%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW339+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 : n024.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 09:04:46 AM UTC 2026 % Result : Theorem 6.71s 6.97s % Output : Proof 1.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW339+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:48:00 EDT 2026 % 0.07/0.25 % CPUTime : % 1.62/1.85 %----Proving TF0_NAR, FOF, or CNF % 6.71/6.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.71/6.97 % SZS status Theorem % 6.71/6.97 % SZS output start Proof % 6.71/6.97 ( % 6.71/6.97 (declare-sort $$unsorted 0) % 6.71/6.97 (declare-const tptp.v_G $$unsorted) % 6.71/6.97 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Quotient_OBabs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.v_ts $$unsorted) % 6.71/6.97 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Opart__equivp (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Partial__Function_Ofun__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Predicate_Osymp (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Predicate_Otransp (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oall__interval__int (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Oyield (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Lazy__Sequence_Osmall__lazy (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Quotient_ORespects (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist__ex1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Nat_Osize (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_FunDef_Ois__measure (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Enum_Oenum__class_Oenum__all (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Omaps (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Enum_Oenum__the (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Enum_On__lists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Enum_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 6.71/6.97 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Oproduct (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 6.71/6.97 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Int_OInteg $$unsorted) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 6.71/6.97 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Int_Ointrel $$unsorted) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 6.71/6.97 (declare-const tptp.t_a $$unsorted) % 6.71/6.97 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 6.71/6.97 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 6.71/6.97 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 6.71/6.97 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 6.71/6.97 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_fTrue $$unsorted) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 6.71/6.97 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_fimplies $$unsorted) % 6.71/6.97 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oall__interval__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 6.71/6.97 (declare-const tptp.v_ts_H $$unsorted) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 6.71/6.97 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_Int_Oint $$unsorted) % 6.71/6.97 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_Nat_Onat $$unsorted) % 6.71/6.97 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat_OSuc $$unsorted) % 6.71/6.97 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_fequal $$unsorted) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 6.71/6.97 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Orderings_Oorder__class_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Oflat (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 6.71/6.97 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.tc_HOL_Obool $$unsorted) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_fconj $$unsorted) % 6.71/6.97 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 6.71/6.97 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Olfp (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 6.71/6.97 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 6.71/6.97 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 6.71/6.97 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.71/6.97 (declare-const tptp.c_Int_Onat $$unsorted) % 6.71/6.98 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Lazy__Sequence_Oyieldn (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Enum_Oenum__class_Oenum__ex (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Lazy__Sequence_Osmall__lazy_H__rel $$unsorted) % 6.71/6.98 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 6.71/6.98 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Int_OMin $$unsorted) % 6.71/6.98 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Enum_Osublists (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_FunDef_OTHE__default (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 6.71/6.98 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_New__Random__Sequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 6.71/6.98 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 6.71/6.98 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Set_OBex (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Int_OPls $$unsorted) % 6.71/6.98 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 6.71/6.98 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_fFalse $$unsorted) % 6.71/6.98 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_fNot $$unsorted) % 6.71/6.98 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_New__DSequence_Opos__union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_fdisj $$unsorted) % 6.71/6.98 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 6.71/6.98 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 6.71/6.98 (define @t1 () (@var "V_g_2" $$unsorted)) % 6.71/6.98 (define @t2 () (@var "V_f_2" $$unsorted)) % 6.71/6.98 (define @t3 () (@var "B_x" $$unsorted)) % 6.71/6.98 (define @t4 () (tptp.hAPP @t1 @t3)) % 6.71/6.98 (define @t5 () (tptp.hAPP @t2 @t3)) % 6.71/6.98 (define @t6 () (= @t5 @t4)) % 6.71/6.98 (define @t7 () (@list @t3)) % 6.71/6.98 (define @t8 () (@var "V_tsa_2" $$unsorted)) % 6.71/6.98 (define @t9 () (@var "V_Ga_2" $$unsorted)) % 6.71/6.98 (define @t10 () (@var "T_b" $$unsorted)) % 6.71/6.98 (define @t11 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t8)) % 6.71/6.98 (define @t12 () (tptp.tc_Hoare__Mirabelle_Otriple @t10)) % 6.71/6.98 (define @t13 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t14 () (tptp.c_Orderings_Oord__class_Oless__eq @t13)) % 6.71/6.98 (define @t15 () (tptp.hAPP @t14 @t8)) % 6.71/6.98 (define @t16 () (@var "V_ts_H_2" $$unsorted)) % 6.71/6.98 (define @t17 () (@var "V_G_H_2" $$unsorted)) % 6.71/6.98 (define @t18 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t17 @t8)) % 6.71/6.98 (define @t19 () (@list @t9 @t8 @t17 @t10)) % 6.71/6.98 (define @t20 () (@var "V_B_2" $$unsorted)) % 6.71/6.98 (define @t21 () (@var "V_A_2" $$unsorted)) % 6.71/6.98 (define @t22 () (= @t21 @t20)) % 6.71/6.98 (define @t23 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t24 () (tptp.c_Orderings_Oord__class_Oless__eq @t23)) % 6.71/6.98 (define @t25 () (tptp.hAPP @t24 @t20)) % 6.71/6.98 (define @t26 () (tptp.hBOOL (tptp.hAPP @t25 @t21))) % 6.71/6.98 (define @t27 () (tptp.hAPP @t24 @t21)) % 6.71/6.98 (define @t28 () (tptp.hBOOL (tptp.hAPP @t27 @t20))) % 6.71/6.98 (define @t29 () (@list @t20 @t21 @t10)) % 6.71/6.98 (define @t30 () (@var "V_x" $$unsorted)) % 6.71/6.98 (define @t31 () (@var "T_a" $$unsorted)) % 6.71/6.98 (define @t32 () (tptp.c_Orderings_Oord__class_Oless__eq @t31)) % 6.71/6.98 (define @t33 () (tptp.hAPP @t32 @t30)) % 6.71/6.98 (define @t34 () (tptp.class_Orderings_Opreorder @t31)) % 6.71/6.98 (define @t35 () (@list @t30 @t31)) % 6.71/6.98 (define @t36 () (@var "B_n" $$unsorted)) % 6.71/6.98 (define @t37 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t36 @t3)) % 6.71/6.98 (define @t38 () (tptp.hAPP (tptp.c_member @t12) @t3)) % 6.71/6.98 (define @t39 () (tptp.hBOOL (tptp.hAPP @t38 @t8))) % 6.71/6.98 (define @t40 () (@list @t36)) % 6.71/6.98 (define @t41 () (@var "T_c" $$unsorted)) % 6.71/6.98 (define @t42 () (tptp.c_Orderings_Oord__class_Oless__eq @t41)) % 6.71/6.98 (define @t43 () (tptp.hAPP @t42 @t5)) % 6.71/6.98 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t4))) % 6.71/6.98 (define @t45 () (forall @t7 @t44)) % 6.71/6.98 (define @t46 () (tptp.tc_fun @t10 @t41)) % 6.71/6.98 (define @t47 () (tptp.c_Orderings_Oord__class_Oless__eq @t46)) % 6.71/6.98 (define @t48 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t47 @t2) @t1))) % 6.71/6.98 (define @t49 () (tptp.class_Orderings_Oord @t41)) % 6.71/6.98 (define @t50 () (@list @t1 @t2 @t10 @t41)) % 6.71/6.98 (define @t51 () (@var "V_x_2" $$unsorted)) % 6.71/6.98 (define @t52 () (tptp.hAPP @t1 @t51)) % 6.71/6.98 (define @t53 () (tptp.hAPP @t2 @t51)) % 6.71/6.98 (define @t54 () (tptp.hAPP @t42 @t53)) % 6.71/6.98 (define @t55 () (@list @t21 @t10)) % 6.71/6.98 (define @t56 () (@list @t10 @t20 @t21)) % 6.71/6.98 (define @t57 () (@var "V_Q_2" $$unsorted)) % 6.71/6.98 (define @t58 () (tptp.hAPP @t57 @t51)) % 6.71/6.98 (define @t59 () (tptp.hBOOL @t58)) % 6.71/6.98 (define @t60 () (@var "V_P_2" $$unsorted)) % 6.71/6.98 (define @t61 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t60) @t57))) % 6.71/6.98 (define @t62 () (tptp.hAPP @t60 @t51)) % 6.71/6.98 (define @t63 () (tptp.hBOOL @t62)) % 6.71/6.98 (define @t64 () (@var "V_y" $$unsorted)) % 6.71/6.98 (define @t65 () (tptp.hAPP @t32 @t64)) % 6.71/6.98 (define @t66 () (tptp.hBOOL (tptp.hAPP @t65 @t30))) % 6.71/6.98 (define @t67 () (tptp.hBOOL (tptp.hAPP @t33 @t64))) % 6.71/6.98 (define @t68 () (tptp.class_Orderings_Olinorder @t31)) % 6.71/6.98 (define @t69 () (@list @t64 @t30 @t31)) % 6.71/6.98 (define @t70 () (@var "V_z" $$unsorted)) % 6.71/6.98 (define @t71 () (tptp.hAPP @t32 @t70)) % 6.71/6.98 (define @t72 () (tptp.hBOOL (tptp.hAPP @t71 @t30))) % 6.71/6.98 (define @t73 () (tptp.hBOOL (tptp.hAPP @t71 @t64))) % 6.71/6.98 (define @t74 () (tptp.class_Orderings_Oorder @t31)) % 6.71/6.98 (define @t75 () (@list @t70 @t30 @t64 @t31)) % 6.71/6.98 (define @t76 () (= @t30 @t64)) % 6.71/6.98 (define @t77 () (@list @t30 @t64 @t31)) % 6.71/6.98 (define @t78 () (tptp.hBOOL (tptp.hAPP @t33 @t70))) % 6.71/6.98 (define @t79 () (tptp.hBOOL (tptp.hAPP @t65 @t70))) % 6.71/6.98 (define @t80 () (@list @t70 @t64 @t30 @t31)) % 6.71/6.98 (define @t81 () (@var "V_a" $$unsorted)) % 6.71/6.98 (define @t82 () (@var "V_c" $$unsorted)) % 6.71/6.98 (define @t83 () (tptp.hAPP @t32 @t82)) % 6.71/6.98 (define @t84 () (tptp.hBOOL (tptp.hAPP @t83 @t81))) % 6.71/6.98 (define @t85 () (@var "V_b" $$unsorted)) % 6.71/6.98 (define @t86 () (= @t85 @t82)) % 6.71/6.98 (define @t87 () (tptp.hAPP @t32 @t85)) % 6.71/6.98 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t81))) % 6.71/6.98 (define @t89 () (@list @t82 @t81 @t85 @t31)) % 6.71/6.98 (define @t90 () (tptp.hAPP @t32 @t81)) % 6.71/6.98 (define @t91 () (tptp.hBOOL (tptp.hAPP @t90 @t82))) % 6.71/6.98 (define @t92 () (tptp.hBOOL (tptp.hAPP @t90 @t85))) % 6.71/6.98 (define @t93 () (tptp.class_Orderings_Oord @t31)) % 6.71/6.98 (define @t94 () (@list @t82 @t85 @t81 @t31)) % 6.71/6.98 (define @t95 () (= @t81 @t85)) % 6.71/6.98 (define @t96 () (tptp.hBOOL (tptp.hAPP @t87 @t82))) % 6.71/6.98 (define @t97 () (@var "V_y_2" $$unsorted)) % 6.71/6.98 (define @t98 () (= @t51 @t97)) % 6.71/6.98 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 6.71/6.98 (define @t100 () (tptp.hAPP @t99 @t51)) % 6.71/6.98 (define @t101 () (tptp.hBOOL (tptp.hAPP @t100 @t97))) % 6.71/6.98 (define @t102 () (= @t101 @t98)) % 6.71/6.98 (define @t103 () (tptp.hAPP @t99 @t97)) % 6.71/6.98 (define @t104 () (tptp.hBOOL (tptp.hAPP @t103 @t51))) % 6.71/6.98 (define @t105 () (tptp.class_Orderings_Oorder @t10)) % 6.71/6.98 (define @t106 () (@list @t51 @t97 @t10)) % 6.71/6.98 (define @t107 () (@list @t97 @t51 @t10)) % 6.71/6.98 (define @t108 () (@var "V_C_2" $$unsorted)) % 6.71/6.98 (define @t109 () (tptp.hBOOL (tptp.hAPP @t27 @t108))) % 6.71/6.98 (define @t110 () (tptp.hBOOL (tptp.hAPP @t25 @t108))) % 6.71/6.98 (define @t111 () (@list @t108 @t20 @t21 @t10)) % 6.71/6.98 (define @t112 () (tptp.c_Predicate_OPowp @t10 @t21)) % 6.71/6.98 (define @t113 () (tptp.tc_fun @t23 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t114 () (tptp.c_Orderings_Oord__class_Oless__eq @t113)) % 6.71/6.98 (define @t115 () (@var "V_n_2" $$unsorted)) % 6.71/6.98 (define @t116 () (tptp.hAPP tptp.c_Nat_OSuc @t115)) % 6.71/6.98 (define @t117 () (tptp.hAPP @t2 @t97)) % 6.71/6.98 (define @t118 () (tptp.hBOOL (tptp.hAPP @t54 @t117))) % 6.71/6.98 (define @t119 () (tptp.c_Orderings_Oorder__class_Ostrict__mono @t10 @t41 @t2)) % 6.71/6.98 (define @t120 () (tptp.class_Orderings_Olinorder @t10)) % 6.71/6.98 (define @t121 () (tptp.class_Orderings_Oorder @t41)) % 6.71/6.98 (define @t122 () (and @t121 @t120)) % 6.71/6.98 (define @t123 () (@list @t97 @t51 @t2 @t10 @t41)) % 6.71/6.98 (define @t124 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t10)) % 6.71/6.98 (define @t125 () (tptp.hAPP @t124 @t97)) % 6.71/6.98 (define @t126 () (tptp.hAPP @t124 @t51)) % 6.71/6.98 (define @t127 () (tptp.c_SetInterval_Oord__class_OlessThan @t10)) % 6.71/6.98 (define @t128 () (tptp.hAPP @t127 @t97)) % 6.71/6.98 (define @t129 () (tptp.hAPP @t127 @t51)) % 6.71/6.98 (define @t130 () (tptp.c_SetInterval_Oord__class_OatLeast @t10)) % 6.71/6.98 (define @t131 () (tptp.hAPP @t130 @t97)) % 6.71/6.98 (define @t132 () (tptp.hAPP @t130 @t51)) % 6.71/6.98 (define @t133 () (tptp.c_SetInterval_Oord__class_OatMost @t10)) % 6.71/6.98 (define @t134 () (tptp.hAPP @t133 @t97)) % 6.71/6.98 (define @t135 () (tptp.hAPP @t133 @t51)) % 6.71/6.98 (define @t136 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t41)) % 6.71/6.98 (define @t137 () (tptp.hAPP @t136 @t21)) % 6.71/6.98 (define @t138 () (tptp.hAPP @t137 @t2)) % 6.71/6.98 (define @t139 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t41)) % 6.71/6.98 (define @t140 () (@list @t2 @t20 @t21 @t10 @t41)) % 6.71/6.98 (define @t141 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t41)) % 6.71/6.98 (define @t142 () (tptp.hAPP @t141 @t21)) % 6.71/6.98 (define @t143 () (tptp.hAPP @t142 @t2)) % 6.71/6.98 (define @t144 () (tptp.c_Orderings_Otop__class_Otop @t31)) % 6.71/6.98 (define @t145 () (tptp.c_Orderings_Obot__class_Obot @t31)) % 6.71/6.98 (define @t146 () (tptp.c_Orderings_Obot__class_Obot @t23)) % 6.71/6.98 (define @t147 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 6.71/6.98 (define @t148 () (tptp.tc_fun @t41 @t10)) % 6.71/6.98 (define @t149 () (@list @t51 @t41 @t10)) % 6.71/6.98 (define @t150 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 6.71/6.98 (define @t151 () (@var "V_k_2" $$unsorted)) % 6.71/6.98 (define @t152 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t153 () (tptp.hAPP @t152 @t151)) % 6.71/6.98 (define @t154 () (tptp.hAPP tptp.c_Nat_OSuc @t151)) % 6.71/6.98 (define @t155 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t156 () (tptp.hAPP @t155 @t154)) % 6.71/6.98 (define @t157 () (@list @t151)) % 6.71/6.98 (define @t158 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t159 () (tptp.hAPP @t158 @t151)) % 6.71/6.98 (define @t160 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t161 () (tptp.hAPP @t160 @t154)) % 6.71/6.98 (define @t162 () (= @t53 @t117)) % 6.71/6.98 (define @t163 () (= @t162 @t98)) % 6.71/6.98 (define @t164 () (@list @t10)) % 6.71/6.98 (define @t165 () (tptp.c_Orderings_Otop__class_Otop @t23)) % 6.71/6.98 (define @t166 () (= @t21 @t146)) % 6.71/6.98 (define @t167 () (tptp.hAPP @t60 @t3)) % 6.71/6.98 (define @t168 () (tptp.hBOOL @t167)) % 6.71/6.98 (define @t169 () (tptp.c_member @t10)) % 6.71/6.98 (define @t170 () (tptp.hAPP @t169 @t3)) % 6.71/6.98 (define @t171 () (tptp.hBOOL (tptp.hAPP @t170 @t146))) % 6.71/6.98 (define @t172 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 6.71/6.98 (define @t173 () (@var "V_a_2" $$unsorted)) % 6.71/6.98 (define @t174 () (@list @t173 @t10)) % 6.71/6.98 (define @t175 () (@var "V_t" $$unsorted)) % 6.71/6.98 (define @t176 () (@var "V_n" $$unsorted)) % 6.71/6.98 (define @t177 () (tptp.hAPP tptp.c_Nat_OSuc @t176)) % 6.71/6.98 (define @t178 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t179 () (tptp.hAPP @t178 @t177)) % 6.71/6.98 (define @t180 () (@list @t176)) % 6.71/6.98 (define @t181 () (@var "V_m_2" $$unsorted)) % 6.71/6.98 (define @t182 () (tptp.hAPP @t178 @t116)) % 6.71/6.98 (define @t183 () (tptp.hBOOL (tptp.hAPP @t182 @t181))) % 6.71/6.98 (define @t184 () (tptp.hAPP @t178 @t181)) % 6.71/6.98 (define @t185 () (tptp.hBOOL (tptp.hAPP @t184 @t115))) % 6.71/6.98 (define @t186 () (not @t185)) % 6.71/6.98 (define @t187 () (@list @t115 @t181)) % 6.71/6.98 (define @t188 () (tptp.hBOOL (tptp.hAPP @t184 @t116))) % 6.71/6.98 (define @t189 () (tptp.hAPP @t178 @t115)) % 6.71/6.98 (define @t190 () (tptp.hBOOL (tptp.hAPP @t189 @t181))) % 6.71/6.98 (define @t191 () (tptp.hAPP tptp.c_Nat_OSuc @t181)) % 6.71/6.98 (define @t192 () (@list @t181 @t115)) % 6.71/6.98 (define @t193 () (@var "V_m" $$unsorted)) % 6.71/6.98 (define @t194 () (tptp.hAPP @t178 @t193)) % 6.71/6.98 (define @t195 () (tptp.hBOOL (tptp.hAPP @t194 @t177))) % 6.71/6.98 (define @t196 () (tptp.hBOOL (tptp.hAPP @t194 @t176))) % 6.71/6.98 (define @t197 () (@list @t176 @t193)) % 6.71/6.98 (define @t198 () (tptp.hAPP tptp.c_Nat_OSuc @t193)) % 6.71/6.98 (define @t199 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t198) @t176))) % 6.71/6.98 (define @t200 () (@list @t64 @t30)) % 6.71/6.98 (define @t201 () (@var "V_nat_H_2" $$unsorted)) % 6.71/6.98 (define @t202 () (@var "V_nat_2" $$unsorted)) % 6.71/6.98 (define @t203 () (tptp.hAPP tptp.c_Nat_OSuc @t202)) % 6.71/6.98 (define @t204 () (@list @t51 @t10)) % 6.71/6.98 (define @t205 () (tptp.hAPP @t178 @t176)) % 6.71/6.98 (define @t206 () (tptp.hBOOL (tptp.hAPP @t205 @t193))) % 6.71/6.98 (define @t207 () (= @t193 @t176)) % 6.71/6.98 (define @t208 () (@var "V_k" $$unsorted)) % 6.71/6.98 (define @t209 () (@var "V_i" $$unsorted)) % 6.71/6.98 (define @t210 () (tptp.hAPP @t178 @t209)) % 6.71/6.98 (define @t211 () (@var "V_j" $$unsorted)) % 6.71/6.98 (define @t212 () (tptp.hAPP @t178 @t211)) % 6.71/6.98 (define @t213 () (tptp.hBOOL (tptp.hAPP @t210 @t211))) % 6.71/6.98 (define @t214 () (@list @t208 @t211 @t209)) % 6.71/6.98 (define @t215 () (@var "V_n_H_2" $$unsorted)) % 6.71/6.98 (define @t216 () (tptp.hAPP @t2 @t115)) % 6.71/6.98 (define @t217 () (tptp.hAPP tptp.c_Nat_OSuc @t36)) % 6.71/6.98 (define @t218 () (tptp.hAPP @t2 @t36)) % 6.71/6.98 (define @t219 () (forall @t40 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t218) (tptp.hAPP @t2 @t217))))) % 6.71/6.98 (define @t220 () (@var "V_i_2" $$unsorted)) % 6.71/6.98 (define @t221 () (@var "V_inc_2" $$unsorted)) % 6.71/6.98 (define @t222 () (tptp.class_Rings_Osemiring__1 @t10)) % 6.71/6.98 (define @t223 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t10)) % 6.71/6.98 (define @t224 () (tptp.c_Set_OPow @t10)) % 6.71/6.98 (define @t225 () (tptp.hAPP @t224 @t20)) % 6.71/6.98 (define @t226 () (tptp.hAPP @t224 @t21)) % 6.71/6.98 (define @t227 () (@var "V_l_2" $$unsorted)) % 6.71/6.98 (define @t228 () (tptp.hAPP @t99 @t227)) % 6.71/6.98 (define @t229 () (tptp.hBOOL (tptp.hAPP @t228 @t151))) % 6.71/6.98 (define @t230 () (@list @t151 @t227 @t10)) % 6.71/6.98 (define @t231 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t151 @t227)) % 6.71/6.98 (define @t232 () (= @t231 @t146)) % 6.71/6.98 (define @t233 () (@list @t2 @t10)) % 6.71/6.98 (define @t234 () (@var "B_m" $$unsorted)) % 6.71/6.98 (define @t235 () (tptp.hAPP tptp.c_Nat_OSuc @t234)) % 6.71/6.98 (define @t236 () (@var "V_m_H" $$unsorted)) % 6.71/6.98 (define @t237 () (@list @t234)) % 6.71/6.98 (define @t238 () (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t20)) % 6.71/6.98 (define @t239 () (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t21)) % 6.71/6.98 (define @t240 () (tptp.hAPP @t24 @t239)) % 6.71/6.98 (define @t241 () (@list @t21 @t20 @t10)) % 6.71/6.98 (define @t242 () (tptp.c_Orderings_Obot__class_Obot @t113)) % 6.71/6.98 (define @t243 () (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t21)) % 6.71/6.98 (define @t244 () (tptp.hAPP @t114 @t21)) % 6.71/6.98 (define @t245 () (tptp.c_Orderings_Otop__class_Otop @t113)) % 6.71/6.98 (define @t246 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t41 @t2)) % 6.71/6.98 (define @t247 () (and @t121 @t105)) % 6.71/6.98 (define @t248 () (@var "V_b_2" $$unsorted)) % 6.71/6.98 (define @t249 () (tptp.hAPP @t99 @t3)) % 6.71/6.98 (define @t250 () (tptp.hBOOL (tptp.hAPP @t170 @t21))) % 6.71/6.98 (define @t251 () (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t249 @t248))))) % 6.71/6.98 (define @t252 () (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t21)) % 6.71/6.98 (define @t253 () (tptp.hAPP @t99 @t252)) % 6.71/6.98 (define @t254 () (@list @t248 @t21 @t10)) % 6.71/6.98 (define @t255 () (tptp.hAPP @t99 @t248)) % 6.71/6.98 (define @t256 () (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t255 @t3))))) % 6.71/6.98 (define @t257 () (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t21)) % 6.71/6.98 (define @t258 () (@list @t2 @t10 @t41)) % 6.71/6.98 (define @t259 () (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t20)) % 6.71/6.98 (define @t260 () (tptp.hAPP @t24 @t243)) % 6.71/6.98 (define @t261 () (@var "V_u_2" $$unsorted)) % 6.71/6.98 (define @t262 () (tptp.hAPP @t124 @t261)) % 6.71/6.98 (define @t263 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t227 @t261)) % 6.71/6.98 (define @t264 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t23)) % 6.71/6.98 (define @t265 () (@list @t261 @t227 @t10)) % 6.71/6.98 (define @t266 () (tptp.hAPP @t130 @t261)) % 6.71/6.98 (define @t267 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t227 @t261)) % 6.71/6.98 (define @t268 () (tptp.hAPP @t124 @t227)) % 6.71/6.98 (define @t269 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t23)) % 6.71/6.98 (define @t270 () (tptp.hBOOL (tptp.hAPP @t228 @t261))) % 6.71/6.98 (define @t271 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t181 @t261)) % 6.71/6.98 (define @t272 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t227 @t181)) % 6.71/6.98 (define @t273 () (tptp.hAPP @t264 @t272)) % 6.71/6.98 (define @t274 () (@list @t261 @t181 @t227 @t10)) % 6.71/6.98 (define @t275 () (tptp.hAPP @t133 @t227)) % 6.71/6.98 (define @t276 () (tptp.hAPP @t264 @t275)) % 6.71/6.98 (define @t277 () (tptp.hAPP @t133 @t261)) % 6.71/6.98 (define @t278 () (tptp.hAPP @t269 @t275)) % 6.71/6.98 (define @t279 () (tptp.c_member @t23)) % 6.71/6.98 (define @t280 () (tptp.hAPP @t279 @t21)) % 6.71/6.98 (define @t281 () (tptp.hBOOL (tptp.hAPP @t280 @t225))) % 6.71/6.98 (define @t282 () (@var "B_y" $$unsorted)) % 6.71/6.98 (define @t283 () (tptp.hAPP @t2 @t282)) % 6.71/6.98 (define @t284 () (@list @t3 @t282)) % 6.71/6.98 (define @t285 () (@var "V_f2_2" $$unsorted)) % 6.71/6.98 (define @t286 () (tptp.hAPP @t285 @t202)) % 6.71/6.98 (define @t287 () (@var "V_f1_2" $$unsorted)) % 6.71/6.98 (define @t288 () (@list @t202 @t285 @t287 @t10)) % 6.71/6.98 (define @t289 () (@var "V_d_2" $$unsorted)) % 6.71/6.98 (define @t290 () (tptp.hBOOL (tptp.hAPP @t255 @t289))) % 6.71/6.98 (define @t291 () (@var "V_c_2" $$unsorted)) % 6.71/6.98 (define @t292 () (tptp.hAPP @t99 @t291)) % 6.71/6.98 (define @t293 () (tptp.hBOOL (tptp.hAPP @t292 @t173))) % 6.71/6.98 (define @t294 () (and @t293 @t290)) % 6.71/6.98 (define @t295 () (tptp.hBOOL (tptp.hAPP @t255 @t173))) % 6.71/6.98 (define @t296 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t291) @t289)) % 6.71/6.98 (define @t297 