%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW311+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:04:42 AM UTC 2026 % Result : Theorem 45.25s 45.42s % Output : Proof 45.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW311+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 21:45:29 EDT 2026 % 0.17/0.34 % CPUTime : % 1.06/1.92 %----Proving TF0_NAR, FOF, or CNF % 45.25/45.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 45.25/45.42 --- Run --no-e-matching --full-saturate-quant at 6... % 45.25/45.42 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 45.25/45.42 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 45.25/45.42 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 45.25/45.42 % SZS status Theorem % 45.25/45.42 % SZS output start Proof % 45.25/45.42 ( % 45.25/45.42 (declare-sort $$unsorted 0) % 45.25/45.42 (declare-const tptp.t_a $$unsorted) % 45.25/45.42 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oflat (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Quotient_OBabs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 45.25/45.42 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 45.25/45.42 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 45.25/45.42 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.v_ts $$unsorted) % 45.25/45.42 (declare-const tptp.c_Int_Ointrel $$unsorted) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 45.25/45.42 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 45.25/45.42 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 45.25/45.42 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 45.25/45.42 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Quotient_ORespects (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 45.25/45.42 (declare-const tptp.c_Nat_OSuc $$unsorted) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.tc_Nat_Onat $$unsorted) % 45.25/45.42 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.v_G_H $$unsorted) % 45.25/45.42 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 45.25/45.42 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_fequal $$unsorted) % 45.25/45.42 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 45.25/45.42 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 45.25/45.42 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Onat $$unsorted) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 45.25/45.42 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.tc_Int_Oint $$unsorted) % 45.25/45.42 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_fconj $$unsorted) % 45.25/45.42 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oall__interval__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Int_OPls $$unsorted) % 45.25/45.42 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_fTrue $$unsorted) % 45.25/45.42 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_OInteg $$unsorted) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_HOL_Obool $$unsorted) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 45.25/45.42 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 45.25/45.42 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Int_OMin $$unsorted) % 45.25/45.42 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 45.25/45.42 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Lazy__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Orderings_Oorder__class_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 45.25/45.42 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 45.25/45.42 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 45.25/45.42 (declare-const tptp.c_fNot $$unsorted) % 45.25/45.42 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 45.25/45.42 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_fimplies $$unsorted) % 45.25/45.42 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_fFalse $$unsorted) % 45.25/45.42 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 45.25/45.42 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_fdisj $$unsorted) % 45.25/45.42 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 45.25/45.42 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 45.25/45.42 (define @t1 () (@var "V_g_2" $$unsorted)) % 45.25/45.42 (define @t2 () (@var "V_f_2" $$unsorted)) % 45.25/45.42 (define @t3 () (@var "B_x" $$unsorted)) % 45.25/45.42 (define @t4 () (tptp.hAPP @t1 @t3)) % 45.25/45.42 (define @t5 () (tptp.hAPP @t2 @t3)) % 45.25/45.42 (define @t6 () (= @t5 @t4)) % 45.25/45.42 (define @t7 () (@list @t3)) % 45.25/45.42 (define @t8 () (@var "V_tsa_2" $$unsorted)) % 45.25/45.42 (define @t9 () (@var "V_G_2" $$unsorted)) % 45.25/45.42 (define @t10 () (@var "T_b" $$unsorted)) % 45.25/45.42 (define @t11 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t8)) % 45.25/45.42 (define @t12 () (tptp.tc_Hoare__Mirabelle_Otriple @t10)) % 45.25/45.42 (define @t13 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t14 () (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t13) @t8)) % 45.25/45.42 (define @t15 () (tptp.hBOOL (tptp.hAPP @t14 @t9))) % 45.25/45.42 (define @t16 () (forall (@list @t9 @t8 @t10) (=> @t15 @t11))) % 45.25/45.42 (define @t17 () (@var "V_ts_H_2" $$unsorted)) % 45.25/45.42 (define @t18 () (@var "V_G_Ha_2" $$unsorted)) % 45.25/45.42 (define @t19 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t18)) % 45.25/45.42 (define @t20 () (=> @t19 @t11)) % 45.25/45.42 (define @t21 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t18 @t8)) % 45.25/45.42 (define @t22 () (@list @t9 @t8 @t18 @t10)) % 45.25/45.42 (define @t23 () (forall @t22 (=> @t21 @t20))) % 45.25/45.42 (define @t24 () (@var "V_B_2" $$unsorted)) % 45.25/45.42 (define @t25 () (@var "V_A_2" $$unsorted)) % 45.25/45.42 (define @t26 () (= @t25 @t24)) % 45.25/45.42 (define @t27 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t28 () (tptp.c_Orderings_Oord__class_Oless__eq @t27)) % 45.25/45.42 (define @t29 () (tptp.hAPP @t28 @t24)) % 45.25/45.42 (define @t30 () (tptp.hBOOL (tptp.hAPP @t29 @t25))) % 45.25/45.42 (define @t31 () (tptp.hAPP @t28 @t25)) % 45.25/45.42 (define @t32 () (tptp.hBOOL (tptp.hAPP @t31 @t24))) % 45.25/45.42 (define @t33 () (@list @t24 @t25 @t10)) % 45.25/45.42 (define @t34 () (@var "V_x" $$unsorted)) % 45.25/45.42 (define @t35 () (@var "T_a" $$unsorted)) % 45.25/45.42 (define @t36 () (tptp.c_Orderings_Oord__class_Oless__eq @t35)) % 45.25/45.42 (define @t37 () (tptp.hAPP @t36 @t34)) % 45.25/45.42 (define @t38 () (tptp.class_Orderings_Opreorder @t35)) % 45.25/45.42 (define @t39 () (@list @t34 @t35)) % 45.25/45.42 (define @t40 () (@var "T_c" $$unsorted)) % 45.25/45.42 (define @t41 () (tptp.c_Orderings_Oord__class_Oless__eq @t40)) % 45.25/45.42 (define @t42 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t5) @t4))) % 45.25/45.42 (define @t43 () (forall @t7 @t42)) % 45.25/45.42 (define @t44 () (tptp.tc_fun @t10 @t40)) % 45.25/45.42 (define @t45 () (tptp.c_Orderings_Oord__class_Oless__eq @t44)) % 45.25/45.42 (define @t46 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t45 @t2) @t1))) % 45.25/45.42 (define @t47 () (tptp.class_Orderings_Oord @t40)) % 45.25/45.42 (define @t48 () (@list @t1 @t2 @t10 @t40)) % 45.25/45.42 (define @t49 () (@var "V_x_2" $$unsorted)) % 45.25/45.42 (define @t50 () (tptp.hAPP @t1 @t49)) % 45.25/45.42 (define @t51 () (tptp.hAPP @t2 @t49)) % 45.25/45.42 (define @t52 () (tptp.hAPP @t41 @t51)) % 45.25/45.42 (define @t53 () (@list @t25 @t10)) % 45.25/45.42 (define @t54 () (@list @t10 @t24 @t25)) % 45.25/45.42 (define @t55 () (@var "V_Q_2" $$unsorted)) % 45.25/45.42 (define @t56 () (tptp.hAPP @t55 @t49)) % 45.25/45.42 (define @t57 () (tptp.hBOOL @t56)) % 45.25/45.42 (define @t58 () (@var "V_P_2" $$unsorted)) % 45.25/45.42 (define @t59 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t58) @t55))) % 45.25/45.42 (define @t60 () (tptp.hAPP @t58 @t49)) % 45.25/45.42 (define @t61 () (tptp.hBOOL @t60)) % 45.25/45.42 (define @t62 () (@var "V_C_2" $$unsorted)) % 45.25/45.42 (define @t63 () (tptp.hBOOL (tptp.hAPP @t31 @t62))) % 45.25/45.42 (define @t64 () (tptp.hBOOL (tptp.hAPP @t29 @t62))) % 45.25/45.42 (define @t65 () (@list @t62 @t24 @t25 @t10)) % 45.25/45.42 (define @t66 () (@var "V_y" $$unsorted)) % 45.25/45.42 (define @t67 () (tptp.hAPP @t36 @t66)) % 45.25/45.42 (define @t68 () (tptp.hBOOL (tptp.hAPP @t67 @t34))) % 45.25/45.42 (define @t69 () (tptp.hBOOL (tptp.hAPP @t37 @t66))) % 45.25/45.42 (define @t70 () (tptp.class_Orderings_Olinorder @t35)) % 45.25/45.42 (define @t71 () (@list @t66 @t34 @t35)) % 45.25/45.42 (define @t72 () (@var "V_z" $$unsorted)) % 45.25/45.42 (define @t73 () (tptp.hAPP @t36 @t72)) % 45.25/45.42 (define @t74 () (tptp.hBOOL (tptp.hAPP @t73 @t34))) % 45.25/45.42 (define @t75 () (tptp.hBOOL (tptp.hAPP @t73 @t66))) % 45.25/45.42 (define @t76 () (tptp.class_Orderings_Oorder @t35)) % 45.25/45.42 (define @t77 () (@list @t72 @t34 @t66 @t35)) % 45.25/45.42 (define @t78 () (= @t34 @t66)) % 45.25/45.42 (define @t79 () (@list @t34 @t66 @t35)) % 45.25/45.42 (define @t80 () (tptp.hBOOL (tptp.hAPP @t37 @t72))) % 45.25/45.42 (define @t81 () (tptp.hBOOL (tptp.hAPP @t67 @t72))) % 45.25/45.42 (define @t82 () (@list @t72 @t66 @t34 @t35)) % 45.25/45.42 (define @t83 () (@var "V_a" $$unsorted)) % 45.25/45.42 (define @t84 () (@var "V_c" $$unsorted)) % 45.25/45.42 (define @t85 () (tptp.hAPP @t36 @t84)) % 45.25/45.42 (define @t86 () (tptp.hBOOL (tptp.hAPP @t85 @t83))) % 45.25/45.42 (define @t87 () (@var "V_b" $$unsorted)) % 45.25/45.42 (define @t88 () (= @t87 @t84)) % 45.25/45.42 (define @t89 () (tptp.hAPP @t36 @t87)) % 45.25/45.42 (define @t90 () (tptp.hBOOL (tptp.hAPP @t89 @t83))) % 45.25/45.42 (define @t91 () (@list @t84 @t83 @t87 @t35)) % 45.25/45.42 (define @t92 () (tptp.hAPP @t36 @t83)) % 45.25/45.42 (define @t93 () (tptp.hBOOL (tptp.hAPP @t92 @t84))) % 45.25/45.42 (define @t94 () (tptp.hBOOL (tptp.hAPP @t92 @t87))) % 45.25/45.42 (define @t95 () (tptp.class_Orderings_Oord @t35)) % 45.25/45.42 (define @t96 () (@list @t84 @t87 @t83 @t35)) % 45.25/45.42 (define @t97 () (= @t83 @t87)) % 45.25/45.42 (define @t98 () (tptp.hBOOL (tptp.hAPP @t89 @t84))) % 45.25/45.42 (define @t99 () (@var "V_y_2" $$unsorted)) % 45.25/45.42 (define @t100 () (= @t49 @t99)) % 45.25/45.42 (define @t101 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 45.25/45.42 (define @t102 () (tptp.hAPP @t101 @t49)) % 45.25/45.42 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t99))) % 45.25/45.42 (define @t104 () (= @t103 @t100)) % 45.25/45.42 (define @t105 () (tptp.hAPP @t101 @t99)) % 45.25/45.42 (define @t106 () (tptp.hBOOL (tptp.hAPP @t105 @t49))) % 45.25/45.42 (define @t107 () (tptp.class_Orderings_Oorder @t10)) % 45.25/45.42 (define @t108 () (@list @t49 @t99 @t10)) % 45.25/45.42 (define @t109 () (@list @t99 @t49 @t10)) % 45.25/45.42 (define @t110 () (tptp.c_Predicate_OPowp @t10 @t25)) % 45.25/45.42 (define @t111 () (tptp.tc_fun @t27 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t112 () (tptp.c_Orderings_Oord__class_Oless__eq @t111)) % 45.25/45.42 (define @t113 () (tptp.hAPP @t2 @t99)) % 45.25/45.42 (define @t114 () (tptp.hBOOL (tptp.hAPP @t52 @t113))) % 45.25/45.42 (define @t115 () (tptp.c_Orderings_Oorder__class_Ostrict__mono @t10 @t40 @t2)) % 45.25/45.42 (define @t116 () (tptp.class_Orderings_Olinorder @t10)) % 45.25/45.42 (define @t117 () (tptp.class_Orderings_Oorder @t40)) % 45.25/45.42 (define @t118 () (and @t117 @t116)) % 45.25/45.42 (define @t119 () (@list @t99 @t49 @t2 @t10 @t40)) % 45.25/45.42 (define @t120 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t10)) % 45.25/45.42 (define @t121 () (tptp.hAPP @t120 @t99)) % 45.25/45.42 (define @t122 () (tptp.hAPP @t120 @t49)) % 45.25/45.42 (define @t123 () (tptp.c_SetInterval_Oord__class_OlessThan @t10)) % 45.25/45.42 (define @t124 () (tptp.hAPP @t123 @t99)) % 45.25/45.42 (define @t125 () (tptp.hAPP @t123 @t49)) % 45.25/45.42 (define @t126 () (tptp.c_SetInterval_Oord__class_OatLeast @t10)) % 45.25/45.42 (define @t127 () (tptp.hAPP @t126 @t99)) % 45.25/45.42 (define @t128 () (tptp.hAPP @t126 @t49)) % 45.25/45.42 (define @t129 () (tptp.c_SetInterval_Oord__class_OatMost @t10)) % 45.25/45.42 (define @t130 () (tptp.hAPP @t129 @t99)) % 45.25/45.42 (define @t131 () (tptp.hAPP @t129 @t49)) % 45.25/45.42 (define @t132 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t40)) % 45.25/45.42 (define @t133 () (tptp.hAPP @t132 @t25)) % 45.25/45.42 (define @t134 () (tptp.hAPP @t133 @t2)) % 45.25/45.42 (define @t135 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t40)) % 45.25/45.42 (define @t136 () (@list @t2 @t24 @t25 @t10 @t40)) % 45.25/45.42 (define @t137 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t40)) % 45.25/45.42 (define @t138 () (tptp.hAPP @t137 @t25)) % 45.25/45.42 (define @t139 () (tptp.hAPP @t138 @t2)) % 45.25/45.42 (define @t140 () (tptp.c_Orderings_Otop__class_Otop @t35)) % 45.25/45.42 (define @t141 () (tptp.c_Orderings_Obot__class_Obot @t35)) % 45.25/45.42 (define @t142 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 45.25/45.42 (define @t143 () (tptp.c_Orderings_Otop__class_Otop @t27)) % 45.25/45.42 (define @t144 () (@list @t10)) % 45.25/45.42 (define @t145 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 45.25/45.42 (define @t146 () (tptp.tc_fun @t40 @t10)) % 45.25/45.42 (define @t147 () (@list @t49 @t40 @t10)) % 45.25/45.42 (define @t148 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 45.25/45.42 (define @t149 () (= @t51 @t113)) % 45.25/45.42 (define @t150 () (= @t149 @t100)) % 45.25/45.42 (define @t151 () (= @t25 @t142)) % 45.25/45.42 (define @t152 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 45.25/45.42 (define @t153 () (@var "V_a_2" $$unsorted)) % 45.25/45.42 (define @t154 () (@list @t153 @t10)) % 45.25/45.42 (define @t155 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t10)) % 45.25/45.42 (define @t156 () (tptp.c_Set_OPow @t10)) % 45.25/45.42 (define @t157 () (tptp.hAPP @t156 @t24)) % 45.25/45.42 (define @t158 () (tptp.hAPP @t156 @t25)) % 45.25/45.42 (define @t159 () (@var "V_l_2" $$unsorted)) % 45.25/45.42 (define @t160 () (@var "V_k_2" $$unsorted)) % 45.25/45.42 (define @t161 () (tptp.hAPP @t101 @t159)) % 45.25/45.42 (define @t162 () (tptp.hBOOL (tptp.hAPP @t161 @t160))) % 45.25/45.42 (define @t163 () (@list @t160 @t159 @t10)) % 45.25/45.42 (define @t164 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t160 @t159)) % 45.25/45.42 (define @t165 () (= @t164 @t142)) % 45.25/45.42 (define @t166 () (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t24)) % 45.25/45.42 (define @t167 () (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t25)) % 45.25/45.42 (define @t168 () (tptp.hAPP @t28 @t167)) % 45.25/45.42 (define @t169 () (@list @t25 @t24 @t10)) % 45.25/45.42 (define @t170 () (@var "V_d_2" $$unsorted)) % 45.25/45.42 (define @t171 () (@var "V_b_2" $$unsorted)) % 45.25/45.42 (define @t172 () (tptp.hAPP @t101 @t171)) % 45.25/45.42 (define @t173 () (tptp.hBOOL (tptp.hAPP @t172 @t170))) % 45.25/45.42 (define @t174 () (@var "V_c_2" $$unsorted)) % 45.25/45.42 (define @t175 () (tptp.hAPP @t101 @t174)) % 45.25/45.42 (define @t176 () (tptp.hBOOL (tptp.hAPP @t175 @t153))) % 45.25/45.42 (define @t177 () (and @t176 @t173)) % 45.25/45.42 (define @t178 () (tptp.hBOOL (tptp.hAPP @t172 @t153))) % 45.25/45.42 (define @t179 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t174) @t170)) % 45.25/45.42 (define @t180 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t153) @t171)) % 45.25/45.42 (define @t181 () (@list @t170 @t174 @t171 @t153 @t10)) % 45.25/45.42 (define @t182 () (tptp.hAPP @t129 @t160)) % 45.25/45.42 (define @t183 () (tptp.hAPP @t120 @t160)) % 45.25/45.42 (define @t184 () (tptp.c_Groups_Ouminus__class_Ouminus @t27)) % 45.25/45.42 (define @t185 () (@list @t160 @t10)) % 45.25/45.42 (define @t186 () (= @t180 @t142)) % 45.25/45.42 (define @t187 () (@list @t153 @t171 @t10)) % 45.25/45.42 (define @t188 () (tptp.hAPP @t101 @t153)) % 45.25/45.42 (define @t189 () (tptp.hBOOL (tptp.hAPP @t188 @t171))) % 45.25/45.42 (define @t190 () (not @t189)) % 45.25/45.42 (define @t191 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t174 @t170)) % 45.25/45.42 (define @t192 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t153 @t171)) % 45.25/45.42 (define @t193 () (tptp.hAPP @t126 @t160)) % 45.25/45.42 (define @t194 () (tptp.hAPP @t123 @t160)) % 45.25/45.42 (define @t195 () (@list @t49 @t10)) % 45.25/45.42 (define @t196 () (tptp.c_Orderings_Obot__class_Obot @t111)) % 45.25/45.42 (define @t197 () (tptp.c_Orderings_Otop__class_Otop @t111)) % 45.25/45.42 (define @t198 () (tptp.hAPP @t184 @t24)) % 45.25/45.42 (define @t199 () (tptp.hAPP @t184 @t25)) % 45.25/45.42 (define @t200 () (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t25)) % 45.25/45.42 (define @t201 () (tptp.hAPP @t112 @t25)) % 45.25/45.42 (define @t202 () (tptp.hAPP @t101 @t3)) % 45.25/45.42 (define @t203 () (tptp.c_member @t10)) % 45.25/45.42 (define @t204 () (tptp.hAPP @t203 @t3)) % 45.25/45.42 (define @t205 () (tptp.hBOOL (tptp.hAPP @t204 @t25))) % 45.25/45.42 (define @t206 () (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t202 @t171))))) % 45.25/45.42 (define @t207 () (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t25)) % 45.25/45.42 (define @t208 () (@list @t171 @t25 @t10)) % 45.25/45.42 (define @t209 () (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t172 @t3))))) % 45.25/45.42 (define @t210 () (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t25)) % 45.25/45.42 (define @t211 () (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t24)) % 45.25/45.42 (define @t212 () (= @t192 @t142)) % 45.25/45.42 (define @t213 () (@list @t171 @t153 @t10)) % 45.25/45.42 (define @t214 () (tptp.c_Groups_Ouminus__class_Ouminus @t35)) % 45.25/45.42 (define @t215 () (tptp.class_Lattices_Oboolean__algebra @t35)) % 45.25/45.42 (define @t216 () (@list @t35)) % 45.25/45.42 (define @t217 () (tptp.hAPP @t25 @t49)) % 45.25/45.42 (define @t218 () (tptp.c_Groups_Ouminus__class_Ouminus @t10)) % 45.25/45.42 (define @t219 () (@list @t49 @t25 @t40 @t10)) % 45.25/45.42 (define @t220 () (tptp.hAPP @t214 @t34)) % 45.25/45.42 (define @t221 () (tptp.hAPP @t214 @t66)) % 45.25/45.42 (define @t222 () (tptp.hAPP @t214 @t83)) % 45.25/45.42 (define @t223 () (tptp.hAPP @t214 @t87)) % 45.25/45.42 (define @t224 () (tptp.class_Groups_Oordered__ab__group__add @t35)) % 45.25/45.42 (define @t225 () (@list @t87 @t83 @t35)) % 45.25/45.42 (define @t226 () (tptp.hAPP @t218 @t99)) % 45.25/45.42 (define @t227 () (tptp.hAPP @t218 @t49)) % 45.25/45.42 (define @t228 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 45.25/45.42 (define @t229 () (tptp.hAPP @t218 @t153)) % 45.25/45.42 (define @t230 () (tptp.hAPP @t218 @t171)) % 45.25/45.42 (define @t231 () (tptp.hAPP @t101 @t230)) % 45.25/45.42 (define @t232 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 45.25/45.42 (define @t233 () (tptp.hAPP @t101 @t229)) % 45.25/45.42 (define @t234 () (tptp.hBOOL (tptp.hAPP @t233 @t171))) % 45.25/45.42 (define @t235 () (tptp.hAPP @t126 @t159)) % 45.25/45.42 (define @t236 () (@var "V_u_2" $$unsorted)) % 45.25/45.42 (define @t237 () (tptp.hAPP @t120 @t236)) % 45.25/45.42 (define @t238 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t159 @t236)) % 45.25/45.42 (define @t239 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t27)) % 45.25/45.42 (define @t240 () (tptp.hBOOL (tptp.hAPP @t161 @t236))) % 45.25/45.42 (define @t241 () (@list @t236 @t159 @t10)) % 45.25/45.42 (define @t242 () (tptp.hAPP @t129 @t236)) % 45.25/45.42 (define @t243 () (tptp.hAPP @t123 @t159)) % 45.25/45.42 (define @t244 () (tptp.hAPP @t239 @t243)) % 45.25/45.42 (define @t245 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t159 @t236)) % 45.25/45.42 (define @t246 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t27)) % 45.25/45.42 (define @t247 () (tptp.hAPP @t24 @t49)) % 45.25/45.42 (define @t248 () (tptp.hBOOL @t247)) % 45.25/45.42 (define @t249 () (tptp.hBOOL @t217)) % 45.25/45.42 (define @t250 () (tptp.hAPP @t239 @t25)) % 45.25/45.42 (define @t251 () (tptp.hAPP @t250 @t24)) % 45.25/45.42 (define @t252 () (tptp.hBOOL (tptp.hAPP @t251 @t49))) % 45.25/45.42 (define @t253 () (@list @t49 @t24 @t25 @t10)) % 45.25/45.42 (define @t254 () (not @t248)) % 45.25/45.42 (define @t255 () (tptp.hAPP @t246 @t25)) % 45.25/45.42 (define @t256 () (tptp.hAPP @t255 @t24)) % 45.25/45.42 (define @t257 () (tptp.hBOOL (tptp.hAPP @t256 @t49))) % 45.25/45.42 (define @t258 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t111)) % 45.25/45.42 (define @t259 () (tptp.hAPP (tptp.hAPP @t258 @t25) @t24)) % 45.25/45.42 (define @t260 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t35)) % 45.25/45.42 (define @t261 () (tptp.hAPP @t260 @t220)) % 45.25/45.42 (define @t262 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t35)) % 45.25/45.42 (define @t263 () (tptp.hAPP @t262 @t34)) % 45.25/45.42 (define @t264 () (tptp.hAPP @t263 @t66)) % 45.25/45.42 (define @t265 () (tptp.hAPP @t262 @t220)) % 45.25/45.42 (define @t266 () (tptp.hAPP @t260 @t34)) % 45.25/45.42 (define @t267 () (tptp.hAPP @t266 @t66)) % 45.25/45.42 (define @t268 () (tptp.hAPP @t246 @t24)) % 45.25/45.42 (define @t269 () (tptp.hAPP @t268 @t25)) % 45.25/45.42 (define @t270 () (tptp.hAPP @t239 @t24)) % 45.25/45.42 (define @t271 () (tptp.hAPP @t270 @t25)) % 45.25/45.42 (define @t272 () (tptp.hAPP @t255 @t62)) % 45.25/45.42 (define @t273 () (tptp.hAPP @t268 @t62)) % 45.25/45.42 (define @t274 () (tptp.hAPP @t255 @t273)) % 45.25/45.42 (define @t275 () (tptp.hAPP @t250 @t62)) % 45.25/45.42 (define @t276 () (tptp.hAPP @t270 @t62)) % 45.25/45.42 (define @t277 () (tptp.hAPP @t250 @t276)) % 45.25/45.42 (define @t278 () (tptp.hAPP @t239 @t256)) % 45.25/45.42 (define @t279 () (tptp.hAPP @t255 @t276)) % 45.25/45.42 (define @t280 () (tptp.hAPP @t246 @t251)) % 45.25/45.42 (define @t281 () (tptp.hAPP @t246 @t62)) % 45.25/45.42 (define @t282 () (tptp.hAPP @t281 @t25)) % 45.25/45.42 (define @t283 () (@list @t25 @t62 @t24 @t10)) % 45.25/45.42 (define @t284 () (tptp.hAPP @t239 @t62)) % 45.25/45.42 (define @t285 () (tptp.hAPP @t284 @t25)) % 45.25/45.42 (define @t286 () (tptp.hAPP @t58 @t3)) % 45.25/45.42 (define @t287 () (tptp.hBOOL @t286)) % 45.25/45.42 (define @t288 () (tptp.hBOOL (tptp.hAPP @t204 @t24))) % 45.25/45.42 (define @t289 () (tptp.hBOOL (tptp.hAPP @t204 @t251))) % 45.25/45.42 (define @t290 () (@list @t58 @t24 @t25 @t10)) % 45.25/45.42 (define @t291 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10)) % 45.25/45.42 (define @t292 () (tptp.class_Lattices_Olattice @t10)) % 45.25/45.42 (define @t293 () (@list @t49 @t1 @t2 @t40 @t10)) % 45.25/45.42 (define @t294 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t10)) % 45.25/45.42 (define @t295 () (tptp.hAPP @t260 @t66)) % 45.25/45.42 (define @t296 () (tptp.hAPP @t295 @t34)) % 45.25/45.42 (define @t297 () (tptp.hAPP @t262 @t66)) % 45.25/45.42 (define @t298 () (tptp.hAPP @t297 @t72)) % 45.25/45.42 (define @t299 () (tptp.class_Lattices_Odistrib__lattice @t35)) % 45.25/45.42 (define @t300 () (@list @t34 @t72 @t66 @t35)) % 45.25/45.42 (define @t301 () (tptp.hAPP @t297 @t34)) % 45.25/45.42 (define @t302 () (tptp.hAPP @t295 @t72)) % 45.25/45.42 (define @t303 () (tptp.hAPP @t266 @t302)) % 45.25/45.42 (define @t304 () (= (tptp.hAPP (tptp.hAPP @t260 @t267) @t72) @t303)) % 45.25/45.42 (define @t305 () (tptp.class_Lattices_Osemilattice__sup @t35)) % 45.25/45.42 (define @t306 () (tptp.class_Lattices_Olattice @t35)) % 45.25/45.42 (define @t307 () (tptp.hAPP @t260 @t87)) % 45.25/45.42 (define @t308 () (tptp.hAPP @t260 @t83)) % 45.25/45.42 (define @t309 () (tptp.hAPP @t308 (tptp.hAPP @t307 @t84))) % 45.25/45.42 (define @t310 () (tptp.hAPP @t308 @t87)) % 45.25/45.42 (define @t311 () (tptp.hAPP @t263 @t298)) % 45.25/45.42 (define @t312 () (= (tptp.hAPP (tptp.hAPP @t262 @t264) @t72) @t311)) % 45.25/45.42 (define @t313 () (tptp.class_Lattices_Osemilattice__inf @t35)) % 45.25/45.42 (define @t314 () (tptp.hAPP @t262 @t87)) % 45.25/45.42 (define @t315 () (tptp.hAPP @t262 @t83)) % 45.25/45.42 (define @t316 () (tptp.hAPP @t315 (tptp.hAPP @t314 @t84))) % 45.25/45.42 (define @t317 () (tptp.hAPP @t315 @t87)) % 45.25/45.42 (define @t318 () (tptp.hAPP @t266 @t72)) % 45.25/45.42 (define @t319 () (tptp.hAPP (tptp.hAPP @t262 @t267) @t318)) % 45.25/45.42 (define @t320 () (tptp.hAPP @t266 @t298)) % 45.25/45.42 (define @t321 () (tptp.hAPP @t263 @t72)) % 45.25/45.42 (define @t322 () (tptp.hAPP (tptp.hAPP @t260 @t264) @t321)) % 45.25/45.42 (define @t323 () (tptp.hAPP @t263 @t302)) % 45.25/45.42 (define @t324 () (= @t303 (tptp.hAPP @t295 @t318))) % 45.25/45.42 (define @t325 () (= @t311 (tptp.hAPP @t297 @t321))) % 45.25/45.42 (define @t326 () (= (tptp.hAPP @t266 @t267) @t267)) % 45.25/45.42 (define @t327 () (= (tptp.hAPP @t263 @t264) @t264)) % 45.25/45.42 (define @t328 () (= @t267 @t296)) % 45.25/45.42 (define @t329 () (= @t264 @t301)) % 45.25/45.42 (define @t330 () (= (tptp.hAPP @t266 @t34) @t34)) % 45.25/45.42 (define @t331 () (@list @t83 @t35)) % 45.25/45.42 (define @t332 () (= (tptp.hAPP @t263 @t34) @t34)) % 45.25/45.42 (define @t333 () (tptp.hAPP @t28 @t62)) % 45.25/45.42 (define @t334 () (tptp.hBOOL (tptp.hAPP @t333 @t25))) % 45.25/45.42 (define @t335 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t111)) % 45.25/45.42 (define @t336 () (tptp.hAPP (tptp.hAPP @t335 @t25) @t24)) % 45.25/45.42 (define @t337 () (tptp.hBOOL (tptp.hAPP @t37 @t267))) % 45.25/45.42 (define @t338 () (tptp.hBOOL (tptp.hAPP @t67 @t267))) % 45.25/45.42 (define @t339 () (tptp.hAPP @t36 @t264)) % 45.25/45.42 (define @t340 () (tptp.hBOOL (tptp.hAPP @t339 @t34))) % 45.25/45.42 (define @t341 () (tptp.hBOOL (tptp.hAPP @t339 @t66))) % 45.25/45.42 (define @t342 () (tptp.hAPP @t294 @t49)) % 45.25/45.42 (define @t343 () (tptp.hAPP @t342 @t99)) % 45.25/45.42 (define @t344 () (tptp.class_Lattices_Osemilattice__inf @t10)) % 45.25/45.42 (define @t345 () (tptp.hAPP @t291 @t49)) % 45.25/45.42 (define @t346 () (tptp.hAPP @t345 @t99)) % 45.25/45.42 (define @t347 () (tptp.class_Lattices_Osemilattice__sup @t10)) % 45.25/45.42 (define @t348 () (@var "V_z_2" $$unsorted)) % 45.25/45.42 (define @t349 () (tptp.hBOOL (tptp.hAPP @t102 @t348))) % 45.25/45.42 (define @t350 () (and @t103 @t349)) % 45.25/45.42 (define @t351 () (@list @t348 @t99 @t49 @t10)) % 45.25/45.42 (define @t352 () (tptp.hBOOL (tptp.hAPP @t105 @t348))) % 45.25/45.42 (define @t353 () (and @t349 @t352)) % 45.25/45.42 (define @t354 () (tptp.hBOOL (tptp.hAPP @t37 @t310))) % 45.25/45.42 (define @t355 () (tptp.hBOOL (tptp.hAPP @t37 @t83))) % 45.25/45.42 (define @t356 () (@list @t87 @t83 @t34 @t35)) % 45.25/45.42 (define @t357 () (tptp.hBOOL (tptp.hAPP @t37 @t87))) % 45.25/45.42 (define @t358 () (@list @t83 @t87 @t34 @t35)) % 45.25/45.42 (define @t359 () (tptp.hAPP @t36 @t317)) % 45.25/45.42 (define @t360 () (tptp.hBOOL (tptp.hAPP @t359 @t34))) % 45.25/45.42 (define @t361 () (tptp.hBOOL (tptp.hAPP @t92 @t34))) % 45.25/45.42 (define @t362 () (@list @t87 @t34 @t83 @t35)) % 45.25/45.42 (define @t363 () (tptp.hBOOL (tptp.hAPP @t89 @t34))) % 45.25/45.42 (define @t364 () (@list @t83 @t34 @t87 @t35)) % 45.25/45.42 (define @t365 () (tptp.hBOOL (tptp.hAPP @t37 @t317))) % 45.25/45.42 (define @t366 () (tptp.hAPP @t36 @t310)) % 45.25/45.42 (define @t367 () (tptp.hBOOL (tptp.hAPP @t366 @t34))) % 45.25/45.42 (define @t368 () (@var "V_d" $$unsorted)) % 45.25/45.42 (define @t369 () (tptp.hBOOL (tptp.hAPP @t89 @t368))) % 45.25/45.42 (define @t370 () (@list @t368 @t87 @t84 @t83 @t35)) % 45.25/45.42 (define @t371 () (not (=> @t355 (not @t357)))) % 45.25/45.42 (define @t372 () (not (=> @t361 (not @t363)))) % 45.25/45.42 (define @t373 () (@list @t34 @t87 @t83 @t35)) % 45.25/45.42 (define @t374 () (tptp.class_Lattices_Obounded__lattice__bot @t35)) % 45.25/45.42 (define @t375 () (tptp.hAPP @t239 @t199)) % 45.25/45.42 (define @t376 () (tptp.hAPP @t246 @t199)) % 45.25/45.42 (define @t377 () (tptp.class_Lattices_Obounded__lattice__top @t35)) % 45.25/45.42 (define @t378 () (@list @t24 @t10)) % 45.25/45.42 (define @t379 () (= @t24 @t142)) % 45.25/45.42 (define @t380 () (@var "B_xa" $$unsorted)) % 45.25/45.42 (define @t381 () (= @t3 @t380)) % 45.25/45.42 (define @t382 () (not @t381)) % 45.25/45.42 (define @t383 () (tptp.hAPP @t203 @t380)) % 45.25/45.42 (define @t384 () (@list @t380)) % 45.25/45.42 (define @t385 () (= @t256 @t142)) % 45.25/45.42 (define @t386 () (tptp.hAPP @t246 @t3)) % 45.25/45.42 (define @t387 () (tptp.c_member @t27)) % 45.25/45.42 (define @t388 () (tptp.hAPP @t387 @t3)) % 45.25/45.42 (define @t389 () (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t62)) % 45.25/45.42 (define @t390 () (@list @t25 @t62 @t10)) % 45.25/45.42 (define @t391 () (= @t251 @t24)) % 45.25/45.42 (define @t392 () (tptp.hAPP @t28 @t251)) % 45.25/45.42 (define @t393 () (@list @t24 @t62 @t25 @t10)) % 45.25/45.42 (define @t394 () (@var "V_D_2" $$unsorted)) % 45.25/45.42 (define @t395 () (tptp.hBOOL (tptp.hAPP @t29 @t394))) % 45.25/45.42 (define @t396 () (@list @t394 @t24 @t62 @t25 @t10)) % 45.25/45.42 (define @t397 () (tptp.hAPP @t28 @t256)) % 45.25/45.42 (define @t398 () (@list @t24 @t25 @t62 @t10)) % 45.25/45.42 (define @t399 () (tptp.hAPP @t258 @t158)) % 45.25/45.42 (define @t400 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t159)) % 45.25/45.42 (define @t401 () (tptp.hAPP @t400 @t236)) % 45.25/45.42 (define @t402 () (@var "V_m_2" $$unsorted)) % 45.25/45.42 (define @t403 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t402) @t236)) % 45.25/45.42 (define @t404 () (tptp.hAPP @t400 @t402)) % 45.25/45.42 (define @t405 () (tptp.hAPP @t239 @t404)) % 45.25/45.42 (define @t406 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t402) @t236))) % 45.25/45.42 (define @t407 () (tptp.hBOOL (tptp.hAPP @t161 @t402))) % 45.25/45.42 (define @t408 () (@list @t236 @t402 @t159 @t10)) % 45.25/45.42 (define @t409 () (tptp.hAPP @t246 @t404)) % 45.25/45.42 (define @t410 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t402 @t236)) % 45.25/45.42 (define @t411 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t159 @t402)) % 45.25/45.42 (define @t412 () (tptp.hAPP @t239 @t411)) % 45.25/45.42 (define @t413 () (tptp.hAPP @t246 @t411)) % 45.25/45.42 (define @t414 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t402 @t236)) % 45.25/45.42 (define @t415 () (tptp.hAPP @t123 @t236)) % 45.25/45.42 (define @t416 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t159 @t402)) % 45.25/45.42 (define @t417 () (tptp.hAPP @t239 @t416)) % 45.25/45.42 (define @t418 () (tptp.hAPP @t246 @t243)) % 45.25/45.42 (define @t419 () (tptp.hAPP @t246 @t416)) % 45.25/45.42 (define @t420 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t402 @t236)) % 45.25/45.42 (define @t421 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t159 @t402)) % 45.25/45.42 (define @t422 () (tptp.hAPP @t246 @t421)) % 45.25/45.42 (define @t423 () (tptp.hAPP @t126 @t236)) % 45.25/45.42 (define @t424 () (tptp.hAPP @t239 @t401)) % 45.25/45.42 (define @t425 () (tptp.hAPP @t129 @t159)) % 45.25/45.42 (define @t426 () (tptp.hAPP @t239 @t425)) % 45.25/45.42 (define @t427 () (tptp.hAPP @t246 @t425)) % 45.25/45.42 (define @t428 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t159 @t236)) % 45.25/45.42 (define @t429 () (= @t153 @t171)) % 45.25/45.42 (define @t430 () (tptp.class_Groups_Ogroup__add @t10)) % 45.25/45.42 (define @t431 () (= @t153 @t230)) % 45.25/45.42 (define @t432 () (tptp.class_Groups_Ogroup__add @t35)) % 45.25/45.42 (define @t433 () (tptp.hAPP @t120 @t159)) % 45.25/45.42 (define @t434 () (tptp.hAPP @t239 @t421)) % 45.25/45.42 (define @t435 () (tptp.c_Orderings_Oord__class_Oless @t10)) % 45.25/45.42 (define @t436 () (tptp.hAPP @t435 @t159)) % 45.25/45.42 (define @t437 () (tptp.hBOOL (tptp.hAPP @t436 @t402))) % 45.25/45.42 (define @t438 () (tptp.hAPP @t435 @t402)) % 45.25/45.42 (define @t439 () (tptp.hBOOL (tptp.hAPP @t438 @t236))) % 45.25/45.42 (define @t440 () (tptp.c_Set_Oinsert @t10)) % 45.25/45.42 (define @t441 () (tptp.hAPP @t239 (tptp.hAPP (tptp.hAPP @t440 @t159) @t142))) % 45.25/45.42 (define @t442 () (tptp.hAPP (tptp.hAPP @t440 @t236) @t142)) % 45.25/45.42 (define @t443 () (tptp.hAPP @t239 @t428)) % 45.25/45.42 (define @t444 () (tptp.hBOOL (tptp.hAPP @t436 @t236))) % 45.25/45.42 (define @t445 () (@var "V_n_2" $$unsorted)) % 45.25/45.42 (define @t446 () (@list @t445 @t10)) % 45.25/45.42 (define @t447 () (tptp.c_Orderings_Oord__class_Oless @t35)) % 45.25/45.42 (define @t448 () (tptp.hAPP @t447 @t66)) % 45.25/45.42 (define @t449 () (tptp.hBOOL (tptp.hAPP @t448 @t34))) % 45.25/45.42 (define @t450 () (not @t78)) % 45.25/45.42 (define @t451 () (tptp.hAPP @t447 @t34)) % 45.25/45.42 (define @t452 () (tptp.hBOOL (tptp.hAPP @t451 @t66))) % 45.25/45.42 (define @t453 () (not @t452)) % 45.25/45.42 (define @t454 () (tptp.hAPP @t447 @t72)) % 45.25/45.42 (define @t455 () (tptp.hBOOL (tptp.hAPP @t454 @t34))) % 45.25/45.42 (define @t456 () (=> (tptp.hBOOL (tptp.hAPP @t454 @t66)) @t455)) % 45.25/45.42 (define @t457 () (tptp.hBOOL (tptp.hAPP @t451 @t72))) % 45.25/45.42 (define @t458 () (=> (tptp.hBOOL (tptp.hAPP @t448 @t72)) @t457)) % 45.25/45.42 (define @t459 () (tptp.hAPP @t447 @t84)) % 45.25/45.42 (define @t460 () (tptp.hBOOL (tptp.hAPP @t459 @t83))) % 45.25/45.42 (define @t461 () (tptp.hAPP @t447 @t87)) % 45.25/45.42 (define @t462 () (tptp.hBOOL (tptp.hAPP @t461 @t83))) % 45.25/45.42 (define @t463 () (tptp.hAPP @t447 @t83)) % 45.25/45.42 (define @t464 () (tptp.hBOOL (tptp.hAPP @t463 @t84))) % 45.25/45.42 (define @t465 () (tptp.hBOOL (tptp.hAPP @t463 @t87))) % 45.25/45.42 (define @t466 () (tptp.hBOOL (tptp.hAPP @t461 @t84))) % 45.25/45.42 (define @t467 () (@list @t83 @t87 @t35)) % 45.25/45.42 (define @t468 () (not (= @t66 @t34))) % 45.25/45.42 (define @t469 () (=> @t450 (=> @t453 @t449))) % 45.25/45.42 (define @t470 () (tptp.hAPP @t435 @t49)) % 45.25/45.42 (define @t471 () (tptp.hBOOL (tptp.hAPP @t470 @t99))) % 45.25/45.42 (define @t472 () (not @t471)) % 45.25/45.42 (define @t473 () (= @t472 @t100)) % 45.25/45.42 (define @t474 () (tptp.hAPP @t435 @t99)) % 45.25/45.42 (define @t475 () (tptp.hBOOL (tptp.hAPP @t474 @t49))) % 45.25/45.42 (define @t476 () (= @t99 @t49)) % 45.25/45.42 (define @t477 () (tptp.hAPP @t440 @t99)) % 45.25/45.42 (define @t478 () (tptp.hAPP @t477 @t25)) % 45.25/45.42 (define @t479 () (tptp.hAPP @t440 @t49)) % 45.25/45.42 (define @t480 () (tptp.hAPP @t479 @t25)) % 45.25/45.42 (define @t481 () (@list @t25 @t99 @t49 @t10)) % 45.25/45.42 (define @t482 () (@list @t25 @t49 @t10)) % 45.25/45.42 (define @t483 () (not @t100)) % 45.25/45.42 (define @t484 () (tptp.c_Orderings_Oord__class_Oless @t27)) % 45.25/45.42 (define @t485 () (@list @t445 @t402 @t10)) % 45.25/45.42 (define @t486 () (tptp.hBOOL (tptp.hAPP @t175 @t170))) % 45.25/45.42 (define @t487 () (tptp.hAPP @t435 @t171)) % 45.25/45.42 (define @t488 () (tptp.hAPP @t435 @t174)) % 45.25/45.42 (define @t489 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t44) @t2) @t1))) % 45.25/45.42 (define @t490 () (not @t97)) % 45.25/45.42 (define @t491 () (tptp.hAPP @t440 @t171)) % 45.25/45.42 (define @t492 () (tptp.hAPP @t491 @t142)) % 45.25/45.42 (define @t493 () (tptp.hAPP @t440 @t153)) % 45.25/45.42 (define @t494 () (tptp.hAPP @t493 @t142)) % 45.25/45.42 (define @t495 () (= @t171 @t174)) % 45.25/45.42 (define @t496 () (= @t171 @t170)) % 45.25/45.42 (define @t497 () (= @t153 @t174)) % 45.25/45.42 (define @t498 () (and @t497 @t496)) % 45.25/45.42 (define @t499 () (tptp.hAPP @t440 @t174)) % 45.25/45.42 (define @t500 () (tptp.hAPP @t493 @t492)) % 45.25/45.42 (define @t501 () (tptp.hAPP @t493 @t25)) % 45.25/45.42 (define @t502 () (@list @t25 @t153 @t10)) % 45.25/45.42 (define @t503 () (tptp.hAPP @t491 @t24)) % 45.25/45.42 (define @t504 () (tptp.hAPP @t493 @t24)) % 45.25/45.42 (define @t505 () (tptp.hAPP @t484 @t25)) % 45.25/45.42 (define @t506 () (@list @t24 @t153 @t25 @t10)) % 45.25/45.42 (define @t507 () (tptp.hAPP @t493 @t256)) % 45.25/45.42 (define @t508 () (@list @t24 @t25 @t153 @t10)) % 45.25/45.42 (define @t509 () (tptp.hBOOL (tptp.hAPP @t451 @t310))) % 45.25/45.42 (define @t510 () (tptp.hBOOL (tptp.hAPP @t451 @t83))) % 45.25/45.42 (define @t511 () (tptp.hBOOL (tptp.hAPP @t451 @t87))) % 45.25/45.42 (define @t512 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t317) @t34))) % 45.25/45.42 (define @t513 () (tptp.hBOOL (tptp.hAPP @t463 @t34))) % 45.25/45.42 (define @t514 () (tptp.hBOOL (tptp.hAPP @t461 @t34))) % 45.25/45.42 (define @t515 () (tptp.hAPP @t435 @t153)) % 45.25/45.42 (define @t516 () (tptp.hAPP @t435 @t230)) % 45.25/45.42 (define @t517 () (tptp.hAPP @t435 @t229)) % 45.25/45.42 (define @t518 () (tptp.hBOOL (tptp.hAPP @t517 @t171))) % 45.25/45.42 (define @t519 () (tptp.hBOOL (tptp.hAPP @t515 @t171))) % 45.25/45.42 (define @t520 () (tptp.hBOOL (tptp.hAPP @t505 @t62))) % 45.25/45.42 (define @t521 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t484 @t24) @t62)) @t520)) % 45.25/45.42 (define @t522 () (tptp.hBOOL (tptp.hAPP @t505 @t24))) % 45.25/45.42 (define @t523 () (tptp.hBOOL (tptp.hAPP @t488 @t170))) % 45.25/45.42 (define @t524 () (= @t180 @t179)) % 45.25/45.42 (define @t525 () (@var "V_S_2" $$unsorted)) % 45.25/45.42 (define @t526 () (tptp.hBOOL (tptp.hAPP @t204 @t525))) % 45.25/45.42 (define @t527 () (and @t155 @t116)) % 45.25/45.42 (define @t528 () (tptp.hAPP @t435 @t3)) % 45.25/45.42 (define @t529 () (tptp.c_Orderings_Oord__class_Oless @t40)) % 45.25/45.42 (define @t530 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t529 @t51) @t113))) % 45.25/45.42 (define @t531 () (and @t117 @t107)) % 45.25/45.42 (define @t532 () (tptp.hAPP @t479 @t142)) % 45.25/45.42 (define @t533 () (@list @t49 @t25 @t10)) % 45.25/45.42 (define @t534 () (@list @t174 @t171 @t153 @t10)) % 45.25/45.42 (define @t535 () (tptp.hAPP @t291 @t153)) % 45.25/45.42 (define @t536 () (tptp.hBOOL (tptp.hAPP @t487 @t153))) % 45.25/45.42 (define @t537 () (not @t519)) % 45.25/45.42 (define @t538 () (tptp.hAPP @t294 @t153)) % 45.25/45.42 (define @t539 () (tptp.c_Set_Oinsert @t27)) % 45.25/45.42 (define @t540 () (tptp.hAPP (tptp.hAPP @t539 @t153) @t24)) % 45.25/45.42 (define @t541 () (@list @t24 @t153 @t10)) % 45.25/45.42 (define @t542 () (tptp.hAPP @t435 @t160)) % 45.25/45.42 (define @t543 () (not (tptp.hBOOL (tptp.hAPP @t542 @t159)))) % 45.25/45.42 (define @t544 () (@list @t159 @t160 @t10)) % 45.25/45.42 (define @t545 () (@var "V_t_2" $$unsorted)) % 45.25/45.42 (define @t546 () (tptp.hAPP (tptp.c_Set_Oinsert @t12) @t545)) % 45.25/45.42 (define @t547 () (tptp.hAPP @t535 @t171)) % 45.25/45.42 (define @t548 () (tptp.hAPP @t538 @t171)) % 45.25/45.42 (define @t549 () (tptp.hAPP (tptp.hAPP @t539 @t25) (tptp.hAPP (tptp.hAPP @t539 @t24) @t196))) % 45.25/45.42 (define @t550 () (tptp.class_Rings_Olinordered__idom @t35)) % 45.25/45.42 (define @t551 () (tptp.c_Orderings_Oord__class_Omax @t10)) % 45.25/45.42 (define @t552 () (tptp.hAPP @t551 @t153)) % 45.25/45.42 (define @t553 () (tptp.hAPP @t552 @t174)) % 45.25/45.42 (define @t554 () (tptp.hAPP @t246 @t192)) % 45.25/45.42 (define @t555 () (tptp.c_Set_Oimage @t10 @t10 @t218)) % 45.25/45.42 (define @t556 () (tptp.c_Orderings_Oord__class_Omax @t35)) % 45.25/45.42 (define @t557 () (tptp.hAPP @t556 @t34)) % 45.25/45.42 (define @t558 () (tptp.hAPP @t556 @t83)) % 45.25/45.42 (define @t559 () (tptp.hAPP @t556 @t87)) % 45.25/45.42 (define @t560 () (tptp.hAPP @t558 @t87)) % 45.25/45.42 (define @t561 () (tptp.hAPP @t556 @t66)) % 45.25/45.42 (define @t562 () (tptp.hAPP @t561 @t34)) % 45.25/45.42 (define @t563 () (tptp.hAPP @t557 @t66)) % 45.25/45.42 (define @t564 () (tptp.hAPP @t558 (tptp.hAPP @t559 @t84))) % 45.25/45.42 (define @t565 () (tptp.hAPP @t557 @t72)) % 45.25/45.42 (define @t566 () (tptp.hAPP @t561 @t72)) % 45.25/45.42 (define @t567 () (tptp.hAPP @t557 @t566)) % 45.25/45.42 (define @t568 () (tptp.c_Set_Oimage @t40 @t10 @t2)) % 45.25/45.42 (define @t569 () (tptp.tc_fun @t40 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t570 () (tptp.hAPP (tptp.c_Set_Oimage @t569 @t27 @t568) (tptp.hAPP (tptp.c_Set_OPow @t40) @t25))) % 45.25/45.42 (define @t571 () (tptp.hAPP @t568 @t25)) % 45.25/45.42 (define @t572 () (@list @t24 @t25 @t2 @t10 @t40)) % 45.25/45.42 (define @t573 () (tptp.c_Orderings_Obot__class_Obot @t569)) % 45.25/45.42 (define @t574 () (= @t25 @t573)) % 45.25/45.42 (define @t575 () (@list @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t576 () (@list @t2 @t10 @t40)) % 45.25/45.42 (define @t577 () (@list @t25 @t2 @t10 @t40)) % 45.25/45.42 (define @t578 () (tptp.hAPP @t568 @t24)) % 45.25/45.42 (define @t579 () (tptp.hAPP @t2 @t153)) % 45.25/45.42 (define @t580 () (tptp.c_Set_Oinsert @t40)) % 45.25/45.42 (define @t581 () (tptp.hAPP @t580 @t153)) % 45.25/45.42 (define @t582 () (tptp.hAPP @t581 @t24)) % 45.25/45.42 (define @t583 () (tptp.hAPP @t551 @t49)) % 45.25/45.42 (define @t584 () (tptp.hAPP @t583 @t99)) % 45.25/45.42 (define @t585 () (tptp.hBOOL (tptp.hAPP @t37 @t560))) % 45.25/45.42 (define @t586 () (tptp.hAPP @t36 @t560)) % 45.25/45.42 (define @t587 () (tptp.hBOOL (tptp.hAPP @t586 @t34))) % 45.25/45.42 (define @t588 () (tptp.hAPP @t101 @t348)) % 45.25/45.42 (define @t589 () (@list @t99 @t49 @t348 @t10)) % 45.25/45.42 (define @t590 () (tptp.hAPP @t435 @t348)) % 45.25/45.42 (define @t591 () (tptp.hBOOL (tptp.hAPP @t590 @t99))) % 45.25/45.42 (define @t592 () (tptp.hBOOL (tptp.hAPP @t590 @t49))) % 45.25/45.42 (define @t593 () (tptp.hBOOL (tptp.hAPP @t474 @t348))) % 45.25/45.42 (define @t594 () (tptp.hBOOL (tptp.hAPP @t470 @t348))) % 45.25/45.42 (define @t595 () (tptp.hBOOL (tptp.hAPP @t451 @t560))) % 45.25/45.42 (define @t596 () (@var "B_AA" $$unsorted)) % 45.25/45.42 (define @t597 () (tptp.c_Orderings_Oord__class_Oless__eq @t569)) % 45.25/45.42 (define @t598 () (tptp.hBOOL (tptp.hAPP @t29 @t571))) % 45.25/45.42 (define @t599 () (@list @t25 @t2 @t40 @t24 @t10)) % 45.25/45.42 (define @t600 () (tptp.c_Set_Oimage @t10 @t40 @t2)) % 45.25/45.42 (define @t601 () (tptp.hAPP @t600 @t24)) % 45.25/45.42 (define @t602 () (tptp.hAPP @t600 @t25)) % 45.25/45.42 (define @t603 () (tptp.hAPP @t597 @t602)) % 45.25/45.42 (define @t604 () (tptp.hBOOL (tptp.hAPP @t603 @t601))) % 45.25/45.42 (define @t605 () (@list @t2 @t40 @t24 @t25 @t10)) % 45.25/45.42 (define @t606 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t569)) % 45.25/45.42 (define @t607 () (tptp.hAPP @t606 @t25)) % 45.25/45.42 (define @t608 () (tptp.hAPP @t607 @t24)) % 45.25/45.42 (define @t609 () (@list @t24 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t610 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t569)) % 45.25/45.42 (define @t611 () (tptp.hAPP @t610 @t25)) % 45.25/45.42 (define @t612 () (tptp.hAPP @t611 @t24)) % 45.25/45.42 (define @t613 () (tptp.c_Groups_Ouminus__class_Ouminus @t569)) % 45.25/45.42 (define @t614 () (tptp.hAPP @t613 @t25)) % 45.25/45.42 (define @t615 () (tptp.c_Orderings_Otop__class_Otop @t569)) % 45.25/45.42 (define @t616 () (tptp.hAPP @t568 @t615)) % 45.25/45.42 (define @t617 () (= @t616 @t143)) % 45.25/45.42 (define @t618 () (@var "B_f" $$unsorted)) % 45.25/45.42 (define @t619 () (@list @t618)) % 45.25/45.42 (define @t620 () (tptp.class_Orderings_Oord @t10)) % 45.25/45.42 (define @t621 () (tptp.hAPP @t2 @t24)) % 45.25/45.42 (define @t622 () (tptp.hAPP @t2 @t25)) % 45.25/45.42 (define @t623 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t40)) % 45.25/45.42 (define @t624 () (tptp.hAPP @t41 (tptp.hAPP (tptp.hAPP @t623 @t622) @t621))) % 45.25/45.42 (define @t625 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t40 @t2)) % 45.25/45.42 (define @t626 () (tptp.class_Lattices_Osemilattice__sup @t40)) % 45.25/45.42 (define @t627 () (tptp.c_Orderings_Oord__class_Omin @t10)) % 45.25/45.42 (define @t628 () (tptp.hAPP @t627 @t171)) % 45.25/45.42 (define @t629 () (tptp.hAPP @t628 @t170)) % 45.25/45.42 (define @t630 () (@var "B_y" $$unsorted)) % 45.25/45.42 (define @t631 () (tptp.hAPP @t2 @t630)) % 45.25/45.42 (define @t632 () (tptp.hAPP @t529 @t5)) % 45.25/45.42 (define @t633 () (@list @t3 @t630)) % 45.25/45.42 (define @t634 () (tptp.c_Orderings_Oord__class_Omin @t35)) % 45.25/45.42 (define @t635 () (tptp.hAPP @t634 @t34)) % 45.25/45.42 (define @t636 () (tptp.hAPP @t634 @t66)) % 45.25/45.42 (define @t637 () (tptp.hAPP @t636 @t72)) % 45.25/45.42 (define @t638 () (tptp.hAPP @t635 @t637)) % 45.25/45.42 (define @t639 () (tptp.hAPP @t635 @t66)) % 45.25/45.42 (define @t640 () (tptp.hAPP @t634 @t87)) % 45.25/45.42 (define @t641 () (tptp.hAPP @t634 @t83)) % 45.25/45.42 (define @t642 () (tptp.hAPP @t641 (tptp.hAPP @t640 @t84))) % 45.25/45.42 (define @t643 () (tptp.hAPP @t641 @t87)) % 45.25/45.42 (define @t644 () (tptp.hAPP @t635 @t72)) % 45.25/45.42 (define @t645 () (tptp.hAPP @t636 @t34)) % 45.25/45.42 (define @t646 () (tptp.hAPP @t2 @t445)) % 45.25/45.42 (define @t647 () (tptp.hAPP @t2 @t402)) % 45.25/45.42 (define @t648 () (tptp.class_Orderings_Olinorder @t40)) % 45.25/45.42 (define @t649 () (and @t648 @t116)) % 45.25/45.42 (define @t650 () (@list @t445 @t402 @t2 @t10 @t40)) % 45.25/45.42 (define @t651 () (tptp.hAPP @t627 @t49)) % 45.25/45.42 (define @t652 () (tptp.hAPP @t651 @t99)) % 45.25/45.42 (define @t653 () (tptp.hBOOL (tptp.hAPP @t37 @t643))) % 45.25/45.42 (define @t654 () (tptp.hAPP @t36 @t643)) % 45.25/45.42 (define @t655 () (tptp.hBOOL (tptp.hAPP @t654 @t34))) % 45.25/45.42 (define @t656 () (tptp.hAPP @t36 @t639)) % 45.25/45.42 (define @t657 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t643) @t34))) % 45.25/45.42 (define @t658 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t40)) % 45.25/45.42 (define @t659 () (tptp.hAPP (tptp.hAPP @t658 @t622) @t621)) % 45.25/45.42 (define @t660 () (tptp.class_Lattices_Osemilattice__inf @t40)) % 45.25/45.42 (define @t661 () (tptp.hAPP (tptp.hAPP @t556 @t639) @t644)) % 45.25/45.42 (define @t662 () (tptp.hAPP @t635 @t566)) % 45.25/45.42 (define @t663 () (tptp.hAPP (tptp.hAPP @t634 @t563) @t565)) % 45.25/45.42 (define @t664 () (tptp.hAPP @t557 @t637)) % 45.25/45.42 (define @t665 () (tptp.class_Groups_Olinordered__ab__group__add @t35)) % 45.25/45.42 (define @t666 () (tptp.c_Orderings_Oorder__class_Omono @t27 @t569 @t2)) % 45.25/45.42 (define @t667 () (tptp.hAPP @t294 @t25)) % 45.25/45.42 (define @t668 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t24)) % 45.25/45.42 (define @t669 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t25)) % 45.25/45.42 (define @t670 () (tptp.hAPP (tptp.hAPP @t551 @t669) @t668)) % 45.25/45.42 (define @t671 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t251)) % 45.25/45.42 (define @t672 () (not @t385)) % 45.25/45.42 (define @t673 () (tptp.c_Finite__Set_Ofinite @t10)) % 45.25/45.42 (define @t674 () (tptp.hBOOL (tptp.hAPP @t673 @t24))) % 45.25/45.42 (define @t675 () (tptp.hBOOL (tptp.hAPP @t673 @t25))) % 45.25/45.42 (define @t676 () (= @t671 @t670)) % 45.25/45.42 (define @t677 () (not @t379)) % 45.25/45.42 (define @t678 () (not @t151)) % 45.25/45.42 (define @t679 () (tptp.hAPP @t583 @t669)) % 45.25/45.42 (define @t680 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t480)) % 45.25/45.42 (define @t681 () (=> @t678 (= @t680 @t679))) % 45.25/45.42 (define @t682 () (tptp.hAPP @t613 @t602)) % 45.25/45.42 (define @t683 () (tptp.hAPP @t600 @t199)) % 45.25/45.42 (define @t684 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t143)) % 45.25/45.42 (define @t685 () (tptp.hAPP (tptp.hAPP @t440 @t160) @t142)) % 45.25/45.42 (define @t686 () (tptp.c_Groups_Ominus__class_Ominus @t27)) % 45.25/45.42 (define @t687 () (@list @t1 @t2 @t40 @t10)) % 45.25/45.42 (define @t688 () (@list @t2 @t40 @t10)) % 45.25/45.42 (define @t689 () (tptp.hAPP @t2 @t380)) % 45.25/45.42 (define @t690 () (tptp.hBOOL (tptp.hAPP @t383 @t25))) % 45.25/45.42 (define @t691 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t25)) % 45.25/45.42 (define @t692 () (tptp.hAPP @t686 @t25)) % 45.25/45.42 (define @t693 () (tptp.hAPP @t692 @t24)) % 45.25/45.42 (define @t694 () (tptp.hAPP @t686 @t693)) % 45.25/45.42 (define @t695 () (tptp.c_Groups_Ominus__class_Ominus @t10)) % 45.25/45.42 (define @t696 () (= @t174 @t170)) % 45.25/45.42 (define @t697 () (tptp.hAPP (tptp.hAPP @t695 @t153) @t171)) % 45.25/45.42 (define @t698 () (= @t697 (tptp.hAPP (tptp.hAPP @t695 @t174) @t170))) % 45.25/45.42 (define @t699 () (tptp.class_Groups_Oab__group__add @t10)) % 45.25/45.42 (define @t700 () (tptp.c_Groups_Ominus__class_Ominus @t569)) % 45.25/45.42 (define @t701 () (tptp.hAPP @t600 @t693)) % 45.25/45.42 (define @t702 () (= @t701 (tptp.hAPP (tptp.hAPP @t700 @t602) @t601))) % 45.25/45.42 (define @t703 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t62)) % 45.25/45.42 (define @t704 () (@list @t24 @t25 @t62 @t2 @t40 @t10)) % 45.25/45.42 (define @t705 () (tptp.hAPP @t692 @t532)) % 45.25/45.42 (define @t706 () (tptp.hAPP @t651 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t705))) % 45.25/45.42 (define @t707 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t480)) % 45.25/45.42 (define @t708 () (= @t705 @t142)) % 45.25/45.42 (define @t709 () (not @t708)) % 45.25/45.42 (define @t710 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t24)) % 45.25/45.42 (define @t711 () (@list @t25 @t24 @t2 @t40 @t10)) % 45.25/45.42 (define @t712 () (@list @t99 @t49 @t2 @t40 @t10)) % 45.25/45.42 (define @t713 () (tptp.c_Groups_Ominus__class_Ominus @t35)) % 45.25/45.42 (define @t714 () (tptp.hAPP @t713 @t87)) % 45.25/45.42 (define @t715 () (tptp.hAPP @t714 @t83)) % 45.25/45.42 (define @t716 () (tptp.hAPP @t713 @t83)) % 45.25/45.42 (define @t717 () (tptp.hAPP @t716 @t87)) % 45.25/45.42 (define @t718 () (tptp.class_Groups_Oab__group__add @t35)) % 45.25/45.42 (define @t719 () (tptp.hAPP (tptp.hAPP @t713 @t66) @t72)) % 45.25/45.42 (define @t720 () (tptp.hAPP @t713 @t34)) % 45.25/45.42 (define @t721 () (tptp.hAPP @t720 @t72)) % 45.25/45.42 (define @t722 () (tptp.hAPP @t28 @t693)) % 45.25/45.42 (define @t723 () (tptp.hAPP @t686 @t62)) % 45.25/45.42 (define @t724 () (tptp.hAPP @t686 @t24)) % 45.25/45.42 (define @t725 () (tptp.hAPP @t724 @t25)) % 45.25/45.42 (define @t726 () (tptp.hAPP @t250 @t725)) % 45.25/45.42 (define @t727 () (tptp.hAPP @t724 @t62)) % 45.25/45.42 (define @t728 () (tptp.hAPP @t692 @t62)) % 45.25/45.42 (define @t729 () (tptp.hAPP @t686 @t272)) % 45.25/45.42 (define @t730 () (tptp.hAPP @t729 @t273)) % 45.25/45.42 (define @t731 () (tptp.hAPP @t246 @t693)) % 45.25/45.42 (define @t732 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t25)) % 45.25/45.42 (define @t733 () (tptp.hAPP @t651 @t732)) % 45.25/45.42 (define @t734 () (=> @t678 (= @t707 @t733))) % 45.25/45.42 (define @t735 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t24)) % 45.25/45.42 (define @t736 () (tptp.hAPP (tptp.hAPP @t627 @t732) @t735)) % 45.25/45.42 (define @t737 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t251)) % 45.25/45.42 (define @t738 () (= @t737 @t736)) % 45.25/45.42 (define @t739 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t251)) % 45.25/45.42 (define @t740 () (= (= @t602 @t601) @t26)) % 45.25/45.42 (define @t741 () (tptp.hAPP @t720 @t66)) % 45.25/45.42 (define @t742 () (tptp.hAPP @t692 @t504)) % 45.25/45.42 (define @t743 () (tptp.hAPP @t692 @t494)) % 45.25/45.42 (define @t744 () (tptp.hAPP @t493 @t743)) % 45.25/45.42 (define @t745 () (tptp.hAPP @t583 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t705))) % 45.25/45.42 (define @t746 () (tptp.hAPP @t700 @t25)) % 45.25/45.42 (define @t747 () (tptp.hAPP @t746 @t24)) % 45.25/45.42 (define @t748 () (tptp.hAPP @t239 @t693)) % 45.25/45.42 (define @t749 () (@var "V_i_2" $$unsorted)) % 45.25/45.42 (define @t750 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t749)) % 45.25/45.42 (define @t751 () (tptp.hAPP @t101 @t749)) % 45.25/45.42 (define @t752 () (= (tptp.hAPP @t600 @t256) (tptp.hAPP (tptp.hAPP @t610 @t602) @t601))) % 45.25/45.42 (define @t753 () (@var "V_M_2" $$unsorted)) % 45.25/45.42 (define @t754 () (tptp.hBOOL (tptp.hAPP @t673 @t3))) % 45.25/45.42 (define @t755 () (@list @t753 @t10)) % 45.25/45.42 (define @t756 () (tptp.hBOOL (tptp.hAPP @t673 @t693))) % 45.25/45.42 (define @t757 () (@var "V_F_2" $$unsorted)) % 45.25/45.42 (define @t758 () (tptp.hBOOL (tptp.hAPP @t673 @t9))) % 45.25/45.42 (define @t759 () (tptp.hBOOL (tptp.hAPP @t673 @t757))) % 45.25/45.42 (define @t760 () (@list @t9 @t757 @t10)) % 45.25/45.42 (define @t761 () (@var "V_h_2" $$unsorted)) % 45.25/45.42 (define @t762 () (tptp.c_Set_Oimage @t10 @t40 @t761)) % 45.25/45.42 (define @t763 () (tptp.c_Finite__Set_Ofinite @t40)) % 45.25/45.42 (define @t764 () (@list @t761 @t40 @t757 @t10)) % 45.25/45.42 (define @t765 () (tptp.hBOOL (tptp.hAPP @t673 @t501))) % 45.25/45.42 (define @t766 () (@list @t153 @t25 @t10)) % 45.25/45.42 (define @t767 () (tptp.c_Set_Oimage @t10 @t10 @t2)) % 45.25/45.42 (define @t768 () (= (tptp.hAPP @t767 @t143) @t143)) % 45.25/45.42 (define @t769 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t143)) % 45.25/45.42 (define @t770 () (tptp.hBOOL (tptp.hAPP @t673 @t143))) % 45.25/45.42 (define @t771 () (@list @t2 @t10)) % 45.25/45.42 (define @t772 () (tptp.hAPP @t767 @t25)) % 45.25/45.42 (define @t773 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t25)) % 45.25/45.42 (define @t774 () (@list @t2 @t25 @t10)) % 45.25/45.42 (define @t775 () (tptp.hAPP @t24 @t3)) % 45.25/45.42 (define @t776 () (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t763 @t775))))) % 45.25/45.42 (define @t777 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t569)) % 45.25/45.42 (define @t778 () (tptp.hAPP @t777 @t25)) % 45.25/45.42 (define @t779 () (tptp.hAPP @t778 @t24)) % 45.25/45.42 (define @t780 () (tptp.hBOOL (tptp.hAPP @t763 @t779))) % 45.25/45.42 (define @t781 () (@list @t24 @t40 @t25 @t10)) % 45.25/45.42 (define @t782 () (tptp.class_Finite__Set_Ofinite @t10)) % 45.25/45.42 (define @t783 () (tptp.tc_prod @t10 @t40)) % 45.25/45.42 (define @t784 () (tptp.tc_fun @t783 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t785 () (tptp.c_Orderings_Otop__class_Otop @t784)) % 45.25/45.42 (define @t786 () (tptp.c_Finite__Set_Ofinite @t783)) % 45.25/45.42 (define @t787 () (tptp.hBOOL (tptp.hAPP @t763 @t615))) % 45.25/45.42 (define @t788 () (@list @t40 @t10)) % 45.25/45.42 (define @t789 () (tptp.tc_sum @t10 @t40)) % 45.25/45.42 (define @t790 () (tptp.tc_fun @t789 tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t791 () (tptp.c_Orderings_Otop__class_Otop @t790)) % 45.25/45.42 (define @t792 () (tptp.c_Finite__Set_Ofinite @t789)) % 45.25/45.42 (define @t793 () (tptp.tc_Option_Ooption @t10)) % 45.25/45.42 (define @t794 () (tptp.hBOOL (tptp.hAPP @t673 (tptp.hAPP (tptp.hAPP @t239 @t757) @t9)))) % 45.25/45.42 (define @t795 () (tptp.c_Finite__Set_Ofinite @t27)) % 45.25/45.42 (define @t796 () (tptp.hBOOL (tptp.hAPP @t795 @t25))) % 45.25/45.42 (define @t797 () (tptp.hBOOL (tptp.hAPP @t673 @t200))) % 45.25/45.42 (define @t798 () (tptp.hBOOL (tptp.hAPP @t763 @t24))) % 45.25/45.42 (define @t799 () (tptp.hAPP @t597 @t24)) % 45.25/45.42 (define @t800 () (tptp.hBOOL (tptp.hAPP @t799 @t602))) % 45.25/45.42 (define @t801 () (tptp.hBOOL (tptp.hAPP @t763 @t25))) % 45.25/45.42 (define @t802 () (tptp.c_Fun_Oinj__on @t40 @t10 @t2 @t25)) % 45.25/45.42 (define @t803 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t44 tptp.tc_HOL_Obool))) % 45.25/45.42 (define @t804 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t44) @t803))) % 45.25/45.42 (define @t805 () (@var "V_A_H_2" $$unsorted)) % 45.25/45.42 (define @t806 () (@var "B_g" $$unsorted)) % 45.25/45.42 (define @t807 () (tptp.hAPP @t597 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t618) @t25))) % 45.25/45.42 (define @t808 () (tptp.c_Fun_Oinj__on @t10 @t40 @t618 @t25)) % 45.25/45.42 (define @t809 () (tptp.hAPP @t757 @t24)) % 45.25/45.42 (define @t810 () (tptp.hAPP @t757 @t25)) % 45.25/45.42 (define @t811 () (tptp.hAPP (tptp.hAPP @t2 @t810) @t809)) % 45.25/45.42 (define @t812 () (tptp.hAPP @t757 @t256)) % 45.25/45.42 (define @t813 () (tptp.hAPP @t757 @t251)) % 45.25/45.42 (define @t814 () (tptp.c_Finite__Set_Ofolding__one @t10 @t2 @t757)) % 45.25/45.42 (define @t815 () (@list @t24 @t25 @t757 @t2 @t10)) % 45.25/45.42 (define @t816 () (= @t813 @t811)) % 45.25/45.42 (define @t817 () (tptp.hAPP @t757 @t608)) % 45.25/45.42 (define @t818 () (= @t817 @t811)) % 45.25/45.42 (define @t819 () (tptp.c_Finite__Set_Ofolding__image__simple @t10 @t40 @t2 @t348 @t1 @t757)) % 45.25/45.42 (define @t820 () (@list @t24 @t25 @t757 @t1 @t348 @t2 @t40 @t10)) % 45.25/45.42 (define @t821 () (tptp.hAPP @t757 @t705)) % 45.25/45.42 (define @t822 () (tptp.hAPP @t51 @t821)) % 45.25/45.42 (define @t823 () (tptp.hAPP @t757 @t480)) % 45.25/45.42 (define @t824 () (@list @t49 @t25 @t757 @t2 @t10)) % 45.25/45.42 (define @t825 () (tptp.hAPP @t580 @t49)) % 45.25/45.42 (define @t826 () (tptp.hAPP @t2 @t50)) % 45.25/45.42 (define @t827 () (tptp.hAPP @t826 (tptp.hAPP @t757 (tptp.hAPP @t746 (tptp.hAPP @t825 @t573))))) % 45.25/45.42 (define @t828 () (tptp.hAPP @t757 (tptp.hAPP @t825 @t25))) % 45.25/45.42 (define @t829 () (@list @t49 @t25 @t757 @t1 @t348 @t2 @t40 @t10)) % 45.25/45.42 (define @t830 () (@var "V_N_2" $$unsorted)) % 45.25/45.42 (define @t831 () (tptp.c_Set_Oimage @t10 @t10 @t761)) % 45.25/45.42 (define @t832 () (tptp.hAPP @t831 @t830)) % 45.25/45.42 (define @t833 () (not (= @t830 @t142))) % 45.25/45.42 (define @t834 () (tptp.hBOOL (tptp.hAPP @t673 @t830))) % 45.25/45.42 (define @t835 () (tptp.hAPP @t761 @t630)) % 45.25/45.42 (define @t836 () (tptp.hAPP @t761 @t3)) % 45.25/45.42 (define @t837 () (tptp.hAPP (tptp.hAPP @t551 @t3) @t630)) % 45.25/45.42 (define @t838 () (forall @t633 (= (tptp.hAPP @t761 @t837) (tptp.hAPP (tptp.hAPP @t551 @t836) @t835)))) % 45.25/45.42 (define @t839 () (@list @t830 @t761 @t10)) % 45.25/45.42 (define @t840 () (tptp.hAPP (tptp.hAPP @t627 @t3) @t630)) % 45.25/45.42 (define @t841 () (forall @t633 (= (tptp.hAPP @t761 @t840) (tptp.hAPP (tptp.hAPP @t627 @t836) @t835)))) % 45.25/45.42 (define @t842 () (tptp.hAPP @t203 @t49)) % 45.25/45.42 (define @t843 () (tptp.hBOOL (tptp.hAPP @t842 @t25))) % 45.25/45.42 (define @t844 () (tptp.hAPP @t203 @t174)) % 45.25/45.42 (define @t845 () (tptp.hBOOL (tptp.hAPP @t844 @t24))) % 45.25/45.42 (define @t846 () (tptp.hBOOL (tptp.hAPP @t844 @t25))) % 45.25/45.42 (define @t847 () (not @t846)) % 45.25/45.42 (define @t848 () (=> @t847 @t845)) % 45.25/45.42 (define @t849 () (not @t845)) % 45.25/45.42 (define @t850 () (=> @t846 @t849)) % 45.25/45.42 (define @t851 () (tptp.hAPP @t203 @t153)) % 45.25/45.42 (define @t852 () (tptp.hBOOL (tptp.hAPP @t851 @t25))) % 45.25/45.42 (define @t853 () (not @t429)) % 45.25/45.42 (define @t854 () (tptp.hAPP @t491 @t25)) % 45.25/45.42 (define @t855 () (tptp.hBOOL (tptp.hAPP @t851 @t854))) % 45.25/45.42 (define @t856 () (@list @t25 @t171 @t153 @t10)) % 45.25/45.42 (define @t857 () (tptp.hBOOL (tptp.hAPP @t851 @t503))) % 45.25/45.42 (define @t858 () (tptp.hBOOL (tptp.hAPP @t851 @t24))) % 45.25/45.42 (define @t859 () (not @t858)) % 45.25/45.42 (define @t860 () (@list @t171 @t24 @t153 @t10)) % 45.25/45.42 (define @t861 () (=> @t846 @t845)) % 45.25/45.42 (define @t862 () (@list @t174 @t24 @t25 @t10)) % 45.25/45.42 (define @t863 () (tptp.hAPP @t203 @t171)) % 45.25/45.42 (define @t864 () (tptp.c_member @t40)) % 45.25/45.42 (define @t865 () (tptp.hAPP @t864 @t49)) % 45.25/45.42 (define @t866 () (tptp.hBOOL (tptp.hAPP @t865 @t25))) % 45.25/45.42 (define @t867 () (= @t171 @t51)) % 45.25/45.42 (define @t868 () (tptp.hBOOL (tptp.hAPP @t844 @t251))) % 45.25/45.42 (define @t869 () (@list @t24 @t25 @t174 @t10)) % 45.25/45.42 (define @t870 () (@list @t25 @t24 @t174 @t10)) % 45.25/45.42 (define @t871 () (tptp.hBOOL (tptp.hAPP @t844 @t256))) % 45.25/45.42 (define @t872 () (tptp.hBOOL (tptp.hAPP @t844 @t693))) % 45.25/45.42 (define @t873 () (tptp.hBOOL (tptp.hAPP @t844 @t199))) % 45.25/45.42 (define @t874 () (@list @t25 @t174 @t10)) % 45.25/45.42 (define @t875 () (tptp.hAPP @t203 @t25)) % 45.25/45.42 (define @t876 () (tptp.hBOOL (tptp.hAPP @t875 @t389))) % 45.25/45.42 (define @t877 () (@var "V_X_2" $$unsorted)) % 45.25/45.42 (define @t878 () (tptp.hBOOL (tptp.hAPP @t875 @t877))) % 45.25/45.42 (define @t879 () (tptp.hAPP @t387 @t877)) % 45.25/45.42 (define @t880 () (tptp.hBOOL (tptp.hAPP @t879 @t62))) % 45.25/45.42 (define @t881 () (tptp.hBOOL (tptp.hAPP @t875 (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t62)))) % 45.25/45.42 (define @t882 () (tptp.hAPP @t387 @t25)) % 45.25/45.42 (define @t883 () (tptp.hBOOL (tptp.hAPP @t882 @t157))) % 45.25/45.42 (define @t884 () (tptp.hAPP tptp.c_fequal @t99)) % 45.25/45.42 (define @t885 () (tptp.hBOOL (tptp.hAPP @t842 @t24))) % 45.25/45.42 (define @t886 () (tptp.hAPP @t203 @t99)) % 45.25/45.42 (define @t887 () (tptp.hBOOL (tptp.hAPP @t886 @t25))) % 45.25/45.42 (define @t888 () (tptp.hBOOL (tptp.hAPP @t863 @t25))) % 45.25/45.42 (define @t889 () (@list @t25 @t10 @t171 @t153)) % 45.25/45.42 (define @t890 () (tptp.hAPP @t864 @t3)) % 45.25/45.42 (define @t891 () (tptp.hBOOL (tptp.hAPP @t890 @t25))) % 45.25/45.42 (define @t892 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t27)) % 45.25/45.42 (define @t893 () (tptp.hAPP @t892 @t25)) % 45.25/45.42 (define @t894 () (tptp.hAPP @t893 @t24)) % 45.25/45.42 (define @t895 () (not @t205)) % 45.25/45.42 (define @t896 () (exists @t7 @t205)) % 45.25/45.42 (define @t897 () (not @t852)) % 45.25/45.42 (define @t898 () (or @t429 @t852)) % 45.25/45.42 (define @t899 () (tptp.hAPP @t479 @t24)) % 45.25/45.42 (define @t900 () (not @t885)) % 45.25/45.42 (define @t901 () (not @t843)) % 45.25/45.42 (define @t902 () (@list @t24 @t25 @t49 @t10)) % 45.25/45.42 (define @t903 () (tptp.hAPP @t203 @t348)) % 45.25/45.42 (define @t904 () (@list @t2 @t40 @t25 @t49 @t10)) % 45.25/45.42 (define @t905 () (tptp.hAPP @t864 @t171)) % 45.25/45.42 (define @t906 () (not @t149)) % 45.25/45.42 (define @t907 () (@list @t99 @t49 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t908 () (tptp.hAPP @t826 @t810)) % 45.25/45.42 (define @t909 () (= @t828 @t908)) % 45.25/45.42 (define @t910 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t10 @t40 @t2 @t1 @t25) @t153)) % 45.25/45.42 (define @t911 () (=> @t897 (= @t910 @t579))) % 45.25/45.42 (define @t912 () (@list @t1 @t2 @t40 @t25 @t153 @t10)) % 45.25/45.42 (define @t913 () (tptp.hAPP @t1 @t153)) % 45.25/45.42 (define @t914 () (=> @t852 (= @t910 @t913))) % 45.25/45.42 (define @t915 () (tptp.hAPP @t51 @t810)) % 45.25/45.42 (define @t916 () (=> @t678 (= @t823 @t915))) % 45.25/45.42 (define @t917 () (= @t171 @t153)) % 45.25/45.42 (define @t918 () (tptp.hBOOL (tptp.hAPP @t863 @t494))) % 45.25/45.42 (define @t919 () (tptp.hBOOL (tptp.hAPP @t31 @t899))) % 45.25/45.42 (define @t920 () (tptp.hAPP @t255 @t504)) % 45.25/45.42 (define @t921 () (=> @t897 (= @t920 @t256))) % 45.25/45.42 (define @t922 () (=> @t852 (= @t920 @t507))) % 45.25/45.42 (define @t923 () (tptp.hAPP (tptp.hAPP @t246 @t504) @t62)) % 45.25/45.42 (define @t924 () (tptp.hBOOL (tptp.hAPP @t851 @t62))) % 45.25/45.42 (define @t925 () (=> (not @t924) (= @t923 @t273))) % 45.25/45.42 (define @t926 () (=> @t924 (= @t923 (tptp.hAPP @t493 @t273)))) % 45.25/45.42 (define @t927 () (@list @t24 @t62 @t153 @t10)) % 45.25/45.42 (define @t928 () (tptp.hAPP @t203 @t51)) % 45.25/45.42 (define @t929 () (tptp.hAPP @t686 @t480)) % 45.25/45.42 (define @t930 () (tptp.hAPP @t929 @t24)) % 45.25/45.42 (define @t931 () (=> @t885 (= @t930 @t693))) % 45.25/45.42 (define @t932 () (@list @t25 @t24 @t49 @t10)) % 45.25/45.42 (define @t933 () (tptp.hAPP @t203 @t749)) % 45.25/45.42 (define @t934 () (@list @t160 @t749 @t10)) % 45.25/45.42 (define @t935 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t24) @t25))) % 45.25/45.42 (define @t936 () (tptp.hBOOL (tptp.hAPP @t168 @t24))) % 45.25/45.42 (define @t937 () (= @t630 @t3)) % 45.25/45.42 (define @t938 () (@list @t630)) % 45.25/45.42 (define @t939 () (tptp.hAPP @t600 @t143)) % 45.25/45.42 (define @t940 () (tptp.hAPP @t864 @t579)) % 45.25/45.42 (define @t941 () (@list @t25 @t153 @t2 @t40 @t10)) % 45.25/45.42 (define @t942 () (@list @t49 @t757 @t2 @t10)) % 45.25/45.42 (define @t943 () (=> @t901 @t32)) % 45.25/45.42 (define @t944 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t705) @t24))) % 45.25/45.42 (define @t945 () (@list @t24 @t49 @t25 @t10)) % 45.25/45.42 (define @t946 () (tptp.hAPP @t627 @t153)) % 45.25/45.42 (define @t947 () (tptp.hAPP @t440 @t3)) % 45.25/45.42 (define @t948 () (tptp.hAPP @t947 (tptp.hAPP (tptp.hAPP @t440 @t630) @t142))) % 45.25/45.42 (define @t949 () (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t837) @t948)))) % 45.25/45.42 (define @t950 () (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t840) @t948)))) % 45.25/45.42 (define @t951 () (@var "V_less__eq_2" $$unsorted)) % 45.25/45.42 (define @t952 () (tptp.hAPP @t951 @t749)) % 45.25/45.42 (define @t953 () (@list @t160 @t951 @t749 @t10)) % 45.25/45.42 (define @t954 () (@var "V_less_2" $$unsorted)) % 45.25/45.42 (define @t955 () (tptp.hAPP @t954 @t749)) % 45.25/45.42 (define @t956 () (@list @t160 @t954 @t749 @t10)) % 45.25/45.42 (define @t957 () (tptp.hBOOL (tptp.hAPP @t952 @t236))) % 45.25/45.42 (define @t958 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t951 @t159) @t749))) % 45.25/45.42 (define @t959 () (tptp.hBOOL (tptp.hAPP @t955 @t236))) % 45.25/45.42 (define @t960 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t159) @t749))) % 45.25/45.42 (define @t961 () (@list @t236 @t159 @t954 @t951 @t749 @t10)) % 45.25/45.42 (define @t962 () (@var "B_M" $$unsorted)) % 45.25/45.42 (define @t963 () (tptp.hAPP @t342 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t705))) % 45.25/45.42 (define @t964 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t25)) % 45.25/45.42 (define @t965 () (tptp.hAPP @t345 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t705))) % 45.25/45.42 (define @t966 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t25)) % 45.25/45.42 (define @t967 () (tptp.hAPP @t583 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t705))) % 45.25/45.42 (define @t968 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t25)) % 45.25/45.42 (define @t969 () (= @t968 @t49)) % 45.25/45.42 (define @t970 () (tptp.hAPP @t651 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t705))) % 45.25/45.42 (define @t971 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t25)) % 45.25/45.42 (define @t972 () (= @t971 @t49)) % 45.25/45.42 (define @t973 () (tptp.hAPP (tptp.hAPP @t539 @t49) @t757)) % 45.25/45.42 (define @t974 () (tptp.hAPP @t387 @t49)) % 45.25/45.42 (define @t975 () (tptp.hAPP @t5 @t630)) % 45.25/45.42 (define @t976 () (@list @t25 @t757 @t2 @t10)) % 45.25/45.42 (define @t977 () (tptp.hAPP @t555 @t525)) % 45.25/45.42 (define @t978 () (not (= @t525 @t142))) % 45.25/45.42 (define @t979 () (tptp.hBOOL (tptp.hAPP @t673 @t525))) % 45.25/45.42 (define @t980 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 45.25/45.42 (define @t981 () (@list @t525 @t10)) % 45.25/45.42 (define @t982 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t971) @t25))) % 45.25/45.42 (define @t983 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t968) @t25))) % 45.25/45.42 (define @t984 () (tptp.hAPP @t345 @t966)) % 45.25/45.42 (define @t985 () (tptp.hAPP @t342 @t964)) % 45.25/45.42 (define @t986 () (tptp.hAPP @t651 @t971)) % 45.25/45.42 (define @t987 () (tptp.hAPP @t583 @t968)) % 45.25/45.42 (define @t988 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t830)) % 45.25/45.42 (define @t989 () (not (= @t753 @t142))) % 45.25/45.42 (define @t990 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t753) @t830))) % 45.25/45.42 (define @t991 () (@list @t830 @t753 @t10)) % 45.25/45.42 (define @t992 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t830)) % 45.25/45.42 (define @t993 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t480)) % 45.25/45.42 (define @t994 () (=> @t678 (= @t993 @t984))) % 45.25/45.42 (define @t995 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t480)) % 45.25/45.42 (define @t996 () (=> @t678 (= @t995 @t985))) % 45.25/45.42 (define @t997 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t480)) % 45.25/45.42 (define @t998 () (=> @t678 (= @t997 @t986))) % 45.25/45.42 (define @t999 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t24)) % 45.25/45.42 (define @t1000 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t480)) % 45.25/45.42 (define @t1001 () (=> @t678 (= @t1000 @t987))) % 45.25/45.42 (define @t1002 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t24)) % 45.25/45.42 (define @t1003 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t24)) % 45.25/45.42 (define @t1004 () (tptp.hAPP (tptp.hAPP @t291 @t966) @t999)) % 45.25/45.42 (define @t1005 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t251)) % 45.25/45.42 (define @t1006 () (= @t1005 @t1004)) % 45.25/45.42 (define @t1007 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t24)) % 45.25/45.42 (define @t1008 () (tptp.hAPP (tptp.hAPP @t294 @t964) @t1002)) % 45.25/45.42 (define @t1009 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t251)) % 45.25/45.42 (define @t1010 () (= @t1009 @t1008)) % 45.25/45.42 (define @t1011 () (tptp.hAPP (tptp.hAPP @t627 @t971) @t1003)) % 45.25/45.42 (define @t1012 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t251)) % 45.25/45.42 (define @t1013 () (= @t1012 @t1011)) % 45.25/45.42 (define @t1014 () (tptp.hAPP (tptp.hAPP @t551 @t968) @t1007)) % 45.25/45.42 (define @t1015 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t251)) % 45.25/45.42 (define @t1016 () (= @t1015 @t1014)) % 45.25/45.42 (define @t1017 () (tptp.hAPP (tptp.hAPP @t294 @t3) @t630)) % 45.25/45.42 (define @t1018 () (tptp.hAPP (tptp.hAPP @t291 @t3) @t630)) % 45.25/45.42 (define @t1019 () (tptp.c_Fun_Ofun__upd @t10 @t40 @t2 @t49 @t99)) % 45.25/45.42 (define @t1020 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t1019) @t25)) % 45.25/45.42 (define @t1021 () (tptp.c_Fun_Othe__inv__into @t10 @t40 @t25 @t2)) % 45.25/45.42 (define @t1022 () (tptp.hAPP @t1021 @t49)) % 45.25/45.42 (define @t1023 () (tptp.hBOOL (tptp.hAPP @t865 @t602))) % 45.25/45.42 (define @t1024 () (@list @t49 @t2 @t40 @t10)) % 45.25/45.42 (define @t1025 () (tptp.c_Fun_Ofun__upd @t40 @t10 @t2 @t49 @t99)) % 45.25/45.42 (define @t1026 () (= @t51 @t99)) % 45.25/45.42 (define @t1027 () (tptp.hAPP @t2 @t348)) % 45.25/45.42 (define @t1028 () (tptp.hAPP @t1019 @t348)) % 45.25/45.42 (define @t1029 () (= @t348 @t49)) % 45.25/45.42 (define @t1030 () (=> (not @t1029) (= @t1028 @t1027))) % 45.25/45.42 (define @t1031 () (@list @t99 @t2 @t40 @t10 @t49 @t348)) % 45.25/45.42 (define @t1032 () (@list @t348 @t99 @t49 @t2 @t40 @t10)) % 45.25/45.42 (define @t1033 () (tptp.hAPP @t1021 @t99)) % 45.25/45.42 (define @t1034 () (@list @t49 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t1035 () (tptp.hAPP @t864 @t99)) % 45.25/45.42 (define @t1036 () (tptp.hBOOL (tptp.hAPP @t1035 @t602))) % 45.25/45.42 (define @t1037 () (tptp.hBOOL (tptp.hAPP @t58 @t142))) % 45.25/45.42 (define @t1038 () (@var "B_a" $$unsorted)) % 45.25/45.42 (define @t1039 () (tptp.hAPP @t440 @t1038)) % 45.25/45.42 (define @t1040 () (@var "B_A" $$unsorted)) % 45.25/45.42 (define @t1041 () (tptp.hAPP @t203 @t1038)) % 45.25/45.42 (define @t1042 () (tptp.hBOOL (tptp.hAPP @t1041 @t1040))) % 45.25/45.42 (define @t1043 () (@list @t1038 @t1040)) % 45.25/45.42 (define @t1044 () (tptp.c_Finite__Set_Ofolding__one__idem @t10 @t2 @t757)) % 45.25/45.42 (define @t1045 () (tptp.hBOOL (tptp.hAPP @t58 @t757))) % 45.25/45.42 (define @t1046 () (@var "B_F" $$unsorted)) % 45.25/45.42 (define @t1047 () (tptp.hBOOL (tptp.hAPP @t58 @t1046))) % 45.25/45.42 (define @t1048 () (tptp.hBOOL (tptp.hAPP @t1041 @t25))) % 45.25/45.42 (define @t1049 () (tptp.hBOOL (tptp.hAPP @t673 @t1046))) % 45.25/45.42 (define @t1050 () (= (tptp.hAPP (tptp.hAPP @t2 @t809) @t810) @t810)) % 45.25/45.42 (define @t1051 () (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t525)) % 45.25/45.42 (define @t1052 () (@list @t1040)) % 45.25/45.42 (define @t1053 () (= (tptp.hAPP @t51 @t49) @t49)) % 45.25/45.42 (define @t1054 () (@var "B_X" $$unsorted)) % 45.25/45.42 (define @t1055 () (tptp.hAPP @t387 @t1054)) % 45.25/45.42 (define @t1056 () (@list @t1054)) % 45.25/45.42 (define @t1057 () (tptp.c_Finite__Set_Ofold1 @t10 @t627)) % 45.25/45.42 (define @t1058 () (tptp.hAPP @t1057 @t25)) % 45.25/45.42 (define @t1059 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t40)) % 45.25/45.42 (define @t1060 () (tptp.hAPP @t1059 @t2)) % 45.25/45.42 (define @t1061 () (tptp.hAPP @t1060 @t25)) % 45.25/45.42 (define @t1062 () (tptp.hAPP @t1060 @t743)) % 45.25/45.42 (define @t1063 () (tptp.c_Groups_Ominus__class_Ominus @t40)) % 45.25/45.42 (define @t1064 () (tptp.hAPP @t1063 @t1061)) % 45.25/45.42 (define @t1065 () (=> @t852 (= @t1062 (tptp.hAPP @t1064 @t579)))) % 45.25/45.42 (define @t1066 () (tptp.class_Groups_Oab__group__add @t40)) % 45.25/45.42 (define @t1067 () (@list @t2 @t153 @t25 @t10 @t40)) % 45.25/45.42 (define @t1068 () (tptp.hBOOL (tptp.hAPP @t875 @t1054))) % 45.25/45.42 (define @t1069 () (tptp.hBOOL (tptp.hAPP @t1055 @t62))) % 45.25/45.42 (define @t1070 () (tptp.hAPP @t203 @t630)) % 45.25/45.42 (define @t1071 () (tptp.hBOOL (tptp.hAPP @t1070 @t25))) % 45.25/45.42 (define @t1072 () (@var "V_p_2" $$unsorted)) % 45.25/45.42 (define @t1073 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t10)) % 45.25/45.42 (define @t1074 () (tptp.hAPP @t1073 @t2)) % 45.25/45.42 (define @t1075 () (tptp.hAPP @t1074 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t445) @t1072))) % 45.25/45.42 (define @t1076 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t402)) % 45.25/45.42 (define @t1077 () (tptp.hAPP @t1076 @t445)) % 45.25/45.42 (define @t1078 () (tptp.hAPP @t1074 @t1077)) % 45.25/45.42 (define @t1079 () (tptp.hAPP @t1074 (tptp.hAPP @t1076 @t1072))) % 45.25/45.42 (define @t1080 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1081 () (tptp.hAPP @t1080 @t445)) % 45.25/45.42 (define @t1082 () (tptp.hBOOL (tptp.hAPP @t1081 @t1072))) % 45.25/45.42 (define @t1083 () (tptp.hAPP @t1080 @t402)) % 45.25/45.42 (define @t1084 () (tptp.hBOOL (tptp.hAPP @t1083 @t445))) % 45.25/45.42 (define @t1085 () (@list @t2 @t1072 @t445 @t402 @t10)) % 45.25/45.42 (define @t1086 () (tptp.c_Finite__Set_Ofold1 @t10 @t2)) % 45.25/45.42 (define @t1087 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1088 () (tptp.hAPP @t1087 @t2)) % 45.25/45.42 (define @t1089 () (tptp.hAPP @t1088 @t24)) % 45.25/45.42 (define @t1090 () (tptp.hAPP @t1088 @t25)) % 45.25/45.42 (define @t1091 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1092 () (tptp.hAPP @t1091 @t1090)) % 45.25/45.42 (define @t1093 () (tptp.hAPP @t1086 @t25)) % 45.25/45.42 (define @t1094 () (=> @t675 (= @t810 @t1093))) % 45.25/45.42 (define @t1095 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t294) @t25)) % 45.25/45.42 (define @t1096 () (tptp.hAPP @t1088 @t743)) % 45.25/45.42 (define @t1097 () (tptp.hAPP @t1060 @t24)) % 45.25/45.42 (define @t1098 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t551) @t25)) % 45.25/45.42 (define @t1099 () (tptp.hBOOL (tptp.hAPP @t102 @t3))) % 45.25/45.42 (define @t1100 () (forall @t7 (=> @t205 @t1099))) % 45.25/45.42 (define @t1101 () (tptp.hAPP @t101 @t1058)) % 45.25/45.42 (define @t1102 () (tptp.hAPP @t1059 @t1)) % 45.25/45.42 (define @t1103 () (tptp.hAPP @t1102 @t25)) % 45.25/45.42 (define @t1104 () (tptp.class_Groups_Ocomm__monoid__add @t40)) % 45.25/45.42 (define @t1105 () (@list @t1 @t2 @t25 @t10 @t40)) % 45.25/45.42 (define @t1106 () (tptp.c_Groups_Oplus__class_Oplus @t40)) % 45.25/45.42 (define @t1107 () (tptp.hAPP @t1106 @t50)) % 45.25/45.42 (define @t1108 () (tptp.hAPP @t1107 (tptp.hAPP @t1102 @t705))) % 45.25/45.42 (define @t1109 () (@list @t1 @t49 @t25 @t10 @t40)) % 45.25/45.42 (define @t1110 () (tptp.hAPP @t1106 @t579)) % 45.25/45.42 (define @t1111 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 45.25/45.42 (define @t1112 () (tptp.c_Finite__Set_Ofold1 @t10 @t1111)) % 45.25/45.42 (define @t1113 () (tptp.hAPP @t1112 @t25)) % 45.25/45.42 (define @t1114 () (= (tptp.hAPP @t1112 @t251) (tptp.hAPP (tptp.hAPP @t1111 @t1113) (tptp.hAPP @t1112 @t24)))) % 45.25/45.42 (define @t1115 () (tptp.class_Groups_Oab__semigroup__mult @t10)) % 45.25/45.42 (define @t1116 () (tptp.hAPP @t1111 @t49)) % 45.25/45.42 (define @t1117 () (= (tptp.hAPP @t1112 @t480) (tptp.hAPP @t1116 @t1113))) % 45.25/45.42 (define @t1118 () (@var "T_d" $$unsorted)) % 45.25/45.42 (define @t1119 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t1118)) % 45.25/45.42 (define @t1120 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t40 @t1118)) % 45.25/45.42 (define @t1121 () (tptp.hAPP @t1120 @t761)) % 45.25/45.42 (define @t1122 () (@list @t1038)) % 45.25/45.42 (define @t1123 () (= @t24 @t602)) % 45.25/45.42 (define @t1124 () (tptp.class_Groups_Ocomm__monoid__add @t1118)) % 45.25/45.42 (define @t1125 () (@list @t761 @t1 @t24 @t25 @t2 @t40 @t10 @t1118)) % 45.25/45.42 (define @t1126 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t159)) % 45.25/45.42 (define @t1127 () (tptp.hAPP @t1126 @t236)) % 45.25/45.42 (define @t1128 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1129 () (@list @t236 @t159)) % 45.25/45.42 (define @t1130 () (tptp.c_Groups_Oplus__class_Oplus @t10)) % 45.25/45.42 (define @t1131 () (tptp.hAPP @t1130 @t1078)) % 45.25/45.42 (define @t1132 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 45.25/45.42 (define @t1133 () (@var "V_e_2" $$unsorted)) % 45.25/45.42 (define @t1134 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP (tptp.hAPP @t695 @t171) @t153)) @t1133)) @t170)) % 45.25/45.42 (define @t1135 () (tptp.hAPP @t1111 @t171)) % 45.25/45.42 (define @t1136 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1135 @t1133)) @t170)) % 45.25/45.42 (define @t1137 () (tptp.hAPP @t1111 @t153)) % 45.25/45.42 (define @t1138 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1137 @t1133)) @t174)) % 45.25/45.42 (define @t1139 () (= @t1138 @t1136)) % 45.25/45.42 (define @t1140 () (tptp.class_Rings_Oring @t10)) % 45.25/45.42 (define @t1141 () (@list @t170 @t171 @t174 @t1133 @t153 @t10)) % 45.25/45.42 (define @t1142 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP (tptp.hAPP @t1111 @t697) @t1133)) @t174)) % 45.25/45.42 (define @t1143 () (@var "V_j_2" $$unsorted)) % 45.25/45.42 (define @t1144 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1145 () (tptp.hAPP @t1144 @t1143)) % 45.25/45.42 (define @t1146 () (tptp.hAPP @t1145 @t160)) % 45.25/45.42 (define @t1147 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t749)) % 45.25/45.42 (define @t1148 () (tptp.hAPP @t1147 @t1143)) % 45.25/45.42 (define @t1149 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 45.25/45.42 (define @t1150 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1149)) % 45.25/45.42 (define @t1151 () (tptp.hAPP @t1080 @t749)) % 45.25/45.42 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t1151 @t1143))) % 45.25/45.42 (define @t1153 () (@list @t160 @t1143 @t749)) % 45.25/45.42 (define @t1154 () (tptp.c_Groups_Otimes__class_Otimes @t35)) % 45.25/45.42 (define @t1155 () (tptp.hAPP @t1154 @t83)) % 45.25/45.42 (define @t1156 () (tptp.hAPP @t1155 @t83)) % 45.25/45.42 (define @t1157 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t35)) % 45.25/45.42 (define @t1158 () (tptp.hAPP @t1154 @t34)) % 45.25/45.42 (define @t1159 () (tptp.hAPP @t1158 @t34)) % 45.25/45.42 (define @t1160 () (tptp.hAPP @t1155 @t87)) % 45.25/45.42 (define @t1161 () (tptp.c_Groups_Oplus__class_Oplus @t35)) % 45.25/45.42 (define @t1162 () (tptp.hAPP @t1161 @t87)) % 45.25/45.42 (define @t1163 () (tptp.hAPP @t1162 @t84)) % 45.25/45.42 (define @t1164 () (tptp.hAPP @t1161 @t83)) % 45.25/45.42 (define @t1165 () (tptp.hAPP @t1164 @t87)) % 45.25/45.42 (define @t1166 () (tptp.hAPP @t1161 @t1165)) % 45.25/45.42 (define @t1167 () (tptp.hAPP @t1166 @t84)) % 45.25/45.42 (define @t1168 () (= @t1167 (tptp.hAPP @t1164 @t1163))) % 45.25/45.42 (define @t1169 () (tptp.hAPP @t1154 @t87)) % 45.25/45.42 (define @t1170 () (tptp.hAPP @t1169 @t84)) % 45.25/45.42 (define @t1171 () (tptp.hAPP @t1130 @t153)) % 45.25/45.42 (define @t1172 () (tptp.hAPP @t1171 @t174)) % 45.25/45.42 (define @t1173 () (tptp.hAPP @t1171 @t171)) % 45.25/45.42 (define @t1174 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 45.25/45.42 (define @t1175 () (tptp.hAPP @t1130 @t174)) % 45.25/45.42 (define @t1176 () (tptp.hAPP @t1175 @t153)) % 45.25/45.42 (define @t1177 () (tptp.hAPP @t1130 @t171)) % 45.25/45.42 (define @t1178 () (tptp.hAPP @t1177 @t153)) % 45.25/45.42 (define @t1179 () (tptp.hAPP @t1164 @t84)) % 45.25/45.42 (define @t1180 () (=> (= @t1165 @t1179) @t88)) % 45.25/45.42 (define @t1181 () (tptp.class_Groups_Ocancel__semigroup__add @t35)) % 45.25/45.42 (define @t1182 () (tptp.hAPP @t1161 @t84)) % 45.25/45.42 (define @t1183 () (tptp.hAPP @t1182 @t83)) % 45.25/45.42 (define @t1184 () (tptp.hAPP @t1162 @t83)) % 45.25/45.42 (define @t1185 () (tptp.hAPP @t1155 @t84)) % 45.25/45.42 (define @t1186 () (tptp.hAPP @t1154 @t1165)) % 45.25/45.42 (define @t1187 () (= (tptp.hAPP @t1186 @t84) (tptp.hAPP (tptp.hAPP @t1161 @t1185) @t1170))) % 45.25/45.42 (define @t1188 () (@var "V_e" $$unsorted)) % 45.25/45.42 (define @t1189 () (@var "B_m" $$unsorted)) % 45.25/45.42 (define @t1190 () (tptp.c_member tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1191 () (tptp.hAPP @t1190 @t3)) % 45.25/45.42 (define @t1192 () (tptp.hBOOL (tptp.hAPP @t1191 @t830))) % 45.25/45.42 (define @t1193 () (@list @t1189)) % 45.25/45.42 (define @t1194 () (tptp.hBOOL (tptp.hAPP @t1128 @t830))) % 45.25/45.42 (define @t1195 () (@list @t830)) % 45.25/45.42 (define @t1196 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1138) @t1136))) % 45.25/45.42 (define @t1197 () (tptp.class_Rings_Oordered__ring @t10)) % 45.25/45.42 (define @t1198 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1138) @t1136))) % 45.25/45.42 (define @t1199 () (tptp.hAPP @t1177 @t174)) % 45.25/45.42 (define @t1200 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 45.25/45.42 (define @t1201 () (@list @t171 @t174 @t153 @t10)) % 45.25/45.42 (define @t1202 () (tptp.hAPP @t1175 @t171)) % 45.25/45.42 (define @t1203 () (@list @t171 @t153 @t174 @t10)) % 45.25/45.42 (define @t1204 () (tptp.hAPP @t36 @t1179)) % 45.25/45.42 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t1204 @t1163))) % 45.25/45.42 (define @t1206 () (tptp.class_Groups_Oordered__ab__semigroup__add @t35)) % 45.25/45.42 (define @t1207 () (tptp.hAPP @t1182 @t87)) % 45.25/45.42 (define @t1208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1183) @t1207))) % 45.25/45.42 (define @t1209 () (tptp.hAPP @t1162 @t368)) % 45.25/45.42 (define @t1210 () (tptp.hBOOL (tptp.hAPP @t85 @t368))) % 45.25/45.42 (define @t1211 () (@list @t368 @t84 @t87 @t83 @t35)) % 45.25/45.42 (define @t1212 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t35)) % 45.25/45.42 (define @t1213 () (@list @t87 @t84 @t83 @t35)) % 45.25/45.42 (define @t1214 () (@list @t87 @t83 @t84 @t35)) % 45.25/45.42 (define @t1215 () (tptp.hAPP @t447 @t1179)) % 45.25/45.42 (define @t1216 () (tptp.hBOOL (tptp.hAPP @t1215 @t1163))) % 45.25/45.42 (define @t1217 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t35)) % 45.25/45.42 (define @t1218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1183) @t1207))) % 45.25/45.42 (define @t1219 () (tptp.hBOOL (tptp.hAPP @t1215 @t1209))) % 45.25/45.42 (define @t1220 () (tptp.hBOOL (tptp.hAPP @t459 @t368))) % 45.25/45.42 (define @t1221 () (=> @t1220 @t1219)) % 45.25/45.42 (define @t1222 () (tptp.hAPP @t713 @t1165)) % 45.25/45.42 (define @t1223 () (tptp.hAPP @t1161 @t222)) % 45.25/45.42 (define @t1224 () (tptp.hAPP @t214 @t1165)) % 45.25/45.42 (define @t1225 () (tptp.hAPP @t1154 @t222)) % 45.25/45.42 (define @t1226 () (tptp.class_Rings_Oring @t35)) % 45.25/45.42 (define @t1227 () (tptp.hAPP @t1155 @t223)) % 45.25/45.42 (define @t1228 () (tptp.hAPP @t1225 @t87)) % 45.25/45.42 (define @t1229 () (tptp.hAPP @t214 @t1160)) % 45.25/45.42 (define @t1230 () (tptp.hAPP @t1161 @t66)) % 45.25/45.42 (define @t1231 () (tptp.hAPP @t1230 @t72)) % 45.25/45.42 (define @t1232 () (tptp.hAPP @t1161 @t34)) % 45.25/45.42 (define @t1233 () (tptp.hAPP @t1232 @t72)) % 45.25/45.42 (define @t1234 () (= @t717 (tptp.hAPP @t1164 @t223))) % 45.25/45.42 (define @t1235 () (tptp.hAPP @t1102 @t480)) % 45.25/45.42 (define @t1236 () (tptp.hAPP @t1106 @t1103)) % 45.25/45.42 (define @t1237 () (tptp.hAPP @t1236 (tptp.hAPP @t1102 @t24))) % 45.25/45.42 (define @t1238 () (tptp.hAPP @t1102 @t251)) % 45.25/45.42 (define @t1239 () (@list @t1 @t24 @t25 @t10 @t40)) % 45.25/45.42 (define @t1240 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 45.25/45.42 (define @t1241 () (@list @t49 @t1 @t25 @t10 @t40)) % 45.25/45.42 (define @t1242 () (= @t1238 @t1237)) % 45.25/45.42 (define @t1243 () (tptp.hAPP @t1060 @t256)) % 45.25/45.42 (define @t1244 () (tptp.class_Rings_Ocomm__ring__1 @t35)) % 45.25/45.42 (define @t1245 () (tptp.hAPP (tptp.hAPP @t1111 @t3) @t630)) % 45.25/45.42 (define @t1246 () (tptp.hAPP @t1091 @t445)) % 45.25/45.42 (define @t1247 () (tptp.hAPP @t1246 @t160)) % 45.25/45.42 (define @t1248 () (tptp.hAPP @t1091 @t402)) % 45.25/45.42 (define @t1249 () (tptp.hAPP @t1248 @t160)) % 45.25/45.42 (define @t1250 () (tptp.hAPP @t1080 @t160)) % 45.25/45.42 (define @t1251 () (tptp.hBOOL (tptp.hAPP @t1250 @t445))) % 45.25/45.42 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t1250 @t402))) % 45.25/45.42 (define @t1253 () (@list @t445 @t402 @t160)) % 45.25/45.42 (define @t1254 () (@var "V_n" $$unsorted)) % 45.25/45.42 (define @t1255 () (@var "V_m" $$unsorted)) % 45.25/45.42 (define @t1256 () (tptp.hAPP @t1091 @t1255)) % 45.25/45.42 (define @t1257 () (tptp.hAPP @t1256 @t1254)) % 45.25/45.42 (define @t1258 () (@var "V_k" $$unsorted)) % 45.25/45.42 (define @t1259 () (tptp.hAPP @t1091 @t1254)) % 45.25/45.42 (define @t1260 () (tptp.hAPP @t1080 @t1258)) % 45.25/45.42 (define @t1261 () (tptp.hBOOL (tptp.hAPP @t1260 @t1254))) % 45.25/45.42 (define @t1262 () (@list @t1254 @t1255 @t1258)) % 45.25/45.42 (define @t1263 () (= @t402 @t445)) % 45.25/45.42 (define @t1264 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1265 () (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 (tptp.hAPP (tptp.hAPP @t1091 @t749) @t1143)) @t236)) @t402)) % 45.25/45.42 (define @t1266 () (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t1143) @t236)) @t445)) % 45.25/45.42 (define @t1267 () (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t749) @t236)) @t402)) % 45.25/45.42 (define @t1268 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1267) @t1266))) % 45.25/45.42 (define @t1269 () (tptp.hAPP @t1080 @t1143)) % 45.25/45.42 (define @t1270 () (tptp.hBOOL (tptp.hAPP @t1269 @t749))) % 45.25/45.42 (define @t1271 () (@list @t445 @t402 @t236 @t749 @t1143)) % 45.25/45.42 (define @t1272 () (@var "V_u" $$unsorted)) % 45.25/45.42 (define @t1273 () (@var "V_j" $$unsorted)) % 45.25/45.42 (define @t1274 () (@var "V_i" $$unsorted)) % 45.25/45.42 (define @t1275 () (tptp.hAPP @t1091 @t1274)) % 45.25/45.42 (define @t1276 () (tptp.hAPP @t1275 @t1273)) % 45.25/45.42 (define @t1277 () (tptp.hAPP @t1264 @t1273)) % 45.25/45.42 (define @t1278 () (tptp.hAPP @t1144 (tptp.hAPP @t1277 @t1272))) % 45.25/45.42 (define @t1279 () (tptp.hAPP @t1264 @t1274)) % 45.25/45.42 (define @t1280 () (tptp.hAPP @t1144 (tptp.hAPP @t1279 @t1272))) % 45.25/45.42 (define @t1281 () (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP @t1280 @t1255)) (tptp.hAPP @t1278 @t1254))) % 45.25/45.42 (define @t1282 () (tptp.hAPP @t1080 @t1273)) % 45.25/45.42 (define @t1283 () (tptp.hBOOL (tptp.hAPP @t1282 @t1274))) % 45.25/45.42 (define @t1284 () (= @t1267 @t1266)) % 45.25/45.42 (define @t1285 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1286 () (tptp.hAPP @t1285 @t160)) % 45.25/45.42 (define @t1287 () (@list @t160)) % 45.25/45.42 (define @t1288 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1289 () (tptp.hAPP @t1288 @t160)) % 45.25/45.42 (define @t1290 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t159 @t236)) % 45.25/45.42 (define @t1291 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t159 @t236)) % 45.25/45.42 (define @t1292 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t159 @t236)) % 45.25/45.42 (define @t1293 () (tptp.hAPP @t1144 @t1274)) % 45.25/45.42 (define @t1294 () (tptp.hAPP @t1293 @t1273)) % 45.25/45.42 (define @t1295 () (tptp.hAPP @t1144 @t445)) % 45.25/45.42 (define @t1296 () (tptp.hAPP @t1295 @t160)) % 45.25/45.42 (define @t1297 () (tptp.hAPP @t1144 @t402)) % 45.25/45.42 (define @t1298 () (tptp.hAPP @t1297 @t160)) % 45.25/45.42 (define @t1299 () (@list @t445 @t160 @t402)) % 45.25/45.42 (define @t1300 () (tptp.hAPP @t1144 @t160)) % 45.25/45.42 (define @t1301 () (tptp.hAPP @t1300 @t445)) % 45.25/45.42 (define @t1302 () (tptp.hAPP @t1300 @t402)) % 45.25/45.42 (define @t1303 () (tptp.hAPP @t1264 @t1254)) % 45.25/45.42 (define @t1304 () (tptp.hAPP @t1303 @t1258)) % 45.25/45.42 (define @t1305 () (tptp.hAPP @t1264 @t1255)) % 45.25/45.42 (define @t1306 () (tptp.hAPP @t1305 @t1258)) % 45.25/45.42 (define @t1307 () (tptp.hAPP @t1144 @t1255)) % 45.25/45.42 (define @t1308 () (tptp.hAPP @t1307 @t1254)) % 45.25/45.42 (define @t1309 () (@list @t1258 @t1254 @t1255)) % 45.25/45.42 (define @t1310 () (tptp.hAPP @t1305 @t1254)) % 45.25/45.42 (define @t1311 () (tptp.hAPP @t1144 @t1254)) % 45.25/45.42 (define @t1312 () (tptp.hAPP @t1311 @t1258)) % 45.25/45.42 (define @t1313 () (tptp.hAPP @t1264 @t1258)) % 45.25/45.42 (define @t1314 () (tptp.hAPP @t1313 @t1254)) % 45.25/45.42 (define @t1315 () (tptp.hAPP @t1313 @t1255)) % 45.25/45.42 (define @t1316 () (tptp.hAPP @t1144 @t34)) % 45.25/45.42 (define @t1317 () (tptp.hAPP @t1144 @t66)) % 45.25/45.42 (define @t1318 () (tptp.hAPP @t1317 @t72)) % 45.25/45.42 (define @t1319 () (@list @t72 @t66 @t34)) % 45.25/45.42 (define @t1320 () (tptp.hAPP @t1303 @t1255)) % 45.25/45.42 (define @t1321 () (@list @t1254 @t1255)) % 45.25/45.42 (define @t1322 () (tptp.hAPP @t1311 @t1255)) % 45.25/45.42 (define @t1323 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1324 () (tptp.hAPP @t1323 @t1274)) % 45.25/45.42 (define @t1325 () (tptp.hAPP @t1323 @t1294)) % 45.25/45.42 (define @t1326 () (@list @t1258 @t1273 @t1274)) % 45.25/45.42 (define @t1327 () (tptp.hAPP @t1323 @t1255)) % 45.25/45.42 (define @t1328 () (tptp.hBOOL (tptp.hAPP @t1327 @t1254))) % 45.25/45.42 (define @t1329 () (tptp.hAPP @t1144 @t1258)) % 45.25/45.42 (define @t1330 () (tptp.hAPP @t1329 @t1254)) % 45.25/45.42 (define @t1331 () (@var "V_l" $$unsorted)) % 45.25/45.42 (define @t1332 () (tptp.hAPP @t1323 @t1258)) % 45.25/45.42 (define @t1333 () (tptp.hBOOL (tptp.hAPP @t1332 @t1331))) % 45.25/45.42 (define @t1334 () (tptp.hAPP @t1144 @t1273)) % 45.25/45.42 (define @t1335 () (tptp.hAPP @t1334 @t1331)) % 45.25/45.42 (define @t1336 () (tptp.hAPP @t1293 @t1258)) % 45.25/45.42 (define @t1337 () (tptp.hAPP @t1323 @t1336)) % 45.25/45.42 (define @t1338 () (tptp.hBOOL (tptp.hAPP @t1324 @t1273))) % 45.25/45.42 (define @t1339 () (@list @t1331 @t1258 @t1273 @t1274)) % 45.25/45.42 (define @t1340 () (tptp.hAPP @t1334 @t1258)) % 45.25/45.42 (define @t1341 () (tptp.hAPP @t1307 @t1273)) % 45.25/45.42 (define @t1342 () (@list @t1255 @t1273 @t1274)) % 45.25/45.42 (define @t1343 () (tptp.hAPP @t1334 @t1255)) % 45.25/45.42 (define @t1344 () (tptp.hAPP @t1323 @t402)) % 45.25/45.42 (define @t1345 () (tptp.hBOOL (tptp.hAPP @t1344 @t445))) % 45.25/45.42 (define @t1346 () (tptp.hAPP @t1334 @t1274)) % 45.25/45.42 (define @t1347 () (@list @t1274 @t1273)) % 45.25/45.42 (define @t1348 () (@list @t1273 @t1274)) % 45.25/45.42 (define @t1349 () (tptp.c_Orderings_Otop__class_Otop @t1149)) % 45.25/45.42 (define @t1350 () (tptp.class_Rings_Ocomm__semiring__1 @t35)) % 45.25/45.42 (define @t1351 () (tptp.hAPP @t1182 @t368)) % 45.25/45.42 (define @t1352 () (tptp.hAPP @t1164 @t1351)) % 45.25/45.42 (define @t1353 () (@list @t368 @t84 @t83 @t35)) % 45.25/45.42 (define @t1354 () (tptp.hAPP @t1161 @t1179)) % 45.25/45.42 (define @t1355 () (tptp.hAPP @t1169 @t83)) % 45.25/45.42 (define @t1356 () (@var "V_ry" $$unsorted)) % 45.25/45.42 (define @t1357 () (@var "V_lx" $$unsorted)) % 45.25/45.42 (define @t1358 () (tptp.hAPP @t1154 @t1357)) % 45.25/45.42 (define @t1359 () (@var "V_rx" $$unsorted)) % 45.25/45.42 (define @t1360 () (tptp.hAPP @t1154 @t1359)) % 45.25/45.42 (define @t1361 () (tptp.hAPP @t1360 @t1356)) % 45.25/45.42 (define @t1362 () (tptp.hAPP @t1358 @t1361)) % 45.25/45.42 (define @t1363 () (@list @t1356 @t1359 @t1357 @t35)) % 45.25/45.42 (define @t1364 () (tptp.hAPP @t1154 (tptp.hAPP @t1358 @t1359))) % 45.25/45.42 (define @t1365 () (@var "V_ly" $$unsorted)) % 45.25/45.42 (define @t1366 () (tptp.hAPP @t1154 @t1365)) % 45.25/45.42 (define @t1367 () (tptp.hAPP @t1154 (tptp.hAPP @t1358 @t1365))) % 45.25/45.42 (define @t1368 () (tptp.hAPP @t1367 @t1359)) % 45.25/45.42 (define @t1369 () (@list @t1359 @t1365 @t1357 @t35)) % 45.25/45.42 (define @t1370 () (tptp.hAPP @t1367 @t1361)) % 45.25/45.42 (define @t1371 () (@list @t1356 @t1359 @t1365 @t1357 @t35)) % 45.25/45.42 (define @t1372 () (not @t1263)) % 45.25/45.42 (define @t1373 () (@list @t445 @t402)) % 45.25/45.42 (define @t1374 () (or @t1345 @t1263)) % 45.25/45.42 (define @t1375 () (tptp.hAPP @t1080 @t1255)) % 45.25/45.42 (define @t1376 () (tptp.hBOOL (tptp.hAPP @t1375 @t1254))) % 45.25/45.42 (define @t1377 () (= @t1255 @t1254)) % 45.25/45.42 (define @t1378 () (not @t1377)) % 45.25/45.42 (define @t1379 () (tptp.hAPP @t1080 @t1254)) % 45.25/45.42 (define @t1380 () (@list @t1254)) % 45.25/45.42 (define @t1381 () (tptp.hAPP @t1305 @t1255)) % 45.25/45.42 (define @t1382 () (@list @t1255)) % 45.25/45.42 (define @t1383 () (@list @t1255 @t1254)) % 45.25/45.42 (define @t1384 () (@var "B_k" $$unsorted)) % 45.25/45.42 (define @t1385 () (tptp.hAPP @t1297 @t1384)) % 45.25/45.42 (define @t1386 () (@list @t1384)) % 45.25/45.42 (define @t1387 () (tptp.hBOOL (tptp.hAPP @t1379 @t1255))) % 45.25/45.42 (define @t1388 () (tptp.hAPP @t1080 @t1274)) % 45.25/45.42 (define @t1389 () (tptp.hBOOL (tptp.hAPP @t1388 @t1273))) % 45.25/45.42 (define @t1390 () (tptp.hAPP @t1080 @t1336)) % 45.25/45.42 (define @t1391 () (tptp.hAPP @t1277 @t1258)) % 45.25/45.42 (define @t1392 () (tptp.hAPP @t1279 @t1258)) % 45.25/45.42 (define @t1393 () (tptp.hAPP @t1080 @t1392)) % 45.25/45.42 (define @t1394 () (tptp.hAPP @t1313 @t1273)) % 45.25/45.42 (define @t1395 () (tptp.hAPP @t1313 @t1274)) % 45.25/45.42 (define @t1396 () (tptp.hBOOL (tptp.hAPP @t1260 @t1331))) % 45.25/45.42 (define @t1397 () (tptp.hAPP @t1307 @t1258)) % 45.25/45.42 (define @t1398 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1397) @t1254))) % 45.25/45.42 (define @t1399 () (@list @t1254 @t1258 @t1255)) % 45.25/45.42 (define @t1400 () (tptp.hAPP @t1144 @t749)) % 45.25/45.42 (define @t1401 () (tptp.hAPP @t1400 @t160)) % 45.25/45.42 (define @t1402 () (tptp.hAPP @t1091 @t1143)) % 45.25/45.42 (define @t1403 () (tptp.hAPP @t1402 @t160)) % 45.25/45.42 (define @t1404 () (tptp.hAPP @t1323 @t749)) % 45.25/45.42 (define @t1405 () (= (tptp.hAPP @t1311 @t1257) @t1255)) % 45.25/45.42 (define @t1406 () (not @t1328)) % 45.25/45.42 (define @t1407 () (tptp.hAPP @t1091 @t1273)) % 45.25/45.42 (define @t1408 () (tptp.hAPP @t1323 @t1273)) % 45.25/45.42 (define @t1409 () (tptp.hBOOL (tptp.hAPP @t1408 @t1258))) % 45.25/45.42 (define @t1410 () (tptp.hAPP @t1091 @t1331)) % 45.25/45.42 (define @t1411 () (tptp.hAPP @t1410 @t1255)) % 45.25/45.42 (define @t1412 () (tptp.hAPP @t1410 @t1254)) % 45.25/45.42 (define @t1413 () (@list @t1331 @t1254 @t1255)) % 45.25/45.42 (define @t1414 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1415 () (tptp.hAPP @t1414 @t1254)) % 45.25/45.42 (define @t1416 () (tptp.hAPP @t1259 @t1255)) % 45.25/45.42 (define @t1417 () (tptp.hAPP @t1091 @t1322)) % 45.25/45.42 (define @t1418 () (tptp.hAPP (tptp.hAPP @t1091 @t1276) @t1258)) % 45.25/45.42 (define @t1419 () (tptp.hAPP @t1329 @t1255)) % 45.25/45.42 (define @t1420 () (tptp.hAPP @t1091 @t1397)) % 45.25/45.42 (define @t1421 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1422 () (tptp.hAPP (tptp.hAPP @t1421 @t1255) @t1254)) % 45.25/45.42 (define @t1423 () (tptp.hAPP @t1259 @t1274)) % 45.25/45.42 (define @t1424 () (tptp.hAPP @t1158 @t72)) % 45.25/45.42 (define @t1425 () (tptp.hAPP @t1158 @t66)) % 45.25/45.42 (define @t1426 () (tptp.hAPP @t1135 @t174)) % 45.25/45.42 (define @t1427 () (tptp.hAPP @t1137 @t174)) % 45.25/45.42 (define @t1428 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10)) % 45.25/45.42 (define @t1429 () (tptp.hAPP @t1155 @t1255)) % 45.25/45.42 (define @t1430 () (tptp.hAPP @t1161 @t1429)) % 45.25/45.42 (define @t1431 () (= @t99 @t348)) % 45.25/45.42 (define @t1432 () (@var "V_w_2" $$unsorted)) % 45.25/45.42 (define @t1433 () (tptp.hAPP @t1111 @t1432)) % 45.25/45.42 (define @t1434 () (tptp.hAPP @t1116 @t348)) % 45.25/45.42 (define @t1435 () (tptp.hAPP @t1433 @t99)) % 45.25/45.42 (define @t1436 () (tptp.hAPP @t1402 @t749)) % 45.25/45.42 (define @t1437 () (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t1436) @t236)) @t445)) % 45.25/45.42 (define @t1438 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1267) @t1266))) % 45.25/45.42 (define @t1439 () (@list @t445 @t402 @t236 @t1143 @t749)) % 45.25/45.42 (define @t1440 () (@list @t84 @t87 @t83)) % 45.25/45.42 (define @t1441 () (tptp.hAPP @t1407 @t1258)) % 45.25/45.42 (define @t1442 () (tptp.hBOOL (tptp.hAPP @t1260 @t1273))) % 45.25/45.42 (define @t1443 () (@list @t1274 @t1273 @t1258)) % 45.25/45.42 (define @t1444 () (@list @t1255 @t1254 @t1258)) % 45.25/45.42 (define @t1445 () (@list @t1254 @t1274)) % 45.25/45.42 (define @t1446 () (tptp.hAPP (tptp.hAPP @t1091 @t1294) @t1258)) % 45.25/45.42 (define @t1447 () (tptp.hAPP @t1293 @t1441)) % 45.25/45.42 (define @t1448 () (tptp.hAPP (tptp.hAPP @t1091 @t1346) @t1258)) % 45.25/45.42 (define @t1449 () (tptp.hAPP (tptp.hAPP @t1144 @t1441) @t1274)) % 45.25/45.42 (define @t1450 () (tptp.hAPP @t1407 @t1274)) % 45.25/45.42 (define @t1451 () (tptp.hAPP @t1080 @t34)) % 45.25/45.42 (define @t1452 () (tptp.hBOOL (tptp.hAPP @t1451 @t1318))) % 45.25/45.42 (define @t1453 () (tptp.hBOOL (tptp.hAPP @t1451 @t66))) % 45.25/45.42 (define @t1454 () (@list @t66 @t72 @t34)) % 45.25/45.42 (define @t1455 () (not @t888)) % 45.25/45.42 (define @t1456 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1111 @t171 @t25)) % 45.25/45.42 (define @t1457 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t40)) % 45.25/45.42 (define @t1458 () (tptp.hAPP @t1457 @t1)) % 45.25/45.42 (define @t1459 () (tptp.c_Groups_Otimes__class_Otimes @t40)) % 45.25/45.42 (define @t1460 () (tptp.hAPP @t1459 @t50)) % 45.25/45.42 (define @t1461 () (tptp.hAPP @t1460 (tptp.hAPP @t1458 @t705))) % 45.25/45.42 (define @t1462 () (tptp.hAPP @t1458 @t25)) % 45.25/45.42 (define @t1463 () (tptp.class_Groups_Ocomm__monoid__mult @t40)) % 45.25/45.42 (define @t1464 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t551)) % 45.25/45.42 (define @t1465 () (tptp.hAPP (tptp.hAPP @t1464 @t49) @t25)) % 45.25/45.42 (define @t1466 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t627)) % 45.25/45.42 (define @t1467 () (tptp.hAPP (tptp.hAPP @t1466 @t49) @t25)) % 45.25/45.42 (define @t1468 () (tptp.hAPP @t1323 @t1254)) % 45.25/45.42 (define @t1469 () (tptp.hAPP @t1323 @t445)) % 45.25/45.42 (define @t1470 () (tptp.hBOOL (tptp.hAPP @t1469 @t402))) % 45.25/45.42 (define @t1471 () (tptp.hAPP @t1323 @t34)) % 45.25/45.42 (define @t1472 () (tptp.hBOOL (tptp.hAPP @t1471 @t66))) % 45.25/45.42 (define @t1473 () (@list @t66 @t34)) % 45.25/45.42 (define @t1474 () (tptp.hBOOL (tptp.hAPP @t1468 @t1255))) % 45.25/45.42 (define @t1475 () (@var "V_t" $$unsorted)) % 45.25/45.42 (define @t1476 () (@var "V_s" $$unsorted)) % 45.25/45.42 (define @t1477 () (tptp.hAPP @t58 @t445)) % 45.25/45.42 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t1477 @t402))) % 45.25/45.42 (define @t1479 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t40 @t10 @t2) @t348)) % 45.25/45.42 (define @t1480 () (= @t49 @t348)) % 45.25/45.42 (define @t1481 () (tptp.c_Finite__Set_Ofold__graph @t10 @t40 @t2 @t348 @t142)) % 45.25/45.42 (define @t1482 () (@list @t348 @t2 @t40 @t10)) % 45.25/45.42 (define @t1483 () (tptp.c_Finite__Set_Ofold__graph @t10 @t40 @t2 @t348 @t25)) % 45.25/45.42 (define @t1484 () (tptp.hBOOL (tptp.hAPP @t1483 @t49))) % 45.25/45.42 (define @t1485 () (tptp.hAPP @t51 @t99)) % 45.25/45.42 (define @t1486 () (tptp.c_Finite__Set_Ofold__graph @t10 @t40 @t2 @t348 @t480)) % 45.25/45.42 (define @t1487 () (tptp.hBOOL (tptp.hAPP @t1483 @t99))) % 45.25/45.42 (define @t1488 () (@list @t99 @t348 @t2 @t40 @t25 @t49 @t10)) % 45.25/45.42 (define @t1489 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t291)) % 45.25/45.42 (define @t1490 () (tptp.hAPP @t1489 @t171)) % 45.25/45.42 (define @t1491 () (tptp.hAPP @t1490 @t25)) % 45.25/45.42 (define @t1492 () (@list @t153 @t171 @t25 @t10)) % 45.25/45.42 (define @t1493 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t294)) % 45.25/45.42 (define @t1494 () (tptp.hAPP @t1493 @t171)) % 45.25/45.42 (define @t1495 () (tptp.hAPP @t1494 @t25)) % 45.25/45.42 (define @t1496 () (tptp.hAPP @t1466 @t171)) % 45.25/45.42 (define @t1497 () (tptp.hAPP @t1496 @t25)) % 45.25/45.42 (define @t1498 () (tptp.hAPP @t1464 @t171)) % 45.25/45.42 (define @t1499 () (tptp.hAPP @t1498 @t25)) % 45.25/45.42 (define @t1500 () (tptp.hBOOL (tptp.hAPP @t1471 @t1318))) % 45.25/45.42 (define @t1501 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2)) % 45.25/45.42 (define @t1502 () (tptp.hAPP @t1457 @t2)) % 45.25/45.42 (define @t1503 () (tptp.hAPP @t1502 @t25)) % 45.25/45.42 (define @t1504 () (tptp.hAPP @t1458 @t480)) % 45.25/45.42 (define @t1505 () (tptp.hAPP @t1459 @t1462)) % 45.25/45.42 (define @t1506 () (tptp.hAPP @t1505 (tptp.hAPP @t1458 @t24))) % 45.25/45.42 (define @t1507 () (tptp.hAPP @t1458 @t251)) % 45.25/45.42 (define @t1508 () (tptp.hAPP @t1111 @t348)) % 45.25/45.42 (define @t1509 () (@list @t171 @t153 @t25 @t10)) % 45.25/45.42 (define @t1510 () (= (tptp.hAPP @t1112 @t501) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t10 @t1111) @t153) @t25))) % 45.25/45.42 (define @t1511 () (tptp.hAPP (tptp.hAPP @t1466 @t153) @t25)) % 45.25/45.42 (define @t1512 () (tptp.hAPP (tptp.hAPP @t1464 @t153) @t25)) % 45.25/45.42 (define @t1513 () (= @t1507 @t1506)) % 45.25/45.42 (define @t1514 () (@list @t99 @t49 @t25 @t348 @t2 @t40 @t10)) % 45.25/45.42 (define @t1515 () (tptp.c_Finite__Set_Ofold @t10 @t40 @t2)) % 45.25/45.42 (define @t1516 () (tptp.hAPP @t1515 @t348)) % 45.25/45.42 (define @t1517 () (tptp.hAPP @t51 (tptp.hAPP @t1516 @t705))) % 45.25/45.42 (define @t1518 () (tptp.hAPP @t1516 @t25)) % 45.25/45.42 (define @t1519 () (tptp.c_Finite__Set_Ofun__left__comm @t10 @t40 @t2)) % 45.25/45.42 (define @t1520 () (@list @t348 @t49 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t1521 () (tptp.hAPP @t1516 @t480)) % 45.25/45.42 (define @t1522 () (@list @t49 @t348 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t1523 () (tptp.hAPP @t51 @t1518)) % 45.25/45.42 (define @t1524 () (= @t1521 @t1523)) % 45.25/45.42 (define @t1525 () (tptp.hAPP @t51 @t348)) % 45.25/45.42 (define @t1526 () (tptp.hAPP (tptp.hAPP @t1515 @t1525) @t25)) % 45.25/45.42 (define @t1527 () (= @t1521 @t1526)) % 45.25/45.42 (define @t1528 () (tptp.c_Finite__Set_Ocard @t10)) % 45.25/45.42 (define @t1529 () (tptp.hAPP @t1528 @t25)) % 45.25/45.42 (define @t1530 () (tptp.hAPP @t1528 @t705)) % 45.25/45.42 (define @t1531 () (tptp.hAPP @t477 @t142)) % 45.25/45.42 (define @t1532 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1533 () (@list @t236)) % 45.25/45.42 (define @t1534 () (tptp.hAPP @t1528 @t143)) % 45.25/45.42 (define @t1535 () (tptp.c_Finite__Set_Ocard @t40)) % 45.25/45.42 (define @t1536 () (tptp.hAPP @t1535 @t602)) % 45.25/45.42 (define @t1537 () (= @t1536 @t1529)) % 45.25/45.42 (define @t1538 () (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t25)) % 45.25/45.42 (define @t1539 () (tptp.hAPP @t1532 @t25)) % 45.25/45.42 (define @t1540 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t160) (tptp.hAPP @t1300 @t1539))) % 45.25/45.42 (define @t1541 () (tptp.c_Orderings_Oord__class_Oless__eq @t1149)) % 45.25/45.42 (define @t1542 () (tptp.hAPP @t1541 @t25)) % 45.25/45.42 (define @t1543 () (tptp.hAPP @t1091 @t236)) % 45.25/45.42 (define @t1544 () (tptp.hAPP @t1543 @t159)) % 45.25/45.42 (define @t1545 () (tptp.hAPP @t1528 @t480)) % 45.25/45.42 (define @t1546 () (tptp.hAPP @t1080 @t1529)) % 45.25/45.42 (define @t1547 () (tptp.hAPP @t1528 @t24)) % 45.25/45.42 (define @t1548 () (@list @t2 @t40 @t25 @t10)) % 45.25/45.42 (define @t1549 () (tptp.hAPP @t1535 @t25)) % 45.25/45.42 (define @t1550 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1529) @t1547))) % 45.25/45.42 (define @t1551 () (tptp.hAPP @t1144 @t1529)) % 45.25/45.42 (define @t1552 () (tptp.hAPP @t1551 @t1547)) % 45.25/45.42 (define @t1553 () (tptp.hAPP @t1528 @t256)) % 45.25/45.42 (define @t1554 () (tptp.hAPP @t1528 @t251)) % 45.25/45.42 (define @t1555 () (tptp.hAPP (tptp.hAPP @t1144 @t1554) @t1553)) % 45.25/45.42 (define @t1556 () (tptp.hAPP @t1535 @t24)) % 45.25/45.42 (define @t1557 () (= @t1529 @t1556)) % 45.25/45.42 (define @t1558 () (tptp.c_Set_Oimage @t40 @t10 @t1)) % 45.25/45.42 (define @t1559 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t1558 @t24)) @t25))) % 45.25/45.42 (define @t1560 () (tptp.c_Fun_Oinj__on @t40 @t10 @t1 @t24)) % 45.25/45.42 (define @t1561 () (tptp.hBOOL (tptp.hAPP @t603 @t24))) % 45.25/45.42 (define @t1562 () (@list @t1 @t24 @t25 @t2 @t40 @t10)) % 45.25/45.42 (define @t1563 () (tptp.hAPP @t1091 @t1529)) % 45.25/45.42 (define @t1564 () (tptp.hAPP @t1563 @t1547)) % 45.25/45.42 (define @t1565 () (tptp.hAPP @t1528 @t693)) % 45.25/45.42 (define @t1566 () (= @t1554 @t1552)) % 45.25/45.42 (define @t1567 () (tptp.hBOOL (tptp.hAPP @t1546 @t1556))) % 45.25/45.42 (define @t1568 () (@var "B_y_H" $$unsorted)) % 45.25/45.42 (define @t1569 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1570 () (=> @t843 (= @t1530 (tptp.hAPP @t1563 @t1569)))) % 45.25/45.42 (define @t1571 () (tptp.hAPP @t1144 @t1569)) % 45.25/45.42 (define @t1572 () (tptp.hAPP @t1571 @t1530)) % 45.25/45.42 (define @t1573 () (tptp.hAPP tptp.c_Nat_OSuc @t1530)) % 45.25/45.42 (define @t1574 () (tptp.hAPP tptp.c_Nat_OSuc @t1254)) % 45.25/45.42 (define @t1575 () (tptp.hAPP tptp.c_Nat_OSuc @t1255)) % 45.25/45.42 (define @t1576 () (tptp.hAPP @t1323 @t1575)) % 45.25/45.42 (define @t1577 () (tptp.hBOOL (tptp.hAPP @t1576 @t1574))) % 45.25/45.42 (define @t1578 () (@var "V_nat_H_2" $$unsorted)) % 45.25/45.42 (define @t1579 () (@var "V_nat_2" $$unsorted)) % 45.25/45.42 (define @t1580 () (tptp.hAPP tptp.c_Nat_OSuc @t1579)) % 45.25/45.42 (define @t1581 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1582 () (tptp.hAPP @t1581 @t160)) % 45.25/45.42 (define @t1583 () (tptp.hAPP tptp.c_Nat_OSuc @t160)) % 45.25/45.42 (define @t1584 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1585 () (tptp.hAPP @t1584 @t1583)) % 45.25/45.42 (define @t1586 () (tptp.c_Groups_Oone__class_Oone @t10)) % 45.25/45.42 (define @t1587 () (= @t49 @t1586)) % 45.25/45.42 (define @t1588 () (tptp.c_Orderings_Obot__class_Obot @t1149)) % 45.25/45.42 (define @t1589 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1590 () (tptp.hAPP @t1589 @t1583)) % 45.25/45.42 (define @t1591 () (tptp.c_Groups_Ominus__class_Ominus @t1149)) % 45.25/45.42 (define @t1592 () (tptp.hAPP @t1589 @t160)) % 45.25/45.42 (define @t1593 () (@var "B_n" $$unsorted)) % 45.25/45.42 (define @t1594 () (tptp.hAPP tptp.c_Nat_OSuc @t1593)) % 45.25/45.42 (define @t1595 () (tptp.hAPP @t2 @t1593)) % 45.25/45.42 (define @t1596 () (@list @t1593)) % 45.25/45.42 (define @t1597 () (tptp.c_Groups_Oone__class_Oone @t35)) % 45.25/45.42 (define @t1598 () (= (tptp.hAPP (tptp.hAPP @t1154 @t1597) @t83) @t83)) % 45.25/45.42 (define @t1599 () (tptp.class_Groups_Omonoid__mult @t35)) % 45.25/45.42 (define @t1600 () (tptp.class_Groups_Ocomm__monoid__mult @t35)) % 45.25/45.42 (define @t1601 () (= (tptp.hAPP @t1155 @t1597) @t83)) % 45.25/45.42 (define @t1602 () (tptp.hAPP tptp.c_Nat_OSuc @t402)) % 45.25/45.42 (define @t1603 () (tptp.hBOOL (tptp.hAPP @t1469 @t1602))) % 45.25/45.42 (define @t1604 () (tptp.hAPP tptp.c_Nat_OSuc @t445)) % 45.25/45.42 (define @t1605 () (tptp.hBOOL (tptp.hAPP @t1344 @t1604))) % 45.25/45.42 (define @t1606 () (= @t445 @t402)) % 45.25/45.42 (define @t1607 () (= @t1603 @t1606)) % 45.25/45.42 (define @t1608 () (not @t1470)) % 45.25/45.42 (define @t1609 () (@list @t402 @t445)) % 45.25/45.42 (define @t1610 () (tptp.hBOOL (tptp.hAPP @t1327 @t1574))) % 45.25/45.42 (define @t1611 () (tptp.hBOOL (tptp.hAPP @t1576 @t1254))) % 45.25/45.42 (define @t1612 () (tptp.hAPP tptp.c_Nat_OSuc @t1274)) % 45.25/45.42 (define @t1613 () (tptp.hAPP tptp.c_Nat_OSuc @t1308)) % 45.25/45.42 (define @t1614 () (tptp.hAPP @t1307 @t1574)) % 45.25/45.42 (define @t1615 () (tptp.hAPP (tptp.hAPP @t1144 @t1575) @t1254)) % 45.25/45.42 (define @t1616 () (tptp.hAPP @t1080 @t1604)) % 45.25/45.42 (define @t1617 () (tptp.hBOOL (tptp.hAPP @t1616 @t402))) % 45.25/45.42 (define @t1618 () (not @t1084)) % 45.25/45.42 (define @t1619 () (tptp.hBOOL (tptp.hAPP @t1083 @t1604))) % 45.25/45.42 (define @t1620 () (tptp.hBOOL (tptp.hAPP @t1081 @t402))) % 45.25/45.42 (define @t1621 () (tptp.hBOOL (tptp.hAPP @t1375 @t1574))) % 45.25/45.42 (define @t1622 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1575) @t1254))) % 45.25/45.42 (define @t1623 () (= @t5 @t1569)) % 45.25/45.42 (define @t1624 () (tptp.hBOOL (tptp.hAPP @t204 @t757))) % 45.25/45.42 (define @t1625 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1626 () (tptp.hAPP @t1625 @t2)) % 45.25/45.42 (define @t1627 () (@list @t2 @t757 @t10)) % 45.25/45.42 (define @t1628 () (tptp.hAPP @t1091 @t1575)) % 45.25/45.42 (define @t1629 () (tptp.hAPP @t1628 @t1254)) % 45.25/45.42 (define @t1630 () (tptp.hAPP @t1264 @t1583)) % 45.25/45.42 (define @t1631 () (tptp.hAPP @t1630 @t445)) % 45.25/45.42 (define @t1632 () (tptp.hAPP @t1630 @t402)) % 45.25/45.42 (define @t1633 () (and (= @t402 @t1569) (= @t445 @t1569))) % 45.25/45.42 (define @t1634 () (tptp.hAPP @t1264 @t402)) % 45.25/45.42 (define @t1635 () (tptp.hAPP @t1634 @t445)) % 45.25/45.42 (define @t1636 () (tptp.hAPP tptp.c_Nat_OSuc @t1143)) % 45.25/45.42 (define @t1637 () (tptp.hAPP tptp.c_Nat_OSuc @t749)) % 45.25/45.42 (define @t1638 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 45.25/45.42 (define @t1639 () (@list @t1143 @t749)) % 45.25/45.42 (define @t1640 () (@list @t402)) % 45.25/45.42 (define @t1641 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t749 @t1143)) % 45.25/45.42 (define @t1642 () (tptp.hAPP @t1285 @t1583)) % 45.25/45.42 (define @t1643 () (tptp.hAPP tptp.c_Nat_OSuc @t236)) % 45.25/45.42 (define @t1644 () (tptp.hAPP @t1164 @t1597)) % 45.25/45.42 (define @t1645 () (tptp.class_Rings_Olinordered__semidom @t35)) % 45.25/45.42 (define @t1646 () (tptp.hAPP @t447 @t1597)) % 45.25/45.42 (define @t1647 () (@list @t1254 @t1255 @t35)) % 45.25/45.42 (define @t1648 () (tptp.hAPP (tptp.hAPP @t1154 @t1644) @t1255)) % 45.25/45.42 (define @t1649 () (tptp.hAPP @t1161 @t1255)) % 45.25/45.42 (define @t1650 () (tptp.hAPP @t1161 @t1597)) % 45.25/45.42 (define @t1651 () (tptp.hAPP @t1650 @t1597)) % 45.25/45.42 (define @t1652 () (tptp.hAPP @t1154 @t1651)) % 45.25/45.42 (define @t1653 () (@list @t1255 @t35)) % 45.25/45.42 (define @t1654 () (tptp.hAPP @t218 @t1586)) % 45.25/45.42 (define @t1655 () (tptp.hAPP @t1116 @t49)) % 45.25/45.42 (define @t1656 () (tptp.class_Rings_Oring__1__no__zero__divisors @t10)) % 45.25/45.42 (define @t1657 () (tptp.hAPP @t214 @t1597)) % 45.25/45.42 (define @t1658 () (tptp.hAPP @t1293 @t1255)) % 45.25/45.42 (define @t1659 () (@list @t1255 @t1274)) % 45.25/45.42 (define @t1660 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1602) @t445))) % 45.25/45.42 (define @t1661 () (tptp.hAPP @t1323 @t1257)) % 45.25/45.42 (define @t1662 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t40 @t10)) % 45.25/45.42 (define @t1663 () (tptp.hAPP @t1662 @t1)) % 45.25/45.42 (define @t1664 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 45.25/45.42 (define @t1665 () (@list @t1 @t40 @t10)) % 45.25/45.42 (define @t1666 () (tptp.hAPP @t1662 @t2)) % 45.25/45.42 (define @t1667 () (tptp.c_Groups_Oone__class_Oone @t40)) % 45.25/45.42 (define @t1668 () (not @t675)) % 45.25/45.42 (define @t1669 () (=> @t1668 (= @t1462 @t1667))) % 45.25/45.42 (define @t1670 () (@list @t1 @t25 @t10 @t40)) % 45.25/45.42 (define @t1671 () (@list @t2 @t25 @t10 @t40)) % 45.25/45.42 (define @t1672 () (tptp.hAPP @t1076 @t1604)) % 45.25/45.42 (define @t1673 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t402 @t445)) % 45.25/45.42 (define @t1674 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t402 @t1604)) % 45.25/45.42 (define @t1675 () (tptp.hAPP tptp.c_Nat_OSuc @t159)) % 45.25/45.42 (define @t1676 () (tptp.hAPP tptp.c_Nat_OSuc @t1273)) % 45.25/45.42 (define @t1677 () (tptp.hAPP tptp.c_Nat_OSuc @t1441)) % 45.25/45.42 (define @t1678 () (@list @t1255 @t1273 @t1258)) % 45.25/45.42 (define @t1679 () (=> @t901 (= @t1545 (tptp.hAPP tptp.c_Nat_OSuc @t1529)))) % 45.25/45.42 (define @t1680 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1602)) % 45.25/45.42 (define @t1681 () (tptp.hAPP @t1130 @t647)) % 45.25/45.42 (define @t1682 () (@list @t2 @t445 @t402 @t10)) % 45.25/45.42 (define @t1683 () (tptp.hAPP @t1074 @t1673)) % 45.25/45.42 (define @t1684 () (tptp.hAPP @t1295 @t1072)) % 45.25/45.42 (define @t1685 () (tptp.hAPP @t1295 @t1569)) % 45.25/45.42 (define @t1686 () (tptp.hAPP @t1130 @t1683)) % 45.25/45.42 (define @t1687 () (tptp.hAPP @t1256 @t1569)) % 45.25/45.42 (define @t1688 () (tptp.hAPP @t1311 @t1569)) % 45.25/45.42 (define @t1689 () (tptp.hAPP @t1571 @t1254)) % 45.25/45.42 (define @t1690 () (@var "V_T_2" $$unsorted)) % 45.25/45.42 (define @t1691 () (tptp.hAPP @t1502 @t1690)) % 45.25/45.42 (define @t1692 () (tptp.hAPP @t1502 @t525)) % 45.25/45.42 (define @t1693 () (tptp.hAPP (tptp.hAPP @t239 @t525) @t1690)) % 45.25/45.42 (define @t1694 () (= @t5 @t1667)) % 45.25/45.42 (define @t1695 () (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP (tptp.hAPP @t246 @t525) @t1690)))) % 45.25/45.42 (define @t1696 () (forall @t7 (=> @t1695 @t1694))) % 45.25/45.42 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t673 @t1690))) % 45.25/45.42 (define @t1698 () (@list @t2 @t1690 @t525 @t10 @t40)) % 45.25/45.42 (define @t1699 () (tptp.hBOOL (tptp.hAPP @t204 @t256))) % 45.25/45.42 (define @t1700 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1701 () (tptp.hAPP tptp.c_Nat_OSuc @t1700)) % 45.25/45.42 (define @t1702 () (tptp.hAPP @t1080 @t1700)) % 45.25/45.42 (define @t1703 () (tptp.hAPP @t1323 @t1700)) % 45.25/45.42 (define @t1704 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 45.25/45.42 (define @t1705 () (= @t49 @t1704)) % 45.25/45.42 (define @t1706 () (= @t153 @t1704)) % 45.25/45.42 (define @t1707 () (tptp.c_Groups_Ozero__class_Ozero @t35)) % 45.25/45.42 (define @t1708 () (= (tptp.hAPP @t1164 @t1707) @t83)) % 45.25/45.42 (define @t1709 () (tptp.hAPP @t1161 @t1707)) % 45.25/45.42 (define @t1710 () (= (tptp.hAPP @t1709 @t83) @t83)) % 45.25/45.42 (define @t1711 () (tptp.class_Groups_Ocomm__monoid__add @t35)) % 45.25/45.42 (define @t1712 () (tptp.class_Groups_Omonoid__add @t35)) % 45.25/45.42 (define @t1713 () (tptp.hAPP @t1171 @t153)) % 45.25/45.42 (define @t1714 () (= (tptp.hAPP @t1155 @t1707) @t1707)) % 45.25/45.42 (define @t1715 () (= (tptp.hAPP (tptp.hAPP @t1154 @t1707) @t83) @t1707)) % 45.25/45.42 (define @t1716 () (= @t87 @t1707)) % 45.25/45.42 (define @t1717 () (= @t83 @t1707)) % 45.25/45.42 (define @t1718 () (= @t1160 @t1707)) % 45.25/45.42 (define @t1719 () (tptp.class_Rings_Ono__zero__divisors @t35)) % 45.25/45.42 (define @t1720 () (not @t1716)) % 45.25/45.42 (define @t1721 () (not @t1717)) % 45.25/45.42 (define @t1722 () (= @t171 @t1704)) % 45.25/45.42 (define @t1723 () (tptp.hAPP @t1137 @t171)) % 45.25/45.42 (define @t1724 () (tptp.class_Rings_Omult__zero @t35)) % 45.25/45.42 (define @t1725 () (= @t697 @t1704)) % 45.25/45.42 (define @t1726 () (tptp.class_Rings_Ozero__neq__one @t35)) % 45.25/45.42 (define @t1727 () (@var "V_nat_H_1" $$unsorted)) % 45.25/45.42 (define @t1728 () (@var "V_nat_H" $$unsorted)) % 45.25/45.42 (define @t1729 () (tptp.hBOOL (tptp.hAPP @t1703 @t1254))) % 45.25/45.42 (define @t1730 () (= @t1254 @t1700)) % 45.25/45.42 (define @t1731 () (not @t1730)) % 45.25/45.42 (define @t1732 () (tptp.hBOOL (tptp.hAPP @t1703 @t445))) % 45.25/45.42 (define @t1733 () (= @t445 @t1700)) % 45.25/45.42 (define @t1734 () (not @t1733)) % 45.25/45.42 (define @t1735 () (@list @t445)) % 45.25/45.42 (define @t1736 () (= @t402 @t1700)) % 45.25/45.42 (define @t1737 () (tptp.hAPP @t1297 @t445)) % 45.25/45.42 (define @t1738 () (= @t1257 @t1700)) % 45.25/45.42 (define @t1739 () (= @t160 @t1700)) % 45.25/45.42 (define @t1740 () (or @t1263 @t1739)) % 45.25/45.42 (define @t1741 () (tptp.hAPP @t1264 @t445)) % 45.25/45.42 (define @t1742 () (tptp.hAPP @t1741 @t160)) % 45.25/45.42 (define @t1743 () (tptp.hAPP @t1634 @t160)) % 45.25/45.42 (define @t1744 () (tptp.hAPP @t1264 @t160)) % 45.25/45.42 (define @t1745 () (tptp.hAPP @t1744 @t445)) % 45.25/45.42 (define @t1746 () (tptp.hAPP @t1744 @t402)) % 45.25/45.42 (define @t1747 () (= @t1746 @t1745)) % 45.25/45.42 (define @t1748 () (= @t99 @t1704)) % 45.25/45.42 (define @t1749 () (and @t1705 @t1748)) % 45.25/45.42 (define @t1750 () (tptp.hAPP (tptp.hAPP @t1130 @t1655) (tptp.hAPP (tptp.hAPP @t1111 @t99) @t99))) % 45.25/45.42 (define @t1751 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 45.25/45.42 (define @t1752 () (tptp.hAPP @t1421 @t1254)) % 45.25/45.42 (define @t1753 () (tptp.hAPP @t1589 @t1700)) % 45.25/45.42 (define @t1754 () (tptp.hAPP @t1753 @t1588)) % 45.25/45.42 (define @t1755 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1700)) % 45.25/45.42 (define @t1756 () (tptp.hAPP @t2 @t1700)) % 45.25/45.42 (define @t1757 () (tptp.hAPP @t1154 @t66)) % 45.25/45.42 (define @t1758 () (tptp.hAPP (tptp.hAPP @t1161 @t1159) (tptp.hAPP @t1757 @t66))) % 45.25/45.42 (define @t1759 () (tptp.hAPP @t36 @t1707)) % 45.25/45.42 (define @t1760 () (tptp.class_Rings_Olinordered__ring @t35)) % 45.25/45.42 (define @t1761 () (not @t1748)) % 45.25/45.42 (define @t1762 () (or (not @t1705) @t1761)) % 45.25/45.42 (define @t1763 () (tptp.hAPP @t435 @t1704)) % 45.25/45.42 (define @t1764 () (tptp.hBOOL (tptp.hAPP @t89 @t1707))) % 45.25/45.42 (define @t1765 () (tptp.hBOOL (tptp.hAPP @t92 @t1707))) % 45.25/45.42 (define @t1766 () (tptp.class_Groups_Oordered__comm__monoid__add @t35)) % 45.25/45.42 (define @t1767 () (tptp.hBOOL (tptp.hAPP @t89 @t1179))) % 45.25/45.42 (define @t1768 () (tptp.hBOOL (tptp.hAPP @t1759 @t84))) % 45.25/45.42 (define @t1769 () (@list @t83 @t87 @t84 @t35)) % 45.25/45.42 (define @t1770 () (tptp.hBOOL (tptp.hAPP @t1759 @t83))) % 45.25/45.42 (define @t1771 () (tptp.hAPP @t1130 @t49)) % 45.25/45.42 (define @t1772 () (tptp.hAPP @t1771 @t99)) % 45.25/45.42 (define @t1773 () (tptp.hAPP @t101 @t1704)) % 45.25/45.42 (define @t1774 () (tptp.hBOOL (tptp.hAPP @t1759 @t87))) % 45.25/45.42 (define @t1775 () (tptp.hBOOL (tptp.hAPP @t188 @t1704))) % 45.25/45.42 (define @t1776 () (tptp.hBOOL (tptp.hAPP @t1773 @t153))) % 45.25/45.42 (define @t1777 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1160) @t1707))) % 45.25/45.42 (define @t1778 () (tptp.class_Rings_Oordered__cancel__semiring @t35)) % 45.25/45.42 (define @t1779 () (tptp.hBOOL (tptp.hAPP @t1759 @t1160))) % 45.25/45.42 (define @t1780 () (tptp.class_Rings_Oordered__ring @t35)) % 45.25/45.42 (define @t1781 () (tptp.hAPP @t1169 @t368)) % 45.25/45.42 (define @t1782 () (tptp.hAPP @t36 @t1185)) % 45.25/45.42 (define @t1783 () (=> @t1768 (tptp.hBOOL (tptp.hAPP @t1782 @t1781)))) % 45.25/45.42 (define @t1784 () (tptp.class_Rings_Oordered__semiring @t35)) % 45.25/45.42 (define @t1785 () (tptp.hAPP @t1154 @t84)) % 45.25/45.42 (define @t1786 () (tptp.hAPP @t1785 @t87)) % 45.25/45.42 (define @t1787 () (tptp.hAPP @t1785 @t83)) % 45.25/45.42 (define @t1788 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1787) @t1786))) % 45.25/45.42 (define @t1789 () (tptp.hBOOL (tptp.hAPP @t85 @t1707))) % 45.25/45.42 (define @t1790 () (tptp.hBOOL (tptp.hAPP @t1782 @t1170))) % 45.25/45.42 (define @t1791 () (=> @t94 (=> @t1768 @t1788))) % 45.25/45.42 (define @t1792 () (tptp.hBOOL (tptp.hAPP @t1773 @t171))) % 45.25/45.42 (define @t1793 () (tptp.hBOOL (tptp.hAPP @t172 @t1704))) % 45.25/45.42 (define @t1794 () (or (and @t1776 @t1793) (and @t1775 @t1792))) % 45.25/45.42 (define @t1795 () (or (and @t1776 @t1792) (and @t1775 @t1793))) % 45.25/45.42 (define @t1796 () (tptp.hBOOL (tptp.hAPP @t461 @t1179))) % 45.25/45.42 (define @t1797 () (=> @t466 @t1796)) % 45.25/45.42 (define @t1798 () (tptp.hAPP @t447 @t1707)) % 45.25/45.42 (define @t1799 () (tptp.hBOOL (tptp.hAPP @t1798 @t83))) % 45.25/45.42 (define @t1800 () (tptp.hBOOL (tptp.hAPP @t1763 @t153))) % 45.25/45.42 (define @t1801 () (tptp.hBOOL (tptp.hAPP @t515 @t1704))) % 45.25/45.42 (define @t1802 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1713) @t1704)) @t1801)) % 45.25/45.42 (define @t1803 () (tptp.hBOOL (tptp.hAPP @t1798 @t1165))) % 45.25/45.42 (define @t1804 () (tptp.hBOOL (tptp.hAPP @t1798 @t87))) % 45.25/45.42 (define @t1805 () (=> @t1804 @t1803)) % 45.25/45.42 (define @t1806 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1165) @t1707))) % 45.25/45.42 (define @t1807 () (tptp.hBOOL (tptp.hAPP @t461 @t1707))) % 45.25/45.42 (define @t1808 () (=> @t1807 @t1806)) % 45.25/45.42 (define @t1809 () (tptp.hBOOL (tptp.hAPP @t463 @t1707))) % 45.25/45.42 (define @t1810 () (tptp.hBOOL (tptp.hAPP @t488 @t1704))) % 45.25/45.42 (define @t1811 () (tptp.hBOOL (tptp.hAPP @t1763 @t174))) % 45.25/45.42 (define @t1812 () (or (and @t1811 @t519) (and @t1810 @t536))) % 45.25/45.42 (define @t1813 () (tptp.hAPP @t435 @t1427)) % 45.25/45.42 (define @t1814 () (tptp.hAPP @t1111 @t174)) % 45.25/45.42 (define @t1815 () (tptp.hAPP @t1814 @t171)) % 45.25/45.42 (define @t1816 () (tptp.hAPP @t1814 @t153)) % 45.25/45.42 (define @t1817 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1816) @t1815))) % 45.25/45.42 (define @t1818 () (tptp.hBOOL (tptp.hAPP @t1798 @t1160))) % 45.25/45.42 (define @t1819 () (tptp.class_Rings_Olinordered__semiring__strict @t35)) % 45.25/45.42 (define @t1820 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1160) @t1707))) % 45.25/45.42 (define @t1821 () (=> @t1799 @t1804)) % 45.25/45.42 (define @t1822 () (tptp.class_Rings_Olinordered__ring__strict @t35)) % 45.25/45.42 (define @t1823 () (tptp.hAPP @t447 @t1185)) % 45.25/45.42 (define @t1824 () (tptp.hBOOL (tptp.hAPP @t1823 @t1170))) % 45.25/45.42 (define @t1825 () (tptp.hBOOL (tptp.hAPP @t1798 @t84))) % 45.25/45.42 (define @t1826 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1787) @t1786))) % 45.25/45.42 (define @t1827 () (=> @t465 (=> @t1825 @t1826))) % 45.25/45.42 (define @t1828 () (tptp.hBOOL (tptp.hAPP @t459 @t1707))) % 45.25/45.42 (define @t1829 () (@var "V_r" $$unsorted)) % 45.25/45.42 (define @t1830 () (tptp.hAPP @t1154 @t1829)) % 45.25/45.42 (define @t1831 () (tptp.hAPP @t36 @t1597)) % 45.25/45.42 (define @t1832 () (tptp.class_Rings_Olinordered__idom @t10)) % 45.25/45.42 (define @t1833 () (= (tptp.hAPP @t1223 @t83) @t1707)) % 45.25/45.42 (define @t1834 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t40 @t10)) % 45.25/45.42 (define @t1835 () (tptp.hAPP @t1834 @t2)) % 45.25/45.42 (define @t1836 () (tptp.hAPP @t1834 @t1)) % 45.25/45.42 (define @t1837 () (tptp.c_Groups_Ozero__class_Ozero @t40)) % 45.25/45.42 (define @t1838 () (=> @t1668 (= @t1103 @t1837))) % 45.25/45.42 (define @t1839 () (tptp.hBOOL (tptp.hAPP @t1703 @t5))) % 45.25/45.42 (define @t1840 () (forall @t7 (=> @t526 @t1839))) % 45.25/45.42 (define @t1841 () (tptp.hBOOL (tptp.hAPP @t1703 (tptp.hAPP @t1626 @t525)))) % 45.25/45.42 (define @t1842 () (@list @t2 @t525 @t10)) % 45.25/45.42 (define @t1843 () (= @t5 @t1837)) % 45.25/45.42 (define @t1844 () (exists @t7 (and @t205 @t1843))) % 45.25/45.42 (define @t1845 () (= @t1503 @t1837)) % 45.25/45.42 (define @t1846 () (tptp.class_Rings_Ocomm__semiring__1 @t40)) % 45.25/45.42 (define @t1847 () (= @t445 (tptp.hAPP tptp.c_Nat_OSuc @t1189))) % 45.25/45.42 (define @t1848 () (@var "B_j" $$unsorted)) % 45.25/45.42 (define @t1849 () (tptp.hAPP @t1323 @t1848)) % 45.25/45.42 (define @t1850 () (@list @t1848)) % 45.25/45.42 (define @t1851 () (= @t445 @t1701)) % 45.25/45.42 (define @t1852 () (= @t402 @t1701)) % 45.25/45.42 (define @t1853 () (or (and @t1852 @t1733) (and @t1736 @t1851))) % 45.25/45.42 (define @t1854 () (tptp.hBOOL (tptp.hAPP @t1703 @t402))) % 45.25/45.42 (define @t1855 () (= @t1529 @t1700)) % 45.25/45.42 (define @t1856 () (=> @t1668 @t1855)) % 45.25/45.42 (define @t1857 () (tptp.hBOOL (tptp.hAPP @t1703 @t1255))) % 45.25/45.42 (define @t1858 () (tptp.hAPP @t1246 @t402)) % 45.25/45.42 (define @t1859 () (tptp.hBOOL (tptp.hAPP @t1703 @t1258))) % 45.25/45.42 (define @t1860 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1746) @t1745))) % 45.25/45.42 (define @t1861 () (tptp.hBOOL (tptp.hAPP @t1703 @t160))) % 45.25/45.42 (define @t1862 () (and @t1861 @t1345)) % 45.25/45.42 (define @t1863 () (tptp.hAPP @t1248 @t445)) % 45.25/45.42 (define @t1864 () (= @t1255 @t1700)) % 45.25/45.42 (define @t1865 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t1866 () (tptp.hAPP @t1865 @t2)) % 45.25/45.42 (define @t1867 () (tptp.hAPP @t1285 @t445)) % 45.25/45.42 (define @t1868 () (tptp.hAPP @t1285 @t1604)) % 45.25/45.42 (define @t1869 () (tptp.hAPP @t1755 @t445)) % 45.25/45.42 (define @t1870 () (tptp.hAPP @t1288 @t445)) % 45.25/45.42 (define @t1871 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1700 @t445)) % 45.25/45.42 (define @t1872 () (tptp.hAPP @t1259 @t1569)) % 45.25/45.42 (define @t1873 () (tptp.hAPP tptp.c_Nat_OSuc @t1872)) % 45.25/45.42 (define @t1874 () (not @t1864)) % 45.25/45.42 (define @t1875 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1816) @t1815))) % 45.25/45.42 (define @t1876 () (tptp.hBOOL (tptp.hAPP @t1823 @t1781))) % 45.25/45.42 (define @t1877 () (=> @t1768 @t1876)) % 45.25/45.42 (define @t1878 () (=> @t1768 @t465)) % 45.25/45.42 (define @t1879 () (=> @t1824 @t1878)) % 45.25/45.42 (define @t1880 () (tptp.class_Rings_Olinordered__semiring @t35)) % 45.25/45.42 (define @t1881 () (=> @t1826 @t1878)) % 45.25/45.42 (define @t1882 () (=> @t1825 @t94)) % 45.25/45.42 (define @t1883 () (tptp.hAPP @t1757 @t34)) % 45.25/45.42 (define @t1884 () (tptp.hBOOL (tptp.hAPP @t67 @t1597))) % 45.25/45.42 (define @t1885 () (tptp.hBOOL (tptp.hAPP @t1759 @t66))) % 45.25/45.42 (define @t1886 () (tptp.hBOOL (tptp.hAPP @t1759 @t34))) % 45.25/45.42 (define @t1887 () (tptp.hBOOL (tptp.hAPP @t1703 @t1529))) % 45.25/45.42 (define @t1888 () (tptp.hAPP @t1323 @t1701)) % 45.25/45.42 (define @t1889 () (tptp.hBOOL (tptp.hAPP @t1888 @t1255))) % 45.25/45.42 (define @t1890 () (tptp.hBOOL (tptp.hAPP @t1888 @t1254))) % 45.25/45.42 (define @t1891 () (@var "B_d" $$unsorted)) % 45.25/45.42 (define @t1892 () (tptp.hAPP @t58 @t1891)) % 45.25/45.42 (define @t1893 () (tptp.hBOOL @t1892)) % 45.25/45.42 (define @t1894 () (= @t153 (tptp.hAPP (tptp.hAPP @t1144 @t171) @t1891))) % 45.25/45.42 (define @t1895 () (@list @t1891)) % 45.25/45.42 (define @t1896 () (tptp.hBOOL (tptp.hAPP @t58 @t1700))) % 45.25/45.42 (define @t1897 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t153) @t171))) % 45.25/45.42 (define @t1898 () (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t1091 @t153) @t171)))) % 45.25/45.42 (define @t1899 () (@list @t171 @t153 @t58)) % 45.25/45.42 (define @t1900 () (not @t1896)) % 45.25/45.42 (define @t1901 () (tptp.hAPP @t1080 @t1701)) % 45.25/45.42 (define @t1902 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1746) @t1745))) % 45.25/45.42 (define @t1903 () (=> @t1861 @t1084)) % 45.25/45.42 (define @t1904 () (forall @t384 (=> @t690 (=> @t382 (= @t689 @t1700))))) % 45.25/45.42 (define @t1905 () (@var "V_v" $$unsorted)) % 45.25/45.42 (define @t1906 () (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP (tptp.hAPP @t1154 @t1272) @t34)) (tptp.hAPP (tptp.hAPP @t1154 @t1905) @t66))) % 45.25/45.42 (define @t1907 () (= (tptp.hAPP (tptp.hAPP @t1161 @t1272) @t1905) @t1597)) % 45.25/45.42 (define @t1908 () (tptp.hBOOL (tptp.hAPP @t1759 @t1905))) % 45.25/45.42 (define @t1909 () (tptp.hBOOL (tptp.hAPP @t1759 @t1272))) % 45.25/45.42 (define @t1910 () (@list @t1905 @t1272 @t66 @t83 @t34 @t35)) % 45.25/45.42 (define @t1911 () (tptp.hAPP @t1074 @t1672)) % 45.25/45.42 (define @t1912 () (@list @t2 @t402 @t445 @t10)) % 45.25/45.42 (define @t1913 () (tptp.hAPP @t2 @t1604)) % 45.25/45.42 (define @t1914 () (tptp.hAPP @t1074 @t1674)) % 45.25/45.42 (define @t1915 () (tptp.hAPP @t1323 @t1604)) % 45.25/45.42 (define @t1916 () (tptp.hBOOL (tptp.hAPP @t1915 @t402))) % 45.25/45.42 (define @t1917 () (tptp.hBOOL (tptp.hAPP @t1191 @t1871))) % 45.25/45.42 (define @t1918 () (tptp.hBOOL (tptp.hAPP @t58 @t1189))) % 45.25/45.42 (define @t1919 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1189) @t445))) % 45.25/45.42 (define @t1920 () (@list @t58 @t445)) % 45.25/45.42 (define @t1921 () (tptp.hBOOL (tptp.hAPP @t1191 @t1869))) % 45.25/45.42 (define @t1922 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1189) @t445))) % 45.25/45.42 (define @t1923 () (= @t1569 @t1700)) % 45.25/45.42 (define @t1924 () (tptp.hAPP @t41 @t1061)) % 45.25/45.42 (define @t1925 () (tptp.hBOOL (tptp.hAPP @t1924 @t1097))) % 45.25/45.42 (define @t1926 () (@var "B_b" $$unsorted)) % 45.25/45.42 (define @t1927 () (tptp.hAPP @t41 @t1837)) % 45.25/45.42 (define @t1928 () (tptp.hAPP @t203 @t1926)) % 45.25/45.42 (define @t1929 () (@list @t1926)) % 45.25/45.42 (define @t1930 () (@list @t2 @t25 @t24 @t10 @t40)) % 45.25/45.42 (define @t1931 () (= (= @t1713 @t1704) @t1706)) % 45.25/45.42 (define @t1932 () (tptp.hAPP @t1060 @t1690)) % 45.25/45.42 (define @t1933 () (tptp.hAPP @t1060 @t525)) % 45.25/45.42 (define @t1934 () (@var "B_B" $$unsorted)) % 45.25/45.42 (define @t1935 () (tptp.hBOOL (tptp.hAPP @t1927 @t5))) % 45.25/45.42 (define @t1936 () (tptp.class_Groups_Oordered__ab__semigroup__add @t40)) % 45.25/45.42 (define @t1937 () (tptp.hAPP @t1130 @t1586)) % 45.25/45.42 (define @t1938 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1937 @t153)) @t153)) % 45.25/45.42 (define @t1939 () (tptp.c_Int_Oring__1__class_OInts @t10)) % 45.25/45.42 (define @t1940 () (tptp.hBOOL (tptp.hAPP @t851 @t1939))) % 45.25/45.42 (define @t1941 () (tptp.c_Sum__Type_OPlus @t10 @t40 @t25 @t24)) % 45.25/45.42 (define @t1942 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t789) @t1941)) % 45.25/45.42 (define @t1943 () (and @t675 @t798)) % 45.25/45.42 (define @t1944 () (= @t1942 (tptp.hAPP @t1551 @t1556))) % 45.25/45.42 (define @t1945 () (tptp.hAPP @t203 @t1704)) % 45.25/45.42 (define @t1946 () (tptp.class_Rings_Oring__1 @t10)) % 45.25/45.42 (define @t1947 () (tptp.hAPP @t203 @t1173)) % 45.25/45.42 (define @t1948 () (tptp.hBOOL (tptp.hAPP @t863 @t1939))) % 45.25/45.42 (define @t1949 () (tptp.hAPP @t203 @t1723)) % 45.25/45.42 (define @t1950 () (tptp.hAPP @t203 @t1586)) % 45.25/45.42 (define @t1951 () (tptp.class_Int_Oring__char__0 @t10)) % 45.25/45.42 (define @t1952 () (tptp.hBOOL (tptp.hAPP @t792 @t1941))) % 45.25/45.42 (define @t1953 () (@list @t24 @t25 @t40 @t10)) % 45.25/45.42 (define @t1954 () (= @t24 @t573)) % 45.25/45.42 (define @t1955 () (tptp.hAPP @t1502 @t743)) % 45.25/45.42 (define @t1956 () (tptp.c_Rings_Oinverse__class_Odivide @t40)) % 45.25/45.42 (define @t1957 () (tptp.hAPP @t1956 @t1503)) % 45.25/45.42 (define @t1958 () (tptp.class_Fields_Ofield @t40)) % 45.25/45.42 (define @t1959 () (tptp.c_Finite__Set_Ofold__image @t40 @t10 @t1459)) % 45.25/45.42 (define @t1960 () (tptp.hAPP @t1959 @t1)) % 45.25/45.42 (define @t1961 () (tptp.hAPP @t1960 @t1667)) % 45.25/45.42 (define @t1962 () (tptp.hAPP @t1961 @t25)) % 45.25/45.42 (define @t1963 () (tptp.hAPP @t1459 @t1962)) % 45.25/45.42 (define @t1964 () (tptp.hAPP @t1963 (tptp.hAPP @t1961 @t24))) % 45.25/45.42 (define @t1965 () (tptp.hAPP @t1961 @t251)) % 45.25/45.42 (define @t1966 () (@var "B_i" $$unsorted)) % 45.25/45.42 (define @t1967 () (tptp.hAPP @t58 @t1966)) % 45.25/45.42 (define @t1968 () (tptp.hBOOL @t1967)) % 45.25/45.42 (define @t1969 () (tptp.hAPP @t1080 @t1966)) % 45.25/45.42 (define @t1970 () (@list @t1966)) % 45.25/45.42 (define @t1971 () (tptp.hBOOL @t1477)) % 45.25/45.42 (define @t1972 () (@list @t445 @t58)) % 45.25/45.42 (define @t1973 () (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP (tptp.hAPP @t686 @t1690) @t525)))) % 45.25/45.42 (define @t1974 () (forall @t7 (=> @t1973 @t1694))) % 45.25/45.42 (define @t1975 () (tptp.hAPP @t28 @t525)) % 45.25/45.42 (define @t1976 () (tptp.hBOOL (tptp.hAPP @t1975 @t1690))) % 45.25/45.42 (define @t1977 () (@list @t2 @t525 @t1690 @t10 @t40)) % 45.25/45.42 (define @t1978 () (tptp.c_Rings_Oinverse__class_Odivide @t35)) % 45.25/45.42 (define @t1979 () (tptp.class_Rings_Odivision__ring @t35)) % 45.25/45.42 (define @t1980 () (tptp.hAPP @t1978 @t83)) % 45.25/45.42 (define @t1981 () (tptp.class_Rings_Odivision__ring__inverse__zero @t35)) % 45.25/45.42 (define @t1982 () (tptp.hAPP (tptp.hAPP @t1978 @t87) @t84)) % 45.25/45.42 (define @t1983 () (tptp.hAPP @t1980 @t84)) % 45.25/45.42 (define @t1984 () (tptp.hAPP @t1978 @t1165)) % 45.25/45.42 (define @t1985 () (tptp.hAPP @t1978 @t222)) % 45.25/45.42 (define @t1986 () (tptp.hAPP @t1980 @t87)) % 45.25/45.42 (define @t1987 () (tptp.hAPP @t214 @t1986)) % 45.25/45.42 (define @t1988 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t10 @t40 @t2) @t1)) % 45.25/45.42 (define @t1989 () (tptp.hAPP @t1988 @t348)) % 45.25/45.42 (define @t1990 () (= @t1427 @t171)) % 45.25/45.42 (define @t1991 () (tptp.c_Rings_Oinverse__class_Odivide @t10)) % 45.25/45.42 (define @t1992 () (tptp.hAPP @t1991 @t171)) % 45.25/45.42 (define @t1993 () (tptp.hAPP @t1992 @t174)) % 45.25/45.42 (define @t1994 () (= @t153 @t1993)) % 45.25/45.42 (define @t1995 () (= @t174 @t1704)) % 45.25/45.42 (define @t1996 () (not @t1995)) % 45.25/45.42 (define @t1997 () (tptp.class_Rings_Odivision__ring @t10)) % 45.25/45.42 (define @t1998 () (= @t171 @t1427)) % 45.25/45.42 (define @t1999 () (= @t1993 @t153)) % 45.25/45.42 (define @t2000 () (@list @t153 @t171 @t174 @t10)) % 45.25/45.42 (define @t2001 () (= @t84 @t1707)) % 45.25/45.42 (define @t2002 () (not @t2001)) % 45.25/45.42 (define @t2003 () (tptp.hAPP (tptp.hAPP @t1991 @t153) @t171)) % 45.25/45.42 (define @t2004 () (tptp.hAPP @t1980 @t83)) % 45.25/45.42 (define @t2005 () (=> @t1721 (= @t2004 @t1597))) % 45.25/45.42 (define @t2006 () (= @t1987 (tptp.hAPP @t1980 @t223))) % 45.25/45.42 (define @t2007 () (= (tptp.hAPP @t1985 @t223) @t1986)) % 45.25/45.42 (define @t2008 () (tptp.hAPP @t1989 @t25)) % 45.25/45.42 (define @t2009 () (tptp.hAPP @t1960 @t348)) % 45.25/45.42 (define @t2010 () (tptp.hAPP @t2009 @t25)) % 45.25/45.42 (define @t2011 () (tptp.class_Groups_Oab__semigroup__mult @t40)) % 45.25/45.42 (define @t2012 () (=> @t675 (= @t1103 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t40 @t10 @t1106) @t1) @t1837) @t25)))) % 45.25/45.42 (define @t2013 () (=> @t675 (= @t1462 @t1962))) % 45.25/45.42 (define @t2014 () (tptp.hAPP @t1978 @t84)) % 45.25/45.42 (define @t2015 () (tptp.hAPP @t2014 @t87)) % 45.25/45.42 (define @t2016 () (tptp.hAPP @t2014 @t83)) % 45.25/45.42 (define @t2017 () (=> @t1818 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2016) @t2015)))) % 45.25/45.42 (define @t2018 () (tptp.class_Fields_Olinordered__field__inverse__zero @t35)) % 45.25/45.42 (define @t2019 () (tptp.class_Fields_Olinordered__field @t35)) % 45.25/45.42 (define @t2020 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1427) @t171))) % 45.25/45.42 (define @t2021 () (tptp.hAPP @t101 @t1993)) % 45.25/45.42 (define @t2022 () (tptp.hBOOL (tptp.hAPP @t2021 @t153))) % 45.25/45.42 (define @t2023 () (tptp.class_Fields_Olinordered__field @t10)) % 45.25/45.42 (define @t2024 () (tptp.hBOOL (tptp.hAPP @t172 @t1427))) % 45.25/45.42 (define @t2025 () (tptp.hBOOL (tptp.hAPP @t188 @t1993))) % 45.25/45.42 (define @t2026 () (tptp.hAPP @t1978 @t34)) % 45.25/45.42 (define @t2027 () (tptp.hAPP @t2026 @t66)) % 45.25/45.42 (define @t2028 () (tptp.hAPP @t1154 @t72)) % 45.25/45.42 (define @t2029 () (tptp.hAPP @t2028 @t66)) % 45.25/45.42 (define @t2030 () (tptp.hBOOL (tptp.hAPP @t1798 @t66))) % 45.25/45.42 (define @t2031 () (tptp.hAPP @t36 @t2027)) % 45.25/45.42 (define @t2032 () (@var "V_w" $$unsorted)) % 45.25/45.42 (define @t2033 () (tptp.class_Fields_Ofield__inverse__zero @t35)) % 45.25/45.42 (define @t2034 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 45.25/45.42 (define @t2035 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1983) @t1982))) % 45.25/45.42 (define @t2036 () (tptp.hBOOL (tptp.hAPP @t1798 @t2027))) % 45.25/45.42 (define @t2037 () (tptp.hBOOL (tptp.hAPP @t448 @t1707))) % 45.25/45.42 (define @t2038 () (tptp.hBOOL (tptp.hAPP @t451 @t1707))) % 45.25/45.42 (define @t2039 () (tptp.hAPP @t447 @t2027)) % 45.25/45.42 (define @t2040 () (tptp.hBOOL (tptp.hAPP @t2039 @t1707))) % 45.25/45.42 (define @t2041 () (tptp.hBOOL (tptp.hAPP @t1798 @t34))) % 45.25/45.42 (define @t2042 () (tptp.hBOOL (tptp.hAPP @t1763 @t171))) % 45.25/45.42 (define @t2043 () (tptp.hBOOL (tptp.hAPP @t487 @t1704))) % 45.25/45.42 (define @t2044 () (=> @t1995 @t1706)) % 45.25/45.42 (define @t2045 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 45.25/45.42 (define @t2046 () (@list @t153 @t174 @t171 @t10)) % 45.25/45.42 (define @t2047 () (= @t348 @t1704)) % 45.25/45.42 (define @t2048 () (tptp.class_Fields_Ofield @t10)) % 45.25/45.42 (define @t2049 () (tptp.hBOOL (tptp.hAPP @t1759 @t2027))) % 45.25/45.42 (define @t2050 () (tptp.hBOOL (tptp.hAPP @t2031 @t1707))) % 45.25/45.42 (define @t2051 () (tptp.hAPP @t1978 @t66)) % 45.25/45.42 (define @t2052 () (tptp.hAPP @t2051 @t2032)) % 45.25/45.42 (define @t2053 () (tptp.hAPP @t2026 @t72)) % 45.25/45.42 (define @t2054 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2053) @t2052))) % 45.25/45.42 (define @t2055 () (tptp.hBOOL (tptp.hAPP @t1798 @t2032))) % 45.25/45.42 (define @t2056 () (@list @t72 @t2032 @t66 @t34 @t35)) % 45.25/45.42 (define @t2057 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2032) @t72))) % 45.25/45.42 (define @t2058 () (tptp.hBOOL (tptp.hAPP @t37 @t1707))) % 45.25/45.42 (define @t2059 () (=> @t1818 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2016) @t2015)))) % 45.25/45.42 (define @t2060 () (tptp.hBOOL (tptp.hAPP @t1813 @t171))) % 45.25/45.42 (define @t2061 () (tptp.hAPP @t435 @t1993)) % 45.25/45.42 (define @t2062 () (tptp.hBOOL (tptp.hAPP @t2061 @t153))) % 45.25/45.42 (define @t2063 () (tptp.hBOOL (tptp.hAPP @t487 @t1427))) % 45.25/45.42 (define @t2064 () (tptp.hBOOL (tptp.hAPP @t515 @t1993))) % 45.25/45.42 (define @t2065 () (not @t1810)) % 45.25/45.42 (define @t2066 () (not @t1811)) % 45.25/45.42 (define @t2067 () (tptp.hAPP @t1978 (tptp.hAPP @t1232 @t2029))) % 45.25/45.42 (define @t2068 () (tptp.hAPP @t2067 @t66)) % 45.25/45.42 (define @t2069 () (tptp.hAPP @t1161 @t72)) % 45.25/45.42 (define @t2070 () (not (= @t66 @t1707))) % 45.25/45.42 (define @t2071 () (tptp.hAPP @t2028 @t34)) % 45.25/45.42 (define @t2072 () (tptp.hAPP @t2051 @t72)) % 45.25/45.42 (define @t2073 () (not (= @t72 @t1707))) % 45.25/45.42 (define @t2074 () (tptp.class_Fields_Ofield @t35)) % 45.25/45.42 (define @t2075 () (@list @t66 @t34 @t72 @t35)) % 45.25/45.42 (define @t2076 () (tptp.hAPP @t1161 @t2027)) % 45.25/45.42 (define @t2077 () (tptp.hAPP @t1757 @t72)) % 45.25/45.42 (define @t2078 () (tptp.hAPP (tptp.hAPP @t1154 @t2032) @t66)) % 45.25/45.42 (define @t2079 () (tptp.hAPP (tptp.hAPP @t1978 @t2032) @t72)) % 45.25/45.42 (define @t2080 () (@list @t2032 @t34 @t72 @t66 @t35)) % 45.25/45.42 (define @t2081 () (tptp.hAPP @t1984 @t1651)) % 45.25/45.42 (define @t2082 () (tptp.hAPP @t757 @t1)) % 45.25/45.42 (define @t2083 () (tptp.hAPP @t2082 @t25)) % 45.25/45.42 (define @t2084 () (=> (not @t801) (= @t2083 @t348))) % 45.25/45.42 (define @t2085 () (=> @t801 (= @t2083 @t2008))) % 45.25/45.42 (define @t2086 () (tptp.c_Big__Operators_Ocomm__monoid__big @t10 @t40 @t2 @t348 @t757)) % 45.25/45.42 (define @t2087 () (@list @t1 @t25 @t757 @t348 @t2 @t40 @t10)) % 45.25/45.42 (define @t2088 () (tptp.hAPP @t1502 @t24)) % 45.25/45.42 (define @t2089 () (tptp.hAPP (tptp.hAPP @t1959 @t2) @t1667)) % 45.25/45.42 (define @t2090 () (tptp.hAPP @t2089 @t525)) % 45.25/45.42 (define @t2091 () (forall @t7 (=> @t1973 @t1843))) % 45.25/45.42 (define @t2092 () (@var "B_z" $$unsorted)) % 45.25/45.42 (define @t2093 () (@list @t2092)) % 45.25/45.42 (define @t2094 () (tptp.c_Groups_Osgn__class_Osgn @t35 @t83)) % 45.25/45.42 (define @t2095 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t153)) % 45.25/45.42 (define @t2096 () (tptp.c_Groups_Osgn__class_Osgn @t35 @t34)) % 45.25/45.42 (define @t2097 () (= @t34 @t1707)) % 45.25/45.42 (define @t2098 () (tptp.class_Groups_Osgn__if @t35)) % 45.25/45.42 (define @t2099 () (@var "V_a3_2" $$unsorted)) % 45.25/45.42 (define @t2100 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t1038 @t1040)) % 45.25/45.42 (define @t2101 () (tptp.hAPP @t1039 @t1040)) % 45.25/45.42 (define @t2102 () (@var "V_a2_2" $$unsorted)) % 45.25/45.42 (define @t2103 () (@var "V_a1_2" $$unsorted)) % 45.25/45.42 (define @t2104 () (tptp.hAPP @t440 @t2103)) % 45.25/45.42 (define @t2105 () (tptp.hAPP @t2104 @t2102)) % 45.25/45.42 (define @t2106 () (tptp.hAPP @t493 @t877)) % 45.25/45.42 (define @t2107 () (@var "V_v_2" $$unsorted)) % 45.25/45.42 (define @t2108 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t40 @t2)) % 45.25/45.42 (define @t2109 () (tptp.c_Finite__Set_Ocard @t27)) % 45.25/45.42 (define @t2110 () (@var "B_c2" $$unsorted)) % 45.25/45.42 (define @t2111 () (@var "B_c1" $$unsorted)) % 45.25/45.42 (define @t2112 () (@var "B_c" $$unsorted)) % 45.25/45.42 (define @t2113 () (tptp.hAPP tptp.c_Nat_OSuc @t1701)) % 45.25/45.42 (define @t2114 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t2115 () (tptp.hAPP @t2114 @t2113)) % 45.25/45.42 (define @t2116 () (@list @t2 @t525 @t10 @t40)) % 45.25/45.42 (define @t2117 () (@list @t174 @t171 @t25 @t10)) % 45.25/45.42 (define @t2118 () (tptp.hAPP @t1959 @t761)) % 45.25/45.42 (define @t2119 () (= @t4 @t836)) % 45.25/45.42 (define @t2120 () (@var "V_q" $$unsorted)) % 45.25/45.42 (define @t2121 () (tptp.c_Power_Opower__class_Opower @t35)) % 45.25/45.42 (define @t2122 () (tptp.hAPP @t2121 @t66)) % 45.25/45.42 (define @t2123 () (tptp.hAPP @t2121 @t34)) % 45.25/45.42 (define @t2124 () (tptp.hAPP @t2123 @t2120)) % 45.25/45.42 (define @t2125 () (tptp.hAPP @t1154 @t2124)) % 45.25/45.42 (define @t2126 () (@var "V_p" $$unsorted)) % 45.25/45.42 (define @t2127 () (tptp.hAPP @t1264 @t2126)) % 45.25/45.42 (define @t2128 () (tptp.hAPP @t2123 @t2126)) % 45.25/45.42 (define @t2129 () (@list @t2120 @t2126 @t34 @t35)) % 45.25/45.42 (define @t2130 () (tptp.hAPP @t1158 @t2124)) % 45.25/45.42 (define @t2131 () (tptp.hAPP @t2123 (tptp.hAPP tptp.c_Nat_OSuc @t2120))) % 45.25/45.42 (define @t2132 () (@list @t2120 @t34 @t35)) % 45.25/45.42 (define @t2133 () (tptp.c_Power_Opower__class_Opower @t10)) % 45.25/45.42 (define @t2134 () (tptp.hAPP @t2133 @t153)) % 45.25/45.42 (define @t2135 () (tptp.hAPP @t2134 @t445)) % 45.25/45.42 (define @t2136 () (@list @t445 @t153 @t10)) % 45.25/45.42 (define @t2137 () (tptp.hAPP @t2114 @t2126)) % 45.25/45.42 (define @t2138 () (tptp.hAPP @t2137 @t1255)) % 45.25/45.42 (define @t2139 () (tptp.hAPP @t2121 @t87)) % 45.25/45.42 (define @t2140 () (tptp.hAPP @t2139 @t1254)) % 45.25/45.42 (define @t2141 () (tptp.hAPP @t2121 @t83)) % 45.25/45.42 (define @t2142 () (tptp.hAPP @t2141 @t1254)) % 45.25/45.42 (define @t2143 () (tptp.hAPP @t447 @t2142)) % 45.25/45.42 (define @t2144 () (tptp.hBOOL (tptp.hAPP @t2143 @t2140))) % 45.25/45.42 (define @t2145 () (@list @t1254 @t87 @t83 @t35)) % 45.25/45.42 (define @t2146 () (tptp.hAPP @t2141 @t1255)) % 45.25/45.42 (define @t2147 () (tptp.hBOOL (tptp.hAPP @t1646 @t83))) % 45.25/45.42 (define @t2148 () (@list @t1254 @t83 @t35)) % 45.25/45.42 (define @t2149 () (@list @t1254 @t1255 @t83 @t35)) % 45.25/45.42 (define @t2150 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t49) @t99))) % 45.25/45.42 (define @t2151 () (tptp.hAPP @t2133 @t171)) % 45.25/45.42 (define @t2152 () (tptp.hAPP @t2151 @t99)) % 45.25/45.42 (define @t2153 () (tptp.hAPP @t2151 @t49)) % 45.25/45.42 (define @t2154 () (tptp.hAPP @t435 @t1586)) % 45.25/45.42 (define @t2155 () (tptp.hBOOL (tptp.hAPP @t2154 @t171))) % 45.25/45.42 (define @t2156 () (tptp.class_Rings_Olinordered__semidom @t10)) % 45.25/45.42 (define @t2157 () (@list @t99 @t49 @t171 @t10)) % 45.25/45.42 (define @t2158 () (@var "V_N" $$unsorted)) % 45.25/45.42 (define @t2159 () (tptp.hAPP @t2141 @t2158)) % 45.25/45.42 (define @t2160 () (tptp.hBOOL (tptp.hAPP @t1379 @t2158))) % 45.25/45.42 (define @t2161 () (@list @t83 @t2158 @t1254 @t35)) % 45.25/45.42 (define @t2162 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2163 () (tptp.hAPP @t2162 @t34)) % 45.25/45.42 (define @t2164 () (tptp.hAPP @t2163 @t66)) % 45.25/45.42 (define @t2165 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2166 () (tptp.hAPP @t1154 @t2142)) % 45.25/45.42 (define @t2167 () (tptp.hAPP @t1155 @t2142)) % 45.25/45.42 (define @t2168 () (tptp.hAPP @t2166 @t83)) % 45.25/45.42 (define @t2169 () (tptp.hAPP @t2121 @t1597)) % 45.25/45.42 (define @t2170 () (@list @t1254 @t35)) % 45.25/45.42 (define @t2171 () (= (tptp.hAPP (tptp.hAPP @t2121 @t1986) @t1254) (tptp.hAPP (tptp.hAPP @t1978 @t2142) @t2140))) % 45.25/45.42 (define @t2172 () (tptp.hAPP @t36 @t2142)) % 45.25/45.42 (define @t2173 () (tptp.class_Power_Opower @t10)) % 45.25/45.42 (define @t2174 () (tptp.hBOOL (tptp.hAPP @t1831 @t83))) % 45.25/45.42 (define @t2175 () (tptp.hAPP @t2121 @t1707)) % 45.25/45.42 (define @t2176 () (tptp.class_Power_Opower @t35)) % 45.25/45.42 (define @t2177 () (and @t2176 (tptp.class_Rings_Osemiring__0 @t35))) % 45.25/45.42 (define @t2178 () (tptp.hAPP @t2141 @t1574)) % 45.25/45.42 (define @t2179 () (tptp.hAPP @t1978 @t1597)) % 45.25/45.42 (define @t2180 () (tptp.hAPP @t2114 @t49)) % 45.25/45.42 (define @t2181 () (@list @t445 @t49)) % 45.25/45.42 (define @t2182 () (tptp.hAPP @t2114 @t1274)) % 45.25/45.42 (define @t2183 () (tptp.hAPP @t2182 @t1254)) % 45.25/45.42 (define @t2184 () (tptp.hAPP @t2182 @t1255)) % 45.25/45.42 (define @t2185 () (@list @t1254 @t1255 @t1274)) % 45.25/45.42 (define @t2186 () (@list @t87 @t1254 @t83 @t35)) % 45.25/45.42 (define @t2187 () (tptp.hAPP @t2139 @t1574)) % 45.25/45.42 (define @t2188 () (tptp.hAPP @t2175 @t1254)) % 45.25/45.42 (define @t2189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t49) @t99))) % 45.25/45.42 (define @t2190 () (tptp.hBOOL (tptp.hAPP @t1468 @t2158))) % 45.25/45.42 (define @t2191 () (tptp.hAPP @t2121 @t1657)) % 45.25/45.42 (define @t2192 () (tptp.hAPP @t2121 @t222)) % 45.25/45.42 (define @t2193 () (tptp.hAPP @t2192 @t1254)) % 45.25/45.42 (define @t2194 () (tptp.class_Rings_Oring__1 @t35)) % 45.25/45.42 (define @t2195 () (tptp.hBOOL (tptp.hAPP @t463 @t1597))) % 45.25/45.42 (define @t2196 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 45.25/45.42 (define @t2197 () (tptp.hAPP @t2196 @t1905)) % 45.25/45.42 (define @t2198 () (tptp.hAPP (tptp.hAPP @t1091 @t2197) @t1569)) % 45.25/45.42 (define @t2199 () (@list @t1905)) % 45.25/45.42 (define @t2200 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t10 @t40 @t2 @t348 @t1 @t757)) % 45.25/45.42 (define @t2201 () (@list @t62 @t25 @t10)) % 45.25/45.42 (define @t2202 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2203 () (tptp.hAPP @t2165 @t72)) % 45.25/45.42 (define @t2204 () (@list @t72)) % 45.25/45.42 (define @t2205 () (and (= @t402 @t2202) (= @t445 @t2202))) % 45.25/45.42 (define @t2206 () (= (tptp.hAPP (tptp.hAPP @t2165 @t402) @t445) @t2202)) % 45.25/45.42 (define @t2207 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2208 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2209 () (tptp.hAPP @t2208 @t2207)) % 45.25/45.42 (define @t2210 () (tptp.hAPP @t2165 @t1258)) % 45.25/45.42 (define @t2211 () (tptp.hBOOL (tptp.hAPP @t2209 @t1258))) % 45.25/45.42 (define @t2212 () (tptp.hAPP @t2208 @t1274)) % 45.25/45.42 (define @t2213 () (tptp.hBOOL (tptp.hAPP @t2212 @t1273))) % 45.25/45.42 (define @t2214 () (@var "V_z2" $$unsorted)) % 45.25/45.42 (define @t2215 () (tptp.hAPP @t2165 @t2032)) % 45.25/45.42 (define @t2216 () (tptp.hAPP @t2215 @t2214)) % 45.25/45.42 (define @t2217 () (@var "V_z1" $$unsorted)) % 45.25/45.42 (define @t2218 () (tptp.hAPP @t2215 @t2217)) % 45.25/45.42 (define @t2219 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2220 () (tptp.hAPP (tptp.hAPP @t2219 @t2217) @t2214)) % 45.25/45.42 (define @t2221 () (@list @t2214 @t2217 @t2032)) % 45.25/45.42 (define @t2222 () (tptp.hAPP @t2165 @t2214)) % 45.25/45.42 (define @t2223 () (tptp.hAPP @t2222 @t2032)) % 45.25/45.42 (define @t2224 () (tptp.hAPP @t2165 @t2217)) % 45.25/45.42 (define @t2225 () (tptp.hAPP @t2224 @t2032)) % 45.25/45.42 (define @t2226 () (@list @t2032 @t2214 @t2217)) % 45.25/45.42 (define @t2227 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2228 () (tptp.hAPP @t2227 @t2217)) % 45.25/45.42 (define @t2229 () (tptp.hAPP @t2228 @t2214)) % 45.25/45.42 (define @t2230 () (@var "V_z3" $$unsorted)) % 45.25/45.42 (define @t2231 () (@list @t2230 @t2214 @t2217)) % 45.25/45.42 (define @t2232 () (tptp.hAPP @t2215 @t72)) % 45.25/45.42 (define @t2233 () (tptp.hAPP @t2203 @t2032)) % 45.25/45.42 (define @t2234 () (@list @t2032 @t72)) % 45.25/45.42 (define @t2235 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2236 () (tptp.hAPP @t2235 @t72)) % 45.25/45.42 (define @t2237 () (tptp.c_Int_Onumber__class_Onumber__of @t10)) % 45.25/45.42 (define @t2238 () (tptp.hAPP @t2237 @t99)) % 45.25/45.42 (define @t2239 () (tptp.hAPP @t2237 @t49)) % 45.25/45.42 (define @t2240 () (= @t2239 @t2238)) % 45.25/45.42 (define @t2241 () (tptp.class_Int_Onumber__ring @t10)) % 45.25/45.42 (define @t2242 () (and @t2241 @t1951)) % 45.25/45.42 (define @t2243 () (tptp.hAPP @t2237 @t1432)) % 45.25/45.42 (define @t2244 () (tptp.class_Int_Onumber @t10)) % 45.25/45.42 (define @t2245 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2246 () (tptp.hAPP @t2245 @t49)) % 45.25/45.42 (define @t2247 () (tptp.hBOOL (tptp.hAPP @t2246 @t99))) % 45.25/45.42 (define @t2248 () (tptp.hAPP @t101 @t2239)) % 45.25/45.42 (define @t2249 () (and @t2241 @t1832)) % 45.25/45.42 (define @t2250 () (tptp.hAPP @t2208 @t49)) % 45.25/45.42 (define @t2251 () (tptp.hBOOL (tptp.hAPP @t2250 @t99))) % 45.25/45.42 (define @t2252 () (tptp.hAPP @t435 @t2239)) % 45.25/45.42 (define @t2253 () (tptp.c_Int_Onumber__class_Onumber__of @t35)) % 45.25/45.42 (define @t2254 () (tptp.hAPP @t2253 @t2032)) % 45.25/45.42 (define @t2255 () (tptp.hAPP @t2253 @t1905)) % 45.25/45.42 (define @t2256 () (tptp.hAPP @t1161 @t2255)) % 45.25/45.42 (define @t2257 () (tptp.hAPP @t2256 @t2254)) % 45.25/45.42 (define @t2258 () (tptp.hAPP @t2227 @t1905)) % 45.25/45.42 (define @t2259 () (tptp.hAPP @t2258 @t2032)) % 45.25/45.42 (define @t2260 () (tptp.hAPP @t2253 @t2259)) % 45.25/45.42 (define @t2261 () (tptp.class_Int_Onumber__ring @t35)) % 45.25/45.42 (define @t2262 () (@list @t2032 @t1905 @t35)) % 45.25/45.42 (define @t2263 () (@list @t72 @t2032 @t1905 @t35)) % 45.25/45.42 (define @t2264 () (tptp.hAPP @t1154 @t2255)) % 45.25/45.42 (define @t2265 () (tptp.hAPP @t2264 @t2254)) % 45.25/45.42 (define @t2266 () (tptp.hAPP @t2165 @t1905)) % 45.25/45.42 (define @t2267 () (tptp.hAPP @t2266 @t2032)) % 45.25/45.42 (define @t2268 () (tptp.hAPP @t2253 @t2267)) % 45.25/45.42 (define @t2269 () (tptp.hAPP @t2235 @t2032)) % 45.25/45.42 (define @t2270 () (tptp.hAPP @t2258 @t2269)) % 45.25/45.42 (define @t2271 () (tptp.hAPP @t2253 @t2270)) % 45.25/45.42 (define @t2272 () (tptp.hAPP @t713 @t2255)) % 45.25/45.42 (define @t2273 () (tptp.hAPP @t2272 @t2254)) % 45.25/45.42 (define @t2274 () (tptp.hAPP @t214 @t2254)) % 45.25/45.42 (define @t2275 () (tptp.hAPP @t2253 @t2269)) % 45.25/45.42 (define @t2276 () (@list @t2032 @t35)) % 45.25/45.42 (define @t2277 () (tptp.hAPP @t2237 @t2107)) % 45.25/45.42 (define @t2278 () (tptp.hAPP @t435 @t2243)) % 45.25/45.42 (define @t2279 () (@list @t1432 @t2107 @t10)) % 45.25/45.42 (define @t2280 () (tptp.hAPP @t2237 @t1905)) % 45.25/45.42 (define @t2281 () (tptp.hAPP @t1111 @t2280)) % 45.25/45.42 (define @t2282 () (tptp.hAPP @t2281 @t84)) % 45.25/45.42 (define @t2283 () (tptp.hAPP @t2281 @t87)) % 45.25/45.42 (define @t2284 () (and @t2244 (tptp.class_Rings_Osemiring @t10))) % 45.25/45.42 (define @t2285 () (@list @t84 @t87 @t1905 @t10)) % 45.25/45.42 (define @t2286 () (tptp.hAPP (tptp.hAPP @t1111 @t87) @t2280)) % 45.25/45.42 (define @t2287 () (tptp.hAPP (tptp.hAPP @t1111 @t83) @t2280)) % 45.25/45.42 (define @t2288 () (@list @t1905 @t87 @t83 @t10)) % 45.25/45.42 (define @t2289 () (and @t2244 @t1140)) % 45.25/45.42 (define @t2290 () (@list @t72 @t2032 @t35)) % 45.25/45.42 (define @t2291 () (tptp.hAPP @t2237 @t1272)) % 45.25/45.42 (define @t2292 () (tptp.hAPP (tptp.hAPP @t627 @t2291) @t2280)) % 45.25/45.42 (define @t2293 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2291) @t2280))) % 45.25/45.42 (define @t2294 () (not @t2293)) % 45.25/45.42 (define @t2295 () (and @t2244 @t620)) % 45.25/45.42 (define @t2296 () (@list @t1905 @t1272 @t10)) % 45.25/45.42 (define @t2297 () (tptp.hAPP (tptp.hAPP @t551 @t2291) @t2280)) % 45.25/45.42 (define @t2298 () (tptp.hAPP @t203 @t2243)) % 45.25/45.42 (define @t2299 () (@list @t1432 @t10)) % 45.25/45.42 (define @t2300 () (= @t2243 @t1704)) % 45.25/45.42 (define @t2301 () (=> @t2300 @t1706)) % 45.25/45.42 (define @t2302 () (tptp.hAPP @t1137 @t2243)) % 45.25/45.42 (define @t2303 () (not @t2300)) % 45.25/45.42 (define @t2304 () (tptp.hAPP @t1992 @t2243)) % 45.25/45.42 (define @t2305 () (and @t2045 @t2244)) % 45.25/45.42 (define @t2306 () (@list @t1432 @t171 @t153 @t10)) % 45.25/45.42 (define @t2307 () (=> @t1995 @t2300)) % 45.25/45.42 (define @t2308 () (tptp.hAPP (tptp.hAPP @t1111 @t2243) @t174)) % 45.25/45.42 (define @t2309 () (@list @t174 @t171 @t1432 @t10)) % 45.25/45.42 (define @t2310 () (@list @t1432 @t174 @t171 @t10)) % 45.25/45.42 (define @t2311 () (@list @t153 @t1432 @t171 @t10)) % 45.25/45.42 (define @t2312 () (@var "V_one_2" $$unsorted)) % 45.25/45.42 (define @t2313 () (@var "V_times_2" $$unsorted)) % 45.25/45.42 (define @t2314 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t10 @t2312 @t2313) @t153)) % 45.25/45.42 (define @t2315 () (tptp.hBOOL (tptp.hAPP @t2278 @t1704))) % 45.25/45.42 (define @t2316 () (not @t2315)) % 45.25/45.42 (define @t2317 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2302) @t171))) % 45.25/45.42 (define @t2318 () (tptp.hBOOL (tptp.hAPP @t1763 @t2243))) % 45.25/45.42 (define @t2319 () (not @t2318)) % 45.25/45.42 (define @t2320 () (tptp.hBOOL (tptp.hAPP @t487 @t2302))) % 45.25/45.42 (define @t2321 () (and @t2034 @t2244)) % 45.25/45.42 (define @t2322 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2308) @t171))) % 45.25/45.42 (define @t2323 () (tptp.hBOOL (tptp.hAPP @t487 @t2308))) % 45.25/45.42 (define @t2324 () (tptp.hBOOL (tptp.hAPP @t172 @t2302))) % 45.25/45.42 (define @t2325 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2302) @t171))) % 45.25/45.42 (define @t2326 () (tptp.hAPP @t101 @t2243)) % 45.25/45.42 (define @t2327 () (tptp.hBOOL (tptp.hAPP @t172 @t2308))) % 45.25/45.42 (define @t2328 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2308) @t171))) % 45.25/45.42 (define @t2329 () (tptp.hAPP @t529 @t1837)) % 45.25/45.42 (define @t2330 () (tptp.class_Rings_Olinordered__semidom @t40)) % 45.25/45.42 (define @t2331 () (tptp.hAPP @t2253 @t1258)) % 45.25/45.42 (define @t2332 () (tptp.c_Int_Osucc @t1258)) % 45.25/45.42 (define @t2333 () (@list @t1258 @t35)) % 45.25/45.42 (define @t2334 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 45.25/45.42 (define @t2335 () (tptp.hAPP @t2334 @t2032)) % 45.25/45.42 (define @t2336 () (tptp.hAPP @t2334 @t1905)) % 45.25/45.42 (define @t2337 () (@list @t2032 @t1905)) % 45.25/45.42 (define @t2338 () (tptp.hAPP @t2227 @t2336)) % 45.25/45.42 (define @t2339 () (tptp.hAPP @t2235 @t2335)) % 45.25/45.42 (define @t2340 () (@list @t2032)) % 45.25/45.42 (define @t2341 () (tptp.hAPP @t2208 @t160)) % 45.25/45.42 (define @t2342 () (tptp.hBOOL (tptp.hAPP @t2341 @t159))) % 45.25/45.42 (define @t2343 () (tptp.hAPP @t2334 @t159)) % 45.25/45.42 (define @t2344 () (tptp.hAPP @t2334 @t160)) % 45.25/45.42 (define @t2345 () (@list @t159 @t160)) % 45.25/45.42 (define @t2346 () (tptp.hAPP @t2245 @t160)) % 45.25/45.42 (define @t2347 () (tptp.hBOOL (tptp.hAPP @t2346 @t159))) % 45.25/45.42 (define @t2348 () (tptp.hAPP @t2235 @t2202)) % 45.25/45.42 (define @t2349 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1274)) % 45.25/45.42 (define @t2350 () (tptp.hBOOL (tptp.hAPP @t2209 @t1274))) % 45.25/45.42 (define @t2351 () (= @t1274 @t2207)) % 45.25/45.42 (define @t2352 () (@list @t1274)) % 45.25/45.42 (define @t2353 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t159 @t236)) % 45.25/45.42 (define @t2354 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t159)) % 45.25/45.42 (define @t2355 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t159 @t236)) % 45.25/45.42 (define @t2356 () (tptp.hAPP (tptp.hAPP @t2227 @t159) @t2202)) % 45.25/45.42 (define @t2357 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t159 @t236)) % 45.25/45.42 (define @t2358 () (tptp.hAPP @t2227 @t1258)) % 45.25/45.42 (define @t2359 () (tptp.hAPP @t2245 @t1274)) % 45.25/45.42 (define @t2360 () (tptp.hBOOL (tptp.hAPP @t2359 @t1273))) % 45.25/45.42 (define @t2361 () (tptp.hAPP @t2245 @t2032)) % 45.25/45.42 (define @t2362 () (tptp.hBOOL (tptp.hAPP @t2361 @t72))) % 45.25/45.42 (define @t2363 () (tptp.hAPP @t2245 @t72)) % 45.25/45.42 (define @t2364 () (tptp.hBOOL (tptp.hAPP @t2363 @t2032))) % 45.25/45.42 (define @t2365 () (tptp.hAPP @t2245 @t348)) % 45.25/45.42 (define @t2366 () (tptp.hAPP @t2208 @t348)) % 45.25/45.42 (define @t2367 () (@list @t1432 @t348)) % 45.25/45.42 (define @t2368 () (tptp.hAPP @t2227 @t2032)) % 45.25/45.42 (define @t2369 () (tptp.hAPP @t2368 @t72)) % 45.25/45.42 (define @t2370 () (@var "V_z_H" $$unsorted)) % 45.25/45.42 (define @t2371 () (@var "V_w_H" $$unsorted)) % 45.25/45.42 (define @t2372 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2370) @t72))) % 45.25/45.42 (define @t2373 () (tptp.hAPP @t2227 @t1274)) % 45.25/45.42 (define @t2374 () (tptp.hAPP @t2208 @t66)) % 45.25/45.42 (define @t2375 () (tptp.hAPP @t2208 @t34)) % 45.25/45.42 (define @t2376 () (@list @t34)) % 45.25/45.42 (define @t2377 () (tptp.hAPP @t2227 @t2236)) % 45.25/45.42 (define @t2378 () (tptp.hAPP @t2227 @t72)) % 45.25/45.42 (define @t2379 () (tptp.hAPP @t2378 @t2032)) % 45.25/45.42 (define @t2380 () (tptp.hAPP @t2227 @t34)) % 45.25/45.42 (define @t2381 () (tptp.hAPP @t2227 @t66)) % 45.25/45.42 (define @t2382 () (tptp.hAPP @t2219 @t72)) % 45.25/45.42 (define @t2383 () (tptp.hAPP @t2382 @t2032)) % 45.25/45.42 (define @t2384 () (tptp.hAPP @t2378 @t2269)) % 45.25/45.42 (define @t2385 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2207)) % 45.25/45.43 (define @t2386 () (tptp.hAPP @t2385 @t236)) % 45.25/45.43 (define @t2387 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 45.25/45.43 (define @t2388 () (tptp.hBOOL (tptp.hAPP @t2366 @t2207))) % 45.25/45.43 (define @t2389 () (tptp.hAPP @t2227 @t2202)) % 45.25/45.43 (define @t2390 () (@list @t348)) % 45.25/45.43 (define @t2391 () (= @t1432 @t348)) % 45.25/45.43 (define @t2392 () (tptp.hAPP @t2208 @t1432)) % 45.25/45.43 (define @t2393 () (tptp.hBOOL (tptp.hAPP @t2392 @t348))) % 45.25/45.43 (define @t2394 () (tptp.hBOOL (tptp.hAPP @t2392 (tptp.hAPP (tptp.hAPP @t2227 @t348) @t2202)))) % 45.25/45.43 (define @t2395 () (@list @t348 @t1432)) % 45.25/45.43 (define @t2396 () (@list @t72 @t2032)) % 45.25/45.43 (define @t2397 () (tptp.hAPP @t2389 @t72)) % 45.25/45.43 (define @t2398 () (tptp.hAPP @t2245 @t2207)) % 45.25/45.43 (define @t2399 () (tptp.hBOOL (tptp.hAPP @t2398 @t72))) % 45.25/45.43 (define @t2400 () (tptp.hAPP @t2227 @t1432)) % 45.25/45.43 (define @t2401 () (tptp.hAPP @t2245 @t1432)) % 45.25/45.43 (define @t2402 () (tptp.hBOOL (tptp.hAPP @t2401 @t348))) % 45.25/45.43 (define @t2403 () (tptp.hBOOL (tptp.hAPP @t2209 @t348))) % 45.25/45.43 (define @t2404 () (tptp.hAPP @t2245 @t2202)) % 45.25/45.43 (define @t2405 () (tptp.hAPP @t2219 @t348)) % 45.25/45.43 (define @t2406 () (tptp.hAPP @t2219 @t1258)) % 45.25/45.43 (define @t2407 () (tptp.c_Int_Opred @t1258)) % 45.25/45.43 (define @t2408 () (@list @t1258)) % 45.25/45.43 (define @t2409 () (tptp.hAPP @t2208 @t1829)) % 45.25/45.43 (define @t2410 () (tptp.hAPP @t2165 @t83)) % 45.25/45.43 (define @t2411 () (tptp.hAPP @t2410 @t2120)) % 45.25/45.43 (define @t2412 () (= @t83 (tptp.hAPP (tptp.hAPP @t2227 @t1829) @t2411))) % 45.25/45.43 (define @t2413 () (tptp.hBOOL (tptp.hAPP @t2209 @t83))) % 45.25/45.43 (define @t2414 () (@list @t2120 @t1829 @t83)) % 45.25/45.43 (define @t2415 () (tptp.hAPP @t2245 @t2120)) % 45.25/45.43 (define @t2416 () (tptp.hBOOL (tptp.hAPP @t2398 @t1829))) % 45.25/45.43 (define @t2417 () (@var "V_q_H" $$unsorted)) % 45.25/45.43 (define @t2418 () (tptp.hAPP @t2245 @t2417)) % 45.25/45.43 (define @t2419 () (tptp.hBOOL (tptp.hAPP @t2418 @t2120))) % 45.25/45.43 (define @t2420 () (@var "V_b_H" $$unsorted)) % 45.25/45.43 (define @t2421 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2420) @t87))) % 45.25/45.43 (define @t2422 () (tptp.hBOOL (tptp.hAPP @t2209 @t2420))) % 45.25/45.43 (define @t2423 () (@var "V_r_H" $$unsorted)) % 45.25/45.43 (define @t2424 () (tptp.hBOOL (tptp.hAPP @t2398 @t2423))) % 45.25/45.43 (define @t2425 () (tptp.hBOOL (tptp.hAPP @t2409 @t87))) % 45.25/45.43 (define @t2426 () (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2165 @t2420) @t2417)) @t2423)) % 45.25/45.43 (define @t2427 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2426) @t2207))) % 45.25/45.43 (define @t2428 () (tptp.hAPP @t2165 @t87)) % 45.25/45.43 (define @t2429 () (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2428 @t2120)) @t1829)) % 45.25/45.43 (define @t2430 () (= @t2429 @t2426)) % 45.25/45.43 (define @t2431 () (@list @t2423 @t2417 @t2420 @t1829 @t2120 @t87)) % 45.25/45.43 (define @t2432 () (tptp.hBOOL (tptp.hAPP @t2415 @t2417))) % 45.25/45.43 (define @t2433 () (tptp.hAPP @t2208 @t87)) % 45.25/45.43 (define @t2434 () (tptp.hBOOL (tptp.hAPP @t2433 @t1829))) % 45.25/45.43 (define @t2435 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1829) @t2207))) % 45.25/45.43 (define @t2436 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2428 @t2417)) @t2423)) @t2429))) % 45.25/45.43 (define @t2437 () (@list @t1829 @t2120 @t2423 @t2417 @t87)) % 45.25/45.43 (define @t2438 () (tptp.hAPP @t2208 @t2423)) % 45.25/45.43 (define @t2439 () (tptp.hBOOL (tptp.hAPP @t2438 @t2420))) % 45.25/45.43 (define @t2440 () (tptp.hBOOL (tptp.hAPP @t2398 @t2426))) % 45.25/45.43 (define @t2441 () (tptp.hAPP @t2354 @t236)) % 45.25/45.43 (define @t2442 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t2443 () (@list @t2423 @t2417 @t2420)) % 45.25/45.43 (define @t2444 () (tptp.hAPP (tptp.hAPP @t2227 @t749) @t2202)) % 45.25/45.43 (define @t2445 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t749 @t1143)) % 45.25/45.43 (define @t2446 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1143) @t749))) % 45.25/45.43 (define @t2447 () (tptp.c_Orderings_Obot__class_Obot @t2442)) % 45.25/45.43 (define @t2448 () (tptp.hAPP @t2163 @t1254)) % 45.25/45.43 (define @t2449 () (tptp.hBOOL (tptp.hAPP @t2398 @t34))) % 45.25/45.43 (define @t2450 () (@list @t1254 @t34)) % 45.25/45.43 (define @t2451 () (tptp.hAPP (tptp.hAPP @t2165 @t34) @t66)) % 45.25/45.43 (define @t2452 () (tptp.hBOOL (tptp.hAPP @t2398 @t66))) % 45.25/45.43 (define @t2453 () (tptp.hAPP @t2380 @t66)) % 45.25/45.43 (define @t2454 () (tptp.hAPP @t2219 @t3)) % 45.25/45.43 (define @t2455 () (tptp.hAPP @t2454 @t394)) % 45.25/45.43 (define @t2456 () (tptp.hAPP @t2245 @t545)) % 45.25/45.43 (define @t2457 () (tptp.hBOOL (tptp.hAPP @t2456 @t3))) % 45.25/45.43 (define @t2458 () (@var "B_xb" $$unsorted)) % 45.25/45.43 (define @t2459 () (tptp.c_member tptp.tc_Int_Oint)) % 45.25/45.43 (define @t2460 () (tptp.hAPP @t2459 @t2458)) % 45.25/45.43 (define @t2461 () (@list @t2458)) % 45.25/45.43 (define @t2462 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2202 @t394)) % 45.25/45.43 (define @t2463 () (tptp.hAPP @t2459 @t380)) % 45.25/45.43 (define @t2464 () (tptp.hBOOL (tptp.hAPP @t2463 @t2462))) % 45.25/45.43 (define @t2465 () (forall @t384 (=> @t2464 (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t2460 @t24)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2227 @t2458) @t380)))))))) % 45.25/45.43 (define @t2466 () (tptp.hAPP @t2219 @t545)) % 45.25/45.43 (define @t2467 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2459 (tptp.hAPP @t2466 @t2202)) @t24))) % 45.25/45.43 (define @t2468 () (tptp.hBOOL (tptp.hAPP @t2209 @t394))) % 45.25/45.43 (define @t2469 () (@list @t24 @t545 @t394)) % 45.25/45.43 (define @t2470 () (tptp.hAPP @t2227 @t3)) % 45.25/45.43 (define @t2471 () (tptp.hAPP @t2470 @t394)) % 45.25/45.43 (define @t2472 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t3) @t545))) % 45.25/45.43 (define @t2473 () (forall @t384 (=> @t2464 (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t2460 @t25)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t2219 @t2458) @t380)))))))) % 45.25/45.43 (define @t2474 () (tptp.hAPP @t2227 @t545)) % 45.25/45.43 (define @t2475 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2459 (tptp.hAPP @t2474 @t2202)) @t25))) % 45.25/45.43 (define @t2476 () (@list @t25 @t545 @t394)) % 45.25/45.43 (define @t2477 () (@list @t545 @t25 @t394)) % 45.25/45.43 (define @t2478 () (@list @t545 @t24 @t394)) % 45.25/45.43 (define @t2479 () (tptp.hAPP @t2459 @t3)) % 45.25/45.43 (define @t2480 () (@var "B_x1" $$unsorted)) % 45.25/45.43 (define @t2481 () (tptp.hBOOL (tptp.hAPP @t58 @t2480))) % 45.25/45.43 (define @t2482 () (@list @t2480)) % 45.25/45.43 (define @t2483 () (exists @t2482 @t2481)) % 45.25/45.43 (define @t2484 () (tptp.hAPP @t2209 @t170)) % 45.25/45.43 (define @t2485 () (tptp.hBOOL @t2484)) % 45.25/45.43 (define @t2486 () (tptp.hBOOL (tptp.hAPP @t2479 @t2462))) % 45.25/45.43 (define @t2487 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t3) @t545))) % 45.25/45.43 (define @t2488 () (tptp.hAPP @t2459 @t545)) % 45.25/45.43 (define @t2489 () (tptp.hBOOL (tptp.hAPP @t2488 @t25))) % 45.25/45.43 (define @t2490 () (tptp.hAPP @t2208 @t545)) % 45.25/45.43 (define @t2491 () (tptp.hBOOL (tptp.hAPP @t2490 @t3))) % 45.25/45.43 (define @t2492 () (tptp.hBOOL (tptp.hAPP @t2488 @t24))) % 45.25/45.43 (define @t2493 () (not (= @t3 @t545))) % 45.25/45.43 (define @t2494 () (tptp.hAPP @t2196 (tptp.c_Int_Osucc @t1905))) % 45.25/45.43 (define @t2495 () (tptp.hAPP @t1144 @t2197)) % 45.25/45.43 (define @t2496 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2495 @t1254))) % 45.25/45.43 (define @t2497 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2336))) % 45.25/45.43 (define @t2498 () (not @t2497)) % 45.25/45.43 (define @t2499 () (@list @t1254 @t1905)) % 45.25/45.43 (define @t2500 () (tptp.c_Nat__Transfer_Otsub @t34 @t66)) % 45.25/45.43 (define @t2501 () (tptp.hAPP @t2245 @t66)) % 45.25/45.43 (define @t2502 () (tptp.hBOOL (tptp.hAPP @t2501 @t34))) % 45.25/45.43 (define @t2503 () (tptp.hAPP @t2219 @t34)) % 45.25/45.43 (define @t2504 () (tptp.hAPP @t2503 @t66)) % 45.25/45.43 (define @t2505 () (=> @t2502 (= @t2500 @t2504))) % 45.25/45.43 (define @t2506 () (@list @t34 @t66)) % 45.25/45.43 (define @t2507 () (tptp.hBOOL (tptp.hAPP @t2398 @t49))) % 45.25/45.43 (define @t2508 () (@list @t49)) % 45.25/45.43 (define @t2509 () (@var "V_Z_2" $$unsorted)) % 45.25/45.43 (define @t2510 () (= @t2197 @t1700)) % 45.25/45.43 (define @t2511 () (@var "V_v_H_2" $$unsorted)) % 45.25/45.43 (define @t2512 () (tptp.hAPP @t2334 @t2511)) % 45.25/45.43 (define @t2513 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2512))) % 45.25/45.43 (define @t2514 () (tptp.hAPP @t2334 @t2107)) % 45.25/45.43 (define @t2515 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2514))) % 45.25/45.43 (define @t2516 () (tptp.hAPP @t2196 @t2511)) % 45.25/45.43 (define @t2517 () (tptp.hAPP @t2196 @t2107)) % 45.25/45.43 (define @t2518 () (@list @t2511 @t2107)) % 45.25/45.43 (define @t2519 () (@var "V_v_H" $$unsorted)) % 45.25/45.43 (define @t2520 () (tptp.hAPP @t2196 (tptp.hAPP @t2258 @t2519))) % 45.25/45.43 (define @t2521 () (tptp.hAPP @t2196 @t2519)) % 45.25/45.43 (define @t2522 () (tptp.hAPP (tptp.hAPP @t1144 @t2521) @t1258)) % 45.25/45.43 (define @t2523 () (tptp.hAPP @t2495 @t2522)) % 45.25/45.43 (define @t2524 () (tptp.hAPP @t2334 @t2519)) % 45.25/45.43 (define @t2525 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2524))) % 45.25/45.43 (define @t2526 () (not @t2525)) % 45.25/45.43 (define @t2527 () (@list @t1258 @t2519 @t1905)) % 45.25/45.43 (define @t2528 () (= @t2517 @t1700)) % 45.25/45.43 (define @t2529 () (tptp.hAPP @t2334 (tptp.c_Int_Opred @t2107))) % 45.25/45.43 (define @t2530 () (@list @t2107)) % 45.25/45.43 (define @t2531 () (tptp.hAPP tptp.c_Nat_OSuc @t2197)) % 45.25/45.43 (define @t2532 () (tptp.hAPP @t947 @t142)) % 45.25/45.43 (define @t2533 () (@var "V_a4_2" $$unsorted)) % 45.25/45.43 (define @t2534 () (@var "V_a5_2" $$unsorted)) % 45.25/45.43 (define @t2535 () (tptp.hAPP (tptp.hAPP @t2099 @t2103) @t2534)) % 45.25/45.43 (define @t2536 () (= @t2102 @t142)) % 45.25/45.43 (define @t2537 () (tptp.hAPP @t2162 @t1258)) % 45.25/45.43 (define @t2538 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 45.25/45.43 (define @t2539 () (@list @t1258 @t1255)) % 45.25/45.43 (define @t2540 () (tptp.hAPP @t2196 (tptp.c_Int_Opred @t1905))) % 45.25/45.43 (define @t2541 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1905) tptp.c_Int_OPls))) % 45.25/45.43 (define @t2542 () (tptp.hAPP @t2165 @t160)) % 45.25/45.43 (define @t2543 () (tptp.hAPP @t2542 @t170)) % 45.25/45.43 (define @t2544 () (tptp.hAPP @t2398 @t160)) % 45.25/45.43 (define @t2545 () (tptp.hBOOL @t2544)) % 45.25/45.43 (define @t2546 () (@list @t160 @t58 @t170)) % 45.25/45.43 (define @t2547 () (@list @t87)) % 45.25/45.43 (define @t2548 () (tptp.hAPP @t2235 @t83)) % 45.25/45.43 (define @t2549 () (tptp.hAPP @t2538 @t2548)) % 45.25/45.43 (define @t2550 () (tptp.hAPP @t2549 @t87)) % 45.25/45.43 (define @t2551 () (tptp.hAPP @t2235 @t87)) % 45.25/45.43 (define @t2552 () (tptp.hAPP @t2538 @t83)) % 45.25/45.43 (define @t2553 () (tptp.hAPP @t2552 @t2551)) % 45.25/45.43 (define @t2554 () (@list @t87 @t83)) % 45.25/45.43 (define @t2555 () (tptp.hAPP @t2552 @t87)) % 45.25/45.43 (define @t2556 () (tptp.hAPP @t2245 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2557 () (tptp.hAPP @t2208 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2558 () (tptp.hAPP @t2227 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2559 () (tptp.c_Divides_Odiv__class_Odiv @t35)) % 45.25/45.43 (define @t2560 () (tptp.class_Divides_Osemiring__div @t35)) % 45.25/45.43 (define @t2561 () (tptp.hAPP @t2559 @t83)) % 45.25/45.43 (define @t2562 () (tptp.hAPP @t2235 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2563 () (tptp.hAPP @t2538 @t34)) % 45.25/45.43 (define @t2564 () (tptp.hAPP @t2563 @t66)) % 45.25/45.43 (define @t2565 () (tptp.hAPP @t2208 @t153)) % 45.25/45.43 (define @t2566 () (tptp.hAPP @t2538 @t153)) % 45.25/45.43 (define @t2567 () (tptp.hAPP @t2566 @t171)) % 45.25/45.43 (define @t2568 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2567) @t2207))) % 45.25/45.43 (define @t2569 () (tptp.hAPP @t2209 @t171)) % 45.25/45.43 (define @t2570 () (tptp.hBOOL @t2569)) % 45.25/45.43 (define @t2571 () (@list @t153 @t171)) % 45.25/45.43 (define @t2572 () (tptp.hAPP @t2208 @t171)) % 45.25/45.43 (define @t2573 () (tptp.hBOOL (tptp.hAPP @t2572 @t2207))) % 45.25/45.43 (define @t2574 () (tptp.hBOOL (tptp.hAPP @t2209 @t87))) % 45.25/45.43 (define @t2575 () (tptp.hAPP @t2208 @t83)) % 45.25/45.43 (define @t2576 () (tptp.hBOOL (tptp.hAPP @t2575 @t2207))) % 45.25/45.43 (define @t2577 () (= @t83 @t2207)) % 45.25/45.43 (define @t2578 () (not @t2577)) % 45.25/45.43 (define @t2579 () (@list @t83)) % 45.25/45.43 (define @t2580 () (tptp.hAPP @t2253 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2581 () (tptp.hAPP @t2196 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2582 () (tptp.hAPP @t2334 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2583 () (tptp.hAPP @t2561 @t87)) % 45.25/45.43 (define @t2584 () (tptp.hAPP (tptp.hAPP @t2559 @t1787) @t1786)) % 45.25/45.43 (define @t2585 () (=> @t2002 (= @t2584 @t2583))) % 45.25/45.43 (define @t2586 () (tptp.hAPP @t2245 @t749)) % 45.25/45.43 (define @t2587 () (tptp.hBOOL (tptp.hAPP @t2586 @t2207))) % 45.25/45.43 (define @t2588 () (tptp.hAPP @t2208 @t749)) % 45.25/45.43 (define @t2589 () (= @t160 @t2207)) % 45.25/45.43 (define @t2590 () (tptp.hAPP (tptp.hAPP @t2538 @t749) @t160)) % 45.25/45.43 (define @t2591 () (@list @t160 @t749)) % 45.25/45.43 (define @t2592 () (tptp.hBOOL (tptp.hAPP @t2398 @t153))) % 45.25/45.43 (define @t2593 () (tptp.hBOOL (tptp.hAPP @t2398 @t2567))) % 45.25/45.43 (define @t2594 () (tptp.hBOOL (tptp.hAPP @t2209 @t160))) % 45.25/45.43 (define @t2595 () (tptp.hAPP @t2245 @t171)) % 45.25/45.43 (define @t2596 () (@list @t171 @t153)) % 45.25/45.43 (define @t2597 () (tptp.hAPP @t2552 @t2420)) % 45.25/45.43 (define @t2598 () (tptp.hAPP @t2245 @t2555)) % 45.25/45.43 (define @t2599 () (tptp.hBOOL (tptp.hAPP @t2398 @t83))) % 45.25/45.43 (define @t2600 () (@list @t87 @t2420 @t83)) % 45.25/45.43 (define @t2601 () (tptp.hBOOL (tptp.hAPP @t2598 @t2207))) % 45.25/45.43 (define @t2602 () (tptp.hBOOL (tptp.hAPP @t2433 @t2207))) % 45.25/45.43 (define @t2603 () (= @t2555 @t2207)) % 45.25/45.43 (define @t2604 () (tptp.hBOOL (tptp.hAPP @t2575 @t87))) % 45.25/45.43 (define @t2605 () (tptp.hAPP @t2245 @t83)) % 45.25/45.43 (define @t2606 () (tptp.hBOOL (tptp.hAPP @t2605 @t2207))) % 45.25/45.43 (define @t2607 () (tptp.hBOOL (tptp.hAPP @t2433 @t83))) % 45.25/45.43 (define @t2608 () (@var "V_a_H" $$unsorted)) % 45.25/45.43 (define @t2609 () (tptp.hAPP (tptp.hAPP @t2538 @t2608) @t87)) % 45.25/45.43 (define @t2610 () (tptp.hBOOL (tptp.hAPP @t2605 @t2608))) % 45.25/45.43 (define @t2611 () (@list @t87 @t2608 @t83)) % 45.25/45.43 (define @t2612 () (tptp.hAPP @t2208 @t2202)) % 45.25/45.43 (define @t2613 () (tptp.hAPP @t2428 @t84)) % 45.25/45.43 (define @t2614 () (tptp.hBOOL (tptp.hAPP @t2209 @t84))) % 45.25/45.43 (define @t2615 () (@list @t87 @t83 @t84)) % 45.25/45.43 (define @t2616 () (and @t2033 @t2261)) % 45.25/45.43 (define @t2617 () (tptp.hAPP @t2245 @t2107)) % 45.25/45.43 (define @t2618 () (tptp.hBOOL (tptp.hAPP @t2617 tptp.c_Int_OPls))) % 45.25/45.43 (define @t2619 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2107) @t2511))) % 45.25/45.43 (define @t2620 () (tptp.hAPP @t1323 @t2517)) % 45.25/45.43 (define @t2621 () (tptp.hAPP @t1080 @t2517)) % 45.25/45.43 (define @t2622 () (tptp.hAPP @t1182 @t2583)) % 45.25/45.43 (define @t2623 () (tptp.hAPP @t1164 @t1170)) % 45.25/45.43 (define @t2624 () (tptp.hAPP @t1164 @t1786)) % 45.25/45.43 (define @t2625 () (tptp.hAPP (tptp.hAPP @t1161 @t2583) @t1597)) % 45.25/45.43 (define @t2626 () (@list @t99 @t10)) % 45.25/45.43 (define @t2627 () (tptp.hAPP @t2495 @t2521)) % 45.25/45.43 (define @t2628 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2519) tptp.c_Int_OPls))) % 45.25/45.43 (define @t2629 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1905) tptp.c_Int_OPls))) % 45.25/45.43 (define @t2630 () (not @t2629)) % 45.25/45.43 (define @t2631 () (@list @t2519 @t1905)) % 45.25/45.43 (define @t2632 () (= @t445 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2542 @t1966)) @t1848))) % 45.25/45.43 (define @t2633 () (and (tptp.hBOOL (tptp.hAPP @t2341 @t1848)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1848) @t2207)) @t2632)) % 45.25/45.43 (define @t2634 () (tptp.hAPP @t2341 @t2207)) % 45.25/45.43 (define @t2635 () (tptp.hBOOL @t2634)) % 45.25/45.43 (define @t2636 () (and (tptp.hBOOL (tptp.hAPP @t2398 @t1848)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1848) @t160)) @t2632)) % 45.25/45.43 (define @t2637 () (tptp.hBOOL (tptp.hAPP @t58 @t2207))) % 45.25/45.43 (define @t2638 () (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t2538 @t445) @t160))) % 45.25/45.43 (define @t2639 () (@list @t160 @t445 @t58)) % 45.25/45.43 (define @t2640 () (@var "V_b_1" $$unsorted)) % 45.25/45.43 (define @t2641 () (@var "V_a_1" $$unsorted)) % 45.25/45.43 (define @t2642 () (not (= @t2640 @t2207))) % 45.25/45.43 (define @t2643 () (@var "V_r_1" $$unsorted)) % 45.25/45.43 (define @t2644 () (tptp.hAPP @t2208 @t2640)) % 45.25/45.43 (define @t2645 () (tptp.hBOOL (tptp.hAPP @t2209 @t2640))) % 45.25/45.43 (define @t2646 () (not @t2645)) % 45.25/45.43 (define @t2647 () (tptp.hAPP @t2165 @t2640)) % 45.25/45.43 (define @t2648 () (tptp.hAPP @t2196 (tptp.hAPP @t2266 @t2519))) % 45.25/45.43 (define @t2649 () (tptp.hAPP @t1264 @t2197)) % 45.25/45.43 (define @t2650 () (tptp.hAPP @t2649 (tptp.hAPP (tptp.hAPP @t1264 @t2521) @t1258))) % 45.25/45.43 (define @t2651 () (tptp.hAPP @t2649 @t2521)) % 45.25/45.43 (define @t2652 () (tptp.hAPP @t1571 @t2197)) % 45.25/45.43 (define @t2653 () (tptp.hAPP @t2495 @t1569)) % 45.25/45.43 (define @t2654 () (tptp.hAPP @t2235 @t1331)) % 45.25/45.43 (define @t2655 () (tptp.hAPP @t2538 @t1258)) % 45.25/45.43 (define @t2656 () (tptp.c_SMT_Oz3div @t1258 @t1331)) % 45.25/45.43 (define @t2657 () (tptp.hBOOL (tptp.hAPP @t2398 @t1331))) % 45.25/45.43 (define @t2658 () (not @t2657)) % 45.25/45.43 (define @t2659 () (tptp.hAPP @t2655 @t1331)) % 45.25/45.43 (define @t2660 () (@list @t1258 @t1331)) % 45.25/45.43 (define @t2661 () (tptp.hAPP @t2227 @t49)) % 45.25/45.43 (define @t2662 () (tptp.hAPP @t2235 @t99)) % 45.25/45.43 (define @t2663 () (tptp.c_Nat_Osemiring__1__class_ONats @t10)) % 45.25/45.43 (define @t2664 () (tptp.hAPP @t2196 @t2032)) % 45.25/45.43 (define @t2665 () (tptp.hAPP @t2162 @t2336)) % 45.25/45.43 (define @t2666 () (tptp.hAPP @t2114 @t2197)) % 45.25/45.43 (define @t2667 () (tptp.hAPP @t2666 @t2664)) % 45.25/45.43 (define @t2668 () (tptp.hAPP @t2114 @t1700)) % 45.25/45.43 (define @t2669 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t2670 () (tptp.hAPP @t2669 @t1254)) % 45.25/45.43 (define @t2671 () (tptp.hAPP @t2669 @t1255)) % 45.25/45.43 (define @t2672 () (tptp.hAPP @t2671 @t1254)) % 45.25/45.43 (define @t2673 () (tptp.hAPP @t2669 @t83)) % 45.25/45.43 (define @t2674 () (tptp.hAPP @t2673 @t87)) % 45.25/45.43 (define @t2675 () (tptp.hAPP @t1264 @t87)) % 45.25/45.43 (define @t2676 () (tptp.hAPP @t2675 @t84)) % 45.25/45.43 (define @t2677 () (tptp.hAPP tptp.c_Int_Onat @t66)) % 45.25/45.43 (define @t2678 () (tptp.hAPP tptp.c_Int_Onat @t34)) % 45.25/45.43 (define @t2679 () (tptp.hAPP (tptp.hAPP @t2669 @t2678) @t2677)) % 45.25/45.43 (define @t2680 () (tptp.hAPP tptp.c_Int_Onat @t2564)) % 45.25/45.43 (define @t2681 () (tptp.class_Rings_Osemiring__1 @t35)) % 45.25/45.43 (define @t2682 () (tptp.class_Rings_Osemiring__1 @t10)) % 45.25/45.43 (define @t2683 () (@list @t348 @t10)) % 45.25/45.43 (define @t2684 () (=> @t1328 (= @t2672 @t1700))) % 45.25/45.43 (define @t2685 () (tptp.hAPP (tptp.hAPP @t2669 @t1315) @t1314)) % 45.25/45.43 (define @t2686 () (= @t2685 @t2672)) % 45.25/45.43 (define @t2687 () (= @t1258 @t1700)) % 45.25/45.43 (define @t2688 () (tptp.hAPP tptp.c_Int_Onat @t2207)) % 45.25/45.43 (define @t2689 () (@var "V_z_H_2" $$unsorted)) % 45.25/45.43 (define @t2690 () (tptp.hAPP tptp.c_Int_Onat @t2689)) % 45.25/45.43 (define @t2691 () (tptp.hAPP tptp.c_Int_Onat @t348)) % 45.25/45.43 (define @t2692 () (tptp.hBOOL (tptp.hAPP @t2398 @t348))) % 45.25/45.43 (define @t2693 () (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 45.25/45.43 (define @t2694 () (tptp.hBOOL (tptp.hAPP @t2398 @t3))) % 45.25/45.43 (define @t2695 () (@list @t58)) % 45.25/45.43 (define @t2696 () (forall @t2482 @t2481)) % 45.25/45.43 (define @t2697 () (tptp.hAPP tptp.c_Int_Onat @t99)) % 45.25/45.43 (define @t2698 () (tptp.hAPP tptp.c_Int_Onat @t49)) % 45.25/45.43 (define @t2699 () (tptp.hBOOL (tptp.hAPP @t2398 @t99))) % 45.25/45.43 (define @t2700 () (@list @t99 @t49)) % 45.25/45.43 (define @t2701 () (tptp.hAPP tptp.c_Int_Onat @t2202)) % 45.25/45.43 (define @t2702 () (tptp.hAPP tptp.c_Int_Onat @t72)) % 45.25/45.43 (define @t2703 () (= @t2702 @t1700)) % 45.25/45.43 (define @t2704 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t72))) % 45.25/45.43 (define @t2705 () (tptp.hAPP tptp.c_Int_Onat @t236)) % 45.25/45.43 (define @t2706 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 45.25/45.43 (define @t2707 () (tptp.hAPP @t2538 @t2336)) % 45.25/45.43 (define @t2708 () (tptp.hAPP (tptp.hAPP @t2669 @t2197) @t2521)) % 45.25/45.43 (define @t2709 () (tptp.hAPP @t2219 @t236)) % 45.25/45.43 (define @t2710 () (tptp.hAPP @t2709 @t159)) % 45.25/45.43 (define @t2711 () (tptp.hAPP tptp.c_Int_Onat @t2710)) % 45.25/45.43 (define @t2712 () (tptp.hAPP @t2538 @t2202)) % 45.25/45.43 (define @t2713 () (@list @t2519)) % 45.25/45.43 (define @t2714 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 45.25/45.43 (define @t2715 () (tptp.hAPP @t2669 @t1258)) % 45.25/45.43 (define @t2716 () (tptp.hAPP @t1323 @t1569)) % 45.25/45.43 (define @t2717 () (tptp.hBOOL (tptp.hAPP @t2716 @t1254))) % 45.25/45.43 (define @t2718 () (tptp.hBOOL (tptp.hAPP @t2363 @t2207))) % 45.25/45.43 (define @t2719 () (tptp.hAPP tptp.c_Int_Onat @t749)) % 45.25/45.43 (define @t2720 () (@list @t749)) % 45.25/45.43 (define @t2721 () (tptp.hAPP tptp.c_Int_Onat @t1432)) % 45.25/45.43 (define @t2722 () (tptp.hAPP @t1323 @t2721)) % 45.25/45.43 (define @t2723 () (tptp.hBOOL (tptp.hAPP @t2722 @t2691))) % 45.25/45.43 (define @t2724 () (= @t2723 @t2393)) % 45.25/45.43 (define @t2725 () (tptp.hBOOL (tptp.hAPP @t863 @t2663))) % 45.25/45.43 (define @t2726 () (tptp.hBOOL (tptp.hAPP @t851 @t2663))) % 45.25/45.43 (define @t2727 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2669 @t1257) @t1254))) % 45.25/45.43 (define @t2728 () (= @t2672 @t2727)) % 45.25/45.43 (define @t2729 () (=> @t1406 @t2728)) % 45.25/45.43 (define @t2730 () (= @t445 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t1744 @t1966)) @t1848))) % 45.25/45.43 (define @t2731 () (tptp.hBOOL (tptp.hAPP @t1849 @t160))) % 45.25/45.43 (define @t2732 () (@list @t1966 @t1848)) % 45.25/45.43 (define @t2733 () (not @t1739)) % 45.25/45.43 (define @t2734 () (tptp.hBOOL (tptp.hAPP @t2398 @t1432))) % 45.25/45.43 (define @t2735 () (tptp.hAPP tptp.c_Int_Onat @t2370)) % 45.25/45.43 (define @t2736 () (tptp.hBOOL (tptp.hAPP @t2398 @t2370))) % 45.25/45.43 (define @t2737 () (@list @t2370 @t72)) % 45.25/45.43 (define @t2738 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2203 @t2370))) % 45.25/45.43 (define @t2739 () (tptp.hAPP (tptp.hAPP @t2162 @t72) @t1254)) % 45.25/45.43 (define @t2740 () (tptp.hAPP (tptp.hAPP @t2669 @t402) @t445)) % 45.25/45.43 (define @t2741 () (@var "V_q_2" $$unsorted)) % 45.25/45.43 (define @t2742 () (@var "B_q" $$unsorted)) % 45.25/45.43 (define @t2743 () (@list @t2742)) % 45.25/45.43 (define @t2744 () (tptp.hAPP @t2666 @t1254)) % 45.25/45.43 (define @t2745 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2746 () (tptp.hAPP @t2227 @t2745)) % 45.25/45.43 (define @t2747 () (tptp.hAPP @t2235 @t2745)) % 45.25/45.43 (define @t2748 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t35)) % 45.25/45.43 (define @t2749 () (tptp.hAPP @t2748 @t2197)) % 45.25/45.43 (define @t2750 () (= @t2749 @t1707)) % 45.25/45.43 (define @t2751 () (tptp.hBOOL (tptp.hAPP @t2398 @t2336))) % 45.25/45.43 (define @t2752 () (= @t2749 @t2255)) % 45.25/45.43 (define @t2753 () (@list @t1905 @t35)) % 45.25/45.43 (define @t2754 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 45.25/45.43 (define @t2755 () (tptp.hAPP @t2754 @t1255)) % 45.25/45.43 (define @t2756 () (tptp.hAPP @t2754 @t1254)) % 45.25/45.43 (define @t2757 () (tptp.hAPP @t2235 @t2756)) % 45.25/45.43 (define @t2758 () (tptp.hAPP @t2245 @t2757)) % 45.25/45.43 (define @t2759 () (tptp.hAPP @t2235 (tptp.hAPP @t2754 @t1574))) % 45.25/45.43 (define @t2760 () (tptp.hAPP @t2208 @t2759)) % 45.25/45.43 (define @t2761 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2754)) % 45.25/45.43 (define @t2762 () (tptp.hAPP @t2761 @t25)) % 45.25/45.43 (define @t2763 () (@list @t25)) % 45.25/45.43 (define @t2764 () (tptp.hAPP @t2761 @t24)) % 45.25/45.43 (define @t2765 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2442)) % 45.25/45.43 (define @t2766 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1149)) % 45.25/45.43 (define @t2767 () (@list @t24 @t25)) % 45.25/45.43 (define @t2768 () (tptp.c_Int_OBit1 @t1258)) % 45.25/45.43 (define @t2769 () (tptp.c_Int_OBit1 @t1331)) % 45.25/45.43 (define @t2770 () (@list @t1331)) % 45.25/45.43 (define @t2771 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10)) % 45.25/45.43 (define @t2772 () (tptp.hAPP @t2771 @t445)) % 45.25/45.43 (define @t2773 () (tptp.hAPP @t2771 @t402)) % 45.25/45.43 (define @t2774 () (tptp.class_Nat_Osemiring__char__0 @t10)) % 45.25/45.43 (define @t2775 () (= @t160 @t159)) % 45.25/45.43 (define @t2776 () (tptp.c_Int_OBit1 @t159)) % 45.25/45.43 (define @t2777 () (tptp.c_Int_OBit1 @t160)) % 45.25/45.43 (define @t2778 () (tptp.hAPP @t2208 @t2777)) % 45.25/45.43 (define @t2779 () (@var "V_k2_2" $$unsorted)) % 45.25/45.43 (define @t2780 () (@var "V_k1_2" $$unsorted)) % 45.25/45.43 (define @t2781 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2780) @t2779))) % 45.25/45.43 (define @t2782 () (tptp.c_Int_OBit1 @t2779)) % 45.25/45.43 (define @t2783 () (tptp.c_Int_OBit1 @t2780)) % 45.25/45.43 (define @t2784 () (tptp.hAPP @t2208 @t2783)) % 45.25/45.43 (define @t2785 () (@list @t2779 @t2780)) % 45.25/45.43 (define @t2786 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2780) @t2779))) % 45.25/45.43 (define @t2787 () (tptp.hAPP @t2245 @t2783)) % 45.25/45.43 (define @t2788 () (tptp.hAPP @t2245 @t2777)) % 45.25/45.43 (define @t2789 () (tptp.hAPP @t2754 @t66)) % 45.25/45.43 (define @t2790 () (tptp.hAPP @t2754 @t34)) % 45.25/45.43 (define @t2791 () (tptp.hAPP @t2754 @t87)) % 45.25/45.43 (define @t2792 () (tptp.hAPP @t2754 @t83)) % 45.25/45.43 (define @t2793 () (tptp.hAPP @t2754 @t49)) % 45.25/45.43 (define @t2794 () (tptp.hAPP @t1190 @t49)) % 45.25/45.43 (define @t2795 () (@list @t25 @t49)) % 45.25/45.43 (define @t2796 () (tptp.c_Int_OBit1 @t2745)) % 45.25/45.43 (define @t2797 () (tptp.hAPP @t2196 @t2796)) % 45.25/45.43 (define @t2798 () (tptp.hAPP @t2334 @t2796)) % 45.25/45.43 (define @t2799 () (tptp.c_Orderings_Oord__class_Oless__eq @t2442)) % 45.25/45.43 (define @t2800 () (tptp.hAPP @t2754 @t1700)) % 45.25/45.43 (define @t2801 () (tptp.hAPP @t2754 @t445)) % 45.25/45.43 (define @t2802 () (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2754 @t3)))) % 45.25/45.43 (define @t2803 () (tptp.hAPP @t2754 @t72)) % 45.25/45.43 (define @t2804 () (tptp.hAPP @t2754 @t1258)) % 45.25/45.43 (define @t2805 () (tptp.hAPP @t2754 @t99)) % 45.25/45.43 (define @t2806 () (tptp.hAPP @t2754 @t402)) % 45.25/45.43 (define @t2807 () (tptp.hAPP @t2208 @t2806)) % 45.25/45.43 (define @t2808 () (tptp.hBOOL (tptp.hAPP @t2392 @t2207))) % 45.25/45.43 (define @t2809 () (tptp.c_Int_OBit1 @t1432)) % 45.25/45.43 (define @t2810 () (@list @t1432)) % 45.25/45.43 (define @t2811 () (tptp.hAPP @t2754 @t1308)) % 45.25/45.43 (define @t2812 () (tptp.hAPP @t2227 @t2755)) % 45.25/45.43 (define @t2813 () (tptp.hAPP @t2754 @t1593)) % 45.25/45.43 (define @t2814 () (tptp.hBOOL (tptp.hAPP @t2556 @t160))) % 45.25/45.43 (define @t2815 () (tptp.hBOOL (tptp.hAPP @t2341 tptp.c_Int_OPls))) % 45.25/45.43 (define @t2816 () (tptp.hAPP @t2748 @t1255)) % 45.25/45.43 (define @t2817 () (tptp.hAPP @t2748 @t1254)) % 45.25/45.43 (define @t2818 () (and @t1733 @t1736)) % 45.25/45.43 (define @t2819 () (tptp.hAPP @t447 @t2816)) % 45.25/45.43 (define @t2820 () (tptp.hAPP (tptp.hAPP @t1264 @t34) @t66)) % 45.25/45.43 (define @t2821 () (tptp.hAPP @t2754 @t1310)) % 45.25/45.43 (define @t2822 () (tptp.hAPP (tptp.hAPP @t2165 @t2755) @t2756)) % 45.25/45.43 (define @t2823 () (tptp.hBOOL (tptp.hAPP @t2819 @t2817))) % 45.25/45.43 (define @t2824 () (tptp.hAPP @t2754 @t1569)) % 45.25/45.43 (define @t2825 () (tptp.hAPP @t2334 @t1432)) % 45.25/45.43 (define @t2826 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2825))) % 45.25/45.43 (define @t2827 () (tptp.hAPP @t2754 @t2702)) % 45.25/45.43 (define @t2828 () (= @t2827 @t72)) % 45.25/45.43 (define @t2829 () (tptp.hAPP @t2235 @t1258)) % 45.25/45.43 (define @t2830 () (tptp.hAPP @t2253 (tptp.c_Int_OBit1 @t2032))) % 45.25/45.43 (define @t2831 () (tptp.hAPP @t203 @t2772)) % 45.25/45.43 (define @t2832 () (tptp.hAPP (tptp.hAPP @t2114 @t1255) @t1254)) % 45.25/45.43 (define @t2833 () (tptp.hAPP @t2754 @t2832)) % 45.25/45.43 (define @t2834 () (tptp.hAPP (tptp.hAPP @t2162 @t2755) @t1254)) % 45.25/45.43 (define @t2835 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2442)) % 45.25/45.43 (define @t2836 () (tptp.hAPP @t1650 @t2254)) % 45.25/45.43 (define @t2837 () (tptp.hAPP @t2253 @t2745)) % 45.25/45.43 (define @t2838 () (tptp.hAPP @t2245 @t2801)) % 45.25/45.43 (define @t2839 () (tptp.hAPP @t2754 @t1594)) % 45.25/45.43 (define @t2840 () (=> @t2399 @t2828)) % 45.25/45.43 (define @t2841 () (@list @t348 @t402)) % 45.25/45.43 (define @t2842 () (and @t2074 @t2261)) % 45.25/45.43 (define @t2843 () (tptp.hAPP @t2196 @t2745)) % 45.25/45.43 (define @t2844 () (and (=> @t2734 (= @t1432 @t2806)) (=> (not @t2734) @t1736))) % 45.25/45.43 (define @t2845 () (@list @t402 @t1432)) % 45.25/45.43 (define @t2846 () (@list @t749 @t58)) % 45.25/45.43 (define @t2847 () (tptp.hAPP @t2165 @t2804)) % 45.25/45.43 (define @t2848 () (tptp.hAPP @t1144 @t2797)) % 45.25/45.43 (define @t2849 () (tptp.hAPP @t2848 @t1254)) % 45.25/45.43 (define @t2850 () (tptp.hAPP tptp.c_Nat_OSuc @t1574)) % 45.25/45.43 (define @t2851 () (tptp.hAPP tptp.c_Nat_OSuc @t2850)) % 45.25/45.43 (define @t2852 () (tptp.hAPP @t2848 @t1255)) % 45.25/45.43 (define @t2853 () (tptp.hAPP @t2669 @t2852)) % 45.25/45.43 (define @t2854 () (tptp.hAPP tptp.c_Nat_OSuc @t1575)) % 45.25/45.43 (define @t2855 () (tptp.hAPP tptp.c_Nat_OSuc @t2854)) % 45.25/45.43 (define @t2856 () (tptp.hAPP @t2669 @t2855)) % 45.25/45.43 (define @t2857 () (@list @t1905 @t1255)) % 45.25/45.43 (define @t2858 () (tptp.hAPP @t2754 @t2197)) % 45.25/45.43 (define @t2859 () (tptp.hAPP @t1080 @t99)) % 45.25/45.43 (define @t2860 () (tptp.hAPP @t1091 @t49)) % 45.25/45.43 (define @t2861 () (tptp.hAPP @t2860 @t99)) % 45.25/45.43 (define @t2862 () (tptp.hAPP @t2538 @t87)) % 45.25/45.43 (define @t2863 () (tptp.c_Int_OBit0 @t2745)) % 45.25/45.43 (define @t2864 () (tptp.hAPP @t2334 @t2863)) % 45.25/45.43 (define @t2865 () (tptp.hAPP @t2165 @t2864)) % 45.25/45.43 (define @t2866 () (tptp.hAPP @t2865 @t83)) % 45.25/45.43 (define @t2867 () (tptp.hAPP @t2865 @t87)) % 45.25/45.43 (define @t2868 () (tptp.hAPP @t2389 @t2867)) % 45.25/45.43 (define @t2869 () (tptp.hAPP (tptp.hAPP @t2538 @t2868) @t2866)) % 45.25/45.43 (define @t2870 () (tptp.hAPP (tptp.hAPP @t2227 @t87) @t2202)) % 45.25/45.43 (define @t2871 () (tptp.hAPP @t2748 @t2678)) % 45.25/45.43 (define @t2872 () (tptp.hAPP @t2196 @t2863)) % 45.25/45.43 (define @t2873 () (tptp.hAPP @t1264 @t2872)) % 45.25/45.43 (define @t2874 () (tptp.hAPP @t2873 @t1254)) % 45.25/45.43 (define @t2875 () (tptp.hAPP tptp.c_Nat_OSuc @t2874)) % 45.25/45.43 (define @t2876 () (tptp.c_Int_OBit0 @t1258)) % 45.25/45.43 (define @t2877 () (@list @t1331 @t1258)) % 45.25/45.43 (define @t2878 () (tptp.c_Int_OBit0 @t1331)) % 45.25/45.43 (define @t2879 () (tptp.c_Orderings_Oord__class_Oless @t2442)) % 45.25/45.43 (define @t2880 () (tptp.c_Orderings_Oord__class_Oless @t1149)) % 45.25/45.43 (define @t2881 () (tptp.c_Int_OBit0 @t159)) % 45.25/45.43 (define @t2882 () (@list @t159)) % 45.25/45.43 (define @t2883 () (tptp.c_Int_OBit0 @t160)) % 45.25/45.43 (define @t2884 () (tptp.hAPP @t2358 @t1331)) % 45.25/45.43 (define @t2885 () (tptp.hAPP @t2227 @t2876)) % 45.25/45.43 (define @t2886 () (tptp.hAPP @t2245 @t2883)) % 45.25/45.43 (define @t2887 () (tptp.c_Int_OBit0 @t2779)) % 45.25/45.43 (define @t2888 () (tptp.c_Int_OBit0 @t2780)) % 45.25/45.43 (define @t2889 () (tptp.hAPP @t2245 @t2888)) % 45.25/45.43 (define @t2890 () (tptp.hAPP @t2208 @t2888)) % 45.25/45.43 (define @t2891 () (tptp.hAPP @t2208 @t2883)) % 45.25/45.43 (define @t2892 () (tptp.hAPP @t2406 @t1331)) % 45.25/45.43 (define @t2893 () (tptp.c_Int_OBit0 @t2892)) % 45.25/45.43 (define @t2894 () (tptp.hAPP @t2219 @t2876)) % 45.25/45.43 (define @t2895 () (tptp.c_Int_OBit0 (tptp.hAPP @t2210 @t1331))) % 45.25/45.43 (define @t2896 () (tptp.c_Int_OBit0 @t1432)) % 45.25/45.43 (define @t2897 () (tptp.c_Int_OBit1 @t2884)) % 45.25/45.43 (define @t2898 () (tptp.hAPP @t2227 @t2768)) % 45.25/45.43 (define @t2899 () (tptp.hAPP @t2219 tptp.c_Int_OPls)) % 45.25/45.43 (define @t2900 () (tptp.hAPP @t2219 @t2768)) % 45.25/45.43 (define @t2901 () (tptp.hAPP @t2707 @t2335)) % 45.25/45.43 (define @t2902 () (tptp.c_Int_OBit0 @t2032)) % 45.25/45.43 (define @t2903 () (tptp.hAPP @t2334 @t2902)) % 45.25/45.43 (define @t2904 () (tptp.hAPP @t2334 (tptp.c_Int_OBit0 @t1905))) % 45.25/45.43 (define @t2905 () (tptp.hAPP @t2253 @t2902)) % 45.25/45.43 (define @t2906 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t2907 () (tptp.hAPP @t2334 @t1254)) % 45.25/45.43 (define @t2908 () (tptp.hAPP @t2069 @t72)) % 45.25/45.43 (define @t2909 () (tptp.hAPP @t2253 @t2863)) % 45.25/45.43 (define @t2910 () (@list @t72 @t35)) % 45.25/45.43 (define @t2911 () (tptp.hAPP @t1154 @t2909)) % 45.25/45.43 (define @t2912 () (tptp.hAPP @t2134 @t2872)) % 45.25/45.43 (define @t2913 () (tptp.hAPP @t2141 @t2872)) % 45.25/45.43 (define @t2914 () (tptp.hAPP @t2123 @t2872)) % 45.25/45.43 (define @t2915 () (tptp.hAPP (tptp.hAPP @t1144 @t72) @t72)) % 45.25/45.43 (define @t2916 () (tptp.hAPP (tptp.hAPP @t2121 @t2142) @t2872)) % 45.25/45.43 (define @t2917 () (tptp.hAPP @t2141 @t2874)) % 45.25/45.43 (define @t2918 () (tptp.hAPP tptp.c_Int_Onat @t2864)) % 45.25/45.43 (define @t2919 () (@var "V_r_2" $$unsorted)) % 45.25/45.43 (define @t2920 () (@list @t2919 @t10)) % 45.25/45.43 (define @t2921 () (tptp.hAPP @t2122 @t2872)) % 45.25/45.43 (define @t2922 () (not @t1706)) % 45.25/45.43 (define @t2923 () (tptp.hAPP @t2133 @t49)) % 45.25/45.43 (define @t2924 () (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t2923 @t2872)) (tptp.hAPP (tptp.hAPP @t2133 @t99) @t2872))) % 45.25/45.43 (define @t2925 () (tptp.hAPP @t2237 @t2032)) % 45.25/45.43 (define @t2926 () (tptp.hAPP @t2123 @t1254)) % 45.25/45.43 (define @t2927 () (tptp.hAPP (tptp.hAPP @t1154 @t2926) @t2926)) % 45.25/45.43 (define @t2928 () (@list @t1254 @t34 @t35)) % 45.25/45.43 (define @t2929 () (tptp.hAPP (tptp.hAPP @t1161 @t2914) @t2921)) % 45.25/45.43 (define @t2930 () (tptp.hAPP (tptp.hAPP @t1154 (tptp.hAPP @t2911 @t34)) @t66)) % 45.25/45.43 (define @t2931 () (tptp.hAPP @t2141 @t2875)) % 45.25/45.43 (define @t2932 () (tptp.hAPP @t2338 @t2202)) % 45.25/45.43 (define @t2933 () (tptp.hAPP @t2334 (tptp.c_Int_OBit1 @t1905))) % 45.25/45.43 (define @t2934 () (tptp.hAPP (tptp.hAPP @t2538 @t2933) @t2903)) % 45.25/45.43 (define @t2935 () (tptp.hBOOL (tptp.hAPP @t2398 @t2335))) % 45.25/45.43 (define @t2936 () (not @t2935)) % 45.25/45.43 (define @t2937 () (@list @t1905 @t2032)) % 45.25/45.43 (define @t2938 () (tptp.hAPP @t2714 @t24)) % 45.25/45.43 (define @t2939 () (tptp.hAPP @t2714 @t25)) % 45.25/45.43 (define @t2940 () (tptp.hAPP (tptp.hAPP @t2765 @t25) @t24)) % 45.25/45.43 (define @t2941 () (tptp.c_Nat__Transfer_Onat__set @t24)) % 45.25/45.43 (define @t2942 () (tptp.c_Nat__Transfer_Onat__set @t25)) % 45.25/45.43 (define @t2943 () (tptp.hAPP (tptp.hAPP @t2835 @t25) @t24)) % 45.25/45.43 (define @t2944 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2933 @t2903)) % 45.25/45.43 (define @t2945 () (tptp.hAPP @t2865 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2336 @t2335))) % 45.25/45.43 (define @t2946 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2868 @t2866)) % 45.25/45.43 (define @t2947 () (tptp.hAPP @t2410 @t87)) % 45.25/45.43 (define @t2948 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2947 @t84)) % 45.25/45.43 (define @t2949 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t87 @t84)) % 45.25/45.43 (define @t2950 () (tptp.hAPP @t2410 @t2949)) % 45.25/45.43 (define @t2951 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2950 @t84)) % 45.25/45.43 (define @t2952 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2504 @t1255)) % 45.25/45.43 (define @t2953 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t34 @t1255)) % 45.25/45.43 (define @t2954 () (@list @t66 @t1255 @t34)) % 45.25/45.43 (define @t2955 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t87)) % 45.25/45.43 (define @t2956 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2548 @t87)) % 45.25/45.43 (define @t2957 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t2551)) % 45.25/45.43 (define @t2958 () (tptp.c_Divides_Odiv__class_Omod @t35 @t717 @t84)) % 45.25/45.43 (define @t2959 () (tptp.c_Divides_Odiv__class_Omod @t35 @t87 @t84)) % 45.25/45.43 (define @t2960 () (= @t2959 (tptp.c_Divides_Odiv__class_Omod @t35 @t2420 @t84))) % 45.25/45.43 (define @t2961 () (tptp.c_Divides_Odiv__class_Omod @t35 @t83 @t84)) % 45.25/45.43 (define @t2962 () (= @t2961 (tptp.c_Divides_Odiv__class_Omod @t35 @t2608 @t84))) % 45.25/45.43 (define @t2963 () (tptp.class_Divides_Oring__div @t35)) % 45.25/45.43 (define @t2964 () (@list @t2420 @t87 @t2608 @t84 @t83 @t35)) % 45.25/45.43 (define @t2965 () (tptp.hAPP @t713 @t2961)) % 45.25/45.43 (define @t2966 () (tptp.c_Divides_Odiv__class_Omod @t35 @t1165 @t84)) % 45.25/45.43 (define @t2967 () (tptp.hAPP @t1161 @t2961)) % 45.25/45.43 (define @t2968 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2967 @t87) @t84)) % 45.25/45.43 (define @t2969 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1164 @t2959) @t84)) % 45.25/45.43 (define @t2970 () (tptp.c_Divides_Odiv__class_Omod @t35 @t83 @t87)) % 45.25/45.43 (define @t2971 () (tptp.c_Divides_Odiv__class_Omod @t35 @t222 @t87)) % 45.25/45.43 (define @t2972 () (tptp.c_Divides_Odiv__class_Omod @t35 @t1160 @t84)) % 45.25/45.43 (define @t2973 () (tptp.hAPP @t1154 @t2961)) % 45.25/45.43 (define @t2974 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2973 @t87) @t84)) % 45.25/45.43 (define @t2975 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t34 @t66)) % 45.25/45.43 (define @t2976 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2955) @t87))) % 45.25/45.43 (define @t2977 () (@list @t83 @t87)) % 45.25/45.43 (define @t2978 () (tptp.hBOOL (tptp.hAPP @t2433 @t2955))) % 45.25/45.43 (define @t2979 () (@list @t170 @t402)) % 45.25/45.43 (define @t2980 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1258 @t1331)) % 45.25/45.43 (define @t2981 () (not (= @t2980 @t2207))) % 45.25/45.43 (define @t2982 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1258 @t2654)) % 45.25/45.43 (define @t2983 () (tptp.hAPP @t2862 @t84)) % 45.25/45.43 (define @t2984 () (tptp.hAPP @t2227 @t83)) % 45.25/45.43 (define @t2985 () (tptp.hAPP @t2984 @t87)) % 45.25/45.43 (define @t2986 () (tptp.hAPP (tptp.hAPP @t1154 @t2583) @t87)) % 45.25/45.43 (define @t2987 () (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t1169 @t2583)) @t2970)) % 45.25/45.43 (define @t2988 () (tptp.hAPP (tptp.hAPP @t1161 @t2986) @t2970)) % 45.25/45.43 (define @t2989 () (tptp.hBOOL (tptp.hAPP @t2398 @t2955))) % 45.25/45.43 (define @t2990 () (= @t2955 @t83)) % 45.25/45.43 (define @t2991 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2955) @t2207))) % 45.25/45.43 (define @t2992 () (= @t2955 @t2207)) % 45.25/45.43 (define @t2993 () (not @t2992)) % 45.25/45.43 (define @t2994 () (tptp.hAPP @t2219 @t87)) % 45.25/45.43 (define @t2995 () (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2428 @t2555)) @t2955)) % 45.25/45.43 (define @t2996 () (tptp.hAPP @t2984 @t1258)) % 45.25/45.43 (define @t2997 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1255 @t1254)) % 45.25/45.43 (define @t2998 () (tptp.hAPP @t2219 @t1255)) % 45.25/45.43 (define @t2999 () (tptp.hAPP (tptp.hAPP @t2538 @t1255) @t1254)) % 45.25/45.43 (define @t3000 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2985) @t2207))) % 45.25/45.43 (define @t3001 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t49 @t99))) % 45.25/45.43 (define @t3002 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2459 @t49) @t25))) % 45.25/45.43 (define @t3003 () (@list @t49 @t25)) % 45.25/45.43 (define @t3004 () (tptp.hBOOL (tptp.hAPP @t58 @t1848))) % 45.25/45.43 (define @t3005 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t445 @t160)) % 45.25/45.43 (define @t3006 () (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2428 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2120 @t84))) @t1829)) % 45.25/45.43 (define @t3007 () (@list @t2120 @t87 @t1829 @t84)) % 45.25/45.43 (define @t3008 () (@list @t2120 @t1829 @t87 @t84)) % 45.25/45.43 (define @t3009 () (@var "V_q_1" $$unsorted)) % 45.25/45.43 (define @t3010 () (tptp.hAPP @t2235 @t2555)) % 45.25/45.43 (define @t3011 () (tptp.hAPP (tptp.hAPP @t2219 @t3010) @t2202)) % 45.25/45.43 (define @t3012 () (not (= @t87 @t2207))) % 45.25/45.43 (define @t3013 () (tptp.hBOOL (tptp.hAPP @t1967 @t1848))) % 45.25/45.43 (define @t3014 () (tptp.hBOOL (tptp.hAPP @t2638 @t3005))) % 45.25/45.43 (define @t3015 () (@list @t445 @t58 @t160)) % 45.25/45.43 (define @t3016 () (tptp.c_SMT_Oz3mod @t1258 @t1331)) % 45.25/45.43 (define @t3017 () (tptp.hAPP @t2253 tptp.c_Int_OMin)) % 45.25/45.43 (define @t3018 () (tptp.hAPP @t2121 @t3017)) % 45.25/45.43 (define @t3019 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1701 @t2521)) % 45.25/45.43 (define @t3020 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1255 @t1254)) % 45.25/45.43 (define @t3021 () (tptp.hAPP @t1080 @t3020)) % 45.25/45.43 (define @t3022 () (tptp.hAPP @t2208 tptp.c_Int_OMin)) % 45.25/45.43 (define @t3023 () (=> @t1328 (= @t3020 @t1255))) % 45.25/45.43 (define @t3024 () (tptp.hAPP tptp.c_Nat_OSuc @t3020)) % 45.25/45.43 (define @t3025 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1575 @t1254)) % 45.25/45.43 (define @t3026 () (tptp.hAPP @t2245 tptp.c_Int_OMin)) % 45.25/45.43 (define @t3027 () (= @t3024 @t1254)) % 45.25/45.43 (define @t3028 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1257 @t1254)) % 45.25/45.43 (define @t3029 () (= @t3020 @t3028)) % 45.25/45.43 (define @t3030 () (=> @t1406 @t3029)) % 45.25/45.43 (define @t3031 () (tptp.hAPP (tptp.hAPP @t1144 @t1314) @t1255)) % 45.25/45.43 (define @t3032 () (tptp.hBOOL (tptp.hAPP @t2346 tptp.c_Int_OMin))) % 45.25/45.43 (define @t3033 () (tptp.hBOOL (tptp.hAPP @t3022 @t160))) % 45.25/45.43 (define @t3034 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t34 @t66)) % 45.25/45.43 (define @t3035 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t83 @t87)) % 45.25/45.43 (define @t3036 () (tptp.hAPP @t2334 tptp.c_Int_OMin)) % 45.25/45.43 (define @t3037 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t87 @t84)) % 45.25/45.43 (define @t3038 () (tptp.hAPP (tptp.hAPP @t2669 @t87) @t84)) % 45.25/45.43 (define @t3039 () (tptp.hAPP (tptp.hAPP @t1144 @t83) @t87)) % 45.25/45.43 (define @t3040 () (tptp.hAPP @t214 @t72)) % 45.25/45.43 (define @t3041 () (tptp.hAPP @t1264 @t83)) % 45.25/45.43 (define @t3042 () (tptp.hAPP @t3041 @t87)) % 45.25/45.43 (define @t3043 () (tptp.hAPP @t1256 @t3020)) % 45.25/45.43 (define @t3044 () (tptp.hAPP (tptp.hAPP @t1264 @t2672) @t1254)) % 45.25/45.43 (define @t3045 () (tptp.hAPP @t2219 tptp.c_Int_OMin)) % 45.25/45.43 (define @t3046 () (tptp.hAPP @t3045 @t1331)) % 45.25/45.43 (define @t3047 () (tptp.c_Int_OBit1 @t3046)) % 45.25/45.43 (define @t3048 () (tptp.hAPP (tptp.hAPP @t2165 @t1255) @t1254)) % 45.25/45.43 (define @t3049 () (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2675 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2120 @t84))) @t1829)) % 45.25/45.43 (define @t3050 () (tptp.hBOOL (tptp.hAPP @t1703 @t84))) % 45.25/45.43 (define @t3051 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2678 @t2677)) % 45.25/45.43 (define @t3052 () (tptp.hAPP tptp.c_Int_Onat @t2975)) % 45.25/45.43 (define @t3053 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2197 @t2521)) % 45.25/45.43 (define @t3054 () (tptp.hAPP @t2994 @t2202)) % 45.25/45.43 (define @t3055 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t402 @t2872)) % 45.25/45.43 (define @t3056 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3057 () (tptp.hAPP @t3056 @t2863)) % 45.25/45.43 (define @t3058 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3059 () (tptp.hAPP @t2865 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t3058 @t1258) @t3057)))) % 45.25/45.43 (define @t3060 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t1258)) % 45.25/45.43 (define @t3061 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3062 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1258 @t3057) @t3061)) % 45.25/45.43 (define @t3063 () (= @t1258 @t3061)) % 45.25/45.43 (define @t3064 () (tptp.c_Nat__Transfer_Ois__nat @t49)) % 45.25/45.43 (define @t3065 () (@var "V_K_2" $$unsorted)) % 45.25/45.43 (define @t3066 () (tptp.hAPP @t2 @t1966)) % 45.25/45.43 (define @t3067 () (tptp.hAPP @t203 @t1966)) % 45.25/45.43 (define @t3068 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3069 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3070 () (tptp.c_Nat__Transfer_Ois__nat @t66)) % 45.25/45.43 (define @t3071 () (tptp.c_Nat__Transfer_Ois__nat @t34)) % 45.25/45.43 (define @t3072 () (tptp.c_Int_Oring__1__class_Oof__int @t35)) % 45.25/45.43 (define @t3073 () (tptp.hAPP @t3072 @t1258)) % 45.25/45.43 (define @t3074 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1258) @t2207))) % 45.25/45.43 (define @t3075 () (tptp.hAPP @t3069 @t1274)) % 45.25/45.43 (define @t3076 () (tptp.c_Code__Numeral_Onat__of__aux @t1274 @t1254)) % 45.25/45.43 (define @t3077 () (= @t1274 @t3061)) % 45.25/45.43 (define @t3078 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3079 () (tptp.c_Int_Oring__1__class_Oof__int @t10)) % 45.25/45.43 (define @t3080 () (tptp.hAPP @t3079 @t348)) % 45.25/45.43 (define @t3081 () (tptp.hAPP @t3079 @t1432)) % 45.25/45.43 (define @t3082 () (@list @t348 @t1432 @t10)) % 45.25/45.43 (define @t3083 () (= @t348 @t2207)) % 45.25/45.43 (define @t3084 () (tptp.hAPP @t3072 @t72)) % 45.25/45.43 (define @t3085 () (tptp.hAPP @t3072 @t2032)) % 45.25/45.43 (define @t3086 () (@var "V_code__numeral" $$unsorted)) % 45.25/45.43 (define @t3087 () (tptp.c_Code__Numeral_OSuc__code__numeral @t3086)) % 45.25/45.43 (define @t3088 () (@list @t3086)) % 45.25/45.43 (define @t3089 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3090 () (tptp.hBOOL (tptp.hAPP @t1703 @t1593))) % 45.25/45.43 (define @t3091 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3092 () (tptp.hAPP (tptp.hAPP @t2165 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t3091 (tptp.hAPP @t2503 @t72))) @t2202)) @t368)) % 45.25/45.43 (define @t3093 () (tptp.hBOOL (tptp.hAPP @t2209 @t368))) % 45.25/45.43 (define @t3094 () (tptp.c_Groups_Oabs__class_Oabs @t35)) % 45.25/45.43 (define @t3095 () (tptp.hAPP @t3094 @t715)) % 45.25/45.43 (define @t3096 () (tptp.hAPP @t3094 @t717)) % 45.25/45.43 (define @t3097 () (tptp.class_Groups_Oordered__ab__group__add__abs @t35)) % 45.25/45.43 (define @t3098 () (tptp.hAPP @t3094 @t83)) % 45.25/45.43 (define @t3099 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t3098) @t87))) % 45.25/45.43 (define @t3100 () (tptp.hAPP @t3094 @t87)) % 45.25/45.43 (define @t3101 () (= (tptp.hAPP @t3094 @t1986) (tptp.hAPP (tptp.hAPP @t1978 @t3098) @t3100))) % 45.25/45.43 (define @t3102 () (tptp.hAPP @t1154 @t3098)) % 45.25/45.43 (define @t3103 () (tptp.hAPP @t3102 @t3100)) % 45.25/45.43 (define @t3104 () (= (tptp.hAPP @t3094 @t1160) @t3103)) % 45.25/45.43 (define @t3105 () (tptp.hAPP @t2121 @t3098)) % 45.25/45.43 (define @t3106 () (tptp.hAPP @t3105 @t1254)) % 45.25/45.43 (define @t3107 () (tptp.hAPP @t3094 @t2142)) % 45.25/45.43 (define @t3108 () (tptp.hAPP (tptp.hAPP @t1161 @t3098) @t3100)) % 45.25/45.43 (define @t3109 () (tptp.c_Groups_Oabs__class_Oabs @t10)) % 45.25/45.43 (define @t3110 () (tptp.hAPP @t3109 @t153)) % 45.25/45.43 (define @t3111 () (tptp.class_Groups_Oordered__ab__group__add__abs @t10)) % 45.25/45.43 (define @t3112 () (@var "V_code__numeral_H_2" $$unsorted)) % 45.25/45.43 (define @t3113 () (@var "V_code__numeral_2" $$unsorted)) % 45.25/45.43 (define @t3114 () (tptp.c_Code__Numeral_OSuc__code__numeral @t3113)) % 45.25/45.43 (define @t3115 () (tptp.hAPP @t101 @t3110)) % 45.25/45.43 (define @t3116 () (= @t3098 @t83)) % 45.25/45.43 (define @t3117 () (tptp.hAPP @t447 @t3098)) % 45.25/45.43 (define @t3118 () (tptp.hAPP (tptp.hAPP @t713 @t3098) @t3100)) % 45.25/45.43 (define @t3119 () (tptp.hAPP @t36 @t3118)) % 45.25/45.43 (define @t3120 () (tptp.hAPP @t36 @t222)) % 45.25/45.43 (define @t3121 () (tptp.hBOOL (tptp.hAPP @t3120 @t87))) % 45.25/45.43 (define @t3122 () (tptp.hAPP @t3094 @t34)) % 45.25/45.43 (define @t3123 () (@var "V_code__numeral_H" $$unsorted)) % 45.25/45.43 (define @t3124 () (@var "V_code__numeral_H_1" $$unsorted)) % 45.25/45.43 (define @t3125 () (= @t3098 @t222)) % 45.25/45.43 (define @t3126 () (=> @t1809 @t3125)) % 45.25/45.43 (define @t3127 () (and @t2261 @t550)) % 45.25/45.43 (define @t3128 () (tptp.hAPP @t3091 @t1274)) % 45.25/45.43 (define @t3129 () (tptp.hBOOL (tptp.hAPP @t2212 @t2207))) % 45.25/45.43 (define @t3130 () (tptp.hAPP @t3091 @t34)) % 45.25/45.43 (define @t3131 () (tptp.hAPP @t2253 @t34)) % 45.25/45.43 (define @t3132 () (tptp.hAPP @t3094 @t3131)) % 45.25/45.43 (define @t3133 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t3131) @t1707))) % 45.25/45.43 (define @t3134 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3091 @t66))) % 45.25/45.43 (define @t3135 () (tptp.hAPP tptp.c_Int_Onat @t3130)) % 45.25/45.43 (define @t3136 () (@var "V_f2_2" $$unsorted)) % 45.25/45.43 (define @t3137 () (tptp.hAPP @t3136 @t3113)) % 45.25/45.43 (define @t3138 () (@var "V_f1_2" $$unsorted)) % 45.25/45.43 (define @t3139 () (@list @t3113 @t3136 @t3138 @t10)) % 45.25/45.43 (define @t3140 () (= @t3066 @t160)) % 45.25/45.43 (define @t3141 () (tptp.hBOOL (tptp.hAPP @t1969 @t445))) % 45.25/45.43 (define @t3142 () (tptp.hBOOL (tptp.hAPP @t2346 @t646))) % 45.25/45.43 (define @t3143 () (tptp.hAPP @t1144 @t1966)) % 45.25/45.43 (define @t3144 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.hAPP @t3091 (tptp.hAPP (tptp.hAPP @t2219 (tptp.hAPP @t2 (tptp.hAPP @t3143 @t1569))) @t3066))) @t2202))) % 45.25/45.43 (define @t3145 () (tptp.hAPP @t1323 @t1966)) % 45.25/45.43 (define @t3146 () (tptp.hBOOL (tptp.hAPP @t3145 @t445))) % 45.25/45.43 (define @t3147 () (@list @t3136 @t3138 @t10)) % 45.25/45.43 (define @t3148 () (tptp.c_Nitpick_Onat__gcd @t34 @t66)) % 45.25/45.43 (define @t3149 () (tptp.hAPP tptp.c_Nat_OSuc @t1966)) % 45.25/45.43 (define @t3150 () (tptp.hBOOL (tptp.hAPP @t1083 @t1966))) % 45.25/45.43 (define @t3151 () (= @t66 @t1700)) % 45.25/45.43 (define @t3152 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3153 () (tptp.c_Random_Olog @t87 @t1274)) % 45.25/45.43 (define @t3154 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3155 () (tptp.hAPP @t3154 @t1274)) % 45.25/45.43 (define @t3156 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3157 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3156 @t87) @t3068)) (tptp.hBOOL (tptp.hAPP @t3155 @t87)))) % 45.25/45.43 (define @t3158 () (@var "B_e" $$unsorted)) % 45.25/45.43 (define @t3159 () (tptp.c_Random_Ominus__shift @t1829 @t1258 @t1331)) % 45.25/45.43 (define @t3160 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3154 @t1258) @t1331))) % 45.25/45.43 (define @t3161 () (not @t3160)) % 45.25/45.43 (define @t3162 () (tptp.c_Random_Oinc__shift @t1905 @t1258)) % 45.25/45.43 (define @t3163 () (= @t1905 @t1258)) % 45.25/45.43 (define @t3164 () (tptp.hAPP (tptp.hAPP @t3069 @t1254) @t1255)) % 45.25/45.43 (define @t3165 () (@var "V_fb_2" $$unsorted)) % 45.25/45.43 (define @t3166 () (@var "V_fa_2" $$unsorted)) % 45.25/45.43 (define @t3167 () (tptp.hAPP @t1144 (tptp.hAPP @t3166 @t153))) % 45.25/45.43 (define @t3168 () (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t40 @t153 @t171)) % 45.25/45.43 (define @t3169 () (tptp.hAPP @t1246 @t1569)) % 45.25/45.43 (define @t3170 () (tptp.hAPP @t2227 @t153)) % 45.25/45.43 (define @t3171 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3172 () (@list @t445 @t170 @t153)) % 45.25/45.43 (define @t3173 () (tptp.hAPP @t2865 @t2335)) % 45.25/45.43 (define @t3174 () (tptp.c_Divides_Oadjust @t2335)) % 45.25/45.43 (define @t3175 () (tptp.c_Divides_OnegDivAlg @t2202 @t2335)) % 45.25/45.43 (define @t3176 () (tptp.hAPP @t2389 @t2335)) % 45.25/45.43 (define @t3177 () (tptp.hBOOL (tptp.hAPP @t2398 @t3176))) % 45.25/45.43 (define @t3178 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3179 () (tptp.hAPP @t3178 @t3036)) % 45.25/45.43 (define @t3180 () (tptp.hBOOL (tptp.hAPP @t2209 @t2335))) % 45.25/45.43 (define @t3181 () (tptp.c_Fun_Ocomp @t40 @t1118 @t10 @t1)) % 45.25/45.43 (define @t3182 () (tptp.c_Groups_Otimes__class_Otimes @t1118)) % 45.25/45.43 (define @t3183 () (tptp.c_Finite__Set_Ofold__image @t1118 @t10 @t3182)) % 45.25/45.43 (define @t3184 () (tptp.c_Finite__Set_Ofold__image @t1118 @t40 @t3182)) % 45.25/45.43 (define @t3185 () (tptp.hAPP @t3184 @t1)) % 45.25/45.43 (define @t3186 () (tptp.tc_fun @t1118 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3187 () (tptp.tc_fun @t40 @t3186)) % 45.25/45.43 (define @t3188 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3187)) % 45.25/45.43 (define @t3189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3188 @t25) @t24) @t171) @t174))) % 45.25/45.43 (define @t3190 () (tptp.hAPP @t24 @t153)) % 45.25/45.43 (define @t3191 () (tptp.hAPP @t3190 @t171)) % 45.25/45.43 (define @t3192 () (tptp.hBOOL (tptp.hAPP @t3191 @t174))) % 45.25/45.43 (define @t3193 () (tptp.hBOOL @t3191)) % 45.25/45.43 (define @t3194 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t569)) % 45.25/45.43 (define @t3195 () (tptp.hAPP @t3194 @t25)) % 45.25/45.43 (define @t3196 () (tptp.hAPP @t3195 @t24)) % 45.25/45.43 (define @t3197 () (tptp.hBOOL (tptp.hAPP @t3196 @t171))) % 45.25/45.43 (define @t3198 () (@list @t153 @t171 @t24 @t25 @t40 @t10)) % 45.25/45.43 (define @t3199 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3187)) % 45.25/45.43 (define @t3200 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3199 @t25) @t24) @t171) @t174))) % 45.25/45.43 (define @t3201 () (@list @t153 @t174 @t171 @t24 @t25 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3202 () (tptp.hAPP @t864 @t153)) % 45.25/45.43 (define @t3203 () (tptp.hBOOL (tptp.hAPP @t3202 @t25))) % 45.25/45.43 (define @t3204 () (tptp.hBOOL (tptp.hAPP @t863 @t3190))) % 45.25/45.43 (define @t3205 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t40 @t27)) % 45.25/45.43 (define @t3206 () (tptp.hAPP @t3205 @t25)) % 45.25/45.43 (define @t3207 () (tptp.hAPP @t3206 @t24)) % 45.25/45.43 (define @t3208 () (tptp.hBOOL (tptp.hAPP @t863 @t3207))) % 45.25/45.43 (define @t3209 () (@list @t153 @t24 @t25 @t40 @t171 @t10)) % 45.25/45.43 (define @t3210 () (@var "V_I_2" $$unsorted)) % 45.25/45.43 (define @t3211 () (tptp.hAPP (tptp.hAPP @t3194 @t3210) @t25)) % 45.25/45.43 (define @t3212 () (tptp.hAPP @t25 @t3)) % 45.25/45.43 (define @t3213 () (tptp.hBOOL (tptp.hAPP @t763 @t3212))) % 45.25/45.43 (define @t3214 () (tptp.hBOOL (tptp.hAPP @t204 @t3210))) % 45.25/45.43 (define @t3215 () (tptp.hBOOL (tptp.hAPP @t905 @t3190))) % 45.25/45.43 (define @t3216 () (@list @t24 @t171 @t40 @t25 @t153 @t10)) % 45.25/45.43 (define @t3217 () (tptp.hBOOL (tptp.hAPP @t779 @t171))) % 45.25/45.43 (define @t3218 () (tptp.c_COMBB @t10 @t10 @t40)) % 45.25/45.43 (define @t3219 () (tptp.hAPP (tptp.hAPP @t3218 @t3109) @t2)) % 45.25/45.43 (define @t3220 () (tptp.hAPP (tptp.hAPP @t1834 @t3219) @t25)) % 45.25/45.43 (define @t3221 () (tptp.hAPP @t1835 @t25)) % 45.25/45.43 (define @t3222 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 @t40) @t3079) @t2)) % 45.25/45.43 (define @t3223 () (tptp.c_COMBK @t10 @t40)) % 45.25/45.43 (define @t3224 () (tptp.hAPP @t3223 @t1704)) % 45.25/45.43 (define @t3225 () (@list @t25 @t40 @t10)) % 45.25/45.43 (define @t3226 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 @t40) @t2771) @t2)) % 45.25/45.43 (define @t3227 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t40 tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3228 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Nat_Onat) @t2)) % 45.25/45.43 (define @t3229 () (tptp.hAPP @t1073 (tptp.hAPP @t3228 tptp.c_Nat_OSuc))) % 45.25/45.43 (define @t3230 () (@list @t445 @t402 @t2 @t10)) % 45.25/45.43 (define @t3231 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t10) @t2754) @t2)) % 45.25/45.43 (define @t3232 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3233 () (tptp.hAPP (tptp.hAPP @t3232 @t3231) @t25)) % 45.25/45.43 (define @t3234 () (@list @t25 @t2 @t10)) % 45.25/45.43 (define @t3235 () (tptp.c_Set_Oimage @t40 @t1118 @t1)) % 45.25/45.43 (define @t3236 () (tptp.c_Set_Oimage @t1118 @t10 @t2)) % 45.25/45.43 (define @t3237 () (tptp.tc_fun @t1118 @t40)) % 45.25/45.43 (define @t3238 () (tptp.hAPP @t3194 @t143)) % 45.25/45.43 (define @t3239 () (tptp.hAPP (tptp.c_COMBC @t40 @t569 tptp.tc_HOL_Obool) @t864)) % 45.25/45.43 (define @t3240 () (tptp.c_COMBB @t569 @t569 @t10)) % 45.25/45.43 (define @t3241 () (tptp.hAPP (tptp.hAPP @t3240 @t3239) @t2919)) % 45.25/45.43 (define @t3242 () (@list @t49 @t2919 @t40 @t10)) % 45.25/45.43 (define @t3243 () (tptp.tc_prod @t40 @t1118)) % 45.25/45.43 (define @t3244 () (tptp.tc_fun @t3243 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3245 () (tptp.c_Product__Type_OPair @t40 @t1118)) % 45.25/45.43 (define @t3246 () (tptp.hAPP (tptp.hAPP @t3245 @t49) @t99)) % 45.25/45.43 (define @t3247 () (tptp.c_member @t3243)) % 45.25/45.43 (define @t3248 () (tptp.hAPP @t3247 @t3246)) % 45.25/45.43 (define @t3249 () (tptp.tc_fun @t3244 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3250 () (tptp.tc_fun @t1118 @t3249)) % 45.25/45.43 (define @t3251 () (tptp.tc_fun @t1118 @t3243)) % 45.25/45.43 (define @t3252 () (tptp.hAPP (tptp.c_COMBC @t40 @t3244 @t3186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3250 (tptp.tc_fun @t3244 @t3186) @t40) (tptp.c_COMBC @t1118 @t3244 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3251 @t3250 @t40) (tptp.hAPP (tptp.c_COMBB @t3243 @t3249 @t1118) @t3247)) @t3245)))) % 45.25/45.43 (define @t3253 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3244 @t3187 @t10) @t3252) @t2919)) % 45.25/45.43 (define @t3254 () (@list @t99 @t49 @t2919 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3255 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1149) @t1349)) % 45.25/45.43 (define @t3256 () (tptp.c_COMBK @t569 @t10)) % 45.25/45.43 (define @t3257 () (tptp.hAPP @t3256 @t174)) % 45.25/45.43 (define @t3258 () (tptp.hAPP @t3195 @t3257)) % 45.25/45.43 (define @t3259 () (@list @t174 @t40 @t10 @t25)) % 45.25/45.43 (define @t3260 () (forall @t7 (=> @t891 (= @t775 @t143)))) % 45.25/45.43 (define @t3261 () (@list @t24 @t25 @t10 @t40)) % 45.25/45.43 (define @t3262 () (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t51)) % 45.25/45.43 (define @t3263 () (= (tptp.hAPP @t3262 @t51) @t51)) % 45.25/45.43 (define @t3264 () (tptp.c_COMBC @t10 @t27 @t27)) % 45.25/45.43 (define @t3265 () (tptp.hAPP (tptp.hAPP @t3264 @t440) @t142)) % 45.25/45.43 (define @t3266 () (tptp.hAPP (tptp.hAPP @t3240 @t581) @t24)) % 45.25/45.43 (define @t3267 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t236) @t25))) % 45.25/45.43 (define @t3268 () (@list @t24 @t153 @t40 @t25 @t236 @t10)) % 45.25/45.43 (define @t3269 () (tptp.c_COMBK @t40 @t10)) % 45.25/45.43 (define @t3270 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 (tptp.hAPP @t3269 @t174)) @t25)) % 45.25/45.43 (define @t3271 () (= @t3270 (tptp.hAPP (tptp.hAPP @t580 @t174) @t573))) % 45.25/45.43 (define @t3272 () (tptp.hAPP @t777 @t143)) % 45.25/45.43 (define @t3273 () (tptp.hAPP (tptp.hAPP @t777 @t3210) @t25)) % 45.25/45.43 (define @t3274 () (tptp.hAPP @t25 @t160)) % 45.25/45.43 (define @t3275 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t160) @t3210))) % 45.25/45.43 (define @t3276 () (@list @t25 @t40 @t3210 @t160 @t10)) % 45.25/45.43 (define @t3277 () (tptp.hAPP @t3194 @t62)) % 45.25/45.43 (define @t3278 () (tptp.hAPP @t611 (tptp.hAPP @t3277 @t24))) % 45.25/45.43 (define @t3279 () (tptp.hAPP @t3277 (tptp.hAPP (tptp.hAPP @t3240 @t611) @t24))) % 45.25/45.43 (define @t3280 () (= @t62 @t142)) % 45.25/45.43 (define @t3281 () (not @t3280)) % 45.25/45.43 (define @t3282 () (@list @t24 @t25 @t40 @t10 @t62)) % 45.25/45.43 (define @t3283 () (tptp.hAPP @t3277 @t25)) % 45.25/45.43 (define @t3284 () (tptp.hAPP (tptp.hAPP @t610 @t3283) @t24)) % 45.25/45.43 (define @t3285 () (tptp.tc_fun @t569 @t569)) % 45.25/45.43 (define @t3286 () (tptp.c_COMBB @t569 @t3285 @t10)) % 45.25/45.43 (define @t3287 () (tptp.hAPP (tptp.hAPP @t3286 @t610) @t25)) % 45.25/45.43 (define @t3288 () (tptp.c_COMBC @t10 @t569 @t569)) % 45.25/45.43 (define @t3289 () (tptp.hAPP @t3277 (tptp.hAPP (tptp.hAPP @t3288 @t3287) @t24))) % 45.25/45.43 (define @t3290 () (tptp.hAPP @t777 @t62)) % 45.25/45.43 (define @t3291 () (tptp.hAPP @t3290 @t24)) % 45.25/45.43 (define @t3292 () (tptp.hAPP @t581 @t3291)) % 45.25/45.43 (define @t3293 () (tptp.hAPP @t3290 @t3266)) % 45.25/45.43 (define @t3294 () (@list @t24 @t153 @t40 @t10 @t62)) % 45.25/45.43 (define @t3295 () (tptp.hAPP @t581 @t573)) % 45.25/45.43 (define @t3296 () (tptp.tc_fun @t40 @t40)) % 45.25/45.43 (define @t3297 () (tptp.c_COMBB @t40 @t3296 @t10)) % 45.25/45.43 (define @t3298 () (tptp.c_COMBS @t10 @t40 @t40)) % 45.25/45.43 (define @t3299 () (tptp.hAPP (tptp.hAPP @t3298 (tptp.hAPP (tptp.hAPP @t3297 @t1459) @t1)) @t761)) % 45.25/45.43 (define @t3300 () (@list @t761 @t1 @t25 @t10 @t40)) % 45.25/45.43 (define @t3301 () (tptp.hAPP @t3286 @t606)) % 45.25/45.43 (define @t3302 () (tptp.hAPP @t3301 @t25)) % 45.25/45.43 (define @t3303 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t3288 @t3302) @t24))) % 45.25/45.43 (define @t3304 () (tptp.hAPP (tptp.hAPP @t606 (tptp.hAPP @t3290 @t25)) @t24)) % 45.25/45.43 (define @t3305 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t3240 @t607) @t24))) % 45.25/45.43 (define @t3306 () (tptp.hAPP @t607 @t3291)) % 45.25/45.43 (define @t3307 () (tptp.hAPP @t581 @t25)) % 45.25/45.43 (define @t3308 () (@list @t24 @t25 @t153 @t10 @t40)) % 45.25/45.43 (define @t3309 () (tptp.c_COMBB @t27 @t27 @t40)) % 45.25/45.43 (define @t3310 () (tptp.hAPP @t3205 @t62)) % 45.25/45.43 (define @t3311 () (tptp.hAPP @t3310 (tptp.hAPP (tptp.hAPP @t3309 @t493) @t24))) % 45.25/45.43 (define @t3312 () (tptp.hAPP @t3310 @t24)) % 45.25/45.43 (define @t3313 () (tptp.hAPP @t493 @t3312)) % 45.25/45.43 (define @t3314 () (tptp.hAPP @t3269 @t753)) % 45.25/45.43 (define @t3315 () (@list @t753 @t10 @t25 @t40)) % 45.25/45.43 (define @t3316 () (forall @t7 (=> @t891 (= @t775 @t142)))) % 45.25/45.43 (define @t3317 () (tptp.c_COMBK @t27 @t40)) % 45.25/45.43 (define @t3318 () (tptp.hAPP @t778 @t3257)) % 45.25/45.43 (define @t3319 () (@var "V_b_H_2" $$unsorted)) % 45.25/45.43 (define @t3320 () (@var "V_a_H_2" $$unsorted)) % 45.25/45.43 (define @t3321 () (= @t153 @t3320)) % 45.25/45.43 (define @t3322 () (and @t3321 (= @t171 @t3319))) % 45.25/45.43 (define @t3323 () (@list @t3319 @t3320 @t171 @t153 @t40 @t10)) % 45.25/45.43 (define @t3324 () (tptp.hAPP (tptp.hAPP @t3309 @t184) @t24)) % 45.25/45.43 (define @t3325 () (tptp.tc_fun @t10 @t10)) % 45.25/45.43 (define @t3326 () (tptp.c_COMBB @t10 @t3325 @t40)) % 45.25/45.43 (define @t3327 () (tptp.hAPP (tptp.hAPP @t3326 @t2) @t1)) % 45.25/45.43 (define @t3328 () (tptp.c_COMBC @t40 @t10 @t10)) % 45.25/45.43 (define @t3329 () (@list @t2919 @t25 @t2 @t40 @t10)) % 45.25/45.43 (define @t3330 () (tptp.c_Complete__Lattice_OSup__class_OSup @t569 @t25)) % 45.25/45.43 (define @t3331 () (tptp.hAPP (tptp.hAPP @t892 @t3330) @t24)) % 45.25/45.43 (define @t3332 () (tptp.tc_fun @t40 @t27)) % 45.25/45.43 (define @t3333 () (tptp.c_COMBC @t569 @t3332 @t27)) % 45.25/45.43 (define @t3334 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t569 @t27)) % 45.25/45.43 (define @t3335 () (tptp.hAPP @t3334 @t25)) % 45.25/45.43 (define @t3336 () (tptp.hAPP @t3335 (tptp.hAPP (tptp.hAPP @t3333 @t892) @t24))) % 45.25/45.43 (define @t3337 () (tptp.c_COMBC @t40 @t1118 @t10)) % 45.25/45.43 (define @t3338 () (tptp.hAPP @t3337 @t2)) % 45.25/45.43 (define @t3339 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1118 @t10)) % 45.25/45.43 (define @t3340 () (tptp.tc_fun @t1118 @t10)) % 45.25/45.43 (define @t3341 () (tptp.c_COMBB @t3340 (tptp.tc_fun @t3186 @t10) @t40)) % 45.25/45.43 (define @t3342 () (tptp.hAPP @t3341 @t3339)) % 45.25/45.43 (define @t3343 () (tptp.c_COMBC @t40 @t3186 @t10)) % 45.25/45.43 (define @t3344 () (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t3343 (tptp.hAPP @t3342 @t2)) @t24)) @t25)) % 45.25/45.43 (define @t3345 () (@list @t25 @t24 @t2 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3346 () (tptp.hAPP @t3338 @t49)) % 45.25/45.43 (define @t3347 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t10)) % 45.25/45.43 (define @t3348 () (tptp.hAPP @t3347 @t25)) % 45.25/45.43 (define @t3349 () (@list @t49 @t2 @t25 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3350 () (@var "V_x_H_2" $$unsorted)) % 45.25/45.43 (define @t3351 () (@var "V_g_H_2" $$unsorted)) % 45.25/45.43 (define @t3352 () (@var "V_f_H_2" $$unsorted)) % 45.25/45.43 (define @t3353 () (@var "T_f" $$unsorted)) % 45.25/45.43 (define @t3354 () (@var "T_e" $$unsorted)) % 45.25/45.43 (define @t3355 () (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t10 @t1118 @t2) @t1)) % 45.25/45.43 (define @t3356 () (tptp.hAPP @t3355 @t49)) % 45.25/45.43 (define @t3357 () (tptp.hAPP @t153 (tptp.hAPP @t171 @t2107))) % 45.25/45.43 (define @t3358 () (= @t3357 (tptp.hAPP @t174 @t2107))) % 45.25/45.43 (define @t3359 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t40 @t10 @t153) @t171)) % 45.25/45.43 (define @t3360 () (@list @t2107 @t174 @t171 @t153 @t10 @t40 @t1118)) % 45.25/45.43 (define @t3361 () (tptp.hAPP @t3223 @t174)) % 45.25/45.43 (define @t3362 () (tptp.c_COMBB @t146 @t10 @t1118)) % 45.25/45.43 (define @t3363 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1118 @t10) @t24)) % 45.25/45.43 (define @t3364 () (tptp.c_COMBB @t3340 @t10 @t40)) % 45.25/45.43 (define @t3365 () (@list @t2 @t24 @t1118 @t25 @t40 @t10)) % 45.25/45.43 (define @t3366 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t3186)) % 45.25/45.43 (define @t3367 () (tptp.hAPP (tptp.hAPP @t3366 @t25) @t24)) % 45.25/45.43 (define @t3368 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1118 @t27)) % 45.25/45.43 (define @t3369 () (tptp.tc_fun @t1118 @t27)) % 45.25/45.43 (define @t3370 () (tptp.c_COMBB @t3186 (tptp.tc_fun @t3369 @t27) @t40)) % 45.25/45.43 (define @t3371 () (tptp.c_COMBC @t40 @t3369 @t27)) % 45.25/45.43 (define @t3372 () (@list @t62 @t24 @t1118 @t25 @t10 @t40)) % 45.25/45.43 (define @t3373 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1118 @t27)) % 45.25/45.43 (define @t3374 () (tptp.c_COMBB @t569 (tptp.tc_fun @t3332 @t27) @t1118)) % 45.25/45.43 (define @t3375 () (tptp.c_COMBC @t1118 @t3332 @t27)) % 45.25/45.43 (define @t3376 () (tptp.hAPP @t3368 @t25)) % 45.25/45.43 (define @t3377 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1118 @t569) @t25) @t24)) % 45.25/45.43 (define @t3378 () (@list @t62 @t24 @t25 @t1118 @t10 @t40)) % 45.25/45.43 (define @t3379 () (tptp.hAPP @t3373 @t25)) % 45.25/45.43 (define @t3380 () (tptp.hAPP @t775 @t171)) % 45.25/45.43 (define @t3381 () (tptp.hBOOL @t3380)) % 45.25/45.43 (define @t3382 () (@list @t171 @t24 @t25 @t40 @t10)) % 45.25/45.43 (define @t3383 () (tptp.c_COMBI @t27)) % 45.25/45.43 (define @t3384 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t27 @t27)) % 45.25/45.43 (define @t3385 () (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t525)) % 45.25/45.43 (define @t3386 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t569 @t27) @t25) (tptp.hAPP (tptp.hAPP @t3333 @t3205) @t24))) % 45.25/45.43 (define @t3387 () (tptp.hAPP (tptp.hAPP @t3205 @t3330) @t24)) % 45.25/45.43 (define @t3388 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t40 @t10)) % 45.25/45.43 (define @t3389 () (tptp.hAPP @t3388 @t25)) % 45.25/45.43 (define @t3390 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1118 @t10) @t24)) % 45.25/45.43 (define @t3391 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t27 @t27)) % 45.25/45.43 (define @t3392 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t111 @t40) @t156) @t24)) % 45.25/45.43 (define @t3393 () (@var "B_v" $$unsorted)) % 45.25/45.43 (define @t3394 () (= @t3359 (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t40 @t10 @t174) @t170))) % 45.25/45.43 (define @t3395 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t40 @t3354 @t2) @t1)) % 45.25/45.43 (define @t3396 () (tptp.c_Fun_Ocomp @t1118 @t40 @t10 @t2)) % 45.25/45.43 (define @t3397 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t10 @t40 @t2 @t153 @t171) @t49)) % 45.25/45.43 (define @t3398 () (= @t49 @t153)) % 45.25/45.43 (define @t3399 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3296 @t1118) @t2) @t1)) % 45.25/45.43 (define @t3400 () (@list @t1 @t1118 @t2 @t40 @t10)) % 45.25/45.43 (define @t3401 () (tptp.hAPP @t1666 @t25)) % 45.25/45.43 (define @t3402 () (tptp.hAPP (tptp.hAPP @t3326 @t1111) @t2)) % 45.25/45.43 (define @t3403 () (tptp.c_COMBS @t40 @t10 @t10)) % 45.25/45.43 (define @t3404 () (@list @t25 @t1 @t2 @t40 @t10)) % 45.25/45.43 (define @t3405 () (tptp.hAPP @t1111 @t2919)) % 45.25/45.43 (define @t3406 () (tptp.class_Rings_Osemiring__0 @t10)) % 45.25/45.43 (define @t3407 () (tptp.hAPP @t3328 @t3402)) % 45.25/45.43 (define @t3408 () (tptp.hAPP @t1111 @t3221)) % 45.25/45.43 (define @t3409 () (tptp.hAPP @t3396 @t1)) % 45.25/45.43 (define @t3410 () (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t113) @t51)) % 45.25/45.43 (define @t3411 () (tptp.hAPP @t3262 @t113)) % 45.25/45.43 (define @t3412 () (tptp.c_Orderings_Obot__class_Obot @t784)) % 45.25/45.43 (define @t3413 () (tptp.c_Product__Type_OPair @t10 @t40)) % 45.25/45.43 (define @t3414 () (tptp.hAPP @t3413 @t49)) % 45.25/45.43 (define @t3415 () (tptp.hAPP @t3414 @t99)) % 45.25/45.43 (define @t3416 () (tptp.c_member @t783)) % 45.25/45.43 (define @t3417 () (tptp.hAPP @t3416 @t3415)) % 45.25/45.43 (define @t3418 () (tptp.tc_fun @t10 @t569)) % 45.25/45.43 (define @t3419 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3418) @t49) @t99))) % 45.25/45.43 (define @t3420 () (@list @t99 @t49 @t40 @t10)) % 45.25/45.43 (define @t3421 () (@var "V_R_2" $$unsorted)) % 45.25/45.43 (define @t3422 () (tptp.hAPP (tptp.c_COMBC @t10 @t27 tptp.tc_HOL_Obool) @t203)) % 45.25/45.43 (define @t3423 () (tptp.hAPP @t3422 @t525)) % 45.25/45.43 (define @t3424 () (tptp.hAPP @t3422 @t3421)) % 45.25/45.43 (define @t3425 () (@list @t49 @t525 @t3421 @t10)) % 45.25/45.43 (define @t3426 () (tptp.hBOOL (tptp.hAPP @t863 @t775))) % 45.25/45.43 (define @t3427 () (@list @t24 @t25 @t40 @t171 @t10)) % 45.25/45.43 (define @t3428 () (= @t3421 @t525)) % 45.25/45.43 (define @t3429 () (@list @t525 @t3421 @t10)) % 45.25/45.43 (define @t3430 () (tptp.tc_fun @t784 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3431 () (tptp.tc_fun @t40 @t3430)) % 45.25/45.43 (define @t3432 () (tptp.tc_fun @t40 @t783)) % 45.25/45.43 (define @t3433 () (tptp.hAPP (tptp.c_COMBC @t10 @t784 @t569) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3431 (tptp.tc_fun @t784 @t569) @t10) (tptp.c_COMBC @t40 @t784 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 @t3431 @t10) (tptp.hAPP (tptp.c_COMBB @t783 @t3430 @t40) @t3416)) @t3413)))) % 45.25/45.43 (define @t3434 () (tptp.hAPP @t3433 @t525)) % 45.25/45.43 (define @t3435 () (tptp.hAPP @t3433 @t3421)) % 45.25/45.43 (define @t3436 () (@list @t525 @t3421 @t40 @t10)) % 45.25/45.43 (define @t3437 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t784)) % 45.25/45.43 (define @t3438 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3418)) % 45.25/45.43 (define @t3439 () (@list @t99 @t49 @t525 @t3421 @t40 @t10)) % 45.25/45.43 (define @t3440 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t784)) % 45.25/45.43 (define @t3441 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3418)) % 45.25/45.43 (define @t3442 () (tptp.c_COMBI @t10)) % 45.25/45.43 (define @t3443 () (tptp.hAPP @t3205 @t3210)) % 45.25/45.43 (define @t3444 () (tptp.hAPP @t3443 @t25)) % 45.25/45.43 (define @t3445 () (tptp.tc_fun @t27 @t27)) % 45.25/45.43 (define @t3446 () (tptp.c_COMBB @t27 @t3445 @t40)) % 45.25/45.43 (define @t3447 () (tptp.hAPP (tptp.hAPP @t3446 @t246) @t25)) % 45.25/45.43 (define @t3448 () (tptp.c_COMBS @t40 @t27 @t27)) % 45.25/45.43 (define @t3449 () (tptp.hAPP (tptp.hAPP @t3448 @t3447) @t24)) % 45.25/45.43 (define @t3450 () (@list @t24 @t25 @t3210 @t10 @t40)) % 45.25/45.43 (define @t3451 () (tptp.hAPP (tptp.hAPP @t3446 @t239) @t25)) % 45.25/45.43 (define @t3452 () (tptp.c_COMBB @t27 @t27 @t1118)) % 45.25/45.43 (define @t3453 () (tptp.hAPP (tptp.c_COMBB @t3445 (tptp.tc_fun @t3369 @t3369) @t40) @t3452)) % 45.25/45.43 (define @t3454 () (tptp.c_COMBC @t40 @t3369 @t3369)) % 45.25/45.43 (define @t3455 () (@var "V_J_2" $$unsorted)) % 45.25/45.43 (define @t3456 () (tptp.hAPP @t3368 @t3455)) % 45.25/45.43 (define @t3457 () (tptp.c_COMBB @t3369 @t27 @t40)) % 45.25/45.43 (define @t3458 () (@list @t24 @t3455 @t1118 @t25 @t3210 @t40 @t10)) % 45.25/45.43 (define @t3459 () (tptp.c_COMBC @t40 @t27 @t27)) % 45.25/45.43 (define @t3460 () (tptp.hAPP @t3310 (tptp.hAPP (tptp.hAPP @t3459 @t3451) @t24))) % 45.25/45.43 (define @t3461 () (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP @t3310 @t25)) @t24)) % 45.25/45.43 (define @t3462 () (@list @t24 @t25 @t62 @t40 @t10)) % 45.25/45.43 (define @t3463 () (@list @t25 @t3210 @t40 @t24 @t10)) % 45.25/45.43 (define @t3464 () (tptp.hAPP @t3310 (tptp.hAPP (tptp.hAPP @t3309 @t250) @t24))) % 45.25/45.43 (define @t3465 () (tptp.hAPP @t250 @t3312)) % 45.25/45.43 (define @t3466 () (@list @t24 @t62 @t40 @t25 @t10)) % 45.25/45.43 (define @t3467 () (@list @t24 @t25 @t62 @t10 @t40)) % 45.25/45.43 (define @t3468 () (tptp.hAPP @t3384 @t24)) % 45.25/45.43 (define @t3469 () (tptp.c_COMBC @t27 @t27 @t27)) % 45.25/45.43 (define @t3470 () (tptp.hAPP @t892 @t62)) % 45.25/45.43 (define @t3471 () (tptp.hAPP @t255 (tptp.hAPP @t3470 @t24))) % 45.25/45.43 (define @t3472 () (tptp.hAPP @t3470 (tptp.hAPP (tptp.hAPP @t3309 @t255) @t24))) % 45.25/45.43 (define @t3473 () (tptp.hAPP @t3470 @t25)) % 45.25/45.43 (define @t3474 () (tptp.hAPP (tptp.hAPP @t246 @t3473) @t24)) % 45.25/45.43 (define @t3475 () (tptp.hAPP @t3470 (tptp.hAPP (tptp.hAPP @t3459 @t3447) @t24))) % 45.25/45.43 (define @t3476 () (tptp.hAPP @t892 @t3210)) % 45.25/45.43 (define @t3477 () (tptp.hAPP @t3476 @t25)) % 45.25/45.43 (define @t3478 () (tptp.hAPP @t3373 @t3455)) % 45.25/45.43 (define @t3479 () (tptp.hAPP (tptp.hAPP @t3448 @t3451) @t24)) % 45.25/45.43 (define @t3480 () (tptp.hAPP @t892 @t24)) % 45.25/45.43 (define @t3481 () (@list @t753 @t24 @t25 @t10 @t40)) % 45.25/45.43 (define @t3482 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3483 () (tptp.hAPP (tptp.hAPP @t3482 @t3231) @t25)) % 45.25/45.43 (define @t3484 () (tptp.hAPP @t1626 @t25)) % 45.25/45.43 (define @t3485 () (tptp.hAPP (tptp.c_Set_Oimage @t40 @t1118 @t2) @t25)) % 45.25/45.43 (define @t3486 () (tptp.hAPP @t3373 @t3485)) % 45.25/45.43 (define @t3487 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1118 @t27 @t40) @t24) @t2)) % 45.25/45.43 (define @t3488 () (@list @t2 @t24 @t1118 @t25 @t10 @t40)) % 45.25/45.43 (define @t3489 () (tptp.c_COMBB @t569 @t27 @t1118)) % 45.25/45.43 (define @t3490 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 @t27 @t1118) @t24) @t2)) % 45.25/45.43 (define @t3491 () (tptp.hAPP (tptp.c_Set_Oimage @t1118 @t40 @t2) @t25)) % 45.25/45.43 (define @t3492 () (@list @t24 @t25 @t2 @t1118 @t10 @t40)) % 45.25/45.43 (define @t3493 () (@list @t525 @t2 @t10 @t40)) % 45.25/45.43 (define @t3494 () (tptp.c_COMBB @t40 @t10 @t1118)) % 45.25/45.43 (define @t3495 () (tptp.c_Set_Oimage @t1118 @t40 @t1)) % 45.25/45.43 (define @t3496 () (@var "V_Y_2" $$unsorted)) % 45.25/45.43 (define @t3497 () (@list @t3496 @t10)) % 45.25/45.43 (define @t3498 () (tptp.c_Set_Oimage @t40 @t27 @t24)) % 45.25/45.43 (define @t3499 () (tptp.hAPP @t3498 @t25)) % 45.25/45.43 (define @t3500 () (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t3499)) % 45.25/45.43 (define @t3501 () (@list @t25 @t24 @t40 @t10)) % 45.25/45.43 (define @t3502 () (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3503 () (tptp.hAPP @t3502 @t2)) % 45.25/45.43 (define @t3504 () (tptp.hAPP @t3503 tptp.c_Int_Onat)) % 45.25/45.43 (define @t3505 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t10)) % 45.25/45.43 (define @t3506 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t10)) % 45.25/45.43 (define @t3507 () (and @t1132 @t1664)) % 45.25/45.43 (define @t3508 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t27)) % 45.25/45.43 (define @t3509 () (tptp.hAPP @t3508 @t1349)) % 45.25/45.43 (define @t3510 () (tptp.hAPP @t3509 @t25)) % 45.25/45.43 (define @t3511 () (tptp.tc_fun tptp.tc_Nat_Onat @t27)) % 45.25/45.43 (define @t3512 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t10) @t1569)) % 45.25/45.43 (define @t3513 () (tptp.hAPP @t1836 @t25)) % 45.25/45.43 (define @t3514 () (tptp.hAPP (tptp.hAPP @t3403 (tptp.hAPP (tptp.hAPP @t3326 @t695) @t2)) @t1)) % 45.25/45.43 (define @t3515 () (tptp.hAPP @t692 @t3312)) % 45.25/45.43 (define @t3516 () (tptp.hAPP @t3470 (tptp.hAPP (tptp.hAPP @t3309 @t692) @t24))) % 45.25/45.43 (define @t3517 () (tptp.hAPP (tptp.hAPP @t686 @t3473) @t24)) % 45.25/45.43 (define @t3518 () (tptp.hAPP @t3470 (tptp.hAPP (tptp.hAPP @t3459 (tptp.hAPP (tptp.hAPP @t3446 @t686) @t25)) @t24))) % 45.25/45.43 (define @t3519 () (tptp.hAPP @t3277 (tptp.hAPP (tptp.hAPP @t3240 @t746) @t24))) % 45.25/45.43 (define @t3520 () (tptp.hAPP @t746 @t3291)) % 45.25/45.43 (define @t3521 () (tptp.hAPP (tptp.hAPP @t3286 @t700) @t25)) % 45.25/45.43 (define @t3522 () (tptp.hAPP @t3277 (tptp.hAPP (tptp.hAPP @t3288 @t3521) @t24))) % 45.25/45.43 (define @t3523 () (tptp.hAPP (tptp.hAPP @t700 @t3283) @t24)) % 45.25/45.43 (define @t3524 () (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t3499)) % 45.25/45.43 (define @t3525 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3526 () (tptp.hAPP @t3525 @t1144)) % 45.25/45.43 (define @t3527 () (tptp.hAPP @t3526 @t160)) % 45.25/45.43 (define @t3528 () (tptp.hAPP @t1073 (tptp.hAPP @t3228 @t3527))) % 45.25/45.43 (define @t3529 () (@list @t445 @t160 @t402 @t2 @t10)) % 45.25/45.43 (define @t3530 () (tptp.hBOOL (tptp.hAPP @t890 @t3210))) % 45.25/45.43 (define @t3531 () (@list @t24 @t25 @t3210 @t40 @t10)) % 45.25/45.43 (define @t3532 () (tptp.hAPP @t753 @t3)) % 45.25/45.43 (define @t3533 () (tptp.hAPP @t101 @t236)) % 45.25/45.43 (define @t3534 () (@list @t24 @t40 @t25 @t153 @t10)) % 45.25/45.43 (define @t3535 () (tptp.c_Orderings_Oord__class_Oless__eq @t784)) % 45.25/45.43 (define @t3536 () (tptp.c_Orderings_Oord__class_Oless__eq @t3418)) % 45.25/45.43 (define @t3537 () (tptp.hAPP (tptp.hAPP @t3403 (tptp.hAPP (tptp.hAPP @t3326 @t1130) @t2)) @t1)) % 45.25/45.43 (define @t3538 () (tptp.hAPP @t753 @t749)) % 45.25/45.43 (define @t3539 () (tptp.hBOOL (tptp.hAPP @t933 @t25))) % 45.25/45.43 (define @t3540 () (@list @t753 @t25 @t749 @t10 @t40)) % 45.25/45.43 (define @t3541 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3542 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3543 () (tptp.hAPP (tptp.hAPP @t3542 @t1144) @t3541)) % 45.25/45.43 (define @t3544 () (tptp.hAPP @t2196 @t1432)) % 45.25/45.43 (define @t3545 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3544)) % 45.25/45.43 (define @t3546 () (tptp.hAPP @t2196 @t2896)) % 45.25/45.43 (define @t3547 () (tptp.hAPP @t3498 @t62)) % 45.25/45.43 (define @t3548 () (tptp.hAPP (tptp.c_Set_Oimage @t40 @t27 @t25) @t62)) % 45.25/45.43 (define @t3549 () (tptp.hAPP @t3508 @t1870)) % 45.25/45.43 (define @t3550 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3527)) % 45.25/45.43 (define @t3551 () (@list @t1143 @t749 @t160)) % 45.25/45.43 (define @t3552 () (tptp.hAPP tptp.c_fequal @t153)) % 45.25/45.43 (define @t3553 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t40 @t3296) @t10) (tptp.c_If @t40))) % 45.25/45.43 (define @t3554 () (tptp.c_COMBS @t10 @t40 @t3296)) % 45.25/45.43 (define @t3555 () (tptp.c_COMBC @t10 @t40 @t40)) % 45.25/45.43 (define @t3556 () (tptp.hAPP @t3555 (tptp.hAPP (tptp.hAPP @t3554 (tptp.hAPP @t3553 @t3552)) @t171))) % 45.25/45.43 (define @t3557 () (tptp.hAPP (tptp.hAPP @t1059 (tptp.hAPP @t3556 @t1837)) @t525)) % 45.25/45.43 (define @t3558 () (tptp.hBOOL (tptp.hAPP @t851 @t525))) % 45.25/45.43 (define @t3559 () (not @t3558)) % 45.25/45.43 (define @t3560 () (tptp.hAPP @t171 @t153)) % 45.25/45.43 (define @t3561 () (@list @t171 @t153 @t525 @t10 @t40)) % 45.25/45.43 (define @t3562 () (tptp.c_COMBC @t10 @t10 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3563 () (tptp.hAPP @t3562 tptp.c_fequal)) % 45.25/45.43 (define @t3564 () (tptp.hAPP @t3563 @t153)) % 45.25/45.43 (define @t3565 () (tptp.hAPP @t3555 (tptp.hAPP (tptp.hAPP @t3554 (tptp.hAPP @t3553 @t3564)) @t171))) % 45.25/45.43 (define @t3566 () (tptp.hAPP (tptp.hAPP @t1059 (tptp.hAPP @t3565 @t1837)) @t525)) % 45.25/45.43 (define @t3567 () (tptp.hAPP (tptp.hAPP @t1457 (tptp.hAPP @t3565 @t1667)) @t525)) % 45.25/45.43 (define @t3568 () (tptp.hAPP (tptp.hAPP @t1457 (tptp.hAPP @t3556 @t1667)) @t525)) % 45.25/45.43 (define @t3569 () (tptp.c_COMBS @t10 @t10 @t10)) % 45.25/45.43 (define @t3570 () (tptp.hAPP (tptp.hAPP @t3569 @t1111) @t3442)) % 45.25/45.43 (define @t3571 () (tptp.hAPP @t2133 @t348)) % 45.25/45.43 (define @t3572 () (tptp.c_HOL_OLet @t10 @t10)) % 45.25/45.43 (define @t3573 () (tptp.hAPP @t3572 (tptp.hAPP @t3571 @t3544))) % 45.25/45.43 (define @t3574 () (tptp.hAPP @t3562 @t101)) % 45.25/45.43 (define @t3575 () (tptp.c_Power_Opower__class_Opower @t40)) % 45.25/45.43 (define @t3576 () (tptp.c_Finite__Set_Ofold @t10 @t40 (tptp.hAPP (tptp.hAPP @t3297 @t623) @t2))) % 45.25/45.43 (define @t3577 () (tptp.c_Finite__Set_Ofold @t10 @t40 (tptp.hAPP (tptp.hAPP @t3297 @t658) @t2))) % 45.25/45.43 (define @t3578 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3579 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3580 () (tptp.hAPP @t2162 @t348)) % 45.25/45.43 (define @t3581 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3580 @t3544))) % 45.25/45.43 (define @t3582 () (tptp.c_Orderings_Otop__class_Otop @t3186)) % 45.25/45.43 (define @t3583 () (tptp.c_Fun_Ocomp @t10 @t1118 @t40 @t1)) % 45.25/45.43 (define @t3584 () (@list @t445 @t2 @t10)) % 45.25/45.43 (define @t3585 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t40 @t1118 @t2) @t1)) % 45.25/45.43 (define @t3586 () (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t1118 @t10 @t3352) @t2)) % 45.25/45.43 (define @t3587 () (tptp.hAPP @t3181 @t2)) % 45.25/45.43 (define @t3588 () (tptp.c_Set_Oimage @t10 @t1118 @t2)) % 45.25/45.43 (define @t3589 () (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t40 @t10 @t1) @t2)) % 45.25/45.43 (define @t3590 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t10)) % 45.25/45.43 (define @t3591 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3592 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 tptp.tc_Nat_Onat) @t2) @t2754)) % 45.25/45.43 (define @t3593 () (tptp.hAPP (tptp.hAPP @t3505 @t2) @t25)) % 45.25/45.43 (define @t3594 () (tptp.hAPP @t3422 @t25)) % 45.25/45.43 (define @t3595 () (tptp.hAPP @t3422 @t24)) % 45.25/45.43 (define @t3596 () (tptp.hAPP (tptp.hAPP @t1059 (tptp.hAPP (tptp.hAPP @t3555 (tptp.hAPP (tptp.hAPP @t3554 (tptp.hAPP @t3553 @t3595)) @t2)) @t1837)) @t25)) % 45.25/45.43 (define @t3597 () (@list @t24 @t2 @t25 @t10 @t40)) % 45.25/45.43 (define @t3598 () (tptp.hAPP @t2133 @t2277)) % 45.25/45.43 (define @t3599 () (tptp.hAPP @t3572 (tptp.hAPP @t3598 @t3544))) % 45.25/45.43 (define @t3600 () (=> @t675 (= @t1529 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t10 @t1144) @t3512) @t1700) @t25)))) % 45.25/45.43 (define @t3601 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t3445 @t10) (tptp.hAPP @t3469 @t686)) @t3265)) % 45.25/45.43 (define @t3602 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3603 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t3602) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t3602) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 45.25/45.43 (define @t3604 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3605 () (tptp.hAPP @t3604 (tptp.hAPP @t3603 @t1700))) % 45.25/45.43 (define @t3606 () (tptp.hAPP @t3605 tptp.c_Int_Onat)) % 45.25/45.43 (define @t3607 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3608 () (tptp.hAPP (tptp.hAPP @t1091 @t2691) @t2690)) % 45.25/45.43 (define @t3609 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2689))) % 45.25/45.43 (define @t3610 () (tptp.hAPP (tptp.hAPP @t3178 @t2659) @t2980)) % 45.25/45.43 (define @t3611 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1569 @t445)) % 45.25/45.43 (define @t3612 () (tptp.hAPP @t3590 @t2)) % 45.25/45.43 (define @t3613 () (tptp.hAPP @t3612 @t25)) % 45.25/45.43 (define @t3614 () (tptp.hAPP @t2865 @t2741)) % 45.25/45.43 (define @t3615 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3616 () (tptp.c_If @t3615)) % 45.25/45.43 (define @t3617 () (tptp.tc_fun @t3615 @t3615)) % 45.25/45.43 (define @t3618 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3615 @t3617) tptp.tc_Int_Oint) @t3616)) % 45.25/45.43 (define @t3619 () (tptp.c_COMBS tptp.tc_Int_Oint @t3615 @t3617)) % 45.25/45.43 (define @t3620 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3615)) % 45.25/45.43 (define @t3621 () (tptp.hAPP (tptp.hAPP @t3178 @t2741) @t2919)) % 45.25/45.43 (define @t3622 () (tptp.c_Divides_Oadjust @t171)) % 45.25/45.43 (define @t3623 () (tptp.hAPP @t1073 @t58)) % 45.25/45.43 (define @t3624 () (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t1118 @t10 @t761) @t2)) % 45.25/45.43 (define @t3625 () (tptp.hAPP @t1119 @t3624)) % 45.25/45.43 (define @t3626 () (@list @t761 @t24 @t2 @t40 @t10 @t1118)) % 45.25/45.43 (define @t3627 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1149 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3628 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3629 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3630 () (tptp.hAPP (tptp.hAPP @t3629 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 45.25/45.43 (define @t3631 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3632 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3633 () (tptp.hAPP @t3632 (tptp.hAPP (tptp.hAPP @t3631 tptp.c_fimplies) @t3630))) % 45.25/45.43 (define @t3634 () (tptp.hAPP @t3631 tptp.c_fconj)) % 45.25/45.43 (define @t3635 () (tptp.hAPP @t3632 (tptp.hAPP @t3634 @t3630))) % 45.25/45.43 (define @t3636 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t2529)) % 45.25/45.43 (define @t3637 () (tptp.hBOOL (tptp.hAPP @t3636 (tptp.hAPP @t3635 (tptp.hAPP @t3633 (tptp.hAPP (tptp.hAPP @t3628 (tptp.hAPP (tptp.hAPP @t3627 tptp.c_fequal) tptp.c_Int_Onat)) @t445)))))) % 45.25/45.43 (define @t3638 () (@list @t445 @t2107)) % 45.25/45.43 (define @t3639 () (@list @t2107 @t445)) % 45.25/45.43 (define @t3640 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t1118)) % 45.25/45.43 (define @t3641 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t40 @t1118)) % 45.25/45.43 (define @t3642 () (tptp.hAPP @t3641 @t761)) % 45.25/45.43 (define @t3643 () (tptp.class_Groups_Ocomm__monoid__mult @t1118)) % 45.25/45.43 (define @t3644 () (= (tptp.hAPP @t3642 @t24) (tptp.hAPP (tptp.hAPP @t3640 @t1) @t25))) % 45.25/45.43 (define @t3645 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3646 () (tptp.hAPP @t3645 tptp.c_Nat_OSuc)) % 45.25/45.43 (define @t3647 () (tptp.hAPP @t2196 @t2809)) % 45.25/45.43 (define @t3648 () (tptp.hAPP @t1111 @t2772)) % 45.25/45.43 (define @t3649 () (tptp.hAPP @t1111 (tptp.hAPP @t1937 @t1586))) % 45.25/45.43 (define @t3650 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 45.25/45.43 (define @t3651 () (tptp.c_COMBB @t10 @t3325 tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3652 () (tptp.hAPP (tptp.hAPP @t1073 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t3651 @t695) @t2)) (tptp.hAPP @t3228 (tptp.hAPP @t3526 @t1569)))) @t1673)) % 45.25/45.43 (define @t3653 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3654 () (tptp.hAPP @t1414 @t445)) % 45.25/45.43 (define @t3655 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3656 () (tptp.hAPP @t3655 tptp.c_Nat_OSuc)) % 45.25/45.43 (define @t3657 () (tptp.hAPP @t3604 (tptp.hAPP @t3603 @t1604))) % 45.25/45.43 (define @t3658 () (tptp.hAPP @t3607 @t2529)) % 45.25/45.43 (define @t3659 () (tptp.hAPP @t1414 @t1604)) % 45.25/45.43 (define @t3660 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3661 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3662 () (tptp.hAPP @t3571 @t3647)) % 45.25/45.43 (define @t3663 () (tptp.hBOOL (tptp.hAPP @t2398 @t2825))) % 45.25/45.43 (define @t3664 () (not @t3663)) % 45.25/45.43 (define @t3665 () (tptp.c_COMBB @t10 @t3325 @t10)) % 45.25/45.43 (define @t3666 () (tptp.hAPP @t3665 @t1111)) % 45.25/45.43 (define @t3667 () (tptp.hAPP @t1528 @t525)) % 45.25/45.43 (define @t3668 () (tptp.hAPP @t3575 @t174)) % 45.25/45.43 (define @t3669 () (tptp.hAPP (tptp.hAPP @t1457 (tptp.hAPP @t3565 @t174)) @t525)) % 45.25/45.43 (define @t3670 () (tptp.hAPP @t3525 @t1091)) % 45.25/45.43 (define @t3671 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3670 @t174)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t49) @t99))) % 45.25/45.43 (define @t3672 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t174) @t99))) % 45.25/45.43 (define @t3673 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t40 @t10 @t1) @t761)) % 45.25/45.43 (define @t3674 () (tptp.hAPP @t831 @t25)) % 45.25/45.43 (define @t3675 () (tptp.c_Fun_Oinj__on @t10 @t10 @t761 @t25)) % 45.25/45.43 (define @t3676 () (@list @t1 @t761 @t25 @t10 @t40)) % 45.25/45.43 (define @t3677 () (tptp.hAPP @t3580 @t3647)) % 45.25/45.43 (define @t3678 () (tptp.c_COMBB tptp.tc_Int_Oint @t3171 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3679 () (tptp.c_Divides_Oadjust @t87)) % 45.25/45.43 (define @t3680 () (tptp.c_Divides_OnegDivAlg @t83 @t87)) % 45.25/45.43 (define @t3681 () (= @t3680 (tptp.hAPP @t3679 (tptp.c_Divides_OnegDivAlg @t83 @t2867)))) % 45.25/45.43 (define @t3682 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t87) @t2207))) % 45.25/45.43 (define @t3683 () (tptp.hBOOL (tptp.hAPP @t2398 @t2985))) % 45.25/45.43 (define @t3684 () (or @t3683 @t3682)) % 45.25/45.43 (define @t3685 () (= @t3680 (tptp.hAPP @t3179 @t2985))) % 45.25/45.43 (define @t3686 () (tptp.hAPP @t1421 @t445)) % 45.25/45.43 (define @t3687 () (tptp.hAPP @t1421 @t1604)) % 45.25/45.43 (define @t3688 () (tptp.hAPP @t1144 @t153)) % 45.25/45.43 (define @t3689 () (tptp.hAPP (tptp.c_Set_Oimage @t1118 @t10 @t1) @t25)) % 45.25/45.43 (define @t3690 () (tptp.hBOOL (tptp.hAPP @t865 (tptp.hAPP @t600 @t3689)))) % 45.25/45.43 (define @t3691 () (tptp.c_Fun_Oinj__on @t1118 @t10 @t1 @t25)) % 45.25/45.43 (define @t3692 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t3689)) % 45.25/45.43 (define @t3693 () (@list @t49 @t25 @t1 @t1118 @t2 @t40 @t10)) % 45.25/45.43 (define @t3694 () (tptp.hAPP @t3598 @t3647)) % 45.25/45.43 (define @t3695 () (tptp.hAPP @t2865 @t2336)) % 45.25/45.43 (define @t3696 () (tptp.c_Divides_Oadjust @t2336)) % 45.25/45.43 (define @t3697 () (tptp.c_Divides_OnegDivAlg @t2335 @t2336)) % 45.25/45.43 (define @t3698 () (tptp.hAPP (tptp.hAPP @t2227 @t2335) @t2336)) % 45.25/45.43 (define @t3699 () (tptp.hBOOL (tptp.hAPP @t2398 @t3698))) % 45.25/45.43 (define @t3700 () (tptp.hBOOL (tptp.hAPP @t2209 @t2336))) % 45.25/45.43 (define @t3701 () (tptp.hAPP (tptp.hAPP @t1091 @t2517) @t2516)) % 45.25/45.43 (define @t3702 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2511) tptp.c_Int_OPls))) % 45.25/45.43 (define @t3703 () (tptp.tc_fun tptp.tc_Int_Oint @t3615)) % 45.25/45.43 (define @t3704 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3703 tptp.tc_Int_Oint) @t3178)) % 45.25/45.43 (define @t3705 () (tptp.c_Nitpick_Onorm__frac @t153 @t171)) % 45.25/45.43 (define @t3706 () (or (= @t153 @t2207) (= @t171 @t2207))) % 45.25/45.43 (define @t3707 () (tptp.hAPP @t3178 @t2207)) % 45.25/45.43 (define @t3708 () (tptp.hAPP @t3707 @t2202)) % 45.25/45.43 (define @t3709 () (tptp.hAPP @t2235 @t153)) % 45.25/45.43 (define @t3710 () (and (=> @t2573 (= @t3705 (tptp.c_Nitpick_Onorm__frac @t3709 (tptp.hAPP @t2235 @t171)))) (=> (not @t2573) (and (=> @t3706 (= @t3705 @t3708)) (=> (not @t3706) (= @t3705 (tptp.hAPP (tptp.hAPP @t3620 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t153) @t171)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3615) (tptp.hAPP @t3704 @t2566)) (tptp.hAPP @t2538 @t171))))))))) % 45.25/45.43 (define @t3711 () (tptp.hAPP (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3660 @t1144) tptp.c_Int_Onat)) @t445)) % 45.25/45.43 (define @t3712 () (tptp.c_If @t10)) % 45.25/45.43 (define @t3713 () (tptp.tc_fun @t10 @t3325)) % 45.25/45.43 (define @t3714 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t3713 tptp.tc_Int_Oint) @t3712)) % 45.25/45.43 (define @t3715 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t10 @t3325) (tptp.hAPP @t3714 tptp.c_Nat__Numeral_Oneg))) % 45.25/45.43 (define @t3716 () (tptp.c_COMBS tptp.tc_Int_Oint @t10 @t10)) % 45.25/45.43 (define @t3717 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t10)) % 45.25/45.43 (define @t3718 () (tptp.hAPP @t3717 @t2529)) % 45.25/45.43 (define @t3719 () (tptp.hAPP (tptp.hAPP @t1144 @t2517) @t445)) % 45.25/45.43 (define @t3720 () (@list @t445 @t2107 @t2 @t153 @t10)) % 45.25/45.43 (define @t3721 () (tptp.c_Divides_OposDivAlg @t2202 @t2335)) % 45.25/45.43 (define @t3722 () (tptp.hBOOL (tptp.hAPP @t2612 @t2335))) % 45.25/45.43 (define @t3723 () (tptp.c_Divides_OposDivAlg @t83 @t87)) % 45.25/45.43 (define @t3724 () (= @t3723 (tptp.hAPP @t3679 (tptp.c_Divides_OposDivAlg @t83 @t2867)))) % 45.25/45.43 (define @t3725 () (or @t2604 @t3682)) % 45.25/45.43 (define @t3726 () (= @t3723 (tptp.hAPP @t3707 @t83))) % 45.25/45.43 (define @t3727 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3438 @t25) @t24) @t49) @t99))) % 45.25/45.43 (define @t3728 () (tptp.hBOOL (tptp.hAPP @t217 @t99))) % 45.25/45.43 (define @t3729 () (tptp.hBOOL (tptp.hAPP @t247 @t99))) % 45.25/45.43 (define @t3730 () (not @t3729)) % 45.25/45.43 (define @t3731 () (@list @t99 @t49 @t24 @t25 @t40 @t10)) % 45.25/45.43 (define @t3732 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3441 @t25) @t24) @t49) @t99))) % 45.25/45.43 (define @t3733 () (tptp.hBOOL (tptp.hAPP @t3380 @t174))) % 45.25/45.43 (define @t3734 () (@list @t174 @t171 @t24 @t25 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3735 () (forall @t7 (=> @t205 @t3733))) % 45.25/45.43 (define @t3736 () (tptp.hBOOL (tptp.hAPP @t56 @t99))) % 45.25/45.43 (define @t3737 () (tptp.hBOOL (tptp.hAPP @t60 @t99))) % 45.25/45.43 (define @t3738 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3536 @t58) @t55))) % 45.25/45.43 (define @t3739 () (tptp.tc_prod @t10 @t10)) % 45.25/45.43 (define @t3740 () (tptp.tc_fun @t3739 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3741 () (tptp.c_Orderings_Oord__class_Oless__eq @t3740)) % 45.25/45.43 (define @t3742 () (tptp.c_Orderings_Obot__class_Obot @t3740)) % 45.25/45.43 (define @t3743 () (tptp.hAPP @t3136 @t1579)) % 45.25/45.43 (define @t3744 () (@list @t1579 @t3136 @t3138 @t10)) % 45.25/45.43 (define @t3745 () (tptp.hAPP @t3707 @t2207)) % 45.25/45.43 (define @t3746 () (tptp.hAPP @t3716 (tptp.hAPP @t3715 @t153))) % 45.25/45.43 (define @t3747 () (@list @t2107 @t2 @t153 @t10)) % 45.25/45.43 (define @t3748 () (tptp.c_Divides_OposDivAlg @t2335 @t2336)) % 45.25/45.43 (define @t3749 () (tptp.hAPP @t2208 @t2335)) % 45.25/45.43 (define @t3750 () (tptp.hBOOL (tptp.hAPP @t3749 @t2336))) % 45.25/45.43 (define @t3751 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t1254 @t1255)) % 45.25/45.43 (define @t3752 () (tptp.hAPP (tptp.hAPP @t3058 @t1254) @t1255)) % 45.25/45.43 (define @t3753 () (tptp.c_Product__Type_OPair @t10 @t10)) % 45.25/45.43 (define @t3754 () (tptp.hAPP @t3753 @t3)) % 45.25/45.43 (define @t3755 () (tptp.hAPP @t3754 @t3)) % 45.25/45.43 (define @t3756 () (tptp.c_member @t3739)) % 45.25/45.43 (define @t3757 () (tptp.hAPP @t3756 @t3755)) % 45.25/45.43 (define @t3758 () (tptp.hBOOL (tptp.hAPP @t3757 @t2919))) % 45.25/45.43 (define @t3759 () (tptp.hAPP (tptp.hAPP @t3591 @t2219) @t171)) % 45.25/45.43 (define @t3760 () (tptp.hAPP @t3678 @t2227)) % 45.25/45.43 (define @t3761 () (tptp.hAPP (tptp.c_COMBB @t3703 (tptp.tc_fun @t3171 @t3703) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3615 tptp.tc_Int_Oint))) % 45.25/45.43 (define @t3762 () (tptp.c_COMBC tptp.tc_Int_Oint @t3171 @t3703)) % 45.25/45.43 (define @t3763 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3764 () (tptp.tc_fun tptp.tc_Int_Oint @t3617)) % 45.25/45.43 (define @t3765 () (tptp.hAPP (tptp.c_COMBB @t3764 (tptp.tc_fun @t3703 @t3703) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3615 @t3615))) % 45.25/45.43 (define @t3766 () (tptp.c_COMBS tptp.tc_Int_Oint @t3703 @t3703)) % 45.25/45.43 (define @t3767 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3615)) % 45.25/45.43 (define @t3768 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3769 () (tptp.c_Divides_Odivmod__nat @t1255 @t1254)) % 45.25/45.43 (define @t3770 () (tptp.c_Nat_Onat_Onat__rec @t10 @t153 @t2)) % 45.25/45.43 (define @t3771 () (tptp.hAPP @t3502 @t3770)) % 45.25/45.43 (define @t3772 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3325 tptp.tc_Int_Oint) @t2)) % 45.25/45.43 (define @t3773 () (tptp.c_Nat_Onat_Onat__rec @t10 @t3138 @t3136)) % 45.25/45.43 (define @t3774 () (tptp.hAPP @t3768 @t1700)) % 45.25/45.43 (define @t3775 () (tptp.hAPP @t3774 @t1255)) % 45.25/45.43 (define @t3776 () (tptp.hAPP (tptp.hAPP @t3768 @t2672) @t3020)) % 45.25/45.43 (define @t3777 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t1118)) % 45.25/45.43 (define @t3778 () (tptp.hAPP @t3777 @t2)) % 45.25/45.43 (define @t3779 () (tptp.hAPP @t579 @t171)) % 45.25/45.43 (define @t3780 () (tptp.c_member @t1118)) % 45.25/45.43 (define @t3781 () (tptp.hAPP @t3413 @t153)) % 45.25/45.43 (define @t3782 () (tptp.hAPP @t3781 @t171)) % 45.25/45.43 (define @t3783 () (tptp.hAPP @t3416 @t3782)) % 45.25/45.43 (define @t3784 () (tptp.hAPP (tptp.hAPP @t3569 @t1130) @t3442)) % 45.25/45.43 (define @t3785 () (tptp.c_COMBC @t10 @t10 @t10)) % 45.25/45.43 (define @t3786 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3787 () (tptp.hAPP (tptp.hAPP @t3786 tptp.c_fequal) @t2207)) % 45.25/45.43 (define @t3788 () (tptp.tc_fun @t3325 @t10)) % 45.25/45.43 (define @t3789 () (tptp.tc_fun tptp.tc_Int_Oint @t10)) % 45.25/45.43 (define @t3790 () (tptp.tc_fun tptp.tc_Int_Oint @t3325)) % 45.25/45.43 (define @t3791 () (tptp.hAPP @t3079 @t160)) % 45.25/45.43 (define @t3792 () (not @t2589)) % 45.25/45.43 (define @t3793 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3794 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3793 @t2) @t3782))) % 45.25/45.43 (define @t3795 () (tptp.hBOOL @t3779)) % 45.25/45.43 (define @t3796 () (tptp.hAPP (tptp.hAPP @t3138 @t153) @t171)) % 45.25/45.43 (define @t3797 () (tptp.hAPP (tptp.hAPP @t3245 @t153) @t171)) % 45.25/45.43 (define @t3798 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t1118 @t27) @t174)) % 45.25/45.43 (define @t3799 () (tptp.hAPP (tptp.hAPP @t174 @t153) @t171)) % 45.25/45.43 (define @t3800 () (@list @t171 @t153 @t2 @t40 @t10)) % 45.25/45.43 (define @t3801 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t3186)) % 45.25/45.43 (define @t3802 () (@var "V_inc_2" $$unsorted)) % 45.25/45.43 (define @t3803 () (tptp.hAPP (tptp.hAPP @t3413 @t1038) @t1926)) % 45.25/45.43 (define @t3804 () (@list @t1038 @t1926)) % 45.25/45.43 (define @t3805 () (tptp.hAPP (tptp.hAPP @t3413 @t3320) @t3319)) % 45.25/45.43 (define @t3806 () (tptp.c_Product__Type_OPair @t35 @t10)) % 45.25/45.43 (define @t3807 () (tptp.hAPP (tptp.hAPP @t3806 @t83) @t87)) % 45.25/45.43 (define @t3808 () (tptp.hAPP @t3777 @t174)) % 45.25/45.43 (define @t3809 () (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t1118 @t10)) % 45.25/45.43 (define @t3810 () (@list @t171 @t153 @t3138 @t10 @t1118 @t40)) % 45.25/45.43 (define @t3811 () (tptp.hAPP @t3809 @t2)) % 45.25/45.43 (define @t3812 () (@list @t171 @t153 @t2 @t10 @t1118 @t40)) % 45.25/45.43 (define @t3813 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3814 () (tptp.tc_fun tptp.tc_Nat_Onat @t3813)) % 45.25/45.43 (define @t3815 () (tptp.c_Divides_Odivmod__nat @t402 @t445)) % 45.25/45.43 (define @t3816 () (or @t1733 @t1345)) % 45.25/45.43 (define @t3817 () (tptp.tc_fun @t40 @t1118)) % 45.25/45.43 (define @t3818 () (@list @t2 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3819 () (tptp.c_Product__Type_OPair @t40 @t10)) % 45.25/45.43 (define @t3820 () (tptp.tc_prod @t40 @t10)) % 45.25/45.43 (define @t3821 () (tptp.hAPP (tptp.c_COMBC @t40 @t10 @t3820) @t3819)) % 45.25/45.43 (define @t3822 () (tptp.tc_fun tptp.tc_Int_Oint @t2442)) % 45.25/45.43 (define @t3823 () (tptp.c_COMBB @t2442 @t2442 tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3824 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t3825 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t2548 @t2551))) % 45.25/45.43 (define @t3826 () (tptp.c_Divides_Odivmod__int @t83 @t87)) % 45.25/45.43 (define @t3827 () (not @t2574)) % 45.25/45.43 (define @t3828 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2548 @t2551))) % 45.25/45.43 (define @t3829 () (tptp.hBOOL (tptp.hAPP @t2398 @t87))) % 45.25/45.43 (define @t3830 () (tptp.c_Divides_Opdivmod @t160 @t159)) % 45.25/45.43 (define @t3831 () (tptp.hAPP (tptp.hAPP @t3767 (tptp.hAPP (tptp.hAPP @t3766 (tptp.hAPP @t3765 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3615 @t3764 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3615 @t3617) (tptp.hAPP @t3618 @t3787))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3615) (tptp.hAPP @t3704 @t2235)) @t2207)))) (tptp.hAPP (tptp.hAPP @t3762 (tptp.hAPP @t3761 (tptp.hAPP @t3704 (tptp.hAPP (tptp.hAPP @t3591 (tptp.hAPP (tptp.hAPP @t3678 @t2219) @t2235)) @t2202)))) (tptp.hAPP @t2219 (tptp.hAPP @t3091 @t159))))) @t3830)) % 45.25/45.43 (define @t3832 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t159)) % 45.25/45.43 (define @t3833 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t2165 @t3832))) % 45.25/45.43 (define @t3834 () (tptp.c_Divides_Odivmod__int @t160 @t159)) % 45.25/45.43 (define @t3835 () (= @t159 @t2207)) % 45.25/45.43 (define @t3836 () (not @t3835)) % 45.25/45.43 (define @t3837 () (=> @t3835 (= @t3834 (tptp.hAPP @t3707 @t160)))) % 45.25/45.43 (define @t3838 () (=> @t2589 (= @t3834 @t3745))) % 45.25/45.43 (define @t3839 () (tptp.c_Product__Type_OPair @t10 @t1118)) % 45.25/45.43 (define @t3840 () (tptp.hAPP (tptp.hAPP @t3839 @t49) @t99)) % 45.25/45.43 (define @t3841 () (tptp.c_Product__Type_Oapsnd @t1118 @t40 @t10 @t2)) % 45.25/45.43 (define @t3842 () (@list @t49 @t1 @t3354 @t2 @t10 @t40 @t1118)) % 45.25/45.43 (define @t3843 () (tptp.hAPP @t3178 @t2120)) % 45.25/45.43 (define @t3844 () (tptp.hAPP @t3843 @t1829)) % 45.25/45.43 (define @t3845 () (tptp.hAPP @t3091 @t1331)) % 45.25/45.43 (define @t3846 () (tptp.hAPP @t3091 @t1258)) % 45.25/45.43 (define @t3847 () (tptp.c_Divides_Opdivmod @t1258 @t1331)) % 45.25/45.43 (define @t3848 () (= @t1331 @t2207)) % 45.25/45.43 (define @t3849 () (tptp.hAPP @t3041 @t1829)) % 45.25/45.43 (define @t3850 () (tptp.hAPP (tptp.hAPP @t3768 @t2120) @t1829)) % 45.25/45.43 (define @t3851 () (tptp.c_Divides_Odivmod__nat__rel @t87 @t84)) % 45.25/45.43 (define @t3852 () (@list @t83 @t1829 @t2120 @t84 @t87)) % 45.25/45.43 (define @t3853 () (@list @t84 @t1829 @t2120 @t87 @t83)) % 45.25/45.43 (define @t3854 () (@list @t87 @t83 @t10 @t35)) % 45.25/45.43 (define @t3855 () (@var "V_qr_H" $$unsorted)) % 45.25/45.43 (define @t3856 () (@var "V_qr" $$unsorted)) % 45.25/45.43 (define @t3857 () (tptp.c_Divides_Odivmod__nat__rel @t1255 @t1254)) % 45.25/45.43 (define @t3858 () (tptp.hBOOL (tptp.hAPP @t3857 @t3856))) % 45.25/45.43 (define @t3859 () (tptp.hBOOL (tptp.hAPP @t3857 @t3850))) % 45.25/45.43 (define @t3860 () (@list @t1829 @t2120 @t1254 @t1255)) % 45.25/45.43 (define @t3861 () (@var "V_br" $$unsorted)) % 45.25/45.43 (define @t3862 () (@var "V_ar" $$unsorted)) % 45.25/45.43 (define @t3863 () (tptp.hAPP (tptp.hAPP @t1144 @t3862) @t3861)) % 45.25/45.43 (define @t3864 () (@var "V_bq" $$unsorted)) % 45.25/45.43 (define @t3865 () (@var "V_aq" $$unsorted)) % 45.25/45.43 (define @t3866 () (@list @t3861 @t3864 @t87 @t3862 @t3865 @t84 @t83)) % 45.25/45.43 (define @t3867 () (tptp.c_Nitpick_Opair__box_OPairBox @t40 @t1118 @t153 @t171)) % 45.25/45.43 (define @t3868 () (tptp.hAPP @t2865 @t171)) % 45.25/45.43 (define @t3869 () (tptp.c_Divides_OnegDivAlg @t153 @t171)) % 45.25/45.43 (define @t3870 () (tptp.hBOOL (tptp.hAPP @t2595 @t2207))) % 45.25/45.43 (define @t3871 () (tptp.hAPP @t3170 @t171)) % 45.25/45.43 (define @t3872 () (or (tptp.hBOOL (tptp.hAPP @t2398 @t3871)) @t3870)) % 45.25/45.43 (define @t3873 () (tptp.hAPP (tptp.hAPP @t3178 @t153) @t171)) % 45.25/45.43 (define @t3874 () (tptp.c_Wellfounded_Oaccp @t3615 tptp.c_Divides_OnegDivAlg__rel)) % 45.25/45.43 (define @t3875 () (tptp.c_Divides_OposDivAlg @t153 @t171)) % 45.25/45.43 (define @t3876 () (or (tptp.hBOOL (tptp.hAPP @t2565 @t171)) @t3870)) % 45.25/45.43 (define @t3877 () (tptp.c_Wellfounded_Oaccp @t3615 tptp.c_Divides_OposDivAlg__rel)) % 45.25/45.43 (define @t3878 () (tptp.c_Wellfounded_Oaccp @t3615 tptp.c_Nitpick_Onorm__frac__rel)) % 45.25/45.43 (define @t3879 () (@var "V_a0_2" $$unsorted)) % 45.25/45.43 (define @t3880 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t3879) @t2103))) % 45.25/45.43 (define @t3881 () (tptp.hAPP @t58 @t1038)) % 45.25/45.43 (define @t3882 () (tptp.hBOOL (tptp.hAPP @t3881 @t1926))) % 45.25/45.43 (define @t3883 () (tptp.hBOOL (tptp.hAPP @t3881 (tptp.hAPP @t2865 @t1926)))) % 45.25/45.43 (define @t3884 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1926) @t2207))) % 45.25/45.43 (define @t3885 () (tptp.hAPP (tptp.hAPP @t3178 @t1038) @t1926)) % 45.25/45.43 (define @t3886 () (tptp.hAPP (tptp.hAPP @t3178 @t3879) @t2103)) % 45.25/45.43 (define @t3887 () (@list @t58 @t2103 @t3879)) % 45.25/45.43 (define @t3888 () (@var "V_R1_2" $$unsorted)) % 45.25/45.43 (define @t3889 () (@var "V_R2_2" $$unsorted)) % 45.25/45.43 (define @t3890 () (tptp.tc_fun @t10 @t27)) % 45.25/45.43 (define @t3891 () (tptp.c_Orderings_Oord__class_Oless__eq @t3890)) % 45.25/45.43 (define @t3892 () (@list @t3889 @t3888 @t10)) % 45.25/45.43 (define @t3893 () (tptp.c_Divides_Odivmod__int__rel @t83 @t87)) % 45.25/45.43 (define @t3894 () (tptp.hBOOL (tptp.hAPP @t3893 @t3844))) % 45.25/45.43 (define @t3895 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t83 @t83) @t3844))) % 45.25/45.43 (define @t3896 () (@list @t1829 @t2120 @t83)) % 45.25/45.43 (define @t3897 () (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3178 @t2417) @t2423)))) % 45.25/45.43 (define @t3898 () (@list @t2423 @t2417 @t1829 @t2120 @t87 @t83)) % 45.25/45.43 (define @t3899 () (tptp.c_Wellfounded_Oaccp @t10 @t2919)) % 45.25/45.43 (define @t3900 () (tptp.hBOOL (tptp.hAPP @t3899 @t153))) % 45.25/45.43 (define @t3901 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2919 @t153) @t171))) % 45.25/45.43 (define @t3902 () (tptp.hAPP @t2919 @t3)) % 45.25/45.43 (define @t3903 () (@list @t153 @t2919 @t10)) % 45.25/45.43 (define @t3904 () (@list @t1829 @t2120 @t87 @t83)) % 45.25/45.43 (define @t3905 () (tptp.hAPP (tptp.hAPP @t2227 @t3862) @t3861)) % 45.25/45.43 (define @t3906 () (not (= @t84 @t2207))) % 45.25/45.43 (define @t3907 () (tptp.c_Divides_Odivmod__int__rel @t87 @t84)) % 45.25/45.43 (define @t3908 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2919) @t2207))) % 45.25/45.43 (define @t3909 () (tptp.hAPP @t2235 @t2741)) % 45.25/45.43 (define @t3910 () (tptp.c_Divides_Odivmod__int__rel @t153 @t171)) % 45.25/45.43 (define @t3911 () (tptp.hAPP @t2410 @t1829)) % 45.25/45.43 (define @t3912 () (tptp.hAPP @t3632 (tptp.hAPP @t3634 @t2398))) % 45.25/45.43 (define @t3913 () (tptp.tc_fun tptp.tc_Int_Oint @t2906)) % 45.25/45.43 (define @t3914 () (tptp.tc_fun @t2442 @t2442)) % 45.25/45.43 (define @t3915 () (tptp.c_Nitpick_Onat__gcd @t49 @t99)) % 45.25/45.43 (define @t3916 () (= @t99 @t1700)) % 45.25/45.43 (define @t3917 () (tptp.hAPP (tptp.hAPP @t3768 @t49) @t99)) % 45.25/45.43 (define @t3918 () (tptp.c_Wellfounded_Oaccp @t3813 tptp.c_Nitpick_Onat__gcd__rel)) % 45.25/45.43 (define @t3919 () (@var "V_nat" $$unsorted)) % 45.25/45.43 (define @t3920 () (tptp.hAPP tptp.c_Nat_OSuc @t3919)) % 45.25/45.43 (define @t3921 () (@list @t3919)) % 45.25/45.43 (define @t3922 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t10) tptp.c_Int_Onat) @t2)) % 45.25/45.43 (define @t3923 () (forall @t7 (=> @t205 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 45.25/45.43 (define @t3924 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t2348 @t2339))) % 45.25/45.43 (define @t3925 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3926 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2202 @t2335)) % 45.25/45.43 (define @t3927 () (tptp.hBOOL (tptp.hAPP @t3749 @t2207))) % 45.25/45.43 (define @t3928 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t51) @t113))) % 45.25/45.43 (define @t3929 () (tptp.c_Wellfounded_Omeasure @t10)) % 45.25/45.43 (define @t3930 () (tptp.hAPP @t3929 @t2)) % 45.25/45.43 (define @t3931 () (tptp.hAPP @t3753 @t49)) % 45.25/45.43 (define @t3932 () (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t99))) % 45.25/45.43 (define @t3933 () (tptp.c_Product__Type_Osnd @t40 @t1118)) % 45.25/45.43 (define @t3934 () (tptp.hAPP @t3933 @t49)) % 45.25/45.43 (define @t3935 () (tptp.c_Product__Type_Osnd @t40 @t10)) % 45.25/45.43 (define @t3936 () (@list @t49 @t2 @t1118 @t10 @t40)) % 45.25/45.43 (define @t3937 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t10 @t1118) @t49)) % 45.25/45.43 (define @t3938 () (tptp.hAPP @t3841 @t49)) % 45.25/45.43 (define @t3939 () (tptp.c_Product__Type_OPair @t10 @t35)) % 45.25/45.43 (define @t3940 () (tptp.c_Product__Type_Osnd @t10 @t35)) % 45.25/45.43 (define @t3941 () (tptp.hAPP @t3935 @t1072)) % 45.25/45.43 (define @t3942 () (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t821) @t51)) % 45.25/45.43 (define @t3943 () (tptp.c_Finite__Set_Ofolding @t10 @t40 @t2 @t757)) % 45.25/45.43 (define @t3944 () (@list @t49 @t25 @t757 @t2 @t40 @t10)) % 45.25/45.43 (define @t3945 () (tptp.c_Fun_Ocomp @t40 @t40 @t1118 @t113)) % 45.25/45.43 (define @t3946 () (tptp.c_Fun_Ocomp @t40 @t40 @t1118 @t51)) % 45.25/45.43 (define @t3947 () (tptp.hAPP @t3946 @t1)) % 45.25/45.43 (define @t3948 () (@var "T_g" $$unsorted)) % 45.25/45.43 (define @t3949 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3950 () (tptp.c_Fun_Ocomp @t40 @t40 @t1118 @t809)) % 45.25/45.43 (define @t3951 () (tptp.c_Fun_Ocomp @t40 @t40 @t1118 @t810)) % 45.25/45.43 (define @t3952 () (tptp.hAPP @t3951 @t1)) % 45.25/45.43 (define @t3953 () (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t810)) % 45.25/45.43 (define @t3954 () (tptp.hAPP @t3953 @t809)) % 45.25/45.43 (define @t3955 () (@list @t24 @t25 @t757 @t2 @t40 @t10)) % 45.25/45.43 (define @t3956 () (tptp.hAPP @t3953 @t51)) % 45.25/45.43 (define @t3957 () (@var "V_s_2" $$unsorted)) % 45.25/45.43 (define @t3958 () (= @t823 @t3956)) % 45.25/45.43 (define @t3959 () (= @t813 @t3954)) % 45.25/45.43 (define @t3960 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t3961 () (tptp.hAPP @t2712 @t2335)) % 45.25/45.43 (define @t3962 () (tptp.tc_fun @t1149 @t1149)) % 45.25/45.43 (define @t3963 () (tptp.tc_fun tptp.tc_Nat_Onat @t3962)) % 45.25/45.43 (define @t3964 () (tptp.tc_fun tptp.tc_Nat_Onat @t1149)) % 45.25/45.43 (define @t3965 () (tptp.hAPP tptp.c_Int_ORep__Integ @t348)) % 45.25/45.43 (define @t3966 () (tptp.hAPP @t3509 @t24)) % 45.25/45.43 (define @t3967 () (tptp.hAPP @t28 @t3510)) % 45.25/45.43 (define @t3968 () (tptp.hAPP (tptp.hAPP @t3508 (tptp.hAPP @t1755 (tptp.hAPP (tptp.hAPP @t1144 @t1593) @t160))) @t24)) % 45.25/45.43 (define @t3969 () (tptp.hAPP (tptp.hAPP @t3508 (tptp.hAPP @t1755 @t1593)) @t25)) % 45.25/45.43 (define @t3970 () (tptp.hAPP @t28 @t3969)) % 45.25/45.43 (define @t3971 () (@list @t24 @t160 @t25 @t10)) % 45.25/45.43 (define @t3972 () (tptp.c_Product__Type_Osnd @t10 @t40)) % 45.25/45.43 (define @t3973 () (tptp.c_Product__Type_Ofst @t10 @t40)) % 45.25/45.43 (define @t3974 () (tptp.c_Product__Type_Osnd @t35 @t10)) % 45.25/45.43 (define @t3975 () (tptp.hAPP @t3974 @t2126)) % 45.25/45.43 (define @t3976 () (tptp.c_Product__Type_Ofst @t35 @t10)) % 45.25/45.43 (define @t3977 () (tptp.hAPP @t3976 @t2126)) % 45.25/45.43 (define @t3978 () (@list @t49 @t2 @t1118 @t40 @t10)) % 45.25/45.43 (define @t3979 () (tptp.hAPP (tptp.hAPP @t3806 @t34) @t66)) % 45.25/45.43 (define @t3980 () (tptp.hAPP tptp.c_Int_ORep__Integ @t49)) % 45.25/45.43 (define @t3981 () (tptp.hAPP @t3973 @t1072)) % 45.25/45.43 (define @t3982 () (tptp.hAPP @t3933 @t1072)) % 45.25/45.43 (define @t3983 () (tptp.c_Product__Type_Ofst @t40 @t1118)) % 45.25/45.43 (define @t3984 () (tptp.hAPP @t3983 @t1072)) % 45.25/45.43 (define @t3985 () (tptp.hAPP @t3819 @t49)) % 45.25/45.43 (define @t3986 () (tptp.hAPP @t3985 @t99)) % 45.25/45.43 (define @t3987 () (tptp.c_Product__Type_Ofst @t40 @t10)) % 45.25/45.43 (define @t3988 () (tptp.hAPP @t58 @t99)) % 45.25/45.43 (define @t3989 () (tptp.hAPP (tptp.hAPP @t3413 @t1072) @t2741)) % 45.25/45.43 (define @t3990 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t3991 () (@var "V_qr_2" $$unsorted)) % 45.25/45.43 (define @t3992 () (tptp.hAPP @t3949 @t3991)) % 45.25/45.43 (define @t3993 () (tptp.hAPP @t3990 @t3991)) % 45.25/45.43 (define @t3994 () (tptp.c_Divides_Odivmod__nat__rel @t402 @t445)) % 45.25/45.43 (define @t3995 () (tptp.hAPP @t58 @t630)) % 45.25/45.43 (define @t3996 () (tptp.hAPP (tptp.hAPP @t3768 @t3) @t630)) % 45.25/45.43 (define @t3997 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.43 (define @t3998 () (tptp.hAPP @t3154 @t3061)) % 45.25/45.43 (define @t3999 () (tptp.c_Wellfounded_Omlex__prod @t10 @t2 @t3421)) % 45.25/45.43 (define @t4000 () (tptp.hBOOL (tptp.hAPP @t3932 @t3999))) % 45.25/45.43 (define @t4001 () (tptp.hBOOL (tptp.hAPP @t3932 @t3421))) % 45.25/45.43 (define @t4002 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t51) @t113))) % 45.25/45.43 (define @t4003 () (@list @t3421 @t10 @t99 @t49 @t2)) % 45.25/45.43 (define @t4004 () (tptp.hAPP @t600 @t525)) % 45.25/45.43 (define @t4005 () (tptp.hBOOL (tptp.hAPP @t202 @t380))) % 45.25/45.43 (define @t4006 () (tptp.c_Finite__Set_Ofolding__image @t10 @t40 @t2 @t348 @t757)) % 45.25/45.43 (define @t4007 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t4008 () (tptp.c_Orderings_Oord__class_OLeast @t10 @t58)) % 45.25/45.43 (define @t4009 () (tptp.hBOOL (tptp.hAPP @t58 @t4008))) % 45.25/45.43 (define @t4010 () (tptp.class_Orderings_Owellorder @t10)) % 45.25/45.43 (define @t4011 () (@list @t58 @t10)) % 45.25/45.43 (define @t4012 () (tptp.hBOOL (tptp.hAPP @t58 @t160))) % 45.25/45.43 (define @t4013 () (@list @t160 @t58 @t10)) % 45.25/45.43 (define @t4014 () (tptp.hAPP (tptp.hAPP @t757 @t761) @t25)) % 45.25/45.43 (define @t4015 () (@list @t761 @t1 @t25 @t757 @t348 @t2 @t40 @t10)) % 45.25/45.43 (define @t4016 () (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t58)) % 45.25/45.43 (define @t4017 () (= @t5 @t631)) % 45.25/45.43 (define @t4018 () (= @t3 @t630)) % 45.25/45.43 (define @t4019 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1118 @t569) @t25)) % 45.25/45.43 (define @t4020 () (= (tptp.hAPP @t600 (tptp.hAPP @t3376 @t24)) (tptp.hAPP @t4019 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t569 @t1118) @t600) @t24)))) % 45.25/45.43 (define @t4021 () (tptp.c_Product__Type_OPair @t40 @t40)) % 45.25/45.43 (define @t4022 () (tptp.tc_prod @t40 @t40)) % 45.25/45.43 (define @t4023 () (tptp.c_member @t4022)) % 45.25/45.43 (define @t4024 () (tptp.hAPP @t3753 @t153)) % 45.25/45.43 (define @t4025 () (tptp.c_Product__Type_OPair @t783 @t783)) % 45.25/45.43 (define @t4026 () (tptp.c_member (tptp.tc_prod @t783 @t783))) % 45.25/45.43 (define @t4027 () (tptp.c_Recdef_Osame__fst @t10 @t40 @t58 @t3421)) % 45.25/45.43 (define @t4028 () (@var "V_y_H_2" $$unsorted)) % 45.25/45.43 (define @t4029 () (tptp.hAPP @t3421 @t49)) % 45.25/45.43 (define @t4030 () (tptp.c_Wellfounded_Ofinite__psubset @t10)) % 45.25/45.43 (define @t4031 () (tptp.c_Product__Type_OPair @t27 @t27)) % 45.25/45.43 (define @t4032 () (tptp.tc_prod @t27 @t27)) % 45.25/45.43 (define @t4033 () (tptp.c_member @t4032)) % 45.25/45.43 (define @t4034 () (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t25) @t24))) % 45.25/45.43 (define @t4035 () (tptp.c_Finite__Set_Ofolding__idem @t10 @t40 @t2 @t757)) % 45.25/45.43 (define @t4036 () (tptp.hAPP @t2 @t749)) % 45.25/45.43 (define @t4037 () (tptp.hBOOL (tptp.hAPP @t933 @t3957))) % 45.25/45.43 (define @t4038 () (tptp.hAPP @t1060 @t3957)) % 45.25/45.43 (define @t4039 () (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3067 @t3957)) (tptp.hBOOL (tptp.hAPP @t1927 @t3066))))) % 45.25/45.43 (define @t4040 () (tptp.hBOOL (tptp.hAPP @t673 @t3957))) % 45.25/45.43 (define @t4041 () (tptp.class_Groups_Oordered__ab__group__add @t40)) % 45.25/45.43 (define @t4042 () (tptp.hAPP @t55 @t3)) % 45.25/45.43 (define @t4043 () (tptp.c_Product__Type_Osnd @t3354 @t1118)) % 45.25/45.43 (define @t4044 () (tptp.c_Product__Type_Oapfst @t3354 @t10 @t1118 @t1)) % 45.25/45.43 (define @t4045 () (tptp.c_Product__Type_Osnd @t1118 @t3354)) % 45.25/45.43 (define @t4046 () (tptp.hAPP @t1 (tptp.hAPP @t4045 @t49))) % 45.25/45.43 (define @t4047 () (tptp.c_Product__Type_Ofst @t1118 @t3354)) % 45.25/45.43 (define @t4048 () (tptp.hAPP @t2 (tptp.hAPP @t4047 @t49))) % 45.25/45.43 (define @t4049 () (tptp.c_Product__Type_Oapfst @t1118 @t10 @t40 @t2)) % 45.25/45.43 (define @t4050 () (@list @t49 @t1 @t3354 @t2 @t40 @t10 @t1118)) % 45.25/45.43 (define @t4051 () (tptp.c_Product__Type_OPair @t3813 @t3813)) % 45.25/45.43 (define @t4052 () (tptp.tc_prod @t3813 @t3813)) % 45.25/45.43 (define @t4053 () (tptp.c_member @t4052)) % 45.25/45.43 (define @t4054 () (tptp.hAPP @t4053 (tptp.hAPP (tptp.hAPP @t4051 (tptp.hAPP (tptp.hAPP @t3768 @t153) @t3957)) (tptp.hAPP (tptp.hAPP @t3768 @t171) @t545)))) % 45.25/45.43 (define @t4055 () (tptp.hBOOL (tptp.hAPP @t4054 tptp.c_FunDef_Opair__less))) % 45.25/45.43 (define @t4056 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t153) @t171))) % 45.25/45.43 (define @t4057 () (@list @t545 @t3957 @t171 @t153)) % 45.25/45.43 (define @t4058 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t1118 @t40) @t49)) % 45.25/45.43 (define @t4059 () (tptp.hAPP @t2 @t4058)) % 45.25/45.43 (define @t4060 () (tptp.hAPP @t4049 @t49)) % 45.25/45.43 (define @t4061 () (tptp.c_Product__Type_OPair @t1118 @t40)) % 45.25/45.43 (define @t4062 () (tptp.hBOOL (tptp.hAPP @t4054 tptp.c_FunDef_Opair__leq))) % 45.25/45.43 (define @t4063 () (@var "V_YS_2" $$unsorted)) % 45.25/45.43 (define @t4064 () (tptp.c_Set_Oinsert @t3813)) % 45.25/45.43 (define @t4065 () (tptp.hAPP @t4064 @t99)) % 45.25/45.43 (define @t4066 () (@var "V_XS_2" $$unsorted)) % 45.25/45.43 (define @t4067 () (tptp.tc_fun @t3813 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4068 () (tptp.c_Product__Type_OPair @t4067 @t4067)) % 45.25/45.43 (define @t4069 () (tptp.hAPP @t4068 @t4066)) % 45.25/45.43 (define @t4070 () (tptp.tc_prod @t4067 @t4067)) % 45.25/45.43 (define @t4071 () (tptp.c_member @t4070)) % 45.25/45.43 (define @t4072 () (tptp.hAPP @t4071 (tptp.hAPP @t4069 (tptp.hAPP @t4065 @t4063)))) % 45.25/45.43 (define @t4073 () (tptp.hAPP @t4071 (tptp.hAPP @t4069 @t4063))) % 45.25/45.43 (define @t4074 () (tptp.hAPP @t4053 (tptp.hAPP (tptp.hAPP @t4051 @t49) @t99))) % 45.25/45.43 (define @t4075 () (tptp.hBOOL (tptp.hAPP @t4074 tptp.c_FunDef_Opair__less))) % 45.25/45.43 (define @t4076 () (tptp.c_member @t3813)) % 45.25/45.43 (define @t4077 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 @t49) @t4066))) % 45.25/45.43 (define @t4078 () (@list @t4063 @t99 @t4066 @t49)) % 45.25/45.43 (define @t4079 () (tptp.hAPP @t4064 @t49)) % 45.25/45.43 (define @t4080 () (tptp.hAPP @t4068 @t877)) % 45.25/45.43 (define @t4081 () (tptp.hAPP @t4076 @t99)) % 45.25/45.43 (define @t4082 () (tptp.c_Orderings_Obot__class_Obot @t4067)) % 45.25/45.43 (define @t4083 () (tptp.hAPP @t4071 (tptp.hAPP @t4080 @t4082))) % 45.25/45.43 (define @t4084 () (@list @t877)) % 45.25/45.43 (define @t4085 () (tptp.hAPP @t4068 @t4082)) % 45.25/45.43 (define @t4086 () (tptp.c_Finite__Set_Ofinite @t3813)) % 45.25/45.43 (define @t4087 () (tptp.hBOOL (tptp.hAPP @t4074 tptp.c_FunDef_Opair__leq))) % 45.25/45.43 (define @t4088 () (tptp.tc_fun @t4070 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4089 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4070) (tptp.hAPP @t4085 @t4082)) (tptp.c_Orderings_Obot__class_Obot @t4088))) % 45.25/45.43 (define @t4090 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4088)) % 45.25/45.43 (define @t4091 () (tptp.c_Product__Type_OPair @t4088 @t4088)) % 45.25/45.43 (define @t4092 () (tptp.c_Wellfounded_Omax__ext @t10 @t3421)) % 45.25/45.43 (define @t4093 () (@var "V_xa_2" $$unsorted)) % 45.25/45.43 (define @t4094 () (tptp.tc_fun @t3740 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4095 () (tptp.hAPP (tptp.c_COMBB @t3739 @t4094 @t10) @t3756)) % 45.25/45.43 (define @t4096 () (tptp.tc_fun @t10 @t4094)) % 45.25/45.43 (define @t4097 () (tptp.tc_fun @t10 @t3739)) % 45.25/45.43 (define @t4098 () (tptp.c_COMBC @t10 @t3740 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4099 () (tptp.hAPP (tptp.c_COMBC @t10 @t3740 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4096 (tptp.tc_fun @t3740 @t27) @t10) @t4098) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4097 @t4096 @t10) @t4095) @t3753)))) % 45.25/45.43 (define @t4100 () (tptp.hAPP (tptp.hAPP @t1144 @t236) @t99)) % 45.25/45.43 (define @t4101 () (tptp.hAPP @t1144 @t49)) % 45.25/45.43 (define @t4102 () (tptp.hAPP @t4101 @t2107)) % 45.25/45.43 (define @t4103 () (tptp.hAPP (tptp.hAPP @t3768 @t236) @t2107)) % 45.25/45.43 (define @t4104 () (@list @t2107 @t236 @t99 @t49)) % 45.25/45.43 (define @t4105 () (tptp.tc_prod tptp.tc_Nat_Onat @t10)) % 45.25/45.43 (define @t4106 () (tptp.c_FunDef_Orp__inv__image @t10 @t40)) % 45.25/45.43 (define @t4107 () (tptp.c_FunDef_Oreduction__pair @t10 @t58)) % 45.25/45.43 (define @t4108 () (@list @t2 @t40 @t58 @t10)) % 45.25/45.43 (define @t4109 () (tptp.c_Relation_Oinv__image @t10 @t40)) % 45.25/45.43 (define @t4110 () (tptp.tc_fun @t4022 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4111 () (tptp.tc_prod @t4110 @t4110)) % 45.25/45.43 (define @t4112 () (tptp.tc_fun @t4110 @t4111)) % 45.25/45.43 (define @t4113 () (tptp.tc_fun @t146 @t4112)) % 45.25/45.43 (define @t4114 () (tptp.tc_fun @t146 @t4110)) % 45.25/45.43 (define @t4115 () (tptp.tc_fun @t146 @t4111)) % 45.25/45.43 (define @t4116 () (tptp.tc_fun @t4114 @t4115)) % 45.25/45.43 (define @t4117 () (tptp.tc_fun @t3740 @t4115)) % 45.25/45.43 (define @t4118 () (tptp.tc_fun @t3740 @t4114)) % 45.25/45.43 (define @t4119 () (tptp.c_Relation_Oinv__image @t40 @t10)) % 45.25/45.43 (define @t4120 () (tptp.hAPP (tptp.hAPP @t4119 @t2919) @t2)) % 45.25/45.43 (define @t4121 () (tptp.c_Relation_OImage @t3813 @t3813 tptp.c_Int_Ointrel)) % 45.25/45.43 (define @t4122 () (forall @t7 (=> @t2694 @t6))) % 45.25/45.43 (define @t4123 () (@list @t1 @t2 @t24 @t25 @t10)) % 45.25/45.43 (define @t4124 () (tptp.c_Relation_OImage @t40 @t10 @t3421)) % 45.25/45.43 (define @t4125 () (@list @t3421 @t10 @t40)) % 45.25/45.43 (define @t4126 () (tptp.hAPP @t4124 @t25)) % 45.25/45.43 (define @t4127 () (tptp.hAPP @t239 @t4126)) % 45.25/45.43 (define @t4128 () (tptp.tc_fun @t3820 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4129 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4128)) % 45.25/45.43 (define @t4130 () (tptp.hAPP @t4124 @t24)) % 45.25/45.43 (define @t4131 () (tptp.c_Relation_OImage @t40 @t10 @t2919)) % 45.25/45.43 (define @t4132 () (tptp.hAPP (tptp.hAPP @t3489 @t4131) @t24)) % 45.25/45.43 (define @t4133 () (tptp.hAPP @t3376 @t4132)) % 45.25/45.43 (define @t4134 () (tptp.hAPP @t4019 @t24)) % 45.25/45.43 (define @t4135 () (tptp.hAPP @t4131 @t4134)) % 45.25/45.43 (define @t4136 () (tptp.hAPP (tptp.hAPP @t246 @t4126) @t4130)) % 45.25/45.43 (define @t4137 () (tptp.hAPP @t4124 @t612)) % 45.25/45.43 (define @t4138 () (@list @t24 @t25 @t3421 @t40 @t10)) % 45.25/45.43 (define @t4139 () (tptp.c_Relation_OImage @t10 @t40 @t2919)) % 45.25/45.43 (define @t4140 () (tptp.hAPP @t4139 @t25)) % 45.25/45.43 (define @t4141 () (@var "V_r_H_2" $$unsorted)) % 45.25/45.43 (define @t4142 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3535 @t4141) @t2919))) % 45.25/45.43 (define @t4143 () (tptp.hAPP @t3819 @t3)) % 45.25/45.43 (define @t4144 () (tptp.c_member @t3820)) % 45.25/45.43 (define @t4145 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4144 (tptp.hAPP @t4143 @t171)) @t2919))) % 45.25/45.43 (define @t4146 () (tptp.hAPP @t4131 @t25)) % 45.25/45.43 (define @t4147 () (tptp.hBOOL (tptp.hAPP @t863 @t4146))) % 45.25/45.43 (define @t4148 () (@list @t25 @t2919 @t40 @t171 @t10)) % 45.25/45.43 (define @t4149 () (tptp.hBOOL (tptp.hAPP @t3783 @t2919))) % 45.25/45.43 (define @t4150 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t569 @t569) @t580) @t573)) % 45.25/45.43 (define @t4151 () (tptp.c_COMBB @t569 @t27 @t40)) % 45.25/45.43 (define @t4152 () (tptp.hAPP @t3819 @t153)) % 45.25/45.43 (define @t4153 () (tptp.hAPP @t4152 @t171)) % 45.25/45.43 (define @t4154 () (tptp.hAPP @t4131 @t3295)) % 45.25/45.43 (define @t4155 () (tptp.hAPP @t1264 @t99)) % 45.25/45.43 (define @t4156 () (tptp.hAPP @t1264 @t49)) % 45.25/45.43 (define @t4157 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 @t4103) @t4082)))) % 45.25/45.43 (define @t4158 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 @t3917) @t4082)))) % 45.25/45.43 (define @t4159 () (tptp.hAPP @t3768 @t402)) % 45.25/45.43 (define @t4160 () (tptp.tc_fun @t4067 @t4067)) % 45.25/45.43 (define @t4161 () (tptp.tc_fun tptp.tc_Nat_Onat @t4160)) % 45.25/45.43 (define @t4162 () (tptp.tc_fun tptp.tc_Nat_Onat @t4067)) % 45.25/45.43 (define @t4163 () (forall @t7 (not @t3758))) % 45.25/45.43 (define @t4164 () (tptp.c_Relation_OField @t10)) % 45.25/45.43 (define @t4165 () (tptp.hAPP @t4164 @t2919)) % 45.25/45.43 (define @t4166 () (tptp.hAPP @t4024 @t171)) % 45.25/45.43 (define @t4167 () (tptp.c_Set_Oinsert @t3739)) % 45.25/45.43 (define @t4168 () (@list @t2919 @t171 @t153 @t10)) % 45.25/45.43 (define @t4169 () (@list @t3421 @t10)) % 45.25/45.43 (define @t4170 () (tptp.hAPP @t4164 @t3957)) % 45.25/45.43 (define @t4171 () (tptp.hAPP @t3741 @t2919)) % 45.25/45.43 (define @t4172 () (tptp.hBOOL (tptp.hAPP @t4171 @t3957))) % 45.25/45.43 (define @t4173 () (@list @t3957 @t2919 @t10)) % 45.25/45.43 (define @t4174 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3740)) % 45.25/45.43 (define @t4175 () (tptp.hAPP @t4174 @t2919)) % 45.25/45.43 (define @t4176 () (tptp.hAPP @t4175 @t3957)) % 45.25/45.43 (define @t4177 () (tptp.c_Finite__Set_Ofinite @t3739)) % 45.25/45.43 (define @t4178 () (tptp.hBOOL (tptp.hAPP @t4177 @t2919))) % 45.25/45.43 (define @t4179 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t3739) @t3753) @t3442)) % 45.25/45.43 (define @t4180 () (tptp.c_Relation_OId__on @t10 @t25)) % 45.25/45.43 (define @t4181 () (tptp.c_Relation_OImage @t10 @t10 @t2919)) % 45.25/45.43 (define @t4182 () (tptp.c_COMBB @t27 @t27 @t10)) % 45.25/45.43 (define @t4183 () (tptp.tc_fun @t111 @t111)) % 45.25/45.43 (define @t4184 () (tptp.c_Equiv__Relations_Oquotient @t10)) % 45.25/45.43 (define @t4185 () (tptp.hAPP (tptp.hAPP @t4184 @t25) @t2919)) % 45.25/45.43 (define @t4186 () (@list @t2919 @t25 @t10)) % 45.25/45.43 (define @t4187 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t10)) % 45.25/45.43 (define @t4188 () (tptp.hAPP @t4187 tptp.c_fconj)) % 45.25/45.43 (define @t4189 () (tptp.tc_fun @t10 @t2906)) % 45.25/45.43 (define @t4190 () (tptp.hAPP (tptp.c_COMBB @t27 @t4189 @t10) @t4188)) % 45.25/45.43 (define @t4191 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t10 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4192 () (tptp.c_Fun_Oinj__on @t10 @t111 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3740 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 (tptp.tc_fun @t3740 @t111) @t10) @t4184) @t3265)) @t2919) @t25)) % 45.25/45.43 (define @t4193 () (tptp.hAPP @t4181 @t532)) % 45.25/45.43 (define @t4194 () (tptp.hAPP @t3756 @t4166)) % 45.25/45.43 (define @t4195 () (tptp.hAPP (tptp.hAPP @t4184 @t532) @t2919)) % 45.25/45.43 (define @t4196 () (@list @t2919 @t49 @t10)) % 45.25/45.43 (define @t4197 () (tptp.hBOOL (tptp.hAPP @t4194 @t2919))) % 45.25/45.43 (define @t4198 () (tptp.hAPP @t4181 @t492)) % 45.25/45.43 (define @t4199 () (tptp.hAPP @t4181 @t494)) % 45.25/45.43 (define @t4200 () (tptp.c_Equiv__Relations_Oequiv @t10 @t25 @t2919)) % 45.25/45.43 (define @t4201 () (=> @t888 @t4197)) % 45.25/45.43 (define @t4202 () (tptp.hBOOL (tptp.hAPP @t879 @t4185))) % 45.25/45.43 (define @t4203 () (tptp.c_Orderings_Otop__class_Otop @t4067)) % 45.25/45.43 (define @t4204 () (@list @t153 @t2919 @t25 @t10)) % 45.25/45.43 (define @t4205 () (= @t877 @t3496)) % 45.25/45.43 (define @t4206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t3496) @t4185))) % 45.25/45.43 (define @t4207 () (= @t4199 @t4198)) % 45.25/45.43 (define @t4208 () (@list @t171 @t153 @t2919 @t25 @t10)) % 45.25/45.43 (define @t4209 () (tptp.hBOOL (tptp.hAPP @t3932 @t2919))) % 45.25/45.43 (define @t4210 () (tptp.hBOOL (tptp.hAPP @t886 @t3496))) % 45.25/45.43 (define @t4211 () (tptp.hBOOL (tptp.hAPP @t842 @t877))) % 45.25/45.43 (define @t4212 () (@list @t99 @t49 @t3496 @t877 @t2919 @t25 @t10)) % 45.25/45.43 (define @t4213 () (= @t4193 (tptp.hAPP @t4181 @t1531))) % 45.25/45.43 (define @t4214 () (@list @t99 @t49 @t2919 @t25 @t10)) % 45.25/45.43 (define @t4215 () (@var "V_r2_2" $$unsorted)) % 45.25/45.43 (define @t4216 () (tptp.c_Relation_OImage @t40 @t40 @t4215)) % 45.25/45.43 (define @t4217 () (tptp.c_COMBB @t3187 @t3186 @t10)) % 45.25/45.43 (define @t4218 () (@var "V_r1_2" $$unsorted)) % 45.25/45.43 (define @t4219 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3186)) % 45.25/45.43 (define @t4220 () (@var "V_A2_2" $$unsorted)) % 45.25/45.43 (define @t4221 () (@var "V_A1_2" $$unsorted)) % 45.25/45.43 (define @t4222 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t40 @t3186 @t4218 @t4215 @t2)) % 45.25/45.43 (define @t4223 () (tptp.c_Equiv__Relations_Oequiv @t40 @t4220 @t4215)) % 45.25/45.43 (define @t4224 () (tptp.c_Equiv__Relations_Oequiv @t10 @t4221 @t4218)) % 45.25/45.43 (define @t4225 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t569 @t2919 @t2)) % 45.25/45.43 (define @t4226 () (tptp.hAPP @t3421 @t99)) % 45.25/45.43 (define @t4227 () (tptp.hBOOL (tptp.hAPP @t4029 @t99))) % 45.25/45.43 (define @t4228 () (=> @t4227 (=> (tptp.hBOOL (tptp.hAPP @t4226 @t348)) (tptp.hBOOL (tptp.hAPP @t4029 @t348))))) % 45.25/45.43 (define @t4229 () (tptp.c_Equiv__Relations_Oequivp @t10 @t3421)) % 45.25/45.43 (define @t4230 () (@list @t348 @t99 @t49 @t3421 @t10)) % 45.25/45.43 (define @t4231 () (=> @t4227 (tptp.hBOOL (tptp.hAPP @t4226 @t49)))) % 45.25/45.43 (define @t4232 () (@list @t99 @t49 @t3421 @t10)) % 45.25/45.43 (define @t4233 () (tptp.hBOOL (tptp.hAPP @t4029 @t49))) % 45.25/45.43 (define @t4234 () (@list @t49 @t3421 @t10)) % 45.25/45.43 (define @t4235 () (tptp.hAPP @t3421 @t630)) % 45.25/45.43 (define @t4236 () (tptp.hAPP @t3421 @t3)) % 45.25/45.43 (define @t4237 () (= @t4236 @t4235)) % 45.25/45.43 (define @t4238 () (tptp.hBOOL (tptp.hAPP @t4236 @t630))) % 45.25/45.43 (define @t4239 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t40 @t1118 @t4218 @t4215 @t2)) % 45.25/45.43 (define @t4240 () (@var "V_z2_2" $$unsorted)) % 45.25/45.43 (define @t4241 () (@var "V_z1_2" $$unsorted)) % 45.25/45.43 (define @t4242 () (@var "V_y2_2" $$unsorted)) % 45.25/45.43 (define @t4243 () (@var "V_y1_2" $$unsorted)) % 45.25/45.43 (define @t4244 () (tptp.hAPP @t3753 @t99)) % 45.25/45.43 (define @t4245 () (tptp.hAPP @t3756 (tptp.hAPP @t4244 @t348))) % 45.25/45.43 (define @t4246 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t40 @t2919 @t2)) % 45.25/45.43 (define @t4247 () (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t630))) % 45.25/45.43 (define @t4248 () (tptp.hBOOL (tptp.hAPP @t4247 @t2919))) % 45.25/45.43 (define @t4249 () (tptp.hAPP (tptp.hAPP @t777 @t877) @t2)) % 45.25/45.43 (define @t4250 () (@var "V_X2_2" $$unsorted)) % 45.25/45.43 (define @t4251 () (@var "V_X1_2" $$unsorted)) % 45.25/45.43 (define @t4252 () (tptp.c_member @t3186)) % 45.25/45.43 (define @t4253 () (@var "B_x2" $$unsorted)) % 45.25/45.43 (define @t4254 () (tptp.c_member @t569)) % 45.25/45.43 (define @t4255 () (tptp.c_member @t4067)) % 45.25/45.43 (define @t4256 () (tptp.c_Wellfounded_Oacc @t10 @t2919)) % 45.25/45.43 (define @t4257 () (tptp.hBOOL (tptp.hAPP @t842 @t4256))) % 45.25/45.43 (define @t4258 () (tptp.hAPP @t4099 @t2919)) % 45.25/45.43 (define @t4259 () (@list @t49 @t2919 @t10)) % 45.25/45.43 (define @t4260 () (tptp.hBOOL (tptp.hAPP @t4236 @t380))) % 45.25/45.43 (define @t4261 () (tptp.hBOOL (tptp.hAPP @t383 @t2102))) % 45.25/45.43 (define @t4262 () (tptp.hBOOL (tptp.hAPP @t204 @t2103))) % 45.25/45.43 (define @t4263 () (not @t2536)) % 45.25/45.43 (define @t4264 () (tptp.hBOOL (tptp.hAPP @t673 @t2102))) % 45.25/45.43 (define @t4265 () (tptp.hBOOL (tptp.hAPP @t673 @t2103))) % 45.25/45.43 (define @t4266 () (tptp.hBOOL (tptp.hAPP @t851 @t4256))) % 45.25/45.43 (define @t4267 () (tptp.hBOOL (tptp.hAPP @t863 @t4256))) % 45.25/45.43 (define @t4268 () (tptp.hBOOL (tptp.hAPP @t204 @t4256))) % 45.25/45.43 (define @t4269 () (@list @t2919 @t153 @t10)) % 45.25/45.43 (define @t4270 () (@var "V_Rep_2" $$unsorted)) % 45.25/45.43 (define @t4271 () (@var "V_Abs_2" $$unsorted)) % 45.25/45.43 (define @t4272 () (tptp.c_Typedef_Otype__definition @t10 @t40 @t4270 @t4271 @t25)) % 45.25/45.43 (define @t4273 () (@list @t25 @t4271 @t4270 @t40 @t10)) % 45.25/45.43 (define @t4274 () (tptp.hAPP @t4271 @t99)) % 45.25/45.43 (define @t4275 () (tptp.hBOOL (tptp.hAPP @t1035 @t25))) % 45.25/45.43 (define @t4276 () (@list @t99 @t49 @t25 @t4271 @t4270 @t40 @t10)) % 45.25/45.43 (define @t4277 () (tptp.hAPP @t4270 @t49)) % 45.25/45.43 (define @t4278 () (@list @t49 @t25 @t4271 @t4270 @t40 @t10)) % 45.25/45.43 (define @t4279 () (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t380))) % 45.25/45.43 (define @t4280 () (tptp.hBOOL (tptp.hAPP @t4279 @t3421))) % 45.25/45.43 (define @t4281 () (tptp.hBOOL (tptp.hAPP @t383 @t3496))) % 45.25/45.43 (define @t4282 () (tptp.hBOOL (tptp.hAPP @t204 @t877))) % 45.25/45.43 (define @t4283 () (not (= @t3496 @t142))) % 45.25/45.43 (define @t4284 () (tptp.hBOOL (tptp.hAPP @t673 @t3496))) % 45.25/45.43 (define @t4285 () (tptp.hBOOL (tptp.hAPP @t673 @t877))) % 45.25/45.43 (define @t4286 () (@list @t3421 @t3496 @t877 @t10)) % 45.25/45.43 (define @t4287 () (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4288 () (tptp.hAPP tptp.c_fequal @t49)) % 45.25/45.43 (define @t4289 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t40)) % 45.25/45.43 (define @t4290 () (tptp.hAPP (tptp.c_COMBB @t2906 @t3285 @t10) @t4289)) % 45.25/45.43 (define @t4291 () (tptp.hAPP @t3793 (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP @t4290 (tptp.hAPP @t4188 @t4288))) @t884))) % 45.25/45.43 (define @t4292 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 @t569 @t10) (tptp.hAPP (tptp.c_COMBB @t783 tptp.tc_HOL_Obool @t40) @t58)) @t3413)) % 45.25/45.43 (define @t4293 () (tptp.hAPP @t3793 @t4292)) % 45.25/45.43 (define @t4294 () (@list @t58 @t40 @t10)) % 45.25/45.43 (define @t4295 () (tptp.c_COMBB @t40 @t569 @t10)) % 45.25/45.43 (define @t4296 () (tptp.hAPP (tptp.hAPP @t4295 tptp.c_fequal) @t2)) % 45.25/45.43 (define @t4297 () (tptp.c_COMBC @t10 @t40 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4298 () (tptp.hAPP @t4297 @t4296)) % 45.25/45.43 (define @t4299 () (tptp.hAPP @t4188 @t3594)) % 45.25/45.43 (define @t4300 () (tptp.c_COMBS @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4301 () (tptp.hAPP @t4300 @t4299)) % 45.25/45.43 (define @t4302 () (tptp.hAPP @t4301 (tptp.hAPP @t4298 @t49))) % 45.25/45.43 (define @t4303 () (@list @t49 @t2 @t25 @t40 @t10)) % 45.25/45.43 (define @t4304 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t783 @t40 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t569 @t783) @t58) @t3973)) @t3972)) % 45.25/45.43 (define @t4305 () (tptp.hAPP @t3793 @t58)) % 45.25/45.43 (define @t4306 () (tptp.c_Nitpick_Ofrac @t35)) % 45.25/45.43 (define @t4307 () (tptp.c_Partial__Function_Oflat__lub @t10 @t171 @t25)) % 45.25/45.43 (define @t4308 () (tptp.hBOOL (tptp.hAPP @t31 @t492))) % 45.25/45.43 (define @t4309 () (tptp.c_Set_Ovimage @t10 @t40 @t2)) % 45.25/45.43 (define @t4310 () (tptp.hAPP @t4309 @t3295)) % 45.25/45.43 (define @t4311 () (@list @t153 @t2 @t40 @t10)) % 45.25/45.43 (define @t4312 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 45.25/45.43 (define @t4313 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4255 @t99) tptp.c_Int_OInteg))) % 45.25/45.43 (define @t4314 () (@list @t99)) % 45.25/45.43 (define @t4315 () (tptp.c_Set_Ovimage @t40 @t10 @t2)) % 45.25/45.43 (define @t4316 () (tptp.hAPP @t4315 @t24)) % 45.25/45.43 (define @t4317 () (= @t579 @t171)) % 45.25/45.43 (define @t4318 () (tptp.hAPP @t4309 @t24)) % 45.25/45.43 (define @t4319 () (tptp.hAPP @t4309 @t25)) % 45.25/45.43 (define @t4320 () (tptp.hAPP (tptp.hAPP @t3489 @t4309) @t24)) % 45.25/45.43 (define @t4321 () (@list @t24 @t25 @t1118 @t2 @t40 @t10)) % 45.25/45.43 (define @t4322 () (tptp.hAPP @t4315 @t25)) % 45.25/45.43 (define @t4323 () (tptp.hAPP @t568 @t4322)) % 45.25/45.43 (define @t4324 () (tptp.hAPP @t580 @t171)) % 45.25/45.43 (define @t4325 () (tptp.hBOOL (tptp.hAPP @t763 @t757))) % 45.25/45.43 (define @t4326 () (tptp.hBOOL (tptp.hAPP @t673 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t40 @t761) @t757)))) % 45.25/45.43 (define @t4327 () (@list @t757 @t761 @t40 @t10)) % 45.25/45.43 (define @t4328 () (tptp.hAPP (tptp.c_Set_Ovimage @t40 @t10 @t3361) @t25)) % 45.25/45.43 (define @t4329 () (@list @t24 @t2 @t40 @t10)) % 45.25/45.43 (define @t4330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4318) @t25))) % 45.25/45.43 (define @t4331 () (tptp.hAPP @t3239 @t24)) % 45.25/45.43 (define @t4332 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t3713 @t40) @t3712)) % 45.25/45.43 (define @t4333 () (tptp.hAPP (tptp.c_Set_Ovimage @t40 @t10 (tptp.hAPP (tptp.hAPP @t3328 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t10 @t3325) (tptp.hAPP @t4332 @t4331)) @t174)) @t170)) @t25)) % 45.25/45.43 (define @t4334 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t170) @t25))) % 45.25/45.43 (define @t4335 () (not @t4334)) % 45.25/45.43 (define @t4336 () (tptp.tc_fun @t3186 @t3186)) % 45.25/45.43 (define @t4337 () (tptp.hAPP @t3236 @t25)) % 45.25/45.43 (define @t4338 () (tptp.c_Product__Type_OSigma @t10 @t40)) % 45.25/45.43 (define @t4339 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3432 @t1118) @t3413) @t2)) % 45.25/45.43 (define @t4340 () (tptp.hBOOL @t3988)) % 45.25/45.43 (define @t4341 () (@list @t58 @t99)) % 45.25/45.43 (define @t4342 () (tptp.hAPP @t4338 @t25)) % 45.25/45.43 (define @t4343 () (tptp.hAPP @t4342 @t24)) % 45.25/45.43 (define @t4344 () (tptp.hBOOL (tptp.hAPP @t3783 @t4343))) % 45.25/45.43 (define @t4345 () (tptp.hAPP @t3317 @t62)) % 45.25/45.43 (define @t4346 () (tptp.c_Product__Type_OSigma @t40 @t10)) % 45.25/45.43 (define @t4347 () (tptp.hAPP (tptp.hAPP @t4346 @t24) @t4345)) % 45.25/45.43 (define @t4348 () (tptp.hAPP @t4346 @t25)) % 45.25/45.43 (define @t4349 () (tptp.hAPP @t4348 @t4345)) % 45.25/45.43 (define @t4350 () (tptp.hBOOL (tptp.hAPP @t842 @t62))) % 45.25/45.43 (define @t4351 () (@list @t24 @t25 @t40 @t62 @t49 @t10)) % 45.25/45.43 (define @t4352 () (tptp.hAPP @t4338 @t3210)) % 45.25/45.43 (define @t4353 () (tptp.hAPP @t4352 @t24)) % 45.25/45.43 (define @t4354 () (tptp.hAPP @t4352 @t25)) % 45.25/45.43 (define @t4355 () (tptp.c_Groups_Ominus__class_Ominus @t784)) % 45.25/45.43 (define @t4356 () (tptp.c_COMBS @t10 @t569 @t569)) % 45.25/45.43 (define @t4357 () (tptp.hAPP @t3256 @t62)) % 45.25/45.43 (define @t4358 () (tptp.hAPP @t4338 @t24)) % 45.25/45.43 (define @t4359 () (tptp.hAPP @t4358 @t4357)) % 45.25/45.43 (define @t4360 () (tptp.hAPP @t4342 @t4357)) % 45.25/45.43 (define @t4361 () (@list @t62 @t24 @t25 @t40 @t10)) % 45.25/45.43 (define @t4362 () (tptp.hAPP (tptp.hAPP @t4338 @t3455) @t62)) % 45.25/45.43 (define @t4363 () (tptp.hAPP @t4352 @t62)) % 45.25/45.43 (define @t4364 () (@list @t62 @t3455 @t3210 @t40 @t10)) % 45.25/45.43 (define @t4365 () (tptp.hAPP @t3256 @t24)) % 45.25/45.43 (define @t4366 () (tptp.hAPP @t4342 @t4365)) % 45.25/45.43 (define @t4367 () (tptp.c_Finite__Set_Ocard @t783)) % 45.25/45.43 (define @t4368 () (tptp.c_COMBK @t3186 @t40)) % 45.25/45.43 (define @t4369 () (tptp.c_Product__Type_OSigma @t40 @t1118)) % 45.25/45.43 (define @t4370 () (tptp.hAPP (tptp.hAPP @t4369 @t25) (tptp.hAPP @t4368 @t24))) % 45.25/45.43 (define @t4371 () (tptp.hAPP @t3256 @t615)) % 45.25/45.43 (define @t4372 () (tptp.c_Groups_Ouminus__class_Ouminus @t784)) % 45.25/45.43 (define @t4373 () (tptp.hAPP @t4338 @t143)) % 45.25/45.43 (define @t4374 () (tptp.hAPP @t3256 @t25)) % 45.25/45.43 (define @t4375 () (tptp.hAPP @t4348 (tptp.hAPP @t3317 @t24))) % 45.25/45.43 (define @t4376 () (tptp.hAPP (tptp.c_COMBC @t10 @t40 @t783) @t3413)) % 45.25/45.43 (define @t4377 () (tptp.hBOOL (tptp.hAPP @t786 @t4366))) % 45.25/45.43 (define @t4378 () (tptp.c_COMBK @t27 @t10)) % 45.25/45.43 (define @t4379 () (tptp.c_Product__Type_OSigma @t10 @t10)) % 45.25/45.43 (define @t4380 () (tptp.hAPP (tptp.hAPP @t4379 @t25) (tptp.hAPP @t4378 @t25))) % 45.25/45.43 (define @t4381 () (tptp.hBOOL (tptp.hAPP @t4171 @t4380))) % 45.25/45.43 (define @t4382 () (@list @t24 @t25 @t171 @t153 @t40 @t10)) % 45.25/45.43 (define @t4383 () (tptp.hAPP @t597 @t25)) % 45.25/45.43 (define @t4384 () (tptp.c_Orderings_Oord__class_Oless__eq @t4128)) % 45.25/45.43 (define @t4385 () (tptp.hAPP @t3535 @t2919)) % 45.25/45.43 (define @t4386 () (tptp.hBOOL (tptp.hAPP @t4385 @t4366))) % 45.25/45.43 (define @t4387 () (tptp.hAPP (tptp.c_Set_Oimage @t3820 @t40 @t3987) @t4375)) % 45.25/45.43 (define @t4388 () (tptp.hAPP (tptp.c_Set_Oimage @t783 @t40 @t3972) @t4366)) % 45.25/45.43 (define @t4389 () (tptp.hAPP @t4338 @t501)) % 45.25/45.43 (define @t4390 () (tptp.hAPP @t3256 (tptp.hAPP @t4324 @t24))) % 45.25/45.43 (define @t4391 () (tptp.c_Set_Oinsert @t783)) % 45.25/45.43 (define @t4392 () (tptp.hAPP @t4391 @t3782)) % 45.25/45.43 (define @t4393 () (@var "V_E_2" $$unsorted)) % 45.25/45.43 (define @t4394 () (tptp.tc_fun @t3418 @t784)) % 45.25/45.43 (define @t4395 () (tptp.tc_fun @t3354 @t784)) % 45.25/45.43 (define @t4396 () (tptp.tc_fun @t3354 @t3418)) % 45.25/45.43 (define @t4397 () (tptp.tc_fun @t3354 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4398 () (tptp.tc_prod @t1118 @t3354)) % 45.25/45.43 (define @t4399 () (tptp.tc_fun @t784 @t784)) % 45.25/45.43 (define @t4400 () (tptp.tc_fun @t40 @t4399)) % 45.25/45.43 (define @t4401 () (tptp.tc_fun @t40 @t784)) % 45.25/45.43 (define @t4402 () (tptp.c_Groups_Oone__class_Oone @t1118)) % 45.25/45.43 (define @t4403 () (tptp.tc_fun @t569 @t1118)) % 45.25/45.43 (define @t4404 () (tptp.c_COMBS @t10 @t569 @t1118)) % 45.25/45.43 (define @t4405 () (forall @t1122 (=> @t1048 (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t24 @t1038)))))) % 45.25/45.43 (define @t4406 () (tptp.c_COMBB @t3817 @t4403 @t10)) % 45.25/45.43 (define @t4407 () (@list @t2 @t24 @t40 @t25 @t10 @t1118)) % 45.25/45.43 (define @t4408 () (tptp.hAPP @t4404 (tptp.hAPP (tptp.hAPP @t4406 @t1120) @t2))) % 45.25/45.43 (define @t4409 () (tptp.hAPP (tptp.c_COMBB @t569 tptp.tc_Nat_Onat @t10) @t1535)) % 45.25/45.43 (define @t4410 () (tptp.hAPP @t3413 @t3)) % 45.25/45.43 (define @t4411 () (tptp.hAPP @t4410 @t630)) % 45.25/45.43 (define @t4412 () (tptp.hAPP @t864 @t630)) % 45.25/45.43 (define @t4413 () (tptp.hAPP @t3416 @t174)) % 45.25/45.43 (define @t4414 () (tptp.tc_prod @t10 @t1118)) % 45.25/45.43 (define @t4415 () (tptp.tc_fun @t4414 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4416 () (tptp.tc_prod @t40 @t3354)) % 45.25/45.43 (define @t4417 () (tptp.c_Set_Oimage @t4416 @t4414 (tptp.c_Product__Type_Omap__pair @t40 @t10 @t3354 @t1118 @t2 @t1))) % 45.25/45.43 (define @t4418 () (tptp.c_Set_Oimage @t3354 @t1118 @t1)) % 45.25/45.43 (define @t4419 () (tptp.c_COMBK @t3186 @t10)) % 45.25/45.43 (define @t4420 () (tptp.c_Product__Type_OSigma @t10 @t1118)) % 45.25/45.43 (define @t4421 () (tptp.hAPP @t4420 @t25)) % 45.25/45.43 (define @t4422 () (tptp.c_Product__Type_Omap__pair @t10 @t1118 @t40 @t3354 @t2 @t1)) % 45.25/45.43 (define @t4423 () (tptp.hAPP @t1 @t171)) % 45.25/45.43 (define @t4424 () (tptp.c_Product__Type_OPair @t1118 @t3354)) % 45.25/45.43 (define @t4425 () (tptp.c_member @t4398)) % 45.25/45.43 (define @t4426 () (tptp.c_Product__Type_Omap__pair @t10 @t10 @t40 @t40 @t3442 (tptp.c_COMBI @t40))) % 45.25/45.43 (define @t4427 () (tptp.c_Product__Type_Omap__pair @t1118 @t10 @t3354 @t40 @t2 @t1)) % 45.25/45.43 (define @t4428 () (tptp.tc_prod @t3353 @t3948)) % 45.25/45.43 (define @t4429 () (@var "V_g2_2" $$unsorted)) % 45.25/45.43 (define @t4430 () (@var "V_g1_2" $$unsorted)) % 45.25/45.43 (define @t4431 () (@var "V_prod_2" $$unsorted)) % 45.25/45.43 (define @t4432 () (tptp.tc_prod @t3354 @t1118)) % 45.25/45.43 (define @t4433 () (tptp.tc_fun @t3354 @t4398)) % 45.25/45.43 (define @t4434 () (tptp.tc_fun @t40 @t4398)) % 45.25/45.43 (define @t4435 () (tptp.tc_fun @t40 @t3354)) % 45.25/45.43 (define @t4436 () (@var "V_B_H_2" $$unsorted)) % 45.25/45.43 (define @t4437 () (= @t571 @t805)) % 45.25/45.43 (define @t4438 () (forall @t7 (=> @t205 @t3758))) % 45.25/45.43 (define @t4439 () (tptp.c_Relation_Orefl__on @t10 @t25 @t2919)) % 45.25/45.43 (define @t4440 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4441 () (tptp.hAPP @t4440 @t1323)) % 45.25/45.43 (define @t4442 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1149 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4443 () (tptp.hAPP @t4442 @t1190)) % 45.25/45.43 (define @t4444 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 tptp.tc_Nat_Onat) tptp.c_fconj)) % 45.25/45.43 (define @t4445 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4446 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t4447 () (tptp.hAPP @t1532 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4445 (tptp.hAPP @t4444 (tptp.hAPP @t4443 @t753))) (tptp.hAPP @t4441 @t1637))))) % 45.25/45.43 (define @t4448 () (tptp.hAPP @t4441 @t749)) % 45.25/45.43 (define @t4449 () (tptp.tc_fun @t1149 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4450 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4449 tptp.tc_Nat_Onat) @t1190)) % 45.25/45.43 (define @t4451 () (tptp.hAPP @t4442 (tptp.hAPP @t4450 tptp.c_Nat_OSuc))) % 45.25/45.43 (define @t4452 () (tptp.hAPP @t1532 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4445 (tptp.hAPP @t4444 (tptp.hAPP @t4451 @t753))) @t4448)))) % 45.25/45.43 (define @t4453 () (tptp.hAPP @t1190 @t1700)) % 45.25/45.43 (define @t4454 () (tptp.hBOOL (tptp.hAPP @t4453 @t753))) % 45.25/45.43 (define @t4455 () (@list @t749 @t753)) % 45.25/45.43 (define @t4456 () (tptp.c_Set_OCollect @t10)) % 45.25/45.43 (define @t4457 () (tptp.hAPP @t4456 @t58)) % 45.25/45.43 (define @t4458 () (tptp.hBOOL (tptp.hAPP @t851 @t4457))) % 45.25/45.43 (define @t4459 () (tptp.hAPP @t58 @t153)) % 45.25/45.43 (define @t4460 () (tptp.hBOOL @t4459)) % 45.25/45.43 (define @t4461 () (@list @t10 @t153 @t58)) % 45.25/45.43 (define @t4462 () (tptp.hAPP @t4188 @t58)) % 45.25/45.43 (define @t4463 () (tptp.hAPP @t4300 @t4462)) % 45.25/45.43 (define @t4464 () (tptp.hAPP @t4456 (tptp.hAPP @t4463 @t55))) % 45.25/45.43 (define @t4465 () (tptp.hAPP @t4456 @t55)) % 45.25/45.43 (define @t4466 () (tptp.hBOOL (tptp.hAPP @t673 @t4465))) % 45.25/45.43 (define @t4467 () (tptp.hBOOL (tptp.hAPP @t673 @t4457))) % 45.25/45.43 (define @t4468 () (@list @t55 @t58 @t10)) % 45.25/45.43 (define @t4469 () (tptp.c_Set_OCollect @t40)) % 45.25/45.43 (define @t4470 () (tptp.hAPP @t4338 @t4457)) % 45.25/45.43 (define @t4471 () (tptp.hAPP @t4290 @t4462)) % 45.25/45.43 (define @t4472 () (tptp.c_Set_OCollect @t783)) % 45.25/45.43 (define @t4473 () (@list @t55 @t58 @t40 @t10)) % 45.25/45.43 (define @t4474 () (tptp.hAPP @t3240 @t4469)) % 45.25/45.43 (define @t4475 () (tptp.hAPP @t184 @t4457)) % 45.25/45.43 (define @t4476 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4477 () (tptp.hAPP @t4476 tptp.c_fNot)) % 45.25/45.43 (define @t4478 () (tptp.hAPP @t4477 @t58)) % 45.25/45.43 (define @t4479 () (tptp.hAPP @t4456 @t4478)) % 45.25/45.43 (define @t4480 () (tptp.c_COMBB @t40 tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4481 () (tptp.hAPP @t4469 @t58)) % 45.25/45.43 (define @t4482 () (@list @t58 @t2 @t40 @t10)) % 45.25/45.43 (define @t4483 () (@list @t58 @t153 @t10)) % 45.25/45.43 (define @t4484 () (tptp.hAPP @t4187 tptp.c_fimplies)) % 45.25/45.43 (define @t4485 () (tptp.hAPP @t4187 tptp.c_fdisj)) % 45.25/45.43 (define @t4486 () (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4485 @t58)) @t55))) % 45.25/45.43 (define @t4487 () (not @t287)) % 45.25/45.43 (define @t4488 () (forall @t7 @t4487)) % 45.25/45.43 (define @t4489 () (tptp.c_COMBK tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4490 () (tptp.hAPP @t4489 tptp.c_fFalse)) % 45.25/45.43 (define @t4491 () (tptp.hAPP @t4456 (tptp.hAPP @t4301 @t3595))) % 45.25/45.43 (define @t4492 () (tptp.hAPP @t255 @t4457)) % 45.25/45.43 (define @t4493 () (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 @t3564)) @t58))) % 45.25/45.43 (define @t4494 () (not @t4460)) % 45.25/45.43 (define @t4495 () (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 @t3552)) @t58))) % 45.25/45.43 (define @t4496 () (tptp.hAPP @t4456 @t3564)) % 45.25/45.43 (define @t4497 () (tptp.c_Relation_Orefl__on @t10 @t24 @t3957)) % 45.25/45.43 (define @t4498 () (@list @t3957 @t24 @t2919 @t25 @t10)) % 45.25/45.43 (define @t4499 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3740)) % 45.25/45.43 (define @t4500 () (tptp.hAPP @t4499 @t2919)) % 45.25/45.43 (define @t4501 () (tptp.hAPP @t4500 @t3957)) % 45.25/45.43 (define @t4502 () (tptp.hAPP @t4297 @t3421)) % 45.25/45.43 (define @t4503 () (tptp.hAPP @t4300 (tptp.hAPP @t4188 @t3423))) % 45.25/45.43 (define @t4504 () (tptp.hAPP @t3309 @t4456)) % 45.25/45.43 (define @t4505 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t40)) % 45.25/45.43 (define @t4506 () (tptp.hAPP @t4505 tptp.c_fconj)) % 45.25/45.43 (define @t4507 () (tptp.c_COMBS @t40 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4508 () (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t3240 (tptp.hAPP @t4507 (tptp.hAPP @t4506 (tptp.hAPP @t3239 @t1690)))) @t3421))) % 45.25/45.43 (define @t4509 () (tptp.hBOOL (tptp.hAPP @t763 @t1690))) % 45.25/45.43 (define @t4510 () (tptp.hAPP @t610 @t525)) % 45.25/45.43 (define @t4511 () (tptp.hAPP @t3756 (tptp.hAPP @t4024 @t153))) % 45.25/45.43 (define @t4512 () (tptp.hBOOL (tptp.hAPP @t4511 @t2919))) % 45.25/45.43 (define @t4513 () (tptp.tc_fun @t4128 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4514 () (@list @t25 @t2919 @t10)) % 45.25/45.43 (define @t4515 () (tptp.hAPP @t4502 @t3)) % 45.25/45.43 (define @t4516 () (tptp.tc_fun @t3325 @t27)) % 45.25/45.43 (define @t4517 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t4516 @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) % 45.25/45.43 (define @t4518 () (tptp.hAPP (tptp.c_COMBC @t10 @t3325 @t27) @t4517)) % 45.25/45.43 (define @t4519 () (tptp.hAPP (tptp.c_COMBB @t4189 @t3445 @t10) @t4300)) % 45.25/45.43 (define @t4520 () (tptp.c_HOL_OEx @t10)) % 45.25/45.43 (define @t4521 () (tptp.hAPP @t4287 @t4520)) % 45.25/45.43 (define @t4522 () (tptp.c_Set_OCollect @t27)) % 45.25/45.43 (define @t4523 () (tptp.hAPP @t4522 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t27 tptp.tc_HOL_Obool) @t28) @t25))) % 45.25/45.43 (define @t4524 () (tptp.c_COMBB @t111 tptp.tc_HOL_Obool @t27)) % 45.25/45.43 (define @t4525 () (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t27)) % 45.25/45.43 (define @t4526 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t27)) % 45.25/45.43 (define @t4527 () (tptp.hAPP @t4526 tptp.c_fconj)) % 45.25/45.43 (define @t4528 () (tptp.tc_fun @t27 @t2906)) % 45.25/45.43 (define @t4529 () (tptp.hAPP (tptp.c_COMBB @t111 @t4528 @t27) @t4527)) % 45.25/45.43 (define @t4530 () (tptp.c_COMBS @t27 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4531 () (tptp.hAPP (tptp.c_COMBB @t4528 @t4183 @t27) @t4530)) % 45.25/45.43 (define @t4532 () (tptp.c_COMBC @t27 @t111 @t111)) % 45.25/45.43 (define @t4533 () (tptp.c_HOL_OEx @t27)) % 45.25/45.43 (define @t4534 () (tptp.c_COMBC @t40 @t10 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4535 () (tptp.hAPP @t4534 @t55)) % 45.25/45.43 (define @t4536 () (tptp.hBOOL @t3995)) % 45.25/45.43 (define @t4537 () (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t40)) % 45.25/45.43 (define @t4538 () (tptp.hAPP @t4537 @t4520)) % 45.25/45.43 (define @t4539 () (tptp.tc_fun @t44 @t27)) % 45.25/45.43 (define @t4540 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 45.25/45.43 (define @t4541 () (tptp.hAPP @t4540 (tptp.hAPP @t3912 @t58))) % 45.25/45.43 (define @t4542 () (tptp.tc_fun @t40 @t4022)) % 45.25/45.43 (define @t4543 () (tptp.tc_fun @t10 @t4022)) % 45.25/45.43 (define @t4544 () (tptp.tc_fun @t4110 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4545 () (tptp.tc_fun @t10 @t4544)) % 45.25/45.43 (define @t4546 () (tptp.c_Set_OCollect @t3739)) % 45.25/45.43 (define @t4547 () (tptp.hAPP @t1130 @t160)) % 45.25/45.43 (define @t4548 () (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4519 (tptp.hAPP @t4190 (tptp.hAPP @t4518 @t4547)))) (tptp.hAPP @t3422 @t830))))) % 45.25/45.43 (define @t4549 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t10)) % 45.25/45.43 (define @t4550 () (@list @t160 @t830 @t10)) % 45.25/45.43 (define @t4551 () (tptp.class_Lattices_Odistrib__lattice @t10)) % 45.25/45.43 (define @t4552 () (tptp.hAPP (tptp.c_COMBB @t2906 @t3445 @t10) @t4476)) % 45.25/45.43 (define @t4553 () (tptp.hAPP @t3264 (tptp.hAPP @t4552 @t4299))) % 45.25/45.43 (define @t4554 () (tptp.hAPP @t4553 @t3595)) % 45.25/45.43 (define @t4555 () (tptp.hAPP (tptp.c_COMBC @t10 @t3713 @t3890) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4516 (tptp.tc_fun @t3713 @t3890) @t10) (tptp.c_COMBB @t3325 @t27 @t10)) @t4517))) % 45.25/45.43 (define @t4556 () (tptp.tc_fun @t10 @t4189)) % 45.25/45.43 (define @t4557 () (tptp.hAPP (tptp.c_COMBB @t3890 @t4556 @t10) @t4190)) % 45.25/45.43 (define @t4558 () (tptp.tc_fun @t10 @t3445)) % 45.25/45.43 (define @t4559 () (tptp.hAPP (tptp.c_COMBB @t4556 @t4558 @t10) @t4519)) % 45.25/45.43 (define @t4560 () (tptp.hAPP (tptp.c_COMBB @t4558 (tptp.tc_fun @t3890 @t3890) @t10) (tptp.c_COMBS @t10 @t27 @t27))) % 45.25/45.43 (define @t4561 () (tptp.c_COMBC @t10 @t3890 @t3890)) % 45.25/45.43 (define @t4562 () (tptp.hAPP (tptp.c_COMBB @t3890 @t27 @t10) @t4521)) % 45.25/45.43 (define @t4563 () (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP @t4290 @t4299)) @t4331)) % 45.25/45.43 (define @t4564 () (tptp.hAPP @t3634 (tptp.hAPP @t2245 @t170))) % 45.25/45.43 (define @t4565 () (tptp.c_Set_OCollect @t3615)) % 45.25/45.43 (define @t4566 () (tptp.c_Int_Oint__ge__less__than @t170)) % 45.25/45.43 (define @t4567 () (@list @t170)) % 45.25/45.43 (define @t4568 () (tptp.c_Int_Oint__ge__less__than2 @t170)) % 45.25/45.43 (define @t4569 () (tptp.hAPP @t4546 (tptp.hAPP @t4191 @t2919))) % 45.25/45.43 (define @t4570 () (tptp.c_Predicate_Oreflp @t10 @t2919)) % 45.25/45.43 (define @t4571 () (tptp.tc_fun @t1118 @t1118)) % 45.25/45.43 (define @t4572 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3817 @t3817) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4571 (tptp.tc_fun @t3817 @t3817) @t10) (tptp.c_COMBB @t1118 @t1118 @t40)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1118 @t4571 @t10) @t3182) @t2))) @t1)) % 45.25/45.43 (define @t4573 () (tptp.tc_fun @t3817 @t569)) % 45.25/45.43 (define @t4574 () (tptp.tc_fun @t10 @t3817)) % 45.25/45.43 (define @t4575 () (tptp.tc_fun @t40 @t2906)) % 45.25/45.43 (define @t4576 () (tptp.tc_fun @t10 @t4575)) % 45.25/45.43 (define @t4577 () (tptp.tc_fun @t10 @t3285)) % 45.25/45.43 (define @t4578 () (tptp.c_HOL_OEx @t40)) % 45.25/45.43 (define @t4579 () (tptp.c_COMBB @t569 tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4580 () (tptp.hAPP @t4579 @t4578)) % 45.25/45.43 (define @t4581 () (tptp.c_Fun_Oid @t10)) % 45.25/45.43 (define @t4582 () (tptp.c_Fun_Oid @t40)) % 45.25/45.43 (define @t4583 () (tptp.c_Fun_Ocomp @t40 @t40 @t10 @t4582)) % 45.25/45.43 (define @t4584 () (@var "V_x_1" $$unsorted)) % 45.25/45.43 (define @t4585 () (tptp.c_Fun_Oid @t35)) % 45.25/45.43 (define @t4586 () (tptp.c_Fun_Oid @t783)) % 45.25/45.43 (define @t4587 () (@list @t10 @t40)) % 45.25/45.43 (define @t4588 () (tptp.hAPP @t2919 @t49)) % 45.25/45.43 (define @t4589 () (tptp.c_Set_Oimage @t10 @t10 @t4581)) % 45.25/45.43 (define @t4590 () (@list @t24 @t2 @t10 @t40)) % 45.25/45.43 (define @t4591 () (tptp.tc_prod @t1118 @t40)) % 45.25/45.43 (define @t4592 () (tptp.c_member @t4591)) % 45.25/45.43 (define @t4593 () (tptp.tc_fun @t4591 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4594 () (tptp.tc_fun @t4593 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4595 () (tptp.tc_fun @t1118 @t4594)) % 45.25/45.43 (define @t4596 () (tptp.c_member @t4414)) % 45.25/45.43 (define @t4597 () (tptp.tc_fun @t4415 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4598 () (tptp.tc_fun @t1118 @t4597)) % 45.25/45.43 (define @t4599 () (tptp.tc_fun @t1118 @t2906)) % 45.25/45.43 (define @t4600 () (tptp.c_Relation_Orel__comp @t10 @t1118 @t40)) % 45.25/45.43 (define @t4601 () (tptp.hAPP (tptp.hAPP @t4600 @t2919) @t3957)) % 45.25/45.43 (define @t4602 () (tptp.hAPP @t4534 @t58)) % 45.25/45.43 (define @t4603 () (tptp.hAPP (tptp.c_Set_OCollect @t3820) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t10 tptp.tc_HOL_Obool) @t58))) % 45.25/45.43 (define @t4604 () (tptp.c_Relation_ORange @t40 @t10)) % 45.25/45.43 (define @t4605 () (@list @t58 @t10 @t40)) % 45.25/45.43 (define @t4606 () (tptp.c_Relation_Orel__comp @t10 @t40 @t1118)) % 45.25/45.43 (define @t4607 () (tptp.hAPP (tptp.hAPP @t4606 @t2919) @t3957)) % 45.25/45.43 (define @t4608 () (tptp.hAPP (tptp.c_Relation_ORange @t10 @t40) @t2919)) % 45.25/45.43 (define @t4609 () (@list @t2919 @t171 @t153 @t40 @t10)) % 45.25/45.43 (define @t4610 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3354 @t784) @t3210)) % 45.25/45.43 (define @t4611 () (tptp.hAPP @t4600 @t3957)) % 45.25/45.43 (define @t4612 () (tptp.hAPP @t4600 @t3421)) % 45.25/45.43 (define @t4613 () (@list @t3421 @t40 @t1118 @t10)) % 45.25/45.43 (define @t4614 () (@var "V_s_H_2" $$unsorted)) % 45.25/45.43 (define @t4615 () (tptp.c_Orderings_Oord__class_Oless__eq @t4415)) % 45.25/45.43 (define @t4616 () (tptp.c_Orderings_Oord__class_Oless__eq @t3244)) % 45.25/45.43 (define @t4617 () (tptp.c_Relation_ORange @t10 @t10)) % 45.25/45.43 (define @t4618 () (tptp.c_Relation_Orel__comp @t10 @t10 @t10)) % 45.25/45.43 (define @t4619 () (tptp.hAPP @t4618 @t25)) % 45.25/45.43 (define @t4620 () (= (tptp.hAPP @t4619 @t62) @t3742)) % 45.25/45.43 (define @t4621 () (tptp.c_Orderings_Obot__class_Obot @t4128)) % 45.25/45.43 (define @t4622 () (tptp.hAPP @t4604 @t2919)) % 45.25/45.43 (define @t4623 () (@list @t2919 @t10 @t40)) % 45.25/45.43 (define @t4624 () (tptp.hAPP @t4604 @t24)) % 45.25/45.43 (define @t4625 () (tptp.hAPP @t4604 @t25)) % 45.25/45.43 (define @t4626 () (tptp.hBOOL (tptp.hAPP @t786 @t2919))) % 45.25/45.43 (define @t4627 () (@list @t2919 @t40 @t10)) % 45.25/45.43 (define @t4628 () (@list @t2919 @t40 @t153 @t10)) % 45.25/45.43 (define @t4629 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4128)) % 45.25/45.43 (define @t4630 () (tptp.tc_fun @t4032 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4631 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4032) (tptp.hAPP (tptp.hAPP @t4031 @t142) @t142)) (tptp.c_Orderings_Obot__class_Obot @t4630))) % 45.25/45.43 (define @t4632 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4630)) % 45.25/45.43 (define @t4633 () (tptp.c_Relation_Orel__comp @t27 @t27 @t27)) % 45.25/45.43 (define @t4634 () (tptp.c_Orderings_Oord__class_Oless__eq @t4630)) % 45.25/45.43 (define @t4635 () (tptp.hAPP @t4618 @t3421)) % 45.25/45.43 (define @t4636 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP @t4635 @t525)) @t3421))) % 45.25/45.43 (define @t4637 () (tptp.c_Wellfounded_Omin__ext @t10 @t3421)) % 45.25/45.43 (define @t4638 () (tptp.hAPP @t3433 @t2919)) % 45.25/45.43 (define @t4639 () (tptp.c_Predicate_Opred__comp @t10 @t40 @t1118 @t2919 @t3957)) % 45.25/45.43 (define @t4640 () (tptp.c_Predicate_ORangeP @t10 @t40 @t2919)) % 45.25/45.43 (define @t4641 () (@list @t40 @t10 @t171 @t153 @t2919)) % 45.25/45.43 (define @t4642 () (tptp.hAPP @t2919 @t2103)) % 45.25/45.43 (define @t4643 () (tptp.c_Wellfounded_Owf @t10 @t3421)) % 45.25/45.43 (define @t4644 () (tptp.hAPP @t4472 @t4305)) % 45.25/45.43 (define @t4645 () (tptp.c_Relation_ODomain @t10 @t40)) % 45.25/45.43 (define @t4646 () (tptp.hAPP (tptp.hAPP @t4109 @t2919) @t2)) % 45.25/45.43 (define @t4647 () (tptp.c_Wellfounded_Owf @t10 @t2919)) % 45.25/45.43 (define @t4648 () (@list @t2 @t40 @t2919 @t10)) % 45.25/45.43 (define @t4649 () (@var "V_rb_2" $$unsorted)) % 45.25/45.43 (define @t4650 () (@var "V_ra_2" $$unsorted)) % 45.25/45.43 (define @t4651 () (tptp.hAPP @t4645 @t2919)) % 45.25/45.43 (define @t4652 () (tptp.hBOOL (tptp.hAPP @t851 @t4651))) % 45.25/45.43 (define @t4653 () (tptp.hAPP @t4635 @t3421)) % 45.25/45.43 (define @t4654 () (@list @t1072 @t2919 @t10)) % 45.25/45.43 (define @t4655 () (@list @t4141 @t2919 @t10)) % 45.25/45.43 (define @t4656 () (tptp.c_Relation_ODomain @t10 @t10)) % 45.25/45.43 (define @t4657 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4658 () (tptp.c_Set_OCollect @t3813)) % 45.25/45.43 (define @t4659 () (tptp.hAPP @t4656 @t2919)) % 45.25/45.43 (define @t4660 () (tptp.hAPP @t4174 @t3421)) % 45.25/45.43 (define @t4661 () (tptp.hAPP @t4660 @t525)) % 45.25/45.43 (define @t4662 () (tptp.c_Wellfounded_Owf @t10 @t4661)) % 45.25/45.43 (define @t4663 () (tptp.hBOOL (tptp.hAPP @t4385 @t3957))) % 45.25/45.43 (define @t4664 () (@list @t3957 @t2919 @t40 @t10)) % 45.25/45.43 (define @t4665 () (tptp.hAPP @t4645 @t24)) % 45.25/45.43 (define @t4666 () (tptp.hAPP @t4645 @t25)) % 45.25/45.43 (define @t4667 () (@list @t3421 @t40 @t10)) % 45.25/45.43 (define @t4668 () (tptp.c_Relation_OImage @t10 @t10 @t3421)) % 45.25/45.43 (define @t4669 () (tptp.c_Wellfounded_Owf @t10 @t525)) % 45.25/45.43 (define @t4670 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 (tptp.hAPP @t3781 @t630)) @t2919))) % 45.25/45.43 (define @t4671 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3740 @t3740) @t58)) % 45.25/45.43 (define @t4672 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3740 @t3740) @t58)) % 45.25/45.43 (define @t4673 () (tptp.hAPP @t3741 @t525)) % 45.25/45.43 (define @t4674 () (tptp.hAPP @t3741 @t3421)) % 45.25/45.43 (define @t4675 () (tptp.hAPP @t4617 @t2919)) % 45.25/45.43 (define @t4676 () (tptp.c_List_Olenlex @t10 @t2919)) % 45.25/45.43 (define @t4677 () (tptp.tc_List_Olist @t10)) % 45.25/45.43 (define @t4678 () (tptp.c_Predicate_ODomainP @t10 @t40 @t2919)) % 45.25/45.43 (define @t4679 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1149 tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t4680 () (tptp.c_List_Olex @t10 @t2919)) % 45.25/45.43 (define @t4681 () (tptp.c_List_Olexn @t10 @t2919)) % 45.25/45.43 (define @t4682 () (tptp.hAPP @t4681 @t445)) % 45.25/45.43 (define @t4683 () (@list @t445 @t2919 @t10)) % 45.25/45.43 (define @t4684 () (tptp.tc_prod @t4677 @t4677)) % 45.25/45.43 (define @t4685 () (tptp.tc_fun @t4684 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4686 () (tptp.c_Wellfounded_OwfP @t10 @t2919)) % 45.25/45.43 (define @t4687 () (tptp.c_Wellfounded_Oacyclic @t10 @t4569)) % 45.25/45.43 (define @t4688 () (tptp.hAPP @t3756 @t3)) % 45.25/45.43 (define @t4689 () (tptp.hBOOL (tptp.hAPP @t4688 @t2919))) % 45.25/45.43 (define @t4690 () (tptp.hBOOL (tptp.hAPP @t204 @t142))) % 45.25/45.43 (define @t4691 () (tptp.c_Wellfounded_Oacyclic @t10 @t2919)) % 45.25/45.43 (define @t4692 () (@list @t2919 @t3957 @t10)) % 45.25/45.43 (define @t4693 () (tptp.hBOOL @t3212)) % 45.25/45.43 (define @t4694 () (tptp.hAPP @t3239 @t25)) % 45.25/45.43 (define @t4695 () (tptp.hAPP @t3240 (tptp.hAPP @t4507 (tptp.hAPP (tptp.hAPP @t4505 tptp.c_fimplies) @t4694)))) % 45.25/45.43 (define @t4696 () (tptp.hAPP @t4579 (tptp.c_HOL_OAll @t40))) % 45.25/45.43 (define @t4697 () (tptp.tc_fun @t3332 @t569)) % 45.25/45.43 (define @t4698 () (tptp.hAPP @t4182 (tptp.hAPP @t4300 (tptp.hAPP @t4484 @t3594)))) % 45.25/45.43 (define @t4699 () (tptp.hAPP @t4287 (tptp.c_HOL_OAll @t10))) % 45.25/45.43 (define @t4700 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t630)) % 45.25/45.43 (define @t4701 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4255 @t630) tptp.c_Int_OInteg))) % 45.25/45.43 (define @t4702 () (@list @t49 @t58)) % 45.25/45.43 (define @t4703 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t111 tptp.tc_HOL_Obool) @t387) @t25)) % 45.25/45.43 (define @t4704 () (tptp.c_COMBB @t111 @t111 @t10)) % 45.25/45.43 (define @t4705 () (tptp.c_COMBB @t111 tptp.tc_HOL_Obool @t10)) % 45.25/45.43 (define @t4706 () (tptp.hAPP @t2919 @t1848)) % 45.25/45.43 (define @t4707 () (tptp.hAPP @t2919 @t1966)) % 45.25/45.43 (define @t4708 () (tptp.hAPP @t3780 @t348)) % 45.25/45.43 (define @t4709 () (tptp.c_Hilbert__Choice_OEps @t10 @t58)) % 45.25/45.43 (define @t4710 () (tptp.hAPP @t3563 @t49)) % 45.25/45.43 (define @t4711 () (tptp.hBOOL (tptp.hAPP @t58 @t4709))) % 45.25/45.43 (define @t4712 () (@list @t10 @t58)) % 45.25/45.43 (define @t4713 () (@var "B_P" $$unsorted)) % 45.25/45.43 (define @t4714 () (tptp.c_Wellfounded_Oacc @t10 @t3421)) % 45.25/45.43 (define @t4715 () (tptp.hAPP @t203 @t2092)) % 45.25/45.43 (define @t4716 () (tptp.hAPP @t3753 @t2092)) % 45.25/45.43 (define @t4717 () (@list @t3421 @t49 @t10)) % 45.25/45.43 (define @t4718 () (tptp.hAPP @t3753 @t630)) % 45.25/45.43 (define @t4719 () (tptp.hAPP @t239 @t877)) % 45.25/45.43 (define @t4720 () (tptp.hAPP @t4719 @t25)) % 45.25/45.43 (define @t4721 () (tptp.hAPP @t28 @t877)) % 45.25/45.43 (define @t4722 () (tptp.hBOOL (tptp.hAPP @t851 @t877))) % 45.25/45.43 (define @t4723 () (tptp.c_Orderings_Oorder__class_Omono @t27 @t27 @t2)) % 45.25/45.43 (define @t4724 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t27 @t2)) % 45.25/45.43 (define @t4725 () (= @t25 @t4724)) % 45.25/45.43 (define @t4726 () (@list @t877 @t153 @t2 @t10 @t25)) % 45.25/45.43 (define @t4727 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t10 @t2)) % 45.25/45.43 (define @t4728 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t10 @t2)) % 45.25/45.43 (define @t4729 () (= @t25 @t4728)) % 45.25/45.43 (define @t4730 () (tptp.hAPP @t2 @t4728)) % 45.25/45.43 (define @t4731 () (tptp.hAPP @t101 @t877)) % 45.25/45.43 (define @t4732 () (tptp.hBOOL (tptp.hAPP @t4731 @t4728))) % 45.25/45.43 (define @t4733 () (tptp.hAPP @t2 @t877)) % 45.25/45.43 (define @t4734 () (@list @t2 @t877 @t10)) % 45.25/45.43 (define @t4735 () (tptp.hBOOL (tptp.hAPP @t851 @t4724))) % 45.25/45.43 (define @t4736 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t1) @t877)) % 45.25/45.43 (define @t4737 () (tptp.hAPP @t2 (tptp.hAPP @t4719 @t4724))) % 45.25/45.43 (define @t4738 () (@list @t877 @t153 @t2 @t10)) % 45.25/45.43 (define @t4739 () (tptp.hAPP @t291 @t877)) % 45.25/45.43 (define @t4740 () (tptp.hAPP @t4739 @t4728)) % 45.25/45.43 (define @t4741 () (tptp.hAPP @t2 @t4740)) % 45.25/45.43 (define @t4742 () (tptp.hBOOL (tptp.hAPP @t4731 @t4741))) % 45.25/45.43 (define @t4743 () (tptp.hAPP (tptp.c_COMBB @t27 @t3445 @t27) @t239)) % 45.25/45.43 (define @t4744 () (tptp.hAPP @t3469 (tptp.hAPP @t4743 (tptp.hAPP (tptp.hAPP @t3469 (tptp.hAPP @t4743 @t2)) @t877)))) % 45.25/45.43 (define @t4745 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t27 (tptp.hAPP @t4744 @t4724))) % 45.25/45.43 (define @t4746 () (tptp.hAPP @t2 @t4745)) % 45.25/45.43 (define @t4747 () (tptp.hBOOL (tptp.hAPP @t4721 @t4746))) % 45.25/45.43 (define @t4748 () (tptp.c_COMBB @t27 @t27 @t27)) % 45.25/45.43 (define @t4749 () (tptp.hAPP (tptp.hAPP @t4748 @t4456) @t58)) % 45.25/45.43 (define @t4750 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 @t2)) % 45.25/45.43 (define @t4751 () (tptp.hAPP @t101 @t4750)) % 45.25/45.43 (define @t4752 () (tptp.hAPP @t2 @t4750)) % 45.25/45.43 (define @t4753 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t27 @t2)) % 45.25/45.43 (define @t4754 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t784 @t2)) % 45.25/45.43 (define @t4755 () (tptp.hAPP tptp.c_Nat_OSuc @t1384)) % 45.25/45.43 (define @t4756 () (tptp.hAPP (tptp.hAPP @t3069 @t160) @t3068)) % 45.25/45.43 (define @t4757 () (tptp.hAPP (tptp.c_Random_Oiterate @t40 @t10 @t160 @t2) @t49)) % 45.25/45.43 (define @t4758 () (= @t160 @t3061)) % 45.25/45.43 (define @t4759 () (not @t4758)) % 45.25/45.43 (define @t4760 () (@list @t49 @t2 @t10 @t40 @t160)) % 45.25/45.43 (define @t4761 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t40 @t1118 @t3354 @t10) @t2) @t1) @t49)) % 45.25/45.43 (define @t4762 () (@list @t49 @t1 @t2 @t10 @t3354 @t1118 @t40)) % 45.25/45.43 (define @t4763 () (tptp.tc_fun @t3948 @t40)) % 45.25/45.43 (define @t4764 () (tptp.tc_fun @t3354 @t40)) % 45.25/45.43 (define @t4765 () (tptp.tc_fun @t1118 @t4764)) % 45.25/45.43 (define @t4766 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 45.25/45.43 (define @t4767 () (tptp.hAPP @t4076 (tptp.hAPP @t4159 @t445))) % 45.25/45.43 (define @t4768 () (@var "B_Q" $$unsorted)) % 45.25/45.43 (define @t4769 () (tptp.hAPP @t3756 (tptp.hAPP @t4718 @t3))) % 45.25/45.43 (define @t4770 () (tptp.hBOOL (tptp.hAPP @t4769 @t2919))) % 45.25/45.43 (define @t4771 () (tptp.hBOOL (tptp.hAPP @t204 @t4768))) % 45.25/45.43 (define @t4772 () (tptp.c_Transitive__Closure_Otrancl @t10 @t2919)) % 45.25/45.43 (define @t4773 () (tptp.c_Wellfounded_Owf @t10 @t4772)) % 45.25/45.43 (define @t4774 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t3757 @t4772))))) % 45.25/45.43 (define @t4775 () (tptp.hBOOL (tptp.hAPP @t4194 @t4772))) % 45.25/45.43 (define @t4776 () (tptp.hAPP @t3741 @t4772)) % 45.25/45.43 (define @t4777 () (tptp.hAPP @t3756 @t1072)) % 45.25/45.43 (define @t4778 () (tptp.hBOOL (tptp.hAPP @t4777 @t4772))) % 45.25/45.43 (define @t4779 () (tptp.hBOOL (tptp.hAPP @t4777 @t2919))) % 45.25/45.43 (define @t4780 () (@list @t2919 @t1072 @t10)) % 45.25/45.43 (define @t4781 () (tptp.hAPP @t3756 (tptp.hAPP @t4024 @t174))) % 45.25/45.43 (define @t4782 () (tptp.hBOOL (tptp.hAPP @t4781 @t4772))) % 45.25/45.43 (define @t4783 () (tptp.hAPP @t3753 @t171)) % 45.25/45.43 (define @t4784 () (tptp.hAPP @t3756 (tptp.hAPP @t4783 @t174))) % 45.25/45.43 (define @t4785 () (=> (tptp.hBOOL (tptp.hAPP @t4784 @t4772)) @t4782)) % 45.25/45.43 (define @t4786 () (@list @t174 @t2919 @t171 @t153 @t10)) % 45.25/45.43 (define @t4787 () (tptp.hBOOL (tptp.hAPP @t4784 @t2919))) % 45.25/45.43 (define @t4788 () (=> @t4787 @t4782)) % 45.25/45.43 (define @t4789 () (tptp.c_Transitive__Closure_Otrancl @t10 @t3421)) % 45.25/45.43 (define @t4790 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t2919)) % 45.25/45.43 (define @t4791 () (tptp.hAPP @t4174 @t4772)) % 45.25/45.43 (define @t4792 () (tptp.hAPP @t4244 @t49)) % 45.25/45.43 (define @t4793 () (tptp.hAPP (tptp.hAPP @t4167 @t4792) @t2919)) % 45.25/45.43 (define @t4794 () (@list @t2919 @t49 @t99 @t10)) % 45.25/45.43 (define @t4795 () (tptp.c_Relation_OId @t10)) % 45.25/45.43 (define @t4796 () (tptp.hAPP @t4175 @t4795)) % 45.25/45.43 (define @t4797 () (@list @t99 @t49 @t2919 @t10)) % 45.25/45.43 (define @t4798 () (tptp.hBOOL (tptp.hAPP @t4194 @t4790))) % 45.25/45.43 (define @t4799 () (tptp.hAPP @t4618 @t2919)) % 45.25/45.43 (define @t4800 () (tptp.hAPP @t4799 @t4790)) % 45.25/45.43 (define @t4801 () (tptp.hAPP (tptp.hAPP @t4618 @t4790) @t2919)) % 45.25/45.43 (define @t4802 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t3421)) % 45.25/45.43 (define @t4803 () (tptp.hBOOL (tptp.hAPP @t4781 @t4790))) % 45.25/45.43 (define @t4804 () (tptp.hBOOL (tptp.hAPP @t4784 @t4790))) % 45.25/45.43 (define @t4805 () (=> @t4804 @t4803)) % 45.25/45.43 (define @t4806 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3740) @t2919) @t4795)) % 45.25/45.43 (define @t4807 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4661)) % 45.25/45.43 (define @t4808 () (tptp.hAPP @t3756 @t49)) % 45.25/45.43 (define @t4809 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t525)) % 45.25/45.43 (define @t4810 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t3957)) % 45.25/45.43 (define @t4811 () (tptp.hAPP @t3741 @t4790)) % 45.25/45.43 (define @t4812 () (tptp.hBOOL (tptp.hAPP @t4811 @t4810))) % 45.25/45.43 (define @t4813 () (tptp.hAPP @t4174 @t4802)) % 45.25/45.43 (define @t4814 () (tptp.hAPP @t4813 @t4809)) % 45.25/45.43 (define @t4815 () (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t348))) % 45.25/45.43 (define @t4816 () (tptp.hBOOL (tptp.hAPP @t3932 @t4790))) % 45.25/45.43 (define @t4817 () (@list @t348 @t2919 @t99 @t49 @t10)) % 45.25/45.43 (define @t4818 () (=> @t4804 @t4782)) % 45.25/45.43 (define @t4819 () (tptp.hBOOL (tptp.hAPP @t3932 @t4789))) % 45.25/45.43 (define @t4820 () (tptp.hBOOL (tptp.hAPP @t3932 @t4802))) % 45.25/45.43 (define @t4821 () (@list @t3421 @t99 @t49 @t10)) % 45.25/45.43 (define @t4822 () (tptp.hAPP @t3756 (tptp.hAPP @t4783 @t153))) % 45.25/45.43 (define @t4823 () (tptp.hBOOL (tptp.hAPP @t4822 @t4790))) % 45.25/45.43 (define @t4824 () (not @t4816)) % 45.25/45.43 (define @t4825 () (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t49))) % 45.25/45.43 (define @t4826 () (tptp.c_Relation_Oconverse @t10 @t10)) % 45.25/45.43 (define @t4827 () (tptp.hAPP @t4826 @t2919)) % 45.25/45.43 (define @t4828 () (forall @t1970 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP @t2 @t3149)) @t3066)) @t4790)))) % 45.25/45.43 (define @t4829 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4827)) % 45.25/45.43 (define @t4830 () (tptp.c_Relation_Oconverse @t40 @t10)) % 45.25/45.43 (define @t4831 () (tptp.hAPP @t4830 @t2919)) % 45.25/45.43 (define @t4832 () (tptp.hAPP @t4830 @t3957)) % 45.25/45.43 (define @t4833 () (@list @t3957 @t2919 @t10 @t40)) % 45.25/45.43 (define @t4834 () (tptp.hAPP (tptp.c_Relation_Oconverse @t10 @t40) @t2919)) % 45.25/45.43 (define @t4835 () (tptp.hAPP @t4144 (tptp.hAPP (tptp.hAPP @t3819 @t171) @t153))) % 45.25/45.43 (define @t4836 () (tptp.hBOOL (tptp.hAPP @t4835 @t2919))) % 45.25/45.43 (define @t4837 () (tptp.hBOOL (tptp.hAPP @t3783 @t4831))) % 45.25/45.43 (define @t4838 () (@list @t3957 @t2919 @t1118 @t10 @t40)) % 45.25/45.43 (define @t4839 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4128 @t784 @t1118) @t4830) @t2919)) % 45.25/45.43 (define @t4840 () (@list @t2919 @t525 @t1118 @t10 @t40)) % 45.25/45.43 (define @t4841 () (tptp.hAPP @t4826 @t4772)) % 45.25/45.43 (define @t4842 () (tptp.c_Transitive__Closure_Otrancl @t10 @t4827)) % 45.25/45.43 (define @t4843 () (tptp.c_Wellfounded_Owf @t10 @t4827)) % 45.25/45.43 (define @t4844 () (tptp.hAPP (tptp.hAPP @t4618 @t4827) @t2919)) % 45.25/45.43 (define @t4845 () (= @t4844 @t2919)) % 45.25/45.43 (define @t4846 () (tptp.hAPP @t4645 @t4831)) % 45.25/45.43 (define @t4847 () (tptp.hBOOL (tptp.hAPP @t3932 @t4829))) % 45.25/45.43 (define @t4848 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 @t4792) @t4790))) % 45.25/45.43 (define @t4849 () (@list @t2919 @t99 @t49 @t10)) % 45.25/45.43 (define @t4850 () (tptp.hBOOL (tptp.hAPP @t3932 @t4842))) % 45.25/45.43 (define @t4851 () (tptp.hBOOL (tptp.hAPP @t3932 @t4841))) % 45.25/45.43 (define @t4852 () (tptp.tc_fun @t40 @t4513)) % 45.25/45.43 (define @t4853 () (tptp.c_Relation_Ototal__on @t10 @t25 @t2919)) % 45.25/45.43 (define @t4854 () (tptp.c_Relation_Osingle__valued @t10 @t40 @t2919)) % 45.25/45.43 (define @t4855 () (tptp.hAPP @t4410 @t2092)) % 45.25/45.43 (define @t4856 () (@list @t348 @t99 @t49 @t2919 @t10)) % 45.25/45.43 (define @t4857 () (tptp.c_Nat_Ocompow @t3739 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4858 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3740) @t1349) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3740 @t3740) @t4857) @t3421))) % 45.25/45.43 (define @t4859 () (tptp.hBOOL (tptp.hAPP @t4777 @t4802))) % 45.25/45.43 (define @t4860 () (@list @t3421 @t1072 @t10)) % 45.25/45.43 (define @t4861 () (tptp.hAPP (tptp.hAPP @t4857 @t445) @t3421)) % 45.25/45.43 (define @t4862 () (@list @t445 @t3421 @t10)) % 45.25/45.43 (define @t4863 () (tptp.c_Nat_Ocompow @t10 @t10)) % 45.25/45.43 (define @t4864 () (tptp.hAPP @t4863 @t445)) % 45.25/45.43 (define @t4865 () (tptp.hAPP @t4864 @t2)) % 45.25/45.43 (define @t4866 () (tptp.hAPP (tptp.hAPP @t4863 @t402) @t2)) % 45.25/45.43 (define @t4867 () (@list @t3421 @t445 @t10)) % 45.25/45.43 (define @t4868 () (tptp.hAPP (tptp.hAPP @t4618 @t4861) @t3421)) % 45.25/45.43 (define @t4869 () (tptp.hBOOL (tptp.hAPP @t4777 (tptp.hAPP (tptp.hAPP @t4857 @t1593) @t3421)))) % 45.25/45.43 (define @t4870 () (tptp.hAPP (tptp.hAPP @t4857 @t1604) @t3421)) % 45.25/45.43 (define @t4871 () (tptp.hAPP (tptp.hAPP @t4857 @t1700) @t3421)) % 45.25/45.43 (define @t4872 () (tptp.hBOOL (tptp.hAPP @t4815 @t4870))) % 45.25/45.43 (define @t4873 () (tptp.hAPP (tptp.hAPP @t4857 @t1189) @t3421)) % 45.25/45.43 (define @t4874 () (tptp.hAPP @t3756 (tptp.hAPP @t4718 @t348))) % 45.25/45.43 (define @t4875 () (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t630))) % 45.25/45.43 (define @t4876 () (tptp.hBOOL (tptp.hAPP @t4875 @t3421))) % 45.25/45.43 (define @t4877 () (@list @t630 @t1189)) % 45.25/45.43 (define @t4878 () (=> @t1733 (not @t1480))) % 45.25/45.43 (define @t4879 () (tptp.hBOOL (tptp.hAPP @t4815 @t4861))) % 45.25/45.43 (define @t4880 () (@list @t3421 @t445 @t348 @t49 @t10)) % 45.25/45.43 (define @t4881 () (not (tptp.hBOOL (tptp.hAPP @t4874 @t3421)))) % 45.25/45.43 (define @t4882 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t58)) % 45.25/45.43 (define @t4883 () (tptp.hBOOL (tptp.hAPP @t4194 @t4882))) % 45.25/45.43 (define @t4884 () (tptp.hBOOL (tptp.hAPP @t4194 (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP (tptp.hAPP @t4174 @t58) @t55))))) % 45.25/45.43 (define @t4885 () (@list @t55 @t58 @t171 @t153 @t10)) % 45.25/45.43 (define @t4886 () (tptp.hBOOL (tptp.hAPP @t4874 @t4861))) % 45.25/45.43 (define @t4887 () (tptp.hAPP @t3756 (tptp.hAPP @t4716 @t99))) % 45.25/45.43 (define @t4888 () (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t2092))) % 45.25/45.43 (define @t4889 () (@var "V_P_H_2" $$unsorted)) % 45.25/45.43 (define @t4890 () (tptp.hBOOL @t4042)) % 45.25/45.43 (define @t4891 () (@var "V_yx_2" $$unsorted)) % 45.25/45.43 (define @t4892 () (@var "V_xz_2" $$unsorted)) % 45.25/45.43 (define @t4893 () (tptp.c_Nitpick_Odenom @t10)) % 45.25/45.43 (define @t4894 () (tptp.hAPP @t4893 @t2919)) % 45.25/45.43 (define @t4895 () (tptp.hAPP @t3591 @t2538)) % 45.25/45.43 (define @t4896 () (tptp.c_Nitpick_Onum @t10)) % 45.25/45.43 (define @t4897 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 45.25/45.43 (define @t4898 () (tptp.hAPP @t4893 @t2741)) % 45.25/45.43 (define @t4899 () (@list @t2919 @t2741 @t10)) % 45.25/45.43 (define @t4900 () (tptp.c_Nitpick_Odenom @t35)) % 45.25/45.43 (define @t4901 () (tptp.hAPP @t4900 @t2120)) % 45.25/45.43 (define @t4902 () (tptp.c_Nitpick_Onum @t35)) % 45.25/45.43 (define @t4903 () (tptp.hAPP @t4902 @t2120)) % 45.25/45.43 (define @t4904 () (@list @t2120 @t35)) % 45.25/45.43 (define @t4905 () (tptp.hAPP @t4896 (tptp.c_Nitpick_Oplus__frac @t10 @t2741 (tptp.c_Nitpick_Ouminus__frac @t10 @t2919)))) % 45.25/45.43 (define @t4906 () (tptp.c_Nitpick_ORep__Frac @t10)) % 45.25/45.43 (define @t4907 () (tptp.c_Nat_Osize__class_Osize @t4677)) % 45.25/45.43 (define @t4908 () (tptp.tc_prod tptp.tc_Nat_Onat @t4677)) % 45.25/45.43 (define @t4909 () (@var "V_ys_2" $$unsorted)) % 45.25/45.43 (define @t4910 () (tptp.hAPP @t4907 @t4909)) % 45.25/45.43 (define @t4911 () (= @t4910 @t445)) % 45.25/45.43 (define @t4912 () (@var "V_xs_2" $$unsorted)) % 45.25/45.43 (define @t4913 () (tptp.hAPP @t4907 @t4912)) % 45.25/45.43 (define @t4914 () (tptp.c_Product__Type_OPair @t4677 @t4677)) % 45.25/45.43 (define @t4915 () (tptp.hAPP @t4914 @t4912)) % 45.25/45.43 (define @t4916 () (tptp.c_member @t4684)) % 45.25/45.43 (define @t4917 () (tptp.hAPP @t4916 (tptp.hAPP @t4915 @t4909))) % 45.25/45.43 (define @t4918 () (@var "V_ys" $$unsorted)) % 45.25/45.43 (define @t4919 () (@var "V_xs" $$unsorted)) % 45.25/45.43 (define @t4920 () (= @t4919 @t4918)) % 45.25/45.43 (define @t4921 () (tptp.tc_List_Olist @t35)) % 45.25/45.43 (define @t4922 () (tptp.c_Nat_Osize__class_Osize @t4921)) % 45.25/45.43 (define @t4923 () (tptp.hAPP @t4922 @t4918)) % 45.25/45.43 (define @t4924 () (tptp.hAPP @t4922 @t4919)) % 45.25/45.43 (define @t4925 () (@list @t4918 @t4919 @t35)) % 45.25/45.43 (define @t4926 () (tptp.tc_fun @t4685 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4927 () (tptp.tc_fun @t4677 @t4926)) % 45.25/45.43 (define @t4928 () (tptp.tc_fun @t4677 @t4684)) % 45.25/45.43 (define @t4929 () (tptp.tc_fun @t4677 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4930 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1149 @t4677)) % 45.25/45.43 (define @t4931 () (tptp.hAPP (tptp.hAPP @t4930 tptp.c_fequal) @t4907)) % 45.25/45.43 (define @t4932 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4677)) % 45.25/45.43 (define @t4933 () (tptp.tc_fun @t4677 tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t4934 () (tptp.hAPP (tptp.c_COMBB @t1149 (tptp.tc_fun @t4933 @t4929) @t4677) @t4932)) % 45.25/45.43 (define @t4935 () (tptp.c_COMBC @t4677 @t4933 @t4929)) % 45.25/45.43 (define @t4936 () (tptp.hAPP (tptp.hAPP @t4935 (tptp.hAPP @t4934 @t4931)) @t4907)) % 45.25/45.43 (define @t4937 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t4677)) % 45.25/45.43 (define @t4938 () (tptp.hAPP @t4937 tptp.c_fconj)) % 45.25/45.43 (define @t4939 () (tptp.tc_fun @t4677 @t2906)) % 45.25/45.43 (define @t4940 () (tptp.c_COMBB @t4929 @t4939 @t4677)) % 45.25/45.43 (define @t4941 () (tptp.c_COMBS @t4677 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4942 () (tptp.tc_fun @t4929 @t4929)) % 45.25/45.43 (define @t4943 () (tptp.hAPP (tptp.c_COMBB @t4939 @t4942 @t4677) @t4941)) % 45.25/45.43 (define @t4944 () (tptp.c_COMBS @t4677 @t4929 @t4929)) % 45.25/45.43 (define @t4945 () (tptp.c_Product__Type_Oprod_Oprod__case @t4677 @t4677 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4946 () (tptp.c_Set_OCollect @t4684)) % 45.25/45.43 (define @t4947 () (tptp.hAPP @t4441 @t4913)) % 45.25/45.43 (define @t4948 () (tptp.hAPP @t4445 (tptp.hAPP @t4444 @t4947))) % 45.25/45.43 (define @t4949 () (tptp.hAPP @t4948 (tptp.hAPP @t4443 @t3210))) % 45.25/45.43 (define @t4950 () (tptp.c_List_Osublist @t10 @t4912 @t3210)) % 45.25/45.43 (define @t4951 () (@list @t3210 @t4912 @t10)) % 45.25/45.43 (define @t4952 () (tptp.c_COMBC @t4677 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t4953 () (tptp.hAPP @t4952 @t4931)) % 45.25/45.43 (define @t4954 () (tptp.hAPP @t4953 @t1604)) % 45.25/45.43 (define @t4955 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4677)) % 45.25/45.43 (define @t4956 () (tptp.c_List_Olist_OCons @t10)) % 45.25/45.43 (define @t4957 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4677 @t4677) @t4956)) % 45.25/45.43 (define @t4958 () (tptp.tc_prod @t10 @t4677)) % 45.25/45.43 (define @t4959 () (tptp.c_List_Olist_OCons @t35)) % 45.25/45.43 (define @t4960 () (tptp.hAPP @t4959 @t34)) % 45.25/45.43 (define @t4961 () (tptp.hAPP @t4960 @t4918)) % 45.25/45.43 (define @t4962 () (tptp.hAPP @t1080 @t4924)) % 45.25/45.43 (define @t4963 () (@var "V_list_H_2" $$unsorted)) % 45.25/45.43 (define @t4964 () (@var "V_list_2" $$unsorted)) % 45.25/45.43 (define @t4965 () (tptp.hAPP @t4956 @t153)) % 45.25/45.43 (define @t4966 () (tptp.hAPP @t4965 @t4964)) % 45.25/45.43 (define @t4967 () (tptp.hAPP @t4960 @t4919)) % 45.25/45.43 (define @t4968 () (@list @t4919 @t34 @t35)) % 45.25/45.43 (define @t4969 () (@list @t34 @t35 @t4919)) % 45.25/45.43 (define @t4970 () (@var "V_list" $$unsorted)) % 45.25/45.43 (define @t4971 () (tptp.hAPP @t4959 @t83)) % 45.25/45.43 (define @t4972 () (= @t4913 @t4910)) % 45.25/45.43 (define @t4973 () (tptp.hAPP @t4956 @t99)) % 45.25/45.43 (define @t4974 () (tptp.hAPP @t4973 @t4909)) % 45.25/45.43 (define @t4975 () (tptp.hAPP @t4956 @t49)) % 45.25/45.43 (define @t4976 () (tptp.hAPP @t4975 @t4912)) % 45.25/45.43 (define @t4977 () (tptp.hAPP @t4914 @t4976)) % 45.25/45.43 (define @t4978 () (tptp.hAPP @t4916 (tptp.hAPP @t4977 @t4974))) % 45.25/45.43 (define @t4979 () (@list @t2919 @t4909 @t99 @t4912 @t49 @t10)) % 45.25/45.43 (define @t4980 () (tptp.c_member @t4677)) % 45.25/45.43 (define @t4981 () (tptp.hAPP (tptp.c_COMBC @t4677 @t4929 tptp.tc_HOL_Obool) @t4980)) % 45.25/45.43 (define @t4982 () (tptp.tc_fun @t4677 @t4677)) % 45.25/45.43 (define @t4983 () (tptp.tc_fun @t4982 @t4929)) % 45.25/45.43 (define @t4984 () (tptp.tc_fun @t10 @t4929)) % 45.25/45.43 (define @t4985 () (tptp.tc_fun @t10 @t4982)) % 45.25/45.43 (define @t4986 () (tptp.tc_fun @t10 @t4939)) % 45.25/45.43 (define @t4987 () (tptp.tc_fun @t10 @t4942)) % 45.25/45.43 (define @t4988 () (tptp.c_Set_OCollect @t4677)) % 45.25/45.43 (define @t4989 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t35) @t34)) % 45.25/45.43 (define @t4990 () (tptp.hAPP (tptp.c_Random_Opick @t35 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t35)) @t34) @t4919)) @t1274)) % 45.25/45.43 (define @t4991 () (tptp.hBOOL (tptp.hAPP @t3155 @t4989))) % 45.25/45.43 (define @t4992 () (tptp.c_Random_Oselect__weight @t10 @t4912)) % 45.25/45.43 (define @t4993 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 45.25/45.43 (define @t4994 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 45.25/45.43 (define @t4995 () (@list @t4912 @t49 @t10)) % 45.25/45.43 (define @t4996 () (tptp.c_List_Olexord @t10 @t2919)) % 45.25/45.43 (define @t4997 () (tptp.hAPP @t4914 @t49)) % 45.25/45.43 (define @t4998 () (tptp.hAPP @t4916 (tptp.hAPP @t4997 @t99))) % 45.25/45.43 (define @t4999 () (tptp.hBOOL (tptp.hAPP @t4998 @t4996))) % 45.25/45.43 (define @t5000 () (tptp.hAPP (tptp.hAPP @t4956 @t171) @t99)) % 45.25/45.43 (define @t5001 () (tptp.hAPP @t4965 @t49)) % 45.25/45.43 (define @t5002 () (tptp.hAPP @t4907 @t99)) % 45.25/45.43 (define @t5003 () (tptp.hAPP @t4907 @t49)) % 45.25/45.43 (define @t5004 () (= @t5003 @t5002)) % 45.25/45.43 (define @t5005 () (tptp.c_List_Olistrel1 @t10 @t2919)) % 45.25/45.43 (define @t5006 () (tptp.c_Transitive__Closure_Ortrancl @t4677 @t5005)) % 45.25/45.43 (define @t5007 () (tptp.hBOOL (tptp.hAPP @t4917 @t5006))) % 45.25/45.43 (define @t5008 () (@list @t4909 @t4912 @t2919 @t99 @t49 @t10)) % 45.25/45.43 (define @t5009 () (tptp.c_Wellfounded_Oacc @t4677 @t5005)) % 45.25/45.43 (define @t5010 () (tptp.hAPP @t4980 @t4976)) % 45.25/45.43 (define @t5011 () (tptp.hAPP @t4980 @t4912)) % 45.25/45.43 (define @t5012 () (tptp.hBOOL (tptp.hAPP @t5011 @t5009))) % 45.25/45.43 (define @t5013 () (tptp.c_Orderings_Oord__class_Oless__eq @t4685)) % 45.25/45.43 (define @t5014 () (tptp.hAPP @t5013 @t5005)) % 45.25/45.43 (define @t5015 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4677 @t4677) @t5005)) % 45.25/45.43 (define @t5016 () (tptp.c_List_Olistrel1 @t10 @t4827)) % 45.25/45.43 (define @t5017 () (tptp.hAPP @t4916 (tptp.hAPP @t4977 (tptp.hAPP @t4975 @t4909)))) % 45.25/45.43 (define @t5018 () (@list @t49 @t2919 @t4909 @t4912 @t10)) % 45.25/45.43 (define @t5019 () (tptp.hBOOL (tptp.hAPP @t4917 @t5005))) % 45.25/45.43 (define @t5020 () (@list @t2919 @t4909 @t4912 @t10)) % 45.25/45.43 (define @t5021 () (= @t4912 @t4909)) % 45.25/45.43 (define @t5022 () (tptp.c_Orderings_Obot__class_Obot @t4929)) % 45.25/45.43 (define @t5023 () (tptp.c_Set_Oinsert @t4677)) % 45.25/45.43 (define @t5024 () (tptp.c_List_Olistrel @t10 @t2919)) % 45.25/45.43 (define @t5025 () (tptp.c_Relation_OImage @t4677 @t4677 @t5024)) % 45.25/45.43 (define @t5026 () (tptp.hAPP @t4914 @t99)) % 45.25/45.43 (define @t5027 () (tptp.c_List_Olistrel @t10 @t4790)) % 45.25/45.43 (define @t5028 () (@list @t2919 @t4912 @t10)) % 45.25/45.43 (define @t5029 () (tptp.hAPP @t5013 @t5024)) % 45.25/45.43 (define @t5030 () (tptp.hBOOL (tptp.hAPP @t4917 @t5024))) % 45.25/45.43 (define @t5031 () (@var "V_zs_2" $$unsorted)) % 45.25/45.43 (define @t5032 () (tptp.hAPP @t4914 @t4909)) % 45.25/45.43 (define @t5033 () (tptp.hBOOL (tptp.hAPP @t4917 @t5027))) % 45.25/45.43 (define @t5034 () (@var "B_xs" $$unsorted)) % 45.25/45.43 (define @t5035 () (tptp.hAPP @t4956 @t3)) % 45.25/45.43 (define @t5036 () (tptp.hAPP @t5035 @t5034)) % 45.25/45.43 (define @t5037 () (tptp.hBOOL (tptp.hAPP @t4642 @t2102))) % 45.25/45.43 (define @t5038 () (tptp.hAPP @t4956 @t2102)) % 45.25/45.43 (define @t5039 () (tptp.hAPP @t4956 @t2103)) % 45.25/45.43 (define @t5040 () (tptp.hBOOL (tptp.hAPP @t4588 @t99))) % 45.25/45.43 (define @t5041 () (@var "B_ys" $$unsorted)) % 45.25/45.43 (define @t5042 () (tptp.hAPP @t4956 @t630)) % 45.25/45.43 (define @t5043 () (tptp.c_List_Olists @t10 @t25)) % 45.25/45.43 (define @t5044 () (tptp.c_Orderings_Otop__class_Otop @t4929)) % 45.25/45.43 (define @t5045 () (tptp.c_List_Olists @t10 @t24)) % 45.25/45.43 (define @t5046 () (tptp.c_Orderings_Oord__class_Oless__eq @t4929)) % 45.25/45.43 (define @t5047 () (tptp.hBOOL (tptp.hAPP @t5011 @t5043))) % 45.25/45.43 (define @t5048 () (tptp.hBOOL (tptp.hAPP @t5011 (tptp.c_List_Olists @t10 @t4256)))) % 45.25/45.43 (define @t5049 () (tptp.c_List_Onth @t10)) % 45.25/45.43 (define @t5050 () (tptp.hAPP @t5049 @t4909)) % 45.25/45.43 (define @t5051 () (tptp.hAPP @t5049 @t4912)) % 45.25/45.43 (define @t5052 () (tptp.hAPP @t5051 @t1593)) % 45.25/45.43 (define @t5053 () (tptp.hAPP @t3753 @t5052)) % 45.25/45.43 (define @t5054 () (tptp.hAPP @t1323 @t1593)) % 45.25/45.43 (define @t5055 () (tptp.hBOOL (tptp.hAPP @t5054 @t4913))) % 45.25/45.43 (define @t5056 () (tptp.hAPP @t3753 @t1038)) % 45.25/45.43 (define @t5057 () (tptp.c_Finite__Set_Ofinite @t4677)) % 45.25/45.43 (define @t5058 () (tptp.hAPP @t5051 @t1966)) % 45.25/45.43 (define @t5059 () (tptp.hBOOL (tptp.hAPP @t3145 @t4913))) % 45.25/45.43 (define @t5060 () (@list @t10 @t4909 @t4912)) % 45.25/45.43 (define @t5061 () (tptp.c_List_Onth @t35)) % 45.25/45.43 (define @t5062 () (tptp.hAPP @t5061 @t4919)) % 45.25/45.43 (define @t5063 () (tptp.hAPP @t5062 @t1254)) % 45.25/45.43 (define @t5064 () (tptp.hAPP @t5061 @t4967)) % 45.25/45.43 (define @t5065 () (tptp.hAPP @t5064 @t1254)) % 45.25/45.43 (define @t5066 () (@list @t4919 @t34 @t35 @t1254)) % 45.25/45.43 (define @t5067 () (tptp.hAPP @t5064 @t2197)) % 45.25/45.43 (define @t5068 () (not @t2510)) % 45.25/45.43 (define @t5069 () (@list @t4919 @t34 @t35 @t1905)) % 45.25/45.43 (define @t5070 () (tptp.c_List_Otake @t10)) % 45.25/45.43 (define @t5071 () (tptp.hAPP @t5070 @t1966)) % 45.25/45.43 (define @t5072 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5073 () (tptp.tc_fun tptp.tc_Nat_Onat @t10)) % 45.25/45.43 (define @t5074 () (tptp.tc_fun tptp.tc_Nat_Onat @t2906)) % 45.25/45.43 (define @t5075 () (tptp.hAPP (tptp.c_COMBC @t10 @t1149 @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5074 @t3962 @t10) @t4445) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 @t5074 @t10) @t4444) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5073 @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 (tptp.tc_fun @t5073 @t1149) @t10) @t5072) tptp.c_fequal)) @t5051))))) % 45.25/45.43 (define @t5076 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5077 () (tptp.hAPP (tptp.c_COMBB @t1149 tptp.tc_HOL_Obool @t10) @t5076)) % 45.25/45.43 (define @t5078 () (tptp.c_List_Oset @t10)) % 45.25/45.43 (define @t5079 () (tptp.hAPP @t5078 @t4950)) % 45.25/45.43 (define @t5080 () (tptp.hAPP @t5078 @t4912)) % 45.25/45.43 (define @t5081 () (@list @t4912 @t10)) % 45.25/45.43 (define @t5082 () (tptp.hAPP @t5078 @t4976)) % 45.25/45.43 (define @t5083 () (tptp.hAPP @t28 @t5080)) % 45.25/45.43 (define @t5084 () (@list @t49 @t4912 @t10)) % 45.25/45.43 (define @t5085 () (tptp.c_List_Otake @t35)) % 45.25/45.43 (define @t5086 () (tptp.hAPP @t5085 @t1254)) % 45.25/45.43 (define @t5087 () (tptp.hAPP @t5086 @t4919)) % 45.25/45.43 (define @t5088 () (tptp.hBOOL (tptp.hAPP @t4962 @t1254))) % 45.25/45.43 (define @t5089 () (@list @t1254 @t4919 @t35)) % 45.25/45.43 (define @t5090 () (tptp.hAPP @t5070 @t445)) % 45.25/45.43 (define @t5091 () (tptp.hAPP @t5090 @t4912)) % 45.25/45.43 (define @t5092 () (tptp.hAPP @t5078 @t5091)) % 45.25/45.43 (define @t5093 () (@list @t4912 @t445 @t10)) % 45.25/45.43 (define @t5094 () (tptp.hAPP @t5062 @t1274)) % 45.25/45.43 (define @t5095 () (tptp.hBOOL (tptp.hAPP @t1324 @t1254))) % 45.25/45.43 (define @t5096 () (tptp.hBOOL (tptp.hAPP @t886 @t5080))) % 45.25/45.43 (define @t5097 () (tptp.hBOOL (tptp.hAPP @t842 @t5080))) % 45.25/45.43 (define @t5098 () (tptp.hBOOL (tptp.hAPP @t842 @t5079))) % 45.25/45.43 (define @t5099 () (@list @t3210 @t4912 @t49 @t10)) % 45.25/45.43 (define @t5100 () (@list @t4912 @t445 @t49 @t10)) % 45.25/45.43 (define @t5101 () (not @t5097)) % 45.25/45.43 (define @t5102 () (tptp.hAPP @t5085 @t1574)) % 45.25/45.43 (define @t5103 () (@list @t4919 @t34 @t1254 @t35)) % 45.25/45.43 (define @t5104 () (tptp.hAPP @t1421 @t4924)) % 45.25/45.43 (define @t5105 () (@list @t4919 @t1254 @t35)) % 45.25/45.43 (define @t5106 () (tptp.hAPP (tptp.hAPP @t5085 @t1255) @t4919)) % 45.25/45.43 (define @t5107 () (@list @t4919 @t1255 @t1254 @t35)) % 45.25/45.43 (define @t5108 () (tptp.hAPP @t479 @t5080)) % 45.25/45.43 (define @t5109 () (tptp.hAPP @t1528 @t5080)) % 45.25/45.43 (define @t5110 () (tptp.hAPP @t58 @t5058)) % 45.25/45.43 (define @t5111 () (tptp.hBOOL @t5110)) % 45.25/45.43 (define @t5112 () (=> @t5059 @t5111)) % 45.25/45.43 (define @t5113 () (forall @t1970 @t5112)) % 45.25/45.43 (define @t5114 () (tptp.hBOOL (tptp.hAPP @t204 @t5080))) % 45.25/45.43 (define @t5115 () (forall @t7 (=> @t5114 @t287))) % 45.25/45.43 (define @t5116 () (@list @t58 @t4912 @t10)) % 45.25/45.43 (define @t5117 () (tptp.c_List_Olist_Olist__size @t10 @t2 @t4912)) % 45.25/45.43 (define @t5118 () (tptp.hAPP @t1323 @t99)) % 45.25/45.43 (define @t5119 () (@list @t2 @t99 @t4912 @t49 @t10)) % 45.25/45.43 (define @t5120 () (@list @t25 @t4912 @t10)) % 45.25/45.43 (define @t5121 () (tptp.hBOOL (tptp.hAPP @t1703 @t4913))) % 45.25/45.43 (define @t5122 () (tptp.hAPP @t5051 @t445)) % 45.25/45.43 (define @t5123 () (tptp.hBOOL (tptp.hAPP @t1469 @t4913))) % 45.25/45.43 (define @t5124 () (tptp.c_COMBB @t27 @t111 @t4677)) % 45.25/45.43 (define @t5125 () (tptp.c_COMBC @t4677 @t27 tptp.tc_HOL_Obool)) % 45.25/45.43 (define @t5126 () (tptp.hAPP @t5125 (tptp.hAPP (tptp.hAPP @t5124 @t28) @t5078))) % 45.25/45.43 (define @t5127 () (tptp.hAPP @t5126 @t25)) % 45.25/45.43 (define @t5128 () (tptp.hAPP @t4953 @t445)) % 45.25/45.43 (define @t5129 () (tptp.hAPP @t4941 (tptp.hAPP @t4938 @t5127))) % 45.25/45.43 (define @t5130 () (@list @t445 @t25 @t10)) % 45.25/45.43 (define @t5131 () (tptp.hAPP (tptp.c_List_Ozip @t10 @t10) @t4912)) % 45.25/45.43 (define @t5132 () (tptp.c_List_Oset @t3739)) % 45.25/45.43 (define @t5133 () (tptp.hBOOL (tptp.hAPP @t4688 (tptp.hAPP @t5132 (tptp.hAPP @t5131 @t4909))))) % 45.25/45.43 (define @t5134 () (tptp.tc_List_Olist @t40)) % 45.25/45.43 (define @t5135 () (tptp.c_Nat_Osize__class_Osize @t5134)) % 45.25/45.43 (define @t5136 () (tptp.hAPP @t5135 @t4909)) % 45.25/45.43 (define @t5137 () (tptp.hAPP (tptp.hAPP @t1421 @t4913) @t5136)) % 45.25/45.43 (define @t5138 () (tptp.c_List_Onth @t40)) % 45.25/45.43 (define @t5139 () (tptp.hAPP @t5138 @t4909)) % 45.25/45.43 (define @t5140 () (tptp.tc_fun tptp.tc_Nat_Onat @t783)) % 45.25/45.43 (define @t5141 () (tptp.c_List_Ozip @t10 @t40)) % 45.25/45.43 (define @t5142 () (tptp.hAPP @t5141 @t4912)) % 45.25/45.43 (define @t5143 () (tptp.hAPP @t5142 @t4909)) % 45.25/45.43 (define @t5144 () (tptp.c_List_Oset @t783)) % 45.25/45.43 (define @t5145 () (tptp.hAPP @t5144 @t5143)) % 45.25/45.43 (define @t5146 () (@list @t4909 @t4912 @t40 @t10)) % 45.25/45.43 (define @t5147 () (tptp.c_List_Ozip @t35 @t10)) % 45.25/45.43 (define @t5148 () (tptp.hAPP @t5147 @t4919)) % 45.25/45.43 (define @t5149 () (tptp.hAPP @t5148 @t4918)) % 45.25/45.43 (define @t5150 () (tptp.tc_prod @t35 @t10)) % 45.25/45.43 (define @t5151 () (@list @t4918 @t4919 @t1254 @t10 @t35)) % 45.25/45.43 (define @t5152 () (tptp.hAPP @t4907 @t4918)) % 45.25/45.43 (define @t5153 () (tptp.hBOOL (tptp.hAPP @t851 @t5080))) % 45.25/45.43 (define @t5154 () (tptp.hAPP @t5131 @t4912)) % 45.25/45.43 (define @t5155 () (tptp.hBOOL (tptp.hAPP @t3417 @t5145))) % 45.25/45.43 (define @t5156 () (@list @t4909 @t4912 @t99 @t49 @t40 @t10)) % 45.25/45.43 (define @t5157 () (tptp.c_List_Oset @t40)) % 45.25/45.43 (define @t5158 () (tptp.hAPP @t5157 @t4909)) % 45.25/45.43 (define @t5159 () (tptp.hBOOL (tptp.hAPP @t1035 @t5158))) % 45.25/45.43 (define @t5160 () (tptp.hBOOL (tptp.hAPP @t1324 @t4924))) % 45.25/45.43 (define @t5161 () (tptp.hAPP (tptp.hAPP @t2219 @t1143) @t2202)) % 45.25/45.43 (define @t5162 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 45.25/45.43 (define @t5163 () (tptp.c_List_Omonoid__add__class_Olistsum @t10)) % 45.25/45.43 (define @t5164 () (tptp.hAPP @t5163 @t4912)) % 45.25/45.43 (define @t5165 () (@var "V_ns_2" $$unsorted)) % 45.25/45.43 (define @t5166 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5167 () (tptp.hAPP @t5166 @t5165)) % 45.25/45.43 (define @t5168 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1191 @t5167)) (= @t3 @t1700)))) % 45.25/45.43 (define @t5169 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5170 () (tptp.c_List_Oupto @t749 @t1143)) % 45.25/45.43 (define @t5171 () (tptp.hAPP @t5162 @t5170)) % 45.25/45.43 (define @t5172 () (@var "V_ns" $$unsorted)) % 45.25/45.43 (define @t5173 () (tptp.hAPP @t5169 @t5172)) % 45.25/45.43 (define @t5174 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5175 () (tptp.hAPP (tptp.hAPP @t5174 @t5172) @t1258)) % 45.25/45.43 (define @t5176 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 45.25/45.43 (define @t5177 () (tptp.c_Nat_Osize__class_Osize @t5176)) % 45.25/45.43 (define @t5178 () (tptp.hBOOL (tptp.hAPP @t1332 (tptp.hAPP @t5177 @t5172)))) % 45.25/45.43 (define @t5179 () (tptp.c_List_Omonoid__add__class_Olistsum @t35)) % 45.25/45.43 (define @t5180 () (tptp.hAPP @t5179 @t4919)) % 45.25/45.43 (define @t5181 () (tptp.c_List_Oupto @t2444 @t1143)) % 45.25/45.43 (define @t5182 () (tptp.hAPP @t5085 @t1872)) % 45.25/45.43 (define @t5183 () (tptp.hAPP @t5182 @t4919)) % 45.25/45.43 (define @t5184 () (@list @t4919 @t35 @t1254)) % 45.25/45.43 (define @t5185 () (tptp.c_List_Olist__update @t35 @t4919)) % 45.25/45.43 (define @t5186 () (tptp.hAPP @t5185 @t1274)) % 45.25/45.43 (define @t5187 () (tptp.hAPP @t5186 @t34)) % 45.25/45.43 (define @t5188 () (@list @t34 @t1274 @t4919 @t35)) % 45.25/45.43 (define @t5189 () (@list @t1274 @t4919 @t35)) % 45.25/45.43 (define @t5190 () (tptp.hAPP @t5062 @t1273)) % 45.25/45.43 (define @t5191 () (tptp.hAPP @t5061 @t5187)) % 45.25/45.43 (define @t5192 () (tptp.hAPP @t5191 @t1273)) % 45.25/45.43 (define @t5193 () (= @t1274 @t1273)) % 45.25/45.43 (define @t5194 () (=> (not @t5193) (= @t5192 @t5190))) % 45.25/45.43 (define @t5195 () (tptp.c_List_Obutlast @t35 @t4919)) % 45.25/45.43 (define @t5196 () (tptp.hAPP @t5185 @t1258)) % 45.25/45.43 (define @t5197 () (tptp.hAPP @t5196 @t34)) % 45.25/45.43 (define @t5198 () (tptp.c_List_Obutlast @t35 @t5197)) % 45.25/45.43 (define @t5199 () (tptp.hAPP @t1091 @t4924)) % 45.25/45.43 (define @t5200 () (tptp.hAPP @t5199 @t1569)) % 45.25/45.43 (define @t5201 () (= @t1258 @t5200)) % 45.25/45.43 (define @t5202 () (not @t5201)) % 45.25/45.43 (define @t5203 () (tptp.hAPP (tptp.c_List_Olist__update @t5150 @t5149) @t1274)) % 45.25/45.43 (define @t5204 () (tptp.hAPP (tptp.c_List_Olist__update @t10 @t4918) @t1274)) % 45.25/45.43 (define @t5205 () (@var "V_xy" $$unsorted)) % 45.25/45.43 (define @t5206 () (@var "V_x_H" $$unsorted)) % 45.25/45.43 (define @t5207 () (@var "V_i_H" $$unsorted)) % 45.25/45.43 (define @t5208 () (tptp.c_List_Olist__update @t35 @t5187)) % 45.25/45.43 (define @t5209 () (tptp.hAPP @t5186 @t66)) % 45.25/45.43 (define @t5210 () (tptp.c_List_Olist__update @t10 @t4912)) % 45.25/45.43 (define @t5211 () (tptp.hAPP (tptp.c_COMBB @t4677 @t4677 tptp.tc_Nat_Onat) @t4975)) % 45.25/45.43 (define @t5212 () (tptp.c_List_Olist__update @t35 @t4967)) % 45.25/45.43 (define @t5213 () (tptp.hAPP @t4959 @t66)) % 45.25/45.43 (define @t5214 () (tptp.hAPP @t5213 @t4919)) % 45.25/45.43 (define @t5215 () (tptp.c_List_Obutlast @t10 @t4912)) % 45.25/45.43 (define @t5216 () (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 @t5215)))) % 45.25/45.43 (define @t5217 () (tptp.hAPP @t5210 @t749)) % 45.25/45.43 (define @t5218 () (tptp.hAPP @t5217 @t49)) % 45.25/45.43 (define @t5219 () (tptp.hAPP @t28 (tptp.hAPP @t5078 @t5218))) % 45.25/45.43 (define @t5220 () (tptp.hAPP @t5051 @t749)) % 45.25/45.43 (define @t5221 () (tptp.hBOOL (tptp.hAPP @t1404 @t4913))) % 45.25/45.43 (define @t5222 () (tptp.hBOOL (tptp.hAPP @t1468 @t4924))) % 45.25/45.43 (define @t5223 () (@list @t4919 @t35)) % 45.25/45.43 (define @t5224 () (tptp.c_List_Odistinct @t10)) % 45.25/45.43 (define @t5225 () (tptp.hAPP @t686 @t5080)) % 45.25/45.43 (define @t5226 () (tptp.hBOOL (tptp.hAPP @t5224 @t4912))) % 45.25/45.43 (define @t5227 () (tptp.c_List_Oupto @t1274 @t1273)) % 45.25/45.43 (define @t5228 () (tptp.hAPP @t5085 @t1274)) % 45.25/45.43 (define @t5229 () (tptp.hAPP @t5228 @t4919)) % 45.25/45.43 (define @t5230 () (tptp.c_List_Odistinct @t35)) % 45.25/45.43 (define @t5231 () (tptp.hBOOL (tptp.hAPP @t5230 @t4919))) % 45.25/45.43 (define @t5232 () (tptp.c_List_Odistinct @t5150)) % 45.25/45.43 (define @t5233 () (@list @t4918 @t10 @t4919 @t35)) % 45.25/45.43 (define @t5234 () (and @t5101 @t5226)) % 45.25/45.43 (define @t5235 () (= @t5109 @t4913)) % 45.25/45.43 (define @t5236 () (tptp.hAPP @t5051 @t1848)) % 45.25/45.43 (define @t5237 () (tptp.hBOOL (tptp.hAPP @t1849 @t4913))) % 45.25/45.43 (define @t5238 () (tptp.hAPP @t5051 @t1143)) % 45.25/45.43 (define @t5239 () (tptp.hAPP @t1323 @t1143)) % 45.25/45.43 (define @t5240 () (@list @t1143 @t749 @t4912 @t10)) % 45.25/45.43 (define @t5241 () (tptp.c_Nitpick_Ocard_H @t10 @t25)) % 45.25/45.43 (define @t5242 () (tptp.c_Hilbert__Choice_OEps @t4677 (tptp.hAPP (tptp.hAPP @t4941 (tptp.hAPP @t4938 (tptp.hAPP (tptp.hAPP @t5125 (tptp.hAPP (tptp.hAPP @t5124 tptp.c_fequal) @t5078)) @t25))) @t5224))) % 45.25/45.43 (define @t5243 () (tptp.hAPP @t5085 @t1258)) % 45.25/45.43 (define @t5244 () (tptp.hAPP @t5061 @t4918)) % 45.25/45.43 (define @t5245 () (tptp.hAPP @t5062 @t1966)) % 45.25/45.43 (define @t5246 () (tptp.hAPP @t5225 @t532)) % 45.25/45.43 (define @t5247 () (tptp.c_List_Oremove1 @t10 @t49 @t4912)) % 45.25/45.43 (define @t5248 () (tptp.hAPP @t5078 @t5247)) % 45.25/45.43 (define @t5249 () (tptp.hAPP (tptp.hAPP @t5085 @t2197) @t4967)) % 45.25/45.43 (define @t5250 () (tptp.c_List_Olist_ONil @t35)) % 45.25/45.43 (define @t5251 () (tptp.c_List_Olist_ONil @t10)) % 45.25/45.43 (define @t5252 () (= @t4912 @t5251)) % 45.25/45.43 (define @t5253 () (tptp.hAPP @t4914 @t5251)) % 45.25/45.43 (define @t5254 () (tptp.hAPP @t4916 (tptp.hAPP @t5253 @t4912))) % 45.25/45.43 (define @t5255 () (tptp.hAPP @t4916 (tptp.hAPP @t4915 @t5251))) % 45.25/45.43 (define @t5256 () (= @t4919 @t5250)) % 45.25/45.43 (define @t5257 () (not @t5256)) % 45.25/45.43 (define @t5258 () (@list @t35 @t4919)) % 45.25/45.43 (define @t5259 () (tptp.c_List_Oremove1 @t35 @t34 @t4919)) % 45.25/45.43 (define @t5260 () (@list @t34 @t4919 @t35)) % 45.25/45.43 (define @t5261 () (tptp.c_List_Obutlast @t35 @t4967)) % 45.25/45.43 (define @t5262 () (tptp.c_List_Oremove1 @t35 @t34 @t5214)) % 45.25/45.43 (define @t5263 () (@list @t4919 @t35 @t66 @t34)) % 45.25/45.43 (define @t5264 () (@var "V_list_H" $$unsorted)) % 45.25/45.43 (define @t5265 () (tptp.hAPP (tptp.hAPP @t4959 @t2608) @t5264)) % 45.25/45.43 (define @t5266 () (@list @t5264 @t2608 @t35)) % 45.25/45.43 (define @t5267 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 45.25/45.43 (define @t5268 () (= @t5227 @t5267)) % 45.25/45.43 (define @t5269 () (@var "V_zs" $$unsorted)) % 45.25/45.43 (define @t5270 () (@list @t5269 @t66 @t34 @t35)) % 45.25/45.43 (define @t5271 () (tptp.c_List_Olist_ONil @t5150)) % 45.25/45.43 (define @t5272 () (@list @t3166 @t10)) % 45.25/45.43 (define @t5273 () (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5250) @t1274)) % 45.25/45.43 (define @t5274 () (@list @t99 @t4912 @t49 @t10)) % 45.25/45.43 (define @t5275 () (not @t5252)) % 45.25/45.43 (define @t5276 () (tptp.hAPP @t4960 @t5250)) % 45.25/45.43 (define @t5277 () (tptp.hAPP @t5253 @t5251)) % 45.25/45.43 (define @t5278 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4677 @t4677)) % 45.25/45.43 (define @t5279 () (@list @t4912 @t49 @t445 @t10)) % 45.25/45.43 (define @t5280 () (tptp.hAPP @t2373 @t2202)) % 45.25/45.43 (define @t5281 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 45.25/45.43 (define @t5282 () (tptp.hAPP @t4975 @t5251)) % 45.25/45.43 (define @t5283 () (tptp.c_List_Osublist @t10 @t5282 @t25)) % 45.25/45.43 (define @t5284 () (tptp.hAPP @t4453 @t25)) % 45.25/45.43 (define @t5285 () (tptp.hBOOL @t5284)) % 45.25/45.43 (define @t5286 () (tptp.hAPP (tptp.hAPP @t5023 @t5251) @t5022)) % 45.25/45.43 (define @t5287 () (tptp.hAPP @t5086 @t4967)) % 45.25/45.43 (define @t5288 () (tptp.hAPP @t2334 @t1255)) % 45.25/45.43 (define @t5289 () (tptp.c_List_Oupto @t5288 @t2907)) % 45.25/45.43 (define @t5290 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t5288) @t2907))) % 45.25/45.43 (define @t5291 () (tptp.c_COMBC @t10 @t4677 @t4677)) % 45.25/45.43 (define @t5292 () (tptp.hAPP @t5291 @t4956)) % 45.25/45.43 (define @t5293 () (tptp.hAPP @t5292 @t5251)) % 45.25/45.43 (define @t5294 () (tptp.hAPP @t4907 @t5247)) % 45.25/45.43 (define @t5295 () (tptp.hBOOL (tptp.hAPP @t2586 @t1143))) % 45.25/45.43 (define @t5296 () (tptp.c_Wellfounded_Oaccp @t3615 tptp.c_List_Oupto__rel)) % 45.25/45.43 (define @t5297 () (tptp.c_Random_Oselect @t10 @t4912)) % 45.25/45.43 (define @t5298 () (tptp.c_Product__Type_Ofst @t10 @t3997)) % 45.25/45.43 (define @t5299 () (tptp.c_List_Olist_OCons @t783)) % 45.25/45.43 (define @t5300 () (tptp.tc_List_Olist @t783)) % 45.25/45.43 (define @t5301 () (tptp.tc_fun @t5300 @t5300)) % 45.25/45.43 (define @t5302 () (tptp.tc_fun @t5134 @t5300)) % 45.25/45.43 (define @t5303 () (tptp.c_List_Olist_ONil @t783)) % 45.25/45.43 (define @t5304 () (@list @t4909 @t4912 @t49 @t40 @t10)) % 45.25/45.43 (define @t5305 () (tptp.hAPP @t3136 @t153)) % 45.25/45.43 (define @t5306 () (tptp.c_List_Olist_OCons @t40)) % 45.25/45.43 (define @t5307 () (tptp.c_List_Olist_Olist__case @t10 @t40 @t3138 @t3136)) % 45.25/45.43 (define @t5308 () (tptp.c_List_Olist_ONil @t40)) % 45.25/45.43 (define @t5309 () (@list @t3136 @t3138 @t40 @t10)) % 45.25/45.43 (define @t5310 () (@var "V_As_2" $$unsorted)) % 45.25/45.43 (define @t5311 () (tptp.tc_fun @t4677 @t5300)) % 45.25/45.43 (define @t5312 () (tptp.hAPP @t5306 @t99)) % 45.25/45.43 (define @t5313 () (tptp.hAPP @t5312 @t4909)) % 45.25/45.43 (define @t5314 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t25)) % 45.25/45.43 (define @t5315 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t705)) % 45.25/45.43 (define @t5316 () (tptp.hAPP (tptp.hAPP @t2227 @t1966) @t2202)) % 45.25/45.43 (define @t5317 () (tptp.c_Lazy__Sequence_Oanamorph @t40 @t10 @t2)) % 45.25/45.43 (define @t5318 () (tptp.c_Product__Type_OPair @t4677 @t40)) % 45.25/45.43 (define @t5319 () (tptp.tc_prod @t4677 @t40)) % 45.25/45.43 (define @t5320 () (tptp.tc_fun @t40 @t5319)) % 45.25/45.43 (define @t5321 () (tptp.tc_fun @t4677 @t5320)) % 45.25/45.43 (define @t5322 () (tptp.tc_fun @t5319 @t5319)) % 45.25/45.43 (define @t5323 () (tptp.hAPP (tptp.hAPP @t5318 @t5251) @t49)) % 45.25/45.43 (define @t5324 () (tptp.hAPP (tptp.hAPP @t5317 @t160) @t49)) % 45.25/45.43 (define @t5325 () (tptp.c_List_Oappend @t10)) % 45.25/45.43 (define @t5326 () (tptp.hAPP @t4975 @t159)) % 45.25/45.43 (define @t5327 () (tptp.hAPP @t4973 @t5251)) % 45.25/45.43 (define @t5328 () (tptp.hAPP @t5325 @t4909)) % 45.25/45.43 (define @t5329 () (tptp.hAPP @t5328 @t5327)) % 45.25/45.43 (define @t5330 () (tptp.hAPP @t5325 @t4912)) % 45.25/45.43 (define @t5331 () (tptp.hAPP @t5330 @t5282)) % 45.25/45.43 (define @t5332 () (@var "B_ys_H" $$unsorted)) % 45.25/45.43 (define @t5333 () (tptp.hAPP (tptp.hAPP @t5325 @t5332) @t5031)) % 45.25/45.43 (define @t5334 () (tptp.hAPP @t4975 @t5332)) % 45.25/45.43 (define @t5335 () (@list @t5332)) % 45.25/45.43 (define @t5336 () (= @t4909 @t5251)) % 45.25/45.43 (define @t5337 () (tptp.hAPP @t5328 @t5031)) % 45.25/45.43 (define @t5338 () (tptp.c_List_Oappend @t35)) % 45.25/45.43 (define @t5339 () (tptp.hAPP (tptp.hAPP @t5338 @t4918) @t5269)) % 45.25/45.43 (define @t5340 () (@var "V_xs1" $$unsorted)) % 45.25/45.43 (define @t5341 () (tptp.hAPP @t5338 @t5340)) % 45.25/45.43 (define @t5342 () (tptp.hAPP @t5338 @t4919)) % 45.25/45.43 (define @t5343 () (tptp.hAPP @t5342 @t4918)) % 45.25/45.43 (define @t5344 () (@list @t4918 @t4919 @t34 @t35)) % 45.25/45.43 (define @t5345 () (tptp.hAPP @t4980 @t4909)) % 45.25/45.43 (define @t5346 () (tptp.hAPP @t5330 @t4909)) % 45.25/45.43 (define @t5347 () (@var "B_us" $$unsorted)) % 45.25/45.43 (define @t5348 () (tptp.hAPP @t5325 @t5347)) % 45.25/45.43 (define @t5349 () (tptp.hAPP @t5325 @t5031)) % 45.25/45.43 (define @t5350 () (= @t4909 @t5031)) % 45.25/45.43 (define @t5351 () (@list @t5031 @t4909 @t4912 @t10)) % 45.25/45.43 (define @t5352 () (@var "V_us" $$unsorted)) % 45.25/45.43 (define @t5353 () (tptp.hAPP @t1144 @t4924)) % 45.25/45.43 (define @t5354 () (tptp.hAPP @t5353 @t4923)) % 45.25/45.43 (define @t5355 () (@var "V_vs" $$unsorted)) % 45.25/45.43 (define @t5356 () (tptp.hAPP @t5147 @t4918)) % 45.25/45.43 (define @t5357 () (tptp.c_List_Oappend @t5150)) % 45.25/45.43 (define @t5358 () (tptp.hAPP @t5147 @t5343)) % 45.25/45.43 (define @t5359 () (tptp.hAPP @t5078 @t4909)) % 45.25/45.43 (define @t5360 () (tptp.hAPP (tptp.hAPP @t239 @t5080) @t5359)) % 45.25/45.43 (define @t5361 () (@list @t4909 @t4912 @t10)) % 45.25/45.43 (define @t5362 () (tptp.hAPP (tptp.hAPP @t5338 @t5250) @t4918)) % 45.25/45.43 (define @t5363 () (and @t5252 @t5336)) % 45.25/45.43 (define @t5364 () (@list @t4918 @t35)) % 45.25/45.43 (define @t5365 () (tptp.c_List_Obutlast @t35 @t5343)) % 45.25/45.43 (define @t5366 () (= @t4918 @t5250)) % 45.25/45.43 (define @t5367 () (not @t5366)) % 45.25/45.43 (define @t5368 () (@list @t4919 @t35 @t4918)) % 45.25/45.43 (define @t5369 () (tptp.hAPP @t5342 @t4961)) % 45.25/45.43 (define @t5370 () (tptp.hAPP @t5061 @t5343)) % 45.25/45.43 (define @t5371 () (tptp.hAPP @t1259 @t4924)) % 45.25/45.43 (define @t5372 () (tptp.hAPP @t5338 @t5087)) % 45.25/45.43 (define @t5373 () (@list @t4918 @t4919 @t1254 @t35)) % 45.25/45.43 (define @t5374 () (tptp.c_List_Olist__update @t35 @t5343)) % 45.25/45.43 (define @t5375 () (tptp.hAPP @t5213 @t4918)) % 45.25/45.43 (define @t5376 () (tptp.c_List_Oremove1 @t10 @t49 @t5346)) % 45.25/45.43 (define @t5377 () (@list @t4909 @t4912 @t49 @t10)) % 45.25/45.43 (define @t5378 () (tptp.c_List_Obutlast @t10 @t4909)) % 45.25/45.43 (define @t5379 () (tptp.hAPP @t5342 @t5276)) % 45.25/45.43 (define @t5380 () (@var "V_vs_2" $$unsorted)) % 45.25/45.43 (define @t5381 () (@var "V_us_2" $$unsorted)) % 45.25/45.43 (define @t5382 () (tptp.hAPP @t5330 @t5381)) % 45.25/45.43 (define @t5383 () (tptp.hAPP @t5325 @t49)) % 45.25/45.43 (define @t5384 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 (tptp.hAPP @t5383 @t236)) (tptp.hAPP @t5383 @t2107))) @t4996))) % 45.25/45.43 (define @t5385 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t236) @t2107)) @t4996))) % 45.25/45.43 (define @t5386 () (tptp.hBOOL (tptp.hAPP @t5224 @t4909))) % 45.25/45.43 (define @t5387 () (tptp.hAPP @t5370 @t1254)) % 45.25/45.43 (define @t5388 () (not @t5222)) % 45.25/45.43 (define @t5389 () (tptp.hAPP (tptp.hAPP @t5374 @t1254) @t34)) % 45.25/45.43 (define @t5390 () (@var "V_l_H_2" $$unsorted)) % 45.25/45.43 (define @t5391 () (tptp.hAPP @t5325 @t5381)) % 45.25/45.43 (define @t5392 () (tptp.hAPP @t5325 @t236)) % 45.25/45.43 (define @t5393 () (tptp.hAPP @t4959 @t5094)) % 45.25/45.43 (define @t5394 () (tptp.hAPP @t5338 @t5229)) % 45.25/45.43 (define @t5395 () (@list @t4919 @t35 @t1274)) % 45.25/45.43 (define @t5396 () (@var "B_vs" $$unsorted)) % 45.25/45.43 (define @t5397 () (@list @t5347 @t5396)) % 45.25/45.43 (define @t5398 () (tptp.hAPP (tptp.c_COMBC @t4677 @t4677 @t4677) @t5325)) % 45.25/45.43 (define @t5399 () (tptp.c_COMBB @t4677 @t4982 @t10)) % 45.25/45.43 (define @t5400 () (tptp.c_List_Orotate1 @t10)) % 45.25/45.43 (define @t5401 () (tptp.hAPP @t5400 @t4912)) % 45.25/45.43 (define @t5402 () (tptp.c_List_Odrop @t35)) % 45.25/45.43 (define @t5403 () (tptp.hAPP (tptp.hAPP @t5402 @t1612) @t4919)) % 45.25/45.43 (define @t5404 () (tptp.hAPP @t5402 @t1254)) % 45.25/45.43 (define @t5405 () (tptp.hAPP @t5404 @t4919)) % 45.25/45.43 (define @t5406 () (tptp.hAPP @t5402 @t1574)) % 45.25/45.43 (define @t5407 () (tptp.hAPP @t5402 @t1274)) % 45.25/45.43 (define @t5408 () (tptp.hAPP @t5407 @t4919)) % 45.25/45.43 (define @t5409 () (tptp.c_List_Obutlast @t35 @t5405)) % 45.25/45.43 (define @t5410 () (tptp.hAPP @t5404 @t5195)) % 45.25/45.43 (define @t5411 () (tptp.hAPP @t5402 @t1255)) % 45.25/45.43 (define @t5412 () (tptp.hAPP @t5411 @t4919)) % 45.25/45.44 (define @t5413 () (tptp.c_List_Odrop @t10)) % 45.25/45.44 (define @t5414 () (tptp.c_List_Orotate1 @t35)) % 45.25/45.44 (define @t5415 () (tptp.hAPP @t5414 @t4919)) % 45.25/45.44 (define @t5416 () (tptp.hAPP @t5413 @t445)) % 45.25/45.44 (define @t5417 () (tptp.hAPP @t5416 @t4912)) % 45.25/45.44 (define @t5418 () (tptp.hAPP @t5078 @t5417)) % 45.25/45.44 (define @t5419 () (tptp.hAPP @t5404 @t4967)) % 45.25/45.44 (define @t5420 () (tptp.hAPP @t1311 @t1274)) % 45.25/45.44 (define @t5421 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 45.25/45.44 (define @t5422 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 45.25/45.44 (define @t5423 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 45.25/45.44 (define @t5424 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 45.25/45.44 (define @t5425 () (tptp.hAPP @t4907 @t5424)) % 45.25/45.44 (define @t5426 () (tptp.hAPP @t4907 @t5423)) % 45.25/45.44 (define @t5427 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5426) @t5425))) % 45.25/45.44 (define @t5428 () (tptp.hAPP @t5393 @t5403)) % 45.25/45.44 (define @t5429 () (tptp.hAPP @t4956 @t34)) % 45.25/45.44 (define @t5430 () (tptp.hAPP (tptp.hAPP @t5402 @t2197) @t4967)) % 45.25/45.44 (define @t5431 () (tptp.hBOOL (tptp.hAPP @t4962 @t1569))) % 45.25/45.44 (define @t5432 () (@list @t5269 @t4918 @t4919 @t10 @t35)) % 45.25/45.44 (define @t5433 () (tptp.hAPP @t5102 @t4919)) % 45.25/45.44 (define @t5434 () (tptp.c_List_Ohd @t35)) % 45.25/45.44 (define @t5435 () (tptp.hAPP @t5434 @t5405)) % 45.25/45.44 (define @t5436 () (@list @t1254 @t35 @t4919)) % 45.25/45.44 (define @t5437 () (tptp.hAPP @t5434 @t4919)) % 45.25/45.44 (define @t5438 () (tptp.hAPP @t5434 @t5343)) % 45.25/45.44 (define @t5439 () (=> @t5257 (= @t5438 @t5437))) % 45.25/45.44 (define @t5440 () (@list @t4918 @t35 @t4919)) % 45.25/45.44 (define @t5441 () (tptp.c_List_Ohd @t10)) % 45.25/45.44 (define @t5442 () (tptp.hAPP @t5441 @t4912)) % 45.25/45.44 (define @t5443 () (@list @t10 @t4912)) % 45.25/45.44 (define @t5444 () (tptp.hAPP @t4959 @t5437)) % 45.25/45.44 (define @t5445 () (tptp.c_List_Otl @t35)) % 45.25/45.44 (define @t5446 () (tptp.hAPP @t5445 @t4919)) % 45.25/45.44 (define @t5447 () (tptp.hAPP @t5338 @t5446)) % 45.25/45.44 (define @t5448 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1254 @t4924)) % 45.25/45.44 (define @t5449 () (tptp.c_List_Orotate @t35 @t1254)) % 45.25/45.44 (define @t5450 () (tptp.hAPP @t5449 @t4919)) % 45.25/45.44 (define @t5451 () (tptp.hAPP @t5404 @t5446)) % 45.25/45.44 (define @t5452 () (tptp.hAPP @t5445 @t5405)) % 45.25/45.44 (define @t5453 () (tptp.c_List_Orotate @t10 @t445)) % 45.25/45.44 (define @t5454 () (tptp.hAPP @t5453 @t4912)) % 45.25/45.44 (define @t5455 () (tptp.c_Fun_Oid @t4677)) % 45.25/45.44 (define @t5456 () (tptp.hAPP @t5414 @t5450)) % 45.25/45.44 (define @t5457 () (tptp.hAPP @t5086 @t5446)) % 45.25/45.44 (define @t5458 () (tptp.c_List_Otl @t10)) % 45.25/45.44 (define @t5459 () (= @t5450 @t4919)) % 45.25/45.44 (define @t5460 () (tptp.c_List_Ofoldl @t10 @t40 @t2 @t153)) % 45.25/45.44 (define @t5461 () (@list @t5031 @t99 @t49 @t10)) % 45.25/45.44 (define @t5462 () (tptp.c_List_Ofoldl @t10 @t10 @t1130 @t1704)) % 45.25/45.44 (define @t5463 () (tptp.class_Groups_Omonoid__add @t10)) % 45.25/45.44 (define @t5464 () (tptp.hAPP @t5306 @t49)) % 45.25/45.44 (define @t5465 () (tptp.hAPP @t5464 @t4912)) % 45.25/45.44 (define @t5466 () (tptp.hAPP @t5460 @t4912)) % 45.25/45.44 (define @t5467 () (tptp.c_List_Oappend @t40)) % 45.25/45.44 (define @t5468 () (tptp.hAPP (tptp.hAPP @t5467 @t4912) @t4909)) % 45.25/45.44 (define @t5469 () (tptp.c_List_Ofoldl @t40 @t10 (tptp.hAPP @t3555 @t2) @t99)) % 45.25/45.44 (define @t5470 () (tptp.hAPP (tptp.hAPP @t1515 @t99) @t5080)) % 45.25/45.44 (define @t5471 () (@list @t4912 @t99 @t2 @t40 @t10)) % 45.25/45.44 (define @t5472 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t627 @t49) @t4912)) % 45.25/45.44 (define @t5473 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t551 @t49) @t4912)) % 45.25/45.44 (define @t5474 () (tptp.hAPP @t5157 @t4912)) % 45.25/45.44 (define @t5475 () (@list @t2 @t4912 @t40 @t10)) % 45.25/45.44 (define @t5476 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t10 @t3442)) % 45.25/45.44 (define @t5477 () (tptp.hAPP @t5476 @t49)) % 45.25/45.44 (define @t5478 () (tptp.hAPP @t4956 @t1038)) % 45.25/45.44 (define @t5479 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t40 @t2)) % 45.25/45.44 (define @t5480 () (tptp.hAPP @t5479 @t49)) % 45.25/45.44 (define @t5481 () (tptp.c_List_Olinorder__class_Oinsort__key @t40 @t10 @t2)) % 45.25/45.44 (define @t5482 () (tptp.hAPP @t5481 @t49)) % 45.25/45.44 (define @t5483 () (tptp.hAPP @t5482 @t5313)) % 45.25/45.44 (define @t5484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t51) @t113))) % 45.25/45.44 (define @t5485 () (tptp.hAPP @t5480 @t4912)) % 45.25/45.44 (define @t5486 () (@list @t4912 @t49 @t2 @t10 @t40)) % 45.25/45.44 (define @t5487 () (tptp.hAPP tptp.c_Nat_OSuc @t4913)) % 45.25/45.44 (define @t5488 () (tptp.hAPP @t5477 @t4912)) % 45.25/45.44 (define @t5489 () (tptp.hAPP @t5476 @t99)) % 45.25/45.44 (define @t5490 () (tptp.hAPP @t5481 @t99)) % 45.25/45.44 (define @t5491 () (tptp.hAPP @t5482 @t4912)) % 45.25/45.44 (define @t5492 () (tptp.hAPP @t5479 @t153)) % 45.25/45.44 (define @t5493 () (tptp.hAPP @t5492 @t4912)) % 45.25/45.44 (define @t5494 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t40 @t10 @t2 @t49 @t4912)) % 45.25/45.44 (define @t5495 () (tptp.hAPP @t568 @t5474)) % 45.25/45.44 (define @t5496 () (tptp.hBOOL (tptp.hAPP @t928 @t5495))) % 45.25/45.44 (define @t5497 () (@list @t4912 @t40 @t49 @t2 @t10)) % 45.25/45.44 (define @t5498 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t10 @t3442 @t49 @t4912)) % 45.25/45.44 (define @t5499 () (tptp.c_List_Olast @t35 @t4919)) % 45.25/45.44 (define @t5500 () (tptp.c_List_Olast @t35 @t5197)) % 45.25/45.44 (define @t5501 () (tptp.c_List_Olast @t35 @t4967)) % 45.25/45.44 (define @t5502 () (=> @t5256 (= @t5501 @t34))) % 45.25/45.44 (define @t5503 () (=> @t5257 (= @t5501 @t5499))) % 45.25/45.44 (define @t5504 () (tptp.c_List_Olast @t35 @t5343)) % 45.25/45.44 (define @t5505 () (=> @t5366 (= @t5504 @t5499))) % 45.25/45.44 (define @t5506 () (=> @t5367 (= @t5504 (tptp.c_List_Olast @t35 @t4918)))) % 45.25/45.44 (define @t5507 () (@var "V_as_2" $$unsorted)) % 45.25/45.44 (define @t5508 () (@var "B_l" $$unsorted)) % 45.25/45.44 (define @t5509 () (= @t153 @t5251)) % 45.25/45.44 (define @t5510 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t4994) (tptp.hAPP @t4993 @t3068)) @t4912)) % 45.25/45.44 (define @t5511 () (tptp.c_List_Omap @t10 @t40)) % 45.25/45.44 (define @t5512 () (tptp.hAPP @t5511 @t2)) % 45.25/45.44 (define @t5513 () (tptp.c_Fun_Oinj__on @t4677 @t5134 @t5512 @t5044)) % 45.25/45.44 (define @t5514 () (tptp.c_List_Olast @t10 @t4912)) % 45.25/45.44 (define @t5515 () (tptp.hAPP @t5512 @t4912)) % 45.25/45.44 (define @t5516 () (@list @t2 @t40 @t10 @t4912)) % 45.25/45.44 (define @t5517 () (tptp.c_List_Omap @t1118 @t40)) % 45.25/45.44 (define @t5518 () (tptp.hAPP @t5517 @t2)) % 45.25/45.44 (define @t5519 () (tptp.hAPP @t5518 @t4912)) % 45.25/45.44 (define @t5520 () (tptp.c_List_Omap @t40 @t10)) % 45.25/45.44 (define @t5521 () (tptp.hAPP @t5520 @t2)) % 45.25/45.44 (define @t5522 () (tptp.hAPP @t5521 @t4912)) % 45.25/45.44 (define @t5523 () (@list @t4912 @t2 @t10 @t40)) % 45.25/45.44 (define @t5524 () (@list @t4912 @t2 @t40 @t445 @t10)) % 45.25/45.44 (define @t5525 () (tptp.tc_fun @t3354 @t783)) % 45.25/45.44 (define @t5526 () (tptp.hAPP (tptp.c_List_Omap @t3354 @t40) @t1)) % 45.25/45.44 (define @t5527 () (tptp.c_List_Omap @t1118 @t10)) % 45.25/45.44 (define @t5528 () (tptp.hAPP @t5527 @t2)) % 45.25/45.44 (define @t5529 () (tptp.hAPP @t5141 (tptp.hAPP @t5528 @t4912))) % 45.25/45.44 (define @t5530 () (tptp.c_List_Ozip @t40 @t1118)) % 45.25/45.44 (define @t5531 () (tptp.hAPP (tptp.c_List_Omap @t3243 @t10) @t2)) % 45.25/45.44 (define @t5532 () (tptp.tc_fun @t3354 @t3243)) % 45.25/45.44 (define @t5533 () (tptp.tc_fun @t3354 @t1118)) % 45.25/45.44 (define @t5534 () (tptp.tc_fun @t1118 @t783)) % 45.25/45.44 (define @t5535 () (= @t4912 @t5308)) % 45.25/45.44 (define @t5536 () (@list @t4912 @t2 @t40 @t10)) % 45.25/45.44 (define @t5537 () (tptp.hAPP (tptp.hAPP @t5520 @t1) @t4912)) % 45.25/45.44 (define @t5538 () (tptp.tc_List_Olist @t1118)) % 45.25/45.44 (define @t5539 () (tptp.hAPP @t5135 @t4912)) % 45.25/45.44 (define @t5540 () (tptp.hAPP @t5163 @t5537)) % 45.25/45.44 (define @t5541 () (tptp.hAPP @t5163 @t5522)) % 45.25/45.44 (define @t5542 () (@list @t4912 @t1 @t2 @t40 @t10)) % 45.25/45.44 (define @t5543 () (tptp.hAPP @t5512 @t4909)) % 45.25/45.44 (define @t5544 () (= (= @t5515 @t5543) @t5021)) % 45.25/45.44 (define @t5545 () (@list @t4909 @t4912 @t2 @t40 @t10)) % 45.25/45.44 (define @t5546 () (tptp.hAPP @t5521 @t4909)) % 45.25/45.44 (define @t5547 () (= @t5522 @t5546)) % 45.25/45.44 (define @t5548 () (@list @t4909 @t4912 @t2 @t10 @t40)) % 45.25/45.44 (define @t5549 () (tptp.c_List_Omap @t10 @t10)) % 45.25/45.44 (define @t5550 () (tptp.hAPP @t5549 @t3442)) % 45.25/45.44 (define @t5551 () (tptp.c_List_Otake @t40)) % 45.25/45.44 (define @t5552 () (tptp.hAPP @t5551 @t445)) % 45.25/45.44 (define @t5553 () (tptp.hAPP (tptp.c_List_Odrop @t40) @t445)) % 45.25/45.44 (define @t5554 () (tptp.hAPP @t5527 @t3355)) % 45.25/45.44 (define @t5555 () (tptp.hAPP @t5517 @t1)) % 45.25/45.44 (define @t5556 () (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t5360)) % 45.25/45.44 (define @t5557 () (tptp.c_List_Odistinct @t40)) % 45.25/45.44 (define @t5558 () (tptp.c_Set_Oimage @t4677 @t27 @t5078)) % 45.25/45.44 (define @t5559 () (tptp.c_List_Omonoid__add__class_Olistsum @t40)) % 45.25/45.44 (define @t5560 () (tptp.hAPP @t5559 @t5515)) % 45.25/45.44 (define @t5561 () (tptp.c_Nitpick_Osetsum_H @t10 @t40 @t2 @t25)) % 45.25/45.44 (define @t5562 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1700)) % 45.25/45.44 (define @t5563 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t402)) % 45.25/45.44 (define @t5564 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t445)) % 45.25/45.44 (define @t5565 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1255)) % 45.25/45.44 (define @t5566 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1254)) % 45.25/45.44 (define @t5567 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.44 (define @t5568 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t99)) % 45.25/45.44 (define @t5569 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1190 @t99) @t1349))) % 45.25/45.44 (define @t5570 () (tptp.hAPP (tptp.c_List_Omap @t783 @t10) @t3973)) % 45.25/45.44 (define @t5571 () (= @t4913 @t5136)) % 45.25/45.44 (define @t5572 () (@list @t4909 @t40 @t4912 @t10)) % 45.25/45.44 (define @t5573 () (tptp.hAPP (tptp.c_List_Omap @t783 @t40) @t3972)) % 45.25/45.44 (define @t5574 () (tptp.hAPP @t5573 @t5031)) % 45.25/45.44 (define @t5575 () (tptp.hAPP @t5570 @t5031)) % 45.25/45.44 (define @t5576 () (tptp.hAPP @t5078 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4994 @t10) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4912))) % 45.25/45.44 (define @t5577 () (tptp.c_Random_Opick @t10 @t4912)) % 45.25/45.44 (define @t5578 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4994 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4912))) % 45.25/45.44 (define @t5579 () (@list @t4912 @t10 @t749)) % 45.25/45.44 (define @t5580 () (@list @t4912 @t2 @t10)) % 45.25/45.44 (define @t5581 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t10) @t2)) % 45.25/45.44 (define @t5582 () (tptp.c_List_Oupto @t160 @t159)) % 45.25/45.44 (define @t5583 () (@list @t3957 @t4912 @t10)) % 45.25/45.44 (define @t5584 () (tptp.tc_prod @t10 @t3997)) % 45.25/45.44 (define @t5585 () (tptp.hAPP (tptp.c_COMBB @t10 (tptp.tc_fun @t3997 @t5584) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t10 @t3997))) % 45.25/45.44 (define @t5586 () (tptp.c_Product__Type_Oscomp @t3997 tptp.tc_Code__Numeral_Ocode__numeral @t3997 @t5584)) % 45.25/45.44 (define @t5587 () (tptp.class_Groups_Omonoid__add @t40)) % 45.25/45.44 (define @t5588 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1258)) % 45.25/45.44 (define @t5589 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1255)) % 45.25/45.44 (define @t5590 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1254)) % 45.25/45.44 (define @t5591 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t49)) % 45.25/45.44 (define @t5592 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t402)) % 45.25/45.44 (define @t5593 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t445)) % 45.25/45.44 (define @t5594 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1274)) % 45.25/45.44 (define @t5595 () (@var "V_xq_2" $$unsorted)) % 45.25/45.44 (define @t5596 () (@var "V_no_2" $$unsorted)) % 45.25/45.44 (define @t5597 () (tptp.hAPP @t5078 @t5596)) % 45.25/45.44 (define @t5598 () (@var "V_yes_2" $$unsorted)) % 45.25/45.44 (define @t5599 () (tptp.hAPP @t5078 @t5598)) % 45.25/45.44 (define @t5600 () (tptp.c_List_Opartition @t10 @t58 @t4912)) % 45.25/45.44 (define @t5601 () (= @t5600 (tptp.hAPP (tptp.hAPP @t4914 @t5598) @t5596))) % 45.25/45.44 (define @t5602 () (@list @t5596 @t5598 @t4912 @t58 @t10)) % 45.25/45.44 (define @t5603 () (tptp.tc_fun @t4684 @t4684)) % 45.25/45.44 (define @t5604 () (tptp.tc_fun @t4677 @t5603)) % 45.25/45.44 (define @t5605 () (@list @t4912 @t49 @t58 @t10)) % 45.25/45.44 (define @t5606 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4929)) % 45.25/45.44 (define @t5607 () (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t246 @t3594) @t3595))) % 45.25/45.44 (define @t5608 () (tptp.hAPP @t4980 @t159)) % 45.25/45.44 (define @t5609 () (tptp.c_List_Olistsp @t10 @t25)) % 45.25/45.44 (define @t5610 () (tptp.hBOOL (tptp.hAPP @t5609 @t4912))) % 45.25/45.44 (define @t5611 () (tptp.c_List_Olistsp @t10 @t24)) % 45.25/45.44 (define @t5612 () (tptp.c_List_Olistsp @t10 @t256)) % 45.25/45.44 (define @t5613 () (tptp.c_Enum_Oproduct @t10 @t40 @t4912 @t4909)) % 45.25/45.44 (define @t5614 () (tptp.hBOOL (tptp.hAPP @t4305 @t3))) % 45.25/45.44 (define @t5615 () (tptp.hAPP @t3416 @t3)) % 45.25/45.44 (define @t5616 () (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t4912 @t4909)) % 45.25/45.44 (define @t5617 () (@list @t4909 @t4912 @t58 @t40 @t10)) % 45.25/45.44 (define @t5618 () (@var "V_bs_2" $$unsorted)) % 45.25/45.44 (define @t5619 () (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t153 @t171)) % 45.25/45.44 (define @t5620 () (@var "V_uu" $$unsorted)) % 45.25/45.44 (define @t5621 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t5051 @t1072)) (tptp.hAPP @t5139 @t1072)))) % 45.25/45.44 (define @t5622 () (tptp.hAPP @t1323 @t1072)) % 45.25/45.44 (define @t5623 () (@list @t1072 @t4909 @t4912 @t58 @t40 @t10)) % 45.25/45.44 (define @t5624 () (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5218 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t40 @t4909) @t749) @t99))) % 45.25/45.44 (define @t5625 () (tptp.c_Enum_Osublists @t10 @t4912)) % 45.25/45.44 (define @t5626 () (tptp.c_List_Oset @t4677)) % 45.25/45.44 (define @t5627 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t4921))) % 45.25/45.44 (define @t5628 () (tptp.c_List_Olist_ONil @t4921)) % 45.25/45.44 (define @t5629 () (tptp.c_List_Olist_OCons @t4921)) % 45.25/45.44 (define @t5630 () (tptp.hAPP @t5629 @t5250)) % 45.25/45.44 (define @t5631 () (tptp.hAPP @t5630 @t5628)) % 45.25/45.44 (define @t5632 () (tptp.tc_List_Olist @t4677)) % 45.25/45.44 (define @t5633 () (tptp.c_List_Omap @t4677 @t4677)) % 45.25/45.44 (define @t5634 () (tptp.c_Enum_On__lists @t10 @t445 @t4912)) % 45.25/45.44 (define @t5635 () (tptp.hAPP @t5626 @t5634)) % 45.25/45.44 (define @t5636 () (tptp.c_HOL_OThe @t10 @t58)) % 45.25/45.44 (define @t5637 () (tptp.c_Enum_On__lists @t35 @t1254 @t4919)) % 45.25/45.44 (define @t5638 () (tptp.c_Enum_On__lists @t35 @t1254 @t5250)) % 45.25/45.44 (define @t5639 () (tptp.hAPP @t4907 @t153)) % 45.25/45.44 (define @t5640 () (= @t5639 (tptp.hAPP @t5135 @t171))) % 45.25/45.44 (define @t5641 () (tptp.c_List_Oremdups @t10 @t4912)) % 45.25/45.44 (define @t5642 () (tptp.c_List_OremoveAll @t10 @t49)) % 45.25/45.44 (define @t5643 () (tptp.hAPP @t5642 @t4912)) % 45.25/45.44 (define @t5644 () (= (tptp.hAPP @t5512 @t5643) (tptp.hAPP (tptp.c_List_OremoveAll @t40 @t51) @t5515))) % 45.25/45.44 (define @t5645 () (@list @t4912 @t49 @t2 @t40 @t10)) % 45.25/45.44 (define @t5646 () (tptp.c_List_Oremdups @t35 @t4919)) % 45.25/45.44 (define @t5647 () (= @t5641 @t4912)) % 45.25/45.44 (define @t5648 () (tptp.c_List_OremoveAll @t35 @t34)) % 45.25/45.44 (define @t5649 () (tptp.hAPP @t5648 @t4919)) % 45.25/45.44 (define @t5650 () (tptp.hAPP @t4907 @t5641)) % 45.25/45.44 (define @t5651 () (= @t49 @t5251)) % 45.25/45.44 (define @t5652 () (tptp.c_List_Oremdups @t10 @t49)) % 45.25/45.44 (define @t5653 () (tptp.hAPP @t5648 @t5214)) % 45.25/45.44 (define @t5654 () (tptp.c_List_Oremdups @t10 @t4976)) % 45.25/45.44 (define @t5655 () (@var "V_xss_2" $$unsorted)) % 45.25/45.44 (define @t5656 () (tptp.hAPP @t5626 @t5655)) % 45.25/45.44 (define @t5657 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4677 @t27)) % 45.25/45.44 (define @t5658 () (tptp.c_List_Oconcat @t10 @t5655)) % 45.25/45.44 (define @t5659 () (@list @t5655 @t10)) % 45.25/45.44 (define @t5660 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t40 @t2 @t4912)) % 45.25/45.44 (define @t5661 () (tptp.c_List_Oconcat @t35 @t4919)) % 45.25/45.44 (define @t5662 () (= @t3 @t5251)) % 45.25/45.44 (define @t5663 () (tptp.hAPP @t4980 @t3)) % 45.25/45.44 (define @t5664 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5663 @t5656)) @t5662))) % 45.25/45.44 (define @t5665 () (tptp.hAPP (tptp.c_List_Omap @t5134 @t4677) @t5521)) % 45.25/45.44 (define @t5666 () (tptp.hAPP @t5665 @t4912)) % 45.25/45.44 (define @t5667 () (tptp.hAPP (tptp.c_List_Omap @t4677 tptp.tc_Nat_Onat) @t4907)) % 45.25/45.44 (define @t5668 () (tptp.hAPP @t5626 @t4912)) % 45.25/45.44 (define @t5669 () (tptp.c_List_Oconcat @t10 @t4912)) % 45.25/45.44 (define @t5670 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t3442 @t4912)) % 45.25/45.44 (define @t5671 () (= @t5669 (tptp.c_List_Oconcat @t10 @t4909))) % 45.25/45.44 (define @t5672 () (tptp.c_Nat_Osize__class_Osize @t5632)) % 45.25/45.44 (define @t5673 () (tptp.hAPP @t5672 @t4912)) % 45.25/45.44 (define @t5674 () (= @t5673 (tptp.hAPP @t5672 @t4909))) % 45.25/45.44 (define @t5675 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 @t3) (tptp.hAPP (tptp.c_List_Oset @t4684) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4677 @t4677) @t4912) @t4909)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4945 @t4936) @t3))))) % 45.25/45.44 (define @t5676 () (tptp.c_List_Omap @t40 @t4677)) % 45.25/45.44 (define @t5677 () (tptp.tc_fun @t4677 @t5632)) % 45.25/45.44 (define @t5678 () (tptp.c_List_Omap @t4677 @t5632)) % 45.25/45.44 (define @t5679 () (tptp.c_List_Olist_ONil @t4677)) % 45.25/45.44 (define @t5680 () (tptp.c_List_Olist_OCons @t4677)) % 45.25/45.44 (define @t5681 () (tptp.c_List_Oconcat @t4677 (tptp.hAPP (tptp.hAPP @t5678 (tptp.c_List_Olist_Olist__case @t5632 @t10 @t5679 (tptp.hAPP (tptp.c_COMBK @t5677 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t5632 @t5632) @t5680) @t5679)))) @t5655))) % 45.25/45.44 (define @t5682 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5633 (tptp.c_List_Olist_Olist__case @t4677 @t10 @t5251 (tptp.hAPP (tptp.hAPP @t5399 (tptp.c_COMBK @t4677 @t4677)) @t5293))) @t5655))) % 45.25/45.44 (define @t5683 () (tptp.hAPP (tptp.hAPP @t5680 @t4976) @t5655)) % 45.25/45.44 (define @t5684 () (= (tptp.c_List_Otranspose @t10 @t5683) (tptp.hAPP (tptp.hAPP @t5680 (tptp.hAPP @t4975 @t5682)) (tptp.c_List_Otranspose @t10 (tptp.hAPP (tptp.hAPP @t5680 @t4912) @t5681))))) % 45.25/45.44 (define @t5685 () (@list @t5655 @t4912 @t49 @t10)) % 45.25/45.44 (define @t5686 () (tptp.hAPP (tptp.hAPP @t4955 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4677 tptp.tc_HOL_Obool) tptp.c_fequal) @t5251))) % 45.25/45.44 (define @t5687 () (tptp.c_List_Ofilter @t4677 @t5686)) % 45.25/45.44 (define @t5688 () (tptp.hAPP @t5687 @t5655)) % 45.25/45.44 (define @t5689 () (tptp.c_List_Omap @t4677 @t10)) % 45.25/45.44 (define @t5690 () (tptp.c_List_Ofilter @t10 @t1072)) % 45.25/45.44 (define @t5691 () (@list @t4912 @t1072 @t10)) % 45.25/45.44 (define @t5692 () (tptp.c_List_Ofilter @t10 @t58)) % 45.25/45.44 (define @t5693 () (tptp.hAPP @t5692 @t4912)) % 45.25/45.44 (define @t5694 () (tptp.hAPP @t5078 @t5693)) % 45.25/45.44 (define @t5695 () (@list @t4912 @t58 @t10)) % 45.25/45.44 (define @t5696 () (tptp.hAPP @t4907 @t5693)) % 45.25/45.44 (define @t5697 () (tptp.c_List_Ofilter @t10 @t55)) % 45.25/45.44 (define @t5698 () (tptp.hAPP @t5697 @t4912)) % 45.25/45.44 (define @t5699 () (not @t61)) % 45.25/45.44 (define @t5700 () (@list @t4912 @t10 @t49 @t58)) % 45.25/45.44 (define @t5701 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10 tptp.c_fNot)) % 45.25/45.44 (define @t5702 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t40 @t58) @t2)) % 45.25/45.44 (define @t5703 () (tptp.hAPP (tptp.c_List_Ofilter @t40 @t5702) @t4912)) % 45.25/45.44 (define @t5704 () (tptp.hAPP @t5692 @t5522)) % 45.25/45.44 (define @t5705 () (@list @t4912 @t2 @t40 @t58 @t10)) % 45.25/45.44 (define @t5706 () (tptp.hAPP @t5692 @t4976)) % 45.25/45.44 (define @t5707 () (tptp.hAPP @t5692 @t4909)) % 45.25/45.44 (define @t5708 () (@list @t4909 @t4912 @t58 @t10)) % 45.25/45.44 (define @t5709 () (@var "V_xss" $$unsorted)) % 45.25/45.44 (define @t5710 () (tptp.c_List_Ofilter @t4677 (tptp.hAPP (tptp.hAPP @t4932 @t1404) @t4907))) % 45.25/45.44 (define @t5711 () (tptp.hAPP @t5710 @t4912)) % 45.25/45.44 (define @t5712 () (tptp.hAPP @t5689 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 tptp.tc_Nat_Onat @t10) @t5049) @t749))) % 45.25/45.44 (define @t5713 () (tptp.c_List_Otranspose @t10 @t4912)) % 45.25/45.44 (define @t5714 () (tptp.c_List_Onth @t4677)) % 45.25/45.44 (define @t5715 () (tptp.hAPP (tptp.hAPP @t5714 @t5713) @t749)) % 45.25/45.44 (define @t5716 () (tptp.hAPP @t5672 @t5713)) % 45.25/45.44 (define @t5717 () (tptp.hBOOL (tptp.hAPP @t1404 @t5716))) % 45.25/45.44 (define @t5718 () (@list @t99 @t4912 @t10)) % 45.25/45.44 (define @t5719 () (tptp.c_List_Osublist @t10 @t4912 @t3957)) % 45.25/45.44 (define @t5720 () (tptp.c_Wellfounded_Oaccp @t5632 (tptp.c_List_Otranspose__rel @t10))) % 45.25/45.44 (define @t5721 () (tptp.hAPP (tptp.hAPP @t5680 @t5251) @t5655)) % 45.25/45.44 (define @t5722 () (@var "V_is_2" $$unsorted)) % 45.25/45.44 (define @t5723 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 45.25/45.44 (define @t5724 () (tptp.hAPP (tptp.c_List_Ozip @t10 tptp.tc_Nat_Onat) @t4912)) % 45.25/45.44 (define @t5725 () (tptp.c_Product__Type_Osnd @t10 tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5726 () (tptp.tc_prod @t10 tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5727 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5726) @t58)) % 45.25/45.44 (define @t5728 () (tptp.hAPP (tptp.c_List_Omap @t5726 @t10) (tptp.c_Product__Type_Ofst @t10 tptp.tc_Nat_Onat))) % 45.25/45.44 (define @t5729 () (tptp.hAPP (tptp.c_List_Ofilter @t4994 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t10 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t27 tptp.tc_Code__Numeral_Ocode__numeral) @t4489) @t3998))) @t4912)) % 45.25/45.44 (define @t5730 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 @t4677) @t1414) @t4907)) % 45.25/45.44 (define @t5731 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 @t5134)) % 45.25/45.44 (define @t5732 () (tptp.hAPP @t5731 @t1414)) % 45.25/45.44 (define @t5733 () (tptp.c_List_Ofoldr @t40 @t10 @t2 @t4912 @t153)) % 45.25/45.44 (define @t5734 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1130 @t153) @t4912)) % 45.25/45.44 (define @t5735 () (tptp.c_List_Ofoldr @t10 @t10 @t1130 @t4912 @t1704)) % 45.25/45.44 (define @t5736 () (@list @t4912 @t153 @t10)) % 45.25/45.44 (define @t5737 () (tptp.c_List_Oupt @t1700 @t4913)) % 45.25/45.44 (define @t5738 () (tptp.hAPP @t5724 @t5737)) % 45.25/45.44 (define @t5739 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4449 @t5726) @t1190)) % 45.25/45.44 (define @t5740 () (tptp.c_COMBC @t5726 @t1149 tptp.tc_HOL_Obool)) % 45.25/45.44 (define @t5741 () (tptp.c_List_Ofilter @t5726 (tptp.hAPP (tptp.hAPP @t5740 (tptp.hAPP @t5739 @t5725)) @t25))) % 45.25/45.44 (define @t5742 () (tptp.c_List_Oupt @t749 @t1143)) % 45.25/45.44 (define @t5743 () (tptp.hAPP @t5166 @t5742)) % 45.25/45.44 (define @t5744 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5745 () (tptp.c_List_Oupt @t1274 @t1676)) % 45.25/45.44 (define @t5746 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5747 () (tptp.c_List_Oupt @t1274 @t1273)) % 45.25/45.44 (define @t5748 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5749 () (tptp.hAPP @t5748 @t5747)) % 45.25/45.44 (define @t5750 () (=> @t1389 (= @t5745 (tptp.hAPP @t5749 (tptp.hAPP (tptp.hAPP @t5746 @t1273) @t5744))))) % 45.25/45.44 (define @t5751 () (= @t5747 @t5744)) % 45.25/45.44 (define @t5752 () (=> @t1338 (= @t5747 (tptp.hAPP (tptp.hAPP @t5746 @t1274) (tptp.c_List_Oupt @t1612 @t1273))))) % 45.25/45.44 (define @t5753 () (tptp.c_List_Oupt @t402 @t445)) % 45.25/45.44 (define @t5754 () (tptp.hAPP @t2196 @t1254)) % 45.25/45.44 (define @t5755 () (tptp.hAPP @t2196 @t1255)) % 45.25/45.44 (define @t5756 () (tptp.c_List_Oupt @t5755 @t5754)) % 45.25/45.44 (define @t5757 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5755) @t5754))) % 45.25/45.44 (define @t5758 () (tptp.c_List_Oupt @t1700 @t445)) % 45.25/45.44 (define @t5759 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t10)) % 45.25/45.44 (define @t5760 () (tptp.hAPP (tptp.hAPP @t5759 @t2) @t5753)) % 45.25/45.44 (define @t5761 () (tptp.hAPP @t5163 @t5760)) % 45.25/45.44 (define @t5762 () (tptp.hAPP @t1074 (tptp.hAPP @t5166 @t5753))) % 45.25/45.44 (define @t5763 () (tptp.hAPP @t5714 @t4912)) % 45.25/45.44 (define @t5764 () (= @t4912 @t5679)) % 45.25/45.44 (define @t5765 () (tptp.c_List_Oremove1 @t10 @t153 @t4912)) % 45.25/45.44 (define @t5766 () (tptp.c_List_Olinorder__class_Osorted @t40 @t5515)) % 45.25/45.44 (define @t5767 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4912)) % 45.25/45.44 (define @t5768 () (tptp.c_List_Olinorder__class_Osorted @t35 @t4919)) % 45.25/45.44 (define @t5769 () (tptp.hAPP @t5213 @t5269)) % 45.25/45.44 (define @t5770 () (tptp.hAPP @t4973 @t5031)) % 45.25/45.44 (define @t5771 () (=> (= @t5080 @t5359) @t5021)) % 45.25/45.44 (define @t5772 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4909)) % 45.25/45.44 (define @t5773 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5522)) % 45.25/45.44 (define @t5774 () (@list @t49 @t4912 @t2 @t40 @t10)) % 45.25/45.44 (define @t5775 () (tptp.c_List_Ofilter @t40 @t58)) % 45.25/45.44 (define @t5776 () (tptp.hAPP @t5775 @t4912)) % 45.25/45.44 (define @t5777 () (tptp.hAPP @t1 @t4912)) % 45.25/45.44 (define @t5778 () (forall @t7 (=> @t5114 @t1099))) % 45.25/45.44 (define @t5779 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4976)) % 45.25/45.44 (define @t5780 () (tptp.hBOOL (tptp.hAPP @t1969 @t1848))) % 45.25/45.44 (define @t5781 () (tptp.hBOOL (tptp.hAPP @t1408 @t4924))) % 45.25/45.44 (define @t5782 () (@list @t1273 @t1274 @t4919 @t35)) % 45.25/45.44 (define @t5783 () (tptp.hAPP @t5763 @t749)) % 45.25/45.44 (define @t5784 () (tptp.hAPP @t5710 @t5713)) % 45.25/45.44 (define @t5785 () (tptp.hBOOL (tptp.hAPP @t1404 @t5673))) % 45.25/45.44 (define @t5786 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5787 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5786 (tptp.hAPP @t5667 @t4912)))) % 45.25/45.44 (define @t5788 () (@list @t749 @t4912 @t10)) % 45.25/45.44 (define @t5789 () (tptp.c_List_Orev @t10)) % 45.25/45.44 (define @t5790 () (tptp.hAPP @t5789 @t4912)) % 45.25/45.44 (define @t5791 () (tptp.c_List_Orev @t35)) % 45.25/45.44 (define @t5792 () (= @t4912 @t5282)) % 45.25/45.44 (define @t5793 () (tptp.hAPP @t5791 @t4919)) % 45.25/45.44 (define @t5794 () (tptp.c_List_Orev @t40)) % 45.25/45.44 (define @t5795 () (tptp.hAPP @t5794 @t4912)) % 45.25/45.44 (define @t5796 () (tptp.hAPP @t5789 @t5522)) % 45.25/45.44 (define @t5797 () (tptp.hAPP @t5794 @t4909)) % 45.25/45.44 (define @t5798 () (tptp.hAPP @t5789 @t4909)) % 45.25/45.44 (define @t5799 () (tptp.hAPP @t5199 @t1274)) % 45.25/45.44 (define @t5800 () (@list @t4919 @t1274 @t35)) % 45.25/45.44 (define @t5801 () (tptp.c_List_Ofoldr @t10 @t10 @t551 @t4912 @t99)) % 45.25/45.44 (define @t5802 () (tptp.c_List_OtakeWhile @t10 @t58 @t4912)) % 45.25/45.44 (define @t5803 () (tptp.hAPP @t4907 @t5802)) % 45.25/45.44 (define @t5804 () (tptp.c_List_OtakeWhile @t10 @t58 @t4976)) % 45.25/45.44 (define @t5805 () (tptp.c_List_OtakeWhile @t10 @t58 @t5346)) % 45.25/45.44 (define @t5806 () (@list @t4909 @t58 @t4912 @t49 @t10)) % 45.25/45.44 (define @t5807 () (@list @t4912 @t58 @t10 @t1143)) % 45.25/45.44 (define @t5808 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t40)) % 45.25/45.44 (define @t5809 () (tptp.hAPP (tptp.hAPP @t5808 (tptp.hAPP @t435 @t545)) @t2)) % 45.25/45.44 (define @t5810 () (tptp.hAPP @t4477 @t4710)) % 45.25/45.44 (define @t5811 () (tptp.c_List_OdropWhile @t10 @t58 @t4912)) % 45.25/45.44 (define @t5812 () (tptp.hAPP @t5325 @t5802)) % 45.25/45.44 (define @t5813 () (tptp.hAPP @t4907 @t5811)) % 45.25/45.44 (define @t5814 () (= @t5811 @t5251)) % 45.25/45.44 (define @t5815 () (tptp.c_List_OdropWhile @t10 @t58 @t4976)) % 45.25/45.44 (define @t5816 () (tptp.c_List_OdropWhile @t10 @t58 @t5346)) % 45.25/45.44 (define @t5817 () (tptp.hBOOL (tptp.hAPP @t58 @t5122))) % 45.25/45.44 (define @t5818 () (@list @t58 @t4912 @t10 @t445)) % 45.25/45.44 (define @t5819 () (tptp.c_List_Oinsert @t10 @t49 @t4912)) % 45.25/45.44 (define @t5820 () (=> @t5101 (= @t5819 @t4976))) % 45.25/45.44 (define @t5821 () (=> @t5097 (= @t5819 @t4912))) % 45.25/45.44 (define @t5822 () (tptp.c_List_Oinsert @t35 @t34 @t4919)) % 45.25/45.44 (define @t5823 () (tptp.c_List_Omaps @t40 @t10 @t2 @t4912)) % 45.25/45.44 (define @t5824 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5676 @t2) @t4912))) % 45.25/45.44 (define @t5825 () (@var "B_zs" $$unsorted)) % 45.25/45.44 (define @t5826 () (tptp.hAPP @t5078 @t5825)) % 45.25/45.44 (define @t5827 () (tptp.hAPP @t5078 @t5041)) % 45.25/45.44 (define @t5828 () (@list @t5825)) % 45.25/45.44 (define @t5829 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5041) @t5668))) % 45.25/45.44 (define @t5830 () (@list @t5041)) % 45.25/45.44 (define @t5831 () (@var "V_fs_2" $$unsorted)) % 45.25/45.44 (define @t5832 () (tptp.tc_fun @t10 tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5833 () (tptp.hBOOL (tptp.hAPP @t3932 (tptp.c_List_Omeasures @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5832) @t2) @t5831))))) % 45.25/45.44 (define @t5834 () (tptp.c_List_Omeasures @t10 @t5831)) % 45.25/45.44 (define @t5835 () (tptp.hBOOL (tptp.hAPP @t3932 @t5834))) % 45.25/45.44 (define @t5836 () (@list @t5831 @t10 @t99 @t49 @t2)) % 45.25/45.44 (define @t5837 () (@list @t5831 @t10)) % 45.25/45.44 (define @t5838 () (tptp.tc_List_Olist @t5832)) % 45.25/45.44 (define @t5839 () (tptp.c_COMBS @t10 @t40 tptp.tc_HOL_Obool)) % 45.25/45.44 (define @t5840 () (tptp.c_Enum_Oenum__class_Oenum__ex @t10)) % 45.25/45.44 (define @t5841 () (tptp.class_Enum_Oenum @t10)) % 45.25/45.44 (define @t5842 () (and @t117 @t5841)) % 45.25/45.44 (define @t5843 () (and (tptp.class_Enum_Oenum @t40) @t5841)) % 45.25/45.44 (define @t5844 () (tptp.hBOOL (tptp.hAPP @t5840 @t58))) % 45.25/45.44 (define @t5845 () (tptp.hAPP (tptp.hAPP @t5551 @t5137) @t4909)) % 45.25/45.44 (define @t5846 () (tptp.hAPP (tptp.hAPP @t5070 @t5137) @t4912)) % 45.25/45.44 (define @t5847 () (@var "V_seed_2" $$unsorted)) % 45.25/45.44 (define @t5848 () (@var "V_size_2" $$unsorted)) % 45.25/45.44 (define @t5849 () (@var "V_nrandom_2" $$unsorted)) % 45.25/45.44 (define @t5850 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3421 @t5849) @t5848) @t5847)) % 45.25/45.44 (define @t5851 () (@list @t4909 @t58 @t4912 @t10)) % 45.25/45.44 (define @t5852 () (exists @t5397 (and (= @t4909 (tptp.hAPP @t5348 (tptp.hAPP @t4975 @t5396))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t5078 @t5347))) @t4487)) @t61 (= @t4912 (tptp.hAPP @t5692 @t5396))))) % 45.25/45.44 (define @t5853 () (tptp.c_Enum_Oenum__class_Oenum__all @t10)) % 45.25/45.44 (define @t5854 () (tptp.hBOOL (tptp.hAPP @t5853 @t58))) % 45.25/45.44 (define @t5855 () (tptp.hBOOL (tptp.hAPP @t58 @t5052))) % 45.25/45.44 (define @t5856 () (tptp.c_List_Olist__ex @t10 @t58 @t4912)) % 45.25/45.44 (define @t5857 () (= @t4912 (tptp.hAPP (tptp.hAPP @t5325 @t5041) (tptp.hAPP @t4975 @t5825)))) % 45.25/45.44 (define @t5858 () (exists @t7 (and @t5114 @t287))) % 45.25/45.44 (define @t5859 () (@list @t5041 @t5825)) % 45.25/45.44 (define @t5860 () (tptp.c_List_Olist__all @t10 @t58 @t4912)) % 45.25/45.44 (define @t5861 () (tptp.c_FunDef_Ois__measure @t10 @t2)) % 45.25/45.44 (define @t5862 () (@list @t40 @t2 @t10)) % 45.25/45.44 (define @t5863 () (tptp.c_List_Olist__ex1 @t10 @t58 @t4912)) % 45.25/45.44 (define @t5864 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 45.25/45.44 (define @t5865 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t10)) % 45.25/45.44 (define @t5866 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5865) @t2) @t749)) % 45.25/45.44 (define @t5867 () (tptp.hAPP @t49 (tptp.hAPP (tptp.hAPP @t3069 @t749) @t3068))) % 45.25/45.44 (define @t5868 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t40 @t10 @t49 @t2) @t749)) % 45.25/45.44 (define @t5869 () (= @t749 @t3061)) % 45.25/45.44 (define @t5870 () (not @t5869)) % 45.25/45.44 (define @t5871 () (@list @t2 @t49 @t10 @t40 @t749)) % 45.25/45.44 (define @t5872 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t793)) % 45.25/45.44 (define @t5873 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5872) @t2) @t749)) % 45.25/45.44 (define @t5874 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t40 @t10 @t49 @t2) @t749)) % 45.25/45.44 (define @t5875 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5872)) % 45.25/45.44 (define @t5876 () (tptp.tc_fun @t3997 @t5875)) % 45.25/45.44 (define @t5877 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5876)) % 45.25/45.44 (define @t5878 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t3997 @t5875) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5876) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5877) @t2) @t5849)) @t5848)) @t5847)) % 45.25/45.44 (define @t5879 () (@list @t5847 @t5848 @t5849 @t2 @t3421 @t10 @t40)) % 45.25/45.44 (define @t5880 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5865)) % 45.25/45.44 (define @t5881 () (tptp.tc_fun @t3997 @t5880)) % 45.25/45.44 (define @t5882 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5881)) % 45.25/45.44 (define @t5883 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t3997 @t5880) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5881) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 tptp.tc_Code__Numeral_Ocode__numeral @t5882) @t2) @t5849)) @t5848)) @t5847)) % 45.25/45.44 (define @t5884 () (tptp.hAPP @t49 @t749)) % 45.25/45.44 (define @t5885 () (@list @t749 @t2 @t49 @t10 @t40)) % 45.25/45.44 (define @t5886 () (@var "V_i_1" $$unsorted)) % 45.25/45.44 (define @t5887 () (tptp.c_New__Random__Sequence_Oneg__single @t10)) % 45.25/45.44 (define @t5888 () (@list @t58 @t2 @t10 @t40)) % 45.25/45.44 (define @t5889 () (@list @t5847 @t5848 @t5849 @t49 @t10)) % 45.25/45.44 (define @t5890 () (@list @t5886 @t34 @t35)) % 45.25/45.44 (define @t5891 () (tptp.c_New__Random__Sequence_Opos__single @t10)) % 45.25/45.44 (define @t5892 () (tptp.c_List_Osplice @t35 @t4919 @t4918)) % 45.25/45.44 (define @t5893 () (@var "V_va" $$unsorted)) % 45.25/45.44 (define @t5894 () (tptp.hAPP (tptp.hAPP @t4959 @t1905) @t5893)) % 45.25/45.44 (define @t5895 () (tptp.c_Predicate_Oconversep @t40 @t10 @t3957)) % 45.25/45.44 (define @t5896 () (tptp.c_Predicate_Oconversep @t40 @t10 @t2919)) % 45.25/45.44 (define @t5897 () (tptp.c_Predicate_Oconversep @t10 @t40 @t2919)) % 45.25/45.44 (define @t5898 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2919 @t171) @t153))) % 45.25/45.44 (define @t5899 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5897 @t153) @t171))) % 45.25/45.44 (define @t5900 () (@list @t171 @t153 @t2919 @t40 @t10)) % 45.25/45.44 (define @t5901 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t783)) % 45.25/45.44 (define @t5902 () (tptp.tc_fun @t40 @t5901)) % 45.25/45.44 (define @t5903 () (@var "V_s2_2" $$unsorted)) % 45.25/45.44 (define @t5904 () (@var "V_s1_2" $$unsorted)) % 45.25/45.44 (define @t5905 () (tptp.c_List_Oreplicate @t35 @t1254 @t34)) % 45.25/45.44 (define @t5906 () (@list @t34 @t35 @t1254)) % 45.25/45.44 (define @t5907 () (tptp.hAPP (tptp.c_List_Ofilter @t10 @t4288) @t4912)) % 45.25/45.44 (define @t5908 () (@list @t34 @t1254 @t35)) % 45.25/45.44 (define @t5909 () (@var "V_lst_2" $$unsorted)) % 45.25/45.44 (define @t5910 () (tptp.hAPP @t5338 @t5905)) % 45.25/45.44 (define @t5911 () (tptp.hAPP @t1421 @t1274)) % 45.25/45.44 (define @t5912 () (tptp.c_List_Oreplicate @t35 @t1258 @t34)) % 45.25/45.44 (define @t5913 () (@list @t34 @t1258 @t1274 @t35)) % 45.25/45.44 (define @t5914 () (tptp.c_List_Oreplicate @t35 @t1274 @t34)) % 45.25/45.44 (define @t5915 () (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t5078 (tptp.c_List_Oreplicate @t10 @t445 @t153))))) % 45.25/45.44 (define @t5916 () (@list @t58 @t153 @t445 @t10)) % 45.25/45.44 (define @t5917 () (tptp.c_List_Oreplicate @t10 @t445 @t99)) % 45.25/45.44 (define @t5918 () (tptp.c_List_Oreplicate @t10 @t445 @t49)) % 45.25/45.44 (define @t5919 () (tptp.hAPP @t5692 @t5918)) % 45.25/45.44 (define @t5920 () (@list @t49 @t445 @t10)) % 45.25/45.44 (define @t5921 () (tptp.hAPP @t5078 @t5918)) % 45.25/45.44 (define @t5922 () (=> @t1734 (= @t5921 @t532))) % 45.25/45.44 (define @t5923 () (@list @t49 @t10 @t445)) % 45.25/45.44 (define @t5924 () (tptp.c_Lazy__Sequence_Osingle @t4677)) % 45.25/45.44 (define @t5925 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4677)) % 45.25/45.44 (define @t5926 () (tptp.hAPP (tptp.hAPP @t2219 @t170) @t2202)) % 45.25/45.44 (define @t5927 () (tptp.class_Lazy__Sequence_Osmall__lazy @t10)) % 45.25/45.44 (define @t5928 () (@var "V_yq_2" $$unsorted)) % 45.25/45.44 (define @t5929 () (tptp.hAPP @t5595 @t749)) % 45.25/45.44 (define @t5930 () (@var "V_lazy__sequence" $$unsorted)) % 45.25/45.44 (define @t5931 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t35)) % 45.25/45.44 (define @t5932 () (tptp.c_Nat_Osize__class_Osize @t5931)) % 45.25/45.44 (define @t5933 () (@var "V_yq" $$unsorted)) % 45.25/45.44 (define @t5934 () (@var "V_xq" $$unsorted)) % 45.25/45.44 (define @t5935 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 45.25/45.44 (define @t5936 () (@var "V_lazy__sequence_2" $$unsorted)) % 45.25/45.44 (define @t5937 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t153 @t5936)) % 45.25/45.44 (define @t5938 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t3166)) % 45.25/45.44 (define @t5939 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 45.25/45.44 (define @t5940 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t368 @t1274)) % 45.25/45.44 (define @t5941 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t368) @t1274))) % 45.25/45.44 (define @t5942 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 45.25/45.44 (define @t5943 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t170 @t749)) % 45.25/45.44 (define @t5944 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t170) @t749))) % 45.25/45.44 (define @t5945 () (tptp.c_Wellfounded_Oaccp @t3615 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 45.25/45.44 (define @t5946 () (tptp.c_Lazy__Sequence_Oyield @t10)) % 45.25/45.44 (define @t5947 () (tptp.hAPP @t5946 @t5595)) % 45.25/45.44 (define @t5948 () (tptp.c_Nat_Osize__class_Osize @t5865)) % 45.25/45.44 (define @t5949 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 @t5865) @t1144)) % 45.25/45.44 (define @t5950 () (tptp.c_COMBC @t5865 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5951 () (tptp.tc_fun @t5865 tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5952 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t5865 tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t5953 () (tptp.tc_prod @t10 @t5865)) % 45.25/45.44 (define @t5954 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t3957)) % 45.25/45.44 (define @t5955 () (tptp.tc_fun @t5865 @t3602)) % 45.25/45.44 (define @t5956 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t40)) % 45.25/45.44 (define @t5957 () (tptp.hAPP @t5305 @t5936)) % 45.25/45.44 (define @t5958 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t40 @t153 @t5936)) % 45.25/45.44 (define @t5959 () (@list @t5936 @t153 @t3136 @t3138 @t40 @t10)) % 45.25/45.44 (define @t5960 () (forall @t7 (=> @t526 (tptp.c_Relation_Orefl__on @t40 @t3212 @t3902)))) % 45.25/45.44 (define @t5961 () (@list @t2919 @t25 @t40 @t525 @t10)) % 45.25/45.44 (define @t5962 () (tptp.c_List_Omember @t10)) % 45.25/45.44 (define @t5963 () (tptp.hAPP @t5962 @t4912)) % 45.25/45.44 (define @t5964 () (tptp.hBOOL (tptp.hAPP @t5963 @t49))) % 45.25/45.44 (define @t5965 () (@var "B_T2" $$unsorted)) % 45.25/45.44 (define @t5966 () (@var "B_T1" $$unsorted)) % 45.25/45.44 (define @t5967 () (tptp.c_FunDef_OTHE__default @t10 @t170 @t58)) % 45.25/45.44 (define @t5968 () (exists @t7 (and @t287 (forall @t938 (=> @t4536 @t937))))) % 45.25/45.44 (define @t5969 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t35)) % 45.25/45.44 (define @t5970 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t10)) % 45.25/45.44 (define @t5971 () (@var "V_lazy__sequence_H" $$unsorted)) % 45.25/45.44 (define @t5972 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t35 @t2608 @t5971)) % 45.25/45.44 (define @t5973 () (@list @t5971 @t2608 @t35)) % 45.25/45.44 (define @t5974 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t40)) % 45.25/45.44 (define @t5975 () (tptp.c_List_Oall__interval__int @t58 @t749 @t1143)) % 45.25/45.44 (define @t5976 () (@list @t1143 @t749 @t58)) % 45.25/45.44 (define @t5977 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 45.25/45.44 (define @t5978 () (tptp.c_DSequence_Osingle @t10)) % 45.25/45.44 (define @t5979 () (tptp.tc_prod @t10 @t5977)) % 45.25/45.44 (define @t5980 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t5865)))) % 45.25/45.44 (define @t5981 () (tptp.tc_fun @t5980 @t5980)) % 45.25/45.44 (define @t5982 () (tptp.c_Product__Type_OPair @t5980 @t3997)) % 45.25/45.44 (define @t5983 () (tptp.tc_prod @t5980 @t3997)) % 45.25/45.44 (define @t5984 () (tptp.tc_fun @t3997 @t5983)) % 45.25/45.44 (define @t5985 () (tptp.tc_fun @t5980 @t5984)) % 45.25/45.44 (define @t5986 () (tptp.c_Random__Sequence_ORandom @t10 @t1 @t5849 @t5848)) % 45.25/45.44 (define @t5987 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3156 @t5849) @t3061))) % 45.25/45.44 (define @t5988 () (tptp.hAPP @t5982 (tptp.c_DSequence_Oempty @t10))) % 45.25/45.44 (define @t5989 () (tptp.c_Random__Sequence_Osingle @t10)) % 45.25/45.44 (define @t5990 () (tptp.hAPP @t4507 (tptp.hAPP @t4506 @t4694))) % 45.25/45.44 (define @t5991 () (tptp.c_Relation_Otrans @t10 @t2919)) % 45.25/45.44 (define @t5992 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4718 @t2092)) @t2919))) % 45.25/45.44 (define @t5993 () (tptp.hAPP @t4522 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 tptp.tc_HOL_Obool @t27) @t4578) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 @t569 @t27) @t5990) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t3332 @t569) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t4697 @t27) @t4537) tptp.c_fequal)) @t24))))) % 45.25/45.44 (define @t5994 () (tptp.tc_fun @t146 tptp.tc_HOL_Obool)) % 45.25/45.44 (define @t5995 () (tptp.tc_fun @t146 @t10)) % 45.25/45.44 (define @t5996 () (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5994 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t146)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5994 @t5994 @t10) (tptp.hAPP (tptp.c_COMBS @t146 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t146) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t146 @t5994 tptp.tc_HOL_Obool) (tptp.c_member @t146)) @t25)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5995 @t5994) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 (tptp.tc_fun @t5995 @t5994) @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t146)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t146 @t40 @t10) (tptp.c_COMBI @t146)) @t49)))))) % 45.25/45.44 (define @t5997 () (tptp.c_Predicate_Otransp @t10 @t2919)) % 45.25/45.44 (define @t5998 () (tptp.hAPP @t2919 @t99)) % 45.25/45.44 (define @t5999 () (tptp.c_Predicate_Otransp @t10 @t3421)) % 45.25/45.44 (define @t6000 () (tptp.c_Predicate_Osymp @t10 @t3421)) % 45.25/45.44 (define @t6001 () (tptp.c_Predicate_Oreflp @t10 @t3421)) % 45.25/45.44 (define @t6002 () (tptp.c_Predicate_Osymp @t10 @t2919)) % 45.25/45.44 (define @t6003 () (=> @t6000 (not @t5999))) % 45.25/45.44 (define @t6004 () (tptp.c_Relation_Oantisym @t10 @t2919)) % 45.25/45.44 (define @t6005 () (tptp.hBOOL (tptp.hAPP @t4822 @t2919))) % 45.25/45.44 (define @t6006 () (@list @t171 @t153 @t2919 @t10)) % 45.25/45.44 (define @t6007 () (tptp.tc_fun @t3237 tptp.tc_HOL_Obool)) % 45.25/45.44 (define @t6008 () (tptp.tc_fun @t3237 @t40)) % 45.25/45.44 (define @t6009 () (@var "V_L_2" $$unsorted)) % 45.25/45.44 (define @t6010 () (tptp.c_Relation_Osym @t10 @t2919)) % 45.25/45.44 (define @t6011 () (tptp.c_Relation_Osym @t10 @t3957)) % 45.25/45.44 (define @t6012 () (tptp.hBOOL (tptp.hAPP @t4236 @t3))) % 45.25/45.44 (define @t6013 () (exists @t7 @t6012)) % 45.25/45.44 (define @t6014 () (tptp.c_Equiv__Relations_Opart__equivp @t10 @t3421)) % 45.25/45.44 (define @t6015 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t40 @t143 @t2)) % 45.25/45.44 (define @t6016 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t10 @t10 @t6015) @t2) @t4581)) % 45.25/45.44 (define @t6017 () (tptp.hAPP @t6015 @t99)) % 45.25/45.44 (define @t6018 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t40 @t25 @t2)) % 45.25/45.44 (define @t6019 () (tptp.hAPP @t6018 @t99)) % 45.25/45.44 (define @t6020 () (tptp.c_Hilbert__Choice_Oinv__into @t40 @t10 @t25 @t2)) % 45.25/45.44 (define @t6021 () (tptp.hAPP @t6018 @t49)) % 45.25/45.44 (define @t6022 () (tptp.c_Hilbert__Choice_Oinv__into @t40 @t10 @t615 @t2)) % 45.25/45.44 (define @t6023 () (tptp.c_Set_Oimage @t40 @t10 @t6015)) % 45.25/45.44 (define @t6024 () (tptp.hAPP @t3185 @t4402)) % 45.25/45.44 (define @t6025 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 45.25/45.44 (define @t6026 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t630)) % 45.25/45.44 (define @t6027 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1190 @t630) @t1349))) % 45.25/45.44 (define @t6028 () (tptp.c_Quickcheck_Obeyond @t1258 @t1331)) % 45.25/45.44 (define @t6029 () (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t143 @t615)) % 45.25/45.44 (define @t6030 () (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t25 @t24)) % 45.25/45.44 (define @t6031 () (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t25 @t805)) % 45.25/45.44 (define @t6032 () (@var "V_A_H_H_2" $$unsorted)) % 45.25/45.44 (define @t6033 () (= @t939 @t615)) % 45.25/45.44 (define @t6034 () (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t24 @t4436)) % 45.25/45.44 (define @t6035 () (tptp.hAPP @t1528 @t753)) % 45.25/45.44 (define @t6036 () (@var "B_h" $$unsorted)) % 45.25/45.44 (define @t6037 () (@list @t6036)) % 45.25/45.44 (define @t6038 () (tptp.hBOOL (tptp.hAPP @t673 @t753))) % 45.25/45.44 (define @t6039 () (tptp.hAPP @t1755 @t6035)) % 45.25/45.44 (define @t6040 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t10 @t40 tptp.tc_HOL_Obool @t2) @t153) @t171))) % 45.25/45.44 (define @t6041 () (tptp.hBOOL (tptp.hAPP @t2 @t3782))) % 45.25/45.44 (define @t6042 () (tptp.c_Quotient_ORespects @t10 @t3421)) % 45.25/45.44 (define @t6043 () (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t204 @t6042)) @t287))) % 45.25/45.44 (define @t6044 () (tptp.hAPP @t597 @t62)) % 45.25/45.44 (define @t6045 () (tptp.c_Transitive__Closure_Ortrancl @t783 @t2919)) % 45.25/45.44 (define @t6046 () (@var "V_zb_2" $$unsorted)) % 45.25/45.44 (define @t6047 () (@var "V_za_2" $$unsorted)) % 45.25/45.44 (define @t6048 () (tptp.hAPP (tptp.hAPP @t3413 @t6047) @t6046)) % 45.25/45.44 (define @t6049 () (tptp.hAPP @t4025 @t3803)) % 45.25/45.44 (define @t6050 () (@var "V_xb_2" $$unsorted)) % 45.25/45.44 (define @t6051 () (tptp.hAPP (tptp.hAPP @t3413 @t4093) @t6050)) % 45.25/45.44 (define @t6052 () (tptp.hAPP @t4025 @t6051)) % 45.25/45.44 (define @t6053 () (@var "V_ay_2" $$unsorted)) % 45.25/45.44 (define @t6054 () (@var "V_ax_2" $$unsorted)) % 45.25/45.44 (define @t6055 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t6054) @t6053))) % 45.25/45.44 (define @t6056 () (@var "B_ba" $$unsorted)) % 45.25/45.44 (define @t6057 () (@var "B_aa" $$unsorted)) % 45.25/45.44 (define @t6058 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t6057) @t6056))) % 45.25/45.44 (define @t6059 () (@var "V_by_2" $$unsorted)) % 45.25/45.44 (define @t6060 () (@var "V_bx_2" $$unsorted)) % 45.25/45.44 (define @t6061 () (tptp.hAPP (tptp.hAPP @t3413 @t6060) @t6059)) % 45.25/45.44 (define @t6062 () (tptp.hAPP (tptp.hAPP @t3413 @t6057) @t6056)) % 45.25/45.44 (define @t6063 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6049 @t6062)) @t2919))) % 45.25/45.44 (define @t6064 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t6060) @t6059))) % 45.25/45.44 (define @t6065 () (tptp.hAPP @t4025 (tptp.hAPP (tptp.hAPP @t3413 @t6054) @t6053))) % 45.25/45.44 (define @t6066 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6065 @t6061)) @t6045))) % 45.25/45.44 (define @t6067 () (@list @t58 @t2919 @t6059 @t6060 @t6053 @t6054 @t40 @t10)) % 45.25/45.44 (define @t6068 () (@var "B_z2" $$unsorted)) % 45.25/45.44 (define @t6069 () (@var "B_z1" $$unsorted)) % 45.25/45.44 (define @t6070 () (@var "B_y2" $$unsorted)) % 45.25/45.44 (define @t6071 () (@var "B_y1" $$unsorted)) % 45.25/45.44 (define @t6072 () (@var "V_xqq" $$unsorted)) % 45.25/45.44 (define @t6073 () (tptp.c_List_Oall__interval__nat @t58 @t749 @t1143)) % 45.25/45.44 (define @t6074 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 45.25/45.44 (define @t6075 () (tptp.hAPP @t6074 @t34)) % 45.25/45.44 (define @t6076 () (tptp.c_Rings_Odvd__class_Odvd @t35)) % 45.25/45.44 (define @t6077 () (tptp.hAPP @t6076 @t83)) % 45.25/45.44 (define @t6078 () (tptp.hAPP @t6074 @t1258)) % 45.25/45.44 (define @t6079 () (tptp.hBOOL (tptp.hAPP @t6078 @t1254))) % 45.25/45.44 (define @t6080 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 45.25/45.44 (define @t6081 () (tptp.class_Divides_Osemiring__div @t10)) % 45.25/45.44 (define @t6082 () (tptp.hAPP @t6076 @t2146)) % 45.25/45.44 (define @t6083 () (tptp.hAPP @t6076 @t2926)) % 45.25/45.44 (define @t6084 () (tptp.hAPP @t6076 @t34)) % 45.25/45.44 (define @t6085 () (tptp.hBOOL (tptp.hAPP @t6084 @t66))) % 45.25/45.44 (define @t6086 () (tptp.hBOOL (tptp.hAPP @t6078 @t1255))) % 45.25/45.44 (define @t6087 () (tptp.hBOOL (tptp.hAPP @t6078 @t1257))) % 45.25/45.44 (define @t6088 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t160) @t749))) % 45.25/45.44 (define @t6089 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t749) @t160))) % 45.25/45.44 (define @t6090 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1149 @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5074 @t3962 tptp.tc_Nat_Onat) @t4445) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 @t5074 tptp.tc_Nat_Onat) @t4444) @t6074))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 @t1149 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 @t4440 @t6074)))) % 45.25/45.44 (define @t6091 () (tptp.hAPP @t1190 @t749)) % 45.25/45.44 (define @t6092 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t1254) @t1255))) % 45.25/45.44 (define @t6093 () (tptp.hAPP @t2559 @t34)) % 45.25/45.44 (define @t6094 () (tptp.hAPP @t6093 @t66)) % 45.25/45.44 (define @t6095 () (tptp.hAPP @t214 @t6094)) % 45.25/45.44 (define @t6096 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t66) @t34))) % 45.25/45.44 (define @t6097 () (tptp.hAPP @t6080 @t49)) % 45.25/45.44 (define @t6098 () (tptp.hBOOL (tptp.hAPP @t6097 @t99))) % 45.25/45.44 (define @t6099 () (tptp.class_Rings_Ocomm__ring__1 @t10)) % 45.25/45.44 (define @t6100 () (tptp.hAPP @t2122 @t1254)) % 45.25/45.44 (define @t6101 () (tptp.hBOOL (tptp.hAPP @t6077 @t87))) % 45.25/45.44 (define @t6102 () (tptp.hAPP @t6080 @t153)) % 45.25/45.44 (define @t6103 () (tptp.hBOOL (tptp.hAPP @t6102 @t171))) % 45.25/45.44 (define @t6104 () (tptp.hAPP @t6080 @t160)) % 45.25/45.44 (define @t6105 () (tptp.hAPP @t6076 @t1258)) % 45.25/45.44 (define @t6106 () (tptp.hBOOL (tptp.hAPP @t6105 (tptp.c_Divides_Odiv__class_Omod @t35 @t1255 @t1254)))) % 45.25/45.44 (define @t6107 () (tptp.hBOOL (tptp.hAPP @t6105 @t1254))) % 45.25/45.44 (define @t6108 () (tptp.hBOOL (tptp.hAPP @t6105 @t1255))) % 45.25/45.44 (define @t6109 () (@list @t1254 @t1255 @t1258 @t35)) % 45.25/45.44 (define @t6110 () (tptp.c_Divides_Odiv__class_Odiv @t10)) % 45.25/45.44 (define @t6111 () (tptp.hBOOL (tptp.hAPP @t6075 @t66))) % 45.25/45.44 (define @t6112 () (tptp.hAPP @t6074 @t66)) % 45.25/45.44 (define @t6113 () (tptp.hBOOL (tptp.hAPP @t6112 @t34))) % 45.25/45.44 (define @t6114 () (and @t6111 (not @t6113))) % 45.25/45.44 (define @t6115 () (tptp.hAPP @t6074 @t72)) % 45.25/45.44 (define @t6116 () (tptp.hBOOL (tptp.hAPP @t6075 @t72))) % 45.25/45.44 (define @t6117 () (and @t6116 (not (tptp.hBOOL (tptp.hAPP @t6115 @t34))))) % 45.25/45.44 (define @t6118 () (tptp.hBOOL (tptp.hAPP @t6112 @t72))) % 45.25/45.44 (define @t6119 () (=> (and @t6118 (not (tptp.hBOOL (tptp.hAPP @t6115 @t66)))) @t6117)) % 45.25/45.44 (define @t6120 () (tptp.hAPP @t6074 @t83)) % 45.25/45.44 (define @t6121 () (tptp.hBOOL (tptp.hAPP @t6120 @t87))) % 45.25/45.44 (define @t6122 () (tptp.hAPP @t6074 @t87)) % 45.25/45.44 (define @t6123 () (tptp.hBOOL (tptp.hAPP @t6122 @t83))) % 45.25/45.44 (define @t6124 () (and @t6121 (not @t6123))) % 45.25/45.44 (define @t6125 () (tptp.hAPP @t6074 @t84)) % 45.25/45.44 (define @t6126 () (tptp.hBOOL (tptp.hAPP @t6120 @t84))) % 45.25/45.44 (define @t6127 () (and @t6126 (not (tptp.hBOOL (tptp.hAPP @t6125 @t83))))) % 45.25/45.44 (define @t6128 () (tptp.hBOOL (tptp.hAPP @t6122 @t84))) % 45.25/45.44 (define @t6129 () (@var "T_1" $$unsorted)) % 45.25/45.44 (define @t6130 () (@var "T_2" $$unsorted)) % 45.25/45.44 (define @t6131 () (tptp.tc_fun @t6130 @t6129)) % 45.25/45.44 (define @t6132 () (tptp.class_Lattices_Obounded__lattice @t6129)) % 45.25/45.44 (define @t6133 () (@list @t6130 @t6129)) % 45.25/45.44 (define @t6134 () (tptp.class_Lattices_Olattice @t6129)) % 45.25/45.44 (define @t6135 () (tptp.class_Finite__Set_Ofinite @t6129)) % 45.25/45.44 (define @t6136 () (and (tptp.class_Finite__Set_Ofinite @t6130) @t6135)) % 45.25/45.44 (define @t6137 () (@list @t6129 @t6130)) % 45.25/45.44 (define @t6138 () (tptp.class_Enum_Oenum @t6129)) % 45.25/45.44 (define @t6139 () (and (tptp.class_Enum_Oenum @t6130) @t6138)) % 45.25/45.44 (define @t6140 () (tptp.tc_List_Olist @t6129)) % 45.25/45.44 (define @t6141 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6129)) % 45.25/45.44 (define @t6142 () (@list @t6129)) % 45.25/45.44 (define @t6143 () (tptp.tc_sum @t6130 @t6129)) % 45.25/45.44 (define @t6144 () (tptp.tc_Option_Ooption @t6129)) % 45.25/45.44 (define @t6145 () (tptp.tc_prod @t6130 @t6129)) % 45.25/45.44 (define @t6146 () (@var "V_P" $$unsorted)) % 45.25/45.44 (define @t6147 () (@var "V_Q" $$unsorted)) % 45.25/45.44 (define @t6148 () (tptp.hAPP @t55 @t3421)) % 45.25/45.44 (define @t6149 () (tptp.hAPP @t58 @t3421)) % 45.25/45.44 (define @t6150 () (@list @t3421 @t55 @t58 @t10 @t1118 @t40)) % 45.25/45.44 (define @t6151 () (tptp.hBOOL (tptp.hAPP @t4288 @t99))) % 45.25/45.44 (define @t6152 () (tptp.hBOOL @t58)) % 45.25/45.44 (define @t6153 () (not @t6152)) % 45.25/45.44 (define @t6154 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t58))) % 45.25/45.44 (define @t6155 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t58) @t55))) % 45.25/45.44 (define @t6156 () (tptp.hBOOL @t55)) % 45.25/45.44 (define @t6157 () (not @t6156)) % 45.25/45.44 (define @t6158 () (@list @t55 @t58)) % 45.25/45.44 (define @t6159 () (not @t6155)) % 45.25/45.44 (define @t6160 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t58) @t55))) % 45.25/45.44 (define @t6161 () (@list @t58 @t55)) % 45.25/45.44 (define @t6162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t58) @t55))) % 45.25/45.44 (define @t6163 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_G_H tptp.v_ts)) % 45.25/45.44 (define @t6164 () (@var "B_G" $$unsorted)) % 45.25/45.44 (define @t6165 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6164 tptp.v_ts)) % 45.25/45.44 (define @t6166 () (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a) tptp.tc_HOL_Obool)) tptp.v_G_H)) % 45.25/45.44 (define @t6167 () (tptp.hBOOL (tptp.hAPP @t6166 @t6164))) % 45.25/45.44 (define @t6168 () (@list @t6164)) % 45.25/45.44 (define @t6169 () (forall @t6168 (=> @t6167 @t6165))) % 45.25/45.44 (define @t6170 () (not @t6169)) % 45.25/45.44 (define @t6171 () (not @t19)) % 45.25/45.44 (define @t6172 () (not @t21)) % 45.25/45.44 (define @t6173 () (or @t6172 @t6171 @t11)) % 45.25/45.44 (define @t6174 () (@quantifiers_skolemize (forall @t6168 (or (not @t6167) @t6165)) 0)) % 45.25/45.44 (define @t6175 () (tptp.hBOOL (tptp.hAPP @t6166 @t6174))) % 45.25/45.44 (define @t6176 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6174 tptp.v_ts)) % 45.25/45.44 (define @t6177 () (not @t6175)) % 45.25/45.44 (define @t6178 () (or @t6177 @t6176)) % 45.25/45.44 (define @t6179 () (@list true)) % 45.25/45.44 (define @t6180 () (@list @t6178)) % 45.25/45.44 (define @t6181 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6174 tptp.v_G_H)) % 45.25/45.44 (define @t6182 () (or @t6177 @t6181)) % 45.25/45.44 (define @t6183 () (not @t6181)) % 45.25/45.44 (define @t6184 () (not @t6163)) % 45.25/45.44 (define @t6185 () (or @t6184 @t6183 @t6176)) % 45.25/45.44 (define @t6186 () (not @t6185)) % 45.25/45.44 (define @t6187 () (forall @t22 @t6173)) % 45.25/45.44 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 45.25/45.44 (assume @p2 @t16) % 45.25/45.44 (assume @p3 (forall (@list @t8 @t17 @t9 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t17) (=> (tptp.hBOOL (tptp.hAPP @t14 @t17)) @t11)))) % 45.25/45.44 (assume @p4 @t23) % 45.25/45.44 (assume @p5 (forall @t33 (=> @t32 (=> @t30 @t26)))) % 45.25/45.44 (assume @p6 (forall @t39 (=> @t38 (tptp.hBOOL (tptp.hAPP @t37 @t34))))) % 45.25/45.44 (assume @p7 (forall @t48 (=> @t47 (= @t46 @t43)))) % 45.25/45.44 (assume @p8 (forall (@list @t49 @t1 @t2 @t10 @t40) (=> @t47 (=> @t46 (tptp.hBOOL (tptp.hAPP @t52 @t50)))))) % 45.25/45.44 (assume @p9 (forall @t53 (tptp.hBOOL (tptp.hAPP @t31 @t25)))) % 45.25/45.44 (assume @p10 (forall @t54 (= @t26 (and @t32 @t30)))) % 45.25/45.44 (assume @p11 (forall (@list @t55 @t10 @t49 @t58) (=> @t61 (=> @t59 @t57)))) % 45.25/45.44 (assume @p12 (forall @t54 (=> @t26 @t32))) % 45.25/45.44 (assume @p13 (forall @t54 (=> @t26 @t30))) % 45.25/45.44 (assume @p14 (forall (@list @t49 @t55 @t58 @t10) (=> @t59 (=> @t61 @t57)))) % 45.25/45.44 (assume @p15 (forall @t65 (=> @t32 (=> @t64 @t63)))) % 45.25/45.44 (assume @p16 (forall @t71 (=> @t70 (=> (not @t69) @t68)))) % 45.25/45.44 (assume @p17 (forall @t77 (=> @t76 (=> @t68 (=> @t75 @t74))))) % 45.25/45.44 (assume @p18 (forall @t79 (=> @t76 (=> @t68 (=> @t69 @t78))))) % 45.25/45.44 (assume @p19 (forall @t82 (=> @t38 (=> @t69 (=> @t81 @t80))))) % 45.25/45.44 (assume @p20 (forall @t71 (=> @t76 (=> @t69 (=> @t68 @t78))))) % 45.25/45.44 (assume @p21 (forall @t91 (=> @t76 (=> @t90 (=> @t88 @t86))))) % 45.25/45.44 (assume @p22 (forall @t96 (=> @t95 (=> @t94 (=> @t88 @t93))))) % 45.25/45.44 (assume @p23 (forall @t96 (=> @t76 (=> @t97 (=> (tptp.hBOOL (tptp.hAPP @t85 @t87)) @t86))))) % 45.25/45.44 (assume @p24 (forall @t96 (=> @t95 (=> @t97 (=> @t98 @t93))))) % 45.25/45.44 (assume @p25 (forall @t108 (=> @t107 (=> @t106 @t104)))) % 45.25/45.44 (assume @p26 (forall @t71 (=> @t38 (=> @t78 @t69)))) % 45.25/45.44 (assume @p27 (forall @t109 (=> @t107 (= @t100 (and @t103 @t106))))) % 45.25/45.44 (assume @p28 (forall @t71 (=> @t70 (or @t69 @t68)))) % 45.25/45.44 (assume @p29 (forall @t54 (=> @t26 (not (=> @t32 (not @t30)))))) % 45.25/45.44 (assume @p30 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t110) (tptp.c_Predicate_OPowp @t10 @t24)))))) % 45.25/45.44 (assume @p31 (forall (@list @t10 @t1 @t2 @t40) (=> @t47 (=> @t43 @t46)))) % 45.25/45.44 (assume @p32 (forall @t119 (=> @t118 (=> @t115 (= @t114 @t103))))) % 45.25/45.44 (assume @p33 (forall @t109 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t122) @t121)) @t106)))) % 45.25/45.44 (assume @p34 (forall @t109 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t125) @t124)) @t103)))) % 45.25/45.44 (assume @p35 (forall @t109 (=> @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t128) @t127)) @t106)))) % 45.25/45.44 (assume @p36 (forall @t109 (=> @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t131) @t130)) @t103)))) % 45.25/45.44 (assume @p37 (forall @t136 (=> @t135 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t134) (tptp.hAPP (tptp.hAPP @t132 @t24) @t2))))))) % 45.25/45.44 (assume @p38 (forall @t136 (=> @t135 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP (tptp.hAPP @t137 @t24) @t2)) @t139)))))) % 45.25/45.44 (assume @p39 (forall @t39 (=> (tptp.class_Orderings_Otop @t35) (tptp.hBOOL (tptp.hAPP @t37 @t140))))) % 45.25/45.44 (assume @p40 (forall @t39 (=> (tptp.class_Orderings_Obot @t35) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t141) @t34))))) % 45.25/45.44 (assume @p41 (forall @t53 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t142) @t25)))) % 45.25/45.44 (assume @p42 (forall @t144 (not (= @t143 @t142)))) % 45.25/45.44 (assume @p43 (forall @t147 (=> (tptp.class_Orderings_Obot @t10) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t146) @t49) @t145)))) % 45.25/45.44 (assume @p44 (forall @t147 (=> (tptp.class_Orderings_Otop @t10) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t146) @t49) @t148)))) % 45.25/45.44 (assume @p45 (forall @t109 (=> @t116 (= (= @t122 @t121) @t100)))) % 45.25/45.44 (assume @p46 (forall @t109 (=> @t116 (= (= @t125 @t124) @t100)))) % 45.25/45.44 (assume @p47 (forall @t109 (=> @t116 (= (= @t128 @t127) @t100)))) % 45.25/45.44 (assume @p48 (forall @t109 (=> @t116 (= (= @t131 @t130) @t100)))) % 45.25/45.44 (assume @p49 (forall @t119 (=> @t118 (=> @t115 @t150)))) % 45.25/45.44 (assume @p50 (forall @t53 (tptp.hBOOL (tptp.hAPP @t31 @t143)))) % 45.25/45.44 (assume @p51 (forall @t53 (= (tptp.hBOOL (tptp.hAPP @t31 @t142)) @t151))) % 45.25/45.44 (assume @p52 (forall (@list @t9 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t152))) % 45.25/45.44 (assume @p53 (forall @t154 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t153 @t152))) % 45.25/45.44 (assume @p54 (forall @t144 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t142) @t148)))) % 45.25/45.44 (assume @p55 (forall @t144 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t142) @t145)))) % 45.25/45.44 (assume @p56 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t158) @t157))))) % 45.25/45.44 (assume @p57 (forall @t163 (=> @t107 (=> @t162 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t160 @t159) @t142))))) % 45.25/45.44 (assume @p58 (forall @t163 (=> @t107 (=> @t162 @t165)))) % 45.25/45.44 (assume @p59 (forall @t169 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t24) @t25)) (tptp.hBOOL (tptp.hAPP @t168 @t166))))) % 45.25/45.44 (assume @p60 (forall @t181 (=> @t116 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t180) @t179)) (or @t178 @t177))))) % 45.25/45.44 (assume @p61 (forall @t185 (=> @t116 (= (tptp.hAPP @t184 @t183) @t182)))) % 45.25/45.44 (assume @p62 (forall @t185 (=> @t116 (= (tptp.hAPP @t184 @t182) @t183)))) % 45.25/45.44 (assume @p63 (forall @t187 (=> @t107 (=> @t178 @t186)))) % 45.25/45.44 (assume @p64 (forall @t181 (=> @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t192) @t191)) (or @t190 @t177))))) % 45.25/45.44 (assume @p65 (forall @t185 (=> @t116 (= (tptp.hAPP @t184 @t194) @t193)))) % 45.25/45.44 (assume @p66 (forall @t195 (tptp.hBOOL (tptp.hAPP @t143 @t49)))) % 45.25/45.44 (assume @p67 (forall @t53 (not (= @t158 @t196)))) % 45.25/45.44 (assume @p68 (forall @t144 (= (tptp.hAPP @t156 @t143) @t197))) % 45.25/45.44 (assume @p69 (forall @t53 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t158) @t25))) % 45.25/45.44 (assume @p70 (forall @t144 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t197) @t143))) % 45.25/45.44 (assume @p71 (forall @t144 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t196) @t143))) % 45.25/45.44 (assume @p72 (forall @t33 (= (= @t199 @t198) @t26))) % 45.25/45.44 (assume @p73 (forall @t53 (= (tptp.hAPP @t184 @t199) @t25))) % 45.25/45.44 (assume @p74 (forall @t53 (tptp.hBOOL (tptp.hAPP @t201 (tptp.hAPP @t156 @t200))))) % 45.25/45.44 (assume @p75 (forall @t144 (= (tptp.hAPP @t184 @t143) @t142))) % 45.25/45.44 (assume @p76 (forall @t144 (= (tptp.hAPP @t184 @t142) @t143))) % 45.25/45.44 (assume @p77 (forall @t144 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t196) @t142))) % 45.25/45.44 (assume @p78 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t198) @t199))))) % 45.25/45.44 (assume @p79 (forall @t33 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t199) @t198)) @t30))) % 45.25/45.44 (assume @p80 (forall @t144 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t197) @t142))) % 45.25/45.44 (assume @p81 (forall @t208 (=> @t155 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t207) @t171)) @t206)))) % 45.25/45.44 (assume @p82 (forall (@list @t25 @t171 @t10) (=> @t155 (= (tptp.hBOOL (tptp.hAPP @t172 @t210)) @t209)))) % 45.25/45.44 (assume @p83 (forall @t144 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t143) @t145)))) % 45.25/45.44 (assume @p84 (forall @t144 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t143) @t148)))) % 45.25/45.44 (assume @p85 (forall @t53 (= (tptp.hBOOL (tptp.hAPP @t31 @t199)) @t151))) % 45.25/45.44 (assume @p86 (forall @t33 (=> (tptp.hBOOL (tptp.hAPP @t201 @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t200) @t211))))) % 45.25/45.44 (assume @p87 (forall @t213 (=> @t107 (= @t212 @t190)))) % 45.25/45.44 (assume @p88 (forall @t213 (=> @t107 (= (= @t142 @t192) @t190)))) % 45.25/45.44 (assume @p89 (forall @t185 (=> @t116 (= (tptp.hAPP @t184 @t193) @t194)))) % 45.25/45.44 (assume @p90 (forall @t216 (=> @t215 (= (tptp.hAPP @t214 @t141) @t140)))) % 45.25/45.44 (assume @p91 (forall @t216 (=> @t215 (= (tptp.hAPP @t214 @t140) @t141)))) % 45.25/45.44 (assume @p92 (forall @t219 (=> (tptp.class_Groups_Ouminus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t146) @t25) @t49) (tptp.hAPP @t218 @t217))))) % 45.25/45.44 (assume @p93 (forall @t71 (=> @t215 (=> @t69 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t221) @t220)))))) % 45.25/45.44 (assume @p94 (forall @t225 (=> @t224 (=> @t94 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t223) @t222)))))) % 45.25/45.44 (assume @p95 (forall @t109 (=> @t228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t227) @t226)) @t106)))) % 45.25/45.44 (assume @p96 (forall @t187 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t231 @t229)) @t189)))) % 45.25/45.44 (assume @p97 (forall @t213 (=> @t232 (= @t234 (tptp.hBOOL (tptp.hAPP @t231 @t153)))))) % 45.25/45.44 (assume @p98 (forall @t213 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t188 @t230)) (tptp.hBOOL (tptp.hAPP @t172 @t229)))))) % 45.25/45.44 (assume @p99 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP (tptp.hAPP @t239 @t238) @t237) @t235))))) % 45.25/45.44 (assume @p100 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t244 @t238) @t242))))) % 45.25/45.44 (assume @p101 (forall @t241 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t246 @t245) @t237) @t142)))) % 45.25/45.44 (assume @p102 (forall @t253 (=> @t252 (=> (not @t249) @t248)))) % 45.25/45.44 (assume @p103 (forall (@list @t10 @t25 @t49 @t24) (=> (=> @t254 @t249) @t252))) % 45.25/45.44 (assume @p104 (forall (@list @t10 @t24 @t49 @t25) (=> @t249 (=> @t248 @t257)))) % 45.25/45.44 (assume @p105 (forall @t253 (=> @t257 (not (=> @t249 @t254))))) % 45.25/45.44 (assume @p106 (forall @t33 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t259) (tptp.hAPP (tptp.hAPP @t239 @t200) @t211)))) % 45.25/45.44 (assume @p107 (forall @t71 (=> @t215 (= (tptp.hAPP @t214 @t264) (tptp.hAPP @t261 @t221))))) % 45.25/45.44 (assume @p108 (forall @t71 (=> @t215 (= (tptp.hAPP @t214 @t267) (tptp.hAPP @t265 @t221))))) % 45.25/45.44 (assume @p109 (forall @t53 (= (tptp.hAPP @t255 @t25) @t25))) % 45.25/45.44 (assume @p110 (forall @t53 (= (tptp.hAPP @t250 @t25) @t25))) % 45.25/45.44 (assume @p111 (forall @t33 (= @t256 @t269))) % 45.25/45.44 (assume @p112 (forall @t33 (= @t251 @t271))) % 45.25/45.44 (assume @p113 (forall @t33 (= (tptp.hAPP @t255 @t256) @t256))) % 45.25/45.44 (assume @p114 (forall @t33 (= (tptp.hAPP @t250 @t251) @t251))) % 45.25/45.44 (assume @p115 (forall @t65 (= @t274 (tptp.hAPP @t268 @t272)))) % 45.25/45.44 (assume @p116 (forall @t65 (= @t277 (tptp.hAPP @t270 @t275)))) % 45.25/45.44 (assume @p117 (forall @t65 (= @t279 (tptp.hAPP @t278 @t272)))) % 45.25/45.44 (assume @p118 (forall @t65 (= (tptp.hAPP @t250 @t273) (tptp.hAPP @t280 @t275)))) % 45.25/45.44 (assume @p119 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t246 @t256) @t62) @t274))) % 45.25/45.44 (assume @p120 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t239 @t251) @t62) @t277))) % 45.25/45.44 (assume @p121 (forall @t283 (= (tptp.hAPP (tptp.hAPP @t246 @t276) @t25) (tptp.hAPP (tptp.hAPP @t239 @t269) @t282)))) % 45.25/45.44 (assume @p122 (forall @t283 (= (tptp.hAPP (tptp.hAPP @t239 @t273) @t25) (tptp.hAPP (tptp.hAPP @t246 @t271) @t285)))) % 45.25/45.44 (assume @p123 (forall @t290 (= (exists @t7 (and @t289 @t287)) (or (exists @t7 (and @t205 @t287)) (exists @t7 (and @t288 @t287)))))) % 45.25/45.44 (assume @p124 (forall @t290 (= (forall @t7 (=> @t289 @t287)) (and (forall @t7 (=> @t205 @t287)) (forall @t7 (=> @t288 @t287)))))) % 45.25/45.44 (assume @p125 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP @t278 @t273)) @t282) (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP @t280 @t276)) @t285)))) % 45.25/45.44 (assume @p126 (forall (@list @t24 @t10 @t49 @t25) (=> @t249 @t252))) % 45.25/45.44 (assume @p127 (forall (@list @t25 @t10 @t49 @t24) (=> @t248 @t252))) % 45.25/45.44 (assume @p128 (forall @t253 (=> @t257 @t249))) % 45.25/45.44 (assume @p129 (forall @t253 (=> @t257 @t248))) % 45.25/45.44 (assume @p130 (forall @t293 (=> @t292 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t146) @t2) @t1) @t49) (tptp.hAPP (tptp.hAPP @t291 @t51) @t50))))) % 45.25/45.44 (assume @p131 (forall @t293 (=> @t292 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t146) @t2) @t1) @t49) (tptp.hAPP (tptp.hAPP @t294 @t51) @t50))))) % 45.25/45.44 (assume @p132 (forall @t300 (=> @t299 (= (tptp.hAPP (tptp.hAPP @t260 @t298) @t34) (tptp.hAPP (tptp.hAPP @t262 @t296) (tptp.hAPP (tptp.hAPP @t260 @t72) @t34)))))) % 45.25/45.44 (assume @p133 (forall @t300 (=> @t299 (= (tptp.hAPP (tptp.hAPP @t262 @t302) @t34) (tptp.hAPP (tptp.hAPP @t260 @t301) (tptp.hAPP (tptp.hAPP @t262 @t72) @t34)))))) % 45.25/45.44 (assume @p134 (forall @t82 (=> @t305 @t304))) % 45.25/45.44 (assume @p135 (forall @t82 (=> @t306 @t304))) % 45.25/45.44 (assume @p136 (forall @t96 (=> @t305 (= (tptp.hAPP (tptp.hAPP @t260 @t310) @t84) @t309)))) % 45.25/45.44 (assume @p137 (forall @t82 (=> @t313 @t312))) % 45.25/45.44 (assume @p138 (forall @t82 (=> @t306 @t312))) % 45.25/45.44 (assume @p139 (forall @t96 (=> @t313 (= (tptp.hAPP (tptp.hAPP @t262 @t317) @t84) @t316)))) % 45.25/45.44 (assume @p140 (forall @t82 (=> @t299 (= @t320 @t319)))) % 45.25/45.44 (assume @p141 (forall @t82 (=> @t299 (= @t323 @t322)))) % 45.25/45.44 (assume @p142 (forall @t82 (=> @t305 @t324))) % 45.25/45.44 (assume @p143 (forall @t82 (=> @t306 @t324))) % 45.25/45.44 (assume @p144 (forall @t91 (=> @t305 (= (tptp.hAPP @t307 (tptp.hAPP @t308 @t84)) @t309)))) % 45.25/45.44 (assume @p145 (forall @t82 (=> @t313 @t325))) % 45.25/45.44 (assume @p146 (forall @t82 (=> @t306 @t325))) % 45.25/45.44 (assume @p147 (forall @t91 (=> @t313 (= (tptp.hAPP @t314 (tptp.hAPP @t315 @t84)) @t316)))) % 45.25/45.44 (assume @p148 (forall @t71 (=> @t305 @t326))) % 45.25/45.44 (assume @p149 (forall @t71 (=> @t306 @t326))) % 45.25/45.44 (assume @p150 (forall @t225 (=> @t305 (= (tptp.hAPP @t308 @t310) @t310)))) % 45.25/45.44 (assume @p151 (forall @t71 (=> @t313 @t327))) % 45.25/45.44 (assume @p152 (forall @t71 (=> @t306 @t327))) % 45.25/45.44 (assume @p153 (forall @t225 (=> @t313 (= (tptp.hAPP @t315 @t317) @t317)))) % 45.25/45.44 (assume @p154 (forall @t71 (=> @t306 (= (tptp.hAPP @t266 @t264) @t34)))) % 45.25/45.44 (assume @p155 (forall @t71 (=> @t306 (= (tptp.hAPP @t263 @t267) @t34)))) % 45.25/45.44 (assume @p156 (forall @t71 (=> @t305 @t328))) % 45.25/45.44 (assume @p157 (forall @t71 (=> @t306 @t328))) % 45.25/45.44 (assume @p158 (forall @t225 (=> @t305 (= @t310 (tptp.hAPP @t307 @t83))))) % 45.25/45.44 (assume @p159 (forall @t71 (=> @t313 @t329))) % 45.25/45.44 (assume @p160 (forall @t71 (=> @t306 @t329))) % 45.25/45.44 (assume @p161 (forall @t225 (=> @t313 (= @t317 (tptp.hAPP @t314 @t83))))) % 45.25/45.44 (assume @p162 (forall @t39 (=> @t305 @t330))) % 45.25/45.44 (assume @p163 (forall @t331 (=> @t305 (= (tptp.hAPP @t308 @t83) @t83)))) % 45.25/45.44 (assume @p164 (forall @t39 (=> @t313 @t332))) % 45.25/45.44 (assume @p165 (forall @t331 (=> @t313 (= (tptp.hAPP @t315 @t83) @t83)))) % 45.25/45.44 (assume @p166 (forall @t82 (=> @t306 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t322) @t323))))) % 45.25/45.44 (assume @p167 (forall @t82 (=> @t306 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t320) @t319))))) % 45.25/45.44 (assume @p168 (forall @t65 (= (= (tptp.hAPP @t278 @t62) @t279) @t334))) % 45.25/45.44 (assume @p169 (forall @t33 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t336)) (tptp.hAPP (tptp.hAPP @t246 @t200) @t211))))) % 45.25/45.44 (assume @p170 (forall @t71 (=> @t306 @t337))) % 45.25/45.44 (assume @p171 (forall @t71 (=> @t305 @t337))) % 45.25/45.44 (assume @p172 (forall @t79 (=> @t306 @t338))) % 45.25/45.44 (assume @p173 (forall @t79 (=> @t305 @t338))) % 45.25/45.44 (assume @p174 (forall @t71 (=> @t306 @t340))) % 45.25/45.44 (assume @p175 (forall @t71 (=> @t313 @t340))) % 45.25/45.44 (assume @p176 (forall @t71 (=> @t306 @t341))) % 45.25/45.44 (assume @p177 (forall @t71 (=> @t313 @t341))) % 45.25/45.44 (assume @p178 (forall @t109 (=> @t344 (= @t103 (= @t343 @t49))))) % 45.25/45.44 (assume @p179 (forall @t109 (=> @t347 (= @t103 (= @t346 @t99))))) % 45.25/45.44 (assume @p180 (forall @t351 (=> @t344 (= (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP (tptp.hAPP @t294 @t99) @t348))) @t350)))) % 45.25/45.44 (assume @p181 (forall @t351 (=> @t347 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t346) @t348)) @t353)))) % 45.25/45.44 (assume @p182 (forall @t356 (=> @t305 (=> @t355 @t354)))) % 45.25/45.44 (assume @p183 (forall @t358 (=> @t305 (=> @t357 @t354)))) % 45.25/45.44 (assume @p184 (forall @t362 (=> @t313 (=> @t361 @t360)))) % 45.25/45.44 (assume @p185 (forall @t364 (=> @t313 (=> @t363 @t360)))) % 45.25/45.44 (assume @p186 (forall @t71 (=> @t313 (=> @t69 (= @t264 @t34))))) % 45.25/45.44 (assume @p187 (forall @t71 (=> @t305 (=> @t69 (= @t267 @t66))))) % 45.25/45.44 (assume @p188 (forall @t79 (=> @t313 (=> @t68 (= @t264 @t66))))) % 45.25/45.44 (assume @p189 (forall @t79 (=> @t305 (=> @t68 (= @t267 @t34))))) % 45.25/45.44 (assume @p190 (forall @t356 (=> @t313 (=> @t355 (=> @t357 @t365))))) % 45.25/45.44 (assume @p191 (forall @t82 (=> @t313 (=> @t69 (=> @t80 (tptp.hBOOL (tptp.hAPP @t37 @t298))))))) % 45.25/45.44 (assume @p192 (forall @t362 (=> @t305 (=> @t361 (=> @t363 @t367))))) % 45.25/45.44 (assume @p193 (forall @t77 (=> @t305 (=> @t68 (=> @t74 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t302) @t34))))))) % 45.25/45.44 (assume @p194 (forall @t370 (=> @t313 (=> @t93 (=> @t369 (tptp.hBOOL (tptp.hAPP @t359 (tptp.hAPP (tptp.hAPP @t262 @t84) @t368)))))))) % 45.25/45.44 (assume @p195 (forall @t370 (=> @t305 (=> @t93 (=> @t369 (tptp.hBOOL (tptp.hAPP @t366 (tptp.hAPP (tptp.hAPP @t260 @t84) @t368)))))))) % 45.25/45.44 (assume @p196 (forall @t356 (=> @t313 (=> @t365 @t371)))) % 45.25/45.44 (assume @p197 (forall @t373 (=> @t305 (=> @t367 @t372)))) % 45.25/45.44 (assume @p198 (forall @t109 (=> (tptp.class_Lattices_Obounded__lattice__bot @t10) (= (= @t346 @t145) (and (= @t49 @t145) (= @t99 @t145)))))) % 45.25/45.44 (assume @p199 (forall @t39 (=> @t374 (= (tptp.hAPP @t266 @t141) @t34)))) % 45.25/45.44 (assume @p200 (forall @t39 (=> @t374 (= (tptp.hAPP @t263 @t141) @t141)))) % 45.25/45.44 (assume @p201 (forall @t39 (=> @t374 (= (tptp.hAPP (tptp.hAPP @t260 @t141) @t34) @t34)))) % 45.25/45.44 (assume @p202 (forall @t39 (=> @t374 (= (tptp.hAPP (tptp.hAPP @t262 @t141) @t34) @t141)))) % 45.25/45.44 (assume @p203 (forall @t33 (= (tptp.hAPP @t184 @t256) (tptp.hAPP @t375 @t198)))) % 45.25/45.44 (assume @p204 (forall @t33 (= (tptp.hAPP @t184 @t251) (tptp.hAPP @t376 @t198)))) % 45.25/45.44 (assume @p205 (forall @t109 (=> (tptp.class_Lattices_Obounded__lattice__top @t10) (= (= @t343 @t148) (and (= @t49 @t148) (= @t99 @t148)))))) % 45.25/45.44 (assume @p206 (forall @t39 (=> @t377 (= (tptp.hAPP @t263 @t140) @t34)))) % 45.25/45.44 (assume @p207 (forall @t39 (=> @t377 (= (tptp.hAPP @t266 @t140) @t140)))) % 45.25/45.44 (assume @p208 (forall @t39 (=> @t377 (= (tptp.hAPP (tptp.hAPP @t262 @t140) @t34) @t34)))) % 45.25/45.44 (assume @p209 (forall @t39 (=> @t377 (= (tptp.hAPP (tptp.hAPP @t260 @t140) @t34) @t140)))) % 45.25/45.44 (assume @p210 (forall @t33 (= (tptp.hAPP @t156 @t256) (tptp.hAPP (tptp.hAPP @t335 @t158) @t157)))) % 45.25/45.44 (assume @p211 (forall @t33 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t259) (tptp.hAPP (tptp.hAPP @t246 @t167) @t166)))) % 45.25/45.44 (assume @p212 (forall @t71 (=> @t215 (=> (= @t264 @t141) (=> (= @t267 @t140) (= @t220 @t66)))))) % 45.25/45.44 (assume @p213 (forall @t33 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP (tptp.hAPP @t239 @t167) @t166)) (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t336))))) % 45.25/45.44 (assume @p214 (forall @t378 (= (tptp.hAPP (tptp.hAPP @t239 @t142) @t24) @t24))) % 45.25/45.44 (assume @p215 (forall @t53 (= (tptp.hAPP @t250 @t142) @t25))) % 45.25/45.44 (assume @p216 (forall @t33 (= (= @t251 @t142) (and @t151 @t379)))) % 45.25/45.44 (assume @p217 (forall @t378 (= (tptp.hAPP (tptp.hAPP @t246 @t142) @t24) @t142))) % 45.25/45.44 (assume @p218 (forall @t53 (= (tptp.hAPP @t255 @t142) @t142))) % 45.25/45.44 (assume @p219 (forall @t33 (= @t385 (forall @t7 (=> @t205 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 @t24)) @t382))))))) % 45.25/45.44 (assume @p220 (forall @t390 (= (= (tptp.hAPP (tptp.hAPP @t246 @t389) @t25) @t142) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t388 @t62)) (= (tptp.hAPP @t386 @t25) @t142)))))) % 45.25/45.44 (assume @p221 (forall @t33 (tptp.hBOOL (tptp.hAPP @t31 @t251)))) % 45.25/45.44 (assume @p222 (forall @t169 (tptp.hBOOL (tptp.hAPP @t29 @t251)))) % 45.25/45.44 (assume @p223 (forall @t33 (= @t32 @t391))) % 45.25/45.44 (assume @p224 (forall @t33 (=> @t32 @t391))) % 45.25/45.44 (assume @p225 (forall @t169 (=> @t30 (= @t251 @t25)))) % 45.25/45.44 (assume @p226 (forall @t393 (=> @t63 (=> @t64 (tptp.hBOOL (tptp.hAPP @t392 @t62)))))) % 45.25/45.44 (assume @p227 (forall @t396 (=> @t63 (=> @t395 (tptp.hBOOL (tptp.hAPP @t392 (tptp.hAPP @t284 @t394))))))) % 45.25/45.44 (assume @p228 (forall @t53 (= (tptp.hAPP @t250 @t143) @t143))) % 45.25/45.44 (assume @p229 (forall @t378 (= (tptp.hAPP (tptp.hAPP @t239 @t143) @t24) @t143))) % 45.25/45.44 (assume @p230 (forall @t33 (tptp.hBOOL (tptp.hAPP @t397 @t25)))) % 45.25/45.44 (assume @p231 (forall @t33 (tptp.hBOOL (tptp.hAPP @t397 @t24)))) % 45.25/45.44 (assume @p232 (forall @t33 (=> @t32 (= @t256 @t25)))) % 45.25/45.44 (assume @p233 (forall @t169 (=> @t30 (= @t256 @t24)))) % 45.25/45.44 (assume @p234 (forall @t398 (=> @t334 (=> (tptp.hBOOL (tptp.hAPP @t333 @t24)) (tptp.hBOOL (tptp.hAPP @t333 @t256)))))) % 45.25/45.44 (assume @p235 (forall @t396 (=> @t63 (=> @t395 (tptp.hBOOL (tptp.hAPP @t397 (tptp.hAPP @t281 @t394))))))) % 45.25/45.44 (assume @p236 (forall @t53 (= (tptp.hAPP @t255 @t143) @t25))) % 45.25/45.44 (assume @p237 (forall @t378 (= (tptp.hAPP (tptp.hAPP @t246 @t143) @t24) @t24))) % 45.25/45.44 (assume @p238 (forall @t33 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 (tptp.hAPP @t399 @t157)) (tptp.hAPP @t156 @t251))))) % 45.25/45.44 (assume @p239 (forall @t39 (=> @t215 (= (tptp.hAPP @t263 @t220) @t141)))) % 45.25/45.44 (assume @p240 (forall @t39 (=> @t215 (= (tptp.hAPP @t265 @t34) @t141)))) % 45.25/45.44 (assume @p241 (forall @t39 (=> @t215 (= (tptp.hAPP @t266 @t220) @t140)))) % 45.25/45.44 (assume @p242 (forall @t39 (=> @t215 (= (tptp.hAPP @t261 @t34) @t140)))) % 45.25/45.44 (assume @p243 (forall @t408 (=> @t116 (=> @t407 (=> @t406 (= (tptp.hAPP @t405 @t403) @t401)))))) % 45.25/45.44 (assume @p244 (forall @t408 (=> @t107 (= (tptp.hAPP @t409 @t403) @t142)))) % 45.25/45.44 (assume @p245 (forall @t53 (= (tptp.hAPP @t255 @t199) @t142))) % 45.25/45.44 (assume @p246 (forall @t53 (= (tptp.hAPP @t376 @t25) @t142))) % 45.25/45.44 (assume @p247 (forall @t53 (= (tptp.hAPP @t375 @t25) @t143))) % 45.25/45.44 (assume @p248 (forall @t53 (= (tptp.hAPP @t250 @t199) @t143))) % 45.25/45.44 (assume @p249 (forall @t408 (=> @t116 (=> @t407 (=> @t406 (= (tptp.hAPP @t412 @t410) @t245)))))) % 45.25/45.44 (assume @p250 (forall @t408 (=> @t107 (= (tptp.hAPP @t413 @t410) @t142)))) % 45.25/45.44 (assume @p251 (forall @t408 (=> @t116 (=> @t407 (=> @t406 (= (tptp.hAPP @t405 @t414) @t238)))))) % 45.25/45.44 (assume @p252 (forall @t33 (= @t385 (tptp.hBOOL (tptp.hAPP @t31 @t198))))) % 45.25/45.44 (assume @p253 (forall @t408 (=> @t107 (= (tptp.hAPP @t409 @t414) @t142)))) % 45.25/45.44 (assume @p254 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t244 @t401) @t415))))) % 45.25/45.44 (assume @p255 (forall @t408 (=> @t116 (=> @t407 (=> @t406 (= (tptp.hAPP @t417 @t410) @t238)))))) % 45.25/45.44 (assume @p256 (forall @t241 (=> @t107 (= (tptp.hAPP @t418 @t238) @t142)))) % 45.25/45.44 (assume @p257 (forall @t241 (=> @t107 (= (tptp.hAPP @t418 @t401) @t142)))) % 45.25/45.44 (assume @p258 (forall @t408 (=> @t107 (= (tptp.hAPP @t419 @t410) @t142)))) % 45.25/45.44 (assume @p259 (forall @t408 (=> @t107 (= (tptp.hAPP @t419 @t420) @t142)))) % 45.25/45.44 (assume @p260 (forall @t408 (=> @t107 (= (tptp.hAPP @t422 @t414) @t142)))) % 45.25/45.44 (assume @p261 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t424 @t423) @t235))))) % 45.25/45.44 (assume @p262 (forall @t408 (=> @t107 (= (tptp.hAPP @t422 @t403) @t142)))) % 45.25/45.44 (assume @p263 (forall @t241 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t246 @t401) @t423) @t142)))) % 45.25/45.44 (assume @p264 (forall @t241 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t246 @t238) @t237) @t142)))) % 45.25/45.44 (assume @p265 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t426 @t245) @t242))))) % 45.25/45.44 (assume @p266 (forall @t241 (=> @t107 (= (tptp.hAPP @t427 @t245) @t142)))) % 45.25/45.44 (assume @p267 (forall @t241 (=> @t107 (= (tptp.hAPP @t427 @t428) @t142)))) % 45.25/45.44 (assume @p268 (forall @t408 (=> @t107 (= (tptp.hAPP @t413 @t420) @t142)))) % 45.25/45.44 (assume @p269 (forall @t109 (=> @t228 (= (= @t227 @t226) @t100)))) % 45.25/45.44 (assume @p270 (forall @t213 (=> @t430 (= (= @t229 @t230) @t429)))) % 45.25/45.44 (assume @p271 (forall @t213 (=> @t430 (= (= @t229 @t171) (= @t230 @t153))))) % 45.25/45.44 (assume @p272 (forall @t213 (=> @t430 (= @t431 (= @t171 @t229))))) % 45.25/45.44 (assume @p273 (forall @t39 (=> @t215 (= (tptp.hAPP @t214 @t220) @t34)))) % 45.25/45.44 (assume @p274 (forall @t331 (=> @t432 (= (tptp.hAPP @t214 @t222) @t83)))) % 45.25/45.44 (assume @p275 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP (tptp.hAPP @t239 @t245) @t237) @t433))))) % 45.25/45.44 (assume @p276 (forall @t241 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t246 @t428) @t423) @t142)))) % 45.25/45.44 (assume @p277 (forall @t408 (=> @t116 (=> @t437 (=> @t406 (= (tptp.hAPP @t434 @t414) @t245)))))) % 45.25/45.44 (assume @p278 (forall @t408 (=> @t116 (=> @t407 (=> @t439 (= (tptp.hAPP @t417 @t420) @t401)))))) % 45.25/45.44 (assume @p279 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t441 @t245) @t238))))) % 45.25/45.44 (assume @p280 (forall @t241 (=> @t116 (=> @t240 (= (tptp.hAPP @t424 @t442) @t238))))) % 45.25/45.44 (assume @p281 (forall @t241 (=> @t116 (=> @t444 (= (tptp.hAPP @t443 @t423) @t433))))) % 45.25/45.44 (assume @p282 (forall @t241 (=> @t116 (=> @t444 (= (tptp.hAPP @t426 @t428) @t415))))) % 45.25/45.44 (assume @p283 (forall (@list @t159 @t10) (=> @t116 (= (tptp.hAPP @t441 @t433) @t235)))) % 45.25/45.44 (assume @p284 (forall @t408 (=> @t116 (=> @t407 (=> @t439 (= (tptp.hAPP @t412 @t420) @t428)))))) % 45.25/45.44 (assume @p285 (forall @t446 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP @t129 @t445)) (tptp.hAPP @t126 @t445)) (tptp.hAPP (tptp.hAPP @t440 @t445) @t142))))) % 45.25/45.44 (assume @p286 (forall (@list @t236 @t10) (=> @t116 (= (tptp.hAPP (tptp.hAPP @t239 @t415) @t442) @t242)))) % 45.25/45.44 (assume @p287 (forall @t408 (=> @t116 (=> @t437 (=> @t406 (= (tptp.hAPP @t434 @t403) @t428)))))) % 45.25/45.44 (assume @p288 (forall @t71 (=> @t70 (=> @t453 (=> @t450 @t449))))) % 45.25/45.44 (assume @p289 (forall @t71 (=> @t38 (=> @t452 (not @t449))))) % 45.25/45.44 (assume @p290 (forall @t77 (=> @t76 (=> @t449 @t456)))) % 45.25/45.44 (assume @p291 (forall @t82 (=> @t38 (=> @t452 @t458)))) % 45.25/45.44 (assume @p292 (forall @t91 (=> @t76 (=> @t462 (=> @t88 @t460))))) % 45.25/45.44 (assume @p293 (forall @t96 (=> @t95 (=> @t465 (=> @t88 @t464))))) % 45.25/45.44 (assume @p294 (forall @t96 (=> @t76 (=> @t97 (=> (tptp.hBOOL (tptp.hAPP @t459 @t87)) @t460))))) % 45.25/45.44 (assume @p295 (forall @t96 (=> @t95 (=> @t97 (=> @t466 @t464))))) % 45.25/45.44 (assume @p296 (forall @t467 (=> @t76 (=> @t462 (not @t465))))) % 45.25/45.44 (assume @p297 (forall @t225 (=> @t38 (=> @t465 (not @t462))))) % 45.25/45.44 (assume @p298 (forall @t71 (=> @t76 (=> @t452 @t468)))) % 45.25/45.44 (assume @p299 (forall @t71 (=> @t76 (=> @t452 @t450)))) % 45.25/45.44 (assume @p300 (forall @t71 (=> @t70 @t469))) % 45.25/45.44 (assume @p301 (forall @t108 (=> @t116 (=> (not @t475) @t473)))) % 45.25/45.44 (assume @p302 (forall (@list @t49 @t25 @t99 @t10) (= (tptp.hBOOL (tptp.hAPP @t478 @t49)) (or @t476 @t249)))) % 45.25/45.44 (assume @p303 (forall @t481 (= (tptp.hAPP @t479 @t478) (tptp.hAPP @t477 @t480)))) % 45.25/45.44 (assume @p304 (forall @t482 (= (tptp.hAPP @t479 @t480) @t480))) % 45.25/45.44 (assume @p305 (forall @t71 (=> @t70 (or @t452 @t78 @t449)))) % 45.25/45.44 (assume @p306 (forall @t109 (=> @t116 (= @t472 (or @t475 @t100))))) % 45.25/45.44 (assume @p307 (forall @t109 (=> @t116 (= @t483 (or @t471 @t475))))) % 45.25/45.44 (assume @p308 (forall @t39 (=> @t38 (not (tptp.hBOOL (tptp.hAPP @t451 @t34)))))) % 45.25/45.44 (assume @p309 (forall @t485 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t484 (tptp.hAPP @t123 @t402)) (tptp.hAPP @t123 @t445))) (tptp.hBOOL (tptp.hAPP @t438 @t445)))))) % 45.25/45.44 (assume @p310 (forall @t181 (=> @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t484 @t192) @t191)) (and (or @t190 (and @t176 @t173 (or (tptp.hBOOL (tptp.hAPP @t488 @t153)) (tptp.hBOOL (tptp.hAPP @t487 @t170))))) @t486))))) % 45.25/45.44 (assume @p311 (forall @t48 (=> @t47 (= @t489 (and @t46 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t45 @t1) @t2)))))))) % 45.25/45.44 (assume @p312 (forall @t77 (=> @t76 (=> @t68 @t456)))) % 45.25/45.44 (assume @p313 (forall @t82 (=> @t38 (=> @t69 @t458)))) % 45.25/45.44 (assume @p314 (forall @t77 (=> @t76 (=> @t449 (=> @t75 @t455))))) % 45.25/45.44 (assume @p315 (forall @t82 (=> @t38 (=> @t452 (=> @t81 @t457))))) % 45.25/45.44 (assume @p316 (forall @t467 (=> @t76 (=> @t90 (=> @t490 @t462))))) % 45.25/45.44 (assume @p317 (forall @t225 (=> @t76 (=> @t94 (=> @t490 @t465))))) % 45.25/45.44 (assume @p318 (forall @t71 (=> @t76 (=> @t69 (or @t452 @t78))))) % 45.25/45.44 (assume @p319 (forall @t109 (=> @t116 (=> @t103 @t473)))) % 45.25/45.44 (assume @p320 (forall @t71 (=> @t38 (=> @t452 @t69)))) % 45.25/45.44 (assume @p321 (forall @t79 (=> @t70 (=> @t68 @t453)))) % 45.25/45.44 (assume @p322 (forall @t225 (=> @t76 (=> @t490 (=> @t90 @t462))))) % 45.25/45.44 (assume @p323 (forall @t225 (=> @t76 (=> @t490 (=> @t94 @t465))))) % 45.25/45.44 (assume @p324 (forall @t109 (=> @t116 (=> @t472 @t104)))) % 45.25/45.44 (assume @p325 (forall @t79 (=> @t70 (=> (not @t68) @t452)))) % 45.25/45.44 (assume @p326 (forall @t71 (=> @t70 (=> @t453 @t68)))) % 45.25/45.44 (assume @p327 (forall @t109 (=> @t107 (= @t103 (or @t471 @t100))))) % 45.25/45.44 (assume @p328 (forall @t109 (=> (tptp.class_Orderings_Opreorder @t10) (= @t471 (and @t103 (not @t106)))))) % 45.25/45.44 (assume @p329 (forall @t109 (=> @t107 (= @t471 (and @t103 @t483))))) % 45.25/45.44 (assume @p330 (forall @t71 (=> @t70 (or @t69 @t449)))) % 45.25/45.44 (assume @p331 (forall @t109 (=> @t116 (= (not @t103) @t475)))) % 45.25/45.44 (assume @p332 (forall @t109 (=> @t116 (= @t472 @t106)))) % 45.25/45.44 (assume @p333 (forall @t213 (=> (= @t494 @t492) @t429))) % 45.25/45.44 (assume @p334 (forall @t181 (= (= @t500 (tptp.hAPP @t499 (tptp.hAPP (tptp.hAPP @t440 @t170) @t142))) (or @t498 (and (= @t153 @t170) @t495))))) % 45.25/45.44 (assume @p335 (forall @t502 (not (= @t501 @t142)))) % 45.25/45.44 (assume @p336 (forall @t502 (not (= @t142 @t501)))) % 45.25/45.44 (assume @p337 (forall (@list @t153 @t394 @t62 @t10) (=> (tptp.hBOOL (tptp.hAPP @t333 @t394)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t493 @t62)) (tptp.hAPP @t493 @t394)))))) % 45.25/45.44 (assume @p338 (forall (@list @t171 @t24 @t25 @t10) (=> @t32 (tptp.hBOOL (tptp.hAPP @t31 @t503))))) % 45.25/45.44 (assume @p339 (forall (@list @t153 @t24 @t10) (tptp.hBOOL (tptp.hAPP @t29 @t504)))) % 45.25/45.44 (assume @p340 (forall @t53 (not (tptp.hBOOL (tptp.hAPP @t505 @t142))))) % 45.25/45.44 (assume @p341 (forall (@list @t62 @t24 @t153 @t10) (= (tptp.hAPP (tptp.hAPP @t239 @t504) @t62) (tptp.hAPP @t493 @t276)))) % 45.25/45.44 (assume @p342 (forall @t506 (= (tptp.hAPP @t250 @t504) (tptp.hAPP @t493 @t251)))) % 45.25/45.44 (assume @p343 (forall @t508 (= (tptp.hAPP (tptp.hAPP @t246 @t501) @t504) @t507))) % 45.25/45.44 (assume @p344 (forall @t356 (=> @t305 (=> @t510 @t509)))) % 45.25/45.44 (assume @p345 (forall @t358 (=> @t305 (=> @t511 @t509)))) % 45.25/45.44 (assume @p346 (forall @t362 (=> @t313 (=> @t513 @t512)))) % 45.25/45.44 (assume @p347 (forall @t364 (=> @t313 (=> @t514 @t512)))) % 45.25/45.44 (assume @p348 (forall @t213 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t515 @t230)) (tptp.hBOOL (tptp.hAPP @t487 @t229)))))) % 45.25/45.44 (assume @p349 (forall @t213 (=> @t232 (= @t518 (tptp.hBOOL (tptp.hAPP @t516 @t153)))))) % 45.25/45.44 (assume @p350 (forall @t187 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t516 @t229)) @t519)))) % 45.25/45.44 (assume @p351 (forall @t65 (=> @t32 @t521))) % 45.25/45.44 (assume @p352 (forall @t65 (=> @t522 (=> @t64 @t520)))) % 45.25/45.44 (assume @p353 (forall @t33 (=> @t522 @t32))) % 45.25/45.44 (assume @p354 (forall @t33 (= @t32 (or @t522 @t26)))) % 45.25/45.44 (assume @p355 (forall @t33 (= @t522 (and @t32 (not @t26))))) % 45.25/45.44 (assume @p356 (forall @t181 (=> @t116 (=> @t524 (=> @t519 (=> @t523 @t496)))))) % 45.25/45.44 (assume @p357 (forall @t181 (=> @t116 (=> @t524 (=> @t519 (=> @t523 @t497)))))) % 45.25/45.44 (assume @p358 (forall @t181 (=> @t116 (=> @t519 (=> @t523 (= @t524 @t498)))))) % 45.25/45.44 (assume @p359 (forall (@list @t525 @t153 @t10) (=> @t527 (= (tptp.hBOOL (tptp.hAPP @t515 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t525))) (exists @t7 (and @t526 (tptp.hBOOL (tptp.hAPP @t515 @t3)))))))) % 45.25/45.44 (assume @p360 (forall (@list @t153 @t525 @t10) (=> @t527 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t525)) @t153)) (exists @t7 (and @t526 (tptp.hBOOL (tptp.hAPP @t528 @t153)))))))) % 45.25/45.44 (assume @p361 (forall @t119 (=> @t531 (=> @t115 (=> @t471 @t530))))) % 45.25/45.44 (assume @p362 (forall @t119 (=> @t118 (=> @t115 (= @t530 @t471))))) % 45.25/45.44 (assume @p363 (forall @t241 (=> @t116 (=> @t444 (= (tptp.hAPP @t441 @t428) @t401))))) % 45.25/45.44 (assume @p364 (forall @t533 (=> (tptp.hBOOL (tptp.hAPP @t31 @t532)) (or @t151 (= @t25 @t532))))) % 45.25/45.44 (assume @p365 (forall @t502 (= @t501 (tptp.hAPP (tptp.hAPP @t239 @t494) @t25)))) % 45.25/45.44 (assume @p366 (forall @t241 (=> @t116 (=> @t444 (= (tptp.hAPP @t443 @t442) @t245))))) % 45.25/45.44 (assume @p367 (forall @t154 (=> @t107 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t153 @t153) @t494)))) % 45.25/45.44 (assume @p368 (forall @t534 (=> @t107 (= (= @t192 (tptp.hAPP @t499 @t142)) (and @t429 @t495))))) % 45.25/45.44 (assume @p369 (forall @t213 (=> @t107 (=> @t429 (= @t192 @t494))))) % 45.25/45.44 (assume @p370 (forall @t154 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t494) @t153)))) % 45.25/45.44 (assume @p371 (forall @t502 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t501) (tptp.hAPP @t535 @t207))))) % 45.25/45.44 (assume @p372 (forall @t187 (=> @t107 (=> @t536 @t212)))) % 45.25/45.44 (assume @p373 (forall @t213 (=> @t107 (= (= @t142 @t180) @t537)))) % 45.25/45.44 (assume @p374 (forall @t213 (=> @t107 (= @t186 @t537)))) % 45.25/45.44 (assume @p375 (forall @t154 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t494) @t153)))) % 45.25/45.44 (assume @p376 (forall @t502 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t501) (tptp.hAPP @t538 @t210))))) % 45.25/45.44 (assume @p377 (forall @t541 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t540) (tptp.hAPP (tptp.hAPP @t239 @t153) @t211)))) % 45.25/45.44 (assume @p378 (forall @t544 (=> @t107 (= (= @t142 @t164) @t543)))) % 45.25/45.44 (assume @p379 (forall @t544 (=> @t107 (= @t165 @t543)))) % 45.25/45.44 (assume @p380 (forall @t541 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t540) (tptp.hAPP (tptp.hAPP @t246 @t153) @t166)))) % 45.25/45.44 (assume @p381 (forall (@list @t8 @t545 @t9 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t546 @t152)) (=> @t11 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t546 @t8)))))) % 45.25/45.44 (assume @p382 (forall @t213 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t500) @t547)))) % 45.25/45.44 (assume @p383 (forall @t213 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t500) @t548)))) % 45.25/45.44 (assume @p384 (forall @t33 (= @t251 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t549)))) % 45.25/45.44 (assume @p385 (forall @t144 (= (tptp.hAPP @t156 @t142) (tptp.hAPP (tptp.hAPP @t539 @t142) @t196)))) % 45.25/45.44 (assume @p386 (forall @t33 (= @t256 (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t549)))) % 45.25/45.44 (assume @p387 (forall @t195 (= (tptp.c_Set_Othe__elem @t10 @t532) @t49))) % 45.25/45.44 (assume @p388 (forall @t502 (= (tptp.hAPP @t156 @t501) (tptp.hAPP @t399 (tptp.hAPP (tptp.c_Set_Oimage @t27 @t27 @t493) @t158))))) % 45.25/45.44 (assume @p389 (forall @t39 (=> @t306 @t332))) % 45.25/45.44 (assume @p390 (forall @t39 (=> @t306 @t330))) % 45.25/45.44 (assume @p391 (forall @t71 (=> @t550 @t469))) % 45.25/45.44 (assume @p392 (forall @t534 (=> @t116 (= (tptp.hAPP @t554 (tptp.hAPP @t126 @t174)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t553 @t171))))) % 45.25/45.44 (assume @p393 (forall (@list @t170 @t174 @t153 @t10) (=> @t116 (= (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP @t126 @t153)) @t191) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t553 @t170))))) % 45.25/45.44 (assume @p394 (forall @t195 (=> @t232 (= (tptp.hAPP @t555 @t131) (tptp.hAPP @t126 @t227))))) % 45.25/45.44 (assume @p395 (forall @t195 (=> @t232 (= (tptp.hAPP @t555 @t128) (tptp.hAPP @t129 @t227))))) % 45.25/45.44 (assume @p396 (forall @t195 (=> @t232 (= (tptp.hAPP @t555 @t125) (tptp.hAPP @t120 @t227))))) % 45.25/45.44 (assume @p397 (forall @t65 (=> @t522 @t521))) % 45.25/45.44 (assume @p398 (forall @t39 (=> @t70 (= (tptp.hAPP @t557 @t34) @t34)))) % 45.25/45.44 (assume @p399 (forall @t331 (=> @t70 (= (tptp.hAPP @t558 @t83) @t83)))) % 45.25/45.44 (assume @p400 (forall @t225 (=> @t70 (= @t560 (tptp.hAPP @t559 @t83))))) % 45.25/45.44 (assume @p401 (forall @t71 (=> @t70 (= @t563 @t562)))) % 45.25/45.44 (assume @p402 (forall @t225 (=> @t70 (= (tptp.hAPP @t558 @t560) @t560)))) % 45.25/45.44 (assume @p403 (forall @t71 (=> @t70 (= (tptp.hAPP @t557 @t563) @t563)))) % 45.25/45.44 (assume @p404 (forall @t91 (=> @t70 (= (tptp.hAPP @t559 (tptp.hAPP @t558 @t84)) @t564)))) % 45.25/45.44 (assume @p405 (forall @t82 (=> @t70 (= @t567 (tptp.hAPP @t561 @t565))))) % 45.25/45.44 (assume @p406 (forall @t96 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t556 @t560) @t84) @t564)))) % 45.25/45.44 (assume @p407 (forall @t82 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t556 @t563) @t72) @t567)))) % 45.25/45.44 (assume @p408 (forall @t572 (=> (= @t571 @t24) (= @t570 @t157)))) % 45.25/45.44 (assume @p409 (forall @t575 (= (= @t142 @t571) @t574))) % 45.25/45.44 (assume @p410 (forall @t576 (= (tptp.hAPP @t568 @t573) @t142))) % 45.25/45.44 (assume @p411 (forall @t577 (= (= @t571 @t142) @t574))) % 45.25/45.44 (assume @p412 (forall (@list @t24 @t153 @t2 @t10 @t40) (= (tptp.hAPP @t568 @t582) (tptp.hAPP (tptp.hAPP @t440 @t579) @t578)))) % 45.25/45.44 (assume @p413 (forall @t71 (=> @t70 (tptp.hBOOL (tptp.hAPP @t37 @t563))))) % 45.25/45.44 (assume @p414 (forall @t79 (=> @t70 (tptp.hBOOL (tptp.hAPP @t67 @t563))))) % 45.25/45.44 (assume @p415 (forall @t109 (=> @t116 (= @t103 (= @t584 @t99))))) % 45.25/45.44 (assume @p416 (forall @t351 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t584) @t348)) @t353)))) % 45.25/45.44 (assume @p417 (forall @t356 (=> @t70 (=> @t355 @t585)))) % 45.25/45.44 (assume @p418 (forall @t358 (=> @t70 (=> @t357 @t585)))) % 45.25/45.44 (assume @p419 (forall @t71 (=> @t70 (=> @t69 (= @t563 @t66))))) % 45.25/45.44 (assume @p420 (forall @t79 (=> @t70 (=> @t68 (= @t563 @t34))))) % 45.25/45.44 (assume @p421 (forall @t362 (=> @t70 (=> @t361 (=> @t363 @t587))))) % 45.25/45.44 (assume @p422 (forall @t77 (=> @t70 (=> @t68 (=> @t74 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t566) @t34))))))) % 45.25/45.44 (assume @p423 (forall @t370 (=> @t70 (=> @t93 (=> @t369 (tptp.hBOOL (tptp.hAPP @t586 (tptp.hAPP (tptp.hAPP @t556 @t84) @t368)))))))) % 45.25/45.44 (assume @p424 (forall @t373 (=> @t70 (=> @t587 @t372)))) % 45.25/45.44 (assume @p425 (forall @t589 (=> @t116 (= (tptp.hBOOL (tptp.hAPP @t588 @t584)) (or (tptp.hBOOL (tptp.hAPP @t588 @t49)) (tptp.hBOOL (tptp.hAPP @t588 @t99))))))) % 45.25/45.44 (assume @p426 (forall @t589 (=> @t116 (= (tptp.hBOOL (tptp.hAPP @t590 @t584)) (or @t592 @t591))))) % 45.25/45.44 (assume @p427 (forall @t351 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t584) @t348)) (and @t594 @t593))))) % 45.25/45.44 (assume @p428 (forall @t356 (=> @t70 (=> @t510 @t595)))) % 45.25/45.44 (assume @p429 (forall @t358 (=> @t70 (=> @t511 @t595)))) % 45.25/45.44 (assume @p430 (forall @t599 (= @t598 (exists (@list @t596) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t596) @t25)) (= @t24 (tptp.hAPP @t568 @t596))))))) % 45.25/45.44 (assume @p431 (forall @t605 (=> @t32 @t604))) % 45.25/45.44 (assume @p432 (forall @t572 (= (tptp.hAPP @t568 @t608) (tptp.hAPP (tptp.hAPP @t239 @t571) @t578)))) % 45.25/45.44 (assume @p433 (forall @t144 (=> (and @t347 @t116) (= @t291 @t551)))) % 45.25/45.44 (assume @p434 (forall @t609 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t571) @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t570) @t157))))) % 45.25/45.44 (assume @p435 (forall @t609 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t568 @t612)) (tptp.hAPP (tptp.hAPP @t246 @t571) @t578))))) % 45.25/45.44 (assume @p436 (forall @t109 (=> @t232 (= (tptp.hAPP @t555 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t49 @t99)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t226 @t227))))) % 45.25/45.44 (assume @p437 (forall @t109 (=> @t232 (= (tptp.hAPP @t555 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t49 @t99)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t226 @t227))))) % 45.25/45.44 (assume @p438 (forall @t109 (=> @t232 (= (tptp.hAPP @t555 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t49) @t99)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t226 @t227))))) % 45.25/45.44 (assume @p439 (forall @t109 (=> @t232 (= (tptp.hAPP @t555 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t49 @t99)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t226) @t227))))) % 45.25/45.44 (assume @p440 (forall @t195 (=> @t232 (= (tptp.hAPP @t555 @t122) (tptp.hAPP @t123 @t227))))) % 45.25/45.44 (assume @p441 (forall @t577 (=> @t617 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t184 @t571)) (tptp.hAPP @t568 @t614)))))) % 45.25/45.44 (assume @p442 (forall @t53 (not (exists @t619 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t27 @t618) @t25) @t158))))) % 45.25/45.44 (assume @p443 (forall @t144 (=> @t620 (= @t551 (tptp.c_Orderings_Oord_Omax @t10 @t101))))) % 45.25/45.44 (assume @p444 (forall @t572 (=> (and @t626 @t116) (=> @t625 (tptp.hBOOL (tptp.hAPP @t624 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t551 @t25) @t24)))))))) % 45.25/45.44 (assume @p445 (forall @t195 (=> @t116 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t532) @t49)))) % 45.25/45.44 (assume @p446 (forall (@list @t170 @t174 @t171 @t10) (=> @t116 (= (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP @t129 @t171)) @t191) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t174 @t629))))) % 45.25/45.44 (assume @p447 (forall (@list @t170 @t171 @t153 @t10) (=> @t116 (= (tptp.hAPP @t554 (tptp.hAPP @t129 @t170)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t153 @t629))))) % 45.25/45.44 (assume @p448 (forall @t181 (=> @t116 (= (tptp.hAPP (tptp.hAPP @t246 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t153 @t171)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t174 @t170)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t553 @t629))))) % 45.25/45.44 (assume @p449 (forall @t576 (=> @t531 (=> (forall @t633 (=> (tptp.hBOOL (tptp.hAPP @t528 @t630)) (tptp.hBOOL (tptp.hAPP @t632 @t631)))) @t115)))) % 45.25/45.44 (assume @p450 (forall @t181 (=> @t116 (= (tptp.hAPP (tptp.hAPP @t246 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t153 @t171)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t174 @t170)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t553 @t629))))) % 45.25/45.44 (assume @p451 (forall @t39 (=> @t70 (= (tptp.hAPP @t635 @t34) @t34)))) % 45.25/45.44 (assume @p452 (forall @t82 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t634 @t639) @t72) @t638)))) % 45.25/45.44 (assume @p453 (forall @t96 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t634 @t643) @t84) @t642)))) % 45.25/45.44 (assume @p454 (forall @t82 (=> @t70 (= @t638 (tptp.hAPP @t636 @t644))))) % 45.25/45.44 (assume @p455 (forall @t91 (=> @t70 (= (tptp.hAPP @t640 (tptp.hAPP @t641 @t84)) @t642)))) % 45.25/45.44 (assume @p456 (forall @t71 (=> @t70 (= (tptp.hAPP @t635 @t639) @t639)))) % 45.25/45.44 (assume @p457 (forall @t225 (=> @t70 (= (tptp.hAPP @t641 @t643) @t643)))) % 45.25/45.44 (assume @p458 (forall @t71 (=> @t70 (= @t639 @t645)))) % 45.25/45.44 (assume @p459 (forall @t225 (=> @t70 (= @t643 (tptp.hAPP @t640 @t83))))) % 45.25/45.44 (assume @p460 (forall @t331 (=> @t70 (= (tptp.hAPP @t641 @t83) @t83)))) % 45.25/45.44 (assume @p461 (forall @t650 (=> @t649 (=> @t625 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t40) @t647) @t646) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t627 @t402) @t445))))))) % 45.25/45.44 (assume @p462 (forall @t351 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t652) @t348)) (or @t349 @t352))))) % 45.25/45.44 (assume @p463 (forall @t356 (=> @t70 (=> @t653 @t371)))) % 45.25/45.44 (assume @p464 (forall @t370 (=> @t70 (=> @t93 (=> @t369 (tptp.hBOOL (tptp.hAPP @t654 (tptp.hAPP (tptp.hAPP @t634 @t84) @t368)))))))) % 45.25/45.44 (assume @p465 (forall @t82 (=> @t70 (=> @t69 (=> @t80 (tptp.hBOOL (tptp.hAPP @t37 @t637))))))) % 45.25/45.44 (assume @p466 (forall @t356 (=> @t70 (=> @t355 (=> @t357 @t653))))) % 45.25/45.44 (assume @p467 (forall @t79 (=> @t70 (=> @t68 (= @t639 @t66))))) % 45.25/45.44 (assume @p468 (forall @t71 (=> @t70 (=> @t69 (= @t639 @t34))))) % 45.25/45.44 (assume @p469 (forall @t364 (=> @t70 (=> @t363 @t655)))) % 45.25/45.44 (assume @p470 (forall @t362 (=> @t70 (=> @t361 @t655)))) % 45.25/45.44 (assume @p471 (forall @t351 (=> @t116 (= (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP (tptp.hAPP @t627 @t99) @t348))) @t350)))) % 45.25/45.44 (assume @p472 (forall @t109 (=> @t116 (= @t103 (= @t652 @t49))))) % 45.25/45.44 (assume @p473 (forall @t71 (=> @t70 (tptp.hBOOL (tptp.hAPP @t656 @t66))))) % 45.25/45.44 (assume @p474 (forall @t71 (=> @t70 (tptp.hBOOL (tptp.hAPP @t656 @t34))))) % 45.25/45.44 (assume @p475 (forall @t364 (=> @t70 (=> @t514 @t657)))) % 45.25/45.44 (assume @p476 (forall @t362 (=> @t70 (=> @t513 @t657)))) % 45.25/45.44 (assume @p477 (forall @t351 (=> @t116 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t652) @t348)) (or @t594 @t593))))) % 45.25/45.44 (assume @p478 (forall @t589 (=> @t116 (= (tptp.hBOOL (tptp.hAPP @t590 @t652)) (and @t592 @t591))))) % 45.25/45.44 (assume @p479 (forall @t572 (=> (and @t660 @t116) (=> @t625 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t627 @t25) @t24))) @t659)))))) % 45.25/45.44 (assume @p480 (forall @t144 (=> (and @t344 @t116) (= @t294 @t627)))) % 45.25/45.44 (assume @p481 (forall @t300 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t634 @t566) @t34) (tptp.hAPP (tptp.hAPP @t556 @t645) (tptp.hAPP (tptp.hAPP @t634 @t72) @t34)))))) % 45.25/45.44 (assume @p482 (forall @t300 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t556 @t637) @t34) (tptp.hAPP (tptp.hAPP @t634 @t562) (tptp.hAPP (tptp.hAPP @t556 @t72) @t34)))))) % 45.25/45.44 (assume @p483 (forall @t82 (=> @t70 (= @t662 @t661)))) % 45.25/45.44 (assume @p484 (forall @t82 (=> @t70 (= @t664 @t663)))) % 45.25/45.44 (assume @p485 (forall @t71 (=> @t70 (= (tptp.hAPP @t635 @t563) @t34)))) % 45.25/45.44 (assume @p486 (forall @t71 (=> @t70 (= (tptp.hAPP @t557 @t639) @t34)))) % 45.25/45.44 (assume @p487 (forall @t119 (=> @t531 (=> @t625 (=> @t103 @t114))))) % 45.25/45.44 (assume @p488 (forall @t650 (=> @t649 (=> @t625 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t40) @t647) @t646) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t551 @t402) @t445))))))) % 45.25/45.44 (assume @p489 (forall @t82 (=> @t70 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t661) @t662))))) % 45.25/45.44 (assume @p490 (forall @t82 (=> @t70 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t664) @t663))))) % 45.25/45.44 (assume @p491 (forall @t71 (=> @t665 (= (tptp.hAPP @t214 @t563) (tptp.hAPP (tptp.hAPP @t634 @t220) @t221))))) % 45.25/45.44 (assume @p492 (forall @t71 (=> @t665 (= (tptp.hAPP @t214 @t639) (tptp.hAPP (tptp.hAPP @t556 @t220) @t221))))) % 45.25/45.44 (assume @p493 (forall @t576 (=> @t531 (=> @t115 @t625)))) % 45.25/45.44 (assume @p494 (forall @t609 (=> @t666 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 (tptp.hAPP (tptp.hAPP @t606 @t622) @t621)) (tptp.hAPP @t2 @t251)))))) % 45.25/45.44 (assume @p495 (forall @t609 (=> @t666 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 (tptp.hAPP @t2 @t256)) (tptp.hAPP (tptp.hAPP @t610 @t622) @t621)))))) % 45.25/45.44 (assume @p496 (forall @t572 (=> (and @t626 @t347) (=> @t625 (tptp.hBOOL (tptp.hAPP @t624 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t291 @t25) @t24)))))))) % 45.25/45.44 (assume @p497 (forall @t572 (=> (and @t660 @t344) (=> @t625 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t2 (tptp.hAPP @t667 @t24))) @t659)))))) % 45.25/45.44 (assume @p498 (forall @t181 (=> @t116 (= (tptp.hAPP @t554 @t191) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t553 @t629))))) % 45.25/45.44 (assume @p499 (forall @t181 (=> @t116 (= (tptp.hAPP (tptp.hAPP @t246 @t180) @t179) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t553) @t629))))) % 45.25/45.44 (assume @p500 (forall @t144 (=> @t620 (= @t627 (tptp.c_Orderings_Oord_Omin @t10 @t101))))) % 45.25/45.44 (assume @p501 (forall @t33 (=> @t116 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t551 @t671) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t256)) @t670))))))) % 45.25/45.44 (assume @p502 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t676)))))))) % 45.25/45.44 (assume @p503 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t676))))))) % 45.25/45.44 (assume @p504 (forall @t33 (=> @t116 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t551 @t668) @t669) @t669))))))) % 45.25/45.44 (assume @p505 (forall @t533 (=> @t116 (=> @t675 @t681)))) % 45.25/45.44 (assume @p506 (forall @t575 (=> @t684 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t683) @t682))))) % 45.25/45.44 (assume @p507 (forall @t195 (=> @t116 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t532) @t49)))) % 45.25/45.44 (assume @p508 (forall @t185 (=> @t107 (= (tptp.hAPP (tptp.hAPP @t686 @t685) @t194) @t685)))) % 45.25/45.44 (assume @p509 (forall @t687 (= (tptp.c_Fun_Ooverride__on @t10 @t40 @t2 @t1 @t142) @t2))) % 45.25/45.44 (assume @p510 (forall @t688 (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t142))) % 45.25/45.44 (assume @p511 (forall @t53 (=> @t232 (tptp.c_Fun_Oinj__on @t10 @t10 @t218 @t25)))) % 45.25/45.44 (assume @p512 (forall @t575 (= @t691 (forall @t7 (=> @t205 (forall @t384 (=> @t690 (=> (= @t5 @t689) @t381)))))))) % 45.25/45.44 (assume @p513 (forall @t609 (=> @t691 (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t693)))) % 45.25/45.44 (assume @p514 (forall @t33 (= (tptp.hAPP @t694 @t24) @t693))) % 45.25/45.44 (assume @p515 (forall (@list @t49 @t24 @t25 @t40 @t10) (=> (tptp.class_Groups_Ominus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t146) @t25) @t24) @t49) (tptp.hAPP (tptp.hAPP @t695 @t217) @t247))))) % 45.25/45.44 (assume @p516 (forall @t181 (=> @t699 (=> @t698 (= @t429 @t696))))) % 45.25/45.44 (assume @p517 (forall @t704 (=> @t703 (=> @t63 (=> @t64 @t702))))) % 45.25/45.44 (assume @p518 (forall @t609 (=> @t684 @t702))) % 45.25/45.44 (assume @p519 (forall @t533 (=> @t116 (=> @t675 (and (=> @t708 (= @t707 @t49)) (=> @t709 (= @t707 @t706))))))) % 45.25/45.44 (assume @p520 (forall @t181 (=> @t232 (=> @t698 (= @t189 @t486))))) % 45.25/45.44 (assume @p521 (forall @t181 (=> @t232 (=> @t698 (= @t519 @t523))))) % 45.25/45.44 (assume @p522 (forall @t711 (=> @t710 (=> @t32 @t691)))) % 45.25/45.44 (assume @p523 (forall @t712 (=> @t684 @t150))) % 45.25/45.44 (assume @p524 (forall @t712 (=> @t684 (=> @t149 @t100)))) % 45.25/45.44 (assume @p525 (forall @t609 (=> @t691 (=> @t710 (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t256))))) % 45.25/45.44 (assume @p526 (forall @t225 (=> @t718 (= (tptp.hAPP @t214 @t717) @t715)))) % 45.25/45.44 (assume @p527 (forall @t82 (=> @t224 (= (tptp.hAPP (tptp.hAPP @t713 @t639) @t72) (tptp.hAPP (tptp.hAPP @t634 @t721) @t719))))) % 45.25/45.44 (assume @p528 (forall @t82 (=> @t224 (= (tptp.hAPP (tptp.hAPP @t713 @t563) @t72) (tptp.hAPP (tptp.hAPP @t556 @t721) @t719))))) % 45.25/45.44 (assume @p529 (forall @t53 (= (tptp.hAPP (tptp.hAPP @t686 @t142) @t25) @t142))) % 45.25/45.44 (assume @p530 (forall @t53 (= (tptp.hAPP @t692 @t142) @t25))) % 45.25/45.44 (assume @p531 (forall @t53 (= (tptp.hAPP @t692 @t25) @t142))) % 45.25/45.44 (assume @p532 (forall @t33 (tptp.hBOOL (tptp.hAPP @t722 @t25)))) % 45.25/45.44 (assume @p533 (forall (@list @t24 @t394 @t62 @t25 @t10) (=> @t63 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t394) @t24)) (tptp.hBOOL (tptp.hAPP @t722 (tptp.hAPP @t723 @t394))))))) % 45.25/45.44 (assume @p534 (forall @t65 (=> @t32 (=> @t64 (= (tptp.hAPP @t724 (tptp.hAPP @t723 @t25)) @t25))))) % 45.25/45.44 (assume @p535 (forall @t33 (= @t726 @t251))) % 45.25/45.44 (assume @p536 (forall @t169 (= (tptp.hAPP (tptp.hAPP @t239 @t725) @t25) @t271))) % 45.25/45.44 (assume @p537 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t686 @t251) @t62) (tptp.hAPP (tptp.hAPP @t239 @t728) @t727)))) % 45.25/45.44 (assume @p538 (forall @t398 (= (tptp.hAPP @t281 @t693) (tptp.hAPP (tptp.hAPP @t686 @t282) (tptp.hAPP @t281 @t24))))) % 45.25/45.44 (assume @p539 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t686 @t256) @t62) (tptp.hAPP @t255 @t727)))) % 45.25/45.44 (assume @p540 (forall @t65 (= (tptp.hAPP @t731 @t62) @t730))) % 45.25/45.44 (assume @p541 (forall @t393 (= @t730 (tptp.hAPP @t729 @t24)))) % 45.25/45.44 (assume @p542 (forall @t577 (=> @t118 (=> @t115 @t691)))) % 45.25/45.44 (assume @p543 (forall @t533 (=> @t116 (=> @t675 @t734)))) % 45.25/45.44 (assume @p544 (forall @t33 (=> @t116 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t627 @t735) @t732) @t732))))))) % 45.25/45.44 (assume @p545 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t738))))))) % 45.25/45.44 (assume @p546 (forall @t609 (= @t739 (and @t691 @t710 (= (tptp.hAPP (tptp.hAPP @t610 @t701) (tptp.hAPP @t600 @t725)) @t573))))) % 45.25/45.44 (assume @p547 (forall @t609 (=> @t684 @t740))) % 45.25/45.44 (assume @p548 (forall @t609 (=> @t739 @t740))) % 45.25/45.44 (assume @p549 (forall @t71 (=> @t215 (= @t741 (tptp.hAPP @t263 @t221))))) % 45.25/45.44 (assume @p550 (forall @t506 (= @t742 (tptp.hAPP @t694 @t494)))) % 45.25/45.44 (assume @p551 (forall @t506 (= @t742 (tptp.hAPP (tptp.hAPP @t686 @t743) @t24)))) % 45.25/45.44 (assume @p552 (forall @t502 (= @t744 @t501))) % 45.25/45.44 (assume @p553 (forall @t711 (=> @t710 (=> @t522 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t569) @t602) @t601)))))) % 45.25/45.44 (assume @p554 (forall @t533 (=> @t116 (=> @t675 (and (=> @t708 (= @t680 @t49)) (=> @t709 (= @t680 @t745))))))) % 45.25/45.44 (assume @p555 (forall @t53 (= (tptp.hAPP @t692 @t143) @t142))) % 45.25/45.44 (assume @p556 (forall @t33 (= (tptp.hAPP @t255 @t725) @t142))) % 45.25/45.44 (assume @p557 (forall @t33 (=> @t385 (= @t693 @t25)))) % 45.25/45.44 (assume @p558 (forall @t609 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP (tptp.hAPP @t686 @t571) @t578)) (tptp.hAPP @t568 @t747))))) % 45.25/45.44 (assume @p559 (forall @t33 (=> @t32 (= @t726 @t24)))) % 45.25/45.44 (assume @p560 (forall @t65 (= (tptp.hBOOL (tptp.hAPP @t722 @t62)) (tptp.hBOOL (tptp.hAPP @t31 @t276))))) % 45.25/45.44 (assume @p561 (forall @t65 (= (tptp.hAPP @t692 @t273) (tptp.hAPP @t748 @t728)))) % 45.25/45.44 (assume @p562 (forall @t65 (= (tptp.hAPP @t692 @t276) (tptp.hAPP @t731 @t728)))) % 45.25/45.44 (assume @p563 (forall @t33 (= (tptp.hAPP @t748 @t256) @t25))) % 45.25/45.44 (assume @p564 (forall (@list @t402 @t445 @t749 @t10) (=> @t116 (=> (tptp.hBOOL (tptp.hAPP @t751 @t445)) (= (tptp.hAPP (tptp.hAPP @t686 (tptp.hAPP @t750 @t402)) (tptp.hAPP @t750 @t445)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t445) @t402)))))) % 45.25/45.44 (assume @p565 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t738)))))))) % 45.25/45.44 (assume @p566 (forall @t33 (=> @t116 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t627 @t737) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t256)) @t736))))))) % 45.25/45.44 (assume @p567 (forall @t53 (= @t199 (tptp.hAPP (tptp.hAPP @t686 @t143) @t25)))) % 45.25/45.44 (assume @p568 (forall @t33 (= (tptp.hAPP @t184 @t693) (tptp.hAPP @t375 @t24)))) % 45.25/45.44 (assume @p569 (forall @t33 (= @t693 (tptp.hAPP @t255 @t198)))) % 45.25/45.44 (assume @p570 (forall @t33 (= (tptp.hAPP @t692 @t198) @t256))) % 45.25/45.44 (assume @p571 (forall @t53 (=> @t116 (=> @t675 (=> @t678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t732) @t669))))))) % 45.25/45.44 (assume @p572 (forall @t609 (=> @t684 (= @t604 @t32)))) % 45.25/45.44 (assume @p573 (forall @t704 (=> @t703 (=> @t63 (=> @t64 @t752))))) % 45.25/45.44 (assume @p574 (forall @t609 (=> @t684 @t752))) % 45.25/45.44 (assume @p575 (forall @t755 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t388 @t753)) @t754)) (tptp.hBOOL (tptp.hAPP @t673 (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t753)))))) % 45.25/45.44 (assume @p576 (forall @t33 (=> @t675 @t756))) % 45.25/45.44 (assume @p577 (forall @t760 (=> (or @t759 @t758) (tptp.hBOOL (tptp.hAPP @t673 (tptp.hAPP (tptp.hAPP @t246 @t757) @t9)))))) % 45.25/45.44 (assume @p578 (forall @t764 (=> @t759 (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t762 @t757)))))) % 45.25/45.44 (assume @p579 (forall @t766 (=> @t675 @t765))) % 45.25/45.44 (assume @p580 (forall @t144 (tptp.hBOOL (tptp.hAPP @t673 @t142)))) % 45.25/45.44 (assume @p581 (forall @t771 (=> @t770 (=> @t769 @t768)))) % 45.25/45.44 (assume @p582 (forall @t771 (=> @t770 (=> @t768 @t769)))) % 45.25/45.44 (assume @p583 (forall @t774 (=> @t675 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t772) @t25)) (=> @t773 (= @t772 @t25)))))) % 45.25/45.44 (assume @p584 (forall @t781 (=> @t675 (= @t780 @t776)))) % 45.25/45.44 (assume @p585 (forall @t53 (=> @t782 @t675))) % 45.25/45.44 (assume @p586 (forall @t502 (= @t765 @t675))) % 45.25/45.44 (assume @p587 (forall @t33 (=> @t32 (=> @t674 @t675)))) % 45.25/45.44 (assume @p588 (forall @t169 (=> @t674 (=> @t32 @t675)))) % 45.25/45.44 (assume @p589 (forall @t144 (=> @t782 @t770))) % 45.25/45.44 (assume @p590 (forall @t788 (=> @t770 (=> @t787 (tptp.hBOOL (tptp.hAPP @t786 @t785)))))) % 45.25/45.44 (assume @p591 (forall @t788 (= (tptp.hBOOL (tptp.hAPP @t792 @t791)) (and @t770 @t787)))) % 45.25/45.44 (assume @p592 (forall @t144 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t793) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t793 tptp.tc_HOL_Obool)))) @t770))) % 45.25/45.44 (assume @p593 (forall @t760 (= @t794 (and @t759 @t758)))) % 45.25/45.44 (assume @p594 (forall @t760 (=> @t759 (=> @t758 @t794)))) % 45.25/45.44 (assume @p595 (forall @t169 (=> @t674 (= @t756 @t675)))) % 45.25/45.44 (assume @p596 (forall @t53 (=> @t797 @t796))) % 45.25/45.44 (assume @p597 (forall @t53 (= (tptp.hBOOL (tptp.hAPP @t795 @t158)) @t675))) % 45.25/45.44 (assume @p598 (forall (@list @t2 @t24 @t40 @t25 @t10) (=> @t675 (=> @t800 @t798)))) % 45.25/45.44 (assume @p599 (forall @t506 (= (tptp.hBOOL (tptp.hAPP @t673 @t742)) @t756))) % 45.25/45.44 (assume @p600 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP @t673 @t571)) (=> @t802 @t801)))) % 45.25/45.44 (assume @p601 (forall @t53 (=> @t675 (= (tptp.hBOOL (tptp.hAPP @t673 @t199)) @t770)))) % 45.25/45.44 (assume @p602 (forall @t788 (=> @t804 @t787))) % 45.25/45.44 (assume @p603 (forall @t774 (=> @t675 (=> (tptp.hBOOL (tptp.hAPP @t31 @t772)) @t773)))) % 45.25/45.44 (assume @p604 (forall (@list @t805 @t40 @t10 @t25) (=> @t678 (= (exists @t619 (and @t808 (tptp.hBOOL (tptp.hAPP @t807 @t805)))) (exists (@list @t806) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 @t806) @t805) @t25)))))) % 45.25/45.44 (assume @p605 (forall @t815 (=> @t814 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t2 @t813) @t812) @t811))))))) % 45.25/45.44 (assume @p606 (forall @t815 (=> @t814 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t816)))))))) % 45.25/45.44 (assume @p607 (forall @t820 (=> @t819 (=> @t801 (=> @t798 (=> (= @t612 @t573) @t818)))))) % 45.25/45.44 (assume @p608 (forall @t824 (=> @t814 (=> @t675 (and (=> @t708 (= @t823 @t49)) (=> @t709 (= @t823 @t822))))))) % 45.25/45.44 (assume @p609 (forall @t829 (=> @t819 (=> @t801 (= @t828 @t827))))) % 45.25/45.44 (assume @p610 (forall @t839 (=> @t116 (=> @t838 (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t830)) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t832)))))))) % 45.25/45.44 (assume @p611 (forall @t839 (=> @t116 (=> @t841 (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t830)) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t832)))))))) % 45.25/45.44 (assume @p612 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (and (=> @t708 (= @t669 @t49)) (=> @t709 (= @t669 @t745)))))))) % 45.25/45.44 (assume @p613 (forall (@list @t174 @t10 @t24 @t25) (=> @t26 (=> @t850 (not @t848))))) % 45.25/45.44 (assume @p614 (forall @t154 (not (tptp.hBOOL (tptp.hAPP @t851 @t142))))) % 45.25/45.44 (assume @p615 (forall @t856 (=> @t855 (=> @t853 @t852)))) % 45.25/45.44 (assume @p616 (forall @t860 (=> (=> @t859 @t429) @t857))) % 45.25/45.44 (assume @p617 (forall @t862 (=> @t32 @t861))) % 45.25/45.44 (assume @p618 (forall @t195 (tptp.hBOOL (tptp.hAPP @t842 @t143)))) % 45.25/45.44 (assume @p619 (forall (@list @t10 @t25 @t40 @t49 @t2 @t171) (=> @t867 (=> @t866 (tptp.hBOOL (tptp.hAPP @t863 @t571)))))) % 45.25/45.44 (assume @p620 (forall @t869 (=> @t868 @t848))) % 45.25/45.44 (assume @p621 (forall @t870 (=> (=> @t849 @t846) @t868))) % 45.25/45.44 (assume @p622 (forall @t869 (=> @t846 (=> @t845 @t871)))) % 45.25/45.44 (assume @p623 (forall @t869 (=> @t871 (not @t850)))) % 45.25/45.44 (assume @p624 (forall @t869 (=> @t846 (=> @t849 @t872)))) % 45.25/45.44 (assume @p625 (forall @t869 (=> @t872 (not @t861)))) % 45.25/45.44 (assume @p626 (forall @t874 (=> @t847 @t873))) % 45.25/45.44 (assume @p627 (forall (@list @t25 @t62 @t877 @t10) (=> @t880 (=> @t878 @t876)))) % 45.25/45.44 (assume @p628 (forall (@list @t877 @t62 @t25 @t10) (=> @t881 (=> @t880 @t878)))) % 45.25/45.44 (assume @p629 (forall @t33 (=> @t32 @t883))) % 45.25/45.44 (assume @p630 (forall @t482 (= @t843 @t249))) % 45.25/45.44 (assume @p631 (forall @t109 (= (tptp.hBOOL (tptp.hAPP @t842 @t884)) @t100))) % 45.25/45.44 (assume @p632 (forall (@list @t49 @t10 @t24 @t25) (=> @t26 (= @t843 @t885)))) % 45.25/45.44 (assume @p633 (forall (@list @t25 @t10 @t99 @t49) (=> @t100 (= @t843 @t887)))) % 45.25/45.44 (assume @p634 (forall @t889 (=> @t429 (=> @t888 @t852)))) % 45.25/45.44 (assume @p635 (forall (@list @t58 @t24 @t25 @t40 @t10) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 @t894)) @t287)) (forall @t7 (=> @t891 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 @t775)) (tptp.hBOOL (tptp.hAPP @t58 @t380))))))))) % 45.25/45.44 (assume @p636 (forall @t53 (= (forall @t7 @t895) @t151))) % 45.25/45.44 (assume @p637 (forall @t53 (= @t896 @t678))) % 45.25/45.44 (assume @p638 (forall (@list @t174 @t10) (not (tptp.hBOOL (tptp.hAPP @t844 @t142))))) % 45.25/45.44 (assume @p639 (forall (@list @t153 @t10 @t25) (=> @t151 @t897))) % 45.25/45.44 (assume @p640 (forall @t541 (tptp.hBOOL (tptp.hAPP @t851 @t504)))) % 45.25/45.44 (assume @p641 (forall @t856 (= @t855 @t898))) % 45.25/45.44 (assume @p642 (forall @t902 (=> @t901 (=> @t900 (= (= @t480 @t899) @t26))))) % 45.25/45.44 (assume @p643 (forall @t860 (=> @t858 @t857))) % 45.25/45.44 (assume @p644 (forall @t502 (=> @t852 (= @t501 @t25)))) % 45.25/45.44 (assume @p645 (forall @t253 (=> @t32 (=> @t843 @t885)))) % 45.25/45.44 (assume @p646 (forall @t902 (=> @t843 (=> @t32 @t885)))) % 45.25/45.44 (assume @p647 (forall (@list @t25 @t2 @t40 @t348 @t10) (= (tptp.hBOOL (tptp.hAPP @t903 @t571)) (exists @t7 (and @t891 (= @t348 @t5)))))) % 45.25/45.44 (assume @p648 (forall @t904 (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 @t51) @t602))))) % 45.25/45.44 (assume @p649 (forall (@list @t40 @t2 @t171 @t25 @t49 @t10) (=> @t843 (=> @t867 (tptp.hBOOL (tptp.hAPP @t905 @t602)))))) % 45.25/45.44 (assume @p650 (forall @t869 (= @t868 (or @t846 @t845)))) % 45.25/45.44 (assume @p651 (forall @t869 (=> @t846 @t868))) % 45.25/45.44 (assume @p652 (forall @t870 (=> @t845 @t868))) % 45.25/45.44 (assume @p653 (forall @t869 (= @t871 (and @t846 @t845)))) % 45.25/45.44 (assume @p654 (forall @t869 (=> @t871 @t846))) % 45.25/45.44 (assume @p655 (forall @t869 (=> @t871 @t845))) % 45.25/45.44 (assume @p656 (forall @t869 (= @t872 (and @t846 @t849)))) % 45.25/45.44 (assume @p657 (forall @t869 (=> @t872 @t846))) % 45.25/45.44 (assume @p658 (forall @t869 (=> @t872 @t849))) % 45.25/45.44 (assume @p659 (forall @t907 (=> @t691 (=> @t483 (=> @t843 (=> @t887 @t906)))))) % 45.25/45.44 (assume @p660 (forall @t907 (=> @t691 (=> @t843 (=> @t887 @t150))))) % 45.25/45.44 (assume @p661 (forall @t907 (=> @t691 (=> @t149 (=> @t843 (=> @t887 @t100)))))) % 45.25/45.44 (assume @p662 (forall @t829 (=> @t819 (=> @t801 (=> (not @t866) @t909))))) % 45.25/45.44 (assume @p663 (forall @t874 (= @t873 @t847))) % 45.25/45.44 (assume @p664 (forall @t874 (=> @t873 @t847))) % 45.25/45.44 (assume @p665 (forall @t53 (tptp.hBOOL (tptp.hAPP @t882 @t158)))) % 45.25/45.44 (assume @p666 (forall @t862 (=> @t522 @t861))) % 45.25/45.44 (assume @p667 (forall @t912 @t911)) % 45.25/45.44 (assume @p668 (forall @t912 @t914)) % 45.25/45.44 (assume @p669 (forall @t824 (=> @t814 (=> @t675 (=> @t901 @t916))))) % 45.25/45.44 (assume @p670 (forall (@list @t757 @t1 @t348 @t2 @t40 @t10) (=> @t819 (= (tptp.hAPP @t757 @t573) @t348)))) % 45.25/45.44 (assume @p671 (forall @t187 (= @t918 @t917))) % 45.25/45.44 (assume @p672 (forall @t187 (=> @t918 @t917))) % 45.25/45.44 (assume @p673 (forall @t902 (=> @t901 (= @t919 @t32)))) % 45.25/45.44 (assume @p674 (forall @t902 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t480) @t24)) (and @t885 @t32)))) % 45.25/45.44 (assume @p675 (forall @t904 (=> @t843 (= (tptp.hAPP (tptp.hAPP @t580 @t51) @t602) @t602)))) % 45.25/45.44 (assume @p676 (forall @t508 (and @t922 @t921))) % 45.25/45.44 (assume @p677 (forall @t927 (and @t926 @t925))) % 45.25/45.44 (assume @p678 (forall @t508 @t921)) % 45.25/45.44 (assume @p679 (forall @t927 @t925)) % 45.25/45.44 (assume @p680 (forall @t508 @t922)) % 45.25/45.44 (assume @p681 (forall @t927 @t926)) % 45.25/45.44 (assume @p682 (forall (@list @t40 @t10 @t49 @t2 @t171) (=> @t867 (tptp.hBOOL (tptp.hAPP @t863 @t616))))) % 45.25/45.44 (assume @p683 (forall (@list @t40 @t49 @t2 @t10) (tptp.hBOOL (tptp.hAPP @t928 @t616)))) % 45.25/45.44 (assume @p684 (forall @t932 @t931)) % 45.25/45.44 (assume @p685 (forall @t932 (and @t931 (=> @t900 (= @t930 (tptp.hAPP @t479 @t693)))))) % 45.25/45.44 (assume @p686 (forall @t482 (=> @t155 (=> @t843 (tptp.hBOOL (tptp.hAPP @t102 @t207)))))) % 45.25/45.44 (assume @p687 (forall @t482 (=> @t155 (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t210) @t49)))))) % 45.25/45.44 (assume @p688 (forall @t934 (=> @t620 (= (tptp.hBOOL (tptp.hAPP @t933 @t194)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t749) @t160)))))) % 45.25/45.44 (assume @p689 (forall @t934 (=> @t620 (= (tptp.hBOOL (tptp.hAPP @t933 @t182)) (tptp.hBOOL (tptp.hAPP @t751 @t160)))))) % 45.25/45.44 (assume @p690 (forall @t169 (=> @t935 (tptp.hBOOL (tptp.hAPP @t29 @t200))))) % 45.25/45.44 (assume @p691 (forall @t378 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t142) @t157)))) % 45.25/45.44 (assume @p692 (forall @t934 (=> @t620 (= (tptp.hBOOL (tptp.hAPP @t933 @t193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t160) @t749)))))) % 45.25/45.44 (assume @p693 (forall @t33 (=> @t883 @t32))) % 45.25/45.44 (assume @p694 (forall @t33 (= @t883 @t32))) % 45.25/45.44 (assume @p695 (forall @t934 (=> @t620 (= (tptp.hBOOL (tptp.hAPP @t933 @t183)) (tptp.hBOOL (tptp.hAPP @t542 @t749)))))) % 45.25/45.44 (assume @p696 (forall @t169 (=> @t935 @t936))) % 45.25/45.44 (assume @p697 (forall @t824 (=> @t814 (=> @t675 (=> @t843 (and (=> @t708 (= @t810 @t49)) (=> @t709 (= @t810 @t822)))))))) % 45.25/45.44 (assume @p698 (forall @t829 (=> @t819 (=> @t801 (=> @t866 (= @t810 @t827)))))) % 45.25/45.44 (assume @p699 (forall @t502 (=> @t852 (= @t744 @t25)))) % 45.25/45.44 (assume @p700 (forall @t482 (=> @t901 (= (tptp.hAPP @t929 @t532) @t25)))) % 45.25/45.44 (assume @p701 (forall (@list @t171 @t2 @t40 @t10) (=> @t684 (= (tptp.hBOOL (tptp.hAPP @t905 @t939)) (exists @t7 (and (= @t171 @t5) (forall @t938 (=> (= @t171 @t631) @t937)))))))) % 45.25/45.44 (assume @p702 (forall @t941 (=> @t684 (= (tptp.hBOOL (tptp.hAPP @t940 @t602)) @t852)))) % 45.25/45.44 (assume @p703 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (= @t733 @t732)))))) % 45.25/45.44 (assume @p704 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (= @t679 @t669)))))) % 45.25/45.44 (assume @p705 (forall @t942 (=> @t814 (= (tptp.hAPP @t757 @t532) @t49)))) % 45.25/45.44 (assume @p706 (forall @t945 (= @t919 (and (=> @t843 @t944) @t943)))) % 45.25/45.44 (assume @p707 (forall @t945 (=> @t944 (=> @t843 @t919)))) % 45.25/45.44 (assume @p708 (forall @t766 (=> @t116 (=> @t675 (=> @t852 (= (tptp.hAPP @t552 @t732) @t153)))))) % 45.25/45.44 (assume @p709 (forall @t766 (=> @t116 (=> @t675 (=> @t852 (= (tptp.hAPP @t946 @t669) @t153)))))) % 45.25/45.44 (assume @p710 (forall @t941 (= (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t501) (and @t691 (not (tptp.hBOOL (tptp.hAPP @t940 (tptp.hAPP @t600 @t743)))))))) % 45.25/45.44 (assume @p711 (forall @t533 (=> @t116 (=> @t675 (=> @t901 @t734))))) % 45.25/45.44 (assume @p712 (forall @t533 (=> @t116 (=> @t675 (=> @t901 @t681))))) % 45.25/45.44 (assume @p713 (forall @t945 (= (tptp.hBOOL (tptp.hAPP @t505 @t899)) (and (=> @t885 @t522) (=> @t900 (and (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t484 @t705) @t24))) @t943)))))) % 45.25/45.44 (assume @p714 (forall @t820 (=> @t819 (=> @t801 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t2 @t817) (tptp.hAPP @t757 @t612)) @t811)))))) % 45.25/45.44 (assume @p715 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (and (=> @t708 (= @t732 @t49)) (=> @t709 (= @t732 @t706)))))))) % 45.25/45.44 (assume @p716 (forall @t53 (=> @t116 (=> @t675 (=> @t678 (=> @t949 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t669) @t25)))))))) % 45.25/45.44 (assume @p717 (forall @t53 (=> @t116 (=> @t675 (=> @t678 (=> @t950 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t732) @t25)))))))) % 45.25/45.44 (assume @p718 (forall @t953 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OatMost @t10 @t951 @t160))) (tptp.hBOOL (tptp.hAPP @t952 @t160))))) % 45.25/45.44 (assume @p719 (forall @t953 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OatLeast @t10 @t951 @t160))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t951 @t160) @t749))))) % 45.25/45.44 (assume @p720 (forall @t956 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OlessThan @t10 @t954 @t160))) (tptp.hBOOL (tptp.hAPP @t955 @t160))))) % 45.25/45.44 (assume @p721 (forall @t956 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OgreaterThan @t10 @t954 @t160))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t160) @t749))))) % 45.25/45.44 (assume @p722 (forall (@list @t236 @t159 @t951 @t749 @t10) (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OatLeastAtMost @t10 @t951 @t159 @t236))) (and @t958 @t957)))) % 45.25/45.44 (assume @p723 (forall (@list @t236 @t159 @t954 @t749 @t10) (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t10 @t954 @t159 @t236))) (and @t960 @t959)))) % 45.25/45.44 (assume @p724 (forall @t961 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OatLeastLessThan @t10 @t951 @t954 @t159 @t236))) (and @t958 @t959)))) % 45.25/45.44 (assume @p725 (forall @t961 (= (tptp.hBOOL (tptp.hAPP @t933 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t10 @t951 @t954 @t159 @t236))) (and @t960 @t957)))) % 45.25/45.44 (assume @p726 (forall @t53 (=> @t796 (=> (forall (@list @t962) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t962) @t25)) (tptp.hBOOL (tptp.hAPP @t673 @t962)))) @t797)))) % 45.25/45.44 (assume @p727 (forall @t533 (=> @t292 (=> @t675 (=> @t843 (and (=> @t708 (= @t964 @t49)) (=> @t709 (= @t964 @t963)))))))) % 45.25/45.44 (assume @p728 (forall @t533 (=> @t292 (=> @t675 (=> @t843 (and (=> @t708 (= @t966 @t49)) (=> @t709 (= @t966 @t965)))))))) % 45.25/45.44 (assume @p729 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (and (=> @t708 @t969) (=> @t709 (= @t968 @t967)))))))) % 45.25/45.44 (assume @p730 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (and (=> @t708 @t972) (=> @t709 (= @t971 @t970)))))))) % 45.25/45.44 (assume @p731 (forall (@list @t757 @t49 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t974 @t757))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t388 @t973)) (forall @t384 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t380) @t973)) (=> @t382 (= (tptp.hAPP @t386 @t380) @t142)))))) (= (tptp.hAPP (tptp.hAPP @t246 @t49) (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t757)) @t142))))) % 45.25/45.44 (assume @p732 (forall @t976 (=> @t814 (=> @t675 (=> @t678 (=> (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t975) @t948))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t810) @t25)))))))) % 45.25/45.44 (assume @p733 (forall @t53 (=> @t292 (=> @t675 (=> @t678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t964) @t966))))))) % 45.25/45.44 (assume @p734 (forall @t981 (=> @t980 (=> @t979 (=> @t978 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t525)) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t977))))))) % 45.25/45.44 (assume @p735 (forall @t981 (=> @t980 (=> @t979 (=> @t978 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t525)) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t977))))))) % 45.25/45.44 (assume @p736 (forall @t195 (=> @t116 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t532) @t49)))) % 45.25/45.44 (assume @p737 (forall @t195 (=> @t116 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t532) @t49)))) % 45.25/45.44 (assume @p738 (forall @t195 (=> @t292 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t532) @t49)))) % 45.25/45.44 (assume @p739 (forall @t195 (=> @t292 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t532) @t49)))) % 45.25/45.44 (assume @p740 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (tptp.hBOOL (tptp.hAPP @t102 @t968))))))) % 45.25/45.44 (assume @p741 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t971) @t49))))))) % 45.25/45.44 (assume @p742 (forall @t53 (=> @t116 (=> @t675 (=> @t678 @t982))))) % 45.25/45.44 (assume @p743 (forall @t53 (=> @t116 (=> @t675 (=> @t678 @t983))))) % 45.25/45.44 (assume @p744 (forall @t766 (=> @t292 (=> @t675 (=> @t852 (= (tptp.hAPP @t535 @t964) @t153)))))) % 45.25/45.44 (assume @p745 (forall @t533 (=> @t292 (=> @t675 (=> @t843 (= @t984 @t966)))))) % 45.25/45.44 (assume @p746 (forall @t766 (=> @t292 (=> @t675 (=> @t852 (= (tptp.hAPP @t538 @t966) @t153)))))) % 45.25/45.44 (assume @p747 (forall @t533 (=> @t292 (=> @t675 (=> @t843 (= @t985 @t964)))))) % 45.25/45.44 (assume @p748 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (= @t986 @t971)))))) % 45.25/45.44 (assume @p749 (forall @t533 (=> @t116 (=> @t675 (=> @t843 (= @t987 @t968)))))) % 45.25/45.44 (assume @p750 (forall @t53 (=> @t155 (=> @t675 (=> @t678 (= @t966 @t207)))))) % 45.25/45.44 (assume @p751 (forall @t53 (=> @t155 (=> @t675 (=> @t678 (= @t964 @t210)))))) % 45.25/45.44 (assume @p752 (forall @t991 (=> @t116 (=> @t990 (=> @t989 (=> @t834 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t753)) @t988)))))))) % 45.25/45.44 (assume @p753 (forall @t991 (=> @t116 (=> @t990 (=> @t989 (=> @t834 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t992) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t753))))))))) % 45.25/45.44 (assume @p754 (forall @t533 (=> @t292 (=> @t675 @t994)))) % 45.25/45.44 (assume @p755 (forall @t533 (=> @t292 (=> @t675 @t996)))) % 45.25/45.44 (assume @p756 (forall @t533 (=> @t116 (=> @t675 @t998)))) % 45.25/45.44 (assume @p757 (forall @t33 (=> @t292 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t291 @t999) @t966) @t966))))))) % 45.25/45.44 (assume @p758 (forall @t533 (=> @t116 (=> @t675 @t1001)))) % 45.25/45.44 (assume @p759 (forall @t33 (=> @t292 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t294 @t1002) @t964) @t964))))))) % 45.25/45.44 (assume @p760 (forall @t33 (=> @t116 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t627 @t1003) @t971) @t971))))))) % 45.25/45.44 (assume @p761 (forall @t33 (=> @t292 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t1006))))))) % 45.25/45.44 (assume @p762 (forall @t33 (=> @t116 (=> @t675 (=> @t677 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t551 @t1007) @t968) @t968))))))) % 45.25/45.44 (assume @p763 (forall @t33 (=> @t292 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t1010))))))) % 45.25/45.44 (assume @p764 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t1013))))))) % 45.25/45.44 (assume @p765 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t1016))))))) % 45.25/45.44 (assume @p766 (forall @t533 (=> @t292 (=> @t675 (=> @t901 @t994))))) % 45.25/45.44 (assume @p767 (forall @t533 (=> @t292 (=> @t675 (=> @t901 @t996))))) % 45.25/45.44 (assume @p768 (forall @t533 (=> @t116 (=> @t675 (=> @t901 @t998))))) % 45.25/45.44 (assume @p769 (forall @t533 (=> @t116 (=> @t675 (=> @t901 @t1001))))) % 45.25/45.44 (assume @p770 (forall @t533 (=> @t292 (=> @t675 (and (=> @t708 (= @t993 @t49)) (=> @t709 (= @t993 @t965))))))) % 45.25/45.44 (assume @p771 (forall @t533 (=> @t292 (=> @t675 (and (=> @t708 (= @t995 @t49)) (=> @t709 (= @t995 @t963))))))) % 45.25/45.44 (assume @p772 (forall @t533 (=> @t116 (=> @t675 (and (=> @t708 (= @t997 @t49)) (=> @t709 (= @t997 @t970))))))) % 45.25/45.44 (assume @p773 (forall @t33 (=> @t292 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t1006)))))))) % 45.25/45.44 (assume @p774 (forall @t33 (=> @t292 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t291 @t1005) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t256)) @t1004))))))) % 45.25/45.44 (assume @p775 (forall @t533 (=> @t116 (=> @t675 (and (=> @t708 (= @t1000 @t49)) (=> @t709 (= @t1000 @t967))))))) % 45.25/45.44 (assume @p776 (forall @t33 (=> @t292 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t1010)))))))) % 45.25/45.44 (assume @p777 (forall @t33 (=> @t292 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t294 @t1009) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t256)) @t1008))))))) % 45.25/45.44 (assume @p778 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t1013)))))))) % 45.25/45.44 (assume @p779 (forall @t33 (=> @t116 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t627 @t1012) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t256)) @t1011))))))) % 45.25/45.44 (assume @p780 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t1016)))))))) % 45.25/45.44 (assume @p781 (forall @t33 (=> @t116 (=> @t675 (=> @t674 (=> @t672 (= (tptp.hAPP (tptp.hAPP @t551 @t1015) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t256)) @t1014))))))) % 45.25/45.44 (assume @p782 (forall @t53 (=> @t116 (=> @t675 (=> @t678 (=> @t949 @t983)))))) % 45.25/45.44 (assume @p783 (forall @t53 (=> @t116 (=> @t675 (=> @t678 (=> @t950 @t982)))))) % 45.25/45.44 (assume @p784 (forall @t53 (=> @t292 (=> @t675 (=> @t678 (=> (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t1017) @t948))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t964) @t25)))))))) % 45.25/45.44 (assume @p785 (forall @t53 (=> @t292 (=> @t675 (=> @t678 (=> (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t1018) @t948))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t966) @t25)))))))) % 45.25/45.44 (assume @p786 (forall (@list @t99 @t2 @t40 @t25 @t49 @t10) (and (=> @t843 (= @t1020 (tptp.hAPP (tptp.hAPP @t580 @t99) (tptp.hAPP @t600 @t705)))) (=> @t901 (= @t1020 @t602))))) % 45.25/45.44 (assume @p787 (forall (@list @t24 @t49 @t25 @t2 @t40 @t10) (=> @t691 (=> @t1023 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t1022) @t24))))))) % 45.25/45.44 (assume @p788 (forall @t839 (=> @t116 (=> @t838 (=> @t834 (=> @t833 (= (tptp.hAPP @t761 @t988) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t832)))))))) % 45.25/45.44 (assume @p789 (forall @t839 (=> @t116 (=> @t841 (=> @t834 (=> @t833 (= (tptp.hAPP @t761 @t992) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t832)))))))) % 45.25/45.44 (assume @p790 (forall @t1024 (= (tptp.c_Fun_Ofun__upd @t10 @t40 @t2 @t49 @t51) @t2))) % 45.25/45.44 (assume @p791 (forall (@list @t10 @t40 @t99 @t49 @t2) (=> @t1026 (= @t1025 @t2)))) % 45.25/45.44 (assume @p792 (forall @t1031 @t1030)) % 45.25/45.44 (assume @p793 (forall (@list @t170 @t171 @t402 @t40 @t10 @t174 @t153) (=> (not @t497) (= (tptp.c_Fun_Ofun__upd @t10 @t40 (tptp.c_Fun_Ofun__upd @t10 @t40 @t402 @t153 @t171) @t174 @t170) (tptp.c_Fun_Ofun__upd @t10 @t40 (tptp.c_Fun_Ofun__upd @t10 @t40 @t402 @t174 @t170) @t153 @t171))))) % 45.25/45.44 (assume @p794 (forall @t1031 (and (=> @t1029 (= @t1028 @t99)) @t1030))) % 45.25/45.44 (assume @p795 (forall @t119 (= (tptp.hAPP @t1025 @t49) @t99))) % 45.25/45.44 (assume @p796 (forall @t1032 (= (tptp.c_Fun_Ofun__upd @t10 @t40 @t1019 @t49 @t348) (tptp.c_Fun_Ofun__upd @t10 @t40 @t2 @t49 @t348)))) % 45.25/45.44 (assume @p797 (forall @t712 (= (= @t1019 @t2) @t1026))) % 45.25/45.44 (assume @p798 (forall @t907 (=> @t691 (=> @t1026 (=> @t843 (= @t1033 @t49)))))) % 45.25/45.44 (assume @p799 (forall @t1034 (=> @t691 (=> @t843 (= (tptp.hAPP @t1021 @t51) @t49))))) % 45.25/45.44 (assume @p800 (forall @t1024 (=> @t684 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t10 @t40 @t143 @t2) @t51) @t49)))) % 45.25/45.44 (assume @p801 (forall @t575 (=> @t691 (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 @t1021) @t602) @t25)))) % 45.25/45.44 (assume @p802 (forall @t575 (=> @t691 (tptp.c_Fun_Oinj__on @t40 @t10 @t1021 @t602)))) % 45.25/45.44 (assume @p803 (forall (@list @t49 @t99 @t25 @t2 @t40 @t10) (=> @t691 (=> (not @t1036) (tptp.c_Fun_Oinj__on @t10 @t40 @t1019 @t25))))) % 45.25/45.44 (assume @p804 (forall (@list @t99 @t25 @t2 @t40 @t10) (=> @t691 (=> @t1036 (= (tptp.hAPP @t2 @t1033) @t99))))) % 45.25/45.44 (assume @p805 (forall @t839 (=> @t292 (=> (forall @t633 (= (tptp.hAPP @t761 @t1017) (tptp.hAPP (tptp.hAPP @t294 @t836) @t835))) (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t830)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t832)))))))) % 45.25/45.44 (assume @p806 (forall @t839 (=> @t292 (=> (forall @t633 (= (tptp.hAPP @t761 @t1018) (tptp.hAPP (tptp.hAPP @t291 @t836) @t835))) (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t830)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t832)))))))) % 45.25/45.44 (assume @p807 (forall (@list @t58 @t25 @t10) (=> @t675 (=> (tptp.hBOOL (tptp.hAPP @t58 @t25)) (=> (forall @t1043 (=> (tptp.hBOOL (tptp.hAPP @t673 @t1040)) (=> @t1042 (=> (tptp.hBOOL (tptp.hAPP @t58 @t1040)) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t686 @t1040) (tptp.hAPP @t1039 @t142)))))))) @t1037))))) % 45.25/45.44 (assume @p808 (forall @t815 (=> @t1044 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t816))))))) % 45.25/45.44 (assume @p809 (forall (@list @t58 @t25 @t757 @t10) (=> @t759 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t757) @t25)) (=> @t1037 (=> (forall (@list @t1038 @t1046) (=> @t1049 (=> @t1048 (=> (not (tptp.hBOOL (tptp.hAPP @t1041 @t1046))) (=> @t1047 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t1039 @t1046)))))))) @t1045)))))) % 45.25/45.44 (assume @p810 (forall @t815 (=> @t1044 (=> @t675 (=> @t677 (=> @t30 @t1050)))))) % 45.25/45.44 (assume @p811 (forall @t824 (=> @t1044 (=> @t675 @t916)))) % 45.25/45.44 (assume @p812 (forall (@list @t2 @t40 @t10 @t525) (=> (not (= @t525 @t196)) (=> (forall @t1052 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t1040) @t525)) (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t1040))) (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t1051))))) % 45.25/45.44 (assume @p813 (forall @t942 (=> @t1044 @t1053))) % 45.25/45.44 (assume @p814 (forall @t824 (=> @t1044 (=> @t675 (=> @t843 (= @t915 @t810)))))) % 45.25/45.44 (assume @p815 (forall @t33 (=> (forall @t1056 (=> (tptp.hBOOL (tptp.hAPP @t1055 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t1054) @t24)))) (=> (not (= @t25 @t196)) @t936)))) % 45.25/45.44 (assume @p816 (forall @t33 (=> @t116 (=> @t678 (=> @t32 (=> @t674 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t1057 @t24)) @t1058)))))))) % 45.25/45.44 (assume @p817 (forall (@list @t830 @t761 @t757 @t2 @t10) (=> @t1044 (=> (forall @t633 (= (tptp.hAPP @t761 @t975) (tptp.hAPP (tptp.hAPP @t2 @t836) @t835))) (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.hAPP @t757 @t830)) (tptp.hAPP @t757 @t832)))))))) % 45.25/45.44 (assume @p818 (forall @t820 (=> @t819 (=> @t801 (=> @t798 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t890 @t612)) (= @t4 @t348))) @t818)))))) % 45.25/45.44 (assume @p819 (forall @t1067 (=> @t1066 (=> @t675 (and @t1065 (=> @t897 (= @t1062 @t1061))))))) % 45.25/45.44 (assume @p820 (forall @t1067 (=> (tptp.class_Rings_Oring @t40) (=> @t675 @t1065)))) % 45.25/45.44 (assume @p821 (forall @t390 (=> (forall @t1056 (=> @t1069 @t1068)) @t881))) % 45.25/45.44 (assume @p822 (forall @t533 (=> @t116 (=> @t675 (=> (forall @t938 (=> @t1071 (tptp.hBOOL (tptp.hAPP @t102 @t630)))) (=> @t843 @t972)))))) % 45.25/45.44 (assume @p823 (forall @t1085 (=> @t699 (=> @t1084 (=> @t1082 (= (tptp.hAPP (tptp.hAPP @t695 @t1079) @t1078) @t1075)))))) % 45.25/45.44 (assume @p824 (forall (@list @t153 @t2 @t10 @t1) (=> (= @t1 @t1086) (= (tptp.hAPP @t1 @t494) @t153)))) % 45.25/45.44 (assume @p825 (forall (@list @t153 @t2 @t10) (= (tptp.hAPP @t1086 @t494) @t153))) % 45.25/45.44 (assume @p826 (forall (@list @t2 @t25 @t24 @t10) (=> @t674 (=> @t30 (= (tptp.hAPP @t1088 @t693) (tptp.hAPP @t1092 @t1089)))))) % 45.25/45.44 (assume @p827 (forall @t976 (=> @t814 @t1094))) % 45.25/45.44 (assume @p828 (forall @t53 (=> @t292 (=> @t675 (= @t966 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t291) @t25)))))) % 45.25/45.44 (assume @p829 (forall @t53 (=> @t292 (=> @t675 (= @t964 @t1095))))) % 45.25/45.44 (assume @p830 (forall (@list @t2 @t25 @t153 @t10) (and (=> @t852 (= @t1096 (tptp.hAPP @t1092 @t579))) (=> @t897 (= @t1096 @t1090))))) % 45.25/45.44 (assume @p831 (forall @t136 (=> @t1066 (=> @t675 (=> @t30 (= (tptp.hAPP @t1060 @t693) (tptp.hAPP @t1064 @t1097))))))) % 45.25/45.44 (assume @p832 (forall @t53 (=> @t116 (=> @t675 (= @t971 @t1058))))) % 45.25/45.44 (assume @p833 (forall @t53 (=> @t116 (=> @t675 (= @t968 @t1098))))) % 45.25/45.44 (assume @p834 (forall @t53 (=> @t116 (=> @t675 (= @t732 @t1058))))) % 45.25/45.44 (assume @p835 (forall @t53 (=> @t116 (=> @t675 (= @t669 @t1098))))) % 45.25/45.44 (assume @p836 (forall @t766 (=> @t344 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1095) @t153))))))) % 45.25/45.44 (assume @p837 (forall @t533 (=> @t344 (=> @t675 (=> @t678 (= (tptp.hBOOL (tptp.hAPP @t102 @t1095)) @t1100)))))) % 45.25/45.44 (assume @p838 (forall @t766 (=> @t116 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP @t1101 @t153))))))) % 45.25/45.44 (assume @p839 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hBOOL (tptp.hAPP @t102 @t1058)) @t1100)))))) % 45.25/45.44 (assume @p840 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hBOOL (tptp.hAPP @t1101 @t49)) (exists @t7 (and @t205 (tptp.hBOOL (tptp.hAPP @t202 @t49)))))))))) % 45.25/45.44 (assume @p841 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hBOOL (tptp.hAPP @t470 @t1058)) (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t470 @t3)))))))))) % 45.25/45.44 (assume @p842 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1058) @t49)) (exists @t7 (and @t205 (tptp.hBOOL (tptp.hAPP @t528 @t49)))))))))) % 45.25/45.44 (assume @p843 (forall @t976 (=> (tptp.c_Big__Operators_Osemilattice__big @t10 @t2 @t757) @t1094))) % 45.25/45.44 (assume @p844 (forall @t1105 (=> (and @t1104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t40)) (=> @t675 (=> @t678 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t632 @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t529 @t1061) @t1103)))))))) % 45.25/45.44 (assume @p845 (forall @t1109 (=> @t1104 (=> @t675 (=> @t843 (= @t1103 @t1108)))))) % 45.25/45.44 (assume @p846 (forall @t1067 (=> @t1104 (=> @t675 (=> @t852 (= @t1061 (tptp.hAPP @t1110 @t1062))))))) % 45.25/45.44 (assume @p847 (forall @t33 (=> @t1115 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (=> @t385 @t1114)))))))) % 45.25/45.44 (assume @p848 (forall @t533 (=> @t1115 (=> @t678 (=> @t675 (=> @t901 @t1117)))))) % 45.25/45.44 (assume @p849 (forall @t533 (=> @t116 (=> @t675 (=> (forall @t938 (=> @t1071 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t630) @t49)))) (=> @t843 @t969)))))) % 45.25/45.44 (assume @p850 (forall @t1125 (=> @t1124 (=> @t691 (=> @t1123 (=> (forall @t1122 (=> @t1048 (= (tptp.hAPP @t1 @t1038) (tptp.hAPP @t761 (tptp.hAPP @t2 @t1038))))) (= (tptp.hAPP @t1121 @t24) (tptp.hAPP (tptp.hAPP @t1119 @t1) @t25)))))))) % 45.25/45.44 (assume @p851 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t1128 @t1127)))) % 45.25/45.44 (assume @p852 (forall @t1085 (=> @t1132 (=> @t1084 (=> @t1082 (= (tptp.hAPP @t1131 @t1075) @t1079)))))) % 45.25/45.44 (assume @p853 (forall @t1141 (=> @t1140 (= @t1139 (= @t174 @t1134))))) % 45.25/45.44 (assume @p854 (forall @t1141 (=> @t1140 (= @t1139 (= @t1142 @t170))))) % 45.25/45.44 (assume @p855 (forall @t1153 (=> @t1152 (= (tptp.hAPP @t1147 @t1146) (tptp.hAPP (tptp.hAPP @t1150 @t1148) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1143) @t1146)))))) % 45.25/45.44 (assume @p856 (forall @t331 (=> @t1157 (= @t1156 @t83)))) % 45.25/45.44 (assume @p857 (forall @t39 (=> @t1157 (= @t1159 @t34)))) % 45.25/45.44 (assume @p858 (forall @t225 (=> @t1157 (= (tptp.hAPP @t1155 @t1160) @t1160)))) % 45.25/45.44 (assume @p859 (forall @t96 (=> (tptp.class_Groups_Oab__semigroup__add @t35) @t1168))) % 45.25/45.44 (assume @p860 (forall @t96 (=> (tptp.class_Groups_Oab__semigroup__mult @t35) (= (tptp.hAPP (tptp.hAPP @t1154 @t1160) @t84) (tptp.hAPP @t1155 @t1170))))) % 45.25/45.44 (assume @p861 (forall @t534 (=> @t1174 (= (= @t1173 @t1172) @t495)))) % 45.25/45.44 (assume @p862 (forall (@list @t174 @t153 @t171 @t10) (=> @t1174 (= (= @t1178 @t1176) @t495)))) % 45.25/45.44 (assume @p863 (forall @t96 (=> @t1181 @t1180))) % 45.25/45.44 (assume @p864 (forall @t96 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t35) @t1180))) % 45.25/45.44 (assume @p865 (forall @t91 (=> @t1181 (=> (= @t1184 @t1183) @t88)))) % 45.25/45.44 (assume @p866 (forall @t96 (=> (tptp.class_Rings_Ocomm__semiring @t35) @t1187))) % 45.25/45.44 (assume @p867 (forall (@list @t84 @t87 @t1188 @t83 @t35) (=> (tptp.class_Rings_Osemiring @t35) (= (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t1155 @t1188)) (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t1169 @t1188)) @t84)) (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t1186 @t1188)) @t84))))) % 45.25/45.44 (assume @p868 (forall @t1195 (= @t1194 (exists @t1193 (forall @t7 (=> @t1192 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t3) @t1189)))))))) % 45.25/45.44 (assume @p869 (forall @t1141 (=> @t1197 (= @t1196 (tptp.hBOOL (tptp.hAPP @t175 @t1134)))))) % 45.25/45.44 (assume @p870 (forall @t1141 (=> @t1197 (= @t1196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1142) @t170)))))) % 45.25/45.44 (assume @p871 (forall @t1141 (=> @t1197 (= @t1198 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1142) @t170)))))) % 45.25/45.44 (assume @p872 (forall @t1141 (=> @t1197 (= @t1198 (tptp.hBOOL (tptp.hAPP @t488 @t1134)))))) % 45.25/45.44 (assume @p873 (forall @t1201 (=> @t1200 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1172) @t1199)) @t189)))) % 45.25/45.44 (assume @p874 (forall @t1203 (=> @t1200 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1176) @t1202)) @t189)))) % 45.25/45.44 (assume @p875 (forall @t96 (=> @t1206 (=> @t94 @t1205)))) % 45.25/45.44 (assume @p876 (forall @t96 (=> @t1206 (=> @t94 @t1208)))) % 45.25/45.44 (assume @p877 (forall @t1211 (=> @t1206 (=> @t94 (=> @t1210 (tptp.hBOOL (tptp.hAPP @t1204 @t1209))))))) % 45.25/45.44 (assume @p878 (forall @t1213 (=> @t1212 (=> @t1205 @t94)))) % 45.25/45.44 (assume @p879 (forall @t1214 (=> @t1212 (=> @t1208 @t94)))) % 45.25/45.44 (assume @p880 (forall @t1201 (=> @t1200 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1172) @t1199)) @t519)))) % 45.25/45.44 (assume @p881 (forall @t1203 (=> @t1200 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1176) @t1202)) @t519)))) % 45.25/45.44 (assume @p882 (forall @t96 (=> @t1217 (=> @t465 @t1216)))) % 45.25/45.44 (assume @p883 (forall @t96 (=> @t1217 (=> @t465 @t1218)))) % 45.25/45.44 (assume @p884 (forall @t1211 (=> @t1217 (=> @t465 @t1221)))) % 45.25/45.44 (assume @p885 (forall @t1213 (=> @t1212 (=> @t1216 @t465)))) % 45.25/45.44 (assume @p886 (forall @t1214 (=> @t1212 (=> @t1218 @t465)))) % 45.25/45.44 (assume @p887 (forall @t225 (=> @t432 (= (tptp.hAPP (tptp.hAPP @t1161 @t717) @t87) @t83)))) % 45.25/45.44 (assume @p888 (forall @t225 (=> @t432 (= (tptp.hAPP @t1222 @t87) @t83)))) % 45.25/45.44 (assume @p889 (forall @t225 (=> @t432 (= (tptp.hAPP @t1223 @t1165) @t87)))) % 45.25/45.44 (assume @p890 (forall @t225 (=> @t432 (= (tptp.hAPP @t1164 (tptp.hAPP @t1223 @t87)) @t87)))) % 45.25/45.44 (assume @p891 (forall @t225 (=> @t432 (= @t1224 (tptp.hAPP (tptp.hAPP @t1161 @t223) @t222))))) % 45.25/45.44 (assume @p892 (forall @t225 (=> @t718 (= @t1224 (tptp.hAPP @t1223 @t223))))) % 45.25/45.44 (assume @p893 (forall @t213 (=> (tptp.class_Rings_Oidom @t10) (= (= (tptp.hAPP @t1137 @t153) (tptp.hAPP @t1135 @t171)) (or @t429 @t431))))) % 45.25/45.44 (assume @p894 (forall @t225 (=> @t1226 (= (tptp.hAPP @t1225 @t223) @t1160)))) % 45.25/45.44 (assume @p895 (forall @t225 (=> @t1226 (= @t1228 @t1227)))) % 45.25/45.44 (assume @p896 (forall @t225 (=> @t1226 (= @t1229 @t1228)))) % 45.25/45.44 (assume @p897 (forall @t225 (=> @t1226 (= @t1229 @t1227)))) % 45.25/45.44 (assume @p898 (forall @t82 (=> @t1212 (= (tptp.hAPP (tptp.hAPP @t1161 @t639) @t72) (tptp.hAPP (tptp.hAPP @t634 @t1233) @t1231))))) % 45.25/45.44 (assume @p899 (forall @t82 (=> @t1212 (= (tptp.hAPP (tptp.hAPP @t1161 @t563) @t72) (tptp.hAPP (tptp.hAPP @t556 @t1233) @t1231))))) % 45.25/45.44 (assume @p900 (forall @t1211 (=> @t1217 (=> @t94 @t1221)))) % 45.25/45.44 (assume @p901 (forall @t1211 (=> @t1217 (=> @t465 (=> @t1210 @t1219))))) % 45.25/45.44 (assume @p902 (forall @t225 (=> @t432 (= (tptp.hAPP @t716 @t223) @t1165)))) % 45.25/45.44 (assume @p903 (forall @t225 (=> @t718 @t1234))) % 45.25/45.44 (assume @p904 (forall @t225 (=> @t432 @t1234))) % 45.25/45.44 (assume @p905 (forall (@list @t2 @t24 @t25 @t10) (=> @t675 (=> @t674 (= (tptp.hAPP @t1088 @t251) (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP (tptp.hAPP @t1144 @t1090) @t1089)) (tptp.hAPP @t1088 @t256))))))) % 45.25/45.44 (assume @p906 (forall @t1109 (=> @t1104 (=> @t675 (=> @t901 (= @t1235 (tptp.hAPP @t1107 @t1103))))))) % 45.25/45.44 (assume @p907 (forall (@list @t2 @t153 @t757 @t10 @t40) (=> @t1104 (=> @t759 (=> (not (tptp.hBOOL (tptp.hAPP @t851 @t757))) (= (tptp.hAPP @t1060 (tptp.hAPP @t493 @t757)) (tptp.hAPP @t1110 (tptp.hAPP @t1060 @t757)))))))) % 45.25/45.44 (assume @p908 (forall @t1239 (=> @t1104 (=> @t675 (=> @t674 (= (tptp.hAPP (tptp.hAPP @t1106 @t1238) (tptp.hAPP @t1102 @t256)) @t1237)))))) % 45.25/45.44 (assume @p909 (forall @t533 (=> @t1240 (=> @t678 (=> @t675 @t1117))))) % 45.25/45.44 (assume @p910 (forall @t33 (=> @t1240 (=> @t675 (=> @t678 (=> @t674 (=> @t677 @t1114))))))) % 45.25/45.44 (assume @p911 (forall @t1241 (=> @t1104 (=> @t675 (= @t1235 @t1108))))) % 45.25/45.44 (assume @p912 (forall @t1239 (=> @t1104 (=> @t675 (=> @t674 (=> @t385 @t1242)))))) % 45.25/45.44 (assume @p913 (forall @t136 (=> @t1066 (=> @t675 (=> @t674 (= (tptp.hAPP @t1060 @t251) (tptp.hAPP (tptp.hAPP @t1063 (tptp.hAPP (tptp.hAPP @t1106 @t1061) @t1097)) @t1243))))))) % 45.25/45.44 (assume @p914 (forall @t71 (=> @t1244 (= @t741 (tptp.hAPP @t1232 @t221))))) % 45.25/45.44 (assume @p915 (forall @t53 (=> @t1115 (=> @t675 (=> @t678 (=> (forall @t633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t1245) @t948))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t1113) @t25)))))))) % 45.25/45.44 (assume @p916 (forall @t1253 (=> @t1252 (=> @t1251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1249) @t1247)) @t1084))))) % 45.25/45.44 (assume @p917 (forall @t1262 (=> (tptp.hBOOL (tptp.hAPP @t1260 @t1255)) (=> @t1261 (= (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP @t1256 @t1258)) (tptp.hAPP @t1259 @t1258)) @t1257))))) % 45.25/45.44 (assume @p918 (forall @t1253 (=> @t1252 (=> @t1251 (= (= @t1249 @t1247) @t1263))))) % 45.25/45.44 (assume @p919 (forall @t1271 (=> @t1270 (= @t1268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1265) @t445)))))) % 45.25/45.44 (assume @p920 (forall (@list @t1254 @t1255 @t1272 @t1274 @t1273) (=> @t1283 (= @t1281 (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t1276) @t1272)) @t1255)) @t1254))))) % 45.25/45.44 (assume @p921 (forall @t1271 (=> @t1270 (= @t1284 (= @t1265 @t445))))) % 45.25/45.44 (assume @p922 (forall @t1287 (tptp.hBOOL (tptp.hAPP @t1128 @t1286)))) % 45.25/45.44 (assume @p923 (forall @t1287 (tptp.hBOOL (tptp.hAPP @t1128 @t1289)))) % 45.25/45.44 (assume @p924 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t1128 @t1290)))) % 45.25/45.44 (assume @p925 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t1128 @t1291)))) % 45.25/45.44 (assume @p926 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t1128 @t1292)))) % 45.25/45.44 (assume @p927 (forall (@list @t1258 @t1273 @t1272 @t1274) (= (tptp.hAPP @t1280 (tptp.hAPP @t1278 @t1258)) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t1294) @t1272)) @t1258)))) % 45.25/45.44 (assume @p928 (forall @t1299 (= (= @t1298 @t1296) @t1263))) % 45.25/45.44 (assume @p929 (forall @t1253 (= (= @t1302 @t1301) @t1263))) % 45.25/45.44 (assume @p930 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1264 @t1308) @t1258) (tptp.hAPP (tptp.hAPP @t1144 @t1306) @t1304)))) % 45.25/45.44 (assume @p931 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1264 @t1310) @t1258) (tptp.hAPP @t1305 @t1304)))) % 45.25/45.44 (assume @p932 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1144 @t1308) @t1258) (tptp.hAPP @t1307 @t1312)))) % 45.25/45.44 (assume @p933 (forall @t1262 (= (tptp.hAPP @t1313 @t1308) (tptp.hAPP (tptp.hAPP @t1144 @t1315) @t1314)))) % 45.25/45.44 (assume @p934 (forall @t1319 (= (tptp.hAPP @t1316 @t1318) (tptp.hAPP @t1317 (tptp.hAPP @t1316 @t72))))) % 45.25/45.44 (assume @p935 (forall @t1321 (= @t1310 @t1320))) % 45.25/45.44 (assume @p936 (forall @t1321 (= @t1308 @t1322))) % 45.25/45.44 (assume @p937 (forall @t1326 (=> (tptp.hBOOL (tptp.hAPP @t1325 @t1258)) (tptp.hBOOL (tptp.hAPP @t1324 @t1258))))) % 45.25/45.44 (assume @p938 (forall (@list @t1254 @t1255 @t1331 @t1258) (=> @t1333 (=> (= (tptp.hAPP @t1307 @t1331) @t1330) @t1328)))) % 45.25/45.44 (assume @p939 (forall @t1339 (=> @t1338 (=> @t1333 (tptp.hBOOL (tptp.hAPP @t1337 @t1335)))))) % 45.25/45.44 (assume @p940 (forall @t1326 (=> @t1338 (tptp.hBOOL (tptp.hAPP @t1337 @t1340))))) % 45.25/45.44 (assume @p941 (forall @t1342 (=> @t1338 (tptp.hBOOL (tptp.hAPP @t1324 @t1341))))) % 45.25/45.44 (assume @p942 (forall @t1342 (=> @t1338 (tptp.hBOOL (tptp.hAPP @t1324 @t1343))))) % 45.25/45.44 (assume @p943 (forall @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1302) @t1301)) @t1345))) % 45.25/45.44 (assume @p944 (forall @t1347 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1346) @t1274))))) % 45.25/45.44 (assume @p945 (forall @t1348 (not (tptp.hBOOL (tptp.hAPP @t1325 @t1274))))) % 45.25/45.44 (assume @p946 (not (tptp.hBOOL (tptp.hAPP @t1128 @t1349)))) % 45.25/45.44 (assume @p947 (forall @t1195 (= @t1194 (exists @t1193 (forall @t7 (=> @t1192 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t3) @t1189)))))))) % 45.25/45.44 (assume @p948 (forall (@list @t84 @t83 @t35) (=> @t1350 (= @t1179 @t1183)))) % 45.25/45.44 (assume @p949 (forall @t1353 (=> @t1350 (= @t1352 (tptp.hAPP @t1182 (tptp.hAPP @t1164 @t368)))))) % 45.25/45.44 (assume @p950 (forall @t1353 (=> @t1350 (= @t1352 (tptp.hAPP @t1354 @t368))))) % 45.25/45.44 (assume @p951 (forall @t96 (=> @t1350 @t1168))) % 45.25/45.44 (assume @p952 (forall @t96 (=> @t1350 (= @t1167 (tptp.hAPP @t1354 @t87))))) % 45.25/45.44 (assume @p953 (forall @t1211 (=> @t1350 (= (tptp.hAPP @t1166 @t1351) (tptp.hAPP @t1354 @t1209))))) % 45.25/45.44 (assume @p954 (forall @t225 (=> @t1350 (= @t1160 @t1355)))) % 45.25/45.44 (assume @p955 (forall @t1363 (=> @t1350 (= @t1362 (tptp.hAPP @t1360 (tptp.hAPP @t1358 @t1356)))))) % 45.25/45.44 (assume @p956 (forall @t1363 (=> @t1350 (= @t1362 (tptp.hAPP @t1364 @t1356))))) % 45.25/45.44 (assume @p957 (forall @t1369 (=> @t1350 (= @t1368 (tptp.hAPP @t1358 (tptp.hAPP @t1366 @t1359)))))) % 45.25/45.44 (assume @p958 (forall @t1369 (=> @t1350 (= @t1368 (tptp.hAPP @t1364 @t1365))))) % 45.25/45.44 (assume @p959 (forall @t1371 (=> @t1350 (= @t1370 (tptp.hAPP @t1358 (tptp.hAPP @t1366 @t1361)))))) % 45.25/45.44 (assume @p960 (forall @t1371 (=> @t1350 (= @t1370 (tptp.hAPP @t1360 (tptp.hAPP @t1367 @t1356)))))) % 45.25/45.44 (assume @p961 (forall @t1371 (=> @t1350 (= @t1370 (tptp.hAPP @t1364 (tptp.hAPP @t1366 @t1356)))))) % 45.25/45.44 (assume @p962 (forall @t1373 (= @t1345 (and @t1084 @t1372)))) % 45.25/45.44 (assume @p963 (forall @t1373 (= @t1084 @t1374))) % 45.25/45.44 (assume @p964 (forall @t1321 (=> @t1328 @t1376))) % 45.25/45.44 (assume @p965 (forall @t1321 (=> @t1376 (=> @t1378 @t1328)))) % 45.25/45.44 (assume @p966 (forall @t1321 (=> (or @t1328 @t1377) @t1376))) % 45.25/45.44 (assume @p967 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t1379 @t1254)))) % 45.25/45.44 (assume @p968 (forall @t1382 (tptp.hBOOL (tptp.hAPP @t1375 @t1381)))) % 45.25/45.44 (assume @p969 (forall @t1383 (tptp.hBOOL (tptp.hAPP @t1379 @t1308)))) % 45.25/45.44 (assume @p970 (forall @t1383 (tptp.hBOOL (tptp.hAPP @t1379 @t1322)))) % 45.25/45.44 (assume @p971 (forall @t1382 (tptp.hBOOL (tptp.hAPP @t1375 (tptp.hAPP @t1305 @t1381))))) % 45.25/45.44 (assume @p972 (forall @t1373 (= @t1084 (exists @t1386 (= @t445 @t1385))))) % 45.25/45.44 (assume @p973 (forall @t1321 (or @t1376 @t1387))) % 45.25/45.44 (assume @p974 (forall @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1302) @t1301)) @t1084))) % 45.25/45.44 (assume @p975 (forall @t1321 (=> @t1377 @t1376))) % 45.25/45.44 (assume @p976 (forall @t1342 (=> @t1389 (tptp.hBOOL (tptp.hAPP @t1388 @t1343))))) % 45.25/45.44 (assume @p977 (forall @t1342 (=> @t1389 (tptp.hBOOL (tptp.hAPP @t1388 @t1341))))) % 45.25/45.44 (assume @p978 (forall @t1326 (=> @t1389 (tptp.hBOOL (tptp.hAPP @t1390 @t1340))))) % 45.25/45.44 (assume @p979 (forall @t1326 (=> @t1389 (tptp.hBOOL (tptp.hAPP @t1393 @t1391))))) % 45.25/45.44 (assume @p980 (forall @t1326 (=> @t1389 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1395) @t1394))))) % 45.25/45.44 (assume @p981 (forall @t1326 (=> @t1389 (=> (tptp.hBOOL (tptp.hAPP @t1282 @t1258)) (tptp.hBOOL (tptp.hAPP @t1388 @t1258)))))) % 45.25/45.44 (assume @p982 (forall @t1321 (=> @t1376 (=> @t1387 @t1377)))) % 45.25/45.44 (assume @p983 (forall @t1339 (=> @t1389 (=> @t1396 (tptp.hBOOL (tptp.hAPP @t1390 @t1335)))))) % 45.25/45.44 (assume @p984 (forall @t1339 (=> @t1389 (=> @t1396 (tptp.hBOOL (tptp.hAPP @t1393 (tptp.hAPP @t1277 @t1331))))))) % 45.25/45.44 (assume @p985 (forall @t1399 (=> @t1398 @t1261))) % 45.25/45.44 (assume @p986 (forall @t1399 (=> @t1398 @t1376))) % 45.25/45.44 (assume @p987 (forall @t1399 (=> @t1398 (not (=> @t1376 (not @t1261)))))) % 45.25/45.44 (assume @p988 (forall @t1153 (= (tptp.hBOOL (tptp.hAPP @t1404 @t1403)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1401) @t1143))))) % 45.25/45.44 (assume @p989 (forall @t1321 (=> @t1406 @t1405))) % 45.25/45.44 (assume @p990 (forall (@list @t1254 @t1258 @t1273) (=> @t1409 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t1407 @t1254)) @t1258))))) % 45.25/45.44 (assume @p991 (forall @t1413 (=> @t1328 (=> (tptp.hBOOL (tptp.hAPP @t1327 @t1331)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1412) @t1411)))))) % 45.25/45.44 (assume @p992 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t1144 @t1416) @t1255) (tptp.hAPP @t1415 @t1255)))) % 45.25/45.44 (assume @p993 (forall @t1262 (= (tptp.hAPP @t1313 @t1257) (tptp.hAPP (tptp.hAPP @t1091 @t1315) @t1314)))) % 45.25/45.44 (assume @p994 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t1091 @t1308) @t1254) @t1255))) % 45.25/45.44 (assume @p995 (forall @t1383 (= (tptp.hAPP @t1417 @t1254) @t1255))) % 45.25/45.44 (assume @p996 (forall @t1326 (= @t1418 (tptp.hAPP @t1275 @t1340)))) % 45.25/45.44 (assume @p997 (forall @t1326 (= @t1418 (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP @t1275 @t1258)) @t1273)))) % 45.25/45.44 (assume @p998 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1264 @t1257) @t1258) (tptp.hAPP (tptp.hAPP @t1091 @t1306) @t1304)))) % 45.25/45.44 (assume @p999 (forall @t1262 (= (tptp.hAPP (tptp.hAPP @t1091 @t1419) @t1330) @t1257))) % 45.25/45.44 (assume @p1000 (forall @t1399 (= (tptp.hAPP @t1420 @t1312) @t1257))) % 45.25/45.44 (assume @p1001 (forall (@list @t1254 @t1274 @t1255) (= (tptp.hAPP (tptp.hAPP @t1421 (tptp.hAPP @t1256 @t1274)) @t1423) (tptp.hAPP (tptp.hAPP @t1091 @t1422) @t1274)))) % 45.25/45.44 (assume @p1002 (forall @t82 (=> @t1350 (= (tptp.hAPP @t1158 @t1231) (tptp.hAPP (tptp.hAPP @t1161 @t1425) @t1424))))) % 45.25/45.44 (assume @p1003 (forall @t181 (=> @t1428 (= (and @t853 (not @t696)) (not (= (tptp.hAPP (tptp.hAPP @t1130 @t1427) (tptp.hAPP @t1135 @t170)) (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1137 @t170)) @t1426))))))) % 45.25/45.44 (assume @p1004 (forall @t96 (=> @t1350 @t1187))) % 45.25/45.44 (assume @p1005 (forall (@list @t87 @t1255 @t83 @t35) (=> @t1350 (= (tptp.hAPP @t1430 (tptp.hAPP @t1169 @t1255)) (tptp.hAPP @t1186 @t1255))))) % 45.25/45.44 (assume @p1006 (forall (@list @t348 @t49 @t99 @t1432 @t10) (=> @t1428 (= (= (tptp.hAPP (tptp.hAPP @t1130 @t1435) @t1434) (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1433 @t348)) (tptp.hAPP @t1116 @t99))) (or (= @t1432 @t49) @t1431))))) % 45.25/45.44 (assume @p1007 (forall @t1439 (=> @t1152 (= @t1438 (tptp.hBOOL (tptp.hAPP @t1344 @t1437)))))) % 45.25/45.44 (assume @p1008 (forall @t1271 (=> @t1270 (= @t1438 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1265) @t445)))))) % 45.25/45.44 (assume @p1009 (forall @t1440 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t83) @t87)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t84) @t83)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP (tptp.hAPP @t1091 @t83) @t84)) (tptp.hAPP (tptp.hAPP @t1091 @t87) @t84))))))) % 45.25/45.44 (assume @p1010 (forall @t1253 (=> @t1252 (=> @t1251 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1249) @t1247)) @t1345))))) % 45.25/45.44 (assume @p1011 (forall @t1321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1257) @t1255)))) % 45.25/45.44 (assume @p1012 (forall @t1443 (=> @t1442 (= (tptp.hAPP @t1275 @t1441) (tptp.hAPP (tptp.hAPP @t1091 @t1336) @t1273))))) % 45.25/45.44 (assume @p1013 (forall (@list @t749 @t160 @t1143) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1403) @t749)) (tptp.hBOOL (tptp.hAPP @t1269 @t1401))))) % 45.25/45.44 (assume @p1014 (forall @t1444 (=> @t1261 (tptp.hBOOL (tptp.hAPP @t1375 (tptp.hAPP @t1417 @t1258)))))) % 45.25/45.44 (assume @p1015 (forall @t1413 (=> @t1376 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1412) @t1411))))) % 45.25/45.44 (assume @p1016 (forall @t1413 (=> @t1376 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t1256 @t1331)) (tptp.hAPP @t1259 @t1331)))))) % 45.25/45.44 (assume @p1017 (forall @t1445 (=> (tptp.hBOOL (tptp.hAPP @t1388 @t1254)) (= (tptp.hAPP @t1259 @t1423) @t1274)))) % 45.25/45.44 (assume @p1018 (forall @t1383 (=> @t1387 @t1405))) % 45.25/45.44 (assume @p1019 (forall @t1443 (=> @t1442 (= @t1447 @t1446)))) % 45.25/45.44 (assume @p1020 (forall (@list @t749 @t1143 @t160) (=> (tptp.hBOOL (tptp.hAPP @t1250 @t1143)) (= (tptp.hBOOL (tptp.hAPP @t1151 @t1403)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1401) @t1143)))))) % 45.25/45.44 (assume @p1021 (forall @t1383 (=> @t1387 (= (tptp.hAPP (tptp.hAPP @t1144 @t1257) @t1254) @t1255)))) % 45.25/45.44 (assume @p1022 (forall @t1153 (=> @t1152 (= (= @t1436 @t160) (= @t1143 (tptp.hAPP @t1300 @t749)))))) % 45.25/45.44 (assume @p1023 (forall @t1443 (=> @t1442 (= @t1446 @t1447)))) % 45.25/45.44 (assume @p1024 (forall @t1443 (=> @t1442 (= @t1449 @t1448)))) % 45.25/45.44 (assume @p1025 (forall @t1443 (=> @t1442 (= @t1448 @t1449)))) % 45.25/45.44 (assume @p1026 (forall @t1439 (=> @t1152 (= @t1284 (= @t402 @t1437))))) % 45.25/45.44 (assume @p1027 (forall (@list @t1254 @t1255 @t1272 @t1273 @t1274) (=> @t1389 (= @t1281 (tptp.hAPP @t1256 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t1450) @t1272)) @t1254)))))) % 45.25/45.44 (assume @p1028 (forall @t1439 (=> @t1152 (= @t1268 (tptp.hBOOL (tptp.hAPP @t1083 @t1437)))))) % 45.25/45.44 (assume @p1029 (forall @t1319 (=> @t1453 @t1452))) % 45.25/45.44 (assume @p1030 (forall @t1454 (=> (tptp.hBOOL (tptp.hAPP @t1451 @t72)) @t1452))) % 45.25/45.44 (assume @p1031 (forall @t839 (=> @t1240 (=> (forall @t633 (= (tptp.hAPP @t761 @t1245) (tptp.hAPP (tptp.hAPP @t1111 @t836) @t835))) (=> @t834 (=> @t833 (= (tptp.hAPP @t761 (tptp.hAPP @t1112 @t830)) (tptp.hAPP @t1112 @t832)))))))) % 45.25/45.44 (assume @p1032 (forall (@list @t153 @t49 @t25 @t171 @t10) (=> @t1115 (=> (tptp.hBOOL (tptp.hAPP @t1456 @t49)) (=> @t852 (=> @t1455 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1111 @t153 (tptp.hAPP @t491 @t743)) @t49)))))))) % 45.25/45.44 (assume @p1033 (forall @t1109 (=> @t1463 (=> @t675 (=> @t843 (= @t1462 @t1461)))))) % 45.25/45.44 (assume @p1034 (forall (@list @t1 @t2 @t170 @t171 @t174 @t153 @t10 @t40) (=> (and @t1104 @t620) (=> @t497 (=> @t496 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t175 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t528 @t170)) @t6))) (= (tptp.hAPP @t1060 @t180) (tptp.hAPP @t1102 @t179)))))))) % 45.25/45.44 (assume @p1035 (forall @t533 (=> @t116 (=> @t675 (=> @t901 (= @t680 @t1465)))))) % 45.25/45.44 (assume @p1036 (forall @t533 (=> @t116 (=> @t675 (=> @t901 (= @t707 @t1467)))))) % 45.25/45.44 (assume @p1037 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t1414)) % 45.25/45.44 (assume @p1038 (forall @t1380 (not (tptp.hBOOL (tptp.hAPP @t1468 @t1254))))) % 45.25/45.44 (assume @p1039 (forall @t1373 (= @t1372 (or @t1345 @t1470)))) % 45.25/45.44 (assume @p1040 (forall @t1473 (=> @t450 (=> (not @t1472) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t66) @t34)))))) % 45.25/45.44 (assume @p1041 (forall @t1383 (=> @t1474 @t1378))) % 45.25/45.44 (assume @p1042 (forall (@list @t1475 @t1476) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1476) @t1475)) (not (= @t1476 @t1475))))) % 45.25/45.44 (assume @p1043 (forall (@list @t58 @t445 @t402) (=> (=> @t1345 @t1478) (=> (=> @t1263 @t1478) (=> (=> @t1470 @t1478) @t1478))))) % 45.25/45.44 (assume @p1044 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t1421)) % 45.25/45.44 (assume @p1045 (forall (@list @t348 @t2 @t10 @t40) (= (tptp.hAPP @t1479 @t573) @t348))) % 45.25/45.44 (assume @p1046 (forall (@list @t49 @t348 @t2 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1481 @t49)) @t1480))) % 45.25/45.44 (assume @p1047 (forall @t1482 (tptp.hBOOL (tptp.hAPP @t1481 @t348)))) % 45.25/45.44 (assume @p1048 (forall (@list @t49 @t25 @t348 @t2 @t40 @t10) (=> @t1484 @t675))) % 45.25/45.44 (assume @p1049 (forall @t1488 (=> @t901 (=> @t1487 (tptp.hBOOL (tptp.hAPP @t1486 @t1485)))))) % 45.25/45.44 (assume @p1050 (forall @t33 (=> @t675 (= @t251 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t27 @t440) @t24) @t25))))) % 45.25/45.44 (assume @p1051 (forall @t1492 (=> @t347 (=> @t675 (= (tptp.hAPP @t1490 @t501) (tptp.hAPP @t535 @t1491)))))) % 45.25/45.44 (assume @p1052 (forall @t1492 (=> @t344 (=> @t675 (= (tptp.hAPP @t1494 @t501) (tptp.hAPP @t538 @t1495)))))) % 45.25/45.44 (assume @p1053 (forall @t1492 (=> @t116 (=> @t675 (= (tptp.hAPP @t1496 @t501) (tptp.hAPP @t946 @t1497)))))) % 45.25/45.44 (assume @p1054 (forall @t1492 (=> @t116 (=> @t675 (= (tptp.hAPP @t1498 @t501) (tptp.hAPP @t552 @t1499)))))) % 45.25/45.44 (assume @p1055 (forall @t33 (=> @t155 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t291 @t24) @t207) (tptp.hAPP (tptp.hAPP @t1489 @t24) @t25)))))) % 45.25/45.44 (assume @p1056 (forall @t33 (=> @t155 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t294 @t24) @t210) (tptp.hAPP (tptp.hAPP @t1493 @t24) @t25)))))) % 45.25/45.44 (assume @p1057 (forall @t1319 (=> @t1472 @t1500))) % 45.25/45.44 (assume @p1058 (forall @t1454 (=> (tptp.hBOOL (tptp.hAPP @t1471 @t72)) @t1500))) % 45.25/45.44 (assume @p1059 (forall (@list @t153 @t25 @t757 @t2 @t10) (=> @t1044 (=> @t675 (= (tptp.hAPP @t757 @t501) (tptp.hAPP (tptp.hAPP @t1501 @t153) @t25)))))) % 45.25/45.44 (assume @p1060 (forall @t1473 (=> @t1472 @t1453))) % 45.25/45.44 (assume @p1061 (forall @t1067 (=> @t1463 (=> @t675 (=> @t897 (= (tptp.hAPP @t1502 @t501) (tptp.hAPP (tptp.hAPP @t1459 @t579) @t1503))))))) % 45.25/45.44 (assume @p1062 (forall @t1109 (=> @t1463 (=> @t675 (=> @t901 (= @t1504 (tptp.hAPP @t1460 @t1462))))))) % 45.25/45.44 (assume @p1063 (forall @t1239 (=> @t1463 (=> @t675 (=> @t674 (= (tptp.hAPP (tptp.hAPP @t1459 @t1507) (tptp.hAPP @t1458 @t256)) @t1506)))))) % 45.25/45.44 (assume @p1064 (forall (@list @t348 @t99 @t25 @t171 @t10) (=> @t1115 (=> (tptp.hBOOL (tptp.hAPP @t1456 @t99)) (=> @t1455 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1111 @t348 @t854) (tptp.hAPP @t1508 @t99)))))))) % 45.25/45.44 (assume @p1065 (forall @t1509 (=> @t347 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t547) @t1491))))))) % 45.25/45.44 (assume @p1066 (forall @t1509 (=> @t344 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1495) @t548))))))) % 45.25/45.44 (assume @p1067 (forall @t1509 (=> @t116 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1497) (tptp.hAPP @t946 @t171)))))))) % 45.25/45.44 (assume @p1068 (forall @t1509 (=> @t116 (=> @t675 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t552 @t171)) @t1499))))))) % 45.25/45.44 (assume @p1069 (forall @t53 (=> @t155 (=> @t675 (= @t207 (tptp.hAPP (tptp.hAPP @t1489 @t145) @t25)))))) % 45.25/45.44 (assume @p1070 (forall @t53 (=> @t155 (=> @t675 (= @t210 (tptp.hAPP (tptp.hAPP @t1493 @t148) @t25)))))) % 45.25/45.44 (assume @p1071 (forall @t766 (=> @t1240 (=> @t675 @t1510)))) % 45.25/45.44 (assume @p1072 (forall @t766 (=> @t292 (=> @t675 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t501) (tptp.hAPP (tptp.hAPP @t1489 @t153) @t25)))))) % 45.25/45.44 (assume @p1073 (forall @t766 (=> @t292 (=> @t675 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t501) (tptp.hAPP (tptp.hAPP @t1493 @t153) @t25)))))) % 45.25/45.44 (assume @p1074 (forall @t766 (=> @t116 (=> @t675 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t501) @t1511))))) % 45.25/45.44 (assume @p1075 (forall @t766 (=> @t116 (=> @t675 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t501) @t1512))))) % 45.25/45.44 (assume @p1076 (forall @t766 (=> @t116 (=> @t675 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t501) @t1511))))) % 45.25/45.44 (assume @p1077 (forall @t766 (=> @t116 (=> @t675 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t501) @t1512))))) % 45.25/45.44 (assume @p1078 (forall @t824 (=> @t814 (=> @t675 (=> @t901 (= @t823 (tptp.hAPP (tptp.hAPP @t1501 @t49) @t25))))))) % 45.25/45.44 (assume @p1079 (forall @t1241 (=> @t1463 (=> @t675 (= @t1504 @t1461))))) % 45.25/45.44 (assume @p1080 (forall @t1239 (=> @t1463 (=> @t675 (=> @t674 (=> @t385 @t1513)))))) % 45.25/45.44 (assume @p1081 (forall @t1514 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t40 @t2 @t348 @t705) @t99)) (=> @t843 (tptp.hBOOL (tptp.hAPP @t1483 @t1485)))))) % 45.25/45.44 (assume @p1082 (forall @t766 (=> @t1115 (=> @t675 (=> @t897 @t1510))))) % 45.25/45.44 (assume @p1083 (forall @t533 (=> @t292 (=> @t675 (=> @t901 (= @t993 (tptp.hAPP (tptp.hAPP @t1489 @t49) @t25))))))) % 45.25/45.44 (assume @p1084 (forall @t533 (=> @t292 (=> @t675 (=> @t901 (= @t995 (tptp.hAPP (tptp.hAPP @t1493 @t49) @t25))))))) % 45.25/45.44 (assume @p1085 (forall @t533 (=> @t116 (=> @t675 (=> @t901 (= @t997 @t1467)))))) % 45.25/45.44 (assume @p1086 (forall @t533 (=> @t116 (=> @t675 (=> @t901 (= @t1000 @t1465)))))) % 45.25/45.44 (assume @p1087 (forall @t1520 (=> @t1519 (=> @t675 (=> @t843 (= @t1518 @t1517)))))) % 45.25/45.44 (assume @p1088 (forall (@list @t49 @t25 @t153 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t153 @t25) @t49)) (=> @t897 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t501) @t49)))))) % 45.25/45.44 (assume @p1089 (forall @t1522 (=> @t1519 (=> @t675 (= @t1521 @t1517))))) % 45.25/45.44 (assume @p1090 (forall @t1520 (=> @t1519 (=> @t675 (=> @t901 @t1524))))) % 45.25/45.44 (assume @p1091 (forall @t1520 (=> @t1519 (=> @t675 (=> @t901 @t1527))))) % 45.25/45.44 (assume @p1092 (forall @t533 (=> @t675 (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1530) @t1529)))))) % 45.25/45.44 (assume @p1093 (forall (@list @t99 @t49 @t25 @t10) (=> @t675 (=> @t843 (=> @t887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t1528 (tptp.hAPP (tptp.hAPP @t686 @t705) @t1531))) @t1529))))))) % 45.25/45.44 (assume @p1094 (forall @t1032 (=> @t1519 (= (tptp.hAPP @t51 (tptp.hAPP @t113 @t348)) (tptp.hAPP @t113 @t1525))))) % 45.25/45.44 (assume @p1095 (forall @t1533 (= (tptp.hAPP @t1532 (tptp.hAPP @t1285 @t236)) @t236))) % 45.25/45.44 (assume @p1096 (forall @t144 (=> @t1115 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t10 @t1111)))) % 45.25/45.44 (assume @p1097 (forall @t53 (=> @t770 (=> (= @t1529 @t1534) (= @t25 @t143))))) % 45.25/45.44 (assume @p1098 (forall @t575 (=> @t691 @t1537))) % 45.25/45.44 (assume @p1099 (forall @t1514 (=> @t1519 (=> @t1484 (=> @t1487 @t476))))) % 45.25/45.44 (assume @p1100 (forall (@list @t49 @t2 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t142) @t49))))) % 45.25/45.44 (assume @p1101 (forall (@list @t49 @t25 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1538 @t49)) @t678))) % 45.25/45.44 (assume @p1102 (forall (@list @t160 @t25) (=> (tptp.hBOOL (tptp.hAPP @t1542 @t1540)) (= @t25 @t1540)))) % 45.25/45.44 (assume @p1103 (forall @t1129 (= (tptp.hAPP @t1532 @t1127) @t1544))) % 45.25/45.44 (assume @p1104 (forall @t1129 (= (tptp.hAPP @t1532 @t1291) @t1544))) % 45.25/45.44 (assume @p1105 (forall @t533 (=> @t675 (tptp.hBOOL (tptp.hAPP @t1546 @t1545))))) % 45.25/45.44 (assume @p1106 (forall @t169 (=> @t674 (=> @t32 (tptp.hBOOL (tptp.hAPP @t1546 @t1547)))))) % 45.25/45.44 (assume @p1107 (forall @t169 (=> @t674 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1547) @t1529)) @t26))))) % 45.25/45.44 (assume @p1108 (forall @t1548 (=> @t675 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1536) @t1529))))) % 45.25/45.44 (assume @p1109 (forall @t1548 (=> @t675 (= @t691 @t1537)))) % 45.25/45.44 (assume @p1110 (forall @t1548 (=> @t675 (=> @t1537 @t691)))) % 45.25/45.44 (assume @p1111 (forall @t575 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t1528 @t571)) @t1549)) (not @t802)))) % 45.25/45.44 (assume @p1112 (forall @t169 (=> @t674 (=> @t522 @t1550)))) % 45.25/45.44 (assume @p1113 (forall @t1520 (=> @t1519 (=> @t675 (= @t1523 @t1526))))) % 45.25/45.44 (assume @p1114 (forall (@list @t99 @t25 @t348 @t2 @t40 @t10) (=> @t1519 (=> @t1487 (= @t1518 @t99))))) % 45.25/45.44 (assume @p1115 (forall (@list @t171 @t153 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t494) @t171)) @t429))) % 45.25/45.44 (assume @p1116 (forall @t33 (=> @t675 (=> @t674 (= @t1555 @t1552))))) % 45.25/45.44 (assume @p1117 (forall @t33 (=> @t675 (=> @t674 (= @t1552 @t1555))))) % 45.25/45.44 (assume @p1118 (forall @t1562 (=> @t691 (=> @t1561 (=> @t1560 (=> @t1559 (=> @t675 (=> @t798 @t1557)))))))) % 45.25/45.44 (assume @p1119 (forall @t169 (=> @t674 (=> @t30 (= @t1565 @t1564))))) % 45.25/45.44 (assume @p1120 (forall @t33 (=> (tptp.hBOOL (tptp.hAPP @t673 @t256)) (= @t1565 (tptp.hAPP @t1563 @t1553))))) % 45.25/45.44 (assume @p1121 (forall @t169 (=> @t674 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1564) @t1565))))) % 45.25/45.44 (assume @p1122 (forall @t169 (=> @t674 (=> @t32 (=> @t1550 @t522))))) % 45.25/45.44 (assume @p1123 (forall @t33 (=> @t675 (=> @t674 (=> @t385 @t1566))))) % 45.25/45.44 (assume @p1124 (forall @t533 (=> @t675 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1530) @t1529))))) % 45.25/45.44 (assume @p1125 (forall @t609 (=> @t691 (=> @t1561 (=> @t798 @t1567))))) % 45.25/45.44 (assume @p1126 (forall @t781 (=> @t675 (=> @t798 (= (exists @t619 (and @t808 (tptp.hBOOL (tptp.hAPP @t807 @t24)))) @t1567))))) % 45.25/45.44 (assume @p1127 (forall (@list @t348 @t25 @t2 @t40 @t10) (=> @t1519 (=> @t675 (tptp.hBOOL (tptp.hAPP @t1483 @t1518)))))) % 45.25/45.44 (assume @p1128 (forall (@list @t153 @t99 @t25 @t348 @t2 @t40 @t10) (=> @t1519 (=> @t1487 (=> @t852 (exists (@list @t1568) (and (= @t99 (tptp.hAPP @t579 @t1568)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t40 @t2 @t348 @t743) @t1568))))))))) % 45.25/45.44 (assume @p1129 (forall @t533 (=> @t675 @t1570))) % 45.25/45.44 (assume @p1130 (forall @t533 (=> @t675 (and @t1570 (=> @t901 (= @t1530 @t1529)))))) % 45.25/45.44 (assume @p1131 (forall @t533 (=> @t675 (=> @t843 (= @t1529 @t1572))))) % 45.25/45.44 (assume @p1132 (forall @t533 (=> @t675 (= @t1545 @t1572)))) % 45.25/45.44 (assume @p1133 (forall @t506 (=> @t675 (=> @t852 (=> @t859 (= (tptp.hAPP @t1528 @t742) (tptp.hAPP (tptp.hAPP @t1091 @t1565) @t1569))))))) % 45.25/45.44 (assume @p1134 (forall @t533 (=> @t675 (=> @t843 (= @t1573 @t1529))))) % 45.25/45.44 (assume @p1135 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t1468 @t1574)))) % 45.25/45.44 (assume @p1136 (forall @t1321 (=> @t1328 @t1577))) % 45.25/45.44 (assume @p1137 (= (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))) @t1569)) % 45.25/45.44 (assume @p1138 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1091 @t1574) @t1569) @t1254))) % 45.25/45.44 (assume @p1139 (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 45.25/45.44 (assume @p1140 (forall @t1195 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t830))) % 45.25/45.44 (assume @p1141 (forall @t1380 (not (= @t1254 @t1574)))) % 45.25/45.44 (assume @p1142 (forall @t1380 (not (= @t1574 @t1254)))) % 45.25/45.44 (assume @p1143 (forall (@list @t1578 @t1579) (= (= @t1580 (tptp.hAPP tptp.c_Nat_OSuc @t1578)) (= @t1579 @t1578)))) % 45.25/45.44 (assume @p1144 (forall @t1473 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t34) (tptp.hAPP tptp.c_Nat_OSuc @t66)) @t78))) % 45.25/45.44 (assume @p1145 (forall @t1287 (= @t1585 @t1582))) % 45.25/45.44 (assume @p1146 (forall @t195 (=> (tptp.class_Groups_Oone @t10) (= (= @t1586 @t49) @t1587)))) % 45.25/45.44 (assume @p1147 (forall @t1287 (= (tptp.hAPP @t1581 @t1583) (tptp.hAPP (tptp.hAPP @t1591 @t1582) (tptp.hAPP @t1590 @t1588))))) % 45.25/45.44 (assume @p1148 (forall @t1287 (= @t1585 (tptp.hAPP (tptp.hAPP @t1591 (tptp.hAPP @t1584 @t160)) (tptp.hAPP @t1592 @t1588))))) % 45.25/45.44 (assume @p1149 (forall @t771 (=> @t107 (= (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat @t10 @t2) (forall @t1596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1595) (tptp.hAPP @t2 @t1594)))))))) % 45.25/45.44 (assume @p1150 (forall @t331 (=> @t1599 @t1598))) % 45.25/45.44 (assume @p1151 (forall @t331 (=> @t1600 @t1598))) % 45.25/45.44 (assume @p1152 (forall @t331 (=> @t1599 @t1601))) % 45.25/45.44 (assume @p1153 (forall @t331 (=> @t1600 @t1601))) % 45.25/45.44 (assume @p1154 (forall @t331 (=> @t1350 @t1598))) % 45.25/45.44 (assume @p1155 (forall @t331 (=> @t1350 @t1601))) % 45.25/45.44 (assume @p1156 (forall @t1373 (= (not @t1345) @t1603))) % 45.25/45.44 (assume @p1157 (forall @t1373 (= @t1605 @t1374))) % 45.25/45.44 (assume @p1158 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1602) @t1604)) @t1345))) % 45.25/45.44 (assume @p1159 (forall @t1609 (=> @t1608 @t1607))) % 45.25/45.44 (assume @p1160 (forall @t1383 (=> (not @t1474) (=> (tptp.hBOOL (tptp.hAPP @t1468 @t1575)) @t1377)))) % 45.25/45.44 (assume @p1161 (forall @t1321 (=> @t1328 @t1610))) % 45.25/45.44 (assume @p1162 (forall @t1321 (=> @t1328 (=> (not (= @t1575 @t1254)) @t1611)))) % 45.25/45.44 (assume @p1163 (forall @t1326 (=> @t1338 (=> @t1409 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1612) @t1258)))))) % 45.25/45.44 (assume @p1164 (forall @t1321 (=> @t1610 (=> @t1406 @t1377)))) % 45.25/45.44 (assume @p1165 (forall @t1321 (=> @t1611 @t1328))) % 45.25/45.44 (assume @p1166 (forall @t1321 (=> @t1577 @t1328))) % 45.25/45.44 (assume @p1167 (forall @t1321 (= @t1614 @t1613))) % 45.25/45.44 (assume @p1168 (forall @t1321 (= @t1615 @t1613))) % 45.25/45.44 (assume @p1169 (forall @t1321 (= @t1615 @t1614))) % 45.25/45.44 (assume @p1170 (forall @t1380 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1574) @t1254))))) % 45.25/45.44 (assume @p1171 (forall @t1373 (= @t1618 @t1617))) % 45.25/45.44 (assume @p1172 (forall @t1373 (= @t1619 (or @t1084 (= @t402 @t1604))))) % 45.25/45.44 (assume @p1173 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP @t1616 @t1602)) @t1620))) % 45.25/45.44 (assume @p1174 (forall @t1321 (=> @t1376 @t1621))) % 45.25/45.44 (assume @p1175 (forall @t1321 (=> @t1621 (=> (not @t1376) (= @t1255 @t1574))))) % 45.25/45.44 (assume @p1176 (forall @t1321 (=> @t1622 @t1376))) % 45.25/45.44 (assume @p1177 (forall @t1627 (=> @t759 (= (= (tptp.hAPP @t1626 @t757) @t1569) (forall @t7 (=> @t1624 @t1623)))))) % 45.25/45.44 (assume @p1178 (forall @t1321 (= (tptp.hAPP @t1628 @t1574) @t1257))) % 45.25/45.44 (assume @p1179 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1091 @t1629) (tptp.hAPP tptp.c_Nat_OSuc @t1258)) (tptp.hAPP (tptp.hAPP @t1091 @t1257) @t1258)))) % 45.25/45.44 (assume @p1180 (forall @t1253 (= (= @t1632 @t1631) @t1263))) % 45.25/45.44 (assume @p1181 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1264 @t1569) @t1254) @t1254))) % 45.25/45.44 (assume @p1182 (forall @t1373 (= (= @t1569 @t1635) @t1633))) % 45.25/45.44 (assume @p1183 (forall @t1380 (= (tptp.hAPP @t1303 @t1569) @t1254))) % 45.25/45.44 (assume @p1184 (forall @t1373 (= (= @t1635 @t1569) @t1633))) % 45.25/45.44 (assume @p1185 (forall @t1639 (= (tptp.hAPP @t1638 @t1148) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1637) @t1636)))) % 45.25/45.44 (assume @p1186 (forall @t1640 (= (tptp.hAPP @t1076 @t1602) (tptp.hAPP (tptp.hAPP @t1589 @t402) @t1588)))) % 45.25/45.44 (assume @p1187 (forall @t1639 (= (tptp.hAPP @t1638 @t1641) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1637 @t1636)))) % 45.25/45.44 (assume @p1188 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t1421 @t1575) @t1574) (tptp.hAPP tptp.c_Nat_OSuc @t1422)))) % 45.25/45.44 (assume @p1189 (forall @t1287 (= @t1642 (tptp.hAPP @t1592 @t1286)))) % 45.25/45.44 (assume @p1190 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t1414 @t1575) @t1574) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1414 @t1255) @t1254))))) % 45.25/45.44 (assume @p1191 (forall @t1287 (= (tptp.hAPP @t1288 @t1583) (tptp.hAPP @t1590 @t1289)))) % 45.25/45.44 (assume @p1192 (forall @t1533 (= (tptp.hAPP @t1532 (tptp.hAPP @t1288 @t236)) @t1643))) % 45.25/45.44 (assume @p1193 (forall @t331 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t463 @t1644))))) % 45.25/45.44 (assume @p1194 (forall @t1647 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP @t1646 @t1255)) (=> (tptp.hBOOL (tptp.hAPP @t1646 @t1254)) (tptp.hBOOL (tptp.hAPP @t1646 (tptp.hAPP (tptp.hAPP @t1154 @t1255) @t1254)))))))) % 45.25/45.44 (assume @p1195 (forall (@list @t1255 @t83 @t35) (=> @t1350 (= (tptp.hAPP @t1430 @t1255) @t1648)))) % 45.25/45.44 (assume @p1196 (forall (@list @t83 @t1255 @t35) (=> @t1350 (= (tptp.hAPP @t1649 @t1429) @t1648)))) % 45.25/45.44 (assume @p1197 (forall @t1653 (=> @t1350 (= (tptp.hAPP @t1649 @t1255) (tptp.hAPP @t1652 @t1255))))) % 45.25/45.44 (assume @p1198 (forall @t195 (=> @t1656 (= (= @t1655 @t1586) (or @t1587 (= @t49 @t1654)))))) % 45.25/45.44 (assume @p1199 (forall @t39 (=> @t1244 (= @t220 (tptp.hAPP (tptp.hAPP @t1154 @t1657) @t34))))) % 45.25/45.44 (assume @p1200 (forall @t1659 (tptp.hBOOL (tptp.hAPP @t1324 (tptp.hAPP tptp.c_Nat_OSuc @t1658))))) % 45.25/45.44 (assume @p1201 (forall @t1659 (tptp.hBOOL (tptp.hAPP @t1324 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1307 @t1274)))))) % 45.25/45.44 (assume @p1202 (forall @t1373 (= @t1345 (exists @t1386 (= @t445 (tptp.hAPP tptp.c_Nat_OSuc @t1385)))))) % 45.25/45.44 (assume @p1203 (forall @t1609 (= @t1470 @t1617))) % 45.25/45.44 (assume @p1204 (forall @t1373 (= @t1605 @t1084))) % 45.25/45.44 (assume @p1205 (forall @t1373 (= @t1660 @t1345))) % 45.25/45.44 (assume @p1206 (forall @t1321 (=> @t1376 @t1610))) % 45.25/45.44 (assume @p1207 (forall @t1321 (=> @t1328 @t1622))) % 45.25/45.44 (assume @p1208 (forall @t1373 (=> @t1084 @t1607))) % 45.25/45.44 (assume @p1209 (forall @t1321 (=> @t1622 @t1328))) % 45.25/45.44 (assume @p1210 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t1661 @t1575)))) % 45.25/45.44 (assume @p1211 (forall @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1632) @t1631)) @t1345))) % 45.25/45.44 (assume @p1212 (forall @t1321 (= (tptp.hAPP @t1305 @t1574) (tptp.hAPP @t1307 @t1310)))) % 45.25/45.44 (assume @p1213 (forall @t1321 (= (tptp.hAPP (tptp.hAPP @t1264 @t1575) @t1254) (tptp.hAPP @t1311 @t1310)))) % 45.25/45.44 (assume @p1214 (forall @t1383 (=> @t1387 (= @t1629 (tptp.hAPP tptp.c_Nat_OSuc @t1257))))) % 45.25/45.44 (assume @p1215 (forall @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1632) @t1631)) @t1084))) % 45.25/45.44 (assume @p1216 (forall @t1665 (=> @t1664 (= (tptp.hAPP @t1663 @t573) @t1586)))) % 45.25/45.44 (assume @p1217 (forall @t688 (=> @t1664 (= (tptp.hAPP @t1666 @t573) @t1586)))) % 45.25/45.44 (assume @p1218 (forall @t1670 (=> @t1463 @t1669))) % 45.25/45.44 (assume @p1219 (forall @t1671 (=> @t1463 (=> @t1668 (= @t1503 @t1667))))) % 45.25/45.44 (assume @p1220 (forall @t1373 (and (=> @t1084 (= @t1672 (tptp.hAPP (tptp.hAPP @t1589 @t445) @t1077))) (=> @t1618 (= @t1672 @t1588))))) % 45.25/45.44 (assume @p1221 (forall @t1373 (=> @t1619 (= @t1674 (tptp.hAPP (tptp.hAPP @t1589 @t1604) @t1673))))) % 45.25/45.44 (assume @p1222 (forall @t1129 (= (tptp.hAPP @t1532 @t1290) (tptp.hAPP (tptp.hAPP @t1091 @t1643) @t159)))) % 45.25/45.44 (assume @p1223 (forall @t1129 (= (tptp.hAPP @t1126 @t1643) @t1290))) % 45.25/45.44 (assume @p1224 (forall @t1287 (= @t1642 @t1289))) % 45.25/45.44 (assume @p1225 (forall @t1129 (= (tptp.hAPP @t1532 @t1292) (tptp.hAPP @t1543 @t1675)))) % 45.25/45.44 (assume @p1226 (forall @t1129 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1675 @t236) @t1291))) % 45.25/45.44 (assume @p1227 (forall @t1129 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1675) @t236) @t1292))) % 45.25/45.44 (assume @p1228 (forall @t1678 (=> @t1442 (= (tptp.hAPP (tptp.hAPP @t1091 @t1677) @t1255) (tptp.hAPP (tptp.hAPP @t1091 @t1676) @t1419))))) % 45.25/45.44 (assume @p1229 (forall @t1678 (=> @t1442 (= (tptp.hAPP @t1256 @t1677) (tptp.hAPP @t1420 @t1676))))) % 45.25/45.44 (assume @p1230 (forall @t533 (=> @t675 @t1679))) % 45.25/45.44 (assume @p1231 (forall @t533 (=> @t675 (and (=> @t843 (= @t1545 @t1529)) @t1679)))) % 45.25/45.44 (assume @p1232 (forall @t1682 (=> @t1132 (=> @t1345 (= @t1078 (tptp.hAPP @t1681 (tptp.hAPP @t1074 (tptp.hAPP @t1680 @t445)))))))) % 45.25/45.44 (assume @p1233 (forall @t1682 (=> @t1132 (=> @t1084 (= @t1683 (tptp.hAPP @t1681 (tptp.hAPP @t1074 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1602 @t445)))))))) % 45.25/45.44 (assume @p1234 (forall @t533 (=> @t675 (= @t1545 @t1573)))) % 45.25/45.44 (assume @p1235 (forall @t533 (=> @t675 (=> @t901 (= @t1545 (tptp.hAPP @t1571 @t1529)))))) % 45.25/45.44 (assume @p1236 (forall (@list @t1072 @t2 @t445 @t402 @t10) (=> @t1132 (=> (tptp.hBOOL (tptp.hAPP @t1083 @t1685)) (= (tptp.hAPP @t1074 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t402 @t1684)) (tptp.hAPP @t1686 (tptp.hAPP @t1074 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1685 @t1684)))))))) % 45.25/45.44 (assume @p1237 (forall @t1321 (= (tptp.hAPP @t1256 @t1574) (tptp.hAPP (tptp.hAPP @t1091 @t1687) @t1254)))) % 45.25/45.44 (assume @p1238 (forall @t1380 (= @t1574 @t1688))) % 45.25/45.44 (assume @p1239 (forall @t1380 (= @t1574 @t1689))) % 45.25/45.44 (assume @p1240 (forall @t1698 (=> @t1463 (=> @t979 (=> @t1697 (=> @t1696 (= (tptp.hAPP @t1502 @t1693) (tptp.hAPP (tptp.hAPP @t1459 @t1692) @t1691)))))))) % 45.25/45.44 (assume @p1241 (forall @t1239 (=> @t1463 (=> @t675 (=> @t674 (=> (forall @t7 (=> @t1699 (= @t4 @t1667))) @t1513)))))) % 45.25/45.44 (assume @p1242 (forall @t788 (=> @t804 (=> (not (= (tptp.hAPP @t1535 @t615) @t1701)) @t770)))) % 45.25/45.44 (assume @p1243 (forall @t1380 (not (tptp.hBOOL (tptp.hAPP @t1468 @t1700))))) % 45.25/45.44 (assume @p1244 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t1702 @t1254)))) % 45.25/45.44 (assume @p1245 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t1703 @t1574)))) % 45.25/45.44 (assume @p1246 (forall @t195 (=> (tptp.class_Groups_Ozero @t10) (= (= @t1704 @t49) @t1705)))) % 45.25/45.44 (assume @p1247 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t1700)) % 45.25/45.44 (assume @p1248 (forall @t187 (=> @t1428 (= (= @t171 @t1178) @t1706)))) % 45.25/45.44 (assume @p1249 (forall @t331 (=> @t1350 @t1708))) % 45.25/45.44 (assume @p1250 (forall @t331 (=> @t1350 @t1710))) % 45.25/45.44 (assume @p1251 (forall @t331 (=> @t1711 @t1708))) % 45.25/45.44 (assume @p1252 (forall @t331 (=> @t1712 @t1708))) % 45.25/45.44 (assume @p1253 (forall @t154 (=> @t980 (= (= @t1704 @t1713) @t1706)))) % 45.25/45.44 (assume @p1254 (forall @t331 (=> @t1711 @t1710))) % 45.25/45.44 (assume @p1255 (forall @t331 (=> @t1712 @t1710))) % 45.25/45.44 (assume @p1256 (forall @t331 (=> @t1350 @t1714))) % 45.25/45.44 (assume @p1257 (forall @t331 (=> @t1350 @t1715))) % 45.25/45.44 (assume @p1258 (forall @t225 (=> @t1719 (=> @t1718 (or @t1717 @t1716))))) % 45.25/45.44 (assume @p1259 (forall @t225 (=> @t1719 (=> @t1721 (=> @t1720 (not @t1718)))))) % 45.25/45.44 (assume @p1260 (forall @t213 (=> (tptp.class_Rings_Oring__no__zero__divisors @t10) (= (= @t1723 @t1704) (or @t1706 @t1722))))) % 45.25/45.44 (assume @p1261 (forall @t331 (=> @t1724 @t1714))) % 45.25/45.44 (assume @p1262 (forall @t331 (=> @t1724 @t1715))) % 45.25/45.44 (assume @p1263 (forall @t213 (=> @t430 (= @t1725 @t429)))) % 45.25/45.44 (assume @p1264 (forall @t213 (=> @t699 (= @t429 @t1725)))) % 45.25/45.44 (assume @p1265 (forall @t331 (=> @t432 (= (tptp.hAPP @t716 @t83) @t1707)))) % 45.25/45.44 (assume @p1266 (forall @t331 (=> @t432 (= (tptp.hAPP @t716 @t1707) @t83)))) % 45.25/45.44 (assume @p1267 (forall @t216 (=> @t1726 (not (= @t1707 @t1597))))) % 45.25/45.44 (assume @p1268 (forall @t216 (=> @t1726 (not (= @t1597 @t1707))))) % 45.25/45.44 (assume @p1269 (forall @t216 (=> @t432 (= (tptp.hAPP @t214 @t1707) @t1707)))) % 45.25/45.44 (assume @p1270 (forall @t154 (=> @t430 (= (= @t1704 @t229) (= @t1704 @t153))))) % 45.25/45.44 (assume @p1271 (forall @t154 (=> @t980 (= (= @t153 @t229) @t1706)))) % 45.25/45.44 (assume @p1272 (forall @t154 (=> @t430 (= (= @t229 @t1704) @t1706)))) % 45.25/45.44 (assume @p1273 (forall @t154 (=> @t980 (= (= @t229 @t153) @t1706)))) % 45.25/45.44 (assume @p1274 (forall @t1382 (not (= @t1575 @t1700)))) % 45.25/45.44 (assume @p1275 (forall @t1382 (not (= @t1700 @t1575)))) % 45.25/45.44 (assume @p1276 (forall (@list @t1727) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t1727) @t1700)))) % 45.25/45.44 (assume @p1277 (forall (@list @t1728) (not (= @t1700 (tptp.hAPP tptp.c_Nat_OSuc @t1728))))) % 45.25/45.44 (assume @p1278 (forall @t1380 (=> @t1731 @t1729))) % 45.25/45.44 (assume @p1279 (forall @t1321 (=> @t1328 @t1731))) % 45.25/45.44 (assume @p1280 (forall @t1735 (= @t1734 @t1732))) % 45.25/45.44 (assume @p1281 (forall @t1321 (=> (= @t1308 @t1255) @t1730))) % 45.25/45.44 (assume @p1282 (forall @t1373 (= (= @t1737 @t1700) (and @t1736 @t1733)))) % 45.25/45.44 (assume @p1283 (forall @t1382 (= (tptp.hAPP @t1307 @t1700) @t1255))) % 45.25/45.44 (assume @p1284 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1144 @t1700) @t1254) @t1254))) % 45.25/45.44 (assume @p1285 (forall @t1735 (= (tptp.hBOOL (tptp.hAPP @t1081 @t1700)) @t1733))) % 45.25/45.44 (assume @p1286 (forall @t1321 (=> @t1738 (=> (= @t1416 @t1700) @t1377)))) % 45.25/45.44 (assume @p1287 (forall @t1382 (= (tptp.hAPP @t1256 @t1255) @t1700))) % 45.25/45.44 (assume @p1288 (forall @t1382 (= (tptp.hAPP @t1256 @t1700) @t1255))) % 45.25/45.44 (assume @p1289 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1091 @t1700) @t1254) @t1700))) % 45.25/45.44 (assume @p1290 (forall @t1299 (= (= @t1743 @t1742) @t1740))) % 45.25/45.44 (assume @p1291 (forall @t1253 (= @t1747 @t1740))) % 45.25/45.44 (assume @p1292 (forall @t1253 (= @t1747 (or @t1739 @t1263)))) % 45.25/45.44 (assume @p1293 (forall @t1373 (= (= @t1635 @t1700) (or @t1736 @t1733)))) % 45.25/45.44 (assume @p1294 (forall @t1382 (= (tptp.hAPP @t1305 @t1700) @t1700))) % 45.25/45.44 (assume @p1295 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1264 @t1700) @t1254) @t1700))) % 45.25/45.44 (assume @p1296 (forall @t109 (=> @t1751 (= (= @t1750 @t1704) @t1749)))) % 45.25/45.44 (assume @p1297 (forall @t1640 (= (tptp.hAPP @t1076 @t1700) @t1588))) % 45.25/45.44 (assume @p1298 (= (tptp.hAPP @t1584 @t1700) @t1349)) % 45.25/45.44 (assume @p1299 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1421 @t1700) @t1254) @t1700))) % 45.25/45.44 (assume @p1300 (forall @t1380 (= (tptp.hAPP @t1752 @t1700) @t1700))) % 45.25/45.44 (assume @p1301 (= (tptp.hAPP @t1285 @t1700) @t1588)) % 45.25/45.44 (assume @p1302 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1414 @t1700) @t1254) @t1254))) % 45.25/45.44 (assume @p1303 (forall @t1380 (= (tptp.hAPP @t1415 @t1700) @t1254))) % 45.25/45.44 (assume @p1304 (= (tptp.hAPP @t1288 @t1700) @t1754)) % 45.25/45.44 (assume @p1305 (forall (@list @t160 @t2 @t10) (=> @t1132 (=> (= @t1756 @t1704) (= (tptp.hAPP @t1074 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1701) @t160)) (tptp.hAPP @t1074 (tptp.hAPP @t1755 @t160))))))) % 45.25/45.44 (assume @p1306 (forall @t71 (=> @t1760 (tptp.hBOOL (tptp.hAPP @t1759 @t1758))))) % 45.25/45.44 (assume @p1307 (forall @t109 (=> @t1751 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1750) @t1704)) @t1749)))) % 45.25/45.44 (assume @p1308 (forall @t71 (=> @t1760 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1758) @t1707)))))) % 45.25/45.44 (assume @p1309 (forall @t109 (=> @t1751 (= (tptp.hBOOL (tptp.hAPP @t1763 @t1750)) @t1762)))) % 45.25/45.44 (assume @p1310 (forall @t225 (=> @t1766 (=> @t1765 (=> @t1764 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1165) @t1707))))))) % 45.25/45.44 (assume @p1311 (forall @t1769 (=> @t1766 (=> @t1768 (=> @t90 @t1767))))) % 45.25/45.44 (assume @p1312 (forall @t96 (=> @t1766 (=> @t1770 (=> @t98 @t1767))))) % 45.25/45.44 (assume @p1313 (forall @t109 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t10) (=> (tptp.hBOOL (tptp.hAPP @t1773 @t49)) (=> (tptp.hBOOL (tptp.hAPP @t1773 @t99)) (= (= @t1772 @t1704) @t1749)))))) % 45.25/45.44 (assume @p1314 (forall @t225 (=> @t1766 (=> @t1770 (=> @t1774 (tptp.hBOOL (tptp.hAPP @t1759 @t1165))))))) % 45.25/45.44 (assume @p1315 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1713) @t1704)) @t1775)))) % 45.25/45.44 (assume @p1316 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP @t1773 @t1713)) @t1776)))) % 45.25/45.44 (assume @p1317 (forall @t225 (=> @t1778 (=> (or (and @t1770 @t1764) (and @t1765 @t1774)) @t1777)))) % 45.25/45.44 (assume @p1318 (forall @t225 (=> @t1780 (=> (or (and @t1770 @t1774) (and @t1765 @t1764)) @t1779)))) % 45.25/45.44 (assume @p1319 (forall @t1211 (=> @t1784 (=> @t94 (=> @t1210 (=> @t1774 @t1783)))))) % 45.25/45.44 (assume @p1320 (forall @t1211 (=> @t1784 (=> @t94 (=> @t1210 (=> @t1770 @t1783)))))) % 45.25/45.44 (assume @p1321 (forall @t91 (=> @t1780 (=> @t90 (=> @t1789 @t1788))))) % 45.25/45.44 (assume @p1322 (forall @t91 (=> @t1780 (=> @t90 (=> @t1789 @t1790))))) % 45.25/45.44 (assume @p1323 (forall @t96 (=> (tptp.class_Rings_Oordered__comm__semiring @t35) @t1791))) % 45.25/45.44 (assume @p1324 (forall @t96 (=> @t1784 @t1791))) % 45.25/45.44 (assume @p1325 (forall @t96 (=> @t1784 (=> @t94 (=> @t1768 @t1790))))) % 45.25/45.44 (assume @p1326 (forall @t225 (=> @t1780 (=> @t1765 (=> @t1764 @t1779))))) % 45.25/45.44 (assume @p1327 (forall @t225 (=> @t1778 (=> @t1765 (=> @t1774 @t1777))))) % 45.25/45.44 (assume @p1328 (forall @t225 (=> @t1778 (=> @t1770 (=> @t1764 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1355) @t1707))))))) % 45.25/45.44 (assume @p1329 (forall @t225 (=> @t1778 (=> @t1770 (=> @t1764 @t1777))))) % 45.25/45.44 (assume @p1330 (forall @t225 (=> @t1778 (=> @t1770 (=> @t1774 @t1779))))) % 45.25/45.44 (assume @p1331 (forall @t213 (=> @t1751 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1723) @t1704)) @t1794)))) % 45.25/45.44 (assume @p1332 (forall @t213 (=> @t1751 (= (tptp.hBOOL (tptp.hAPP @t1773 @t1723)) @t1795)))) % 45.25/45.44 (assume @p1333 (forall @t331 (=> @t1760 (tptp.hBOOL (tptp.hAPP @t1759 @t1156))))) % 45.25/45.44 (assume @p1334 (forall @t96 (=> @t1645 (=> @t1799 @t1797)))) % 45.25/45.44 (assume @p1335 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP @t1763 @t1713)) @t1800)))) % 45.25/45.44 (assume @p1336 (forall @t154 (=> @t980 @t1802))) % 45.25/45.44 (assume @p1337 (forall @t225 (=> @t1766 (=> @t1799 @t1805)))) % 45.25/45.44 (assume @p1338 (forall @t225 (=> @t1766 (=> @t1809 @t1808)))) % 45.25/45.44 (assume @p1339 (forall @t331 (=> @t1760 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1156) @t1707)))))) % 45.25/45.44 (assume @p1340 (forall @t1201 (=> @t1751 (= (tptp.hBOOL (tptp.hAPP @t1813 @t1426)) @t1812)))) % 45.25/45.44 (assume @p1341 (forall @t1203 (=> @t1751 (= @t1817 @t1812)))) % 45.25/45.44 (assume @p1342 (forall @t1203 (=> @t1751 (=> @t1811 (= @t1817 @t519))))) % 45.25/45.44 (assume @p1343 (forall @t225 (=> @t1819 (=> @t1799 (=> @t1804 @t1818))))) % 45.25/45.44 (assume @p1344 (forall @t225 (=> @t1819 (=> @t1799 (=> @t1807 @t1820))))) % 45.25/45.44 (assume @p1345 (forall @t225 (=> @t1819 (=> @t1799 (=> @t1807 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1355) @t1707))))))) % 45.25/45.44 (assume @p1346 (forall @t225 (=> @t1819 (=> @t1818 @t1821)))) % 45.25/45.44 (assume @p1347 (forall @t467 (=> @t1819 (=> (tptp.hBOOL (tptp.hAPP @t1798 @t1355)) @t1821)))) % 45.25/45.44 (assume @p1348 (forall @t1203 (=> @t1751 (=> @t1810 (= @t1817 @t536))))) % 45.25/45.44 (assume @p1349 (forall @t225 (=> @t1819 (=> @t1809 (=> @t1804 @t1820))))) % 45.25/45.44 (assume @p1350 (forall @t225 (=> @t1822 (=> @t1809 (=> @t1807 @t1818))))) % 45.25/45.44 (assume @p1351 (forall @t96 (=> @t1819 (=> @t465 (=> @t1825 @t1824))))) % 45.25/45.44 (assume @p1352 (forall @t96 (=> @t1819 @t1827))) % 45.25/45.44 (assume @p1353 (forall @t96 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t35) @t1827))) % 45.25/45.44 (assume @p1354 (forall @t91 (=> @t1822 (=> @t462 (=> @t1828 @t1824))))) % 45.25/45.44 (assume @p1355 (forall @t91 (=> @t1822 (=> @t462 (=> @t1828 @t1826))))) % 45.25/45.44 (assume @p1356 (forall @t213 (=> @t232 (= @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t697) @t1704)))))) % 45.25/45.44 (assume @p1357 (forall @t213 (=> @t232 (= @t519 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t697) @t1704)))))) % 45.25/45.44 (assume @p1358 (forall (@list @t368 @t84 @t87 @t83 @t1829 @t35) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t35) (=> (not (= @t1829 @t1707)) (=> (and @t97 (not (= @t84 @t368))) (not (= (tptp.hAPP @t1164 (tptp.hAPP @t1830 @t84)) (tptp.hAPP @t1162 (tptp.hAPP @t1830 @t368))))))))) % 45.25/45.44 (assume @p1359 (forall @t216 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t1831 @t1707)))))) % 45.25/45.44 (assume @p1360 (forall @t216 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t1759 @t1597))))) % 45.25/45.44 (assume @p1361 (forall @t216 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t1798 @t1597))))) % 45.25/45.44 (assume @p1362 (forall @t216 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t1646 @t1707)))))) % 45.25/45.44 (assume @p1363 (forall @t154 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t1773 @t229)) @t1775)))) % 45.25/45.44 (assume @p1364 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP @t188 @t229)) @t1775)))) % 45.25/45.44 (assume @p1365 (forall @t154 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t233 @t1704)) @t1776)))) % 45.25/45.44 (assume @p1366 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP @t233 @t153)) @t1776)))) % 45.25/45.44 (assume @p1367 (forall @t154 (=> @t980 (= (tptp.hBOOL (tptp.hAPP @t517 @t153)) @t1800)))) % 45.25/45.44 (assume @p1368 (forall @t154 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t517 @t1704)) @t1800)))) % 45.25/45.44 (assume @p1369 (forall @t154 (=> @t232 (= (tptp.hBOOL (tptp.hAPP @t1763 @t229)) @t1801)))) % 45.25/45.44 (assume @p1370 (forall @t154 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t515 @t229)) @t1801)))) % 45.25/45.44 (assume @p1371 (forall @t331 (=> @t432 (= (tptp.hAPP @t1164 @t222) @t1707)))) % 45.25/45.44 (assume @p1372 (forall @t213 (=> @t430 (= @t431 (= @t1173 @t1704))))) % 45.25/45.44 (assume @p1373 (forall @t331 (=> @t432 @t1833))) % 45.25/45.44 (assume @p1374 (forall @t331 (=> @t718 @t1833))) % 45.25/45.44 (assume @p1375 (forall @t225 (=> @t432 (=> (= @t1165 @t1707) (= @t222 @t87))))) % 45.25/45.44 (assume @p1376 (forall @t331 (=> @t432 (= (tptp.hAPP (tptp.hAPP @t713 @t1707) @t83) @t222)))) % 45.25/45.44 (assume @p1377 (forall @t688 (=> @t1132 (= (tptp.hAPP @t1835 @t573) @t1704)))) % 45.25/45.44 (assume @p1378 (forall @t1665 (=> @t1132 (= (tptp.hAPP @t1836 @t573) @t1704)))) % 45.25/45.44 (assume @p1379 (forall @t1670 (=> @t1104 @t1838))) % 45.25/45.44 (assume @p1380 (forall @t1671 (=> @t1104 (=> @t1668 (= @t1061 @t1837))))) % 45.25/45.44 (assume @p1381 (forall @t1842 (=> @t979 (= @t1841 @t1840)))) % 45.25/45.44 (assume @p1382 (forall @t1671 (=> (and @t1846 (tptp.class_Rings_Ono__zero__divisors @t40)) (=> @t675 (= @t1845 @t1844))))) % 45.25/45.44 (assume @p1383 (forall @t1671 (=> @t1846 (=> @t675 (=> @t1844 @t1845))))) % 45.25/45.44 (assume @p1384 (forall @t1735 (= @t1732 (exists @t1193 @t1847)))) % 45.25/45.44 (assume @p1385 (forall @t1735 (= (tptp.hBOOL (tptp.hAPP @t1469 @t1701)) @t1733))) % 45.25/45.44 (assume @p1386 (forall @t1373 (= @t1605 (or @t1736 (exists @t1850 (and (= @t402 (tptp.hAPP tptp.c_Nat_OSuc @t1848)) (tptp.hBOOL (tptp.hAPP @t1849 @t445)))))))) % 45.25/45.44 (assume @p1387 (forall @t1373 (= (= @t1701 @t1737) @t1853))) % 45.25/45.44 (assume @p1388 (forall @t1373 (= (= @t1737 @t1701) @t1853))) % 45.25/45.44 (assume @p1389 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t1703 @t1737)) (or @t1854 @t1732)))) % 45.25/45.44 (assume @p1390 (forall @t144 (= (tptp.hAPP @t1528 @t142) @t1700))) % 45.25/45.44 (assume @p1391 (forall @t53 @t1856)) % 45.25/45.44 (assume @p1392 (forall @t1373 (= (= @t1635 @t1701) (and @t1852 @t1851)))) % 45.25/45.44 (assume @p1393 (forall @t1383 (=> @t1729 (=> @t1857 (tptp.hBOOL (tptp.hAPP @t1661 @t1255)))))) % 45.25/45.44 (assume @p1394 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP @t1703 @t1858)) @t1345))) % 45.25/45.44 (assume @p1395 (forall @t1326 (=> @t1338 (=> @t1859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1395) @t1394)))))) % 45.25/45.44 (assume @p1396 (forall @t1326 (=> @t1338 (=> @t1859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1392) @t1391)))))) % 45.25/45.44 (assume @p1397 (forall @t1253 (=> @t1861 (= @t1860 @t1345)))) % 45.25/45.44 (assume @p1398 (forall @t1253 (=> @t1861 (= @t1747 @t1263)))) % 45.25/45.44 (assume @p1399 (forall @t1299 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1743) @t1742)) @t1862))) % 45.25/45.44 (assume @p1400 (forall @t1253 (= @t1860 @t1862))) % 45.25/45.44 (assume @p1401 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t1703 @t1635)) (and @t1854 @t1732)))) % 45.25/45.44 (assume @p1402 (forall @t1383 (= (tptp.hAPP @t1259 @t1322) @t1700))) % 45.25/45.44 (assume @p1403 (forall @t1373 (= (= @t1863 @t1700) @t1084))) % 45.25/45.44 (assume @p1404 (forall @t1321 (=> @t1376 @t1738))) % 45.25/45.44 (assume @p1405 (= @t1569 @t1701)) % 45.25/45.44 (assume @p1406 (forall @t1321 (=> (= @t1255 @t1310) (or (= @t1254 @t1569) @t1864)))) % 45.25/45.44 (assume @p1407 (forall (@list @t160 @t2) (=> (= @t1756 @t1700) (= (tptp.hAPP @t1866 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1701 @t160)) (tptp.hAPP @t1866 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1700 @t160)))))) % 45.25/45.44 (assume @p1408 (forall @t1627 (=> @t759 (= (= (tptp.hAPP @t1088 @t757) @t1700) (forall @t7 (=> @t1624 (= @t5 @t1700))))))) % 45.25/45.44 (assume @p1409 (= (tptp.hAPP @t1581 @t1700) (tptp.hAPP @t1638 @t1349))) % 45.25/45.44 (assume @p1410 (forall @t1735 (= @t1868 (tptp.hAPP @t1753 (tptp.hAPP @t1638 @t1867))))) % 45.25/45.44 (assume @p1411 (forall @t1735 (= @t1869 @t1867))) % 45.25/45.44 (assume @p1412 (forall @t1735 (= @t1871 @t1870))) % 45.25/45.44 (assume @p1413 (forall @t1380 (=> @t1729 (= @t1254 @t1873)))) % 45.25/45.44 (assume @p1414 (forall @t1321 (and (=> @t1864 (= @t1308 @t1254)) (=> @t1874 (= @t1308 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1144 @t1687) @t1254))))))) % 45.25/45.44 (assume @p1415 (forall @t225 (=> @t1766 (=> @t1765 @t1808)))) % 45.25/45.44 (assume @p1416 (forall @t225 (=> @t1766 (=> @t1809 (=> @t1764 @t1806))))) % 45.25/45.44 (assume @p1417 (forall @t96 (=> @t1766 (=> @t1770 @t1797)))) % 45.25/45.44 (assume @p1418 (forall @t96 (=> @t1766 (=> @t1799 (=> @t98 @t1796))))) % 45.25/45.44 (assume @p1419 (forall @t225 (=> @t1766 (=> @t1770 @t1805)))) % 45.25/45.44 (assume @p1420 (forall @t225 (=> @t1766 (=> @t1799 (=> @t1774 @t1803))))) % 45.25/45.44 (assume @p1421 (forall @t1203 (=> @t1751 (=> @t1811 (= @t1875 @t189))))) % 45.25/45.44 (assume @p1422 (forall @t1203 (=> @t1751 (=> @t1810 (= @t1875 @t178))))) % 45.25/45.44 (assume @p1423 (forall @t1211 (=> @t1819 (=> @t465 (=> @t1220 (=> @t1804 @t1877)))))) % 45.25/45.44 (assume @p1424 (forall @t1211 (=> @t1819 (=> @t465 (=> @t1220 (=> @t1770 @t1877)))))) % 45.25/45.44 (assume @p1425 (forall @t1211 (=> @t1819 (=> @t465 (=> @t1210 (=> @t1770 (=> @t1825 @t1876))))))) % 45.25/45.44 (assume @p1426 (forall @t1211 (=> @t1819 (=> @t94 (=> @t1220 (=> @t1799 @t1877)))))) % 45.25/45.44 (assume @p1427 (forall @t1213 (=> @t1880 @t1879))) % 45.25/45.44 (assume @p1428 (forall @t1213 (=> @t1819 @t1879))) % 45.25/45.44 (assume @p1429 (forall @t1214 (=> @t1880 @t1881))) % 45.25/45.44 (assume @p1430 (forall @t1214 (=> @t1819 @t1881))) % 45.25/45.44 (assume @p1431 (forall @t1213 (=> @t1819 (=> @t1790 @t1882)))) % 45.25/45.44 (assume @p1432 (forall @t1214 (=> @t1819 (=> @t1788 @t1882)))) % 45.25/45.44 (assume @p1433 (forall @t1321 (and (=> @t1864 (= @t1310 @t1700)) (=> @t1874 (= @t1310 (tptp.hAPP @t1311 (tptp.hAPP (tptp.hAPP @t1264 @t1687) @t1254))))))) % 45.25/45.44 (assume @p1434 (forall @t71 (=> @t550 (=> @t1886 (=> @t1885 (=> @t1884 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1883) @t34)))))))) % 45.25/45.44 (assume @p1435 (forall @t71 (=> @t550 (=> @t1886 (=> @t1885 (=> @t1884 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1425) @t34)))))))) % 45.25/45.44 (assume @p1436 (forall @t216 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t1798 @t1651))))) % 45.25/45.44 (assume @p1437 (forall @t53 (= @t1855 (or @t151 @t1668)))) % 45.25/45.44 (assume @p1438 (forall @t53 (=> @t1887 @t675))) % 45.25/45.44 (assume @p1439 (forall @t1380 (=> @t1729 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1259 @t1701)) @t1254)))) % 45.25/45.44 (assume @p1440 (forall (@list @t1274 @t1254) (=> @t1729 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t1259 @t1612)) @t1254))))) % 45.25/45.44 (assume @p1441 (forall @t1383 (=> @t1890 (=> @t1889 (tptp.hBOOL (tptp.hAPP @t1468 @t1310)))))) % 45.25/45.44 (assume @p1442 (forall @t1383 (=> @t1890 (=> @t1889 (tptp.hBOOL (tptp.hAPP @t1468 @t1320)))))) % 45.25/45.44 (assume @p1443 (forall @t1383 (=> @t1890 (=> @t1889 (tptp.hBOOL (tptp.hAPP @t1888 @t1310)))))) % 45.25/45.44 (assume @p1444 (forall @t1899 (= @t1898 (and (=> @t1897 @t1896) (forall @t1895 (=> @t1894 @t1893)))))) % 45.25/45.44 (assume @p1445 (forall @t1899 (= @t1898 (not (or (and @t1897 @t1900) (exists @t1895 (and @t1894 (not @t1893)))))))) % 45.25/45.44 (assume @p1446 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t1901 @t1635)) (and (tptp.hBOOL (tptp.hAPP @t1901 @t402)) (tptp.hBOOL (tptp.hAPP @t1901 @t445)))))) % 45.25/45.44 (assume @p1447 (forall @t1253 (=> @t1861 (= @t1902 @t1084)))) % 45.25/45.44 (assume @p1448 (forall @t1299 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1743) @t1742)) @t1903))) % 45.25/45.44 (assume @p1449 (forall @t1253 (= @t1902 @t1903))) % 45.25/45.44 (assume @p1450 (forall @t774 (=> @t675 (= (= @t1090 @t1701) (exists @t7 (and @t205 (= @t5 @t1701) @t1904)))))) % 45.25/45.44 (assume @p1451 (forall @t774 (=> @t675 (= (= @t1090 @t1569) (exists @t7 (and @t205 @t1623 @t1904)))))) % 45.25/45.44 (assume @p1452 (forall @t1910 (=> (tptp.class_Rings_Olinordered__semiring__1 @t35) (=> @t355 (=> (tptp.hBOOL (tptp.hAPP @t67 @t83)) (=> @t1909 (=> @t1908 (=> @t1907 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1906) @t83)))))))))) % 45.25/45.44 (assume @p1453 (forall @t53 (= @t1887 (and @t678 @t675)))) % 45.25/45.44 (assume @p1454 (forall @t144 (=> @t770 (tptp.hBOOL (tptp.hAPP @t1703 @t1534))))) % 45.25/45.44 (assume @p1455 (forall @t1380 (=> @t1729 (= @t1873 @t1254)))) % 45.25/45.44 (assume @p1456 (forall @t1910 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t35) (=> @t510 (=> (tptp.hBOOL (tptp.hAPP @t448 @t83)) (=> @t1909 (=> @t1908 (=> @t1907 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t1906) @t83)))))))))) % 45.25/45.44 (assume @p1457 (forall @t1912 (=> @t1132 (and (=> @t1470 (= @t1911 @t1704)) (=> @t1608 (= @t1911 (tptp.hAPP @t1131 @t646))))))) % 45.25/45.44 (assume @p1458 (forall @t1912 (=> @t1132 (and (=> @t1916 (= @t1914 @t1704)) (=> (not @t1916) (= @t1914 (tptp.hAPP @t1686 @t1913))))))) % 45.25/45.44 (assume @p1459 (forall @t1920 (= (exists @t1193 (and @t1919 @t1918)) (exists @t7 (and @t1917 @t287))))) % 45.25/45.44 (assume @p1460 (forall @t1920 (= (forall @t1193 (=> @t1919 @t1918)) (forall @t7 (=> @t1917 @t287))))) % 45.25/45.44 (assume @p1461 (forall @t1920 (= (forall @t1193 (=> @t1922 @t1918)) (forall @t7 (=> @t1921 @t287))))) % 45.25/45.44 (assume @p1462 (forall @t1920 (= (exists @t1193 (and @t1922 @t1918)) (exists @t7 (and @t1921 @t287))))) % 45.25/45.44 (assume @p1463 (forall @t154 (=> @t1832 @t1802))) % 45.25/45.44 (assume @p1464 (forall @t33 (=> @t675 (=> @t674 (=> (=> (exists @t7 @t1699) @t1923) @t1566))))) % 45.25/45.44 (assume @p1465 (forall @t1930 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t40) (=> @t674 (=> @t32 (=> (forall @t1929 (=> (tptp.hBOOL (tptp.hAPP @t1928 @t725)) (tptp.hBOOL (tptp.hAPP @t1927 (tptp.hAPP @t2 @t1926))))) @t1925)))))) % 45.25/45.44 (assume @p1466 (forall @t154 (=> @t980 @t1931))) % 45.25/45.44 (assume @p1467 (forall @t1239 (=> @t1104 (=> @t675 (=> @t674 (=> (forall @t7 (=> @t1699 (= @t4 @t1837))) @t1242)))))) % 45.25/45.44 (assume @p1468 (forall @t1698 (=> @t1104 (=> @t979 (=> @t1697 (=> (forall @t7 (=> @t1695 @t1843)) (= (tptp.hAPP @t1060 @t1693) (tptp.hAPP (tptp.hAPP @t1106 @t1933) @t1932)))))))) % 45.25/45.44 (assume @p1469 (forall (@list @t160 @t25 @t10) (= (= @t1529 @t1583) (exists (@list @t1926 @t1934) (and (= @t25 (tptp.hAPP (tptp.hAPP @t440 @t1926) @t1934)) (not (tptp.hBOOL (tptp.hAPP @t1928 @t1934))) (= (tptp.hAPP @t1528 @t1934) @t160) (=> @t1739 (= @t1934 @t142))))))) % 45.25/45.44 (assume @p1470 (forall @t1930 (=> (and @t1104 @t1936) (=> @t674 (=> @t32 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 @t725)) @t1935)) @t1925)))))) % 45.25/45.44 (assume @p1471 (forall @t154 (=> @t1832 (=> @t1940 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t1938) @t1704)) @t1801))))) % 45.25/45.44 (assume @p1472 (forall @t781 (and (=> @t1943 @t1944) (=> (not @t1943) (= @t1942 @t1700))))) % 45.25/45.44 (assume @p1473 (forall @t144 (=> @t1946 (tptp.hBOOL (tptp.hAPP @t1945 @t1939))))) % 45.25/45.44 (assume @p1474 (forall @t213 (=> @t1946 (=> @t1940 (=> @t1948 (tptp.hBOOL (tptp.hAPP @t1947 @t1939))))))) % 45.25/45.44 (assume @p1475 (forall @t213 (=> @t1946 (=> @t1940 (=> @t1948 (tptp.hBOOL (tptp.hAPP @t1949 @t1939))))))) % 45.25/45.44 (assume @p1476 (forall @t213 (=> @t1946 (=> @t1940 (=> @t1948 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t697) @t1939))))))) % 45.25/45.44 (assume @p1477 (forall @t144 (=> @t1946 (tptp.hBOOL (tptp.hAPP @t1950 @t1939))))) % 45.25/45.44 (assume @p1478 (forall @t154 (=> @t1946 (=> @t1940 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t229) @t1939)))))) % 45.25/45.44 (assume @p1479 (forall @t154 (=> @t1951 (=> @t1940 @t1931)))) % 45.25/45.44 (assume @p1480 (forall @t1953 (= @t1952 @t1943))) % 45.25/45.44 (assume @p1481 (forall @t781 (=> @t675 (=> @t798 @t1952)))) % 45.25/45.44 (assume @p1482 (forall @t1953 (=> @t1952 @t675))) % 45.25/45.44 (assume @p1483 (forall @t1953 (=> @t1952 @t798))) % 45.25/45.44 (assume @p1484 (forall @t781 (=> @t675 (=> @t798 @t1944)))) % 45.25/45.44 (assume @p1485 (forall @t154 (=> @t1951 (=> @t1940 (not (= @t1938 @t1704)))))) % 45.25/45.44 (assume @p1486 (forall @t788 (= (tptp.c_Sum__Type_OPlus @t10 @t40 @t143 @t615) @t791))) % 45.25/45.44 (assume @p1487 (forall @t1953 (= (= @t1941 (tptp.c_Orderings_Obot__class_Obot @t790)) (and @t151 @t1954)))) % 45.25/45.44 (assume @p1488 (forall (@list @t153 @t2 @t25 @t10 @t40) (=> @t1958 (=> @t675 (=> (not (= @t579 @t1837)) (and (=> @t852 (= @t1955 (tptp.hAPP @t1957 @t579))) (=> @t897 (= @t1955 @t1503)))))))) % 45.25/45.44 (assume @p1489 (forall @t1239 (=> @t1463 (=> @t675 (=> @t674 (=> @t385 (= @t1965 @t1964))))))) % 45.25/45.44 (assume @p1490 (forall @t1972 (=> @t1900 (=> @t1971 (exists @t1386 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1384) @t445)) (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t1969 @t1384)) (not @t1968))) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t1144 @t1384) @t1569))))))))) % 45.25/45.44 (assume @p1491 (forall @t1977 (=> @t1463 (=> @t1697 (=> @t1976 (=> @t1974 (= @t1691 @t1692))))))) % 45.25/45.44 (assume @p1492 (forall @t331 (=> @t1979 (= (tptp.hAPP (tptp.hAPP @t1978 @t1707) @t83) @t1707)))) % 45.25/45.44 (assume @p1493 (forall @t331 (=> @t1981 (= (tptp.hAPP @t1980 @t1707) @t1707)))) % 45.25/45.44 (assume @p1494 (forall @t96 (=> @t1979 (= (tptp.hAPP @t1984 @t84) (tptp.hAPP (tptp.hAPP @t1161 @t1983) @t1982))))) % 45.25/45.44 (assume @p1495 (forall @t96 (=> @t1979 (= (tptp.hAPP @t1155 @t1982) (tptp.hAPP (tptp.hAPP @t1978 @t1160) @t84))))) % 45.25/45.44 (assume @p1496 (forall @t96 (=> @t1979 (= (tptp.hAPP (tptp.hAPP @t1978 @t717) @t84) (tptp.hAPP (tptp.hAPP @t713 @t1983) @t1982))))) % 45.25/45.44 (assume @p1497 (forall @t331 (=> @t1979 (= (tptp.hAPP @t1980 @t1597) @t83)))) % 45.25/45.44 (assume @p1498 (forall @t225 (=> @t1979 (= @t1987 (tptp.hAPP @t1985 @t87))))) % 45.25/45.44 (assume @p1499 (forall (@list @t348 @t1 @t2 @t40 @t10) (= (tptp.hAPP @t1989 @t573) @t348))) % 45.25/45.44 (assume @p1500 (forall @t1203 (=> @t1997 (=> @t1996 (= @t1994 @t1990))))) % 45.25/45.44 (assume @p1501 (forall @t2000 (=> @t1997 (=> @t1996 (= @t1999 @t1998))))) % 45.25/45.44 (assume @p1502 (forall @t1769 (=> @t1979 (=> @t2002 (=> (= @t87 @t1185) (= @t1982 @t83)))))) % 45.25/45.44 (assume @p1503 (forall @t1214 (=> @t1979 (=> @t2002 (=> (= @t1185 @t87) (= @t83 @t1982)))))) % 45.25/45.44 (assume @p1504 (forall @t187 (=> @t1997 (=> (not @t1722) (= (= @t2003 @t1586) @t429))))) % 45.25/45.44 (assume @p1505 (forall @t331 (=> @t1979 @t2005))) % 45.25/45.44 (assume @p1506 (forall @t331 (=> @t1981 (and (=> @t1717 (= @t2004 @t1707)) @t2005)))) % 45.25/45.44 (assume @p1507 (forall @t467 (=> @t1979 (=> @t1720 @t2006)))) % 45.25/45.44 (assume @p1508 (forall @t467 (=> @t1979 (=> @t1720 @t2007)))) % 45.25/45.44 (assume @p1509 (forall (@list @t25 @t757 @t1 @t348 @t2 @t40 @t10) (=> @t819 (=> @t801 (= @t810 @t2008))))) % 45.25/45.44 (assume @p1510 (forall (@list @t348 @t1 @t153 @t25 @t10 @t40) (=> @t2011 (=> @t675 (=> @t897 (= (tptp.hAPP @t2009 @t501) (tptp.hAPP (tptp.hAPP @t1459 @t913) @t2010))))))) % 45.25/45.44 (assume @p1511 (forall @t1670 (=> @t1104 @t2012))) % 45.25/45.44 (assume @p1512 (forall @t1670 (=> @t1104 (and @t2012 @t1838)))) % 45.25/45.44 (assume @p1513 (forall @t1670 (=> @t1463 (and @t2013 @t1669)))) % 45.25/45.44 (assume @p1514 (forall @t1670 (=> @t1463 @t2013))) % 45.25/45.44 (assume @p1515 (forall @t1239 (=> @t1463 (=> @t675 (=> @t674 (= @t1964 (tptp.hAPP (tptp.hAPP @t1459 @t1965) (tptp.hAPP @t1961 @t256)))))))) % 45.25/45.44 (assume @p1516 (forall @t96 (=> @t2018 (=> @t94 (=> @t1789 @t2017))))) % 45.25/45.44 (assume @p1517 (forall @t91 (=> @t2019 (=> @t90 (=> @t1768 @t2017))))) % 45.25/45.44 (assume @p1518 (forall @t2000 (=> @t2023 (=> @t1810 (= @t2022 @t2020))))) % 45.25/45.44 (assume @p1519 (forall @t1203 (=> @t2023 (=> @t1810 (= @t2025 @t2024))))) % 45.25/45.44 (assume @p1520 (forall @t300 (=> @t2019 (=> @t2030 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2029) @t34)) (tptp.hBOOL (tptp.hAPP @t73 @t2027))))))) % 45.25/45.44 (assume @p1521 (forall @t77 (=> @t2019 (=> @t2030 (=> (tptp.hBOOL (tptp.hAPP @t37 @t2029)) (tptp.hBOOL (tptp.hAPP @t2031 @t72))))))) % 45.25/45.44 (assume @p1522 (forall (@list @t2032 @t72 @t66 @t34 @t35) (=> @t2033 (= (tptp.hAPP (tptp.hAPP @t1154 @t2027) (tptp.hAPP (tptp.hAPP @t1978 @t72) @t2032)) (tptp.hAPP (tptp.hAPP @t1978 @t1424) (tptp.hAPP @t1757 @t2032)))))) % 45.25/45.44 (assume @p1523 (forall @t225 (=> @t2033 @t2007))) % 45.25/45.44 (assume @p1524 (forall @t225 (=> @t2033 @t2006))) % 45.25/45.44 (assume @p1525 (forall @t213 (=> @t2034 (= (tptp.hBOOL (tptp.hAPP @t1773 @t2003)) @t1795)))) % 45.25/45.44 (assume @p1526 (forall @t213 (=> @t2034 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2003) @t1704)) @t1794)))) % 45.25/45.44 (assume @p1527 (forall @t96 (=> @t2018 (=> @t94 (=> @t1768 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1983) @t1982))))))) % 45.25/45.44 (assume @p1528 (forall @t96 (=> @t2018 (=> @t94 (=> @t1789 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t1982) @t1983))))))) % 45.25/45.44 (assume @p1529 (forall @t91 (=> @t2019 (=> @t462 (=> @t1828 @t2035))))) % 45.25/45.44 (assume @p1530 (forall @t96 (=> @t2019 (=> @t465 (=> @t1825 @t2035))))) % 45.25/45.44 (assume @p1531 (forall @t71 (=> @t2019 (=> @t2038 (=> @t2037 @t2036))))) % 45.25/45.44 (assume @p1532 (forall @t71 (=> @t2019 (=> @t2038 (=> @t2030 @t2040))))) % 45.25/45.44 (assume @p1533 (forall @t71 (=> @t2019 (=> @t2041 (=> @t2037 @t2040))))) % 45.25/45.44 (assume @p1534 (forall @t71 (=> @t2019 (=> @t2041 (=> @t2030 @t2036))))) % 45.25/45.44 (assume @p1535 (forall @t213 (=> @t2034 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2003) @t1704)) (or (and @t1800 @t2043) (and @t1801 @t2042)))))) % 45.25/45.44 (assume @p1536 (forall @t213 (=> @t2034 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2003)) (or (and @t1800 @t2042) (and @t1801 @t2043)))))) % 45.25/45.44 (assume @p1537 (forall @t534 (=> @t2045 (= @t1994 (and (=> @t1996 @t1990) @t2044))))) % 45.25/45.44 (assume @p1538 (forall @t2046 (=> @t2045 (= @t1999 (and (=> @t1996 @t1998) @t2044))))) % 45.25/45.44 (assume @p1539 (forall @t1214 (=> @t2033 (=> @t2002 (= (tptp.hAPP (tptp.hAPP @t1978 @t1185) @t1170) @t1986))))) % 45.25/45.44 (assume @p1540 (forall @t1214 (=> @t2033 (=> @t2002 (= (tptp.hAPP (tptp.hAPP @t1978 @t1787) @t1786) @t1986))))) % 45.25/45.44 (assume @p1541 (forall (@list @t1432 @t49 @t348 @t99 @t10) (=> @t2048 (=> @t1761 (=> (not @t2047) (= (= (tptp.hAPP (tptp.hAPP @t1991 @t49) @t99) (tptp.hAPP (tptp.hAPP @t1991 @t1432) @t348)) (= @t1434 @t1435))))))) % 45.25/45.44 (assume @p1542 (forall @t71 (=> @t2019 (=> @t1886 (=> @t2030 @t2049))))) % 45.25/45.44 (assume @p1543 (forall @t71 (=> @t2019 (=> @t1886 (=> @t2037 @t2050))))) % 45.25/45.44 (assume @p1544 (forall @t2056 (=> @t2019 (=> @t2041 (=> @t69 (=> @t2055 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2032) @t72)) @t2054))))))) % 45.25/45.44 (assume @p1545 (forall @t2056 (=> @t2019 (=> @t1886 (=> @t452 (=> @t2055 (=> @t2057 @t2054))))))) % 45.25/45.44 (assume @p1546 (forall @t2056 (=> @t2019 (=> @t1886 (=> @t69 (=> @t2055 (=> @t2057 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2053) @t2052))))))))) % 45.25/45.44 (assume @p1547 (forall @t71 (=> @t2019 (=> @t2058 (=> @t2030 @t2050))))) % 45.25/45.44 (assume @p1548 (forall @t71 (=> @t2019 (=> @t2058 (=> @t2037 @t2049))))) % 45.25/45.44 (assume @p1549 (forall @t96 (=> @t2019 (=> @t465 (=> @t1828 @t2059))))) % 45.25/45.44 (assume @p1550 (forall @t91 (=> @t2019 (=> @t462 (=> @t1825 @t2059))))) % 45.25/45.44 (assume @p1551 (forall @t2000 (=> @t2023 (=> @t1810 (= @t2062 @t2060))))) % 45.25/45.44 (assume @p1552 (forall @t1203 (=> @t2023 (=> @t1810 (= @t2064 @t2063))))) % 45.25/45.44 (assume @p1553 (forall @t300 (=> @t2019 (=> @t2030 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2029) @t34)) (tptp.hBOOL (tptp.hAPP @t454 @t2027))))))) % 45.25/45.44 (assume @p1554 (forall @t77 (=> @t2019 (=> @t2030 (=> (tptp.hBOOL (tptp.hAPP @t451 @t2029)) (tptp.hBOOL (tptp.hAPP @t2039 @t72))))))) % 45.25/45.44 (assume @p1555 (forall @t2000 (=> @t2023 (=> @t1811 (= @t2062 @t2063))))) % 45.25/45.44 (assume @p1556 (forall @t1203 (=> @t2023 (=> @t1811 (= @t2064 @t2060))))) % 45.25/45.44 (assume @p1557 (forall @t2046 (=> @t2034 (= @t2062 (and (=> @t1811 @t2063) (=> @t2066 (and (=> @t1810 @t2060) (=> @t2065 @t1800)))))))) % 45.25/45.44 (assume @p1558 (forall @t534 (=> @t2034 (= @t2064 (and (=> @t1811 @t2060) (=> @t2066 (and (=> @t1810 @t2063) (=> @t2065 @t1801)))))))) % 45.25/45.44 (assume @p1559 (forall @t300 (=> @t2033 (=> @t2070 (= (tptp.hAPP @t2069 @t2027) @t2068))))) % 45.25/45.44 (assume @p1560 (forall @t2075 (=> @t2074 (=> @t2073 (= (tptp.hAPP @t1232 @t2072) (tptp.hAPP (tptp.hAPP @t1978 (tptp.hAPP (tptp.hAPP @t1161 @t2071) @t66)) @t72)))))) % 45.25/45.44 (assume @p1561 (forall @t77 (=> @t2033 (=> @t2070 (= (tptp.hAPP @t2076 @t72) @t2068))))) % 45.25/45.44 (assume @p1562 (forall @t2075 (=> @t2074 (=> @t2073 (= (tptp.hAPP (tptp.hAPP @t1161 @t2053) @t66) (tptp.hAPP @t2067 @t72)))))) % 45.25/45.44 (assume @p1563 (forall @t2080 (=> @t2074 (=> @t2070 (=> @t2073 (= (tptp.hAPP @t2076 @t2079) (tptp.hAPP (tptp.hAPP @t1978 (tptp.hAPP (tptp.hAPP @t1161 @t1424) @t2078)) @t2077))))))) % 45.25/45.44 (assume @p1564 (forall @t2075 (=> @t2074 (=> @t2073 (= (tptp.hAPP @t720 @t2072) (tptp.hAPP (tptp.hAPP @t1978 (tptp.hAPP (tptp.hAPP @t713 @t2071) @t66)) @t72)))))) % 45.25/45.44 (assume @p1565 (forall @t2075 (=> @t2074 (=> @t2073 (= (tptp.hAPP (tptp.hAPP @t713 @t2053) @t66) (tptp.hAPP (tptp.hAPP @t1978 (tptp.hAPP @t720 @t2029)) @t72)))))) % 45.25/45.44 (assume @p1566 (forall @t2080 (=> @t2074 (=> @t2070 (=> @t2073 (= (tptp.hAPP (tptp.hAPP @t713 @t2027) @t2079) (tptp.hAPP (tptp.hAPP @t1978 (tptp.hAPP (tptp.hAPP @t713 @t1424) @t2078)) @t2077))))))) % 45.25/45.44 (assume @p1567 (forall @t225 (=> @t2019 (=> @t465 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2081) @t87)))))) % 45.25/45.44 (assume @p1568 (forall @t225 (=> @t2019 (=> @t465 (tptp.hBOOL (tptp.hAPP @t463 @t2081)))))) % 45.25/45.44 (assume @p1569 (forall @t534 (=> @t2034 (= @t2025 (and (=> @t1811 @t2020) (=> @t2066 (and (=> @t1810 @t2024) (=> @t2065 @t1775)))))))) % 45.25/45.44 (assume @p1570 (forall @t2046 (=> @t2034 (= @t2022 (and (=> @t1811 @t2024) (=> @t2066 (and (=> @t1810 @t2020) (=> @t2065 @t1776)))))))) % 45.25/45.44 (assume @p1571 (forall @t1203 (=> @t2023 (=> @t1811 (= @t2025 @t2020))))) % 45.25/45.44 (assume @p1572 (forall @t2000 (=> @t2023 (=> @t1811 (= @t2022 @t2024))))) % 45.25/45.44 (assume @p1573 (forall @t2087 (=> @t2086 (and @t2085 @t2084)))) % 45.25/45.44 (assume @p1574 (forall @t136 (=> @t1958 (=> @t675 (=> @t674 (=> (forall @t7 (=> @t1699 (not @t1843))) (= (tptp.hAPP @t1502 @t251) (tptp.hAPP (tptp.hAPP @t1956 (tptp.hAPP (tptp.hAPP @t1459 @t1503) @t2088)) (tptp.hAPP @t1502 @t256))))))))) % 45.25/45.44 (assume @p1575 (forall @t1698 (=> @t1463 (=> @t979 (=> @t1697 (=> @t1696 (= (tptp.hAPP @t2089 @t1693) (tptp.hAPP (tptp.hAPP @t1459 @t2090) (tptp.hAPP @t2089 @t1690))))))))) % 45.25/45.44 (assume @p1576 (forall @t1977 (=> @t1463 (=> @t1697 (=> @t1976 (=> @t1974 (= @t1692 @t1691))))))) % 45.25/45.44 (assume @p1577 (forall @t1977 (=> @t1104 (=> @t1697 (=> @t1976 (=> @t2091 (= @t1932 @t1933))))))) % 45.25/45.44 (assume @p1578 (forall @t1977 (=> @t1104 (=> @t1697 (=> @t1976 (=> @t2091 (= @t1933 @t1932))))))) % 45.25/45.44 (assume @p1579 (forall @t2087 (=> @t2086 @t2084))) % 45.25/45.44 (assume @p1580 (forall @t71 (=> @t2018 (=> (forall @t2093 (=> (tptp.hBOOL (tptp.hAPP @t1798 @t2092)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2092) @t1597)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.hAPP (tptp.hAPP @t1154 @t2092) @t34)) @t66))))) @t69)))) % 45.25/45.44 (assume @p1581 (forall @t331 (=> @t550 (=> @t1809 (= @t2094 @t1657))))) % 45.25/45.44 (assume @p1582 (forall @t154 (=> @t1832 (= (= @t2095 @t1654) @t1801)))) % 45.25/45.44 (assume @p1583 (forall @t39 (=> @t2098 (and (=> @t2097 (= @t2096 @t1707)) (=> (not @t2097) (and (=> @t2041 (= @t2096 @t1597)) (=> (not @t2041) (= @t2096 @t1657)))))))) % 45.25/45.44 (assume @p1584 (forall (@list @t2099 @t2102 @t2103 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t2105) @t2099)) (exists @t1043 (and (= @t2105 @t2101) (tptp.hBOOL (tptp.hAPP @t2100 @t2099)) (not @t1042)))))) % 45.25/45.44 (assume @p1585 (forall (@list @t49 @t877 @t153 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t2106) @t49)) (not (forall @t1043 (=> (= @t2106 @t2101) (=> (tptp.hBOOL (tptp.hAPP @t2100 @t49)) @t1042))))))) % 45.25/45.44 (assume @p1586 (forall @t331 (=> @t550 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t2094) @t2094)))) % 45.25/45.44 (assume @p1587 (forall @t154 (=> @t1832 (= (= @t2095 @t1704) @t1706)))) % 45.25/45.44 (assume @p1588 (forall @t216 (=> @t2098 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t1707) @t1707)))) % 45.25/45.44 (assume @p1589 (forall @t225 (=> @t550 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t1160) (tptp.hAPP (tptp.hAPP @t1154 @t2094) (tptp.c_Groups_Osgn__class_Osgn @t35 @t87)))))) % 45.25/45.44 (assume @p1590 (forall @t154 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2095) @t1704)) @t1801)))) % 45.25/45.44 (assume @p1591 (forall @t154 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2095)) @t1800)))) % 45.25/45.44 (assume @p1592 (forall @t331 (=> @t550 (=> @t1799 (= @t2094 @t1597))))) % 45.25/45.44 (assume @p1593 (forall @t154 (=> @t1832 (= (= @t2095 @t1586) @t1800)))) % 45.25/45.44 (assume @p1594 (forall @t1842 (=> @t979 (=> @t1840 @t1841)))) % 45.25/45.44 (assume @p1595 (forall (@list @t2107 @t25 @t49 @t348 @t2 @t40 @t10) (=> @t1519 (=> (tptp.hBOOL (tptp.hAPP @t1486 @t2107)) (=> @t901 (not (forall @t938 (=> (= @t2107 (tptp.hAPP @t51 @t630)) (not (tptp.hBOOL (tptp.hAPP @t1483 @t630))))))))))) % 45.25/45.44 (assume @p1596 (forall @t1522 (=> @t2108 (=> @t675 @t1524)))) % 45.25/45.44 (assume @p1597 (forall @t1522 (=> @t2108 (=> @t675 @t1527)))) % 45.25/45.44 (assume @p1598 (forall (@list @t445 @t25 @t2 @t10) (=> (= @t1090 @t1604) (exists @t7 (and @t205 @t1839))))) % 45.25/45.44 (assume @p1599 (forall (@list @t160 @t62 @t10) (=> (tptp.hBOOL (tptp.hAPP @t795 @t62)) (=> (tptp.hBOOL (tptp.hAPP @t673 @t389)) (=> (forall (@list @t2112) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t2112) @t62)) (= (tptp.hAPP @t1528 @t2112) @t160))) (=> (forall (@list @t2111) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t2111) @t62)) (forall (@list @t2110) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t2110) @t62)) (=> (not (= @t2111 @t2110)) (= (tptp.hAPP (tptp.hAPP @t246 @t2111) @t2110) @t142)))))) (= (tptp.hAPP @t1744 (tptp.hAPP @t2109 @t62)) (tptp.hAPP @t1528 @t389)))))))) % 45.25/45.44 (assume @p1600 (forall (@list @t348 @t49 @t2 @t40 @t10) (=> @t2108 (= (tptp.hAPP @t51 @t1525) @t1525)))) % 45.25/45.44 (assume @p1601 (forall @t144 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t27 @t440))) % 45.25/45.44 (assume @p1602 (forall @t144 (=> @t1240 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t1111)))) % 45.25/45.44 (assume @p1603 (forall @t144 (=> @t347 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t291)))) % 45.25/45.44 (assume @p1604 (forall @t144 (=> @t344 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t294)))) % 45.25/45.44 (assume @p1605 (forall @t144 (=> @t116 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t627)))) % 45.25/45.44 (assume @p1606 (forall @t144 (=> @t116 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t551)))) % 45.25/45.44 (assume @p1607 (forall @t53 (=> @t675 (= (tptp.hAPP @t2109 @t158) (tptp.hAPP @t2115 @t1529))))) % 45.25/45.44 (assume @p1608 (forall @t2116 (=> @t1463 (=> @t979 (=> (forall @t7 (=> @t526 @t1694)) (= @t2090 @t1667)))))) % 45.25/45.44 (assume @p1609 (forall @t53 (=> @t675 (=> (=> @t896 @t1923) @t1855)))) % 45.25/45.44 (assume @p1610 (forall @t2117 (=> @t116 (=> @t675 (=> @t206 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP @t1464 @t174) @t25)) (tptp.hAPP (tptp.hAPP @t551 @t171) @t174)))))))) % 45.25/45.44 (assume @p1611 (forall @t2117 (=> @t116 (=> @t675 (=> @t209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t628 @t174)) (tptp.hAPP (tptp.hAPP @t1466 @t174) @t25)))))))) % 45.25/45.44 (assume @p1612 (forall (@list @t348 @t761 @t1 @t25 @t10 @t40) (=> @t2011 (=> @t675 (=> (forall @t7 (=> @t205 @t2119)) (= @t2010 (tptp.hAPP (tptp.hAPP @t2118 @t348) @t25))))))) % 45.25/45.44 (assume @p1613 (forall (@list @t2120 @t66 @t34 @t35) (=> @t1350 (= (tptp.hAPP (tptp.hAPP @t2121 @t1425) @t2120) (tptp.hAPP @t2125 (tptp.hAPP @t2122 @t2120)))))) % 45.25/45.44 (assume @p1614 (forall @t2129 (=> @t1350 (= (tptp.hAPP (tptp.hAPP @t2121 @t2128) @t2120) (tptp.hAPP @t2123 (tptp.hAPP @t2127 @t2120)))))) % 45.25/45.44 (assume @p1615 (forall @t39 (=> @t1350 (= (tptp.hAPP @t2123 @t1569) @t34)))) % 45.25/45.44 (assume @p1616 (forall @t2132 (=> @t1350 (= @t2131 @t2130)))) % 45.25/45.44 (assume @p1617 (forall @t2132 (=> @t1350 (= @t2130 @t2131)))) % 45.25/45.44 (assume @p1618 (forall @t2132 (=> @t1350 (= (tptp.hAPP @t2125 @t34) @t2131)))) % 45.25/45.44 (assume @p1619 (forall @t39 (=> @t1350 (= (tptp.hAPP @t2123 @t1700) @t1597)))) % 45.25/45.44 (assume @p1620 (forall @t2129 (=> @t1350 (= (tptp.hAPP (tptp.hAPP @t1154 @t2128) @t2124) (tptp.hAPP @t2123 (tptp.hAPP (tptp.hAPP @t1144 @t2126) @t2120)))))) % 45.25/45.44 (assume @p1621 (forall @t2136 (=> @t1946 (=> @t1940 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t2135) @t1939)))))) % 45.25/45.44 (assume @p1622 (forall (@list @t2126 @t1255) (and (=> @t1864 (= @t2138 @t1569)) (=> @t1874 (= @t2138 (tptp.hAPP @t2127 (tptp.hAPP @t2137 @t1687))))))) % 45.25/45.44 (assume @p1623 (forall @t2145 (=> @t1645 (=> @t465 (=> @t1770 (=> @t1729 @t2144)))))) % 45.25/45.44 (assume @p1624 (forall (@list @t1255 @t1254 @t83 @t35) (=> @t2074 (=> @t1721 (=> @t1387 (= (tptp.hAPP @t2141 @t1257) (tptp.hAPP (tptp.hAPP @t1978 @t2146) @t2142))))))) % 45.25/45.44 (assume @p1625 (forall @t2148 (=> @t1645 (=> @t2147 (=> @t1729 (tptp.hBOOL (tptp.hAPP @t1646 @t2142))))))) % 45.25/45.44 (assume @p1626 (forall @t2149 (=> @t1645 (=> @t2147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2146) @t2142)) @t1376))))) % 45.25/45.44 (assume @p1627 (forall @t2157 (=> @t2156 (=> @t2155 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2153) @t2152)) @t2150))))) % 45.25/45.44 (assume @p1628 (forall @t2161 (=> @t1645 (=> @t2160 (=> @t1770 (=> (tptp.hBOOL (tptp.hAPP @t92 @t1597)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2159) @t2142)))))))) % 45.25/45.44 (assume @p1629 (forall @t1319 (= (tptp.hAPP @t2163 @t1318) (tptp.hAPP (tptp.hAPP @t2165 @t2164) (tptp.hAPP @t2163 @t72))))) % 45.25/45.44 (assume @p1630 (forall @t1319 (= (tptp.hAPP (tptp.hAPP @t2162 @t2164) @t72) (tptp.hAPP @t2163 (tptp.hAPP (tptp.hAPP @t1264 @t66) @t72))))) % 45.25/45.44 (assume @p1631 (forall @t2148 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t35) (=> @t1721 (not (= @t2142 @t1707)))))) % 45.25/45.44 (assume @p1632 (forall @t2145 (=> @t1600 (= (tptp.hAPP (tptp.hAPP @t2121 @t1160) @t1254) (tptp.hAPP @t2166 @t2140))))) % 45.25/45.44 (assume @p1633 (forall @t2148 (=> @t1599 (= @t2168 @t2167)))) % 45.25/45.44 (assume @p1634 (forall @t2170 (=> @t1599 (= (tptp.hAPP @t2169 @t1254) @t1597)))) % 45.25/45.44 (assume @p1635 (forall @t2149 (=> @t1599 (= (tptp.hAPP @t2141 @t1310) (tptp.hAPP (tptp.hAPP @t2121 @t2146) @t1254))))) % 45.25/45.44 (assume @p1636 (forall @t2145 (=> @t2033 @t2171))) % 45.25/45.44 (assume @p1637 (forall @t331 (=> @t1599 (= (tptp.hAPP @t2141 @t1569) @t83)))) % 45.25/45.44 (assume @p1638 (forall @t2145 (=> @t1645 (=> @t94 (=> @t1770 (tptp.hBOOL (tptp.hAPP @t2172 @t2140))))))) % 45.25/45.44 (assume @p1639 (forall @t2148 (=> @t1645 (=> @t1770 (tptp.hBOOL (tptp.hAPP @t1759 @t2142)))))) % 45.25/45.44 (assume @p1640 (forall @t2148 (=> @t1645 (=> @t1799 (tptp.hBOOL (tptp.hAPP @t1798 @t2142)))))) % 45.25/45.44 (assume @p1641 (forall @t2136 (=> (and @t2173 (tptp.class_Rings_Omult__zero @t10) (tptp.class_Rings_Ono__zero__divisors @t10) (tptp.class_Rings_Ozero__neq__one @t10)) (= (= @t2135 @t1704) (and @t1706 @t1734))))) % 45.25/45.44 (assume @p1642 (forall @t2148 (=> @t1645 (=> @t2174 (tptp.hBOOL (tptp.hAPP @t1831 @t2142)))))) % 45.25/45.44 (assume @p1643 (forall @t2170 (=> @t2177 (= (tptp.hAPP @t2175 @t1574) @t1707)))) % 45.25/45.44 (assume @p1644 (forall (@list @t445 @t402 @t153 @t10) (=> @t2156 (=> (tptp.hBOOL (tptp.hAPP @t2154 @t153)) (= (= (tptp.hAPP @t2134 @t402) @t2135) @t1263))))) % 45.25/45.44 (assume @p1645 (forall @t2148 (=> @t1599 (= @t2178 @t2168)))) % 45.25/45.44 (assume @p1646 (forall @t2148 (=> @t2176 (= @t2178 @t2167)))) % 45.25/45.44 (assume @p1647 (forall @t331 (=> @t2176 (= (tptp.hAPP @t2141 @t1700) @t1597)))) % 45.25/45.44 (assume @p1648 (forall @t2149 (=> @t1599 (= (tptp.hAPP @t2141 @t1308) (tptp.hAPP (tptp.hAPP @t1154 @t2146) @t2142))))) % 45.25/45.44 (assume @p1649 (forall (@list @t1254 @t83 @t87 @t35) (=> @t2074 (=> @t1720 @t2171)))) % 45.25/45.44 (assume @p1650 (forall @t2148 (=> @t2033 (= (tptp.hAPP @t2179 @t2142) (tptp.hAPP (tptp.hAPP @t2121 (tptp.hAPP @t2179 @t83)) @t1254))))) % 45.25/45.44 (assume @p1651 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t2114 @t1701) @t1254) @t1701))) % 45.25/45.44 (assume @p1652 (forall (@list @t402 @t49) (= (= (tptp.hAPP @t2180 @t402) @t1701) (or @t1736 (= @t49 @t1701))))) % 45.25/45.44 (assume @p1653 (forall @t2181 (= (tptp.hBOOL (tptp.hAPP @t1703 (tptp.hAPP @t2180 @t445))) (or (tptp.hBOOL (tptp.hAPP @t1703 @t49)) @t1733)))) % 45.25/45.44 (assume @p1654 (forall @t2185 (=> (tptp.hBOOL (tptp.hAPP @t1703 @t1274)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t2184) @t2183)) @t1328)))) % 45.25/45.44 (assume @p1655 (forall @t2186 (=> @t1645 (=> @t2144 (=> @t1774 @t465))))) % 45.25/45.44 (assume @p1656 (forall @t2186 (=> @t1645 (=> (= @t2178 @t2187) (=> @t1770 (=> @t1774 @t97)))))) % 45.25/45.44 (assume @p1657 (forall @t2186 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2178) @t2187)) (=> @t1774 @t94))))) % 45.25/45.44 (assume @p1658 (forall @t2148 (=> @t1645 (=> @t2147 (tptp.hBOOL (tptp.hAPP @t1646 @t2167)))))) % 45.25/45.44 (assume @p1659 (forall @t2148 (=> @t1645 (=> @t2147 (tptp.hBOOL (tptp.hAPP @t2143 @t2167)))))) % 45.25/45.44 (assume @p1660 (forall @t2170 (=> @t2177 (and (=> @t1730 (= @t2188 @t1597)) (=> @t1731 (= @t2188 @t1707)))))) % 45.25/45.44 (assume @p1661 (forall @t2148 (=> @t1645 (=> @t2147 (tptp.hBOOL (tptp.hAPP @t1646 @t2178)))))) % 45.25/45.44 (assume @p1662 (forall @t2157 (=> @t2156 (=> @t2155 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2153) @t2152)) @t2189))))) % 45.25/45.44 (assume @p1663 (forall @t2149 (=> @t1645 (=> @t2147 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2146) @t2142)) @t1328))))) % 45.25/45.44 (assume @p1664 (forall @t2161 (=> @t1645 (=> @t2190 (=> @t2147 (tptp.hBOOL (tptp.hAPP @t2143 @t2159))))))) % 45.25/45.44 (assume @p1665 (forall @t2161 (=> @t1645 (=> @t2160 (=> @t2174 (tptp.hBOOL (tptp.hAPP @t2172 @t2159))))))) % 45.25/45.44 (assume @p1666 (forall @t2148 (=> @t2194 (= @t2193 (tptp.hAPP (tptp.hAPP @t1154 (tptp.hAPP @t2191 @t1254)) @t2142))))) % 45.25/45.44 (assume @p1667 (forall @t1445 (=> (tptp.hBOOL (tptp.hAPP @t1901 @t1274)) (tptp.hBOOL (tptp.hAPP @t1901 @t2183))))) % 45.25/45.44 (assume @p1668 (forall @t2148 (=> @t1645 (=> @t1799 (=> @t2195 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2167) @t2142))))))) % 45.25/45.44 (assume @p1669 (forall @t2186 (=> @t1645 (=> (= @t2142 @t2140) (=> @t1770 (=> @t1774 (=> @t1729 @t97))))))) % 45.25/45.44 (assume @p1670 (forall @t2148 (=> @t1645 (=> @t1799 (=> @t2195 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2178) @t1597))))))) % 45.25/45.44 (assume @p1671 (forall @t2161 (=> @t1645 (=> @t2190 (=> @t1799 (=> @t2195 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2159) @t2142)))))))) % 45.25/45.44 (assume @p1672 (forall @t144 (=> @t2173 (= @t2133 (tptp.c_Power_Opower_Opower @t10 @t1586 @t1111))))) % 45.25/45.44 (assume @p1673 (forall @t2117 (=> @t344 (=> @t675 (=> @t209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP @t294 @t171) @t174)) (tptp.hAPP (tptp.hAPP @t1493 @t174) @t25)))))))) % 45.25/45.44 (assume @p1674 (forall @t2117 (=> @t347 (=> @t675 (=> @t206 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP @t1489 @t174) @t25)) (tptp.hAPP (tptp.hAPP @t291 @t171) @t174)))))))) % 45.25/45.44 (assume @p1675 (forall @t2199 (=> (tptp.hBOOL (tptp.hAPP @t1703 @t2197)) (= @t2197 (tptp.hAPP tptp.c_Nat_OSuc @t2198))))) % 45.25/45.44 (assume @p1676 (forall @t820 (=> @t2200 (=> @t801 (=> @t798 @t818))))) % 45.25/45.44 (assume @p1677 (forall @t2201 (=> @t876 (not (forall @t1056 (=> @t1068 (not @t1069))))))) % 45.25/45.44 (assume @p1678 (forall @t2204 (= (tptp.hAPP @t2203 @t2202) @t72))) % 45.25/45.44 (assume @p1679 (forall @t2204 (= (tptp.hAPP (tptp.hAPP @t2165 @t2202) @t72) @t72))) % 45.25/45.44 (assume @p1680 (forall @t1373 (=> (tptp.hBOOL (tptp.hAPP @t2209 @t402)) (= @t2206 @t2205)))) % 45.25/45.44 (assume @p1681 (forall @t1326 (=> @t2213 (=> @t2211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2210 @t1274)) (tptp.hAPP @t2210 @t1273))))))) % 45.25/45.44 (assume @p1682 (forall @t2221 (= (tptp.hAPP @t2215 @t2220) (tptp.hAPP (tptp.hAPP @t2219 @t2218) @t2216)))) % 45.25/45.44 (assume @p1683 (forall @t2226 (= (tptp.hAPP (tptp.hAPP @t2165 @t2220) @t2032) (tptp.hAPP (tptp.hAPP @t2219 @t2225) @t2223)))) % 45.25/45.44 (assume @p1684 (forall @t2226 (= (tptp.hAPP (tptp.hAPP @t2165 @t2229) @t2032) (tptp.hAPP (tptp.hAPP @t2227 @t2225) @t2223)))) % 45.25/45.44 (assume @p1685 (forall @t2231 (= (tptp.hAPP (tptp.hAPP @t2165 (tptp.hAPP @t2224 @t2214)) @t2230) (tptp.hAPP @t2224 (tptp.hAPP @t2222 @t2230))))) % 45.25/45.44 (assume @p1686 (forall @t2221 (= (tptp.hAPP @t2215 @t2229) (tptp.hAPP (tptp.hAPP @t2227 @t2218) @t2216)))) % 45.25/45.44 (assume @p1687 (forall @t2234 (= @t2233 @t2232))) % 45.25/45.44 (assume @p1688 (forall @t2234 (= (tptp.hAPP (tptp.hAPP @t2165 @t2236) @t2032) (tptp.hAPP @t2235 @t2233)))) % 45.25/45.44 (assume @p1689 (forall @t109 (=> @t2242 (= @t2240 @t100)))) % 45.25/45.44 (assume @p1690 (forall (@list @t49 @t1432 @t10) (=> @t2244 (= (= @t2243 @t49) (= @t49 @t2243))))) % 45.25/45.44 (assume @p1691 (forall (@list @t49 @t757 @t1 @t348 @t2 @t40 @t10) (=> @t2200 @t1053))) % 45.25/45.44 (assume @p1692 (forall @t109 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2248 @t2238)) @t2247)))) % 45.25/45.44 (assume @p1693 (forall @t109 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2252 @t2238)) @t2251)))) % 45.25/45.44 (assume @p1694 (forall @t2262 (=> @t2261 (= @t2260 @t2257)))) % 45.25/45.44 (assume @p1695 (forall @t2262 (=> @t2261 (= @t2257 @t2260)))) % 45.25/45.44 (assume @p1696 (forall @t2263 (=> @t2261 (= (tptp.hAPP @t2256 (tptp.hAPP (tptp.hAPP @t1161 @t2254) @t72)) (tptp.hAPP (tptp.hAPP @t1161 @t2260) @t72))))) % 45.25/45.44 (assume @p1697 (forall @t2262 (=> @t2261 (= @t2268 @t2265)))) % 45.25/45.44 (assume @p1698 (forall @t2262 (=> @t2261 (= @t2265 @t2268)))) % 45.25/45.44 (assume @p1699 (forall @t2263 (=> @t2261 (= (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t1154 @t2254) @t72)) (tptp.hAPP (tptp.hAPP @t1154 @t2268) @t72))))) % 45.25/45.44 (assume @p1700 (forall @t2262 (=> @t2261 (= @t2273 @t2271)))) % 45.25/45.44 (assume @p1701 (forall @t2262 (=> @t2261 (= (tptp.hAPP @t2253 (tptp.hAPP (tptp.hAPP @t2219 @t1905) @t2032)) @t2273)))) % 45.25/45.44 (assume @p1702 (forall @t2276 (=> @t2261 (= @t2275 @t2274)))) % 45.25/45.44 (assume @p1703 (forall @t2276 (=> @t2261 (= @t2274 @t2275)))) % 45.25/45.44 (assume @p1704 (forall @t2279 (=> (and @t2244 @t116) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2277) @t2243)) (not (tptp.hBOOL (tptp.hAPP @t2278 @t2277))))))) % 45.25/45.44 (assume @p1705 (forall @t2285 (=> @t2284 (= (tptp.hAPP @t2281 (tptp.hAPP (tptp.hAPP @t1130 @t87) @t84)) (tptp.hAPP (tptp.hAPP @t1130 @t2283) @t2282))))) % 45.25/45.44 (assume @p1706 (forall @t2288 (=> @t2284 (= (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP (tptp.hAPP @t1130 @t83) @t87)) @t2280) (tptp.hAPP (tptp.hAPP @t1130 @t2287) @t2286))))) % 45.25/45.44 (assume @p1707 (forall (@list @t2032 @t84 @t1905 @t35) (=> @t2261 (= (tptp.hAPP @t2256 (tptp.hAPP (tptp.hAPP @t713 @t84) @t2254)) (tptp.hAPP (tptp.hAPP @t1161 @t2271) @t84))))) % 45.25/45.44 (assume @p1708 (forall (@list @t84 @t2032 @t1905 @t35) (=> @t2261 (= (tptp.hAPP @t2256 (tptp.hAPP (tptp.hAPP @t713 @t2254) @t84)) (tptp.hAPP (tptp.hAPP @t713 @t2260) @t84))))) % 45.25/45.44 (assume @p1709 (forall @t2285 (=> @t2289 (= (tptp.hAPP @t2281 (tptp.hAPP (tptp.hAPP @t695 @t87) @t84)) (tptp.hAPP (tptp.hAPP @t695 @t2283) @t2282))))) % 45.25/45.44 (assume @p1710 (forall @t2288 (=> @t2289 (= (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP (tptp.hAPP @t695 @t83) @t87)) @t2280) (tptp.hAPP (tptp.hAPP @t695 @t2287) @t2286))))) % 45.25/45.44 (assume @p1711 (forall @t2290 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t1154 @t2274) @t72) (tptp.hAPP (tptp.hAPP @t1154 @t2275) @t72))))) % 45.25/45.44 (assume @p1712 (forall @t2296 (=> @t2295 (and (=> @t2293 (= @t2292 @t2291)) (=> @t2294 (= @t2292 @t2280)))))) % 45.25/45.44 (assume @p1713 (forall @t2296 (=> @t2295 (and (=> @t2293 (= @t2297 @t2280)) (=> @t2294 (= @t2297 @t2291)))))) % 45.25/45.44 (assume @p1714 (forall @t2299 (=> @t2241 (tptp.hBOOL (tptp.hAPP @t2298 @t1939))))) % 45.25/45.44 (assume @p1715 (forall @t2306 (=> @t2305 (= (= @t153 @t2304) (and (=> @t2303 (= @t2302 @t171)) @t2301))))) % 45.25/45.44 (assume @p1716 (forall @t2309 (=> @t2305 (= (= @t2243 @t1993) (and (=> @t1996 (= @t2308 @t171)) @t2307))))) % 45.25/45.44 (assume @p1717 (forall @t2310 (=> @t2305 (= (= @t1993 @t2243) (and (=> @t1996 (= @t171 @t2308)) @t2307))))) % 45.25/45.44 (assume @p1718 (forall @t2311 (=> @t2305 (= (= @t2304 @t153) (and (=> @t2303 (= @t171 @t2302)) @t2301))))) % 45.25/45.44 (assume @p1719 (forall (@list @t153 @t2313 @t2312 @t10) (= (tptp.hAPP @t2314 @t1700) @t2312))) % 45.25/45.44 (assume @p1720 (forall (@list @t445 @t153 @t2313 @t2312 @t10) (= (tptp.hAPP @t2314 @t1604) (tptp.hAPP (tptp.hAPP @t2313 @t153) (tptp.hAPP @t2314 @t445))))) % 45.25/45.44 (assume @p1721 (forall @t2311 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2304) @t153)) (and (=> @t2318 @t2320) (=> @t2319 (and (=> @t2315 @t2317) (=> @t2316 @t1800)))))))) % 45.25/45.44 (assume @p1722 (forall @t2310 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t2061 @t2243)) (and (=> @t1811 @t2323) (=> @t2066 (and (=> @t1810 @t2322) (=> @t2065 @t2318)))))))) % 45.25/45.44 (assume @p1723 (forall @t2309 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t2278 @t1993)) (and (=> @t1811 @t2322) (=> @t2066 (and (=> @t1810 @t2323) (=> @t2065 @t2315)))))))) % 45.25/45.44 (assume @p1724 (forall @t2306 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t515 @t2304)) (and (=> @t2318 @t2317) (=> @t2319 (and (=> @t2315 @t2320) (=> @t2316 @t1801)))))))) % 45.25/45.44 (assume @p1725 (forall @t2306 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t188 @t2304)) (and (=> @t2318 @t2325) (=> @t2319 (and (=> @t2315 @t2324) (=> @t2316 @t1775)))))))) % 45.25/45.44 (assume @p1726 (forall @t2309 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t2326 @t1993)) (and (=> @t1811 @t2328) (=> @t2066 (and (=> @t1810 @t2327) (=> @t2065 (tptp.hBOOL (tptp.hAPP @t2326 @t1704)))))))))) % 45.25/45.44 (assume @p1727 (forall @t2310 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP @t2021 @t2243)) (and (=> @t1811 @t2327) (=> @t2066 (and (=> @t1810 @t2328) (=> @t2065 (tptp.hBOOL (tptp.hAPP @t1773 @t2243)))))))))) % 45.25/45.44 (assume @p1728 (forall @t2311 (=> @t2321 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2304) @t153)) (and (=> @t2318 @t2324) (=> @t2319 (and (=> @t2315 @t2325) (=> @t2316 @t1776)))))))) % 45.25/45.44 (assume @p1729 (forall @t829 (=> @t2200 (=> @t801 (=> @t866 (= @t908 @t810)))))) % 45.25/45.44 (assume @p1730 (forall @t829 (=> @t2200 (=> @t801 @t909)))) % 45.25/45.44 (assume @p1731 (forall @t820 (=> @t2200 (=> @t801 (=> (tptp.hBOOL (tptp.hAPP @t799 @t25)) @t1050))))) % 45.25/45.44 (assume @p1732 (forall @t2276 (=> @t2261 (= (tptp.hAPP @t2253 (tptp.c_Int_Opred @t2032)) (tptp.hAPP (tptp.hAPP @t1161 @t1657) @t2254))))) % 45.25/45.44 (assume @p1733 (forall @t1671 (=> @t2330 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t2329 @t5)))) (tptp.hBOOL (tptp.hAPP @t2329 @t1503)))))) % 45.25/45.44 (assume @p1734 (forall @t1671 (=> @t2330 (=> (forall @t7 (=> @t205 @t1935)) (tptp.hBOOL (tptp.hAPP @t1927 @t1503)))))) % 45.25/45.44 (assume @p1735 (forall (@list @t58 @t757 @t10) (=> @t759 (=> @t1037 (=> (forall (@list @t3 @t1046) (=> @t1049 (=> (not (tptp.hBOOL (tptp.hAPP @t204 @t1046))) (=> @t1047 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t947 @t1046))))))) @t1045))))) % 45.25/45.44 (assume @p1736 (forall @t1488 (=> @t843 (=> (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2 @t348 @t705 @t99) (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2 @t348 @t25 @t1485))))) % 45.25/45.44 (assume @p1737 (forall @t2333 (=> @t2261 (= (tptp.hAPP @t2253 @t2332) (tptp.hAPP @t1650 @t2331))))) % 45.25/45.44 (assume @p1738 (forall @t2337 (= (tptp.hAPP (tptp.hAPP @t2219 @t2336) @t2335) (tptp.hAPP @t2334 @t2270)))) % 45.25/45.44 (assume @p1739 (forall @t2337 (= (tptp.hAPP @t2338 @t2335) (tptp.hAPP @t2334 @t2259)))) % 45.25/45.44 (assume @p1740 (forall @t2340 (= @t2339 (tptp.hAPP @t2334 @t2269)))) % 45.25/45.44 (assume @p1741 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2344) @t2343)) @t2342))) % 45.25/45.44 (assume @p1742 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2344) @t2343)) @t2347))) % 45.25/45.44 (assume @p1743 (forall @t2352 (and (=> @t2351 (= @t2349 @t2207)) (=> (not @t2351) (and (=> @t2350 (= @t2349 @t2202)) (=> (not @t2350) (= @t2349 @t2348))))))) % 45.25/45.44 (assume @p1744 (forall @t1129 (= (tptp.hAPP @t2354 (tptp.hAPP (tptp.hAPP @t2227 @t236) @t2202)) @t2353))) % 45.25/45.44 (assume @p1745 (forall @t1129 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2356 @t236) @t2355))) % 45.25/45.44 (assume @p1746 (forall @t1129 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2356) @t236) @t2357))) % 45.25/45.44 (assume @p1747 (forall @t1326 (=> @t2360 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.hAPP @t2358 @t1274)) (tptp.hAPP @t2358 @t1273)))))) % 45.25/45.44 (assume @p1748 (forall @t2340 (tptp.hBOOL (tptp.hAPP @t2361 @t2032)))) % 45.25/45.44 (assume @p1749 (forall @t2234 (or @t2364 @t2362))) % 45.25/45.44 (assume @p1750 (forall @t1326 (=> @t2360 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1273) @t1258)) (tptp.hBOOL (tptp.hAPP @t2359 @t1258)))))) % 45.25/45.44 (assume @p1751 (forall @t2234 (=> @t2364 (=> @t2362 (= @t72 @t2032))))) % 45.25/45.44 (assume @p1752 (forall @t2367 (= (tptp.hBOOL (tptp.hAPP @t2366 @t1432)) (and (tptp.hBOOL (tptp.hAPP @t2365 @t1432)) (not (= @t348 @t1432)))))) % 45.25/45.44 (assume @p1753 (forall @t2345 (= @t2347 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.c_Int_Opred @t160)) @t159))))) % 45.25/45.44 (assume @p1754 (forall (@list @t72 @t2370 @t2032 @t2371) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2371) @t2032)) (=> @t2372 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP (tptp.hAPP @t2227 @t2371) @t2370)) @t2369)))))) % 45.25/45.44 (assume @p1755 (forall @t1326 (=> @t2213 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2373 @t1258)) (tptp.hAPP (tptp.hAPP @t2227 @t1273) @t1258)))))) % 45.25/45.44 (assume @p1756 (forall @t1473 (or (tptp.hBOOL (tptp.hAPP @t2375 @t66)) @t78 (tptp.hBOOL (tptp.hAPP @t2374 @t34))))) % 45.25/45.44 (assume @p1757 (forall @t2204 (= (tptp.hAPP @t2235 @t2236) @t72))) % 45.25/45.44 (assume @p1758 (forall @t2376 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t34)) @t34))) % 45.25/45.44 (assume @p1759 (forall @t2234 (= (tptp.hAPP @t2235 @t2379) (tptp.hAPP @t2377 @t2269)))) % 45.25/45.44 (assume @p1760 (forall @t2234 (= @t2379 @t2369))) % 45.25/45.44 (assume @p1761 (forall @t1319 (= (tptp.hAPP @t2380 (tptp.hAPP @t2381 @t72)) (tptp.hAPP @t2381 (tptp.hAPP @t2380 @t72))))) % 45.25/45.44 (assume @p1762 (forall @t2231 (= (tptp.hAPP (tptp.hAPP @t2227 @t2229) @t2230) (tptp.hAPP @t2228 (tptp.hAPP (tptp.hAPP @t2227 @t2214) @t2230))))) % 45.25/45.44 (assume @p1763 (forall @t2234 (= @t2384 @t2383))) % 45.25/45.44 (assume @p1764 (forall @t2234 (= @t2383 @t2384))) % 45.25/45.44 (assume @p1765 (forall @t2204 (= (tptp.hAPP @t2378 @t2207) @t72))) % 45.25/45.44 (assume @p1766 (forall @t2204 (= (tptp.hAPP (tptp.hAPP @t2227 @t2207) @t72) @t72))) % 45.25/45.44 (assume @p1767 (forall @t2204 (= (tptp.hAPP @t2377 @t72) @t2207))) % 45.25/45.44 (assume @p1768 (forall @t1533 (tptp.hBOOL (tptp.hAPP @t2387 @t2386)))) % 45.25/45.44 (assume @p1769 (= (tptp.hAPP @t2235 @t2207) @t2207)) % 45.25/45.44 (assume @p1770 (forall @t2345 (= @t2342 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP (tptp.hAPP @t2219 @t160) @t159)) @t2207))))) % 45.25/45.44 (assume @p1771 (forall @t2390 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2389 @t348)) @t348)) @t2207)) @t2388))) % 45.25/45.44 (assume @p1772 (forall @t2395 (= @t2394 (or @t2393 @t2391)))) % 45.25/45.44 (assume @p1773 (forall @t2396 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2032) @t72)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.hAPP @t2368 @t2202)) @t72))))) % 45.25/45.44 (assume @p1774 (forall @t2204 (=> @t2399 (tptp.hBOOL (tptp.hAPP @t2209 @t2397))))) % 45.25/45.44 (assume @p1775 (forall @t2395 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.hAPP @t2400 @t2202)) @t348)) @t2393))) % 45.25/45.44 (assume @p1776 (forall @t2395 (= @t2394 @t2402))) % 45.25/45.44 (assume @p1777 (tptp.hBOOL (tptp.hAPP @t2209 @t2202))) % 45.25/45.44 (assume @p1778 (forall @t2390 (= (tptp.hBOOL (tptp.hAPP @t2404 @t348)) @t2403))) % 45.25/45.44 (assume @p1779 (forall @t2395 (= (tptp.hBOOL (tptp.hAPP @t2401 (tptp.hAPP @t2405 @t2202))) @t2393))) % 45.25/45.44 (assume @p1780 (forall @t2408 (= @t2407 (tptp.hAPP @t2406 @t2202)))) % 45.25/45.44 (assume @p1781 (not (= @t2207 @t2202))) % 45.25/45.44 (assume @p1782 (forall @t2204 (not (= (tptp.hAPP (tptp.hAPP @t2227 @t2397) @t72) @t2207)))) % 45.25/45.44 (assume @p1783 (forall @t2408 (= @t2332 (tptp.hAPP @t2358 @t2202)))) % 45.25/45.44 (assume @p1784 (forall @t1482 (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2 @t348 @t142 @t348))) % 45.25/45.44 (assume @p1785 (forall (@list @t2102 @t2103 @t40 @t10) (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2103 @t2102 @t142 @t2102))) % 45.25/45.44 (assume @p1786 (forall @t2337 (= (tptp.hAPP (tptp.hAPP @t2165 @t2336) @t2335) (tptp.hAPP @t2334 @t2267)))) % 45.25/45.44 (assume @p1787 (forall @t2414 (=> @t2413 (=> @t2412 (=> (tptp.hBOOL (tptp.hAPP @t2409 @t83)) (tptp.hBOOL (tptp.hAPP @t2404 @t2120))))))) % 45.25/45.44 (assume @p1788 (forall @t2414 (=> @t2413 (=> @t2412 (=> @t2416 (tptp.hBOOL (tptp.hAPP @t2415 @t2202))))))) % 45.25/45.44 (assume @p1789 (forall @t2431 (=> @t2430 (=> @t2427 (=> @t2425 (=> @t2424 (=> @t2422 (=> @t2421 @t2419)))))))) % 45.25/45.44 (assume @p1790 (forall @t2437 (=> @t2436 (=> @t2435 (=> @t2434 (=> (tptp.hBOOL (tptp.hAPP @t2433 @t2423)) @t2432)))))) % 45.25/45.44 (assume @p1791 (forall @t2431 (=> @t2430 (=> @t2440 (=> @t2439 (=> @t2416 (=> @t2422 (=> @t2421 @t2432)))))))) % 45.25/45.44 (assume @p1792 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t2387 @t2353)))) % 45.25/45.44 (assume @p1793 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t2387 @t2441)))) % 45.25/45.44 (assume @p1794 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t2387 @t2355)))) % 45.25/45.44 (assume @p1795 (forall @t1129 (tptp.hBOOL (tptp.hAPP @t2387 @t2357)))) % 45.25/45.44 (assume @p1796 (forall @t2408 (= (tptp.hAPP @t2334 @t1258) @t1258))) % 45.25/45.44 (assume @p1797 (not (tptp.hBOOL (tptp.hAPP @t2387 (tptp.c_Orderings_Otop__class_Otop @t2442))))) % 45.25/45.44 (assume @p1798 (forall @t2443 (=> @t2440 (=> @t2439 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t2398 @t2417))))))) % 45.25/45.44 (assume @p1799 (forall @t2443 (=> @t2427 (=> @t2424 (=> @t2422 (tptp.hBOOL (tptp.hAPP @t2418 @t2207))))))) % 45.25/45.44 (assume @p1800 (forall @t2437 (=> @t2436 (=> @t2424 (=> (tptp.hBOOL (tptp.hAPP @t2438 @t87)) (=> @t2425 @t2419)))))) % 45.25/45.44 (assume @p1801 (forall (@list @t749 @t1143) (and (=> @t2446 (= @t2445 @t2447)) (=> (not @t2446) (= @t2445 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t749) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2444 @t1143))))))) % 45.25/45.44 (assume @p1802 (forall @t2450 (=> @t2449 (tptp.hBOOL (tptp.hAPP @t2398 @t2448))))) % 45.25/45.44 (assume @p1803 (forall @t1473 (=> @t2449 (=> @t2452 (tptp.hBOOL (tptp.hAPP @t2398 @t2451)))))) % 45.25/45.44 (assume @p1804 (tptp.hBOOL (tptp.hAPP @t2398 @t2202))) % 45.25/45.44 (assume @p1805 (forall @t1473 (=> @t2449 (=> @t2452 (tptp.hBOOL (tptp.hAPP @t2398 @t2453)))))) % 45.25/45.44 (assume @p1806 (tptp.hBOOL (tptp.hAPP @t2398 @t2207))) % 45.25/45.44 (assume @p1807 (forall @t2469 (=> @t2468 (=> @t2467 (forall @t7 (=> @t2465 (=> @t2457 (tptp.hBOOL (tptp.hAPP @t2456 @t2455))))))))) % 45.25/45.44 (assume @p1808 (forall @t2476 (=> @t2468 (=> @t2475 (forall @t7 (=> @t2473 (=> @t2472 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2471) @t545))))))))) % 45.25/45.44 (assume @p1809 (forall @t2477 (=> @t2468 (forall @t7 (=> @t2473 (=> @t2457 (tptp.hBOOL (tptp.hAPP @t2456 @t2471)))))))) % 45.25/45.44 (assume @p1810 (forall @t2478 (=> @t2468 (forall @t7 (=> @t2465 (=> @t2472 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2455) @t545)))))))) % 45.25/45.44 (assume @p1811 (forall (@list @t58 @t170) (=> @t2485 (=> (forall (@list @t3 @t1384) (= @t287 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2454 (tptp.hAPP (tptp.hAPP @t2165 @t1384) @t170)))))) (= @t2483 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2479 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2202 @t170))) @t287))))))) % 45.25/45.44 (assume @p1812 (forall @t2469 (=> @t2468 (=> @t2467 (=> (forall @t7 (=> @t2486 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t2463 @t24)) (not (= @t545 (tptp.hAPP (tptp.hAPP @t2227 @t380) @t3))))))) (= (tptp.hAPP @t2466 @t394) @t545)))))) % 45.25/45.44 (assume @p1813 (forall @t2476 (=> @t2468 (=> @t2475 (=> (forall @t7 (=> @t2486 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t2463 @t25)) (not (= @t545 (tptp.hAPP (tptp.hAPP @t2219 @t380) @t3))))))) (= (tptp.hAPP @t2474 @t394) @t545)))))) % 45.25/45.44 (assume @p1814 (forall @t2476 (=> @t2468 (=> @t2489 (forall @t7 (=> @t2473 (=> @t2487 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2471) @t545))))))))) % 45.25/45.44 (assume @p1815 (forall @t2469 (=> @t2468 (=> @t2492 (forall @t7 (=> @t2465 (=> @t2491 (tptp.hBOOL (tptp.hAPP @t2490 @t2455))))))))) % 45.25/45.44 (assume @p1816 (forall @t2469 (=> @t2468 (=> @t2492 (forall @t7 (=> @t2465 (=> @t2493 (not (= @t2455 @t545))))))))) % 45.25/45.44 (assume @p1817 (forall @t2476 (=> @t2468 (=> @t2489 (forall @t7 (=> @t2473 (=> @t2493 (not (= @t2471 @t545))))))))) % 45.25/45.44 (assume @p1818 (forall @t2477 (=> @t2468 (forall @t7 (=> @t2473 (=> @t2491 (tptp.hBOOL (tptp.hAPP @t2490 @t2471)))))))) % 45.25/45.44 (assume @p1819 (forall @t2478 (=> @t2468 (forall @t7 (=> @t2465 (=> @t2487 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2455) @t545)))))))) % 45.25/45.44 (assume @p1820 (forall @t2499 (and (=> @t2497 (= @t2496 @t1689)) (=> @t2498 (= @t2496 (tptp.hAPP (tptp.hAPP @t1144 @t2494) @t1254)))))) % 45.25/45.44 (assume @p1821 (forall @t2506 (and @t2505 (=> (not @t2502) (= @t2500 @t2207))))) % 45.25/45.44 (assume @p1822 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2207)))) % 45.25/45.44 (assume @p1823 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2202)))) % 45.25/45.44 (assume @p1824 (forall @t2508 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t49))) @t2507))) % 45.25/45.44 (assume @p1825 (forall (@list @t2509) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2509)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2509) @t2207))))) % 45.25/45.44 (assume @p1826 (forall @t2199 (=> @t2497 @t2510))) % 45.25/45.44 (assume @p1827 (forall @t2518 (= (= @t2517 @t2516) (and (=> @t2515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2512) @t2207))) (=> (not @t2515) (and (=> @t2513 (= @t2514 @t2207)) (=> (not @t2513) (= @t2107 @t2511)))))))) % 45.25/45.44 (assume @p1828 (forall @t2527 (and (=> @t2497 (= @t2523 @t2522)) (=> @t2498 (and (=> @t2525 (= @t2523 (tptp.hAPP @t2495 @t1258))) (=> @t2526 (= @t2523 (tptp.hAPP (tptp.hAPP @t1144 @t2520) @t1258)))))))) % 45.25/45.44 (assume @p1829 (forall @t1473 (=> @t2449 (=> @t2452 (tptp.hBOOL (tptp.hAPP @t2398 @t2500)))))) % 45.25/45.44 (assume @p1830 (forall @t2530 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2529)) @t2528))) % 45.25/45.44 (assume @p1831 (forall @t2506 @t2505)) % 45.25/45.44 (assume @p1832 (forall @t2199 (and (=> @t2497 (= @t2531 @t1569)) (=> @t2498 (= @t2531 @t2494))))) % 45.25/45.44 (assume @p1833 (forall (@list @t2534 @t2103 @t2102 @t2533 @t2099 @t40 @t10) (= (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2099 @t2533 @t2102 @t2535) (or (and @t2536 (= @t2535 @t2533)) (exists @t633 (and (= @t2535 (tptp.hAPP (tptp.hAPP @t2099 @t3) @t630)) (tptp.hBOOL (tptp.hAPP @t204 @t2102)) (tptp.c_Nitpick_Ofold__graph_H @t10 @t40 @t2099 @t2533 (tptp.hAPP (tptp.hAPP @t686 @t2102) @t2532) @t630))))))) % 45.25/45.44 (assume @p1834 (forall @t2539 (=> @t1857 (=> @t2211 (= (tptp.hAPP (tptp.hAPP @t2538 (tptp.hAPP @t2537 @t1255)) @t1258) (tptp.hAPP @t2537 (tptp.hAPP @t1256 @t1701))))))) % 45.25/45.44 (assume @p1835 (forall @t2199 (and (=> @t2541 (= @t2198 @t1700)) (=> (not @t2541) (= @t2198 @t2540))))) % 45.25/45.44 (assume @p1836 (forall @t2546 (=> @t2485 (=> (forall @t7 (=> @t287 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2454 @t170))))) (=> @t2545 (forall @t7 (=> @t287 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2454 @t2543)))))))))) % 45.25/45.44 (assume @p1837 (forall @t2546 (=> @t2485 (=> (forall @t7 (=> @t287 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2470 @t170))))) (=> @t2545 (forall @t7 (=> @t287 (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2470 @t2543)))))))))) % 45.25/45.44 (assume @p1838 (forall @t2547 (= (tptp.hAPP (tptp.hAPP @t2538 @t2207) @t87) @t2207))) % 45.25/45.44 (assume @p1839 (forall @t2554 (= @t2553 @t2550))) % 45.25/45.44 (assume @p1840 (forall @t2554 (= (tptp.hAPP @t2549 @t2551) @t2555))) % 45.25/45.44 (assume @p1841 (= tptp.c_Int_OPls @t2207)) % 45.25/45.44 (assume @p1842 (tptp.hBOOL (tptp.hAPP @t2556 tptp.c_Int_OPls))) % 45.25/45.44 (assume @p1843 (not (tptp.hBOOL (tptp.hAPP @t2557 tptp.c_Int_OPls)))) % 45.25/45.44 (assume @p1844 (forall @t2408 (= (tptp.hAPP @t2558 @t1258) @t1258))) % 45.25/45.44 (assume @p1845 (forall @t2408 (= (tptp.hAPP @t2358 tptp.c_Int_OPls) @t1258))) % 45.25/45.44 (assume @p1846 (forall @t331 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t2559 @t1707) @t83) @t1707)))) % 45.25/45.44 (assume @p1847 (forall @t331 (=> @t2560 (= (tptp.hAPP @t2561 @t1707) @t1707)))) % 45.25/45.44 (assume @p1848 (forall @t2340 (= (tptp.hAPP (tptp.hAPP @t2165 tptp.c_Int_OPls) @t2032) tptp.c_Int_OPls))) % 45.25/45.44 (assume @p1849 (forall @t2408 (= (tptp.hAPP @t2406 tptp.c_Int_OPls) @t1258))) % 45.25/45.44 (assume @p1850 (= @t2562 tptp.c_Int_OPls)) % 45.25/45.44 (assume @p1851 (forall @t331 (=> @t2560 (= (tptp.hAPP @t2561 @t1597) @t83)))) % 45.25/45.44 (assume @p1852 (forall @t1473 (=> @t2449 (=> @t2452 (tptp.hBOOL (tptp.hAPP @t2398 @t2564)))))) % 45.25/45.44 (assume @p1853 (forall @t2571 (=> @t2570 (= @t2568 (tptp.hBOOL (tptp.hAPP @t2565 @t2207)))))) % 45.25/45.44 (assume @p1854 (forall @t2571 (=> @t2573 (= @t2568 (tptp.hBOOL (tptp.hAPP @t2209 @t153)))))) % 45.25/45.44 (assume @p1855 (forall @t2554 (=> @t2576 (=> @t2574 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2555) @t2207)))))) % 45.25/45.44 (assume @p1856 (forall @t2579 (=> @t2578 (= (tptp.hAPP @t2552 @t83) @t2202)))) % 45.25/45.44 (assume @p1857 (forall @t216 (=> @t2261 (= @t2580 @t1707)))) % 45.25/45.44 (assume @p1858 (forall @t216 (=> @t2261 (= @t1707 @t2580)))) % 45.25/45.44 (assume @p1859 (forall @t331 (=> @t2261 (= (tptp.hAPP @t1164 @t2580) @t83)))) % 45.25/45.44 (assume @p1860 (forall @t331 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t1161 @t2580) @t83) @t83)))) % 45.25/45.44 (assume @p1861 (not (tptp.hBOOL (tptp.hAPP @t2557 @t2207)))) % 45.25/45.44 (assume @p1862 (= @t2581 @t1700)) % 45.25/45.44 (assume @p1863 (= @t1700 @t2581)) % 45.25/45.44 (assume @p1864 (= @t2207 @t2582)) % 45.25/45.44 (assume @p1865 (forall @t1214 (=> @t2560 @t2585))) % 45.25/45.44 (assume @p1866 (forall @t1214 (=> @t2560 (=> @t2002 (= (tptp.hAPP (tptp.hAPP @t2559 @t1185) @t1170) @t2583))))) % 45.25/45.44 (assume @p1867 (forall @t467 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t1355) @t87) @t83))))) % 45.25/45.44 (assume @p1868 (forall @t467 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t1160) @t87) @t83))))) % 45.25/45.44 (assume @p1869 (forall @t1214 (=> @t2560 (and (=> @t2001 (= @t2584 @t1707)) @t2585)))) % 45.25/45.44 (assume @p1870 (forall @t331 (=> @t2560 (=> @t1721 (= (tptp.hAPP @t2561 @t83) @t1597))))) % 45.25/45.44 (assume @p1871 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2582)))) % 45.25/45.44 (assume @p1872 (forall @t2591 (= (= @t2590 @t2207) (or @t2589 (and (tptp.hBOOL (tptp.hAPP @t2398 @t749)) (tptp.hBOOL (tptp.hAPP @t2588 @t160))) (and @t2587 (tptp.hBOOL (tptp.hAPP @t2341 @t749))))))) % 45.25/45.44 (assume @p1873 (forall @t2571 (=> @t2570 (= @t2593 @t2592)))) % 45.25/45.44 (assume @p1874 (forall (@list @t749 @t160) (=> @t2594 (= (tptp.hBOOL (tptp.hAPP @t2209 @t2590)) (tptp.hBOOL (tptp.hAPP @t2346 @t749)))))) % 45.25/45.44 (assume @p1875 (forall @t2596 (=> @t2592 (= (tptp.hBOOL (tptp.hAPP @t2209 @t2567)) (and (tptp.hBOOL (tptp.hAPP @t2595 @t153)) @t2570))))) % 45.25/45.44 (assume @p1876 (forall @t2600 (=> @t2599 (=> @t2422 (=> @t2421 (tptp.hBOOL (tptp.hAPP @t2598 @t2597))))))) % 45.25/45.44 (assume @p1877 (forall @t2554 (=> @t2599 (=> @t2602 @t2601)))) % 45.25/45.44 (assume @p1878 (forall @t2554 (=> @t2599 (=> @t2604 @t2603)))) % 45.25/45.44 (assume @p1879 (forall @t2571 (=> @t2573 (= @t2593 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t153) @t2207)))))) % 45.25/45.44 (assume @p1880 (forall @t2554 (=> @t2606 (=> @t2574 @t2601)))) % 45.25/45.44 (assume @p1881 (forall @t2600 (=> @t2576 (=> @t2422 (=> @t2421 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2597) @t2555))))))) % 45.25/45.44 (assume @p1882 (forall @t2554 (=> @t2606 (=> @t2607 @t2603)))) % 45.25/45.44 (assume @p1883 (forall @t2611 (=> @t2610 (=> @t2574 (tptp.hBOOL (tptp.hAPP @t2598 @t2609)))))) % 45.25/45.44 (assume @p1884 (forall @t2611 (=> @t2610 (=> @t2602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2609) @t2555)))))) % 45.25/45.44 (assume @p1885 (forall (@list @t1258 @t34) (=> (tptp.hBOOL (tptp.hAPP @t2209 @t34)) (=> (tptp.hBOOL (tptp.hAPP @t2612 @t1258)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2563 @t1258)) @t34)))))) % 45.25/45.44 (assume @p1886 (forall @t2615 (=> @t2614 (= (tptp.hAPP @t2552 @t2613) (tptp.hAPP (tptp.hAPP @t2538 @t2555) @t84))))) % 45.25/45.44 (assume @p1887 (forall @t39 (=> @t2616 (= (tptp.hAPP @t2026 @t2580) @t1707)))) % 45.25/45.44 (assume @p1888 (forall @t2530 (= @t2528 @t2618))) % 45.25/45.44 (assume @p1889 (forall @t2530 (= (= @t1700 @t2517) @t2618))) % 45.25/45.44 (assume @p1890 (tptp.hBOOL (tptp.hAPP @t2398 @t2582))) % 45.25/45.44 (assume @p1891 (forall @t2518 (= (tptp.hBOOL (tptp.hAPP @t2620 @t2516)) (and (=> @t2619 (tptp.hBOOL (tptp.hAPP @t2557 @t2511))) @t2619)))) % 45.25/45.44 (assume @p1892 (forall @t2518 (= (tptp.hBOOL (tptp.hAPP @t2621 @t2516)) (=> (not (tptp.hBOOL (tptp.hAPP @t2617 @t2511))) @t2618)))) % 45.25/45.44 (assume @p1893 (forall @t91 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t2623) @t87) @t2622))))) % 45.25/45.44 (assume @p1894 (forall @t91 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t2624) @t87) @t2622))))) % 45.25/45.44 (assume @p1895 (forall @t467 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t1165) @t87) @t2625))))) % 45.25/45.44 (assume @p1896 (forall @t467 (=> @t2560 (=> @t1720 (= (tptp.hAPP (tptp.hAPP @t2559 @t1184) @t87) @t2625))))) % 45.25/45.44 (assume @p1897 (forall @t195 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2248 @t1704)) (tptp.hBOOL (tptp.hAPP @t2246 tptp.c_Int_OPls)))))) % 45.25/45.44 (assume @p1898 (forall @t2626 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t1773 @t2238)) (tptp.hBOOL (tptp.hAPP @t2556 @t99)))))) % 45.25/45.44 (assume @p1899 (forall @t2626 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2238)) (tptp.hBOOL (tptp.hAPP @t2557 @t99)))))) % 45.25/45.44 (assume @p1900 (forall @t195 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2252 @t1704)) (tptp.hBOOL (tptp.hAPP @t2250 tptp.c_Int_OPls)))))) % 45.25/45.44 (assume @p1901 (forall @t2530 (= (tptp.hBOOL (tptp.hAPP @t1703 @t2517)) (tptp.hBOOL (tptp.hAPP @t2557 @t2107))))) % 45.25/45.44 (assume @p1902 (forall @t2631 (and (=> @t2629 (= @t2627 @t2521)) (=> @t2630 (and (=> @t2628 (= @t2627 @t2197)) (=> (not @t2628) (= @t2627 @t2520))))))) % 45.25/45.44 (assume @p1903 (forall @t2639 (= (tptp.hBOOL @t2638) (and (=> @t2589 @t2637) (=> @t2594 (forall @t1970 (=> (exists @t1850 @t2636) @t1968))) (=> @t2635 (forall @t1970 (=> (exists @t1850 @t2633) @t1968))))))) % 45.25/45.44 (assume @p1904 (forall (@list @t2643 @t66 @t2640 @t2641) (=> (= @t2641 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2647 @t66)) @t2643)) (=> (and (=> @t2645 (and (tptp.hBOOL (tptp.hAPP @t2398 @t2643)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2643) @t2640)))) (=> @t2646 (and (tptp.hBOOL (tptp.hAPP @t2644 @t2643)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2643) @t2207))))) (=> @t2642 (= (tptp.hAPP (tptp.hAPP @t2538 @t2641) @t2640) @t66)))))) % 45.25/45.44 (assume @p1905 (forall @t2527 (and (=> @t2629 (= @t2650 @t1700)) (=> @t2630 (= @t2650 (tptp.hAPP (tptp.hAPP @t1264 @t2648) @t1258)))))) % 45.25/45.44 (assume @p1906 (forall @t2631 (and (=> @t2629 (= @t2651 @t1700)) (=> @t2630 (= @t2651 @t2648))))) % 45.25/45.44 (assume @p1907 (forall (@list @t1255 @t1905) (=> (tptp.hBOOL (tptp.hAPP @t2557 @t1905)) (= (tptp.hAPP @t1628 @t2197) (tptp.hAPP @t1256 @t2540))))) % 45.25/45.44 (assume @p1908 (forall @t2199 (and (=> @t2629 (= @t2652 @t1569)) (=> @t2630 (= @t2652 @t2494))))) % 45.25/45.44 (assume @p1909 (forall @t2199 (and (=> @t2629 (= @t2653 @t1569)) (=> @t2630 (= @t2653 @t2494))))) % 45.25/45.44 (assume @p1910 (forall @t2660 (and (=> @t2657 (= @t2656 @t2659)) (=> @t2658 (= @t2656 (tptp.hAPP @t2235 (tptp.hAPP @t2655 @t2654))))))) % 45.25/45.44 (assume @p1911 (forall @t195 (=> @t2241 (= (= @t2239 @t1704) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 (tptp.hAPP @t2661 @t2562))))))) % 45.25/45.44 (assume @p1912 (forall @t2626 (=> @t2241 (= (= @t1704 @t2238) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 (tptp.hAPP @t2558 @t2662))))))) % 45.25/45.44 (assume @p1913 (forall @t2299 (=> @t2241 (=> (tptp.hBOOL (tptp.hAPP @t2556 @t1432)) (tptp.hBOOL (tptp.hAPP @t2298 @t2663)))))) % 45.25/45.44 (assume @p1914 (forall @t2337 (and (=> @t2497 (= @t2667 (tptp.hAPP @t2668 @t2664))) (=> @t2498 (= @t2667 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2665 @t2664))))))) % 45.25/45.44 (assume @p1915 (forall @t1309 (=> @t1376 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t2671 @t1258)) (tptp.hAPP @t2670 @t1258)))))) % 45.25/45.44 (assume @p1916 (forall @t1321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t2672) @t1255)))) % 45.25/45.44 (assume @p1917 (forall @t1440 (= (tptp.hAPP @t2673 @t2676) (tptp.hAPP (tptp.hAPP @t2669 @t2674) @t84)))) % 45.25/45.44 (assume @p1918 (forall @t1473 (=> @t2449 (= @t2680 @t2679)))) % 45.25/45.44 (assume @p1919 (forall @t1473 (=> @t2449 (=> @t2452 (= @t2679 @t2680))))) % 45.25/45.44 (assume @p1920 (forall @t216 (=> @t2681 (tptp.c_Int_Oiszero @t35 @t1707)))) % 45.25/45.44 (assume @p1921 (forall @t2683 (=> @t2682 (= (tptp.c_Int_Oiszero @t10 @t348) @t2047)))) % 45.25/45.44 (assume @p1922 (forall @t1382 (= (tptp.hAPP @t2671 @t1701) @t1255))) % 45.25/45.44 (assume @p1923 (forall @t1321 @t2684)) % 45.25/45.44 (assume @p1924 (forall @t1262 (and (=> @t2687 (= @t2685 @t1700)) (=> (not @t2687) @t2686)))) % 45.25/45.44 (assume @p1925 (= @t2688 @t1700)) % 45.25/45.44 (assume @p1926 (= @t1700 @t2688)) % 45.25/45.44 (assume @p1927 (forall @t216 (=> @t2681 (not (tptp.c_Int_Oiszero @t35 @t1597))))) % 45.25/45.44 (assume @p1928 (forall (@list @t2689 @t348) (=> @t2692 (=> (tptp.hBOOL (tptp.hAPP @t2398 @t2689)) (= (= @t2691 @t2690) (= @t348 @t2689)))))) % 45.25/45.44 (assume @p1929 (forall @t2695 (= @t2483 (exists @t7 (and @t2694 @t2693))))) % 45.25/45.44 (assume @p1930 (forall @t2695 (= @t2696 (forall @t7 (=> @t2694 @t2693))))) % 45.25/45.44 (assume @p1931 (forall @t2700 (=> @t2507 (=> @t2699 (= (= @t2698 @t2697) @t100))))) % 45.25/45.44 (assume @p1932 (forall @t2199 (= @t2197 (tptp.hAPP tptp.c_Int_Onat @t2336)))) % 45.25/45.44 (assume @p1933 (forall @t2340 (= (tptp.hAPP tptp.c_Int_Onat @t2335) @t2664))) % 45.25/45.44 (assume @p1934 (= @t1569 @t2701)) % 45.25/45.44 (assume @p1935 (forall @t2204 (=> @t2704 @t2703))) % 45.25/45.44 (assume @p1936 (forall @t1533 (= (tptp.hAPP @t2706 @t2386) @t2705))) % 45.25/45.44 (assume @p1937 (forall @t2631 (and (=> @t2497 (= @t2708 @t1700)) (=> @t2498 (= @t2708 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2707 @t2524))))))) % 45.25/45.44 (assume @p1938 (forall @t1129 (= (tptp.hAPP @t2706 @t2441) @t2711))) % 45.25/45.44 (assume @p1939 (forall @t1129 (= (tptp.hAPP @t2706 @t2355) @t2711))) % 45.25/45.44 (assume @p1940 (forall @t2713 (= (tptp.hAPP (tptp.hAPP @t2669 @t1701) @t2521) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2712 @t2524))))) % 45.25/45.44 (assume @p1941 (= @t1588 (tptp.hAPP @t2714 @t2447))) % 45.25/45.44 (assume @p1942 (forall @t1309 (=> @t1857 (=> @t1376 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t2715 @t1254)) (tptp.hAPP @t2715 @t1255))))))) % 45.25/45.44 (assume @p1943 (forall @t1383 (=> @t1729 (= (tptp.hAPP (tptp.hAPP @t2669 @t1320) @t1254) @t1255)))) % 45.25/45.44 (assume @p1944 (forall @t1383 (=> @t1729 (= (tptp.hAPP (tptp.hAPP @t2669 @t1310) @t1254) @t1255)))) % 45.25/45.44 (assume @p1945 (forall @t1262 (=> @t1859 @t2686))) % 45.25/45.44 (assume @p1946 (forall @t1383 (=> @t2717 (=> @t1857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t2672) @t1255)))))) % 45.25/45.44 (assume @p1947 (forall @t2204 (=> @t2718 @t2703))) % 45.25/45.44 (assume @p1948 (forall @t2720 (= (= @t2719 @t1700) @t2587))) % 45.25/45.44 (assume @p1949 (forall @t2395 (= @t2723 (and @t2403 @t2393)))) % 45.25/45.44 (assume @p1950 (forall @t2367 (=> @t2403 @t2724))) % 45.25/45.44 (assume @p1951 (forall @t2700 (=> @t2507 (=> @t2699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t2698) @t2697)) @t2247))))) % 45.25/45.44 (assume @p1952 (= @t2701 @t1701)) % 45.25/45.44 (assume @p1953 (forall @t216 (=> @t2261 (tptp.c_Int_Oiszero @t35 @t2580)))) % 45.25/45.44 (assume @p1954 (forall @t144 (=> @t2682 (tptp.hBOOL (tptp.hAPP @t1945 @t2663))))) % 45.25/45.44 (assume @p1955 (forall @t213 (=> @t2682 (=> @t2726 (=> @t2725 (tptp.hBOOL (tptp.hAPP @t1947 @t2663))))))) % 45.25/45.44 (assume @p1956 (forall @t213 (=> @t2682 (=> @t2726 (=> @t2725 (tptp.hBOOL (tptp.hAPP @t1949 @t2663))))))) % 45.25/45.44 (assume @p1957 (forall @t144 (=> @t2682 (tptp.hBOOL (tptp.hAPP @t1950 @t2663))))) % 45.25/45.44 (assume @p1958 (forall @t1383 (=> @t1729 (and @t2684 @t2729)))) % 45.25/45.44 (assume @p1959 (forall @t1383 (=> @t1729 @t2729))) % 45.25/45.44 (assume @p1960 (forall @t2639 (= (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t2669 @t445) @t160))) (and (=> @t1739 @t1896) (=> @t2733 (forall @t2732 (=> @t2731 (=> @t2730 @t1968)))))))) % 45.25/45.44 (assume @p1961 (forall @t2390 (= (tptp.hBOOL (tptp.hAPP @t1703 @t2691)) @t2403))) % 45.25/45.44 (assume @p1962 (forall @t2395 (=> @t2734 @t2724))) % 45.25/45.44 (assume @p1963 (forall @t2700 (=> @t2507 (=> @t2699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t2698) @t2697)) @t2251))))) % 45.25/45.44 (assume @p1964 (forall @t2395 (=> (or (tptp.hBOOL (tptp.hAPP @t2209 @t1432)) @t2692) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t2721) @t2691)) @t2402)))) % 45.25/45.44 (assume @p1965 (forall @t2737 (=> @t2399 (=> @t2736 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2378 @t2370)) (tptp.hAPP (tptp.hAPP @t1144 @t2702) @t2735)))))) % 45.25/45.44 (assume @p1966 (forall @t1473 (=> @t2449 (=> @t2452 (= (tptp.hAPP (tptp.hAPP @t1144 @t2678) @t2677) (tptp.hAPP tptp.c_Int_Onat @t2453)))))) % 45.25/45.44 (assume @p1967 (forall @t2737 (=> @t2399 (= @t2738 (tptp.hAPP (tptp.hAPP @t1264 @t2702) @t2735))))) % 45.25/45.44 (assume @p1968 (forall @t1473 (=> @t2449 (=> @t2452 (= (tptp.hAPP (tptp.hAPP @t1264 @t2678) @t2677) (tptp.hAPP tptp.c_Int_Onat @t2451)))))) % 45.25/45.44 (assume @p1969 (forall (@list @t72 @t2370) (=> @t2736 (=> @t2372 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2382 @t2370)) (tptp.hAPP (tptp.hAPP @t1091 @t2702) @t2735)))))) % 45.25/45.44 (assume @p1970 (forall @t1129 (= (tptp.hAPP @t2706 @t2353) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t2227 @t2710) @t2202))))) % 45.25/45.44 (assume @p1971 (forall @t2450 (=> @t2449 (= (tptp.hAPP (tptp.hAPP @t2114 @t2678) @t1254) (tptp.hAPP tptp.c_Int_Onat @t2448))))) % 45.25/45.44 (assume @p1972 (forall (@list @t1254 @t72) (=> @t2399 (= (tptp.hAPP tptp.c_Int_Onat @t2739) (tptp.hAPP (tptp.hAPP @t2114 @t2702) @t1254))))) % 45.25/45.44 (assume @p1973 (forall @t1473 (=> @t2449 (=> @t2452 (= (tptp.hAPP (tptp.hAPP @t1091 @t2678) @t2677) (tptp.hAPP tptp.c_Int_Onat @t2500)))))) % 45.25/45.44 (assume @p1974 (forall @t1129 (= (tptp.hAPP @t2706 @t2357) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2709 @t2356))))) % 45.25/45.44 (assume @p1975 (forall @t1383 (=> @t1729 (=> @t1387 @t2728)))) % 45.25/45.44 (assume @p1976 (forall (@list @t402 @t2741 @t445) (=> @t1732 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t1741 @t2741)) @t402)) (tptp.hBOOL (tptp.hAPP @t1344 (tptp.hAPP @t1741 (tptp.hAPP tptp.c_Nat_OSuc @t2741))))) (= @t2741 @t2740))))) % 45.25/45.44 (assume @p1977 (forall (@list @t445 @t402 @t58) (= (tptp.hBOOL (tptp.hAPP @t58 @t2740)) (or (and @t1733 @t1896) (exists @t2743 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t1741 @t2742)) @t402)) (tptp.hBOOL (tptp.hAPP @t1344 (tptp.hAPP @t1741 (tptp.hAPP tptp.c_Nat_OSuc @t2742)))) (tptp.hBOOL (tptp.hAPP @t58 @t2742)))))))) % 45.25/45.44 (assume @p1978 (forall @t2390 (= (tptp.hBOOL (tptp.hAPP @t1888 @t2691)) (tptp.hBOOL (tptp.hAPP @t2612 @t348))))) % 45.25/45.44 (assume @p1979 (forall @t2204 (=> @t2399 (= (tptp.hAPP tptp.c_Nat_OSuc @t2702) (tptp.hAPP tptp.c_Int_Onat @t2397))))) % 45.25/45.44 (assume @p1980 (forall @t2737 (=> @t2718 (= @t2738 (tptp.hAPP (tptp.hAPP @t1264 (tptp.hAPP tptp.c_Int_Onat @t2236)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2235 @t2370))))))) % 45.25/45.44 (assume @p1981 (forall @t109 (=> @t2241 (= @t2240 (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 (tptp.hAPP @t2661 @t2662))))))) % 45.25/45.44 (assume @p1982 (forall @t2499 (and (=> @t2497 (= @t2744 (tptp.hAPP @t2668 @t1254))) (=> @t2498 (= @t2744 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2665 @t1254))))))) % 45.25/45.44 (assume @p1983 (forall @t1445 (= (tptp.c_Int_Onat__aux @t1274 @t1254) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP tptp.c_Int_Onat @t1274)) @t1254)))) % 45.25/45.44 (assume @p1984 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t2398)) % 45.25/45.44 (assume @p1985 (forall @t2626 (=> @t2241 (= (= @t1586 @t2238) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 (tptp.hAPP @t2746 @t2662))))))) % 45.25/45.44 (assume @p1986 (forall @t195 (=> @t2241 (= (= @t2239 @t1586) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 (tptp.hAPP @t2661 @t2747))))))) % 45.25/45.44 (assume @p1987 (forall @t2753 (=> @t2261 (and (=> @t2751 @t2752) (=> (not @t2751) @t2750))))) % 45.25/45.44 (assume @p1988 (forall @t1383 (tptp.hBOOL (tptp.hAPP @t2758 @t2755)))) % 45.25/45.44 (assume @p1989 (forall @t1383 (tptp.hBOOL (tptp.hAPP @t2760 @t2755)))) % 45.25/45.44 (assume @p1990 (forall @t2763 (= (tptp.hAPP @t2714 @t2762) @t25))) % 45.25/45.44 (assume @p1991 (forall @t2767 (= (tptp.hAPP (tptp.hAPP @t2766 @t25) @t24) (tptp.hAPP @t2714 (tptp.hAPP (tptp.hAPP @t2765 @t2762) @t2764))))) % 45.25/45.44 (assume @p1992 (forall @t1380 (= (tptp.hAPP tptp.c_Int_Onat @t2756) @t1254))) % 45.25/45.44 (assume @p1993 (forall @t2408 (not (= @t2768 tptp.c_Int_OPls)))) % 45.25/45.44 (assume @p1994 (forall @t2770 (not (= tptp.c_Int_OPls @t2769)))) % 45.25/45.44 (assume @p1995 (forall @t485 (=> @t2774 (= (= @t2773 @t2772) @t1263)))) % 45.25/45.44 (assume @p1996 (forall @t2345 (= (= @t2777 @t2776) @t2775))) % 45.25/45.44 (assume @p1997 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2778 @t2776)) @t2342))) % 45.25/45.44 (assume @p1998 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2784 @t2782)) @t2781))) % 45.25/45.44 (assume @p1999 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2787 @t2782)) @t2786))) % 45.25/45.44 (assume @p2000 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2788 @t2776)) @t2347))) % 45.25/45.44 (assume @p2001 (forall @t1473 (= (tptp.hAPP (tptp.hAPP @t2538 @t2790) @t2789) (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t2669 @t34) @t66))))) % 45.25/45.44 (assume @p2002 (forall @t2554 (= (tptp.hAPP @t2754 @t2674) (tptp.hAPP (tptp.hAPP @t2538 @t2792) @t2791)))) % 45.25/45.44 (assume @p2003 (forall @t1380 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2756))))) % 45.25/45.44 (assume @p2004 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2754 @t1349)) % 45.25/45.44 (assume @p2005 (forall @t2763 (= @t1539 (tptp.hAPP @t2706 @t2762)))) % 45.25/45.44 (assume @p2006 (forall @t2795 (= (tptp.hBOOL (tptp.hAPP @t2794 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2459 @t2793) @t2762))))) % 45.25/45.44 (assume @p2007 (= @t2798 (tptp.hAPP @t2754 @t2797))) % 45.25/45.44 (assume @p2008 (forall @t2767 (= (tptp.hBOOL (tptp.hAPP @t1542 @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2799 @t2762) @t2764))))) % 45.25/45.44 (assume @p2009 (= @t2207 @t2800)) % 45.25/45.44 (assume @p2010 (= @t2800 @t2207)) % 45.25/45.44 (assume @p2011 (forall @t1735 (= (= @t2801 @t2207) @t1733))) % 45.25/45.44 (assume @p2012 (forall @t2695 (= (forall @t7 (=> @t2694 @t287)) (forall @t7 @t2802)))) % 45.25/45.44 (assume @p2013 (forall @t2695 (= (exists @t7 (and @t2694 @t287)) (exists @t7 @t2802)))) % 45.25/45.44 (assume @p2014 (forall @t2204 (tptp.hBOOL (tptp.hAPP @t2398 @t2803)))) % 45.25/45.44 (assume @p2015 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t2398 @t2756)))) % 45.25/45.44 (assume @p2016 (forall @t2408 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2804) @t2207))))) % 45.25/45.44 (assume @p2017 (forall @t2700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2793) @t2805)) @t2189))) % 45.25/45.44 (assume @p2018 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t2807 @t2801)) @t1345))) % 45.25/45.44 (assume @p2019 (forall @t2810 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2809) @t2207)) @t2808))) % 45.25/45.44 (assume @p2020 (forall @t2700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2793) @t2805)) @t2150))) % 45.25/45.44 (assume @p2021 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2806) @t2801)) @t1084))) % 45.25/45.44 (assume @p2022 (forall @t1473 (= (tptp.hAPP (tptp.hAPP @t2227 @t2790) @t2789) (tptp.hAPP @t2754 (tptp.hAPP @t1316 @t66))))) % 45.25/45.44 (assume @p2023 (forall (@list @t72 @t1254 @t1255) (= (tptp.hAPP @t2812 (tptp.hAPP (tptp.hAPP @t2227 @t2756) @t72)) (tptp.hAPP (tptp.hAPP @t2227 @t2811) @t72)))) % 45.25/45.44 (assume @p2024 (forall @t1321 (= (tptp.hAPP @t2812 @t2756) @t2811))) % 45.25/45.44 (assume @p2025 (forall @t2395 (= @t2402 (exists @t1596 (= @t348 (tptp.hAPP @t2400 @t2813)))))) % 45.25/45.44 (assume @p2026 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2556 @t2777)) @t2814))) % 45.25/45.44 (assume @p2027 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2778 tptp.c_Int_OPls)) @t2815))) % 45.25/45.44 (assume @p2028 (forall @t1653 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t1759 @t2816))))) % 45.25/45.44 (assume @p2029 (forall @t2170 (=> @t1645 (tptp.hBOOL (tptp.hAPP @t1759 @t2817))))) % 45.25/45.44 (assume @p2030 (forall @t1609 (= (= (tptp.hAPP @t2235 @t2801) @t2806) @t2818))) % 45.25/45.44 (assume @p2031 (forall @t1653 (=> @t1645 (not (tptp.hBOOL (tptp.hAPP @t2819 @t1707)))))) % 45.25/45.44 (assume @p2032 (forall @t2408 (= @t2768 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2389 @t1258)) @t1258)))) % 45.25/45.44 (assume @p2033 (forall @t1383 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2756) (tptp.hAPP @t2235 @t2755)))))) % 45.25/45.44 (assume @p2034 (forall @t1473 (= (tptp.hAPP (tptp.hAPP @t2165 @t2790) @t2789) (tptp.hAPP @t2754 @t2820)))) % 45.25/45.44 (assume @p2035 (forall @t1321 (= @t2822 @t2821))) % 45.25/45.44 (assume @p2036 (forall @t1321 (= @t2821 @t2822))) % 45.25/45.44 (assume @p2037 (forall @t216 (=> @t2681 (= (tptp.hAPP @t2748 @t1700) @t1707)))) % 45.25/45.44 (assume @p2038 (forall @t485 (=> @t2156 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t2773) @t2772)) @t1345)))) % 45.25/45.44 (assume @p2039 (forall @t1647 (=> @t1645 (=> @t1328 @t2823)))) % 45.25/45.44 (assume @p2040 (forall @t1647 (=> @t1645 (=> @t2823 @t1328)))) % 45.25/45.44 (assume @p2041 (= @t2202 @t2824)) % 45.25/45.44 (assume @p2042 (= @t2824 @t2202)) % 45.25/45.44 (assume @p2043 (forall @t485 (=> @t2156 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2773) @t2772)) @t1084)))) % 45.25/45.44 (assume @p2044 (forall @t1647 (=> @t2681 (= (tptp.hAPP @t2748 @t1308) (tptp.hAPP (tptp.hAPP @t1161 @t2816) @t2817))))) % 45.25/45.44 (assume @p2045 (forall @t1647 (=> @t2681 (= (tptp.hAPP @t2748 @t1310) (tptp.hAPP (tptp.hAPP @t1154 @t2816) @t2817))))) % 45.25/45.44 (assume @p2046 (forall @t2810 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t2334 @t2809))) @t2826))) % 45.25/45.44 (assume @p2047 (forall @t2204 (=> (not @t2704) @t2828))) % 45.25/45.44 (assume @p2048 (forall @t216 (=> @t2681 (= (tptp.hAPP @t2748 @t1569) @t1597)))) % 45.25/45.44 (assume @p2049 (forall @t2408 (= (tptp.hAPP @t2235 @t2768) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t2829))))) % 45.25/45.44 (assume @p2050 (forall @t2276 (=> (and @t2261 (tptp.class_Int_Oring__char__0 @t35)) (not (tptp.c_Int_Oiszero @t35 @t2830))))) % 45.25/45.44 (assume @p2051 (forall @t446 (=> @t1946 (tptp.hBOOL (tptp.hAPP @t2831 @t1939))))) % 45.25/45.44 (assume @p2052 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t2745)) % 45.25/45.44 (assume @p2053 (forall @t1647 (=> @t2681 (= (tptp.hAPP @t2748 @t2832) (tptp.hAPP (tptp.hAPP @t2121 @t2816) @t1254))))) % 45.25/45.44 (assume @p2054 (forall @t2450 (= (tptp.hAPP (tptp.hAPP @t2162 @t2790) @t1254) (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t2114 @t34) @t1254))))) % 45.25/45.44 (assume @p2055 (forall @t1321 (= @t2834 @t2833))) % 45.25/45.44 (assume @p2056 (forall @t1321 (= @t2833 @t2834))) % 45.25/45.44 (assume @p2057 (forall @t446 (=> @t2682 (tptp.hBOOL (tptp.hAPP @t2831 @t2663))))) % 45.25/45.44 (assume @p2058 (forall @t1473 (= (tptp.c_Nat__Transfer_Otsub @t2790 @t2789) (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t1091 @t34) @t66))))) % 45.25/45.44 (assume @p2059 (forall @t2763 (= (tptp.hBOOL (tptp.hAPP @t1128 @t25)) (tptp.hBOOL (tptp.hAPP @t2387 @t2762))))) % 45.25/45.44 (assume @p2060 (forall @t144 (=> @t2774 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t10 @t2771 @t1349)))) % 45.25/45.45 (assume @p2061 (forall @t2767 (= (tptp.hAPP (tptp.hAPP @t1150 @t25) @t24) (tptp.hAPP @t2714 (tptp.hAPP (tptp.hAPP @t2835 @t2762) @t2764))))) % 45.25/45.45 (assume @p2062 (= @t2447 (tptp.hAPP @t2761 @t1588))) % 45.25/45.45 (assume @p2063 (forall @t2276 (=> @t2261 (= @t2830 (tptp.hAPP (tptp.hAPP @t1161 @t2836) @t2254))))) % 45.25/45.45 (assume @p2064 (forall @t331 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t1154 @t2837) @t83) @t83)))) % 45.25/45.45 (assume @p2065 (forall @t331 (=> @t2261 (= (tptp.hAPP @t1155 @t2837) @t83)))) % 45.25/45.45 (assume @p2066 (forall @t1735 (= (tptp.hBOOL (tptp.hAPP @t2838 @t2207)) @t1733))) % 45.25/45.45 (assume @p2067 (forall @t216 (=> @t2261 (= @t2837 @t1597)))) % 45.25/45.45 (assume @p2068 (forall @t216 (=> @t2261 (= @t1597 @t2837)))) % 45.25/45.45 (assume @p2069 (= (tptp.hAPP @t2754 @t1701) @t2202)) % 45.25/45.45 (assume @p2070 (forall @t2395 (= @t2393 (exists @t1596 (= @t348 (tptp.hAPP @t2400 @t2839)))))) % 45.25/45.45 (assume @p2071 (forall @t2204 (and @t2840 (=> (not @t2399) (= @t2827 @t2207))))) % 45.25/45.45 (assume @p2072 (forall @t2841 (= (= @t2806 @t348) (and (= @t402 @t2691) @t2692)))) % 45.25/45.45 (assume @p2073 (forall @t2204 @t2840)) % 45.25/45.45 (assume @p2074 (forall @t2841 (= (tptp.hBOOL (tptp.hAPP @t1344 @t2691)) (tptp.hBOOL (tptp.hAPP @t2807 @t348))))) % 45.25/45.45 (assume @p2075 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2557 @t2777)) @t2814))) % 45.25/45.45 (assume @p2076 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2788 tptp.c_Int_OPls)) @t2815))) % 45.25/45.45 (assume @p2077 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP @t2838 (tptp.hAPP @t2235 @t2806))) @t2818))) % 45.25/45.45 (assume @p2078 (forall @t1382 (= (tptp.hAPP @t2754 @t1575) (tptp.hAPP @t2389 @t2755)))) % 45.25/45.45 (assume @p2079 (forall @t331 (=> @t2842 (= (tptp.hAPP @t1980 @t2837) @t83)))) % 45.25/45.45 (assume @p2080 (forall @t39 (=> @t2842 (= (tptp.hAPP @t2026 @t2837) @t34)))) % 45.25/45.45 (assume @p2081 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t2758 @t2207)))) % 45.25/45.45 (assume @p2082 (forall @t1380 (= (tptp.hAPP tptp.c_Int_Onat @t2757) @t1700))) % 45.25/45.45 (assume @p2083 (= @t2202 (tptp.hAPP @t2334 @t2745))) % 45.25/45.45 (assume @p2084 (forall @t1383 (=> @t1387 (= (tptp.hAPP (tptp.hAPP @t2219 @t2755) @t2756) (tptp.hAPP @t2754 @t1257))))) % 45.25/45.45 (assume @p2085 (= @t1569 @t2843)) % 45.25/45.45 (assume @p2086 (= @t2843 @t1569)) % 45.25/45.45 (assume @p2087 (forall @t1653 (=> @t2681 (= (tptp.hAPP @t2748 @t1575) (tptp.hAPP @t1650 @t2816))))) % 45.25/45.45 (assume @p2088 (forall @t1380 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2759)))) % 45.25/45.45 (assume @p2089 (forall (@list @t1255 @t1254 @t35) (=> @t2194 (=> @t1387 (= (tptp.hAPP @t2748 @t1257) (tptp.hAPP (tptp.hAPP @t713 @t2816) @t2817)))))) % 45.25/45.45 (assume @p2090 (forall @t216 (=> @t2261 (not (tptp.c_Int_Oiszero @t35 @t2837))))) % 45.25/45.45 (assume @p2091 (forall @t1373 (= @t1673 (tptp.hAPP @t2714 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2806 @t2801))))) % 45.25/45.45 (assume @p2092 (forall @t1735 (= (tptp.hBOOL (tptp.hAPP @t2209 @t2801)) @t1732))) % 45.25/45.45 (assume @p2093 (forall @t2845 (= (= @t2721 @t402) @t2844))) % 45.25/45.45 (assume @p2094 (forall (@list @t1432 @t402) (= (= @t402 @t2721) @t2844))) % 45.25/45.45 (assume @p2095 (forall @t2846 (= (tptp.hBOOL (tptp.hAPP @t58 @t2719)) (and (forall @t1596 (=> (= @t749 @t2813) (tptp.hBOOL (tptp.hAPP @t58 @t1593)))) (=> (tptp.hBOOL (tptp.hAPP @t2588 @t2207)) @t1896))))) % 45.25/45.45 (assume @p2096 (forall @t1326 (=> @t2213 (=> @t1859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2847 @t1274)) (tptp.hAPP @t2847 @t1273))))))) % 45.25/45.45 (assume @p2097 (= @t2843 @t1701)) % 45.25/45.45 (assume @p2098 (= @t2797 (tptp.hAPP tptp.c_Nat_OSuc @t2113))) % 45.25/45.45 (assume @p2099 (forall @t1380 (not (tptp.hBOOL (tptp.hAPP @t2398 @t2759))))) % 45.25/45.45 (assume @p2100 (forall @t1380 (tptp.hBOOL (tptp.hAPP @t2760 @t2207)))) % 45.25/45.45 (assume @p2101 (forall @t331 (=> @t1599 (= (tptp.hAPP @t2141 @t2797) (tptp.hAPP (tptp.hAPP @t1154 @t1156) @t83))))) % 45.25/45.45 (assume @p2102 (tptp.hBOOL (tptp.hAPP @t2398 @t2798))) % 45.25/45.45 (assume @p2103 (forall @t1380 (= @t2851 @t2849))) % 45.25/45.45 (assume @p2104 (forall @t2857 (= (tptp.hAPP @t2856 @t2197) (tptp.hAPP @t2853 @t2197)))) % 45.25/45.45 (assume @p2105 (forall @t1321 (= (tptp.hAPP @t2856 @t1254) (tptp.hAPP @t2853 @t1254)))) % 45.25/45.45 (assume @p2106 (forall @t1321 (= (tptp.hAPP @t2671 @t2851) (tptp.hAPP @t2671 @t2849)))) % 45.25/45.45 (assume @p2107 (forall (@list @t2107 @t402) (= (= @t2806 @t2514) (and (= @t402 (tptp.hAPP tptp.c_Int_Onat @t2514)) (tptp.hBOOL (tptp.hAPP @t2398 @t2514)))))) % 45.25/45.45 (assume @p2108 (= @t2797 (tptp.hAPP tptp.c_Int_Onat @t2798))) % 45.25/45.45 (assume @p2109 (forall @t446 (=> @t2156 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2772)) @t1732)))) % 45.25/45.45 (assume @p2110 (forall @t2199 (and (=> @t2497 (= @t2858 @t2207)) (=> @t2498 (= @t2858 @t2336))))) % 45.25/45.45 (assume @p2111 (forall @t1735 (= @t1870 (tptp.hAPP @t2714 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2207 @t2801))))) % 45.25/45.45 (assume @p2112 (forall @t195 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2248 @t1586)) (tptp.hBOOL (tptp.hAPP @t2246 @t2745)))))) % 45.25/45.45 (assume @p2113 (forall @t2626 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t1586) @t2238)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t2745) @t99)))))) % 45.25/45.45 (assume @p2114 (forall @t195 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2252 @t1586)) (tptp.hBOOL (tptp.hAPP @t2250 @t2745)))))) % 45.25/45.45 (assume @p2115 (forall @t2626 (=> @t2249 (= (tptp.hBOOL (tptp.hAPP @t2154 @t2238)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2745) @t99)))))) % 45.25/45.45 (assume @p2116 (forall @t2276 (=> @t2261 (= @t2836 (tptp.hAPP @t2253 (tptp.hAPP @t2746 @t2032)))))) % 45.25/45.45 (assume @p2117 (forall @t2753 (=> @t2261 (= (tptp.hAPP @t2256 @t1597) (tptp.hAPP @t2253 (tptp.hAPP @t2258 @t2745)))))) % 45.25/45.45 (assume @p2118 (forall @t2845 (=> @t2734 (= (tptp.hBOOL (tptp.hAPP @t2722 @t402)) (tptp.hBOOL (tptp.hAPP @t2392 @t2806)))))) % 45.25/45.45 (assume @p2119 (forall @t1383 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t2581) @t1254)) (= @t1629 (tptp.hAPP @t1256 (tptp.hAPP @t1259 @t2843)))))) % 45.25/45.45 (assume @p2120 (forall (@list @t99 @t49 @t58) (= (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t2754 @t2861))) (and (=> (tptp.hBOOL (tptp.hAPP @t2859 @t49)) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t2219 @t2793) @t2805)))) (=> @t2189 @t2637))))) % 45.25/45.45 (assume @p2121 (forall @t2753 (=> @t2261 (and (=> @t2497 @t2750) (=> @t2498 @t2752))))) % 45.25/45.45 (assume @p2122 (forall @t1533 (=> (tptp.hBOOL (tptp.hAPP @t2398 @t236)) (= @t2386 (tptp.hAPP @t2761 (tptp.hAPP @t1285 @t2705)))))) % 45.25/45.45 (assume @p2123 (forall @t2276 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t713 @t1597) @t2254) (tptp.hAPP @t2253 (tptp.hAPP @t2746 @t2269)))))) % 45.25/45.45 (assume @p2124 (forall @t2753 (=> @t2261 (= (tptp.hAPP @t2272 @t1597) (tptp.hAPP @t2253 (tptp.hAPP @t2258 @t2747)))))) % 45.25/45.45 (assume @p2125 (forall @t2554 (=> @t2599 (= @t2869 (tptp.hAPP @t2862 @t83))))) % 45.25/45.45 (assume @p2126 (forall @t2554 (=> @t2606 (= @t2869 (tptp.hAPP (tptp.hAPP @t2538 @t2870) @t83))))) % 45.25/45.45 (assume @p2127 (forall @t39 (=> @t2681 (=> @t2449 (= (tptp.hAPP @t2748 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2865 @t34))) (tptp.hAPP (tptp.hAPP @t1161 @t2871) @t2871)))))) % 45.25/45.45 (assume @p2128 (forall @t1380 (=> @t1729 (tptp.hBOOL (tptp.hAPP @t1703 (tptp.hAPP (tptp.hAPP @t2669 @t1688) @t2872)))))) % 45.25/45.45 (assume @p2129 (forall @t2170 (=> @t2194 (= (tptp.hAPP @t2191 @t2875) @t1657)))) % 45.25/45.45 (assume @p2130 (forall @t2877 (not (= @t2876 @t2769)))) % 45.25/45.45 (assume @p2131 (forall @t2877 (not (= @t2768 @t2878)))) % 45.25/45.45 (assume @p2132 (forall @t1373 (= (= @t2806 @t2801) @t1263))) % 45.25/45.45 (assume @p2133 (forall @t2767 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2880 @t25) @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2879 @t2762) @t2764))))) % 45.25/45.45 (assume @p2134 (forall @t2700 (= (= @t2793 @t2805) @t100))) % 45.25/45.45 (assume @p2135 (forall @t2767 (= @t26 (= @t2762 @t2764)))) % 45.25/45.45 (assume @p2136 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 45.25/45.45 (assume @p2137 (forall @t2882 (= (= tptp.c_Int_OPls @t2881) (= tptp.c_Int_OPls @t159)))) % 45.25/45.45 (assume @p2138 (forall @t1287 (= (= @t2883 tptp.c_Int_OPls) (= @t160 tptp.c_Int_OPls)))) % 45.25/45.45 (assume @p2139 (forall @t2408 (= @t2876 (tptp.hAPP @t2358 @t1258)))) % 45.25/45.45 (assume @p2140 (forall @t2877 (= (tptp.hAPP @t2885 @t2878) (tptp.c_Int_OBit0 @t2884)))) % 45.25/45.45 (assume @p2141 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2886 @t2881)) @t2347))) % 45.25/45.45 (assume @p2142 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2889 @t2887)) @t2786))) % 45.25/45.45 (assume @p2143 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2890 @t2887)) @t2781))) % 45.25/45.45 (assume @p2144 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2891 @t2881)) @t2342))) % 45.25/45.45 (assume @p2145 (forall @t2345 (= (= @t2883 @t2881) @t2775))) % 45.25/45.45 (assume @p2146 (forall @t2408 (= (tptp.hAPP @t2235 @t2876) (tptp.c_Int_OBit0 @t2829)))) % 45.25/45.45 (assume @p2147 (forall @t2877 (= (tptp.hAPP @t2894 @t2878) @t2893))) % 45.25/45.45 (assume @p2148 (forall @t2877 (= (tptp.hAPP (tptp.hAPP @t2165 @t2876) @t1331) @t2895))) % 45.25/45.45 (assume @p2149 (forall @t2810 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2896) @t2207)) @t2808))) % 45.25/45.45 (assume @p2150 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2556 @t2883)) @t2814))) % 45.25/45.45 (assume @p2151 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2886 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2346 tptp.c_Int_OPls))))) % 45.25/45.45 (assume @p2152 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2886 @t2776)) @t2347))) % 45.25/45.45 (assume @p2153 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2889 @t2782)) @t2786))) % 45.25/45.45 (assume @p2154 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2891 tptp.c_Int_OPls)) @t2815))) % 45.25/45.45 (assume @p2155 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2557 @t2883)) (tptp.hBOOL (tptp.hAPP @t2557 @t160))))) % 45.25/45.45 (assume @p2156 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2784 @t2887)) @t2781))) % 45.25/45.45 (assume @p2157 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2778 @t2881)) @t2342))) % 45.25/45.45 (assume @p2158 (forall @t2877 (= (tptp.hAPP @t2885 @t2769) @t2897))) % 45.25/45.45 (assume @p2159 (forall @t2877 (= (tptp.hAPP @t2898 @t2878) @t2897))) % 45.25/45.45 (assume @p2160 (forall @t2770 (= (tptp.hAPP @t2899 @t2878) (tptp.c_Int_OBit0 (tptp.hAPP @t2899 @t1331))))) % 45.25/45.45 (assume @p2161 (forall @t2877 (= (tptp.hAPP @t2900 @t2878) (tptp.c_Int_OBit1 @t2892)))) % 45.25/45.45 (assume @p2162 (forall @t2877 (= (tptp.hAPP @t2900 @t2769) @t2893))) % 45.25/45.45 (assume @p2163 (forall @t2337 (= (tptp.hAPP (tptp.hAPP @t2538 @t2904) @t2903) @t2901))) % 45.25/45.45 (assume @p2164 (forall @t2810 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t2334 @t2896))) @t2826))) % 45.25/45.45 (assume @p2165 (forall @t2408 (= (tptp.c_Int_Opred @t2768) @t2876))) % 45.25/45.45 (assume @p2166 (forall @t2408 (= (tptp.c_Int_Opred @t2876) (tptp.c_Int_OBit1 @t2407)))) % 45.25/45.45 (assume @p2167 (forall @t2299 (=> @t2242 (= (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t2237 @t2896)) (tptp.c_Int_Oiszero @t10 @t2243))))) % 45.25/45.45 (assume @p2168 (forall @t2408 (= (tptp.c_Int_Osucc @t2876) @t2768))) % 45.25/45.45 (assume @p2169 (forall @t2408 (= (tptp.c_Int_Osucc @t2768) (tptp.c_Int_OBit0 @t2332)))) % 45.25/45.45 (assume @p2170 (forall @t2276 (=> @t2261 (= @t2905 (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t1709 @t2254)) @t2254))))) % 45.25/45.45 (assume @p2171 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2787 @t2887)) @t2781))) % 45.25/45.45 (assume @p2172 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2788 @t2881)) @t2342))) % 45.25/45.45 (assume @p2173 (forall @t2785 (= (tptp.hBOOL (tptp.hAPP @t2890 @t2782)) @t2786))) % 45.25/45.45 (assume @p2174 (forall @t2345 (= (tptp.hBOOL (tptp.hAPP @t2891 @t2776)) @t2347))) % 45.25/45.45 (assume @p2175 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2906)) @t2872)) % 45.25/45.45 (assume @p2176 (forall @t2877 (= (tptp.hAPP (tptp.hAPP @t2165 @t2768) @t1331) (tptp.hAPP (tptp.hAPP @t2227 @t2895) @t1331)))) % 45.25/45.45 (assume @p2177 (forall @t2877 (= (tptp.hAPP @t2894 @t2769) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t2219 @t2407) @t1331))))) % 45.25/45.45 (assume @p2178 (forall @t2877 (= (tptp.hAPP @t2898 @t2769) (tptp.c_Int_OBit0 (tptp.hAPP @t2358 (tptp.c_Int_Osucc @t1331)))))) % 45.25/45.45 (assume @p2179 (forall @t2276 (=> @t2261 (= (tptp.hAPP @t1652 @t2254) @t2905)))) % 45.25/45.45 (assume @p2180 (forall @t1380 (=> (tptp.hBOOL (tptp.hAPP @t2398 @t2907)) (and (tptp.hBOOL (tptp.hAPP @t2398 (tptp.hAPP @t2334 (tptp.c_Int_OBit0 @t1254)))) (tptp.hBOOL (tptp.hAPP @t2398 (tptp.hAPP @t2334 (tptp.c_Int_OBit1 @t1254)))))))) % 45.25/45.45 (assume @p2181 (= @t2864 (tptp.hAPP @t2754 @t2872))) % 45.25/45.45 (assume @p2182 (forall @t2910 (=> @t2261 (= (tptp.hAPP @t2028 @t2909) @t2908)))) % 45.25/45.45 (assume @p2183 (forall @t2910 (=> @t2261 (= (tptp.hAPP @t2911 @t72) @t2908)))) % 45.25/45.45 (assume @p2184 (forall @t216 (=> @t2261 (= @t1651 @t2909)))) % 45.25/45.45 (assume @p2185 (forall @t154 (=> @t1656 (= (= @t2912 @t1704) @t1706)))) % 45.25/45.45 (assume @p2186 (forall @t216 (=> @t2681 (= (tptp.hAPP @t2175 @t2872) @t1707)))) % 45.25/45.45 (assume @p2187 (= @t2113 @t2872)) % 45.25/45.45 (assume @p2188 (= @t2872 @t2113)) % 45.25/45.45 (assume @p2189 (forall @t331 (=> @t1599 (= @t2913 @t1156)))) % 45.25/45.45 (assume @p2190 (forall @t39 (=> @t1350 (= @t1159 @t2914)))) % 45.25/45.45 (assume @p2191 (tptp.hBOOL (tptp.hAPP @t2398 @t2864))) % 45.25/45.45 (assume @p2192 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t1144 @t2872) @t1254) @t2850))) % 45.25/45.45 (assume @p2193 (forall @t1380 (= (tptp.hAPP @t1311 @t2872) @t2850))) % 45.25/45.45 (assume @p2194 (forall @t216 (=> @t2681 (= (tptp.hAPP @t2169 @t2872) @t1597)))) % 45.25/45.45 (assume @p2195 (forall @t331 (=> @t2194 (= (tptp.hAPP @t2192 @t2872) @t2913)))) % 45.25/45.45 (assume @p2196 (forall @t2204 (= (tptp.hAPP (tptp.hAPP @t1264 @t72) @t2872) @t2915))) % 45.25/45.45 (assume @p2197 (forall @t2204 (= (tptp.hAPP @t2873 @t72) @t2915))) % 45.25/45.45 (assume @p2198 (forall @t2148 (=> @t1599 (= @t2917 @t2916)))) % 45.25/45.45 (assume @p2199 (= @t2872 @t2918)) % 45.25/45.45 (assume @p2200 (= (tptp.hAPP @t1571 @t1569) @t2872)) % 45.25/45.45 (assume @p2201 (forall @t1382 (= (tptp.hAPP (tptp.hAPP @t2669 @t2854) @t2872) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2671 @t2872))))) % 45.25/45.45 (assume @p2202 (forall @t1382 (= (tptp.hAPP (tptp.hAPP @t2669 (tptp.hAPP @t1307 @t1255)) @t2872) @t1255))) % 45.25/45.45 (assume @p2203 (forall @t2920 (=> (and @t2034 @t2241) (= (tptp.hBOOL (tptp.hAPP @t1763 (tptp.hAPP (tptp.hAPP @t1991 @t2919) (tptp.hAPP @t2237 @t2863)))) (tptp.hBOOL (tptp.hAPP @t1763 @t2919)))))) % 45.25/45.45 (assume @p2204 (forall (@list @t1829 @t35) (=> (and @t2018 @t2261) (=> (tptp.hBOOL (tptp.hAPP @t1798 @t1829)) (tptp.hBOOL (tptp.hAPP @t1798 (tptp.hAPP (tptp.hAPP @t1978 @t1829) @t2909))))))) % 45.25/45.45 (assume @p2205 (forall @t331 (=> @t550 (tptp.hBOOL (tptp.hAPP @t1759 @t2913))))) % 45.25/45.45 (assume @p2206 (forall @t71 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t2914) @t2921)) (=> @t1885 @t69))))) % 45.25/45.45 (assume @p2207 (forall @t71 (=> @t1645 (=> (= @t2914 @t2921) (=> @t1886 (=> @t1885 @t78)))))) % 45.25/45.45 (assume @p2208 (forall @t154 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2912)) @t2922)))) % 45.25/45.45 (assume @p2209 (forall @t331 (=> @t550 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2913) @t1707)))))) % 45.25/45.45 (assume @p2210 (forall @t109 (=> @t1832 (= (= @t2924 @t1704) @t1749)))) % 45.25/45.45 (assume @p2211 (forall (@list @t2032 @t10) (=> (and (tptp.class_Groups_Omonoid__mult @t10) @t2244) (= (tptp.hAPP (tptp.hAPP @t2133 @t2925) @t2872) (tptp.hAPP (tptp.hAPP @t1111 @t2925) @t2925))))) % 45.25/45.45 (assume @p2212 (forall @t1380 (=> (tptp.hBOOL (tptp.hAPP @t1468 @t2872)) (or @t1730 (= @t1254 @t1701))))) % 45.25/45.45 (assume @p2213 (= @t2918 @t2113)) % 45.25/45.45 (assume @p2214 (forall @t154 (=> @t1656 (= (= @t2912 @t1586) (or (= @t153 @t1586) (= @t153 @t1654)))))) % 45.25/45.45 (assume @p2215 (forall @t2928 (=> @t1350 (= (tptp.hAPP @t2123 @t2874) @t2927)))) % 45.25/45.45 (assume @p2216 (forall @t2148 (=> @t2194 (= (tptp.hAPP @t2192 @t2874) @t2917)))) % 45.25/45.45 (assume @p2217 (forall @t71 (=> @t1645 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2914) @t2921)) (=> @t1885 @t452))))) % 45.25/45.45 (assume @p2218 (forall @t109 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2924) @t1704)) @t1749)))) % 45.25/45.45 (assume @p2219 (forall @t71 (=> @t550 (tptp.hBOOL (tptp.hAPP @t1759 @t2929))))) % 45.25/45.45 (assume @p2220 (forall @t109 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t1763 @t2924)) @t1762)))) % 45.25/45.45 (assume @p2221 (forall @t71 (=> @t550 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2929) @t1707)))))) % 45.25/45.45 (assume @p2222 (forall @t71 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t2121 (tptp.hAPP @t1232 @t66)) @t2872) (tptp.hAPP (tptp.hAPP @t1161 @t2929) @t2930))))) % 45.25/45.45 (assume @p2223 (forall @t2148 (=> @t550 (tptp.hBOOL (tptp.hAPP @t1759 @t2917))))) % 45.25/45.45 (assume @p2224 (forall @t2928 (=> @t1350 (= (tptp.hAPP @t2123 @t2875) (tptp.hAPP @t1158 @t2927))))) % 45.25/45.45 (assume @p2225 (forall @t2148 (=> @t1599 (= @t2931 (tptp.hAPP @t1155 @t2916))))) % 45.25/45.45 (assume @p2226 (forall @t2170 (=> @t2194 (= (tptp.hAPP @t2191 @t2874) @t1597)))) % 45.25/45.45 (assume @p2227 (forall @t2937 (and (=> @t2935 (= @t2934 @t2901)) (=> @t2936 (= @t2934 (tptp.hAPP (tptp.hAPP @t2538 @t2932) @t2335)))))) % 45.25/45.45 (assume @p2228 (forall @t1380 (=> @t2717 (tptp.hBOOL (tptp.hAPP @t1703 (tptp.hAPP @t2670 @t2872)))))) % 45.25/45.45 (assume @p2229 (forall @t71 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t2121 @t741) @t2872) (tptp.hAPP (tptp.hAPP @t713 @t2929) @t2930))))) % 45.25/45.45 (assume @p2230 (forall @t2148 (=> @t550 (=> (tptp.hBOOL (tptp.hAPP @t1759 @t2931)) @t1770)))) % 45.25/45.45 (assume @p2231 (forall @t2148 (=> @t550 (=> @t1809 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t2931) @t1707)))))) % 45.25/45.45 (assume @p2232 (forall @t2767 (=> @t2942 (=> @t2941 (= @t2940 (tptp.hAPP @t2761 (tptp.hAPP (tptp.hAPP @t2766 @t2939) @t2938))))))) % 45.25/45.45 (assume @p2233 (forall @t2767 (=> @t2942 (=> @t2941 (= @t2943 (tptp.hAPP @t2761 (tptp.hAPP (tptp.hAPP @t1150 @t2939) @t2938))))))) % 45.25/45.45 (assume @p2234 (forall @t2937 (and (=> @t2935 (= @t2944 (tptp.hAPP (tptp.hAPP @t2227 @t2945) @t2202))) (=> @t2936 (= @t2944 (tptp.hAPP (tptp.hAPP @t2219 (tptp.hAPP @t2865 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2932 @t2335))) @t2202)))))) % 45.25/45.45 (assume @p2235 (forall @t2554 (=> @t2606 (= @t2946 (tptp.hAPP (tptp.hAPP @t2219 (tptp.hAPP @t2865 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2870 @t83))) @t2202))))) % 45.25/45.45 (assume @p2236 (forall @t2554 (=> @t2599 (= @t2946 (tptp.hAPP @t2389 (tptp.hAPP @t2865 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t87 @t83))))))) % 45.25/45.45 (assume @p2237 (forall @t1440 (= @t2951 @t2948))) % 45.25/45.45 (assume @p2238 (forall @t1440 (= @t2948 @t2951))) % 45.25/45.45 (assume @p2239 (forall @t2954 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2219 @t2953) @t66) @t1255) @t2952))) % 45.25/45.45 (assume @p2240 (forall (@list @t1255 @t66 @t34) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2503 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t66 @t1255)) @t1255) @t2952))) % 45.25/45.45 (assume @p2241 (forall (@list @t1255 @t34) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2235 @t2953) @t1255) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2235 @t34) @t1255)))) % 45.25/45.45 (assume @p2242 (forall @t2554 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2548 @t2551) (tptp.hAPP @t2235 @t2955)))) % 45.25/45.45 (assume @p2243 (forall @t2554 (= @t2957 (tptp.hAPP @t2235 @t2956)))) % 45.25/45.45 (assume @p2244 (forall @t2964 (=> @t2963 (=> @t2962 (=> @t2960 (= @t2958 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t713 @t2608) @t2420) @t84))))))) % 45.25/45.45 (assume @p2245 (forall @t96 (=> @t2963 (= @t2958 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2965 @t2959) @t84))))) % 45.25/45.45 (assume @p2246 (forall @t96 (=> @t2963 (= @t2958 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2965 @t87) @t84))))) % 45.25/45.45 (assume @p2247 (forall @t96 (=> @t2963 (= @t2958 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t716 @t2959) @t84))))) % 45.25/45.45 (assume @p2248 (forall @t2964 (=> @t2560 (=> @t2962 (=> @t2960 (= @t2966 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t1161 @t2608) @t2420) @t84))))))) % 45.25/45.45 (assume @p2249 (forall @t1213 (=> @t2560 (= @t2968 @t2966)))) % 45.25/45.45 (assume @p2250 (forall @t96 (=> @t2560 (= @t2969 @t2966)))) % 45.25/45.45 (assume @p2251 (forall @t96 (=> @t2560 (= @t2966 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2967 @t2959) @t84))))) % 45.25/45.45 (assume @p2252 (forall @t96 (=> @t2560 (= @t2966 @t2968)))) % 45.25/45.45 (assume @p2253 (forall @t96 (=> @t2560 (= @t2966 @t2969)))) % 45.25/45.45 (assume @p2254 (forall @t467 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1184 @t87) @t2970)))) % 45.25/45.45 (assume @p2255 (forall @t225 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1165 @t87) @t2970)))) % 45.25/45.45 (assume @p2256 (forall @t225 (=> @t2963 (= @t2971 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t214 @t2970) @t87))))) % 45.25/45.45 (assume @p2257 (forall (@list @t2608 @t87 @t83 @t35) (=> @t2963 (=> (= @t2970 (tptp.c_Divides_Odiv__class_Omod @t35 @t2608 @t87)) (= @t2971 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t214 @t2608) @t87)))))) % 45.25/45.45 (assume @p2258 (forall @t2579 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t83) @t2207))) % 45.25/45.45 (assume @p2259 (forall @t331 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t83 @t83) @t1707)))) % 45.25/45.45 (assume @p2260 (forall @t331 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t83 @t1707) @t83)))) % 45.25/45.45 (assume @p2261 (forall @t2547 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2207 @t87) @t2207))) % 45.25/45.45 (assume @p2262 (forall @t331 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1707 @t83) @t1707)))) % 45.25/45.45 (assume @p2263 (forall @t225 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t2970 @t87) @t2970)))) % 45.25/45.45 (assume @p2264 (forall @t2964 (=> @t2560 (=> @t2962 (=> @t2960 (= @t2972 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t1154 @t2608) @t2420) @t84))))))) % 45.25/45.45 (assume @p2265 (forall @t1213 (=> @t2560 (= @t2974 @t2972)))) % 45.25/45.45 (assume @p2266 (forall @t1213 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1185 @t1170) (tptp.hAPP (tptp.hAPP @t1154 @t2970) @t84))))) % 45.25/45.45 (assume @p2267 (forall @t1214 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1787 @t1786) (tptp.hAPP @t1785 @t2970))))) % 45.25/45.45 (assume @p2268 (forall @t96 (=> @t2560 (= @t2972 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t2973 @t2959) @t84))))) % 45.25/45.45 (assume @p2269 (forall @t96 (=> @t2560 (= @t2972 @t2974)))) % 45.25/45.45 (assume @p2270 (forall @t96 (=> @t2560 (= @t2972 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1155 @t2959) @t84))))) % 45.25/45.45 (assume @p2271 (forall @t2954 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2162 @t2953) @t66) @t1255) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2164 @t1255)))) % 45.25/45.45 (assume @p2272 (forall @t467 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1355 @t87) @t1707)))) % 45.25/45.45 (assume @p2273 (forall @t225 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1160 @t87) @t1707)))) % 45.25/45.45 (assume @p2274 (forall @t1213 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t2624 @t87) @t2970)))) % 45.25/45.45 (assume @p2275 (forall @t96 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t2623 @t87) @t2970)))) % 45.25/45.45 (assume @p2276 (forall @t331 (=> @t2560 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t83 @t1597) @t1707)))) % 45.25/45.45 (assume @p2277 (forall @t225 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t2559 @t2970) @t87) @t1707)))) % 45.25/45.45 (assume @p2278 (forall @t1473 (=> @t2449 (=> @t2452 (tptp.hBOOL (tptp.hAPP @t2398 @t2975)))))) % 45.25/45.45 (assume @p2279 (forall @t2539 (=> (tptp.hBOOL (tptp.hAPP @t2398 @t1255)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1255 @t1258)) @t1255))))) % 45.25/45.45 (assume @p2280 (forall @t2977 (=> @t2574 @t2976))) % 45.25/45.45 (assume @p2281 (forall @t2977 (=> @t2602 @t2978))) % 45.25/45.45 (assume @p2282 (forall @t2979 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t402 @t170) @t2207) (exists @t2743 (= @t402 (tptp.hAPP (tptp.hAPP @t2165 @t170) @t2742)))))) % 45.25/45.45 (assume @p2283 (forall @t2877 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2829 @t1331) @t2207)) @t2981))) % 45.25/45.45 (assume @p2284 (forall @t2877 (=> (not (= @t2982 @t2207)) @t2981))) % 45.25/45.45 (assume @p2285 (forall @t2554 (= (tptp.hAPP (tptp.hAPP @t2538 @t2955) @t87) @t2207))) % 45.25/45.45 (assume @p2286 (forall @t2579 (and (= (tptp.hAPP @t2552 @t2207) @t2207) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t2207) @t83)))) % 45.25/45.45 (assume @p2287 (forall @t1440 (= (tptp.hAPP (tptp.hAPP @t2538 @t2985) @t84) (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2552 @t84)) @t2983)) (tptp.hAPP (tptp.hAPP @t2538 (tptp.hAPP (tptp.hAPP @t2227 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t84)) @t2949)) @t84))))) % 45.25/45.45 (assume @p2288 (tptp.c_Nat__Transfer_Onat__set @t2447)) % 45.25/45.45 (assume @p2289 (forall @t2767 (=> @t2942 (=> @t2941 (tptp.c_Nat__Transfer_Onat__set @t2943))))) % 45.25/45.45 (assume @p2290 (forall @t2767 (=> @t2942 (=> @t2941 (tptp.c_Nat__Transfer_Onat__set @t2940))))) % 45.25/45.45 (assume @p2291 (forall (@list @t525) (= (tptp.c_Nat__Transfer_Onat__set @t525) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2479 @t525)) @t2694))))) % 45.25/45.45 (assume @p2292 (forall @t225 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t1161 @t2970) @t2986) @t83)))) % 45.25/45.45 (assume @p2293 (forall @t467 (=> @t2560 (= @t2987 @t83)))) % 45.25/45.45 (assume @p2294 (forall @t225 (=> @t2560 (= @t2988 @t83)))) % 45.25/45.45 (assume @p2295 (forall @t91 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t1161 @t2987) @t84) @t1179)))) % 45.25/45.45 (assume @p2296 (forall @t96 (=> @t2560 (= (tptp.hAPP (tptp.hAPP @t1161 @t2988) @t84) @t1179)))) % 45.25/45.45 (assume @p2297 (forall @t2977 (=> @t2574 @t2989))) % 45.25/45.45 (assume @p2298 (forall @t2977 (=> @t2574 (and @t2989 @t2976)))) % 45.25/45.45 (assume @p2299 (forall @t2554 (=> @t2599 (=> @t2604 @t2990)))) % 45.25/45.45 (assume @p2300 (forall @t2977 (=> @t2602 @t2991))) % 45.25/45.45 (assume @p2301 (forall @t2977 (=> @t2602 (and @t2991 @t2978)))) % 45.25/45.45 (assume @p2302 (forall @t2554 (=> @t2606 (=> @t2607 @t2990)))) % 45.25/45.45 (assume @p2303 (forall (@list @t62) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2761 @t62)))) % 45.25/45.45 (assume @p2304 (forall @t2767 (=> @t2942 (=> @t2941 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2879 @t25) @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2880 @t2939) @t2938))))))) % 45.25/45.45 (assume @p2305 (forall @t2767 (=> @t2942 (=> @t2941 (= @t26 (= @t2939 @t2938)))))) % 45.25/45.45 (assume @p2306 (forall @t2554 (and (=> @t2992 (= @t2957 @t2207)) (=> @t2993 (= @t2957 (tptp.hAPP (tptp.hAPP @t2219 @t2955) @t87)))))) % 45.25/45.45 (assume @p2307 (forall @t2554 (and (=> @t2992 (= @t2956 @t2207)) (=> @t2993 (= @t2956 (tptp.hAPP @t2994 @t2955)))))) % 45.25/45.45 (assume @p2308 (forall @t2554 (= @t83 @t2995))) % 45.25/45.45 (assume @p2309 (forall @t1440 (= (tptp.hAPP (tptp.hAPP @t2538 @t2947) @t84) (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2410 @t2983)) (tptp.hAPP (tptp.hAPP @t2538 @t2950) @t84))))) % 45.25/45.45 (assume @p2310 (forall (@list @t1258 @t83 @t87) (= (tptp.hAPP (tptp.hAPP @t2227 @t2995) @t1258) @t2996))) % 45.25/45.45 (assume @p2311 (forall (@list @t1258 @t87 @t83) (= (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2165 @t2555) @t87)) @t2955)) @t1258) @t2996))) % 45.25/45.45 (assume @p2312 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t2165 @t1254) @t2999) (tptp.hAPP @t2998 @t2997)))) % 45.25/45.45 (assume @p2313 (forall @t1321 (= @t2997 (tptp.hAPP @t2998 (tptp.hAPP (tptp.hAPP @t2165 @t2999) @t1254))))) % 45.25/45.45 (assume @p2314 (forall @t2554 (=> @t2413 (=> @t3000 (= @t2955 @t2985))))) % 45.25/45.45 (assume @p2315 (forall @t2700 (=> @t2507 @t3001))) % 45.25/45.45 (assume @p2316 (forall @t3003 (=> @t2942 (=> @t3002 @t2507)))) % 45.25/45.45 (assume @p2317 (forall @t2639 (= (tptp.hBOOL (tptp.hAPP @t58 @t3005)) (and (=> @t2589 @t1971) (=> @t2594 (forall @t2732 (=> @t2636 @t3004))) (=> @t2635 (forall @t2732 (=> @t2633 @t3004))))))) % 45.25/45.45 (assume @p2318 (forall @t3007 (=> @t2614 (=> @t2416 (=> @t2425 (tptp.hBOOL (tptp.hAPP @t2398 @t3006))))))) % 45.25/45.45 (assume @p2319 (forall @t3007 (=> @t2614 (=> @t2416 (=> @t2425 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t3006) @t2613))))))) % 45.25/45.45 (assume @p2320 (forall @t3008 (=> @t2614 (=> @t2434 (=> @t2435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t2613) @t3006))))))) % 45.25/45.45 (assume @p2321 (forall @t3008 (=> @t2614 (=> @t2434 (=> @t2435 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t3006) @t2207))))))) % 45.25/45.45 (assume @p2322 (forall (@list @t66 @t3009 @t2640 @t2641) (=> (= @t2641 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2647 @t3009)) @t66)) (=> (and (=> @t2645 (and @t2452 (tptp.hBOOL (tptp.hAPP @t2374 @t2640)))) (=> @t2646 (and (tptp.hBOOL (tptp.hAPP @t2644 @t66)) (tptp.hBOOL (tptp.hAPP @t2501 @t2207))))) (=> @t2642 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2641 @t2640) @t66)))))) % 45.25/45.45 (assume @p2323 (forall @t2337 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2904 @t2903) @t2945))) % 45.25/45.45 (assume @p2324 (forall @t2615 (=> @t2614 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t2613) (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP @t2428 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2555 @t84))) @t2955))))) % 45.25/45.45 (assume @p2325 (forall @t2977 (=> @t3012 (and (=> @t2992 (= @t2550 @t3010)) (=> @t2993 (= @t2550 @t3011)))))) % 45.25/45.45 (assume @p2326 (forall @t2977 (=> @t3012 (and (=> @t2992 (= @t2553 @t3010)) (=> @t2993 (= @t2553 @t3011)))))) % 45.25/45.45 (assume @p2327 (forall @t2763 (=> @t2942 (= (tptp.hAPP @t2761 @t2939) @t25)))) % 45.25/45.45 (assume @p2328 (forall @t3015 (=> @t2594 (= @t3014 (forall @t2732 (=> @t2636 @t3013)))))) % 45.25/45.45 (assume @p2329 (forall @t3015 (=> @t2635 (= @t3014 (forall @t2732 (=> @t2633 @t3013)))))) % 45.25/45.45 (assume @p2330 (forall @t2763 (=> @t2942 (= (tptp.hBOOL (tptp.hAPP @t2387 @t25)) (tptp.hBOOL (tptp.hAPP @t1128 @t2939)))))) % 45.25/45.45 (assume @p2331 (forall @t2763 (=> @t2942 (= (tptp.hAPP @t2706 @t25) (tptp.hAPP @t1532 @t2939))))) % 45.25/45.45 (assume @p2332 (forall @t2767 (=> @t2942 (=> @t2941 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2799 @t25) @t24)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1541 @t2939) @t2938))))))) % 45.25/45.45 (assume @p2333 (forall @t2660 (and (=> @t2657 (= @t3016 @t2980)) (=> @t2658 (= @t3016 @t2982))))) % 45.25/45.45 (assume @p2334 (forall @t2170 (=> @t2261 (= (tptp.hAPP @t3018 @t2875) @t3017)))) % 45.25/45.45 (assume @p2335 (forall @t2170 (=> @t2261 (= (tptp.hAPP @t3018 @t2874) @t1597)))) % 45.25/45.45 (assume @p2336 (forall @t2713 (and (=> @t2525 (= @t3019 @t1701)) (=> @t2526 (= @t3019 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2202 @t2524))))))) % 45.25/45.45 (assume @p2337 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t3021 @t1255)))) % 45.25/45.45 (assume @p2338 (not (tptp.hBOOL (tptp.hAPP @t3022 tptp.c_Int_OMin)))) % 45.25/45.45 (assume @p2339 (forall @t1321 @t3023)) % 45.25/45.45 (assume @p2340 (forall @t1321 (= @t3025 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3024 @t1254)))) % 45.25/45.45 (assume @p2341 (forall @t1309 (= (tptp.hAPP (tptp.hAPP @t1264 @t3020) @t1258) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1306 @t1304)))) % 45.25/45.45 (assume @p2342 (forall @t1262 (= (tptp.hAPP @t1313 @t3020) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1315 @t1314)))) % 45.25/45.45 (assume @p2343 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 45.25/45.45 (assume @p2344 (forall @t2882 (= (= tptp.c_Int_OMin @t2776) (= tptp.c_Int_OMin @t159)))) % 45.25/45.45 (assume @p2345 (forall @t1287 (= (= @t2777 tptp.c_Int_OMin) (= @t160 tptp.c_Int_OMin)))) % 45.25/45.45 (assume @p2346 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 45.25/45.45 (assume @p2347 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 45.25/45.45 (assume @p2348 (tptp.hBOOL (tptp.hAPP @t3026 tptp.c_Int_OMin))) % 45.25/45.45 (assume @p2349 (forall @t2770 (not (= tptp.c_Int_OMin @t2878)))) % 45.25/45.45 (assume @p2350 (forall @t2408 (not (= @t2876 tptp.c_Int_OMin)))) % 45.25/45.45 (assume @p2351 (forall @t1321 (and (=> @t3027 (= @t3025 @t1700)) (=> (not @t3027) (= @t3025 @t3024))))) % 45.25/45.45 (assume @p2352 (forall @t1382 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1255 @t1701) @t1700))) % 45.25/45.45 (assume @p2353 (forall @t1383 (=> @t1729 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t3020) @t1254))))) % 45.25/45.45 (assume @p2354 (forall @t2979 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t402 @t170) @t1700) (exists @t2743 (= @t402 (tptp.hAPP (tptp.hAPP @t1264 @t170) @t2742)))))) % 45.25/45.45 (assume @p2355 (forall @t1321 @t3030)) % 45.25/45.45 (assume @p2356 (forall @t1321 (and @t3023 @t3030))) % 45.25/45.45 (assume @p2357 (forall @t1444 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3031 @t1254) @t3020))) % 45.25/45.45 (assume @p2358 (forall @t1383 (=> @t1387 @t3029))) % 45.25/45.45 (assume @p2359 (tptp.hBOOL (tptp.hAPP @t3022 @t2207))) % 45.25/45.45 (assume @p2360 (tptp.hBOOL (tptp.hAPP @t3026 tptp.c_Int_OPls))) % 45.25/45.45 (assume @p2361 (not (tptp.hBOOL (tptp.hAPP @t2556 tptp.c_Int_OMin)))) % 45.25/45.45 (assume @p2362 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t3026 @t2777)) (tptp.hBOOL (tptp.hAPP @t3026 @t160))))) % 45.25/45.45 (assume @p2363 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2788 tptp.c_Int_OMin)) @t3032))) % 45.25/45.45 (assume @p2364 (not (tptp.hBOOL (tptp.hAPP @t2557 tptp.c_Int_OMin)))) % 45.25/45.45 (assume @p2365 (tptp.hBOOL (tptp.hAPP @t3022 tptp.c_Int_OPls))) % 45.25/45.45 (assume @p2366 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2778 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t2341 tptp.c_Int_OMin))))) % 45.25/45.45 (assume @p2367 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t3022 @t2777)) @t3033))) % 45.25/45.45 (assume @p2368 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2886 tptp.c_Int_OMin)) @t3032))) % 45.25/45.45 (assume @p2369 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t3022 @t2883)) @t3033))) % 45.25/45.45 (assume @p2370 (forall @t1473 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2790 @t2789) (tptp.hAPP @t2754 @t3034)))) % 45.25/45.45 (assume @p2371 (forall @t2554 (= (tptp.hAPP @t2754 @t3035) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2792 @t2791)))) % 45.25/45.45 (assume @p2372 (not (= @t2582 @t3036))) % 45.25/45.45 (assume @p2373 (forall @t1440 (= (tptp.hAPP (tptp.hAPP @t2669 @t3039) @t84) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2673 @t84)) @t3038)) (tptp.hAPP (tptp.hAPP @t2669 (tptp.hAPP (tptp.hAPP @t1144 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t83 @t84)) @t3037)) @t84))))) % 45.25/45.45 (assume @p2374 (= tptp.c_Int_OMin @t2348)) % 45.25/45.45 (assume @p2375 (forall @t2408 (= (tptp.hAPP (tptp.hAPP @t2165 tptp.c_Int_OMin) @t1258) @t2829))) % 45.25/45.45 (assume @p2376 