%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW316+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 09:04:43 AM UTC 2026 % Result : Theorem 47.01s 47.26s % Output : Proof 47.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW316+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:46:29 EDT 2026 % 0.16/0.35 % CPUTime : % 1.08/1.99 %----Proving TF0_NAR, FOF, or CNF % 47.01/47.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 47.01/47.26 --- Run --no-e-matching --full-saturate-quant at 6... % 47.01/47.26 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 47.01/47.26 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 47.01/47.26 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.01/47.26 % SZS status Theorem % 47.01/47.26 % SZS output start Proof % 47.01/47.26 ( % 47.01/47.26 (declare-sort $$unsorted 0) % 47.01/47.26 (declare-const tptp.v_Ga $$unsorted) % 47.01/47.26 (declare-const tptp.v_P $$unsorted) % 47.01/47.26 (declare-const tptp.v_G $$unsorted) % 47.01/47.26 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.t_a $$unsorted) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 47.01/47.26 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Int_OInteg $$unsorted) % 47.01/47.26 (declare-const tptp.c_Int_Ointrel $$unsorted) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 47.01/47.26 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 47.01/47.26 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 47.01/47.26 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 47.01/47.26 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 47.01/47.26 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 47.01/47.26 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 47.01/47.26 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 47.01/47.26 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.tc_Int_Oint $$unsorted) % 47.01/47.26 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.26 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 47.01/47.26 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 47.01/47.27 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_Com_Ostate $$unsorted) % 47.01/47.27 (declare-const tptp.tc_Nat_Onat $$unsorted) % 47.01/47.27 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Com_Obody $$unsorted) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 47.01/47.27 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 47.01/47.27 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Partial__Function_Omk__less (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_HOL_Obool $$unsorted) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_Com_Ocom $$unsorted) % 47.01/47.27 (declare-const tptp.tc_Com_Opname $$unsorted) % 47.01/47.27 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_fequal $$unsorted) % 47.01/47.27 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 47.01/47.27 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_fconj $$unsorted) % 47.01/47.27 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_fNot $$unsorted) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat_OSuc $$unsorted) % 47.01/47.27 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_OPls $$unsorted) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 47.01/47.27 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 47.01/47.27 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_fFalse $$unsorted) % 47.01/47.27 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Onat $$unsorted) % 47.01/47.27 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 47.01/47.27 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 47.01/47.27 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.v_Q $$unsorted) % 47.01/47.27 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.v_Procs $$unsorted) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_fimplies $$unsorted) % 47.01/47.27 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_fTrue $$unsorted) % 47.01/47.27 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_fdisj $$unsorted) % 47.01/47.27 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 47.01/47.27 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 47.01/47.27 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 47.01/47.27 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 47.01/47.27 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 47.01/47.27 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Int_OMin $$unsorted) % 47.01/47.27 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 47.01/47.27 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 47.01/47.27 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 47.01/47.27 (define @t1 () (@var "V_g_2" $$unsorted)) % 47.01/47.27 (define @t2 () (@var "V_f_2" $$unsorted)) % 47.01/47.27 (define @t3 () (@var "B_x" $$unsorted)) % 47.01/47.27 (define @t4 () (tptp.hAPP @t1 @t3)) % 47.01/47.27 (define @t5 () (tptp.hAPP @t2 @t3)) % 47.01/47.27 (define @t6 () (= @t5 @t4)) % 47.01/47.27 (define @t7 () (@list @t3)) % 47.01/47.27 (define @t8 () (@var "V_fun2_H_2" $$unsorted)) % 47.01/47.27 (define @t9 () (@var "V_fun2_2" $$unsorted)) % 47.01/47.27 (define @t10 () (@var "V_com_H_2" $$unsorted)) % 47.01/47.27 (define @t11 () (@var "V_com_2" $$unsorted)) % 47.01/47.27 (define @t12 () (= @t11 @t10)) % 47.01/47.27 (define @t13 () (@var "V_fun1_H_2" $$unsorted)) % 47.01/47.27 (define @t14 () (@var "V_fun1_2" $$unsorted)) % 47.01/47.27 (define @t15 () (@var "T_b" $$unsorted)) % 47.01/47.27 (define @t16 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t15)) % 47.01/47.27 (define @t17 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t14) @t11) @t9)) % 47.01/47.27 (define @t18 () (@var "V_tsa_2" $$unsorted)) % 47.01/47.27 (define @t19 () (@var "V_G_2" $$unsorted)) % 47.01/47.27 (define @t20 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 @t18)) % 47.01/47.27 (define @t21 () (tptp.tc_Hoare__Mirabelle_Otriple @t15)) % 47.01/47.27 (define @t22 () (tptp.tc_fun @t21 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t23 () (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t22) @t18)) % 47.01/47.27 (define @t24 () (tptp.hBOOL (tptp.hAPP @t23 @t19))) % 47.01/47.27 (define @t25 () (forall (@list @t19 @t18 @t15) (=> @t24 @t20))) % 47.01/47.27 (define @t26 () (@var "V_ts_H_2" $$unsorted)) % 47.01/47.27 (define @t27 () (@var "V_G_Ha_2" $$unsorted)) % 47.01/47.27 (define @t28 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 @t27)) % 47.01/47.27 (define @t29 () (=> @t28 @t20)) % 47.01/47.27 (define @t30 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t27 @t18)) % 47.01/47.27 (define @t31 () (@list @t19 @t18 @t27 @t15)) % 47.01/47.27 (define @t32 () (forall @t31 (=> @t30 @t29))) % 47.01/47.27 (define @t33 () (@var "V_Procs_2" $$unsorted)) % 47.01/47.27 (define @t34 () (@var "V_Q_2" $$unsorted)) % 47.01/47.27 (define @t35 () (@var "V_P_2" $$unsorted)) % 47.01/47.27 (define @t36 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t37 () (tptp.tc_fun @t15 @t36)) % 47.01/47.27 (define @t38 () (tptp.tc_fun @t37 @t21)) % 47.01/47.27 (define @t39 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t38) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t37 (tptp.tc_fun tptp.tc_Com_Ocom @t38) tptp.tc_Com_Opname) @t16) @t35))) % 47.01/47.27 (define @t40 () (tptp.c_COMBS tptp.tc_Com_Opname @t37 @t21)) % 47.01/47.27 (define @t41 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t21 (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t39 tptp.c_Com_Ocom_OBODY)) @t34)) @t33)) % 47.01/47.27 (define @t42 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 @t41)) % 47.01/47.27 (define @t43 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 47.01/47.27 (define @t44 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t43) tptp.c_Com_Obody)) % 47.01/47.27 (define @t45 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t22) @t19) @t41) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t21 (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t39 @t44)) @t34)) @t33))) % 47.01/47.27 (define @t46 () (forall (@list @t33 @t34 @t35 @t19 @t15) (=> @t45 @t42))) % 47.01/47.27 (define @t47 () (@var "V_x_2" $$unsorted)) % 47.01/47.27 (define @t48 () (@var "V_B_2" $$unsorted)) % 47.01/47.27 (define @t49 () (tptp.hAPP @t48 @t47)) % 47.01/47.27 (define @t50 () (tptp.hBOOL @t49)) % 47.01/47.27 (define @t51 () (@var "V_A_2" $$unsorted)) % 47.01/47.27 (define @t52 () (tptp.hAPP @t51 @t47)) % 47.01/47.27 (define @t53 () (tptp.hBOOL @t52)) % 47.01/47.27 (define @t54 () (tptp.tc_fun @t15 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t55 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t54)) % 47.01/47.27 (define @t56 () (tptp.hAPP @t55 @t51)) % 47.01/47.27 (define @t57 () (tptp.hAPP @t56 @t48)) % 47.01/47.27 (define @t58 () (tptp.hBOOL (tptp.hAPP @t57 @t47))) % 47.01/47.27 (define @t59 () (@list @t47 @t48 @t51 @t15)) % 47.01/47.27 (define @t60 () (not @t50)) % 47.01/47.27 (define @t61 () (= @t51 @t48)) % 47.01/47.27 (define @t62 () (tptp.c_Orderings_Oord__class_Oless__eq @t54)) % 47.01/47.27 (define @t63 () (tptp.hAPP @t62 @t48)) % 47.01/47.27 (define @t64 () (tptp.hBOOL (tptp.hAPP @t63 @t51))) % 47.01/47.27 (define @t65 () (tptp.hAPP @t62 @t51)) % 47.01/47.27 (define @t66 () (tptp.hBOOL (tptp.hAPP @t65 @t48))) % 47.01/47.27 (define @t67 () (@list @t48 @t51 @t15)) % 47.01/47.27 (define @t68 () (tptp.hAPP @t1 @t47)) % 47.01/47.27 (define @t69 () (tptp.hAPP @t2 @t47)) % 47.01/47.27 (define @t70 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t15)) % 47.01/47.27 (define @t71 () (@var "T_c" $$unsorted)) % 47.01/47.27 (define @t72 () (tptp.tc_fun @t71 @t15)) % 47.01/47.27 (define @t73 () (tptp.class_Lattices_Olattice @t15)) % 47.01/47.27 (define @t74 () (@list @t47 @t1 @t2 @t71 @t15)) % 47.01/47.27 (define @t75 () (@var "V_x" $$unsorted)) % 47.01/47.27 (define @t76 () (@var "T_a" $$unsorted)) % 47.01/47.27 (define @t77 () (tptp.c_Orderings_Oord__class_Oless__eq @t76)) % 47.01/47.27 (define @t78 () (tptp.hAPP @t77 @t75)) % 47.01/47.27 (define @t79 () (tptp.class_Orderings_Opreorder @t76)) % 47.01/47.27 (define @t80 () (@list @t75 @t76)) % 47.01/47.27 (define @t81 () (@var "V_f1_2" $$unsorted)) % 47.01/47.27 (define @t82 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t81 @t14) @t11) @t9)) % 47.01/47.27 (define @t83 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t71) @t14) @t11) @t9)) % 47.01/47.27 (define @t84 () (@list @t9 @t11 @t14 @t81 @t15 @t71)) % 47.01/47.27 (define @t85 () (tptp.c_Set_Oimage @t71 @t15 @t2)) % 47.01/47.27 (define @t86 () (tptp.hAPP @t85 @t48)) % 47.01/47.27 (define @t87 () (tptp.hAPP @t85 @t51)) % 47.01/47.27 (define @t88 () (tptp.tc_fun @t71 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t89 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t88)) % 47.01/47.27 (define @t90 () (tptp.hAPP @t89 @t51)) % 47.01/47.27 (define @t91 () (tptp.hAPP @t90 @t48)) % 47.01/47.27 (define @t92 () (@list @t48 @t51 @t2 @t15 @t71)) % 47.01/47.27 (define @t93 () (@list @t51 @t48 @t15)) % 47.01/47.27 (define @t94 () (= @t57 @t48)) % 47.01/47.27 (define @t95 () (@var "V_y" $$unsorted)) % 47.01/47.27 (define @t96 () (tptp.hAPP @t77 @t95)) % 47.01/47.27 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t75))) % 47.01/47.27 (define @t98 () (tptp.hBOOL (tptp.hAPP @t78 @t95))) % 47.01/47.27 (define @t99 () (tptp.class_Orderings_Olinorder @t76)) % 47.01/47.27 (define @t100 () (@list @t95 @t75 @t76)) % 47.01/47.27 (define @t101 () (@var "V_z" $$unsorted)) % 47.01/47.27 (define @t102 () (tptp.hAPP @t77 @t101)) % 47.01/47.27 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t75))) % 47.01/47.27 (define @t104 () (tptp.hBOOL (tptp.hAPP @t102 @t95))) % 47.01/47.27 (define @t105 () (tptp.class_Orderings_Oorder @t76)) % 47.01/47.27 (define @t106 () (@list @t101 @t75 @t95 @t76)) % 47.01/47.27 (define @t107 () (= @t75 @t95)) % 47.01/47.27 (define @t108 () (@list @t75 @t95 @t76)) % 47.01/47.27 (define @t109 () (tptp.hBOOL (tptp.hAPP @t78 @t101))) % 47.01/47.27 (define @t110 () (tptp.hBOOL (tptp.hAPP @t96 @t101))) % 47.01/47.27 (define @t111 () (@list @t101 @t95 @t75 @t76)) % 47.01/47.27 (define @t112 () (@var "V_a" $$unsorted)) % 47.01/47.27 (define @t113 () (@var "V_c" $$unsorted)) % 47.01/47.27 (define @t114 () (tptp.hAPP @t77 @t113)) % 47.01/47.27 (define @t115 () (tptp.hBOOL (tptp.hAPP @t114 @t112))) % 47.01/47.27 (define @t116 () (@var "V_b" $$unsorted)) % 47.01/47.27 (define @t117 () (= @t116 @t113)) % 47.01/47.27 (define @t118 () (tptp.hAPP @t77 @t116)) % 47.01/47.27 (define @t119 () (tptp.hBOOL (tptp.hAPP @t118 @t112))) % 47.01/47.27 (define @t120 () (@list @t113 @t112 @t116 @t76)) % 47.01/47.27 (define @t121 () (tptp.hAPP @t77 @t112)) % 47.01/47.27 (define @t122 () (tptp.hBOOL (tptp.hAPP @t121 @t113))) % 47.01/47.27 (define @t123 () (tptp.hBOOL (tptp.hAPP @t121 @t116))) % 47.01/47.27 (define @t124 () (tptp.class_Orderings_Oord @t76)) % 47.01/47.27 (define @t125 () (@list @t113 @t116 @t112 @t76)) % 47.01/47.27 (define @t126 () (= @t112 @t116)) % 47.01/47.27 (define @t127 () (tptp.hBOOL (tptp.hAPP @t118 @t113))) % 47.01/47.27 (define @t128 () (@var "V_y_2" $$unsorted)) % 47.01/47.27 (define @t129 () (= @t47 @t128)) % 47.01/47.27 (define @t130 () (tptp.c_Orderings_Oord__class_Oless__eq @t15)) % 47.01/47.27 (define @t131 () (tptp.hAPP @t130 @t47)) % 47.01/47.27 (define @t132 () (tptp.hBOOL (tptp.hAPP @t131 @t128))) % 47.01/47.27 (define @t133 () (= @t132 @t129)) % 47.01/47.27 (define @t134 () (tptp.hAPP @t130 @t128)) % 47.01/47.27 (define @t135 () (tptp.hBOOL (tptp.hAPP @t134 @t47))) % 47.01/47.27 (define @t136 () (tptp.class_Orderings_Oorder @t15)) % 47.01/47.27 (define @t137 () (@list @t47 @t128 @t15)) % 47.01/47.27 (define @t138 () (@list @t128 @t47 @t15)) % 47.01/47.27 (define @t139 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t76)) % 47.01/47.27 (define @t140 () (tptp.hAPP @t139 @t95)) % 47.01/47.27 (define @t141 () (tptp.hAPP @t140 @t101)) % 47.01/47.27 (define @t142 () (tptp.hAPP @t139 @t75)) % 47.01/47.27 (define @t143 () (tptp.hAPP @t142 @t141)) % 47.01/47.27 (define @t144 () (tptp.hAPP @t142 @t95)) % 47.01/47.27 (define @t145 () (= (tptp.hAPP (tptp.hAPP @t139 @t144) @t101) @t143)) % 47.01/47.27 (define @t146 () (tptp.class_Lattices_Osemilattice__sup @t76)) % 47.01/47.27 (define @t147 () (tptp.class_Lattices_Olattice @t76)) % 47.01/47.27 (define @t148 () (tptp.hAPP @t139 @t116)) % 47.01/47.27 (define @t149 () (tptp.hAPP @t139 @t112)) % 47.01/47.27 (define @t150 () (tptp.hAPP @t149 (tptp.hAPP @t148 @t113))) % 47.01/47.27 (define @t151 () (tptp.hAPP @t149 @t116)) % 47.01/47.27 (define @t152 () (tptp.hAPP @t142 @t101)) % 47.01/47.27 (define @t153 () (= @t143 (tptp.hAPP @t140 @t152))) % 47.01/47.27 (define @t154 () (= (tptp.hAPP @t142 @t144) @t144)) % 47.01/47.27 (define @t155 () (@list @t116 @t112 @t76)) % 47.01/47.27 (define @t156 () (tptp.hAPP @t140 @t75)) % 47.01/47.27 (define @t157 () (= @t144 @t156)) % 47.01/47.27 (define @t158 () (= (tptp.hAPP @t142 @t75) @t75)) % 47.01/47.27 (define @t159 () (@list @t112 @t76)) % 47.01/47.27 (define @t160 () (@list @t15 @t48 @t51)) % 47.01/47.27 (define @t161 () (@var "V_C_2" $$unsorted)) % 47.01/47.27 (define @t162 () (tptp.hBOOL (tptp.hAPP @t65 @t161))) % 47.01/47.27 (define @t163 () (tptp.hBOOL (tptp.hAPP @t63 @t161))) % 47.01/47.27 (define @t164 () (@list @t161 @t48 @t51 @t15)) % 47.01/47.27 (define @t165 () (tptp.hAPP @t34 @t47)) % 47.01/47.27 (define @t166 () (tptp.hBOOL @t165)) % 47.01/47.27 (define @t167 () (tptp.hAPP @t35 @t47)) % 47.01/47.27 (define @t168 () (tptp.hBOOL @t167)) % 47.01/47.27 (define @t169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t35) @t34))) % 47.01/47.27 (define @t170 () (@list @t51 @t15)) % 47.01/47.27 (define @t171 () (tptp.hAPP @t35 @t3)) % 47.01/47.27 (define @t172 () (tptp.hBOOL @t171)) % 47.01/47.27 (define @t173 () (tptp.c_member @t15)) % 47.01/47.27 (define @t174 () (tptp.hAPP @t173 @t3)) % 47.01/47.27 (define @t175 () (tptp.hBOOL (tptp.hAPP @t174 @t48))) % 47.01/47.27 (define @t176 () (tptp.hBOOL (tptp.hAPP @t174 @t51))) % 47.01/47.27 (define @t177 () (tptp.hBOOL (tptp.hAPP @t174 @t57))) % 47.01/47.27 (define @t178 () (@list @t35 @t48 @t51 @t15)) % 47.01/47.27 (define @t179 () (tptp.hAPP @t55 @t48)) % 47.01/47.27 (define @t180 () (tptp.hAPP @t179 @t161)) % 47.01/47.27 (define @t181 () (tptp.hAPP @t56 @t180)) % 47.01/47.27 (define @t182 () (tptp.hAPP @t56 @t161)) % 47.01/47.27 (define @t183 () (tptp.hAPP @t179 @t51)) % 47.01/47.27 (define @t184 () (@var "T_d" $$unsorted)) % 47.01/47.27 (define @t185 () (tptp.c_COMBB @t71 @t15 @t184)) % 47.01/47.27 (define @t186 () (tptp.c_Set_Oimage @t184 @t71 @t1)) % 47.01/47.27 (define @t187 () (tptp.hBOOL (tptp.hAPP @t118 @t75))) % 47.01/47.27 (define @t188 () (tptp.hBOOL (tptp.hAPP @t121 @t75))) % 47.01/47.27 (define @t189 () (not (=> @t188 (not @t187)))) % 47.01/47.27 (define @t190 () (tptp.hAPP @t77 @t151)) % 47.01/47.27 (define @t191 () (tptp.hBOOL (tptp.hAPP @t190 @t75))) % 47.01/47.27 (define @t192 () (@list @t75 @t116 @t112 @t76)) % 47.01/47.27 (define @t193 () (@var "V_d" $$unsorted)) % 47.01/47.27 (define @t194 () (tptp.hBOOL (tptp.hAPP @t118 @t193))) % 47.01/47.27 (define @t195 () (@list @t193 @t116 @t113 @t112 @t76)) % 47.01/47.27 (define @t196 () (@list @t116 @t75 @t112 @t76)) % 47.01/47.27 (define @t197 () (tptp.hBOOL (tptp.hAPP @t78 @t151))) % 47.01/47.27 (define @t198 () (tptp.hBOOL (tptp.hAPP @t78 @t116))) % 47.01/47.27 (define @t199 () (@list @t112 @t116 @t75 @t76)) % 47.01/47.27 (define @t200 () (tptp.hBOOL (tptp.hAPP @t78 @t112))) % 47.01/47.27 (define @t201 () (@list @t116 @t112 @t75 @t76)) % 47.01/47.27 (define @t202 () (@var "V_z_2" $$unsorted)) % 47.01/47.27 (define @t203 () (tptp.hBOOL (tptp.hAPP @t134 @t202))) % 47.01/47.27 (define @t204 () (tptp.hBOOL (tptp.hAPP @t131 @t202))) % 47.01/47.27 (define @t205 () (and @t204 @t203)) % 47.01/47.27 (define @t206 () (tptp.hAPP @t70 @t47)) % 47.01/47.27 (define @t207 () (tptp.hAPP @t206 @t128)) % 47.01/47.27 (define @t208 () (tptp.class_Lattices_Osemilattice__sup @t15)) % 47.01/47.27 (define @t209 () (@list @t202 @t128 @t47 @t15)) % 47.01/47.27 (define @t210 () (tptp.hBOOL (tptp.hAPP @t96 @t144))) % 47.01/47.27 (define @t211 () (tptp.hBOOL (tptp.hAPP @t78 @t144))) % 47.01/47.27 (define @t212 () (tptp.c_Orderings_Oord__class_Oless__eq @t71)) % 47.01/47.27 (define @t213 () (tptp.hAPP @t212 @t69)) % 47.01/47.27 (define @t214 () (tptp.tc_fun @t15 @t71)) % 47.01/47.27 (define @t215 () (tptp.c_Orderings_Oord__class_Oless__eq @t214)) % 47.01/47.27 (define @t216 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t215 @t2) @t1))) % 47.01/47.27 (define @t217 () (tptp.class_Orderings_Oord @t71)) % 47.01/47.27 (define @t218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t5) @t4))) % 47.01/47.27 (define @t219 () (@list @t1 @t2 @t15 @t71)) % 47.01/47.27 (define @t220 () (tptp.c_Set_Oimage @t15 @t71 @t2)) % 47.01/47.27 (define @t221 () (tptp.hAPP @t220 @t48)) % 47.01/47.27 (define @t222 () (tptp.hAPP @t220 @t51)) % 47.01/47.27 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq @t88)) % 47.01/47.27 (define @t224 () (tptp.hAPP @t223 @t222)) % 47.01/47.27 (define @t225 () (tptp.hBOOL (tptp.hAPP @t224 @t221))) % 47.01/47.27 (define @t226 () (@list @t2 @t71 @t48 @t51 @t15)) % 47.01/47.27 (define @t227 () (@var "B_AA" $$unsorted)) % 47.01/47.27 (define @t228 () (tptp.hBOOL (tptp.hAPP @t63 @t87))) % 47.01/47.27 (define @t229 () (@list @t51 @t2 @t71 @t48 @t15)) % 47.01/47.27 (define @t230 () (@var "V_D_2" $$unsorted)) % 47.01/47.27 (define @t231 () (tptp.hAPP @t55 @t161)) % 47.01/47.27 (define @t232 () (tptp.hAPP @t62 @t57)) % 47.01/47.27 (define @t233 () (tptp.hBOOL (tptp.hAPP @t63 @t230))) % 47.01/47.27 (define @t234 () (@list @t230 @t48 @t161 @t51 @t15)) % 47.01/47.27 (define @t235 () (@list @t48 @t161 @t51 @t15)) % 47.01/47.27 (define @t236 () (@var "V_Y_2" $$unsorted)) % 47.01/47.27 (define @t237 () (tptp.c_COMBI @t15)) % 47.01/47.27 (define @t238 () (@list @t236 @t15)) % 47.01/47.27 (define @t239 () (@var "V_pname_H_2" $$unsorted)) % 47.01/47.27 (define @t240 () (@var "V_pname_2" $$unsorted)) % 47.01/47.27 (define @t241 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t239)) % 47.01/47.27 (define @t242 () (tptp.c_Predicate_OPowp @t15 @t51)) % 47.01/47.27 (define @t243 () (tptp.tc_fun @t54 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t244 () (tptp.c_Orderings_Oord__class_Oless__eq @t243)) % 47.01/47.27 (define @t245 () (tptp.c_Orderings_Obot__class_Obot @t22)) % 47.01/47.27 (define @t246 () (@var "V_pn_2" $$unsorted)) % 47.01/47.27 (define @t247 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t246)) % 47.01/47.27 (define @t248 () (tptp.c_Set_Oinsert @t21)) % 47.01/47.27 (define @t249 () (@var "V_s1" $$unsorted)) % 47.01/47.27 (define @t250 () (@var "V_s0" $$unsorted)) % 47.01/47.27 (define @t251 () (@var "V_pn" $$unsorted)) % 47.01/47.27 (define @t252 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t251)) % 47.01/47.27 (define @t253 () (tptp.hAPP @t43 (tptp.hAPP tptp.c_Com_Obody @t251))) % 47.01/47.27 (define @t254 () (@var "V_s" $$unsorted)) % 47.01/47.27 (define @t255 () (@var "V_P" $$unsorted)) % 47.01/47.27 (define @t256 () (tptp.hAPP @t43 (tptp.hAPP tptp.c_Com_Obody @t255))) % 47.01/47.27 (define @t257 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t255)) % 47.01/47.27 (define @t258 () (tptp.hAPP @t16 @t35)) % 47.01/47.27 (define @t259 () (tptp.hAPP (tptp.hAPP @t258 @t247) @t34)) % 47.01/47.27 (define @t260 () (@var "V_n_2" $$unsorted)) % 47.01/47.27 (define @t261 () (tptp.hAPP tptp.c_Nat_OSuc @t260)) % 47.01/47.27 (define @t262 () (tptp.hAPP (tptp.hAPP @t258 (tptp.hAPP @t43 (tptp.hAPP tptp.c_Com_Obody @t246))) @t34)) % 47.01/47.27 (define @t263 () (tptp.hAPP @t248 @t259)) % 47.01/47.27 (define @t264 () (tptp.hAPP @t2 @t48)) % 47.01/47.27 (define @t265 () (tptp.hAPP @t2 @t51)) % 47.01/47.27 (define @t266 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t71)) % 47.01/47.27 (define @t267 () (tptp.hAPP @t212 (tptp.hAPP (tptp.hAPP @t266 @t265) @t264))) % 47.01/47.27 (define @t268 () (tptp.c_Orderings_Oorder__class_Omono @t15 @t71 @t2)) % 47.01/47.27 (define @t269 () (tptp.class_Lattices_Osemilattice__sup @t71)) % 47.01/47.27 (define @t270 () (tptp.c_COMBB @t71 @t88 @t15)) % 47.01/47.27 (define @t271 () (tptp.c_COMBS @t15 @t71 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t272 () (tptp.c_Enum_Oenum__class_Oenum__all @t15)) % 47.01/47.27 (define @t273 () (tptp.class_Enum_Oenum @t15)) % 47.01/47.27 (define @t274 () (tptp.class_Orderings_Oorder @t71)) % 47.01/47.27 (define @t275 () (and @t274 @t273)) % 47.01/47.27 (define @t276 () (@var "V_a3_2" $$unsorted)) % 47.01/47.27 (define @t277 () (@var "V_a2_2" $$unsorted)) % 47.01/47.27 (define @t278 () (@var "V_a1_2" $$unsorted)) % 47.01/47.27 (define @t279 () (tptp.hAPP @t43 (tptp.hAPP tptp.c_Com_Obody @t278))) % 47.01/47.27 (define @t280 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t278)) % 47.01/47.27 (define @t281 () (@var "V_c_2" $$unsorted)) % 47.01/47.27 (define @t282 () (tptp.hAPP @t173 @t281)) % 47.01/47.27 (define @t283 () (tptp.hBOOL (tptp.hAPP @t282 @t48))) % 47.01/47.27 (define @t284 () (tptp.hBOOL (tptp.hAPP @t282 @t51))) % 47.01/47.27 (define @t285 () (not @t284)) % 47.01/47.27 (define @t286 () (=> @t285 @t283)) % 47.01/47.27 (define @t287 () (not @t283)) % 47.01/47.27 (define @t288 () (=> @t284 @t287)) % 47.01/47.27 (define @t289 () (tptp.c_Orderings_Obot__class_Obot @t54)) % 47.01/47.27 (define @t290 () (@var "V_a_2" $$unsorted)) % 47.01/47.27 (define @t291 () (tptp.hAPP @t173 @t290)) % 47.01/47.27 (define @t292 () (@list @t290 @t15)) % 47.01/47.27 (define @t293 () (tptp.hBOOL (tptp.hAPP @t291 @t51))) % 47.01/47.27 (define @t294 () (@var "V_b_2" $$unsorted)) % 47.01/47.27 (define @t295 () (= @t290 @t294)) % 47.01/47.27 (define @t296 () (not @t295)) % 47.01/47.27 (define @t297 () (tptp.c_Set_Oinsert @t15)) % 47.01/47.27 (define @t298 () (tptp.hAPP @t297 @t294)) % 47.01/47.27 (define @t299 () (tptp.hAPP @t298 @t51)) % 47.01/47.27 (define @t300 () (tptp.hBOOL (tptp.hAPP @t291 @t299))) % 47.01/47.27 (define @t301 () (@list @t51 @t294 @t290 @t15)) % 47.01/47.27 (define @t302 () (tptp.hAPP @t298 @t48)) % 47.01/47.27 (define @t303 () (tptp.hBOOL (tptp.hAPP @t291 @t302))) % 47.01/47.27 (define @t304 () (tptp.hBOOL (tptp.hAPP @t291 @t48))) % 47.01/47.27 (define @t305 () (not @t304)) % 47.01/47.27 (define @t306 () (@list @t294 @t48 @t290 @t15)) % 47.01/47.27 (define @t307 () (=> @t284 @t283)) % 47.01/47.27 (define @t308 () (@list @t281 @t48 @t51 @t15)) % 47.01/47.27 (define @t309 () (tptp.hAPP @t173 @t294)) % 47.01/47.27 (define @t310 () (tptp.hBOOL (tptp.hAPP @t309 @t87))) % 47.01/47.27 (define @t311 () (tptp.c_member @t71)) % 47.01/47.27 (define @t312 () (tptp.hAPP @t311 @t47)) % 47.01/47.27 (define @t313 () (tptp.hBOOL (tptp.hAPP @t312 @t51))) % 47.01/47.27 (define @t314 () (= @t294 @t69)) % 47.01/47.27 (define @t315 () (tptp.hBOOL (tptp.hAPP @t282 @t57))) % 47.01/47.27 (define @t316 () (@list @t48 @t51 @t281 @t15)) % 47.01/47.27 (define @t317 () (@list @t51 @t48 @t281 @t15)) % 47.01/47.27 (define @t318 () (tptp.hAPP @t297 @t290)) % 47.01/47.27 (define @t319 () (tptp.hAPP @t318 @t51)) % 47.01/47.27 (define @t320 () (@list @t51 @t290 @t15)) % 47.01/47.27 (define @t321 () (tptp.c_Orderings_Obot__class_Obot @t15)) % 47.01/47.27 (define @t322 () (@list @t47 @t71 @t15)) % 47.01/47.27 (define @t323 () (tptp.hAPP @t173 @t47)) % 47.01/47.27 (define @t324 () (@list @t47 @t15)) % 47.01/47.27 (define @t325 () (tptp.hAPP @t318 @t48)) % 47.01/47.27 (define @t326 () (@list @t48 @t290 @t15)) % 47.01/47.27 (define @t327 () (= @t51 @t289)) % 47.01/47.27 (define @t328 () (not @t176)) % 47.01/47.27 (define @t329 () (not @t327)) % 47.01/47.27 (define @t330 () (exists @t7 @t176)) % 47.01/47.27 (define @t331 () (tptp.hBOOL (tptp.hAPP @t323 @t51))) % 47.01/47.27 (define @t332 () (@list @t51 @t47 @t15)) % 47.01/47.27 (define @t333 () (tptp.hAPP tptp.c_fequal @t128)) % 47.01/47.27 (define @t334 () (= @t294 @t290)) % 47.01/47.27 (define @t335 () (tptp.hAPP @t318 @t289)) % 47.01/47.27 (define @t336 () (tptp.hBOOL (tptp.hAPP @t309 @t335))) % 47.01/47.27 (define @t337 () (@list @t290 @t294 @t15)) % 47.01/47.27 (define @t338 () (tptp.hAPP @t297 @t47)) % 47.01/47.27 (define @t339 () (tptp.hAPP @t338 @t51)) % 47.01/47.27 (define @t340 () (tptp.hAPP @t297 @t128)) % 47.01/47.27 (define @t341 () (tptp.hAPP @t340 @t51)) % 47.01/47.27 (define @t342 () (@list @t51 @t128 @t47 @t15)) % 47.01/47.27 (define @t343 () (or @t295 @t293)) % 47.01/47.27 (define @t344 () (= @t294 @t281)) % 47.01/47.27 (define @t345 () (@var "V_d_2" $$unsorted)) % 47.01/47.27 (define @t346 () (= @t294 @t345)) % 47.01/47.27 (define @t347 () (= @t290 @t281)) % 47.01/47.27 (define @t348 () (and @t347 @t346)) % 47.01/47.27 (define @t349 () (tptp.hAPP @t297 @t281)) % 47.01/47.27 (define @t350 () (tptp.hAPP @t298 @t289)) % 47.01/47.27 (define @t351 () (tptp.hAPP @t318 @t350)) % 47.01/47.27 (define @t352 () (@list @t345 @t281 @t294 @t290 @t15)) % 47.01/47.27 (define @t353 () (= @t128 @t47)) % 47.01/47.27 (define @t354 () (tptp.hAPP @t338 @t48)) % 47.01/47.27 (define @t355 () (tptp.hBOOL (tptp.hAPP @t323 @t48))) % 47.01/47.27 (define @t356 () (not @t355)) % 47.01/47.27 (define @t357 () (not @t331)) % 47.01/47.27 (define @t358 () (@list @t48 @t51 @t47 @t15)) % 47.01/47.27 (define @t359 () (not @t293)) % 47.01/47.27 (define @t360 () (tptp.hAPP @t173 @t128)) % 47.01/47.27 (define @t361 () (tptp.hBOOL (tptp.hAPP @t360 @t51))) % 47.01/47.27 (define @t362 () (tptp.hBOOL (tptp.hAPP @t309 @t51))) % 47.01/47.27 (define @t363 () (@list @t51 @t15 @t294 @t290)) % 47.01/47.27 (define @t364 () (@list @t294 @t290 @t15)) % 47.01/47.27 (define @t365 () (@var "V_t" $$unsorted)) % 47.01/47.27 (define @t366 () (@var "V_u" $$unsorted)) % 47.01/47.27 (define @t367 () (tptp.hAPP (tptp.c_Natural_Oevalc @t113) @t254)) % 47.01/47.27 (define @t368 () (tptp.hBOOL (tptp.hAPP @t367 @t365))) % 47.01/47.27 (define @t369 () (@var "V_n" $$unsorted)) % 47.01/47.27 (define @t370 () (tptp.hAPP tptp.c_Nat_OSuc @t369)) % 47.01/47.27 (define @t371 () (tptp.hBOOL (tptp.hAPP @t272 @t35))) % 47.01/47.27 (define @t372 () (@var "B_x1" $$unsorted)) % 47.01/47.27 (define @t373 () (tptp.hBOOL (tptp.hAPP @t35 @t372))) % 47.01/47.27 (define @t374 () (@list @t372)) % 47.01/47.27 (define @t375 () (forall @t374 @t373)) % 47.01/47.27 (define @t376 () (@list @t35 @t15)) % 47.01/47.27 (define @t377 () (tptp.c_Orderings_Obot__class_Obot @t88)) % 47.01/47.27 (define @t378 () (tptp.c_Set_Oinsert @t71)) % 47.01/47.27 (define @t379 () (tptp.c_COMBK @t71 @t15)) % 47.01/47.27 (define @t380 () (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 (tptp.hAPP @t379 @t281)) @t51)) % 47.01/47.27 (define @t381 () (= @t380 (tptp.hAPP (tptp.hAPP @t378 @t281) @t377))) % 47.01/47.27 (define @t382 () (tptp.hBOOL (tptp.hAPP @t65 @t354))) % 47.01/47.27 (define @t383 () (@list @t2 @t71 @t51 @t47 @t15)) % 47.01/47.27 (define @t384 () (tptp.hAPP @t338 @t289)) % 47.01/47.27 (define @t385 () (@list @t47 @t51 @t15)) % 47.01/47.27 (define @t386 () (@var "V_S_2" $$unsorted)) % 47.01/47.27 (define @t387 () (@var "V_R_2" $$unsorted)) % 47.01/47.27 (define @t388 () (= @t387 @t386)) % 47.01/47.27 (define @t389 () (tptp.hAPP (tptp.c_COMBC @t15 @t54 tptp.tc_HOL_Obool) @t173)) % 47.01/47.27 (define @t390 () (tptp.hAPP @t389 @t386)) % 47.01/47.27 (define @t391 () (tptp.hAPP @t389 @t387)) % 47.01/47.27 (define @t392 () (@list @t386 @t387 @t15)) % 47.01/47.27 (define @t393 () (@var "V_t_2" $$unsorted)) % 47.01/47.27 (define @t394 () (tptp.hAPP @t248 @t393)) % 47.01/47.27 (define @t395 () (@list @t281 @t71 @t15 @t51)) % 47.01/47.27 (define @t396 () (tptp.hAPP @t62 @t161)) % 47.01/47.27 (define @t397 () (tptp.hAPP @t2 @t290)) % 47.01/47.27 (define @t398 () (tptp.hAPP @t378 @t290)) % 47.01/47.27 (define @t399 () (tptp.hAPP @t398 @t48)) % 47.01/47.27 (define @t400 () (@list @t48 @t290 @t51 @t15)) % 47.01/47.27 (define @t401 () (tptp.hAPP @t311 @t3)) % 47.01/47.27 (define @t402 () (tptp.hBOOL (tptp.hAPP @t401 @t51))) % 47.01/47.27 (define @t403 () (tptp.hAPP @t173 @t202)) % 47.01/47.27 (define @t404 () (tptp.hAPP @t311 @t294)) % 47.01/47.27 (define @t405 () (= @t51 @t377)) % 47.01/47.27 (define @t406 () (@list @t51 @t2 @t71 @t15)) % 47.01/47.27 (define @t407 () (@list @t2 @t15 @t71)) % 47.01/47.27 (define @t408 () (@list @t51 @t2 @t15 @t71)) % 47.01/47.27 (define @t409 () (@list @t48 @t15)) % 47.01/47.27 (define @t410 () (= @t48 @t289)) % 47.01/47.27 (define @t411 () (tptp.hAPP @t2 @t128)) % 47.01/47.27 (define @t412 () (and @t274 @t136)) % 47.01/47.27 (define @t413 () (@list @t128 @t47 @t2 @t15 @t71)) % 47.01/47.27 (define @t414 () (@list @t47 @t386 @t387 @t15)) % 47.01/47.27 (define @t415 () (tptp.c_Orderings_Obot__class_Obot @t76)) % 47.01/47.27 (define @t416 () (tptp.class_Lattices_Obounded__lattice__bot @t76)) % 47.01/47.27 (define @t417 () (tptp.c_Orderings_Oorder__class_Omono @t54 @t88 @t2)) % 47.01/47.27 (define @t418 () (@list @t48 @t51 @t2 @t71 @t15)) % 47.01/47.27 (define @t419 () (tptp.c_Natural_Oevalc @t281)) % 47.01/47.27 (define @t420 () (tptp.hAPP @t220 @t386)) % 47.01/47.27 (define @t421 () (tptp.hAPP (tptp.c_COMBC @t71 @t88 tptp.tc_HOL_Obool) @t311)) % 47.01/47.27 (define @t422 () (@var "B_xa" $$unsorted)) % 47.01/47.27 (define @t423 () (tptp.hAPP @t130 @t3)) % 47.01/47.27 (define @t424 () (tptp.hBOOL (tptp.hAPP @t423 @t422))) % 47.01/47.27 (define @t425 () (tptp.hAPP @t173 @t422)) % 47.01/47.27 (define @t426 () (@list @t422)) % 47.01/47.27 (define @t427 () (tptp.hBOOL (tptp.hAPP @t174 @t386))) % 47.01/47.27 (define @t428 () (@list @t386 @t2 @t15 @t71)) % 47.01/47.27 (define @t429 () (@var "B_n" $$unsorted)) % 47.01/47.27 (define @t430 () (tptp.hAPP tptp.c_Nat_OSuc @t429)) % 47.01/47.27 (define @t431 () (tptp.hAPP @t2 @t429)) % 47.01/47.27 (define @t432 () (@list @t429)) % 47.01/47.27 (define @t433 () (@list @t2 @t15)) % 47.01/47.27 (define @t434 () (tptp.hAPP @t258 @t281)) % 47.01/47.27 (define @t435 () (tptp.hAPP @t434 @t34)) % 47.01/47.27 (define @t436 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 @t435) @t245))) % 47.01/47.27 (define @t437 () (@var "B_Z" $$unsorted)) % 47.01/47.27 (define @t438 () (tptp.hAPP @t34 @t437)) % 47.01/47.27 (define @t439 () (tptp.c_COMBK @t36 @t15)) % 47.01/47.27 (define @t440 () (@var "B_s" $$unsorted)) % 47.01/47.27 (define @t441 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t437) @t440))) % 47.01/47.27 (define @t442 () (@list @t437 @t440)) % 47.01/47.27 (define @t443 () (@var "V_Q_H_2" $$unsorted)) % 47.01/47.27 (define @t444 () (@var "V_P_H_2" $$unsorted)) % 47.01/47.27 (define @t445 () (@var "V_s2" $$unsorted)) % 47.01/47.27 (define @t446 () (@var "V_c1" $$unsorted)) % 47.01/47.27 (define @t447 () (@var "V_c0" $$unsorted)) % 47.01/47.27 (define @t448 () (tptp.c_Com_Ocom_OSemi @t447 @t446)) % 47.01/47.27 (define @t449 () (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP)) % 47.01/47.27 (define @t450 () (tptp.hAPP @t449 @t254)) % 47.01/47.27 (define @t451 () (= @t365 @t254)) % 47.01/47.27 (define @t452 () (@list @t365 @t254)) % 47.01/47.27 (define @t453 () (@var "V_com2_H_2" $$unsorted)) % 47.01/47.27 (define @t454 () (@var "V_com2_2" $$unsorted)) % 47.01/47.27 (define @t455 () (= @t454 @t453)) % 47.01/47.27 (define @t456 () (@var "V_com1_H_2" $$unsorted)) % 47.01/47.27 (define @t457 () (@var "V_com1_2" $$unsorted)) % 47.01/47.27 (define @t458 () (= @t457 @t456)) % 47.01/47.27 (define @t459 () (tptp.c_Com_Ocom_OSemi @t456 @t453)) % 47.01/47.27 (define @t460 () (tptp.c_Com_Ocom_OSemi @t457 @t454)) % 47.01/47.27 (define @t461 () (@var "V_com2_H" $$unsorted)) % 47.01/47.27 (define @t462 () (@var "V_com1_H" $$unsorted)) % 47.01/47.27 (define @t463 () (tptp.c_Com_Ocom_OSemi @t462 @t461)) % 47.01/47.27 (define @t464 () (@list @t461 @t462)) % 47.01/47.27 (define @t465 () (tptp.c_Orderings_Oord__class_OLeast @t15 @t35)) % 47.01/47.27 (define @t466 () (tptp.hBOOL (tptp.hAPP @t35 @t465))) % 47.01/47.27 (define @t467 () (exists @t374 @t373)) % 47.01/47.27 (define @t468 () (tptp.class_Orderings_Owellorder @t15)) % 47.01/47.27 (define @t469 () (@var "V_k_2" $$unsorted)) % 47.01/47.27 (define @t470 () (tptp.hBOOL (tptp.hAPP @t35 @t469))) % 47.01/47.27 (define @t471 () (@list @t469 @t35 @t15)) % 47.01/47.27 (define @t472 () (@var "V_a5_2" $$unsorted)) % 47.01/47.27 (define @t473 () (@var "B_s1" $$unsorted)) % 47.01/47.27 (define @t474 () (@var "V_a4_2" $$unsorted)) % 47.01/47.27 (define @t475 () (@list @t473)) % 47.01/47.27 (define @t476 () (@var "V_pname_H" $$unsorted)) % 47.01/47.27 (define @t477 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t476)) % 47.01/47.27 (define @t478 () (@var "V_com2" $$unsorted)) % 47.01/47.27 (define @t479 () (@var "V_com1" $$unsorted)) % 47.01/47.27 (define @t480 () (tptp.c_Com_Ocom_OSemi @t479 @t478)) % 47.01/47.27 (define @t481 () (@list @t112)) % 47.01/47.27 (define @t482 () (@list @t476)) % 47.01/47.27 (define @t483 () (@list @t369)) % 47.01/47.27 (define @t484 () (@var "V_nat_H_2" $$unsorted)) % 47.01/47.27 (define @t485 () (@var "V_nat_2" $$unsorted)) % 47.01/47.27 (define @t486 () (tptp.hAPP tptp.c_Nat_OSuc @t485)) % 47.01/47.27 (define @t487 () (@list @t95 @t75)) % 47.01/47.27 (define @t488 () (@var "V_m" $$unsorted)) % 47.01/47.27 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t490 () (tptp.hAPP @t489 @t488)) % 47.01/47.27 (define @t491 () (tptp.hBOOL (tptp.hAPP @t490 @t369))) % 47.01/47.27 (define @t492 () (tptp.hAPP tptp.c_Nat_OSuc @t488)) % 47.01/47.27 (define @t493 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t492) @t369))) % 47.01/47.27 (define @t494 () (@list @t369 @t488)) % 47.01/47.27 (define @t495 () (tptp.hBOOL (tptp.hAPP @t490 @t370))) % 47.01/47.27 (define @t496 () (@var "V_m_2" $$unsorted)) % 47.01/47.27 (define @t497 () (tptp.hAPP @t489 @t260)) % 47.01/47.27 (define @t498 () (tptp.hBOOL (tptp.hAPP @t497 @t496))) % 47.01/47.27 (define @t499 () (tptp.hAPP tptp.c_Nat_OSuc @t496)) % 47.01/47.27 (define @t500 () (tptp.hAPP @t489 @t261)) % 47.01/47.27 (define @t501 () (@list @t496 @t260)) % 47.01/47.27 (define @t502 () (tptp.hAPP @t489 @t496)) % 47.01/47.27 (define @t503 () (tptp.hBOOL (tptp.hAPP @t502 @t260))) % 47.01/47.27 (define @t504 () (tptp.hBOOL (tptp.hAPP @t502 @t261))) % 47.01/47.27 (define @t505 () (@list @t260 @t496)) % 47.01/47.27 (define @t506 () (tptp.hBOOL (tptp.hAPP @t500 @t496))) % 47.01/47.27 (define @t507 () (not @t503)) % 47.01/47.27 (define @t508 () (@var "V_X_2" $$unsorted)) % 47.01/47.27 (define @t509 () (tptp.tc_fun @t88 @t88)) % 47.01/47.27 (define @t510 () (tptp.c_COMBB @t88 @t509 @t15)) % 47.01/47.27 (define @t511 () (tptp.hAPP @t510 @t89)) % 47.01/47.27 (define @t512 () (tptp.c_COMBC @t15 @t88 @t88)) % 47.01/47.27 (define @t513 () (tptp.c_COMBC @t15 @t54 @t54)) % 47.01/47.27 (define @t514 () (tptp.hAPP (tptp.hAPP @t513 @t297) @t289)) % 47.01/47.27 (define @t515 () (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t15)) % 47.01/47.27 (define @t516 () (tptp.c_Com_Ocom_OWhile @t294 @t281)) % 47.01/47.27 (define @t517 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t518 () (tptp.tc_fun tptp.tc_Com_Ostate @t517)) % 47.01/47.27 (define @t519 () (@list @t281 @t294 @t35 @t19 @t15)) % 47.01/47.27 (define @t520 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t521 () (tptp.c_Set_OPow @t15)) % 47.01/47.27 (define @t522 () (tptp.hAPP @t521 @t48)) % 47.01/47.27 (define @t523 () (tptp.hAPP (tptp.c_Set_Oimage @t88 @t54 @t85) (tptp.hAPP (tptp.c_Set_OPow @t71) @t51))) % 47.01/47.27 (define @t524 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t15 @t71 @t2 @t1 @t51) @t290)) % 47.01/47.27 (define @t525 () (=> @t359 (= @t524 @t397))) % 47.01/47.27 (define @t526 () (tptp.hAPP @t1 @t290)) % 47.01/47.27 (define @t527 () (=> @t293 (= @t524 @t526))) % 47.01/47.27 (define @t528 () (@list @t1 @t2 @t71 @t51 @t290 @t15)) % 47.01/47.27 (define @t529 () (tptp.c_Groups_Ominus__class_Ominus @t54)) % 47.01/47.27 (define @t530 () (tptp.hAPP @t529 @t51)) % 47.01/47.27 (define @t531 () (tptp.hAPP @t530 @t384)) % 47.01/47.27 (define @t532 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t531) @t48))) % 47.01/47.27 (define @t533 () (@list @t48 @t47 @t51 @t15)) % 47.01/47.27 (define @t534 () (=> @t357 @t66)) % 47.01/47.27 (define @t535 () (not @t402)) % 47.01/47.27 (define @t536 () (= @t294 @t5)) % 47.01/47.27 (define @t537 () (tptp.hAPP @t530 @t48)) % 47.01/47.27 (define @t538 () (tptp.hBOOL (tptp.hAPP @t282 @t537))) % 47.01/47.27 (define @t539 () (tptp.hAPP @t489 @t520)) % 47.01/47.27 (define @t540 () (tptp.c_member @t54)) % 47.01/47.27 (define @t541 () (tptp.hAPP @t540 @t51)) % 47.01/47.27 (define @t542 () (tptp.hBOOL (tptp.hAPP @t541 @t522))) % 47.01/47.27 (define @t543 () (@var "V_s_2" $$unsorted)) % 47.01/47.27 (define @t544 () (tptp.hBOOL (tptp.hAPP @t294 @t543))) % 47.01/47.27 (define @t545 () (not @t544)) % 47.01/47.27 (define @t546 () (@var "V_s2_2" $$unsorted)) % 47.01/47.27 (define @t547 () (@var "V_s0_2" $$unsorted)) % 47.01/47.27 (define @t548 () (@var "V_s1_2" $$unsorted)) % 47.01/47.27 (define @t549 () (tptp.hBOOL (tptp.hAPP @t294 @t547))) % 47.01/47.27 (define @t550 () (tptp.c_Natural_Oevalc @t516)) % 47.01/47.27 (define @t551 () (tptp.c_Orderings_Obot__class_Obot @t243)) % 47.01/47.27 (define @t552 () (tptp.hAPP @t521 @t51)) % 47.01/47.27 (define @t553 () (tptp.hAPP @t489 @t369)) % 47.01/47.27 (define @t554 () (= @t260 @t520)) % 47.01/47.27 (define @t555 () (@list @t260)) % 47.01/47.27 (define @t556 () (tptp.hBOOL (tptp.hAPP @t553 @t488))) % 47.01/47.27 (define @t557 () (= @t488 @t369)) % 47.01/47.27 (define @t558 () (@var "V_k" $$unsorted)) % 47.01/47.27 (define @t559 () (@var "V_i" $$unsorted)) % 47.01/47.27 (define @t560 () (tptp.hAPP @t489 @t559)) % 47.01/47.27 (define @t561 () (@var "V_j" $$unsorted)) % 47.01/47.27 (define @t562 () (tptp.hAPP @t489 @t561)) % 47.01/47.27 (define @t563 () (tptp.hBOOL (tptp.hAPP @t560 @t561))) % 47.01/47.27 (define @t564 () (@list @t558 @t561 @t559)) % 47.01/47.27 (define @t565 () (tptp.c_Groups_Ominus__class_Ominus @t15)) % 47.01/47.27 (define @t566 () (tptp.hAPP @t529 @t537)) % 47.01/47.27 (define @t567 () (@var "V_fun_H_2" $$unsorted)) % 47.01/47.27 (define @t568 () (@var "V_fun_2" $$unsorted)) % 47.01/47.27 (define @t569 () (= @t568 @t567)) % 47.01/47.27 (define @t570 () (tptp.c_Com_Ocom_OWhile @t567 @t10)) % 47.01/47.27 (define @t571 () (tptp.c_Com_Ocom_OWhile @t568 @t11)) % 47.01/47.27 (define @t572 () (tptp.c_Com_Ocom_OWhile @t278 @t276)) % 47.01/47.27 (define @t573 () (tptp.c_Natural_Oevaln @t276 @t277 @t474 @t473)) % 47.01/47.27 (define @t574 () (tptp.hBOOL (tptp.hAPP @t278 @t277))) % 47.01/47.27 (define @t575 () (@var "V_a6_2" $$unsorted)) % 47.01/47.27 (define @t576 () (not @t574)) % 47.01/47.27 (define @t577 () (tptp.c_Natural_Oevaln @t113 @t254 @t369 @t365)) % 47.01/47.27 (define @t578 () (@var "B_f" $$unsorted)) % 47.01/47.27 (define @t579 () (@list @t578)) % 47.01/47.27 (define @t580 () (tptp.hAPP @t62 @t537)) % 47.01/47.27 (define @t581 () (tptp.hAPP @t529 @t161)) % 47.01/47.27 (define @t582 () (tptp.hAPP @t529 @t48)) % 47.01/47.27 (define @t583 () (@var "V_s_H" $$unsorted)) % 47.01/47.27 (define @t584 () (tptp.hAPP @t582 @t51)) % 47.01/47.27 (define @t585 () (tptp.hAPP @t56 @t584)) % 47.01/47.27 (define @t586 () (tptp.hAPP @t582 @t161)) % 47.01/47.27 (define @t587 () (tptp.hAPP @t530 @t161)) % 47.01/47.27 (define @t588 () (@list @t488)) % 47.01/47.27 (define @t589 () (@var "V_nat_H_1" $$unsorted)) % 47.01/47.27 (define @t590 () (@var "V_nat_H" $$unsorted)) % 47.01/47.27 (define @t591 () (@var "V_a1" $$unsorted)) % 47.01/47.27 (define @t592 () (@var "V_a2" $$unsorted)) % 47.01/47.27 (define @t593 () (tptp.c_Set_Oinsert @t54)) % 47.01/47.27 (define @t594 () (@list @t15)) % 47.01/47.27 (define @t595 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t243)) % 47.01/47.27 (define @t596 () (tptp.hAPP @t595 @t552)) % 47.01/47.27 (define @t597 () (tptp.c_Natural_Oevalc @t572)) % 47.01/47.27 (define @t598 () (tptp.hAPP @t597 @t473)) % 47.01/47.27 (define @t599 () (tptp.hAPP (tptp.c_Natural_Oevalc @t276) @t277)) % 47.01/47.27 (define @t600 () (tptp.hBOOL (tptp.hAPP @t599 @t473))) % 47.01/47.27 (define @t601 () (tptp.hAPP @t597 @t277)) % 47.01/47.27 (define @t602 () (@list @t10 @t567)) % 47.01/47.27 (define @t603 () (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t35)) % 47.01/47.27 (define @t604 () (tptp.hBOOL (tptp.hAPP @t35 @t520))) % 47.01/47.27 (define @t605 () (not @t604)) % 47.01/47.27 (define @t606 () (tptp.hAPP @t35 @t260)) % 47.01/47.27 (define @t607 () (tptp.hBOOL @t606)) % 47.01/47.27 (define @t608 () (@list @t260 @t35)) % 47.01/47.27 (define @t609 () (tptp.hAPP @t529 @t339)) % 47.01/47.27 (define @t610 () (tptp.hAPP @t609 @t48)) % 47.01/47.27 (define @t611 () (=> @t355 (= @t610 @t537))) % 47.01/47.27 (define @t612 () (@list @t51 @t48 @t47 @t15)) % 47.01/47.27 (define @t613 () (tptp.hAPP @t530 @t325)) % 47.01/47.27 (define @t614 () (tptp.hAPP @t530 @t335)) % 47.01/47.27 (define @t615 () (tptp.hAPP @t318 @t614)) % 47.01/47.27 (define @t616 () (tptp.c_Groups_Ominus__class_Ominus @t88)) % 47.01/47.27 (define @t617 () (tptp.hAPP @t616 @t51)) % 47.01/47.27 (define @t618 () (tptp.hAPP @t617 @t48)) % 47.01/47.27 (define @t619 () (@var "B_s_H" $$unsorted)) % 47.01/47.27 (define @t620 () (@list @t1 @t2 @t71 @t15)) % 47.01/47.27 (define @t621 () (tptp.hAPP @t540 @t47)) % 47.01/47.27 (define @t622 () (tptp.hAPP @t389 @t51)) % 47.01/47.27 (define @t623 () (@var "V_fa_2" $$unsorted)) % 47.01/47.27 (define @t624 () (tptp.c_Groups_Ozero__class_Ozero @t15)) % 47.01/47.27 (define @t625 () (tptp.hAPP (tptp.hAPP @t565 @t290) @t294)) % 47.01/47.27 (define @t626 () (tptp.hAPP @t130 @t290)) % 47.01/47.27 (define @t627 () (tptp.hBOOL (tptp.hAPP @t626 @t294))) % 47.01/47.27 (define @t628 () (tptp.class_Groups_Oordered__ab__group__add @t15)) % 47.01/47.27 (define @t629 () (tptp.c_HOL_OThe @t15 @t35)) % 47.01/47.27 (define @t630 () (tptp.c_Partial__Function_Oflat__lub @t15 @t294 @t51)) % 47.01/47.27 (define @t631 () (tptp.hBOOL (tptp.hAPP @t65 @t350))) % 47.01/47.27 (define @t632 () (@list @t294 @t51 @t15)) % 47.01/47.27 (define @t633 () (= @t625 @t624)) % 47.01/47.27 (define @t634 () (tptp.class_Groups_Ogroup__add @t15)) % 47.01/47.27 (define @t635 () (tptp.class_Groups_Oab__group__add @t15)) % 47.01/47.27 (define @t636 () (tptp.c_Groups_Ozero__class_Ozero @t76)) % 47.01/47.27 (define @t637 () (tptp.c_Groups_Ominus__class_Ominus @t76)) % 47.01/47.27 (define @t638 () (tptp.hAPP @t637 @t112)) % 47.01/47.27 (define @t639 () (tptp.class_Groups_Ogroup__add @t76)) % 47.01/47.27 (define @t640 () (tptp.hAPP @t130 @t281)) % 47.01/47.27 (define @t641 () (tptp.hBOOL (tptp.hAPP @t640 @t345))) % 47.01/47.27 (define @t642 () (= @t625 (tptp.hAPP (tptp.hAPP @t565 @t281) @t345))) % 47.01/47.27 (define @t643 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t644 () (tptp.hAPP @t643 @t369)) % 47.01/47.27 (define @t645 () (tptp.hAPP @t644 @t488)) % 47.01/47.27 (define @t646 () (tptp.hAPP @t643 @t488)) % 47.01/47.27 (define @t647 () (tptp.hAPP @t646 @t369)) % 47.01/47.27 (define @t648 () (= @t647 @t520)) % 47.01/47.27 (define @t649 () (tptp.hAPP @t643 @t492)) % 47.01/47.27 (define @t650 () (tptp.hAPP @t649 @t369)) % 47.01/47.27 (define @t651 () (@list @t558 @t369 @t488)) % 47.01/47.27 (define @t652 () (tptp.hAPP @t643 @t260)) % 47.01/47.27 (define @t653 () (tptp.hAPP @t652 @t469)) % 47.01/47.27 (define @t654 () (tptp.hAPP @t643 @t496)) % 47.01/47.27 (define @t655 () (tptp.hAPP @t654 @t469)) % 47.01/47.27 (define @t656 () (tptp.hAPP @t489 @t469)) % 47.01/47.27 (define @t657 () (tptp.hBOOL (tptp.hAPP @t656 @t260))) % 47.01/47.27 (define @t658 () (tptp.hBOOL (tptp.hAPP @t656 @t496))) % 47.01/47.27 (define @t659 () (@list @t260 @t496 @t469)) % 47.01/47.27 (define @t660 () (tptp.hAPP @t489 @t558)) % 47.01/47.27 (define @t661 () (tptp.hBOOL (tptp.hAPP @t660 @t369))) % 47.01/47.27 (define @t662 () (@list @t369 @t488 @t558)) % 47.01/47.27 (define @t663 () (= @t496 @t260)) % 47.01/47.27 (define @t664 () (tptp.hAPP @t644 @t559)) % 47.01/47.27 (define @t665 () (@list @t369 @t559)) % 47.01/47.27 (define @t666 () (@var "V_l" $$unsorted)) % 47.01/47.27 (define @t667 () (@list @t666 @t369 @t488)) % 47.01/47.27 (define @t668 () (tptp.hAPP @t643 @t666)) % 47.01/47.27 (define @t669 () (tptp.hAPP @t668 @t488)) % 47.01/47.27 (define @t670 () (tptp.hAPP @t668 @t369)) % 47.01/47.27 (define @t671 () (tptp.hAPP @t654 @t260)) % 47.01/47.27 (define @t672 () (@list @t488 @t369)) % 47.01/47.27 (define @t673 () (= @t47 @t624)) % 47.01/47.27 (define @t674 () (= @t281 @t345)) % 47.01/47.27 (define @t675 () (tptp.c_Fun_Ofun__upd @t15 @t71 @t2 @t47 @t128)) % 47.01/47.27 (define @t676 () (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t675) @t51)) % 47.01/47.27 (define @t677 () (tptp.hAPP tptp.c_fequal @t47)) % 47.01/47.27 (define @t678 () (tptp.c_COMBC @t15 @t15 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t679 () (tptp.hAPP @t678 tptp.c_fequal)) % 47.01/47.27 (define @t680 () (tptp.hAPP @t679 @t290)) % 47.01/47.27 (define @t681 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t499) @t260))) % 47.01/47.27 (define @t682 () (tptp.hAPP @t55 @t508)) % 47.01/47.27 (define @t683 () (tptp.hAPP @t682 @t51)) % 47.01/47.27 (define @t684 () (tptp.hAPP @t62 @t508)) % 47.01/47.27 (define @t685 () (tptp.hBOOL (tptp.hAPP @t291 @t508))) % 47.01/47.27 (define @t686 () (tptp.c_Orderings_Oorder__class_Omono @t54 @t54 @t2)) % 47.01/47.27 (define @t687 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t54 @t2)) % 47.01/47.27 (define @t688 () (= @t51 @t687)) % 47.01/47.27 (define @t689 () (@list @t508 @t290 @t2 @t15 @t51)) % 47.01/47.27 (define @t690 () (tptp.hBOOL (tptp.hAPP @t291 @t687))) % 47.01/47.27 (define @t691 () (tptp.hAPP @t2 (tptp.hAPP @t682 @t687))) % 47.01/47.27 (define @t692 () (@list @t508 @t290 @t2 @t15)) % 47.01/47.27 (define @t693 () (tptp.c_Orderings_Oord__class_Oless @t54)) % 47.01/47.27 (define @t694 () (tptp.hAPP @t693 @t51)) % 47.01/47.27 (define @t695 () (tptp.hBOOL (tptp.hAPP @t694 @t48))) % 47.01/47.27 (define @t696 () (tptp.hAPP @t69 @t128)) % 47.01/47.27 (define @t697 () (@list @t128 @t202 @t2 @t71 @t51 @t47 @t15)) % 47.01/47.27 (define @t698 () (tptp.hAPP @t130 @t508)) % 47.01/47.27 (define @t699 () (tptp.hAPP @t70 @t508)) % 47.01/47.27 (define @t700 () (tptp.c_Orderings_Oorder__class_Omono @t15 @t15 @t2)) % 47.01/47.27 (define @t701 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t15 @t2)) % 47.01/47.27 (define @t702 () (= @t51 @t701)) % 47.01/47.27 (define @t703 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t15)) % 47.01/47.27 (define @t704 () (tptp.hAPP @t699 @t701)) % 47.01/47.27 (define @t705 () (tptp.hAPP @t2 @t704)) % 47.01/47.27 (define @t706 () (tptp.hBOOL (tptp.hAPP @t698 @t705))) % 47.01/47.27 (define @t707 () (@list @t2 @t508 @t15)) % 47.01/47.27 (define @t708 () (@list @t47 @t2 @t71 @t15)) % 47.01/47.27 (define @t709 () (tptp.hAPP @t643 @t559)) % 47.01/47.27 (define @t710 () (tptp.hAPP @t709 @t561)) % 47.01/47.27 (define @t711 () (tptp.hAPP (tptp.hAPP @t643 @t710) @t558)) % 47.01/47.27 (define @t712 () (tptp.c_Orderings_Oord__class_Oless @t76)) % 47.01/47.27 (define @t713 () (tptp.hAPP @t712 @t75)) % 47.01/47.27 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t15)) % 47.01/47.27 (define @t715 () (tptp.hAPP @t714 @t128)) % 47.01/47.27 (define @t716 () (tptp.hBOOL (tptp.hAPP @t715 @t47))) % 47.01/47.27 (define @t717 () (tptp.hAPP @t714 @t47)) % 47.01/47.27 (define @t718 () (tptp.hBOOL (tptp.hAPP @t717 @t128))) % 47.01/47.27 (define @t719 () (not @t129)) % 47.01/47.27 (define @t720 () (tptp.class_Orderings_Olinorder @t15)) % 47.01/47.27 (define @t721 () (not @t718)) % 47.01/47.27 (define @t722 () (tptp.hAPP @t712 @t95)) % 47.01/47.27 (define @t723 () (tptp.hBOOL (tptp.hAPP @t722 @t75))) % 47.01/47.27 (define @t724 () (tptp.hBOOL (tptp.hAPP @t713 @t95))) % 47.01/47.27 (define @t725 () (= @t721 @t129)) % 47.01/47.27 (define @t726 () (not @t724)) % 47.01/47.27 (define @t727 () (not @t107)) % 47.01/47.27 (define @t728 () (=> @t727 (=> @t726 @t723))) % 47.01/47.27 (define @t729 () (tptp.hAPP @t712 @t116)) % 47.01/47.27 (define @t730 () (tptp.hBOOL (tptp.hAPP @t729 @t112))) % 47.01/47.27 (define @t731 () (tptp.hAPP @t712 @t112)) % 47.01/47.27 (define @t732 () (tptp.hBOOL (tptp.hAPP @t731 @t116))) % 47.01/47.27 (define @t733 () (@list @t112 @t116 @t76)) % 47.01/47.27 (define @t734 () (tptp.hBOOL (tptp.hAPP @t731 @t113))) % 47.01/47.27 (define @t735 () (tptp.hBOOL (tptp.hAPP @t729 @t113))) % 47.01/47.27 (define @t736 () (tptp.hAPP @t712 @t113)) % 47.01/47.27 (define @t737 () (tptp.hBOOL (tptp.hAPP @t736 @t112))) % 47.01/47.27 (define @t738 () (tptp.hBOOL (tptp.hAPP @t694 @t161))) % 47.01/47.27 (define @t739 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t693 @t48) @t161)) @t738)) % 47.01/47.27 (define @t740 () (tptp.hBOOL (tptp.hAPP @t713 @t101))) % 47.01/47.27 (define @t741 () (=> (tptp.hBOOL (tptp.hAPP @t722 @t101)) @t740)) % 47.01/47.27 (define @t742 () (tptp.hAPP @t712 @t101)) % 47.01/47.27 (define @t743 () (tptp.hBOOL (tptp.hAPP @t742 @t75))) % 47.01/47.27 (define @t744 () (=> (tptp.hBOOL (tptp.hAPP @t742 @t95)) @t743)) % 47.01/47.27 (define @t745 () (= @t69 @t128)) % 47.01/47.27 (define @t746 () (@list @t128 @t47 @t2 @t71 @t15)) % 47.01/47.27 (define @t747 () (@list @t202 @t128 @t47 @t2 @t71 @t15)) % 47.01/47.27 (define @t748 () (tptp.c_Fun_Ofun__upd @t71 @t15 @t2 @t47 @t128)) % 47.01/47.27 (define @t749 () (tptp.hAPP @t2 @t202)) % 47.01/47.27 (define @t750 () (tptp.hAPP @t675 @t202)) % 47.01/47.27 (define @t751 () (= @t202 @t47)) % 47.01/47.27 (define @t752 () (=> (not @t751) (= @t750 @t749))) % 47.01/47.27 (define @t753 () (@list @t128 @t2 @t71 @t15 @t47 @t202)) % 47.01/47.27 (define @t754 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t15 @t71 @t2 @t290 @t294) @t47)) % 47.01/47.27 (define @t755 () (= @t47 @t290)) % 47.01/47.27 (define @t756 () (@list @t202 @t2 @t71 @t15)) % 47.01/47.27 (define @t757 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t214) @t2) @t1))) % 47.01/47.27 (define @t758 () (not @t126)) % 47.01/47.27 (define @t759 () (tptp.hAPP @t714 @t281)) % 47.01/47.27 (define @t760 () (tptp.hBOOL (tptp.hAPP @t759 @t345))) % 47.01/47.27 (define @t761 () (tptp.hAPP @t714 @t290)) % 47.01/47.27 (define @t762 () (tptp.hBOOL (tptp.hAPP @t761 @t294))) % 47.01/47.27 (define @t763 () (tptp.hBOOL (tptp.hAPP @t713 @t151))) % 47.01/47.27 (define @t764 () (tptp.hBOOL (tptp.hAPP @t713 @t112))) % 47.01/47.27 (define @t765 () (tptp.hBOOL (tptp.hAPP @t713 @t116))) % 47.01/47.27 (define @t766 () (tptp.hBOOL (tptp.hAPP @t698 @t701))) % 47.01/47.27 (define @t767 () (tptp.hAPP @t2 @t508)) % 47.01/47.27 (define @t768 () (tptp.hAPP @t714 @t469)) % 47.01/47.27 (define @t769 () (@list @t2 @t51 @t15)) % 47.01/47.27 (define @t770 () (tptp.hAPP @t2 @t701)) % 47.01/47.27 (define @t771 () (@var "V_f2_2" $$unsorted)) % 47.01/47.27 (define @t772 () (@list @t771 @t81 @t15)) % 47.01/47.27 (define @t773 () (tptp.hAPP @t771 @t485)) % 47.01/47.27 (define @t774 () (@list @t485 @t771 @t81 @t15)) % 47.01/47.27 (define @t775 () (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t1) @t508)) % 47.01/47.27 (define @t776 () (tptp.tc_fun @t54 @t54)) % 47.01/47.27 (define @t777 () (tptp.hAPP (tptp.c_COMBB @t54 @t776 @t54) @t55)) % 47.01/47.27 (define @t778 () (tptp.c_COMBC @t54 @t54 @t54)) % 47.01/47.27 (define @t779 () (tptp.hAPP @t778 (tptp.hAPP @t777 (tptp.hAPP (tptp.hAPP @t778 (tptp.hAPP @t777 @t2)) @t508)))) % 47.01/47.27 (define @t780 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t54 (tptp.hAPP @t779 @t687))) % 47.01/47.27 (define @t781 () (tptp.hAPP @t2 @t780)) % 47.01/47.27 (define @t782 () (tptp.hBOOL (tptp.hAPP @t684 @t781))) % 47.01/47.27 (define @t783 () (@var "B_y" $$unsorted)) % 47.01/47.27 (define @t784 () (tptp.hAPP @t297 @t3)) % 47.01/47.27 (define @t785 () (tptp.hAPP @t784 @t289)) % 47.01/47.27 (define @t786 () (tptp.hAPP (tptp.hAPP @t276 @t278) @t472)) % 47.01/47.27 (define @t787 () (@list @t3 @t783)) % 47.01/47.27 (define @t788 () (= @t277 @t289)) % 47.01/47.27 (define @t789 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t790 () (tptp.hAPP (tptp.hAPP @t270 tptp.c_fequal) @t2)) % 47.01/47.27 (define @t791 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t15)) % 47.01/47.27 (define @t792 () (tptp.hAPP @t791 tptp.c_fNot)) % 47.01/47.27 (define @t793 () (tptp.c_Enum_Oenum__class_Oenum__ex @t15)) % 47.01/47.27 (define @t794 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t15 tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t795 () (tptp.hAPP @t794 @t2)) % 47.01/47.27 (define @t796 () (tptp.hAPP @t795 @t51)) % 47.01/47.27 (define @t797 () (tptp.hAPP @t795 @t614)) % 47.01/47.27 (define @t798 () (tptp.hAPP @t643 @t796)) % 47.01/47.27 (define @t799 () (tptp.hAPP @t311 @t397)) % 47.01/47.27 (define @t800 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t51)) % 47.01/47.27 (define @t801 () (@list @t51 @t290 @t2 @t71 @t15)) % 47.01/47.27 (define @t802 () (@var "B_k" $$unsorted)) % 47.01/47.27 (define @t803 () (tptp.hAPP tptp.c_Nat_OSuc @t802)) % 47.01/47.27 (define @t804 () (@list @t802)) % 47.01/47.27 (define @t805 () (tptp.c_COMBC @t15 @t71 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t806 () (tptp.hAPP @t805 @t790)) % 47.01/47.27 (define @t807 () (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t15)) % 47.01/47.27 (define @t808 () (tptp.hAPP @t807 tptp.c_fconj)) % 47.01/47.27 (define @t809 () (tptp.hAPP @t808 @t622)) % 47.01/47.27 (define @t810 () (tptp.c_COMBS @t15 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t811 () (tptp.hAPP @t810 @t809)) % 47.01/47.27 (define @t812 () (tptp.hAPP @t811 (tptp.hAPP @t806 @t47))) % 47.01/47.27 (define @t813 () (tptp.c_Fun_Othe__inv__into @t15 @t71 @t51 @t2)) % 47.01/47.27 (define @t814 () (tptp.hAPP @t813 @t47)) % 47.01/47.27 (define @t815 () (@list @t47 @t2 @t51 @t71 @t15)) % 47.01/47.27 (define @t816 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t817 () (tptp.hAPP @t816 @t369)) % 47.01/47.27 (define @t818 () (tptp.hAPP @t816 @t492)) % 47.01/47.27 (define @t819 () (tptp.hBOOL (tptp.hAPP @t818 @t370))) % 47.01/47.27 (define @t820 () (tptp.hAPP @t816 @t488)) % 47.01/47.27 (define @t821 () (tptp.hBOOL (tptp.hAPP @t820 @t369))) % 47.01/47.27 (define @t822 () (tptp.hAPP @t816 @t520)) % 47.01/47.27 (define @t823 () (@list @t2 @t71 @t15)) % 47.01/47.27 (define @t824 () (tptp.c_COMBC @t71 @t184 @t15)) % 47.01/47.27 (define @t825 () (tptp.hAPP @t824 @t2)) % 47.01/47.27 (define @t826 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t71 @t15)) % 47.01/47.27 (define @t827 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t184 @t15)) % 47.01/47.27 (define @t828 () (tptp.tc_fun @t184 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t829 () (tptp.tc_fun @t184 @t15)) % 47.01/47.27 (define @t830 () (tptp.c_COMBB @t829 (tptp.tc_fun @t828 @t15) @t71)) % 47.01/47.27 (define @t831 () (tptp.hAPP @t830 @t827)) % 47.01/47.27 (define @t832 () (tptp.c_COMBC @t71 @t828 @t15)) % 47.01/47.27 (define @t833 () (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP (tptp.hAPP @t832 (tptp.hAPP @t831 @t2)) @t48)) @t51)) % 47.01/47.27 (define @t834 () (tptp.class_Groups_Ocomm__monoid__add @t15)) % 47.01/47.27 (define @t835 () (@list @t51 @t48 @t2 @t184 @t71 @t15)) % 47.01/47.27 (define @t836 () (= @t3 @t422)) % 47.01/47.27 (define @t837 () (tptp.hAPP @t2 @t422)) % 47.01/47.27 (define @t838 () (tptp.hBOOL (tptp.hAPP @t425 @t51))) % 47.01/47.27 (define @t839 () (@list @t47 @t51 @t2 @t71 @t15)) % 47.01/47.27 (define @t840 () (tptp.hAPP @t813 @t128)) % 47.01/47.27 (define @t841 () (@list @t128 @t47 @t51 @t2 @t71 @t15)) % 47.01/47.27 (define @t842 () (tptp.hBOOL (tptp.hAPP @t793 @t35))) % 47.01/47.27 (define @t843 () (= @t69 @t411)) % 47.01/47.27 (define @t844 () (not @t843)) % 47.01/47.27 (define @t845 () (= @t843 @t129)) % 47.01/47.27 (define @t846 () (@var "V_N_2" $$unsorted)) % 47.01/47.27 (define @t847 () (@list @t846)) % 47.01/47.27 (define @t848 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t48)) % 47.01/47.27 (define @t849 () (@list @t51 @t48 @t2 @t71 @t15)) % 47.01/47.27 (define @t850 () (tptp.hAPP @t311 @t128)) % 47.01/47.27 (define @t851 () (tptp.hBOOL (tptp.hAPP @t850 @t222))) % 47.01/47.27 (define @t852 () (tptp.hBOOL (tptp.hAPP @t822 @t369))) % 47.01/47.27 (define @t853 () (= @t369 @t520)) % 47.01/47.27 (define @t854 () (not @t853)) % 47.01/47.27 (define @t855 () (tptp.hBOOL (tptp.hAPP @t822 @t260))) % 47.01/47.27 (define @t856 () (not @t554)) % 47.01/47.27 (define @t857 () (tptp.hAPP @t816 @t260)) % 47.01/47.27 (define @t858 () (tptp.hBOOL (tptp.hAPP @t857 @t499))) % 47.01/47.27 (define @t859 () (tptp.hAPP @t816 @t496)) % 47.01/47.27 (define @t860 () (tptp.hBOOL (tptp.hAPP @t859 @t260))) % 47.01/47.27 (define @t861 () (or @t860 @t663)) % 47.01/47.27 (define @t862 () (tptp.hBOOL (tptp.hAPP @t859 @t261))) % 47.01/47.27 (define @t863 () (= @t260 @t496)) % 47.01/47.27 (define @t864 () (= @t858 @t863)) % 47.01/47.27 (define @t865 () (tptp.hBOOL (tptp.hAPP @t857 @t496))) % 47.01/47.27 (define @t866 () (not @t865)) % 47.01/47.27 (define @t867 () (tptp.hBOOL (tptp.hAPP @t817 @t488))) % 47.01/47.27 (define @t868 () (tptp.hBOOL (tptp.hAPP @t820 @t370))) % 47.01/47.27 (define @t869 () (tptp.hBOOL (tptp.hAPP @t818 @t369))) % 47.01/47.27 (define @t870 () (tptp.hAPP tptp.c_Nat_OSuc @t559)) % 47.01/47.27 (define @t871 () (tptp.hAPP @t816 @t561)) % 47.01/47.27 (define @t872 () (tptp.hBOOL (tptp.hAPP @t871 @t558))) % 47.01/47.27 (define @t873 () (tptp.hAPP @t816 @t559)) % 47.01/47.27 (define @t874 () (tptp.hBOOL (tptp.hAPP @t873 @t561))) % 47.01/47.27 (define @t875 () (not @t821)) % 47.01/47.27 (define @t876 () (not @t557)) % 47.01/47.27 (define @t877 () (not @t663)) % 47.01/47.27 (define @t878 () (tptp.hAPP @t643 @t561)) % 47.01/47.27 (define @t879 () (tptp.c_COMBK @t15 @t71)) % 47.01/47.27 (define @t880 () (tptp.hAPP @t879 @t624)) % 47.01/47.27 (define @t881 () (@list @t51 @t71 @t15)) % 47.01/47.27 (define @t882 () (tptp.hAPP @t826 @t1)) % 47.01/47.27 (define @t883 () (tptp.hAPP @t882 @t51)) % 47.01/47.27 (define @t884 () (tptp.hAPP @t826 @t2)) % 47.01/47.27 (define @t885 () (tptp.hAPP @t884 @t51)) % 47.01/47.27 (define @t886 () (tptp.tc_fun @t15 @t15)) % 47.01/47.27 (define @t887 () (tptp.c_COMBB @t15 @t886 @t71)) % 47.01/47.27 (define @t888 () (tptp.c_COMBS @t71 @t15 @t15)) % 47.01/47.27 (define @t889 () (tptp.hAPP (tptp.hAPP @t888 (tptp.hAPP (tptp.hAPP @t887 @t565) @t2)) @t1)) % 47.01/47.27 (define @t890 () (@list @t51 @t1 @t2 @t71 @t15)) % 47.01/47.27 (define @t891 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t15 @t2)) % 47.01/47.27 (define @t892 () (tptp.hAPP @t130 @t891)) % 47.01/47.27 (define @t893 () (@list @t51 @t2 @t15)) % 47.01/47.27 (define @t894 () (tptp.hBOOL (tptp.hAPP @t312 @t222))) % 47.01/47.27 (define @t895 () (@list @t1 @t71 @t15)) % 47.01/47.27 (define @t896 () (= (= @t222 @t221) @t61)) % 47.01/47.27 (define @t897 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t57)) % 47.01/47.27 (define @t898 () (tptp.hAPP @t2 @t891)) % 47.01/47.27 (define @t899 () (@var "V_h_2" $$unsorted)) % 47.01/47.27 (define @t900 () (@var "B_j" $$unsorted)) % 47.01/47.27 (define @t901 () (tptp.hAPP @t816 @t900)) % 47.01/47.27 (define @t902 () (@list @t900)) % 47.01/47.27 (define @t903 () (= @t496 @t520)) % 47.01/47.27 (define @t904 () (tptp.hAPP tptp.c_Nat_OSuc @t520)) % 47.01/47.27 (define @t905 () (@var "B_m" $$unsorted)) % 47.01/47.27 (define @t906 () (= @t260 (tptp.hAPP tptp.c_Nat_OSuc @t905))) % 47.01/47.27 (define @t907 () (@list @t905)) % 47.01/47.27 (define @t908 () (tptp.hAPP @t816 @t647)) % 47.01/47.27 (define @t909 () (tptp.hBOOL (tptp.hAPP @t822 @t488))) % 47.01/47.27 (define @t910 () (tptp.hAPP @t652 @t496)) % 47.01/47.27 (define @t911 () (@list @t113 @t116 @t112)) % 47.01/47.27 (define @t912 () (tptp.hAPP @t220 @t537)) % 47.01/47.27 (define @t913 () (= @t912 (tptp.hAPP (tptp.hAPP @t616 @t222) @t221))) % 47.01/47.27 (define @t914 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t161)) % 47.01/47.27 (define @t915 () (@list @t48 @t51 @t161 @t2 @t71 @t15)) % 47.01/47.27 (define @t916 () (@var "V_A_H_2" $$unsorted)) % 47.01/47.27 (define @t917 () (@var "B_g" $$unsorted)) % 47.01/47.27 (define @t918 () (tptp.hAPP @t223 (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t578) @t51))) % 47.01/47.27 (define @t919 () (tptp.c_Fun_Oinj__on @t15 @t71 @t578 @t51)) % 47.01/47.27 (define @t920 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t15 @t71)) % 47.01/47.27 (define @t921 () (tptp.hAPP @t920 @t2)) % 47.01/47.27 (define @t922 () (tptp.hAPP @t921 @t51)) % 47.01/47.27 (define @t923 () (tptp.hAPP @t921 @t614)) % 47.01/47.27 (define @t924 () (tptp.c_Groups_Ominus__class_Ominus @t71)) % 47.01/47.27 (define @t925 () (tptp.hAPP @t924 @t922)) % 47.01/47.27 (define @t926 () (=> @t293 (= @t923 (tptp.hAPP @t925 @t397)))) % 47.01/47.27 (define @t927 () (tptp.c_Finite__Set_Ofinite @t15)) % 47.01/47.27 (define @t928 () (tptp.hBOOL (tptp.hAPP @t927 @t51))) % 47.01/47.27 (define @t929 () (tptp.class_Groups_Oab__group__add @t71)) % 47.01/47.27 (define @t930 () (@list @t2 @t290 @t51 @t15 @t71)) % 47.01/47.27 (define @t931 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t88)) % 47.01/47.27 (define @t932 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t15 @t184)) % 47.01/47.27 (define @t933 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t71 @t184)) % 47.01/47.27 (define @t934 () (tptp.hAPP @t933 @t899)) % 47.01/47.27 (define @t935 () (@var "B_a" $$unsorted)) % 47.01/47.27 (define @t936 () (tptp.hAPP @t173 @t935)) % 47.01/47.27 (define @t937 () (tptp.hBOOL (tptp.hAPP @t936 @t51))) % 47.01/47.27 (define @t938 () (@list @t935)) % 47.01/47.27 (define @t939 () (= @t48 @t222)) % 47.01/47.27 (define @t940 () (tptp.class_Groups_Ocomm__monoid__add @t184)) % 47.01/47.27 (define @t941 () (@list @t899 @t1 @t48 @t51 @t2 @t71 @t15 @t184)) % 47.01/47.27 (define @t942 () (tptp.hAPP @t795 @t48)) % 47.01/47.27 (define @t943 () (tptp.hBOOL (tptp.hAPP @t927 @t48))) % 47.01/47.27 (define @t944 () (tptp.hAPP @t921 @t48)) % 47.01/47.27 (define @t945 () (@list @t2 @t48 @t51 @t15 @t71)) % 47.01/47.27 (define @t946 () (@var "V_K_2" $$unsorted)) % 47.01/47.27 (define @t947 () (tptp.hAPP @t920 @t1)) % 47.01/47.27 (define @t948 () (@var "B_i" $$unsorted)) % 47.01/47.27 (define @t949 () (tptp.hAPP @t2 @t948)) % 47.01/47.27 (define @t950 () (tptp.hAPP @t212 @t949)) % 47.01/47.27 (define @t951 () (tptp.hAPP @t173 @t948)) % 47.01/47.27 (define @t952 () (@list @t948)) % 47.01/47.27 (define @t953 () (tptp.class_Groups_Oordered__ab__semigroup__add @t71)) % 47.01/47.27 (define @t954 () (tptp.class_Groups_Ocomm__monoid__add @t71)) % 47.01/47.27 (define @t955 () (and @t954 @t953)) % 47.01/47.27 (define @t956 () (tptp.hAPP @t387 @t128)) % 47.01/47.27 (define @t957 () (tptp.hBOOL (tptp.hAPP @t956 @t47))) % 47.01/47.27 (define @t958 () (tptp.hAPP @t387 @t47)) % 47.01/47.27 (define @t959 () (tptp.hBOOL (tptp.hAPP @t958 @t128))) % 47.01/47.27 (define @t960 () (@list @t128 @t47 @t387 @t15)) % 47.01/47.27 (define @t961 () (tptp.hBOOL (tptp.hAPP @t822 @t5))) % 47.01/47.27 (define @t962 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t54)) % 47.01/47.27 (define @t963 () (tptp.hAPP @t962 @t51)) % 47.01/47.27 (define @t964 () (tptp.hAPP @t963 @t48)) % 47.01/47.27 (define @t965 () (tptp.hBOOL (tptp.hAPP @t964 @t47))) % 47.01/47.27 (define @t966 () (tptp.hBOOL (tptp.hAPP @t282 @t964))) % 47.01/47.27 (define @t967 () (tptp.hAPP @t816 @t75)) % 47.01/47.27 (define @t968 () (tptp.hBOOL (tptp.hAPP @t967 @t95))) % 47.01/47.27 (define @t969 () (tptp.hBOOL (tptp.hAPP @t606 @t496))) % 47.01/47.27 (define @t970 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t76)) % 47.01/47.27 (define @t971 () (tptp.hAPP @t970 @t112)) % 47.01/47.27 (define @t972 () (tptp.class_Lattices_Osemilattice__inf @t76)) % 47.01/47.27 (define @t973 () (tptp.hAPP @t970 @t75)) % 47.01/47.27 (define @t974 () (= (tptp.hAPP @t973 @t75) @t75)) % 47.01/47.27 (define @t975 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t15)) % 47.01/47.27 (define @t976 () (tptp.hAPP @t962 @t48)) % 47.01/47.27 (define @t977 () (tptp.hAPP @t976 @t51)) % 47.01/47.27 (define @t978 () (tptp.hAPP @t970 @t116)) % 47.01/47.27 (define @t979 () (tptp.hAPP @t971 @t116)) % 47.01/47.27 (define @t980 () (tptp.hAPP @t970 @t95)) % 47.01/47.27 (define @t981 () (tptp.hAPP @t980 @t75)) % 47.01/47.27 (define @t982 () (tptp.hAPP @t973 @t95)) % 47.01/47.27 (define @t983 () (= @t982 @t981)) % 47.01/47.27 (define @t984 () (= (tptp.hAPP @t973 @t982) @t982)) % 47.01/47.27 (define @t985 () (tptp.hAPP @t963 @t161)) % 47.01/47.27 (define @t986 () (tptp.hAPP @t976 @t161)) % 47.01/47.27 (define @t987 () (tptp.hAPP @t963 @t986)) % 47.01/47.27 (define @t988 () (tptp.hAPP @t971 (tptp.hAPP @t978 @t113))) % 47.01/47.27 (define @t989 () (tptp.hAPP @t973 @t101)) % 47.01/47.27 (define @t990 () (tptp.hAPP @t980 @t101)) % 47.01/47.27 (define @t991 () (tptp.hAPP @t973 @t990)) % 47.01/47.27 (define @t992 () (= @t991 (tptp.hAPP @t980 @t989))) % 47.01/47.27 (define @t993 () (= (tptp.hAPP (tptp.hAPP @t970 @t982) @t101) @t991)) % 47.01/47.27 (define @t994 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t243)) % 47.01/47.27 (define @t995 () (tptp.hAPP @t77 @t982)) % 47.01/47.27 (define @t996 () (tptp.hBOOL (tptp.hAPP @t995 @t75))) % 47.01/47.27 (define @t997 () (tptp.hBOOL (tptp.hAPP @t995 @t95))) % 47.01/47.27 (define @t998 () (tptp.hAPP @t975 @t47)) % 47.01/47.27 (define @t999 () (tptp.hAPP @t998 @t128)) % 47.01/47.27 (define @t1000 () (tptp.class_Lattices_Osemilattice__inf @t15)) % 47.01/47.27 (define @t1001 () (and @t132 @t204)) % 47.01/47.27 (define @t1002 () (tptp.hAPP @t77 @t979)) % 47.01/47.27 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t1002 @t75))) % 47.01/47.27 (define @t1004 () (@list @t112 @t75 @t116 @t76)) % 47.01/47.27 (define @t1005 () (tptp.hBOOL (tptp.hAPP @t78 @t979))) % 47.01/47.27 (define @t1006 () (not (=> @t200 (not @t198)))) % 47.01/47.27 (define @t1007 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t979) @t75))) % 47.01/47.27 (define @t1008 () (tptp.hBOOL (tptp.hAPP @t731 @t75))) % 47.01/47.27 (define @t1009 () (tptp.hBOOL (tptp.hAPP @t729 @t75))) % 47.01/47.27 (define @t1010 () (tptp.hAPP (tptp.hAPP @t139 @t982) @t989)) % 47.01/47.27 (define @t1011 () (tptp.hAPP @t973 @t141)) % 47.01/47.27 (define @t1012 () (tptp.class_Lattices_Odistrib__lattice @t76)) % 47.01/47.27 (define @t1013 () (tptp.hAPP (tptp.hAPP @t970 @t144) @t152)) % 47.01/47.27 (define @t1014 () (tptp.hAPP @t142 @t990)) % 47.01/47.27 (define @t1015 () (@list @t75 @t101 @t95 @t76)) % 47.01/47.27 (define @t1016 () (not @t836)) % 47.01/47.27 (define @t1017 () (= @t964 @t289)) % 47.01/47.27 (define @t1018 () (tptp.hAPP @t318 @t964)) % 47.01/47.27 (define @t1019 () (@list @t48 @t51 @t290 @t15)) % 47.01/47.27 (define @t1020 () (tptp.hAPP @t62 @t964)) % 47.01/47.27 (define @t1021 () (tptp.hBOOL (tptp.hAPP @t396 @t51))) % 47.01/47.27 (define @t1022 () (@list @t48 @t51 @t161 @t15)) % 47.01/47.27 (define @t1023 () (tptp.hAPP @t962 @t161)) % 47.01/47.27 (define @t1024 () (tptp.hAPP @t55 @t964)) % 47.01/47.27 (define @t1025 () (tptp.hAPP @t963 @t180)) % 47.01/47.27 (define @t1026 () (tptp.hAPP @t962 @t57)) % 47.01/47.27 (define @t1027 () (tptp.hAPP @t1023 @t51)) % 47.01/47.27 (define @t1028 () (@list @t51 @t161 @t48 @t15)) % 47.01/47.27 (define @t1029 () (tptp.hAPP @t231 @t51)) % 47.01/47.27 (define @t1030 () (tptp.hAPP @t529 @t985)) % 47.01/47.27 (define @t1031 () (tptp.hAPP @t1030 @t986)) % 47.01/47.27 (define @t1032 () (tptp.hAPP @t962 @t537)) % 47.01/47.27 (define @t1033 () (tptp.c_Groups_Ozero__class_Ozero @t71)) % 47.01/47.27 (define @t1034 () (tptp.hAPP @t389 @t48)) % 47.01/47.27 (define @t1035 () (tptp.tc_fun @t71 @t71)) % 47.01/47.27 (define @t1036 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t71 @t1035) @t15) (tptp.c_If @t71))) % 47.01/47.27 (define @t1037 () (tptp.c_COMBS @t15 @t71 @t1035)) % 47.01/47.27 (define @t1038 () (tptp.c_COMBC @t15 @t71 @t71)) % 47.01/47.27 (define @t1039 () (tptp.hAPP (tptp.hAPP @t920 (tptp.hAPP (tptp.hAPP @t1038 (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1036 @t1034)) @t2)) @t1033)) @t51)) % 47.01/47.27 (define @t1040 () (tptp.hAPP @t921 @t964)) % 47.01/47.27 (define @t1041 () (@list @t48 @t2 @t51 @t15 @t71)) % 47.01/47.27 (define @t1042 () (tptp.hAPP @t963 @t325)) % 47.01/47.27 (define @t1043 () (=> @t359 (= @t1042 @t964))) % 47.01/47.27 (define @t1044 () (=> @t293 (= @t1042 @t1018))) % 47.01/47.27 (define @t1045 () (tptp.hAPP (tptp.hAPP @t962 @t325) @t161)) % 47.01/47.27 (define @t1046 () (tptp.hBOOL (tptp.hAPP @t291 @t161))) % 47.01/47.27 (define @t1047 () (=> (not @t1046) (= @t1045 @t986))) % 47.01/47.27 (define @t1048 () (=> @t1046 (= @t1045 (tptp.hAPP @t318 @t986)))) % 47.01/47.27 (define @t1049 () (@list @t48 @t161 @t290 @t15)) % 47.01/47.27 (define @t1050 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t71)) % 47.01/47.27 (define @t1051 () (tptp.hAPP (tptp.hAPP @t1050 @t265) @t264)) % 47.01/47.27 (define @t1052 () (tptp.hAPP @t975 @t51)) % 47.01/47.27 (define @t1053 () (tptp.class_Lattices_Osemilattice__inf @t71)) % 47.01/47.27 (define @t1054 () (tptp.hAPP @t931 @t51)) % 47.01/47.27 (define @t1055 () (tptp.hAPP @t1054 @t48)) % 47.01/47.27 (define @t1056 () (tptp.hAPP @t55 @t537)) % 47.01/47.27 (define @t1057 () (tptp.hAPP @t947 @t51)) % 47.01/47.27 (define @t1058 () (not @t928)) % 47.01/47.27 (define @t1059 () (=> @t1058 (= @t1057 @t1033))) % 47.01/47.27 (define @t1060 () (@list @t1 @t51 @t15 @t71)) % 47.01/47.27 (define @t1061 () (@list @t2 @t51 @t15 @t71)) % 47.01/47.27 (define @t1062 () (@var "V_F_2" $$unsorted)) % 47.01/47.27 (define @t1063 () (tptp.hBOOL (tptp.hAPP @t174 @t1062))) % 47.01/47.27 (define @t1064 () (tptp.hBOOL (tptp.hAPP @t927 @t1062))) % 47.01/47.27 (define @t1065 () (@list @t2 @t1062 @t15)) % 47.01/47.27 (define @t1066 () (= (tptp.hAPP @t220 @t964) (tptp.hAPP (tptp.hAPP @t931 @t222) @t221))) % 47.01/47.27 (define @t1067 () (forall @t426 (=> @t838 (=> @t1016 (= @t837 @t520))))) % 47.01/47.27 (define @t1068 () (tptp.hAPP @t1038 (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1036 @t680)) @t294))) % 47.01/47.27 (define @t1069 () (tptp.hAPP (tptp.hAPP @t920 (tptp.hAPP @t1068 @t1033)) @t386)) % 47.01/47.27 (define @t1070 () (tptp.hBOOL (tptp.hAPP @t291 @t386))) % 47.01/47.27 (define @t1071 () (not @t1070)) % 47.01/47.27 (define @t1072 () (tptp.hAPP @t294 @t290)) % 47.01/47.27 (define @t1073 () (tptp.hBOOL (tptp.hAPP @t927 @t386))) % 47.01/47.27 (define @t1074 () (@list @t294 @t290 @t386 @t15 @t71)) % 47.01/47.27 (define @t1075 () (tptp.hAPP tptp.c_fequal @t290)) % 47.01/47.27 (define @t1076 () (tptp.hAPP @t1038 (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1036 @t1075)) @t294))) % 47.01/47.27 (define @t1077 () (tptp.hAPP (tptp.hAPP @t920 (tptp.hAPP @t1076 @t1033)) @t386)) % 47.01/47.27 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t927 @t537))) % 47.01/47.27 (define @t1079 () (tptp.hBOOL (tptp.hAPP @t927 @t19))) % 47.01/47.27 (define @t1080 () (@list @t19 @t1062 @t15)) % 47.01/47.27 (define @t1081 () (tptp.c_Set_Oimage @t15 @t71 @t899)) % 47.01/47.27 (define @t1082 () (tptp.c_Finite__Set_Ofinite @t71)) % 47.01/47.27 (define @t1083 () (@list @t899 @t71 @t1062 @t15)) % 47.01/47.27 (define @t1084 () (tptp.hBOOL (tptp.hAPP @t927 @t319))) % 47.01/47.27 (define @t1085 () (@list @t290 @t51 @t15)) % 47.01/47.27 (define @t1086 () (tptp.c_Fun_Oinj__on @t15 @t15 @t2 @t51)) % 47.01/47.27 (define @t1087 () (tptp.c_Set_Oimage @t15 @t15 @t2)) % 47.01/47.27 (define @t1088 () (tptp.hAPP @t1087 @t51)) % 47.01/47.27 (define @t1089 () (tptp.hBOOL (tptp.hAPP @t1082 @t51))) % 47.01/47.27 (define @t1090 () (tptp.c_Fun_Oinj__on @t71 @t15 @t2 @t51)) % 47.01/47.27 (define @t1091 () (tptp.class_Finite__Set_Ofinite @t15)) % 47.01/47.27 (define @t1092 () (tptp.hBOOL (tptp.hAPP @t927 (tptp.hAPP (tptp.hAPP @t55 @t1062) @t19)))) % 47.01/47.27 (define @t1093 () (tptp.c_Finite__Set_Ofinite @t54)) % 47.01/47.27 (define @t1094 () (tptp.hBOOL (tptp.hAPP @t1082 @t48))) % 47.01/47.27 (define @t1095 () (tptp.hAPP @t223 @t48)) % 47.01/47.27 (define @t1096 () (tptp.hBOOL (tptp.hAPP @t1095 @t222))) % 47.01/47.27 (define @t1097 () (tptp.hAPP @t1062 @t531)) % 47.01/47.27 (define @t1098 () (tptp.hAPP @t69 @t1097)) % 47.01/47.27 (define @t1099 () (tptp.hAPP @t1062 @t51)) % 47.01/47.27 (define @t1100 () (= @t531 @t289)) % 47.01/47.27 (define @t1101 () (not @t1100)) % 47.01/47.27 (define @t1102 () (tptp.c_Finite__Set_Ofolding__one @t15 @t2 @t1062)) % 47.01/47.27 (define @t1103 () (@list @t47 @t51 @t1062 @t2 @t15)) % 47.01/47.27 (define @t1104 () (tptp.hAPP @t378 @t47)) % 47.01/47.27 (define @t1105 () (tptp.hAPP @t2 @t68)) % 47.01/47.27 (define @t1106 () (tptp.hAPP @t1105 (tptp.hAPP @t1062 (tptp.hAPP @t617 (tptp.hAPP @t1104 @t377))))) % 47.01/47.27 (define @t1107 () (tptp.c_Finite__Set_Ofolding__image__simple @t15 @t71 @t2 @t202 @t1 @t1062)) % 47.01/47.27 (define @t1108 () (@list @t47 @t51 @t1062 @t1 @t202 @t2 @t71 @t15)) % 47.01/47.27 (define @t1109 () (tptp.hAPP @t212 @t922)) % 47.01/47.27 (define @t1110 () (tptp.hBOOL (tptp.hAPP @t1109 @t944))) % 47.01/47.27 (define @t1111 () (@var "B_b" $$unsorted)) % 47.01/47.27 (define @t1112 () (tptp.hAPP @t212 @t1033)) % 47.01/47.27 (define @t1113 () (tptp.hAPP @t173 @t1111)) % 47.01/47.27 (define @t1114 () (@list @t1111)) % 47.01/47.27 (define @t1115 () (@list @t2 @t51 @t48 @t15 @t71)) % 47.01/47.27 (define @t1116 () (tptp.hBOOL (tptp.hAPP @t1112 @t5))) % 47.01/47.27 (define @t1117 () (tptp.hAPP @t1062 @t48)) % 47.01/47.27 (define @t1118 () (tptp.hAPP (tptp.hAPP @t2 @t1099) @t1117)) % 47.01/47.27 (define @t1119 () (tptp.hAPP @t1062 @t964)) % 47.01/47.27 (define @t1120 () (tptp.hAPP @t1062 @t57)) % 47.01/47.27 (define @t1121 () (not @t1017)) % 47.01/47.27 (define @t1122 () (@list @t48 @t51 @t1062 @t2 @t15)) % 47.01/47.27 (define @t1123 () (= @t1120 @t1118)) % 47.01/47.27 (define @t1124 () (not @t410)) % 47.01/47.27 (define @t1125 () (tptp.hAPP @t1062 @t91)) % 47.01/47.27 (define @t1126 () (= @t1125 @t1118)) % 47.01/47.27 (define @t1127 () (@list @t48 @t51 @t1062 @t1 @t202 @t2 @t71 @t15)) % 47.01/47.27 (define @t1128 () (tptp.hAPP @t1062 @t339)) % 47.01/47.27 (define @t1129 () (tptp.hAPP @t1062 (tptp.hAPP @t1104 @t51))) % 47.01/47.27 (define @t1130 () (@list @t47 @t1062 @t2 @t15)) % 47.01/47.27 (define @t1131 () (tptp.hAPP @t1105 @t1099)) % 47.01/47.27 (define @t1132 () (= @t1129 @t1131)) % 47.01/47.27 (define @t1133 () (tptp.hAPP @t69 @t1099)) % 47.01/47.27 (define @t1134 () (=> @t329 (= @t1128 @t1133))) % 47.01/47.27 (define @t1135 () (tptp.hAPP @t489 @t75)) % 47.01/47.27 (define @t1136 () (tptp.hBOOL (tptp.hAPP @t1135 @t95))) % 47.01/47.27 (define @t1137 () (tptp.hAPP @t998 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t531))) % 47.01/47.27 (define @t1138 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t51)) % 47.01/47.27 (define @t1139 () (tptp.hAPP @t206 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t531))) % 47.01/47.27 (define @t1140 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t51)) % 47.01/47.27 (define @t1141 () (tptp.hAPP @t784 (tptp.hAPP (tptp.hAPP @t297 @t783) @t289))) % 47.01/47.27 (define @t1142 () (tptp.hAPP @t5 @t783)) % 47.01/47.27 (define @t1143 () (@list @t51 @t1062 @t2 @t15)) % 47.01/47.27 (define @t1144 () (@var "V_i_2" $$unsorted)) % 47.01/47.27 (define @t1145 () (tptp.hAPP @t2 @t1144)) % 47.01/47.27 (define @t1146 () (tptp.hAPP @t173 @t1144)) % 47.01/47.27 (define @t1147 () (tptp.hBOOL (tptp.hAPP @t1146 @t543))) % 47.01/47.27 (define @t1148 () (tptp.hAPP @t921 @t543)) % 47.01/47.27 (define @t1149 () (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t951 @t543)) (tptp.hBOOL (tptp.hAPP @t1112 @t949))))) % 47.01/47.27 (define @t1150 () (tptp.hBOOL (tptp.hAPP @t927 @t543))) % 47.01/47.27 (define @t1151 () (tptp.class_Groups_Oordered__ab__group__add @t71)) % 47.01/47.27 (define @t1152 () (tptp.hAPP @t921 @t386)) % 47.01/47.27 (define @t1153 () (@var "V_T_2" $$unsorted)) % 47.01/47.27 (define @t1154 () (tptp.hAPP @t921 @t1153)) % 47.01/47.27 (define @t1155 () (= @t5 @t1033)) % 47.01/47.27 (define @t1156 () (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP (tptp.hAPP @t529 @t1153) @t386)))) % 47.01/47.27 (define @t1157 () (forall @t7 (=> @t1156 @t1155))) % 47.01/47.27 (define @t1158 () (tptp.hAPP @t62 @t386)) % 47.01/47.27 (define @t1159 () (tptp.hBOOL (tptp.hAPP @t1158 @t1153))) % 47.01/47.27 (define @t1160 () (tptp.hBOOL (tptp.hAPP @t927 @t1153))) % 47.01/47.27 (define @t1161 () (@list @t2 @t386 @t1153 @t15 @t71)) % 47.01/47.27 (define @t1162 () (tptp.hBOOL (tptp.hAPP @t35 @t289))) % 47.01/47.27 (define @t1163 () (tptp.hAPP @t297 @t935)) % 47.01/47.27 (define @t1164 () (@var "B_A" $$unsorted)) % 47.01/47.27 (define @t1165 () (tptp.hBOOL (tptp.hAPP @t936 @t1164))) % 47.01/47.27 (define @t1166 () (@list @t935 @t1164)) % 47.01/47.27 (define @t1167 () (tptp.hAPP @t206 @t1140)) % 47.01/47.27 (define @t1168 () (tptp.hAPP @t70 @t290)) % 47.01/47.27 (define @t1169 () (tptp.hAPP @t998 @t1138)) % 47.01/47.27 (define @t1170 () (tptp.hAPP @t975 @t290)) % 47.01/47.27 (define @t1171 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t339)) % 47.01/47.27 (define @t1172 () (=> @t329 (= @t1171 @t1167))) % 47.01/47.27 (define @t1173 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t339)) % 47.01/47.27 (define @t1174 () (=> @t329 (= @t1173 @t1169))) % 47.01/47.27 (define @t1175 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t48)) % 47.01/47.27 (define @t1176 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t48)) % 47.01/47.27 (define @t1177 () (tptp.hAPP (tptp.hAPP @t70 @t1140) @t1175)) % 47.01/47.27 (define @t1178 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t57)) % 47.01/47.27 (define @t1179 () (= @t1178 @t1177)) % 47.01/47.27 (define @t1180 () (tptp.hAPP (tptp.hAPP @t975 @t1138) @t1176)) % 47.01/47.27 (define @t1181 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t57)) % 47.01/47.27 (define @t1182 () (= @t1181 @t1180)) % 47.01/47.27 (define @t1183 () (tptp.hAPP (tptp.hAPP @t975 @t3) @t783)) % 47.01/47.27 (define @t1184 () (tptp.hAPP (tptp.hAPP @t70 @t3) @t783)) % 47.01/47.27 (define @t1185 () (tptp.c_Set_Oimage @t15 @t15 @t899)) % 47.01/47.27 (define @t1186 () (tptp.hAPP @t1185 @t846)) % 47.01/47.27 (define @t1187 () (not (= @t846 @t289))) % 47.01/47.27 (define @t1188 () (tptp.hBOOL (tptp.hAPP @t927 @t846))) % 47.01/47.27 (define @t1189 () (tptp.hAPP @t899 @t783)) % 47.01/47.27 (define @t1190 () (tptp.hAPP @t899 @t3)) % 47.01/47.27 (define @t1191 () (@list @t846 @t899 @t15)) % 47.01/47.27 (define @t1192 () (tptp.c_Finite__Set_Ofolding__one__idem @t15 @t2 @t1062)) % 47.01/47.27 (define @t1193 () (tptp.hBOOL (tptp.hAPP @t35 @t1062))) % 47.01/47.27 (define @t1194 () (@var "B_F" $$unsorted)) % 47.01/47.27 (define @t1195 () (tptp.hBOOL (tptp.hAPP @t35 @t1194))) % 47.01/47.27 (define @t1196 () (tptp.hBOOL (tptp.hAPP @t927 @t1194))) % 47.01/47.27 (define @t1197 () (= (tptp.hAPP (tptp.hAPP @t2 @t1117) @t1099) @t1099)) % 47.01/47.27 (define @t1198 () (tptp.c_Orderings_Oord__class_Oless @t71)) % 47.01/47.27 (define @t1199 () (@list @t1 @t2 @t51 @t15 @t71)) % 47.01/47.27 (define @t1200 () (= (tptp.hAPP @t69 @t47) @t47)) % 47.01/47.27 (define @t1201 () (tptp.c_Groups_Oplus__class_Oplus @t71)) % 47.01/47.27 (define @t1202 () (tptp.hAPP @t1201 @t68)) % 47.01/47.27 (define @t1203 () (tptp.hAPP @t1202 (tptp.hAPP @t947 @t531))) % 47.01/47.27 (define @t1204 () (@list @t1 @t47 @t51 @t15 @t71)) % 47.01/47.27 (define @t1205 () (tptp.hAPP @t1201 @t397)) % 47.01/47.27 (define @t1206 () (@list @t2 @t71 @t51 @t15)) % 47.01/47.27 (define @t1207 () (tptp.c_Finite__Set_Ocard @t15)) % 47.01/47.27 (define @t1208 () (tptp.hAPP @t1207 @t51)) % 47.01/47.27 (define @t1209 () (tptp.hAPP @t340 @t289)) % 47.01/47.27 (define @t1210 () (tptp.hAPP @t1207 @t531)) % 47.01/47.27 (define @t1211 () (tptp.hAPP tptp.c_Nat_OSuc @t1210)) % 47.01/47.27 (define @t1212 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t776 @t15) (tptp.hAPP @t778 @t529)) @t514)) % 47.01/47.27 (define @t1213 () (tptp.c_Groups_Oplus__class_Oplus @t76)) % 47.01/47.27 (define @t1214 () (tptp.hAPP @t1213 @t113)) % 47.01/47.27 (define @t1215 () (tptp.hAPP @t1214 @t112)) % 47.01/47.27 (define @t1216 () (tptp.hAPP @t1213 @t116)) % 47.01/47.27 (define @t1217 () (tptp.hAPP @t1216 @t112)) % 47.01/47.27 (define @t1218 () (tptp.class_Groups_Ocancel__semigroup__add @t76)) % 47.01/47.27 (define @t1219 () (tptp.hAPP @t1213 @t112)) % 47.01/47.27 (define @t1220 () (tptp.hAPP @t1219 @t113)) % 47.01/47.27 (define @t1221 () (tptp.hAPP @t1219 @t116)) % 47.01/47.27 (define @t1222 () (=> (= @t1221 @t1220) @t117)) % 47.01/47.27 (define @t1223 () (tptp.c_Groups_Oplus__class_Oplus @t15)) % 47.01/47.27 (define @t1224 () (tptp.hAPP @t1223 @t281)) % 47.01/47.27 (define @t1225 () (tptp.hAPP @t1224 @t290)) % 47.01/47.27 (define @t1226 () (tptp.hAPP @t1223 @t294)) % 47.01/47.27 (define @t1227 () (tptp.hAPP @t1226 @t290)) % 47.01/47.27 (define @t1228 () (tptp.class_Groups_Ocancel__semigroup__add @t15)) % 47.01/47.27 (define @t1229 () (tptp.hAPP @t1223 @t290)) % 47.01/47.27 (define @t1230 () (tptp.hAPP @t1229 @t281)) % 47.01/47.27 (define @t1231 () (tptp.hAPP @t1229 @t294)) % 47.01/47.27 (define @t1232 () (@list @t281 @t294 @t290 @t15)) % 47.01/47.27 (define @t1233 () (tptp.hAPP @t1216 @t113)) % 47.01/47.27 (define @t1234 () (tptp.hAPP @t1213 @t1221)) % 47.01/47.27 (define @t1235 () (tptp.hAPP @t1234 @t113)) % 47.01/47.27 (define @t1236 () (= @t1235 (tptp.hAPP @t1219 @t1233))) % 47.01/47.27 (define @t1237 () (tptp.hAPP @t69 @t202)) % 47.01/47.27 (define @t1238 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t71 @t2)) % 47.01/47.27 (define @t1239 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t1035 @t184) @t2) @t1)) % 47.01/47.27 (define @t1240 () (@list @t1 @t184 @t2 @t71 @t15)) % 47.01/47.27 (define @t1241 () (tptp.hAPP @t1214 @t116)) % 47.01/47.27 (define @t1242 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1215) @t1241))) % 47.01/47.27 (define @t1243 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t76)) % 47.01/47.27 (define @t1244 () (@list @t116 @t112 @t113 @t76)) % 47.01/47.27 (define @t1245 () (tptp.hAPP @t77 @t1220)) % 47.01/47.27 (define @t1246 () (tptp.hBOOL (tptp.hAPP @t1245 @t1233))) % 47.01/47.27 (define @t1247 () (@list @t116 @t113 @t112 @t76)) % 47.01/47.27 (define @t1248 () (tptp.hAPP @t1216 @t193)) % 47.01/47.27 (define @t1249 () (tptp.hBOOL (tptp.hAPP @t114 @t193))) % 47.01/47.27 (define @t1250 () (tptp.class_Groups_Oordered__ab__semigroup__add @t76)) % 47.01/47.27 (define @t1251 () (@list @t193 @t113 @t116 @t112 @t76)) % 47.01/47.27 (define @t1252 () (tptp.hAPP @t1224 @t294)) % 47.01/47.27 (define @t1253 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t15)) % 47.01/47.27 (define @t1254 () (@list @t294 @t290 @t281 @t15)) % 47.01/47.27 (define @t1255 () (tptp.hAPP @t1226 @t281)) % 47.01/47.27 (define @t1256 () (@list @t294 @t281 @t290 @t15)) % 47.01/47.27 (define @t1257 () (tptp.hAPP @t1213 @t636)) % 47.01/47.27 (define @t1258 () (= (tptp.hAPP @t1257 @t112) @t112)) % 47.01/47.27 (define @t1259 () (tptp.class_Groups_Omonoid__add @t76)) % 47.01/47.27 (define @t1260 () (tptp.class_Groups_Ocomm__monoid__add @t76)) % 47.01/47.27 (define @t1261 () (= @t290 @t624)) % 47.01/47.27 (define @t1262 () (tptp.hAPP @t1229 @t290)) % 47.01/47.27 (define @t1263 () (tptp.class_Groups_Olinordered__ab__group__add @t15)) % 47.01/47.27 (define @t1264 () (= (tptp.hAPP @t1219 @t636) @t112)) % 47.01/47.27 (define @t1265 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1215) @t1241))) % 47.01/47.27 (define @t1266 () (tptp.hAPP @t712 @t1220)) % 47.01/47.27 (define @t1267 () (tptp.hBOOL (tptp.hAPP @t1266 @t1233))) % 47.01/47.27 (define @t1268 () (tptp.hBOOL (tptp.hAPP @t1266 @t1248))) % 47.01/47.27 (define @t1269 () (tptp.hBOOL (tptp.hAPP @t736 @t193))) % 47.01/47.27 (define @t1270 () (=> @t1269 @t1268)) % 47.01/47.27 (define @t1271 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t76)) % 47.01/47.27 (define @t1272 () (tptp.hAPP @t638 @t116)) % 47.01/47.27 (define @t1273 () (tptp.hAPP @t637 @t1221)) % 47.01/47.27 (define @t1274 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1275 () (tptp.hAPP @t1274 @t488)) % 47.01/47.27 (define @t1276 () (tptp.hAPP @t1275 @t369)) % 47.01/47.27 (define @t1277 () (tptp.hAPP @t1274 @t496)) % 47.01/47.27 (define @t1278 () (tptp.hAPP @t1277 @t260)) % 47.01/47.27 (define @t1279 () (tptp.hAPP tptp.c_Nat_OSuc @t1276)) % 47.01/47.27 (define @t1280 () (tptp.hAPP @t1275 @t370)) % 47.01/47.27 (define @t1281 () (tptp.hAPP (tptp.hAPP @t1274 @t492) @t369)) % 47.01/47.27 (define @t1282 () (tptp.hAPP @t1274 @t95)) % 47.01/47.27 (define @t1283 () (tptp.hAPP @t1282 @t101)) % 47.01/47.27 (define @t1284 () (tptp.hBOOL (tptp.hAPP @t967 @t1283))) % 47.01/47.27 (define @t1285 () (@list @t95 @t101 @t75)) % 47.01/47.27 (define @t1286 () (@list @t101 @t95 @t75)) % 47.01/47.27 (define @t1287 () (tptp.hAPP @t1274 @t559)) % 47.01/47.27 (define @t1288 () (tptp.hAPP @t1287 @t561)) % 47.01/47.27 (define @t1289 () (tptp.hAPP @t816 @t1288)) % 47.01/47.27 (define @t1290 () (tptp.hAPP @t1274 @t558)) % 47.01/47.27 (define @t1291 () (tptp.hAPP @t1290 @t369)) % 47.01/47.27 (define @t1292 () (tptp.hAPP @t816 @t558)) % 47.01/47.27 (define @t1293 () (tptp.hBOOL (tptp.hAPP @t1292 @t666))) % 47.01/47.27 (define @t1294 () (tptp.hAPP @t1274 @t561)) % 47.01/47.27 (define @t1295 () (tptp.hAPP @t1294 @t666)) % 47.01/47.27 (define @t1296 () (tptp.hAPP @t1287 @t558)) % 47.01/47.27 (define @t1297 () (tptp.hAPP @t816 @t1296)) % 47.01/47.27 (define @t1298 () (@list @t666 @t558 @t561 @t559)) % 47.01/47.27 (define @t1299 () (tptp.hAPP @t1294 @t558)) % 47.01/47.27 (define @t1300 () (tptp.hAPP @t1275 @t561)) % 47.01/47.27 (define @t1301 () (@list @t488 @t561 @t559)) % 47.01/47.27 (define @t1302 () (tptp.hAPP @t1294 @t488)) % 47.01/47.27 (define @t1303 () (tptp.hAPP @t1274 @t469)) % 47.01/47.27 (define @t1304 () (tptp.hAPP @t1303 @t260)) % 47.01/47.27 (define @t1305 () (tptp.hAPP @t1303 @t496)) % 47.01/47.27 (define @t1306 () (tptp.hAPP @t1294 @t559)) % 47.01/47.27 (define @t1307 () (@list @t559 @t561)) % 47.01/47.27 (define @t1308 () (@list @t561 @t559)) % 47.01/47.27 (define @t1309 () (tptp.hBOOL (tptp.hAPP @t1135 @t1283))) % 47.01/47.27 (define @t1310 () (tptp.hAPP @t1275 @t558)) % 47.01/47.27 (define @t1311 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1310) @t369))) % 47.01/47.27 (define @t1312 () (@list @t369 @t558 @t488)) % 47.01/47.27 (define @t1313 () (tptp.hAPP @t489 @t1296)) % 47.01/47.27 (define @t1314 () (tptp.hBOOL (tptp.hAPP @t660 @t666))) % 47.01/47.27 (define @t1315 () (tptp.hAPP @t1277 @t802)) % 47.01/47.27 (define @t1316 () (tptp.hAPP @t1274 @t369)) % 47.01/47.27 (define @t1317 () (tptp.hAPP @t1316 @t488)) % 47.01/47.27 (define @t1318 () (tptp.hAPP @t1316 @t558)) % 47.01/47.27 (define @t1319 () (tptp.hAPP @t643 @t1310)) % 47.01/47.27 (define @t1320 () (tptp.hAPP @t1290 @t488)) % 47.01/47.27 (define @t1321 () (tptp.hAPP @t643 @t1317)) % 47.01/47.27 (define @t1322 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t15 @t71 @t2) @t1)) % 47.01/47.27 (define @t1323 () (tptp.hAPP @t1322 @t202)) % 47.01/47.27 (define @t1324 () (tptp.hAPP @t1207 @t964)) % 47.01/47.27 (define @t1325 () (tptp.hAPP @t1207 @t57)) % 47.01/47.27 (define @t1326 () (tptp.hAPP (tptp.hAPP @t1274 @t1325) @t1324)) % 47.01/47.27 (define @t1327 () (tptp.hAPP @t1207 @t48)) % 47.01/47.27 (define @t1328 () (tptp.hAPP @t1274 @t1208)) % 47.01/47.27 (define @t1329 () (tptp.hAPP @t1328 @t1327)) % 47.01/47.27 (define @t1330 () (=> @t928 (= @t1057 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t71 @t15 @t1201) @t1) @t1033) @t51)))) % 47.01/47.27 (define @t1331 () (tptp.hAPP (tptp.hAPP @t888 (tptp.hAPP (tptp.hAPP @t887 @t1223) @t2)) @t1)) % 47.01/47.27 (define @t1332 () (= @t1325 @t1329)) % 47.01/47.27 (define @t1333 () (= @t1208 @t520)) % 47.01/47.27 (define @t1334 () (=> @t1058 @t1333)) % 47.01/47.27 (define @t1335 () (tptp.hAPP @t130 @t624)) % 47.01/47.27 (define @t1336 () (tptp.hBOOL (tptp.hAPP @t1335 @t290))) % 47.01/47.27 (define @t1337 () (tptp.hBOOL (tptp.hAPP @t626 @t624))) % 47.01/47.27 (define @t1338 () (tptp.hAPP @t77 @t636)) % 47.01/47.27 (define @t1339 () (tptp.hBOOL (tptp.hAPP @t1338 @t116))) % 47.01/47.27 (define @t1340 () (tptp.hBOOL (tptp.hAPP @t1338 @t112))) % 47.01/47.27 (define @t1341 () (tptp.class_Groups_Oordered__comm__monoid__add @t76)) % 47.01/47.27 (define @t1342 () (= @t128 @t624)) % 47.01/47.27 (define @t1343 () (and @t673 @t1342)) % 47.01/47.27 (define @t1344 () (tptp.hAPP @t1223 @t47)) % 47.01/47.27 (define @t1345 () (tptp.hAPP @t1344 @t128)) % 47.01/47.27 (define @t1346 () (tptp.hBOOL (tptp.hAPP @t118 @t1220))) % 47.01/47.27 (define @t1347 () (tptp.hBOOL (tptp.hAPP @t1338 @t113))) % 47.01/47.27 (define @t1348 () (@list @t112 @t116 @t113 @t76)) % 47.01/47.27 (define @t1349 () (tptp.hBOOL (tptp.hAPP @t118 @t636))) % 47.01/47.27 (define @t1350 () (tptp.hBOOL (tptp.hAPP @t121 @t636))) % 47.01/47.27 (define @t1351 () (tptp.hAPP @t714 @t624)) % 47.01/47.27 (define @t1352 () (tptp.hBOOL (tptp.hAPP @t1351 @t290))) % 47.01/47.27 (define @t1353 () (tptp.hBOOL (tptp.hAPP @t761 @t624))) % 47.01/47.27 (define @t1354 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1262) @t624)) @t1353)) % 47.01/47.27 (define @t1355 () (tptp.hAPP @t712 @t636)) % 47.01/47.27 (define @t1356 () (tptp.hBOOL (tptp.hAPP @t1355 @t1221))) % 47.01/47.27 (define @t1357 () (tptp.hBOOL (tptp.hAPP @t1355 @t116))) % 47.01/47.27 (define @t1358 () (=> @t1357 @t1356)) % 47.01/47.27 (define @t1359 () (tptp.hBOOL (tptp.hAPP @t1355 @t112))) % 47.01/47.27 (define @t1360 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1221) @t636))) % 47.01/47.27 (define @t1361 () (tptp.hBOOL (tptp.hAPP @t729 @t636))) % 47.01/47.27 (define @t1362 () (=> @t1361 @t1360)) % 47.01/47.27 (define @t1363 () (tptp.hBOOL (tptp.hAPP @t731 @t636))) % 47.01/47.27 (define @t1364 () (tptp.c_Finite__Set_Ocard @t71)) % 47.01/47.27 (define @t1365 () (tptp.hAPP @t1364 @t222)) % 47.01/47.27 (define @t1366 () (= @t1365 @t1208)) % 47.01/47.27 (define @t1367 () (= @t260 @t904)) % 47.01/47.27 (define @t1368 () (= @t496 @t904)) % 47.01/47.27 (define @t1369 () (or (and @t1368 @t554) (and @t903 @t1367))) % 47.01/47.27 (define @t1370 () (tptp.hBOOL (tptp.hAPP @t822 @t496))) % 47.01/47.27 (define @t1371 () (@list @t488 @t559)) % 47.01/47.27 (define @t1372 () (tptp.hAPP @t1287 @t488)) % 47.01/47.27 (define @t1373 () (= (tptp.hAPP @t1316 @t647) @t488)) % 47.01/47.27 (define @t1374 () (@var "V_j_2" $$unsorted)) % 47.01/47.27 (define @t1375 () (tptp.hAPP @t1274 @t1144)) % 47.01/47.27 (define @t1376 () (tptp.hAPP @t1375 @t469)) % 47.01/47.27 (define @t1377 () (tptp.hAPP @t643 @t1374)) % 47.01/47.27 (define @t1378 () (tptp.hAPP @t1377 @t469)) % 47.01/47.27 (define @t1379 () (tptp.hAPP @t816 @t1144)) % 47.01/47.27 (define @t1380 () (@list @t469 @t1374 @t1144)) % 47.01/47.27 (define @t1381 () (tptp.hAPP @t878 @t558)) % 47.01/47.27 (define @t1382 () (tptp.hAPP (tptp.hAPP @t1274 @t1381) @t559)) % 47.01/47.27 (define @t1383 () (tptp.hAPP (tptp.hAPP @t643 @t1306) @t558)) % 47.01/47.27 (define @t1384 () (tptp.hBOOL (tptp.hAPP @t660 @t561))) % 47.01/47.27 (define @t1385 () (@list @t559 @t561 @t558)) % 47.01/47.27 (define @t1386 () (tptp.hAPP @t1287 @t1381)) % 47.01/47.27 (define @t1387 () (tptp.hAPP (tptp.hAPP @t643 @t1288) @t558)) % 47.01/47.27 (define @t1388 () (tptp.hAPP @t1377 @t1144)) % 47.01/47.27 (define @t1389 () (tptp.hAPP @t489 @t1144)) % 47.01/47.27 (define @t1390 () (tptp.hBOOL (tptp.hAPP @t1389 @t1374))) % 47.01/47.27 (define @t1391 () (@list @t488 @t369 @t558)) % 47.01/47.27 (define @t1392 () (tptp.hAPP @t489 @t1374)) % 47.01/47.27 (define @t1393 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1394 () (tptp.hAPP @t1393 @t1274)) % 47.01/47.27 (define @t1395 () (tptp.hAPP @t1394 @t469)) % 47.01/47.27 (define @t1396 () (tptp.hAPP @t1201 @t1057)) % 47.01/47.27 (define @t1397 () (tptp.c_COMBB @t71 @t1035 @t15)) % 47.01/47.27 (define @t1398 () (tptp.c_COMBS @t15 @t71 @t71)) % 47.01/47.27 (define @t1399 () (@list @t899 @t1 @t51 @t15 @t71)) % 47.01/47.27 (define @t1400 () (tptp.hAPP @t1323 @t51)) % 47.01/47.27 (define @t1401 () (tptp.hBOOL (tptp.hAPP @t822 @t1208))) % 47.01/47.27 (define @t1402 () (tptp.hAPP @t1207 @t339)) % 47.01/47.27 (define @t1403 () (tptp.hAPP @t489 @t1208)) % 47.01/47.27 (define @t1404 () (tptp.hBOOL (tptp.hAPP @t729 @t1220))) % 47.01/47.27 (define @t1405 () (=> @t735 @t1404)) % 47.01/47.27 (define @t1406 () (tptp.hAPP @t1364 @t51)) % 47.01/47.27 (define @t1407 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1208) @t1327))) % 47.01/47.27 (define @t1408 () (@var "B_d" $$unsorted)) % 47.01/47.27 (define @t1409 () (tptp.hAPP @t35 @t1408)) % 47.01/47.27 (define @t1410 () (tptp.hBOOL @t1409)) % 47.01/47.27 (define @t1411 () (= @t290 (tptp.hAPP (tptp.hAPP @t1274 @t294) @t1408))) % 47.01/47.27 (define @t1412 () (@list @t1408)) % 47.01/47.27 (define @t1413 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t290) @t294))) % 47.01/47.27 (define @t1414 () (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t643 @t290) @t294)))) % 47.01/47.27 (define @t1415 () (@list @t294 @t290 @t35)) % 47.01/47.27 (define @t1416 () (tptp.hAPP tptp.c_Nat_OSuc @t561)) % 47.01/47.27 (define @t1417 () (tptp.hAPP tptp.c_Nat_OSuc @t1381)) % 47.01/47.27 (define @t1418 () (@list @t488 @t561 @t558)) % 47.01/47.27 (define @t1419 () (=> @t357 (= @t1402 (tptp.hAPP tptp.c_Nat_OSuc @t1208)))) % 47.01/47.27 (define @t1420 () (tptp.hAPP @t1364 @t48)) % 47.01/47.27 (define @t1421 () (tptp.c_Set_Oimage @t71 @t15 @t1)) % 47.01/47.27 (define @t1422 () (tptp.hBOOL (tptp.hAPP @t224 @t48))) % 47.01/47.27 (define @t1423 () (tptp.hAPP @t643 @t1208)) % 47.01/47.27 (define @t1424 () (tptp.hAPP @t1423 @t1327)) % 47.01/47.27 (define @t1425 () (tptp.hAPP @t1207 @t537)) % 47.01/47.27 (define @t1426 () (tptp.hAPP @t947 @t339)) % 47.01/47.27 (define @t1427 () (tptp.hAPP @t1396 (tptp.hAPP @t947 @t48))) % 47.01/47.27 (define @t1428 () (tptp.hAPP @t947 @t57)) % 47.01/47.27 (define @t1429 () (@list @t1 @t48 @t51 @t15 @t71)) % 47.01/47.27 (define @t1430 () (tptp.hBOOL (tptp.hAPP @t1403 @t1420))) % 47.01/47.27 (define @t1431 () (@list @t47 @t1 @t51 @t15 @t71)) % 47.01/47.27 (define @t1432 () (= @t1428 @t1427)) % 47.01/47.27 (define @t1433 () (@list @t48 @t71 @t51 @t15)) % 47.01/47.27 (define @t1434 () (tptp.class_Rings_Olinordered__idom @t15)) % 47.01/47.27 (define @t1435 () (tptp.class_Rings_Olinordered__semidom @t76)) % 47.01/47.27 (define @t1436 () (tptp.hAPP @t1062 @t1)) % 47.01/47.27 (define @t1437 () (tptp.hAPP @t1436 @t51)) % 47.01/47.27 (define @t1438 () (=> (not @t1089) (= @t1437 @t202))) % 47.01/47.27 (define @t1439 () (=> @t1089 (= @t1437 @t1400))) % 47.01/47.27 (define @t1440 () (tptp.c_Big__Operators_Ocomm__monoid__big @t15 @t71 @t2 @t202 @t1062)) % 47.01/47.27 (define @t1441 () (@list @t1 @t51 @t1062 @t202 @t2 @t71 @t15)) % 47.01/47.27 (define @t1442 () (tptp.hBOOL (tptp.hAPP @t174 @t964))) % 47.01/47.27 (define @t1443 () (tptp.hAPP (tptp.hAPP @t55 @t386) @t1153)) % 47.01/47.27 (define @t1444 () (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP (tptp.hAPP @t962 @t386) @t1153)))) % 47.01/47.27 (define @t1445 () (@list @t2 @t1153 @t386 @t15 @t71)) % 47.01/47.27 (define @t1446 () (@var "B_B" $$unsorted)) % 47.01/47.27 (define @t1447 () (= @t469 @t520)) % 47.01/47.27 (define @t1448 () (tptp.hAPP tptp.c_Nat_OSuc @t469)) % 47.01/47.27 (define @t1449 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1450 () (=> @t331 (= @t1210 (tptp.hAPP @t1423 @t1449)))) % 47.01/47.27 (define @t1451 () (tptp.hAPP @t1274 @t260)) % 47.01/47.27 (define @t1452 () (tptp.hAPP @t1451 @t469)) % 47.01/47.27 (define @t1453 () (tptp.hAPP @t1277 @t469)) % 47.01/47.27 (define @t1454 () (@list @t260 @t469 @t496)) % 47.01/47.27 (define @t1455 () (tptp.hAPP @t1274 @t75)) % 47.01/47.27 (define @t1456 () (tptp.c_Groups_Oone__class_Oone @t76)) % 47.01/47.27 (define @t1457 () (tptp.class_Rings_Ozero__neq__one @t76)) % 47.01/47.27 (define @t1458 () (@list @t76)) % 47.01/47.27 (define @t1459 () (tptp.c_Groups_Oone__class_Oone @t15)) % 47.01/47.27 (define @t1460 () (= @t47 @t1459)) % 47.01/47.27 (define @t1461 () (tptp.hAPP @t1316 @t1449)) % 47.01/47.27 (define @t1462 () (tptp.hAPP @t1274 @t1449)) % 47.01/47.27 (define @t1463 () (tptp.hAPP @t1462 @t369)) % 47.01/47.27 (define @t1464 () (tptp.hAPP @t77 @t1456)) % 47.01/47.27 (define @t1465 () (tptp.hAPP @t712 @t1456)) % 47.01/47.27 (define @t1466 () (tptp.hAPP @t1219 @t1456)) % 47.01/47.27 (define @t1467 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t15) @t1449)) % 47.01/47.27 (define @t1468 () (=> @t928 (= @t1208 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t15 @t1274) @t1467) @t520) @t51)))) % 47.01/47.27 (define @t1469 () (tptp.hAPP @t1213 @t1456)) % 47.01/47.27 (define @t1470 () (tptp.hAPP @t1469 @t1456)) % 47.01/47.27 (define @t1471 () (tptp.hAPP @t646 @t1449)) % 47.01/47.27 (define @t1472 () (= @t488 @t520)) % 47.01/47.27 (define @t1473 () (not @t1472)) % 47.01/47.27 (define @t1474 () (tptp.class_Rings_Olinordered__idom @t76)) % 47.01/47.27 (define @t1475 () (= @t5 @t1449)) % 47.01/47.27 (define @t1476 () (tptp.c_member tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1477 () (tptp.hAPP @t1476 @t3)) % 47.01/47.27 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t1477 @t846))) % 47.01/47.27 (define @t1479 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1480 () (tptp.hBOOL (tptp.hAPP @t1479 @t846))) % 47.01/47.27 (define @t1481 () (tptp.hAPP @t644 @t1449)) % 47.01/47.27 (define @t1482 () (tptp.hAPP tptp.c_Nat_OSuc @t1481)) % 47.01/47.27 (define @t1483 () (tptp.hAPP @t1462 @t1210)) % 47.01/47.27 (define @t1484 () (= (= @t1262 @t624) @t1261)) % 47.01/47.27 (define @t1485 () (= @t1449 @t520)) % 47.01/47.27 (define @t1486 () (@var "V_u_2" $$unsorted)) % 47.01/47.27 (define @t1487 () (@var "V_less__eq_2" $$unsorted)) % 47.01/47.27 (define @t1488 () (tptp.hAPP @t1487 @t1144)) % 47.01/47.27 (define @t1489 () (tptp.hBOOL (tptp.hAPP @t1488 @t1486))) % 47.01/47.27 (define @t1490 () (@var "V_l_2" $$unsorted)) % 47.01/47.27 (define @t1491 () (@var "V_less_2" $$unsorted)) % 47.01/47.27 (define @t1492 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1491 @t1490) @t1144))) % 47.01/47.27 (define @t1493 () (@list @t1486 @t1490 @t1491 @t1487 @t1144 @t15)) % 47.01/47.27 (define @t1494 () (tptp.hAPP @t1491 @t1144)) % 47.01/47.27 (define @t1495 () (tptp.hBOOL (tptp.hAPP @t1494 @t1486))) % 47.01/47.27 (define @t1496 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1487 @t1490) @t1144))) % 47.01/47.27 (define @t1497 () (@list @t469 @t1491 @t1144 @t15)) % 47.01/47.27 (define @t1498 () (@list @t469 @t1487 @t1144 @t15)) % 47.01/47.27 (define @t1499 () (tptp.hAPP @t1223 @t1459)) % 47.01/47.27 (define @t1500 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1499 @t290)) @t290)) % 47.01/47.27 (define @t1501 () (tptp.c_Int_Oring__1__class_OInts @t15)) % 47.01/47.27 (define @t1502 () (tptp.hBOOL (tptp.hAPP @t291 @t1501))) % 47.01/47.27 (define @t1503 () (@list @t478 @t479)) % 47.01/47.27 (define @t1504 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t15)) % 47.01/47.27 (define @t1505 () (tptp.class_Rings_Ocomm__semiring__1 @t76)) % 47.01/47.27 (define @t1506 () (tptp.c_Sum__Type_OPlus @t15 @t71 @t51 @t48)) % 47.01/47.27 (define @t1507 () (tptp.tc_sum @t15 @t71)) % 47.01/47.27 (define @t1508 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t1507) @t1506)) % 47.01/47.27 (define @t1509 () (and @t928 @t1094)) % 47.01/47.27 (define @t1510 () (= @t1508 (tptp.hAPP @t1328 @t1420))) % 47.01/47.27 (define @t1511 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Com_Ocom_Ocom__size @t11)) @t904)) % 47.01/47.27 (define @t1512 () (@list @t11 @t568)) % 47.01/47.27 (define @t1513 () (tptp.c_Finite__Set_Ofinite @t1507)) % 47.01/47.27 (define @t1514 () (tptp.hBOOL (tptp.hAPP @t1513 @t1506))) % 47.01/47.27 (define @t1515 () (@list @t48 @t51 @t71 @t15)) % 47.01/47.27 (define @t1516 () (tptp.hAPP @t173 @t624)) % 47.01/47.27 (define @t1517 () (tptp.class_Rings_Oring__1 @t15)) % 47.01/47.27 (define @t1518 () (tptp.hAPP @t173 @t1231)) % 47.01/47.27 (define @t1519 () (tptp.hBOOL (tptp.hAPP @t309 @t1501))) % 47.01/47.27 (define @t1520 () (tptp.hAPP @t173 @t1459)) % 47.01/47.27 (define @t1521 () (tptp.hAPP @t1213 @t1220)) % 47.01/47.27 (define @t1522 () (tptp.hAPP @t1214 @t193)) % 47.01/47.27 (define @t1523 () (tptp.hAPP @t1219 @t1522)) % 47.01/47.27 (define @t1524 () (@list @t193 @t113 @t112 @t76)) % 47.01/47.27 (define @t1525 () (@var "V_pname" $$unsorted)) % 47.01/47.27 (define @t1526 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t1525)) % 47.01/47.27 (define @t1527 () (@list @t1525)) % 47.01/47.27 (define @t1528 () (tptp.class_Int_Oring__char__0 @t15)) % 47.01/47.27 (define @t1529 () (= @t48 @t377)) % 47.01/47.27 (define @t1530 () (tptp.tc_fun @t1507 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t1531 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 47.01/47.27 (define @t1532 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t1531 @t11)) @t904)) % 47.01/47.27 (define @t1533 () (tptp.hAPP @t35 @t948)) % 47.01/47.27 (define @t1534 () (tptp.hBOOL @t1533)) % 47.01/47.27 (define @t1535 () (tptp.hAPP @t489 @t948)) % 47.01/47.27 (define @t1536 () (tptp.c_Groups_Oone__class_Oone @t71)) % 47.01/47.27 (define @t1537 () (tptp.c_Groups_Otimes__class_Otimes @t71)) % 47.01/47.27 (define @t1538 () (tptp.c_Finite__Set_Ofold__image @t71 @t15 @t1537)) % 47.01/47.27 (define @t1539 () (tptp.hAPP @t1538 @t1)) % 47.01/47.27 (define @t1540 () (tptp.hAPP @t1539 @t1536)) % 47.01/47.27 (define @t1541 () (tptp.hAPP @t1540 @t51)) % 47.01/47.27 (define @t1542 () (tptp.hAPP @t1537 @t1541)) % 47.01/47.27 (define @t1543 () (tptp.hAPP @t1542 (tptp.hAPP @t1540 @t48))) % 47.01/47.27 (define @t1544 () (tptp.hAPP @t1540 @t57)) % 47.01/47.27 (define @t1545 () (tptp.class_Groups_Ocomm__monoid__mult @t71)) % 47.01/47.27 (define @t1546 () (tptp.hAPP @t1393 @t643)) % 47.01/47.27 (define @t1547 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t496 @t260)) % 47.01/47.27 (define @t1548 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t15 tptp.tc_Nat_Onat) @t2)) % 47.01/47.27 (define @t1549 () (tptp.c_COMBB @t15 @t886 tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1550 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t15)) % 47.01/47.27 (define @t1551 () (tptp.hAPP (tptp.hAPP @t1550 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t15 @t15) (tptp.hAPP (tptp.hAPP @t1549 @t565) @t2)) (tptp.hAPP @t1548 (tptp.hAPP @t1394 @t1449)))) @t1547)) % 47.01/47.27 (define @t1552 () (tptp.hAPP @t1451 @t1449)) % 47.01/47.27 (define @t1553 () (tptp.hAPP @t2 @t496)) % 47.01/47.27 (define @t1554 () (@list @t2 @t260 @t496 @t15)) % 47.01/47.27 (define @t1555 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1490 @t1486)) % 47.01/47.27 (define @t1556 () (@list @t1486 @t1490)) % 47.01/47.27 (define @t1557 () (@var "V_ry" $$unsorted)) % 47.01/47.27 (define @t1558 () (@var "V_ly" $$unsorted)) % 47.01/47.27 (define @t1559 () (tptp.c_Groups_Otimes__class_Otimes @t76)) % 47.01/47.27 (define @t1560 () (tptp.hAPP @t1559 @t1558)) % 47.01/47.27 (define @t1561 () (@var "V_rx" $$unsorted)) % 47.01/47.27 (define @t1562 () (@var "V_lx" $$unsorted)) % 47.01/47.27 (define @t1563 () (tptp.hAPP @t1559 @t1562)) % 47.01/47.27 (define @t1564 () (tptp.hAPP @t1559 (tptp.hAPP @t1563 @t1561))) % 47.01/47.27 (define @t1565 () (tptp.hAPP @t1559 @t1561)) % 47.01/47.27 (define @t1566 () (tptp.hAPP @t1565 @t1557)) % 47.01/47.27 (define @t1567 () (tptp.hAPP @t1559 (tptp.hAPP @t1563 @t1558))) % 47.01/47.27 (define @t1568 () (tptp.hAPP @t1567 @t1566)) % 47.01/47.27 (define @t1569 () (@list @t1557 @t1561 @t1558 @t1562 @t76)) % 47.01/47.27 (define @t1570 () (tptp.hAPP @t1567 @t1561)) % 47.01/47.27 (define @t1571 () (@list @t1561 @t1558 @t1562 @t76)) % 47.01/47.27 (define @t1572 () (tptp.hAPP @t1563 @t1566)) % 47.01/47.27 (define @t1573 () (@list @t1557 @t1561 @t1562 @t76)) % 47.01/47.27 (define @t1574 () (tptp.hAPP @t1559 @t116)) % 47.01/47.27 (define @t1575 () (tptp.hAPP @t1574 @t112)) % 47.01/47.27 (define @t1576 () (tptp.hAPP @t1559 @t112)) % 47.01/47.27 (define @t1577 () (tptp.hAPP @t1576 @t116)) % 47.01/47.27 (define @t1578 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t76)) % 47.01/47.27 (define @t1579 () (tptp.hAPP @t1559 @t75)) % 47.01/47.27 (define @t1580 () (tptp.hAPP @t1579 @t75)) % 47.01/47.27 (define @t1581 () (tptp.hAPP @t1576 @t112)) % 47.01/47.27 (define @t1582 () (tptp.hAPP @t1574 @t113)) % 47.01/47.27 (define @t1583 () (= @t116 @t636)) % 47.01/47.27 (define @t1584 () (= @t112 @t636)) % 47.01/47.27 (define @t1585 () (= @t1577 @t636)) % 47.01/47.27 (define @t1586 () (tptp.class_Rings_Ono__zero__divisors @t76)) % 47.01/47.27 (define @t1587 () (not @t1583)) % 47.01/47.27 (define @t1588 () (not @t1584)) % 47.01/47.27 (define @t1589 () (= @t294 @t624)) % 47.01/47.27 (define @t1590 () (tptp.c_Groups_Otimes__class_Otimes @t15)) % 47.01/47.27 (define @t1591 () (tptp.hAPP @t1590 @t290)) % 47.01/47.27 (define @t1592 () (tptp.hAPP @t1591 @t294)) % 47.01/47.27 (define @t1593 () (= (tptp.hAPP @t1576 @t636) @t636)) % 47.01/47.27 (define @t1594 () (tptp.class_Rings_Omult__zero @t76)) % 47.01/47.27 (define @t1595 () (= (tptp.hAPP (tptp.hAPP @t1559 @t636) @t112) @t636)) % 47.01/47.27 (define @t1596 () (tptp.hAPP tptp.c_Nat_OSuc @t1374)) % 47.01/47.27 (define @t1597 () (tptp.hAPP tptp.c_Nat_OSuc @t1144)) % 47.01/47.27 (define @t1598 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1144 @t1374)) % 47.01/47.27 (define @t1599 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 47.01/47.27 (define @t1600 () (@list @t1374 @t1144)) % 47.01/47.27 (define @t1601 () (@var "V_e" $$unsorted)) % 47.01/47.27 (define @t1602 () (tptp.hAPP @t1559 @t1221)) % 47.01/47.27 (define @t1603 () (tptp.hAPP @t1576 @t113)) % 47.01/47.27 (define @t1604 () (= (tptp.hAPP @t1602 @t113) (tptp.hAPP (tptp.hAPP @t1213 @t1603) @t1582))) % 47.01/47.27 (define @t1605 () (tptp.hAPP @t1579 @t101)) % 47.01/47.27 (define @t1606 () (tptp.hAPP @t1579 @t95)) % 47.01/47.27 (define @t1607 () (tptp.hAPP @t1213 @t95)) % 47.01/47.27 (define @t1608 () (tptp.hAPP @t1607 @t101)) % 47.01/47.27 (define @t1609 () (tptp.hAPP @t1590 @t294)) % 47.01/47.27 (define @t1610 () (tptp.hAPP @t1609 @t281)) % 47.01/47.27 (define @t1611 () (tptp.hAPP @t1591 @t281)) % 47.01/47.27 (define @t1612 () (tptp.hAPP @t1576 @t488)) % 47.01/47.27 (define @t1613 () (tptp.hAPP @t1213 @t1612)) % 47.01/47.27 (define @t1614 () (= @t128 @t202)) % 47.01/47.27 (define @t1615 () (@var "V_w_2" $$unsorted)) % 47.01/47.27 (define @t1616 () (tptp.hAPP @t1590 @t47)) % 47.01/47.27 (define @t1617 () (tptp.hAPP @t1590 @t1615)) % 47.01/47.27 (define @t1618 () (tptp.hAPP @t1616 @t202)) % 47.01/47.27 (define @t1619 () (tptp.hAPP @t1617 @t128)) % 47.01/47.27 (define @t1620 () (= (tptp.hAPP @t1576 @t1456) @t112)) % 47.01/47.27 (define @t1621 () (tptp.class_Groups_Ocomm__monoid__mult @t76)) % 47.01/47.27 (define @t1622 () (tptp.class_Groups_Omonoid__mult @t76)) % 47.01/47.27 (define @t1623 () (= (tptp.hAPP (tptp.hAPP @t1559 @t1456) @t112) @t112)) % 47.01/47.27 (define @t1624 () (or @t663 @t1447)) % 47.01/47.27 (define @t1625 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1626 () (tptp.hAPP @t1625 @t260)) % 47.01/47.27 (define @t1627 () (tptp.hAPP @t1626 @t469)) % 47.01/47.27 (define @t1628 () (tptp.hAPP @t1625 @t496)) % 47.01/47.27 (define @t1629 () (tptp.hAPP @t1628 @t469)) % 47.01/47.27 (define @t1630 () (tptp.hAPP @t1625 @t469)) % 47.01/47.27 (define @t1631 () (tptp.hAPP @t1630 @t260)) % 47.01/47.27 (define @t1632 () (tptp.hAPP @t1630 @t496)) % 47.01/47.27 (define @t1633 () (= @t1632 @t1631)) % 47.01/47.27 (define @t1634 () (tptp.hAPP @t1628 @t260)) % 47.01/47.27 (define @t1635 () (tptp.hAPP @t1625 @t488)) % 47.01/47.27 (define @t1636 () (tptp.hAPP @t1625 @t1448)) % 47.01/47.27 (define @t1637 () (tptp.hAPP @t1636 @t260)) % 47.01/47.27 (define @t1638 () (tptp.hAPP @t1636 @t496)) % 47.01/47.27 (define @t1639 () (tptp.hAPP @t1625 @t558)) % 47.01/47.27 (define @t1640 () (tptp.hAPP @t1639 @t369)) % 47.01/47.27 (define @t1641 () (tptp.hAPP @t1639 @t488)) % 47.01/47.27 (define @t1642 () (tptp.hAPP @t1625 @t369)) % 47.01/47.27 (define @t1643 () (tptp.hAPP @t1642 @t558)) % 47.01/47.27 (define @t1644 () (tptp.hAPP @t1635 @t558)) % 47.01/47.27 (define @t1645 () (tptp.hAPP @t1625 @t561)) % 47.01/47.27 (define @t1646 () (tptp.hAPP @t1625 @t559)) % 47.01/47.27 (define @t1647 () (tptp.hAPP @t1646 @t558)) % 47.01/47.27 (define @t1648 () (tptp.hAPP @t489 @t1647)) % 47.01/47.27 (define @t1649 () (tptp.hAPP @t1639 @t561)) % 47.01/47.27 (define @t1650 () (tptp.hAPP @t1639 @t559)) % 47.01/47.27 (define @t1651 () (tptp.hAPP @t1645 @t558)) % 47.01/47.27 (define @t1652 () (tptp.hAPP @t1635 @t488)) % 47.01/47.27 (define @t1653 () (and (= @t496 @t1449) (= @t260 @t1449))) % 47.01/47.27 (define @t1654 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t15)) % 47.01/47.27 (define @t1655 () (tptp.hAPP @t1550 (tptp.hAPP @t1548 tptp.c_Nat_OSuc))) % 47.01/47.27 (define @t1656 () (tptp.hAPP @t1550 @t2)) % 47.01/47.27 (define @t1657 () (@list @t260 @t496 @t2 @t15)) % 47.01/47.27 (define @t1658 () (tptp.hAPP @t1274 @t1374)) % 47.01/47.27 (define @t1659 () (tptp.hAPP @t1658 @t469)) % 47.01/47.27 (define @t1660 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1395)) % 47.01/47.27 (define @t1661 () (@list @t1374 @t1144 @t469)) % 47.01/47.27 (define @t1662 () (tptp.hAPP @t1550 (tptp.hAPP @t1548 @t1395))) % 47.01/47.27 (define @t1663 () (@list @t260 @t469 @t496 @t2 @t15)) % 47.01/47.27 (define @t1664 () (tptp.hAPP (tptp.hAPP @t887 @t1590) @t2)) % 47.01/47.27 (define @t1665 () (tptp.hAPP @t1590 @t885)) % 47.01/47.27 (define @t1666 () (tptp.class_Rings_Osemiring__0 @t15)) % 47.01/47.27 (define @t1667 () (@var "V_r_2" $$unsorted)) % 47.01/47.27 (define @t1668 () (tptp.c_COMBC @t71 @t15 @t15)) % 47.01/47.27 (define @t1669 () (tptp.hAPP @t1668 @t1664)) % 47.01/47.27 (define @t1670 () (@list @t1667 @t51 @t2 @t71 @t15)) % 47.01/47.27 (define @t1671 () (tptp.hAPP @t1590 @t1667)) % 47.01/47.27 (define @t1672 () (tptp.c_COMBB @t15 @t15 @t71)) % 47.01/47.27 (define @t1673 () (tptp.class_Rings_Olinordered__ring @t76)) % 47.01/47.27 (define @t1674 () (tptp.hAPP @t130 @t294)) % 47.01/47.27 (define @t1675 () (tptp.hBOOL (tptp.hAPP @t1674 @t624))) % 47.01/47.27 (define @t1676 () (tptp.hBOOL (tptp.hAPP @t1335 @t294))) % 47.01/47.27 (define @t1677 () (or (and @t1336 @t1676) (and @t1337 @t1675))) % 47.01/47.27 (define @t1678 () (tptp.class_Rings_Olinordered__ring__strict @t15)) % 47.01/47.27 (define @t1679 () (or (and @t1336 @t1675) (and @t1337 @t1676))) % 47.01/47.27 (define @t1680 () (tptp.hBOOL (tptp.hAPP @t1338 @t1577))) % 47.01/47.27 (define @t1681 () (tptp.class_Rings_Oordered__cancel__semiring @t76)) % 47.01/47.27 (define @t1682 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1577) @t636))) % 47.01/47.27 (define @t1683 () (tptp.class_Rings_Oordered__ring @t76)) % 47.01/47.27 (define @t1684 () (tptp.hAPP @t77 @t1603)) % 47.01/47.27 (define @t1685 () (tptp.hBOOL (tptp.hAPP @t1684 @t1582))) % 47.01/47.27 (define @t1686 () (tptp.class_Rings_Oordered__semiring @t76)) % 47.01/47.27 (define @t1687 () (tptp.hAPP @t1559 @t113)) % 47.01/47.27 (define @t1688 () (tptp.hAPP @t1687 @t116)) % 47.01/47.27 (define @t1689 () (tptp.hAPP @t1687 @t112)) % 47.01/47.27 (define @t1690 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1689) @t1688))) % 47.01/47.27 (define @t1691 () (=> @t123 (=> @t1347 @t1690))) % 47.01/47.27 (define @t1692 () (tptp.hBOOL (tptp.hAPP @t114 @t636))) % 47.01/47.27 (define @t1693 () (tptp.hAPP @t1574 @t193)) % 47.01/47.27 (define @t1694 () (=> @t1347 (tptp.hBOOL (tptp.hAPP @t1684 @t1693)))) % 47.01/47.27 (define @t1695 () (tptp.hAPP @t714 @t294)) % 47.01/47.27 (define @t1696 () (tptp.hBOOL (tptp.hAPP @t1695 @t290))) % 47.01/47.27 (define @t1697 () (tptp.hBOOL (tptp.hAPP @t759 @t624))) % 47.01/47.27 (define @t1698 () (tptp.hBOOL (tptp.hAPP @t1351 @t281))) % 47.01/47.27 (define @t1699 () (or (and @t1698 @t762) (and @t1697 @t1696))) % 47.01/47.27 (define @t1700 () (tptp.hAPP @t714 @t1611)) % 47.01/47.27 (define @t1701 () (tptp.hAPP @t1590 @t281)) % 47.01/47.27 (define @t1702 () (tptp.hAPP @t1701 @t294)) % 47.01/47.27 (define @t1703 () (tptp.hAPP @t1701 @t290)) % 47.01/47.27 (define @t1704 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1703) @t1702))) % 47.01/47.27 (define @t1705 () (tptp.hBOOL (tptp.hAPP @t1355 @t1577))) % 47.01/47.27 (define @t1706 () (tptp.class_Rings_Olinordered__semiring__strict @t76)) % 47.01/47.27 (define @t1707 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1577) @t636))) % 47.01/47.27 (define @t1708 () (=> @t1359 @t1357)) % 47.01/47.27 (define @t1709 () (tptp.class_Rings_Olinordered__ring__strict @t76)) % 47.01/47.27 (define @t1710 () (tptp.hAPP @t712 @t1603)) % 47.01/47.27 (define @t1711 () (tptp.hBOOL (tptp.hAPP @t1710 @t1582))) % 47.01/47.27 (define @t1712 () (tptp.hBOOL (tptp.hAPP @t1355 @t113))) % 47.01/47.27 (define @t1713 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1689) @t1688))) % 47.01/47.27 (define @t1714 () (=> @t732 (=> @t1712 @t1713))) % 47.01/47.27 (define @t1715 () (tptp.hBOOL (tptp.hAPP @t736 @t636))) % 47.01/47.27 (define @t1716 () (tptp.hAPP @t1616 @t47)) % 47.01/47.27 (define @t1717 () (tptp.hAPP (tptp.hAPP @t1223 @t1716) (tptp.hAPP (tptp.hAPP @t1590 @t128) @t128))) % 47.01/47.27 (define @t1718 () (@var "V_r" $$unsorted)) % 47.01/47.27 (define @t1719 () (tptp.hAPP @t1559 @t1718)) % 47.01/47.27 (define @t1720 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1721 () (tptp.hAPP @t1720 @t2)) % 47.01/47.27 (define @t1722 () (tptp.hAPP @t2 @t520)) % 47.01/47.27 (define @t1723 () (@list @t369 @t488 @t76)) % 47.01/47.27 (define @t1724 () (@var "V_e_2" $$unsorted)) % 47.01/47.27 (define @t1725 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1590 @t625) @t1724)) @t281)) % 47.01/47.27 (define @t1726 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1609 @t1724)) @t345)) % 47.01/47.27 (define @t1727 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1591 @t1724)) @t281)) % 47.01/47.27 (define @t1728 () (= @t1727 @t1726)) % 47.01/47.27 (define @t1729 () (tptp.class_Rings_Oring @t15)) % 47.01/47.27 (define @t1730 () (@list @t345 @t294 @t281 @t1724 @t290 @t15)) % 47.01/47.27 (define @t1731 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP (tptp.hAPP @t565 @t294) @t290)) @t1724)) @t345)) % 47.01/47.27 (define @t1732 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1733 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t496 @t261)) % 47.01/47.27 (define @t1734 () (tptp.hAPP (tptp.hAPP @t1559 @t1466) @t488)) % 47.01/47.27 (define @t1735 () (tptp.hAPP @t1213 @t488)) % 47.01/47.27 (define @t1736 () (tptp.hAPP @t1559 @t1470)) % 47.01/47.27 (define @t1737 () (@list @t488 @t76)) % 47.01/47.27 (define @t1738 () (tptp.hAPP tptp.c_Nat_OSuc @t1486)) % 47.01/47.27 (define @t1739 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1740 () (tptp.hBOOL (tptp.hAPP @t822 @t558))) % 47.01/47.27 (define @t1741 () (tptp.hBOOL (tptp.hAPP @t822 @t469))) % 47.01/47.27 (define @t1742 () (and @t1741 @t860)) % 47.01/47.27 (define @t1743 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1632) @t1631))) % 47.01/47.27 (define @t1744 () (tptp.hAPP @t1635 @t369)) % 47.01/47.27 (define @t1745 () (tptp.hAPP @t173 @t1592)) % 47.01/47.27 (define @t1746 () (not @t627)) % 47.01/47.27 (define @t1747 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t290 @t294)) % 47.01/47.27 (define @t1748 () (= @t1747 @t289)) % 47.01/47.27 (define @t1749 () (tptp.hBOOL (tptp.hAPP @t1674 @t345))) % 47.01/47.27 (define @t1750 () (tptp.hBOOL (tptp.hAPP @t640 @t290))) % 47.01/47.27 (define @t1751 () (and @t1750 @t1749)) % 47.01/47.27 (define @t1752 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t281 @t345)) % 47.01/47.27 (define @t1753 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1703) @t1702))) % 47.01/47.27 (define @t1754 () (tptp.hBOOL (tptp.hAPP @t1674 @t290))) % 47.01/47.27 (define @t1755 () (tptp.hBOOL (tptp.hAPP @t1710 @t1693))) % 47.01/47.27 (define @t1756 () (=> @t1347 @t1755)) % 47.01/47.27 (define @t1757 () (=> @t1347 @t732)) % 47.01/47.27 (define @t1758 () (=> @t1711 @t1757)) % 47.01/47.27 (define @t1759 () (tptp.class_Rings_Olinordered__semiring @t76)) % 47.01/47.27 (define @t1760 () (=> @t1713 @t1757)) % 47.01/47.27 (define @t1761 () (=> @t1712 @t123)) % 47.01/47.27 (define @t1762 () (tptp.hAPP @t1559 @t95)) % 47.01/47.27 (define @t1763 () (tptp.hAPP (tptp.hAPP @t1213 @t1580) (tptp.hAPP @t1762 @t95))) % 47.01/47.27 (define @t1764 () (not @t1342)) % 47.01/47.27 (define @t1765 () (or (not @t673) @t1764)) % 47.01/47.27 (define @t1766 () (tptp.hBOOL (tptp.hAPP @t96 @t1456))) % 47.01/47.27 (define @t1767 () (tptp.hBOOL (tptp.hAPP @t1338 @t95))) % 47.01/47.27 (define @t1768 () (tptp.hBOOL (tptp.hAPP @t1338 @t75))) % 47.01/47.27 (define @t1769 () (tptp.hAPP @t1762 @t75)) % 47.01/47.27 (define @t1770 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1727) @t1726))) % 47.01/47.27 (define @t1771 () (tptp.class_Rings_Oordered__ring @t15)) % 47.01/47.27 (define @t1772 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1727) @t1726))) % 47.01/47.27 (define @t1773 () (tptp.hAPP @t1223 @t1553)) % 47.01/47.27 (define @t1774 () (tptp.hAPP @t1656 @t1547)) % 47.01/47.27 (define @t1775 () (tptp.hAPP @t816 @t904)) % 47.01/47.27 (define @t1776 () (tptp.hBOOL (tptp.hAPP @t1775 @t488))) % 47.01/47.27 (define @t1777 () (tptp.hBOOL (tptp.hAPP @t1775 @t369))) % 47.01/47.27 (define @t1778 () (tptp.hAPP @t1642 @t488)) % 47.01/47.27 (define @t1779 () (tptp.hAPP @t489 @t904)) % 47.01/47.27 (define @t1780 () (=> @t1741 @t503)) % 47.01/47.27 (define @t1781 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1632) @t1631))) % 47.01/47.27 (define @t1782 () (tptp.hAPP @t1538 @t899)) % 47.01/47.27 (define @t1783 () (tptp.hAPP (tptp.hAPP @t1398 (tptp.hAPP (tptp.hAPP @t1397 @t1537) @t1)) @t899)) % 47.01/47.27 (define @t1784 () (tptp.hAPP @t2 @t261)) % 47.01/47.27 (define @t1785 () (tptp.hAPP @t1223 @t1774)) % 47.01/47.27 (define @t1786 () (tptp.hAPP @t1656 @t1733)) % 47.01/47.27 (define @t1787 () (tptp.hAPP @t816 @t261)) % 47.01/47.27 (define @t1788 () (tptp.hBOOL (tptp.hAPP @t1787 @t496))) % 47.01/47.27 (define @t1789 () (@list @t2 @t496 @t260 @t15)) % 47.01/47.27 (define @t1790 () (@var "V_v" $$unsorted)) % 47.01/47.27 (define @t1791 () (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP (tptp.hAPP @t1559 @t366) @t75)) (tptp.hAPP (tptp.hAPP @t1559 @t1790) @t95))) % 47.01/47.27 (define @t1792 () (= (tptp.hAPP (tptp.hAPP @t1213 @t366) @t1790) @t1456)) % 47.01/47.27 (define @t1793 () (tptp.hBOOL (tptp.hAPP @t1338 @t1790))) % 47.01/47.27 (define @t1794 () (tptp.hBOOL (tptp.hAPP @t1338 @t366))) % 47.01/47.27 (define @t1795 () (@list @t1790 @t366 @t95 @t112 @t75 @t76)) % 47.01/47.27 (define @t1796 () (@var "V_p_2" $$unsorted)) % 47.01/47.27 (define @t1797 () (tptp.hAPP @t1451 @t1796)) % 47.01/47.27 (define @t1798 () (tptp.hAPP @t1539 @t202)) % 47.01/47.27 (define @t1799 () (tptp.hAPP @t1798 @t51)) % 47.01/47.27 (define @t1800 () (tptp.class_Groups_Oab__semigroup__mult @t71)) % 47.01/47.27 (define @t1801 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 (tptp.hAPP (tptp.hAPP @t643 @t1144) @t1374)) @t1486)) @t496)) % 47.01/47.27 (define @t1802 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t1374) @t1486)) @t260)) % 47.01/47.27 (define @t1803 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t1144) @t1486)) @t496)) % 47.01/47.27 (define @t1804 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1803) @t1802))) % 47.01/47.27 (define @t1805 () (tptp.hBOOL (tptp.hAPP @t1392 @t1144))) % 47.01/47.27 (define @t1806 () (@list @t260 @t496 @t1486 @t1144 @t1374)) % 47.01/47.27 (define @t1807 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t1388) @t1486)) @t260)) % 47.01/47.27 (define @t1808 () (@list @t260 @t496 @t1486 @t1374 @t1144)) % 47.01/47.27 (define @t1809 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t520 @t260)) % 47.01/47.27 (define @t1810 () (tptp.hBOOL (tptp.hAPP @t1477 @t1809))) % 47.01/47.27 (define @t1811 () (tptp.hBOOL (tptp.hAPP @t35 @t905))) % 47.01/47.27 (define @t1812 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t905) @t260))) % 47.01/47.27 (define @t1813 () (@list @t35 @t260)) % 47.01/47.27 (define @t1814 () (= @t1803 @t1802)) % 47.01/47.27 (define @t1815 () (tptp.hAPP @t878 @t559)) % 47.01/47.27 (define @t1816 () (tptp.hAPP @t1274 (tptp.hAPP @t1645 @t366))) % 47.01/47.27 (define @t1817 () (tptp.hAPP @t1274 (tptp.hAPP @t1646 @t366))) % 47.01/47.27 (define @t1818 () (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP @t1817 @t488)) (tptp.hAPP @t1816 @t369))) % 47.01/47.27 (define @t1819 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1803) @t1802))) % 47.01/47.27 (define @t1820 () (tptp.hBOOL (tptp.hAPP @t562 @t559))) % 47.01/47.27 (define @t1821 () (tptp.hAPP @t652 @t1449)) % 47.01/47.27 (define @t1822 () (tptp.hAPP @t1274 @t290)) % 47.01/47.27 (define @t1823 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1824 () (tptp.hAPP @t1823 @t260)) % 47.01/47.27 (define @t1825 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1826 () (tptp.hAPP tptp.c_Nat_OSuc @t904)) % 47.01/47.27 (define @t1827 () (@list @t260 @t345 @t290)) % 47.01/47.27 (define @t1828 () (tptp.hAPP (tptp.hAPP @t1538 @t2) @t1536)) % 47.01/47.27 (define @t1829 () (tptp.hAPP @t1828 @t386)) % 47.01/47.27 (define @t1830 () (= @t5 @t1536)) % 47.01/47.27 (define @t1831 () (forall @t7 (=> @t1444 @t1830))) % 47.01/47.27 (define @t1832 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15)) % 47.01/47.27 (define @t1833 () (tptp.hAPP @t1832 @t260)) % 47.01/47.27 (define @t1834 () (tptp.hAPP @t1590 @t1833)) % 47.01/47.27 (define @t1835 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1449 @t260)) % 47.01/47.27 (define @t1836 () (tptp.hAPP @t1590 (tptp.hAPP @t1499 @t1459))) % 47.01/47.27 (define @t1837 () (tptp.class_Rings_Ocomm__semiring__1 @t15)) % 47.01/47.27 (define @t1838 () (@list @t260 @t15)) % 47.01/47.27 (define @t1839 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t1490 @t1486)) % 47.01/47.27 (define @t1840 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t1490 @t1486)) % 47.01/47.27 (define @t1841 () (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t297 @t1490) @t289))) % 47.01/47.27 (define @t1842 () (tptp.hAPP @t130 @t1490)) % 47.01/47.27 (define @t1843 () (tptp.hBOOL (tptp.hAPP @t1842 @t1486))) % 47.01/47.27 (define @t1844 () (@list @t1486 @t1490 @t15)) % 47.01/47.27 (define @t1845 () (tptp.hAPP @t1550 @t35)) % 47.01/47.27 (define @t1846 () (tptp.hAPP (tptp.hAPP @t297 @t1486) @t289)) % 47.01/47.27 (define @t1847 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t1490)) % 47.01/47.27 (define @t1848 () (tptp.hAPP @t1847 @t1486)) % 47.01/47.27 (define @t1849 () (tptp.hAPP @t55 @t1848)) % 47.01/47.27 (define @t1850 () (not @t362)) % 47.01/47.27 (define @t1851 () (tptp.c_Finite__Set_Ofold__graph @t15 @t15 @t1590 @t294 @t51)) % 47.01/47.27 (define @t1852 () (tptp.class_Groups_Oab__semigroup__mult @t15)) % 47.01/47.27 (define @t1853 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1490)) % 47.01/47.27 (define @t1854 () (tptp.hAPP @t1853 @t1486)) % 47.01/47.27 (define @t1855 () (tptp.hAPP @t1823 @t469)) % 47.01/47.27 (define @t1856 () (@list @t469)) % 47.01/47.27 (define @t1857 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1490 @t1486)) % 47.01/47.27 (define @t1858 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t520)) % 47.01/47.27 (define @t1859 () (tptp.hAPP @t1858 @t260)) % 47.01/47.27 (define @t1860 () (tptp.c_SetInterval_Oord__class_OlessThan @t15)) % 47.01/47.27 (define @t1861 () (tptp.hAPP @t1860 @t128)) % 47.01/47.27 (define @t1862 () (tptp.hAPP @t1860 @t47)) % 47.01/47.27 (define @t1863 () (tptp.hAPP @t1832 @t496)) % 47.01/47.27 (define @t1864 () (tptp.class_Nat_Osemiring__char__0 @t15)) % 47.01/47.27 (define @t1865 () (@list @t260 @t496 @t15)) % 47.01/47.27 (define @t1866 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t1867 () (tptp.c_Orderings_Obot__class_Obot @t1866)) % 47.01/47.27 (define @t1868 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t496)) % 47.01/47.27 (define @t1869 () (@list @t496)) % 47.01/47.27 (define @t1870 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1871 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1872 () (tptp.hAPP @t1871 @t260)) % 47.01/47.27 (define @t1873 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1874 () (tptp.hAPP @t1873 @t1872)) % 47.01/47.27 (define @t1875 () (tptp.hAPP @t1871 @t520)) % 47.01/47.27 (define @t1876 () (tptp.hAPP @t1871 @t488)) % 47.01/47.27 (define @t1877 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1878 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1879 () (tptp.hAPP @t1878 @t1877)) % 47.01/47.27 (define @t1880 () (tptp.hAPP @t1871 @t430)) % 47.01/47.27 (define @t1881 () (tptp.hAPP @t1878 @t1615)) % 47.01/47.27 (define @t1882 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1883 () (tptp.hAPP @t1882 @t1615)) % 47.01/47.27 (define @t1884 () (tptp.hBOOL (tptp.hAPP @t1883 @t202))) % 47.01/47.27 (define @t1885 () (@list @t202 @t1615)) % 47.01/47.27 (define @t1886 () (tptp.hAPP @t1871 @t496)) % 47.01/47.27 (define @t1887 () (tptp.hAPP @t1882 @t1886)) % 47.01/47.27 (define @t1888 () (tptp.hAPP @t1871 @t1276)) % 47.01/47.27 (define @t1889 () (tptp.hAPP @t1871 @t369)) % 47.01/47.27 (define @t1890 () (tptp.hAPP @t1878 @t1876)) % 47.01/47.27 (define @t1891 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1892 () (tptp.hAPP (tptp.hAPP @t1891 @t1876) @t1889)) % 47.01/47.27 (define @t1893 () (tptp.hAPP @t1871 @t1744)) % 47.01/47.27 (define @t1894 () (tptp.hAPP @t1871 @t1449)) % 47.01/47.27 (define @t1895 () (tptp.hAPP @t1860 @t1486)) % 47.01/47.27 (define @t1896 () (tptp.hAPP @t1860 @t1490)) % 47.01/47.27 (define @t1897 () (tptp.hAPP @t55 @t1896)) % 47.01/47.27 (define @t1898 () (tptp.hAPP @t962 @t1896)) % 47.01/47.27 (define @t1899 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t281) @t345)) % 47.01/47.27 (define @t1900 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t290) @t294)) % 47.01/47.27 (define @t1901 () (= @t1900 @t1899)) % 47.01/47.27 (define @t1902 () (tptp.c_Finite__Set_Ofold__graph @t15 @t71 @t2 @t202 @t289)) % 47.01/47.27 (define @t1903 () (= @t47 @t202)) % 47.01/47.27 (define @t1904 () (tptp.c_Finite__Set_Ofold__graph @t15 @t71 @t2 @t202 @t51)) % 47.01/47.27 (define @t1905 () (tptp.hBOOL (tptp.hAPP @t1904 @t47))) % 47.01/47.27 (define @t1906 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t15) @t1871) @t2)) % 47.01/47.27 (define @t1907 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t15 tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1908 () (tptp.hAPP (tptp.hAPP @t1907 @t1906) @t51)) % 47.01/47.27 (define @t1909 () (@list @t1486)) % 47.01/47.27 (define @t1910 () (tptp.hBOOL (tptp.hAPP @t1477 @t1859))) % 47.01/47.27 (define @t1911 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t905) @t260))) % 47.01/47.27 (define @t1912 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1144)) % 47.01/47.27 (define @t1913 () (tptp.hAPP @t1912 @t1374)) % 47.01/47.27 (define @t1914 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1866)) % 47.01/47.27 (define @t1915 () (tptp.hAPP @t1871 @t558)) % 47.01/47.27 (define @t1916 () (tptp.hAPP @t1891 @t1915)) % 47.01/47.27 (define @t1917 () (tptp.hAPP @t1882 @t559)) % 47.01/47.27 (define @t1918 () (tptp.hBOOL (tptp.hAPP @t1917 @t561))) % 47.01/47.27 (define @t1919 () (tptp.hAPP @t1882 @t1870)) % 47.01/47.27 (define @t1920 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t76)) % 47.01/47.27 (define @t1921 () (tptp.hAPP @t1920 @t488)) % 47.01/47.27 (define @t1922 () (tptp.hAPP @t1920 @t369)) % 47.01/47.27 (define @t1923 () (@list @t369 @t76)) % 47.01/47.27 (define @t1924 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 47.01/47.27 (define @t1925 () (tptp.hAPP @t712 @t1921)) % 47.01/47.27 (define @t1926 () (tptp.class_Rings_Osemiring__1 @t76)) % 47.01/47.27 (define @t1927 () (tptp.hBOOL (tptp.hAPP @t1925 @t1922))) % 47.01/47.27 (define @t1928 () (tptp.class_Rings_Olinordered__semidom @t15)) % 47.01/47.27 (define @t1929 () (tptp.hAPP @t1739 @t51)) % 47.01/47.27 (define @t1930 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t469) (tptp.hAPP @t1303 @t1929))) % 47.01/47.27 (define @t1931 () (tptp.c_Orderings_Oord__class_Oless__eq @t1866)) % 47.01/47.27 (define @t1932 () (tptp.hAPP @t1931 @t51)) % 47.01/47.27 (define @t1933 () (tptp.hAPP @t643 @t1486)) % 47.01/47.27 (define @t1934 () (tptp.hAPP @t1933 @t1490)) % 47.01/47.27 (define @t1935 () (tptp.hAPP @t173 @t1833)) % 47.01/47.27 (define @t1936 () (= @t1900 @t289)) % 47.01/47.27 (define @t1937 () (not @t762)) % 47.01/47.27 (define @t1938 () (tptp.hAPP @t1868 @t260)) % 47.01/47.27 (define @t1939 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t499)) % 47.01/47.27 (define @t1940 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t496) @t1486)) % 47.01/47.27 (define @t1941 () (tptp.hAPP @t1847 @t496)) % 47.01/47.27 (define @t1942 () (tptp.hAPP @t55 @t1941)) % 47.01/47.27 (define @t1943 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t496) @t1486))) % 47.01/47.27 (define @t1944 () (tptp.hBOOL (tptp.hAPP @t1842 @t496))) % 47.01/47.27 (define @t1945 () (@list @t1486 @t496 @t1490 @t15)) % 47.01/47.27 (define @t1946 () (tptp.c_Finite__Set_Ofold__graph @t15 @t71 @t2 @t202 @t339)) % 47.01/47.27 (define @t1947 () (tptp.hBOOL (tptp.hAPP @t1904 @t128))) % 47.01/47.27 (define @t1948 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t1144)) % 47.01/47.27 (define @t1949 () (tptp.hAPP @t130 @t1144)) % 47.01/47.27 (define @t1950 () (tptp.hAPP @t962 @t1941)) % 47.01/47.27 (define @t1951 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t469 @t1490)) % 47.01/47.27 (define @t1952 () (= @t1951 @t289)) % 47.01/47.27 (define @t1953 () (tptp.hBOOL (tptp.hAPP @t1842 @t469))) % 47.01/47.27 (define @t1954 () (@list @t469 @t1490 @t15)) % 47.01/47.27 (define @t1955 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t15 @t71) @t1832) @t2)) % 47.01/47.27 (define @t1956 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t71 tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t1957 () (tptp.class_Rings_Osemiring__1 @t15)) % 47.01/47.27 (define @t1958 () (not (tptp.hBOOL (tptp.hAPP @t768 @t1490)))) % 47.01/47.27 (define @t1959 () (@list @t1490 @t469 @t15)) % 47.01/47.27 (define @t1960 () (tptp.hAPP @t1732 @t469)) % 47.01/47.27 (define @t1961 () (tptp.hAPP @t1823 @t1448)) % 47.01/47.27 (define @t1962 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t496 @t1486)) % 47.01/47.27 (define @t1963 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t1490 @t496)) % 47.01/47.27 (define @t1964 () (tptp.hAPP @t55 @t1963)) % 47.01/47.27 (define @t1965 () (tptp.hAPP @t962 @t1963)) % 47.01/47.27 (define @t1966 () (tptp.hAPP tptp.c_Nat_OSuc @t1490)) % 47.01/47.27 (define @t1967 () (tptp.hAPP @t1860 @t469)) % 47.01/47.27 (define @t1968 () (tptp.class_Orderings_Oord @t15)) % 47.01/47.27 (define @t1969 () (@list @t469 @t1144 @t15)) % 47.01/47.27 (define @t1970 () (tptp.hAPP @t1656 (tptp.hAPP @t1868 @t1796))) % 47.01/47.27 (define @t1971 () (tptp.hAPP @t1656 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t260) @t1796))) % 47.01/47.27 (define @t1972 () (tptp.hAPP @t1656 @t1938)) % 47.01/47.27 (define @t1973 () (tptp.hAPP @t1223 @t1972)) % 47.01/47.27 (define @t1974 () (tptp.hBOOL (tptp.hAPP @t497 @t1796))) % 47.01/47.27 (define @t1975 () (@list @t2 @t1796 @t260 @t496 @t15)) % 47.01/47.27 (define @t1976 () (tptp.hAPP @t1868 @t261)) % 47.01/47.27 (define @t1977 () (tptp.class_Rings_Oring__1 @t76)) % 47.01/47.27 (define @t1978 () (tptp.hAPP @t714 @t496)) % 47.01/47.27 (define @t1979 () (tptp.hAPP @t1590 @t202)) % 47.01/47.27 (define @t1980 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t496 @t1486)) % 47.01/47.27 (define @t1981 () (tptp.hAPP @t2 @t260)) % 47.01/47.27 (define @t1982 () (tptp.hAPP @t1823 @t261)) % 47.01/47.27 (define @t1983 () (@list @t260 @t2 @t15)) % 47.01/47.27 (define @t1984 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t1490 @t496)) % 47.01/47.27 (define @t1985 () (tptp.hAPP @t55 @t1984)) % 47.01/47.27 (define @t1986 () (tptp.hAPP @t962 @t1984)) % 47.01/47.27 (define @t1987 () (tptp.hAPP (tptp.hAPP @t297 @t469) @t289)) % 47.01/47.27 (define @t1988 () (@list @t469 @t15)) % 47.01/47.27 (define @t1989 () (@list @t128 @t47 @t51 @t202 @t2 @t71 @t15)) % 47.01/47.27 (define @t1990 () (tptp.hAPP @t1656 @t1976)) % 47.01/47.27 (define @t1991 () (tptp.hAPP @t1732 @t520)) % 47.01/47.27 (define @t1992 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t1546 @t281)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t47) @t128))) % 47.01/47.27 (define @t1993 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t47) @t128))) % 47.01/47.27 (define @t1994 () (tptp.hAPP @t1991 @t1867)) % 47.01/47.27 (define @t1995 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t281) @t128))) % 47.01/47.27 (define @t1996 () (tptp.hAPP @t643 @t47)) % 47.01/47.27 (define @t1997 () (tptp.c_COMBC @t15 @t15 @t15)) % 47.01/47.27 (define @t1998 () (tptp.hBOOL (tptp.hAPP @t35 @t1870))) % 47.01/47.27 (define @t1999 () (tptp.hAPP @t1871 @t128)) % 47.01/47.27 (define @t2000 () (tptp.hAPP @t1871 @t47)) % 47.01/47.27 (define @t2001 () (tptp.hAPP @t489 @t128)) % 47.01/47.27 (define @t2002 () (tptp.hAPP @t1996 @t128)) % 47.01/47.27 (define @t2003 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t1490 @t496)) % 47.01/47.27 (define @t2004 () (tptp.hAPP @t55 @t2003)) % 47.01/47.27 (define @t2005 () (tptp.hAPP @t714 @t1490)) % 47.01/47.27 (define @t2006 () (tptp.hBOOL (tptp.hAPP @t2005 @t496))) % 47.01/47.27 (define @t2007 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t1490 @t1486)) % 47.01/47.27 (define @t2008 () (tptp.hAPP @t55 @t2007)) % 47.01/47.27 (define @t2009 () (tptp.hBOOL (tptp.hAPP @t2005 @t1486))) % 47.01/47.27 (define @t2010 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t496 @t1486)) % 47.01/47.27 (define @t2011 () (tptp.hBOOL (tptp.hAPP @t1978 @t1486))) % 47.01/47.27 (define @t2012 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1490 @t1486)) % 47.01/47.27 (define @t2013 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1490 @t1486)) % 47.01/47.27 (define @t2014 () (tptp.hAPP (tptp.hAPP @t1878 @t1490) @t1877)) % 47.01/47.27 (define @t2015 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1490 @t1486)) % 47.01/47.27 (define @t2016 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1490)) % 47.01/47.27 (define @t2017 () (tptp.hAPP @t2016 @t1486)) % 47.01/47.27 (define @t2018 () (tptp.hAPP @t1924 @t1486)) % 47.01/47.27 (define @t2019 () (tptp.hAPP @t2018 @t1490)) % 47.01/47.27 (define @t2020 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1870)) % 47.01/47.27 (define @t2021 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2022 () (tptp.hAPP @t1871 @t429)) % 47.01/47.27 (define @t2023 () (tptp.hAPP @t1873 @t1615)) % 47.01/47.27 (define @t2024 () (tptp.hBOOL (tptp.hAPP @t2023 @t202))) % 47.01/47.27 (define @t2025 () (tptp.hAPP @t1873 @t1870)) % 47.01/47.27 (define @t2026 () (@list @t558)) % 47.01/47.27 (define @t2027 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1490 @t1486)) % 47.01/47.27 (define @t2028 () (tptp.hAPP @t2020 @t1486)) % 47.01/47.27 (define @t2029 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2030 () (tptp.hAPP @t1882 @t202)) % 47.01/47.27 (define @t2031 () (tptp.hBOOL (tptp.hAPP @t2030 @t1870))) % 47.01/47.27 (define @t2032 () (@list @t202)) % 47.01/47.27 (define @t2033 () (tptp.hAPP @t1879 @t101)) % 47.01/47.27 (define @t2034 () (tptp.hBOOL (tptp.hAPP @t2025 @t101))) % 47.01/47.27 (define @t2035 () (@list @t101)) % 47.01/47.27 (define @t2036 () (= @t1615 @t202)) % 47.01/47.27 (define @t2037 () (tptp.hBOOL (tptp.hAPP @t1883 (tptp.hAPP (tptp.hAPP @t1878 @t202) @t1877)))) % 47.01/47.27 (define @t2038 () (@var "V_w" $$unsorted)) % 47.01/47.27 (define @t2039 () (tptp.hAPP @t1878 @t2038)) % 47.01/47.27 (define @t2040 () (@list @t101 @t2038)) % 47.01/47.27 (define @t2041 () (tptp.hBOOL (tptp.hAPP @t1919 @t202))) % 47.01/47.27 (define @t2042 () (tptp.hAPP @t1873 @t1877)) % 47.01/47.27 (define @t2043 () (tptp.hAPP @t1924 @t202)) % 47.01/47.27 (define @t2044 () (tptp.hAPP @t1882 @t469)) % 47.01/47.27 (define @t2045 () (tptp.hBOOL (tptp.hAPP @t2044 @t1490))) % 47.01/47.27 (define @t2046 () (@list @t1490 @t469)) % 47.01/47.27 (define @t2047 () (tptp.hAPP @t1882 @t95)) % 47.01/47.27 (define @t2048 () (tptp.hAPP @t1882 @t75)) % 47.01/47.27 (define @t2049 () (tptp.hAPP @t1873 @t202)) % 47.01/47.27 (define @t2050 () (@list @t1615 @t202)) % 47.01/47.27 (define @t2051 () (tptp.hAPP @t1873 @t2038)) % 47.01/47.27 (define @t2052 () (tptp.hBOOL (tptp.hAPP @t2051 @t101))) % 47.01/47.27 (define @t2053 () (tptp.hAPP @t1873 @t101)) % 47.01/47.27 (define @t2054 () (tptp.hBOOL (tptp.hAPP @t2053 @t2038))) % 47.01/47.27 (define @t2055 () (@list @t2038 @t101)) % 47.01/47.27 (define @t2056 () (tptp.hAPP @t1873 @t559)) % 47.01/47.27 (define @t2057 () (tptp.hBOOL (tptp.hAPP @t2056 @t561))) % 47.01/47.27 (define @t2058 () (@list @t2038)) % 47.01/47.27 (define @t2059 () (tptp.hAPP @t1878 @t101)) % 47.01/47.27 (define @t2060 () (@var "V_z3" $$unsorted)) % 47.01/47.27 (define @t2061 () (@var "V_z2" $$unsorted)) % 47.01/47.27 (define @t2062 () (@var "V_z1" $$unsorted)) % 47.01/47.27 (define @t2063 () (tptp.hAPP @t1878 @t2062)) % 47.01/47.27 (define @t2064 () (tptp.hAPP @t2063 @t2061)) % 47.01/47.27 (define @t2065 () (@list @t2060 @t2061 @t2062)) % 47.01/47.27 (define @t2066 () (tptp.hAPP @t1878 @t75)) % 47.01/47.27 (define @t2067 () (tptp.hAPP @t1878 @t95)) % 47.01/47.27 (define @t2068 () (tptp.hAPP @t2039 @t101)) % 47.01/47.27 (define @t2069 () (tptp.hAPP @t2059 @t2038)) % 47.01/47.27 (define @t2070 () (tptp.hAPP @t1878 @t558)) % 47.01/47.27 (define @t2071 () (@var "V_z_H" $$unsorted)) % 47.01/47.27 (define @t2072 () (@var "V_w_H" $$unsorted)) % 47.01/47.27 (define @t2073 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t2071) @t101))) % 47.01/47.27 (define @t2074 () (tptp.hAPP @t1878 @t559)) % 47.01/47.27 (define @t2075 () (tptp.hAPP (tptp.hAPP @t1878 @t1144) @t1877)) % 47.01/47.27 (define @t2076 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1144 @t1374)) % 47.01/47.27 (define @t2077 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1374) @t1144))) % 47.01/47.27 (define @t2078 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2079 () (tptp.c_Orderings_Obot__class_Obot @t2078)) % 47.01/47.27 (define @t2080 () (tptp.hAPP @t1891 @t101)) % 47.01/47.27 (define @t2081 () (and (= @t496 @t1877) (= @t260 @t1877))) % 47.01/47.27 (define @t2082 () (= (tptp.hAPP (tptp.hAPP @t1891 @t496) @t260) @t1877)) % 47.01/47.27 (define @t2083 () (tptp.hAPP @t1891 @t558)) % 47.01/47.27 (define @t2084 () (tptp.hBOOL (tptp.hAPP @t1919 @t558))) % 47.01/47.27 (define @t2085 () (tptp.hAPP @t1891 @t2061)) % 47.01/47.27 (define @t2086 () (tptp.hAPP @t2085 @t2038)) % 47.01/47.27 (define @t2087 () (tptp.hAPP @t1891 @t2062)) % 47.01/47.27 (define @t2088 () (tptp.hAPP @t2087 @t2038)) % 47.01/47.27 (define @t2089 () (tptp.hAPP (tptp.hAPP @t1924 @t2062) @t2061)) % 47.01/47.27 (define @t2090 () (@list @t2038 @t2061 @t2062)) % 47.01/47.27 (define @t2091 () (tptp.hAPP @t1891 @t2038)) % 47.01/47.27 (define @t2092 () (tptp.hAPP @t2091 @t2061)) % 47.01/47.27 (define @t2093 () (tptp.hAPP @t2091 @t2062)) % 47.01/47.27 (define @t2094 () (@list @t2061 @t2062 @t2038)) % 47.01/47.27 (define @t2095 () (tptp.hAPP @t2091 @t101)) % 47.01/47.27 (define @t2096 () (tptp.hAPP @t2080 @t2038)) % 47.01/47.27 (define @t2097 () (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t51)) % 47.01/47.27 (define @t2098 () (@var "V_inc_2" $$unsorted)) % 47.01/47.27 (define @t2099 () (tptp.hAPP @t962 @t2003)) % 47.01/47.27 (define @t2100 () (@var "V_q" $$unsorted)) % 47.01/47.27 (define @t2101 () (tptp.hAPP @t1882 @t1718)) % 47.01/47.27 (define @t2102 () (tptp.hAPP @t1891 @t112)) % 47.01/47.27 (define @t2103 () (tptp.hAPP @t2102 @t2100)) % 47.01/47.27 (define @t2104 () (= @t112 (tptp.hAPP (tptp.hAPP @t1878 @t1718) @t2103))) % 47.01/47.27 (define @t2105 () (tptp.hBOOL (tptp.hAPP @t1919 @t112))) % 47.01/47.27 (define @t2106 () (@list @t2100 @t1718 @t112)) % 47.01/47.27 (define @t2107 () (tptp.hAPP @t1873 @t2100)) % 47.01/47.27 (define @t2108 () (tptp.hBOOL (tptp.hAPP @t2025 @t1718))) % 47.01/47.27 (define @t2109 () (@var "V_q_H" $$unsorted)) % 47.01/47.27 (define @t2110 () (@var "V_b_H" $$unsorted)) % 47.01/47.27 (define @t2111 () (tptp.hBOOL (tptp.hAPP @t1919 @t2110))) % 47.01/47.27 (define @t2112 () (@var "V_r_H" $$unsorted)) % 47.01/47.27 (define @t2113 () (tptp.hAPP @t1882 @t2112)) % 47.01/47.27 (define @t2114 () (tptp.hBOOL (tptp.hAPP @t2113 @t2110))) % 47.01/47.27 (define @t2115 () (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP (tptp.hAPP @t1891 @t2110) @t2109)) @t2112)) % 47.01/47.27 (define @t2116 () (tptp.hBOOL (tptp.hAPP @t2025 @t2115))) % 47.01/47.27 (define @t2117 () (@list @t2112 @t2109 @t2110)) % 47.01/47.27 (define @t2118 () (tptp.hAPP @t1873 @t2109)) % 47.01/47.27 (define @t2119 () (tptp.hBOOL (tptp.hAPP @t2025 @t2112))) % 47.01/47.27 (define @t2120 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2115) @t1870))) % 47.01/47.27 (define @t2121 () (tptp.hBOOL (tptp.hAPP @t2118 @t2100))) % 47.01/47.27 (define @t2122 () (tptp.hBOOL (tptp.hAPP @t2101 @t116))) % 47.01/47.27 (define @t2123 () (tptp.hAPP @t1891 @t116)) % 47.01/47.27 (define @t2124 () (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2123 @t2100)) @t1718)) % 47.01/47.27 (define @t2125 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2123 @t2109)) @t2112)) @t2124))) % 47.01/47.27 (define @t2126 () (@list @t1718 @t2100 @t2112 @t2109 @t116)) % 47.01/47.27 (define @t2127 () (tptp.hBOOL (tptp.hAPP @t2107 @t2109))) % 47.01/47.27 (define @t2128 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t2110) @t116))) % 47.01/47.27 (define @t2129 () (= @t2124 @t2115)) % 47.01/47.27 (define @t2130 () (@list @t2112 @t2109 @t2110 @t1718 @t2100 @t116)) % 47.01/47.27 (define @t2131 () (tptp.hAPP @t1882 @t116)) % 47.01/47.27 (define @t2132 () (tptp.hBOOL (tptp.hAPP @t2131 @t1718))) % 47.01/47.27 (define @t2133 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1718) @t1870))) % 47.01/47.27 (define @t2134 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1871)) % 47.01/47.27 (define @t2135 () (tptp.hAPP @t2134 @t51)) % 47.01/47.27 (define @t2136 () (@list @t51)) % 47.01/47.27 (define @t2137 () (tptp.hAPP (tptp.hAPP @t1625 @t75) @t95)) % 47.01/47.27 (define @t2138 () (tptp.hAPP @t1871 @t95)) % 47.01/47.27 (define @t2139 () (tptp.hAPP @t1871 @t75)) % 47.01/47.27 (define @t2140 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t47) @t128))) % 47.01/47.27 (define @t2141 () (@list @t128 @t47)) % 47.01/47.27 (define @t2142 () (tptp.c_member tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2143 () (tptp.hAPP @t1476 @t47)) % 47.01/47.27 (define @t2144 () (@list @t51 @t47)) % 47.01/47.27 (define @t2145 () (tptp.hAPP @t2134 @t48)) % 47.01/47.27 (define @t2146 () (@list @t48 @t51)) % 47.01/47.27 (define @t2147 () (tptp.c_Orderings_Oord__class_Oless @t2078)) % 47.01/47.27 (define @t2148 () (tptp.c_Orderings_Oord__class_Oless @t1866)) % 47.01/47.27 (define @t2149 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2150 () (tptp.c_Orderings_Oord__class_Oless__eq @t2078)) % 47.01/47.27 (define @t2151 () (tptp.hAPP @t2066 @t95)) % 47.01/47.27 (define @t2152 () (tptp.hBOOL (tptp.hAPP @t2025 @t95))) % 47.01/47.27 (define @t2153 () (tptp.hBOOL (tptp.hAPP @t2025 @t75))) % 47.01/47.27 (define @t2154 () (tptp.hAPP @t1871 @t101)) % 47.01/47.27 (define @t2155 () (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t1871 @t3)))) % 47.01/47.27 (define @t2156 () (tptp.hBOOL (tptp.hAPP @t2025 @t3))) % 47.01/47.27 (define @t2157 () (@list @t35)) % 47.01/47.27 (define @t2158 () (tptp.hAPP (tptp.hAPP @t1891 @t75) @t95)) % 47.01/47.27 (define @t2159 () (tptp.hAPP @t1924 @t3)) % 47.01/47.27 (define @t2160 () (tptp.hAPP @t2159 @t230)) % 47.01/47.27 (define @t2161 () (tptp.hAPP @t1873 @t393)) % 47.01/47.27 (define @t2162 () (tptp.hBOOL (tptp.hAPP @t2161 @t3))) % 47.01/47.27 (define @t2163 () (@var "B_xb" $$unsorted)) % 47.01/47.27 (define @t2164 () (tptp.hAPP @t2142 @t2163)) % 47.01/47.27 (define @t2165 () (@list @t2163)) % 47.01/47.27 (define @t2166 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1877 @t230)) % 47.01/47.27 (define @t2167 () (tptp.hAPP @t2142 @t422)) % 47.01/47.27 (define @t2168 () (tptp.hBOOL (tptp.hAPP @t2167 @t2166))) % 47.01/47.27 (define @t2169 () (forall @t426 (=> @t2168 (forall @t2165 (=> (tptp.hBOOL (tptp.hAPP @t2164 @t48)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1878 @t2163) @t422)))))))) % 47.01/47.27 (define @t2170 () (tptp.hAPP @t1924 @t393)) % 47.01/47.27 (define @t2171 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2142 (tptp.hAPP @t2170 @t1877)) @t48))) % 47.01/47.27 (define @t2172 () (tptp.hBOOL (tptp.hAPP @t1919 @t230))) % 47.01/47.27 (define @t2173 () (@list @t48 @t393 @t230)) % 47.01/47.27 (define @t2174 () (tptp.hAPP @t1878 @t3)) % 47.01/47.27 (define @t2175 () (tptp.hAPP @t2174 @t230)) % 47.01/47.27 (define @t2176 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3) @t393))) % 47.01/47.27 (define @t2177 () (forall @t426 (=> @t2168 (forall @t2165 (=> (tptp.hBOOL (tptp.hAPP @t2164 @t51)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1924 @t2163) @t422)))))))) % 47.01/47.27 (define @t2178 () (tptp.hAPP @t1878 @t393)) % 47.01/47.27 (define @t2179 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2142 (tptp.hAPP @t2178 @t1877)) @t51))) % 47.01/47.27 (define @t2180 () (@list @t51 @t393 @t230)) % 47.01/47.27 (define @t2181 () (@list @t393 @t48 @t230)) % 47.01/47.27 (define @t2182 () (@list @t393 @t51 @t230)) % 47.01/47.27 (define @t2183 () (tptp.hAPP @t2142 @t3)) % 47.01/47.27 (define @t2184 () (tptp.hAPP @t1919 @t345)) % 47.01/47.27 (define @t2185 () (tptp.hBOOL @t2184)) % 47.01/47.27 (define @t2186 () (tptp.hBOOL (tptp.hAPP @t2183 @t2166))) % 47.01/47.27 (define @t2187 () (not (= @t3 @t393))) % 47.01/47.27 (define @t2188 () (tptp.hAPP @t2142 @t393)) % 47.01/47.27 (define @t2189 () (tptp.hBOOL (tptp.hAPP @t2188 @t51))) % 47.01/47.27 (define @t2190 () (tptp.hBOOL (tptp.hAPP @t2188 @t48))) % 47.01/47.27 (define @t2191 () (tptp.hAPP @t1882 @t393)) % 47.01/47.27 (define @t2192 () (tptp.hBOOL (tptp.hAPP @t2191 @t3))) % 47.01/47.27 (define @t2193 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3) @t393))) % 47.01/47.27 (define @t2194 () (tptp.c_Nat__Transfer_Otsub @t75 @t95)) % 47.01/47.27 (define @t2195 () (tptp.hAPP @t1873 @t95)) % 47.01/47.27 (define @t2196 () (tptp.hBOOL (tptp.hAPP @t2195 @t75))) % 47.01/47.27 (define @t2197 () (tptp.hAPP @t1924 @t75)) % 47.01/47.27 (define @t2198 () (tptp.hAPP @t2197 @t95)) % 47.01/47.27 (define @t2199 () (=> @t2196 (= @t2194 @t2198))) % 47.01/47.27 (define @t2200 () (@list @t75 @t95)) % 47.01/47.27 (define @t2201 () (tptp.hAPP tptp.c_Int_Onat @t1486)) % 47.01/47.27 (define @t2202 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2203 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2204 () (tptp.hAPP @t34 @t3)) % 47.01/47.27 (define @t2205 () (tptp.hAPP @t1891 @t469)) % 47.01/47.27 (define @t2206 () (tptp.hAPP @t2205 @t345)) % 47.01/47.27 (define @t2207 () (tptp.hAPP @t2025 @t469)) % 47.01/47.27 (define @t2208 () (tptp.hBOOL @t2207)) % 47.01/47.27 (define @t2209 () (@list @t469 @t35 @t345)) % 47.01/47.27 (define @t2210 () (tptp.hAPP tptp.c_Int_Onat @t1870)) % 47.01/47.27 (define @t2211 () (tptp.hAPP tptp.c_Int_Onat @t95)) % 47.01/47.27 (define @t2212 () (tptp.hAPP tptp.c_Int_Onat @t75)) % 47.01/47.27 (define @t2213 () (@var "V_z_H_2" $$unsorted)) % 47.01/47.27 (define @t2214 () (tptp.hAPP tptp.c_Int_Onat @t2213)) % 47.01/47.27 (define @t2215 () (tptp.hAPP tptp.c_Int_Onat @t202)) % 47.01/47.27 (define @t2216 () (tptp.hBOOL (tptp.hAPP @t2025 @t202))) % 47.01/47.27 (define @t2217 () (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 47.01/47.27 (define @t2218 () (tptp.hAPP tptp.c_Int_Onat @t128)) % 47.01/47.27 (define @t2219 () (tptp.hAPP tptp.c_Int_Onat @t47)) % 47.01/47.27 (define @t2220 () (tptp.hBOOL (tptp.hAPP @t2025 @t128))) % 47.01/47.27 (define @t2221 () (tptp.hBOOL (tptp.hAPP @t2025 @t47))) % 47.01/47.27 (define @t2222 () (tptp.hAPP tptp.c_Int_Onat @t1877)) % 47.01/47.27 (define @t2223 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 47.01/47.27 (define @t2224 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2078)) % 47.01/47.27 (define @t2225 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1866)) % 47.01/47.27 (define @t2226 () (tptp.hAPP @t1873 @t1144)) % 47.01/47.27 (define @t2227 () (tptp.hBOOL (tptp.hAPP @t2226 @t1870))) % 47.01/47.27 (define @t2228 () (tptp.hAPP tptp.c_Int_Onat @t1144)) % 47.01/47.27 (define @t2229 () (@list @t1144)) % 47.01/47.27 (define @t2230 () (tptp.hAPP tptp.c_Int_Onat @t101)) % 47.01/47.27 (define @t2231 () (= @t2230 @t520)) % 47.01/47.27 (define @t2232 () (tptp.hBOOL (tptp.hAPP @t2053 @t1870))) % 47.01/47.27 (define @t2233 () (tptp.hAPP tptp.c_Int_Onat @t1615)) % 47.01/47.27 (define @t2234 () (tptp.hAPP @t816 @t2233)) % 47.01/47.27 (define @t2235 () (tptp.hBOOL (tptp.hAPP @t2234 @t2215))) % 47.01/47.27 (define @t2236 () (= @t2235 @t1884)) % 47.01/47.27 (define @t2237 () (tptp.hAPP @t1873 @t47)) % 47.01/47.27 (define @t2238 () (tptp.hBOOL (tptp.hAPP @t2237 @t128))) % 47.01/47.27 (define @t2239 () (tptp.hAPP @t1871 @t2230)) % 47.01/47.27 (define @t2240 () (= @t2239 @t101)) % 47.01/47.27 (define @t2241 () (=> @t2034 @t2240)) % 47.01/47.27 (define @t2242 () (@list @t202 @t496)) % 47.01/47.27 (define @t2243 () (tptp.c_COMBB tptp.tc_Nat_Onat @t15 tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2244 () (tptp.hAPP @t2243 @t2)) % 47.01/47.27 (define @t2245 () (tptp.hAPP @t2244 tptp.c_Int_Onat)) % 47.01/47.27 (define @t2246 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t15)) % 47.01/47.27 (define @t2247 () (tptp.class_Groups_Ocomm__monoid__mult @t15)) % 47.01/47.27 (define @t2248 () (and @t834 @t2247)) % 47.01/47.27 (define @t2249 () (tptp.hAPP tptp.c_Int_Onat @t2019)) % 47.01/47.27 (define @t2250 () (tptp.hBOOL (tptp.hAPP @t2025 @t1615))) % 47.01/47.27 (define @t2251 () (tptp.hAPP @t1882 @t47)) % 47.01/47.27 (define @t2252 () (tptp.hBOOL (tptp.hAPP @t2251 @t128))) % 47.01/47.27 (define @t2253 () (and (=> @t2250 (= @t1615 @t1886)) (=> (not @t2250) @t903))) % 47.01/47.27 (define @t2254 () (@list @t496 @t1615)) % 47.01/47.27 (define @t2255 () (tptp.hAPP @t1882 @t1144)) % 47.01/47.27 (define @t2256 () (@list @t1144 @t35)) % 47.01/47.27 (define @t2257 () (tptp.hAPP tptp.c_Int_Onat @t2071)) % 47.01/47.27 (define @t2258 () (tptp.hBOOL (tptp.hAPP @t2025 @t2071))) % 47.01/47.27 (define @t2259 () (@list @t2071 @t101)) % 47.01/47.27 (define @t2260 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2080 @t2071))) % 47.01/47.27 (define @t2261 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2078)) % 47.01/47.27 (define @t2262 () (tptp.hAPP @t1924 @t101)) % 47.01/47.27 (define @t2263 () (tptp.hAPP @t1882 @t1877)) % 47.01/47.27 (define @t2264 () (tptp.hAPP @t2223 @t48)) % 47.01/47.27 (define @t2265 () (tptp.hAPP @t2223 @t51)) % 47.01/47.27 (define @t2266 () (tptp.hAPP (tptp.hAPP @t2261 @t51) @t48)) % 47.01/47.27 (define @t2267 () (tptp.c_Nat__Transfer_Onat__set @t48)) % 47.01/47.27 (define @t2268 () (tptp.c_Nat__Transfer_Onat__set @t51)) % 47.01/47.27 (define @t2269 () (tptp.hBOOL (tptp.hAPP @t822 @t429))) % 47.01/47.27 (define @t2270 () (tptp.c_Nat__Transfer_Ois__nat @t47)) % 47.01/47.27 (define @t2271 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2142 @t47) @t51))) % 47.01/47.27 (define @t2272 () (@list @t47 @t51)) % 47.01/47.27 (define @t2273 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t47 @t128))) % 47.01/47.27 (define @t2274 () (tptp.hAPP (tptp.hAPP @t2224 @t51) @t48)) % 47.01/47.27 (define @t2275 () (tptp.c_Nat__Transfer_Ois__nat @t95)) % 47.01/47.27 (define @t2276 () (tptp.c_Nat__Transfer_Ois__nat @t75)) % 47.01/47.27 (define @t2277 () (@list @t47)) % 47.01/47.27 (define @t2278 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t15 tptp.tc_Nat_Onat) @t2) @t1871)) % 47.01/47.27 (define @t2279 () (tptp.hAPP @t2246 @t2)) % 47.01/47.27 (define @t2280 () (tptp.hAPP @t2279 @t51)) % 47.01/47.27 (define @t2281 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t15) tptp.c_Int_Onat) @t2)) % 47.01/47.27 (define @t2282 () (forall @t7 (=> @t176 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 47.01/47.27 (define @t2283 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2284 () (tptp.hAPP @t2283 @t260)) % 47.01/47.27 (define @t2285 () (tptp.c_SetInterval_Oord__class_OatMost @t15)) % 47.01/47.27 (define @t2286 () (tptp.hAPP @t2285 @t1490)) % 47.01/47.27 (define @t2287 () (tptp.hAPP @t55 @t2286)) % 47.01/47.27 (define @t2288 () (tptp.hAPP @t2285 @t1486)) % 47.01/47.27 (define @t2289 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2290 () (tptp.hAPP (tptp.hAPP @t1891 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2289 (tptp.hAPP @t2197 @t101))) @t1877)) @t193)) % 47.01/47.27 (define @t2291 () (tptp.hBOOL (tptp.hAPP @t1919 @t193))) % 47.01/47.27 (define @t2292 () (tptp.hAPP @t2283 @t469)) % 47.01/47.27 (define @t2293 () (tptp.c_Groups_Oabs__class_Oabs @t15)) % 47.01/47.27 (define @t2294 () (tptp.hAPP (tptp.hAPP @t1672 @t2293) @t2)) % 47.01/47.27 (define @t2295 () (tptp.hAPP (tptp.hAPP @t826 @t2294) @t51)) % 47.01/47.27 (define @t2296 () (tptp.class_Groups_Oordered__ab__group__add__abs @t15)) % 47.01/47.27 (define @t2297 () (tptp.hAPP @t2285 @t128)) % 47.01/47.27 (define @t2298 () (tptp.hAPP @t2285 @t47)) % 47.01/47.27 (define @t2299 () (tptp.c_Groups_Oabs__class_Oabs @t76)) % 47.01/47.27 (define @t2300 () (tptp.hAPP @t2299 @t112)) % 47.01/47.27 (define @t2301 () (tptp.class_Groups_Oordered__ab__group__add__abs @t76)) % 47.01/47.27 (define @t2302 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2300) @t116))) % 47.01/47.27 (define @t2303 () (tptp.hAPP @t2293 @t290)) % 47.01/47.27 (define @t2304 () (tptp.hAPP @t2299 @t116)) % 47.01/47.27 (define @t2305 () (tptp.hAPP (tptp.hAPP @t1213 @t2300) @t2304)) % 47.01/47.27 (define @t2306 () (tptp.hAPP @t1559 @t2300)) % 47.01/47.27 (define @t2307 () (tptp.hAPP @t2306 @t2304)) % 47.01/47.27 (define @t2308 () (= (tptp.hAPP @t2299 @t1577) @t2307)) % 47.01/47.27 (define @t2309 () (tptp.hAPP @t637 @t116)) % 47.01/47.27 (define @t2310 () (tptp.hAPP @t2309 @t112)) % 47.01/47.27 (define @t2311 () (tptp.hAPP @t2299 @t2310)) % 47.01/47.27 (define @t2312 () (tptp.hAPP @t2299 @t1272)) % 47.01/47.27 (define @t2313 () (tptp.hAPP @t130 @t2303)) % 47.01/47.27 (define @t2314 () (= @t2300 @t112)) % 47.01/47.27 (define @t2315 () (tptp.hAPP @t712 @t2300)) % 47.01/47.27 (define @t2316 () (not @t1261)) % 47.01/47.27 (define @t2317 () (tptp.hAPP (tptp.hAPP @t637 @t2300) @t2304)) % 47.01/47.27 (define @t2318 () (tptp.hAPP @t77 @t2317)) % 47.01/47.27 (define @t2319 () (tptp.hAPP (tptp.hAPP @t1891 @t488) @t369)) % 47.01/47.27 (define @t2320 () (tptp.hAPP @t1732 @t1448)) % 47.01/47.27 (define @t2321 () (tptp.hAPP @t2285 @t469)) % 47.01/47.27 (define @t2322 () (= @t202 @t1870)) % 47.01/47.27 (define @t2323 () (tptp.hAPP @t962 @t2286)) % 47.01/47.27 (define @t2324 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2289 @t95))) % 47.01/47.27 (define @t2325 () (tptp.hAPP @t2289 @t75)) % 47.01/47.27 (define @t2326 () (tptp.hAPP tptp.c_Int_Onat @t2325)) % 47.01/47.27 (define @t2327 () (tptp.c_SetInterval_Oord__class_OatLeast @t15)) % 47.01/47.27 (define @t2328 () (forall @t7 (=> @t2156 @t6))) % 47.01/47.27 (define @t2329 () (@list @t1 @t2 @t48 @t51 @t15)) % 47.01/47.27 (define @t2330 () (tptp.c_Finite__Set_Ofold__graph @t15 @t15 @t2 @t935 @t1164)) % 47.01/47.27 (define @t2331 () (tptp.hAPP @t1163 @t1164)) % 47.01/47.27 (define @t2332 () (tptp.hAPP @t297 @t278)) % 47.01/47.27 (define @t2333 () (tptp.hAPP @t2332 @t277)) % 47.01/47.27 (define @t2334 () (tptp.hAPP @t318 @t508)) % 47.01/47.27 (define @t2335 () (= @t949 @t469)) % 47.01/47.27 (define @t2336 () (tptp.hBOOL (tptp.hAPP @t1535 @t260))) % 47.01/47.27 (define @t2337 () (tptp.hAPP @t1873 @t469)) % 47.01/47.27 (define @t2338 () (tptp.hBOOL (tptp.hAPP @t2337 @t1981))) % 47.01/47.27 (define @t2339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.hAPP @t2289 (tptp.hAPP (tptp.hAPP @t1924 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t1274 @t948) @t1449))) @t949))) @t1877))) % 47.01/47.27 (define @t2340 () (tptp.hAPP @t816 @t948)) % 47.01/47.27 (define @t2341 () (tptp.hBOOL (tptp.hAPP @t2340 @t260))) % 47.01/47.27 (define @t2342 () (tptp.hAPP @t2327 @t128)) % 47.01/47.27 (define @t2343 () (tptp.hAPP @t2327 @t47)) % 47.01/47.27 (define @t2344 () (tptp.hAPP @t2327 @t469)) % 47.01/47.27 (define @t2345 () (tptp.hAPP @t2327 @t1490)) % 47.01/47.27 (define @t2346 () (tptp.hAPP @t2327 @t1486)) % 47.01/47.27 (define @t2347 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2348 () (tptp.c_Groups_Ominus__class_Ominus @t1866)) % 47.01/47.27 (define @t2349 () (tptp.hAPP @t2347 @t1448)) % 47.01/47.27 (define @t2350 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t15)) % 47.01/47.27 (define @t2351 () (tptp.hAPP @t2350 @t1490)) % 47.01/47.27 (define @t2352 () (tptp.hAPP @t2350 @t1486)) % 47.01/47.27 (define @t2353 () (tptp.c_Finite__Set_Ofold1 @t15 @t1590)) % 47.01/47.27 (define @t2354 () (tptp.hAPP @t2353 @t51)) % 47.01/47.27 (define @t2355 () (= (tptp.hAPP @t2353 @t57) (tptp.hAPP (tptp.hAPP @t1590 @t2354) (tptp.hAPP @t2353 @t48)))) % 47.01/47.27 (define @t2356 () (= (tptp.hAPP @t2353 @t339) (tptp.hAPP @t1616 @t2354))) % 47.01/47.27 (define @t2357 () (tptp.hAPP @t2350 @t128)) % 47.01/47.27 (define @t2358 () (tptp.hAPP @t2350 @t47)) % 47.01/47.27 (define @t2359 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2360 () (tptp.hAPP @t2359 @t469)) % 47.01/47.27 (define @t2361 () (tptp.c_Finite__Set_Ofold1 @t15 @t2)) % 47.01/47.27 (define @t2362 () (tptp.hAPP @t2361 @t51)) % 47.01/47.27 (define @t2363 () (=> @t928 (= @t1099 @t2362))) % 47.01/47.27 (define @t2364 () (tptp.hAPP @t2350 @t469)) % 47.01/47.27 (define @t2365 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t15 @t975) @t51)) % 47.01/47.27 (define @t2366 () (tptp.hBOOL (tptp.hAPP @t131 @t3))) % 47.01/47.27 (define @t2367 () (forall @t7 (=> @t176 @t2366))) % 47.01/47.27 (define @t2368 () (tptp.hAPP (tptp.hAPP @t1590 @t3) @t783)) % 47.01/47.27 (define @t2369 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2370 () (tptp.hAPP @t2369 @t816)) % 47.01/47.27 (define @t2371 () (@var "V_M_2" $$unsorted)) % 47.01/47.27 (define @t2372 () (tptp.c_COMBC tptp.tc_Nat_Onat @t1866 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2373 () (tptp.hAPP @t2372 @t1476)) % 47.01/47.27 (define @t2374 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t517 tptp.tc_Nat_Onat) tptp.c_fconj)) % 47.01/47.27 (define @t2375 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2376 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 47.01/47.27 (define @t2377 () (tptp.hAPP @t1739 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2375 (tptp.hAPP @t2374 (tptp.hAPP @t2373 @t2371))) (tptp.hAPP @t2370 @t1597))))) % 47.01/47.27 (define @t2378 () (tptp.hAPP @t2370 @t1144)) % 47.01/47.27 (define @t2379 () (tptp.tc_fun @t1866 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2380 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2379 tptp.tc_Nat_Onat) @t1476)) % 47.01/47.27 (define @t2381 () (tptp.hAPP @t2372 (tptp.hAPP @t2380 tptp.c_Nat_OSuc))) % 47.01/47.27 (define @t2382 () (tptp.hAPP @t1739 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2375 (tptp.hAPP @t2374 (tptp.hAPP @t2381 @t2371))) @t2378)))) % 47.01/47.27 (define @t2383 () (tptp.hAPP @t1476 @t520)) % 47.01/47.27 (define @t2384 () (tptp.hBOOL (tptp.hAPP @t2383 @t2371))) % 47.01/47.27 (define @t2385 () (@list @t1144 @t2371)) % 47.01/47.27 (define @t2386 () (tptp.c_Set_OCollect @t15)) % 47.01/47.27 (define @t2387 () (tptp.hAPP @t2386 @t35)) % 47.01/47.27 (define @t2388 () (tptp.hBOOL (tptp.hAPP @t291 @t2387))) % 47.01/47.27 (define @t2389 () (tptp.hAPP @t35 @t290)) % 47.01/47.27 (define @t2390 () (tptp.hBOOL @t2389)) % 47.01/47.27 (define @t2391 () (@list @t15 @t290 @t35)) % 47.01/47.27 (define @t2392 () (tptp.hAPP @t808 @t35)) % 47.01/47.27 (define @t2393 () (tptp.hAPP @t810 @t2392)) % 47.01/47.27 (define @t2394 () (tptp.hAPP @t2386 (tptp.hAPP @t2393 @t34))) % 47.01/47.27 (define @t2395 () (tptp.hAPP @t2386 @t34)) % 47.01/47.27 (define @t2396 () (tptp.hBOOL (tptp.hAPP @t927 @t2395))) % 47.01/47.27 (define @t2397 () (tptp.hBOOL (tptp.hAPP @t927 @t2387))) % 47.01/47.27 (define @t2398 () (@list @t34 @t35 @t15)) % 47.01/47.27 (define @t2399 () (not @t172)) % 47.01/47.27 (define @t2400 () (forall @t7 @t2399)) % 47.01/47.27 (define @t2401 () (@list @t35 @t290 @t15)) % 47.01/47.27 (define @t2402 () (tptp.c_COMBK tptp.tc_HOL_Obool @t15)) % 47.01/47.27 (define @t2403 () (tptp.hAPP @t2402 tptp.c_fFalse)) % 47.01/47.27 (define @t2404 () (tptp.hAPP @t807 tptp.c_fdisj)) % 47.01/47.27 (define @t2405 () (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2404 @t35)) @t34))) % 47.01/47.27 (define @t2406 () (tptp.hAPP @t807 tptp.c_fimplies)) % 47.01/47.27 (define @t2407 () (tptp.hAPP @t2386 (tptp.hAPP @t811 @t1034))) % 47.01/47.27 (define @t2408 () (tptp.hAPP @t963 @t2387)) % 47.01/47.27 (define @t2409 () (tptp.hAPP @t2386 @t680)) % 47.01/47.27 (define @t2410 () (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 @t1075)) @t35))) % 47.01/47.27 (define @t2411 () (not @t2390)) % 47.01/47.27 (define @t2412 () (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 @t680)) @t35))) % 47.01/47.27 (define @t2413 () (tptp.hAPP @t805 @t387)) % 47.01/47.27 (define @t2414 () (tptp.hAPP @t810 (tptp.hAPP @t808 @t390))) % 47.01/47.27 (define @t2415 () (tptp.c_COMBB @t54 @t54 @t71)) % 47.01/47.27 (define @t2416 () (tptp.hAPP @t2415 @t2386)) % 47.01/47.27 (define @t2417 () (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t71)) % 47.01/47.27 (define @t2418 () (tptp.hAPP @t2417 tptp.c_fconj)) % 47.01/47.27 (define @t2419 () (tptp.c_COMBS @t71 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2420 () (tptp.c_COMBB @t88 @t88 @t15)) % 47.01/47.27 (define @t2421 () (tptp.c_Set_OCollect @t71)) % 47.01/47.27 (define @t2422 () (tptp.hAPP @t2420 @t2421)) % 47.01/47.27 (define @t2423 () (tptp.hAPP @t2422 (tptp.hAPP (tptp.hAPP @t2420 (tptp.hAPP @t2419 (tptp.hAPP @t2418 (tptp.hAPP @t421 @t1153)))) @t387))) % 47.01/47.27 (define @t2424 () (tptp.tc_fun @t88 @t184)) % 47.01/47.27 (define @t2425 () (tptp.tc_fun @t71 @t184)) % 47.01/47.27 (define @t2426 () (tptp.c_COMBB @t2425 @t2424 @t15)) % 47.01/47.27 (define @t2427 () (tptp.c_COMBS @t15 @t88 @t184)) % 47.01/47.27 (define @t2428 () (tptp.hAPP @t2427 (tptp.hAPP (tptp.hAPP @t2426 @t933) @t2))) % 47.01/47.27 (define @t2429 () (tptp.hBOOL (tptp.hAPP @t1082 @t1153))) % 47.01/47.27 (define @t2430 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t71)) % 47.01/47.27 (define @t2431 () (tptp.hAPP @t931 @t386)) % 47.01/47.27 (define @t2432 () (tptp.hAPP @t2421 @t35)) % 47.01/47.27 (define @t2433 () (tptp.c_If @t15)) % 47.01/47.27 (define @t2434 () (tptp.tc_fun @t15 @t886)) % 47.01/47.27 (define @t2435 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2434 @t71) @t2433)) % 47.01/47.27 (define @t2436 () (tptp.c_Set_Oimage @t15 @t184 @t2)) % 47.01/47.27 (define @t2437 () (tptp.c_COMBB @t54 @t54 @t184)) % 47.01/47.27 (define @t2438 () (tptp.hAPP (tptp.c_COMBB @t88 tptp.tc_Nat_Onat @t15) @t1364)) % 47.01/47.27 (define @t2439 () (tptp.hAPP @t2413 @t3)) % 47.01/47.27 (define @t2440 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t54 @t2)) % 47.01/47.27 (define @t2441 () (@var "B_z" $$unsorted)) % 47.01/47.27 (define @t2442 () (tptp.hAPP @t173 @t2441)) % 47.01/47.27 (define @t2443 () (@list @t2441)) % 47.01/47.27 (define @t2444 () (tptp.c_COMBB @t54 @t54 @t54)) % 47.01/47.27 (define @t2445 () (tptp.hAPP (tptp.hAPP @t2444 @t2386) @t35)) % 47.01/47.27 (define @t2446 () (tptp.tc_fun @t886 @t54)) % 47.01/47.27 (define @t2447 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t2446 @t15) (tptp.c_COMBB @t15 tptp.tc_HOL_Obool @t15)) tptp.c_fequal)) % 47.01/47.27 (define @t2448 () (tptp.hAPP (tptp.c_COMBC @t15 @t886 @t54) @t2447)) % 47.01/47.27 (define @t2449 () (tptp.tc_fun @t15 @t517)) % 47.01/47.27 (define @t2450 () (tptp.hAPP (tptp.c_COMBB @t54 @t2449 @t15) @t808)) % 47.01/47.27 (define @t2451 () (tptp.hAPP (tptp.c_COMBB @t2449 @t776 @t15) @t810)) % 47.01/47.27 (define @t2452 () (tptp.c_HOL_OEx @t15)) % 47.01/47.27 (define @t2453 () (tptp.hAPP @t515 @t2452)) % 47.01/47.27 (define @t2454 () (tptp.class_Lattices_Odistrib__lattice @t15)) % 47.01/47.27 (define @t2455 () (tptp.c_Set_OCollect @t54)) % 47.01/47.27 (define @t2456 () (tptp.hAPP @t2455 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t54 tptp.tc_HOL_Obool) @t62) @t51))) % 47.01/47.27 (define @t2457 () (tptp.c_COMBC @t71 @t15 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2458 () (tptp.hAPP @t2457 @t34)) % 47.01/47.27 (define @t2459 () (tptp.hAPP @t35 @t783)) % 47.01/47.27 (define @t2460 () (tptp.hBOOL @t2459)) % 47.01/47.27 (define @t2461 () (@list @t783)) % 47.01/47.27 (define @t2462 () (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t71)) % 47.01/47.27 (define @t2463 () (tptp.hAPP @t2462 @t2452)) % 47.01/47.27 (define @t2464 () (tptp.c_COMBB @t71 tptp.tc_HOL_Obool @t15)) % 47.01/47.27 (define @t2465 () (tptp.tc_fun @t214 @t54)) % 47.01/47.27 (define @t2466 () (tptp.c_COMBC @t71 @t54 @t54)) % 47.01/47.27 (define @t2467 () (@list @t2 @t71 @t35 @t15)) % 47.01/47.27 (define @t2468 () (tptp.c_COMBB tptp.tc_HOL_Obool @t517 tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2469 () (tptp.hAPP @t2468 tptp.c_fconj)) % 47.01/47.27 (define @t2470 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2471 () (tptp.hAPP @t2470 (tptp.hAPP @t2469 @t2025))) % 47.01/47.27 (define @t2472 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2473 () (tptp.hAPP @t2472 (tptp.hAPP @t2471 @t35))) % 47.01/47.27 (define @t2474 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 47.01/47.27 (define @t2475 () (tptp.hAPP (tptp.c_COMBB @t517 @t776 @t15) @t791)) % 47.01/47.27 (define @t2476 () (tptp.hAPP @t513 (tptp.hAPP @t2475 @t809))) % 47.01/47.27 (define @t2477 () (tptp.hAPP @t2476 @t1034)) % 47.01/47.27 (define @t2478 () (tptp.tc_fun @t15 @t54)) % 47.01/47.27 (define @t2479 () (tptp.hAPP (tptp.c_COMBC @t15 @t2434 @t2478) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2446 (tptp.tc_fun @t2434 @t2478) @t15) (tptp.c_COMBB @t886 @t54 @t15)) @t2447))) % 47.01/47.27 (define @t2480 () (tptp.tc_fun @t15 @t2449)) % 47.01/47.27 (define @t2481 () (tptp.hAPP (tptp.c_COMBB @t2478 @t2480 @t15) @t2450)) % 47.01/47.27 (define @t2482 () (tptp.tc_fun @t15 @t776)) % 47.01/47.27 (define @t2483 () (tptp.hAPP (tptp.c_COMBB @t2480 @t2482 @t15) @t2451)) % 47.01/47.27 (define @t2484 () (tptp.hAPP (tptp.c_COMBB @t2482 (tptp.tc_fun @t2478 @t2478) @t15) (tptp.c_COMBS @t15 @t54 @t54))) % 47.01/47.27 (define @t2485 () (tptp.c_COMBC @t15 @t2478 @t2478)) % 47.01/47.27 (define @t2486 () (tptp.hAPP (tptp.c_COMBB @t2478 @t54 @t15) @t2453)) % 47.01/47.27 (define @t2487 () (tptp.hAPP @t1223 @t469)) % 47.01/47.27 (define @t2488 () (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2451 (tptp.hAPP @t2450 (tptp.hAPP @t2448 @t2487)))) (tptp.hAPP @t389 @t846))))) % 47.01/47.27 (define @t2489 () (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t846)) % 47.01/47.27 (define @t2490 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t15)) % 47.01/47.27 (define @t2491 () (@list @t469 @t846 @t15)) % 47.01/47.27 (define @t2492 () (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t846)) % 47.01/47.27 (define @t2493 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t54)) % 47.01/47.27 (define @t2494 () (tptp.hAPP @t2493 @t2284)) % 47.01/47.27 (define @t2495 () (tptp.c_Orderings_Otop__class_Otop @t1866)) % 47.01/47.27 (define @t2496 () (tptp.c_Orderings_Otop__class_Otop @t54)) % 47.01/47.27 (define @t2497 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t88)) % 47.01/47.27 (define @t2498 () (tptp.hAPP @t2497 @t51)) % 47.01/47.27 (define @t2499 () (tptp.hAPP @t2498 @t48)) % 47.01/47.27 (define @t2500 () (tptp.hBOOL (tptp.hAPP @t2499 @t294))) % 47.01/47.27 (define @t2501 () (tptp.hAPP @t48 @t290)) % 47.01/47.27 (define @t2502 () (tptp.hAPP @t2501 @t294)) % 47.01/47.27 (define @t2503 () (tptp.hBOOL @t2502)) % 47.01/47.27 (define @t2504 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t1866) @t2495)) % 47.01/47.27 (define @t2505 () (tptp.hAPP @t2497 @t2496)) % 47.01/47.27 (define @t2506 () (tptp.hAPP (tptp.hAPP @t2420 @t421) @t1667)) % 47.01/47.27 (define @t2507 () (@list @t47 @t1667 @t71 @t15)) % 47.01/47.27 (define @t2508 () (tptp.tc_prod @t15 @t71)) % 47.01/47.27 (define @t2509 () (tptp.tc_fun @t2508 tptp.tc_HOL_Obool)) % 47.01/47.27 (define @t2510 () (tptp.c_Orderings_Otop__class_Otop @t2509)) % 47.01/47.27 (define @t2511 () (tptp.c_Finite__Set_Ofinite @t2508)) % 47.01/47.27 (define @t2512 () (tptp.c_Orderings_Otop__class_Otop @t88)) % 47.01/47.27 (define @t2513 () (tptp.hBOOL (tptp.hAPP @t1082 @t2512))) % 47.01/47.27 (define @t2514 () (tptp.hBOOL (tptp.hAPP @t927 @t2496))) % 47.01/47.27 (define @t2515 () (@list @t71 @t15)) % 47.01/47.27 (define @t2516 () (tptp.tc_Option_Ooption @t15)) % 47.01/47.27 (define @t2517 () (tptp.c_Orderings_Otop__class_Otop @t1530)) % 47.01/47.27 (define @t2518 () (tptp.c_Orderings_Otop__class_Otop @t243)) % 47.01/47.27 (define @t2519 () (tptp.hAPP @t48 @t3)) % 47.01/47.27 (define @t2520 () (tptp.hAPP @t2519 @t294)) % 47.01/47.27 (define @t2521 () (tptp.hBOOL @t2520)) % 47.01/47.27 (define @t2522 () (@list @t294 @t48 @t51 @t71 @t15)) % 47.01/47.27 (define @t2523 () (tptp.c_Orderings_Otop__class_Otop @t15)) % 47.01/47.27 (define @t2524 () (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t1082 @t2519))))) % 47.01/47.27 (define @t2525 () (tptp.hBOOL (tptp.hAPP @t1082 @t2499))) % 47.01/47.27 (define @t2526 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t214 tptp.tc_HOL_Obool))) % 47.01/47.27 (define @t2527 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t214) @t2526))) % 47.01/47.27 (define @t2528 () (tptp.hAPP @t2493 @t2495)) % 47.01/47.27 (define @t2529 () (tptp.hAPP @t2528 @t51)) % 47.01/47.27 (define @t2530 () (tptp.tc_fun tptp.tc_Nat_Onat @t54)) % 47.01/47.27 (define @t2531 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t2496)) % 47.01/47.27 (define @t2532 () (tptp.c_Set_Oimage @t71 @t184 @t1)) % 47.01/47.27 (define @t2533 () (tptp.c_Set_Oimage @t184 @t15 @t2)) % 47.01/47.27 (define @t2534 () (tptp.tc_fun @t184 @t71)) % 47.01/47.27 (define @t2535 () (tptp.c_Orderings_Otop__class_Otop @t76)) % 47.01/47.27 (define @t2536 () (tptp.class_Lattices_Obounded__lattice__top @t76)) % 47.01/47.27 (define @t2537 () (tptp.hAPP @t85 @t2512)) % 47.01/47.27 (define @t2538 () (tptp.hAPP @t173 @t69)) % 47.01/47.27 (define @t2539 () (tptp.hAPP @t1207 @t2496)) % 47.01/47.27 (define @t2540 () (tptp.hAPP @t792 @t35)) % 47.01/47.27 (define @t2541 () (tptp.hAPP @t2386 @t2540)) % 47.01/47.27 (define @t2542 () (= @t783 @t3)) % 47.01/47.27 (define @t2543 () (tptp.hAPP @t2 @t783)) % 47.01/47.27 (define @t2544 () (tptp.hAPP @t220 @t2496)) % 47.01/47.27 (define @t2545 () (= (tptp.hAPP @t1087 @t2496) @t2496)) % 47.01/47.27 (define @t2546 () (tptp.c_Fun_Oinj__on @t15 @t15 @t2 @t2496)) % 47.01/47.27 (define @t2547 () (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t51)) % 47.01/47.27 (define @t2548 () (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t51)) % 47.01/47.27 (define @t2549 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2548) @t51))) % 47.01/47.27 (define @t2550 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2547) @t51))) % 47.01/47.27 (define @t2551 () (not (= @t2371 @t289))) % 47.01/47.27 (define @t2552 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2371) @t846))) % 47.01/47.27 (define @t2553 () (@list @t846 @t2371 @t15)) % 47.01/47.27 (define @t2554 () (tptp.hBOOL (tptp.hAPP @t404 @t2501))) % 47.01/47.27 (define @t2555 () (@list @t48 @t294 @t71 @t51 @t290 @t15)) % 47.01/47.27 (define @t2556 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t54)) % 47.01/47.27 (define @t2557 () (tptp.hAPP @t2556 @t51)) % 47.01/47.27 (define @t2558 () (tptp.hAPP @t2557 @t48)) % 47.01/47.27 (define @t2559 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t243 @t71) @t521) @t48)) % 47.01/47.27 (define @t2560 () (tptp.hAPP @t398 @t51)) % 47.01/47.27 (define @t2561 () (@list @t48 @t51 @t290 @t15 @t71)) % 47.01/47.27 (define @t2562 () (tptp.hAPP @t2497 @t161)) % 47.01/47.27 (define @t2563 () (tptp.hAPP @t2562 @t48)) % 47.01/47.27 (define @t2564 () (tptp.hAPP @t90 @t2563)) % 47.01/47.27 (define @t2565 () (tptp.hAPP @t2562 (tptp.hAPP (tptp.hAPP @t2420 @t90) @t48))) % 47.01/47.27 (define @t2566 () (= @t161 @t289)) % 47.01/47.27 (define @t2567 () (not @t2566)) % 47.01/47.27 (define @t2568 () (@list @t48 @t51 @t71 @t15 @t161)) % 47.01/47.27 (define @t2569 () (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP @t2562 @t51)) @t48)) % 47.01/47.27 (define @t2570 () (tptp.hAPP @t511 @t51)) % 47.01/47.27 (define @t2571 () (tptp.hAPP @t2562 (tptp.hAPP (tptp.hAPP @t512 @t2570) @t48))) % 47.01/47.27 (define @t2572 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t15)) % 47.01/47.27 (define @t2573 () (tptp.hAPP @t2572 @t51)) % 47.01/47.27 (define @t2574 () (tptp.c_COMBB @t72 @t15 @t184)) % 47.01/47.27 (define @t2575 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t184 @t15) @t48)) % 47.01/47.27 (define @t2576 () (tptp.c_COMBB @t829 @t15 @t71)) % 47.01/47.27 (define @t2577 () (@list @t2 @t48 @t184 @t51 @t71 @t15)) % 47.01/47.27 (define @t2578 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t828)) % 47.01/47.27 (define @t2579 () (tptp.hAPP (tptp.hAPP @t2578 @t51) @t48)) % 47.01/47.27 (define @t2580 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t184 @t54)) % 47.01/47.27 (define @t2581 () (tptp.tc_fun @t184 @t54)) % 47.01/47.27 (define @t2582 () (tptp.c_COMBB @t828 (tptp.tc_fun @t2581 @t54) @t71)) % 47.01/47.27 (define @t2583 () (tptp.c_COMBC @t71 @t2581 @t54)) % 47.01/47.27 (define @t2584 () (@list @t161 @t48 @t184 @t51 @t15 @t71)) % 47.01/47.27 (define @t2585 () (tptp.tc_fun @t71 @t54)) % 47.01/47.27 (define @t2586 () (tptp.c_COMBB @t88 (tptp.tc_fun @t2585 @t54) @t184)) % 47.01/47.27 (define @t2587 () (tptp.c_COMBC @t184 @t2585 @t54)) % 47.01/47.27 (define @t2588 () (tptp.hAPP @t2580 @t51)) % 47.01/47.27 (define @t2589 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t184 @t88) @t51) @t48)) % 47.01/47.27 (define @t2590 () (@list @t161 @t48 @t51 @t184 @t15 @t71)) % 47.01/47.27 (define @t2591 () (tptp.hAPP @t2371 @t3)) % 47.01/47.27 (define @t2592 () (and @t703 @t720)) % 47.01/47.27 (define @t2593 () (tptp.hBOOL (tptp.hAPP @t309 @t2519))) % 47.01/47.27 (define @t2594 () (@list @t48 @t51 @t71 @t294 @t15)) % 47.01/47.27 (define @t2595 () (tptp.hAPP @t379 @t2371)) % 47.01/47.27 (define @t2596 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t71)) % 47.01/47.27 (define @t2597 () (tptp.hAPP @t2596 @t51)) % 47.01/47.27 (define @t2598 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t71)) % 47.01/47.27 (define @t2599 () (@list @t2371 @t15 @t51 @t71)) % 47.01/47.27 (define @t2600 () (forall @t7 (=> @t402 (= @t2519 @t289)))) % 47.01/47.27 (define @t2601 () (@list @t48 @t51 @t15 @t71)) % 47.01/47.27 (define @t2602 () (tptp.c_COMBK @t88 @t15)) % 47.01/47.27 (define @t2603 () (tptp.hAPP @t2602 @t281)) % 47.01/47.27 (define @t2604 () (tptp.hAPP @t2498 @t2603)) % 47.01/47.27 (define @t2605 () (tptp.c_COMBK @t54 @t71)) % 47.01/47.27 (define @t2606 () (tptp.hAPP @t51 @t3)) % 47.01/47.27 (define @t2607 () (@var "V_I_2" $$unsorted)) % 47.01/47.27 (define @t2608 () (tptp.hBOOL (tptp.hAPP @t401 @t2607))) % 47.01/47.27 (define @t2609 () (tptp.hAPP @t2556 @t2607)) % 47.01/47.27 (define @t2610 () (tptp.hAPP @t2609 @t51)) % 47.01/47.27 (define @t2611 () (@list @t48 @t51 @t2607 @t71 @t15)) % 47.01/47.27 (define @t2612 () (tptp.hAPP (tptp.c_Set_Oimage @t71 @t184 @t2) @t51)) % 47.01/47.27 (define @t2613 () (tptp.hAPP @t2580 @t2612)) % 47.01/47.27 (define @t2614 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t184 @t54 @t71) @t48) @t2)) % 47.01/47.27 (define @t2615 () (@list @t2 @t48 @t184 @t51 @t15 @t71)) % 47.01/47.27 (define @t2616 () (tptp.c_COMBB @t88 @t54 @t184)) % 47.01/47.27 (define @t2617 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 @t54 @t184) @t48) @t2)) % 47.01/47.27 (define @t2618 () (tptp.hAPP (tptp.c_Set_Oimage @t184 @t71 @t2) @t51)) % 47.01/47.27 (define @t2619 () (@list @t48 @t51 @t2 @t184 @t15 @t71)) % 47.01/47.27 (define @t2620 () (tptp.c_COMBB @t54 @t776 @t71)) % 47.01/47.27 (define @t2621 () (tptp.hAPP (tptp.hAPP @t2620 @t55) @t51)) % 47.01/47.27 (define @t2622 () (tptp.c_COMBS @t71 @t54 @t54)) % 47.01/47.27 (define @t2623 () (tptp.hAPP (tptp.hAPP @t2622 @t2621) @t48)) % 47.01/47.27 (define @t2624 () (@list @t48 @t51 @t2607 @t15 @t71)) % 47.01/47.27 (define @t2625 () (tptp.hAPP @t2556 @t48)) % 47.01/47.27 (define @t2626 () (@list @t2371 @t48 @t51 @t15 @t71)) % 47.01/47.27 (define @t2627 () (tptp.hAPP @t2556 @t161)) % 47.01/47.27 (define @t2628 () (tptp.hAPP @t963 (tptp.hAPP @t2627 @t48))) % 47.01/47.27 (define @t2629 () (tptp.hAPP @t2627 (tptp.hAPP (tptp.hAPP @t2415 @t963) @t48))) % 47.01/47.27 (define @t2630 () (@list @t48 @t51 @t161 @t15 @t71)) % 47.01/47.27 (define @t2631 () (tptp.hAPP @t2627 @t51)) % 47.01/47.27 (define @t2632 () (tptp.hAPP (tptp.hAPP @t962 @t2631) @t48)) % 47.01/47.27 (define @t2633 () (tptp.hAPP (tptp.hAPP @t2620 @t962) @t51)) % 47.01/47.27 (define @t2634 () (tptp.hAPP @t2627 (tptp.hAPP (tptp.hAPP @t2466 @t2633) @t48))) % 47.01/47.27 (define @t2635 () (@list @t48 @t161 @t71 @t51 @t15)) % 47.01/47.27 (define @t2636 () (@list @t51 @t2607 @t71 @t48 @t15)) % 47.01/47.27 (define @t2637 () (@list @t48 @t51 @t161 @t71 @t15)) % 47.01/47.27 (define @t2638 () (tptp.hAPP (tptp.c_COMBB @t776 (tptp.tc_fun @t2581 @t2581) @t71) @t2437)) % 47.01/47.27 (define @t2639 () (tptp.c_COMBC @t71 @t2581 @t2581)) % 47.01/47.27 (define @t2640 () (@var "V_J_2" $$unsorted)) % 47.01/47.27 (define @t2641 () (tptp.hAPP @t2580 @t2640)) % 47.01/47.27 (define @t2642 () (tptp.c_COMBB @t2581 @t54 @t71)) % 47.01/47.27 (define @t2643 () (@list @t48 @t2640 @t184 @t51 @t2607 @t71 @t15)) % 47.01/47.27 (define @t2644 () (tptp.hAPP @t825 @t47)) % 47.01/47.27 (define @t2645 () (@list @t47 @t2 @t51 @t184 @t71 @t15)) % 47.01/47.27 (define @t2646 () (tptp.hAPP (tptp.hAPP @t529 @t2631) @t48)) % 47.01/47.27 (define @t2647 () (tptp.hAPP @t2627 (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP (tptp.hAPP @t2620 @t529) @t51)) @t48))) % 47.01/47.27 (define @t2648 () (tptp.hAPP @t2597 @t2)) % 47.01/47.27 (define @t2649 () (tptp.hAPP @t2371 @t1144)) % 47.01/47.27 (define @t2650 () (tptp.hBOOL (tptp.hAPP @t1146 @t51))) % 47.01/47.27 (define @t2651 () (@list @t2371 @t51 @t1144 @t15 @t71)) % 47.01/47.27 (define @t2652 () (tptp.hAPP (tptp.hAPP @t2420 @t398) @t48)) % 47.01/47.27 (define @t2653 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1486) @t51))) % 47.01/47.27 (define @t2654 () (@list @t48 @t290 @t71 @t51 @t1486 @t15)) % 47.01/47.27 (define @t2655 () (@list @t48 @t71 @t51 @t290 @t15)) % 47.01/47.27 (define @t2656 () (tptp.hAPP (tptp.hAPP @t2497 @t2607) @t51)) % 47.01/47.27 (define @t2657 () (tptp.hAPP @t51 @t469)) % 47.01/47.27 (define @t2658 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t469) @t2607))) % 47.01/47.27 (define @t2659 () (@list @t51 @t71 @t2607 @t469 @t15)) % 47.01/47.27 (define @t2660 () (tptp.hAPP @t398 @t2563)) % 47.01/47.27 (define @t2661 () (tptp.hAPP @t2562 @t2652)) % 47.01/47.27 (define @t2662 () (@list @t48 @t290 @t71 @t15 @t161)) % 47.01/47.27 (define @t2663 () (tptp.hAPP @t398 @t377)) % 47.01/47.27 (define @t2664 () (tptp.hAPP @t2528 @t48)) % 47.01/47.27 (define @t2665 () (tptp.hAPP @t62 @t2529)) % 47.01/47.27 (define @t2666 () (tptp.hAPP (tptp.hAPP @t2493 (tptp.hAPP @t1858 (tptp.hAPP (tptp.hAPP @t1274 @t429) @t469))) @t48)) % 47.01/47.27 (define @t2667 () (tptp.hAPP (tptp.hAPP @t2493 (tptp.hAPP @t1858 @t429)) @t51)) % 47.01/47.27 (define @t2668 () (tptp.hAPP @t62 @t2667)) % 47.01/47.27 (define @t2669 () (@list @t48 @t469 @t51 @t15)) % 47.01/47.27 (define @t2670 () (@list @t161 @t51 @t15)) % 47.01/47.27 (define @t2671 () (tptp.c_Set_Ovimage @t15 @t71 @t2)) % 47.01/47.27 (define @t2672 () (tptp.hAPP @t2671 @t2663)) % 47.01/47.27 (define @t2673 () (@list @t290 @t2 @t71 @t15)) % 47.01/47.27 (define @t2674 () (tptp.c_Orderings_Oord__class_Omin @t15)) % 47.01/47.27 (define @t2675 () (tptp.hAPP @t2674 @t47)) % 47.01/47.27 (define @t2676 () (tptp.hAPP @t2675 (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t531))) % 47.01/47.27 (define @t2677 () (= @t2548 @t47)) % 47.01/47.27 (define @t2678 () (tptp.tc_fun @t71 @t828)) % 47.01/47.27 (define @t2679 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t2678)) % 47.01/47.27 (define @t2680 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2679 @t51) @t48) @t294) @t281))) % 47.01/47.27 (define @t2681 () (tptp.hBOOL (tptp.hAPP @t2502 @t281))) % 47.01/47.27 (define @t2682 () (tptp.c_Set_Ovimage @t71 @t15 @t2)) % 47.01/47.27 (define @t2683 () (tptp.hAPP @t2682 @t48)) % 47.01/47.27 (define @t2684 () (tptp.hAPP @t311 @t290)) % 47.01/47.27 (define @t2685 () (= @t397 @t294)) % 47.01/47.27 (define @t2686 () (tptp.c_Orderings_Oord__class_Omin @t76)) % 47.01/47.27 (define @t2687 () (tptp.hAPP @t2686 @t112)) % 47.01/47.27 (define @t2688 () (tptp.hAPP @t2686 @t116)) % 47.01/47.27 (define @t2689 () (tptp.hAPP @t2687 @t116)) % 47.01/47.27 (define @t2690 () (tptp.hAPP @t2686 @t95)) % 47.01/47.27 (define @t2691 () (tptp.hAPP @t2690 @t75)) % 47.01/47.27 (define @t2692 () (tptp.hAPP @t2686 @t75)) % 47.01/47.27 (define @t2693 () (tptp.hAPP @t2692 @t95)) % 47.01/47.27 (define @t2694 () (tptp.hAPP @t2687 (tptp.hAPP @t2688 @t113))) % 47.01/47.27 (define @t2695 () (tptp.hAPP @t2692 @t101)) % 47.01/47.27 (define @t2696 () (tptp.hAPP @t2690 @t101)) % 47.01/47.27 (define @t2697 () (tptp.hAPP @t2692 @t2696)) % 47.01/47.27 (define @t2698 () (tptp.hAPP @t2671 @t51)) % 47.01/47.27 (define @t2699 () (tptp.hAPP @t77 @t2693)) % 47.01/47.27 (define @t2700 () (tptp.hAPP @t2675 @t128)) % 47.01/47.27 (define @t2701 () (tptp.hAPP @t77 @t2689)) % 47.01/47.27 (define @t2702 () (tptp.hBOOL (tptp.hAPP @t2701 @t75))) % 47.01/47.27 (define @t2703 () (tptp.hBOOL (tptp.hAPP @t78 @t2689))) % 47.01/47.28 (define @t2704 () (tptp.hAPP @t714 @t202)) % 47.01/47.28 (define @t2705 () (tptp.hBOOL (tptp.hAPP @t2704 @t128))) % 47.01/47.28 (define @t2706 () (tptp.hBOOL (tptp.hAPP @t2704 @t47))) % 47.01/47.28 (define @t2707 () (@list @t128 @t47 @t202 @t15)) % 47.01/47.28 (define @t2708 () (tptp.hBOOL (tptp.hAPP @t715 @t202))) % 47.01/47.28 (define @t2709 () (tptp.hBOOL (tptp.hAPP @t717 @t202))) % 47.01/47.28 (define @t2710 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2689) @t75))) % 47.01/47.28 (define @t2711 () (tptp.hAPP @t1213 @t75)) % 47.01/47.28 (define @t2712 () (tptp.hAPP @t2711 @t101)) % 47.01/47.28 (define @t2713 () (tptp.hAPP (tptp.hAPP @t637 @t95) @t101)) % 47.01/47.28 (define @t2714 () (tptp.hAPP @t637 @t75)) % 47.01/47.28 (define @t2715 () (tptp.hAPP @t2714 @t101)) % 47.01/47.28 (define @t2716 () (tptp.class_Groups_Oordered__ab__group__add @t76)) % 47.01/47.28 (define @t2717 () (tptp.hAPP @t2671 @t48)) % 47.01/47.28 (define @t2718 () (tptp.hAPP @t2682 @t51)) % 47.01/47.28 (define @t2719 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t2720 () (tptp.hAPP @t2719 @t369)) % 47.01/47.28 (define @t2721 () (tptp.hAPP (tptp.hAPP @t2719 @t488) @t369)) % 47.01/47.28 (define @t2722 () (tptp.class_Orderings_Olinorder @t71)) % 47.01/47.28 (define @t2723 () (and @t2722 @t720)) % 47.01/47.28 (define @t2724 () (@list @t260 @t496 @t2 @t15 @t71)) % 47.01/47.28 (define @t2725 () (@list @t35 @t2 @t71 @t15)) % 47.01/47.28 (define @t2726 () (tptp.hAPP (tptp.hAPP @t2616 @t2671) @t48)) % 47.01/47.28 (define @t2727 () (@list @t48 @t51 @t184 @t2 @t71 @t15)) % 47.01/47.28 (define @t2728 () (tptp.hAPP @t85 @t2718)) % 47.01/47.28 (define @t2729 () (= @t2537 @t2496)) % 47.01/47.28 (define @t2730 () (@list @t48 @t2 @t71 @t15)) % 47.01/47.28 (define @t2731 () (tptp.hAPP @t378 @t294)) % 47.01/47.28 (define @t2732 () (tptp.hBOOL (tptp.hAPP @t1082 @t1062))) % 47.01/47.28 (define @t2733 () (tptp.hBOOL (tptp.hAPP @t927 (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t71 @t899) @t1062)))) % 47.01/47.28 (define @t2734 () (@list @t1062 @t899 @t71 @t15)) % 47.01/47.28 (define @t2735 () (tptp.hAPP @t2675 @t2548)) % 47.01/47.28 (define @t2736 () (tptp.hAPP @t2674 @t294)) % 47.01/47.28 (define @t2737 () (tptp.hAPP @t2736 @t345)) % 47.01/47.28 (define @t2738 () (tptp.hAPP @t962 @t1747)) % 47.01/47.28 (define @t2739 () (tptp.c_Finite__Set_Ofold1 @t15 @t2674)) % 47.01/47.28 (define @t2740 () (tptp.hAPP @t2739 @t51)) % 47.01/47.28 (define @t2741 () (tptp.hAPP @t879 @t281)) % 47.01/47.28 (define @t2742 () (tptp.hAPP (tptp.c_Set_Ovimage @t71 @t15 @t2741) @t51)) % 47.01/47.28 (define @t2743 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t88 @t88) @t378) @t377)) % 47.01/47.28 (define @t2744 () (tptp.c_COMBB @t88 @t54 @t71)) % 47.01/47.28 (define @t2745 () (tptp.hAPP @t1825 tptp.c_Nat_OSuc)) % 47.01/47.28 (define @t2746 () (tptp.hAPP @t2719 @t260)) % 47.01/47.28 (define @t2747 () (tptp.hAPP @t2719 @t261)) % 47.01/47.28 (define @t2748 () (tptp.hAPP @t130 @t2740)) % 47.01/47.28 (define @t2749 () (tptp.hAPP @t714 @t3)) % 47.01/47.28 (define @t2750 () (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t339)) % 47.01/47.28 (define @t2751 () (=> @t329 (= @t2750 @t2735))) % 47.01/47.28 (define @t2752 () (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t48)) % 47.01/47.28 (define @t2753 () (tptp.hAPP (tptp.hAPP @t2674 @t2548) @t2752)) % 47.01/47.28 (define @t2754 () (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t57)) % 47.01/47.28 (define @t2755 () (= @t2754 @t2753)) % 47.01/47.28 (define @t2756 () (tptp.hAPP @t678 @t130)) % 47.01/47.28 (define @t2757 () (tptp.hAPP (tptp.hAPP @t2674 @t3) @t783)) % 47.01/47.28 (define @t2758 () (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2757) @t1141)))) % 47.01/47.28 (define @t2759 () (tptp.hAPP @t2675 (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t531))) % 47.01/47.28 (define @t2760 () (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t51)) % 47.01/47.28 (define @t2761 () (forall @t787 (= (tptp.hAPP @t899 @t2757) (tptp.hAPP (tptp.hAPP @t2674 @t1190) @t1189)))) % 47.01/47.28 (define @t2762 () (tptp.hBOOL (tptp.hAPP @t2520 @t281))) % 47.01/47.28 (define @t2763 () (@list @t281 @t294 @t48 @t51 @t184 @t71 @t15)) % 47.01/47.28 (define @t2764 () (tptp.hAPP @t2675 @t2760)) % 47.01/47.28 (define @t2765 () (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t339)) % 47.01/47.28 (define @t2766 () (=> @t329 (= @t2765 @t2764))) % 47.01/47.28 (define @t2767 () (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t48)) % 47.01/47.28 (define @t2768 () (tptp.hAPP (tptp.hAPP @t2674 @t2760) @t2767)) % 47.01/47.28 (define @t2769 () (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t57)) % 47.01/47.28 (define @t2770 () (= @t2769 @t2768)) % 47.01/47.28 (define @t2771 () (tptp.c_Orderings_Oord__class_Omax @t15)) % 47.01/47.28 (define @t2772 () (tptp.hAPP @t2771 @t47)) % 47.01/47.28 (define @t2773 () (tptp.hAPP @t2772 (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t531))) % 47.01/47.28 (define @t2774 () (= @t2547 @t47)) % 47.01/47.28 (define @t2775 () (tptp.c_Orderings_Oord__class_Omax @t76)) % 47.01/47.28 (define @t2776 () (tptp.hAPP @t2775 @t75)) % 47.01/47.28 (define @t2777 () (tptp.hAPP @t2776 @t95)) % 47.01/47.28 (define @t2778 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t2779 () (tptp.hAPP @t2778 @t369)) % 47.01/47.28 (define @t2780 () (tptp.hAPP @t2775 @t112)) % 47.01/47.28 (define @t2781 () (tptp.hAPP @t2775 @t116)) % 47.01/47.28 (define @t2782 () (tptp.hAPP @t2780 @t116)) % 47.01/47.28 (define @t2783 () (tptp.hAPP @t2775 @t95)) % 47.01/47.28 (define @t2784 () (tptp.hAPP @t2783 @t75)) % 47.01/47.28 (define @t2785 () (tptp.hAPP @t2780 (tptp.hAPP @t2781 @t113))) % 47.01/47.28 (define @t2786 () (tptp.hAPP @t2776 @t101)) % 47.01/47.28 (define @t2787 () (tptp.hAPP @t2783 @t101)) % 47.01/47.28 (define @t2788 () (tptp.hAPP @t2776 @t2787)) % 47.01/47.28 (define @t2789 () (tptp.hBOOL (tptp.hAPP @t713 @t2782))) % 47.01/47.28 (define @t2790 () (tptp.hAPP @t2772 @t128)) % 47.01/47.28 (define @t2791 () (tptp.hAPP @t77 @t2782)) % 47.01/47.28 (define @t2792 () (tptp.hBOOL (tptp.hAPP @t2791 @t75))) % 47.01/47.28 (define @t2793 () (tptp.hBOOL (tptp.hAPP @t78 @t2782))) % 47.01/47.28 (define @t2794 () (tptp.hAPP @t130 @t202)) % 47.01/47.28 (define @t2795 () (tptp.hAPP (tptp.hAPP @t2686 @t2777) @t2786)) % 47.01/47.28 (define @t2796 () (tptp.hAPP @t2776 @t2696)) % 47.01/47.28 (define @t2797 () (tptp.hAPP (tptp.hAPP @t2775 @t2693) @t2695)) % 47.01/47.28 (define @t2798 () (tptp.hAPP @t2692 @t2787)) % 47.01/47.28 (define @t2799 () (tptp.hAPP @t2778 @t260)) % 47.01/47.28 (define @t2800 () (tptp.hAPP @t2778 @t261)) % 47.01/47.28 (define @t2801 () (tptp.hAPP @t2772 @t2547)) % 47.01/47.28 (define @t2802 () (tptp.hAPP @t2771 @t290)) % 47.01/47.28 (define @t2803 () (tptp.hAPP @t2802 @t281)) % 47.01/47.28 (define @t2804 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t15 @t2771) @t51)) % 47.01/47.28 (define @t2805 () (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t339)) % 47.01/47.28 (define @t2806 () (=> @t329 (= @t2805 @t2801))) % 47.01/47.28 (define @t2807 () (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t48)) % 47.01/47.28 (define @t2808 () (tptp.hAPP (tptp.hAPP @t2771 @t2547) @t2807)) % 47.01/47.28 (define @t2809 () (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t57)) % 47.01/47.28 (define @t2810 () (= @t2809 @t2808)) % 47.01/47.28 (define @t2811 () (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t51)) % 47.01/47.28 (define @t2812 () (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t48)) % 47.01/47.28 (define @t2813 () (tptp.hAPP (tptp.hAPP @t2771 @t3) @t783)) % 47.01/47.28 (define @t2814 () (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2813) @t1141)))) % 47.01/47.28 (define @t2815 () (tptp.hAPP @t2772 (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t531))) % 47.01/47.28 (define @t2816 () (tptp.hAPP @t2772 @t2811)) % 47.01/47.28 (define @t2817 () (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t339)) % 47.01/47.28 (define @t2818 () (=> @t329 (= @t2817 @t2816))) % 47.01/47.28 (define @t2819 () (tptp.hAPP @t2674 @t290)) % 47.01/47.28 (define @t2820 () (tptp.hAPP (tptp.hAPP @t2771 @t2811) @t2812)) % 47.01/47.28 (define @t2821 () (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t57)) % 47.01/47.28 (define @t2822 () (= @t2821 @t2820)) % 47.01/47.28 (define @t2823 () (forall @t787 (= (tptp.hAPP @t899 @t2813) (tptp.hAPP (tptp.hAPP @t2771 @t1190) @t1189)))) % 47.01/47.28 (define @t2824 () (forall @t938 (=> @t937 (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t48 @t935)))))) % 47.01/47.28 (define @t2825 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2202) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2202) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 47.01/47.28 (define @t2826 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t2827 () (tptp.hAPP @t2826 (tptp.hAPP @t2825 @t520))) % 47.01/47.28 (define @t2828 () (tptp.hAPP @t2827 tptp.c_Int_Onat)) % 47.01/47.28 (define @t2829 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t2830 () (tptp.hAPP (tptp.hAPP @t643 @t2215) @t2214)) % 47.01/47.28 (define @t2831 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2213))) % 47.01/47.28 (define @t2832 () (@var "V_Z_2" $$unsorted)) % 47.01/47.28 (define @t2833 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t101))) % 47.01/47.28 (define @t2834 () (tptp.c_Groups_Ouminus__class_Ouminus @t54)) % 47.01/47.28 (define @t2835 () (tptp.hAPP @t2834 @t2387)) % 47.01/47.28 (define @t2836 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t15 @t71)) % 47.01/47.28 (define @t2837 () (tptp.hAPP @t2836 @t1)) % 47.01/47.28 (define @t2838 () (tptp.hAPP @t1537 @t68)) % 47.01/47.28 (define @t2839 () (tptp.hAPP @t2838 (tptp.hAPP @t2837 @t531))) % 47.01/47.28 (define @t2840 () (tptp.hAPP @t2837 @t51)) % 47.01/47.28 (define @t2841 () (tptp.c_Com_Ocom_OCond @t568 @t457 @t454)) % 47.01/47.28 (define @t2842 () (@list @t454 @t457 @t568)) % 47.01/47.28 (define @t2843 () (@list @t2 @t386 @t15 @t71)) % 47.01/47.28 (define @t2844 () (tptp.c_Groups_Ouminus__class_Ouminus @t15)) % 47.01/47.28 (define @t2845 () (tptp.hAPP @t2834 @t51)) % 47.01/47.28 (define @t2846 () (tptp.hBOOL (tptp.hAPP @t282 @t2845))) % 47.01/47.28 (define @t2847 () (@list @t51 @t281 @t15)) % 47.01/47.28 (define @t2848 () (@var "V_c2_2" $$unsorted)) % 47.01/47.28 (define @t2849 () (@var "V_c1_2" $$unsorted)) % 47.01/47.28 (define @t2850 () (tptp.c_Com_Ocom_OCond @t294 @t2849 @t2848)) % 47.01/47.28 (define @t2851 () (@var "V_c0_2" $$unsorted)) % 47.01/47.28 (define @t2852 () (tptp.c_Com_Ocom_OCond @t294 @t2851 @t2849)) % 47.01/47.28 (define @t2853 () (tptp.c_Natural_Oevaln @t2852 @t543 @t260 @t548)) % 47.01/47.28 (define @t2854 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t2852) @t543) @t548))) % 47.01/47.28 (define @t2855 () (tptp.hAPP (tptp.c_Natural_Oevalc @t2849) @t543)) % 47.01/47.28 (define @t2856 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t15 tptp.tc_Int_Oint)) % 47.01/47.28 (define @t2857 () (tptp.hAPP (tptp.hAPP @t2856 @t1906) @t51)) % 47.01/47.28 (define @t2858 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t15 tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t2859 () (tptp.hAPP @t2858 @t2)) % 47.01/47.28 (define @t2860 () (tptp.hAPP @t2859 @t51)) % 47.01/47.28 (define @t2861 () (tptp.hAPP @t2844 @t128)) % 47.01/47.28 (define @t2862 () (tptp.hAPP @t2844 @t47)) % 47.01/47.28 (define @t2863 () (tptp.class_Lattices_Oboolean__algebra @t15)) % 47.01/47.28 (define @t2864 () (tptp.c_Groups_Ouminus__class_Ouminus @t76)) % 47.01/47.28 (define @t2865 () (tptp.hAPP @t2864 @t75)) % 47.01/47.28 (define @t2866 () (tptp.hAPP @t2864 @t95)) % 47.01/47.28 (define @t2867 () (tptp.class_Lattices_Oboolean__algebra @t76)) % 47.01/47.28 (define @t2868 () (tptp.hAPP @t2844 @t290)) % 47.01/47.28 (define @t2869 () (tptp.hAPP @t2844 @t294)) % 47.01/47.28 (define @t2870 () (tptp.hAPP @t130 @t2869)) % 47.01/47.28 (define @t2871 () (tptp.hAPP @t130 @t2868)) % 47.01/47.28 (define @t2872 () (tptp.hBOOL (tptp.hAPP @t2871 @t294))) % 47.01/47.28 (define @t2873 () (tptp.hAPP @t2864 @t112)) % 47.01/47.28 (define @t2874 () (tptp.hAPP @t2864 @t116)) % 47.01/47.28 (define @t2875 () (tptp.hAPP @t714 @t2869)) % 47.01/47.28 (define @t2876 () (tptp.hAPP @t714 @t2868)) % 47.01/47.28 (define @t2877 () (tptp.hBOOL (tptp.hAPP @t2876 @t294))) % 47.01/47.28 (define @t2878 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t71 @t15)) % 47.01/47.28 (define @t2879 () (tptp.c_Com_Ocom_OCond @t567 @t456 @t453)) % 47.01/47.28 (define @t2880 () (tptp.hAPP @t2834 @t48)) % 47.01/47.28 (define @t2881 () (@list @t47 @t51 @t71 @t15)) % 47.01/47.28 (define @t2882 () (= @t290 @t2869)) % 47.01/47.28 (define @t2883 () (tptp.class_Groups_Oab__group__add @t76)) % 47.01/47.28 (define @t2884 () (tptp.hAPP @t1576 @t2874)) % 47.01/47.28 (define @t2885 () (tptp.hAPP @t2864 @t1577)) % 47.01/47.28 (define @t2886 () (tptp.class_Rings_Oring @t76)) % 47.01/47.28 (define @t2887 () (tptp.hAPP @t1559 @t2873)) % 47.01/47.28 (define @t2888 () (tptp.hAPP @t2887 @t116)) % 47.01/47.28 (define @t2889 () (tptp.hAPP @t1213 @t2873)) % 47.01/47.28 (define @t2890 () (tptp.hAPP @t2864 @t1221)) % 47.01/47.28 (define @t2891 () (tptp.c_Groups_Ouminus__class_Ouminus @t88)) % 47.01/47.28 (define @t2892 () (tptp.hAPP @t2891 @t51)) % 47.01/47.28 (define @t2893 () (tptp.hAPP @t2878 @t1)) % 47.01/47.28 (define @t2894 () (tptp.hAPP @t2878 @t2)) % 47.01/47.28 (define @t2895 () (tptp.hAPP @t2894 @t51)) % 47.01/47.28 (define @t2896 () (tptp.class_Fields_Olinordered__field @t15)) % 47.01/47.28 (define @t2897 () (tptp.c_Natural_Oevaln @t276 @t277 @t474 @t472)) % 47.01/47.28 (define @t2898 () (tptp.c_Natural_Oevaln @t575 @t277 @t474 @t472)) % 47.01/47.28 (define @t2899 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t472) @t277) @t474))) % 47.01/47.28 (define @t2900 () (tptp.hBOOL (tptp.hAPP @t599 @t474))) % 47.01/47.28 (define @t2901 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t15)) % 47.01/47.28 (define @t2902 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t15)) % 47.01/47.28 (define @t2903 () (@list @t453 @t456 @t567)) % 47.01/47.28 (define @t2904 () (tptp.hAPP @t2836 @t2)) % 47.01/47.28 (define @t2905 () (tptp.hAPP @t2904 @t51)) % 47.01/47.28 (define @t2906 () (= @t2905 @t1033)) % 47.01/47.28 (define @t2907 () (exists @t7 (and @t176 @t1155))) % 47.01/47.28 (define @t2908 () (tptp.class_Rings_Ocomm__semiring__1 @t71)) % 47.01/47.28 (define @t2909 () (=> @t1058 (= @t2840 @t1536))) % 47.01/47.28 (define @t2910 () (= (tptp.hAPP @t2889 @t112) @t636)) % 47.01/47.28 (define @t2911 () (= @t1272 (tptp.hAPP @t1219 @t2874))) % 47.01/47.28 (define @t2912 () (tptp.hAPP @t2714 @t95)) % 47.01/47.28 (define @t2913 () (tptp.class_Rings_Ocomm__ring__1 @t76)) % 47.01/47.28 (define @t2914 () (tptp.hAPP @t2864 @t1456)) % 47.01/47.28 (define @t2915 () (tptp.hAPP @t2844 @t1459)) % 47.01/47.28 (define @t2916 () (tptp.class_Rings_Oring__1__no__zero__divisors @t15)) % 47.01/47.28 (define @t2917 () (tptp.hAPP @t970 @t2865)) % 47.01/47.28 (define @t2918 () (tptp.hAPP @t139 @t2865)) % 47.01/47.28 (define @t2919 () (tptp.hAPP @t77 @t2873)) % 47.01/47.28 (define @t2920 () (tptp.hBOOL (tptp.hAPP @t2919 @t116))) % 47.01/47.28 (define @t2921 () (tptp.hAPP @t962 @t2845)) % 47.01/47.28 (define @t2922 () (tptp.hAPP (tptp.hAPP @t2901 @t2) @t51)) % 47.01/47.28 (define @t2923 () (tptp.hAPP @t55 @t2845)) % 47.01/47.28 (define @t2924 () (tptp.class_Groups_Olinordered__ab__group__add @t76)) % 47.01/47.28 (define @t2925 () (tptp.c_Set_Oimage @t15 @t15 @t2844)) % 47.01/47.28 (define @t2926 () (tptp.hAPP @t1537 @t2840)) % 47.01/47.28 (define @t2927 () (forall @t7 (=> @t427 @t961))) % 47.01/47.28 (define @t2928 () (tptp.hBOOL (tptp.hAPP @t822 (tptp.hAPP @t2859 @t386)))) % 47.01/47.28 (define @t2929 () (@list @t2 @t386 @t15)) % 47.01/47.28 (define @t2930 () (= @t2300 @t2873)) % 47.01/47.28 (define @t2931 () (=> @t1363 @t2930)) % 47.01/47.28 (define @t2932 () (tptp.hAPP (tptp.hAPP @t2836 (tptp.hAPP @t1068 @t1536)) @t386)) % 47.01/47.28 (define @t2933 () (tptp.hAPP (tptp.hAPP @t2836 (tptp.hAPP @t1076 @t1536)) @t386)) % 47.01/47.28 (define @t2934 () (tptp.hAPP @t2837 @t339)) % 47.01/47.28 (define @t2935 () (tptp.c_COMBB @t243 tptp.tc_HOL_Obool @t54)) % 47.01/47.28 (define @t2936 () (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t54)) % 47.01/47.28 (define @t2937 () (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t54)) % 47.01/47.28 (define @t2938 () (tptp.hAPP @t2937 tptp.c_fconj)) % 47.01/47.28 (define @t2939 () (tptp.tc_fun @t54 @t517)) % 47.01/47.28 (define @t2940 () (tptp.hAPP (tptp.c_COMBB @t243 @t2939 @t54) @t2938)) % 47.01/47.28 (define @t2941 () (tptp.c_COMBS @t54 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t2942 () (tptp.tc_fun @t243 @t243)) % 47.01/47.28 (define @t2943 () (tptp.hAPP (tptp.c_COMBB @t2939 @t2942 @t54) @t2941)) % 47.01/47.28 (define @t2944 () (tptp.c_COMBC @t54 @t243 @t243)) % 47.01/47.28 (define @t2945 () (tptp.c_HOL_OEx @t54)) % 47.01/47.28 (define @t2946 () (tptp.hAPP @t2926 (tptp.hAPP @t2837 @t48))) % 47.01/47.28 (define @t2947 () (tptp.hAPP @t2837 @t57)) % 47.01/47.28 (define @t2948 () (=> @t928 (= @t2840 @t1541))) % 47.01/47.28 (define @t2949 () (tptp.hAPP @t2891 @t222)) % 47.01/47.28 (define @t2950 () (tptp.hAPP @t220 @t2845)) % 47.01/47.28 (define @t2951 () (tptp.hAPP @t421 @t48)) % 47.01/47.28 (define @t2952 () (tptp.hAPP (tptp.c_Set_Ovimage @t71 @t15 (tptp.hAPP (tptp.hAPP @t1668 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t15 @t886) (tptp.hAPP @t2435 @t2951)) @t281)) @t345)) @t51)) % 47.01/47.28 (define @t2953 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t345) @t51))) % 47.01/47.28 (define @t2954 () (not @t2953)) % 47.01/47.28 (define @t2955 () (= @t2947 @t2946)) % 47.01/47.28 (define @t2956 () (tptp.hAPP @t2925 @t386)) % 47.01/47.28 (define @t2957 () (not (= @t386 @t289))) % 47.01/47.28 (define @t2958 () (@list @t386 @t15)) % 47.01/47.28 (define @t2959 () (tptp.hAPP @t2904 @t1153)) % 47.01/47.28 (define @t2960 () (tptp.hAPP @t2904 @t386)) % 47.01/47.28 (define @t2961 () (tptp.hAPP @t1207 @t386)) % 47.01/47.28 (define @t2962 () (tptp.c_Power_Opower__class_Opower @t71)) % 47.01/47.28 (define @t2963 () (tptp.hAPP @t2962 @t281)) % 47.01/47.28 (define @t2964 () (tptp.hAPP (tptp.hAPP @t2836 (tptp.hAPP @t1068 @t281)) @t386)) % 47.01/47.28 (define @t2965 () (tptp.hAPP @t2904 @t614)) % 47.01/47.28 (define @t2966 () (tptp.c_Rings_Oinverse__class_Odivide @t71)) % 47.01/47.28 (define @t2967 () (tptp.hAPP @t2966 @t2905)) % 47.01/47.28 (define @t2968 () (tptp.class_Fields_Ofield @t71)) % 47.01/47.28 (define @t2969 () (forall @t7 (=> @t1156 @t1830))) % 47.01/47.28 (define @t2970 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 47.01/47.28 (define @t2971 () (tptp.hAPP @t2970 @t1889)) % 47.01/47.28 (define @t2972 () (tptp.hAPP @t1873 @t2971)) % 47.01/47.28 (define @t2973 () (tptp.hAPP @t2970 (tptp.hAPP @t1871 @t370))) % 47.01/47.28 (define @t2974 () (tptp.hAPP @t1882 @t2973)) % 47.01/47.28 (define @t2975 () (tptp.hAPP @t2970 @t2038)) % 47.01/47.28 (define @t2976 () (tptp.hAPP @t2970 @t101)) % 47.01/47.28 (define @t2977 () (tptp.hAPP @t1878 @t2976)) % 47.01/47.28 (define @t2978 () (tptp.c_Rings_Oinverse__class_Odivide @t76)) % 47.01/47.28 (define @t2979 () (tptp.hAPP @t2978 @t2873)) % 47.01/47.28 (define @t2980 () (tptp.hAPP @t2978 @t112)) % 47.01/47.28 (define @t2981 () (tptp.hAPP @t2980 @t116)) % 47.01/47.28 (define @t2982 () (tptp.hAPP @t2864 @t2981)) % 47.01/47.28 (define @t2983 () (tptp.class_Rings_Odivision__ring @t76)) % 47.01/47.28 (define @t2984 () (tptp.c_Power_Opower__class_Opower @t76)) % 47.01/47.28 (define @t2985 () (tptp.hAPP @t2984 @t75)) % 47.01/47.28 (define @t2986 () (@var "V_p" $$unsorted)) % 47.01/47.28 (define @t2987 () (tptp.hAPP @t1625 @t2986)) % 47.01/47.28 (define @t2988 () (tptp.hAPP @t2985 @t2986)) % 47.01/47.28 (define @t2989 () (@list @t2100 @t2986 @t75 @t76)) % 47.01/47.28 (define @t2990 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 47.01/47.28 (define @t2991 () (tptp.hAPP @t2990 @t75)) % 47.01/47.28 (define @t2992 () (tptp.hAPP @t2991 @t95)) % 47.01/47.28 (define @t2993 () (tptp.hAPP (tptp.hAPP @t2978 @t116) @t113)) % 47.01/47.28 (define @t2994 () (tptp.hAPP @t2980 @t113)) % 47.01/47.28 (define @t2995 () (tptp.hAPP @t2984 @t95)) % 47.01/47.28 (define @t2996 () (tptp.hAPP @t2985 @t2100)) % 47.01/47.28 (define @t2997 () (tptp.hAPP @t1559 @t2996)) % 47.01/47.28 (define @t2998 () (tptp.hAPP (tptp.hAPP @t2990 @t1876) @t369)) % 47.01/47.28 (define @t2999 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t3000 () (tptp.hAPP (tptp.hAPP @t2999 @t488) @t369)) % 47.01/47.28 (define @t3001 () (tptp.hAPP @t1871 @t3000)) % 47.01/47.28 (define @t3002 () (@list @t369 @t75)) % 47.01/47.28 (define @t3003 () (tptp.hAPP @t2978 @t1221)) % 47.01/47.28 (define @t3004 () (tptp.class_Rings_Odivision__ring__inverse__zero @t76)) % 47.01/47.28 (define @t3005 () (tptp.hAPP @t2991 @t369)) % 47.01/47.28 (define @t3006 () (tptp.hAPP (tptp.hAPP @t2990 @t101) @t369)) % 47.01/47.28 (define @t3007 () (tptp.c_Rings_Oinverse__class_Odivide @t15)) % 47.01/47.28 (define @t3008 () (tptp.class_Fields_Ofield @t15)) % 47.01/47.28 (define @t3009 () (= @t1611 @t294)) % 47.01/47.28 (define @t3010 () (tptp.hAPP @t3007 @t294)) % 47.01/47.28 (define @t3011 () (tptp.hAPP @t3010 @t281)) % 47.01/47.28 (define @t3012 () (= @t290 @t3011)) % 47.01/47.28 (define @t3013 () (= @t281 @t624)) % 47.01/47.28 (define @t3014 () (not @t3013)) % 47.01/47.28 (define @t3015 () (tptp.class_Rings_Odivision__ring @t15)) % 47.01/47.28 (define @t3016 () (= @t294 @t1611)) % 47.01/47.28 (define @t3017 () (= @t3011 @t290)) % 47.01/47.28 (define @t3018 () (@list @t290 @t294 @t281 @t15)) % 47.01/47.28 (define @t3019 () (= @t113 @t636)) % 47.01/47.28 (define @t3020 () (not @t3019)) % 47.01/47.28 (define @t3021 () (tptp.hAPP (tptp.hAPP @t3007 @t290) @t294)) % 47.01/47.28 (define @t3022 () (tptp.hAPP @t2980 @t112)) % 47.01/47.28 (define @t3023 () (=> @t1588 (= @t3022 @t1456))) % 47.01/47.28 (define @t3024 () (= (tptp.hAPP @t2979 @t2874) @t2981)) % 47.01/47.28 (define @t3025 () (= @t2982 (tptp.hAPP @t2980 @t2874))) % 47.01/47.28 (define @t3026 () (tptp.hAPP @t2985 (tptp.hAPP tptp.c_Nat_OSuc @t2100))) % 47.01/47.28 (define @t3027 () (@list @t2100 @t75 @t76)) % 47.01/47.28 (define @t3028 () (tptp.hAPP @t1579 @t2996)) % 47.01/47.28 (define @t3029 () (and @t554 @t903)) % 47.01/47.28 (define @t3030 () (tptp.hAPP @t2059 @t2975)) % 47.01/47.28 (define @t3031 () (tptp.hAPP @t2262 @t2038)) % 47.01/47.28 (define @t3032 () (tptp.c_Power_Opower__class_Opower @t15)) % 47.01/47.28 (define @t3033 () (tptp.hAPP @t3032 @t290)) % 47.01/47.28 (define @t3034 () (tptp.hAPP @t3033 @t260)) % 47.01/47.28 (define @t3035 () (@list @t260 @t290 @t15)) % 47.01/47.28 (define @t3036 () (tptp.hAPP @t3032 @t47)) % 47.01/47.28 (define @t3037 () (tptp.hAPP @t2289 @t559)) % 47.01/47.28 (define @t3038 () (tptp.hBOOL (tptp.hAPP @t1917 @t1870))) % 47.01/47.28 (define @t3039 () (@list @t559)) % 47.01/47.28 (define @t3040 () (tptp.hAPP @t2999 @t2986)) % 47.01/47.28 (define @t3041 () (tptp.hAPP @t3040 @t488)) % 47.01/47.28 (define @t3042 () (@list @t260 @t47)) % 47.01/47.28 (define @t3043 () (tptp.hAPP @t2999 @t1826)) % 47.01/47.28 (define @t3044 () (tptp.c_Finite__Set_Ocard @t54)) % 47.01/47.28 (define @t3045 () (tptp.hAPP @t2984 @t116)) % 47.01/47.28 (define @t3046 () (tptp.hAPP @t3045 @t369)) % 47.01/47.28 (define @t3047 () (tptp.hAPP @t2984 @t112)) % 47.01/47.28 (define @t3048 () (tptp.hAPP @t3047 @t369)) % 47.01/47.28 (define @t3049 () (tptp.hAPP @t712 @t3048)) % 47.01/47.28 (define @t3050 () (tptp.hBOOL (tptp.hAPP @t3049 @t3046))) % 47.01/47.28 (define @t3051 () (@list @t369 @t116 @t112 @t76)) % 47.01/47.28 (define @t3052 () (tptp.hAPP @t3047 @t488)) % 47.01/47.28 (define @t3053 () (tptp.class_Fields_Ofield @t76)) % 47.01/47.28 (define @t3054 () (tptp.hBOOL (tptp.hAPP @t1465 @t112))) % 47.01/47.28 (define @t3055 () (@list @t369 @t112 @t76)) % 47.01/47.28 (define @t3056 () (tptp.hAPP @t3032 @t294)) % 47.01/47.28 (define @t3057 () (tptp.hAPP @t3056 @t128)) % 47.01/47.28 (define @t3058 () (tptp.hAPP @t3056 @t47)) % 47.01/47.28 (define @t3059 () (tptp.hAPP @t714 @t1459)) % 47.01/47.28 (define @t3060 () (tptp.hBOOL (tptp.hAPP @t3059 @t294))) % 47.01/47.28 (define @t3061 () (@list @t128 @t47 @t294 @t15)) % 47.01/47.28 (define @t3062 () (@list @t369 @t488 @t112 @t76)) % 47.01/47.28 (define @t3063 () (tptp.hAPP @t2999 @t47)) % 47.01/47.28 (define @t3064 () (tptp.hAPP @t2999 @t559)) % 47.01/47.28 (define @t3065 () (tptp.hAPP @t3064 @t369)) % 47.01/47.28 (define @t3066 () (@list @t369 @t488 @t559)) % 47.01/47.28 (define @t3067 () (tptp.hAPP @t1559 @t3048)) % 47.01/47.28 (define @t3068 () (tptp.hAPP @t1576 @t3048)) % 47.01/47.28 (define @t3069 () (tptp.hAPP @t3067 @t112)) % 47.01/47.28 (define @t3070 () (tptp.hAPP @t2984 @t1456)) % 47.01/47.28 (define @t3071 () (= (tptp.hAPP (tptp.hAPP @t2984 @t2981) @t369) (tptp.hAPP (tptp.hAPP @t2978 @t3048) @t3046))) % 47.01/47.28 (define @t3072 () (tptp.class_Fields_Ofield__inverse__zero @t76)) % 47.01/47.28 (define @t3073 () (tptp.hAPP @t2984 @t2300)) % 47.01/47.28 (define @t3074 () (tptp.hAPP @t3073 @t369)) % 47.01/47.28 (define @t3075 () (tptp.hAPP @t2299 @t3048)) % 47.01/47.28 (define @t3076 () (tptp.hAPP @t77 @t3048)) % 47.01/47.28 (define @t3077 () (tptp.class_Power_Opower @t15)) % 47.01/47.28 (define @t3078 () (tptp.hBOOL (tptp.hAPP @t1464 @t112))) % 47.01/47.28 (define @t3079 () (tptp.hAPP @t2984 @t636)) % 47.01/47.28 (define @t3080 () (tptp.class_Power_Opower @t76)) % 47.01/47.28 (define @t3081 () (and @t3080 (tptp.class_Rings_Osemiring__0 @t76))) % 47.01/47.28 (define @t3082 () (tptp.hAPP @t3047 @t370)) % 47.01/47.28 (define @t3083 () (tptp.hAPP @t2978 @t1456)) % 47.01/47.28 (define @t3084 () (tptp.hAPP @t2984 @t2873)) % 47.01/47.28 (define @t3085 () (tptp.hAPP @t3084 @t369)) % 47.01/47.28 (define @t3086 () (@list @t116 @t369 @t112 @t76)) % 47.01/47.28 (define @t3087 () (tptp.hAPP @t3045 @t370)) % 47.01/47.28 (define @t3088 () (tptp.hAPP @t3079 @t369)) % 47.01/47.28 (define @t3089 () (@var "V_N" $$unsorted)) % 47.01/47.28 (define @t3090 () (tptp.hAPP @t3047 @t3089)) % 47.01/47.28 (define @t3091 () (tptp.hBOOL (tptp.hAPP @t817 @t3089))) % 47.01/47.28 (define @t3092 () (@list @t112 @t3089 @t369 @t76)) % 47.01/47.28 (define @t3093 () (tptp.hBOOL (tptp.hAPP @t553 @t3089))) % 47.01/47.28 (define @t3094 () (tptp.hAPP @t2984 @t2914)) % 47.01/47.28 (define @t3095 () (tptp.hBOOL (tptp.hAPP @t731 @t1456))) % 47.01/47.28 (define @t3096 () (not @t1697)) % 47.01/47.28 (define @t3097 () (tptp.hBOOL (tptp.hAPP @t1674 @t1611))) % 47.01/47.28 (define @t3098 () (not @t1698)) % 47.01/47.28 (define @t3099 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1611) @t294))) % 47.01/47.28 (define @t3100 () (tptp.hBOOL (tptp.hAPP @t626 @t3011))) % 47.01/47.28 (define @t3101 () (tptp.class_Fields_Olinordered__field__inverse__zero @t15)) % 47.01/47.28 (define @t3102 () (tptp.hAPP @t130 @t3011)) % 47.01/47.28 (define @t3103 () (tptp.hBOOL (tptp.hAPP @t3102 @t290))) % 47.01/47.28 (define @t3104 () (@list @t290 @t281 @t294 @t15)) % 47.01/47.28 (define @t3105 () (tptp.hAPP @t2978 @t75)) % 47.01/47.28 (define @t3106 () (tptp.hAPP @t3105 @t95)) % 47.01/47.28 (define @t3107 () (= (tptp.hAPP @t2299 @t2981) (tptp.hAPP (tptp.hAPP @t2978 @t2300) @t2304))) % 47.01/47.28 (define @t3108 () (tptp.class_Fields_Olinordered__field__inverse__zero @t76)) % 47.01/47.28 (define @t3109 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2994) @t2993))) % 47.01/47.28 (define @t3110 () (tptp.class_Fields_Olinordered__field @t76)) % 47.01/47.28 (define @t3111 () (tptp.hBOOL (tptp.hAPP @t1355 @t3106))) % 47.01/47.28 (define @t3112 () (tptp.hBOOL (tptp.hAPP @t722 @t636))) % 47.01/47.28 (define @t3113 () (tptp.hBOOL (tptp.hAPP @t713 @t636))) % 47.01/47.28 (define @t3114 () (tptp.hAPP @t712 @t3106)) % 47.01/47.28 (define @t3115 () (tptp.hBOOL (tptp.hAPP @t3114 @t636))) % 47.01/47.28 (define @t3116 () (tptp.hBOOL (tptp.hAPP @t1355 @t95))) % 47.01/47.28 (define @t3117 () (tptp.hBOOL (tptp.hAPP @t1355 @t75))) % 47.01/47.28 (define @t3118 () (tptp.hBOOL (tptp.hAPP @t1351 @t294))) % 47.01/47.28 (define @t3119 () (tptp.hBOOL (tptp.hAPP @t1695 @t624))) % 47.01/47.28 (define @t3120 () (= @t202 @t624)) % 47.01/47.28 (define @t3121 () (=> @t3013 @t1261)) % 47.01/47.28 (define @t3122 () (tptp.class_Fields_Ofield__inverse__zero @t15)) % 47.01/47.28 (define @t3123 () (tptp.hBOOL (tptp.hAPP @t1338 @t3106))) % 47.01/47.28 (define @t3124 () (tptp.hBOOL (tptp.hAPP @t78 @t636))) % 47.01/47.28 (define @t3125 () (tptp.hAPP @t77 @t3106)) % 47.01/47.28 (define @t3126 () (tptp.hBOOL (tptp.hAPP @t3125 @t636))) % 47.01/47.28 (define @t3127 () (tptp.hAPP @t2978 @t95)) % 47.01/47.28 (define @t3128 () (tptp.hAPP @t3127 @t2038)) % 47.01/47.28 (define @t3129 () (tptp.hAPP @t3105 @t101)) % 47.01/47.28 (define @t3130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2038) @t101))) % 47.01/47.28 (define @t3131 () (tptp.hBOOL (tptp.hAPP @t1355 @t2038))) % 47.01/47.28 (define @t3132 () (@list @t101 @t2038 @t95 @t75 @t76)) % 47.01/47.28 (define @t3133 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3129) @t3128))) % 47.01/47.28 (define @t3134 () (tptp.hBOOL (tptp.hAPP @t1695 @t1611))) % 47.01/47.28 (define @t3135 () (tptp.hBOOL (tptp.hAPP @t1700 @t294))) % 47.01/47.28 (define @t3136 () (tptp.hBOOL (tptp.hAPP @t761 @t3011))) % 47.01/47.28 (define @t3137 () (tptp.hAPP @t714 @t3011)) % 47.01/47.28 (define @t3138 () (tptp.hBOOL (tptp.hAPP @t3137 @t290))) % 47.01/47.28 (define @t3139 () (tptp.hAPP @t1559 @t101)) % 47.01/47.28 (define @t3140 () (tptp.hAPP @t3139 @t95)) % 47.01/47.28 (define @t3141 () (tptp.hAPP @t2978 @t113)) % 47.01/47.28 (define @t3142 () (tptp.hAPP @t3141 @t116)) % 47.01/47.28 (define @t3143 () (tptp.hAPP @t3141 @t112)) % 47.01/47.28 (define @t3144 () (=> @t1705 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3143) @t3142)))) % 47.01/47.28 (define @t3145 () (tptp.hAPP @t1762 @t101)) % 47.01/47.28 (define @t3146 () (tptp.hAPP (tptp.hAPP @t1559 @t2038) @t95)) % 47.01/47.28 (define @t3147 () (tptp.hAPP (tptp.hAPP @t2978 @t2038) @t101)) % 47.01/47.28 (define @t3148 () (tptp.hAPP @t1213 @t3106)) % 47.01/47.28 (define @t3149 () (not (= @t101 @t636))) % 47.01/47.28 (define @t3150 () (not (= @t95 @t636))) % 47.01/47.28 (define @t3151 () (@list @t2038 @t75 @t101 @t95 @t76)) % 47.01/47.28 (define @t3152 () (tptp.hAPP @t2978 (tptp.hAPP @t2711 @t3140))) % 47.01/47.28 (define @t3153 () (@list @t95 @t75 @t101 @t76)) % 47.01/47.28 (define @t3154 () (tptp.hAPP @t3152 @t95)) % 47.01/47.28 (define @t3155 () (tptp.hAPP @t3139 @t75)) % 47.01/47.28 (define @t3156 () (tptp.hAPP @t3127 @t101)) % 47.01/47.28 (define @t3157 () (tptp.hAPP @t1213 @t101)) % 47.01/47.28 (define @t3158 () (tptp.hAPP @t3003 @t1470)) % 47.01/47.28 (define @t3159 () (tptp.hAPP @t2299 @t75)) % 47.01/47.28 (define @t3160 () (=> @t1705 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3143) @t3142)))) % 47.01/47.28 (define @t3161 () (tptp.hAPP @t2904 @t48)) % 47.01/47.28 (define @t3162 () (tptp.hAPP @t2990 @t558)) % 47.01/47.28 (define @t3163 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3164 () (@list @t558 @t488)) % 47.01/47.28 (define @t3165 () (tptp.c_Divides_Odiv__class_Odiv @t76)) % 47.01/47.28 (define @t3166 () (tptp.hAPP @t3165 @t112)) % 47.01/47.28 (define @t3167 () (tptp.class_Divides_Osemiring__div @t76)) % 47.01/47.28 (define @t3168 () (tptp.hAPP @t3163 @t75)) % 47.01/47.28 (define @t3169 () (tptp.hAPP @t3168 @t95)) % 47.01/47.28 (define @t3170 () (@list @t116)) % 47.01/47.28 (define @t3171 () (tptp.hAPP @t2970 @t112)) % 47.01/47.28 (define @t3172 () (tptp.hAPP @t3163 @t3171)) % 47.01/47.28 (define @t3173 () (tptp.hAPP @t3172 @t116)) % 47.01/47.28 (define @t3174 () (tptp.hAPP @t2970 @t116)) % 47.01/47.28 (define @t3175 () (tptp.hAPP @t3163 @t112)) % 47.01/47.28 (define @t3176 () (tptp.hAPP @t3175 @t3174)) % 47.01/47.28 (define @t3177 () (@list @t116 @t112)) % 47.01/47.28 (define @t3178 () (tptp.hAPP @t3175 @t116)) % 47.01/47.28 (define @t3179 () (tptp.hBOOL (tptp.hAPP @t1919 @t116))) % 47.01/47.28 (define @t3180 () (tptp.hAPP @t1882 @t112)) % 47.01/47.28 (define @t3181 () (tptp.hBOOL (tptp.hAPP @t3180 @t1870))) % 47.01/47.28 (define @t3182 () (tptp.hAPP @t3163 @t290)) % 47.01/47.28 (define @t3183 () (tptp.hAPP @t3182 @t294)) % 47.01/47.28 (define @t3184 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3183) @t1870))) % 47.01/47.28 (define @t3185 () (tptp.hAPP @t1882 @t294)) % 47.01/47.28 (define @t3186 () (tptp.hBOOL (tptp.hAPP @t3185 @t1870))) % 47.01/47.28 (define @t3187 () (@list @t290 @t294)) % 47.01/47.28 (define @t3188 () (tptp.hAPP @t1882 @t290)) % 47.01/47.28 (define @t3189 () (tptp.hAPP @t1919 @t294)) % 47.01/47.28 (define @t3190 () (tptp.hBOOL @t3189)) % 47.01/47.28 (define @t3191 () (= @t112 @t1870)) % 47.01/47.28 (define @t3192 () (not @t3191)) % 47.01/47.28 (define @t3193 () (tptp.hAPP @t3166 @t116)) % 47.01/47.28 (define @t3194 () (tptp.hAPP (tptp.hAPP @t3165 @t1689) @t1688)) % 47.01/47.28 (define @t3195 () (=> @t3020 (= @t3194 @t3193))) % 47.01/47.28 (define @t3196 () (@var "V_a_H" $$unsorted)) % 47.01/47.28 (define @t3197 () (tptp.hAPP (tptp.hAPP @t3163 @t3196) @t116)) % 47.01/47.28 (define @t3198 () (tptp.hBOOL (tptp.hAPP @t2131 @t1870))) % 47.01/47.28 (define @t3199 () (tptp.hAPP @t1873 @t112)) % 47.01/47.28 (define @t3200 () (tptp.hBOOL (tptp.hAPP @t3199 @t3196))) % 47.01/47.28 (define @t3201 () (@list @t116 @t3196 @t112)) % 47.01/47.28 (define @t3202 () (tptp.hAPP @t1873 @t3178)) % 47.01/47.28 (define @t3203 () (= @t3178 @t1870)) % 47.01/47.28 (define @t3204 () (tptp.hBOOL (tptp.hAPP @t2131 @t112))) % 47.01/47.28 (define @t3205 () (tptp.hBOOL (tptp.hAPP @t3199 @t1870))) % 47.01/47.28 (define @t3206 () (tptp.hAPP @t3175 @t2110)) % 47.01/47.28 (define @t3207 () (@list @t116 @t2110 @t112)) % 47.01/47.28 (define @t3208 () (tptp.hBOOL (tptp.hAPP @t3202 @t1870))) % 47.01/47.28 (define @t3209 () (tptp.hBOOL (tptp.hAPP @t2025 @t3183))) % 47.01/47.28 (define @t3210 () (tptp.hBOOL (tptp.hAPP @t3180 @t116))) % 47.01/47.28 (define @t3211 () (tptp.hBOOL (tptp.hAPP @t2025 @t112))) % 47.01/47.28 (define @t3212 () (tptp.hAPP @t1873 @t294)) % 47.01/47.28 (define @t3213 () (tptp.hBOOL (tptp.hAPP @t2025 @t290))) % 47.01/47.28 (define @t3214 () (@list @t294 @t290)) % 47.01/47.28 (define @t3215 () (tptp.hAPP (tptp.hAPP @t3163 @t1144) @t469)) % 47.01/47.28 (define @t3216 () (tptp.hBOOL (tptp.hAPP @t1919 @t469))) % 47.01/47.28 (define @t3217 () (= @t469 @t1870)) % 47.01/47.28 (define @t3218 () (tptp.hAPP @t2123 @t113)) % 47.01/47.28 (define @t3219 () (tptp.hBOOL (tptp.hAPP @t1919 @t113))) % 47.01/47.28 (define @t3220 () (@list @t116 @t112 @t113)) % 47.01/47.28 (define @t3221 () (@var "V_one_2" $$unsorted)) % 47.01/47.28 (define @t3222 () (@var "V_times_2" $$unsorted)) % 47.01/47.28 (define @t3223 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t15 @t3221 @t3222) @t290)) % 47.01/47.28 (define @t3224 () (tptp.hAPP @t1214 @t3193)) % 47.01/47.28 (define @t3225 () (tptp.hAPP @t1219 @t1688)) % 47.01/47.28 (define @t3226 () (tptp.hAPP @t1219 @t1582)) % 47.01/47.28 (define @t3227 () (tptp.hAPP (tptp.hAPP @t1213 @t3193) @t1456)) % 47.01/47.28 (define @t3228 () (@var "V_b_1" $$unsorted)) % 47.01/47.28 (define @t3229 () (@var "V_a_1" $$unsorted)) % 47.01/47.28 (define @t3230 () (not (= @t3228 @t1870))) % 47.01/47.28 (define @t3231 () (@var "V_r_1" $$unsorted)) % 47.01/47.28 (define @t3232 () (tptp.hAPP @t1882 @t3228)) % 47.01/47.28 (define @t3233 () (tptp.hBOOL (tptp.hAPP @t1919 @t3228))) % 47.01/47.28 (define @t3234 () (not @t3233)) % 47.01/47.28 (define @t3235 () (tptp.hAPP @t1891 @t3228)) % 47.01/47.28 (define @t3236 () (= @t260 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2205 @t948)) @t900))) % 47.01/47.28 (define @t3237 () (and (tptp.hBOOL (tptp.hAPP @t2044 @t900)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t900) @t1870)) @t3236)) % 47.01/47.28 (define @t3238 () (tptp.hAPP @t2044 @t1870)) % 47.01/47.28 (define @t3239 () (tptp.hBOOL @t3238)) % 47.01/47.28 (define @t3240 () (and (tptp.hBOOL (tptp.hAPP @t2025 @t900)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t900) @t469)) @t3236)) % 47.01/47.28 (define @t3241 () (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t3163 @t260) @t469))) % 47.01/47.28 (define @t3242 () (@list @t469 @t260 @t35)) % 47.01/47.28 (define @t3243 () (tptp.hAPP @t2970 @t666)) % 47.01/47.28 (define @t3244 () (tptp.hAPP @t3163 @t558)) % 47.01/47.28 (define @t3245 () (tptp.c_SMT_Oz3div @t558 @t666)) % 47.01/47.28 (define @t3246 () (tptp.hBOOL (tptp.hAPP @t2025 @t666))) % 47.01/47.28 (define @t3247 () (not @t3246)) % 47.01/47.28 (define @t3248 () (tptp.hAPP @t3244 @t666)) % 47.01/47.28 (define @t3249 () (@list @t558 @t666)) % 47.01/47.28 (define @t3250 () (tptp.c_Int_Oring__1__class_Oof__int @t76)) % 47.01/47.28 (define @t3251 () (tptp.hAPP @t3250 @t558)) % 47.01/47.28 (define @t3252 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t558) @t1870))) % 47.01/47.28 (define @t3253 () (tptp.hAPP @t2970 @t558)) % 47.01/47.28 (define @t3254 () (@list @t558 @t76)) % 47.01/47.28 (define @t3255 () (@list @t75)) % 47.01/47.28 (define @t3256 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t3257 () (tptp.hAPP @t3256 @t112)) % 47.01/47.28 (define @t3258 () (tptp.hAPP @t3257 @t116)) % 47.01/47.28 (define @t3259 () (tptp.hAPP @t1625 @t116)) % 47.01/47.28 (define @t3260 () (tptp.hAPP @t3259 @t113)) % 47.01/47.28 (define @t3261 () (tptp.hAPP @t3256 @t369)) % 47.01/47.28 (define @t3262 () (tptp.hAPP @t3256 @t488)) % 47.01/47.28 (define @t3263 () (tptp.hAPP @t3262 @t369)) % 47.01/47.28 (define @t3264 () (tptp.c_Int_Oring__1__class_Oof__int @t15)) % 47.01/47.28 (define @t3265 () (tptp.hAPP @t3264 @t202)) % 47.01/47.28 (define @t3266 () (tptp.hAPP @t3264 @t1615)) % 47.01/47.28 (define @t3267 () (@list @t202 @t1615 @t15)) % 47.01/47.28 (define @t3268 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3269 () (=> @t821 (= @t3263 @t520))) % 47.01/47.28 (define @t3270 () (tptp.hAPP (tptp.hAPP @t3256 @t1641) @t1640)) % 47.01/47.28 (define @t3271 () (= @t3270 @t3263)) % 47.01/47.28 (define @t3272 () (= @t558 @t520)) % 47.01/47.28 (define @t3273 () (tptp.hAPP @t1871 @t116)) % 47.01/47.28 (define @t3274 () (tptp.hAPP @t1871 @t112)) % 47.01/47.28 (define @t3275 () (@list @t202 @t15)) % 47.01/47.28 (define @t3276 () (tptp.hAPP @t3250 @t101)) % 47.01/47.28 (define @t3277 () (tptp.hAPP @t3250 @t2038)) % 47.01/47.28 (define @t3278 () (@list @t101 @t2038 @t76)) % 47.01/47.28 (define @t3279 () (@list @t101 @t76)) % 47.01/47.28 (define @t3280 () (tptp.hAPP @t3256 @t558)) % 47.01/47.28 (define @t3281 () (tptp.hAPP @t816 @t1449)) % 47.01/47.28 (define @t3282 () (tptp.hBOOL (tptp.hAPP @t3281 @t369))) % 47.01/47.28 (define @t3283 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t15 @t71) @t3264) @t2)) % 47.01/47.28 (define @t3284 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3256 @t647) @t369))) % 47.01/47.28 (define @t3285 () (= @t3263 @t3284)) % 47.01/47.28 (define @t3286 () (=> @t875 @t3285)) % 47.01/47.28 (define @t3287 () (= @t260 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t1630 @t948)) @t900))) % 47.01/47.28 (define @t3288 () (tptp.hBOOL (tptp.hAPP @t901 @t469))) % 47.01/47.28 (define @t3289 () (@list @t948 @t900)) % 47.01/47.28 (define @t3290 () (not @t1447)) % 47.01/47.28 (define @t3291 () (tptp.hAPP (tptp.hAPP @t3256 @t2212) @t2211)) % 47.01/47.28 (define @t3292 () (tptp.hAPP tptp.c_Int_Onat @t3169)) % 47.01/47.28 (define @t3293 () (tptp.hAPP (tptp.hAPP @t3256 @t496) @t260)) % 47.01/47.28 (define @t3294 () (@var "V_q_2" $$unsorted)) % 47.01/47.28 (define @t3295 () (@var "B_q" $$unsorted)) % 47.01/47.28 (define @t3296 () (@list @t3295)) % 47.01/47.28 (define @t3297 () (tptp.c_Nitpick_Onat__gcd @t75 @t95)) % 47.01/47.28 (define @t3298 () (tptp.hBOOL (tptp.hAPP @t1533 @t900))) % 47.01/47.28 (define @t3299 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t260 @t469)) % 47.01/47.28 (define @t3300 () (tptp.hBOOL (tptp.hAPP @t3241 @t3299))) % 47.01/47.28 (define @t3301 () (@list @t260 @t35 @t469)) % 47.01/47.28 (define @t3302 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t75 @t488)) % 47.01/47.28 (define @t3303 () (@list @t95 @t488 @t75)) % 47.01/47.28 (define @t3304 () (tptp.c_Divides_Odiv__class_Omod @t76 @t112 @t116)) % 47.01/47.28 (define @t3305 () (tptp.c_Divides_Odiv__class_Omod @t76 @t1272 @t113)) % 47.01/47.28 (define @t3306 () (tptp.c_Divides_Odiv__class_Omod @t76 @t116 @t113)) % 47.01/47.28 (define @t3307 () (= @t3306 (tptp.c_Divides_Odiv__class_Omod @t76 @t2110 @t113))) % 47.01/47.28 (define @t3308 () (tptp.c_Divides_Odiv__class_Omod @t76 @t112 @t113)) % 47.01/47.28 (define @t3309 () (= @t3308 (tptp.c_Divides_Odiv__class_Omod @t76 @t3196 @t113))) % 47.01/47.28 (define @t3310 () (tptp.class_Divides_Oring__div @t76)) % 47.01/47.28 (define @t3311 () (@list @t2110 @t116 @t3196 @t113 @t112 @t76)) % 47.01/47.28 (define @t3312 () (tptp.hAPP @t637 @t3308)) % 47.01/47.28 (define @t3313 () (tptp.c_Divides_Odiv__class_Omod @t76 @t1577 @t113)) % 47.01/47.28 (define @t3314 () (tptp.hAPP @t1559 @t3308)) % 47.01/47.28 (define @t3315 () (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3314 @t116) @t113)) % 47.01/47.28 (define @t3316 () (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t1219 @t3306) @t113)) % 47.01/47.28 (define @t3317 () (tptp.c_Divides_Odiv__class_Omod @t76 @t1221 @t113)) % 47.01/47.28 (define @t3318 () (tptp.hAPP @t1213 @t3308)) % 47.01/47.28 (define @t3319 () (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3318 @t116) @t113)) % 47.01/47.28 (define @t3320 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t116 @t113)) % 47.01/47.28 (define @t3321 () (tptp.hAPP @t2102 @t3320)) % 47.01/47.28 (define @t3322 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3321 @t113)) % 47.01/47.28 (define @t3323 () (tptp.hAPP @t2102 @t116)) % 47.01/47.28 (define @t3324 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3323 @t113)) % 47.01/47.28 (define @t3325 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2198 @t488)) % 47.01/47.28 (define @t3326 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t75 @t95)) % 47.01/47.28 (define @t3327 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3171 @t116)) % 47.01/47.28 (define @t3328 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t3174)) % 47.01/47.28 (define @t3329 () (tptp.c_Divides_Odiv__class_Omod @t76 @t2873 @t116)) % 47.01/47.28 (define @t3330 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t116)) % 47.01/47.28 (define @t3331 () (tptp.hBOOL (tptp.hAPP @t2131 @t3330))) % 47.01/47.28 (define @t3332 () (@list @t112 @t116)) % 47.01/47.28 (define @t3333 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3330) @t116))) % 47.01/47.28 (define @t3334 () (@list @t345 @t496)) % 47.01/47.28 (define @t3335 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t558 @t666)) % 47.01/47.28 (define @t3336 () (not (= @t3335 @t1870))) % 47.01/47.28 (define @t3337 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t558 @t3243)) % 47.01/47.28 (define @t3338 () (@list @t666 @t558)) % 47.01/47.28 (define @t3339 () (tptp.hAPP @t3163 @t116)) % 47.01/47.28 (define @t3340 () (tptp.hAPP @t3339 @t113)) % 47.01/47.28 (define @t3341 () (tptp.hAPP @t1878 @t112)) % 47.01/47.28 (define @t3342 () (tptp.hAPP @t3341 @t116)) % 47.01/47.28 (define @t3343 () (tptp.hAPP (tptp.hAPP @t1559 @t3193) @t116)) % 47.01/47.28 (define @t3344 () (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t1574 @t3193)) @t3304)) % 47.01/47.28 (define @t3345 () (tptp.hAPP (tptp.hAPP @t1213 @t3343) @t3304)) % 47.01/47.28 (define @t3346 () (= @t3330 @t112)) % 47.01/47.28 (define @t3347 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3330) @t1870))) % 47.01/47.28 (define @t3348 () (tptp.hBOOL (tptp.hAPP @t2025 @t3330))) % 47.01/47.28 (define @t3349 () (= @t3330 @t1870)) % 47.01/47.28 (define @t3350 () (not @t3349)) % 47.01/47.28 (define @t3351 () (tptp.hAPP @t1924 @t116)) % 47.01/47.28 (define @t3352 () (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2123 @t3178)) @t3330)) % 47.01/47.28 (define @t3353 () (tptp.hAPP @t3341 @t558)) % 47.01/47.28 (define @t3354 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t488 @t369)) % 47.01/47.28 (define @t3355 () (tptp.hAPP @t1924 @t488)) % 47.01/47.28 (define @t3356 () (tptp.hAPP (tptp.hAPP @t3163 @t488) @t369)) % 47.01/47.28 (define @t3357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3342) @t1870))) % 47.01/47.28 (define @t3358 () (@var "V_q_1" $$unsorted)) % 47.01/47.28 (define @t3359 () (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2123 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2100 @t113))) @t1718)) % 47.01/47.28 (define @t3360 () (@list @t2100 @t1718 @t116 @t113)) % 47.01/47.28 (define @t3361 () (@list @t2100 @t116 @t1718 @t113)) % 47.01/47.28 (define @t3362 () (tptp.hBOOL (tptp.hAPP @t35 @t900))) % 47.01/47.28 (define @t3363 () (tptp.hAPP @t2970 @t3178)) % 47.01/47.28 (define @t3364 () (tptp.hAPP (tptp.hAPP @t1924 @t3363) @t1877)) % 47.01/47.28 (define @t3365 () (not (= @t116 @t1870))) % 47.01/47.28 (define @t3366 () (tptp.c_SMT_Oz3mod @t558 @t666)) % 47.01/47.28 (define @t3367 () (tptp.c_Groups_Osgn__class_Osgn @t76 @t75)) % 47.01/47.28 (define @t3368 () (= @t75 @t636)) % 47.01/47.28 (define @t3369 () (tptp.class_Groups_Osgn__if @t76)) % 47.01/47.28 (define @t3370 () (tptp.c_Groups_Osgn__class_Osgn @t76 @t112)) % 47.01/47.28 (define @t3371 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t488 @t369)) % 47.01/47.28 (define @t3372 () (tptp.hAPP @t489 @t3371)) % 47.01/47.28 (define @t3373 () (=> @t821 (= @t3371 @t488))) % 47.01/47.28 (define @t3374 () (tptp.hAPP tptp.c_Nat_OSuc @t3371)) % 47.01/47.28 (define @t3375 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t492 @t369)) % 47.01/47.28 (define @t3376 () (tptp.c_Groups_Osgn__class_Osgn @t15 @t290)) % 47.01/47.28 (define @t3377 () (= @t3374 @t369)) % 47.01/47.28 (define @t3378 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t647 @t369)) % 47.01/47.28 (define @t3379 () (= @t3371 @t3378)) % 47.01/47.28 (define @t3380 () (=> @t875 @t3379)) % 47.01/47.28 (define @t3381 () (tptp.hAPP (tptp.hAPP @t1274 @t1640) @t488)) % 47.01/47.28 (define @t3382 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t112 @t116)) % 47.01/47.28 (define @t3383 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t75 @t95)) % 47.01/47.28 (define @t3384 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t116 @t113)) % 47.01/47.28 (define @t3385 () (tptp.hAPP (tptp.hAPP @t3256 @t116) @t113)) % 47.01/47.28 (define @t3386 () (tptp.hAPP (tptp.hAPP @t1274 @t112) @t116)) % 47.01/47.28 (define @t3387 () (= @t95 @t520)) % 47.01/47.28 (define @t3388 () (tptp.hAPP @t1625 @t112)) % 47.01/47.28 (define @t3389 () (tptp.hAPP @t3388 @t116)) % 47.01/47.28 (define @t3390 () (tptp.hAPP (tptp.hAPP @t1625 @t3263) @t369)) % 47.01/47.28 (define @t3391 () (tptp.hAPP @t646 @t3371)) % 47.01/47.28 (define @t3392 () (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t3259 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2100 @t113))) @t1718)) % 47.01/47.28 (define @t3393 () (tptp.hBOOL (tptp.hAPP @t822 @t113))) % 47.01/47.28 (define @t3394 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2212 @t2211)) % 47.01/47.28 (define @t3395 () (tptp.hAPP tptp.c_Int_Onat @t3326)) % 47.01/47.28 (define @t3396 () (tptp.hAPP @t2970 @t1877)) % 47.01/47.28 (define @t3397 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t559)) % 47.01/47.28 (define @t3398 () (tptp.hBOOL (tptp.hAPP @t1919 @t559))) % 47.01/47.28 (define @t3399 () (= @t559 @t1870)) % 47.01/47.28 (define @t3400 () (tptp.c_Equiv__Relations_Oquotient @t15)) % 47.01/47.28 (define @t3401 () (tptp.hAPP (tptp.hAPP @t3400 @t51) @t1667)) % 47.01/47.28 (define @t3402 () (tptp.tc_prod @t15 @t15)) % 47.01/47.28 (define @t3403 () (tptp.tc_fun @t3402 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3404 () (tptp.c_Fun_Oinj__on @t15 @t243 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t3403 @t243) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 (tptp.tc_fun @t3403 @t243) @t15) @t3400) @t514)) @t1667) @t51)) % 47.01/47.28 (define @t3405 () (@list @t1667 @t51 @t15)) % 47.01/47.28 (define @t3406 () (@list @t1667 @t15)) % 47.01/47.28 (define @t3407 () (tptp.c_Relation_OImage @t15 @t15 @t1667)) % 47.01/47.28 (define @t3408 () (tptp.c_COMBB @t54 @t54 @t15)) % 47.01/47.28 (define @t3409 () (tptp.hAPP @t3407 @t384)) % 47.01/47.28 (define @t3410 () (tptp.hAPP (tptp.hAPP @t3400 @t384) @t1667)) % 47.01/47.28 (define @t3411 () (@list @t1667 @t47 @t15)) % 47.01/47.28 (define @t3412 () (tptp.c_Relation_OImage @t71 @t15 @t1667)) % 47.01/47.28 (define @t3413 () (tptp.c_Relation_OImage @t71 @t15 @t387)) % 47.01/47.28 (define @t3414 () (tptp.hAPP @t3413 @t48)) % 47.01/47.28 (define @t3415 () (tptp.hAPP @t3413 @t51)) % 47.01/47.28 (define @t3416 () (tptp.hAPP (tptp.hAPP @t962 @t3415) @t3414)) % 47.01/47.28 (define @t3417 () (tptp.hAPP @t3413 @t1055)) % 47.01/47.28 (define @t3418 () (@list @t48 @t51 @t387 @t71 @t15)) % 47.01/47.28 (define @t3419 () (tptp.hAPP (tptp.hAPP @t2616 @t3412) @t48)) % 47.01/47.28 (define @t3420 () (tptp.hAPP @t540 @t508)) % 47.01/47.28 (define @t3421 () (tptp.hBOOL (tptp.hAPP @t3420 @t3401))) % 47.01/47.28 (define @t3422 () (@list @t387 @t15 @t71)) % 47.01/47.28 (define @t3423 () (tptp.c_Relation_OImage @t15 @t71 @t1667)) % 47.01/47.28 (define @t3424 () (tptp.hAPP @t3423 @t51)) % 47.01/47.28 (define @t3425 () (@var "V_r_H_2" $$unsorted)) % 47.01/47.28 (define @t3426 () (tptp.c_Orderings_Oord__class_Oless__eq @t2509)) % 47.01/47.28 (define @t3427 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3426 @t3425) @t1667))) % 47.01/47.28 (define @t3428 () (tptp.hAPP @t55 @t3415)) % 47.01/47.28 (define @t3429 () (tptp.tc_prod @t71 @t15)) % 47.01/47.28 (define @t3430 () (tptp.tc_fun @t3429 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3431 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3430)) % 47.01/47.28 (define @t3432 () (tptp.hAPP tptp.c_Nat_OSuc @t948)) % 47.01/47.28 (define @t3433 () (tptp.hAPP @t173 @t783)) % 47.01/47.28 (define @t3434 () (tptp.hBOOL (tptp.hAPP @t3433 @t51))) % 47.01/47.28 (define @t3435 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t3436 () (tptp.hAPP @t3435 @t1790)) % 47.01/47.28 (define @t3437 () (tptp.hAPP (tptp.hAPP @t643 @t3436) @t1449)) % 47.01/47.28 (define @t3438 () (@list @t1790)) % 47.01/47.28 (define @t3439 () (tptp.c_Int_Onumber__class_Onumber__of @t76)) % 47.01/47.28 (define @t3440 () (tptp.hAPP @t3439 @t558)) % 47.01/47.28 (define @t3441 () (tptp.class_Int_Onumber__ring @t76)) % 47.01/47.28 (define @t3442 () (tptp.hAPP @t3439 @t1790)) % 47.01/47.28 (define @t3443 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3444 () (tptp.hAPP @t3443 @t1790)) % 47.01/47.28 (define @t3445 () (@list @t1790 @t76)) % 47.01/47.28 (define @t3446 () (tptp.c_Orderings_Oord__class_Oless__eq @t3403)) % 47.01/47.28 (define @t3447 () (tptp.c_Orderings_Obot__class_Obot @t3403)) % 47.01/47.28 (define @t3448 () (tptp.c_Int_Onumber__class_Onumber__of @t15)) % 47.01/47.28 (define @t3449 () (tptp.hAPP @t3448 @t1615)) % 47.01/47.28 (define @t3450 () (tptp.class_Int_Onumber @t15)) % 47.01/47.28 (define @t3451 () (tptp.hAPP @t3448 @t128)) % 47.01/47.28 (define @t3452 () (tptp.hAPP @t3448 @t47)) % 47.01/47.28 (define @t3453 () (= @t3452 @t3451)) % 47.01/47.28 (define @t3454 () (tptp.class_Int_Onumber__ring @t15)) % 47.01/47.28 (define @t3455 () (and @t3454 @t1528)) % 47.01/47.28 (define @t3456 () (tptp.hAPP @t1920 @t3436)) % 47.01/47.28 (define @t3457 () (= @t3456 @t3442)) % 47.01/47.28 (define @t3458 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3444))) % 47.01/47.28 (define @t3459 () (not @t3458)) % 47.01/47.28 (define @t3460 () (= @t3456 @t636)) % 47.01/47.28 (define @t3461 () (tptp.hBOOL (tptp.hAPP @t2025 @t3444))) % 47.01/47.28 (define @t3462 () (@var "V_v_2" $$unsorted)) % 47.01/47.28 (define @t3463 () (tptp.hAPP @t3448 @t3462)) % 47.01/47.28 (define @t3464 () (tptp.hAPP @t714 @t3449)) % 47.01/47.28 (define @t3465 () (@list @t1615 @t3462 @t15)) % 47.01/47.28 (define @t3466 () (tptp.hAPP @t3448 @t1790)) % 47.01/47.28 (define @t3467 () (tptp.hAPP (tptp.hAPP @t1590 @t116) @t3466)) % 47.01/47.28 (define @t3468 () (tptp.hAPP (tptp.hAPP @t1590 @t112) @t3466)) % 47.01/47.28 (define @t3469 () (and @t3450 (tptp.class_Rings_Osemiring @t15))) % 47.01/47.28 (define @t3470 () (@list @t1790 @t116 @t112 @t15)) % 47.01/47.28 (define @t3471 () (tptp.hAPP @t1590 @t3466)) % 47.01/47.28 (define @t3472 () (tptp.hAPP @t3471 @t113)) % 47.01/47.28 (define @t3473 () (tptp.hAPP @t3471 @t116)) % 47.01/47.28 (define @t3474 () (@list @t113 @t116 @t1790 @t15)) % 47.01/47.28 (define @t3475 () (and @t3450 @t1729)) % 47.01/47.28 (define @t3476 () (tptp.hAPP @t130 @t3452)) % 47.01/47.28 (define @t3477 () (and @t3454 @t1434)) % 47.01/47.28 (define @t3478 () (tptp.hAPP @t714 @t3452)) % 47.01/47.28 (define @t3479 () (tptp.hAPP @t3448 @t366)) % 47.01/47.28 (define @t3480 () (tptp.hAPP (tptp.hAPP @t2674 @t3479) @t3466)) % 47.01/47.28 (define @t3481 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3479) @t3466))) % 47.01/47.28 (define @t3482 () (not @t3481)) % 47.01/47.28 (define @t3483 () (and @t3450 @t1968)) % 47.01/47.28 (define @t3484 () (@list @t1790 @t366 @t15)) % 47.01/47.28 (define @t3485 () (tptp.hAPP (tptp.hAPP @t2771 @t3479) @t3466)) % 47.01/47.28 (define @t3486 () (tptp.hAPP @t3439 @t2038)) % 47.01/47.28 (define @t3487 () (tptp.hAPP @t1213 @t3442)) % 47.01/47.28 (define @t3488 () (tptp.hAPP @t3487 @t3486)) % 47.01/47.28 (define @t3489 () (tptp.hAPP @t1878 @t1790)) % 47.01/47.28 (define @t3490 () (tptp.hAPP @t3489 @t2038)) % 47.01/47.28 (define @t3491 () (tptp.hAPP @t3439 @t3490)) % 47.01/47.28 (define @t3492 () (@list @t2038 @t1790 @t76)) % 47.01/47.28 (define @t3493 () (@list @t101 @t2038 @t1790 @t76)) % 47.01/47.28 (define @t3494 () (tptp.hAPP @t1559 @t3442)) % 47.01/47.28 (define @t3495 () (tptp.hAPP @t3494 @t3486)) % 47.01/47.28 (define @t3496 () (tptp.hAPP @t1891 @t1790)) % 47.01/47.28 (define @t3497 () (tptp.hAPP @t3496 @t2038)) % 47.01/47.28 (define @t3498 () (tptp.hAPP @t3439 @t3497)) % 47.01/47.28 (define @t3499 () (tptp.hAPP @t637 @t3442)) % 47.01/47.28 (define @t3500 () (tptp.hAPP @t3499 @t3486)) % 47.01/47.28 (define @t3501 () (tptp.hAPP @t3439 @t2975)) % 47.01/47.28 (define @t3502 () (tptp.hAPP @t2864 @t3486)) % 47.01/47.28 (define @t3503 () (@list @t2038 @t76)) % 47.01/47.28 (define @t3504 () (tptp.hAPP @t173 @t3449)) % 47.01/47.28 (define @t3505 () (@list @t1615 @t15)) % 47.01/47.28 (define @t3506 () (= @t3449 @t624)) % 47.01/47.28 (define @t3507 () (=> @t3506 @t1261)) % 47.01/47.28 (define @t3508 () (tptp.hAPP @t1591 @t3449)) % 47.01/47.28 (define @t3509 () (not @t3506)) % 47.01/47.28 (define @t3510 () (tptp.hAPP @t3010 @t3449)) % 47.01/47.28 (define @t3511 () (and @t3122 @t3450)) % 47.01/47.28 (define @t3512 () (@list @t290 @t1615 @t294 @t15)) % 47.01/47.28 (define @t3513 () (=> @t3013 @t3506)) % 47.01/47.28 (define @t3514 () (tptp.hAPP (tptp.hAPP @t1590 @t3449) @t281)) % 47.01/47.28 (define @t3515 () (@list @t1615 @t281 @t294 @t15)) % 47.01/47.28 (define @t3516 () (@list @t281 @t294 @t1615 @t15)) % 47.01/47.28 (define @t3517 () (@list @t1615 @t294 @t290 @t15)) % 47.01/47.28 (define @t3518 () (tptp.hAPP @t3489 @t2975)) % 47.01/47.28 (define @t3519 () (tptp.hAPP @t3439 @t3518)) % 47.01/47.28 (define @t3520 () (tptp.hBOOL (tptp.hAPP @t3464 @t624))) % 47.01/47.28 (define @t3521 () (not @t3520)) % 47.01/47.28 (define @t3522 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3508) @t294))) % 47.01/47.28 (define @t3523 () (tptp.hBOOL (tptp.hAPP @t1351 @t3449))) % 47.01/47.28 (define @t3524 () (not @t3523)) % 47.01/47.28 (define @t3525 () (tptp.hBOOL (tptp.hAPP @t1695 @t3508))) % 47.01/47.28 (define @t3526 () (and @t3101 @t3450)) % 47.01/47.28 (define @t3527 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3514) @t294))) % 47.01/47.28 (define @t3528 () (tptp.hBOOL (tptp.hAPP @t1695 @t3514))) % 47.01/47.28 (define @t3529 () (tptp.hAPP @t3439 @t75)) % 47.01/47.28 (define @t3530 () (tptp.hAPP @t2299 @t3529)) % 47.01/47.28 (define @t3531 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3529) @t636))) % 47.01/47.28 (define @t3532 () (and @t3441 @t1474)) % 47.01/47.28 (define @t3533 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3508) @t294))) % 47.01/47.28 (define @t3534 () (tptp.hBOOL (tptp.hAPP @t1674 @t3508))) % 47.01/47.28 (define @t3535 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3514) @t294))) % 47.01/47.28 (define @t3536 () (tptp.hBOOL (tptp.hAPP @t1674 @t3514))) % 47.01/47.28 (define @t3537 () (tptp.hAPP @t130 @t3449)) % 47.01/47.28 (define @t3538 () (@var "V_v_H" $$unsorted)) % 47.01/47.28 (define @t3539 () (tptp.hAPP @t3443 @t3538)) % 47.01/47.28 (define @t3540 () (tptp.hAPP @t3435 @t3538)) % 47.01/47.28 (define @t3541 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t904 @t3540)) % 47.01/47.28 (define @t3542 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3539))) % 47.01/47.28 (define @t3543 () (not @t3542)) % 47.01/47.28 (define @t3544 () (@list @t3538)) % 47.01/47.28 (define @t3545 () (tptp.hAPP @t3163 @t1877)) % 47.01/47.28 (define @t3546 () (tptp.c_Int_OBit1 @t1615)) % 47.01/47.28 (define @t3547 () (tptp.hAPP @t3435 @t3546)) % 47.01/47.28 (define @t3548 () (tptp.hAPP @t3032 @t3463)) % 47.01/47.28 (define @t3549 () (tptp.hAPP @t3548 @t3547)) % 47.01/47.28 (define @t3550 () (tptp.hAPP @t3443 @t1615)) % 47.01/47.28 (define @t3551 () (tptp.hBOOL (tptp.hAPP @t2025 @t3550))) % 47.01/47.28 (define @t3552 () (not @t3551)) % 47.01/47.28 (define @t3553 () (tptp.c_COMBB @t15 @t886 @t15)) % 47.01/47.28 (define @t3554 () (tptp.hAPP @t3553 @t1590)) % 47.01/47.28 (define @t3555 () (tptp.c_COMBS @t15 @t15 @t15)) % 47.01/47.28 (define @t3556 () (tptp.hAPP @t3435 @t1615)) % 47.01/47.28 (define @t3557 () (tptp.c_HOL_OLet @t15 @t15)) % 47.01/47.28 (define @t3558 () (tptp.hAPP @t3557 (tptp.hAPP @t3548 @t3556))) % 47.01/47.28 (define @t3559 () (tptp.hAPP @t3435 @t2038)) % 47.01/47.28 (define @t3560 () (tptp.hAPP @t2990 @t3444)) % 47.01/47.28 (define @t3561 () (tptp.hAPP @t2999 @t3436)) % 47.01/47.28 (define @t3562 () (tptp.hAPP @t3561 @t3559)) % 47.01/47.28 (define @t3563 () (tptp.hAPP @t2999 @t520)) % 47.01/47.28 (define @t3564 () (@list @t2038 @t1790)) % 47.01/47.28 (define @t3565 () (tptp.hAPP @t3443 @t2038)) % 47.01/47.28 (define @t3566 () (tptp.hAPP @t2970 @t3565)) % 47.01/47.28 (define @t3567 () (tptp.hAPP @t3443 @t1490)) % 47.01/47.28 (define @t3568 () (tptp.hAPP @t3443 @t469)) % 47.01/47.28 (define @t3569 () (tptp.hBOOL (tptp.hAPP @t2337 @t1490))) % 47.01/47.28 (define @t3570 () (tptp.c_Int_OBit1 @t1490)) % 47.01/47.28 (define @t3571 () (tptp.c_Int_OBit1 @t469)) % 47.01/47.28 (define @t3572 () (tptp.hAPP @t1873 @t3571)) % 47.01/47.28 (define @t3573 () (@var "V_k2_2" $$unsorted)) % 47.01/47.28 (define @t3574 () (@var "V_k1_2" $$unsorted)) % 47.01/47.28 (define @t3575 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3574) @t3573))) % 47.01/47.28 (define @t3576 () (tptp.c_Int_OBit1 @t3573)) % 47.01/47.28 (define @t3577 () (tptp.c_Int_OBit1 @t3574)) % 47.01/47.28 (define @t3578 () (tptp.hAPP @t1873 @t3577)) % 47.01/47.28 (define @t3579 () (@list @t3573 @t3574)) % 47.01/47.28 (define @t3580 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3550))) % 47.01/47.28 (define @t3581 () (@list @t1615)) % 47.01/47.28 (define @t3582 () (tptp.hAPP @t1878 @t3444)) % 47.01/47.28 (define @t3583 () (= @t469 @t1490)) % 47.01/47.28 (define @t3584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3574) @t3573))) % 47.01/47.28 (define @t3585 () (tptp.hAPP @t1882 @t3577)) % 47.01/47.28 (define @t3586 () (tptp.hAPP @t1882 @t3571)) % 47.01/47.28 (define @t3587 () (tptp.hBOOL (tptp.hAPP @t1883 @t1870))) % 47.01/47.28 (define @t3588 () (tptp.c_Int_OBit1 @t558)) % 47.01/47.28 (define @t3589 () (tptp.hAPP (tptp.hAPP @t2203 @t1274) @t789)) % 47.01/47.28 (define @t3590 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3556)) % 47.01/47.28 (define @t3591 () (tptp.hAPP @t1469 @t3486)) % 47.01/47.28 (define @t3592 () (tptp.hAPP @t3439 (tptp.c_Int_OBit1 @t2038))) % 47.01/47.28 (define @t3593 () (tptp.hAPP @t3032 @t202)) % 47.01/47.28 (define @t3594 () (tptp.hAPP @t3593 @t3547)) % 47.01/47.28 (define @t3595 () (tptp.hAPP @t3557 (tptp.hAPP @t3593 @t3556))) % 47.01/47.28 (define @t3596 () (tptp.hAPP @t2990 @t202)) % 47.01/47.28 (define @t3597 () (tptp.hAPP @t3596 @t3547)) % 47.01/47.28 (define @t3598 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3599 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3600 () (tptp.c_COMBB tptp.tc_Int_Oint @t3599 tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3601 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3602 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3596 @t3556))) % 47.01/47.28 (define @t3603 () (= @t3436 @t520)) % 47.01/47.28 (define @t3604 () (tptp.hAPP @t3443 @t3462)) % 47.01/47.28 (define @t3605 () (@var "V_v_H_2" $$unsorted)) % 47.01/47.28 (define @t3606 () (tptp.hAPP @t3443 @t3605)) % 47.01/47.28 (define @t3607 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3606))) % 47.01/47.28 (define @t3608 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3604))) % 47.01/47.28 (define @t3609 () (tptp.hAPP @t3435 @t3605)) % 47.01/47.28 (define @t3610 () (tptp.hAPP @t3435 @t3462)) % 47.01/47.28 (define @t3611 () (@list @t3605 @t3462)) % 47.01/47.28 (define @t3612 () (tptp.hAPP @t3435 (tptp.hAPP @t3489 @t3538))) % 47.01/47.28 (define @t3613 () (tptp.hAPP (tptp.hAPP @t1274 @t3540) @t558)) % 47.01/47.28 (define @t3614 () (tptp.hAPP @t1274 @t3436)) % 47.01/47.28 (define @t3615 () (tptp.hAPP @t3614 @t3613)) % 47.01/47.28 (define @t3616 () (@list @t558 @t3538 @t1790)) % 47.01/47.28 (define @t3617 () (tptp.hAPP @t1871 @t3436)) % 47.01/47.28 (define @t3618 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3436 @t3540)) % 47.01/47.28 (define @t3619 () (@list @t3538 @t1790)) % 47.01/47.28 (define @t3620 () (tptp.hAPP @t3163 @t3444)) % 47.01/47.28 (define @t3621 () (tptp.hAPP (tptp.hAPP @t3256 @t3436) @t3540)) % 47.01/47.28 (define @t3622 () (tptp.hAPP @t3561 @t369)) % 47.01/47.28 (define @t3623 () (@list @t369 @t1790)) % 47.01/47.28 (define @t3624 () (tptp.hAPP @t3435 (tptp.c_Int_Osucc @t1790))) % 47.01/47.28 (define @t3625 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3614 @t369))) % 47.01/47.28 (define @t3626 () (tptp.hAPP (tptp.hAPP @t643 @t3610) @t3609)) % 47.01/47.28 (define @t3627 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3605) tptp.c_Int_OPls))) % 47.01/47.28 (define @t3628 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3629 () (tptp.hAPP @t3628 tptp.c_Nat_OSuc)) % 47.01/47.28 (define @t3630 () (tptp.hAPP @t3443 (tptp.c_Int_Opred @t3462))) % 47.01/47.28 (define @t3631 () (tptp.hAPP @t2829 @t3630)) % 47.01/47.28 (define @t3632 () (@list @t3462 @t260)) % 47.01/47.28 (define @t3633 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3634 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t3635 () (@list @t260 @t3462)) % 47.01/47.28 (define @t3636 () (tptp.c_Int_OBit1 @t666)) % 47.01/47.28 (define @t3637 () (@list @t666)) % 47.01/47.28 (define @t3638 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3639 () (tptp.hAPP @t2970 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3640 () (tptp.hAPP @t1878 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3641 () (tptp.hAPP @t1882 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3642 () (tptp.hAPP @t1924 @t558)) % 47.01/47.28 (define @t3643 () (tptp.hAPP @t1873 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3644 () (tptp.hAPP @t3439 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3645 () (tptp.hAPP @t3435 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3646 () (tptp.hAPP @t3443 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3647 () (tptp.hBOOL (tptp.hAPP @t3643 @t469))) % 47.01/47.28 (define @t3648 () (tptp.hBOOL (tptp.hAPP @t2044 tptp.c_Int_OPls))) % 47.01/47.28 (define @t3649 () (tptp.hAPP @t3435 (tptp.c_Int_Opred @t1790))) % 47.01/47.28 (define @t3650 () (tptp.hAPP @t1462 @t3436)) % 47.01/47.28 (define @t3651 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1790) tptp.c_Int_OPls))) % 47.01/47.28 (define @t3652 () (not @t3651)) % 47.01/47.28 (define @t3653 () (tptp.hAPP @t3614 @t1449)) % 47.01/47.28 (define @t3654 () (tptp.c_Int_Opred @t558)) % 47.01/47.28 (define @t3655 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1790) tptp.c_Int_OPls))) % 47.01/47.28 (define @t3656 () (tptp.hAPP @t3439 @t3638)) % 47.01/47.28 (define @t3657 () (and @t3072 @t3441)) % 47.01/47.28 (define @t3658 () (tptp.hAPP @t1873 @t3462)) % 47.01/47.28 (define @t3659 () (tptp.hBOOL (tptp.hAPP @t3658 tptp.c_Int_OPls))) % 47.01/47.28 (define @t3660 () (@list @t3462)) % 47.01/47.28 (define @t3661 () (= @t3610 @t520)) % 47.01/47.28 (define @t3662 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3462) @t3605))) % 47.01/47.28 (define @t3663 () (tptp.hAPP @t816 @t3610)) % 47.01/47.28 (define @t3664 () (and @t3053 @t3441)) % 47.01/47.28 (define @t3665 () (tptp.hAPP @t489 @t3610)) % 47.01/47.28 (define @t3666 () (tptp.hAPP @t3435 @t3638)) % 47.01/47.28 (define @t3667 () (tptp.c_Int_OBit1 @t3638)) % 47.01/47.28 (define @t3668 () (tptp.hAPP @t3443 @t3667)) % 47.01/47.28 (define @t3669 () (tptp.c_Int_Osucc @t558)) % 47.01/47.28 (define @t3670 () (@list @t128 @t15)) % 47.01/47.28 (define @t3671 () (tptp.hAPP @t3435 @t3667)) % 47.01/47.28 (define @t3672 () (tptp.hAPP @t1274 @t3671)) % 47.01/47.28 (define @t3673 () (tptp.hAPP @t3672 @t369)) % 47.01/47.28 (define @t3674 () (tptp.hAPP tptp.c_Nat_OSuc @t370)) % 47.01/47.28 (define @t3675 () (tptp.hAPP tptp.c_Nat_OSuc @t3674)) % 47.01/47.28 (define @t3676 () (tptp.hAPP @t3614 @t3540)) % 47.01/47.28 (define @t3677 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3538) tptp.c_Int_OPls))) % 47.01/47.28 (define @t3678 () (tptp.hAPP @t1878 @t3638)) % 47.01/47.28 (define @t3679 () (tptp.hAPP @t3435 (tptp.hAPP @t3496 @t3538))) % 47.01/47.28 (define @t3680 () (tptp.hAPP @t1625 @t3436)) % 47.01/47.28 (define @t3681 () (tptp.hAPP @t3680 @t3540)) % 47.01/47.28 (define @t3682 () (tptp.hAPP @t3680 (tptp.hAPP (tptp.hAPP @t1625 @t3540) @t558))) % 47.01/47.28 (define @t3683 () (tptp.hAPP @t3672 @t488)) % 47.01/47.28 (define @t3684 () (tptp.hAPP tptp.c_Nat_OSuc @t492)) % 47.01/47.28 (define @t3685 () (tptp.hAPP tptp.c_Nat_OSuc @t3684)) % 47.01/47.28 (define @t3686 () (@list @t1790 @t488)) % 47.01/47.28 (define @t3687 () (tptp.hAPP @t3256 @t3683)) % 47.01/47.28 (define @t3688 () (tptp.hAPP @t3256 @t3685)) % 47.01/47.28 (define @t3689 () (tptp.hAPP @t2970 @t3638)) % 47.01/47.28 (define @t3690 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1866 tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3691 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3692 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3693 () (tptp.hAPP (tptp.hAPP @t3692 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 47.01/47.28 (define @t3694 () (tptp.hAPP @t2470 (tptp.hAPP (tptp.hAPP @t2468 tptp.c_fimplies) @t3693))) % 47.01/47.28 (define @t3695 () (tptp.hAPP @t2470 (tptp.hAPP @t2469 @t3693))) % 47.01/47.28 (define @t3696 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t3630)) % 47.01/47.28 (define @t3697 () (tptp.hBOOL (tptp.hAPP @t3696 (tptp.hAPP @t3695 (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3690 tptp.c_fequal) tptp.c_Int_Onat)) @t260)))))) % 47.01/47.28 (define @t3698 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2434 tptp.tc_Int_Oint) @t2433)) % 47.01/47.28 (define @t3699 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t15 @t886) (tptp.hAPP @t3698 tptp.c_Nat__Numeral_Oneg))) % 47.01/47.28 (define @t3700 () (tptp.c_COMBS tptp.tc_Int_Oint @t15 @t15)) % 47.01/47.28 (define @t3701 () (tptp.hAPP @t3700 (tptp.hAPP @t3699 @t290))) % 47.01/47.28 (define @t3702 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t15)) % 47.01/47.28 (define @t3703 () (tptp.hAPP @t3702 @t3630)) % 47.01/47.28 (define @t3704 () (@list @t3462 @t2 @t290 @t15)) % 47.01/47.28 (define @t3705 () (tptp.hAPP tptp.c_Nat_OSuc @t3436)) % 47.01/47.28 (define @t3706 () (tptp.hAPP @t2826 (tptp.hAPP @t2825 @t261))) % 47.01/47.28 (define @t3707 () (tptp.hAPP (tptp.hAPP @t3634 (tptp.hAPP (tptp.hAPP @t3633 @t1274) tptp.c_Int_Onat)) @t260)) % 47.01/47.28 (define @t3708 () (tptp.hAPP (tptp.hAPP @t1274 @t3610) @t260)) % 47.01/47.28 (define @t3709 () (@list @t260 @t3462 @t2 @t290 @t15)) % 47.01/47.28 (define @t3710 () (tptp.c_Nat_Onat_Onat__rec @t15 @t290 @t2)) % 47.01/47.28 (define @t3711 () (tptp.hAPP @t2243 @t3710)) % 47.01/47.28 (define @t3712 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t886 tptp.tc_Int_Oint) @t2)) % 47.01/47.28 (define @t3713 () (tptp.hAPP @t1878 @t47)) % 47.01/47.28 (define @t3714 () (tptp.hAPP @t2970 @t128)) % 47.01/47.28 (define @t3715 () (tptp.c_Nat_Onat_Onat__rec @t15 @t81 @t771)) % 47.01/47.28 (define @t3716 () (tptp.hAPP (tptp.hAPP @t1878 @t116) @t1877)) % 47.01/47.28 (define @t3717 () (tptp.c_Int_OBit0 @t3638)) % 47.01/47.28 (define @t3718 () (tptp.hAPP @t3443 @t3717)) % 47.01/47.28 (define @t3719 () (tptp.hAPP @t1891 @t3718)) % 47.01/47.28 (define @t3720 () (tptp.hAPP @t3719 @t112)) % 47.01/47.28 (define @t3721 () (tptp.hAPP @t3719 @t116)) % 47.01/47.28 (define @t3722 () (tptp.hAPP @t1879 @t3721)) % 47.01/47.28 (define @t3723 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3722 @t3720)) % 47.01/47.28 (define @t3724 () (tptp.hAPP @t3582 @t1877)) % 47.01/47.28 (define @t3725 () (tptp.c_Int_OBit0 @t2038)) % 47.01/47.28 (define @t3726 () (tptp.hAPP @t3443 @t3725)) % 47.01/47.28 (define @t3727 () (tptp.hAPP @t3443 (tptp.c_Int_OBit1 @t1790))) % 47.01/47.28 (define @t3728 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3727 @t3726)) % 47.01/47.28 (define @t3729 () (tptp.hBOOL (tptp.hAPP @t2025 @t3565))) % 47.01/47.28 (define @t3730 () (not @t3729)) % 47.01/47.28 (define @t3731 () (tptp.hAPP @t3719 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3444 @t3565))) % 47.01/47.28 (define @t3732 () (@list @t1790 @t2038)) % 47.01/47.28 (define @t3733 () (tptp.hAPP @t1878 @t290)) % 47.01/47.28 (define @t3734 () (tptp.hAPP (tptp.hAPP @t3163 @t3722) @t3720)) % 47.01/47.28 (define @t3735 () (tptp.c_Int_OBit0 @t666)) % 47.01/47.28 (define @t3736 () (tptp.c_Int_OBit0 @t558)) % 47.01/47.28 (define @t3737 () (tptp.c_Int_OBit0 @t1490)) % 47.01/47.28 (define @t3738 () (tptp.c_Int_OBit0 @t469)) % 47.01/47.28 (define @t3739 () (tptp.hAPP @t1882 @t3738)) % 47.01/47.28 (define @t3740 () (tptp.c_Int_OBit0 @t3573)) % 47.01/47.28 (define @t3741 () (tptp.c_Int_OBit0 @t3574)) % 47.01/47.28 (define @t3742 () (tptp.hAPP @t1882 @t3741)) % 47.01/47.28 (define @t3743 () (tptp.hAPP @t2070 @t666)) % 47.01/47.28 (define @t3744 () (tptp.hAPP @t1878 @t3736)) % 47.01/47.28 (define @t3745 () (tptp.c_Int_OBit0 (tptp.hAPP @t2083 @t666))) % 47.01/47.28 (define @t3746 () (tptp.hAPP @t3642 @t666)) % 47.01/47.28 (define @t3747 () (tptp.c_Int_OBit0 @t3746)) % 47.01/47.28 (define @t3748 () (tptp.hAPP @t1924 @t3736)) % 47.01/47.28 (define @t3749 () (tptp.hAPP @t1873 @t3741)) % 47.01/47.28 (define @t3750 () (tptp.hAPP @t1873 @t3738)) % 47.01/47.28 (define @t3751 () (@list @t1490)) % 47.01/47.28 (define @t3752 () (tptp.c_Int_OBit0 @t1615)) % 47.01/47.28 (define @t3753 () (tptp.c_Int_OBit1 @t3743)) % 47.01/47.28 (define @t3754 () (tptp.hAPP @t1878 @t3588)) % 47.01/47.28 (define @t3755 () (tptp.hAPP @t1924 tptp.c_Int_OPls)) % 47.01/47.28 (define @t3756 () (tptp.hAPP @t1924 @t3588)) % 47.01/47.28 (define @t3757 () (tptp.hAPP @t3620 @t3565)) % 47.01/47.28 (define @t3758 () (tptp.hAPP @t3443 (tptp.c_Int_OBit0 @t1790))) % 47.01/47.28 (define @t3759 () (tptp.hAPP @t3435 @t3752)) % 47.01/47.28 (define @t3760 () (tptp.hAPP @t3439 @t3725)) % 47.01/47.28 (define @t3761 () (tptp.hAPP @t3435 @t3717)) % 47.01/47.28 (define @t3762 () (tptp.hAPP (tptp.hAPP @t3555 @t1590) @t237)) % 47.01/47.28 (define @t3763 () (tptp.hAPP @t3443 @t369)) % 47.01/47.28 (define @t3764 () (tptp.hAPP @t3157 @t101)) % 47.01/47.28 (define @t3765 () (tptp.hAPP @t3439 @t3717)) % 47.01/47.28 (define @t3766 () (tptp.hAPP @t1559 @t3765)) % 47.01/47.28 (define @t3767 () (tptp.hAPP @t3033 @t3761)) % 47.01/47.28 (define @t3768 () (tptp.hAPP @t3047 @t3761)) % 47.01/47.28 (define @t3769 () (tptp.hAPP @t2985 @t3761)) % 47.01/47.28 (define @t3770 () (tptp.hAPP (tptp.hAPP @t1274 @t101) @t101)) % 47.01/47.28 (define @t3771 () (tptp.hAPP @t1625 @t3761)) % 47.01/47.28 (define @t3772 () (tptp.hAPP (tptp.hAPP @t2984 @t3048) @t3761)) % 47.01/47.28 (define @t3773 () (tptp.hAPP @t3771 @t369)) % 47.01/47.28 (define @t3774 () (tptp.hAPP @t3047 @t3773)) % 47.01/47.28 (define @t3775 () (tptp.hAPP tptp.c_Int_Onat @t3718)) % 47.01/47.28 (define @t3776 () (tptp.hAPP @t2995 @t3761)) % 47.01/47.28 (define @t3777 () (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t3036 @t3761)) (tptp.hAPP (tptp.hAPP @t3032 @t128) @t3761))) % 47.01/47.28 (define @t3778 () (tptp.hAPP @t3448 @t2038)) % 47.01/47.28 (define @t3779 () (tptp.hAPP @t2985 @t369)) % 47.01/47.28 (define @t3780 () (tptp.hAPP (tptp.hAPP @t1559 @t3779) @t3779)) % 47.01/47.28 (define @t3781 () (@list @t369 @t75 @t76)) % 47.01/47.28 (define @t3782 () (tptp.hAPP (tptp.hAPP @t1213 @t3769) @t3776)) % 47.01/47.28 (define @t3783 () (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP @t3766 @t75)) @t95)) % 47.01/47.28 (define @t3784 () (tptp.hAPP tptp.c_Nat_OSuc @t3773)) % 47.01/47.28 (define @t3785 () (tptp.hAPP @t3047 @t3784)) % 47.01/47.28 (define @t3786 () (tptp.hAPP (tptp.hAPP @t3163 @t3727) @t3726)) % 47.01/47.28 (define @t3787 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t496 @t3761)) % 47.01/47.28 (define @t3788 () (tptp.hAPP @t1920 @t2212)) % 47.01/47.28 (define @t3789 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t3790 () (tptp.hAPP @t3789 @t3717)) % 47.01/47.28 (define @t3791 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t3792 () (tptp.hAPP @t3719 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t3791 @t558) @t3790)))) % 47.01/47.28 (define @t3793 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t558)) % 47.01/47.28 (define @t3794 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t3795 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t558 @t3790) @t3794)) % 47.01/47.28 (define @t3796 () (= @t558 @t3794)) % 47.01/47.28 (define @t3797 () (tptp.hAPP (tptp.hAPP @t3555 @t1223) @t237)) % 47.01/47.28 (define @t3798 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3799 () (tptp.hAPP (tptp.hAPP @t3798 tptp.c_fequal) @t1870)) % 47.01/47.28 (define @t3800 () (tptp.tc_fun @t886 @t15)) % 47.01/47.28 (define @t3801 () (tptp.tc_fun tptp.tc_Int_Oint @t15)) % 47.01/47.28 (define @t3802 () (tptp.tc_fun tptp.tc_Int_Oint @t886)) % 47.01/47.28 (define @t3803 () (tptp.hAPP @t3264 @t469)) % 47.01/47.28 (define @t3804 () (not @t3217)) % 47.01/47.28 (define @t3805 () (tptp.hAPP @t3439 tptp.c_Int_OMin)) % 47.01/47.28 (define @t3806 () (tptp.hAPP @t2984 @t3805)) % 47.01/47.28 (define @t3807 () (tptp.hAPP @t1873 tptp.c_Int_OMin)) % 47.01/47.28 (define @t3808 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t3809 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t3810 () (tptp.hAPP @t1882 tptp.c_Int_OMin)) % 47.01/47.28 (define @t3811 () (tptp.hBOOL (tptp.hAPP @t2337 tptp.c_Int_OMin))) % 47.01/47.28 (define @t3812 () (tptp.hBOOL (tptp.hAPP @t3810 @t469))) % 47.01/47.28 (define @t3813 () (tptp.hAPP @t3443 tptp.c_Int_OMin)) % 47.01/47.28 (define @t3814 () (tptp.hAPP @t2864 @t101)) % 47.01/47.28 (define @t3815 () (tptp.hAPP @t1924 tptp.c_Int_OMin)) % 47.01/47.28 (define @t3816 () (tptp.hAPP @t3815 @t666)) % 47.01/47.28 (define @t3817 () (tptp.c_Int_OBit1 @t3816)) % 47.01/47.28 (define @t3818 () (tptp.hAPP @t3351 @t1877)) % 47.01/47.28 (define @t3819 () (tptp.tc_fun tptp.tc_Int_Oint @t2078)) % 47.01/47.28 (define @t3820 () (tptp.c_COMBB @t2078 @t2078 tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3821 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3822 () (tptp.hAPP @t2469 (tptp.hAPP @t1873 @t345))) % 47.01/47.28 (define @t3823 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3824 () (tptp.c_Set_OCollect @t3823)) % 47.01/47.28 (define @t3825 () (tptp.c_Int_Oint__ge__less__than2 @t345)) % 47.01/47.28 (define @t3826 () (@list @t345)) % 47.01/47.28 (define @t3827 () (tptp.tc_fun @t2078 @t2078)) % 47.01/47.28 (define @t3828 () (tptp.c_Int_Oint__ge__less__than @t345)) % 47.01/47.28 (define @t3829 () (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3830 () (tptp.tc_fun @t15 @t88)) % 47.01/47.28 (define @t3831 () (tptp.c_Set_OCollect @t2508)) % 47.01/47.28 (define @t3832 () (tptp.hAPP (tptp.c_COMBB @t517 @t509 @t15) @t2430)) % 47.01/47.28 (define @t3833 () (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t3832 @t809)) @t2951)) % 47.01/47.28 (define @t3834 () (tptp.hAPP @t3809 @t559)) % 47.01/47.28 (define @t3835 () (tptp.c_Code__Numeral_Onat__of__aux @t559 @t369)) % 47.01/47.28 (define @t3836 () (= @t559 @t3794)) % 47.01/47.28 (define @t3837 () (tptp.hAPP @t3600 @t1878)) % 47.01/47.28 (define @t3838 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3839 () (tptp.tc_fun tptp.tc_Int_Oint @t517)) % 47.01/47.28 (define @t3840 () (tptp.c_Divides_Odivmod__int__rel @t290 @t294)) % 47.01/47.28 (define @t3841 () (tptp.c_Divides_Odivmod__int @t112 @t116)) % 47.01/47.28 (define @t3842 () (tptp.c_Divides_Odivmod__int__rel @t112 @t116)) % 47.01/47.28 (define @t3843 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t3844 () (tptp.hAPP @t3843 @t2100)) % 47.01/47.28 (define @t3845 () (tptp.hAPP @t3844 @t1718)) % 47.01/47.28 (define @t3846 () (tptp.hBOOL (tptp.hAPP @t3842 @t3845))) % 47.01/47.28 (define @t3847 () (@list @t113 @t1718 @t2100 @t116 @t112)) % 47.01/47.28 (define @t3848 () (tptp.c_Nat_Osemiring__1__class_ONats @t15)) % 47.01/47.28 (define @t3849 () (tptp.c_Product__Type_OPair @t15 @t71)) % 47.01/47.28 (define @t3850 () (tptp.c_member @t2508)) % 47.01/47.28 (define @t3851 () (tptp.tc_fun @t2509 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3852 () (tptp.tc_fun @t71 @t3851)) % 47.01/47.28 (define @t3853 () (tptp.tc_fun @t71 @t2508)) % 47.01/47.28 (define @t3854 () (tptp.hAPP (tptp.c_COMBC @t15 @t2509 @t88) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3852 (tptp.tc_fun @t2509 @t88) @t15) (tptp.c_COMBC @t71 @t2509 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 @t3852 @t15) (tptp.hAPP (tptp.c_COMBB @t2508 @t3851 @t71) @t3850)) @t3849)))) % 47.01/47.28 (define @t3855 () (tptp.hAPP @t3854 @t386)) % 47.01/47.28 (define @t3856 () (tptp.hAPP @t3854 @t387)) % 47.01/47.28 (define @t3857 () (tptp.c_Orderings_Oord__class_Oless__eq @t3830)) % 47.01/47.28 (define @t3858 () (@list @t386 @t387 @t71 @t15)) % 47.01/47.28 (define @t3859 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2509)) % 47.01/47.28 (define @t3860 () (tptp.hAPP @t3849 @t47)) % 47.01/47.28 (define @t3861 () (tptp.hAPP @t3860 @t128)) % 47.01/47.28 (define @t3862 () (tptp.hAPP @t3850 @t3861)) % 47.01/47.28 (define @t3863 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3830)) % 47.01/47.28 (define @t3864 () (@list @t128 @t47 @t386 @t387 @t71 @t15)) % 47.01/47.28 (define @t3865 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2509)) % 47.01/47.28 (define @t3866 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3830)) % 47.01/47.28 (define @t3867 () (tptp.c_Orderings_Obot__class_Obot @t2509)) % 47.01/47.28 (define @t3868 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3830) @t47) @t128))) % 47.01/47.28 (define @t3869 () (@list @t128 @t47 @t71 @t15)) % 47.01/47.28 (define @t3870 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 @t88 @t15) (tptp.hAPP (tptp.c_COMBB @t2508 tptp.tc_HOL_Obool @t71) @t35)) @t3849)) % 47.01/47.28 (define @t3871 () (tptp.c_COMBB @t88 tptp.tc_HOL_Obool @t15)) % 47.01/47.28 (define @t3872 () (and (tptp.class_Enum_Oenum @t71) @t273)) % 47.01/47.28 (define @t3873 () (@list @t35 @t15 @t71)) % 47.01/47.28 (define @t3874 () (tptp.c_Product__Type_OPair @t71 @t15)) % 47.01/47.28 (define @t3875 () (tptp.hAPP @t3874 @t3)) % 47.01/47.28 (define @t3876 () (tptp.c_member @t3429)) % 47.01/47.28 (define @t3877 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3876 (tptp.hAPP @t3875 @t294)) @t1667))) % 47.01/47.28 (define @t3878 () (tptp.hAPP @t3412 @t51)) % 47.01/47.28 (define @t3879 () (tptp.hBOOL (tptp.hAPP @t309 @t3878))) % 47.01/47.28 (define @t3880 () (@list @t51 @t1667 @t71 @t294 @t15)) % 47.01/47.28 (define @t3881 () (tptp.hAPP @t3849 @t290)) % 47.01/47.28 (define @t3882 () (tptp.hAPP @t3881 @t294)) % 47.01/47.28 (define @t3883 () (tptp.hAPP @t3850 @t3882)) % 47.01/47.28 (define @t3884 () (tptp.hBOOL (tptp.hAPP @t3883 @t1667))) % 47.01/47.28 (define @t3885 () (tptp.hAPP @t3843 @t1870)) % 47.01/47.28 (define @t3886 () (tptp.hAPP @t3885 @t1870)) % 47.01/47.28 (define @t3887 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t112 @t112) @t3845))) % 47.01/47.28 (define @t3888 () (@list @t1718 @t2100 @t112)) % 47.01/47.28 (define @t3889 () (tptp.hBOOL (tptp.hAPP @t3842 (tptp.hAPP (tptp.hAPP @t3843 @t2109) @t2112)))) % 47.01/47.28 (define @t3890 () (@list @t2112 @t2109 @t1718 @t2100 @t116 @t112)) % 47.01/47.28 (define @t3891 () (tptp.tc_prod @t71 @t184)) % 47.01/47.28 (define @t3892 () (tptp.tc_fun @t3891 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3893 () (tptp.c_Product__Type_OPair @t71 @t184)) % 47.01/47.28 (define @t3894 () (tptp.hAPP (tptp.hAPP @t3893 @t47) @t128)) % 47.01/47.28 (define @t3895 () (tptp.c_member @t3891)) % 47.01/47.28 (define @t3896 () (tptp.hAPP @t3895 @t3894)) % 47.01/47.28 (define @t3897 () (tptp.tc_fun @t3892 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3898 () (tptp.tc_fun @t184 @t3897)) % 47.01/47.28 (define @t3899 () (tptp.tc_fun @t184 @t3891)) % 47.01/47.28 (define @t3900 () (tptp.hAPP (tptp.c_COMBC @t71 @t3892 @t828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3898 (tptp.tc_fun @t3892 @t828) @t71) (tptp.c_COMBC @t184 @t3892 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3899 @t3898 @t71) (tptp.hAPP (tptp.c_COMBB @t3891 @t3897 @t184) @t3895)) @t3893)))) % 47.01/47.28 (define @t3901 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3892 @t2678 @t15) @t3900) @t1667)) % 47.01/47.28 (define @t3902 () (@list @t128 @t47 @t1667 @t184 @t71 @t15)) % 47.01/47.28 (define @t3903 () (@list @t1718 @t2100 @t116 @t112)) % 47.01/47.28 (define @t3904 () (tptp.hBOOL (tptp.hAPP @t309 @t3848))) % 47.01/47.28 (define @t3905 () (tptp.hBOOL (tptp.hAPP @t291 @t3848))) % 47.01/47.28 (define @t3906 () (tptp.hAPP @t3874 @t290)) % 47.01/47.28 (define @t3907 () (tptp.hAPP @t3906 @t294)) % 47.01/47.28 (define @t3908 () (tptp.hAPP @t3412 @t2663)) % 47.01/47.28 (define @t3909 () (tptp.tc_fun @t3430 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t3910 () (@var "V_br" $$unsorted)) % 47.01/47.28 (define @t3911 () (@var "V_ar" $$unsorted)) % 47.01/47.28 (define @t3912 () (tptp.hAPP (tptp.hAPP @t1878 @t3911) @t3910)) % 47.01/47.28 (define @t3913 () (@var "V_bq" $$unsorted)) % 47.01/47.28 (define @t3914 () (@var "V_aq" $$unsorted)) % 47.01/47.28 (define @t3915 () (not (= @t113 @t1870))) % 47.01/47.28 (define @t3916 () (tptp.c_Divides_Odivmod__int__rel @t116 @t113)) % 47.01/47.28 (define @t3917 () (@list @t3910 @t3913 @t116 @t3911 @t3914 @t113 @t112)) % 47.01/47.28 (define @t3918 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t1667) @t1870))) % 47.01/47.28 (define @t3919 () (tptp.hAPP @t2970 @t3294)) % 47.01/47.28 (define @t3920 () (tptp.hAPP @t2970 @t290)) % 47.01/47.28 (define @t3921 () (tptp.hAPP (tptp.hAPP @t3843 @t3294) @t1667)) % 47.01/47.28 (define @t3922 () (not @t3179)) % 47.01/47.28 (define @t3923 () (tptp.hAPP @t2102 @t1718)) % 47.01/47.28 (define @t3924 () (@list @t112 @t1718 @t2100 @t113 @t116)) % 47.01/47.28 (define @t3925 () (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t184)) % 47.01/47.28 (define @t3926 () (tptp.hAPP @t3925 @t2)) % 47.01/47.28 (define @t3927 () (tptp.hAPP @t397 @t294)) % 47.01/47.28 (define @t3928 () (tptp.c_member @t184)) % 47.01/47.28 (define @t3929 () (tptp.tc_fun tptp.tc_Int_Oint @t3823)) % 47.01/47.28 (define @t3930 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3929 tptp.tc_Int_Oint) @t3843)) % 47.01/47.28 (define @t3931 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3823)) % 47.01/47.28 (define @t3932 () (tptp.c_Nitpick_Onorm__frac @t290 @t294)) % 47.01/47.28 (define @t3933 () (or (= @t290 @t1870) (= @t294 @t1870))) % 47.01/47.28 (define @t3934 () (tptp.hAPP @t3885 @t1877)) % 47.01/47.28 (define @t3935 () (and (=> @t3186 (= @t3932 (tptp.c_Nitpick_Onorm__frac @t3920 (tptp.hAPP @t2970 @t294)))) (=> (not @t3186) (and (=> @t3933 (= @t3932 @t3934)) (=> (not @t3933) (= @t3932 (tptp.hAPP (tptp.hAPP @t3931 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t290) @t294)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3823) (tptp.hAPP @t3930 @t3182)) (tptp.hAPP @t3163 @t294))))))))) % 47.01/47.28 (define @t3936 () (tptp.hAPP @t3719 @t3294)) % 47.01/47.28 (define @t3937 () (tptp.c_If @t3823)) % 47.01/47.28 (define @t3938 () (tptp.tc_fun @t3823 @t3823)) % 47.01/47.28 (define @t3939 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3823 @t3938) tptp.tc_Int_Oint) @t3937)) % 47.01/47.28 (define @t3940 () (tptp.c_COMBS tptp.tc_Int_Oint @t3823 @t3938)) % 47.01/47.28 (define @t3941 () (tptp.c_Divides_Oadjust @t294)) % 47.01/47.28 (define @t3942 () (tptp.hBOOL (tptp.hAPP @t49 @t128))) % 47.01/47.28 (define @t3943 () (tptp.hBOOL (tptp.hAPP @t52 @t128))) % 47.01/47.28 (define @t3944 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3866 @t51) @t48) @t47) @t128))) % 47.01/47.28 (define @t3945 () (@list @t128 @t47 @t48 @t51 @t71 @t15)) % 47.01/47.28 (define @t3946 () (not @t3942)) % 47.01/47.28 (define @t3947 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3863 @t51) @t48) @t47) @t128))) % 47.01/47.28 (define @t3948 () (tptp.hAPP (tptp.hAPP @t3893 @t290) @t294)) % 47.01/47.28 (define @t3949 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t184 @t54) @t281)) % 47.01/47.28 (define @t3950 () (tptp.hAPP (tptp.hAPP @t281 @t290) @t294)) % 47.01/47.28 (define @t3951 () (tptp.hAPP (tptp.hAPP @t81 @t290) @t294)) % 47.01/47.28 (define @t3952 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3829 @t2) @t3882))) % 47.01/47.28 (define @t3953 () (tptp.hBOOL @t3927)) % 47.01/47.28 (define @t3954 () (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t828)) % 47.01/47.28 (define @t3955 () (tptp.hAPP (tptp.c_COMBC @t71 @t15 @t3429) @t3874)) % 47.01/47.28 (define @t3956 () (tptp.hBOOL (tptp.hAPP @t165 @t128))) % 47.01/47.28 (define @t3957 () (tptp.hBOOL (tptp.hAPP @t167 @t128))) % 47.01/47.28 (define @t3958 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3857 @t35) @t34))) % 47.01/47.28 (define @t3959 () (tptp.hAPP (tptp.hAPP @t3849 @t935) @t1111)) % 47.01/47.28 (define @t3960 () (@list @t935 @t1111)) % 47.01/47.28 (define @t3961 () (@var "V_b_H_2" $$unsorted)) % 47.01/47.28 (define @t3962 () (@var "V_a_H_2" $$unsorted)) % 47.01/47.28 (define @t3963 () (= @t290 @t3962)) % 47.01/47.28 (define @t3964 () (and @t3963 (= @t294 @t3961))) % 47.01/47.28 (define @t3965 () (tptp.hAPP (tptp.hAPP @t3849 @t3962) @t3961)) % 47.01/47.28 (define @t3966 () (@list @t3961 @t3962 @t294 @t290 @t71 @t15)) % 47.01/47.28 (define @t3967 () (tptp.c_Product__Type_OPair @t76 @t15)) % 47.01/47.28 (define @t3968 () (tptp.hAPP (tptp.hAPP @t3967 @t112) @t116)) % 47.01/47.28 (define @t3969 () (tptp.hAPP @t3925 @t281)) % 47.01/47.28 (define @t3970 () (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t184 @t15)) % 47.01/47.28 (define @t3971 () (tptp.hAPP @t3970 @t2)) % 47.01/47.28 (define @t3972 () (@var "T_f" $$unsorted)) % 47.01/47.28 (define @t3973 () (@var "T_e" $$unsorted)) % 47.01/47.28 (define @t3974 () (@list @t294 @t290 @t81 @t15 @t184 @t71)) % 47.01/47.28 (define @t3975 () (@list @t294 @t290 @t2 @t15 @t184 @t71)) % 47.01/47.28 (define @t3976 () (@list @t294 @t290 @t2 @t71 @t15)) % 47.01/47.28 (define @t3977 () (@list @t2 @t184 @t71 @t15)) % 47.01/47.28 (define @t3978 () (tptp.hAPP @t3829 @t3870)) % 47.01/47.28 (define @t3979 () (@list @t35 @t71 @t15)) % 47.01/47.28 (define @t3980 () (tptp.hAPP @t3829 (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t3832 (tptp.hAPP @t808 @t677))) @t333))) % 47.01/47.28 (define @t3981 () (tptp.hAPP (tptp.hAPP @t2021 @t1924) @t294)) % 47.01/47.28 (define @t3982 () (tptp.hAPP (tptp.c_COMBB @t3929 (tptp.tc_fun @t3599 @t3929) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3823 tptp.tc_Int_Oint))) % 47.01/47.28 (define @t3983 () (tptp.c_COMBC tptp.tc_Int_Oint @t3599 @t3929)) % 47.01/47.28 (define @t3984 () (tptp.tc_fun tptp.tc_Int_Oint @t3938)) % 47.01/47.28 (define @t3985 () (tptp.hAPP (tptp.c_COMBB @t3984 (tptp.tc_fun @t3929 @t3929) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3823 @t3823))) % 47.01/47.28 (define @t3986 () (tptp.c_COMBS tptp.tc_Int_Oint @t3929 @t3929)) % 47.01/47.28 (define @t3987 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3823)) % 47.01/47.28 (define @t3988 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t369 @t488)) % 47.01/47.28 (define @t3989 () (tptp.hAPP (tptp.hAPP @t3791 @t369) @t488)) % 47.01/47.28 (define @t3990 () (tptp.hAPP @t3719 @t3565)) % 47.01/47.28 (define @t3991 () (tptp.c_Divides_Oadjust @t3565)) % 47.01/47.28 (define @t3992 () (tptp.c_Divides_OnegDivAlg @t1877 @t3565)) % 47.01/47.28 (define @t3993 () (tptp.hAPP @t1879 @t3565)) % 47.01/47.28 (define @t3994 () (tptp.hBOOL (tptp.hAPP @t2025 @t3993))) % 47.01/47.28 (define @t3995 () (tptp.hAPP @t3843 @t3813)) % 47.01/47.28 (define @t3996 () (tptp.hBOOL (tptp.hAPP @t1919 @t3565))) % 47.01/47.28 (define @t3997 () (tptp.c_Divides_OnegDivAlg @t112 @t116)) % 47.01/47.28 (define @t3998 () (tptp.hAPP (tptp.hAPP @t3843 @t3248) @t3335)) % 47.01/47.28 (define @t3999 () (tptp.c_Divides_Oadjust @t116)) % 47.01/47.28 (define @t4000 () (= @t3997 (tptp.hAPP @t3999 (tptp.c_Divides_OnegDivAlg @t112 @t3721)))) % 47.01/47.28 (define @t4001 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t116) @t1870))) % 47.01/47.28 (define @t4002 () (tptp.hBOOL (tptp.hAPP @t2025 @t3342))) % 47.01/47.28 (define @t4003 () (or @t4002 @t4001)) % 47.01/47.28 (define @t4004 () (= @t3997 (tptp.hAPP @t3995 @t3342))) % 47.01/47.28 (define @t4005 () (tptp.hAPP @t3719 @t3444)) % 47.01/47.28 (define @t4006 () (tptp.c_Divides_Oadjust @t3444)) % 47.01/47.28 (define @t4007 () (tptp.c_Divides_OnegDivAlg @t3565 @t3444)) % 47.01/47.28 (define @t4008 () (tptp.hAPP (tptp.hAPP @t1878 @t3565) @t3444)) % 47.01/47.28 (define @t4009 () (tptp.hBOOL (tptp.hAPP @t2025 @t4008))) % 47.01/47.28 (define @t4010 () (tptp.hBOOL (tptp.hAPP @t1919 @t3444))) % 47.01/47.28 (define @t4011 () (tptp.c_Product__Type_OPair @t15 @t15)) % 47.01/47.28 (define @t4012 () (tptp.hAPP @t4011 @t3)) % 47.01/47.28 (define @t4013 () (tptp.hAPP @t4012 @t3)) % 47.01/47.28 (define @t4014 () (tptp.c_member @t3402)) % 47.01/47.28 (define @t4015 () (tptp.hAPP @t4014 @t4013)) % 47.01/47.28 (define @t4016 () (tptp.hBOOL (tptp.hAPP @t4015 @t1667))) % 47.01/47.28 (define @t4017 () (tptp.c_Divides_OposDivAlg @t1877 @t3565)) % 47.01/47.28 (define @t4018 () (tptp.hBOOL (tptp.hAPP @t2263 @t3565))) % 47.01/47.28 (define @t4019 () (tptp.c_Divides_OposDivAlg @t112 @t116)) % 47.01/47.28 (define @t4020 () (= @t4019 (tptp.hAPP @t3999 (tptp.c_Divides_OposDivAlg @t112 @t3721)))) % 47.01/47.28 (define @t4021 () (or @t3210 @t4001)) % 47.01/47.28 (define @t4022 () (= @t4019 (tptp.hAPP @t3885 @t112))) % 47.01/47.28 (define @t4023 () (tptp.c_Divides_OposDivAlg @t3565 @t3444)) % 47.01/47.28 (define @t4024 () (tptp.hAPP @t1882 @t3565)) % 47.01/47.28 (define @t4025 () (tptp.hBOOL (tptp.hAPP @t4024 @t3444))) % 47.01/47.28 (define @t4026 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t3171 @t3174))) % 47.01/47.28 (define @t4027 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t3171 @t3174))) % 47.01/47.28 (define @t4028 () (tptp.hBOOL (tptp.hAPP @t2025 @t116))) % 47.01/47.28 (define @t4029 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4030 () (tptp.c_Divides_Odivmod__nat @t488 @t369)) % 47.01/47.28 (define @t4031 () (tptp.c_Divides_Opdivmod @t469 @t1490)) % 47.01/47.28 (define @t4032 () (tptp.hAPP (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3986 (tptp.hAPP @t3985 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3823 @t3984 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3823 @t3938) (tptp.hAPP @t3939 @t3799))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3823) (tptp.hAPP @t3930 @t2970)) @t1870)))) (tptp.hAPP (tptp.hAPP @t3983 (tptp.hAPP @t3982 (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t2021 (tptp.hAPP (tptp.hAPP @t3600 @t1924) @t2970)) @t1877)))) (tptp.hAPP @t1924 (tptp.hAPP @t2289 @t1490))))) @t4031)) % 47.01/47.28 (define @t4033 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1490)) % 47.01/47.28 (define @t4034 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t1891 @t4033))) % 47.01/47.28 (define @t4035 () (tptp.c_Divides_Odivmod__int @t469 @t1490)) % 47.01/47.28 (define @t4036 () (= @t1490 @t1870)) % 47.01/47.28 (define @t4037 () (not @t4036)) % 47.01/47.28 (define @t4038 () (=> @t4036 (= @t4035 (tptp.hAPP @t3885 @t469)))) % 47.01/47.28 (define @t4039 () (=> @t3217 (= @t4035 @t3886))) % 47.01/47.28 (define @t4040 () (tptp.c_Product__Type_OPair @t15 @t184)) % 47.01/47.28 (define @t4041 () (tptp.hAPP (tptp.hAPP @t4040 @t47) @t128)) % 47.01/47.28 (define @t4042 () (tptp.c_Product__Type_Oapsnd @t184 @t71 @t15 @t2)) % 47.01/47.28 (define @t4043 () (tptp.hAPP @t4029 @t520)) % 47.01/47.28 (define @t4044 () (tptp.hAPP @t4043 @t488)) % 47.01/47.28 (define @t4045 () (tptp.hAPP (tptp.hAPP @t4029 @t3263) @t3371)) % 47.01/47.28 (define @t4046 () (@var "V_qr" $$unsorted)) % 47.01/47.28 (define @t4047 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4048 () (tptp.tc_fun tptp.tc_Nat_Onat @t4047)) % 47.01/47.28 (define @t4049 () (tptp.c_Divides_Odivmod__nat @t496 @t260)) % 47.01/47.28 (define @t4050 () (or @t554 @t860)) % 47.01/47.28 (define @t4051 () (tptp.hAPP @t2289 @t666)) % 47.01/47.28 (define @t4052 () (tptp.hAPP @t2289 @t558)) % 47.01/47.28 (define @t4053 () (tptp.c_Divides_Opdivmod @t558 @t666)) % 47.01/47.28 (define @t4054 () (= @t666 @t1870)) % 47.01/47.28 (define @t4055 () (tptp.hAPP (tptp.hAPP @t4029 @t2100) @t1718)) % 47.01/47.28 (define @t4056 () (tptp.hAPP @t3388 @t1718)) % 47.01/47.28 (define @t4057 () (tptp.c_Divides_Odivmod__nat__rel @t116 @t113)) % 47.01/47.28 (define @t4058 () (tptp.hAPP @t3719 @t294)) % 47.01/47.28 (define @t4059 () (tptp.c_Divides_OnegDivAlg @t290 @t294)) % 47.01/47.28 (define @t4060 () (tptp.hBOOL (tptp.hAPP @t3212 @t1870))) % 47.01/47.28 (define @t4061 () (tptp.hAPP @t3733 @t294)) % 47.01/47.28 (define @t4062 () (or (tptp.hBOOL (tptp.hAPP @t2025 @t4061)) @t4060)) % 47.01/47.28 (define @t4063 () (tptp.hAPP (tptp.hAPP @t3843 @t290) @t294)) % 47.01/47.28 (define @t4064 () (tptp.c_Wellfounded_Oaccp @t3823 tptp.c_Divides_OnegDivAlg__rel)) % 47.01/47.28 (define @t4065 () (@var "V_qr_H" $$unsorted)) % 47.01/47.28 (define @t4066 () (tptp.c_Divides_Odivmod__nat__rel @t488 @t369)) % 47.01/47.28 (define @t4067 () (tptp.hBOOL (tptp.hAPP @t4066 @t4046))) % 47.01/47.28 (define @t4068 () (tptp.c_Divides_Odivmod__nat__rel @t496 @t260)) % 47.01/47.28 (define @t4069 () (tptp.hBOOL (tptp.hAPP @t4066 @t4055))) % 47.01/47.28 (define @t4070 () (@list @t1718 @t2100 @t369 @t488)) % 47.01/47.28 (define @t4071 () (tptp.hAPP (tptp.hAPP @t1274 @t3911) @t3910)) % 47.01/47.28 (define @t4072 () (tptp.c_Divides_OposDivAlg @t290 @t294)) % 47.01/47.28 (define @t4073 () (or (tptp.hBOOL (tptp.hAPP @t3188 @t294)) @t4060)) % 47.01/47.28 (define @t4074 () (tptp.c_Wellfounded_Oaccp @t3823 tptp.c_Divides_OposDivAlg__rel)) % 47.01/47.28 (define @t4075 () (tptp.c_Wellfounded_Oaccp @t3823 tptp.c_Nitpick_Onorm__frac__rel)) % 47.01/47.28 (define @t4076 () (@var "V_a0_2" $$unsorted)) % 47.01/47.28 (define @t4077 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t4076) @t278))) % 47.01/47.28 (define @t4078 () (tptp.hAPP @t35 @t935)) % 47.01/47.28 (define @t4079 () (tptp.hBOOL (tptp.hAPP @t4078 @t1111))) % 47.01/47.28 (define @t4080 () (tptp.hBOOL (tptp.hAPP @t4078 (tptp.hAPP @t3719 @t1111)))) % 47.01/47.28 (define @t4081 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1111) @t1870))) % 47.01/47.28 (define @t4082 () (tptp.hAPP (tptp.hAPP @t3843 @t935) @t1111)) % 47.01/47.28 (define @t4083 () (tptp.hAPP (tptp.hAPP @t3843 @t4076) @t278)) % 47.01/47.28 (define @t4084 () (@list @t35 @t278 @t4076)) % 47.01/47.28 (define @t4085 () (@var "V_R1_2" $$unsorted)) % 47.01/47.28 (define @t4086 () (@var "V_R2_2" $$unsorted)) % 47.01/47.28 (define @t4087 () (tptp.c_Orderings_Oord__class_Oless__eq @t2478)) % 47.01/47.28 (define @t4088 () (@list @t4086 @t4085 @t15)) % 47.01/47.28 (define @t4089 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t3396 @t3566))) % 47.01/47.28 (define @t4090 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t4091 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1877 @t3565)) % 47.01/47.28 (define @t4092 () (tptp.hBOOL (tptp.hAPP @t4024 @t1870))) % 47.01/47.28 (define @t4093 () (tptp.c_Product__Type_OPair @t15 @t76)) % 47.01/47.28 (define @t4094 () (tptp.c_Product__Type_Osnd @t15 @t76)) % 47.01/47.28 (define @t4095 () (tptp.c_Product__Type_Osnd @t71 @t15)) % 47.01/47.28 (define @t4096 () (tptp.hAPP @t4095 @t1796)) % 47.01/47.28 (define @t4097 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t15 @t184) @t47)) % 47.01/47.28 (define @t4098 () (tptp.hAPP @t4042 @t47)) % 47.01/47.28 (define @t4099 () (tptp.c_Product__Type_Osnd @t71 @t184)) % 47.01/47.28 (define @t4100 () (tptp.hAPP @t4099 @t47)) % 47.01/47.28 (define @t4101 () (@list @t47 @t2 @t184 @t15 @t71)) % 47.01/47.28 (define @t4102 () (tptp.c_Wellfounded_Oaccp @t15 @t1667)) % 47.01/47.28 (define @t4103 () (tptp.hAPP @t1667 @t3)) % 47.01/47.28 (define @t4104 () (tptp.hBOOL (tptp.hAPP @t4102 @t290))) % 47.01/47.28 (define @t4105 () (@list @t290 @t1667 @t15)) % 47.01/47.28 (define @t4106 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1667 @t290) @t294))) % 47.01/47.28 (define @t4107 () (tptp.c_Nitpick_Onat__gcd @t47 @t128)) % 47.01/47.28 (define @t4108 () (= @t128 @t520)) % 47.01/47.28 (define @t4109 () (tptp.hAPP (tptp.hAPP @t4029 @t47) @t128)) % 47.01/47.28 (define @t4110 () (tptp.c_Wellfounded_Oaccp @t4047 tptp.c_Nitpick_Onat__gcd__rel)) % 47.01/47.28 (define @t4111 () (@var "V_nat" $$unsorted)) % 47.01/47.28 (define @t4112 () (tptp.hAPP tptp.c_Nat_OSuc @t4111)) % 47.01/47.28 (define @t4113 () (@list @t4111)) % 47.01/47.28 (define @t4114 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t69) @t411))) % 47.01/47.28 (define @t4115 () (tptp.c_Wellfounded_Omeasure @t15)) % 47.01/47.28 (define @t4116 () (tptp.hAPP @t4115 @t2)) % 47.01/47.28 (define @t4117 () (tptp.hAPP @t4011 @t47)) % 47.01/47.28 (define @t4118 () (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t128))) % 47.01/47.28 (define @t4119 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4120 () (forall @t7 (not @t4016))) % 47.01/47.28 (define @t4121 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t4122 () (tptp.hAPP @t3545 @t3565)) % 47.01/47.28 (define @t4123 () (tptp.c_Product__Type_Osnd @t76 @t15)) % 47.01/47.28 (define @t4124 () (tptp.hAPP @t4123 @t2986)) % 47.01/47.28 (define @t4125 () (tptp.c_Product__Type_Ofst @t76 @t15)) % 47.01/47.28 (define @t4126 () (tptp.hAPP @t4125 @t2986)) % 47.01/47.28 (define @t4127 () (tptp.c_Product__Type_Osnd @t15 @t71)) % 47.01/47.28 (define @t4128 () (tptp.c_Product__Type_Ofst @t15 @t71)) % 47.01/47.28 (define @t4129 () (@list @t116 @t112 @t15 @t76)) % 47.01/47.28 (define @t4130 () (tptp.hAPP (tptp.hAPP @t3967 @t75) @t95)) % 47.01/47.28 (define @t4131 () (tptp.hAPP @t4128 @t1796)) % 47.01/47.28 (define @t4132 () (@list @t47 @t2 @t184 @t71 @t15)) % 47.01/47.28 (define @t4133 () (tptp.hAPP @t4099 @t1796)) % 47.01/47.28 (define @t4134 () (tptp.c_Product__Type_Ofst @t71 @t184)) % 47.01/47.28 (define @t4135 () (tptp.hAPP @t4134 @t1796)) % 47.01/47.28 (define @t4136 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2508 @t71 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t88 @t2508) @t35) @t4128)) @t4127)) % 47.01/47.28 (define @t4137 () (tptp.hAPP @t3829 @t35)) % 47.01/47.28 (define @t4138 () (tptp.hAPP (tptp.hAPP @t3849 @t1796) @t3294)) % 47.01/47.28 (define @t4139 () (tptp.hAPP @t3874 @t47)) % 47.01/47.28 (define @t4140 () (tptp.hAPP @t4139 @t128)) % 47.01/47.28 (define @t4141 () (tptp.c_Product__Type_Ofst @t71 @t15)) % 47.01/47.28 (define @t4142 () (tptp.hAPP @t35 @t128)) % 47.01/47.28 (define @t4143 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4144 () (@var "V_qr_2" $$unsorted)) % 47.01/47.28 (define @t4145 () (tptp.hAPP @t4119 @t4144)) % 47.01/47.28 (define @t4146 () (tptp.hAPP @t4143 @t4144)) % 47.01/47.28 (define @t4147 () (tptp.tc_fun @t1866 @t1866)) % 47.01/47.28 (define @t4148 () (tptp.tc_fun tptp.tc_Nat_Onat @t4147)) % 47.01/47.28 (define @t4149 () (tptp.tc_fun tptp.tc_Nat_Onat @t1866)) % 47.01/47.28 (define @t4150 () (tptp.hAPP tptp.c_Int_ORep__Integ @t202)) % 47.01/47.28 (define @t4151 () (tptp.hAPP (tptp.hAPP @t4029 @t3) @t783)) % 47.01/47.28 (define @t4152 () (tptp.c_Product__Type_OPair @t71 @t71)) % 47.01/47.28 (define @t4153 () (tptp.tc_prod @t71 @t71)) % 47.01/47.28 (define @t4154 () (tptp.tc_fun @t71 @t4153)) % 47.01/47.28 (define @t4155 () (tptp.tc_fun @t15 @t4153)) % 47.01/47.28 (define @t4156 () (tptp.c_member @t4153)) % 47.01/47.28 (define @t4157 () (tptp.tc_fun @t4153 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4158 () (tptp.tc_fun @t4157 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4159 () (tptp.tc_fun @t15 @t4158)) % 47.01/47.28 (define @t4160 () (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t15 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4161 () (tptp.c_Set_OCollect @t3402)) % 47.01/47.28 (define @t4162 () (tptp.c_Relation_Oinv__image @t71 @t15)) % 47.01/47.28 (define @t4163 () (tptp.hAPP (tptp.hAPP @t4162 @t1667) @t2)) % 47.01/47.28 (define @t4164 () (tptp.hAPP tptp.c_Int_ORep__Integ @t47)) % 47.01/47.28 (define @t4165 () (tptp.c_Relation_Oinv__image @t15 @t71)) % 47.01/47.28 (define @t4166 () (tptp.tc_prod @t4157 @t4157)) % 47.01/47.28 (define @t4167 () (tptp.tc_fun @t4157 @t4166)) % 47.01/47.28 (define @t4168 () (tptp.tc_fun @t72 @t4167)) % 47.01/47.28 (define @t4169 () (tptp.tc_fun @t72 @t4157)) % 47.01/47.28 (define @t4170 () (tptp.tc_fun @t72 @t4166)) % 47.01/47.28 (define @t4171 () (tptp.tc_fun @t4169 @t4170)) % 47.01/47.28 (define @t4172 () (tptp.tc_fun @t3403 @t4170)) % 47.01/47.28 (define @t4173 () (tptp.tc_fun @t3403 @t4169)) % 47.01/47.28 (define @t4174 () (tptp.c_FunDef_Orp__inv__image @t15 @t71)) % 47.01/47.28 (define @t4175 () (tptp.hAPP @t4011 @t290)) % 47.01/47.28 (define @t4176 () (tptp.hAPP @t4175 @t294)) % 47.01/47.28 (define @t4177 () (tptp.hAPP @t4014 @t4176)) % 47.01/47.28 (define @t4178 () (tptp.hBOOL (tptp.hAPP @t4177 @t1667))) % 47.01/47.28 (define @t4179 () (tptp.hAPP @t3407 @t350)) % 47.01/47.28 (define @t4180 () (tptp.hAPP @t3407 @t335)) % 47.01/47.28 (define @t4181 () (tptp.c_Equiv__Relations_Oequiv @t15 @t51 @t1667)) % 47.01/47.28 (define @t4182 () (=> @t362 @t4178)) % 47.01/47.28 (define @t4183 () (@list @t290 @t1667 @t51 @t15)) % 47.01/47.28 (define @t4184 () (= @t508 @t236)) % 47.01/47.28 (define @t4185 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t236) @t3401))) % 47.01/47.28 (define @t4186 () (= @t4180 @t4179)) % 47.01/47.28 (define @t4187 () (@list @t294 @t290 @t1667 @t51 @t15)) % 47.01/47.28 (define @t4188 () (tptp.hBOOL (tptp.hAPP @t4118 @t1667))) % 47.01/47.28 (define @t4189 () (tptp.hBOOL (tptp.hAPP @t360 @t236))) % 47.01/47.28 (define @t4190 () (tptp.hBOOL (tptp.hAPP @t323 @t508))) % 47.01/47.28 (define @t4191 () (@list @t128 @t47 @t236 @t508 @t1667 @t51 @t15)) % 47.01/47.28 (define @t4192 () (= @t3409 (tptp.hAPP @t3407 @t1209))) % 47.01/47.28 (define @t4193 () (@list @t128 @t47 @t1667 @t51 @t15)) % 47.01/47.28 (define @t4194 () (tptp.c_Equiv__Relations_Ocongruent @t15 @t88 @t1667 @t2)) % 47.01/47.28 (define @t4195 () (@var "V_r2_2" $$unsorted)) % 47.01/47.28 (define @t4196 () (tptp.c_Relation_OImage @t71 @t71 @t4195)) % 47.01/47.28 (define @t4197 () (tptp.c_COMBB @t2678 @t828 @t15)) % 47.01/47.28 (define @t4198 () (@var "V_r1_2" $$unsorted)) % 47.01/47.28 (define @t4199 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t828)) % 47.01/47.28 (define @t4200 () (@var "V_A2_2" $$unsorted)) % 47.01/47.28 (define @t4201 () (@var "V_A1_2" $$unsorted)) % 47.01/47.28 (define @t4202 () (tptp.c_Equiv__Relations_Ocongruent2 @t15 @t71 @t828 @t4198 @t4195 @t2)) % 47.01/47.28 (define @t4203 () (tptp.c_Equiv__Relations_Oequiv @t71 @t4200 @t4195)) % 47.01/47.28 (define @t4204 () (tptp.c_Equiv__Relations_Oequiv @t15 @t4201 @t4198)) % 47.01/47.28 (define @t4205 () (tptp.c_Wellfounded_Ofinite__psubset @t15)) % 47.01/47.28 (define @t4206 () (tptp.c_Product__Type_OPair @t54 @t54)) % 47.01/47.28 (define @t4207 () (tptp.tc_prod @t54 @t54)) % 47.01/47.28 (define @t4208 () (tptp.c_member @t4207)) % 47.01/47.28 (define @t4209 () (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t51) @t48))) % 47.01/47.28 (define @t4210 () (tptp.c_Equiv__Relations_Ocongruent2 @t15 @t71 @t184 @t4198 @t4195 @t2)) % 47.01/47.28 (define @t4211 () (@var "V_z2_2" $$unsorted)) % 47.01/47.28 (define @t4212 () (@var "V_z1_2" $$unsorted)) % 47.01/47.28 (define @t4213 () (@var "V_y2_2" $$unsorted)) % 47.01/47.28 (define @t4214 () (@var "V_y1_2" $$unsorted)) % 47.01/47.28 (define @t4215 () (tptp.hAPP @t4011 @t128)) % 47.01/47.28 (define @t4216 () (tptp.hAPP @t4014 (tptp.hAPP @t4215 @t202))) % 47.01/47.28 (define @t4217 () (tptp.c_Equiv__Relations_Ocongruent @t15 @t71 @t1667 @t2)) % 47.01/47.28 (define @t4218 () (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t783))) % 47.01/47.28 (define @t4219 () (tptp.hBOOL (tptp.hAPP @t4218 @t1667))) % 47.01/47.28 (define @t4220 () (= @t5 @t2543)) % 47.01/47.28 (define @t4221 () (tptp.hAPP (tptp.hAPP @t2497 @t508) @t2)) % 47.01/47.28 (define @t4222 () (@var "V_X2_2" $$unsorted)) % 47.01/47.28 (define @t4223 () (@var "V_X1_2" $$unsorted)) % 47.01/47.28 (define @t4224 () (tptp.c_member @t828)) % 47.01/47.28 (define @t4225 () (@var "B_x2" $$unsorted)) % 47.01/47.28 (define @t4226 () (tptp.c_member @t88)) % 47.01/47.28 (define @t4227 () (tptp.c_Wellfounded_Omlex__prod @t15 @t2 @t387)) % 47.01/47.28 (define @t4228 () (tptp.hBOOL (tptp.hAPP @t4118 @t4227))) % 47.01/47.28 (define @t4229 () (tptp.hBOOL (tptp.hAPP @t4118 @t387))) % 47.01/47.28 (define @t4230 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t69) @t411))) % 47.01/47.28 (define @t4231 () (@list @t387 @t15 @t128 @t47 @t2)) % 47.01/47.28 (define @t4232 () (@var "V_code__numeral" $$unsorted)) % 47.01/47.28 (define @t4233 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4232)) % 47.01/47.28 (define @t4234 () (@list @t4232)) % 47.01/47.28 (define @t4235 () (@var "V_code__numeral_H_2" $$unsorted)) % 47.01/47.28 (define @t4236 () (@var "V_code__numeral_2" $$unsorted)) % 47.01/47.28 (define @t4237 () (tptp.c_Code__Numeral_OSuc__code__numeral @t4236)) % 47.01/47.28 (define @t4238 () (@var "V_code__numeral_H_1" $$unsorted)) % 47.01/47.28 (define @t4239 () (@var "V_code__numeral_H" $$unsorted)) % 47.01/47.28 (define @t4240 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t4241 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4242 () (tptp.hAPP @t3831 @t4137)) % 47.01/47.28 (define @t4243 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t2509 @t2)) % 47.01/47.28 (define @t4244 () (tptp.c_Product__Type_OPair @t2508 @t2508)) % 47.01/47.28 (define @t4245 () (tptp.c_member (tptp.tc_prod @t2508 @t2508))) % 47.01/47.28 (define @t4246 () (tptp.tc_fun @t3403 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4247 () (tptp.hAPP (tptp.c_COMBB @t3402 @t4246 @t15) @t4014)) % 47.01/47.28 (define @t4248 () (tptp.tc_fun @t15 @t4246)) % 47.01/47.28 (define @t4249 () (tptp.tc_fun @t15 @t3402)) % 47.01/47.28 (define @t4250 () (tptp.c_COMBC @t15 @t3403 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4251 () (tptp.hAPP (tptp.c_COMBC @t15 @t3403 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4248 (tptp.tc_fun @t3403 @t54) @t15) @t4250) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4249 @t4248 @t15) @t4247) @t4011)))) % 47.01/47.28 (define @t4252 () (=> @t959 (=> (tptp.hBOOL (tptp.hAPP @t956 @t202)) (tptp.hBOOL (tptp.hAPP @t958 @t202))))) % 47.01/47.28 (define @t4253 () (tptp.c_Equiv__Relations_Oequivp @t15 @t387)) % 47.01/47.28 (define @t4254 () (@list @t202 @t128 @t47 @t387 @t15)) % 47.01/47.28 (define @t4255 () (=> @t959 @t957)) % 47.01/47.28 (define @t4256 () (tptp.hAPP @t387 @t783)) % 47.01/47.28 (define @t4257 () (tptp.hAPP @t387 @t3)) % 47.01/47.28 (define @t4258 () (= @t4257 @t4256)) % 47.01/47.28 (define @t4259 () (tptp.hBOOL (tptp.hAPP @t4257 @t783))) % 47.01/47.28 (define @t4260 () (@list @t387 @t15)) % 47.01/47.28 (define @t4261 () (tptp.c_Recdef_Osame__fst @t15 @t71 @t35 @t387)) % 47.01/47.28 (define @t4262 () (@var "V_y_H_2" $$unsorted)) % 47.01/47.28 (define @t4263 () (tptp.c_Product__Type_Osnd @t3973 @t184)) % 47.01/47.28 (define @t4264 () (tptp.c_Product__Type_Oapfst @t3973 @t15 @t184 @t1)) % 47.01/47.28 (define @t4265 () (@list @t47 @t1 @t3973 @t2 @t15 @t71 @t184)) % 47.01/47.28 (define @t4266 () (tptp.c_Product__Type_Osnd @t184 @t3973)) % 47.01/47.28 (define @t4267 () (tptp.hAPP @t1 (tptp.hAPP @t4266 @t47))) % 47.01/47.28 (define @t4268 () (tptp.c_Product__Type_Ofst @t184 @t3973)) % 47.01/47.28 (define @t4269 () (tptp.hAPP @t2 (tptp.hAPP @t4268 @t47))) % 47.01/47.28 (define @t4270 () (tptp.c_Product__Type_Oapfst @t184 @t15 @t71 @t2)) % 47.01/47.28 (define @t4271 () (@list @t47 @t1 @t3973 @t2 @t71 @t15 @t184)) % 47.01/47.28 (define @t4272 () (tptp.c_Product__Type_OPair @t184 @t71)) % 47.01/47.28 (define @t4273 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t184 @t71) @t47)) % 47.01/47.28 (define @t4274 () (tptp.hAPP @t2 @t4273)) % 47.01/47.28 (define @t4275 () (tptp.hAPP @t4270 @t47)) % 47.01/47.28 (define @t4276 () (tptp.c_Product__Type_OPair @t4047 @t4047)) % 47.01/47.28 (define @t4277 () (tptp.tc_prod @t4047 @t4047)) % 47.01/47.28 (define @t4278 () (tptp.c_member @t4277)) % 47.01/47.28 (define @t4279 () (tptp.hAPP @t4278 (tptp.hAPP (tptp.hAPP @t4276 (tptp.hAPP (tptp.hAPP @t4029 @t290) @t543)) (tptp.hAPP (tptp.hAPP @t4029 @t294) @t393)))) % 47.01/47.28 (define @t4280 () (tptp.hBOOL (tptp.hAPP @t4279 tptp.c_FunDef_Opair__less))) % 47.01/47.28 (define @t4281 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t290) @t294))) % 47.01/47.28 (define @t4282 () (@list @t393 @t543 @t294 @t290)) % 47.01/47.28 (define @t4283 () (tptp.tc_prod tptp.tc_Nat_Onat @t15)) % 47.01/47.28 (define @t4284 () (tptp.c_member @t4047)) % 47.01/47.28 (define @t4285 () (tptp.hBOOL (tptp.hAPP @t4279 tptp.c_FunDef_Opair__leq))) % 47.01/47.28 (define @t4286 () (@var "V_YS_2" $$unsorted)) % 47.01/47.28 (define @t4287 () (tptp.c_Set_Oinsert @t4047)) % 47.01/47.28 (define @t4288 () (tptp.hAPP @t4287 @t128)) % 47.01/47.28 (define @t4289 () (@var "V_XS_2" $$unsorted)) % 47.01/47.28 (define @t4290 () (tptp.tc_fun @t4047 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4291 () (tptp.c_Product__Type_OPair @t4290 @t4290)) % 47.01/47.28 (define @t4292 () (tptp.hAPP @t4291 @t4289)) % 47.01/47.28 (define @t4293 () (tptp.tc_prod @t4290 @t4290)) % 47.01/47.28 (define @t4294 () (tptp.c_member @t4293)) % 47.01/47.28 (define @t4295 () (tptp.hAPP @t4294 (tptp.hAPP @t4292 (tptp.hAPP @t4288 @t4286)))) % 47.01/47.28 (define @t4296 () (tptp.hAPP @t4294 (tptp.hAPP @t4292 @t4286))) % 47.01/47.28 (define @t4297 () (tptp.hAPP @t4278 (tptp.hAPP (tptp.hAPP @t4276 @t47) @t128))) % 47.01/47.28 (define @t4298 () (tptp.hBOOL (tptp.hAPP @t4297 tptp.c_FunDef_Opair__less))) % 47.01/47.28 (define @t4299 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 @t47) @t4289))) % 47.01/47.28 (define @t4300 () (@list @t4286 @t128 @t4289 @t47)) % 47.01/47.28 (define @t4301 () (tptp.hAPP @t4287 @t47)) % 47.01/47.28 (define @t4302 () (tptp.hAPP @t4291 @t508)) % 47.01/47.28 (define @t4303 () (tptp.hAPP @t4284 @t128)) % 47.01/47.28 (define @t4304 () (tptp.c_Orderings_Obot__class_Obot @t4290)) % 47.01/47.28 (define @t4305 () (tptp.hAPP @t4294 (tptp.hAPP @t4302 @t4304))) % 47.01/47.28 (define @t4306 () (@list @t508)) % 47.01/47.28 (define @t4307 () (tptp.hAPP @t4291 @t4304)) % 47.01/47.28 (define @t4308 () (tptp.c_Finite__Set_Ofinite @t4047)) % 47.01/47.28 (define @t4309 () (tptp.hBOOL (tptp.hAPP @t4297 tptp.c_FunDef_Opair__leq))) % 47.01/47.28 (define @t4310 () (tptp.c_Relation_OField @t15)) % 47.01/47.28 (define @t4311 () (tptp.hAPP @t4310 @t1667)) % 47.01/47.28 (define @t4312 () (tptp.c_Set_Oinsert @t3402)) % 47.01/47.28 (define @t4313 () (@list @t1667 @t294 @t290 @t15)) % 47.01/47.28 (define @t4314 () (tptp.hAPP @t4310 @t543)) % 47.01/47.28 (define @t4315 () (tptp.hAPP @t3446 @t1667)) % 47.01/47.28 (define @t4316 () (tptp.hBOOL (tptp.hAPP @t4315 @t543))) % 47.01/47.28 (define @t4317 () (@list @t543 @t1667 @t15)) % 47.01/47.28 (define @t4318 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3403)) % 47.01/47.28 (define @t4319 () (tptp.hAPP @t4318 @t1667)) % 47.01/47.28 (define @t4320 () (tptp.hAPP @t4319 @t543)) % 47.01/47.28 (define @t4321 () (tptp.c_Finite__Set_Ofinite @t3402)) % 47.01/47.28 (define @t4322 () (tptp.hBOOL (tptp.hAPP @t4321 @t1667))) % 47.01/47.28 (define @t4323 () (tptp.tc_fun @t4293 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4324 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4293) (tptp.hAPP @t4307 @t4304)) (tptp.c_Orderings_Obot__class_Obot @t4323))) % 47.01/47.28 (define @t4325 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4323)) % 47.01/47.28 (define @t4326 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t15 @t15 @t3402) @t4011) @t237)) % 47.01/47.28 (define @t4327 () (tptp.c_Relation_OId__on @t15 @t51)) % 47.01/47.28 (define @t4328 () (tptp.c_Wellfounded_Omax__ext @t15 @t387)) % 47.01/47.28 (define @t4329 () (@var "V_xa_2" $$unsorted)) % 47.01/47.28 (define @t4330 () (tptp.c_Product__Type_OPair @t4323 @t4323)) % 47.01/47.28 (define @t4331 () (tptp.c_FunDef_Oreduction__pair @t15 @t35)) % 47.01/47.28 (define @t4332 () (tptp.c_Relation_OImage @t4047 @t4047 tptp.c_Int_Ointrel)) % 47.01/47.28 (define @t4333 () (tptp.hAPP (tptp.hAPP @t1274 @t1486) @t128)) % 47.01/47.28 (define @t4334 () (tptp.hAPP @t1274 @t47)) % 47.01/47.28 (define @t4335 () (tptp.hAPP @t4334 @t3462)) % 47.01/47.28 (define @t4336 () (tptp.hAPP (tptp.hAPP @t4029 @t1486) @t3462)) % 47.01/47.28 (define @t4337 () (@list @t3462 @t1486 @t128 @t47)) % 47.01/47.28 (define @t4338 () (tptp.c_Orderings_Otop__class_Otop @t4290)) % 47.01/47.28 (define @t4339 () (tptp.hAPP @t1625 @t128)) % 47.01/47.28 (define @t4340 () (tptp.hAPP @t1625 @t47)) % 47.01/47.28 (define @t4341 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 @t4336) @t4304)))) % 47.01/47.28 (define @t4342 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 @t4109) @t4304)))) % 47.01/47.28 (define @t4343 () (tptp.hAPP @t4029 @t496)) % 47.01/47.28 (define @t4344 () (tptp.tc_fun @t4290 @t4290)) % 47.01/47.28 (define @t4345 () (tptp.tc_fun tptp.tc_Nat_Onat @t4344)) % 47.01/47.28 (define @t4346 () (tptp.tc_fun tptp.tc_Nat_Onat @t4290)) % 47.01/47.28 (define @t4347 () (tptp.hAPP @t771 @t4236)) % 47.01/47.28 (define @t4348 () (@list @t4236 @t771 @t81 @t15)) % 47.01/47.28 (define @t4349 () (tptp.c_member @t4290)) % 47.01/47.28 (define @t4350 () (tptp.c_Wellfounded_Oacc @t15 @t1667)) % 47.01/47.28 (define @t4351 () (tptp.hBOOL (tptp.hAPP @t323 @t4350))) % 47.01/47.28 (define @t4352 () (tptp.hAPP @t4251 @t1667)) % 47.01/47.28 (define @t4353 () (@list @t47 @t1667 @t15)) % 47.01/47.28 (define @t4354 () (tptp.tc_prod @t184 @t71)) % 47.01/47.28 (define @t4355 () (tptp.c_member @t4354)) % 47.01/47.28 (define @t4356 () (tptp.tc_fun @t4354 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4357 () (tptp.tc_fun @t4356 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4358 () (tptp.tc_fun @t184 @t4357)) % 47.01/47.28 (define @t4359 () (tptp.tc_prod @t15 @t184)) % 47.01/47.28 (define @t4360 () (tptp.c_member @t4359)) % 47.01/47.28 (define @t4361 () (tptp.tc_fun @t4359 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4362 () (tptp.tc_fun @t4361 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4363 () (tptp.tc_fun @t184 @t4362)) % 47.01/47.28 (define @t4364 () (tptp.tc_fun @t184 @t517)) % 47.01/47.28 (define @t4365 () (tptp.tc_fun @t828 @t828)) % 47.01/47.28 (define @t4366 () (tptp.c_Relation_Orel__comp @t15 @t184 @t71)) % 47.01/47.28 (define @t4367 () (tptp.hAPP (tptp.hAPP @t4366 @t1667) @t543)) % 47.01/47.28 (define @t4368 () (tptp.c_Relation_Orel__comp @t15 @t71 @t184)) % 47.01/47.28 (define @t4369 () (tptp.hAPP (tptp.hAPP @t4368 @t1667) @t543)) % 47.01/47.28 (define @t4370 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3973 @t2509) @t2607)) % 47.01/47.28 (define @t4371 () (tptp.hAPP @t4366 @t543)) % 47.01/47.28 (define @t4372 () (tptp.hAPP @t4366 @t387)) % 47.01/47.28 (define @t4373 () (@list @t387 @t71 @t184 @t15)) % 47.01/47.28 (define @t4374 () (@var "V_s_H_2" $$unsorted)) % 47.01/47.28 (define @t4375 () (tptp.c_Orderings_Oord__class_Oless__eq @t4361)) % 47.01/47.28 (define @t4376 () (tptp.c_Orderings_Oord__class_Oless__eq @t3892)) % 47.01/47.28 (define @t4377 () (tptp.c_Relation_Orel__comp @t15 @t15 @t15)) % 47.01/47.28 (define @t4378 () (tptp.hAPP @t4377 @t51)) % 47.01/47.28 (define @t4379 () (= (tptp.hAPP @t4378 @t161) @t3447)) % 47.01/47.28 (define @t4380 () (tptp.hBOOL (tptp.hAPP @t291 @t4350))) % 47.01/47.28 (define @t4381 () (tptp.hBOOL (tptp.hAPP @t309 @t4350))) % 47.01/47.28 (define @t4382 () (tptp.hBOOL (tptp.hAPP @t174 @t4350))) % 47.01/47.28 (define @t4383 () (@list @t1667 @t290 @t15)) % 47.01/47.28 (define @t4384 () (tptp.tc_fun @t4207 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4385 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4207) (tptp.hAPP (tptp.hAPP @t4206 @t289) @t289)) (tptp.c_Orderings_Obot__class_Obot @t4384))) % 47.01/47.28 (define @t4386 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4384)) % 47.01/47.28 (define @t4387 () (tptp.c_Relation_Orel__comp @t54 @t54 @t54)) % 47.01/47.28 (define @t4388 () (tptp.c_Orderings_Oord__class_Oless__eq @t4384)) % 47.01/47.28 (define @t4389 () (tptp.hAPP @t4377 @t387)) % 47.01/47.28 (define @t4390 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP @t4389 @t386)) @t387))) % 47.01/47.28 (define @t4391 () (tptp.c_Wellfounded_Omin__ext @t15 @t387)) % 47.01/47.28 (define @t4392 () (@var "V_Rep_2" $$unsorted)) % 47.01/47.28 (define @t4393 () (@var "V_Abs_2" $$unsorted)) % 47.01/47.28 (define @t4394 () (tptp.c_Typedef_Otype__definition @t15 @t71 @t4392 @t4393 @t51)) % 47.01/47.28 (define @t4395 () (@list @t51 @t4393 @t4392 @t71 @t15)) % 47.01/47.28 (define @t4396 () (tptp.hAPP @t4393 @t128)) % 47.01/47.28 (define @t4397 () (tptp.hBOOL (tptp.hAPP @t850 @t51))) % 47.01/47.28 (define @t4398 () (@list @t128 @t47 @t51 @t4393 @t4392 @t71 @t15)) % 47.01/47.28 (define @t4399 () (tptp.hAPP @t4392 @t47)) % 47.01/47.28 (define @t4400 () (@list @t47 @t51 @t4393 @t4392 @t71 @t15)) % 47.01/47.28 (define @t4401 () (tptp.hAPP @t3854 @t1667)) % 47.01/47.28 (define @t4402 () (tptp.c_Wellfounded_Owf @t15 @t387)) % 47.01/47.28 (define @t4403 () (tptp.hBOOL (tptp.hAPP @t4257 @t422))) % 47.01/47.28 (define @t4404 () (tptp.hBOOL (tptp.hAPP @t425 @t277))) % 47.01/47.28 (define @t4405 () (tptp.hBOOL (tptp.hAPP @t174 @t278))) % 47.01/47.28 (define @t4406 () (not @t788)) % 47.01/47.28 (define @t4407 () (tptp.hBOOL (tptp.hAPP @t927 @t277))) % 47.01/47.28 (define @t4408 () (tptp.hBOOL (tptp.hAPP @t927 @t278))) % 47.01/47.28 (define @t4409 () (tptp.c_Predicate_Opred__comp @t15 @t71 @t184 @t1667 @t543)) % 47.01/47.28 (define @t4410 () (tptp.hAPP (tptp.hAPP @t4165 @t1667) @t2)) % 47.01/47.28 (define @t4411 () (tptp.c_Wellfounded_Owf @t15 @t1667)) % 47.01/47.28 (define @t4412 () (@list @t2 @t71 @t1667 @t15)) % 47.01/47.28 (define @t4413 () (@var "V_rb_2" $$unsorted)) % 47.01/47.28 (define @t4414 () (@var "V_ra_2" $$unsorted)) % 47.01/47.28 (define @t4415 () (tptp.hAPP @t4389 @t387)) % 47.01/47.28 (define @t4416 () (@list @t1796 @t1667 @t15)) % 47.01/47.28 (define @t4417 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4418 () (tptp.c_Set_OCollect @t4047)) % 47.01/47.28 (define @t4419 () (tptp.hAPP @t1667 @t278)) % 47.01/47.28 (define @t4420 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3403)) % 47.01/47.28 (define @t4421 () (tptp.hAPP @t4420 @t1667)) % 47.01/47.28 (define @t4422 () (@list @t3425 @t1667 @t15)) % 47.01/47.28 (define @t4423 () (tptp.hAPP @t4014 (tptp.hAPP @t4175 @t290))) % 47.01/47.28 (define @t4424 () (tptp.hBOOL (tptp.hAPP @t4423 @t1667))) % 47.01/47.28 (define @t4425 () (tptp.hAPP @t4318 @t387)) % 47.01/47.28 (define @t4426 () (tptp.hAPP @t4425 @t386)) % 47.01/47.28 (define @t4427 () (tptp.c_Wellfounded_Owf @t15 @t4426)) % 47.01/47.28 (define @t4428 () (tptp.c_Relation_OImage @t15 @t15 @t387)) % 47.01/47.28 (define @t4429 () (tptp.c_Wellfounded_Owf @t15 @t386)) % 47.01/47.28 (define @t4430 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3403 @t3403) @t35)) % 47.01/47.28 (define @t4431 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3403 @t3403) @t35)) % 47.01/47.28 (define @t4432 () (tptp.hAPP @t3446 @t386)) % 47.01/47.28 (define @t4433 () (tptp.hAPP @t3446 @t387)) % 47.01/47.28 (define @t4434 () (tptp.c_List_Olenlex @t15 @t1667)) % 47.01/47.28 (define @t4435 () (tptp.tc_List_Olist @t15)) % 47.01/47.28 (define @t4436 () (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t422))) % 47.01/47.28 (define @t4437 () (tptp.hBOOL (tptp.hAPP @t4436 @t387))) % 47.01/47.28 (define @t4438 () (tptp.hBOOL (tptp.hAPP @t425 @t236))) % 47.01/47.28 (define @t4439 () (tptp.hBOOL (tptp.hAPP @t174 @t508))) % 47.01/47.28 (define @t4440 () (not (= @t236 @t289))) % 47.01/47.28 (define @t4441 () (tptp.hBOOL (tptp.hAPP @t927 @t236))) % 47.01/47.28 (define @t4442 () (tptp.hBOOL (tptp.hAPP @t927 @t508))) % 47.01/47.28 (define @t4443 () (@list @t387 @t236 @t508 @t15)) % 47.01/47.28 (define @t4444 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1866 tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t4445 () (tptp.c_List_Olex @t15 @t1667)) % 47.01/47.28 (define @t4446 () (tptp.c_List_Olexn @t15 @t1667)) % 47.01/47.28 (define @t4447 () (tptp.hAPP @t4446 @t260)) % 47.01/47.28 (define @t4448 () (@list @t260 @t1667 @t15)) % 47.01/47.28 (define @t4449 () (tptp.tc_prod @t4435 @t4435)) % 47.01/47.28 (define @t4450 () (tptp.tc_fun @t4449 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4451 () (tptp.hAPP @t2457 @t35)) % 47.01/47.28 (define @t4452 () (tptp.c_HOL_OEx @t71)) % 47.01/47.28 (define @t4453 () (tptp.hAPP @t3871 @t4452)) % 47.01/47.28 (define @t4454 () (tptp.hAPP (tptp.c_Set_OCollect @t3429) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t15 tptp.tc_HOL_Obool) @t35))) % 47.01/47.28 (define @t4455 () (tptp.c_Relation_ORange @t71 @t15)) % 47.01/47.28 (define @t4456 () (tptp.hAPP (tptp.c_Relation_ORange @t15 @t71) @t1667)) % 47.01/47.28 (define @t4457 () (@list @t1667 @t294 @t290 @t71 @t15)) % 47.01/47.28 (define @t4458 () (tptp.c_Relation_ORange @t15 @t15)) % 47.01/47.28 (define @t4459 () (tptp.hAPP @t4455 @t48)) % 47.01/47.28 (define @t4460 () (tptp.hAPP @t4455 @t51)) % 47.01/47.28 (define @t4461 () (tptp.c_Orderings_Obot__class_Obot @t3430)) % 47.01/47.28 (define @t4462 () (@list @t15 @t71)) % 47.01/47.28 (define @t4463 () (tptp.hAPP @t4455 @t1667)) % 47.01/47.28 (define @t4464 () (@list @t1667 @t15 @t71)) % 47.01/47.28 (define @t4465 () (tptp.hBOOL (tptp.hAPP @t2511 @t1667))) % 47.01/47.28 (define @t4466 () (@list @t1667 @t71 @t15)) % 47.01/47.28 (define @t4467 () (@list @t1667 @t71 @t290 @t15)) % 47.01/47.28 (define @t4468 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3430)) % 47.01/47.28 (define @t4469 () (tptp.c_Predicate_ORangeP @t15 @t71 @t1667)) % 47.01/47.28 (define @t4470 () (@list @t71 @t15 @t294 @t290 @t1667)) % 47.01/47.28 (define @t4471 () (tptp.c_Nitpick_Ofrac @t76)) % 47.01/47.28 (define @t4472 () (tptp.c_Relation_ODomain @t15 @t15)) % 47.01/47.28 (define @t4473 () (tptp.hAPP @t4472 @t1667)) % 47.01/47.28 (define @t4474 () (tptp.c_Relation_ODomain @t15 @t71)) % 47.01/47.28 (define @t4475 () (tptp.hAPP @t4474 @t1667)) % 47.01/47.28 (define @t4476 () (tptp.hBOOL (tptp.hAPP @t291 @t4475))) % 47.01/47.28 (define @t4477 () (tptp.hAPP @t3426 @t1667)) % 47.01/47.28 (define @t4478 () (tptp.hBOOL (tptp.hAPP @t4477 @t543))) % 47.01/47.28 (define @t4479 () (@list @t543 @t1667 @t71 @t15)) % 47.01/47.28 (define @t4480 () (tptp.hAPP @t4474 @t48)) % 47.01/47.28 (define @t4481 () (tptp.hAPP @t4474 @t51)) % 47.01/47.28 (define @t4482 () (@list @t387 @t71 @t15)) % 47.01/47.28 (define @t4483 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 (tptp.hAPP @t3881 @t783)) @t1667))) % 47.01/47.28 (define @t4484 () (tptp.c_Set_Oinsert @t2508)) % 47.01/47.28 (define @t4485 () (tptp.hAPP @t4484 @t3882)) % 47.01/47.28 (define @t4486 () (tptp.c_Groups_Ominus__class_Ominus @t2509)) % 47.01/47.28 (define @t4487 () (tptp.hAPP @t4458 @t1667)) % 47.01/47.28 (define @t4488 () (tptp.hAPP @t2533 @t51)) % 47.01/47.28 (define @t4489 () (tptp.c_Product__Type_OSigma @t15 @t71)) % 47.01/47.28 (define @t4490 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t3853 @t184) @t3849) @t2)) % 47.01/47.28 (define @t4491 () (tptp.c_Predicate_ODomainP @t15 @t71 @t1667)) % 47.01/47.28 (define @t4492 () (tptp.hAPP @t4489 @t51)) % 47.01/47.28 (define @t4493 () (tptp.hAPP @t4492 @t48)) % 47.01/47.28 (define @t4494 () (tptp.hBOOL (tptp.hAPP @t3883 @t4493))) % 47.01/47.28 (define @t4495 () (tptp.hAPP @t2605 @t161)) % 47.01/47.28 (define @t4496 () (tptp.c_Product__Type_OSigma @t71 @t15)) % 47.01/47.28 (define @t4497 () (tptp.hAPP (tptp.hAPP @t4496 @t48) @t4495)) % 47.01/47.28 (define @t4498 () (tptp.hAPP @t4496 @t51)) % 47.01/47.28 (define @t4499 () (tptp.hAPP @t4498 @t4495)) % 47.01/47.28 (define @t4500 () (tptp.hBOOL (tptp.hAPP @t323 @t161))) % 47.01/47.28 (define @t4501 () (@list @t48 @t51 @t71 @t161 @t47 @t15)) % 47.01/47.28 (define @t4502 () (tptp.hAPP @t2602 @t48)) % 47.01/47.28 (define @t4503 () (tptp.hAPP @t4492 @t4502)) % 47.01/47.28 (define @t4504 () (tptp.c_Finite__Set_Ocard @t2508)) % 47.01/47.28 (define @t4505 () (tptp.c_COMBK @t828 @t71)) % 47.01/47.28 (define @t4506 () (tptp.c_Product__Type_OSigma @t71 @t184)) % 47.01/47.28 (define @t4507 () (tptp.hAPP (tptp.hAPP @t4506 @t51) (tptp.hAPP @t4505 @t48))) % 47.01/47.28 (define @t4508 () (tptp.hAPP @t4489 @t2496)) % 47.01/47.28 (define @t4509 () (tptp.hAPP @t2602 @t51)) % 47.01/47.28 (define @t4510 () (tptp.c_Groups_Ouminus__class_Ouminus @t2509)) % 47.01/47.28 (define @t4511 () (tptp.hAPP @t2602 @t2512)) % 47.01/47.28 (define @t4512 () (tptp.hAPP (tptp.hAPP @t4489 @t2640) @t161)) % 47.01/47.28 (define @t4513 () (tptp.hAPP @t4489 @t2607)) % 47.01/47.28 (define @t4514 () (tptp.hAPP @t4513 @t161)) % 47.01/47.28 (define @t4515 () (@list @t161 @t2640 @t2607 @t71 @t15)) % 47.01/47.28 (define @t4516 () (tptp.hAPP @t2602 @t161)) % 47.01/47.28 (define @t4517 () (tptp.hAPP @t4489 @t48)) % 47.01/47.28 (define @t4518 () (tptp.hAPP @t4517 @t4516)) % 47.01/47.28 (define @t4519 () (tptp.hAPP @t4492 @t4516)) % 47.01/47.28 (define @t4520 () (@list @t161 @t48 @t51 @t71 @t15)) % 47.01/47.28 (define @t4521 () (tptp.hAPP @t4513 @t48)) % 47.01/47.28 (define @t4522 () (tptp.hAPP @t4513 @t51)) % 47.01/47.28 (define @t4523 () (tptp.c_COMBS @t15 @t88 @t88)) % 47.01/47.28 (define @t4524 () (tptp.c_COMBK @t828 @t15)) % 47.01/47.28 (define @t4525 () (tptp.c_Product__Type_OSigma @t15 @t184)) % 47.01/47.28 (define @t4526 () (tptp.hAPP @t4525 @t51)) % 47.01/47.28 (define @t4527 () (tptp.hBOOL (tptp.hAPP @t4477 @t4503))) % 47.01/47.28 (define @t4528 () (tptp.hAPP @t4498 (tptp.hAPP @t2605 @t48))) % 47.01/47.28 (define @t4529 () (tptp.hAPP (tptp.c_COMBC @t15 @t71 @t2508) @t3849)) % 47.01/47.28 (define @t4530 () (tptp.hBOOL (tptp.hAPP @t2511 @t4503))) % 47.01/47.28 (define @t4531 () (tptp.c_COMBK @t54 @t15)) % 47.01/47.28 (define @t4532 () (tptp.c_Product__Type_OSigma @t15 @t15)) % 47.01/47.28 (define @t4533 () (tptp.hAPP (tptp.hAPP @t4532 @t51) (tptp.hAPP @t4531 @t51))) % 47.01/47.28 (define @t4534 () (tptp.hBOOL (tptp.hAPP @t4315 @t4533))) % 47.01/47.28 (define @t4535 () (tptp.hAPP (tptp.hAPP @t510 @t931) @t51)) % 47.01/47.28 (define @t4536 () (tptp.hAPP (tptp.hAPP @t510 @t616) @t51)) % 47.01/47.28 (define @t4537 () (@list @t48 @t51 @t294 @t290 @t71 @t15)) % 47.01/47.28 (define @t4538 () (tptp.hAPP @t223 @t51)) % 47.01/47.28 (define @t4539 () (tptp.c_Orderings_Oord__class_Oless__eq @t3430)) % 47.01/47.28 (define @t4540 () (tptp.hAPP @t4489 @t2387)) % 47.01/47.28 (define @t4541 () (tptp.hAPP @t3832 @t2392)) % 47.01/47.28 (define @t4542 () (@list @t34 @t35 @t71 @t15)) % 47.01/47.28 (define @t4543 () (tptp.hAPP (tptp.c_Set_Oimage @t3429 @t71 @t4141) @t4528)) % 47.01/47.28 (define @t4544 () (tptp.hAPP (tptp.c_Set_Oimage @t2508 @t71 @t4127) @t4503)) % 47.01/47.28 (define @t4545 () (tptp.hAPP @t4489 @t319)) % 47.01/47.28 (define @t4546 () (tptp.hAPP @t2602 (tptp.hAPP @t2731 @t48))) % 47.01/47.28 (define @t4547 () (@var "V_E_2" $$unsorted)) % 47.01/47.28 (define @t4548 () (tptp.tc_fun @t3830 @t2509)) % 47.01/47.28 (define @t4549 () (tptp.tc_fun @t3973 @t2509)) % 47.01/47.28 (define @t4550 () (tptp.tc_fun @t3973 @t3830)) % 47.01/47.28 (define @t4551 () (tptp.tc_fun @t3973 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4552 () (tptp.tc_prod @t184 @t3973)) % 47.01/47.28 (define @t4553 () (tptp.tc_fun @t2509 @t2509)) % 47.01/47.28 (define @t4554 () (tptp.tc_fun @t71 @t4553)) % 47.01/47.28 (define @t4555 () (tptp.tc_fun @t71 @t2509)) % 47.01/47.28 (define @t4556 () (tptp.c_Groups_Otimes__class_Otimes @t184)) % 47.01/47.28 (define @t4557 () (tptp.tc_fun @t184 @t184)) % 47.01/47.28 (define @t4558 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2425 @t2425) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4557 (tptp.tc_fun @t2425 @t2425) @t15) (tptp.c_COMBB @t184 @t184 @t71)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t184 @t4557 @t15) @t4556) @t2))) @t1)) % 47.01/47.28 (define @t4559 () (tptp.tc_fun @t2425 @t88)) % 47.01/47.28 (define @t4560 () (tptp.tc_fun @t15 @t2425)) % 47.01/47.28 (define @t4561 () (tptp.tc_fun @t71 @t517)) % 47.01/47.28 (define @t4562 () (tptp.tc_fun @t15 @t4561)) % 47.01/47.28 (define @t4563 () (tptp.tc_fun @t15 @t509)) % 47.01/47.28 (define @t4564 () (tptp.c_Groups_Oone__class_Oone @t184)) % 47.01/47.28 (define @t4565 () (tptp.c_Finite__Set_Ofold__image @t184 @t71 @t4556)) % 47.01/47.28 (define @t4566 () (tptp.c_Finite__Set_Ofold__image @t184 @t15 @t4556)) % 47.01/47.28 (define @t4567 () (tptp.class_Groups_Ocomm__monoid__mult @t184)) % 47.01/47.28 (define @t4568 () (tptp.c_Fun_Oid @t15)) % 47.01/47.28 (define @t4569 () (tptp.c_Set_Oimage @t15 @t15 @t4568)) % 47.01/47.28 (define @t4570 () (tptp.c_Fun_Oid @t2508)) % 47.01/47.28 (define @t4571 () (tptp.c_Fun_Oid @t71)) % 47.01/47.28 (define @t4572 () (@var "V_x_1" $$unsorted)) % 47.01/47.28 (define @t4573 () (tptp.c_Fun_Oid @t76)) % 47.01/47.28 (define @t4574 () (@list @t48 @t2 @t15 @t71)) % 47.01/47.28 (define @t4575 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t71 @t184)) % 47.01/47.28 (define @t4576 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t15 @t184)) % 47.01/47.28 (define @t4577 () (@list @t2 @t48 @t71 @t51 @t15 @t184)) % 47.01/47.28 (define @t4578 () (tptp.hAPP @t3849 @t3)) % 47.01/47.28 (define @t4579 () (tptp.hAPP @t4578 @t783)) % 47.01/47.28 (define @t4580 () (tptp.hAPP @t311 @t783)) % 47.01/47.28 (define @t4581 () (tptp.hAPP @t3850 @t281)) % 47.01/47.28 (define @t4582 () (tptp.tc_prod @t71 @t3973)) % 47.01/47.28 (define @t4583 () (tptp.c_Set_Oimage @t4582 @t4359 (tptp.c_Product__Type_Omap__pair @t71 @t15 @t3973 @t184 @t2 @t1))) % 47.01/47.28 (define @t4584 () (tptp.c_Orderings_Otop__class_Otop @t828)) % 47.01/47.28 (define @t4585 () (tptp.c_Set_Oimage @t3973 @t184 @t1)) % 47.01/47.28 (define @t4586 () (tptp.c_Product__Type_Omap__pair @t15 @t184 @t71 @t3973 @t2 @t1)) % 47.01/47.28 (define @t4587 () (tptp.hAPP @t1 @t294)) % 47.01/47.28 (define @t4588 () (tptp.c_Product__Type_OPair @t184 @t3973)) % 47.01/47.28 (define @t4589 () (tptp.c_member @t4552)) % 47.01/47.28 (define @t4590 () (tptp.c_Product__Type_Omap__pair @t184 @t15 @t3973 @t71 @t2 @t1)) % 47.01/47.28 (define @t4591 () (tptp.c_Product__Type_Omap__pair @t15 @t15 @t71 @t71 @t237 (tptp.c_COMBI @t71))) % 47.01/47.28 (define @t4592 () (tptp.tc_fun @t3973 @t4552)) % 47.01/47.28 (define @t4593 () (tptp.tc_fun @t71 @t4552)) % 47.01/47.28 (define @t4594 () (tptp.tc_fun @t71 @t3973)) % 47.01/47.28 (define @t4595 () (@var "V_B_H_2" $$unsorted)) % 47.01/47.28 (define @t4596 () (= @t87 @t916)) % 47.01/47.28 (define @t4597 () (forall @t7 (=> @t176 @t4016))) % 47.01/47.28 (define @t4598 () (tptp.c_Relation_Orefl__on @t15 @t51 @t1667)) % 47.01/47.28 (define @t4599 () (tptp.hAPP @t4161 (tptp.hAPP @t4160 @t1667))) % 47.01/47.28 (define @t4600 () (tptp.c_Wellfounded_OwfP @t15 @t1667)) % 47.01/47.28 (define @t4601 () (tptp.c_Relation_Orefl__on @t15 @t48 @t543)) % 47.01/47.28 (define @t4602 () (@list @t543 @t48 @t1667 @t51 @t15)) % 47.01/47.28 (define @t4603 () (tptp.hAPP @t4421 @t543)) % 47.01/47.28 (define @t4604 () (tptp.c_Predicate_Oreflp @t15 @t1667)) % 47.01/47.28 (define @t4605 () (@list @t51 @t1667 @t15)) % 47.01/47.28 (define @t4606 () (tptp.c_Wellfounded_Oacyclic @t15 @t4599)) % 47.01/47.28 (define @t4607 () (tptp.c_Wellfounded_Oacyclic @t15 @t1667)) % 47.01/47.28 (define @t4608 () (tptp.hAPP @t1667 @t47)) % 47.01/47.28 (define @t4609 () (@list @t1667 @t543 @t15)) % 47.01/47.28 (define @t4610 () (tptp.hBOOL @t4142)) % 47.01/47.28 (define @t4611 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 47.01/47.28 (define @t4612 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4349 @t128) tptp.c_Int_OInteg))) % 47.01/47.28 (define @t4613 () (@list @t35 @t128)) % 47.01/47.28 (define @t4614 () (@list @t128)) % 47.01/47.28 (define @t4615 () (tptp.hAPP @t4014 @t3)) % 47.01/47.28 (define @t4616 () (tptp.hBOOL (tptp.hAPP @t4615 @t1667))) % 47.01/47.28 (define @t4617 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t783)) % 47.01/47.28 (define @t4618 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4349 @t783) tptp.c_Int_OInteg))) % 47.01/47.28 (define @t4619 () (@list @t47 @t35)) % 47.01/47.28 (define @t4620 () (tptp.hBOOL (tptp.hAPP @t174 @t289))) % 47.01/47.28 (define @t4621 () (tptp.hBOOL @t2606)) % 47.01/47.28 (define @t4622 () (tptp.hAPP @t1667 @t900)) % 47.01/47.28 (define @t4623 () (tptp.hAPP @t1667 @t948)) % 47.01/47.28 (define @t4624 () (tptp.hAPP @t3928 @t202)) % 47.01/47.28 (define @t4625 () (tptp.hAPP (tptp.c_member @t21) @t3)) % 47.01/47.28 (define @t4626 () (tptp.hBOOL (tptp.hAPP @t4625 @t18))) % 47.01/47.28 (define @t4627 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t429 @t3)) % 47.01/47.28 (define @t4628 () (tptp.c_Fun_Ocomp @t71 @t71 @t15 @t4571)) % 47.01/47.28 (define @t4629 () (tptp.hAPP @t290 (tptp.hAPP @t294 @t3462))) % 47.01/47.28 (define @t4630 () (= @t4629 (tptp.hAPP @t281 @t3462))) % 47.01/47.28 (define @t4631 () (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t71 @t15 @t290) @t294)) % 47.01/47.28 (define @t4632 () (@list @t3462 @t281 @t294 @t290 @t15 @t71 @t184)) % 47.01/47.28 (define @t4633 () (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t71 @t3973 @t2) @t1)) % 47.01/47.28 (define @t4634 () (tptp.c_Hilbert__Choice_OEps @t15 @t35)) % 47.01/47.28 (define @t4635 () (tptp.hBOOL (tptp.hAPP @t35 @t4634))) % 47.01/47.28 (define @t4636 () (@list @t15 @t35)) % 47.01/47.28 (define @t4637 () (tptp.hAPP @t679 @t47)) % 47.01/47.28 (define @t4638 () (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t15 @t184 @t2) @t1)) % 47.01/47.28 (define @t4639 () (tptp.hAPP @t4638 @t47)) % 47.01/47.28 (define @t4640 () (tptp.c_Fun_Ocomp @t184 @t71 @t15 @t2)) % 47.01/47.28 (define @t4641 () (tptp.hAPP @t4640 @t1)) % 47.01/47.28 (define @t4642 () (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t71 @t15 @t1) @t2)) % 47.01/47.28 (define @t4643 () (@var "V_x_H_2" $$unsorted)) % 47.01/47.28 (define @t4644 () (@var "V_g_H_2" $$unsorted)) % 47.01/47.28 (define @t4645 () (@var "V_f_H_2" $$unsorted)) % 47.01/47.28 (define @t4646 () (= @t4631 (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t71 @t15 @t281) @t345))) % 47.01/47.28 (define @t4647 () (@var "B_v" $$unsorted)) % 47.01/47.28 (define @t4648 () (@var "B_P" $$unsorted)) % 47.01/47.28 (define @t4649 () (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t69)) % 47.01/47.28 (define @t4650 () (= (tptp.hAPP @t4649 @t69) @t69)) % 47.01/47.28 (define @t4651 () (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t71 @t184 @t2) @t1)) % 47.01/47.28 (define @t4652 () (tptp.c_Fun_Ocomp @t15 @t184 @t71 @t1)) % 47.01/47.28 (define @t4653 () (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t184 @t15 @t4645) @t2)) % 47.01/47.28 (define @t4654 () (tptp.c_Fun_Ocomp @t71 @t184 @t15 @t1)) % 47.01/47.28 (define @t4655 () (tptp.hAPP @t4654 @t2)) % 47.01/47.28 (define @t4656 () (@var "V_prod_2" $$unsorted)) % 47.01/47.28 (define @t4657 () (@var "T_g" $$unsorted)) % 47.01/47.28 (define @t4658 () (@var "V_g2_2" $$unsorted)) % 47.01/47.28 (define @t4659 () (@var "V_g1_2" $$unsorted)) % 47.01/47.28 (define @t4660 () (tptp.tc_prod @t3972 @t4657)) % 47.01/47.28 (define @t4661 () (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t184 @t15 @t899) @t2)) % 47.01/47.28 (define @t4662 () (tptp.hAPP @t932 @t4661)) % 47.01/47.28 (define @t4663 () (@list @t899 @t48 @t2 @t71 @t15 @t184)) % 47.01/47.28 (define @t4664 () (tptp.hAPP @t4575 @t899)) % 47.01/47.28 (define @t4665 () (= (tptp.hAPP @t4664 @t48) (tptp.hAPP (tptp.hAPP @t4576 @t1) @t51))) % 47.01/47.28 (define @t4666 () (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t71 @t15 @t1) @t899)) % 47.01/47.28 (define @t4667 () (tptp.hAPP @t1185 @t51)) % 47.01/47.28 (define @t4668 () (tptp.c_Fun_Oinj__on @t15 @t15 @t899 @t51)) % 47.01/47.28 (define @t4669 () (@list @t1 @t899 @t51 @t15 @t71)) % 47.01/47.28 (define @t4670 () (tptp.hAPP (tptp.c_Set_Oimage @t184 @t15 @t1) @t51)) % 47.01/47.28 (define @t4671 () (tptp.hBOOL (tptp.hAPP @t312 (tptp.hAPP @t220 @t4670)))) % 47.01/47.28 (define @t4672 () (tptp.c_Fun_Oinj__on @t184 @t15 @t1 @t51)) % 47.01/47.28 (define @t4673 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t4670)) % 47.01/47.28 (define @t4674 () (@list @t47 @t51 @t1 @t184 @t2 @t71 @t15)) % 47.01/47.28 (define @t4675 () (tptp.hAPP @t4565 @t1)) % 47.01/47.28 (define @t4676 () (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t1097) @t69)) % 47.01/47.28 (define @t4677 () (tptp.c_Finite__Set_Ofolding @t15 @t71 @t2 @t1062)) % 47.01/47.28 (define @t4678 () (@list @t47 @t51 @t1062 @t2 @t71 @t15)) % 47.01/47.28 (define @t4679 () (tptp.c_Finite__Set_Ofolding__image @t15 @t71 @t2 @t202 @t1062)) % 47.01/47.28 (define @t4680 () (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t1099)) % 47.01/47.28 (define @t4681 () (tptp.hAPP @t4680 @t1117)) % 47.01/47.28 (define @t4682 () (= @t1120 @t4681)) % 47.01/47.28 (define @t4683 () (@list @t48 @t51 @t1062 @t2 @t71 @t15)) % 47.01/47.28 (define @t4684 () (tptp.hAPP @t4649 @t411)) % 47.01/47.28 (define @t4685 () (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t411) @t69)) % 47.01/47.28 (define @t4686 () (tptp.c_Fun_Ocomp @t71 @t71 @t184 @t411)) % 47.01/47.28 (define @t4687 () (tptp.c_Fun_Ocomp @t71 @t71 @t184 @t69)) % 47.01/47.28 (define @t4688 () (tptp.hAPP @t4687 @t1)) % 47.01/47.28 (define @t4689 () (tptp.tc_prod @t3973 @t184)) % 47.01/47.28 (define @t4690 () (tptp.hAPP (tptp.hAPP @t887 @t2) @t1)) % 47.01/47.28 (define @t4691 () (tptp.hAPP @t4680 @t69)) % 47.01/47.28 (define @t4692 () (tptp.c_Fun_Ocomp @t71 @t71 @t184 @t1099)) % 47.01/47.28 (define @t4693 () (tptp.hAPP @t4692 @t1)) % 47.01/47.28 (define @t4694 () (tptp.c_Fun_Ocomp @t71 @t71 @t184 @t1117)) % 47.01/47.28 (define @t4695 () (= @t1128 @t4691)) % 47.01/47.28 (define @t4696 () (tptp.c_Hoare__Mirabelle_Opeek__and @t15 @t35 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t294))) % 47.01/47.28 (define @t4697 () (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Hoare__Mirabelle_Opeek__and @t15 @t35 @t294)) @t281)) % 47.01/47.28 (define @t4698 () (= @t3 @t783)) % 47.01/47.28 (define @t4699 () (tptp.c_Finite__Set_Ofolding__idem @t15 @t71 @t2 @t1062)) % 47.01/47.28 (define @t4700 () (@list @t1164)) % 47.01/47.28 (define @t4701 () (tptp.hAPP @t4011 @t783)) % 47.01/47.28 (define @t4702 () (tptp.c_Wellfounded_Oacc @t15 @t387)) % 47.01/47.28 (define @t4703 () (tptp.hAPP @t4011 @t2441)) % 47.01/47.28 (define @t4704 () (@list @t387 @t47 @t15)) % 47.01/47.28 (define @t4705 () (@var "V_loc_2" $$unsorted)) % 47.01/47.28 (define @t4706 () (tptp.c_Com_Ocom_OLocal @t4705 @t568 @t11)) % 47.01/47.28 (define @t4707 () (@list @t11 @t568 @t4705)) % 47.01/47.28 (define @t4708 () (@var "V_loc_H_2" $$unsorted)) % 47.01/47.28 (define @t4709 () (tptp.c_Com_Ocom_OLocal @t4708 @t567 @t10)) % 47.01/47.28 (define @t4710 () (@list @t10 @t567 @t4708)) % 47.01/47.28 (define @t4711 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t71 @t184 @t3973 @t15) @t2) @t1) @t47)) % 47.01/47.28 (define @t4712 () (@list @t47 @t1 @t2 @t15 @t3973 @t184 @t71)) % 47.01/47.28 (define @t4713 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 47.01/47.28 (define @t4714 () (tptp.hAPP @t4284 (tptp.hAPP @t4343 @t260))) % 47.01/47.28 (define @t4715 () (tptp.c_Transitive__Closure_Otrancl @t15 @t1667)) % 47.01/47.28 (define @t4716 () (tptp.tc_fun @t4657 @t71)) % 47.01/47.28 (define @t4717 () (tptp.tc_fun @t3973 @t71)) % 47.01/47.28 (define @t4718 () (tptp.tc_fun @t184 @t4717)) % 47.01/47.28 (define @t4719 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t4015 @t4715))))) % 47.01/47.28 (define @t4720 () (tptp.hBOOL (tptp.hAPP @t4177 @t4715))) % 47.01/47.28 (define @t4721 () (tptp.hAPP @t3446 @t4715)) % 47.01/47.28 (define @t4722 () (tptp.hAPP @t4014 @t1796)) % 47.01/47.28 (define @t4723 () (tptp.hBOOL (tptp.hAPP @t4722 @t4715))) % 47.01/47.28 (define @t4724 () (tptp.hBOOL (tptp.hAPP @t4722 @t1667))) % 47.01/47.28 (define @t4725 () (@list @t1667 @t1796 @t15)) % 47.01/47.28 (define @t4726 () (tptp.c_Transitive__Closure_Otrancl @t15 @t387)) % 47.01/47.28 (define @t4727 () (tptp.hAPP @t4014 (tptp.hAPP @t4175 @t281))) % 47.01/47.28 (define @t4728 () (tptp.hAPP @t4011 @t294)) % 47.01/47.28 (define @t4729 () (tptp.hAPP @t4014 (tptp.hAPP @t4728 @t281))) % 47.01/47.28 (define @t4730 () (tptp.hBOOL (tptp.hAPP @t4727 @t4715))) % 47.01/47.28 (define @t4731 () (=> (tptp.hBOOL (tptp.hAPP @t4729 @t4715)) @t4730)) % 47.01/47.28 (define @t4732 () (@list @t281 @t1667 @t294 @t290 @t15)) % 47.01/47.28 (define @t4733 () (tptp.hBOOL (tptp.hAPP @t4729 @t1667))) % 47.01/47.28 (define @t4734 () (=> @t4733 @t4730)) % 47.01/47.28 (define @t4735 () (tptp.hAPP (tptp.hAPP @t3809 @t469) @t3808)) % 47.01/47.28 (define @t4736 () (tptp.hAPP (tptp.c_Random_Oiterate @t71 @t15 @t469 @t2) @t47)) % 47.01/47.28 (define @t4737 () (= @t469 @t3794)) % 47.01/47.28 (define @t4738 () (not @t4737)) % 47.01/47.28 (define @t4739 () (@list @t47 @t2 @t15 @t71 @t469)) % 47.01/47.28 (define @t4740 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t1667)) % 47.01/47.28 (define @t4741 () (tptp.hAPP @t4318 @t4715)) % 47.01/47.28 (define @t4742 () (tptp.hAPP @t4215 @t47)) % 47.01/47.28 (define @t4743 () (tptp.hAPP (tptp.hAPP @t4312 @t4742) @t1667)) % 47.01/47.28 (define @t4744 () (@list @t1667 @t47 @t128 @t15)) % 47.01/47.28 (define @t4745 () (tptp.c_Relation_OId @t15)) % 47.01/47.28 (define @t4746 () (tptp.hAPP @t4319 @t4745)) % 47.01/47.28 (define @t4747 () (@list @t128 @t47 @t1667 @t15)) % 47.01/47.28 (define @t4748 () (tptp.hBOOL (tptp.hAPP @t4177 @t4740))) % 47.01/47.28 (define @t4749 () (tptp.hAPP @t4377 @t1667)) % 47.01/47.28 (define @t4750 () (tptp.hAPP @t4749 @t4740)) % 47.01/47.28 (define @t4751 () (tptp.hAPP (tptp.hAPP @t4377 @t4740) @t1667)) % 47.01/47.28 (define @t4752 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t387)) % 47.01/47.28 (define @t4753 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3403) @t1667) @t4745)) % 47.01/47.28 (define @t4754 () (tptp.hBOOL (tptp.hAPP @t4727 @t4740))) % 47.01/47.28 (define @t4755 () (tptp.hBOOL (tptp.hAPP @t4729 @t4740))) % 47.01/47.28 (define @t4756 () (=> @t4755 @t4754)) % 47.01/47.28 (define @t4757 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t4426)) % 47.01/47.28 (define @t4758 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t386)) % 47.01/47.28 (define @t4759 () (tptp.hAPP @t4318 @t4752)) % 47.01/47.28 (define @t4760 () (tptp.hAPP @t4759 @t4758)) % 47.01/47.28 (define @t4761 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t543)) % 47.01/47.28 (define @t4762 () (tptp.hAPP @t3446 @t4740)) % 47.01/47.28 (define @t4763 () (tptp.hBOOL (tptp.hAPP @t4762 @t4761))) % 47.01/47.28 (define @t4764 () (tptp.hAPP @t4014 @t47)) % 47.01/47.28 (define @t4765 () (tptp.hBOOL (tptp.hAPP @t4118 @t4726))) % 47.01/47.28 (define @t4766 () (tptp.hBOOL (tptp.hAPP @t4118 @t4752))) % 47.01/47.28 (define @t4767 () (@list @t387 @t128 @t47 @t15)) % 47.01/47.28 (define @t4768 () (=> @t4755 @t4730)) % 47.01/47.28 (define @t4769 () (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t202))) % 47.01/47.28 (define @t4770 () (tptp.hBOOL (tptp.hAPP @t4118 @t4740))) % 47.01/47.28 (define @t4771 () (@list @t202 @t1667 @t128 @t47 @t15)) % 47.01/47.28 (define @t4772 () (tptp.hAPP @t4014 (tptp.hAPP @t4728 @t290))) % 47.01/47.28 (define @t4773 () (tptp.hBOOL (tptp.hAPP @t4772 @t4740))) % 47.01/47.28 (define @t4774 () (not @t4770)) % 47.01/47.28 (define @t4775 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t4776 () (tptp.c_Random_Olog @t116 @t559)) % 47.01/47.28 (define @t4777 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t4778 () (tptp.hAPP @t4777 @t559)) % 47.01/47.28 (define @t4779 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t4780 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4779 @t116) @t3808)) (tptp.hBOOL (tptp.hAPP @t4778 @t116)))) % 47.01/47.28 (define @t4781 () (tptp.c_Random_Ominus__shift @t1718 @t558 @t666)) % 47.01/47.28 (define @t4782 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4777 @t558) @t666))) % 47.01/47.28 (define @t4783 () (not @t4782)) % 47.01/47.28 (define @t4784 () (tptp.c_Random_Oinc__shift @t1790 @t558)) % 47.01/47.28 (define @t4785 () (= @t1790 @t558)) % 47.01/47.28 (define @t4786 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.28 (define @t4787 () (tptp.hAPP @t4777 @t3794)) % 47.01/47.28 (define @t4788 () (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t47))) % 47.01/47.28 (define @t4789 () (tptp.c_Relation_Oconverse @t15 @t15)) % 47.01/47.28 (define @t4790 () (tptp.hAPP @t4789 @t1667)) % 47.01/47.28 (define @t4791 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t4790)) % 47.01/47.28 (define @t4792 () (tptp.c_Relation_Oconverse @t71 @t15)) % 47.01/47.28 (define @t4793 () (tptp.hAPP @t4792 @t543)) % 47.01/47.28 (define @t4794 () (tptp.hAPP @t4792 @t1667)) % 47.01/47.28 (define @t4795 () (@list @t543 @t1667 @t15 @t71)) % 47.01/47.28 (define @t4796 () (tptp.hAPP @t4789 @t4715)) % 47.01/47.28 (define @t4797 () (tptp.c_Transitive__Closure_Otrancl @t15 @t4790)) % 47.01/47.28 (define @t4798 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3430 @t2509 @t184) @t4792) @t1667)) % 47.01/47.28 (define @t4799 () (@list @t1667 @t386 @t184 @t15 @t71)) % 47.01/47.28 (define @t4800 () (@list @t543 @t1667 @t184 @t15 @t71)) % 47.01/47.28 (define @t4801 () (tptp.hAPP (tptp.c_Relation_Oconverse @t15 @t71) @t1667)) % 47.01/47.28 (define @t4802 () (tptp.hAPP @t3876 (tptp.hAPP (tptp.hAPP @t3874 @t294) @t290))) % 47.01/47.28 (define @t4803 () (tptp.hBOOL (tptp.hAPP @t4802 @t1667))) % 47.01/47.28 (define @t4804 () (tptp.hBOOL (tptp.hAPP @t3883 @t4794))) % 47.01/47.28 (define @t4805 () (tptp.c_Wellfounded_Owf @t15 @t4790)) % 47.01/47.28 (define @t4806 () (tptp.hAPP (tptp.hAPP @t4377 @t4790) @t1667)) % 47.01/47.28 (define @t4807 () (= @t4806 @t1667)) % 47.01/47.28 (define @t4808 () (tptp.hAPP @t4474 @t4794)) % 47.01/47.28 (define @t4809 () (tptp.hBOOL (tptp.hAPP @t4118 @t4791))) % 47.01/47.28 (define @t4810 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 @t4742) @t4740))) % 47.01/47.28 (define @t4811 () (@list @t1667 @t128 @t47 @t15)) % 47.01/47.28 (define @t4812 () (tptp.hBOOL (tptp.hAPP @t4118 @t4796))) % 47.01/47.28 (define @t4813 () (tptp.hBOOL (tptp.hAPP @t4118 @t4797))) % 47.01/47.28 (define @t4814 () (tptp.tc_fun @t71 @t3909)) % 47.01/47.28 (define @t4815 () (tptp.c_Relation_Ototal__on @t15 @t51 @t1667)) % 47.01/47.28 (define @t4816 () (tptp.c_Nat_Ocompow @t3402 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t4817 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3403) @t2495) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3403 @t3403) @t4816) @t387))) % 47.01/47.28 (define @t4818 () (tptp.hBOOL (tptp.hAPP @t4722 @t4752))) % 47.01/47.28 (define @t4819 () (@list @t387 @t1796 @t15)) % 47.01/47.28 (define @t4820 () (tptp.hAPP (tptp.hAPP @t4816 @t260) @t387)) % 47.01/47.28 (define @t4821 () (tptp.hAPP (tptp.hAPP @t4377 @t4820) @t387)) % 47.01/47.28 (define @t4822 () (@list @t260 @t387 @t15)) % 47.01/47.28 (define @t4823 () (@list @t387 @t260 @t15)) % 47.01/47.28 (define @t4824 () (tptp.c_Nat_Ocompow @t15 @t15)) % 47.01/47.28 (define @t4825 () (tptp.hAPP @t4824 @t260)) % 47.01/47.28 (define @t4826 () (tptp.hAPP @t4825 @t2)) % 47.01/47.28 (define @t4827 () (tptp.hAPP (tptp.hAPP @t4824 @t496) @t2)) % 47.01/47.28 (define @t4828 () (tptp.hBOOL (tptp.hAPP @t4722 (tptp.hAPP (tptp.hAPP @t4816 @t429) @t387)))) % 47.01/47.28 (define @t4829 () (tptp.hAPP (tptp.hAPP @t4816 @t261) @t387)) % 47.01/47.28 (define @t4830 () (tptp.hAPP (tptp.hAPP @t4816 @t520) @t387)) % 47.01/47.28 (define @t4831 () (tptp.hBOOL (tptp.hAPP @t4769 @t4829))) % 47.01/47.28 (define @t4832 () (tptp.hAPP (tptp.hAPP @t4816 @t905) @t387)) % 47.01/47.28 (define @t4833 () (tptp.hAPP @t4014 (tptp.hAPP @t4701 @t202))) % 47.01/47.28 (define @t4834 () (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t783))) % 47.01/47.28 (define @t4835 () (tptp.hBOOL (tptp.hAPP @t4834 @t387))) % 47.01/47.28 (define @t4836 () (@list @t783 @t905)) % 47.01/47.28 (define @t4837 () (=> @t554 (not @t1903))) % 47.01/47.28 (define @t4838 () (tptp.hBOOL (tptp.hAPP @t4769 @t4820))) % 47.01/47.28 (define @t4839 () (@list @t387 @t260 @t202 @t47 @t15)) % 47.01/47.28 (define @t4840 () (not (tptp.hBOOL (tptp.hAPP @t4833 @t387)))) % 47.01/47.28 (define @t4841 () (tptp.c_Relation_Osingle__valued @t15 @t71 @t1667)) % 47.01/47.28 (define @t4842 () (tptp.hAPP @t4578 @t2441)) % 47.01/47.28 (define @t4843 () (@list @t202 @t128 @t47 @t1667 @t15)) % 47.01/47.28 (define @t4844 () (tptp.c_Transitive__Closure_Ortrancl @t15 @t35)) % 47.01/47.28 (define @t4845 () (tptp.hBOOL (tptp.hAPP @t4177 @t4844))) % 47.01/47.28 (define @t4846 () (tptp.hAPP @t4014 (tptp.hAPP @t4701 @t3))) % 47.01/47.28 (define @t4847 () (tptp.hBOOL (tptp.hAPP @t4177 (tptp.c_Transitive__Closure_Ortrancl @t15 (tptp.hAPP (tptp.hAPP @t4318 @t35) @t34))))) % 47.01/47.28 (define @t4848 () (@list @t34 @t35 @t294 @t290 @t15)) % 47.01/47.28 (define @t4849 () (tptp.hBOOL (tptp.hAPP @t4833 @t4820))) % 47.01/47.28 (define @t4850 () (tptp.hAPP @t4014 (tptp.hAPP @t4703 @t128))) % 47.01/47.28 (define @t4851 () (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t2441))) % 47.01/47.28 (define @t4852 () (tptp.hBOOL (tptp.hAPP @t502 @t948))) % 47.01/47.28 (define @t4853 () (tptp.c_Finite__Set_Ofold @t15 @t15 @t2771)) % 47.01/47.28 (define @t4854 () (tptp.hAPP (tptp.hAPP @t4853 @t47) @t51)) % 47.01/47.28 (define @t4855 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t71 @t15 @t2) @t202)) % 47.01/47.28 (define @t4856 () (tptp.c_Finite__Set_Ofold @t15 @t71 @t2)) % 47.01/47.28 (define @t4857 () (tptp.c_Finite__Set_Ofold @t15 @t15 @t70)) % 47.01/47.28 (define @t4858 () (tptp.hAPP @t4857 @t294)) % 47.01/47.28 (define @t4859 () (tptp.hAPP @t4858 @t51)) % 47.01/47.28 (define @t4860 () (@list @t290 @t294 @t51 @t15)) % 47.01/47.28 (define @t4861 () (tptp.c_Finite__Set_Ofold @t15 @t15 @t975)) % 47.01/47.28 (define @t4862 () (tptp.hAPP @t4861 @t294)) % 47.01/47.28 (define @t4863 () (tptp.hAPP @t4862 @t51)) % 47.01/47.28 (define @t4864 () (tptp.c_Finite__Set_Ofold @t15 @t15 @t2674)) % 47.01/47.28 (define @t4865 () (tptp.hAPP @t4864 @t294)) % 47.01/47.28 (define @t4866 () (tptp.hAPP @t4865 @t51)) % 47.01/47.28 (define @t4867 () (tptp.hAPP @t4853 @t294)) % 47.01/47.28 (define @t4868 () (tptp.hAPP @t4867 @t51)) % 47.01/47.28 (define @t4869 () (tptp.hAPP @t4856 @t202)) % 47.01/47.28 (define @t4870 () (tptp.hAPP @t4869 @t51)) % 47.01/47.28 (define @t4871 () (tptp.hAPP @t69 @t4870)) % 47.01/47.28 (define @t4872 () (tptp.hAPP @t4869 @t339)) % 47.01/47.28 (define @t4873 () (= @t4872 @t4871)) % 47.01/47.28 (define @t4874 () (@list @t47 @t202 @t51 @t2 @t71 @t15)) % 47.01/47.28 (define @t4875 () (tptp.hAPP (tptp.hAPP @t4856 @t1237) @t51)) % 47.01/47.28 (define @t4876 () (= @t4872 @t4875)) % 47.01/47.28 (define @t4877 () (tptp.c_Finite__Set_Ofold @t15 @t71 (tptp.hAPP (tptp.hAPP @t1397 @t266) @t2))) % 47.01/47.28 (define @t4878 () (tptp.c_Finite__Set_Ofold @t15 @t15 @t2)) % 47.01/47.28 (define @t4879 () (tptp.hAPP @t1168 @t294)) % 47.01/47.28 (define @t4880 () (@list @t294 @t290 @t51 @t15)) % 47.01/47.28 (define @t4881 () (tptp.hAPP @t1170 @t294)) % 47.01/47.28 (define @t4882 () (= (tptp.hAPP @t2353 @t319) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t15 @t15 @t1590) @t290) @t51))) % 47.01/47.28 (define @t4883 () (tptp.hAPP (tptp.hAPP @t4864 @t290) @t51)) % 47.01/47.28 (define @t4884 () (tptp.hAPP (tptp.hAPP @t4853 @t290) @t51)) % 47.01/47.28 (define @t4885 () (tptp.hAPP (tptp.hAPP @t4864 @t47) @t51)) % 47.01/47.28 (define @t4886 () (tptp.hAPP @t69 (tptp.hAPP @t4869 @t531))) % 47.01/47.28 (define @t4887 () (tptp.c_Finite__Set_Ofun__left__comm @t15 @t71 @t2)) % 47.01/47.28 (define @t4888 () (@list @t202 @t47 @t51 @t2 @t71 @t15)) % 47.01/47.28 (define @t4889 () (@var "B_y_H" $$unsorted)) % 47.01/47.28 (define @t4890 () (tptp.c_Finite__Set_Ofold @t15 @t71 (tptp.hAPP (tptp.hAPP @t1397 @t1050) @t2))) % 47.01/47.28 (define @t4891 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t71)) % 47.01/47.28 (define @t4892 () (tptp.hAPP @t4891 @t51)) % 47.01/47.28 (define @t4893 () (tptp.hAPP @t4892 @t2)) % 47.01/47.28 (define @t4894 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t88)) % 47.01/47.28 (define @t4895 () (tptp.hAPP @t4894 @t51)) % 47.01/47.28 (define @t4896 () (tptp.hAPP @t4895 @t48)) % 47.01/47.28 (define @t4897 () (tptp.hBOOL (tptp.hAPP @t4896 @t294))) % 47.01/47.28 (define @t4898 () (@list @t290 @t294 @t48 @t51 @t71 @t15)) % 47.01/47.28 (define @t4899 () (tptp.hBOOL (tptp.hAPP @t2684 @t51))) % 47.01/47.28 (define @t4900 () (tptp.hBOOL (tptp.hAPP @t309 @t2501))) % 47.01/47.28 (define @t4901 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t71 @t54)) % 47.01/47.28 (define @t4902 () (tptp.hAPP @t4901 @t51)) % 47.01/47.28 (define @t4903 () (tptp.hAPP @t4902 @t48)) % 47.01/47.28 (define @t4904 () (tptp.hBOOL (tptp.hAPP @t309 @t4903))) % 47.01/47.28 (define @t4905 () (@list @t290 @t48 @t51 @t71 @t294 @t15)) % 47.01/47.28 (define @t4906 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t2678)) % 47.01/47.28 (define @t4907 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4906 @t51) @t48) @t294) @t281))) % 47.01/47.28 (define @t4908 () (@list @t290 @t281 @t294 @t48 @t51 @t184 @t71 @t15)) % 47.01/47.28 (define @t4909 () (tptp.hAPP (tptp.hAPP @t4894 @t2607) @t51)) % 47.01/47.28 (define @t4910 () (tptp.hBOOL (tptp.hAPP @t1082 @t2606))) % 47.01/47.28 (define @t4911 () (tptp.hBOOL (tptp.hAPP @t174 @t2607))) % 47.01/47.28 (define @t4912 () (tptp.hAPP (tptp.hAPP @t2415 @t2834) @t48)) % 47.01/47.28 (define @t4913 () (tptp.hAPP @t4901 @t161)) % 47.01/47.28 (define @t4914 () (tptp.hAPP @t4913 @t48)) % 47.01/47.28 (define @t4915 () (tptp.hAPP @t530 @t4914)) % 47.01/47.28 (define @t4916 () (tptp.hAPP @t2627 (tptp.hAPP (tptp.hAPP @t2415 @t530) @t48))) % 47.01/47.28 (define @t4917 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t184 @t54)) % 47.01/47.28 (define @t4918 () (tptp.hAPP @t4917 @t51)) % 47.01/47.28 (define @t4919 () (tptp.hAPP @t4894 @t161)) % 47.01/47.28 (define @t4920 () (tptp.hAPP @t4919 (tptp.hAPP (tptp.hAPP @t512 @t4535) @t48))) % 47.01/47.28 (define @t4921 () (tptp.hAPP @t4919 @t51)) % 47.01/47.28 (define @t4922 () (tptp.hAPP (tptp.hAPP @t931 @t4921) @t48)) % 47.01/47.28 (define @t4923 () (tptp.hAPP @t4919 (tptp.hAPP (tptp.hAPP @t2420 @t1054) @t48))) % 47.01/47.28 (define @t4924 () (tptp.hAPP @t1054 (tptp.hAPP @t4919 @t48))) % 47.01/47.28 (define @t4925 () (tptp.hAPP @t4894 @t2496)) % 47.01/47.28 (define @t4926 () (forall @t7 (=> @t402 (= @t2519 @t2496)))) % 47.01/47.28 (define @t4927 () (tptp.hAPP @t4901 @t2607)) % 47.01/47.28 (define @t4928 () (tptp.hAPP @t4927 @t51)) % 47.01/47.28 (define @t4929 () (tptp.hAPP (tptp.hAPP @t2622 @t2633) @t48)) % 47.01/47.28 (define @t4930 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t71 @t15)) % 47.01/47.28 (define @t4931 () (tptp.hAPP @t4930 @t51)) % 47.01/47.28 (define @t4932 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t184 @t15) @t48)) % 47.01/47.28 (define @t4933 () (tptp.hAPP @t4913 (tptp.hAPP (tptp.hAPP @t2415 @t318) @t48))) % 47.01/47.28 (define @t4934 () (tptp.hAPP @t318 @t4914)) % 47.01/47.28 (define @t4935 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t184 @t88) @t51)) % 47.01/47.28 (define @t4936 () (tptp.hAPP @t4935 @t48)) % 47.01/47.28 (define @t4937 () (tptp.hAPP @t4895 @t2603)) % 47.01/47.28 (define @t4938 () (tptp.hAPP @t421 @t51)) % 47.01/47.28 (define @t4939 () (tptp.hAPP @t2420 (tptp.hAPP @t2419 (tptp.hAPP (tptp.hAPP @t2417 tptp.c_fimplies) @t4938)))) % 47.01/47.28 (define @t4940 () (tptp.hAPP @t3871 (tptp.c_HOL_OAll @t71))) % 47.01/47.28 (define @t4941 () (tptp.hAPP @t56 @t4914)) % 47.01/47.28 (define @t4942 () (tptp.hAPP @t4913 (tptp.hAPP (tptp.hAPP @t2415 @t56) @t48))) % 47.01/47.28 (define @t4943 () (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t4913 @t51)) @t48)) % 47.01/47.28 (define @t4944 () (tptp.hAPP @t4913 (tptp.hAPP (tptp.hAPP @t2466 @t2621) @t48))) % 47.01/47.28 (define @t4945 () (tptp.hAPP @t4917 @t2640)) % 47.01/47.28 (define @t4946 () (tptp.hAPP @t130 @t1486)) % 47.01/47.28 (define @t4947 () (tptp.hAPP @t4918 @t3419)) % 47.01/47.28 (define @t4948 () (tptp.hAPP @t3412 @t4936)) % 47.01/47.28 (define @t4949 () (tptp.tc_fun @t2585 @t88)) % 47.01/47.28 (define @t4950 () (tptp.hAPP (tptp.hAPP @t616 @t4921) @t48)) % 47.01/47.28 (define @t4951 () (tptp.hAPP @t4919 (tptp.hAPP (tptp.hAPP @t512 @t4536) @t48))) % 47.01/47.28 (define @t4952 () (tptp.hAPP @t4919 (tptp.hAPP (tptp.hAPP @t2420 @t617) @t48))) % 47.01/47.28 (define @t4953 () (tptp.hAPP @t617 @t2563)) % 47.01/47.28 (define @t4954 () (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t51)) % 47.01/47.28 (define @t4955 () (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t51)) % 47.01/47.28 (define @t4956 () (tptp.hBOOL (tptp.hAPP @t927 @t3))) % 47.01/47.28 (define @t4957 () (tptp.hAPP @t540 @t3)) % 47.01/47.28 (define @t4958 () (@list @t2371 @t15)) % 47.01/47.28 (define @t4959 () (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t161)) % 47.01/47.28 (define @t4960 () (tptp.hAPP @t173 @t51)) % 47.01/47.28 (define @t4961 () (tptp.hBOOL (tptp.hAPP @t4960 @t4959))) % 47.01/47.28 (define @t4962 () (tptp.hBOOL (tptp.hAPP @t4960 @t508))) % 47.01/47.28 (define @t4963 () (tptp.hBOOL (tptp.hAPP @t3420 @t161))) % 47.01/47.28 (define @t4964 () (tptp.hBOOL (tptp.hAPP @t4960 (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t161)))) % 47.01/47.28 (define @t4965 () (forall @t7 (=> @t176 @t2762))) % 47.01/47.28 (define @t4966 () (tptp.c_COMBC @t88 @t2585 @t54)) % 47.01/47.28 (define @t4967 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t54) @t51) (tptp.hAPP (tptp.hAPP @t4966 @t4901) @t48))) % 47.01/47.28 (define @t4968 () (tptp.c_Complete__Lattice_OSup__class_OSup @t88 @t51)) % 47.01/47.28 (define @t4969 () (tptp.hAPP (tptp.hAPP @t4901 @t4968) @t48)) % 47.01/47.28 (define @t4970 () (tptp.c_Set_Oimage @t71 @t54 @t48)) % 47.01/47.28 (define @t4971 () (tptp.hAPP @t4970 @t51)) % 47.01/47.28 (define @t4972 () (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t4971)) % 47.01/47.28 (define @t4973 () (@list @t51 @t48 @t71 @t15)) % 47.01/47.28 (define @t4974 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t54 @t54)) % 47.01/47.28 (define @t4975 () (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t48)) % 47.01/47.28 (define @t4976 () (tptp.hAPP @t3408 (tptp.hAPP @t810 (tptp.hAPP @t2406 @t622)))) % 47.01/47.28 (define @t4977 () (tptp.hAPP @t515 (tptp.c_HOL_OAll @t15))) % 47.01/47.28 (define @t4978 () (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t51)) % 47.01/47.28 (define @t4979 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t48) @t51))) % 47.01/47.28 (define @t4980 () (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t423 @t294))))) % 47.01/47.28 (define @t4981 () (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t1674 @t3))))) % 47.01/47.28 (define @t4982 () (tptp.hAPP @t962 @t3)) % 47.01/47.28 (define @t4983 () (@list @t51 @t161 @t15)) % 47.01/47.28 (define @t4984 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t54 @t54)) % 47.01/47.28 (define @t4985 () (tptp.hAPP @t4984 @t48)) % 47.01/47.28 (define @t4986 () (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t48)) % 47.01/47.28 (define @t4987 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t88 @t54)) % 47.01/47.28 (define @t4988 () (tptp.hAPP @t4987 @t51)) % 47.01/47.28 (define @t4989 () (tptp.hAPP @t4988 (tptp.hAPP (tptp.hAPP @t4966 @t2556) @t48))) % 47.01/47.28 (define @t4990 () (tptp.hAPP (tptp.hAPP @t2556 @t4968) @t48)) % 47.01/47.28 (define @t4991 () (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t51)) % 47.01/47.28 (define @t4992 () (tptp.hAPP @t62 @t4991)) % 47.01/47.28 (define @t4993 () (tptp.hBOOL (tptp.hAPP @t4992 @t48))) % 47.01/47.28 (define @t4994 () (tptp.hAPP @t244 @t51)) % 47.01/47.28 (define @t4995 () (tptp.hAPP (tptp.hAPP @t593 @t290) @t48)) % 47.01/47.28 (define @t4996 () (tptp.hBOOL (tptp.hAPP @t1093 @t51))) % 47.01/47.28 (define @t4997 () (tptp.hBOOL (tptp.hAPP @t927 @t4978))) % 47.01/47.28 (define @t4998 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t243 tptp.tc_HOL_Obool) @t540) @t51)) % 47.01/47.28 (define @t4999 () (tptp.c_COMBB @t243 @t243 @t15)) % 47.01/47.28 (define @t5000 () (tptp.c_COMBB @t243 tptp.tc_HOL_Obool @t15)) % 47.01/47.28 (define @t5001 () (tptp.hAPP (tptp.hAPP @t595 @t51) @t48)) % 47.01/47.28 (define @t5002 () (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t4971)) % 47.01/47.28 (define @t5003 () (tptp.hAPP @t4970 @t161)) % 47.01/47.28 (define @t5004 () (tptp.hAPP (tptp.c_Set_Oimage @t71 @t54 @t51) @t161)) % 47.01/47.28 (define @t5005 () (tptp.hAPP (tptp.hAPP @t593 @t51) (tptp.hAPP (tptp.hAPP @t593 @t48) @t551))) % 47.01/47.28 (define @t5006 () (tptp.hAPP (tptp.hAPP @t994 @t51) @t48)) % 47.01/47.28 (define @t5007 () (= (tptp.hAPP @t220 (tptp.hAPP @t4918 @t48)) (tptp.hAPP @t4935 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t88 @t184) @t220) @t48)))) % 47.01/47.28 (define @t5008 () (@var "B_c2" $$unsorted)) % 47.01/47.28 (define @t5009 () (@var "B_c1" $$unsorted)) % 47.01/47.28 (define @t5010 () (@var "B_c" $$unsorted)) % 47.01/47.28 (define @t5011 () (tptp.c_COMBI @t54)) % 47.01/47.28 (define @t5012 () (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t386)) % 47.01/47.28 (define @t5013 () (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t386)) % 47.01/47.28 (define @t5014 () (@var "B_M" $$unsorted)) % 47.01/47.28 (define @t5015 () (tptp.hAPP (tptp.hAPP @t593 @t47) @t1062)) % 47.01/47.28 (define @t5016 () (@var "B_X" $$unsorted)) % 47.01/47.28 (define @t5017 () (tptp.hAPP @t540 @t5016)) % 47.01/47.28 (define @t5018 () (@list @t5016)) % 47.01/47.28 (define @t5019 () (@list @t281 @t294 @t51 @t15)) % 47.01/47.28 (define @t5020 () (tptp.hBOOL (tptp.hAPP @t4960 @t5016))) % 47.01/47.28 (define @t5021 () (tptp.hBOOL (tptp.hAPP @t5017 @t161))) % 47.01/47.28 (define @t5022 () (@var "B_Q" $$unsorted)) % 47.01/47.28 (define @t5023 () (tptp.hBOOL (tptp.hAPP @t4846 @t1667))) % 47.01/47.28 (define @t5024 () (tptp.hBOOL (tptp.hAPP @t174 @t5022))) % 47.01/47.28 (define @t5025 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t15 @t71 @t2 @t202 @t1 @t1062)) % 47.01/47.28 (define @t5026 () (@var "V_xz_2" $$unsorted)) % 47.01/47.28 (define @t5027 () (@var "V_yx_2" $$unsorted)) % 47.01/47.28 (define @t5028 () (tptp.c_Nitpick_Odenom @t15)) % 47.01/47.28 (define @t5029 () (tptp.hAPP @t5028 @t1667)) % 47.01/47.28 (define @t5030 () (tptp.hAPP @t2021 @t3163)) % 47.01/47.28 (define @t5031 () (tptp.c_Nitpick_Onum @t15)) % 47.01/47.28 (define @t5032 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 47.01/47.28 (define @t5033 () (tptp.hAPP @t5028 @t3294)) % 47.01/47.28 (define @t5034 () (@list @t1667 @t3294 @t15)) % 47.01/47.28 (define @t5035 () (tptp.c_Nitpick_Odenom @t76)) % 47.01/47.28 (define @t5036 () (tptp.hAPP @t5035 @t2100)) % 47.01/47.28 (define @t5037 () (tptp.c_Nitpick_Onum @t76)) % 47.01/47.28 (define @t5038 () (tptp.hAPP @t5037 @t2100)) % 47.01/47.28 (define @t5039 () (@list @t2100 @t76)) % 47.01/47.28 (define @t5040 () (tptp.hAPP @t5031 (tptp.c_Nitpick_Oplus__frac @t15 @t3294 (tptp.c_Nitpick_Ouminus__frac @t15 @t1667)))) % 47.01/47.28 (define @t5041 () (tptp.c_Nitpick_ORep__Frac @t15)) % 47.01/47.28 (define @t5042 () (tptp.hAPP @t1198 @t1033)) % 47.01/47.28 (define @t5043 () (tptp.class_Rings_Olinordered__semidom @t71)) % 47.01/47.28 (define @t5044 () (tptp.c_Nat_Osize__class_Osize @t4435)) % 47.01/47.28 (define @t5045 () (tptp.tc_prod tptp.tc_Nat_Onat @t4435)) % 47.01/47.28 (define @t5046 () (@var "V_ys" $$unsorted)) % 47.01/47.28 (define @t5047 () (@var "V_xs" $$unsorted)) % 47.01/47.28 (define @t5048 () (= @t5047 @t5046)) % 47.01/47.28 (define @t5049 () (tptp.tc_List_Olist @t76)) % 47.01/47.28 (define @t5050 () (tptp.c_Nat_Osize__class_Osize @t5049)) % 47.01/47.28 (define @t5051 () (tptp.hAPP @t5050 @t5046)) % 47.01/47.28 (define @t5052 () (tptp.hAPP @t5050 @t5047)) % 47.01/47.28 (define @t5053 () (@list @t5046 @t5047 @t76)) % 47.01/47.28 (define @t5054 () (@var "V_ys_2" $$unsorted)) % 47.01/47.28 (define @t5055 () (tptp.hAPP @t5044 @t5054)) % 47.01/47.28 (define @t5056 () (= @t5055 @t260)) % 47.01/47.28 (define @t5057 () (@var "V_xs_2" $$unsorted)) % 47.01/47.28 (define @t5058 () (tptp.hAPP @t5044 @t5057)) % 47.01/47.28 (define @t5059 () (tptp.c_Product__Type_OPair @t4435 @t4435)) % 47.01/47.28 (define @t5060 () (tptp.hAPP @t5059 @t5057)) % 47.01/47.28 (define @t5061 () (tptp.c_member @t4449)) % 47.01/47.28 (define @t5062 () (tptp.hAPP @t5061 (tptp.hAPP @t5060 @t5054))) % 47.01/47.28 (define @t5063 () (tptp.tc_fun @t4450 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5064 () (tptp.tc_fun @t4435 @t5063)) % 47.01/47.28 (define @t5065 () (tptp.tc_fun @t4435 @t4449)) % 47.01/47.28 (define @t5066 () (tptp.tc_fun @t4435 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5067 () (tptp.c_COMBB tptp.tc_Nat_Onat @t1866 @t4435)) % 47.01/47.28 (define @t5068 () (tptp.hAPP (tptp.hAPP @t5067 tptp.c_fequal) @t5044)) % 47.01/47.28 (define @t5069 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4435)) % 47.01/47.28 (define @t5070 () (tptp.tc_fun @t4435 tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5071 () (tptp.hAPP (tptp.c_COMBB @t1866 (tptp.tc_fun @t5070 @t5066) @t4435) @t5069)) % 47.01/47.28 (define @t5072 () (tptp.c_COMBC @t4435 @t5070 @t5066)) % 47.01/47.28 (define @t5073 () (tptp.hAPP (tptp.hAPP @t5072 (tptp.hAPP @t5071 @t5068)) @t5044)) % 47.01/47.28 (define @t5074 () (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t4435)) % 47.01/47.28 (define @t5075 () (tptp.hAPP @t5074 tptp.c_fconj)) % 47.01/47.28 (define @t5076 () (tptp.tc_fun @t4435 @t517)) % 47.01/47.28 (define @t5077 () (tptp.c_COMBB @t5066 @t5076 @t4435)) % 47.01/47.28 (define @t5078 () (tptp.c_COMBS @t4435 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5079 () (tptp.tc_fun @t5066 @t5066)) % 47.01/47.28 (define @t5080 () (tptp.hAPP (tptp.c_COMBB @t5076 @t5079 @t4435) @t5078)) % 47.01/47.28 (define @t5081 () (tptp.c_COMBS @t4435 @t5066 @t5066)) % 47.01/47.28 (define @t5082 () (tptp.c_Product__Type_Oprod_Oprod__case @t4435 @t4435 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5083 () (tptp.c_Set_OCollect @t4449)) % 47.01/47.28 (define @t5084 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5049))) % 47.01/47.28 (define @t5085 () (@list @t5047 @t76)) % 47.01/47.28 (define @t5086 () (tptp.hAPP @t2370 @t5058)) % 47.01/47.28 (define @t5087 () (tptp.hAPP @t2375 (tptp.hAPP @t2374 @t5086))) % 47.01/47.28 (define @t5088 () (tptp.hAPP @t5087 (tptp.hAPP @t2373 @t2607))) % 47.01/47.28 (define @t5089 () (tptp.c_List_Osublist @t15 @t5057 @t2607)) % 47.01/47.28 (define @t5090 () (@list @t2607 @t5057 @t15)) % 47.01/47.28 (define @t5091 () (tptp.c_COMBC @t4435 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5092 () (tptp.hAPP @t5091 @t5068)) % 47.01/47.28 (define @t5093 () (tptp.hAPP @t5092 @t261)) % 47.01/47.28 (define @t5094 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4435)) % 47.01/47.28 (define @t5095 () (tptp.c_List_Olist_OCons @t15)) % 47.01/47.28 (define @t5096 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t4435 @t4435) @t5095)) % 47.01/47.28 (define @t5097 () (tptp.tc_prod @t15 @t4435)) % 47.01/47.28 (define @t5098 () (tptp.hAPP @t5044 @t128)) % 47.01/47.28 (define @t5099 () (tptp.hAPP @t5044 @t47)) % 47.01/47.28 (define @t5100 () (= @t5099 @t5098)) % 47.01/47.28 (define @t5101 () (tptp.c_List_Olexord @t15 @t1667)) % 47.01/47.28 (define @t5102 () (tptp.hAPP @t5059 @t47)) % 47.01/47.28 (define @t5103 () (tptp.hAPP @t5061 (tptp.hAPP @t5102 @t128))) % 47.01/47.28 (define @t5104 () (tptp.hBOOL (tptp.hAPP @t5103 @t5101))) % 47.01/47.28 (define @t5105 () (tptp.c_List_Olist_OCons @t76)) % 47.01/47.28 (define @t5106 () (tptp.hAPP @t5105 @t75)) % 47.01/47.28 (define @t5107 () (tptp.hAPP @t5106 @t5046)) % 47.01/47.28 (define @t5108 () (tptp.hAPP @t489 @t5052)) % 47.01/47.28 (define @t5109 () (tptp.hAPP (tptp.hAPP @t5095 @t294) @t128)) % 47.01/47.28 (define @t5110 () (tptp.hAPP @t5095 @t290)) % 47.01/47.28 (define @t5111 () (tptp.hAPP @t5110 @t47)) % 47.01/47.28 (define @t5112 () (@var "V_list_H_2" $$unsorted)) % 47.01/47.28 (define @t5113 () (@var "V_list_2" $$unsorted)) % 47.01/47.28 (define @t5114 () (tptp.hAPP @t5110 @t5113)) % 47.01/47.28 (define @t5115 () (tptp.hAPP @t5106 @t5047)) % 47.01/47.28 (define @t5116 () (@list @t5047 @t75 @t76)) % 47.01/47.28 (define @t5117 () (@list @t75 @t76 @t5047)) % 47.01/47.28 (define @t5118 () (@var "V_list" $$unsorted)) % 47.01/47.28 (define @t5119 () (tptp.hAPP @t5105 @t112)) % 47.01/47.28 (define @t5120 () (= @t5058 @t5055)) % 47.01/47.28 (define @t5121 () (tptp.hAPP @t5095 @t128)) % 47.01/47.28 (define @t5122 () (tptp.hAPP @t5121 @t5054)) % 47.01/47.28 (define @t5123 () (tptp.hAPP @t5095 @t47)) % 47.01/47.28 (define @t5124 () (tptp.hAPP @t5123 @t5057)) % 47.01/47.28 (define @t5125 () (tptp.hAPP @t5059 @t5124)) % 47.01/47.28 (define @t5126 () (tptp.hAPP @t5061 (tptp.hAPP @t5125 @t5122))) % 47.01/47.28 (define @t5127 () (@list @t1667 @t5054 @t128 @t5057 @t47 @t15)) % 47.01/47.28 (define @t5128 () (tptp.c_member @t4435)) % 47.01/47.28 (define @t5129 () (tptp.hAPP (tptp.c_COMBC @t4435 @t5066 tptp.tc_HOL_Obool) @t5128)) % 47.01/47.28 (define @t5130 () (tptp.tc_fun @t4435 @t4435)) % 47.01/47.28 (define @t5131 () (tptp.tc_fun @t5130 @t5066)) % 47.01/47.28 (define @t5132 () (tptp.tc_fun @t15 @t5066)) % 47.01/47.28 (define @t5133 () (tptp.tc_fun @t15 @t5130)) % 47.01/47.28 (define @t5134 () (tptp.tc_fun @t15 @t5076)) % 47.01/47.28 (define @t5135 () (tptp.tc_fun @t15 @t5079)) % 47.01/47.28 (define @t5136 () (tptp.c_Set_OCollect @t4435)) % 47.01/47.28 (define @t5137 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t76) @t75)) % 47.01/47.28 (define @t5138 () (tptp.hAPP (tptp.c_Random_Opick @t76 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t76)) @t75) @t5047)) @t559)) % 47.01/47.28 (define @t5139 () (tptp.hBOOL (tptp.hAPP @t4778 @t5137))) % 47.01/47.28 (define @t5140 () (tptp.c_Random_Oselect__weight @t15 @t5057)) % 47.01/47.28 (define @t5141 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t15)) % 47.01/47.28 (define @t5142 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t15)) % 47.01/47.28 (define @t5143 () (@list @t5057 @t47 @t15)) % 47.01/47.28 (define @t5144 () (tptp.c_List_Olistrel1 @t15 @t1667)) % 47.01/47.28 (define @t5145 () (tptp.c_Transitive__Closure_Ortrancl @t4435 @t5144)) % 47.01/47.28 (define @t5146 () (tptp.hBOOL (tptp.hAPP @t5062 @t5145))) % 47.01/47.28 (define @t5147 () (@list @t5054 @t5057 @t1667 @t128 @t47 @t15)) % 47.01/47.28 (define @t5148 () (tptp.c_Wellfounded_Oacc @t4435 @t5144)) % 47.01/47.28 (define @t5149 () (tptp.hAPP @t5128 @t5124)) % 47.01/47.28 (define @t5150 () (tptp.hAPP @t5128 @t5057)) % 47.01/47.28 (define @t5151 () (tptp.hBOOL (tptp.hAPP @t5150 @t5148))) % 47.01/47.28 (define @t5152 () (tptp.c_Orderings_Oord__class_Oless__eq @t4450)) % 47.01/47.28 (define @t5153 () (tptp.hAPP @t5152 @t5144)) % 47.01/47.28 (define @t5154 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4435 @t4435) @t5144)) % 47.01/47.28 (define @t5155 () (tptp.c_List_Olistrel1 @t15 @t4790)) % 47.01/47.28 (define @t5156 () (tptp.hAPP @t5061 (tptp.hAPP @t5125 (tptp.hAPP @t5123 @t5054)))) % 47.01/47.28 (define @t5157 () (@list @t47 @t1667 @t5054 @t5057 @t15)) % 47.01/47.28 (define @t5158 () (tptp.hBOOL (tptp.hAPP @t5062 @t5144))) % 47.01/47.28 (define @t5159 () (@list @t1667 @t5054 @t5057 @t15)) % 47.01/47.28 (define @t5160 () (= @t5057 @t5054)) % 47.01/47.28 (define @t5161 () (tptp.hAPP @t1274 (tptp.hAPP @t623 @t290))) % 47.01/47.28 (define @t5162 () (tptp.c_Orderings_Obot__class_Obot @t5066)) % 47.01/47.28 (define @t5163 () (tptp.c_Set_Oinsert @t4435)) % 47.01/47.28 (define @t5164 () (tptp.c_List_Olistrel @t15 @t1667)) % 47.01/47.28 (define @t5165 () (tptp.c_Relation_OImage @t4435 @t4435 @t5164)) % 47.01/47.28 (define @t5166 () (tptp.c_List_Olistrel @t15 @t4740)) % 47.01/47.28 (define @t5167 () (@list @t1667 @t5057 @t15)) % 47.01/47.28 (define @t5168 () (tptp.hAPP @t5152 @t5164)) % 47.01/47.28 (define @t5169 () (tptp.hBOOL (tptp.hAPP @t5062 @t5164))) % 47.01/47.28 (define @t5170 () (@var "V_zs_2" $$unsorted)) % 47.01/47.28 (define @t5171 () (tptp.hAPP @t5059 @t5054)) % 47.01/47.28 (define @t5172 () (tptp.hBOOL (tptp.hAPP @t5062 @t5166))) % 47.01/47.28 (define @t5173 () (@var "B_ys" $$unsorted)) % 47.01/47.28 (define @t5174 () (tptp.hAPP @t5095 @t783)) % 47.01/47.28 (define @t5175 () (tptp.hBOOL (tptp.hAPP @t4608 @t128))) % 47.01/47.28 (define @t5176 () (tptp.hBOOL (tptp.hAPP @t4419 @t277))) % 47.01/47.28 (define @t5177 () (tptp.hAPP @t5095 @t277)) % 47.01/47.28 (define @t5178 () (tptp.hAPP @t5095 @t278)) % 47.01/47.28 (define @t5179 () (@var "B_xs" $$unsorted)) % 47.01/47.28 (define @t5180 () (tptp.hAPP @t5095 @t3)) % 47.01/47.28 (define @t5181 () (tptp.hAPP @t5180 @t5179)) % 47.01/47.28 (define @t5182 () (tptp.c_List_Olists @t15 @t51)) % 47.01/47.28 (define @t5183 () (tptp.c_Orderings_Otop__class_Otop @t5066)) % 47.01/47.28 (define @t5184 () (tptp.c_List_Olists @t15 @t48)) % 47.01/47.28 (define @t5185 () (tptp.c_Orderings_Oord__class_Oless__eq @t5066)) % 47.01/47.28 (define @t5186 () (tptp.hBOOL (tptp.hAPP @t5150 @t5182))) % 47.01/47.28 (define @t5187 () (tptp.hBOOL (tptp.hAPP @t5150 (tptp.c_List_Olists @t15 @t4350)))) % 47.01/47.28 (define @t5188 () (tptp.c_List_Onth @t15)) % 47.01/47.28 (define @t5189 () (tptp.hAPP @t5188 @t5054)) % 47.01/47.28 (define @t5190 () (tptp.hAPP @t5188 @t5057)) % 47.01/47.28 (define @t5191 () (tptp.hAPP @t5190 @t429)) % 47.01/47.28 (define @t5192 () (tptp.hAPP @t4011 @t5191)) % 47.01/47.28 (define @t5193 () (tptp.hAPP @t816 @t429)) % 47.01/47.28 (define @t5194 () (tptp.hBOOL (tptp.hAPP @t5193 @t5058))) % 47.01/47.28 (define @t5195 () (tptp.hAPP @t5059 @t128)) % 47.01/47.28 (define @t5196 () (tptp.hAPP @t4011 @t935)) % 47.01/47.28 (define @t5197 () (tptp.c_List_Onth @t76)) % 47.01/47.28 (define @t5198 () (tptp.hAPP @t5197 @t5047)) % 47.01/47.28 (define @t5199 () (tptp.hAPP @t5198 @t369)) % 47.01/47.28 (define @t5200 () (tptp.hAPP @t5197 @t5115)) % 47.01/47.28 (define @t5201 () (tptp.hAPP @t5190 @t948)) % 47.01/47.28 (define @t5202 () (tptp.hBOOL (tptp.hAPP @t2340 @t5058))) % 47.01/47.28 (define @t5203 () (@list @t15 @t5054 @t5057)) % 47.01/47.28 (define @t5204 () (tptp.c_Finite__Set_Ofinite @t4435)) % 47.01/47.28 (define @t5205 () (tptp.hAPP @t5200 @t369)) % 47.01/47.28 (define @t5206 () (@list @t5047 @t75 @t76 @t369)) % 47.01/47.28 (define @t5207 () (tptp.hAPP @t5200 @t3436)) % 47.01/47.28 (define @t5208 () (not @t3603)) % 47.01/47.28 (define @t5209 () (@list @t5047 @t75 @t76 @t1790)) % 47.01/47.28 (define @t5210 () (tptp.c_List_Otake @t15)) % 47.01/47.28 (define @t5211 () (tptp.hAPP @t5210 @t948)) % 47.01/47.28 (define @t5212 () (tptp.c_List_Otake @t76)) % 47.01/47.28 (define @t5213 () (tptp.hAPP @t5212 @t369)) % 47.01/47.28 (define @t5214 () (tptp.hAPP @t5213 @t5047)) % 47.01/47.28 (define @t5215 () (tptp.hBOOL (tptp.hAPP @t5108 @t369))) % 47.01/47.28 (define @t5216 () (@list @t369 @t5047 @t76)) % 47.01/47.28 (define @t5217 () (tptp.hAPP @t5198 @t559)) % 47.01/47.28 (define @t5218 () (tptp.hBOOL (tptp.hAPP @t873 @t369))) % 47.01/47.28 (define @t5219 () (tptp.hAPP @t5210 @t260)) % 47.01/47.28 (define @t5220 () (tptp.hAPP (tptp.hAPP @t5212 @t488) @t5047)) % 47.01/47.28 (define @t5221 () (@list @t5047 @t488 @t369 @t76)) % 47.01/47.28 (define @t5222 () (tptp.hAPP @t2719 @t5052)) % 47.01/47.28 (define @t5223 () (@list @t5047 @t369 @t76)) % 47.01/47.28 (define @t5224 () (tptp.hAPP @t5212 @t370)) % 47.01/47.28 (define @t5225 () (@list @t5047 @t75 @t369 @t76)) % 47.01/47.28 (define @t5226 () (tptp.c_List_Oset @t15)) % 47.01/47.28 (define @t5227 () (tptp.c_COMBB @t54 @t243 @t4435)) % 47.01/47.28 (define @t5228 () (tptp.c_COMBC @t4435 @t54 tptp.tc_HOL_Obool)) % 47.01/47.28 (define @t5229 () (tptp.hAPP @t5228 (tptp.hAPP (tptp.hAPP @t5227 @t62) @t5226))) % 47.01/47.28 (define @t5230 () (tptp.hAPP @t5229 @t51)) % 47.01/47.28 (define @t5231 () (tptp.hAPP @t5078 (tptp.hAPP @t5075 @t5230))) % 47.01/47.28 (define @t5232 () (@list @t260 @t51 @t15)) % 47.01/47.28 (define @t5233 () (tptp.c_COMBB @t15 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5234 () (tptp.tc_fun tptp.tc_Nat_Onat @t15)) % 47.01/47.28 (define @t5235 () (tptp.tc_fun tptp.tc_Nat_Onat @t517)) % 47.01/47.28 (define @t5236 () (tptp.hAPP (tptp.c_COMBC @t15 @t1866 @t1866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5235 @t4147 @t15) @t2375) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1866 @t5235 @t15) @t2374) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t5234 @t1866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 (tptp.tc_fun @t5234 @t1866) @t15) @t5233) tptp.c_fequal)) @t5190))))) % 47.01/47.28 (define @t5237 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5238 () (tptp.hAPP (tptp.c_COMBB @t1866 tptp.tc_HOL_Obool @t15) @t5237)) % 47.01/47.28 (define @t5239 () (tptp.hAPP @t5226 @t5089)) % 47.01/47.28 (define @t5240 () (tptp.hAPP @t5226 @t5057)) % 47.01/47.28 (define @t5241 () (@list @t5057 @t15)) % 47.01/47.28 (define @t5242 () (tptp.hAPP @t5219 @t5057)) % 47.01/47.28 (define @t5243 () (tptp.hAPP @t5226 @t5242)) % 47.01/47.28 (define @t5244 () (@list @t5057 @t260 @t15)) % 47.01/47.28 (define @t5245 () (tptp.hBOOL (tptp.hAPP @t323 @t5240))) % 47.01/47.28 (define @t5246 () (@list @t5057 @t260 @t47 @t15)) % 47.01/47.28 (define @t5247 () (tptp.hAPP @t338 @t5240)) % 47.01/47.28 (define @t5248 () (tptp.hAPP @t5226 @t5124)) % 47.01/47.28 (define @t5249 () (tptp.hBOOL (tptp.hAPP @t360 @t5240))) % 47.01/47.28 (define @t5250 () (tptp.hBOOL (tptp.hAPP @t323 @t5239))) % 47.01/47.28 (define @t5251 () (@list @t2607 @t5057 @t47 @t15)) % 47.01/47.28 (define @t5252 () (not @t5245)) % 47.01/47.28 (define @t5253 () (tptp.c_Enum_Osublists @t15 @t5057)) % 47.01/47.28 (define @t5254 () (tptp.c_List_Oset @t4435)) % 47.01/47.28 (define @t5255 () (tptp.c_Set_Oimage @t4435 @t54 @t5226)) % 47.01/47.28 (define @t5256 () (tptp.hAPP @t62 @t5240)) % 47.01/47.28 (define @t5257 () (@list @t47 @t5057 @t15)) % 47.01/47.28 (define @t5258 () (tptp.hAPP @t1207 @t5240)) % 47.01/47.28 (define @t5259 () (tptp.hAPP @t35 @t5201)) % 47.01/47.28 (define @t5260 () (tptp.hBOOL @t5259)) % 47.01/47.28 (define @t5261 () (=> @t5202 @t5260)) % 47.01/47.28 (define @t5262 () (forall @t952 @t5261)) % 47.01/47.28 (define @t5263 () (tptp.hBOOL (tptp.hAPP @t174 @t5240))) % 47.01/47.28 (define @t5264 () (forall @t7 (=> @t5263 @t172))) % 47.01/47.28 (define @t5265 () (@list @t35 @t5057 @t15)) % 47.01/47.28 (define @t5266 () (tptp.c_List_Olist_Olist__size @t15 @t2 @t5057)) % 47.01/47.28 (define @t5267 () (tptp.hAPP @t816 @t128)) % 47.01/47.28 (define @t5268 () (@list @t2 @t128 @t5057 @t47 @t15)) % 47.01/47.28 (define @t5269 () (@list @t51 @t5057 @t15)) % 47.01/47.28 (define @t5270 () (tptp.hBOOL (tptp.hAPP @t822 @t5058))) % 47.01/47.28 (define @t5271 () (tptp.hAPP @t5190 @t260)) % 47.01/47.28 (define @t5272 () (tptp.hBOOL (tptp.hAPP @t857 @t5058))) % 47.01/47.28 (define @t5273 () (tptp.hAPP @t5092 @t260)) % 47.01/47.28 (define @t5274 () (tptp.hAPP (tptp.c_List_Ozip @t15 @t15) @t5057)) % 47.01/47.28 (define @t5275 () (tptp.c_List_Oset @t3402)) % 47.01/47.28 (define @t5276 () (tptp.hBOOL (tptp.hAPP @t4615 (tptp.hAPP @t5275 (tptp.hAPP @t5274 @t5054))))) % 47.01/47.28 (define @t5277 () (tptp.c_Enum_On__lists @t15 @t260 @t5057)) % 47.01/47.28 (define @t5278 () (tptp.hAPP @t5254 @t5277)) % 47.01/47.28 (define @t5279 () (tptp.hAPP @t5044 @t5046)) % 47.01/47.28 (define @t5280 () (tptp.c_List_Ozip @t76 @t15)) % 47.01/47.28 (define @t5281 () (tptp.hAPP @t5280 @t5047)) % 47.01/47.28 (define @t5282 () (tptp.hAPP @t5281 @t5046)) % 47.01/47.28 (define @t5283 () (tptp.tc_prod @t76 @t15)) % 47.01/47.28 (define @t5284 () (@list @t5046 @t5047 @t369 @t15 @t76)) % 47.01/47.28 (define @t5285 () (tptp.c_List_Oset @t71)) % 47.01/47.28 (define @t5286 () (tptp.hAPP @t5285 @t5054)) % 47.01/47.28 (define @t5287 () (tptp.hBOOL (tptp.hAPP @t850 @t5286))) % 47.01/47.28 (define @t5288 () (tptp.c_List_Ozip @t15 @t71)) % 47.01/47.28 (define @t5289 () (tptp.hAPP @t5288 @t5057)) % 47.01/47.28 (define @t5290 () (tptp.hAPP @t5289 @t5054)) % 47.01/47.28 (define @t5291 () (tptp.c_List_Oset @t2508)) % 47.01/47.28 (define @t5292 () (tptp.hAPP @t5291 @t5290)) % 47.01/47.28 (define @t5293 () (tptp.hBOOL (tptp.hAPP @t3862 @t5292))) % 47.01/47.28 (define @t5294 () (@list @t5054 @t5057 @t128 @t47 @t71 @t15)) % 47.01/47.28 (define @t5295 () (tptp.hBOOL (tptp.hAPP @t291 @t5240))) % 47.01/47.28 (define @t5296 () (tptp.hAPP @t5274 @t5057)) % 47.01/47.28 (define @t5297 () (tptp.hBOOL (tptp.hAPP @t873 @t5052))) % 47.01/47.28 (define @t5298 () (tptp.hAPP @t5128 @t5054)) % 47.01/47.28 (define @t5299 () (tptp.c_Enum_On__lists @t76 @t369 @t5047)) % 47.01/47.28 (define @t5300 () (tptp.tc_List_Olist @t71)) % 47.01/47.28 (define @t5301 () (tptp.c_Nat_Osize__class_Osize @t5300)) % 47.01/47.28 (define @t5302 () (tptp.hAPP @t5301 @t5054)) % 47.01/47.28 (define @t5303 () (tptp.hAPP (tptp.hAPP @t2719 @t5058) @t5302)) % 47.01/47.28 (define @t5304 () (tptp.c_List_Onth @t71)) % 47.01/47.28 (define @t5305 () (tptp.hAPP @t5304 @t5054)) % 47.01/47.28 (define @t5306 () (tptp.tc_fun tptp.tc_Nat_Onat @t2508)) % 47.01/47.28 (define @t5307 () (@list @t5054 @t5057 @t71 @t15)) % 47.01/47.28 (define @t5308 () (tptp.c_Enum_Oproduct @t15 @t71 @t5057 @t5054)) % 47.01/47.28 (define @t5309 () (tptp.hAPP (tptp.hAPP @t1924 @t1374) @t1877)) % 47.01/47.28 (define @t5310 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 47.01/47.28 (define @t5311 () (tptp.c_List_Oupto @t1144 @t1374)) % 47.01/47.28 (define @t5312 () (tptp.hAPP @t5310 @t5311)) % 47.01/47.28 (define @t5313 () (tptp.c_List_Oupto @t2075 @t1374)) % 47.01/47.28 (define @t5314 () (tptp.c_List_Omonoid__add__class_Olistsum @t15)) % 47.01/47.28 (define @t5315 () (tptp.hAPP @t5314 @t5057)) % 47.01/47.28 (define @t5316 () (@var "V_ns_2" $$unsorted)) % 47.01/47.28 (define @t5317 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5318 () (tptp.hAPP @t5317 @t5316)) % 47.01/47.28 (define @t5319 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1477 @t5318)) (= @t3 @t520)))) % 47.01/47.28 (define @t5320 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5321 () (tptp.c_List_Omonoid__add__class_Olistsum @t76)) % 47.01/47.28 (define @t5322 () (tptp.hAPP @t5321 @t5047)) % 47.01/47.28 (define @t5323 () (@var "V_ns" $$unsorted)) % 47.01/47.28 (define @t5324 () (tptp.hAPP @t5320 @t5323)) % 47.01/47.28 (define @t5325 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5326 () (tptp.hAPP (tptp.hAPP @t5325 @t5323) @t558)) % 47.01/47.28 (define @t5327 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 47.01/47.28 (define @t5328 () (tptp.c_Nat_Osize__class_Osize @t5327)) % 47.01/47.28 (define @t5329 () (tptp.hBOOL (tptp.hAPP @t1292 (tptp.hAPP @t5328 @t5323)))) % 47.01/47.28 (define @t5330 () (tptp.hAPP @t5212 @t1481)) % 47.01/47.28 (define @t5331 () (tptp.hAPP @t5330 @t5047)) % 47.01/47.28 (define @t5332 () (@list @t5047 @t76 @t369)) % 47.01/47.28 (define @t5333 () (tptp.c_List_Obutlast @t15 @t5057)) % 47.01/47.28 (define @t5334 () (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 @t5333)))) % 47.01/47.28 (define @t5335 () (tptp.c_List_Obutlast @t76 @t5047)) % 47.01/47.28 (define @t5336 () (tptp.hBOOL (tptp.hAPP @t817 @t5052))) % 47.01/47.28 (define @t5337 () (tptp.hAPP @t643 @t5052)) % 47.01/47.28 (define @t5338 () (tptp.hAPP @t5337 @t1449)) % 47.01/47.28 (define @t5339 () (tptp.hAPP @t5212 @t558)) % 47.01/47.28 (define @t5340 () (tptp.hAPP @t5197 @t5046)) % 47.01/47.28 (define @t5341 () (tptp.hAPP @t5198 @t948)) % 47.01/47.28 (define @t5342 () (tptp.c_List_Olist__update @t76 @t5047)) % 47.01/47.28 (define @t5343 () (tptp.hAPP @t5342 @t559)) % 47.01/47.28 (define @t5344 () (tptp.hAPP @t5343 @t75)) % 47.01/47.28 (define @t5345 () (@list @t75 @t559 @t5047 @t76)) % 47.01/47.28 (define @t5346 () (tptp.hAPP @t5198 @t561)) % 47.01/47.28 (define @t5347 () (tptp.hAPP @t5197 @t5344)) % 47.01/47.28 (define @t5348 () (tptp.hAPP @t5347 @t561)) % 47.01/47.28 (define @t5349 () (= @t559 @t561)) % 47.01/47.28 (define @t5350 () (=> (not @t5349) (= @t5348 @t5346))) % 47.01/47.28 (define @t5351 () (@list @t559 @t5047 @t76)) % 47.01/47.28 (define @t5352 () (tptp.hAPP @t5343 @t95)) % 47.01/47.28 (define @t5353 () (tptp.c_List_Olist__update @t76 @t5115)) % 47.01/47.28 (define @t5354 () (tptp.hAPP @t5105 @t95)) % 47.01/47.28 (define @t5355 () (tptp.hAPP @t5354 @t5047)) % 47.01/47.28 (define @t5356 () (tptp.c_List_Olist__update @t15 @t5057)) % 47.01/47.28 (define @t5357 () (tptp.hAPP (tptp.c_COMBB @t4435 @t4435 tptp.tc_Nat_Onat) @t5123)) % 47.01/47.28 (define @t5358 () (tptp.c_List_Olist__update @t76 @t5344)) % 47.01/47.28 (define @t5359 () (@var "V_x_H" $$unsorted)) % 47.01/47.28 (define @t5360 () (@var "V_i_H" $$unsorted)) % 47.01/47.28 (define @t5361 () (@var "V_xy" $$unsorted)) % 47.01/47.28 (define @t5362 () (tptp.hAPP (tptp.c_List_Olist__update @t15 @t5046) @t559)) % 47.01/47.28 (define @t5363 () (tptp.hAPP (tptp.c_List_Olist__update @t5283 @t5282) @t559)) % 47.01/47.28 (define @t5364 () (tptp.hAPP @t5356 @t1144)) % 47.01/47.28 (define @t5365 () (tptp.hAPP @t5364 @t47)) % 47.01/47.28 (define @t5366 () (tptp.hAPP @t62 (tptp.hAPP @t5226 @t5365))) % 47.01/47.28 (define @t5367 () (tptp.hAPP @t5190 @t1144)) % 47.01/47.28 (define @t5368 () (tptp.hBOOL (tptp.hAPP @t1379 @t5058))) % 47.01/47.28 (define @t5369 () (tptp.hAPP @t5342 @t558)) % 47.01/47.28 (define @t5370 () (tptp.hAPP @t5369 @t75)) % 47.01/47.28 (define @t5371 () (tptp.c_List_Obutlast @t76 @t5370)) % 47.01/47.28 (define @t5372 () (= @t558 @t5338)) % 47.01/47.28 (define @t5373 () (not @t5372)) % 47.01/47.28 (define @t5374 () (tptp.c_List_Odistinct @t15)) % 47.01/47.28 (define @t5375 () (tptp.hAPP @t529 @t5240)) % 47.01/47.28 (define @t5376 () (tptp.hBOOL (tptp.hAPP @t5374 @t5057))) % 47.01/47.28 (define @t5377 () (tptp.c_List_Odistinct @t76)) % 47.01/47.28 (define @t5378 () (tptp.hBOOL (tptp.hAPP @t5377 @t5047))) % 47.01/47.28 (define @t5379 () (tptp.c_List_Odistinct @t5283)) % 47.01/47.28 (define @t5380 () (@list @t5046 @t15 @t5047 @t76)) % 47.01/47.28 (define @t5381 () (tptp.c_List_Oupto @t559 @t561)) % 47.01/47.28 (define @t5382 () (tptp.hAPP @t5212 @t559)) % 47.01/47.28 (define @t5383 () (tptp.hAPP @t5382 @t5047)) % 47.01/47.28 (define @t5384 () (and @t5252 @t5376)) % 47.01/47.28 (define @t5385 () (= @t5258 @t5058)) % 47.01/47.28 (define @t5386 () (tptp.hAPP @t5190 @t900)) % 47.01/47.28 (define @t5387 () (tptp.hBOOL (tptp.hAPP @t901 @t5058))) % 47.01/47.28 (define @t5388 () (tptp.hAPP @t5190 @t1374)) % 47.01/47.28 (define @t5389 () (tptp.hAPP @t816 @t1374)) % 47.01/47.28 (define @t5390 () (@list @t1374 @t1144 @t5057 @t15)) % 47.01/47.28 (define @t5391 () (tptp.c_Nitpick_Ocard_H @t15 @t51)) % 47.01/47.28 (define @t5392 () (tptp.c_Hilbert__Choice_OEps @t4435 (tptp.hAPP (tptp.hAPP @t5078 (tptp.hAPP @t5075 (tptp.hAPP (tptp.hAPP @t5228 (tptp.hAPP (tptp.hAPP @t5227 tptp.c_fequal) @t5226)) @t51))) @t5374))) % 47.01/47.28 (define @t5393 () (tptp.hAPP @t5375 @t384)) % 47.01/47.28 (define @t5394 () (tptp.c_List_Oremove1 @t15 @t47 @t5057)) % 47.01/47.28 (define @t5395 () (tptp.hAPP @t5226 @t5394)) % 47.01/47.28 (define @t5396 () (tptp.c_List_Oremove1 @t76 @t75 @t5047)) % 47.01/47.28 (define @t5397 () (@list @t75 @t5047 @t76)) % 47.01/47.28 (define @t5398 () (@list @t128 @t5057 @t47 @t15)) % 47.01/47.28 (define @t5399 () (tptp.c_List_Oremove1 @t76 @t75 @t5355)) % 47.01/47.28 (define @t5400 () (@list @t5047 @t76 @t95 @t75)) % 47.01/47.28 (define @t5401 () (@var "V_zs" $$unsorted)) % 47.01/47.28 (define @t5402 () (@list @t5401 @t95 @t75 @t76)) % 47.01/47.28 (define @t5403 () (tptp.hAPP @t5044 @t5394)) % 47.01/47.28 (define @t5404 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t15 @t51)) % 47.01/47.28 (define @t5405 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t15 @t531)) % 47.01/47.28 (define @t5406 () (tptp.hAPP (tptp.hAPP @t5212 @t3436) @t5115)) % 47.01/47.28 (define @t5407 () (tptp.c_List_Olist_ONil @t76)) % 47.01/47.28 (define @t5408 () (tptp.c_List_Olist_ONil @t15)) % 47.01/47.28 (define @t5409 () (= @t5057 @t5408)) % 47.01/47.28 (define @t5410 () (tptp.hAPP @t5059 @t5408)) % 47.01/47.28 (define @t5411 () (tptp.hAPP @t5061 (tptp.hAPP @t5410 @t5057))) % 47.01/47.28 (define @t5412 () (tptp.hAPP @t5061 (tptp.hAPP @t5060 @t5408))) % 47.01/47.28 (define @t5413 () (= @t5047 @t5407)) % 47.01/47.28 (define @t5414 () (not @t5413)) % 47.01/47.28 (define @t5415 () (@list @t76 @t5047)) % 47.01/47.28 (define @t5416 () (tptp.c_List_Olist_ONil @t5283)) % 47.01/47.28 (define @t5417 () (@list @t623 @t15)) % 47.01/47.28 (define @t5418 () (@var "V_uu" $$unsorted)) % 47.01/47.28 (define @t5419 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 47.01/47.28 (define @t5420 () (= @t5381 @t5419)) % 47.01/47.28 (define @t5421 () (@var "V_list_H" $$unsorted)) % 47.01/47.28 (define @t5422 () (tptp.hAPP (tptp.hAPP @t5105 @t3196) @t5421)) % 47.01/47.28 (define @t5423 () (@list @t5421 @t3196 @t76)) % 47.01/47.28 (define @t5424 () (tptp.c_List_Olist_ONil @t5049)) % 47.01/47.28 (define @t5425 () (tptp.c_List_Olist_OCons @t5049)) % 47.01/47.28 (define @t5426 () (tptp.hAPP @t5425 @t5407)) % 47.01/47.28 (define @t5427 () (tptp.hAPP @t5426 @t5424)) % 47.01/47.28 (define @t5428 () (tptp.c_Enum_On__lists @t76 @t369 @t5407)) % 47.01/47.28 (define @t5429 () (tptp.c_List_Obutlast @t76 @t5115)) % 47.01/47.28 (define @t5430 () (tptp.hAPP (tptp.c_List_Olist__update @t76 @t5407) @t559)) % 47.01/47.28 (define @t5431 () (not @t5409)) % 47.01/47.28 (define @t5432 () (tptp.hAPP @t5106 @t5407)) % 47.01/47.28 (define @t5433 () (tptp.hAPP @t5410 @t5408)) % 47.01/47.28 (define @t5434 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4435 @t4435)) % 47.01/47.28 (define @t5435 () (@list @t5057 @t47 @t260 @t15)) % 47.01/47.28 (define @t5436 () (tptp.hAPP @t2074 @t1877)) % 47.01/47.28 (define @t5437 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 47.01/47.28 (define @t5438 () (tptp.hAPP @t5123 @t5408)) % 47.01/47.28 (define @t5439 () (tptp.c_List_Osublist @t15 @t5438 @t51)) % 47.01/47.28 (define @t5440 () (tptp.hAPP @t2383 @t51)) % 47.01/47.28 (define @t5441 () (tptp.hBOOL @t5440)) % 47.01/47.28 (define @t5442 () (tptp.hAPP (tptp.hAPP @t5163 @t5408) @t5162)) % 47.01/47.28 (define @t5443 () (tptp.hAPP @t5213 @t5115)) % 47.01/47.28 (define @t5444 () (tptp.hAPP @t3443 @t488)) % 47.01/47.28 (define @t5445 () (tptp.c_List_Oupto @t5444 @t3763)) % 47.01/47.28 (define @t5446 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t5444) @t3763))) % 47.01/47.28 (define @t5447 () (tptp.c_COMBC @t15 @t4435 @t4435)) % 47.01/47.28 (define @t5448 () (tptp.hAPP @t5447 @t5095)) % 47.01/47.28 (define @t5449 () (tptp.hAPP @t5448 @t5408)) % 47.01/47.28 (define @t5450 () (tptp.hBOOL (tptp.hAPP @t2226 @t1374))) % 47.01/47.28 (define @t5451 () (tptp.c_Wellfounded_Oaccp @t3823 tptp.c_List_Oupto__rel)) % 47.01/47.28 (define @t5452 () (tptp.c_Random_Oselect @t15 @t5057)) % 47.01/47.28 (define @t5453 () (tptp.c_Product__Type_Ofst @t15 @t4786)) % 47.01/47.28 (define @t5454 () (tptp.tc_List_Olist @t2508)) % 47.01/47.28 (define @t5455 () (tptp.c_List_Olist_OCons @t2508)) % 47.01/47.28 (define @t5456 () (tptp.tc_fun @t5454 @t5454)) % 47.01/47.28 (define @t5457 () (tptp.tc_fun @t4435 @t5454)) % 47.01/47.28 (define @t5458 () (tptp.c_List_Olist_ONil @t2508)) % 47.01/47.28 (define @t5459 () (tptp.c_List_Olist_OCons @t71)) % 47.01/47.28 (define @t5460 () (tptp.hAPP @t5459 @t128)) % 47.01/47.28 (define @t5461 () (tptp.hAPP @t5460 @t5054)) % 47.01/47.28 (define @t5462 () (tptp.hAPP @t771 @t290)) % 47.01/47.28 (define @t5463 () (tptp.c_List_Olist_Olist__case @t15 @t71 @t81 @t771)) % 47.01/47.28 (define @t5464 () (tptp.c_List_Olist_ONil @t71)) % 47.01/47.28 (define @t5465 () (@list @t771 @t81 @t71 @t15)) % 47.01/47.28 (define @t5466 () (@var "V_As_2" $$unsorted)) % 47.01/47.28 (define @t5467 () (tptp.tc_fun @t5300 @t5454)) % 47.01/47.28 (define @t5468 () (@list @t5054 @t5057 @t47 @t71 @t15)) % 47.01/47.28 (define @t5469 () (tptp.hAPP (tptp.hAPP @t1878 @t948) @t1877)) % 47.01/47.28 (define @t5470 () (tptp.c_Lazy__Sequence_Oanamorph @t71 @t15 @t2)) % 47.01/47.28 (define @t5471 () (tptp.c_Product__Type_OPair @t4435 @t71)) % 47.01/47.28 (define @t5472 () (tptp.tc_prod @t4435 @t71)) % 47.01/47.28 (define @t5473 () (tptp.tc_fun @t71 @t5472)) % 47.01/47.28 (define @t5474 () (tptp.tc_fun @t4435 @t5473)) % 47.01/47.28 (define @t5475 () (tptp.tc_fun @t5472 @t5472)) % 47.01/47.28 (define @t5476 () (tptp.hAPP (tptp.hAPP @t5471 @t5408) @t47)) % 47.01/47.28 (define @t5477 () (tptp.hAPP (tptp.hAPP @t5470 @t469) @t47)) % 47.01/47.28 (define @t5478 () (tptp.c_List_Oappend @t15)) % 47.01/47.28 (define @t5479 () (tptp.hAPP @t5123 @t1490)) % 47.01/47.28 (define @t5480 () (tptp.hAPP @t5121 @t5408)) % 47.01/47.28 (define @t5481 () (tptp.hAPP @t5478 @t5054)) % 47.01/47.28 (define @t5482 () (tptp.hAPP @t5481 @t5480)) % 47.01/47.28 (define @t5483 () (tptp.hAPP @t5478 @t5057)) % 47.01/47.28 (define @t5484 () (tptp.hAPP @t5483 @t5438)) % 47.01/47.28 (define @t5485 () (@var "B_ys_H" $$unsorted)) % 47.01/47.28 (define @t5486 () (tptp.hAPP (tptp.hAPP @t5478 @t5485) @t5170)) % 47.01/47.28 (define @t5487 () (tptp.hAPP @t5123 @t5485)) % 47.01/47.28 (define @t5488 () (@list @t5485)) % 47.01/47.28 (define @t5489 () (= @t5054 @t5408)) % 47.01/47.28 (define @t5490 () (tptp.hAPP @t5481 @t5170)) % 47.01/47.28 (define @t5491 () (tptp.c_List_Oappend @t76)) % 47.01/47.28 (define @t5492 () (tptp.hAPP @t5491 @t5047)) % 47.01/47.28 (define @t5493 () (tptp.hAPP @t5492 @t5046)) % 47.01/47.28 (define @t5494 () (@list @t5046 @t5047 @t75 @t76)) % 47.01/47.28 (define @t5495 () (tptp.hAPP (tptp.hAPP @t5491 @t5046) @t5401)) % 47.01/47.28 (define @t5496 () (@var "V_xs1" $$unsorted)) % 47.01/47.28 (define @t5497 () (tptp.hAPP @t5491 @t5496)) % 47.01/47.28 (define @t5498 () (tptp.hAPP @t5483 @t5054)) % 47.01/47.28 (define @t5499 () (@var "V_us" $$unsorted)) % 47.01/47.28 (define @t5500 () (= @t5054 @t5170)) % 47.01/47.28 (define @t5501 () (tptp.hAPP @t5478 @t5170)) % 47.01/47.28 (define @t5502 () (@list @t5170 @t5054 @t5057 @t15)) % 47.01/47.28 (define @t5503 () (@var "B_us" $$unsorted)) % 47.01/47.28 (define @t5504 () (tptp.hAPP @t5478 @t5503)) % 47.01/47.28 (define @t5505 () (tptp.hAPP @t5226 @t5054)) % 47.01/47.28 (define @t5506 () (tptp.hAPP (tptp.hAPP @t55 @t5240) @t5505)) % 47.01/47.28 (define @t5507 () (@list @t5054 @t5057 @t15)) % 47.01/47.28 (define @t5508 () (@var "V_vs" $$unsorted)) % 47.01/47.28 (define @t5509 () (tptp.hAPP @t5280 @t5046)) % 47.01/47.28 (define @t5510 () (tptp.c_List_Oappend @t5283)) % 47.01/47.28 (define @t5511 () (tptp.hAPP @t5280 @t5493)) % 47.01/47.28 (define @t5512 () (tptp.hAPP @t1274 @t5052)) % 47.01/47.28 (define @t5513 () (tptp.hAPP @t5512 @t5051)) % 47.01/47.28 (define @t5514 () (tptp.c_List_Obutlast @t76 @t5493)) % 47.01/47.28 (define @t5515 () (= @t5046 @t5407)) % 47.01/47.28 (define @t5516 () (not @t5515)) % 47.01/47.28 (define @t5517 () (@list @t5047 @t76 @t5046)) % 47.01/47.28 (define @t5518 () (tptp.hAPP (tptp.hAPP @t5491 @t5407) @t5046)) % 47.01/47.28 (define @t5519 () (@list @t5046 @t76)) % 47.01/47.28 (define @t5520 () (and @t5409 @t5489)) % 47.01/47.28 (define @t5521 () (tptp.hAPP @t5492 @t5107)) % 47.01/47.28 (define @t5522 () (tptp.hAPP @t5197 @t5493)) % 47.01/47.28 (define @t5523 () (tptp.hAPP @t644 @t5052)) % 47.01/47.28 (define @t5524 () (tptp.hAPP @t5491 @t5214)) % 47.01/47.28 (define @t5525 () (@list @t5046 @t5047 @t369 @t76)) % 47.01/47.28 (define @t5526 () (tptp.c_List_Olist__update @t76 @t5493)) % 47.01/47.28 (define @t5527 () (tptp.hAPP @t5354 @t5046)) % 47.01/47.28 (define @t5528 () (tptp.c_List_Oremove1 @t15 @t47 @t5498)) % 47.01/47.28 (define @t5529 () (@list @t5054 @t5057 @t47 @t15)) % 47.01/47.28 (define @t5530 () (tptp.c_List_Obutlast @t15 @t5054)) % 47.01/47.28 (define @t5531 () (tptp.hAPP @t5492 @t5432)) % 47.01/47.28 (define @t5532 () (@var "V_vs_2" $$unsorted)) % 47.01/47.28 (define @t5533 () (@var "V_us_2" $$unsorted)) % 47.01/47.28 (define @t5534 () (tptp.hAPP @t5483 @t5533)) % 47.01/47.28 (define @t5535 () (tptp.hAPP @t5478 @t47)) % 47.01/47.28 (define @t5536 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 (tptp.hAPP @t5535 @t1486)) (tptp.hAPP @t5535 @t3462))) @t5101))) % 47.01/47.28 (define @t5537 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t1486) @t3462)) @t5101))) % 47.01/47.28 (define @t5538 () (tptp.hBOOL (tptp.hAPP @t5374 @t5054))) % 47.01/47.28 (define @t5539 () (tptp.hAPP @t5522 @t369)) % 47.01/47.28 (define @t5540 () (not @t5336)) % 47.01/47.28 (define @t5541 () (tptp.hAPP (tptp.hAPP @t5526 @t369) @t75)) % 47.01/47.28 (define @t5542 () (@var "V_l_H_2" $$unsorted)) % 47.01/47.28 (define @t5543 () (tptp.hAPP @t5478 @t5533)) % 47.01/47.28 (define @t5544 () (tptp.hAPP @t5478 @t1486)) % 47.01/47.28 (define @t5545 () (tptp.hAPP @t5105 @t5217)) % 47.01/47.28 (define @t5546 () (tptp.hAPP @t5491 @t5383)) % 47.01/47.28 (define @t5547 () (@list @t5047 @t76 @t559)) % 47.01/47.28 (define @t5548 () (@var "B_vs" $$unsorted)) % 47.01/47.28 (define @t5549 () (@list @t5503 @t5548)) % 47.01/47.28 (define @t5550 () (tptp.hAPP (tptp.c_COMBC @t4435 @t4435 @t4435) @t5478)) % 47.01/47.28 (define @t5551 () (tptp.c_COMBB @t4435 @t5130 @t15)) % 47.01/47.28 (define @t5552 () (tptp.c_List_Orotate1 @t15)) % 47.01/47.28 (define @t5553 () (tptp.hAPP @t5552 @t5057)) % 47.01/47.28 (define @t5554 () (tptp.c_List_Odrop @t76)) % 47.01/47.28 (define @t5555 () (tptp.hAPP (tptp.hAPP @t5554 @t870) @t5047)) % 47.01/47.28 (define @t5556 () (tptp.hAPP @t5554 @t369)) % 47.01/47.28 (define @t5557 () (tptp.hAPP @t5556 @t5047)) % 47.01/47.28 (define @t5558 () (tptp.hAPP @t5554 @t370)) % 47.01/47.28 (define @t5559 () (tptp.hAPP @t5554 @t559)) % 47.01/47.28 (define @t5560 () (tptp.hAPP @t5559 @t5047)) % 47.01/47.28 (define @t5561 () (tptp.c_List_Odrop @t15)) % 47.01/47.28 (define @t5562 () (tptp.hAPP @t5554 @t488)) % 47.01/47.28 (define @t5563 () (tptp.hAPP @t5562 @t5047)) % 47.01/47.28 (define @t5564 () (tptp.hAPP @t5561 @t260)) % 47.01/47.28 (define @t5565 () (tptp.hAPP @t5564 @t5057)) % 47.01/47.28 (define @t5566 () (tptp.hAPP @t5226 @t5565)) % 47.01/47.28 (define @t5567 () (tptp.c_List_Orotate1 @t76)) % 47.01/47.28 (define @t5568 () (tptp.hAPP @t5567 @t5047)) % 47.01/47.28 (define @t5569 () (tptp.hAPP @t5556 @t5335)) % 47.01/47.28 (define @t5570 () (tptp.c_List_Obutlast @t76 @t5557)) % 47.01/47.28 (define @t5571 () (tptp.hAPP @t5556 @t5115)) % 47.01/47.28 (define @t5572 () (tptp.hAPP @t1316 @t559)) % 47.01/47.28 (define @t5573 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 47.01/47.28 (define @t5574 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 47.01/47.28 (define @t5575 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 47.01/47.28 (define @t5576 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 47.01/47.28 (define @t5577 () (tptp.hAPP @t5044 @t5576)) % 47.01/47.28 (define @t5578 () (tptp.hAPP @t5044 @t5575)) % 47.01/47.28 (define @t5579 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5578) @t5577))) % 47.01/47.28 (define @t5580 () (tptp.hAPP @t5545 @t5555)) % 47.01/47.28 (define @t5581 () (tptp.hAPP @t5095 @t75)) % 47.01/47.28 (define @t5582 () (tptp.hAPP (tptp.hAPP @t5554 @t3436) @t5115)) % 47.01/47.28 (define @t5583 () (tptp.hBOOL (tptp.hAPP @t5108 @t1449))) % 47.01/47.28 (define @t5584 () (@list @t5401 @t5046 @t5047 @t15 @t76)) % 47.01/47.28 (define @t5585 () (tptp.hAPP @t5224 @t5047)) % 47.01/47.28 (define @t5586 () (tptp.c_List_Ohd @t76)) % 47.01/47.28 (define @t5587 () (tptp.hAPP @t5586 @t5557)) % 47.01/47.28 (define @t5588 () (@list @t369 @t76 @t5047)) % 47.01/47.28 (define @t5589 () (tptp.hAPP @t5586 @t5047)) % 47.01/47.28 (define @t5590 () (tptp.hAPP @t5586 @t5493)) % 47.01/47.28 (define @t5591 () (=> @t5414 (= @t5590 @t5589))) % 47.01/47.28 (define @t5592 () (@list @t5046 @t76 @t5047)) % 47.01/47.28 (define @t5593 () (tptp.c_List_Ohd @t15)) % 47.01/47.28 (define @t5594 () (tptp.hAPP @t5593 @t5057)) % 47.01/47.28 (define @t5595 () (@list @t15 @t5057)) % 47.01/47.28 (define @t5596 () (tptp.hAPP @t5105 @t5589)) % 47.01/47.28 (define @t5597 () (tptp.c_List_Otl @t76)) % 47.01/47.28 (define @t5598 () (tptp.hAPP @t5597 @t5047)) % 47.01/47.28 (define @t5599 () (tptp.hAPP @t5491 @t5598)) % 47.01/47.28 (define @t5600 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t369 @t5052)) % 47.01/47.28 (define @t5601 () (tptp.c_List_Orotate @t76 @t369)) % 47.01/47.28 (define @t5602 () (tptp.hAPP @t5601 @t5047)) % 47.01/47.28 (define @t5603 () (tptp.hAPP @t5597 @t5557)) % 47.01/47.28 (define @t5604 () (tptp.hAPP @t5556 @t5598)) % 47.01/47.28 (define @t5605 () (tptp.c_List_Orotate @t15 @t260)) % 47.01/47.28 (define @t5606 () (tptp.hAPP @t5605 @t5057)) % 47.01/47.28 (define @t5607 () (tptp.c_Fun_Oid @t4435)) % 47.01/47.28 (define @t5608 () (tptp.hAPP @t5567 @t5602)) % 47.01/47.28 (define @t5609 () (tptp.hAPP @t5213 @t5598)) % 47.01/47.28 (define @t5610 () (tptp.c_List_Otl @t15)) % 47.01/47.28 (define @t5611 () (= @t5602 @t5047)) % 47.01/47.28 (define @t5612 () (tptp.c_List_Ofoldl @t15 @t71 @t2 @t290)) % 47.01/47.28 (define @t5613 () (tptp.c_List_Ofoldl @t15 @t15 @t1223 @t624)) % 47.01/47.28 (define @t5614 () (tptp.class_Groups_Omonoid__add @t15)) % 47.01/47.28 (define @t5615 () (@list @t5170 @t128 @t47 @t15)) % 47.01/47.28 (define @t5616 () (tptp.hAPP @t5459 @t47)) % 47.01/47.28 (define @t5617 () (tptp.hAPP @t5616 @t5057)) % 47.01/47.28 (define @t5618 () (tptp.hAPP @t5612 @t5057)) % 47.01/47.28 (define @t5619 () (tptp.c_List_Oappend @t71)) % 47.01/47.28 (define @t5620 () (tptp.hAPP (tptp.hAPP @t5619 @t5057) @t5054)) % 47.01/47.28 (define @t5621 () (tptp.c_List_Ofoldl @t71 @t15 (tptp.hAPP @t1038 @t2) @t128)) % 47.01/47.28 (define @t5622 () (tptp.hAPP (tptp.hAPP @t4856 @t128) @t5240)) % 47.01/47.28 (define @t5623 () (@list @t5057 @t128 @t2 @t71 @t15)) % 47.01/47.28 (define @t5624 () (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t2674 @t47) @t5057)) % 47.01/47.28 (define @t5625 () (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t2771 @t47) @t5057)) % 47.01/47.28 (define @t5626 () (tptp.hAPP @t5285 @t5057)) % 47.01/47.28 (define @t5627 () (@list @t2 @t5057 @t71 @t15)) % 47.01/47.28 (define @t5628 () (tptp.c_List_Olinorder__class_Oinsort__key @t15 @t15 @t237)) % 47.01/47.28 (define @t5629 () (tptp.hAPP @t5628 @t47)) % 47.01/47.28 (define @t5630 () (tptp.hAPP @t5095 @t935)) % 47.01/47.28 (define @t5631 () (tptp.c_List_Olinorder__class_Oinsort__key @t15 @t71 @t2)) % 47.01/47.28 (define @t5632 () (tptp.hAPP @t5631 @t47)) % 47.01/47.28 (define @t5633 () (tptp.c_List_Olinorder__class_Oinsort__key @t71 @t15 @t2)) % 47.01/47.28 (define @t5634 () (tptp.hAPP @t5633 @t47)) % 47.01/47.28 (define @t5635 () (tptp.hAPP @t5634 @t5461)) % 47.01/47.28 (define @t5636 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t69) @t411))) % 47.01/47.28 (define @t5637 () (tptp.hAPP @t5629 @t5057)) % 47.01/47.28 (define @t5638 () (tptp.hAPP @t5633 @t128)) % 47.01/47.28 (define @t5639 () (tptp.hAPP @t5634 @t5057)) % 47.01/47.28 (define @t5640 () (tptp.hAPP @t5628 @t128)) % 47.01/47.28 (define @t5641 () (tptp.hAPP @t5632 @t5057)) % 47.01/47.28 (define @t5642 () (@list @t5057 @t47 @t2 @t15 @t71)) % 47.01/47.28 (define @t5643 () (tptp.hAPP tptp.c_Nat_OSuc @t5058)) % 47.01/47.28 (define @t5644 () (tptp.hAPP @t5631 @t290)) % 47.01/47.28 (define @t5645 () (tptp.hAPP @t5644 @t5057)) % 47.01/47.28 (define @t5646 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t71 @t15 @t2 @t47 @t5057)) % 47.01/47.28 (define @t5647 () (tptp.hAPP @t85 @t5626)) % 47.01/47.28 (define @t5648 () (tptp.hBOOL (tptp.hAPP @t2538 @t5647))) % 47.01/47.28 (define @t5649 () (@list @t5057 @t71 @t47 @t2 @t15)) % 47.01/47.28 (define @t5650 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t15 @t15 @t237 @t47 @t5057)) % 47.01/47.28 (define @t5651 () (tptp.c_List_Olast @t76 @t5047)) % 47.01/47.28 (define @t5652 () (tptp.c_List_Olast @t76 @t5370)) % 47.01/47.28 (define @t5653 () (tptp.c_List_Olast @t76 @t5493)) % 47.01/47.28 (define @t5654 () (=> @t5515 (= @t5653 @t5651))) % 47.01/47.28 (define @t5655 () (=> @t5516 (= @t5653 (tptp.c_List_Olast @t76 @t5046)))) % 47.01/47.28 (define @t5656 () (tptp.c_List_Olast @t76 @t5115)) % 47.01/47.28 (define @t5657 () (=> @t5413 (= @t5656 @t75))) % 47.01/47.28 (define @t5658 () (=> @t5414 (= @t5656 @t5651))) % 47.01/47.28 (define @t5659 () (@var "V_as_2" $$unsorted)) % 47.01/47.28 (define @t5660 () (@var "B_l" $$unsorted)) % 47.01/47.28 (define @t5661 () (= @t290 @t5408)) % 47.01/47.28 (define @t5662 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t15 @t5142) (tptp.hAPP @t5141 @t3808)) @t5057)) % 47.01/47.28 (define @t5663 () (tptp.c_List_Omap @t15 @t71)) % 47.01/47.28 (define @t5664 () (tptp.hAPP @t5663 @t2)) % 47.01/47.28 (define @t5665 () (tptp.c_Fun_Oinj__on @t4435 @t5300 @t5664 @t5183)) % 47.01/47.28 (define @t5666 () (tptp.c_List_Olast @t15 @t5057)) % 47.01/47.28 (define @t5667 () (tptp.hAPP @t5664 @t5057)) % 47.01/47.28 (define @t5668 () (@list @t2 @t71 @t15 @t5057)) % 47.01/47.28 (define @t5669 () (tptp.c_List_Omap @t184 @t71)) % 47.01/47.28 (define @t5670 () (tptp.hAPP @t5669 @t2)) % 47.01/47.28 (define @t5671 () (tptp.hAPP @t5670 @t5057)) % 47.01/47.28 (define @t5672 () (tptp.c_List_Omap @t71 @t15)) % 47.01/47.28 (define @t5673 () (tptp.hAPP @t5672 @t2)) % 47.01/47.28 (define @t5674 () (tptp.hAPP @t5673 @t5057)) % 47.01/47.28 (define @t5675 () (@list @t5057 @t2 @t71 @t260 @t15)) % 47.01/47.28 (define @t5676 () (@list @t5057 @t2 @t15 @t71)) % 47.01/47.28 (define @t5677 () (= @t5057 @t5464)) % 47.01/47.28 (define @t5678 () (@list @t5057 @t2 @t71 @t15)) % 47.01/47.28 (define @t5679 () (tptp.hAPP (tptp.hAPP @t5672 @t1) @t5057)) % 47.01/47.28 (define @t5680 () (tptp.hAPP @t5314 @t5679)) % 47.01/47.28 (define @t5681 () (tptp.hAPP @t5314 @t5674)) % 47.01/47.28 (define @t5682 () (@list @t5057 @t1 @t2 @t71 @t15)) % 47.01/47.28 (define @t5683 () (tptp.tc_List_Olist @t184)) % 47.01/47.28 (define @t5684 () (tptp.hAPP @t5301 @t5057)) % 47.01/47.28 (define @t5685 () (tptp.c_List_Omap @t184 @t15)) % 47.01/47.28 (define @t5686 () (tptp.c_List_Otake @t71)) % 47.01/47.28 (define @t5687 () (tptp.hAPP @t5686 @t260)) % 47.01/47.28 (define @t5688 () (tptp.hAPP @t5673 @t5054)) % 47.01/47.28 (define @t5689 () (= @t5674 @t5688)) % 47.01/47.28 (define @t5690 () (@list @t5054 @t5057 @t2 @t15 @t71)) % 47.01/47.28 (define @t5691 () (tptp.hAPP @t5664 @t5054)) % 47.01/47.28 (define @t5692 () (= (= @t5667 @t5691) @t5160)) % 47.01/47.28 (define @t5693 () (@list @t5054 @t5057 @t2 @t71 @t15)) % 47.01/47.29 (define @t5694 () (tptp.c_List_Omap @t15 @t15)) % 47.01/47.29 (define @t5695 () (tptp.hAPP @t5694 @t237)) % 47.01/47.29 (define @t5696 () (tptp.tc_fun @t3973 @t2508)) % 47.01/47.29 (define @t5697 () (tptp.hAPP (tptp.c_List_Omap @t3973 @t71) @t1)) % 47.01/47.29 (define @t5698 () (tptp.hAPP @t5685 @t2)) % 47.01/47.29 (define @t5699 () (tptp.hAPP @t5288 (tptp.hAPP @t5698 @t5057))) % 47.01/47.29 (define @t5700 () (tptp.c_List_Ozip @t71 @t184)) % 47.01/47.29 (define @t5701 () (tptp.hAPP (tptp.c_List_Omap @t3891 @t15) @t2)) % 47.01/47.29 (define @t5702 () (tptp.tc_fun @t3973 @t3891)) % 47.01/47.29 (define @t5703 () (tptp.tc_fun @t3973 @t184)) % 47.01/47.29 (define @t5704 () (tptp.tc_fun @t184 @t2508)) % 47.01/47.29 (define @t5705 () (tptp.hAPP (tptp.c_List_Odrop @t71) @t260)) % 47.01/47.29 (define @t5706 () (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t5506)) % 47.01/47.29 (define @t5707 () (tptp.hAPP @t5685 @t4638)) % 47.01/47.29 (define @t5708 () (tptp.hAPP @t5669 @t1)) % 47.01/47.29 (define @t5709 () (tptp.c_List_Odistinct @t71)) % 47.01/47.29 (define @t5710 () (tptp.c_List_Omonoid__add__class_Olistsum @t71)) % 47.01/47.29 (define @t5711 () (tptp.hAPP @t5710 @t5667)) % 47.01/47.29 (define @t5712 () (tptp.c_Nitpick_Osetsum_H @t15 @t71 @t2 @t51)) % 47.01/47.29 (define @t5713 () (tptp.tc_List_Olist @t4435)) % 47.01/47.29 (define @t5714 () (tptp.c_List_Omap @t4435 @t4435)) % 47.01/47.29 (define @t5715 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t496)) % 47.01/47.29 (define @t5716 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t260)) % 47.01/47.29 (define @t5717 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t488)) % 47.01/47.29 (define @t5718 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t369)) % 47.01/47.29 (define @t5719 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 47.01/47.29 (define @t5720 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t520)) % 47.01/47.29 (define @t5721 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t128)) % 47.01/47.29 (define @t5722 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1476 @t128) @t2495))) % 47.01/47.29 (define @t5723 () (tptp.hAPP (tptp.c_List_Omap @t2508 @t15) @t4128)) % 47.01/47.29 (define @t5724 () (= @t5058 @t5302)) % 47.01/47.29 (define @t5725 () (@list @t5054 @t71 @t5057 @t15)) % 47.01/47.29 (define @t5726 () (tptp.hAPP (tptp.c_List_Omap @t2508 @t71) @t4127)) % 47.01/47.29 (define @t5727 () (tptp.hAPP @t5726 @t5170)) % 47.01/47.29 (define @t5728 () (tptp.hAPP @t5723 @t5170)) % 47.01/47.29 (define @t5729 () (tptp.hAPP @t5226 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5142 @t15) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t15)) @t5057))) % 47.01/47.29 (define @t5730 () (tptp.c_Random_Opick @t15 @t5057)) % 47.01/47.29 (define @t5731 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5142 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t15)) @t5057))) % 47.01/47.29 (define @t5732 () (@list @t5057 @t15 @t1144)) % 47.01/47.29 (define @t5733 () (@list @t5057 @t2 @t15)) % 47.01/47.29 (define @t5734 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t15) @t2)) % 47.01/47.29 (define @t5735 () (tptp.c_List_Oupto @t469 @t1490)) % 47.01/47.29 (define @t5736 () (@list @t543 @t5057 @t15)) % 47.01/47.29 (define @t5737 () (tptp.tc_prod @t15 @t4786)) % 47.01/47.29 (define @t5738 () (tptp.hAPP (tptp.c_COMBB @t15 (tptp.tc_fun @t4786 @t5737) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t15 @t4786))) % 47.01/47.29 (define @t5739 () (tptp.c_Product__Type_Oscomp @t4786 tptp.tc_Code__Numeral_Ocode__numeral @t4786 @t5737)) % 47.01/47.29 (define @t5740 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t558)) % 47.01/47.29 (define @t5741 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t488)) % 47.01/47.29 (define @t5742 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t369)) % 47.01/47.29 (define @t5743 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t47)) % 47.01/47.29 (define @t5744 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t496)) % 47.01/47.29 (define @t5745 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t260)) % 47.01/47.29 (define @t5746 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t559)) % 47.01/47.29 (define @t5747 () (tptp.hAPP (tptp.hAPP @t3809 @t369) @t488)) % 47.01/47.29 (define @t5748 () (tptp.class_Groups_Omonoid__add @t71)) % 47.01/47.29 (define @t5749 () (@var "V_xq_2" $$unsorted)) % 47.01/47.29 (define @t5750 () (@var "V_no_2" $$unsorted)) % 47.01/47.29 (define @t5751 () (tptp.hAPP @t5226 @t5750)) % 47.01/47.29 (define @t5752 () (@var "V_yes_2" $$unsorted)) % 47.01/47.29 (define @t5753 () (tptp.hAPP @t5226 @t5752)) % 47.01/47.29 (define @t5754 () (tptp.c_List_Opartition @t15 @t35 @t5057)) % 47.01/47.29 (define @t5755 () (= @t5754 (tptp.hAPP (tptp.hAPP @t5059 @t5752) @t5750))) % 47.01/47.29 (define @t5756 () (@list @t5750 @t5752 @t5057 @t35 @t15)) % 47.01/47.29 (define @t5757 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t5066)) % 47.01/47.29 (define @t5758 () (tptp.c_List_Olistsp @t15 (tptp.hAPP (tptp.hAPP @t962 @t622) @t1034))) % 47.01/47.29 (define @t5759 () (tptp.c_List_Olistsp @t15 @t51)) % 47.01/47.29 (define @t5760 () (tptp.hBOOL (tptp.hAPP @t5759 @t5057))) % 47.01/47.29 (define @t5761 () (tptp.c_List_Olistsp @t15 @t48)) % 47.01/47.29 (define @t5762 () (tptp.c_List_Olistsp @t15 @t964)) % 47.01/47.29 (define @t5763 () (tptp.tc_fun @t4449 @t4449)) % 47.01/47.29 (define @t5764 () (tptp.tc_fun @t4435 @t5763)) % 47.01/47.29 (define @t5765 () (@list @t5057 @t47 @t35 @t15)) % 47.01/47.29 (define @t5766 () (tptp.hAPP @t5128 @t1490)) % 47.01/47.29 (define @t5767 () (tptp.hBOOL (tptp.hAPP @t4137 @t3))) % 47.01/47.29 (define @t5768 () (tptp.hAPP @t3850 @t3)) % 47.01/47.29 (define @t5769 () (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5057 @t5054)) % 47.01/47.29 (define @t5770 () (@list @t5054 @t5057 @t35 @t71 @t15)) % 47.01/47.29 (define @t5771 () (@var "V_bs_2" $$unsorted)) % 47.01/47.29 (define @t5772 () (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t290 @t294)) % 47.01/47.29 (define @t5773 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t5190 @t1796)) (tptp.hAPP @t5305 @t1796)))) % 47.01/47.29 (define @t5774 () (tptp.hAPP @t816 @t1796)) % 47.01/47.29 (define @t5775 () (@list @t1796 @t5054 @t5057 @t35 @t71 @t15)) % 47.01/47.29 (define @t5776 () (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5365 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t71 @t5054) @t1144) @t128))) % 47.01/47.29 (define @t5777 () (tptp.hAPP @t5044 @t290)) % 47.01/47.29 (define @t5778 () (= @t5777 (tptp.hAPP @t5301 @t294))) % 47.01/47.29 (define @t5779 () (tptp.c_List_Oremdups @t15 @t5057)) % 47.01/47.29 (define @t5780 () (tptp.c_List_Oremdups @t76 @t5047)) % 47.01/47.29 (define @t5781 () (= @t47 @t5408)) % 47.01/47.29 (define @t5782 () (tptp.c_List_Oremdups @t15 @t47)) % 47.01/47.29 (define @t5783 () (= @t5779 @t5057)) % 47.01/47.29 (define @t5784 () (tptp.hAPP @t5044 @t5779)) % 47.01/47.29 (define @t5785 () (tptp.c_List_Oremdups @t15 @t5124)) % 47.01/47.29 (define @t5786 () (@var "V_xss_2" $$unsorted)) % 47.01/47.29 (define @t5787 () (tptp.hAPP @t5254 @t5786)) % 47.01/47.29 (define @t5788 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4435 @t54)) % 47.01/47.29 (define @t5789 () (tptp.c_List_Oconcat @t15 @t5786)) % 47.01/47.29 (define @t5790 () (@list @t5786 @t15)) % 47.01/47.29 (define @t5791 () (tptp.c_List_Oconcat @t76 @t5047)) % 47.01/47.29 (define @t5792 () (tptp.c_List_Olinorder__class_Osort__key @t15 @t71 @t2 @t5057)) % 47.01/47.29 (define @t5793 () (= @t3 @t5408)) % 47.01/47.29 (define @t5794 () (tptp.hAPP @t5128 @t3)) % 47.01/47.29 (define @t5795 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5794 @t5787)) @t5793))) % 47.01/47.29 (define @t5796 () (tptp.hAPP (tptp.c_List_Omap @t5300 @t4435) @t5673)) % 47.01/47.29 (define @t5797 () (tptp.hAPP @t5796 @t5057)) % 47.01/47.29 (define @t5798 () (tptp.hAPP (tptp.c_List_Omap @t4435 tptp.tc_Nat_Onat) @t5044)) % 47.01/47.29 (define @t5799 () (tptp.hAPP @t5254 @t5057)) % 47.01/47.29 (define @t5800 () (tptp.c_List_Oconcat @t15 @t5057)) % 47.01/47.29 (define @t5801 () (tptp.c_List_Olinorder__class_Osort__key @t15 @t15 @t237 @t5057)) % 47.01/47.29 (define @t5802 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 @t3) (tptp.hAPP (tptp.c_List_Oset @t4449) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4435 @t4435) @t5057) @t5054)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5082 @t5073) @t3))))) % 47.01/47.29 (define @t5803 () (tptp.c_Nat_Osize__class_Osize @t5713)) % 47.01/47.29 (define @t5804 () (tptp.hAPP @t5803 @t5057)) % 47.01/47.29 (define @t5805 () (= @t5804 (tptp.hAPP @t5803 @t5054))) % 47.01/47.29 (define @t5806 () (= @t5800 (tptp.c_List_Oconcat @t15 @t5054))) % 47.01/47.29 (define @t5807 () (tptp.c_List_Omap @t71 @t4435)) % 47.01/47.29 (define @t5808 () (tptp.tc_fun @t4435 @t5713)) % 47.01/47.29 (define @t5809 () (tptp.c_List_Omap @t4435 @t5713)) % 47.01/47.29 (define @t5810 () (tptp.c_List_Olist_ONil @t4435)) % 47.01/47.29 (define @t5811 () (tptp.c_List_Olist_OCons @t4435)) % 47.01/47.29 (define @t5812 () (tptp.c_List_Oconcat @t4435 (tptp.hAPP (tptp.hAPP @t5809 (tptp.c_List_Olist_Olist__case @t5713 @t15 @t5810 (tptp.hAPP (tptp.c_COMBK @t5808 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5713 @t5713) @t5811) @t5810)))) @t5786))) % 47.01/47.29 (define @t5813 () (tptp.c_List_Oconcat @t15 (tptp.hAPP (tptp.hAPP @t5714 (tptp.c_List_Olist_Olist__case @t4435 @t15 @t5408 (tptp.hAPP (tptp.hAPP @t5551 (tptp.c_COMBK @t4435 @t4435)) @t5449))) @t5786))) % 47.01/47.29 (define @t5814 () (tptp.hAPP (tptp.hAPP @t5811 @t5124) @t5786)) % 47.01/47.29 (define @t5815 () (= (tptp.c_List_Otranspose @t15 @t5814) (tptp.hAPP (tptp.hAPP @t5811 (tptp.hAPP @t5123 @t5813)) (tptp.c_List_Otranspose @t15 (tptp.hAPP (tptp.hAPP @t5811 @t5057) @t5812))))) % 47.01/47.29 (define @t5816 () (@list @t5786 @t5057 @t47 @t15)) % 47.01/47.29 (define @t5817 () (tptp.hAPP (tptp.hAPP @t5094 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t4435 tptp.tc_HOL_Obool) tptp.c_fequal) @t5408))) % 47.01/47.29 (define @t5818 () (tptp.c_List_Ofilter @t4435 @t5817)) % 47.01/47.29 (define @t5819 () (tptp.hAPP @t5818 @t5786)) % 47.01/47.29 (define @t5820 () (tptp.c_List_Omap @t4435 @t15)) % 47.01/47.29 (define @t5821 () (tptp.c_List_Ofilter @t15 @t1796)) % 47.01/47.29 (define @t5822 () (@list @t5057 @t1796 @t15)) % 47.01/47.29 (define @t5823 () (tptp.c_List_Ofilter @t15 @t35)) % 47.01/47.29 (define @t5824 () (tptp.hAPP @t5823 @t5057)) % 47.01/47.29 (define @t5825 () (tptp.hAPP (tptp.c_Fun_Ocomp @t15 tptp.tc_HOL_Obool @t71 @t35) @t2)) % 47.01/47.29 (define @t5826 () (tptp.hAPP (tptp.c_List_Ofilter @t71 @t5825) @t5057)) % 47.01/47.29 (define @t5827 () (tptp.hAPP @t5823 @t5674)) % 47.01/47.29 (define @t5828 () (@list @t5057 @t2 @t71 @t35 @t15)) % 47.01/47.29 (define @t5829 () (not @t168)) % 47.01/47.29 (define @t5830 () (@list @t5057 @t35 @t15)) % 47.01/47.29 (define @t5831 () (tptp.hAPP @t5044 @t5824)) % 47.01/47.29 (define @t5832 () (tptp.hAPP @t5226 @t5824)) % 47.01/47.29 (define @t5833 () (tptp.c_List_Ofilter @t15 @t34)) % 47.01/47.29 (define @t5834 () (tptp.hAPP @t5833 @t5057)) % 47.01/47.29 (define @t5835 () (@list @t5057 @t15 @t47 @t35)) % 47.01/47.29 (define @t5836 () (tptp.hAPP @t5823 @t5124)) % 47.01/47.29 (define @t5837 () (tptp.hAPP @t5823 @t5054)) % 47.01/47.29 (define @t5838 () (@list @t5054 @t5057 @t35 @t15)) % 47.01/47.29 (define @t5839 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t15 tptp.c_fNot)) % 47.01/47.29 (define @t5840 () (@var "V_xss" $$unsorted)) % 47.01/47.29 (define @t5841 () (tptp.c_List_Ofilter @t4435 (tptp.hAPP (tptp.hAPP @t5069 @t1379) @t5044))) % 47.01/47.29 (define @t5842 () (tptp.hAPP @t5841 @t5057)) % 47.01/47.29 (define @t5843 () (tptp.hAPP @t5820 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 tptp.tc_Nat_Onat @t15) @t5188) @t1144))) % 47.01/47.29 (define @t5844 () (tptp.c_List_Otranspose @t15 @t5057)) % 47.01/47.29 (define @t5845 () (tptp.c_List_Onth @t4435)) % 47.01/47.29 (define @t5846 () (tptp.hAPP (tptp.hAPP @t5845 @t5844) @t1144)) % 47.01/47.29 (define @t5847 () (tptp.hAPP @t5803 @t5844)) % 47.01/47.29 (define @t5848 () (tptp.hBOOL (tptp.hAPP @t1379 @t5847))) % 47.01/47.29 (define @t5849 () (@list @t128 @t5057 @t15)) % 47.01/47.29 (define @t5850 () (tptp.c_List_Osublist @t15 @t5057 @t543)) % 47.01/47.29 (define @t5851 () (tptp.c_Wellfounded_Oaccp @t5713 (tptp.c_List_Otranspose__rel @t15))) % 47.01/47.29 (define @t5852 () (tptp.hAPP (tptp.hAPP @t5811 @t5408) @t5786)) % 47.01/47.29 (define @t5853 () (@var "V_is_2" $$unsorted)) % 47.01/47.29 (define @t5854 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 47.01/47.29 (define @t5855 () (tptp.hAPP (tptp.c_List_Ozip @t15 tptp.tc_Nat_Onat) @t5057)) % 47.01/47.29 (define @t5856 () (tptp.c_Product__Type_Osnd @t15 tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5857 () (tptp.tc_prod @t15 tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5858 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5857) @t35)) % 47.01/47.29 (define @t5859 () (tptp.hAPP (tptp.c_List_Omap @t5857 @t15) (tptp.c_Product__Type_Ofst @t15 tptp.tc_Nat_Onat))) % 47.01/47.29 (define @t5860 () (tptp.hAPP (tptp.c_List_Ofilter @t5142 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t15 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t54 tptp.tc_Code__Numeral_Ocode__numeral) @t2402) @t4787))) @t5057)) % 47.01/47.29 (define @t5861 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 @t4435) @t2778) @t5044)) % 47.01/47.29 (define @t5862 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 @t5300)) % 47.01/47.29 (define @t5863 () (tptp.hAPP @t5862 @t2778)) % 47.01/47.29 (define @t5864 () (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5057 @t290)) % 47.01/47.29 (define @t5865 () (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t1223 @t290) @t5057)) % 47.01/47.29 (define @t5866 () (tptp.c_List_Ofoldr @t15 @t15 @t1223 @t5057 @t624)) % 47.01/47.29 (define @t5867 () (@list @t5057 @t290 @t15)) % 47.01/47.29 (define @t5868 () (tptp.c_List_Oupt @t520 @t5058)) % 47.01/47.29 (define @t5869 () (tptp.hAPP @t5855 @t5868)) % 47.01/47.29 (define @t5870 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2379 @t5857) @t1476)) % 47.01/47.29 (define @t5871 () (tptp.c_COMBC @t5857 @t1866 tptp.tc_HOL_Obool)) % 47.01/47.29 (define @t5872 () (tptp.c_List_Ofilter @t5857 (tptp.hAPP (tptp.hAPP @t5871 (tptp.hAPP @t5870 @t5856)) @t51))) % 47.01/47.29 (define @t5873 () (tptp.c_List_Oupt @t1144 @t1374)) % 47.01/47.29 (define @t5874 () (tptp.hAPP @t5317 @t5873)) % 47.01/47.29 (define @t5875 () (tptp.c_List_Oupt @t559 @t561)) % 47.01/47.29 (define @t5876 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5877 () (tptp.hAPP @t5876 @t5875)) % 47.01/47.29 (define @t5878 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5879 () (tptp.c_List_Oupt @t559 @t1416)) % 47.01/47.29 (define @t5880 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5881 () (=> @t563 (= @t5879 (tptp.hAPP @t5877 (tptp.hAPP (tptp.hAPP @t5880 @t561) @t5878))))) % 47.01/47.29 (define @t5882 () (= @t5875 @t5878)) % 47.01/47.29 (define @t5883 () (=> @t874 (= @t5875 (tptp.hAPP (tptp.hAPP @t5880 @t559) (tptp.c_List_Oupt @t870 @t561))))) % 47.01/47.29 (define @t5884 () (tptp.c_List_Oupt @t496 @t260)) % 47.01/47.29 (define @t5885 () (tptp.hAPP @t3435 @t369)) % 47.01/47.29 (define @t5886 () (tptp.hAPP @t3435 @t488)) % 47.01/47.29 (define @t5887 () (tptp.c_List_Oupt @t5886 @t5885)) % 47.01/47.29 (define @t5888 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5886) @t5885))) % 47.01/47.29 (define @t5889 () (tptp.c_List_Oupt @t520 @t260)) % 47.01/47.29 (define @t5890 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t15)) % 47.01/47.29 (define @t5891 () (tptp.hAPP @t1656 (tptp.hAPP @t5317 @t5884))) % 47.01/47.29 (define @t5892 () (tptp.hAPP (tptp.hAPP @t5890 @t2) @t5884)) % 47.01/47.29 (define @t5893 () (tptp.hAPP @t5314 @t5892)) % 47.01/47.29 (define @t5894 () (tptp.hAPP @t5845 @t5057)) % 47.01/47.29 (define @t5895 () (= @t5057 @t5810)) % 47.01/47.29 (define @t5896 () (tptp.c_List_Oremove1 @t15 @t290 @t5057)) % 47.01/47.29 (define @t5897 () (tptp.c_List_Olinorder__class_Osorted @t71 @t5667)) % 47.01/47.29 (define @t5898 () (tptp.c_List_Olinorder__class_Osorted @t15 @t5057)) % 47.01/47.29 (define @t5899 () (tptp.c_List_Olinorder__class_Osorted @t76 @t5047)) % 47.01/47.29 (define @t5900 () (tptp.hAPP @t5121 @t5170)) % 47.01/47.29 (define @t5901 () (tptp.hAPP @t5354 @t5401)) % 47.01/47.29 (define @t5902 () (=> (= @t5240 @t5505) @t5160)) % 47.01/47.29 (define @t5903 () (tptp.c_List_Olinorder__class_Osorted @t15 @t5054)) % 47.01/47.29 (define @t5904 () (tptp.c_List_Olinorder__class_Osorted @t15 @t5674)) % 47.01/47.29 (define @t5905 () (@list @t47 @t5057 @t2 @t71 @t15)) % 47.01/47.29 (define @t5906 () (@list @t5057 @t47 @t2 @t71 @t15)) % 47.01/47.29 (define @t5907 () (tptp.hAPP @t1 @t5057)) % 47.01/47.29 (define @t5908 () (tptp.c_List_Ofilter @t71 @t35)) % 47.01/47.29 (define @t5909 () (tptp.hAPP @t5908 @t5057)) % 47.01/47.29 (define @t5910 () (forall @t7 (=> @t5263 @t2366))) % 47.01/47.29 (define @t5911 () (tptp.c_List_Olinorder__class_Osorted @t15 @t5124)) % 47.01/47.29 (define @t5912 () (tptp.hBOOL (tptp.hAPP @t1535 @t900))) % 47.01/47.29 (define @t5913 () (tptp.hBOOL (tptp.hAPP @t871 @t5052))) % 47.01/47.29 (define @t5914 () (@list @t561 @t559 @t5047 @t76)) % 47.01/47.29 (define @t5915 () (tptp.hAPP @t5894 @t1144)) % 47.01/47.29 (define @t5916 () (tptp.hAPP @t5841 @t5844)) % 47.01/47.29 (define @t5917 () (tptp.hBOOL (tptp.hAPP @t1379 @t5804))) % 47.01/47.29 (define @t5918 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5919 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5918 (tptp.hAPP @t5798 @t5057)))) % 47.01/47.29 (define @t5920 () (@list @t1144 @t5057 @t15)) % 47.01/47.29 (define @t5921 () (tptp.c_List_Orev @t15)) % 47.01/47.29 (define @t5922 () (tptp.hAPP @t5921 @t5057)) % 47.01/47.29 (define @t5923 () (tptp.c_List_Orev @t76)) % 47.01/47.29 (define @t5924 () (= @t5057 @t5438)) % 47.01/47.29 (define @t5925 () (tptp.hAPP @t5923 @t5047)) % 47.01/47.29 (define @t5926 () (tptp.c_List_Orev @t71)) % 47.01/47.29 (define @t5927 () (tptp.hAPP @t5926 @t5057)) % 47.01/47.29 (define @t5928 () (tptp.hAPP @t5921 @t5674)) % 47.01/47.29 (define @t5929 () (tptp.hAPP @t5921 @t5054)) % 47.01/47.29 (define @t5930 () (tptp.hAPP @t5926 @t5054)) % 47.01/47.29 (define @t5931 () (tptp.hAPP @t5337 @t559)) % 47.01/47.29 (define @t5932 () (@list @t5047 @t559 @t76)) % 47.01/47.29 (define @t5933 () (tptp.c_List_Ofoldr @t15 @t15 @t2771 @t5057 @t128)) % 47.01/47.29 (define @t5934 () (tptp.c_List_OtakeWhile @t15 @t35 @t5057)) % 47.01/47.29 (define @t5935 () (tptp.hAPP @t5044 @t5934)) % 47.01/47.29 (define @t5936 () (tptp.c_List_OtakeWhile @t15 @t35 @t5124)) % 47.01/47.29 (define @t5937 () (tptp.c_List_OtakeWhile @t15 @t35 @t5498)) % 47.01/47.29 (define @t5938 () (@list @t5054 @t35 @t5057 @t47 @t15)) % 47.01/47.29 (define @t5939 () (@list @t5057 @t35 @t15 @t1374)) % 47.01/47.29 (define @t5940 () (tptp.c_COMBB @t15 tptp.tc_HOL_Obool @t71)) % 47.01/47.29 (define @t5941 () (tptp.hAPP (tptp.hAPP @t5940 (tptp.hAPP @t714 @t393)) @t2)) % 47.01/47.29 (define @t5942 () (tptp.hAPP @t792 @t4637)) % 47.01/47.29 (define @t5943 () (tptp.c_List_OdropWhile @t15 @t35 @t5057)) % 47.01/47.29 (define @t5944 () (tptp.hAPP @t5478 @t5934)) % 47.01/47.29 (define @t5945 () (tptp.hAPP @t5044 @t5943)) % 47.01/47.29 (define @t5946 () (= @t5943 @t5408)) % 47.01/47.29 (define @t5947 () (tptp.c_List_OdropWhile @t15 @t35 @t5124)) % 47.01/47.29 (define @t5948 () (tptp.c_List_OdropWhile @t15 @t35 @t5498)) % 47.01/47.29 (define @t5949 () (tptp.hBOOL (tptp.hAPP @t35 @t5271))) % 47.01/47.29 (define @t5950 () (@list @t35 @t5057 @t15 @t260)) % 47.01/47.29 (define @t5951 () (tptp.c_List_OremoveAll @t15 @t47)) % 47.01/47.29 (define @t5952 () (tptp.hAPP @t5951 @t5057)) % 47.01/47.29 (define @t5953 () (= (tptp.hAPP @t5664 @t5952) (tptp.hAPP (tptp.c_List_OremoveAll @t71 @t69) @t5667))) % 47.01/47.29 (define @t5954 () (tptp.c_List_Oinsert @t15 @t47 @t5057)) % 47.01/47.29 (define @t5955 () (=> @t5252 (= @t5954 @t5124))) % 47.01/47.29 (define @t5956 () (=> @t5245 (= @t5954 @t5057))) % 47.01/47.29 (define @t5957 () (tptp.c_List_OremoveAll @t76 @t75)) % 47.01/47.29 (define @t5958 () (tptp.hAPP @t5957 @t5047)) % 47.01/47.29 (define @t5959 () (tptp.c_List_Oinsert @t76 @t75 @t5047)) % 47.01/47.29 (define @t5960 () (tptp.hAPP @t5957 @t5355)) % 47.01/47.29 (define @t5961 () (tptp.c_List_Oconcat @t15 (tptp.hAPP (tptp.hAPP @t5807 @t2) @t5057))) % 47.01/47.29 (define @t5962 () (tptp.c_List_Omaps @t71 @t15 @t2 @t5057)) % 47.01/47.29 (define @t5963 () (@var "B_zs" $$unsorted)) % 47.01/47.29 (define @t5964 () (tptp.hAPP @t5226 @t5963)) % 47.01/47.29 (define @t5965 () (tptp.hAPP @t5226 @t5173)) % 47.01/47.29 (define @t5966 () (@list @t5963)) % 47.01/47.29 (define @t5967 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t5173) @t5799))) % 47.01/47.29 (define @t5968 () (@list @t5173)) % 47.01/47.29 (define @t5969 () (@var "V_fs_2" $$unsorted)) % 47.01/47.29 (define @t5970 () (tptp.tc_fun @t15 tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t5971 () (tptp.hBOOL (tptp.hAPP @t4118 (tptp.c_List_Omeasures @t15 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5970) @t2) @t5969))))) % 47.01/47.29 (define @t5972 () (tptp.c_List_Omeasures @t15 @t5969)) % 47.01/47.29 (define @t5973 () (tptp.hBOOL (tptp.hAPP @t4118 @t5972))) % 47.01/47.29 (define @t5974 () (@list @t5969 @t15 @t128 @t47 @t2)) % 47.01/47.29 (define @t5975 () (@list @t5969 @t15)) % 47.01/47.29 (define @t5976 () (tptp.tc_List_Olist @t5970)) % 47.01/47.29 (define @t5977 () (tptp.hAPP (tptp.hAPP @t5686 @t5303) @t5054)) % 47.01/47.29 (define @t5978 () (tptp.hAPP (tptp.hAPP @t5210 @t5303) @t5057)) % 47.01/47.29 (define @t5979 () (@var "V_seed_2" $$unsorted)) % 47.01/47.29 (define @t5980 () (@var "V_size_2" $$unsorted)) % 47.01/47.29 (define @t5981 () (@var "V_nrandom_2" $$unsorted)) % 47.01/47.29 (define @t5982 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t387 @t5981) @t5980) @t5979)) % 47.01/47.29 (define @t5983 () (@list @t5054 @t35 @t5057 @t15)) % 47.01/47.29 (define @t5984 () (exists @t5549 (and (= @t5054 (tptp.hAPP @t5504 (tptp.hAPP @t5123 @t5548))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t5226 @t5503))) @t2399)) @t168 (= @t5057 (tptp.hAPP @t5823 @t5548))))) % 47.01/47.29 (define @t5985 () (tptp.hBOOL (tptp.hAPP @t35 @t5191))) % 47.01/47.29 (define @t5986 () (tptp.c_List_Olist__ex @t15 @t35 @t5057)) % 47.01/47.29 (define @t5987 () (= @t5057 (tptp.hAPP (tptp.hAPP @t5478 @t5173) (tptp.hAPP @t5123 @t5963)))) % 47.01/47.29 (define @t5988 () (exists @t7 (and @t5263 @t172))) % 47.01/47.29 (define @t5989 () (@list @t5173 @t5963)) % 47.01/47.29 (define @t5990 () (tptp.c_List_Olist__all @t15 @t35 @t5057)) % 47.01/47.29 (define @t5991 () (tptp.c_List_Olist__ex1 @t15 @t35 @t5057)) % 47.01/47.29 (define @t5992 () (tptp.c_FunDef_Ois__measure @t15 @t2)) % 47.01/47.29 (define @t5993 () (@list @t71 @t2 @t15)) % 47.01/47.29 (define @t5994 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2516)) % 47.01/47.29 (define @t5995 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t5994) @t2) @t1144)) % 47.01/47.29 (define @t5996 () (tptp.hAPP @t47 (tptp.hAPP (tptp.hAPP @t3809 @t1144) @t3808))) % 47.01/47.29 (define @t5997 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t71 @t15 @t47 @t2) @t1144)) % 47.01/47.29 (define @t5998 () (= @t1144 @t3794)) % 47.01/47.29 (define @t5999 () (not @t5998)) % 47.01/47.29 (define @t6000 () (@list @t2 @t47 @t15 @t71 @t1144)) % 47.01/47.29 (define @t6001 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 47.01/47.29 (define @t6002 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5994)) % 47.01/47.29 (define @t6003 () (tptp.tc_fun @t4786 @t6002)) % 47.01/47.29 (define @t6004 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6003)) % 47.01/47.29 (define @t6005 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t4786 @t6002) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t6003) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t6004) @t2) @t5981)) @t5980)) @t5979)) % 47.01/47.29 (define @t6006 () (@list @t5979 @t5980 @t5981 @t2 @t387 @t15 @t71)) % 47.01/47.29 (define @t6007 () (tptp.hAPP @t47 @t1144)) % 47.01/47.29 (define @t6008 () (@list @t1144 @t2 @t47 @t15 @t71)) % 47.01/47.29 (define @t6009 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t15)) % 47.01/47.29 (define @t6010 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t6009) @t2) @t1144)) % 47.01/47.29 (define @t6011 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t71 @t15 @t47 @t2) @t1144)) % 47.01/47.29 (define @t6012 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6009)) % 47.01/47.29 (define @t6013 () (tptp.tc_fun @t4786 @t6012)) % 47.01/47.29 (define @t6014 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6013)) % 47.01/47.29 (define @t6015 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t4786 @t6012) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t6013) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 tptp.tc_Code__Numeral_Ocode__numeral @t6014) @t2) @t5981)) @t5980)) @t5979)) % 47.01/47.29 (define @t6016 () (@var "V_i_1" $$unsorted)) % 47.01/47.29 (define @t6017 () (tptp.c_New__Random__Sequence_Oneg__single @t15)) % 47.01/47.29 (define @t6018 () (@list @t35 @t2 @t15 @t71)) % 47.01/47.29 (define @t6019 () (@list @t5979 @t5980 @t5981 @t47 @t15)) % 47.01/47.29 (define @t6020 () (tptp.c_New__Random__Sequence_Opos__single @t15)) % 47.01/47.29 (define @t6021 () (@list @t6016 @t75 @t76)) % 47.01/47.29 (define @t6022 () (tptp.c_List_Osplice @t76 @t5047 @t5046)) % 47.01/47.29 (define @t6023 () (@var "V_va" $$unsorted)) % 47.01/47.29 (define @t6024 () (tptp.hAPP (tptp.hAPP @t5105 @t1790) @t6023)) % 47.01/47.29 (define @t6025 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2508)) % 47.01/47.29 (define @t6026 () (tptp.tc_fun @t71 @t6025)) % 47.01/47.29 (define @t6027 () (tptp.c_Predicate_Oconversep @t15 @t71 @t1667)) % 47.01/47.29 (define @t6028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1667 @t294) @t290))) % 47.01/47.29 (define @t6029 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6027 @t290) @t294))) % 47.01/47.29 (define @t6030 () (@list @t294 @t290 @t1667 @t71 @t15)) % 47.01/47.29 (define @t6031 () (tptp.c_Predicate_Oconversep @t71 @t15 @t543)) % 47.01/47.29 (define @t6032 () (tptp.c_Predicate_Oconversep @t71 @t15 @t1667)) % 47.01/47.29 (define @t6033 () (tptp.c_Lazy__Sequence_Osingle @t4435)) % 47.01/47.29 (define @t6034 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4435)) % 47.01/47.29 (define @t6035 () (tptp.hAPP (tptp.hAPP @t1924 @t345) @t1877)) % 47.01/47.29 (define @t6036 () (tptp.class_Lazy__Sequence_Osmall__lazy @t15)) % 47.01/47.29 (define @t6037 () (tptp.c_List_Oreplicate @t76 @t369 @t75)) % 47.01/47.29 (define @t6038 () (@list @t75 @t76 @t369)) % 47.01/47.29 (define @t6039 () (tptp.hAPP (tptp.c_List_Ofilter @t15 @t677) @t5057)) % 47.01/47.29 (define @t6040 () (@list @t75 @t369 @t76)) % 47.01/47.29 (define @t6041 () (@var "V_lst_2" $$unsorted)) % 47.01/47.29 (define @t6042 () (tptp.hAPP @t5491 @t6037)) % 47.01/47.29 (define @t6043 () (tptp.hAPP @t2719 @t559)) % 47.01/47.29 (define @t6044 () (tptp.c_List_Oreplicate @t76 @t558 @t75)) % 47.01/47.29 (define @t6045 () (@list @t75 @t558 @t559 @t76)) % 47.01/47.29 (define @t6046 () (tptp.c_List_Oreplicate @t76 @t559 @t75)) % 47.01/47.29 (define @t6047 () (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t5226 (tptp.c_List_Oreplicate @t15 @t260 @t290))))) % 47.01/47.29 (define @t6048 () (@list @t35 @t290 @t260 @t15)) % 47.01/47.29 (define @t6049 () (tptp.c_List_Oreplicate @t15 @t260 @t128)) % 47.01/47.29 (define @t6050 () (tptp.c_List_Oreplicate @t15 @t260 @t47)) % 47.01/47.29 (define @t6051 () (tptp.hAPP @t5823 @t6050)) % 47.01/47.29 (define @t6052 () (@list @t47 @t260 @t15)) % 47.01/47.29 (define @t6053 () (tptp.hAPP @t5226 @t6050)) % 47.01/47.29 (define @t6054 () (=> @t856 (= @t6053 @t384))) % 47.01/47.29 (define @t6055 () (@list @t47 @t15 @t260)) % 47.01/47.29 (define @t6056 () (@var "V_yq_2" $$unsorted)) % 47.01/47.29 (define @t6057 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 47.01/47.29 (define @t6058 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t193 @t559)) % 47.01/47.29 (define @t6059 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t193) @t559))) % 47.01/47.29 (define @t6060 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 47.01/47.29 (define @t6061 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t345 @t1144)) % 47.01/47.29 (define @t6062 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t345) @t1144))) % 47.01/47.29 (define @t6063 () (tptp.c_Wellfounded_Oaccp @t3823 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 47.01/47.29 (define @t6064 () (@var "B_e" $$unsorted)) % 47.01/47.29 (define @t6065 () (@var "V_lazy__sequence" $$unsorted)) % 47.01/47.29 (define @t6066 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t76))) % 47.01/47.29 (define @t6067 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 47.01/47.29 (define @t6068 () (@var "V_lazy__sequence_2" $$unsorted)) % 47.01/47.29 (define @t6069 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t15 @t290 @t6068)) % 47.01/47.29 (define @t6070 () (@var "V_yq" $$unsorted)) % 47.01/47.29 (define @t6071 () (@var "V_xq" $$unsorted)) % 47.01/47.29 (define @t6072 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t15 @t623)) % 47.01/47.29 (define @t6073 () (tptp.c_Lazy__Sequence_Oyield @t15)) % 47.01/47.29 (define @t6074 () (tptp.hAPP @t6073 @t5749)) % 47.01/47.29 (define @t6075 () (tptp.c_Nat_Osize__class_Osize @t6009)) % 47.01/47.29 (define @t6076 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 @t6009) @t1274)) % 47.01/47.29 (define @t6077 () (tptp.c_COMBC @t6009 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t6078 () (tptp.tc_fun @t6009 tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t6079 () (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t6009 tptp.tc_Nat_Onat)) % 47.01/47.29 (define @t6080 () (tptp.tc_prod @t15 @t6009)) % 47.01/47.29 (define @t6081 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t15 @t543)) % 47.01/47.29 (define @t6082 () (tptp.tc_fun @t6009 @t2202)) % 47.01/47.29 (define @t6083 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t71)) % 47.01/47.29 (define @t6084 () (tptp.hAPP @t5462 @t6068)) % 47.01/47.29 (define @t6085 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t71 @t290 @t6068)) % 47.01/47.29 (define @t6086 () (@list @t6068 @t290 @t771 @t81 @t71 @t15)) % 47.01/47.29 (define @t6087 () (tptp.c_List_Omember @t15)) % 47.01/47.29 (define @t6088 () (tptp.hAPP @t6087 @t5057)) % 47.01/47.29 (define @t6089 () (tptp.hBOOL (tptp.hAPP @t6088 @t47))) % 47.01/47.29 (define @t6090 () (@var "V_fb_2" $$unsorted)) % 47.01/47.29 (define @t6091 () (tptp.c_Nitpick_Opair__box_OPairBox @t15 @t71 @t290 @t294)) % 47.01/47.29 (define @t6092 () (tptp.c_Nitpick_Opair__box_OPairBox @t71 @t184 @t290 @t294)) % 47.01/47.29 (define @t6093 () (tptp.c_FunDef_OTHE__default @t15 @t345 @t35)) % 47.01/47.29 (define @t6094 () (exists @t7 (and @t172 (forall @t2461 (=> @t2460 @t2542))))) % 47.01/47.29 (define @t6095 () (@var "B_T2" $$unsorted)) % 47.01/47.29 (define @t6096 () (@var "B_T1" $$unsorted)) % 47.01/47.29 (define @t6097 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t71)) % 47.01/47.29 (define @t6098 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t76)) % 47.01/47.29 (define @t6099 () (@var "V_lazy__sequence_H" $$unsorted)) % 47.01/47.29 (define @t6100 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t76 @t3196 @t6099)) % 47.01/47.29 (define @t6101 () (@list @t6099 @t3196 @t76)) % 47.01/47.29 (define @t6102 () (tptp.c_List_Oall__interval__int @t35 @t1144 @t1374)) % 47.01/47.29 (define @t6103 () (@list @t1374 @t1144 @t35)) % 47.01/47.29 (define @t6104 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 47.01/47.29 (define @t6105 () (tptp.c_DSequence_Osingle @t15)) % 47.01/47.29 (define @t6106 () (tptp.tc_prod @t15 @t6104)) % 47.01/47.29 (define @t6107 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t6009)))) % 47.01/47.29 (define @t6108 () (tptp.tc_fun @t6107 @t6107)) % 47.01/47.29 (define @t6109 () (tptp.c_Product__Type_OPair @t6107 @t4786)) % 47.01/47.29 (define @t6110 () (tptp.tc_prod @t6107 @t4786)) % 47.01/47.29 (define @t6111 () (tptp.tc_fun @t4786 @t6110)) % 47.01/47.29 (define @t6112 () (tptp.tc_fun @t6107 @t6111)) % 47.01/47.29 (define @t6113 () (tptp.c_Random__Sequence_ORandom @t15 @t1 @t5981 @t5980)) % 47.01/47.29 (define @t6114 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4779 @t5981) @t3794))) % 47.01/47.29 (define @t6115 () (tptp.hAPP @t6109 (tptp.c_DSequence_Oempty @t15))) % 47.01/47.29 (define @t6116 () (tptp.c_Random__Sequence_Osingle @t15)) % 47.01/47.29 (define @t6117 () (tptp.hAPP @t2419 (tptp.hAPP @t2418 @t4938))) % 47.01/47.29 (define @t6118 () (tptp.c_Relation_Otrans @t15 @t1667)) % 47.01/47.29 (define @t6119 () (tptp.hAPP @t2455 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 tptp.tc_HOL_Obool @t54) @t4452) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t88 @t54) @t6117) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t2585 @t88) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t243 @t4949 @t54) @t2462) tptp.c_fequal)) @t48))))) % 47.01/47.29 (define @t6120 () (tptp.tc_fun @t72 tptp.tc_HOL_Obool)) % 47.01/47.29 (define @t6121 () (tptp.tc_fun @t72 @t15)) % 47.01/47.29 (define @t6122 () (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6120 tptp.tc_HOL_Obool @t15) (tptp.c_HOL_OEx @t72)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6120 @t6120 @t15) (tptp.hAPP (tptp.c_COMBS @t72 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t72) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t72 @t6120 tptp.tc_HOL_Obool) (tptp.c_member @t72)) @t51)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t6121 @t6120) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 (tptp.tc_fun @t6121 @t6120) @t15) (tptp.c_COMBB @t15 tptp.tc_HOL_Obool @t72)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t72 @t71 @t15) (tptp.c_COMBI @t72)) @t47)))))) % 47.01/47.29 (define @t6123 () (tptp.c_Predicate_Otransp @t15 @t1667)) % 47.01/47.29 (define @t6124 () (tptp.hAPP @t1667 @t128)) % 47.01/47.29 (define @t6125 () (tptp.c_Predicate_Otransp @t15 @t387)) % 47.01/47.29 (define @t6126 () (tptp.c_Predicate_Osymp @t15 @t387)) % 47.01/47.29 (define @t6127 () (=> @t6126 (not @t6125))) % 47.01/47.29 (define @t6128 () (tptp.c_Predicate_Oreflp @t15 @t387)) % 47.01/47.29 (define @t6129 () (tptp.c_Predicate_Osymp @t15 @t1667)) % 47.01/47.29 (define @t6130 () (tptp.c_Relation_Oantisym @t15 @t1667)) % 47.01/47.29 (define @t6131 () (tptp.hBOOL (tptp.hAPP @t4772 @t1667))) % 47.01/47.29 (define @t6132 () (@list @t294 @t290 @t1667 @t15)) % 47.01/47.29 (define @t6133 () (tptp.tc_fun @t2534 tptp.tc_HOL_Obool)) % 47.01/47.29 (define @t6134 () (tptp.tc_fun @t2534 @t71)) % 47.01/47.29 (define @t6135 () (@var "V_L_2" $$unsorted)) % 47.01/47.29 (define @t6136 () (tptp.c_Relation_Osym @t15 @t1667)) % 47.01/47.29 (define @t6137 () (tptp.c_Relation_Osym @t15 @t543)) % 47.01/47.29 (define @t6138 () (tptp.c_Equiv__Relations_Opart__equivp @t15 @t387)) % 47.01/47.29 (define @t6139 () (tptp.hBOOL (tptp.hAPP @t4257 @t3))) % 47.01/47.29 (define @t6140 () (exists @t7 @t6139)) % 47.01/47.29 (define @t6141 () (tptp.c_Hilbert__Choice_Oinv__into @t15 @t71 @t2496 @t2)) % 47.01/47.29 (define @t6142 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t15 @t15 @t6141) @t2) @t4568)) % 47.01/47.29 (define @t6143 () (tptp.c_Hilbert__Choice_Oinv__into @t71 @t15 @t51 @t2)) % 47.01/47.29 (define @t6144 () (tptp.c_Hilbert__Choice_Oinv__into @t15 @t71 @t51 @t2)) % 47.01/47.29 (define @t6145 () (tptp.hAPP @t6144 @t128)) % 47.01/47.29 (define @t6146 () (tptp.hAPP @t6144 @t47)) % 47.01/47.29 (define @t6147 () (tptp.c_Hilbert__Choice_Oinv__into @t71 @t15 @t2512 @t2)) % 47.01/47.29 (define @t6148 () (tptp.hAPP @t6141 @t128)) % 47.01/47.29 (define @t6149 () (tptp.c_Set_Oimage @t71 @t15 @t6141)) % 47.01/47.29 (define @t6150 () (tptp.hAPP @t4675 @t4564)) % 47.01/47.29 (define @t6151 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 47.01/47.29 (define @t6152 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1476 @t783) @t2495))) % 47.01/47.29 (define @t6153 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t783)) % 47.01/47.29 (define @t6154 () (tptp.c_Quickcheck_Obeyond @t558 @t666)) % 47.01/47.29 (define @t6155 () (tptp.c_Fun_Obij__betw @t15 @t71 @t2 @t2496 @t2512)) % 47.01/47.29 (define @t6156 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t15 @t71 tptp.tc_HOL_Obool @t2) @t290) @t294))) % 47.01/47.29 (define @t6157 () (tptp.hBOOL (tptp.hAPP @t2 @t3882))) % 47.01/47.29 (define @t6158 () (tptp.c_Fun_Obij__betw @t15 @t71 @t2 @t51 @t916)) % 47.01/47.29 (define @t6159 () (tptp.c_Fun_Obij__betw @t15 @t71 @t2 @t51 @t48)) % 47.01/47.29 (define @t6160 () (@var "V_A_H_H_2" $$unsorted)) % 47.01/47.29 (define @t6161 () (@var "T_1" $$unsorted)) % 47.01/47.29 (define @t6162 () (@var "T_2" $$unsorted)) % 47.01/47.29 (define @t6163 () (tptp.tc_fun @t6162 @t6161)) % 47.01/47.29 (define @t6164 () (tptp.class_Lattices_Obounded__lattice @t6161)) % 47.01/47.29 (define @t6165 () (@list @t6162 @t6161)) % 47.01/47.29 (define @t6166 () (tptp.class_Lattices_Olattice @t6161)) % 47.01/47.29 (define @t6167 () (tptp.class_Finite__Set_Ofinite @t6161)) % 47.01/47.29 (define @t6168 () (and (tptp.class_Finite__Set_Ofinite @t6162) @t6167)) % 47.01/47.29 (define @t6169 () (@list @t6161 @t6162)) % 47.01/47.29 (define @t6170 () (tptp.class_Enum_Oenum @t6161)) % 47.01/47.29 (define @t6171 () (and (tptp.class_Enum_Oenum @t6162) @t6170)) % 47.01/47.29 (define @t6172 () (tptp.tc_List_Olist @t6161)) % 47.01/47.29 (define @t6173 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6161)) % 47.01/47.29 (define @t6174 () (@list @t6161)) % 47.01/47.29 (define @t6175 () (tptp.tc_sum @t6162 @t6161)) % 47.01/47.29 (define @t6176 () (tptp.tc_Option_Ooption @t6161)) % 47.01/47.29 (define @t6177 () (tptp.tc_prod @t6162 @t6161)) % 47.01/47.29 (define @t6178 () (@var "V_Q" $$unsorted)) % 47.01/47.29 (define @t6179 () (tptp.hAPP @t34 @t387)) % 47.01/47.29 (define @t6180 () (tptp.hAPP @t35 @t387)) % 47.01/47.29 (define @t6181 () (@list @t387 @t34 @t35 @t15 @t184 @t71)) % 47.01/47.29 (define @t6182 () (tptp.hBOOL (tptp.hAPP @t677 @t128))) % 47.01/47.29 (define @t6183 () (tptp.hBOOL @t35)) % 47.01/47.29 (define @t6184 () (not @t6183)) % 47.01/47.29 (define @t6185 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t35))) % 47.01/47.29 (define @t6186 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t35) @t34))) % 47.01/47.29 (define @t6187 () (tptp.hBOOL @t34)) % 47.01/47.29 (define @t6188 () (not @t6187)) % 47.01/47.29 (define @t6189 () (@list @t34 @t35)) % 47.01/47.29 (define @t6190 () (not @t6186)) % 47.01/47.29 (define @t6191 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t35) @t34))) % 47.01/47.29 (define @t6192 () (@list @t35 @t34)) % 47.01/47.29 (define @t6193 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t35) @t34))) % 47.01/47.29 (define @t6194 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 47.01/47.29 (define @t6195 () (tptp.tc_fun tptp.t_a @t36)) % 47.01/47.29 (define @t6196 () (tptp.tc_fun @t6195 @t6194)) % 47.01/47.29 (define @t6197 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t6196) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6195 (tptp.tc_fun tptp.tc_Com_Ocom @t6196) tptp.tc_Com_Opname) (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a)) tptp.v_P))) % 47.01/47.29 (define @t6198 () (tptp.c_COMBS tptp.tc_Com_Opname @t6195 @t6194)) % 47.01/47.29 (define @t6199 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t6194 (tptp.hAPP (tptp.hAPP @t6198 (tptp.hAPP @t6197 @t44)) tptp.v_Q)) tptp.v_Procs)) % 47.01/47.29 (define @t6200 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t6194 (tptp.hAPP (tptp.hAPP @t6198 (tptp.hAPP @t6197 tptp.c_Com_Ocom_OBODY)) tptp.v_Q)) tptp.v_Procs)) % 47.01/47.29 (define @t6201 () (tptp.tc_fun @t6194 tptp.tc_HOL_Obool)) % 47.01/47.29 (define @t6202 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t6201) tptp.v_G) @t6200)) % 47.01/47.29 (define @t6203 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6202 @t6199)) % 47.01/47.29 (define @t6204 () (@var "B_G" $$unsorted)) % 47.01/47.29 (define @t6205 () (tptp.c_Orderings_Oord__class_Oless__eq @t6201)) % 47.01/47.29 (define @t6206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6205 tptp.v_G) tptp.v_Ga))) % 47.01/47.29 (define @t6207 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_Ga @t6200)) % 47.01/47.29 (define @t6208 () (not @t28)) % 47.01/47.29 (define @t6209 () (not @t30)) % 47.01/47.29 (define @t6210 () (or @t6209 @t6208 @t20)) % 47.01/47.29 (define @t6211 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_G @t6200)) % 47.01/47.29 (define @t6212 () (not @t6203)) % 47.01/47.29 (define @t6213 () (or @t6212 @t6211)) % 47.01/47.29 (define @t6214 () (@list false false)) % 47.01/47.29 (define @t6215 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_Ga tptp.v_G)) % 47.01/47.29 (define @t6216 () (not @t6206)) % 47.01/47.29 (define @t6217 () (or @t6216 @t6215)) % 47.01/47.29 (define @t6218 () (not @t6215)) % 47.01/47.29 (define @t6219 () (not @t6211)) % 47.01/47.29 (define @t6220 () (or @t6219 @t6218 @t6207)) % 47.01/47.29 (define @t6221 () (not @t6220)) % 47.01/47.29 (define @t6222 () (forall @t31 @t6210)) % 47.01/47.29 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 47.01/47.29 (assume @p2 (forall (@list @t8 @t10 @t13 @t9 @t11 @t14 @t15) (= (= @t17 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t13) @t10) @t8)) (and (= @t14 @t13) @t12 (= @t9 @t8))))) % 47.01/47.29 (assume @p3 @t25) % 47.01/47.29 (assume @p4 (forall (@list @t18 @t26 @t19 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 @t26) (=> (tptp.hBOOL (tptp.hAPP @t23 @t26)) @t20)))) % 47.01/47.29 (assume @p5 @t32) % 47.01/47.29 (assume @p6 @t46) % 47.01/47.29 (assume @p7 (forall @t59 (=> @t58 (=> (not @t53) @t50)))) % 47.01/47.29 (assume @p8 (forall (@list @t15 @t51 @t47 @t48) (=> (=> @t60 @t53) @t58))) % 47.01/47.29 (assume @p9 (forall @t67 (=> @t66 (=> @t64 @t61)))) % 47.01/47.29 (assume @p10 (forall @t74 (=> @t73 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t72) @t2) @t1) @t47) (tptp.hAPP (tptp.hAPP @t70 @t69) @t68))))) % 47.01/47.29 (assume @p11 (forall @t80 (=> @t79 (tptp.hBOOL (tptp.hAPP @t78 @t75))))) % 47.01/47.29 (assume @p12 (forall @t84 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t71 @t15 @t81 @t83) @t82))) % 47.01/47.29 (assume @p13 (forall @t84 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t71 @t15 @t81 @t83) @t82))) % 47.01/47.29 (assume @p14 (forall @t92 (= (tptp.hAPP @t85 @t91) (tptp.hAPP (tptp.hAPP @t55 @t87) @t86)))) % 47.01/47.29 (assume @p15 (forall @t67 (tptp.hBOOL (tptp.hAPP @t65 @t57)))) % 47.01/47.29 (assume @p16 (forall @t93 (tptp.hBOOL (tptp.hAPP @t63 @t57)))) % 47.01/47.29 (assume @p17 (forall @t67 (= @t66 @t94))) % 47.01/47.29 (assume @p18 (forall @t67 (=> @t66 @t94))) % 47.01/47.29 (assume @p19 (forall @t100 (=> @t99 (=> (not @t98) @t97)))) % 47.01/47.29 (assume @p20 (forall @t106 (=> @t105 (=> @t97 (=> @t104 @t103))))) % 47.01/47.29 (assume @p21 (forall @t108 (=> @t105 (=> @t97 (=> @t98 @t107))))) % 47.01/47.29 (assume @p22 (forall @t111 (=> @t79 (=> @t98 (=> @t110 @t109))))) % 47.01/47.29 (assume @p23 (forall @t100 (=> @t105 (=> @t98 (=> @t97 @t107))))) % 47.01/47.29 (assume @p24 (forall @t120 (=> @t105 (=> @t119 (=> @t117 @t115))))) % 47.01/47.29 (assume @p25 (forall @t125 (=> @t124 (=> @t123 (=> @t117 @t122))))) % 47.01/47.29 (assume @p26 (forall @t125 (=> @t105 (=> @t126 (=> (tptp.hBOOL (tptp.hAPP @t114 @t116)) @t115))))) % 47.01/47.29 (assume @p27 (forall @t125 (=> @t124 (=> @t126 (=> @t127 @t122))))) % 47.01/47.29 (assume @p28 (forall @t137 (=> @t136 (=> @t135 @t133)))) % 47.01/47.29 (assume @p29 (forall @t100 (=> @t79 (=> @t107 @t98)))) % 47.01/47.29 (assume @p30 (forall @t138 (=> @t136 (= @t129 (and @t132 @t135))))) % 47.01/47.29 (assume @p31 (forall @t100 (=> @t99 (or @t98 @t97)))) % 47.01/47.29 (assume @p32 (forall @t111 (=> @t146 @t145))) % 47.01/47.29 (assume @p33 (forall @t111 (=> @t147 @t145))) % 47.01/47.29 (assume @p34 (forall @t125 (=> @t146 (= (tptp.hAPP (tptp.hAPP @t139 @t151) @t113) @t150)))) % 47.01/47.29 (assume @p35 (forall @t111 (=> @t146 @t153))) % 47.01/47.29 (assume @p36 (forall @t111 (=> @t147 @t153))) % 47.01/47.29 (assume @p37 (forall @t120 (=> @t146 (= (tptp.hAPP @t148 (tptp.hAPP @t149 @t113)) @t150)))) % 47.01/47.29 (assume @p38 (forall @t100 (=> @t146 @t154))) % 47.01/47.29 (assume @p39 (forall @t100 (=> @t147 @t154))) % 47.01/47.29 (assume @p40 (forall @t155 (=> @t146 (= (tptp.hAPP @t149 @t151) @t151)))) % 47.01/47.29 (assume @p41 (forall @t100 (=> @t146 @t157))) % 47.01/47.29 (assume @p42 (forall @t100 (=> @t147 @t157))) % 47.01/47.29 (assume @p43 (forall @t155 (=> @t146 (= @t151 (tptp.hAPP @t148 @t112))))) % 47.01/47.29 (assume @p44 (forall @t80 (=> @t146 @t158))) % 47.01/47.29 (assume @p45 (forall @t159 (=> @t146 (= (tptp.hAPP @t149 @t112) @t112)))) % 47.01/47.29 (assume @p46 (forall @t160 (=> @t61 (not (=> @t66 (not @t64)))))) % 47.01/47.29 (assume @p47 (forall @t164 (=> @t66 (=> @t163 @t162)))) % 47.01/47.29 (assume @p48 (forall (@list @t47 @t34 @t35 @t15) (=> @t169 (=> @t168 @t166)))) % 47.01/47.29 (assume @p49 (forall @t160 (=> @t61 @t64))) % 47.01/47.29 (assume @p50 (forall @t160 (=> @t61 @t66))) % 47.01/47.29 (assume @p51 (forall (@list @t34 @t15 @t47 @t35) (=> @t168 (=> @t169 @t166)))) % 47.01/47.29 (assume @p52 (forall @t160 (= @t61 (and @t66 @t64)))) % 47.01/47.29 (assume @p53 (forall @t170 (tptp.hBOOL (tptp.hAPP @t65 @t51)))) % 47.01/47.29 (assume @p54 (forall (@list @t51 @t15 @t47 @t48) (=> @t50 @t58))) % 47.01/47.29 (assume @p55 (forall (@list @t48 @t15 @t47 @t51) (=> @t53 @t58))) % 47.01/47.29 (assume @p56 (forall @t178 (= (forall @t7 (=> @t177 @t172)) (and (forall @t7 (=> @t176 @t172)) (forall @t7 (=> @t175 @t172)))))) % 47.01/47.29 (assume @p57 (forall @t178 (= (exists @t7 (and @t177 @t172)) (or (exists @t7 (and @t176 @t172)) (exists @t7 (and @t175 @t172)))))) % 47.01/47.29 (assume @p58 (forall @t164 (= (tptp.hAPP (tptp.hAPP @t55 @t57) @t161) @t181))) % 47.01/47.29 (assume @p59 (forall @t164 (= @t181 (tptp.hAPP @t179 @t182)))) % 47.01/47.29 (assume @p60 (forall @t67 (= (tptp.hAPP @t56 @t57) @t57))) % 47.01/47.29 (assume @p61 (forall @t67 (= @t57 @t183))) % 47.01/47.29 (assume @p62 (forall @t170 (= (tptp.hAPP @t56 @t51) @t51))) % 47.01/47.29 (assume @p63 (forall (@list @t51 @t1 @t184 @t2 @t15 @t71) (= (tptp.hAPP @t85 (tptp.hAPP @t186 @t51)) (tptp.hAPP (tptp.c_Set_Oimage @t184 @t15 (tptp.hAPP (tptp.hAPP @t185 @t2) @t1)) @t51)))) % 47.01/47.29 (assume @p64 (forall @t192 (=> @t146 (=> @t191 @t189)))) % 47.01/47.29 (assume @p65 (forall @t195 (=> @t146 (=> @t122 (=> @t194 (tptp.hBOOL (tptp.hAPP @t190 (tptp.hAPP (tptp.hAPP @t139 @t113) @t193)))))))) % 47.01/47.29 (assume @p66 (forall @t106 (=> @t146 (=> @t97 (=> @t103 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t141) @t75))))))) % 47.01/47.29 (assume @p67 (forall @t196 (=> @t146 (=> @t188 (=> @t187 @t191))))) % 47.01/47.29 (assume @p68 (forall @t108 (=> @t146 (=> @t97 (= @t144 @t75))))) % 47.01/47.29 (assume @p69 (forall @t100 (=> @t146 (=> @t98 (= @t144 @t95))))) % 47.01/47.29 (assume @p70 (forall @t199 (=> @t146 (=> @t198 @t197)))) % 47.01/47.29 (assume @p71 (forall @t201 (=> @t146 (=> @t200 @t197)))) % 47.01/47.29 (assume @p72 (forall @t209 (=> @t208 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t207) @t202)) @t205)))) % 47.01/47.29 (assume @p73 (forall @t138 (=> @t208 (= @t132 (= @t207 @t128))))) % 47.01/47.29 (assume @p74 (forall @t108 (=> @t146 @t210))) % 47.01/47.29 (assume @p75 (forall @t108 (=> @t147 @t210))) % 47.01/47.29 (assume @p76 (forall @t100 (=> @t146 @t211))) % 47.01/47.29 (assume @p77 (forall @t100 (=> @t147 @t211))) % 47.01/47.29 (assume @p78 (forall (@list @t47 @t1 @t2 @t15 @t71) (=> @t217 (=> @t216 (tptp.hBOOL (tptp.hAPP @t213 @t68)))))) % 47.01/47.29 (assume @p79 (forall @t219 (=> @t217 (= @t216 (forall @t7 @t218))))) % 47.01/47.29 (assume @p80 (forall @t226 (=> @t66 @t225))) % 47.01/47.29 (assume @p81 (forall @t229 (= @t228 (exists (@list @t227) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t227) @t51)) (= @t48 (tptp.hAPP @t85 @t227))))))) % 47.01/47.29 (assume @p82 (forall @t234 (=> @t162 (=> @t233 (tptp.hBOOL (tptp.hAPP @t232 (tptp.hAPP @t231 @t230))))))) % 47.01/47.29 (assume @p83 (forall @t235 (=> @t162 (=> @t163 (tptp.hBOOL (tptp.hAPP @t232 @t161)))))) % 47.01/47.29 (assume @p84 (forall @t93 (=> @t64 (= @t57 @t51)))) % 47.01/47.29 (assume @p85 (forall @t238 (= (tptp.hAPP (tptp.c_Set_Oimage @t15 @t15 @t237) @t236) @t236))) % 47.01/47.29 (assume @p86 (forall (@list @t239 @t240) (= (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t240) @t241) (= @t240 @t239)))) % 47.01/47.29 (assume @p87 (forall @t80 (=> @t147 @t158))) % 47.01/47.29 (assume @p88 (forall @t67 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t242) (tptp.c_Predicate_OPowp @t15 @t48)))))) % 47.01/47.29 (assume @p89 (forall (@list @t246 @t33 @t34 @t35 @t19 @t15) (=> @t45 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) @t246) @t33)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP @t35 @t246)) @t247) (tptp.hAPP @t34 @t246))) @t245)))))) % 47.01/47.29 (assume @p90 (forall (@list @t249 @t250 @t251) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t253) @t250) @t249)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t252) @t250) @t249))))) % 47.01/47.29 (assume @p91 (forall (@list @t249 @t254 @t255) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t257) @t254) @t249)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t256) @t254) @t249))))) % 47.01/47.29 (assume @p92 (forall (@list @t34 @t246 @t35 @t260 @t15) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t260 @t262) (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t261 @t259)))) % 47.01/47.29 (assume @p93 (forall (@list @t19 @t34 @t246 @t35 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 (tptp.hAPP @t263 @t19) (tptp.hAPP (tptp.hAPP @t248 @t262) @t245)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP @t263 @t245))))) % 47.01/47.29 (assume @p94 (forall @t92 (=> (and @t269 @t208) (=> @t268 (tptp.hBOOL (tptp.hAPP @t267 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t70 @t51) @t48)))))))) % 47.01/47.29 (assume @p95 (forall @t219 (=> @t275 (= @t216 (tptp.hBOOL (tptp.hAPP @t272 (tptp.hAPP (tptp.hAPP @t271 (tptp.hAPP (tptp.hAPP @t270 @t212) @t2)) @t1))))))) % 47.01/47.29 (assume @p96 (forall (@list @t276 @t277 @t278) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t280) @t277) @t276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t279) @t277) @t276))))) % 47.01/47.29 (assume @p97 (forall (@list @t281 @t15 @t48 @t51) (=> @t61 (=> @t288 (not @t286))))) % 47.01/47.29 (assume @p98 (forall @t292 (not (tptp.hBOOL (tptp.hAPP @t291 @t289))))) % 47.01/47.29 (assume @p99 (forall @t301 (=> @t300 (=> @t296 @t293)))) % 47.01/47.29 (assume @p100 (forall @t306 (=> (=> @t305 @t295) @t303))) % 47.01/47.29 (assume @p101 (forall @t308 (=> @t66 @t307))) % 47.01/47.29 (assume @p102 (forall (@list @t15 @t51 @t71 @t47 @t2 @t294) (=> @t314 (=> @t313 @t310)))) % 47.01/47.29 (assume @p103 (forall @t316 (=> @t315 @t286))) % 47.01/47.29 (assume @p104 (forall @t317 (=> (=> @t287 @t284) @t315))) % 47.01/47.29 (assume @p105 (forall @t170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t289) @t51)))) % 47.01/47.29 (assume @p106 (forall @t320 (not (= @t289 @t319)))) % 47.01/47.29 (assume @p107 (forall @t320 (not (= @t319 @t289)))) % 47.01/47.29 (assume @p108 (forall @t322 (=> (tptp.class_Orderings_Obot @t15) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t72) @t47) @t321)))) % 47.01/47.29 (assume @p109 (forall @t324 (= (tptp.hBOOL (tptp.hAPP @t289 @t47)) (tptp.hBOOL (tptp.hAPP @t323 @t289))))) % 47.01/47.29 (assume @p110 (forall @t326 (tptp.hBOOL (tptp.hAPP @t291 @t325)))) % 47.01/47.29 (assume @p111 (forall @t170 (= (forall @t7 @t328) @t327))) % 47.01/47.29 (assume @p112 (forall @t170 (= @t330 @t329))) % 47.01/47.29 (assume @p113 (forall (@list @t281 @t15) (not (tptp.hBOOL (tptp.hAPP @t282 @t289))))) % 47.01/47.29 (assume @p114 (forall @t332 (= @t331 @t53))) % 47.01/47.29 (assume @p115 (forall @t138 (= (tptp.hBOOL (tptp.hAPP @t323 @t333)) @t129))) % 47.01/47.29 (assume @p116 (forall @t337 (= @t336 @t334))) % 47.01/47.29 (assume @p117 (forall @t332 (= (tptp.hAPP @t338 @t339) @t339))) % 47.01/47.29 (assume @p118 (forall @t342 (= (tptp.hAPP @t338 @t341) (tptp.hAPP @t340 @t339)))) % 47.01/47.29 (assume @p119 (forall @t301 (= @t300 @t343))) % 47.01/47.29 (assume @p120 (forall @t352 (= (= @t351 (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP @t297 @t345) @t289))) (or @t348 (and (= @t290 @t345) @t344))))) % 47.01/47.29 (assume @p121 (forall (@list @t47 @t51 @t128 @t15) (= (tptp.hBOOL (tptp.hAPP @t341 @t47)) (or @t353 @t53)))) % 47.01/47.29 (assume @p122 (forall @t358 (=> @t357 (=> @t356 (= (= @t339 @t354) @t61))))) % 47.01/47.29 (assume @p123 (forall (@list @t290 @t15 @t51) (=> @t327 @t359))) % 47.01/47.29 (assume @p124 (forall @t306 (=> @t304 @t303))) % 47.01/47.29 (assume @p125 (forall @t320 (=> @t293 (= @t319 @t51)))) % 47.01/47.29 (assume @p126 (forall (@list @t47 @t15 @t48 @t51) (=> @t61 (= @t331 @t355)))) % 47.01/47.29 (assume @p127 (forall (@list @t51 @t15 @t128 @t47) (=> @t129 (= @t331 @t361)))) % 47.01/47.29 (assume @p128 (forall @t363 (=> @t295 (=> @t362 @t293)))) % 47.01/47.29 (assume @p129 (forall @t337 (=> @t336 @t334))) % 47.01/47.29 (assume @p130 (forall @t364 (=> (= @t335 @t350) @t295))) % 47.01/47.29 (assume @p131 (forall (@list @t366 @t365 @t254 @t113) (=> @t368 (=> (tptp.hBOOL (tptp.hAPP @t367 @t366)) (= @t366 @t365))))) % 47.01/47.29 (assume @p132 (forall (@list @t365 @t369 @t76) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t76 @t370 @t365) (tptp.c_Hoare__Mirabelle_Otriple__valid @t76 @t369 @t365)))) % 47.01/47.29 (assume @p133 (forall @t376 (=> @t273 (= @t375 @t371)))) % 47.01/47.29 (assume @p134 (forall @t376 (=> @t273 (= @t371 @t375)))) % 47.01/47.29 (assume @p135 (forall (@list @t281 @t71 @t51 @t47 @t15) (=> @t331 @t381))) % 47.01/47.29 (assume @p136 (forall @t358 (=> @t357 (= @t382 @t66)))) % 47.01/47.29 (assume @p137 (forall @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t339) @t48)) (and @t355 @t66)))) % 47.01/47.29 (assume @p138 (forall @t383 (=> @t331 (= (tptp.hAPP (tptp.hAPP @t378 @t69) @t222) @t222)))) % 47.01/47.29 (assume @p139 (forall @t385 (=> (tptp.hBOOL (tptp.hAPP @t65 @t384)) (or @t327 (= @t51 @t384))))) % 47.01/47.29 (assume @p140 (forall @t320 (= @t319 (tptp.hAPP (tptp.hAPP @t55 @t335) @t51)))) % 47.01/47.29 (assume @p141 (forall @t392 (= (= @t391 @t390) @t388))) % 47.01/47.29 (assume @p142 (forall (@list @t18 @t393 @t19 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP @t394 @t245)) (=> @t20 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP @t394 @t18)))))) % 47.01/47.29 (assume @p143 (forall @t395 (and (=> @t327 (= @t380 @t377)) (=> @t329 @t381)))) % 47.01/47.29 (assume @p144 (forall (@list @t290 @t48 @t15) (tptp.hBOOL (tptp.hAPP @t63 @t325)))) % 47.01/47.29 (assume @p145 (forall (@list @t294 @t48 @t51 @t15) (=> @t66 (tptp.hBOOL (tptp.hAPP @t65 @t302))))) % 47.01/47.29 (assume @p146 (forall (@list @t290 @t230 @t161 @t15) (=> (tptp.hBOOL (tptp.hAPP @t396 @t230)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t318 @t161)) (tptp.hAPP @t318 @t230)))))) % 47.01/47.29 (assume @p147 (forall (@list @t48 @t290 @t2 @t15 @t71) (= (tptp.hAPP @t85 @t399) (tptp.hAPP (tptp.hAPP @t297 @t397) @t86)))) % 47.01/47.29 (assume @p148 (forall @t400 (= (tptp.hAPP @t56 @t325) (tptp.hAPP @t318 @t57)))) % 47.01/47.29 (assume @p149 (forall (@list @t161 @t48 @t290 @t15) (= (tptp.hAPP (tptp.hAPP @t55 @t325) @t161) (tptp.hAPP @t318 @t180)))) % 47.01/47.29 (assume @p150 (forall @t59 (=> @t66 (=> @t331 @t355)))) % 47.01/47.29 (assume @p151 (forall @t358 (=> @t331 (=> @t66 @t355)))) % 47.01/47.29 (assume @p152 (forall (@list @t51 @t2 @t71 @t202 @t15) (= (tptp.hBOOL (tptp.hAPP @t403 @t87)) (exists @t7 (and @t402 (= @t202 @t5)))))) % 47.01/47.29 (assume @p153 (forall @t383 (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t69) @t222))))) % 47.01/47.29 (assume @p154 (forall (@list @t71 @t2 @t294 @t51 @t47 @t15) (=> @t331 (=> @t314 (tptp.hBOOL (tptp.hAPP @t404 @t222)))))) % 47.01/47.29 (assume @p155 (forall @t316 (= @t315 (or @t284 @t283)))) % 47.01/47.29 (assume @p156 (forall @t316 (=> @t284 @t315))) % 47.01/47.29 (assume @p157 (forall @t317 (=> @t283 @t315))) % 47.01/47.29 (assume @p158 (forall @t170 (= (tptp.hBOOL (tptp.hAPP @t65 @t289)) @t327))) % 47.01/47.29 (assume @p159 (forall @t406 (= (= @t289 @t87) @t405))) % 47.01/47.29 (assume @p160 (forall @t407 (= (tptp.hAPP @t85 @t377) @t289))) % 47.01/47.29 (assume @p161 (forall @t408 (= (= @t87 @t289) @t405))) % 47.01/47.29 (assume @p162 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t55 @t289) @t48) @t48))) % 47.01/47.29 (assume @p163 (forall @t170 (= (tptp.hAPP @t56 @t289) @t51))) % 47.01/47.29 (assume @p164 (forall @t67 (= (= @t57 @t289) (and @t327 @t410)))) % 47.01/47.29 (assume @p165 (forall (@list @t19 @t15) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 @t245))) % 47.01/47.29 (assume @p166 (forall @t292 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t290 @t245))) % 47.01/47.29 (assume @p167 (forall @t413 (=> @t412 (=> @t268 (=> @t132 (tptp.hBOOL (tptp.hAPP @t213 @t411))))))) % 47.01/47.29 (assume @p168 (forall @t392 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t391) @t390)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t387) @t386))))) % 47.01/47.29 (assume @p169 (forall @t414 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t55 @t391) @t390) @t47)) (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP (tptp.hAPP @t55 @t387) @t386)))))) % 47.01/47.29 (assume @p170 (forall @t80 (=> (tptp.class_Orderings_Obot @t76) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t415) @t75))))) % 47.01/47.29 (assume @p171 (forall @t80 (=> @t416 (= (tptp.hAPP (tptp.hAPP @t139 @t415) @t75) @t75)))) % 47.01/47.29 (assume @p172 (forall @t80 (=> @t416 (= (tptp.hAPP @t142 @t415) @t75)))) % 47.01/47.29 (assume @p173 (forall @t138 (=> (tptp.class_Lattices_Obounded__lattice__bot @t15) (= (= @t207 @t321) (and (= @t47 @t321) (= @t128 @t321)))))) % 47.01/47.29 (assume @p174 (forall @t418 (=> @t417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP (tptp.hAPP @t89 @t265) @t264)) (tptp.hAPP @t2 @t57)))))) % 47.01/47.29 (assume @p175 (forall (@list @t281) (= (tptp.c_Hoare__Mirabelle_OMGT @t281) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) tptp.c_fequal) @t281) @t419)))) % 47.01/47.29 (assume @p176 (forall @t324 (= (tptp.c_Set_Othe__elem @t15 @t384) @t47))) % 47.01/47.29 (assume @p177 (forall @t428 (=> @t412 (=> @t268 (=> (exists @t7 (and @t427 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 @t386)) @t424)))) (= (tptp.c_Orderings_Oord__class_OLeast @t71 (tptp.hAPP @t421 @t420)) (tptp.hAPP @t2 (tptp.c_Orderings_Oord__class_OLeast @t15 @t390)))))))) % 47.01/47.29 (assume @p178 (forall @t433 (=> @t136 (= (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat @t15 @t2) (forall @t432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t431) (tptp.hAPP @t2 @t430)))))))) % 47.01/47.29 (assume @p179 (forall (@list @t34 @t281 @t19 @t15 @t35) (=> (forall @t442 (=> @t441 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP @t439 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t440))) @t281) (tptp.hAPP @t439 @t438))) @t245)))) @t436))) % 47.01/47.29 (assume @p180 (forall (@list @t35 @t19 @t15) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP @t258 tptp.c_Com_Ocom_OSKIP) @t35)) @t245)))) % 47.01/47.29 (assume @p181 (forall (@list @t277 @t278 @t15) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t278 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t277) tptp.c_Com_Ocom_OSKIP) @t277)) @t245)))) % 47.01/47.29 (assume @p182 (forall (@list @t34 @t443 @t281 @t35 @t19 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP @t434 @t443)) @t245)) (=> (forall @t442 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t443 @t437) @t440)) (tptp.hBOOL (tptp.hAPP @t438 @t440)))) @t436)))) % 47.01/47.29 (assume @p183 (forall (@list @t35 @t34 @t281 @t444 @t19 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t444) @t281) @t34)) @t245)) (=> (forall @t442 (=> @t441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t444 @t437) @t440)))) @t436)))) % 47.01/47.29 (assume @p184 (forall (@list @t387 @t345 @t34 @t281 @t35 @t19 @t15) (=> @t436 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t34) @t345) @t387)) @t245)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP @t258 (tptp.c_Com_Ocom_OSemi @t281 @t345)) @t387)) @t245)))))) % 47.01/47.29 (assume @p185 (forall (@list @t445 @t446 @t249 @t250 @t447) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t447) @t250) @t249)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t446) @t249) @t445)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t448) @t250) @t445)))))) % 47.01/47.29 (assume @p186 (forall (@list @t254) (tptp.hBOOL (tptp.hAPP @t450 @t254)))) % 47.01/47.29 (assume @p187 (forall @t452 (=> (tptp.hBOOL (tptp.hAPP @t450 @t365)) @t451))) % 47.01/47.29 (assume @p188 (forall (@list @t453 @t456 @t454 @t457) (= (= @t460 @t459) (and @t458 @t455)))) % 47.01/47.29 (assume @p189 (forall @t464 (not (= @t463 tptp.c_Com_Ocom_OSKIP)))) % 47.01/47.29 (assume @p190 (forall @t464 (not (= tptp.c_Com_Ocom_OSKIP @t463)))) % 47.01/47.29 (assume @p191 (forall @t376 (=> @t468 (=> @t467 @t466)))) % 47.01/47.29 (assume @p192 (forall @t471 (=> @t468 (=> @t470 @t466)))) % 47.01/47.29 (assume @p193 (forall (@list @t472 @t277 @t474 @t278) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi @t278 @t474)) @t277) @t472)) (exists @t475 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t278) @t277) @t473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t474) @t473) @t472))))))) % 47.01/47.29 (assume @p194 (forall (@list @t476 @t478 @t479) (not (= @t480 @t477)))) % 47.01/47.29 (assume @p195 (forall (@list @t478 @t479 @t476) (not (= @t477 @t480)))) % 47.01/47.29 (assume @p196 (forall @t481 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t449 @t112) @t112)))) % 47.01/47.29 (assume @p197 (forall @t482 (not (= @t477 tptp.c_Com_Ocom_OSKIP)))) % 47.01/47.29 (assume @p198 (forall @t482 (not (= tptp.c_Com_Ocom_OSKIP @t477)))) % 47.01/47.29 (assume @p199 (forall @t471 (=> @t468 (=> @t470 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t465) @t469)))))) % 47.01/47.29 (assume @p200 (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 47.01/47.29 (assume @p201 (forall @t483 (not (= @t369 @t370)))) % 47.01/47.29 (assume @p202 (forall @t483 (not (= @t370 @t369)))) % 47.01/47.29 (assume @p203 (forall (@list @t484 @t485) (= (= @t486 (tptp.hAPP tptp.c_Nat_OSuc @t484)) (= @t485 @t484)))) % 47.01/47.29 (assume @p204 (forall @t487 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t75) (tptp.hAPP tptp.c_Nat_OSuc @t95)) @t107))) % 47.01/47.29 (assume @p205 (forall @t494 (=> @t493 @t491))) % 47.01/47.29 (assume @p206 (forall @t494 (=> @t495 (=> (not @t491) (= @t488 @t370))))) % 47.01/47.29 (assume @p207 (forall @t494 (=> @t491 @t495))) % 47.01/47.29 (assume @p208 (forall @t501 (= (tptp.hBOOL (tptp.hAPP @t500 @t499)) @t498))) % 47.01/47.29 (assume @p209 (forall @t505 (= @t504 (or @t503 (= @t496 @t261))))) % 47.01/47.29 (assume @p210 (forall @t505 (= @t507 @t506))) % 47.01/47.29 (assume @p211 (forall @t483 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t370) @t369))))) % 47.01/47.29 (assume @p212 (forall (@list @t48 @t508 @t2 @t71 @t15) (=> @t136 (=> (tptp.c_Orderings_Oorder__class_Omono @t15 @t88 @t2) (tptp.c_Orderings_Oorder__class_Omono @t15 @t88 (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t511 (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP @t511 @t2)) @t508))) @t48)))))) % 47.01/47.29 (assume @p213 (forall (@list @t249 @t369 @t250 @t251) (=> (tptp.c_Natural_Oevaln @t253 @t250 @t369 @t249) (tptp.c_Natural_Oevaln @t252 @t250 @t370 @t249)))) % 47.01/47.29 (assume @p214 (forall (@list @t508 @t15) (= (tptp.c_Set_Othe__elem @t15 @t508) (tptp.c_HOL_OThe @t15 (tptp.hAPP (tptp.hAPP @t515 (tptp.hAPP tptp.c_fequal @t508)) @t514))))) % 47.01/47.29 (assume @p215 (forall @t519 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t36 @t36) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t518 (tptp.tc_fun @t36 @t36) @t15) (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t36 @t518 @t15) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t517 tptp.tc_Com_Ostate) tptp.c_fconj)) @t35))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t294))) @t516) @t35)) @t245)))) % 47.01/47.29 (assume @p216 (forall (@list @t474 @t276 @t277 @t278) (= (tptp.c_Natural_Oevaln @t280 @t277 (tptp.hAPP tptp.c_Nat_OSuc @t276) @t474) (tptp.c_Natural_Oevaln @t279 @t277 @t276 @t474)))) % 47.01/47.29 (assume @p217 (forall (@list @t34 @t246 @t35 @t15) (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t520 @t259))) % 47.01/47.29 (assume @p218 (forall @t418 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t87) @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t523) @t522))))) % 47.01/47.29 (assume @p219 (forall @t528 (and @t527 @t525))) % 47.01/47.29 (assume @p220 (forall @t533 (=> @t532 (=> @t331 @t382)))) % 47.01/47.29 (assume @p221 (forall @t533 (= @t382 (and (=> @t331 @t532) @t534)))) % 47.01/47.29 (assume @p222 (forall (@list @t51 @t2 @t71 @t294 @t15) (=> @t310 (not (forall @t7 (=> @t536 @t535)))))) % 47.01/47.29 (assume @p223 (forall @t316 (=> @t284 (=> @t287 @t538)))) % 47.01/47.29 (assume @p224 (forall @t316 (=> @t538 (not @t307)))) % 47.01/47.29 (assume @p225 (forall @t483 (tptp.hBOOL (tptp.hAPP @t539 @t369)))) % 47.01/47.29 (assume @p226 (forall @t67 (=> @t66 @t542))) % 47.01/47.29 (assume @p227 (forall (@list @t260 @t281 @t543 @t294) (=> @t545 (tptp.c_Natural_Oevaln @t516 @t543 @t260 @t543)))) % 47.01/47.29 (assume @p228 (forall (@list @t546 @t548 @t260 @t281 @t547 @t294) (=> @t549 (=> (tptp.c_Natural_Oevaln @t281 @t547 @t260 @t548) (=> (tptp.c_Natural_Oevaln @t516 @t548 @t260 @t546) (tptp.c_Natural_Oevaln @t516 @t547 @t260 @t546)))))) % 47.01/47.29 (assume @p229 (forall (@list @t546 @t548 @t281 @t547 @t294) (=> @t549 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t419 @t547) @t548)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t550 @t548) @t546)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t550 @t547) @t546))))))) % 47.01/47.29 (assume @p230 (forall (@list @t281 @t543 @t294) (=> @t545 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t550 @t543) @t543))))) % 47.01/47.29 (assume @p231 (forall (@list @t445 @t446 @t249 @t369 @t250 @t447) (=> (tptp.c_Natural_Oevaln @t447 @t250 @t369 @t249) (=> (tptp.c_Natural_Oevaln @t446 @t249 @t369 @t445) (tptp.c_Natural_Oevaln @t448 @t250 @t369 @t445))))) % 47.01/47.29 (assume @p232 (forall (@list @t369 @t254) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t254 @t369 @t254))) % 47.01/47.29 (assume @p233 (forall (@list @t365 @t369 @t254) (=> (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t254 @t369 @t365) @t451))) % 47.01/47.29 (assume @p234 (forall @t170 (not (= @t552 @t551)))) % 47.01/47.29 (assume @p235 (forall @t483 (tptp.hBOOL (tptp.hAPP @t553 @t369)))) % 47.01/47.29 (assume @p236 (forall @t170 (tptp.hBOOL (tptp.hAPP @t541 @t552)))) % 47.01/47.29 (assume @p237 (forall @t555 (= (tptp.hBOOL (tptp.hAPP @t497 @t520)) @t554))) % 47.01/47.29 (assume @p238 (forall @t494 (or @t491 @t556))) % 47.01/47.29 (assume @p239 (forall @t494 (=> @t557 @t491))) % 47.01/47.29 (assume @p240 (forall @t564 (=> @t563 (=> (tptp.hBOOL (tptp.hAPP @t562 @t558)) (tptp.hBOOL (tptp.hAPP @t560 @t558)))))) % 47.01/47.29 (assume @p241 (forall @t494 (=> @t491 (=> @t556 @t557)))) % 47.01/47.29 (assume @p242 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t520)) % 47.01/47.29 (assume @p243 (forall (@list @t47 @t48 @t51 @t71 @t15) (=> (tptp.class_Groups_Ominus @t15) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t72) @t51) @t48) @t47) (tptp.hAPP (tptp.hAPP @t565 @t52) @t49))))) % 47.01/47.29 (assume @p244 (forall @t67 (= (tptp.hAPP @t566 @t48) @t537))) % 47.01/47.29 (assume @p245 (forall (@list @t10 @t567 @t11 @t568) (= (= @t571 @t570) (and @t569 @t12)))) % 47.01/47.29 (assume @p246 (forall (@list @t474 @t277 @t276 @t278) (= (tptp.c_Natural_Oevaln @t572 @t277 @t474 @t277) (=> @t574 (exists @t475 (and @t573 (tptp.c_Natural_Oevaln @t572 @t473 @t474 @t277))))))) % 47.01/47.29 (assume @p247 (forall (@list @t575 @t474 @t277 @t276 @t278) (= (tptp.c_Natural_Oevaln @t572 @t277 @t474 @t575) (or (and (= @t575 @t277) @t576) (and @t574 (exists @t475 (and @t573 (tptp.c_Natural_Oevaln @t572 @t473 @t474 @t575)))))))) % 47.01/47.29 (assume @p248 (forall (@list @t488 @t365 @t369 @t254 @t113) (=> @t577 (=> @t556 (tptp.c_Natural_Oevaln @t113 @t254 @t488 @t365))))) % 47.01/47.29 (assume @p249 (forall @t170 (not (exists @t579 (= (tptp.hAPP (tptp.c_Set_Oimage @t15 @t54 @t578) @t51) @t552))))) % 47.01/47.29 (assume @p250 (forall @t316 (= @t538 (and @t284 @t287)))) % 47.01/47.29 (assume @p251 (forall @t316 (=> @t538 @t284))) % 47.01/47.29 (assume @p252 (forall @t316 (=> @t538 @t287))) % 47.01/47.29 (assume @p253 (forall @t170 (= (tptp.hAPP (tptp.hAPP @t529 @t289) @t51) @t289))) % 47.01/47.29 (assume @p254 (forall @t170 (= (tptp.hAPP @t530 @t289) @t51))) % 47.01/47.29 (assume @p255 (forall @t170 (= (tptp.hAPP @t530 @t51) @t289))) % 47.01/47.29 (assume @p256 (forall @t67 (tptp.hBOOL (tptp.hAPP @t580 @t51)))) % 47.01/47.29 (assume @p257 (forall (@list @t48 @t230 @t161 @t51 @t15) (=> @t162 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t230) @t48)) (tptp.hBOOL (tptp.hAPP @t580 (tptp.hAPP @t581 @t230))))))) % 47.01/47.29 (assume @p258 (forall @t164 (=> @t66 (=> @t163 (= (tptp.hAPP @t582 (tptp.hAPP @t581 @t51)) @t51))))) % 47.01/47.29 (assume @p259 (forall (@list @t583 @t369 @t254 @t113) (=> (tptp.c_Natural_Oevaln @t113 @t254 @t369 @t583) (tptp.c_Natural_Oevaln @t113 @t254 @t370 @t583)))) % 47.01/47.29 (assume @p260 (forall @t67 (= @t585 @t57))) % 47.01/47.29 (assume @p261 (forall @t93 (= (tptp.hAPP (tptp.hAPP @t55 @t584) @t51) @t183))) % 47.01/47.29 (assume @p262 (forall @t164 (= (tptp.hAPP (tptp.hAPP @t529 @t57) @t161) (tptp.hAPP (tptp.hAPP @t55 @t587) @t586)))) % 47.01/47.29 (assume @p263 (forall (@list @t365 @t369 @t254 @t113) (=> @t577 @t368))) % 47.01/47.29 (assume @p264 (forall (@list @t393 @t543 @t281) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t419 @t543) @t393)) (exists @t432 (tptp.c_Natural_Oevaln @t281 @t543 @t429 @t393))))) % 47.01/47.29 (assume @p265 (forall @t588 (not (= @t492 @t520)))) % 47.01/47.29 (assume @p266 (forall @t588 (not (= @t520 @t492)))) % 47.01/47.29 (assume @p267 (forall (@list @t589) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t589) @t520)))) % 47.01/47.29 (assume @p268 (forall (@list @t590) (not (= @t520 (tptp.hAPP tptp.c_Nat_OSuc @t590))))) % 47.01/47.29 (assume @p269 (forall (@list @t575 @t276 @t277 @t472 @t278) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi @t278 @t472) @t277 @t276 @t575) (exists @t475 (and (tptp.c_Natural_Oevaln @t278 @t277 @t276 @t473) (tptp.c_Natural_Oevaln @t472 @t473 @t276 @t575)))))) % 47.01/47.29 (assume @p270 (forall (@list @t592 @t591) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t591 @t592 @t591))) % 47.01/47.29 (assume @p271 (forall @t409 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t289) @t522)))) % 47.01/47.29 (assume @p272 (forall @t594 (= (tptp.hAPP @t521 @t289) (tptp.hAPP (tptp.hAPP @t593 @t289) @t551)))) % 47.01/47.29 (assume @p273 (forall @t320 (= (tptp.hAPP @t521 @t319) (tptp.hAPP @t596 (tptp.hAPP (tptp.c_Set_Oimage @t54 @t54 @t318) @t552))))) % 47.01/47.29 (assume @p274 (forall @t67 (=> @t542 @t66))) % 47.01/47.29 (assume @p275 (forall @t67 (= @t542 @t66))) % 47.01/47.29 (assume @p276 (forall @t92 (=> (= @t87 @t48) (= @t523 @t522)))) % 47.01/47.29 (assume @p277 (forall (@list @t472 @t277 @t276 @t278) (= (tptp.hBOOL (tptp.hAPP @t601 @t472)) (or (and (= @t472 @t277) @t576) (and @t574 (exists @t475 (and @t600 (tptp.hBOOL (tptp.hAPP @t598 @t472))))))))) % 47.01/47.29 (assume @p278 (forall (@list @t277 @t276 @t278) (= (tptp.hBOOL (tptp.hAPP @t601 @t277)) (=> @t574 (exists @t475 (and @t600 (tptp.hBOOL (tptp.hAPP @t598 @t277)))))))) % 47.01/47.29 (assume @p279 (forall (@list @t11 @t568 @t239) (not (= @t241 @t571)))) % 47.01/47.29 (assume @p280 (forall (@list @t239 @t11 @t568) (not (= @t571 @t241)))) % 47.01/47.29 (assume @p281 (forall (@list @t10 @t567 @t454 @t457) (not (= @t460 @t570)))) % 47.01/47.29 (assume @p282 (forall (@list @t454 @t457 @t10 @t567) (not (= @t570 @t460)))) % 47.01/47.29 (assume @p283 (forall @t602 (not (= tptp.c_Com_Ocom_OSKIP @t570)))) % 47.01/47.29 (assume @p284 (forall @t602 (not (= @t570 tptp.c_Com_Ocom_OSKIP)))) % 47.01/47.29 (assume @p285 (forall @t608 (=> @t607 (=> @t605 (= @t603 (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) @t35) tptp.c_Nat_OSuc)))))))) % 47.01/47.29 (assume @p286 (forall @t612 (and @t611 (=> @t356 (= @t610 (tptp.hAPP @t338 @t537)))))) % 47.01/47.29 (assume @p287 (forall @t612 @t611)) % 47.01/47.29 (assume @p288 (forall @t400 (= @t613 (tptp.hAPP @t566 @t335)))) % 47.01/47.29 (assume @p289 (forall @t400 (= @t613 (tptp.hAPP (tptp.hAPP @t529 @t614) @t48)))) % 47.01/47.29 (assume @p290 (forall @t320 (= @t615 @t319))) % 47.01/47.29 (assume @p291 (forall @t418 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t529 @t87) @t86)) (tptp.hAPP @t85 @t618))))) % 47.01/47.29 (assume @p292 (forall @t164 (= (tptp.hBOOL (tptp.hAPP @t580 @t161)) (tptp.hBOOL (tptp.hAPP @t65 @t180))))) % 47.01/47.29 (assume @p293 (forall @t67 (=> @t66 (= @t585 @t48)))) % 47.01/47.29 (assume @p294 (forall (@list @t34 @t281 @t35 @t260 @t15) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t260 @t435) (forall @t442 (=> @t441 (forall (@list @t619) (=> (tptp.c_Natural_Oevaln @t281 @t440 @t260 @t619) (tptp.hBOOL (tptp.hAPP @t438 @t619))))))))) % 47.01/47.29 (assume @p295 (forall @t67 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t552) @t522))))) % 47.01/47.29 (assume @p296 (forall @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 (tptp.hAPP @t596 @t522)) (tptp.hAPP @t521 @t57))))) % 47.01/47.29 (assume @p297 (forall @t332 (=> @t357 (= (tptp.hAPP @t609 @t384) @t51)))) % 47.01/47.29 (assume @p298 (forall @t320 (=> @t293 (= @t615 @t51)))) % 47.01/47.29 (assume @p299 (forall @t528 @t527)) % 47.01/47.29 (assume @p300 (forall @t528 @t525)) % 47.01/47.29 (assume @p301 (forall @t620 (= (tptp.c_Fun_Ooverride__on @t15 @t71 @t2 @t1 @t289) @t2))) % 47.01/47.29 (assume @p302 (forall @t385 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t15 @t622) @t47)) (tptp.hBOOL (tptp.hAPP @t621 @t552))))) % 47.01/47.29 (assume @p303 (forall (@list @t9 @t11 @t14 @t623 @t15) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t15 @t623 @t17) @t520))) % 47.01/47.29 (assume @p304 (forall @t364 (=> @t628 (= @t627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t625) @t624)))))) % 47.01/47.29 (assume @p305 (forall (@list @t9 @t11 @t14 @t15) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t21) @t17) @t520))) % 47.01/47.29 (assume @p306 (forall (@list @t249 @t369 @t254 @t255) (=> (tptp.c_Natural_Oevaln @t257 @t254 @t369 @t249) (not (forall @t432 (=> (= @t369 @t430) (not (tptp.c_Natural_Oevaln @t256 @t254 @t429 @t249)))))))) % 47.01/47.29 (assume @p307 (forall @t376 (= (tptp.c_Enum_Oenum__the @t15 @t35) @t629))) % 47.01/47.29 (assume @p308 (forall @t632 (and (=> @t631 (= @t630 @t294)) (=> (not @t631) (= @t630 (tptp.c_HOL_OThe @t15 (tptp.hAPP @t389 (tptp.hAPP @t530 @t350)))))))) % 47.01/47.29 (assume @p309 (forall @t364 (=> @t634 (= @t633 @t295)))) % 47.01/47.29 (assume @p310 (forall @t364 (=> @t635 (= @t295 @t633)))) % 47.01/47.29 (assume @p311 (forall @t159 (=> @t639 (= (tptp.hAPP @t638 @t112) @t636)))) % 47.01/47.29 (assume @p312 (forall @t159 (=> @t639 (= (tptp.hAPP @t638 @t636) @t112)))) % 47.01/47.29 (assume @p313 (forall @t352 (=> @t628 (=> @t642 (= @t627 @t641))))) % 47.01/47.29 (assume @p314 (forall @t494 (=> @t648 (=> (= @t645 @t520) @t557)))) % 47.01/47.29 (assume @p315 (forall @t588 (= (tptp.hAPP @t646 @t488) @t520))) % 47.01/47.29 (assume @p316 (forall @t588 (= (tptp.hAPP @t646 @t520) @t488))) % 47.01/47.29 (assume @p317 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t643 @t520) @t369) @t520))) % 47.01/47.29 (assume @p318 (forall @t494 (= (tptp.hAPP @t649 @t370) @t647))) % 47.01/47.29 (assume @p319 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t643 @t650) (tptp.hAPP tptp.c_Nat_OSuc @t558)) (tptp.hAPP (tptp.hAPP @t643 @t647) @t558)))) % 47.01/47.29 (assume @p320 (forall @t659 (=> @t658 (=> @t657 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t655) @t653)) @t503))))) % 47.01/47.29 (assume @p321 (forall @t662 (=> (tptp.hBOOL (tptp.hAPP @t660 @t488)) (=> @t661 (= (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP @t646 @t558)) (tptp.hAPP @t644 @t558)) @t647))))) % 47.01/47.29 (assume @p322 (forall @t659 (=> @t658 (=> @t657 (= (= @t655 @t653) @t663))))) % 47.01/47.29 (assume @p323 (forall @t665 (=> (tptp.hBOOL (tptp.hAPP @t560 @t369)) (= (tptp.hAPP @t644 @t664) @t559)))) % 47.01/47.29 (assume @p324 (forall @t667 (=> @t491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t646 @t666)) (tptp.hAPP @t644 @t666)))))) % 47.01/47.29 (assume @p325 (forall @t667 (=> @t491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t670) @t669))))) % 47.01/47.29 (assume @p326 (forall @t494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t647) @t488)))) % 47.01/47.29 (assume @p327 (forall @t494 (=> @t491 @t648))) % 47.01/47.29 (assume @p328 (forall @t505 (= (= @t671 @t520) @t503))) % 47.01/47.29 (assume @p329 (forall @t672 (=> @t556 (= @t650 (tptp.hAPP tptp.c_Nat_OSuc @t647))))) % 47.01/47.29 (assume @p330 (forall @t324 (=> (tptp.class_Groups_Ozero @t15) (= (= @t624 @t47) @t673)))) % 47.01/47.29 (assume @p331 (forall @t352 (=> @t635 (=> @t642 (= @t295 @t674))))) % 47.01/47.29 (assume @p332 (forall (@list @t128 @t2 @t71 @t51 @t47 @t15) (and (=> @t331 (= @t676 (tptp.hAPP (tptp.hAPP @t378 @t128) (tptp.hAPP @t220 @t531)))) (=> @t357 (= @t676 @t222))))) % 47.01/47.29 (assume @p333 (forall @t324 (= (tptp.c_HOL_OThe @t15 @t677) @t47))) % 47.01/47.29 (assume @p334 (forall @t292 (= (tptp.c_HOL_OThe @t15 @t680) @t290))) % 47.01/47.29 (assume @p335 (forall @t505 (= @t681 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t502 @t260))))) % 47.01/47.29 (assume @p336 (forall @t689 (=> @t688 (=> @t686 (=> @t685 (=> (tptp.hBOOL (tptp.hAPP @t684 (tptp.hAPP @t2 @t683))) @t293)))))) % 47.01/47.29 (assume @p337 (forall @t692 (=> @t686 (=> @t685 (=> (tptp.hBOOL (tptp.hAPP @t684 @t691)) @t690))))) % 47.01/47.29 (assume @p338 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t694 @t354)) (and (=> @t355 @t695) (=> @t356 (and (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t693 @t531) @t48))) @t534)))))) % 47.01/47.29 (assume @p339 (forall @t697 (=> @t331 (=> (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t2 @t202 @t531 @t128) (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t2 @t202 @t51 @t696))))) % 47.01/47.29 (assume @p340 (forall (@list @t508 @t2 @t51 @t15) (=> @t703 (=> @t702 (=> @t700 (=> (tptp.hBOOL (tptp.hAPP @t698 (tptp.hAPP @t2 (tptp.hAPP @t699 @t51)))) (tptp.hBOOL (tptp.hAPP @t698 @t51)))))))) % 47.01/47.29 (assume @p341 (forall @t707 (=> @t703 (=> @t706 (=> @t700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t704) @t705))))))) % 47.01/47.29 (assume @p342 (forall @t708 (= (tptp.c_Fun_Ofun__upd @t15 @t71 @t2 @t47 @t69) @t2))) % 47.01/47.29 (assume @p343 (forall @t564 (= @t711 (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP @t709 @t558)) @t561)))) % 47.01/47.29 (assume @p344 (forall @t80 (=> @t79 (not (tptp.hBOOL (tptp.hAPP @t713 @t75)))))) % 47.01/47.29 (assume @p345 (forall @t138 (=> @t720 (= @t719 (or @t718 @t716))))) % 47.01/47.29 (assume @p346 (forall @t138 (=> @t720 (= @t721 (or @t716 @t129))))) % 47.01/47.29 (assume @p347 (forall @t100 (=> @t99 (or @t724 @t107 @t723)))) % 47.01/47.29 (assume @p348 (forall @t137 (=> @t720 (=> (not @t716) @t725)))) % 47.01/47.29 (assume @p349 (forall @t100 (=> @t99 @t728))) % 47.01/47.29 (assume @p350 (forall @t100 (=> @t105 (=> @t724 @t727)))) % 47.01/47.29 (assume @p351 (forall @t100 (=> @t79 (=> @t724 (not @t723))))) % 47.01/47.29 (assume @p352 (forall @t100 (=> @t105 (=> @t724 (not (= @t95 @t75)))))) % 47.01/47.29 (assume @p353 (forall @t155 (=> @t79 (=> @t732 (not @t730))))) % 47.01/47.29 (assume @p354 (forall @t733 (=> @t105 (=> @t730 (not @t732))))) % 47.01/47.29 (assume @p355 (forall @t125 (=> @t124 (=> @t126 (=> @t735 @t734))))) % 47.01/47.29 (assume @p356 (forall @t125 (=> @t105 (=> @t126 (=> (tptp.hBOOL (tptp.hAPP @t736 @t116)) @t737))))) % 47.01/47.29 (assume @p357 (forall @t164 (=> @t695 @t739))) % 47.01/47.29 (assume @p358 (forall @t125 (=> @t124 (=> @t732 (=> @t117 @t734))))) % 47.01/47.29 (assume @p359 (forall @t120 (=> @t105 (=> @t730 (=> @t117 @t737))))) % 47.01/47.29 (assume @p360 (forall @t111 (=> @t79 (=> @t724 @t741)))) % 47.01/47.29 (assume @p361 (forall @t106 (=> @t105 (=> @t723 @t744)))) % 47.01/47.29 (assume @p362 (forall @t100 (=> @t99 (=> @t726 (=> @t727 @t723))))) % 47.01/47.29 (assume @p363 (forall @t746 (= (= @t675 @t2) @t745))) % 47.01/47.29 (assume @p364 (forall @t747 (= (tptp.c_Fun_Ofun__upd @t15 @t71 @t675 @t47 @t202) (tptp.c_Fun_Ofun__upd @t15 @t71 @t2 @t47 @t202)))) % 47.01/47.29 (assume @p365 (forall @t413 (= (tptp.hAPP @t748 @t47) @t128))) % 47.01/47.29 (assume @p366 (forall @t753 (and (=> @t751 (= @t750 @t128)) @t752))) % 47.01/47.29 (assume @p367 (forall (@list @t345 @t294 @t496 @t71 @t15 @t281 @t290) (=> (not @t347) (= (tptp.c_Fun_Ofun__upd @t15 @t71 (tptp.c_Fun_Ofun__upd @t15 @t71 @t496 @t290 @t294) @t281 @t345) (tptp.c_Fun_Ofun__upd @t15 @t71 (tptp.c_Fun_Ofun__upd @t15 @t71 @t496 @t281 @t345) @t290 @t294))))) % 47.01/47.29 (assume @p368 (forall @t753 @t752)) % 47.01/47.29 (assume @p369 (forall (@list @t15 @t71 @t128 @t47 @t2) (=> @t745 (= @t748 @t2)))) % 47.01/47.29 (assume @p370 (forall (@list @t294 @t2 @t71 @t15 @t290 @t47) (and (=> @t755 (= @t754 @t294)) (=> (not @t755) (= @t754 @t69))))) % 47.01/47.29 (assume @p371 (forall @t756 (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t2 @t202 @t289 @t202))) % 47.01/47.29 (assume @p372 (forall (@list @t277 @t278 @t71 @t15) (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t278 @t277 @t289 @t277))) % 47.01/47.29 (assume @p373 (forall @t219 (=> @t217 (= @t757 (and @t216 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t215 @t1) @t2)))))))) % 47.01/47.29 (assume @p374 (forall @t138 (=> @t720 (= @t721 @t135)))) % 47.01/47.29 (assume @p375 (forall @t138 (=> @t720 (= (not @t132) @t716)))) % 47.01/47.29 (assume @p376 (forall @t100 (=> @t99 (or @t98 @t723)))) % 47.01/47.29 (assume @p377 (forall @t138 (=> @t136 (= @t718 (and @t132 @t719))))) % 47.01/47.29 (assume @p378 (forall @t138 (=> (tptp.class_Orderings_Opreorder @t15) (= @t718 (and @t132 (not @t135)))))) % 47.01/47.29 (assume @p379 (forall @t138 (=> @t136 (= @t132 (or @t718 @t129))))) % 47.01/47.29 (assume @p380 (forall @t100 (=> @t99 (=> @t726 @t97)))) % 47.01/47.29 (assume @p381 (forall @t108 (=> @t99 (=> (not @t97) @t724)))) % 47.01/47.29 (assume @p382 (forall @t138 (=> @t720 (=> @t721 @t133)))) % 47.01/47.29 (assume @p383 (forall @t155 (=> @t105 (=> @t758 (=> @t123 @t732))))) % 47.01/47.29 (assume @p384 (forall @t155 (=> @t105 (=> @t758 (=> @t119 @t730))))) % 47.01/47.29 (assume @p385 (forall @t108 (=> @t99 (=> @t97 @t726)))) % 47.01/47.29 (assume @p386 (forall @t100 (=> @t79 (=> @t724 @t98)))) % 47.01/47.29 (assume @p387 (forall @t138 (=> @t720 (=> @t132 @t725)))) % 47.01/47.29 (assume @p388 (forall @t100 (=> @t105 (=> @t98 (or @t724 @t107))))) % 47.01/47.29 (assume @p389 (forall @t155 (=> @t105 (=> @t123 (=> @t758 @t732))))) % 47.01/47.29 (assume @p390 (forall @t733 (=> @t105 (=> @t119 (=> @t758 @t730))))) % 47.01/47.29 (assume @p391 (forall @t111 (=> @t79 (=> @t724 (=> @t110 @t740))))) % 47.01/47.29 (assume @p392 (forall @t106 (=> @t105 (=> @t723 (=> @t104 @t743))))) % 47.01/47.29 (assume @p393 (forall @t111 (=> @t79 (=> @t98 @t741)))) % 47.01/47.29 (assume @p394 (forall @t106 (=> @t105 (=> @t97 @t744)))) % 47.01/47.29 (assume @p395 (forall @t308 (=> @t695 @t307))) % 47.01/47.29 (assume @p396 (forall @t170 (not (tptp.hBOOL (tptp.hAPP @t694 @t289))))) % 47.01/47.29 (assume @p397 (forall @t352 (=> @t628 (=> @t642 (= @t762 @t760))))) % 47.01/47.29 (assume @p398 (forall @t201 (=> @t146 (=> @t764 @t763)))) % 47.01/47.29 (assume @p399 (forall @t199 (=> @t146 (=> @t765 @t763)))) % 47.01/47.29 (assume @p400 (forall @t67 (= @t695 (and @t66 (not @t61))))) % 47.01/47.29 (assume @p401 (forall @t67 (= @t66 (or @t695 @t61)))) % 47.01/47.29 (assume @p402 (forall @t67 (=> @t695 @t66))) % 47.01/47.29 (assume @p403 (forall @t164 (=> @t695 (=> @t163 @t738)))) % 47.01/47.29 (assume @p404 (forall @t164 (=> @t66 @t739))) % 47.01/47.29 (assume @p405 (forall @t707 (=> @t703 (=> (tptp.hBOOL (tptp.hAPP @t698 @t767)) @t766)))) % 47.01/47.29 (assume @p406 (forall (@list @t35 @t469 @t15) (=> @t468 (=> (tptp.hBOOL (tptp.hAPP @t768 @t465)) (not @t470))))) % 47.01/47.29 (assume @p407 (forall @t769 (=> @t703 (=> @t702 (=> @t700 (= @t51 @t265)))))) % 47.01/47.29 (assume @p408 (forall @t433 (=> @t703 (=> @t700 (= @t701 @t770))))) % 47.01/47.29 (assume @p409 (forall @t364 (=> @t628 (= @t762 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t625) @t624)))))) % 47.01/47.29 (assume @p410 (forall (@list @t2 @t508 @t290 @t15) (=> @t685 (=> (tptp.hBOOL (tptp.hAPP @t684 @t767)) @t690)))) % 47.01/47.29 (assume @p411 (forall @t772 (= (tptp.c_Nat_Onat_Onat__case @t15 @t81 @t771 @t520) @t81))) % 47.01/47.29 (assume @p412 (forall @t774 (= (tptp.c_Nat_Onat_Onat__case @t15 @t81 @t771 @t486) @t773))) % 47.01/47.29 (assume @p413 (forall @t433 (=> @t703 (=> @t700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t701) @t770)))))) % 47.01/47.29 (assume @p414 (forall @t433 (=> @t703 (=> @t700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t770) @t701)))))) % 47.01/47.29 (assume @p415 (forall (@list @t2 @t1 @t71 @t508 @t290 @t15) (=> @t685 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t775) (tptp.hAPP @t2 @t775))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t526) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t88 @t2))))))) % 47.01/47.29 (assume @p416 (forall @t692 (=> @t686 (=> @t690 (tptp.hBOOL (tptp.hAPP @t291 @t691)))))) % 47.01/47.29 (assume @p417 (forall (@list @t508 @t2 @t15) (=> @t703 (=> @t700 (=> @t706 @t766))))) % 47.01/47.29 (assume @p418 (forall @t692 (=> @t686 (=> @t685 (=> @t782 @t690))))) % 47.01/47.29 (assume @p419 (forall @t689 (=> @t688 (=> @t686 (=> @t685 (=> (tptp.hBOOL (tptp.hAPP @t684 (tptp.hAPP @t2 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t54 (tptp.hAPP @t779 @t51))))) @t293)))))) % 47.01/47.29 (assume @p420 (forall (@list @t472 @t278 @t277 @t474 @t276 @t71 @t15) (= (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t276 @t474 @t277 @t786) (or (and @t788 (= @t786 @t474)) (exists @t787 (and (= @t786 (tptp.hAPP (tptp.hAPP @t276 @t3) @t783)) (tptp.hBOOL (tptp.hAPP @t174 @t277)) (tptp.c_Nitpick_Ofold__graph_H @t15 @t71 @t276 @t474 (tptp.hAPP (tptp.hAPP @t529 @t277) @t785) @t783))))))) % 47.01/47.29 (assume @p421 (forall @t707 (=> @t782 (=> @t686 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t780) @t781)))))) % 47.01/47.29 (assume @p422 (forall @t505 (= (tptp.hAPP @t654 @t261) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t520 @t789 @t671)))) % 47.01/47.29 (assume @p423 (forall @t219 (=> @t275 (= @t757 (and @t216 (tptp.hBOOL (tptp.hAPP @t793 (tptp.hAPP @t792 (tptp.hAPP (tptp.hAPP @t271 @t790) @t1))))))))) % 47.01/47.29 (assume @p424 (forall (@list @t2 @t51 @t290 @t15) (and (=> @t293 (= @t797 (tptp.hAPP @t798 @t397))) (=> @t359 (= @t797 @t796))))) % 47.01/47.29 (assume @p425 (forall @t801 (= (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t319) (and @t800 (not (tptp.hBOOL (tptp.hAPP @t799 (tptp.hAPP @t220 @t614)))))))) % 47.01/47.29 (assume @p426 (forall (@list @t496 @t34 @t260 @t35) (=> @t607 (=> (tptp.hBOOL (tptp.hAPP @t34 @t496)) (=> @t605 (=> (forall @t804 (= (tptp.hBOOL (tptp.hAPP @t35 @t803)) (tptp.hBOOL (tptp.hAPP @t34 @t802)))) (= @t603 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t34))))))))) % 47.01/47.29 (assume @p427 (forall @t815 (= @t814 (tptp.c_HOL_OThe @t15 @t812)))) % 47.01/47.29 (assume @p428 (forall @t483 (not (tptp.hBOOL (tptp.hAPP @t817 @t520))))) % 47.01/47.29 (assume @p429 (forall @t483 (tptp.hBOOL (tptp.hAPP @t817 @t370)))) % 47.01/47.29 (assume @p430 (forall @t494 (=> @t821 @t819))) % 47.01/47.29 (assume @p431 (forall @t483 (tptp.hBOOL (tptp.hAPP @t822 @t370)))) % 47.01/47.29 (assume @p432 (forall @t823 (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t289))) % 47.01/47.29 (assume @p433 (forall @t835 (=> @t834 (= @t833 (tptp.hAPP (tptp.hAPP @t827 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t184 @t88 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t72 (tptp.tc_fun @t88 @t15) @t184) @t826) @t825)) @t51)) @t48))))) % 47.01/47.29 (assume @p434 (forall @t406 (= @t800 (forall @t7 (=> @t176 (forall @t426 (=> @t838 (=> (= @t5 @t837) @t836)))))))) % 47.01/47.29 (assume @p435 (forall @t170 (tptp.c_Fun_Oinj__on @t15 @t15 @t237 @t51))) % 47.01/47.29 (assume @p436 (forall @t839 (=> @t800 (=> @t331 (= (tptp.hAPP @t813 @t69) @t47))))) % 47.01/47.29 (assume @p437 (forall @t841 (=> @t800 (=> @t745 (=> @t331 (= @t840 @t47)))))) % 47.01/47.29 (assume @p438 (forall @t376 (=> @t273 (= @t842 @t467)))) % 47.01/47.29 (assume @p439 (forall @t376 (=> @t273 (= @t467 @t842)))) % 47.01/47.29 (assume @p440 (forall @t406 (=> @t800 (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 @t813) @t222) @t51)))) % 47.01/47.29 (assume @p441 (forall @t406 (=> @t800 (tptp.c_Fun_Oinj__on @t71 @t15 @t813 @t222)))) % 47.01/47.29 (assume @p442 (forall (@list @t393 @t15) (=> @t703 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t15 (tptp.hAPP (tptp.c_COMBK @t15 @t15) @t393)) @t393)))) % 47.01/47.29 (assume @p443 (forall @t841 (=> @t800 (=> @t719 (=> @t331 (=> @t361 @t844)))))) % 47.01/47.29 (assume @p444 (forall @t841 (=> @t800 (=> @t331 (=> @t361 @t845))))) % 47.01/47.29 (assume @p445 (forall @t841 (=> @t800 (=> @t843 (=> @t331 (=> @t361 @t129)))))) % 47.01/47.29 (assume @p446 (forall @t847 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t846))) % 47.01/47.29 (assume @p447 (forall @t849 (=> @t848 (=> @t66 @t800)))) % 47.01/47.29 (assume @p448 (forall @t418 (=> @t800 (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t537)))) % 47.01/47.29 (assume @p449 (forall (@list @t128 @t51 @t2 @t71 @t15) (=> @t800 (=> @t851 (= (tptp.hAPP @t2 @t840) @t128))))) % 47.01/47.29 (assume @p450 (forall @t483 (=> @t854 @t852))) % 47.01/47.29 (assume @p451 (forall @t494 (=> @t821 @t854))) % 47.01/47.29 (assume @p452 (forall @t555 (= @t856 @t855))) % 47.01/47.29 (assume @p453 (forall @t505 (= (not @t860) @t858))) % 47.01/47.29 (assume @p454 (forall @t505 (= @t862 @t861))) % 47.01/47.29 (assume @p455 (forall @t505 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t499) @t261)) @t860))) % 47.01/47.29 (assume @p456 (forall @t501 (=> @t866 @t864))) % 47.01/47.29 (assume @p457 (forall @t672 (=> (not @t867) (=> (tptp.hBOOL (tptp.hAPP @t817 @t492)) @t557)))) % 47.01/47.29 (assume @p458 (forall @t494 (=> @t821 @t868))) % 47.01/47.29 (assume @p459 (forall @t494 (=> @t821 (=> (not (= @t492 @t369)) @t869)))) % 47.01/47.29 (assume @p460 (forall @t564 (=> @t874 (=> @t872 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t870) @t558)))))) % 47.01/47.29 (assume @p461 (forall @t494 (=> @t868 (=> @t875 @t557)))) % 47.01/47.29 (assume @p462 (forall @t494 (=> @t869 @t821))) % 47.01/47.29 (assume @p463 (forall @t494 (=> @t819 @t821))) % 47.01/47.29 (assume @p464 (forall @t494 (=> (or @t821 @t557) @t491))) % 47.01/47.29 (assume @p465 (forall @t494 (=> @t491 (=> @t876 @t821)))) % 47.01/47.29 (assume @p466 (forall @t494 (=> @t821 @t491))) % 47.01/47.29 (assume @p467 (forall @t505 (= @t503 @t861))) % 47.01/47.29 (assume @p468 (forall @t505 (= @t860 (and @t503 @t877)))) % 47.01/47.29 (assume @p469 (forall @t667 (=> @t821 (=> (tptp.hBOOL (tptp.hAPP @t820 @t666)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t670) @t669)))))) % 47.01/47.29 (assume @p470 (forall (@list @t369 @t558 @t561) (=> @t872 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t878 @t369)) @t558))))) % 47.01/47.29 (assume @p471 (forall @t881 (=> @t834 (= (tptp.hAPP (tptp.hAPP @t826 @t880) @t51) @t624)))) % 47.01/47.29 (assume @p472 (forall @t890 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t826 @t889) @t51) (tptp.hAPP (tptp.hAPP @t565 @t885) @t883))))) % 47.01/47.29 (assume @p473 (forall @t893 (=> @t703 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t265) @t51)) (tptp.hBOOL (tptp.hAPP @t892 @t51)))))) % 47.01/47.29 (assume @p474 (forall (@list @t48 @t47 @t51 @t2 @t71 @t15) (=> @t800 (=> @t894 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t814) @t48))))))) % 47.01/47.29 (assume @p475 (forall @t823 (=> @t834 (= (tptp.hAPP @t884 @t377) @t624)))) % 47.01/47.29 (assume @p476 (forall @t895 (=> @t834 (= (tptp.hAPP @t882 @t377) @t624)))) % 47.01/47.29 (assume @p477 (forall @t418 (=> @t897 @t896))) % 47.01/47.29 (assume @p478 (forall @t433 (=> @t703 (=> @t700 (= @t891 @t898))))) % 47.01/47.29 (assume @p479 (forall (@list @t2 @t899 @t15) (=> @t703 (=> (= @t899 @t891) (=> @t700 (= @t899 (tptp.hAPP @t2 @t899))))))) % 47.01/47.29 (assume @p480 (forall @t849 (=> @t848 (=> @t695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t88) @t222) @t221)))))) % 47.01/47.29 (assume @p481 (forall @t505 (= @t862 (or @t903 (exists @t902 (and (= @t496 (tptp.hAPP tptp.c_Nat_OSuc @t900)) (tptp.hBOOL (tptp.hAPP @t901 @t260)))))))) % 47.01/47.29 (assume @p482 (forall @t555 (= (tptp.hBOOL (tptp.hAPP @t857 @t904)) @t554))) % 47.01/47.29 (assume @p483 (forall @t555 (= @t855 (exists @t907 @t906)))) % 47.01/47.29 (assume @p484 (forall @t494 (=> @t493 @t821))) % 47.01/47.29 (assume @p485 (forall @t505 (=> @t503 @t864))) % 47.01/47.29 (assume @p486 (forall @t494 (=> @t821 @t493))) % 47.01/47.29 (assume @p487 (forall @t494 (=> @t491 @t868))) % 47.01/47.29 (assume @p488 (forall @t505 (= @t681 @t860))) % 47.01/47.29 (assume @p489 (forall @t505 (= @t862 @t503))) % 47.01/47.29 (assume @p490 (forall @t501 (= @t865 @t506))) % 47.01/47.29 (assume @p491 (forall @t672 (=> @t852 (=> @t909 (tptp.hBOOL (tptp.hAPP @t908 @t488)))))) % 47.01/47.29 (assume @p492 (forall @t501 (= (tptp.hBOOL (tptp.hAPP @t822 @t910)) @t860))) % 47.01/47.29 (assume @p493 (forall @t494 (tptp.hBOOL (tptp.hAPP @t908 @t492)))) % 47.01/47.29 (assume @p494 (forall @t659 (=> @t658 (=> @t657 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t655) @t653)) @t860))))) % 47.01/47.29 (assume @p495 (forall @t911 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t112) @t116)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t113) @t112)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP (tptp.hAPP @t643 @t112) @t113)) (tptp.hAPP (tptp.hAPP @t643 @t116) @t113))))))) % 47.01/47.29 (assume @p496 (forall @t555 (= @t857 @t500))) % 47.01/47.29 (assume @p497 (forall @t915 (=> @t914 (=> @t162 (=> @t163 @t913))))) % 47.01/47.29 (assume @p498 (forall (@list @t47 @t128 @t51 @t2 @t71 @t15) (=> @t800 (=> (not @t851) (tptp.c_Fun_Oinj__on @t15 @t71 @t675 @t51))))) % 47.01/47.29 (assume @p499 (forall @t483 (=> @t852 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t644 @t904)) @t369)))) % 47.01/47.29 (assume @p500 (forall (@list @t559 @t369) (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t644 @t870)) @t369))))) % 47.01/47.29 (assume @p501 (forall @t433 (=> @t703 (=> @t700 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t898) @t891)))))) % 47.01/47.29 (assume @p502 (forall @t433 (=> @t703 (=> @t700 (tptp.hBOOL (tptp.hAPP @t892 @t898)))))) % 47.01/47.29 (assume @p503 (forall (@list @t916 @t71 @t15 @t51) (=> @t329 (= (exists @t579 (and @t919 (tptp.hBOOL (tptp.hAPP @t918 @t916)))) (exists (@list @t917) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 @t917) @t916) @t51)))))) % 47.01/47.29 (assume @p504 (forall @t930 (=> @t929 (=> @t928 (and @t926 (=> @t359 (= @t923 @t922))))))) % 47.01/47.29 (assume @p505 (forall @t930 (=> (tptp.class_Rings_Oring @t71) (=> @t928 @t926)))) % 47.01/47.29 (assume @p506 (forall @t418 (= @t897 (and @t800 @t848 (= (tptp.hAPP (tptp.hAPP @t931 @t912) (tptp.hAPP @t220 @t584)) @t377))))) % 47.01/47.29 (assume @p507 (forall @t941 (=> @t940 (=> @t800 (=> @t939 (=> (forall @t938 (=> @t937 (= (tptp.hAPP @t1 @t935) (tptp.hAPP @t899 (tptp.hAPP @t2 @t935))))) (= (tptp.hAPP @t934 @t48) (tptp.hAPP (tptp.hAPP @t932 @t1) @t51)))))))) % 47.01/47.29 (assume @p508 (forall (@list @t2 @t51 @t48 @t15) (=> @t943 (=> @t64 (= (tptp.hAPP @t795 @t537) (tptp.hAPP @t798 @t942)))))) % 47.01/47.29 (assume @p509 (forall @t945 (=> @t929 (=> @t928 (=> @t64 (= (tptp.hAPP @t921 @t537) (tptp.hAPP @t925 @t944))))))) % 47.01/47.29 (assume @p510 (forall (@list @t1 @t2 @t946 @t15 @t71) (=> @t955 (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t951 @t946)) (tptp.hBOOL (tptp.hAPP @t950 (tptp.hAPP @t1 @t948))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 (tptp.hAPP @t921 @t946)) (tptp.hAPP @t947 @t946))))))) % 47.01/47.29 (assume @p511 (forall @t960 (= (tptp.c_Partial__Function_Omk__less @t15 @t387 @t47 @t128) (and @t959 (not @t957))))) % 47.01/47.29 (assume @p512 (forall (@list @t260 @t51 @t2 @t15) (=> (= @t796 @t261) (exists @t7 (and @t176 @t961))))) % 47.01/47.29 (assume @p513 (forall (@list @t15 @t48 @t47 @t51) (=> @t53 (=> @t50 @t965)))) % 47.01/47.29 (assume @p514 (forall @t59 (=> @t965 (not (=> @t53 @t60))))) % 47.01/47.29 (assume @p515 (forall @t316 (=> @t284 (=> @t283 @t966)))) % 47.01/47.29 (assume @p516 (forall @t316 (=> @t966 (not @t288)))) % 47.01/47.29 (assume @p517 (forall @t483 (not (tptp.hBOOL (tptp.hAPP @t817 @t369))))) % 47.01/47.29 (assume @p518 (forall @t505 (= @t877 (or @t860 @t865)))) % 47.01/47.29 (assume @p519 (forall @t487 (=> @t727 (=> (not @t968) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t95) @t75)))))) % 47.01/47.29 (assume @p520 (forall @t672 (=> @t867 @t876))) % 47.01/47.29 (assume @p521 (forall @t452 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t254) @t365)) (not (= @t254 @t365))))) % 47.01/47.29 (assume @p522 (forall (@list @t35 @t260 @t496) (=> (=> @t860 @t969) (=> (=> @t663 @t969) (=> (=> @t865 @t969) @t969))))) % 47.01/47.29 (assume @p523 (forall @t170 (= (tptp.hAPP @t963 @t51) @t51))) % 47.01/47.29 (assume @p524 (forall @t159 (=> @t972 (= (tptp.hAPP @t971 @t112) @t112)))) % 47.01/47.29 (assume @p525 (forall @t80 (=> @t972 @t974))) % 47.01/47.29 (assume @p526 (forall @t74 (=> @t73 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t72) @t2) @t1) @t47) (tptp.hAPP (tptp.hAPP @t975 @t69) @t68))))) % 47.01/47.29 (assume @p527 (forall @t67 (= @t964 @t977))) % 47.01/47.29 (assume @p528 (forall @t155 (=> @t972 (= @t979 (tptp.hAPP @t978 @t112))))) % 47.01/47.29 (assume @p529 (forall @t100 (=> @t147 @t983))) % 47.01/47.29 (assume @p530 (forall @t100 (=> @t972 @t983))) % 47.01/47.29 (assume @p531 (forall @t67 (= (tptp.hAPP @t963 @t964) @t964))) % 47.01/47.29 (assume @p532 (forall @t155 (=> @t972 (= (tptp.hAPP @t971 @t979) @t979)))) % 47.01/47.29 (assume @p533 (forall @t100 (=> @t147 @t984))) % 47.01/47.29 (assume @p534 (forall @t100 (=> @t972 @t984))) % 47.01/47.29 (assume @p535 (forall @t164 (= @t987 (tptp.hAPP @t976 @t985)))) % 47.01/47.29 (assume @p536 (forall @t120 (=> @t972 (= (tptp.hAPP @t978 (tptp.hAPP @t971 @t113)) @t988)))) % 47.01/47.29 (assume @p537 (forall @t111 (=> @t147 @t992))) % 47.01/47.29 (assume @p538 (forall @t111 (=> @t972 @t992))) % 47.01/47.29 (assume @p539 (forall @t164 (= (tptp.hAPP (tptp.hAPP @t962 @t964) @t161) @t987))) % 47.01/47.29 (assume @p540 (forall @t125 (=> @t972 (= (tptp.hAPP (tptp.hAPP @t970 @t979) @t113) @t988)))) % 47.01/47.29 (assume @p541 (forall @t111 (=> @t147 @t993))) % 47.01/47.29 (assume @p542 (forall @t111 (=> @t972 @t993))) % 47.01/47.29 (assume @p543 (forall @t59 (=> @t965 @t53))) % 47.01/47.29 (assume @p544 (forall @t59 (=> @t965 @t50))) % 47.01/47.29 (assume @p545 (forall @t80 (=> @t147 @t974))) % 47.01/47.29 (assume @p546 (forall @t67 (= (tptp.hAPP @t521 @t964) (tptp.hAPP (tptp.hAPP @t994 @t552) @t522)))) % 47.01/47.29 (assume @p547 (forall @t100 (=> @t147 @t996))) % 47.01/47.29 (assume @p548 (forall @t100 (=> @t972 @t996))) % 47.01/47.29 (assume @p549 (forall @t100 (=> @t147 @t997))) % 47.01/47.29 (assume @p550 (forall @t100 (=> @t972 @t997))) % 47.01/47.29 (assume @p551 (forall @t138 (=> @t1000 (= @t132 (= @t999 @t47))))) % 47.01/47.29 (assume @p552 (forall @t209 (=> @t1000 (= (tptp.hBOOL (tptp.hAPP @t131 (tptp.hAPP (tptp.hAPP @t975 @t128) @t202))) @t1001)))) % 47.01/47.29 (assume @p553 (forall @t196 (=> @t972 (=> @t188 @t1003)))) % 47.01/47.29 (assume @p554 (forall @t1004 (=> @t972 (=> @t187 @t1003)))) % 47.01/47.29 (assume @p555 (forall @t100 (=> @t972 (=> @t98 (= @t982 @t75))))) % 47.01/47.29 (assume @p556 (forall @t108 (=> @t972 (=> @t97 (= @t982 @t95))))) % 47.01/47.29 (assume @p557 (forall @t201 (=> @t972 (=> @t200 (=> @t198 @t1005))))) % 47.01/47.29 (assume @p558 (forall @t111 (=> @t972 (=> @t98 (=> @t109 (tptp.hBOOL (tptp.hAPP @t78 @t990))))))) % 47.01/47.29 (assume @p559 (forall @t195 (=> @t972 (=> @t122 (=> @t194 (tptp.hBOOL (tptp.hAPP @t1002 (tptp.hAPP (tptp.hAPP @t970 @t113) @t193)))))))) % 47.01/47.29 (assume @p560 (forall @t201 (=> @t972 (=> @t1005 @t1006)))) % 47.01/47.29 (assume @p561 (forall @t196 (=> @t972 (=> @t1008 @t1007)))) % 47.01/47.29 (assume @p562 (forall @t1004 (=> @t972 (=> @t1009 @t1007)))) % 47.01/47.29 (assume @p563 (forall @t80 (=> @t416 (= (tptp.hAPP (tptp.hAPP @t970 @t415) @t75) @t415)))) % 47.01/47.29 (assume @p564 (forall @t80 (=> @t416 (= (tptp.hAPP @t973 @t415) @t415)))) % 47.01/47.29 (assume @p565 (forall @t100 (=> @t147 (= (tptp.hAPP @t973 @t144) @t75)))) % 47.01/47.29 (assume @p566 (forall @t100 (=> @t147 (= (tptp.hAPP @t142 @t982) @t75)))) % 47.01/47.29 (assume @p567 (forall @t111 (=> @t1012 (= @t1011 @t1010)))) % 47.01/47.29 (assume @p568 (forall @t111 (=> @t1012 (= @t1014 @t1013)))) % 47.01/47.29 (assume @p569 (forall @t1015 (=> @t1012 (= (tptp.hAPP (tptp.hAPP @t970 @t141) @t75) (tptp.hAPP (tptp.hAPP @t139 @t981) (tptp.hAPP (tptp.hAPP @t970 @t101) @t75)))))) % 47.01/47.29 (assume @p570 (forall @t1015 (=> @t1012 (= (tptp.hAPP (tptp.hAPP @t139 @t990) @t75) (tptp.hAPP (tptp.hAPP @t970 @t156) (tptp.hAPP (tptp.hAPP @t139 @t101) @t75)))))) % 47.01/47.29 (assume @p571 (forall @t316 (= @t966 (and @t284 @t283)))) % 47.01/47.29 (assume @p572 (forall @t316 (=> @t966 @t284))) % 47.01/47.29 (assume @p573 (forall @t316 (=> @t966 @t283))) % 47.01/47.29 (assume @p574 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t962 @t289) @t48) @t289))) % 47.01/47.29 (assume @p575 (forall @t170 (= (tptp.hAPP @t963 @t289) @t289))) % 47.01/47.29 (assume @p576 (forall @t67 (= @t1017 (forall @t7 (=> @t176 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 @t48)) @t1016))))))) % 47.01/47.29 (assume @p577 (forall @t1019 (= (tptp.hAPP (tptp.hAPP @t962 @t319) @t325) @t1018))) % 47.01/47.29 (assume @p578 (forall @t67 (tptp.hBOOL (tptp.hAPP @t1020 @t51)))) % 47.01/47.29 (assume @p579 (forall @t67 (tptp.hBOOL (tptp.hAPP @t1020 @t48)))) % 47.01/47.29 (assume @p580 (forall @t67 (=> @t66 (= @t964 @t51)))) % 47.01/47.29 (assume @p581 (forall @t93 (=> @t64 (= @t964 @t48)))) % 47.01/47.29 (assume @p582 (forall @t1022 (=> @t1021 (=> (tptp.hBOOL (tptp.hAPP @t396 @t48)) (tptp.hBOOL (tptp.hAPP @t396 @t964)))))) % 47.01/47.29 (assume @p583 (forall @t234 (=> @t162 (=> @t233 (tptp.hBOOL (tptp.hAPP @t1020 (tptp.hAPP @t1023 @t230))))))) % 47.01/47.29 (assume @p584 (forall @t164 (= @t1025 (tptp.hAPP @t1024 @t985)))) % 47.01/47.29 (assume @p585 (forall @t164 (= (tptp.hAPP @t56 @t986) (tptp.hAPP @t1026 @t182)))) % 47.01/47.29 (assume @p586 (forall @t1028 (= (tptp.hAPP (tptp.hAPP @t962 @t180) @t51) (tptp.hAPP (tptp.hAPP @t55 @t977) @t1027)))) % 47.01/47.29 (assume @p587 (forall @t1028 (= (tptp.hAPP (tptp.hAPP @t55 @t986) @t51) (tptp.hAPP (tptp.hAPP @t962 @t183) @t1029)))) % 47.01/47.29 (assume @p588 (forall @t164 (= (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t1024 @t986)) @t1027) (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP @t1026 @t180)) @t1029)))) % 47.01/47.29 (assume @p589 (forall @t1022 (= (tptp.hAPP @t1023 @t537) (tptp.hAPP (tptp.hAPP @t529 @t1027) (tptp.hAPP @t1023 @t48))))) % 47.01/47.29 (assume @p590 (forall @t164 (= (tptp.hAPP (tptp.hAPP @t529 @t964) @t161) (tptp.hAPP @t963 @t586)))) % 47.01/47.29 (assume @p591 (forall @t164 (= (tptp.hAPP @t1032 @t161) @t1031))) % 47.01/47.29 (assume @p592 (forall @t235 (= @t1031 (tptp.hAPP @t1030 @t48)))) % 47.01/47.29 (assume @p593 (forall @t418 (=> @t800 (=> @t848 (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t964))))) % 47.01/47.29 (assume @p594 (forall @t414 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t962 @t391) @t390) @t47)) (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP (tptp.hAPP @t962 @t387) @t386)))))) % 47.01/47.29 (assume @p595 (forall @t1041 (=> @t954 (=> @t928 (= @t1040 @t1039))))) % 47.01/47.29 (assume @p596 (forall @t111 (=> @t147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1014) @t1013))))) % 47.01/47.29 (assume @p597 (forall @t111 (=> @t147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1010) @t1011))))) % 47.01/47.29 (assume @p598 (forall @t1019 (and @t1044 @t1043))) % 47.01/47.29 (assume @p599 (forall @t1049 (and @t1048 @t1047))) % 47.01/47.29 (assume @p600 (forall @t1019 @t1043)) % 47.01/47.29 (assume @p601 (forall @t1049 @t1047)) % 47.01/47.29 (assume @p602 (forall @t1019 @t1044)) % 47.01/47.29 (assume @p603 (forall @t1049 @t1048)) % 47.01/47.29 (assume @p604 (forall @t92 (=> (and @t1053 @t1000) (=> @t268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 (tptp.hAPP @t2 (tptp.hAPP @t1052 @t48))) @t1051)))))) % 47.01/47.29 (assume @p605 (forall @t418 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t85 @t1055)) (tptp.hAPP (tptp.hAPP @t962 @t87) @t86))))) % 47.01/47.29 (assume @p606 (forall @t67 (= (tptp.hAPP @t963 @t584) @t289))) % 47.01/47.29 (assume @p607 (forall @t67 (=> @t1017 (= @t537 @t51)))) % 47.01/47.29 (assume @p608 (forall @t164 (= (= (tptp.hAPP @t1024 @t161) @t1025) @t1021))) % 47.01/47.29 (assume @p609 (forall @t67 (= (tptp.hAPP @t1056 @t964) @t51))) % 47.01/47.29 (assume @p610 (forall @t164 (= (tptp.hAPP @t530 @t180) (tptp.hAPP @t1032 @t587)))) % 47.01/47.29 (assume @p611 (forall @t164 (= (tptp.hAPP @t530 @t986) (tptp.hAPP @t1056 @t587)))) % 47.01/47.29 (assume @p612 (forall @t1060 (=> @t954 @t1059))) % 47.01/47.29 (assume @p613 (forall @t1061 (=> @t954 (=> @t1058 (= @t922 @t1033))))) % 47.01/47.29 (assume @p614 (forall @t418 (=> @t417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP @t2 @t964)) (tptp.hAPP (tptp.hAPP @t931 @t265) @t264)))))) % 47.01/47.29 (assume @p615 (forall @t1065 (=> @t1064 (= (= (tptp.hAPP @t795 @t1062) @t520) (forall @t7 (=> @t1063 (= @t5 @t520))))))) % 47.01/47.29 (assume @p616 (forall @t915 (=> @t914 (=> @t162 (=> @t163 @t1066))))) % 47.01/47.29 (assume @p617 (forall (@list @t35 @t2 @t15) (=> @t703 (=> @t700 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t975 @t891) @t35))) @t35)) (tptp.hBOOL (tptp.hAPP @t892 @t35))))))) % 47.01/47.29 (assume @p618 (forall (@list @t35 @t2 @t51 @t15) (=> @t703 (=> (= @t51 @t891) (=> @t700 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2 (tptp.hAPP @t1052 @t35))) @t35)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t51) @t35)))))))) % 47.01/47.29 (assume @p619 (forall @t769 (=> @t928 (= (= @t796 @t904) (exists @t7 (and @t176 (= @t5 @t904) @t1067)))))) % 47.01/47.29 (assume @p620 (forall @t1074 (=> @t954 (=> @t1073 (and (=> @t1070 (= @t1069 @t1072)) (=> @t1071 (= @t1069 @t1033))))))) % 47.01/47.29 (assume @p621 (forall @t1074 (=> @t954 (=> @t1073 (and (=> @t1070 (= @t1077 @t1072)) (=> @t1071 (= @t1077 @t1033))))))) % 47.01/47.29 (assume @p622 (forall @t67 (=> @t928 @t1078))) % 47.01/47.29 (assume @p623 (forall @t1080 (=> (or @t1064 @t1079) (tptp.hBOOL (tptp.hAPP @t927 (tptp.hAPP (tptp.hAPP @t962 @t1062) @t19)))))) % 47.01/47.29 (assume @p624 (forall @t1083 (=> @t1064 (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t1081 @t1062)))))) % 47.01/47.29 (assume @p625 (forall @t1085 (=> @t928 @t1084))) % 47.01/47.29 (assume @p626 (forall @t594 (tptp.hBOOL (tptp.hAPP @t927 @t289)))) % 47.01/47.29 (assume @p627 (forall @t769 (=> @t928 (=> (tptp.hBOOL (tptp.hAPP @t65 @t1088)) @t1086)))) % 47.01/47.29 (assume @p628 (forall @t769 (=> @t928 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1088) @t51)) (=> @t1086 (= @t1088 @t51)))))) % 47.01/47.29 (assume @p629 (forall @t406 (=> (tptp.hBOOL (tptp.hAPP @t927 @t87)) (=> @t1090 @t1089)))) % 47.01/47.29 (assume @p630 (forall @t400 (= (tptp.hBOOL (tptp.hAPP @t927 @t613)) @t1078))) % 47.01/47.29 (assume @p631 (forall @t170 (=> @t1091 @t928))) % 47.01/47.29 (assume @p632 (forall @t320 (= @t1084 @t928))) % 47.01/47.29 (assume @p633 (forall @t67 (=> @t66 (=> @t943 @t928)))) % 47.01/47.29 (assume @p634 (forall @t93 (=> @t943 (=> @t66 @t928)))) % 47.01/47.29 (assume @p635 (forall @t1080 (=> @t1064 (=> @t1079 @t1092)))) % 47.01/47.29 (assume @p636 (forall @t1080 (= @t1092 (and @t1064 @t1079)))) % 47.01/47.29 (assume @p637 (forall @t93 (=> @t943 (= @t1078 @t928)))) % 47.01/47.29 (assume @p638 (forall @t170 (= (tptp.hBOOL (tptp.hAPP @t1093 @t552)) @t928))) % 47.01/47.29 (assume @p639 (forall (@list @t2 @t48 @t71 @t51 @t15) (=> @t928 (=> @t1096 @t1094)))) % 47.01/47.29 (assume @p640 (forall @t1103 (=> @t1102 (=> @t928 (=> @t331 (and (=> @t1100 (= @t1099 @t47)) (=> @t1101 (= @t1099 @t1098)))))))) % 47.01/47.29 (assume @p641 (forall @t1108 (=> @t1107 (=> @t1089 (=> @t313 (= @t1099 @t1106)))))) % 47.01/47.29 (assume @p642 (forall @t1115 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t71) (=> @t943 (=> @t66 (=> (forall @t1114 (=> (tptp.hBOOL (tptp.hAPP @t1113 @t584)) (tptp.hBOOL (tptp.hAPP @t1112 (tptp.hAPP @t2 @t1111))))) @t1110)))))) % 47.01/47.29 (assume @p643 (forall @t1115 (=> @t955 (=> @t943 (=> @t66 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 @t584)) @t1116)) @t1110)))))) % 47.01/47.29 (assume @p644 (forall @t1122 (=> @t1102 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t2 @t1120) @t1119) @t1118))))))) % 47.01/47.29 (assume @p645 (forall @t1122 (=> @t1102 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t1123)))))))) % 47.01/47.29 (assume @p646 (forall @t1127 (=> @t1107 (=> @t1089 (=> @t1094 (=> (= @t1055 @t377) @t1126)))))) % 47.01/47.29 (assume @p647 (forall @t1103 (=> @t1102 (=> @t928 (and (=> @t1100 (= @t1128 @t47)) (=> @t1101 (= @t1128 @t1098))))))) % 47.01/47.29 (assume @p648 (forall @t1108 (=> @t1107 (=> @t1089 (= @t1129 @t1106))))) % 47.01/47.29 (assume @p649 (forall (@list @t1062 @t1 @t202 @t2 @t71 @t15) (=> @t1107 (= (tptp.hAPP @t1062 @t377) @t202)))) % 47.01/47.29 (assume @p650 (forall @t1130 (=> @t1102 (= (tptp.hAPP @t1062 @t384) @t47)))) % 47.01/47.29 (assume @p651 (forall @t1108 (=> @t1107 (=> @t1089 (=> (not @t313) @t1132))))) % 47.01/47.29 (assume @p652 (forall @t1127 (=> @t1107 (=> @t1089 (=> @t1094 (= (tptp.hAPP (tptp.hAPP @t2 @t1125) (tptp.hAPP @t1062 @t1055)) @t1118)))))) % 47.01/47.29 (assume @p653 (forall @t1103 (=> @t1102 (=> @t928 (=> @t357 @t1134))))) % 47.01/47.29 (assume @p654 (forall @t487 (=> @t968 @t1136))) % 47.01/47.29 (assume @p655 (forall @t385 (=> @t73 (=> @t928 (=> @t331 (and (=> @t1100 (= @t1138 @t47)) (=> @t1101 (= @t1138 @t1137)))))))) % 47.01/47.29 (assume @p656 (forall @t385 (=> @t73 (=> @t928 (=> @t331 (and (=> @t1100 (= @t1140 @t47)) (=> @t1101 (= @t1140 @t1139)))))))) % 47.01/47.29 (assume @p657 (forall @t1143 (=> @t1102 (=> @t928 (=> @t329 (=> (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1142) @t1141))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1099) @t51)))))))) % 47.01/47.29 (assume @p658 (forall (@list @t1144 @t2 @t543 @t15 @t71) (=> @t1151 (=> @t1150 (=> @t1149 (=> (= @t1148 @t1033) (=> @t1147 (= @t1145 @t1033)))))))) % 47.01/47.29 (assume @p659 (forall (@list @t1144 @t48 @t2 @t543 @t15 @t71) (=> @t1151 (=> @t1150 (=> @t1149 (=> (= @t1148 @t48) (=> @t1147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t1145) @t48))))))))) % 47.01/47.29 (assume @p660 (forall @t1161 (=> @t954 (=> @t1160 (=> @t1159 (=> @t1157 (= @t1154 @t1152))))))) % 47.01/47.29 (assume @p661 (forall @t1161 (=> @t954 (=> @t1160 (=> @t1159 (=> @t1157 (= @t1152 @t1154))))))) % 47.01/47.29 (assume @p662 (forall (@list @t35 @t51 @t15) (=> @t928 (=> (tptp.hBOOL (tptp.hAPP @t35 @t51)) (=> (forall @t1166 (=> (tptp.hBOOL (tptp.hAPP @t927 @t1164)) (=> @t1165 (=> (tptp.hBOOL (tptp.hAPP @t35 @t1164)) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t529 @t1164) (tptp.hAPP @t1163 @t289)))))))) @t1162))))) % 47.01/47.29 (assume @p663 (forall @t170 (=> @t73 (=> @t928 (=> @t329 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1138) @t1140))))))) % 47.01/47.29 (assume @p664 (forall @t324 (=> @t73 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t384) @t47)))) % 47.01/47.29 (assume @p665 (forall @t324 (=> @t73 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t384) @t47)))) % 47.01/47.29 (assume @p666 (forall @t385 (=> @t73 (=> @t928 (=> @t331 (= @t1167 @t1140)))))) % 47.01/47.29 (assume @p667 (forall @t1085 (=> @t73 (=> @t928 (=> @t293 (= (tptp.hAPP @t1168 @t1138) @t290)))))) % 47.01/47.29 (assume @p668 (forall @t385 (=> @t73 (=> @t928 (=> @t331 (= @t1169 @t1138)))))) % 47.01/47.29 (assume @p669 (forall @t1085 (=> @t73 (=> @t928 (=> @t293 (= (tptp.hAPP @t1170 @t1140) @t290)))))) % 47.01/47.29 (assume @p670 (forall @t385 (=> @t73 (=> @t928 @t1172)))) % 47.01/47.29 (assume @p671 (forall @t385 (=> @t73 (=> @t928 @t1174)))) % 47.01/47.29 (assume @p672 (forall @t67 (=> @t73 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t70 @t1175) @t1140) @t1140))))))) % 47.01/47.29 (assume @p673 (forall @t67 (=> @t73 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t975 @t1176) @t1138) @t1138))))))) % 47.01/47.29 (assume @p674 (forall @t67 (=> @t73 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t1179))))))) % 47.01/47.29 (assume @p675 (forall @t67 (=> @t73 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t1182))))))) % 47.01/47.29 (assume @p676 (forall @t385 (=> @t73 (=> @t928 (=> @t357 @t1172))))) % 47.01/47.29 (assume @p677 (forall @t385 (=> @t73 (=> @t928 (=> @t357 @t1174))))) % 47.01/47.29 (assume @p678 (forall @t385 (=> @t73 (=> @t928 (and (=> @t1100 (= @t1171 @t47)) (=> @t1101 (= @t1171 @t1139))))))) % 47.01/47.29 (assume @p679 (forall @t385 (=> @t73 (=> @t928 (and (=> @t1100 (= @t1173 @t47)) (=> @t1101 (= @t1173 @t1137))))))) % 47.01/47.29 (assume @p680 (forall @t67 (=> @t73 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t1179)))))))) % 47.01/47.29 (assume @p681 (forall @t67 (=> @t73 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t70 @t1178) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t964)) @t1177))))))) % 47.01/47.29 (assume @p682 (forall @t67 (=> @t73 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t1182)))))))) % 47.01/47.29 (assume @p683 (forall @t67 (=> @t73 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t975 @t1181) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t964)) @t1180))))))) % 47.01/47.29 (assume @p684 (forall @t170 (=> @t73 (=> @t928 (=> @t329 (=> (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1183) @t1141))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1138) @t51)))))))) % 47.01/47.29 (assume @p685 (forall @t170 (=> @t73 (=> @t928 (=> @t329 (=> (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1184) @t1141))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t1140) @t51)))))))) % 47.01/47.29 (assume @p686 (forall @t1191 (=> @t73 (=> (forall @t787 (= (tptp.hAPP @t899 @t1183) (tptp.hAPP (tptp.hAPP @t975 @t1190) @t1189))) (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t846)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t1186)))))))) % 47.01/47.29 (assume @p687 (forall @t1191 (=> @t73 (=> (forall @t787 (= (tptp.hAPP @t899 @t1184) (tptp.hAPP (tptp.hAPP @t70 @t1190) @t1189))) (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t846)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t1186)))))))) % 47.01/47.29 (assume @p688 (forall @t1122 (=> @t1192 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t1123))))))) % 47.01/47.29 (assume @p689 (forall (@list @t35 @t51 @t1062 @t15) (=> @t1064 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1062) @t51)) (=> @t1162 (=> (forall (@list @t935 @t1194) (=> @t1196 (=> @t937 (=> (not (tptp.hBOOL (tptp.hAPP @t936 @t1194))) (=> @t1195 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t1163 @t1194)))))))) @t1193)))))) % 47.01/47.29 (assume @p690 (forall @t1122 (=> @t1192 (=> @t928 (=> @t1124 (=> @t64 @t1197)))))) % 47.01/47.29 (assume @p691 (forall @t1199 (=> (and @t954 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t71)) (=> @t928 (=> @t329 (=> (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1198 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1198 @t922) @t1057)))))))) % 47.01/47.29 (assume @p692 (forall @t1103 (=> @t1192 (=> @t928 @t1134)))) % 47.01/47.29 (assume @p693 (forall @t1130 (=> @t1192 @t1200))) % 47.01/47.29 (assume @p694 (forall @t1103 (=> @t1192 (=> @t928 (=> @t331 (= @t1133 @t1099)))))) % 47.01/47.29 (assume @p695 (forall @t1204 (=> @t954 (=> @t928 (=> @t331 (= @t1057 @t1203)))))) % 47.01/47.29 (assume @p696 (forall @t930 (=> @t954 (=> @t928 (=> @t293 (= @t922 (tptp.hAPP @t1205 @t923))))))) % 47.01/47.29 (assume @p697 (forall @t1206 (=> @t928 (= @t222 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t88 @t15 @t89) (tptp.hAPP (tptp.hAPP @t512 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 @t509 @t15) @t378) @t2)) @t377)) @t377) @t51))))) % 47.01/47.29 (assume @p698 (forall (@list @t128 @t47 @t51 @t15) (=> @t928 (=> @t331 (=> @t361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t1207 (tptp.hAPP (tptp.hAPP @t529 @t531) @t1209))) @t1208))))))) % 47.01/47.29 (assume @p699 (forall @t385 (=> @t928 (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1210) @t1208)))))) % 47.01/47.29 (assume @p700 (forall @t385 (=> @t928 (=> @t331 (= @t1211 @t1208))))) % 47.01/47.29 (assume @p701 (forall (@list @t846 @t899 @t1062 @t2 @t15) (=> @t1192 (=> (forall @t787 (= (tptp.hAPP @t899 @t1142) (tptp.hAPP (tptp.hAPP @t2 @t1190) @t1189))) (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.hAPP @t1062 @t846)) (tptp.hAPP @t1062 @t1186)))))))) % 47.01/47.29 (assume @p702 (forall @t594 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t54 @t1212))) % 47.01/47.29 (assume @p703 (forall @t1127 (=> @t1107 (=> @t1089 (=> @t1094 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t401 @t1055)) (= @t4 @t202))) @t1126)))))) % 47.01/47.29 (assume @p704 (forall @t120 (=> @t1218 (=> (= @t1217 @t1215) @t117)))) % 47.01/47.29 (assume @p705 (forall @t125 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t76) @t1222))) % 47.01/47.29 (assume @p706 (forall @t125 (=> @t1218 @t1222))) % 47.01/47.29 (assume @p707 (forall (@list @t281 @t290 @t294 @t15) (=> @t1228 (= (= @t1227 @t1225) @t344)))) % 47.01/47.29 (assume @p708 (forall @t1232 (=> @t1228 (= (= @t1231 @t1230) @t344)))) % 47.01/47.29 (assume @p709 (forall @t125 (=> (tptp.class_Groups_Oab__semigroup__add @t76) @t1236))) % 47.01/47.29 (assume @p710 (forall (@list @t202 @t47 @t2 @t71 @t15) (=> @t1238 (= (tptp.hAPP @t69 @t1237) @t1237)))) % 47.01/47.29 (assume @p711 (forall @t1240 (=> @t1238 (tptp.c_Finite__Set_Ofun__left__comm__idem @t184 @t71 @t1239)))) % 47.01/47.29 (assume @p712 (forall @t1244 (=> @t1243 (=> @t1242 @t123)))) % 47.01/47.29 (assume @p713 (forall @t1247 (=> @t1243 (=> @t1246 @t123)))) % 47.01/47.29 (assume @p714 (forall @t1251 (=> @t1250 (=> @t123 (=> @t1249 (tptp.hBOOL (tptp.hAPP @t1245 @t1248))))))) % 47.01/47.29 (assume @p715 (forall @t125 (=> @t1250 (=> @t123 @t1242)))) % 47.01/47.29 (assume @p716 (forall @t125 (=> @t1250 (=> @t123 @t1246)))) % 47.01/47.29 (assume @p717 (forall @t1254 (=> @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1225) @t1252)) @t627)))) % 47.01/47.29 (assume @p718 (forall @t1256 (=> @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1230) @t1255)) @t627)))) % 47.01/47.29 (assume @p719 (forall @t159 (=> @t1259 @t1258))) % 47.01/47.29 (assume @p720 (forall @t159 (=> @t1260 @t1258))) % 47.01/47.29 (assume @p721 (forall @t292 (=> @t1263 (= (= @t624 @t1262) @t1261)))) % 47.01/47.29 (assume @p722 (forall @t159 (=> @t1259 @t1264))) % 47.01/47.29 (assume @p723 (forall @t159 (=> @t1260 @t1264))) % 47.01/47.29 (assume @p724 (forall @t1244 (=> @t1243 (=> @t1265 @t732)))) % 47.01/47.29 (assume @p725 (forall @t1247 (=> @t1243 (=> @t1267 @t732)))) % 47.01/47.29 (assume @p726 (forall @t1251 (=> @t1271 (=> @t732 @t1270)))) % 47.01/47.29 (assume @p727 (forall @t125 (=> @t1271 (=> @t732 @t1265)))) % 47.01/47.29 (assume @p728 (forall @t125 (=> @t1271 (=> @t732 @t1267)))) % 47.01/47.29 (assume @p729 (forall @t1254 (=> @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1225) @t1252)) @t762)))) % 47.01/47.29 (assume @p730 (forall @t1256 (=> @t1253 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1230) @t1255)) @t762)))) % 47.01/47.29 (assume @p731 (forall @t155 (=> @t639 (= (tptp.hAPP (tptp.hAPP @t1213 @t1272) @t116) @t112)))) % 47.01/47.29 (assume @p732 (forall @t155 (=> @t639 (= (tptp.hAPP @t1273 @t116) @t112)))) % 47.01/47.29 (assume @p733 (forall @t494 (=> (= @t1276 @t488) @t853))) % 47.01/47.29 (assume @p734 (forall @t505 (= (= @t1278 @t520) (and @t903 @t554)))) % 47.01/47.29 (assume @p735 (forall @t588 (= (tptp.hAPP @t1275 @t520) @t488))) % 47.01/47.29 (assume @p736 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t1274 @t520) @t369) @t369))) % 47.01/47.29 (assume @p737 (forall @t494 (= @t1280 @t1279))) % 47.01/47.29 (assume @p738 (forall @t494 (= @t1281 @t1279))) % 47.01/47.29 (assume @p739 (forall @t494 (= @t1281 @t1280))) % 47.01/47.29 (assume @p740 (forall @t1285 (=> (tptp.hBOOL (tptp.hAPP @t967 @t101)) @t1284))) % 47.01/47.29 (assume @p741 (forall @t1286 (=> @t968 @t1284))) % 47.01/47.29 (assume @p742 (forall @t564 (=> (tptp.hBOOL (tptp.hAPP @t1289 @t558)) (tptp.hBOOL (tptp.hAPP @t873 @t558))))) % 47.01/47.29 (assume @p743 (forall (@list @t369 @t488 @t666 @t558) (=> @t1293 (=> (= (tptp.hAPP @t1275 @t666) @t1291) @t821)))) % 47.01/47.29 (assume @p744 (forall @t1298 (=> @t874 (=> @t1293 (tptp.hBOOL (tptp.hAPP @t1297 @t1295)))))) % 47.01/47.29 (assume @p745 (forall @t564 (=> @t874 (tptp.hBOOL (tptp.hAPP @t1297 @t1299))))) % 47.01/47.29 (assume @p746 (forall @t1301 (=> @t874 (tptp.hBOOL (tptp.hAPP @t873 @t1300))))) % 47.01/47.29 (assume @p747 (forall @t1301 (=> @t874 (tptp.hBOOL (tptp.hAPP @t873 @t1302))))) % 47.01/47.29 (assume @p748 (forall @t659 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1305) @t1304)) @t860))) % 47.01/47.29 (assume @p749 (forall @t1307 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1306) @t559))))) % 47.01/47.29 (assume @p750 (forall @t1308 (not (tptp.hBOOL (tptp.hAPP @t1289 @t559))))) % 47.01/47.29 (assume @p751 (forall @t1286 (=> @t1136 @t1309))) % 47.01/47.29 (assume @p752 (forall @t1285 (=> (tptp.hBOOL (tptp.hAPP @t1135 @t101)) @t1309))) % 47.01/47.29 (assume @p753 (forall @t1312 (=> @t1311 (not (=> @t491 (not @t661)))))) % 47.01/47.29 (assume @p754 (forall @t1312 (=> @t1311 @t491))) % 47.01/47.29 (assume @p755 (forall @t1312 (=> @t1311 @t661))) % 47.01/47.29 (assume @p756 (forall @t1298 (=> @t563 (=> @t1314 (tptp.hBOOL (tptp.hAPP @t1313 @t1295)))))) % 47.01/47.29 (assume @p757 (forall @t564 (=> @t563 (tptp.hBOOL (tptp.hAPP @t1313 @t1299))))) % 47.01/47.29 (assume @p758 (forall @t1301 (=> @t563 (tptp.hBOOL (tptp.hAPP @t560 @t1300))))) % 47.01/47.29 (assume @p759 (forall @t1301 (=> @t563 (tptp.hBOOL (tptp.hAPP @t560 @t1302))))) % 47.01/47.29 (assume @p760 (forall @t659 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1305) @t1304)) @t503))) % 47.01/47.29 (assume @p761 (forall @t505 (= @t503 (exists @t804 (= @t260 @t1315))))) % 47.01/47.29 (assume @p762 (forall @t672 (tptp.hBOOL (tptp.hAPP @t553 @t1317)))) % 47.01/47.29 (assume @p763 (forall @t672 (tptp.hBOOL (tptp.hAPP @t553 @t1276)))) % 47.01/47.29 (assume @p764 (forall @t1312 (= (tptp.hAPP @t1319 @t1318) @t647))) % 47.01/47.29 (assume @p765 (forall @t662 (= (tptp.hAPP (tptp.hAPP @t643 @t1320) @t1291) @t647))) % 47.01/47.29 (assume @p766 (forall @t564 (= @t711 (tptp.hAPP @t709 @t1299)))) % 47.01/47.29 (assume @p767 (forall @t672 (= (tptp.hAPP @t1321 @t369) @t488))) % 47.01/47.29 (assume @p768 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t643 @t1276) @t369) @t488))) % 47.01/47.29 (assume @p769 (forall (@list @t202 @t1 @t2 @t71 @t15) (= (tptp.hAPP @t1323 @t377) @t202))) % 47.01/47.29 (assume @p770 (forall @t67 (=> @t928 (=> @t943 (= @t1329 @t1326))))) % 47.01/47.29 (assume @p771 (forall @t67 (=> @t928 (=> @t943 (= @t1326 @t1329))))) % 47.01/47.29 (assume @p772 (forall @t1060 (=> @t954 @t1330))) % 47.01/47.29 (assume @p773 (forall @t1060 (=> @t954 (and @t1330 @t1059)))) % 47.01/47.29 (assume @p774 (forall @t890 (=> @t834 (= (tptp.hAPP (tptp.hAPP @t826 @t1331) @t51) (tptp.hAPP (tptp.hAPP @t1223 @t885) @t883))))) % 47.01/47.29 (assume @p775 (forall @t67 (=> @t928 (=> @t943 (=> @t1017 @t1332))))) % 47.01/47.29 (assume @p776 (forall @t594 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t54 @t297))) % 47.01/47.29 (assume @p777 (forall @t594 (= (tptp.hAPP @t1207 @t289) @t520))) % 47.01/47.29 (assume @p778 (forall @t170 @t1334)) % 47.01/47.29 (assume @p779 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP @t1335 @t1262)) @t1336)))) % 47.01/47.29 (assume @p780 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1262) @t624)) @t1337)))) % 47.01/47.29 (assume @p781 (forall @t155 (=> @t1341 (=> @t1340 (=> @t1339 (tptp.hBOOL (tptp.hAPP @t1338 @t1221))))))) % 47.01/47.29 (assume @p782 (forall @t138 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t15) (=> (tptp.hBOOL (tptp.hAPP @t1335 @t47)) (=> (tptp.hBOOL (tptp.hAPP @t1335 @t128)) (= (= @t1345 @t624) @t1343)))))) % 47.01/47.29 (assume @p783 (forall @t125 (=> @t1341 (=> @t1340 (=> @t127 @t1346))))) % 47.01/47.29 (assume @p784 (forall @t1348 (=> @t1341 (=> @t1347 (=> @t119 @t1346))))) % 47.01/47.29 (assume @p785 (forall @t155 (=> @t1341 (=> @t1350 (=> @t1349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1221) @t636))))))) % 47.01/47.29 (assume @p786 (forall @t1251 (=> @t1271 (=> @t732 (=> @t1249 @t1268))))) % 47.01/47.29 (assume @p787 (forall @t1251 (=> @t1271 (=> @t123 @t1270)))) % 47.01/47.29 (assume @p788 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP @t1351 @t1262)) @t1352)))) % 47.01/47.29 (assume @p789 (forall @t292 (=> @t1263 @t1354))) % 47.01/47.29 (assume @p790 (forall @t155 (=> @t1341 (=> @t1359 @t1358)))) % 47.01/47.29 (assume @p791 (forall @t155 (=> @t1341 (=> @t1363 @t1362)))) % 47.01/47.29 (assume @p792 (forall @t594 (=> @t208 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t15 @t70)))) % 47.01/47.29 (assume @p793 (forall @t594 (=> @t1000 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t15 @t975)))) % 47.01/47.29 (assume @p794 (forall @t406 (=> @t800 @t1366))) % 47.01/47.29 (assume @p795 (forall @t505 (= (= @t1278 @t904) @t1369))) % 47.01/47.29 (assume @p796 (forall @t505 (= (= @t904 @t1278) @t1369))) % 47.01/47.29 (assume @p797 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t822 @t1278)) (or @t1370 @t855)))) % 47.01/47.29 (assume @p798 (forall @t505 (= @t860 (exists @t804 (= @t260 (tptp.hAPP tptp.c_Nat_OSuc @t1315)))))) % 47.01/47.29 (assume @p799 (forall @t1371 (tptp.hBOOL (tptp.hAPP @t873 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1275 @t559)))))) % 47.01/47.29 (assume @p800 (forall @t1371 (tptp.hBOOL (tptp.hAPP @t873 (tptp.hAPP tptp.c_Nat_OSuc @t1372))))) % 47.01/47.29 (assume @p801 (forall @t672 (= (tptp.hAPP @t644 @t1317) @t520))) % 47.01/47.29 (assume @p802 (forall @t494 (=> @t875 @t1373))) % 47.01/47.29 (assume @p803 (forall @t1380 (= (tptp.hBOOL (tptp.hAPP @t1379 @t1378)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1376) @t1374))))) % 47.01/47.29 (assume @p804 (forall @t1385 (=> @t1384 (= @t1383 @t1382)))) % 47.01/47.29 (assume @p805 (forall @t1385 (=> @t1384 (= @t1382 @t1383)))) % 47.01/47.29 (assume @p806 (forall @t1385 (=> @t1384 (= @t1387 @t1386)))) % 47.01/47.29 (assume @p807 (forall @t1380 (=> @t1390 (= (= @t1388 @t469) (= @t1374 (tptp.hAPP @t1303 @t1144)))))) % 47.01/47.29 (assume @p808 (forall @t672 (=> @t556 (= (tptp.hAPP (tptp.hAPP @t1274 @t647) @t369) @t488)))) % 47.01/47.29 (assume @p809 (forall (@list @t1144 @t1374 @t469) (=> (tptp.hBOOL (tptp.hAPP @t656 @t1374)) (= (tptp.hBOOL (tptp.hAPP @t1389 @t1378)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1376) @t1374)))))) % 47.01/47.29 (assume @p810 (forall @t1385 (=> @t1384 (= @t1386 @t1387)))) % 47.01/47.29 (assume @p811 (forall @t672 (=> @t556 @t1373))) % 47.01/47.29 (assume @p812 (forall @t1391 (=> @t661 (tptp.hBOOL (tptp.hAPP @t490 (tptp.hAPP @t1321 @t558)))))) % 47.01/47.29 (assume @p813 (forall (@list @t1144 @t469 @t1374) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1378) @t1144)) (tptp.hBOOL (tptp.hAPP @t1392 @t1376))))) % 47.01/47.29 (assume @p814 (forall @t1385 (=> @t1384 (= (tptp.hAPP @t709 @t1381) (tptp.hAPP (tptp.hAPP @t643 @t1296) @t561))))) % 47.01/47.29 (assume @p815 (forall (@list @t846 @t469) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1395 @t846))) % 47.01/47.29 (assume @p816 (forall @t1399 (=> @t954 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t920 (tptp.hAPP (tptp.hAPP @t1398 (tptp.hAPP (tptp.hAPP @t1397 @t1201) @t1)) @t899)) @t51) (tptp.hAPP @t1396 (tptp.hAPP (tptp.hAPP @t920 @t899) @t51))))))) % 47.01/47.29 (assume @p817 (forall (@list @t51 @t1062 @t1 @t202 @t2 @t71 @t15) (=> @t1107 (=> @t1089 (= @t1099 @t1400))))) % 47.01/47.29 (assume @p818 (forall @t170 (= @t1333 (or @t327 @t1058)))) % 47.01/47.29 (assume @p819 (forall @t170 (=> @t1401 @t928))) % 47.01/47.29 (assume @p820 (forall @t385 (=> @t928 (tptp.hBOOL (tptp.hAPP @t1403 @t1402))))) % 47.01/47.29 (assume @p821 (forall @t93 (=> @t943 (=> @t66 (tptp.hBOOL (tptp.hAPP @t1403 @t1327)))))) % 47.01/47.29 (assume @p822 (forall @t93 (=> @t943 (=> @t66 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1327) @t1208)) @t61))))) % 47.01/47.29 (assume @p823 (forall @t1206 (=> @t928 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1365) @t1208))))) % 47.01/47.29 (assume @p824 (forall @t155 (=> @t1341 (=> @t1359 (=> @t1339 @t1356))))) % 47.01/47.29 (assume @p825 (forall @t155 (=> @t1341 (=> @t1340 @t1358)))) % 47.01/47.29 (assume @p826 (forall @t125 (=> @t1341 (=> @t1359 (=> @t127 @t1404))))) % 47.01/47.29 (assume @p827 (forall @t125 (=> @t1341 (=> @t1340 @t1405)))) % 47.01/47.29 (assume @p828 (forall @t155 (=> @t1341 (=> @t1363 (=> @t1349 @t1360))))) % 47.01/47.29 (assume @p829 (forall @t155 (=> @t1341 (=> @t1350 @t1362)))) % 47.01/47.29 (assume @p830 (forall @t1206 (=> @t928 (=> @t1366 @t800)))) % 47.01/47.29 (assume @p831 (forall @t1206 (=> @t928 (= @t800 @t1366)))) % 47.01/47.29 (assume @p832 (forall @t406 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t1207 @t87)) @t1406)) (not @t1090)))) % 47.01/47.29 (assume @p833 (forall @t93 (=> @t943 (=> @t695 @t1407)))) % 47.01/47.29 (assume @p834 (forall @t1415 (= @t1414 (not (or (and @t1413 @t605) (exists @t1412 (and @t1411 (not @t1410)))))))) % 47.01/47.29 (assume @p835 (forall @t1415 (= @t1414 (and (=> @t1413 @t604) (forall @t1412 (=> @t1411 @t1410)))))) % 47.01/47.29 (assume @p836 (forall @t1418 (=> @t1384 (= (tptp.hAPP @t646 @t1417) (tptp.hAPP @t1319 @t1416))))) % 47.01/47.29 (assume @p837 (forall @t1418 (=> @t1384 (= (tptp.hAPP (tptp.hAPP @t643 @t1417) @t488) (tptp.hAPP (tptp.hAPP @t643 @t1416) @t1320))))) % 47.01/47.29 (assume @p838 (forall @t385 (=> @t928 (and (=> @t331 (= @t1402 @t1208)) @t1419)))) % 47.01/47.29 (assume @p839 (forall @t385 (=> @t928 @t1419))) % 47.01/47.29 (assume @p840 (forall @t170 (= @t1401 (and @t329 @t928)))) % 47.01/47.29 (assume @p841 (forall (@list @t1 @t48 @t51 @t2 @t71 @t15) (=> @t800 (=> @t1422 (=> (tptp.c_Fun_Oinj__on @t71 @t15 @t1 @t48) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t1421 @t48)) @t51)) (=> @t928 (=> @t1094 (= @t1208 @t1420))))))))) % 47.01/47.29 (assume @p842 (forall @t93 (=> @t943 (=> @t64 (= @t1425 @t1424))))) % 47.01/47.29 (assume @p843 (forall @t67 (=> (tptp.hBOOL (tptp.hAPP @t927 @t964)) (= @t1425 (tptp.hAPP @t1423 @t1324))))) % 47.01/47.29 (assume @p844 (forall @t93 (=> @t943 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1424) @t1425))))) % 47.01/47.29 (assume @p845 (forall @t1204 (=> @t954 (=> @t928 (=> @t357 (= @t1426 (tptp.hAPP @t1202 @t1057))))))) % 47.01/47.29 (assume @p846 (forall (@list @t2 @t290 @t1062 @t15 @t71) (=> @t954 (=> @t1064 (=> (not (tptp.hBOOL (tptp.hAPP @t291 @t1062))) (= (tptp.hAPP @t921 (tptp.hAPP @t318 @t1062)) (tptp.hAPP @t1205 (tptp.hAPP @t921 @t1062)))))))) % 47.01/47.29 (assume @p847 (forall @t93 (=> @t943 (=> @t66 (=> @t1407 @t695))))) % 47.01/47.29 (assume @p848 (forall @t1429 (=> @t954 (=> @t928 (=> @t943 (= (tptp.hAPP (tptp.hAPP @t1201 @t1428) (tptp.hAPP @t947 @t964)) @t1427)))))) % 47.01/47.29 (assume @p849 (forall @t385 (=> @t928 (= @t1402 @t1211)))) % 47.01/47.29 (assume @p850 (forall @t385 (=> @t928 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1210) @t1208))))) % 47.01/47.29 (assume @p851 (forall @t418 (=> @t800 (=> @t1422 (=> @t1094 @t1430))))) % 47.01/47.29 (assume @p852 (forall @t1431 (=> @t954 (=> @t928 (= @t1426 @t1203))))) % 47.01/47.29 (assume @p853 (forall @t1429 (=> @t954 (=> @t928 (=> @t943 (=> @t1017 @t1432)))))) % 47.01/47.29 (assume @p854 (forall @t945 (=> @t929 (=> @t928 (=> @t943 (= (tptp.hAPP @t921 @t57) (tptp.hAPP (tptp.hAPP @t924 (tptp.hAPP (tptp.hAPP @t1201 @t922) @t944)) @t1040))))))) % 47.01/47.29 (assume @p855 (forall (@list @t2 @t48 @t51 @t15) (=> @t928 (=> @t943 (= (tptp.hAPP @t795 @t57) (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP (tptp.hAPP @t1274 @t796) @t942)) (tptp.hAPP @t795 @t964))))))) % 47.01/47.29 (assume @p856 (forall @t1433 (=> @t928 (=> @t1094 (= (exists @t579 (and @t919 (tptp.hBOOL (tptp.hAPP @t918 @t48)))) @t1430))))) % 47.01/47.29 (assume @p857 (forall @t292 (=> @t1434 @t1354))) % 47.01/47.29 (assume @p858 (forall @t125 (=> @t1435 (=> @t1359 @t1405)))) % 47.01/47.29 (assume @p859 (forall @t1441 (=> @t1440 (and @t1439 @t1438)))) % 47.01/47.29 (assume @p860 (forall @t1429 (=> @t954 (=> @t928 (=> @t943 (=> (forall @t7 (=> @t1442 (= @t4 @t1033))) @t1432)))))) % 47.01/47.29 (assume @p861 (forall @t1445 (=> @t954 (=> @t1073 (=> @t1160 (=> (forall @t7 (=> @t1444 @t1155)) (= (tptp.hAPP @t921 @t1443) (tptp.hAPP (tptp.hAPP @t1201 @t1152) @t1154)))))))) % 47.01/47.29 (assume @p862 (forall (@list @t469 @t51 @t15) (= (= @t1208 @t1448) (exists (@list @t1111 @t1446) (and (= @t51 (tptp.hAPP (tptp.hAPP @t297 @t1111) @t1446)) (not (tptp.hBOOL (tptp.hAPP @t1113 @t1446))) (= (tptp.hAPP @t1207 @t1446) @t469) (=> @t1447 (= @t1446 @t289))))))) % 47.01/47.29 (assume @p863 (forall @t385 (=> @t928 (and @t1450 (=> @t357 (= @t1210 @t1208)))))) % 47.01/47.29 (assume @p864 (forall @t385 (=> @t928 @t1450))) % 47.01/47.29 (assume @p865 (forall @t1454 (= (= @t1453 @t1452) @t663))) % 47.01/47.29 (assume @p866 (forall @t659 (= (= @t1305 @t1304) @t663))) % 47.01/47.29 (assume @p867 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t1274 @t1276) @t558) (tptp.hAPP @t1275 @t1318)))) % 47.01/47.29 (assume @p868 (forall @t1286 (= (tptp.hAPP @t1455 @t1283) (tptp.hAPP @t1282 (tptp.hAPP @t1455 @t101))))) % 47.01/47.29 (assume @p869 (forall @t494 (= @t1276 @t1317))) % 47.01/47.29 (assume @p870 (forall @t1458 (=> @t1457 (not (= @t1456 @t636))))) % 47.01/47.29 (assume @p871 (forall @t1458 (=> @t1457 (not (= @t636 @t1456))))) % 47.01/47.29 (assume @p872 (forall @t324 (=> (tptp.class_Groups_Oone @t15) (= (= @t1459 @t47) @t1460)))) % 47.01/47.29 (assume @p873 (forall @t483 (= @t370 @t1461))) % 47.01/47.29 (assume @p874 (forall @t483 (= @t370 @t1463))) % 47.01/47.29 (assume @p875 (forall @t1458 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t1338 @t1456))))) % 47.01/47.29 (assume @p876 (forall @t1458 (=> @t1435 (not (tptp.hBOOL (tptp.hAPP @t1464 @t636)))))) % 47.01/47.29 (assume @p877 (forall @t1458 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t1355 @t1456))))) % 47.01/47.29 (assume @p878 (forall @t1458 (=> @t1435 (not (tptp.hBOOL (tptp.hAPP @t1465 @t636)))))) % 47.01/47.29 (assume @p879 (forall @t159 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t731 @t1466))))) % 47.01/47.29 (assume @p880 (forall @t170 (and @t1468 @t1334))) % 47.01/47.29 (assume @p881 (forall @t170 @t1468)) % 47.01/47.29 (assume @p882 (forall @t1458 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t1355 @t1470))))) % 47.01/47.29 (assume @p883 (= @t1449 @t904)) % 47.01/47.29 (assume @p884 (forall @t494 (= (tptp.hAPP @t646 @t370) (tptp.hAPP (tptp.hAPP @t643 @t1471) @t369)))) % 47.01/47.29 (assume @p885 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t643 @t370) @t1449) @t369))) % 47.01/47.29 (assume @p886 (forall @t170 (= @t1208 (tptp.hAPP (tptp.hAPP @t794 @t1467) @t51)))) % 47.01/47.29 (assume @p887 (forall @t494 (and (=> @t1472 (= @t1276 @t369)) (=> @t1473 (= @t1276 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1274 @t1471) @t369))))))) % 47.01/47.29 (assume @p888 (forall @t100 (=> @t1474 @t728))) % 47.01/47.29 (assume @p889 (forall @t769 (=> @t928 (= (= @t796 @t1449) (exists @t7 (and @t176 @t1475 @t1067)))))) % 47.01/47.29 (assume @p890 (forall @t847 (= @t1480 (exists @t907 (forall @t7 (=> @t1478 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t3) @t905)))))))) % 47.01/47.29 (assume @p891 (forall @t847 (= @t1480 (exists @t907 (forall @t7 (=> @t1478 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t3) @t905)))))))) % 47.01/47.29 (assume @p892 (forall @t385 (=> @t928 (=> @t357 (= @t1402 (tptp.hAPP @t1462 @t1208)))))) % 47.01/47.29 (assume @p893 (forall @t483 (=> @t852 (= @t1482 @t369)))) % 47.01/47.29 (assume @p894 (forall @t483 (=> @t852 (= @t369 @t1482)))) % 47.01/47.29 (assume @p895 (forall @t1441 (=> @t1440 @t1438))) % 47.01/47.29 (assume @p896 (forall @t385 (=> @t928 (= @t1402 @t1483)))) % 47.01/47.29 (assume @p897 (forall @t385 (=> @t928 (=> @t331 (= @t1208 @t1483))))) % 47.01/47.29 (assume @p898 (forall @t400 (=> @t928 (=> @t293 (=> @t305 (= (tptp.hAPP @t1207 @t613) (tptp.hAPP (tptp.hAPP @t643 @t1425) @t1449))))))) % 47.01/47.29 (assume @p899 (forall @t292 (=> @t1263 @t1484))) % 47.01/47.29 (assume @p900 (forall @t67 (=> @t928 (=> @t943 (=> (=> (exists @t7 @t1442) @t1485) @t1332))))) % 47.01/47.29 (assume @p901 (forall @t1493 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t15 @t1487 @t1491 @t1490 @t1486))) (and @t1492 @t1489)))) % 47.01/47.29 (assume @p902 (forall @t1493 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OatLeastLessThan @t15 @t1487 @t1491 @t1490 @t1486))) (and @t1496 @t1495)))) % 47.01/47.29 (assume @p903 (forall (@list @t1486 @t1490 @t1491 @t1144 @t15) (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t15 @t1491 @t1490 @t1486))) (and @t1492 @t1495)))) % 47.01/47.29 (assume @p904 (forall (@list @t1486 @t1490 @t1487 @t1144 @t15) (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OatLeastAtMost @t15 @t1487 @t1490 @t1486))) (and @t1496 @t1489)))) % 47.01/47.29 (assume @p905 (forall @t1497 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OgreaterThan @t15 @t1491 @t469))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1491 @t469) @t1144))))) % 47.01/47.29 (assume @p906 (forall @t1497 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OlessThan @t15 @t1491 @t469))) (tptp.hBOOL (tptp.hAPP @t1494 @t469))))) % 47.01/47.29 (assume @p907 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OatLeast @t15 @t1487 @t469))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1487 @t469) @t1144))))) % 47.01/47.29 (assume @p908 (forall @t1498 (= (tptp.hBOOL (tptp.hAPP @t1146 (tptp.c_SetInterval_Oord_OatMost @t15 @t1487 @t469))) (tptp.hBOOL (tptp.hAPP @t1488 @t469))))) % 47.01/47.29 (assume @p909 (forall @t292 (=> @t1434 (=> @t1502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1500) @t624)) @t1353))))) % 47.01/47.29 (assume @p910 (forall @t1503 (= (tptp.c_Com_Ocom_Ocom__size @t480) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Com_Ocom_Ocom__size @t479)) (tptp.c_Com_Ocom_Ocom__size @t478))) @t904)))) % 47.01/47.29 (assume @p911 (forall @t337 (=> @t1504 (= (= @t294 @t1227) @t1261)))) % 47.01/47.29 (assume @p912 (forall @t159 (=> @t1505 @t1264))) % 47.01/47.29 (assume @p913 (forall @t159 (=> @t1505 @t1258))) % 47.01/47.29 (assume @p914 (forall @t1433 (and (=> @t1509 @t1510) (=> (not @t1509) (= @t1508 @t520))))) % 47.01/47.29 (assume @p915 (forall @t1512 (= (tptp.c_Com_Ocom_Ocom__size @t571) @t1511))) % 47.01/47.29 (assume @p916 (forall @t1515 (=> @t1514 @t1094))) % 47.01/47.29 (assume @p917 (forall @t1515 (=> @t1514 @t928))) % 47.01/47.29 (assume @p918 (forall @t1433 (=> @t928 (=> @t1094 @t1514)))) % 47.01/47.29 (assume @p919 (forall @t1515 (= @t1514 @t1509))) % 47.01/47.29 (assume @p920 (forall @t594 (=> @t1517 (tptp.hBOOL (tptp.hAPP @t1516 @t1501))))) % 47.01/47.29 (assume @p921 (forall @t364 (=> @t1517 (=> @t1502 (=> @t1519 (tptp.hBOOL (tptp.hAPP @t1518 @t1501))))))) % 47.01/47.29 (assume @p922 (forall @t364 (=> @t1517 (=> @t1502 (=> @t1519 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t625) @t1501))))))) % 47.01/47.29 (assume @p923 (forall @t594 (=> @t1517 (tptp.hBOOL (tptp.hAPP @t1520 @t1501))))) % 47.01/47.29 (assume @p924 (forall @t1251 (=> @t1505 (= (tptp.hAPP @t1234 @t1522) (tptp.hAPP @t1521 @t1248))))) % 47.01/47.29 (assume @p925 (forall @t125 (=> @t1505 (= @t1235 (tptp.hAPP @t1521 @t116))))) % 47.01/47.29 (assume @p926 (forall @t125 (=> @t1505 @t1236))) % 47.01/47.29 (assume @p927 (forall @t1524 (=> @t1505 (= @t1523 (tptp.hAPP @t1521 @t193))))) % 47.01/47.29 (assume @p928 (forall @t1524 (=> @t1505 (= @t1523 (tptp.hAPP @t1214 (tptp.hAPP @t1219 @t193)))))) % 47.01/47.29 (assume @p929 (forall (@list @t113 @t112 @t76) (=> @t1505 (= @t1220 @t1215)))) % 47.01/47.29 (assume @p930 (forall @t1527 (= (tptp.c_Com_Ocom_Ocom__size @t1526) @t520))) % 47.01/47.29 (assume @p931 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t520)) % 47.01/47.29 (assume @p932 (forall @t292 (=> @t1528 (=> @t1502 @t1484)))) % 47.01/47.29 (assume @p933 (forall @t1433 (=> @t928 (=> @t1094 @t1510)))) % 47.01/47.29 (assume @p934 (forall @t292 (=> @t1528 (=> @t1502 (not (= @t1500 @t624)))))) % 47.01/47.29 (assume @p935 (forall @t1515 (= (= @t1506 (tptp.c_Orderings_Obot__class_Obot @t1530)) (and @t327 @t1529)))) % 47.01/47.29 (assume @p936 (forall @t1503 (= (tptp.hAPP @t1531 @t480) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t1531 @t479)) (tptp.hAPP @t1531 @t478))) @t904)))) % 47.01/47.29 (assume @p937 (forall @t1512 (= (tptp.hAPP @t1531 @t571) @t1532))) % 47.01/47.29 (assume @p938 (forall @t608 (=> @t605 (=> @t607 (exists @t804 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t802) @t260)) (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t1535 @t802)) (not @t1534))) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t1274 @t802) @t1449))))))))) % 47.01/47.29 (assume @p939 (forall @t1429 (=> @t1545 (=> @t928 (=> @t943 (=> @t1017 (= @t1544 @t1543))))))) % 47.01/47.29 (assume @p940 (forall (@list @t469 @t846) (=> (forall @t7 (=> @t1478 (tptp.hBOOL (tptp.hAPP @t656 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t1546 @t469) @t846)))) % 47.01/47.29 (assume @p941 (forall @t1554 (=> @t635 (and (=> @t503 (= @t1551 (tptp.hAPP (tptp.hAPP @t565 @t1553) (tptp.hAPP @t2 @t1552)))) (=> @t507 (= @t1551 @t624)))))) % 47.01/47.29 (assume @p942 (forall @t1429 (=> @t1545 (=> @t928 (=> @t943 (= @t1543 (tptp.hAPP (tptp.hAPP @t1537 @t1544) (tptp.hAPP @t1540 @t964)))))))) % 47.01/47.29 (assume @p943 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t1479 @t1555)))) % 47.01/47.29 (assume @p944 (forall @t1569 (=> @t1505 (= @t1568 (tptp.hAPP @t1564 (tptp.hAPP @t1560 @t1557)))))) % 47.01/47.29 (assume @p945 (forall @t1569 (=> @t1505 (= @t1568 (tptp.hAPP @t1565 (tptp.hAPP @t1567 @t1557)))))) % 47.01/47.29 (assume @p946 (forall @t1569 (=> @t1505 (= @t1568 (tptp.hAPP @t1563 (tptp.hAPP @t1560 @t1566)))))) % 47.01/47.29 (assume @p947 (forall @t1571 (=> @t1505 (= @t1570 (tptp.hAPP @t1564 @t1558))))) % 47.01/47.29 (assume @p948 (forall @t1571 (=> @t1505 (= @t1570 (tptp.hAPP @t1563 (tptp.hAPP @t1560 @t1561)))))) % 47.01/47.29 (assume @p949 (forall @t1573 (=> @t1505 (= @t1572 (tptp.hAPP @t1564 @t1557))))) % 47.01/47.29 (assume @p950 (forall @t1573 (=> @t1505 (= @t1572 (tptp.hAPP @t1565 (tptp.hAPP @t1563 @t1557)))))) % 47.01/47.29 (assume @p951 (forall @t155 (=> @t1505 (= @t1577 @t1575)))) % 47.01/47.29 (assume @p952 (forall @t155 (=> @t1578 (= (tptp.hAPP @t1576 @t1577) @t1577)))) % 47.01/47.29 (assume @p953 (forall @t80 (=> @t1578 (= @t1580 @t75)))) % 47.01/47.29 (assume @p954 (forall @t159 (=> @t1578 (= @t1581 @t112)))) % 47.01/47.29 (assume @p955 (forall @t125 (=> (tptp.class_Groups_Oab__semigroup__mult @t76) (= (tptp.hAPP (tptp.hAPP @t1559 @t1577) @t113) (tptp.hAPP @t1576 @t1582))))) % 47.01/47.29 (assume @p956 (forall @t155 (=> @t1586 (=> @t1585 (or @t1584 @t1583))))) % 47.01/47.29 (assume @p957 (forall @t155 (=> @t1586 (=> @t1588 (=> @t1587 (not @t1585)))))) % 47.01/47.29 (assume @p958 (forall @t364 (=> (tptp.class_Rings_Oring__no__zero__divisors @t15) (= (= @t1592 @t624) (or @t1261 @t1589))))) % 47.01/47.29 (assume @p959 (forall @t159 (=> @t1594 @t1593))) % 47.01/47.29 (assume @p960 (forall @t159 (=> @t1594 @t1595))) % 47.01/47.29 (assume @p961 (forall @t159 (=> @t1505 @t1593))) % 47.01/47.29 (assume @p962 (forall @t159 (=> @t1505 @t1595))) % 47.01/47.29 (assume @p963 (forall @t1600 (= (tptp.hAPP @t1599 @t1598) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1597 @t1596)))) % 47.01/47.29 (assume @p964 (forall (@list @t113 @t116 @t1601 @t112 @t76) (=> (tptp.class_Rings_Osemiring @t76) (= (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t1576 @t1601)) (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t1574 @t1601)) @t113)) (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t1602 @t1601)) @t113))))) % 47.01/47.29 (assume @p965 (forall @t125 (=> (tptp.class_Rings_Ocomm__semiring @t76) @t1604))) % 47.01/47.29 (assume @p966 (forall @t111 (=> @t1505 (= (tptp.hAPP @t1579 @t1608) (tptp.hAPP (tptp.hAPP @t1213 @t1606) @t1605))))) % 47.01/47.29 (assume @p967 (forall @t352 (=> @t1504 (= (and @t296 (not @t674)) (not (= (tptp.hAPP (tptp.hAPP @t1223 @t1611) (tptp.hAPP @t1609 @t345)) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1591 @t345)) @t1610))))))) % 47.01/47.29 (assume @p968 (forall @t125 (=> @t1505 @t1604))) % 47.01/47.29 (assume @p969 (forall (@list @t116 @t488 @t112 @t76) (=> @t1505 (= (tptp.hAPP @t1613 (tptp.hAPP @t1574 @t488)) (tptp.hAPP @t1602 @t488))))) % 47.01/47.29 (assume @p970 (forall (@list @t202 @t47 @t128 @t1615 @t15) (=> @t1504 (= (= (tptp.hAPP (tptp.hAPP @t1223 @t1619) @t1618) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1617 @t202)) (tptp.hAPP @t1616 @t128))) (or (= @t1615 @t47) @t1614))))) % 47.01/47.29 (assume @p971 (forall @t159 (=> @t1621 @t1620))) % 47.01/47.29 (assume @p972 (forall @t159 (=> @t1622 @t1620))) % 47.01/47.29 (assume @p973 (forall @t159 (=> @t1621 @t1623))) % 47.01/47.29 (assume @p974 (forall @t159 (=> @t1622 @t1623))) % 47.01/47.29 (assume @p975 (forall @t159 (=> @t1505 @t1623))) % 47.01/47.29 (assume @p976 (forall @t159 (=> @t1505 @t1620))) % 47.01/47.29 (assume @p977 (forall @t1454 (= (= @t1629 @t1627) @t1624))) % 47.01/47.29 (assume @p978 (forall @t659 (= @t1633 @t1624))) % 47.01/47.29 (assume @p979 (forall @t505 (= (= @t1634 @t520) (or @t903 @t554)))) % 47.01/47.29 (assume @p980 (forall @t588 (= (tptp.hAPP @t1635 @t520) @t520))) % 47.01/47.29 (assume @p981 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t1625 @t520) @t369) @t520))) % 47.01/47.29 (assume @p982 (forall @t659 (= (= @t1638 @t1637) @t663))) % 47.01/47.29 (assume @p983 (forall @t662 (= (tptp.hAPP @t1639 @t1276) (tptp.hAPP (tptp.hAPP @t1274 @t1641) @t1640)))) % 47.01/47.29 (assume @p984 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t1625 @t1276) @t558) (tptp.hAPP (tptp.hAPP @t1274 @t1644) @t1643)))) % 47.01/47.29 (assume @p985 (forall @t1298 (=> @t563 (=> @t1314 (tptp.hBOOL (tptp.hAPP @t1648 (tptp.hAPP @t1645 @t666))))))) % 47.01/47.29 (assume @p986 (forall @t564 (=> @t563 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1650) @t1649))))) % 47.01/47.29 (assume @p987 (forall @t564 (=> @t563 (tptp.hBOOL (tptp.hAPP @t1648 @t1651))))) % 47.01/47.29 (assume @p988 (forall @t588 (tptp.hBOOL (tptp.hAPP @t490 (tptp.hAPP @t1635 @t1652))))) % 47.01/47.29 (assume @p989 (forall @t588 (tptp.hBOOL (tptp.hAPP @t490 @t1652)))) % 47.01/47.29 (assume @p990 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t1625 @t647) @t558) (tptp.hAPP (tptp.hAPP @t643 @t1644) @t1643)))) % 47.01/47.29 (assume @p991 (forall @t662 (= (tptp.hAPP @t1639 @t647) (tptp.hAPP (tptp.hAPP @t643 @t1641) @t1640)))) % 47.01/47.29 (assume @p992 (forall @t505 (= (= @t1634 @t1449) @t1653))) % 47.01/47.29 (assume @p993 (forall @t483 (= (tptp.hAPP @t1642 @t1449) @t369))) % 47.01/47.29 (assume @p994 (forall @t505 (= (= @t1449 @t1634) @t1653))) % 47.01/47.29 (assume @p995 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t1625 @t1449) @t369) @t369))) % 47.01/47.29 (assume @p996 (forall @t594 (=> @t1654 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t15 @t1590)))) % 47.01/47.29 (assume @p997 (forall @t1657 (=> @t834 (= (tptp.hAPP @t1656 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t499 @t261)) (tptp.hAPP @t1655 @t1547))))) % 47.01/47.29 (assume @p998 (forall @t1661 (= (tptp.hAPP @t1660 @t1598) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1376 @t1659)))) % 47.01/47.29 (assume @p999 (forall @t1663 (=> @t834 (= (tptp.hAPP @t1656 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1453 @t1452)) (tptp.hAPP @t1662 @t1547))))) % 47.01/47.29 (assume @p1000 (forall (@list @t48 @t1 @t184 @t51 @t2 @t71 @t15) (=> @t1666 (= (tptp.hAPP @t1665 (tptp.hAPP (tptp.hAPP @t827 @t1) @t48)) (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP (tptp.hAPP @t832 (tptp.hAPP @t831 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t829 @t829) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t886 (tptp.tc_fun @t829 @t829) @t71) (tptp.c_COMBB @t15 @t15 @t184)) @t1664)) @t1))) @t48)) @t51))))) % 47.01/47.29 (assume @p1001 (forall @t1670 (=> @t1666 (= (tptp.hAPP @t1665 @t1667) (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP @t1669 @t1667)) @t51))))) % 47.01/47.29 (assume @p1002 (forall (@list @t51 @t2 @t71 @t1667 @t15) (=> @t1666 (= (tptp.hAPP @t1671 @t885) (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP (tptp.hAPP @t1672 @t1671) @t2)) @t51))))) % 47.01/47.29 (assume @p1003 (forall @t159 (=> @t1673 (tptp.hBOOL (tptp.hAPP @t1338 @t1581))))) % 47.01/47.29 (assume @p1004 (forall @t364 (=> @t1678 (= (tptp.hBOOL (tptp.hAPP @t1335 @t1592)) @t1677)))) % 47.01/47.29 (assume @p1005 (forall @t364 (=> @t1678 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1592) @t624)) @t1679)))) % 47.01/47.29 (assume @p1006 (forall @t155 (=> @t1681 (=> @t1340 (=> @t1339 @t1680))))) % 47.01/47.29 (assume @p1007 (forall @t155 (=> @t1681 (=> @t1340 (=> @t1349 @t1682))))) % 47.01/47.29 (assume @p1008 (forall @t155 (=> @t1681 (=> @t1340 (=> @t1349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1575) @t636))))))) % 47.01/47.29 (assume @p1009 (forall @t155 (=> @t1681 (=> @t1350 (=> @t1339 @t1682))))) % 47.01/47.29 (assume @p1010 (forall @t155 (=> @t1683 (=> @t1350 (=> @t1349 @t1680))))) % 47.01/47.29 (assume @p1011 (forall @t125 (=> @t1686 (=> @t123 (=> @t1347 @t1685))))) % 47.01/47.29 (assume @p1012 (forall @t125 (=> @t1686 @t1691))) % 47.01/47.29 (assume @p1013 (forall @t125 (=> (tptp.class_Rings_Oordered__comm__semiring @t76) @t1691))) % 47.01/47.29 (assume @p1014 (forall @t120 (=> @t1683 (=> @t119 (=> @t1692 @t1685))))) % 47.01/47.29 (assume @p1015 (forall @t120 (=> @t1683 (=> @t119 (=> @t1692 @t1690))))) % 47.01/47.29 (assume @p1016 (forall @t1251 (=> @t1686 (=> @t123 (=> @t1249 (=> @t1340 @t1694)))))) % 47.01/47.29 (assume @p1017 (forall @t1251 (=> @t1686 (=> @t123 (=> @t1249 (=> @t1339 @t1694)))))) % 47.01/47.29 (assume @p1018 (forall @t155 (=> @t1683 (=> (or (and @t1340 @t1339) (and @t1350 @t1349)) @t1680)))) % 47.01/47.29 (assume @p1019 (forall @t155 (=> @t1681 (=> (or (and @t1340 @t1349) (and @t1350 @t1339)) @t1682)))) % 47.01/47.29 (assume @p1020 (forall @t159 (=> @t1673 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1581) @t636)))))) % 47.01/47.29 (assume @p1021 (forall @t1256 (=> @t1678 (= (tptp.hBOOL (tptp.hAPP @t1700 @t1610)) @t1699)))) % 47.01/47.29 (assume @p1022 (forall @t1254 (=> @t1678 (= @t1704 @t1699)))) % 47.01/47.29 (assume @p1023 (forall @t1254 (=> @t1678 (=> @t1698 (= @t1704 @t762))))) % 47.01/47.29 (assume @p1024 (forall @t155 (=> @t1706 (=> @t1359 (=> @t1357 @t1705))))) % 47.01/47.29 (assume @p1025 (forall @t155 (=> @t1706 (=> @t1359 (=> @t1361 @t1707))))) % 47.01/47.29 (assume @p1026 (forall @t155 (=> @t1706 (=> @t1359 (=> @t1361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1575) @t636))))))) % 47.01/47.29 (assume @p1027 (forall @t155 (=> @t1706 (=> @t1705 @t1708)))) % 47.01/47.29 (assume @p1028 (forall @t733 (=> @t1706 (=> (tptp.hBOOL (tptp.hAPP @t1355 @t1575)) @t1708)))) % 47.01/47.29 (assume @p1029 (forall @t1254 (=> @t1678 (=> @t1697 (= @t1704 @t1696))))) % 47.01/47.29 (assume @p1030 (forall @t155 (=> @t1706 (=> @t1363 (=> @t1357 @t1707))))) % 47.01/47.29 (assume @p1031 (forall @t155 (=> @t1709 (=> @t1363 (=> @t1361 @t1705))))) % 47.01/47.29 (assume @p1032 (forall @t125 (=> @t1706 (=> @t732 (=> @t1712 @t1711))))) % 47.01/47.29 (assume @p1033 (forall @t125 (=> @t1706 @t1714))) % 47.01/47.29 (assume @p1034 (forall @t125 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t76) @t1714))) % 47.01/47.29 (assume @p1035 (forall @t120 (=> @t1709 (=> @t730 (=> @t1715 @t1711))))) % 47.01/47.29 (assume @p1036 (forall @t120 (=> @t1709 (=> @t730 (=> @t1715 @t1713))))) % 47.01/47.29 (assume @p1037 (forall @t138 (=> @t1678 (= (= @t1717 @t624) @t1343)))) % 47.01/47.29 (assume @p1038 (forall (@list @t193 @t113 @t116 @t112 @t1718 @t76) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t76) (=> (not (= @t1718 @t636)) (=> (and @t126 (not (= @t113 @t193))) (not (= (tptp.hAPP @t1219 (tptp.hAPP @t1719 @t113)) (tptp.hAPP @t1216 (tptp.hAPP @t1719 @t193))))))))) % 47.01/47.29 (assume @p1039 (forall (@list @t469 @t2) (=> (= @t1722 @t520) (= (tptp.hAPP @t1721 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t904 @t469)) (tptp.hAPP @t1721 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t520 @t469)))))) % 47.01/47.29 (assume @p1040 (forall @t1723 (=> @t1435 (=> (tptp.hBOOL (tptp.hAPP @t1465 @t488)) (=> (tptp.hBOOL (tptp.hAPP @t1465 @t369)) (tptp.hBOOL (tptp.hAPP @t1465 (tptp.hAPP (tptp.hAPP @t1559 @t488) @t369)))))))) % 47.01/47.29 (assume @p1041 (forall @t1730 (=> @t1729 (= @t1728 (= @t1725 @t345))))) % 47.01/47.29 (assume @p1042 (forall @t1730 (=> @t1729 (= @t1728 (= @t281 @t1731))))) % 47.01/47.29 (assume @p1043 (forall @t505 (=> @t504 (= @t1733 (tptp.hAPP (tptp.hAPP @t1732 @t261) @t1547))))) % 47.01/47.29 (assume @p1044 (forall (@list @t488 @t112 @t76) (=> @t1505 (= (tptp.hAPP @t1613 @t488) @t1734)))) % 47.01/47.29 (assume @p1045 (forall (@list @t112 @t488 @t76) (=> @t1505 (= (tptp.hAPP @t1735 @t1612) @t1734)))) % 47.01/47.29 (assume @p1046 (forall @t1737 (=> @t1505 (= (tptp.hAPP @t1735 @t488) (tptp.hAPP @t1736 @t488))))) % 47.01/47.29 (assume @p1047 (forall @t1556 (= (tptp.hAPP @t1739 @t1555) (tptp.hAPP (tptp.hAPP @t643 @t1738) @t1490)))) % 47.01/47.29 (assume @p1048 (forall @t505 (= (= @t1634 @t904) (and @t1368 @t1367)))) % 47.01/47.29 (assume @p1049 (forall @t564 (=> @t874 (=> @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1650) @t1649)))))) % 47.01/47.29 (assume @p1050 (forall @t564 (=> @t874 (=> @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1647) @t1651)))))) % 47.01/47.29 (assume @p1051 (forall @t1454 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1629) @t1627)) @t1742))) % 47.01/47.29 (assume @p1052 (forall @t659 (= @t1743 @t1742))) % 47.01/47.29 (assume @p1053 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t822 @t1634)) (and @t1370 @t855)))) % 47.01/47.29 (assume @p1054 (forall @t659 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1638) @t1637)) @t860))) % 47.01/47.29 (assume @p1055 (forall @t494 (= (tptp.hAPP @t1635 @t370) (tptp.hAPP @t1275 @t1744)))) % 47.01/47.29 (assume @p1056 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t1625 @t492) @t369) (tptp.hAPP @t1316 @t1744)))) % 47.01/47.29 (assume @p1057 (forall @t659 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1638) @t1637)) @t503))) % 47.01/47.29 (assume @p1058 (forall @t494 (=> (= @t488 @t1744) (or (= @t369 @t1449) @t1472)))) % 47.01/47.29 (assume @p1059 (forall @t364 (=> @t1517 (=> @t1502 (=> @t1519 (tptp.hBOOL (tptp.hAPP @t1745 @t1501))))))) % 47.01/47.29 (assume @p1060 (forall @t364 (=> @t136 (= @t1748 @t1746)))) % 47.01/47.29 (assume @p1061 (forall @t364 (=> @t136 (= (= @t289 @t1747) @t1746)))) % 47.01/47.29 (assume @p1062 (forall @t337 (=> @t136 (=> @t1696 @t1748)))) % 47.01/47.29 (assume @p1063 (forall @t352 (=> @t136 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1747) @t1752)) (or @t1746 @t1751))))) % 47.01/47.29 (assume @p1064 (forall @t292 (=> @t136 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t290 @t290) @t335)))) % 47.01/47.29 (assume @p1065 (forall @t1232 (=> @t136 (= (= @t1747 (tptp.hAPP @t349 @t289)) (and @t295 @t344))))) % 47.01/47.29 (assume @p1066 (forall @t364 (=> @t136 (=> @t295 (= @t1747 @t335))))) % 47.01/47.29 (assume @p1067 (forall @t1254 (=> @t1678 (=> @t1698 (= @t1753 @t627))))) % 47.01/47.29 (assume @p1068 (forall @t1254 (=> @t1678 (=> @t1697 (= @t1753 @t1754))))) % 47.01/47.29 (assume @p1069 (forall @t1251 (=> @t1706 (=> @t732 (=> @t1269 (=> @t1357 @t1756)))))) % 47.01/47.29 (assume @p1070 (forall @t1251 (=> @t1706 (=> @t732 (=> @t1269 (=> @t1340 @t1756)))))) % 47.01/47.29 (assume @p1071 (forall @t1251 (=> @t1706 (=> @t732 (=> @t1249 (=> @t1340 (=> @t1712 @t1755))))))) % 47.01/47.29 (assume @p1072 (forall @t1251 (=> @t1706 (=> @t123 (=> @t1269 (=> @t1359 @t1756)))))) % 47.01/47.29 (assume @p1073 (forall @t1247 (=> @t1759 @t1758))) % 47.01/47.29 (assume @p1074 (forall @t1247 (=> @t1706 @t1758))) % 47.01/47.29 (assume @p1075 (forall @t1244 (=> @t1759 @t1760))) % 47.01/47.29 (assume @p1076 (forall @t1244 (=> @t1706 @t1760))) % 47.01/47.29 (assume @p1077 (forall @t1247 (=> @t1706 (=> @t1685 @t1761)))) % 47.01/47.29 (assume @p1078 (forall @t1244 (=> @t1706 (=> @t1690 @t1761)))) % 47.01/47.29 (assume @p1079 (forall @t138 (=> @t1678 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1717) @t624)) @t1343)))) % 47.01/47.29 (assume @p1080 (forall @t100 (=> @t1673 (tptp.hBOOL (tptp.hAPP @t1338 @t1763))))) % 47.01/47.29 (assume @p1081 (forall @t138 (=> @t1678 (= (tptp.hBOOL (tptp.hAPP @t1351 @t1717)) @t1765)))) % 47.01/47.29 (assume @p1082 (forall @t100 (=> @t1673 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1763) @t636)))))) % 47.01/47.29 (assume @p1083 (forall @t100 (=> @t1474 (=> @t1768 (=> @t1767 (=> @t1766 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1606) @t75)))))))) % 47.01/47.29 (assume @p1084 (forall @t100 (=> @t1474 (=> @t1768 (=> @t1767 (=> @t1766 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1769) @t75)))))))) % 47.01/47.29 (assume @p1085 (forall @t1730 (=> @t1771 (= @t1770 (tptp.hBOOL (tptp.hAPP @t640 @t1731)))))) % 47.01/47.29 (assume @p1086 (forall @t1730 (=> @t1771 (= @t1770 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1725) @t345)))))) % 47.01/47.29 (assume @p1087 (forall @t1730 (=> @t1771 (= @t1772 (tptp.hBOOL (tptp.hAPP @t759 @t1731)))))) % 47.01/47.29 (assume @p1088 (forall @t1730 (=> @t1771 (= @t1772 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1725) @t345)))))) % 47.01/47.29 (assume @p1089 (forall @t1554 (=> @t834 (=> @t503 (= @t1774 (tptp.hAPP @t1773 (tptp.hAPP @t1656 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t499 @t260)))))))) % 47.01/47.29 (assume @p1090 (forall @t672 (=> @t1777 (=> @t1776 (tptp.hBOOL (tptp.hAPP @t817 @t1744)))))) % 47.01/47.29 (assume @p1091 (forall @t672 (=> @t1777 (=> @t1776 (tptp.hBOOL (tptp.hAPP @t817 @t1778)))))) % 47.01/47.29 (assume @p1092 (forall @t672 (=> @t1777 (=> @t1776 (tptp.hBOOL (tptp.hAPP @t1775 @t1744)))))) % 47.01/47.29 (assume @p1093 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t1779 @t1634)) (and (tptp.hBOOL (tptp.hAPP @t1779 @t496)) (tptp.hBOOL (tptp.hAPP @t1779 @t260)))))) % 47.01/47.29 (assume @p1094 (forall @t1454 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1629) @t1627)) @t1780))) % 47.01/47.29 (assume @p1095 (forall @t659 (= @t1781 @t1780))) % 47.01/47.29 (assume @p1096 (forall @t1527 (= (tptp.hAPP @t1531 @t1526) @t520))) % 47.01/47.29 (assume @p1097 (forall @t1399 (=> @t1545 (=> @t928 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1538 @t1783) @t1536) @t51) (tptp.hAPP @t1542 (tptp.hAPP (tptp.hAPP @t1782 @t1536) @t51))))))) % 47.01/47.29 (assume @p1098 (= (tptp.hAPP @t1531 tptp.c_Com_Ocom_OSKIP) @t520)) % 47.01/47.29 (assume @p1099 (forall @t352 (=> @t136 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t693 @t1747) @t1752)) (and (or @t1746 (and @t1750 @t1749 (or (tptp.hBOOL (tptp.hAPP @t759 @t290)) (tptp.hBOOL (tptp.hAPP @t1695 @t345))))) @t641))))) % 47.01/47.29 (assume @p1100 (forall @t1789 (=> @t834 (and (=> @t1788 (= @t1786 @t624)) (=> (not @t1788) (= @t1786 (tptp.hAPP @t1785 @t1784))))))) % 47.01/47.29 (assume @p1101 (forall @t1795 (=> (tptp.class_Rings_Olinordered__semiring__1 @t76) (=> @t200 (=> (tptp.hBOOL (tptp.hAPP @t96 @t112)) (=> @t1794 (=> @t1793 (=> @t1792 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t1791) @t112)))))))))) % 47.01/47.29 (assume @p1102 (forall (@list @t1796 @t2 @t260 @t496 @t15) (=> @t834 (=> (tptp.hBOOL (tptp.hAPP @t502 @t1552)) (= (tptp.hAPP @t1656 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t496 @t1797)) (tptp.hAPP @t1785 (tptp.hAPP @t1656 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1552 @t1797)))))))) % 47.01/47.29 (assume @p1103 (forall (@list @t202 @t1 @t290 @t51 @t15 @t71) (=> @t1800 (=> @t928 (=> @t359 (= (tptp.hAPP @t1798 @t319) (tptp.hAPP (tptp.hAPP @t1537 @t526) @t1799))))))) % 47.01/47.29 (assume @p1104 (forall @t494 (and (=> @t1472 (= @t1744 @t520)) (=> @t1473 (= @t1744 (tptp.hAPP @t1316 (tptp.hAPP (tptp.hAPP @t1625 @t1471) @t369))))))) % 47.01/47.29 (assume @p1105 (forall @t1795 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t76) (=> @t764 (=> (tptp.hBOOL (tptp.hAPP @t722 @t112)) (=> @t1794 (=> @t1793 (=> @t1792 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t1791) @t112)))))))))) % 47.01/47.29 (assume @p1106 (forall @t1806 (=> @t1805 (= @t1804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1801) @t260)))))) % 47.01/47.29 (assume @p1107 (forall @t1808 (=> @t1390 (= @t1804 (tptp.hBOOL (tptp.hAPP @t859 @t1807)))))) % 47.01/47.29 (assume @p1108 (forall @t1813 (= (exists @t907 (and @t1812 @t1811)) (exists @t7 (and @t1810 @t172))))) % 47.01/47.29 (assume @p1109 (forall @t1813 (= (forall @t907 (=> @t1812 @t1811)) (forall @t7 (=> @t1810 @t172))))) % 47.01/47.29 (assume @p1110 (forall @t1808 (=> @t1390 (= @t1814 (= @t496 @t1807))))) % 47.01/47.29 (assume @p1111 (forall (@list @t369 @t488 @t366 @t561 @t559) (=> @t563 (= @t1818 (tptp.hAPP @t646 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t1815) @t366)) @t369)))))) % 47.01/47.29 (assume @p1112 (forall @t1808 (=> @t1390 (= @t1819 (tptp.hBOOL (tptp.hAPP @t502 @t1807)))))) % 47.01/47.29 (assume @p1113 (forall @t1806 (=> @t1805 (= @t1814 (= @t1801 @t260))))) % 47.01/47.29 (assume @p1114 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t1625 @t1744) @t558) (tptp.hAPP @t1635 @t1643)))) % 47.01/47.29 (assume @p1115 (forall @t494 (= @t1744 @t1778))) % 47.01/47.29 (assume @p1116 (forall @t659 (= @t1633 (or @t1447 @t663)))) % 47.01/47.29 (assume @p1117 (forall (@list @t558 @t561 @t366 @t559) (= (tptp.hAPP @t1817 (tptp.hAPP @t1816 @t558)) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t1288) @t366)) @t558)))) % 47.01/47.29 (assume @p1118 (forall @t659 (=> @t1741 (= @t1633 @t663)))) % 47.01/47.29 (assume @p1119 (forall @t659 (=> @t1741 (= @t1743 @t860)))) % 47.01/47.29 (assume @p1120 (forall @t659 (=> @t1741 (= @t1781 @t503)))) % 47.01/47.29 (assume @p1121 (forall @t1806 (=> @t1805 (= @t1819 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1801) @t260)))))) % 47.01/47.29 (assume @p1122 (forall (@list @t369 @t488 @t366 @t559 @t561) (=> @t1820 (= @t1818 (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t710) @t366)) @t488)) @t369))))) % 47.01/47.29 (assume @p1123 (forall @t1827 (= (tptp.hAPP (tptp.hAPP @t1625 @t1826) (tptp.hAPP (tptp.hAPP @t1720 (tptp.hAPP (tptp.hAPP @t1825 @t1822) (tptp.hAPP (tptp.hAPP @t1393 @t1625) @t345))) @t1824)) (tptp.hAPP @t1626 (tptp.hAPP @t1822 (tptp.hAPP @t1822 (tptp.hAPP (tptp.hAPP @t1625 @t1821) @t345))))))) % 47.01/47.29 (assume @p1124 (forall @t1445 (=> @t1545 (=> @t1073 (=> @t1160 (=> @t1831 (= (tptp.hAPP @t1828 @t1443) (tptp.hAPP (tptp.hAPP @t1537 @t1829) (tptp.hAPP @t1828 @t1153))))))))) % 47.01/47.29 (assume @p1125 (forall @t1838 (=> @t1837 (= (tptp.hAPP @t1836 (tptp.hAPP (tptp.hAPP @t1550 @t1832) @t1835)) (tptp.hAPP @t1834 (tptp.hAPP (tptp.hAPP @t1223 @t1833) @t1459)))))) % 47.01/47.29 (assume @p1126 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t1841 @t1840) @t1839))))) % 47.01/47.29 (assume @p1127 (forall (@list @t35 @t260 @t496 @t15) (=> @t834 (=> @t503 (= (tptp.hAPP @t1845 @t1547) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t35 @t496)) (tptp.hAPP @t1845 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t496 @t260)))))))) % 47.01/47.29 (assume @p1128 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t1849 @t1846) @t1839))))) % 47.01/47.29 (assume @p1129 (forall (@list @t290 @t47 @t51 @t294 @t15) (=> @t1852 (=> (tptp.hBOOL (tptp.hAPP @t1851 @t47)) (=> @t293 (=> @t1850 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t15 @t15 @t1590 @t290 (tptp.hAPP @t298 @t614)) @t47)))))))) % 47.01/47.29 (assume @p1130 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t1479 @t1854)))) % 47.01/47.29 (assume @p1131 (forall @t1856 (tptp.hBOOL (tptp.hAPP @t1479 @t1855)))) % 47.01/47.29 (assume @p1132 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t1479 @t1857)))) % 47.01/47.29 (assume @p1133 (forall @t555 (= @t1859 @t1824))) % 47.01/47.29 (assume @p1134 (forall @t138 (=> @t720 (= (= @t1862 @t1861) @t129)))) % 47.01/47.29 (assume @p1135 (forall @t1865 (=> @t1864 (= (= @t1863 @t1833) @t663)))) % 47.01/47.29 (assume @p1136 (forall @t1869 (= (tptp.hAPP @t1868 @t520) @t1867))) % 47.01/47.29 (assume @p1137 (forall @t555 (= (tptp.hBOOL (tptp.hAPP @t1874 @t1870)) @t554))) % 47.01/47.29 (assume @p1138 (= @t1875 @t1870)) % 47.01/47.29 (assume @p1139 (forall @t555 (= (= @t1872 @t1870) @t554))) % 47.01/47.29 (assume @p1140 (forall @t588 (= (tptp.hAPP @t1871 @t492) (tptp.hAPP @t1879 @t1876)))) % 47.01/47.29 (assume @p1141 (forall @t1885 (= @t1884 (exists @t432 (= @t202 (tptp.hAPP @t1881 @t1880)))))) % 47.01/47.29 (assume @p1142 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t1887 @t1872)) @t860))) % 47.01/47.29 (assume @p1143 (forall (@list @t101 @t369 @t488) (= (tptp.hAPP @t1890 (tptp.hAPP (tptp.hAPP @t1878 @t1889) @t101)) (tptp.hAPP (tptp.hAPP @t1878 @t1888) @t101)))) % 47.01/47.29 (assume @p1144 (forall @t494 (= (tptp.hAPP @t1890 @t1889) @t1888))) % 47.01/47.29 (assume @p1145 (forall @t505 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1886) @t1872)) @t503))) % 47.01/47.29 (assume @p1146 (forall @t494 (= @t1893 @t1892))) % 47.01/47.29 (assume @p1147 (forall @t494 (= @t1892 @t1893))) % 47.01/47.29 (assume @p1148 (= @t1894 @t1877)) % 47.01/47.29 (assume @p1149 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t1897 @t1848) @t1895))))) % 47.01/47.29 (assume @p1150 (forall @t1844 (=> @t136 (= (tptp.hAPP @t1898 @t1848) @t289)))) % 47.01/47.29 (assume @p1151 (forall @t352 (=> @t720 (=> @t762 (=> @t760 (= @t1901 @t348)))))) % 47.01/47.29 (assume @p1152 (forall @t352 (=> @t720 (=> @t1901 (=> @t762 (=> @t760 @t347)))))) % 47.01/47.29 (assume @p1153 (forall @t352 (=> @t720 (=> @t1901 (=> @t762 (=> @t760 @t346)))))) % 47.01/47.29 (assume @p1154 (= (tptp.hAPP @t1823 @t520) @t1867)) % 47.01/47.29 (assume @p1155 (forall @t756 (tptp.hBOOL (tptp.hAPP @t1902 @t202)))) % 47.01/47.29 (assume @p1156 (forall (@list @t47 @t202 @t2 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t1902 @t47)) @t1903))) % 47.01/47.29 (assume @p1157 (forall (@list @t47 @t51 @t202 @t2 @t71 @t15) (=> @t1905 @t928))) % 47.01/47.29 (assume @p1158 (forall @t893 (= (tptp.hAPP @t1871 @t796) @t1908))) % 47.01/47.29 (assume @p1159 (forall @t1909 (= (tptp.hAPP @t1739 (tptp.hAPP @t1823 @t1486)) @t1486))) % 47.01/47.29 (assume @p1160 (forall @t1813 (= (forall @t907 (=> @t1911 @t1811)) (forall @t7 (=> @t1910 @t172))))) % 47.01/47.29 (assume @p1161 (forall @t1813 (= (exists @t907 (and @t1911 @t1811)) (exists @t7 (and @t1910 @t172))))) % 47.01/47.29 (assume @p1162 (forall @t1380 (=> @t1390 (= (tptp.hAPP @t1912 @t1659) (tptp.hAPP (tptp.hAPP @t1914 @t1913) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1374) @t1659)))))) % 47.01/47.29 (assume @p1163 (= (tptp.hAPP @t1871 @t904) @t1877)) % 47.01/47.29 (assume @p1164 (forall @t564 (=> @t1918 (=> @t1740 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t1916 @t559)) (tptp.hAPP @t1916 @t561))))))) % 47.01/47.29 (assume @p1165 (forall @t555 (= (tptp.hBOOL (tptp.hAPP @t1919 @t1872)) @t855))) % 47.01/47.29 (assume @p1166 (forall @t1737 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t1338 @t1921))))) % 47.01/47.29 (assume @p1167 (forall @t1923 (=> @t1435 (tptp.hBOOL (tptp.hAPP @t1338 @t1922))))) % 47.01/47.29 (assume @p1168 (forall @t672 (=> @t556 (= (tptp.hAPP (tptp.hAPP @t1924 @t1876) @t1889) (tptp.hAPP @t1871 @t647))))) % 47.01/47.29 (assume @p1169 (forall @t1737 (=> @t1435 (not (tptp.hBOOL (tptp.hAPP @t1925 @t636)))))) % 47.01/47.29 (assume @p1170 (forall @t1458 (=> @t1926 (= (tptp.hAPP @t1920 @t520) @t636)))) % 47.01/47.29 (assume @p1171 (forall @t1556 (= (tptp.hAPP @t1853 @t1738) @t1555))) % 47.01/47.29 (assume @p1172 (forall @t1723 (=> @t1435 (=> @t1927 @t821)))) % 47.01/47.29 (assume @p1173 (forall @t1723 (=> @t1435 (=> @t821 @t1927)))) % 47.01/47.29 (assume @p1174 (forall @t1865 (=> @t1928 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1863) @t1833)) @t860)))) % 47.01/47.29 (assume @p1175 (forall @t1865 (=> @t1928 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1863) @t1833)) @t503)))) % 47.01/47.29 (assume @p1176 (forall @t1723 (=> @t1926 (= (tptp.hAPP @t1920 @t1276) (tptp.hAPP (tptp.hAPP @t1213 @t1921) @t1922))))) % 47.01/47.29 (assume @p1177 (forall @t1723 (=> @t1926 (= (tptp.hAPP @t1920 @t1744) (tptp.hAPP (tptp.hAPP @t1559 @t1921) @t1922))))) % 47.01/47.29 (assume @p1178 (forall (@list @t469 @t51) (=> (tptp.hBOOL (tptp.hAPP @t1932 @t1930)) (= @t51 @t1930)))) % 47.01/47.29 (assume @p1179 (forall @t1458 (=> @t1926 (= (tptp.hAPP @t1920 @t1449) @t1456)))) % 47.01/47.29 (assume @p1180 (forall @t1869 (= (tptp.hAPP @t1868 @t499) (tptp.hAPP (tptp.hAPP @t1732 @t496) @t1867)))) % 47.01/47.29 (assume @p1181 (forall @t1556 (= (tptp.hAPP @t1739 @t1854) @t1934))) % 47.01/47.29 (assume @p1182 (forall @t1838 (=> @t1517 (tptp.hBOOL (tptp.hAPP @t1935 @t1501))))) % 47.01/47.29 (assume @p1183 (forall @t1600 (= (tptp.hAPP @t1599 @t1913) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1597) @t1596)))) % 47.01/47.29 (assume @p1184 (forall @t337 (=> @t136 (=> @t1754 @t1936)))) % 47.01/47.29 (assume @p1185 (forall @t364 (=> @t136 (= @t1936 @t1937)))) % 47.01/47.29 (assume @p1186 (forall @t364 (=> @t136 (= (= @t289 @t1900) @t1937)))) % 47.01/47.29 (assume @p1187 (forall @t352 (=> @t720 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1900) @t1899)) (or @t1754 @t1751))))) % 47.01/47.29 (assume @p1188 (forall @t1657 (=> @t834 (= (tptp.hAPP @t1656 (tptp.hAPP @t1939 @t261)) (tptp.hAPP @t1655 @t1938))))) % 47.01/47.29 (assume @p1189 (forall @t1945 (=> @t720 (=> @t1944 (=> @t1943 (= (tptp.hAPP @t1942 @t1940) @t1848)))))) % 47.01/47.29 (assume @p1190 (forall @t697 (=> @t357 (=> @t1947 (tptp.hBOOL (tptp.hAPP @t1946 @t696)))))) % 47.01/47.29 (assume @p1191 (forall @t1663 (=> @t834 (= (tptp.hAPP @t1656 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1453) @t1452)) (tptp.hAPP @t1662 @t1938))))) % 47.01/47.29 (assume @p1192 (forall (@list @t496 @t260 @t1144 @t15) (=> @t720 (=> (tptp.hBOOL (tptp.hAPP @t1949 @t260)) (= (tptp.hAPP (tptp.hAPP @t529 (tptp.hAPP @t1948 @t496)) (tptp.hAPP @t1948 @t260)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t260) @t496)))))) % 47.01/47.29 (assume @p1193 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1950 @t1940) @t289)))) % 47.01/47.29 (assume @p1194 (forall @t1954 (=> @t136 (=> @t1953 @t1952)))) % 47.01/47.29 (assume @p1195 (forall @t406 (=> @t1957 (= (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP @t1956 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t826 @t1955) @t51))))) % 47.01/47.29 (assume @p1196 (forall @t1959 (=> @t136 (= @t1952 @t1958)))) % 47.01/47.29 (assume @p1197 (forall @t1959 (=> @t136 (= (= @t289 @t1951) @t1958)))) % 47.01/47.29 (assume @p1198 (forall @t1661 (= (tptp.hAPP @t1660 @t1913) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1376) @t1659)))) % 47.01/47.29 (assume @p1199 (forall @t1856 (= @t1961 (tptp.hAPP @t1960 @t1855)))) % 47.01/47.29 (assume @p1200 (forall @t1945 (=> @t720 (=> @t1944 (=> @t1943 (= (tptp.hAPP @t1964 @t1962) @t1840)))))) % 47.01/47.29 (assume @p1201 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1965 @t1962) @t289)))) % 47.01/47.29 (assume @p1202 (forall @t1556 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1966 @t1486) @t1857))) % 47.01/47.29 (assume @p1203 (forall @t1969 (=> @t1968 (= (tptp.hBOOL (tptp.hAPP @t1146 @t1967)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t1144) @t469)))))) % 47.01/47.29 (assume @p1204 (forall @t138 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1862) @t1861)) @t132)))) % 47.01/47.29 (assume @p1205 (forall @t1975 (=> @t834 (=> @t503 (=> @t1974 (= (tptp.hAPP @t1973 @t1971) @t1970)))))) % 47.01/47.29 (assume @p1206 (forall @t1975 (=> @t635 (=> @t503 (=> @t1974 (= (tptp.hAPP (tptp.hAPP @t565 @t1970) @t1972) @t1971)))))) % 47.01/47.29 (assume @p1207 (forall @t1556 (= (tptp.hAPP @t1739 @t1857) @t1934))) % 47.01/47.29 (assume @p1208 (forall @t1737 (=> @t1926 (= (tptp.hAPP @t1920 @t492) (tptp.hAPP @t1469 @t1921))))) % 47.01/47.29 (assume @p1209 (forall @t505 (and (=> @t503 (= @t1976 (tptp.hAPP (tptp.hAPP @t1732 @t260) @t1938))) (=> @t507 (= @t1976 @t1867))))) % 47.01/47.29 (assume @p1210 (forall (@list @t488 @t369 @t76) (=> @t1977 (=> @t556 (= (tptp.hAPP @t1920 @t647) (tptp.hAPP (tptp.hAPP @t637 @t1921) @t1922)))))) % 47.01/47.29 (assume @p1211 (forall @t1865 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t693 (tptp.hAPP @t1860 @t496)) (tptp.hAPP @t1860 @t260))) (tptp.hBOOL (tptp.hAPP @t1978 @t260)))))) % 47.01/47.29 (assume @p1212 (forall (@list @t260 @t345 @t290 @t15) (=> @t1837 (= (tptp.hAPP @t1836 (tptp.hAPP (tptp.hAPP @t1550 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t15 tptp.tc_Nat_Onat) @t1229) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t15 @t15) (tptp.hAPP (tptp.hAPP @t1549 @t1590) @t1832)) @t345))) @t1824)) (tptp.hAPP @t1834 (tptp.hAPP @t1229 (tptp.hAPP @t1229 (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP @t1832 @t1821)) @t345)))))))) % 47.01/47.29 (assume @p1213 (forall (@list @t202 @t128 @t51 @t294 @t15) (=> @t1852 (=> (tptp.hBOOL (tptp.hAPP @t1851 @t128)) (=> @t1850 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t15 @t15 @t1590 @t202 @t299) (tptp.hAPP @t1979 @t128)))))))) % 47.01/47.29 (assume @p1214 (forall (@list @t51 @t128 @t71 @t15) (=> @t1957 (= (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP @t879 @t128)) @t51) (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP @t1832 @t1406)) @t128))))) % 47.01/47.29 (assume @p1215 (forall @t1945 (=> @t720 (=> @t1944 (=> @t1943 (= (tptp.hAPP @t1942 @t1980) @t1839)))))) % 47.01/47.29 (assume @p1216 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1950 @t1980) @t289)))) % 47.01/47.29 (assume @p1217 (forall (@list @t469 @t2 @t15) (=> @t834 (=> (= @t1722 @t624) (= (tptp.hAPP @t1656 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t904) @t469)) (tptp.hAPP @t1656 (tptp.hAPP @t1858 @t469))))))) % 47.01/47.29 (assume @p1218 (forall @t1554 (=> @t834 (=> @t860 (= @t1972 (tptp.hAPP @t1773 (tptp.hAPP @t1656 (tptp.hAPP @t1939 @t260)))))))) % 47.01/47.29 (assume @p1219 (forall @t1838 (=> @t1928 (= (tptp.hBOOL (tptp.hAPP @t1351 @t1833)) @t855)))) % 47.01/47.29 (assume @p1220 (forall @t1983 (=> @t834 (= (tptp.hAPP @t1656 @t1982) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1656 @t1824)) @t1981))))) % 47.01/47.29 (assume @p1221 (forall @t1945 (=> @t720 (=> @t1944 (=> @t1943 (= (tptp.hAPP @t1985 @t1962) @t1839)))))) % 47.01/47.29 (assume @p1222 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1986 @t1962) @t289)))) % 47.01/47.29 (assume @p1223 (forall @t1988 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t529 @t1987) @t1967) @t1987)))) % 47.01/47.29 (assume @p1224 (forall @t1844 (=> @t136 (= (tptp.hAPP @t1898 @t1839) @t289)))) % 47.01/47.29 (assume @p1225 (forall @t1989 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t15 @t71 @t2 @t202 @t531) @t128)) (=> @t331 (tptp.hBOOL (tptp.hAPP @t1904 @t696)))))) % 47.01/47.29 (assume @p1226 (forall @t1789 (=> @t834 (and (=> @t865 (= @t1990 @t624)) (=> @t866 (= @t1990 (tptp.hAPP @t1973 @t1981))))))) % 47.01/47.29 (assume @p1227 (forall @t555 (= @t1982 (tptp.hAPP @t1991 (tptp.hAPP @t1599 @t1824))))) % 47.01/47.29 (assume @p1228 (forall (@list @t47 @t128 @t281) (and (=> @t1995 (= @t1992 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1996 @t281)) (tptp.hAPP (tptp.hAPP @t643 @t128) @t281)))) (=> (not @t1995) (and (=> @t1993 (= @t1992 @t1994)) (=> (not @t1993) (= @t1992 @t1867))))))) % 47.01/47.29 (assume @p1229 (forall @t1838 (=> @t1957 (= @t1833 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t15 (tptp.hAPP (tptp.hAPP @t1997 @t1223) @t1459) @t260 @t624))))) % 47.01/47.29 (assume @p1230 (forall (@list @t128 @t47 @t35) (= (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t1871 @t2002))) (and (=> (tptp.hBOOL (tptp.hAPP @t2001 @t47)) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t1924 @t2000) @t1999)))) (=> @t1993 @t1998))))) % 47.01/47.29 (assume @p1231 (forall (@list @t47 @t51 @t290 @t2 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t15 @t15 @t2 @t290 @t51) @t47)) (=> @t359 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t319) @t47)))))) % 47.01/47.29 (assume @p1232 (forall (@list @t946 @t2 @t51 @t15 @t71) (=> (and @t953 (tptp.class_Rings_Osemiring__1 @t71)) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t951 @t51)) (tptp.hBOOL (tptp.hAPP @t950 @t946)))) (tptp.hBOOL (tptp.hAPP @t1109 (tptp.hAPP (tptp.hAPP @t1537 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t71) @t1208)) @t946))))))) % 47.01/47.29 (assume @p1233 (forall @t1945 (=> @t720 (=> @t2006 (=> @t1943 (= (tptp.hAPP @t2004 @t1980) @t1840)))))) % 47.01/47.29 (assume @p1234 (forall @t1844 (=> @t720 (=> @t2009 (= (tptp.hAPP @t2008 @t1846) @t1840))))) % 47.01/47.29 (assume @p1235 (forall @t1945 (=> @t720 (=> @t1944 (=> @t2011 (= (tptp.hAPP @t1985 @t2010) @t1848)))))) % 47.01/47.29 (assume @p1236 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t1479 @t2012)))) % 47.01/47.29 (assume @p1237 (forall @t1556 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2014 @t1486) @t2013))) % 47.01/47.29 (assume @p1238 (forall @t1556 (= (tptp.hAPP @t2016 (tptp.hAPP (tptp.hAPP @t1878 @t1486) @t1877)) @t2015))) % 47.01/47.29 (assume @p1239 (forall @t1556 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2021 @t1878) @t1490)) (tptp.hAPP @t2020 @t2019)) @t2017))) % 47.01/47.29 (assume @p1240 (forall @t1885 (= @t2024 (exists @t432 (= @t202 (tptp.hAPP @t1881 @t2022)))))) % 47.01/47.29 (assume @p1241 (forall @t483 (tptp.hBOOL (tptp.hAPP @t2025 @t1889)))) % 47.01/47.29 (assume @p1242 (forall @t505 (= (= @t1886 @t1872) @t663))) % 47.01/47.29 (assume @p1243 (forall @t2026 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1915) @t1870))))) % 47.01/47.29 (assume @p1244 (forall @t1556 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t2014) @t1486) @t2027))) % 47.01/47.29 (assume @p1245 (forall @t1909 (tptp.hBOOL (tptp.hAPP @t2029 @t2028)))) % 47.01/47.29 (assume @p1246 (forall @t2032 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t1879 @t202)) @t202)) @t1870)) @t2031))) % 47.01/47.29 (assume @p1247 (forall @t2035 (=> @t2034 (tptp.hBOOL (tptp.hAPP @t1919 @t2033))))) % 47.01/47.29 (assume @p1248 (forall @t1885 (= @t2037 (or @t1884 @t2036)))) % 47.01/47.29 (assume @p1249 (forall @t1885 (= @t2037 @t2024))) % 47.01/47.29 (assume @p1250 (forall @t1885 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.hAPP @t1881 @t1877)) @t202)) @t1884))) % 47.01/47.29 (assume @p1251 (forall @t2040 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2038) @t101)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.hAPP @t2039 @t1877)) @t101))))) % 47.01/47.29 (assume @p1252 (forall @t2035 (not (= (tptp.hAPP (tptp.hAPP @t1878 @t2033) @t101) @t1870)))) % 47.01/47.29 (assume @p1253 (not (= @t1870 @t1877))) % 47.01/47.29 (assume @p1254 (forall @t2032 (= (tptp.hBOOL (tptp.hAPP @t2042 @t202)) @t2041))) % 47.01/47.29 (assume @p1255 (forall @t1885 (= (tptp.hBOOL (tptp.hAPP @t2023 (tptp.hAPP @t2043 @t1877))) @t1884))) % 47.01/47.29 (assume @p1256 (tptp.hBOOL (tptp.hAPP @t1919 @t1877))) % 47.01/47.29 (assume @p1257 (forall @t2046 (= @t2045 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP (tptp.hAPP @t1924 @t469) @t1490)) @t1870))))) % 47.01/47.29 (assume @p1258 (forall @t487 (or (tptp.hBOOL (tptp.hAPP @t2048 @t95)) @t107 (tptp.hBOOL (tptp.hAPP @t2047 @t75))))) % 47.01/47.29 (assume @p1259 (forall @t2050 (= (tptp.hBOOL (tptp.hAPP @t2030 @t1615)) (and (tptp.hBOOL (tptp.hAPP @t2049 @t1615)) (not (= @t202 @t1615)))))) % 47.01/47.29 (assume @p1260 (forall @t2055 (=> @t2054 (=> @t2052 (= @t101 @t2038))))) % 47.01/47.29 (assume @p1261 (forall @t564 (=> @t2057 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t561) @t558)) (tptp.hBOOL (tptp.hAPP @t2056 @t558)))))) % 47.01/47.29 (assume @p1262 (forall @t2055 (or @t2054 @t2052))) % 47.01/47.29 (assume @p1263 (forall @t2058 (tptp.hBOOL (tptp.hAPP @t2051 @t2038)))) % 47.01/47.29 (assume @p1264 (forall @t2035 (= (tptp.hAPP @t2059 @t1870) @t101))) % 47.01/47.29 (assume @p1265 (forall @t2035 (= (tptp.hAPP (tptp.hAPP @t1878 @t1870) @t101) @t101))) % 47.01/47.29 (assume @p1266 (forall @t2065 (= (tptp.hAPP (tptp.hAPP @t1878 @t2064) @t2060) (tptp.hAPP @t2063 (tptp.hAPP (tptp.hAPP @t1878 @t2061) @t2060))))) % 47.01/47.29 (assume @p1267 (forall @t1286 (= (tptp.hAPP @t2066 (tptp.hAPP @t2067 @t101)) (tptp.hAPP @t2067 (tptp.hAPP @t2066 @t101))))) % 47.01/47.29 (assume @p1268 (forall @t2055 (= @t2069 @t2068))) % 47.01/47.29 (assume @p1269 (forall @t564 (=> @t2057 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.hAPP @t2070 @t559)) (tptp.hAPP @t2070 @t561)))))) % 47.01/47.29 (assume @p1270 (forall (@list @t101 @t2071 @t2038 @t2072) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2072) @t2038)) (=> @t2073 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP (tptp.hAPP @t1878 @t2072) @t2071)) @t2068)))))) % 47.01/47.29 (assume @p1271 (forall @t564 (=> @t1918 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t2074 @t558)) (tptp.hAPP (tptp.hAPP @t1878 @t561) @t558)))))) % 47.01/47.29 (assume @p1272 (forall (@list @t1144 @t1374) (and (=> @t2077 (= @t2076 @t2079)) (=> (not @t2077) (= @t2076 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t1144) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t2075 @t1374))))))) % 47.01/47.29 (assume @p1273 (forall @t2035 (= (tptp.hAPP @t2080 @t1877) @t101))) % 47.01/47.29 (assume @p1274 (forall @t2035 (= (tptp.hAPP (tptp.hAPP @t1891 @t1877) @t101) @t101))) % 47.01/47.29 (assume @p1275 (forall @t505 (=> (tptp.hBOOL (tptp.hAPP @t1919 @t496)) (= @t2082 @t2081)))) % 47.01/47.29 (assume @p1276 (forall @t564 (=> @t1918 (=> @t2084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t2083 @t559)) (tptp.hAPP @t2083 @t561))))))) % 47.01/47.29 (assume @p1277 (forall @t2090 (= (tptp.hAPP (tptp.hAPP @t1891 @t2089) @t2038) (tptp.hAPP (tptp.hAPP @t1924 @t2088) @t2086)))) % 47.01/47.29 (assume @p1278 (forall @t2094 (= (tptp.hAPP @t2091 @t2089) (tptp.hAPP (tptp.hAPP @t1924 @t2093) @t2092)))) % 47.01/47.29 (assume @p1279 (forall @t2055 (= @t2096 @t2095))) % 47.01/47.29 (assume @p1280 (forall @t2065 (= (tptp.hAPP (tptp.hAPP @t1891 (tptp.hAPP @t2087 @t2061)) @t2060) (tptp.hAPP @t2087 (tptp.hAPP @t2085 @t2060))))) % 47.01/47.29 (assume @p1281 (forall @t2090 (= (tptp.hAPP (tptp.hAPP @t1891 @t2064) @t2038) (tptp.hAPP (tptp.hAPP @t1878 @t2088) @t2086)))) % 47.01/47.29 (assume @p1282 (forall @t2094 (= (tptp.hAPP @t2091 @t2064) (tptp.hAPP (tptp.hAPP @t1878 @t2093) @t2092)))) % 47.01/47.29 (assume @p1283 (forall @t1556 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1966) @t1486) @t2012))) % 47.01/47.29 (assume @p1284 (forall (@list @t47 @t51 @t2 @t15) (=> (tptp.hBOOL (tptp.hAPP @t2097 @t47)) @t329))) % 47.01/47.29 (assume @p1285 (forall (@list @t47 @t2 @t15) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t289) @t47))))) % 47.01/47.29 (assume @p1286 (forall @t1954 (=> @t136 (=> @t1953 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t469 @t1490) @t289))))) % 47.01/47.29 (assume @p1287 (forall (@list @t1144 @t2098 @t15) (=> @t1957 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t15 @t2098 @t520 @t1144) @t1144)))) % 47.01/47.29 (assume @p1288 (forall (@list @t1144 @t260 @t2098 @t15) (=> @t1957 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t15 @t2098 @t261 @t1144) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t15 @t2098 @t260 (tptp.hAPP @t2098 @t1144)))))) % 47.01/47.29 (assume @p1289 (forall (@list @t294 @t290 @t2 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t335) @t294)) @t295))) % 47.01/47.29 (assume @p1290 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1986 @t2010) @t289)))) % 47.01/47.29 (assume @p1291 (forall @t1945 (=> @t136 (= (tptp.hAPP @t2099 @t1980) @t289)))) % 47.01/47.29 (assume @p1292 (forall @t1945 (=> @t136 (= (tptp.hAPP @t2099 @t1940) @t289)))) % 47.01/47.29 (assume @p1293 (forall @t1556 (= (tptp.hAPP @t1739 @t2012) (tptp.hAPP @t1933 @t1966)))) % 47.01/47.29 (assume @p1294 (forall @t1945 (=> @t136 (= (tptp.hAPP @t1965 @t2010) @t289)))) % 47.01/47.29 (assume @p1295 (forall @t1945 (=> @t720 (=> @t2006 (=> @t1943 (= (tptp.hAPP @t2004 @t1940) @t2007)))))) % 47.01/47.29 (assume @p1296 (forall @t1945 (=> @t720 (=> @t1944 (=> @t2011 (= (tptp.hAPP @t1964 @t2010) @t2007)))))) % 47.01/47.29 (assume @p1297 (forall @t1844 (=> @t720 (=> @t2009 (= (tptp.hAPP @t1841 @t2007) @t1848))))) % 47.01/47.29 (assume @p1298 (forall @t2106 (=> @t2105 (=> @t2104 (=> (tptp.hBOOL (tptp.hAPP @t2101 @t112)) (tptp.hBOOL (tptp.hAPP @t2042 @t2100))))))) % 47.01/47.29 (assume @p1299 (forall @t2106 (=> @t2105 (=> @t2104 (=> @t2108 (tptp.hBOOL (tptp.hAPP @t2107 @t1877))))))) % 47.01/47.29 (assume @p1300 (forall @t2117 (=> @t2116 (=> @t2114 (=> @t2111 (tptp.hBOOL (tptp.hAPP @t2025 @t2109))))))) % 47.01/47.29 (assume @p1301 (forall @t2117 (=> @t2120 (=> @t2119 (=> @t2111 (tptp.hBOOL (tptp.hAPP @t2118 @t1870))))))) % 47.01/47.29 (assume @p1302 (forall @t2126 (=> @t2125 (=> @t2119 (=> (tptp.hBOOL (tptp.hAPP @t2113 @t116)) (=> @t2122 @t2121)))))) % 47.01/47.29 (assume @p1303 (forall @t2130 (=> @t2129 (=> @t2116 (=> @t2114 (=> @t2108 (=> @t2111 (=> @t2128 @t2127)))))))) % 47.01/47.29 (assume @p1304 (forall @t2126 (=> @t2125 (=> @t2133 (=> @t2132 (=> (tptp.hBOOL (tptp.hAPP @t2131 @t2112)) @t2127)))))) % 47.01/47.29 (assume @p1305 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t2029 @t2015)))) % 47.01/47.29 (assume @p1306 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t2029 @t2017)))) % 47.01/47.29 (assume @p1307 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t2029 @t2027)))) % 47.01/47.29 (assume @p1308 (forall @t1556 (tptp.hBOOL (tptp.hAPP @t2029 @t2013)))) % 47.01/47.29 (assume @p1309 (forall @t2130 (=> @t2129 (=> @t2120 (=> @t2122 (=> @t2119 (=> @t2111 (=> @t2128 @t2121)))))))) % 47.01/47.29 (assume @p1310 (= @t2079 (tptp.hAPP @t2134 @t1867))) % 47.01/47.29 (assume @p1311 (forall @t2136 (= (tptp.hBOOL (tptp.hAPP @t1479 @t51)) (tptp.hBOOL (tptp.hAPP @t2029 @t2135))))) % 47.01/47.29 (assume @p1312 (= @t1877 @t1894)) % 47.01/47.29 (assume @p1313 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t1891 @t2139) @t2138) (tptp.hAPP @t1871 @t2137)))) % 47.01/47.29 (assume @p1314 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t1878 @t2139) @t2138) (tptp.hAPP @t1871 (tptp.hAPP @t1455 @t95))))) % 47.01/47.29 (assume @p1315 (forall @t2141 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t2000) @t1999)) @t2140))) % 47.01/47.29 (assume @p1316 (forall @t2141 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2000) @t1999)) @t1993))) % 47.01/47.29 (assume @p1317 (forall @t2144 (= (tptp.hBOOL (tptp.hAPP @t2143 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2142 @t2000) @t2135))))) % 47.01/47.29 (assume @p1318 (forall @t2146 (= @t61 (= @t2135 @t2145)))) % 47.01/47.29 (assume @p1319 (forall @t2146 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2148 @t51) @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2147 @t2135) @t2145))))) % 47.01/47.29 (assume @p1320 (forall @t2141 (= (= @t2000 @t1999) @t129))) % 47.01/47.29 (assume @p1321 (tptp.hBOOL (tptp.hAPP @t2025 @t1870))) % 47.01/47.29 (assume @p1322 (forall @t2136 (= @t1929 (tptp.hAPP @t2149 @t2135)))) % 47.01/47.29 (assume @p1323 (forall @t2146 (= (tptp.hBOOL (tptp.hAPP @t1932 @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2150 @t2135) @t2145))))) % 47.01/47.29 (assume @p1324 (= @t1870 @t1875)) % 47.01/47.29 (assume @p1325 (forall @t487 (=> @t2153 (=> @t2152 (tptp.hBOOL (tptp.hAPP @t2025 @t2151)))))) % 47.01/47.29 (assume @p1326 (forall @t2035 (tptp.hBOOL (tptp.hAPP @t2025 @t2154)))) % 47.01/47.29 (assume @p1327 (forall @t2157 (= (exists @t7 (and @t2156 @t172)) (exists @t7 @t2155)))) % 47.01/47.29 (assume @p1328 (forall @t2157 (= (forall @t7 (=> @t2156 @t172)) (forall @t7 @t2155)))) % 47.01/47.29 (assume @p1329 (tptp.hBOOL (tptp.hAPP @t2025 @t1877))) % 47.01/47.29 (assume @p1330 (forall @t487 (=> @t2153 (=> @t2152 (tptp.hBOOL (tptp.hAPP @t2025 @t2158)))))) % 47.01/47.29 (assume @p1331 (forall @t2173 (=> @t2172 (=> @t2171 (forall @t7 (=> @t2169 (=> @t2162 (tptp.hBOOL (tptp.hAPP @t2161 @t2160))))))))) % 47.01/47.29 (assume @p1332 (forall @t2180 (=> @t2172 (=> @t2179 (forall @t7 (=> @t2177 (=> @t2176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t2175) @t393))))))))) % 47.01/47.29 (assume @p1333 (forall @t2181 (=> @t2172 (forall @t7 (=> @t2169 (=> @t2176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t2160) @t393)))))))) % 47.01/47.29 (assume @p1334 (forall @t2182 (=> @t2172 (forall @t7 (=> @t2177 (=> @t2162 (tptp.hBOOL (tptp.hAPP @t2161 @t2175)))))))) % 47.01/47.29 (assume @p1335 (forall (@list @t35 @t345) (=> @t2185 (=> (forall (@list @t3 @t802) (= @t172 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t2159 (tptp.hAPP (tptp.hAPP @t1891 @t802) @t345)))))) (= @t467 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t2183 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1877 @t345))) @t172))))))) % 47.01/47.29 (assume @p1336 (forall @t2173 (=> @t2172 (=> @t2171 (=> (forall @t7 (=> @t2186 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t2167 @t48)) (not (= @t393 (tptp.hAPP (tptp.hAPP @t1878 @t422) @t3))))))) (= (tptp.hAPP @t2170 @t230) @t393)))))) % 47.01/47.29 (assume @p1337 (forall @t2180 (=> @t2172 (=> @t2189 (forall @t7 (=> @t2177 (=> @t2187 (not (= @t2175 @t393))))))))) % 47.01/47.29 (assume @p1338 (forall @t2173 (=> @t2172 (=> @t2190 (forall @t7 (=> @t2169 (=> @t2187 (not (= @t2160 @t393))))))))) % 47.01/47.29 (assume @p1339 (forall @t2173 (=> @t2172 (=> @t2190 (forall @t7 (=> @t2169 (=> @t2192 (tptp.hBOOL (tptp.hAPP @t2191 @t2160))))))))) % 47.01/47.29 (assume @p1340 (forall @t2180 (=> @t2172 (=> @t2189 (forall @t7 (=> @t2177 (=> @t2193 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2175) @t393))))))))) % 47.01/47.29 (assume @p1341 (forall @t2180 (=> @t2172 (=> @t2179 (=> (forall @t7 (=> @t2186 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t2167 @t51)) (not (= @t393 (tptp.hAPP (tptp.hAPP @t1924 @t422) @t3))))))) (= (tptp.hAPP @t2178 @t230) @t393)))))) % 47.01/47.29 (assume @p1342 (forall @t2182 (=> @t2172 (forall @t7 (=> @t2177 (=> @t2192 (tptp.hBOOL (tptp.hAPP @t2191 @t2175)))))))) % 47.01/47.29 (assume @p1343 (forall @t2181 (=> @t2172 (forall @t7 (=> @t2169 (=> @t2193 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2160) @t393)))))))) % 47.01/47.29 (assume @p1344 (forall @t2200 (and @t2199 (=> (not @t2196) (= @t2194 @t1870))))) % 47.01/47.29 (assume @p1345 (forall @t1909 (=> (tptp.hBOOL (tptp.hAPP @t2025 @t1486)) (= @t2028 (tptp.hAPP @t2134 (tptp.hAPP @t1823 @t2201)))))) % 47.01/47.29 (assume @p1346 (forall (@list @t260 @t35 @t34) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t2204) @t171))) (= (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP (tptp.hAPP @t1720 @t35) @t1824)) (tptp.hAPP (tptp.hAPP @t1720 @t34) @t1824)) (tptp.hAPP (tptp.hAPP @t1720 (tptp.hAPP (tptp.hAPP @t2203 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 tptp.tc_Nat_Onat) @t643) @t35)) @t34)) @t1824))))) % 47.01/47.29 (assume @p1347 (forall @t2209 (=> @t2185 (=> (forall @t7 (=> @t172 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t2159 @t345))))) (=> @t2208 (forall @t7 (=> @t172 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t2159 @t2206)))))))))) % 47.01/47.29 (assume @p1348 (forall @t2209 (=> @t2185 (=> (forall @t7 (=> @t172 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t2174 @t345))))) (=> @t2208 (forall @t7 (=> @t172 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t2174 @t2206)))))))))) % 47.01/47.29 (assume @p1349 (forall @t483 (= (tptp.hAPP tptp.c_Int_Onat @t1889) @t369))) % 47.01/47.29 (assume @p1350 (= @t2210 @t520)) % 47.01/47.29 (assume @p1351 (= @t520 @t2210)) % 47.01/47.29 (assume @p1352 (forall @t487 (=> @t2153 (=> @t2152 (= (tptp.hAPP (tptp.hAPP @t643 @t2212) @t2211) (tptp.hAPP tptp.c_Int_Onat @t2194)))))) % 47.01/47.29 (assume @p1353 (forall (@list @t2213 @t202) (=> @t2216 (=> (tptp.hBOOL (tptp.hAPP @t2025 @t2213)) (= (= @t2215 @t2214) (= @t202 @t2213)))))) % 47.01/47.29 (assume @p1354 (forall @t2157 (= @t467 (exists @t7 (and @t2156 @t2217))))) % 47.01/47.29 (assume @p1355 (forall @t2157 (= @t375 (forall @t7 (=> @t2156 @t2217))))) % 47.01/47.29 (assume @p1356 (forall @t2141 (=> @t2221 (=> @t2220 (= (= @t2219 @t2218) @t129))))) % 47.01/47.29 (assume @p1357 (= @t1449 @t2222)) % 47.01/47.29 (assume @p1358 (forall @t2136 (= (tptp.hAPP @t2223 @t2135) @t51))) % 47.01/47.29 (assume @p1359 (forall @t2146 (= (tptp.hAPP (tptp.hAPP @t2225 @t51) @t48) (tptp.hAPP @t2223 (tptp.hAPP (tptp.hAPP @t2224 @t2135) @t2145))))) % 47.01/47.29 (assume @p1360 (= @t1867 (tptp.hAPP @t2223 @t2079))) % 47.01/47.29 (assume @p1361 (forall @t2229 (= (= @t2228 @t520) @t2227))) % 47.01/47.29 (assume @p1362 (forall @t2035 (=> @t2232 @t2231))) % 47.01/47.29 (assume @p1363 (forall @t2050 (=> @t2041 @t2236))) % 47.01/47.29 (assume @p1364 (forall @t1885 (= @t2235 (and @t2041 @t1884)))) % 47.01/47.29 (assume @p1365 (forall @t2141 (=> @t2221 (=> @t2220 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t2219) @t2218)) @t2238))))) % 47.01/47.29 (assume @p1366 (= @t2222 @t904)) % 47.01/47.29 (assume @p1367 (forall @t2035 (and @t2241 (=> (not @t2034) (= @t2239 @t1870))))) % 47.01/47.29 (assume @p1368 (forall @t2242 (= (= @t1886 @t202) (and (= @t496 @t2215) @t2216)))) % 47.01/47.29 (assume @p1369 (forall @t2035 @t2241)) % 47.01/47.29 (assume @p1370 (forall @t2242 (= (tptp.hBOOL (tptp.hAPP @t859 @t2215)) (tptp.hBOOL (tptp.hAPP @t1887 @t202))))) % 47.01/47.29 (assume @p1371 (forall @t505 (= @t1547 (tptp.hAPP @t2223 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1886 @t1872))))) % 47.01/47.29 (assume @p1372 (forall @t893 (=> @t2248 (= (tptp.hAPP @t1656 @t51) (tptp.hAPP (tptp.hAPP @t2246 @t2245) @t2135))))) % 47.01/47.29 (assume @p1373 (forall @t1909 (= (tptp.hAPP @t2149 @t2028) @t2201))) % 47.01/47.29 (assume @p1374 (forall @t1556 (= (tptp.hAPP @t2149 @t2017) @t2249))) % 47.01/47.29 (assume @p1375 (forall @t2032 (= (tptp.hBOOL (tptp.hAPP @t822 @t2215)) @t2041))) % 47.01/47.29 (assume @p1376 (forall @t1885 (=> @t2250 @t2236))) % 47.01/47.29 (assume @p1377 (forall @t2141 (=> @t2221 (=> @t2220 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t2219) @t2218)) @t2252))))) % 47.01/47.29 (assume @p1378 (forall @t2254 (= (= @t2233 @t496) @t2253))) % 47.01/47.29 (assume @p1379 (forall (@list @t1615 @t496) (= (= @t496 @t2233) @t2253))) % 47.01/47.29 (assume @p1380 (forall @t1885 (=> (or (tptp.hBOOL (tptp.hAPP @t1919 @t1615)) @t2216) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t2233) @t2215)) @t2024)))) % 47.01/47.29 (assume @p1381 (forall @t2256 (= (tptp.hBOOL (tptp.hAPP @t35 @t2228)) (and (forall @t432 (=> (= @t1144 @t2022) (tptp.hBOOL (tptp.hAPP @t35 @t429)))) (=> (tptp.hBOOL (tptp.hAPP @t2255 @t1870)) @t604))))) % 47.01/47.29 (assume @p1382 (forall @t2259 (=> @t2034 (=> @t2258 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2059 @t2071)) (tptp.hAPP (tptp.hAPP @t1274 @t2230) @t2257)))))) % 47.01/47.29 (assume @p1383 (forall @t487 (=> @t2153 (=> @t2152 (= (tptp.hAPP (tptp.hAPP @t1274 @t2212) @t2211) (tptp.hAPP tptp.c_Int_Onat @t2151)))))) % 47.01/47.29 (assume @p1384 (forall @t2259 (=> @t2034 (= @t2260 (tptp.hAPP (tptp.hAPP @t1625 @t2230) @t2257))))) % 47.01/47.29 (assume @p1385 (forall @t487 (=> @t2153 (=> @t2152 (= (tptp.hAPP (tptp.hAPP @t1625 @t2212) @t2211) (tptp.hAPP tptp.c_Int_Onat @t2158)))))) % 47.01/47.29 (assume @p1386 (forall @t2146 (= (tptp.hAPP (tptp.hAPP @t1914 @t51) @t48) (tptp.hAPP @t2223 (tptp.hAPP (tptp.hAPP @t2261 @t2135) @t2145))))) % 47.01/47.29 (assume @p1387 (forall (@list @t101 @t2071) (=> @t2258 (=> @t2073 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2262 @t2071)) (tptp.hAPP (tptp.hAPP @t643 @t2230) @t2257)))))) % 47.01/47.29 (assume @p1388 (forall @t893 (= @t796 (tptp.hAPP tptp.c_Int_Onat @t1908)))) % 47.01/47.29 (assume @p1389 (forall @t1556 (= (tptp.hAPP @t2149 @t2013) @t2249))) % 47.01/47.29 (assume @p1390 (forall @t2032 (= (tptp.hBOOL (tptp.hAPP @t1775 @t2215)) (tptp.hBOOL (tptp.hAPP @t2263 @t202))))) % 47.01/47.29 (assume @p1391 (forall @t2254 (=> @t2250 (= (tptp.hBOOL (tptp.hAPP @t2234 @t496)) (tptp.hBOOL (tptp.hAPP @t1883 @t1886)))))) % 47.01/47.29 (assume @p1392 (forall @t2035 (=> @t2034 (= (tptp.hAPP tptp.c_Nat_OSuc @t2230) (tptp.hAPP tptp.c_Int_Onat @t2033))))) % 47.01/47.29 (assume @p1393 (forall @t487 (=> @t2153 (=> @t2152 (tptp.hBOOL (tptp.hAPP @t2025 @t2194)))))) % 47.01/47.29 (assume @p1394 (forall @t2200 @t2199)) % 47.01/47.29 (assume @p1395 (forall @t487 (= (tptp.c_Nat__Transfer_Otsub @t2139 @t2138) (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t643 @t75) @t95))))) % 47.01/47.29 (assume @p1396 (forall @t1556 (= (tptp.hAPP @t2149 @t2015) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t1878 @t2019) @t1877))))) % 47.01/47.29 (assume @p1397 (forall @t1556 (= (tptp.hAPP @t2149 @t2027) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2018 @t2014))))) % 47.01/47.29 (assume @p1398 (forall @t665 (= (tptp.c_Int_Onat__aux @t559 @t369) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP tptp.c_Int_Onat @t559)) @t369)))) % 47.01/47.29 (assume @p1399 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t2025)) % 47.01/47.29 (assume @p1400 (forall @t505 (=> (tptp.c_Nat__Transfer_Ois__nat @t496) (=> (tptp.c_Nat__Transfer_Ois__nat @t260) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t496 @t260) (tptp.hAPP @t2134 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t496) (tptp.hAPP tptp.c_Int_Onat @t260)))))))) % 47.01/47.29 (assume @p1401 (forall @t2146 (=> @t2268 (=> @t2267 (= @t2266 (tptp.hAPP @t2134 (tptp.hAPP (tptp.hAPP @t1914 @t2265) @t2264))))))) % 47.01/47.29 (assume @p1402 (forall @t2146 (=> @t2268 (=> @t2267 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2147 @t51) @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2148 @t2265) @t2264))))))) % 47.01/47.29 (assume @p1403 (forall @t2026 (=> @t2084 (exists @t432 (and @t2269 (= @t558 @t2022)))))) % 47.01/47.29 (assume @p1404 (forall @t2272 (=> @t2268 (=> @t2271 @t2270)))) % 47.01/47.29 (assume @p1405 (forall @t2141 (=> @t2270 @t2273))) % 47.01/47.29 (assume @p1406 (forall @t2146 (=> @t2268 (=> @t2267 (tptp.c_Nat__Transfer_Onat__set @t2266))))) % 47.01/47.29 (assume @p1407 (forall @t2146 (=> @t2268 (=> @t2267 (tptp.c_Nat__Transfer_Onat__set @t2274))))) % 47.01/47.29 (assume @p1408 (forall @t2146 (=> @t2268 (=> @t2267 (= @t61 (= @t2265 @t2264)))))) % 47.01/47.29 (assume @p1409 (tptp.c_Nat__Transfer_Ois__nat @t1870)) % 47.01/47.29 (assume @p1410 (forall @t487 (=> @t2276 (=> @t2275 (tptp.c_Nat__Transfer_Ois__nat @t2151))))) % 47.01/47.29 (assume @p1411 (forall @t2035 (tptp.c_Nat__Transfer_Ois__nat @t2154))) % 47.01/47.29 (assume @p1412 (tptp.c_Nat__Transfer_Ois__nat @t1877)) % 47.01/47.29 (assume @p1413 (forall @t487 (=> @t2276 (=> @t2275 (tptp.c_Nat__Transfer_Ois__nat @t2158))))) % 47.01/47.29 (assume @p1414 (forall @t487 (=> @t2276 (=> @t2275 (tptp.c_Nat__Transfer_Ois__nat @t2194))))) % 47.01/47.29 (assume @p1415 (forall @t2144 (=> @t2270 (=> @t2268 (= @t2271 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1476 @t2219) @t2265))))))) % 47.01/47.29 (assume @p1416 (tptp.c_Nat__Transfer_Onat__set @t2079)) % 47.01/47.29 (assume @p1417 (forall (@list @t386) (= (tptp.c_Nat__Transfer_Onat__set @t386) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2183 @t386)) @t2156))))) % 47.01/47.29 (assume @p1418 (forall @t2277 (= @t2270 @t2221))) % 47.01/47.29 (assume @p1419 (forall (@list @t161) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2134 @t161)))) % 47.01/47.29 (assume @p1420 (forall @t2141 (=> @t2221 @t2273))) % 47.01/47.29 (assume @p1421 (forall @t2146 (=> @t2268 (=> @t2267 (= @t2274 (tptp.hAPP @t2134 (tptp.hAPP (tptp.hAPP @t2225 @t2265) @t2264))))))) % 47.01/47.29 (assume @p1422 (forall @t2136 (=> @t2268 (= (tptp.hAPP @t2134 @t2265) @t51)))) % 47.01/47.29 (assume @p1423 (forall @t2272 (=> @t2268 (=> @t2271 @t2221)))) % 47.01/47.29 (assume @p1424 (forall @t769 (=> @t2248 (=> @t2268 (= @t2280 (tptp.hAPP (tptp.hAPP @t1550 @t2278) @t2265)))))) % 47.01/47.29 (assume @p1425 (forall @t2136 (=> @t2268 (= (tptp.hBOOL (tptp.hAPP @t2029 @t51)) (tptp.hBOOL (tptp.hAPP @t1479 @t2265)))))) % 47.01/47.29 (assume @p1426 (forall @t2136 (=> @t2268 (= (tptp.hAPP @t2149 @t51) (tptp.hAPP @t1739 @t2265))))) % 47.01/47.29 (assume @p1427 (forall @t2146 (=> @t2268 (=> @t2267 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2150 @t51) @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1931 @t2265) @t2264))))))) % 47.01/47.29 (assume @p1428 (forall @t769 (=> @t2282 (= (tptp.hAPP (tptp.hAPP @t1907 @t2) @t51) (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t794 @t2281) @t51)))))) % 47.01/47.29 (assume @p1429 (forall @t555 (= @t2284 (tptp.hAPP @t2223 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1870 @t1872))))) % 47.01/47.29 (assume @p1430 (forall @t1844 (=> @t720 (=> @t2009 (= (tptp.hAPP @t2287 @t2007) @t1895))))) % 47.01/47.29 (assume @p1431 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t1897 @t1839) @t2288))))) % 47.01/47.29 (assume @p1432 (forall (@list @t1486 @t15) (=> @t720 (= (tptp.hAPP (tptp.hAPP @t55 @t1895) @t1846) @t2288)))) % 47.01/47.29 (assume @p1433 (forall (@list @t101 @t75 @t193) (=> @t2291 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t2197 @t2290)) @t101))))) % 47.01/47.29 (assume @p1434 (forall @t1856 (tptp.hBOOL (tptp.hAPP @t1479 @t2292)))) % 47.01/47.29 (assume @p1435 (forall @t406 (=> @t2296 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2293 @t885)) @t2295))))) % 47.01/47.29 (assume @p1436 (forall @t406 (=> @t2296 (tptp.hBOOL (tptp.hAPP @t1335 @t2295))))) % 47.01/47.29 (assume @p1437 (forall @t138 (=> @t720 (= (= @t2298 @t2297) @t129)))) % 47.01/47.29 (assume @p1438 (forall @t159 (=> @t2301 (= (tptp.hAPP @t2299 @t2300) @t2300)))) % 47.01/47.29 (assume @p1439 (forall @t155 (=> @t2301 (=> @t2302 @t123)))) % 47.01/47.29 (assume @p1440 (forall @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t121 @t2300))))) % 47.01/47.29 (assume @p1441 (forall @t1458 (=> @t2301 (= (tptp.hAPP @t2299 @t636) @t636)))) % 47.01/47.29 (assume @p1442 (forall @t292 (=> @t2296 (= (= @t2303 @t624) @t1261)))) % 47.01/47.29 (assume @p1443 (forall @t155 (=> @t2301 (= (tptp.hAPP @t2299 @t2305) @t2305)))) % 47.01/47.29 (assume @p1444 (forall @t159 (=> @t1474 (= (tptp.hAPP @t2306 @t2300) @t1581)))) % 47.01/47.29 (assume @p1445 (forall @t155 (=> @t1474 @t2308))) % 47.01/47.29 (assume @p1446 (forall @t155 (=> @t2301 (= @t2312 @t2311)))) % 47.01/47.29 (assume @p1447 (forall @t1458 (=> @t1474 (= (tptp.hAPP @t2299 @t1456) @t1456)))) % 47.01/47.29 (assume @p1448 (forall @t1923 (=> @t1474 (= (tptp.hAPP @t2299 @t1922) @t1922)))) % 47.01/47.29 (assume @p1449 (forall @t588 (= (tptp.hAPP @t2289 @t1876) @t1876))) % 47.01/47.29 (assume @p1450 (forall @t406 (=> @t2296 (= (tptp.hAPP @t2293 @t2295) @t2295)))) % 47.01/47.29 (assume @p1451 (forall @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t1338 @t2300))))) % 47.01/47.29 (assume @p1452 (forall @t292 (=> @t2296 (= (tptp.hBOOL (tptp.hAPP @t2313 @t624)) @t1261)))) % 47.01/47.29 (assume @p1453 (forall @t159 (=> @t2301 (=> @t1340 @t2314)))) % 47.01/47.29 (assume @p1454 (forall @t159 (=> @t2301 (not (tptp.hBOOL (tptp.hAPP @t2315 @t636)))))) % 47.01/47.29 (assume @p1455 (forall @t292 (=> @t2296 (= (tptp.hBOOL (tptp.hAPP @t1351 @t2303)) @t2316)))) % 47.01/47.29 (assume @p1456 (forall @t159 (=> @t2301 (=> @t1359 @t2314)))) % 47.01/47.29 (assume @p1457 (forall @t155 (=> @t2301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t2299 @t1221)) @t2305))))) % 47.01/47.29 (assume @p1458 (forall @t195 (=> @t1474 (=> (tptp.hBOOL (tptp.hAPP @t2315 @t113)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2304) @t193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2307) (tptp.hAPP @t1687 @t193)))))))) % 47.01/47.29 (assume @p1459 (forall @t155 (=> @t2301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t2299 @t2317)) @t2312))))) % 47.01/47.29 (assume @p1460 (forall @t155 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2318 @t2312))))) % 47.01/47.29 (assume @p1461 (forall @t155 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2318 @t2311))))) % 47.01/47.29 (assume @p1462 (forall @t494 (=> (= (tptp.hAPP @t2289 @t2319) @t1877) (= (tptp.hAPP @t2289 @t488) @t1877)))) % 47.01/47.29 (assume @p1463 (forall @t155 (=> (tptp.class_Rings_Oordered__ring__abs @t76) (=> (and (or @t1340 @t1350) (or @t1339 @t1349)) @t2308)))) % 47.01/47.29 (assume @p1464 (forall @t100 (=> @t1474 (=> @t1768 (= (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP @t2299 @t95)) @t75) (tptp.hAPP @t2299 @t1769)))))) % 47.01/47.29 (assume @p1465 (forall @t155 (=> @t2301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2312) @t2305))))) % 47.01/47.29 (assume @p1466 (forall @t1251 (=> @t2301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t2299 (tptp.hAPP @t1273 @t1522))) (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t2299 (tptp.hAPP @t638 @t113))) (tptp.hAPP @t2299 (tptp.hAPP @t2309 @t193)))))))) % 47.01/47.29 (assume @p1467 (forall @t555 (= @t1809 @t2284))) % 47.01/47.29 (assume @p1468 (forall @t1856 (= @t1961 @t2292))) % 47.01/47.29 (assume @p1469 (forall @t1909 (= (tptp.hAPP @t1739 (tptp.hAPP @t2283 @t1486)) @t1738))) % 47.01/47.29 (assume @p1470 (forall @t1856 (= (tptp.hAPP @t2283 @t1448) (tptp.hAPP @t2320 @t2292)))) % 47.01/47.29 (assume @p1471 (forall @t1969 (=> @t1968 (= (tptp.hBOOL (tptp.hAPP @t1146 @t2321)) (tptp.hBOOL (tptp.hAPP @t1949 @t469)))))) % 47.01/47.29 (assume @p1472 (forall @t2032 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t2289 @t202)) @t1877)) @t2322))) % 47.01/47.29 (assume @p1473 (forall @t2040 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2289 @t2095)) (tptp.hAPP (tptp.hAPP @t1625 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2289 @t2038))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2289 @t101)))))) % 47.01/47.29 (assume @p1474 (forall @t138 (=> @t136 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2298) @t2297)) @t132)))) % 47.01/47.29 (assume @p1475 (forall @t1983 (=> @t834 (= (tptp.hAPP @t1656 (tptp.hAPP @t2283 @t261)) (tptp.hAPP (tptp.hAPP @t1223 (tptp.hAPP @t1656 @t2284)) @t1784))))) % 47.01/47.29 (assume @p1476 (= (tptp.hAPP @t2283 @t520) @t1994)) % 47.01/47.29 (assume @p1477 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t2287 @t1840) @t2288))))) % 47.01/47.29 (assume @p1478 (forall @t1844 (=> @t136 (= (tptp.hAPP @t2323 @t1840) @t289)))) % 47.01/47.29 (assume @p1479 (forall @t1844 (=> @t136 (= (tptp.hAPP @t2323 @t2007) @t289)))) % 47.01/47.29 (assume @p1480 (forall (@list @t75 @t101 @t193) (=> @t2291 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t101) (tptp.hAPP @t2066 @t2290)))))) % 47.01/47.29 (assume @p1481 (forall @t487 (= (tptp.c_Nitpick_Oint__lcm @t75 @t95) (tptp.hAPP @t1871 (tptp.c_Nitpick_Onat__lcm @t2326 @t2324))))) % 47.01/47.29 (assume @p1482 (forall @t1838 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP @t2285 @t260)) (tptp.hAPP @t2327 @t260)) (tptp.hAPP (tptp.hAPP @t297 @t260) @t289))))) % 47.01/47.29 (assume @p1483 (forall @t2329 (=> @t2248 (=> @t61 (=> @t2267 (=> @t2328 (= @t2280 (tptp.hAPP (tptp.hAPP @t2246 @t1) @t48)))))))) % 47.01/47.29 (assume @p1484 (forall (@list @t276 @t277 @t278 @t2 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t2333) @t276)) (exists @t1166 (and (= @t2333 @t2331) (tptp.hBOOL (tptp.hAPP @t2330 @t276)) (not @t1165)))))) % 47.01/47.29 (assume @p1485 (forall (@list @t47 @t508 @t290 @t2 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t15 @t2 @t2334) @t47)) (not (forall @t1166 (=> (= @t2334 @t2331) (=> (tptp.hBOOL (tptp.hAPP @t2330 @t47)) @t1165))))))) % 47.01/47.29 (assume @p1486 (forall (@list @t469 @t2 @t260) (=> (forall @t952 (=> @t2341 @t2339)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1722) @t469)) (=> @t2338 (exists @t952 (and @t2336 @t2335))))))) % 47.01/47.29 (assume @p1487 (forall @t138 (=> @t720 (= (= @t2343 @t2342) @t129)))) % 47.01/47.29 (assume @p1488 (forall @t1969 (=> @t1968 (= (tptp.hBOOL (tptp.hAPP @t1146 @t2344)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t469) @t1144)))))) % 47.01/47.29 (assume @p1489 (forall @t138 (=> @t136 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2343) @t2342)) @t135)))) % 47.01/47.29 (assume @p1490 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP @t1849 @t2346) @t2345))))) % 47.01/47.29 (assume @p1491 (forall @t1844 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t962 @t1848) @t2346) @t289)))) % 47.01/47.29 (assume @p1492 (forall @t1844 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t962 @t2007) @t2346) @t289)))) % 47.01/47.29 (assume @p1493 (forall @t1856 (= @t2349 (tptp.hAPP (tptp.hAPP @t2348 (tptp.hAPP @t2347 @t469)) (tptp.hAPP @t1960 @t1867))))) % 47.01/47.29 (assume @p1494 (forall @t1844 (=> @t720 (=> @t2009 (= (tptp.hAPP @t2008 @t2346) @t2351))))) % 47.01/47.29 (assume @p1495 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP (tptp.hAPP @t55 @t1839) @t2352) @t2345))))) % 47.01/47.29 (assume @p1496 (forall (@list @t1490 @t15) (=> @t720 (= (tptp.hAPP @t1841 @t2351) @t2345)))) % 47.01/47.29 (assume @p1497 (forall @t67 (=> @t1852 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t2355)))))))) % 47.01/47.29 (assume @p1498 (forall @t385 (=> @t1852 (=> @t329 (=> @t928 (=> @t357 @t2356)))))) % 47.01/47.29 (assume @p1499 (forall @t138 (=> @t720 (= (= @t2358 @t2357) @t129)))) % 47.01/47.29 (assume @p1500 (forall @t1856 (= @t2349 @t2360))) % 47.01/47.29 (assume @p1501 (forall (@list @t290 @t2 @t15) (= (tptp.hAPP @t2361 @t335) @t290))) % 47.01/47.29 (assume @p1502 (forall (@list @t290 @t2 @t15 @t1) (=> (= @t1 @t2361) (= (tptp.hAPP @t1 @t335) @t290)))) % 47.01/47.29 (assume @p1503 (forall @t1143 (=> @t1102 @t2363))) % 47.01/47.29 (assume @p1504 (forall @t1969 (=> @t1968 (= (tptp.hBOOL (tptp.hAPP @t1146 @t2364)) (tptp.hBOOL (tptp.hAPP @t768 @t1144)))))) % 47.01/47.29 (assume @p1505 (forall @t138 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2358) @t2357)) @t135)))) % 47.01/47.29 (assume @p1506 (forall @t893 (= @t2362 (tptp.c_HOL_OThe @t15 @t2097)))) % 47.01/47.29 (assume @p1507 (forall @t170 (=> @t73 (=> @t928 (= @t1140 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t15 @t70) @t51)))))) % 47.01/47.29 (assume @p1508 (forall @t170 (=> @t73 (=> @t928 (= @t1138 @t2365))))) % 47.01/47.29 (assume @p1509 (forall @t1085 (=> @t1000 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2365) @t290))))))) % 47.01/47.29 (assume @p1510 (forall @t385 (=> @t1000 (=> @t928 (=> @t329 (= (tptp.hBOOL (tptp.hAPP @t131 @t2365)) @t2367)))))) % 47.01/47.29 (assume @p1511 (forall @t385 (=> @t1654 (=> @t329 (=> @t928 @t2356))))) % 47.01/47.29 (assume @p1512 (forall @t67 (=> @t1654 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t2355))))))) % 47.01/47.29 (assume @p1513 (forall @t1844 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t962 @t1839) @t2352) @t289)))) % 47.01/47.29 (assume @p1514 (forall @t1844 (=> @t720 (=> @t1843 (= (tptp.hAPP (tptp.hAPP @t55 @t1840) @t2352) @t2351))))) % 47.01/47.29 (assume @p1515 (forall @t1844 (=> @t136 (= (tptp.hAPP (tptp.hAPP @t962 @t1840) @t2352) @t289)))) % 47.01/47.29 (assume @p1516 (forall @t1856 (= (tptp.hAPP @t2359 @t1448) (tptp.hAPP (tptp.hAPP @t2348 @t2360) (tptp.hAPP @t2320 @t1867))))) % 47.01/47.29 (assume @p1517 (forall @t1143 (=> (tptp.c_Big__Operators_Osemilattice__big @t15 @t2 @t1062) @t2363))) % 47.01/47.29 (assume @p1518 (forall @t170 (=> @t1852 (=> @t928 (=> @t329 (=> (forall @t787 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2368) @t1141))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2354) @t51)))))))) % 47.01/47.29 (assume @p1519 (forall @t1191 (=> @t1654 (=> (forall @t787 (= (tptp.hAPP @t899 @t2368) (tptp.hAPP (tptp.hAPP @t1590 @t1190) @t1189))) (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.hAPP @t2353 @t846)) (tptp.hAPP @t2353 @t1186)))))))) % 47.01/47.29 (assume @p1520 (forall @t2385 (=> (not @t2384) (= @t2382 @t2377)))) % 47.01/47.29 (assume @p1521 (forall @t2385 (=> @t2384 (not (= @t2377 @t520))))) % 47.01/47.29 (assume @p1522 (forall @t2385 (=> @t2384 (= (tptp.hAPP tptp.c_Nat_OSuc @t2382) @t2377)))) % 47.01/47.29 (assume @p1523 (forall @t2391 (=> @t2390 @t2388))) % 47.01/47.29 (assume @p1524 (forall @t2398 (=> (or @t2397 @t2396) (tptp.hBOOL (tptp.hAPP @t927 @t2394))))) % 47.01/47.29 (assume @p1525 (forall @t1856 (tptp.hBOOL (tptp.hAPP @t1479 (tptp.hAPP @t2376 (tptp.hAPP @t2370 @t469)))))) % 47.01/47.29 (assume @p1526 (forall @t1856 (tptp.hBOOL (tptp.hAPP @t1479 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2369 @t489) @t469)))))) % 47.01/47.29 (assume @p1527 (forall @t376 (= @t2387 @t35))) % 47.01/47.29 (assume @p1528 (forall @t376 (= (= @t289 @t2387) @t2400))) % 47.01/47.29 (assume @p1529 (forall @t376 (= (= @t2387 @t289) @t2400))) % 47.01/47.29 (assume @p1530 (forall @t170 (= (tptp.hAPP @t2386 @t622) @t51))) % 47.01/47.29 (assume @p1531 (forall @t2401 (= @t2388 @t2390))) % 47.01/47.29 (assume @p1532 (forall @t2401 (=> @t2388 @t2390))) % 47.01/47.29 (assume @p1533 (forall @t594 (= @t289 (tptp.hAPP @t2386 @t2403)))) % 47.01/47.29 (assume @p1534 (forall @t2398 (= (tptp.hBOOL (tptp.hAPP @t927 @t2405)) (and @t2397 @t2396)))) % 47.01/47.29 (assume @p1535 (forall @t2401 (= (tptp.hAPP @t318 @t2387) (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2406 (tptp.hAPP @t792 @t680))) @t35))))) % 47.01/47.29 (assume @p1536 (forall @t2398 (= @t2405 (tptp.hAPP (tptp.hAPP @t55 @t2387) @t2395)))) % 47.01/47.29 (assume @p1537 (forall @t2398 (= @t2394 (tptp.hAPP (tptp.hAPP @t962 @t2387) @t2395)))) % 47.01/47.29 (assume @p1538 (forall @t326 (= @t325 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2404 @t680)) @t1034))))) % 47.01/47.29 (assume @p1539 (forall @t67 (= @t57 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2404 @t622)) @t1034))))) % 47.01/47.29 (assume @p1540 (forall @t67 (= @t964 @t2407))) % 47.01/47.29 (assume @p1541 (forall (@list @t35 @t51 @t47 @t15) (= (tptp.hBOOL (tptp.hAPP @t323 @t2408)) (and @t331 @t168)))) % 47.01/47.29 (assume @p1542 (forall @t292 (= (tptp.hAPP @t2386 @t1075) @t335))) % 47.01/47.29 (assume @p1543 (forall @t292 (= @t2409 @t335))) % 47.01/47.29 (assume @p1544 (forall @t2391 (and (=> @t2390 (= @t2410 @t335)) (=> @t2411 (= @t2410 @t289))))) % 47.01/47.29 (assume @p1545 (forall @t2391 (and (=> @t2390 (= @t2412 @t335)) (=> @t2411 (= @t2412 @t289))))) % 47.01/47.29 (assume @p1546 (forall @t67 (= @t537 (tptp.hAPP @t2386 (tptp.hAPP @t811 (tptp.hAPP @t792 @t1034)))))) % 47.01/47.29 (assume @p1547 (forall @t326 (= @t325 (tptp.hAPP (tptp.hAPP @t55 @t2409) @t48)))) % 47.01/47.29 (assume @p1548 (forall @t2256 (tptp.hBOOL (tptp.hAPP @t1479 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2375 (tptp.hAPP @t2374 @t35)) @t2378)))))) % 47.01/47.29 (assume @p1549 (forall (@list @t387 @t2 @t1153 @t71 @t386 @t15 @t184) (=> @t940 (=> @t1073 (=> @t2429 (= (tptp.hAPP (tptp.hAPP @t932 (tptp.hAPP @t2428 @t2423)) @t386) (tptp.hAPP (tptp.hAPP @t933 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t71 @t54 @t184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t15 @t184) (tptp.tc_fun @t54 @t184) @t71) @t932) (tptp.hAPP (tptp.c_COMBC @t15 @t71 @t184) @t2))) (tptp.hAPP @t2416 (tptp.hAPP (tptp.hAPP @t2415 @t2414) @t2413)))) @t1153))))))) % 47.01/47.29 (assume @p1550 (forall (@list @t386 @t1 @t2 @t35 @t15 @t71) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 (tptp.hAPP (tptp.hAPP @t888 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t71 @t15 @t886) (tptp.hAPP @t2435 @t35)) @t2)) @t1)) @t386) (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t85 (tptp.hAPP @t2431 @t2432))) (tptp.hAPP @t1421 (tptp.hAPP @t2431 (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t2430 tptp.c_fNot) @t35)))))))) % 47.01/47.29 (assume @p1551 (forall (@list @t260 @t2 @t15 @t51) (=> (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t15 @t2) (tptp.hAPP @t2376 (tptp.hAPP @t2370 @t260)))) @t928))) % 47.01/47.29 (assume @p1552 (forall @t1041 (=> @t954 (=> @t928 (= (tptp.hAPP @t921 @t2407) @t1039))))) % 47.01/47.29 (assume @p1553 (forall (@list @t2 @t184 @t1 @t386 @t15 @t71) (=> @t954 (=> @t1073 (= (tptp.hAPP @t947 @t386) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t184 @t71) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t71 @t184) @t947) (tptp.hAPP (tptp.hAPP @t2437 @t2386) (tptp.hAPP (tptp.hAPP @t2437 @t2414) (tptp.hAPP (tptp.c_COMBC @t15 @t184 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t184 @t828 @t15) tptp.c_fequal) @t2)))))) (tptp.hAPP @t2436 @t386))))))) % 47.01/47.29 (assume @p1554 (forall (@list @t469 @t387 @t1153 @t71 @t386 @t15) (=> @t1073 (=> @t2429 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t401 @t1153)) (= (tptp.hAPP @t1207 (tptp.hAPP @t2386 (tptp.hAPP @t2414 @t2439))) @t469))) (= (tptp.hAPP (tptp.hAPP @t794 (tptp.hAPP @t2438 @t2423)) @t386) (tptp.hAPP @t1630 (tptp.hAPP @t1364 @t1153)))))))) % 47.01/47.29 (assume @p1555 (forall (@list @t35 @t2 @t290 @t15) (=> (tptp.hBOOL (tptp.hAPP @t291 @t2440)) (=> @t686 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t962 @t2440) @t2387)))) @t172)) @t2390))))) % 47.01/47.29 (assume @p1556 (forall (@list @t35 @t290 @t2 @t15 @t51) (=> (= @t51 @t2440) (=> @t686 (=> @t293 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t2 @t2408))) @t172)) @t2390)))))) % 47.01/47.29 (assume @p1557 (forall (@list @t508 @t290 @t35 @t15 @t51) (=> (= @t51 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t54 @t2445)) (=> (tptp.c_Orderings_Oorder__class_Omono @t54 @t54 @t2445) (=> @t685 (=> (forall @t2443 (=> (tptp.hBOOL (tptp.hAPP @t2442 @t508)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t683) @t2441)))) @t293)))))) % 47.01/47.29 (assume @p1558 (forall (@list @t469 @t387 @t393 @t71 @t543 @t15) (=> @t1150 (=> (tptp.hBOOL (tptp.hAPP @t1082 @t393)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t401 @t393)) (= (tptp.hAPP @t1207 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 (tptp.hAPP @t389 @t543))) @t2439))) (tptp.hAPP @t469 @t3)))) (= (tptp.hAPP (tptp.hAPP @t794 (tptp.hAPP @t2438 (tptp.hAPP @t2422 (tptp.hAPP (tptp.hAPP @t2420 (tptp.hAPP @t2419 (tptp.hAPP @t2418 (tptp.hAPP @t421 @t393)))) @t387)))) @t543) (tptp.hAPP (tptp.hAPP @t1956 @t469) @t393))))))) % 47.01/47.29 (assume @p1559 (forall @t385 (=> @t2454 (=> @t928 (=> @t329 (= (tptp.hAPP @t998 @t1140) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2451 (tptp.hAPP @t2450 (tptp.hAPP @t2448 @t998)))) @t622)))))))))) % 47.01/47.29 (assume @p1560 (forall @t170 (=> @t928 (tptp.hBOOL (tptp.hAPP @t1093 @t2456))))) % 47.01/47.29 (assume @p1561 (forall @t170 (= @t552 @t2456))) % 47.01/47.29 (assume @p1562 (forall (@list @t34 @t71 @t35 @t15) (=> @t2397 (= (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t2421 (tptp.hAPP @t2463 (tptp.hAPP (tptp.hAPP @t2415 @t2393) @t34))))) (forall @t2461 (=> @t2460 (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t2421 (tptp.hAPP @t2458 @t783)))))))))) % 47.01/47.29 (assume @p1563 (forall @t2467 (=> @t2397 (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t2421 (tptp.hAPP @t2463 (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2449 @t776 @t71) @t810) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t2449 @t71) @t808) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t214 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t2465 @t71) @t2464) tptp.c_fequal)) @t2)))) @t35)))))))) % 47.01/47.29 (assume @p1564 (forall @t2157 (tptp.c_Nat__Transfer_Onat__set @t2473))) % 47.01/47.29 (assume @p1565 (forall @t2157 (= @t2473 (tptp.hAPP @t2134 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t35) @t1871)))))) % 47.01/47.29 (assume @p1566 (forall @t2157 (= (tptp.hAPP @t2376 @t35) (tptp.hAPP @t2223 (tptp.hAPP @t2472 (tptp.hAPP @t2471 (tptp.hAPP (tptp.hAPP @t2474 @t35) tptp.c_Int_Onat))))))) % 47.01/47.29 (assume @p1567 (forall @t67 (=> @t2454 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (= (tptp.hAPP (tptp.hAPP @t70 @t1138) @t1176) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP @t2486 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 (tptp.hAPP @t2483 (tptp.hAPP @t2481 (tptp.hAPP @t2479 @t70))))) @t2477))))))))))))) % 47.01/47.29 (assume @p1568 (forall @t385 (=> @t2454 (=> @t928 (=> @t329 (= (tptp.hAPP @t206 @t1138) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2451 (tptp.hAPP @t2450 (tptp.hAPP @t2448 @t206)))) @t622)))))))))) % 47.01/47.29 (assume @p1569 (forall @t67 (=> @t2454 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (= (tptp.hAPP (tptp.hAPP @t975 @t1140) @t1175) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP @t2486 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 (tptp.hAPP @t2483 (tptp.hAPP @t2481 (tptp.hAPP @t2479 @t975))))) @t2477))))))))))))) % 47.01/47.29 (assume @p1570 (forall @t2491 (=> @t2490 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t2487 @t2489) (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t2488))))))) % 47.01/47.29 (assume @p1571 (forall @t2491 (=> @t2490 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t2487 @t2492) (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t2488))))))) % 47.01/47.29 (assume @p1572 (forall @t170 (= @t928 (exists (@list @t429 @t578) (= @t51 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t15 @t578) (tptp.hAPP @t2376 (tptp.hAPP @t2370 @t429)))))))) % 47.01/47.29 (assume @p1573 (forall @t1206 (=> @t1058 (=> (tptp.hBOOL (tptp.hAPP @t1082 @t222)) (exists @t7 (and @t176 (not (tptp.hBOOL (tptp.hAPP @t927 (tptp.hAPP @t2386 (tptp.hAPP @t811 (tptp.hAPP @t806 @t5)))))))))))) % 47.01/47.29 (assume @p1574 (forall (@list @t2371 @t260 @t15) (= (tptp.hAPP @t2494 @t2371) (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t2493 @t1835) @t2371)) (tptp.hAPP @t2371 @t520))))) % 47.01/47.29 (assume @p1575 (= (tptp.hAPP @t2359 @t520) (tptp.hAPP @t1599 @t2495))) % 47.01/47.29 (assume @p1576 (forall @t324 (tptp.hBOOL (tptp.hAPP @t2496 @t47)))) % 47.01/47.29 (assume @p1577 (forall @t324 (tptp.hBOOL (tptp.hAPP @t323 @t2496)))) % 47.01/47.29 (assume @p1578 (forall (@list @t71 @t294 @t48 @t51 @t290 @t15) (=> @t293 (=> @t2503 @t2500)))) % 47.01/47.29 (assume @p1579 (= (tptp.hAPP @t2504 @t2347) @t2495)) % 47.01/47.29 (assume @p1580 (= (tptp.hAPP @t2504 @t2283) @t2495)) % 47.01/47.29 (assume @p1581 (forall @t2507 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2505 @t2506) @t47)) (tptp.hBOOL (tptp.hAPP @t312 (tptp.hAPP @t2505 @t1667)))))) % 47.01/47.29 (assume @p1582 (forall @t2515 (=> @t2514 (=> @t2513 (tptp.hBOOL (tptp.hAPP @t2511 @t2510)))))) % 47.01/47.29 (assume @p1583 (forall @t594 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2516) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t2516 tptp.tc_HOL_Obool)))) @t2514))) % 47.01/47.29 (assume @p1584 (forall @t2515 (= (tptp.c_Sum__Type_OPlus @t15 @t71 @t2496 @t2512) @t2517))) % 47.01/47.29 (assume @p1585 (forall @t594 (= (tptp.hAPP @t521 @t2496) @t2518))) % 47.01/47.29 (assume @p1586 (forall @t2522 (= @t2500 (exists @t7 (and @t176 @t2521))))) % 47.01/47.29 (assume @p1587 (forall @t322 (=> (tptp.class_Orderings_Otop @t15) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t72) @t47) @t2523)))) % 47.01/47.29 (assume @p1588 (= (tptp.hAPP @t2504 @t1823) @t2495)) % 47.01/47.29 (assume @p1589 (forall @t1433 (=> @t928 (= @t2525 @t2524)))) % 47.01/47.29 (assume @p1590 (forall @t2515 (=> @t2527 @t2513))) % 47.01/47.29 (assume @p1591 (forall @t170 (= (tptp.hAPP @t2528 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2530 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1866 (tptp.tc_fun @t2530 @t54) tptp.tc_Nat_Onat) @t2493) @t1858)) @t51)) @t2529))) % 47.01/47.29 (assume @p1592 (forall @t594 (not (= @t2496 @t289)))) % 47.01/47.29 (assume @p1593 (forall @t594 (=> @t1091 @t2514))) % 47.01/47.29 (assume @p1594 (forall @t170 (tptp.hBOOL (tptp.hAPP @t65 @t2496)))) % 47.01/47.29 (assume @p1595 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t55 @t2496) @t48) @t2496))) % 47.01/47.29 (assume @p1596 (forall @t170 (= (tptp.hAPP @t56 @t2496) @t2496))) % 47.01/47.29 (assume @p1597 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t962 @t2496) @t48) @t48))) % 47.01/47.29 (assume @p1598 (forall @t170 (= (tptp.hAPP @t963 @t2496) @t51))) % 47.01/47.29 (assume @p1599 (forall @t746 (=> @t2531 @t845))) % 47.01/47.29 (assume @p1600 (forall @t746 (=> @t2531 (=> @t843 @t129)))) % 47.01/47.29 (assume @p1601 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1871 @t2495)) % 47.01/47.29 (assume @p1602 (forall @t2515 (= (tptp.hBOOL (tptp.hAPP @t1513 @t2517)) (and @t2514 @t2513)))) % 47.01/47.29 (assume @p1603 (not (tptp.hBOOL (tptp.hAPP @t1479 @t2495)))) % 47.01/47.29 (assume @p1604 (forall @t594 (= @t2496 (tptp.hAPP @t2386 (tptp.hAPP @t2402 tptp.c_fTrue))))) % 47.01/47.29 (assume @p1605 (forall (@list @t1 @t2 @t184 @t15 @t71) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t184 @t15 @t71) @t2) @t1)) @t2512) (tptp.hAPP @t2533 (tptp.hAPP @t2532 @t2512))))) % 47.01/47.29 (assume @p1606 (forall (@list @t184 @t2 @t71 @t15) (=> @t2531 (tptp.c_Fun_Oinj__on @t15 @t2534 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 @t2534 @t15) (tptp.c_COMBK @t71 @t184)) @t2) @t2496)))) % 47.01/47.29 (assume @p1607 (forall @t80 (=> (tptp.class_Orderings_Otop @t76) (tptp.hBOOL (tptp.hAPP @t78 @t2535))))) % 47.01/47.29 (assume @p1608 (forall @t80 (=> @t2536 (= (tptp.hAPP (tptp.hAPP @t139 @t2535) @t75) @t2535)))) % 47.01/47.29 (assume @p1609 (forall @t80 (=> @t2536 (= (tptp.hAPP @t142 @t2535) @t2535)))) % 47.01/47.29 (assume @p1610 (forall @t80 (=> @t2536 (= (tptp.hAPP (tptp.hAPP @t970 @t2535) @t75) @t75)))) % 47.01/47.29 (assume @p1611 (forall @t80 (=> @t2536 (= (tptp.hAPP @t973 @t2535) @t75)))) % 47.01/47.29 (assume @p1612 (forall @t138 (=> (tptp.class_Lattices_Obounded__lattice__top @t15) (= (= @t999 @t2523) (and (= @t47 @t2523) (= @t128 @t2523)))))) % 47.01/47.29 (assume @p1613 (forall (@list @t71 @t15 @t47 @t2 @t294) (=> @t314 (tptp.hBOOL (tptp.hAPP @t309 @t2537))))) % 47.01/47.29 (assume @p1614 (forall (@list @t71 @t47 @t2 @t15) (tptp.hBOOL (tptp.hAPP @t2538 @t2537)))) % 47.01/47.29 (assume @p1615 (forall @t170 (= (tptp.hAPP @t530 @t2496) @t289))) % 47.01/47.29 (assume @p1616 (forall @t170 (=> @t2514 (=> (= @t1208 @t2539) (= @t51 @t2496))))) % 47.01/47.29 (assume @p1617 (forall @t418 (=> @t2531 @t896))) % 47.01/47.29 (assume @p1618 (forall @t324 (=> @t720 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t384) @t47)))) % 47.01/47.29 (assume @p1619 (forall @t324 (=> @t720 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t384) @t47)))) % 47.01/47.29 (assume @p1620 (forall @t594 (tptp.c_Fun_Oinj__on @t15 @t54 @t514 @t2496))) % 47.01/47.29 (assume @p1621 (forall @t376 (=> @t2397 (= (tptp.hBOOL (tptp.hAPP @t927 @t2541)) @t2514)))) % 47.01/47.29 (assume @p1622 (forall (@list @t2 @t184 @t1 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t927 (tptp.hAPP @t1421 @t2512))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t184) (tptp.hAPP (tptp.c_Set_Oimage @t71 @t184 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t184 @t71) @t2) @t1)) @t2512)))))) % 47.01/47.29 (assume @p1623 (forall @t708 (=> @t2531 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t15 @t71 @t2496 @t2) @t69) @t47)))) % 47.01/47.29 (assume @p1624 (forall @t2515 (=> @t2527 (=> (not (= (tptp.hAPP @t1364 @t2512) @t904)) @t2514)))) % 47.01/47.29 (assume @p1625 (forall @t594 (=> @t1864 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t15 @t1832 @t2495)))) % 47.01/47.29 (assume @p1626 (= (tptp.hAPP @t2347 @t520) @t2495)) % 47.01/47.29 (assume @p1627 (forall (@list @t294 @t2 @t71 @t15) (=> @t2531 (= (tptp.hBOOL (tptp.hAPP @t404 @t2544)) (exists @t7 (and @t536 (forall @t2461 (=> (= @t294 @t2543) @t2542)))))))) % 47.01/47.29 (assume @p1628 (forall @t801 (=> @t2531 (= (tptp.hBOOL (tptp.hAPP @t799 @t222)) @t293)))) % 47.01/47.29 (assume @p1629 (forall @t433 (=> @t2514 (=> @t2546 @t2545)))) % 47.01/47.29 (assume @p1630 (forall @t433 (=> @t2514 (=> @t2545 @t2546)))) % 47.01/47.29 (assume @p1631 (forall @t418 (=> @t2531 (= @t225 @t66)))) % 47.01/47.29 (assume @p1632 (forall @t418 (=> @t2531 @t1066))) % 47.01/47.29 (assume @p1633 (forall @t418 (=> @t2531 @t913))) % 47.01/47.29 (assume @p1634 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (tptp.hBOOL (tptp.hAPP @t131 @t2547))))))) % 47.01/47.29 (assume @p1635 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2548) @t47))))))) % 47.01/47.29 (assume @p1636 (forall @t170 (=> @t720 (=> @t928 (=> @t329 @t2549))))) % 47.01/47.29 (assume @p1637 (forall @t170 (=> @t720 (=> @t928 (=> @t329 @t2550))))) % 47.01/47.29 (assume @p1638 (forall (@list @t469 @t2371 @t260 @t15) (= (tptp.hAPP @t2494 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t54 tptp.tc_Nat_Onat) @t2371) @t1395)) (tptp.hAPP (tptp.hAPP @t2493 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t469 @t1452)) @t2371)))) % 47.01/47.29 (assume @p1639 (forall @t594 (=> @t2514 (tptp.hBOOL (tptp.hAPP @t822 @t2539))))) % 47.01/47.29 (assume @p1640 (forall @t2553 (=> @t720 (=> @t2552 (=> @t2551 (=> @t1188 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t2371)) @t2492)))))))) % 47.01/47.29 (assume @p1641 (forall @t2553 (=> @t720 (=> @t2552 (=> @t2551 (=> @t1188 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2489) (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t2371))))))))) % 47.01/47.29 (assume @p1642 (forall @t2555 (=> @t293 (=> @t2554 (tptp.hBOOL (tptp.hAPP @t404 @t2499)))))) % 47.01/47.29 (assume @p1643 (forall @t408 (= @t87 (tptp.hAPP @t2557 (tptp.hAPP (tptp.hAPP @t2466 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t776 @t71) @t297) @t2)) @t289))))) % 47.01/47.29 (assume @p1644 (forall @t1515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t243) @t51) @t2559)) (tptp.hAPP @t521 @t2558))))) % 47.01/47.29 (assume @p1645 (forall @t2561 (= (tptp.hAPP (tptp.hAPP @t2556 @t2560) @t48) (tptp.hAPP (tptp.hAPP @t55 @t2501) @t2558)))) % 47.01/47.29 (assume @p1646 (forall @t2568 (and (=> @t2566 (= @t2565 @t377)) (=> @t2567 (= @t2565 @t2564))))) % 47.01/47.29 (assume @p1647 (forall @t2568 (and (=> @t2566 (= @t2571 @t377)) (=> @t2567 (= @t2571 @t2569))))) % 47.01/47.29 (assume @p1648 (= (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))) @t1449)) % 47.01/47.29 (assume @p1649 (not (tptp.hBOOL (tptp.hAPP @t2029 (tptp.c_Orderings_Otop__class_Otop @t2078))))) % 47.01/47.29 (assume @p1650 (forall (@list @t35 @t48 @t51 @t71 @t15) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 @t2558)) @t172)) (forall @t7 (=> @t402 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 @t2519)) (tptp.hBOOL (tptp.hAPP @t35 @t422))))))))) % 47.01/47.29 (assume @p1651 (forall @t2577 (=> @t703 (= (tptp.hAPP @t2573 (tptp.hAPP (tptp.hAPP @t2576 @t2575) @t2)) (tptp.hAPP @t2575 (tptp.hAPP (tptp.hAPP @t2574 @t2573) @t825)))))) % 47.01/47.29 (assume @p1652 (forall @t2584 (= (tptp.hAPP @t2557 (tptp.hAPP (tptp.hAPP @t2583 (tptp.hAPP (tptp.hAPP @t2582 @t2580) @t48)) @t161)) (tptp.hAPP (tptp.hAPP @t2580 @t2579) @t161)))) % 47.01/47.29 (assume @p1653 (forall @t2590 (= (tptp.hAPP (tptp.hAPP @t2556 @t2589) @t161) (tptp.hAPP @t2588 (tptp.hAPP (tptp.hAPP @t2587 (tptp.hAPP (tptp.hAPP @t2586 @t2556) @t48)) @t161))))) % 47.01/47.29 (assume @p1654 (forall (@list @t1486 @t2371 @t51 @t71 @t15) (=> @t703 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2573 @t2371)) @t1486)) (forall @t7 (=> @t402 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2591) @t1486)))))))) % 47.01/47.29 (assume @p1655 (forall (@list @t2 @t51 @t71 @t290 @t15) (=> @t2592 (= (tptp.hBOOL (tptp.hAPP @t761 (tptp.hAPP @t2573 @t2))) (exists @t7 (and @t402 (tptp.hBOOL (tptp.hAPP @t761 @t5)))))))) % 47.01/47.29 (assume @p1656 (forall @t2594 (= (tptp.hBOOL (tptp.hAPP @t309 @t2558)) (exists @t7 (and @t402 @t2593))))) % 47.01/47.29 (assume @p1657 (forall @t2599 (=> @t2598 (=> @t329 (= (tptp.hAPP @t2597 @t2595) @t2371))))) % 47.01/47.29 (assume @p1658 (forall @t2601 (= (= @t2558 @t289) @t2600))) % 47.01/47.29 (assume @p1659 (forall @t395 (and (=> @t327 (= @t2604 @t377)) (=> @t329 (= @t2604 @t281))))) % 47.01/47.29 (assume @p1660 (forall (@list @t51 @t15 @t71) (= (tptp.hAPP @t2557 (tptp.hAPP @t2605 @t289)) @t289))) % 47.01/47.29 (assume @p1661 (forall @t1515 (= (= @t289 @t2558) @t2600))) % 47.01/47.29 (assume @p1662 (forall @t2611 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2610) @t48)) (forall @t7 (=> @t2608 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2606) @t48))))))) % 47.01/47.29 (assume @p1663 (forall @t2615 (= (tptp.hAPP @t2557 @t2614) (tptp.hAPP @t2613 @t48)))) % 47.01/47.29 (assume @p1664 (forall (@list @t48 @t51 @t184 @t2 @t15 @t71) (= (tptp.hAPP @t85 @t2589) (tptp.hAPP @t2588 (tptp.hAPP (tptp.hAPP @t2616 @t85) @t48))))) % 47.01/47.29 (assume @p1665 (forall @t2619 (= (tptp.hAPP (tptp.hAPP @t2556 @t2618) @t48) (tptp.hAPP @t2588 @t2617)))) % 47.01/47.29 (assume @p1666 (forall @t2624 (= (tptp.hAPP @t2609 @t2623) (tptp.hAPP (tptp.hAPP @t55 @t2610) (tptp.hAPP @t2609 @t48))))) % 47.01/47.29 (assume @p1667 (forall @t2626 (= (tptp.hAPP (tptp.hAPP @t2556 @t91) @t2371) (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t2557 @t2371)) (tptp.hAPP @t2625 @t2371))))) % 47.01/47.29 (assume @p1668 (forall @t2630 (= @t2629 @t2628))) % 47.01/47.29 (assume @p1669 (forall @t2630 (= @t2634 @t2632))) % 47.01/47.29 (assume @p1670 (forall @t2635 (= @t2628 @t2629))) % 47.01/47.29 (assume @p1671 (forall @t2636 (= (tptp.hAPP @t976 @t2610) (tptp.hAPP @t2609 (tptp.hAPP (tptp.hAPP @t2415 @t976) @t51))))) % 47.01/47.29 (assume @p1672 (forall @t2637 (= @t2632 @t2634))) % 47.01/47.29 (assume @p1673 (forall @t2643 (= (tptp.hAPP (tptp.hAPP @t962 @t2610) (tptp.hAPP @t2641 @t48)) (tptp.hAPP @t2609 (tptp.hAPP (tptp.hAPP @t2642 @t2641) (tptp.hAPP (tptp.hAPP @t2639 (tptp.hAPP @t2638 @t2633)) @t48)))))) % 47.01/47.29 (assume @p1674 (forall @t2645 (=> @t703 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t829) @t51) @t2) @t47) (tptp.hAPP @t2573 @t2644))))) % 47.01/47.29 (assume @p1675 (forall @t2630 (= @t2647 @t2646))) % 47.01/47.29 (assume @p1676 (forall @t2637 (= @t2646 @t2647))) % 47.01/47.29 (assume @p1677 (forall @t945 (=> @t2598 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t2648) (tptp.hAPP (tptp.hAPP @t2596 @t48) @t2))))))) % 47.01/47.29 (assume @p1678 (forall @t2651 (=> @t2598 (=> @t2650 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t2649) (tptp.hAPP @t2597 @t2371))))))) % 47.01/47.29 (assume @p1679 (forall @t2654 (=> @t2653 (= (tptp.hAPP @t2498 @t2652) (tptp.hAPP @t398 @t2499))))) % 47.01/47.29 (assume @p1680 (forall @t2655 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t2501) @t2499))))) % 47.01/47.29 (assume @p1681 (forall @t2659 (=> @t2658 (= (tptp.hAPP (tptp.hAPP @t89 @t2657) @t2656) @t2656)))) % 47.01/47.29 (assume @p1682 (forall @t2662 (and (=> @t2566 (= @t2661 @t377)) (=> @t2567 (= @t2661 @t2660))))) % 47.01/47.29 (assume @p1683 (forall @t170 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t54) @t51) @t514) @t51))) % 47.01/47.29 (assume @p1684 (forall @t2662 (and (=> @t2566 (= @t2660 @t2663)) (=> @t2567 (= @t2660 @t2661))))) % 47.01/47.29 (assume @p1685 (forall @t2568 (and (=> @t2566 (= @t2569 @t48)) (=> @t2567 (= @t2569 @t2571))))) % 47.01/47.29 (assume @p1686 (forall @t2568 (and (=> @t2566 (= @t2564 @t51)) (=> @t2567 (= @t2564 @t2565))))) % 47.01/47.29 (assume @p1687 (forall @t2669 (=> (forall @t432 (tptp.hBOOL (tptp.hAPP @t2668 @t2666))) (tptp.hBOOL (tptp.hAPP @t2665 @t2664))))) % 47.01/47.29 (assume @p1688 (forall @t2669 (=> (forall @t432 (= @t2667 @t2666)) (= @t2529 @t2664)))) % 47.01/47.29 (assume @p1689 (forall @t2670 (=> (forall @t432 (tptp.hBOOL (tptp.hAPP @t2668 @t161))) (tptp.hBOOL (tptp.hAPP @t2665 @t161))))) % 47.01/47.29 (assume @p1690 (forall @t2673 (=> @t2531 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2672) (tptp.hAPP (tptp.hAPP @t297 (tptp.c_HOL_OThe @t15 (tptp.hAPP @t806 @t290))) @t289)))))) % 47.01/47.29 (assume @p1691 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (and (=> @t1100 @t2677) (=> @t1101 (= @t2548 @t2676)))))))) % 47.01/47.29 (assume @p1692 (forall (@list @t184 @t71 @t281 @t294 @t48 @t51 @t290 @t15) (=> @t293 (=> @t2681 @t2680)))) % 47.01/47.29 (assume @p1693 (forall (@list @t71 @t48 @t15 @t294 @t290 @t2) (=> @t2685 (=> (tptp.hBOOL (tptp.hAPP @t309 @t48)) (tptp.hBOOL (tptp.hAPP @t2684 @t2683)))))) % 47.01/47.29 (assume @p1694 (forall @t159 (=> @t99 (= (tptp.hAPP @t2687 @t112) @t112)))) % 47.01/47.29 (assume @p1695 (forall @t155 (=> @t99 (= @t2689 (tptp.hAPP @t2688 @t112))))) % 47.01/47.29 (assume @p1696 (forall @t100 (=> @t99 (= @t2693 @t2691)))) % 47.01/47.29 (assume @p1697 (forall @t155 (=> @t99 (= (tptp.hAPP @t2687 @t2689) @t2689)))) % 47.01/47.29 (assume @p1698 (forall @t100 (=> @t99 (= (tptp.hAPP @t2692 @t2693) @t2693)))) % 47.01/47.29 (assume @p1699 (forall @t120 (=> @t99 (= (tptp.hAPP @t2688 (tptp.hAPP @t2687 @t113)) @t2694)))) % 47.01/47.29 (assume @p1700 (forall @t111 (=> @t99 (= @t2697 (tptp.hAPP @t2690 @t2695))))) % 47.01/47.29 (assume @p1701 (forall @t125 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2686 @t2689) @t113) @t2694)))) % 47.01/47.29 (assume @p1702 (forall @t111 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2686 @t2693) @t101) @t2697)))) % 47.01/47.29 (assume @p1703 (forall @t839 (= (tptp.hBOOL (tptp.hAPP @t2698 @t47)) (tptp.hBOOL (tptp.hAPP @t51 @t69))))) % 47.01/47.29 (assume @p1704 (forall @t80 (=> @t99 (= (tptp.hAPP @t2692 @t75) @t75)))) % 47.01/47.29 (assume @p1705 (forall @t238 (= (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t15 @t237) @t236) @t236))) % 47.01/47.29 (assume @p1706 (forall @t100 (=> @t99 (tptp.hBOOL (tptp.hAPP @t2699 @t75))))) % 47.01/47.29 (assume @p1707 (forall @t100 (=> @t99 (tptp.hBOOL (tptp.hAPP @t2699 @t95))))) % 47.01/47.29 (assume @p1708 (forall @t138 (=> @t720 (= @t132 (= @t2700 @t47))))) % 47.01/47.29 (assume @p1709 (forall @t209 (=> @t720 (= (tptp.hBOOL (tptp.hAPP @t131 (tptp.hAPP (tptp.hAPP @t2674 @t128) @t202))) @t1001)))) % 47.01/47.29 (assume @p1710 (forall @t209 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2700) @t202)) (or @t204 @t203))))) % 47.01/47.29 (assume @p1711 (forall @t196 (=> @t99 (=> @t188 @t2702)))) % 47.01/47.29 (assume @p1712 (forall @t1004 (=> @t99 (=> @t187 @t2702)))) % 47.01/47.29 (assume @p1713 (forall @t100 (=> @t99 (=> @t98 (= @t2693 @t75))))) % 47.01/47.29 (assume @p1714 (forall @t108 (=> @t99 (=> @t97 (= @t2693 @t95))))) % 47.01/47.29 (assume @p1715 (forall @t201 (=> @t99 (=> @t200 (=> @t198 @t2703))))) % 47.01/47.29 (assume @p1716 (forall @t111 (=> @t99 (=> @t98 (=> @t109 (tptp.hBOOL (tptp.hAPP @t78 @t2696))))))) % 47.01/47.29 (assume @p1717 (forall @t195 (=> @t99 (=> @t122 (=> @t194 (tptp.hBOOL (tptp.hAPP @t2701 (tptp.hAPP (tptp.hAPP @t2686 @t113) @t193)))))))) % 47.01/47.29 (assume @p1718 (forall @t201 (=> @t99 (=> @t2703 @t1006)))) % 47.01/47.29 (assume @p1719 (forall @t2707 (=> @t720 (= (tptp.hBOOL (tptp.hAPP @t2704 @t2700)) (and @t2706 @t2705))))) % 47.01/47.29 (assume @p1720 (forall @t209 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t2700) @t202)) (or @t2709 @t2708))))) % 47.01/47.29 (assume @p1721 (forall @t196 (=> @t99 (=> @t1008 @t2710)))) % 47.01/47.29 (assume @p1722 (forall @t1004 (=> @t99 (=> @t1009 @t2710)))) % 47.01/47.29 (assume @p1723 (forall @t111 (=> @t1243 (= (tptp.hAPP (tptp.hAPP @t1213 @t2693) @t101) (tptp.hAPP (tptp.hAPP @t2686 @t2712) @t1608))))) % 47.01/47.29 (assume @p1724 (forall @t111 (=> @t2716 (= (tptp.hAPP (tptp.hAPP @t637 @t2693) @t101) (tptp.hAPP (tptp.hAPP @t2686 @t2715) @t2713))))) % 47.01/47.29 (assume @p1725 (forall (@list @t48 @t2 @t71 @t290 @t15) (= (tptp.hBOOL (tptp.hAPP @t291 @t2717)) (tptp.hBOOL (tptp.hAPP @t799 @t48))))) % 47.01/47.29 (assume @p1726 (forall (@list @t51 @t2 @t71 @t290 @t15) (=> (tptp.hBOOL (tptp.hAPP @t291 @t2698)) (tptp.hBOOL (tptp.hAPP @t799 @t51))))) % 47.01/47.29 (assume @p1727 (forall (@list @t71 @t51 @t290 @t2 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t397) @t51)) (tptp.hBOOL (tptp.hAPP @t2684 @t2718))))) % 47.01/47.29 (assume @p1728 (forall @t594 (=> (and @t1000 @t720) (= @t975 @t2674)))) % 47.01/47.29 (assume @p1729 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t2719 @t520) @t369) @t520))) % 47.01/47.29 (assume @p1730 (forall @t483 (= (tptp.hAPP @t2720 @t520) @t520))) % 47.01/47.29 (assume @p1731 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t2719 @t492) @t370) (tptp.hAPP tptp.c_Nat_OSuc @t2721)))) % 47.01/47.29 (assume @p1732 (forall @t823 (= (tptp.hAPP @t2671 @t377) @t289))) % 47.01/47.29 (assume @p1733 (forall (@list @t369 @t559 @t488) (= (tptp.hAPP (tptp.hAPP @t2719 (tptp.hAPP @t646 @t559)) @t664) (tptp.hAPP (tptp.hAPP @t643 @t2721) @t559)))) % 47.01/47.29 (assume @p1734 (forall @t226 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t2718) @t2683))))) % 47.01/47.29 (assume @p1735 (forall @t823 (= (tptp.hAPP @t2671 @t2512) @t2496))) % 47.01/47.29 (assume @p1736 (forall @t418 (= (tptp.hAPP @t2671 @t91) (tptp.hAPP (tptp.hAPP @t55 @t2698) @t2717)))) % 47.01/47.29 (assume @p1737 (forall @t418 (= (tptp.hAPP @t2671 @t1055) (tptp.hAPP (tptp.hAPP @t962 @t2698) @t2717)))) % 47.01/47.29 (assume @p1738 (forall @t418 (= (tptp.hAPP @t2671 @t618) (tptp.hAPP (tptp.hAPP @t529 @t2698) @t2717)))) % 47.01/47.29 (assume @p1739 (forall @t2724 (=> @t2723 (=> @t268 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t71) @t1553) @t1981) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2674 @t496) @t260))))))) % 47.01/47.29 (assume @p1740 (forall @t594 (=> @t720 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t15 @t2674)))) % 47.01/47.29 (assume @p1741 (forall @t2725 (= (tptp.hAPP @t2671 @t2432) (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t2464 @t35) @t2))))) % 47.01/47.29 (assume @p1742 (forall @t2727 (= (tptp.hAPP @t2671 @t2589) (tptp.hAPP @t2588 @t2726)))) % 47.01/47.29 (assume @p1743 (forall @t406 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2728) @t51)))) % 47.01/47.29 (assume @p1744 (forall @t408 (=> @t2729 (= @t2728 @t51)))) % 47.01/47.29 (assume @p1745 (forall @t2730 (= @t2717 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t88 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 (tptp.tc_fun @t88 tptp.tc_HOL_Obool) @t15) @t311) @t2)) @t48))))) % 47.01/47.29 (assume @p1746 (forall (@list @t294 @t2 @t71 @t290 @t15) (= (tptp.hBOOL (tptp.hAPP @t291 (tptp.hAPP @t2671 (tptp.hAPP @t2731 @t377)))) @t2685))) % 47.01/47.29 (assume @p1747 (forall (@list @t48 @t290 @t2 @t71 @t15) (= (tptp.hAPP @t2671 @t399) (tptp.hAPP (tptp.hAPP @t55 @t2672) @t2717)))) % 47.01/47.29 (assume @p1748 (forall @t2734 (=> @t2733 (=> (= (tptp.hAPP @t1081 @t2496) @t2512) @t2732)))) % 47.01/47.29 (assume @p1749 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (= @t2735 @t2548)))))) % 47.01/47.29 (assume @p1750 (forall @t92 (=> (and @t1053 @t720) (=> @t268 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2674 @t51) @t48))) @t1051)))))) % 47.01/47.29 (assume @p1751 (forall (@list @t51 @t48 @t2 @t15 @t71) (=> @t2729 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t2683) @t51)) @t228)))) % 47.01/47.29 (assume @p1752 (forall @t408 (= @t2728 (tptp.hAPP @t963 @t2537)))) % 47.01/47.29 (assume @p1753 (forall @t1083 (=> @t1064 (=> (tptp.c_Fun_Oinj__on @t71 @t15 @t899 @t2512) (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP (tptp.c_Set_Ovimage @t71 @t15 @t899) @t1062))))))) % 47.01/47.29 (assume @p1754 (forall @t406 (=> @t2531 (= (tptp.hAPP @t2671 @t222) @t51)))) % 47.01/47.29 (assume @p1755 (forall (@list @t345 @t281 @t294 @t15) (=> @t720 (= (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP @t2285 @t294)) @t1752) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t281 @t2737))))) % 47.01/47.29 (assume @p1756 (forall (@list @t345 @t294 @t290 @t15) (=> @t720 (= (tptp.hAPP @t2738 (tptp.hAPP @t2285 @t345)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t290 @t2737))))) % 47.01/47.29 (assume @p1757 (forall @t170 (=> @t720 (=> @t928 (= @t2548 @t2740))))) % 47.01/47.29 (assume @p1758 (forall (@list @t71 @t51 @t281 @t15) (and (=> @t284 (= @t2742 @t2512)) (=> @t285 (= @t2742 @t377))))) % 47.01/47.29 (assume @p1759 (forall @t2730 (= @t2717 (tptp.hAPP @t2625 (tptp.hAPP (tptp.hAPP @t2744 @t2671) @t2743))))) % 47.01/47.29 (assume @p1760 (forall @t505 (= (tptp.hAPP (tptp.hAPP @t2719 @t496) @t261) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t520 (tptp.hAPP @t2745 (tptp.hAPP (tptp.hAPP @t1393 @t2719) @t260)) @t496)))) % 47.01/47.29 (assume @p1761 (forall @t501 (= (tptp.hAPP @t2747 @t496) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t520 (tptp.hAPP @t2745 @t2746) @t496)))) % 47.01/47.29 (assume @p1762 (forall @t1085 (=> @t720 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP @t2748 @t290))))))) % 47.01/47.29 (assume @p1763 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hBOOL (tptp.hAPP @t131 @t2740)) @t2367)))))) % 47.01/47.29 (assume @p1764 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hBOOL (tptp.hAPP @t2748 @t47)) (exists @t7 (and @t176 (tptp.hBOOL (tptp.hAPP @t423 @t47)))))))))) % 47.01/47.29 (assume @p1765 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hBOOL (tptp.hAPP @t717 @t2740)) (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t717 @t3)))))))))) % 47.01/47.29 (assume @p1766 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t2740) @t47)) (exists @t7 (and @t176 (tptp.hBOOL (tptp.hAPP @t2749 @t47)))))))))) % 47.01/47.29 (assume @p1767 (forall @t385 (=> @t720 (=> @t928 @t2751)))) % 47.01/47.29 (assume @p1768 (forall @t67 (=> @t720 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t2674 @t2752) @t2548) @t2548))))))) % 47.01/47.29 (assume @p1769 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t2755))))))) % 47.01/47.29 (assume @p1770 (forall @t849 (=> @t2531 (=> @t1096 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2717) @t51)))))) % 47.01/47.29 (assume @p1771 (forall @t385 (=> @t720 (=> @t928 (=> @t357 @t2751))))) % 47.01/47.29 (assume @p1772 (forall @t67 (=> @t720 (=> @t329 (=> @t66 (=> @t943 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2739 @t48)) @t2740)))))))) % 47.01/47.29 (assume @p1773 (forall @t385 (=> @t720 (=> @t928 (and (=> @t1100 (= @t2750 @t47)) (=> @t1101 (= @t2750 @t2676))))))) % 47.01/47.29 (assume @p1774 (forall @t67 (=> @t720 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t2674 @t2754) (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t964)) @t2753))))))) % 47.01/47.29 (assume @p1775 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t2755)))))))) % 47.01/47.29 (assume @p1776 (forall @t594 (=> @t720 (= (tptp.c_Orderings_Oord_Omax @t15 @t2756) @t2674)))) % 47.01/47.29 (assume @p1777 (forall @t594 (=> @t1968 (= @t2674 (tptp.c_Orderings_Oord_Omin @t15 @t130))))) % 47.01/47.29 (assume @p1778 (forall @t170 (=> @t720 (=> @t928 (=> @t329 (=> @t2758 @t2549)))))) % 47.01/47.29 (assume @p1779 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (and (=> @t1100 (= @t2760 @t47)) (=> @t1101 (= @t2760 @t2759)))))))) % 47.01/47.29 (assume @p1780 (forall @t1191 (=> @t720 (=> @t2761 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 @t2489) (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t1186)))))))) % 47.01/47.29 (assume @p1781 (forall @t2763 (= @t2680 (exists @t7 (and @t176 @t2762))))) % 47.01/47.29 (assume @p1782 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2719)) % 47.01/47.29 (assume @p1783 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (= @t2764 @t2760)))))) % 47.01/47.29 (assume @p1784 (forall @t324 (=> @t720 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t384) @t47)))) % 47.01/47.29 (assume @p1785 (forall @t170 (=> @t720 (=> @t928 (= @t2760 @t2740))))) % 47.01/47.29 (assume @p1786 (forall @t385 (=> @t720 (=> @t928 @t2766)))) % 47.01/47.29 (assume @p1787 (forall @t67 (=> @t720 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t2674 @t2767) @t2760) @t2760))))))) % 47.01/47.29 (assume @p1788 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t2770))))))) % 47.01/47.29 (assume @p1789 (forall @t385 (=> @t720 (=> @t928 (=> @t357 @t2766))))) % 47.01/47.29 (assume @p1790 (forall @t385 (=> @t720 (=> @t928 (and (=> @t1100 (= @t2765 @t47)) (=> @t1101 (= @t2765 @t2759))))))) % 47.01/47.29 (assume @p1791 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t2770)))))))) % 47.01/47.29 (assume @p1792 (forall @t67 (=> @t720 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t2674 @t2769) (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t964)) @t2768))))))) % 47.01/47.29 (assume @p1793 (forall @t170 (=> @t720 (=> @t928 (=> @t329 (=> @t2758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2760) @t51)))))))) % 47.01/47.29 (assume @p1794 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (= (tptp.hAPP (tptp.hAPP @t2771 @t2760) @t2767) (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP @t2486 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 (tptp.hAPP @t2483 (tptp.hAPP @t2481 (tptp.hAPP @t2479 @t2771))))) @t2477))))))))))))) % 47.01/47.29 (assume @p1795 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hAPP @t2772 @t2760) (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2451 (tptp.hAPP @t2450 (tptp.hAPP @t2448 @t2772)))) @t622)))))))))) % 47.01/47.29 (assume @p1796 (forall @t1191 (=> @t720 (=> @t2761 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t846)) (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t1186)))))))) % 47.01/47.29 (assume @p1797 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (and (=> @t1100 @t2774) (=> @t1101 (= @t2547 @t2773)))))))) % 47.01/47.29 (assume @p1798 (forall @t111 (=> @t1243 (= (tptp.hAPP (tptp.hAPP @t1213 @t2777) @t101) (tptp.hAPP (tptp.hAPP @t2775 @t2712) @t1608))))) % 47.01/47.29 (assume @p1799 (forall @t111 (=> @t2716 (= (tptp.hAPP (tptp.hAPP @t637 @t2777) @t101) (tptp.hAPP (tptp.hAPP @t2775 @t2715) @t2713))))) % 47.01/47.29 (assume @p1800 (forall @t594 (=> (and @t208 @t720) (= @t70 @t2771)))) % 47.01/47.29 (assume @p1801 (forall @t483 (= (tptp.hAPP @t2779 @t520) @t369))) % 47.01/47.29 (assume @p1802 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t2778 @t520) @t369) @t369))) % 47.01/47.29 (assume @p1803 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t2778 @t492) @t370) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2778 @t488) @t369))))) % 47.01/47.29 (assume @p1804 (forall @t159 (=> @t99 (= (tptp.hAPP @t2780 @t112) @t112)))) % 47.01/47.29 (assume @p1805 (forall @t155 (=> @t99 (= @t2782 (tptp.hAPP @t2781 @t112))))) % 47.01/47.29 (assume @p1806 (forall @t100 (=> @t99 (= @t2777 @t2784)))) % 47.01/47.29 (assume @p1807 (forall @t155 (=> @t99 (= (tptp.hAPP @t2780 @t2782) @t2782)))) % 47.01/47.29 (assume @p1808 (forall @t100 (=> @t99 (= (tptp.hAPP @t2776 @t2777) @t2777)))) % 47.01/47.29 (assume @p1809 (forall @t120 (=> @t99 (= (tptp.hAPP @t2781 (tptp.hAPP @t2780 @t113)) @t2785)))) % 47.01/47.29 (assume @p1810 (forall @t111 (=> @t99 (= @t2788 (tptp.hAPP @t2783 @t2786))))) % 47.01/47.29 (assume @p1811 (forall @t125 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2775 @t2782) @t113) @t2785)))) % 47.01/47.29 (assume @p1812 (forall @t111 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2775 @t2777) @t101) @t2788)))) % 47.01/47.29 (assume @p1813 (forall @t80 (=> @t99 (= (tptp.hAPP @t2776 @t75) @t75)))) % 47.01/47.29 (assume @p1814 (forall @t199 (=> @t99 (=> @t765 @t2789)))) % 47.01/47.29 (assume @p1815 (forall @t201 (=> @t99 (=> @t764 @t2789)))) % 47.01/47.29 (assume @p1816 (forall @t209 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t2790) @t202)) (and @t2709 @t2708))))) % 47.01/47.29 (assume @p1817 (forall @t2707 (=> @t720 (= (tptp.hBOOL (tptp.hAPP @t2704 @t2790)) (or @t2706 @t2705))))) % 47.01/47.29 (assume @p1818 (forall @t192 (=> @t99 (=> @t2792 @t189)))) % 47.01/47.29 (assume @p1819 (forall @t195 (=> @t99 (=> @t122 (=> @t194 (tptp.hBOOL (tptp.hAPP @t2791 (tptp.hAPP (tptp.hAPP @t2775 @t113) @t193)))))))) % 47.01/47.29 (assume @p1820 (forall @t106 (=> @t99 (=> @t97 (=> @t103 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2787) @t75))))))) % 47.01/47.29 (assume @p1821 (forall @t196 (=> @t99 (=> @t188 (=> @t187 @t2792))))) % 47.01/47.29 (assume @p1822 (forall @t108 (=> @t99 (=> @t97 (= @t2777 @t75))))) % 47.01/47.29 (assume @p1823 (forall @t100 (=> @t99 (=> @t98 (= @t2777 @t95))))) % 47.01/47.29 (assume @p1824 (forall @t199 (=> @t99 (=> @t198 @t2793)))) % 47.01/47.29 (assume @p1825 (forall @t201 (=> @t99 (=> @t200 @t2793)))) % 47.01/47.29 (assume @p1826 (forall @t209 (=> @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2790) @t202)) @t205)))) % 47.01/47.29 (assume @p1827 (forall @t2707 (=> @t720 (= (tptp.hBOOL (tptp.hAPP @t2794 @t2790)) (or (tptp.hBOOL (tptp.hAPP @t2794 @t47)) (tptp.hBOOL (tptp.hAPP @t2794 @t128))))))) % 47.01/47.29 (assume @p1828 (forall @t138 (=> @t720 (= @t132 (= @t2790 @t128))))) % 47.01/47.29 (assume @p1829 (forall @t108 (=> @t99 (tptp.hBOOL (tptp.hAPP @t96 @t2777))))) % 47.01/47.29 (assume @p1830 (forall @t100 (=> @t99 (tptp.hBOOL (tptp.hAPP @t78 @t2777))))) % 47.01/47.29 (assume @p1831 (forall @t100 (=> @t99 (= (tptp.hAPP @t2776 @t2693) @t75)))) % 47.01/47.29 (assume @p1832 (forall @t100 (=> @t99 (= (tptp.hAPP @t2692 @t2777) @t75)))) % 47.01/47.29 (assume @p1833 (forall @t111 (=> @t99 (= @t2796 @t2795)))) % 47.01/47.29 (assume @p1834 (forall @t111 (=> @t99 (= @t2798 @t2797)))) % 47.01/47.29 (assume @p1835 (forall @t1015 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2775 @t2696) @t75) (tptp.hAPP (tptp.hAPP @t2686 @t2784) (tptp.hAPP (tptp.hAPP @t2775 @t101) @t75)))))) % 47.01/47.29 (assume @p1836 (forall @t1015 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t2686 @t2787) @t75) (tptp.hAPP (tptp.hAPP @t2775 @t2691) (tptp.hAPP (tptp.hAPP @t2686 @t101) @t75)))))) % 47.01/47.29 (assume @p1837 (forall @t2724 (=> @t2723 (=> @t268 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t71) @t1553) @t1981) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2771 @t496) @t260))))))) % 47.01/47.29 (assume @p1838 (forall @t594 (=> @t720 (tptp.c_Finite__Set_Ofun__left__comm__idem @t15 @t15 @t2771)))) % 47.01/47.29 (assume @p1839 (forall @t111 (=> @t99 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2796) @t2795))))) % 47.01/47.29 (assume @p1840 (forall @t111 (=> @t99 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2797) @t2798))))) % 47.01/47.29 (assume @p1841 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t1274 @t645) @t488) (tptp.hAPP @t2779 @t488)))) % 47.01/47.29 (assume @p1842 (forall @t501 (= (tptp.hAPP @t2800 @t496) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t261 (tptp.hAPP @t2745 @t2799) @t496)))) % 47.01/47.29 (assume @p1843 (forall @t505 (= (tptp.hAPP (tptp.hAPP @t2778 @t496) @t261) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t261 (tptp.hAPP @t2745 (tptp.hAPP (tptp.hAPP @t1393 @t2778) @t260)) @t496)))) % 47.01/47.29 (assume @p1844 (forall @t594 (=> @t1968 (= @t2771 (tptp.c_Orderings_Oord_Omax @t15 @t130))))) % 47.01/47.29 (assume @p1845 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (= @t2801 @t2547)))))) % 47.01/47.29 (assume @p1846 (forall @t92 (=> (and @t269 @t720) (=> @t268 (tptp.hBOOL (tptp.hAPP @t267 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t2771 @t51) @t48)))))))) % 47.01/47.29 (assume @p1847 (forall @t352 (=> @t720 (= (tptp.hAPP @t2738 @t1752) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t2803 @t2737))))) % 47.01/47.29 (assume @p1848 (forall @t352 (=> @t720 (= (tptp.hAPP (tptp.hAPP @t962 @t1900) @t1899) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t2803) @t2737))))) % 47.01/47.29 (assume @p1849 (forall @t352 (=> @t720 (= (tptp.hAPP (tptp.hAPP @t962 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t290 @t294)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t281 @t345)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t2803 @t2737))))) % 47.01/47.29 (assume @p1850 (forall @t352 (=> @t720 (= (tptp.hAPP (tptp.hAPP @t962 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t290 @t294)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t281 @t345)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t2803 @t2737))))) % 47.01/47.29 (assume @p1851 (forall (@list @t345 @t281 @t290 @t15) (=> @t720 (= (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP @t2327 @t290)) @t1752) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t2803 @t345))))) % 47.01/47.29 (assume @p1852 (forall @t1232 (=> @t720 (= (tptp.hAPP @t2738 (tptp.hAPP @t2327 @t281)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t2803 @t294))))) % 47.01/47.29 (assume @p1853 (forall @t170 (=> @t720 (=> @t928 (= @t2547 @t2804))))) % 47.01/47.29 (assume @p1854 (forall @t594 (=> @t720 (= (tptp.c_Orderings_Oord_Omin @t15 @t2756) @t2771)))) % 47.01/47.29 (assume @p1855 (forall @t385 (=> @t720 (=> @t928 @t2806)))) % 47.01/47.29 (assume @p1856 (forall @t67 (=> @t720 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t2771 @t2807) @t2547) @t2547))))))) % 47.01/47.29 (assume @p1857 (forall @t1085 (=> @t720 (=> @t928 (=> @t293 (= (tptp.hAPP @t2802 @t2760) @t290)))))) % 47.01/47.29 (assume @p1858 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t2810))))))) % 47.01/47.29 (assume @p1859 (forall @t385 (=> @t720 (=> @t928 (=> @t357 @t2806))))) % 47.01/47.29 (assume @p1860 (forall @t385 (=> @t720 (=> @t928 (and (=> @t1100 (= @t2805 @t47)) (=> @t1101 (= @t2805 @t2773))))))) % 47.01/47.29 (assume @p1861 (forall @t67 (=> @t720 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t2771 @t2809) (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t964)) @t2808))))))) % 47.01/47.29 (assume @p1862 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t2810)))))))) % 47.01/47.29 (assume @p1863 (forall @t385 (=> @t720 (=> @t928 (=> @t329 (= (tptp.hAPP @t2675 @t2811) (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2451 (tptp.hAPP @t2450 (tptp.hAPP @t2448 @t2675)))) @t622)))))))))) % 47.01/47.29 (assume @p1864 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (= (tptp.hAPP (tptp.hAPP @t2674 @t2811) @t2812) (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 (tptp.hAPP @t2386 (tptp.hAPP @t2453 (tptp.hAPP @t2486 (tptp.hAPP (tptp.hAPP @t2485 (tptp.hAPP @t2484 (tptp.hAPP @t2483 (tptp.hAPP @t2481 (tptp.hAPP @t2479 @t2674))))) @t2477))))))))))))) % 47.01/47.29 (assume @p1865 (forall @t170 (=> @t720 (=> @t928 (=> @t329 (=> @t2814 @t2550)))))) % 47.01/47.29 (assume @p1866 (forall @t170 (=> @t720 (=> @t928 (=> @t329 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2760) @t2811))))))) % 47.01/47.29 (assume @p1867 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (and (=> @t1100 (= @t2811 @t47)) (=> @t1101 (= @t2811 @t2815)))))))) % 47.01/47.29 (assume @p1868 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2778)) % 47.01/47.29 (assume @p1869 (forall @t385 (=> @t720 (=> @t928 (=> @t331 (= @t2816 @t2811)))))) % 47.01/47.29 (assume @p1870 (forall @t324 (=> @t720 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t384) @t47)))) % 47.01/47.29 (assume @p1871 (forall @t170 (=> @t720 (=> @t928 (= @t2811 @t2804))))) % 47.01/47.29 (assume @p1872 (forall @t385 (=> @t720 (=> @t928 @t2818)))) % 47.01/47.29 (assume @p1873 (forall @t67 (=> @t720 (=> @t928 (=> @t1124 (=> @t64 (= (tptp.hAPP (tptp.hAPP @t2771 @t2812) @t2811) @t2811))))))) % 47.01/47.29 (assume @p1874 (forall @t1085 (=> @t720 (=> @t928 (=> @t293 (= (tptp.hAPP @t2819 @t2811) @t290)))))) % 47.01/47.29 (assume @p1875 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 @t2822))))))) % 47.01/47.29 (assume @p1876 (forall @t385 (=> @t720 (=> @t928 (=> @t357 @t2818))))) % 47.01/47.29 (assume @p1877 (forall @t385 (=> @t720 (=> @t928 (and (=> @t1100 (= @t2817 @t47)) (=> @t1101 (= @t2817 @t2815))))))) % 47.01/47.29 (assume @p1878 (forall @t67 (=> @t720 (=> @t928 (=> @t329 (=> @t943 (=> @t1124 (=> @t1017 @t2822)))))))) % 47.01/47.29 (assume @p1879 (forall @t67 (=> @t720 (=> @t928 (=> @t943 (=> @t1121 (= (tptp.hAPP (tptp.hAPP @t2771 @t2821) (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t964)) @t2820))))))) % 47.01/47.29 (assume @p1880 (forall @t170 (=> @t720 (=> @t928 (=> @t329 (=> @t2814 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2811) @t51)))))))) % 47.01/47.29 (assume @p1881 (forall @t1191 (=> @t720 (=> @t2823 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t846)) (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t1186)))))))) % 47.01/47.29 (assume @p1882 (forall @t1191 (=> @t720 (=> @t2823 (=> @t1188 (=> @t1187 (= (tptp.hAPP @t899 @t2492) (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t1186)))))))) % 47.01/47.29 (assume @p1883 (forall @t1433 (=> @t928 (=> @t2824 @t2525)))) % 47.01/47.29 (assume @p1884 (forall (@list @t202 @t2213) (and (=> @t2831 (= @t2830 @t2215)) (=> (not @t2831) (= @t2830 (tptp.hAPP (tptp.hAPP @t2829 (tptp.hAPP @t2043 @t2213)) @t2828)))))) % 47.01/47.29 (assume @p1885 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1870)))) % 47.01/47.29 (assume @p1886 (forall @t483 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1889))))) % 47.01/47.29 (assume @p1887 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1877)))) % 47.01/47.29 (assume @p1888 (forall @t2277 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t47))) @t2221))) % 47.01/47.29 (assume @p1889 (forall (@list @t2832) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2832)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t2832) @t1870))))) % 47.01/47.29 (assume @p1890 (forall @t2035 (=> @t2833 @t2231))) % 47.01/47.29 (assume @p1891 (forall @t2035 (=> (not @t2833) @t2240))) % 47.01/47.29 (assume @p1892 (forall (@list @t1 @t2 @t35 @t51 @t15 @t71) (=> @t954 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t920 (tptp.hAPP (tptp.hAPP @t1398 (tptp.hAPP (tptp.hAPP @t1037 (tptp.hAPP @t1036 @t35)) @t2)) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t1201 (tptp.hAPP @t921 @t2408)) (tptp.hAPP @t947 (tptp.hAPP @t963 @t2835)))))))) % 47.01/47.29 (assume @p1893 (forall @t1204 (=> @t1545 (=> @t928 (=> @t331 (= @t2840 @t2839)))))) % 47.01/47.29 (assume @p1894 (forall @t2842 (= (tptp.c_Com_Ocom_Ocom__size @t2841) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Com_Ocom_Ocom__size @t457)) (tptp.c_Com_Ocom_Ocom__size @t454))) @t904)))) % 47.01/47.29 (assume @p1895 (forall @t2842 (= (tptp.hAPP @t1531 @t2841) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t1531 @t457)) (tptp.hAPP @t1531 @t454))) @t904)))) % 47.01/47.29 (assume @p1896 (forall @t2843 (=> @t1545 (=> @t1073 (=> (forall @t7 (=> @t427 @t1830)) (= @t1829 @t1536)))))) % 47.01/47.29 (assume @p1897 (forall @t170 (=> @t628 (tptp.c_Fun_Oinj__on @t15 @t15 @t2844 @t51)))) % 47.01/47.29 (assume @p1898 (forall @t2847 (=> @t285 @t2846))) % 47.01/47.29 (assume @p1899 (forall (@list @t393 @t260 @t543 @t2848 @t2849 @t294) (=> (tptp.c_Natural_Oevaln @t2850 @t543 @t260 @t393) (=> (=> @t544 (not (tptp.c_Natural_Oevaln @t2849 @t543 @t260 @t393))) (not (=> @t545 (not (tptp.c_Natural_Oevaln @t2848 @t543 @t260 @t393)))))))) % 47.01/47.29 (assume @p1900 (forall (@list @t2849 @t548 @t260 @t2851 @t543 @t294) (=> @t544 (=> (tptp.c_Natural_Oevaln @t2851 @t543 @t260 @t548) @t2853)))) % 47.01/47.29 (assume @p1901 (forall (@list @t2851 @t548 @t260 @t2849 @t543 @t294) (=> @t545 (=> (tptp.c_Natural_Oevaln @t2849 @t543 @t260 @t548) @t2853)))) % 47.01/47.29 (assume @p1902 (forall (@list @t2851 @t548 @t2849 @t543 @t294) (=> @t545 (=> (tptp.hBOOL (tptp.hAPP @t2855 @t548)) @t2854)))) % 47.01/47.29 (assume @p1903 (forall (@list @t2849 @t548 @t2851 @t543 @t294) (=> @t544 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t2851) @t543) @t548)) @t2854)))) % 47.01/47.29 (assume @p1904 (forall (@list @t393 @t543 @t2848 @t2849 @t294) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t2850) @t543) @t393)) (=> (=> @t544 (not (tptp.hBOOL (tptp.hAPP @t2855 @t393)))) (not (=> @t545 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t2848) @t543) @t393))))))))) % 47.01/47.29 (assume @p1905 (forall @t893 (= @t2860 (tptp.hAPP tptp.c_Int_Onat @t2857)))) % 47.01/47.29 (assume @p1906 (forall @t138 (=> @t2863 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t2862) @t2861)) @t135)))) % 47.01/47.29 (assume @p1907 (forall @t100 (=> @t2867 (=> @t98 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2866) @t2865)))))) % 47.01/47.29 (assume @p1908 (forall @t364 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t626 @t2869)) (tptp.hBOOL (tptp.hAPP @t1674 @t2868)))))) % 47.01/47.29 (assume @p1909 (forall @t364 (=> @t628 (= @t2872 (tptp.hBOOL (tptp.hAPP @t2870 @t290)))))) % 47.01/47.29 (assume @p1910 (forall @t337 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t2870 @t2868)) @t627)))) % 47.01/47.29 (assume @p1911 (forall @t155 (=> @t2716 (=> @t123 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2874) @t2873)))))) % 47.01/47.29 (assume @p1912 (forall @t292 (=> @t1263 (= (= @t2868 @t290) @t1261)))) % 47.01/47.29 (assume @p1913 (forall @t292 (=> @t634 (= (= @t2868 @t624) @t1261)))) % 47.01/47.29 (assume @p1914 (forall @t292 (=> @t1263 (= (= @t290 @t2868) @t1261)))) % 47.01/47.29 (assume @p1915 (forall @t292 (=> @t634 (= (= @t624 @t2868) (= @t624 @t290))))) % 47.01/47.29 (assume @p1916 (forall @t1458 (=> @t639 (= (tptp.hAPP @t2864 @t636) @t636)))) % 47.01/47.29 (assume @p1917 (forall @t364 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t761 @t2869)) (tptp.hBOOL (tptp.hAPP @t1695 @t2868)))))) % 47.01/47.29 (assume @p1918 (forall @t364 (=> @t628 (= @t2877 (tptp.hBOOL (tptp.hAPP @t2875 @t290)))))) % 47.01/47.29 (assume @p1919 (forall @t337 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t2875 @t2868)) @t762)))) % 47.01/47.29 (assume @p1920 (forall @t893 (= (tptp.hAPP @t1871 @t2860) @t2857))) % 47.01/47.29 (assume @p1921 (forall @t406 (=> (and @t2247 @t1957) (= (tptp.hAPP @t1832 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t71 tptp.tc_Nat_Onat) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2878 @t1955) @t51))))) % 47.01/47.29 (assume @p1922 (forall (@list @t453 @t456 @t567 @t454 @t457 @t568) (= (= @t2841 @t2879) (and @t569 @t458 @t455)))) % 47.01/47.29 (assume @p1923 (forall @t138 (=> @t2863 (= (= @t2862 @t2861) @t129)))) % 47.01/47.29 (assume @p1924 (forall @t67 (= (= @t2845 @t2880) @t61))) % 47.01/47.29 (assume @p1925 (forall @t2881 (=> (tptp.class_Groups_Ouminus @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t72) @t51) @t47) (tptp.hAPP @t2844 @t52))))) % 47.01/47.29 (assume @p1926 (forall @t80 (=> @t2867 (= (tptp.hAPP @t2864 @t2865) @t75)))) % 47.01/47.29 (assume @p1927 (forall @t170 (= (tptp.hAPP @t2834 @t2845) @t51))) % 47.01/47.29 (assume @p1928 (forall @t364 (=> @t634 (= (= @t2868 @t2869) @t295)))) % 47.01/47.29 (assume @p1929 (forall @t364 (=> @t634 (= (= @t2868 @t294) (= @t2869 @t290))))) % 47.01/47.29 (assume @p1930 (forall @t364 (=> @t634 (= @t2882 (= @t294 @t2868))))) % 47.01/47.29 (assume @p1931 (forall @t159 (=> @t639 (= (tptp.hAPP @t2864 @t2873) @t112)))) % 47.01/47.29 (assume @p1932 (forall @t155 (=> @t2883 (= (tptp.hAPP @t2864 @t1272) @t2310)))) % 47.01/47.29 (assume @p1933 (forall @t2847 (= @t2846 @t285))) % 47.01/47.29 (assume @p1934 (forall @t2847 (=> @t2846 @t285))) % 47.01/47.29 (assume @p1935 (forall @t155 (=> @t2886 (= @t2885 @t2884)))) % 47.01/47.29 (assume @p1936 (forall @t155 (=> @t2886 (= @t2885 @t2888)))) % 47.01/47.29 (assume @p1937 (forall @t155 (=> @t2886 (= @t2888 @t2884)))) % 47.01/47.29 (assume @p1938 (forall @t155 (=> @t2886 (= (tptp.hAPP @t2887 @t2874) @t1577)))) % 47.01/47.29 (assume @p1939 (forall @t364 (=> (tptp.class_Rings_Oidom @t15) (= (= (tptp.hAPP @t1591 @t290) (tptp.hAPP @t1609 @t294)) (or @t295 @t2882))))) % 47.01/47.29 (assume @p1940 (forall @t155 (=> @t2883 (= @t2890 (tptp.hAPP @t2889 @t2874))))) % 47.01/47.29 (assume @p1941 (forall @t155 (=> @t639 (= @t2890 (tptp.hAPP (tptp.hAPP @t1213 @t2874) @t2873))))) % 47.01/47.29 (assume @p1942 (forall @t155 (=> @t639 (= (tptp.hAPP @t1219 (tptp.hAPP @t2889 @t116)) @t116)))) % 47.01/47.29 (assume @p1943 (forall @t155 (=> @t639 (= (tptp.hAPP @t2889 @t1221) @t116)))) % 47.01/47.29 (assume @p1944 (forall @t159 (=> @t2301 (= (tptp.hAPP @t2299 @t2873) @t2300)))) % 47.01/47.29 (assume @p1945 (forall @t67 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2845) @t2880)) @t64))) % 47.01/47.29 (assume @p1946 (forall @t67 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2880) @t2845))))) % 47.01/47.29 (assume @p1947 (forall @t406 (= (tptp.hAPP @t2671 @t2892) (tptp.hAPP @t2834 @t2698)))) % 47.01/47.29 (assume @p1948 (forall @t890 (=> @t2247 (= (tptp.hAPP (tptp.hAPP @t2878 (tptp.hAPP (tptp.hAPP @t888 @t1664) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t1590 @t2895) (tptp.hAPP @t2893 @t51)))))) % 47.01/47.29 (assume @p1949 (forall @t881 (=> @t2247 (= (tptp.hAPP (tptp.hAPP @t2878 (tptp.hAPP @t879 @t1459)) @t51) @t1459)))) % 47.01/47.29 (assume @p1950 (forall @t406 (=> @t2896 (= (tptp.hAPP @t2293 @t2895) (tptp.hAPP (tptp.hAPP @t2878 @t2294) @t51))))) % 47.01/47.29 (assume @p1951 (forall @t406 (=> @t635 (= (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP (tptp.hAPP @t1672 @t2844) @t2)) @t51) (tptp.hAPP @t2844 @t885))))) % 47.01/47.29 (assume @p1952 (forall @t376 (= @t2541 @t2835))) % 47.01/47.29 (assume @p1953 (forall (@list @t472 @t474 @t277 @t276 @t575 @t278) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t278 @t575 @t276) @t277 @t474 @t472) (or (and @t574 @t2898) (and @t576 @t2897))))) % 47.01/47.29 (assume @p1954 (forall (@list @t472 @t474 @t277 @t575 @t276 @t278) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t278 @t276 @t575) @t277 @t474 @t472) (or (and @t574 @t2897) (and @t576 @t2898))))) % 47.01/47.29 (assume @p1955 (forall (@list @t474 @t277 @t472 @t276 @t278) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t278 @t276 @t472)) @t277) @t474)) (or (and @t574 @t2900) (and @t576 @t2899))))) % 47.01/47.29 (assume @p1956 (forall (@list @t474 @t277 @t276 @t472 @t278) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t278 @t472 @t276)) @t277) @t474)) (or (and @t574 @t2899) (and @t576 @t2900))))) % 47.01/47.29 (assume @p1957 (forall (@list @t239 @t454 @t457 @t568) (not (= @t2841 @t241)))) % 47.01/47.29 (assume @p1958 (forall (@list @t454 @t457 @t568 @t239) (not (= @t241 @t2841)))) % 47.01/47.29 (assume @p1959 (forall (@list @t10 @t567 @t454 @t457 @t568) (not (= @t2841 @t570)))) % 47.01/47.29 (assume @p1960 (forall (@list @t454 @t457 @t568 @t10 @t567) (not (= @t570 @t2841)))) % 47.01/47.29 (assume @p1961 (forall @t893 (=> @t2248 (= (tptp.hAPP (tptp.hAPP @t2902 @t2) @t51) (tptp.hAPP (tptp.hAPP @t2901 @t2245) @t2135))))) % 47.01/47.29 (assume @p1962 (forall (@list @t454 @t457 @t453 @t456 @t567) (not (= @t2879 @t460)))) % 47.01/47.29 (assume @p1963 (forall (@list @t453 @t456 @t567 @t454 @t457) (not (= @t460 @t2879)))) % 47.01/47.29 (assume @p1964 (forall @t2903 (not (= @t2879 tptp.c_Com_Ocom_OSKIP)))) % 47.01/47.29 (assume @p1965 (forall @t2903 (not (= tptp.c_Com_Ocom_OSKIP @t2879)))) % 47.01/47.29 (assume @p1966 (forall @t1061 (=> @t2908 (=> @t928 (=> @t2907 @t2906))))) % 47.01/47.29 (assume @p1967 (forall @t1061 (=> (and @t2908 (tptp.class_Rings_Ono__zero__divisors @t71)) (=> @t928 (= @t2906 @t2907))))) % 47.01/47.29 (assume @p1968 (forall @t823 (=> @t2247 (= (tptp.hAPP @t2894 @t377) @t1459)))) % 47.01/47.29 (assume @p1969 (forall @t895 (=> @t2247 (= (tptp.hAPP @t2893 @t377) @t1459)))) % 47.01/47.29 (assume @p1970 (forall @t1060 (=> @t1545 @t2909))) % 47.01/47.29 (assume @p1971 (forall @t1061 (=> @t1545 (=> @t1058 (= @t2905 @t1536))))) % 47.01/47.29 (assume @p1972 (forall @t1065 (=> @t1064 (= (= (tptp.hAPP @t2859 @t1062) @t1449) (forall @t7 (=> @t1063 @t1475)))))) % 47.01/47.29 (assume @p1973 (forall @t292 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t1335 @t2868)) @t1337)))) % 47.01/47.29 (assume @p1974 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP @t626 @t2868)) @t1337)))) % 47.01/47.29 (assume @p1975 (forall @t292 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t2871 @t624)) @t1336)))) % 47.01/47.29 (assume @p1976 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP @t2871 @t290)) @t1336)))) % 47.01/47.29 (assume @p1977 (forall @t292 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t1351 @t2868)) @t1353)))) % 47.01/47.29 (assume @p1978 (forall @t292 (=> @t628 (= (tptp.hBOOL (tptp.hAPP @t2876 @t624)) @t1352)))) % 47.01/47.29 (assume @p1979 (forall @t292 (=> @t1263 (= (tptp.hBOOL (tptp.hAPP @t2876 @t290)) @t1352)))) % 47.01/47.29 (assume @p1980 (forall @t292 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t761 @t2868)) @t1353)))) % 47.01/47.29 (assume @p1981 (forall @t159 (=> @t639 (= (tptp.hAPP @t1219 @t2873) @t636)))) % 47.01/47.29 (assume @p1982 (forall @t364 (=> @t634 (= @t2882 (= @t1231 @t624))))) % 47.01/47.29 (assume @p1983 (forall @t159 (=> @t639 @t2910))) % 47.01/47.29 (assume @p1984 (forall @t159 (=> @t2883 @t2910))) % 47.01/47.29 (assume @p1985 (forall @t155 (=> @t639 (=> (= @t1221 @t636) (= @t2873 @t116))))) % 47.01/47.29 (assume @p1986 (forall @t159 (=> @t639 (= (tptp.hAPP (tptp.hAPP @t637 @t636) @t112) @t2873)))) % 47.01/47.29 (assume @p1987 (forall @t155 (=> @t639 (= (tptp.hAPP @t638 @t2874) @t1221)))) % 47.01/47.29 (assume @p1988 (forall @t155 (=> @t2883 @t2911))) % 47.01/47.29 (assume @p1989 (forall @t155 (=> @t639 @t2911))) % 47.01/47.29 (assume @p1990 (forall @t100 (=> @t2913 (= @t2912 (tptp.hAPP @t2711 @t2866))))) % 47.01/47.29 (assume @p1991 (forall @t80 (=> @t2913 (= @t2865 (tptp.hAPP (tptp.hAPP @t1559 @t2914) @t75))))) % 47.01/47.29 (assume @p1992 (forall @t324 (=> @t2916 (= (= @t1716 @t1459) (or @t1460 (= @t47 @t2915)))))) % 47.01/47.29 (assume @p1993 (forall @t80 (=> @t2867 (= (tptp.hAPP @t2917 @t75) @t415)))) % 47.01/47.29 (assume @p1994 (forall @t80 (=> @t2867 (= (tptp.hAPP @t973 @t2865) @t415)))) % 47.01/47.29 (assume @p1995 (forall @t100 (=> @t2867 (= @t2912 (tptp.hAPP @t973 @t2866))))) % 47.01/47.29 (assume @p1996 (forall @t1458 (=> @t2867 (= (tptp.hAPP @t2864 @t2535) @t415)))) % 47.01/47.29 (assume @p1997 (forall @t1458 (=> @t2867 (= (tptp.hAPP @t2864 @t415) @t2535)))) % 47.01/47.29 (assume @p1998 (forall @t100 (=> @t2867 (= (tptp.hAPP @t2864 @t144) (tptp.hAPP @t2917 @t2866))))) % 47.01/47.29 (assume @p1999 (forall @t100 (=> @t2867 (= (tptp.hAPP @t2864 @t982) (tptp.hAPP @t2918 @t2866))))) % 47.01/47.29 (assume @p2000 (forall @t80 (=> @t2867 (= (tptp.hAPP @t2918 @t75) @t2535)))) % 47.01/47.29 (assume @p2001 (forall @t80 (=> @t2867 (= (tptp.hAPP @t142 @t2865) @t2535)))) % 47.01/47.29 (assume @p2002 (forall @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t2919 @t2300))))) % 47.01/47.29 (assume @p2003 (forall @t364 (=> @t2296 (= (tptp.hBOOL (tptp.hAPP @t2313 @t294)) (and @t627 @t2872))))) % 47.01/47.29 (assume @p2004 (forall @t155 (=> @t2301 (=> @t123 (=> @t2920 @t2302))))) % 47.01/47.29 (assume @p2005 (forall @t155 (=> @t2301 (=> @t2302 @t2920)))) % 47.01/47.29 (assume @p2006 (forall @t364 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t2303) @t294)) (and @t762 @t2877))))) % 47.01/47.29 (assume @p2007 (forall @t170 (= (tptp.hBOOL (tptp.hAPP @t65 @t2845)) @t327))) % 47.01/47.29 (assume @p2008 (forall @t594 (= (tptp.hAPP @t2834 @t2496) @t289))) % 47.01/47.29 (assume @p2009 (forall @t594 (= (tptp.hAPP @t2834 @t289) @t2496))) % 47.01/47.29 (assume @p2010 (forall @t170 (=> @t928 (= (tptp.hBOOL (tptp.hAPP @t927 @t2845)) @t2514)))) % 47.01/47.29 (assume @p2011 (forall @t170 (= (tptp.hAPP @t963 @t2845) @t289))) % 47.01/47.29 (assume @p2012 (forall @t170 (= (tptp.hAPP @t2921 @t51) @t289))) % 47.01/47.29 (assume @p2013 (forall @t769 (=> @t2248 (=> @t2268 (= @t2922 (tptp.hAPP (tptp.hAPP @t2902 @t2278) @t2265)))))) % 47.01/47.29 (assume @p2014 (forall @t170 (= (tptp.hAPP @t2923 @t51) @t2496))) % 47.01/47.29 (assume @p2015 (forall @t170 (= (tptp.hAPP @t56 @t2845) @t2496))) % 47.01/47.29 (assume @p2016 (forall @t67 (= (tptp.hAPP @t2834 @t57) (tptp.hAPP @t2921 @t2880)))) % 47.01/47.29 (assume @p2017 (forall @t67 (= (tptp.hAPP @t2834 @t964) (tptp.hAPP @t2923 @t2880)))) % 47.01/47.29 (assume @p2018 (forall @t100 (=> @t2924 (= (tptp.hAPP @t2864 @t2693) (tptp.hAPP (tptp.hAPP @t2775 @t2865) @t2866))))) % 47.01/47.29 (assume @p2019 (forall @t100 (=> @t2924 (= (tptp.hAPP @t2864 @t2777) (tptp.hAPP (tptp.hAPP @t2686 @t2865) @t2866))))) % 47.01/47.29 (assume @p2020 (forall @t138 (=> @t628 (= (tptp.hAPP @t2925 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t47 @t128)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t15 @t2861 @t2862))))) % 47.01/47.29 (assume @p2021 (forall @t170 (= @t2845 (tptp.hAPP (tptp.hAPP @t529 @t2496) @t51)))) % 47.01/47.29 (assume @p2022 (forall @t67 (= (tptp.hAPP @t2834 @t537) (tptp.hAPP @t2923 @t48)))) % 47.01/47.29 (assume @p2023 (forall @t67 (= @t537 (tptp.hAPP @t963 @t2880)))) % 47.01/47.29 (assume @p2024 (forall @t67 (= (tptp.hAPP @t530 @t2880) @t964))) % 47.01/47.29 (assume @p2025 (forall @t1399 (=> @t1545 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t2836 @t1783) @t51) (tptp.hAPP @t2926 (tptp.hAPP (tptp.hAPP @t2836 @t899) @t51))))))) % 47.01/47.29 (assume @p2026 (forall @t292 (=> @t1517 (=> @t1502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t2868) @t1501)))))) % 47.01/47.29 (assume @p2027 (forall @t138 (=> @t628 (= (tptp.hAPP @t2925 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t47 @t128)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t15 @t2861 @t2862))))) % 47.01/47.29 (assume @p2028 (forall @t170 (= @t2845 (tptp.hAPP @t2386 (tptp.hAPP @t792 @t622))))) % 47.01/47.29 (assume @p2029 (forall @t1988 (=> @t720 (= (tptp.hAPP @t2834 @t1967) @t2344)))) % 47.01/47.29 (assume @p2030 (forall @t1988 (=> @t720 (= (tptp.hAPP @t2834 @t2344) @t1967)))) % 47.01/47.29 (assume @p2031 (forall @t2398 (= (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2406 @t35)) @t34)) (tptp.hAPP (tptp.hAPP @t55 @t2835) @t2395)))) % 47.01/47.29 (assume @p2032 (forall @t1988 (=> @t720 (= (tptp.hAPP @t2834 @t2321) @t2364)))) % 47.01/47.29 (assume @p2033 (forall @t1988 (=> @t720 (= (tptp.hAPP @t2834 @t2364) @t2321)))) % 47.01/47.29 (assume @p2034 (forall @t2929 (=> @t1073 (= @t2928 @t2927)))) % 47.01/47.29 (assume @p2035 (forall @t159 (=> @t2301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t2864 @t2300)) @t636))))) % 47.01/47.29 (assume @p2036 (forall @t159 (=> @t2301 (=> @t1350 @t2930)))) % 47.01/47.29 (assume @p2037 (forall @t159 (=> (tptp.class_Groups_Oabs__if @t76) (and @t2931 (=> (not @t1363) @t2314))))) % 47.01/47.29 (assume @p2038 (forall @t159 (=> @t2301 @t2931))) % 47.01/47.29 (assume @p2039 (forall @t1074 (=> @t1545 (=> @t1073 (and (=> @t1070 (= @t2932 @t1072)) (=> @t1071 (= @t2932 @t1536))))))) % 47.01/47.29 (assume @p2040 (forall @t1074 (=> @t1545 (=> @t1073 (and (=> @t1070 (= @t2933 @t1072)) (=> @t1071 (= @t2933 @t1536))))))) % 47.01/47.29 (assume @p2041 (forall @t67 (= @t1017 (tptp.hBOOL (tptp.hAPP @t65 @t2880))))) % 47.01/47.29 (assume @p2042 (forall @t408 (=> @t2729 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t2834 @t87)) (tptp.hAPP @t85 @t2892)))))) % 47.01/47.29 (assume @p2043 (forall @t138 (=> @t628 (= (tptp.hAPP @t2925 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t47 @t128)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t2861) @t2862))))) % 47.01/47.29 (assume @p2044 (forall @t138 (=> @t628 (= (tptp.hAPP @t2925 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t15 @t47) @t128)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t15 @t2861 @t2862))))) % 47.01/47.29 (assume @p2045 (forall @t324 (=> @t628 (= (tptp.hAPP @t2925 @t2358) (tptp.hAPP @t1860 @t2862))))) % 47.01/47.29 (assume @p2046 (forall @t324 (=> @t628 (= (tptp.hAPP @t2925 @t1862) (tptp.hAPP @t2350 @t2862))))) % 47.01/47.29 (assume @p2047 (forall @t324 (=> @t628 (= (tptp.hAPP @t2925 @t2298) (tptp.hAPP @t2327 @t2862))))) % 47.01/47.29 (assume @p2048 (forall @t324 (=> @t628 (= (tptp.hAPP @t2925 @t2343) (tptp.hAPP @t2285 @t2862))))) % 47.01/47.29 (assume @p2049 (forall @t930 (=> @t1545 (=> @t928 (=> @t359 (= (tptp.hAPP @t2904 @t319) (tptp.hAPP (tptp.hAPP @t1537 @t397) @t2905))))))) % 47.01/47.29 (assume @p2050 (forall @t1204 (=> @t1545 (=> @t928 (=> @t357 (= @t2934 (tptp.hAPP @t2838 @t2840))))))) % 47.01/47.29 (assume @p2051 (forall @t170 (= (tptp.hAPP @t521 @t2845) (tptp.hAPP @t2455 (tptp.hAPP (tptp.hAPP @t2935 @t2945) (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t2943 (tptp.hAPP @t2940 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t776 @t243) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t243 (tptp.tc_fun @t776 @t243) @t54) @t2936) tptp.c_fequal)) @t2834)))) (tptp.hAPP (tptp.hAPP @t2935 @t541) @t521))))))) % 47.01/47.29 (assume @p2052 (forall @t1429 (=> @t1545 (=> @t928 (=> @t943 (= (tptp.hAPP (tptp.hAPP @t1537 @t2947) (tptp.hAPP @t2837 @t964)) @t2946)))))) % 47.01/47.29 (assume @p2053 (forall @t1060 (=> @t1545 (and @t2948 @t2909)))) % 47.01/47.29 (assume @p2054 (forall @t1060 (=> @t1545 @t2948))) % 47.01/47.29 (assume @p2055 (forall @t100 (=> @t2867 (=> (= @t982 @t415) (=> (= @t144 @t2535) (= @t2865 @t95)))))) % 47.01/47.29 (assume @p2056 (forall @t406 (=> @t2531 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t2950) @t2949))))) % 47.01/47.29 (assume @p2057 (forall (@list @t48 @t71 @t345 @t51 @t281 @t15) (and (=> @t284 (and (=> @t2953 (= @t2952 @t2512)) (=> @t2954 (= @t2952 @t48)))) (=> @t285 (and (=> @t2953 (= @t2952 (tptp.hAPP @t2891 @t48))) (=> @t2954 (= @t2952 @t377))))))) % 47.01/47.29 (assume @p2058 (forall @t1431 (=> @t1545 (=> @t928 (= @t2934 @t2839))))) % 47.01/47.29 (assume @p2059 (forall @t1429 (=> @t1545 (=> @t928 (=> @t943 (=> @t1017 @t2955)))))) % 47.01/47.29 (assume @p2060 (forall @t2958 (=> @t1263 (=> @t1073 (=> @t2957 (= (tptp.hAPP @t2844 (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t386)) (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t2956))))))) % 47.01/47.29 (assume @p2061 (forall @t2958 (=> @t1263 (=> @t1073 (=> @t2957 (= (tptp.hAPP @t2844 (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t386)) (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t2956))))))) % 47.01/47.29 (assume @p2062 (forall @t1445 (=> @t1545 (=> @t1073 (=> @t1160 (=> @t1831 (= (tptp.hAPP @t2904 @t1443) (tptp.hAPP (tptp.hAPP @t1537 @t2960) @t2959)))))))) % 47.01/47.29 (assume @p2063 (forall @t1429 (=> @t1545 (=> @t928 (=> @t943 (=> (forall @t7 (=> @t1442 (= @t4 @t1536))) @t2955)))))) % 47.01/47.29 (assume @p2064 (forall (@list @t281 @t294 @t290 @t386 @t15 @t71) (=> @t1545 (=> @t1073 (and (=> @t1070 (= @t2964 (tptp.hAPP (tptp.hAPP @t1537 @t1072) (tptp.hAPP @t2963 (tptp.hAPP (tptp.hAPP @t643 @t2961) @t1449))))) (=> @t1071 (= @t2964 (tptp.hAPP @t2963 @t2961)))))))) % 47.01/47.29 (assume @p2065 (forall (@list @t290 @t2 @t51 @t15 @t71) (=> @t2968 (=> @t928 (=> (not (= @t397 @t1033)) (and (=> @t293 (= @t2965 (tptp.hAPP @t2967 @t397))) (=> @t359 (= @t2965 @t2905)))))))) % 47.01/47.29 (assume @p2066 (forall @t1161 (=> @t1545 (=> @t1160 (=> @t1159 (=> @t2969 (= @t2959 @t2960))))))) % 47.01/47.29 (assume @p2067 (forall @t672 (tptp.hBOOL (tptp.hAPP @t2972 @t1876)))) % 47.01/47.29 (assume @p2068 (forall @t672 (tptp.hBOOL (tptp.hAPP @t2974 @t1876)))) % 47.01/47.29 (assume @p2069 (forall @t2055 (= (tptp.hAPP @t2970 @t2069) (tptp.hAPP @t2977 @t2975)))) % 47.01/47.29 (assume @p2070 (forall @t155 (=> @t2983 (= @t2982 (tptp.hAPP @t2979 @t116))))) % 47.01/47.29 (assume @p2071 (= (tptp.hAPP @t2970 @t1870) @t1870)) % 47.01/47.29 (assume @p2072 (forall @t80 (=> @t1505 (= (tptp.hAPP @t2985 @t1449) @t75)))) % 47.01/47.29 (assume @p2073 (forall @t2989 (=> @t1505 (= (tptp.hAPP (tptp.hAPP @t2984 @t2988) @t2100) (tptp.hAPP @t2985 (tptp.hAPP @t2987 @t2100)))))) % 47.01/47.29 (assume @p2074 (forall @t1286 (= (tptp.hAPP (tptp.hAPP @t2990 @t2992) @t101) (tptp.hAPP @t2991 (tptp.hAPP (tptp.hAPP @t1625 @t95) @t101))))) % 47.01/47.29 (assume @p2075 (forall @t125 (=> @t2983 (= (tptp.hAPP (tptp.hAPP @t2978 @t1272) @t113) (tptp.hAPP (tptp.hAPP @t637 @t2994) @t2993))))) % 47.01/47.29 (assume @p2076 (forall (@list @t2100 @t95 @t75 @t76) (=> @t1505 (= (tptp.hAPP (tptp.hAPP @t2984 @t1606) @t2100) (tptp.hAPP @t2997 (tptp.hAPP @t2995 @t2100)))))) % 47.01/47.29 (assume @p2077 (forall @t159 (=> @t2983 (= (tptp.hAPP @t2980 @t1456) @t112)))) % 47.01/47.29 (assume @p2078 (forall @t494 (= @t3001 @t2998))) % 47.01/47.29 (assume @p2079 (forall @t494 (= @t2998 @t3001))) % 47.01/47.29 (assume @p2080 (forall @t3002 (= (tptp.hAPP (tptp.hAPP @t2990 @t2139) @t369) (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t2999 @t75) @t369))))) % 47.01/47.29 (assume @p2081 (forall @t125 (=> @t2983 (= (tptp.hAPP @t1576 @t2993) (tptp.hAPP (tptp.hAPP @t2978 @t1577) @t113))))) % 47.01/47.29 (assume @p2082 (forall @t125 (=> @t2983 (= (tptp.hAPP @t3003 @t113) (tptp.hAPP (tptp.hAPP @t1213 @t2994) @t2993))))) % 47.01/47.29 (assume @p2083 (forall @t159 (=> @t3004 (= (tptp.hAPP @t2980 @t636) @t636)))) % 47.01/47.29 (assume @p2084 (forall @t159 (=> @t2983 (= (tptp.hAPP (tptp.hAPP @t2978 @t636) @t112) @t636)))) % 47.01/47.29 (assume @p2085 (forall @t2055 (= (tptp.hAPP (tptp.hAPP @t1891 @t2976) @t2038) (tptp.hAPP @t2970 @t2096)))) % 47.01/47.29 (assume @p2086 (forall @t3002 (=> @t2276 (tptp.c_Nat__Transfer_Ois__nat @t3005)))) % 47.01/47.29 (assume @p2087 (forall @t3002 (=> @t2153 (= (tptp.hAPP (tptp.hAPP @t2999 @t2212) @t369) (tptp.hAPP tptp.c_Int_Onat @t3005))))) % 47.01/47.29 (assume @p2088 (forall (@list @t369 @t101) (=> @t2034 (= (tptp.hAPP tptp.c_Int_Onat @t3006) (tptp.hAPP (tptp.hAPP @t2999 @t2230) @t369))))) % 47.01/47.29 (assume @p2089 (forall @t1670 (=> @t3008 (= (tptp.hAPP (tptp.hAPP @t3007 @t885) @t1667) (tptp.hAPP (tptp.hAPP @t826 (tptp.hAPP (tptp.hAPP @t1668 (tptp.hAPP (tptp.hAPP @t887 @t3007) @t2)) @t1667)) @t51))))) % 47.01/47.29 (assume @p2090 (forall @t1254 (=> @t3015 (=> @t3014 (= @t3012 @t3009))))) % 47.01/47.29 (assume @p2091 (forall @t3018 (=> @t3015 (=> @t3014 (= @t3017 @t3016))))) % 47.01/47.29 (assume @p2092 (forall @t1348 (=> @t2983 (=> @t3020 (=> (= @t116 @t1603) (= @t2993 @t112)))))) % 47.01/47.29 (assume @p2093 (forall @t1244 (=> @t2983 (=> @t3020 (=> (= @t1603 @t116) (= @t112 @t2993)))))) % 47.01/47.29 (assume @p2094 (forall @t337 (=> @t3015 (=> (not @t1589) (= (= @t3021 @t1459) @t295))))) % 47.01/47.29 (assume @p2095 (forall @t159 (=> @t2983 @t3023))) % 47.01/47.29 (assume @p2096 (forall @t159 (=> @t3004 (and (=> @t1584 (= @t3022 @t636)) @t3023)))) % 47.01/47.29 (assume @p2097 (forall @t733 (=> @t2983 (=> @t1587 @t3024)))) % 47.01/47.29 (assume @p2098 (forall @t733 (=> @t2983 (=> @t1587 @t3025)))) % 47.01/47.29 (assume @p2099 (forall @t3027 (=> @t1505 (= (tptp.hAPP @t2997 @t75) @t3026)))) % 47.01/47.29 (assume @p2100 (forall @t3027 (=> @t1505 (= @t3028 @t3026)))) % 47.01/47.29 (assume @p2101 (forall @t3027 (=> @t1505 (= @t3026 @t3028)))) % 47.01/47.29 (assume @p2102 (forall @t80 (=> @t1505 (= (tptp.hAPP @t2985 @t520) @t1456)))) % 47.01/47.29 (assume @p2103 (forall @t2989 (=> @t1505 (= (tptp.hAPP (tptp.hAPP @t1559 @t2988) @t2996) (tptp.hAPP @t2985 (tptp.hAPP (tptp.hAPP @t1274 @t2986) @t2100)))))) % 47.01/47.29 (assume @p2104 (forall @t3002 (=> @t2153 (tptp.hBOOL (tptp.hAPP @t2025 @t3005))))) % 47.01/47.29 (assume @p2105 (forall @t1286 (= (tptp.hAPP @t2991 @t1283) (tptp.hAPP (tptp.hAPP @t1891 @t2992) (tptp.hAPP @t2991 @t101))))) % 47.01/47.29 (assume @p2106 (forall @t2035 (= (tptp.hAPP @t2977 @t101) @t1870))) % 47.01/47.29 (assume @p2107 (forall @t501 (= (= (tptp.hAPP @t2970 @t1872) @t1886) @t3029))) % 47.01/47.29 (assume @p2108 (forall @t672 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1889) (tptp.hAPP @t2970 @t1876)))))) % 47.01/47.29 (assume @p2109 (forall @t2055 (= @t3031 @t3030))) % 47.01/47.29 (assume @p2110 (forall @t2055 (= @t3030 @t3031))) % 47.01/47.29 (assume @p2111 (forall @t3035 (=> @t1517 (=> @t1502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t3034) @t1501)))))) % 47.01/47.29 (assume @p2112 (forall @t1199 (=> (tptp.class_Fields_Ofield__inverse__zero @t71) (=> @t928 (= (tptp.hAPP (tptp.hAPP @t2836 (tptp.hAPP (tptp.hAPP @t1398 (tptp.hAPP (tptp.hAPP @t1397 @t2966) @t2)) @t1)) @t51) (tptp.hAPP @t2967 @t2840)))))) % 47.01/47.29 (assume @p2113 (forall (@list @t260 @t47 @t15) (=> @t3008 (=> (not @t1460) (= (tptp.hAPP (tptp.hAPP @t1550 @t3036) @t1859) (tptp.hAPP (tptp.hAPP @t3007 (tptp.hAPP (tptp.hAPP @t565 (tptp.hAPP @t3036 @t260)) @t1459)) (tptp.hAPP (tptp.hAPP @t565 @t47) @t1459))))))) % 47.01/47.29 (assume @p2114 (forall @t501 (= (tptp.hBOOL (tptp.hAPP @t1874 (tptp.hAPP @t2970 @t1886))) @t3029))) % 47.01/47.29 (assume @p2115 (forall @t483 (tptp.hBOOL (tptp.hAPP @t2972 @t1870)))) % 47.01/47.29 (assume @p2116 (forall @t483 (= (tptp.hAPP tptp.c_Int_Onat @t2971) @t520))) % 47.01/47.29 (assume @p2117 (forall @t3002 (tptp.hBOOL (tptp.hAPP @t2025 (tptp.hAPP (tptp.hAPP @t2990 @t2325) @t369))))) % 47.01/47.29 (assume @p2118 (forall @t3039 (and (=> @t3038 (= @t3037 (tptp.hAPP @t2970 @t559))) (=> (not @t3038) (= @t3037 @t559))))) % 47.01/47.29 (assume @p2119 (forall @t483 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2973)))) % 47.01/47.29 (assume @p2120 (forall (@list @t128 @t51 @t15 @t71) (=> @t1545 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t2836 (tptp.hAPP @t379 @t128)) @t51) (tptp.hAPP (tptp.hAPP @t2962 @t128) @t1208)))))) % 47.01/47.29 (assume @p2121 (forall @t483 (not (tptp.hBOOL (tptp.hAPP @t2025 @t2973))))) % 47.01/47.29 (assume @p2122 (forall @t483 (tptp.hBOOL (tptp.hAPP @t2974 @t1870)))) % 47.01/47.29 (assume @p2123 (forall (@list @t2986 @t488) (and (=> @t1472 (= @t3041 @t1449)) (=> @t1473 (= @t3041 (tptp.hAPP @t2987 (tptp.hAPP @t3040 @t1471))))))) % 47.01/47.29 (assume @p2124 (forall @t3042 (= (tptp.hBOOL (tptp.hAPP @t1919 (tptp.hAPP (tptp.hAPP @t2990 (tptp.hAPP @t2289 @t47)) @t260))) (or (not (= @t47 @t1870)) @t554)))) % 47.01/47.29 (assume @p2125 (forall @t170 (=> @t928 (= (tptp.hAPP @t3044 @t552) (tptp.hAPP @t3043 @t1208))))) % 47.01/47.29 (assume @p2126 (forall @t2259 (=> @t2232 (= @t2260 (tptp.hAPP (tptp.hAPP @t1625 (tptp.hAPP tptp.c_Int_Onat @t2976)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2970 @t2071))))))) % 47.01/47.29 (assume @p2127 (forall @t3051 (=> @t1435 (=> @t732 (=> @t1340 (=> @t852 @t3050)))))) % 47.01/47.29 (assume @p2128 (forall (@list @t488 @t369 @t112 @t76) (=> @t3053 (=> @t1588 (=> @t556 (= (tptp.hAPP @t3047 @t647) (tptp.hAPP (tptp.hAPP @t2978 @t3052) @t3048))))))) % 47.01/47.29 (assume @p2129 (forall @t3055 (=> @t1435 (=> @t3054 (=> @t852 (tptp.hBOOL (tptp.hAPP @t1465 @t3048))))))) % 47.01/47.29 (assume @p2130 (forall @t3061 (=> @t1928 (=> @t3060 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3058) @t3057)) @t2140))))) % 47.01/47.29 (assume @p2131 (forall @t3062 (=> @t1435 (=> @t3054 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3052) @t3048)) @t491))))) % 47.01/47.29 (assume @p2132 (forall @t2035 (= (tptp.hAPP @t2970 @t2976) @t101))) % 47.01/47.29 (assume @p2133 (forall @t3055 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t76) (=> @t1588 (not (= @t3048 @t636)))))) % 47.01/47.29 (assume @p2134 (forall (@list @t496 @t47) (= (= (tptp.hAPP @t3063 @t496) @t904) (or @t903 (= @t47 @t904))))) % 47.01/47.29 (assume @p2135 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t2999 @t904) @t369) @t904))) % 47.01/47.29 (assume @p2136 (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP @t822 @t559)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t3064 @t488)) @t3065)) @t821)))) % 47.01/47.29 (assume @p2137 (forall @t3042 (= (tptp.hBOOL (tptp.hAPP @t822 (tptp.hAPP @t3063 @t260))) (or (tptp.hBOOL (tptp.hAPP @t822 @t47)) @t554)))) % 47.01/47.29 (assume @p2138 (forall @t3051 (=> @t1621 (= (tptp.hAPP (tptp.hAPP @t2984 @t1577) @t369) (tptp.hAPP @t3067 @t3046))))) % 47.01/47.29 (assume @p2139 (forall @t3055 (=> @t1622 (= @t3069 @t3068)))) % 47.01/47.29 (assume @p2140 (forall @t1923 (=> @t1622 (= (tptp.hAPP @t3070 @t369) @t1456)))) % 47.01/47.29 (assume @p2141 (forall @t1723 (=> @t1926 (= (tptp.hAPP @t1920 @t3000) (tptp.hAPP (tptp.hAPP @t2984 @t1921) @t369))))) % 47.01/47.29 (assume @p2142 (forall @t3062 (=> @t1622 (= (tptp.hAPP @t3047 @t1744) (tptp.hAPP (tptp.hAPP @t2984 @t3052) @t369))))) % 47.01/47.29 (assume @p2143 (forall @t3051 (=> @t3072 @t3071))) % 47.01/47.29 (assume @p2144 (forall @t3055 (=> @t1474 (= @t3075 @t3074)))) % 47.01/47.29 (assume @p2145 (forall @t159 (=> @t1622 (= (tptp.hAPP @t3047 @t1449) @t112)))) % 47.01/47.29 (assume @p2146 (forall @t3055 (=> @t1435 (=> @t1340 (tptp.hBOOL (tptp.hAPP @t1338 @t3048)))))) % 47.01/47.29 (assume @p2147 (forall @t3051 (=> @t1435 (=> @t123 (=> @t1340 (tptp.hBOOL (tptp.hAPP @t3076 @t3046))))))) % 47.01/47.29 (assume @p2148 (forall @t3055 (=> @t1435 (=> @t1359 (tptp.hBOOL (tptp.hAPP @t1355 @t3048)))))) % 47.01/47.29 (assume @p2149 (forall @t3035 (=> (and @t3077 (tptp.class_Rings_Omult__zero @t15) (tptp.class_Rings_Ono__zero__divisors @t15) (tptp.class_Rings_Ozero__neq__one @t15)) (= (= @t3034 @t624) (and @t1261 @t856))))) % 47.01/47.29 (assume @p2150 (forall @t3055 (=> @t1435 (=> @t3078 (tptp.hBOOL (tptp.hAPP @t1464 @t3048)))))) % 47.01/47.29 (assume @p2151 (forall @t1923 (=> @t3081 (= (tptp.hAPP @t3079 @t370) @t636)))) % 47.01/47.29 (assume @p2152 (forall (@list @t260 @t496 @t290 @t15) (=> @t1928 (=> (tptp.hBOOL (tptp.hAPP @t3059 @t290)) (= (= (tptp.hAPP @t3033 @t496) @t3034) @t663))))) % 47.01/47.29 (assume @p2153 (forall @t3055 (=> @t1622 (= @t3082 @t3069)))) % 47.01/47.29 (assume @p2154 (forall @t3055 (=> @t3080 (= @t3082 @t3068)))) % 47.01/47.29 (assume @p2155 (forall @t665 (=> (tptp.hBOOL (tptp.hAPP @t1779 @t559)) (tptp.hBOOL (tptp.hAPP @t1779 @t3065))))) % 47.01/47.29 (assume @p2156 (forall @t159 (=> @t3080 (= (tptp.hAPP @t3047 @t520) @t1456)))) % 47.01/47.29 (assume @p2157 (forall @t3062 (=> @t1622 (= (tptp.hAPP @t3047 @t1276) (tptp.hAPP (tptp.hAPP @t1559 @t3052) @t3048))))) % 47.01/47.29 (assume @p2158 (forall (@list @t369 @t112 @t116 @t76) (=> @t3053 (=> @t1587 @t3071)))) % 47.01/47.29 (assume @p2159 (forall @t3055 (=> @t3072 (= (tptp.hAPP @t3083 @t3048) (tptp.hAPP (tptp.hAPP @t2984 (tptp.hAPP @t3083 @t112)) @t369))))) % 47.01/47.29 (assume @p2160 (forall @t3055 (=> @t1474 (= (tptp.hAPP @t2299 @t3085) @t3075)))) % 47.01/47.29 (assume @p2161 (forall @t3086 (=> @t1435 (=> @t3050 (=> @t1339 @t732))))) % 47.01/47.29 (assume @p2162 (forall @t3086 (=> @t1435 (=> (= @t3082 @t3087) (=> @t1340 (=> @t1339 @t126)))))) % 47.01/47.29 (assume @p2163 (forall @t3086 (=> @t1435 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3082) @t3087)) (=> @t1339 @t123))))) % 47.01/47.29 (assume @p2164 (forall @t3055 (=> @t1435 (=> @t3054 (tptp.hBOOL (tptp.hAPP @t3049 @t3068)))))) % 47.01/47.29 (assume @p2165 (forall @t3055 (=> @t1435 (=> @t3054 (tptp.hBOOL (tptp.hAPP @t1465 @t3068)))))) % 47.01/47.29 (assume @p2166 (forall @t1923 (=> @t3081 (and (=> @t853 (= @t3088 @t1456)) (=> @t854 (= @t3088 @t636)))))) % 47.01/47.29 (assume @p2167 (forall @t3055 (=> @t1435 (=> @t3054 (tptp.hBOOL (tptp.hAPP @t1465 @t3082)))))) % 47.01/47.29 (assume @p2168 (forall @t3061 (=> @t1928 (=> @t3060 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3058) @t3057)) @t1993))))) % 47.01/47.29 (assume @p2169 (forall @t3062 (=> @t1435 (=> @t3054 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3052) @t3048)) @t821))))) % 47.01/47.29 (assume @p2170 (forall @t3092 (=> @t1435 (=> @t3091 (=> @t3054 (tptp.hBOOL (tptp.hAPP @t3049 @t3090))))))) % 47.01/47.29 (assume @p2171 (forall @t3055 (=> @t1474 (tptp.hBOOL (tptp.hAPP @t1338 @t3074))))) % 47.01/47.29 (assume @p2172 (forall @t3092 (=> @t1435 (=> @t3093 (=> @t3078 (tptp.hBOOL (tptp.hAPP @t3076 @t3090))))))) % 47.01/47.29 (assume @p2173 (forall @t3055 (=> @t1977 (= @t3085 (tptp.hAPP (tptp.hAPP @t1559 (tptp.hAPP @t3094 @t369)) @t3048))))) % 47.01/47.29 (assume @p2174 (forall @t3055 (=> @t1435 (=> @t1359 (=> @t3095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3068) @t3048))))))) % 47.01/47.29 (assume @p2175 (forall @t3086 (=> @t1435 (=> (= @t3048 @t3046) (=> @t1340 (=> @t1339 (=> @t852 @t126))))))) % 47.01/47.29 (assume @p2176 (forall @t3055 (=> @t1435 (=> @t1359 (=> @t3095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3082) @t1456))))))) % 47.01/47.29 (assume @p2177 (forall @t3092 (=> @t1435 (=> @t3091 (=> @t1359 (=> @t3095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3090) @t3048)))))))) % 47.01/47.29 (assume @p2178 (forall @t3092 (=> @t1435 (=> @t3093 (=> @t1340 (=> (tptp.hBOOL (tptp.hAPP @t121 @t1456)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3090) @t3048)))))))) % 47.01/47.29 (assume @p2179 (forall @t1232 (=> @t3101 (= @t3100 (and (=> @t1698 @t3099) (=> @t3098 (and (=> @t1697 @t3097) (=> @t3096 @t1337)))))))) % 47.01/47.29 (assume @p2180 (forall @t3104 (=> @t3101 (= @t3103 (and (=> @t1698 @t3097) (=> @t3098 (and (=> @t1697 @t3099) (=> @t3096 @t1336)))))))) % 47.01/47.29 (assume @p2181 (forall @t1254 (=> @t2896 (=> @t1698 (= @t3100 @t3099))))) % 47.01/47.29 (assume @p2182 (forall @t3018 (=> @t2896 (=> @t1698 (= @t3103 @t3097))))) % 47.01/47.29 (assume @p2183 (forall (@list @t2038 @t101 @t95 @t75 @t76) (=> @t3072 (= (tptp.hAPP (tptp.hAPP @t1559 @t3106) (tptp.hAPP (tptp.hAPP @t2978 @t101) @t2038)) (tptp.hAPP (tptp.hAPP @t2978 @t1605) (tptp.hAPP @t1762 @t2038)))))) % 47.01/47.29 (assume @p2184 (forall @t155 (=> @t3072 @t3025))) % 47.01/47.29 (assume @p2185 (forall @t155 (=> @t3072 @t3024))) % 47.01/47.29 (assume @p2186 (forall @t155 (=> @t3108 @t3107))) % 47.01/47.29 (assume @p2187 (forall @t125 (=> @t3108 (=> @t123 (=> @t1692 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2993) @t2994))))))) % 47.01/47.29 (assume @p2188 (forall @t125 (=> @t3108 (=> @t123 (=> @t1347 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t2994) @t2993))))))) % 47.01/47.29 (assume @p2189 (forall @t364 (=> @t3101 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3021) @t624)) @t1679)))) % 47.01/47.29 (assume @p2190 (forall @t364 (=> @t3101 (= (tptp.hBOOL (tptp.hAPP @t1335 @t3021)) @t1677)))) % 47.01/47.29 (assume @p2191 (forall @t120 (=> @t3110 (=> @t730 (=> @t1715 @t3109))))) % 47.01/47.29 (assume @p2192 (forall @t125 (=> @t3110 (=> @t732 (=> @t1712 @t3109))))) % 47.01/47.29 (assume @p2193 (forall @t100 (=> @t3110 (=> @t3113 (=> @t3112 @t3111))))) % 47.01/47.29 (assume @p2194 (forall @t100 (=> @t3110 (=> @t3113 (=> @t3116 @t3115))))) % 47.01/47.29 (assume @p2195 (forall @t100 (=> @t3110 (=> @t3117 (=> @t3112 @t3115))))) % 47.01/47.29 (assume @p2196 (forall @t100 (=> @t3110 (=> @t3117 (=> @t3116 @t3111))))) % 47.01/47.29 (assume @p2197 (forall @t364 (=> @t3101 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3021) @t624)) (or (and @t1352 @t3119) (and @t1353 @t3118)))))) % 47.01/47.29 (assume @p2198 (forall @t364 (=> @t3101 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3021)) (or (and @t1352 @t3118) (and @t1353 @t3119)))))) % 47.01/47.29 (assume @p2199 (forall (@list @t1615 @t47 @t202 @t128 @t15) (=> @t3008 (=> @t1764 (=> (not @t3120) (= (= (tptp.hAPP (tptp.hAPP @t3007 @t47) @t128) (tptp.hAPP (tptp.hAPP @t3007 @t1615) @t202)) (= @t1618 @t1619))))))) % 47.01/47.29 (assume @p2200 (forall @t1244 (=> @t3072 (=> @t3020 (= (tptp.hAPP (tptp.hAPP @t2978 @t1689) @t1688) @t2981))))) % 47.01/47.29 (assume @p2201 (forall @t1244 (=> @t3072 (=> @t3020 (= (tptp.hAPP (tptp.hAPP @t2978 @t1603) @t1582) @t2981))))) % 47.01/47.29 (assume @p2202 (forall @t3104 (=> @t3122 (= @t3017 (and (=> @t3014 @t3016) @t3121))))) % 47.01/47.29 (assume @p2203 (forall @t1232 (=> @t3122 (= @t3012 (and (=> @t3014 @t3009) @t3121))))) % 47.01/47.29 (assume @p2204 (forall @t733 (=> @t3110 (=> @t1587 @t3107)))) % 47.01/47.29 (assume @p2205 (forall @t100 (=> @t3110 (=> @t3124 (=> @t3112 @t3123))))) % 47.01/47.29 (assume @p2206 (forall @t100 (=> @t3110 (=> @t3124 (=> @t3116 @t3126))))) % 47.01/47.29 (assume @p2207 (forall @t3132 (=> @t3110 (=> @t1768 (=> @t98 (=> @t3131 (=> @t3130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3129) @t3128))))))))) % 47.01/47.29 (assume @p2208 (forall @t3132 (=> @t3110 (=> @t1768 (=> @t724 (=> @t3131 (=> @t3130 @t3133))))))) % 47.01/47.29 (assume @p2209 (forall @t3132 (=> @t3110 (=> @t3117 (=> @t98 (=> @t3131 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2038) @t101)) @t3133))))))) % 47.01/47.29 (assume @p2210 (forall @t100 (=> @t3110 (=> @t1768 (=> @t3112 @t3126))))) % 47.01/47.29 (assume @p2211 (forall @t100 (=> @t3110 (=> @t1768 (=> @t3116 @t3123))))) % 47.01/47.29 (assume @p2212 (forall @t1232 (=> @t3101 (= @t3136 (and (=> @t1698 @t3135) (=> @t3098 (and (=> @t1697 @t3134) (=> @t3096 @t1353)))))))) % 47.01/47.29 (assume @p2213 (forall @t3104 (=> @t3101 (= @t3138 (and (=> @t1698 @t3134) (=> @t3098 (and (=> @t1697 @t3135) (=> @t3096 @t1352)))))))) % 47.01/47.29 (assume @p2214 (forall @t1254 (=> @t2896 (=> @t1698 (= @t3136 @t3135))))) % 47.01/47.29 (assume @p2215 (forall @t3018 (=> @t2896 (=> @t1698 (= @t3138 @t3134))))) % 47.01/47.29 (assume @p2216 (forall @t106 (=> @t3110 (=> @t3116 (=> (tptp.hBOOL (tptp.hAPP @t713 @t3140)) (tptp.hBOOL (tptp.hAPP @t3114 @t101))))))) % 47.01/47.29 (assume @p2217 (forall @t1015 (=> @t3110 (=> @t3116 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3140) @t75)) (tptp.hBOOL (tptp.hAPP @t742 @t3106))))))) % 47.01/47.29 (assume @p2218 (forall @t1254 (=> @t2896 (=> @t1697 (= @t3136 @t3134))))) % 47.01/47.29 (assume @p2219 (forall @t3018 (=> @t2896 (=> @t1697 (= @t3138 @t3135))))) % 47.01/47.29 (assume @p2220 (forall @t120 (=> @t3110 (=> @t730 (=> @t1712 @t3144))))) % 47.01/47.29 (assume @p2221 (forall @t125 (=> @t3110 (=> @t732 (=> @t1715 @t3144))))) % 47.01/47.29 (assume @p2222 (forall @t3151 (=> @t3053 (=> @t3150 (=> @t3149 (= (tptp.hAPP @t3148 @t3147) (tptp.hAPP (tptp.hAPP @t2978 (tptp.hAPP (tptp.hAPP @t1213 @t1605) @t3146)) @t3145))))))) % 47.01/47.29 (assume @p2223 (forall @t3153 (=> @t3053 (=> @t3149 (= (tptp.hAPP (tptp.hAPP @t1213 @t3129) @t95) (tptp.hAPP @t3152 @t101)))))) % 47.01/47.29 (assume @p2224 (forall @t106 (=> @t3072 (=> @t3150 (= (tptp.hAPP @t3148 @t101) @t3154))))) % 47.01/47.29 (assume @p2225 (forall @t3153 (=> @t3053 (=> @t3149 (= (tptp.hAPP @t2711 @t3156) (tptp.hAPP (tptp.hAPP @t2978 (tptp.hAPP (tptp.hAPP @t1213 @t3155) @t95)) @t101)))))) % 47.01/47.29 (assume @p2226 (forall @t1015 (=> @t3072 (=> @t3150 (= (tptp.hAPP @t3157 @t3106) @t3154))))) % 47.01/47.29 (assume @p2227 (forall @t3153 (=> @t3053 (=> @t3149 (= (tptp.hAPP @t2714 @t3156) (tptp.hAPP (tptp.hAPP @t2978 (tptp.hAPP (tptp.hAPP @t637 @t3155) @t95)) @t101)))))) % 47.01/47.29 (assume @p2228 (forall @t3153 (=> @t3053 (=> @t3149 (= (tptp.hAPP (tptp.hAPP @t637 @t3129) @t95) (tptp.hAPP (tptp.hAPP @t2978 (tptp.hAPP @t2714 @t3140)) @t101)))))) % 47.01/47.29 (assume @p2229 (forall @t3151 (=> @t3053 (=> @t3150 (=> @t3149 (= (tptp.hAPP (tptp.hAPP @t637 @t3106) @t3147) (tptp.hAPP (tptp.hAPP @t2978 (tptp.hAPP (tptp.hAPP @t637 @t1605) @t3146)) @t3145))))))) % 47.01/47.29 (assume @p2230 (forall @t155 (=> @t3110 (=> @t732 (tptp.hBOOL (tptp.hAPP @t731 @t3158)))))) % 47.01/47.29 (assume @p2231 (forall @t155 (=> @t3110 (=> @t732 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3158) @t116)))))) % 47.01/47.29 (assume @p2232 (forall @t108 (=> @t3108 (=> @t3116 (= (tptp.hAPP (tptp.hAPP @t2978 @t3159) @t95) (tptp.hAPP @t2299 @t3106)))))) % 47.01/47.29 (assume @p2233 (forall @t125 (=> @t3108 (=> @t123 (=> @t1692 @t3160))))) % 47.01/47.29 (assume @p2234 (forall @t120 (=> @t3110 (=> @t119 (=> @t1347 @t3160))))) % 47.01/47.29 (assume @p2235 (forall @t3018 (=> @t2896 (=> @t1697 (= @t3103 @t3099))))) % 47.01/47.29 (assume @p2236 (forall @t1254 (=> @t2896 (=> @t1697 (= @t3100 @t3097))))) % 47.01/47.29 (assume @p2237 (forall @t1015 (=> @t3110 (=> @t3116 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3140) @t75)) (tptp.hBOOL (tptp.hAPP @t102 @t3106))))))) % 47.01/47.29 (assume @p2238 (forall @t106 (=> @t3110 (=> @t3116 (=> (tptp.hBOOL (tptp.hAPP @t78 @t3140)) (tptp.hBOOL (tptp.hAPP @t3125 @t101))))))) % 47.01/47.29 (assume @p2239 (forall @t769 (=> @t2282 (= (tptp.hAPP (tptp.hAPP @t2856 @t2) @t51) (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t2858 @t2281) @t51)))))) % 47.01/47.29 (assume @p2240 (forall @t945 (=> @t2968 (=> @t928 (=> @t943 (=> (forall @t7 (=> @t1442 (not @t1155))) (= (tptp.hAPP @t2904 @t57) (tptp.hAPP (tptp.hAPP @t2966 (tptp.hAPP (tptp.hAPP @t1537 @t2905) @t3161)) (tptp.hAPP @t2904 @t964))))))))) % 47.01/47.30 (assume @p2241 (forall @t594 (=> @t3077 (= @t3032 (tptp.c_Power_Opower_Opower @t15 @t1459 @t1590))))) % 47.01/47.30 (assume @p2242 (forall @t3164 (=> @t909 (=> @t2084 (= (tptp.hAPP (tptp.hAPP @t3163 (tptp.hAPP @t3162 @t488)) @t558) (tptp.hAPP @t3162 (tptp.hAPP @t646 @t904))))))) % 47.01/47.30 (assume @p2243 (forall @t159 (=> @t3167 (= (tptp.hAPP @t3166 @t636) @t636)))) % 47.01/47.30 (assume @p2244 (forall @t159 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t3165 @t636) @t112) @t636)))) % 47.01/47.30 (assume @p2245 (forall @t159 (=> @t3167 (= (tptp.hAPP @t3166 @t1456) @t112)))) % 47.01/47.30 (assume @p2246 (forall @t487 (=> @t2276 (=> @t2275 (tptp.c_Nat__Transfer_Ois__nat @t3169))))) % 47.01/47.30 (assume @p2247 (forall @t3170 (= (tptp.hAPP (tptp.hAPP @t3163 @t1870) @t116) @t1870))) % 47.01/47.30 (assume @p2248 (forall @t3177 (= @t3176 @t3173))) % 47.01/47.30 (assume @p2249 (forall @t3177 (= (tptp.hAPP @t3172 @t3174) @t3178))) % 47.01/47.30 (assume @p2250 (forall @t487 (=> @t2153 (=> @t2152 (tptp.hBOOL (tptp.hAPP @t2025 @t3169)))))) % 47.01/47.30 (assume @p2251 (forall @t3177 (=> @t3181 (=> @t3179 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3178) @t1870)))))) % 47.01/47.30 (assume @p2252 (forall @t3187 (=> @t3186 (= @t3184 (tptp.hBOOL (tptp.hAPP @t1919 @t290)))))) % 47.01/47.30 (assume @p2253 (forall @t3187 (=> @t3190 (= @t3184 (tptp.hBOOL (tptp.hAPP @t3188 @t1870)))))) % 47.01/47.30 (assume @p2254 (forall @t481 (=> @t3192 (= (tptp.hAPP @t3175 @t112) @t1877)))) % 47.01/47.30 (assume @p2255 (forall @t1244 (=> @t3167 (and (=> @t3019 (= @t3194 @t636)) @t3195)))) % 47.01/47.30 (assume @p2256 (forall @t733 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t1577) @t116) @t112))))) % 47.01/47.30 (assume @p2257 (forall @t733 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t1575) @t116) @t112))))) % 47.01/47.30 (assume @p2258 (forall @t1244 (=> @t3167 (=> @t3020 (= (tptp.hAPP (tptp.hAPP @t3165 @t1603) @t1582) @t3193))))) % 47.01/47.30 (assume @p2259 (forall @t1244 (=> @t3167 @t3195))) % 47.01/47.30 (assume @p2260 (forall @t159 (=> @t3167 (=> @t1588 (= (tptp.hAPP @t3166 @t112) @t1456))))) % 47.01/47.30 (assume @p2261 (forall @t3201 (=> @t3200 (=> @t3198 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3197) @t3178)))))) % 47.01/47.30 (assume @p2262 (forall @t3201 (=> @t3200 (=> @t3179 (tptp.hBOOL (tptp.hAPP @t3202 @t3197)))))) % 47.01/47.30 (assume @p2263 (forall @t3177 (=> @t3205 (=> @t3204 @t3203)))) % 47.01/47.30 (assume @p2264 (forall @t3207 (=> @t3181 (=> @t2111 (=> @t2128 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3206) @t3178))))))) % 47.01/47.30 (assume @p2265 (forall @t3177 (=> @t3205 (=> @t3179 @t3208)))) % 47.01/47.30 (assume @p2266 (forall @t3187 (=> @t3186 (= @t3209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t290) @t1870)))))) % 47.01/47.30 (assume @p2267 (forall @t3177 (=> @t3211 (=> @t3210 @t3203)))) % 47.01/47.30 (assume @p2268 (forall @t3177 (=> @t3211 (=> @t3198 @t3208)))) % 47.01/47.30 (assume @p2269 (forall @t3207 (=> @t3211 (=> @t2111 (=> @t2128 (tptp.hBOOL (tptp.hAPP @t3202 @t3206))))))) % 47.01/47.30 (assume @p2270 (forall @t3214 (=> @t3213 (= (tptp.hBOOL (tptp.hAPP @t1919 @t3183)) (and (tptp.hBOOL (tptp.hAPP @t3212 @t290)) @t3190))))) % 47.01/47.30 (assume @p2271 (forall (@list @t1144 @t469) (=> @t3216 (= (tptp.hBOOL (tptp.hAPP @t1919 @t3215)) (tptp.hBOOL (tptp.hAPP @t2337 @t1144)))))) % 47.01/47.30 (assume @p2272 (forall @t3187 (=> @t3190 (= @t3209 @t3213)))) % 47.01/47.30 (assume @p2273 (forall (@list @t469 @t1144) (= (= @t3215 @t1870) (or @t3217 (and (tptp.hBOOL (tptp.hAPP @t2025 @t1144)) (tptp.hBOOL (tptp.hAPP @t2255 @t469))) (and @t2227 (tptp.hBOOL (tptp.hAPP @t2044 @t1144))))))) % 47.01/47.30 (assume @p2274 (forall (@list @t558 @t75) (=> (tptp.hBOOL (tptp.hAPP @t1919 @t75)) (=> (tptp.hBOOL (tptp.hAPP @t2263 @t558)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.hAPP @t3168 @t558)) @t75)))))) % 47.01/47.30 (assume @p2275 (forall @t3220 (=> @t3219 (= (tptp.hAPP @t3175 @t3218) (tptp.hAPP (tptp.hAPP @t3163 @t3178) @t113))))) % 47.01/47.30 (assume @p2276 (forall (@list @t290 @t3222 @t3221 @t15) (= (tptp.hAPP @t3223 @t520) @t3221))) % 47.01/47.30 (assume @p2277 (forall (@list @t260 @t290 @t3222 @t3221 @t15) (= (tptp.hAPP @t3223 @t261) (tptp.hAPP (tptp.hAPP @t3222 @t290) (tptp.hAPP @t3223 @t260))))) % 47.01/47.30 (assume @p2278 (forall @t120 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t3225) @t116) @t3224))))) % 47.01/47.30 (assume @p2279 (forall @t120 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t3226) @t116) @t3224))))) % 47.01/47.30 (assume @p2280 (forall @t733 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t1221) @t116) @t3227))))) % 47.01/47.30 (assume @p2281 (forall @t733 (=> @t3167 (=> @t1587 (= (tptp.hAPP (tptp.hAPP @t3165 @t1217) @t116) @t3227))))) % 47.01/47.30 (assume @p2282 (forall (@list @t3231 @t95 @t3228 @t3229) (=> (= @t3229 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t3235 @t95)) @t3231)) (=> (and (=> @t3233 (and (tptp.hBOOL (tptp.hAPP @t2025 @t3231)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3231) @t3228)))) (=> @t3234 (and (tptp.hBOOL (tptp.hAPP @t3232 @t3231)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3231) @t1870))))) (=> @t3230 (= (tptp.hAPP (tptp.hAPP @t3163 @t3229) @t3228) @t95)))))) % 47.01/47.30 (assume @p2283 (forall @t3242 (= (tptp.hBOOL @t3241) (and (=> @t3217 @t1998) (=> @t3216 (forall @t952 (=> (exists @t902 @t3240) @t1534))) (=> @t3239 (forall @t952 (=> (exists @t902 @t3237) @t1534))))))) % 47.01/47.30 (assume @p2284 (forall @t3249 (and (=> @t3246 (= @t3245 @t3248)) (=> @t3247 (= @t3245 (tptp.hAPP @t2970 (tptp.hAPP @t3244 @t3243))))))) % 47.01/47.30 (assume @p2285 (forall @t3254 (=> @t1977 (and (=> @t3252 (= @t3251 (tptp.hAPP @t2864 (tptp.hAPP @t1920 (tptp.hAPP tptp.c_Int_Onat @t3253))))) (=> (not @t3252) (= @t3251 (tptp.hAPP @t1920 (tptp.hAPP tptp.c_Int_Onat @t558)))))))) % 47.01/47.30 (assume @p2286 (forall @t3255 (=> (tptp.hBOOL (tptp.hAPP @t2048 @t1870)) (exists @t432 (= @t75 (tptp.hAPP @t2970 @t1880)))))) % 47.01/47.30 (assume @p2287 (forall @t1161 (=> @t1545 (=> @t1160 (=> @t1159 (=> @t2969 (= @t2960 @t2959))))))) % 47.01/47.30 (assume @p2288 (forall @t911 (= (tptp.hAPP @t3257 @t3260) (tptp.hAPP (tptp.hAPP @t3256 @t3258) @t113)))) % 47.01/47.30 (assume @p2289 (forall @t651 (=> @t491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t3262 @t558)) (tptp.hAPP @t3261 @t558)))))) % 47.01/47.30 (assume @p2290 (forall @t494 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t3263) @t488)))) % 47.01/47.30 (assume @p2291 (forall @t3267 (=> @t1528 (= (= @t3266 @t3265) @t2036)))) % 47.01/47.30 (assume @p2292 (forall @t483 (= (tptp.hAPP @t3268 @t1889) @t1889))) % 47.01/47.30 (assume @p2293 (forall @t588 (= (tptp.hAPP @t3262 @t904) @t488))) % 47.01/47.30 (assume @p2294 (forall @t494 @t3269)) % 47.01/47.30 (assume @p2295 (forall @t662 (and (=> @t3272 (= @t3270 @t520)) (=> (not @t3272) @t3271)))) % 47.01/47.30 (assume @p2296 (forall @t3177 (= (tptp.hAPP @t1871 @t3258) (tptp.hAPP (tptp.hAPP @t3163 @t3274) @t3273)))) % 47.01/47.30 (assume @p2297 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t3163 @t2139) @t2138) (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t3256 @t75) @t95))))) % 47.01/47.30 (assume @p2298 (forall @t1458 (=> @t1977 (= (tptp.hAPP @t3250 @t1870) @t636)))) % 47.01/47.30 (assume @p2299 (forall @t3275 (=> @t1528 (= (= @t624 @t3265) @t2322)))) % 47.01/47.30 (assume @p2300 (forall @t3275 (=> @t1528 (= (= @t3265 @t624) @t2322)))) % 47.01/47.30 (assume @p2301 (forall @t3267 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3266) @t3265)) @t2024)))) % 47.01/47.30 (assume @p2302 (forall @t3267 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3266) @t3265)) @t1884)))) % 47.01/47.30 (assume @p2303 (forall @t3278 (=> @t1977 (= (tptp.hAPP @t3250 @t2068) (tptp.hAPP (tptp.hAPP @t1213 @t3277) @t3276))))) % 47.01/47.30 (assume @p2304 (forall @t3278 (=> @t1977 (= (tptp.hAPP @t3250 @t2095) (tptp.hAPP (tptp.hAPP @t1559 @t3277) @t3276))))) % 47.01/47.30 (assume @p2305 (forall @t1458 (=> @t1977 (= (tptp.hAPP @t3250 @t1877) @t1456)))) % 47.01/47.30 (assume @p2306 (forall @t3278 (=> @t1977 (= (tptp.hAPP @t3250 (tptp.hAPP (tptp.hAPP @t1924 @t2038) @t101)) (tptp.hAPP (tptp.hAPP @t637 @t3277) @t3276))))) % 47.01/47.30 (assume @p2307 (forall @t1923 (=> @t1977 (= (tptp.hAPP @t3250 @t1889) @t1922)))) % 47.01/47.30 (assume @p2308 (forall @t3279 (=> @t1977 (= (tptp.hAPP @t3250 @t2976) (tptp.hAPP @t2864 @t3276))))) % 47.01/47.30 (assume @p2309 (forall @t3275 (=> @t1517 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t3265) @t1501))))) % 47.01/47.30 (assume @p2310 (forall (@list @t369 @t101 @t76) (=> @t1977 (= (tptp.hAPP @t3250 @t3006) (tptp.hAPP (tptp.hAPP @t2984 @t3276) @t369))))) % 47.01/47.30 (assume @p2311 (forall @t651 (=> @t909 (=> @t491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t3280 @t369)) (tptp.hAPP @t3280 @t488))))))) % 47.01/47.30 (assume @p2312 (forall @t662 (=> @t1740 @t3271))) % 47.01/47.30 (assume @p2313 (forall @t672 (=> @t852 (= (tptp.hAPP (tptp.hAPP @t3256 @t1744) @t369) @t488)))) % 47.01/47.30 (assume @p2314 (forall @t672 (=> @t852 (= (tptp.hAPP (tptp.hAPP @t3256 @t1778) @t369) @t488)))) % 47.01/47.30 (assume @p2315 (forall @t672 (=> @t3282 (=> @t909 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t3263) @t488)))))) % 47.01/47.30 (assume @p2316 (forall @t406 (=> @t1517 (= (tptp.hAPP @t3264 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t71 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t826 @t3283) @t51))))) % 47.01/47.30 (assume @p2317 (forall @t406 (=> (and @t2247 @t1517) (= (tptp.hAPP @t3264 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t71 tptp.tc_Int_Oint) @t2) @t51)) (tptp.hAPP (tptp.hAPP @t2878 @t3283) @t51))))) % 47.01/47.30 (assume @p2318 (forall @t672 (=> @t852 @t3286))) % 47.01/47.30 (assume @p2319 (forall @t672 (=> @t852 (and @t3269 @t3286)))) % 47.01/47.30 (assume @p2320 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t3256 @t260) @t469))) (and (=> @t1447 @t604) (=> @t3290 (forall @t3289 (=> @t3288 (=> @t3287 @t1534)))))))) % 47.01/47.30 (assume @p2321 (forall @t487 (=> @t2153 (= @t3292 @t3291)))) % 47.01/47.30 (assume @p2322 (forall @t487 (=> @t2153 (=> @t2152 (= @t3291 @t3292))))) % 47.01/47.30 (assume @p2323 (forall @t3275 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3265) @t624)) (tptp.hBOOL (tptp.hAPP @t2049 @t1870)))))) % 47.01/47.30 (assume @p2324 (forall @t3275 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t1335 @t3265)) @t2216)))) % 47.01/47.30 (assume @p2325 (forall @t3275 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3265) @t624)) @t2031)))) % 47.01/47.30 (assume @p2326 (forall @t3275 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3265)) @t2041)))) % 47.01/47.30 (assume @p2327 (forall @t3279 (=> @t1977 (=> @t2034 (= (tptp.hAPP @t1920 @t2230) @t3276))))) % 47.01/47.30 (assume @p2328 (forall @t672 (=> @t852 (=> @t556 @t3285)))) % 47.01/47.30 (assume @p2329 (forall (@list @t496 @t3294 @t260) (=> @t855 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t1626 @t3294)) @t496)) (tptp.hBOOL (tptp.hAPP @t859 (tptp.hAPP @t1626 (tptp.hAPP tptp.c_Nat_OSuc @t3294))))) (= @t3294 @t3293))))) % 47.01/47.30 (assume @p2330 (forall (@list @t260 @t496 @t35) (= (tptp.hBOOL (tptp.hAPP @t35 @t3293)) (or (and @t554 @t604) (exists @t3296 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t1626 @t3295)) @t496)) (tptp.hBOOL (tptp.hAPP @t859 (tptp.hAPP @t1626 (tptp.hAPP tptp.c_Nat_OSuc @t3295)))) (tptp.hBOOL (tptp.hAPP @t35 @t3295)))))))) % 47.01/47.30 (assume @p2331 (forall @t487 (= (tptp.c_Nitpick_Onat__lcm @t75 @t95) (tptp.hAPP (tptp.hAPP @t3256 @t2137) @t3297)))) % 47.01/47.30 (assume @p2332 (forall @t100 (=> @t3108 (=> (forall @t2443 (=> (tptp.hBOOL (tptp.hAPP @t1355 @t2441)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t2441) @t1456)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP (tptp.hAPP @t1559 @t2441) @t75)) @t95))))) @t98)))) % 47.01/47.30 (assume @p2333 (forall @t2329 (=> @t2248 (=> @t61 (=> @t2267 (=> @t2328 (= @t2922 (tptp.hAPP (tptp.hAPP @t2901 @t1) @t48)))))))) % 47.01/47.30 (assume @p2334 (forall @t3301 (=> @t3216 (= @t3300 (forall @t3289 (=> @t3240 @t3298)))))) % 47.01/47.30 (assume @p2335 (forall @t3303 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2990 @t3302) @t95) @t488) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2992 @t488)))) % 47.01/47.30 (assume @p2336 (forall @t155 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t3304 @t116) @t3304)))) % 47.01/47.30 (assume @p2337 (forall @t3311 (=> @t3310 (=> @t3309 (=> @t3307 (= @t3305 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP (tptp.hAPP @t637 @t3196) @t2110) @t113))))))) % 47.01/47.30 (assume @p2338 (forall @t125 (=> @t3310 (= @t3305 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3312 @t3306) @t113))))) % 47.01/47.30 (assume @p2339 (forall @t125 (=> @t3310 (= @t3305 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3312 @t116) @t113))))) % 47.01/47.30 (assume @p2340 (forall @t125 (=> @t3310 (= @t3305 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t638 @t3306) @t113))))) % 47.01/47.30 (assume @p2341 (forall @t125 (=> @t3167 (= @t3313 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t1576 @t3306) @t113))))) % 47.01/47.30 (assume @p2342 (forall @t125 (=> @t3167 (= @t3313 @t3315)))) % 47.01/47.30 (assume @p2343 (forall @t125 (=> @t3167 (= @t3313 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3314 @t3306) @t113))))) % 47.01/47.30 (assume @p2344 (forall @t1244 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1689 @t1688) (tptp.hAPP @t1687 @t3304))))) % 47.01/47.30 (assume @p2345 (forall @t1247 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1603 @t1582) (tptp.hAPP (tptp.hAPP @t1559 @t3304) @t113))))) % 47.01/47.30 (assume @p2346 (forall @t1247 (=> @t3167 (= @t3315 @t3313)))) % 47.01/47.30 (assume @p2347 (forall @t3311 (=> @t3167 (=> @t3309 (=> @t3307 (= @t3313 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP (tptp.hAPP @t1559 @t3196) @t2110) @t113))))))) % 47.01/47.30 (assume @p2348 (forall @t155 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1221 @t116) @t3304)))) % 47.01/47.30 (assume @p2349 (forall @t733 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1217 @t116) @t3304)))) % 47.01/47.30 (assume @p2350 (forall @t125 (=> @t3167 (= @t3317 @t3316)))) % 47.01/47.30 (assume @p2351 (forall @t125 (=> @t3167 (= @t3317 @t3319)))) % 47.01/47.30 (assume @p2352 (forall @t125 (=> @t3167 (= @t3317 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t3318 @t3306) @t113))))) % 47.01/47.30 (assume @p2353 (forall @t125 (=> @t3167 (= @t3316 @t3317)))) % 47.01/47.30 (assume @p2354 (forall @t1247 (=> @t3167 (= @t3319 @t3317)))) % 47.01/47.30 (assume @p2355 (forall @t3311 (=> @t3167 (=> @t3309 (=> @t3307 (= @t3317 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP (tptp.hAPP @t1213 @t3196) @t2110) @t113))))))) % 47.01/47.30 (assume @p2356 (forall @t159 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t112 @t112) @t636)))) % 47.01/47.30 (assume @p2357 (forall @t159 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t112 @t636) @t112)))) % 47.01/47.30 (assume @p2358 (forall @t159 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t636 @t112) @t636)))) % 47.01/47.30 (assume @p2359 (forall @t3170 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1870 @t116) @t1870))) % 47.01/47.30 (assume @p2360 (forall @t481 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t112) @t1870))) % 47.01/47.30 (assume @p2361 (forall @t911 (= @t3324 @t3322))) % 47.01/47.30 (assume @p2362 (forall @t911 (= @t3322 @t3324))) % 47.01/47.30 (assume @p2363 (forall @t3303 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1924 @t3302) @t95) @t488) @t3325))) % 47.01/47.30 (assume @p2364 (forall (@list @t488 @t95 @t75) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2197 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t95 @t488)) @t488) @t3325))) % 47.01/47.30 (assume @p2365 (forall @t487 (=> @t2276 (=> @t2275 (tptp.c_Nat__Transfer_Ois__nat @t3326))))) % 47.01/47.30 (assume @p2366 (forall @t3177 (= @t3328 (tptp.hAPP @t2970 @t3327)))) % 47.01/47.30 (assume @p2367 (forall @t155 (=> @t3310 (= @t3329 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t2864 @t3304) @t116))))) % 47.01/47.30 (assume @p2368 (forall @t3177 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3171 @t3174) (tptp.hAPP @t2970 @t3330)))) % 47.01/47.30 (assume @p2369 (forall (@list @t488 @t75) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2970 @t3302) @t488) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t2970 @t75) @t488)))) % 47.01/47.30 (assume @p2370 (forall (@list @t3196 @t116 @t112 @t76) (=> @t3310 (=> (= @t3304 (tptp.c_Divides_Odiv__class_Omod @t76 @t3196 @t116)) (= @t3329 (tptp.c_Divides_Odiv__class_Omod @t76 (tptp.hAPP @t2864 @t3196) @t116)))))) % 47.01/47.30 (assume @p2371 (forall @t155 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1577 @t116) @t636)))) % 47.01/47.30 (assume @p2372 (forall @t733 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t1575 @t116) @t636)))) % 47.01/47.30 (assume @p2373 (forall @t125 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t3226 @t116) @t3304)))) % 47.01/47.30 (assume @p2374 (forall @t1247 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t3225 @t116) @t3304)))) % 47.01/47.30 (assume @p2375 (forall @t159 (=> @t3167 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t112 @t1456) @t636)))) % 47.01/47.30 (assume @p2376 (forall @t155 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t3165 @t3304) @t116) @t636)))) % 47.01/47.30 (assume @p2377 (forall @t3164 (=> (tptp.hBOOL (tptp.hAPP @t2025 @t488)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t488 @t558)) @t488))))) % 47.01/47.30 (assume @p2378 (forall @t487 (=> @t2153 (=> @t2152 (tptp.hBOOL (tptp.hAPP @t2025 @t3326)))))) % 47.01/47.30 (assume @p2379 (forall @t3332 (=> @t3198 @t3331))) % 47.01/47.30 (assume @p2380 (forall @t3332 (=> @t3179 @t3333))) % 47.01/47.30 (assume @p2381 (forall @t3334 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t496 @t345) @t1870) (exists @t3296 (= @t496 (tptp.hAPP (tptp.hAPP @t1891 @t345) @t3295)))))) % 47.01/47.30 (assume @p2382 (forall @t3338 (=> (not (= @t3337 @t1870)) @t3336))) % 47.01/47.30 (assume @p2383 (forall @t3338 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3253 @t666) @t1870)) @t3336))) % 47.01/47.30 (assume @p2384 (forall @t481 (and (= (tptp.hAPP @t3175 @t1870) @t1870) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t1870) @t112)))) % 47.01/47.30 (assume @p2385 (forall @t3177 (= (tptp.hAPP (tptp.hAPP @t3163 @t3330) @t116) @t1870))) % 47.01/47.30 (assume @p2386 (forall @t911 (= (tptp.hAPP (tptp.hAPP @t3163 @t3342) @t113) (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t3175 @t113)) @t3340)) (tptp.hAPP (tptp.hAPP @t3163 (tptp.hAPP (tptp.hAPP @t1878 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t113)) @t3320)) @t113))))) % 47.01/47.30 (assume @p2387 (forall @t155 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t1213 @t3304) @t3343) @t112)))) % 47.01/47.30 (assume @p2388 (forall @t733 (=> @t3167 (= @t3344 @t112)))) % 47.01/47.30 (assume @p2389 (forall @t155 (=> @t3167 (= @t3345 @t112)))) % 47.01/47.30 (assume @p2390 (forall @t120 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t1213 @t3344) @t113) @t1220)))) % 47.01/47.30 (assume @p2391 (forall @t125 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t1213 @t3345) @t113) @t1220)))) % 47.01/47.30 (assume @p2392 (forall @t3177 (=> @t3205 (=> @t3204 @t3346)))) % 47.01/47.30 (assume @p2393 (forall @t3332 (=> @t3198 (and @t3347 @t3331)))) % 47.01/47.30 (assume @p2394 (forall @t3332 (=> @t3198 @t3347))) % 47.01/47.30 (assume @p2395 (forall @t3177 (=> @t3211 (=> @t3210 @t3346)))) % 47.01/47.30 (assume @p2396 (forall @t3332 (=> @t3179 (and @t3348 @t3333)))) % 47.01/47.30 (assume @p2397 (forall @t3332 (=> @t3179 @t3348))) % 47.01/47.30 (assume @p2398 (forall @t3177 (and (=> @t3349 (= @t3328 @t1870)) (=> @t3350 (= @t3328 (tptp.hAPP (tptp.hAPP @t1924 @t3330) @t116)))))) % 47.01/47.30 (assume @p2399 (forall @t3177 (and (=> @t3349 (= @t3327 @t1870)) (=> @t3350 (= @t3327 (tptp.hAPP @t3351 @t3330)))))) % 47.01/47.30 (assume @p2400 (forall @t3177 (= @t112 @t3352))) % 47.01/47.30 (assume @p2401 (forall @t911 (= (tptp.hAPP (tptp.hAPP @t3163 @t3323) @t113) (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2102 @t3340)) (tptp.hAPP (tptp.hAPP @t3163 @t3321) @t113))))) % 47.01/47.30 (assume @p2402 (forall (@list @t558 @t112 @t116) (= (tptp.hAPP (tptp.hAPP @t1878 @t3352) @t558) @t3353))) % 47.01/47.30 (assume @p2403 (forall (@list @t558 @t116 @t112) (= (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP (tptp.hAPP @t1891 @t3178) @t116)) @t3330)) @t558) @t3353))) % 47.01/47.30 (assume @p2404 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t1891 @t369) @t3356) (tptp.hAPP @t3355 @t3354)))) % 47.01/47.30 (assume @p2405 (forall @t494 (= @t3354 (tptp.hAPP @t3355 (tptp.hAPP (tptp.hAPP @t1891 @t3356) @t369))))) % 47.01/47.30 (assume @p2406 (forall @t3177 (=> @t2105 (=> @t3357 (= @t3330 @t3342))))) % 47.01/47.30 (assume @p2407 (forall (@list @t95 @t3358 @t3228 @t3229) (=> (= @t3229 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t3235 @t3358)) @t95)) (=> (and (=> @t3233 (and @t2152 (tptp.hBOOL (tptp.hAPP @t2047 @t3228)))) (=> @t3234 (and (tptp.hBOOL (tptp.hAPP @t3232 @t95)) (tptp.hBOOL (tptp.hAPP @t2195 @t1870))))) (=> @t3230 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3229 @t3228) @t95)))))) % 47.01/47.30 (assume @p2408 (forall @t3360 (=> @t3219 (=> @t2132 (=> @t2133 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3359) @t1870))))))) % 47.01/47.30 (assume @p2409 (forall @t3360 (=> @t3219 (=> @t2132 (=> @t2133 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3218) @t3359))))))) % 47.01/47.30 (assume @p2410 (forall @t3361 (=> @t3219 (=> @t2108 (=> @t2122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3359) @t3218))))))) % 47.01/47.30 (assume @p2411 (forall @t3361 (=> @t3219 (=> @t2108 (=> @t2122 (tptp.hBOOL (tptp.hAPP @t2025 @t3359))))))) % 47.01/47.30 (assume @p2412 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP @t35 @t3299)) (and (=> @t3217 @t607) (=> @t3216 (forall @t3289 (=> @t3240 @t3362))) (=> @t3239 (forall @t3289 (=> @t3237 @t3362))))))) % 47.01/47.30 (assume @p2413 (forall @t3220 (=> @t3219 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t3218) (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t2123 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3178 @t113))) @t3330))))) % 47.01/47.30 (assume @p2414 (forall @t3332 (=> @t3365 (and (=> @t3349 (= @t3173 @t3363)) (=> @t3350 (= @t3173 @t3364)))))) % 47.01/47.30 (assume @p2415 (forall @t3332 (=> @t3365 (and (=> @t3349 (= @t3176 @t3363)) (=> @t3350 (= @t3176 @t3364)))))) % 47.01/47.30 (assume @p2416 (forall @t3301 (=> @t3239 (= @t3300 (forall @t3289 (=> @t3237 @t3298)))))) % 47.01/47.30 (assume @p2417 (forall @t3249 (and (=> @t3246 (= @t3366 @t3335)) (=> @t3247 (= @t3366 @t3337))))) % 47.01/47.30 (assume @p2418 (forall @t487 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t75) @t95) (tptp.hAPP @t1871 (tptp.c_Nitpick_Onat__gcd @t2326 @t2324))))) % 47.01/47.30 (assume @p2419 (forall @t80 (=> @t3369 (and (=> @t3368 (= @t3367 @t636)) (=> (not @t3368) (and (=> @t3117 (= @t3367 @t1456)) (=> (not @t3117) (= @t3367 @t2914)))))))) % 47.01/47.30 (assume @p2420 (forall @t159 (=> @t1474 (=> @t1363 (= @t3370 @t2914))))) % 47.01/47.30 (assume @p2421 (forall @t494 (tptp.hBOOL (tptp.hAPP @t3372 @t488)))) % 47.01/47.30 (assume @p2422 (forall @t494 @t3373)) % 47.01/47.30 (assume @p2423 (forall @t494 (= @t3375 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3374 @t369)))) % 47.01/47.30 (assume @p2424 (forall @t662 (= (tptp.hAPP @t1639 @t3371) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1641 @t1640)))) % 47.01/47.30 (assume @p2425 (forall @t651 (= (tptp.hAPP (tptp.hAPP @t1625 @t3371) @t558) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1644 @t1643)))) % 47.01/47.30 (assume @p2426 (forall @t159 (=> @t1474 (= (tptp.c_Groups_Osgn__class_Osgn @t76 @t3370) @t3370)))) % 47.01/47.30 (assume @p2427 (forall @t292 (=> @t1434 (= (= @t3376 @t624) @t1261)))) % 47.01/47.30 (assume @p2428 (forall @t1458 (=> @t3369 (= (tptp.c_Groups_Osgn__class_Osgn @t76 @t636) @t636)))) % 47.01/47.30 (assume @p2429 (forall @t155 (=> @t1474 (= (tptp.c_Groups_Osgn__class_Osgn @t76 @t1577) (tptp.hAPP (tptp.hAPP @t1559 @t3370) (tptp.c_Groups_Osgn__class_Osgn @t76 @t116)))))) % 47.01/47.30 (assume @p2430 (forall @t588 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t488 @t904) @t520))) % 47.01/47.30 (assume @p2431 (forall @t494 (and (=> @t3377 (= @t3375 @t520)) (=> (not @t3377) (= @t3375 @t3374))))) % 47.01/47.30 (assume @p2432 (forall @t672 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t3371) @t369))))) % 47.01/47.30 (assume @p2433 (forall @t3334 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t496 @t345) @t520) (exists @t3296 (= @t496 (tptp.hAPP (tptp.hAPP @t1625 @t345) @t3295)))))) % 47.01/47.30 (assume @p2434 (forall @t494 (and @t3373 @t3380))) % 47.01/47.30 (assume @p2435 (forall @t494 @t3380)) % 47.01/47.30 (assume @p2436 (forall @t1391 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3381 @t369) @t3371))) % 47.01/47.30 (assume @p2437 (forall @t672 (=> @t556 @t3379))) % 47.01/47.30 (assume @p2438 (forall @t3177 (= (tptp.hAPP @t1871 @t3382) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3274 @t3273)))) % 47.01/47.30 (assume @p2439 (forall @t487 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2139 @t2138) (tptp.hAPP @t1871 @t3383)))) % 47.01/47.30 (assume @p2440 (forall @t911 (= (tptp.hAPP (tptp.hAPP @t3256 @t3386) @t113) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t3257 @t113)) @t3385)) (tptp.hAPP (tptp.hAPP @t3256 (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t112 @t113)) @t3384)) @t113))))) % 47.01/47.30 (assume @p2441 (forall @t2200 (and (=> @t3387 (= @t3297 @t75)) (=> (not @t3387) (= @t3297 (tptp.c_Nitpick_Onat__gcd @t95 @t3383)))))) % 47.01/47.30 (assume @p2442 (forall @t672 (=> @t852 (tptp.hBOOL (tptp.hAPP @t3372 @t369))))) % 47.01/47.30 (assume @p2443 (forall @t1391 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t3381) @t369) @t3375))) % 47.01/47.30 (assume @p2444 (forall @t292 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3376) @t624)) @t1353)))) % 47.01/47.30 (assume @p2445 (forall @t292 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3376)) @t1352)))) % 47.01/47.30 (assume @p2446 (forall @t911 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t112 @t3260) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t3259 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3258 @t113))) @t3382)))) % 47.01/47.30 (assume @p2447 (forall @t911 (= (tptp.hAPP (tptp.hAPP @t3256 @t3389) @t113) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t3388 @t3385)) (tptp.hAPP (tptp.hAPP @t3256 (tptp.hAPP @t3388 @t3384)) @t113))))) % 47.01/47.30 (assume @p2448 (forall @t494 (= @t3371 (tptp.hAPP @t646 @t3390)))) % 47.01/47.30 (assume @p2449 (forall @t672 (= (tptp.hAPP @t1642 @t3263) @t3391))) % 47.01/47.30 (assume @p2450 (forall @t494 (= @t3390 @t3391))) % 47.01/47.30 (assume @p2451 (forall @t80 (=> @t1474 (= (tptp.hAPP (tptp.hAPP @t1559 @t3367) @t3159) @t75)))) % 47.01/47.30 (assume @p2452 (forall @t3254 (=> @t1474 (= (tptp.hAPP @t2299 @t558) (tptp.hAPP (tptp.hAPP @t1559 @t558) (tptp.c_Groups_Osgn__class_Osgn @t76 @t558)))))) % 47.01/47.30 (assume @p2453 (forall @t3242 (= (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t260 @t469))) (and (=> @t1447 @t607) (=> @t3290 (forall @t3289 (=> @t3288 (=> @t3287 @t3362)))))))) % 47.01/47.30 (assume @p2454 (forall @t3361 (=> @t3393 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1718) @t116)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t3392) @t3260)))))) % 47.01/47.30 (assume @p2455 (forall (@list @t488 @t558) (=> (tptp.hBOOL (tptp.hAPP @t3281 @t558)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1641) @t558) @t1449)))) % 47.01/47.30 (assume @p2456 (forall @t487 (=> @t2153 (=> @t2152 (= @t3395 @t3394))))) % 47.01/47.30 (assume @p2457 (forall @t487 (=> @t2153 (=> @t2152 (= @t3394 @t3395))))) % 47.01/47.30 (assume @p2458 (forall @t159 (=> @t1474 (=> @t1359 (= @t3370 @t1456))))) % 47.01/47.30 (assume @p2459 (forall @t292 (=> @t1434 (= (= @t3376 @t1459) @t1352)))) % 47.01/47.30 (assume @p2460 (forall @t3039 (and (=> @t3399 (= @t3397 @t1870)) (=> (not @t3399) (and (=> @t3398 (= @t3397 @t1877)) (=> (not @t3398) (= @t3397 @t3396))))))) % 47.01/47.30 (assume @p2461 (forall @t292 (=> @t1434 (= (= @t3376 @t2915) @t1353)))) % 47.01/47.30 (assume @p2462 (forall @t2929 (=> @t1073 (=> @t2927 @t2928)))) % 47.01/47.30 (assume @p2463 (forall @t3405 (=> @t928 (=> @t3404 (= (tptp.hAPP @t3044 @t3401) @t1208))))) % 47.01/47.30 (assume @p2464 (forall @t170 (=> @t928 (=> (=> @t330 @t1485) @t1333)))) % 47.01/47.30 (assume @p2465 (forall (@list @t202 @t899 @t1 @t51 @t15 @t71) (=> @t1800 (=> @t928 (=> (forall @t7 (=> @t176 (= @t4 @t1190))) (= @t1799 (tptp.hAPP (tptp.hAPP @t1782 @t202) @t51))))))) % 47.01/47.30 (assume @p2466 (forall @t3406 (= (tptp.hAPP (tptp.hAPP @t3400 @t289) @t1667) @t551))) % 47.01/47.30 (assume @p2467 (forall @t3405 (= (= @t551 @t3401) @t327))) % 47.01/47.30 (assume @p2468 (forall @t3405 (= (= @t3401 @t551) @t327))) % 47.01/47.30 (assume @p2469 (forall (@list @t290 @t51 @t1667 @t15) (=> @t3404 (=> @t293 (= (tptp.hAPP (tptp.hAPP @t3400 @t614) @t1667) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t243) @t3401) (tptp.hAPP (tptp.hAPP @t3400 @t335) @t1667))))))) % 47.01/47.30 (assume @p2470 (forall @t3405 (= @t3401 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t243) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t243 @t243) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t2942 @t15) @t593) (tptp.hAPP (tptp.hAPP @t3408 @t3407) @t514))) @t551))))) % 47.01/47.30 (assume @p2471 (forall @t3411 (= @t3410 (tptp.hAPP (tptp.hAPP @t593 @t3409) @t551)))) % 47.01/47.30 (assume @p2472 (forall (@list @t1667 @t51 @t47 @t15) (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t3409) @t3401))))) % 47.01/47.30 (assume @p2473 (forall (@list @t95 @t369 @t75) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t75 @t369) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t95 @t369)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t95) @t75)) (exists @t3296 (= @t75 (tptp.hAPP @t1282 (tptp.hAPP @t1642 @t3295)))))))) % 47.01/47.30 (assume @p2474 (forall (@list @t48 @t1667 @t15 @t71) (= (tptp.hAPP @t3412 @t48) (tptp.hAPP @t2625 (tptp.hAPP (tptp.hAPP @t2744 @t3412) @t2743))))) % 47.01/47.30 (assume @p2475 (forall @t3418 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t3417) @t3416)))) % 47.01/47.30 (assume @p2476 (forall (@list @t48 @t51 @t184 @t1667 @t15 @t71) (= (tptp.hAPP @t3412 @t2589) (tptp.hAPP @t2588 @t3419)))) % 47.01/47.30 (assume @p2477 (forall (@list @t1667 @t51 @t508 @t15) (=> @t3421 (not (forall @t7 (=> (= @t508 (tptp.hAPP @t3407 @t785)) @t328)))))) % 47.01/47.30 (assume @p2478 (forall @t3422 (= (tptp.hAPP @t3413 @t377) @t289))) % 47.01/47.30 (assume @p2479 (forall (@list @t51 @t916 @t1667 @t3425 @t71 @t15) (=> @t3427 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t916) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP (tptp.c_Relation_OImage @t15 @t71 @t3425) @t916)) @t3424)))))) % 47.01/47.30 (assume @p2480 (forall (@list @t51 @t386 @t387 @t15 @t71) (= (tptp.hAPP (tptp.c_Relation_OImage @t71 @t15 (tptp.hAPP (tptp.hAPP @t3431 @t387) @t386)) @t51) (tptp.hAPP @t3428 (tptp.hAPP (tptp.c_Relation_OImage @t71 @t15 @t386) @t51))))) % 47.01/47.30 (assume @p2481 (forall (@list @t48 @t51 @t387 @t15 @t71) (= (tptp.hAPP @t3413 @t91) (tptp.hAPP @t3428 @t3414)))) % 47.01/47.30 (assume @p2482 (forall (@list @t1144 @t35 @t1796) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t2340 @t1796)) (=> @t1534 (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3432 @t1796)))))) (=> (tptp.hBOOL (tptp.hAPP @t35 @t1144)) (=> (tptp.hBOOL (tptp.hAPP @t1379 @t1796)) @t604))))) % 47.01/47.30 (assume @p2483 (forall @t385 (=> @t720 (=> @t928 (=> (forall @t2461 (=> @t3434 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t783) @t47)))) (=> @t331 @t2774)))))) % 47.01/47.30 (assume @p2484 (forall @t385 (=> @t720 (=> @t928 (=> (forall @t2461 (=> @t3434 (tptp.hBOOL (tptp.hAPP @t131 @t783)))) (=> @t331 @t2677)))))) % 47.01/47.30 (assume @p2485 (forall @t3438 (=> (tptp.hBOOL (tptp.hAPP @t822 @t3436)) (= @t3436 (tptp.hAPP tptp.c_Nat_OSuc @t3437))))) % 47.01/47.30 (assume @p2486 (forall @t3254 (=> @t3441 (= @t3440 @t3251)))) % 47.01/47.30 (assume @p2487 (forall @t3445 (=> @t3441 (= (tptp.hAPP @t3250 @t3444) @t3442)))) % 47.01/47.30 (assume @p2488 (forall (@list @t48 @t15 @t51) (=> (= @t51 @t3447) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t51) @t48))))) % 47.01/47.30 (assume @p2489 (forall (@list @t47 @t1615 @t15) (=> @t3450 (= (= @t3449 @t47) (= @t47 @t3449))))) % 47.01/47.30 (assume @p2490 (forall @t138 (=> @t3455 (= @t3453 @t129)))) % 47.01/47.30 (assume @p2491 (forall @t3445 (=> @t3441 (and (=> @t3458 @t3460) (=> @t3459 @t3457))))) % 47.01/47.30 (assume @p2492 (forall @t3445 (=> @t3441 (and (=> @t3461 @t3457) (=> (not @t3461) @t3460))))) % 47.01/47.30 (assume @p2493 (forall @t3465 (=> (and @t3450 @t720) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3463) @t3449)) (not (tptp.hBOOL (tptp.hAPP @t3464 @t3463))))))) % 47.01/47.30 (assume @p2494 (forall @t3470 (=> @t3469 (= (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP (tptp.hAPP @t1223 @t112) @t116)) @t3466) (tptp.hAPP (tptp.hAPP @t1223 @t3468) @t3467))))) % 47.01/47.30 (assume @p2495 (forall @t3474 (=> @t3469 (= (tptp.hAPP @t3471 (tptp.hAPP (tptp.hAPP @t1223 @t116) @t113)) (tptp.hAPP (tptp.hAPP @t1223 @t3473) @t3472))))) % 47.01/47.30 (assume @p2496 (forall @t3470 (=> @t3475 (= (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP (tptp.hAPP @t565 @t112) @t116)) @t3466) (tptp.hAPP (tptp.hAPP @t565 @t3468) @t3467))))) % 47.01/47.30 (assume @p2497 (forall @t3474 (=> @t3475 (= (tptp.hAPP @t3471 (tptp.hAPP (tptp.hAPP @t565 @t116) @t113)) (tptp.hAPP (tptp.hAPP @t565 @t3473) @t3472))))) % 47.01/47.30 (assume @p2498 (forall @t138 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3476 @t3451)) @t2238)))) % 47.01/47.30 (assume @p2499 (forall @t138 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3478 @t3451)) @t2252)))) % 47.01/47.30 (assume @p2500 (forall @t3484 (=> @t3483 (and (=> @t3481 (= @t3480 @t3479)) (=> @t3482 (= @t3480 @t3466)))))) % 47.01/47.30 (assume @p2501 (forall @t3484 (=> @t3483 (and (=> @t3481 (= @t3485 @t3466)) (=> @t3482 (= @t3485 @t3479)))))) % 47.01/47.30 (assume @p2502 (forall @t3492 (=> @t3441 (= @t3491 @t3488)))) % 47.01/47.30 (assume @p2503 (forall @t3492 (=> @t3441 (= @t3488 @t3491)))) % 47.01/47.30 (assume @p2504 (forall @t3493 (=> @t3441 (= (tptp.hAPP @t3487 (tptp.hAPP (tptp.hAPP @t1213 @t3486) @t101)) (tptp.hAPP (tptp.hAPP @t1213 @t3491) @t101))))) % 47.01/47.30 (assume @p2505 (forall @t3492 (=> @t3441 (= @t3498 @t3495)))) % 47.01/47.30 (assume @p2506 (forall @t3492 (=> @t3441 (= @t3495 @t3498)))) % 47.01/47.30 (assume @p2507 (forall @t3493 (=> @t3441 (= (tptp.hAPP @t3494 (tptp.hAPP (tptp.hAPP @t1559 @t3486) @t101)) (tptp.hAPP (tptp.hAPP @t1559 @t3498) @t101))))) % 47.01/47.30 (assume @p2508 (forall @t3492 (=> @t3441 (= (tptp.hAPP @t3439 (tptp.hAPP (tptp.hAPP @t1924 @t1790) @t2038)) @t3500)))) % 47.01/47.30 (assume @p2509 (forall @t3503 (=> @t3441 (= @t3502 @t3501)))) % 47.01/47.30 (assume @p2510 (forall @t3503 (=> @t3441 (= @t3501 @t3502)))) % 47.01/47.30 (assume @p2511 (forall @t3505 (=> @t3454 (tptp.hBOOL (tptp.hAPP @t3504 @t1501))))) % 47.01/47.30 (assume @p2512 (forall @t3512 (=> @t3511 (= (= @t3510 @t290) (and (=> @t3509 (= @t294 @t3508)) @t3507))))) % 47.01/47.30 (assume @p2513 (forall @t3515 (=> @t3511 (= (= @t3011 @t3449) (and (=> @t3014 (= @t294 @t3514)) @t3513))))) % 47.01/47.30 (assume @p2514 (forall @t3516 (=> @t3511 (= (= @t3449 @t3011) (and (=> @t3014 (= @t3514 @t294)) @t3513))))) % 47.01/47.30 (assume @p2515 (forall @t3517 (=> @t3511 (= (= @t290 @t3510) (and (=> @t3509 (= @t3508 @t294)) @t3507))))) % 47.01/47.30 (assume @p2516 (forall (@list @t113 @t2038 @t1790 @t76) (=> @t3441 (= (tptp.hAPP @t3487 (tptp.hAPP (tptp.hAPP @t637 @t3486) @t113)) (tptp.hAPP (tptp.hAPP @t637 @t3491) @t113))))) % 47.01/47.30 (assume @p2517 (forall @t3278 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t1559 @t3502) @t101) (tptp.hAPP (tptp.hAPP @t1559 @t3501) @t101))))) % 47.01/47.30 (assume @p2518 (forall @t3492 (=> @t3441 (= @t3500 @t3519)))) % 47.01/47.30 (assume @p2519 (forall @t3512 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t3510) @t290)) (and (=> @t3523 @t3525) (=> @t3524 (and (=> @t3520 @t3522) (=> @t3521 @t1352)))))))) % 47.01/47.30 (assume @p2520 (forall @t3515 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t3137 @t3449)) (and (=> @t1698 @t3528) (=> @t3098 (and (=> @t1697 @t3527) (=> @t3096 @t3523)))))))) % 47.01/47.30 (assume @p2521 (forall @t3516 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t3464 @t3011)) (and (=> @t1698 @t3527) (=> @t3098 (and (=> @t1697 @t3528) (=> @t3096 @t3520)))))))) % 47.01/47.30 (assume @p2522 (forall @t3517 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t761 @t3510)) (and (=> @t3523 @t3522) (=> @t3524 (and (=> @t3520 @t3525) (=> @t3521 @t1353)))))))) % 47.01/47.30 (assume @p2523 (forall @t80 (=> @t3532 (and (=> @t3531 (= @t3530 (tptp.hAPP @t2864 @t3529))) (=> (not @t3531) (= @t3530 @t3529)))))) % 47.01/47.30 (assume @p2524 (forall (@list @t2038 @t113 @t1790 @t76) (=> @t3441 (= (tptp.hAPP @t3487 (tptp.hAPP (tptp.hAPP @t637 @t113) @t3486)) (tptp.hAPP (tptp.hAPP @t1213 @t3519) @t113))))) % 47.01/47.30 (assume @p2525 (forall @t3512 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3510) @t290)) (and (=> @t3523 @t3534) (=> @t3524 (and (=> @t3520 @t3533) (=> @t3521 @t1336)))))))) % 47.01/47.30 (assume @p2526 (forall @t3515 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t3102 @t3449)) (and (=> @t1698 @t3536) (=> @t3098 (and (=> @t1697 @t3535) (=> @t3096 (tptp.hBOOL (tptp.hAPP @t1335 @t3449)))))))))) % 47.01/47.30 (assume @p2527 (forall @t3516 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t3537 @t3011)) (and (=> @t1698 @t3535) (=> @t3098 (and (=> @t1697 @t3536) (=> @t3096 (tptp.hBOOL (tptp.hAPP @t3537 @t624)))))))))) % 47.01/47.30 (assume @p2528 (forall @t3517 (=> @t3526 (= (tptp.hBOOL (tptp.hAPP @t626 @t3510)) (and (=> @t3523 @t3533) (=> @t3524 (and (=> @t3520 @t3534) (=> @t3521 @t1337)))))))) % 47.01/47.30 (assume @p2529 (forall @t3544 (and (=> @t3542 (= @t3541 @t904)) (=> @t3543 (= @t3541 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1877 @t3539))))))) % 47.01/47.30 (assume @p2530 (forall @t3544 (= (tptp.hAPP (tptp.hAPP @t3256 @t904) @t3540) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3545 @t3539))))) % 47.01/47.30 (assume @p2531 (forall (@list @t3462 @t1615 @t15) (=> @t3454 (and (=> @t3551 (= @t3549 (tptp.hAPP @t3558 (tptp.hAPP (tptp.hAPP @t3555 (tptp.hAPP @t3554 (tptp.hAPP @t1590 @t3463))) @t237)))) (=> @t3552 (= @t3549 @t1459)))))) % 47.01/47.30 (assume @p2532 (forall @t3564 (and (=> @t3458 (= @t3562 (tptp.hAPP @t3563 @t3559))) (=> @t3459 (= @t3562 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3560 @t3559))))))) % 47.01/47.30 (assume @p2533 (forall @t2058 (= @t3566 (tptp.hAPP @t3443 @t2975)))) % 47.01/47.30 (assume @p2534 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3568) @t3567)) @t2045))) % 47.01/47.30 (assume @p2535 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3572 @t3570)) @t3569))) % 47.01/47.30 (assume @p2536 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3578 @t3576)) @t3575))) % 47.01/47.30 (assume @p2537 (forall @t2026 (= (tptp.hAPP @t3443 @t558) @t558))) % 47.01/47.30 (assume @p2538 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3568) @t3567)) @t3569))) % 47.01/47.30 (assume @p2539 (forall @t3581 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3443 @t3546))) @t3580))) % 47.01/47.30 (assume @p2540 (forall @t3564 (= (tptp.hAPP (tptp.hAPP @t1891 @t3444) @t3565) (tptp.hAPP @t3443 @t3497)))) % 47.01/47.30 (assume @p2541 (forall @t3564 (= (tptp.hAPP @t3582 @t3565) (tptp.hAPP @t3443 @t3490)))) % 47.01/47.30 (assume @p2542 (forall @t2046 (= (= @t3571 @t3570) @t3583))) % 47.01/47.30 (assume @p2543 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3585 @t3576)) @t3584))) % 47.01/47.30 (assume @p2544 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3586 @t3570)) @t2045))) % 47.01/47.30 (assume @p2545 (forall @t2058 (= @t3565 (tptp.hAPP @t3268 @t2038)))) % 47.01/47.30 (assume @p2546 (forall @t3581 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3546) @t1870)) @t3587))) % 47.01/47.30 (assume @p2547 (forall @t2026 (= @t3588 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP @t1879 @t558)) @t558)))) % 47.01/47.30 (assume @p2548 (forall @t3438 (= @t3436 (tptp.hAPP tptp.c_Int_Onat @t3444)))) % 47.01/47.30 (assume @p2549 (forall @t2058 (= (tptp.hAPP tptp.c_Int_Onat @t3565) @t3559))) % 47.01/47.30 (assume @p2550 (forall @t3581 (and (=> @t3580 (= @t3547 @t520)) (=> (not @t3580) (= @t3547 (tptp.hAPP @t3590 (tptp.hAPP @t2745 @t3589))))))) % 47.01/47.30 (assume @p2551 (forall @t3503 (=> @t3441 (= @t3592 (tptp.hAPP (tptp.hAPP @t1213 @t3591) @t3486))))) % 47.01/47.30 (assume @p2552 (forall @t3267 (=> @t3454 (and (=> @t3551 (= @t3594 (tptp.hAPP @t3595 (tptp.hAPP (tptp.hAPP @t3555 (tptp.hAPP @t3554 @t1979)) @t237)))) (=> @t3552 (= @t3594 @t1459)))))) % 47.01/47.30 (assume @p2553 (forall @t1885 (and (=> @t3551 (= @t3597 (tptp.hAPP @t3602 (tptp.hAPP (tptp.hAPP @t3601 (tptp.hAPP (tptp.hAPP @t3600 @t1891) (tptp.hAPP @t1891 @t202))) @t3598)))) (=> @t3552 (= @t3597 @t1877))))) % 47.01/47.30 (assume @p2554 (forall @t3564 (= (tptp.hAPP (tptp.hAPP @t1924 @t3444) @t3565) (tptp.hAPP @t3443 @t3518)))) % 47.01/47.30 (assume @p2555 (forall @t3438 (=> @t3458 @t3603))) % 47.01/47.30 (assume @p2556 (forall (@list @t3462 @t496) (= (= @t1886 @t3604) (and (= @t496 (tptp.hAPP tptp.c_Int_Onat @t3604)) (tptp.hBOOL (tptp.hAPP @t2025 @t3604)))))) % 47.01/47.30 (assume @p2557 (forall @t3611 (= (= @t3610 @t3609) (and (=> @t3608 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3606) @t1870))) (=> (not @t3608) (and (=> @t3607 (= @t3604 @t1870)) (=> (not @t3607) (= @t3462 @t3605)))))))) % 47.01/47.30 (assume @p2558 (forall @t3616 (and (=> @t3458 (= @t3615 @t3613)) (=> @t3459 (and (=> @t3542 (= @t3615 (tptp.hAPP @t3614 @t558))) (=> @t3543 (= @t3615 (tptp.hAPP (tptp.hAPP @t1274 @t3612) @t558)))))))) % 47.01/47.30 (assume @p2559 (forall @t3438 (and (=> @t3458 (= @t3617 @t1870)) (=> @t3459 (= @t3617 @t3444))))) % 47.01/47.30 (assume @p2560 (forall @t3619 (and (=> @t3458 (= @t3618 @t520)) (=> @t3459 (and (=> @t3542 (= @t3618 @t3436)) (=> @t3543 (= @t3618 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3444 @t3539))))))))) % 47.01/47.30 (assume @p2561 (forall @t3619 (and (=> @t3458 (= @t3621 @t520)) (=> @t3459 (= @t3621 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3620 @t3539))))))) % 47.01/47.30 (assume @p2562 (forall @t3623 (and (=> @t3458 (= @t3622 (tptp.hAPP @t3563 @t369))) (=> @t3459 (= @t3622 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3560 @t369))))))) % 47.01/47.30 (assume @p2563 (forall @t3623 (and (=> @t3458 (= @t3625 @t1463)) (=> @t3459 (= @t3625 (tptp.hAPP (tptp.hAPP @t1274 @t3624) @t369)))))) % 47.01/47.30 (assume @p2564 (forall (@list @t3462 @t3605) (and (=> @t3627 (= @t3626 @t3610)) (=> (not @t3627) (= @t3626 (tptp.hAPP (tptp.hAPP @t2829 (tptp.hAPP @t3443 (tptp.hAPP (tptp.hAPP @t1878 @t3462) (tptp.hAPP @t2970 @t3605)))) @t2828)))))) % 47.01/47.30 (assume @p2565 (forall @t3632 (= (tptp.hAPP @t2747 @t3610) (tptp.hAPP @t3631 (tptp.hAPP @t2827 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3628 @t2746) tptp.c_Int_Onat))))))) % 47.01/47.30 (assume @p2566 (forall @t3635 (= (tptp.hAPP (tptp.hAPP @t2719 @t3610) @t261) (tptp.hAPP @t3631 (tptp.hAPP @t2827 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3634 (tptp.hAPP (tptp.hAPP @t3633 @t2719) tptp.c_Int_Onat)) @t260))))))) % 47.01/47.30 (assume @p2567 (forall @t2026 (not (= @t3588 tptp.c_Int_OPls)))) % 47.01/47.30 (assume @p2568 (forall @t3637 (not (= tptp.c_Int_OPls @t3636)))) % 47.01/47.30 (assume @p2569 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t3638)) % 47.01/47.30 (assume @p2570 (= @t3639 tptp.c_Int_OPls)) % 47.01/47.30 (assume @p2571 (forall @t3255 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t75)) @t75))) % 47.01/47.30 (assume @p2572 (forall @t2058 (= (tptp.hAPP (tptp.hAPP @t1891 tptp.c_Int_OPls) @t2038) tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2573 (forall @t2026 (= (tptp.hAPP @t3640 @t558) @t558))) % 47.01/47.30 (assume @p2574 (forall @t2026 (= (tptp.hAPP @t2070 tptp.c_Int_OPls) @t558))) % 47.01/47.30 (assume @p2575 (not (tptp.hBOOL (tptp.hAPP @t3641 tptp.c_Int_OPls)))) % 47.01/47.30 (assume @p2576 (= tptp.c_Int_OPls @t1870)) % 47.01/47.30 (assume @p2577 (forall @t2026 (= (tptp.hAPP @t3642 tptp.c_Int_OPls) @t558))) % 47.01/47.30 (assume @p2578 (tptp.hBOOL (tptp.hAPP @t3643 tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2579 (forall @t1458 (=> @t3441 (= @t3644 @t636)))) % 47.01/47.30 (assume @p2580 (forall @t1458 (=> @t3441 (= @t636 @t3644)))) % 47.01/47.30 (assume @p2581 (forall @t159 (=> @t3441 (= (tptp.hAPP @t1219 @t3644) @t112)))) % 47.01/47.30 (assume @p2582 (forall @t159 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t1213 @t3644) @t112) @t112)))) % 47.01/47.30 (assume @p2583 (not (tptp.hBOOL (tptp.hAPP @t3641 @t1870)))) % 47.01/47.30 (assume @p2584 (= @t520 @t3645)) % 47.01/47.30 (assume @p2585 (= @t3645 @t520)) % 47.01/47.30 (assume @p2586 (= @t1870 @t3646)) % 47.01/47.30 (assume @p2587 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3643 @t3571)) @t3647))) % 47.01/47.30 (assume @p2588 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3586 tptp.c_Int_OPls)) @t3648))) % 47.01/47.30 (assume @p2589 (forall (@list @t488 @t1790) (=> (tptp.hBOOL (tptp.hAPP @t3641 @t1790)) (= (tptp.hAPP @t649 @t3436) (tptp.hAPP @t646 @t3649))))) % 47.01/47.30 (assume @p2590 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3646)))) % 47.01/47.30 (assume @p2591 (forall @t3438 (and (=> @t3651 (= @t3650 @t1449)) (=> @t3652 (= @t3650 @t3624))))) % 47.01/47.30 (assume @p2592 (forall @t3438 (and (=> @t3651 (= @t3653 @t1449)) (=> @t3652 (= @t3653 @t3624))))) % 47.01/47.30 (assume @p2593 (forall @t2046 (= @t3569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 (tptp.c_Int_Opred @t469)) @t1490))))) % 47.01/47.30 (assume @p2594 (forall @t2026 (= (tptp.hAPP @t2970 @t3588) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t3253))))) % 47.01/47.30 (assume @p2595 (forall @t2026 (= @t3654 (tptp.hAPP @t3642 @t1877)))) % 47.01/47.30 (assume @p2596 (forall @t3438 (and (=> @t3655 (= @t3437 @t520)) (=> (not @t3655) (= @t3437 @t3649))))) % 47.01/47.30 (assume @p2597 (forall @t159 (=> @t3441 (= (tptp.hAPP @t1576 @t3656) @t112)))) % 47.01/47.30 (assume @p2598 (forall @t159 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t1559 @t3656) @t112) @t112)))) % 47.01/47.30 (assume @p2599 (forall @t80 (=> @t3657 (= (tptp.hAPP @t3105 @t3644) @t636)))) % 47.01/47.30 (assume @p2600 (forall @t1458 (=> @t3441 (= @t1456 @t3656)))) % 47.01/47.30 (assume @p2601 (forall @t1458 (=> @t3441 (= @t3656 @t1456)))) % 47.01/47.30 (assume @p2602 (forall @t3660 (= (= @t520 @t3610) @t3659))) % 47.01/47.30 (assume @p2603 (forall @t3660 (= @t3661 @t3659))) % 47.01/47.30 (assume @p2604 (tptp.hBOOL (tptp.hAPP @t2025 @t3646))) % 47.01/47.30 (assume @p2605 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3641 @t3571)) @t3647))) % 47.01/47.30 (assume @p2606 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3572 tptp.c_Int_OPls)) @t3648))) % 47.01/47.30 (assume @p2607 (forall @t3611 (= (tptp.hBOOL (tptp.hAPP @t3663 @t3609)) (and (=> @t3662 (tptp.hBOOL (tptp.hAPP @t3641 @t3605))) @t3662)))) % 47.01/47.30 (assume @p2608 (forall @t159 (=> @t3664 (= (tptp.hAPP @t2980 @t3656) @t112)))) % 47.01/47.30 (assume @p2609 (forall @t80 (=> @t3664 (= (tptp.hAPP @t3105 @t3656) @t75)))) % 47.01/47.30 (assume @p2610 (forall @t3611 (= (tptp.hBOOL (tptp.hAPP @t3665 @t3609)) (=> (not (tptp.hBOOL (tptp.hAPP @t3658 @t3605))) @t3659)))) % 47.01/47.30 (assume @p2611 (= @t1877 (tptp.hAPP @t3443 @t3638))) % 47.01/47.30 (assume @p2612 (= @t1449 @t3666)) % 47.01/47.30 (assume @p2613 (= @t3666 @t1449)) % 47.01/47.30 (assume @p2614 (tptp.c_Nat__Transfer_Ois__nat @t3668)) % 47.01/47.30 (assume @p2615 (forall @t2026 (= @t3669 (tptp.hAPP @t2070 @t1877)))) % 47.01/47.30 (assume @p2616 (forall @t3670 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t1335 @t3451)) (tptp.hBOOL (tptp.hAPP @t3643 @t128)))))) % 47.01/47.30 (assume @p2617 (forall @t324 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3476 @t624)) (tptp.hBOOL (tptp.hAPP @t2237 tptp.c_Int_OPls)))))) % 47.01/47.30 (assume @p2618 (forall @t3670 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3451)) (tptp.hBOOL (tptp.hAPP @t3641 @t128)))))) % 47.01/47.30 (assume @p2619 (forall @t324 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3478 @t624)) (tptp.hBOOL (tptp.hAPP @t2251 tptp.c_Int_OPls)))))) % 47.01/47.30 (assume @p2620 (forall @t3660 (= (tptp.hBOOL (tptp.hAPP @t822 @t3610)) (tptp.hBOOL (tptp.hAPP @t3641 @t3462))))) % 47.01/47.30 (assume @p2621 (= @t3666 @t904)) % 47.01/47.30 (assume @p2622 (= @t3671 (tptp.hAPP tptp.c_Nat_OSuc @t1826))) % 47.01/47.30 (assume @p2623 (forall @t159 (=> @t1622 (= (tptp.hAPP @t3047 @t3671) (tptp.hAPP (tptp.hAPP @t1559 @t1581) @t112))))) % 47.01/47.30 (assume @p2624 (tptp.hBOOL (tptp.hAPP @t2025 @t3668))) % 47.01/47.30 (assume @p2625 (forall @t483 (= @t3675 @t3673))) % 47.01/47.30 (assume @p2626 (forall @t3619 (and (=> @t3651 (= @t3676 @t3540)) (=> @t3652 (and (=> @t3677 (= @t3676 @t3436)) (=> (not @t3677) (= @t3676 @t3612))))))) % 47.01/47.30 (assume @p2627 (= @t3668 (tptp.hAPP @t1871 @t3671))) % 47.01/47.30 (assume @p2628 (= @t3671 (tptp.hAPP tptp.c_Int_Onat @t3668))) % 47.01/47.30 (assume @p2629 (forall @t3254 (=> @t3441 (= (tptp.hAPP @t3439 @t3669) (tptp.hAPP @t1469 @t3440))))) % 47.01/47.30 (assume @p2630 (forall @t3503 (=> @t3441 (= (tptp.hAPP @t3439 (tptp.c_Int_Opred @t2038)) (tptp.hAPP (tptp.hAPP @t1213 @t2914) @t3486))))) % 47.01/47.30 (assume @p2631 (forall @t324 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3476 @t1459)) (tptp.hBOOL (tptp.hAPP @t2237 @t3638)))))) % 47.01/47.30 (assume @p2632 (forall @t3670 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t1459) @t3451)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t3638) @t128)))))) % 47.01/47.30 (assume @p2633 (forall @t324 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3478 @t1459)) (tptp.hBOOL (tptp.hAPP @t2251 @t3638)))))) % 47.01/47.30 (assume @p2634 (forall @t3670 (=> @t3477 (= (tptp.hBOOL (tptp.hAPP @t3059 @t3451)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3638) @t128)))))) % 47.01/47.30 (assume @p2635 (forall @t3445 (=> @t3441 (= (tptp.hAPP @t3487 @t1456) (tptp.hAPP @t3439 (tptp.hAPP @t3489 @t3638)))))) % 47.01/47.30 (assume @p2636 (forall @t3503 (=> @t3441 (= @t3591 (tptp.hAPP @t3439 (tptp.hAPP @t3678 @t2038)))))) % 47.01/47.30 (assume @p2637 (forall @t672 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t3645) @t369)) (= @t650 (tptp.hAPP @t646 (tptp.hAPP @t644 @t3666)))))) % 47.01/47.30 (assume @p2638 (forall @t3619 (and (=> @t3651 (= @t3681 @t520)) (=> @t3652 (= @t3681 @t3679))))) % 47.01/47.30 (assume @p2639 (forall @t3616 (and (=> @t3651 (= @t3682 @t520)) (=> @t3652 (= @t3682 (tptp.hAPP (tptp.hAPP @t1625 @t3679) @t558)))))) % 47.01/47.30 (assume @p2640 (forall @t3660 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3630)) @t3661))) % 47.01/47.30 (assume @p2641 (forall @t3686 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3685 @t3436) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3683 @t3436)))) % 47.01/47.30 (assume @p2642 (forall @t494 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3685 @t369) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3683 @t369)))) % 47.01/47.30 (assume @p2643 (forall @t494 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t488 @t3675) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t488 @t3673)))) % 47.01/47.30 (assume @p2644 (forall @t3686 (= (tptp.hAPP @t3688 @t3436) (tptp.hAPP @t3687 @t3436)))) % 47.01/47.30 (assume @p2645 (forall @t494 (= (tptp.hAPP @t3688 @t369) (tptp.hAPP @t3687 @t369)))) % 47.01/47.30 (assume @p2646 (forall @t494 (= (tptp.hAPP @t3262 @t3675) (tptp.hAPP @t3262 @t3673)))) % 47.01/47.30 (assume @p2647 (forall @t3445 (=> @t3441 (= (tptp.hAPP @t3499 @t1456) (tptp.hAPP @t3439 (tptp.hAPP @t3489 @t3689)))))) % 47.01/47.30 (assume @p2648 (forall @t3503 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t637 @t1456) @t3486) (tptp.hAPP @t3439 (tptp.hAPP @t3678 @t2975)))))) % 47.01/47.30 (assume @p2649 (forall @t3635 (= (= @t3610 @t261) @t3697))) % 47.01/47.30 (assume @p2650 (forall @t3632 (= (= @t261 @t3610) @t3697))) % 47.01/47.30 (assume @p2651 (forall @t3704 (= (tptp.c_Nat_Onat_Onat__case @t15 @t290 @t2 @t3610) (tptp.hAPP @t3703 (tptp.hAPP @t3701 @t2245))))) % 47.01/47.30 (assume @p2652 (forall @t3635 (= (tptp.hBOOL (tptp.hAPP @t3663 @t261)) (tptp.hBOOL (tptp.hAPP @t3696 (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3690 @t816) tptp.c_Int_Onat)) @t260))))))) % 47.01/47.30 (assume @p2653 (forall @t3632 (= (tptp.hBOOL (tptp.hAPP @t1787 @t3610)) (tptp.hBOOL (tptp.hAPP @t3696 (tptp.hAPP @t3695 (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t2474 @t857) tptp.c_Int_Onat)))))))) % 47.01/47.30 (assume @p2654 (forall @t3632 (= (tptp.hBOOL (tptp.hAPP @t500 @t3610)) (tptp.hBOOL (tptp.hAPP @t3696 (tptp.hAPP @t3695 (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t2474 @t497) tptp.c_Int_Onat)))))))) % 47.01/47.30 (assume @p2655 (forall @t3635 (= (tptp.hBOOL (tptp.hAPP @t3665 @t261)) (tptp.hBOOL (tptp.hAPP @t3696 (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3691 (tptp.hAPP (tptp.hAPP @t3690 @t489) tptp.c_Int_Onat)) @t260))))))) % 47.01/47.30 (assume @p2656 (forall @t3438 (and (=> @t3458 (= @t3705 @t1449)) (=> @t3459 (= @t3705 @t3624))))) % 47.01/47.30 (assume @p2657 (forall @t3632 (= (tptp.hAPP @t2800 @t3610) (tptp.hAPP @t3631 (tptp.hAPP @t3706 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3628 @t2799) tptp.c_Int_Onat))))))) % 47.01/47.30 (assume @p2658 (forall @t3635 (= (tptp.hAPP (tptp.hAPP @t2778 @t3610) @t261) (tptp.hAPP @t3631 (tptp.hAPP @t3706 (tptp.hAPP @t3629 (tptp.hAPP (tptp.hAPP @t3634 (tptp.hAPP (tptp.hAPP @t3633 @t2778) tptp.c_Int_Onat)) @t260))))))) % 47.01/47.30 (assume @p2659 (forall @t3709 (= (tptp.c_Nat_Onat_Onat__case @t15 @t290 @t2 @t3708) (tptp.hAPP @t3703 (tptp.hAPP (tptp.hAPP @t3700 (tptp.hAPP @t3699 (tptp.c_Nat_Onat_Onat__case @t15 @t290 @t2 @t260))) (tptp.hAPP @t2244 @t3707)))))) % 47.01/47.30 (assume @p2660 (forall @t3709 (= (tptp.hAPP @t3710 @t3708) (tptp.hAPP @t3703 (tptp.hAPP (tptp.hAPP @t3700 (tptp.hAPP @t3699 (tptp.hAPP @t3710 @t260))) (tptp.hAPP (tptp.hAPP @t3700 (tptp.hAPP @t3712 @t3707)) (tptp.hAPP @t3711 @t3707))))))) % 47.01/47.30 (assume @p2661 (forall @t324 (=> @t3454 (= (= @t3452 @t1459) (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 (tptp.hAPP @t3713 @t3689))))))) % 47.01/47.30 (assume @p2662 (forall @t3670 (=> @t3454 (= (= @t1459 @t3451) (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 (tptp.hAPP @t3678 @t3714))))))) % 47.01/47.30 (assume @p2663 (forall @t3704 (= (tptp.hAPP @t3710 @t3610) (tptp.hAPP @t3703 (tptp.hAPP @t3701 (tptp.hAPP (tptp.hAPP @t3700 (tptp.hAPP @t3712 tptp.c_Int_Onat)) (tptp.hAPP @t3711 tptp.c_Int_Onat))))))) % 47.01/47.30 (assume @p2664 (forall @t1458 (=> @t1926 (tptp.c_Int_Oiszero @t76 @t636)))) % 47.01/47.30 (assume @p2665 (forall @t3275 (=> @t1957 (= (tptp.c_Int_Oiszero @t15 @t202) @t3120)))) % 47.01/47.30 (assume @p2666 (forall @t1458 (=> @t1926 (not (tptp.c_Int_Oiszero @t76 @t1456))))) % 47.01/47.30 (assume @p2667 (forall @t772 (= (tptp.hAPP @t3715 @t520) @t81))) % 47.01/47.30 (assume @p2668 (forall @t774 (= (tptp.hAPP @t3715 @t486) (tptp.hAPP @t773 (tptp.hAPP @t3715 @t485))))) % 47.01/47.30 (assume @p2669 (forall @t1458 (=> @t3441 (tptp.c_Int_Oiszero @t76 @t3644)))) % 47.01/47.30 (assume @p2670 (forall @t3503 (=> (and @t3441 (tptp.class_Int_Oring__char__0 @t76)) (not (tptp.c_Int_Oiszero @t76 @t3592))))) % 47.01/47.30 (assume @p2671 (forall @t1458 (=> @t3441 (not (tptp.c_Int_Oiszero @t76 @t3656))))) % 47.01/47.30 (assume @p2672 (forall @t138 (=> @t3454 (= @t3453 (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 (tptp.hAPP @t3713 @t3714))))))) % 47.01/47.30 (assume @p2673 (forall @t3670 (=> @t3454 (= (= @t624 @t3451) (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 (tptp.hAPP @t3640 @t3714))))))) % 47.01/47.30 (assume @p2674 (forall @t324 (=> @t3454 (= (= @t3452 @t624) (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 (tptp.hAPP @t3713 @t3639))))))) % 47.01/47.30 (assume @p2675 (forall @t3177 (=> @t3205 (= @t3723 (tptp.hAPP (tptp.hAPP @t1924 (tptp.hAPP @t3719 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3716 @t112))) @t1877))))) % 47.01/47.30 (assume @p2676 (forall @t3732 (and (=> @t3729 (= @t3728 (tptp.hAPP (tptp.hAPP @t1878 @t3731) @t1877))) (=> @t3730 (= @t3728 (tptp.hAPP (tptp.hAPP @t1924 (tptp.hAPP @t3719 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3724 @t3565))) @t1877)))))) % 47.01/47.30 (assume @p2677 (forall @t1827 (= (tptp.hAPP @t3719 (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) @t3733) (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 @t3599 tptp.tc_Nat_Onat) @t1891) @t1871)) @t345))) @t1824)) (tptp.hAPP (tptp.hAPP @t1891 @t1872) (tptp.hAPP @t3733 (tptp.hAPP @t3733 (tptp.hAPP (tptp.hAPP @t1891 (tptp.hAPP @t1871 @t1821)) @t345))))))) % 47.01/47.30 (assume @p2678 (forall @t3177 (=> @t3211 (= @t3734 (tptp.hAPP @t3339 @t112))))) % 47.01/47.30 (assume @p2679 (forall @t3338 (not (= @t3588 @t3735)))) % 47.01/47.30 (assume @p2680 (forall @t3338 (not (= @t3736 @t3636)))) % 47.01/47.30 (assume @p2681 (forall @t2026 (= (tptp.hAPP @t2970 @t3736) (tptp.c_Int_OBit0 @t3253)))) % 47.01/47.30 (assume @p2682 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3739 @t3737)) @t2045))) % 47.01/47.30 (assume @p2683 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3742 @t3740)) @t3584))) % 47.01/47.30 (assume @p2684 (forall @t2026 (= @t3736 (tptp.hAPP @t2070 @t558)))) % 47.01/47.30 (assume @p2685 (forall @t3338 (= (tptp.hAPP @t3744 @t3735) (tptp.c_Int_OBit0 @t3743)))) % 47.01/47.30 (assume @p2686 (forall @t3338 (= (tptp.hAPP (tptp.hAPP @t1891 @t3736) @t666) @t3745))) % 47.01/47.30 (assume @p2687 (forall @t2046 (= (= @t3738 @t3737) @t3583))) % 47.01/47.30 (assume @p2688 (forall @t3338 (= (tptp.hAPP @t3748 @t3735) @t3747))) % 47.01/47.30 (assume @p2689 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3749 @t3740)) @t3575))) % 47.01/47.30 (assume @p2690 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3750 @t3737)) @t3569))) % 47.01/47.30 (assume @p2691 (forall @t1856 (= (= @t3738 tptp.c_Int_OPls) (= @t469 tptp.c_Int_OPls)))) % 47.01/47.30 (assume @p2692 (forall @t3751 (= (= tptp.c_Int_OPls @t3737) (= tptp.c_Int_OPls @t1490)))) % 47.01/47.30 (assume @p2693 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 47.01/47.30 (assume @p2694 (forall @t3581 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t3752) @t1870)) @t3587))) % 47.01/47.30 (assume @p2695 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3643 @t3738)) @t3647))) % 47.01/47.30 (assume @p2696 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3750 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2337 tptp.c_Int_OPls))))) % 47.01/47.30 (assume @p2697 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3750 @t3570)) @t3569))) % 47.01/47.30 (assume @p2698 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3749 @t3576)) @t3575))) % 47.01/47.30 (assume @p2699 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3739 tptp.c_Int_OPls)) @t3648))) % 47.01/47.30 (assume @p2700 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3641 @t3738)) (tptp.hBOOL (tptp.hAPP @t3641 @t469))))) % 47.01/47.30 (assume @p2701 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3585 @t3740)) @t3584))) % 47.01/47.30 (assume @p2702 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3586 @t3737)) @t2045))) % 47.01/47.30 (assume @p2703 (forall @t3338 (= (tptp.hAPP @t3744 @t3636) @t3753))) % 47.01/47.30 (assume @p2704 (forall @t3338 (= (tptp.hAPP @t3754 @t3735) @t3753))) % 47.01/47.30 (assume @p2705 (forall @t3637 (= (tptp.hAPP @t3755 @t3735) (tptp.c_Int_OBit0 (tptp.hAPP @t3755 @t666))))) % 47.01/47.30 (assume @p2706 (forall @t3338 (= (tptp.hAPP @t3756 @t3735) (tptp.c_Int_OBit1 @t3746)))) % 47.01/47.30 (assume @p2707 (forall @t3338 (= (tptp.hAPP @t3756 @t3636) @t3747))) % 47.01/47.30 (assume @p2708 (forall @t3564 (= (tptp.hAPP (tptp.hAPP @t3163 @t3758) @t3726) @t3757))) % 47.01/47.30 (assume @p2709 (forall @t3581 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t3443 @t3752))) @t3580))) % 47.01/47.30 (assume @p2710 (forall @t2026 (= (tptp.c_Int_Opred @t3736) (tptp.c_Int_OBit1 @t3654)))) % 47.01/47.30 (assume @p2711 (forall @t2026 (= (tptp.c_Int_Opred @t3588) @t3736))) % 47.01/47.30 (assume @p2712 (forall @t3505 (=> @t3455 (= (tptp.c_Int_Oiszero @t15 (tptp.hAPP @t3448 @t3752)) (tptp.c_Int_Oiszero @t15 @t3449))))) % 47.01/47.30 (assume @p2713 (forall @t2026 (= (tptp.c_Int_Osucc @t3588) (tptp.c_Int_OBit0 @t3669)))) % 47.01/47.30 (assume @p2714 (forall @t2026 (= (tptp.c_Int_Osucc @t3736) @t3588))) % 47.01/47.30 (assume @p2715 (forall @t3581 (= @t3759 (tptp.hAPP @t3590 @t3589)))) % 47.01/47.30 (assume @p2716 (forall @t3503 (=> @t3441 (= @t3760 (tptp.hAPP (tptp.hAPP @t1213 (tptp.hAPP @t1257 @t3486)) @t3486))))) % 47.01/47.30 (assume @p2717 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3739 @t3570)) @t3569))) % 47.01/47.30 (assume @p2718 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3742 @t3576)) @t3575))) % 47.01/47.30 (assume @p2719 (forall @t2046 (= (tptp.hBOOL (tptp.hAPP @t3572 @t3737)) @t2045))) % 47.01/47.30 (assume @p2720 (forall @t3579 (= (tptp.hBOOL (tptp.hAPP @t3578 @t3740)) @t3584))) % 47.01/47.30 (assume @p2721 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t517)) @t3761)) % 47.01/47.30 (assume @p2722 (forall @t3338 (= (tptp.hAPP (tptp.hAPP @t1891 @t3588) @t666) (tptp.hAPP (tptp.hAPP @t1878 @t3745) @t666)))) % 47.01/47.30 (assume @p2723 (forall @t3338 (= (tptp.hAPP @t3748 @t3636) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1924 @t3654) @t666))))) % 47.01/47.30 (assume @p2724 (forall @t3338 (= (tptp.hAPP @t3754 @t3636) (tptp.c_Int_OBit0 (tptp.hAPP @t2070 (tptp.c_Int_Osucc @t666)))))) % 47.01/47.30 (assume @p2725 (forall (@list @t1615 @t202 @t15) (=> @t3454 (= (tptp.hAPP @t3593 @t3759) (tptp.hAPP @t3595 @t3762))))) % 47.01/47.30 (assume @p2726 (forall @t2050 (= (tptp.hAPP @t3596 @t3759) (tptp.hAPP @t3602 (tptp.hAPP (tptp.hAPP @t3601 @t1891) @t3598))))) % 47.01/47.30 (assume @p2727 (forall @t3503 (=> @t3441 (= (tptp.hAPP @t1736 @t3486) @t3760)))) % 47.01/47.30 (assume @p2728 (forall @t483 (=> (tptp.hBOOL (tptp.hAPP @t2025 @t3763)) (and (tptp.hBOOL (tptp.hAPP @t2025 (tptp.hAPP @t3443 (tptp.c_Int_OBit0 @t369)))) (tptp.hBOOL (tptp.hAPP @t2025 (tptp.hAPP @t3443 (tptp.c_Int_OBit1 @t369)))))))) % 47.01/47.30 (assume @p2729 (tptp.c_Nat__Transfer_Ois__nat @t3718)) % 47.01/47.30 (assume @p2730 (forall @t3465 (=> @t3454 (= (tptp.hAPP @t3548 @t3759) (tptp.hAPP @t3558 @t3762))))) % 47.01/47.30 (assume @p2731 (forall @t3279 (=> @t3441 (= (tptp.hAPP @t3766 @t101) @t3764)))) % 47.01/47.30 (assume @p2732 (forall @t3279 (=> @t3441 (= (tptp.hAPP @t3139 @t3765) @t3764)))) % 47.01/47.30 (assume @p2733 (forall @t1458 (=> @t3441 (= @t1470 @t3765)))) % 47.01/47.30 (assume @p2734 (forall @t1458 (=> @t1926 (= (tptp.hAPP @t3079 @t3761) @t636)))) % 47.01/47.30 (assume @p2735 (forall @t292 (=> @t2916 (= (= @t3767 @t624) @t1261)))) % 47.01/47.30 (assume @p2736 (= @t3761 @t1826)) % 47.01/47.30 (assume @p2737 (= @t1826 @t3761)) % 47.01/47.30 (assume @p2738 (forall @t159 (=> @t1622 (= @t3768 @t1581)))) % 47.01/47.30 (assume @p2739 (forall @t80 (=> @t1505 (= @t1580 @t3769)))) % 47.01/47.30 (assume @p2740 (tptp.hBOOL (tptp.hAPP @t2025 @t3718))) % 47.01/47.30 (assume @p2741 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t1274 @t3761) @t369) @t3674))) % 47.01/47.30 (assume @p2742 (forall @t483 (= (tptp.hAPP @t1316 @t3761) @t3674))) % 47.01/47.30 (assume @p2743 (forall @t1458 (=> @t1926 (= (tptp.hAPP @t3070 @t3761) @t1456)))) % 47.01/47.30 (assume @p2744 (forall @t159 (=> @t1977 (= (tptp.hAPP @t3084 @t3761) @t3768)))) % 47.01/47.30 (assume @p2745 (forall @t2035 (= (tptp.hAPP (tptp.hAPP @t1625 @t101) @t3761) @t3770))) % 47.01/47.30 (assume @p2746 (forall @t2035 (= (tptp.hAPP @t3771 @t101) @t3770))) % 47.01/47.30 (assume @p2747 (forall @t3055 (=> @t1622 (= @t3774 @t3772)))) % 47.01/47.30 (assume @p2748 (= @t3718 (tptp.hAPP @t1871 @t3761))) % 47.01/47.30 (assume @p2749 (= @t3761 @t3775)) % 47.01/47.30 (assume @p2750 (forall @t159 (=> @t1474 (= (tptp.hAPP @t3073 @t3761) @t3768)))) % 47.01/47.30 (assume @p2751 (forall @t159 (=> @t1474 (= (tptp.hAPP @t2299 @t3768) @t3768)))) % 47.01/47.30 (assume @p2752 (= (tptp.hAPP @t1462 @t1449) @t3761)) % 47.01/47.30 (assume @p2753 (forall @t588 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3684 @t3761) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t488 @t3761)))) % 47.01/47.30 (assume @p2754 (forall @t588 (= (tptp.hAPP (tptp.hAPP @t3256 @t3684) @t3761) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t3262 @t3761))))) % 47.01/47.30 (assume @p2755 (forall @t3564 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3758 @t3726) @t3731))) % 47.01/47.30 (assume @p2756 (forall @t588 (= (tptp.hAPP (tptp.hAPP @t3256 (tptp.hAPP @t1275 @t488)) @t3761) @t488))) % 47.01/47.30 (assume @p2757 (forall (@list @t1718 @t76) (=> (and @t3108 @t3441) (=> (tptp.hBOOL (tptp.hAPP @t1355 @t1718)) (tptp.hBOOL (tptp.hAPP @t1355 (tptp.hAPP (tptp.hAPP @t2978 @t1718) @t3765))))))) % 47.01/47.30 (assume @p2758 (forall @t3406 (=> (and @t3101 @t3454) (= (tptp.hBOOL (tptp.hAPP @t1351 (tptp.hAPP (tptp.hAPP @t3007 @t1667) (tptp.hAPP @t3448 @t3717)))) (tptp.hBOOL (tptp.hAPP @t1351 @t1667)))))) % 47.01/47.30 (assume @p2759 (forall @t100 (=> @t1435 (=> (= @t3769 @t3776) (=> @t1768 (=> @t1767 @t107)))))) % 47.01/47.30 (assume @p2760 (forall @t100 (=> @t1435 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t3769) @t3776)) (=> @t1767 @t98))))) % 47.01/47.30 (assume @p2761 (forall @t159 (=> @t1474 (tptp.hBOOL (tptp.hAPP @t1338 @t3768))))) % 47.01/47.30 (assume @p2762 (forall @t159 (=> @t1474 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3768) @t636)))))) % 47.01/47.30 (assume @p2763 (forall @t292 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3767)) @t2316)))) % 47.01/47.30 (assume @p2764 (forall @t138 (=> @t1434 (= (= @t3777 @t624) @t1343)))) % 47.01/47.30 (assume @p2765 (forall (@list @t2038 @t15) (=> (and (tptp.class_Groups_Omonoid__mult @t15) @t3450) (= (tptp.hAPP (tptp.hAPP @t3032 @t3778) @t3761) (tptp.hAPP (tptp.hAPP @t1590 @t3778) @t3778))))) % 47.01/47.30 (assume @p2766 (forall @t483 (=> (tptp.hBOOL (tptp.hAPP @t817 @t3761)) (or @t853 (= @t369 @t904))))) % 47.01/47.30 (assume @p2767 (= @t3775 @t1826)) % 47.01/47.30 (assume @p2768 (forall @t292 (=> @t2916 (= (= @t3767 @t1459) (or (= @t290 @t1459) (= @t290 @t2915)))))) % 47.01/47.30 (assume @p2769 (forall @t3781 (=> @t1505 (= (tptp.hAPP @t2985 @t3773) @t3780)))) % 47.01/47.30 (assume @p2770 (forall @t3055 (=> @t1977 (= (tptp.hAPP @t3084 @t3773) @t3774)))) % 47.01/47.30 (assume @p2771 (forall @t100 (=> @t1435 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3769) @t3776)) (=> @t1767 @t724))))) % 47.01/47.30 (assume @p2772 (forall @t100 (=> @t1474 (tptp.hBOOL (tptp.hAPP @t1338 @t3782))))) % 47.01/47.30 (assume @p2773 (forall @t138 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t3777) @t624)) @t1343)))) % 47.01/47.30 (assume @p2774 (forall @t138 (=> @t1434 (= (tptp.hBOOL (tptp.hAPP @t1351 @t3777)) @t1765)))) % 47.01/47.30 (assume @p2775 (forall @t100 (=> @t1474 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3782) @t636)))))) % 47.01/47.30 (assume @p2776 (forall @t100 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t2984 (tptp.hAPP @t2711 @t95)) @t3761) (tptp.hAPP (tptp.hAPP @t1213 @t3782) @t3783))))) % 47.01/47.30 (assume @p2777 (forall @t3055 (=> @t1474 (tptp.hBOOL (tptp.hAPP @t1338 @t3774))))) % 47.01/47.30 (assume @p2778 (forall @t3781 (=> @t1505 (= (tptp.hAPP @t2985 @t3784) (tptp.hAPP @t1579 @t3780))))) % 47.01/47.30 (assume @p2779 (forall @t3055 (=> @t1622 (= @t3785 (tptp.hAPP @t1576 @t3772))))) % 47.01/47.30 (assume @p2780 (forall @t1923 (=> @t1977 (= (tptp.hAPP @t3094 @t3773) @t1456)))) % 47.01/47.30 (assume @p2781 (forall @t3732 (and (=> @t3729 (= @t3786 @t3757)) (=> @t3730 (= @t3786 (tptp.hAPP (tptp.hAPP @t3163 @t3724) @t3565)))))) % 47.01/47.30 (assume @p2782 (forall @t1869 (= (tptp.hBOOL (tptp.hAPP @t822 @t3787)) (= @t3787 @t1449)))) % 47.01/47.30 (assume @p2783 (forall @t483 (=> @t3282 (tptp.hBOOL (tptp.hAPP @t822 (tptp.hAPP @t3261 @t3761)))))) % 47.01/47.30 (assume @p2784 (forall @t100 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t2984 @t2912) @t3761) (tptp.hAPP (tptp.hAPP @t637 @t3782) @t3783))))) % 47.01/47.30 (assume @p2785 (forall @t3055 (=> @t1474 (=> (tptp.hBOOL (tptp.hAPP @t1338 @t3785)) @t1340)))) % 47.01/47.30 (assume @p2786 (forall @t3055 (=> @t1474 (=> @t1363 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t712 @t3785) @t636)))))) % 47.01/47.30 (assume @p2787 (forall @t1923 (=> @t1977 (= (tptp.hAPP @t3094 @t3784) @t2914)))) % 47.01/47.30 (assume @p2788 (forall @t483 (=> @t852 (tptp.hBOOL (tptp.hAPP @t822 (tptp.hAPP (tptp.hAPP @t3256 @t1461) @t3761)))))) % 47.01/47.30 (assume @p2789 (forall @t80 (=> @t1926 (=> @t2153 (= (tptp.hAPP @t1920 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3719 @t75))) (tptp.hAPP (tptp.hAPP @t1213 @t3788) @t3788)))))) % 47.01/47.30 (assume @p2790 (forall @t3177 (=> @t3211 (= @t3723 (tptp.hAPP @t1879 (tptp.hAPP @t3719 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t116 @t112))))))) % 47.01/47.30 (assume @p2791 (forall @t3177 (=> @t3205 (= @t3734 (tptp.hAPP (tptp.hAPP @t3163 @t3716) @t112))))) % 47.01/47.30 (assume @p2792 (forall @t2026 (and (=> @t3796 (= @t3793 @t1870)) (=> (not @t3796) (and (=> @t3795 (= @t3793 @t3792)) (=> (not @t3795) (= @t3793 (tptp.hAPP (tptp.hAPP @t1878 @t3792) @t1877)))))))) % 47.01/47.30 (assume @p2793 (forall @t1988 (=> @t1517 (and (=> @t3217 (= @t3803 @t624)) (=> @t3804 (and (=> @t3239 (= @t3803 (tptp.hAPP @t2844 (tptp.hAPP @t3264 (tptp.hAPP @t2970 @t469))))) (=> (not @t3239) (= @t3803 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3802 @t3801) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3800 (tptp.tc_fun @t3802 @t3801) tptp.tc_Int_Oint) (tptp.c_COMBB @t886 @t15 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t3800 tptp.tc_Int_Oint) @t3557) @t3264))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t886 @t886) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2434 (tptp.tc_fun @t886 @t886) tptp.tc_Int_Oint) @t3555) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t886 @t2434) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2434 (tptp.tc_fun @t886 @t2434) tptp.tc_Int_Oint) @t3553) (tptp.hAPP @t3698 @t3799))) @t3797))) (tptp.hAPP (tptp.hAPP @t1997 (tptp.hAPP (tptp.hAPP @t3553 @t1223) @t3797)) @t1459)))) (tptp.c_Divides_Odivmod__int @t469 @t3718)))))))))) % 47.01/47.30 (assume @p2794 (forall @t1923 (=> @t3441 (= (tptp.hAPP @t3806 @t3784) @t3805)))) % 47.01/47.30 (assume @p2795 (forall @t1923 (=> @t3441 (= (tptp.hAPP @t3806 @t3773) @t1456)))) % 47.01/47.30 (assume @p2796 (forall @t3637 (not (= tptp.c_Int_OMin @t3735)))) % 47.01/47.30 (assume @p2797 (forall @t2026 (not (= @t3736 tptp.c_Int_OMin)))) % 47.01/47.30 (assume @p2798 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2799 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 47.01/47.30 (assume @p2800 (tptp.hBOOL (tptp.hAPP @t3807 tptp.c_Int_OMin))) % 47.01/47.30 (assume @p2801 (= (tptp.hAPP (tptp.hAPP @t3809 @t3794) @t3808) @t3794)) % 47.01/47.30 (assume @p2802 (not (tptp.hBOOL (tptp.hAPP @t3810 tptp.c_Int_OMin)))) % 47.01/47.30 (assume @p2803 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 47.01/47.30 (assume @p2804 (forall @t3751 (= (= tptp.c_Int_OMin @t3570) (= tptp.c_Int_OMin @t1490)))) % 47.01/47.30 (assume @p2805 (forall @t1856 (= (= @t3571 tptp.c_Int_OMin) (= @t469 tptp.c_Int_OMin)))) % 47.01/47.30 (assume @p2806 (tptp.hBOOL (tptp.hAPP @t3810 @t1870))) % 47.01/47.30 (assume @p2807 (not (tptp.hBOOL (tptp.hAPP @t3643 tptp.c_Int_OMin)))) % 47.01/47.30 (assume @p2808 (tptp.hBOOL (tptp.hAPP @t3807 tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2809 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3572 tptp.c_Int_OMin)) @t3811))) % 47.01/47.30 (assume @p2810 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3807 @t3571)) (tptp.hBOOL (tptp.hAPP @t3807 @t469))))) % 47.01/47.30 (assume @p2811 (tptp.hBOOL (tptp.hAPP @t3810 tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2812 (not (tptp.hBOOL (tptp.hAPP @t3641 tptp.c_Int_OMin)))) % 47.01/47.30 (assume @p2813 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3810 @t3571)) @t3812))) % 47.01/47.30 (assume @p2814 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3586 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t2044 tptp.c_Int_OMin))))) % 47.01/47.30 (assume @p2815 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3750 tptp.c_Int_OMin)) @t3811))) % 47.01/47.30 (assume @p2816 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3810 @t3738)) @t3812))) % 47.01/47.30 (assume @p2817 (not (= @t3646 @t3813))) % 47.01/47.30 (assume @p2818 (= tptp.c_Int_OMin @t3396)) % 47.01/47.30 (assume @p2819 (forall @t2026 (= (tptp.hAPP (tptp.hAPP @t1891 tptp.c_Int_OMin) @t558) @t3253))) % 47.01/47.30 (assume @p2820 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t3813))) % 47.01/47.30 (assume @p2821 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 47.01/47.30 (assume @p2822 (forall @t2026 (= (tptp.hAPP @t2070 tptp.c_Int_OMin) @t3654))) % 47.01/47.30 (assume @p2823 (forall @t2026 (= (tptp.hAPP (tptp.hAPP @t1878 tptp.c_Int_OMin) @t558) @t3654))) % 47.01/47.30 (assume @p2824 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 47.01/47.30 (assume @p2825 (forall @t1458 (=> @t3441 (not (tptp.c_Int_Oiszero @t76 @t3805))))) % 47.01/47.30 (assume @p2826 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 47.01/47.30 (assume @p2827 (forall @t2026 (= (tptp.hAPP @t3642 tptp.c_Int_OMin) @t3669))) % 47.01/47.30 (assume @p2828 (forall @t3279 (=> @t3441 (= (tptp.hAPP (tptp.hAPP @t1559 @t3805) @t101) @t3814)))) % 47.01/47.30 (assume @p2829 (forall @t3279 (=> @t3441 (= (tptp.hAPP @t3139 @t3805) @t3814)))) % 47.01/47.30 (assume @p2830 (forall @t1458 (=> @t3441 (= @t2914 @t3805)))) % 47.01/47.30 (assume @p2831 (forall @t1458 (=> @t3441 (= @t3805 @t2914)))) % 47.01/47.30 (assume @p2832 (forall @t1458 (=> @t3532 (= (tptp.hAPP @t2299 @t3805) @t1456)))) % 47.01/47.30 (assume @p2833 (forall @t80 (=> @t3657 (= (tptp.hAPP @t3105 @t3805) @t2865)))) % 47.01/47.30 (assume @p2834 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3739 tptp.c_Int_OMin)) @t3811))) % 47.01/47.30 (assume @p2835 (forall @t1856 (= (tptp.hBOOL (tptp.hAPP @t3807 @t3738)) @t3812))) % 47.01/47.30 (assume @p2836 (forall @t481 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t112 @t3813) @t1870))) % 47.01/47.30 (assume @p2837 (forall @t3637 (= (tptp.hAPP @t3755 @t3636) @t3817))) % 47.01/47.30 (assume @p2838 (= (tptp.hAPP @t2970 tptp.c_Int_OMin) @t3638)) % 47.01/47.30 (assume @p2839 (forall @t505 (= @t2082 (or @t2081 (and (= @t496 @t3813) (= @t260 @t3813)))))) % 47.01/47.30 (assume @p2840 (forall @t494 (=> (= @t2319 @t1877) (or (= @t488 @t1877) (= @t488 @t3813))))) % 47.01/47.30 (assume @p2841 (forall @t3637 (= (tptp.hAPP @t3815 @t3735) @t3817))) % 47.01/47.30 (assume @p2842 (forall @t3637 (= (tptp.hAPP @t3815 @t3636) (tptp.c_Int_OBit0 @t3816)))) % 47.01/47.30 (assume @p2843 (forall @t1458 (=> @t3441 (= (tptp.hAPP @t3250 @t3813) @t3805)))) % 47.01/47.30 (assume @p2844 (forall @t481 (= (tptp.hAPP @t3175 @t3813) @t3171))) % 47.01/47.30 (assume @p2845 (= @t3794 (tptp.hAPP @t3789 tptp.c_Int_OPls))) % 47.01/47.30 (assume @p2846 (forall @t80 (=> @t3657 (= (tptp.hAPP (tptp.hAPP @t2978 @t3805) @t75) (tptp.hAPP @t2864 (tptp.hAPP @t3083 @t75)))))) % 47.01/47.30 (assume @p2847 (forall @t1923 (=> @t3532 (= (tptp.hAPP @t2299 (tptp.hAPP @t3806 @t369)) @t1456)))) % 47.01/47.30 (assume @p2848 (forall @t3170 (=> @t3179 (= (tptp.hAPP (tptp.hAPP @t3163 @t3813) @t116) @t3813)))) % 47.01/47.30 (assume @p2849 (forall @t3177 (=> @t2105 (=> @t3357 (= @t3178 @t3813))))) % 47.01/47.30 (assume @p2850 (forall @t3170 (=> @t3179 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3813 @t116) @t3818)))) % 47.01/47.30 (assume @p2851 (= @t3808 (tptp.hAPP @t3789 @t3638))) % 47.01/47.30 (assume @p2852 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP @t3820 (tptp.hAPP @t2470 (tptp.hAPP @t2469 @t1919))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3819 @t3819 tptp.tc_Int_Oint) @t3798) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3599 @t3819 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2078 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t1877))))) % 47.01/47.30 (assume @p2853 (forall @t3826 (= @t3825 (tptp.hAPP @t3824 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP @t3820 (tptp.hAPP @t2470 @t3822)) @t1882)))))) % 47.01/47.30 (assume @p2854 (forall @t3826 (= @t3828 (tptp.hAPP @t3824 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2078 @t2078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t517 @t3827 tptp.tc_Int_Oint) @t3692) @t3822)) @t1882)))))) % 47.01/47.30 (assume @p2855 (forall @t2515 (tptp.c_Fun_Oinj__on @t214 @t2509 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2509 @t2509 @t214) @t3831) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3830 @t2509 @t214) @t3829) (tptp.hAPP @t270 (tptp.hAPP (tptp.c_COMBC @t71 @t71 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t2526))) % 47.01/47.30 (assume @p2856 (forall @t1515 (= (tptp.c_Nitpick_Oprod @t15 @t71 @t51 @t48) (tptp.hAPP @t3831 (tptp.hAPP @t3829 @t3833))))) % 47.01/47.30 (assume @p2857 (forall @t665 (and (=> @t3836 (= @t3835 @t369)) (=> (not @t3836) (= @t3835 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t3834 @t3808) @t370)))))) % 47.01/47.30 (assume @p2858 (forall @t3214 (= @t3840 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2078 @t2078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3839 @t3827 tptp.tc_Int_Oint) @t2470) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2078 @t3839 tptp.tc_Int_Oint) @t2469) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3599 @t2078 tptp.tc_Int_Oint) (tptp.hAPP @t3838 @t1075)) (tptp.hAPP @t3837 (tptp.hAPP @t1891 @t294)))))) (tptp.hAPP (tptp.hAPP @t2470 (tptp.hAPP @t2469 (tptp.hAPP (tptp.hAPP @t3692 (tptp.hAPP tptp.c_fimplies @t3189)) (tptp.hAPP @t2471 (tptp.hAPP (tptp.hAPP @t3798 @t1882) @t294))))) (tptp.hAPP (tptp.hAPP @t3692 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t3189))) (tptp.hAPP (tptp.hAPP @t2470 (tptp.hAPP @t2469 @t3185)) (tptp.hAPP (tptp.hAPP @t3798 @t1873) @t1870))))))))) % 47.01/47.30 (assume @p2859 (forall @t3332 (=> @t3365 (tptp.hBOOL (tptp.hAPP @t3842 @t3841))))) % 47.01/47.30 (assume @p2860 (forall @t3847 (=> @t3846 (=> @t3365 (=> @t3219 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t112 @t3218) (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t3163 @t2100) @t113)) @t3359)))))))) % 47.01/47.30 (assume @p2861 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t3794) @t520)) % 47.01/47.30 (assume @p2862 (forall @t3505 (=> @t3454 (=> (tptp.hBOOL (tptp.hAPP @t3643 @t1615)) (tptp.hBOOL (tptp.hAPP @t3504 @t3848)))))) % 47.01/47.30 (assume @p2863 (forall @t3858 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3857 @t3856) @t3855)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3426 @t387) @t386))))) % 47.01/47.30 (assume @p2864 (forall @t3864 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3863 @t3856) @t3855) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t3862 (tptp.hAPP (tptp.hAPP @t3859 @t387) @t386)))))) % 47.01/47.30 (assume @p2865 (forall @t3858 (= (= @t3856 @t3855) @t388))) % 47.01/47.30 (assume @p2866 (forall @t3864 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3866 @t3856) @t3855) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t3862 (tptp.hAPP (tptp.hAPP @t3865 @t387) @t386)))))) % 47.01/47.30 (assume @p2867 (forall @t3869 (= @t3868 (tptp.hBOOL (tptp.hAPP @t3862 @t3867))))) % 47.09/47.30 (assume @p2868 (forall @t3873 (=> @t3872 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t2508) @t35)) (tptp.hBOOL (tptp.hAPP @t272 (tptp.hAPP (tptp.hAPP @t3871 (tptp.c_Enum_Oenum__class_Oenum__all @t71)) @t3870))))))) % 47.09/47.30 (assume @p2869 (forall @t3873 (=> @t3872 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t2508) @t35)) (tptp.hBOOL (tptp.hAPP @t793 (tptp.hAPP (tptp.hAPP @t3871 (tptp.c_Enum_Oenum__class_Oenum__ex @t71)) @t3870))))))) % 47.09/47.30 (assume @p2870 (forall @t3880 (= @t3879 (exists @t7 (and @t402 @t3877))))) % 47.09/47.30 (assume @p2871 (forall (@list @t1667 @t294 @t71 @t51 @t290 @t15) (=> @t293 (=> @t3884 (tptp.hBOOL (tptp.hAPP @t404 @t3424)))))) % 47.09/47.30 (assume @p2872 (forall @t3170 (=> @t3365 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1870 @t116) @t3886))))) % 47.09/47.30 (assume @p2873 (forall @t3888 (=> @t3887 (=> @t3192 (= @t1718 @t1870))))) % 47.09/47.30 (assume @p2874 (forall @t3890 (=> @t3846 (=> @t3889 (=> @t3365 (= @t2100 @t2109)))))) % 47.09/47.30 (assume @p2875 (forall @t3890 (=> @t3846 (=> @t3889 (=> @t3365 (= @t1718 @t2112)))))) % 47.09/47.30 (assume @p2876 (forall @t3902 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2679 @t2496) @t3901) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t3892) @t2496) @t1667)))))) % 47.09/47.30 (assume @p2877 (forall @t3888 (=> @t3887 (=> @t3192 (= @t2100 @t1877))))) % 47.09/47.30 (assume @p2878 (forall @t3903 (=> @t3846 (=> @t3365 (= @t3330 @t1718))))) % 47.09/47.30 (assume @p2879 (forall @t3903 (=> @t3846 (=> @t3365 (= @t3178 @t2100))))) % 47.09/47.30 (assume @p2880 (forall @t594 (=> @t1957 (tptp.hBOOL (tptp.hAPP @t1516 @t3848))))) % 47.09/47.30 (assume @p2881 (forall (@list @t2100 @t2986) (= (tptp.c_Divides_Odivmod__int @t2986 @t2100) (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t3163 @t2986) @t2100)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2986 @t2100))))) % 47.09/47.30 (assume @p2882 (forall @t364 (=> @t1957 (=> @t3905 (=> @t3904 (tptp.hBOOL (tptp.hAPP @t1518 @t3848))))))) % 47.09/47.30 (assume @p2883 (forall @t364 (=> @t1957 (=> @t3905 (=> @t3904 (tptp.hBOOL (tptp.hAPP @t1745 @t3848))))))) % 47.09/47.30 (assume @p2884 (forall @t594 (=> @t1957 (tptp.hBOOL (tptp.hAPP @t1520 @t3848))))) % 47.09/47.30 (assume @p2885 (forall @t1838 (=> @t1957 (tptp.hBOOL (tptp.hAPP @t1935 @t3848))))) % 47.09/47.30 (assume @p2886 (forall (@list @t290 @t1667 @t71 @t294 @t15) (= (tptp.hBOOL (tptp.hAPP @t309 @t3908)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3876 @t3907) @t1667))))) % 47.09/47.30 (assume @p2887 (forall @t3332 (=> @t3365 (tptp.hBOOL (tptp.hAPP @t3842 (tptp.hAPP (tptp.hAPP @t3843 @t3178) @t3330)))))) % 47.09/47.30 (assume @p2888 (forall (@list @t290 @t1667 @t15 @t71) (= @t3908 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t3430 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3429 @t3909 @t15) @t3876) @t3906)) @t1667))))) % 47.09/47.30 (assume @p2889 (forall @t3917 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t112 @t113) (tptp.hAPP (tptp.hAPP @t3843 @t3914) @t3911))) (=> (tptp.hBOOL (tptp.hAPP @t3916 (tptp.hAPP (tptp.hAPP @t3843 @t3913) @t3910))) (=> @t3915 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3342 @t113) (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t1878 (tptp.hAPP (tptp.hAPP @t1878 @t3914) @t3913)) (tptp.hAPP (tptp.hAPP @t3163 @t3912) @t113))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3912 @t113))))))))) % 47.09/47.30 (assume @p2890 (forall (@list @t1667 @t3294 @t294 @t290) (=> (tptp.hBOOL (tptp.hAPP @t3840 @t3921)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3920 @t294) (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t3918 @t3919) (tptp.hAPP (tptp.hAPP @t1924 @t3919) @t1877))) (tptp.hAPP (tptp.hAPP @t3918 @t1870) (tptp.hAPP (tptp.hAPP @t1924 @t294) @t1667)))))))) % 47.09/47.30 (assume @p2891 (forall @t3903 (=> (= @t112 @t2124) (=> (and (=> @t3179 (and @t2108 @t2122)) (=> @t3922 (and @t2132 @t2133))) @t3846)))) % 47.09/47.30 (assume @p2892 (forall @t3924 (=> (tptp.hBOOL (tptp.hAPP @t3916 @t3845)) (=> @t3915 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3323 @t113) (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t1878 @t2103) (tptp.hAPP (tptp.hAPP @t3163 @t3923) @t113))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3923 @t113)))))))) % 47.09/47.30 (assume @p2893 (forall (@list @t2 @t184 @t51 @t294 @t290 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t3883 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3928 @t3927) (tptp.hAPP (tptp.c_Set_Oimage @t2508 @t184 @t3926) @t51)))))) % 47.09/47.30 (assume @p2894 (forall @t3187 @t3935)) % 47.09/47.30 (assume @p2895 (forall (@list @t1667 @t3294 @t294) (= (tptp.hAPP @t3941 @t3921) (tptp.hAPP (tptp.hAPP @t3931 (tptp.hAPP (tptp.hAPP @t1924 @t1667) @t294)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3823 @t3823) (tptp.hAPP (tptp.hAPP @t3940 (tptp.hAPP @t3939 @t2025)) (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t1878 @t3936) @t1877)))) (tptp.hAPP (tptp.hAPP @t3843 @t3936) @t1667)))))) % 47.09/47.30 (assume @p2896 (forall @t3945 (=> @t3944 (=> (not @t3943) @t3942)))) % 47.09/47.30 (assume @p2897 (forall (@list @t71 @t15 @t51 @t128 @t47 @t48) (=> (=> @t3946 @t3943) @t3944))) % 47.09/47.30 (assume @p2898 (forall @t3945 (=> @t3947 (not (=> @t3943 @t3946))))) % 47.09/47.30 (assume @p2899 (forall (@list @t71 @t15 @t48 @t128 @t47 @t51) (=> @t3943 (=> @t3942 @t3947)))) % 47.09/47.30 (assume @p2900 (forall (@list @t184 @t71 @t294 @t290 @t281 @t202 @t15) (=> (tptp.hBOOL (tptp.hAPP @t403 @t3950)) (tptp.hBOOL (tptp.hAPP @t403 (tptp.hAPP @t3949 @t3948)))))) % 47.09/47.30 (assume @p2901 (forall (@list @t71 @t15 @t294 @t290 @t81) (=> (tptp.hBOOL @t3951) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3829 @t81) @t3882))))) % 47.09/47.30 (assume @p2902 (forall (@list @t71 @t15 @t294 @t290 @t2) (=> @t3953 @t3952))) % 47.09/47.30 (assume @p2903 (forall @t3869 (not @t3868))) % 47.09/47.30 (assume @p2904 (forall (@list @t281 @t294 @t290 @t387 @t184 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3954 @t387) @t3882) @t281)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t387 @t290) @t294) @t281))))) % 47.09/47.30 (assume @p2905 (forall @t881 (tptp.c_Fun_Oinj__on @t2508 @t3429 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t3429) @t3955) @t51))) % 47.09/47.30 (assume @p2906 (forall (@list @t128 @t47 @t34 @t35 @t71 @t15) (=> @t3958 (=> @t3957 @t3956)))) % 47.09/47.30 (assume @p2907 (forall (@list @t34 @t71 @t15 @t128 @t47 @t35) (=> @t3957 (=> @t3958 @t3956)))) % 47.09/47.30 (assume @p2908 (forall (@list @t48 @t71 @t15 @t128 @t47 @t51) (=> @t3943 @t3944))) % 47.09/47.30 (assume @p2909 (forall (@list @t51 @t71 @t15 @t128 @t47 @t48) (=> @t3942 @t3944))) % 47.09/47.30 (assume @p2910 (forall @t3945 (=> @t3947 @t3942))) % 47.09/47.30 (assume @p2911 (forall @t3945 (=> @t3947 @t3943))) % 47.09/47.30 (assume @p2912 (forall (@list @t71 @t15 @t35) (= @t375 (forall @t3960 (tptp.hBOOL (tptp.hAPP @t35 @t3959)))))) % 47.09/47.30 (assume @p2913 (forall @t3966 (= (= @t3882 @t3965) @t3964))) % 47.09/47.30 (assume @p2914 (forall (@list @t2110 @t3196 @t116 @t112 @t15 @t76) (=> (= @t3968 (tptp.hAPP (tptp.hAPP @t3967 @t3196) @t2110)) (not (=> (= @t112 @t3196) (not (= @t116 @t2110))))))) % 47.09/47.30 (assume @p2915 (forall (@list @t281 @t184 @t71 @t15 @t3294 @t1796) (=> (= @t1796 @t3294) (= (tptp.hAPP @t3969 @t1796) (tptp.hAPP @t3969 @t3294))))) % 47.09/47.30 (assume @p2916 (forall (@list @t1796 @t1 @t3972 @t3973 @t2 @t15 @t184 @t71) (= (tptp.hAPP @t3971 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3973 @t3972 @t3891) @t1) @t1796)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3973 @t3972 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3972 @t3891) (tptp.tc_fun @t3972 @t15) @t3973) (tptp.hAPP (tptp.c_COMBB @t3891 @t15 @t3972) @t3971)) @t1)) @t1796)))) % 47.09/47.30 (assume @p2917 (forall @t3974 (= (tptp.hAPP (tptp.hAPP @t3970 @t81) @t3948) @t3951))) % 47.09/47.30 (assume @p2918 (forall @t3975 (= (tptp.hAPP @t3971 @t3948) @t3927))) % 47.09/47.30 (assume @p2919 (forall @t3976 (=> @t3952 @t3953))) % 47.09/47.30 (assume @p2920 (forall @t3977 (= (tptp.hAPP @t3925 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 @t2425 @t15) (tptp.hAPP (tptp.c_COMBB @t2508 @t184 @t71) @t2)) @t3849)) @t2))) % 47.09/47.30 (assume @p2921 (forall @t3979 (= (tptp.c_HOL_OThe @t2508 @t35) (tptp.c_HOL_OThe @t2508 @t3978)))) % 47.09/47.30 (assume @p2922 (forall @t3869 (= (tptp.c_HOL_OThe @t2508 @t3980) @t3861))) % 47.09/47.30 (assume @p2923 (forall (@list @t294) (= @t3941 (tptp.hAPP @t3987 (tptp.hAPP (tptp.hAPP @t3986 (tptp.hAPP @t3985 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3929 @t3984 tptp.tc_Int_Oint) (tptp.hAPP @t3940 (tptp.hAPP @t3939 (tptp.hAPP (tptp.hAPP @t3838 @t2025) @t3981)))) (tptp.hAPP (tptp.hAPP @t3983 (tptp.hAPP @t3982 (tptp.hAPP @t3930 (tptp.hAPP (tptp.hAPP @t2021 (tptp.hAPP @t3837 @t3719)) @t1877)))) @t3981)))) (tptp.hAPP @t3930 @t3719)))))) % 47.09/47.30 (assume @p2924 (forall (@list @t128 @t47 @t387 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t15 @t71 @t387) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t3862 @t387))))) % 47.09/47.30 (assume @p2925 (forall @t672 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t369 @t488) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t3989) @t3988)))) % 47.09/47.30 (assume @p2926 (forall @t2058 (=> @t3996 (and (=> @t3994 (= @t3992 (tptp.hAPP @t3995 @t3993))) (=> (not @t3994) (= @t3992 (tptp.hAPP @t3991 (tptp.c_Divides_OnegDivAlg @t1877 @t3990)))))))) % 47.09/47.30 (assume @p2927 (forall @t3177 (=> @t3181 (=> @t3179 (tptp.hBOOL (tptp.hAPP @t3842 @t3997)))))) % 47.09/47.30 (assume @p2928 (forall @t3338 (=> @t3252 (=> (tptp.hBOOL (tptp.hAPP @t1919 @t666)) (= (tptp.c_Divides_OnegDivAlg @t558 @t666) @t3998))))) % 47.09/47.30 (assume @p2929 (forall @t3170 (= (tptp.c_Divides_OnegDivAlg @t3813 @t116) (tptp.hAPP @t3995 @t3818)))) % 47.09/47.30 (assume @p2930 (forall @t3177 (and (=> @t4003 @t4004) (=> (not @t4003) @t4000)))) % 47.09/47.30 (assume @p2931 (forall @t3564 (=> @t4010 (and (=> @t4009 (= @t4007 (tptp.hAPP @t3995 @t4008))) (=> (not @t4009) (= @t4007 (tptp.hAPP @t4006 (tptp.c_Divides_OnegDivAlg @t3565 @t4005)))))))) % 47.09/47.30 (assume @p2932 (forall @t3332 (=> @t3179 (and (=> @t4002 @t4004) (=> (not @t4002) @t4000))))) % 47.09/47.30 (assume @p2933 (forall @t3406 (= (tptp.c_Nitpick_Orefl_H @t15 @t1667) (forall @t7 @t4016)))) % 47.09/47.30 (assume @p2934 (forall @t2058 (=> @t3996 (and (=> @t4018 (= @t4017 @t3934)) (=> (not @t4018) (= @t4017 (tptp.hAPP @t3991 (tptp.c_Divides_OposDivAlg @t1877 @t3990)))))))) % 47.09/47.30 (assume @p2935 (forall @t3177 (and (=> @t4021 @t4022) (=> (not @t4021) @t4020)))) % 47.09/47.30 (assume @p2936 (forall @t3170 (= (tptp.c_Divides_OposDivAlg @t1870 @t116) @t3886))) % 47.09/47.30 (assume @p2937 (forall @t3177 (=> @t3211 (=> @t3179 (tptp.hBOOL (tptp.hAPP @t3842 @t4019)))))) % 47.09/47.30 (assume @p2938 (forall @t3338 (=> (tptp.hBOOL (tptp.hAPP @t2025 @t558)) (=> @t3246 (= (tptp.c_Divides_OposDivAlg @t558 @t666) @t3998))))) % 47.09/47.30 (assume @p2939 (forall @t3332 (=> @t3179 (and (=> @t3210 @t4022) (=> (not @t3210) @t4020))))) % 47.09/47.30 (assume @p2940 (forall @t3564 (=> @t4010 (and (=> @t4025 (= @t4023 (tptp.hAPP @t3885 @t3565))) (=> (not @t4025) (= @t4023 (tptp.hAPP @t4006 (tptp.c_Divides_OposDivAlg @t3565 @t4005)))))))) % 47.09/47.30 (assume @p2941 (forall @t3177 (and (=> @t3211 (and (=> @t4028 (= @t3841 @t4019)) (=> (not @t4028) (and (=> @t3191 (= @t3841 @t3886)) (=> @t3192 (= @t3841 @t4027)))))) (=> (not @t3211) (and (=> @t3179 (= @t3841 @t3997)) (=> @t3922 (= @t3841 @t4026))))))) % 47.09/47.30 (assume @p2942 (forall @t672 (=> @t852 (=> @t556 (= @t4030 (tptp.hAPP (tptp.hAPP @t4029 @t3284) @t3378)))))) % 47.09/47.30 (assume @p2943 (forall @t2046 (and @t4039 (=> @t3804 (and @t4038 (=> @t4037 (= @t4035 (tptp.hAPP @t4034 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3937 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t1919 @t1490)) @t2207)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t1882 @t1490) @t1870)) @t3238))) @t4031) @t4032))))))))) % 47.09/47.30 (assume @p2944 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t2970))) % 47.09/47.30 (assume @p2945 (forall (@list @t128 @t47 @t2 @t15 @t71 @t184) (= (tptp.hAPP @t4042 @t4041) (tptp.hAPP @t3860 @t411)))) % 47.09/47.30 (assume @p2946 (forall @t588 (= (tptp.c_Divides_Odivmod__nat @t488 @t520) @t4044))) % 47.09/47.30 (assume @p2947 (forall @t494 (=> @t821 (= @t4030 @t4044)))) % 47.09/47.30 (assume @p2948 (forall (@list @t1718 @t2100) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3845) (tptp.hAPP @t3844 (tptp.hAPP @t2970 @t1718))))) % 47.09/47.30 (assume @p2949 (forall @t494 (= @t4030 @t4045))) % 47.09/47.30 (assume @p2950 (forall (@list @t4046 @t116 @t112) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3171 @t3174) @t4046)) (tptp.hBOOL (tptp.hAPP @t3842 (tptp.hAPP tptp.c_Divides_OnegateSnd @t4046)))))) % 47.09/47.30 (assume @p2951 (forall @t501 (and (=> @t4050 (= @t4049 (tptp.hAPP @t4043 @t496))) (=> (not @t4050) (= @t4049 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4047) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4048 tptp.tc_Nat_Onat) @t4029) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t671 @t260))))))) % 47.09/47.30 (assume @p2952 (forall @t3338 (= @t4053 (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP (tptp.hAPP @t3163 @t4052) @t4051)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t4052 @t4051))))) % 47.09/47.30 (assume @p2953 (forall @t3249 (and (=> @t4054 (= @t4053 (tptp.hAPP @t3885 @t4052))) (=> (not @t4054) (= @t4053 (tptp.c_Divides_OposDivAlg @t4052 @t4051)))))) % 47.09/47.30 (assume @p2954 (forall @t2046 (and @t4039 (=> @t3804 (and @t4038 (=> @t4037 (= @t4035 (tptp.hAPP @t4034 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3937 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t469)) @t4033)) @t4031) @t4032))))))))) % 47.09/47.30 (assume @p2955 (forall @t3847 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t112 @t116) @t4055)) (=> (tptp.hBOOL (tptp.hAPP @t822 @t116)) (=> @t3393 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t112 @t3260) (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t3256 @t2100) @t113)) @t3392)))))))) % 47.09/47.30 (assume @p2956 (forall @t3924 (=> (tptp.hBOOL (tptp.hAPP @t4057 @t4055)) (=> @t3393 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3389 @t113) (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t3388 @t2100)) (tptp.hAPP (tptp.hAPP @t3256 @t4056) @t113))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4056 @t113)))))))) % 47.09/47.30 (assume @p2957 (forall @t3214 (=> (tptp.hBOOL (tptp.hAPP @t4064 @t4063)) (and (=> @t4062 (= @t4059 (tptp.hAPP @t3995 @t4061))) (=> (not @t4062) (= @t4059 (tptp.hAPP @t3941 (tptp.c_Divides_OnegDivAlg @t290 @t4058)))))))) % 47.09/47.30 (assume @p2958 (forall (@list @t4065 @t4046 @t369 @t488) (=> @t4067 (=> (tptp.hBOOL (tptp.hAPP @t4066 @t4065)) (= @t4046 @t4065))))) % 47.09/47.30 (assume @p2959 (forall (@list @t4046 @t369 @t488) (=> @t4067 (= @t4030 @t4046)))) % 47.09/47.30 (assume @p2960 (forall @t494 (tptp.hBOOL (tptp.hAPP @t4066 @t4030)))) % 47.09/47.30 (assume @p2961 (forall @t505 (= @t4049 (tptp.c_HOL_OThe @t4047 @t4068)))) % 47.09/47.30 (assume @p2962 (forall @t4070 (=> @t4069 (= @t3371 @t1718)))) % 47.09/47.30 (assume @p2963 (forall @t4070 (=> @t4069 (= @t3263 @t2100)))) % 47.09/47.30 (assume @p2964 (forall @t494 (tptp.hBOOL (tptp.hAPP @t4066 @t4045)))) % 47.09/47.30 (assume @p2965 (forall @t3917 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t112 @t113) (tptp.hAPP (tptp.hAPP @t4029 @t3914) @t3911))) (=> (tptp.hBOOL (tptp.hAPP @t4057 (tptp.hAPP (tptp.hAPP @t4029 @t3913) @t3910))) (=> @t3393 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t3386 @t113) (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 @t3914) @t3913)) (tptp.hAPP (tptp.hAPP @t3256 @t4071) @t113))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4071 @t113))))))))) % 47.09/47.30 (assume @p2966 (forall @t3214 (=> (tptp.hBOOL (tptp.hAPP @t4074 @t4063)) (and (=> @t4073 (= @t4072 (tptp.hAPP @t3885 @t290))) (=> (not @t4073) (= @t4072 (tptp.hAPP @t3941 (tptp.c_Divides_OposDivAlg @t290 @t4058)))))))) % 47.09/47.30 (assume @p2967 (forall @t3214 (=> (tptp.hBOOL (tptp.hAPP @t4075 @t4063)) @t3935))) % 47.09/47.30 (assume @p2968 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t4064 @t4083)) (=> (forall @t3960 (=> (tptp.hBOOL (tptp.hAPP @t4064 @t4082)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t2025 (tptp.hAPP (tptp.hAPP @t1878 @t935) @t1111))) @t4081)) @t4080) @t4079))) @t4077)))) % 47.09/47.30 (assume @p2969 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t4074 @t4083)) (=> (forall @t3960 (=> (tptp.hBOOL (tptp.hAPP @t4074 @t4082)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t935) @t1111)) @t4081)) @t4080) @t4079))) @t4077)))) % 47.09/47.30 (assume @p2970 (forall @t4088 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4087 @t4085) @t4086)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.c_Wellfounded_Oaccp @t15 @t4086)) (tptp.c_Wellfounded_Oaccp @t15 @t4085)))))) % 47.09/47.30 (assume @p2971 (forall @t2058 (=> @t4092 (= @t4091 (tptp.hAPP @t4090 @t4089))))) % 47.09/47.30 (assume @p2972 (forall (@list @t116 @t112 @t76 @t15) (= (tptp.hAPP @t4094 (tptp.hAPP (tptp.hAPP @t4093 @t112) @t116)) @t116))) % 47.09/47.30 (assume @p2973 (forall (@list @t112 @t95 @t75 @t76 @t15) (=> (= (tptp.hAPP @t4094 (tptp.hAPP (tptp.hAPP @t4093 @t75) @t95)) @t112) (= @t95 @t112)))) % 47.09/47.30 (assume @p2974 (forall (@list @t1796 @t15 @t71) (= @t4096 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t15 @t15) (tptp.hAPP (tptp.c_COMBK @t886 @t71) @t237)) @t1796)))) % 47.09/47.30 (assume @p2975 (forall (@list @t1 @t47 @t2 @t15 @t71 @t184) (= (= @t4098 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t184 @t71 @t15 @t1) @t47)) (= (tptp.hAPP @t2 @t4097) (tptp.hAPP @t1 @t4097))))) % 47.09/47.30 (assume @p2976 (forall @t4101 (= (tptp.hAPP @t4095 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t184 @t15 @t71 @t2) @t47)) (tptp.hAPP @t2 @t4100)))) % 47.09/47.30 (assume @p2977 (forall @t3177 (= @t3330 (tptp.hAPP @t4090 @t3841)))) % 47.09/47.30 (assume @p2978 (forall @t4105 (= @t4104 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4103 @t290)) (tptp.hBOOL (tptp.hAPP @t4102 @t3))))))) % 47.09/47.30 (assume @p2979 (forall (@list @t290 @t294 @t1667 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4102 @t294)) (=> @t4106 @t4104)))) % 47.09/47.30 (assume @p2980 (forall @t3177 (=> @t3181 (=> @t3179 (= @t3330 (tptp.hAPP @t4090 @t3997)))))) % 47.09/47.30 (assume @p2981 (forall @t3177 (=> @t2105 (=> @t4028 (= @t3330 (tptp.hAPP @t4090 @t4019)))))) % 47.09/47.30 (assume @p2982 (forall @t2058 (=> @t3729 (= @t4091 (tptp.hAPP @t4090 @t4017))))) % 47.09/47.30 (assume @p2983 (forall @t3177 (=> @t2105 (=> @t3198 (= @t3330 (tptp.hAPP @t4090 @t4027)))))) % 47.09/47.30 (assume @p2984 (forall @t3177 (=> @t3181 (=> @t4001 (= @t3330 (tptp.hAPP @t4090 @t4026)))))) % 47.09/47.30 (assume @p2985 (forall @t2141 (=> (tptp.hBOOL (tptp.hAPP @t4110 @t4109)) (and (=> @t4108 (= @t4107 @t47)) (=> (not @t4108) (= @t4107 (tptp.c_Nitpick_Onat__gcd @t128 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t47 @t128)))))))) % 47.09/47.30 (assume @p2986 (forall @t4113 (= (tptp.c_Nat_Onat_Onat__size @t4112) (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Nat_Onat_Onat__size @t4111)) @t904)))) % 47.09/47.30 (assume @p2987 (forall (@list @t2 @t128 @t47 @t15) (= (tptp.hBOOL (tptp.hAPP @t4118 @t4116)) @t4114))) % 47.09/47.30 (assume @p2988 (forall @t494 (= @t3371 (tptp.hAPP @t4119 @t4030)))) % 47.09/47.30 (assume @p2989 (= (tptp.c_Nat_Onat_Onat__size @t520) @t520)) % 47.09/47.30 (assume @p2990 (forall @t3406 (= (tptp.c_Relation_Oirrefl @t15 @t1667) @t4120))) % 47.09/47.30 (assume @p2991 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t4075 @t4083)) (=> (forall @t3960 (=> (tptp.hBOOL (tptp.hAPP @t4075 @t4082)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1111) @t1870)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t2970 @t935)) (tptp.hAPP @t2970 @t1111)))) @t4079))) @t4077)))) % 47.09/47.30 (assume @p2992 (forall @t2058 (=> @t4092 (= @t4122 (tptp.hAPP @t4121 @t4089))))) % 47.09/47.30 (assume @p2993 (forall (@list @t2100 @t2986 @t15 @t76) (=> (= @t4126 (tptp.hAPP @t4125 @t2100)) (=> (= @t4124 (tptp.hAPP @t4123 @t2100)) (= @t2986 @t2100))))) % 47.09/47.30 (assume @p2994 (forall (@list @t71 @t15 @t393 @t543) (= (= @t543 @t393) (and (= (tptp.hAPP @t4128 @t543) (tptp.hAPP @t4128 @t393)) (= (tptp.hAPP @t4127 @t543) (tptp.hAPP @t4127 @t393)))))) % 47.09/47.30 (assume @p2995 (forall @t4129 (= (tptp.hAPP @t4125 @t3968) @t112))) % 47.09/47.30 (assume @p2996 (forall (@list @t112 @t95 @t75 @t15 @t76) (=> (= (tptp.hAPP @t4125 @t4130) @t112) (= @t75 @t112)))) % 47.09/47.30 (assume @p2997 (forall (@list @t1796 @t71 @t15) (= @t4131 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t15) @t879) @t1796)))) % 47.09/47.30 (assume @p2998 (forall @t4132 (= (tptp.hAPP @t4128 @t4098) (tptp.hAPP (tptp.c_Product__Type_Ofst @t15 @t184) @t47)))) % 47.09/47.30 (assume @p2999 (forall (@list @t15 @t76 @t365) (= @t365 (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP @t4125 @t365)) (tptp.hAPP @t4123 @t365))))) % 47.09/47.30 (assume @p3000 (forall (@list @t2986 @t15 @t76) (= (tptp.hAPP (tptp.hAPP @t3967 @t4126) @t4124) @t2986))) % 47.09/47.30 (assume @p3001 (forall (@list @t1796 @t2 @t15 @t184 @t71) (= (tptp.hAPP @t3971 @t1796) (tptp.hAPP (tptp.hAPP @t2 @t4135) @t4133)))) % 47.09/47.30 (assume @p3002 (forall @t3177 (= @t3178 (tptp.hAPP @t4121 @t3841)))) % 47.09/47.30 (assume @p3003 (forall (@list @t1 @t2 @t3973 @t184 @t71 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2508 @t71 @t184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3973 @t2425 @t2508) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t3973 @t2508) @t1) @t4128))) @t4127) (tptp.hAPP @t3925 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3973 @t2425 @t15) @t2) @t1))))) % 47.09/47.30 (assume @p3004 (forall (@list @t202 @t35 @t15 @t184 @t71) (= (tptp.hAPP (tptp.hAPP @t3970 @t35) @t202) (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t4134 @t202)) (tptp.hAPP @t4099 @t202))))) % 47.09/47.30 (assume @p3005 (forall (@list @t1796 @t281 @t15 @t184 @t71) (= (tptp.hAPP (tptp.hAPP @t3970 @t281) @t1796) (tptp.hAPP (tptp.hAPP @t281 @t4135) @t4133)))) % 47.09/47.30 (assume @p3006 (forall @t3979 (= (tptp.c_HOL_OThe @t2508 @t4137) (tptp.c_HOL_OThe @t2508 @t4136)))) % 47.09/47.30 (assume @p3007 (forall @t3177 (=> @t3181 (=> @t3179 (= @t3178 (tptp.hAPP @t4121 @t3997)))))) % 47.09/47.30 (assume @p3008 (forall @t3177 (=> @t2105 (=> @t4028 (= @t3178 (tptp.hAPP @t4121 @t4019)))))) % 47.09/47.30 (assume @p3009 (forall @t2058 (=> @t3729 (= @t4122 (tptp.hAPP @t4121 @t4017))))) % 47.09/47.30 (assume @p3010 (forall @t3177 (=> @t2105 (=> @t3198 (= @t3178 (tptp.hAPP @t4121 @t4027)))))) % 47.09/47.30 (assume @p3011 (forall @t3177 (=> @t3181 (=> @t4001 (= @t3178 (tptp.hAPP @t4121 @t4026)))))) % 47.09/47.30 (assume @p3012 (forall (@list @t1796 @t1 @t2 @t71 @t15) (= (tptp.c_Product__Type_Oprod_Oprod__size @t15 @t71 @t2 @t1 @t1796) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t2 @t4131)) (tptp.hAPP @t1 (tptp.hAPP @t4127 @t1796)))) @t904)))) % 47.09/47.30 (assume @p3013 (forall (@list @t71 @t15 @t3294 @t34 @t1796 @t35) (=> (tptp.hBOOL (tptp.hAPP @t35 @t1796)) (=> (tptp.hBOOL (tptp.hAPP @t34 @t3294)) (and (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t4128 @t4138))) (tptp.hBOOL (tptp.hAPP @t34 (tptp.hAPP @t4127 @t4138)))))))) % 47.09/47.30 (assume @p3014 (forall (@list @t15 @t71 @t47 @t128 @t35) (=> (tptp.hBOOL (tptp.hAPP @t4142 @t47)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t4095 @t4140)) (tptp.hAPP @t4141 @t4140)))))) % 47.09/47.30 (assume @p3015 (forall @t494 (= @t3263 (tptp.hAPP @t4143 @t4030)))) % 47.09/47.30 (assume @p3016 (forall (@list @t4144 @t260 @t496) (= (tptp.hBOOL (tptp.hAPP @t4068 @t4144)) (and (= @t496 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP (tptp.hAPP @t1625 @t4146) @t260)) @t4145)) (=> @t554 (= @t4146 @t520)) (=> @t856 (and (=> @t855 (and (tptp.hBOOL (tptp.hAPP @t539 @t4145)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t4145) @t260)))) (=> (not @t855) (and (tptp.hBOOL (tptp.hAPP @t857 @t4145)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t4145) @t520)))))))))) % 47.09/47.30 (assume @p3017 (forall @t2032 (= @t2215 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4047 @t1866) @t4150) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t1866 @t4149) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4148 (tptp.tc_fun @t1866 @t4149) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t1866 @t1866)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2202 @t4148 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4147 tptp.tc_Nat_Onat) @t1732)) @t643))) @t1867))))))) % 47.09/47.30 (assume @p3018 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t4110 (tptp.hAPP (tptp.hAPP @t4029 @t4076) @t278))) (=> (forall @t787 (=> (tptp.hBOOL (tptp.hAPP @t4110 @t4151)) (=> (=> (not (= @t783 @t520)) (tptp.hBOOL (tptp.hAPP @t2459 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t783)))) (tptp.hBOOL (tptp.hAPP @t171 @t783))))) @t4077)))) % 47.09/47.30 (assume @p3019 (forall (@list @t2 @t1667 @t15 @t71) (= @t4163 (tptp.hAPP @t4161 (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t4157 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4159 (tptp.tc_fun @t4157 @t54) @t15) (tptp.c_COMBC @t15 @t4157 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4155 @t4159 @t15) (tptp.hAPP (tptp.c_COMBB @t4153 @t4158 @t15) @t4156)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t214 @t4155) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4154 (tptp.tc_fun @t214 @t4155) @t15) (tptp.c_COMBB @t71 @t4153 @t15)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 @t4154 @t15) @t4152) @t2))) @t2)))) @t1667)))))) % 47.09/47.30 (assume @p3020 (forall @t2141 (= (= @t4164 (tptp.hAPP tptp.c_Int_ORep__Integ @t128)) @t129))) % 47.09/47.30 (assume @p3021 (forall (@list @t2 @t1667 @t71 @t128 @t47 @t15) (= (tptp.hBOOL (tptp.hAPP @t4118 @t4163)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4156 (tptp.hAPP (tptp.hAPP @t4152 @t69) @t411)) @t1667))))) % 47.09/47.30 (assume @p3022 (forall @t2515 (= @t4174 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3403 @t3403 @t4170) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3403 @t4173 @t4172) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4171 (tptp.tc_fun @t4173 @t4172) @t3403) (tptp.c_COMBB @t4169 @t4170 @t3403)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4168 @t4171 @t3403) (tptp.c_COMBS @t72 @t4157 @t4166)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4169 @t4168 @t3403) (tptp.hAPP (tptp.c_COMBB @t4157 @t4167 @t72) (tptp.c_Product__Type_OPair @t4157 @t4157))) @t4165)))) @t4165))))) % 47.09/47.30 (assume @p3023 (forall (@list @t294 @t290 @t47 @t1667 @t51 @t15) (=> @t4181 (=> (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP (tptp.hAPP @t962 @t4180) @t4179))) @t4178)))) % 47.09/47.30 (assume @p3024 (forall (@list @t290 @t294 @t1667 @t51 @t15) (=> @t4181 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4179) @t4180)) @t4182)))) % 47.09/47.30 (assume @p3025 (forall @t4183 (=> @t4181 (=> @t293 (tptp.hBOOL (tptp.hAPP @t291 @t4180)))))) % 47.09/47.30 (assume @p3026 (forall (@list @t236 @t508 @t1667 @t51 @t15) (=> @t4181 (=> @t3421 (=> @t4185 (or @t4184 (= (tptp.hAPP (tptp.hAPP @t962 @t508) @t236) @t289))))))) % 47.09/47.30 (assume @p3027 (forall @t4187 (=> @t4181 (=> @t4178 @t4186)))) % 47.09/47.30 (assume @p3028 (forall @t4191 (=> @t4181 (=> @t3421 (=> @t4185 (=> @t4190 (=> @t4189 (= @t4184 @t4188)))))))) % 47.09/47.30 (assume @p3029 (forall @t4191 (=> @t4181 (=> @t3421 (=> @t4185 (=> @t4190 (=> @t4189 (=> @t4188 @t4184)))))))) % 47.09/47.30 (assume @p3030 (forall @t4193 (=> @t4181 (= @t4188 (and @t4192 @t331 @t361))))) % 47.09/47.30 (assume @p3031 (forall @t4193 (=> @t4181 (=> @t331 (=> @t361 (= @t4192 @t4188)))))) % 47.09/47.30 (assume @p3032 (forall (@list @t51 @t294 @t290 @t1667 @t15) (=> @t4186 (=> @t4181 @t4182)))) % 47.09/47.30 (assume @p3033 (forall @t4187 (=> @t4181 (=> @t4178 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4180) @t4179)))))) % 47.09/47.30 (assume @p3034 (forall @t4193 (=> @t4181 (=> @t331 (=> @t361 (= (= @t3410 (tptp.hAPP (tptp.hAPP @t3400 @t1209) @t1667)) @t4188)))))) % 47.09/47.30 (assume @p3035 (forall (@list @t290 @t2 @t71 @t1667 @t51 @t15) (=> @t4181 (=> @t4194 (=> @t293 (= (tptp.hAPP (tptp.hAPP @t2497 @t4180) @t2) @t397)))))) % 47.09/47.30 (assume @p3036 (forall (@list @t277 @t278 @t2 @t184 @t4195 @t4200 @t71 @t4198 @t4201 @t15) (=> @t4204 (=> @t4203 (=> @t4202 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t278) @t4201)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t277) @t4200)) (= (tptp.hAPP (tptp.hAPP @t4199 (tptp.hAPP (tptp.c_Relation_OImage @t15 @t15 @t4198) (tptp.hAPP @t2332 @t289))) (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t2578 (tptp.hAPP @t4196 (tptp.hAPP (tptp.hAPP @t378 @t277) @t377)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t278) @t277))))))))) % 47.09/47.30 (assume @p3037 (forall @t67 (= (tptp.hBOOL (tptp.hAPP @t4209 @t4205)) (and @t695 @t943)))) % 47.09/47.30 (assume @p3038 (forall (@list @t290 @t2 @t4195 @t184 @t71 @t4198 @t51 @t15) (=> (tptp.c_Equiv__Relations_Oequiv @t15 @t51 @t4198) (=> @t4210 (=> @t293 (tptp.c_Equiv__Relations_Ocongruent @t71 @t184 @t4195 @t397)))))) % 47.09/47.30 (assume @p3039 (forall (@list @t4211 @t4213 @t4212 @t4214 @t2 @t4195 @t4198 @t184 @t71 @t15) (=> @t4210 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 @t4214) @t4212)) @t4198)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4156 (tptp.hAPP (tptp.hAPP @t4152 @t4213) @t4211)) @t4195)) (= (tptp.hAPP (tptp.hAPP @t2 @t4214) @t4213) (tptp.hAPP (tptp.hAPP @t2 @t4212) @t4211))))))) % 47.09/47.30 (assume @p3040 (forall (@list @t202 @t128 @t2 @t1667 @t71 @t15) (=> @t4217 (=> (tptp.hBOOL (tptp.hAPP @t4216 @t1667)) (= @t411 @t749))))) % 47.09/47.30 (assume @p3041 (forall (@list @t290 @t2 @t184 @t4195 @t4200 @t71 @t4198 @t4201 @t15) (=> @t4204 (=> @t4203 (=> @t4202 (=> (tptp.hBOOL (tptp.hAPP @t2684 @t4200)) (tptp.c_Equiv__Relations_Ocongruent @t15 @t828 @t4198 (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t2578 (tptp.hAPP @t4196 @t2663))) @t2)))))))) % 47.09/47.30 (assume @p3042 (forall @t594 (= @t4205 (tptp.hAPP (tptp.c_Set_OCollect @t4207) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t54 @t54 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t2944 (tptp.hAPP @t2943 (tptp.hAPP @t2940 @t693))) @t927)))))) % 47.09/47.30 (assume @p3043 (forall (@list @t236 @t508 @t2 @t71 @t1667 @t51 @t15) (=> @t4181 (=> @t4194 (=> (= @t4221 (tptp.hAPP (tptp.hAPP @t2497 @t236) @t2)) (=> @t3421 (=> @t4185 (=> (forall @t7 (=> @t176 (forall @t2461 (=> @t3434 (=> @t4220 @t4219))))) @t4184)))))))) % 47.09/47.30 (assume @p3044 (forall (@list @t48 @t4222 @t4223 @t2 @t184 @t4195 @t4200 @t71 @t4198 @t4201 @t15) (=> @t4204 (=> @t4203 (=> @t4202 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t4223) (tptp.hAPP (tptp.hAPP @t3400 @t4201) @t4198))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4226 @t4222) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t71) @t4200) @t4195))) (=> (forall @t374 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t372) @t4201)) (forall (@list @t4225) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t4225) @t4200)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4224 (tptp.hAPP (tptp.hAPP @t2 @t372) @t4225)) @t48)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4224 (tptp.hAPP (tptp.hAPP @t4199 @t4223) (tptp.hAPP (tptp.hAPP @t4197 (tptp.hAPP @t2578 @t4222)) @t2))) @t48)))))))))) % 47.09/47.30 (assume @p3045 (forall (@list @t48 @t508 @t2 @t71 @t1667 @t51 @t15) (=> @t4181 (=> @t4194 (=> @t3421 (=> (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4226 @t5) @t48)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4226 @t4221) @t48)))))))) % 47.09/47.30 (assume @p3046 (forall @t4231 (=> @t4230 (=> @t4229 @t4228)))) % 47.09/47.30 (assume @p3047 (forall @t4234 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4233) (tptp.hAPP (tptp.hAPP @t1274 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t4232)) @t904)))) % 47.09/47.30 (assume @p3048 (forall @t4231 (=> @t4114 @t4228))) % 47.09/47.30 (assume @p3049 (forall (@list @t4235 @t4236) (= (= @t4237 (tptp.c_Code__Numeral_OSuc__code__numeral @t4235)) (= @t4236 @t4235)))) % 47.09/47.30 (assume @p3050 (forall (@list @t4238) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t4238) @t3794)))) % 47.09/47.30 (assume @p3051 (forall (@list @t4239) (not (= @t3794 (tptp.c_Code__Numeral_OSuc__code__numeral @t4239))))) % 47.09/47.30 (assume @p3052 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t3809 (tptp.c_Code__Numeral_OSuc__code__numeral @t369)) @t3808) @t369))) % 47.09/47.30 (assume @p3053 (forall @t4234 (= (tptp.hAPP @t4240 @t4233) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t4240 @t4232)) @t904)))) % 47.09/47.30 (assume @p3054 (forall @t4113 (= (tptp.hAPP @t4241 @t4112) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t4241 @t4111)) @t904)))) % 47.09/47.30 (assume @p3055 (forall @t3974 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t71 @t184 @t15 @t81 @t3948) @t3951))) % 47.09/47.30 (assume @p3056 (forall @t483 (= (tptp.hAPP @t4241 @t369) @t369))) % 47.09/47.30 (assume @p3057 (= (tptp.hAPP @t4241 @t520) @t520)) % 47.09/47.30 (assume @p3058 (= (tptp.hAPP @t4240 @t3794) @t520)) % 47.09/47.30 (assume @p3059 (forall (@list @t35 @t2 @t294 @t290 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t3883 @t4243)) (=> (tptp.c_Orderings_Oorder__class_Omono @t2509 @t2509 @t2) (=> (forall @t3960 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 @t3959) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3859 @t4243) @t4242)))) @t4079)) (tptp.hBOOL (tptp.hAPP @t2389 @t294))))))) % 47.09/47.30 (assume @p3060 (forall (@list @t543 @t1667 @t3961 @t3962 @t294 @t290 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4245 (tptp.hAPP (tptp.hAPP @t4244 @t3882) @t3965)) (tptp.c_Wellfounded_Olex__prod @t15 @t71 @t1667 @t543))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4175 @t3962)) @t1667)) (and @t3963 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4156 (tptp.hAPP (tptp.hAPP @t4152 @t294) @t3961)) @t543))))))) % 47.09/47.30 (assume @p3061 (forall @t170 (= (tptp.c_Equiv__Relations_Oequiv @t15 @t2496 @t51) (tptp.c_Equiv__Relations_Oequivp @t15 (tptp.hAPP @t4251 @t51))))) % 47.09/47.30 (assume @p3062 (forall @t4254 (=> @t4253 @t4252))) % 47.09/47.30 (assume @p3063 (forall @t960 (=> @t4253 @t4255))) % 47.09/47.30 (assume @p3064 (forall (@list @t47 @t387 @t15) (=> @t4253 (tptp.hBOOL (tptp.hAPP @t958 @t47))))) % 47.09/47.30 (assume @p3065 (forall @t4260 (= @t4253 (forall @t787 (= @t4259 @t4258))))) % 47.09/47.30 (assume @p3066 (forall @t594 (tptp.c_Equiv__Relations_Oequivp @t15 tptp.c_fequal))) % 47.09/47.30 (assume @p3067 (forall (@list @t15 @t387 @t128 @t4262 @t71 @t47 @t35) (=> @t168 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4156 (tptp.hAPP (tptp.hAPP @t4152 @t4262) @t128)) @t958)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4245 (tptp.hAPP (tptp.hAPP @t4244 (tptp.hAPP @t3860 @t4262)) @t3861)) @t4261)))))) % 47.09/47.30 (assume @p3068 (forall @t4265 (= (tptp.hAPP @t4042 (tptp.hAPP @t4264 @t47)) (tptp.hAPP (tptp.hAPP @t3849 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t3973 @t184) @t47))) (tptp.hAPP @t2 (tptp.hAPP @t4263 @t47)))))) % 47.09/47.30 (assume @p3069 (forall @t4271 (= (tptp.hAPP @t4270 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3973 @t71 @t184 @t1) @t47)) (tptp.hAPP (tptp.hAPP @t3849 @t4269) @t4267)))) % 47.09/47.30 (assume @p3070 (forall (@list @t128 @t47 @t2 @t71 @t15 @t184) (= (tptp.hAPP @t4270 (tptp.hAPP (tptp.hAPP @t4272 @t47) @t128)) (tptp.hAPP (tptp.hAPP @t3849 @t69) @t128)))) % 47.09/47.30 (assume @p3071 (forall @t4132 (= (tptp.hAPP @t4128 @t4275) @t4274))) % 47.09/47.30 (assume @p3072 (forall (@list @t1 @t47 @t2 @t71 @t15 @t184) (= (= @t4275 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t184 @t15 @t71 @t1) @t47)) (= @t4274 (tptp.hAPP @t1 @t4273))))) % 47.09/47.30 (assume @p3073 (forall @t4101 (= (tptp.hAPP @t4095 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t184 @t71 @t15 @t2) @t47)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t184 @t15) @t47)))) % 47.09/47.30 (assume @p3074 (forall (@list @t1796 @t1 @t3973 @t2 @t15 @t71 @t184) (= (tptp.hAPP @t4042 (tptp.hAPP @t4264 @t1796)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3973 @t15 @t71 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t184 @t71 @t3973 @t2) @t1796))))) % 47.09/47.30 (assume @p3075 (forall @t4282 (=> @t4281 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t543) @t393)) @t4280)))) % 47.09/47.30 (assume @p3076 (forall @t3880 (=> @t3879 (not (forall @t7 (=> @t3877 @t535)))))) % 47.09/47.30 (assume @p3077 (forall (@list @t387 @t2 @t15) (= @t4227 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4283 @t15) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t15 tptp.c_Wellfounded_Oless__than @t387)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t15 @t15 @t4283) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t15 @t4283) @t15) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t15)) @t2)) @t237))))) % 47.09/47.30 (assume @p3078 (= 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))) % 47.09/47.30 (assume @p3079 (forall @t594 (= @t4115 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t15) tptp.c_Wellfounded_Oless__than)))) % 47.09/47.30 (assume @p3080 (forall @t2141 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4284 @t4109) tptp.c_Wellfounded_Oless__than)) @t1993))) % 47.09/47.30 (assume @p3081 (forall @t4282 (=> @t1413 @t4280))) % 47.09/47.30 (assume @p3082 (forall @t4282 (=> @t4281 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t543) @t393)) @t4285)))) % 47.09/47.30 (assume @p3083 (forall @t4300 (=> @t4299 (=> @t4298 (=> (tptp.hBOOL (tptp.hAPP @t4296 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4295 tptp.c_FunDef_Omin__strict))))))) % 47.09/47.30 (assume @p3084 (forall (@list @t508 @t47 @t236 @t128) (=> (tptp.hBOOL (tptp.hAPP @t4303 @t236)) (=> @t4298 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4294 (tptp.hAPP @t4302 @t236)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4294 (tptp.hAPP (tptp.hAPP @t4291 (tptp.hAPP @t4301 @t508)) @t236)) tptp.c_FunDef_Omax__strict))))))) % 47.09/47.30 (assume @p3085 (forall @t4306 (=> (not (= @t508 @t4304)) (tptp.hBOOL (tptp.hAPP @t4305 tptp.c_FunDef_Omin__strict))))) % 47.09/47.30 (assume @p3086 (forall (@list @t236) (=> (tptp.hBOOL (tptp.hAPP @t4308 @t236)) (=> (not (= @t236 @t4304)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4294 (tptp.hAPP @t4307 @t236)) tptp.c_FunDef_Omax__strict)))))) % 47.09/47.30 (assume @p3087 (forall @t4282 (=> @t1413 @t4285))) % 47.09/47.30 (assume @p3088 (forall (@list @t4289 @t47 @t4286 @t128) (=> (tptp.hBOOL (tptp.hAPP @t4303 @t4286)) (=> @t4309 (=> (tptp.hBOOL (tptp.hAPP @t4296 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4294 (tptp.hAPP (tptp.hAPP @t4291 (tptp.hAPP @t4301 @t4289)) @t4286)) tptp.c_FunDef_Omax__weak))))))) % 47.09/47.30 (assume @p3089 (forall @t4300 (=> @t4299 (=> @t4309 (=> (tptp.hBOOL (tptp.hAPP @t4296 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4295 tptp.c_FunDef_Omin__weak))))))) % 47.09/47.30 (assume @p3090 (forall @t4313 (= (tptp.hAPP @t4310 (tptp.hAPP (tptp.hAPP @t4312 @t4176) @t1667)) (tptp.hAPP (tptp.hAPP @t55 @t351) @t4311)))) % 47.09/47.30 (assume @p3091 (forall @t594 (= (tptp.hAPP @t4310 @t3447) @t289))) % 47.09/47.30 (assume @p3092 (forall @t4317 (=> @t4316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4311) @t4314))))) % 47.09/47.30 (assume @p3093 (forall @t4317 (= (tptp.hAPP @t4310 @t4320) (tptp.hAPP (tptp.hAPP @t55 @t4311) @t4314)))) % 47.09/47.30 (assume @p3094 (forall @t3406 (=> @t4322 (tptp.hBOOL (tptp.hAPP @t927 @t4311))))) % 47.09/47.30 (assume @p3095 (forall @t4306 (=> (tptp.hBOOL (tptp.hAPP @t4308 @t508)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4294 (tptp.hAPP @t4307 @t508)) tptp.c_FunDef_Omax__weak))))) % 47.09/47.30 (assume @p3096 (forall @t4306 (tptp.hBOOL (tptp.hAPP @t4305 tptp.c_FunDef_Omin__weak)))) % 47.09/47.30 (assume @p3097 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4325 (tptp.c_Wellfounded_Omin__ext @t4047 tptp.c_FunDef_Opair__leq)) @t4324))) % 47.09/47.30 (assume @p3098 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4325 (tptp.c_Wellfounded_Omax__ext @t4047 tptp.c_FunDef_Opair__leq)) @t4324))) % 47.09/47.30 (assume @p3099 (forall @t170 (= @t4327 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t3403) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t3403 @t3403) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3402 (tptp.tc_fun @t3403 @t3403) @t15) @t4312) @t4326)) @t3447))))) % 47.09/47.30 (assume @p3100 (forall @t170 (= @t4327 (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t15 tptp.tc_HOL_Obool @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2449 (tptp.tc_fun tptp.tc_HOL_Obool @t54) @t15) (tptp.c_COMBC @t15 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t2450 tptp.c_fequal))) @t51))))) % 47.09/47.30 (assume @p3101 (forall @t594 (= (tptp.c_Relation_OId__on @t15 @t289) @t3447))) % 47.09/47.30 (assume @p3102 (forall @t67 (= (tptp.hAPP (tptp.c_Relation_OImage @t15 @t15 @t4327) @t48) @t964))) % 47.09/47.30 (assume @p3103 (forall @t342 (= (tptp.hBOOL (tptp.hAPP @t4118 @t4327)) (and @t129 @t331)))) % 47.09/47.30 (assume @p3104 (forall @t363 (=> @t295 (=> @t293 (tptp.hBOOL (tptp.hAPP @t4177 @t4327)))))) % 47.09/47.30 (assume @p3105 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t4047 tptp.c_FunDef_Opair__less))) % 47.09/47.30 (assume @p3106 (forall (@list @t230 @t161 @t387 @t48 @t51 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4209 @t4328)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t161) @t230)) @t4328)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t182) (tptp.hAPP @t179 @t230))) @t4328)))))) % 47.09/47.30 (assume @p3107 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t4047 tptp.c_FunDef_Opair__less))) % 47.09/47.30 (assume @p3108 (forall (@list @t4329 @t47 @t387 @t15) (= (tptp.c_Wellfounded_Omax__extp @t15 (tptp.hAPP @t4251 @t387) @t47 @t4329) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t47) @t4329)) @t4328))))) % 47.09/47.30 (assume @p3109 (tptp.c_FunDef_Oreduction__pair @t4290 (tptp.hAPP (tptp.hAPP @t4330 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 47.09/47.30 (assume @p3110 (tptp.c_FunDef_Oreduction__pair @t4290 (tptp.hAPP (tptp.hAPP @t4330 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 47.09/47.30 (assume @p3111 (forall @t2467 (=> @t4331 (tptp.c_FunDef_Oreduction__pair @t71 (tptp.hAPP (tptp.hAPP @t4174 @t35) @t2))))) % 47.09/47.30 (assume @p3112 (forall @t2141 (= (= (tptp.hAPP @t4332 (tptp.hAPP @t4301 @t4304)) (tptp.hAPP @t4332 (tptp.hAPP @t4288 @t4304))) (tptp.hBOOL (tptp.hAPP @t4297 tptp.c_Int_Ointrel))))) % 47.09/47.30 (assume @p3113 (forall @t4337 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4278 (tptp.hAPP (tptp.hAPP @t4276 @t4109) @t4336)) tptp.c_Int_Ointrel)) (= @t4335 @t4333)))) % 47.09/47.30 (assume @p3114 (forall @t2847 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 @t281) @t4327)) (not (forall @t7 (=> @t176 (not (= @t281 @t4013)))))))) % 47.09/47.30 (assume @p3115 (tptp.c_Equiv__Relations_Oequiv @t4047 @t4338 tptp.c_Int_Ointrel)) % 47.09/47.30 (assume @p3116 (forall (@list @t1374 @t1144 @t15) (=> @t1517 (= (tptp.hAPP @t3264 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t4029 @t1144) @t1374)) @t4304)))) (tptp.hAPP (tptp.hAPP @t565 (tptp.hAPP @t1832 @t1144)) (tptp.hAPP @t1832 @t1374)))))) % 47.09/47.30 (assume @p3117 (= @t1877 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t4029 @t1449) @t520)) @t4304))))) % 47.09/47.30 (assume @p3118 (forall @t4337 (= (tptp.hAPP (tptp.hAPP @t1891 @t4342) @t4341) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t4340 @t1486)) (tptp.hAPP @t4339 @t3462))) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t4340 @t3462)) (tptp.hAPP @t4339 @t1486)))) @t4304)))))) % 47.09/47.30 (assume @p3119 (forall @t2277 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t4164) @t47))) % 47.09/47.30 (assume @p3120 (forall @t2141 (= (tptp.hAPP @t2970 @t4342) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t4029 @t128) @t47)) @t4304)))))) % 47.09/47.30 (assume @p3121 (= @t1870 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP @t4043 @t520)) @t4304))))) % 47.09/47.30 (assume @p3122 (forall @t1869 (= @t1886 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP @t4343 @t520)) @t4304)))))) % 47.09/47.30 (assume @p3123 (forall @t4337 (= (tptp.hAPP (tptp.hAPP @t1878 @t4342) @t4341) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 (tptp.hAPP (tptp.hAPP @t4029 (tptp.hAPP @t4334 @t1486)) (tptp.hAPP (tptp.hAPP @t1274 @t128) @t3462))) @t4304)))))) % 47.09/47.30 (assume @p3124 (forall @t2141 (= (tptp.hAPP tptp.c_Int_Onat @t4342) @t2002))) % 47.09/47.30 (assume @p3125 (forall @t2032 (= (tptp.hAPP @t2970 @t202) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4047 @t4290) @t4150) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4290) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4346 @t4346 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4290 @t4290 tptp.tc_Nat_Onat) @t4332)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4290 @t4346) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4345 (tptp.tc_fun @t4290 @t4346) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4290 @t4290)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4048 @t4345 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4047 @t4344 tptp.tc_Nat_Onat) @t4287)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4047) @t4029)))) @t4304)))))))) % 47.09/47.30 (assume @p3126 (forall @t4337 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t4342) @t4341)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t4335) @t4333))))) % 47.09/47.30 (assume @p3127 (forall @t4337 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t4342) @t4341)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t4335) @t4333))))) % 47.09/47.30 (assume @p3128 (forall @t2032 (not (forall @t787 (not (= @t202 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4332 (tptp.hAPP (tptp.hAPP @t4287 @t4151) @t4304))))))))) % 47.09/47.30 (assume @p3129 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t4047) @t4338) tptp.c_Int_Ointrel))) % 47.09/47.30 (assume @p3130 (forall @t4348 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t15 @t81 @t771 @t4237) @t4347))) % 47.09/47.30 (assume @p3131 (forall @t2277 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4349 @t4164) tptp.c_Int_OInteg)))) % 47.09/47.30 (assume @p3132 (forall @t772 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t15 @t81 @t771 @t3794) @t81))) % 47.09/47.30 (assume @p3133 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4290 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 47.09/47.30 (assume @p3134 (forall @t4353 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t15 @t4352) @t47)) @t4351))) % 47.09/47.30 (assume @p3135 (forall (@list @t543 @t1667 @t71 @t184 @t15) (= @t4367 (tptp.hAPP @t3831 (tptp.hAPP @t3829 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2678 @t88 @t15) (tptp.hAPP (tptp.c_COMBB @t828 tptp.tc_HOL_Obool @t71) (tptp.c_HOL_OEx @t184))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2678 @t2678) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4365 (tptp.tc_fun @t2678 @t2678) @t15) (tptp.c_COMBB @t828 @t828 @t71)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4364 @t4365 @t15) (tptp.c_COMBS @t184 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t828 @t4364 @t15) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t184) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t4361 @t828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4363 (tptp.tc_fun @t4361 @t828) @t15) (tptp.c_COMBC @t184 @t4361 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t184 @t4359) @t4363 @t15) (tptp.hAPP (tptp.c_COMBB @t4359 @t4362 @t184) @t4360)) @t4040))) @t1667))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t4356 @t828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4358 (tptp.tc_fun @t4356 @t828) @t71) (tptp.c_COMBC @t184 @t4356 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t184 @t4354) @t4358 @t71) (tptp.hAPP (tptp.c_COMBB @t4354 @t4357 @t184) @t4355)) (tptp.hAPP (tptp.c_COMBC @t184 @t71 @t4354) @t4272)))) @t543)))))))) % 47.09/47.30 (assume @p3136 (forall (@list @t543 @t281 @t184 @t1667 @t294 @t290 @t71 @t15) (=> @t3884 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3895 (tptp.hAPP (tptp.hAPP @t3893 @t294) @t281)) @t543)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4360 (tptp.hAPP (tptp.hAPP @t4040 @t290) @t281)) @t4369)))))) % 47.09/47.30 (assume @p3137 (forall (@list @t543 @t1667 @t2607 @t3973 @t71 @t184 @t15) (= (tptp.hAPP (tptp.hAPP @t4366 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3973 @t4361) @t2607) @t1667)) @t543) (tptp.hAPP @t4370 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3973 @t4356 @t2509) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4361 (tptp.tc_fun @t4356 @t2509) @t3973) @t4366) @t1667)) @t543))))) % 47.09/47.30 (assume @p3138 (forall (@list @t1667 @t2607 @t3973 @t543 @t71 @t184 @t15) (= (tptp.hAPP @t4371 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3973 @t4356) @t2607) @t1667)) (tptp.hAPP @t4370 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4356 @t2509 @t3973) @t4371) @t1667))))) % 47.09/47.30 (assume @p3139 (forall @t4373 (= (tptp.hAPP @t4372 (tptp.c_Orderings_Obot__class_Obot @t4356)) @t3867))) % 47.09/47.30 (assume @p3140 (forall @t4373 (= (tptp.hAPP (tptp.hAPP @t4366 (tptp.c_Orderings_Obot__class_Obot @t4361)) @t387) @t3867))) % 47.09/47.30 (assume @p3141 (forall (@list @t387 @t1153 @t386 @t71 @t184 @t15) (= (tptp.hAPP (tptp.hAPP @t4366 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4361) @t386) @t1153)) @t387) (tptp.hAPP (tptp.hAPP @t3865 (tptp.hAPP (tptp.hAPP @t4366 @t386) @t387)) (tptp.hAPP (tptp.hAPP @t4366 @t1153) @t387))))) % 47.09/47.30 (assume @p3142 (forall (@list @t1153 @t386 @t387 @t71 @t184 @t15) (= (tptp.hAPP @t4372 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4356) @t386) @t1153)) (tptp.hAPP (tptp.hAPP @t3865 (tptp.hAPP @t4372 @t386)) (tptp.hAPP @t4372 @t1153))))) % 47.09/47.30 (assume @p3143 (forall (@list @t1153 @t386 @t387 @t3973 @t71 @t184 @t15) (= (tptp.hAPP (tptp.hAPP @t4366 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t15 @t3973 @t184) @t387) @t386)) @t1153) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t15 @t3973 @t71) @t387) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t3973 @t184 @t71) @t386) @t1153))))) % 47.09/47.30 (assume @p3144 (forall (@list @t543 @t4374 @t184 @t1667 @t3425 @t71 @t15) (=> @t3427 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4376 @t4374) @t543)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4375 (tptp.hAPP (tptp.hAPP @t4368 @t3425) @t4374)) @t4369)))))) % 47.09/47.30 (assume @p3145 (forall @t235 (=> @t4379 (=> (= (tptp.hAPP (tptp.hAPP @t4377 @t48) @t161) @t3447) (= (tptp.hAPP (tptp.hAPP @t4377 (tptp.hAPP (tptp.hAPP @t4318 @t51) @t48)) @t161) @t3447))))) % 47.09/47.30 (assume @p3146 (forall @t164 (=> (= (tptp.hAPP @t4378 @t48) @t3447) (=> @t4379 (= (tptp.hAPP @t4378 (tptp.hAPP (tptp.hAPP @t4318 @t48) @t161)) @t3447))))) % 47.09/47.30 (assume @p3147 (forall @t4088 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t4085) @t4086)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.c_Wellfounded_Oacc @t15 @t4086)) (tptp.c_Wellfounded_Oacc @t15 @t4085)))))) % 47.09/47.30 (assume @p3148 (forall (@list @t290 @t1667 @t294 @t15) (=> @t4381 (=> @t4178 @t4380)))) % 47.09/47.30 (assume @p3149 (forall @t4383 (= @t4380 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t290)) @t1667)) @t4382))))) % 47.09/47.30 (assume @p3150 (forall @t392 (=> @t4390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4387 @t4328) (tptp.hAPP (tptp.hAPP @t4386 (tptp.c_Wellfounded_Omax__ext @t15 @t386)) @t4385))) @t4328))))) % 47.09/47.30 (assume @p3151 (forall @t392 (=> @t4390 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4388 (tptp.hAPP (tptp.hAPP @t4387 @t4391) (tptp.hAPP (tptp.hAPP @t4386 (tptp.c_Wellfounded_Omin__ext @t15 @t386)) @t4385))) @t4391))))) % 47.09/47.30 (assume @p3152 (forall @t4395 (=> @t4394 (= (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t4392) @t2496) @t51)))) % 47.09/47.30 (assume @p3153 (forall @t4395 (=> @t4394 (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 @t4393) @t51) @t2496)))) % 47.09/47.30 (assume @p3154 (forall @t4398 (=> @t4394 (=> @t313 (=> @t4397 (= (= (tptp.hAPP @t4393 @t47) @t4396) @t129)))))) % 47.09/47.30 (assume @p3155 (forall @t4398 (=> @t4394 (= (= @t4399 (tptp.hAPP @t4392 @t128)) @t129)))) % 47.09/47.30 (assume @p3156 (forall @t4400 (=> @t4394 (= (tptp.hAPP @t4393 @t4399) @t47)))) % 47.09/47.30 (assume @p3157 (forall @t4400 (=> @t4394 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 @t4399) @t51))))) % 47.09/47.30 (assume @p3158 (forall (@list @t128 @t51 @t4393 @t4392 @t71 @t15) (=> @t4394 (=> @t4397 (= (tptp.hAPP @t4392 @t4396) @t128))))) % 47.09/47.30 (assume @p3159 (forall (@list @t128 @t47 @t543 @t1667 @t184 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t15 @t71 @t184 @t4401 (tptp.hAPP @t3900 @t543)) @t47) @t128)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4360 @t4041) @t4369))))) % 47.09/47.30 (assume @p3160 (forall @t392 (=> @t4402 (=> @t4390 (tptp.c_FunDef_Oreduction__pair @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3403 @t3403) @t387) @t386)))))) % 47.09/47.30 (assume @p3161 (forall (@list @t277 @t278 @t387 @t15) (= (tptp.c_Wellfounded_Omax__extp @t15 @t387 @t278 @t277) (and @t4408 @t4407 @t4406 (forall @t7 (=> @t4405 (exists @t426 (and @t4404 @t4403)))))))) % 47.09/47.30 (assume @p3162 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 47.09/47.30 (assume @p3163 (forall (@list @t184 @t71 @t15 @t281 @t543 @t294 @t290 @t1667) (=> @t4106 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t543 @t294) @t281)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4409 @t290) @t281)))))) % 47.09/47.30 (assume @p3164 (forall @t594 (tptp.c_Wellfounded_Owf @t15 @t3447))) % 47.09/47.30 (assume @p3165 (forall @t4412 (=> @t4411 (tptp.c_Wellfounded_Owf @t71 @t4410)))) % 47.09/47.30 (assume @p3166 (forall (@list @t4413 @t71 @t4414 @t15) (=> (tptp.c_Wellfounded_Owf @t15 @t4414) (=> (tptp.c_Wellfounded_Owf @t71 @t4413) (tptp.c_Wellfounded_Owf @t2508 (tptp.c_Wellfounded_Olex__prod @t15 @t71 @t4414 @t4413)))))) % 47.09/47.30 (assume @p3167 (forall @t433 (tptp.c_Wellfounded_Owf @t15 @t4116))) % 47.09/47.30 (assume @p3168 (forall @t4260 (= @t4402 (tptp.c_Wellfounded_Owf @t15 @t4415)))) % 47.09/47.30 (assume @p3169 (forall @t4416 (=> @t4411 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t1796) @t1667)) (tptp.c_Wellfounded_Owf @t15 @t1796))))) % 47.09/47.30 (assume @p3170 (forall @t3406 (=> @t4411 (tptp.c_Wellfounded_Owf @t54 (tptp.c_Wellfounded_Omin__ext @t15 @t1667))))) % 47.09/47.30 (assume @p3171 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4418 (tptp.hAPP @t4417 @t816)))) % 47.09/47.30 (assume @p3172 (forall (@list @t276 @t278 @t543 @t1667 @t184 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4409 @t278) @t276)) (exists @t1114 (and (tptp.hBOOL (tptp.hAPP @t4419 @t1111)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t543 @t1111) @t276))))))) % 47.09/47.30 (assume @p3173 (forall @t4422 (=> @t4411 (tptp.c_Wellfounded_Owf @t15 (tptp.hAPP @t4421 @t3425))))) % 47.09/47.30 (assume @p3174 (forall @t4422 (=> @t4411 (tptp.c_Wellfounded_Owf @t15 (tptp.hAPP (tptp.hAPP @t4420 @t3425) @t1667))))) % 47.09/47.30 (assume @p3175 (forall @t594 (tptp.c_Wellfounded_Owf @t54 @t4205))) % 47.09/47.30 (assume @p3176 (forall (@list @t2 @t387 @t15) (=> @t4402 (tptp.c_Wellfounded_Owf @t15 @t4227)))) % 47.09/47.30 (assume @p3177 (tptp.c_Wellfounded_Owf @t4047 tptp.c_FunDef_Opair__less)) % 47.09/47.30 (assume @p3178 (forall @t3406 (=> @t4411 (tptp.c_Wellfounded_Owf @t54 (tptp.c_Wellfounded_Omax__ext @t15 @t1667))))) % 47.09/47.30 (assume @p3179 (forall @t4105 (=> @t4411 (not @t4424)))) % 47.09/47.30 (assume @p3180 (forall (@list @t47 @t290 @t1667 @t15) (=> @t4411 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4175 @t47)) @t1667)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4117 @t290)) @t1667))))))) % 47.09/47.30 (assume @p3181 (forall @t3826 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3825))) % 47.09/47.30 (assume @p3182 (forall @t3826 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t3828))) % 47.09/47.30 (assume @p3183 (forall @t3406 (= @t4411 (forall @t7 @t4382)))) % 47.09/47.30 (assume @p3184 (forall @t4353 (=> @t4411 @t4351))) % 47.09/47.30 (assume @p3185 (forall @t4260 (=> (= @t4415 @t3447) @t4402))) % 47.09/47.30 (assume @p3186 (forall @t392 (= @t4427 (tptp.c_Wellfounded_Owf @t15 (tptp.hAPP (tptp.hAPP @t4318 (tptp.hAPP (tptp.hAPP @t4318 @t4415) (tptp.hAPP (tptp.hAPP @t4377 @t386) @t387))) @t386))))) % 47.09/47.30 (assume @p3187 (forall @t3406 (= @t4411 (not (exists @t579 (forall @t952 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 (tptp.hAPP @t578 @t3432)) (tptp.hAPP @t578 @t948))) @t1667)))))))) % 47.09/47.30 (assume @p3188 (forall (@list @t51 @t387 @t15) (=> @t4402 (=> (tptp.hBOOL (tptp.hAPP @t65 (tptp.hAPP @t4428 @t51))) @t327)))) % 47.09/47.30 (assume @p3189 (forall @t392 (=> @t4402 (=> @t4429 (=> @t4390 @t4427))))) % 47.09/47.30 (assume @p3190 (forall @t594 (=> @t468 (tptp.c_Wellfounded_Owf @t15 (tptp.hAPP @t4161 (tptp.hAPP @t4160 @t714)))))) % 47.09/47.30 (assume @p3191 (forall @t376 (= @t4331 (and (tptp.c_Wellfounded_Owf @t15 @t4430) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP (tptp.hAPP @t4377 @t4430) @t4431)) @t4430)))))) % 47.09/47.30 (assume @p3192 (forall (@list @t386 @t387 @t35 @t15) (=> @t4331 (=> (tptp.hBOOL (tptp.hAPP @t4433 @t4430)) (=> (tptp.hBOOL (tptp.hAPP @t4432 @t4431)) (=> @t4429 @t4427)))))) % 47.09/47.30 (assume @p3193 (forall @t3406 (=> @t4411 (tptp.c_Wellfounded_Owf @t4435 @t4434)))) % 47.09/47.30 (assume @p3194 (forall (@list @t15 @t1 @t2 @t35) (=> (forall @t7 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t15 (tptp.hAPP @t4161 (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP @t3408 @t2393) (tptp.hAPP @t2448 @t1)))))))) % 47.09/47.30 (assume @p3195 (forall @t4443 (=> @t4442 (=> @t4441 (=> @t4440 (=> (forall @t7 (=> @t4439 (exists @t426 (and @t4438 @t4437)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t508) @t236)) @t4328)))))))) % 47.09/47.30 (assume @p3196 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4418 (tptp.hAPP @t4417 (tptp.hAPP (tptp.hAPP @t4444 (tptp.hAPP @t2369 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 47.09/47.30 (assume @p3197 (forall @t3406 (=> @t4411 (tptp.c_Wellfounded_Owf @t4435 @t4445)))) % 47.09/47.30 (assume @p3198 (forall @t4448 (=> @t4411 (tptp.c_Wellfounded_Owf @t4435 @t4447)))) % 47.09/47.30 (assume @p3199 (forall @t3406 (= @t4445 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4450) @t2495) @t4446)))) % 47.09/47.30 (assume @p3200 (forall @t3406 (= (tptp.hAPP @t4446 @t520) (tptp.c_Orderings_Obot__class_Obot @t4450)))) % 47.09/47.30 (assume @p3201 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 47.09/47.30 (assume @p3202 (forall (@list @t15 @t387 @t71 @t35) (=> (forall @t7 (=> @t172 (tptp.c_Wellfounded_Owf @t71 @t4257))) (tptp.c_Wellfounded_Owf @t2508 @t4261)))) % 47.09/47.30 (assume @p3203 (forall @t1458 (= (tptp.c_Nitpick_Ozero__frac @t76) (tptp.c_Nitpick_OAbs__Frac @t76 @t3934)))) % 47.09/47.30 (assume @p3204 (forall @t3873 (= (tptp.hAPP @t4455 @t4454) (tptp.hAPP @t2386 (tptp.hAPP @t4453 @t4451))))) % 47.09/47.30 (assume @p3205 (forall @t4457 (=> @t3884 (tptp.hBOOL (tptp.hAPP @t404 @t4456))))) % 47.09/47.30 (assume @p3206 (forall @t170 (= (tptp.hAPP @t4458 @t4327) @t51))) % 47.09/47.30 (assume @p3207 (forall @t1515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t529 @t4460) @t4459)) (tptp.hAPP @t4455 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3430) @t51) @t48)))))) % 47.09/47.30 (assume @p3208 (forall @t4462 (= (tptp.hAPP @t4455 @t4461) @t289))) % 47.09/47.30 (assume @p3209 (forall @t4464 (= (= @t4463 @t289) (= @t1667 @t4461)))) % 47.09/47.30 (assume @p3210 (forall @t2601 (= (tptp.hAPP @t4455 (tptp.hAPP (tptp.hAPP @t3431 @t51) @t48)) (tptp.hAPP (tptp.hAPP @t55 @t4460) @t4459)))) % 47.09/47.30 (assume @p3211 (forall @t4466 (=> @t4465 (tptp.hBOOL (tptp.hAPP @t1082 @t4456))))) % 47.09/47.30 (assume @p3212 (forall @t3422 (= (tptp.hAPP (tptp.c_Set_Oimage @t3429 @t15 @t4095) @t387) (tptp.hAPP @t4455 @t387)))) % 47.09/47.30 (assume @p3213 (forall @t4467 (= (tptp.hBOOL (tptp.hAPP @t291 @t4463)) (exists @t2461 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3876 (tptp.hAPP (tptp.hAPP @t3874 @t783) @t290)) @t1667)))))) % 47.09/47.30 (assume @p3214 (forall (@list @t1667 @t294 @t290 @t15 @t71) (= (tptp.hAPP @t4455 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3429) @t3907) @t1667)) (tptp.hAPP @t298 @t4463)))) % 47.09/47.30 (assume @p3215 (forall @t1515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t4455 (tptp.hAPP (tptp.hAPP @t4468 @t51) @t48))) (tptp.hAPP (tptp.hAPP @t962 @t4460) @t4459))))) % 47.09/47.30 (assume @p3216 (forall @t1458 (= (tptp.c_Nitpick_Oone__frac @t76) (tptp.c_Nitpick_OAbs__Frac @t76 (tptp.hAPP (tptp.hAPP @t3843 @t1877) @t1877))))) % 47.09/47.30 (assume @p3217 (forall @t1923 (= (tptp.c_Nitpick_Onumber__of__frac @t76 @t369) (tptp.c_Nitpick_OAbs__Frac @t76 (tptp.hAPP (tptp.hAPP @t3843 @t369) @t1877))))) % 47.09/47.30 (assume @p3218 (forall @t2507 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t15 @t71 @t4401) @t47)) (tptp.hBOOL (tptp.hAPP @t312 @t4456))))) % 47.09/47.30 (assume @p3219 (forall @t4470 (=> @t4106 (tptp.hBOOL (tptp.hAPP @t4469 @t294))))) % 47.09/47.30 (assume @p3220 (forall (@list @t277 @t1667 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP @t4469 @t277)) (exists @t938 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1667 @t935) @t277)))))) % 47.09/47.30 (assume @p3221 (forall @t155 (= (tptp.hAPP (tptp.hAPP @t4471 @t112) @t116) (tptp.c_Nitpick_OAbs__Frac @t76 (tptp.c_Nitpick_Onorm__frac @t112 @t116))))) % 47.09/47.30 (assume @p3222 (forall (@list @t1667 @t71 @t294 @t15) (=> (tptp.hBOOL (tptp.hAPP @t309 @t4463)) (not (forall @t7 (not @t3877)))))) % 47.09/47.30 (assume @p3223 (forall @t4317 (=> @t4411 (=> (tptp.c_Wellfounded_Owf @t15 @t543) (=> (= (tptp.hAPP (tptp.hAPP @t962 @t4473) (tptp.hAPP @t4458 @t543)) @t289) (tptp.c_Wellfounded_Owf @t15 @t4320)))))) % 47.09/47.30 (assume @p3224 (forall @t4457 (=> @t3884 @t4476))) % 47.09/47.30 (assume @p3225 (forall @t170 (= (tptp.hAPP @t4472 @t4327) @t51))) % 47.09/47.30 (assume @p3226 (forall @t2515 (= (tptp.hAPP @t4474 @t3867) @t289))) % 47.09/47.30 (assume @p3227 (forall @t4466 (= (= @t4475 @t289) (= @t1667 @t3867)))) % 47.09/47.30 (assume @p3228 (forall @t4479 (=> @t4478 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4475) (tptp.hAPP @t4474 @t543)))))) % 47.09/47.30 (assume @p3229 (forall @t1515 (= (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t3865 @t51) @t48)) (tptp.hAPP (tptp.hAPP @t55 @t4481) @t4480)))) % 47.09/47.30 (assume @p3230 (forall @t4466 (=> @t4465 (tptp.hBOOL (tptp.hAPP @t927 @t4475))))) % 47.09/47.30 (assume @p3231 (forall @t4482 (= (tptp.hAPP (tptp.c_Set_Oimage @t2508 @t15 @t4128) @t387) (tptp.hAPP @t4474 @t387)))) % 47.09/47.30 (assume @p3232 (forall @t4467 (= @t4476 (exists @t2461 @t4483)))) % 47.09/47.30 (assume @p3233 (forall @t4457 (= (tptp.hAPP @t4474 (tptp.hAPP @t4485 @t1667)) (tptp.hAPP @t318 @t4475)))) % 47.09/47.30 (assume @p3234 (forall @t1515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t3859 @t51) @t48))) (tptp.hAPP (tptp.hAPP @t962 @t4481) @t4480))))) % 47.09/47.30 (assume @p3235 (forall @t1515 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t529 @t4481) @t4480)) (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t4486 @t51) @t48)))))) % 47.09/47.30 (assume @p3236 (forall @t3406 (= @t4311 (tptp.hAPP (tptp.hAPP @t55 @t4473) @t4487)))) % 47.09/47.30 (assume @p3237 (forall @t3979 (= (tptp.hAPP @t4474 @t4242) (tptp.hAPP @t2386 (tptp.hAPP @t4453 @t35))))) % 47.09/47.30 (assume @p3238 (forall @t2507 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t15 @t71 @t4401) @t47)) (tptp.hBOOL (tptp.hAPP @t323 @t4475))))) % 47.09/47.30 (assume @p3239 (forall @t4467 (=> @t4476 (not (forall @t2461 (not @t4483)))))) % 47.09/47.30 (assume @p3240 (forall (@list @t51 @t1 @t2 @t71 @t15 @t184) (= (tptp.hAPP (tptp.c_Set_Oimage @t184 @t2508 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t184 @t71 @t2508) @t4490) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t4489 @t4488) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t828 @t88 @t15) @t186) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t828 @t828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t828 @t4365 @t15) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t828)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t828 @t15) (tptp.c_Set_Ovimage @t184 @t15 @t2)) @t514))) @t51)))))) % 47.09/47.30 (assume @p3241 (forall @t4470 (=> @t4106 (tptp.hBOOL (tptp.hAPP @t4491 @t290))))) % 47.09/47.30 (assume @p3242 (forall @t2555 (=> @t293 (=> @t2554 @t4494)))) % 47.09/47.30 (assume @p3243 (forall (@list @t48 @t71 @t15) (= (tptp.hAPP (tptp.hAPP @t4489 @t289) @t48) @t3867))) % 47.09/47.30 (assume @p3244 (forall @t4501 (=> @t4500 (= (= @t4499 @t4497) @t61)))) % 47.09/47.30 (assume @p3245 (forall @t1515 (= (tptp.hAPP @t4504 @t4503) (tptp.hAPP (tptp.hAPP @t1625 @t1208) @t1420)))) % 47.09/47.30 (assume @p3246 (forall @t835 (=> @t834 (= @t833 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3891 @t15) @t3971) @t4507))))) % 47.09/47.30 (assume @p3247 (forall @t1515 (= (= @t4503 @t3867) (or @t327 @t1529)))) % 47.09/47.30 (assume @p3248 (forall @t881 (= (tptp.hAPP @t4492 (tptp.hAPP @t2602 @t377)) @t3867))) % 47.09/47.30 (assume @p3249 (forall @t881 (= (tptp.hAPP @t4510 (tptp.hAPP @t4508 @t4509)) (tptp.hAPP @t4508 (tptp.hAPP @t2602 @t2892))))) % 47.09/47.30 (assume @p3250 (forall @t881 (= (tptp.hAPP @t4510 (tptp.hAPP @t4492 @t4511)) (tptp.hAPP (tptp.hAPP @t4489 @t2845) @t4511)))) % 47.09/47.30 (assume @p3251 (forall @t835 (=> @t2247 (= (tptp.hAPP (tptp.hAPP @t2878 (tptp.hAPP (tptp.hAPP @t832 (tptp.hAPP (tptp.hAPP @t830 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t184 @t15)) @t2)) @t48)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3891 @t15) @t3971) @t4507))))) % 47.09/47.30 (assume @p3252 (forall @t4515 (= (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP (tptp.hAPP @t55 @t2607) @t2640)) @t161) (tptp.hAPP (tptp.hAPP @t3865 @t4514) @t4512)))) % 47.09/47.30 (assume @p3253 (forall @t4520 (= (tptp.hAPP (tptp.hAPP @t4489 @t57) @t4516) (tptp.hAPP (tptp.hAPP @t3865 @t4519) @t4518)))) % 47.09/47.30 (assume @p3254 (forall @t2611 (= (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP @t4523 @t2570) @t48)) (tptp.hAPP (tptp.hAPP @t3865 @t4522) @t4521)))) % 47.09/47.30 (assume @p3255 (forall (@list @t161 @t543 @t184 @t48 @t51 @t1667 @t71 @t15) (=> @t4527 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4376 @t543) (tptp.hAPP (tptp.hAPP @t4506 @t48) (tptp.hAPP @t4505 @t161)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4375 @t4369) (tptp.hAPP @t4526 (tptp.hAPP @t4524 @t161)))))))) % 47.09/47.30 (assume @p3256 (forall @t2601 (= (tptp.hAPP (tptp.c_Set_Oimage @t3429 @t2508 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t15 @t2508) @t4529)) @t4528) (tptp.hAPP @t4517 @t4509)))) % 47.09/47.30 (assume @p3257 (forall @t1433 (=> @t928 (=> @t1094 @t4530)))) % 47.09/47.30 (assume @p3258 (forall @t3405 (=> @t4181 @t4534))) % 47.09/47.30 (assume @p3259 (forall @t2611 (= (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP @t4523 @t4535) @t48)) (tptp.hAPP (tptp.hAPP @t3859 @t4522) @t4521)))) % 47.09/47.30 (assume @p3260 (forall @t4520 (= (tptp.hAPP (tptp.hAPP @t4489 @t964) @t4516) (tptp.hAPP (tptp.hAPP @t3859 @t4519) @t4518)))) % 47.09/47.30 (assume @p3261 (forall @t4515 (= (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP (tptp.hAPP @t962 @t2607) @t2640)) @t161) (tptp.hAPP (tptp.hAPP @t3859 @t4514) @t4512)))) % 47.09/47.30 (assume @p3262 (forall @t170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t4327) @t4533)))) % 47.09/47.30 (assume @p3263 (forall @t4515 (= (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP (tptp.hAPP @t529 @t2607) @t2640)) @t161) (tptp.hAPP (tptp.hAPP @t4486 @t4514) @t4512)))) % 47.09/47.30 (assume @p3264 (forall @t4520 (= (tptp.hAPP (tptp.hAPP @t4489 @t537) @t4516) (tptp.hAPP (tptp.hAPP @t4486 @t4519) @t4518)))) % 47.09/47.30 (assume @p3265 (forall @t2611 (= (tptp.hAPP @t4513 (tptp.hAPP (tptp.hAPP @t4523 @t4536) @t48)) (tptp.hAPP (tptp.hAPP @t4486 @t4522) @t4521)))) % 47.09/47.30 (assume @p3266 (forall (@list @t278 @t1667 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP @t4491 @t278)) (exists @t374 (tptp.hBOOL (tptp.hAPP @t4419 @t372)))))) % 47.09/47.30 (assume @p3267 (forall @t2515 (= (tptp.hAPP @t4508 @t4511) @t2510))) % 47.09/47.30 (assume @p3268 (forall @t4537 (=> @t4494 (not (=> @t293 (not @t2554)))))) % 47.09/47.30 (assume @p3269 (forall @t4537 (=> @t4494 @t2554))) % 47.09/47.30 (assume @p3270 (forall @t4537 (=> @t4494 @t293))) % 47.09/47.30 (assume @p3271 (forall @t4537 (= @t4494 (and @t293 @t2554)))) % 47.09/47.30 (assume @p3272 (forall (@list @t51 @t47 @t71 @t15) (= (tptp.hAPP @t4504 (tptp.hAPP (tptp.hAPP @t4489 @t384) @t4509)) @t1406))) % 47.09/47.30 (assume @p3273 (forall @t4501 (=> @t4500 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4539 @t4499) @t4497)) (tptp.hBOOL (tptp.hAPP @t4538 @t48)))))) % 47.09/47.30 (assume @p3274 (forall (@list @t161 @t48 @t51 @t1667 @t71 @t15) (=> @t4527 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 (tptp.hAPP @t3423 @t161)) @t48))))) % 47.09/47.30 (assume @p3275 (forall @t1515 (=> @t4530 (=> (not @t1529) @t928)))) % 47.09/47.30 (assume @p3276 (forall @t1515 (=> @t4530 (=> @t329 @t1094)))) % 47.09/47.30 (assume @p3277 (forall @t4542 (= (tptp.hAPP @t3831 (tptp.hAPP @t3829 (tptp.hAPP (tptp.hAPP @t512 @t4541) @t34))) (tptp.hAPP @t4540 (tptp.hAPP @t2602 (tptp.hAPP @t2421 @t34)))))) % 47.09/47.30 (assume @p3278 (forall @t4542 (= (tptp.hAPP @t3831 (tptp.hAPP @t3829 (tptp.hAPP (tptp.hAPP @t4523 @t4541) @t34))) (tptp.hAPP @t4540 (tptp.hAPP @t2422 @t34))))) % 47.09/47.30 (assume @p3279 (forall (@list @t51 @t71 @t15 @t48) (and (=> @t410 (= @t4543 @t377)) (=> @t1124 (= @t4543 @t51))))) % 47.09/47.30 (assume @p3280 (forall (@list @t48 @t71 @t15 @t51) (and (=> @t327 (= @t4544 @t377)) (=> @t329 (= @t4544 @t48))))) % 47.09/47.30 (assume @p3281 (forall (@list @t48 @t294 @t51 @t290 @t71 @t15) (= (tptp.hAPP @t4545 @t4546) (tptp.hAPP @t4485 (tptp.hAPP (tptp.hAPP @t3865 (tptp.hAPP @t4492 @t4546)) (tptp.hAPP @t4545 @t4502)))))) % 47.09/47.30 (assume @p3282 (forall (@list @t508 @t1667 @t51 @t15) (=> @t928 (=> @t4534 (=> @t3421 @t4442))))) % 47.09/47.30 (assume @p3283 (forall (@list @t1062 @t4547 @t48 @t51 @t71 @t15 @t3973 @t184) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4552 @t2509) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t184 @t3973) @t51) (tptp.hAPP (tptp.c_COMBK @t4551 @t184) @t48))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t184 @t3973 @t2509) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t184 @t4550 @t4549) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4548 (tptp.tc_fun @t4550 @t4549) @t184) (tptp.c_COMBB @t3830 @t2509 @t3973)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 @t4548 @t184) @t4489) @t4547))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t3830 @t3973) @t2602) @t1062)))) (tptp.hAPP (tptp.hAPP @t4489 (tptp.hAPP @t2588 @t4547)) (tptp.hAPP @t2602 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3973 @t88) @t48) @t1062)))))) % 47.09/47.30 (assume @p3284 (forall @t1515 (= @t4493 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 @t2509) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t15 @t4555 @t2509) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 (tptp.tc_fun @t4555 @t2509) @t15) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t71 @t2509)) @t48)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2509 @t4555) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4554 (tptp.tc_fun @t2509 @t4555) @t15) (tptp.c_COMBC @t71 @t2509 @t2509)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 @t4554 @t15) (tptp.hAPP (tptp.c_COMBB @t2508 @t4553 @t71) @t4484)) @t3849))) @t3867)))))) % 47.09/47.30 (assume @p3285 (forall @t3405 (=> @t928 (=> @t4534 (tptp.hBOOL (tptp.hAPP @t1093 @t3401)))))) % 47.09/47.30 (assume @p3286 (forall (@list @t48 @t51 @t1 @t2 @t71 @t15 @t184) (=> (tptp.class_Rings_Osemiring__0 @t184) (=> (tptp.c_Fun_Oinj__on @t2508 @t184 (tptp.hAPP @t3925 @t4558) @t4503) (= (tptp.hAPP (tptp.hAPP @t4556 (tptp.hAPP (tptp.hAPP @t932 @t2) @t51)) (tptp.hAPP (tptp.hAPP @t933 @t1) @t48)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t184 @t184) (tptp.c_Fun_Oid @t184)) (tptp.hAPP (tptp.c_Set_OCollect @t184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t184) @t2452) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3830 @t54 @t184) @t4453) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t184 @t3830 @t3830) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4563 (tptp.tc_fun @t3830 @t3830) @t184) @t4523) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4562 @t4563 @t184) (tptp.hAPP (tptp.c_COMBB @t4561 @t509 @t15) @t2419)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3830 @t4562 @t184) (tptp.hAPP (tptp.c_COMBB @t88 @t4561 @t15) @t2418)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t184 @t4560 @t3830) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4559 (tptp.tc_fun @t4560 @t3830) @t184) (tptp.c_COMBB @t2425 @t88 @t15)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t828 @t4559 @t184) (tptp.c_COMBB @t184 tptp.tc_HOL_Obool @t71)) tptp.c_fequal))) @t4558))))) @t3833)))))))))) % 47.09/47.30 (assume @p3287 (forall (@list @t51 @t2607 @t71 @t15) (exists @t579 (and (tptp.c_Fun_Oinj__on @t15 @t3429 @t578 @t2610) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4539 (tptp.hAPP (tptp.c_Set_Oimage @t15 @t3429 @t578) @t2610)) (tptp.hAPP (tptp.hAPP @t4496 @t2607) @t51))))))) % 47.09/47.30 (assume @p3288 (forall (@list @t1 @t48 @t71 @t51 @t15 @t184) (=> @t4567 (=> @t928 (=> @t2524 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4566 (tptp.hAPP (tptp.hAPP @t2427 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t184 @t2424) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2425 (tptp.tc_fun @t184 @t2424) @t15) @t4565) @t1)) @t4564)) @t48)) @t4564) @t51) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t184 @t2508 @t4556) (tptp.hAPP @t3925 @t1)) @t4564) @t4493))))))) % 47.09/47.30 (assume @p3289 (forall @t238 (= (tptp.hAPP @t4569 @t236) @t236))) % 47.09/47.30 (assume @p3290 (forall @t4462 (= (tptp.c_Product__Type_Oapsnd @t71 @t71 @t15 @t4571) @t4570))) % 47.09/47.30 (assume @p3291 (forall (@list @t4572 @t76) (= (tptp.hAPP @t4573 @t4572) @t4572))) % 47.09/47.30 (assume @p3292 (forall @t170 (= (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t15 @t4568) @t51) @t51))) % 47.09/47.30 (assume @p3293 (forall @t80 (= (tptp.hAPP @t4573 @t75) @t75))) % 47.09/47.30 (assume @p3294 (forall @t170 (tptp.c_Fun_Oinj__on @t15 @t15 @t4568 @t51))) % 47.09/47.30 (assume @p3295 (forall @t2515 (= (tptp.c_Product__Type_Oapfst @t15 @t15 @t71 @t4568) @t4570))) % 47.09/47.30 (assume @p3296 (= @t3268 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 47.09/47.30 (assume @p3297 (forall @t594 (= (tptp.hAPP @t4569 @t2496) @t2496))) % 47.09/47.30 (assume @p3298 (forall @t2515 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t2508) @t3849) @t4570))) % 47.09/47.30 (assume @p3299 (forall @t4574 (=> @t954 (=> @t848 (= @t944 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t71 @t71) @t4571) @t221)))))) % 47.09/47.30 (assume @p3300 (forall @t4574 (=> @t1545 (=> @t848 (= @t3161 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t71 @t71) @t4571) @t221)))))) % 47.09/47.30 (assume @p3301 (forall @t4577 (=> @t4567 (=> @t928 (=> @t2524 (= (tptp.hAPP (tptp.hAPP @t4576 (tptp.hAPP (tptp.hAPP @t2427 (tptp.hAPP (tptp.hAPP @t2426 @t4575) @t2)) @t48)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2508 @t184) @t3926) @t4493))))))) % 47.09/47.30 (assume @p3302 (forall @t4577 (=> @t940 (=> @t928 (=> @t2524 (= (tptp.hAPP (tptp.hAPP @t932 (tptp.hAPP @t2428 @t48)) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2508 @t184) @t3926) @t4493))))))) % 47.09/47.30 (assume @p3303 (forall @t1433 (=> @t928 (=> @t2524 (= (tptp.hAPP @t4504 @t4493) (tptp.hAPP (tptp.hAPP @t794 (tptp.hAPP @t2438 @t48)) @t51)))))) % 47.09/47.30 (assume @p3304 (forall @t1433 (=> @t928 (=> @t2824 (tptp.hBOOL (tptp.hAPP @t2511 @t4493)))))) % 47.09/47.30 (assume @p3305 (forall (@list @t48 @t51 @t281 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4581 @t4493)) (not (forall @t7 (=> @t176 (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t4580 @t2519)) (not (= @t281 @t4579)))))))))) % 47.09/47.30 (assume @p3306 (forall (@list @t1 @t184 @t3973 @t2 @t15 @t71) (=> @t2729 (=> (= (tptp.hAPP @t4585 (tptp.c_Orderings_Otop__class_Otop @t4551)) @t4584) (= (tptp.hAPP @t4583 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4582 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4361)))))) % 47.09/47.30 (assume @p3307 (forall (@list @t1 @t2 @t3973 @t184 @t387 @t294 @t290 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t3883 @t387)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP (tptp.hAPP @t4588 @t397) @t4587)) (tptp.hAPP (tptp.c_Set_Oimage @t2508 @t4552 @t4586) @t387)))))) % 47.09/47.30 (assume @p3308 (forall (@list @t294 @t290 @t1 @t2 @t71 @t3973 @t15 @t184) (= (tptp.hAPP @t4590 (tptp.hAPP (tptp.hAPP @t4588 @t290) @t294)) (tptp.hAPP (tptp.hAPP @t3849 @t397) @t4587)))) % 47.09/47.30 (assume @p3309 (forall (@list @t202 @t71 @t15) (= (tptp.hAPP @t4591 @t202) @t202))) % 47.09/47.30 (assume @p3310 (forall (@list @t47 @t1 @t2 @t3973 @t184 @t15 @t71) (= (tptp.hAPP @t4095 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t184 @t71 @t3973 @t15 @t2 @t1) @t47)) @t4267))) % 47.09/47.30 (assume @p3311 (forall (@list @t47 @t1 @t2 @t3973 @t184 @t71 @t15) (= (tptp.hAPP @t4128 (tptp.hAPP @t4590 @t47)) @t4269))) % 47.09/47.30 (assume @p3312 (forall @t2515 (= @t4591 @t4570))) % 47.09/47.30 (assume @p3313 (forall (@list @t2 @t15 @t184 @t71) (= (tptp.c_Product__Type_Oapsnd @t71 @t184 @t15 @t2) (tptp.c_Product__Type_Omap__pair @t15 @t15 @t71 @t184 @t4568 @t2)))) % 47.09/47.30 (assume @p3314 (forall (@list @t2 @t71 @t184 @t15) (= (tptp.c_Product__Type_Oapfst @t15 @t184 @t71 @t2) (tptp.c_Product__Type_Omap__pair @t15 @t184 @t71 @t71 @t2 @t4571)))) % 47.09/47.30 (assume @p3315 (forall @t2515 (= (tptp.c_Product__Type_Omap__pair @t15 @t15 @t71 @t71 @t4568 @t4571) @t4570))) % 47.09/47.30 (assume @p3316 (forall (@list @t1 @t2 @t3973 @t71 @t184 @t15) (= @t4586 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t4552) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t4594 @t4593) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4592 (tptp.tc_fun @t4594 @t4593) @t15) (tptp.c_COMBB @t3973 @t4552 @t71)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t184 @t4592 @t15) @t4588) @t2))) @t1))))) % 47.09/47.30 (assume @p3317 (forall (@list @t4595 @t48 @t1 @t184 @t3973 @t916 @t51 @t2 @t15 @t71) (=> @t4596 (=> (= (tptp.hAPP @t4585 @t48) @t4595) (= (tptp.hAPP @t4583 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t71 @t3973) @t51) (tptp.hAPP (tptp.c_COMBK @t4551 @t71) @t48))) (tptp.hAPP (tptp.hAPP @t4525 @t916) (tptp.hAPP @t4524 @t4595))))))) % 47.09/47.30 (assume @p3318 (forall @t4412 (=> @t4411 (=> @t2531 (tptp.c_Wellfounded_Owf @t71 (tptp.hAPP (tptp.c_Set_Oimage @t3402 @t4153 (tptp.c_Product__Type_Omap__pair @t15 @t71 @t15 @t71 @t2 @t2)) @t1667)))))) % 47.09/47.30 (assume @p3319 (forall (@list @t48 @t1 @t3973 @t184 @t51 @t2 @t71 @t15) (=> @t800 (=> (tptp.c_Fun_Oinj__on @t184 @t3973 @t1 @t48) (tptp.c_Fun_Oinj__on @t4359 @t4582 (tptp.c_Product__Type_Omap__pair @t15 @t71 @t184 @t3973 @t2 @t1) (tptp.hAPP @t4526 (tptp.hAPP @t4524 @t48))))))) % 47.09/47.30 (assume @p3320 (forall (@list @t387 @t1 @t2 @t3973 @t184 @t281 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4581 (tptp.hAPP (tptp.c_Set_Oimage @t4552 @t2508 @t4590) @t387))) (not (forall @t787 (=> (= @t281 (tptp.hAPP (tptp.hAPP @t3849 @t5) (tptp.hAPP @t1 @t783))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4589 (tptp.hAPP (tptp.hAPP @t4588 @t3) @t783)) @t387))))))))) % 47.09/47.30 (assume @p3321 (forall @t3405 (= @t4598 (and @t4534 @t4597)))) % 47.09/47.30 (assume @p3322 (forall @t3406 (= @t4600 (tptp.c_Wellfounded_Owf @t15 @t4599)))) % 47.09/47.30 (assume @p3323 (forall @t594 (tptp.c_Wellfounded_OwfP @t15 (tptp.hAPP @t4531 @t2403)))) % 47.09/47.30 (assume @p3324 (forall @t170 (tptp.c_Relation_Orefl__on @t15 @t51 @t4327))) % 47.09/47.30 (assume @p3325 (forall @t3406 (= @t4600 (forall @t374 (tptp.hBOOL (tptp.hAPP @t4102 @t372)))))) % 47.09/47.30 (assume @p3326 (forall @t4353 (=> @t4600 (tptp.hBOOL (tptp.hAPP @t4102 @t47))))) % 47.09/47.30 (assume @p3327 (forall @t4416 (=> @t4600 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4087 @t1796) @t1667)) (tptp.c_Wellfounded_OwfP @t15 @t1796))))) % 47.09/47.30 (assume @p3328 (forall @t594 (tptp.c_Relation_Orefl__on @t15 @t289 @t3447))) % 47.09/47.30 (assume @p3329 (forall @t4602 (=> @t4598 (=> @t4601 (tptp.c_Relation_Orefl__on @t15 @t57 @t4320))))) % 47.09/47.30 (assume @p3330 (forall @t4602 (=> @t4598 (=> @t4601 (tptp.c_Relation_Orefl__on @t15 @t964 @t4603))))) % 47.09/47.30 (assume @p3331 (forall @t4193 (=> @t4598 (=> @t4188 @t361)))) % 47.09/47.30 (assume @p3332 (forall @t4193 (=> @t4598 (=> @t4188 @t331)))) % 47.09/47.30 (assume @p3333 (forall @t4183 (=> @t4598 (=> @t293 @t4424)))) % 47.09/47.30 (assume @p3334 (forall @t4260 (=> @t4402 (tptp.c_Wellfounded_OwfP @t15 (tptp.c_FunDef_Oin__rel @t15 @t15 @t387))))) % 47.09/47.30 (assume @p3335 (forall @t3406 (= (tptp.c_Wellfounded_OwfP @t15 @t4352) @t4411))) % 47.09/47.30 (assume @p3336 (forall @t3406 (= @t4604 (tptp.c_Relation_Orefl__on @t15 @t2496 @t4599)))) % 47.09/47.30 (assume @p3337 (forall @t4605 (=> @t4534 (=> @t4597 @t4598)))) % 47.09/47.30 (assume @p3338 (forall @t3406 (=> @t4600 @t4606))) % 47.09/47.30 (assume @p3339 (forall @t3406 (=> @t4411 @t4607))) % 47.09/47.30 (assume @p3340 (forall @t4353 (=> @t4604 (tptp.hBOOL (tptp.hAPP @t4608 @t47))))) % 47.09/47.30 (assume @p3341 (forall @t4609 (=> (tptp.c_Wellfounded_Oacyclic @t15 @t543) (=> @t4316 @t4607)))) % 47.09/47.30 (assume @p3342 (forall @t3406 (=> @t4322 (=> @t4607 @t4411)))) % 47.09/47.30 (assume @p3343 (forall @t3406 (=> @t4322 (= @t4411 @t4607)))) % 47.09/47.30 (assume @p3344 (forall @t3406 (= (tptp.c_Nitpick_Owf_H @t15 @t1667) (and @t4607 (or @t4322 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 47.09/47.30 (assume @p3345 (forall @t4613 (=> @t4612 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t35 @t4611))) @t4610)))) % 47.09/47.30 (assume @p3346 (forall @t4614 (=> @t4612 (not (forall @t7 (not (= @t128 @t4611))))))) % 47.09/47.30 (assume @p3347 (forall @t3405 (= @t4598 (and (forall @t7 (=> @t4616 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4160 (tptp.hAPP @t2476 @t622)) @t3)))) @t4597)))) % 47.09/47.30 (assume @p3348 (forall @t4619 (=> (forall @t2461 (=> @t4618 (tptp.hBOOL (tptp.hAPP @t35 @t4617)))) @t168))) % 47.09/47.30 (assume @p3349 (forall @t2277 (not (forall @t2461 (=> (= @t47 @t4617) (not @t4618)))))) % 47.09/47.30 (assume @p3350 (forall (@list @t35 @t15 @t3) (=> @t4620 @t172))) % 47.09/47.30 (assume @p3351 (forall @t67 (= (tptp.hBOOL (tptp.hAPP @t242 @t48)) (forall @t7 (=> @t175 @t4621))))) % 47.09/47.30 (assume @p3352 (forall (@list @t2 @t1667 @t71 @t15) (= @t4217 (forall @t7 (=> @t4616 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t214 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t2465 @t15) @t2464) @t790)) @t2)) @t3))))))) % 47.09/47.30 (assume @p3353 (forall (@list @t15 @t1667 @t71) (=> (forall @t952 (tptp.c_Wellfounded_OwfP @t71 @t4623)) (=> (forall @t3289 (=> (not (= @t4623 @t4622)) (= (tptp.hAPP (tptp.hAPP @t931 (tptp.c_Predicate_ODomainP @t71 @t71 @t4623)) (tptp.c_Predicate_ORangeP @t71 @t71 @t4622)) @t377))) (tptp.c_Wellfounded_OwfP @t71 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 (tptp.tc_fun @t71 @t88)) @t2496) @t1667)))))) % 47.09/47.30 (assume @p3354 (forall (@list @t1796 @t281 @t184 @t71 @t202 @t15) (=> (tptp.hBOOL (tptp.hAPP @t403 (tptp.hAPP @t3949 @t1796))) (not (forall @t787 (=> (= @t1796 (tptp.hAPP (tptp.hAPP @t3893 @t3) @t783)) (not (tptp.hBOOL (tptp.hAPP @t403 (tptp.hAPP (tptp.hAPP @t281 @t3) @t783)))))))))) % 47.09/47.30 (assume @p3355 (forall (@list @t281 @t202 @t184 @t71 @t15 @t1796) (=> (forall @t3960 (=> (= @t1796 @t3959) (tptp.hBOOL (tptp.hAPP @t4624 (tptp.hAPP (tptp.hAPP @t281 @t935) @t1111))))) (tptp.hBOOL (tptp.hAPP @t4624 (tptp.hAPP (tptp.hAPP @t3954 @t281) @t1796)))))) % 47.09/47.30 (assume @p3356 (forall (@list @t260 @t18 @t15) (=> (forall @t7 (=> @t4626 (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t261 @t3))) (forall @t7 (=> @t4626 (tptp.c_Hoare__Mirabelle_Otriple__valid @t15 @t260 @t3)))))) % 47.09/47.30 (assume @p3357 (forall (@list @t18 @t19 @t15) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t15 @t19 @t18) (forall @t432 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4625 @t19)) @t4627)) (forall @t7 (=> @t4626 @t4627))))))) % 47.09/47.30 (assume @p3358 (forall (@list @t48 @t51 @t2 @t184 @t71 @t15) (= (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t3891 @t2) @t4507) (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t3891 @t71 @t15 @t4134) @t2)) @t51)) (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t184 (tptp.hAPP (tptp.c_Fun_Ocomp @t3891 @t184 @t15 @t4099) @t2)) @t48))))) % 47.09/47.30 (assume @p3359 (forall @t3979 (= (tptp.c_Hilbert__Choice_OEps @t2508 @t4137) (tptp.c_Hilbert__Choice_OEps @t2508 @t4136)))) % 47.09/47.30 (assume @p3360 (forall (@list @t1 @t15 @t71) (= (tptp.hAPP @t4628 @t1) @t1))) % 47.09/47.30 (assume @p3361 (forall @t823 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t71 @t15 @t2) @t4568) @t2))) % 47.09/47.30 (assume @p3362 (forall @t4632 (=> (= @t4631 (tptp.hAPP @t4628 @t281)) @t4630))) % 47.09/47.30 (assume @p3363 (forall @t4265 (= (tptp.hAPP @t4042 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3973 @t184 @t15 @t1) @t47)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3973 @t71 @t15 @t4633) @t47)))) % 47.09/47.30 (assume @p3364 (forall (@list @t47 @t2 @t281 @t184 @t15 @t71) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t15 @t184 @t2741) @t2) @t47) @t281))) % 47.09/47.30 (assume @p3365 (forall @t4636 (=> @t467 @t4635))) % 47.09/47.30 (assume @p3366 (forall @t4636 (= @t4635 @t467))) % 47.09/47.30 (assume @p3367 (forall @t324 (= (tptp.c_Hilbert__Choice_OEps @t15 @t4637) @t47))) % 47.09/47.30 (assume @p3368 (forall @t324 (= (tptp.c_Hilbert__Choice_OEps @t15 @t677) @t47))) % 47.09/47.30 (assume @p3369 (forall (@list @t47 @t1 @t2 @t184 @t15 @t71) (= @t4639 @t1105))) % 47.09/47.30 (assume @p3370 (forall (@list @t128 @t47 @t1 @t2 @t15 @t71 @t184) (= (tptp.hAPP @t4640 (tptp.c_Fun_Ofun__upd @t15 @t184 @t1 @t47 @t128)) (tptp.c_Fun_Ofun__upd @t15 @t71 @t4641 @t47 @t411)))) % 47.09/47.30 (assume @p3371 (forall (@list @t47 @t2 @t1 @t184 @t71 @t15) (= (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t71 @t4642) @t47) (tptp.hAPP (tptp.c_Set_Ovimage @t15 @t184 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t184 @t71 @t1) @t47))))) % 47.09/47.30 (assume @p3372 (forall (@list @t3972 @t3973 @t184 @t15 @t71 @t4643 @t4644 @t4645 @t47 @t1 @t2) (=> (= @t1105 (tptp.hAPP @t4645 (tptp.hAPP @t4644 @t4643))) (= @t4639 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t15 @t3972 @t4645) @t4644) @t4643))))) % 47.09/47.30 (assume @p3373 (forall (@list @t899 @t1 @t3973 @t2 @t15 @t71 @t184) (= (tptp.hAPP @t4640 (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t184 @t15 @t1) @t899)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t71 @t15 @t4633) @t899)))) % 47.09/47.30 (assume @p3374 (forall (@list @t3462 @t345 @t281 @t3973 @t294 @t290 @t15 @t71 @t184) (=> @t4646 (= @t4629 (tptp.hAPP @t281 (tptp.hAPP @t345 @t3462)))))) % 47.09/47.30 (assume @p3375 (forall (@list @t345 @t281 @t3973 @t294 @t290 @t15 @t71 @t184) (=> @t4646 (forall (@list @t4647) (= (tptp.hAPP @t290 (tptp.hAPP @t294 @t4647)) (tptp.hAPP @t281 (tptp.hAPP @t345 @t4647))))))) % 47.09/47.30 (assume @p3376 (forall (@list @t15 @t4648) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4648 @t3))) (tptp.hBOOL (tptp.hAPP @t4648 (tptp.c_Hilbert__Choice_OEps @t15 @t4648)))))) % 47.09/47.30 (assume @p3377 (forall (@list @t15 @t47 @t35) (=> @t168 @t4635))) % 47.09/47.30 (assume @p3378 (forall @t4632 (=> (= @t4631 @t281) @t4630))) % 47.09/47.30 (assume @p3379 (forall @t708 (=> @t1238 @t4650))) % 47.09/47.30 (assume @p3380 (forall (@list @t15 @t281 @t35) (=> @t467 (=> (= @t281 @t4634) (tptp.hBOOL (tptp.hAPP @t35 @t281)))))) % 47.09/47.30 (assume @p3381 (forall @t4271 (= (tptp.hAPP @t4270 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3973 @t184 @t71 @t1) @t47)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3973 @t15 @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t15 @t3973 @t2) @t1)) @t47)))) % 47.09/47.30 (assume @p3382 (forall @t1240 (=> @t2531 (=> (tptp.c_Fun_Oinj__on @t184 @t15 @t1 @t4584) (tptp.c_Fun_Oinj__on @t184 @t71 @t4651 @t4584))))) % 47.09/47.30 (assume @p3383 (forall (@list @t51 @t2 @t4645 @t184 @t71 @t15) (=> (tptp.c_Fun_Oinj__on @t15 @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t71 @t15 @t4645) @t2) @t51) (tptp.c_Fun_Oinj__on @t15 @t184 @t2 @t51)))) % 47.09/47.30 (assume @p3384 (forall (@list @t1667 @t1 @t2 @t184 @t15 @t71) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t15 @t71 @t2) @t1)) @t1667) (tptp.hAPP @t2533 (tptp.hAPP @t2532 @t1667))))) % 47.09/47.30 (assume @p3385 (forall (@list @t1 @t184 @t2 @t15 @t71) (=> @t2729 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t15 @t184 @t1) @t2496) @t4584) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t184 (tptp.hAPP @t4652 @t2)) @t2512) @t4584))))) % 47.09/47.30 (assume @p3386 (forall (@list @t4645 @t184 @t51 @t2 @t71 @t15) (=> @t800 (= (tptp.c_Fun_Oinj__on @t71 @t184 @t4645 @t222) (tptp.c_Fun_Oinj__on @t15 @t184 @t4653 @t51))))) % 47.09/47.30 (assume @p3387 (forall (@list @t1 @t184 @t51 @t2 @t71 @t15) (=> @t800 (=> (tptp.c_Fun_Oinj__on @t71 @t184 @t1 @t222) (tptp.c_Fun_Oinj__on @t15 @t184 @t4655 @t51))))) % 47.09/47.30 (assume @p3388 (forall (@list @t51 @t2 @t1 @t184 @t71 @t15) (=> (tptp.c_Fun_Oinj__on @t15 @t71 @t4642 @t51) (tptp.c_Fun_Oinj__on @t184 @t71 @t1 (tptp.hAPP @t2436 @t51))))) % 47.09/47.30 (assume @p3389 (forall (@list @t4656 @t1144 @t899 @t4657 @t3972 @t1 @t2 @t71 @t3973 @t15 @t184) (= (tptp.hAPP @t4590 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3972 @t184 @t4657 @t3973 @t899 @t1144) @t4656)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3972 @t15 @t4657 @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t15 @t3972 @t2) @t899) (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t71 @t4657 @t1) @t1144)) @t4656)))) % 47.09/47.30 (assume @p3390 (forall (@list @t4658 @t4659 @t4657 @t771 @t81 @t3972 @t3973 @t71 @t184 @t15) (= (tptp.c_Product__Type_Omap__pair @t15 @t184 @t71 @t3973 (tptp.hAPP (tptp.c_Fun_Ocomp @t3972 @t184 @t15 @t81) @t771) (tptp.hAPP (tptp.c_Fun_Ocomp @t4657 @t3973 @t71 @t4659) @t4658)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4660 @t4552 @t2508 (tptp.c_Product__Type_Omap__pair @t3972 @t184 @t4657 @t3973 @t81 @t4659)) (tptp.c_Product__Type_Omap__pair @t15 @t3972 @t71 @t4657 @t771 @t4658))))) % 47.09/47.30 (assume @p3391 (forall (@list @t1144 @t899 @t1 @t2 @t71 @t15 @t3973 @t184 @t4657 @t3972) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4660 @t4552 @t2508 (tptp.c_Product__Type_Omap__pair @t3972 @t184 @t4657 @t3973 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t15 @t3972 @t71 @t4657 @t899 @t1144)) (tptp.c_Product__Type_Omap__pair @t15 @t184 @t71 @t3973 (tptp.hAPP (tptp.c_Fun_Ocomp @t3972 @t184 @t15 @t2) @t899) (tptp.hAPP (tptp.c_Fun_Ocomp @t4657 @t3973 @t71 @t1) @t1144))))) % 47.09/47.30 (assume @p3392 (forall @t4663 (=> @t940 (=> @t848 (= (tptp.hAPP @t934 @t221) (tptp.hAPP @t4662 @t48)))))) % 47.09/47.30 (assume @p3393 (forall @t4663 (=> @t4567 (=> @t848 (= (tptp.hAPP @t4664 @t221) (tptp.hAPP (tptp.hAPP @t4576 @t4661) @t48)))))) % 47.09/47.30 (assume @p3394 (forall @t941 (=> @t4567 (=> @t800 (=> @t939 (=> (= @t1 @t4661) @t4665)))))) % 47.09/47.30 (assume @p3395 (forall @t3869 (= (tptp.c_Hilbert__Choice_OEps @t2508 @t3980) @t3861))) % 47.09/47.30 (assume @p3396 (forall @t3979 (= (tptp.c_Hilbert__Choice_OEps @t2508 @t35) (tptp.c_Hilbert__Choice_OEps @t2508 @t3978)))) % 47.09/47.30 (assume @p3397 (forall @t4669 (=> @t954 (=> @t928 (=> @t4668 (= (tptp.hAPP @t947 @t4667) (tptp.hAPP (tptp.hAPP @t920 @t4666) @t51))))))) % 47.09/47.30 (assume @p3398 (forall @t4669 (=> @t1545 (=> @t928 (=> @t4668 (= (tptp.hAPP @t2837 @t4667) (tptp.hAPP (tptp.hAPP @t2836 @t4666) @t51))))))) % 47.09/47.30 (assume @p3399 (forall @t4674 (=> @t4673 (=> @t4672 (=> @t4671 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t184 @t71 @t51 @t4651) @t47) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t184 @t71 (tptp.c_Fun_Othe__inv__into @t184 @t15 @t51 @t1)) (tptp.c_Fun_Othe__inv__into @t15 @t71 @t4670 @t2)) @t47))))))) % 47.09/47.30 (assume @p3400 (forall (@list @t202 @t1 @t899 @t71 @t51 @t15 @t184) (=> (tptp.class_Groups_Oab__semigroup__mult @t184) (=> @t928 (=> (tptp.c_Fun_Oinj__on @t15 @t71 @t899 @t51) (= (tptp.hAPP (tptp.hAPP @t4675 @t202) (tptp.hAPP @t1081 @t51)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4566 (tptp.hAPP @t4654 @t899)) @t202) @t51))))))) % 47.09/47.30 (assume @p3401 (forall @t4678 (=> @t4677 (=> @t928 (=> @t331 (= @t1099 @t4676)))))) % 47.09/47.30 (assume @p3402 (forall (@list @t1 @t899 @t51 @t1062 @t202 @t2 @t71 @t15) (=> @t4679 (=> @t1089 (=> (tptp.c_Fun_Oinj__on @t71 @t71 @t899 @t51) (= (tptp.hAPP @t1436 (tptp.hAPP (tptp.c_Set_Oimage @t71 @t71 @t899) @t51)) (tptp.hAPP (tptp.hAPP @t1062 (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t15 @t71 @t1) @t899)) @t51))))))) % 47.09/47.30 (assume @p3403 (forall @t4683 (=> @t4677 (=> @t928 (=> @t943 (=> @t1017 @t4682)))))) % 47.09/47.30 (assume @p3404 (forall (@list @t899 @t1 @t4657 @t2 @t184 @t3973 @t3972 @t1062 @t623 @t71 @t15) (=> (tptp.c_Finite__Set_Ofolding @t15 @t71 @t623 @t1062) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t3972 @t3973 @t184 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t4657 @t3972 @t184 @t1) @t899)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4657 @t3973 @t184 (tptp.hAPP (tptp.c_Fun_Ocomp @t3972 @t3973 @t4657 @t2) @t1)) @t899))))) % 47.09/47.30 (assume @p3405 (forall (@list @t47 @t128 @t1062 @t2 @t71 @t15) (=> @t4677 (= @t4685 @t4684)))) % 47.09/47.30 (assume @p3406 (forall (@list @t1 @t47 @t128 @t184 @t1062 @t2 @t71 @t15) (=> @t4677 (= (tptp.hAPP @t4686 @t4688) (tptp.hAPP @t4687 (tptp.hAPP @t4686 @t1)))))) % 47.09/47.30 (assume @p3407 (forall (@list @t2 @t1 @t184 @t51 @t15 @t71) (= (tptp.hAPP @t2557 (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t54 @t71 @t1) @t2)) (tptp.hAPP @t2613 @t1)))) % 47.09/47.30 (assume @p3408 (forall (@list @t1 @t2 @t71 @t15 @t3973 @t184) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4552 @t184 @t2508 @t4268) @t4586) (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t184 @t2508 @t2) @t4128)))) % 47.09/47.30 (assume @p3409 (forall (@list @t1 @t2 @t71 @t15 @t184 @t3973) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4689 @t184 @t2508 @t4263) (tptp.c_Product__Type_Omap__pair @t15 @t3973 @t71 @t184 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t184 @t2508 @t1) @t4127)))) % 47.09/47.30 (assume @p3410 (forall (@list @t899 @t1 @t51 @t1062 @t202 @t2 @t71 @t15) (=> @t4679 (=> @t1089 (= (tptp.hAPP (tptp.hAPP @t1062 (tptp.hAPP (tptp.hAPP @t888 @t4690) @t899)) @t51) (tptp.hAPP (tptp.hAPP @t2 @t1437) (tptp.hAPP (tptp.hAPP @t1062 @t899) @t51))))))) % 47.09/47.30 (assume @p3411 (forall (@list @t47 @t1 @t2 @t3973 @t15 @t184 @t71) (= (tptp.hAPP (tptp.hAPP @t3970 (tptp.hAPP (tptp.c_Fun_Ocomp @t3973 @t829 @t71 @t2) @t1)) @t47) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t4134 @t47))) @t4100)))) % 47.09/47.30 (assume @p3412 (forall @t4678 (=> @t4677 (=> @t928 (= (tptp.hAPP @t4649 @t1099) @t4691))))) % 47.09/47.30 (assume @p3413 (forall (@list @t1 @t47 @t184 @t51 @t1062 @t2 @t71 @t15) (=> @t4677 (=> @t928 (= (tptp.hAPP @t4687 @t4693) (tptp.hAPP @t4692 @t4688)))))) % 47.09/47.30 (assume @p3414 (forall @t4683 (=> @t4677 (=> @t928 (=> @t943 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t1117) @t1099) @t4681)))))) % 47.09/47.30 (assume @p3415 (forall (@list @t1 @t184 @t48 @t51 @t1062 @t2 @t71 @t15) (=> @t4677 (=> @t928 (=> @t943 (= (tptp.hAPP @t4694 @t4693) (tptp.hAPP @t4692 (tptp.hAPP @t4694 @t1)))))))) % 47.09/47.30 (assume @p3416 (forall (@list @t1062 @t2 @t71 @t15) (=> @t4677 (= (tptp.hAPP @t1062 @t289) @t4571)))) % 47.09/47.30 (assume @p3417 (forall @t1441 (=> @t4679 @t1439))) % 47.09/47.30 (assume @p3418 (forall @t4678 (=> @t4677 (=> @t928 (=> @t357 @t4695))))) % 47.09/47.30 (assume @p3419 (forall @t4683 (=> @t4677 (=> @t928 (=> @t943 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t71 @t71 @t1120) @t1119) @t4681)))))) % 47.09/47.30 (assume @p3420 (forall @t4678 (=> @t4677 (=> @t928 (= @t1128 @t4676))))) % 47.09/47.30 (assume @p3421 (forall (@list @t345 @t34 @t281 @t294 @t35 @t19 @t15) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP @t4697 @t34)) @t245)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t16 @t4696) @t345) @t34)) @t245)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP @t258 (tptp.c_Com_Ocom_OCond @t294 @t281 @t345)) @t34)) @t245)))))) % 47.09/47.30 (assume @p3422 (forall @t519 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP @t4697 @t35)) @t245)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t15 @t19 (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP (tptp.hAPP @t258 @t516) @t4696)) @t245))))) % 47.09/47.30 (assume @p3423 (forall (@list @t71 @t899 @t2 @t386 @t15 @t184) (=> @t940 (=> @t1073 (=> (forall @t7 (=> @t427 (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t3433 @t386)) (=> (not @t4698) (=> @t4220 (= (tptp.hAPP @t899 @t5) (tptp.c_Groups_Ozero__class_Ozero @t184)))))))) (= (tptp.hAPP @t934 @t420) (tptp.hAPP @t4662 @t386))))))) % 47.09/47.30 (assume @p3424 (forall (@list @t543 @t2832 @t1796 @t35 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t15 @t35 @t1796) @t2832) @t543)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t2832) @t543)) (tptp.hBOOL (tptp.hAPP @t1796 @t543)))))) % 47.09/47.30 (assume @p3425 (forall @t4683 (=> @t4699 (=> @t928 (=> @t943 @t4682))))) % 47.09/47.30 (assume @p3426 (forall @t4683 (=> @t4699 (=> @t928 (=> @t64 (= @t4681 @t1099)))))) % 47.09/47.30 (assume @p3427 (forall @t4678 (=> @t4699 (=> @t928 @t4695)))) % 47.09/47.30 (assume @p3428 (forall (@list @t1 @t47 @t184 @t1062 @t2 @t71 @t15) (=> @t4699 (= (tptp.hAPP @t4687 @t4688) @t4688)))) % 47.09/47.30 (assume @p3429 (forall (@list @t47 @t1062 @t2 @t71 @t15) (=> @t4699 @t4650))) % 47.09/47.30 (assume @p3430 (forall @t4678 (=> @t4699 (=> @t928 (=> @t331 (= @t4691 @t1099)))))) % 47.09/47.30 (assume @p3431 (forall @t941 (=> @t4567 (=> @t800 (=> @t939 (=> (forall @t7 (=> @t176 (= @t4 (tptp.hAPP @t4661 @t3)))) @t4665)))))) % 47.09/47.30 (assume @p3432 (forall @t4260 (=> (forall @t4700 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t1164) (tptp.hAPP @t4428 @t1164))) (= @t1164 @t289))) @t4402))) % 47.09/47.30 (assume @p3433 (forall (@list @t230 @t48 @t71 @t161 @t51 @t15) (=> @t162 (=> (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t2519) (tptp.hAPP @t230 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3426 @t4493) (tptp.hAPP (tptp.hAPP @t4489 @t161) @t230))))))) % 47.09/47.30 (assume @p3434 (forall @t3411 (=> (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4701 @t47)) @t1667)) (tptp.hBOOL (tptp.hAPP @t3433 @t4350)))) @t4351))) % 47.09/47.30 (assume @p3435 (forall @t4704 (=> (not (tptp.hBOOL (tptp.hAPP @t323 @t4702))) (not (forall @t2443 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4703 @t47)) @t387)) (tptp.hBOOL (tptp.hAPP @t2442 @t4702)))))))) % 47.09/47.30 (assume @p3436 (forall (@list @t387 @t277 @t278 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4208 (tptp.hAPP (tptp.hAPP @t4206 @t278) @t277)) @t4328)) (and @t4408 @t4407 @t4406 (forall @t7 (=> @t4405 (exists @t426 (and @t4404 @t4437)))))))) % 47.09/47.30 (assume @p3437 (forall (@list @t2 @t1667 @t15) (=> @t4411 (not (forall @t804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 (tptp.hAPP @t2 @t803)) (tptp.hAPP @t2 @t802))) @t1667))))))) % 47.09/47.30 (assume @p3438 (forall @t4707 (= (tptp.hAPP @t1531 @t4706) @t1532))) % 47.09/47.30 (assume @p3439 (forall @t4707 (= (tptp.c_Com_Ocom_Ocom__size @t4706) @t1511))) % 47.09/47.30 (assume @p3440 (forall (@list @t453 @t456 @t567 @t11 @t568 @t4705) (not (= @t4706 @t2879)))) % 47.09/47.30 (assume @p3441 (forall (@list @t11 @t568 @t4705 @t453 @t456 @t567) (not (= @t2879 @t4706)))) % 47.09/47.30 (assume @p3442 (forall (@list @t453 @t456 @t11 @t568 @t4705) (not (= @t4706 @t459)))) % 47.09/47.30 (assume @p3443 (forall (@list @t11 @t568 @t4705 @t453 @t456) (not (= @t459 @t4706)))) % 47.09/47.30 (assume @p3444 (forall @t4710 (not (= @t4709 tptp.c_Com_Ocom_OSKIP)))) % 47.09/47.30 (assume @p3445 (forall @t4710 (not (= tptp.c_Com_Ocom_OSKIP @t4709)))) % 47.09/47.30 (assume @p3446 (forall (@list @t239 @t11 @t568 @t4705) (not (= @t4706 @t241)))) % 47.09/47.30 (assume @p3447 (forall (@list @t11 @t568 @t4705 @t239) (not (= @t241 @t4706)))) % 47.09/47.30 (assume @p3448 (forall (@list @t10 @t567 @t11 @t568 @t4705) (not (= @t4706 @t570)))) % 47.09/47.30 (assume @p3449 (forall (@list @t11 @t568 @t4705 @t10 @t567) (not (= @t570 @t4706)))) % 47.09/47.30 (assume @p3450 (forall (@list @t10 @t567 @t4708 @t11 @t568 @t4705) (= (= @t4706 @t4709) (and (= @t4705 @t4708) @t569 @t12)))) % 47.09/47.30 (assume @p3451 (forall @t4712 (= @t4711 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4268 @t69)) (tptp.hAPP @t4266 @t69))))) % 47.09/47.30 (assume @p3452 (forall (@list @t1 @t2 @t345 @t294 @t281 @t290 @t15 @t71) (=> (and @t954 @t1968) (=> @t347 (=> @t346 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t640 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t2749 @t345)) @t6))) (= (tptp.hAPP @t921 @t1900) (tptp.hAPP @t947 @t1899)))))))) % 47.09/47.30 (assume @p3453 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t4714 @t4713)) @t860))) % 47.09/47.30 (assume @p3454 (forall @t4712 (= @t4711 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t184 @t3973 @t15) @t1) @t69)))) % 47.09/47.30 (assume @p3455 (forall @t3406 (=> @t4411 (tptp.c_Wellfounded_Owf @t15 @t4715)))) % 47.09/47.30 (assume @p3456 (forall (@list @t2 @t47 @t71 @t184 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t184 @t15 @t71) (tptp.hAPP (tptp.c_Product__Type_OPair @t184 @t15) @t47)) @t2) @t69))) % 47.09/47.30 (assume @p3457 (forall (@list @t899 @t1 @t2 @t4657 @t3972 @t71 @t3973 @t184 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t184 @t3973 @t71) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t3972 @t4657 @t4552) @t2) @t1)) @t899) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t3972 @t4657 @t71) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3972 @t4718 @t4716) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t4657 @t4552) (tptp.tc_fun @t4718 @t4716) @t3972) (tptp.c_Product__Type_Oscomp @t4657 @t184 @t3973 @t71)) @t1)) @t899))))) % 47.09/47.30 (assume @p3458 (forall (@list @t47 @t184 @t71 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t71 @t184 @t3891) @t47) @t3893) @t47))) % 47.09/47.30 (assume @p3459 (= tptp.c_Wellfounded_Oless__than @t4713)) % 47.09/47.30 (assume @p3460 (forall @t3406 (= @t4607 @t4719))) % 47.09/47.30 (assume @p3461 (forall @t4313 (=> @t4178 @t4720))) % 47.09/47.30 (assume @p3462 (forall @t3406 (tptp.hBOOL (tptp.hAPP @t4721 (tptp.hAPP (tptp.hAPP @t4532 @t4311) (tptp.hAPP @t4531 @t4311)))))) % 47.09/47.30 (assume @p3463 (forall @t4317 (=> @t4316 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP (tptp.hAPP @t4377 (tptp.hAPP (tptp.hAPP @t4420 @t4715) @t543)) @t1667)) @t543)) (tptp.hBOOL (tptp.hAPP @t4721 @t543)))))) % 47.09/47.30 (assume @p3464 (forall @t4725 (=> @t4724 @t4723))) % 47.09/47.30 (assume @p3465 (forall @t594 (= (tptp.c_Transitive__Closure_Otrancl @t15 @t3447) @t3447))) % 47.09/47.30 (assume @p3466 (forall @t3406 (= (tptp.hAPP @t4472 @t4715) @t4473))) % 47.09/47.30 (assume @p3467 (forall @t3406 (= (tptp.hAPP @t4458 @t4715) @t4487))) % 47.09/47.30 (assume @p3468 (forall @t3406 (= (tptp.hBOOL (tptp.hAPP @t4321 @t4715)) @t4322))) % 47.09/47.30 (assume @p3469 (forall (@list @t281 @t387 @t294 @t290 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4177 @t387)) (=> (tptp.hBOOL (tptp.hAPP @t4729 @t387)) (tptp.hBOOL (tptp.hAPP @t4727 @t4726)))))) % 47.09/47.30 (assume @p3470 (forall @t4732 (=> @t4178 @t4731))) % 47.09/47.30 (assume @p3471 (forall @t4732 (=> @t4720 @t4734))) % 47.09/47.30 (assume @p3472 (forall @t4732 (=> @t4720 @t4731))) % 47.09/47.30 (assume @p3473 (forall (@list @t543 @t1667 @t1796 @t15) (=> @t4723 (=> @t4316 (tptp.hBOOL (tptp.hAPP @t4722 (tptp.c_Transitive__Closure_Otrancl @t15 @t543))))))) % 47.09/47.30 (assume @p3474 (forall @t3406 (= @t4715 (tptp.hAPP @t4319 (tptp.hAPP (tptp.hAPP @t4377 @t4715) @t1667))))) % 47.09/47.30 (assume @p3475 (forall @t4605 (=> @t4534 (tptp.hBOOL (tptp.hAPP @t4721 @t4533))))) % 47.09/47.30 (assume @p3476 (forall @t4739 (and (=> @t4737 (= @t4736 @t4139)) (=> @t4738 (= @t4736 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t15 @t71 @t15 @t3429) @t69) (tptp.c_Random_Oiterate @t71 @t15 @t4735 @t2))))))) % 47.09/47.30 (assume @p3477 (forall @t4744 (= (tptp.c_Transitive__Closure_Otrancl @t15 @t4743) (tptp.hAPP @t4741 (tptp.hAPP @t4161 (tptp.hAPP @t4160 (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t2475 (tptp.hAPP @t808 (tptp.hAPP (tptp.hAPP @t4250 (tptp.hAPP @t4247 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t15 @t3402) @t4011) @t128))) @t4740)))) (tptp.hAPP (tptp.hAPP @t4250 (tptp.hAPP @t4247 @t4117)) @t4740)))))))) % 47.09/47.30 (assume @p3478 (forall @t4747 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2478) @t4352) tptp.c_fequal) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t4118 @t4746))))) % 47.09/47.30 (assume @p3479 (forall @t4725 (=> @t4724 (tptp.hBOOL (tptp.hAPP @t4722 @t4740))))) % 47.09/47.30 (assume @p3480 (forall @t4383 (tptp.hBOOL (tptp.hAPP @t4423 @t4740)))) % 47.09/47.30 (assume @p3481 (forall @t292 (tptp.hBOOL (tptp.hAPP @t4423 @t4745)))) % 47.09/47.30 (assume @p3482 (forall @t4313 (=> @t4720 @t4748))) % 47.09/47.30 (assume @p3483 (forall @t3406 (= @t4715 @t4750))) % 47.09/47.30 (assume @p3484 (forall @t3406 (= @t4715 @t4751))) % 47.09/47.30 (assume @p3485 (forall @t3406 (= (tptp.hAPP @t4741 @t4745) @t4740))) % 47.09/47.30 (assume @p3486 (forall @t3406 (= (tptp.c_Transitive__Closure_Otrancl @t15 @t4746) @t4740))) % 47.09/47.30 (assume @p3487 (forall @t4260 (= (tptp.c_Transitive__Closure_Otrancl @t15 @t4752) @t4752))) % 47.09/47.30 (assume @p3488 (forall @t4260 (= (tptp.c_Transitive__Closure_Ortrancl @t15 @t4726) @t4752))) % 47.09/47.30 (assume @p3489 (forall @t3406 (tptp.c_Relation_Orefl__on @t15 @t2496 @t4740))) % 47.09/47.30 (assume @p3490 (forall @t3406 (= (tptp.c_Transitive__Closure_Ortrancl @t15 @t4753) @t4740))) % 47.09/47.30 (assume @p3491 (forall @t4732 (=> @t4178 @t4756))) % 47.09/47.30 (assume @p3492 (forall @t4732 (=> @t4748 (=> @t4733 @t4754)))) % 47.09/47.30 (assume @p3493 (forall @t4732 (=> @t4748 @t4756))) % 47.09/47.30 (assume @p3494 (forall @t3406 (= (tptp.c_Transitive__Closure_Ortrancl @t15 @t4740) @t4740))) % 47.09/47.30 (assume @p3495 (forall (@list @t508 @t1667 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t3407 @t508)) @t508)) (= (tptp.hAPP (tptp.c_Relation_OImage @t15 @t15 @t4740) @t508) @t508)))) % 47.09/47.30 (assume @p3496 (forall @t392 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t4760) @t4757)))) % 47.09/47.30 (assume @p3497 (forall @t4260 (= (tptp.c_Transitive__Closure_Ortrancl @t15 (tptp.hAPP @t4425 @t4745)) @t4752))) % 47.09/47.30 (assume @p3498 (forall @t392 (= (tptp.c_Transitive__Closure_Ortrancl @t15 @t4760) @t4757))) % 47.09/47.30 (assume @p3499 (forall @t4260 (= (tptp.hAPP @t4759 @t4745) @t4752))) % 47.09/47.30 (assume @p3500 (forall @t4317 (=> (tptp.hBOOL (tptp.hAPP @t4315 @t4761)) @t4763))) % 47.09/47.30 (assume @p3501 (forall @t392 (=> (tptp.hBOOL (tptp.hAPP @t4433 @t386)) (=> (tptp.hBOOL (tptp.hAPP @t4432 @t4752)) (= @t4758 @t4752))))) % 47.09/47.30 (assume @p3502 (forall @t4317 (=> @t4316 @t4763))) % 47.09/47.30 (assume @p3503 (forall @t4609 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t4745) @t543)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP (tptp.hAPP @t4377 (tptp.hAPP (tptp.hAPP @t4420 @t4740) @t543)) @t1667)) @t543)) (tptp.hBOOL (tptp.hAPP @t4762 @t543)))))) % 47.09/47.30 (assume @p3504 (forall @t4260 (= (tptp.hAPP (tptp.hAPP @t4377 @t4752) @t4752) @t4752))) % 47.09/47.30 (assume @p3505 (forall @t3406 (= @t4750 @t4751))) % 47.09/47.30 (assume @p3506 (forall (@list @t386 @t387 @t47 @t15) (=> (or (tptp.hBOOL (tptp.hAPP @t4764 @t4752)) (tptp.hBOOL (tptp.hAPP @t4764 @t4758))) (tptp.hBOOL (tptp.hAPP @t4764 @t4757))))) % 47.09/47.30 (assume @p3507 (forall @t3406 (= @t4740 (tptp.hAPP (tptp.hAPP @t4318 @t4745) @t4751)))) % 47.09/47.30 (assume @p3508 (forall @t594 (= (tptp.c_Transitive__Closure_Ortrancl @t15 @t3447) @t4745))) % 47.09/47.30 (assume @p3509 (forall @t4260 (= (tptp.hAPP @t4458 @t4752) @t2496))) % 47.09/47.30 (assume @p3510 (forall @t4260 (= (tptp.hAPP @t4472 @t4752) @t2496))) % 47.09/47.30 (assume @p3511 (forall @t4482 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t15 @t71 @t71) @t387) (tptp.c_Relation_OId @t71)) @t387))) % 47.09/47.30 (assume @p3512 (forall @t4482 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t15 @t15 @t71) @t4745) @t387) @t387))) % 47.09/47.30 (assume @p3513 (forall @t170 (= (tptp.hAPP (tptp.c_Relation_OImage @t15 @t15 @t4745) @t51) @t51))) % 47.09/47.30 (assume @p3514 (forall @t364 (= (tptp.hBOOL (tptp.hAPP @t4177 @t4745)) @t295))) % 47.09/47.30 (assume @p3515 (forall @t4767 (= @t4766 (or @t129 (and @t719 @t4765))))) % 47.09/47.30 (assume @p3516 (forall @t4732 (=> @t4178 @t4768))) % 47.09/47.30 (assume @p3517 (forall (@list @t387 @t294 @t290 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4177 @t4752)) (or @t295 (and @t296 (tptp.hBOOL (tptp.hAPP @t4177 @t4726))))))) % 47.09/47.30 (assume @p3518 (forall @t4732 (=> @t4748 @t4734))) % 47.09/47.30 (assume @p3519 (forall @t4732 (=> @t4720 @t4768))) % 47.09/47.30 (assume @p3520 (forall @t4771 (=> @t4770 (=> (tptp.hBOOL (tptp.hAPP @t4216 @t4715)) (tptp.hBOOL (tptp.hAPP @t4769 @t4715)))))) % 47.09/47.30 (assume @p3521 (forall @t594 (= (tptp.hAPP @t4472 @t4745) @t2496))) % 47.09/47.30 (assume @p3522 (forall @t594 (= (tptp.hAPP @t4458 @t4745) @t2496))) % 47.09/47.30 (assume @p3523 (forall @t594 (tptp.c_Relation_Orefl__on @t15 @t2496 @t4745))) % 47.09/47.30 (assume @p3524 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4277 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t4047)))) % 47.09/47.30 (assume @p3525 (forall (@list @t128 @t387 @t47 @t15) (=> (not (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t4472 @t387)))) (= @t4766 @t129)))) % 47.09/47.30 (assume @p3526 (forall (@list @t1667 @t290 @t294 @t15) (=> @t4773 (=> @t4380 @t4381)))) % 47.09/47.30 (assume @p3527 (forall (@list @t294 @t1667 @t290 @t15) (=> @t4380 (=> @t4773 @t4381)))) % 47.09/47.30 (assume @p3528 (forall @t4744 (= (tptp.c_Wellfounded_Owf @t15 @t4743) (and @t4411 @t4774)))) % 47.09/47.30 (assume @p3529 (forall @t4744 (= (tptp.c_Wellfounded_Oacyclic @t15 @t4743) (and @t4607 @t4774)))) % 47.09/47.30 (assume @p3530 (forall @t3406 (tptp.c_Relation_Orefl__on @t15 @t2496 @t4746))) % 47.09/47.30 (assume @p3531 (forall @t594 (= @t4745 (tptp.hAPP @t4161 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t3402) @t2452) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3402 @t4249 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3403 (tptp.tc_fun @t4249 @t54) @t3402) (tptp.c_COMBB @t3402 tptp.tc_HOL_Obool @t15)) tptp.c_fequal)) @t4326)))))) % 47.09/47.30 (assume @p3532 (forall @t3406 (tptp.c_Relation_Oirrefl @t15 @t4753))) % 47.09/47.30 (assume @p3533 (forall @t505 (= (tptp.hBOOL (tptp.hAPP @t4714 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t503))) % 47.09/47.30 (assume @p3534 (forall (@list @t51 @t1667 @t294 @t290 @t15) (=> @t4748 (=> @t4534 @t343)))) % 47.09/47.30 (assume @p3535 (forall (@list @t559 @t116) (and (=> @t4780 (= @t4776 @t3808)) (=> (not @t4780) (= @t4776 (tptp.hAPP (tptp.hAPP @t4775 @t3808) (tptp.c_Random_Olog @t116 (tptp.hAPP (tptp.hAPP @t3791 @t559) @t116)))))))) % 47.09/47.30 (assume @p3536 (forall (@list @t1718 @t666 @t558) (and (=> @t4782 (= @t4781 (tptp.hAPP (tptp.hAPP @t3809 (tptp.hAPP (tptp.hAPP @t4775 @t1718) @t558)) @t666))) (=> @t4783 (= @t4781 (tptp.hAPP (tptp.hAPP @t3809 @t558) @t666)))))) % 47.09/47.30 (assume @p3537 (forall (@list @t558 @t1790) (and (=> @t4785 (= @t4784 @t3808)) (=> (not @t4785) (= @t4784 (tptp.hAPP (tptp.hAPP @t4775 @t558) @t3808)))))) % 47.09/47.30 (assume @p3538 (forall (@list @t254 @t558) (=> (tptp.hBOOL (tptp.hAPP @t4787 @t558)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4777 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t4786) (tptp.hAPP (tptp.c_Random_Orange @t558) @t254))) @t558))))) % 47.09/47.30 (assume @p3539 (forall @t4353 (=> (= (tptp.hAPP (tptp.hAPP @t4420 @t4790) @t4740) @t3447) (not (tptp.hBOOL (tptp.hAPP @t4788 @t4715)))))) % 47.09/47.30 (assume @p3540 (forall @t3406 (= @t4791 (tptp.hAPP @t4789 @t4740)))) % 47.09/47.30 (assume @p3541 (forall @t594 (= (tptp.hAPP @t4789 @t4745) @t4745))) % 47.09/47.30 (assume @p3542 (forall @t4795 (= (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP @t3431 @t1667) @t543)) (tptp.hAPP (tptp.hAPP @t3865 @t4794) @t4793)))) % 47.09/47.30 (assume @p3543 (forall @t3406 (= @t4797 @t4796))) % 47.09/47.30 (assume @p3544 (forall @t3406 (= (tptp.c_Wellfounded_Oacyclic @t15 @t4790) @t4607))) % 47.09/47.30 (assume @p3545 (forall @t4799 (= (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t184 @t3430) @t386) @t1667)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t184 @t2509) @t386) @t4798)))) % 47.09/47.30 (assume @p3546 (forall @t4800 (= (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t71 @t184 @t15) @t1667) @t543)) (tptp.hAPP (tptp.hAPP @t4366 (tptp.hAPP (tptp.c_Relation_Oconverse @t184 @t15) @t543)) (tptp.hAPP (tptp.c_Relation_Oconverse @t71 @t184) @t1667))))) % 47.09/47.30 (assume @p3547 (forall @t170 (= (tptp.hAPP @t4789 @t4327) @t4327))) % 47.09/47.30 (assume @p3548 (forall (@list @t2 @t387 @t71 @t15) (= (tptp.hAPP @t4789 (tptp.hAPP (tptp.hAPP @t4162 @t387) @t2)) (tptp.hAPP (tptp.hAPP @t4162 (tptp.hAPP (tptp.c_Relation_Oconverse @t71 @t71) @t387)) @t2)))) % 47.09/47.30 (assume @p3549 (forall @t4464 (= (tptp.hAPP @t4792 @t4801) @t1667))) % 47.09/47.30 (assume @p3550 (forall @t4795 (= (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP @t4468 @t1667) @t543)) (tptp.hAPP (tptp.hAPP @t3859 @t4794) @t4793)))) % 47.09/47.30 (assume @p3551 (forall @t3406 (= (tptp.hAPP @t4310 @t4790) @t4311))) % 47.09/47.30 (assume @p3552 (forall @t4466 (= (tptp.hBOOL (tptp.hAPP @t2511 @t4794)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3429) @t1667))))) % 47.09/47.30 (assume @p3553 (forall @t3405 (= (tptp.c_Relation_Orefl__on @t15 @t51 @t4790) @t4598))) % 47.09/47.30 (assume @p3554 (forall @t4457 (=> @t4804 @t4803))) % 47.09/47.30 (assume @p3555 (forall @t4457 (=> @t3884 (tptp.hBOOL (tptp.hAPP @t4802 @t4801))))) % 47.09/47.30 (assume @p3556 (forall @t4457 (= @t4804 @t4803))) % 47.09/47.30 (assume @p3557 (forall @t3406 (=> @t4805 (tptp.c_Wellfounded_Owf @t15 @t4796)))) % 47.09/47.30 (assume @p3558 (forall @t3405 (=> @t4181 @t4807))) % 47.09/47.30 (assume @p3559 (forall @t4464 (= (tptp.hAPP @t4455 @t4801) @t4475))) % 47.09/47.30 (assume @p3560 (forall @t4466 (= @t4808 @t4463))) % 47.09/47.30 (assume @p3561 (forall @t4464 (= @t4463 @t4808))) % 47.09/47.30 (assume @p3562 (forall @t4744 (=> @t4810 @t4809))) % 47.09/47.30 (assume @p3563 (forall @t4811 (=> @t4809 @t4810))) % 47.09/47.30 (assume @p3564 (forall @t4811 (=> @t4813 @t4812))) % 47.09/47.30 (assume @p3565 (forall @t4811 (=> @t4812 @t4813))) % 47.09/47.30 (assume @p3566 (forall (@list @t48 @t51 @t1667 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t3878) @t48)) (tptp.hBOOL (tptp.hAPP @t4538 (tptp.hAPP @t2891 (tptp.hAPP (tptp.c_Relation_OImage @t15 @t71 @t4794) @t2880))))))) % 47.09/47.30 (assume @p3567 (forall @t3405 (=> @t4598 (tptp.hBOOL (tptp.hAPP @t4315 @t4806))))) % 47.09/47.30 (assume @p3568 (forall @t4605 (=> @t4807 (=> (= @t4473 @t51) @t4181)))) % 47.09/47.30 (assume @p3569 (forall @t3406 (=> @t4322 (=> @t4607 @t4805)))) % 47.09/47.30 (assume @p3570 (forall @t4464 (= @t4794 (tptp.hAPP @t3831 (tptp.hAPP @t3829 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t3430 @t88) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4814 (tptp.tc_fun @t3430 @t88) @t15) (tptp.c_COMBC @t71 @t3430 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t71 @t3429) @t4814 @t15) (tptp.hAPP (tptp.c_COMBB @t3429 @t3909 @t71) @t3876)) @t3955))) @t1667)))))) % 47.09/47.30 (assume @p3571 (forall (@list @t469 @t1144 @t1667 @t2 @t15) (=> (forall @t952 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 (tptp.hAPP @t2 @t3432)) @t949)) @t4740))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 (tptp.hAPP @t2 @t1376)) @t1145)) @t4740))))) % 47.09/47.30 (assume @p3572 (forall @t3405 (= (tptp.c_Relation_Ototal__on @t15 @t51 @t4753) @t4815))) % 47.09/47.30 (assume @p3573 (forall @t3406 (tptp.c_Relation_Ototal__on @t15 @t289 @t1667))) % 47.09/47.30 (assume @p3574 (forall @t3405 (= (tptp.c_Relation_Ototal__on @t15 @t51 @t4790) @t4815))) % 47.09/47.30 (assume @p3575 (forall @t3405 (= @t4815 (forall @t7 (=> @t176 (forall @t426 (=> @t838 (=> @t1016 (or (tptp.hBOOL (tptp.hAPP @t4436 @t1667)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 @t422) @t3)) @t1667))))))))))) % 47.09/47.30 (assume @p3576 (forall @t4819 (=> @t4818 (tptp.hBOOL (tptp.hAPP @t4722 @t4817))))) % 47.09/47.30 (assume @p3577 (forall @t3406 (=> @t4719 @t4607))) % 47.09/47.30 (assume @p3578 (forall @t4260 (= (tptp.hAPP (tptp.hAPP @t4816 @t1449) @t387) @t387))) % 47.09/47.30 (assume @p3579 (forall @t4822 (= (tptp.hAPP @t4389 @t4820) @t4821))) % 47.09/47.30 (assume @p3580 (forall (@list @t2 @t260 @t71 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t214 @t214) @t260) (tptp.c_Fun_Ocomp @t71 @t71 @t15 @t2)) (tptp.c_Fun_Ocomp @t71 @t71 @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t71 @t71) @t260) @t2))))) % 47.09/47.30 (assume @p3581 (forall @t4823 (=> (tptp.c_Wellfounded_Owf @t15 @t4820) @t4402))) % 47.09/47.30 (assume @p3582 (forall (@list @t47 @t260 @t15 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4826 @t47)) (tptp.hAPP @t4826 @t69)))) % 47.09/47.30 (assume @p3583 (forall @t1789 (= (tptp.hAPP @t4825 @t4827) (tptp.hAPP (tptp.hAPP @t4824 @t1634) @t2)))) % 47.09/47.30 (assume @p3584 (forall (@list @t387 @t260 @t1796 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4722 @t4820)) @t4818))) % 47.09/47.30 (assume @p3585 (forall @t4819 (= @t4818 (exists @t432 @t4828)))) % 47.09/47.30 (assume @p3586 (forall @t4823 (= @t4829 @t4821))) % 47.09/47.30 (assume @p3587 (forall (@list @t387 @t260 @t496 @t15) (= (tptp.hAPP (tptp.hAPP @t4816 @t1278) @t387) (tptp.hAPP (tptp.hAPP @t4377 (tptp.hAPP (tptp.hAPP @t4816 @t496) @t387)) @t4820)))) % 47.09/47.30 (assume @p3588 (forall @t4260 (= @t4830 @t4745))) % 47.09/47.30 (assume @p3589 (forall @t4704 (tptp.hBOOL (tptp.hAPP @t4788 @t4830)))) % 47.09/47.30 (assume @p3590 (forall @t4767 (=> (tptp.hBOOL (tptp.hAPP @t4118 @t4830)) @t129))) % 47.09/47.30 (assume @p3591 (forall (@list @t202 @t387 @t260 @t128 @t47 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4118 @t4820)) (=> (tptp.hBOOL (tptp.hAPP @t4216 @t387)) @t4831)))) % 47.09/47.30 (assume @p3592 (forall (@list @t260 @t202 @t387 @t128 @t47 @t15) (=> @t4229 (=> (tptp.hBOOL (tptp.hAPP @t4216 @t4820)) @t4831)))) % 47.09/47.30 (assume @p3593 (forall (@list @t2 @t260 @t15) (= (tptp.hAPP (tptp.hAPP @t4824 @t261) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t15 @t15 @t2) @t4826)))) % 47.09/47.30 (assume @p3594 (forall @t1554 (= (tptp.hAPP (tptp.hAPP @t4824 @t1278) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t15 @t15 @t4827) @t4826)))) % 47.09/47.30 (assume @p3595 (forall @t433 (= (tptp.hAPP (tptp.hAPP @t4824 @t520) @t2) @t4568))) % 47.09/47.30 (assume @p3596 (forall @t4819 (= (tptp.hBOOL (tptp.hAPP @t4722 @t4726)) (exists @t432 (and @t2269 @t4828))))) % 47.09/47.30 (assume @p3597 (forall @t4260 (= @t4752 @t4817))) % 47.09/47.30 (assume @p3598 (forall @t594 (= (tptp.c_Nat_Ofunpow @t15) @t4824))) % 47.09/47.30 (assume @p3599 (forall @t4839 (=> @t4838 (=> @t4837 (not (forall @t4836 (=> @t906 (=> @t4835 (not (tptp.hBOOL (tptp.hAPP @t4833 @t4832))))))))))) % 47.09/47.30 (assume @p3600 (forall @t4839 (=> @t4838 (=> @t4837 (not (forall @t4836 (=> @t906 (=> (tptp.hBOOL (tptp.hAPP @t4834 @t4832)) @t4840)))))))) % 47.09/47.30 (assume @p3601 (forall @t3418 (=> (tptp.c_Relation_Osingle__valued @t15 @t71 (tptp.hAPP @t4792 @t387)) (= @t3417 @t3416)))) % 47.09/47.30 (assume @p3602 (forall @t4822 (=> (tptp.c_Relation_Osingle__valued @t15 @t15 @t387) (tptp.c_Relation_Osingle__valued @t15 @t15 @t4820)))) % 47.09/47.30 (assume @p3603 (forall @t4479 (=> @t4478 (=> (tptp.c_Relation_Osingle__valued @t15 @t71 @t543) @t4841)))) % 47.09/47.30 (assume @p3604 (forall @t594 (tptp.c_Relation_Osingle__valued @t15 @t15 @t4745))) % 47.09/47.30 (assume @p3605 (forall (@list @t543 @t184 @t1667 @t71 @t15) (=> @t4841 (=> (tptp.c_Relation_Osingle__valued @t71 @t184 @t543) (tptp.c_Relation_Osingle__valued @t15 @t184 @t4369))))) % 47.09/47.30 (assume @p3606 (forall @t170 (tptp.c_Relation_Osingle__valued @t15 @t15 @t4327))) % 47.09/47.30 (assume @p3607 (forall (@list @t202 @t128 @t47 @t1667 @t71 @t15) (=> @t4841 (=> (tptp.hBOOL (tptp.hAPP @t3862 @t1667)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 (tptp.hAPP @t3860 @t202)) @t1667)) @t1614))))) % 47.09/47.30 (assume @p3608 (forall @t4466 (= @t4841 (forall @t787 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 @t4579) @t1667)) (forall @t2443 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 @t4842) @t1667)) (= @t783 @t2441)))))))) % 47.09/47.30 (assume @p3609 (forall @t4843 (=> (tptp.c_Relation_Osingle__valued @t15 @t15 @t1667) (=> @t4770 (=> (tptp.hBOOL (tptp.hAPP @t4769 @t4740)) (or (tptp.hBOOL (tptp.hAPP @t4216 @t4740)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 @t202) @t128)) @t4740)))))))) % 47.09/47.30 (assume @p3610 (forall @t4848 (=> @t4847 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t294)) @t4844)) (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t4846 @t34)) @t2542)))) @t4845)))) % 47.09/47.30 (assume @p3611 (forall @t4848 (=> @t4847 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4175 @t3)) @t4844)) (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t4218 @t34)) @t4698)))) @t4845)))) % 47.09/47.30 (assume @p3612 (forall @t4839 (=> @t4831 (not (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t4834 @t4820)) @t4840)))))) % 47.09/47.30 (assume @p3613 (forall @t4839 (=> @t4831 (not (forall @t2461 (=> @t4835 (not @t4849))))))) % 47.09/47.30 (assume @p3614 (forall @t4839 (=> @t4831 (exists @t2461 (and @t4835 @t4849))))) % 47.09/47.30 (assume @p3615 (forall @t4767 (=> @t4765 (exists @t2443 (and (tptp.hBOOL (tptp.hAPP @t4851 @t4752)) (tptp.hBOOL (tptp.hAPP @t4850 @t387))))))) % 47.09/47.30 (assume @p3616 (forall @t4767 (=> @t4765 (exists @t2443 (and (tptp.hBOOL (tptp.hAPP @t4851 @t387)) (tptp.hBOOL (tptp.hAPP @t4850 @t4752))))))) % 47.09/47.30 (assume @p3617 (forall (@list @t1796 @t15) (=> (tptp.hBOOL (tptp.hAPP @t4722 @t4745)) (not (forall @t7 (not (= @t1796 @t4013))))))) % 47.09/47.30 (assume @p3618 (forall (@list @t469 @t2 @t260 @t496) (=> (forall @t952 (=> (and @t4852 @t2341) @t2339)) (=> @t860 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t1553) @t469)) (=> @t2338 (exists @t952 (and @t4852 @t2336 @t2335)))))))) % 47.09/47.30 (assume @p3619 (forall @t385 (=> @t720 (=> @t928 (=> @t357 (= @t2817 @t4854)))))) % 47.09/47.30 (assume @p3620 (forall (@list @t202 @t2 @t15 @t71) (= (tptp.hAPP @t4855 @t377) @t202))) % 47.09/47.30 (assume @p3621 (forall @t620 (= @t1322 (tptp.c_Finite__Set_Ofold @t71 @t15 @t4690)))) % 47.09/47.30 (assume @p3622 (forall (@list @t543 @t51 @t1062 @t2 @t71 @t15) (=> @t4677 (=> @t928 (= (tptp.hAPP @t1099 @t543) (tptp.hAPP (tptp.hAPP @t4856 @t543) @t51)))))) % 47.09/47.30 (assume @p3623 (forall (@list @t51 @t202 @t2 @t15 @t71) (= (tptp.hAPP @t4855 @t51) (tptp.c_HOL_OThe @t15 (tptp.c_Finite__Set_Ofold__graph @t71 @t15 @t2 @t202 @t51))))) % 47.09/47.30 (assume @p3624 (forall @t67 (=> @t928 (= @t57 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t15 @t54 @t297) @t48) @t51))))) % 47.09/47.30 (assume @p3625 (forall @t4860 (=> @t208 (=> @t928 (= (tptp.hAPP @t4858 @t319) (tptp.hAPP @t1168 @t4859)))))) % 47.09/47.30 (assume @p3626 (forall @t4860 (=> @t1000 (=> @t928 (= (tptp.hAPP @t4862 @t319) (tptp.hAPP @t1170 @t4863)))))) % 47.09/47.30 (assume @p3627 (forall @t4860 (=> @t720 (=> @t928 (= (tptp.hAPP @t4865 @t319) (tptp.hAPP @t2819 @t4866)))))) % 47.09/47.30 (assume @p3628 (forall @t4860 (=> @t720 (=> @t928 (= (tptp.hAPP @t4867 @t319) (tptp.hAPP @t2802 @t4868)))))) % 47.09/47.30 (assume @p3629 (forall @t4874 (=> @t1238 (=> @t928 @t4873)))) % 47.09/47.30 (assume @p3630 (forall @t4874 (=> @t1238 (=> @t928 @t4876)))) % 47.09/47.30 (assume @p3631 (forall @t945 (=> @t2598 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t266 @t48) @t2648) (tptp.hAPP (tptp.hAPP @t4877 @t48) @t51)))))) % 47.09/47.30 (assume @p3632 (forall (@list @t290 @t51 @t1062 @t2 @t15) (=> @t1192 (=> @t928 (= (tptp.hAPP @t1062 @t319) (tptp.hAPP (tptp.hAPP @t4878 @t290) @t51)))))) % 47.09/47.30 (assume @p3633 (forall @t4880 (=> @t208 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t4879) @t4859))))))) % 47.09/47.30 (assume @p3634 (forall @t4880 (=> @t1000 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t4863) @t4881))))))) % 47.09/47.30 (assume @p3635 (forall @t4880 (=> @t720 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t4866) (tptp.hAPP @t2819 @t294)))))))) % 47.09/47.30 (assume @p3636 (forall @t4880 (=> @t720 (=> @t928 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2802 @t294)) @t4868))))))) % 47.09/47.30 (assume @p3637 (forall @t1085 (=> @t1654 (=> @t928 @t4882)))) % 47.09/47.30 (assume @p3638 (forall @t1085 (=> @t73 (=> @t928 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t319) (tptp.hAPP (tptp.hAPP @t4857 @t290) @t51)))))) % 47.09/47.30 (assume @p3639 (forall @t1085 (=> @t73 (=> @t928 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t319) (tptp.hAPP (tptp.hAPP @t4861 @t290) @t51)))))) % 47.09/47.30 (assume @p3640 (forall @t1085 (=> @t720 (=> @t928 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t319) @t4883))))) % 47.09/47.30 (assume @p3641 (forall @t1085 (=> @t720 (=> @t928 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t319) @t4884))))) % 47.09/47.30 (assume @p3642 (forall @t1085 (=> @t720 (=> @t928 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t319) @t4883))))) % 47.09/47.30 (assume @p3643 (forall @t1085 (=> @t720 (=> @t928 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t319) @t4884))))) % 47.09/47.30 (assume @p3644 (forall @t67 (=> @t928 (= @t584 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t15 @t54 @t1212) @t48) @t51))))) % 47.09/47.30 (assume @p3645 (forall @t1103 (=> @t1102 (=> @t928 (=> @t357 (= @t1128 (tptp.hAPP (tptp.hAPP @t4878 @t47) @t51))))))) % 47.09/47.30 (assume @p3646 (forall @t1061 (=> @t2598 (=> @t928 (= @t2648 (tptp.hAPP (tptp.hAPP @t4877 (tptp.c_Orderings_Obot__class_Obot @t71)) @t51)))))) % 47.09/47.30 (assume @p3647 (forall @t1085 (=> @t1852 (=> @t928 (=> @t359 @t4882))))) % 47.09/47.30 (assume @p3648 (forall @t385 (=> @t73 (=> @t928 (=> @t357 (= @t1171 (tptp.hAPP (tptp.hAPP @t4857 @t47) @t51))))))) % 47.09/47.30 (assume @p3649 (forall @t385 (=> @t73 (=> @t928 (=> @t357 (= @t1173 (tptp.hAPP (tptp.hAPP @t4861 @t47) @t51))))))) % 47.09/47.30 (assume @p3650 (forall @t385 (=> @t720 (=> @t928 (=> @t357 (= @t2750 @t4885)))))) % 47.09/47.30 (assume @p3651 (forall @t385 (=> @t720 (=> @t928 (=> @t357 (= @t2805 @t4854)))))) % 47.09/47.30 (assume @p3652 (forall @t385 (=> @t720 (=> @t928 (=> @t357 (= @t2765 @t4885)))))) % 47.09/47.30 (assume @p3653 (forall @t4888 (=> @t4887 (=> @t928 (=> @t331 (= @t4870 @t4886)))))) % 47.09/47.30 (assume @p3654 (forall @t4874 (=> @t4887 (=> @t928 (= @t4872 @t4886))))) % 47.09/47.30 (assume @p3655 (forall @t746 (=> @t4887 (= @t4684 @t4685)))) % 47.09/47.30 (assume @p3656 (forall @t1989 (=> @t4887 (=> @t1905 (=> @t1947 @t353))))) % 47.09/47.30 (assume @p3657 (forall @t594 (=> @t1852 (tptp.c_Finite__Set_Ofun__left__comm @t15 @t15 @t1590)))) % 47.09/47.30 (assume @p3658 (forall @t747 (=> @t4887 (= (tptp.hAPP @t69 (tptp.hAPP @t411 @t202)) (tptp.hAPP @t411 @t1237))))) % 47.09/47.30 (assume @p3659 (forall @t1240 (=> @t4887 (tptp.c_Finite__Set_Ofun__left__comm @t184 @t71 @t1239)))) % 47.09/47.30 (assume @p3660 (forall @t4888 (=> @t4887 (=> @t928 (= @t4871 @t4875))))) % 47.09/47.30 (assume @p3661 (forall (@list @t128 @t51 @t202 @t2 @t71 @t15) (=> @t4887 (=> @t1947 (= @t4870 @t128))))) % 47.09/47.30 (assume @p3662 (forall (@list @t202 @t51 @t2 @t71 @t15) (=> @t4887 (=> @t928 (tptp.hBOOL (tptp.hAPP @t1904 @t4870)))))) % 47.09/47.30 (assume @p3663 (forall @t4888 (=> @t4887 (=> @t928 (=> @t357 @t4876))))) % 47.09/47.30 (assume @p3664 (forall @t4888 (=> @t4887 (=> @t928 (=> @t357 @t4873))))) % 47.09/47.30 (assume @p3665 (forall (@list @t290 @t128 @t51 @t202 @t2 @t71 @t15) (=> @t4887 (=> @t1947 (=> @t293 (exists (@list @t4889) (and (= @t128 (tptp.hAPP @t397 @t4889)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t15 @t71 @t2 @t202 @t614) @t4889))))))))) % 47.09/47.30 (assume @p3666 (forall @t1061 (=> @t2598 (=> @t928 (= @t4893 (tptp.hAPP (tptp.hAPP @t4890 (tptp.c_Orderings_Otop__class_Otop @t71)) @t51)))))) % 47.09/47.30 (assume @p3667 (forall @t4898 (=> @t4897 (=> @t293 @t2503)))) % 47.09/47.30 (assume @p3668 (forall @t4898 (=> @t4897 (=> (not @t2503) @t359)))) % 47.09/47.30 (assume @p3669 (forall @t4905 (=> @t4904 (=> (not @t4900) (not @t4899))))) % 47.09/47.30 (assume @p3670 (forall @t4905 (=> @t4904 (=> @t4899 @t4900)))) % 47.09/47.30 (assume @p3671 (forall @t4908 (=> @t4907 (=> @t293 @t2681)))) % 47.09/47.30 (assume @p3672 (forall @t4908 (=> @t4907 (=> (not @t2681) @t359)))) % 47.09/47.30 (assume @p3673 (forall (@list @t51 @t71 @t2607 @t15) (=> (exists @t7 (and @t4911 @t4910)) (tptp.hBOOL (tptp.hAPP @t1082 @t4909))))) % 47.09/47.30 (assume @p3674 (forall @t1515 (= (tptp.hAPP @t2834 @t4903) (tptp.hAPP @t2557 @t4912)))) % 47.09/47.30 (assume @p3675 (forall @t1515 (= (tptp.hAPP @t2834 @t2558) (tptp.hAPP @t4902 @t4912)))) % 47.09/47.30 (assume @p3676 (forall @t2630 (= @t4916 @t4915))) % 47.09/47.30 (assume @p3677 (forall @t2635 (= @t4915 @t4916))) % 47.09/47.30 (assume @p3678 (forall @t2584 (= (tptp.hAPP @t4902 (tptp.hAPP (tptp.hAPP @t2583 (tptp.hAPP (tptp.hAPP @t2582 @t4917) @t48)) @t161)) (tptp.hAPP (tptp.hAPP @t4917 @t2579) @t161)))) % 47.09/47.30 (assume @p3679 (forall @t2590 (= (tptp.hAPP (tptp.hAPP @t4901 @t2589) @t161) (tptp.hAPP @t4918 (tptp.hAPP (tptp.hAPP @t2587 (tptp.hAPP (tptp.hAPP @t2586 @t4901) @t48)) @t161))))) % 47.09/47.30 (assume @p3680 (forall @t4799 (= (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t184 @t3430) @t386) @t1667)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t184 @t2509) @t386) @t4798)))) % 47.09/47.30 (assume @p3681 (forall @t2568 (and (=> @t2566 (= @t4922 @t48)) (=> @t2567 (= @t4922 @t4920))))) % 47.09/47.30 (assume @p3682 (forall @t2568 (and (=> @t2566 (= @t4924 @t51)) (=> @t2567 (= @t4924 @t4923))))) % 47.09/47.30 (assume @p3683 (forall @t2561 (= (tptp.hAPP (tptp.hAPP @t4901 @t2560) @t48) (tptp.hAPP (tptp.hAPP @t962 @t2501) @t4903)))) % 47.09/47.30 (assume @p3684 (forall @t2599 (=> @t2598 (=> @t329 (= (tptp.hAPP @t4892 @t2595) @t2371))))) % 47.09/47.30 (assume @p3685 (forall @t2659 (=> @t2658 (= (tptp.hAPP (tptp.hAPP @t931 @t2657) @t4909) @t4909)))) % 47.09/47.30 (assume @p3686 (forall @t2507 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4925 @t2506) @t47)) (tptp.hBOOL (tptp.hAPP @t312 (tptp.hAPP @t4925 @t1667)))))) % 47.09/47.30 (assume @p3687 (forall @t2594 (= @t4904 (forall @t7 (=> @t402 @t2593))))) % 47.09/47.30 (assume @p3688 (forall @t3902 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4906 @t2496) @t3901) @t47) @t128)) (tptp.hBOOL (tptp.hAPP @t3896 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t3892) @t2496) @t1667)))))) % 47.09/47.30 (assume @p3689 (forall @t1515 (= (= @t2496 @t4903) @t4926))) % 47.09/47.30 (assume @p3690 (forall @t2601 (= (= @t4903 @t2496) @t4926))) % 47.09/47.30 (assume @p3691 (forall @t2624 (= (tptp.hAPP @t4927 @t4929) (tptp.hAPP (tptp.hAPP @t962 @t4928) (tptp.hAPP @t4927 @t48))))) % 47.09/47.30 (assume @p3692 (forall @t2645 (=> @t703 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t71 @t829) @t51) @t2) @t47) (tptp.hAPP @t4931 @t2644))))) % 47.09/47.30 (assume @p3693 (forall @t2577 (=> @t703 (= (tptp.hAPP @t4931 (tptp.hAPP (tptp.hAPP @t2576 @t4932) @t2)) (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t2574 @t4931) @t825)))))) % 47.09/47.30 (assume @p3694 (forall @t1515 (= (tptp.hAPP @t521 @t4903) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t71 @t243) @t51) @t2559)))) % 47.09/47.30 (assume @p3695 (forall (@list @t48 @t161 @t71 @t290 @t15) (= @t4934 @t4933))) % 47.09/47.30 (assume @p3696 (forall (@list @t48 @t290 @t161 @t15 @t71) (= @t4933 @t4934))) % 47.09/47.30 (assume @p3697 (forall @t2615 (= (tptp.hAPP @t4902 @t2614) (tptp.hAPP (tptp.hAPP @t4917 @t2612) @t48)))) % 47.09/47.30 (assume @p3698 (forall @t2619 (= (tptp.hAPP (tptp.hAPP @t4901 @t2618) @t48) (tptp.hAPP @t4918 @t2617)))) % 47.09/47.30 (assume @p3699 (forall @t2727 (= (tptp.hAPP @t2671 @t4936) (tptp.hAPP @t4918 @t2726)))) % 47.09/47.30 (assume @p3700 (forall @t594 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t15)))) % 47.09/47.30 (assume @p3701 (forall @t2654 (=> @t2653 (= (tptp.hAPP @t4895 @t2652) (tptp.hAPP @t398 @t4896))))) % 47.09/47.30 (assume @p3702 (forall (@list @t48 @t15 @t71) (= (tptp.hAPP (tptp.hAPP @t4901 @t377) @t48) @t2496))) % 47.09/47.30 (assume @p3703 (forall @t395 (and (=> @t327 (= @t4937 @t2512)) (=> @t329 (= @t4937 @t281))))) % 47.09/47.30 (assume @p3704 (forall @t2626 (= (tptp.hAPP (tptp.hAPP @t4901 @t91) @t2371) (tptp.hAPP (tptp.hAPP @t962 (tptp.hAPP @t4902 @t2371)) (tptp.hAPP (tptp.hAPP @t4901 @t48) @t2371))))) % 47.09/47.30 (assume @p3705 (forall (@list @t35 @t51 @t71 @t15) (= (tptp.hAPP @t2386 (tptp.hAPP @t4940 (tptp.hAPP @t4939 @t35))) (tptp.hAPP @t4902 (tptp.hAPP @t2416 (tptp.hAPP @t805 @t35)))))) % 47.09/47.30 (assume @p3706 (forall @t2655 (=> @t293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t223 @t4896) @t2501))))) % 47.09/47.30 (assume @p3707 (forall @t2636 (= (tptp.hBOOL (tptp.hAPP @t63 @t4928)) (forall @t7 (=> @t2608 (tptp.hBOOL (tptp.hAPP @t63 @t2606))))))) % 47.09/47.30 (assume @p3708 (forall @t2630 (= @t4942 @t4941))) % 47.09/47.30 (assume @p3709 (forall @t2630 (= @t4944 @t4943))) % 47.09/47.30 (assume @p3710 (forall @t2635 (= @t4941 @t4942))) % 47.09/47.30 (assume @p3711 (forall @t2636 (= (tptp.hAPP @t179 @t4928) (tptp.hAPP @t4927 (tptp.hAPP (tptp.hAPP @t2415 @t179) @t51))))) % 47.09/47.30 (assume @p3712 (forall @t2637 (= @t4943 @t4944))) % 47.09/47.30 (assume @p3713 (forall @t2643 (= (tptp.hAPP (tptp.hAPP @t55 @t4928) (tptp.hAPP @t4945 @t48)) (tptp.hAPP @t4927 (tptp.hAPP (tptp.hAPP @t2642 @t4945) (tptp.hAPP (tptp.hAPP @t2639 (tptp.hAPP @t2638 @t2621)) @t48)))))) % 47.09/47.30 (assume @p3714 (forall (@list @t290 @t2 @t51 @t71 @t15) (=> @t2592 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 (tptp.hAPP @t4931 @t2)) @t290)) (exists @t7 (and @t402 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 @t5) @t290)))))))) % 47.09/47.30 (assume @p3715 (forall (@list @t2371 @t51 @t71 @t1486 @t15) (=> @t703 (= (tptp.hBOOL (tptp.hAPP @t4946 (tptp.hAPP @t4931 @t2371))) (forall @t7 (=> @t402 (tptp.hBOOL (tptp.hAPP @t4946 @t2591)))))))) % 47.09/47.30 (assume @p3716 (forall (@list @t48 @t51 @t184 @t1667 @t71 @t15) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4948) @t4947)))) % 47.09/47.30 (assume @p3717 (forall @t945 (=> @t2598 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 (tptp.hAPP (tptp.hAPP @t4891 @t48) @t2)) @t4893)))))) % 47.09/47.30 (assume @p3718 (forall @t2601 (= @t4903 (tptp.hAPP @t2386 (tptp.hAPP @t4940 (tptp.hAPP @t4939 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2585 @t88) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t243 @t4949 @t15) @t2462) @t173)) @t48))))))) % 47.09/47.30 (assume @p3719 (forall @t2568 (and (=> @t2566 (= @t4923 @t2512)) (=> @t2567 (= @t4923 @t4924))))) % 47.09/47.30 (assume @p3720 (forall @t2568 (and (=> @t2566 (= @t4920 @t2512)) (=> @t2567 (= @t4920 @t4922))))) % 47.09/47.30 (assume @p3721 (forall @t2568 (and (=> @t2566 (= @t4951 @t2512)) (=> @t2567 (= @t4951 @t4950))))) % 47.09/47.30 (assume @p3722 (forall @t2568 (and (=> @t2566 (= @t4950 (tptp.hAPP (tptp.hAPP @t616 @t2512) @t48))) (=> @t2567 (= @t4950 @t4951))))) % 47.09/47.30 (assume @p3723 (forall @t2568 (and (=> @t2566 (= @t4953 @t51)) (=> @t2567 (= @t4953 @t4952))))) % 47.09/47.30 (assume @p3724 (forall @t2651 (=> @t2598 (=> @t2650 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 (tptp.hAPP @t4892 @t2371)) @t2649)))))) % 47.09/47.30 (assume @p3725 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t1866) @t2495) @t2359) @t1867)) % 47.09/47.30 (assume @p3726 (forall @t2568 (and (=> @t2566 (= @t4952 @t2512)) (=> @t2567 (= @t4952 @t4953))))) % 47.09/47.30 (assume @p3727 (forall (@list @t48 @t184 @t51 @t1667 @t71 @t15) (=> (tptp.c_Relation_Osingle__valued @t15 @t71 @t4794) (=> (not (= @t51 (tptp.c_Orderings_Obot__class_Obot @t828))) (= @t4948 @t4947))))) % 47.09/47.30 (assume @p3728 (forall @t945 (=> @t2598 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t1050 @t48) @t4893) (tptp.hAPP (tptp.hAPP @t4890 @t48) @t51)))))) % 47.09/47.30 (assume @p3729 (forall @t170 (=> @t703 (=> @t928 (= @t4954 (tptp.hAPP (tptp.hAPP @t4861 @t2523) @t51)))))) % 47.09/47.30 (assume @p3730 (forall @t170 (=> @t703 (=> @t928 (= @t4955 (tptp.hAPP (tptp.hAPP @t4857 @t321) @t51)))))) % 47.09/47.30 (assume @p3731 (forall @t4958 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t4957 @t2371)) @t4956)) (tptp.hBOOL (tptp.hAPP @t927 (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t2371)))))) % 47.09/47.30 (assume @p3732 (forall (@list @t51 @t161 @t508 @t15) (=> @t4963 (=> @t4962 @t4961)))) % 47.09/47.30 (assume @p3733 (forall (@list @t508 @t161 @t51 @t15) (=> @t4964 (=> @t4963 @t4962)))) % 47.09/47.30 (assume @p3734 (forall @t2763 (= @t4907 @t4965))) % 47.09/47.30 (assume @p3735 (forall @t2522 (= @t4897 (forall @t7 (=> @t176 @t2521))))) % 47.09/47.30 (assume @p3736 (forall @t2601 (= @t4969 @t4967))) % 47.09/47.30 (assume @p3737 (forall @t2601 (= @t4967 @t4969))) % 47.09/47.30 (assume @p3738 (forall @t2601 (= @t4903 @t4972))) % 47.09/47.30 (assume @p3739 (forall @t4973 (= @t4972 @t4903))) % 47.09/47.30 (assume @p3740 (forall @t67 (= (tptp.hAPP @t56 @t4975) (tptp.hAPP (tptp.hAPP @t4974 @t48) @t56)))) % 47.09/47.30 (assume @p3741 (forall @t170 (=> @t703 (= @t4955 (tptp.c_Complete__Lattice_OInf__class_OInf @t15 (tptp.hAPP @t2386 (tptp.hAPP @t4977 (tptp.hAPP @t4976 @t2756)))))))) % 47.09/47.30 (assume @p3742 (forall @t170 (=> @t703 (= @t4954 (tptp.c_Complete__Lattice_OSup__class_OSup @t15 (tptp.hAPP @t2386 (tptp.hAPP @t4977 (tptp.hAPP @t4976 @t130)))))))) % 47.09/47.30 (assume @p3743 (forall @t93 (=> @t4979 (tptp.hBOOL (tptp.hAPP @t63 @t4978))))) % 47.09/47.30 (assume @p3744 (forall (@list @t290 @t386 @t15) (=> @t2592 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t714 (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t386)) @t290)) (exists @t7 (and @t427 (tptp.hBOOL (tptp.hAPP @t2749 @t290)))))))) % 47.09/47.30 (assume @p3745 (forall (@list @t386 @t290 @t15) (=> @t2592 (= (tptp.hBOOL (tptp.hAPP @t761 (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t386))) (exists @t7 (and @t427 (tptp.hBOOL (tptp.hAPP @t761 @t3)))))))) % 47.09/47.30 (assume @p3746 (forall @t632 (=> @t703 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t4955) @t294)) @t4980)))) % 47.09/47.30 (assume @p3747 (forall (@list @t51 @t294 @t15) (=> @t703 (= (tptp.hBOOL (tptp.hAPP @t1674 @t4954)) @t4981)))) % 47.09/47.30 (assume @p3748 (forall @t4983 (= (= (tptp.hAPP (tptp.hAPP @t962 @t4959) @t51) @t289) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4957 @t161)) (= (tptp.hAPP @t4982 @t51) @t289)))))) % 47.09/47.30 (assume @p3749 (forall @t4260 (= (tptp.hAPP @t4310 (tptp.c_Complete__Lattice_OSup__class_OSup @t3403 @t387)) (tptp.c_Complete__Lattice_OSup__class_OSup @t54 (tptp.hAPP (tptp.c_Set_Oimage @t3403 @t54 @t4310) @t387))))) % 47.09/47.30 (assume @p3750 (forall @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t552) @t51))) % 47.09/47.30 (assume @p3751 (forall (@list @t386 @t71 @t15) (= (tptp.hAPP @t4474 (tptp.c_Complete__Lattice_OSup__class_OSup @t2509 @t386)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2509 @t54) @t386) @t4474)))) % 47.09/47.30 (assume @p3752 (forall @t67 (= (tptp.hAPP @t963 @t4986) (tptp.hAPP @t4985 @t963)))) % 47.09/47.30 (assume @p3753 (forall @t93 (= (tptp.hAPP (tptp.hAPP @t962 @t4986) @t51) (tptp.hAPP @t4985 (tptp.hAPP (tptp.hAPP @t778 @t962) @t51))))) % 47.09/47.30 (assume @p3754 (forall @t2601 (= @t4990 @t4989))) % 47.09/47.30 (assume @p3755 (forall @t2601 (= @t4989 @t4990))) % 47.09/47.30 (assume @p3756 (forall (@list @t386 @t15 @t71) (= (tptp.hAPP @t4455 (tptp.c_Complete__Lattice_OSup__class_OSup @t3430 @t386)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3430 @t54) @t386) @t4455)))) % 47.09/47.30 (assume @p3757 (forall @t428 (= (tptp.hAPP @t85 (tptp.c_Complete__Lattice_OSup__class_OSup @t88 @t386)) (tptp.hAPP (tptp.hAPP @t4987 @t386) @t85)))) % 47.09/47.30 (assume @p3758 (forall (@list @t48 @t508 @t71 @t15) (= (tptp.hAPP (tptp.hAPP @t4489 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t508)) @t48) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t54 @t2509) @t508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t3830 @t2509) @t4489) @t48))))) % 47.09/47.30 (assume @p3759 (forall @t406 (= (tptp.hAPP @t2671 @t4968) (tptp.hAPP @t4988 @t2671)))) % 47.09/47.30 (assume @p3760 (forall @t93 (=> @t4979 @t4993))) % 47.09/47.30 (assume @p3761 (forall @t594 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t551) @t289))) % 47.09/47.30 (assume @p3762 (forall @t67 (=> (tptp.hBOOL (tptp.hAPP @t4994 @t48)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4978) @t4986))))) % 47.09/47.30 (assume @p3763 (forall @t3405 (=> @t4181 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t3401) @t51)))) % 47.09/47.30 (assume @p3764 (forall @t326 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t4995) (tptp.hAPP (tptp.hAPP @t55 @t290) @t4986)))) % 47.09/47.30 (assume @p3765 (forall @t170 (=> @t4997 @t4996))) % 47.09/47.30 (assume @p3766 (forall @t170 (tptp.hBOOL (tptp.hAPP @t4994 (tptp.hAPP @t521 @t4978))))) % 47.09/47.30 (assume @p3767 (forall @t93 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t48) @t51)) (tptp.hBOOL (tptp.hAPP @t4992 @t4975))))) % 47.09/47.30 (assume @p3768 (forall @t594 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t551) @t2496))) % 47.09/47.30 (assume @p3769 (forall @t170 (= @t4991 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t5000 (tptp.c_HOL_OAll @t54)) (tptp.hAPP (tptp.hAPP @t4999 (tptp.hAPP @t2941 (tptp.hAPP (tptp.hAPP @t2937 tptp.c_fimplies) @t4998))) @t173)))))) % 47.09/47.30 (assume @p3770 (forall @t594 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t2518) @t2496))) % 47.09/47.30 (assume @p3771 (forall @t67 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t5001) (tptp.hAPP (tptp.hAPP @t55 @t4978) @t4986)))) % 47.09/47.30 (assume @p3772 (forall @t326 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t4995) (tptp.hAPP (tptp.hAPP @t962 @t290) @t4975)))) % 47.09/47.30 (assume @p3773 (forall @t2601 (= @t2558 @t5002))) % 47.09/47.30 (assume @p3774 (forall @t4973 (= @t5002 @t2558))) % 47.09/47.30 (assume @p3775 (forall @t332 (=> @t703 (=> @t331 (tptp.hBOOL (tptp.hAPP @t131 @t4955)))))) % 47.09/47.30 (assume @p3776 (forall @t594 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t2518) @t289))) % 47.09/47.30 (assume @p3777 (forall @t332 (=> @t703 (=> @t331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t4954) @t47)))))) % 47.09/47.30 (assume @p3778 (forall @t67 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t5001) (tptp.hAPP (tptp.hAPP @t962 @t4991) @t4975)))) % 47.09/47.30 (assume @p3779 (forall @t594 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t289) @t321)))) % 47.09/47.30 (assume @p3780 (forall @t292 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t335) @t290)))) % 47.09/47.30 (assume @p3781 (forall @t320 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t319) (tptp.hAPP @t1168 @t4955))))) % 47.09/47.30 (assume @p3782 (forall @t2630 (= (tptp.hAPP @t4913 @t4929) (tptp.hAPP (tptp.hAPP @t962 (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t5004)) (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t5003))))) % 47.09/47.30 (assume @p3783 (forall @t594 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t2496) @t2523)))) % 47.09/47.30 (assume @p3784 (forall @t292 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t335) @t290)))) % 47.09/47.30 (assume @p3785 (forall @t594 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t289) @t2523)))) % 47.09/47.30 (assume @p3786 (forall @t594 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t2496) @t321)))) % 47.09/47.30 (assume @p3787 (forall @t320 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t319) (tptp.hAPP @t1170 @t4954))))) % 47.09/47.30 (assume @p3788 (forall @t67 (= @t57 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t5005)))) % 47.09/47.30 (assume @p3789 (forall @t2630 (= (tptp.hAPP @t2627 @t2623) (tptp.hAPP (tptp.hAPP @t55 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t5004)) (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t5003))))) % 47.09/47.30 (assume @p3790 (forall @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t5006)) (tptp.hAPP (tptp.hAPP @t962 @t4978) @t4986))))) % 47.09/47.30 (assume @p3791 (forall @t67 (= @t964 (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t5005)))) % 47.09/47.30 (assume @p3792 (forall @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t55 @t4991) @t4975)) (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t5006))))) % 47.09/47.30 (assume @p3793 (forall @t364 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t351) @t4879)))) % 47.09/47.30 (assume @p3794 (forall @t364 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t351) @t4881)))) % 47.09/47.30 (assume @p3795 (forall @t67 (=> @t703 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t70 @t48) @t4955) (tptp.hAPP (tptp.hAPP @t4857 @t48) @t51)))))) % 47.09/47.30 (assume @p3796 (forall @t170 (=> @t703 (=> @t928 (=> @t329 (= @t1140 @t4955)))))) % 47.09/47.30 (assume @p3797 (forall @t67 (=> @t703 (=> @t928 (= (tptp.hAPP (tptp.hAPP @t975 @t48) @t4954) (tptp.hAPP (tptp.hAPP @t4861 @t48) @t51)))))) % 47.09/47.30 (assume @p3798 (forall @t170 (=> @t703 (=> @t928 (=> @t329 (= @t1138 @t4954)))))) % 47.09/47.30 (assume @p3799 (forall (@list @t1374 @t48 @t51 @t184 @t161 @t2 @t71 @t15) (=> @t914 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3928 @t3) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2519) @t161)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3928 @t1374) @t51)) @t5007))))) % 47.09/47.30 (assume @p3800 (forall (@list @t469 @t161 @t15) (=> (tptp.hBOOL (tptp.hAPP @t1093 @t161)) (=> (tptp.hBOOL (tptp.hAPP @t927 @t4959)) (=> (forall (@list @t5010) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t5010) @t161)) (= (tptp.hAPP @t1207 @t5010) @t469))) (=> (forall (@list @t5009) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t5009) @t161)) (forall (@list @t5008) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t5008) @t161)) (=> (not (= @t5009 @t5008)) (= (tptp.hAPP (tptp.hAPP @t962 @t5009) @t5008) @t289)))))) (= (tptp.hAPP @t1630 (tptp.hAPP @t3044 @t161)) (tptp.hAPP @t1207 @t4959)))))))) % 47.09/47.30 (assume @p3801 (forall @t2958 (= @t5012 (tptp.hAPP (tptp.hAPP @t4974 @t386) @t5011)))) % 47.09/47.30 (assume @p3802 (forall @t2958 (= @t5013 (tptp.hAPP (tptp.hAPP @t4984 @t386) @t5011)))) % 47.09/47.30 (assume @p3803 (forall @t170 (=> @t4996 (=> (forall (@list @t5014) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t5014) @t51)) (tptp.hBOOL (tptp.hAPP @t927 @t5014)))) @t4997)))) % 47.09/47.30 (assume @p3804 (forall (@list @t1062 @t47 @t15) (=> (not (tptp.hBOOL (tptp.hAPP @t621 @t1062))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4957 @t5015)) (forall @t426 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t422) @t5015)) (=> @t1016 (= (tptp.hAPP @t4982 @t422) @t289)))))) (= (tptp.hAPP (tptp.hAPP @t962 @t47) (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t1062)) @t289))))) % 47.09/47.30 (assume @p3805 (forall (@list @t2 @t71 @t15 @t386) (=> (not (= @t386 @t551)) (=> (forall @t4700 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t1164) @t386)) (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t1164))) (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t5012))))) % 47.09/47.30 (assume @p3806 (forall @t67 (=> (forall @t5018 (=> (tptp.hBOOL (tptp.hAPP @t5017 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5016) @t48)))) (=> (not (= @t51 @t551)) @t4993)))) % 47.09/47.30 (assume @p3807 (forall (@list @t51 @t2 @t184 @t71 @t15 @t2607) (=> (not (= @t2607 @t289)) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t951 @t2607)) (tptp.c_Fun_Oinj__on @t71 @t184 @t2 (tptp.hAPP @t51 @t948)))) (tptp.c_Fun_Oinj__on @t71 @t184 @t2 @t4909))))) % 47.09/47.30 (assume @p3808 (forall (@list @t3462 @t51 @t47 @t202 @t2 @t71 @t15) (=> @t4887 (=> (tptp.hBOOL (tptp.hAPP @t1946 @t3462)) (=> @t357 (not (forall @t2461 (=> (= @t3462 (tptp.hAPP @t69 @t783)) (not (tptp.hBOOL (tptp.hAPP @t1904 @t783))))))))))) % 47.09/47.30 (assume @p3809 (forall @t5019 (=> @t720 (=> @t928 (=> @t4980 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP (tptp.hAPP @t4853 @t281) @t51)) (tptp.hAPP (tptp.hAPP @t2771 @t294) @t281)))))))) % 47.09/47.30 (assume @p3810 (forall @t5019 (=> @t720 (=> @t928 (=> @t4981 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2736 @t281)) (tptp.hAPP (tptp.hAPP @t4864 @t281) @t51)))))))) % 47.09/47.30 (assume @p3811 (forall @t4983 (=> (forall @t5018 (=> @t5021 @t5020)) @t4964))) % 47.09/47.30 (assume @p3812 (forall @t5019 (=> @t1000 (=> @t928 (=> @t4981 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP (tptp.hAPP @t975 @t294) @t281)) (tptp.hAPP (tptp.hAPP @t4861 @t281) @t51)))))))) % 47.09/47.30 (assume @p3813 (forall @t5019 (=> @t208 (=> @t928 (=> @t4980 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP (tptp.hAPP @t4857 @t281) @t51)) (tptp.hAPP (tptp.hAPP @t70 @t294) @t281)))))))) % 47.09/47.30 (assume @p3814 (forall @t155 (=> @t3167 (= @t112 @t3345)))) % 47.09/47.30 (assume @p3815 (forall @t3406 (= @t4411 (forall (@list @t5022) (=> (exists @t7 @t5024) (exists @t7 (and @t5024 (forall @t2461 (=> @t5023 (not (tptp.hBOOL (tptp.hAPP @t3433 @t5022)))))))))))) % 47.09/47.30 (assume @p3816 (forall @t1127 (=> @t5025 (=> @t1089 (=> @t1094 @t1126))))) % 47.09/47.30 (assume @p3817 (forall (@list @t47 @t1062 @t1 @t202 @t2 @t71 @t15) (=> @t5025 @t1200))) % 47.09/47.30 (assume @p3818 (forall @t1108 (=> @t5025 (=> @t1089 (=> @t313 (= @t1131 @t1099)))))) % 47.09/47.30 (assume @p3819 (forall @t1108 (=> @t5025 (=> @t1089 @t1132)))) % 47.09/47.30 (assume @p3820 (forall @t1127 (=> @t5025 (=> @t1089 (=> (tptp.hBOOL (tptp.hAPP @t1095 @t51)) @t1197))))) % 47.09/47.30 (assume @p3821 (forall (@list @t444 @t35) (=> (forall @t7 (=> @t2156 (= @t172 (tptp.hBOOL (tptp.hAPP @t444 @t3))))) (= @t2473 (tptp.hAPP @t2472 (tptp.hAPP @t2471 @t444)))))) % 47.09/47.30 (assume @p3822 (forall (@list @t34 @t35 @t48 @t51 @t15) (=> @t66 (=> (forall @t7 (=> @t176 (=> @t172 (tptp.hBOOL @t2204)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t2408) (tptp.hAPP @t976 @t2395))))))) % 47.09/47.30 (assume @p3823 (forall @t2670 (=> @t4961 (not (forall @t5018 (=> @t5020 (not @t5021))))))) % 47.09/47.30 (assume @p3824 (forall (@list @t543 @t1667 @t184 @t5026 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 @t5026) @t4367)) (not (forall (@list @t3 @t783 @t2441) (=> (= @t5026 @t4842) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4360 (tptp.hAPP (tptp.hAPP @t4040 @t3) @t783)) @t1667)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4355 (tptp.hAPP (tptp.hAPP @t4272 @t783) @t2441)) @t543)))))))))) % 47.09/47.30 (assume @p3825 (forall (@list @t1667 @t5027 @t71 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3850 @t5027) @t4794)) (not (forall @t787 (=> (= @t5027 (tptp.hAPP (tptp.hAPP @t3849 @t783) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3876 (tptp.hAPP @t3875 @t783)) @t1667))))))))) % 47.09/47.30 (assume @p3826 (forall @t5034 (= (tptp.c_Nitpick_Oplus__frac @t15 @t3294 @t1667) (tptp.hAPP (tptp.hAPP @t3702 (tptp.c_Nitpick_Oint__lcm @t5033 @t5029)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3801 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t15)) (tptp.hAPP (tptp.hAPP @t3601 (tptp.hAPP @t3837 (tptp.hAPP (tptp.hAPP @t5032 (tptp.hAPP @t1891 (tptp.hAPP @t5031 @t3294))) (tptp.hAPP @t5030 @t5033)))) (tptp.hAPP (tptp.hAPP @t5032 (tptp.hAPP @t1891 (tptp.hAPP @t5031 @t1667))) (tptp.hAPP @t5030 @t5029))))) @t3598))))) % 47.09/47.30 (assume @p3827 (forall (@list @t1718 @t2100 @t76) (= (tptp.c_Nitpick_Otimes__frac @t76 @t2100 @t1718) (tptp.hAPP (tptp.hAPP @t4471 (tptp.hAPP (tptp.hAPP @t1891 @t5038) (tptp.hAPP @t5037 @t1718))) (tptp.hAPP (tptp.hAPP @t1891 @t5036) (tptp.hAPP @t5035 @t1718)))))) % 47.09/47.30 (assume @p3828 (forall (@list @t2100 @t76 @t15) (=> (and (tptp.class_Rings_Oinverse @t15) @t1517) (= (tptp.c_Nitpick_Oof__frac @t76 @t15 @t2100) (tptp.hAPP (tptp.hAPP @t3007 (tptp.hAPP @t3264 @t5038)) (tptp.hAPP @t3264 @t5036)))))) % 47.09/47.30 (assume @p3829 (forall @t5039 (= (tptp.c_Nitpick_Oinverse__frac @t76 @t2100) (tptp.hAPP (tptp.hAPP @t4471 @t5036) @t5038)))) % 47.09/47.30 (assume @p3830 (forall @t5039 (= (tptp.c_Nitpick_Ouminus__frac @t76 @t2100) (tptp.c_Nitpick_OAbs__Frac @t76 (tptp.hAPP (tptp.hAPP @t3843 (tptp.hAPP @t2970 @t5038)) @t5036))))) % 47.09/47.30 (assume @p3831 (forall @t5034 (= (tptp.c_Nitpick_Oless__frac @t15 @t3294 @t1667) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t5040) @t1870))))) % 47.09/47.30 (assume @p3832 (forall @t5034 (= (tptp.c_Nitpick_Oless__eq__frac @t15 @t3294 @t1667) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t5040) @t1870))))) % 47.09/47.30 (assume @p3833 (forall @t594 (= @t5028 (tptp.hAPP (tptp.c_Fun_Ocomp @t3823 tptp.tc_Int_Oint @t15 @t4090) @t5041)))) % 47.09/47.30 (assume @p3834 (forall @t594 (= @t5031 (tptp.hAPP (tptp.c_Fun_Ocomp @t3823 tptp.tc_Int_Oint @t15 @t4121) @t5041)))) % 47.09/47.30 (assume @p3835 (forall @t1061 (=> @t5043 (=> (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t5042 @t5)))) (tptp.hBOOL (tptp.hAPP @t5042 @t2905)))))) % 47.09/47.30 (assume @p3836 (forall (@list @t184 @t71 @t15) (= (tptp.c_Product__Type_Ointernal__split @t15 @t71 @t184) @t3925))) % 47.09/47.30 (assume @p3837 (forall (@list @t294 @t290 @t281 @t15 @t184 @t71) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t71 @t184 @t15) @t281) @t3948) @t3950))) % 47.09/47.30 (assume @p3838 (forall @t1061 (=> @t5043 (=> (forall @t7 (=> @t176 @t1116)) (tptp.hBOOL (tptp.hAPP @t1112 @t2905)))))) % 47.09/47.30 (assume @p3839 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t520)) % 47.09/47.30 (assume @p3840 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t520)) % 47.09/47.30 (assume @p3841 (forall (@list @t1486 @t2) (=> (forall @t432 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t429) @t431))) (tptp.hBOOL (tptp.hAPP @t1479 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2369 (tptp.hAPP (tptp.hAPP @t4444 @t489) @t2)) @t1486))))))) % 47.09/47.30 (assume @p3842 (forall @t3406 (= @t4434 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5045 @t4435) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4435 tptp.c_Wellfounded_Oless__than @t4445)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4435 @t4435 @t5045) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4435 @t5045) @t4435) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4435)) @t5044)) (tptp.c_COMBI @t4435)))))) % 47.09/47.30 (assume @p3843 (forall @t5053 (=> (not (= @t5052 @t5051)) (not @t5048)))) % 47.09/47.30 (assume @p3844 (forall (@list @t260 @t1667 @t5054 @t5057 @t15) (=> (tptp.hBOOL (tptp.hAPP @t5062 @t4447)) (and (= @t5058 @t260) @t5056)))) % 47.09/47.30 (assume @p3845 (forall @t3406 (= @t4434 (tptp.hAPP @t5083 (tptp.hAPP @t5082 (tptp.hAPP (tptp.hAPP @t5081 (tptp.hAPP @t5080 (tptp.hAPP (tptp.hAPP @t5077 (tptp.hAPP @t5074 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5072 (tptp.hAPP @t5071 (tptp.hAPP (tptp.hAPP @t5067 @t816) @t5044))) @t5044)))) (tptp.hAPP (tptp.hAPP @t5081 (tptp.hAPP @t5080 (tptp.hAPP (tptp.hAPP @t5077 @t5075) @t5073))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t4450 @t5066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5064 (tptp.tc_fun @t4450 @t5066) @t4435) (tptp.c_COMBC @t4435 @t4450 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5065 @t5064 @t4435) (tptp.hAPP (tptp.c_COMBB @t4449 @t5063 @t4435) @t5061)) @t5059))) @t4445)))))))) % 47.09/47.30 (assume @p3846 (forall @t5085 (= (tptp.hAPP @t5084 (tptp.c_Enum_Osublists @t76 @t5047)) (tptp.hAPP @t3043 @t5052)))) % 47.09/47.30 (assume @p3847 (forall @t5090 (= (tptp.hAPP @t5044 @t5089) (tptp.hAPP @t1739 (tptp.hAPP @t2376 @t5088))))) % 47.09/47.30 (assume @p3848 (forall @t4448 (= (tptp.hAPP @t4446 @t261) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4450) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5097 @t5097) @t4449 (tptp.c_Product__Type_Omap__pair @t5097 @t4435 @t5097 @t4435 @t5096 @t5096)) (tptp.c_Wellfounded_Olex__prod @t15 @t4435 @t1667 @t4447))) (tptp.hAPP @t5083 (tptp.hAPP @t5082 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5066 @t5066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t517 @t5079 @t4435) @t5094) (tptp.hAPP @t5075 @t5093))) @t5093))))))) % 47.09/47.30 (assume @p3849 (forall @t4811 (= (tptp.hBOOL (tptp.hAPP @t5103 @t4445)) (and @t5104 @t5100)))) % 47.09/47.30 (assume @p3850 (forall (@list @t75 @t5046 @t5047 @t76) (=> (tptp.hBOOL (tptp.hAPP @t5108 @t5051)) (not (= @t5047 @t5107))))) % 47.09/47.30 (assume @p3851 (forall (@list @t1667 @t128 @t294 @t47 @t290 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5111) @t5109)) @t5101)) (or @t4178 (and @t295 @t5104))))) % 47.09/47.30 (assume @p3852 (forall (@list @t5112 @t3962 @t5113 @t290 @t15) (= (= @t5114 (tptp.hAPP (tptp.hAPP @t5095 @t3962) @t5112)) (and @t3963 (= @t5113 @t5112))))) % 47.09/47.30 (assume @p3853 (forall @t5116 (not (= @t5115 @t5047)))) % 47.09/47.30 (assume @p3854 (forall @t5117 (not (= @t5047 @t5115)))) % 47.09/47.30 (assume @p3855 (forall (@list @t5118 @t112 @t76) (= (tptp.hAPP @t5050 (tptp.hAPP @t5119 @t5118)) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t5050 @t5118)) @t904)))) % 47.09/47.30 (assume @p3856 (forall @t5127 (= (tptp.hBOOL (tptp.hAPP @t5126 @t4445)) (or (and @t4188 @t5120) (and @t129 (tptp.hBOOL (tptp.hAPP @t5062 @t4445))))))) % 47.09/47.30 (assume @p3857 (forall (@list @t4289 @t51 @t15) (= (tptp.c_List_Oset__Cons @t15 @t51 @t4289) (tptp.hAPP @t5136 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t54 tptp.tc_HOL_Obool @t4435) @t2452) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5132 @t54 @t4435) (tptp.hAPP (tptp.c_COMBB @t5066 tptp.tc_HOL_Obool @t15) (tptp.c_HOL_OEx @t4435))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5132 @t5132) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5135 (tptp.tc_fun @t5132 @t5132) @t4435) (tptp.c_COMBS @t15 @t5066 @t5066)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5134 @t5135 @t4435) (tptp.hAPP (tptp.c_COMBB @t5076 @t5079 @t15) @t5078)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5132 @t5134 @t4435) (tptp.hAPP (tptp.c_COMBB @t5066 @t5076 @t15) @t5075)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5133 @t5132) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5131 (tptp.tc_fun @t5133 @t5132) @t4435) (tptp.c_COMBB @t5130 @t5066 @t15)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5066 @t5131 @t4435) (tptp.c_COMBB @t4435 tptp.tc_HOL_Obool @t4435)) tptp.c_fequal))) @t5095))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t5066 @t5066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t517 @t5079 @t15) @t5094) @t809)) (tptp.hAPP @t5129 @t4289))))))))) % 47.09/47.30 (assume @p3858 (forall (@list @t5047 @t75 @t76 @t559) (and (=> @t5139 (= @t5138 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t76) @t75))) (=> (not @t5139) (= @t5138 (tptp.hAPP (tptp.c_Random_Opick @t76 @t5047) (tptp.hAPP @t3834 @t5137))))))) % 47.09/47.30 (assume @p3859 (forall @t5143 (= (tptp.c_Random_Oselect__weight @t15 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5142) (tptp.hAPP (tptp.hAPP @t5141 @t3794) @t47)) @t5057)) @t5140))) % 47.09/47.30 (assume @p3860 (forall @t5147 (=> @t4770 (=> @t5146 (tptp.hBOOL (tptp.hAPP @t5126 @t5145)))))) % 47.09/47.30 (assume @p3861 (forall (@list @t5057 @t1667 @t47 @t15) (=> @t4351 (=> @t5151 (tptp.hBOOL (tptp.hAPP @t5149 @t5148)))))) % 47.09/47.30 (assume @p3862 (forall @t3406 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5152 (tptp.c_List_Olistrel1 @t15 @t4740)) @t5145)))) % 47.09/47.30 (assume @p3863 (forall @t4317 (=> @t4316 (tptp.hBOOL (tptp.hAPP @t5153 (tptp.c_List_Olistrel1 @t15 @t543)))))) % 47.09/47.30 (assume @p3864 (forall @t3406 (= @t5155 @t5154))) % 47.09/47.30 (assume @p3865 (forall @t5157 (=> @t5146 (tptp.hBOOL (tptp.hAPP @t5156 @t5145))))) % 47.09/47.30 (assume @p3866 (forall @t5157 (=> @t5158 (tptp.hBOOL (tptp.hAPP @t5156 @t5144))))) % 47.09/47.30 (assume @p3867 (forall @t5159 (=> @t5158 @t5120))) % 47.09/47.30 (assume @p3868 (forall @t4811 (=> (tptp.hBOOL (tptp.hAPP @t5103 @t5145)) @t5100))) % 47.09/47.30 (assume @p3869 (forall @t4811 (= (tptp.hBOOL (tptp.hAPP @t5103 @t5155)) (tptp.hBOOL (tptp.hAPP @t5103 @t5154))))) % 47.09/47.30 (assume @p3870 (forall @t5127 (= (tptp.hBOOL (tptp.hAPP @t5126 @t5144)) (or (and @t4188 @t5160) (and @t129 @t5158))))) % 47.09/47.30 (assume @p3871 (forall (@list @t5057 @t1667 @t128 @t47 @t15) (=> @t4188 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5125 (tptp.hAPP @t5121 @t5057))) @t5144))))) % 47.09/47.30 (assume @p3872 (forall (@list @t5113 @t290 @t623 @t15) (= (tptp.c_List_Olist_Olist__size @t15 @t623 @t5114) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t5161 (tptp.c_List_Olist_Olist__size @t15 @t623 @t5113))) @t904)))) % 47.09/47.30 (assume @p3873 (forall (@list @t5057 @t47 @t1667 @t15) (= (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5163 @t5124) @t5162)) (tptp.c_List_Oset__Cons @t15 @t3409 (tptp.hAPP @t5165 (tptp.hAPP (tptp.hAPP @t5163 @t5057) @t5162)))))) % 47.09/47.30 (assume @p3874 (forall @t5167 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5060 @t5057)) @t5166)))) % 47.09/47.30 (assume @p3875 (forall @t4317 (=> @t4316 (tptp.hBOOL (tptp.hAPP @t5168 (tptp.c_List_Olistrel @t15 @t543)))))) % 47.09/47.30 (assume @p3876 (forall @t3406 (tptp.hBOOL (tptp.hAPP @t5168 @t5145)))) % 47.09/47.30 (assume @p3877 (forall @t5159 (=> @t5169 @t5120))) % 47.09/47.30 (assume @p3878 (forall (@list @t5170 @t1667 @t5054 @t5057 @t15) (=> @t5172 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5171 @t5170)) @t5166)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5060 @t5170)) @t5166)))))) % 47.09/47.30 (assume @p3879 (forall @t3406 (= @t5166 @t5145))) % 47.09/47.30 (assume @p3880 (forall @t5159 (=> @t5158 @t5172))) % 47.09/47.30 (assume @p3881 (forall @t4422 (=> (tptp.hBOOL (tptp.hAPP @t4315 @t3425)) (=> (tptp.c_Relation_Orefl__on @t15 @t2496 @t3425) (tptp.hBOOL (tptp.hAPP @t5153 (tptp.c_List_Olistrel @t15 @t3425))))))) % 47.09/47.30 (assume @p3882 (forall @t5159 (=> @t5169 @t5146))) % 47.09/47.30 (assume @p3883 (forall @t5147 (=> @t4188 (=> @t5169 (tptp.hBOOL (tptp.hAPP @t5126 @t5164)))))) % 47.09/47.30 (assume @p3884 (forall (@list @t4329 @t47 @t1667 @t15) (= (tptp.c_List_Olistrelp @t15 @t4352 @t47 @t4329) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5102 @t4329)) @t5164))))) % 47.09/47.30 (assume @p3885 (forall (@list @t1667 @t5057 @t5054 @t128 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5122) @t5057)) @t5164)) (not (forall (@list @t783 @t5173) (=> (= @t5057 (tptp.hAPP @t5174 @t5173)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4215 @t783)) @t1667)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5171 @t5173)) @t5164)))))))))) % 47.09/47.30 (assume @p3886 (forall (@list @t5054 @t5057 @t15 @t128 @t47 @t1667) (=> @t5175 (=> (tptp.c_List_Olistrelp @t15 @t1667 @t5057 @t5054) (tptp.c_List_Olistrelp @t15 @t1667 @t5124 @t5122))))) % 47.09/47.30 (assume @p3887 (forall (@list @t474 @t277 @t276 @t278 @t1667 @t15) (= (tptp.c_List_Olistrelp @t15 @t1667 (tptp.hAPP @t5178 @t276) (tptp.hAPP @t5177 @t474)) (and @t5176 (tptp.c_List_Olistrelp @t15 @t1667 @t276 @t474))))) % 47.09/47.30 (assume @p3888 (forall (@list @t1667 @t5054 @t128 @t5057 @t15) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5060 @t5122)) @t5164)) (not (forall (@list @t3 @t5179) (=> (= @t5057 @t5181) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t128)) @t1667)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5179) @t5054)) @t5164)))))))))) % 47.09/47.30 (assume @p3889 (forall @t4605 (=> @t4534 (tptp.hBOOL (tptp.hAPP @t5168 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4435 @t4435) @t5182) (tptp.hAPP (tptp.c_COMBK @t5066 @t4435) @t5182))))))) % 47.09/47.30 (assume @p3890 (forall @t594 (= (tptp.c_List_Olists @t15 @t2496) @t5183))) % 47.09/47.30 (assume @p3891 (forall @t67 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5185 @t5182) @t5184))))) % 47.09/47.30 (assume @p3892 (forall @t3405 (=> @t4181 (tptp.c_Equiv__Relations_Oequiv @t4435 @t5182 @t5164)))) % 47.09/47.30 (assume @p3893 (forall @t3405 (=> @t4598 (tptp.c_Relation_Orefl__on @t4435 @t5182 @t5164)))) % 47.09/47.30 (assume @p3894 (forall (@list @t51 @t5057 @t47 @t15) (= (tptp.hBOOL (tptp.hAPP @t5149 @t5182)) (and @t331 @t5186)))) % 47.09/47.30 (assume @p3895 (forall @t5167 (=> @t5187 @t5151))) % 47.09/47.30 (assume @p3896 (forall @t5167 (=> @t5151 @t5187))) % 47.09/47.30 (assume @p3897 (forall @t5159 (= @t5169 (and @t5120 (forall @t432 (=> @t5194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t5192 (tptp.hAPP @t5189 @t429))) @t1667)))))))) % 47.09/47.30 (assume @p3898 (forall @t4747 (=> (forall @t3960 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t5196 @t1111)) @t1667)) (= @t935 @t1111) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 @t1111) @t935)) @t1667)))) (or @t5104 @t129 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5195 @t47)) @t5101)))))) % 47.09/47.30 (assume @p3899 (forall (@list @t369 @t5047 @t75 @t76) (= (tptp.hAPP @t5200 @t370) @t5199))) % 47.09/47.30 (assume @p3900 (forall @t5116 (= (tptp.hAPP @t5200 @t520) @t75))) % 47.09/47.30 (assume @p3901 (forall @t5203 (= @t5160 (and @t5120 (forall @t952 (=> @t5202 (= @t5201 (tptp.hAPP @t5189 @t948)))))))) % 47.09/47.30 (assume @p3902 (forall @t594 (not (tptp.hBOOL (tptp.hAPP @t5204 @t5183))))) % 47.09/47.30 (assume @p3903 (forall (@list @t260 @t5057 @t47 @t15) (= (tptp.hAPP (tptp.hAPP @t5188 @t5124) @t260) (tptp.c_Nat_Onat_Onat__case @t15 @t47 @t5190 @t260)))) % 47.09/47.30 (assume @p3904 (forall @t5206 (and (=> @t853 (= @t5205 @t75)) (=> @t854 (= @t5205 (tptp.hAPP @t5198 @t1481)))))) % 47.09/47.30 (assume @p3905 (forall @t5209 (and (=> @t3603 (= @t5207 @t75)) (=> @t5208 (= @t5207 (tptp.hAPP @t5198 @t3437)))))) % 47.09/47.30 (assume @p3906 (forall @t4811 (= @t5104 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5099) @t5098)) (= (tptp.hAPP (tptp.hAPP @t5210 @t5099) @t128) @t47)) (exists @t952 (and (tptp.hBOOL (tptp.hAPP @t2340 (tptp.hAPP (tptp.hAPP @t2719 @t5099) @t5098))) (= (tptp.hAPP @t5211 @t47) (tptp.hAPP @t5211 @t128)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP (tptp.hAPP @t4011 (tptp.hAPP (tptp.hAPP @t5188 @t47) @t948)) (tptp.hAPP (tptp.hAPP @t5188 @t128) @t948))) @t1667)))))))) % 47.09/47.30 (assume @p3907 (forall (@list @t128 @t1667 @t15) (=> @t4120 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5195 @t128)) @t5101)))))) % 47.09/47.30 (assume @p3908 (forall @t5216 (=> @t5215 (= @t5214 @t5047)))) % 47.09/47.30 (assume @p3909 (forall (@list @t5047 @t76 @t369 @t559) (=> @t5218 (= (tptp.hAPP (tptp.hAPP @t5197 @t5214) @t559) @t5217)))) % 47.09/47.30 (assume @p3910 (forall (@list @t260 @t1490 @t15) (= (tptp.c_List_Osublist @t15 @t1490 @t1824) (tptp.hAPP @t5219 @t1490)))) % 47.09/47.30 (assume @p3911 (forall @t5221 (= (tptp.hAPP @t5213 @t5220) (tptp.hAPP (tptp.hAPP @t5212 (tptp.hAPP @t2720 @t488)) @t5047)))) % 47.09/47.30 (assume @p3912 (forall @t5223 (= (tptp.hAPP @t5050 @t5214) (tptp.hAPP @t5222 @t369)))) % 47.09/47.30 (assume @p3913 (forall @t5225 (= (tptp.hAPP @t5224 @t5115) (tptp.hAPP @t5106 @t5214)))) % 47.09/47.30 (assume @p3914 (forall @t5232 (=> @t928 (tptp.hBOOL (tptp.hAPP @t5204 (tptp.hAPP @t5136 (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP @t5091 (tptp.hAPP (tptp.hAPP @t5067 @t489) @t5044)) @t260)))))))) % 47.09/47.30 (assume @p3915 (forall @t5090 (= @t5239 (tptp.hAPP @t2386 (tptp.hAPP @t5238 (tptp.hAPP @t5236 @t5088)))))) % 47.09/47.30 (assume @p3916 (forall @t5241 (tptp.hBOOL (tptp.hAPP @t927 @t5240)))) % 47.09/47.30 (assume @p3917 (forall @t5244 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5243) @t5240)))) % 47.09/47.30 (assume @p3918 (forall @t5246 (=> (tptp.hBOOL (tptp.hAPP @t323 @t5243)) @t5245))) % 47.09/47.30 (assume @p3919 (forall @t5143 (= @t5248 @t5247))) % 47.09/47.30 (assume @p3920 (forall (@list @t5057 @t47 @t128 @t15) (=> (tptp.hBOOL (tptp.hAPP @t360 @t5248)) (or @t353 @t5249)))) % 47.09/47.30 (assume @p3921 (forall @t5251 (=> @t5250 @t5245))) % 47.09/47.30 (assume @p3922 (forall @t5251 (=> @t5252 (not @t5250)))) % 47.09/47.30 (assume @p3923 (forall @t5241 (= (tptp.hAPP @t5255 (tptp.hAPP @t5254 @t5253)) (tptp.hAPP @t521 @t5240)))) % 47.09/47.30 (assume @p3924 (forall @t5257 (tptp.hBOOL (tptp.hAPP @t5256 @t5248)))) % 47.09/47.30 (assume @p3925 (forall @t5090 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5239) @t5240)))) % 47.09/47.30 (assume @p3926 (forall @t5241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5258) @t5058)))) % 47.09/47.30 (assume @p3927 (forall @t5265 (= @t5264 @t5262))) % 47.09/47.30 (assume @p3928 (forall (@list @t5057 @t15 @t260 @t496) (=> @t503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t5226 (tptp.hAPP (tptp.hAPP @t5210 @t496) @t5057))) @t5243))))) % 47.09/47.30 (assume @p3929 (forall @t5268 (=> @t5245 (=> (tptp.hBOOL (tptp.hAPP @t5267 @t69)) (tptp.hBOOL (tptp.hAPP @t5267 @t5266)))))) % 47.09/47.30 (assume @p3930 (forall @t5268 (=> @t5245 (=> (tptp.hBOOL (tptp.hAPP @t2001 @t69)) (tptp.hBOOL (tptp.hAPP @t2001 @t5266)))))) % 47.09/47.30 (assume @p3931 (forall @t5269 (= @t5186 (forall @t7 (=> @t5263 @t176))))) % 47.09/47.30 (assume @p3932 (forall @t5143 (=> @t5245 @t5270))) % 47.09/47.30 (assume @p3933 (forall (@list @t5057 @t15 @t260) (=> @t5272 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t5271) @t5240))))) % 47.09/47.30 (assume @p3934 (forall @t5143 (= @t5245 (exists @t952 (and @t5202 (= @t5201 @t47)))))) % 47.09/47.30 (assume @p3935 (forall @t170 (= @t5182 (tptp.hAPP @t5136 @t5230)))) % 47.09/47.30 (assume @p3936 (forall @t5241 (= @t5240 (tptp.hAPP @t2386 (tptp.hAPP @t5238 (tptp.hAPP @t5236 @t5086)))))) % 47.09/47.30 (assume @p3937 (forall @t5232 (=> @t928 (tptp.hBOOL (tptp.hAPP @t5204 (tptp.hAPP @t5136 (tptp.hAPP @t5231 @t5273))))))) % 47.09/47.30 (assume @p3938 (forall @t5159 (= @t5169 (and @t5120 (forall @t7 (=> @t5276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4160 @t4352) @t3)))))))) % 47.09/47.30 (assume @p3939 (forall @t5244 (= @t5278 (tptp.hAPP @t5136 (tptp.hAPP (tptp.hAPP @t5078 (tptp.hAPP @t5075 @t5273)) (tptp.hAPP @t5229 @t5240)))))) % 47.09/47.30 (assume @p3940 (forall (@list @t5046 @t5047 @t15 @t76) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5283)) @t5282) (tptp.hAPP @t5222 @t5279)))) % 47.09/47.30 (assume @p3941 (forall @t5284 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5283) @t369) @t5282) (tptp.hAPP (tptp.hAPP @t5280 @t5214) (tptp.hAPP (tptp.hAPP @t5210 @t369) @t5046))))) % 47.09/47.30 (assume @p3942 (forall (@list @t5046 @t95 @t5047 @t75 @t15 @t76) (= (tptp.hAPP (tptp.hAPP @t5280 @t5115) (tptp.hAPP (tptp.hAPP @t5095 @t95) @t5046)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5283) @t4130) @t5282)))) % 47.09/47.30 (assume @p3943 (forall @t5203 (= @t5160 (and @t5120 (forall @t7 (=> @t5276 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4160 tptp.c_fequal) @t3)))))))) % 47.09/47.30 (assume @p3944 (forall @t5294 (=> @t5293 (not (=> @t5245 (not @t5287)))))) % 47.09/47.30 (assume @p3945 (forall @t5294 (=> @t5293 @t5287))) % 47.09/47.30 (assume @p3946 (forall @t5294 (=> @t5293 @t5245))) % 47.09/47.30 (assume @p3947 (forall (@list @t5057 @t294 @t290 @t15) (= (tptp.hBOOL (tptp.hAPP @t4177 (tptp.hAPP @t5275 @t5296))) (and @t5295 @t295)))) % 47.09/47.30 (assume @p3948 (forall (@list @t5046 @t15 @t5047 @t76 @t559) (=> @t5297 (=> (tptp.hBOOL (tptp.hAPP @t873 @t5279)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5283) @t5282) @t559) (tptp.hAPP (tptp.hAPP @t3967 @t5217) (tptp.hAPP (tptp.hAPP @t5188 @t5046) @t559))))))) % 47.09/47.30 (assume @p3949 (forall (@list @t5057 @t260 @t5054 @t15) (=> (tptp.hBOOL (tptp.hAPP @t5298 @t5278)) @t5056))) % 47.09/47.30 (assume @p3950 (forall @t5223 (= (tptp.hAPP @t5084 @t5299) (tptp.hAPP (tptp.hAPP @t2999 @t5052) @t369)))) % 47.09/47.30 (assume @p3951 (forall @t5307 (= @t5292 (tptp.hAPP @t3831 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1866 tptp.tc_HOL_Obool @t2508) @t5237) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2508 @t1866 @t1866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5235 @t4147 @t2508) @t2375) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1866 @t5235 @t2508) @t2374) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2508 @t5306 @t1866) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2509 (tptp.tc_fun @t5306 @t1866) @t2508) (tptp.c_COMBB @t2508 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t71 @t2508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t3853 tptp.tc_Nat_Onat) @t3849) @t5190)) @t5305))))) (tptp.hAPP @t2370 @t5303))))))) % 47.09/47.30 (assume @p3952 (forall @t5307 (= (tptp.hAPP @t5291 @t5308) (tptp.hAPP (tptp.hAPP @t4489 @t5240) (tptp.hAPP @t2602 @t5286))))) % 47.09/47.30 (assume @p3953 (forall @t1600 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1144 @t1374) (tptp.hAPP @t5310 (tptp.c_List_Oupto @t2075 @t5309))))) % 47.09/47.30 (assume @p3954 (forall @t1600 (= @t2076 @t5312))) % 47.09/47.30 (assume @p3955 (forall @t1600 (= @t5312 @t2076))) % 47.09/47.30 (assume @p3956 (forall @t1600 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1144) @t1374) (tptp.hAPP @t5310 (tptp.c_List_Oupto @t1144 @t5309))))) % 47.09/47.30 (assume @p3957 (forall @t1600 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1144 @t1374) (tptp.hAPP @t5310 @t5313)))) % 47.09/47.30 (assume @p3958 (forall @t3751 (= (tptp.c_List_Onat__list @t1490) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5310 @t1490))))) % 47.09/47.30 (assume @p3959 (forall @t5241 (=> @t834 (= @t5315 (tptp.hAPP (tptp.hAPP @t1550 @t5190) (tptp.hAPP @t1858 @t5058)))))) % 47.09/47.30 (assume @p3960 (forall (@list @t5316) (= (= (tptp.hAPP @t5320 @t5316) @t520) @t5319))) % 47.09/47.30 (assume @p3961 (forall @t5116 (=> @t1259 (= (tptp.hAPP @t5321 @t5115) (tptp.hAPP @t2711 @t5322))))) % 47.09/47.30 (assume @p3962 (forall (@list @t5323 @t558) (=> @t5329 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5326) @t5324))))) % 47.09/47.30 (assume @p3963 (forall (@list @t1 @t2 @t5057 @t15) (=> (forall @t7 (=> @t5263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5266) (tptp.c_List_Olist_Olist__size @t15 @t1 @t5057)))))) % 47.09/47.30 (assume @p3964 (forall @t5332 (=> (tptp.hBOOL (tptp.hAPP @t553 @t5052)) (= (tptp.c_List_Obutlast @t76 @t5214) @t5331)))) % 47.09/47.30 (assume @p3965 (forall @t5143 (=> @t5334 @t5245))) % 47.09/47.30 (assume @p3966 (forall @t5332 (=> @t5336 (= (tptp.hAPP @t5213 @t5335) @t5214)))) % 47.09/47.30 (assume @p3967 (forall @t5085 (= (tptp.hAPP @t5050 @t5335) @t5338))) % 47.09/47.30 (assume @p3968 (forall @t5085 (= @t5335 (tptp.hAPP (tptp.hAPP @t5212 @t5338) @t5047)))) % 47.09/47.30 (assume @p3969 (forall (@list @t369 @t5323 @t558) (=> @t5329 (= (tptp.hAPP @t5320 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5323) @t558) @t369)) (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP (tptp.hAPP @t1274 @t5324) @t369)) @t5326))))) % 47.09/47.30 (assume @p3970 (forall (@list @t5046 @t5047 @t76 @t558) (=> (tptp.hBOOL (tptp.hAPP @t660 @t5052)) (=> (tptp.hBOOL (tptp.hAPP @t660 @t5051)) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t2340 @t558)) (= @t5341 (tptp.hAPP @t5340 @t948)))) (= (tptp.hAPP @t5339 @t5047) (tptp.hAPP @t5339 @t5046))))))) % 47.09/47.30 (assume @p3971 (forall @t5345 (=> (tptp.hBOOL (tptp.hAPP @t5108 @t559)) (= @t5344 @t5047)))) % 47.09/47.30 (assume @p3972 (forall (@list @t75 @t5047 @t76 @t561 @t559) @t5350)) % 47.09/47.30 (assume @p3973 (forall @t5351 (= (tptp.hAPP @t5343 @t5217) @t5047))) % 47.09/47.30 (assume @p3974 (forall @t5345 (= (tptp.hAPP @t5050 @t5344) @t5052))) % 47.09/47.30 (assume @p3975 (forall (@list @t95 @t559 @t5047 @t75 @t76) (= (tptp.hAPP (tptp.hAPP @t5353 @t870) @t95) (tptp.hAPP @t5106 @t5352)))) % 47.09/47.30 (assume @p3976 (forall (@list @t95 @t5047 @t75 @t76) (= (tptp.hAPP (tptp.hAPP @t5353 @t520) @t95) @t5355))) % 47.09/47.30 (assume @p3977 (forall (@list @t3462 @t1144 @t5057 @t47 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t15 @t5124) @t1144) @t3462) (tptp.c_Nat_Onat_Onat__case @t4435 (tptp.hAPP (tptp.hAPP @t5095 @t3462) @t5057) (tptp.hAPP @t5357 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t15 @t4435) @t5356) @t3462)) @t1144)))) % 47.09/47.30 (assume @p3978 (forall (@list @t95 @t75 @t559 @t5047 @t76) (= (tptp.hAPP (tptp.hAPP @t5358 @t559) @t95) @t5352))) % 47.09/47.30 (assume @p3979 (forall (@list @t5359 @t75 @t5047 @t76 @t5360 @t559) (=> (not (= @t559 @t5360)) (= (tptp.hAPP (tptp.hAPP @t5358 @t5360) @t5359) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t76 (tptp.hAPP (tptp.hAPP @t5342 @t5360) @t5359)) @t559) @t75))))) % 47.09/47.30 (assume @p3980 (forall (@list @t5361 @t559 @t5046 @t5047 @t15 @t76) (= (tptp.hAPP @t5363 @t5361) (tptp.hAPP (tptp.hAPP @t5280 (tptp.hAPP @t5343 (tptp.hAPP @t4125 @t5361))) (tptp.hAPP @t5362 (tptp.hAPP @t4123 @t5361)))))) % 47.09/47.30 (assume @p3981 (forall (@list @t95 @t5046 @t75 @t559 @t5047 @t15 @t76) (= (tptp.hAPP (tptp.hAPP @t5280 @t5344) (tptp.hAPP @t5362 @t95)) (tptp.hAPP @t5363 @t4130)))) % 47.09/47.30 (assume @p3982 (forall (@list @t1144 @t47 @t51 @t5057 @t15) (=> (tptp.hBOOL (tptp.hAPP @t5256 @t51)) (=> @t331 (tptp.hBOOL (tptp.hAPP @t5366 @t51)))))) % 47.09/47.30 (assume @p3983 (forall (@list @t47 @t1144 @t5057 @t15) (tptp.hBOOL (tptp.hAPP @t5366 @t5247)))) % 47.09/47.30 (assume @p3984 (forall (@list @t75 @t561 @t5047 @t76 @t559) (=> @t5297 (and (=> @t5349 (= @t5348 @t75)) @t5350)))) % 47.09/47.30 (assume @p3985 (forall (@list @t47 @t5057 @t15 @t1144) (=> @t5368 (= (= @t5365 @t5057) (= @t5367 @t47))))) % 47.09/47.30 (assume @p3986 (forall (@list @t75 @t5047 @t76 @t559) (=> @t5297 (= (tptp.hAPP @t5347 @t559) @t75)))) % 47.09/47.30 (assume @p3987 (forall (@list @t47 @t5057 @t15 @t260) (=> @t5272 (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 (tptp.hAPP (tptp.hAPP @t5356 @t260) @t47))))))) % 47.09/47.30 (assume @p3988 (forall (@list @t75 @t5047 @t76 @t558) (and (=> @t5372 (= @t5371 @t5335)) (=> @t5373 (= @t5371 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t76 @t5335) @t558) @t75)))))) % 47.09/47.30 (assume @p3989 (forall @t5159 (= @t5158 (exists (@list @t783 @t429) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t5192 @t783)) @t1667)) @t5194 (= @t5054 (tptp.hAPP (tptp.hAPP @t5356 @t429) @t783))))))) % 47.09/47.30 (assume @p3990 (forall (@list @t1144 @t290 @t5057 @t15) (=> @t5376 (=> (not (tptp.hBOOL (tptp.hAPP @t291 (tptp.hAPP @t5375 (tptp.hAPP (tptp.hAPP @t297 @t5367) @t289))))) (tptp.hBOOL (tptp.hAPP @t5374 (tptp.hAPP @t5364 @t290))))))) % 47.09/47.30 (assume @p3991 (forall @t5216 (=> @t5378 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5049) @t5299))))) % 47.09/47.30 (assume @p3992 (forall @t5380 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5379 @t5282))))) % 47.09/47.30 (assume @p3993 (forall (@list @t5047 @t15 @t5046 @t76) (=> (tptp.hBOOL (tptp.hAPP @t5377 @t5046)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t15 @t76)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t15 @t76) @t5047) @t5046)))))) % 47.09/47.30 (assume @p3994 (forall @t5090 (=> @t5376 (tptp.hBOOL (tptp.hAPP @t5374 @t5089))))) % 47.09/47.30 (assume @p3995 (forall @t5380 (=> @t5378 (=> (tptp.hBOOL (tptp.hAPP @t5374 @t5046)) (tptp.hBOOL (tptp.hAPP @t5379 (tptp.c_Enum_Oproduct @t76 @t15 @t5047 @t5046))))))) % 47.09/47.30 (assume @p3996 (forall @t1308 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5381)))) % 47.09/47.30 (assume @p3997 (forall @t5351 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5383))))) % 47.09/47.30 (assume @p3998 (forall @t5143 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5124)) @t5384))) % 47.09/47.30 (assume @p3999 (forall @t5241 (=> @t5385 @t5376))) % 47.09/47.30 (assume @p4000 (forall @t5241 (=> @t5376 @t5385))) % 47.09/47.30 (assume @p4001 (forall @t5241 (= @t5376 (forall @t952 (=> @t5202 (forall @t902 (=> @t5387 (=> (not (= @t948 @t900)) (not (= @t5201 @t5386)))))))))) % 47.09/47.30 (assume @p4002 (forall @t5390 (=> @t5376 (=> @t5368 (=> (tptp.hBOOL (tptp.hAPP @t5389 @t5058)) (= (= @t5367 @t5388) (= @t1144 @t1374))))))) % 47.09/47.30 (assume @p4003 (forall @t5241 (=> @t834 (=> @t5376 (= @t5315 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t15 @t15) @t237) @t5240)))))) % 47.09/47.30 (assume @p4004 (forall @t170 (and (=> @t928 (= @t5391 (tptp.hAPP @t5044 @t5392))) (=> @t1058 (= @t5391 @t520))))) % 47.09/47.30 (assume @p4005 (forall @t5257 (=> @t5376 (= @t5395 @t5393)))) % 47.09/47.30 (assume @p4006 (forall @t5397 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5396))))) % 47.09/47.30 (assume @p4007 (forall @t5143 (=> @t5252 (= @t5394 @t5057)))) % 47.09/47.30 (assume @p4008 (forall @t5398 (=> @t5252 (not (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 (tptp.c_List_Oremove1 @t15 @t128 @t5057)))))))) % 47.09/47.30 (assume @p4009 (forall (@list @t5057 @t15 @t294 @t290) (=> @t296 (= (tptp.hBOOL (tptp.hAPP @t291 (tptp.hAPP @t5226 (tptp.c_List_Oremove1 @t15 @t294 @t5057)))) @t5295)))) % 47.09/47.30 (assume @p4010 (forall @t5400 (and (=> @t107 (= @t5399 @t5047)) (=> @t727 (= @t5399 (tptp.hAPP @t5354 @t5396)))))) % 47.09/47.30 (assume @p4011 (forall @t5402 (= (tptp.c_List_Oremove1 @t76 @t75 (tptp.c_List_Oremove1 @t76 @t95 @t5401)) (tptp.c_List_Oremove1 @t76 @t95 (tptp.c_List_Oremove1 @t76 @t75 @t5401))))) % 47.09/47.30 (assume @p4012 (forall @t5143 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5395) @t5240)))) % 47.09/47.30 (assume @p4013 (forall @t5143 (and (=> @t5245 (= @t5403 (tptp.hAPP (tptp.hAPP @t643 @t5058) @t1449))) (=> @t5252 (= @t5403 @t5058))))) % 47.09/47.30 (assume @p4014 (forall @t385 (=> @t720 (=> @t928 (= @t5405 (tptp.c_List_Oremove1 @t15 @t47 @t5404)))))) % 47.09/47.30 (assume @p4015 (forall @t5209 (and (=> @t3603 (= @t5406 @t5407)) (=> @t5208 (= @t5406 (tptp.hAPP @t5106 (tptp.hAPP (tptp.hAPP @t5212 @t3437) @t5047))))))) % 47.09/47.30 (assume @p4016 (forall @t170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t5408) @t5182)))) % 47.09/47.30 (assume @p4017 (forall @t5167 (=> (tptp.hBOOL (tptp.hAPP @t5411 @t5164)) @t5409))) % 47.09/47.30 (assume @p4018 (forall @t5167 (=> (tptp.hBOOL (tptp.hAPP @t5412 @t5164)) @t5409))) % 47.09/47.30 (assume @p4019 (forall @t1458 (tptp.hBOOL (tptp.hAPP @t5377 @t5407)))) % 47.09/47.30 (assume @p4020 (forall @t5415 (=> @t5414 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5335)))))) % 47.09/47.30 (assume @p4021 (forall @t80 (= (tptp.c_List_Oremove1 @t76 @t75 @t5407) @t5407))) % 47.09/47.30 (assume @p4022 (forall @t5241 (= (tptp.c_List_Osublist @t15 @t5057 @t1867) @t5408))) % 47.09/47.30 (assume @p4023 (forall (@list @t5046 @t15 @t76) (= (tptp.hAPP (tptp.hAPP @t5280 @t5407) @t5046) @t5416))) % 47.09/47.30 (assume @p4024 (forall (@list @t5047 @t15 @t76) (= (tptp.hAPP @t5281 @t5408) @t5416))) % 47.09/47.30 (assume @p4025 (forall @t5417 (= (tptp.c_List_Olist_Olist__size @t15 @t623 @t5408) @t520))) % 47.09/47.30 (assume @p4026 (forall @t594 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t15 @t289) @t5408)))) % 47.09/47.30 (assume @p4027 (forall @t170 (= (tptp.c_List_Osublist @t15 @t5408 @t51) @t5408))) % 47.09/47.30 (assume @p4028 (forall @t3406 (tptp.c_List_Olistrelp @t15 @t1667 @t5408 @t5408))) % 47.09/47.30 (assume @p4029 (forall (@list @t5418 @t15 @t76) (= (tptp.c_Enum_Oproduct @t76 @t15 @t5407 @t5418) @t5416))) % 47.09/47.30 (assume @p4030 (forall @t1307 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t561) @t559)) @t5420))) % 47.09/47.30 (assume @p4031 (forall @t5423 (not (= @t5407 @t5422)))) % 47.09/47.30 (assume @p4032 (forall @t5423 (not (= @t5422 @t5407)))) % 47.09/47.30 (assume @p4033 (forall @t1458 (= (tptp.c_Enum_Osublists @t76 @t5407) @t5427))) % 47.09/47.30 (assume @p4034 (forall @t1923 (= (tptp.hAPP @t5213 @t5407) @t5407))) % 47.09/47.30 (assume @p4035 (forall @t5244 (= (= @t5242 @t5408) (or @t554 @t5409)))) % 47.09/47.30 (assume @p4036 (forall @t5085 (= (tptp.hAPP (tptp.hAPP @t5212 @t520) @t5047) @t5407))) % 47.09/47.30 (assume @p4037 (forall (@list @t76 @t369) (and (=> @t853 (= @t5428 @t5427)) (=> @t854 (= @t5428 @t5424))))) % 47.09/47.30 (assume @p4038 (forall @t5085 (= (tptp.c_Enum_On__lists @t76 @t520 @t5047) @t5427))) % 47.09/47.30 (assume @p4039 (forall @t594 (= (tptp.hAPP @t5226 @t5408) @t289))) % 47.09/47.30 (assume @p4040 (forall @t5241 (= (= @t289 @t5240) @t5409))) % 47.09/47.30 (assume @p4041 (forall @t5241 (= (= @t5240 @t289) @t5409))) % 47.09/47.30 (assume @p4042 (forall @t5117 (and (=> @t5413 (= @t5429 @t5407)) (=> @t5414 (= @t5429 (tptp.hAPP @t5106 @t5335)))))) % 47.09/47.30 (assume @p4043 (forall @t5241 (= (= @t5058 @t520) @t5409))) % 47.09/47.30 (assume @p4044 (forall @t1458 (= (tptp.hAPP @t5050 @t5407) @t520))) % 47.09/47.30 (assume @p4045 (forall @t1458 (= (tptp.c_List_Obutlast @t76 @t5407) @t5407))) % 47.09/47.30 (assume @p4046 (forall @t1458 (=> @t1259 (= (tptp.hAPP @t5321 @t5407) @t636)))) % 47.09/47.30 (assume @p4047 (forall (@list @t95 @t559 @t76) (= (tptp.hAPP @t5430 @t95) @t5407))) % 47.09/47.30 (assume @p4048 (forall (@list @t1790 @t559 @t76) (= (tptp.hAPP @t5430 @t1790) @t5407))) % 47.09/47.30 (assume @p4049 (forall (@list @t47 @t469 @t5057 @t15) (= (= (tptp.hAPP (tptp.hAPP @t5356 @t469) @t47) @t5408) @t5409))) % 47.09/47.30 (assume @p4050 (forall @t5241 (= @t5270 @t5431))) % 47.09/47.30 (assume @p4051 (forall @t5116 (= (tptp.hAPP (tptp.hAPP @t5212 @t1449) @t5115) @t5432))) % 47.09/47.30 (assume @p4052 (forall @t5167 (not (tptp.hBOOL (tptp.hAPP @t5412 @t5144))))) % 47.09/47.30 (assume @p4053 (forall @t5167 (not (tptp.hBOOL (tptp.hAPP @t5411 @t5144))))) % 47.09/47.30 (assume @p4054 (forall @t3406 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 @t5433) @t5164)))) % 47.09/47.30 (assume @p4055 (forall @t3411 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5102 @t5408)) @t5101))))) % 47.09/47.30 (assume @p4056 (forall (@list @t1667 @t5054 @t15) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5410 @t5054)) @t4445))))) % 47.09/47.30 (assume @p4057 (forall @t5167 (not (tptp.hBOOL (tptp.hAPP @t5412 @t4445))))) % 47.09/47.30 (assume @p4058 (forall @t5435 (= (tptp.hAPP @t5219 @t5124) (tptp.c_Nat_Onat_Onat__case @t4435 @t5408 (tptp.hAPP @t5357 (tptp.hAPP (tptp.hAPP @t5434 @t5210) @t5057)) @t260)))) % 47.09/47.30 (assume @p4059 (forall @t1308 (and (=> @t2057 (= @t5381 (tptp.hAPP (tptp.hAPP @t5437 @t559) (tptp.c_List_Oupto @t5436 @t561)))) (=> (not @t2057) @t5420)))) % 47.09/47.30 (assume @p4060 (forall (@list @t47 @t15 @t51) (and (=> @t5441 (= @t5439 @t5438)) (=> (not @t5441) (= @t5439 @t5408))))) % 47.09/47.30 (assume @p4061 (forall @t594 (= (tptp.c_List_Olists @t15 @t289) @t5442))) % 47.09/47.30 (assume @p4062 (forall @t5206 (and (=> @t853 (= @t5443 @t5407)) (=> @t854 (= @t5443 (tptp.hAPP @t5106 @t5331)))))) % 47.09/47.30 (assume @p4063 (forall @t494 (and (=> @t5446 (= @t5445 (tptp.hAPP (tptp.hAPP @t5437 @t5444) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t1878 @t5444) @t1877) @t3763)))) (=> (not @t5446) (= @t5445 @t5419))))) % 47.09/47.30 (assume @p4064 (forall @t3406 (= (tptp.hAPP @t5165 @t5442) @t5442))) % 47.09/47.30 (assume @p4065 (forall @t170 (= (tptp.c_List_Oset__Cons @t15 @t51 @t5442) (tptp.hAPP (tptp.c_Set_Oimage @t15 @t4435 @t5449) @t51)))) % 47.09/47.30 (assume @p4066 (forall @t1600 (=> (tptp.hBOOL (tptp.hAPP @t5451 (tptp.hAPP (tptp.hAPP @t3843 @t1144) @t1374))) (and (=> @t5450 (= @t5311 (tptp.hAPP (tptp.hAPP @t5437 @t1144) @t5313))) (=> (not @t5450) (= @t5311 @t5419)))))) % 47.09/47.30 (assume @p4067 (forall (@list @t543 @t15 @t5057) (=> @t5431 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 (tptp.hAPP @t5453 (tptp.hAPP @t5452 @t543))) @t5240))))) % 47.09/47.30 (assume @p4068 (forall @t594 (= (tptp.c_List_Olistset @t15 (tptp.c_List_Olist_ONil @t54)) @t5442))) % 47.09/47.30 (assume @p4069 (forall (@list @t5054 @t128 @t5057 @t71 @t15) (= (tptp.hAPP @t5289 @t5461) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5454 @t15 @t5458 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t5457 @t5457) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5456 (tptp.tc_fun @t5457 @t5457) @t15) (tptp.c_COMBB @t5454 @t5454 @t4435)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2508 @t5456 @t15) @t5455) (tptp.hAPP @t4529 @t128)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5300 @t5454) @t5288) @t5054))) @t5057)))) % 47.09/47.30 (assume @p4070 (forall (@list @t5113 @t290 @t771 @t81 @t71 @t15) (= (tptp.hAPP @t5463 (tptp.hAPP (tptp.hAPP @t5459 @t290) @t5113)) (tptp.hAPP @t5462 @t5113)))) % 47.09/47.30 (assume @p4071 (forall @t5465 (= (tptp.hAPP @t5463 @t5464) @t81))) % 47.09/47.30 (assume @p4072 (forall (@list @t5466 @t51 @t15) (= (tptp.c_List_Olistset @t15 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t54) @t51) @t5466)) (tptp.c_List_Oset__Cons @t15 @t51 (tptp.c_List_Olistset @t15 @t5466))))) % 47.09/47.30 (assume @p4073 (forall @t5468 (= (tptp.hAPP (tptp.hAPP @t5288 @t5124) @t5054) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5454 @t71 @t5458 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t5467 @t5467) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5456 (tptp.tc_fun @t5467 @t5467) @t71) (tptp.c_COMBB @t5454 @t5454 @t5300)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2508 @t5456 @t71) @t5455) @t3860))) @t5289)) @t5054)))) % 47.09/47.30 (assume @p4074 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t5451 @t4083)) (=> (forall @t3289 (=> (tptp.hBOOL (tptp.hAPP @t5451 (tptp.hAPP (tptp.hAPP @t3843 @t948) @t900))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1873 @t948) @t900)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t5469) @t900))) @t3298))) @t4077)))) % 47.09/47.30 (assume @p4075 (forall @t4739 (and (=> @t4737 (= @t5477 @t5476)) (=> @t4738 (= @t5477 (tptp.c_Option_Ooption_Ooption__case @t5472 @t2508 @t5476 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t71 @t5472) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t5473 @t5473) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5475 (tptp.tc_fun @t5473 @t5473) @t15) (tptp.c_COMBB @t5472 @t5472 @t71)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5474 @t5475 @t15) (tptp.c_Product__Type_Oprod_Oprod__case @t4435 @t71 @t5472)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5130 @t5474 @t15) (tptp.hAPP (tptp.c_COMBB @t4435 @t5473 @t4435) @t5471)) @t5095)))) (tptp.hAPP @t5470 @t4735))) @t69)))))) % 47.09/47.30 (assume @p4076 (forall (@list @t51 @t1490 @t47 @t15) (= (tptp.c_List_Osublist @t15 @t5479 @t51) (tptp.hAPP (tptp.hAPP @t5478 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4435) @t5440) @t5438) @t5408)) (tptp.c_List_Osublist @t15 @t1490 (tptp.hAPP @t2376 (tptp.hAPP @t2381 @t51))))))) % 47.09/47.30 (assume @p4077 (forall (@list @t1667 @t128 @t5054 @t47 @t5057 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5484) @t5482)) @t5144)) (or (and @t5158 @t129) (and @t5160 @t4188))))) % 47.09/47.30 (assume @p4078 (forall (@list @t5057 @t47 @t5170 @t5054 @t15) (= (= @t5490 @t5124) (or (and @t5489 (= @t5170 @t5124)) (exists @t5488 (and (= @t5054 @t5487) (= @t5486 @t5057))))))) % 47.09/47.30 (assume @p4079 (forall (@list @t5170 @t5054 @t5057 @t47 @t15) (= (= @t5124 @t5490) (or (and @t5489 (= @t5124 @t5170)) (exists @t5488 (and (= @t5487 @t5054) (= @t5057 @t5486))))))) % 47.09/47.30 (assume @p4080 (forall (@list @t128 @t5054 @t47 @t5057 @t15) (= (= @t5484 @t5482) (and @t5160 @t129)))) % 47.09/47.30 (assume @p4081 (forall @t5494 (= (tptp.hAPP (tptp.hAPP @t5491 @t5115) @t5046) (tptp.hAPP @t5106 @t5493)))) % 47.09/47.30 (assume @p4082 (forall (@list @t5401 @t5047 @t5046 @t5496 @t75 @t76) (=> (= (tptp.hAPP @t5106 @t5496) @t5046) (=> (= @t5047 (tptp.hAPP @t5497 @t5401)) (= @t5115 @t5495))))) % 47.09/47.30 (assume @p4083 (forall (@list @t51 @t5054 @t5057 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t5498) @t5182)) (and @t5186 (tptp.hBOOL (tptp.hAPP @t5298 @t5182)))))) % 47.09/47.30 (assume @p4084 (forall (@list @t5499 @t5046 @t5401 @t5496 @t5047 @t76) (=> (= (tptp.hAPP @t5492 @t5496) @t5401) (=> (= @t5046 (tptp.hAPP @t5497 @t5499)) (= @t5493 (tptp.hAPP (tptp.hAPP @t5491 @t5401) @t5499)))))) % 47.09/47.30 (assume @p4085 (forall (@list @t5170 @t5057 @t5054 @t15) (= (= (tptp.hAPP @t5481 @t5057) (tptp.hAPP @t5501 @t5057)) @t5500))) % 47.09/47.30 (assume @p4086 (forall @t5502 (= (= @t5498 (tptp.hAPP @t5483 @t5170)) @t5500))) % 47.09/47.30 (assume @p4087 (forall (@list @t18 @t5170 @t5054 @t5057 @t15) (= (= @t5498 (tptp.hAPP @t5501 @t18)) (exists (@list @t5503) (or (and (= @t5057 (tptp.hAPP @t5501 @t5503)) (= (tptp.hAPP @t5504 @t5054) @t18)) (and (= (tptp.hAPP @t5483 @t5503) @t5170) (= @t5054 (tptp.hAPP @t5504 @t18)))))))) % 47.09/47.30 (assume @p4088 (forall (@list @t5401 @t5046 @t5047 @t76) (= (tptp.hAPP (tptp.hAPP @t5491 @t5493) @t5401) (tptp.hAPP @t5492 @t5495)))) % 47.09/47.30 (assume @p4089 (forall @t5507 (= (tptp.hAPP @t5226 @t5498) @t5506))) % 47.09/47.30 (assume @p4090 (forall (@list @t5508 @t5046 @t5499 @t15 @t5047 @t76) (=> (= @t5052 (tptp.hAPP @t5044 @t5499)) (=> (= @t5051 (tptp.hAPP @t5044 @t5508)) (= (tptp.hAPP @t5511 (tptp.hAPP (tptp.hAPP @t5478 @t5499) @t5508)) (tptp.hAPP (tptp.hAPP @t5510 (tptp.hAPP @t5281 @t5499)) (tptp.hAPP @t5509 @t5508))))))) % 47.09/47.30 (assume @p4091 (forall @t5053 (= (tptp.hAPP @t5050 @t5493) @t5513))) % 47.09/47.30 (assume @p4092 (forall @t5053 (=> @t1259 (= (tptp.hAPP @t5321 @t5493) (tptp.hAPP (tptp.hAPP @t1213 @t5322) (tptp.hAPP @t5321 @t5046)))))) % 47.09/47.30 (assume @p4093 (forall @t5517 (and (=> @t5515 (= @t5514 @t5335)) (=> @t5516 (= @t5514 (tptp.hAPP @t5492 (tptp.c_List_Obutlast @t76 @t5046))))))) % 47.09/47.30 (assume @p4094 (forall @t5519 (= @t5518 @t5046))) % 47.09/47.30 (assume @p4095 (forall @t5507 (= (= @t5408 @t5498) @t5520))) % 47.09/47.30 (assume @p4096 (forall @t5085 (= (tptp.hAPP @t5492 @t5407) @t5047))) % 47.09/47.30 (assume @p4097 (forall (@list @t5054 @t15 @t5057) (= (= @t5057 @t5498) @t5489))) % 47.09/47.30 (assume @p4098 (forall (@list @t5057 @t15 @t5054) (= (= @t5054 @t5498) @t5409))) % 47.09/47.30 (assume @p4099 (forall @t5507 (= (= @t5498 @t5408) @t5520))) % 47.09/47.30 (assume @p4100 (forall @t5507 (= (= @t5498 @t5057) @t5489))) % 47.09/47.30 (assume @p4101 (forall @t5507 (= (= @t5498 @t5054) @t5409))) % 47.09/47.30 (assume @p4102 (forall (@list @t76 @t5046 @t5047) (=> @t5048 (= @t5047 @t5518)))) % 47.09/47.30 (assume @p4103 (forall (@list @t5046 @t75 @t5047 @t76) (= (tptp.hAPP (tptp.hAPP @t5197 @t5521) @t5052) @t75))) % 47.09/47.30 (assume @p4104 (forall (@list @t369 @t5046 @t5047 @t76) (= (tptp.hAPP @t5522 (tptp.hAPP @t5512 @t369)) (tptp.hAPP @t5340 @t369)))) % 47.09/47.30 (assume @p4105 (forall @t5525 (= (tptp.hAPP @t5213 @t5493) (tptp.hAPP @t5524 (tptp.hAPP (tptp.hAPP @t5212 @t5523) @t5046))))) % 47.09/47.30 (assume @p4106 (forall (@list @t75 @t5046 @t5047 @t76 @t559) (=> @t5297 (= (tptp.hAPP (tptp.hAPP @t5526 @t559) @t75) (tptp.hAPP (tptp.hAPP @t5491 @t5344) @t5046))))) % 47.09/47.30 (assume @p4107 (forall (@list @t95 @t5046 @t75 @t5047 @t76) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t76 @t5521) @t5052) @t95) (tptp.hAPP @t5492 @t5527)))) % 47.09/47.30 (assume @p4108 (forall @t5529 (and (=> @t5245 (= @t5528 (tptp.hAPP (tptp.hAPP @t5478 @t5394) @t5054))) (=> @t5252 (= @t5528 (tptp.hAPP @t5483 (tptp.c_List_Oremove1 @t15 @t47 @t5054))))))) % 47.09/47.30 (assume @p4109 (forall @t5529 (=> (or @t5334 (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 @t5530)))) (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 (tptp.c_List_Obutlast @t15 @t5498))))))) % 47.09/47.30 (assume @p4110 (forall @t5397 (= (tptp.c_List_Obutlast @t76 @t5531) @t5047))) % 47.09/47.30 (assume @p4111 (forall (@list @t5532 @t5533 @t1667 @t5054 @t5057 @t15) (=> (or (and @t5158 (= @t5533 @t5532)) (and @t5160 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5533) @t5532)) @t5144)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 @t5534) (tptp.hAPP @t5481 @t5532))) @t5144))))) % 47.09/47.30 (assume @p4112 (forall (@list @t47 @t1667 @t3462 @t1486 @t15) (=> @t5537 @t5536))) % 47.09/47.30 (assume @p4113 (forall @t5507 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5498)) (and @t5376 @t5538 (= (tptp.hAPP (tptp.hAPP @t962 @t5240) @t5505) @t289))))) % 47.09/47.30 (assume @p4114 (forall (@list @t5046 @t5047 @t76 @t369) (and (=> @t5336 (= @t5539 @t5199)) (=> @t5540 (= @t5539 (tptp.hAPP @t5340 @t5523)))))) % 47.09/47.30 (assume @p4115 (forall (@list @t75 @t5046 @t5047 @t76 @t369) (and (=> @t5336 (= @t5541 (tptp.hAPP (tptp.hAPP @t5491 (tptp.hAPP (tptp.hAPP @t5342 @t369) @t75)) @t5046))) (=> @t5540 (= @t5541 (tptp.hAPP @t5492 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t76 @t5046) @t5523) @t75))))))) % 47.09/47.30 (assume @p4116 (forall (@list @t51 @t5542 @t1490 @t15) (= (tptp.c_List_Osublist @t15 (tptp.hAPP (tptp.hAPP @t5478 @t1490) @t5542) @t51) (tptp.hAPP (tptp.hAPP @t5478 (tptp.c_List_Osublist @t15 @t1490 @t51)) (tptp.c_List_Osublist @t15 @t5542 (tptp.hAPP @t2376 (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t2380 (tptp.hAPP @t1394 (tptp.hAPP @t5044 @t1490)))) @t51))))))) % 47.09/47.30 (assume @p4117 (forall (@list @t5054 @t5532 @t5533 @t5057 @t1667 @t128 @t47 @t15) (=> @t4188 (=> (= @t5057 (tptp.hAPP @t5543 (tptp.hAPP @t5123 @t5532))) (=> (= @t5054 (tptp.hAPP @t5543 (tptp.hAPP @t5121 @t5532))) @t5158))))) % 47.09/47.30 (assume @p4118 (forall (@list @t128 @t47 @t1486 @t1667 @t294 @t290 @t15) (=> @t4178 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP (tptp.hAPP @t5059 (tptp.hAPP @t5544 @t5111)) (tptp.hAPP @t5544 @t5109))) @t5101))))) % 47.09/47.30 (assume @p4119 (forall @t5547 (=> @t5297 (= (tptp.hAPP (tptp.hAPP @t5212 @t870) @t5047) (tptp.hAPP @t5546 (tptp.hAPP @t5545 @t5407)))))) % 47.09/47.30 (assume @p4120 (forall @t5159 (=> @t5158 (not (forall @t787 (=> @t4219 (forall @t5549 (=> (= @t5057 (tptp.hAPP @t5504 (tptp.hAPP @t5180 @t5548))) (not (= @t5054 (tptp.hAPP @t5504 (tptp.hAPP @t5174 @t5548)))))))))))) % 47.09/47.30 (assume @p4121 (forall (@list @t1667 @t3462 @t1486 @t47 @t15) (=> @t5536 (=> (forall @t938 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t5196 @t935)) @t1667)))) @t5537)))) % 47.09/47.30 (assume @p4122 (forall @t5241 (= @t5553 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4435 @t15 @t5408 (tptp.hAPP (tptp.hAPP @t5551 @t5550) @t5449)) @t5057)))) % 47.09/47.30 (assume @p4123 (forall (@list @t112 @t5047 @t76 @t559) (=> @t5297 (= (tptp.hAPP @t5343 @t112) (tptp.hAPP @t5546 (tptp.hAPP @t5119 @t5555)))))) % 47.09/47.30 (assume @p4124 (forall @t5223 (= (tptp.hAPP @t5524 @t5557) @t5047))) % 47.09/47.30 (assume @p4125 (forall @t5225 (= (tptp.hAPP @t5558 @t5115) @t5557))) % 47.09/47.30 (assume @p4126 (forall @t5116 (= (tptp.hAPP (tptp.hAPP @t5554 @t1449) @t5115) @t5047))) % 47.09/47.30 (assume @p4127 (forall (@list @t5046 @t95 @t5047 @t369 @t76) (=> (= @t5557 @t5527) (= @t5199 @t95)))) % 47.09/47.30 (assume @p4128 (forall @t5351 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5560))))) % 47.09/47.30 (assume @p4129 (forall @t5241 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5553)) @t5376))) % 47.09/47.30 (assume @p4130 (forall @t5284 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5283) @t369) @t5282) (tptp.hAPP (tptp.hAPP @t5280 @t5557) (tptp.hAPP (tptp.hAPP @t5561 @t369) @t5046))))) % 47.09/47.30 (assume @p4131 (forall @t5221 (= (tptp.hAPP @t5556 @t5563) (tptp.hAPP (tptp.hAPP @t5554 @t1317) @t5047)))) % 47.09/47.30 (assume @p4132 (forall @t5085 (= (tptp.hAPP (tptp.hAPP @t5554 @t520) @t5047) @t5047))) % 47.09/47.30 (assume @p4133 (forall @t5221 (= (tptp.hAPP @t5213 @t5563) (tptp.hAPP @t5562 (tptp.hAPP (tptp.hAPP @t5212 @t1317) @t5047))))) % 47.09/47.30 (assume @p4134 (forall @t5221 (= (tptp.hAPP @t5556 @t5220) (tptp.hAPP (tptp.hAPP @t5212 @t647) @t5557)))) % 47.09/47.30 (assume @p4135 (forall @t5246 (=> (tptp.hBOOL (tptp.hAPP @t323 @t5566)) @t5245))) % 47.09/47.30 (assume @p4136 (forall @t5241 (= (tptp.hAPP @t5226 @t5553) @t5240))) % 47.09/47.30 (assume @p4137 (forall @t5244 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5566) @t5240)))) % 47.09/47.30 (assume @p4138 (forall @t5085 (= (tptp.hAPP @t5050 @t5568) @t5052))) % 47.09/47.30 (assume @p4139 (forall @t5223 (= (tptp.hAPP @t5050 @t5557) (tptp.hAPP @t5337 @t369)))) % 47.09/47.30 (assume @p4140 (forall @t5223 (= @t5570 @t5569))) % 47.09/47.30 (assume @p4141 (forall @t5223 (= @t5569 @t5570))) % 47.09/47.30 (assume @p4142 (forall @t1923 (= (tptp.hAPP @t5556 @t5407) @t5407))) % 47.09/47.30 (assume @p4143 (forall @t5241 (= (= @t5553 @t5408) @t5409))) % 47.09/47.30 (assume @p4144 (forall (@list @t5057 @t15 @t496 @t260) (=> @t498 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t5226 (tptp.hAPP (tptp.hAPP @t5561 @t496) @t5057))) @t5566))))) % 47.09/47.30 (assume @p4145 (forall @t5216 (=> @t5215 (= @t5557 @t5407)))) % 47.09/47.30 (assume @p4146 (forall @t5244 (= (= @t5565 @t5408) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5058) @t260))))) % 47.09/47.30 (assume @p4147 (forall @t5525 (= (tptp.hAPP @t5556 @t5493) (tptp.hAPP (tptp.hAPP @t5491 @t5557) (tptp.hAPP (tptp.hAPP @t5554 @t5523) @t5046))))) % 47.09/47.30 (assume @p4148 (forall @t5502 (= (= @t5498 @t5170) (and (= @t5057 (tptp.hAPP (tptp.hAPP @t5210 @t5058) @t5170)) (= @t5054 (tptp.hAPP (tptp.hAPP @t5561 @t5058) @t5170)))))) % 47.09/47.30 (assume @p4149 (forall @t5435 (= (tptp.hAPP @t5564 @t5124) (tptp.c_Nat_Onat_Onat__case @t4435 @t5124 (tptp.hAPP (tptp.hAPP @t5434 @t5561) @t5057) @t260)))) % 47.09/47.30 (assume @p4150 (forall @t5206 (and (=> @t853 (= @t5571 @t5115)) (=> @t854 (= @t5571 (tptp.hAPP (tptp.hAPP @t5554 @t1481) @t5047)))))) % 47.09/47.30 (assume @p4151 (forall (@list @t5047 @t76 @t559 @t369) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5572) @t5052)) (= (tptp.hAPP (tptp.hAPP @t5197 @t5557) @t559) (tptp.hAPP @t5198 @t5572))))) % 47.09/47.30 (assume @p4152 (forall (@list @t5573 @t5576 @t5574 @t5575 @t15) (= (= (tptp.hAPP (tptp.hAPP @t5478 @t5575) @t5574) (tptp.hAPP (tptp.hAPP @t5478 @t5576) @t5573)) (and (=> @t5579 (and (= @t5575 (tptp.hAPP (tptp.hAPP @t5210 @t5578) @t5576)) (= @t5574 (tptp.hAPP (tptp.hAPP @t5478 (tptp.hAPP (tptp.hAPP @t5561 @t5578) @t5576)) @t5573)))) (=> (not @t5579) (and (= (tptp.hAPP (tptp.hAPP @t5210 @t5577) @t5575) @t5576) (= (tptp.hAPP (tptp.hAPP @t5478 (tptp.hAPP (tptp.hAPP @t5561 @t5577) @t5575)) @t5574) @t5573))))))) % 47.09/47.30 (assume @p4153 (forall @t5547 (=> @t5297 (= @t5580 @t5560)))) % 47.09/47.30 (assume @p4154 (forall (@list @t5047 @t75 @t15 @t76) (and (= (tptp.hAPP @t5567 @t5407) @t5407) (= (tptp.hAPP @t5552 (tptp.hAPP @t5581 @t5047)) (tptp.hAPP (tptp.hAPP @t5478 @t5047) (tptp.hAPP @t5581 @t5408)))))) % 47.09/47.30 (assume @p4155 (forall @t5209 (and (=> @t3603 (= @t5582 @t5115)) (=> @t5208 (= @t5582 (tptp.hAPP (tptp.hAPP @t5554 @t3437) @t5047)))))) % 47.09/47.30 (assume @p4156 (forall (@list @t5047 @t76 @t561 @t559) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1288) @t5052)) (= (tptp.hAPP (tptp.hAPP @t5212 @t1288) @t5047) (tptp.hAPP @t5546 (tptp.hAPP (tptp.hAPP @t5212 @t561) @t5560)))))) % 47.09/47.30 (assume @p4157 (forall @t5085 (=> @t5583 (= @t5568 @t5047)))) % 47.09/47.30 (assume @p4158 (forall @t5584 (= (tptp.hAPP @t5281 (tptp.hAPP (tptp.hAPP @t5478 @t5046) @t5401)) (tptp.hAPP (tptp.hAPP @t5510 (tptp.hAPP (tptp.hAPP @t5280 (tptp.hAPP (tptp.hAPP @t5212 @t5279) @t5047)) @t5046)) (tptp.hAPP (tptp.hAPP @t5280 (tptp.hAPP (tptp.hAPP @t5554 @t5279) @t5047)) @t5401))))) % 47.09/47.30 (assume @p4159 (forall @t5584 (= (tptp.hAPP @t5511 @t5401) (tptp.hAPP (tptp.hAPP @t5510 (tptp.hAPP @t5281 (tptp.hAPP (tptp.hAPP @t5210 @t5052) @t5401))) (tptp.hAPP @t5509 (tptp.hAPP (tptp.hAPP @t5561 @t5052) @t5401)))))) % 47.09/47.30 (assume @p4160 (forall @t5547 (=> @t5297 (= @t5047 (tptp.hAPP @t5546 @t5580))))) % 47.09/47.30 (assume @p4161 (forall @t5332 (=> @t5336 (= (tptp.hAPP @t5524 (tptp.hAPP (tptp.hAPP @t5105 @t5587) @t5407)) @t5585)))) % 47.09/47.30 (assume @p4162 (forall @t5588 (=> @t5414 (=> @t5336 (= @t5587 @t5199))))) % 47.09/47.30 (assume @p4163 (forall @t5116 (= (tptp.hAPP @t5586 @t5115) @t75))) % 47.09/47.30 (assume @p4164 (forall @t5592 @t5591)) % 47.09/47.30 (assume @p4165 (forall @t5592 (and (=> @t5413 (= @t5590 (tptp.hAPP @t5586 @t5046))) @t5591))) % 47.09/47.30 (assume @p4166 (forall @t5595 (=> @t5431 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t5594) @t5240))))) % 47.09/47.30 (assume @p4167 (forall @t5415 (=> @t5414 (= @t5589 (tptp.hAPP @t5198 @t520))))) % 47.09/47.30 (assume @p4168 (forall @t5415 (=> @t5414 (= @t5568 (tptp.hAPP @t5599 (tptp.hAPP @t5596 @t5407)))))) % 47.09/47.30 (assume @p4169 (forall @t5588 (=> @t5414 (= (tptp.hAPP @t5586 @t5602) (tptp.hAPP @t5198 @t5600))))) % 47.09/47.30 (assume @p4170 (forall @t5223 (= @t5604 @t5603))) % 47.09/47.30 (assume @p4171 (forall @t5223 (= @t5603 @t5604))) % 47.09/47.30 (assume @p4172 (forall @t5116 (= (tptp.hAPP @t5597 @t5115) @t5047))) % 47.09/47.30 (assume @p4173 (forall @t5085 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5598))))) % 47.09/47.30 (assume @p4174 (forall @t5244 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5606)) @t5376))) % 47.09/47.30 (assume @p4175 (forall @t1865 (= (tptp.c_List_Orotate @t15 @t1278) (tptp.hAPP (tptp.c_Fun_Ocomp @t4435 @t4435 @t4435 (tptp.c_List_Orotate @t15 @t496)) @t5605)))) % 47.09/47.30 (assume @p4176 (forall (@list @t5047 @t369 @t488 @t76) (= (tptp.hAPP (tptp.c_List_Orotate @t76 @t488) @t5602) (tptp.hAPP (tptp.c_List_Orotate @t76 @t1276) @t5047)))) % 47.09/47.30 (assume @p4177 (forall @t594 (= (tptp.c_List_Orotate @t15 @t520) @t5607))) % 47.09/47.30 (assume @p4178 (forall @t5244 (= (tptp.hAPP @t5226 @t5606) @t5240))) % 47.09/47.30 (assume @p4179 (forall @t5223 (= (tptp.hAPP @t5050 @t5602) @t5052))) % 47.09/47.30 (assume @p4180 (forall @t1458 (= (tptp.hAPP @t5597 @t5407) @t5407))) % 47.09/47.30 (assume @p4181 (forall @t5244 (= (= @t5606 @t5408) @t5409))) % 47.09/47.30 (assume @p4182 (forall @t5223 (= @t5608 (tptp.hAPP @t5601 @t5568)))) % 47.09/47.30 (assume @p4183 (forall @t1838 (= @t5605 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4435 @t4435) @t260) @t5552)))) % 47.09/47.30 (assume @p4184 (forall @t5592 (=> @t5414 (= (tptp.hAPP @t5597 @t5493) (tptp.hAPP @t5599 @t5046))))) % 47.09/47.30 (assume @p4185 (forall @t5223 (= @t5609 (tptp.hAPP @t5597 @t5585)))) % 47.09/47.30 (assume @p4186 (forall @t5223 (= @t5602 (tptp.hAPP (tptp.c_List_Orotate @t76 @t5600) @t5047)))) % 47.09/47.30 (assume @p4187 (forall @t5223 (= (tptp.hAPP @t5558 @t5047) @t5604))) % 47.09/47.30 (assume @p4188 (forall @t5223 (= (tptp.hAPP (tptp.c_List_Orotate @t76 @t370) @t5047) @t5608))) % 47.09/47.30 (assume @p4189 (forall @t5507 (= (tptp.hAPP @t5610 @t5498) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4435 @t15 (tptp.hAPP @t5610 @t5054) (tptp.hAPP (tptp.c_COMBK @t5130 @t15) (tptp.hAPP @t5550 @t5054))) @t5057)))) % 47.09/47.30 (assume @p4190 (forall @t5332 (=> (= @t5600 @t520) @t5611))) % 47.09/47.30 (assume @p4191 (forall @t5216 (=> @t5583 @t5611))) % 47.09/47.30 (assume @p4192 (forall @t5085 (= (tptp.hAPP @t5050 @t5598) @t5338))) % 47.09/47.30 (assume @p4193 (forall @t5223 (= (tptp.hAPP @t5597 @t5214) (tptp.hAPP @t5330 @t5598)))) % 47.09/47.30 (assume @p4194 (forall @t5588 (=> @t5414 (= @t5585 (tptp.hAPP @t5596 @t5609))))) % 47.09/47.30 (assume @p4195 (forall @t5223 (= @t5602 (tptp.hAPP (tptp.hAPP @t5491 (tptp.hAPP (tptp.hAPP @t5554 @t5600) @t5047)) (tptp.hAPP (tptp.hAPP @t5212 @t5600) @t5047))))) % 47.09/47.30 (assume @p4196 (forall @t5241 (=> @t1654 (=> @t5431 (= (tptp.hAPP @t2353 @t5240) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t1590 @t5594) (tptp.hAPP @t5610 @t5057))))))) % 47.09/47.30 (assume @p4197 (forall (@list @t1667 @t47 @t15 @t128) (=> (exists (@list @t1111 @t2441) (= @t128 (tptp.hAPP (tptp.hAPP @t5095 @t1111) @t2441))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5102 (tptp.hAPP @t5535 @t128))) @t5101))))) % 47.09/47.30 (assume @p4198 (forall @t2673 (= (tptp.hAPP @t5612 @t5464) @t290))) % 47.09/47.30 (assume @p4199 (forall (@list @t5316 @t260 @t496) (=> @t503 (tptp.hBOOL (tptp.hAPP @t502 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1274 @t260) @t5316)))))) % 47.09/47.30 (assume @p4200 (forall (@list @t5170 @t47 @t15) (=> @t5614 (= (tptp.hAPP @t1344 (tptp.hAPP @t5613 @t5170)) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t1223 @t47) @t5170))))) % 47.09/47.30 (assume @p4201 (forall @t5615 (=> (tptp.class_Groups_Osemigroup__add @t15) (= (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t1223 @t1345) @t5170) (tptp.hAPP @t1344 (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t1223 @t128) @t5170)))))) % 47.09/47.30 (assume @p4202 (forall (@list @t5057 @t47 @t290 @t2 @t71 @t15) (= (tptp.hAPP @t5612 @t5617) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 @t2 (tptp.hAPP @t397 @t47)) @t5057)))) % 47.09/47.30 (assume @p4203 (forall (@list @t5054 @t5057 @t290 @t2 @t71 @t15) (= (tptp.hAPP @t5612 @t5620) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 @t2 @t5618) @t5054)))) % 47.09/47.30 (assume @p4204 (forall @t594 (=> @t5614 (= @t5314 @t5613)))) % 47.09/47.30 (assume @p4205 (forall (@list @t5316 @t496) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1274 @t496) @t5316) @t520) (and @t903 @t5319)))) % 47.09/47.30 (assume @p4206 (forall @t5623 (=> @t1238 (= @t5622 (tptp.hAPP @t5621 @t5057))))) % 47.09/47.30 (assume @p4207 (forall @t5241 (=> @t703 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t5240) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t70 @t321) @t5057))))) % 47.09/47.30 (assume @p4208 (forall @t5241 (=> @t703 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t5240) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t975 @t2523) @t5057))))) % 47.09/47.30 (assume @p4209 (forall @t5143 (=> @t73 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t15 @t5248) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t70 @t47) @t5057))))) % 47.09/47.30 (assume @p4210 (forall @t5143 (=> @t73 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t15 @t5248) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t15 @t975 @t47) @t5057))))) % 47.09/47.30 (assume @p4211 (forall @t5143 (=> @t720 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t15 @t5248) @t5624)))) % 47.09/47.30 (assume @p4212 (forall @t5143 (=> @t720 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t15 @t5248) @t5625)))) % 47.09/47.30 (assume @p4213 (forall @t5143 (=> @t720 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t15 @t2674 @t5248) @t5624)))) % 47.09/47.30 (assume @p4214 (forall @t5143 (=> @t720 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t15 @t2771 @t5248) @t5625)))) % 47.09/47.30 (assume @p4215 (forall @t5627 (=> @t703 (= (tptp.hAPP (tptp.hAPP @t2572 @t5626) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 (tptp.hAPP @t1668 (tptp.hAPP (tptp.hAPP @t887 @t70) @t2)) @t321) @t5057))))) % 47.09/47.30 (assume @p4216 (forall @t5627 (=> @t703 (= (tptp.hAPP (tptp.hAPP @t4930 @t5626) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 (tptp.hAPP @t1668 (tptp.hAPP (tptp.hAPP @t887 @t975) @t2)) @t2523) @t5057))))) % 47.09/47.30 (assume @p4217 (forall (@list @t5316 @t260) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1476 @t260) @t5318)) (tptp.hBOOL (tptp.hAPP @t497 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1274 @t520) @t5316)))))) % 47.09/47.30 (assume @p4218 (forall @t385 (=> @t720 (=> @t928 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t15 @t339) (tptp.hAPP @t5629 @t5405)))))) % 47.09/47.30 (assume @p4219 (forall (@list @t1667 @t128 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5410 @t128)) @t5101)) (exists (@list @t935 @t3) (= @t128 (tptp.hAPP @t5630 @t3)))))) % 47.09/47.30 (assume @p4220 (forall (@list @t47 @t2 @t15 @t71) (=> @t2722 (= (tptp.hAPP @t5632 @t5408) @t5438)))) % 47.09/47.30 (assume @p4221 (forall (@list @t5054 @t71 @t128 @t47 @t2 @t15) (=> @t720 (and (=> @t5636 (= @t5635 (tptp.hAPP @t5616 @t5461))) (=> (not @t5636) (= @t5635 (tptp.hAPP @t5460 (tptp.hAPP @t5634 @t5054)))))))) % 47.09/47.30 (assume @p4222 (forall @t5143 (=> @t720 (= (tptp.c_List_Oremove1 @t15 @t47 @t5637) @t5057)))) % 47.09/47.30 (assume @p4223 (forall (@list @t5057 @t71 @t128 @t47 @t2 @t15) (=> @t720 (=> @t844 (= (tptp.hAPP @t5638 @t5639) (tptp.hAPP @t5634 (tptp.hAPP @t5638 @t5057))))))) % 47.09/47.30 (assume @p4224 (forall (@list @t5057 @t128 @t47 @t15) (=> @t720 (= (tptp.hAPP @t5629 (tptp.hAPP @t5640 @t5057)) (tptp.hAPP @t5640 @t5637))))) % 47.09/47.30 (assume @p4225 (forall @t594 (=> @t720 (tptp.c_Finite__Set_Ofun__left__comm @t15 @t4435 @t5628)))) % 47.09/47.30 (assume @p4226 (forall @t5642 (=> @t2722 (= (tptp.hAPP @t5226 @t5641) @t5247)))) % 47.09/47.30 (assume @p4227 (forall @t5642 (=> @t2722 (= (tptp.hAPP @t5044 @t5641) @t5643)))) % 47.09/47.30 (assume @p4228 (forall (@list @t5057 @t290 @t2 @t15 @t71) (=> @t2722 (not (= @t5645 @t5408))))) % 47.09/47.30 (assume @p4229 (forall @t5642 (=> @t2722 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5641)) @t5384)))) % 47.09/47.30 (assume @p4230 (forall @t5649 (=> @t720 (=> (not @t5648) (= @t5646 @t5639))))) % 47.09/47.30 (assume @p4231 (forall @t5143 (=> @t720 (=> @t5252 (= @t5650 @t5637))))) % 47.09/47.30 (assume @p4232 (forall (@list @t47 @t2 @t5057 @t15 @t71) (=> @t2722 (=> @t5376 (tptp.hBOOL (tptp.hAPP @t5374 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t15 @t71 @t2 @t47 @t5057))))))) % 47.09/47.30 (assume @p4233 (forall @t5143 (=> @t720 (=> @t5245 (= @t5650 @t5057))))) % 47.09/47.30 (assume @p4234 (forall @t5143 (=> @t720 (= (tptp.hAPP @t5226 @t5650) @t5247)))) % 47.09/47.30 (assume @p4235 (forall @t5649 (=> @t720 (=> @t5648 (= @t5646 @t5057))))) % 47.09/47.30 (assume @p4236 (forall (@list @t75 @t558 @t76 @t5047) (=> @t5414 (and (=> @t5372 (= @t5652 @t75)) (=> @t5373 (= @t5652 @t5651)))))) % 47.09/47.30 (assume @p4237 (forall @t5415 (=> @t5414 (= @t5651 (tptp.hAPP @t5198 @t5338))))) % 47.09/47.30 (assume @p4238 (forall @t5517 @t5654)) % 47.09/47.30 (assume @p4239 (forall @t5517 @t5655)) % 47.09/47.30 (assume @p4240 (forall @t5517 (and @t5654 @t5655))) % 47.09/47.30 (assume @p4241 (forall @t5117 @t5657)) % 47.09/47.30 (assume @p4242 (forall @t5117 @t5658)) % 47.09/47.30 (assume @p4243 (forall @t5117 (and @t5657 @t5658))) % 47.09/47.30 (assume @p4244 (forall (@list @t15 @t5659) (=> (not (= @t5659 @t5408)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 (tptp.c_List_Olast @t15 @t5659)) (tptp.hAPP @t5226 @t5659)))))) % 47.09/47.30 (assume @p4245 (forall @t5397 (= (tptp.c_List_Olast @t76 @t5531) @t75))) % 47.09/47.30 (assume @p4246 (forall @t5332 (=> @t5336 (= (tptp.c_List_Olast @t76 @t5557) @t5651)))) % 47.09/47.30 (assume @p4247 (forall @t5415 (=> @t5414 (= (tptp.hAPP (tptp.hAPP @t5491 @t5335) (tptp.hAPP (tptp.hAPP @t5105 @t5651) @t5407)) @t5047)))) % 47.09/47.30 (assume @p4248 (forall (@list @t5054 @t47 @t5057 @t15) (= (= @t5484 @t5054) (and (not @t5489) (= @t5530 @t5057) (= (tptp.c_List_Olast @t15 @t5054) @t47))))) % 47.09/47.30 (assume @p4249 (forall @t320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t290) @t5182)) (or @t5661 (exists (@list @t935 @t5660) (and (= @t290 (tptp.hAPP @t5630 @t5660)) @t937 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t5660) @t5182)))))))) % 47.09/47.30 (assume @p4250 (forall @t5595 (=> @t5431 (= (tptp.c_Random_Oselect__weight @t15 @t5662) @t5452)))) % 47.09/47.30 (assume @p4251 (forall @t823 (=> @t2531 @t5665))) % 47.09/47.30 (assume @p4252 (forall @t5668 (=> @t5431 (= (tptp.c_List_Olast @t71 @t5667) (tptp.hAPP @t2 @t5666))))) % 47.09/47.30 (assume @p4253 (forall (@list @t5057 @t2 @t184 @t290 @t1 @t71 @t15) (= (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 @t1 @t290) @t5671) (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t184 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2534 @t829) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t72 (tptp.tc_fun @t2534 @t829) @t15) @t185) @t1)) @t2) @t290) @t5057)))) % 47.09/47.30 (assume @p4254 (forall @t5675 (= (tptp.hAPP @t5605 @t5674) (tptp.hAPP @t5673 (tptp.hAPP (tptp.c_List_Orotate @t71 @t260) @t5057))))) % 47.09/47.30 (assume @p4255 (forall @t5676 (= (tptp.hAPP @t5673 (tptp.hAPP (tptp.c_List_Otl @t71) @t5057)) (tptp.hAPP @t5610 @t5674)))) % 47.09/47.30 (assume @p4256 (forall @t5676 (= (= @t5674 @t5408) @t5677))) % 47.09/47.30 (assume @p4257 (forall @t407 (= (tptp.hAPP @t5673 @t5464) @t5408))) % 47.09/47.30 (assume @p4258 (forall @t5678 (= (= @t5408 @t5674) @t5677))) % 47.09/47.30 (assume @p4259 (forall (@list @t128 @t469 @t5057 @t2 @t15 @t71) (= (tptp.hAPP @t5673 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t71 @t5057) @t469) @t128)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t15 @t5674) @t469) @t411)))) % 47.09/47.30 (assume @p4260 (forall @t5682 (=> @t635 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 @t889) @t5057)) (tptp.hAPP (tptp.hAPP @t565 @t5681) @t5680))))) % 47.09/47.30 (assume @p4261 (forall (@list @t5057 @t281 @t2 @t71 @t15) (=> @t1666 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP @t1669 @t281)) @t5057)) (tptp.hAPP (tptp.hAPP @t1590 @t5681) @t281))))) % 47.09/47.30 (assume @p4262 (forall (@list @t5057 @t2 @t281 @t71 @t15) (=> @t1666 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP (tptp.hAPP @t1672 @t1701) @t2)) @t5057)) (tptp.hAPP @t1701 @t5681))))) % 47.09/47.30 (assume @p4263 (forall (@list @t5057 @t71 @t15) (=> @t5614 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 @t880) @t5057)) @t624)))) % 47.09/47.30 (assume @p4264 (forall @t5682 (=> @t834 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 @t1331) @t5057)) (tptp.hAPP (tptp.hAPP @t1223 @t5681) @t5680))))) % 47.09/47.30 (assume @p4265 (forall @t5676 (= (tptp.hAPP @t5673 (tptp.c_List_Obutlast @t71 @t5057)) (tptp.c_List_Obutlast @t15 @t5674)))) % 47.09/47.30 (assume @p4266 (forall (@list @t5054 @t1 @t184 @t5057 @t2 @t15 @t71) (=> (= @t5674 (tptp.hAPP (tptp.hAPP @t5685 @t1) @t5054)) (= @t5684 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5683) @t5054))))) % 47.09/47.30 (assume @p4267 (forall @t5678 (= (tptp.hAPP @t5044 @t5674) @t5684))) % 47.09/47.30 (assume @p4268 (forall (@list @t1 @t5057 @t2 @t15 @t71) (= (= @t5674 @t5679) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t401 @t5626)) @t6))))) % 47.09/47.30 (assume @p4269 (forall @t5675 (= (tptp.hAPP @t5219 @t5674) (tptp.hAPP @t5673 (tptp.hAPP @t5687 @t5057))))) % 47.09/47.30 (assume @p4270 (forall @t5690 (=> @t5689 (=> (tptp.c_Fun_Oinj__on @t71 @t15 @t2 @t2512) @t5160)))) % 47.09/47.30 (assume @p4271 (forall @t5693 (=> @t2531 @t5692))) % 47.09/47.30 (assume @p4272 (forall @t5241 (= (tptp.hAPP @t5695 @t5057) @t5057))) % 47.09/47.30 (assume @p4273 (forall @t5678 (= (tptp.hAPP @t5226 @t5674) @t5647))) % 47.09/47.30 (assume @p4274 (forall @t5642 (= (tptp.hAPP @t5673 @t5617) (tptp.hAPP (tptp.hAPP @t5095 @t69) @t5674)))) % 47.09/47.30 (assume @p4275 (forall @t5241 (= @t5296 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t15 @t3402) @t4326) @t5057)))) % 47.09/47.30 (assume @p4276 (forall (@list @t5054 @t1 @t3973 @t5057 @t2 @t184 @t71 @t15) (= (tptp.hAPP @t5699 (tptp.hAPP @t5697 @t5054)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4552 @t2508) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t184 @t3973 @t2508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t184 @t4717 @t5696) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 (tptp.tc_fun @t4717 @t5696) @t184) (tptp.c_COMBB @t71 @t2508 @t3973)) @t4490)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t184 @t3973) @t5057) @t5054))))) % 47.09/47.30 (assume @p4277 (forall (@list @t5054 @t5057 @t2 @t184 @t71 @t15) (= (tptp.hAPP @t5699 @t5054) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4354 @t2508) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t184 @t71 @t2508) @t4490)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t184 @t71) @t5057) @t5054))))) % 47.09/47.30 (assume @p4278 (forall (@list @t5054 @t5057 @t1 @t3973 @t2 @t15 @t184 @t71) (= (tptp.hAPP @t5701 (tptp.hAPP (tptp.hAPP @t5700 (tptp.hAPP @t5697 @t5057)) @t5054)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4689 @t15) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3973 @t184 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3899 @t829 @t3973) (tptp.hAPP (tptp.c_COMBB @t3891 @t15 @t184) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t71 @t3899 @t3973) @t3893) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3973 @t184) @t5057) @t5054))))) % 47.09/47.30 (assume @p4279 (forall (@list @t5054 @t1 @t3973 @t5057 @t2 @t15 @t184 @t71) (= (tptp.hAPP @t5701 (tptp.hAPP (tptp.hAPP @t5700 @t5057) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t3973 @t184) @t1) @t5054))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4582 @t15) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t3973 @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5702 (tptp.tc_fun @t3973 @t15) @t71) (tptp.hAPP (tptp.c_COMBB @t3891 @t15 @t3973) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t5703 @t5702) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3899 (tptp.tc_fun @t5703 @t5702) @t71) (tptp.c_COMBB @t184 @t3891 @t3973)) @t3893)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t71 @t3973) @t5057) @t5054))))) % 47.09/47.30 (assume @p4280 (forall (@list @t5054 @t2 @t184 @t5057 @t71 @t15) (= (tptp.hAPP @t5289 (tptp.hAPP @t5670 @t5054)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4359 @t2508) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t184 @t2508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2534 @t5704) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 (tptp.tc_fun @t2534 @t5704) @t15) (tptp.c_COMBB @t71 @t2508 @t184)) @t3849)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t15 @t184) @t5057) @t5054))))) % 47.09/47.30 (assume @p4281 (forall @t5690 (= (tptp.hAPP @t5673 @t5620) (tptp.hAPP (tptp.hAPP @t5478 @t5674) @t5688)))) % 47.09/47.30 (assume @p4282 (forall @t5668 (=> @t5431 (= (tptp.hAPP (tptp.c_List_Ohd @t71) @t5667) (tptp.hAPP @t2 @t5594))))) % 47.09/47.30 (assume @p4283 (forall @t5675 (= (tptp.hAPP @t5564 @t5674) (tptp.hAPP @t5673 (tptp.hAPP @t5705 @t5057))))) % 47.09/47.30 (assume @p4284 (forall (@list @t3462 @t2 @t71 @t5057 @t128 @t15) (=> (not @t5249) (= (tptp.hAPP (tptp.hAPP @t5663 (tptp.c_Fun_Ofun__upd @t15 @t71 @t2 @t128 @t3462)) @t5057) @t5667)))) % 47.09/47.30 (assume @p4285 (forall (@list @t2 @t71 @t5057 @t15 @t260) (=> @t5272 (= (tptp.hAPP (tptp.hAPP @t5304 @t5667) @t260) (tptp.hAPP @t2 @t5271))))) % 47.09/47.30 (assume @p4286 (forall @t5690 (=> @t5689 (=> (tptp.c_Fun_Oinj__on @t71 @t15 @t2 (tptp.hAPP (tptp.hAPP @t89 @t5626) @t5286)) @t5160)))) % 47.09/47.30 (assume @p4287 (forall @t5693 (=> @t5706 @t5692))) % 47.09/47.30 (assume @p4288 (forall (@list @t5057 @t1 @t71 @t2 @t15) (= (tptp.c_List_Olist_Olist__size @t15 @t2 @t5679) (tptp.c_List_Olist_Olist__size @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 tptp.tc_Nat_Onat @t71 @t2) @t1) @t5057)))) % 47.09/47.30 (assume @p4289 (forall (@list @t1 @t2 @t15 @t71 @t184) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5683 @t5300 @t4435 @t5670) (tptp.hAPP (tptp.c_List_Omap @t15 @t184) @t1)) (tptp.hAPP @t5663 @t4641)))) % 47.09/47.30 (assume @p4290 (forall (@list @t5113 @t1 @t184 @t2 @t15 @t71) (= (tptp.hAPP @t5673 (tptp.hAPP @t5708 @t5113)) (tptp.hAPP @t5707 @t5113)))) % 47.09/47.30 (assume @p4291 (forall (@list @t5057 @t1 @t184 @t2 @t15 @t71) (= (tptp.hAPP @t5673 (tptp.hAPP @t5708 @t5057)) (tptp.hAPP @t5707 @t5057)))) % 47.09/47.30 (assume @p4292 (forall @t594 (= (tptp.hAPP @t5694 @t4568) @t5607))) % 47.09/47.30 (assume @p4293 (forall @t594 (= @t5695 @t5607))) % 47.09/47.30 (assume @p4294 (forall @t5678 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5674)) (and (tptp.hBOOL (tptp.hAPP @t5709 @t5057)) (tptp.c_Fun_Oinj__on @t71 @t15 @t2 @t5626))))) % 47.09/47.30 (assume @p4295 (forall @t5241 (=> @t2296 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 (tptp.hAPP @t2293 @t5315)) (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5694 @t2293) @t5057))))))) % 47.09/47.30 (assume @p4296 (forall @t5678 (=> @t635 (= (tptp.hAPP @t2844 @t5681) (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t15 @t71 @t2844) @t2)) @t5057)))))) % 47.09/47.30 (assume @p4297 (forall @t823 (= @t5665 @t2531))) % 47.09/47.30 (assume @p4298 (forall @t823 (=> @t5665 @t2531))) % 47.09/47.30 (assume @p4299 (forall (@list @t2 @t5057 @t15 @t71) (=> @t954 (=> @t5376 (= @t5711 (tptp.hAPP @t921 @t5240)))))) % 47.09/47.30 (assume @p4300 (forall (@list @t5057 @t1667 @t71 @t15) (=> @t1957 (= (tptp.hAPP @t5314 (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP @t879 @t1667)) @t5057)) (tptp.hAPP (tptp.hAPP @t1590 (tptp.hAPP @t1832 @t5684)) @t1667))))) % 47.09/47.30 (assume @p4301 (forall @t5468 (= (tptp.c_Enum_Oproduct @t15 @t71 @t5124 @t5054) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2508) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t71 @t2508) @t3860) @t5054)) @t5308)))) % 47.09/47.30 (assume @p4302 (forall (@list @t2 @t5057 @t47 @t15 @t71) (=> @t954 (=> @t5245 (= @t5711 (tptp.hAPP (tptp.hAPP @t1201 @t69) (tptp.hAPP @t5710 (tptp.hAPP @t5664 @t5394)))))))) % 47.09/47.30 (assume @p4303 (forall @t406 (=> (tptp.c_Fun_Oinj__on @t15 @t71 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 (tptp.hAPP @t5255 @t51))) (tptp.c_Fun_Oinj__on @t4435 @t5300 @t5664 @t51)))) % 47.09/47.30 (assume @p4304 (forall @t1061 (=> @t954 (and (=> @t928 (= @t5712 (tptp.hAPP @t5710 (tptp.hAPP @t5664 @t5392)))) (=> @t1058 (= @t5712 @t1033)))))) % 47.09/47.30 (assume @p4305 (forall (@list @t5057 @t15 @t1490) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t1490) @t5058)) (= (tptp.hAPP (tptp.c_Random_Opick @t15 @t5662) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1490)) (tptp.hAPP @t5190 @t1490))))) % 47.09/47.30 (assume @p4306 (forall @t5143 (= (tptp.c_Enum_Osublists @t15 @t5124) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5713 @t5713) @t5253) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5713 @t5713 @t5713) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5713 (tptp.tc_fun @t5713 @t5713) @t5713) (tptp.c_List_Oappend @t4435)) (tptp.hAPP @t5714 @t5123))) (tptp.c_COMBI @t5713)))))) % 47.09/47.30 (assume @p4307 (forall @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4777 @t5716) @t5715)) @t865))) % 47.09/47.30 (assume @p4308 (= @t3808 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1449))) % 47.09/47.30 (assume @p4309 (forall @t501 (= (= @t5716 @t5715) @t863))) % 47.09/47.30 (assume @p4310 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t5719 @t5718) @t5717) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1778)))) % 47.09/47.30 (assume @p4311 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 47.09/47.30 (assume @p4312 (= @t3794 @t5720)) % 47.09/47.30 (assume @p4313 (forall @t2141 (=> (tptp.hBOOL (tptp.hAPP @t2143 @t2495)) (=> @t5722 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t47) @t5721) @t129))))) % 47.09/47.30 (assume @p4314 (forall @t5725 (=> @t5724 (= (tptp.hAPP @t5723 @t5290) @t5057)))) % 47.09/47.30 (assume @p4315 (forall @t5725 (=> @t5724 (= (tptp.hAPP @t5726 @t5290) @t5054)))) % 47.09/47.30 (assume @p4316 (= @t3789 (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))) % 47.09/47.30 (assume @p4317 (forall (@list @t5170 @t71 @t15) (= (tptp.hAPP (tptp.hAPP @t5288 @t5728) @t5727) @t5170))) % 47.09/47.30 (assume @p4318 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t4775 @t5718) @t5717) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1317)))) % 47.09/47.30 (assume @p4319 (forall @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4779 @t5716) @t5715)) @t498))) % 47.09/47.30 (assume @p4320 (forall @t5241 (=> @t5376 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t54) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4435 @t54) @t5226) @t5253)))))) % 47.09/47.30 (assume @p4321 (forall @t5732 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4777 @t1144) @t5731)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 (tptp.hAPP @t5730 @t1144)) @t5729))))) % 47.09/47.30 (assume @p4322 (forall (@list @t5170 @t5054 @t71 @t5057 @t15) (=> @t5724 (= (= @t5290 @t5170) (and (= @t5728 @t5057) (= @t5727 @t5054)))))) % 47.09/47.30 (assume @p4323 (forall @t5733 (= @t5266 (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t5320 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t15 tptp.tc_Nat_Onat) @t2) @t5057))) @t5058)))) % 47.09/47.30 (assume @p4324 (forall @t2229 (= (not (= @t1144 @t5720)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4779 @t3808) @t1144))))) % 47.09/47.30 (assume @p4325 (forall (@list @t1374 @t1144 @t2 @t15) (=> @t834 (= (tptp.hAPP @t2279 @t5312) (tptp.hAPP @t5314 (tptp.hAPP @t5734 @t5311)))))) % 47.09/47.30 (assume @p4326 (forall (@list @t1490 @t469 @t2 @t15) (=> @t834 (= (tptp.hAPP @t5314 (tptp.hAPP @t5734 @t5735)) (tptp.hAPP @t2279 (tptp.hAPP @t5310 @t5735)))))) % 47.09/47.30 (assume @p4327 (forall @t5736 (=> (tptp.hBOOL (tptp.hAPP @t4787 @t5731)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 (tptp.hAPP @t5453 (tptp.hAPP @t5140 @t543))) @t5729))))) % 47.09/47.30 (assume @p4328 (forall @t5241 (= @t5140 (tptp.hAPP (tptp.hAPP @t5739 (tptp.c_Random_Orange @t5731)) (tptp.hAPP @t5738 @t5730))))) % 47.09/47.30 (assume @p4329 (forall @t5241 (= @t5452 (tptp.hAPP (tptp.hAPP @t5739 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5058))) (tptp.hAPP @t5738 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t15 tptp.tc_Code__Numeral_Ocode__numeral) @t5190) tptp.c_Code__Numeral_Onat__of)))))) % 47.09/47.30 (assume @p4330 (forall @t672 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5718) @t5717) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t645)))) % 47.09/47.30 (assume @p4331 (forall @t3255 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t75)) @t75))) % 47.09/47.30 (assume @p4332 (forall @t2026 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5740) @t558))) % 47.09/47.30 (assume @p4333 (forall @t483 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5718) @t369))) % 47.09/47.30 (assume @p4334 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t5719 @t369) @t488) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1625 @t5742) @t5741))))) % 47.09/47.30 (assume @p4335 (forall @t2046 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t469) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1490)) @t3583))) % 47.09/47.30 (assume @p4336 (forall @t2141 (= (= @t5743 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t128)) @t129))) % 47.09/47.30 (assume @p4337 (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 @t2495)) % 47.09/47.30 (assume @p4338 (forall @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4777 @t260) @t496)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5745) @t5744))))) % 47.09/47.30 (assume @p4339 (forall @t2277 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1476 @t5743) @t2495)))) % 47.09/47.30 (assume @p4340 (forall @t2026 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t3789 @t558)) (tptp.hAPP @t3435 @t558)))) % 47.09/47.30 (assume @p4341 (= 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 @t1871) tptp.c_Code__Numeral_Onat__of))) % 47.09/47.30 (assume @p4342 (forall @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4779 @t260) @t496)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5745) @t5744))))) % 47.09/47.30 (assume @p4343 (forall @t3039 (= @t5746 (tptp.c_Code__Numeral_Onat__of__aux @t559 @t520)))) % 47.09/47.30 (assume @p4344 (forall @t665 (= @t3835 (tptp.hAPP (tptp.hAPP @t1274 @t5746) @t369)))) % 47.09/47.30 (assume @p4345 (forall @t2026 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t558) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5740))))) % 47.09/47.30 (assume @p4346 (forall @t672 (= @t5747 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t643 @t5742) @t5741))))) % 47.09/47.30 (assume @p4347 (forall @t4614 (=> @t5722 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5721) @t128)))) % 47.09/47.30 (assume @p4348 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t4775 @t369) @t488) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1274 @t5742) @t5741))))) % 47.09/47.30 (assume @p4349 (forall @t672 (= @t3989 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t3256 @t5742) @t5741))))) % 47.09/47.30 (assume @p4350 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t3809)) % 47.09/47.30 (assume @p4351 (forall @t672 (= @t5747 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t369) @t488)))) % 47.09/47.30 (assume @p4352 (forall @t672 (= @t3988 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5742 @t5741))))) % 47.09/47.30 (assume @p4353 (forall @t2026 (=> (not (= @t558 @t5720)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP (tptp.hAPP @t643 @t5740) @t904)) @t5740))))) % 47.09/47.30 (assume @p4354 (forall (@list @t1 @t2 @t5057 @t15 @t71) (=> (and @t5748 @t953) (=> (forall @t7 (=> @t5263 @t218)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t5711) (tptp.hAPP @t5710 (tptp.hAPP (tptp.hAPP @t5663 @t1) @t5057)))))))) % 47.09/47.30 (assume @p4355 (forall (@list @t1144 @t5749) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5749) @t1144) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5749 (tptp.hAPP (tptp.hAPP @t5719 (tptp.hAPP @t3789 @t3667)) @t1144)))))) % 47.09/47.30 (assume @p4356 (forall @t5756 (=> @t5755 (= (tptp.hAPP (tptp.hAPP @t55 @t5753) @t5751) @t5240)))) % 47.09/47.30 (assume @p4357 (forall @t67 (= @t5758 (tptp.hAPP (tptp.hAPP @t5757 (tptp.hAPP @t5129 @t5182)) (tptp.hAPP @t5129 @t5184))))) % 47.09/47.30 (assume @p4358 (forall @t170 (tptp.hBOOL (tptp.hAPP @t5759 @t5408)))) % 47.09/47.30 (assume @p4359 (forall (@list @t5057 @t51 @t15) (= @t5760 (forall @t7 (=> @t5263 @t4621))))) % 47.09/47.30 (assume @p4360 (forall @t67 (= @t5762 (tptp.hAPP (tptp.hAPP @t5757 @t5759) @t5761)))) % 47.09/47.30 (assume @p4361 (forall (@list @t48 @t1490 @t51 @t15) (=> (tptp.hBOOL (tptp.hAPP @t5759 @t1490)) (=> (tptp.hBOOL (tptp.hAPP @t5761 @t1490)) (tptp.hBOOL (tptp.hAPP @t5762 @t1490)))))) % 47.09/47.30 (assume @p4362 (forall @t59 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t15 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 @t51)) @t48)) @t47)) (and (tptp.hBOOL (tptp.hAPP @t5759 @t47)) (tptp.hBOOL (tptp.hAPP @t5761 @t47)))))) % 47.09/47.30 (assume @p4363 (forall (@list @t277 @t278 @t51 @t15) (= (tptp.hBOOL (tptp.hAPP @t5759 (tptp.hAPP @t5178 @t277))) (and (tptp.hBOOL (tptp.hAPP @t51 @t278)) (tptp.hBOOL (tptp.hAPP @t5759 @t277)))))) % 47.09/47.30 (assume @p4364 (forall (@list @t5054 @t5057 @t51 @t15) (= (tptp.hBOOL (tptp.hAPP @t5759 @t5498)) (and @t5760 (tptp.hBOOL (tptp.hAPP @t5759 @t5054)))))) % 47.09/47.30 (assume @p4365 (forall @t67 (=> @t66 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5185 @t5759) @t5761))))) % 47.09/47.30 (assume @p4366 (forall @t5756 (=> @t5755 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 @t5753)) @t172)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 @t5751)) @t2399)))))) % 47.09/47.30 (assume @p4367 (forall @t376 (= (tptp.c_List_Opartition @t15 @t35 @t5408) @t5433))) % 47.09/47.30 (assume @p4368 (forall @t385 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t15 @t622) @t47)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t47) @t5182))))) % 47.09/47.30 (assume @p4369 (forall @t5765 (= (tptp.c_List_Opartition @t15 @t35 @t5124) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4435 @t4435 @t4449) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4435 @t5065 @t5065) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5764 (tptp.tc_fun @t5065 @t5065) @t4435) (tptp.c_COMBS @t4435 @t4449 @t4449)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5065 @t5764 @t4435) (tptp.hAPP (tptp.c_COMBB @t4449 @t5763 @t4435) (tptp.hAPP (tptp.c_If @t4449) @t167))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4435 @t5065 @t4435) @t5059) @t5123)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t5130 @t5065) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5065 (tptp.tc_fun @t5130 @t5065) @t4435) (tptp.c_COMBB @t4435 @t4449 @t4435)) @t5059)) @t5123))) @t5754)))) % 47.09/47.30 (assume @p4370 (forall (@list @t48 @t51 @t1490 @t15) (=> (tptp.hBOOL (tptp.hAPP @t5766 @t5182)) (=> (tptp.hBOOL (tptp.hAPP @t5766 @t5184)) (tptp.hBOOL (tptp.hAPP @t5758 @t1490)))))) % 47.09/47.30 (assume @p4371 (forall @t5770 (= @t5769 (and @t5724 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5768 @t5292)) @t5767)))))) % 47.09/47.30 (assume @p4372 (forall (@list @t47 @t35 @t5057 @t15) (=> @t5262 (=> @t5245 @t168)))) % 47.09/47.30 (assume @p4373 (forall (@list @t5771 @t5659 @t2 @t184 @t35 @t71 @t15) (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 (tptp.hAPP @t5698 @t5659) @t5771) (tptp.c_List_Olist__all2 @t184 @t71 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t88 @t184) @t35) @t2) @t5659 @t5771)))) % 47.09/47.30 (assume @p4374 (forall (@list @t5771 @t2 @t184 @t5659 @t35 @t71 @t15) (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5659 (tptp.hAPP @t5670 @t5771)) (tptp.c_List_Olist__all2 @t15 @t184 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t2534 @t828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 (tptp.tc_fun @t2534 @t828) @t15) (tptp.c_COMBB @t71 tptp.tc_HOL_Obool @t184)) @t35)) @t2) @t5659 @t5771)))) % 47.09/47.30 (assume @p4375 (forall (@list @t5532 @t5533 @t35 @t5054 @t71 @t5057 @t15) (=> @t5724 (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5534 (tptp.hAPP (tptp.hAPP @t5619 @t5054) @t5532)) (and @t5769 (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5533 @t5532)))))) % 47.09/47.30 (assume @p4376 (forall (@list @t345 @t281 @t294 @t290 @t35 @t71 @t15) (=> @t5772 (=> (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t281 @t345) (tptp.c_List_Olist__all2 @t15 @t71 @t35 (tptp.hAPP (tptp.hAPP @t5478 @t290) @t281) (tptp.hAPP (tptp.hAPP @t5619 @t294) @t345)))))) % 47.09/47.30 (assume @p4377 (forall (@list @t260 @t5771 @t5659 @t35 @t71 @t15) (=> (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5659 @t5771) (tptp.c_List_Olist__all2 @t15 @t71 @t35 (tptp.hAPP @t5564 @t5659) (tptp.hAPP @t5705 @t5771))))) % 47.09/47.30 (assume @p4378 (forall (@list @t5054 @t128 @t5057 @t47 @t35 @t71 @t15) (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5124 @t5461) (and @t3957 @t5769)))) % 47.09/47.30 (assume @p4379 (forall @t5203 (= @t5160 (tptp.c_List_Olist__all2 @t15 @t15 tptp.c_fequal @t5057 @t5054)))) % 47.09/47.30 (assume @p4380 (forall (@list @t260 @t5054 @t5057 @t35 @t71 @t15) (=> @t5769 (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5242 (tptp.hAPP @t5687 @t5054))))) % 47.09/47.30 (assume @p4381 (forall @t5770 (=> @t5769 @t5724))) % 47.09/47.30 (assume @p4382 (forall (@list @t5054 @t35 @t71 @t15) (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5408 @t5054) (= @t5054 @t5464)))) % 47.09/47.30 (assume @p4383 (forall (@list @t5057 @t35 @t71 @t15) (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5057 @t5464) @t5409))) % 47.09/47.30 (assume @p4384 (forall @t5770 (= @t5769 (and @t5724 (forall @t952 (=> @t5202 (tptp.hBOOL (tptp.hAPP @t5259 (tptp.hAPP @t5305 @t948))))))))) % 47.09/47.30 (assume @p4385 (forall @t5775 (=> @t5769 (=> (tptp.hBOOL (tptp.hAPP @t5774 @t5058)) @t5773)))) % 47.09/47.30 (assume @p4386 (forall @t5775 (=> @t5769 (=> (tptp.hBOOL (tptp.hAPP @t5774 @t5302)) @t5773)))) % 47.09/47.30 (assume @p4387 (forall (@list @t128 @t47 @t5054 @t35 @t71 @t5057 @t15 @t1144) (=> @t5368 (=> @t5769 (=> @t3957 @t5776))))) % 47.09/47.30 (assume @p4388 (forall (@list @t1144 @t128 @t47 @t5054 @t5057 @t35 @t71 @t15) (=> @t5769 (=> @t3957 (=> (tptp.hBOOL (tptp.hAPP @t1379 @t5302)) @t5776))))) % 47.09/47.30 (assume @p4389 (forall (@list @t35 @t294 @t290 @t71 @t15) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5768 (tptp.hAPP @t5291 (tptp.hAPP (tptp.hAPP @t5288 @t290) @t294)))) @t5767)) (=> @t5778 @t5772)))) % 47.09/47.30 (assume @p4390 (forall @t5623 (=> @t4887 (= @t5622 (tptp.hAPP @t5621 @t5779))))) % 47.09/47.30 (assume @p4391 (forall @t5085 (tptp.hBOOL (tptp.hAPP @t5377 @t5780)))) % 47.09/47.30 (assume @p4392 (forall @t5085 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 (tptp.hAPP @t5050 @t5780)) @t5052)))) % 47.09/47.30 (assume @p4393 (forall @t5397 (=> @t5378 (= (tptp.c_List_Oremove1 @t76 @t75 @t5780) (tptp.c_List_Oremdups @t76 @t5396))))) % 47.09/47.30 (assume @p4394 (forall @t324 (= (= @t5782 @t5408) @t5781))) % 47.09/47.30 (assume @p4395 (forall @t324 (= (= @t5408 @t5782) @t5781))) % 47.09/47.30 (assume @p4396 (forall @t1458 (= (tptp.c_List_Oremdups @t76 @t5407) @t5407))) % 47.09/47.30 (assume @p4397 (forall @t5241 (= (= @t5784 @t5058) @t5783))) % 47.09/47.30 (assume @p4398 (forall @t5241 (= (tptp.hAPP @t5226 @t5779) @t5240))) % 47.09/47.30 (assume @p4399 (forall @t5085 (= (tptp.c_List_Oremdups @t76 @t5780) @t5780))) % 47.09/47.30 (assume @p4400 (forall @t5085 (=> @t5378 (= @t5780 @t5047)))) % 47.09/47.30 (assume @p4401 (forall @t5241 (= @t5783 @t5376))) % 47.09/47.30 (assume @p4402 (forall @t5678 (= (tptp.c_List_Oremdups @t15 (tptp.hAPP @t5673 (tptp.c_List_Oremdups @t71 @t5057))) (tptp.c_List_Oremdups @t15 @t5674)))) % 47.09/47.30 (assume @p4403 (forall @t5143 (and (=> @t5245 (= @t5785 @t5779)) (=> @t5252 (= @t5785 (tptp.hAPP @t5123 @t5779)))))) % 47.09/47.30 (assume @p4404 (forall @t5241 (= @t5784 @t5258))) % 47.09/47.30 (assume @p4405 (forall @t5790 (= (tptp.hAPP @t5044 (tptp.c_List_Oremdups @t15 @t5789)) (tptp.hAPP @t1207 (tptp.hAPP (tptp.hAPP @t5788 @t5787) @t5226))))) % 47.09/47.30 (assume @p4406 (forall @t5241 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t15 @t5240) (tptp.c_List_Olinorder__class_Osort__key @t15 @t15 @t237 @t5779))))) % 47.09/47.30 (assume @p4407 (forall @t5116 (= (tptp.c_List_Oconcat @t76 (tptp.hAPP (tptp.hAPP @t5425 @t75) @t5047)) (tptp.hAPP (tptp.hAPP @t5491 @t75) @t5791)))) % 47.09/47.30 (assume @p4408 (forall @t5790 (= @t5789 (tptp.hAPP (tptp.c_List_Ofoldl @t4435 @t4435 @t5478 @t5408) @t5786)))) % 47.09/47.30 (assume @p4409 (forall (@list @t5786 @t5057 @t15) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4435 @t4435 @t5478 @t5057) @t5786) (tptp.hAPP @t5483 @t5789)))) % 47.09/47.30 (assume @p4410 (forall @t5676 (=> @t2722 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5792)) @t5376)))) % 47.09/47.30 (assume @p4411 (forall @t1458 (= (tptp.c_List_Oconcat @t76 @t5424) @t5407))) % 47.09/47.30 (assume @p4412 (forall @t5676 (=> @t2722 (= (tptp.hAPP @t5226 @t5792) @t5240)))) % 47.09/47.30 (assume @p4413 (forall @t5676 (=> @t2722 (= (tptp.hAPP @t5044 @t5792) @t5058)))) % 47.09/47.30 (assume @p4414 (forall @t407 (=> @t2722 (= (tptp.c_List_Olinorder__class_Osort__key @t15 @t71 @t2 @t5408) @t5408)))) % 47.09/47.30 (assume @p4415 (forall @t5790 (= (= @t5789 @t5408) @t5795))) % 47.09/47.30 (assume @p4416 (forall @t5790 (= (= @t5408 @t5789) @t5795))) % 47.09/47.30 (assume @p4417 (forall @t5676 (= (tptp.hAPP @t5673 (tptp.c_List_Oconcat @t71 @t5057)) (tptp.c_List_Oconcat @t15 @t5797)))) % 47.09/47.30 (assume @p4418 (forall @t5790 (= (tptp.hAPP @t5044 @t5789) (tptp.hAPP @t5320 (tptp.hAPP @t5798 @t5786))))) % 47.09/47.30 (assume @p4419 (forall @t5241 (= (tptp.hAPP @t5226 @t5800) (tptp.hAPP (tptp.hAPP @t5788 @t5799) @t5226)))) % 47.09/47.30 (assume @p4420 (forall @t5642 (=> @t2722 (= (tptp.c_List_Olinorder__class_Osort__key @t15 @t71 @t2 @t5124) (tptp.hAPP @t5632 @t5792))))) % 47.09/47.30 (assume @p4421 (forall @t5053 (= (tptp.c_List_Oconcat @t76 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t5049) @t5047) @t5046)) (tptp.hAPP (tptp.hAPP @t5491 @t5791) (tptp.c_List_Oconcat @t76 @t5046))))) % 47.09/47.30 (assume @p4422 (forall @t5241 (=> @t720 (= @t5801 (tptp.hAPP (tptp.c_List_Ofoldl @t4435 @t15 (tptp.hAPP @t5447 @t5628) @t5408) @t5057))))) % 47.09/47.30 (assume @p4423 (forall @t5507 (=> @t5806 (=> @t5805 (=> @t5802 @t5160))))) % 47.09/47.30 (assume @p4424 (forall @t5507 (=> @t5802 (=> @t5805 (= @t5806 @t5160))))) % 47.09/47.30 (assume @p4425 (forall @t5678 (= (tptp.c_List_Oconcat @t15 (tptp.hAPP (tptp.hAPP @t5807 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t4435 @t4435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t5130 @t71) @t5095) @t2)) @t5408)) @t5057)) @t5674))) % 47.09/47.30 (assume @p4426 (forall @t5244 (= (tptp.c_Enum_On__lists @t15 @t261 @t5057) (tptp.c_List_Oconcat @t4435 (tptp.hAPP (tptp.hAPP @t5809 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4435 @t4435 @t5713) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t15 @t4435) @t5808 @t4435) (tptp.c_List_Omap @t15 @t4435)) @t5448)) @t5057)) @t5277))))) % 47.09/47.30 (assume @p4427 (forall @t5816 @t5815)) % 47.09/47.30 (assume @p4428 (forall @t5790 (= @t5813 (tptp.hAPP (tptp.hAPP @t5820 @t5593) @t5819)))) % 47.09/47.30 (assume @p4429 (forall @t5822 (= (tptp.hAPP @t5821 @t5800) (tptp.c_List_Oconcat @t15 (tptp.hAPP (tptp.hAPP @t5714 @t5821) @t5057))))) % 47.09/47.30 (assume @p4430 (forall (@list @t5057 @t2 @t35 @t15 @t71) (=> @t2722 (= (tptp.hAPP @t5823 @t5792) (tptp.c_List_Olinorder__class_Osort__key @t15 @t71 @t2 @t5824))))) % 47.09/47.30 (assume @p4431 (forall @t5828 (= @t5827 (tptp.hAPP @t5673 @t5826)))) % 47.09/47.30 (assume @p4432 (forall (@list @t5057 @t2 @t15 @t47 @t35 @t71) (=> @t2722 (=> @t5829 (= (tptp.hAPP @t5823 @t5641) @t5824))))) % 47.09/47.30 (assume @p4433 (forall @t376 (= (tptp.hAPP @t5823 @t5408) @t5408))) % 47.09/47.30 (assume @p4434 (forall @t1458 (= (tptp.c_List_Otranspose @t76 @t5424) @t5424))) % 47.09/47.30 (assume @p4435 (forall @t5830 (= (= @t5824 @t5408) (forall @t7 (=> @t5263 @t2399))))) % 47.09/47.30 (assume @p4436 (forall @t5830 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5831) @t5058)))) % 47.09/47.30 (assume @p4437 (forall @t5830 (= (tptp.hAPP (tptp.hAPP @t1274 @t5831) (tptp.hAPP @t5044 (tptp.hAPP (tptp.c_List_Ofilter @t15 @t2540) @t5057))) @t5058))) % 47.09/47.30 (assume @p4438 (forall @t5830 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t5832) @t5240)))) % 47.09/47.30 (assume @p4439 (forall @t5830 (= (= @t5824 @t5057) @t5264))) % 47.09/47.30 (assume @p4440 (forall (@list @t5057 @t34 @t35 @t15) (= (tptp.hAPP @t5823 @t5834) (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 @t34)) @t35)) @t5057)))) % 47.09/47.30 (assume @p4441 (forall @t5835 (=> @t5829 (= (tptp.c_List_Oremove1 @t15 @t47 @t5824) @t5824)))) % 47.09/47.30 (assume @p4442 (forall (@list @t5057 @t47 @t34 @t15) (= (tptp.hAPP @t5833 @t5394) (tptp.c_List_Oremove1 @t15 @t47 @t5834)))) % 47.09/47.30 (assume @p4443 (forall @t5835 (and (=> @t168 (= @t5836 (tptp.hAPP @t5123 @t5824))) (=> @t5829 (= @t5836 @t5824))))) % 47.09/47.30 (assume @p4444 (forall @t5838 (= (tptp.hAPP @t5823 @t5498) (tptp.hAPP (tptp.hAPP @t5478 @t5824) @t5837)))) % 47.09/47.30 (assume @p4445 (forall @t5265 (=> @t5376 (tptp.hBOOL (tptp.hAPP @t5374 @t5824))))) % 47.09/47.30 (assume @p4446 (forall @t5830 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4435 @t4435) @t5754) @t5824))) % 47.09/47.30 (assume @p4447 (forall @t5830 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4435 @t4435) @t5754) (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP @t5839 @t35)) @t5057)))) % 47.09/47.30 (assume @p4448 (forall @t5830 (= (tptp.c_List_Oremdups @t15 @t5824) (tptp.hAPP @t5823 @t5779)))) % 47.09/47.30 (assume @p4449 (forall (@list @t5840 @t76) (= (tptp.c_List_Otranspose @t76 (tptp.hAPP @t5426 @t5840)) (tptp.c_List_Otranspose @t76 @t5840)))) % 47.09/47.30 (assume @p4450 (forall @t5732 (=> @t5848 (= @t5846 (tptp.hAPP @t5843 @t5842))))) % 47.09/47.30 (assume @p4451 (forall @t5678 (= (tptp.c_List_Otranspose @t15 @t5797) (tptp.hAPP @t5796 (tptp.c_List_Otranspose @t71 @t5057))))) % 47.09/47.30 (assume @p4452 (forall @t5830 (= @t5832 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t808 (tptp.hAPP @t389 @t5240))) @t35))))) % 47.09/47.30 (assume @p4453 (forall @t5828 (= (tptp.hAPP @t5044 @t5827) (tptp.hAPP @t5301 @t5826)))) % 47.09/47.30 (assume @p4454 (forall (@list @t35 @t5057 @t47 @t15) (=> @t5245 (=> @t5829 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5831) @t5058)))))) % 47.09/47.30 (assume @p4455 (forall @t5733 (= (tptp.c_List_Opartition @t15 @t2 @t5057) (tptp.hAPP (tptp.hAPP @t5059 (tptp.hAPP (tptp.c_List_Ofilter @t15 @t2) @t5057)) (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP @t5839 @t2)) @t5057))))) % 47.09/47.30 (assume @p4456 (forall @t5849 (= (tptp.hAPP @t5375 @t1209) (tptp.hAPP @t5226 (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP @t792 (tptp.hAPP @t679 @t128))) @t5057))))) % 47.09/47.30 (assume @p4457 (forall @t5736 (=> @t5376 (= (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP @t389 (tptp.hAPP @t5226 @t5850))) @t5057) @t5850)))) % 47.09/47.30 (assume @p4458 (forall @t5241 (= (= @t5844 @t5810) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5794 @t5799)) @t5793))))) % 47.09/47.30 (assume @p4459 (forall @t5822 (= (tptp.hAPP @t5044 (tptp.hAPP @t5821 @t5057)) (tptp.hAPP @t1739 (tptp.hAPP @t2376 (tptp.hAPP @t5087 (tptp.hAPP (tptp.hAPP @t5233 @t1796) @t5190))))))) % 47.09/47.30 (assume @p4460 (forall @t5790 (= @t5812 (tptp.hAPP (tptp.hAPP @t5714 @t5610) @t5819)))) % 47.09/47.30 (assume @p4461 (forall @t5816 (=> (tptp.hBOOL (tptp.hAPP @t5851 @t5814)) @t5815))) % 47.09/47.30 (assume @p4462 (forall @t5790 (=> (tptp.hBOOL (tptp.hAPP @t5851 @t5852)) (= (tptp.c_List_Otranspose @t15 @t5852) (tptp.c_List_Otranspose @t15 @t5786))))) % 47.09/47.30 (assume @p4463 (forall (@list @t5853 @t5057 @t35 @t15) (= (tptp.hAPP @t5859 (tptp.hAPP (tptp.c_List_Ofilter @t5857 (tptp.hAPP @t5858 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5857) tptp.c_Nat_OSuc) @t5856))) (tptp.hAPP @t5855 @t5853))) (tptp.hAPP @t5859 (tptp.hAPP (tptp.c_List_Ofilter @t5857 (tptp.hAPP @t5858 @t5856)) (tptp.hAPP @t5855 (tptp.hAPP @t5854 @t5853))))))) % 47.09/47.30 (assume @p4464 (forall @t5241 (= (tptp.c_Random_Oselect__weight @t15 @t5860) @t5140))) % 47.09/47.30 (assume @p4465 (forall @t5241 (= (tptp.c_Random_Opick @t15 @t5860) @t5730))) % 47.09/47.30 (assume @p4466 (forall @t594 (=> (tptp.hBOOL (tptp.hAPP @t5851 @t5810)) (= (tptp.c_List_Otranspose @t15 @t5810) @t5810)))) % 47.09/47.30 (assume @p4467 (forall @t5241 (= (tptp.c_List_Ofoldr @t4435 tptp.tc_Nat_Onat @t5861 @t5844 @t520) (tptp.hAPP @t5803 (tptp.hAPP @t5818 @t5057))))) % 47.09/47.30 (assume @p4468 (forall (@list @t5786 @t71 @t5057 @t15) (= (tptp.hAPP (tptp.hAPP @t2778 @t5643) (tptp.c_List_Ofoldr @t5300 tptp.tc_Nat_Onat (tptp.hAPP @t5863 @t5301) @t5786 @t520)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2778 @t5058) (tptp.c_List_Ofoldr @t5300 tptp.tc_Nat_Onat (tptp.hAPP @t5863 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5300 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5862 @t643) @t5301)) @t904)) (tptp.hAPP (tptp.c_List_Ofilter @t5300 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5300) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5300 @t5300 tptp.tc_HOL_Obool) tptp.c_fequal) @t5464))) @t5786) @t520)))))) % 47.09/47.30 (assume @p4469 (forall (@list @t290 @t2 @t15 @t71) (= (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5464 @t290) @t290))) % 47.09/47.30 (assume @p4470 (forall (@list @t290 @t5057 @t47 @t2 @t15 @t71) (= (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5617 @t290) (tptp.hAPP @t69 @t5864)))) % 47.09/47.30 (assume @p4471 (forall (@list @t290 @t5054 @t5057 @t2 @t15 @t71) (= (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5620 @t290) (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5057 (tptp.c_List_Ofoldr @t71 @t15 @t2 @t5054 @t290))))) % 47.09/47.30 (assume @p4472 (forall (@list @t290 @t5057 @t15) (=> (tptp.class_Groups_Oab__semigroup__add @t15) (= (tptp.c_List_Ofoldr @t15 @t15 @t1223 @t5057 @t290) @t5865)))) % 47.09/47.30 (assume @p4473 (forall (@list @t290 @t5057 @t2 @t184 @t1 @t15 @t71) (= (tptp.c_List_Ofoldr @t71 @t15 @t1 @t5671 @t290) (tptp.c_List_Ofoldr @t184 @t15 (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t886 @t184 @t1) @t2) @t5057 @t290)))) % 47.09/47.30 (assume @p4474 (forall @t5241 (=> @t5614 (= (tptp.hAPP @t5613 @t5057) @t5866)))) % 47.09/47.30 (assume @p4475 (forall @t5867 (=> @t5614 (= @t5865 (tptp.hAPP @t1229 @t5866))))) % 47.09/47.30 (assume @p4476 (forall @t5241 (= @t5847 (tptp.c_List_Ofoldr @t4435 tptp.tc_Nat_Onat @t5861 @t5057 @t520)))) % 47.09/47.30 (assume @p4477 (forall @t5269 (= (tptp.c_List_Osublist @t15 @t5057 @t51) (tptp.hAPP @t5859 (tptp.hAPP @t5872 @t5869))))) % 47.09/47.30 (assume @p4478 (forall (@list @t1144 @t5057 @t51 @t15) (= (tptp.hAPP @t5859 (tptp.hAPP @t5872 (tptp.hAPP @t5855 (tptp.c_List_Oupt @t1144 (tptp.hAPP @t1375 @t5058))))) (tptp.hAPP @t5859 (tptp.hAPP (tptp.c_List_Ofilter @t5857 (tptp.hAPP (tptp.hAPP @t5871 (tptp.hAPP @t5870 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5857 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 @t5857) @t1274) @t5856)) @t1144))) @t51)) @t5869))))) % 47.09/47.30 (assume @p4479 (forall @t1600 (= @t1913 @t5874))) % 47.09/47.30 (assume @p4480 (forall @t1600 (= @t5874 @t1913))) % 47.09/47.30 (assume @p4481 (forall @t1308 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5875)))) % 47.09/47.30 (assume @p4482 (forall @t564 (=> @t563 (= (tptp.c_List_Oupt @t559 @t1299) (tptp.hAPP @t5877 (tptp.c_List_Oupt @t561 @t1299)))))) % 47.09/47.30 (assume @p4483 (forall @t1308 (and @t5881 (=> (not @t563) (= @t5879 @t5878))))) % 47.09/47.30 (assume @p4484 (forall @t1308 @t5881)) % 47.09/47.30 (assume @p4485 (forall (@list @t561 @t559 @t488) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t488) @t5875) (tptp.c_List_Oupt @t1372 @t561)))) % 47.09/47.30 (assume @p4486 (forall @t1308 (=> @t874 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5875) @t559)))) % 47.09/47.30 (assume @p4487 (forall @t1308 (and @t5883 (=> (not @t874) @t5882)))) % 47.09/47.30 (assume @p4488 (forall @t1308 @t5883)) % 47.09/47.30 (assume @p4489 (forall @t3066 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t1372) @t369)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t488) (tptp.c_List_Oupt @t559 @t369)) (tptp.c_List_Oupt @t559 @t1372))))) % 47.09/47.30 (assume @p4490 (forall @t505 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t1938) @t5884))) % 47.09/47.30 (assume @p4491 (forall @t1307 (=> @t1820 @t5882))) % 47.09/47.30 (assume @p4492 (forall @t1600 (= (= @t5873 @t5878) (or (= @t1374 @t520) @t1805)))) % 47.09/47.30 (assume @p4493 (forall @t3039 (= (tptp.c_List_Oupt @t559 @t520) @t5878))) % 47.09/47.30 (assume @p4494 (forall @t1308 (= (tptp.hAPP @t5328 @t5875) @t1815))) % 47.09/47.30 (assume @p4495 (forall @t494 (and (=> @t5888 (= @t5887 (tptp.hAPP (tptp.hAPP @t5880 @t5886) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5886) @t5885)))) (=> (not @t5888) (= @t5887 @t5878))))) % 47.09/47.30 (assume @p4496 (forall (@list @t5057 @t47 @t1374 @t1144) (= (= @t5873 (tptp.hAPP (tptp.hAPP @t5880 @t47) @t5057)) (and (tptp.hBOOL (tptp.hAPP @t1379 @t1374)) (= @t1144 @t47) (= (tptp.c_List_Oupt (tptp.hAPP @t1375 @t1449) @t1374) @t5057))))) % 47.09/47.30 (assume @p4497 (forall @t1308 (=> @t874 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5875) (tptp.hAPP @t878 @t1449))))) % 47.09/47.30 (assume @p4498 (forall @t505 (= (tptp.hAPP @t5854 @t5884) (tptp.c_List_Oupt @t499 @t261)))) % 47.09/47.30 (assume @p4499 (forall @t501 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t260 @t496) (tptp.hAPP @t5317 (tptp.c_List_Oupt @t260 @t499))))) % 47.09/47.30 (assume @p4500 (forall @t555 (= @t1824 (tptp.hAPP @t5317 @t5889)))) % 47.09/47.30 (assume @p4501 (forall (@list @t561 @t558 @t559) (=> (tptp.hBOOL (tptp.hAPP @t1297 @t561)) (= (tptp.hAPP (tptp.hAPP @t5325 @t5875) @t558) @t1296)))) % 47.09/47.30 (assume @p4502 (forall @t501 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t260 @t496) (tptp.hAPP @t5317 (tptp.c_List_Oupt @t261 @t499))))) % 47.09/47.30 (assume @p4503 (forall @t501 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t260 @t496) (tptp.hAPP @t5317 (tptp.c_List_Oupt @t261 @t496))))) % 47.09/47.30 (assume @p4504 (forall @t555 (= @t2284 (tptp.hAPP @t5317 (tptp.c_List_Oupt @t520 @t261))))) % 47.09/47.30 (assume @p4505 (forall @t5241 (= (tptp.hAPP (tptp.hAPP @t5890 @t5190) @t5868) @t5057))) % 47.09/47.30 (assume @p4506 (forall @t1657 (=> @t834 (= @t5893 @t5891)))) % 47.09/47.30 (assume @p4507 (forall @t1657 (=> @t834 (= @t5891 @t5893)))) % 47.09/47.30 (assume @p4508 (forall (@list @t2 @t15 @t496 @t260 @t1144) (=> (tptp.hBOOL (tptp.hAPP @t1379 @t910)) (= (tptp.hAPP (tptp.hAPP @t5188 @t5892) @t1144) (tptp.hAPP @t2 (tptp.hAPP @t1277 @t1144)))))) % 47.09/47.30 (assume @p4509 (forall (@list @t260 @t15 @t5057) (=> (=> @t5895 @t554) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t2340 @t5804)) (= (tptp.hAPP @t5044 (tptp.hAPP @t5894 @t948)) @t260))) (= @t5844 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5327 @t4435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5234 (tptp.tc_fun @t5327 @t4435) tptp.tc_Nat_Onat) @t5890) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t15) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4435 @t5234 tptp.tc_Nat_Onat) @t5188) @t5894)))) (tptp.c_List_Oupt @t520 @t5804))) @t5889)))))) % 47.09/47.30 (assume @p4510 (forall (@list @t2 @t5057 @t290 @t15 @t71) (=> @t2722 (=> @t5295 (=> @t5897 (=> (= (tptp.hAPP @t5593 (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP (tptp.hAPP @t2464 (tptp.hAPP tptp.c_fequal @t397)) @t2)) @t5057)) @t290) (= (tptp.hAPP @t5644 @t5896) @t5057))))))) % 47.09/47.30 (assume @p4511 (forall @t1458 (=> @t99 (tptp.c_List_Olinorder__class_Osorted @t76 @t5407)))) % 47.09/47.30 (assume @p4512 (forall @t80 (=> @t99 (tptp.c_List_Olinorder__class_Osorted @t76 @t5432)))) % 47.09/47.30 (assume @p4513 (forall @t1308 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5875))) % 47.09/47.30 (assume @p4514 (forall @t5241 (=> @t720 (tptp.c_List_Olinorder__class_Osorted @t15 @t5801)))) % 47.09/47.30 (assume @p4515 (forall @t5143 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 @t5637) @t5898)))) % 47.09/47.30 (assume @p4516 (forall @t5085 (=> @t99 (=> @t5899 (tptp.c_List_Olinorder__class_Osorted @t76 @t5598))))) % 47.09/47.30 (assume @p4517 (forall @t5085 (=> @t99 (=> @t5414 (=> @t5899 (tptp.c_List_Olinorder__class_Osorted @t76 @t5335)))))) % 47.09/47.30 (assume @p4518 (forall @t5216 (=> @t99 (=> @t5899 (tptp.c_List_Olinorder__class_Osorted @t76 @t5214))))) % 47.09/47.30 (assume @p4519 (forall @t1308 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5381))) % 47.09/47.30 (assume @p4520 (forall (@list @t112 @t5047 @t76) (=> @t99 (=> @t5899 (tptp.c_List_Olinorder__class_Osorted @t76 (tptp.c_List_Oremove1 @t76 @t112 @t5047)))))) % 47.09/47.30 (assume @p4521 (forall @t5615 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5123 @t5900)) (and @t132 (tptp.c_List_Olinorder__class_Osorted @t15 @t5900)))))) % 47.09/47.30 (assume @p4522 (forall @t5402 (=> @t99 (=> @t98 (=> (tptp.c_List_Olinorder__class_Osorted @t76 @t5901) (tptp.c_List_Olinorder__class_Osorted @t76 (tptp.hAPP @t5106 @t5901))))))) % 47.09/47.30 (assume @p4523 (forall @t5216 (=> @t99 (=> @t5899 (tptp.c_List_Olinorder__class_Osorted @t76 @t5557))))) % 47.09/47.30 (assume @p4524 (forall @t5257 (=> @t720 (=> @t5898 (tptp.c_List_Olinorder__class_Osorted @t15 @t5650))))) % 47.09/47.30 (assume @p4525 (forall (@list @t666 @t76) (=> @t99 (=> (tptp.c_List_Olinorder__class_Osorted @t76 @t666) (tptp.c_List_Olinorder__class_Osorted @t76 (tptp.c_List_Oremdups @t76 @t666)))))) % 47.09/47.30 (assume @p4526 (forall @t5507 (=> @t720 (=> @t5898 (=> @t5376 (=> @t5903 (=> @t5538 @t5902))))))) % 47.09/47.30 (assume @p4527 (forall @t5678 (=> @t720 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 (tptp.c_List_Olinorder__class_Osort__key @t71 @t15 @t2 @t5057)))))) % 47.09/47.30 (assume @p4528 (forall @t5905 (=> @t720 (=> @t5904 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 @t5646)))))) % 47.09/47.30 (assume @p4529 (forall @t5905 (=> @t720 (=> @t5904 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 (tptp.c_List_Oremove1 @t71 @t47 @t5057))))))) % 47.09/47.30 (assume @p4530 (forall @t5906 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 @t5639)) @t5904)))) % 47.09/47.30 (assume @p4531 (forall @t5682 (=> @t720 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 (tptp.hAPP (tptp.c_List_Ofilter @t71 (tptp.hAPP (tptp.hAPP @t2457 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t54 @t71) tptp.c_fequal) @t2)) @t5907)) @t5057)))))) % 47.09/47.30 (assume @p4532 (forall (@list @t35 @t5057 @t2 @t71 @t15) (=> @t720 (=> @t5904 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5673 @t5909)))))) % 47.09/47.30 (assume @p4533 (forall (@list @t5057 @t1 @t15) (=> @t720 (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP (tptp.c_List_Ofilter @t15 (tptp.hAPP @t679 @t5907)) @t5057))))) % 47.09/47.30 (assume @p4534 (forall @t5143 (=> @t720 (= @t5911 (and @t5898 @t5910))))) % 47.09/47.30 (assume @p4535 (forall @t5507 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 @t5498) (and @t5898 @t5903 (forall @t7 (=> @t5263 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 @t5505)) @t424))))))))) % 47.09/47.30 (assume @p4536 (forall (@list @t47 @t35 @t5057 @t2 @t71 @t15) (=> @t720 (=> @t5904 (=> @t168 (= (tptp.hAPP @t5908 @t5639) (tptp.hAPP @t5634 @t5909))))))) % 47.09/47.30 (assume @p4537 (forall (@list @t278 @t277 @t15) (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 (tptp.hAPP @t5177 @t278)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t5226 @t278))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t277) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t15 @t278)))))) % 47.09/47.30 (assume @p4538 (forall @t170 (=> @t720 (=> @t928 (and (= (tptp.hAPP @t5226 @t5404) @t51) (tptp.c_List_Olinorder__class_Osorted @t15 @t5404) (tptp.hBOOL (tptp.hAPP @t5374 @t5404))))))) % 47.09/47.30 (assume @p4539 (forall @t5867 (=> @t720 (=> @t5295 (=> @t5898 (= (tptp.hAPP (tptp.hAPP @t5628 @t290) @t5896) @t5057)))))) % 47.09/47.30 (assume @p4540 (forall @t5241 (=> @t720 (= @t5898 (forall @t902 (=> @t5387 (forall @t952 (=> @t5912 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t130 @t5201) @t5386)))))))))) % 47.09/47.30 (assume @p4541 (forall @t5914 (=> @t99 (=> @t5899 (=> @t563 (=> @t5913 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t5217) @t5346)))))))) % 47.09/47.30 (assume @p4542 (forall @t5690 (=> @t2722 (=> @t5706 (=> @t5897 (=> (tptp.hBOOL (tptp.hAPP @t5709 @t5667)) (=> (tptp.c_List_Olinorder__class_Osorted @t71 @t5691) (=> (tptp.hBOOL (tptp.hAPP @t5709 @t5691)) @t5902)))))))) % 47.09/47.30 (assume @p4543 (forall @t5920 (=> @t5919 (=> @t5917 (= (tptp.hAPP @t5843 @t5916) @t5915))))) % 47.09/47.30 (assume @p4544 (forall @t5390 (=> @t5919 (=> @t5848 (=> (tptp.hBOOL (tptp.hAPP @t5389 (tptp.hAPP @t5803 @t5842))) (= (tptp.hAPP (tptp.hAPP @t5188 @t5846) @t1374) (tptp.hAPP (tptp.hAPP @t5188 (tptp.hAPP @t5894 @t1374)) @t1144))))))) % 47.09/47.30 (assume @p4545 (forall @t170 (tptp.c_Fun_Oinj__on @t4435 @t4435 @t5921 @t51))) % 47.09/47.30 (assume @p4546 (forall @t5241 (= (= @t5922 @t5408) @t5409))) % 47.09/47.30 (assume @p4547 (forall @t5241 (= (= @t5408 @t5922) @t5409))) % 47.09/47.30 (assume @p4548 (forall @t1458 (= (tptp.hAPP @t5923 @t5407) @t5407))) % 47.09/47.30 (assume @p4549 (forall @t5143 (= (= @t5438 @t5922) @t5924))) % 47.09/47.30 (assume @p4550 (forall @t5257 (= (= @t5922 @t5438) @t5924))) % 47.09/47.30 (assume @p4551 (forall @t5053 (= (tptp.hAPP @t5923 @t5493) (tptp.hAPP (tptp.hAPP @t5491 (tptp.hAPP @t5923 @t5046)) @t5925)))) % 47.09/47.30 (assume @p4552 (forall @t5241 (= (tptp.hBOOL (tptp.hAPP @t5374 @t5922)) @t5376))) % 47.09/47.30 (assume @p4553 (forall @t5241 (= (tptp.hAPP @t5921 @t5800) (tptp.c_List_Oconcat @t15 (tptp.hAPP (tptp.hAPP @t5714 @t5921) (tptp.hAPP (tptp.c_List_Orev @t4435) @t5057)))))) % 47.09/47.30 (assume @p4554 (forall @t5678 (= @t5928 (tptp.hAPP @t5673 @t5927)))) % 47.09/47.30 (assume @p4555 (forall @t5830 (= (tptp.hAPP @t5921 @t5824) (tptp.hAPP @t5823 @t5922)))) % 47.09/47.30 (assume @p4556 (forall @t5380 (=> (= @t5052 @t5279) (= (tptp.hAPP (tptp.hAPP @t5280 @t5925) (tptp.hAPP @t5921 @t5046)) (tptp.hAPP (tptp.c_List_Orev @t5283) @t5282))))) % 47.09/47.30 (assume @p4557 (forall @t5241 (= (tptp.hAPP @t5226 @t5922) @t5240))) % 47.09/47.30 (assume @p4558 (forall @t5085 (=> @t1260 (= (tptp.hAPP @t5321 @t5925) @t5322)))) % 47.09/47.30 (assume @p4559 (forall @t5507 (= (= @t5922 @t5929) @t5160))) % 47.09/47.30 (assume @p4560 (forall @t5507 (= (= @t5922 @t5054) (= @t5057 @t5929)))) % 47.09/47.30 (assume @p4561 (forall @t5085 (= (tptp.hAPP @t5923 @t5925) @t5047))) % 47.09/47.30 (assume @p4562 (forall @t5085 (= (tptp.hAPP @t5050 @t5925) @t5052))) % 47.09/47.30 (assume @p4563 (forall @t5770 (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5922 @t5054) (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5057 @t5930)))) % 47.09/47.30 (assume @p4564 (forall @t5770 (= (tptp.c_List_Olist__all2 @t15 @t71 @t35 @t5922 @t5930) @t5769))) % 47.09/47.30 (assume @p4565 (forall (@list @t5057 @t290 @t2 @t71 @t15) (= @t5618 (tptp.c_List_Ofoldr @t71 @t15 (tptp.hAPP (tptp.c_COMBC @t15 @t71 @t15) @t2) @t5927 @t290)))) % 47.09/47.30 (assume @p4566 (forall (@list @t290 @t5057 @t2 @t15 @t71) (= @t5864 (tptp.hAPP (tptp.c_List_Ofoldl @t15 @t71 (tptp.hAPP @t1668 @t2) @t290) @t5927)))) % 47.09/47.30 (assume @p4567 (forall @t5116 (= (tptp.hAPP @t5923 @t5115) (tptp.hAPP (tptp.hAPP @t5491 @t5925) @t5432)))) % 47.09/47.30 (assume @p4568 (forall (@list @t5054 @t128 @t5057 @t15) (= (= @t5922 @t5122) (= @t5057 (tptp.hAPP (tptp.hAPP @t5478 @t5929) @t5480))))) % 47.09/47.30 (assume @p4569 (forall @t5415 (=> @t5414 (= (tptp.c_List_Olast @t76 @t5925) @t5589)))) % 47.09/47.30 (assume @p4570 (forall @t5415 (=> @t5414 (= (tptp.hAPP @t5586 @t5925) @t5651)))) % 47.09/47.30 (assume @p4571 (forall @t5241 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5918 (tptp.hAPP @t5798 @t5844))))) % 47.09/47.30 (assume @p4572 (forall @t5241 (= @t5922 (tptp.hAPP (tptp.c_List_Ofoldl @t4435 @t15 @t5448 @t5408) @t5057)))) % 47.09/47.30 (assume @p4573 (forall @t5932 (= (tptp.hAPP @t5923 @t5560) (tptp.hAPP (tptp.hAPP @t5212 @t5931) @t5925)))) % 47.09/47.30 (assume @p4574 (forall @t5932 (= (tptp.hAPP @t5923 @t5383) (tptp.hAPP (tptp.hAPP @t5554 @t5931) @t5925)))) % 47.09/47.30 (assume @p4575 (forall @t5223 (= (tptp.hAPP @t5601 @t5925) (tptp.hAPP @t5923 (tptp.hAPP (tptp.c_List_Orotate @t76 (tptp.hAPP @t5337 @t5600)) @t5047))))) % 47.09/47.30 (assume @p4576 (forall @t5332 (=> @t5336 (= (tptp.hAPP (tptp.hAPP @t5197 @t5925) @t369) (tptp.hAPP @t5198 (tptp.hAPP @t5337 @t370)))))) % 47.09/47.30 (assume @p4577 (forall (@list @t95 @t5047 @t76 @t558) (=> (tptp.hBOOL (tptp.hAPP @t1292 @t5052)) (= (tptp.hAPP @t5923 (tptp.hAPP @t5369 @t95)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t76 @t5925) (tptp.hAPP (tptp.hAPP @t643 (tptp.hAPP @t5337 @t558)) @t1449)) @t95))))) % 47.09/47.30 (assume @p4578 (forall @t5914 (=> @t99 (=> (tptp.c_List_Olinorder__class_Osorted @t76 @t5925) (=> @t563 (=> @t5913 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t5346) @t5217)))))))) % 47.09/47.30 (assume @p4579 (forall @t5849 (=> @t720 (=> (tptp.c_List_Olinorder__class_Osorted @t15 @t5922) (and (=> @t5409 (= @t5933 @t128)) (=> @t5431 (= @t5933 (tptp.hAPP (tptp.hAPP @t2771 (tptp.hAPP @t5190 @t520)) @t128)))))))) % 47.09/47.30 (assume @p4580 (forall @t5241 (=> @t5919 (and (=> @t5895 (= @t5847 @t520)) (=> (not @t5895) (= @t5847 (tptp.hAPP @t5044 (tptp.hAPP @t5894 @t520)))))))) % 47.09/47.30 (assume @p4581 (forall @t5920 (=> @t5919 (=> @t5917 (= (tptp.hAPP @t5803 @t5916) (tptp.hAPP @t5044 @t5915)))))) % 47.09/47.30 (assume @p4582 (forall @t5241 (=> @t5919 (= (tptp.c_List_Otranspose @t15 @t5844) (tptp.c_List_OtakeWhile @t4435 @t5817 @t5057))))) % 47.09/47.30 (assume @p4583 (= @t5878 (tptp.c_List_Oreturn__list @t5419))) % 47.09/47.30 (assume @p4584 (forall @t5265 (=> @t720 (=> @t5898 (tptp.c_List_Olinorder__class_Osorted @t15 @t5934))))) % 47.09/47.30 (assume @p4585 (forall @t5830 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5935) @t5058)))) % 47.09/47.30 (assume @p4586 (forall (@list @t5057 @t35 @t47 @t15) (=> (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 @t5934))) (and @t5245 @t168)))) % 47.09/47.30 (assume @p4587 (forall @t5830 (= (= @t5934 @t5057) @t5264))) % 47.09/47.30 (assume @p4588 (forall @t5770 (= (tptp.hAPP (tptp.hAPP @t5288 @t5934) @t5054) (tptp.c_List_OtakeWhile @t2508 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 tptp.tc_HOL_Obool @t2508 @t35) @t4128) @t5290)))) % 47.09/47.30 (assume @p4589 (forall (@list @t5054 @t35 @t5057 @t71 @t15) (= (tptp.hAPP @t5289 (tptp.c_List_OtakeWhile @t71 @t35 @t5054)) (tptp.c_List_OtakeWhile @t2508 (tptp.hAPP (tptp.c_Fun_Ocomp @t71 tptp.tc_HOL_Obool @t2508 @t35) @t4127) @t5290)))) % 47.09/47.30 (assume @p4590 (forall @t5828 (= (tptp.c_List_OtakeWhile @t15 @t35 @t5674) (tptp.hAPP @t5673 (tptp.c_List_OtakeWhile @t71 @t5825 @t5057))))) % 47.09/47.30 (assume @p4591 (forall @t5265 (=> @t5376 (tptp.hBOOL (tptp.hAPP @t5374 @t5934))))) % 47.09/47.30 (assume @p4592 (forall (@list @t1490 @t5057 @t15 @t47 @t35) (=> @t5829 (= (tptp.c_List_OtakeWhile @t15 @t35 (tptp.hAPP @t5483 @t5479)) @t5934)))) % 47.09/47.30 (assume @p4593 (forall @t5835 (and (=> @t168 (= @t5936 (tptp.hAPP @t5123 @t5934))) (=> @t5829 (= @t5936 @t5408))))) % 47.09/47.30 (assume @p4594 (forall @t5830 (= @t5934 (tptp.hAPP (tptp.hAPP @t5210 @t5935) @t5057)))) % 47.09/47.30 (assume @p4595 (forall @t376 (= (tptp.c_List_OtakeWhile @t15 @t35 @t5408) @t5408))) % 47.09/47.30 (assume @p4596 (forall @t3751 (= (tptp.c_List_Oreturn__list @t1490) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1490)))) % 47.09/47.30 (assume @p4597 (forall @t5938 (=> @t5245 (=> @t5829 (= @t5937 @t5934))))) % 47.09/47.30 (assume @p4598 (forall @t5830 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 @t5935) @t5058)) (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t5190 @t5935))))))) % 47.09/47.30 (assume @p4599 (forall @t5939 (=> (tptp.hBOOL (tptp.hAPP @t5389 @t5935)) (= (tptp.hAPP (tptp.hAPP @t5188 @t5934) @t1374) @t5388)))) % 47.09/47.30 (assume @p4600 (forall @t5595 (=> @t5431 (=> @t5376 (= (tptp.c_List_OtakeWhile @t15 (tptp.hAPP @t792 (tptp.hAPP @t679 @t5666)) @t5057) @t5333))))) % 47.09/47.30 (assume @p4601 (forall (@list @t393 @t5057 @t2 @t71 @t15) (=> @t720 (=> (tptp.c_List_Olinorder__class_Osorted @t15 @t5928) (= (tptp.hAPP (tptp.c_List_Ofilter @t71 @t5941) @t5057) (tptp.c_List_OtakeWhile @t71 @t5941 @t5057)))))) % 47.09/47.30 (assume @p4602 (forall @t3637 (=> (tptp.c_List_Onat__list @t666) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t666)) @t666)))) % 47.09/47.30 (assume @p4603 (forall (@list @t488 @t666) (= (tptp.hAPP (tptp.hAPP @t5876 @t666) @t488) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t666)) (tptp.c_List_Oembed__list @t488)))))) % 47.09/47.30 (assume @p4604 (forall @t3751 (= (tptp.c_List_Oembed__list @t1490) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t1871) @t1490)))) % 47.09/47.30 (assume @p4605 (forall @t5257 (=> @t5376 (=> @t5245 (= (tptp.c_List_OtakeWhile @t15 @t5942 @t5922) (tptp.hAPP @t5921 (tptp.hAPP @t5610 (tptp.c_List_OdropWhile @t15 @t5942 @t5057)))))))) % 47.09/47.30 (assume @p4606 (forall @t5257 (=> @t5376 (=> @t5245 (= (tptp.c_List_OdropWhile @t15 @t5942 @t5922) (tptp.hAPP @t5123 (tptp.hAPP @t5921 (tptp.c_List_OtakeWhile @t15 @t5942 @t5057)))))))) % 47.09/47.30 (assume @p4607 (forall @t5830 (= (tptp.hAPP @t5944 @t5943) @t5057))) % 47.09/47.30 (assume @p4608 (forall @t5265 (=> @t720 (=> @t5898 (tptp.c_List_Olinorder__class_Osorted @t15 @t5943))))) % 47.09/47.30 (assume @p4609 (forall @t5830 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t489 @t5945) @t5058)))) % 47.09/47.30 (assume @p4610 (forall @t5830 (=> (not @t5946) (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t5593 @t5943))))))) % 47.09/47.30 (assume @p4611 (forall @t5830 (= @t5946 @t5264))) % 47.09/47.30 (assume @p4612 (forall @t5265 (=> @t5376 (tptp.hBOOL (tptp.hAPP @t5374 @t5943))))) % 47.09/47.30 (assume @p4613 (forall @t5835 (and (=> @t168 (= @t5947 @t5943)) (=> @t5829 (= @t5947 @t5124))))) % 47.09/47.30 (assume @p4614 (forall @t376 (= (tptp.c_List_OdropWhile @t15 @t35 @t5408) @t5408))) % 47.09/47.30 (assume @p4615 (forall @t5828 (= (tptp.c_List_OdropWhile @t15 @t35 @t5674) (tptp.hAPP @t5673 (tptp.c_List_OdropWhile @t71 @t5825 @t5057))))) % 47.09/47.30 (assume @p4616 (forall @t5938 (=> @t5245 (=> @t5829 (= @t5948 (tptp.hAPP (tptp.hAPP @t5478 @t5943) @t5054)))))) % 47.09/47.30 (assume @p4617 (forall (@list @t5054 @t128 @t5057 @t35 @t15) (= (= @t5943 @t5122) (and (= @t5057 (tptp.hAPP @t5944 @t5122)) (not @t4610))))) % 47.09/47.30 (assume @p4618 (forall @t5830 (= @t5943 (tptp.hAPP (tptp.hAPP @t5561 @t5935) @t5057)))) % 47.09/47.30 (assume @p4619 (forall @t5939 (=> (tptp.hBOOL (tptp.hAPP @t5389 @t5945)) (= (tptp.hAPP (tptp.hAPP @t5188 @t5943) @t1374) (tptp.hAPP @t5190 (tptp.hAPP @t1658 @t5935)))))) % 47.09/47.30 (assume @p4620 (forall (@list @t2 @t35 @t5057 @t15 @t71) (=> @t5748 (=> (forall @t7 (=> @t5263 (=> @t2399 @t1155))) (= (tptp.hAPP @t5710 (tptp.hAPP @t5664 @t5824)) @t5711))))) % 47.09/47.30 (assume @p4621 (forall @t5085 (=> @t99 (=> (forall @t3289 (=> @t5912 (=> (tptp.hBOOL (tptp.hAPP @t901 @t5052)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t5341) (tptp.hAPP @t5198 @t900)))))) @t5899)))) % 47.09/47.30 (assume @p4622 (forall @t5830 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 (tptp.hAPP @t5226 @t5943))) @t2399)) (= @t5934 @t5824)))) % 47.09/47.30 (assume @p4623 (forall @t5950 (=> (forall @t952 (=> @t2341 @t5261)) (=> (=> @t5272 (not @t5949)) (= @t5934 @t5242))))) % 47.09/47.30 (assume @p4624 (forall (@list @t5057 @t15 @t35 @t1374) (=> (forall @t952 (=> (tptp.hBOOL (tptp.hAPP @t2340 @t1374)) @t5260)) (=> (tptp.hBOOL (tptp.hAPP @t1392 @t5058)) (tptp.hBOOL (tptp.hAPP @t1392 @t5935)))))) % 47.09/47.30 (assume @p4625 (forall @t292 (=> @t720 (= (tptp.c_List_Olinorder__class_Osorted @t15 @t290) (or @t5661 (exists (@list @t5179 @t3) (and (= @t290 @t5181) (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 (tptp.hAPP @t5226 @t5179))) @t424)) (tptp.c_List_Olinorder__class_Osorted @t15 @t5179)))))))) % 47.09/47.30 (assume @p4626 (forall @t5906 (=> (tptp.c_Fun_Oinj__on @t15 @t71 @t2 @t5247) @t5953))) % 47.09/47.30 (assume @p4627 (forall @t5143 (and @t5956 @t5955))) % 47.09/47.30 (assume @p4628 (forall @t5494 (= (tptp.hAPP @t5957 @t5493) (tptp.hAPP (tptp.hAPP @t5491 @t5958) (tptp.hAPP @t5957 @t5046))))) % 47.09/47.30 (assume @p4629 (forall @t5143 (=> @t5252 (= @t5952 @t5057)))) % 47.09/47.30 (assume @p4630 (forall @t5116 (= (tptp.c_List_Oinsert @t76 @t75 @t5780) (tptp.c_List_Oremdups @t76 @t5959)))) % 47.09/47.30 (assume @p4631 (forall @t5835 (=> @t5829 (= (tptp.hAPP @t5951 @t5824) @t5824)))) % 47.09/47.30 (assume @p4632 (forall @t324 (= @t5951 (tptp.c_List_Ofilter @t15 (tptp.hAPP @t792 @t677))))) % 47.09/47.30 (assume @p4633 (forall @t5397 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5959))))) % 47.09/47.30 (assume @p4634 (forall @t5397 (=> @t5378 (tptp.hBOOL (tptp.hAPP @t5377 @t5958))))) % 47.09/47.30 (assume @p4635 (forall @t5400 (and (=> @t107 (= @t5960 @t5958)) (=> @t727 (= @t5960 (tptp.hAPP @t5354 @t5958)))))) % 47.09/47.30 (assume @p4636 (forall @t80 (= (tptp.hAPP @t5957 @t5407) @t5407))) % 47.09/47.30 (assume @p4637 (forall @t5397 (=> @t5378 (= @t5396 @t5958)))) % 47.09/47.30 (assume @p4638 (forall @t5143 @t5956)) % 47.09/47.30 (assume @p4639 (forall @t5143 (= (tptp.hAPP @t5226 @t5954) @t5247))) % 47.09/47.30 (assume @p4640 (forall @t80 (= (tptp.c_List_Oinsert @t76 @t75 @t5407) @t5432))) % 47.09/47.30 (assume @p4641 (forall @t5906 (=> @t2531 @t5953))) % 47.09/47.30 (assume @p4642 (forall @t5143 (= (tptp.hAPP @t5226 @t5952) @t5393))) % 47.09/47.30 (assume @p4643 (forall @t5143 @t5955)) % 47.09/47.30 (assume @p4644 (forall @t5676 (= @t5962 @t5961))) % 47.09/47.30 (assume @p4645 (forall @t5678 (= @t5961 @t5962))) % 47.09/47.30 (assume @p4646 (forall @t407 (= (tptp.c_List_Omaps @t71 @t15 @t2 @t5464) @t5408))) % 47.09/47.30 (assume @p4647 (forall @t5642 (= (tptp.c_List_Omaps @t71 @t15 @t2 @t5617) (tptp.hAPP (tptp.hAPP @t5478 @t69) @t5962)))) % 47.09/47.30 (assume @p4648 (forall @t5241 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4435) @t5057)) (=> (forall @t5968 (=> @t5967 (tptp.hBOOL (tptp.hAPP @t5374 @t5173)))) (=> (forall @t5968 (=> @t5967 (forall @t5966 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5128 @t5963) @t5799)) (=> (not (= @t5173 @t5963)) (= (tptp.hAPP (tptp.hAPP @t962 @t5965) @t5964) @t289)))))) (tptp.hBOOL (tptp.hAPP @t5374 @t5800))))))) % 47.09/47.30 (assume @p4649 (forall @t5974 (=> @t4230 (=> @t5973 @t5971)))) % 47.09/47.30 (assume @p4650 (forall @t5975 (tptp.c_Wellfounded_Owf @t15 @t5972))) % 47.09/47.30 (assume @p4651 (forall @t138 (not (tptp.hBOOL (tptp.hAPP @t4118 (tptp.c_List_Omeasures @t15 (tptp.c_List_Olist_ONil @t5970))))))) % 47.09/47.30 (assume @p4652 (forall @t5975 (= @t5972 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5327 @t15) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t5976 @t5327) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5970 tptp.tc_Nat_Onat) (tptp.tc_fun @t5976 @t5327) @t15) (tptp.c_List_Omap @t5970 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5970 @t15 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5970)))) @t5969))))) % 47.09/47.30 (assume @p4653 (forall (@list @t5969 @t2 @t128 @t47 @t15) (= @t5971 (or @t4114 (and @t843 @t5973))))) % 47.09/47.30 (assume @p4654 (forall @t5974 (=> @t4114 @t5971))) % 47.09/47.30 (assume @p4655 (forall (@list @t543 @t1 @t899 @t2 @t71 @t184 @t5057 @t15) (=> (forall @t7 (=> @t5263 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t184 @t184 @t71 @t5) @t899) (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t184 @t71 @t899) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t184 @t15 (tptp.hAPP (tptp.c_COMBC @t15 @t184 @t184) @t2) (tptp.hAPP @t899 @t543)) @t5057) (tptp.hAPP @t899 (tptp.hAPP (tptp.c_List_Ofoldl @t71 @t15 (tptp.hAPP @t1038 @t1) @t543) @t5057)))))) % 47.09/47.30 (assume @p4656 (forall (@list @t35 @t5054 @t71 @t5057 @t15) (=> (=> (= (tptp.hAPP @t5044 @t5978) (tptp.hAPP @t5301 @t5977)) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t5288 @t5978) @t5977)))) (tptp.hBOOL (tptp.hAPP @t35 @t5290))))) % 47.09/47.30 (assume @p4657 (forall (@list @t5979 @t5980 @t5981 @t387) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t387 @t5981 @t5980 @t5979) (tptp.c_New__DSequence_Opos__not__seq @t5982)))) % 47.09/47.30 (assume @p4658 (forall @t5983 (=> @t5264 (= @t5948 (tptp.c_List_OdropWhile @t15 @t35 @t5054))))) % 47.09/47.30 (assume @p4659 (forall (@list @t35 @t294 @t71 @t290 @t15) (=> @t5778 (=> (forall @t432 (=> (tptp.hBOOL (tptp.hAPP @t5193 @t5777)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t5188 @t290) @t429)) (tptp.hAPP (tptp.hAPP @t5304 @t294) @t429))))) @t5772)))) % 47.09/47.30 (assume @p4660 (forall @t170 (=> @t720 (=> @t928 (exists @t7 (and (= (tptp.hAPP @t5226 @t3) @t51) (tptp.c_List_Olinorder__class_Osorted @t15 @t3) (tptp.hBOOL (tptp.hAPP @t5374 @t3)) (forall @t2461 (=> (and (= (tptp.hAPP @t5226 @t783) @t51) (tptp.c_List_Olinorder__class_Osorted @t15 @t783) (tptp.hBOOL (tptp.hAPP @t5374 @t783))) @t2542)))))))) % 47.09/47.30 (assume @p4661 (forall @t5983 (=> @t5264 (= @t5937 (tptp.hAPP @t5483 (tptp.c_List_OtakeWhile @t15 @t35 @t5054)))))) % 47.09/47.30 (assume @p4662 (forall (@list @t290 @t2 @t5057 @t15 @t71) (=> @t2722 (=> (forall @t7 (=> @t5263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t212 @t397) @t5)))) (= @t5645 (tptp.hAPP @t5110 @t5057)))))) % 47.09/47.30 (assume @p4663 (forall @t5938 (= (= @t5124 @t5837) @t5984))) % 47.09/47.30 (assume @p4664 (forall (@list @t5057 @t47 @t5054 @t35 @t15) (= (= @t5837 @t5124) @t5984))) % 47.09/47.30 (assume @p4665 (forall @t5950 (=> @t5272 (=> @t5264 @t5949)))) % 47.09/47.30 (assume @p4666 (forall @t5257 (=> @t720 (=> @t5910 (=> @t5898 @t5911))))) % 47.09/47.30 (assume @p4667 (forall @t5830 (= @t5986 (exists @t432 (and @t5194 @t5985))))) % 47.09/47.30 (assume @p4668 (forall @t5143 (= @t5245 (exists @t5968 (and (exists @t5966 @t5987) (not (tptp.hBOOL (tptp.hAPP @t323 @t5965)))))))) % 47.09/47.30 (assume @p4669 (forall @t5765 (= (tptp.c_List_Olist__ex @t15 @t35 @t5124) (or @t168 @t5986)))) % 47.09/47.30 (assume @p4670 (forall @t5830 (= (tptp.c_List_Olist__ex @t15 @t35 @t5922) @t5986))) % 47.09/47.30 (assume @p4671 (forall @t5830 (= @t5986 @t5988))) % 47.09/47.30 (assume @p4672 (forall @t5838 (= (tptp.c_List_Olist__ex @t15 @t35 @t5498) (or @t5986 (tptp.c_List_Olist__ex @t15 @t35 @t5054))))) % 47.09/47.30 (assume @p4673 (forall @t376 (not (tptp.c_List_Olist__ex @t15 @t35 @t5408)))) % 47.09/47.30 (assume @p4674 (forall @t5143 (= @t5245 (exists @t5989 @t5987)))) % 47.09/47.30 (assume @p4675 (forall @t5143 (= @t5245 (exists @t5989 (and @t5987 (not (tptp.hBOOL (tptp.hAPP @t323 @t5964)))))))) % 47.09/47.30 (assume @p4676 (forall @t5830 (= @t5990 (forall @t432 (=> @t5194 @t5985))))) % 47.09/47.30 (assume @p4677 (forall (@list @t35 @t1062 @t15) (=> @t1064 (=> @t1162 (=> (forall (@list @t3 @t1194) (=> @t1196 (=> (not (tptp.hBOOL (tptp.hAPP @t174 @t1194))) (=> @t1195 (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t784 @t1194))))))) @t1193))))) % 47.09/47.30 (assume @p4678 (forall @t5765 (= (tptp.c_List_Olist__all @t15 @t35 @t5124) (and @t168 @t5990)))) % 47.09/47.30 (assume @p4679 (forall @t5830 (= (tptp.c_List_Olist__all @t15 @t35 @t5922) @t5990))) % 47.09/47.30 (assume @p4680 (forall @t5830 (= @t5990 @t5264))) % 47.09/47.30 (assume @p4681 (forall @t5838 (= (tptp.c_List_Olist__all @t15 @t35 @t5498) (and @t5990 (tptp.c_List_Olist__all @t15 @t35 @t5054))))) % 47.09/47.30 (assume @p4682 (forall @t376 (tptp.c_List_Olist__all @t15 @t35 @t5408))) % 47.09/47.30 (assume @p4683 (forall @t5265 (= @t5264 @t5990))) % 47.09/47.30 (assume @p4684 (forall @t5765 (= (tptp.c_List_Olist__ex1 @t15 @t35 @t5124) (and (=> @t168 (tptp.c_List_Olist__all @t15 (tptp.hAPP (tptp.hAPP @t810 (tptp.hAPP @t2404 @t2540)) @t677) @t5057)) (=> @t5829 @t5991))))) % 47.09/47.30 (assume @p4685 (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) @t2289))) % 47.09/47.30 (assume @p4686 (forall @t376 (not (tptp.c_List_Olist__ex1 @t15 @t35 @t5408)))) % 47.09/47.30 (assume @p4687 (forall @t433 @t5992)) % 47.09/47.30 (assume @p4688 (forall @t292 (tptp.c_FunDef_Ois__measure @t15 @t290))) % 47.09/47.30 (assume @p4689 (forall @t594 (=> (tptp.class_Nat_Osize @t15) (tptp.c_FunDef_Ois__measure @t15 (tptp.c_Nat_Osize__class_Osize @t15))))) % 47.09/47.30 (assume @p4690 (forall @t5993 (=> @t5992 (tptp.c_FunDef_Ois__measure @t3429 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 tptp.tc_Nat_Onat @t3429) @t2) @t4095))))) % 47.09/47.30 (assume @p4691 (forall @t5993 (=> @t5992 (tptp.c_FunDef_Ois__measure @t2508 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 tptp.tc_Nat_Onat @t2508) @t2) @t4128))))) % 47.09/47.30 (assume @p4692 (forall @t5830 (= @t5991 (exists @t7 (and @t5263 @t172 (forall @t2461 (=> (and (tptp.hBOOL (tptp.hAPP @t3433 @t5240)) @t2460) @t2542))))))) % 47.09/47.30 (assume @p4693 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1871 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 47.09/47.30 (assume @p4694 (forall @t6000 (and (=> @t5998 (= @t5997 (tptp.c_Lazy__Sequence_Ohit__bound @t15))) (=> @t5999 (= @t5997 (tptp.c_Lazy__Sequence_Ohb__bind @t71 @t15 @t5996 @t5995)))))) % 47.09/47.30 (assume @p4695 (= (tptp.hAPP @t6001 tptp.c_fTrue) @t520)) % 47.09/47.30 (assume @p4696 (= (tptp.hAPP @t6001 tptp.c_fFalse) @t520)) % 47.09/47.30 (assume @p4697 (forall @t6006 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t71 @t15 @t387 @t2 @t5981 @t5980 @t5979) (tptp.c_New__DSequence_Oneg__decr__bind @t71 @t15 @t5982 @t6005)))) % 47.09/47.30 (assume @p4698 (forall @t6008 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t71 @t15 @t47 @t2) @t1144) (tptp.c_Lazy__Sequence_Ohb__bind @t71 @t15 @t6007 @t5995)))) % 47.09/47.30 (assume @p4699 (forall @t6006 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t71 @t15 @t387 @t2) @t5981) @t5980) @t5979) (tptp.c_New__DSequence_Oneg__bind @t71 @t15 @t5982 @t6005)))) % 47.09/47.30 (assume @p4700 (forall @t6000 (and (=> @t5998 (= @t6011 (tptp.c_Lazy__Sequence_Oempty @t15))) (=> @t5999 (= @t6011 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t71 @t15 @t5996) @t6010)))))) % 47.09/47.30 (assume @p4701 (forall @t6006 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t71 @t15 @t387 @t2 @t5981 @t5980 @t5979) (tptp.c_New__DSequence_Opos__decr__bind @t71 @t15 @t5982 @t6015)))) % 47.09/47.30 (assume @p4702 (forall (@list @t6016 @t76) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t76) @t6016) (tptp.c_Lazy__Sequence_Oempty @t76)))) % 47.09/47.30 (assume @p4703 (forall (@list @t5979 @t5980 @t5981 @t15) (= (tptp.c_New__Random__Sequence_Opos__empty @t15 @t5981 @t5980 @t5979) (tptp.c_New__DSequence_Opos__empty @t15)))) % 47.09/47.30 (assume @p4704 (forall @t6008 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t71 @t15 @t47 @t2) @t1144) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t71 @t15 @t6007) @t6010)))) % 47.09/47.30 (assume @p4705 (forall @t6006 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t71 @t15 @t387 @t2) @t5981) @t5980) @t5979) (tptp.c_New__DSequence_Opos__bind @t71 @t15 @t5982 @t6015)))) % 47.09/47.30 (assume @p4706 (forall @t6018 (= (tptp.c_New__Random__Sequence_Oneg__map @t71 @t15 @t2 @t35) (tptp.c_New__Random__Sequence_Oneg__bind @t71 @t15 @t35 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6004) @t71 @t6017) @t2))))) % 47.09/47.30 (assume @p4707 (forall @t6019 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6017 @t47) @t5981) @t5980) @t5979) (tptp.c_New__DSequence_Oneg__single @t15 @t47)))) % 47.09/47.30 (assume @p4708 (forall @t6018 (= (tptp.c_New__Random__Sequence_Opos__map @t71 @t15 @t2 @t35) (tptp.c_New__Random__Sequence_Opos__bind @t71 @t15 @t35 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6014) @t71 @t6020) @t2))))) % 47.09/47.30 (assume @p4709 (forall @t6021 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t76 @t75) @t6016) (tptp.c_Lazy__Sequence_Ohb__single @t76 @t75)))) % 47.09/47.30 (assume @p4710 (forall @t6019 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6020 @t47) @t5981) @t5980) @t5979) (tptp.c_New__DSequence_Opos__single @t15 @t47)))) % 47.09/47.30 (assume @p4711 (forall @t6021 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t76 @t75) @t6016) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t76) @t75)))) % 47.09/47.30 (assume @p4712 (forall @t5053 (= (tptp.hAPP @t5050 @t6022) @t5513))) % 47.09/47.30 (assume @p4713 (forall (@list @t5046 @t95 @t5047 @t75 @t76) (= (tptp.c_List_Osplice @t76 @t5115 @t5527) (tptp.hAPP @t5106 (tptp.hAPP @t5354 @t6022))))) % 47.09/47.30 (assume @p4714 (forall @t5519 (= (tptp.c_List_Osplice @t76 @t5407 @t5046) @t5046))) % 47.09/47.30 (assume @p4715 (forall @t5085 (= (tptp.c_List_Osplice @t76 @t5047 @t5407) @t5047))) % 47.09/47.30 (assume @p4716 (forall (@list @t6023 @t1790 @t76) (= (tptp.c_List_Osplice @t76 @t6024 @t5407) @t6024))) % 47.09/47.30 (assume @p4717 (forall (@list @t546 @t548 @t71 @t15) (= (tptp.c_Lazy__Sequence_Oproduct @t15 @t71 @t548 @t546) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t15 @t2508 @t548) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6026 @t6025 @t15) (tptp.c_Lazy__Sequence_Obind @t71 @t2508 @t546)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3853 @t6026 @t15) (tptp.hAPP (tptp.c_COMBB @t2508 @t6025 @t71) (tptp.c_Lazy__Sequence_Osingle @t2508))) @t3849)))))) % 47.09/47.30 (assume @p4718 (forall @t3406 (= (tptp.c_Wellfounded_Oacyclic @t15 (tptp.hAPP @t4161 (tptp.hAPP @t4160 (tptp.c_Predicate_Oconversep @t15 @t15 @t1667)))) @t4606))) % 47.09/47.30 (assume @p4719 (forall @t4800 (= (tptp.c_Predicate_Oconversep @t71 @t15 (tptp.c_Predicate_Opred__comp @t71 @t184 @t15 @t1667 @t543)) (tptp.c_Predicate_Opred__comp @t15 @t184 @t71 (tptp.c_Predicate_Oconversep @t184 @t15 @t543) (tptp.c_Predicate_Oconversep @t71 @t184 @t1667))))) % 47.09/47.30 (assume @p4720 (forall @t138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t15 @t15 (tptp.hAPP (tptp.hAPP @t3408 @t792) tptp.c_fequal)) @t47) @t128)) @t719))) % 47.09/47.30 (assume @p4721 (forall @t594 (= (tptp.c_Predicate_Oconversep @t15 @t15 tptp.c_fequal) tptp.c_fequal))) % 47.09/47.30 (assume @p4722 (forall @t4464 (= (tptp.c_Predicate_Oconversep @t71 @t15 @t6027) @t1667))) % 47.09/47.30 (assume @p4723 (forall @t6030 (= @t6029 @t6028))) % 47.09/47.30 (assume @p4724 (forall (@list @t278 @t277 @t1667 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6027 @t277) @t278)) @t5176))) % 47.09/47.30 (assume @p4725 (forall @t4470 (=> @t4106 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6027 @t294) @t290))))) % 47.09/47.30 (assume @p4726 (forall @t6030 (=> @t6029 @t6028))) % 47.09/47.30 (assume @p4727 (forall @t4795 (= (tptp.c_Predicate_Oconversep @t71 @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2585) @t1667) @t543)) (tptp.hAPP (tptp.hAPP @t3866 @t6032) @t6031)))) % 47.09/47.30 (assume @p4728 (forall @t4795 (= (tptp.c_Predicate_Oconversep @t71 @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2585) @t1667) @t543)) (tptp.hAPP (tptp.hAPP @t3863 @t6032) @t6031)))) % 47.09/47.30 (assume @p4729 (forall (@list @t128 @t47 @t1667 @t71 @t15) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t15 @t71 @t4401) @t47) @t128)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3876 @t4140) @t4801))))) % 47.09/47.30 (assume @p4730 (forall (@list @t345 @t15) (=> @t6036 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4435 @t345) (tptp.c_Lazy__Sequence_Oappend @t4435 (tptp.hAPP @t6033 @t5408) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t6034) @t2184) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t5097 @t4435 (tptp.c_Lazy__Sequence_Oproduct @t15 @t4435 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t15 @t6035) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4435 @t6035))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t15 @t4435 @t6034) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5130 (tptp.tc_fun @t4435 @t6034) @t15) (tptp.hAPP (tptp.c_COMBB @t4435 @t6034 @t4435) @t6033)) @t5095)))) (tptp.c_Lazy__Sequence_Oempty @t4435))))))) % 47.09/47.30 (assume @p4731 (forall @t6038 (=> @t854 (= (tptp.hAPP @t5597 @t6037) (tptp.c_List_Oreplicate @t76 @t1481 @t75))))) % 47.09/47.30 (assume @p4732 (forall (@list @t193 @t15 @t76) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t76) @t6036) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5283 @t193) (tptp.c_Lazy__Sequence_Oproduct @t76 @t15 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t76 @t193) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t15 @t193)))))) % 47.09/47.30 (assume @p4733 (forall @t5143 (= (tptp.c_List_Oreplicate @t15 (tptp.hAPP @t5044 @t6039) @t47) @t6039))) % 47.09/47.30 (assume @p4734 (forall @t6040 (= (tptp.hAPP @t5050 @t6037) @t369))) % 47.09/47.30 (assume @p4735 (forall (@list @t6041 @t469 @t15 @t71) (= (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP @t879 @t469)) @t6041) (tptp.c_List_Oreplicate @t15 (tptp.hAPP @t5301 @t6041) @t469)))) % 47.09/47.30 (assume @p4736 (forall @t5225 (= (tptp.hAPP @t6042 @t5115) (tptp.hAPP @t5106 (tptp.hAPP @t6042 @t5047))))) % 47.09/47.30 (assume @p4737 (forall @t6040 (= (tptp.c_List_Oreplicate @t76 @t370 @t75) (tptp.hAPP @t5106 @t6037)))) % 47.09/47.30 (assume @p4738 (forall @t6040 (= (tptp.hAPP @t5923 @t6037) @t6037))) % 47.09/47.30 (assume @p4739 (forall @t6038 (=> @t854 (= (tptp.c_List_Olast @t76 @t6037) @t75)))) % 47.09/47.30 (assume @p4740 (forall @t6045 (= (tptp.hAPP @t5382 @t6044) (tptp.c_List_Oreplicate @t76 (tptp.hAPP @t6043 @t558) @t75)))) % 47.09/47.30 (assume @p4741 (forall @t6038 (=> @t854 (= (tptp.hAPP @t5586 @t6037) @t75)))) % 47.09/47.30 (assume @p4742 (forall @t6045 (= (tptp.hAPP @t5559 @t6044) (tptp.c_List_Oreplicate @t76 (tptp.hAPP (tptp.hAPP @t643 @t558) @t559) @t75)))) % 47.09/47.30 (assume @p4743 (forall (@list @t95 @t561 @t75 @t559 @t15 @t76) (= (tptp.hAPP (tptp.hAPP @t5280 @t6046) (tptp.c_List_Oreplicate @t15 @t561 @t95)) (tptp.c_List_Oreplicate @t5283 (tptp.hAPP @t6043 @t561) @t4130)))) % 47.09/47.30 (assume @p4744 (forall @t6048 (= (exists @t7 (and @t6047 @t172)) (and @t2390 @t856)))) % 47.09/47.30 (assume @p4745 (forall @t6048 (= (forall @t7 (=> @t6047 @t172)) (or @t2390 @t554)))) % 47.09/47.30 (assume @p4746 (forall (@list @t128 @t260 @t47 @t496 @t15) (= (= (tptp.c_List_Oreplicate @t15 @t496 @t47) @t6049) (and @t663 (=> (not @t903) @t129))))) % 47.09/47.30 (assume @p4747 (forall (@list @t75 @t76 @t369 @t559) (=> @t5218 (= (tptp.hAPP (tptp.hAPP @t5197 @t6037) @t559) @t75)))) % 47.09/47.30 (assume @p4748 (forall (@list @t558 @t75 @t369 @t76) (= (tptp.hAPP @t6042 @t6044) (tptp.hAPP (tptp.hAPP @t5491 @t6044) @t6037)))) % 47.09/47.30 (assume @p4749 (forall (@list @t75 @t488 @t369 @t76) (= (tptp.c_List_Oreplicate @t76 @t1317 @t75) (tptp.hAPP @t6042 (tptp.c_List_Oreplicate @t76 @t488 @t75))))) % 47.09/47.30 (assume @p4750 (forall (@list @t260 @t15 @t47 @t35) (and (=> @t168 (= @t6051 @t6050)) (=> @t5829 (= @t6051 @t5408))))) % 47.09/47.30 (assume @p4751 (forall (@list @t559 @t76) (= (tptp.c_List_Oconcat @t76 (tptp.c_List_Oreplicate @t5049 @t559 @t5407)) @t5407))) % 47.09/47.30 (assume @p4752 (forall @t80 (= (tptp.c_List_Oreplicate @t76 @t520 @t75) @t5407))) % 47.09/47.30 (assume @p4753 (forall @t6052 (= (= @t5408 @t6050) @t554))) % 47.09/47.30 (assume @p4754 (forall @t6052 (= (= @t6050 @t5408) @t554))) % 47.09/47.30 (assume @p4755 (forall (@list @t47 @t260 @t2 @t15 @t71) (= (tptp.hAPP @t5673 (tptp.c_List_Oreplicate @t71 @t260 @t47)) (tptp.c_List_Oreplicate @t15 @t260 @t69)))) % 47.09/47.30 (assume @p4756 (forall (@list @t128 @t260 @t47 @t15) (= (tptp.hBOOL (tptp.hAPP @t323 (tptp.hAPP @t5226 @t6049))) (and @t129 @t856)))) % 47.09/47.30 (assume @p4757 (forall (@list @t75 @t559 @t76) (= (tptp.hAPP (tptp.hAPP @t5491 @t6046) @t5432) (tptp.hAPP @t5106 @t6046)))) % 47.09/47.30 (assume @p4758 (forall (@list @t1144 @t47 @t15) (= (tptp.hAPP (tptp.hAPP @t5890 (tptp.hAPP (tptp.c_COMBK @t15 tptp.tc_Nat_Onat) @t47)) (tptp.c_List_Oupt @t520 @t1144)) (tptp.c_List_Oreplicate @t15 @t1144 @t47)))) % 47.09/47.30 (assume @p4759 (forall @t6055 @t6054)) % 47.09/47.30 (assume @p4760 (forall @t6055 (and (=> @t554 (= @t6053 @t289)) @t6054))) % 47.09/47.30 (assume @p4761 (forall @t6052 (= (tptp.hAPP @t5226 (tptp.c_List_Oreplicate @t15 @t261 @t47)) @t384))) % 47.09/47.30 (assume @p4762 (forall (@list @t1144 @t6056 @t5749 @t15) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t15 @t5749 @t6056) @t1144) (tptp.c_Lazy__Sequence_Oappend @t15 (tptp.hAPP @t5749 @t1144) (tptp.hAPP @t6056 @t1144))))) % 47.09/47.30 (assume @p4763 (forall @t4260 (= (tptp.c_Predicate_Opred__comp @t15 @t15 @t15 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t15 @t15 @t15 @t387 tptp.c_fequal)) @t387))) % 47.09/47.30 (assume @p4764 (forall (@list @t5979 @t5980 @t5981 @t4086 @t4085 @t15) (= (tptp.c_New__Random__Sequence_Opos__union @t15 @t4085 @t4086 @t5981 @t5980 @t5979) (tptp.c_New__DSequence_Opos__union @t15 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4085 @t5981) @t5980) @t5979) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4086 @t5981) @t5980) @t5979))))) % 47.09/47.30 (assume @p4765 (forall (@list @t559 @t193) (and (=> @t6059 (= @t6058 @t6060)) (=> (not @t6059) (= @t6058 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6057 @t559) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t193 @t5436))))))) % 47.09/47.30 (assume @p4766 (forall (@list @t193) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t193) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t193 (tptp.hAPP @t2970 @t193))))) % 47.09/47.30 (assume @p4767 (forall (@list @t1144 @t345) (=> (tptp.hBOOL (tptp.hAPP @t6063 (tptp.hAPP (tptp.hAPP @t3843 @t345) @t1144))) (and (=> @t6062 (= @t6061 @t6060)) (=> (not @t6062) (= @t6061 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t6057 @t1144) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t345 @t2075)))))))) % 47.09/47.30 (assume @p4768 (forall @t100 (=> @t3110 (=> (forall (@list @t6064) (=> (tptp.hBOOL (tptp.hAPP @t1355 @t6064)) (tptp.hBOOL (tptp.hAPP @t78 (tptp.hAPP @t1607 @t6064))))) @t98)))) % 47.09/47.30 (assume @p4769 (forall @t4084 (=> (tptp.hBOOL (tptp.hAPP @t6063 @t4083)) (=> (forall (@list @t1408 @t948) (=> (tptp.hBOOL (tptp.hAPP @t6063 (tptp.hAPP (tptp.hAPP @t3843 @t1408) @t948))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1882 @t1408) @t948))) (tptp.hBOOL (tptp.hAPP @t1409 @t5469))) (tptp.hBOOL (tptp.hAPP @t1409 @t948))))) @t4077)))) % 47.09/47.30 (assume @p4770 (forall (@list @t6065 @t112 @t76) (= (tptp.hAPP @t6066 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t76 @t112 @t6065)) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t6066 @t6065)) @t904)))) % 47.09/47.30 (assume @p4771 (forall (@list @t6067 @t3962 @t6068 @t290 @t15) (= (= @t6069 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t15 @t3962 @t6067)) (and @t3963 (= @t6068 @t6067))))) % 47.09/47.30 (assume @p4772 (forall (@list @t6070 @t6071 @t75 @t76) (= (tptp.c_Lazy__Sequence_Oappend @t76 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t76 @t75 @t6071) @t6070) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t76 @t75 (tptp.c_Lazy__Sequence_Oappend @t76 @t6071 @t6070))))) % 47.09/47.30 (assume @p4773 (forall (@list @t6068 @t290 @t623 @t15) (= (tptp.hAPP @t6072 @t6069) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t5161 (tptp.hAPP @t6072 @t6068))) @t904)))) % 47.09/47.30 (assume @p4774 (forall (@list @t5749 @t15) (= (tptp.hAPP @t6075 @t5749) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6080 @t520 (tptp.hAPP @t6079 (tptp.hAPP (tptp.c_COMBK @t6078 @t15) (tptp.hAPP (tptp.hAPP @t6077 (tptp.hAPP @t6076 @t6075)) @t1449))) @t6074)))) % 47.09/47.30 (assume @p4775 (forall (@list @t5749 @t543 @t15) (= (tptp.hAPP @t6081 @t5749) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t6080 @t520 (tptp.hAPP @t6079 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 tptp.tc_Nat_Onat @t6078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6082 (tptp.tc_fun tptp.tc_Nat_Onat @t6078) @t15) @t6077) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6078 @t6082 @t15) @t6076) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t15 @t6078 @t6078) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2202 (tptp.tc_fun @t6078 @t6078) @t15) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6009)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2202 @t15) @t1274) @t543))) @t6081)))) @t1449)) @t6074)))) % 47.09/47.30 (assume @p4776 (forall (@list @t5749 @t1 @t2 @t71 @t15) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t15 @t71 @t2 @t1 @t5749) (tptp.c_Option_Ooption_Ooption__case @t15 (tptp.tc_prod @t71 @t6083) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t6083 @t15) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t71) @t5749))))) % 47.09/47.30 (assume @p4777 (forall @t594 (= (tptp.c_Lazy__Sequence_Oyieldn @t15) (tptp.c_Lazy__Sequence_Oanamorph @t6009 @t15 @t6073)))) % 47.09/47.30 (assume @p4778 (forall @t6086 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t15 @t71 @t81 @t771 @t6085) @t6084))) % 47.09/47.30 (assume @p4779 (forall (@list @t1667 @t51 @t71 @t386 @t15) (=> (forall @t7 (=> @t427 (tptp.c_Relation_Orefl__on @t71 @t2606 @t4103))) (tptp.c_Relation_Orefl__on @t71 (tptp.hAPP (tptp.hAPP @t4894 @t386) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t4157) @t386) @t1667))))) % 47.09/47.30 (assume @p4780 (forall @t5143 (= @t5245 @t6089))) % 47.09/47.30 (assume @p4781 (forall (@list @t95 @t76) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t76) @t5407) @t95))))) % 47.09/47.30 (assume @p4782 (forall @t594 (= @t6087 @t5226))) % 47.09/47.30 (assume @p4783 (forall @t5398 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6087 @t5124) @t128)) (or @t129 (tptp.hBOOL (tptp.hAPP @t6088 @t128)))))) % 47.09/47.30 (assume @p4784 (forall @t5257 (= @t6089 @t5245))) % 47.09/47.30 (assume @p4785 (forall (@list @t294 @t290 @t6090 @t623 @t71 @t15) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t15 @t71 @t623 @t6090 @t6091) (tptp.hAPP (tptp.hAPP @t1274 (tptp.hAPP @t5161 (tptp.hAPP @t6090 @t294))) @t904)))) % 47.09/47.30 (assume @p4786 (forall @t3966 (= (= @t6091 (tptp.c_Nitpick_Opair__box_OPairBox @t15 @t71 @t3962 @t3961)) @t3964))) % 47.09/47.30 (assume @p4787 (forall @t4129 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t76 @t15)) (tptp.c_Nitpick_Opair__box_OPairBox @t76 @t15 @t112 @t116)) @t520))) % 47.09/47.30 (assume @p4788 (forall @t3974 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t71 @t184 @t15 @t81 @t6092) @t3951))) % 47.09/47.30 (assume @p4789 (forall @t3974 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t71 @t184 @t15 @t81 @t6092) @t3951))) % 47.09/47.30 (assume @p4790 (forall (@list @t345 @t15 @t35) (and (=> @t6094 (= @t6093 @t629)) (=> (not @t6094) (= @t6093 @t345))))) % 47.09/47.30 (assume @p4791 (forall @t2843 (=> @t954 (=> (tptp.hBOOL (tptp.hAPP @t1093 @t386)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t4957 @t386)) @t4956)) (=> (forall (@list @t6096) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t6096) @t386)) (forall (@list @t6095) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t6095) @t386)) (=> (not (= @t6096 @t6095)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t174 @t6096)) (=> (tptp.hBOOL (tptp.hAPP @t174 @t6095)) @t1155)))))))) (= (tptp.hAPP @t921 @t5013) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t54 @t71) @t921) @t386)))))))) % 47.09/47.30 (assume @p4792 (forall (@list @t184 @t71 @t281 @t294 @t48 @t51 @t15) (=> @t4965 @t4907))) % 47.09/47.30 (assume @p4793 (forall @t2763 (=> @t2680 (not (forall @t7 (=> @t176 (not @t2762))))))) % 47.09/47.30 (assume @p4794 (forall @t4958 (=> (tptp.hBOOL (tptp.hAPP @t5204 @t2371)) (exists @t432 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5794 @t2371)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t816 (tptp.hAPP @t5044 @t3)) @t429)))))))) % 47.09/47.30 (assume @p4795 (forall @t5417 (= (tptp.hAPP @t6072 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t15)) @t520))) % 47.09/47.30 (assume @p4796 (forall @t5465 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t15 @t71 @t81 @t771 @t6097) @t81))) % 47.09/47.30 (assume @p4797 (forall (@list @t6070 @t76) (= (tptp.c_Lazy__Sequence_Oappend @t76 @t6098 @t6070) @t6070))) % 47.09/47.30 (assume @p4798 (forall @t6101 (not (= @t6098 @t6100)))) % 47.09/47.30 (assume @p4799 (forall @t6101 (not (= @t6100 @t6098)))) % 47.09/47.30 (assume @p4800 (forall @t1458 (= (tptp.hAPP @t6066 @t6098) @t520))) % 47.09/47.30 (assume @p4801 (forall @t6103 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t35 @t5311) @t6102))) % 47.09/47.30 (assume @p4802 (forall @t6103 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t35 @t5311) (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) @t35) @t1144 @t1374))))) % 47.09/47.31 (assume @p4803 (forall @t6103 (= @t6102 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t2183 @t2076)) @t172))))) % 47.09/47.31 (assume @p4804 (forall @t4348 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t15 @t81 @t771 @t4237) (tptp.hAPP @t4347 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t15 @t81 @t771 @t4236))))) % 47.09/47.31 (assume @p4805 (forall (@list @t5980 @t1 @t15 @t5981) (and (=> @t6114 (= @t6113 @t6115)) (=> (not @t6114) (= @t6113 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4786 @t6106 @t4786 @t6110) (tptp.hAPP @t1 @t5980)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6112 @t6111 @t6106) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4786 @t6107 @t4786 @t6110) (tptp.c_Random__Sequence_ORandom @t15 @t1 (tptp.hAPP (tptp.hAPP @t3809 @t5981) @t3808) @t5980))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6108 @t6112 @t6106) (tptp.hAPP (tptp.c_COMBB @t6107 @t6111 @t6107) @t6109)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6107 @t6108 @t6106) (tptp.c_DSequence_Ounion @t15)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t15 @t6107 @t6106) @t6105) (tptp.c_Product__Type_Ofst @t15 @t6104))))))))))) % 47.09/47.31 (assume @p4806 (forall @t772 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t15 @t81 @t771 @t3794) @t81))) % 47.09/47.31 (assume @p4807 (forall (@list @t5980 @t5981 @t15) (= (tptp.c_Random__Sequence_Oempty @t15 @t5981 @t5980) @t6115))) % 47.09/47.31 (assume @p4808 (forall (@list @t5980 @t5981 @t47 @t15) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6116 @t47) @t5981) @t5980) (tptp.hAPP @t6109 (tptp.hAPP @t6105 @t47))))) % 47.09/47.31 (assume @p4809 (forall @t6018 (= (tptp.c_Random__Sequence_Omap @t71 @t15 @t2 @t35) (tptp.c_Random__Sequence_Obind @t71 @t15 @t35 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t6111)) @t71 @t6116) @t2))))) % 47.09/47.31 (assume @p4810 (forall (@list @t184 @t2 @t34 @t1796 @t15 @t71 @t35) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t35 @t4096) (tptp.hAPP @t4141 @t1796))) (=> (forall @t787 (=> (tptp.hBOOL (tptp.hAPP @t2459 @t3)) (tptp.hBOOL (tptp.hAPP @t34 @t1142)))) (tptp.hBOOL (tptp.hAPP @t34 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t71 @t15 @t184) @t2) @t1796))))))) % 47.09/47.31 (assume @p4811 (forall (@list @t51 @t35 @t15 @t71) (= (tptp.hAPP (tptp.c_Relation_OImage @t71 @t15 @t4454) @t51) (tptp.hAPP @t2386 (tptp.hAPP @t4453 (tptp.hAPP (tptp.hAPP @t2420 @t6117) @t4451)))))) % 47.09/47.31 (assume @p4812 (forall @t4771 (=> @t5104 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5195 @t202)) @t5101)) (=> @t6118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5061 (tptp.hAPP @t5102 @t202)) @t5101))))))) % 47.09/47.31 (assume @p4813 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 47.09/47.31 (assume @p4814 (forall (@list @t4086 @t71 @t4085 @t15) (=> (tptp.c_Relation_Otrans @t15 @t4085) (=> (tptp.c_Relation_Otrans @t71 @t4086) (tptp.c_Relation_Otrans @t2508 (tptp.c_Wellfounded_Olex__prod @t15 @t71 @t4085 @t4086)))))) % 47.09/47.31 (assume @p4815 (forall (@list @t281 @t294 @t290 @t1667 @t15) (=> @t6118 (=> @t4178 (=> @t4733 (tptp.hBOOL (tptp.hAPP @t4727 @t1667))))))) % 47.09/47.31 (assume @p4816 (forall @t3406 (= @t6118 (forall @t787 (=> @t4219 (forall @t2443 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4701 @t2441)) @t1667)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4014 (tptp.hAPP @t4012 @t2441)) @t1667))))))))) % 47.09/47.31 (assume @p4817 (forall @t4412 (=> @t6118 (tptp.c_Relation_Otrans @t71 @t4410)))) % 47.09/47.31 (assume @p4818 (forall @t3406 (=> @t6118 (tptp.c_Relation_Otrans @t15 @t4746)))) % 47.09/47.31 (assume @p4819 (forall @t594 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t15 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t15)))) % 47.09/47.31 (assume @p4820 (forall @t376 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t174 @t2496)) @t172)) @t467))) % 47.09/47.31 (assume @p4821 (forall @t3406 (tptp.c_Relation_Otrans @t15 @t4740))) % 47.09/47.31 (assume @p4822 (forall @t3406 (=> @t6118 (tptp.c_Relation_Otrans @t4435 @t5101)))) % 47.09/47.31 (assume @p4823 (forall @t170 (tptp.c_Relation_Otrans @t15 @t4327))) % 47.09/47.31 (assume @p4824 (forall @t3406 (=> @t6118 (= @t4715 @t1667)))) % 47.09/47.31 (assume @p4825 (forall @t3406 (tptp.c_Relation_Otrans @t15 @t4715))) % 47.09/47.31 (assume @p4826 (forall @t594 (tptp.c_Relation_Otrans @t15 @t4745))) % 47.09/47.31 (assume @p4827 (forall @t594 (tptp.c_Relation_Otrans @t54 @t4205))) % 47.09/47.31 (assume @p4828 (forall @t376 (not (exists @t7 (and @t4620 @t172))))) % 47.09/47.31 (assume @p4829 (forall @t3406 (=> @t6118 (tptp.c_Relation_Otrans @t4435 @t5164)))) % 47.09/47.31 (assume @p4830 (forall @t3406 (= (tptp.c_Relation_Otrans @t15 @t4790) @t6118))) % 47.09/47.31 (assume @p4831 (forall (@list @t34 @t71 @t51 @t15) (=> @t928 (= (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t2421 (tptp.hAPP @t2463 (tptp.hAPP (tptp.hAPP @t2415 @t811) @t34))))) (forall @t7 (=> @t176 (tptp.hBOOL (tptp.hAPP @t1082 (tptp.hAPP @t2421 (tptp.hAPP @t2458 @t3)))))))))) % 47.09/47.31 (assume @p4832 (forall @t4317 (=> @t6118 (=> (tptp.c_Relation_Otrans @t15 @t543) (tptp.c_Relation_Otrans @t15 @t4603))))) % 47.09/47.31 (assume @p4833 (forall @t3406 (=> @t6118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP @t4749 @t1667)) @t1667))))) % 47.09/47.31 (assume @p4834 (forall @t170 (= @t4978 (tptp.hAPP @t2386 (tptp.hAPP (tptp.hAPP @t5000 @t2945) (tptp.hAPP (tptp.hAPP @t4999 (tptp.hAPP @t2941 (tptp.hAPP @t2938 @t4998))) @t173)))))) % 47.09/47.31 (assume @p4835 (forall @t2601 (= @t2558 (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t6119)))) % 47.09/47.31 (assume @p4836 (forall @t5265 (= @t5988 @t5986))) % 47.09/47.31 (assume @p4837 (forall @t2601 (= @t4903 (tptp.c_Complete__Lattice_OInf__class_OInf @t54 @t6119)))) % 47.09/47.31 (assume @p4838 (forall @t2881 (=> @t703 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t72 @t51) @t47) (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t6122))))) % 47.09/47.31 (assume @p4839 (forall @t2881 (=> @t703 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t72 @t51) @t47) (tptp.c_Complete__Lattice_OInf__class_OInf @t15 @t6122))))) % 47.09/47.31 (assume @p4840 (forall @t4443 (=> @t4442 (=> @t4441 (=> @t4440 (=> (forall @t7 (=> @t4439 (exists @t426 (and @t4438 @t4403)))) (tptp.c_Wellfounded_Omax__extp @t15 @t387 @t508 @t236))))))) % 47.09/47.31 (assume @p4841 (forall @t3406 (= @t6123 (tptp.c_Relation_Otrans @t15 @t4599)))) % 47.09/47.31 (assume @p4842 (forall @t4843 (=> @t6123 (=> @t5175 (=> (tptp.hBOOL (tptp.hAPP @t6124 @t202)) (tptp.hBOOL (tptp.hAPP @t4608 @t202))))))) % 47.09/47.31 (assume @p4843 (forall @t4260 (=> @t4253 (not (=> @t6128 @t6127))))) % 47.09/47.31 (assume @p4844 (forall @t4260 (=> @t6128 (=> @t6126 (=> @t6125 @t4253))))) % 47.09/47.31 (assume @p4845 (forall @t4747 (=> @t6129 (=> @t5175 (tptp.hBOOL (tptp.hAPP @t6124 @t47)))))) % 47.09/47.31 (assume @p4846 (forall @t4260 (= @t4253 (and @t6128 @t6126 @t6125)))) % 47.09/47.31 (assume @p4847 (forall @t3406 (=> @t6118 (=> @t6130 (tptp.c_Relation_Otrans @t15 @t4753))))) % 47.09/47.31 (assume @p4848 (forall @t3406 (= (tptp.c_Relation_Oantisym @t15 @t4790) @t6130))) % 47.09/47.31 (assume @p4849 (forall @t594 (tptp.c_Relation_Oantisym @t15 @t3447))) % 47.09/47.31 (assume @p4850 (forall @t170 (tptp.c_Relation_Oantisym @t15 @t4327))) % 47.09/47.31 (assume @p4851 (forall @t594 (tptp.c_Relation_Oantisym @t15 @t4745))) % 47.09/47.31 (assume @p4852 (forall @t4317 (=> @t4316 (=> (tptp.c_Relation_Oantisym @t15 @t543) @t6130)))) % 47.09/47.31 (assume @p4853 (forall @t6132 (=> @t6130 (=> @t4178 (=> @t6131 @t295))))) % 47.09/47.31 (assume @p4854 (forall @t3406 (= @t6130 (forall @t787 (=> @t4219 (=> @t5023 @t4698)))))) % 47.09/47.31 (assume @p4855 (forall @t3406 (= (tptp.c_Relation_Oantisym @t15 @t4746) @t6130))) % 47.09/47.31 (assume @p4856 (forall @t3406 (=> @t4607 (tptp.c_Relation_Oantisym @t15 @t4740)))) % 47.09/47.31 (assume @p4857 (forall (@list @t47 @t51 @t6135 @t184 @t15 @t71) (= (tptp.c_Partial__Function_Ofun__lub @t71 @t15 @t184 @t6135 @t51 @t47) (tptp.hAPP @t6135 (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6133 tptp.tc_HOL_Obool @t71) (tptp.c_HOL_OEx @t2534)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6133 @t6133 @t71) (tptp.hAPP (tptp.c_COMBS @t2534 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t517 @t2534) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2534 @t6133 tptp.tc_HOL_Obool) (tptp.c_member @t2534)) @t51)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t71 @t6134 @t6133) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 (tptp.tc_fun @t6134 @t6133) @t71) (tptp.c_COMBB @t71 tptp.tc_HOL_Obool @t2534)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2534 @t184 @t71) (tptp.c_COMBI @t2534)) @t47))))))))) % 47.09/47.31 (assume @p4858 (forall @t3406 (=> @t6136 (=> @t6118 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3446 @t4806) @t1667)))))) % 47.09/47.31 (assume @p4859 (forall @t6132 (=> @t6136 (=> @t4178 @t6131)))) % 47.09/47.31 (assume @p4860 (forall @t3406 (= @t6136 (forall @t787 (=> @t4219 @t5023))))) % 47.09/47.31 (assume @p4861 (forall @t4412 (=> @t6136 (tptp.c_Relation_Osym @t71 @t4410)))) % 47.09/47.31 (assume @p4862 (forall @t3406 (tptp.c_Relation_Osym @t15 (tptp.hAPP @t4319 @t4790)))) % 47.09/47.31 (assume @p4863 (forall @t3406 (=> @t6136 (tptp.c_Relation_Osym @t15 @t4740)))) % 47.09/47.31 (assume @p4864 (forall @t170 (tptp.c_Relation_Osym @t15 @t4327))) % 47.09/47.31 (assume @p4865 (forall @t3406 (=> @t6136 (tptp.c_Relation_Osym @t15 @t4715)))) % 47.09/47.31 (assume @p4866 (forall @t4317 (=> @t6136 (=> @t6137 (tptp.c_Relation_Osym @t15 @t4320))))) % 47.09/47.31 (assume @p4867 (forall @t594 (tptp.c_Relation_Osym @t15 @t4745))) % 47.09/47.31 (assume @p4868 (forall @t3406 (=> @t6136 (tptp.c_Relation_Osym @t4435 @t5164)))) % 47.09/47.31 (assume @p4869 (forall @t3406 (= @t6136 (= @t4790 @t1667)))) % 47.09/47.31 (assume @p4870 (forall @t3406 (= (tptp.c_Relation_Osym @t15 @t4790) @t6136))) % 47.09/47.31 (assume @p4871 (forall @t4317 (=> @t6136 (=> @t6137 (tptp.c_Relation_Osym @t15 @t4603))))) % 47.09/47.31 (assume @p4872 (forall @t3406 (tptp.c_Relation_Osym @t15 (tptp.hAPP @t4421 @t4790)))) % 47.09/47.31 (assume @p4873 (forall @t3405 (= @t4181 (and @t4598 @t6136 @t6118)))) % 47.09/47.31 (assume @p4874 (forall @t3405 (=> @t4598 (=> @t6136 (=> @t6118 @t4181))))) % 47.09/47.31 (assume @p4875 (forall @t3405 (=> @t4181 (not (=> @t4598 (=> @t6136 (not @t6118))))))) % 47.09/47.31 (assume @p4876 (forall @t3406 (= @t6129 (tptp.c_Relation_Osym @t15 @t4599)))) % 47.09/47.31 (assume @p4877 (forall (@list @t15 @t387) (=> @t6140 (=> @t6126 (=> @t6125 @t6138))))) % 47.09/47.31 (assume @p4878 (forall @t4260 (= @t6138 (and @t6140 @t6126 @t6125)))) % 47.09/47.31 (assume @p4879 (forall @t4260 (=> @t4253 @t6138))) % 47.09/47.31 (assume @p4880 (forall @t4254 (=> @t6138 @t4252))) % 47.09/47.31 (assume @p4881 (forall @t960 (=> @t6138 @t4255))) % 47.09/47.31 (assume @p4882 (forall @t4260 (= @t6138 (and @t6140 (forall @t787 (= @t4259 (and @t6139 (tptp.hBOOL (tptp.hAPP @t4256 @t783)) @t4258))))))) % 47.09/47.31 (assume @p4883 (forall @t4260 (=> @t6138 (not (=> @t6140 @t6127))))) % 47.09/47.31 (assume @p4884 (forall @t4260 (=> @t6138 (exists @t1412 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t540 @t1408) (tptp.hAPP (tptp.hAPP @t2936 @t2452) (tptp.hAPP (tptp.hAPP @t2444 (tptp.hAPP @t810 (tptp.hAPP @t808 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t15 @t15 tptp.tc_HOL_Obool) @t387) @t237)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t54 @t2478 @t54) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t243 (tptp.tc_fun @t2478 @t54) @t54) @t515) tptp.c_fequal)) @t387))))))))) % 47.09/47.31 (assume @p4885 (forall @t823 (=> @t2531 @t6142))) % 47.09/47.31 (assume @p4886 (forall @t823 (= @t2531 @t6142))) % 47.09/47.31 (assume @p4887 (forall @t594 (= (tptp.c_Hilbert__Choice_Oinv__into @t15 @t15 @t2496 @t4568) @t4568))) % 47.09/47.31 (assume @p4888 (forall (@list @t51 @t2 @t71 @t128 @t15) (=> (tptp.hBOOL (tptp.hAPP @t360 @t87)) (= (tptp.hAPP @t2 (tptp.hAPP @t6143 @t128)) @t128)))) % 47.09/47.31 (assume @p4889 (forall (@list @t51 @t2 @t71 @t47 @t15) (=> (tptp.hBOOL (tptp.hAPP @t323 @t87)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t311 (tptp.hAPP @t6143 @t47)) @t51))))) % 47.09/47.31 (assume @p4890 (forall (@list @t128 @t47 @t2 @t51 @t71 @t15) (=> (= @t6146 @t6145) (=> @t894 (=> @t851 @t129))))) % 47.09/47.31 (assume @p4891 (forall @t408 (=> @t2729 (= (tptp.hAPP @t85 (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t6147) @t51)) @t51)))) % 47.09/47.31 (assume @p4892 (forall (@list @t128 @t2 @t15 @t71) (=> @t2729 (= (tptp.hAPP @t2 (tptp.hAPP @t6147 @t128)) @t128)))) % 47.09/47.31 (assume @p4893 (forall @t407 (= @t2729 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t6147 @t3)) @t3))))) % 47.09/47.31 (assume @p4894 (forall (@list @t4595 @t916 @t51 @t2 @t15 @t71) (=> @t4596 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4595) @t916)) (= (tptp.hAPP @t85 (tptp.hAPP (tptp.c_Set_Oimage @t15 @t71 @t6143) @t4595)) @t4595))))) % 47.09/47.31 (assume @p4895 (forall @t815 (= @t6146 (tptp.c_Hilbert__Choice_OEps @t15 @t812)))) % 47.09/47.31 (assume @p4896 (forall (@list @t128 @t2 @t71 @t15) (= @t6148 (tptp.c_Hilbert__Choice_OEps @t15 (tptp.hAPP @t806 @t128))))) % 47.09/47.31 (assume @p4897 (forall @t746 (=> @t2531 (=> @t745 (= @t6148 @t47))))) % 47.09/47.31 (assume @p4898 (forall @t708 (=> @t2531 (= (tptp.hAPP @t6141 @t69) @t47)))) % 47.09/47.31 (assume @p4899 (forall @t841 (=> @t800 (=> @t331 (=> @t745 (= @t6145 @t47)))))) % 47.09/47.31 (assume @p4900 (forall @t839 (=> @t800 (=> @t331 (= (tptp.hAPP @t6144 @t69) @t47))))) % 47.09/47.31 (assume @p4901 (forall @t823 (=> @t2531 (= (tptp.hAPP @t6149 @t2512) @t2496)))) % 47.09/47.31 (assume @p4902 (forall @t406 (=> @t2531 (= (tptp.hAPP @t6149 @t222) @t51)))) % 47.09/47.31 (assume @p4903 (forall (@list @t508 @t2 @t71 @t15) (=> @t2531 (= (tptp.hAPP @t6149 (tptp.hAPP @t220 @t508)) @t508)))) % 47.09/47.31 (assume @p4904 (forall @t407 (=> @t2729 (tptp.c_Fun_Oinj__on @t15 @t71 @t6147 @t2496)))) % 47.09/47.31 (assume @p4905 (forall (@list @t386 @t51 @t2 @t71 @t15) (=> @t800 (=> (tptp.hBOOL (tptp.hAPP @t1158 @t51)) (= (tptp.hAPP (tptp.c_Set_Oimage @t71 @t15 @t6144) @t420) @t386))))) % 47.09/47.31 (assume @p4906 (forall @t229 (=> @t228 (tptp.c_Fun_Oinj__on @t15 @t71 @t6143 @t48)))) % 47.09/47.31 (assume @p4907 (forall @t1240 (=> @t2531 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t184 @t15 (tptp.hAPP @t4652 @t6141)) @t2) @t1)))) % 47.09/47.31 (assume @p4908 (forall @t4674 (=> @t4673 (=> @t4672 (=> @t4671 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t184 @t71 @t51 @t4651) @t47) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t184 @t71 (tptp.c_Hilbert__Choice_Oinv__into @t184 @t15 @t51 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t15 @t71 @t4670 @t2)) @t47))))))) % 47.09/47.31 (assume @p4909 (forall @t407 (= @t2729 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t71 @t15 @t15 @t2) @t6147) @t4568)))) % 47.09/47.31 (assume @p4910 (forall (@list @t47 @t35 @t2 @t71 @t15) (=> @t2531 (=> (forall @t2461 (=> (tptp.hBOOL (tptp.hAPP @t4580 @t2544)) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t6141 @t783))))) @t168)))) % 47.09/47.31 (assume @p4911 (forall (@list @t1 @t51 @t71 @t2607 @t15 @t184) (=> @t4567 (=> (tptp.hBOOL (tptp.hAPP @t927 @t2607)) (=> (forall @t7 (=> @t4911 @t4910)) (=> (forall @t7 (=> @t4911 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP @t425 @t2607)) (=> @t1016 (= (tptp.hAPP (tptp.hAPP @t931 @t2606) (tptp.hAPP @t51 @t422)) @t377)))))) (= (tptp.hAPP @t6150 @t2656) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4566 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t88 @t184 @t15) @t6150) @t51)) @t4564) @t2607)))))))) % 47.09/47.31 (assume @p4912 (forall @t4613 (=> @t5722 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t35 @t6151))) @t4610)))) % 47.09/47.31 (assume @p4913 (forall @t4614 (=> @t5722 (not (forall @t7 (not (= @t128 @t6151))))))) % 47.09/47.31 (assume @p4914 (forall @t2277 (not (forall @t2461 (=> (= @t47 @t6153) (not @t6152)))))) % 47.09/47.31 (assume @p4915 (forall @t4619 (=> (forall @t2461 (=> @t6152 (tptp.hBOOL (tptp.hAPP @t35 @t6153)))) @t168))) % 47.09/47.31 (assume @p4916 (forall @t5465 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t15 @t71 @t81 @t771 @t6097) @t81))) % 47.09/47.31 (assume @p4917 (forall @t3338 (and (=> @t4782 (= @t6154 @t666)) (=> @t4783 (= @t6154 @t3794))))) % 47.09/47.31 (assume @p4918 (forall @t2026 (= (tptp.c_Quickcheck_Obeyond @t558 @t3794) @t3794))) % 47.09/47.31 (assume @p4919 (forall @t6086 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t15 @t71 @t81 @t771 @t6085) (tptp.hAPP @t6084 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t15 @t71 @t81 @t771 @t6068))))) % 47.09/47.31 (assume @p4920 (forall @t2725 (=> @t6155 (= (tptp.hAPP @t220 @t2387) (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t5940 @t35) @t6141)))))) % 47.09/47.31 (assume @p4921 (forall (@list @t128 @t47 @t281 @t15 @t184 @t71) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t71 @t184 @t15 @t281) @t47) @t128) (tptp.hAPP @t281 @t3894)))) % 47.09/47.31 (assume @p4922 (forall (@list @t294 @t290 @t71 @t15 @t2) (=> @t6157 @t6156))) % 47.09/47.31 (assume @p4923 (forall @t170 (tptp.c_Fun_Obij__betw @t15 @t15 @t4568 @t51 @t51))) % 47.09/47.31 (assume @p4924 (forall (@list @t290 @t916 @t51 @t2 @t71 @t15) (=> @t6158 (=> @t293 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t71 @t15 @t916 @t6144) @t290) @t397))))) % 47.09/47.31 (assume @p4925 (forall @t418 (=> @t6159 (tptp.c_Fun_Obij__betw @t71 @t15 @t6144 @t48 @t51)))) % 47.09/47.31 (assume @p4926 (forall @t823 (=> @t6155 (tptp.c_Fun_Obij__betw @t71 @t15 @t6141 @t2512 @t2496)))) % 47.09/47.31 (assume @p4927 (forall @t823 (=> @t6155 (= (tptp.c_Hilbert__Choice_Oinv__into @t71 @t15 @t2512 @t6141) @t2)))) % 47.09/47.31 (assume @p4928 (forall @t1240 (=> @t6155 (=> (tptp.c_Fun_Obij__betw @t184 @t15 @t1 @t4584 @t2496) (= (tptp.c_Hilbert__Choice_Oinv__into @t184 @t71 @t4584 @t4651) (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t184 @t71 (tptp.c_Hilbert__Choice_Oinv__into @t184 @t15 @t4584 @t1)) @t6141)))))) % 47.09/47.31 (assume @p4929 (forall (@list @t51 @t2 @t184 @t6160 @t916 @t4645 @t71 @t15) (=> (tptp.c_Fun_Obij__betw @t15 @t71 @t4645 @t916 @t6160) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t4488) @t916)) (= (tptp.c_Fun_Obij__betw @t184 @t15 @t2 @t51 @t916) (tptp.c_Fun_Obij__betw @t184 @t71 (tptp.hAPP (tptp.c_Fun_Ocomp @t15 @t71 @t184 @t4645) @t2) @t51 @t6160)))))) % 47.09/47.31 (assume @p4930 (forall (@list @t161 @t1 @t184 @t48 @t51 @t2 @t71 @t15) (=> @t6159 (=> (tptp.c_Fun_Obij__betw @t71 @t184 @t1 @t48 @t161) (tptp.c_Fun_Obij__betw @t15 @t184 @t4655 @t51 @t161))))) % 47.09/47.31 (assume @p4931 (forall (@list @t6160 @t4645 @t184 @t916 @t51 @t2 @t71 @t15) (=> @t6158 (= (tptp.c_Fun_Obij__betw @t71 @t184 @t4645 @t916 @t6160) (tptp.c_Fun_Obij__betw @t15 @t184 @t4653 @t51 @t6160))))) % 47.09/47.31 (assume @p4932 (forall @t1240 (=> @t6155 (=> (tptp.c_Fun_Obij__betw @t71 @t184 @t1 @t2512 @t4584) (tptp.c_Fun_Obij__betw @t15 @t184 @t4655 @t2496 @t4584))))) % 47.09/47.31 (assume @p4933 (forall @t3976 (=> @t6156 @t6157))) % 47.09/47.31 (assume @p4934 (forall @t3975 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t71 @t184 @t15 @t2) @t290) @t294) (tptp.hAPP @t2 @t3948)))) % 47.09/47.31 (assume @p4935 (forall @t3977 (= (tptp.c_Product__Type_Ocurry @t15 @t71 @t184 @t3926) @t2))) % 47.09/47.31 (assume @p4936 (forall @t3977 (= (tptp.hAPP @t3925 (tptp.c_Product__Type_Ocurry @t15 @t71 @t184 @t2)) @t2))) % 47.09/47.31 (assume @p4937 (forall @t2727 (=> @t6155 @t5007))) % 47.09/47.31 (assume @p4938 (forall @t406 (=> @t6155 (= @t2950 @t2949)))) % 47.09/47.31 (assume @p4939 (forall @t2734 (=> (tptp.c_Fun_Obij__betw @t15 @t71 @t899 @t2496 @t2512) (= @t2733 @t2732)))) % 47.09/47.31 (assume @p4940 (forall (@list @t230 @t161 @t48 @t51 @t2 @t71 @t15) (=> @t6159 (=> (tptp.c_Fun_Obij__betw @t15 @t71 @t2 @t161 @t230) (=> (= (tptp.hAPP (tptp.hAPP @t931 @t48) @t230) @t377) (tptp.c_Fun_Obij__betw @t15 @t71 @t2 @t182 (tptp.hAPP (tptp.hAPP @t89 @t48) @t230))))))) % 47.09/47.31 (assume @p4941 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p4942 (forall @t6165 (=> @t6164 (tptp.class_Lattices_Obounded__lattice @t6163)))) % 47.09/47.31 (assume @p4943 (forall @t6165 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6161) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6163)))) % 47.09/47.31 (assume @p4944 (forall @t6165 (=> @t6164 (tptp.class_Lattices_Obounded__lattice__top @t6163)))) % 47.09/47.31 (assume @p4945 (forall @t6165 (=> @t6164 (tptp.class_Lattices_Obounded__lattice__bot @t6163)))) % 47.09/47.31 (assume @p4946 (forall @t6165 (=> @t6166 (tptp.class_Lattices_Osemilattice__sup @t6163)))) % 47.09/47.31 (assume @p4947 (forall @t6165 (=> @t6166 (tptp.class_Lattices_Osemilattice__inf @t6163)))) % 47.09/47.31 (assume @p4948 (forall @t6165 (=> (tptp.class_Lattices_Odistrib__lattice @t6161) (tptp.class_Lattices_Odistrib__lattice @t6163)))) % 47.09/47.31 (assume @p4949 (forall @t6165 (=> (tptp.class_Lattices_Oboolean__algebra @t6161) (tptp.class_Lattices_Oboolean__algebra @t6163)))) % 47.09/47.31 (assume @p4950 (forall @t6165 (=> (tptp.class_Orderings_Opreorder @t6161) (tptp.class_Orderings_Opreorder @t6163)))) % 47.09/47.31 (assume @p4951 (forall @t6169 (=> @t6168 (tptp.class_Finite__Set_Ofinite @t6163)))) % 47.09/47.31 (assume @p4952 (forall @t6165 (=> @t6166 (tptp.class_Lattices_Olattice @t6163)))) % 47.09/47.31 (assume @p4953 (forall @t6165 (=> (tptp.class_Orderings_Oorder @t6161) (tptp.class_Orderings_Oorder @t6163)))) % 47.09/47.31 (assume @p4954 (forall @t6165 (=> (tptp.class_Orderings_Otop @t6161) (tptp.class_Orderings_Otop @t6163)))) % 47.09/47.31 (assume @p4955 (forall @t6165 (=> (tptp.class_Orderings_Oord @t6161) (tptp.class_Orderings_Oord @t6163)))) % 47.09/47.31 (assume @p4956 (forall @t6165 (=> (tptp.class_Orderings_Obot @t6161) (tptp.class_Orderings_Obot @t6163)))) % 47.09/47.31 (assume @p4957 (forall @t6165 (=> (tptp.class_Groups_Ouminus @t6161) (tptp.class_Groups_Ouminus @t6163)))) % 47.09/47.31 (assume @p4958 (forall @t6165 (=> (tptp.class_Groups_Ominus @t6161) (tptp.class_Groups_Ominus @t6163)))) % 47.09/47.31 (assume @p4959 (forall @t6169 (=> @t6171 (tptp.class_Enum_Oenum @t6163)))) % 47.09/47.31 (assume @p4960 (tptp.class_Nat_Osize tptp.tc_Com_Ocom)) % 47.09/47.31 (assume @p4961 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4962 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4963 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4964 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4965 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4966 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4967 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4968 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4969 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4970 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4971 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4972 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4973 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4974 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4975 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4976 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4977 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4978 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4979 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4980 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4981 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4982 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4983 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4984 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4985 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4986 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4987 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4988 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4989 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4990 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4991 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4992 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4993 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4994 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4995 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4996 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4997 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4998 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p4999 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5000 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5001 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5002 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5003 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5004 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5005 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5006 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5007 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5008 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5009 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5010 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5011 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5012 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5013 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5014 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5015 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5016 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5017 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5018 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5019 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5020 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5021 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5022 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5023 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5024 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5025 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5026 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5027 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5028 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5029 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5030 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 47.09/47.31 (assume @p5031 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5032 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5033 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5034 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5035 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5036 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5037 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5038 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5039 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5040 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5041 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5042 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5043 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5044 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5045 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5046 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5047 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5048 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5049 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5050 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5051 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5052 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5053 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5054 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5055 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5056 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5057 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5058 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5059 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5060 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5061 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5062 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5063 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5064 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5065 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5066 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5067 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5068 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5069 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5070 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5071 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5072 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5073 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5074 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5075 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5076 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5077 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5078 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 47.09/47.31 (assume @p5079 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5080 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5082 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5083 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5084 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5085 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5086 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5087 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5088 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5089 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5090 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5091 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5092 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5093 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5094 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5095 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5096 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 47.09/47.31 (assume @p5097 (tptp.class_Nat_Osize tptp.tc_Com_Ostate)) % 47.09/47.31 (assume @p5098 (forall @t6174 (=> @t6173 (tptp.class_Lazy__Sequence_Osmall__lazy @t6172)))) % 47.09/47.31 (assume @p5099 (forall @t6174 (tptp.class_Nat_Osize @t6172))) % 47.09/47.31 (assume @p5100 (forall @t6169 (=> @t6168 (tptp.class_Finite__Set_Ofinite @t6175)))) % 47.09/47.31 (assume @p5101 (forall @t6169 (=> @t6171 (tptp.class_Enum_Oenum @t6175)))) % 47.09/47.31 (assume @p5102 (forall @t6169 (tptp.class_Nat_Osize @t6175))) % 47.09/47.31 (assume @p5103 (forall @t6174 (=> @t6167 (tptp.class_Finite__Set_Ofinite @t6176)))) % 47.09/47.31 (assume @p5104 (forall @t6174 (=> @t6170 (tptp.class_Enum_Oenum @t6176)))) % 47.09/47.31 (assume @p5105 (forall @t6174 (tptp.class_Nat_Osize @t6176))) % 47.09/47.31 (assume @p5106 (forall @t6169 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6162 @t6161)))) % 47.09/47.31 (assume @p5107 (forall @t6169 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6162) @t6173) (tptp.class_Lazy__Sequence_Osmall__lazy @t6177)))) % 47.09/47.31 (assume @p5108 (forall @t6169 (=> @t6168 (tptp.class_Finite__Set_Ofinite @t6177)))) % 47.09/47.31 (assume @p5109 (forall @t6169 (=> @t6171 (tptp.class_Enum_Oenum @t6177)))) % 47.09/47.31 (assume @p5110 (forall @t6169 (tptp.class_Nat_Osize @t6177))) % 47.09/47.31 (assume @p5111 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 47.09/47.31 (assume @p5112 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 47.09/47.31 (assume @p5113 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 47.09/47.31 (assume @p5114 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 47.09/47.31 (assume @p5115 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 47.09/47.31 (assume @p5116 (forall @t6174 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6161)))) % 47.09/47.31 (assume @p5117 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5118 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5119 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5120 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5121 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5122 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5123 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5124 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5125 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5126 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5127 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5128 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5129 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5130 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5131 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5132 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5133 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5134 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5135 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5136 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5137 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5138 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5139 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5140 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5141 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5142 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5143 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5144 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5145 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5146 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5147 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5148 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5149 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5150 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5151 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5152 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5153 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5154 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5155 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5156 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5157 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 47.09/47.31 (assume @p5158 (forall @t6174 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6161)))) % 47.09/47.31 (assume @p5159 (forall (@list @t255 @t76) (= (tptp.hAPP (tptp.c_COMBI @t76) @t255) @t255))) % 47.09/47.31 (assume @p5160 (forall (@list @t6178 @t255 @t15 @t76) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t76 @t15) @t255) @t6178) @t255))) % 47.09/47.31 (assume @p5161 (forall (@list @t387 @t34 @t35 @t184 @t15 @t71) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t185 @t35) @t34) @t387) (tptp.hAPP @t35 @t6179)))) % 47.09/47.31 (assume @p5162 (forall @t6181 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t824 @t35) @t34) @t387) (tptp.hAPP @t6180 @t34)))) % 47.09/47.33 (assume @p5163 (forall @t6181 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t71 @t184 @t15) @t35) @t34) @t387) (tptp.hAPP @t6180 @t6179)))) % 47.09/47.33 (assume @p5164 (forall @t2141 (or (not @t6182) @t129))) % 47.09/47.33 (assume @p5165 (forall @t2141 (or @t719 @t6182))) % 47.09/47.33 (assume @p5166 (not (tptp.hBOOL tptp.c_fFalse))) % 47.09/47.33 (assume @p5167 (tptp.hBOOL tptp.c_fTrue)) % 47.09/47.33 (assume @p5168 (forall @t2157 (or (not @t6185) @t6184))) % 47.09/47.33 (assume @p5169 (forall @t2157 (or (not @t6184) @t6185))) % 47.09/47.33 (assume @p5170 (forall @t6189 (or @t6184 @t6188 @t6186))) % 47.09/47.33 (assume @p5171 (forall @t6189 (or @t6190 @t6183))) % 47.09/47.33 (assume @p5172 (forall @t6189 (or @t6190 @t6187))) % 47.09/47.33 (assume @p5173 (forall @t6189 (or @t6184 @t6191))) % 47.09/47.33 (assume @p5174 (forall @t6192 (or @t6188 @t6191))) % 47.09/47.33 (assume @p5175 (forall @t6189 (or (not @t6191) @t6183 @t6187))) % 47.09/47.33 (assume @p5176 (forall @t6189 (or @t6183 @t6193))) % 47.09/47.33 (assume @p5177 (forall @t6192 (or @t6188 @t6193))) % 47.09/47.33 (assume @p5178 (forall @t6189 (or (not @t6193) @t6184 @t6187))) % 47.09/47.33 (assume @p5179 @t6203) % 47.09/47.33 (assume @p5180 (forall (@list @t6204) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6205 @t6202) @t6204)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a @t6204 @t6199)))) % 47.09/47.33 (assume @p5181 @t6206) % 47.09/47.33 (assume @p5182 (not @t6207)) % 47.09/47.33 (assume @p5183 true) % 47.09/47.33 (step @p5184 :rule aci_norm :args ((= (or @t6209 (or @t6208 @t20)) @t6210))) % 47.09/47.33 (step @p5185 :rule bool-impl-elim :args (@t28 @t20)) % 47.09/47.33 (step @p5186 :rule refl :args (@t6209)) % 47.09/47.33 (step @p5187 :rule nary_cong :premises (@p5186 @p5185) :args ((or @t6209 @t29))) % 47.09/47.33 (step @p5188 :rule trans :premises (@p5187 @p5184)) % 47.09/47.33 (step @p5189 :rule bool-impl-elim :args (@t30 @t29)) % 47.09/47.33 (step @p5190 :rule trans :premises (@p5189 @p5188)) % 47.09/47.33 (step @p5191 :rule cong :premises (@p5190) :args (@t32)) % 47.09/47.33 (step @p5192 :rule eq_resolve :premises (@p5 @p5191)) % 47.09/47.33 (step @p5193 :rule bool-impl-elim :args (@t45 @t42)) % 47.09/47.33 (step @p5194 :rule cong :premises (@p5193) :args (@t46)) % 47.09/47.33 (step @p5195 :rule eq_resolve :premises (@p6 @p5194)) % 47.09/47.33 (step @p5196 :rule instantiate :premises (@p5195) :args ((@list tptp.v_Procs tptp.v_Q tptp.v_P tptp.v_G tptp.t_a))) % 47.09/47.33 (step @p5197 :rule cnf_or_pos :args (@t6213)) % 47.09/47.33 (step @p5198 :rule reordering :premises (@p5197) :args ((or @t6212 @t6211 (not @t6213)))) % 47.09/47.33 (step @p5199 :rule chain_m_resolution :premises (@p5198 @p5179 @p5196) :args (@t6211 @t6214 (@list @t6203 @t6213))) % 47.09/47.33 (step @p5200 :rule bool-impl-elim :args (@t24 @t20)) % 47.09/47.33 (step @p5201 :rule cong :premises (@p5200) :args (@t25)) % 47.09/47.33 (step @p5202 :rule eq_resolve :premises (@p3 @p5201)) % 47.09/47.33 (step @p5203 :rule instantiate :premises (@p5202) :args ((@list tptp.v_Ga tptp.v_G tptp.t_a))) % 47.09/47.33 (step @p5204 :rule cnf_or_pos :args (@t6217)) % 47.09/47.33 (step @p5205 :rule reordering :premises (@p5204) :args ((or @t6216 @t6215 (not @t6217)))) % 47.09/47.33 (step @p5206 :rule chain_m_resolution :premises (@p5205 @p5181 @p5203) :args (@t6215 @t6214 (@list @t6206 @t6217))) % 47.09/47.33 (step @p5207 :rule cnf_or_pos :args (@t6220)) % 47.09/47.33 (step @p5208 :rule reordering :premises (@p5207) :args ((or @t6207 @t6218 @t6219 @t6221))) % 47.09/47.33 (step @p5209 :rule chain_m_resolution :premises (@p5208 @p5182 @p5206 @p5199) :args (@t6221 (@list true false false) (@list @t6207 @t6215 @t6211))) % 47.09/47.33 (assume-push @p5216 @t6222) % 47.09/47.33 (step @p5211 :rule instantiate :premises (@p5192) :args ((@list tptp.v_Ga @t6200 tptp.v_G tptp.t_a))) % 47.09/47.33 (step-pop @p5217 :rule scope :premises (@p5211)) % 47.09/47.33 (step @p5212 :rule process_scope :premises (@p5217) :args (@t6220)) % 47.09/47.33 (step @p5214 :rule implies_elim :premises (@p5212)) % 47.09/47.33 (step @p5215 false :rule chain_m_resolution :premises (@p5214 @p5209 @p5192) :args (false (@list true false) (@list @t6220 @t6222))) % 47.09/47.33 ) % 47.09/47.33 % SZS output end Proof % 47.09/47.33 % cvc5 exiting %------------------------------------------------------------------------------