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3036))) % 45.25/45.45 (assume @p2377 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 45.25/45.45 (assume @p2378 (forall @t2408 (= (tptp.hAPP @t2358 tptp.c_Int_OMin) @t2407))) % 45.25/45.45 (assume @p2379 (forall @t2408 (= (tptp.hAPP (tptp.hAPP @t2227 tptp.c_Int_OMin) @t1258) @t2407))) % 45.25/45.45 (assume @p2380 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 45.25/45.45 (assume @p2381 (forall @t216 (=> @t2261 (not (tptp.c_Int_Oiszero @t35 @t3017))))) % 45.25/45.45 (assume @p2382 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 45.25/45.45 (assume @p2383 (forall @t2408 (= (tptp.hAPP @t2406 tptp.c_Int_OMin) @t2332))) % 45.25/45.45 (assume @p2384 (forall @t1383 (=> @t1729 (tptp.hBOOL (tptp.hAPP @t3021 @t1254))))) % 45.25/45.45 (assume @p2385 (forall @t1444 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t3031) @t1254) @t3025))) % 45.25/45.45 (assume @p2386 (forall @t2910 (=> @t2261 (= (tptp.hAPP (tptp.hAPP @t1154 @t3017) @t72) @t3040)))) % 45.25/45.45 (assume @p2387 (forall @t2910 (=> @t2261 (= (tptp.hAPP @t2028 @t3017) @t3040)))) % 45.25/45.45 (assume @p2388 (forall @t216 (=> @t2261 (= @t3017 @t1657)))) % 45.25/45.45 (assume @p2389 (forall @t216 (=> @t2261 (= @t1657 @t3017)))) % 45.25/45.45 (assume @p2390 (forall @t39 (=> @t2616 (= (tptp.hAPP @t2026 @t3017) @t220)))) % 45.25/45.45 (assume @p2391 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t2891 tptp.c_Int_OMin)) @t3032))) % 45.25/45.45 (assume @p2392 (forall @t1287 (= (tptp.hBOOL (tptp.hAPP @t3026 @t2883)) @t3033))) % 45.25/45.45 (assume @p2393 (forall @t1440 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t83 @t2676) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2675 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2674 @t84))) @t3035)))) % 45.25/45.45 (assume @p2394 (forall @t1440 (= (tptp.hAPP (tptp.hAPP @t2669 @t3042) @t84) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3041 @t3038)) (tptp.hAPP (tptp.hAPP @t2669 (tptp.hAPP @t3041 @t3037)) @t84))))) % 45.25/45.45 (assume @p2395 (forall @t1321 (= @t3044 @t3043))) % 45.25/45.45 (assume @p2396 (forall @t1383 (= (tptp.hAPP @t1303 @t2672) @t3043))) % 45.25/45.45 (assume @p2397 (forall @t1321 (= @t3020 (tptp.hAPP @t1256 @t3044)))) % 45.25/45.45 (assume @p2398 (forall @t2579 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t83 @t3036) @t2207))) % 45.25/45.45 (assume @p2399 (forall @t2770 (= (tptp.hAPP @t2899 @t2769) @t3047))) % 45.25/45.45 (assume @p2400 (= (tptp.hAPP @t2235 tptp.c_Int_OMin) @t2745)) % 45.25/45.45 (assume @p2401 (forall @t1373 (= @t2206 (or @t2205 (and (= @t402 @t3036) (= @t445 @t3036)))))) % 45.25/45.45 (assume @p2402 (forall @t1321 (=> (= @t3048 @t2202) (or (= @t1255 @t2202) (= @t1255 @t3036))))) % 45.25/45.45 (assume @p2403 (forall @t2770 (= (tptp.hAPP @t3045 @t2769) (tptp.c_Int_OBit0 @t3046)))) % 45.25/45.45 (assume @p2404 (forall @t2770 (= (tptp.hAPP @t3045 @t2878) @t3047))) % 45.25/45.45 (assume @p2405 (forall @t2579 (= (tptp.hAPP @t2552 @t3036) @t2548))) % 45.25/45.45 (assume @p2406 (forall @t2639 (= (tptp.hBOOL (tptp.hAPP @t58 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t445 @t160))) (and (=> @t1739 @t1971) (=> @t2733 (forall @t2732 (=> @t2731 (=> @t2730 @t3004)))))))) % 45.25/45.45 (assume @p2407 (forall @t3007 (=> @t3050 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t1829) @t87)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t3049) @t2676)))))) % 45.25/45.45 (assume @p2408 (forall (@list @t1255 @t1258) (=> (tptp.hBOOL (tptp.hAPP @t2716 @t1258)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1315) @t1258) @t1569)))) % 45.25/45.45 (assume @p2409 (forall @t1473 (=> @t2449 (=> @t2452 (= @t3052 @t3051))))) % 45.25/45.45 (assume @p2410 (forall @t1473 (=> @t2449 (=> @t2452 (= @t3051 @t3052))))) % 45.25/45.45 (assume @p2411 (forall @t39 (=> @t2616 (= (tptp.hAPP (tptp.hAPP @t1978 @t3017) @t34) (tptp.hAPP @t214 (tptp.hAPP @t2179 @t34)))))) % 45.25/45.45 (assume @p2412 (forall @t2547 (=> @t2574 (= (tptp.hAPP (tptp.hAPP @t2538 @t3036) @t87) @t3036)))) % 45.25/45.45 (assume @p2413 (forall @t1321 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1255 @t2851) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1255 @t2849)))) % 45.25/45.45 (assume @p2414 (forall @t1321 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2855 @t1254) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2852 @t1254)))) % 45.25/45.45 (assume @p2415 (forall @t2857 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2855 @t2197) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2852 @t2197)))) % 45.25/45.45 (assume @p2416 (forall @t1382 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2854 @t2872) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1255 @t2872)))) % 45.25/45.45 (assume @p2417 (forall @t2631 (and (=> @t2497 (= @t3053 @t1700)) (=> @t2498 (and (=> @t2525 (= @t3053 @t2197)) (=> @t2526 (= @t3053 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2336 @t2524))))))))) % 45.25/45.45 (assume @p2418 (forall @t2554 (=> @t2413 (=> @t3000 (= @t2555 @t3036))))) % 45.25/45.45 (assume @p2419 (forall @t2547 (=> @t2574 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3036 @t87) @t3054)))) % 45.25/45.45 (assume @p2420 (forall @t1640 (= (tptp.hBOOL (tptp.hAPP @t1703 @t3055)) (= @t3055 @t1569)))) % 45.25/45.45 (assume @p2421 (forall @t2408 (and (=> @t3063 (= @t3060 @t2207)) (=> (not @t3063) (and (=> @t3062 (= @t3060 @t3059)) (=> (not @t3062) (= @t3060 (tptp.hAPP (tptp.hAPP @t2227 @t3059) @t2202)))))))) % 45.25/45.45 (assume @p2422 (forall @t2795 (=> @t3064 (=> @t2942 (= @t3002 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1190 @t2698) @t2939))))))) % 45.25/45.45 (assume @p2423 (forall (@list @t3065 @t2 @t25 @t10 @t40) (=> (and @t1936 (tptp.class_Rings_Osemiring__1 @t40)) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3067 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t3066) @t3065)))) (tptp.hBOOL (tptp.hAPP @t1924 (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t40) @t1529)) @t3065))))))) % 45.25/45.45 (assume @p2424 (forall @t1373 (=> (tptp.c_Nat__Transfer_Ois__nat @t402) (=> (tptp.c_Nat__Transfer_Ois__nat @t445) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t402 @t445) (tptp.hAPP @t2761 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t402) (tptp.hAPP tptp.c_Int_Onat @t445)))))))) % 45.25/45.45 (assume @p2425 (= (tptp.hAPP (tptp.hAPP @t3069 @t3061) @t3068) @t3061)) % 45.25/45.45 (assume @p2426 (tptp.c_Nat__Transfer_Ois__nat @t2207)) % 45.25/45.45 (assume @p2427 (forall @t1473 (=> @t3071 (=> @t3070 (tptp.c_Nat__Transfer_Ois__nat @t2453))))) % 45.25/45.45 (assume @p2428 (forall @t2204 (tptp.c_Nat__Transfer_Ois__nat @t2803))) % 45.25/45.45 (assume @p2429 (tptp.c_Nat__Transfer_Ois__nat @t2202)) % 45.25/45.45 (assume @p2430 (forall @t1473 (=> @t3071 (=> @t3070 (tptp.c_Nat__Transfer_Ois__nat @t2451))))) % 45.25/45.45 (assume @p2431 (forall @t1473 (=> @t3071 (=> @t3070 (tptp.c_Nat__Transfer_Ois__nat @t2975))))) % 45.25/45.45 (assume @p2432 (forall @t1473 (=> @t3071 (=> @t3070 (tptp.c_Nat__Transfer_Ois__nat @t2564))))) % 45.25/45.45 (assume @p2433 (forall @t2450 (=> @t3071 (tptp.c_Nat__Transfer_Ois__nat @t2448)))) % 45.25/45.45 (assume @p2434 (forall @t1473 (=> @t3071 (=> @t3070 (tptp.c_Nat__Transfer_Ois__nat @t2500))))) % 45.25/45.45 (assume @p2435 (forall @t2508 (= @t3064 @t2507))) % 45.25/45.45 (assume @p2436 (forall @t2700 (=> @t3064 @t3001))) % 45.25/45.45 (assume @p2437 (forall @t3003 (=> @t2942 (=> @t3002 @t3064)))) % 45.25/45.45 (assume @p2438 (= @t3061 (tptp.hAPP @t3056 tptp.c_Int_OPls))) % 45.25/45.45 (assume @p2439 (tptp.c_Nat__Transfer_Ois__nat @t2798)) % 45.25/45.45 (assume @p2440 (tptp.c_Nat__Transfer_Ois__nat @t2864)) % 45.25/45.45 (assume @p2441 (= @t3068 (tptp.hAPP @t3056 @t2745))) % 45.25/45.45 (assume @p2442 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3061) @t1700)) % 45.25/45.45 (assume @p2443 (forall @t2333 (=> @t2194 (and (=> @t3074 (= @t3073 (tptp.hAPP @t214 (tptp.hAPP @t2748 (tptp.hAPP tptp.c_Int_Onat @t2829))))) (=> (not @t3074) (= @t3073 (tptp.hAPP @t2748 (tptp.hAPP tptp.c_Int_Onat @t1258)))))))) % 45.25/45.45 (assume @p2444 (forall @t1445 (and (=> @t3077 (= @t3076 @t1254)) (=> (not @t3077) (= @t3076 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t3075 @t3068) @t1574)))))) % 45.25/45.45 (assume @p2445 (forall @t2376 (=> (tptp.hBOOL (tptp.hAPP @t2375 @t2207)) (exists @t1596 (= @t34 (tptp.hAPP @t2235 @t2839)))))) % 45.25/45.45 (assume @p2446 (forall @t2333 (=> @t2261 (= @t2331 @t3073)))) % 45.25/45.45 (assume @p2447 (forall @t2340 (= @t2335 (tptp.hAPP @t3078 @t2032)))) % 45.25/45.45 (assume @p2448 (forall @t1380 (= (tptp.hAPP @t3078 @t2756) @t2756))) % 45.25/45.45 (assume @p2449 (forall @t3082 (=> @t1951 (= (= @t3081 @t3080) @t2391)))) % 45.25/45.45 (assume @p2450 (forall @t2683 (=> @t1951 (= (= @t3080 @t1704) @t3083)))) % 45.25/45.45 (assume @p2451 (forall @t2683 (=> @t1951 (= (= @t1704 @t3080) @t3083)))) % 45.25/45.45 (assume @p2452 (forall @t216 (=> @t2194 (= (tptp.hAPP @t3072 @t2207) @t1707)))) % 45.25/45.45 (assume @p2453 (forall @t3082 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t3081) @t3080)) @t2402)))) % 45.25/45.45 (assume @p2454 (forall @t3082 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t3081) @t3080)) @t2393)))) % 45.25/45.45 (assume @p2455 (forall @t2290 (=> @t2194 (= (tptp.hAPP @t3072 @t2369) (tptp.hAPP (tptp.hAPP @t1161 @t3085) @t3084))))) % 45.25/45.45 (assume @p2456 (forall @t2753 (=> @t2261 (= (tptp.hAPP @t3072 @t2336) @t2255)))) % 45.25/45.45 (assume @p2457 (forall @t2290 (=> @t2194 (= (tptp.hAPP @t3072 @t2232) (tptp.hAPP (tptp.hAPP @t1154 @t3085) @t3084))))) % 45.25/45.45 (assume @p2458 (forall @t216 (=> @t2194 (= (tptp.hAPP @t3072 @t2202) @t1597)))) % 45.25/45.45 (assume @p2459 (forall @t2290 (=> @t2194 (= (tptp.hAPP @t3072 (tptp.hAPP (tptp.hAPP @t2219 @t2032) @t72)) (tptp.hAPP (tptp.hAPP @t713 @t3085) @t3084))))) % 45.25/45.45 (assume @p2460 (forall @t2170 (=> @t2194 (= (tptp.hAPP @t3072 @t2756) @t2817)))) % 45.25/45.45 (assume @p2461 (forall @t2910 (=> @t2194 (= (tptp.hAPP @t3072 @t2236) (tptp.hAPP @t214 @t3084))))) % 45.25/45.45 (assume @p2462 (forall @t2683 (=> @t1946 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t3080) @t1939))))) % 45.25/45.45 (assume @p2463 (forall (@list @t1254 @t72 @t35) (=> @t2194 (= (tptp.hAPP @t3072 @t2739) (tptp.hAPP (tptp.hAPP @t2121 @t3084) @t1254))))) % 45.25/45.45 (assume @p2464 (forall @t216 (=> @t2261 (= (tptp.hAPP @t3072 @t3036) @t3017)))) % 45.25/45.45 (assume @p2465 (forall @t2683 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t1773 @t3080)) @t2692)))) % 45.25/45.45 (assume @p2466 (forall @t2683 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t3080) @t1704)) (tptp.hBOOL (tptp.hAPP @t2365 @t2207)))))) % 45.25/45.45 (assume @p2467 (forall @t2683 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t3080) @t1704)) @t2388)))) % 45.25/45.45 (assume @p2468 (forall @t2683 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP @t1763 @t3080)) @t2403)))) % 45.25/45.45 (assume @p2469 (forall @t2910 (=> @t2194 (=> @t2399 (= (tptp.hAPP @t2748 @t2702) @t3084))))) % 45.25/45.45 (assume @p2470 (forall @t3088 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3087) (tptp.hAPP (tptp.hAPP @t1144 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3086)) @t1701)))) % 45.25/45.45 (assume @p2471 (= (tptp.hAPP @t3089 @t3061) @t1700)) % 45.25/45.45 (assume @p2472 (forall @t2408 (=> @t2211 (exists @t1596 (and @t3090 (= @t1258 @t2813)))))) % 45.25/45.45 (assume @p2473 (forall (@list @t72 @t34 @t368) (=> @t3093 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2503 @t3092)) @t72))))) % 45.25/45.45 (assume @p2474 (forall @t225 (=> @t3097 (= @t3096 @t3095)))) % 45.25/45.45 (assume @p2475 (forall @t216 (=> @t550 (= (tptp.hAPP @t3094 @t1597) @t1597)))) % 45.25/45.45 (assume @p2476 (forall @t2170 (=> @t550 (= (tptp.hAPP @t3094 @t2817) @t2817)))) % 45.25/45.45 (assume @p2477 (forall @t1382 (= (tptp.hAPP @t3091 @t2755) @t2755))) % 45.25/45.45 (assume @p2478 (forall @t225 (=> @t3097 (=> @t3099 @t94)))) % 45.25/45.45 (assume @p2479 (forall @t331 (=> @t3097 (tptp.hBOOL (tptp.hAPP @t92 @t3098))))) % 45.25/45.45 (assume @p2480 (forall @t225 (=> @t2018 @t3101))) % 45.25/45.45 (assume @p2481 (forall @t331 (=> @t550 (= (tptp.hAPP @t3102 @t3098) @t1156)))) % 45.25/45.45 (assume @p2482 (forall @t225 (=> @t550 @t3104))) % 45.25/45.45 (assume @p2483 (forall @t331 (=> @t3097 (= (tptp.hAPP @t3094 @t3098) @t3098)))) % 45.25/45.45 (assume @p2484 (forall @t2148 (=> @t550 (= @t3107 @t3106)))) % 45.25/45.45 (assume @p2485 (forall @t331 (=> @t3097 (= (tptp.hAPP @t3094 @t222) @t3098)))) % 45.25/45.45 (assume @p2486 (forall @t225 (=> @t3097 (= (tptp.hAPP @t3094 @t3108) @t3108)))) % 45.25/45.45 (assume @p2487 (forall @t154 (=> @t3111 (= (= @t3110 @t1704) @t1706)))) % 45.25/45.45 (assume @p2488 (forall @t216 (=> @t3097 (= (tptp.hAPP @t3094 @t1707) @t1707)))) % 45.25/45.45 (assume @p2489 (forall (@list @t3112 @t3113) (= (= @t3114 (tptp.c_Code__Numeral_OSuc__code__numeral @t3112)) (= @t3113 @t3112)))) % 45.25/45.45 (assume @p2490 (forall @t331 (=> @t3097 (tptp.hBOOL (tptp.hAPP @t1759 @t3098))))) % 45.25/45.45 (assume @p2491 (forall @t154 (=> @t3111 (= (tptp.hBOOL (tptp.hAPP @t3115 @t1704)) @t1706)))) % 45.25/45.45 (assume @p2492 (forall @t331 (=> @t3097 (=> @t1770 @t3116)))) % 45.25/45.45 (assume @p2493 (forall @t331 (=> @t3097 (=> @t1799 @t3116)))) % 45.25/45.45 (assume @p2494 (forall @t154 (=> @t3111 (= (tptp.hBOOL (tptp.hAPP @t1763 @t3110)) @t2922)))) % 45.25/45.45 (assume @p2495 (forall @t331 (=> @t3097 (not (tptp.hBOOL (tptp.hAPP @t3117 @t1707)))))) % 45.25/45.45 (assume @p2496 (forall @t225 (=> @t3097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.hAPP @t3094 @t1165)) @t3108))))) % 45.25/45.45 (assume @p2497 (forall @t370 (=> @t550 (=> (tptp.hBOOL (tptp.hAPP @t3117 @t84)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t3100) @t368)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t447 @t3103) (tptp.hAPP @t1785 @t368)))))))) % 45.25/45.45 (assume @p2498 (forall @t225 (=> @t3097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.hAPP @t3094 @t3118)) @t3096))))) % 45.25/45.45 (assume @p2499 (forall @t225 (=> @t3097 (tptp.hBOOL (tptp.hAPP @t3119 @t3096))))) % 45.25/45.45 (assume @p2500 (forall @t225 (=> @t3097 (tptp.hBOOL (tptp.hAPP @t3119 @t3095))))) % 45.25/45.45 (assume @p2501 (forall @t225 (=> @t3097 (=> @t3099 @t3121)))) % 45.25/45.45 (assume @p2502 (forall @t225 (=> @t3097 (=> @t94 (=> @t3121 @t3099))))) % 45.25/45.45 (assume @p2503 (forall @t213 (=> @t3111 (= (tptp.hBOOL (tptp.hAPP @t3115 @t171)) (and @t189 @t234))))) % 45.25/45.45 (assume @p2504 (forall @t331 (=> @t3097 (tptp.hBOOL (tptp.hAPP @t3120 @t3098))))) % 45.25/45.45 (assume @p2505 (forall @t213 (=> @t1832 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t3110) @t171)) (and @t519 @t518))))) % 45.25/45.45 (assume @p2506 (forall @t467 (=> @t2019 (=> @t1720 @t3101)))) % 45.25/45.45 (assume @p2507 (forall @t2148 (=> @t550 (= (tptp.hAPP @t3094 @t2193) @t3107)))) % 45.25/45.45 (assume @p2508 (forall @t1321 (=> (= (tptp.hAPP @t3091 @t3048) @t2202) (= (tptp.hAPP @t3091 @t1255) @t2202)))) % 45.25/45.45 (assume @p2509 (forall @t2333 (=> @t550 (= (tptp.hAPP @t3094 @t1258) (tptp.hAPP (tptp.hAPP @t1154 @t1258) (tptp.c_Groups_Osgn__class_Osgn @t35 @t1258)))))) % 45.25/45.45 (assume @p2510 (forall @t39 (=> @t550 (= (tptp.hAPP (tptp.hAPP @t1154 @t2096) @t3122) @t34)))) % 45.25/45.45 (assume @p2511 (forall (@list @t3123) (not (= @t3061 (tptp.c_Code__Numeral_OSuc__code__numeral @t3123))))) % 45.25/45.45 (assume @p2512 (forall (@list @t3124) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t3124) @t3061)))) % 45.25/45.45 (assume @p2513 (forall @t71 (=> @t550 (=> @t1886 (= (tptp.hAPP (tptp.hAPP @t1154 (tptp.hAPP @t3094 @t66)) @t34) (tptp.hAPP @t3094 @t1883)))))) % 45.25/45.45 (assume @p2514 (forall @t225 (=> (tptp.class_Rings_Oordered__ring__abs @t35) (=> (and (or @t1770 @t1765) (or @t1774 @t1764)) @t3104)))) % 45.25/45.45 (assume @p2515 (forall @t225 (=> @t3097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t3096) @t3108))))) % 45.25/45.45 (assume @p2516 (forall @t1211 (=> @t3097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.hAPP @t3094 (tptp.hAPP @t1222 @t1351))) (tptp.hAPP (tptp.hAPP @t1161 (tptp.hAPP @t3094 (tptp.hAPP @t716 @t84))) (tptp.hAPP @t3094 (tptp.hAPP @t714 @t368)))))))) % 45.25/45.45 (assume @p2517 (forall @t331 (=> @t3097 (=> @t1765 @t3125)))) % 45.25/45.45 (assume @p2518 (forall @t331 (=> @t3097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 (tptp.hAPP @t214 @t3098)) @t1707))))) % 45.25/45.45 (assume @p2519 (forall @t331 (=> @t3097 @t3126))) % 45.25/45.45 (assume @p2520 (forall @t331 (=> (tptp.class_Groups_Oabs__if @t35) (and @t3126 (=> (not @t1809) @t3116))))) % 45.25/45.45 (assume @p2521 (forall @t2148 (=> @t550 (tptp.hBOOL (tptp.hAPP @t1759 @t3106))))) % 45.25/45.45 (assume @p2522 (forall @t79 (=> @t2018 (=> @t2030 (= (tptp.hAPP (tptp.hAPP @t1978 @t3122) @t66) (tptp.hAPP @t3094 @t2027)))))) % 45.25/45.45 (assume @p2523 (forall @t216 (=> @t3127 (= (tptp.hAPP @t3094 @t3017) @t1597)))) % 45.25/45.45 (assume @p2524 (forall @t2390 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t3091 @t348)) @t2202)) @t3083))) % 45.25/45.45 (assume @p2525 (forall @t2352 (and (=> @t3129 (= @t3128 (tptp.hAPP @t2235 @t1274))) (=> (not @t3129) (= @t3128 @t1274))))) % 45.25/45.45 (assume @p2526 (forall @t2396 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3091 @t2232)) (tptp.hAPP (tptp.hAPP @t1264 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3091 @t2032))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3091 @t72)))))) % 45.25/45.45 (assume @p2527 (forall @t3088 (= (tptp.hAPP @t3089 @t3087) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3089 @t3086)) @t1701)))) % 45.25/45.45 (assume @p2528 (forall @t2450 (tptp.hBOOL (tptp.hAPP @t2398 (tptp.hAPP (tptp.hAPP @t2162 @t3130) @t1254))))) % 45.25/45.45 (assume @p2529 (forall @t39 (=> @t3127 (and (=> @t3133 (= @t3132 (tptp.hAPP @t214 @t3131))) (=> (not @t3133) (= @t3132 @t3131)))))) % 45.25/45.45 (assume @p2530 (forall @t2170 (=> @t3127 (= (tptp.hAPP @t3094 (tptp.hAPP @t3018 @t1254)) @t1597)))) % 45.25/45.45 (assume @p2531 (forall @t2181 (= (tptp.hBOOL (tptp.hAPP @t2209 (tptp.hAPP (tptp.hAPP @t2162 (tptp.hAPP @t3091 @t49)) @t445))) (or (not (= @t49 @t2207)) @t1733)))) % 45.25/45.45 (assume @p2532 (forall @t1380 (= (tptp.hAPP (tptp.hAPP @t3069 (tptp.c_Code__Numeral_OSuc__code__numeral @t1254)) @t3068) @t1254))) % 45.25/45.45 (assume @p2533 (forall @t331 (=> @t550 (= (tptp.hAPP @t3094 @t2913) @t2913)))) % 45.25/45.45 (assume @p2534 (forall @t331 (=> @t550 (= (tptp.hAPP @t3105 @t2872) @t2913)))) % 45.25/45.45 (assume @p2535 (forall (@list @t34 @t72 @t368) (=> @t3093 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t72) (tptp.hAPP @t2380 @t3092)))))) % 45.25/45.45 (assume @p2536 (forall @t1473 (= (tptp.c_Nitpick_Oint__lcm @t34 @t66) (tptp.hAPP @t2754 (tptp.c_Nitpick_Onat__lcm @t3135 @t3134))))) % 45.25/45.45 (assume @p2537 (forall @t3139 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t3138 @t3136 @t3114) @t3137))) % 45.25/45.45 (assume @p2538 (forall (@list @t160 @t2 @t445) (=> (forall @t1970 (=> @t3146 @t3144)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1756) @t160)) (=> @t3142 (exists @t1970 (and @t3141 @t3140))))))) % 45.25/45.45 (assume @p2539 (forall @t3147 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t3138 @t3136 @t3061) @t3138))) % 45.25/45.45 (assume @p2540 (forall @t1473 (= (tptp.c_Nitpick_Onat__lcm @t34 @t66) (tptp.hAPP (tptp.hAPP @t2669 @t2820) @t3148)))) % 45.25/45.45 (assume @p2541 (forall (@list @t66 @t1254 @t34) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t34 @t1254) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t66 @t1254)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t66) @t34)) (exists @t2743 (= @t34 (tptp.hAPP @t1317 (tptp.hAPP @t1303 @t2742)))))))) % 45.25/45.45 (assume @p2542 (forall (@list @t749 @t58 @t1072) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3145 @t1072)) (=> @t1968 (tptp.hBOOL (tptp.hAPP @t58 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3149 @t1072)))))) (=> (tptp.hBOOL (tptp.hAPP @t58 @t749)) (=> (tptp.hBOOL (tptp.hAPP @t1404 @t1072)) @t1896))))) % 45.25/45.45 (assume @p2543 (forall (@list @t160 @t2 @t445 @t402) (=> (forall @t1970 (=> (and @t3150 @t3146) @t3144)) (=> @t1345 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t647) @t160)) (=> @t3142 (exists @t1970 (and @t3150 @t3141 @t3140)))))))) % 45.25/45.45 (assume @p2544 (forall @t2506 (and (=> @t3151 (= @t3148 @t34)) (=> (not @t3151) (= @t3148 (tptp.c_Nitpick_Onat__gcd @t66 @t3034)))))) % 45.25/45.45 (assume @p2545 (forall @t1473 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t34) @t66) (tptp.hAPP @t2754 (tptp.c_Nitpick_Onat__gcd @t3135 @t3134))))) % 45.25/45.45 (assume @p2546 (forall (@list @t1274 @t87) (and (=> @t3157 (= @t3153 @t3068)) (=> (not @t3157) (= @t3153 (tptp.hAPP (tptp.hAPP @t3152 @t3068) (tptp.c_Random_Olog @t87 (tptp.hAPP (tptp.hAPP @t3058 @t1274) @t87)))))))) % 45.25/45.45 (assume @p2547 (forall @t225 (=> @t2560 (= @t83 @t2988)))) % 45.25/45.45 (assume @p2548 (forall @t71 (=> @t2019 (=> (forall (@list @t3158) (=> (tptp.hBOOL (tptp.hAPP @t1798 @t3158)) (tptp.hBOOL (tptp.hAPP @t37 (tptp.hAPP @t1230 @t3158))))) @t69)))) % 45.25/45.45 (assume @p2549 (forall (@list @t1829 @t1331 @t1258) (and (=> @t3160 (= @t3159 (tptp.hAPP (tptp.hAPP @t3069 (tptp.hAPP (tptp.hAPP @t3152 @t1829) @t1258)) @t1331))) (=> @t3161 (= @t3159 (tptp.hAPP (tptp.hAPP @t3069 @t1258) @t1331)))))) % 45.25/45.45 (assume @p2550 (forall (@list @t1258 @t1905) (and (=> @t3163 (= @t3162 @t3068)) (=> (not @t3163) (= @t3162 (tptp.hAPP (tptp.hAPP @t3152 @t1258) @t3068)))))) % 45.25/45.45 (assume @p2551 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t3069)) % 45.25/45.45 (assume @p2552 (forall @t1383 (= @t3164 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t1254) @t1255)))) % 45.25/45.45 (assume @p2553 (forall (@list @t171 @t153 @t3165 @t3166 @t40 @t10) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t10 @t40 @t3166 @t3165 @t3168) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3167 (tptp.hAPP @t3165 @t171))) @t1701)))) % 45.25/45.45 (assume @p2554 (forall @t3172 (= (tptp.hAPP @t2865 (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) @t3170) (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 @t3171 tptp.tc_Nat_Onat) @t2165) @t2754)) @t170))) @t1867)) (tptp.hAPP (tptp.hAPP @t2165 @t2801) (tptp.hAPP @t3170 (tptp.hAPP @t3170 (tptp.hAPP (tptp.hAPP @t2165 (tptp.hAPP @t2754 @t3169)) @t170))))))) % 45.25/45.45 (assume @p2555 (forall @t2340 (=> @t3180 (and (=> @t3177 (= @t3175 (tptp.hAPP @t3179 @t3176))) (=> (not @t3177) (= @t3175 (tptp.hAPP @t3174 (tptp.c_Divides_OnegDivAlg @t2202 @t3173)))))))) % 45.25/45.45 (assume @p2556 (forall (@list @t348 @t1 @t761 @t40 @t25 @t10 @t1118) (=> (tptp.class_Groups_Oab__semigroup__mult @t1118) (=> @t675 (=> (tptp.c_Fun_Oinj__on @t10 @t40 @t761 @t25) (= (tptp.hAPP (tptp.hAPP @t3185 @t348) (tptp.hAPP @t762 @t25)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3183 (tptp.hAPP @t3181 @t761)) @t348) @t25))))))) % 45.25/45.45 (assume @p2557 (forall (@list @t1118 @t40 @t174 @t171 @t24 @t25 @t153 @t10) (=> @t852 (=> @t3192 @t3189)))) % 45.25/45.45 (assume @p2558 (forall @t3198 (=> @t3197 (=> @t852 @t3193)))) % 45.25/45.45 (assume @p2559 (forall @t3198 (=> @t3197 (=> (not @t3193) @t897)))) % 45.25/45.45 (assume @p2560 (forall @t3201 (=> @t3200 (=> @t852 @t3192)))) % 45.25/45.45 (assume @p2561 (forall @t3201 (=> @t3200 (=> (not @t3192) @t897)))) % 45.25/45.45 (assume @p2562 (forall @t3209 (=> @t3208 (=> (not @t3204) (not @t3203))))) % 45.25/45.45 (assume @p2563 (forall @t3209 (=> @t3208 (=> @t3203 @t3204)))) % 45.25/45.45 (assume @p2564 (forall (@list @t25 @t40 @t3210 @t10) (=> (exists @t7 (and @t3214 @t3213)) (tptp.hBOOL (tptp.hAPP @t763 @t3211))))) % 45.25/45.45 (assume @p2565 (forall @t3216 (=> @t852 (=> @t3215 (tptp.hBOOL (tptp.hAPP @t905 @t779)))))) % 45.25/45.45 (assume @p2566 (forall (@list @t40 @t171 @t24 @t25 @t153 @t10) (=> @t852 (=> @t3193 @t3217)))) % 45.25/45.45 (assume @p2567 (forall @t575 (=> @t3111 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t3109 @t3221)) @t3220))))) % 45.25/45.45 (assume @p2568 (forall @t575 (=> @t3111 (tptp.hBOOL (tptp.hAPP @t1773 @t3220))))) % 45.25/45.45 (assume @p2569 (forall @t575 (=> (and @t1664 @t1946) (= (tptp.hAPP @t3079 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t40 tptp.tc_Int_Oint) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1662 @t3222) @t25))))) % 45.25/45.45 (assume @p2570 (forall @t575 (=> @t1946 (= (tptp.hAPP @t3079 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t40 tptp.tc_Int_Oint) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1834 @t3222) @t25))))) % 45.25/45.45 (assume @p2571 (forall @t3225 (=> @t1132 (= (tptp.hAPP (tptp.hAPP @t1834 @t3224) @t25) @t1704)))) % 45.25/45.45 (assume @p2572 (forall @t575 (=> @t2682 (= (tptp.hAPP @t2771 (tptp.hAPP (tptp.hAPP @t3227 @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1834 @t3226) @t25))))) % 45.25/45.45 (assume @p2573 (forall @t3230 (=> @t1132 (= (tptp.hAPP @t1074 (tptp.hAPP @t1680 @t1604)) (tptp.hAPP @t3229 @t1077))))) % 45.25/45.45 (assume @p2574 (forall @t3234 (= @t1090 (tptp.hAPP tptp.c_Int_Onat @t3233)))) % 45.25/45.45 (assume @p2575 (forall (@list @t1 @t2 @t1118 @t10 @t40) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1118 @t10 @t40) @t2) @t1)) @t615) (tptp.hAPP @t3236 (tptp.hAPP @t3235 @t615))))) % 45.25/45.45 (assume @p2576 (forall (@list @t1118 @t2 @t40 @t10) (=> @t684 (tptp.c_Fun_Oinj__on @t10 @t3237 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 @t3237 @t10) (tptp.c_COMBK @t40 @t1118)) @t2) @t143)))) % 45.25/45.45 (assume @p2577 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3238 @t3241) @t49)) (tptp.hBOOL (tptp.hAPP @t865 (tptp.hAPP @t3238 @t2919)))))) % 45.25/45.45 (assume @p2578 (forall @t3254 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3199 @t143) @t3253) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3248 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3244) @t143) @t2919)))))) % 45.25/45.45 (assume @p2579 (forall @t3254 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3188 @t143) @t3253) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3248 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3244) @t143) @t2919)))))) % 45.25/45.45 (assume @p2580 (= (tptp.hAPP @t3255 @t1584) @t1349)) % 45.25/45.45 (assume @p2581 (= (tptp.hAPP @t3255 @t1285) @t1349)) % 45.25/45.45 (assume @p2582 (forall (@list @t24 @t10 @t40) (= (tptp.hAPP (tptp.hAPP @t3205 @t573) @t24) @t143))) % 45.25/45.45 (assume @p2583 (forall @t3259 (and (=> @t151 (= @t3258 @t615)) (=> @t678 (= @t3258 @t174))))) % 45.25/45.45 (assume @p2584 (forall @t3261 (= (= @t3207 @t143) @t3260))) % 45.25/45.45 (assume @p2585 (forall @t1953 (= (= @t143 @t3207) @t3260))) % 45.25/45.45 (assume @p2586 (= (tptp.hAPP @t3255 @t1288) @t1349)) % 45.25/45.45 (assume @p2587 (forall @t1024 (=> @t2108 @t3263))) % 45.25/45.45 (assume @p2588 (forall @t144 (tptp.c_Fun_Oinj__on @t10 @t27 @t3265 @t143))) % 45.25/45.45 (assume @p2589 (forall @t3268 (=> @t3267 (= (tptp.hAPP @t778 @t3266) (tptp.hAPP @t581 @t779))))) % 45.25/45.45 (assume @p2590 (forall @t3259 (and (=> @t151 (= @t3270 @t573)) (=> @t678 @t3271)))) % 45.25/45.45 (assume @p2591 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3272 @t3241) @t49)) (tptp.hBOOL (tptp.hAPP @t865 (tptp.hAPP @t3272 @t2919)))))) % 45.25/45.45 (assume @p2592 (forall (@list @t2 @t1118 @t1 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t673 (tptp.hAPP @t1558 @t615))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1118) (tptp.hAPP (tptp.c_Set_Oimage @t40 @t1118 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t1118 @t40) @t2) @t1)) @t615)))))) % 45.25/45.45 (assume @p2593 (forall @t3276 (=> @t3275 (= (tptp.hAPP (tptp.hAPP @t606 @t3274) @t3273) @t3273)))) % 45.25/45.45 (assume @p2594 (forall @t3282 (and (=> @t3280 (= @t3279 @t615)) (=> @t3281 (= @t3279 @t3278))))) % 45.25/45.45 (assume @p2595 (forall @t3282 (and (=> @t3280 (= @t3289 @t615)) (=> @t3281 (= @t3289 @t3284))))) % 45.25/45.45 (assume @p2596 (forall @t3294 (and (=> @t3280 (= @t3293 @t573)) (=> @t3281 (= @t3293 @t3292))))) % 45.25/45.45 (assume @p2597 (forall @t53 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t27) @t25) @t3265) @t25))) % 45.25/45.45 (assume @p2598 (forall @t3294 (and (=> @t3280 (= @t3292 @t3295)) (=> @t3281 (= @t3292 @t3293))))) % 45.25/45.45 (assume @p2599 (forall @t3300 (=> @t1463 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t1457 @t3299) @t25) (tptp.hAPP @t1505 (tptp.hAPP (tptp.hAPP @t1457 @t761) @t25))))))) % 45.25/45.45 (assume @p2600 (forall @t3282 (and (=> @t3280 (= @t3304 @t24)) (=> @t3281 (= @t3304 @t3303))))) % 45.25/45.45 (assume @p2601 (forall @t3282 (and (=> @t3280 (= @t3306 @t25)) (=> @t3281 (= @t3306 @t3305))))) % 45.25/45.45 (assume @p2602 (forall @t3282 (and (=> @t3280 (= @t3303 @t573)) (=> @t3281 (= @t3303 @t3304))))) % 45.25/45.45 (assume @p2603 (forall @t3282 (and (=> @t3280 (= @t3305 @t573)) (=> @t3281 (= @t3305 @t3306))))) % 45.25/45.45 (assume @p2604 (forall @t3308 (= (tptp.hAPP (tptp.hAPP @t892 @t3307) @t24) (tptp.hAPP (tptp.hAPP @t239 @t3190) @t894)))) % 45.25/45.45 (assume @p2605 (forall (@list @t24 @t62 @t40 @t153 @t10) (= @t3313 @t3311))) % 45.25/45.45 (assume @p2606 (forall (@list @t24 @t153 @t62 @t10 @t40) (= @t3311 @t3313))) % 45.25/45.45 (assume @p2607 (forall @t3315 (=> @t135 (=> @t678 (= (tptp.hAPP @t133 @t3314) @t753))))) % 45.25/45.45 (assume @p2608 (forall @t1953 (= (= @t142 @t894) @t3316))) % 45.25/45.45 (assume @p2609 (forall (@list @t25 @t10 @t40) (= (tptp.hAPP @t893 (tptp.hAPP @t3317 @t142)) @t142))) % 45.25/45.45 (assume @p2610 (forall @t3259 (and (=> @t151 (= @t3318 @t573)) (=> @t678 (= @t3318 @t174))))) % 45.25/45.45 (assume @p2611 (forall @t3261 (= (= @t894 @t142) @t3316))) % 45.25/45.45 (assume @p2612 (forall @t3315 (=> @t135 (=> @t678 (= (tptp.hAPP @t138 @t3314) @t753))))) % 45.25/45.45 (assume @p2613 (forall @t3323 (= (= @t3168 (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t40 @t3320 @t3319)) @t3322))) % 45.25/45.45 (assume @p2614 (forall @t1953 (= (tptp.hAPP @t184 @t3207) (tptp.hAPP @t893 @t3324)))) % 45.25/45.45 (assume @p2615 (forall @t1953 (= (tptp.hAPP @t184 @t894) (tptp.hAPP @t3206 @t3324)))) % 45.25/45.45 (assume @p2616 (forall @t575 (=> @t699 (= (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t3218 @t218) @t2)) @t25) (tptp.hAPP @t218 @t3221))))) % 45.25/45.45 (assume @p2617 (forall @t687 (= @t1988 (tptp.c_Finite__Set_Ofold @t40 @t10 @t3327)))) % 45.25/45.45 (assume @p2618 (forall @t3329 (=> @t2048 (= (tptp.hAPP (tptp.hAPP @t1991 @t3221) @t2919) (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t3328 (tptp.hAPP (tptp.hAPP @t3326 @t1991) @t2)) @t2919)) @t25))))) % 45.25/45.45 (assume @p2619 (forall @t3261 (= @t3336 @t3331))) % 45.25/45.45 (assume @p2620 (forall @t3261 (= @t3331 @t3336))) % 45.25/45.45 (assume @p2621 (forall @t3345 (=> @t1132 (= @t3344 (tptp.hAPP (tptp.hAPP @t3339 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1118 @t569 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t146 (tptp.tc_fun @t569 @t10) @t1118) @t1834) @t3338)) @t25)) @t24))))) % 45.25/45.45 (assume @p2622 (forall @t3349 (=> @t155 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t3340) @t25) @t2) @t49) (tptp.hAPP @t3348 @t3346))))) % 45.25/45.45 (assume @p2623 (forall (@list @t3353 @t3354 @t1118 @t10 @t40 @t3350 @t3351 @t3352 @t49 @t1 @t2) (=> (= @t826 (tptp.hAPP @t3352 (tptp.hAPP @t3351 @t3350))) (= @t3356 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t10 @t3353 @t3352) @t3351) @t3350))))) % 45.25/45.45 (assume @p2624 (forall @t3360 (=> (= @t3359 @t174) @t3358))) % 45.25/45.45 (assume @p2625 (forall (@list @t49 @t2 @t174 @t1118 @t10 @t40) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t10 @t1118 @t3361) @t2) @t49) @t174))) % 45.25/45.45 (assume @p2626 (forall @t3365 (=> @t155 (= (tptp.hAPP @t3348 (tptp.hAPP (tptp.hAPP @t3364 @t3363) @t2)) (tptp.hAPP @t3363 (tptp.hAPP (tptp.hAPP @t3362 @t3348) @t3338)))))) % 45.25/45.45 (assume @p2627 (forall @t3372 (= (tptp.hAPP @t3206 (tptp.hAPP (tptp.hAPP @t3371 (tptp.hAPP (tptp.hAPP @t3370 @t3368) @t24)) @t62)) (tptp.hAPP (tptp.hAPP @t3368 @t3367) @t62)))) % 45.25/45.45 (assume @p2628 (forall @t3372 (= (tptp.hAPP @t893 (tptp.hAPP (tptp.hAPP @t3371 (tptp.hAPP (tptp.hAPP @t3370 @t3373) @t24)) @t62)) (tptp.hAPP (tptp.hAPP @t3373 @t3367) @t62)))) % 45.25/45.45 (assume @p2629 (forall @t3378 (= (tptp.hAPP (tptp.hAPP @t3205 @t3377) @t62) (tptp.hAPP @t3376 (tptp.hAPP (tptp.hAPP @t3375 (tptp.hAPP (tptp.hAPP @t3374 @t3205) @t24)) @t62))))) % 45.25/45.45 (assume @p2630 (forall @t3378 (= (tptp.hAPP (tptp.hAPP @t892 @t3377) @t62) (tptp.hAPP @t3379 (tptp.hAPP (tptp.hAPP @t3375 (tptp.hAPP (tptp.hAPP @t3374 @t892) @t24)) @t62))))) % 45.25/45.45 (assume @p2631 (forall @t3382 (= @t3217 (exists @t7 (and @t205 @t3381))))) % 45.25/45.45 (assume @p2632 (forall @t981 (= @t3385 (tptp.hAPP (tptp.hAPP @t3384 @t525) @t3383)))) % 45.25/45.45 (assume @p2633 (forall @t3261 (= @t3387 @t3386))) % 45.25/45.45 (assume @p2634 (forall @t3261 (= @t3386 @t3387))) % 45.25/45.45 (assume @p2635 (forall @t3349 (=> @t155 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t40 @t3340) @t25) @t2) @t49) (tptp.hAPP @t3389 @t3346))))) % 45.25/45.45 (assume @p2636 (forall @t3365 (=> @t155 (= (tptp.hAPP @t3389 (tptp.hAPP (tptp.hAPP @t3364 @t3390) @t2)) (tptp.hAPP @t3390 (tptp.hAPP (tptp.hAPP @t3362 @t3389) @t3338)))))) % 45.25/45.45 (assume @p2637 (forall @t981 (= @t1051 (tptp.hAPP (tptp.hAPP @t3391 @t525) @t3383)))) % 45.25/45.45 (assume @p2638 (forall @t1953 (= (tptp.hAPP @t156 @t3207) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t40 @t111) @t25) @t3392)))) % 45.25/45.45 (assume @p2639 (forall (@list @t170 @t174 @t3354 @t171 @t153 @t10 @t40 @t1118) (=> @t3394 (forall (@list @t3393) (= (tptp.hAPP @t153 (tptp.hAPP @t171 @t3393)) (tptp.hAPP @t174 (tptp.hAPP @t170 @t3393))))))) % 45.25/45.45 (assume @p2640 (forall (@list @t2107 @t170 @t174 @t3354 @t171 @t153 @t10 @t40 @t1118) (=> @t3394 (= @t3357 (tptp.hAPP @t174 (tptp.hAPP @t170 @t2107)))))) % 45.25/45.45 (assume @p2641 (forall (@list @t49 @t1 @t2 @t1118 @t10 @t40) (= @t3356 @t826))) % 45.25/45.45 (assume @p2642 (forall (@list @t761 @t1 @t3354 @t2 @t10 @t40 @t1118) (= (tptp.hAPP @t3396 (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t1118 @t10 @t1) @t761)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t40 @t10 @t3395) @t761)))) % 45.25/45.45 (assume @p2643 (forall (@list @t171 @t2 @t40 @t10 @t153 @t49) (and (=> @t3398 (= @t3397 @t171)) (=> (not @t3398) (= @t3397 @t51))))) % 45.25/45.45 (assume @p2644 (forall @t3400 (=> @t1519 (tptp.c_Finite__Set_Ofun__left__comm @t1118 @t40 @t3399)))) % 45.25/45.45 (assume @p2645 (forall @t3400 (=> @t2108 (tptp.c_Finite__Set_Ofun__left__comm__idem @t1118 @t40 @t3399)))) % 45.25/45.45 (assume @p2646 (forall @t3404 (=> @t1664 (= (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t3403 @t3402) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t1111 @t3401) (tptp.hAPP @t1663 @t25)))))) % 45.25/45.45 (assume @p2647 (forall (@list @t25 @t2 @t40 @t2919 @t10) (=> @t3406 (= (tptp.hAPP @t3405 @t3221) (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t3218 @t3405) @t2)) @t25))))) % 45.25/45.45 (assume @p2648 (forall @t3329 (=> @t3406 (= (tptp.hAPP @t3408 @t2919) (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP @t3407 @t2919)) @t25))))) % 45.25/45.45 (assume @p2649 (forall (@list @t24 @t1 @t1118 @t25 @t2 @t40 @t10) (=> @t3406 (= (tptp.hAPP @t3408 (tptp.hAPP (tptp.hAPP @t3339 @t1) @t24)) (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t3343 (tptp.hAPP @t3342 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t3340 @t3340) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3325 (tptp.tc_fun @t3340 @t3340) @t40) (tptp.c_COMBB @t10 @t10 @t1118)) @t3402)) @t1))) @t24)) @t25))))) % 45.25/45.45 (assume @p2650 (forall (@list @t99 @t49 @t1 @t2 @t10 @t40 @t1118) (= (tptp.hAPP @t3396 (tptp.c_Fun_Ofun__upd @t10 @t1118 @t1 @t49 @t99)) (tptp.c_Fun_Ofun__upd @t10 @t40 @t3409 @t49 @t113)))) % 45.25/45.45 (assume @p2651 (forall @t712 (=> @t1519 (= @t3411 @t3410)))) % 45.25/45.45 (assume @p2652 (forall @t3268 (=> @t3267 (= (tptp.hAPP @t3195 @t3266) (tptp.hAPP @t581 @t3196))))) % 45.25/45.45 (assume @p2653 (forall @t3420 (= @t3419 (tptp.hBOOL (tptp.hAPP @t3417 @t3412))))) % 45.25/45.45 (assume @p2654 (forall @t195 (= (tptp.hBOOL (tptp.hAPP @t142 @t49)) (tptp.hBOOL (tptp.hAPP @t842 @t142))))) % 45.25/45.45 (assume @p2655 (forall @t3425 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t239 @t3424) @t3423) @t49)) (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP (tptp.hAPP @t239 @t3421) @t525)))))) % 45.25/45.45 (assume @p2656 (forall @t3425 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t246 @t3424) @t3423) @t49)) (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP (tptp.hAPP @t246 @t3421) @t525)))))) % 45.25/45.45 (assume @p2657 (forall @t3276 (=> @t3275 (= (tptp.hAPP (tptp.hAPP @t610 @t3274) @t3211) @t3211)))) % 45.25/45.45 (assume @p2658 (forall @t3427 (= (tptp.hBOOL (tptp.hAPP @t863 @t894)) (exists @t7 (and @t891 @t3426))))) % 45.25/45.45 (assume @p2659 (forall @t3427 (= @t3208 (forall @t7 (=> @t891 @t3426))))) % 45.25/45.45 (assume @p2660 (forall @t3429 (= (= @t3424 @t3423) @t3428))) % 45.25/45.45 (assume @p2661 (forall @t3436 (= (= @t3435 @t3434) @t3428))) % 45.25/45.45 (assume @p2662 (forall @t3439 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3438 @t3435) @t3434) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3417 (tptp.hAPP (tptp.hAPP @t3437 @t3421) @t525)))))) % 45.25/45.45 (assume @p2663 (forall @t3439 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3441 @t3435) @t3434) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3417 (tptp.hAPP (tptp.hAPP @t3440 @t3421) @t525)))))) % 45.25/45.45 (assume @p2664 (forall @t33 (= (tptp.hAPP @t250 @t166) (tptp.hAPP (tptp.hAPP @t3391 @t24) @t250)))) % 45.25/45.45 (assume @p2665 (forall @t53 (tptp.c_Fun_Oinj__on @t10 @t10 @t3442 @t25))) % 45.25/45.45 (assume @p2666 (forall @t3450 (= (tptp.hAPP @t3443 @t3449) (tptp.hAPP (tptp.hAPP @t246 @t3444) (tptp.hAPP @t3443 @t24))))) % 45.25/45.45 (assume @p2667 (forall @t3458 (= (tptp.hAPP (tptp.hAPP @t239 @t3444) (tptp.hAPP @t3456 @t24)) (tptp.hAPP @t3443 (tptp.hAPP (tptp.hAPP @t3457 @t3456) (tptp.hAPP (tptp.hAPP @t3454 (tptp.hAPP @t3453 @t3451)) @t24)))))) % 45.25/45.45 (assume @p2668 (forall @t3462 (= @t3461 @t3460))) % 45.25/45.45 (assume @p2669 (forall @t3463 (= (tptp.hAPP @t270 @t3444) (tptp.hAPP @t3443 (tptp.hAPP (tptp.hAPP @t3309 @t270) @t25))))) % 45.25/45.45 (assume @p2670 (forall @t3466 (= @t3465 @t3464))) % 45.25/45.45 (assume @p2671 (forall @t3467 (= @t3460 @t3461))) % 45.25/45.45 (assume @p2672 (forall @t3467 (= @t3464 @t3465))) % 45.25/45.45 (assume @p2673 (forall @t33 (= (tptp.hAPP @t255 @t211) (tptp.hAPP @t3468 @t255)))) % 45.25/45.45 (assume @p2674 (forall @t169 (= (tptp.hAPP (tptp.hAPP @t246 @t211) @t25) (tptp.hAPP @t3468 (tptp.hAPP (tptp.hAPP @t3469 @t246) @t25))))) % 45.25/45.45 (assume @p2675 (forall @t3467 (= @t3472 @t3471))) % 45.25/45.45 (assume @p2676 (forall @t3467 (= @t3475 @t3474))) % 45.25/45.45 (assume @p2677 (forall @t3466 (= @t3471 @t3472))) % 45.25/45.45 (assume @p2678 (forall @t3463 (= (tptp.hAPP @t268 @t3477) (tptp.hAPP @t3476 (tptp.hAPP (tptp.hAPP @t3309 @t268) @t25))))) % 45.25/45.45 (assume @p2679 (forall @t3462 (= @t3474 @t3475))) % 45.25/45.45 (assume @p2680 (forall @t3458 (= (tptp.hAPP (tptp.hAPP @t246 @t3477) (tptp.hAPP @t3478 @t24)) (tptp.hAPP @t3476 (tptp.hAPP (tptp.hAPP @t3457 @t3478) (tptp.hAPP (tptp.hAPP @t3454 (tptp.hAPP @t3453 @t3447)) @t24)))))) % 45.25/45.45 (assume @p2681 (forall @t3450 (= (tptp.hAPP @t3476 @t3479) (tptp.hAPP (tptp.hAPP @t239 @t3477) (tptp.hAPP @t3476 @t24))))) % 45.25/45.45 (assume @p2682 (forall @t3481 (= (tptp.hAPP (tptp.hAPP @t892 @t608) @t753) (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP @t893 @t753)) (tptp.hAPP @t3480 @t753))))) % 45.25/45.45 (assume @p2683 (forall @t3481 (= (tptp.hAPP (tptp.hAPP @t3205 @t608) @t753) (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP @t3206 @t753)) (tptp.hAPP (tptp.hAPP @t3205 @t24) @t753))))) % 45.25/45.45 (assume @p2684 (forall (@list @t25 @t2 @t3352 @t1118 @t40 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t40 @t10 @t3352) @t2) @t25) (tptp.c_Fun_Oinj__on @t10 @t1118 @t2 @t25)))) % 45.25/45.45 (assume @p2685 (forall @t3282 (and (=> @t3280 (= @t3278 @t25)) (=> @t3281 (= @t3278 @t3279))))) % 45.25/45.45 (assume @p2686 (forall @t3282 (and (=> @t3280 (= @t3284 @t24)) (=> @t3281 (= @t3284 @t3289))))) % 45.25/45.45 (assume @p2687 (forall @t3308 (= (tptp.hAPP (tptp.hAPP @t3205 @t3307) @t24) (tptp.hAPP (tptp.hAPP @t246 @t3190) @t3207)))) % 45.25/45.45 (assume @p2688 (forall @t912 (and @t914 @t911))) % 45.25/45.45 (assume @p2689 (forall @t3234 (= (tptp.hAPP @t2754 @t3484) @t3483))) % 45.25/45.45 (assume @p2690 (forall @t3234 (= (tptp.hAPP @t2754 @t1090) @t3233))) % 45.25/45.45 (assume @p2691 (forall @t3488 (= (tptp.hAPP @t893 @t3487) (tptp.hAPP @t3486 @t24)))) % 45.25/45.45 (assume @p2692 (forall (@list @t24 @t25 @t1118 @t2 @t10 @t40) (= (tptp.hAPP @t568 @t3377) (tptp.hAPP @t3379 (tptp.hAPP (tptp.hAPP @t3489 @t568) @t24))))) % 45.25/45.45 (assume @p2693 (forall @t3492 (= (tptp.hAPP (tptp.hAPP @t892 @t3491) @t24) (tptp.hAPP @t3379 @t3490)))) % 45.25/45.45 (assume @p2694 (forall @t3493 (= (tptp.hAPP @t568 (tptp.c_Complete__Lattice_OSup__class_OSup @t569 @t525)) (tptp.hAPP (tptp.hAPP @t3334 @t525) @t568)))) % 45.25/45.45 (assume @p2695 (forall (@list @t25 @t1 @t1118 @t2 @t10 @t40) (= (tptp.hAPP @t568 (tptp.hAPP @t3495 @t25)) (tptp.hAPP (tptp.c_Set_Oimage @t1118 @t10 (tptp.hAPP (tptp.hAPP @t3494 @t2) @t1)) @t25)))) % 45.25/45.45 (assume @p2696 (forall @t3497 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t10 @t3442) @t3496) @t3496))) % 45.25/45.45 (assume @p2697 (forall @t3488 (= (tptp.hAPP @t3206 @t3487) (tptp.hAPP (tptp.hAPP @t3368 @t3485) @t24)))) % 45.25/45.45 (assume @p2698 (forall @t3492 (= (tptp.hAPP (tptp.hAPP @t3205 @t3491) @t24) (tptp.hAPP @t3376 @t3490)))) % 45.25/45.45 (assume @p2699 (forall (@list @t2919 @t1 @t2 @t1118 @t10 @t40) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t10 @t40 @t2) @t1)) @t2919) (tptp.hAPP @t3236 (tptp.hAPP @t3235 @t2919))))) % 45.25/45.45 (assume @p2700 (forall @t3261 (= @t3207 @t3500))) % 45.25/45.45 (assume @p2701 (forall @t3501 (= @t3500 @t3207))) % 45.25/45.45 (assume @p2702 (forall @t1105 (=> (tptp.class_Fields_Ofield__inverse__zero @t40) (=> @t675 (= (tptp.hAPP (tptp.hAPP @t1457 (tptp.hAPP (tptp.hAPP @t3298 (tptp.hAPP (tptp.hAPP @t3297 @t1956) @t2)) @t1)) @t25) (tptp.hAPP @t1957 @t1462)))))) % 45.25/45.45 (assume @p2703 (forall @t3234 (=> @t3507 (= (tptp.hAPP (tptp.hAPP @t3506 @t2) @t25) (tptp.hAPP (tptp.hAPP @t3505 @t3504) @t2762))))) % 45.25/45.45 (assume @p2704 (forall @t3230 (=> @t1132 (= (tptp.hAPP @t1074 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1602 @t1604)) (tptp.hAPP @t3229 @t1673))))) % 45.25/45.45 (assume @p2705 (forall @t53 (= (tptp.hAPP @t3509 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3511 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 (tptp.tc_fun @t3511 @t27) tptp.tc_Nat_Onat) @t3508) @t1755)) @t25)) @t3510))) % 45.25/45.45 (assume @p2706 (forall @t53 (= @t1529 (tptp.hAPP (tptp.hAPP @t1087 @t3512) @t25)))) % 45.25/45.45 (assume @p2707 (forall @t3404 (=> @t699 (= (tptp.hAPP (tptp.hAPP @t1834 @t3514) @t25) (tptp.hAPP (tptp.hAPP @t695 @t3221) @t3513))))) % 45.25/45.45 (assume @p2708 (forall @t3225 (=> @t1664 (= (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP @t3223 @t1586)) @t25) @t1586)))) % 45.25/45.45 (assume @p2709 (forall @t3467 (= @t3516 @t3515))) % 45.25/45.45 (assume @p2710 (forall @t3467 (= @t3518 @t3517))) % 45.25/45.45 (assume @p2711 (forall @t3466 (= @t3515 @t3516))) % 45.25/45.45 (assume @p2712 (forall @t3462 (= @t3517 @t3518))) % 45.25/45.45 (assume @p2713 (forall @t3282 (and (=> @t3280 (= @t3520 @t25)) (=> @t3281 (= @t3520 @t3519))))) % 45.25/45.45 (assume @p2714 (forall @t3282 (and (=> @t3280 (= @t3523 (tptp.hAPP (tptp.hAPP @t700 @t615) @t24))) (=> @t3281 (= @t3523 @t3522))))) % 45.25/45.45 (assume @p2715 (forall @t3282 (and (=> @t3280 (= @t3522 @t615)) (=> @t3281 (= @t3522 @t3523))))) % 45.25/45.45 (assume @p2716 (forall @t3501 (= @t3524 @t894))) % 45.25/45.45 (assume @p2717 (forall @t3261 (= @t894 @t3524))) % 45.25/45.45 (assume @p2718 (forall @t575 (=> @t3111 (= (tptp.hAPP @t3109 @t3220) @t3220)))) % 45.25/45.45 (assume @p2719 (forall @t575 (=> @t2023 (= (tptp.hAPP @t3109 @t3401) (tptp.hAPP (tptp.hAPP @t1662 @t3219) @t25))))) % 45.25/45.45 (assume @p2720 (forall @t3529 (=> @t1132 (= (tptp.hAPP @t1074 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1298 @t1296)) (tptp.hAPP @t3528 @t1673))))) % 45.25/45.45 (assume @p2721 (forall @t3463 (= (tptp.hBOOL (tptp.hAPP @t29 @t3444)) (forall @t7 (=> @t3530 (tptp.hBOOL (tptp.hAPP @t29 @t3212))))))) % 45.25/45.45 (assume @p2722 (forall @t3531 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t3477) @t24)) (forall @t7 (=> @t3530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t3212) @t24))))))) % 45.25/45.45 (assume @p2723 (forall (@list @t753 @t25 @t40 @t236 @t10) (=> @t155 (= (tptp.hBOOL (tptp.hAPP @t3533 (tptp.hAPP @t3389 @t753))) (forall @t7 (=> @t891 (tptp.hBOOL (tptp.hAPP @t3533 @t3532)))))))) % 45.25/45.45 (assume @p2724 (forall (@list @t236 @t753 @t25 @t40 @t10) (=> @t155 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t3348 @t753)) @t236)) (forall @t7 (=> @t891 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t3532) @t236)))))))) % 45.25/45.45 (assume @p2725 (forall @t3534 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t3196) @t3190))))) % 45.25/45.45 (assume @p2726 (forall @t3429 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t3424) @t3423)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t3421) @t525))))) % 45.25/45.45 (assume @p2727 (forall @t3436 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3536 @t3435) @t3434)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3535 @t3421) @t525))))) % 45.25/45.45 (assume @p2728 (forall (@list @t830 @t160) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3527 @t830))) % 45.25/45.45 (assume @p2729 (forall @t3404 (=> @t1132 (= (tptp.hAPP (tptp.hAPP @t1834 @t3537) @t25) (tptp.hAPP (tptp.hAPP @t1130 @t3221) @t3513))))) % 45.25/45.45 (assume @p2730 (forall @t1735 (= @t1469 @t1616))) % 45.25/45.45 (assume @p2731 (forall @t3534 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t3190) @t779))))) % 45.25/45.45 (assume @p2732 (forall @t3300 (=> @t1104 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t1059 (tptp.hAPP (tptp.hAPP @t3298 (tptp.hAPP (tptp.hAPP @t3297 @t1106) @t1)) @t761)) @t25) (tptp.hAPP @t1236 (tptp.hAPP (tptp.hAPP @t1059 @t761) @t25))))))) % 45.25/45.45 (assume @p2733 (forall @t3540 (=> @t135 (=> @t3539 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 (tptp.hAPP @t138 @t753)) @t3538)))))) % 45.25/45.45 (assume @p2734 (forall @t3540 (=> @t135 (=> @t3539 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t3538) (tptp.hAPP @t133 @t753))))))) % 45.25/45.45 (assume @p2735 (forall (@list @t153 @t2 @t25 @t40 @t10) (=> @t527 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 (tptp.hAPP @t3389 @t2)) @t153)) (exists @t7 (and @t891 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t5) @t153)))))))) % 45.25/45.45 (assume @p2736 (forall (@list @t2 @t25 @t40 @t153 @t10) (=> @t527 (= (tptp.hBOOL (tptp.hAPP @t515 (tptp.hAPP @t3348 @t2))) (exists @t7 (and @t891 (tptp.hBOOL (tptp.hAPP @t515 @t5)))))))) % 45.25/45.45 (assume @p2737 (forall @t3529 (=> @t1132 (= (tptp.hAPP @t1074 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1298) @t1296)) (tptp.hAPP @t3528 @t1077))))) % 45.25/45.45 (assume @p2738 (forall @t2810 (= @t3546 (tptp.hAPP @t3545 @t3543)))) % 45.25/45.45 (assume @p2739 (forall @t3467 (= (tptp.hAPP @t3310 @t3449) (tptp.hAPP (tptp.hAPP @t246 (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t3548)) (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t3547))))) % 45.25/45.45 (assume @p2740 (forall (@list @t160 @t753 @t445 @t10) (= (tptp.hAPP @t3549 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t27 tptp.tc_Nat_Onat) @t753) @t3527)) (tptp.hAPP (tptp.hAPP @t3508 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t160 @t1296)) @t753)))) % 45.25/45.45 (assume @p2741 (forall @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t111) @t25) @t3392)) (tptp.hAPP @t156 @t894))))) % 45.25/45.45 (assume @p2742 (forall @t575 (=> (and @t1664 @t2682) (= (tptp.hAPP @t2771 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t40 tptp.tc_Nat_Onat) @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1662 @t3226) @t25))))) % 45.25/45.45 (assume @p2743 (forall @t3234 (= @t3484 (tptp.hAPP tptp.c_Int_Onat @t3483)))) % 45.25/45.45 (assume @p2744 (forall @t3551 (= (tptp.hAPP @t3550 @t1148) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1401) @t1146)))) % 45.25/45.45 (assume @p2745 (forall @t3551 (= (tptp.hAPP @t3550 @t1641) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1401 @t1146)))) % 45.25/45.45 (assume @p2746 (forall @t3561 (=> @t1104 (=> @t979 (and (=> @t3558 (= @t3557 @t3560)) (=> @t3559 (= @t3557 @t1837))))))) % 45.25/45.45 (assume @p2747 (forall @t3561 (=> @t1104 (=> @t979 (and (=> @t3558 (= @t3566 @t3560)) (=> @t3559 (= @t3566 @t1837))))))) % 45.25/45.45 (assume @p2748 (forall (@list @t174 @t40 @t25 @t49 @t10) (=> @t843 @t3271))) % 45.25/45.45 (assume @p2749 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1149) @t1349) @t1581) @t1588)) % 45.25/45.45 (assume @p2750 (forall @t3561 (=> @t1463 (=> @t979 (and (=> @t3558 (= @t3567 @t3560)) (=> @t3559 (= @t3567 @t1667))))))) % 45.25/45.45 (assume @p2751 (forall @t3561 (=> @t1463 (=> @t979 (and (=> @t3558 (= @t3568 @t3560)) (=> @t3559 (= @t3568 @t1667))))))) % 45.25/45.45 (assume @p2752 (forall @t577 (= @t571 (tptp.hAPP @t893 (tptp.hAPP (tptp.hAPP @t3459 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3445 @t40) @t440) @t2)) @t142))))) % 45.25/45.45 (assume @p2753 (forall @t3282 (and (=> @t3280 (= @t3519 @t615)) (=> @t3281 (= @t3519 @t3520))))) % 45.25/45.45 (assume @p2754 (forall (@list @t25 @t99 @t40 @t10) (=> @t2682 (= (tptp.hAPP (tptp.hAPP @t1834 (tptp.hAPP @t3223 @t99)) @t25) (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP @t2771 @t1549)) @t99))))) % 45.25/45.45 (assume @p2755 (forall (@list @t1432 @t348 @t10) (=> @t2241 (= (tptp.hAPP @t3571 @t3546) (tptp.hAPP @t3573 @t3570))))) % 45.25/45.45 (assume @p2756 (forall @t3300 (=> @t1463 (=> @t675 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1959 @t3299) @t1667) @t25) (tptp.hAPP @t1963 (tptp.hAPP (tptp.hAPP @t2118 @t1667) @t25))))))) % 45.25/45.45 (assume @p2757 (forall @t144 (=> @t116 (= (tptp.c_Orderings_Oord_Omax @t10 @t3574) @t627)))) % 45.25/45.45 (assume @p2758 (forall @t144 (=> @t116 (= (tptp.c_Orderings_Oord_Omin @t10 @t3574) @t551)))) % 45.25/45.45 (assume @p2759 (forall (@list @t99 @t25 @t10 @t40) (=> @t1463 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t1457 (tptp.hAPP @t3269 @t99)) @t25) (tptp.hAPP (tptp.hAPP @t3575 @t99) @t1529)))))) % 45.25/45.45 (assume @p2760 (forall @t136 (=> @t135 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t623 @t24) @t134) (tptp.hAPP (tptp.hAPP @t3576 @t24) @t25)))))) % 45.25/45.45 (assume @p2761 (forall @t136 (=> @t135 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t658 @t24) @t139) (tptp.hAPP (tptp.hAPP @t3577 @t24) @t25)))))) % 45.25/45.45 (assume @p2762 (forall @t2367 (= (tptp.hAPP @t3580 @t3546) (tptp.hAPP @t3581 (tptp.hAPP (tptp.hAPP @t3579 @t2165) @t3578))))) % 45.25/45.45 (assume @p2763 (forall (@list @t1 @t1118 @t2 @t10 @t40) (=> @t617 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t1118 @t1) @t143) @t3582) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t1118 (tptp.hAPP @t3583 @t2)) @t615) @t3582))))) % 45.25/45.45 (assume @p2764 (forall @t3584 (=> @t1132 (= (tptp.hAPP @t1074 @t1868) (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1074 @t1867)) @t646))))) % 45.25/45.45 (assume @p2765 (forall (@list @t2 @t1 @t1118 @t25 @t10 @t40) (= (tptp.hAPP @t893 (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t27 @t40 @t1) @t2)) (tptp.hAPP @t3486 @t1)))) % 45.25/45.45 (assume @p2766 (forall @t3400 (=> @t684 (=> (tptp.c_Fun_Oinj__on @t1118 @t10 @t1 @t3582) (tptp.c_Fun_Oinj__on @t1118 @t40 @t3585 @t3582))))) % 45.25/45.45 (assume @p2767 (forall (@list @t3352 @t1118 @t25 @t2 @t40 @t10) (=> @t691 (= (tptp.c_Fun_Oinj__on @t40 @t1118 @t3352 @t602) (tptp.c_Fun_Oinj__on @t10 @t1118 @t3586 @t25))))) % 45.25/45.45 (assume @p2768 (forall (@list @t1 @t1118 @t25 @t2 @t40 @t10) (=> @t691 (=> (tptp.c_Fun_Oinj__on @t40 @t1118 @t1 @t602) (tptp.c_Fun_Oinj__on @t10 @t1118 @t3587 @t25))))) % 45.25/45.45 (assume @p2769 (forall (@list @t25 @t2 @t1 @t1118 @t40 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t40 @t3589 @t25) (tptp.c_Fun_Oinj__on @t1118 @t40 @t1 (tptp.hAPP @t3588 @t25))))) % 45.25/45.45 (assume @p2770 (forall @t3584 (=> @t1132 (= (tptp.hAPP @t1074 (tptp.hAPP @t1288 @t1604)) (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t1074 @t1870)) @t1913))))) % 45.25/45.45 (assume @p2771 (forall @t3234 (=> @t3507 (= (tptp.hAPP @t1074 @t25) (tptp.hAPP (tptp.hAPP @t3590 @t3504) @t2762))))) % 45.25/45.45 (assume @p2772 (forall @t3467 (= (tptp.hAPP @t3470 @t3479) (tptp.hAPP (tptp.hAPP @t239 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t3548)) (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t3547))))) % 45.25/45.45 (assume @p2773 (forall @t1129 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t3591 @t2227) @t159)) (tptp.hAPP @t2385 @t2710)) @t2441))) % 45.25/45.45 (assume @p2774 (forall @t774 (=> @t3507 (=> @t2942 (= @t3593 (tptp.hAPP (tptp.hAPP @t3506 @t3592) @t2939)))))) % 45.25/45.45 (assume @p2775 (forall @t533 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t10 @t3594) @t49)) (tptp.hBOOL (tptp.hAPP @t974 @t158))))) % 45.25/45.45 (assume @p2776 (forall @t3597 (=> @t1104 (=> @t675 (= @t1243 @t3596))))) % 45.25/45.45 (assume @p2777 (forall @t1548 (=> @t675 (= @t602 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t569 @t10 @t606) (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 @t3285 @t10) @t580) @t2)) @t573)) @t573) @t25))))) % 45.25/45.45 (assume @p2778 (forall @t2279 (=> @t2241 (= (tptp.hAPP @t3598 @t3546) (tptp.hAPP @t3599 @t3570))))) % 45.25/45.45 (assume @p2779 (forall @t1671 (=> @t135 (=> @t675 (= @t134 (tptp.hAPP (tptp.hAPP @t3576 (tptp.c_Orderings_Obot__class_Obot @t40)) @t25)))))) % 45.25/45.45 (assume @p2780 (forall @t53 (and @t3600 @t1856))) % 45.25/45.45 (assume @p2781 (forall @t53 @t3600)) % 45.25/45.45 (assume @p2782 (forall @t144 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t27 @t3601))) % 45.25/45.45 (assume @p2783 (forall @t1671 (=> @t135 (=> @t675 (= @t139 (tptp.hAPP (tptp.hAPP @t3577 (tptp.c_Orderings_Otop__class_Otop @t40)) @t25)))))) % 45.25/45.45 (assume @p2784 (forall (@list @t348 @t2689) (and (=> @t3609 (= @t3608 @t2691)) (=> (not @t3609) (= @t3608 (tptp.hAPP (tptp.hAPP @t3607 (tptp.hAPP @t2405 @t2689)) @t3606)))))) % 45.25/45.45 (assume @p2785 (forall @t2877 (=> @t3074 (=> (tptp.hBOOL (tptp.hAPP @t2209 @t1331)) (= (tptp.c_Divides_OnegDivAlg @t1258 @t1331) @t3610))))) % 45.25/45.45 (assume @p2786 (forall @t2547 (= (tptp.c_Divides_OnegDivAlg @t3036 @t87) (tptp.hAPP @t3179 @t3054)))) % 45.25/45.45 (assume @p2787 (forall (@list @t753 @t445 @t10) (= (tptp.hAPP @t3549 @t753) (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP (tptp.hAPP @t3508 @t3611) @t753)) (tptp.hAPP @t753 @t1700))))) % 45.25/45.45 (assume @p2788 (forall @t774 (=> @t3507 (=> @t2942 (= @t3613 (tptp.hAPP (tptp.hAPP @t1073 @t3592) @t2939)))))) % 45.25/45.45 (assume @p2789 (forall (@list @t2919 @t2741 @t171) (= (tptp.hAPP @t3622 @t3621) (tptp.hAPP (tptp.hAPP @t3620 (tptp.hAPP (tptp.hAPP @t2219 @t2919) @t171)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3615 @t3615) (tptp.hAPP (tptp.hAPP @t3619 (tptp.hAPP @t3618 @t2398)) (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2227 @t3614) @t2202)))) (tptp.hAPP (tptp.hAPP @t3178 @t3614) @t2919)))))) % 45.25/45.45 (assume @p2790 (forall (@list @t58 @t445 @t402 @t10) (=> @t1132 (=> @t1084 (= (tptp.hAPP @t3623 @t1673) (tptp.hAPP (tptp.hAPP @t1130 (tptp.hAPP @t58 @t402)) (tptp.hAPP @t3623 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t402 @t445)))))))) % 45.25/45.45 (assume @p2791 (forall @t33 (=> @t675 (= @t725 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t27 @t3601) @t24) @t25))))) % 45.25/45.45 (assume @p2792 (forall @t3626 (=> @t1124 (=> @t710 (= (tptp.hAPP @t1121 @t601) (tptp.hAPP @t3625 @t24)))))) % 45.25/45.45 (assume @p2793 (forall @t3638 (= (= @t2517 @t1604) @t3637))) % 45.25/45.45 (assume @p2794 (forall @t3639 (= (= @t1604 @t2517) @t3637))) % 45.25/45.45 (assume @p2795 (forall @t3626 (=> @t3643 (=> @t710 (= (tptp.hAPP @t3642 @t601) (tptp.hAPP (tptp.hAPP @t3640 @t3624) @t24)))))) % 45.25/45.45 (assume @p2796 (forall @t1125 (=> @t3643 (=> @t691 (=> @t1123 (=> (= @t1 @t3624) @t3644)))))) % 45.25/45.45 (assume @p2797 (forall @t2810 (and (=> @t2826 (= @t3647 @t1700)) (=> (not @t2826) (= @t3647 (tptp.hAPP @t3545 (tptp.hAPP @t3646 @t3543))))))) % 45.25/45.45 (assume @p2798 (forall (@list @t445 @t49 @t10) (=> @t2048 (=> (not @t1587) (= (tptp.hAPP (tptp.hAPP @t1073 @t2923) @t1869) (tptp.hAPP (tptp.hAPP @t1991 (tptp.hAPP (tptp.hAPP @t695 (tptp.hAPP @t2923 @t445)) @t1586)) (tptp.hAPP (tptp.hAPP @t695 @t49) @t1586))))))) % 45.25/45.45 (assume @p2799 (forall @t446 (=> @t3650 (= (tptp.hAPP @t3649 (tptp.hAPP (tptp.hAPP @t1073 @t2771) @t3611)) (tptp.hAPP @t3648 (tptp.hAPP (tptp.hAPP @t1130 @t2772) @t1586)))))) % 45.25/45.45 (assume @p2800 (forall @t1682 (=> @t699 (and (=> @t1084 (= @t3652 (tptp.hAPP (tptp.hAPP @t695 @t647) (tptp.hAPP @t2 @t1685)))) (=> @t1618 (= @t3652 @t1704)))))) % 45.25/45.45 (assume @p2801 (forall @t3638 (= (tptp.hBOOL (tptp.hAPP @t2620 @t1604)) (tptp.hBOOL (tptp.hAPP @t3636 (tptp.hAPP @t3633 (tptp.hAPP (tptp.hAPP @t3628 (tptp.hAPP (tptp.hAPP @t3627 @t1323) tptp.c_Int_Onat)) @t445))))))) % 45.25/45.45 (assume @p2802 (forall @t3639 (= (tptp.hBOOL (tptp.hAPP @t1915 @t2517)) (tptp.hBOOL (tptp.hAPP @t3636 (tptp.hAPP @t3635 (tptp.hAPP @t3633 (tptp.hAPP (tptp.hAPP @t3653 @t1469) tptp.c_Int_Onat)))))))) % 45.25/45.45 (assume @p2803 (forall @t3638 (= (tptp.hBOOL (tptp.hAPP @t2621 @t1604)) (tptp.hBOOL (tptp.hAPP @t3636 (tptp.hAPP @t3633 (tptp.hAPP (tptp.hAPP @t3628 (tptp.hAPP (tptp.hAPP @t3627 @t1080) tptp.c_Int_Onat)) @t445))))))) % 45.25/45.45 (assume @p2804 (forall @t3639 (= (tptp.hBOOL (tptp.hAPP @t1616 @t2517)) (tptp.hBOOL (tptp.hAPP @t3636 (tptp.hAPP @t3635 (tptp.hAPP @t3633 (tptp.hAPP (tptp.hAPP @t3653 @t1081) tptp.c_Int_Onat)))))))) % 45.25/45.45 (assume @p2805 (forall @t3639 (= (tptp.hAPP @t3659 @t2517) (tptp.hAPP @t3658 (tptp.hAPP @t3657 (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3655 @t3654) tptp.c_Int_Onat))))))) % 45.25/45.45 (assume @p2806 (forall @t3638 (= (tptp.hAPP (tptp.hAPP @t1414 @t2517) @t1604) (tptp.hAPP @t3658 (tptp.hAPP @t3657 (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3660 @t1414) tptp.c_Int_Onat)) @t445))))))) % 45.25/45.45 (assume @p2807 (forall @t3082 (=> @t2241 (and (=> @t3663 (= @t3662 (tptp.hAPP @t3573 (tptp.hAPP (tptp.hAPP @t3569 (tptp.hAPP @t3666 @t1508)) @t3442)))) (=> @t3664 (= @t3662 @t1586)))))) % 45.25/45.45 (assume @p2808 (forall (@list @t174 @t171 @t153 @t525 @t10 @t40) (=> @t1463 (=> @t979 (and (=> @t3558 (= @t3669 (tptp.hAPP (tptp.hAPP @t1459 @t3560) (tptp.hAPP @t3668 (tptp.hAPP (tptp.hAPP @t1091 @t3667) @t1569))))) (=> @t3559 (= @t3669 (tptp.hAPP @t3668 @t3667)))))))) % 45.25/45.45 (assume @p2809 (forall (@list @t49 @t99 @t174) (and (=> @t3672 (= @t3671 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t2860 @t174)) (tptp.hAPP (tptp.hAPP @t1091 @t99) @t174)))) (=> (not @t3672) (and (=> @t2189 (= @t3671 @t1754)) (=> (not @t2189) (= @t3671 @t1588))))))) % 45.25/45.45 (assume @p2810 (forall @t3676 (=> @t1104 (=> @t675 (=> @t3675 (= (tptp.hAPP @t1102 @t3674) (tptp.hAPP (tptp.hAPP @t1059 @t3673) @t25))))))) % 45.25/45.45 (assume @p2811 (forall @t2395 (and (=> @t3663 (= @t3677 (tptp.hAPP @t3581 (tptp.hAPP (tptp.hAPP @t3579 (tptp.hAPP (tptp.hAPP @t3678 @t2165) (tptp.hAPP @t2165 @t348))) @t3578)))) (=> @t3664 (= @t3677 @t2202))))) % 45.25/45.45 (assume @p2812 (forall @t3676 (=> @t1463 (=> @t675 (=> @t3675 (= (tptp.hAPP @t1458 @t3674) (tptp.hAPP (tptp.hAPP @t1457 @t3673) @t25))))))) % 45.25/45.45 (assume @p2813 (forall (@list @t445 @t170 @t153 @t10) (=> @t3650 (= (tptp.hAPP @t3649 (tptp.hAPP (tptp.hAPP @t1073 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t10 tptp.tc_Nat_Onat) @t1171) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t3651 @t1111) @t2771)) @t170))) @t1867)) (tptp.hAPP @t3648 (tptp.hAPP @t1171 (tptp.hAPP @t1171 (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP @t2771 @t3169)) @t170)))))))) % 45.25/45.45 (assume @p2814 (forall @t2554 (and (=> @t3684 @t3685) (=> (not @t3684) @t3681)))) % 45.25/45.45 (assume @p2815 (forall @t3639 (= (tptp.hAPP @t3687 @t2517) (tptp.hAPP @t3658 (tptp.hAPP @t3605 (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3655 @t3686) tptp.c_Int_Onat))))))) % 45.25/45.45 (assume @p2816 (forall @t3638 (= (tptp.hAPP (tptp.hAPP @t1421 @t2517) @t1604) (tptp.hAPP @t3658 (tptp.hAPP @t3605 (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3660 @t1421) tptp.c_Int_Onat)) @t445))))))) % 45.25/45.45 (assume @p2817 (forall @t3172 (= (tptp.hAPP (tptp.hAPP @t1264 @t2113) (tptp.hAPP (tptp.hAPP @t1865 (tptp.hAPP (tptp.hAPP @t3645 @t3688) (tptp.hAPP (tptp.hAPP @t3525 @t1264) @t170))) @t1867)) (tptp.hAPP @t1741 (tptp.hAPP @t3688 (tptp.hAPP @t3688 (tptp.hAPP (tptp.hAPP @t1264 @t3169) @t170))))))) % 45.25/45.45 (assume @p2818 (forall @t3693 (=> @t3692 (=> @t3691 (=> @t3690 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t1118 @t40 @t25 @t3585) @t49) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t1118 @t40 (tptp.c_Fun_Othe__inv__into @t1118 @t10 @t25 @t1)) (tptp.c_Fun_Othe__inv__into @t10 @t40 @t3689 @t2)) @t49))))))) % 45.25/45.45 (assume @p2819 (forall (@list @t2107 @t1432 @t10) (=> @t2241 (and (=> @t3663 (= @t3694 (tptp.hAPP @t3599 (tptp.hAPP (tptp.hAPP @t3569 (tptp.hAPP @t3666 (tptp.hAPP @t1111 @t2277))) @t3442)))) (=> @t3664 (= @t3694 @t1586)))))) % 45.25/45.45 (assume @p2820 (forall @t2977 (=> @t2574 (and (=> @t3683 @t3685) (=> (not @t3683) @t3681))))) % 45.25/45.45 (assume @p2821 (forall @t2337 (=> @t3700 (and (=> @t3699 (= @t3697 (tptp.hAPP @t3179 @t3698))) (=> (not @t3699) (= @t3697 (tptp.hAPP @t3696 (tptp.c_Divides_OnegDivAlg @t2335 @t3695)))))))) % 45.25/45.45 (assume @p2822 (forall (@list @t2107 @t2511) (and (=> @t3702 (= @t3701 @t2517)) (=> (not @t3702) (= @t3701 (tptp.hAPP (tptp.hAPP @t3607 (tptp.hAPP @t2334 (tptp.hAPP (tptp.hAPP @t2227 @t2107) (tptp.hAPP @t2235 @t2511)))) @t3606)))))) % 45.25/45.45 (assume @p2823 (forall @t2571 @t3710)) % 45.25/45.45 (assume @p2824 (forall @t3720 (= (tptp.c_Nat_Onat_Onat__case @t10 @t153 @t2 @t3719) (tptp.hAPP @t3718 (tptp.hAPP (tptp.hAPP @t3716 (tptp.hAPP @t3715 (tptp.c_Nat_Onat_Onat__case @t10 @t153 @t2 @t445))) (tptp.hAPP @t3503 @t3711)))))) % 45.25/45.45 (assume @p2825 (forall @t2340 (=> @t3180 (and (=> @t3722 (= @t3721 @t3708)) (=> (not @t3722) (= @t3721 (tptp.hAPP @t3174 (tptp.c_Divides_OposDivAlg @t2202 @t3173)))))))) % 45.25/45.45 (assume @p2826 (forall @t2554 (and (=> @t3725 @t3726) (=> (not @t3725) @t3724)))) % 45.25/45.45 (assume @p2827 (forall (@list @t40 @t10 @t25 @t99 @t49 @t24) (=> (=> @t3730 @t3728) @t3727))) % 45.25/45.45 (assume @p2828 (forall @t3731 (=> @t3727 (=> (not @t3728) @t3729)))) % 45.25/45.45 (assume @p2829 (forall (@list @t40 @t10 @t24 @t99 @t49 @t25) (=> @t3728 (=> @t3729 @t3732)))) % 45.25/45.45 (assume @p2830 (forall @t3731 (=> @t3732 (not (=> @t3728 @t3730))))) % 45.25/45.45 (assume @p2831 (forall @t3420 (not @t3419))) % 45.25/45.45 (assume @p2832 (forall @t3734 (= @t3189 (exists @t7 (and @t205 @t3733))))) % 45.25/45.45 (assume @p2833 (forall @t3382 (= @t3197 (forall @t7 (=> @t205 @t3381))))) % 45.25/45.45 (assume @p2834 (forall @t3734 (= @t3200 @t3735))) % 45.25/45.45 (assume @p2835 (forall (@list @t99 @t49 @t55 @t58 @t40 @t10) (=> @t3738 (=> @t3737 @t3736)))) % 45.25/45.45 (assume @p2836 (forall (@list @t55 @t40 @t10 @t99 @t49 @t58) (=> @t3737 (=> @t3738 @t3736)))) % 45.25/45.45 (assume @p2837 (forall (@list @t24 @t10 @t25) (=> (= @t25 @t3742) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t25) @t24))))) % 45.25/45.45 (assume @p2838 (forall (@list @t25 @t40 @t10 @t99 @t49 @t24) (=> @t3729 @t3727))) % 45.25/45.45 (assume @p2839 (forall (@list @t24 @t40 @t10 @t99 @t49 @t25) (=> @t3728 @t3727))) % 45.25/45.45 (assume @p2840 (forall @t3731 (=> @t3732 @t3728))) % 45.25/45.45 (assume @p2841 (forall @t3731 (=> @t3732 @t3729))) % 45.25/45.45 (assume @p2842 (forall @t3147 (= (tptp.c_Nat_Onat_Onat__case @t10 @t3138 @t3136 @t1700) @t3138))) % 45.25/45.45 (assume @p2843 (forall @t3744 (= (tptp.c_Nat_Onat_Onat__case @t10 @t3138 @t3136 @t1580) @t3743))) % 45.25/45.45 (assume @p2844 (forall @t2547 (= (tptp.c_Divides_OposDivAlg @t2207 @t87) @t3745))) % 45.25/45.45 (assume @p2845 (forall @t1609 (= (tptp.hAPP @t3659 @t402) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1604 (tptp.hAPP @t3646 @t3654) @t402)))) % 45.25/45.45 (assume @p2846 (forall @t1373 (= (tptp.hAPP (tptp.hAPP @t1414 @t402) @t1604) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1604 (tptp.hAPP @t3646 (tptp.hAPP (tptp.hAPP @t3525 @t1414) @t445)) @t402)))) % 45.25/45.45 (assume @p2847 (forall @t1373 (= @t1660 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t1083 @t445))))) % 45.25/45.45 (assume @p2848 (forall @t1373 (= (tptp.hAPP @t1248 @t1604) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1700 @t3541 @t1863)))) % 45.25/45.45 (assume @p2849 (forall @t1609 (= (tptp.hAPP @t3687 @t402) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1700 (tptp.hAPP @t3646 @t3686) @t402)))) % 45.25/45.45 (assume @p2850 (forall @t1373 (= (tptp.hAPP (tptp.hAPP @t1421 @t402) @t1604) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t1700 (tptp.hAPP @t3646 (tptp.hAPP (tptp.hAPP @t3525 @t1421) @t445)) @t402)))) % 45.25/45.45 (assume @p2851 (forall @t2877 (=> (tptp.hBOOL (tptp.hAPP @t2398 @t1258)) (=> @t2657 (= (tptp.c_Divides_OposDivAlg @t1258 @t1331) @t3610))))) % 45.25/45.45 (assume @p2852 (forall @t3747 (= (tptp.c_Nat_Onat_Onat__case @t10 @t153 @t2 @t2517) (tptp.hAPP @t3718 (tptp.hAPP @t3746 @t3504))))) % 45.25/45.45 (assume @p2853 (forall @t2977 (=> @t2574 (and (=> @t2604 @t3726) (=> (not @t2604) @t3724))))) % 45.25/45.45 (assume @p2854 (forall @t2337 (=> @t3700 (and (=> @t3750 (= @t3748 (tptp.hAPP @t3707 @t2335))) (=> (not @t3750) (= @t3748 (tptp.hAPP @t3696 (tptp.c_Divides_OposDivAlg @t2335 @t3695)))))))) % 45.25/45.45 (assume @p2855 (forall (@list @t99 @t49 @t3421 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t10 @t40 @t3421) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3417 @t3421))))) % 45.25/45.45 (assume @p2856 (forall @t1383 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t1254 @t1255) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t3752) @t3751)))) % 45.25/45.45 (assume @p2857 (forall @t2920 (= (tptp.c_Nitpick_Orefl_H @t10 @t2919) (forall @t7 @t3758)))) % 45.25/45.45 (assume @p2858 (forall (@list @t171) (= @t3622 (tptp.hAPP @t3767 (tptp.hAPP (tptp.hAPP @t3766 (tptp.hAPP @t3765 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3703 @t3764 tptp.tc_Int_Oint) (tptp.hAPP @t3619 (tptp.hAPP @t3618 (tptp.hAPP (tptp.hAPP @t3763 @t2398) @t3759)))) (tptp.hAPP (tptp.hAPP @t3762 (tptp.hAPP @t3761 (tptp.hAPP @t3704 (tptp.hAPP (tptp.hAPP @t3591 (tptp.hAPP @t3760 @t2865)) @t2202)))) @t3759)))) (tptp.hAPP @t3704 @t2865)))))) % 45.25/45.45 (assume @p2859 (forall @t1383 (=> @t1729 (=> @t1387 (= @t3769 (tptp.hAPP (tptp.hAPP @t3768 @t2727) @t3028)))))) % 45.25/45.45 (assume @p2860 (forall @t3720 (= (tptp.hAPP @t3770 @t3719) (tptp.hAPP @t3718 (tptp.hAPP (tptp.hAPP @t3716 (tptp.hAPP @t3715 (tptp.hAPP @t3770 @t445))) (tptp.hAPP (tptp.hAPP @t3716 (tptp.hAPP @t3772 @t3711)) (tptp.hAPP @t3771 @t3711))))))) % 45.25/45.45 (assume @p2861 (forall @t3147 (= (tptp.hAPP @t3773 @t1700) @t3138))) % 45.25/45.45 (assume @p2862 (forall @t3744 (= (tptp.hAPP @t3773 @t1580) (tptp.hAPP @t3743 (tptp.hAPP @t3773 @t1579))))) % 45.25/45.45 (assume @p2863 (forall @t1382 (= (tptp.c_Divides_Odivmod__nat @t1255 @t1700) @t3775))) % 45.25/45.45 (assume @p2864 (forall @t1321 (=> @t1328 (= @t3769 @t3775)))) % 45.25/45.45 (assume @p2865 (forall @t1321 (= @t3769 @t3776))) % 45.25/45.45 (assume @p2866 (forall @t3747 (= (tptp.hAPP @t3770 @t2517) (tptp.hAPP @t3718 (tptp.hAPP @t3746 (tptp.hAPP (tptp.hAPP @t3716 (tptp.hAPP @t3772 tptp.c_Int_Onat)) (tptp.hAPP @t3771 tptp.c_Int_Onat))))))) % 45.25/45.45 (assume @p2867 (forall (@list @t2 @t1118 @t25 @t171 @t153 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3783 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3780 @t3779) (tptp.hAPP (tptp.c_Set_Oimage @t783 @t1118 @t3778) @t25)))))) % 45.25/45.45 (assume @p2868 (forall @t185 (=> @t1946 (and (=> @t2589 (= @t3791 @t1704)) (=> @t3792 (and (=> @t2635 (= @t3791 (tptp.hAPP @t218 (tptp.hAPP @t3079 (tptp.hAPP @t2235 @t160))))) (=> (not @t2635) (= @t3791 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3790 @t3789) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3788 (tptp.tc_fun @t3790 @t3789) tptp.tc_Int_Oint) (tptp.c_COMBB @t3325 @t10 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3788 tptp.tc_Int_Oint) @t3572) @t3079))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3325 @t3325) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3713 (tptp.tc_fun @t3325 @t3325) tptp.tc_Int_Oint) @t3569) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3325 @t3713) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3713 (tptp.tc_fun @t3325 @t3713) tptp.tc_Int_Oint) @t3665) (tptp.hAPP @t3714 @t3787))) @t3784))) (tptp.hAPP (tptp.hAPP @t3785 (tptp.hAPP (tptp.hAPP @t3665 @t1130) @t3784)) @t1586)))) (tptp.c_Divides_Odivmod__int @t160 @t2864)))))))))) % 45.25/45.45 (assume @p2869 (forall @t446 (=> @t2682 (= @t2772 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 (tptp.hAPP (tptp.hAPP @t3785 @t1130) @t1586) @t445 @t1704))))) % 45.25/45.45 (assume @p2870 (forall (@list @t40 @t10 @t171 @t153 @t2) (=> @t3795 @t3794))) % 45.25/45.45 (assume @p2871 (forall (@list @t40 @t10 @t171 @t153 @t3138) (=> (tptp.hBOOL @t3796) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3793 @t3138) @t3782))))) % 45.25/45.45 (assume @p2872 (forall (@list @t1118 @t40 @t171 @t153 @t174 @t348 @t10) (=> (tptp.hBOOL (tptp.hAPP @t903 @t3799)) (tptp.hBOOL (tptp.hAPP @t903 (tptp.hAPP @t3798 @t3797)))))) % 45.25/45.45 (assume @p2873 (forall @t3800 (=> @t3794 @t3795))) % 45.25/45.45 (assume @p2874 (forall (@list @t174 @t171 @t153 @t3421 @t1118 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3801 @t3421) @t3782) @t174)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3421 @t153) @t171) @t174))))) % 45.25/45.45 (assume @p2875 (forall (@list @t749 @t3802 @t10) (=> @t2682 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t3802 @t1700 @t749) @t749)))) % 45.25/45.45 (assume @p2876 (forall (@list @t749 @t445 @t3802 @t10) (=> @t2682 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t3802 @t1604 @t749) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t3802 @t445 (tptp.hAPP @t3802 @t749)))))) % 45.25/45.45 (assume @p2877 (forall (@list @t40 @t10 @t58) (= @t2696 (forall @t3804 (tptp.hBOOL (tptp.hAPP @t58 @t3803)))))) % 45.25/45.45 (assume @p2878 (forall @t3323 (= (= @t3782 @t3805) @t3322))) % 45.25/45.45 (assume @p2879 (forall (@list @t2420 @t2608 @t87 @t83 @t10 @t35) (=> (= @t3807 (tptp.hAPP (tptp.hAPP @t3806 @t2608) @t2420)) (not (=> (= @t83 @t2608) (not (= @t87 @t2420))))))) % 45.25/45.45 (assume @p2880 (forall (@list @t174 @t1118 @t40 @t10 @t2741 @t1072) (=> (= @t1072 @t2741) (= (tptp.hAPP @t3808 @t1072) (tptp.hAPP @t3808 @t2741))))) % 45.25/45.45 (assume @p2881 (forall (@list @t2120 @t2126) (= (tptp.c_Divides_Odivmod__int @t2126 @t2120) (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2538 @t2126) @t2120)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2126 @t2120))))) % 45.25/45.45 (assume @p2882 (forall @t3810 (= (tptp.hAPP (tptp.hAPP @t3809 @t3138) @t3797) @t3796))) % 45.25/45.45 (assume @p2883 (forall @t3812 (= (tptp.hAPP @t3811 @t3797) @t3779))) % 45.25/45.45 (assume @p2884 (forall @t1609 (and (=> @t3816 (= @t3815 (tptp.hAPP @t3774 @t402))) (=> (not @t3816) (= @t3815 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3813) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3814 tptp.tc_Nat_Onat) @t3768) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1863 @t445))))))) % 45.25/45.45 (assume @p2885 (forall @t3818 (= (tptp.hAPP @t3777 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 @t3817 @t10) (tptp.hAPP (tptp.c_COMBB @t783 @t1118 @t40) @t2)) @t3413)) @t2))) % 45.25/45.45 (assume @p2886 (forall @t3225 (tptp.c_Fun_Oinj__on @t783 @t3820 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t3820) @t3821) @t25))) % 45.25/45.45 (assume @p2887 (forall (@list @t1072 @t1 @t3353 @t3354 @t2 @t10 @t1118 @t40) (= (tptp.hAPP @t3811 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3354 @t3353 @t3243) @t1) @t1072)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3354 @t3353 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3353 @t3243) (tptp.tc_fun @t3353 @t10) @t3354) (tptp.hAPP (tptp.c_COMBB @t3243 @t10 @t3353) @t3811)) @t1)) @t1072)))) % 45.25/45.45 (assume @p2888 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3824 (tptp.hAPP (tptp.hAPP @t3823 (tptp.hAPP @t3632 (tptp.hAPP @t3634 @t2209))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3822 @t3822 tptp.tc_Int_Oint) @t3786) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3171 @t3822 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2442 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t2202))))) % 45.25/45.45 (assume @p2889 (forall @t2554 (and (=> @t2599 (and (=> @t3829 (= @t3826 @t3723)) (=> (not @t3829) (and (=> @t2577 (= @t3826 @t3745)) (=> @t2578 (= @t3826 @t3828)))))) (=> (not @t2599) (and (=> @t2574 (= @t3826 @t3680)) (=> @t3827 (= @t3826 @t3825))))))) % 45.25/45.45 (assume @p2890 (forall @t2345 (and @t3838 (=> @t3792 (and @t3837 (=> @t3836 (= @t3834 (tptp.hAPP @t3833 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3616 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t2209 @t159)) @t2544)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t2208 @t159) @t2207)) @t2634))) @t3830) @t3831))))))))) % 45.25/45.45 (assume @p2891 (forall (@list @t99 @t49 @t2 @t10 @t40 @t1118) (= (tptp.hAPP @t3841 @t3840) (tptp.hAPP @t3414 @t113)))) % 45.25/45.45 (assume @p2892 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2235))) % 45.25/45.45 (assume @p2893 (forall @t3842 (= (tptp.hAPP @t3841 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3354 @t1118 @t10 @t1) @t49)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3354 @t40 @t10 @t3395) @t49)))) % 45.25/45.45 (assume @p2894 (forall (@list @t1829 @t2120) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3844) (tptp.hAPP @t3843 (tptp.hAPP @t2235 @t1829))))) % 45.25/45.45 (assume @p2895 (forall @t2877 (= @t3847 (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2538 @t3846) @t3845)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3846 @t3845))))) % 45.25/45.45 (assume @p2896 (forall @t2660 (and (=> @t3848 (= @t3847 (tptp.hAPP @t3707 @t3846))) (=> (not @t3848) (= @t3847 (tptp.c_Divides_OposDivAlg @t3846 @t3845)))))) % 45.25/45.45 (assume @p2897 (forall @t2345 (and @t3838 (=> @t3792 (and @t3837 (=> @t3836 (= @t3834 (tptp.hAPP @t3833 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3616 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t160)) @t3832)) @t3830) @t3831))))))))) % 45.25/45.45 (assume @p2898 (forall @t3852 (=> (tptp.hBOOL (tptp.hAPP @t3851 @t3850)) (=> @t3050 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3042 @t84) (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3041 @t2120)) (tptp.hAPP (tptp.hAPP @t2669 @t3849) @t84))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3849 @t84)))))))) % 45.25/45.45 (assume @p2899 (forall @t3853 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t83 @t87) @t3850)) (=> (tptp.hBOOL (tptp.hAPP @t1703 @t87)) (=> @t3050 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t83 @t2676) (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t2669 @t2120) @t84)) @t3049)))))))) % 45.25/45.45 (assume @p2900 (forall @t3854 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t35 @t10)) (tptp.c_Nitpick_Opair__box_OPairBox @t35 @t10 @t83 @t87)) @t1700))) % 45.25/45.45 (assume @p2901 (forall (@list @t3855 @t3856 @t1254 @t1255) (=> @t3858 (=> (tptp.hBOOL (tptp.hAPP @t3857 @t3855)) (= @t3856 @t3855))))) % 45.25/45.45 (assume @p2902 (forall (@list @t3856 @t1254 @t1255) (=> @t3858 (= @t3769 @t3856)))) % 45.25/45.45 (assume @p2903 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t3857 @t3769)))) % 45.25/45.45 (assume @p2904 (forall @t3860 (=> @t3859 (= @t3020 @t1829)))) % 45.25/45.45 (assume @p2905 (forall @t3860 (=> @t3859 (= @t2672 @t2120)))) % 45.25/45.45 (assume @p2906 (forall @t1321 (tptp.hBOOL (tptp.hAPP @t3857 @t3776)))) % 45.25/45.45 (assume @p2907 (forall @t3866 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t83 @t84) (tptp.hAPP (tptp.hAPP @t3768 @t3865) @t3862))) (=> (tptp.hBOOL (tptp.hAPP @t3851 (tptp.hAPP (tptp.hAPP @t3768 @t3864) @t3861))) (=> @t3050 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3039 @t84) (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1144 @t3865) @t3864)) (tptp.hAPP (tptp.hAPP @t2669 @t3863) @t84))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3863 @t84))))))))) % 45.25/45.45 (assume @p2908 (forall @t3810 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t40 @t1118 @t10 @t3138 @t3867) @t3796))) % 45.25/45.45 (assume @p2909 (forall @t3810 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t40 @t1118 @t10 @t3138 @t3867) @t3796))) % 45.25/45.45 (assume @p2910 (forall @t2596 (=> (tptp.hBOOL (tptp.hAPP @t3874 @t3873)) (and (=> @t3872 (= @t3869 (tptp.hAPP @t3179 @t3871))) (=> (not @t3872) (= @t3869 (tptp.hAPP @t3622 (tptp.c_Divides_OnegDivAlg @t153 @t3868)))))))) % 45.25/45.45 (assume @p2911 (forall @t2596 (=> (tptp.hBOOL (tptp.hAPP @t3877 @t3873)) (and (=> @t3876 (= @t3875 (tptp.hAPP @t3707 @t153))) (=> (not @t3876) (= @t3875 (tptp.hAPP @t3622 (tptp.c_Divides_OposDivAlg @t153 @t3868)))))))) % 45.25/45.45 (assume @p2912 (forall @t2596 (=> (tptp.hBOOL (tptp.hAPP @t3878 @t3873)) @t3710))) % 45.25/45.45 (assume @p2913 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t3874 @t3886)) (=> (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP @t3874 @t3885)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t2398 (tptp.hAPP (tptp.hAPP @t2227 @t1038) @t1926))) @t3884)) @t3883) @t3882))) @t3880)))) % 45.25/45.45 (assume @p2914 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t3877 @t3886)) (=> (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP @t3877 @t3885)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1038) @t1926)) @t3884)) @t3883) @t3882))) @t3880)))) % 45.25/45.45 (assume @p2915 (forall @t3892 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3891 @t3888) @t3889)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Wellfounded_Oaccp @t10 @t3889)) (tptp.c_Wellfounded_Oaccp @t10 @t3888)))))) % 45.25/45.45 (assume @p2916 (forall @t3853 (=> @t3894 (=> @t3012 (=> @t2614 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t83 @t2613) (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2538 @t2120) @t84)) @t3006)))))))) % 45.25/45.45 (assume @p2917 (forall @t2547 (=> @t3012 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2207 @t87) @t3745))))) % 45.25/45.45 (assume @p2918 (forall @t3896 (=> @t3895 (=> @t2578 (= @t1829 @t2207))))) % 45.25/45.45 (assume @p2919 (forall @t3898 (=> @t3894 (=> @t3897 (=> @t3012 (= @t2120 @t2417)))))) % 45.25/45.45 (assume @p2920 (forall @t3898 (=> @t3894 (=> @t3897 (=> @t3012 (= @t1829 @t2423)))))) % 45.25/45.45 (assume @p2921 (forall (@list @t3856 @t87 @t83) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2548 @t2551) @t3856)) (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP tptp.c_Divides_OnegateSnd @t3856)))))) % 45.25/45.45 (assume @p2922 (forall @t2977 (=> @t3012 (tptp.hBOOL (tptp.hAPP @t3893 @t3826))))) % 45.25/45.45 (assume @p2923 (forall (@list @t153 @t171 @t2919 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3899 @t171)) (=> @t3901 @t3900)))) % 45.25/45.45 (assume @p2924 (forall @t3903 (= @t3900 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3902 @t153)) (tptp.hBOOL (tptp.hAPP @t3899 @t3))))))) % 45.25/45.45 (assume @p2925 (forall @t3896 (=> @t3895 (=> @t2578 (= @t2120 @t2202))))) % 45.25/45.45 (assume @p2926 (forall @t3904 (=> @t3894 (=> @t3012 (= @t2955 @t1829))))) % 45.25/45.45 (assume @p2927 (forall @t3904 (=> @t3894 (=> @t3012 (= @t2555 @t2120))))) % 45.25/45.45 (assume @p2928 (forall @t2554 (=> @t2576 (=> @t2574 (tptp.hBOOL (tptp.hAPP @t3893 @t3680)))))) % 45.25/45.45 (assume @p2929 (forall @t2977 (=> @t3012 (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3178 @t2555) @t2955)))))) % 45.25/45.45 (assume @p2930 (forall @t2554 (=> @t2599 (=> @t2574 (tptp.hBOOL (tptp.hAPP @t3893 @t3723)))))) % 45.25/45.45 (assume @p2931 (forall @t3866 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t83 @t84) (tptp.hAPP (tptp.hAPP @t3178 @t3865) @t3862))) (=> (tptp.hBOOL (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t3178 @t3864) @t3861))) (=> @t3906 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2985 @t84) (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2227 @t3865) @t3864)) (tptp.hAPP (tptp.hAPP @t2538 @t3905) @t84))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3905 @t84))))))))) % 45.25/45.45 (assume @p2932 (forall (@list @t2919 @t2741 @t171 @t153) (=> (tptp.hBOOL (tptp.hAPP @t3910 @t3621)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3709 @t171) (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t3908 @t3909) (tptp.hAPP (tptp.hAPP @t2219 @t3909) @t2202))) (tptp.hAPP (tptp.hAPP @t3908 @t2207) (tptp.hAPP (tptp.hAPP @t2219 @t171) @t2919)))))))) % 45.25/45.45 (assume @p2933 (forall @t3904 (=> (= @t83 @t2429) (=> (and (=> @t2574 (and @t2416 @t2425)) (=> @t3827 (and @t2434 @t2435))) @t3894)))) % 45.25/45.45 (assume @p2934 (forall @t3852 (=> (tptp.hBOOL (tptp.hAPP @t3907 @t3844)) (=> @t3906 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2947 @t84) (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP (tptp.hAPP @t2227 @t2411) (tptp.hAPP (tptp.hAPP @t2538 @t3911) @t84))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3911 @t84)))))))) % 45.25/45.45 (assume @p2935 (forall @t2596 (= @t3910 (tptp.hAPP @t3824 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2442 @t2442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3913 @t3914 tptp.tc_Int_Oint) @t3632) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2442 @t3913 tptp.tc_Int_Oint) @t3634) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3171 @t2442 tptp.tc_Int_Oint) (tptp.hAPP @t3763 @t3552)) (tptp.hAPP @t3760 (tptp.hAPP @t2165 @t171)))))) (tptp.hAPP (tptp.hAPP @t3632 (tptp.hAPP @t3634 (tptp.hAPP (tptp.hAPP @t3629 (tptp.hAPP tptp.c_fimplies @t2569)) (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t3786 @t2208) @t171))))) (tptp.hAPP (tptp.hAPP @t3629 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2569))) (tptp.hAPP (tptp.hAPP @t3632 (tptp.hAPP @t3634 @t2572)) (tptp.hAPP (tptp.hAPP @t3786 @t2245) @t2207))))))))) % 45.25/45.45 (assume @p2936 (forall @t2700 (=> (tptp.hBOOL (tptp.hAPP @t3918 @t3917)) (and (=> @t3916 (= @t3915 @t49)) (=> (not @t3916) (= @t3915 (tptp.c_Nitpick_Onat__gcd @t99 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t49 @t99)))))))) % 45.25/45.45 (assume @p2937 (forall @t3921 (= (tptp.c_Nat_Onat_Onat__size @t3920) (tptp.hAPP (tptp.hAPP @t1144 (tptp.c_Nat_Onat_Onat__size @t3919)) @t1701)))) % 45.25/45.45 (assume @p2938 (forall (@list @t24 @t877 @t2 @t40 @t10) (=> @t107 (=> (tptp.c_Orderings_Oorder__class_Omono @t10 @t569 @t2) (tptp.c_Orderings_Oorder__class_Omono @t10 @t569 (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP @t3301 (tptp.hAPP (tptp.hAPP @t3288 (tptp.hAPP @t3301 @t2)) @t877))) @t24)))))) % 45.25/45.45 (assume @p2939 (= (tptp.c_Nat_Onat_Onat__size @t1700) @t1700)) % 45.25/45.45 (assume @p2940 (forall @t774 (=> @t3923 (= (tptp.hAPP (tptp.hAPP @t3482 @t2) @t25) (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t1625 @t3922) @t25)))))) % 45.25/45.45 (assume @p2941 (forall @t2340 (=> @t3927 (= @t3926 (tptp.hAPP @t3925 @t3924))))) % 45.25/45.45 (assume @p2942 (forall (@list @t2 @t99 @t49 @t10) (= (tptp.hBOOL (tptp.hAPP @t3932 @t3930)) @t3928))) % 45.25/45.45 (assume @p2943 (forall @t3936 (= (tptp.hAPP @t3935 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1118 @t10 @t40 @t2) @t49)) (tptp.hAPP @t2 @t3934)))) % 45.25/45.45 (assume @p2944 (forall (@list @t1 @t49 @t2 @t10 @t40 @t1118) (= (= @t3938 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1118 @t40 @t10 @t1) @t49)) (= (tptp.hAPP @t2 @t3937) (tptp.hAPP @t1 @t3937))))) % 45.25/45.45 (assume @p2945 (forall (@list @t87 @t83 @t35 @t10) (= (tptp.hAPP @t3940 (tptp.hAPP (tptp.hAPP @t3939 @t83) @t87)) @t87))) % 45.25/45.45 (assume @p2946 (forall (@list @t83 @t66 @t34 @t35 @t10) (=> (= (tptp.hAPP @t3940 (tptp.hAPP (tptp.hAPP @t3939 @t34) @t66)) @t83) (= @t66 @t83)))) % 45.25/45.45 (assume @p2947 (forall (@list @t1072 @t10 @t40) (= @t3941 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t10 @t10) (tptp.hAPP (tptp.c_COMBK @t3325 @t40) @t3442)) @t1072)))) % 45.25/45.45 (assume @p2948 (forall @t2554 (= @t2955 (tptp.hAPP @t3925 @t3826)))) % 45.25/45.45 (assume @p2949 (forall @t2554 (=> @t2576 (=> @t2574 (= @t2955 (tptp.hAPP @t3925 @t3680)))))) % 45.25/45.45 (assume @p2950 (forall @t2554 (=> @t2413 (=> @t3829 (= @t2955 (tptp.hAPP @t3925 @t3723)))))) % 45.25/45.45 (assume @p2951 (forall @t2340 (=> @t2935 (= @t3926 (tptp.hAPP @t3925 @t3721))))) % 45.25/45.45 (assume @p2952 (forall @t2554 (=> @t2413 (=> @t2602 (= @t2955 (tptp.hAPP @t3925 @t3828)))))) % 45.25/45.45 (assume @p2953 (forall @t2554 (=> @t2576 (=> @t3682 (= @t2955 (tptp.hAPP @t3925 @t3825)))))) % 45.25/45.45 (assume @p2954 (forall @t774 (=> @t3923 (= (tptp.hAPP (tptp.hAPP @t3232 @t2) @t25) (tptp.hAPP @t2754 (tptp.hAPP (tptp.hAPP @t1087 @t3922) @t25)))))) % 45.25/45.45 (assume @p2955 (forall @t3944 (=> @t3943 (=> @t675 (=> @t843 (= @t810 @t3942)))))) % 45.25/45.45 (assume @p2956 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t3878 @t3886)) (=> (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP @t3878 @t3885)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1926) @t2207)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t2235 @t1038)) (tptp.hAPP @t2235 @t1926)))) @t3882))) @t3880)))) % 45.25/45.45 (assume @p2957 (forall (@list @t1 @t49 @t99 @t1118 @t757 @t2 @t40 @t10) (=> @t3943 (= (tptp.hAPP @t3945 @t3947) (tptp.hAPP @t3946 (tptp.hAPP @t3945 @t1)))))) % 45.25/45.45 (assume @p2958 (forall (@list @t49 @t99 @t757 @t2 @t40 @t10) (=> @t3943 (= @t3410 @t3411)))) % 45.25/45.45 (assume @p2959 (forall (@list @t761 @t1 @t3948 @t2 @t1118 @t3354 @t3353 @t757 @t3166 @t40 @t10) (=> (tptp.c_Finite__Set_Ofolding @t10 @t40 @t3166 @t757) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t3353 @t3354 @t1118 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t3353 @t1118 @t1) @t761)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t3354 @t1118 (tptp.hAPP (tptp.c_Fun_Ocomp @t3353 @t3354 @t3948 @t2) @t1)) @t761))))) % 45.25/45.45 (assume @p2960 (forall @t1321 (= @t3020 (tptp.hAPP @t3949 @t3769)))) % 45.25/45.45 (assume @p2961 (forall (@list @t1 @t1118 @t24 @t25 @t757 @t2 @t40 @t10) (=> @t3943 (=> @t675 (=> @t674 (= (tptp.hAPP @t3950 @t3952) (tptp.hAPP @t3951 (tptp.hAPP @t3950 @t1)))))))) % 45.25/45.45 (assume @p2962 (forall @t3955 (=> @t3943 (=> @t675 (=> @t674 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t809) @t810) @t3954)))))) % 45.25/45.45 (assume @p2963 (forall (@list @t1 @t49 @t1118 @t25 @t757 @t2 @t40 @t10) (=> @t3943 (=> @t675 (= (tptp.hAPP @t3946 @t3952) (tptp.hAPP @t3951 @t3947)))))) % 45.25/45.45 (assume @p2964 (forall @t3944 (=> @t3943 (=> @t675 (= (tptp.hAPP @t3262 @t810) @t3956))))) % 45.25/45.45 (assume @p2965 (forall (@list @t3957 @t25 @t757 @t2 @t40 @t10) (=> @t3943 (=> @t675 (= (tptp.hAPP @t810 @t3957) (tptp.hAPP (tptp.hAPP @t1515 @t3957) @t25)))))) % 45.25/45.45 (assume @p2966 (forall @t3944 (=> @t3943 (=> @t675 (=> @t901 @t3958))))) % 45.25/45.45 (assume @p2967 (forall @t3955 (=> @t3943 (=> @t675 (=> @t674 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t40 @t40 @t813) @t812) @t3954)))))) % 45.25/45.45 (assume @p2968 (forall @t3944 (=> @t3943 (=> @t675 (= @t823 @t3942))))) % 45.25/45.45 (assume @p2969 (forall @t3955 (=> @t3943 (=> @t675 (=> @t674 (=> @t385 @t3959)))))) % 45.25/45.45 (assume @p2970 (forall @t2340 (=> @t3927 (= @t3961 (tptp.hAPP @t3960 @t3924))))) % 45.25/45.45 (assume @p2971 (forall @t2390 (= @t2691 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3813 @t1149) @t3965) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1149 @t3964) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3963 (tptp.tc_fun @t1149 @t3964) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1149 @t1149)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3602 @t3963 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3962 tptp.tc_Nat_Onat) @t1589)) @t1091))) @t1588))))))) % 45.25/45.45 (assume @p2972 (forall @t3971 (=> (forall @t1596 (tptp.hBOOL (tptp.hAPP @t3970 @t3968))) (tptp.hBOOL (tptp.hAPP @t3967 @t3966))))) % 45.25/45.45 (assume @p2973 (forall (@list @t40 @t10 @t545 @t3957) (= (= @t3957 @t545) (and (= (tptp.hAPP @t3973 @t3957) (tptp.hAPP @t3973 @t545)) (= (tptp.hAPP @t3972 @t3957) (tptp.hAPP @t3972 @t545)))))) % 45.25/45.45 (assume @p2974 (forall (@list @t2120 @t2126 @t10 @t35) (=> (= @t3977 (tptp.hAPP @t3976 @t2120)) (=> (= @t3975 (tptp.hAPP @t3974 @t2120)) (= @t2126 @t2120))))) % 45.25/45.45 (assume @p2975 (forall @t3978 (= (tptp.hAPP @t3973 @t3938) (tptp.hAPP (tptp.c_Product__Type_Ofst @t10 @t1118) @t49)))) % 45.25/45.45 (assume @p2976 (forall @t3854 (= (tptp.hAPP @t3976 @t3807) @t83))) % 45.25/45.45 (assume @p2977 (forall (@list @t83 @t66 @t34 @t10 @t35) (=> (= (tptp.hAPP @t3976 @t3979) @t83) (= @t34 @t83)))) % 45.25/45.45 (assume @p2978 (forall @t2700 (= (= @t3980 (tptp.hAPP tptp.c_Int_ORep__Integ @t99)) @t100))) % 45.25/45.45 (assume @p2979 (forall (@list @t1072 @t40 @t10) (= @t3981 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t10) @t3223) @t1072)))) % 45.25/45.45 (assume @p2980 (forall (@list @t10 @t35 @t1475) (= @t1475 (tptp.hAPP (tptp.hAPP @t3806 (tptp.hAPP @t3976 @t1475)) (tptp.hAPP @t3974 @t1475))))) % 45.25/45.45 (assume @p2981 (forall (@list @t2126 @t10 @t35) (= (tptp.hAPP (tptp.hAPP @t3806 @t3977) @t3975) @t2126))) % 45.25/45.45 (assume @p2982 (forall (@list @t1072 @t2 @t10 @t1118 @t40) (= (tptp.hAPP @t3811 @t1072) (tptp.hAPP (tptp.hAPP @t2 @t3984) @t3982)))) % 45.25/45.45 (assume @p2983 (forall @t2554 (= @t2555 (tptp.hAPP @t3960 @t3826)))) % 45.25/45.45 (assume @p2984 (forall (@list @t348 @t58 @t10 @t1118 @t40) (= (tptp.hAPP (tptp.hAPP @t3809 @t58) @t348) (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t3983 @t348)) (tptp.hAPP @t3933 @t348))))) % 45.25/45.45 (assume @p2985 (forall (@list @t1 @t2 @t3354 @t1118 @t40 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t783 @t40 @t1118) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3354 @t3817 @t783) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3354 @t783) @t1) @t3973))) @t3972) (tptp.hAPP @t3777 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3354 @t3817 @t10) @t2) @t1))))) % 45.25/45.45 (assume @p2986 (forall (@list @t1072 @t174 @t10 @t1118 @t40) (= (tptp.hAPP (tptp.hAPP @t3809 @t174) @t1072) (tptp.hAPP (tptp.hAPP @t174 @t3984) @t3982)))) % 45.25/45.45 (assume @p2987 (forall (@list @t49 @t1 @t2 @t3354 @t10 @t1118 @t40) (= (tptp.hAPP (tptp.hAPP @t3809 (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t3340 @t40 @t2) @t1)) @t49) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t3983 @t49))) @t3934)))) % 45.25/45.45 (assume @p2988 (forall @t2554 (=> @t2576 (=> @t2574 (= @t2555 (tptp.hAPP @t3960 @t3680)))))) % 45.25/45.45 (assume @p2989 (forall @t2554 (=> @t2413 (=> @t3829 (= @t2555 (tptp.hAPP @t3960 @t3723)))))) % 45.25/45.45 (assume @p2990 (forall @t2340 (=> @t2935 (= @t3961 (tptp.hAPP @t3960 @t3721))))) % 45.25/45.45 (assume @p2991 (forall @t2554 (=> @t2413 (=> @t2602 (= @t2555 (tptp.hAPP @t3960 @t3828)))))) % 45.25/45.45 (assume @p2992 (forall @t2554 (=> @t2576 (=> @t3682 (= @t2555 (tptp.hAPP @t3960 @t3825)))))) % 45.25/45.45 (assume @p2993 (forall (@list @t1072 @t1 @t2 @t40 @t10) (= (tptp.c_Product__Type_Oprod_Oprod__size @t10 @t40 @t2 @t1 @t1072) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t2 @t3981)) (tptp.hAPP @t1 (tptp.hAPP @t3972 @t1072)))) @t1701)))) % 45.25/45.45 (assume @p2994 (forall (@list @t10 @t40 @t49 @t99 @t58) (=> (tptp.hBOOL (tptp.hAPP @t3988 @t49)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t3935 @t3986)) (tptp.hAPP @t3987 @t3986)))))) % 45.25/45.45 (assume @p2995 (forall (@list @t40 @t10 @t2741 @t55 @t1072 @t58) (=> (tptp.hBOOL (tptp.hAPP @t58 @t1072)) (=> (tptp.hBOOL (tptp.hAPP @t55 @t2741)) (and (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t3973 @t3989))) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t3972 @t3989)))))))) % 45.25/45.45 (assume @p2996 (forall @t1321 (= @t2672 (tptp.hAPP @t3990 @t3769)))) % 45.25/45.45 (assume @p2997 (forall (@list @t3991 @t445 @t402) (= (tptp.hBOOL (tptp.hAPP @t3994 @t3991)) (and (= @t402 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP (tptp.hAPP @t1264 @t3993) @t445)) @t3992)) (=> @t1733 (= @t3993 @t1700)) (=> @t1734 (and (=> @t1732 (and (tptp.hBOOL (tptp.hAPP @t1702 @t3992)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t3992) @t445)))) (=> (not @t1732) (and (tptp.hBOOL (tptp.hAPP @t1469 @t3992)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t3992) @t1700)))))))))) % 45.25/45.45 (assume @p2998 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t3918 (tptp.hAPP (tptp.hAPP @t3768 @t3879) @t2103))) (=> (forall @t633 (=> (tptp.hBOOL (tptp.hAPP @t3918 @t3996)) (=> (=> (not (= @t630 @t1700)) (tptp.hBOOL (tptp.hAPP @t3995 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t630)))) (tptp.hBOOL (tptp.hAPP @t286 @t630))))) @t3880)))) % 45.25/45.45 (assume @p2999 (forall (@list @t1476 @t1258) (=> (tptp.hBOOL (tptp.hAPP @t3998 @t1258)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3154 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t3997) (tptp.hAPP (tptp.c_Random_Orange @t1258) @t1476))) @t1258))))) % 45.25/45.45 (assume @p3000 (forall @t4003 (=> @t4002 (=> @t4001 @t4000)))) % 45.25/45.45 (assume @p3001 (forall @t4003 (=> @t3928 @t4000))) % 45.25/45.45 (assume @p3002 (forall @t3493 (=> @t531 (=> @t625 (=> (exists @t7 (and @t526 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 @t525)) @t4005)))) (= (tptp.c_Orderings_Oord__class_OLeast @t40 (tptp.hAPP @t3239 @t4004)) (tptp.hAPP @t2 (tptp.c_Orderings_Oord__class_OLeast @t10 @t3423)))))))) % 45.25/45.45 (assume @p3003 (forall (@list @t1 @t761 @t25 @t757 @t348 @t2 @t40 @t10) (=> @t4006 (=> @t801 (=> (tptp.c_Fun_Oinj__on @t40 @t40 @t761 @t25) (= (tptp.hAPP @t2082 (tptp.hAPP (tptp.c_Set_Oimage @t40 @t40 @t761) @t25)) (tptp.hAPP (tptp.hAPP @t757 (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t10 @t40 @t1) @t761)) @t25))))))) % 45.25/45.45 (assume @p3004 (forall @t3921 (= (tptp.hAPP @t4007 @t3920) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t4007 @t3919)) @t1701)))) % 45.25/45.45 (assume @p3005 (forall @t1380 (= (tptp.hAPP @t4007 @t1254) @t1254))) % 45.25/45.45 (assume @p3006 (forall @t4011 (=> @t4010 (=> @t2483 @t4009)))) % 45.25/45.45 (assume @p3007 (forall @t4013 (=> @t4010 (=> @t4012 @t4009)))) % 45.25/45.45 (assume @p3008 (forall @t4013 (=> @t4010 (=> @t4012 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t4008) @t160)))))) % 45.25/45.45 (assume @p3009 (forall (@list @t58 @t160 @t10) (=> @t4010 (=> (tptp.hBOOL (tptp.hAPP @t542 @t4008)) (not @t4012))))) % 45.25/45.45 (assume @p3010 (forall @t4015 (=> @t4006 (=> @t801 (= (tptp.hAPP (tptp.hAPP @t757 (tptp.hAPP (tptp.hAPP @t3403 @t3327) @t761)) @t25) (tptp.hAPP (tptp.hAPP @t2 @t2083) @t4014)))))) % 45.25/45.45 (assume @p3011 (= (tptp.hAPP @t4007 @t1700) @t1700)) % 45.25/45.45 (assume @p3012 (forall @t1972 (=> @t1971 (=> @t1900 (= @t4016 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t58) tptp.c_Nat_OSuc)))))))) % 45.25/45.45 (assume @p3013 (forall @t2087 (=> @t4006 @t2085))) % 45.25/45.45 (assume @p3014 (forall @t3810 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t40 @t1118 @t10 @t3138 @t3797) @t3796))) % 45.25/45.45 (assume @p3015 (forall (@list @t40 @t761 @t2 @t525 @t10 @t1118) (=> @t1124 (=> @t979 (=> (forall @t7 (=> @t526 (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t1070 @t525)) (=> (not @t4018) (=> @t4017 (= (tptp.hAPP @t761 @t5) (tptp.c_Groups_Ozero__class_Ozero @t1118)))))))) (= (tptp.hAPP @t1121 @t4004) (tptp.hAPP @t3625 @t525))))))) % 45.25/45.45 (assume @p3016 (forall @t3971 (=> (forall @t1596 (= @t3969 @t3968)) (= @t3510 @t3966)))) % 45.25/45.45 (assume @p3017 (forall @t2201 (=> (forall @t1596 (tptp.hBOOL (tptp.hAPP @t3970 @t62))) (tptp.hBOOL (tptp.hAPP @t3967 @t62))))) % 45.25/45.45 (assume @p3018 (forall (@list @t1143 @t24 @t25 @t1118 @t62 @t2 @t40 @t10) (=> @t703 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3780 @t3) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t775) @t62)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3780 @t1143) @t25)) @t4020))))) % 45.25/45.45 (assume @p3019 (forall (@list @t3957 @t2919 @t3319 @t3320 @t171 @t153 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP (tptp.hAPP @t4025 @t3782) @t3805)) (tptp.c_Wellfounded_Olex__prod @t10 @t40 @t2919 @t3957))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4024 @t3320)) @t2919)) (and @t3321 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4021 @t171) @t3319)) @t3957))))))) % 45.25/45.45 (assume @p3020 (forall (@list @t10 @t3421 @t99 @t4028 @t40 @t49 @t58) (=> @t61 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4021 @t4028) @t99)) @t4029)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP (tptp.hAPP @t4025 (tptp.hAPP @t3414 @t4028)) @t3415)) @t4027)))))) % 45.25/45.45 (assume @p3021 (forall @t33 (= (tptp.hBOOL (tptp.hAPP @t4034 @t4030)) (and @t522 @t674)))) % 45.25/45.45 (assume @p3022 (forall @t3955 (=> @t4035 (=> @t675 (=> @t674 @t3959))))) % 45.25/45.45 (assume @p3023 (forall (@list @t49 @t757 @t2 @t40 @t10) (=> @t4035 @t3263))) % 45.25/45.45 (assume @p3024 (forall (@list @t1 @t49 @t1118 @t757 @t2 @t40 @t10) (=> @t4035 (= (tptp.hAPP @t3946 @t3947) @t3947)))) % 45.25/45.45 (assume @p3025 (forall @t3944 (=> @t4035 (=> @t675 (=> @t843 (= @t3956 @t810)))))) % 45.25/45.45 (assume @p3026 (forall @t3944 (=> @t4035 (=> @t675 @t3958)))) % 45.25/45.45 (assume @p3027 (forall @t3955 (=> @t4035 (=> @t675 (=> @t30 (= @t3954 @t810)))))) % 45.25/45.45 (assume @p3028 (forall (@list @t749 @t24 @t2 @t3957 @t10 @t40) (=> @t4041 (=> @t4040 (=> @t4039 (=> (= @t4038 @t24) (=> @t4037 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t4036) @t24))))))))) % 45.25/45.45 (assume @p3029 (forall (@list @t749 @t2 @t3957 @t10 @t40) (=> @t4041 (=> @t4040 (=> @t4039 (=> (= @t4038 @t1837) (=> @t4037 (= @t4036 @t1837)))))))) % 45.25/45.45 (assume @p3030 (forall (@list @t445 @t58 @t55) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t4042) @t286))) (= (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP (tptp.hAPP @t1865 @t58) @t1867)) (tptp.hAPP (tptp.hAPP @t1865 @t55) @t1867)) (tptp.hAPP (tptp.hAPP @t1865 (tptp.hAPP (tptp.hAPP @t3542 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 tptp.tc_Nat_Onat) @t1091) @t58)) @t55)) @t1867))))) % 45.25/45.45 (assume @p3031 (forall @t3842 (= (tptp.hAPP @t3841 (tptp.hAPP @t4044 @t49)) (tptp.hAPP (tptp.hAPP @t3413 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t3354 @t1118) @t49))) (tptp.hAPP @t2 (tptp.hAPP @t4043 @t49)))))) % 45.25/45.45 (assume @p3032 (forall @t4050 (= (tptp.hAPP @t4049 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3354 @t40 @t1118 @t1) @t49)) (tptp.hAPP (tptp.hAPP @t3413 @t4048) @t4046)))) % 45.25/45.45 (assume @p3033 (forall @t4057 (=> @t4056 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t3957) @t545)) @t4055)))) % 45.25/45.45 (assume @p3034 (forall (@list @t1 @t49 @t2 @t40 @t10 @t1118) (= (= @t4060 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1118 @t10 @t40 @t1) @t49)) (= @t4059 (tptp.hAPP @t1 @t4058))))) % 45.25/45.45 (assume @p3035 (forall @t3978 (= (tptp.hAPP @t3973 @t4060) @t4059))) % 45.25/45.45 (assume @p3036 (forall @t4050 (= (tptp.hAPP @t4049 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3354 @t1118 @t40 @t1) @t49)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3354 @t10 @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t10 @t3354 @t2) @t1)) @t49)))) % 45.25/45.45 (assume @p3037 (forall (@list @t99 @t49 @t2 @t40 @t10 @t1118) (= (tptp.hAPP @t4049 (tptp.hAPP (tptp.hAPP @t4061 @t49) @t99)) (tptp.hAPP (tptp.hAPP @t3413 @t51) @t99)))) % 45.25/45.45 (assume @p3038 (forall @t3936 (= (tptp.hAPP @t3935 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t1118 @t40 @t10 @t2) @t49)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t1118 @t10) @t49)))) % 45.25/45.45 (assume @p3039 (forall (@list @t1072 @t1 @t3354 @t2 @t10 @t40 @t1118) (= (tptp.hAPP @t3841 (tptp.hAPP @t4044 @t1072)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3354 @t10 @t40 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t1118 @t40 @t3354 @t2) @t1072))))) % 45.25/45.45 (assume @p3040 (forall @t4057 (=> @t1897 @t4055))) % 45.25/45.45 (assume @p3041 (forall @t4057 (=> @t4056 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t3957) @t545)) @t4062)))) % 45.25/45.45 (assume @p3042 (forall @t4078 (=> @t4077 (=> @t4075 (=> (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4072 tptp.c_FunDef_Omin__strict))))))) % 45.25/45.45 (assume @p3043 (forall (@list @t877 @t49 @t3496 @t99) (=> (tptp.hBOOL (tptp.hAPP @t4081 @t3496)) (=> @t4075 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4080 @t3496)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4068 (tptp.hAPP @t4079 @t877)) @t3496)) tptp.c_FunDef_Omax__strict))))))) % 45.25/45.45 (assume @p3044 (forall @t4084 (=> (not (= @t877 @t4082)) (tptp.hBOOL (tptp.hAPP @t4083 tptp.c_FunDef_Omin__strict))))) % 45.25/45.45 (assume @p3045 (forall (@list @t3496) (=> (tptp.hBOOL (tptp.hAPP @t4086 @t3496)) (=> (not (= @t3496 @t4082)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4085 @t3496)) tptp.c_FunDef_Omax__strict)))))) % 45.25/45.45 (assume @p3046 (forall @t4057 (=> @t1897 @t4062))) % 45.25/45.45 (assume @p3047 (forall (@list @t4066 @t49 @t4063 @t99) (=> (tptp.hBOOL (tptp.hAPP @t4081 @t4063)) (=> @t4087 (=> (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4068 (tptp.hAPP @t4079 @t4066)) @t4063)) tptp.c_FunDef_Omax__weak))))))) % 45.25/45.45 (assume @p3048 (forall @t4078 (=> @t4077 (=> @t4087 (=> (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4072 tptp.c_FunDef_Omin__weak))))))) % 45.25/45.45 (assume @p3049 (forall @t4084 (tptp.hBOOL (tptp.hAPP @t4083 tptp.c_FunDef_Omin__weak)))) % 45.25/45.45 (assume @p3050 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t4086 @t877)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4085 @t877)) tptp.c_FunDef_Omax__weak))))) % 45.25/45.45 (assume @p3051 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4090 (tptp.c_Wellfounded_Omin__ext @t3813 tptp.c_FunDef_Opair__leq)) @t4089))) % 45.25/45.45 (assume @p3052 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4090 (tptp.c_Wellfounded_Omax__ext @t3813 tptp.c_FunDef_Opair__leq)) @t4089))) % 45.25/45.45 (assume @p3053 (tptp.c_FunDef_Oreduction__pair @t4067 (tptp.hAPP (tptp.hAPP @t4091 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 45.25/45.45 (assume @p3054 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t3813 tptp.c_FunDef_Opair__less))) % 45.25/45.45 (assume @p3055 (forall (@list @t394 @t62 @t3421 @t24 @t25 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4034 @t4092)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t62) @t394)) @t4092)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t275) (tptp.hAPP @t270 @t394))) @t4092)))))) % 45.25/45.45 (assume @p3056 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t3813 tptp.c_FunDef_Opair__less))) % 45.25/45.45 (assume @p3057 (tptp.c_FunDef_Oreduction__pair @t4067 (tptp.hAPP (tptp.hAPP @t4091 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 45.25/45.45 (assume @p3058 (forall (@list @t4093 @t49 @t3421 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 (tptp.hAPP @t4099 @t3421) @t49 @t4093) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t49) @t4093)) @t4092))))) % 45.25/45.45 (assume @p3059 (forall @t2700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 @t3917) tptp.c_Wellfounded_Oless__than)) @t2189))) % 45.25/45.45 (assume @p3060 (forall @t4104 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4053 (tptp.hAPP (tptp.hAPP @t4051 @t3917) @t4103)) tptp.c_Int_Ointrel)) (= @t4102 @t4100)))) % 45.25/45.45 (assume @p3061 (= 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))) % 45.25/45.45 (assume @p3062 (forall (@list @t3421 @t2 @t10) (= @t3999 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4105 @t10) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t10 tptp.c_Wellfounded_Oless__than @t3421)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t4105) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t10 @t4105) @t10) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t10)) @t2)) @t3442))))) % 45.25/45.45 (assume @p3063 (forall @t4108 (=> @t4107 (tptp.c_FunDef_Oreduction__pair @t40 (tptp.hAPP (tptp.hAPP @t4106 @t58) @t2))))) % 45.25/45.45 (assume @p3064 (forall @t1125 (=> @t3643 (=> @t691 (=> @t1123 (=> (forall @t7 (=> @t205 (= @t4 (tptp.hAPP @t3624 @t3)))) @t3644)))))) % 45.25/45.45 (assume @p3065 (forall @t788 (= @t4106 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3740 @t3740 @t4115) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3740 @t4118 @t4117) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4116 (tptp.tc_fun @t4118 @t4117) @t3740) (tptp.c_COMBB @t4114 @t4115 @t3740)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4113 @t4116 @t3740) (tptp.c_COMBS @t146 @t4110 @t4111)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4114 @t4113 @t3740) (tptp.hAPP (tptp.c_COMBB @t4110 @t4112 @t146) (tptp.c_Product__Type_OPair @t4110 @t4110))) @t4109)))) @t4109))))) % 45.25/45.45 (assume @p3066 (forall (@list @t2 @t2919 @t40 @t99 @t49 @t10) (= (tptp.hBOOL (tptp.hAPP @t3932 @t4120)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4021 @t51) @t113)) @t2919))))) % 45.25/45.45 (assume @p3067 (forall @t2700 (= (= (tptp.hAPP @t4121 (tptp.hAPP @t4079 @t4082)) (tptp.hAPP @t4121 (tptp.hAPP @t4065 @t4082))) (tptp.hBOOL (tptp.hAPP @t4074 tptp.c_Int_Ointrel))))) % 45.25/45.45 (assume @p3068 (forall @t4123 (=> @t3507 (=> @t26 (=> @t2941 (=> @t4122 (= @t3593 (tptp.hAPP (tptp.hAPP @t3505 @t1) @t24)))))))) % 45.25/45.45 (assume @p3069 (forall @t4125 (= (tptp.hAPP @t4124 @t573) @t142))) % 45.25/45.45 (assume @p3070 (forall (@list @t25 @t525 @t3421 @t10 @t40) (= (tptp.hAPP (tptp.c_Relation_OImage @t40 @t10 (tptp.hAPP (tptp.hAPP @t4129 @t3421) @t525)) @t25) (tptp.hAPP @t4127 (tptp.hAPP (tptp.c_Relation_OImage @t40 @t10 @t525) @t25))))) % 45.25/45.45 (assume @p3071 (forall (@list @t24 @t25 @t3421 @t10 @t40) (= (tptp.hAPP @t4124 @t608) (tptp.hAPP @t4127 @t4130)))) % 45.25/45.45 (assume @p3072 (forall (@list @t24 @t25 @t1118 @t2919 @t10 @t40) (= (tptp.hAPP @t4131 @t3377) (tptp.hAPP @t3379 @t4132)))) % 45.25/45.45 (assume @p3073 (forall (@list @t24 @t25 @t1118 @t2919 @t40 @t10) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4135) @t4133)))) % 45.25/45.45 (assume @p3074 (forall @t4138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4137) @t4136)))) % 45.25/45.45 (assume @p3075 (forall (@list @t25 @t805 @t2919 @t4141 @t40 @t10) (=> @t4142 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t805) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t40 @t4141) @t805)) @t4140)))))) % 45.25/45.45 (assume @p3076 (forall @t4148 (= @t4147 (exists @t7 (and @t891 @t4145))))) % 45.25/45.45 (assume @p3077 (forall (@list @t2919 @t171 @t40 @t25 @t153 @t10) (=> @t852 (=> @t4149 (tptp.hBOOL (tptp.hAPP @t905 @t4140)))))) % 45.25/45.45 (assume @p3078 (forall (@list @t24 @t2919 @t10 @t40) (= (tptp.hAPP @t4131 @t24) (tptp.hAPP @t3480 (tptp.hAPP (tptp.hAPP @t4151 @t4131) @t4150))))) % 45.25/45.45 (assume @p3079 (forall (@list @t153 @t2919 @t40 @t171 @t10) (= (tptp.hBOOL (tptp.hAPP @t863 @t4154)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4144 @t4153) @t2919))))) % 45.25/45.45 (assume @p3080 (forall @t144 (= @t3929 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t10) tptp.c_Wellfounded_Oless__than)))) % 45.25/45.45 (assume @p3081 (forall (@list @t1143 @t749 @t10) (=> @t1946 (= (tptp.hAPP @t3079 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP (tptp.hAPP @t3768 @t749) @t1143)) @t4082)))) (tptp.hAPP (tptp.hAPP @t695 (tptp.hAPP @t2771 @t749)) (tptp.hAPP @t2771 @t1143)))))) % 45.25/45.45 (assume @p3082 (= @t2202 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP (tptp.hAPP @t3768 @t1569) @t1700)) @t4082))))) % 45.25/45.45 (assume @p3083 (forall @t4104 (= (tptp.hAPP (tptp.hAPP @t2165 @t4158) @t4157) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t4156 @t236)) (tptp.hAPP @t4155 @t2107))) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t4156 @t2107)) (tptp.hAPP @t4155 @t236)))) @t4082)))))) % 45.25/45.45 (assume @p3084 (forall @t2508 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3980) @t49))) % 45.25/45.45 (assume @p3085 (forall @t2700 (= (tptp.hAPP @t2235 @t4158) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP (tptp.hAPP @t3768 @t99) @t49)) @t4082)))))) % 45.25/45.45 (assume @p3086 (= @t2207 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP @t3774 @t1700)) @t4082))))) % 45.25/45.45 (assume @p3087 (forall @t1640 (= @t2806 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP @t4159 @t1700)) @t4082)))))) % 45.25/45.45 (assume @p3088 (forall @t4104 (= (tptp.hAPP (tptp.hAPP @t2227 @t4158) @t4157) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t4101 @t236)) (tptp.hAPP (tptp.hAPP @t1144 @t99) @t2107))) @t4082)))))) % 45.25/45.45 (assume @p3089 (forall @t2700 (= (tptp.hAPP tptp.c_Int_Onat @t4158) @t2861))) % 45.25/45.45 (assume @p3090 (forall @t2390 (= (tptp.hAPP @t2235 @t348) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3813 @t4067) @t3965) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4067) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4162 @t4162 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4067 @t4067 tptp.tc_Nat_Onat) @t4121)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4067 @t4162) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4161 (tptp.tc_fun @t4067 @t4162) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4067 @t4067)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3814 @t4161 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3813 @t4160 tptp.tc_Nat_Onat) @t4064)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3813) @t3768)))) @t4082)))))))) % 45.25/45.45 (assume @p3091 (forall @t4104 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t4158) @t4157)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t4102) @t4100))))) % 45.25/45.45 (assume @p3092 (forall @t4104 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t4158) @t4157)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t4102) @t4100))))) % 45.25/45.45 (assume @p3093 (forall @t2920 (= (tptp.c_Relation_Oirrefl @t10 @t2919) @t4163))) % 45.25/45.45 (assume @p3094 (forall @t2390 (not (forall @t633 (not (= @t348 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4121 (tptp.hAPP (tptp.hAPP @t4064 @t3996) @t4082))))))))) % 45.25/45.45 (assume @p3095 (forall @t4168 (= (tptp.hAPP @t4164 (tptp.hAPP (tptp.hAPP @t4167 @t4166) @t2919)) (tptp.hAPP (tptp.hAPP @t239 @t500) @t4165)))) % 45.25/45.45 (assume @p3096 (forall @t4169 (= (tptp.hAPP @t4164 (tptp.c_Complete__Lattice_OSup__class_OSup @t3740 @t3421)) (tptp.c_Complete__Lattice_OSup__class_OSup @t27 (tptp.hAPP (tptp.c_Set_Oimage @t3740 @t27 @t4164) @t3421))))) % 45.25/45.45 (assume @p3097 (forall @t144 (= (tptp.hAPP @t4164 @t3742) @t142))) % 45.25/45.45 (assume @p3098 (forall @t4173 (=> @t4172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4165) @t4170))))) % 45.25/45.45 (assume @p3099 (forall @t4173 (= (tptp.hAPP @t4164 @t4176) (tptp.hAPP (tptp.hAPP @t239 @t4165) @t4170)))) % 45.25/45.45 (assume @p3100 (forall @t2920 (=> @t4178 (tptp.hBOOL (tptp.hAPP @t673 @t4165))))) % 45.25/45.45 (assume @p3101 (forall @t53 (= @t4180 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3740) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3740 @t3740) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3739 (tptp.tc_fun @t3740 @t3740) @t10) @t4167) @t4179)) @t3742))))) % 45.25/45.45 (assume @p3102 (forall @t4186 (= @t4185 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t111) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t111 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t4183 @t10) @t539) (tptp.hAPP (tptp.hAPP @t4182 @t4181) @t3265))) @t196))))) % 45.25/45.45 (assume @p3103 (forall @t4148 (=> @t4147 (not (forall @t7 (=> @t4145 (not @t891))))))) % 45.25/45.45 (assume @p3104 (forall @t2920 (= (tptp.hAPP (tptp.hAPP @t4184 @t142) @t2919) @t196))) % 45.25/45.45 (assume @p3105 (forall @t4186 (= (= @t196 @t4185) @t151))) % 45.25/45.45 (assume @p3106 (forall @t4186 (= (= @t4185 @t196) @t151))) % 45.25/45.45 (assume @p3107 (forall @t53 (= @t4180 (tptp.hAPP @t4191 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 tptp.tc_HOL_Obool @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4189 (tptp.tc_fun tptp.tc_HOL_Obool @t27) @t10) (tptp.c_COMBC @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t4190 tptp.c_fequal))) @t25))))) % 45.25/45.45 (assume @p3108 (forall @t144 (= (tptp.c_Relation_OId__on @t10 @t142) @t3742))) % 45.25/45.45 (assume @p3109 (forall @t33 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4180) @t24) @t256))) % 45.25/45.45 (assume @p3110 (forall (@list @t153 @t25 @t2919 @t10) (=> @t4192 (=> @t852 (= (tptp.hAPP (tptp.hAPP @t4184 @t743) @t2919) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t111) @t4185) (tptp.hAPP (tptp.hAPP @t4184 @t494) @t2919))))))) % 45.25/45.45 (assume @p3111 (forall (@list @t2919 @t25 @t49 @t10) (=> @t843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t4193) @t4185))))) % 45.25/45.45 (assume @p3112 (forall @t889 (=> @t429 (=> @t852 (tptp.hBOOL (tptp.hAPP @t4194 @t4180)))))) % 45.25/45.45 (assume @p3113 (forall @t481 (= (tptp.hBOOL (tptp.hAPP @t3932 @t4180)) (and @t100 @t843)))) % 45.25/45.45 (assume @p3114 (forall @t4196 (= @t4195 (tptp.hAPP (tptp.hAPP @t539 @t4193) @t196)))) % 45.25/45.45 (assume @p3115 (forall @t4186 (=> @t675 (=> @t4192 (= (tptp.hAPP @t2109 @t4185) @t1529))))) % 45.25/45.45 (assume @p3116 (forall (@list @t171 @t153 @t49 @t2919 @t25 @t10) (=> @t4200 (=> (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP (tptp.hAPP @t246 @t4199) @t4198))) @t4197)))) % 45.25/45.45 (assume @p3117 (forall (@list @t153 @t171 @t2919 @t25 @t10) (=> @t4200 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4198) @t4199)) @t4201)))) % 45.25/45.45 (assume @p3118 (forall (@list @t2919 @t25 @t877 @t10) (=> @t4202 (not (forall @t7 (=> (= @t877 (tptp.hAPP @t4181 @t2532)) @t895)))))) % 45.25/45.45 (assume @p3119 (tptp.c_Equiv__Relations_Oequiv @t3813 @t4203 tptp.c_Int_Ointrel)) % 45.25/45.45 (assume @p3120 (forall @t4186 (=> @t4200 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t4185) @t25)))) % 45.25/45.45 (assume @p3121 (forall @t4204 (=> @t4200 (=> @t852 (tptp.hBOOL (tptp.hAPP @t851 @t4199)))))) % 45.25/45.45 (assume @p3122 (forall (@list @t3496 @t877 @t2919 @t25 @t10) (=> @t4200 (=> @t4202 (=> @t4206 (or @t4205 (= (tptp.hAPP (tptp.hAPP @t246 @t877) @t3496) @t142))))))) % 45.25/45.45 (assume @p3123 (forall @t4208 (=> @t4200 (=> @t4197 @t4207)))) % 45.25/45.45 (assume @p3124 (forall @t4212 (=> @t4200 (=> @t4202 (=> @t4206 (=> @t4211 (=> @t4210 (= @t4205 @t4209)))))))) % 45.25/45.45 (assume @p3125 (forall @t4212 (=> @t4200 (=> @t4202 (=> @t4206 (=> @t4211 (=> @t4210 (=> @t4209 @t4205)))))))) % 45.25/45.45 (assume @p3126 (forall @t4214 (=> @t4200 (= @t4209 (and @t4213 @t843 @t887))))) % 45.25/45.45 (assume @p3127 (forall (@list @t25 @t171 @t153 @t2919 @t10) (=> @t4207 (=> @t4200 @t4201)))) % 45.25/45.45 (assume @p3128 (forall @t4214 (=> @t4200 (=> @t843 (=> @t887 (= @t4213 @t4209)))))) % 45.25/45.45 (assume @p3129 (forall @t4208 (=> @t4200 (=> @t4197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4199) @t4198)))))) % 45.25/45.45 (assume @p3130 (forall @t4214 (=> @t4200 (=> @t843 (=> @t887 (= (= @t4195 (tptp.hAPP (tptp.hAPP @t4184 @t1531) @t2919)) @t4209)))))) % 45.25/45.45 (assume @p3131 (forall (@list @t2102 @t2103 @t2 @t1118 @t4215 @t4220 @t40 @t4218 @t4221 @t10) (=> @t4224 (=> @t4223 (=> @t4222 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t2103) @t4221)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 @t2102) @t4220)) (= (tptp.hAPP (tptp.hAPP @t4219 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4218) (tptp.hAPP @t2104 @t142))) (tptp.hAPP (tptp.hAPP @t4217 (tptp.hAPP @t3366 (tptp.hAPP @t4216 (tptp.hAPP (tptp.hAPP @t580 @t2102) @t573)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t2103) @t2102))))))))) % 45.25/45.45 (assume @p3132 (forall (@list @t153 @t2 @t40 @t2919 @t25 @t10) (=> @t4200 (=> @t4225 (=> @t852 (= (tptp.hAPP (tptp.hAPP @t777 @t4199) @t2) @t579)))))) % 45.25/45.45 (assume @p3133 (forall @t53 (= (tptp.c_Equiv__Relations_Oequiv @t10 @t143 @t25) (tptp.c_Equiv__Relations_Oequivp @t10 (tptp.hAPP @t4099 @t25))))) % 45.25/45.45 (assume @p3134 (forall @t4230 (=> @t4229 @t4228))) % 45.25/45.45 (assume @p3135 (forall @t4232 (=> @t4229 @t4231))) % 45.25/45.45 (assume @p3136 (forall @t4234 (=> @t4229 @t4233))) % 45.25/45.45 (assume @p3137 (forall @t4169 (= @t4229 (forall @t633 (= @t4238 @t4237))))) % 45.25/45.45 (assume @p3138 (forall @t144 (tptp.c_Equiv__Relations_Oequivp @t10 tptp.c_fequal))) % 45.25/45.45 (assume @p3139 (forall (@list @t153 @t2 @t4215 @t1118 @t40 @t4218 @t25 @t10) (=> (tptp.c_Equiv__Relations_Oequiv @t10 @t25 @t4218) (=> @t4239 (=> @t852 (tptp.c_Equiv__Relations_Ocongruent @t40 @t1118 @t4215 @t579)))))) % 45.25/45.45 (assume @p3140 (forall (@list @t4240 @t4242 @t4241 @t4243 @t2 @t4215 @t4218 @t1118 @t40 @t10) (=> @t4239 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 @t4243) @t4241)) @t4218)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4021 @t4242) @t4240)) @t4215)) (= (tptp.hAPP (tptp.hAPP @t2 @t4243) @t4242) (tptp.hAPP (tptp.hAPP @t2 @t4241) @t4240))))))) % 45.25/45.45 (assume @p3141 (forall (@list @t348 @t99 @t2 @t2919 @t40 @t10) (=> @t4246 (=> (tptp.hBOOL (tptp.hAPP @t4245 @t2919)) (= @t113 @t1027))))) % 45.25/45.45 (assume @p3142 (forall (@list @t153 @t2 @t1118 @t4215 @t4220 @t40 @t4218 @t4221 @t10) (=> @t4224 (=> @t4223 (=> @t4222 (=> (tptp.hBOOL (tptp.hAPP @t3202 @t4220)) (tptp.c_Equiv__Relations_Ocongruent @t10 @t3186 @t4218 (tptp.hAPP (tptp.hAPP @t4217 (tptp.hAPP @t3366 (tptp.hAPP @t4216 @t3295))) @t2)))))))) % 45.25/45.45 (assume @p3143 (forall (@list @t3496 @t877 @t2 @t40 @t2919 @t25 @t10) (=> @t4200 (=> @t4225 (=> (= @t4249 (tptp.hAPP (tptp.hAPP @t777 @t3496) @t2)) (=> @t4202 (=> @t4206 (=> (forall @t7 (=> @t205 (forall @t938 (=> @t1071 (=> @t4017 @t4248))))) @t4205)))))))) % 45.25/45.45 (assume @p3144 (forall (@list @t24 @t4250 @t4251 @t2 @t1118 @t4215 @t4220 @t40 @t4218 @t4221 @t10) (=> @t4224 (=> @t4223 (=> @t4222 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t4251) (tptp.hAPP (tptp.hAPP @t4184 @t4221) @t4218))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4254 @t4250) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t40) @t4220) @t4215))) (=> (forall @t2482 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t2480) @t4221)) (forall (@list @t4253) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 @t4253) @t4220)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4252 (tptp.hAPP (tptp.hAPP @t2 @t2480) @t4253)) @t24)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4252 (tptp.hAPP (tptp.hAPP @t4219 @t4251) (tptp.hAPP (tptp.hAPP @t4217 (tptp.hAPP @t3366 @t4250)) @t2))) @t24)))))))))) % 45.25/45.45 (assume @p3145 (forall (@list @t24 @t877 @t2 @t40 @t2919 @t25 @t10) (=> @t4200 (=> @t4225 (=> @t4202 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4254 @t5) @t24)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4254 @t4249) @t24)))))))) % 45.25/45.45 (assume @p3146 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t3813) @t4203) tptp.c_Int_Ointrel))) % 45.25/45.45 (assume @p3147 (forall @t874 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 @t174) @t4180)) (not (forall @t7 (=> @t205 (not (= @t174 @t3755)))))))) % 45.25/45.45 (assume @p3148 (forall @t4123 (=> @t3507 (=> @t26 (=> @t2941 (=> @t4122 (= @t3613 (tptp.hAPP (tptp.hAPP @t3590 @t1) @t24)))))))) % 45.25/45.45 (assume @p3149 (forall @t2508 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4255 @t3980) tptp.c_Int_OInteg)))) % 45.25/45.45 (assume @p3150 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4067 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 45.25/45.45 (assume @p3151 (forall @t4259 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t10 @t4258) @t49)) @t4257))) % 45.25/45.45 (assume @p3152 (forall (@list @t2102 @t2103 @t3421 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 @t3421 @t2103 @t2102) (and @t4265 @t4264 @t4263 (forall @t7 (=> @t4262 (exists @t384 (and @t4261 @t4260)))))))) % 45.25/45.45 (assume @p3153 (forall @t3892 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t3888) @t3889)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.c_Wellfounded_Oacc @t10 @t3889)) (tptp.c_Wellfounded_Oacc @t10 @t3888)))))) % 45.25/45.45 (assume @p3154 (forall (@list @t153 @t2919 @t171 @t10) (=> @t4267 (=> @t4197 @t4266)))) % 45.25/45.45 (assume @p3155 (forall @t4269 (= @t4266 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t153)) @t2919)) @t4268))))) % 45.25/45.45 (assume @p3156 (forall @t4273 (=> @t4272 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t4270) @t143) @t25)))) % 45.25/45.45 (assume @p3157 (forall @t4273 (=> @t4272 (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 @t4271) @t25) @t143)))) % 45.25/45.45 (assume @p3158 (forall @t4276 (=> @t4272 (=> @t866 (=> @t4275 (= (= (tptp.hAPP @t4271 @t49) @t4274) @t100)))))) % 45.25/45.45 (assume @p3159 (forall @t4278 (=> @t4272 (= (tptp.hAPP @t4271 @t4277) @t49)))) % 45.25/45.45 (assume @p3160 (forall @t4276 (=> @t4272 (= (= @t4277 (tptp.hAPP @t4270 @t99)) @t100)))) % 45.25/45.45 (assume @p3161 (forall @t4278 (=> @t4272 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 @t4277) @t25))))) % 45.25/45.45 (assume @p3162 (forall (@list @t99 @t25 @t4271 @t4270 @t40 @t10) (=> @t4272 (=> @t4275 (= (tptp.hAPP @t4270 @t4274) @t99))))) % 45.25/45.45 (assume @p3163 (forall @t4286 (=> @t4285 (=> @t4284 (=> @t4283 (=> (forall @t7 (=> @t4282 (exists @t384 (and @t4281 @t4280)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t877) @t3496)) @t4092)))))))) % 45.25/45.45 (assume @p3164 (forall @t216 (= (tptp.c_Nitpick_Ozero__frac @t35) (tptp.c_Nitpick_OAbs__Frac @t35 @t3708)))) % 45.25/45.45 (assume @p3165 (forall (@list @t877 @t10) (= (tptp.c_Set_Othe__elem @t10 @t877) (tptp.c_HOL_OThe @t10 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP tptp.c_fequal @t877)) @t3265))))) % 45.25/45.45 (assume @p3166 (forall @t3420 (= (tptp.c_HOL_OThe @t783 @t4291) @t3415))) % 45.25/45.45 (assume @p3167 (forall @t4294 (= (tptp.c_HOL_OThe @t783 @t58) (tptp.c_HOL_OThe @t783 @t4293)))) % 45.25/45.45 (assume @p3168 (forall @t4303 (= @t1022 (tptp.c_HOL_OThe @t10 @t4302)))) % 45.25/45.45 (assume @p3169 (forall (@list @t25 @t348 @t2 @t10 @t40) (= (tptp.hAPP @t1479 @t25) (tptp.c_HOL_OThe @t10 (tptp.c_Finite__Set_Ofold__graph @t40 @t10 @t2 @t348 @t25))))) % 45.25/45.45 (assume @p3170 (forall @t1373 (= @t3815 (tptp.c_HOL_OThe @t3813 @t3994)))) % 45.25/45.45 (assume @p3171 (forall @t3234 (= @t1093 (tptp.c_HOL_OThe @t10 @t1538)))) % 45.25/45.45 (assume @p3172 (forall @t4294 (= (tptp.c_HOL_OThe @t783 @t4305) (tptp.c_HOL_OThe @t783 @t4304)))) % 45.25/45.45 (assume @p3173 (forall @t216 (= (tptp.c_Nitpick_Oone__frac @t35) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t3178 @t2202) @t2202))))) % 45.25/45.45 (assume @p3174 (forall @t2170 (= (tptp.c_Nitpick_Onumber__of__frac @t35 @t1254) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t3178 @t1254) @t2202))))) % 45.25/45.45 (assume @p3175 (forall @t225 (= (tptp.hAPP (tptp.hAPP @t4306 @t83) @t87) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.c_Nitpick_Onorm__frac @t83 @t87))))) % 45.25/45.45 (assume @p3176 (forall @t208 (and (=> @t4308 (= @t4307 @t171)) (=> (not @t4308) (= @t4307 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t3422 (tptp.hAPP @t692 @t492)))))))) % 45.25/45.45 (assume @p3177 (forall @t4311 (=> @t684 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4310) (tptp.hAPP (tptp.hAPP @t440 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t4298 @t153))) @t142)))))) % 45.25/45.45 (assume @p3178 (forall @t4314 (=> @t4313 (not (forall @t7 (not (= @t99 @t4312))))))) % 45.25/45.45 (assume @p3179 (forall (@list @t40 @t24 @t10 @t171 @t153 @t2) (=> @t4317 (=> (tptp.hBOOL (tptp.hAPP @t863 @t24)) (tptp.hBOOL (tptp.hAPP @t3202 @t4316)))))) % 45.25/45.45 (assume @p3180 (forall @t688 (= (tptp.hAPP @t4309 @t615) @t143))) % 45.25/45.45 (assume @p3181 (forall @t688 (= (tptp.hAPP @t4309 @t573) @t142))) % 45.25/45.45 (assume @p3182 (forall @t609 (= (tptp.hAPP @t4309 @t608) (tptp.hAPP (tptp.hAPP @t239 @t4319) @t4318)))) % 45.25/45.45 (assume @p3183 (forall @t4321 (= (tptp.hAPP @t4309 @t4134) (tptp.hAPP @t3376 @t4320)))) % 45.25/45.45 (assume @p3184 (forall (@list @t49 @t2 @t1 @t1118 @t40 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t40 @t3589) @t49) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t1118 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t1118 @t40 @t1) @t49))))) % 45.25/45.45 (assume @p3185 (forall @t3497 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t3442) @t3496) @t3496))) % 45.25/45.45 (assume @p3186 (forall @t575 (= (tptp.hAPP @t4309 @t614) (tptp.hAPP @t184 @t4319)))) % 45.25/45.45 (assume @p3187 (forall @t1034 (= (tptp.hBOOL (tptp.hAPP @t4319 @t49)) (tptp.hBOOL (tptp.hAPP @t25 @t51))))) % 45.25/45.45 (assume @p3188 (forall @t609 (= (tptp.hAPP @t4309 @t612) (tptp.hAPP (tptp.hAPP @t246 @t4319) @t4318)))) % 45.25/45.45 (assume @p3189 (forall @t605 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t4322) @t4316))))) % 45.25/45.45 (assume @p3190 (forall @t4321 (= (tptp.hAPP @t4309 @t3377) (tptp.hAPP @t3379 @t4320)))) % 45.25/45.45 (assume @p3191 (forall @t609 (= (tptp.hAPP @t4309 @t747) (tptp.hAPP (tptp.hAPP @t686 @t4319) @t4318)))) % 45.25/45.45 (assume @p3192 (forall (@list @t40 @t25 @t153 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t579) @t25)) (tptp.hBOOL (tptp.hAPP @t3202 @t4322))))) % 45.25/45.45 (assume @p3193 (forall (@list @t25 @t2 @t40 @t153 @t10) (=> (tptp.hBOOL (tptp.hAPP @t851 @t4319)) (tptp.hBOOL (tptp.hAPP @t940 @t25))))) % 45.25/45.45 (assume @p3194 (forall (@list @t24 @t2 @t40 @t153 @t10) (= (tptp.hBOOL (tptp.hAPP @t851 @t4318)) (tptp.hBOOL (tptp.hAPP @t940 @t24))))) % 45.25/45.45 (assume @p3195 (forall @t575 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4323) @t25)))) % 45.25/45.45 (assume @p3196 (forall @t577 (=> @t617 (= @t4323 @t25)))) % 45.25/45.45 (assume @p3197 (forall @t575 (= (tptp.hAPP @t4309 @t3330) (tptp.hAPP @t3335 @t4309)))) % 45.25/45.45 (assume @p3198 (forall (@list @t171 @t2 @t40 @t153 @t10) (= (tptp.hBOOL (tptp.hAPP @t851 (tptp.hAPP @t4309 (tptp.hAPP @t4324 @t573)))) @t4317))) % 45.25/45.45 (assume @p3199 (forall (@list @t24 @t153 @t2 @t40 @t10) (= (tptp.hAPP @t4309 @t582) (tptp.hAPP (tptp.hAPP @t239 @t4310) @t4318)))) % 45.25/45.45 (assume @p3200 (forall @t4327 (=> @t4326 (=> (= (tptp.hAPP @t762 @t143) @t615) @t4325)))) % 45.25/45.45 (assume @p3201 (forall (@list @t25 @t24 @t2 @t10 @t40) (=> @t617 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t4316) @t25)) @t598)))) % 45.25/45.45 (assume @p3202 (forall @t577 (= @t4323 (tptp.hAPP @t255 @t616)))) % 45.25/45.45 (assume @p3203 (forall @t764 (=> @t759 (=> (tptp.c_Fun_Oinj__on @t40 @t10 @t761 @t615) (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP (tptp.c_Set_Ovimage @t40 @t10 @t761) @t757))))))) % 45.25/45.45 (assume @p3204 (forall @t575 (=> @t684 (= (tptp.hAPP @t4309 @t602) @t25)))) % 45.25/45.45 (assume @p3205 (forall (@list @t40 @t25 @t174 @t10) (and (=> @t846 (= @t4328 @t615)) (=> @t847 (= @t4328 @t573))))) % 45.25/45.45 (assume @p3206 (forall @t4329 (= @t4318 (tptp.hAPP @t3480 (tptp.hAPP (tptp.hAPP @t4151 @t4309) @t4150))))) % 45.25/45.45 (assume @p3207 (forall @t711 (=> @t684 (=> @t800 @t4330)))) % 45.25/45.45 (assume @p3208 (forall (@list @t24 @t40 @t170 @t25 @t174 @t10) (and (=> @t846 (and (=> @t4334 (= @t4333 @t615)) (=> @t4335 (= @t4333 @t24)))) (=> @t847 (and (=> @t4334 (= @t4333 (tptp.hAPP @t613 @t24))) (=> @t4335 (= @t4333 @t573))))))) % 45.25/45.45 (assume @p3209 (forall (@list @t25 @t1 @t2 @t40 @t10 @t1118) (= (tptp.hAPP (tptp.c_Set_Oimage @t1118 @t783 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t1118 @t40 @t783) @t4339) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t4338 @t4337) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3186 @t569 @t10) @t3495) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3186 @t3186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3186 @t4336 @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3186)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t3186 @t10) (tptp.c_Set_Ovimage @t1118 @t10 @t2)) @t3265))) @t25)))))) % 45.25/45.45 (assume @p3210 (forall @t4341 (=> @t4313 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t58 @t4312))) @t4340)))) % 45.25/45.45 (assume @p3211 (forall (@list @t25 @t2 @t1118 @t40 @t10 @t3210) (=> (not (= @t3210 @t142)) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3067 @t3210)) (tptp.c_Fun_Oinj__on @t40 @t1118 @t2 (tptp.hAPP @t25 @t1966)))) (tptp.c_Fun_Oinj__on @t40 @t1118 @t2 @t3211))))) % 45.25/45.45 (assume @p3212 (forall @t3216 (=> @t852 (=> @t3215 @t4344)))) % 45.25/45.45 (assume @p3213 (forall @t4351 (=> @t4350 (= (= @t4349 @t4347) @t26)))) % 45.25/45.45 (assume @p3214 (forall @t3531 (= (tptp.hAPP @t4352 (tptp.hAPP (tptp.hAPP @t4356 @t3521) @t24)) (tptp.hAPP (tptp.hAPP @t4355 @t4354) @t4353)))) % 45.25/45.45 (assume @p3215 (forall @t4361 (= (tptp.hAPP (tptp.hAPP @t4338 @t693) @t4357) (tptp.hAPP (tptp.hAPP @t4355 @t4360) @t4359)))) % 45.25/45.45 (assume @p3216 (forall @t4364 (= (tptp.hAPP (tptp.hAPP @t4338 (tptp.hAPP (tptp.hAPP @t686 @t3210) @t3455)) @t62) (tptp.hAPP (tptp.hAPP @t4355 @t4363) @t4362)))) % 45.25/45.45 (assume @p3217 (forall (@list @t24 @t40 @t10) (= (tptp.hAPP (tptp.hAPP @t4338 @t142) @t24) @t3412))) % 45.25/45.45 (assume @p3218 (forall (@list @t24 @t877 @t40 @t10) (= (tptp.hAPP (tptp.hAPP @t4338 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t877)) @t24) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t27 @t784) @t877) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t3418 @t784) @t4338) @t24))))) % 45.25/45.45 (assume @p3219 (forall @t1953 (= (tptp.hAPP @t4367 @t4366) (tptp.hAPP (tptp.hAPP @t1264 @t1529) @t1556)))) % 45.25/45.45 (assume @p3220 (forall @t3345 (=> @t1132 (= @t3344 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3243 @t10) @t3811) @t4370))))) % 45.25/45.45 (assume @p3221 (forall @t1953 (= (= @t4366 @t3412) (or @t151 @t1954)))) % 45.25/45.45 (assume @p3222 (forall @t3225 (= (tptp.hAPP @t4342 (tptp.hAPP @t3256 @t573)) @t3412))) % 45.25/45.45 (assume @p3223 (forall @t3225 (= (tptp.hAPP @t4372 (tptp.hAPP @t4342 @t4371)) (tptp.hAPP (tptp.hAPP @t4338 @t199) @t4371)))) % 45.25/45.45 (assume @p3224 (forall @t3225 (= (tptp.hAPP @t4372 (tptp.hAPP @t4373 @t4374)) (tptp.hAPP @t4373 (tptp.hAPP @t3256 @t614))))) % 45.25/45.45 (assume @p3225 (forall @t3345 (=> @t1664 (= (tptp.hAPP (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t3343 (tptp.hAPP (tptp.hAPP @t3341 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t1118 @t10)) @t2)) @t24)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3243 @t10) @t3811) @t4370))))) % 45.25/45.45 (assume @p3226 (forall @t4364 (= (tptp.hAPP (tptp.hAPP @t4338 (tptp.hAPP (tptp.hAPP @t239 @t3210) @t3455)) @t62) (tptp.hAPP (tptp.hAPP @t3437 @t4363) @t4362)))) % 45.25/45.45 (assume @p3227 (forall @t4361 (= (tptp.hAPP (tptp.hAPP @t4338 @t251) @t4357) (tptp.hAPP (tptp.hAPP @t3437 @t4360) @t4359)))) % 45.25/45.45 (assume @p3228 (forall @t3531 (= (tptp.hAPP @t4352 (tptp.hAPP (tptp.hAPP @t4356 @t3302) @t24)) (tptp.hAPP (tptp.hAPP @t3437 @t4354) @t4353)))) % 45.25/45.45 (assume @p3229 (forall @t3261 (= (tptp.hAPP (tptp.c_Set_Oimage @t3820 @t783 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t10 @t783) @t4376)) @t4375) (tptp.hAPP @t4358 @t4374)))) % 45.25/45.45 (assume @p3230 (forall @t781 (=> @t675 (=> @t798 @t4377)))) % 45.25/45.45 (assume @p3231 (forall @t4186 (=> @t4200 @t4381))) % 45.25/45.45 (assume @p3232 (forall @t3531 (= (tptp.hAPP @t4352 (tptp.hAPP (tptp.hAPP @t4356 @t3287) @t24)) (tptp.hAPP (tptp.hAPP @t3440 @t4354) @t4353)))) % 45.25/45.45 (assume @p3233 (forall @t4361 (= (tptp.hAPP (tptp.hAPP @t4338 @t256) @t4357) (tptp.hAPP (tptp.hAPP @t3440 @t4360) @t4359)))) % 45.25/45.45 (assume @p3234 (forall @t4364 (= (tptp.hAPP (tptp.hAPP @t4338 (tptp.hAPP (tptp.hAPP @t246 @t3210) @t3455)) @t62) (tptp.hAPP (tptp.hAPP @t3440 @t4363) @t4362)))) % 45.25/45.45 (assume @p3235 (forall @t53 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t4180) @t4380)))) % 45.25/45.45 (assume @p3236 (forall @t788 (= (tptp.hAPP @t4373 @t4371) @t785))) % 45.25/45.45 (assume @p3237 (forall @t4382 (=> @t4344 (not (=> @t852 (not @t3215)))))) % 45.25/45.45 (assume @p3238 (forall @t4382 (=> @t4344 @t3215))) % 45.25/45.45 (assume @p3239 (forall @t4382 (=> @t4344 @t852))) % 45.25/45.45 (assume @p3240 (forall @t4382 (= @t4344 (and @t852 @t3215)))) % 45.25/45.45 (assume @p3241 (forall (@list @t25 @t49 @t40 @t10) (= (tptp.hAPP @t4367 (tptp.hAPP (tptp.hAPP @t4338 @t532) @t4374)) @t1549))) % 45.25/45.45 (assume @p3242 (forall @t4351 (=> @t4350 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4384 @t4349) @t4347)) (tptp.hBOOL (tptp.hAPP @t4383 @t24)))))) % 45.25/45.45 (assume @p3243 (forall (@list @t62 @t24 @t25 @t2919 @t40 @t10) (=> @t4386 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 (tptp.hAPP @t4139 @t62)) @t24))))) % 45.25/45.45 (assume @p3244 (forall @t1953 (=> @t4377 (=> (not @t1954) @t675)))) % 45.25/45.45 (assume @p3245 (forall @t1953 (=> @t4377 (=> @t678 @t798)))) % 45.25/45.45 (assume @p3246 (forall (@list @t25 @t40 @t10 @t24) (and (=> @t379 (= @t4387 @t573)) (=> @t677 (= @t4387 @t25))))) % 45.25/45.45 (assume @p3247 (forall (@list @t24 @t40 @t10 @t25) (and (=> @t151 (= @t4388 @t573)) (=> @t678 (= @t4388 @t24))))) % 45.25/45.45 (assume @p3248 (forall (@list @t24 @t171 @t25 @t153 @t40 @t10) (= (tptp.hAPP @t4389 @t4390) (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t3437 (tptp.hAPP @t4342 @t4390)) (tptp.hAPP @t4389 @t4365)))))) % 45.25/45.45 (assume @p3249 (forall (@list @t877 @t2919 @t25 @t10) (=> @t675 (=> @t4381 (=> @t4202 @t4285))))) % 45.25/45.45 (assume @p3250 (forall (@list @t24 @t25 @t2 @t1118 @t40 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t3243 @t2) @t4370) (tptp.hAPP (tptp.hAPP @t246 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t3243 @t40 @t10 @t3983) @t2)) @t25)) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t1118 (tptp.hAPP (tptp.c_Fun_Ocomp @t3243 @t1118 @t10 @t3933) @t2)) @t24))))) % 45.25/45.45 (assume @p3251 (forall (@list @t757 @t4393 @t24 @t25 @t40 @t10 @t3354 @t1118) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4398 @t784) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t1118 @t3354) @t25) (tptp.hAPP (tptp.c_COMBK @t4397 @t1118) @t24))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1118 @t3354 @t784) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1118 @t4396 @t4395) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4394 (tptp.tc_fun @t4396 @t4395) @t1118) (tptp.c_COMBB @t3418 @t784 @t3354)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t4394 @t1118) @t4338) @t4393))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 @t3418 @t3354) @t3256) @t757)))) (tptp.hAPP (tptp.hAPP @t4338 (tptp.hAPP @t3379 @t4393)) (tptp.hAPP @t3256 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3354 @t569) @t24) @t757)))))) % 45.25/45.45 (assume @p3252 (forall @t1953 (= @t4343 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t784) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t4401 @t784) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 (tptp.tc_fun @t4401 @t784) @t10) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t40 @t784)) @t24)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t784 @t4401) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4400 (tptp.tc_fun @t784 @t4401) @t10) (tptp.c_COMBC @t40 @t784 @t784)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 @t4400 @t10) (tptp.hAPP (tptp.c_COMBB @t783 @t4399 @t40) @t4391)) @t3413))) @t3412)))))) % 45.25/45.45 (assume @p3253 (forall @t4186 (=> @t675 (=> @t4381 (tptp.hBOOL (tptp.hAPP @t795 @t4185)))))) % 45.25/45.45 (assume @p3254 (forall (@list @t25 @t3210 @t40 @t10) (exists @t619 (and (tptp.c_Fun_Oinj__on @t10 @t3820 @t618 @t3477) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4384 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3820 @t618) @t3477)) (tptp.hAPP (tptp.hAPP @t4346 @t3210) @t25))))))) % 45.25/45.45 (assume @p3255 (forall (@list @t1 @t24 @t40 @t25 @t10 @t1118) (=> @t3643 (=> @t675 (=> @t776 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3183 (tptp.hAPP (tptp.hAPP @t4404 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t1118 @t4403) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3817 (tptp.tc_fun @t1118 @t4403) @t10) @t3184) @t1)) @t4402)) @t24)) @t4402) @t25) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t1118 @t783 @t3182) (tptp.hAPP @t3777 @t1)) @t4402) @t4343))))))) % 45.25/45.45 (assume @p3256 (forall @t781 (=> @t675 (=> @t4405 (tptp.hBOOL (tptp.hAPP @t786 @t4343)))))) % 45.25/45.45 (assume @p3257 (forall @t4407 (=> @t3643 (=> @t675 (=> @t776 (= (tptp.hAPP (tptp.hAPP @t3640 (tptp.hAPP (tptp.hAPP @t4404 (tptp.hAPP (tptp.hAPP @t4406 @t3641) @t2)) @t24)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t783 @t1118) @t3778) @t4343))))))) % 45.25/45.45 (assume @p3258 (forall @t4407 (=> @t1124 (=> @t675 (=> @t776 (= (tptp.hAPP (tptp.hAPP @t1119 (tptp.hAPP @t4408 @t24)) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t783 @t1118) @t3778) @t4343))))))) % 45.25/45.45 (assume @p3259 (forall @t781 (=> @t675 (=> @t776 (= (tptp.hAPP @t4367 @t4343) (tptp.hAPP (tptp.hAPP @t1087 (tptp.hAPP @t4409 @t24)) @t25)))))) % 45.25/45.45 (assume @p3260 (forall (@list @t24 @t25 @t174 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4413 @t4343)) (not (forall @t7 (=> @t205 (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t4412 @t775)) (not (= @t174 @t4411)))))))))) % 45.25/45.45 (assume @p3261 (forall (@list @t1 @t1118 @t3354 @t2 @t10 @t40) (=> @t617 (=> (= (tptp.hAPP @t4418 (tptp.c_Orderings_Otop__class_Otop @t4397)) @t3582) (= (tptp.hAPP @t4417 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4416 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4415)))))) % 45.25/45.45 (assume @p3262 (forall (@list @t24 @t1 @t3354 @t1118 @t25 @t2 @t40 @t10) (=> @t691 (=> (tptp.c_Fun_Oinj__on @t1118 @t3354 @t1 @t24) (tptp.c_Fun_Oinj__on @t4414 @t4416 (tptp.c_Product__Type_Omap__pair @t10 @t40 @t1118 @t3354 @t2 @t1) (tptp.hAPP @t4421 (tptp.hAPP @t4419 @t24))))))) % 45.25/45.45 (assume @p3263 (forall (@list @t1 @t2 @t3354 @t1118 @t3421 @t171 @t153 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3783 @t3421)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4425 (tptp.hAPP (tptp.hAPP @t4424 @t579) @t4423)) (tptp.hAPP (tptp.c_Set_Oimage @t783 @t4398 @t4422) @t3421)))))) % 45.25/45.45 (assume @p3264 (forall (@list @t348 @t40 @t10) (= (tptp.hAPP @t4426 @t348) @t348))) % 45.25/45.45 (assume @p3265 (forall (@list @t49 @t1 @t2 @t3354 @t1118 @t10 @t40) (= (tptp.hAPP @t3935 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t1118 @t40 @t3354 @t10 @t2 @t1) @t49)) @t4046))) % 45.25/45.45 (assume @p3266 (forall (@list @t49 @t1 @t2 @t3354 @t1118 @t40 @t10) (= (tptp.hAPP @t3973 (tptp.hAPP @t4427 @t49)) @t4048))) % 45.25/45.45 (assume @p3267 (forall (@list @t171 @t153 @t1 @t2 @t40 @t3354 @t10 @t1118) (= (tptp.hAPP @t4427 (tptp.hAPP (tptp.hAPP @t4424 @t153) @t171)) (tptp.hAPP (tptp.hAPP @t3413 @t579) @t4423)))) % 45.25/45.45 (assume @p3268 (forall (@list @t1 @t2 @t40 @t10 @t3354 @t1118) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4398 @t1118 @t783 @t4047) @t4422) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t1118 @t783 @t2) @t3973)))) % 45.25/45.45 (assume @p3269 (forall (@list @t749 @t761 @t1 @t2 @t40 @t10 @t3354 @t1118 @t3948 @t3353) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4428 @t4398 @t783 (tptp.c_Product__Type_Omap__pair @t3353 @t1118 @t3948 @t3354 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t10 @t3353 @t40 @t3948 @t761 @t749)) (tptp.c_Product__Type_Omap__pair @t10 @t1118 @t40 @t3354 (tptp.hAPP (tptp.c_Fun_Ocomp @t3353 @t1118 @t10 @t2) @t761) (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t3354 @t40 @t1) @t749))))) % 45.25/45.45 (assume @p3270 (forall (@list @t4429 @t4430 @t3948 @t3136 @t3138 @t3353 @t3354 @t40 @t1118 @t10) (= (tptp.c_Product__Type_Omap__pair @t10 @t1118 @t40 @t3354 (tptp.hAPP (tptp.c_Fun_Ocomp @t3353 @t1118 @t10 @t3138) @t3136) (tptp.hAPP (tptp.c_Fun_Ocomp @t3948 @t3354 @t40 @t4430) @t4429)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4428 @t4398 @t783 (tptp.c_Product__Type_Omap__pair @t3353 @t1118 @t3948 @t3354 @t3138 @t4430)) (tptp.c_Product__Type_Omap__pair @t10 @t3353 @t40 @t3948 @t3136 @t4429))))) % 45.25/45.45 (assume @p3271 (forall (@list @t4431 @t749 @t761 @t3948 @t3353 @t1 @t2 @t40 @t3354 @t10 @t1118) (= (tptp.hAPP @t4427 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3353 @t1118 @t3948 @t3354 @t761 @t749) @t4431)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3353 @t10 @t3948 @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t10 @t3353 @t2) @t761) (tptp.hAPP (tptp.c_Fun_Ocomp @t3354 @t40 @t3948 @t1) @t749)) @t4431)))) % 45.25/45.45 (assume @p3272 (forall (@list @t1 @t2 @t40 @t10 @t1118 @t3354) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4432 @t1118 @t783 @t4043) (tptp.c_Product__Type_Omap__pair @t10 @t3354 @t40 @t1118 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t1118 @t783 @t1) @t3972)))) % 45.25/45.45 (assume @p3273 (forall (@list @t1 @t2 @t3354 @t40 @t1118 @t10) (= @t4422 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t4398) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4435 @t4434) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4433 (tptp.tc_fun @t4435 @t4434) @t10) (tptp.c_COMBB @t3354 @t4398 @t40)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1118 @t4433 @t10) @t4424) @t2))) @t1))))) % 45.25/45.45 (assume @p3274 (forall (@list @t4436 @t24 @t1 @t1118 @t3354 @t805 @t25 @t2 @t10 @t40) (=> @t4437 (=> (= (tptp.hAPP @t4418 @t24) @t4436) (= (tptp.hAPP @t4417 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t40 @t3354) @t25) (tptp.hAPP (tptp.c_COMBK @t4397 @t40) @t24))) (tptp.hAPP (tptp.hAPP @t4420 @t805) (tptp.hAPP @t4419 @t4436))))))) % 45.25/45.45 (assume @p3275 (forall (@list @t3421 @t1 @t2 @t3354 @t1118 @t174 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4413 (tptp.hAPP (tptp.c_Set_Oimage @t4398 @t783 @t4427) @t3421))) (not (forall @t633 (=> (= @t174 (tptp.hAPP (tptp.hAPP @t3413 @t5) (tptp.hAPP @t1 @t630))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4425 (tptp.hAPP (tptp.hAPP @t4424 @t3) @t630)) @t3421))))))))) % 45.25/45.45 (assume @p3276 (forall @t4186 (= @t4439 (and @t4381 @t4438)))) % 45.25/45.45 (assume @p3277 (forall @t4455 (=> (not @t4454) (= @t4452 @t4447)))) % 45.25/45.45 (assume @p3278 (forall @t4461 (=> @t4460 @t4458))) % 45.25/45.45 (assume @p3279 (forall @t4468 (=> (or @t4467 @t4466) (tptp.hBOOL (tptp.hAPP @t673 @t4464))))) % 45.25/45.45 (assume @p3280 (forall @t1287 (tptp.hBOOL (tptp.hAPP @t1128 (tptp.hAPP @t4446 (tptp.hAPP @t4441 @t160)))))) % 45.25/45.45 (assume @p3281 (forall @t1287 (tptp.hBOOL (tptp.hAPP @t1128 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4440 @t1080) @t160)))))) % 45.25/45.45 (assume @p3282 (forall @t4473 (= (tptp.hAPP @t4472 (tptp.hAPP @t3793 (tptp.hAPP (tptp.hAPP @t3288 @t4471) @t55))) (tptp.hAPP @t4470 (tptp.hAPP @t3256 (tptp.hAPP @t4469 @t55)))))) % 45.25/45.45 (assume @p3283 (forall @t4473 (= (tptp.hAPP @t4472 (tptp.hAPP @t3793 (tptp.hAPP (tptp.hAPP @t4356 @t4471) @t55))) (tptp.hAPP @t4470 (tptp.hAPP @t4474 @t55))))) % 45.25/45.45 (assume @p3284 (forall @t4011 (= @t4479 @t4475))) % 45.25/45.45 (assume @p3285 (forall @t4482 (= (tptp.hAPP @t4309 @t4481) (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4480 @t58) @t2))))) % 45.25/45.45 (assume @p3286 (forall @t4483 (=> @t4458 @t4460))) % 45.25/45.45 (assume @p3287 (forall @t4483 (= @t4458 @t4460))) % 45.25/45.45 (assume @p3288 (forall @t53 (= (tptp.hAPP @t4456 @t3594) @t25))) % 45.25/45.45 (assume @p3289 (forall @t4483 (= (tptp.hAPP @t493 @t4457) (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4484 (tptp.hAPP @t4477 @t3564))) @t58))))) % 45.25/45.45 (assume @p3290 (forall @t4468 (= (tptp.hBOOL (tptp.hAPP @t673 @t4486)) (and @t4467 @t4466)))) % 45.25/45.45 (assume @p3291 (forall @t4011 (= @t4457 @t58))) % 45.25/45.45 (assume @p3292 (forall @t4468 (= @t4464 (tptp.hAPP (tptp.hAPP @t246 @t4457) @t4465)))) % 45.25/45.45 (assume @p3293 (forall @t4468 (= @t4486 (tptp.hAPP (tptp.hAPP @t239 @t4457) @t4465)))) % 45.25/45.45 (assume @p3294 (forall @t4011 (= (= @t142 @t4457) @t4488))) % 45.25/45.45 (assume @p3295 (forall @t4011 (= (= @t4457 @t142) @t4488))) % 45.25/45.45 (assume @p3296 (forall @t144 (= @t142 (tptp.hAPP @t4456 @t4490)))) % 45.25/45.45 (assume @p3297 (forall @t53 (tptp.c_Relation_Orefl__on @t10 @t25 @t4180))) % 45.25/45.45 (assume @p3298 (forall @t144 (= @t143 (tptp.hAPP @t4456 (tptp.hAPP @t4489 tptp.c_fTrue))))) % 45.25/45.45 (assume @p3299 (forall @t541 (= @t504 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4485 @t3564)) @t3595))))) % 45.25/45.45 (assume @p3300 (forall @t33 (= @t251 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4485 @t3594)) @t3595))))) % 45.25/45.45 (assume @p3301 (forall @t33 (= @t256 @t4491))) % 45.25/45.45 (assume @p3302 (forall (@list @t58 @t25 @t49 @t10) (= (tptp.hBOOL (tptp.hAPP @t842 @t4492)) (and @t843 @t61)))) % 45.25/45.45 (assume @p3303 (forall @t4461 (and (=> @t4460 (= @t4493 @t494)) (=> @t4494 (= @t4493 @t142))))) % 45.25/45.45 (assume @p3304 (forall @t4461 (and (=> @t4460 (= @t4495 @t494)) (=> @t4494 (= @t4495 @t142))))) % 45.25/45.45 (assume @p3305 (forall @t154 (= @t4496 @t494))) % 45.25/45.45 (assume @p3306 (forall @t154 (= (tptp.hAPP @t4456 @t3552) @t494))) % 45.25/45.45 (assume @p3307 (forall @t33 (= @t693 (tptp.hAPP @t4456 (tptp.hAPP @t4301 (tptp.hAPP @t4477 @t3595)))))) % 45.25/45.45 (assume @p3308 (forall @t4011 (=> @t4467 (= (tptp.hBOOL (tptp.hAPP @t673 @t4479)) @t770)))) % 45.25/45.45 (assume @p3309 (forall @t541 (= @t504 (tptp.hAPP (tptp.hAPP @t239 @t4496) @t24)))) % 45.25/45.45 (assume @p3310 (forall @t53 (= @t199 (tptp.hAPP @t4456 (tptp.hAPP @t4477 @t3594))))) % 45.25/45.45 (assume @p3311 (forall @t4329 (= @t4318 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t569 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 (tptp.tc_fun @t569 tptp.tc_HOL_Obool) @t10) @t864) @t2)) @t24))))) % 45.25/45.45 (assume @p3312 (forall @t4468 (= (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4484 @t58)) @t55)) (tptp.hAPP (tptp.hAPP @t239 @t4475) @t4465)))) % 45.25/45.45 (assume @p3313 (forall @t2846 (tptp.hBOOL (tptp.hAPP @t1128 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4445 (tptp.hAPP @t4444 @t58)) @t4448)))))) % 45.25/45.45 (assume @p3314 (forall @t144 (tptp.c_Relation_Orefl__on @t10 @t142 @t3742))) % 45.25/45.45 (assume @p3315 (forall @t4498 (=> @t4439 (=> @t4497 (tptp.c_Relation_Orefl__on @t10 @t251 @t4176))))) % 45.25/45.45 (assume @p3316 (forall @t4498 (=> @t4439 (=> @t4497 (tptp.c_Relation_Orefl__on @t10 @t256 @t4501))))) % 45.25/45.45 (assume @p3317 (forall (@list @t3421 @t2 @t1690 @t40 @t525 @t10 @t1118) (=> @t1124 (=> @t979 (=> @t4509 (= (tptp.hAPP (tptp.hAPP @t1119 (tptp.hAPP @t4408 @t4508)) @t525) (tptp.hAPP (tptp.hAPP @t1120 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t40 @t27 @t1118) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t1118) (tptp.tc_fun @t27 @t1118) @t40) @t1119) (tptp.hAPP (tptp.c_COMBC @t10 @t40 @t1118) @t2))) (tptp.hAPP @t4504 (tptp.hAPP (tptp.hAPP @t3309 @t4503) @t4502)))) @t1690))))))) % 45.25/45.45 (assume @p3318 (forall (@list @t525 @t1 @t2 @t58 @t10 @t40) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 (tptp.hAPP (tptp.hAPP @t3403 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t40 @t10 @t3325) (tptp.hAPP @t4332 @t58)) @t2)) @t1)) @t525) (tptp.hAPP (tptp.hAPP @t239 (tptp.hAPP @t568 (tptp.hAPP @t4510 @t4481))) (tptp.hAPP @t1558 (tptp.hAPP @t4510 (tptp.hAPP @t4469 (tptp.hAPP (tptp.hAPP @t4289 tptp.c_fNot) @t58)))))))) % 45.25/45.45 (assume @p3319 (forall (@list @t445 @t2 @t10 @t25) (=> (= @t25 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t2) (tptp.hAPP @t4446 (tptp.hAPP @t4441 @t445)))) @t675))) % 45.25/45.45 (assume @p3320 (forall @t4204 (=> @t4439 (=> @t852 @t4512)))) % 45.25/45.45 (assume @p3321 (forall @t4214 (=> @t4439 (=> @t4209 @t843)))) % 45.25/45.45 (assume @p3322 (forall @t4214 (=> @t4439 (=> @t4209 @t887)))) % 45.25/45.45 (assume @p3323 (forall @t3597 (=> @t1104 (=> @t675 (= (tptp.hAPP @t1060 @t4491) @t3596))))) % 45.25/45.45 (assume @p3324 (forall (@list @t2 @t1118 @t1 @t525 @t10 @t40) (=> @t1104 (=> @t979 (= (tptp.hAPP @t1102 @t525) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1118 @t40) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t40 @t1118) @t1102) (tptp.hAPP (tptp.hAPP @t3452 @t4456) (tptp.hAPP (tptp.hAPP @t3452 @t4503) (tptp.hAPP (tptp.c_COMBC @t10 @t1118 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1118 @t3186 @t10) tptp.c_fequal) @t2)))))) (tptp.hAPP @t3588 @t525))))))) % 45.25/45.45 (assume @p3325 (forall (@list @t153 @t2919 @t10 @t40) (= @t4154 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4128 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3820 @t4513 @t10) @t4144) @t4152)) @t2919))))) % 45.25/45.45 (assume @p3326 (forall (@list @t1 @t2 @t58 @t25 @t10 @t40) (=> @t1104 (=> @t675 (= (tptp.hAPP (tptp.hAPP @t1059 (tptp.hAPP (tptp.hAPP @t3298 (tptp.hAPP (tptp.hAPP @t3554 (tptp.hAPP @t3553 @t58)) @t2)) @t1)) @t25) (tptp.hAPP (tptp.hAPP @t1106 (tptp.hAPP @t1060 @t4492)) (tptp.hAPP @t1102 (tptp.hAPP @t255 @t4475)))))))) % 45.25/45.45 (assume @p3327 (forall @t4455 (=> @t4454 (= (tptp.hAPP tptp.c_Nat_OSuc @t4452) @t4447)))) % 45.25/45.45 (assume @p3328 (forall @t4455 (=> @t4454 (not (= @t4447 @t1700))))) % 45.25/45.45 (assume @p3329 (forall @t4514 (=> @t4381 (=> @t4438 @t4439)))) % 45.25/45.45 (assume @p3330 (forall (@list @t160 @t3421 @t1690 @t40 @t525 @t10) (=> @t979 (=> @t4509 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t890 @t1690)) (= (tptp.hAPP @t1528 (tptp.hAPP @t4456 (tptp.hAPP @t4503 @t4515))) @t160))) (= (tptp.hAPP (tptp.hAPP @t1087 (tptp.hAPP @t4409 @t4508)) @t525) (tptp.hAPP @t1744 (tptp.hAPP @t1535 @t1690)))))))) % 45.25/45.45 (assume @p3331 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hAPP @t583 @t732) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4519 (tptp.hAPP @t4190 (tptp.hAPP @t4518 @t583)))) @t3594)))))))))) % 45.25/45.45 (assume @p3332 (forall @t53 (=> @t675 (tptp.hBOOL (tptp.hAPP @t795 @t4523))))) % 45.25/45.45 (assume @p3333 (forall @t53 (= (tptp.hAPP @t156 @t199) (tptp.hAPP @t4522 (tptp.hAPP (tptp.hAPP @t4524 @t4533) (tptp.hAPP (tptp.hAPP @t4532 (tptp.hAPP @t4531 (tptp.hAPP @t4529 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t3445 @t111) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 (tptp.tc_fun @t3445 @t111) @t27) @t4525) tptp.c_fequal)) @t184)))) (tptp.hAPP (tptp.hAPP @t4524 @t882) @t156))))))) % 45.25/45.45 (assume @p3334 (forall @t53 (= @t158 @t4523))) % 45.25/45.45 (assume @p3335 (forall (@list @t55 @t40 @t58 @t10) (=> @t4467 (= (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t4469 (tptp.hAPP @t4538 (tptp.hAPP (tptp.hAPP @t3309 @t4463) @t55))))) (forall @t938 (=> @t4536 (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t4469 (tptp.hAPP @t4535 @t630)))))))))) % 45.25/45.45 (assume @p3336 (forall @t4108 (=> @t4467 (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t4469 (tptp.hAPP @t4538 (tptp.hAPP (tptp.hAPP @t3459 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4189 @t3445 @t40) @t4300) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 @t4189 @t40) @t4188) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t44 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 @t4539 @t40) @t4480) tptp.c_fequal)) @t2)))) @t58)))))))) % 45.25/45.45 (assume @p3337 (forall @t788 (tptp.c_Fun_Oinj__on @t44 @t784 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t784 @t784 @t44) @t4472) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3418 @t784 @t44) @t3793) (tptp.hAPP @t4295 (tptp.hAPP (tptp.c_COMBC @t40 @t40 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t803))) % 45.25/45.45 (assume @p3338 (forall @t2695 (tptp.c_Nat__Transfer_Onat__set @t4541))) % 45.25/45.45 (assume @p3339 (forall @t144 (= @t4030 (tptp.hAPP (tptp.c_Set_OCollect @t4032) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t27 @t27 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4532 (tptp.hAPP @t4531 (tptp.hAPP @t4529 @t484))) @t673)))))) % 45.25/45.45 (assume @p3340 (forall (@list @t2 @t2919 @t10 @t40) (= @t4120 (tptp.hAPP @t4546 (tptp.hAPP @t4191 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4110 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4545 (tptp.tc_fun @t4110 @t27) @t10) (tptp.c_COMBC @t10 @t4110 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4543 @t4545 @t10) (tptp.hAPP (tptp.c_COMBB @t4022 @t4544 @t10) @t4023)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t44 @t4543) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4542 (tptp.tc_fun @t44 @t4543) @t10) (tptp.c_COMBB @t40 @t4022 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 @t4542 @t10) @t4021) @t2))) @t2)))) @t2919)))))) % 45.25/45.45 (assume @p3341 (forall @t2695 (= @t4541 (tptp.hAPP @t2761 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t58) @t2754)))))) % 45.25/45.45 (assume @p3342 (forall @t2695 (= (tptp.hAPP @t4446 @t58) (tptp.hAPP @t2714 (tptp.hAPP @t4540 (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t3653 @t58) tptp.c_Int_Onat))))))) % 45.25/45.45 (assume @p3343 (forall @t4550 (=> @t4549 (=> @t834 (=> @t833 (= (tptp.hAPP @t4547 @t992) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t4548))))))) % 45.25/45.45 (assume @p3344 (forall @t4550 (=> @t4549 (=> @t834 (=> @t833 (= (tptp.hAPP @t4547 @t988) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t4548))))))) % 45.25/45.45 (assume @p3345 (forall @t533 (=> @t4551 (=> @t675 (=> @t678 (= (tptp.hAPP @t345 @t964) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4519 (tptp.hAPP @t4190 (tptp.hAPP @t4518 @t345)))) @t3594)))))))))) % 45.25/45.45 (assume @p3346 (forall @t33 (=> @t4551 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (= (tptp.hAPP (tptp.hAPP @t291 @t964) @t1002) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP @t4560 (tptp.hAPP @t4559 (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t291))))) @t4554))))))))))))) % 45.25/45.45 (assume @p3347 (forall @t533 (=> @t4551 (=> @t675 (=> @t678 (= (tptp.hAPP @t342 @t966) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4519 (tptp.hAPP @t4190 (tptp.hAPP @t4518 @t342)))) @t3594)))))))))) % 45.25/45.45 (assume @p3348 (forall @t33 (=> @t4551 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (= (tptp.hAPP (tptp.hAPP @t294 @t966) @t999) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP @t4560 (tptp.hAPP @t4559 (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t294))))) @t4554))))))))))))) % 45.25/45.45 (assume @p3349 (forall @t533 (=> @t116 (=> @t675 (=> @t678 (= (tptp.hAPP @t651 @t669) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4519 (tptp.hAPP @t4190 (tptp.hAPP @t4518 @t651)))) @t3594)))))))))) % 45.25/45.45 (assume @p3350 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (= (tptp.hAPP (tptp.hAPP @t627 @t669) @t668) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP @t4560 (tptp.hAPP @t4559 (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t627))))) @t4554))))))))))))) % 45.25/45.45 (assume @p3351 (forall @t33 (=> @t116 (=> @t675 (=> @t678 (=> @t674 (=> @t677 (= (tptp.hAPP (tptp.hAPP @t551 @t732) @t735) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 (tptp.hAPP @t4456 (tptp.hAPP @t4521 (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP @t4560 (tptp.hAPP @t4559 (tptp.hAPP @t4557 (tptp.hAPP @t4555 @t551))))) @t4554))))))))))))) % 45.25/45.45 (assume @p3352 (forall @t1953 (= (tptp.c_Nitpick_Oprod @t10 @t40 @t25 @t24) (tptp.hAPP @t4472 (tptp.hAPP @t3793 @t4563))))) % 45.25/45.45 (assume @p3353 (forall @t4567 (= @t4566 (tptp.hAPP @t4565 (tptp.hAPP @t3824 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2442 @t2442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2906 @t3914 tptp.tc_Int_Oint) @t3629) @t4564)) @t2208)))))) % 45.25/45.45 (assume @p3354 (forall @t4567 (= @t4568 (tptp.hAPP @t4565 (tptp.hAPP @t3824 (tptp.hAPP (tptp.hAPP @t3823 (tptp.hAPP @t3632 @t4564)) @t2208)))))) % 45.25/45.45 (assume @p3355 (forall @t2920 (= @t4570 (tptp.c_Relation_Orefl__on @t10 @t143 @t4569)))) % 45.25/45.45 (assume @p3356 (forall (@list @t24 @t25 @t1 @t2 @t40 @t10 @t1118) (=> (tptp.class_Rings_Osemiring__0 @t1118) (=> (tptp.c_Fun_Oinj__on @t783 @t1118 (tptp.hAPP @t3777 @t4572) @t4366) (= (tptp.hAPP (tptp.hAPP @t3182 (tptp.hAPP (tptp.hAPP @t1119 @t2) @t25)) (tptp.hAPP (tptp.hAPP @t1120 @t1) @t24)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t1118 @t1118) (tptp.c_Fun_Oid @t1118)) (tptp.hAPP (tptp.c_Set_OCollect @t1118) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t1118) @t4520) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3418 @t27 @t1118) @t4580) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1118 @t3418 @t3418) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4577 (tptp.tc_fun @t3418 @t3418) @t1118) @t4356) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4576 @t4577 @t1118) (tptp.hAPP (tptp.c_COMBB @t4575 @t3285 @t10) @t4507)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3418 @t4576 @t1118) (tptp.hAPP (tptp.c_COMBB @t569 @t4575 @t10) @t4506)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1118 @t4574 @t3418) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4573 (tptp.tc_fun @t4574 @t3418) @t1118) (tptp.c_COMBB @t3817 @t569 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3186 @t4573 @t1118) (tptp.c_COMBB @t1118 tptp.tc_HOL_Obool @t40)) tptp.c_fequal))) @t4572))))) @t4563)))))))))) % 45.25/45.45 (assume @p3357 (forall (@list @t160 @t3421 @t545 @t40 @t3957 @t10) (=> @t4040 (=> (tptp.hBOOL (tptp.hAPP @t763 @t545)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t890 @t545)) (= (tptp.hAPP @t1528 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 (tptp.hAPP @t3422 @t3957))) @t4515))) (tptp.hAPP @t160 @t3)))) (= (tptp.hAPP (tptp.hAPP @t1087 (tptp.hAPP @t4409 (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t3240 (tptp.hAPP @t4507 (tptp.hAPP @t4506 (tptp.hAPP @t3239 @t545)))) @t3421)))) @t3957) (tptp.hAPP (tptp.hAPP @t3227 @t160) @t545))))))) % 45.25/45.45 (assume @p3358 (forall @t53 (tptp.c_Fun_Oinj__on @t10 @t10 @t4581 @t25))) % 45.25/45.45 (assume @p3359 (= @t3078 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 45.25/45.45 (assume @p3360 (forall @t3360 (=> (= @t3359 (tptp.hAPP @t4583 @t174)) @t3358))) % 45.25/45.45 (assume @p3361 (forall @t688 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t40 @t10 @t2) @t4581) @t2))) % 45.25/45.45 (assume @p3362 (forall (@list @t1 @t10 @t40) (= (tptp.hAPP @t4583 @t1) @t1))) % 45.25/45.45 (assume @p3363 (forall (@list @t4584 @t35) (= (tptp.hAPP @t4585 @t4584) @t4584))) % 45.25/45.45 (assume @p3364 (forall @t4587 (= (tptp.c_Product__Type_Oapsnd @t40 @t40 @t10 @t4582) @t4586))) % 45.25/45.45 (assume @p3365 (forall @t4259 (=> @t4570 (tptp.hBOOL (tptp.hAPP @t4588 @t49))))) % 45.25/45.45 (assume @p3366 (forall @t39 (= (tptp.hAPP @t4585 @t34) @t34))) % 45.25/45.45 (assume @p3367 (forall @t788 (= (tptp.c_Product__Type_Oapfst @t10 @t10 @t40 @t4581) @t4586))) % 45.25/45.45 (assume @p3368 (forall @t53 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t4581) @t25) @t25))) % 45.25/45.45 (assume @p3369 (forall @t788 (= (tptp.c_Product__Type_Omap__pair @t10 @t10 @t40 @t40 @t4581 @t4582) @t4586))) % 45.25/45.45 (assume @p3370 (forall @t788 (= @t4426 @t4586))) % 45.25/45.45 (assume @p3371 (forall @t3497 (= (tptp.hAPP @t4589 @t3496) @t3496))) % 45.25/45.45 (assume @p3372 (forall @t144 (= (tptp.hAPP @t4589 @t143) @t143))) % 45.25/45.45 (assume @p3373 (forall (@list @t757 @t2 @t40 @t10) (=> @t3943 (= (tptp.hAPP @t757 @t142) @t4582)))) % 45.25/45.45 (assume @p3374 (forall (@list @t2 @t10 @t1118 @t40) (= (tptp.c_Product__Type_Oapsnd @t40 @t1118 @t10 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t10 @t40 @t1118 @t4581 @t2)))) % 45.25/45.45 (assume @p3375 (forall (@list @t2 @t40 @t1118 @t10) (= (tptp.c_Product__Type_Oapfst @t10 @t1118 @t40 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t1118 @t40 @t40 @t2 @t4582)))) % 45.25/45.45 (assume @p3376 (forall @t788 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t783) @t3413) @t4586))) % 45.25/45.45 (assume @p3377 (forall @t4590 (=> @t1104 (=> @t710 (= @t1097 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t40 @t40) @t4582) @t601)))))) % 45.25/45.45 (assume @p3378 (forall @t4590 (=> @t1463 (=> @t710 (= @t2088 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t40 @t40) @t4582) @t601)))))) % 45.25/45.45 (assume @p3379 (forall @t53 (= @t675 (exists (@list @t1593 @t618) (= @t25 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t618) (tptp.hAPP @t4446 (tptp.hAPP @t4441 @t1593)))))))) % 45.25/45.45 (assume @p3380 (forall (@list @t3957 @t2919 @t40 @t1118 @t10) (= @t4601 (tptp.hAPP @t4472 (tptp.hAPP @t3793 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3187 @t569 @t10) (tptp.hAPP (tptp.c_COMBB @t3186 tptp.tc_HOL_Obool @t40) (tptp.c_HOL_OEx @t1118))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3187 @t3187) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4336 (tptp.tc_fun @t3187 @t3187) @t10) (tptp.c_COMBB @t3186 @t3186 @t40)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4599 @t4336 @t10) (tptp.c_COMBS @t1118 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3186 @t4599 @t10) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t1118) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4415 @t3186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4598 (tptp.tc_fun @t4415 @t3186) @t10) (tptp.c_COMBC @t1118 @t4415 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1118 @t4414) @t4598 @t10) (tptp.hAPP (tptp.c_COMBB @t4414 @t4597 @t1118) @t4596)) @t3839))) @t2919))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t4593 @t3186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4595 (tptp.tc_fun @t4593 @t3186) @t40) (tptp.c_COMBC @t1118 @t4593 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t1118 @t4591) @t4595 @t40) (tptp.hAPP (tptp.c_COMBB @t4591 @t4594 @t1118) @t4592)) (tptp.hAPP (tptp.c_COMBC @t1118 @t40 @t4591) @t4061)))) @t3957)))))))) % 45.25/45.45 (assume @p3381 (forall @t4605 (= (tptp.hAPP @t4604 @t4603) (tptp.hAPP @t4456 (tptp.hAPP @t4580 @t4602))))) % 45.25/45.45 (assume @p3382 (forall (@list @t3957 @t174 @t1118 @t2919 @t171 @t153 @t40 @t10) (=> @t4149 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3247 (tptp.hAPP (tptp.hAPP @t3245 @t171) @t174)) @t3957)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4596 (tptp.hAPP (tptp.hAPP @t3839 @t153) @t174)) @t4607)))))) % 45.25/45.45 (assume @p3383 (forall @t4609 (=> @t4149 (tptp.hBOOL (tptp.hAPP @t905 @t4608))))) % 45.25/45.45 (assume @p3384 (forall (@list @t3957 @t2919 @t3210 @t3354 @t40 @t1118 @t10) (= (tptp.hAPP (tptp.hAPP @t4600 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3354 @t4415) @t3210) @t2919)) @t3957) (tptp.hAPP @t4610 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3354 @t4593 @t784) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4415 (tptp.tc_fun @t4593 @t784) @t3354) @t4600) @t2919)) @t3957))))) % 45.25/45.45 (assume @p3385 (forall (@list @t2919 @t3210 @t3354 @t3957 @t40 @t1118 @t10) (= (tptp.hAPP @t4611 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3354 @t4593) @t3210) @t2919)) (tptp.hAPP @t4610 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4593 @t784 @t3354) @t4611) @t2919))))) % 45.25/45.45 (assume @p3386 (forall @t4613 (= (tptp.hAPP @t4612 (tptp.c_Orderings_Obot__class_Obot @t4593)) @t3412))) % 45.25/45.45 (assume @p3387 (forall @t4613 (= (tptp.hAPP (tptp.hAPP @t4600 (tptp.c_Orderings_Obot__class_Obot @t4415)) @t3421) @t3412))) % 45.25/45.45 (assume @p3388 (forall (@list @t1690 @t525 @t3421 @t40 @t1118 @t10) (= (tptp.hAPP @t4612 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4593) @t525) @t1690)) (tptp.hAPP (tptp.hAPP @t3437 (tptp.hAPP @t4612 @t525)) (tptp.hAPP @t4612 @t1690))))) % 45.25/45.45 (assume @p3389 (forall (@list @t3421 @t1690 @t525 @t40 @t1118 @t10) (= (tptp.hAPP (tptp.hAPP @t4600 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4415) @t525) @t1690)) @t3421) (tptp.hAPP (tptp.hAPP @t3437 (tptp.hAPP (tptp.hAPP @t4600 @t525) @t3421)) (tptp.hAPP (tptp.hAPP @t4600 @t1690) @t3421))))) % 45.25/45.45 (assume @p3390 (forall (@list @t1690 @t525 @t3421 @t3354 @t40 @t1118 @t10) (= (tptp.hAPP (tptp.hAPP @t4600 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t3354 @t1118) @t3421) @t525)) @t1690) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t3354 @t40) @t3421) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t3354 @t1118 @t40) @t525) @t1690))))) % 45.25/45.45 (assume @p3391 (forall (@list @t3957 @t4614 @t1118 @t2919 @t4141 @t40 @t10) (=> @t4142 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4616 @t4614) @t3957)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4615 (tptp.hAPP (tptp.hAPP @t4606 @t4141) @t4614)) @t4607)))))) % 45.25/45.45 (assume @p3392 (forall @t53 (= (tptp.hAPP @t4617 @t4180) @t25))) % 45.25/45.45 (assume @p3393 (forall @t65 (=> (= (tptp.hAPP @t4619 @t24) @t3742) (=> @t4620 (= (tptp.hAPP @t4619 (tptp.hAPP (tptp.hAPP @t4174 @t24) @t62)) @t3742))))) % 45.25/45.45 (assume @p3394 (forall @t393 (=> @t4620 (=> (= (tptp.hAPP (tptp.hAPP @t4618 @t24) @t62) @t3742) (= (tptp.hAPP (tptp.hAPP @t4618 (tptp.hAPP (tptp.hAPP @t4174 @t25) @t24)) @t62) @t3742))))) % 45.25/45.45 (assume @p3395 (forall (@list @t525 @t10 @t40) (= (tptp.hAPP @t4604 (tptp.c_Complete__Lattice_OSup__class_OSup @t4128 @t525)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4128 @t27) @t525) @t4604)))) % 45.25/45.45 (assume @p3396 (forall @t4587 (= (tptp.hAPP @t4604 @t4621) @t142))) % 45.25/45.45 (assume @p3397 (forall @t4623 (= (= @t4622 @t142) (= @t2919 @t4621)))) % 45.25/45.45 (assume @p3398 (forall (@list @t62 @t3957 @t1118 @t24 @t25 @t2919 @t40 @t10) (=> @t4386 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4616 @t3957) (tptp.hAPP (tptp.hAPP @t4369 @t24) (tptp.hAPP @t4368 @t62)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4615 @t4607) (tptp.hAPP @t4421 (tptp.hAPP @t4419 @t62)))))))) % 45.25/45.45 (assume @p3399 (forall @t3261 (= (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP @t4129 @t25) @t24)) (tptp.hAPP (tptp.hAPP @t239 @t4625) @t4624)))) % 45.25/45.45 (assume @p3400 (forall @t4627 (=> @t4626 (tptp.hBOOL (tptp.hAPP @t763 @t4608))))) % 45.25/45.45 (assume @p3401 (forall @t4125 (= (tptp.hAPP (tptp.c_Set_Oimage @t3820 @t10 @t3935) @t3421) (tptp.hAPP @t4604 @t3421)))) % 45.25/45.45 (assume @p3402 (forall @t4628 (= (tptp.hBOOL (tptp.hAPP @t851 @t4622)) (exists @t938 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4144 (tptp.hAPP (tptp.hAPP @t3819 @t630) @t153)) @t2919)))))) % 45.25/45.45 (assume @p3403 (forall (@list @t2919 @t171 @t153 @t10 @t40) (= (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3820) @t4153) @t2919)) (tptp.hAPP @t491 @t4622)))) % 45.25/45.45 (assume @p3404 (forall @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP @t4629 @t25) @t24))) (tptp.hAPP (tptp.hAPP @t246 @t4625) @t4624))))) % 45.25/45.45 (assume @p3405 (forall @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP (tptp.hAPP @t686 @t4625) @t4624)) (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4128) @t25) @t24)))))) % 45.25/45.45 (assume @p3406 (forall @t3429 (=> @t4636 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4634 (tptp.hAPP (tptp.hAPP @t4633 @t4092) (tptp.hAPP (tptp.hAPP @t4632 (tptp.c_Wellfounded_Omax__ext @t10 @t525)) @t4631))) @t4092))))) % 45.25/45.45 (assume @p3407 (forall @t3429 (=> @t4636 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4634 (tptp.hAPP (tptp.hAPP @t4633 @t4637) (tptp.hAPP (tptp.hAPP @t4632 (tptp.c_Wellfounded_Omin__ext @t10 @t525)) @t4631))) @t4637))))) % 45.25/45.45 (assume @p3408 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t10 @t40 @t4638) @t49)) (tptp.hBOOL (tptp.hAPP @t865 @t4608))))) % 45.25/45.45 (assume @p3409 (forall (@list @t2919 @t40 @t171 @t10) (=> (tptp.hBOOL (tptp.hAPP @t863 @t4622)) (not (forall @t7 (not @t4145)))))) % 45.25/45.45 (assume @p3410 (forall (@list @t99 @t49 @t3957 @t2919 @t1118 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t10 @t40 @t1118 @t4638 (tptp.hAPP @t3252 @t3957)) @t49) @t99)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4596 @t3840) @t4607))))) % 45.25/45.45 (assume @p3411 (forall (@list @t1118 @t40 @t10 @t174 @t3957 @t171 @t153 @t2919) (=> @t3901 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3957 @t171) @t174)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4639 @t153) @t174)))))) % 45.25/45.45 (assume @p3412 (forall @t4641 (=> @t3901 (tptp.hBOOL (tptp.hAPP @t4640 @t171))))) % 45.25/45.45 (assume @p3413 (forall (@list @t2099 @t2103 @t3957 @t2919 @t1118 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4639 @t2103) @t2099)) (exists @t1929 (and (tptp.hBOOL (tptp.hAPP @t4642 @t1926)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3957 @t1926) @t2099))))))) % 45.25/45.45 (assume @p3414 (forall (@list @t2102 @t2919 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP @t4640 @t2102)) (exists @t1122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2919 @t1038) @t2102)))))) % 45.25/45.45 (assume @p3415 (forall @t3429 (=> @t4643 (=> @t4636 (tptp.c_FunDef_Oreduction__pair @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3740 @t3740) @t3421) @t525)))))) % 45.25/45.45 (assume @p3416 (forall @t4294 (= (tptp.hAPP @t4645 @t4644) (tptp.hAPP @t4456 (tptp.hAPP @t4580 @t58))))) % 45.25/45.45 (assume @p3417 (forall @t154 (= (tptp.c_HOL_OThe @t10 @t3564) @t153))) % 45.25/45.45 (assume @p3418 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 45.25/45.45 (assume @p3419 (forall @t144 (tptp.c_Wellfounded_Owf @t10 @t3742))) % 45.25/45.45 (assume @p3420 (forall @t4648 (=> @t4647 (tptp.c_Wellfounded_Owf @t40 @t4646)))) % 45.25/45.45 (assume @p3421 (forall (@list @t4649 @t40 @t4650 @t10) (=> (tptp.c_Wellfounded_Owf @t10 @t4650) (=> (tptp.c_Wellfounded_Owf @t40 @t4649) (tptp.c_Wellfounded_Owf @t783 (tptp.c_Wellfounded_Olex__prod @t10 @t40 @t4650 @t4649)))))) % 45.25/45.45 (assume @p3422 (forall @t771 (tptp.c_Wellfounded_Owf @t10 @t3930))) % 45.25/45.45 (assume @p3423 (forall @t4609 (=> @t4149 @t4652))) % 45.25/45.45 (assume @p3424 (forall @t4169 (= @t4643 (tptp.c_Wellfounded_Owf @t10 @t4653)))) % 45.25/45.45 (assume @p3425 (forall @t2920 (=> @t4647 (tptp.c_Wellfounded_Owf @t27 (tptp.c_Wellfounded_Omin__ext @t10 @t2919))))) % 45.25/45.45 (assume @p3426 (forall @t4654 (=> @t4647 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t1072) @t2919)) (tptp.c_Wellfounded_Owf @t10 @t1072))))) % 45.25/45.45 (assume @p3427 (forall @t3903 (=> @t4647 (not @t4512)))) % 45.25/45.45 (assume @p3428 (forall (@list @t49 @t153 @t2919 @t10) (=> @t4647 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4024 @t49)) @t2919)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t3931 @t153)) @t2919))))))) % 45.25/45.45 (assume @p3429 (forall @t2920 (=> @t4647 (tptp.c_Wellfounded_Owf @t27 (tptp.c_Wellfounded_Omax__ext @t10 @t2919))))) % 45.25/45.45 (assume @p3430 (tptp.c_Wellfounded_Owf @t3813 tptp.c_FunDef_Opair__less)) % 45.25/45.45 (assume @p3431 (forall @t144 (tptp.c_Wellfounded_Owf @t27 @t4030))) % 45.25/45.45 (assume @p3432 (forall (@list @t2 @t3421 @t10) (=> @t4643 (tptp.c_Wellfounded_Owf @t10 @t3999)))) % 45.25/45.45 (assume @p3433 (forall @t4655 (=> @t4647 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4500 @t4141))))) % 45.25/45.45 (assume @p3434 (forall @t4655 (=> @t4647 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4499 @t4141) @t2919))))) % 45.25/45.45 (assume @p3435 (forall @t53 (= (tptp.hAPP @t4656 @t4180) @t25))) % 45.25/45.45 (assume @p3436 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4658 (tptp.hAPP @t4657 @t1323)))) % 45.25/45.45 (assume @p3437 (forall @t4567 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4568))) % 45.25/45.45 (assume @p3438 (forall @t4567 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4566))) % 45.25/45.45 (assume @p3439 (forall @t4173 (=> @t4647 (=> (tptp.c_Wellfounded_Owf @t10 @t3957) (=> (= (tptp.hAPP (tptp.hAPP @t246 @t4659) (tptp.hAPP @t4617 @t3957)) @t142) (tptp.c_Wellfounded_Owf @t10 @t4176)))))) % 45.25/45.45 (assume @p3440 (forall @t2920 (= @t4647 (forall @t7 @t4268)))) % 45.25/45.45 (assume @p3441 (forall @t4259 (=> @t4647 @t4257))) % 45.25/45.45 (assume @p3442 (forall @t4169 (=> (= @t4653 @t3742) @t4643))) % 45.25/45.45 (assume @p3443 (forall @t3429 (= @t4662 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4174 (tptp.hAPP (tptp.hAPP @t4174 @t4653) (tptp.hAPP (tptp.hAPP @t4618 @t525) @t3421))) @t525))))) % 45.25/45.45 (assume @p3444 (forall @t788 (= (tptp.hAPP @t4645 @t3412) @t142))) % 45.25/45.45 (assume @p3445 (forall @t4627 (= (= @t4651 @t142) (= @t2919 @t3412)))) % 45.25/45.45 (assume @p3446 (forall @t4664 (=> @t4663 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4651) (tptp.hAPP @t4645 @t3957)))))) % 45.25/45.45 (assume @p3447 (forall @t1953 (= (tptp.hAPP @t4645 (tptp.hAPP (tptp.hAPP @t3437 @t25) @t24)) (tptp.hAPP (tptp.hAPP @t239 @t4666) @t4665)))) % 45.25/45.45 (assume @p3448 (forall @t4627 (=> @t4626 (tptp.hBOOL (tptp.hAPP @t673 @t4651))))) % 45.25/45.45 (assume @p3449 (forall @t4667 (= (tptp.hAPP (tptp.c_Set_Oimage @t783 @t10 @t3973) @t3421) (tptp.hAPP @t4645 @t3421)))) % 45.25/45.45 (assume @p3450 (forall @t2920 (= @t4647 (not (exists @t619 (forall @t1970 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP @t618 @t3149)) (tptp.hAPP @t618 @t1966))) @t2919)))))))) % 45.25/45.45 (assume @p3451 (forall (@list @t25 @t3421 @t10) (=> @t4643 (=> (tptp.hBOOL (tptp.hAPP @t31 (tptp.hAPP @t4668 @t25))) @t151)))) % 45.25/45.45 (assume @p3452 (forall @t3429 (=> @t4643 (=> @t4669 (=> @t4636 @t4662))))) % 45.25/45.45 (assume @p3453 (forall @t4628 (= @t4652 (exists @t938 @t4670)))) % 45.25/45.45 (assume @p3454 (forall @t144 (=> @t4010 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4546 (tptp.hAPP @t4191 @t435)))))) % 45.25/45.45 (assume @p3455 (forall @t4609 (= (tptp.hAPP @t4645 (tptp.hAPP @t4392 @t2919)) (tptp.hAPP @t493 @t4651)))) % 45.25/45.45 (assume @p3456 (forall @t4011 (= @t4107 (and (tptp.c_Wellfounded_Owf @t10 @t4671) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP (tptp.hAPP @t4618 @t4671) @t4672)) @t4671)))))) % 45.25/45.45 (assume @p3457 (forall (@list @t525 @t3421 @t58 @t10) (=> @t4107 (=> (tptp.hBOOL (tptp.hAPP @t4674 @t4671)) (=> (tptp.hBOOL (tptp.hAPP @t4673 @t4672)) (=> @t4669 @t4662)))))) % 45.25/45.45 (assume @p3458 (forall @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t4645 (tptp.hAPP (tptp.hAPP @t3440 @t25) @t24))) (tptp.hAPP (tptp.hAPP @t246 @t4666) @t4665))))) % 45.25/45.45 (assume @p3459 (forall @t1953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP (tptp.hAPP @t686 @t4666) @t4665)) (tptp.hAPP @t4645 (tptp.hAPP (tptp.hAPP @t4355 @t25) @t24)))))) % 45.25/45.45 (assume @p3460 (forall @t2920 (= @t4165 (tptp.hAPP (tptp.hAPP @t239 @t4659) @t4675)))) % 45.25/45.45 (assume @p3461 (forall @t4648 (=> @t4647 (=> @t684 (tptp.c_Wellfounded_Owf @t40 (tptp.hAPP (tptp.c_Set_Oimage @t3739 @t4022 (tptp.c_Product__Type_Omap__pair @t10 @t40 @t10 @t40 @t2 @t2)) @t2919)))))) % 45.25/45.45 (assume @p3462 (forall (@list @t525 @t40 @t10) (= (tptp.hAPP @t4645 (tptp.c_Complete__Lattice_OSup__class_OSup @t784 @t525)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t784 @t27) @t525) @t4645)))) % 45.25/45.45 (assume @p3463 (forall @t195 (= (tptp.c_HOL_OThe @t10 @t4288) @t49))) % 45.25/45.45 (assume @p3464 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t10 @t40 @t4638) @t49)) (tptp.hBOOL (tptp.hAPP @t842 @t4651))))) % 45.25/45.45 (assume @p3465 (forall @t2920 (=> @t4647 (tptp.c_Wellfounded_Owf @t4677 @t4676)))) % 45.25/45.45 (assume @p3466 (forall @t4628 (=> @t4652 (not (forall @t938 (not @t4670)))))) % 45.25/45.45 (assume @p3467 (forall @t4641 (=> @t3901 (tptp.hBOOL (tptp.hAPP @t4678 @t153))))) % 45.25/45.45 (assume @p3468 (forall (@list @t2103 @t2919 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP @t4678 @t2103)) (exists @t2482 (tptp.hBOOL (tptp.hAPP @t4642 @t2480)))))) % 45.25/45.45 (assume @p3469 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4658 (tptp.hAPP @t4657 (tptp.hAPP (tptp.hAPP @t4679 (tptp.hAPP @t4440 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 45.25/45.45 (assume @p3470 (forall @t2920 (=> @t4647 (tptp.c_Wellfounded_Owf @t4677 @t4680)))) % 45.25/45.45 (assume @p3471 (forall @t4683 (=> @t4647 (tptp.c_Wellfounded_Owf @t4677 @t4682)))) % 45.25/45.45 (assume @p3472 (forall @t2920 (= @t4680 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4685) @t1349) @t4681)))) % 45.25/45.45 (assume @p3473 (forall @t2920 (= (tptp.hAPP @t4681 @t1700) (tptp.c_Orderings_Obot__class_Obot @t4685)))) % 45.25/45.45 (assume @p3474 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 45.25/45.45 (assume @p3475 (forall (@list @t10 @t3421 @t40 @t58) (=> (forall @t7 (=> @t287 (tptp.c_Wellfounded_Owf @t40 @t4236))) (tptp.c_Wellfounded_Owf @t783 @t4027)))) % 45.25/45.45 (assume @p3476 (forall (@list @t10 @t1 @t2 @t58) (=> (forall @t7 (=> @t287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4546 (tptp.hAPP @t4191 (tptp.hAPP (tptp.hAPP @t4182 @t4463) (tptp.hAPP @t4518 @t1)))))))) % 45.25/45.45 (assume @p3477 (forall @t2920 (= @t4686 (tptp.c_Wellfounded_Owf @t10 @t4569)))) % 45.25/45.45 (assume @p3478 (forall @t144 (tptp.c_Wellfounded_OwfP @t10 (tptp.hAPP @t4378 @t4490)))) % 45.25/45.45 (assume @p3479 (forall @t4259 (=> @t4686 (tptp.hBOOL (tptp.hAPP @t3899 @t49))))) % 45.25/45.45 (assume @p3480 (forall @t2920 (= @t4686 (forall @t2482 (tptp.hBOOL (tptp.hAPP @t3899 @t2480)))))) % 45.25/45.45 (assume @p3481 (forall @t4654 (=> @t4686 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3891 @t1072) @t2919)) (tptp.c_Wellfounded_OwfP @t10 @t1072))))) % 45.25/45.45 (assume @p3482 (forall @t4169 (=> @t4643 (tptp.c_Wellfounded_OwfP @t10 (tptp.c_FunDef_Oin__rel @t10 @t10 @t3421))))) % 45.25/45.45 (assume @p3483 (forall @t2920 (= (tptp.c_Wellfounded_OwfP @t10 @t4258) @t4647))) % 45.25/45.45 (assume @p3484 (forall @t2920 (=> @t4686 @t4687))) % 45.25/45.45 (assume @p3485 (forall @t1548 (=> @t1668 (=> (tptp.hBOOL (tptp.hAPP @t763 @t602)) (exists @t7 (and @t205 (not (tptp.hBOOL (tptp.hAPP @t673 (tptp.hAPP @t4456 (tptp.hAPP @t4301 (tptp.hAPP @t4298 @t5)))))))))))) % 45.25/45.45 (assume @p3486 (forall @t4186 (= @t4439 (and (forall @t7 (=> @t4689 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4191 (tptp.hAPP @t4553 @t3594)) @t3)))) @t4438)))) % 45.25/45.45 (assume @p3487 (forall (@list @t58 @t10 @t3) (=> @t4690 @t287))) % 45.25/45.45 (assume @p3488 (forall @t2920 (=> @t4647 @t4691))) % 45.25/45.45 (assume @p3489 (forall @t4692 (=> (tptp.c_Wellfounded_Oacyclic @t10 @t3957) (=> @t4172 @t4691)))) % 45.25/45.45 (assume @p3490 (forall @t144 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t10)))) % 45.25/45.45 (assume @p3491 (forall @t33 (= (tptp.hBOOL (tptp.hAPP @t110 @t24)) (forall @t7 (=> @t288 @t4693))))) % 45.25/45.45 (assume @p3492 (forall (@list @t58 @t25 @t40 @t10) (= (tptp.hAPP @t4456 (tptp.hAPP @t4696 (tptp.hAPP @t4695 @t58))) (tptp.hAPP @t3206 (tptp.hAPP @t4504 (tptp.hAPP @t4297 @t58)))))) % 45.25/45.45 (assume @p3493 (forall (@list @t2 @t2919 @t40 @t10) (= @t4246 (forall @t7 (=> @t4689 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4191 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t44 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 @t4539 @t10) @t4480) @t4296)) @t2)) @t3))))))) % 45.25/45.45 (assume @p3494 (forall @t3261 (= @t3207 (tptp.hAPP @t4456 (tptp.hAPP @t4696 (tptp.hAPP @t4695 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3332 @t569) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 @t4697 @t10) @t4537) @t203)) @t24))))))) % 45.25/45.45 (assume @p3495 (forall @t2920 (=> @t4178 (= @t4647 @t4691)))) % 45.25/45.45 (assume @p3496 (forall @t2920 (=> @t4178 (=> @t4691 @t4647)))) % 45.25/45.45 (assume @p3497 (forall @t53 (=> @t155 (= @t207 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4699 (tptp.hAPP @t4698 @t3574)))))))) % 45.25/45.45 (assume @p3498 (forall @t53 (=> @t155 (= @t210 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 (tptp.hAPP @t4456 (tptp.hAPP @t4699 (tptp.hAPP @t4698 @t101)))))))) % 45.25/45.45 (assume @p3499 (forall @t2920 (= (tptp.c_Nitpick_Owf_H @t10 @t2919) (and @t4691 (or @t4178 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 45.25/45.45 (assume @p3500 (forall @t4702 (=> (forall @t938 (=> @t4701 (tptp.hBOOL (tptp.hAPP @t58 @t4700)))) @t61))) % 45.25/45.45 (assume @p3501 (forall @t2508 (not (forall @t938 (=> (= @t49 @t4700) (not @t4701)))))) % 45.25/45.45 (assume @p3502 (forall @t53 (= @t167 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4705 (tptp.c_HOL_OAll @t27)) (tptp.hAPP (tptp.hAPP @t4704 (tptp.hAPP @t4530 (tptp.hAPP (tptp.hAPP @t4526 tptp.c_fimplies) @t4703))) @t203)))))) % 45.25/45.45 (assume @p3503 (forall @t781 (=> @t675 (=> @t4405 @t780)))) % 45.25/45.45 (assume @p3504 (forall (@list @t160 @t830) (=> (forall @t7 (=> @t1192 (tptp.hBOOL (tptp.hAPP @t1250 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3670 @t160) @t830)))) % 45.25/45.45 (assume @p3505 (forall (@list @t10 @t2919 @t40) (=> (forall @t1970 (tptp.c_Wellfounded_OwfP @t40 @t4707)) (=> (forall @t2732 (=> (not (= @t4707 @t4706)) (= (tptp.hAPP (tptp.hAPP @t610 (tptp.c_Predicate_ODomainP @t40 @t40 @t4707)) (tptp.c_Predicate_ORangeP @t40 @t40 @t4706)) @t573))) (tptp.c_Wellfounded_OwfP @t40 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 (tptp.tc_fun @t40 @t569)) @t143) @t2919)))))) % 45.25/45.45 (assume @p3506 (forall (@list @t174 @t348 @t1118 @t40 @t10 @t1072) (=> (forall @t3804 (=> (= @t1072 @t3803) (tptp.hBOOL (tptp.hAPP @t4708 (tptp.hAPP (tptp.hAPP @t174 @t1038) @t1926))))) (tptp.hBOOL (tptp.hAPP @t4708 (tptp.hAPP (tptp.hAPP @t3801 @t174) @t1072)))))) % 45.25/45.45 (assume @p3507 (forall (@list @t1072 @t174 @t1118 @t40 @t348 @t10) (=> (tptp.hBOOL (tptp.hAPP @t903 (tptp.hAPP @t3798 @t1072))) (not (forall @t633 (=> (= @t1072 (tptp.hAPP (tptp.hAPP @t3245 @t3) @t630)) (not (tptp.hBOOL (tptp.hAPP @t903 (tptp.hAPP (tptp.hAPP @t174 @t3) @t630)))))))))) % 45.25/45.45 (assume @p3508 (forall @t4294 (= (tptp.c_Hilbert__Choice_OEps @t783 @t4305) (tptp.c_Hilbert__Choice_OEps @t783 @t4304)))) % 45.25/45.45 (assume @p3509 (forall (@list @t10 @t174 @t58) (=> @t2483 (=> (= @t174 @t4709) (tptp.hBOOL (tptp.hAPP @t58 @t174)))))) % 45.25/45.45 (assume @p3510 (forall @t195 (= (tptp.c_Hilbert__Choice_OEps @t10 @t4288) @t49))) % 45.25/45.45 (assume @p3511 (forall @t195 (= (tptp.c_Hilbert__Choice_OEps @t10 @t4710) @t49))) % 45.25/45.45 (assume @p3512 (forall @t4712 (= @t4711 @t2483))) % 45.25/45.45 (assume @p3513 (forall @t4712 (=> @t2483 @t4711))) % 45.25/45.45 (assume @p3514 (forall (@list @t10 @t4713) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4713 @t3))) (tptp.hBOOL (tptp.hAPP @t4713 (tptp.c_Hilbert__Choice_OEps @t10 @t4713)))))) % 45.25/45.45 (assume @p3515 (forall (@list @t10 @t49 @t58) (=> @t61 @t4711))) % 45.25/45.45 (assume @p3516 (forall @t4294 (= (tptp.c_Hilbert__Choice_OEps @t783 @t58) (tptp.c_Hilbert__Choice_OEps @t783 @t4293)))) % 45.25/45.45 (assume @p3517 (forall @t3420 (= (tptp.c_Hilbert__Choice_OEps @t783 @t4291) @t3415))) % 45.25/45.45 (assume @p3518 (forall @t4169 (=> (forall @t1052 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t1040) (tptp.hAPP @t4668 @t1040))) (= @t1040 @t142))) @t4643))) % 45.25/45.45 (assume @p3519 (forall (@list @t394 @t24 @t40 @t62 @t25 @t10) (=> @t63 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t775) (tptp.hAPP @t394 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3535 @t4343) (tptp.hAPP (tptp.hAPP @t4338 @t62) @t394))))))) % 45.25/45.45 (assume @p3520 (forall @t4717 (=> (not (tptp.hBOOL (tptp.hAPP @t842 @t4714))) (not (forall @t2093 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4716 @t49)) @t3421)) (tptp.hBOOL (tptp.hAPP @t4715 @t4714)))))))) % 45.25/45.45 (assume @p3521 (forall @t4196 (=> (forall @t938 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4718 @t49)) @t2919)) (tptp.hBOOL (tptp.hAPP @t1070 @t4256)))) @t4257))) % 45.25/45.45 (assume @p3522 (forall (@list @t3421 @t2102 @t2103 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4033 (tptp.hAPP (tptp.hAPP @t4031 @t2103) @t2102)) @t4092)) (and @t4265 @t4264 @t4263 (forall @t7 (=> @t4262 (exists @t384 (and @t4261 @t4280)))))))) % 45.25/45.45 (assume @p3523 (forall @t4726 (=> @t4725 (=> @t4723 (=> @t4722 (=> (tptp.hBOOL (tptp.hAPP @t4721 (tptp.hAPP @t2 @t4720))) @t852)))))) % 45.25/45.45 (assume @p3524 (forall @t774 (=> @t155 (=> @t4729 (=> @t4727 (= @t25 @t622)))))) % 45.25/45.45 (assume @p3525 (forall @t771 (=> @t155 (=> @t4727 (= @t4728 @t4730))))) % 45.25/45.45 (assume @p3526 (forall @t4734 (=> @t155 (=> (tptp.hBOOL (tptp.hAPP @t4731 @t4733)) @t4732)))) % 45.25/45.45 (assume @p3527 (forall (@list @t2 @t877 @t153 @t10) (=> @t4722 (=> (tptp.hBOOL (tptp.hAPP @t4721 @t4733)) @t4735)))) % 45.25/45.45 (assume @p3528 (forall @t771 (=> @t155 (=> @t4727 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t4730) @t4728)))))) % 45.25/45.45 (assume @p3529 (forall @t771 (=> @t155 (=> @t4727 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t4728) @t4730)))))) % 45.25/45.45 (assume @p3530 (forall (@list @t2 @t1 @t40 @t877 @t153 @t10) (=> @t4722 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t4736) (tptp.hAPP @t2 @t4736))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 @t913) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t569 @t2))))))) % 45.25/45.45 (assume @p3531 (forall @t4738 (=> @t4723 (=> @t4735 (tptp.hBOOL (tptp.hAPP @t851 @t4737)))))) % 45.25/45.45 (assume @p3532 (forall (@list @t877 @t2 @t25 @t10) (=> @t155 (=> @t4729 (=> @t4727 (=> (tptp.hBOOL (tptp.hAPP @t4731 (tptp.hAPP @t2 (tptp.hAPP @t4739 @t25)))) (tptp.hBOOL (tptp.hAPP @t4731 @t25)))))))) % 45.25/45.45 (assume @p3533 (forall @t4734 (=> @t155 (=> @t4742 (=> @t4727 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t4740) @t4741))))))) % 45.25/45.45 (assume @p3534 (forall (@list @t877 @t2 @t10) (=> @t155 (=> @t4727 (=> @t4742 @t4732))))) % 45.25/45.45 (assume @p3535 (forall @t4738 (=> @t4723 (=> @t4722 (=> (tptp.hBOOL (tptp.hAPP @t4721 @t4737)) @t4735))))) % 45.25/45.45 (assume @p3536 (forall @t4738 (=> @t4723 (=> @t4722 (=> @t4747 @t4735))))) % 45.25/45.45 (assume @p3537 (forall @t4726 (=> @t4725 (=> @t4723 (=> @t4722 (=> (tptp.hBOOL (tptp.hAPP @t4721 (tptp.hAPP @t2 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t27 (tptp.hAPP @t4744 @t25))))) @t852)))))) % 45.25/45.45 (assume @p3538 (forall (@list @t877 @t153 @t58 @t10 @t25) (=> (= @t25 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t27 @t4749)) (=> (tptp.c_Orderings_Oorder__class_Omono @t27 @t27 @t4749) (=> @t4722 (=> (forall @t2093 (=> (tptp.hBOOL (tptp.hAPP @t4715 @t877)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t4720) @t2092)))) @t852)))))) % 45.25/45.45 (assume @p3539 (forall @t3234 (=> @t155 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t622) @t25)) (tptp.hBOOL (tptp.hAPP @t4751 @t25)))))) % 45.25/45.45 (assume @p3540 (forall @t771 (=> @t155 (=> @t4727 (= @t4750 @t4752))))) % 45.25/45.45 (assume @p3541 (forall (@list @t2 @t761 @t10) (=> @t155 (=> (= @t761 @t4750) (=> @t4727 (= @t761 (tptp.hAPP @t2 @t761))))))) % 45.25/45.45 (assume @p3542 (forall (@list @t545 @t10) (=> @t155 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 (tptp.hAPP (tptp.c_COMBK @t10 @t10) @t545)) @t545)))) % 45.25/45.45 (assume @p3543 (forall @t771 (=> @t155 (=> @t4727 (tptp.hBOOL (tptp.hAPP @t4751 @t4752)))))) % 45.25/45.45 (assume @p3544 (forall @t771 (=> @t155 (=> @t4727 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t4752) @t4750)))))) % 45.25/45.45 (assume @p3545 (forall (@list @t58 @t2 @t10) (=> @t155 (=> @t4727 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t294 @t4750) @t58))) @t58)) (tptp.hBOOL (tptp.hAPP @t4751 @t58))))))) % 45.25/45.45 (assume @p3546 (forall (@list @t58 @t2 @t25 @t10) (=> @t155 (=> (= @t25 @t4750) (=> @t4727 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t2 (tptp.hAPP @t667 @t58))) @t58)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t25) @t58)))))))) % 45.25/45.45 (assume @p3547 (forall @t4734 (=> @t4747 (=> @t4723 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4745) @t4746)))))) % 45.25/45.45 (assume @p3548 (forall (@list @t58 @t153 @t2 @t10 @t25) (=> (= @t25 @t4753) (=> @t4723 (=> @t852 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t2 @t4492))) @t287)) @t4460)))))) % 45.25/45.45 (assume @p3549 (forall (@list @t58 @t2 @t153 @t10) (=> (tptp.hBOOL (tptp.hAPP @t851 @t4753)) (=> @t4723 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t246 @t4753) @t4457)))) @t287)) @t4460))))) % 45.25/45.45 (assume @p3550 (forall (@list @t58 @t2 @t171 @t153 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3783 @t4754)) (=> (tptp.c_Orderings_Oorder__class_Omono @t784 @t784 @t2) (=> (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 @t3803) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3440 @t4754) @t4644)))) @t3882)) (tptp.hBOOL (tptp.hAPP @t4459 @t171))))))) % 45.25/45.45 (assume @p3551 (forall (@list @t2 @t2919 @t10) (=> @t4647 (not (forall @t1386 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP @t2 @t4755)) (tptp.hAPP @t2 @t1384))) @t2919))))))) % 45.25/45.45 (assume @p3552 (forall @t4760 (and (=> @t4758 (= @t4757 @t3985)) (=> @t4759 (= @t4757 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t40 @t10 @t3820) @t51) (tptp.c_Random_Oiterate @t40 @t10 @t4756 @t2))))))) % 45.25/45.45 (assume @p3553 (forall @t4762 (= @t4761 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4047 @t51)) (tptp.hAPP @t4045 @t51))))) % 45.25/45.45 (assume @p3554 (forall (@list @t761 @t1 @t2 @t3948 @t3353 @t40 @t3354 @t1118 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t1118 @t3354 @t40) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t3353 @t3948 @t4398) @t2) @t1)) @t761) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t3353 @t3948 @t40) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3353 @t4765 @t4763) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3948 @t4398) (tptp.tc_fun @t4765 @t4763) @t3353) (tptp.c_Product__Type_Oscomp @t3948 @t1118 @t3354 @t40)) @t1)) @t761))))) % 45.25/45.45 (assume @p3555 (forall (@list @t49 @t1118 @t40 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t40 @t1118 @t3243) @t49) @t3245) @t49))) % 45.25/45.45 (assume @p3556 (forall (@list @t2 @t49 @t40 @t1118 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t1118 @t10 @t40) (tptp.hAPP (tptp.c_Product__Type_OPair @t1118 @t10) @t49)) @t2) @t51))) % 45.25/45.45 (assume @p3557 (forall @t4762 (= @t4761 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1118 @t3354 @t10) @t1) @t51)))) % 45.25/45.45 (assume @p3558 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t4767 @t4766)) @t1345))) % 45.25/45.45 (assume @p3559 (forall @t2920 (= @t4647 (forall (@list @t4768) (=> (exists @t7 @t4771) (exists @t7 (and @t4771 (forall @t938 (=> @t4770 (not (tptp.hBOOL (tptp.hAPP @t1070 @t4768)))))))))))) % 45.25/45.45 (assume @p3560 (forall @t2920 (=> @t4647 @t4773))) % 45.25/45.45 (assume @p3561 (= tptp.c_Wellfounded_Oless__than @t4766)) % 45.25/45.45 (assume @p3562 (forall @t2920 (= @t4691 @t4774))) % 45.25/45.45 (assume @p3563 (forall @t4168 (=> @t4197 @t4775))) % 45.25/45.45 (assume @p3564 (forall @t2920 (tptp.hBOOL (tptp.hAPP @t4776 (tptp.hAPP (tptp.hAPP @t4379 @t4165) (tptp.hAPP @t4378 @t4165)))))) % 45.25/45.45 (assume @p3565 (forall @t4780 (=> @t4779 @t4778))) % 45.25/45.45 (assume @p3566 (forall @t144 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t3742) @t3742))) % 45.25/45.45 (assume @p3567 (forall @t2920 (= (tptp.hAPP @t4656 @t4772) @t4659))) % 45.25/45.45 (assume @p3568 (forall @t2920 (= (tptp.hAPP @t4617 @t4772) @t4675))) % 45.25/45.45 (assume @p3569 (forall @t2920 (= (tptp.hBOOL (tptp.hAPP @t4177 @t4772)) @t4178))) % 45.25/45.45 (assume @p3570 (forall @t4786 (=> @t4775 @t4785))) % 45.25/45.45 (assume @p3571 (forall @t4786 (=> @t4775 @t4788))) % 45.25/45.45 (assume @p3572 (forall @t4786 (=> @t4197 @t4785))) % 45.25/45.45 (assume @p3573 (forall (@list @t174 @t3421 @t171 @t153 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4194 @t3421)) (=> (tptp.hBOOL (tptp.hAPP @t4784 @t3421)) (tptp.hBOOL (tptp.hAPP @t4781 @t4789)))))) % 45.25/45.45 (assume @p3574 (forall (@list @t3957 @t2919 @t1072 @t10) (=> @t4778 (=> @t4172 (tptp.hBOOL (tptp.hAPP @t4777 (tptp.c_Transitive__Closure_Otrancl @t10 @t3957))))))) % 45.25/45.45 (assume @p3575 (forall @t2920 (= @t4772 (tptp.hAPP @t4175 (tptp.hAPP (tptp.hAPP @t4618 @t4772) @t2919))))) % 45.25/45.45 (assume @p3576 (forall @t4514 (=> @t4381 (tptp.hBOOL (tptp.hAPP @t4776 @t4380))))) % 45.25/45.45 (assume @p3577 (forall @t4173 (=> @t4172 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP (tptp.hAPP @t4618 (tptp.hAPP (tptp.hAPP @t4499 @t4772) @t3957)) @t2919)) @t3957)) (tptp.hBOOL (tptp.hAPP @t4776 @t3957)))))) % 45.25/45.45 (assume @p3578 (forall @t4794 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4793) (tptp.hAPP @t4791 (tptp.hAPP @t4546 (tptp.hAPP @t4191 (tptp.hAPP (tptp.hAPP @t3264 (tptp.hAPP @t4552 (tptp.hAPP @t4188 (tptp.hAPP (tptp.hAPP @t4098 (tptp.hAPP @t4095 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t10 @t3739) @t3753) @t99))) @t4790)))) (tptp.hAPP (tptp.hAPP @t4098 (tptp.hAPP @t4095 @t3931)) @t4790)))))))) % 45.25/45.45 (assume @p3579 (forall @t4797 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3890) @t4258) tptp.c_fequal) @t49) @t99)) (tptp.hBOOL (tptp.hAPP @t3932 @t4796))))) % 45.25/45.45 (assume @p3580 (forall @t4780 (=> @t4779 (tptp.hBOOL (tptp.hAPP @t4777 @t4790))))) % 45.25/45.45 (assume @p3581 (forall @t4269 (tptp.hBOOL (tptp.hAPP @t4511 @t4790)))) % 45.25/45.45 (assume @p3582 (forall @t154 (tptp.hBOOL (tptp.hAPP @t4511 @t4795)))) % 45.25/45.45 (assume @p3583 (forall @t4168 (=> @t4775 @t4798))) % 45.25/45.45 (assume @p3584 (forall @t2920 (= @t4772 @t4800))) % 45.25/45.45 (assume @p3585 (forall @t2920 (= @t4772 @t4801))) % 45.25/45.45 (assume @p3586 (forall @t2920 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4796) @t4790))) % 45.25/45.45 (assume @p3587 (forall @t2920 (= (tptp.hAPP @t4791 @t4795) @t4790))) % 45.25/45.45 (assume @p3588 (forall @t4169 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4802) @t4802))) % 45.25/45.45 (assume @p3589 (forall @t4169 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4789) @t4802))) % 45.25/45.45 (assume @p3590 (forall @t4169 (= (tptp.hAPP @t4656 @t4802) @t143))) % 45.25/45.45 (assume @p3591 (forall @t4169 (= (tptp.hAPP @t4617 @t4802) @t143))) % 45.25/45.45 (assume @p3592 (forall @t2920 (tptp.c_Relation_Orefl__on @t10 @t143 @t4790))) % 45.25/45.45 (assume @p3593 (forall @t2920 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4790) @t4790))) % 45.25/45.45 (assume @p3594 (forall @t4786 (=> @t4798 @t4805))) % 45.25/45.45 (assume @p3595 (forall @t4786 (=> @t4798 (=> @t4787 @t4803)))) % 45.25/45.45 (assume @p3596 (forall @t4786 (=> @t4197 @t4805))) % 45.25/45.45 (assume @p3597 (forall @t2920 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4806) @t4790))) % 45.25/45.45 (assume @p3598 (forall (@list @t525 @t3421 @t49 @t10) (=> (or (tptp.hBOOL (tptp.hAPP @t4808 @t4802)) (tptp.hBOOL (tptp.hAPP @t4808 @t4809))) (tptp.hBOOL (tptp.hAPP @t4808 @t4807))))) % 45.25/45.45 (assume @p3599 (forall @t4173 (=> @t4172 @t4812))) % 45.25/45.45 (assume @p3600 (forall @t3429 (=> (tptp.hBOOL (tptp.hAPP @t4674 @t525)) (=> (tptp.hBOOL (tptp.hAPP @t4673 @t4802)) (= @t4809 @t4802))))) % 45.25/45.45 (assume @p3601 (forall @t4173 (=> (tptp.hBOOL (tptp.hAPP @t4171 @t4810)) @t4812))) % 45.25/45.45 (assume @p3602 (forall @t4169 (= (tptp.hAPP @t4813 @t4795) @t4802))) % 45.25/45.45 (assume @p3603 (forall @t3429 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4814) @t4807))) % 45.25/45.45 (assume @p3604 (forall @t4169 (= (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP @t4660 @t4795)) @t4802))) % 45.25/45.45 (assume @p3605 (forall @t3429 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t4814) @t4807)))) % 45.25/45.45 (assume @p3606 (forall (@list @t877 @t2919 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t4181 @t877)) @t877)) (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4790) @t877) @t877)))) % 45.25/45.45 (assume @p3607 (forall @t2920 (= @t4790 (tptp.hAPP (tptp.hAPP @t4174 @t4795) @t4801)))) % 45.25/45.45 (assume @p3608 (forall @t4169 (= (tptp.hAPP (tptp.hAPP @t4618 @t4802) @t4802) @t4802))) % 45.25/45.45 (assume @p3609 (forall @t2920 (= @t4800 @t4801))) % 45.25/45.45 (assume @p3610 (forall @t4692 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t4795) @t3957)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP (tptp.hAPP @t4618 (tptp.hAPP (tptp.hAPP @t4499 @t4790) @t3957)) @t2919)) @t3957)) (tptp.hBOOL (tptp.hAPP @t4811 @t3957)))))) % 45.25/45.45 (assume @p3611 (forall @t144 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t3742) @t4795))) % 45.25/45.45 (assume @p3612 (forall @t4667 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t40 @t40) @t3421) (tptp.c_Relation_OId @t40)) @t3421))) % 45.25/45.45 (assume @p3613 (forall @t4667 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t10 @t40) @t4795) @t3421) @t3421))) % 45.25/45.45 (assume @p3614 (forall @t53 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4795) @t25) @t25))) % 45.25/45.45 (assume @p3615 (forall @t213 (= (tptp.hBOOL (tptp.hAPP @t4194 @t4795)) @t429))) % 45.25/45.45 (assume @p3616 (forall @t4817 (=> @t4816 (=> (tptp.hBOOL (tptp.hAPP @t4245 @t4772)) (tptp.hBOOL (tptp.hAPP @t4815 @t4772)))))) % 45.25/45.45 (assume @p3617 (forall @t4786 (=> @t4775 @t4818))) % 45.25/45.45 (assume @p3618 (forall @t4786 (=> @t4798 @t4788))) % 45.25/45.45 (assume @p3619 (forall (@list @t3421 @t171 @t153 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4194 @t4802)) (or @t429 (and @t853 (tptp.hBOOL (tptp.hAPP @t4194 @t4789))))))) % 45.25/45.45 (assume @p3620 (forall @t4786 (=> @t4197 @t4818))) % 45.25/45.45 (assume @p3621 (forall @t4821 (= @t4820 (or @t100 (and @t483 @t4819))))) % 45.25/45.45 (assume @p3622 (forall @t144 (= (tptp.hAPP @t4656 @t4795) @t143))) % 45.25/45.45 (assume @p3623 (forall @t144 (= (tptp.hAPP @t4617 @t4795) @t143))) % 45.25/45.45 (assume @p3624 (forall @t144 (tptp.c_Relation_Orefl__on @t10 @t143 @t4795))) % 45.25/45.45 (assume @p3625 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4052 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t3813)))) % 45.25/45.45 (assume @p3626 (forall (@list @t99 @t3421 @t49 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t4656 @t3421)))) (= @t4820 @t100)))) % 45.25/45.45 (assume @p3627 (forall (@list @t171 @t2919 @t153 @t10) (=> @t4266 (=> @t4823 @t4267)))) % 45.25/45.45 (assume @p3628 (forall (@list @t2919 @t153 @t171 @t10) (=> @t4823 (=> @t4266 @t4267)))) % 45.25/45.45 (assume @p3629 (forall @t4794 (= (tptp.c_Wellfounded_Owf @t10 @t4793) (and @t4647 @t4824)))) % 45.25/45.45 (assume @p3630 (forall @t4794 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4793) (and @t4691 @t4824)))) % 45.25/45.45 (assume @p3631 (forall @t2920 (tptp.c_Relation_Orefl__on @t10 @t143 @t4796))) % 45.25/45.45 (assume @p3632 (forall @t144 (= @t4795 (tptp.hAPP @t4546 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t3739) @t4520) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3739 @t4097 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3740 (tptp.tc_fun @t4097 @t27) @t3739) (tptp.c_COMBB @t3739 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) @t4179)))))) % 45.25/45.45 (assume @p3633 (forall @t2920 (tptp.c_Relation_Oirrefl @t10 @t4806))) % 45.25/45.45 (assume @p3634 (forall @t1373 (= (tptp.hBOOL (tptp.hAPP @t4767 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t1084))) % 45.25/45.45 (assume @p3635 (forall (@list @t25 @t2919 @t171 @t153 @t10) (=> @t4798 (=> @t4381 @t898)))) % 45.25/45.45 (assume @p3636 (forall @t4259 (=> (= (tptp.hAPP (tptp.hAPP @t4499 @t4827) @t4790) @t3742) (not (tptp.hBOOL (tptp.hAPP @t4825 @t4772)))))) % 45.25/45.45 (assume @p3637 (forall (@list @t160 @t749 @t2919 @t2 @t10) (=> @t4828 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP @t2 @t1401)) @t4036)) @t4790))))) % 45.25/45.45 (assume @p3638 (forall @t2920 (= @t4829 (tptp.hAPP @t4826 @t4790)))) % 45.25/45.45 (assume @p3639 (forall @t144 (= (tptp.hAPP @t4826 @t4795) @t4795))) % 45.25/45.45 (assume @p3640 (forall @t2920 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4827) @t4691))) % 45.25/45.45 (assume @p3641 (forall @t4186 (= (tptp.c_Relation_Orefl__on @t10 @t25 @t4827) @t4439))) % 45.25/45.45 (assume @p3642 (forall @t53 (= (tptp.hAPP @t4826 @t4180) @t4180))) % 45.25/45.45 (assume @p3643 (forall (@list @t2 @t3421 @t40 @t10) (= (tptp.hAPP @t4826 (tptp.hAPP (tptp.hAPP @t4119 @t3421) @t2)) (tptp.hAPP (tptp.hAPP @t4119 (tptp.hAPP (tptp.c_Relation_Oconverse @t40 @t40) @t3421)) @t2)))) % 45.25/45.45 (assume @p3644 (forall @t4627 (= (tptp.hBOOL (tptp.hAPP @t786 @t4831)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3820) @t2919))))) % 45.25/45.45 (assume @p3645 (forall @t4833 (= (tptp.hAPP @t4830 (tptp.hAPP (tptp.hAPP @t4629 @t2919) @t3957)) (tptp.hAPP (tptp.hAPP @t3440 @t4831) @t4832)))) % 45.25/45.45 (assume @p3646 (forall @t4623 (= (tptp.hAPP @t4830 @t4834) @t2919))) % 45.25/45.45 (assume @p3647 (forall @t2920 (= (tptp.hAPP @t4164 @t4827) @t4165))) % 45.25/45.45 (assume @p3648 (forall @t4609 (= @t4837 @t4836))) % 45.25/45.45 (assume @p3649 (forall @t4609 (=> @t4149 (tptp.hBOOL (tptp.hAPP @t4835 @t4834))))) % 45.25/45.45 (assume @p3650 (forall @t4609 (=> @t4837 @t4836))) % 45.25/45.45 (assume @p3651 (forall @t4833 (= (tptp.hAPP @t4830 (tptp.hAPP (tptp.hAPP @t4129 @t2919) @t3957)) (tptp.hAPP (tptp.hAPP @t3437 @t4831) @t4832)))) % 45.25/45.45 (assume @p3652 (forall @t4838 (= (tptp.hAPP @t4830 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t40 @t1118 @t10) @t2919) @t3957)) (tptp.hAPP (tptp.hAPP @t4600 (tptp.hAPP (tptp.c_Relation_Oconverse @t1118 @t10) @t3957)) (tptp.hAPP (tptp.c_Relation_Oconverse @t40 @t1118) @t2919))))) % 45.25/45.45 (assume @p3653 (forall @t4840 (= (tptp.hAPP @t4830 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1118 @t4128) @t525) @t2919)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t1118 @t784) @t525) @t4839)))) % 45.25/45.45 (assume @p3654 (forall @t4840 (= (tptp.hAPP @t4830 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1118 @t4128) @t525) @t2919)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t1118 @t784) @t525) @t4839)))) % 45.25/45.45 (assume @p3655 (forall @t2920 (= @t4842 @t4841))) % 45.25/45.45 (assume @p3656 (forall @t2920 (=> @t4843 (tptp.c_Wellfounded_Owf @t10 @t4841)))) % 45.25/45.45 (assume @p3657 (forall @t4186 (=> @t4200 @t4845))) % 45.25/45.45 (assume @p3658 (forall @t4623 (= @t4622 @t4846))) % 45.25/45.45 (assume @p3659 (forall @t4627 (= @t4846 @t4622))) % 45.25/45.45 (assume @p3660 (forall @t4623 (= (tptp.hAPP @t4604 @t4834) @t4651))) % 45.25/45.45 (assume @p3661 (forall @t4794 (=> @t4848 @t4847))) % 45.25/45.45 (assume @p3662 (forall @t4849 (=> @t4847 @t4848))) % 45.25/45.45 (assume @p3663 (forall @t4849 (=> @t4851 @t4850))) % 45.25/45.45 (assume @p3664 (forall @t4849 (=> @t4850 @t4851))) % 45.25/45.45 (assume @p3665 (forall (@list @t24 @t25 @t2919 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4146) @t24)) (tptp.hBOOL (tptp.hAPP @t4383 (tptp.hAPP @t613 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t40 @t4831) @t198))))))) % 45.25/45.45 (assume @p3666 (forall @t4186 (=> @t4439 (tptp.hBOOL (tptp.hAPP @t4171 @t4844))))) % 45.25/45.45 (assume @p3667 (forall @t4514 (=> @t4845 (=> (= @t4659 @t25) @t4200)))) % 45.25/45.45 (assume @p3668 (forall @t2920 (=> @t4178 (=> @t4691 @t4843)))) % 45.25/45.45 (assume @p3669 (forall @t4623 (= @t4831 (tptp.hAPP @t4472 (tptp.hAPP @t3793 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4128 @t569) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4852 (tptp.tc_fun @t4128 @t569) @t10) (tptp.c_COMBC @t40 @t4128 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t40 @t3820) @t4852 @t10) (tptp.hAPP (tptp.c_COMBB @t3820 @t4513 @t40) @t4144)) @t3821))) @t2919)))))) % 45.25/45.45 (assume @p3670 (forall (@list @t24 @t1118 @t25 @t2919 @t40 @t10) (=> (tptp.c_Relation_Osingle__valued @t10 @t40 @t4831) (=> (not (= @t25 (tptp.c_Orderings_Obot__class_Obot @t3186))) (= @t4135 @t4133))))) % 45.25/45.45 (assume @p3671 (forall @t4186 (= (tptp.c_Relation_Ototal__on @t10 @t25 @t4806) @t4853))) % 45.25/45.45 (assume @p3672 (forall @t144 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4795))) % 45.25/45.45 (assume @p3673 (forall @t4664 (=> @t4663 (=> (tptp.c_Relation_Osingle__valued @t10 @t40 @t3957) @t4854)))) % 45.25/45.45 (assume @p3674 (forall (@list @t3957 @t1118 @t2919 @t40 @t10) (=> @t4854 (=> (tptp.c_Relation_Osingle__valued @t40 @t1118 @t3957) (tptp.c_Relation_Osingle__valued @t10 @t1118 @t4607))))) % 45.25/45.45 (assume @p3675 (forall @t53 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4180))) % 45.25/45.45 (assume @p3676 (forall @t2920 (tptp.c_Relation_Ototal__on @t10 @t142 @t2919))) % 45.25/45.45 (assume @p3677 (forall @t4186 (= (tptp.c_Relation_Ototal__on @t10 @t25 @t4827) @t4853))) % 45.25/45.45 (assume @p3678 (forall (@list @t348 @t99 @t49 @t2919 @t40 @t10) (=> @t4854 (=> (tptp.hBOOL (tptp.hAPP @t3417 @t2919)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 (tptp.hAPP @t3414 @t348)) @t2919)) @t1431))))) % 45.25/45.45 (assume @p3679 (forall @t4627 (= @t4854 (forall @t633 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 @t4411) @t2919)) (forall @t2093 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 @t4855) @t2919)) (= @t630 @t2092)))))))) % 45.25/45.45 (assume @p3680 (forall @t4186 (= @t4853 (forall @t7 (=> @t205 (forall @t384 (=> @t690 (=> @t382 (or (tptp.hBOOL (tptp.hAPP @t4279 @t2919)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 @t380) @t3)) @t2919))))))))))) % 45.25/45.45 (assume @p3681 (forall @t4856 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t2919) (=> @t4816 (=> (tptp.hBOOL (tptp.hAPP @t4815 @t4790)) (or (tptp.hBOOL (tptp.hAPP @t4245 @t4790)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 @t348) @t99)) @t4790)))))))) % 45.25/45.45 (assume @p3682 (forall @t4138 (=> (tptp.c_Relation_Osingle__valued @t10 @t40 (tptp.hAPP @t4830 @t3421)) (= @t4137 @t4136)))) % 45.25/45.45 (assume @p3683 (forall @t4860 (=> @t4859 (tptp.hBOOL (tptp.hAPP @t4777 @t4858))))) % 45.25/45.45 (assume @p3684 (forall @t2920 (=> @t4774 @t4691))) % 45.25/45.45 (assume @p3685 (forall @t4862 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t3421) (tptp.c_Relation_Osingle__valued @t10 @t10 @t4861)))) % 45.25/45.45 (assume @p3686 (forall (@list @t2 @t445 @t40 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t44 @t44) @t445) (tptp.c_Fun_Ocomp @t40 @t40 @t10 @t2)) (tptp.c_Fun_Ocomp @t40 @t40 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t40 @t40) @t445) @t2))))) % 45.25/45.45 (assume @p3687 (forall (@list @t49 @t445 @t10 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4865 @t49)) (tptp.hAPP @t4865 @t51)))) % 45.25/45.45 (assume @p3688 (forall @t1912 (= (tptp.hAPP @t4864 @t4866) (tptp.hAPP (tptp.hAPP @t4863 @t1635) @t2)))) % 45.25/45.45 (assume @p3689 (forall @t4867 (=> (tptp.c_Wellfounded_Owf @t10 @t4861) @t4643))) % 45.25/45.45 (assume @p3690 (forall @t4862 (= (tptp.hAPP @t4635 @t4861) @t4868))) % 45.25/45.45 (assume @p3691 (forall @t4169 (= (tptp.hAPP (tptp.hAPP @t4857 @t1569) @t3421) @t3421))) % 45.25/45.45 (assume @p3692 (forall @t4860 (= @t4859 (exists @t1596 @t4869)))) % 45.25/45.45 (assume @p3693 (forall (@list @t3421 @t445 @t1072 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4777 @t4861)) @t4859))) % 45.25/45.45 (assume @p3694 (forall @t4867 (= @t4870 @t4868))) % 45.25/45.45 (assume @p3695 (forall (@list @t3421 @t445 @t402 @t10) (= (tptp.hAPP (tptp.hAPP @t4857 @t1737) @t3421) (tptp.hAPP (tptp.hAPP @t4618 (tptp.hAPP (tptp.hAPP @t4857 @t402) @t3421)) @t4861)))) % 45.25/45.45 (assume @p3696 (forall @t4169 (= @t4871 @t4795))) % 45.25/45.45 (assume @p3697 (forall @t4821 (=> (tptp.hBOOL (tptp.hAPP @t3932 @t4871)) @t100))) % 45.25/45.45 (assume @p3698 (forall @t4717 (tptp.hBOOL (tptp.hAPP @t4825 @t4871)))) % 45.25/45.45 (assume @p3699 (forall (@list @t445 @t348 @t3421 @t99 @t49 @t10) (=> @t4001 (=> (tptp.hBOOL (tptp.hAPP @t4245 @t4861)) @t4872)))) % 45.25/45.45 (assume @p3700 (forall (@list @t348 @t3421 @t445 @t99 @t49 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3932 @t4861)) (=> (tptp.hBOOL (tptp.hAPP @t4245 @t3421)) @t4872)))) % 45.25/45.45 (assume @p3701 (forall (@list @t2 @t445 @t10) (= (tptp.hAPP (tptp.hAPP @t4863 @t1604) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t2) @t4865)))) % 45.25/45.45 (assume @p3702 (forall @t1682 (= (tptp.hAPP (tptp.hAPP @t4863 @t1737) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t4866) @t4865)))) % 45.25/45.45 (assume @p3703 (forall @t771 (= (tptp.hAPP (tptp.hAPP @t4863 @t1700) @t2) @t4581))) % 45.25/45.45 (assume @p3704 (forall @t4860 (= (tptp.hBOOL (tptp.hAPP @t4777 @t4789)) (exists @t1596 (and @t3090 @t4869))))) % 45.25/45.45 (assume @p3705 (forall @t4169 (= @t4802 @t4858))) % 45.25/45.45 (assume @p3706 (forall @t144 (= (tptp.c_Nat_Ofunpow @t10) @t4863))) % 45.25/45.45 (assume @p3707 (forall @t4880 (=> @t4879 (=> @t4878 (not (forall @t4877 (=> @t1847 (=> @t4876 (not (tptp.hBOOL (tptp.hAPP @t4874 @t4873))))))))))) % 45.25/45.45 (assume @p3708 (forall @t4880 (=> @t4879 (=> @t4878 (not (forall @t4877 (=> @t1847 (=> (tptp.hBOOL (tptp.hAPP @t4875 @t4873)) @t4881)))))))) % 45.25/45.45 (assume @p3709 (forall @t4885 (=> @t4884 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4024 @t3)) @t4882)) (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t4247 @t55)) @t4018)))) @t4883)))) % 45.25/45.45 (assume @p3710 (forall @t4885 (=> @t4884 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t171)) @t4882)) (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t4769 @t55)) @t937)))) @t4883)))) % 45.25/45.45 (assume @p3711 (forall @t4880 (=> @t4872 (not (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t4875 @t4861)) @t4881)))))) % 45.25/45.45 (assume @p3712 (forall @t4880 (=> @t4872 (exists @t938 (and @t4876 @t4886))))) % 45.25/45.45 (assume @p3713 (forall @t4880 (=> @t4872 (not (forall @t938 (=> @t4876 (not @t4886))))))) % 45.25/45.45 (assume @p3714 (forall @t4821 (=> @t4819 (exists @t2093 (and (tptp.hBOOL (tptp.hAPP @t4888 @t4802)) (tptp.hBOOL (tptp.hAPP @t4887 @t3421))))))) % 45.25/45.45 (assume @p3715 (forall @t4821 (=> @t4819 (exists @t2093 (and (tptp.hBOOL (tptp.hAPP @t4888 @t3421)) (tptp.hBOOL (tptp.hAPP @t4887 @t4802))))))) % 45.25/45.45 (assume @p3716 (forall (@list @t1072 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4777 @t4795)) (not (forall @t7 (not (= @t1072 @t3755))))))) % 45.25/45.45 (assume @p3717 (forall (@list @t4889 @t58) (=> (forall @t7 (=> @t2694 (= @t287 (tptp.hBOOL (tptp.hAPP @t4889 @t3))))) (= @t4541 (tptp.hAPP @t4540 (tptp.hAPP @t3912 @t4889)))))) % 45.25/45.45 (assume @p3718 (forall (@list @t55 @t58 @t24 @t25 @t10) (=> @t32 (=> (forall @t7 (=> @t205 (=> @t287 @t4890))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4492) (tptp.hAPP @t268 @t4465))))))) % 45.25/45.45 (assume @p3719 (forall (@list @t2919 @t4891 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 @t4891) @t4831)) (not (forall @t633 (=> (= @t4891 (tptp.hAPP (tptp.hAPP @t3413 @t630) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4144 (tptp.hAPP @t4143 @t630)) @t2919))))))))) % 45.25/45.45 (assume @p3720 (forall (@list @t3957 @t2919 @t1118 @t4892 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3416 @t4892) @t4601)) (not (forall (@list @t3 @t630 @t2092) (=> (= @t4892 @t4855) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4596 (tptp.hAPP (tptp.hAPP @t3839 @t3) @t630)) @t2919)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4592 (tptp.hAPP (tptp.hAPP @t4061 @t630) @t2092)) @t3957)))))))))) % 45.25/45.45 (assume @p3721 (forall @t4899 (= (tptp.c_Nitpick_Oplus__frac @t10 @t2741 @t2919) (tptp.hAPP (tptp.hAPP @t3717 (tptp.c_Nitpick_Oint__lcm @t4898 @t4894)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3789 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t10)) (tptp.hAPP (tptp.hAPP @t3579 (tptp.hAPP @t3760 (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t2165 (tptp.hAPP @t4896 @t2741))) (tptp.hAPP @t4895 @t4898)))) (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t2165 (tptp.hAPP @t4896 @t2919))) (tptp.hAPP @t4895 @t4894))))) @t3578))))) % 45.25/45.45 (assume @p3722 (forall (@list @t1829 @t2120 @t35) (= (tptp.c_Nitpick_Otimes__frac @t35 @t2120 @t1829) (tptp.hAPP (tptp.hAPP @t4306 (tptp.hAPP (tptp.hAPP @t2165 @t4903) (tptp.hAPP @t4902 @t1829))) (tptp.hAPP (tptp.hAPP @t2165 @t4901) (tptp.hAPP @t4900 @t1829)))))) % 45.25/45.45 (assume @p3723 (forall (@list @t2120 @t35 @t10) (=> (and (tptp.class_Rings_Oinverse @t10) @t1946) (= (tptp.c_Nitpick_Oof__frac @t35 @t10 @t2120) (tptp.hAPP (tptp.hAPP @t1991 (tptp.hAPP @t3079 @t4903)) (tptp.hAPP @t3079 @t4901)))))) % 45.25/45.45 (assume @p3724 (forall @t4904 (= (tptp.c_Nitpick_Oinverse__frac @t35 @t2120) (tptp.hAPP (tptp.hAPP @t4306 @t4901) @t4903)))) % 45.25/45.45 (assume @p3725 (forall @t4904 (= (tptp.c_Nitpick_Ouminus__frac @t35 @t2120) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t3178 (tptp.hAPP @t2235 @t4903)) @t4901))))) % 45.25/45.45 (assume @p3726 (forall @t4899 (= (tptp.c_Nitpick_Oless__frac @t10 @t2741 @t2919) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t4905) @t2207))))) % 45.25/45.45 (assume @p3727 (forall @t4899 (= (tptp.c_Nitpick_Oless__eq__frac @t10 @t2741 @t2919) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t4905) @t2207))))) % 45.25/45.45 (assume @p3728 (forall @t144 (= @t4893 (tptp.hAPP (tptp.c_Fun_Ocomp @t3615 tptp.tc_Int_Oint @t10 @t3925) @t4906)))) % 45.25/45.45 (assume @p3729 (forall @t144 (= @t4896 (tptp.hAPP (tptp.c_Fun_Ocomp @t3615 tptp.tc_Int_Oint @t10 @t3960) @t4906)))) % 45.25/45.45 (assume @p3730 (forall (@list @t1118 @t40 @t10) (= (tptp.c_Product__Type_Ointernal__split @t10 @t40 @t1118) @t3777))) % 45.25/45.45 (assume @p3731 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t1700)) % 45.25/45.45 (assume @p3732 (forall (@list @t171 @t153 @t174 @t10 @t1118 @t40) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t40 @t1118 @t10) @t174) @t3797) @t3799))) % 45.25/45.45 (assume @p3733 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t1700)) % 45.25/45.45 (assume @p3734 (forall (@list @t236 @t2) (=> (forall @t1596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1593) @t1595))) (tptp.hBOOL (tptp.hAPP @t1128 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4440 (tptp.hAPP (tptp.hAPP @t4679 @t1080) @t2)) @t236))))))) % 45.25/45.45 (assume @p3735 (forall @t2920 (= @t4676 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4908 @t4677) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4677 tptp.c_Wellfounded_Oless__than @t4680)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4677 @t4677 @t4908) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4677 @t4908) @t4677) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4677)) @t4907)) (tptp.c_COMBI @t4677)))))) % 45.25/45.45 (assume @p3736 (forall (@list @t445 @t2919 @t4909 @t4912 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4917 @t4682)) (and (= @t4913 @t445) @t4911)))) % 45.25/45.45 (assume @p3737 (forall @t4925 (=> (not (= @t4924 @t4923)) (not @t4920)))) % 45.25/45.45 (assume @p3738 (forall @t2920 (= @t4676 (tptp.hAPP @t4946 (tptp.hAPP @t4945 (tptp.hAPP (tptp.hAPP @t4944 (tptp.hAPP @t4943 (tptp.hAPP (tptp.hAPP @t4940 (tptp.hAPP @t4937 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4935 (tptp.hAPP @t4934 (tptp.hAPP (tptp.hAPP @t4930 @t1323) @t4907))) @t4907)))) (tptp.hAPP (tptp.hAPP @t4944 (tptp.hAPP @t4943 (tptp.hAPP (tptp.hAPP @t4940 @t4938) @t4936))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4685 @t4929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4927 (tptp.tc_fun @t4685 @t4929) @t4677) (tptp.c_COMBC @t4677 @t4685 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4928 @t4927 @t4677) (tptp.hAPP (tptp.c_COMBB @t4684 @t4926 @t4677) @t4916)) @t4914))) @t4680)))))))) % 45.25/45.45 (assume @p3739 (forall @t4951 (= (tptp.hAPP @t4907 @t4950) (tptp.hAPP @t1532 (tptp.hAPP @t4446 @t4949))))) % 45.25/45.45 (assume @p3740 (forall @t4683 (= (tptp.hAPP @t4681 @t1604) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4685) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t4958 @t4958) @t4684 (tptp.c_Product__Type_Omap__pair @t4958 @t4677 @t4958 @t4677 @t4957 @t4957)) (tptp.c_Wellfounded_Olex__prod @t10 @t4677 @t2919 @t4682))) (tptp.hAPP @t4946 (tptp.hAPP @t4945 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4929 @t4929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2906 @t4942 @t4677) @t4955) (tptp.hAPP @t4938 @t4954))) @t4954))))))) % 45.25/45.45 (assume @p3741 (forall (@list @t34 @t4918 @t4919 @t35) (=> (tptp.hBOOL (tptp.hAPP @t4962 @t4923)) (not (= @t4919 @t4961))))) % 45.25/45.45 (assume @p3742 (forall (@list @t4963 @t3320 @t4964 @t153 @t10) (= (= @t4966 (tptp.hAPP (tptp.hAPP @t4956 @t3320) @t4963)) (and @t3321 (= @t4964 @t4963))))) % 45.25/45.45 (assume @p3743 (forall @t4968 (not (= @t4967 @t4919)))) % 45.25/45.45 (assume @p3744 (forall @t4969 (not (= @t4919 @t4967)))) % 45.25/45.45 (assume @p3745 (forall (@list @t4970 @t83 @t35) (= (tptp.hAPP @t4922 (tptp.hAPP @t4971 @t4970)) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t4922 @t4970)) @t1701)))) % 45.25/45.45 (assume @p3746 (forall @t4979 (= (tptp.hBOOL (tptp.hAPP @t4978 @t4680)) (or (and @t4209 @t4972) (and @t100 (tptp.hBOOL (tptp.hAPP @t4917 @t4680))))))) % 45.25/45.45 (assume @p3747 (forall (@list @t4066 @t25 @t10) (= (tptp.c_List_Oset__Cons @t10 @t25 @t4066) (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t27 tptp.tc_HOL_Obool @t4677) @t4520) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4984 @t27 @t4677) (tptp.hAPP (tptp.c_COMBB @t4929 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t4677))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4984 @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4987 (tptp.tc_fun @t4984 @t4984) @t4677) (tptp.c_COMBS @t10 @t4929 @t4929)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4986 @t4987 @t4677) (tptp.hAPP (tptp.c_COMBB @t4939 @t4942 @t10) @t4941)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4984 @t4986 @t4677) (tptp.hAPP (tptp.c_COMBB @t4929 @t4939 @t10) @t4938)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4985 @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4983 (tptp.tc_fun @t4985 @t4984) @t4677) (tptp.c_COMBB @t4982 @t4929 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4929 @t4983 @t4677) (tptp.c_COMBB @t4677 tptp.tc_HOL_Obool @t4677)) tptp.c_fequal))) @t4956))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4929 @t4929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2906 @t4942 @t10) @t4955) @t4299)) (tptp.hAPP @t4981 @t4066))))))))) % 45.25/45.45 (assume @p3748 (forall (@list @t4919 @t34 @t35 @t1274) (and (=> @t4991 (= @t4990 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t35) @t34))) (=> (not @t4991) (= @t4990 (tptp.hAPP (tptp.c_Random_Opick @t35 @t4919) (tptp.hAPP @t3075 @t4989))))))) % 45.25/45.45 (assume @p3749 (forall @t4995 (= (tptp.c_Random_Oselect__weight @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t4994) (tptp.hAPP (tptp.hAPP @t4993 @t3061) @t49)) @t4912)) @t4992))) % 45.25/45.45 (assume @p3750 (forall (@list @t2919 @t99 @t171 @t49 @t153 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t5001) @t5000)) @t4996)) (or @t4197 (and @t429 @t4999))))) % 45.25/45.45 (assume @p3751 (forall @t4849 (= (tptp.hBOOL (tptp.hAPP @t4998 @t4680)) (and @t4999 @t5004)))) % 45.25/45.45 (assume @p3752 (forall @t5008 (=> @t4816 (=> @t5007 (tptp.hBOOL (tptp.hAPP @t4978 @t5006)))))) % 45.25/45.45 (assume @p3753 (forall (@list @t4964 @t153 @t3166 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t3166 @t4966) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3167 (tptp.c_List_Olist_Olist__size @t10 @t3166 @t4964))) @t1701)))) % 45.25/45.45 (assume @p3754 (forall (@list @t4912 @t2919 @t49 @t10) (=> @t4257 (=> @t5012 (tptp.hBOOL (tptp.hAPP @t5010 @t5009)))))) % 45.25/45.45 (assume @p3755 (forall @t4173 (=> @t4172 (tptp.hBOOL (tptp.hAPP @t5014 (tptp.c_List_Olistrel1 @t10 @t3957)))))) % 45.25/45.45 (assume @p3756 (forall @t2920 (= @t5016 @t5015))) % 45.25/45.45 (assume @p3757 (forall @t2920 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5013 (tptp.c_List_Olistrel1 @t10 @t4790)) @t5006)))) % 45.25/45.45 (assume @p3758 (forall @t5018 (=> @t5007 (tptp.hBOOL (tptp.hAPP @t5017 @t5006))))) % 45.25/45.45 (assume @p3759 (forall @t5018 (=> @t5019 (tptp.hBOOL (tptp.hAPP @t5017 @t5005))))) % 45.25/45.45 (assume @p3760 (forall @t4849 (=> (tptp.hBOOL (tptp.hAPP @t4998 @t5006)) @t5004))) % 45.25/45.45 (assume @p3761 (forall @t5020 (=> @t5019 @t4972))) % 45.25/45.45 (assume @p3762 (forall @t4849 (= (tptp.hBOOL (tptp.hAPP @t4998 @t5016)) (tptp.hBOOL (tptp.hAPP @t4998 @t5015))))) % 45.25/45.45 (assume @p3763 (forall (@list @t4912 @t2919 @t99 @t49 @t10) (=> @t4209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4977 (tptp.hAPP @t4973 @t4912))) @t5005))))) % 45.25/45.45 (assume @p3764 (forall @t4979 (= (tptp.hBOOL (tptp.hAPP @t4978 @t5005)) (or (and @t4209 @t5021) (and @t100 @t5019))))) % 45.25/45.45 (assume @p3765 (forall (@list @t4912 @t49 @t2919 @t10) (= (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t5023 @t4976) @t5022)) (tptp.c_List_Oset__Cons @t10 @t4193 (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t5023 @t4912) @t5022)))))) % 45.25/45.45 (assume @p3766 (forall (@list @t99 @t2919 @t10) (=> @t4163 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5026 @t99)) @t4996)))))) % 45.25/45.45 (assume @p3767 (forall @t5028 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4915 @t4912)) @t5027)))) % 45.25/45.45 (assume @p3768 (forall @t4173 (=> @t4172 (tptp.hBOOL (tptp.hAPP @t5029 (tptp.c_List_Olistrel @t10 @t3957)))))) % 45.25/45.45 (assume @p3769 (forall @t2920 (tptp.hBOOL (tptp.hAPP @t5029 @t5006)))) % 45.25/45.45 (assume @p3770 (forall @t5020 (=> @t5030 @t4972))) % 45.25/45.45 (assume @p3771 (forall (@list @t5031 @t2919 @t4909 @t4912 @t10) (=> @t5033 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5032 @t5031)) @t5027)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4915 @t5031)) @t5027)))))) % 45.25/45.45 (assume @p3772 (forall @t2920 (= @t5027 @t5006))) % 45.25/45.45 (assume @p3773 (forall @t5020 (=> @t5019 @t5033))) % 45.25/45.45 (assume @p3774 (forall @t4655 (=> (tptp.hBOOL (tptp.hAPP @t4171 @t4141)) (=> (tptp.c_Relation_Orefl__on @t10 @t143 @t4141) (tptp.hBOOL (tptp.hAPP @t5014 (tptp.c_List_Olistrel @t10 @t4141))))))) % 45.25/45.45 (assume @p3775 (forall @t5020 (=> @t5030 @t5007))) % 45.25/45.45 (assume @p3776 (forall @t5008 (=> @t4209 (=> @t5030 (tptp.hBOOL (tptp.hAPP @t4978 @t5024)))))) % 45.25/45.45 (assume @p3777 (forall (@list @t4093 @t49 @t2919 @t10) (= (tptp.c_List_Olistrelp @t10 @t4258 @t49 @t4093) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4997 @t4093)) @t5024))))) % 45.25/45.45 (assume @p3778 (forall (@list @t2919 @t4909 @t99 @t4912 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4915 @t4974)) @t5024)) (not (forall (@list @t3 @t5034) (=> (= @t4912 @t5036) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t99)) @t2919)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t5034) @t4909)) @t5024)))))))))) % 45.25/45.45 (assume @p3779 (forall (@list @t2533 @t2102 @t2099 @t2103 @t2919 @t10) (= (tptp.c_List_Olistrelp @t10 @t2919 (tptp.hAPP @t5039 @t2099) (tptp.hAPP @t5038 @t2533)) (and @t5037 (tptp.c_List_Olistrelp @t10 @t2919 @t2099 @t2533))))) % 45.25/45.45 (assume @p3780 (forall (@list @t4909 @t4912 @t10 @t99 @t49 @t2919) (=> @t5040 (=> (tptp.c_List_Olistrelp @t10 @t2919 @t4912 @t4909) (tptp.c_List_Olistrelp @t10 @t2919 @t4976 @t4974))))) % 45.25/45.45 (assume @p3781 (forall (@list @t2919 @t4912 @t4909 @t99 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t4974) @t4912)) @t5024)) (not (forall (@list @t630 @t5041) (=> (= @t4912 (tptp.hAPP @t5042 @t5041)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t4244 @t630)) @t2919)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5032 @t5041)) @t5024)))))))))) % 45.25/45.45 (assume @p3782 (forall @t4514 (=> @t4381 (tptp.hBOOL (tptp.hAPP @t5029 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4677 @t4677) @t5043) (tptp.hAPP (tptp.c_COMBK @t4929 @t4677) @t5043))))))) % 45.25/45.45 (assume @p3783 (forall @t144 (= (tptp.c_List_Olists @t10 @t143) @t5044))) % 45.25/45.45 (assume @p3784 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5046 @t5043) @t5045))))) % 45.25/45.45 (assume @p3785 (forall @t4186 (=> @t4200 (tptp.c_Equiv__Relations_Oequiv @t4677 @t5043 @t5024)))) % 45.25/45.45 (assume @p3786 (forall @t4186 (=> @t4439 (tptp.c_Relation_Orefl__on @t4677 @t5043 @t5024)))) % 45.25/45.45 (assume @p3787 (forall (@list @t25 @t4912 @t49 @t10) (= (tptp.hBOOL (tptp.hAPP @t5010 @t5043)) (and @t843 @t5047)))) % 45.25/45.45 (assume @p3788 (forall @t5028 (=> @t5012 @t5048))) % 45.25/45.45 (assume @p3789 (forall @t5028 (=> @t5048 @t5012))) % 45.25/45.45 (assume @p3790 (forall @t5020 (= @t5030 (and @t4972 (forall @t1596 (=> @t5055 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t5053 (tptp.hAPP @t5050 @t1593))) @t2919)))))))) % 45.25/45.45 (assume @p3791 (forall @t4797 (=> (forall @t3804 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t5056 @t1926)) @t2919)) (= @t1038 @t1926) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 @t1926) @t1038)) @t2919)))) (or @t4999 @t100 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5026 @t49)) @t4996)))))) % 45.25/45.45 (assume @p3792 (forall @t144 (not (tptp.hBOOL (tptp.hAPP @t5057 @t5044))))) % 45.25/45.45 (assume @p3793 (forall @t5060 (= @t5021 (and @t4972 (forall @t1970 (=> @t5059 (= @t5058 (tptp.hAPP @t5050 @t1966)))))))) % 45.25/45.45 (assume @p3794 (forall (@list @t1254 @t4919 @t34 @t35) (= (tptp.hAPP @t5064 @t1574) @t5063))) % 45.25/45.45 (assume @p3795 (forall @t4968 (= (tptp.hAPP @t5064 @t1700) @t34))) % 45.25/45.45 (assume @p3796 (forall (@list @t445 @t4912 @t49 @t10) (= (tptp.hAPP (tptp.hAPP @t5049 @t4976) @t445) (tptp.c_Nat_Onat_Onat__case @t10 @t49 @t5051 @t445)))) % 45.25/45.45 (assume @p3797 (forall @t5066 (and (=> @t1730 (= @t5065 @t34)) (=> @t1731 (= @t5065 (tptp.hAPP @t5062 @t1872)))))) % 45.25/45.45 (assume @p3798 (forall @t5069 (and (=> @t2510 (= @t5067 @t34)) (=> @t5068 (= @t5067 (tptp.hAPP @t5062 @t2198)))))) % 45.25/45.45 (assume @p3799 (forall @t4849 (= @t4999 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5003) @t5002)) (= (tptp.hAPP (tptp.hAPP @t5070 @t5003) @t99) @t49)) (exists @t1970 (and (tptp.hBOOL (tptp.hAPP @t3145 (tptp.hAPP (tptp.hAPP @t1421 @t5003) @t5002))) (= (tptp.hAPP @t5071 @t49) (tptp.hAPP @t5071 @t99)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP (tptp.hAPP @t5049 @t49) @t1966)) (tptp.hAPP (tptp.hAPP @t5049 @t99) @t1966))) @t2919)))))))) % 45.25/45.45 (assume @p3800 (forall @t4951 (= @t5079 (tptp.hAPP @t4456 (tptp.hAPP @t5077 (tptp.hAPP @t5075 @t4949)))))) % 45.25/45.45 (assume @p3801 (forall @t5081 (tptp.hBOOL (tptp.hAPP @t673 @t5080)))) % 45.25/45.45 (assume @p3802 (forall @t5084 (tptp.hBOOL (tptp.hAPP @t5083 @t5082)))) % 45.25/45.45 (assume @p3803 (forall @t5089 (=> @t5088 (= @t5087 @t4919)))) % 45.25/45.45 (assume @p3804 (forall @t5093 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t5092) @t5080)))) % 45.25/45.45 (assume @p3805 (forall (@list @t4912 @t10 @t445 @t402) (=> @t1084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t5078 (tptp.hAPP (tptp.hAPP @t5070 @t402) @t4912))) @t5092))))) % 45.25/45.45 (assume @p3806 (forall @t4951 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t5079) @t5080)))) % 45.25/45.45 (assume @p3807 (forall (@list @t4919 @t35 @t1254 @t1274) (=> @t5095 (= (tptp.hAPP (tptp.hAPP @t5061 @t5087) @t1274) @t5094)))) % 45.25/45.45 (assume @p3808 (forall (@list @t4912 @t49 @t99 @t10) (=> (tptp.hBOOL (tptp.hAPP @t886 @t5082)) (or @t476 @t5096)))) % 45.25/45.45 (assume @p3809 (forall @t5099 (=> @t5098 @t5097))) % 45.25/45.45 (assume @p3810 (forall @t5100 (=> (tptp.hBOOL (tptp.hAPP @t842 @t5092)) @t5097))) % 45.25/45.45 (assume @p3811 (forall @t5099 (=> @t5101 (not @t5098)))) % 45.25/45.45 (assume @p3812 (forall @t5103 (= (tptp.hAPP @t5102 @t4967) (tptp.hAPP @t4960 @t5087)))) % 45.25/45.45 (assume @p3813 (forall @t5105 (= (tptp.hAPP @t4922 @t5087) (tptp.hAPP @t5104 @t1254)))) % 45.25/45.45 (assume @p3814 (forall @t5107 (= (tptp.hAPP @t5086 @t5106) (tptp.hAPP (tptp.hAPP @t5085 (tptp.hAPP @t1752 @t1255)) @t4919)))) % 45.25/45.45 (assume @p3815 (forall @t4995 (= @t5082 @t5108))) % 45.25/45.45 (assume @p3816 (forall (@list @t445 @t159 @t10) (= (tptp.c_List_Osublist @t10 @t159 @t1867) (tptp.hAPP @t5090 @t159)))) % 45.25/45.45 (assume @p3817 (forall @t5081 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5109) @t4913)))) % 45.25/45.45 (assume @p3818 (forall @t5116 (= @t5115 @t5113))) % 45.25/45.45 (assume @p3819 (forall @t5119 (=> @t5097 (=> (tptp.hBOOL (tptp.hAPP @t5118 @t51)) (tptp.hBOOL (tptp.hAPP @t5118 @t5117)))))) % 45.25/45.45 (assume @p3820 (forall @t5119 (=> @t5097 (=> (tptp.hBOOL (tptp.hAPP @t2859 @t51)) (tptp.hBOOL (tptp.hAPP @t2859 @t5117)))))) % 45.25/45.45 (assume @p3821 (forall @t5120 (= @t5047 (forall @t7 (=> @t5114 @t205))))) % 45.25/45.45 (assume @p3822 (forall @t4995 (=> @t5097 @t5121))) % 45.25/45.45 (assume @p3823 (forall (@list @t4912 @t10 @t445) (=> @t5123 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t5122) @t5080))))) % 45.25/45.45 (assume @p3824 (forall @t4995 (= @t5097 (exists @t1970 (and @t5059 (= @t5058 @t49)))))) % 45.25/45.45 (assume @p3825 (forall @t53 (= @t5043 (tptp.hAPP @t4988 @t5127)))) % 45.25/45.45 (assume @p3826 (forall @t5081 (= @t5080 (tptp.hAPP @t4456 (tptp.hAPP @t5077 (tptp.hAPP @t5075 @t4947)))))) % 45.25/45.45 (assume @p3827 (forall @t5130 (=> @t675 (tptp.hBOOL (tptp.hAPP @t5057 (tptp.hAPP @t4988 (tptp.hAPP @t5129 @t5128))))))) % 45.25/45.45 (assume @p3828 (forall @t5130 (=> @t675 (tptp.hBOOL (tptp.hAPP @t5057 (tptp.hAPP @t4988 (tptp.hAPP @t5129 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP (tptp.hAPP @t4930 @t1080) @t4907)) @t445)))))))) % 45.25/45.45 (assume @p3829 (forall @t5020 (= @t5030 (and @t4972 (forall @t7 (=> @t5133 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4191 @t4258) @t3)))))))) % 45.25/45.45 (assume @p3830 (forall @t5146 (= @t5145 (tptp.hAPP @t4472 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 tptp.tc_HOL_Obool @t783) @t5076) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t783 @t1149 @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5074 @t3962 @t783) @t4445) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1149 @t5074 @t783) @t4444) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t783 @t5140 @t1149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t784 (tptp.tc_fun @t5140 @t1149) @t783) (tptp.c_COMBB @t783 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t40 @t783) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3432 tptp.tc_Nat_Onat) @t3413) @t5051)) @t5139))))) (tptp.hAPP @t4441 @t5137))))))) % 45.25/45.45 (assume @p3831 (forall @t5151 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5150) @t1254) @t5149) (tptp.hAPP (tptp.hAPP @t5147 @t5087) (tptp.hAPP (tptp.hAPP @t5070 @t1254) @t4918))))) % 45.25/45.45 (assume @p3832 (forall (@list @t4918 @t4919 @t10 @t35) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5150)) @t5149) (tptp.hAPP @t5104 @t5152)))) % 45.25/45.45 (assume @p3833 (forall (@list @t4918 @t66 @t4919 @t34 @t10 @t35) (= (tptp.hAPP (tptp.hAPP @t5147 @t4967) (tptp.hAPP (tptp.hAPP @t4956 @t66) @t4918)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5150) @t3979) @t5149)))) % 45.25/45.45 (assume @p3834 (forall @t5060 (= @t5021 (and @t4972 (forall @t7 (=> @t5133 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4191 tptp.c_fequal) @t3)))))))) % 45.25/45.45 (assume @p3835 (forall (@list @t4912 @t171 @t153 @t10) (= (tptp.hBOOL (tptp.hAPP @t4194 (tptp.hAPP @t5132 @t5154))) (and @t5153 @t429)))) % 45.25/45.45 (assume @p3836 (forall @t5156 (=> @t5155 @t5097))) % 45.25/45.45 (assume @p3837 (forall @t5156 (=> @t5155 @t5159))) % 45.25/45.45 (assume @p3838 (forall @t5156 (=> @t5155 (not (=> @t5097 (not @t5159)))))) % 45.25/45.45 (assume @p3839 (forall (@list @t4918 @t10 @t4919 @t35 @t1274) (=> @t5160 (=> (tptp.hBOOL (tptp.hAPP @t1324 @t5152)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5150) @t5149) @t1274) (tptp.hAPP (tptp.hAPP @t3806 @t5094) (tptp.hAPP (tptp.hAPP @t5049 @t4918) @t1274))))))) % 45.25/45.45 (assume @p3840 (forall @t1639 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t749 @t1143) (tptp.hAPP @t5162 (tptp.c_List_Oupto @t2444 @t5161))))) % 45.25/45.45 (assume @p3841 (forall @t5081 (=> @t1132 (= @t5164 (tptp.hAPP (tptp.hAPP @t1073 @t5051) (tptp.hAPP @t1755 @t4913)))))) % 45.25/45.45 (assume @p3842 (forall (@list @t5165) (= (= (tptp.hAPP @t5169 @t5165) @t1700) @t5168))) % 45.25/45.45 (assume @p3843 (forall @t1639 (= @t5171 @t2445))) % 45.25/45.45 (assume @p3844 (forall @t1639 (= @t2445 @t5171))) % 45.25/45.45 (assume @p3845 (forall (@list @t5172 @t1258) (=> @t5178 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5175) @t5173))))) % 45.25/45.45 (assume @p3846 (forall @t4968 (=> @t1712 (= (tptp.hAPP @t5179 @t4967) (tptp.hAPP @t1232 @t5180))))) % 45.25/45.45 (assume @p3847 (forall @t1639 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t749) @t1143) (tptp.hAPP @t5162 (tptp.c_List_Oupto @t749 @t5161))))) % 45.25/45.45 (assume @p3848 (forall @t1639 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t749 @t1143) (tptp.hAPP @t5162 @t5181)))) % 45.25/45.45 (assume @p3849 (forall @t2882 (= (tptp.c_List_Onat__list @t159) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5162 @t159))))) % 45.25/45.45 (assume @p3850 (forall (@list @t1 @t2 @t4912 @t10) (=> (forall @t7 (=> @t5114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5117) (tptp.c_List_Olist_Olist__size @t10 @t1 @t4912)))))) % 45.25/45.45 (assume @p3851 (forall (@list @t1254 @t5172 @t1258) (=> @t5178 (= (tptp.hAPP @t5169 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5172) @t1258) @t1254)) (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP (tptp.hAPP @t1144 @t5173) @t1254)) @t5175))))) % 45.25/45.45 (assume @p3852 (forall @t5184 (=> (tptp.hBOOL (tptp.hAPP @t1379 @t4924)) (= (tptp.c_List_Obutlast @t35 @t5087) @t5183)))) % 45.25/45.45 (assume @p3853 (forall @t5188 (=> (tptp.hBOOL (tptp.hAPP @t4962 @t1274)) (= @t5187 @t4919)))) % 45.25/45.45 (assume @p3854 (forall @t5189 (= (tptp.hAPP @t5186 @t5094) @t4919))) % 45.25/45.45 (assume @p3855 (forall (@list @t34 @t4919 @t35 @t1273 @t1274) @t5194)) % 45.25/45.45 (assume @p3856 (forall @t5188 (= (tptp.hAPP @t4922 @t5187) @t4924))) % 45.25/45.45 (assume @p3857 (forall (@list @t34 @t4919 @t35 @t1258) (and (=> @t5201 (= @t5198 @t5195)) (=> @t5202 (= @t5198 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5195) @t1258) @t34)))))) % 45.25/45.45 (assume @p3858 (forall (@list @t66 @t4918 @t34 @t1274 @t4919 @t10 @t35) (= (tptp.hAPP (tptp.hAPP @t5147 @t5187) (tptp.hAPP @t5204 @t66)) (tptp.hAPP @t5203 @t3979)))) % 45.25/45.45 (assume @p3859 (forall (@list @t5205 @t1274 @t4918 @t4919 @t10 @t35) (= (tptp.hAPP @t5203 @t5205) (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP @t5186 (tptp.hAPP @t3976 @t5205))) (tptp.hAPP @t5204 (tptp.hAPP @t3974 @t5205)))))) % 45.25/45.45 (assume @p3860 (forall (@list @t5206 @t34 @t4919 @t35 @t5207 @t1274) (=> (not (= @t1274 @t5207)) (= (tptp.hAPP (tptp.hAPP @t5208 @t5207) @t5206) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 (tptp.hAPP (tptp.hAPP @t5185 @t5207) @t5206)) @t1274) @t34))))) % 45.25/45.45 (assume @p3861 (forall (@list @t66 @t34 @t1274 @t4919 @t35) (= (tptp.hAPP (tptp.hAPP @t5208 @t1274) @t66) @t5209))) % 45.25/45.45 (assume @p3862 (forall (@list @t2107 @t749 @t4912 @t49 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t4976) @t749) @t2107) (tptp.c_Nat_Onat_Onat__case @t4677 (tptp.hAPP (tptp.hAPP @t4956 @t2107) @t4912) (tptp.hAPP @t5211 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t4677) @t5210) @t2107)) @t749)))) % 45.25/45.45 (assume @p3863 (forall (@list @t66 @t1274 @t4919 @t34 @t35) (= (tptp.hAPP (tptp.hAPP @t5212 @t1612) @t66) (tptp.hAPP @t4960 @t5209)))) % 45.25/45.45 (assume @p3864 (forall (@list @t66 @t4919 @t34 @t35) (= (tptp.hAPP (tptp.hAPP @t5212 @t1700) @t66) @t5214))) % 45.25/45.45 (assume @p3865 (forall @t4995 (=> @t5216 @t5097))) % 45.25/45.45 (assume @p3866 (forall (@list @t749 @t49 @t25 @t4912 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5083 @t25)) (=> @t843 (tptp.hBOOL (tptp.hAPP @t5219 @t25)))))) % 45.25/45.45 (assume @p3867 (forall (@list @t49 @t749 @t4912 @t10) (tptp.hBOOL (tptp.hAPP @t5219 @t5108)))) % 45.25/45.45 (assume @p3868 (forall (@list @t34 @t1273 @t4919 @t35 @t1274) (=> @t5160 (and (=> @t5193 (= @t5192 @t34)) @t5194)))) % 45.25/45.45 (assume @p3869 (forall (@list @t49 @t4912 @t10 @t749) (=> @t5221 (= (= @t5218 @t4912) (= @t5220 @t49))))) % 45.25/45.45 (assume @p3870 (forall (@list @t34 @t4919 @t35 @t1274) (=> @t5160 (= (tptp.hAPP @t5191 @t1274) @t34)))) % 45.25/45.45 (assume @p3871 (forall @t5184 (=> @t5222 (= (tptp.hAPP @t5086 @t5195) @t5087)))) % 45.25/45.45 (assume @p3872 (forall @t5223 (= (tptp.hAPP @t4922 @t5195) @t5200))) % 45.25/45.45 (assume @p3873 (forall (@list @t49 @t4912 @t10 @t445) (=> @t5123 (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 (tptp.hAPP (tptp.hAPP @t5210 @t445) @t49))))))) % 45.25/45.45 (assume @p3874 (forall @t5223 (= @t5195 (tptp.hAPP (tptp.hAPP @t5085 @t5200) @t4919)))) % 45.25/45.45 (assume @p3875 (forall @t5020 (= @t5019 (exists (@list @t630 @t1593) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t5053 @t630)) @t2919)) @t5055 (= @t4909 (tptp.hAPP (tptp.hAPP @t5210 @t1593) @t630))))))) % 45.25/45.45 (assume @p3876 (forall (@list @t749 @t153 @t4912 @t10) (=> @t5226 (=> (not (tptp.hBOOL (tptp.hAPP @t851 (tptp.hAPP @t5225 (tptp.hAPP (tptp.hAPP @t440 @t5220) @t142))))) (tptp.hBOOL (tptp.hAPP @t5224 (tptp.hAPP @t5217 @t153))))))) % 45.25/45.45 (assume @p3877 (forall @t1348 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5227)))) % 45.25/45.45 (assume @p3878 (forall @t5189 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5229))))) % 45.25/45.45 (assume @p3879 (forall @t4951 (=> @t5226 (tptp.hBOOL (tptp.hAPP @t5224 @t4950))))) % 45.25/45.45 (assume @p3880 (forall (@list @t4919 @t10 @t4918 @t35) (=> (tptp.hBOOL (tptp.hAPP @t5230 @t4918)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t10 @t35)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t35) @t4919) @t4918)))))) % 45.25/45.45 (assume @p3881 (forall @t5233 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5232 @t5149))))) % 45.25/45.45 (assume @p3882 (forall @t4995 (= (tptp.hBOOL (tptp.hAPP @t5224 @t4976)) @t5234))) % 45.25/45.45 (assume @p3883 (forall @t5081 (=> @t5226 @t5235))) % 45.25/45.45 (assume @p3884 (forall @t5081 (=> @t5235 @t5226))) % 45.25/45.45 (assume @p3885 (forall @t5081 (= @t5226 (forall @t1970 (=> @t5059 (forall @t1850 (=> @t5237 (=> (not (= @t1966 @t1848)) (not (= @t5058 @t5236)))))))))) % 45.25/45.45 (assume @p3886 (forall @t5240 (=> @t5226 (=> @t5221 (=> (tptp.hBOOL (tptp.hAPP @t5239 @t4913)) (= (= @t5220 @t5238) (= @t749 @t1143))))))) % 45.25/45.45 (assume @p3887 (forall @t5081 (=> @t1132 (=> @t5226 (= @t5164 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t10) @t3442) @t5080)))))) % 45.25/45.45 (assume @p3888 (forall @t53 (and (=> @t675 (= @t5241 (tptp.hAPP @t4907 @t5242))) (=> @t1668 (= @t5241 @t1700))))) % 45.25/45.45 (assume @p3889 (forall (@list @t4918 @t4919 @t35 @t1258) (=> (tptp.hBOOL (tptp.hAPP @t1260 @t4924)) (=> (tptp.hBOOL (tptp.hAPP @t1260 @t4923)) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3145 @t1258)) (= @t5245 (tptp.hAPP @t5244 @t1966)))) (= (tptp.hAPP @t5243 @t4919) (tptp.hAPP @t5243 @t4918))))))) % 45.25/45.45 (assume @p3890 (forall @t5084 (=> @t5226 (= @t5248 @t5246)))) % 45.25/45.45 (assume @p3891 (forall @t5069 (and (=> @t2510 (= @t5249 @t5250)) (=> @t5068 (= @t5249 (tptp.hAPP @t4960 (tptp.hAPP (tptp.hAPP @t5085 @t2198) @t4919))))))) % 45.25/45.45 (assume @p3892 (forall @t53 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5251) @t5043)))) % 45.25/45.45 (assume @p3893 (forall @t5028 (=> (tptp.hBOOL (tptp.hAPP @t5254 @t5024)) @t5252))) % 45.25/45.45 (assume @p3894 (forall @t5028 (=> (tptp.hBOOL (tptp.hAPP @t5255 @t5024)) @t5252))) % 45.25/45.45 (assume @p3895 (forall @t5258 (=> @t5257 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5195)))))) % 45.25/45.45 (assume @p3896 (forall @t216 (tptp.hBOOL (tptp.hAPP @t5230 @t5250)))) % 45.25/45.45 (assume @p3897 (forall @t5260 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5259))))) % 45.25/45.45 (assume @p3898 (forall @t216 (= (tptp.c_List_Obutlast @t35 @t5250) @t5250))) % 45.25/45.45 (assume @p3899 (forall @t4969 (and (=> @t5256 (= @t5261 @t5250)) (=> @t5257 (= @t5261 (tptp.hAPP @t4960 @t5195)))))) % 45.25/45.45 (assume @p3900 (forall @t5263 (and (=> @t78 (= @t5262 @t4919)) (=> @t450 (= @t5262 (tptp.hAPP @t5213 @t5259)))))) % 45.25/45.45 (assume @p3901 (forall @t5266 (not (= @t5265 @t5250)))) % 45.25/45.45 (assume @p3902 (forall @t5266 (not (= @t5250 @t5265)))) % 45.25/45.45 (assume @p3903 (forall @t1347 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1273) @t1274)) @t5268))) % 45.25/45.45 (assume @p3904 (forall @t2170 (= (tptp.hAPP @t5086 @t5250) @t5250))) % 45.25/45.45 (assume @p3905 (forall @t5093 (= (= @t5091 @t5251) (or @t1733 @t5252)))) % 45.25/45.45 (assume @p3906 (forall @t5223 (= (tptp.hAPP (tptp.hAPP @t5085 @t1700) @t4919) @t5250))) % 45.25/45.45 (assume @p3907 (forall @t53 (= (tptp.c_List_Osublist @t10 @t5251 @t25) @t5251))) % 45.25/45.45 (assume @p3908 (forall @t39 (= (tptp.c_List_Oremove1 @t35 @t34 @t5250) @t5250))) % 45.25/45.45 (assume @p3909 (forall @t5270 (= (tptp.c_List_Oremove1 @t35 @t34 (tptp.c_List_Oremove1 @t35 @t66 @t5269)) (tptp.c_List_Oremove1 @t35 @t66 (tptp.c_List_Oremove1 @t35 @t34 @t5269))))) % 45.25/45.45 (assume @p3910 (forall @t2920 (tptp.c_List_Olistrelp @t10 @t2919 @t5251 @t5251))) % 45.25/45.45 (assume @p3911 (forall (@list @t4919 @t10 @t35) (= (tptp.hAPP @t5148 @t5251) @t5271))) % 45.25/45.45 (assume @p3912 (forall (@list @t4918 @t10 @t35) (= (tptp.hAPP (tptp.hAPP @t5147 @t5250) @t4918) @t5271))) % 45.25/45.45 (assume @p3913 (forall @t5272 (= (tptp.c_List_Olist_Olist__size @t10 @t3166 @t5251) @t1700))) % 45.25/45.45 (assume @p3914 (forall @t216 (=> @t1712 (= (tptp.hAPP @t5179 @t5250) @t1707)))) % 45.25/45.45 (assume @p3915 (forall @t5081 (= (= @t4913 @t1700) @t5252))) % 45.25/45.45 (assume @p3916 (forall @t216 (= (tptp.hAPP @t4922 @t5250) @t1700))) % 45.25/45.45 (assume @p3917 (forall @t144 (= (tptp.hAPP @t5078 @t5251) @t142))) % 45.25/45.45 (assume @p3918 (forall @t5081 (= (= @t142 @t5080) @t5252))) % 45.25/45.45 (assume @p3919 (forall @t5081 (= (= @t5080 @t142) @t5252))) % 45.25/45.45 (assume @p3920 (forall (@list @t49 @t160 @t4912 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5210 @t160) @t49) @t5251) @t5252))) % 45.25/45.45 (assume @p3921 (forall (@list @t1905 @t1274 @t35) (= (tptp.hAPP @t5273 @t1905) @t5250))) % 45.25/45.45 (assume @p3922 (forall (@list @t66 @t1274 @t35) (= (tptp.hAPP @t5273 @t66) @t5250))) % 45.25/45.45 (assume @p3923 (forall (@list @t4912 @t10 @t171 @t153) (=> @t853 (= (tptp.hBOOL (tptp.hAPP @t851 (tptp.hAPP @t5078 (tptp.c_List_Oremove1 @t10 @t171 @t4912)))) @t5153)))) % 45.25/45.45 (assume @p3924 (forall @t5274 (=> @t5101 (not (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 (tptp.c_List_Oremove1 @t10 @t99 @t4912)))))))) % 45.25/45.45 (assume @p3925 (forall @t4995 (=> @t5101 (= @t5247 @t4912)))) % 45.25/45.45 (assume @p3926 (forall @t5081 (= (tptp.c_List_Osublist @t10 @t4912 @t1588) @t5251))) % 45.25/45.45 (assume @p3927 (forall @t4995 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t5248) @t5080)))) % 45.25/45.45 (assume @p3928 (forall @t5081 (= @t5121 @t5275))) % 45.25/45.45 (assume @p3929 (forall @t4968 (= (tptp.hAPP (tptp.hAPP @t5085 @t1569) @t4967) @t5276))) % 45.25/45.45 (assume @p3930 (forall @t5028 (not (tptp.hBOOL (tptp.hAPP @t5254 @t5005))))) % 45.25/45.45 (assume @p3931 (forall @t5028 (not (tptp.hBOOL (tptp.hAPP @t5255 @t5005))))) % 45.25/45.45 (assume @p3932 (forall @t2920 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 @t5277) @t5024)))) % 45.25/45.45 (assume @p3933 (forall @t4196 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4997 @t5251)) @t4996))))) % 45.25/45.45 (assume @p3934 (forall (@list @t2919 @t4909 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5253 @t4909)) @t4680))))) % 45.25/45.45 (assume @p3935 (forall @t5028 (not (tptp.hBOOL (tptp.hAPP @t5255 @t4680))))) % 45.25/45.45 (assume @p3936 (forall @t5279 (= (tptp.hAPP @t5090 @t4976) (tptp.c_Nat_Onat_Onat__case @t4677 @t5251 (tptp.hAPP @t5211 (tptp.hAPP (tptp.hAPP @t5278 @t5070) @t4912)) @t445)))) % 45.25/45.45 (assume @p3937 (forall @t1348 (and (=> @t2360 (= @t5227 (tptp.hAPP (tptp.hAPP @t5281 @t1274) (tptp.c_List_Oupto @t5280 @t1273)))) (=> (not @t2360) @t5268)))) % 45.25/45.45 (assume @p3938 (forall (@list @t49 @t10 @t25) (and (=> @t5285 (= @t5283 @t5282)) (=> (not @t5285) (= @t5283 @t5251))))) % 45.25/45.45 (assume @p3939 (forall @t144 (= (tptp.c_List_Olists @t10 @t142) @t5286))) % 45.25/45.45 (assume @p3940 (forall @t5066 (and (=> @t1730 (= @t5287 @t5250)) (=> @t1731 (= @t5287 (tptp.hAPP @t4960 @t5183)))))) % 45.25/45.45 (assume @p3941 (forall @t1321 (and (=> @t5290 (= @t5289 (tptp.hAPP (tptp.hAPP @t5281 @t5288) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t2227 @t5288) @t2202) @t2907)))) (=> (not @t5290) (= @t5289 @t5267))))) % 45.25/45.45 (assume @p3942 (forall @t2920 (= (tptp.hAPP @t5025 @t5286) @t5286))) % 45.25/45.45 (assume @p3943 (forall @t53 (= (tptp.c_List_Oset__Cons @t10 @t25 @t5286) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t4677 @t5293) @t25)))) % 45.25/45.45 (assume @p3944 (forall @t4995 (and (=> @t5097 (= @t5294 (tptp.hAPP (tptp.hAPP @t1091 @t4913) @t1569))) (=> @t5101 (= @t5294 @t4913))))) % 45.25/45.45 (assume @p3945 (forall @t1639 (=> (tptp.hBOOL (tptp.hAPP @t5296 (tptp.hAPP (tptp.hAPP @t3178 @t749) @t1143))) (and (=> @t5295 (= @t5170 (tptp.hAPP (tptp.hAPP @t5281 @t749) @t5181))) (=> (not @t5295) (= @t5170 @t5267)))))) % 45.25/45.45 (assume @p3946 (forall (@list @t3957 @t10 @t4912) (=> @t5275 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 (tptp.hAPP @t5298 (tptp.hAPP @t5297 @t3957))) @t5080))))) % 45.25/45.45 (assume @p3947 (forall @t144 (= (tptp.c_List_Olistset @t10 (tptp.c_List_Olist_ONil @t27)) @t5286))) % 45.25/45.45 (assume @p3948 (forall @t5304 (= (tptp.hAPP (tptp.hAPP @t5141 @t4976) @t4909) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5300 @t40 @t5303 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t5302 @t5302) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5301 (tptp.tc_fun @t5302 @t5302) @t40) (tptp.c_COMBB @t5300 @t5300 @t5134)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t783 @t5301 @t40) @t5299) @t3414))) @t5142)) @t4909)))) % 45.25/45.45 (assume @p3949 (forall (@list @t4964 @t153 @t3136 @t3138 @t40 @t10) (= (tptp.hAPP @t5307 (tptp.hAPP (tptp.hAPP @t5306 @t153) @t4964)) (tptp.hAPP @t5305 @t4964)))) % 45.25/45.45 (assume @p3950 (forall @t5309 (= (tptp.hAPP @t5307 @t5308) @t3138))) % 45.25/45.45 (assume @p3951 (forall (@list @t5310 @t25 @t10) (= (tptp.c_List_Olistset @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t27) @t25) @t5310)) (tptp.c_List_Oset__Cons @t10 @t25 (tptp.c_List_Olistset @t10 @t5310))))) % 45.25/45.45 (assume @p3952 (forall (@list @t4909 @t99 @t4912 @t40 @t10) (= (tptp.hAPP @t5142 @t5313) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5300 @t10 @t5303 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5311 @t5311) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5301 (tptp.tc_fun @t5311 @t5311) @t10) (tptp.c_COMBB @t5300 @t5300 @t4677)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t783 @t5301 @t10) @t5299) (tptp.hAPP @t4376 @t99)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t5134 @t5300) @t5141) @t4909))) @t4912)))) % 45.25/45.45 (assume @p3953 (forall @t533 (=> @t116 (=> @t675 (= @t5315 (tptp.c_List_Oremove1 @t10 @t49 @t5314)))))) % 45.25/45.45 (assume @p3954 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t5296 @t3886)) (=> (forall @t2732 (=> (tptp.hBOOL (tptp.hAPP @t5296 (tptp.hAPP (tptp.hAPP @t3178 @t1966) @t1848))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2245 @t1966) @t1848)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t5316) @t1848))) @t3013))) @t3880)))) % 45.25/45.45 (assume @p3955 (forall @t144 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t142) @t5251)))) % 45.25/45.45 (assume @p3956 (forall @t4760 (and (=> @t4758 (= @t5324 @t5323)) (=> @t4759 (= @t5324 (tptp.c_Option_Ooption_Ooption__case @t5319 @t783 @t5323 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t40 @t5319) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5320 @t5320) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5322 (tptp.tc_fun @t5320 @t5320) @t10) (tptp.c_COMBB @t5319 @t5319 @t40)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5321 @t5322 @t10) (tptp.c_Product__Type_Oprod_Oprod__case @t4677 @t40 @t5319)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4982 @t5321 @t10) (tptp.hAPP (tptp.c_COMBB @t4677 @t5320 @t4677) @t5318)) @t4956)))) (tptp.hAPP @t5317 @t4756))) @t51)))))) % 45.25/45.45 (assume @p3957 (forall (@list @t25 @t159 @t49 @t10) (= (tptp.c_List_Osublist @t10 @t5326 @t25) (tptp.hAPP (tptp.hAPP @t5325 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4677) @t5284) @t5282) @t5251)) (tptp.c_List_Osublist @t10 @t159 (tptp.hAPP @t4446 (tptp.hAPP @t4451 @t25))))))) % 45.25/45.45 (assume @p3958 (forall (@list @t99 @t4909 @t49 @t4912 @t10) (= (= @t5331 @t5329) (and @t5021 @t100)))) % 45.25/45.45 (assume @p3959 (forall (@list @t5031 @t4909 @t4912 @t49 @t10) (= (= @t4976 @t5337) (or (and @t5336 (= @t4976 @t5031)) (exists @t5335 (and (= @t5334 @t4909) (= @t4912 @t5333))))))) % 45.25/45.45 (assume @p3960 (forall (@list @t4912 @t49 @t5031 @t4909 @t10) (= (= @t5337 @t4976) (or (and @t5336 (= @t5031 @t4976)) (exists @t5335 (and (= @t4909 @t5334) (= @t5333 @t4912))))))) % 45.25/45.45 (assume @p3961 (forall (@list @t5269 @t4919 @t4918 @t5340 @t34 @t35) (=> (= (tptp.hAPP @t4960 @t5340) @t4918) (=> (= @t4919 (tptp.hAPP @t5341 @t5269)) (= @t4967 @t5339))))) % 45.25/45.45 (assume @p3962 (forall @t5344 (= (tptp.hAPP (tptp.hAPP @t5338 @t4967) @t4918) (tptp.hAPP @t4960 @t5343)))) % 45.25/45.45 (assume @p3963 (forall (@list @t25 @t4909 @t4912 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5346) @t5043)) (and @t5047 (tptp.hBOOL (tptp.hAPP @t5345 @t5043)))))) % 45.25/45.45 (assume @p3964 (forall (@list @t5269 @t4918 @t4919 @t35) (= (tptp.hAPP (tptp.hAPP @t5338 @t5343) @t5269) (tptp.hAPP @t5342 @t5339)))) % 45.25/45.45 (assume @p3965 (forall (@list @t8 @t5031 @t4909 @t4912 @t10) (= (= @t5346 (tptp.hAPP @t5349 @t8)) (exists (@list @t5347) (or (and (= @t4912 (tptp.hAPP @t5349 @t5347)) (= (tptp.hAPP @t5348 @t4909) @t8)) (and (= (tptp.hAPP @t5330 @t5347) @t5031) (= @t4909 (tptp.hAPP @t5348 @t8)))))))) % 45.25/45.45 (assume @p3966 (forall @t5351 (= (= @t5346 (tptp.hAPP @t5330 @t5031)) @t5350))) % 45.25/45.45 (assume @p3967 (forall (@list @t5031 @t4912 @t4909 @t10) (= (= (tptp.hAPP @t5328 @t4912) (tptp.hAPP @t5349 @t4912)) @t5350))) % 45.25/45.45 (assume @p3968 (forall (@list @t5352 @t4918 @t5269 @t5340 @t4919 @t35) (=> (= (tptp.hAPP @t5342 @t5340) @t5269) (=> (= @t4918 (tptp.hAPP @t5341 @t5352)) (= @t5343 (tptp.hAPP (tptp.hAPP @t5338 @t5269) @t5352)))))) % 45.25/45.45 (assume @p3969 (forall @t4925 (=> @t1712 (= (tptp.hAPP @t5179 @t5343) (tptp.hAPP (tptp.hAPP @t1161 @t5180) (tptp.hAPP @t5179 @t4918)))))) % 45.25/45.45 (assume @p3970 (forall @t4925 (= (tptp.hAPP @t4922 @t5343) @t5354))) % 45.25/45.45 (assume @p3971 (forall (@list @t5355 @t4918 @t5352 @t10 @t4919 @t35) (=> (= @t4924 (tptp.hAPP @t4907 @t5352)) (=> (= @t4923 (tptp.hAPP @t4907 @t5355)) (= (tptp.hAPP @t5358 (tptp.hAPP (tptp.hAPP @t5325 @t5352) @t5355)) (tptp.hAPP (tptp.hAPP @t5357 (tptp.hAPP @t5148 @t5352)) (tptp.hAPP @t5356 @t5355))))))) % 45.25/45.45 (assume @p3972 (forall @t5361 (= (tptp.hAPP @t5078 @t5346) @t5360))) % 45.25/45.45 (assume @p3973 (forall (@list @t35 @t4918 @t4919) (=> @t4920 (= @t4919 @t5362)))) % 45.25/45.45 (assume @p3974 (forall @t5361 (= (= @t5346 @t4909) @t5252))) % 45.25/45.45 (assume @p3975 (forall @t5361 (= (= @t5346 @t4912) @t5336))) % 45.25/45.45 (assume @p3976 (forall @t5361 (= (= @t5346 @t5251) @t5363))) % 45.25/45.45 (assume @p3977 (forall (@list @t4912 @t10 @t4909) (= (= @t4909 @t5346) @t5252))) % 45.25/45.45 (assume @p3978 (forall (@list @t4909 @t10 @t4912) (= (= @t4912 @t5346) @t5336))) % 45.25/45.45 (assume @p3979 (forall @t5223 (= (tptp.hAPP @t5342 @t5250) @t4919))) % 45.25/45.45 (assume @p3980 (forall @t5361 (= (= @t5251 @t5346) @t5363))) % 45.25/45.45 (assume @p3981 (forall @t5364 (= @t5362 @t4918))) % 45.25/45.45 (assume @p3982 (forall @t5368 (and (=> @t5366 (= @t5365 @t5195)) (=> @t5367 (= @t5365 (tptp.hAPP @t5342 (tptp.c_List_Obutlast @t35 @t4918))))))) % 45.25/45.45 (assume @p3983 (forall (@list @t4918 @t34 @t4919 @t35) (= (tptp.hAPP (tptp.hAPP @t5061 @t5369) @t4924) @t34))) % 45.25/45.45 (assume @p3984 (forall (@list @t1254 @t4918 @t4919 @t35) (= (tptp.hAPP @t5370 (tptp.hAPP @t5353 @t1254)) (tptp.hAPP @t5244 @t1254)))) % 45.25/45.45 (assume @p3985 (forall @t5373 (= (tptp.hAPP @t5086 @t5343) (tptp.hAPP @t5372 (tptp.hAPP (tptp.hAPP @t5085 @t5371) @t4918))))) % 45.25/45.45 (assume @p3986 (forall (@list @t34 @t4918 @t4919 @t35 @t1274) (=> @t5160 (= (tptp.hAPP (tptp.hAPP @t5374 @t1274) @t34) (tptp.hAPP (tptp.hAPP @t5338 @t5187) @t4918))))) % 45.25/45.45 (assume @p3987 (forall (@list @t66 @t4918 @t34 @t4919 @t35) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5369) @t4924) @t66) (tptp.hAPP @t5342 @t5375)))) % 45.25/45.45 (assume @p3988 (forall @t5377 (and (=> @t5097 (= @t5376 (tptp.hAPP (tptp.hAPP @t5325 @t5247) @t4909))) (=> @t5101 (= @t5376 (tptp.hAPP @t5330 (tptp.c_List_Oremove1 @t10 @t49 @t4909))))))) % 45.25/45.45 (assume @p3989 (forall @t5377 (=> (or @t5216 (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 @t5378)))) (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 (tptp.c_List_Obutlast @t10 @t5346))))))) % 45.25/45.45 (assume @p3990 (forall @t5260 (= (tptp.c_List_Obutlast @t35 @t5379) @t4919))) % 45.25/45.45 (assume @p3991 (forall (@list @t5380 @t5381 @t2919 @t4909 @t4912 @t10) (=> (or (and @t5019 (= @t5381 @t5380)) (and @t5021 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t5381) @t5380)) @t5005)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t5382) (tptp.hAPP @t5328 @t5380))) @t5005))))) % 45.25/45.45 (assume @p3992 (forall (@list @t49 @t2919 @t2107 @t236 @t10) (=> @t5385 @t5384))) % 45.25/45.45 (assume @p3993 (forall @t5361 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5346)) (and @t5226 @t5386 (= (tptp.hAPP (tptp.hAPP @t246 @t5080) @t5359) @t142))))) % 45.25/45.45 (assume @p3994 (forall (@list @t4918 @t4919 @t35 @t1254) (and (=> @t5222 (= @t5387 @t5063)) (=> @t5388 (= @t5387 (tptp.hAPP @t5244 @t5371)))))) % 45.25/45.45 (assume @p3995 (forall (@list @t34 @t4918 @t4919 @t35 @t1254) (and (=> @t5222 (= @t5389 (tptp.hAPP (tptp.hAPP @t5338 (tptp.hAPP (tptp.hAPP @t5185 @t1254) @t34)) @t4918))) (=> @t5388 (= @t5389 (tptp.hAPP @t5342 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t4918) @t5371) @t34))))))) % 45.25/45.45 (assume @p3996 (forall (@list @t25 @t5390 @t159 @t10) (= (tptp.c_List_Osublist @t10 (tptp.hAPP (tptp.hAPP @t5325 @t159) @t5390) @t25) (tptp.hAPP (tptp.hAPP @t5325 (tptp.c_List_Osublist @t10 @t159 @t25)) (tptp.c_List_Osublist @t10 @t5390 (tptp.hAPP @t4446 (tptp.hAPP (tptp.hAPP @t4442 (tptp.hAPP @t4450 (tptp.hAPP @t3526 (tptp.hAPP @t4907 @t159)))) @t25))))))) % 45.25/45.45 (assume @p3997 (forall (@list @t4909 @t5380 @t5381 @t4912 @t2919 @t99 @t49 @t10) (=> @t4209 (=> (= @t4912 (tptp.hAPP @t5391 (tptp.hAPP @t4975 @t5380))) (=> (= @t4909 (tptp.hAPP @t5391 (tptp.hAPP @t4973 @t5380))) @t5019))))) % 45.25/45.45 (assume @p3998 (forall (@list @t99 @t49 @t236 @t2919 @t171 @t153 @t10) (=> @t4197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 (tptp.hAPP @t5392 @t5001)) (tptp.hAPP @t5392 @t5000))) @t4996))))) % 45.25/45.45 (assume @p3999 (forall @t5395 (=> @t5160 (= (tptp.hAPP (tptp.hAPP @t5085 @t1612) @t4919) (tptp.hAPP @t5394 (tptp.hAPP @t5393 @t5250)))))) % 45.25/45.45 (assume @p4000 (forall (@list @t2919 @t99 @t4909 @t49 @t4912 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP (tptp.hAPP @t4914 @t5331) @t5329)) @t5005)) (or (and @t5019 @t100) (and @t5021 @t4209))))) % 45.25/45.45 (assume @p4001 (forall @t5020 (=> @t5019 (not (forall @t633 (=> @t4248 (forall @t5397 (=> (= @t4912 (tptp.hAPP @t5348 (tptp.hAPP @t5035 @t5396))) (not (= @t4909 (tptp.hAPP @t5348 (tptp.hAPP @t5042 @t5396)))))))))))) % 45.25/45.45 (assume @p4002 (forall (@list @t2919 @t2107 @t236 @t49 @t10) (=> @t5384 (=> (forall @t1122 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t5056 @t1038)) @t2919)))) @t5385)))) % 45.25/45.45 (assume @p4003 (forall @t5081 (= @t5401 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4677 @t10 @t5251 (tptp.hAPP (tptp.hAPP @t5399 @t5398) @t5293)) @t4912)))) % 45.25/45.45 (assume @p4004 (forall (@list @t83 @t4919 @t35 @t1274) (=> @t5160 (= (tptp.hAPP @t5186 @t83) (tptp.hAPP @t5394 (tptp.hAPP @t4971 @t5403)))))) % 45.25/45.45 (assume @p4005 (forall @t5105 (= (tptp.hAPP @t5372 @t5405) @t4919))) % 45.25/45.45 (assume @p4006 (forall @t5103 (= (tptp.hAPP @t5406 @t4967) @t5405))) % 45.25/45.45 (assume @p4007 (forall @t4968 (= (tptp.hAPP (tptp.hAPP @t5402 @t1569) @t4967) @t4919))) % 45.25/45.45 (assume @p4008 (forall (@list @t4918 @t66 @t4919 @t1254 @t35) (=> (= @t5405 @t5375) (= @t5063 @t66)))) % 45.25/45.45 (assume @p4009 (forall @t5081 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5401)) @t5226))) % 45.25/45.45 (assume @p4010 (forall @t5189 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5408))))) % 45.25/45.45 (assume @p4011 (forall @t5105 (= @t5410 @t5409))) % 45.25/45.45 (assume @p4012 (forall @t5105 (= @t5409 @t5410))) % 45.25/45.45 (assume @p4013 (forall @t5107 (= (tptp.hAPP @t5086 @t5412) (tptp.hAPP @t5411 (tptp.hAPP (tptp.hAPP @t5085 @t1322) @t4919))))) % 45.25/45.45 (assume @p4014 (forall @t5107 (= (tptp.hAPP @t5404 @t5106) (tptp.hAPP (tptp.hAPP @t5085 @t1257) @t5405)))) % 45.25/45.45 (assume @p4015 (forall @t5107 (= (tptp.hAPP @t5404 @t5412) (tptp.hAPP (tptp.hAPP @t5402 @t1322) @t4919)))) % 45.25/45.45 (assume @p4016 (forall @t5223 (= (tptp.hAPP (tptp.hAPP @t5402 @t1700) @t4919) @t4919))) % 45.25/45.45 (assume @p4017 (forall @t5151 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5150) @t1254) @t5149) (tptp.hAPP (tptp.hAPP @t5147 @t5405) (tptp.hAPP (tptp.hAPP @t5413 @t1254) @t4918))))) % 45.25/45.45 (assume @p4018 (forall @t5105 (= (tptp.hAPP @t4922 @t5405) (tptp.hAPP @t5199 @t1254)))) % 45.25/45.45 (assume @p4019 (forall @t5223 (= (tptp.hAPP @t4922 @t5415) @t4924))) % 45.25/45.45 (assume @p4020 (forall @t5081 (= (tptp.hAPP @t5078 @t5401) @t5080))) % 45.25/45.45 (assume @p4021 (forall @t5100 (=> (tptp.hBOOL (tptp.hAPP @t842 @t5418)) @t5097))) % 45.25/45.45 (assume @p4022 (forall @t5093 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t5418) @t5080)))) % 45.25/45.45 (assume @p4023 (forall @t5081 (= (= @t5401 @t5251) @t5252))) % 45.25/45.45 (assume @p4024 (forall @t2170 (= (tptp.hAPP @t5404 @t5250) @t5250))) % 45.25/45.45 (assume @p4025 (forall (@list @t4912 @t10 @t402 @t445) (=> @t1620 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 (tptp.hAPP @t5078 (tptp.hAPP (tptp.hAPP @t5413 @t402) @t4912))) @t5418))))) % 45.25/45.45 (assume @p4026 (forall @t5089 (=> @t5088 (= @t5405 @t5250)))) % 45.25/45.45 (assume @p4027 (forall @t5093 (= (= @t5417 @t5251) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t4913) @t445))))) % 45.25/45.45 (assume @p4028 (forall @t5373 (= (tptp.hAPP @t5404 @t5343) (tptp.hAPP (tptp.hAPP @t5338 @t5405) (tptp.hAPP (tptp.hAPP @t5402 @t5371) @t4918))))) % 45.25/45.45 (assume @p4029 (forall @t5351 (= (= @t5346 @t5031) (and (= @t4912 (tptp.hAPP (tptp.hAPP @t5070 @t4913) @t5031)) (= @t4909 (tptp.hAPP (tptp.hAPP @t5413 @t4913) @t5031)))))) % 45.25/45.45 (assume @p4030 (forall @t5279 (= (tptp.hAPP @t5416 @t4976) (tptp.c_Nat_Onat_Onat__case @t4677 @t4976 (tptp.hAPP (tptp.hAPP @t5278 @t5413) @t4912) @t445)))) % 45.25/45.45 (assume @p4031 (forall @t5066 (and (=> @t1730 (= @t5419 @t4967)) (=> @t1731 (= @t5419 (tptp.hAPP (tptp.hAPP @t5402 @t1872) @t4919)))))) % 45.25/45.45 (assume @p4032 (forall (@list @t4919 @t35 @t1274 @t1254) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5420) @t4924)) (= (tptp.hAPP (tptp.hAPP @t5061 @t5405) @t1274) (tptp.hAPP @t5062 @t5420))))) % 45.25/45.45 (assume @p4033 (forall (@list @t5421 @t5424 @t5422 @t5423 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5325 @t5423) @t5422) (tptp.hAPP (tptp.hAPP @t5325 @t5424) @t5421)) (and (=> @t5427 (and (= @t5423 (tptp.hAPP (tptp.hAPP @t5070 @t5426) @t5424)) (= @t5422 (tptp.hAPP (tptp.hAPP @t5325 (tptp.hAPP (tptp.hAPP @t5413 @t5426) @t5424)) @t5421)))) (=> (not @t5427) (and (= (tptp.hAPP (tptp.hAPP @t5070 @t5425) @t5423) @t5424) (= (tptp.hAPP (tptp.hAPP @t5325 (tptp.hAPP (tptp.hAPP @t5413 @t5425) @t5423)) @t5422) @t5421))))))) % 45.25/45.45 (assume @p4034 (forall @t5395 (=> @t5160 (= @t5428 @t5408)))) % 45.25/45.45 (assume @p4035 (forall (@list @t4919 @t34 @t10 @t35) (and (= (tptp.hAPP @t5414 @t5250) @t5250) (= (tptp.hAPP @t5400 (tptp.hAPP @t5429 @t4919)) (tptp.hAPP (tptp.hAPP @t5325 @t4919) (tptp.hAPP @t5429 @t5251)))))) % 45.25/45.45 (assume @p4036 (forall @t5069 (and (=> @t2510 (= @t5430 @t4967)) (=> @t5068 (= @t5430 (tptp.hAPP (tptp.hAPP @t5402 @t2198) @t4919)))))) % 45.25/45.45 (assume @p4037 (forall (@list @t4919 @t35 @t1273 @t1274) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1294) @t4924)) (= (tptp.hAPP (tptp.hAPP @t5085 @t1294) @t4919) (tptp.hAPP @t5394 (tptp.hAPP (tptp.hAPP @t5085 @t1273) @t5408)))))) % 45.25/45.45 (assume @p4038 (forall @t5223 (=> @t5431 (= @t5415 @t4919)))) % 45.25/45.45 (assume @p4039 (forall @t5432 (= (tptp.hAPP @t5148 (tptp.hAPP (tptp.hAPP @t5325 @t4918) @t5269)) (tptp.hAPP (tptp.hAPP @t5357 (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP (tptp.hAPP @t5085 @t5152) @t4919)) @t4918)) (tptp.hAPP (tptp.hAPP @t5147 (tptp.hAPP (tptp.hAPP @t5402 @t5152) @t4919)) @t5269))))) % 45.25/45.45 (assume @p4040 (forall @t5432 (= (tptp.hAPP @t5358 @t5269) (tptp.hAPP (tptp.hAPP @t5357 (tptp.hAPP @t5148 (tptp.hAPP (tptp.hAPP @t5070 @t4924) @t5269))) (tptp.hAPP @t5356 (tptp.hAPP (tptp.hAPP @t5413 @t4924) @t5269)))))) % 45.25/45.45 (assume @p4041 (forall @t5395 (=> @t5160 (= @t4919 (tptp.hAPP @t5394 @t5428))))) % 45.25/45.45 (assume @p4042 (forall @t5184 (=> @t5222 (= (tptp.hAPP @t5372 (tptp.hAPP (tptp.hAPP @t4959 @t5435) @t5250)) @t5433)))) % 45.25/45.45 (assume @p4043 (forall @t5436 (=> @t5257 (=> @t5222 (= @t5435 @t5063))))) % 45.25/45.45 (assume @p4044 (forall @t4968 (= (tptp.hAPP @t5434 @t4967) @t34))) % 45.25/45.45 (assume @p4045 (forall @t5440 (and (=> @t5256 (= @t5438 (tptp.hAPP @t5434 @t4918))) @t5439))) % 45.25/45.45 (assume @p4046 (forall @t5440 @t5439)) % 45.25/45.45 (assume @p4047 (forall @t5443 (=> @t5275 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 @t5442) @t5080))))) % 45.25/45.45 (assume @p4048 (forall @t5258 (=> @t5257 (= @t5437 (tptp.hAPP @t5062 @t1700))))) % 45.25/45.45 (assume @p4049 (forall @t5258 (=> @t5257 (= @t5415 (tptp.hAPP @t5447 (tptp.hAPP @t5444 @t5250)))))) % 45.25/45.45 (assume @p4050 (forall @t5436 (=> @t5257 (= (tptp.hAPP @t5434 @t5450) (tptp.hAPP @t5062 @t5448))))) % 45.25/45.45 (assume @p4051 (forall @t5105 (= @t5452 @t5451))) % 45.25/45.45 (assume @p4052 (forall @t5105 (= @t5451 @t5452))) % 45.25/45.45 (assume @p4053 (forall @t4968 (= (tptp.hAPP @t5445 @t4967) @t4919))) % 45.25/45.45 (assume @p4054 (forall @t5093 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5454)) @t5226))) % 45.25/45.45 (assume @p4055 (forall @t5223 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5446))))) % 45.25/45.45 (assume @p4056 (forall @t144 (= (tptp.c_List_Orotate @t10 @t1700) @t5455))) % 45.25/45.45 (assume @p4057 (forall (@list @t4919 @t1254 @t1255 @t35) (= (tptp.hAPP (tptp.c_List_Orotate @t35 @t1255) @t5450) (tptp.hAPP (tptp.c_List_Orotate @t35 @t1308) @t4919)))) % 45.25/45.45 (assume @p4058 (forall @t485 (= (tptp.c_List_Orotate @t10 @t1737) (tptp.hAPP (tptp.c_Fun_Ocomp @t4677 @t4677 @t4677 (tptp.c_List_Orotate @t10 @t402)) @t5453)))) % 45.25/45.45 (assume @p4059 (forall @t5105 (= (tptp.hAPP @t4922 @t5450) @t4924))) % 45.25/45.45 (assume @p4060 (forall @t5093 (= (tptp.hAPP @t5078 @t5454) @t5080))) % 45.25/45.45 (assume @p4061 (forall @t5093 (= (= @t5454 @t5251) @t5252))) % 45.25/45.45 (assume @p4062 (forall @t216 (= (tptp.hAPP @t5445 @t5250) @t5250))) % 45.25/45.45 (assume @p4063 (forall @t5105 (= @t5456 (tptp.hAPP @t5449 @t5415)))) % 45.25/45.45 (assume @p4064 (forall @t446 (= @t5453 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4677 @t4677) @t445) @t5400)))) % 45.25/45.45 (assume @p4065 (forall @t5440 (=> @t5257 (= (tptp.hAPP @t5445 @t5343) (tptp.hAPP @t5447 @t4918))))) % 45.25/45.45 (assume @p4066 (forall @t5105 (= @t5457 (tptp.hAPP @t5445 @t5433)))) % 45.25/45.45 (assume @p4067 (forall @t5105 (= @t5450 (tptp.hAPP (tptp.c_List_Orotate @t35 @t5448) @t4919)))) % 45.25/45.45 (assume @p4068 (forall @t5105 (= (tptp.hAPP @t5406 @t4919) @t5451))) % 45.25/45.45 (assume @p4069 (forall @t5105 (= (tptp.hAPP (tptp.c_List_Orotate @t35 @t1574) @t4919) @t5456))) % 45.25/45.45 (assume @p4070 (forall @t5361 (= (tptp.hAPP @t5458 @t5346) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4677 @t10 (tptp.hAPP @t5458 @t4909) (tptp.hAPP (tptp.c_COMBK @t4982 @t10) (tptp.hAPP @t5398 @t4909))) @t4912)))) % 45.25/45.45 (assume @p4071 (forall @t5184 (=> (= @t5448 @t1700) @t5459))) % 45.25/45.45 (assume @p4072 (forall @t5089 (=> @t5431 @t5459))) % 45.25/45.45 (assume @p4073 (forall @t5223 (= (tptp.hAPP @t4922 @t5446) @t5200))) % 45.25/45.45 (assume @p4074 (forall @t5105 (= (tptp.hAPP @t5445 @t5087) (tptp.hAPP @t5182 @t5446)))) % 45.25/45.45 (assume @p4075 (forall @t5436 (=> @t5257 (= @t5433 (tptp.hAPP @t5444 @t5457))))) % 45.25/45.45 (assume @p4076 (forall @t5105 (= @t5450 (tptp.hAPP (tptp.hAPP @t5338 (tptp.hAPP (tptp.hAPP @t5402 @t5448) @t4919)) (tptp.hAPP (tptp.hAPP @t5085 @t5448) @t4919))))) % 45.25/45.45 (assume @p4077 (forall @t5081 (=> @t1240 (=> @t5275 (= (tptp.hAPP @t1112 @t5080) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1111 @t5442) (tptp.hAPP @t5458 @t4912))))))) % 45.25/45.45 (assume @p4078 (forall (@list @t2919 @t49 @t10 @t99) (=> (exists (@list @t1926 @t2092) (= @t99 (tptp.hAPP (tptp.hAPP @t4956 @t1926) @t2092))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4997 (tptp.hAPP @t5383 @t99))) @t4996))))) % 45.25/45.45 (assume @p4079 (forall @t4311 (= (tptp.hAPP @t5460 @t5308) @t153))) % 45.25/45.45 (assume @p4080 (forall (@list @t5165 @t445 @t402) (=> @t1084 (tptp.hBOOL (tptp.hAPP @t1083 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1144 @t445) @t5165)))))) % 45.25/45.45 (assume @p4081 (forall @t5461 (=> (tptp.class_Groups_Osemigroup__add @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1130 @t1772) @t5031) (tptp.hAPP @t1771 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1130 @t99) @t5031)))))) % 45.25/45.45 (assume @p4082 (forall (@list @t5031 @t49 @t10) (=> @t5463 (= (tptp.hAPP @t1771 (tptp.hAPP @t5462 @t5031)) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1130 @t49) @t5031))))) % 45.25/45.45 (assume @p4083 (forall (@list @t4912 @t49 @t153 @t2 @t40 @t10) (= (tptp.hAPP @t5460 @t5465) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 @t2 (tptp.hAPP @t579 @t49)) @t4912)))) % 45.25/45.45 (assume @p4084 (forall (@list @t4909 @t4912 @t153 @t2 @t40 @t10) (= (tptp.hAPP @t5460 @t5468) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 @t2 @t5466) @t4909)))) % 45.25/45.45 (assume @p4085 (forall @t144 (=> @t5463 (= @t5163 @t5462)))) % 45.25/45.45 (assume @p4086 (forall (@list @t5165 @t402) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1144 @t402) @t5165) @t1700) (and @t1736 @t5168)))) % 45.25/45.45 (assume @p4087 (forall @t5471 (=> @t2108 (= @t5470 (tptp.hAPP @t5469 @t4912))))) % 45.25/45.45 (assume @p4088 (forall @t5081 (=> @t155 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t5080) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t291 @t145) @t4912))))) % 45.25/45.45 (assume @p4089 (forall @t5081 (=> @t155 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t5080) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t294 @t148) @t4912))))) % 45.25/45.45 (assume @p4090 (forall @t4995 (=> @t292 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t5082) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t291 @t49) @t4912))))) % 45.25/45.45 (assume @p4091 (forall @t4995 (=> @t292 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t5082) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t294 @t49) @t4912))))) % 45.25/45.45 (assume @p4092 (forall @t4995 (=> @t116 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t5082) @t5472)))) % 45.25/45.45 (assume @p4093 (forall @t4995 (=> @t116 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t5082) @t5473)))) % 45.25/45.45 (assume @p4094 (forall @t4995 (=> @t116 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t627 @t5082) @t5472)))) % 45.25/45.45 (assume @p4095 (forall @t4995 (=> @t116 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t551 @t5082) @t5473)))) % 45.25/45.45 (assume @p4096 (forall @t5475 (=> @t155 (= (tptp.hAPP (tptp.hAPP @t3347 @t5474) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 (tptp.hAPP @t3328 (tptp.hAPP (tptp.hAPP @t3326 @t291) @t2)) @t145) @t4912))))) % 45.25/45.45 (assume @p4097 (forall @t5475 (=> @t155 (= (tptp.hAPP (tptp.hAPP @t3388 @t5474) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 (tptp.hAPP @t3328 (tptp.hAPP (tptp.hAPP @t3326 @t294) @t2)) @t148) @t4912))))) % 45.25/45.45 (assume @p4098 (forall (@list @t5165 @t445) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1190 @t445) @t5167)) (tptp.hBOOL (tptp.hAPP @t1081 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1144 @t1700) @t5165)))))) % 45.25/45.45 (assume @p4099 (forall @t533 (=> @t116 (=> @t675 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t480) (tptp.hAPP @t5477 @t5315)))))) % 45.25/45.45 (assume @p4100 (forall (@list @t2919 @t99 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5253 @t99)) @t4996)) (exists (@list @t1038 @t3) (= @t99 (tptp.hAPP @t5478 @t3)))))) % 45.25/45.45 (assume @p4101 (forall (@list @t49 @t2 @t10 @t40) (=> @t648 (= (tptp.hAPP @t5480 @t5251) @t5282)))) % 45.25/45.45 (assume @p4102 (forall (@list @t4909 @t40 @t99 @t49 @t2 @t10) (=> @t116 (and (=> @t5484 (= @t5483 (tptp.hAPP @t5464 @t5313))) (=> (not @t5484) (= @t5483 (tptp.hAPP @t5312 (tptp.hAPP @t5482 @t4909)))))))) % 45.25/45.45 (assume @p4103 (forall @t5486 (=> @t648 (= (tptp.hAPP @t5078 @t5485) @t5108)))) % 45.25/45.45 (assume @p4104 (forall @t5486 (=> @t648 (= (tptp.hAPP @t4907 @t5485) @t5487)))) % 45.25/45.45 (assume @p4105 (forall (@list @t4912 @t99 @t49 @t10) (=> @t116 (= (tptp.hAPP @t5477 (tptp.hAPP @t5489 @t4912)) (tptp.hAPP @t5489 @t5488))))) % 45.25/45.45 (assume @p4106 (forall @t144 (=> @t116 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t4677 @t5476)))) % 45.25/45.45 (assume @p4107 (forall (@list @t4912 @t40 @t99 @t49 @t2 @t10) (=> @t116 (=> @t906 (= (tptp.hAPP @t5490 @t5491) (tptp.hAPP @t5482 (tptp.hAPP @t5490 @t4912))))))) % 45.25/45.45 (assume @p4108 (forall @t4995 (=> @t116 (= (tptp.c_List_Oremove1 @t10 @t49 @t5488) @t4912)))) % 45.25/45.45 (assume @p4109 (forall (@list @t4912 @t153 @t2 @t10 @t40) (=> @t648 (not (= @t5493 @t5251))))) % 45.25/45.45 (assume @p4110 (forall @t5486 (=> @t648 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5485)) @t5234)))) % 45.25/45.45 (assume @p4111 (forall @t5497 (=> @t116 (=> (not @t5496) (= @t5494 @t5491))))) % 45.25/45.45 (assume @p4112 (forall @t4995 (=> @t116 (=> @t5101 (= @t5498 @t5488))))) % 45.25/45.45 (assume @p4113 (forall (@list @t49 @t2 @t4912 @t10 @t40) (=> @t648 (=> @t5226 (tptp.hBOOL (tptp.hAPP @t5224 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t40 @t2 @t49 @t4912))))))) % 45.25/45.45 (assume @p4114 (forall @t4995 (=> @t116 (=> @t5097 (= @t5498 @t4912))))) % 45.25/45.45 (assume @p4115 (forall @t4995 (=> @t116 (= (tptp.hAPP @t5078 @t5498) @t5108)))) % 45.25/45.45 (assume @p4116 (forall @t5497 (=> @t116 (=> @t5496 (= @t5494 @t4912))))) % 45.25/45.45 (assume @p4117 (forall (@list @t34 @t1258 @t35 @t4919) (=> @t5257 (and (=> @t5201 (= @t5500 @t34)) (=> @t5202 (= @t5500 @t5499)))))) % 45.25/45.45 (assume @p4118 (forall @t5258 (=> @t5257 (= @t5499 (tptp.hAPP @t5062 @t5200))))) % 45.25/45.45 (assume @p4119 (forall @t4969 @t5502)) % 45.25/45.45 (assume @p4120 (forall @t4969 @t5503)) % 45.25/45.45 (assume @p4121 (forall @t4969 (and @t5502 @t5503))) % 45.25/45.45 (assume @p4122 (forall @t5368 @t5505)) % 45.25/45.45 (assume @p4123 (forall @t5368 @t5506)) % 45.25/45.45 (assume @p4124 (forall @t5368 (and @t5505 @t5506))) % 45.25/45.45 (assume @p4125 (forall (@list @t10 @t5507) (=> (not (= @t5507 @t5251)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 (tptp.c_List_Olast @t10 @t5507)) (tptp.hAPP @t5078 @t5507)))))) % 45.25/45.45 (assume @p4126 (forall @t5260 (= (tptp.c_List_Olast @t35 @t5379) @t34))) % 45.25/45.45 (assume @p4127 (forall @t5184 (=> @t5222 (= (tptp.c_List_Olast @t35 @t5405) @t5499)))) % 45.25/45.45 (assume @p4128 (forall (@list @t4909 @t49 @t4912 @t10) (= (= @t5331 @t4909) (and (not @t5336) (= @t5378 @t4912) (= (tptp.c_List_Olast @t10 @t4909) @t49))))) % 45.25/45.45 (assume @p4129 (forall @t5258 (=> @t5257 (= (tptp.hAPP (tptp.hAPP @t5338 @t5195) (tptp.hAPP (tptp.hAPP @t4959 @t5499) @t5250)) @t4919)))) % 45.25/45.45 (assume @p4130 (forall @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t153) @t5043)) (or @t5509 (exists (@list @t1038 @t5508) (and (= @t153 (tptp.hAPP @t5478 @t5508)) @t1048 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5508) @t5043)))))))) % 45.25/45.45 (assume @p4131 (forall @t5443 (=> @t5275 (= (tptp.c_Random_Oselect__weight @t10 @t5510) @t5297)))) % 45.25/45.45 (assume @p4132 (forall @t688 (=> @t684 @t5513))) % 45.25/45.45 (assume @p4133 (forall @t5516 (=> @t5275 (= (tptp.c_List_Olast @t40 @t5515) (tptp.hAPP @t2 @t5514))))) % 45.25/45.45 (assume @p4134 (forall (@list @t4912 @t2 @t1118 @t153 @t1 @t40 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 @t1 @t153) @t5519) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t1118 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3237 @t3340) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t146 (tptp.tc_fun @t3237 @t3340) @t10) @t3494) @t1)) @t2) @t153) @t4912)))) % 45.25/45.45 (assume @p4135 (forall @t5523 (= (tptp.hAPP @t5521 (tptp.hAPP (tptp.c_List_Otl @t40) @t4912)) (tptp.hAPP @t5458 @t5522)))) % 45.25/45.45 (assume @p4136 (forall @t5524 (= (tptp.hAPP @t5453 @t5522) (tptp.hAPP @t5521 (tptp.hAPP (tptp.c_List_Orotate @t40 @t445) @t4912))))) % 45.25/45.45 (assume @p4137 (forall @t5081 (= @t5154 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t3739) @t4179) @t4912)))) % 45.25/45.45 (assume @p4138 (forall (@list @t4909 @t1 @t3354 @t4912 @t2 @t1118 @t40 @t10) (= (tptp.hAPP @t5529 (tptp.hAPP @t5526 @t4909)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4398 @t783) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1118 @t3354 @t783) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t1118 @t4764 @t5525) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 (tptp.tc_fun @t4764 @t5525) @t1118) (tptp.c_COMBB @t40 @t783 @t3354)) @t4339)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1118 @t3354) @t4912) @t4909))))) % 45.25/45.45 (assume @p4139 (forall (@list @t4909 @t4912 @t2 @t1118 @t40 @t10) (= (tptp.hAPP @t5529 @t4909) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4591 @t783) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t1118 @t40 @t783) @t4339)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t1118 @t40) @t4912) @t4909))))) % 45.25/45.45 (assume @p4140 (forall (@list @t4909 @t4912 @t1 @t3354 @t2 @t10 @t1118 @t40) (= (tptp.hAPP @t5531 (tptp.hAPP (tptp.hAPP @t5530 (tptp.hAPP @t5526 @t4912)) @t4909)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4432 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3354 @t1118 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3251 @t3340 @t3354) (tptp.hAPP (tptp.c_COMBB @t3243 @t10 @t1118) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t40 @t3251 @t3354) @t3245) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3354 @t1118) @t4912) @t4909))))) % 45.25/45.45 (assume @p4141 (forall (@list @t4909 @t1 @t3354 @t4912 @t2 @t10 @t1118 @t40) (= (tptp.hAPP @t5531 (tptp.hAPP (tptp.hAPP @t5530 @t4912) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t3354 @t1118) @t1) @t4909))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4416 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t3354 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5532 (tptp.tc_fun @t3354 @t10) @t40) (tptp.hAPP (tptp.c_COMBB @t3243 @t10 @t3354) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t5533 @t5532) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3251 (tptp.tc_fun @t5533 @t5532) @t40) (tptp.c_COMBB @t1118 @t3243 @t3354)) @t3245)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t40 @t3354) @t4912) @t4909))))) % 45.25/45.45 (assume @p4142 (forall (@list @t4909 @t2 @t1118 @t4912 @t40 @t10) (= (tptp.hAPP @t5142 (tptp.hAPP @t5518 @t4909)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4414 @t783) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t1118 @t783) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3237 @t5534) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 (tptp.tc_fun @t3237 @t5534) @t10) (tptp.c_COMBB @t40 @t783 @t1118)) @t3413)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t1118) @t4912) @t4909))))) % 45.25/45.45 (assume @p4143 (forall @t5536 (= (= @t5251 @t5522) @t5535))) % 45.25/45.45 (assume @p4144 (forall @t576 (= (tptp.hAPP @t5521 @t5308) @t5251))) % 45.25/45.45 (assume @p4145 (forall @t5523 (= (= @t5522 @t5251) @t5535))) % 45.25/45.45 (assume @p4146 (forall (@list @t99 @t160 @t4912 @t2 @t10 @t40) (= (tptp.hAPP @t5521 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t40 @t4912) @t160) @t99)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5522) @t160) @t113)))) % 45.25/45.45 (assume @p4147 (forall (@list @t1 @t4912 @t2 @t10 @t40) (= (= @t5522 @t5537) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t890 @t5474)) @t6))))) % 45.25/45.45 (assume @p4148 (forall (@list @t4909 @t1 @t1118 @t4912 @t2 @t10 @t40) (=> (= @t5522 (tptp.hAPP (tptp.hAPP @t5527 @t1) @t4909)) (= @t5539 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5538) @t4909))))) % 45.25/45.45 (assume @p4149 (forall @t5536 (= (tptp.hAPP @t4907 @t5522) @t5539))) % 45.25/45.45 (assume @p4150 (forall @t5542 (=> @t699 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 @t3514) @t4912)) (tptp.hAPP (tptp.hAPP @t695 @t5541) @t5540))))) % 45.25/45.45 (assume @p4151 (forall (@list @t4912 @t40 @t10) (=> @t5463 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 @t3224) @t4912)) @t1704)))) % 45.25/45.45 (assume @p4152 (forall (@list @t4912 @t2 @t174 @t40 @t10) (=> @t3406 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 (tptp.hAPP (tptp.hAPP @t3218 @t1814) @t2)) @t4912)) (tptp.hAPP @t1814 @t5541))))) % 45.25/45.45 (assume @p4153 (forall (@list @t4912 @t174 @t2 @t40 @t10) (=> @t3406 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 (tptp.hAPP @t3407 @t174)) @t4912)) (tptp.hAPP (tptp.hAPP @t1111 @t5541) @t174))))) % 45.25/45.45 (assume @p4154 (forall @t5542 (=> @t1132 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 @t3537) @t4912)) (tptp.hAPP (tptp.hAPP @t1130 @t5541) @t5540))))) % 45.25/45.45 (assume @p4155 (forall @t5545 (=> @t684 @t5544))) % 45.25/45.45 (assume @p4156 (forall @t5548 (=> @t5547 (=> (tptp.c_Fun_Oinj__on @t40 @t10 @t2 @t615) @t5021)))) % 45.25/45.45 (assume @p4157 (forall @t5081 (= (tptp.hAPP @t5550 @t4912) @t4912))) % 45.25/45.45 (assume @p4158 (forall @t5524 (= (tptp.hAPP @t5090 @t5522) (tptp.hAPP @t5521 (tptp.hAPP @t5552 @t4912))))) % 45.25/45.45 (assume @p4159 (forall @t5523 (= (tptp.hAPP @t5521 (tptp.c_List_Obutlast @t40 @t4912)) (tptp.c_List_Obutlast @t10 @t5522)))) % 45.25/45.45 (assume @p4160 (forall @t5536 (= (tptp.hAPP @t5078 @t5522) @t5495))) % 45.25/45.45 (assume @p4161 (forall @t5486 (= (tptp.hAPP @t5521 @t5465) (tptp.hAPP (tptp.hAPP @t4956 @t51) @t5522)))) % 45.25/45.45 (assume @p4162 (forall @t5548 (= (tptp.hAPP @t5521 @t5468) (tptp.hAPP (tptp.hAPP @t5325 @t5522) @t5546)))) % 45.25/45.45 (assume @p4163 (forall @t5516 (=> @t5275 (= (tptp.hAPP (tptp.c_List_Ohd @t40) @t5515) (tptp.hAPP @t2 @t5442))))) % 45.25/45.45 (assume @p4164 (forall @t5524 (= (tptp.hAPP @t5416 @t5522) (tptp.hAPP @t5521 (tptp.hAPP @t5553 @t4912))))) % 45.25/45.45 (assume @p4165 (forall @t144 (= @t5550 @t5455))) % 45.25/45.45 (assume @p4166 (forall @t144 (= (tptp.hAPP @t5549 @t4581) @t5455))) % 45.25/45.45 (assume @p4167 (forall (@list @t4912 @t1 @t1118 @t2 @t10 @t40) (= (tptp.hAPP @t5521 (tptp.hAPP @t5555 @t4912)) (tptp.hAPP @t5554 @t4912)))) % 45.25/45.45 (assume @p4168 (forall (@list @t4964 @t1 @t1118 @t2 @t10 @t40) (= (tptp.hAPP @t5521 (tptp.hAPP @t5555 @t4964)) (tptp.hAPP @t5554 @t4964)))) % 45.25/45.45 (assume @p4169 (forall (@list @t1 @t2 @t10 @t40 @t1118) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5538 @t5134 @t4677 @t5518) (tptp.hAPP (tptp.c_List_Omap @t10 @t1118) @t1)) (tptp.hAPP @t5511 @t3409)))) % 45.25/45.45 (assume @p4170 (forall (@list @t4912 @t1 @t40 @t2 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t2 @t5537) (tptp.c_List_Olist_Olist__size @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_Nat_Onat @t40 @t2) @t1) @t4912)))) % 45.25/45.45 (assume @p4171 (forall @t5548 (=> @t5547 (=> (tptp.c_Fun_Oinj__on @t40 @t10 @t2 (tptp.hAPP (tptp.hAPP @t606 @t5474) @t5158)) @t5021)))) % 45.25/45.45 (assume @p4172 (forall @t5545 (=> @t5556 @t5544))) % 45.25/45.45 (assume @p4173 (forall (@list @t2 @t40 @t4912 @t10 @t445) (=> @t5123 (= (tptp.hAPP (tptp.hAPP @t5138 @t5515) @t445) (tptp.hAPP @t2 @t5122))))) % 45.25/45.45 (assume @p4174 (forall (@list @t2107 @t2 @t40 @t4912 @t99 @t10) (=> (not @t5096) (= (tptp.hAPP (tptp.hAPP @t5511 (tptp.c_Fun_Ofun__upd @t10 @t40 @t2 @t99 @t2107)) @t4912) @t5515)))) % 45.25/45.45 (assume @p4175 (forall @t5536 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5522)) (and (tptp.hBOOL (tptp.hAPP @t5557 @t4912)) (tptp.c_Fun_Oinj__on @t40 @t10 @t2 @t5474))))) % 45.25/45.45 (assume @p4176 (forall @t5081 (=> @t3111 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t3109 @t5164)) (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5549 @t3109) @t4912))))))) % 45.25/45.45 (assume @p4177 (forall @t5536 (=> @t699 (= (tptp.hAPP @t218 @t5541) (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t40 @t218) @t2)) @t4912)))))) % 45.25/45.45 (assume @p4178 (forall @t575 (=> (tptp.c_Fun_Oinj__on @t10 @t40 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 (tptp.hAPP @t5558 @t25))) (tptp.c_Fun_Oinj__on @t4677 @t5134 @t5512 @t25)))) % 45.25/45.45 (assume @p4179 (forall @t688 (=> @t5513 @t684))) % 45.25/45.45 (assume @p4180 (forall @t688 (= @t5513 @t684))) % 45.25/45.45 (assume @p4181 (forall (@list @t2 @t4912 @t10 @t40) (=> @t1104 (=> @t5226 (= @t5560 (tptp.hAPP @t1060 @t5080)))))) % 45.25/45.45 (assume @p4182 (forall (@list @t4912 @t2919 @t40 @t10) (=> @t2682 (= (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5520 (tptp.hAPP @t3223 @t2919)) @t4912)) (tptp.hAPP (tptp.hAPP @t1111 (tptp.hAPP @t2771 @t5539)) @t2919))))) % 45.25/45.45 (assume @p4183 (forall (@list @t2 @t4912 @t49 @t10 @t40) (=> @t1104 (=> @t5097 (= @t5560 (tptp.hAPP (tptp.hAPP @t1106 @t51) (tptp.hAPP @t5559 (tptp.hAPP @t5512 @t5247)))))))) % 45.25/45.45 (assume @p4184 (forall @t1671 (=> @t1104 (and (=> @t675 (= @t5561 (tptp.hAPP @t5559 (tptp.hAPP @t5512 @t5242)))) (=> @t1668 (= @t5561 @t1837)))))) % 45.25/45.45 (assume @p4185 (forall (@list @t4912 @t10 @t159) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t159) @t4913)) (= (tptp.hAPP (tptp.c_Random_Opick @t10 @t5510) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t159)) (tptp.hAPP @t5051 @t159))))) % 45.25/45.45 (assume @p4186 (= @t3061 @t5562)) % 45.25/45.45 (assume @p4187 (forall @t1609 (= (= @t5564 @t5563) @t1606))) % 45.25/45.45 (assume @p4188 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t5567 @t5566) @t5565) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1320)))) % 45.25/45.45 (assume @p4189 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 45.25/45.45 (assume @p4190 (= @t3068 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1569))) % 45.25/45.45 (assume @p4191 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3154 @t5564) @t5563)) @t1470))) % 45.25/45.45 (assume @p4192 (forall @t2700 (=> (tptp.hBOOL (tptp.hAPP @t2794 @t1349)) (=> @t5569 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t49) @t5568) @t100))))) % 45.25/45.45 (assume @p4193 (forall @t5572 (=> @t5571 (= (tptp.hAPP @t5570 @t5143) @t4912)))) % 45.25/45.45 (assume @p4194 (forall @t5572 (=> @t5571 (= (tptp.hAPP @t5573 @t5143) @t4909)))) % 45.25/45.45 (assume @p4195 (= @t3056 (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))) % 45.25/45.45 (assume @p4196 (forall (@list @t5031 @t40 @t10) (= (tptp.hAPP (tptp.hAPP @t5141 @t5575) @t5574) @t5031))) % 45.25/45.45 (assume @p4197 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t3152 @t5566) @t5565) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1322)))) % 45.25/45.45 (assume @p4198 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3156 @t5564) @t5563)) @t1620))) % 45.25/45.45 (assume @p4199 (forall @t1383 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5566) @t5565) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1416)))) % 45.25/45.45 (assume @p4200 (forall @t5579 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3154 @t749) @t5578)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 (tptp.hAPP @t5577 @t749)) @t5576))))) % 45.25/45.45 (assume @p4201 (forall (@list @t5031 @t4909 @t40 @t4912 @t10) (=> @t5571 (= (= @t5143 @t5031) (and (= @t5575 @t4912) (= @t5574 @t4909)))))) % 45.25/45.45 (assume @p4202 (forall @t5580 (= @t5117 (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t5169 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 tptp.tc_Nat_Onat) @t2) @t4912))) @t4913)))) % 45.25/45.45 (assume @p4203 (forall @t2720 (= (not (= @t749 @t5562)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3156 @t3068) @t749))))) % 45.25/45.45 (assume @p4204 (forall (@list @t1143 @t749 @t2 @t10) (=> @t1132 (= (tptp.hAPP @t3612 @t5171) (tptp.hAPP @t5163 (tptp.hAPP @t5581 @t5170)))))) % 45.25/45.45 (assume @p4205 (forall (@list @t159 @t160 @t2 @t10) (=> @t1132 (= (tptp.hAPP @t5163 (tptp.hAPP @t5581 @t5582)) (tptp.hAPP @t3612 (tptp.hAPP @t5162 @t5582)))))) % 45.25/45.45 (assume @p4206 (forall @t5583 (=> (tptp.hBOOL (tptp.hAPP @t3998 @t5578)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t203 (tptp.hAPP @t5298 (tptp.hAPP @t4992 @t3957))) @t5576))))) % 45.25/45.45 (assume @p4207 (forall @t5081 (= @t4992 (tptp.hAPP (tptp.hAPP @t5586 (tptp.c_Random_Orange @t5578)) (tptp.hAPP @t5585 @t5577))))) % 45.25/45.45 (assume @p4208 (forall @t5081 (= @t5297 (tptp.hAPP (tptp.hAPP @t5586 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4913))) (tptp.hAPP @t5585 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Code__Numeral_Ocode__numeral) @t5051) tptp.c_Code__Numeral_Onat__of)))))) % 45.25/45.45 (assume @p4209 (forall (@list @t1 @t2 @t4912 @t10 @t40) (=> (and @t5587 @t1936) (=> (forall @t7 (=> @t5114 @t42)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t5560) (tptp.hAPP @t5559 (tptp.hAPP (tptp.hAPP @t5511 @t1) @t4912)))))))) % 45.25/45.45 (assume @p4210 (forall @t1380 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5566) @t1254))) % 45.25/45.45 (assume @p4211 (forall @t2408 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5588) @t1258))) % 45.25/45.45 (assume @p4212 (forall @t2376 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t34)) @t34))) % 45.25/45.45 (assume @p4213 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t5567 @t1254) @t1255) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1264 @t5590) @t5589))))) % 45.25/45.45 (assume @p4214 (forall @t2700 (= (= @t5591 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t99)) @t100))) % 45.25/45.45 (assume @p4215 (forall @t2345 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t160) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t159)) @t2775))) % 45.25/45.45 (assume @p4216 (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 @t1349)) % 45.25/45.45 (assume @p4217 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3154 @t445) @t402)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5593) @t5592))))) % 45.25/45.45 (assume @p4218 (forall @t2508 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1190 @t5591) @t1349)))) % 45.25/45.45 (assume @p4219 (forall @t2408 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t3056 @t1258)) (tptp.hAPP @t2196 @t1258)))) % 45.25/45.45 (assume @p4220 (= 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 @t2754) tptp.c_Code__Numeral_Onat__of))) % 45.25/45.45 (assume @p4221 (forall @t1609 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3156 @t445) @t402)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5593) @t5592))))) % 45.25/45.45 (assume @p4222 (forall @t2352 (= @t5594 (tptp.c_Code__Numeral_Onat__of__aux @t1274 @t1700)))) % 45.25/45.45 (assume @p4223 (forall @t1445 (= @t3076 (tptp.hAPP (tptp.hAPP @t1144 @t5594) @t1254)))) % 45.25/45.45 (assume @p4224 (forall @t2408 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t1258) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5588))))) % 45.25/45.45 (assume @p4225 (forall @t1383 (= @t3164 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1091 @t5590) @t5589))))) % 45.25/45.45 (assume @p4226 (forall @t4314 (=> @t5569 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5568) @t99)))) % 45.25/45.45 (assume @p4227 (forall @t1383 (= (tptp.hAPP (tptp.hAPP @t3152 @t1254) @t1255) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1144 @t5590) @t5589))))) % 45.25/45.45 (assume @p4228 (forall @t1383 (= @t3752 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2669 @t5590) @t5589))))) % 45.25/45.45 (assume @p4229 (forall @t1383 (= @t3751 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5590 @t5589))))) % 45.25/45.45 (assume @p4230 (forall @t2408 (=> (not (= @t1258 @t5562)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP (tptp.hAPP @t1091 @t5588) @t1701)) @t5588))))) % 45.25/45.45 (assume @p4231 (forall (@list @t749 @t5595) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5595) @t749) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5595 (tptp.hAPP (tptp.hAPP @t5567 (tptp.hAPP @t3056 @t2796)) @t749)))))) % 45.25/45.45 (assume @p4232 (forall @t5602 (=> @t5601 (= (tptp.hAPP (tptp.hAPP @t239 @t5599) @t5597) @t5080)))) % 45.25/45.45 (assume @p4233 (forall @t5602 (=> @t5601 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 @t5599)) @t287)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 @t5597)) @t4487)))))) % 45.25/45.45 (assume @p4234 (forall @t4011 (= (tptp.c_List_Opartition @t10 @t58 @t5251) @t5277))) % 45.25/45.45 (assume @p4235 (forall @t5605 (= (tptp.c_List_Opartition @t10 @t58 @t4976) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4677 @t4677 @t4684) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4677 @t4928 @t4928) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5604 (tptp.tc_fun @t4928 @t4928) @t4677) (tptp.c_COMBS @t4677 @t4684 @t4684)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4928 @t5604 @t4677) (tptp.hAPP (tptp.c_COMBB @t4684 @t5603 @t4677) (tptp.hAPP (tptp.c_If @t4684) @t60))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4677 @t4928 @t4677) @t4914) @t4975)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4982 @t4928) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4928 (tptp.tc_fun @t4982 @t4928) @t4677) (tptp.c_COMBB @t4677 @t4684 @t4677)) @t4914)) @t4975))) @t5600)))) % 45.25/45.45 (assume @p4236 (forall @t33 (= @t5607 (tptp.hAPP (tptp.hAPP @t5606 (tptp.hAPP @t4981 @t5043)) (tptp.hAPP @t4981 @t5045))))) % 45.25/45.45 (assume @p4237 (forall (@list @t24 @t25 @t159 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5608 @t5043)) (=> (tptp.hBOOL (tptp.hAPP @t5608 @t5045)) (tptp.hBOOL (tptp.hAPP @t5607 @t159)))))) % 45.25/45.45 (assume @p4238 (forall @t53 (tptp.hBOOL (tptp.hAPP @t5609 @t5251)))) % 45.25/45.45 (assume @p4239 (forall (@list @t4912 @t25 @t10) (= @t5610 (forall @t7 (=> @t5114 @t4693))))) % 45.25/45.45 (assume @p4240 (forall @t253 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 @t25)) @t24)) @t49)) (and (tptp.hBOOL (tptp.hAPP @t5609 @t49)) (tptp.hBOOL (tptp.hAPP @t5611 @t49)))))) % 45.25/45.45 (assume @p4241 (forall (@list @t24 @t159 @t25 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5609 @t159)) (=> (tptp.hBOOL (tptp.hAPP @t5611 @t159)) (tptp.hBOOL (tptp.hAPP @t5612 @t159)))))) % 45.25/45.45 (assume @p4242 (forall @t33 (= @t5612 (tptp.hAPP (tptp.hAPP @t5606 @t5609) @t5611)))) % 45.25/45.45 (assume @p4243 (forall (@list @t2102 @t2103 @t25 @t10) (= (tptp.hBOOL (tptp.hAPP @t5609 (tptp.hAPP @t5039 @t2102))) (and (tptp.hBOOL (tptp.hAPP @t25 @t2103)) (tptp.hBOOL (tptp.hAPP @t5609 @t2102)))))) % 45.25/45.45 (assume @p4244 (forall (@list @t4909 @t4912 @t25 @t10) (= (tptp.hBOOL (tptp.hAPP @t5609 @t5346)) (and @t5610 (tptp.hBOOL (tptp.hAPP @t5609 @t4909)))))) % 45.25/45.45 (assume @p4245 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5046 @t5609) @t5611))))) % 45.25/45.45 (assume @p4246 (forall @t533 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 @t3594) @t49)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t49) @t5043))))) % 45.25/45.45 (assume @p4247 (forall @t5304 (= (tptp.c_Enum_Oproduct @t10 @t40 @t4976 @t4909) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t783) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t40 @t783) @t3414) @t4909)) @t5613)))) % 45.25/45.45 (assume @p4248 (forall @t5617 (= @t5616 (and @t5571 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5615 @t5145)) @t5614)))))) % 45.25/45.45 (assume @p4249 (forall (@list @t5618 @t5507 @t2 @t1118 @t58 @t40 @t10) (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 (tptp.hAPP @t5528 @t5507) @t5618) (tptp.c_List_Olist__all2 @t1118 @t40 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t569 @t1118) @t58) @t2) @t5507 @t5618)))) % 45.25/45.45 (assume @p4250 (forall (@list @t5618 @t2 @t1118 @t5507 @t58 @t40 @t10) (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5507 (tptp.hAPP @t5518 @t5618)) (tptp.c_List_Olist__all2 @t10 @t1118 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3237 @t3186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 (tptp.tc_fun @t3237 @t3186) @t10) (tptp.c_COMBB @t40 tptp.tc_HOL_Obool @t1118)) @t58)) @t2) @t5507 @t5618)))) % 45.25/45.45 (assume @p4251 (forall (@list @t445 @t5618 @t5507 @t58 @t40 @t10) (=> (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5507 @t5618) (tptp.c_List_Olist__all2 @t10 @t40 @t58 (tptp.hAPP @t5416 @t5507) (tptp.hAPP @t5553 @t5618))))) % 45.25/45.45 (assume @p4252 (forall (@list @t170 @t174 @t171 @t153 @t58 @t40 @t10) (=> @t5619 (=> (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t174 @t170) (tptp.c_List_Olist__all2 @t10 @t40 @t58 (tptp.hAPP (tptp.hAPP @t5325 @t153) @t174) (tptp.hAPP (tptp.hAPP @t5467 @t171) @t170)))))) % 45.25/45.45 (assume @p4253 (forall (@list @t5380 @t5381 @t58 @t4909 @t40 @t4912 @t10) (=> @t5571 (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5382 (tptp.hAPP (tptp.hAPP @t5467 @t4909) @t5380)) (and @t5616 (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5381 @t5380)))))) % 45.25/45.45 (assume @p4254 (forall (@list @t4909 @t99 @t4912 @t49 @t58 @t40 @t10) (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t4976 @t5313) (and @t3737 @t5616)))) % 45.25/45.45 (assume @p4255 (forall (@list @t445 @t4909 @t4912 @t58 @t40 @t10) (=> @t5616 (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5091 (tptp.hAPP @t5552 @t4909))))) % 45.25/45.45 (assume @p4256 (forall @t5060 (= @t5021 (tptp.c_List_Olist__all2 @t10 @t10 tptp.c_fequal @t4912 @t4909)))) % 45.25/45.45 (assume @p4257 (forall @t5617 (=> @t5616 @t5571))) % 45.25/45.45 (assume @p4258 (forall (@list @t4912 @t58 @t40 @t10) (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t4912 @t5308) @t5252))) % 45.25/45.45 (assume @p4259 (forall (@list @t4909 @t58 @t40 @t10) (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5251 @t4909) (= @t4909 @t5308)))) % 45.25/45.45 (assume @p4260 (forall (@list @t5620 @t10 @t35) (= (tptp.c_Enum_Oproduct @t35 @t10 @t5250 @t5620) @t5271))) % 45.25/45.45 (assume @p4261 (forall @t5617 (= @t5616 (and @t5571 (forall @t1970 (=> @t5059 (tptp.hBOOL (tptp.hAPP @t5110 (tptp.hAPP @t5139 @t1966))))))))) % 45.25/45.45 (assume @p4262 (forall @t5623 (=> @t5616 (=> (tptp.hBOOL (tptp.hAPP @t5622 @t4913)) @t5621)))) % 45.25/45.45 (assume @p4263 (forall @t5623 (=> @t5616 (=> (tptp.hBOOL (tptp.hAPP @t5622 @t5136)) @t5621)))) % 45.25/45.45 (assume @p4264 (forall (@list @t99 @t49 @t4909 @t58 @t40 @t4912 @t10 @t749) (=> @t5221 (=> @t5616 (=> @t3737 @t5624))))) % 45.25/45.45 (assume @p4265 (forall (@list @t749 @t99 @t49 @t4909 @t4912 @t58 @t40 @t10) (=> @t5616 (=> @t3737 (=> (tptp.hBOOL (tptp.hAPP @t1404 @t5136)) @t5624))))) % 45.25/45.45 (assume @p4266 (forall @t5233 (=> @t5231 (=> (tptp.hBOOL (tptp.hAPP @t5224 @t4918)) (tptp.hBOOL (tptp.hAPP @t5232 (tptp.c_Enum_Oproduct @t35 @t10 @t4919 @t4918))))))) % 45.25/45.45 (assume @p4267 (forall @t5146 (= (tptp.hAPP @t5144 @t5613) (tptp.hAPP (tptp.hAPP @t4338 @t5080) (tptp.hAPP @t3256 @t5158))))) % 45.25/45.45 (assume @p4268 (forall @t5081 (= (tptp.hAPP @t5558 (tptp.hAPP @t5626 @t5625)) (tptp.hAPP @t156 @t5080)))) % 45.25/45.45 (assume @p4269 (forall @t5223 (= (tptp.hAPP @t5627 (tptp.c_Enum_Osublists @t35 @t4919)) (tptp.hAPP @t2115 @t4924)))) % 45.25/45.45 (assume @p4270 (forall @t216 (= (tptp.c_Enum_Osublists @t35 @t5250) @t5631))) % 45.25/45.45 (assume @p4271 (forall @t4995 (= (tptp.c_Enum_Osublists @t10 @t4976) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5632 @t5632) @t5625) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5632 @t5632 @t5632) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5632 (tptp.tc_fun @t5632 @t5632) @t5632) (tptp.c_List_Oappend @t4677)) (tptp.hAPP @t5633 @t4975))) (tptp.c_COMBI @t5632)))))) % 45.25/45.45 (assume @p4272 (forall @t5081 (=> @t5226 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t27) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4677 @t27) @t5078) @t5625)))))) % 45.25/45.45 (assume @p4273 (forall @t5093 (= @t5635 (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP @t4941 (tptp.hAPP @t4938 @t5128)) (tptp.hAPP @t5126 @t5080)))))) % 45.25/45.45 (assume @p4274 (forall @t4011 (= (tptp.c_Enum_Oenum__the @t10 @t58) @t5636))) % 45.25/45.45 (assume @p4275 (forall @t5089 (=> @t5231 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4921) @t5637))))) % 45.25/45.45 (assume @p4276 (forall @t5223 (= (tptp.c_Enum_On__lists @t35 @t1700 @t4919) @t5631))) % 45.25/45.45 (assume @p4277 (forall (@list @t35 @t1254) (and (=> @t1730 (= @t5638 @t5631)) (=> @t1731 (= @t5638 @t5628))))) % 45.25/45.45 (assume @p4278 (forall @t5105 (= (tptp.hAPP @t5627 @t5637) (tptp.hAPP (tptp.hAPP @t2114 @t4924) @t1254)))) % 45.25/45.45 (assume @p4279 (forall (@list @t4912 @t445 @t4909 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5345 @t5635)) @t4911))) % 45.25/45.45 (assume @p4280 (forall (@list @t58 @t171 @t153 @t40 @t10) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5615 (tptp.hAPP @t5144 (tptp.hAPP (tptp.hAPP @t5141 @t153) @t171)))) @t5614)) (=> @t5640 @t5619)))) % 45.25/45.45 (assume @p4281 (forall (@list @t49 @t58 @t4912 @t10) (=> @t5113 (=> @t5097 @t61)))) % 45.25/45.45 (assume @p4282 (forall @t5471 (=> @t1519 (= @t5470 (tptp.hAPP @t5469 @t5641))))) % 45.25/45.45 (assume @p4283 (forall @t5645 (=> (tptp.c_Fun_Oinj__on @t10 @t40 @t2 @t5108) @t5644))) % 45.25/45.45 (assume @p4284 (forall @t5223 (tptp.hBOOL (tptp.hAPP @t5230 @t5646)))) % 45.25/45.45 (assume @p4285 (forall @t5223 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 (tptp.hAPP @t4922 @t5646)) @t4924)))) % 45.25/45.45 (assume @p4286 (forall @t5081 (= @t5647 @t5226))) % 45.25/45.45 (assume @p4287 (forall @t5260 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5649))))) % 45.25/45.45 (assume @p4288 (forall @t5223 (=> @t5231 (= @t5646 @t4919)))) % 45.25/45.45 (assume @p4289 (forall @t5081 (= (tptp.hAPP @t5078 @t5641) @t5080))) % 45.25/45.45 (assume @p4290 (forall @t5081 (= (= @t5650 @t4913) @t5647))) % 45.25/45.45 (assume @p4291 (forall @t5223 (= (tptp.c_List_Oremdups @t35 @t5646) @t5646))) % 45.25/45.45 (assume @p4292 (forall @t216 (= (tptp.c_List_Oremdups @t35 @t5250) @t5250))) % 45.25/45.45 (assume @p4293 (forall @t195 (= (= @t5251 @t5652) @t5651))) % 45.25/45.45 (assume @p4294 (forall @t39 (= (tptp.hAPP @t5648 @t5250) @t5250))) % 45.25/45.45 (assume @p4295 (forall @t195 (= (= @t5652 @t5251) @t5651))) % 45.25/45.45 (assume @p4296 (forall @t5263 (and (=> @t78 (= @t5653 @t5649)) (=> @t450 (= @t5653 (tptp.hAPP @t5213 @t5649)))))) % 45.25/45.45 (assume @p4297 (forall @t5344 (= (tptp.hAPP @t5648 @t5343) (tptp.hAPP (tptp.hAPP @t5338 @t5649) (tptp.hAPP @t5648 @t4918))))) % 45.25/45.45 (assume @p4298 (forall @t5536 (= (tptp.c_List_Oremdups @t10 (tptp.hAPP @t5521 (tptp.c_List_Oremdups @t40 @t4912))) (tptp.c_List_Oremdups @t10 @t5522)))) % 45.25/45.45 (assume @p4299 (forall @t5260 (=> @t5231 (= (tptp.c_List_Oremove1 @t35 @t34 @t5646) (tptp.c_List_Oremdups @t35 @t5259))))) % 45.25/45.45 (assume @p4300 (forall @t4995 (=> @t5101 (= @t5643 @t4912)))) % 45.25/45.45 (assume @p4301 (forall @t5260 (=> @t5231 (= @t5259 @t5649)))) % 45.25/45.45 (assume @p4302 (forall @t4995 (and (=> @t5097 (= @t5654 @t5641)) (=> @t5101 (= @t5654 (tptp.hAPP @t4975 @t5641)))))) % 45.25/45.45 (assume @p4303 (forall @t5081 (= @t5650 @t5109))) % 45.25/45.45 (assume @p4304 (forall @t5645 (=> @t684 @t5644))) % 45.25/45.45 (assume @p4305 (forall @t4995 (= (tptp.hAPP @t5078 @t5643) @t5246))) % 45.25/45.45 (assume @p4306 (forall @t5659 (= (tptp.hAPP @t4907 (tptp.c_List_Oremdups @t10 @t5658)) (tptp.hAPP @t1528 (tptp.hAPP (tptp.hAPP @t5657 @t5656) @t5078))))) % 45.25/45.45 (assume @p4307 (forall @t5081 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t5080) (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t3442 @t5641))))) % 45.25/45.45 (assume @p4308 (forall @t576 (=> @t648 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t40 @t2 @t5251) @t5251)))) % 45.25/45.45 (assume @p4309 (forall (@list @t5655 @t4912 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4677 @t4677 @t5325 @t4912) @t5655) (tptp.hAPP @t5330 @t5658)))) % 45.25/45.45 (assume @p4310 (forall @t5659 (= @t5658 (tptp.hAPP (tptp.c_List_Ofoldl @t4677 @t4677 @t5325 @t5251) @t5655)))) % 45.25/45.45 (assume @p4311 (forall @t5523 (=> @t648 (= (tptp.hAPP @t4907 @t5660) @t4913)))) % 45.25/45.45 (assume @p4312 (forall @t5523 (=> @t648 (= (tptp.hAPP @t5078 @t5660) @t5080)))) % 45.25/45.45 (assume @p4313 (forall @t5523 (=> @t648 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5660)) @t5226)))) % 45.25/45.45 (assume @p4314 (forall @t216 (= (tptp.c_List_Oconcat @t35 @t5628) @t5250))) % 45.25/45.45 (assume @p4315 (forall @t4968 (= (tptp.c_List_Oconcat @t35 (tptp.hAPP (tptp.hAPP @t5629 @t34) @t4919)) (tptp.hAPP (tptp.hAPP @t5338 @t34) @t5661)))) % 45.25/45.45 (assume @p4316 (forall @t5659 (= (= @t5251 @t5658) @t5664))) % 45.25/45.45 (assume @p4317 (forall @t5659 (= (= @t5658 @t5251) @t5664))) % 45.25/45.45 (assume @p4318 (forall @t5523 (= (tptp.hAPP @t5521 (tptp.c_List_Oconcat @t40 @t4912)) (tptp.c_List_Oconcat @t10 @t5666)))) % 45.25/45.45 (assume @p4319 (forall @t5659 (= (tptp.hAPP @t4907 @t5658) (tptp.hAPP @t5169 (tptp.hAPP @t5667 @t5655))))) % 45.25/45.45 (assume @p4320 (forall @t5081 (= (tptp.hAPP @t5078 @t5669) (tptp.hAPP (tptp.hAPP @t5657 @t5668) @t5078)))) % 45.25/45.45 (assume @p4321 (forall @t5486 (=> @t648 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t40 @t2 @t4976) (tptp.hAPP @t5480 @t5660))))) % 45.25/45.45 (assume @p4322 (forall @t4925 (= (tptp.c_List_Oconcat @t35 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t4921) @t4919) @t4918)) (tptp.hAPP (tptp.hAPP @t5338 @t5661) (tptp.c_List_Oconcat @t35 @t4918))))) % 45.25/45.45 (assume @p4323 (forall @t5081 (=> @t116 (= @t5670 (tptp.hAPP (tptp.c_List_Ofoldl @t4677 @t10 (tptp.hAPP @t5291 @t5476) @t5251) @t4912))))) % 45.25/45.45 (assume @p4324 (forall @t5361 (=> @t5675 (=> @t5674 (= @t5671 @t5021))))) % 45.25/45.45 (assume @p4325 (forall @t5361 (=> @t5671 (=> @t5674 (=> @t5675 @t5021))))) % 45.25/45.45 (assume @p4326 (forall @t5536 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5676 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t4677 @t4677) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t4982 @t40) @t4956) @t2)) @t5251)) @t4912)) @t5522))) % 45.25/45.45 (assume @p4327 (forall @t5093 (= (tptp.c_Enum_On__lists @t10 @t1604 @t4912) (tptp.c_List_Oconcat @t4677 (tptp.hAPP (tptp.hAPP @t5678 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4677 @t4677 @t5632) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t4677) @t5677 @t4677) (tptp.c_List_Omap @t10 @t4677)) @t5292)) @t4912)) @t5634))))) % 45.25/45.45 (assume @p4328 (forall @t5685 @t5684)) % 45.25/45.45 (assume @p4329 (forall @t5659 (= @t5682 (tptp.hAPP (tptp.hAPP @t5689 @t5441) @t5688)))) % 45.25/45.45 (assume @p4330 (forall @t5691 (= (tptp.hAPP @t5690 @t5669) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5633 @t5690) @t4912))))) % 45.25/45.45 (assume @p4331 (forall (@list @t4912 @t2 @t58 @t10 @t40) (=> @t648 (= (tptp.hAPP @t5692 @t5660) (tptp.c_List_Olinorder__class_Osort__key @t10 @t40 @t2 @t5693))))) % 45.25/45.45 (assume @p4332 (forall @t5116 (=> @t5226 (tptp.hBOOL (tptp.hAPP @t5224 @t5693))))) % 45.25/45.45 (assume @p4333 (forall @t5695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t5694) @t5080)))) % 45.25/45.45 (assume @p4334 (forall @t5695 (= (= @t5693 @t4912) @t5115))) % 45.25/45.45 (assume @p4335 (forall @t5695 (= (tptp.hAPP (tptp.hAPP @t1144 @t5696) (tptp.hAPP @t4907 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t4478) @t4912))) @t4913))) % 45.25/45.45 (assume @p4336 (forall @t5695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5696) @t4913)))) % 45.25/45.45 (assume @p4337 (forall (@list @t4912 @t55 @t58 @t10) (= (tptp.hAPP @t5692 @t5698) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 @t55)) @t58)) @t4912)))) % 45.25/45.45 (assume @p4338 (forall @t5700 (=> @t5699 (= (tptp.c_List_Oremove1 @t10 @t49 @t5693) @t5693)))) % 45.25/45.45 (assume @p4339 (forall (@list @t4912 @t49 @t55 @t10) (= (tptp.hAPP @t5697 @t5247) (tptp.c_List_Oremove1 @t10 @t49 @t5698)))) % 45.25/45.45 (assume @p4340 (forall (@list @t4912 @t2 @t10 @t49 @t58 @t40) (=> @t648 (=> @t5699 (= (tptp.hAPP @t5692 @t5485) @t5693))))) % 45.25/45.45 (assume @p4341 (forall @t5695 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4677 @t4677) @t5600) @t5693))) % 45.25/45.45 (assume @p4342 (forall @t5695 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4677 @t4677) @t5600) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5701 @t58)) @t4912)))) % 45.25/45.45 (assume @p4343 (forall @t5580 (= (tptp.c_List_Opartition @t10 @t2 @t4912) (tptp.hAPP (tptp.hAPP @t4914 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t2) @t4912)) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5701 @t2)) @t4912))))) % 45.25/45.45 (assume @p4344 (forall @t5705 (= @t5704 (tptp.hAPP @t5521 @t5703)))) % 45.25/45.45 (assume @p4345 (forall @t216 (= (tptp.c_List_Otranspose @t35 @t5628) @t5628))) % 45.25/45.45 (assume @p4346 (forall @t4011 (= (tptp.hAPP @t5692 @t5251) @t5251))) % 45.25/45.45 (assume @p4347 (forall @t5700 (and (=> @t61 (= @t5706 (tptp.hAPP @t4975 @t5693))) (=> @t5699 (= @t5706 @t5693))))) % 45.25/45.45 (assume @p4348 (forall @t5708 (= (tptp.hAPP @t5692 @t5346) (tptp.hAPP (tptp.hAPP @t5325 @t5693) @t5707)))) % 45.25/45.45 (assume @p4349 (forall @t5695 (= (= @t5693 @t5251) (forall @t7 (=> @t5114 @t4487))))) % 45.25/45.45 (assume @p4350 (forall @t5705 (= (tptp.hAPP @t4907 @t5704) (tptp.hAPP @t5135 @t5703)))) % 45.25/45.45 (assume @p4351 (forall @t5700 (=> @t5699 (= (tptp.hAPP @t5642 @t5693) @t5693)))) % 45.25/45.45 (assume @p4352 (forall @t5695 (= (tptp.c_List_Oremdups @t10 @t5693) (tptp.hAPP @t5692 @t5641)))) % 45.25/45.45 (assume @p4353 (forall @t195 (= @t5642 (tptp.c_List_Ofilter @t10 (tptp.hAPP @t4477 @t4288))))) % 45.25/45.45 (assume @p4354 (forall (@list @t5709 @t35) (= (tptp.c_List_Otranspose @t35 (tptp.hAPP @t5630 @t5709)) (tptp.c_List_Otranspose @t35 @t5709)))) % 45.25/45.45 (assume @p4355 (forall @t5579 (=> @t5717 (= @t5715 (tptp.hAPP @t5712 @t5711))))) % 45.25/45.45 (assume @p4356 (forall @t5536 (= (tptp.c_List_Otranspose @t10 @t5666) (tptp.hAPP @t5665 (tptp.c_List_Otranspose @t40 @t4912))))) % 45.25/45.45 (assume @p4357 (forall @t5695 (= @t5694 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4188 (tptp.hAPP @t3422 @t5080))) @t58))))) % 45.25/45.45 (assume @p4358 (forall (@list @t58 @t4912 @t49 @t10) (=> @t5097 (=> @t5699 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5696) @t4913)))))) % 45.25/45.45 (assume @p4359 (forall @t5718 (= (tptp.hAPP @t5225 @t1531) (tptp.hAPP @t5078 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t4477 (tptp.hAPP @t3563 @t99))) @t4912))))) % 45.25/45.45 (assume @p4360 (forall @t5583 (=> @t5226 (= (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t3422 (tptp.hAPP @t5078 @t5719))) @t4912) @t5719)))) % 45.25/45.45 (assume @p4361 (forall @t5081 (= (= @t5713 @t5679) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5663 @t5668)) @t5662))))) % 45.25/45.45 (assume @p4362 (forall @t5691 (= (tptp.hAPP @t4907 (tptp.hAPP @t5690 @t4912)) (tptp.hAPP @t1532 (tptp.hAPP @t4446 (tptp.hAPP @t4948 (tptp.hAPP (tptp.hAPP @t5072 @t1072) @t5051))))))) % 45.25/45.45 (assume @p4363 (forall @t5659 (= @t5681 (tptp.hAPP (tptp.hAPP @t5633 @t5458) @t5688)))) % 45.25/45.45 (assume @p4364 (forall @t5685 (=> (tptp.hBOOL (tptp.hAPP @t5720 @t5683)) @t5684))) % 45.25/45.45 (assume @p4365 (forall @t5659 (=> (tptp.hBOOL (tptp.hAPP @t5720 @t5721)) (= (tptp.c_List_Otranspose @t10 @t5721) (tptp.c_List_Otranspose @t10 @t5655))))) % 45.25/45.45 (assume @p4366 (forall (@list @t5722 @t4912 @t58 @t10) (= (tptp.hAPP @t5728 (tptp.hAPP (tptp.c_List_Ofilter @t5726 (tptp.hAPP @t5727 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5726) tptp.c_Nat_OSuc) @t5725))) (tptp.hAPP @t5724 @t5722))) (tptp.hAPP @t5728 (tptp.hAPP (tptp.c_List_Ofilter @t5726 (tptp.hAPP @t5727 @t5725)) (tptp.hAPP @t5724 (tptp.hAPP @t5723 @t5722))))))) % 45.25/45.45 (assume @p4367 (forall @t5081 (= (tptp.c_Random_Oselect__weight @t10 @t5729) @t4992))) % 45.25/45.45 (assume @p4368 (forall @t5081 (= (tptp.c_Random_Opick @t10 @t5729) @t5577))) % 45.25/45.45 (assume @p4369 (forall @t144 (=> (tptp.hBOOL (tptp.hAPP @t5720 @t5679)) (= (tptp.c_List_Otranspose @t10 @t5679) @t5679)))) % 45.25/45.45 (assume @p4370 (forall @t5081 (= (tptp.c_List_Ofoldr @t4677 tptp.tc_Nat_Onat @t5730 @t5713 @t1700) (tptp.hAPP @t5672 (tptp.hAPP @t5687 @t4912))))) % 45.25/45.45 (assume @p4371 (forall (@list @t5655 @t40 @t4912 @t10) (= (tptp.hAPP (tptp.hAPP @t1414 @t5487) (tptp.c_List_Ofoldr @t5134 tptp.tc_Nat_Onat (tptp.hAPP @t5732 @t5135) @t5655 @t1700)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1414 @t4913) (tptp.c_List_Ofoldr @t5134 tptp.tc_Nat_Onat (tptp.hAPP @t5732 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5134 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5731 @t1091) @t5135)) @t1701)) (tptp.hAPP (tptp.c_List_Ofilter @t5134 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5134) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5134 @t5134 tptp.tc_HOL_Obool) tptp.c_fequal) @t5308))) @t5655) @t1700)))))) % 45.25/45.45 (assume @p4372 (forall (@list @t153 @t2 @t10 @t40) (= (tptp.c_List_Ofoldr @t40 @t10 @t2 @t5308 @t153) @t153))) % 45.25/45.45 (assume @p4373 (forall (@list @t153 @t4912 @t49 @t2 @t10 @t40) (= (tptp.c_List_Ofoldr @t40 @t10 @t2 @t5465 @t153) (tptp.hAPP @t51 @t5733)))) % 45.25/45.45 (assume @p4374 (forall (@list @t153 @t4909 @t4912 @t2 @t10 @t40) (= (tptp.c_List_Ofoldr @t40 @t10 @t2 @t5468 @t153) (tptp.c_List_Ofoldr @t40 @t10 @t2 @t4912 (tptp.c_List_Ofoldr @t40 @t10 @t2 @t4909 @t153))))) % 45.25/45.45 (assume @p4375 (forall (@list @t153 @t4912 @t10) (=> (tptp.class_Groups_Oab__semigroup__add @t10) (= (tptp.c_List_Ofoldr @t10 @t10 @t1130 @t4912 @t153) @t5734)))) % 45.25/45.45 (assume @p4376 (forall (@list @t153 @t4912 @t2 @t1118 @t1 @t10 @t40) (= (tptp.c_List_Ofoldr @t40 @t10 @t1 @t5519 @t153) (tptp.c_List_Ofoldr @t1118 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t3325 @t1118 @t1) @t2) @t4912 @t153)))) % 45.25/45.45 (assume @p4377 (forall @t5736 (=> @t5463 (= @t5734 (tptp.hAPP @t1171 @t5735))))) % 45.25/45.45 (assume @p4378 (forall @t5081 (=> @t5463 (= (tptp.hAPP @t5462 @t4912) @t5735)))) % 45.25/45.45 (assume @p4379 (forall @t5081 (= @t5716 (tptp.c_List_Ofoldr @t4677 tptp.tc_Nat_Onat @t5730 @t4912 @t1700)))) % 45.25/45.45 (assume @p4380 (forall @t5120 (= (tptp.c_List_Osublist @t10 @t4912 @t25) (tptp.hAPP @t5728 (tptp.hAPP @t5741 @t5738))))) % 45.25/45.45 (assume @p4381 (forall (@list @t749 @t4912 @t25 @t10) (= (tptp.hAPP @t5728 (tptp.hAPP @t5741 (tptp.hAPP @t5724 (tptp.c_List_Oupt @t749 (tptp.hAPP @t1400 @t4913))))) (tptp.hAPP @t5728 (tptp.hAPP (tptp.c_List_Ofilter @t5726 (tptp.hAPP (tptp.hAPP @t5740 (tptp.hAPP @t5739 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5726 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 @t5726) @t1144) @t5725)) @t749))) @t25)) @t5738))))) % 45.25/45.45 (assume @p4382 (forall @t1639 (= @t5743 @t1148))) % 45.25/45.45 (assume @p4383 (forall @t1639 (= @t1148 @t5743))) % 45.25/45.45 (assume @p4384 (forall @t1348 (and @t5750 (=> (not @t1389) (= @t5745 @t5744))))) % 45.25/45.45 (assume @p4385 (forall @t1348 @t5750)) % 45.25/45.45 (assume @p4386 (forall @t1326 (=> @t1389 (= (tptp.c_List_Oupt @t1274 @t1340) (tptp.hAPP @t5749 (tptp.c_List_Oupt @t1273 @t1340)))))) % 45.25/45.45 (assume @p4387 (forall @t1348 (and @t5752 (=> (not @t1338) @t5751)))) % 45.25/45.45 (assume @p4388 (forall @t1348 @t5752)) % 45.25/45.45 (assume @p4389 (forall @t1347 (=> @t1283 @t5751))) % 45.25/45.45 (assume @p4390 (forall @t1639 (= (= @t5742 @t5744) (or (= @t1143 @t1700) @t1270)))) % 45.25/45.45 (assume @p4391 (forall @t2352 (= (tptp.c_List_Oupt @t1274 @t1700) @t5744))) % 45.25/45.45 (assume @p4392 (forall @t2185 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t1658) @t1254)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t1255) (tptp.c_List_Oupt @t1274 @t1254)) (tptp.c_List_Oupt @t1274 @t1658))))) % 45.25/45.45 (assume @p4393 (forall @t1373 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t1077) @t5753))) % 45.25/45.45 (assume @p4394 (forall @t1348 (=> @t1338 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5747) @t1274)))) % 45.25/45.45 (assume @p4395 (forall (@list @t1273 @t1274 @t1255) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t1255) @t5747) (tptp.c_List_Oupt @t1658 @t1273)))) % 45.25/45.45 (assume @p4396 (forall @t1348 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5747)))) % 45.25/45.45 (assume @p4397 (forall @t1348 (= (tptp.hAPP @t5177 @t5747) @t1450))) % 45.25/45.45 (assume @p4398 (forall @t1321 (and (=> @t5757 (= @t5756 (tptp.hAPP (tptp.hAPP @t5746 @t5755) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5755) @t5754)))) (=> (not @t5757) (= @t5756 @t5744))))) % 45.25/45.45 (assume @p4399 (forall (@list @t4912 @t49 @t1143 @t749) (= (= @t5742 (tptp.hAPP (tptp.hAPP @t5746 @t49) @t4912)) (and (tptp.hBOOL (tptp.hAPP @t1404 @t1143)) (= @t749 @t49) (= (tptp.c_List_Oupt (tptp.hAPP @t1400 @t1569) @t1143) @t4912))))) % 45.25/45.45 (assume @p4400 (forall @t1348 (=> @t1338 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5747) (tptp.hAPP @t1407 @t1569))))) % 45.25/45.45 (assume @p4401 (forall @t1373 (= (tptp.hAPP @t5723 @t5753) (tptp.c_List_Oupt @t1602 @t1604)))) % 45.25/45.45 (assume @p4402 (forall @t1609 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t445 @t402) (tptp.hAPP @t5166 (tptp.c_List_Oupt @t445 @t1602))))) % 45.25/45.45 (assume @p4403 (forall @t1735 (= @t1867 (tptp.hAPP @t5166 @t5758)))) % 45.25/45.45 (assume @p4404 (forall (@list @t1273 @t1258 @t1274) (=> (tptp.hBOOL (tptp.hAPP @t1337 @t1273)) (= (tptp.hAPP (tptp.hAPP @t5174 @t5747) @t1258) @t1336)))) % 45.25/45.45 (assume @p4405 (forall @t1609 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t445 @t402) (tptp.hAPP @t5166 (tptp.c_List_Oupt @t1604 @t1602))))) % 45.25/45.45 (assume @p4406 (forall @t1609 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t445 @t402) (tptp.hAPP @t5166 (tptp.c_List_Oupt @t1604 @t402))))) % 45.25/45.45 (assume @p4407 (forall @t1735 (= @t1870 (tptp.hAPP @t5166 (tptp.c_List_Oupt @t1700 @t1604))))) % 45.25/45.45 (assume @p4408 (forall @t5081 (= (tptp.hAPP (tptp.hAPP @t5759 @t5051) @t5737) @t4912))) % 45.25/45.45 (assume @p4409 (forall @t3230 (=> @t1132 (= @t5762 @t5761)))) % 45.25/45.45 (assume @p4410 (forall @t3230 (=> @t1132 (= @t5761 @t5762)))) % 45.25/45.45 (assume @p4411 (forall (@list @t2 @t10 @t402 @t445 @t749) (=> (tptp.hBOOL (tptp.hAPP @t1404 @t1858)) (= (tptp.hAPP (tptp.hAPP @t5049 @t5760) @t749) (tptp.hAPP @t2 (tptp.hAPP @t1297 @t749)))))) % 45.25/45.45 (assume @p4412 (forall (@list @t445 @t10 @t4912) (=> (=> @t5764 @t1733) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3145 @t5673)) (= (tptp.hAPP @t4907 (tptp.hAPP @t5763 @t1966)) @t445))) (= @t5713 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4677) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5176 @t4677) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5073 (tptp.tc_fun @t5176 @t4677) tptp.tc_Nat_Onat) @t5759) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4677 @t5073 tptp.tc_Nat_Onat) @t5049) @t5763)))) (tptp.c_List_Oupt @t1700 @t5673))) @t5758)))))) % 45.25/45.45 (assume @p4413 (forall (@list @t2 @t4912 @t153 @t10 @t40) (=> @t648 (=> @t5153 (=> @t5766 (=> (= (tptp.hAPP @t5441 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4480 (tptp.hAPP tptp.c_fequal @t579)) @t2)) @t4912)) @t153) (= (tptp.hAPP @t5492 @t5765) @t4912))))))) % 45.25/45.45 (assume @p4414 (forall @t216 (=> @t70 (tptp.c_List_Olinorder__class_Osorted @t35 @t5250)))) % 45.25/45.45 (assume @p4415 (forall @t39 (=> @t70 (tptp.c_List_Olinorder__class_Osorted @t35 @t5276)))) % 45.25/45.45 (assume @p4416 (forall @t1348 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5747))) % 45.25/45.45 (assume @p4417 (forall @t5081 (=> @t116 (tptp.c_List_Olinorder__class_Osorted @t10 @t5670)))) % 45.25/45.45 (assume @p4418 (forall @t5084 (=> @t116 (=> @t5767 (tptp.c_List_Olinorder__class_Osorted @t10 @t5498))))) % 45.25/45.45 (assume @p4419 (forall @t5089 (=> @t70 (=> @t5768 (tptp.c_List_Olinorder__class_Osorted @t35 @t5405))))) % 45.25/45.45 (assume @p4420 (forall @t1348 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5227))) % 45.25/45.45 (assume @p4421 (forall @t5089 (=> @t70 (=> @t5768 (tptp.c_List_Olinorder__class_Osorted @t35 @t5087))))) % 45.25/45.45 (assume @p4422 (forall (@list @t83 @t4919 @t35) (=> @t70 (=> @t5768 (tptp.c_List_Olinorder__class_Osorted @t35 (tptp.c_List_Oremove1 @t35 @t83 @t4919)))))) % 45.25/45.45 (assume @p4423 (forall @t5223 (=> @t70 (=> @t5768 (tptp.c_List_Olinorder__class_Osorted @t35 @t5446))))) % 45.25/45.45 (assume @p4424 (forall @t4995 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5488) @t5767)))) % 45.25/45.45 (assume @p4425 (forall @t5223 (=> @t70 (=> @t5257 (=> @t5768 (tptp.c_List_Olinorder__class_Osorted @t35 @t5195)))))) % 45.25/45.45 (assume @p4426 (forall @t5270 (=> @t70 (=> @t69 (=> (tptp.c_List_Olinorder__class_Osorted @t35 @t5769) (tptp.c_List_Olinorder__class_Osorted @t35 (tptp.hAPP @t4960 @t5769))))))) % 45.25/45.45 (assume @p4427 (forall @t5461 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t4975 @t5770)) (and @t103 (tptp.c_List_Olinorder__class_Osorted @t10 @t5770)))))) % 45.25/45.45 (assume @p4428 (forall (@list @t1331 @t35) (=> @t70 (=> (tptp.c_List_Olinorder__class_Osorted @t35 @t1331) (tptp.c_List_Olinorder__class_Osorted @t35 (tptp.c_List_Oremdups @t35 @t1331)))))) % 45.25/45.45 (assume @p4429 (forall @t5361 (=> @t116 (=> @t5767 (=> @t5226 (=> @t5772 (=> @t5386 @t5771))))))) % 45.25/45.45 (assume @p4430 (forall @t5536 (=> @t116 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 (tptp.c_List_Olinorder__class_Osort__key @t40 @t10 @t2 @t4912)))))) % 45.25/45.45 (assume @p4431 (forall @t5774 (=> @t116 (=> @t5773 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 @t5494)))))) % 45.25/45.45 (assume @p4432 (forall @t5774 (=> @t116 (=> @t5773 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 (tptp.c_List_Oremove1 @t40 @t49 @t4912))))))) % 45.25/45.45 (assume @p4433 (forall @t5645 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 @t5491)) @t5773)))) % 45.25/45.45 (assume @p4434 (forall (@list @t58 @t4912 @t2 @t40 @t10) (=> @t116 (=> @t5773 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 @t5776)))))) % 45.25/45.45 (assume @p4435 (forall @t5542 (=> @t116 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5521 (tptp.hAPP (tptp.c_List_Ofilter @t40 (tptp.hAPP (tptp.hAPP @t4534 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t27 @t40) tptp.c_fequal) @t2)) @t5777)) @t4912)))))) % 45.25/45.45 (assume @p4436 (forall (@list @t4912 @t1 @t10) (=> @t116 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t3563 @t5777)) @t4912))))) % 45.25/45.45 (assume @p4437 (forall @t4995 (=> @t116 (= @t5779 (and @t5767 @t5778))))) % 45.25/45.45 (assume @p4438 (forall @t5361 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5346) (and @t5767 @t5772 (forall @t7 (=> @t5114 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 @t5359)) @t4005))))))))) % 45.25/45.45 (assume @p4439 (forall (@list @t49 @t58 @t4912 @t2 @t40 @t10) (=> @t116 (=> @t5773 (=> @t61 (= (tptp.hAPP @t5775 @t5491) (tptp.hAPP @t5482 @t5776))))))) % 45.25/45.45 (assume @p4440 (forall (@list @t2103 @t2102 @t10) (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5038 @t2103)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t5078 @t2103))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t2102) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t10 @t2103)))))) % 45.25/45.45 (assume @p4441 (forall @t53 (=> @t116 (=> @t675 (and (= (tptp.hAPP @t5078 @t5314) @t25) (tptp.c_List_Olinorder__class_Osorted @t10 @t5314) (tptp.hBOOL (tptp.hAPP @t5224 @t5314))))))) % 45.25/45.45 (assume @p4442 (forall @t5736 (=> @t116 (=> @t5153 (=> @t5767 (= (tptp.hAPP (tptp.hAPP @t5476 @t153) @t5765) @t4912)))))) % 45.25/45.45 (assume @p4443 (forall @t5081 (=> @t116 (= @t5767 (forall @t1850 (=> @t5237 (forall @t1970 (=> @t5780 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t5058) @t5236)))))))))) % 45.25/45.45 (assume @p4444 (forall @t5782 (=> @t70 (=> @t5768 (=> @t1389 (=> @t5781 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t5094) @t5190)))))))) % 45.25/45.45 (assume @p4445 (forall @t5548 (=> @t648 (=> @t5556 (=> @t5766 (=> (tptp.hBOOL (tptp.hAPP @t5557 @t5515)) (=> (tptp.c_List_Olinorder__class_Osorted @t40 @t5543) (=> (tptp.hBOOL (tptp.hAPP @t5557 @t5543)) @t5771)))))))) % 45.25/45.45 (assume @p4446 (forall @t5788 (=> @t5787 (=> @t5785 (= (tptp.hAPP @t5712 @t5784) @t5783))))) % 45.25/45.45 (assume @p4447 (forall @t5240 (=> @t5787 (=> @t5717 (=> (tptp.hBOOL (tptp.hAPP @t5239 (tptp.hAPP @t5672 @t5711))) (= (tptp.hAPP (tptp.hAPP @t5049 @t5715) @t1143) (tptp.hAPP (tptp.hAPP @t5049 (tptp.hAPP @t5763 @t1143)) @t749))))))) % 45.25/45.45 (assume @p4448 (forall @t53 (tptp.c_Fun_Oinj__on @t4677 @t4677 @t5789 @t25))) % 45.25/45.45 (assume @p4449 (forall @t5081 (= (tptp.hBOOL (tptp.hAPP @t5224 @t5790)) @t5226))) % 45.25/45.45 (assume @p4450 (forall @t216 (= (tptp.hAPP @t5791 @t5250) @t5250))) % 45.25/45.45 (assume @p4451 (forall @t5081 (= (= @t5251 @t5790) @t5252))) % 45.25/45.45 (assume @p4452 (forall @t5081 (= (= @t5790 @t5251) @t5252))) % 45.25/45.45 (assume @p4453 (forall @t5084 (= (= @t5790 @t5282) @t5792))) % 45.25/45.45 (assume @p4454 (forall @t4995 (= (= @t5282 @t5790) @t5792))) % 45.25/45.45 (assume @p4455 (forall @t4925 (= (tptp.hAPP @t5791 @t5343) (tptp.hAPP (tptp.hAPP @t5338 (tptp.hAPP @t5791 @t4918)) @t5793)))) % 45.25/45.45 (assume @p4456 (forall @t5081 (= (tptp.hAPP @t5789 @t5669) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5633 @t5789) (tptp.hAPP (tptp.c_List_Orev @t4677) @t4912)))))) % 45.25/45.45 (assume @p4457 (forall @t5536 (= @t5796 (tptp.hAPP @t5521 @t5795)))) % 45.25/45.45 (assume @p4458 (forall @t5695 (= (tptp.hAPP @t5789 @t5693) (tptp.hAPP @t5692 @t5790)))) % 45.25/45.45 (assume @p4459 (forall @t5233 (=> (= @t4924 @t5152) (= (tptp.hAPP (tptp.hAPP @t5147 @t5793) (tptp.hAPP @t5789 @t4918)) (tptp.hAPP (tptp.c_List_Orev @t5150) @t5149))))) % 45.25/45.45 (assume @p4460 (forall @t5081 (= (tptp.hAPP @t5078 @t5790) @t5080))) % 45.25/45.45 (assume @p4461 (forall @t5617 (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5790 @t4909) (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t4912 @t5797)))) % 45.25/45.45 (assume @p4462 (forall @t5617 (= (tptp.c_List_Olist__all2 @t10 @t40 @t58 @t5790 @t5797) @t5616))) % 45.25/45.45 (assume @p4463 (forall @t5361 (= (= @t5790 @t5798) @t5021))) % 45.25/45.45 (assume @p4464 (forall @t5361 (= (= @t5790 @t4909) (= @t4912 @t5798)))) % 45.25/45.45 (assume @p4465 (forall @t5223 (= (tptp.hAPP @t5791 @t5793) @t4919))) % 45.25/45.45 (assume @p4466 (forall @t5223 (=> @t1711 (= (tptp.hAPP @t5179 @t5793) @t5180)))) % 45.25/45.45 (assume @p4467 (forall @t5223 (= (tptp.hAPP @t4922 @t5793) @t4924))) % 45.25/45.45 (assume @p4468 (forall (@list @t153 @t4912 @t2 @t10 @t40) (= @t5733 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t40 (tptp.hAPP @t3328 @t2) @t153) @t5795)))) % 45.25/45.45 (assume @p4469 (forall (@list @t4912 @t153 @t2 @t40 @t10) (= @t5466 (tptp.c_List_Ofoldr @t40 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t40 @t10) @t2) @t5795 @t153)))) % 45.25/45.45 (assume @p4470 (forall @t4968 (= (tptp.hAPP @t5791 @t4967) (tptp.hAPP (tptp.hAPP @t5338 @t5793) @t5276)))) % 45.25/45.45 (assume @p4471 (forall (@list @t4909 @t99 @t4912 @t10) (= (= @t5790 @t4974) (= @t4912 (tptp.hAPP (tptp.hAPP @t5325 @t5798) @t5327))))) % 45.25/45.45 (assume @p4472 (forall @t5258 (=> @t5257 (= (tptp.c_List_Olast @t35 @t5793) @t5437)))) % 45.25/45.45 (assume @p4473 (forall @t5258 (=> @t5257 (= (tptp.hAPP @t5434 @t5793) @t5499)))) % 45.25/45.45 (assume @p4474 (forall @t5081 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5786 (tptp.hAPP @t5667 @t5713))))) % 45.25/45.45 (assume @p4475 (forall @t5081 (= @t5790 (tptp.hAPP (tptp.c_List_Ofoldl @t4677 @t10 @t5292 @t5251) @t4912)))) % 45.25/45.45 (assume @p4476 (forall @t5800 (= (tptp.hAPP @t5791 @t5408) (tptp.hAPP (tptp.hAPP @t5085 @t5799) @t5793)))) % 45.25/45.45 (assume @p4477 (forall @t5800 (= (tptp.hAPP @t5791 @t5229) (tptp.hAPP (tptp.hAPP @t5402 @t5799) @t5793)))) % 45.25/45.45 (assume @p4478 (forall @t5105 (= (tptp.hAPP @t5449 @t5793) (tptp.hAPP @t5791 (tptp.hAPP (tptp.c_List_Orotate @t35 (tptp.hAPP @t5199 @t5448)) @t4919))))) % 45.25/45.45 (assume @p4479 (forall @t5184 (=> @t5222 (= (tptp.hAPP (tptp.hAPP @t5061 @t5793) @t1254) (tptp.hAPP @t5062 (tptp.hAPP @t5199 @t1574)))))) % 45.25/45.45 (assume @p4480 (forall (@list @t66 @t4919 @t35 @t1258) (=> (tptp.hBOOL (tptp.hAPP @t1332 @t4924)) (= (tptp.hAPP @t5791 (tptp.hAPP @t5196 @t66)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5793) (tptp.hAPP (tptp.hAPP @t1091 (tptp.hAPP @t5199 @t1258)) @t1569)) @t66))))) % 45.25/45.45 (assume @p4481 (forall @t5782 (=> @t70 (=> (tptp.c_List_Olinorder__class_Osorted @t35 @t5793) (=> @t1389 (=> @t5781 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t5190) @t5094)))))))) % 45.25/45.45 (assume @p4482 (forall @t5718 (=> @t116 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5790) (and (=> @t5252 (= @t5801 @t99)) (=> @t5275 (= @t5801 (tptp.hAPP (tptp.hAPP @t551 (tptp.hAPP @t5051 @t1700)) @t99)))))))) % 45.25/45.45 (assume @p4483 (forall @t5081 (=> @t5787 (and (=> @t5764 (= @t5716 @t1700)) (=> (not @t5764) (= @t5716 (tptp.hAPP @t4907 (tptp.hAPP @t5763 @t1700)))))))) % 45.25/45.45 (assume @p4484 (forall @t5788 (=> @t5787 (=> @t5785 (= (tptp.hAPP @t5672 @t5784) (tptp.hAPP @t4907 @t5783)))))) % 45.25/45.45 (assume @p4485 (forall @t5081 (=> @t5787 (= (tptp.c_List_Otranspose @t10 @t5713) (tptp.c_List_OtakeWhile @t4677 @t5686 @t4912))))) % 45.25/45.45 (assume @p4486 (= @t5744 (tptp.c_List_Oreturn__list @t5267))) % 45.25/45.45 (assume @p4487 (forall @t5116 (=> @t116 (=> @t5767 (tptp.c_List_Olinorder__class_Osorted @t10 @t5802))))) % 45.25/45.45 (assume @p4488 (forall @t5695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5803) @t4913)))) % 45.25/45.45 (assume @p4489 (forall @t5695 (= (= @t5802 @t4912) @t5115))) % 45.25/45.45 (assume @p4490 (forall (@list @t4912 @t58 @t49 @t10) (=> (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 @t5802))) (and @t5097 @t61)))) % 45.25/45.45 (assume @p4491 (forall (@list @t4909 @t58 @t4912 @t40 @t10) (= (tptp.hAPP @t5142 (tptp.c_List_OtakeWhile @t40 @t58 @t4909)) (tptp.c_List_OtakeWhile @t783 (tptp.hAPP (tptp.c_Fun_Ocomp @t40 tptp.tc_HOL_Obool @t783 @t58) @t3972) @t5143)))) % 45.25/45.45 (assume @p4492 (forall @t5617 (= (tptp.hAPP (tptp.hAPP @t5141 @t5802) @t4909) (tptp.c_List_OtakeWhile @t783 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t783 @t58) @t3973) @t5143)))) % 45.25/45.45 (assume @p4493 (forall @t5705 (= (tptp.c_List_OtakeWhile @t10 @t58 @t5522) (tptp.hAPP @t5521 (tptp.c_List_OtakeWhile @t40 @t5702 @t4912))))) % 45.25/45.45 (assume @p4494 (forall (@list @t159 @t4912 @t10 @t49 @t58) (=> @t5699 (= (tptp.c_List_OtakeWhile @t10 @t58 (tptp.hAPP @t5330 @t5326)) @t5802)))) % 45.25/45.45 (assume @p4495 (forall @t5700 (and (=> @t61 (= @t5804 (tptp.hAPP @t4975 @t5802))) (=> @t5699 (= @t5804 @t5251))))) % 45.25/45.45 (assume @p4496 (forall @t4011 (= (tptp.c_List_OtakeWhile @t10 @t58 @t5251) @t5251))) % 45.25/45.45 (assume @p4497 (forall @t5695 (= @t5802 (tptp.hAPP (tptp.hAPP @t5070 @t5803) @t4912)))) % 45.25/45.45 (assume @p4498 (forall @t5116 (=> @t5226 (tptp.hBOOL (tptp.hAPP @t5224 @t5802))))) % 45.25/45.45 (assume @p4499 (forall @t2882 (= (tptp.c_List_Oreturn__list @t159) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t159)))) % 45.25/45.45 (assume @p4500 (forall @t5806 (=> @t5097 (=> @t5699 (= @t5805 @t5802))))) % 45.25/45.45 (assume @p4501 (forall @t5807 (=> (tptp.hBOOL (tptp.hAPP @t5239 @t5803)) (= (tptp.hAPP (tptp.hAPP @t5049 @t5802) @t1143) @t5238)))) % 45.25/45.45 (assume @p4502 (forall @t5695 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 @t5803) @t4913)) (not (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t5051 @t5803))))))) % 45.25/45.45 (assume @p4503 (forall @t5443 (=> @t5275 (=> @t5226 (= (tptp.c_List_OtakeWhile @t10 (tptp.hAPP @t4477 (tptp.hAPP @t3563 @t5514)) @t4912) @t5215))))) % 45.25/45.45 (assume @p4504 (forall (@list @t545 @t4912 @t2 @t40 @t10) (=> @t116 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5796) (= (tptp.hAPP (tptp.c_List_Ofilter @t40 @t5809) @t4912) (tptp.c_List_OtakeWhile @t40 @t5809 @t4912)))))) % 45.25/45.45 (assume @p4505 (forall @t2770 (=> (tptp.c_List_Onat__list @t1331) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t1331)) @t1331)))) % 45.25/45.45 (assume @p4506 (forall (@list @t1255 @t1331) (= (tptp.hAPP (tptp.hAPP @t5748 @t1331) @t1255) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t1331)) (tptp.c_List_Oembed__list @t1255)))))) % 45.25/45.45 (assume @p4507 (forall @t2882 (= (tptp.c_List_Oembed__list @t159) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t2754) @t159)))) % 45.25/45.45 (assume @p4508 (forall @t5084 (=> @t5226 (=> @t5097 (= (tptp.c_List_OtakeWhile @t10 @t5810 @t5790) (tptp.hAPP @t5789 (tptp.hAPP @t5458 (tptp.c_List_OdropWhile @t10 @t5810 @t4912)))))))) % 45.25/45.45 (assume @p4509 (forall @t5084 (=> @t5226 (=> @t5097 (= (tptp.c_List_OdropWhile @t10 @t5810 @t5790) (tptp.hAPP @t4975 (tptp.hAPP @t5789 (tptp.c_List_OtakeWhile @t10 @t5810 @t4912)))))))) % 45.25/45.45 (assume @p4510 (forall @t5695 (= (tptp.hAPP @t5812 @t5811) @t4912))) % 45.25/45.45 (assume @p4511 (forall @t5116 (=> @t116 (=> @t5767 (tptp.c_List_Olinorder__class_Osorted @t10 @t5811))))) % 45.25/45.45 (assume @p4512 (forall @t5695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1080 @t5813) @t4913)))) % 45.25/45.45 (assume @p4513 (forall @t5695 (= @t5814 @t5115))) % 45.25/45.45 (assume @p4514 (forall @t5700 (and (=> @t61 (= @t5815 @t5811)) (=> @t5699 (= @t5815 @t4976))))) % 45.25/45.45 (assume @p4515 (forall @t4011 (= (tptp.c_List_OdropWhile @t10 @t58 @t5251) @t5251))) % 45.25/45.45 (assume @p4516 (forall @t5116 (=> @t5226 (tptp.hBOOL (tptp.hAPP @t5224 @t5811))))) % 45.25/45.45 (assume @p4517 (forall @t5695 (=> (not @t5814) (not (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t5441 @t5811))))))) % 45.25/45.45 (assume @p4518 (forall @t5705 (= (tptp.c_List_OdropWhile @t10 @t58 @t5522) (tptp.hAPP @t5521 (tptp.c_List_OdropWhile @t40 @t5702 @t4912))))) % 45.25/45.45 (assume @p4519 (forall @t5806 (=> @t5097 (=> @t5699 (= @t5816 (tptp.hAPP (tptp.hAPP @t5325 @t5811) @t4909)))))) % 45.25/45.45 (assume @p4520 (forall (@list @t4909 @t99 @t4912 @t58 @t10) (= (= @t5811 @t4974) (and (= @t4912 (tptp.hAPP @t5812 @t4974)) (not @t4340))))) % 45.25/45.45 (assume @p4521 (forall @t5695 (= @t5811 (tptp.hAPP (tptp.hAPP @t5413 @t5803) @t4912)))) % 45.25/45.45 (assume @p4522 (forall @t5807 (=> (tptp.hBOOL (tptp.hAPP @t5239 @t5813)) (= (tptp.hAPP (tptp.hAPP @t5049 @t5811) @t1143) (tptp.hAPP @t5051 (tptp.hAPP @t1145 @t5803)))))) % 45.25/45.45 (assume @p4523 (forall (@list @t2 @t58 @t4912 @t10 @t40) (=> @t5587 (=> (forall @t7 (=> @t5114 (=> @t4487 @t1843))) (= (tptp.hAPP @t5559 (tptp.hAPP @t5512 @t5693)) @t5560))))) % 45.25/45.45 (assume @p4524 (forall @t5223 (=> @t70 (=> (forall @t2732 (=> @t5780 (=> (tptp.hBOOL (tptp.hAPP @t1849 @t4924)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t36 @t5245) (tptp.hAPP @t5062 @t1848)))))) @t5768)))) % 45.25/45.45 (assume @p4525 (forall @t5695 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 (tptp.hAPP @t5078 @t5811))) @t4487)) (= @t5802 @t5693)))) % 45.25/45.45 (assume @p4526 (forall @t5818 (=> (forall @t1970 (=> @t3146 @t5112)) (=> (=> @t5123 (not @t5817)) (= @t5802 @t5091))))) % 45.25/45.45 (assume @p4527 (forall (@list @t4912 @t10 @t58 @t1143) (=> (forall @t1970 (=> (tptp.hBOOL (tptp.hAPP @t3145 @t1143)) @t5111)) (=> (tptp.hBOOL (tptp.hAPP @t1269 @t4913)) (tptp.hBOOL (tptp.hAPP @t1269 @t5803)))))) % 45.25/45.45 (assume @p4528 (forall @t154 (=> @t116 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t153) (or @t5509 (exists (@list @t5034 @t3) (and (= @t153 @t5036) (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 (tptp.hAPP @t5078 @t5034))) @t4005)) (tptp.c_List_Olinorder__class_Osorted @t10 @t5034)))))))) % 45.25/45.45 (assume @p4529 (forall @t4995 @t5820)) % 45.25/45.45 (assume @p4530 (forall @t4995 (and @t5821 @t5820))) % 45.25/45.45 (assume @p4531 (forall @t4968 (= (tptp.c_List_Oinsert @t35 @t34 @t5646) (tptp.c_List_Oremdups @t35 @t5822)))) % 45.25/45.45 (assume @p4532 (forall @t5260 (=> @t5231 (tptp.hBOOL (tptp.hAPP @t5230 @t5822))))) % 45.25/45.45 (assume @p4533 (forall @t4995 @t5821)) % 45.25/45.45 (assume @p4534 (forall @t4995 (= (tptp.hAPP @t5078 @t5819) @t5108))) % 45.25/45.45 (assume @p4535 (forall @t39 (= (tptp.c_List_Oinsert @t35 @t34 @t5250) @t5276))) % 45.25/45.45 (assume @p4536 (forall @t5536 (= @t5824 @t5823))) % 45.25/45.45 (assume @p4537 (forall @t5523 (= @t5823 @t5824))) % 45.25/45.45 (assume @p4538 (forall @t576 (= (tptp.c_List_Omaps @t40 @t10 @t2 @t5308) @t5251))) % 45.25/45.45 (assume @p4539 (forall @t5486 (= (tptp.c_List_Omaps @t40 @t10 @t2 @t5465) (tptp.hAPP (tptp.hAPP @t5325 @t51) @t5823)))) % 45.25/45.45 (assume @p4540 (forall @t5081 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4677) @t4912)) (=> (forall @t5830 (=> @t5829 (tptp.hBOOL (tptp.hAPP @t5224 @t5041)))) (=> (forall @t5830 (=> @t5829 (forall @t5828 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4980 @t5825) @t5668)) (=> (not (= @t5041 @t5825)) (= (tptp.hAPP (tptp.hAPP @t246 @t5827) @t5826) @t142)))))) (tptp.hBOOL (tptp.hAPP @t5224 @t5669))))))) % 45.25/45.45 (assume @p4541 (forall @t5836 (=> @t4002 (=> @t5835 @t5833)))) % 45.25/45.45 (assume @p4542 (forall @t5837 (tptp.c_Wellfounded_Owf @t10 @t5834))) % 45.25/45.45 (assume @p4543 (forall @t109 (not (tptp.hBOOL (tptp.hAPP @t3932 (tptp.c_List_Omeasures @t10 (tptp.c_List_Olist_ONil @t5832))))))) % 45.25/45.45 (assume @p4544 (forall @t5837 (= @t5834 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5176 @t10) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5838 @t5176) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5832 tptp.tc_Nat_Onat) (tptp.tc_fun @t5838 @t5176) @t10) (tptp.c_List_Omap @t5832 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5832 @t10 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5832)))) @t5831))))) % 45.25/45.45 (assume @p4545 (forall @t5836 (=> @t3928 @t5833))) % 45.25/45.45 (assume @p4546 (forall (@list @t5831 @t2 @t99 @t49 @t10) (= @t5833 (or @t3928 (and @t149 @t5835))))) % 45.25/45.45 (assume @p4547 (forall (@list @t3957 @t1 @t761 @t2 @t40 @t1118 @t4912 @t10) (=> (forall @t7 (=> @t5114 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t1118 @t1118 @t40 @t5) @t761) (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t1118 @t40 @t761) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t1118 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t1118 @t1118) @t2) (tptp.hAPP @t761 @t3957)) @t4912) (tptp.hAPP @t761 (tptp.hAPP (tptp.c_List_Ofoldl @t40 @t10 (tptp.hAPP @t3555 @t1) @t3957) @t4912)))))) % 45.25/45.45 (assume @p4548 (forall @t48 (=> @t5842 (= @t489 (and @t46 (tptp.hBOOL (tptp.hAPP @t5840 (tptp.hAPP @t4477 (tptp.hAPP (tptp.hAPP @t5839 @t4296) @t1))))))))) % 45.25/45.45 (assume @p4549 (forall @t4605 (=> @t5843 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t783) @t58)) (tptp.hBOOL (tptp.hAPP @t5840 (tptp.hAPP (tptp.hAPP @t4579 (tptp.c_Enum_Oenum__class_Oenum__ex @t40)) @t4292))))))) % 45.25/45.45 (assume @p4550 (forall @t4011 (=> @t5841 (= @t2483 @t5844)))) % 45.25/45.45 (assume @p4551 (forall @t4011 (=> @t5841 (= @t5844 @t2483)))) % 45.25/45.45 (assume @p4552 (forall (@list @t58 @t4909 @t40 @t4912 @t10) (=> (=> (= (tptp.hAPP @t4907 @t5846) (tptp.hAPP @t5135 @t5845)) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t5141 @t5846) @t5845)))) (tptp.hBOOL (tptp.hAPP @t58 @t5143))))) % 45.25/45.45 (assume @p4553 (forall (@list @t5847 @t5848 @t5849 @t3421) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t3421 @t5849 @t5848 @t5847) (tptp.c_New__DSequence_Opos__not__seq @t5850)))) % 45.25/45.45 (assume @p4554 (forall @t5851 (=> @t5115 (= @t5816 (tptp.c_List_OdropWhile @t10 @t58 @t4909))))) % 45.25/45.45 (assume @p4555 (forall (@list @t58 @t171 @t40 @t153 @t10) (=> @t5640 (=> (forall @t1596 (=> (tptp.hBOOL (tptp.hAPP @t5054 @t5639)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t5049 @t153) @t1593)) (tptp.hAPP (tptp.hAPP @t5138 @t171) @t1593))))) @t5619)))) % 45.25/45.45 (assume @p4556 (forall @t53 (=> @t116 (=> @t675 (exists @t7 (and (= (tptp.hAPP @t5078 @t3) @t25) (tptp.c_List_Olinorder__class_Osorted @t10 @t3) (tptp.hBOOL (tptp.hAPP @t5224 @t3)) (forall @t938 (=> (and (= (tptp.hAPP @t5078 @t630) @t25) (tptp.c_List_Olinorder__class_Osorted @t10 @t630) (tptp.hBOOL (tptp.hAPP @t5224 @t630))) @t937)))))))) % 45.25/45.45 (assume @p4557 (forall @t5851 (=> @t5115 (= @t5805 (tptp.hAPP @t5330 (tptp.c_List_OtakeWhile @t10 @t58 @t4909)))))) % 45.25/45.45 (assume @p4558 (forall (@list @t153 @t2 @t4912 @t10 @t40) (=> @t648 (=> (forall @t7 (=> @t5114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t579) @t5)))) (= @t5493 (tptp.hAPP @t4965 @t4912)))))) % 45.25/45.45 (assume @p4559 (forall (@list @t4912 @t49 @t4909 @t58 @t10) (= (= @t5707 @t4976) @t5852))) % 45.25/45.45 (assume @p4560 (forall @t5806 (= (= @t4976 @t5707) @t5852))) % 45.25/45.45 (assume @p4561 (forall @t48 (=> @t5842 (= @t46 (tptp.hBOOL (tptp.hAPP @t5853 (tptp.hAPP (tptp.hAPP @t5839 (tptp.hAPP (tptp.hAPP @t4295 @t41) @t2)) @t1))))))) % 45.25/45.45 (assume @p4562 (forall @t4011 (=> @t5841 (= @t5854 @t2696)))) % 45.25/45.45 (assume @p4563 (forall @t4011 (=> @t5841 (= @t2696 @t5854)))) % 45.25/45.45 (assume @p4564 (forall @t4605 (=> @t5843 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t783) @t58)) (tptp.hBOOL (tptp.hAPP @t5853 (tptp.hAPP (tptp.hAPP @t4579 (tptp.c_Enum_Oenum__class_Oenum__all @t40)) @t4292))))))) % 45.25/45.45 (assume @p4565 (forall @t5818 (=> @t5123 (=> @t5115 @t5817)))) % 45.25/45.45 (assume @p4566 (forall @t5084 (=> @t116 (=> @t5778 (=> @t5767 @t5779))))) % 45.25/45.45 (assume @p4567 (forall @t5695 (= @t5856 (exists @t1596 (and @t5055 @t5855))))) % 45.25/45.45 (assume @p4568 (forall @t4995 (= @t5097 (exists @t5830 (and (exists @t5828 @t5857) (not (tptp.hBOOL (tptp.hAPP @t842 @t5827)))))))) % 45.25/45.45 (assume @p4569 (forall @t4011 (not (tptp.c_List_Olist__ex @t10 @t58 @t5251)))) % 45.25/45.45 (assume @p4570 (forall @t5708 (= (tptp.c_List_Olist__ex @t10 @t58 @t5346) (or @t5856 (tptp.c_List_Olist__ex @t10 @t58 @t4909))))) % 45.25/45.45 (assume @p4571 (forall @t5695 (= @t5856 @t5858))) % 45.25/45.45 (assume @p4572 (forall @t5695 (= (tptp.c_List_Olist__ex @t10 @t58 @t5790) @t5856))) % 45.25/45.45 (assume @p4573 (forall @t5605 (= (tptp.c_List_Olist__ex @t10 @t58 @t4976) (or @t61 @t5856)))) % 45.25/45.45 (assume @p4574 (forall @t4995 (= @t5097 (exists @t5859 @t5857)))) % 45.25/45.45 (assume @p4575 (forall @t4995 (= @t5097 (exists @t5859 (and @t5857 (not (tptp.hBOOL (tptp.hAPP @t842 @t5826)))))))) % 45.25/45.45 (assume @p4576 (forall @t5695 (= @t5860 (forall @t1596 (=> @t5055 @t5855))))) % 45.25/45.45 (assume @p4577 (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) @t3091))) % 45.25/45.45 (assume @p4578 (forall @t4011 (tptp.c_List_Olist__all @t10 @t58 @t5251))) % 45.25/45.45 (assume @p4579 (forall @t5708 (= (tptp.c_List_Olist__all @t10 @t58 @t5346) (and @t5860 (tptp.c_List_Olist__all @t10 @t58 @t4909))))) % 45.25/45.45 (assume @p4580 (forall @t144 (=> (tptp.class_Nat_Osize @t10) (tptp.c_FunDef_Ois__measure @t10 (tptp.c_Nat_Osize__class_Osize @t10))))) % 45.25/45.45 (assume @p4581 (forall @t771 @t5861)) % 45.25/45.45 (assume @p4582 (forall @t154 (tptp.c_FunDef_Ois__measure @t10 @t153))) % 45.25/45.45 (assume @p4583 (forall @t5695 (= @t5860 @t5115))) % 45.25/45.45 (assume @p4584 (forall @t5862 (=> @t5861 (tptp.c_FunDef_Ois__measure @t783 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t783) @t2) @t3973))))) % 45.25/45.45 (assume @p4585 (forall @t5862 (=> @t5861 (tptp.c_FunDef_Ois__measure @t3820 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t3820) @t2) @t3935))))) % 45.25/45.45 (assume @p4586 (forall @t5695 (= (tptp.c_List_Olist__all @t10 @t58 @t5790) @t5860))) % 45.25/45.45 (assume @p4587 (forall @t5605 (= (tptp.c_List_Olist__all @t10 @t58 @t4976) (and @t61 @t5860)))) % 45.25/45.45 (assume @p4588 (forall @t5116 (= @t5115 @t5860))) % 45.25/45.45 (assume @p4589 (forall @t5605 (= (tptp.c_List_Olist__ex1 @t10 @t58 @t4976) (and (=> @t61 (tptp.c_List_Olist__all @t10 (tptp.hAPP (tptp.hAPP @t4300 (tptp.hAPP @t4485 @t4478)) @t4288) @t4912)) (=> @t5699 @t5863))))) % 45.25/45.45 (assume @p4590 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t2754 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 45.25/45.45 (assume @p4591 (forall @t4011 (not (tptp.c_List_Olist__ex1 @t10 @t58 @t5251)))) % 45.25/45.45 (assume @p4592 (= (tptp.hAPP @t5864 tptp.c_fFalse) @t1700)) % 45.25/45.45 (assume @p4593 (= (tptp.hAPP @t5864 tptp.c_fTrue) @t1700)) % 45.25/45.45 (assume @p4594 (forall @t5695 (= @t5863 (exists @t7 (and @t5114 @t287 (forall @t938 (=> (and (tptp.hBOOL (tptp.hAPP @t1070 @t5080)) @t4536) @t937))))))) % 45.25/45.45 (assume @p4595 (forall @t5871 (and (=> @t5869 (= @t5868 (tptp.c_Lazy__Sequence_Oempty @t10))) (=> @t5870 (= @t5868 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t40 @t10 @t5867) @t5866)))))) % 45.25/45.45 (assume @p4596 (forall @t5871 (and (=> @t5869 (= @t5874 (tptp.c_Lazy__Sequence_Ohit__bound @t10))) (=> @t5870 (= @t5874 (tptp.c_Lazy__Sequence_Ohb__bind @t40 @t10 @t5867 @t5873)))))) % 45.25/45.45 (assume @p4597 (forall @t5879 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t40 @t10 @t3421 @t2 @t5849 @t5848 @t5847) (tptp.c_New__DSequence_Oneg__decr__bind @t40 @t10 @t5850 @t5878)))) % 45.25/45.45 (assume @p4598 (forall @t5879 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t40 @t10 @t3421 @t2 @t5849 @t5848 @t5847) (tptp.c_New__DSequence_Opos__decr__bind @t40 @t10 @t5850 @t5883)))) % 45.25/45.45 (assume @p4599 (forall @t5885 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t40 @t10 @t49 @t2) @t749) (tptp.c_Lazy__Sequence_Ohb__bind @t40 @t10 @t5884 @t5873)))) % 45.25/45.45 (assume @p4600 (forall (@list @t5886 @t35) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t35) @t5886) (tptp.c_Lazy__Sequence_Oempty @t35)))) % 45.25/45.45 (assume @p4601 (forall (@list @t5847 @t5848 @t5849 @t10) (= (tptp.c_New__Random__Sequence_Opos__empty @t10 @t5849 @t5848 @t5847) (tptp.c_New__DSequence_Opos__empty @t10)))) % 45.25/45.45 (assume @p4602 (forall @t5879 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t40 @t10 @t3421 @t2) @t5849) @t5848) @t5847) (tptp.c_New__DSequence_Oneg__bind @t40 @t10 @t5850 @t5878)))) % 45.25/45.45 (assume @p4603 (forall @t5885 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t40 @t10 @t49 @t2) @t749) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t40 @t10 @t5884) @t5866)))) % 45.25/45.45 (assume @p4604 (forall @t5888 (= (tptp.c_New__Random__Sequence_Oneg__map @t40 @t10 @t2 @t58) (tptp.c_New__Random__Sequence_Oneg__bind @t40 @t10 @t58 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5877) @t40 @t5887) @t2))))) % 45.25/45.45 (assume @p4605 (forall @t5889 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5887 @t49) @t5849) @t5848) @t5847) (tptp.c_New__DSequence_Oneg__single @t10 @t49)))) % 45.25/45.45 (assume @p4606 (forall @t5879 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t40 @t10 @t3421 @t2) @t5849) @t5848) @t5847) (tptp.c_New__DSequence_Opos__bind @t40 @t10 @t5850 @t5883)))) % 45.25/45.45 (assume @p4607 (forall @t5890 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t35 @t34) @t5886) (tptp.c_Lazy__Sequence_Ohb__single @t35 @t34)))) % 45.25/45.45 (assume @p4608 (forall @t5888 (= (tptp.c_New__Random__Sequence_Opos__map @t40 @t10 @t2 @t58) (tptp.c_New__Random__Sequence_Opos__bind @t40 @t10 @t58 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5882) @t40 @t5891) @t2))))) % 45.25/45.45 (assume @p4609 (forall @t5889 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5891 @t49) @t5849) @t5848) @t5847) (tptp.c_New__DSequence_Opos__single @t10 @t49)))) % 45.25/45.45 (assume @p4610 (forall @t4925 (= (tptp.hAPP @t4922 @t5892) @t5354))) % 45.25/45.45 (assume @p4611 (forall (@list @t4918 @t66 @t4919 @t34 @t35) (= (tptp.c_List_Osplice @t35 @t4967 @t5375) (tptp.hAPP @t4960 (tptp.hAPP @t5213 @t5892))))) % 45.25/45.45 (assume @p4612 (forall @t5223 (= (tptp.c_List_Osplice @t35 @t4919 @t5250) @t4919))) % 45.25/45.45 (assume @p4613 (forall @t5364 (= (tptp.c_List_Osplice @t35 @t5250 @t4918) @t4918))) % 45.25/45.45 (assume @p4614 (forall (@list @t5893 @t1905 @t35) (= (tptp.c_List_Osplice @t35 @t5894 @t5250) @t5894))) % 45.25/45.45 (assume @p4615 (forall @t5890 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t35 @t34) @t5886) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t35) @t34)))) % 45.25/45.45 (assume @p4616 (forall @t2920 (= (tptp.c_Wellfounded_Oacyclic @t10 (tptp.hAPP @t4546 (tptp.hAPP @t4191 (tptp.c_Predicate_Oconversep @t10 @t10 @t2919)))) @t4687))) % 45.25/45.45 (assume @p4617 (forall @t4833 (= (tptp.c_Predicate_Oconversep @t40 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3332) @t2919) @t3957)) (tptp.hAPP (tptp.hAPP @t3441 @t5896) @t5895)))) % 45.25/45.45 (assume @p4618 (forall @t109 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t10 (tptp.hAPP (tptp.hAPP @t4182 @t4477) tptp.c_fequal)) @t49) @t99)) @t483))) % 45.25/45.45 (assume @p4619 (forall @t144 (= (tptp.c_Predicate_Oconversep @t10 @t10 tptp.c_fequal) tptp.c_fequal))) % 45.25/45.45 (assume @p4620 (forall @t4623 (= (tptp.c_Predicate_Oconversep @t40 @t10 @t5897) @t2919))) % 45.25/45.45 (assume @p4621 (forall @t5900 (= @t5899 @t5898))) % 45.25/45.45 (assume @p4622 (forall (@list @t2103 @t2102 @t2919 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5897 @t2102) @t2103)) @t5037))) % 45.25/45.45 (assume @p4623 (forall @t4641 (=> @t3901 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5897 @t171) @t153))))) % 45.25/45.45 (assume @p4624 (forall @t5900 (=> @t5899 @t5898))) % 45.25/45.45 (assume @p4625 (forall @t4838 (= (tptp.c_Predicate_Oconversep @t40 @t10 (tptp.c_Predicate_Opred__comp @t40 @t1118 @t10 @t2919 @t3957)) (tptp.c_Predicate_Opred__comp @t10 @t1118 @t40 (tptp.c_Predicate_Oconversep @t1118 @t10 @t3957) (tptp.c_Predicate_Oconversep @t40 @t1118 @t2919))))) % 45.25/45.45 (assume @p4626 (forall @t4833 (= (tptp.c_Predicate_Oconversep @t40 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3332) @t2919) @t3957)) (tptp.hAPP (tptp.hAPP @t3438 @t5896) @t5895)))) % 45.25/45.45 (assume @p4627 (forall (@list @t99 @t49 @t2919 @t40 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t40 @t4638) @t49) @t99)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4144 @t3986) @t4834))))) % 45.25/45.45 (assume @p4628 (forall (@list @t5903 @t5904 @t40 @t10) (= (tptp.c_Lazy__Sequence_Oproduct @t10 @t40 @t5904 @t5903) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t10 @t783 @t5904) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5902 @t5901 @t10) (tptp.c_Lazy__Sequence_Obind @t40 @t783 @t5903)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3432 @t5902 @t10) (tptp.hAPP (tptp.c_COMBB @t783 @t5901 @t40) (tptp.c_Lazy__Sequence_Osingle @t783))) @t3413)))))) % 45.25/45.45 (assume @p4629 (forall @t5906 (=> @t1731 (= (tptp.hAPP @t5445 @t5905) (tptp.c_List_Oreplicate @t35 @t1872 @t34))))) % 45.25/45.45 (assume @p4630 (forall @t4995 (= (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t4907 @t5907) @t49) @t5907))) % 45.25/45.45 (assume @p4631 (forall @t5908 (= (tptp.hAPP @t4922 @t5905) @t1254))) % 45.25/45.45 (assume @p4632 (forall (@list @t5909 @t160 @t10 @t40) (= (tptp.hAPP (tptp.hAPP @t5520 (tptp.hAPP @t3223 @t160)) @t5909) (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t5135 @t5909) @t160)))) % 45.25/45.45 (assume @p4633 (forall @t5103 (= (tptp.hAPP @t5910 @t4967) (tptp.hAPP @t4960 (tptp.hAPP @t5910 @t4919))))) % 45.25/45.45 (assume @p4634 (forall @t5908 (= (tptp.c_List_Oreplicate @t35 @t1574 @t34) (tptp.hAPP @t4960 @t5905)))) % 45.25/45.45 (assume @p4635 (forall @t5908 (= (tptp.hAPP @t5791 @t5905) @t5905))) % 45.25/45.45 (assume @p4636 (forall @t5913 (= (tptp.hAPP @t5228 @t5912) (tptp.c_List_Oreplicate @t35 (tptp.hAPP @t5911 @t1258) @t34)))) % 45.25/45.45 (assume @p4637 (forall @t5913 (= (tptp.hAPP @t5407 @t5912) (tptp.c_List_Oreplicate @t35 (tptp.hAPP (tptp.hAPP @t1091 @t1258) @t1274) @t34)))) % 45.25/45.45 (assume @p4638 (forall @t5906 (=> @t1731 (= (tptp.hAPP @t5434 @t5905) @t34)))) % 45.25/45.45 (assume @p4639 (forall @t5906 (=> @t1731 (= (tptp.c_List_Olast @t35 @t5905) @t34)))) % 45.25/45.45 (assume @p4640 (forall (@list @t66 @t1273 @t34 @t1274 @t10 @t35) (= (tptp.hAPP (tptp.hAPP @t5147 @t5914) (tptp.c_List_Oreplicate @t10 @t1273 @t66)) (tptp.c_List_Oreplicate @t5150 (tptp.hAPP @t5911 @t1273) @t3979)))) % 45.25/45.45 (assume @p4641 (forall @t5916 (= (exists @t7 (and @t5915 @t287)) (and @t4460 @t1734)))) % 45.25/45.45 (assume @p4642 (forall @t5916 (= (forall @t7 (=> @t5915 @t287)) (or @t4460 @t1733)))) % 45.25/45.45 (assume @p4643 (forall (@list @t99 @t445 @t49 @t402 @t10) (= (= (tptp.c_List_Oreplicate @t10 @t402 @t49) @t5917) (and @t1263 (=> (not @t1736) @t100))))) % 45.25/45.45 (assume @p4644 (forall (@list @t34 @t35 @t1254 @t1274) (=> @t5095 (= (tptp.hAPP (tptp.hAPP @t5061 @t5905) @t1274) @t34)))) % 45.25/45.45 (assume @p4645 (forall (@list @t34 @t1255 @t1254 @t35) (= (tptp.c_List_Oreplicate @t35 @t1322 @t34) (tptp.hAPP @t5910 (tptp.c_List_Oreplicate @t35 @t1255 @t34))))) % 45.25/45.45 (assume @p4646 (forall (@list @t1258 @t34 @t1254 @t35) (= (tptp.hAPP @t5910 @t5912) (tptp.hAPP (tptp.hAPP @t5338 @t5912) @t5905)))) % 45.25/45.45 (assume @p4647 (forall (@list @t445 @t10 @t49 @t58) (and (=> @t61 (= @t5919 @t5918)) (=> @t5699 (= @t5919 @t5251))))) % 45.25/45.45 (assume @p4648 (forall (@list @t1274 @t35) (= (tptp.c_List_Oconcat @t35 (tptp.c_List_Oreplicate @t4921 @t1274 @t5250)) @t5250))) % 45.25/45.45 (assume @p4649 (forall @t39 (= (tptp.c_List_Oreplicate @t35 @t1700 @t34) @t5250))) % 45.25/45.45 (assume @p4650 (forall @t5920 (= (= @t5251 @t5918) @t1733))) % 45.25/45.45 (assume @p4651 (forall @t5920 (= (= @t5918 @t5251) @t1733))) % 45.25/45.45 (assume @p4652 (forall (@list @t49 @t445 @t2 @t10 @t40) (= (tptp.hAPP @t5521 (tptp.c_List_Oreplicate @t40 @t445 @t49)) (tptp.c_List_Oreplicate @t10 @t445 @t51)))) % 45.25/45.45 (assume @p4653 (forall (@list @t99 @t445 @t49 @t10) (= (tptp.hBOOL (tptp.hAPP @t842 (tptp.hAPP @t5078 @t5917))) (and @t100 @t1734)))) % 45.25/45.45 (assume @p4654 (forall (@list @t34 @t1274 @t35) (= (tptp.hAPP (tptp.hAPP @t5338 @t5914) @t5276) (tptp.hAPP @t4960 @t5914)))) % 45.25/45.45 (assume @p4655 (forall (@list @t749 @t49 @t10) (= (tptp.hAPP (tptp.hAPP @t5759 (tptp.hAPP (tptp.c_COMBK @t10 tptp.tc_Nat_Onat) @t49)) (tptp.c_List_Oupt @t1700 @t749)) (tptp.c_List_Oreplicate @t10 @t749 @t49)))) % 45.25/45.45 (assume @p4656 (forall @t5923 (and (=> @t1733 (= @t5921 @t142)) @t5922))) % 45.25/45.45 (assume @p4657 (forall @t5923 @t5922)) % 45.25/45.45 (assume @p4658 (forall @t5920 (= (tptp.hAPP @t5078 (tptp.c_List_Oreplicate @t10 @t1604 @t49)) @t532))) % 45.25/45.45 (assume @p4659 (forall (@list @t170 @t10) (=> @t5927 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4677 @t170) (tptp.c_Lazy__Sequence_Oappend @t4677 (tptp.hAPP @t5924 @t5251) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5925) @t2484) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t4958 @t4677 (tptp.c_Lazy__Sequence_Oproduct @t10 @t4677 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t5926) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4677 @t5926))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4677 @t5925) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4982 (tptp.tc_fun @t4677 @t5925) @t10) (tptp.hAPP (tptp.c_COMBB @t4677 @t5925 @t4677) @t5924)) @t4956)))) (tptp.c_Lazy__Sequence_Oempty @t4677))))))) % 45.25/45.45 (assume @p4660 (forall @t4169 (= (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 @t3421 tptp.c_fequal)) @t3421))) % 45.25/45.45 (assume @p4661 (forall (@list @t368 @t10 @t35) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t35) @t5927) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5150 @t368) (tptp.c_Lazy__Sequence_Oproduct @t35 @t10 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t35 @t368) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t368)))))) % 45.25/45.45 (assume @p4662 (forall (@list @t749 @t5928 @t5595 @t10) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t10 @t5595 @t5928) @t749) (tptp.c_Lazy__Sequence_Oappend @t10 @t5929 (tptp.hAPP @t5928 @t749))))) % 45.25/45.45 (assume @p4663 (forall (@list @t5930 @t83 @t35) (= (tptp.hAPP @t5932 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t35 @t83 @t5930)) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t5932 @t5930)) @t1701)))) % 45.25/45.45 (assume @p4664 (forall (@list @t5933 @t5934 @t34 @t35) (= (tptp.c_Lazy__Sequence_Oappend @t35 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t35 @t34 @t5934) @t5933) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t35 @t34 (tptp.c_Lazy__Sequence_Oappend @t35 @t5934 @t5933))))) % 45.25/45.45 (assume @p4665 (forall (@list @t5935 @t3320 @t5936 @t153 @t10) (= (= @t5937 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t3320 @t5935)) (and @t3321 (= @t5936 @t5935))))) % 45.25/45.45 (assume @p4666 (forall (@list @t5847 @t5848 @t5849 @t3889 @t3888 @t10) (= (tptp.c_New__Random__Sequence_Opos__union @t10 @t3888 @t3889 @t5849 @t5848 @t5847) (tptp.c_New__DSequence_Opos__union @t10 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3888 @t5849) @t5848) @t5847) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3889 @t5849) @t5848) @t5847))))) % 45.25/45.45 (assume @p4667 (forall (@list @t5936 @t153 @t3166 @t10) (= (tptp.hAPP @t5938 @t5937) (tptp.hAPP (tptp.hAPP @t1144 (tptp.hAPP @t3167 (tptp.hAPP @t5938 @t5936))) @t1701)))) % 45.25/45.46 (assume @p4668 (forall (@list @t1274 @t368) (and (=> @t5941 (= @t5940 @t5942)) (=> (not @t5941) (= @t5940 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5939 @t1274) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t368 @t5280))))))) % 45.25/45.46 (assume @p4669 (forall (@list @t749 @t170) (=> (tptp.hBOOL (tptp.hAPP @t5945 (tptp.hAPP (tptp.hAPP @t3178 @t170) @t749))) (and (=> @t5944 (= @t5943 @t5942)) (=> (not @t5944) (= @t5943 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5939 @t749) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t170 @t2444)))))))) % 45.25/45.46 (assume @p4670 (forall (@list @t368) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t368) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t368 (tptp.hAPP @t2235 @t368))))) % 45.25/45.46 (assume @p4671 (forall @t3887 (=> (tptp.hBOOL (tptp.hAPP @t5945 @t3886)) (=> (forall (@list @t1891 @t1966) (=> (tptp.hBOOL (tptp.hAPP @t5945 (tptp.hAPP (tptp.hAPP @t3178 @t1891) @t1966))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2208 @t1891) @t1966))) (tptp.hBOOL (tptp.hAPP @t1892 @t5316))) (tptp.hBOOL (tptp.hAPP @t1892 @t1966))))) @t3880)))) % 45.25/45.46 (assume @p4672 (forall (@list @t5595 @t10) (= (tptp.hAPP @t5948 @t5595) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5953 @t1700 (tptp.hAPP @t5952 (tptp.hAPP (tptp.c_COMBK @t5951 @t10) (tptp.hAPP (tptp.hAPP @t5950 (tptp.hAPP @t5949 @t5948)) @t1569))) @t5947)))) % 45.25/45.46 (assume @p4673 (forall (@list @t5595 @t3957 @t10) (= (tptp.hAPP @t5954 @t5595) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5953 @t1700 (tptp.hAPP @t5952 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Nat_Onat @t5951) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5955 (tptp.tc_fun tptp.tc_Nat_Onat @t5951) @t10) @t5950) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5951 @t5955 @t10) @t5949) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5951 @t5951) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3602 (tptp.tc_fun @t5951 @t5951) @t10) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5865)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3602 @t10) @t1144) @t3957))) @t5954)))) @t1569)) @t5947)))) % 45.25/45.46 (assume @p4674 (forall (@list @t5595 @t1 @t2 @t40 @t10) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t40 @t2 @t1 @t5595) (tptp.c_Option_Ooption_Ooption__case @t10 (tptp.tc_prod @t40 @t5956) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t5956 @t10) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t40) @t5595))))) % 45.25/45.46 (assume @p4675 (forall @t144 (= (tptp.c_Lazy__Sequence_Oyieldn @t10) (tptp.c_Lazy__Sequence_Oanamorph @t5865 @t10 @t5946)))) % 45.25/45.46 (assume @p4676 (forall @t5959 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t40 @t3138 @t3136 @t5958) @t5957))) % 45.25/45.46 (assume @p4677 (forall @t5961 (=> @t5960 (tptp.c_Relation_Orefl__on @t40 (tptp.hAPP (tptp.hAPP @t3194 @t525) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t4110) @t525) @t2919))))) % 45.25/45.46 (assume @p4678 (forall @t4995 (= @t5097 @t5964))) % 45.25/45.46 (assume @p4679 (forall (@list @t66 @t35) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t35) @t5250) @t66))))) % 45.25/45.46 (assume @p4680 (forall @t144 (= @t5962 @t5078))) % 45.25/45.46 (assume @p4681 (forall @t5274 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5962 @t4976) @t99)) (or @t100 (tptp.hBOOL (tptp.hAPP @t5963 @t99)))))) % 45.25/45.46 (assume @p4682 (forall @t5084 (= @t5964 @t5097))) % 45.25/45.46 (assume @p4683 (forall @t2116 (=> @t1104 (=> (tptp.hBOOL (tptp.hAPP @t795 @t525)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t388 @t525)) @t754)) (=> (forall (@list @t5966) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t5966) @t525)) (forall (@list @t5965) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t5965) @t525)) (=> (not (= @t5966 @t5965)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t204 @t5966)) (=> (tptp.hBOOL (tptp.hAPP @t204 @t5965)) @t1843)))))))) (= (tptp.hAPP @t1060 @t3385) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t27 @t40) @t1060) @t525)))))))) % 45.25/45.46 (assume @p4684 (forall (@list @t170 @t10 @t58) (and (=> @t5968 (= @t5967 @t5636)) (=> (not @t5968) (= @t5967 @t170))))) % 45.25/45.46 (assume @p4685 (forall (@list @t1118 @t40 @t174 @t171 @t24 @t25 @t10) (=> @t3735 @t3200))) % 45.25/45.46 (assume @p4686 (forall @t3734 (=> @t3189 (not (forall @t7 (=> @t205 (not @t3733))))))) % 45.25/45.46 (assume @p4687 (forall @t755 (=> (tptp.hBOOL (tptp.hAPP @t5057 @t753)) (exists @t1596 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5663 @t753)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1323 (tptp.hAPP @t4907 @t3)) @t1593)))))))) % 45.25/45.46 (assume @p4688 (forall @t216 (= (tptp.hAPP @t5932 @t5969) @t1700))) % 45.25/45.46 (assume @p4689 (forall @t5272 (= (tptp.hAPP @t5938 @t5970) @t1700))) % 45.25/45.46 (assume @p4690 (forall (@list @t5933 @t35) (= (tptp.c_Lazy__Sequence_Oappend @t35 @t5969 @t5933) @t5933))) % 45.25/45.46 (assume @p4691 (forall @t5973 (not (= @t5972 @t5969)))) % 45.25/45.46 (assume @p4692 (forall @t5973 (not (= @t5969 @t5972)))) % 45.25/45.46 (assume @p4693 (forall @t5309 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t40 @t3138 @t3136 @t5974) @t3138))) % 45.25/45.46 (assume @p4694 (forall @t5976 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t58 @t5170) @t5975))) % 45.25/45.46 (assume @p4695 (forall @t5976 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t58 @t5170) (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) @t58) @t749 @t1143))))) % 45.25/45.46 (assume @p4696 (forall @t5976 (= @t5975 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2479 @t2445)) @t287))))) % 45.25/45.46 (assume @p4697 (forall @t3139 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t3138 @t3136 @t3114) (tptp.hAPP @t3137 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t3138 @t3136 @t3113))))) % 45.25/45.46 (assume @p4698 (forall (@list @t5848 @t1 @t10 @t5849) (and (=> @t5987 (= @t5986 @t5988)) (=> (not @t5987) (= @t5986 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t3997 @t5979 @t3997 @t5983) (tptp.hAPP @t1 @t5848)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5985 @t5984 @t5979) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t3997 @t5980 @t3997 @t5983) (tptp.c_Random__Sequence_ORandom @t10 @t1 (tptp.hAPP (tptp.hAPP @t3069 @t5849) @t3068) @t5848))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5981 @t5985 @t5979) (tptp.hAPP (tptp.c_COMBB @t5980 @t5984 @t5980) @t5982)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5980 @t5981 @t5979) (tptp.c_DSequence_Ounion @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t5980 @t5979) @t5978) (tptp.c_Product__Type_Ofst @t10 @t5977))))))))))) % 45.25/45.46 (assume @p4699 (forall @t3147 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t3138 @t3136 @t3061) @t3138))) % 45.25/45.46 (assume @p4700 (forall (@list @t5848 @t5849 @t10) (= (tptp.c_Random__Sequence_Oempty @t10 @t5849 @t5848) @t5988))) % 45.25/45.46 (assume @p4701 (forall (@list @t5848 @t5849 @t49 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5989 @t49) @t5849) @t5848) (tptp.hAPP @t5982 (tptp.hAPP @t5978 @t49))))) % 45.25/45.46 (assume @p4702 (forall @t5888 (= (tptp.c_Random__Sequence_Omap @t40 @t10 @t2 @t58) (tptp.c_Random__Sequence_Obind @t40 @t10 @t58 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5984)) @t40 @t5989) @t2))))) % 45.25/45.46 (assume @p4703 (forall (@list @t1118 @t2 @t55 @t1072 @t10 @t40 @t58) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t58 @t3941) (tptp.hAPP @t3987 @t1072))) (=> (forall @t633 (=> (tptp.hBOOL (tptp.hAPP @t3995 @t3)) (tptp.hBOOL (tptp.hAPP @t55 @t975)))) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t40 @t10 @t1118) @t2) @t1072))))))) % 45.25/45.46 (assume @p4704 (forall (@list @t25 @t58 @t10 @t40) (= (tptp.hAPP (tptp.c_Relation_OImage @t40 @t10 @t4603) @t25) (tptp.hAPP @t4456 (tptp.hAPP @t4580 (tptp.hAPP (tptp.hAPP @t3240 @t5990) @t4602)))))) % 45.25/45.46 (assume @p4705 (forall @t4817 (=> @t4999 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t5026 @t348)) @t4996)) (=> @t5991 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4916 (tptp.hAPP @t4997 @t348)) @t4996))))))) % 45.25/45.46 (assume @p4706 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 45.25/45.46 (assume @p4707 (forall (@list @t3889 @t40 @t3888 @t10) (=> (tptp.c_Relation_Otrans @t10 @t3888) (=> (tptp.c_Relation_Otrans @t40 @t3889) (tptp.c_Relation_Otrans @t783 (tptp.c_Wellfounded_Olex__prod @t10 @t40 @t3888 @t3889)))))) % 45.25/45.46 (assume @p4708 (forall (@list @t174 @t171 @t153 @t2919 @t10) (=> @t5991 (=> @t4197 (=> @t4787 (tptp.hBOOL (tptp.hAPP @t4781 @t2919))))))) % 45.25/45.46 (assume @p4709 (forall @t2920 (= @t5991 (forall @t633 (=> @t4248 (forall @t2093 (=> @t5992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP @t3754 @t2092)) @t2919))))))))) % 45.25/45.46 (assume @p4710 (forall @t2920 (tptp.c_Relation_Otrans @t10 @t4790))) % 45.25/45.46 (assume @p4711 (forall @t144 (tptp.c_Relation_Otrans @t10 @t4795))) % 45.25/45.46 (assume @p4712 (forall @t2920 (tptp.c_Relation_Otrans @t10 @t4772))) % 45.25/45.46 (assume @p4713 (forall @t2920 (=> @t5991 (= @t4772 @t2919)))) % 45.25/45.46 (assume @p4714 (forall @t53 (tptp.c_Relation_Otrans @t10 @t4180))) % 45.25/45.46 (assume @p4715 (forall @t144 (tptp.c_Relation_Otrans @t27 @t4030))) % 45.25/45.46 (assume @p4716 (forall @t2920 (=> @t5991 (tptp.c_Relation_Otrans @t4677 @t4996)))) % 45.25/45.46 (assume @p4717 (forall @t2920 (=> @t5991 (tptp.c_Relation_Otrans @t4677 @t5024)))) % 45.25/45.46 (assume @p4718 (forall @t4011 (not (exists @t7 (and @t4690 @t287))))) % 45.25/45.46 (assume @p4719 (forall @t2920 (= (tptp.c_Relation_Otrans @t10 @t4827) @t5991))) % 45.25/45.46 (assume @p4720 (forall (@list @t55 @t40 @t25 @t10) (=> @t675 (= (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t4469 (tptp.hAPP @t4538 (tptp.hAPP (tptp.hAPP @t3309 @t4301) @t55))))) (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t763 (tptp.hAPP @t4469 (tptp.hAPP @t4535 @t3)))))))))) % 45.25/45.46 (assume @p4721 (forall @t4011 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t204 @t143)) @t287)) @t2483))) % 45.25/45.46 (assume @p4722 (forall @t4173 (=> @t5991 (=> (tptp.c_Relation_Otrans @t10 @t3957) (tptp.c_Relation_Otrans @t10 @t4501))))) % 45.25/45.46 (assume @p4723 (forall @t144 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t10)))) % 45.25/45.46 (assume @p4724 (forall @t2920 (=> @t5991 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP @t4799 @t2919)) @t2919))))) % 45.25/45.46 (assume @p4725 (forall @t2920 (=> @t5991 (tptp.c_Relation_Otrans @t10 @t4796)))) % 45.25/45.46 (assume @p4726 (forall @t4648 (=> @t5991 (tptp.c_Relation_Otrans @t40 @t4646)))) % 45.25/45.46 (assume @p4727 (forall @t53 (= @t200 (tptp.hAPP @t4456 (tptp.hAPP (tptp.hAPP @t4705 @t4533) (tptp.hAPP (tptp.hAPP @t4704 (tptp.hAPP @t4530 (tptp.hAPP @t4527 @t4703))) @t203)))))) % 45.25/45.46 (assume @p4728 (forall @t5116 (= @t5858 @t5856))) % 45.25/45.46 (assume @p4729 (forall @t3261 (= @t894 (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t5993)))) % 45.25/45.46 (assume @p4730 (forall @t3261 (= @t3207 (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t5993)))) % 45.25/45.46 (assume @p4731 (forall @t219 (=> @t155 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t146 @t25) @t49) (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t5996))))) % 45.25/45.46 (assume @p4732 (forall @t219 (=> @t155 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t146 @t25) @t49) (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t5996))))) % 45.25/45.46 (assume @p4733 (forall @t4286 (=> @t4285 (=> @t4284 (=> @t4283 (=> (forall @t7 (=> @t4282 (exists @t384 (and @t4281 @t4260)))) (tptp.c_Wellfounded_Omax__extp @t10 @t3421 @t877 @t3496))))))) % 45.25/45.46 (assume @p4734 (forall @t2920 (= @t5997 (tptp.c_Relation_Otrans @t10 @t4569)))) % 45.25/45.46 (assume @p4735 (forall @t4856 (=> @t5997 (=> @t5040 (=> (tptp.hBOOL (tptp.hAPP @t5998 @t348)) (tptp.hBOOL (tptp.hAPP @t4588 @t348))))))) % 45.25/45.46 (assume @p4736 (forall @t4169 (= @t4229 (and @t6001 @t6000 @t5999)))) % 45.25/45.46 (assume @p4737 (forall @t4169 (=> @t6001 (=> @t6000 (=> @t5999 @t4229))))) % 45.25/45.46 (assume @p4738 (forall @t4797 (=> @t6002 (=> @t5040 (tptp.hBOOL (tptp.hAPP @t5998 @t49)))))) % 45.25/45.46 (assume @p4739 (forall @t4169 (=> @t4229 (not (=> @t6001 @t6003))))) % 45.25/45.46 (assume @p4740 (forall @t2920 (=> @t5991 (=> @t6004 (tptp.c_Relation_Otrans @t10 @t4806))))) % 45.25/45.46 (assume @p4741 (forall @t53 (tptp.c_Relation_Oantisym @t10 @t4180))) % 45.25/45.46 (assume @p4742 (forall @t2920 (= (tptp.c_Relation_Oantisym @t10 @t4827) @t6004))) % 45.25/45.46 (assume @p4743 (forall @t144 (tptp.c_Relation_Oantisym @t10 @t3742))) % 45.25/45.46 (assume @p4744 (forall @t144 (tptp.c_Relation_Oantisym @t10 @t4795))) % 45.25/45.46 (assume @p4745 (forall @t4173 (=> @t4172 (=> (tptp.c_Relation_Oantisym @t10 @t3957) @t6004)))) % 45.25/45.46 (assume @p4746 (forall @t2920 (= @t6004 (forall @t633 (=> @t4248 (=> @t4770 @t4018)))))) % 45.25/45.46 (assume @p4747 (forall @t6006 (=> @t6004 (=> @t4197 (=> @t6005 @t429))))) % 45.25/45.46 (assume @p4748 (forall @t2920 (= (tptp.c_Relation_Oantisym @t10 @t4796) @t6004))) % 45.25/45.46 (assume @p4749 (forall @t2920 (=> @t4691 (tptp.c_Relation_Oantisym @t10 @t4790)))) % 45.25/45.46 (assume @p4750 (forall (@list @t49 @t25 @t6009 @t1118 @t10 @t40) (= (tptp.c_Partial__Function_Ofun__lub @t40 @t10 @t1118 @t6009 @t25 @t49) (tptp.hAPP @t6009 (tptp.hAPP @t4469 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6007 tptp.tc_HOL_Obool @t40) (tptp.c_HOL_OEx @t3237)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6007 @t6007 @t40) (tptp.hAPP (tptp.c_COMBS @t3237 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2906 @t3237) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3237 @t6007 tptp.tc_HOL_Obool) (tptp.c_member @t3237)) @t25)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t40 @t6008 @t6007) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 (tptp.tc_fun @t6008 @t6007) @t40) (tptp.c_COMBB @t40 tptp.tc_HOL_Obool @t3237)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3237 @t1118 @t40) (tptp.c_COMBI @t3237)) @t49))))))))) % 45.25/45.46 (assume @p4751 (forall @t2920 (=> @t6010 (=> @t5991 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3741 @t4844) @t2919)))))) % 45.25/45.46 (assume @p4752 (forall @t6006 (=> @t6010 (=> @t4197 @t6005)))) % 45.25/45.46 (assume @p4753 (forall @t2920 (= @t6010 (forall @t633 (=> @t4248 @t4770))))) % 45.25/45.46 (assume @p4754 (forall @t2920 (=> @t6010 (tptp.c_Relation_Osym @t10 @t4790)))) % 45.25/45.46 (assume @p4755 (forall @t144 (tptp.c_Relation_Osym @t10 @t4795))) % 45.25/45.46 (assume @p4756 (forall @t4173 (=> @t6010 (=> @t6011 (tptp.c_Relation_Osym @t10 @t4176))))) % 45.25/45.46 (assume @p4757 (forall @t2920 (=> @t6010 (tptp.c_Relation_Osym @t10 @t4772)))) % 45.25/45.46 (assume @p4758 (forall @t53 (tptp.c_Relation_Osym @t10 @t4180))) % 45.25/45.46 (assume @p4759 (forall @t2920 (=> @t6010 (tptp.c_Relation_Osym @t4677 @t5024)))) % 45.25/45.46 (assume @p4760 (forall @t2920 (= (tptp.c_Relation_Osym @t10 @t4827) @t6010))) % 45.25/45.46 (assume @p4761 (forall @t2920 (= @t6010 (= @t4827 @t2919)))) % 45.25/45.46 (assume @p4762 (forall @t4173 (=> @t6010 (=> @t6011 (tptp.c_Relation_Osym @t10 @t4501))))) % 45.25/45.46 (assume @p4763 (forall @t2920 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4175 @t4827)))) % 45.25/45.46 (assume @p4764 (forall @t4648 (=> @t6010 (tptp.c_Relation_Osym @t40 @t4646)))) % 45.25/45.46 (assume @p4765 (forall @t2920 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4500 @t4827)))) % 45.25/45.46 (assume @p4766 (forall @t4186 (=> @t4200 (not (=> @t4439 (=> @t6010 (not @t5991))))))) % 45.25/45.46 (assume @p4767 (forall @t4186 (=> @t4439 (=> @t6010 (=> @t5991 @t4200))))) % 45.25/45.46 (assume @p4768 (forall @t4186 (= @t4200 (and @t4439 @t6010 @t5991)))) % 45.25/45.46 (assume @p4769 (forall @t2920 (= @t6002 (tptp.c_Relation_Osym @t10 @t4569)))) % 45.25/45.46 (assume @p4770 (forall @t4169 (= @t6014 (and @t6013 @t6000 @t5999)))) % 45.25/45.46 (assume @p4771 (forall (@list @t10 @t3421) (=> @t6013 (=> @t6000 (=> @t5999 @t6014))))) % 45.25/45.46 (assume @p4772 (forall @t4169 (= @t6014 (and @t6013 (forall @t633 (= @t4238 (and @t6012 (tptp.hBOOL (tptp.hAPP @t4235 @t630)) @t4237))))))) % 45.25/45.46 (assume @p4773 (forall @t4232 (=> @t6014 @t4231))) % 45.25/45.46 (assume @p4774 (forall @t4230 (=> @t6014 @t4228))) % 45.25/45.46 (assume @p4775 (forall @t4169 (=> @t4229 @t6014))) % 45.25/45.46 (assume @p4776 (forall @t4169 (=> @t6014 (not (=> @t6013 @t6003))))) % 45.25/45.46 (assume @p4777 (forall @t4169 (=> @t6014 (exists @t1895 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t387 @t1891) (tptp.hAPP (tptp.hAPP @t4525 @t4520) (tptp.hAPP (tptp.hAPP @t4748 (tptp.hAPP @t4300 (tptp.hAPP @t4188 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 tptp.tc_HOL_Obool) @t3421) @t3442)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t27 @t3890 @t27) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t111 (tptp.tc_fun @t3890 @t27) @t27) @t4287) tptp.c_fequal)) @t3421))))))))) % 45.25/45.46 (assume @p4778 (forall @t688 (= @t684 @t6016))) % 45.25/45.46 (assume @p4779 (forall @t688 (=> @t684 @t6016))) % 45.25/45.46 (assume @p4780 (forall @t144 (= (tptp.c_Hilbert__Choice_Oinv__into @t10 @t10 @t143 @t4581) @t4581))) % 45.25/45.46 (assume @p4781 (forall @t712 (=> @t684 (=> @t1026 (= @t6017 @t49))))) % 45.25/45.46 (assume @p4782 (forall @t1024 (=> @t684 (= (tptp.hAPP @t6015 @t51) @t49)))) % 45.25/45.46 (assume @p4783 (forall @t1034 (=> @t691 (=> @t843 (= (tptp.hAPP @t6018 @t51) @t49))))) % 45.25/45.46 (assume @p4784 (forall @t907 (=> @t691 (=> @t843 (=> @t1026 (= @t6019 @t49)))))) % 45.25/45.46 (assume @p4785 (forall (@list @t25 @t2 @t40 @t99 @t10) (=> (tptp.hBOOL (tptp.hAPP @t886 @t571)) (= (tptp.hAPP @t2 (tptp.hAPP @t6020 @t99)) @t99)))) % 45.25/45.46 (assume @p4786 (forall (@list @t25 @t2 @t40 @t49 @t10) (=> (tptp.hBOOL (tptp.hAPP @t842 @t571)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t864 (tptp.hAPP @t6020 @t49)) @t25))))) % 45.25/45.46 (assume @p4787 (forall (@list @t99 @t49 @t2 @t25 @t40 @t10) (=> (= @t6021 @t6019) (=> @t1023 (=> @t1036 @t100))))) % 45.25/45.46 (assume @p4788 (forall @t577 (=> @t617 (= (tptp.hAPP @t568 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t6022) @t25)) @t25)))) % 45.25/45.46 (assume @p4789 (forall (@list @t99 @t2 @t10 @t40) (=> @t617 (= (tptp.hAPP @t2 (tptp.hAPP @t6022 @t99)) @t99)))) % 45.25/45.46 (assume @p4790 (forall @t576 (= @t617 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t6022 @t3)) @t3))))) % 45.25/45.46 (assume @p4791 (forall (@list @t4436 @t805 @t25 @t2 @t10 @t40) (=> @t4437 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4436) @t805)) (= (tptp.hAPP @t568 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t40 @t6020) @t4436)) @t4436))))) % 45.25/45.46 (assume @p4792 (forall @t4303 (= @t6021 (tptp.c_Hilbert__Choice_OEps @t10 @t4302)))) % 45.25/45.46 (assume @p4793 (forall (@list @t99 @t2 @t40 @t10) (= @t6017 (tptp.c_Hilbert__Choice_OEps @t10 (tptp.hAPP @t4298 @t99))))) % 45.25/45.46 (assume @p4794 (forall @t3400 (=> @t684 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t1118 @t10 (tptp.hAPP @t3583 @t6015)) @t2) @t1)))) % 45.25/45.46 (assume @p4795 (forall @t576 (=> @t617 (tptp.c_Fun_Oinj__on @t10 @t40 @t6022 @t143)))) % 45.25/45.46 (assume @p4796 (forall (@list @t877 @t2 @t40 @t10) (=> @t684 (= (tptp.hAPP @t6023 (tptp.hAPP @t600 @t877)) @t877)))) % 45.25/45.46 (assume @p4797 (forall @t575 (=> @t684 (= (tptp.hAPP @t6023 @t602) @t25)))) % 45.25/45.46 (assume @p4798 (forall @t688 (=> @t684 (= (tptp.hAPP @t6023 @t615) @t143)))) % 45.25/45.46 (assume @p4799 (forall (@list @t525 @t25 @t2 @t40 @t10) (=> @t691 (=> (tptp.hBOOL (tptp.hAPP @t1975 @t25)) (= (tptp.hAPP (tptp.c_Set_Oimage @t40 @t10 @t6018) @t4004) @t525))))) % 45.25/45.46 (assume @p4800 (forall @t599 (=> @t598 (tptp.c_Fun_Oinj__on @t10 @t40 @t6020 @t24)))) % 45.25/45.46 (assume @p4801 (forall @t3693 (=> @t3692 (=> @t3691 (=> @t3690 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t1118 @t40 @t25 @t3585) @t49) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t1118 @t40 (tptp.c_Hilbert__Choice_Oinv__into @t1118 @t10 @t25 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t10 @t40 @t3689 @t2)) @t49))))))) % 45.25/45.46 (assume @p4802 (forall @t576 (= @t617 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t40 @t10 @t10 @t2) @t6022) @t4581)))) % 45.25/45.46 (assume @p4803 (forall (@list @t49 @t58 @t2 @t40 @t10) (=> @t684 (=> (forall @t938 (=> (tptp.hBOOL (tptp.hAPP @t4412 @t939)) (tptp.hBOOL (tptp.hAPP @t58 (tptp.hAPP @t6015 @t630))))) @t61)))) % 45.25/45.46 (assume @p4804 (forall (@list @t1 @t25 @t40 @t3210 @t10 @t1118) (=> @t3643 (=> (tptp.hBOOL (tptp.hAPP @t673 @t3210)) (=> (forall @t7 (=> @t3214 @t3213)) (=> (forall @t7 (=> @t3214 (forall @t384 (=> (tptp.hBOOL (tptp.hAPP @t383 @t3210)) (=> @t382 (= (tptp.hAPP (tptp.hAPP @t610 @t3212) (tptp.hAPP @t25 @t380)) @t573)))))) (= (tptp.hAPP @t6024 @t3273) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3183 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t569 @t1118 @t10) @t6024) @t25)) @t4402) @t3210)))))))) % 45.25/45.46 (assume @p4805 (forall @t4341 (=> @t5569 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t58 @t6025))) @t4340)))) % 45.25/45.46 (assume @p4806 (forall @t4314 (=> @t5569 (not (forall @t7 (not (= @t99 @t6025))))))) % 45.25/45.46 (assume @p4807 (forall @t4702 (=> (forall @t938 (=> @t6027 (tptp.hBOOL (tptp.hAPP @t58 @t6026)))) @t61))) % 45.25/45.46 (assume @p4808 (forall @t2508 (not (forall @t938 (=> (= @t49 @t6026) (not @t6027)))))) % 45.25/45.46 (assume @p4809 (forall @t5309 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t40 @t3138 @t3136 @t5974) @t3138))) % 45.25/45.46 (assume @p4810 (forall (@list @t402 @t55 @t445 @t58) (=> @t1971 (=> (tptp.hBOOL (tptp.hAPP @t55 @t402)) (=> @t1900 (=> (forall @t1386 (= (tptp.hBOOL (tptp.hAPP @t58 @t4755)) (tptp.hBOOL (tptp.hAPP @t55 @t1384)))) (= @t4016 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t55))))))))) % 45.25/45.46 (assume @p4811 (forall @t5959 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t40 @t3138 @t3136 @t5958) (tptp.hAPP @t5957 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t40 @t3138 @t3136 @t5936))))) % 45.25/45.46 (assume @p4812 (forall @t2877 (and (=> @t3160 (= @t6028 @t1331)) (=> @t3161 (= @t6028 @t3061))))) % 45.25/45.46 (assume @p4813 (forall @t4482 (=> @t6029 (= (tptp.hAPP @t600 @t4457) (tptp.hAPP @t4469 (tptp.hAPP (tptp.hAPP @t5808 @t58) @t6015)))))) % 45.25/45.46 (assume @p4814 (forall @t53 (tptp.c_Fun_Obij__betw @t10 @t10 @t4581 @t25 @t25))) % 45.25/45.46 (assume @p4815 (forall @t609 (=> @t6030 (tptp.c_Fun_Obij__betw @t40 @t10 @t6018 @t24 @t25)))) % 45.25/45.46 (assume @p4816 (forall (@list @t153 @t805 @t25 @t2 @t40 @t10) (=> @t6031 (=> @t852 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t40 @t10 @t805 @t6018) @t153) @t579))))) % 45.25/45.46 (assume @p4817 (forall @t688 (=> @t6029 (tptp.c_Fun_Obij__betw @t40 @t10 @t6015 @t615 @t143)))) % 45.25/45.46 (assume @p4818 (forall @t688 (=> @t6029 (= (tptp.c_Hilbert__Choice_Oinv__into @t40 @t10 @t615 @t6015) @t2)))) % 45.25/45.46 (assume @p4819 (forall @t3400 (=> @t6029 (=> (tptp.c_Fun_Obij__betw @t1118 @t10 @t1 @t3582 @t143) (= (tptp.c_Hilbert__Choice_Oinv__into @t1118 @t40 @t3582 @t3585) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t1118 @t40 (tptp.c_Hilbert__Choice_Oinv__into @t1118 @t10 @t3582 @t1)) @t6015)))))) % 45.25/45.46 (assume @p4820 (forall @t4321 (=> @t6029 @t4020))) % 45.25/45.46 (assume @p4821 (forall (@list @t25 @t2 @t1118 @t6032 @t805 @t3352 @t40 @t10) (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t3352 @t805 @t6032) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t4337) @t805)) (= (tptp.c_Fun_Obij__betw @t1118 @t10 @t2 @t25 @t805) (tptp.c_Fun_Obij__betw @t1118 @t40 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t40 @t1118 @t3352) @t2) @t25 @t6032)))))) % 45.25/45.46 (assume @p4822 (forall (@list @t6032 @t3352 @t1118 @t805 @t25 @t2 @t40 @t10) (=> @t6031 (= (tptp.c_Fun_Obij__betw @t40 @t1118 @t3352 @t805 @t6032) (tptp.c_Fun_Obij__betw @t10 @t1118 @t3586 @t25 @t6032))))) % 45.25/45.46 (assume @p4823 (forall (@list @t62 @t1 @t1118 @t24 @t25 @t2 @t40 @t10) (=> @t6030 (=> (tptp.c_Fun_Obij__betw @t40 @t1118 @t1 @t24 @t62) (tptp.c_Fun_Obij__betw @t10 @t1118 @t3587 @t25 @t62))))) % 45.25/45.46 (assume @p4824 (forall @t3400 (=> @t6029 (=> (tptp.c_Fun_Obij__betw @t40 @t1118 @t1 @t615 @t3582) (tptp.c_Fun_Obij__betw @t10 @t1118 @t3587 @t143 @t3582))))) % 45.25/45.46 (assume @p4825 (forall @t4327 (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t761 @t143 @t615) (= @t4326 @t4325)))) % 45.25/45.46 (assume @p4826 (forall @t575 (=> @t6029 (= @t683 @t682)))) % 45.25/45.46 (assume @p4827 (forall @t688 (= @t6029 (and @t684 @t6033)))) % 45.25/45.46 (assume @p4828 (forall @t688 (=> @t684 (=> @t6033 @t6029)))) % 45.25/45.46 (assume @p4829 (forall (@list @t394 @t62 @t24 @t25 @t2 @t40 @t10) (=> @t6030 (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t62 @t394) (=> (= (tptp.hAPP (tptp.hAPP @t610 @t24) @t394) @t573) (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t275 (tptp.hAPP (tptp.hAPP @t606 @t24) @t394))))))) % 45.25/45.46 (assume @p4830 (forall (@list @t2 @t4436 @t805 @t40 @t24 @t25 @t10) (=> @t385 (=> (= (tptp.hAPP (tptp.hAPP @t610 @t805) @t4436) @t573) (=> @t6031 (=> @t6034 (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t251 (tptp.hAPP (tptp.hAPP @t606 @t805) @t4436)))))))) % 45.25/45.46 (assume @p4831 (forall (@list @t4436 @t24 @t805 @t25 @t2 @t40 @t10) (=> @t6031 (=> @t30 (=> (= @t601 @t4436) @t6034))))) % 45.25/45.46 (assume @p4832 (forall @t688 (=> @t6029 @t6033))) % 45.25/45.46 (assume @p4833 (forall @t575 (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t25 @t615) @t6033))) % 45.25/45.46 (assume @p4834 (forall @t575 (=> @t691 (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t25 @t602)))) % 45.25/45.46 (assume @p4835 (forall @t609 (= @t6030 (and @t691 (= @t602 @t24))))) % 45.25/45.46 (assume @p4836 (forall @t609 (=> @t6030 @t691))) % 45.25/45.46 (assume @p4837 (forall @t688 (=> @t6029 @t684))) % 45.25/45.46 (assume @p4838 (forall @t609 (=> @t6030 @t1557))) % 45.25/45.46 (assume @p4839 (forall @t2408 (= (tptp.c_Quickcheck_Obeyond @t1258 @t3061) @t3061))) % 45.25/45.46 (assume @p4840 (forall @t609 (=> @t6030 (tptp.c_Fun_Obij__betw @t40 @t10 @t1021 @t24 @t25)))) % 45.25/45.46 (assume @p4841 (forall @t575 (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t142 @t25) @t574))) % 45.25/45.46 (assume @p4842 (forall @t575 (=> (tptp.c_Fun_Obij__betw @t10 @t40 @t2 @t25 @t573) @t151))) % 45.25/45.46 (assume @p4843 (forall @t609 (=> @t6030 (= @t675 @t798)))) % 45.25/45.46 (assume @p4844 (forall @t781 (=> @t675 (=> @t798 (= (exists @t619 (tptp.c_Fun_Obij__betw @t10 @t40 @t618 @t25 @t24)) @t1557))))) % 45.25/45.46 (assume @p4845 (forall @t33 (= (tptp.c_Fun_Obij__betw @t10 @t10 @t4581 @t25 @t24) @t26))) % 45.25/45.46 (assume @p4846 (forall @t144 (tptp.c_Fun_Obij__betw @t10 @t10 @t4581 @t143 @t143))) % 45.25/45.46 (assume @p4847 (forall @t711 (=> @t6029 (= @t4330 @t800)))) % 45.25/45.46 (assume @p4848 (forall @t575 (=> @t6029 (= @t4319 (tptp.hAPP @t6023 @t25))))) % 45.25/45.46 (assume @p4849 (forall @t755 (=> @t6038 (exists @t6037 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t6036 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1569 @t6035) @t753))))) % 45.25/45.46 (assume @p4850 (forall @t1562 (=> @t691 (=> @t1561 (=> @t1560 (=> @t1559 (exists @t6037 (tptp.c_Fun_Obij__betw @t10 @t40 @t6036 @t25 @t24)))))))) % 45.25/45.46 (assume @p4851 (forall @t755 (=> @t6038 (exists @t6037 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t6036 @t6039 @t753))))) % 45.25/45.46 (assume @p4852 (forall @t755 (=> @t6038 (exists @t6037 (tptp.c_Fun_Obij__betw @t10 tptp.tc_Nat_Onat @t6036 @t753 @t6039))))) % 45.25/45.46 (assume @p4853 (forall (@list @t99 @t49 @t174 @t10 @t1118 @t40) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t40 @t1118 @t10 @t174) @t49) @t99) (tptp.hAPP @t174 @t3246)))) % 45.25/45.46 (assume @p4854 (forall @t5961 (=> @t5960 (tptp.c_Relation_Orefl__on @t40 (tptp.hAPP (tptp.hAPP @t777 @t525) @t25) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t4110) @t525) @t2919))))) % 45.25/45.46 (assume @p4855 (forall (@list @t171 @t153 @t40 @t10 @t2) (=> @t6041 @t6040))) % 45.25/45.46 (assume @p4856 (forall @t3818 (= (tptp.hAPP @t3777 (tptp.c_Product__Type_Ocurry @t10 @t40 @t1118 @t2)) @t2))) % 45.25/45.46 (assume @p4857 (forall @t3818 (= (tptp.c_Product__Type_Ocurry @t10 @t40 @t1118 @t3778) @t2))) % 45.25/45.46 (assume @p4858 (forall @t3812 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t40 @t1118 @t10 @t2) @t153) @t171) (tptp.hAPP @t2 @t3797)))) % 45.25/45.46 (assume @p4859 (forall @t3800 (=> @t6040 @t6041))) % 45.25/45.46 (assume @p4860 (forall (@list @t58 @t3421 @t10) (=> @t4229 (= @t6043 @t2483)))) % 45.25/45.46 (assume @p4861 (forall (@list @t2919 @t2 @t10) (=> @t4828 (=> @t4773 (exists @t1970 (forall @t1386 (= (tptp.hAPP @t2 (tptp.hAPP @t3143 @t1384)) @t3066))))))) % 45.25/45.46 (assume @p4862 (forall @t4234 (= (tptp.hBOOL (tptp.hAPP @t6042 @t49)) @t4233))) % 45.25/45.46 (assume @p4863 (forall @t4717 (= (tptp.hBOOL (tptp.hAPP @t842 @t6042)) @t4233))) % 45.25/45.46 (assume @p4864 (forall (@list @t58 @t55 @t3421 @t10) (=> @t4229 (=> (forall @t7 (=> @t4890 @t287)) (=> (exists @t2482 (tptp.hBOOL (tptp.hAPP @t55 @t2480))) @t6043))))) % 45.25/45.46 (assume @p4865 (forall (@list @t58 @t40 @t3421 @t10) (=> @t4229 (= (tptp.c_Quotient_OBabs @t10 @t40 @t6042 @t58) @t58)))) % 45.25/45.46 (assume @p4866 (forall (@list @t402 @t40 @t1072 @t49 @t10) (=> (tptp.hBOOL (tptp.hAPP @t842 @t1072)) (= (tptp.hAPP (tptp.c_Quotient_OBabs @t10 @t40 @t1072 @t402) @t49) (tptp.hAPP @t402 @t49))))) % 45.25/45.46 (assume @p4867 (forall (@list @t1 @t2 @t40 @t25 @t24 @t10) (=> @t30 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t597 (tptp.hAPP @t3195 @t2)) (tptp.hAPP @t3195 @t1))))))) % 45.25/45.46 (assume @p4868 (forall @t3466 (=> (forall @t7 (=> @t205 (tptp.hBOOL (tptp.hAPP @t6044 @t775)))) (tptp.hBOOL (tptp.hAPP @t6044 @t3196))))) % 45.25/45.46 (assume @p4869 (forall (@list @t2919 @t6046 @t6047 @t6050 @t4093 @t40 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6052 @t6048)) @t6045)) (=> (not (= @t6051 @t6048)) (not (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6052 @t3803)) @t2919)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6049 @t6048)) @t6045)))))))))) % 45.25/45.46 (assume @p4870 (forall @t6067 (=> @t6066 (=> @t6064 (=> (forall (@list @t1038 @t1926 @t6057 @t6056) (=> @t6063 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP (tptp.hAPP @t4025 @t6062) @t6061)) @t6045)) (=> @t6058 @t3882)))) @t6055))))) % 45.25/45.46 (assume @p4871 (forall @t6067 (=> @t6066 (=> @t6055 (=> (forall @t3804 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4026 (tptp.hAPP @t6065 @t3803)) @t6045)) (forall (@list @t6057 @t6056) (=> @t6063 (=> @t3882 @t6058))))) @t6064))))) % 45.25/45.46 (assume @p4872 (forall (@list @t40 @t2 @t2919 @t10) (=> (forall (@list @t630 @t2092) (=> @t5992 (= @t631 (tptp.hAPP @t2 @t2092)))) @t4246))) % 45.25/45.46 (assume @p4873 (forall (@list @t1118 @t2 @t4215 @t40 @t4218 @t10) (=> (forall (@list @t6071 @t6069) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3756 (tptp.hAPP (tptp.hAPP @t3753 @t6071) @t6069)) @t4218)) (forall (@list @t6070 @t6068) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4021 @t6070) @t6068)) @t4215)) (= (tptp.hAPP (tptp.hAPP @t2 @t6071) @t6070) (tptp.hAPP (tptp.hAPP @t2 @t6069) @t6068)))))) @t4239))) % 45.25/45.46 (assume @p4874 (forall (@list @t6072 @t5934 @t35) (= (tptp.c_Lazy__Sequence_Oflat @t35 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t5931 @t5934 @t6072)) (tptp.c_Lazy__Sequence_Oappend @t35 @t5934 (tptp.c_Lazy__Sequence_Oflat @t35 @t6072))))) % 45.25/45.46 (assume @p4875 (forall @t216 (= (tptp.c_Lazy__Sequence_Oflat @t35 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t5931)) @t5969))) % 45.25/45.46 (assume @p4876 (forall (@list @t2 @t5595 @t10 @t40) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t40 @t10 @t5595) @t2) (tptp.c_Lazy__Sequence_Oflat @t10 (tptp.c_Lazy__Sequence_Omap @t40 @t5865 @t2 @t5595))))) % 45.25/45.46 (assume @p4877 (forall @t5976 (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat @t58 @t5742) @t6073))) % 45.25/45.46 (assume @p4878 (forall (@list @t5595 @t49 @t2 @t10 @t40) (= (tptp.c_Lazy__Sequence_Omap @t40 @t10 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t40 @t49 @t5595)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t51 (tptp.c_Lazy__Sequence_Omap @t40 @t10 @t2 @t5595))))) % 45.25/45.46 (assume @p4879 (forall @t576 (= (tptp.c_Lazy__Sequence_Omap @t40 @t10 @t2 @t5974) @t5970))) % 45.25/45.46 (assume @p4880 (forall @t5976 (= @t6073 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1191 @t1148)) @t287))))) % 45.25/45.46 (assume @p4881 (forall @t5976 (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat @t58 @t5742) (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) @t58) @t749 @t1143))))) % 45.25/45.46 (assume @p4882 (forall (@list @t749 @t5595 @t2 @t10 @t40) (= (tptp.c_New__DSequence_Opos__map @t40 @t10 @t2 @t5595 @t749) (tptp.c_Lazy__Sequence_Omap @t40 @t10 @t2 @t5929)))) % 45.25/45.46 (assume @p4883 (forall @t4015 (=> @t4006 (=> @t801 (=> (forall @t7 (=> @t891 @t2119)) (= @t2083 @t4014)))))) % 45.25/45.46 (assume @p4884 (forall @t2185 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t2184) @t2183)) (=> (tptp.hBOOL (tptp.hAPP @t2716 @t1274)) @t1376)))) % 45.25/45.46 (assume @p4885 (forall @t774 (=> @t675 (=> @t678 (exists @t2482 (tptp.hBOOL (tptp.hAPP @t1538 @t2480))))))) % 45.25/45.46 (assume @p4886 (forall @t2376 (tptp.hBOOL (tptp.hAPP @t6075 @t34)))) % 45.25/45.46 (assume @p4887 (forall @t331 (=> @t1350 (tptp.hBOOL (tptp.hAPP @t6077 @t1707))))) % 45.25/45.46 (assume @p4888 (forall @t2408 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t1701) @t1258)))) % 45.25/45.46 (assume @p4889 (forall (@list @t1254 @t1258) (=> @t6079 (=> @t1729 @t1261)))) % 45.25/45.46 (assume @p4890 (forall @t109 (=> (and @t6081 @t2244) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6080 @t2239) @t2238)) (= (tptp.c_Divides_Odiv__class_Omod @t10 @t2238 @t2239) @t1704))))) % 45.25/45.46 (assume @p4891 (forall (@list @t83 @t1254 @t1255 @t35) (=> @t1350 (=> @t1376 (tptp.hBOOL (tptp.hAPP @t6082 @t2142)))))) % 45.25/45.46 (assume @p4892 (forall (@list @t1255 @t1254 @t66 @t34 @t35) (=> @t1350 (=> @t6085 (=> @t1387 (tptp.hBOOL (tptp.hAPP @t6083 (tptp.hAPP @t2122 @t1255)))))))) % 45.25/45.46 (assume @p4893 (forall (@list @t1255 @t87 @t1254 @t83 @t35) (=> @t1350 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t2142) @t87)) (=> @t1376 (tptp.hBOOL (tptp.hAPP @t6082 @t87))))))) % 45.25/45.46 (assume @p4894 (forall (@list @t170 @t174 @t171 @t153) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1541 (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6074 @t153 @t171)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6074 @t174 @t170))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t153) @t171))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t174) @t153)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t171) @t170))))))) % 45.25/45.46 (assume @p4895 (forall @t1262 (=> @t6087 (=> @t6079 (=> @t1387 @t6086))))) % 45.25/45.46 (assume @p4896 (forall @t1262 (=> @t6087 (=> @t6086 (=> @t1387 @t6079))))) % 45.25/45.46 (assume @p4897 (forall @t2591 (= (tptp.hBOOL (tptp.hAPP @t6091 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t6090 @t160))) (and @t6089 (not @t6088))))) % 45.25/45.46 (assume @p4898 (forall @t2591 (= (tptp.hBOOL (tptp.hAPP @t6091 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t6090 @t160))) (and @t6088 (not @t6089))))) % 45.25/45.46 (assume @p4899 (forall @t2591 (= (tptp.hBOOL (tptp.hAPP @t6091 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t6074 @t160))) @t6088))) % 45.25/45.46 (assume @p4900 (forall @t2591 (= (tptp.hBOOL (tptp.hAPP @t6091 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t6074 @t160))) @t6089))) % 45.25/45.46 (assume @p4901 (forall @t1640 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t402) @t1701)) @t1852))) % 45.25/45.46 (assume @p4902 (forall @t1321 (=> @t1857 (=> @t1328 (not @t6092))))) % 45.25/45.46 (assume @p4903 (forall @t79 (=> @t2963 (=> @t6096 (= (tptp.hAPP @t6093 @t221) @t6095))))) % 45.25/45.46 (assume @p4904 (forall @t79 (=> @t2963 (=> @t6096 (= (tptp.hAPP (tptp.hAPP @t2559 @t220) @t66) @t6095))))) % 45.25/45.46 (assume @p4905 (forall @t109 (=> @t6099 (= (tptp.hBOOL (tptp.hAPP @t6097 @t226)) @t6098)))) % 45.25/45.46 (assume @p4906 (forall @t109 (=> @t6099 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6080 @t227) @t99)) @t6098)))) % 45.25/45.46 (assume @p4907 (forall @t1262 (=> @t6086 (=> @t6079 @t6087)))) % 45.25/45.46 (assume @p4908 (forall @t82 (=> @t1244 (=> @t6085 (=> (tptp.hBOOL (tptp.hAPP @t6084 @t72)) (tptp.hBOOL (tptp.hAPP @t6084 @t719))))))) % 45.25/45.46 (assume @p4909 (forall (@list @t1254 @t34 @t66 @t35) (=> @t2560 (=> @t6096 (= (tptp.hAPP (tptp.hAPP @t2121 @t6094) @t1254) (tptp.hAPP (tptp.hAPP @t2559 @t2926) @t6100)))))) % 45.25/45.46 (assume @p4910 (forall @t225 (=> @t2560 (=> @t6101 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t87 @t83) @t1707))))) % 45.25/45.46 (assume @p4911 (forall @t213 (=> @t6081 (= @t6103 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t171 @t153) @t1704))))) % 45.25/45.46 (assume @p4912 (forall (@list @t402 @t445 @t160 @t10) (=> @t6081 (=> (tptp.hBOOL (tptp.hAPP @t6104 @t445)) (= (tptp.hBOOL (tptp.hAPP @t6104 (tptp.c_Divides_Odiv__class_Omod @t10 @t402 @t445))) (tptp.hBOOL (tptp.hAPP @t6104 @t402))))))) % 45.25/45.46 (assume @p4913 (forall @t1769 (=> @t2560 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t84) @t87)) (= (tptp.c_Divides_Odiv__class_Omod @t35 @t2970 @t84) @t2961))))) % 45.25/45.46 (assume @p4914 (forall @t6109 (=> @t2560 (=> @t6108 (=> @t6107 @t6106))))) % 45.25/45.46 (assume @p4915 (forall @t6109 (=> @t2560 (=> @t6106 (=> @t6107 @t6108))))) % 45.25/45.46 (assume @p4916 (forall @t331 (=> @t1350 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t1707) @t83)) @t1717)))) % 45.25/45.46 (assume @p4917 (forall @t534 (=> @t6081 (=> @t6103 (=> (tptp.hBOOL (tptp.hAPP @t6102 @t174)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6080 (tptp.hAPP (tptp.hAPP @t6110 @t171) @t153)) (tptp.hAPP (tptp.hAPP @t6110 @t174) @t153))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6080 @t171) @t174)))))))) % 45.25/45.46 (assume @p4918 (forall (@list @t1254 @t66 @t34 @t35) (=> @t1350 (=> @t6085 (tptp.hBOOL (tptp.hAPP @t6083 @t6100)))))) % 45.25/45.46 (assume @p4919 (forall @t96 (=> @t1350 (=> @t6101 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6076 @t87) @t84)) (tptp.hBOOL (tptp.hAPP @t6077 @t84))))))) % 45.25/45.46 (assume @p4920 (forall @t331 (=> @t1350 (tptp.hBOOL (tptp.hAPP @t6077 @t83))))) % 45.25/45.46 (assume @p4921 (forall @t1473 (=> @t6114 (not (and @t6113 (not @t6111)))))) % 45.25/45.46 (assume @p4922 (forall @t1319 (=> @t6114 @t6119))) % 45.25/45.46 (assume @p4923 (forall @t2554 (=> @t6124 (not (and @t6123 (not @t6121)))))) % 45.25/45.46 (assume @p4924 (forall @t1319 (=> @t6114 (=> @t6118 @t6117)))) % 45.25/45.46 (assume @p4925 (forall @t1440 (=> @t6124 (=> @t88 @t6127)))) % 45.25/45.46 (assume @p4926 (forall @t1473 (=> @t6114 @t468))) % 45.25/45.46 (assume @p4927 (forall @t1473 (=> @t6114 @t450))) % 45.25/45.46 (assume @p4928 (forall @t1473 (=> @t6114 @t6111))) % 45.25/45.46 (assume @p4929 (forall @t1319 (=> @t6111 @t6119))) % 45.25/45.46 (assume @p4930 (forall @t1440 (=> @t97 (=> (and @t6128 (not (tptp.hBOOL (tptp.hAPP @t6125 @t87)))) @t6127)))) % 45.25/45.46 (assume @p4931 (forall @t1319 (=> @t6111 (=> @t6118 @t6116)))) % 45.25/45.46 (assume @p4932 (forall @t1473 (=> @t6111 (=> @t6113 @t78)))) % 45.25/45.46 (assume @p4933 (forall @t1321 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6074 @t1255) @t1254)) (=> @t6092 @t1377)))) % 45.25/45.46 (assume @p4934 (forall @t1440 (=> @t6121 (=> @t88 @t6126)))) % 45.25/45.46 (assume @p4935 (forall @t1440 (=> @t97 (=> @t6128 @t6126)))) % 45.25/45.46 (assume @p4936 (forall @t2554 (=> @t6121 (=> @t490 @t6124)))) % 45.25/45.46 (assume @p4937 (forall @t1473 (=> @t6111 (or @t6114 @t78)))) % 45.25/45.46 (assume @p4938 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p4939 (forall @t6133 (=> @t6132 (tptp.class_Lattices_Obounded__lattice @t6131)))) % 45.25/45.46 (assume @p4940 (forall @t6133 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6129) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6131)))) % 45.25/45.46 (assume @p4941 (forall @t6133 (=> @t6132 (tptp.class_Lattices_Obounded__lattice__top @t6131)))) % 45.25/45.46 (assume @p4942 (forall @t6133 (=> @t6132 (tptp.class_Lattices_Obounded__lattice__bot @t6131)))) % 45.25/45.46 (assume @p4943 (forall @t6133 (=> @t6134 (tptp.class_Lattices_Osemilattice__sup @t6131)))) % 45.25/45.46 (assume @p4944 (forall @t6133 (=> @t6134 (tptp.class_Lattices_Osemilattice__inf @t6131)))) % 45.25/45.46 (assume @p4945 (forall @t6133 (=> (tptp.class_Lattices_Odistrib__lattice @t6129) (tptp.class_Lattices_Odistrib__lattice @t6131)))) % 45.25/45.46 (assume @p4946 (forall @t6133 (=> (tptp.class_Lattices_Oboolean__algebra @t6129) (tptp.class_Lattices_Oboolean__algebra @t6131)))) % 45.25/45.46 (assume @p4947 (forall @t6133 (=> (tptp.class_Orderings_Opreorder @t6129) (tptp.class_Orderings_Opreorder @t6131)))) % 45.25/45.46 (assume @p4948 (forall @t6137 (=> @t6136 (tptp.class_Finite__Set_Ofinite @t6131)))) % 45.25/45.46 (assume @p4949 (forall @t6133 (=> @t6134 (tptp.class_Lattices_Olattice @t6131)))) % 45.25/45.46 (assume @p4950 (forall @t6133 (=> (tptp.class_Orderings_Oorder @t6129) (tptp.class_Orderings_Oorder @t6131)))) % 45.25/45.46 (assume @p4951 (forall @t6133 (=> (tptp.class_Orderings_Otop @t6129) (tptp.class_Orderings_Otop @t6131)))) % 45.25/45.46 (assume @p4952 (forall @t6133 (=> (tptp.class_Orderings_Oord @t6129) (tptp.class_Orderings_Oord @t6131)))) % 45.25/45.46 (assume @p4953 (forall @t6133 (=> (tptp.class_Orderings_Obot @t6129) (tptp.class_Orderings_Obot @t6131)))) % 45.25/45.46 (assume @p4954 (forall @t6133 (=> (tptp.class_Groups_Ouminus @t6129) (tptp.class_Groups_Ouminus @t6131)))) % 45.25/45.46 (assume @p4955 (forall @t6133 (=> (tptp.class_Groups_Ominus @t6129) (tptp.class_Groups_Ominus @t6131)))) % 45.25/45.46 (assume @p4956 (forall @t6137 (=> @t6139 (tptp.class_Enum_Oenum @t6131)))) % 45.25/45.46 (assume @p4957 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4958 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4959 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4960 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4961 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4962 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4963 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4964 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4965 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4966 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4967 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4968 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4969 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4970 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4971 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4972 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4973 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4974 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4975 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4976 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4977 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4978 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4979 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4980 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4981 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4982 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4983 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4984 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4985 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4986 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4987 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4988 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4989 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4990 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4991 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4992 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4993 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4994 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4995 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4996 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4997 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4998 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p4999 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5000 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5001 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5002 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5003 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5004 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5005 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5006 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5007 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5008 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5009 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5010 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5011 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5012 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5013 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5014 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5015 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5016 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5017 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5018 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5019 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5020 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5021 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5022 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5023 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5024 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5025 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5026 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 45.25/45.46 (assume @p5027 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5028 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5029 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5030 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5031 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5032 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5033 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5034 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5035 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5036 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5037 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5038 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5039 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5040 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5041 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5042 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5043 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5044 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5045 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5046 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5047 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5048 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5049 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5050 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5051 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5052 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5053 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5054 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5055 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5056 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5057 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5058 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5059 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5060 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5061 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5062 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5063 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5064 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5065 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5066 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5067 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5068 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5069 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5070 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5071 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5072 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5073 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5074 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 45.25/45.46 (assume @p5075 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5076 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5077 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5078 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5079 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5080 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5081 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5082 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5083 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5084 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5085 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5086 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5087 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5088 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5089 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5090 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5091 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5092 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 45.25/45.46 (assume @p5093 (forall @t6142 (=> @t6141 (tptp.class_Lazy__Sequence_Osmall__lazy @t6140)))) % 45.25/45.46 (assume @p5094 (forall @t6142 (tptp.class_Nat_Osize @t6140))) % 45.25/45.46 (assume @p5095 (forall @t6137 (=> @t6136 (tptp.class_Finite__Set_Ofinite @t6143)))) % 45.25/45.46 (assume @p5096 (forall @t6137 (=> @t6139 (tptp.class_Enum_Oenum @t6143)))) % 45.25/45.46 (assume @p5097 (forall @t6137 (tptp.class_Nat_Osize @t6143))) % 45.25/45.46 (assume @p5098 (forall @t6142 (=> @t6135 (tptp.class_Finite__Set_Ofinite @t6144)))) % 45.25/45.46 (assume @p5099 (forall @t6142 (=> @t6138 (tptp.class_Enum_Oenum @t6144)))) % 45.25/45.46 (assume @p5100 (forall @t6142 (tptp.class_Nat_Osize @t6144))) % 45.25/45.46 (assume @p5101 (forall @t6137 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6130 @t6129)))) % 45.25/45.46 (assume @p5102 (forall @t6137 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6130) @t6141) (tptp.class_Lazy__Sequence_Osmall__lazy @t6145)))) % 45.25/45.46 (assume @p5103 (forall @t6137 (=> @t6136 (tptp.class_Finite__Set_Ofinite @t6145)))) % 45.25/45.46 (assume @p5104 (forall @t6137 (=> @t6139 (tptp.class_Enum_Oenum @t6145)))) % 45.25/45.46 (assume @p5105 (forall @t6137 (tptp.class_Nat_Osize @t6145))) % 45.25/45.46 (assume @p5106 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 45.25/45.46 (assume @p5107 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 45.25/45.46 (assume @p5108 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 45.25/45.46 (assume @p5109 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 45.25/45.46 (assume @p5110 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 45.25/45.46 (assume @p5111 (forall @t6142 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6129)))) % 45.25/45.46 (assume @p5112 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5113 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5114 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5115 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5116 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5117 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5118 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5119 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5121 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5122 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5123 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5124 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5128 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5129 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5130 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5131 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5132 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5133 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5134 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5135 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5136 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5137 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5138 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5139 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5140 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5141 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5142 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5143 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5144 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5145 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5146 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5147 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5148 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5149 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5150 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5151 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5152 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 45.25/45.46 (assume @p5153 (forall @t6142 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6129)))) % 45.25/45.46 (assume @p5154 (forall (@list @t6146 @t35) (= (tptp.hAPP (tptp.c_COMBI @t35) @t6146) @t6146))) % 45.25/45.46 (assume @p5155 (forall (@list @t6147 @t6146 @t10 @t35) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t35 @t10) @t6146) @t6147) @t6146))) % 45.25/45.46 (assume @p5156 (forall (@list @t3421 @t55 @t58 @t1118 @t10 @t40) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3494 @t58) @t55) @t3421) (tptp.hAPP @t58 @t6148)))) % 45.25/45.46 (assume @p5157 (forall @t6150 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3337 @t58) @t55) @t3421) (tptp.hAPP @t6149 @t55)))) % 45.25/45.46 (assume @p5158 (forall @t6150 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t40 @t1118 @t10) @t58) @t55) @t3421) (tptp.hAPP @t6149 @t6148)))) % 45.25/45.49 (assume @p5159 (forall @t2700 (or (not @t6151) @t100))) % 45.25/45.49 (assume @p5160 (forall @t2700 (or @t483 @t6151))) % 45.25/45.49 (assume @p5161 (not (tptp.hBOOL tptp.c_fFalse))) % 45.25/45.49 (assume @p5162 (tptp.hBOOL tptp.c_fTrue)) % 45.25/45.49 (assume @p5163 (forall @t2695 (or (not @t6154) @t6153))) % 45.25/45.49 (assume @p5164 (forall @t2695 (or (not @t6153) @t6154))) % 45.25/45.49 (assume @p5165 (forall @t6158 (or @t6153 @t6157 @t6155))) % 45.25/45.49 (assume @p5166 (forall @t6158 (or @t6159 @t6152))) % 45.25/45.49 (assume @p5167 (forall @t6158 (or @t6159 @t6156))) % 45.25/45.49 (assume @p5168 (forall @t6158 (or @t6153 @t6160))) % 45.25/45.49 (assume @p5169 (forall @t6161 (or @t6157 @t6160))) % 45.25/45.49 (assume @p5170 (forall @t6158 (or (not @t6160) @t6152 @t6156))) % 45.25/45.49 (assume @p5171 (forall @t6158 (or @t6152 @t6162))) % 45.25/45.49 (assume @p5172 (forall @t6161 (or @t6157 @t6162))) % 45.25/45.49 (assume @p5173 (forall @t6158 (or (not @t6162) @t6153 @t6156))) % 45.25/45.49 (assume @p5174 @t6163) % 45.25/45.49 (assume @p5175 @t6170) % 45.25/45.49 (assume @p5176 true) % 45.25/45.49 (step @p5177 :rule aci_norm :args ((= (or @t6172 (or @t6171 @t11)) @t6173))) % 45.25/45.49 (step @p5178 :rule bool-impl-elim :args (@t19 @t11)) % 45.25/45.49 (step @p5179 :rule refl :args (@t6172)) % 45.25/45.49 (step @p5180 :rule nary_cong :premises (@p5179 @p5178) :args ((or @t6172 @t20))) % 45.25/45.49 (step @p5181 :rule trans :premises (@p5180 @p5177)) % 45.25/45.49 (step @p5182 :rule bool-impl-elim :args (@t21 @t20)) % 45.25/45.49 (step @p5183 :rule trans :premises (@p5182 @p5181)) % 45.25/45.49 (step @p5184 :rule cong :premises (@p5183) :args (@t23)) % 45.25/45.49 (step @p5185 :rule eq_resolve :premises (@p4 @p5184)) % 45.25/45.49 (step @p5186 :rule bool-impl-elim :args (@t15 @t11)) % 45.25/45.49 (step @p5187 :rule cong :premises (@p5186) :args (@t16)) % 45.25/45.49 (step @p5188 :rule eq_resolve :premises (@p2 @p5187)) % 45.25/45.49 (step @p5189 :rule instantiate :premises (@p5188) :args ((@list @t6174 tptp.v_G_H tptp.t_a))) % 45.25/45.49 (step @p5190 :rule bool-impl-elim :args (@t6167 @t6165)) % 45.25/45.49 (step @p5191 :rule cong :premises (@p5190) :args (@t6169)) % 45.25/45.49 (step @p5192 :rule cong :premises (@p5191) :args (@t6170)) % 45.25/45.49 (step @p5193 :rule eq_resolve :premises (@p5175 @p5192)) % 45.25/45.49 (step @p5194 :rule skolemize :premises (@p5193)) % 45.25/45.49 (step @p5195 :rule bool-double-not-elim :args (@t6175)) % 45.25/45.49 (step @p5196 :rule refl :args (@t6178)) % 45.25/45.49 (step @p5197 :rule nary_cong :premises (@p5196 @p5195) :args ((or @t6178 (not @t6177)))) % 45.25/45.49 (step @p5198 :rule cnf_or_neg :args (@t6178 0)) % 45.25/45.49 (step @p5199 :rule eq_resolve :premises (@p5198 @p5197)) % 45.25/45.49 (step @p5200 :rule reordering :premises (@p5199) :args ((or @t6175 @t6178))) % 45.25/45.49 (step @p5201 :rule chain_m_resolution :premises (@p5200 @p5194) :args (@t6175 @t6179 @t6180)) % 45.25/45.49 (step @p5202 :rule cnf_or_pos :args (@t6182)) % 45.25/45.49 (step @p5203 :rule reordering :premises (@p5202) :args ((or @t6177 @t6181 (not @t6182)))) % 45.25/45.49 (step @p5204 :rule chain_m_resolution :premises (@p5203 @p5201 @p5189) :args (@t6181 (@list false false) (@list @t6175 @t6182))) % 45.25/45.49 (step @p5205 :rule cnf_or_neg :args (@t6178 1)) % 45.25/45.49 (step @p5206 :rule chain_m_resolution :premises (@p5205 @p5194) :args ((not @t6176) @t6179 @t6180)) % 45.25/45.49 (step @p5207 :rule cnf_or_pos :args (@t6185)) % 45.25/45.49 (step @p5208 :rule reordering :premises (@p5207) :args ((or @t6184 @t6176 @t6183 @t6186))) % 45.25/45.49 (step @p5209 :rule chain_m_resolution :premises (@p5208 @p5174 @p5206 @p5204) :args (@t6186 (@list false true false) (@list @t6163 @t6176 @t6181))) % 45.25/45.49 (assume-push @p5216 @t6187) % 45.25/45.49 (step @p5211 :rule instantiate :premises (@p5185) :args ((@list @t6174 tptp.v_ts tptp.v_G_H tptp.t_a))) % 45.25/45.49 (step-pop @p5217 :rule scope :premises (@p5211)) % 45.25/45.49 (step @p5212 :rule process_scope :premises (@p5217) :args (@t6185)) % 45.25/45.49 (step @p5214 :rule implies_elim :premises (@p5212)) % 45.25/45.49 (step @p5215 false :rule chain_m_resolution :premises (@p5214 @p5209 @p5185) :args (false (@list true false) (@list @t6185 @t6187))) % 45.25/45.49 ) % 45.25/45.49 % SZS output end Proof % 45.25/45.49 % cvc5 exiting %------------------------------------------------------------------------------