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t173) @t248)) % 6.71/6.98 (define @t298 () (@list @t289 @t291 @t248 @t173 @t10)) % 6.71/6.98 (define @t299 () (tptp.hAPP @t133 @t151)) % 6.71/6.98 (define @t300 () (tptp.hAPP @t124 @t151)) % 6.71/6.98 (define @t301 () (tptp.c_Groups_Ouminus__class_Ouminus @t23)) % 6.71/6.98 (define @t302 () (@list @t151 @t10)) % 6.71/6.98 (define @t303 () (tptp.hAPP @t169 @t291)) % 6.71/6.98 (define @t304 () (tptp.hBOOL (tptp.hAPP @t303 @t20))) % 6.71/6.98 (define @t305 () (tptp.hBOOL (tptp.hAPP @t303 @t21))) % 6.71/6.98 (define @t306 () (not @t305)) % 6.71/6.98 (define @t307 () (=> @t306 @t304)) % 6.71/6.98 (define @t308 () (not @t304)) % 6.71/6.98 (define @t309 () (=> @t305 @t308)) % 6.71/6.98 (define @t310 () (tptp.hAPP @t269 @t21)) % 6.71/6.98 (define @t311 () (tptp.hAPP @t310 @t20)) % 6.71/6.98 (define @t312 () (tptp.hBOOL (tptp.hAPP @t311 @t51))) % 6.71/6.98 (define @t313 () (tptp.hAPP @t21 @t51)) % 6.71/6.98 (define @t314 () (tptp.hBOOL @t313)) % 6.71/6.98 (define @t315 () (tptp.hAPP @t20 @t51)) % 6.71/6.98 (define @t316 () (tptp.hBOOL @t315)) % 6.71/6.98 (define @t317 () (not @t316)) % 6.71/6.98 (define @t318 () (@list @t51 @t20 @t21 @t10)) % 6.71/6.98 (define @t319 () (tptp.hAPP @t264 @t21)) % 6.71/6.98 (define @t320 () (tptp.hAPP @t319 @t20)) % 6.71/6.98 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 @t51))) % 6.71/6.98 (define @t322 () (tptp.hAPP @t169 @t173)) % 6.71/6.98 (define @t323 () (=> @t305 @t304)) % 6.71/6.98 (define @t324 () (@list @t291 @t20 @t21 @t10)) % 6.71/6.98 (define @t325 () (forall @t324 (=> @t28 @t323))) % 6.71/6.98 (define @t326 () (tptp.hAPP @t169 @t51)) % 6.71/6.98 (define @t327 () (tptp.hBOOL (tptp.hAPP @t303 @t311))) % 6.71/6.98 (define @t328 () (@list @t21 @t20 @t291 @t10)) % 6.71/6.98 (define @t329 () (@list @t20 @t21 @t291 @t10)) % 6.71/6.98 (define @t330 () (tptp.hBOOL (tptp.hAPP @t303 @t320))) % 6.71/6.98 (define @t331 () (tptp.hAPP @t301 @t21)) % 6.71/6.98 (define @t332 () (tptp.hBOOL (tptp.hAPP @t303 @t331))) % 6.71/6.98 (define @t333 () (@list @t21 @t291 @t10)) % 6.71/6.98 (define @t334 () (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t108)) % 6.71/6.98 (define @t335 () (tptp.hAPP @t169 @t21)) % 6.71/6.98 (define @t336 () (tptp.hBOOL (tptp.hAPP @t335 @t334))) % 6.71/6.98 (define @t337 () (@var "V_X_2" $$unsorted)) % 6.71/6.98 (define @t338 () (tptp.hBOOL (tptp.hAPP @t335 @t337))) % 6.71/6.98 (define @t339 () (tptp.hAPP @t279 @t337)) % 6.71/6.98 (define @t340 () (tptp.hBOOL (tptp.hAPP @t339 @t108))) % 6.71/6.98 (define @t341 () (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t108)))) % 6.71/6.98 (define @t342 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t113)) % 6.71/6.98 (define @t343 () (tptp.hAPP (tptp.hAPP @t342 @t21) @t20)) % 6.71/6.98 (define @t344 () (tptp.hBOOL (tptp.hAPP @t322 @t21))) % 6.71/6.98 (define @t345 () (tptp.hAPP @t169 @t248)) % 6.71/6.98 (define @t346 () (tptp.hBOOL (tptp.hAPP @t345 @t21))) % 6.71/6.98 (define @t347 () (= @t173 @t248)) % 6.71/6.98 (define @t348 () (@list @t21 @t10 @t248 @t173)) % 6.71/6.98 (define @t349 () (tptp.hAPP @t169 @t97)) % 6.71/6.98 (define @t350 () (tptp.hBOOL (tptp.hAPP @t349 @t21))) % 6.71/6.98 (define @t351 () (tptp.hBOOL (tptp.hAPP @t326 @t21))) % 6.71/6.98 (define @t352 () (tptp.hBOOL (tptp.hAPP @t326 @t20))) % 6.71/6.98 (define @t353 () (tptp.hAPP @t269 @t108)) % 6.71/6.98 (define @t354 () (tptp.hAPP @t353 @t21)) % 6.71/6.98 (define @t355 () (tptp.hAPP @t269 @t20)) % 6.71/6.98 (define @t356 () (tptp.hAPP @t355 @t108)) % 6.71/6.98 (define @t357 () (tptp.hAPP @t264 @t311)) % 6.71/6.98 (define @t358 () (tptp.hAPP @t264 @t108)) % 6.71/6.98 (define @t359 () (tptp.hAPP @t358 @t21)) % 6.71/6.98 (define @t360 () (tptp.hAPP @t264 @t20)) % 6.71/6.98 (define @t361 () (tptp.hAPP @t360 @t108)) % 6.71/6.98 (define @t362 () (tptp.hAPP @t269 @t320)) % 6.71/6.98 (define @t363 () (tptp.hBOOL (tptp.hAPP @t170 @t20))) % 6.71/6.98 (define @t364 () (tptp.hBOOL (tptp.hAPP @t170 @t311))) % 6.71/6.98 (define @t365 () (@list @t60 @t20 @t21 @t10)) % 6.71/6.98 (define @t366 () (tptp.hAPP @t355 @t21)) % 6.71/6.98 (define @t367 () (@list @t21 @t108 @t20 @t10)) % 6.71/6.98 (define @t368 () (tptp.hAPP @t360 @t21)) % 6.71/6.98 (define @t369 () (tptp.hAPP @t310 @t356)) % 6.71/6.98 (define @t370 () (tptp.hAPP @t319 @t361)) % 6.71/6.98 (define @t371 () (tptp.hAPP @t301 @t20)) % 6.71/6.98 (define @t372 () (tptp.hAPP @t310 @t108)) % 6.71/6.98 (define @t373 () (tptp.hAPP @t319 @t108)) % 6.71/6.98 (define @t374 () (tptp.hAPP @t319 @t356)) % 6.71/6.98 (define @t375 () (tptp.hAPP tptp.c_fequal @t97)) % 6.71/6.98 (define @t376 () (@list @t21 @t51 @t10)) % 6.71/6.98 (define @t377 () (tptp.hAPP @t264 @t331)) % 6.71/6.98 (define @t378 () (tptp.hAPP @t269 @t331)) % 6.71/6.98 (define @t379 () (tptp.hAPP @t24 @t108)) % 6.71/6.98 (define @t380 () (tptp.hBOOL (tptp.hAPP @t379 @t21))) % 6.71/6.98 (define @t381 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t113)) % 6.71/6.98 (define @t382 () (tptp.hAPP (tptp.hAPP @t381 @t21) @t20)) % 6.71/6.98 (define @t383 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t227)) % 6.71/6.98 (define @t384 () (tptp.hAPP @t383 @t261)) % 6.71/6.98 (define @t385 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t181) @t261)) % 6.71/6.98 (define @t386 () (tptp.hAPP @t383 @t181)) % 6.71/6.98 (define @t387 () (tptp.hAPP @t269 @t386)) % 6.71/6.98 (define @t388 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t181) @t261))) % 6.71/6.98 (define @t389 () (tptp.hBOOL (tptp.hAPP @t228 @t181))) % 6.71/6.98 (define @t390 () (tptp.hAPP @t264 @t386)) % 6.71/6.98 (define @t391 () (tptp.hAPP @t2 @t20)) % 6.71/6.98 (define @t392 () (tptp.hAPP @t2 @t21)) % 6.71/6.98 (define @t393 () (tptp.tc_fun @t41 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t394 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t393)) % 6.71/6.98 (define @t395 () (tptp.c_Orderings_Oord__class_Oless__eq @t393)) % 6.71/6.98 (define @t396 () (tptp.c_Orderings_Oorder__class_Omono @t23 @t393 @t2)) % 6.71/6.98 (define @t397 () (@list @t20 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t398 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t393)) % 6.71/6.98 (define @t399 () (= @t320 @t146)) % 6.71/6.98 (define @t400 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t227 @t261)) % 6.71/6.98 (define @t401 () (tptp.hAPP tptp.c_Nat_OSuc @t227)) % 6.71/6.98 (define @t402 () (@list @t261 @t227)) % 6.71/6.98 (define @t403 () (tptp.hAPP @t127 @t261)) % 6.71/6.98 (define @t404 () (tptp.hAPP @t127 @t227)) % 6.71/6.98 (define @t405 () (tptp.hAPP @t269 @t404)) % 6.71/6.98 (define @t406 () (@list @t20 @t10)) % 6.71/6.98 (define @t407 () (= @t20 @t146)) % 6.71/6.98 (define @t408 () (@var "B_xa" $$unsorted)) % 6.71/6.98 (define @t409 () (= @t3 @t408)) % 6.71/6.98 (define @t410 () (not @t409)) % 6.71/6.98 (define @t411 () (tptp.hAPP @t169 @t408)) % 6.71/6.98 (define @t412 () (@list @t408)) % 6.71/6.98 (define @t413 () (tptp.hAPP @t264 @t3)) % 6.71/6.98 (define @t414 () (tptp.hAPP @t279 @t3)) % 6.71/6.98 (define @t415 () (@list @t21 @t108 @t10)) % 6.71/6.98 (define @t416 () (tptp.hAPP @t264 @t404)) % 6.71/6.98 (define @t417 () (tptp.hAPP @t130 @t227)) % 6.71/6.98 (define @t418 () (tptp.hAPP @t269 @t384)) % 6.71/6.98 (define @t419 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t227 @t181)) % 6.71/6.98 (define @t420 () (tptp.hAPP @t264 @t419)) % 6.71/6.98 (define @t421 () (@var "V_D_2" $$unsorted)) % 6.71/6.98 (define @t422 () (tptp.hAPP @t24 @t311)) % 6.71/6.98 (define @t423 () (tptp.hBOOL (tptp.hAPP @t25 @t421))) % 6.71/6.98 (define @t424 () (@list @t421 @t20 @t108 @t21 @t10)) % 6.71/6.98 (define @t425 () (@list @t20 @t108 @t21 @t10)) % 6.71/6.98 (define @t426 () (= @t311 @t20)) % 6.71/6.98 (define @t427 () (tptp.hAPP @t24 @t320)) % 6.71/6.98 (define @t428 () (@list @t20 @t21 @t108 @t10)) % 6.71/6.98 (define @t429 () (not @t250)) % 6.71/6.98 (define @t430 () (not @t166)) % 6.71/6.98 (define @t431 () (exists @t7 @t250)) % 6.71/6.98 (define @t432 () (not @t344)) % 6.71/6.98 (define @t433 () (@list @t20 @t21 @t51 @t10)) % 6.71/6.98 (define @t434 () (tptp.hAPP @t342 @t226)) % 6.71/6.98 (define @t435 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t20) @t21))) % 6.71/6.98 (define @t436 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t181 @t261)) % 6.71/6.98 (define @t437 () (tptp.hAPP @t269 @t272)) % 6.71/6.98 (define @t438 () (tptp.hAPP @t99 @t220)) % 6.71/6.98 (define @t439 () (tptp.hAPP @t169 @t220)) % 6.71/6.98 (define @t440 () (tptp.class_Orderings_Oord @t10)) % 6.71/6.98 (define @t441 () (@list @t151 @t220 @t10)) % 6.71/6.98 (define @t442 () (tptp.hAPP @t130 @t151)) % 6.71/6.98 (define @t443 () (tptp.hBOOL (tptp.hAPP @t240 @t20))) % 6.71/6.98 (define @t444 () (tptp.hAPP @t127 @t151)) % 6.71/6.98 (define @t445 () (= @t297 @t146)) % 6.71/6.98 (define @t446 () (@list @t173 @t248 @t10)) % 6.71/6.98 (define @t447 () (tptp.c_Groups_Ouminus__class_Ouminus @t31)) % 6.71/6.98 (define @t448 () (tptp.hAPP @t447 @t30)) % 6.71/6.98 (define @t449 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t31)) % 6.71/6.98 (define @t450 () (tptp.hAPP @t449 @t30)) % 6.71/6.98 (define @t451 () (tptp.hAPP @t450 @t64)) % 6.71/6.98 (define @t452 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31)) % 6.71/6.98 (define @t453 () (tptp.hAPP @t452 @t30)) % 6.71/6.98 (define @t454 () (tptp.hAPP @t453 @t64)) % 6.71/6.98 (define @t455 () (tptp.class_Lattices_Oboolean__algebra @t31)) % 6.71/6.98 (define @t456 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t41)) % 6.71/6.98 (define @t457 () (tptp.hAPP (tptp.hAPP @t456 @t392) @t391)) % 6.71/6.98 (define @t458 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t10)) % 6.71/6.98 (define @t459 () (tptp.hAPP @t458 @t21)) % 6.71/6.98 (define @t460 () (tptp.class_Lattices_Osemilattice__inf @t10)) % 6.71/6.98 (define @t461 () (tptp.class_Lattices_Osemilattice__inf @t41)) % 6.71/6.98 (define @t462 () (@list @t20 @t21 @t2 @t10 @t41)) % 6.71/6.98 (define @t463 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10)) % 6.71/6.98 (define @t464 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t41)) % 6.71/6.98 (define @t465 () (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t464 @t392) @t391))) % 6.71/6.98 (define @t466 () (tptp.class_Lattices_Osemilattice__sup @t10)) % 6.71/6.98 (define @t467 () (tptp.class_Lattices_Osemilattice__sup @t41)) % 6.71/6.98 (define @t468 () (tptp.hAPP @t449 @t448)) % 6.71/6.98 (define @t469 () (tptp.hAPP @t447 @t64)) % 6.71/6.98 (define @t470 () (tptp.hAPP @t452 @t448)) % 6.71/6.98 (define @t471 () (@list @t31)) % 6.71/6.98 (define @t472 () (tptp.hAPP @t449 @t64)) % 6.71/6.98 (define @t473 () (tptp.hAPP @t472 @t70)) % 6.71/6.98 (define @t474 () (tptp.hAPP @t450 @t473)) % 6.71/6.98 (define @t475 () (= (tptp.hAPP (tptp.hAPP @t449 @t451) @t70) @t474)) % 6.71/6.98 (define @t476 () (tptp.class_Lattices_Osemilattice__sup @t31)) % 6.71/6.98 (define @t477 () (tptp.class_Lattices_Olattice @t31)) % 6.71/6.98 (define @t478 () (tptp.hAPP @t449 @t85)) % 6.71/6.98 (define @t479 () (tptp.hAPP @t449 @t81)) % 6.71/6.98 (define @t480 () (tptp.hAPP @t479 (tptp.hAPP @t478 @t82))) % 6.71/6.98 (define @t481 () (tptp.hAPP @t479 @t85)) % 6.71/6.98 (define @t482 () (tptp.hAPP @t450 @t70)) % 6.71/6.98 (define @t483 () (= @t474 (tptp.hAPP @t472 @t482))) % 6.71/6.98 (define @t484 () (= (tptp.hAPP @t450 @t451) @t451)) % 6.71/6.98 (define @t485 () (@list @t85 @t81 @t31)) % 6.71/6.98 (define @t486 () (tptp.hAPP @t472 @t30)) % 6.71/6.98 (define @t487 () (= @t451 @t486)) % 6.71/6.98 (define @t488 () (= (tptp.hAPP @t450 @t30) @t30)) % 6.71/6.98 (define @t489 () (@list @t81 @t31)) % 6.71/6.98 (define @t490 () (tptp.hAPP @t452 @t64)) % 6.71/6.98 (define @t491 () (tptp.hAPP @t490 @t70)) % 6.71/6.98 (define @t492 () (tptp.hAPP @t453 @t491)) % 6.71/6.98 (define @t493 () (= (tptp.hAPP (tptp.hAPP @t452 @t454) @t70) @t492)) % 6.71/6.98 (define @t494 () (tptp.class_Lattices_Osemilattice__inf @t31)) % 6.71/6.98 (define @t495 () (tptp.hAPP @t452 @t85)) % 6.71/6.98 (define @t496 () (tptp.hAPP @t452 @t81)) % 6.71/6.98 (define @t497 () (tptp.hAPP @t496 (tptp.hAPP @t495 @t82))) % 6.71/6.98 (define @t498 () (tptp.hAPP @t496 @t85)) % 6.71/6.98 (define @t499 () (tptp.hAPP @t453 @t70)) % 6.71/6.98 (define @t500 () (= @t492 (tptp.hAPP @t490 @t499))) % 6.71/6.98 (define @t501 () (= (tptp.hAPP @t453 @t454) @t454)) % 6.71/6.98 (define @t502 () (tptp.hAPP @t490 @t30)) % 6.71/6.98 (define @t503 () (= @t454 @t502)) % 6.71/6.98 (define @t504 () (= (tptp.hAPP @t453 @t30) @t30)) % 6.71/6.98 (define @t505 () (tptp.c_Groups_Ouminus__class_Ouminus @t10)) % 6.71/6.98 (define @t506 () (tptp.hAPP @t505 @t97)) % 6.71/6.98 (define @t507 () (tptp.hAPP @t505 @t51)) % 6.71/6.98 (define @t508 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 6.71/6.98 (define @t509 () (tptp.hBOOL (tptp.hAPP @t33 @t451))) % 6.71/6.98 (define @t510 () (tptp.hBOOL (tptp.hAPP @t65 @t451))) % 6.71/6.98 (define @t511 () (tptp.hAPP @t463 @t51)) % 6.71/6.98 (define @t512 () (tptp.hAPP @t511 @t97)) % 6.71/6.98 (define @t513 () (@var "V_z_2" $$unsorted)) % 6.71/6.98 (define @t514 () (tptp.hBOOL (tptp.hAPP @t103 @t513))) % 6.71/6.98 (define @t515 () (tptp.hBOOL (tptp.hAPP @t100 @t513))) % 6.71/6.98 (define @t516 () (and @t515 @t514)) % 6.71/6.98 (define @t517 () (@list @t513 @t97 @t51 @t10)) % 6.71/6.98 (define @t518 () (tptp.hBOOL (tptp.hAPP @t33 @t481))) % 6.71/6.98 (define @t519 () (tptp.hBOOL (tptp.hAPP @t33 @t81))) % 6.71/6.98 (define @t520 () (@list @t85 @t81 @t30 @t31)) % 6.71/6.98 (define @t521 () (tptp.hBOOL (tptp.hAPP @t33 @t85))) % 6.71/6.98 (define @t522 () (@list @t81 @t85 @t30 @t31)) % 6.71/6.98 (define @t523 () (tptp.hAPP @t32 @t481)) % 6.71/6.98 (define @t524 () (tptp.hBOOL (tptp.hAPP @t523 @t30))) % 6.71/6.98 (define @t525 () (tptp.hBOOL (tptp.hAPP @t87 @t30))) % 6.71/6.98 (define @t526 () (tptp.hBOOL (tptp.hAPP @t90 @t30))) % 6.71/6.98 (define @t527 () (@list @t85 @t30 @t81 @t31)) % 6.71/6.98 (define @t528 () (@var "V_d" $$unsorted)) % 6.71/6.98 (define @t529 () (tptp.hBOOL (tptp.hAPP @t87 @t528))) % 6.71/6.98 (define @t530 () (@list @t528 @t85 @t82 @t81 @t31)) % 6.71/6.98 (define @t531 () (not (=> @t526 (not @t525)))) % 6.71/6.98 (define @t532 () (@list @t30 @t85 @t81 @t31)) % 6.71/6.98 (define @t533 () (tptp.hAPP @t32 @t454)) % 6.71/6.98 (define @t534 () (tptp.hBOOL (tptp.hAPP @t533 @t30))) % 6.71/6.98 (define @t535 () (tptp.hBOOL (tptp.hAPP @t533 @t64))) % 6.71/6.98 (define @t536 () (tptp.hAPP @t458 @t51)) % 6.71/6.98 (define @t537 () (tptp.hAPP @t536 @t97)) % 6.71/6.98 (define @t538 () (and @t101 @t515)) % 6.71/6.98 (define @t539 () (tptp.hAPP @t32 @t498)) % 6.71/6.98 (define @t540 () (tptp.hBOOL (tptp.hAPP @t539 @t30))) % 6.71/6.98 (define @t541 () (@list @t81 @t30 @t85 @t31)) % 6.71/6.98 (define @t542 () (tptp.hBOOL (tptp.hAPP @t33 @t498))) % 6.71/6.98 (define @t543 () (not (=> @t519 (not @t521)))) % 6.71/6.98 (define @t544 () (tptp.class_Lattices_Obounded__lattice__bot @t31)) % 6.71/6.98 (define @t545 () (tptp.class_Lattices_Odistrib__lattice @t31)) % 6.71/6.98 (define @t546 () (@list @t30 @t70 @t64 @t31)) % 6.71/6.98 (define @t547 () (tptp.hAPP (tptp.hAPP @t452 @t451) @t482)) % 6.71/6.98 (define @t548 () (tptp.hAPP @t450 @t491)) % 6.71/6.98 (define @t549 () (tptp.hAPP (tptp.hAPP @t449 @t454) @t499)) % 6.71/6.98 (define @t550 () (tptp.hAPP @t453 @t473)) % 6.71/6.98 (define @t551 () (tptp.class_Lattices_Obounded__lattice__top @t31)) % 6.71/6.98 (define @t552 () (tptp.class_Lattices_Olattice @t10)) % 6.71/6.98 (define @t553 () (@list @t51 @t1 @t2 @t41 @t10)) % 6.71/6.98 (define @t554 () (@list @t51 @t21 @t41 @t10)) % 6.71/6.98 (define @t555 () (@var "V_less__eq_2" $$unsorted)) % 6.71/6.98 (define @t556 () (tptp.hAPP @t555 @t220)) % 6.71/6.98 (define @t557 () (@list @t151 @t555 @t220 @t10)) % 6.71/6.98 (define @t558 () (@var "V_less_2" $$unsorted)) % 6.71/6.98 (define @t559 () (tptp.hAPP @t558 @t220)) % 6.71/6.98 (define @t560 () (@list @t151 @t558 @t220 @t10)) % 6.71/6.98 (define @t561 () (tptp.hBOOL (tptp.hAPP @t556 @t261))) % 6.71/6.98 (define @t562 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t555 @t227) @t220))) % 6.71/6.98 (define @t563 () (tptp.hBOOL (tptp.hAPP @t559 @t261))) % 6.71/6.98 (define @t564 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t558 @t227) @t220))) % 6.71/6.98 (define @t565 () (@list @t261 @t227 @t558 @t555 @t220 @t10)) % 6.71/6.98 (define @t566 () (tptp.hAPP @t505 @t173)) % 6.71/6.98 (define @t567 () (tptp.hAPP @t505 @t248)) % 6.71/6.98 (define @t568 () (tptp.hAPP @t99 @t173)) % 6.71/6.98 (define @t569 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 6.71/6.98 (define @t570 () (@list @t248 @t173 @t10)) % 6.71/6.98 (define @t571 () (tptp.hAPP @t99 @t567)) % 6.71/6.98 (define @t572 () (tptp.hAPP @t99 @t566)) % 6.71/6.98 (define @t573 () (tptp.hBOOL (tptp.hAPP @t572 @t248))) % 6.71/6.98 (define @t574 () (tptp.hAPP @t447 @t81)) % 6.71/6.98 (define @t575 () (tptp.class_Groups_Ogroup__add @t31)) % 6.71/6.98 (define @t576 () (= @t173 @t567)) % 6.71/6.98 (define @t577 () (tptp.class_Groups_Ogroup__add @t10)) % 6.71/6.98 (define @t578 () (tptp.hAPP @t447 @t85)) % 6.71/6.98 (define @t579 () (tptp.class_Groups_Oordered__ab__group__add @t31)) % 6.71/6.98 (define @t580 () (tptp.hBOOL (tptp.hAPP @t568 @t248))) % 6.71/6.98 (define @t581 () (@var "B_X" $$unsorted)) % 6.71/6.98 (define @t582 () (tptp.hAPP @t24 @t581)) % 6.71/6.98 (define @t583 () (tptp.hAPP @t279 @t581)) % 6.71/6.98 (define @t584 () (tptp.hBOOL (tptp.hAPP @t583 @t21))) % 6.71/6.98 (define @t585 () (@list @t581)) % 6.71/6.98 (define @t586 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t227 @t261)) % 6.71/6.98 (define @t587 () (tptp.hBOOL (tptp.hAPP @t335 @t581))) % 6.71/6.98 (define @t588 () (tptp.hBOOL (tptp.hAPP @t583 @t108))) % 6.71/6.98 (define @t589 () (@list @t108 @t21 @t10)) % 6.71/6.98 (define @t590 () (tptp.hAPP @t269 @t267)) % 6.71/6.98 (define @t591 () (tptp.c_Orderings_Oord__class_Oless @t10)) % 6.71/6.98 (define @t592 () (tptp.hAPP @t591 @t227)) % 6.71/6.98 (define @t593 () (tptp.hBOOL (tptp.hAPP @t592 @t261))) % 6.71/6.98 (define @t594 () (tptp.c_Set_Oinsert @t10)) % 6.71/6.98 (define @t595 () (tptp.hAPP @t269 (tptp.hAPP (tptp.hAPP @t594 @t227) @t146))) % 6.71/6.98 (define @t596 () (tptp.hAPP @t591 @t181)) % 6.71/6.98 (define @t597 () (tptp.hBOOL (tptp.hAPP @t596 @t261))) % 6.71/6.98 (define @t598 () (@list @t115 @t10)) % 6.71/6.98 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t600 () (tptp.hAPP @t599 @t198)) % 6.71/6.98 (define @t601 () (tptp.hBOOL (tptp.hAPP @t600 @t177))) % 6.71/6.98 (define @t602 () (tptp.hAPP @t599 @t193)) % 6.71/6.98 (define @t603 () (tptp.hBOOL (tptp.hAPP @t602 @t176))) % 6.71/6.98 (define @t604 () (tptp.hAPP @t599 @t176)) % 6.71/6.98 (define @t605 () (not @t347)) % 6.71/6.98 (define @t606 () (tptp.hAPP @t594 @t248)) % 6.71/6.98 (define @t607 () (tptp.hAPP @t606 @t21)) % 6.71/6.98 (define @t608 () (tptp.hBOOL (tptp.hAPP @t322 @t607))) % 6.71/6.98 (define @t609 () (@list @t21 @t248 @t173 @t10)) % 6.71/6.98 (define @t610 () (tptp.hAPP @t606 @t20)) % 6.71/6.98 (define @t611 () (tptp.hBOOL (tptp.hAPP @t322 @t610))) % 6.71/6.98 (define @t612 () (tptp.hBOOL (tptp.hAPP @t322 @t20))) % 6.71/6.98 (define @t613 () (not @t612)) % 6.71/6.98 (define @t614 () (@list @t248 @t20 @t173 @t10)) % 6.71/6.98 (define @t615 () (tptp.hBOOL (tptp.hAPP @t292 @t289))) % 6.71/6.98 (define @t616 () (tptp.hAPP @t591 @t248)) % 6.71/6.98 (define @t617 () (tptp.hAPP @t591 @t291)) % 6.71/6.98 (define @t618 () (not @t580)) % 6.71/6.98 (define @t619 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t291 @t289)) % 6.71/6.98 (define @t620 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t173 @t248)) % 6.71/6.98 (define @t621 () (tptp.c_Orderings_Oord__class_Oless @t23)) % 6.71/6.98 (define @t622 () (tptp.c_Orderings_Oord__class_Oless @t31)) % 6.71/6.98 (define @t623 () (tptp.hAPP @t622 @t30)) % 6.71/6.98 (define @t624 () (tptp.hAPP @t591 @t97)) % 6.71/6.98 (define @t625 () (tptp.hBOOL (tptp.hAPP @t624 @t51))) % 6.71/6.98 (define @t626 () (tptp.hAPP @t591 @t51)) % 6.71/6.98 (define @t627 () (tptp.hBOOL (tptp.hAPP @t626 @t97))) % 6.71/6.98 (define @t628 () (not @t98)) % 6.71/6.98 (define @t629 () (not @t627)) % 6.71/6.98 (define @t630 () (tptp.hAPP @t622 @t64)) % 6.71/6.98 (define @t631 () (tptp.hBOOL (tptp.hAPP @t630 @t30))) % 6.71/6.98 (define @t632 () (tptp.hBOOL (tptp.hAPP @t623 @t64))) % 6.71/6.98 (define @t633 () (tptp.hAPP @t594 @t51)) % 6.71/6.98 (define @t634 () (tptp.hAPP @t633 @t21)) % 6.71/6.98 (define @t635 () (tptp.hAPP @t594 @t97)) % 6.71/6.98 (define @t636 () (tptp.hAPP @t635 @t21)) % 6.71/6.98 (define @t637 () (@list @t21 @t97 @t51 @t10)) % 6.71/6.98 (define @t638 () (= @t97 @t51)) % 6.71/6.98 (define @t639 () (= @t629 @t98)) % 6.71/6.98 (define @t640 () (not @t632)) % 6.71/6.98 (define @t641 () (not @t76)) % 6.71/6.98 (define @t642 () (=> @t641 (=> @t640 @t631))) % 6.71/6.98 (define @t643 () (tptp.hAPP @t622 @t85)) % 6.71/6.98 (define @t644 () (tptp.hBOOL (tptp.hAPP @t643 @t81))) % 6.71/6.98 (define @t645 () (tptp.hAPP @t622 @t81)) % 6.71/6.98 (define @t646 () (tptp.hBOOL (tptp.hAPP @t645 @t85))) % 6.71/6.98 (define @t647 () (@list @t81 @t85 @t31)) % 6.71/6.98 (define @t648 () (tptp.hBOOL (tptp.hAPP @t645 @t82))) % 6.71/6.98 (define @t649 () (tptp.hBOOL (tptp.hAPP @t643 @t82))) % 6.71/6.98 (define @t650 () (tptp.hAPP @t622 @t82)) % 6.71/6.98 (define @t651 () (tptp.hBOOL (tptp.hAPP @t650 @t81))) % 6.71/6.98 (define @t652 () (tptp.hBOOL (tptp.hAPP @t623 @t70))) % 6.71/6.98 (define @t653 () (=> (tptp.hBOOL (tptp.hAPP @t630 @t70)) @t652)) % 6.71/6.98 (define @t654 () (tptp.hAPP @t622 @t70)) % 6.71/6.98 (define @t655 () (tptp.hBOOL (tptp.hAPP @t654 @t30))) % 6.71/6.98 (define @t656 () (=> (tptp.hBOOL (tptp.hAPP @t654 @t64)) @t655)) % 6.71/6.98 (define @t657 () (tptp.hAPP @t594 @t173)) % 6.71/6.98 (define @t658 () (tptp.hAPP @t657 @t146)) % 6.71/6.98 (define @t659 () (= @t248 @t291)) % 6.71/6.98 (define @t660 () (and @t347 @t659)) % 6.71/6.98 (define @t661 () (tptp.hAPP @t594 @t291)) % 6.71/6.98 (define @t662 () (@list @t291 @t248 @t173 @t10)) % 6.71/6.98 (define @t663 () (= @t620 @t146)) % 6.71/6.98 (define @t664 () (tptp.hBOOL (tptp.hAPP @t616 @t173))) % 6.71/6.98 (define @t665 () (@list @t115 @t181 @t10)) % 6.71/6.98 (define @t666 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t181 @t115)) % 6.71/6.98 (define @t667 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t668 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t181 @t116)) % 6.71/6.98 (define @t669 () (tptp.hAPP @t657 @t20)) % 6.71/6.98 (define @t670 () (@list @t20 @t173 @t10)) % 6.71/6.98 (define @t671 () (or @t347 @t344)) % 6.71/6.98 (define @t672 () (tptp.hAPP @t633 @t20)) % 6.71/6.98 (define @t673 () (not @t352)) % 6.71/6.98 (define @t674 () (not @t351)) % 6.71/6.98 (define @t675 () (tptp.hAPP @t657 @t21)) % 6.71/6.98 (define @t676 () (@list @t21 @t173 @t10)) % 6.71/6.98 (define @t677 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t46) @t2) @t1))) % 6.71/6.98 (define @t678 () (not @t95)) % 6.71/6.98 (define @t679 () (tptp.hAPP @t621 @t21)) % 6.71/6.98 (define @t680 () (tptp.hBOOL (tptp.hAPP @t679 @t20))) % 6.71/6.98 (define @t681 () (tptp.hAPP @t606 @t146)) % 6.71/6.98 (define @t682 () (= @t248 @t289)) % 6.71/6.98 (define @t683 () (= @t173 @t291)) % 6.71/6.98 (define @t684 () (and @t683 @t682)) % 6.71/6.98 (define @t685 () (tptp.hAPP @t657 @t681)) % 6.71/6.98 (define @t686 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t227 @t261)) % 6.71/6.98 (define @t687 () (@list @t20 @t173 @t21 @t10)) % 6.71/6.98 (define @t688 () (tptp.hAPP @t657 @t320)) % 6.71/6.98 (define @t689 () (@list @t20 @t21 @t173 @t10)) % 6.71/6.98 (define @t690 () (tptp.hBOOL (tptp.hAPP @t623 @t481))) % 6.71/6.98 (define @t691 () (tptp.hBOOL (tptp.hAPP @t623 @t85))) % 6.71/6.98 (define @t692 () (tptp.hBOOL (tptp.hAPP @t623 @t81))) % 6.71/6.98 (define @t693 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t498) @t30))) % 6.71/6.98 (define @t694 () (tptp.hBOOL (tptp.hAPP @t643 @t30))) % 6.71/6.98 (define @t695 () (tptp.hBOOL (tptp.hAPP @t645 @t30))) % 6.71/6.98 (define @t696 () (tptp.hAPP @t591 @t173)) % 6.71/6.98 (define @t697 () (tptp.hBOOL (tptp.hAPP @t696 @t248))) % 6.71/6.98 (define @t698 () (tptp.hAPP @t591 @t567)) % 6.71/6.98 (define @t699 () (tptp.hAPP @t591 @t566)) % 6.71/6.98 (define @t700 () (tptp.hBOOL (tptp.hAPP @t699 @t248))) % 6.71/6.98 (define @t701 () (tptp.hBOOL (tptp.hAPP @t679 @t108))) % 6.71/6.98 (define @t702 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t621 @t20) @t108)) @t701)) % 6.71/6.98 (define @t703 () (tptp.hBOOL (tptp.hAPP @t600 @t176))) % 6.71/6.98 (define @t704 () (not @t603)) % 6.71/6.98 (define @t705 () (tptp.hBOOL (tptp.hAPP @t602 @t177))) % 6.71/6.98 (define @t706 () (tptp.hAPP tptp.c_Nat_OSuc @t209)) % 6.71/6.98 (define @t707 () (tptp.hAPP @t599 @t211)) % 6.71/6.98 (define @t708 () (tptp.hBOOL (tptp.hAPP @t707 @t208))) % 6.71/6.98 (define @t709 () (tptp.hAPP @t599 @t209)) % 6.71/6.98 (define @t710 () (tptp.hBOOL (tptp.hAPP @t709 @t211))) % 6.71/6.98 (define @t711 () (tptp.hBOOL (tptp.hAPP @t604 @t193))) % 6.71/6.98 (define @t712 () (@list @t193 @t176)) % 6.71/6.98 (define @t713 () (= @t115 @t181)) % 6.71/6.98 (define @t714 () (tptp.hAPP @t599 @t115)) % 6.71/6.98 (define @t715 () (tptp.hBOOL (tptp.hAPP @t714 @t191))) % 6.71/6.98 (define @t716 () (= @t715 @t713)) % 6.71/6.98 (define @t717 () (tptp.hBOOL (tptp.hAPP @t714 @t181))) % 6.71/6.98 (define @t718 () (not @t717)) % 6.71/6.98 (define @t719 () (tptp.hAPP @t599 @t181)) % 6.71/6.98 (define @t720 () (tptp.hBOOL (tptp.hAPP @t719 @t115))) % 6.71/6.98 (define @t721 () (= @t181 @t115)) % 6.71/6.98 (define @t722 () (or @t720 @t721)) % 6.71/6.98 (define @t723 () (tptp.hBOOL (tptp.hAPP @t719 @t116))) % 6.71/6.98 (define @t724 () (not @t207)) % 6.71/6.98 (define @t725 () (not @t721)) % 6.71/6.98 (define @t726 () (= @t297 @t296)) % 6.71/6.98 (define @t727 () (tptp.hBOOL (tptp.hAPP @t617 @t289))) % 6.71/6.98 (define @t728 () (@var "V_S_2" $$unsorted)) % 6.71/6.98 (define @t729 () (tptp.hBOOL (tptp.hAPP @t170 @t728))) % 6.71/6.98 (define @t730 () (and @t223 @t120)) % 6.71/6.98 (define @t731 () (tptp.hAPP @t591 @t3)) % 6.71/6.98 (define @t732 () (tptp.c_Orderings_Oord__class_Oless @t41)) % 6.71/6.98 (define @t733 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t732 @t53) @t117))) % 6.71/6.98 (define @t734 () (= @t248 @t173)) % 6.71/6.98 (define @t735 () (tptp.hBOOL (tptp.hAPP @t345 @t658))) % 6.71/6.98 (define @t736 () (tptp.hBOOL (tptp.hAPP @t27 @t672))) % 6.71/6.98 (define @t737 () (tptp.hAPP @t319 @t669)) % 6.71/6.98 (define @t738 () (=> @t432 (= @t737 @t320))) % 6.71/6.98 (define @t739 () (=> @t344 (= @t737 @t688))) % 6.71/6.98 (define @t740 () (tptp.hAPP (tptp.hAPP @t264 @t669) @t108)) % 6.71/6.98 (define @t741 () (tptp.hBOOL (tptp.hAPP @t322 @t108))) % 6.71/6.98 (define @t742 () (=> (not @t741) (= @t740 @t361))) % 6.71/6.98 (define @t743 () (=> @t741 (= @t740 (tptp.hAPP @t657 @t361)))) % 6.71/6.98 (define @t744 () (@list @t20 @t108 @t173 @t10)) % 6.71/6.98 (define @t745 () (tptp.hAPP @t633 @t146)) % 6.71/6.98 (define @t746 () (@list @t51 @t21 @t10)) % 6.71/6.98 (define @t747 () (tptp.hAPP (tptp.hAPP @t594 @t261) @t146)) % 6.71/6.98 (define @t748 () (tptp.hAPP @t463 @t173)) % 6.71/6.98 (define @t749 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t191) @t115))) % 6.71/6.98 (define @t750 () (not @t697)) % 6.71/6.98 (define @t751 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t227 @t261)) % 6.71/6.98 (define @t752 () (tptp.hAPP tptp.c_Nat_OSuc @t261)) % 6.71/6.98 (define @t753 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t227)) % 6.71/6.98 (define @t754 () (tptp.hAPP @t458 @t173)) % 6.71/6.98 (define @t755 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t227 @t181)) % 6.71/6.98 (define @t756 () (tptp.hAPP @t269 @t755)) % 6.71/6.98 (define @t757 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t758 () (tptp.c_Orderings_Obot__class_Obot @t757)) % 6.71/6.98 (define @t759 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t181)) % 6.71/6.98 (define @t760 () (@list @t181)) % 6.71/6.98 (define @t761 () (tptp.c_Set_Oinsert @t23)) % 6.71/6.98 (define @t762 () (tptp.hAPP (tptp.hAPP @t761 @t173) @t20)) % 6.71/6.98 (define @t763 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t181 @t261)) % 6.71/6.98 (define @t764 () (tptp.hAPP @t269 @t419)) % 6.71/6.98 (define @t765 () (tptp.hBOOL (tptp.hAPP @t592 @t181))) % 6.71/6.98 (define @t766 () (tptp.hAPP @t591 @t151)) % 6.71/6.98 (define @t767 () (not (tptp.hBOOL (tptp.hAPP @t766 @t227)))) % 6.71/6.98 (define @t768 () (@list @t227 @t151 @t10)) % 6.71/6.98 (define @t769 () (tptp.hAPP @t155 @t151)) % 6.71/6.98 (define @t770 () (tptp.hAPP @t667 @t151)) % 6.71/6.98 (define @t771 () (@var "V_t_2" $$unsorted)) % 6.71/6.98 (define @t772 () (tptp.hAPP (tptp.c_Set_Oinsert @t12) @t771)) % 6.71/6.98 (define @t773 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t772 @t8))) % 6.71/6.98 (define @t774 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 (tptp.hAPP @t772 @t172))) % 6.71/6.98 (define @t775 () (@list @t8 @t771 @t9 @t10)) % 6.71/6.98 (define @t776 () (tptp.hAPP @t667 @t154)) % 6.71/6.98 (define @t777 () (tptp.hAPP @t748 @t248)) % 6.71/6.98 (define @t778 () (tptp.hAPP @t754 @t248)) % 6.71/6.98 (define @t779 () (tptp.hAPP @t759 @t116)) % 6.71/6.98 (define @t780 () (tptp.hAPP @t759 @t115)) % 6.71/6.98 (define @t781 () (tptp.hAPP (tptp.hAPP @t761 @t21) (tptp.hAPP (tptp.hAPP @t761 @t20) @t242))) % 6.71/6.98 (define @t782 () (tptp.hAPP @t264 @t755)) % 6.71/6.98 (define @t783 () (=> @t674 @t28)) % 6.71/6.98 (define @t784 () (tptp.c_Groups_Ominus__class_Ominus @t23)) % 6.71/6.98 (define @t785 () (tptp.hAPP @t784 @t21)) % 6.71/6.98 (define @t786 () (tptp.hAPP @t785 @t745)) % 6.71/6.98 (define @t787 () (@list @t20 @t51 @t21 @t10)) % 6.71/6.98 (define @t788 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t786) @t20))) % 6.71/6.98 (define @t789 () (tptp.hAPP @t99 @t513)) % 6.71/6.98 (define @t790 () (@list @t513 @t21 @t10)) % 6.71/6.98 (define @t791 () (@var "V_F_2" $$unsorted)) % 6.71/6.98 (define @t792 () (tptp.hAPP (tptp.hAPP @t761 @t51) @t791)) % 6.71/6.98 (define @t793 () (tptp.hAPP @t279 @t51)) % 6.71/6.98 (define @t794 () (tptp.c_Set_Oimage @t41 @t10 @t2)) % 6.71/6.98 (define @t795 () (tptp.hAPP @t794 @t21)) % 6.71/6.98 (define @t796 () (tptp.c_member @t41)) % 6.71/6.98 (define @t797 () (tptp.hAPP @t796 @t51)) % 6.71/6.98 (define @t798 () (tptp.hBOOL (tptp.hAPP @t797 @t21))) % 6.71/6.98 (define @t799 () (= @t248 @t53)) % 6.71/6.98 (define @t800 () (tptp.hAPP @t785 @t20)) % 6.71/6.98 (define @t801 () (tptp.hBOOL (tptp.hAPP @t303 @t800))) % 6.71/6.98 (define @t802 () (tptp.hAPP @t599 @t30)) % 6.71/6.98 (define @t803 () (tptp.hBOOL (tptp.hAPP @t802 @t64))) % 6.71/6.98 (define @t804 () (@var "V_s" $$unsorted)) % 6.71/6.98 (define @t805 () (tptp.hAPP @t60 @t115)) % 6.71/6.98 (define @t806 () (tptp.hBOOL (tptp.hAPP @t805 @t181))) % 6.71/6.98 (define @t807 () (tptp.c_Groups_Ominus__class_Ominus @t10)) % 6.71/6.98 (define @t808 () (tptp.c_Groups_Ominus__class_Ominus @t393)) % 6.71/6.98 (define @t809 () (tptp.hAPP @t808 @t21)) % 6.71/6.98 (define @t810 () (tptp.hAPP @t809 @t20)) % 6.71/6.98 (define @t811 () (tptp.hAPP @t794 @t20)) % 6.71/6.98 (define @t812 () (tptp.hAPP @t784 @t800)) % 6.71/6.98 (define @t813 () (= @t291 @t289)) % 6.71/6.98 (define @t814 () (tptp.hAPP (tptp.hAPP @t807 @t173) @t248)) % 6.71/6.98 (define @t815 () (= @t814 (tptp.hAPP (tptp.hAPP @t807 @t291) @t289))) % 6.71/6.98 (define @t816 () (tptp.class_Groups_Oab__group__add @t10)) % 6.71/6.98 (define @t817 () (tptp.hAPP (tptp.c_Set_Oimage @t393 @t23 @t794) (tptp.hAPP (tptp.c_Set_OPow @t41) @t21))) % 6.71/6.98 (define @t818 () (tptp.c_Set_Oimage @t10 @t41 @t2)) % 6.71/6.98 (define @t819 () (tptp.hAPP @t818 @t21)) % 6.71/6.98 (define @t820 () (tptp.hAPP @t796 @t248)) % 6.71/6.98 (define @t821 () (@list @t2 @t41 @t21 @t51 @t10)) % 6.71/6.98 (define @t822 () (tptp.hAPP @t796 @t3)) % 6.71/6.98 (define @t823 () (tptp.hBOOL (tptp.hAPP @t822 @t21))) % 6.71/6.98 (define @t824 () (tptp.hAPP @t169 @t513)) % 6.71/6.98 (define @t825 () (tptp.c_Orderings_Obot__class_Obot @t393)) % 6.71/6.98 (define @t826 () (= @t21 @t825)) % 6.71/6.98 (define @t827 () (@list @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t828 () (@list @t21 @t2 @t10 @t41)) % 6.71/6.98 (define @t829 () (tptp.hAPP @t2 @t173)) % 6.71/6.98 (define @t830 () (tptp.c_Set_Oinsert @t41)) % 6.71/6.98 (define @t831 () (tptp.hAPP @t830 @t173)) % 6.71/6.98 (define @t832 () (tptp.hAPP @t831 @t20)) % 6.71/6.98 (define @t833 () (tptp.hAPP @t818 @t20)) % 6.71/6.98 (define @t834 () (tptp.hAPP @t395 @t819)) % 6.71/6.98 (define @t835 () (tptp.hBOOL (tptp.hAPP @t834 @t833))) % 6.71/6.98 (define @t836 () (@list @t2 @t41 @t20 @t21 @t10)) % 6.71/6.98 (define @t837 () (@var "B_AA" $$unsorted)) % 6.71/6.98 (define @t838 () (tptp.hBOOL (tptp.hAPP @t25 @t795))) % 6.71/6.98 (define @t839 () (@list @t21 @t2 @t41 @t20 @t10)) % 6.71/6.98 (define @t840 () (tptp.c_Groups_Ominus__class_Ominus @t31)) % 6.71/6.98 (define @t841 () (tptp.hAPP @t840 @t85)) % 6.71/6.98 (define @t842 () (tptp.hAPP @t841 @t81)) % 6.71/6.98 (define @t843 () (tptp.hAPP @t840 @t81)) % 6.71/6.98 (define @t844 () (tptp.hAPP @t843 @t85)) % 6.71/6.98 (define @t845 () (tptp.class_Groups_Oab__group__add @t31)) % 6.71/6.98 (define @t846 () (tptp.hAPP @t394 @t21)) % 6.71/6.98 (define @t847 () (tptp.hAPP @t846 @t20)) % 6.71/6.98 (define @t848 () (tptp.hAPP @t784 @t108)) % 6.71/6.98 (define @t849 () (tptp.hAPP @t784 @t20)) % 6.71/6.98 (define @t850 () (tptp.hAPP @t24 @t800)) % 6.71/6.98 (define @t851 () (tptp.hAPP @t849 @t108)) % 6.71/6.98 (define @t852 () (tptp.hAPP @t785 @t108)) % 6.71/6.98 (define @t853 () (tptp.hAPP @t849 @t21)) % 6.71/6.98 (define @t854 () (tptp.hAPP @t310 @t853)) % 6.71/6.98 (define @t855 () (tptp.hAPP @t784 @t373)) % 6.71/6.98 (define @t856 () (tptp.hAPP @t855 @t361)) % 6.71/6.98 (define @t857 () (tptp.hAPP @t264 @t800)) % 6.71/6.98 (define @t858 () (tptp.c_Orderings_Otop__class_Otop @t393)) % 6.71/6.98 (define @t859 () (tptp.hAPP @t794 @t858)) % 6.71/6.98 (define @t860 () (tptp.hAPP @t169 @t53)) % 6.71/6.98 (define @t861 () (tptp.hAPP @t840 @t30)) % 6.71/6.98 (define @t862 () (tptp.hAPP @t861 @t64)) % 6.71/6.98 (define @t863 () (tptp.hAPP @t398 @t21)) % 6.71/6.98 (define @t864 () (tptp.hAPP @t863 @t20)) % 6.71/6.98 (define @t865 () (tptp.c_Set_Oimage @t10 @t10 @t505)) % 6.71/6.98 (define @t866 () (tptp.hAPP @t784 @t634)) % 6.71/6.98 (define @t867 () (tptp.hAPP @t866 @t20)) % 6.71/6.98 (define @t868 () (=> @t352 (= @t867 @t800))) % 6.71/6.98 (define @t869 () (@list @t21 @t20 @t51 @t10)) % 6.71/6.98 (define @t870 () (tptp.hAPP @t785 @t658)) % 6.71/6.98 (define @t871 () (tptp.hAPP @t657 @t870)) % 6.71/6.98 (define @t872 () (tptp.hAPP @t785 @t669)) % 6.71/6.98 (define @t873 () (tptp.hAPP @t269 @t800)) % 6.71/6.98 (define @t874 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t220)) % 6.71/6.98 (define @t875 () (tptp.c_Groups_Ominus__class_Ominus @t757)) % 6.71/6.98 (define @t876 () (tptp.hAPP (tptp.hAPP @t594 @t151) @t146)) % 6.71/6.98 (define @t877 () (tptp.c_Groups_Ouminus__class_Ouminus @t393)) % 6.71/6.98 (define @t878 () (tptp.hAPP @t877 @t21)) % 6.71/6.98 (define @t879 () (= @t859 @t165)) % 6.71/6.98 (define @t880 () (@var "B_f" $$unsorted)) % 6.71/6.98 (define @t881 () (@list @t880)) % 6.71/6.98 (define @t882 () (tptp.hAPP @t178 @t30)) % 6.71/6.98 (define @t883 () (tptp.hBOOL (tptp.hAPP @t882 @t64))) % 6.71/6.98 (define @t884 () (tptp.hAPP @t53 @t97)) % 6.71/6.98 (define @t885 () (@list @t97 @t513 @t2 @t41 @t21 @t51 @t10)) % 6.71/6.98 (define @t886 () (tptp.c_Finite__Set_Ofold__graph @t10 @t41 @t2 @t513 @t21)) % 6.71/6.98 (define @t887 () (@list @t97 @t51 @t21 @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t888 () (tptp.c_Fun_Ofun__upd @t10 @t41 @t2 @t51 @t97)) % 6.71/6.98 (define @t889 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t888) @t21)) % 6.71/6.98 (define @t890 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t891 () (tptp.hAPP @t667 @t890)) % 6.71/6.98 (define @t892 () (tptp.hAPP @t891 @t758)) % 6.71/6.98 (define @t893 () (@var "B_b" $$unsorted)) % 6.71/6.98 (define @t894 () (tptp.hAPP @t169 @t893)) % 6.71/6.98 (define @t895 () (tptp.hBOOL (tptp.hAPP @t894 @t853))) % 6.71/6.98 (define @t896 () (@list @t893)) % 6.71/6.98 (define @t897 () (tptp.hBOOL (tptp.hAPP @t60 @t220))) % 6.71/6.98 (define @t898 () (@var "B_i" $$unsorted)) % 6.71/6.98 (define @t899 () (tptp.hAPP @t60 @t898)) % 6.71/6.98 (define @t900 () (tptp.hBOOL @t899)) % 6.71/6.98 (define @t901 () (tptp.hAPP tptp.c_Nat_OSuc @t898)) % 6.71/6.98 (define @t902 () (@var "V_j_2" $$unsorted)) % 6.71/6.98 (define @t903 () (tptp.hAPP @t599 @t898)) % 6.71/6.98 (define @t904 () (tptp.hBOOL (tptp.hAPP @t903 @t902))) % 6.71/6.98 (define @t905 () (@list @t898)) % 6.71/6.98 (define @t906 () (tptp.hAPP @t178 @t220)) % 6.71/6.98 (define @t907 () (tptp.hBOOL (tptp.hAPP @t906 @t902))) % 6.71/6.98 (define @t908 () (@list @t51 @t2 @t41 @t10)) % 6.71/6.98 (define @t909 () (tptp.hAPP @t178 @t890)) % 6.71/6.98 (define @t910 () (tptp.hAPP @t599 @t890)) % 6.71/6.98 (define @t911 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t912 () (tptp.hAPP @t911 @t115)) % 6.71/6.98 (define @t913 () (tptp.hAPP @t912 @t181)) % 6.71/6.98 (define @t914 () (tptp.hAPP @t911 @t193)) % 6.71/6.98 (define @t915 () (tptp.hAPP @t914 @t176)) % 6.71/6.98 (define @t916 () (tptp.hAPP @t599 @t915)) % 6.71/6.98 (define @t917 () (tptp.hBOOL (tptp.hAPP @t910 @t193))) % 6.71/6.98 (define @t918 () (tptp.hBOOL (tptp.hAPP @t910 @t176))) % 6.71/6.98 (define @t919 () (tptp.hAPP @t911 @t176)) % 6.71/6.98 (define @t920 () (tptp.hAPP @t919 @t193)) % 6.71/6.98 (define @t921 () (= @t915 @t890)) % 6.71/6.98 (define @t922 () (@list @t193)) % 6.71/6.98 (define @t923 () (tptp.hAPP @t911 @t181)) % 6.71/6.98 (define @t924 () (tptp.hAPP @t923 @t115)) % 6.71/6.98 (define @t925 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 6.71/6.98 (define @t926 () (= @t51 @t925)) % 6.71/6.98 (define @t927 () (tptp.c_Fun_Ofun__upd @t41 @t10 @t2 @t51 @t97)) % 6.71/6.98 (define @t928 () (= @t53 @t97)) % 6.71/6.98 (define @t929 () (tptp.hAPP @t2 @t513)) % 6.71/6.98 (define @t930 () (tptp.hAPP @t888 @t513)) % 6.71/6.98 (define @t931 () (= @t513 @t51)) % 6.71/6.98 (define @t932 () (=> (not @t931) (= @t930 @t929))) % 6.71/6.98 (define @t933 () (@list @t97 @t2 @t41 @t10 @t51 @t513)) % 6.71/6.98 (define @t934 () (@list @t513 @t97 @t51 @t2 @t41 @t10)) % 6.71/6.98 (define @t935 () (@list @t97 @t51 @t2 @t41 @t10)) % 6.71/6.98 (define @t936 () (tptp.hAPP tptp.c_Nat_OSuc @t890)) % 6.71/6.98 (define @t937 () (@var "V_a2_2" $$unsorted)) % 6.71/6.98 (define @t938 () (@var "V_a1_2" $$unsorted)) % 6.71/6.98 (define @t939 () (@list @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t940 () (tptp.hAPP @t911 @t198)) % 6.71/6.98 (define @t941 () (tptp.hAPP @t940 @t176)) % 6.71/6.98 (define @t942 () (@list @t208 @t176 @t193)) % 6.71/6.98 (define @t943 () (@var "V_l" $$unsorted)) % 6.71/6.98 (define @t944 () (tptp.hAPP @t911 @t943)) % 6.71/6.98 (define @t945 () (tptp.hAPP @t944 @t193)) % 6.71/6.98 (define @t946 () (tptp.hAPP @t944 @t176)) % 6.71/6.98 (define @t947 () (@list @t943 @t176 @t193)) % 6.71/6.98 (define @t948 () (tptp.hAPP @t911 @t211)) % 6.71/6.98 (define @t949 () (tptp.hAPP @t912 @t151)) % 6.71/6.98 (define @t950 () (tptp.hAPP @t923 @t151)) % 6.71/6.98 (define @t951 () (tptp.hAPP @t178 @t151)) % 6.71/6.98 (define @t952 () (tptp.hBOOL (tptp.hAPP @t951 @t115))) % 6.71/6.98 (define @t953 () (tptp.hBOOL (tptp.hAPP @t951 @t181))) % 6.71/6.98 (define @t954 () (@list @t115 @t181 @t151)) % 6.71/6.98 (define @t955 () (tptp.hAPP @t178 @t208)) % 6.71/6.98 (define @t956 () (tptp.hBOOL (tptp.hAPP @t955 @t176))) % 6.71/6.98 (define @t957 () (@list @t176 @t193 @t208)) % 6.71/6.98 (define @t958 () (tptp.hAPP @t919 @t209)) % 6.71/6.98 (define @t959 () (@list @t176 @t209)) % 6.71/6.98 (define @t960 () (tptp.c_Groups_Ozero__class_Ozero @t31)) % 6.71/6.98 (define @t961 () (= @t814 @t925)) % 6.71/6.98 (define @t962 () (= @t173 @t925)) % 6.71/6.98 (define @t963 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 6.71/6.98 (define @t964 () (tptp.c_Orderings_Otop__class_Otop @t757)) % 6.71/6.98 (define @t965 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.71/6.98 (define @t966 () (@var "V_nat_H_1" $$unsorted)) % 6.71/6.98 (define @t967 () (@var "V_nat_H" $$unsorted)) % 6.71/6.98 (define @t968 () (= @t176 @t890)) % 6.71/6.98 (define @t969 () (not @t968)) % 6.71/6.98 (define @t970 () (tptp.hBOOL (tptp.hAPP @t910 @t115))) % 6.71/6.98 (define @t971 () (= @t115 @t890)) % 6.71/6.98 (define @t972 () (not @t971)) % 6.71/6.98 (define @t973 () (@list @t115)) % 6.71/6.98 (define @t974 () (tptp.c_Finite__Set_Ofold__graph @t10 @t41 @t2 @t513 @t146)) % 6.71/6.98 (define @t975 () (= @t51 @t513)) % 6.71/6.98 (define @t976 () (@list @t285 @t287 @t10)) % 6.71/6.98 (define @t977 () (tptp.hAPP @t155 @t115)) % 6.71/6.98 (define @t978 () (tptp.hAPP @t155 @t116)) % 6.71/6.98 (define @t979 () (tptp.hAPP tptp.c_Nat_OSuc @t902)) % 6.71/6.98 (define @t980 () (tptp.hAPP tptp.c_Nat_OSuc @t220)) % 6.71/6.98 (define @t981 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t220)) % 6.71/6.98 (define @t982 () (tptp.hAPP @t981 @t902)) % 6.71/6.98 (define @t983 () (@list @t902 @t220)) % 6.71/6.98 (define @t984 () (@list @t82 @t85 @t81)) % 6.71/6.98 (define @t985 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t220 @t902)) % 6.71/6.98 (define @t986 () (tptp.hBOOL (tptp.hAPP @t568 @t925))) % 6.71/6.98 (define @t987 () (tptp.hAPP @t99 @t925)) % 6.71/6.98 (define @t988 () (tptp.hBOOL (tptp.hAPP @t987 @t173))) % 6.71/6.98 (define @t989 () (tptp.hAPP @t591 @t925)) % 6.71/6.98 (define @t990 () (tptp.hBOOL (tptp.hAPP @t989 @t173))) % 6.71/6.98 (define @t991 () (tptp.hBOOL (tptp.hAPP @t696 @t925))) % 6.71/6.98 (define @t992 () (= @t115 @t235)) % 6.71/6.98 (define @t993 () (@var "B_j" $$unsorted)) % 6.71/6.98 (define @t994 () (tptp.hAPP @t599 @t993)) % 6.71/6.98 (define @t995 () (@list @t993)) % 6.71/6.98 (define @t996 () (= @t181 @t890)) % 6.71/6.98 (define @t997 () (tptp.c_Finite__Set_Ofold__graph @t10 @t41 @t2 @t513 @t634)) % 6.71/6.98 (define @t998 () (tptp.hBOOL (tptp.hAPP @t886 @t97))) % 6.71/6.98 (define @t999 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t890)) % 6.71/6.98 (define @t1000 () (tptp.hAPP @t999 @t115)) % 6.71/6.98 (define @t1001 () (tptp.hAPP @t152 @t115)) % 6.71/6.98 (define @t1002 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t890 @t115)) % 6.71/6.98 (define @t1003 () (tptp.c_member tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t1004 () (tptp.hAPP @t1003 @t3)) % 6.71/6.98 (define @t1005 () (tptp.hBOOL (tptp.hAPP @t1004 @t1002))) % 6.71/6.98 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t60 @t234))) % 6.71/6.98 (define @t1007 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t234) @t115))) % 6.71/6.98 (define @t1008 () (@list @t60 @t115)) % 6.71/6.98 (define @t1009 () (tptp.hBOOL (tptp.hAPP @t1004 @t1000))) % 6.71/6.98 (define @t1010 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t234) @t115))) % 6.71/6.98 (define @t1011 () (tptp.class_Rings_Olinordered__idom @t10)) % 6.71/6.98 (define @t1012 () (tptp.hAPP @t594 @t3)) % 6.71/6.98 (define @t1013 () (tptp.hAPP @t1012 @t146)) % 6.71/6.98 (define @t1014 () (@var "V_a4_2" $$unsorted)) % 6.71/6.98 (define @t1015 () (@var "V_a3_2" $$unsorted)) % 6.71/6.98 (define @t1016 () (@var "V_a5_2" $$unsorted)) % 6.71/6.98 (define @t1017 () (tptp.hAPP (tptp.hAPP @t1015 @t938) @t1016)) % 6.71/6.98 (define @t1018 () (= @t937 @t146)) % 6.71/6.98 (define @t1019 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 6.71/6.98 (define @t1020 () (not @t346)) % 6.71/6.98 (define @t1021 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1019 @t248 @t21)) % 6.71/6.98 (define @t1022 () (tptp.class_Groups_Oab__semigroup__mult @t10)) % 6.71/6.98 (define @t1023 () (tptp.hAPP @t818 @t800)) % 6.71/6.98 (define @t1024 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t20)) % 6.71/6.98 (define @t1025 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t21)) % 6.71/6.98 (define @t1026 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t311)) % 6.71/6.98 (define @t1027 () (@list @t2 @t41 @t10)) % 6.71/6.98 (define @t1028 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t1029 () (tptp.hAPP @t1028 @t176)) % 6.71/6.98 (define @t1030 () (tptp.hAPP @t1029 @t208)) % 6.71/6.98 (define @t1031 () (tptp.hAPP @t1028 @t193)) % 6.71/6.98 (define @t1032 () (tptp.hAPP @t1031 @t208)) % 6.71/6.98 (define @t1033 () (tptp.hAPP @t911 @t209)) % 6.71/6.98 (define @t1034 () (tptp.hAPP @t1033 @t211)) % 6.71/6.98 (define @t1035 () (tptp.hAPP (tptp.hAPP @t911 @t1034) @t208)) % 6.71/6.98 (define @t1036 () (tptp.hAPP @t1028 @t208)) % 6.71/6.98 (define @t1037 () (tptp.hAPP @t1036 @t176)) % 6.71/6.98 (define @t1038 () (tptp.hAPP @t1036 @t193)) % 6.71/6.98 (define @t1039 () (= @t85 @t960)) % 6.71/6.98 (define @t1040 () (= @t81 @t960)) % 6.71/6.98 (define @t1041 () (tptp.c_Groups_Otimes__class_Otimes @t31)) % 6.71/6.98 (define @t1042 () (tptp.hAPP @t1041 @t81)) % 6.71/6.98 (define @t1043 () (tptp.hAPP @t1042 @t85)) % 6.71/6.98 (define @t1044 () (= @t1043 @t960)) % 6.71/6.98 (define @t1045 () (tptp.class_Rings_Ono__zero__divisors @t31)) % 6.71/6.98 (define @t1046 () (not @t1039)) % 6.71/6.98 (define @t1047 () (not @t1040)) % 6.71/6.98 (define @t1048 () (= @t248 @t925)) % 6.71/6.98 (define @t1049 () (tptp.hAPP @t1019 @t173)) % 6.71/6.98 (define @t1050 () (tptp.hAPP @t1049 @t248)) % 6.71/6.98 (define @t1051 () (tptp.hAPP @t2 @t408)) % 6.71/6.98 (define @t1052 () (tptp.hBOOL (tptp.hAPP @t411 @t21))) % 6.71/6.98 (define @t1053 () (= (tptp.hAPP @t1042 @t960) @t960)) % 6.71/6.98 (define @t1054 () (tptp.class_Rings_Omult__zero @t31)) % 6.71/6.98 (define @t1055 () (= (tptp.hAPP (tptp.hAPP @t1041 @t960) @t81) @t960)) % 6.71/6.98 (define @t1056 () (tptp.hAPP @t1019 @t248)) % 6.71/6.98 (define @t1057 () (tptp.class_Rings_Oidom @t10)) % 6.71/6.98 (define @t1058 () (tptp.hAPP @t1041 @t574)) % 6.71/6.98 (define @t1059 () (tptp.class_Rings_Oring @t31)) % 6.71/6.98 (define @t1060 () (tptp.hAPP @t1042 @t578)) % 6.71/6.98 (define @t1061 () (tptp.hAPP @t1058 @t85)) % 6.71/6.98 (define @t1062 () (tptp.hAPP @t447 @t1043)) % 6.71/6.98 (define @t1063 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t31)) % 6.71/6.98 (define @t1064 () (tptp.hAPP @t1041 @t30)) % 6.71/6.98 (define @t1065 () (tptp.hAPP @t1064 @t30)) % 6.71/6.98 (define @t1066 () (tptp.hAPP @t1042 @t81)) % 6.71/6.98 (define @t1067 () (tptp.hAPP @t1041 @t85)) % 6.71/6.98 (define @t1068 () (tptp.hAPP @t1067 @t82)) % 6.71/6.98 (define @t1069 () (@list @t97 @t51 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t1070 () (not @t162)) % 6.71/6.98 (define @t1071 () (@var "V_N_2" $$unsorted)) % 6.71/6.98 (define @t1072 () (@list @t1071)) % 6.71/6.98 (define @t1073 () (@list @t21 @t20 @t2 @t41 @t10)) % 6.71/6.98 (define @t1074 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t165)) % 6.71/6.98 (define @t1075 () (= @t151 @t890)) % 6.71/6.98 (define @t1076 () (or @t721 @t1075)) % 6.71/6.98 (define @t1077 () (tptp.hAPP @t1028 @t115)) % 6.71/6.98 (define @t1078 () (tptp.hAPP @t1077 @t151)) % 6.71/6.98 (define @t1079 () (tptp.hAPP @t1028 @t181)) % 6.71/6.98 (define @t1080 () (tptp.hAPP @t1079 @t151)) % 6.71/6.98 (define @t1081 () (@list @t115 @t151 @t181)) % 6.71/6.98 (define @t1082 () (tptp.hAPP @t1028 @t151)) % 6.71/6.98 (define @t1083 () (tptp.hAPP @t1082 @t115)) % 6.71/6.98 (define @t1084 () (tptp.hAPP @t1082 @t181)) % 6.71/6.98 (define @t1085 () (= @t1084 @t1083)) % 6.71/6.98 (define @t1086 () (tptp.hAPP @t1079 @t115)) % 6.71/6.98 (define @t1087 () (tptp.hAPP @t1028 @t154)) % 6.71/6.98 (define @t1088 () (tptp.hAPP @t1087 @t115)) % 6.71/6.98 (define @t1089 () (tptp.hAPP @t1087 @t181)) % 6.71/6.98 (define @t1090 () (tptp.hAPP @t1031 @t193)) % 6.71/6.98 (define @t1091 () (tptp.hAPP @t1028 @t211)) % 6.71/6.98 (define @t1092 () (tptp.hAPP @t1091 @t208)) % 6.71/6.98 (define @t1093 () (tptp.hAPP @t1028 @t209)) % 6.71/6.98 (define @t1094 () (tptp.hAPP @t1093 @t208)) % 6.71/6.98 (define @t1095 () (tptp.hAPP @t178 @t1094)) % 6.71/6.98 (define @t1096 () (tptp.hAPP @t1036 @t211)) % 6.71/6.98 (define @t1097 () (tptp.hAPP @t1036 @t209)) % 6.71/6.98 (define @t1098 () (tptp.hBOOL (tptp.hAPP @t955 @t943))) % 6.71/6.98 (define @t1099 () (@list @t943 @t208 @t211 @t209)) % 6.71/6.98 (define @t1100 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1043) @t960))) % 6.71/6.98 (define @t1101 () (tptp.hAPP @t32 @t960)) % 6.71/6.98 (define @t1102 () (tptp.hBOOL (tptp.hAPP @t1101 @t85))) % 6.71/6.98 (define @t1103 () (tptp.hBOOL (tptp.hAPP @t90 @t960))) % 6.71/6.98 (define @t1104 () (tptp.hBOOL (tptp.hAPP @t87 @t960))) % 6.71/6.98 (define @t1105 () (tptp.hBOOL (tptp.hAPP @t1101 @t81))) % 6.71/6.98 (define @t1106 () (tptp.class_Rings_Oordered__cancel__semiring @t31)) % 6.71/6.98 (define @t1107 () (tptp.hBOOL (tptp.hAPP @t1101 @t1043))) % 6.71/6.98 (define @t1108 () (tptp.class_Rings_Oordered__ring @t31)) % 6.71/6.98 (define @t1109 () (tptp.hAPP @t1067 @t528)) % 6.71/6.98 (define @t1110 () (tptp.hAPP @t1042 @t82)) % 6.71/6.98 (define @t1111 () (tptp.hAPP @t32 @t1110)) % 6.71/6.98 (define @t1112 () (tptp.hBOOL (tptp.hAPP @t1101 @t82))) % 6.71/6.98 (define @t1113 () (=> @t1112 (tptp.hBOOL (tptp.hAPP @t1111 @t1109)))) % 6.71/6.98 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t83 @t528))) % 6.71/6.98 (define @t1115 () (tptp.class_Rings_Oordered__semiring @t31)) % 6.71/6.98 (define @t1116 () (@list @t528 @t82 @t85 @t81 @t31)) % 6.71/6.98 (define @t1117 () (tptp.hAPP @t1041 @t82)) % 6.71/6.98 (define @t1118 () (tptp.hAPP @t1117 @t85)) % 6.71/6.98 (define @t1119 () (tptp.hAPP @t1117 @t81)) % 6.71/6.98 (define @t1120 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1119) @t1118))) % 6.71/6.98 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t83 @t960))) % 6.71/6.98 (define @t1122 () (tptp.hBOOL (tptp.hAPP @t1111 @t1068))) % 6.71/6.98 (define @t1123 () (=> @t92 (=> @t1112 @t1120))) % 6.71/6.98 (define @t1124 () (tptp.hAPP @t1067 @t81)) % 6.71/6.98 (define @t1125 () (tptp.hBOOL (tptp.hAPP @t987 @t248))) % 6.71/6.98 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t255 @t925))) % 6.71/6.98 (define @t1127 () (or (and @t988 @t1126) (and @t986 @t1125))) % 6.71/6.98 (define @t1128 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 6.71/6.98 (define @t1129 () (or (and @t988 @t1125) (and @t986 @t1126))) % 6.71/6.98 (define @t1130 () (tptp.class_Rings_Olinordered__ring @t31)) % 6.71/6.98 (define @t1131 () (tptp.hBOOL (tptp.hAPP @t617 @t925))) % 6.71/6.98 (define @t1132 () (tptp.hBOOL (tptp.hAPP @t989 @t291))) % 6.71/6.98 (define @t1133 () (or (and @t1132 @t697) (and @t1131 @t664))) % 6.71/6.98 (define @t1134 () (tptp.hAPP @t1056 @t291)) % 6.71/6.98 (define @t1135 () (tptp.hAPP @t1049 @t291)) % 6.71/6.98 (define @t1136 () (tptp.hAPP @t591 @t1135)) % 6.71/6.98 (define @t1137 () (@list @t248 @t291 @t173 @t10)) % 6.71/6.98 (define @t1138 () (tptp.hAPP @t1019 @t291)) % 6.71/6.98 (define @t1139 () (tptp.hAPP @t1138 @t248)) % 6.71/6.98 (define @t1140 () (tptp.hAPP @t1138 @t173)) % 6.71/6.98 (define @t1141 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1140) @t1139))) % 6.71/6.98 (define @t1142 () (@list @t248 @t173 @t291 @t10)) % 6.71/6.98 (define @t1143 () (tptp.hAPP @t622 @t960)) % 6.71/6.98 (define @t1144 () (tptp.hBOOL (tptp.hAPP @t1143 @t1043))) % 6.71/6.98 (define @t1145 () (tptp.hBOOL (tptp.hAPP @t1143 @t85))) % 6.71/6.98 (define @t1146 () (tptp.hBOOL (tptp.hAPP @t1143 @t81))) % 6.71/6.98 (define @t1147 () (tptp.class_Rings_Olinordered__semiring__strict @t31)) % 6.71/6.98 (define @t1148 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1043) @t960))) % 6.71/6.98 (define @t1149 () (tptp.hBOOL (tptp.hAPP @t643 @t960))) % 6.71/6.98 (define @t1150 () (=> @t1146 @t1145)) % 6.71/6.98 (define @t1151 () (tptp.hBOOL (tptp.hAPP @t645 @t960))) % 6.71/6.98 (define @t1152 () (tptp.class_Rings_Olinordered__ring__strict @t31)) % 6.71/6.98 (define @t1153 () (tptp.hAPP @t622 @t1110)) % 6.71/6.98 (define @t1154 () (tptp.hBOOL (tptp.hAPP @t1153 @t1068))) % 6.71/6.98 (define @t1155 () (tptp.hBOOL (tptp.hAPP @t1143 @t82))) % 6.71/6.98 (define @t1156 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1119) @t1118))) % 6.71/6.98 (define @t1157 () (=> @t646 (=> @t1155 @t1156))) % 6.71/6.98 (define @t1158 () (tptp.hBOOL (tptp.hAPP @t650 @t960))) % 6.71/6.98 (define @t1159 () (= (= @t819 @t833) @t22)) % 6.71/6.98 (define @t1160 () (=> @t1155 @t92)) % 6.71/6.98 (define @t1161 () (@list @t85 @t81 @t82 @t31)) % 6.71/6.98 (define @t1162 () (@list @t85 @t82 @t81 @t31)) % 6.71/6.98 (define @t1163 () (=> @t1112 @t646)) % 6.71/6.98 (define @t1164 () (=> @t1156 @t1163)) % 6.71/6.98 (define @t1165 () (tptp.class_Rings_Olinordered__semiring @t31)) % 6.71/6.98 (define @t1166 () (=> @t1154 @t1163)) % 6.71/6.98 (define @t1167 () (tptp.hBOOL (tptp.hAPP @t1153 @t1109))) % 6.71/6.98 (define @t1168 () (=> @t1112 @t1167)) % 6.71/6.98 (define @t1169 () (tptp.hBOOL (tptp.hAPP @t650 @t528))) % 6.71/6.98 (define @t1170 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1140) @t1139))) % 6.71/6.98 (define @t1171 () (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t21)) % 6.71/6.98 (define @t1172 () (= @t115 @t936)) % 6.71/6.98 (define @t1173 () (= @t181 @t936)) % 6.71/6.98 (define @t1174 () (tptp.hBOOL (tptp.hAPP @t910 @t208))) % 6.71/6.98 (define @t1175 () (tptp.hBOOL (tptp.hAPP @t910 @t151))) % 6.71/6.98 (define @t1176 () (and @t1175 @t720)) % 6.71/6.98 (define @t1177 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1084) @t1083))) % 6.71/6.98 (define @t1178 () (tptp.hBOOL (tptp.hAPP @t910 @t181))) % 6.71/6.98 (define @t1179 () (= @t282 @t3)) % 6.71/6.98 (define @t1180 () (@list @t282)) % 6.71/6.98 (define @t1181 () (tptp.hAPP @t818 @t165)) % 6.71/6.98 (define @t1182 () (tptp.hAPP @t796 @t829)) % 6.71/6.98 (define @t1183 () (@list @t21 @t173 @t2 @t41 @t10)) % 6.71/6.98 (define @t1184 () (= (tptp.hAPP @t818 @t320) (tptp.hAPP (tptp.hAPP @t398 @t819) @t833))) % 6.71/6.98 (define @t1185 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t108)) % 6.71/6.98 (define @t1186 () (@list @t20 @t21 @t108 @t2 @t41 @t10)) % 6.71/6.98 (define @t1187 () (= @t1023 (tptp.hAPP (tptp.hAPP @t808 @t819) @t833))) % 6.71/6.98 (define @t1188 () (tptp.hAPP @t796 @t97)) % 6.71/6.98 (define @t1189 () (tptp.hBOOL (tptp.hAPP @t1188 @t819))) % 6.71/6.98 (define @t1190 () (tptp.hAPP @t1031 @t176)) % 6.71/6.98 (define @t1191 () (tptp.hAPP @t599 @t936)) % 6.71/6.98 (define @t1192 () (tptp.hBOOL (tptp.hAPP @t1191 @t193))) % 6.71/6.98 (define @t1193 () (tptp.hBOOL (tptp.hAPP @t1191 @t176))) % 6.71/6.98 (define @t1194 () (tptp.hAPP @t1029 @t193)) % 6.71/6.98 (define @t1195 () (tptp.hAPP @t178 @t936)) % 6.71/6.98 (define @t1196 () (=> @t1175 @t185)) % 6.71/6.98 (define @t1197 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1084) @t1083))) % 6.71/6.98 (define @t1198 () (tptp.hAPP @t1019 @t513)) % 6.71/6.98 (define @t1199 () (tptp.class_Rings_Olinordered__idom @t31)) % 6.71/6.98 (define @t1200 () (tptp.hAPP @t877 @t819)) % 6.71/6.98 (define @t1201 () (tptp.hAPP @t818 @t331)) % 6.71/6.98 (define @t1202 () (@var "V_A_H_2" $$unsorted)) % 6.71/6.98 (define @t1203 () (@var "B_g" $$unsorted)) % 6.71/6.98 (define @t1204 () (tptp.hAPP @t395 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t880) @t21))) % 6.71/6.98 (define @t1205 () (tptp.c_Fun_Oinj__on @t10 @t41 @t880 @t21)) % 6.71/6.98 (define @t1206 () (tptp.class_Rings_Ocomm__semiring__1 @t31)) % 6.71/6.98 (define @t1207 () (tptp.c_Fun_Othe__inv__into @t10 @t41 @t21 @t2)) % 6.71/6.98 (define @t1208 () (tptp.hAPP @t1207 @t51)) % 6.71/6.98 (define @t1209 () (tptp.hBOOL (tptp.hAPP @t797 @t819))) % 6.71/6.98 (define @t1210 () (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t728)) % 6.71/6.98 (define @t1211 () (@var "B_A" $$unsorted)) % 6.71/6.98 (define @t1212 () (@list @t1211)) % 6.71/6.98 (define @t1213 () (@var "V_ry" $$unsorted)) % 6.71/6.98 (define @t1214 () (@var "V_ly" $$unsorted)) % 6.71/6.98 (define @t1215 () (tptp.hAPP @t1041 @t1214)) % 6.71/6.98 (define @t1216 () (@var "V_rx" $$unsorted)) % 6.71/6.98 (define @t1217 () (@var "V_lx" $$unsorted)) % 6.71/6.98 (define @t1218 () (tptp.hAPP @t1041 @t1217)) % 6.71/6.98 (define @t1219 () (tptp.hAPP @t1041 (tptp.hAPP @t1218 @t1216))) % 6.71/6.98 (define @t1220 () (tptp.hAPP @t1041 @t1216)) % 6.71/6.98 (define @t1221 () (tptp.hAPP @t1220 @t1213)) % 6.71/6.98 (define @t1222 () (tptp.hAPP @t1041 (tptp.hAPP @t1218 @t1214))) % 6.71/6.98 (define @t1223 () (tptp.hAPP @t1222 @t1221)) % 6.71/6.98 (define @t1224 () (@list @t1213 @t1216 @t1214 @t1217 @t31)) % 6.71/6.98 (define @t1225 () (tptp.hAPP @t1222 @t1216)) % 6.71/6.98 (define @t1226 () (@list @t1216 @t1214 @t1217 @t31)) % 6.71/6.98 (define @t1227 () (tptp.hAPP @t1218 @t1221)) % 6.71/6.98 (define @t1228 () (@list @t1213 @t1216 @t1217 @t31)) % 6.71/6.98 (define @t1229 () (@list @t51 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t1230 () (tptp.hAPP @t1207 @t97)) % 6.71/6.98 (define @t1231 () (@var "B_a" $$unsorted)) % 6.71/6.98 (define @t1232 () (tptp.hAPP @t169 @t1231)) % 6.71/6.98 (define @t1233 () (tptp.hBOOL (tptp.hAPP @t1232 @t1211))) % 6.71/6.98 (define @t1234 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t1231 @t1211)) % 6.71/6.98 (define @t1235 () (tptp.hAPP @t594 @t1231)) % 6.71/6.98 (define @t1236 () (tptp.hAPP @t1235 @t1211)) % 6.71/6.98 (define @t1237 () (tptp.hAPP @t657 @t337)) % 6.71/6.98 (define @t1238 () (@list @t1231 @t1211)) % 6.71/6.98 (define @t1239 () (tptp.hAPP @t594 @t938)) % 6.71/6.98 (define @t1240 () (tptp.hAPP @t1239 @t937)) % 6.71/6.98 (define @t1241 () (tptp.c_List_Oall__interval__nat @t60 @t220 @t902)) % 6.71/6.98 (define @t1242 () (@list @t902 @t220 @t60)) % 6.71/6.98 (define @t1243 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t1244 () (tptp.hAPP @t919 @t1243)) % 6.71/6.98 (define @t1245 () (tptp.hAPP tptp.c_Nat_OSuc @t1244)) % 6.71/6.98 (define @t1246 () (tptp.hAPP @t911 @t902)) % 6.71/6.98 (define @t1247 () (tptp.hAPP @t1246 @t220)) % 6.71/6.98 (define @t1248 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t1249 () (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t1247) @t261)) @t115)) % 6.71/6.98 (define @t1250 () (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t902) @t261)) @t115)) % 6.71/6.98 (define @t1251 () (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t220) @t261)) @t181)) % 6.71/6.98 (define @t1252 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1251) @t1250))) % 6.71/6.98 (define @t1253 () (@list @t115 @t181 @t261 @t902 @t220)) % 6.71/6.98 (define @t1254 () (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP (tptp.hAPP @t911 @t220) @t902)) @t261)) @t181)) % 6.71/6.98 (define @t1255 () (tptp.hAPP @t178 @t902)) % 6.71/6.98 (define @t1256 () (tptp.hBOOL (tptp.hAPP @t1255 @t220))) % 6.71/6.98 (define @t1257 () (@list @t115 @t181 @t261 @t220 @t902)) % 6.71/6.98 (define @t1258 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10)) % 6.71/6.98 (define @t1259 () (tptp.hAPP @t1258 @t115)) % 6.71/6.98 (define @t1260 () (tptp.class_Rings_Olinordered__semidom @t10)) % 6.71/6.98 (define @t1261 () (tptp.c_Groups_Oone__class_Oone @t31)) % 6.71/6.98 (define @t1262 () (tptp.c_Groups_Oplus__class_Oplus @t31)) % 6.71/6.98 (define @t1263 () (tptp.hAPP @t1262 @t1261)) % 6.71/6.98 (define @t1264 () (tptp.hAPP @t1263 @t1261)) % 6.71/6.98 (define @t1265 () (tptp.hAPP @t1041 @t1264)) % 6.71/6.98 (define @t1266 () (tptp.hAPP @t1262 @t193)) % 6.71/6.98 (define @t1267 () (@list @t193 @t31)) % 6.71/6.98 (define @t1268 () (tptp.hAPP @t1262 @t81)) % 6.71/6.98 (define @t1269 () (tptp.hAPP @t1268 @t1261)) % 6.71/6.98 (define @t1270 () (tptp.hAPP (tptp.hAPP @t1041 @t1269) @t193)) % 6.71/6.98 (define @t1271 () (tptp.hAPP @t1042 @t193)) % 6.71/6.98 (define @t1272 () (tptp.hAPP @t1262 @t1271)) % 6.71/6.98 (define @t1273 () (tptp.hAPP @t1262 @t85)) % 6.71/6.98 (define @t1274 () (tptp.hAPP @t1273 @t528)) % 6.71/6.98 (define @t1275 () (tptp.hAPP @t1268 @t82)) % 6.71/6.98 (define @t1276 () (tptp.hAPP @t1262 @t1275)) % 6.71/6.98 (define @t1277 () (tptp.hAPP @t1262 @t82)) % 6.71/6.98 (define @t1278 () (tptp.hAPP @t1277 @t528)) % 6.71/6.98 (define @t1279 () (tptp.hAPP @t1268 @t85)) % 6.71/6.98 (define @t1280 () (tptp.hAPP @t1262 @t1279)) % 6.71/6.98 (define @t1281 () (tptp.hAPP @t1280 @t82)) % 6.71/6.98 (define @t1282 () (tptp.hAPP @t1273 @t82)) % 6.71/6.98 (define @t1283 () (= @t1281 (tptp.hAPP @t1268 @t1282))) % 6.71/6.98 (define @t1284 () (tptp.hAPP @t1268 @t1278)) % 6.71/6.98 (define @t1285 () (@list @t528 @t82 @t81 @t31)) % 6.71/6.98 (define @t1286 () (tptp.hAPP @t1277 @t81)) % 6.71/6.98 (define @t1287 () (tptp.hAPP @t1248 @t115)) % 6.71/6.98 (define @t1288 () (tptp.hAPP @t1287 @t151)) % 6.71/6.98 (define @t1289 () (tptp.hAPP @t1248 @t181)) % 6.71/6.98 (define @t1290 () (tptp.hAPP @t1289 @t151)) % 6.71/6.98 (define @t1291 () (tptp.hAPP @t1248 @t151)) % 6.71/6.98 (define @t1292 () (tptp.hAPP @t1291 @t115)) % 6.71/6.98 (define @t1293 () (tptp.hAPP @t1291 @t181)) % 6.71/6.98 (define @t1294 () (tptp.hAPP @t1248 @t176)) % 6.71/6.98 (define @t1295 () (tptp.hAPP @t1294 @t208)) % 6.71/6.98 (define @t1296 () (tptp.hAPP @t1248 @t193)) % 6.71/6.98 (define @t1297 () (tptp.hAPP @t1296 @t176)) % 6.71/6.98 (define @t1298 () (tptp.hAPP @t1258 @t181)) % 6.71/6.98 (define @t1299 () (tptp.class_Nat_Osemiring__char__0 @t10)) % 6.71/6.98 (define @t1300 () (tptp.hAPP @t1248 @t30)) % 6.71/6.98 (define @t1301 () (tptp.hAPP @t1248 @t64)) % 6.71/6.98 (define @t1302 () (tptp.hAPP @t1301 @t70)) % 6.71/6.98 (define @t1303 () (@list @t70 @t64 @t30)) % 6.71/6.98 (define @t1304 () (tptp.hAPP @t1294 @t193)) % 6.71/6.98 (define @t1305 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t31)) % 6.71/6.98 (define @t1306 () (tptp.hAPP @t1305 @t176)) % 6.71/6.98 (define @t1307 () (tptp.hAPP @t1305 @t193)) % 6.71/6.98 (define @t1308 () (tptp.class_Rings_Osemiring__1 @t31)) % 6.71/6.98 (define @t1309 () (@list @t176 @t193 @t31)) % 6.71/6.98 (define @t1310 () (tptp.hAPP @t1273 @t81)) % 6.71/6.98 (define @t1311 () (tptp.class_Groups_Ocancel__semigroup__add @t31)) % 6.71/6.98 (define @t1312 () (=> (= @t1279 @t1275) @t86)) % 6.71/6.98 (define @t1313 () (tptp.c_Groups_Oplus__class_Oplus @t10)) % 6.71/6.98 (define @t1314 () (tptp.hAPP @t1313 @t291)) % 6.71/6.98 (define @t1315 () (tptp.hAPP @t1314 @t173)) % 6.71/6.98 (define @t1316 () (tptp.hAPP @t1313 @t248)) % 6.71/6.98 (define @t1317 () (tptp.hAPP @t1316 @t173)) % 6.71/6.98 (define @t1318 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 6.71/6.98 (define @t1319 () (tptp.hAPP @t1313 @t173)) % 6.71/6.98 (define @t1320 () (tptp.hAPP @t1319 @t291)) % 6.71/6.98 (define @t1321 () (tptp.hAPP @t1319 @t248)) % 6.71/6.98 (define @t1322 () (tptp.c_Groups_Oone__class_Oone @t10)) % 6.71/6.98 (define @t1323 () (= @t51 @t1322)) % 6.71/6.98 (define @t1324 () (tptp.hAPP @t1248 @t1243)) % 6.71/6.98 (define @t1325 () (tptp.hAPP @t1324 @t176)) % 6.71/6.98 (define @t1326 () (tptp.hAPP @t1294 @t1243)) % 6.71/6.98 (define @t1327 () (tptp.class_Rings_Olinordered__semidom @t31)) % 6.71/6.98 (define @t1328 () (tptp.hAPP @t1277 @t85)) % 6.71/6.98 (define @t1329 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1286) @t1328))) % 6.71/6.98 (define @t1330 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t31)) % 6.71/6.98 (define @t1331 () (tptp.hAPP @t32 @t1275)) % 6.71/6.98 (define @t1332 () (tptp.hBOOL (tptp.hAPP @t1331 @t1282))) % 6.71/6.98 (define @t1333 () (tptp.class_Groups_Oordered__ab__semigroup__add @t31)) % 6.71/6.98 (define @t1334 () (tptp.hAPP @t1314 @t248)) % 6.71/6.98 (define @t1335 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 6.71/6.98 (define @t1336 () (tptp.hAPP @t1316 @t291)) % 6.71/6.98 (define @t1337 () (= (tptp.hAPP @t1268 @t960) @t81)) % 6.71/6.98 (define @t1338 () (tptp.class_Groups_Ocomm__monoid__add @t31)) % 6.71/6.98 (define @t1339 () (tptp.class_Groups_Omonoid__add @t31)) % 6.71/6.98 (define @t1340 () (tptp.hAPP @t1319 @t173)) % 6.71/6.98 (define @t1341 () (tptp.hAPP @t1262 @t960)) % 6.71/6.98 (define @t1342 () (= (tptp.hAPP @t1341 @t81) @t81)) % 6.71/6.98 (define @t1343 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10)) % 6.71/6.98 (define @t1344 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1286) @t1328))) % 6.71/6.98 (define @t1345 () (tptp.hAPP @t622 @t1275)) % 6.71/6.98 (define @t1346 () (tptp.hBOOL (tptp.hAPP @t1345 @t1282))) % 6.71/6.98 (define @t1347 () (tptp.hBOOL (tptp.hAPP @t1345 @t1274))) % 6.71/6.98 (define @t1348 () (=> @t1169 @t1347)) % 6.71/6.98 (define @t1349 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t31)) % 6.71/6.98 (define @t1350 () (tptp.hAPP @t1041 @t1279)) % 6.71/6.98 (define @t1351 () (= (tptp.hAPP @t1350 @t82) (tptp.hAPP (tptp.hAPP @t1262 @t1110) @t1068))) % 6.71/6.98 (define @t1352 () (@var "V_e" $$unsorted)) % 6.71/6.98 (define @t1353 () (= @t97 @t513)) % 6.71/6.98 (define @t1354 () (@var "V_w_2" $$unsorted)) % 6.71/6.98 (define @t1355 () (tptp.hAPP @t1019 @t51)) % 6.71/6.98 (define @t1356 () (tptp.hAPP @t1019 @t1354)) % 6.71/6.98 (define @t1357 () (tptp.hAPP @t1355 @t513)) % 6.71/6.98 (define @t1358 () (tptp.hAPP @t1356 @t97)) % 6.71/6.98 (define @t1359 () (tptp.hAPP @t1049 @t289)) % 6.71/6.98 (define @t1360 () (tptp.hAPP @t1064 @t70)) % 6.71/6.98 (define @t1361 () (tptp.hAPP @t1064 @t64)) % 6.71/6.98 (define @t1362 () (tptp.hAPP @t1262 @t64)) % 6.71/6.98 (define @t1363 () (tptp.hAPP @t1362 @t70)) % 6.71/6.98 (define @t1364 () (tptp.hAPP @t840 @t1279)) % 6.71/6.98 (define @t1365 () (tptp.class_Rings_Ozero__neq__one @t31)) % 6.71/6.98 (define @t1366 () (= (tptp.hAPP @t1042 @t1261) @t81)) % 6.71/6.98 (define @t1367 () (tptp.class_Groups_Ocomm__monoid__mult @t31)) % 6.71/6.98 (define @t1368 () (tptp.class_Groups_Omonoid__mult @t31)) % 6.71/6.98 (define @t1369 () (= (tptp.hAPP (tptp.hAPP @t1041 @t1261) @t81) @t81)) % 6.71/6.98 (define @t1370 () (tptp.hAPP @t1262 @t574)) % 6.71/6.98 (define @t1371 () (tptp.hAPP @t447 @t1279)) % 6.71/6.98 (define @t1372 () (tptp.hAPP @t1289 @t115)) % 6.71/6.98 (define @t1373 () (tptp.hAPP tptp.c_Nat_OSuc @t1297)) % 6.71/6.98 (define @t1374 () (tptp.hAPP @t1296 @t177)) % 6.71/6.98 (define @t1375 () (tptp.hAPP (tptp.hAPP @t1248 @t198) @t176)) % 6.71/6.98 (define @t1376 () (tptp.hAPP @t1248 @t209)) % 6.71/6.98 (define @t1377 () (tptp.hAPP @t1376 @t211)) % 6.71/6.98 (define @t1378 () (tptp.hAPP @t599 @t1377)) % 6.71/6.98 (define @t1379 () (@list @t211 @t209)) % 6.71/6.98 (define @t1380 () (tptp.hAPP @t1248 @t211)) % 6.71/6.98 (define @t1381 () (tptp.hAPP @t1380 @t209)) % 6.71/6.98 (define @t1382 () (@list @t209 @t211)) % 6.71/6.98 (define @t1383 () (tptp.hAPP @t1380 @t193)) % 6.71/6.98 (define @t1384 () (@list @t193 @t211 @t209)) % 6.71/6.98 (define @t1385 () (tptp.hAPP @t1296 @t211)) % 6.71/6.98 (define @t1386 () (tptp.hAPP @t1380 @t208)) % 6.71/6.98 (define @t1387 () (tptp.hAPP @t1376 @t208)) % 6.71/6.98 (define @t1388 () (tptp.hAPP @t599 @t1387)) % 6.71/6.98 (define @t1389 () (tptp.hAPP @t1380 @t943)) % 6.71/6.98 (define @t1390 () (tptp.hAPP @t599 @t208)) % 6.71/6.98 (define @t1391 () (tptp.hBOOL (tptp.hAPP @t1390 @t943))) % 6.71/6.98 (define @t1392 () (tptp.hAPP @t1248 @t208)) % 6.71/6.98 (define @t1393 () (tptp.hAPP @t1392 @t176)) % 6.71/6.98 (define @t1394 () (tptp.hBOOL (tptp.hAPP @t802 @t1302))) % 6.71/6.98 (define @t1395 () (@list @t64 @t70 @t30)) % 6.71/6.98 (define @t1396 () (@var "B_k" $$unsorted)) % 6.71/6.98 (define @t1397 () (tptp.hAPP @t1289 @t1396)) % 6.71/6.98 (define @t1398 () (@list @t1396)) % 6.71/6.98 (define @t1399 () (tptp.hAPP @t178 @t1387)) % 6.71/6.98 (define @t1400 () (tptp.hAPP @t1296 @t208)) % 6.71/6.98 (define @t1401 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1400) @t176))) % 6.71/6.98 (define @t1402 () (@list @t176 @t208 @t193)) % 6.71/6.98 (define @t1403 () (tptp.hBOOL (tptp.hAPP @t882 @t1302))) % 6.71/6.98 (define @t1404 () (tptp.hAPP @t911 @t1400)) % 6.71/6.98 (define @t1405 () (tptp.hAPP @t1392 @t193)) % 6.71/6.98 (define @t1406 () (tptp.hAPP @t911 @t1304)) % 6.71/6.98 (define @t1407 () (@var "V_u" $$unsorted)) % 6.71/6.98 (define @t1408 () (tptp.hAPP @t1248 (tptp.hAPP @t1091 @t1407))) % 6.71/6.98 (define @t1409 () (tptp.hAPP @t1248 (tptp.hAPP @t1093 @t1407))) % 6.71/6.98 (define @t1410 () (and (= @t181 @t1243) (= @t115 @t1243))) % 6.71/6.98 (define @t1411 () (@var "V_v" $$unsorted)) % 6.71/6.98 (define @t1412 () (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP (tptp.hAPP @t1041 @t1407) @t30)) (tptp.hAPP (tptp.hAPP @t1041 @t1411) @t64))) % 6.71/6.98 (define @t1413 () (= (tptp.hAPP (tptp.hAPP @t1262 @t1407) @t1411) @t1261)) % 6.71/6.98 (define @t1414 () (tptp.hBOOL (tptp.hAPP @t1101 @t1411))) % 6.71/6.98 (define @t1415 () (tptp.hBOOL (tptp.hAPP @t1101 @t1407))) % 6.71/6.98 (define @t1416 () (@list @t1411 @t1407 @t64 @t81 @t30 @t31)) % 6.71/6.98 (define @t1417 () (tptp.hAPP @t914 @t1243)) % 6.71/6.98 (define @t1418 () (= @t193 @t890)) % 6.71/6.98 (define @t1419 () (not @t1418)) % 6.71/6.98 (define @t1420 () (tptp.class_Groups_Oordered__comm__monoid__add @t31)) % 6.71/6.98 (define @t1421 () (= @t97 @t925)) % 6.71/6.98 (define @t1422 () (and @t926 @t1421)) % 6.71/6.98 (define @t1423 () (tptp.hAPP @t1313 @t51)) % 6.71/6.98 (define @t1424 () (tptp.hAPP @t1423 @t97)) % 6.71/6.98 (define @t1425 () (tptp.hBOOL (tptp.hAPP @t87 @t1275))) % 6.71/6.98 (define @t1426 () (@list @t81 @t85 @t82 @t31)) % 6.71/6.98 (define @t1427 () (tptp.hBOOL (tptp.hAPP @t643 @t1275))) % 6.71/6.98 (define @t1428 () (=> @t649 @t1427)) % 6.71/6.98 (define @t1429 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1279) @t960))) % 6.71/6.98 (define @t1430 () (=> @t1149 @t1429)) % 6.71/6.98 (define @t1431 () (tptp.hBOOL (tptp.hAPP @t1143 @t1279))) % 6.71/6.98 (define @t1432 () (=> @t1145 @t1431)) % 6.71/6.98 (define @t1433 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1340) @t925)) @t991)) % 6.71/6.98 (define @t1434 () (tptp.hAPP @t1355 @t51)) % 6.71/6.98 (define @t1435 () (tptp.hAPP (tptp.hAPP @t1313 @t1434) (tptp.hAPP (tptp.hAPP @t1019 @t97) @t97))) % 6.71/6.98 (define @t1436 () (@var "V_r" $$unsorted)) % 6.71/6.98 (define @t1437 () (tptp.hAPP @t1041 @t1436)) % 6.71/6.98 (define @t1438 () (@var "V_e_2" $$unsorted)) % 6.71/6.98 (define @t1439 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP (tptp.hAPP @t807 @t248) @t173)) @t1438)) @t289)) % 6.71/6.98 (define @t1440 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t1056 @t1438)) @t289)) % 6.71/6.98 (define @t1441 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t1049 @t1438)) @t291)) % 6.71/6.98 (define @t1442 () (= @t1441 @t1440)) % 6.71/6.98 (define @t1443 () (tptp.class_Rings_Oring @t10)) % 6.71/6.98 (define @t1444 () (@list @t289 @t248 @t291 @t1438 @t173 @t10)) % 6.71/6.98 (define @t1445 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP (tptp.hAPP @t1019 @t814) @t1438)) @t291)) % 6.71/6.98 (define @t1446 () (= (tptp.hAPP @t1370 @t81) @t960)) % 6.71/6.98 (define @t1447 () (tptp.hAPP @t32 @t1261)) % 6.71/6.98 (define @t1448 () (tptp.hAPP @t622 @t1261)) % 6.71/6.98 (define @t1449 () (= @t844 (tptp.hAPP @t1268 @t578))) % 6.71/6.98 (define @t1450 () (tptp.hAPP @t1262 @t30)) % 6.71/6.98 (define @t1451 () (tptp.class_Rings_Ocomm__ring__1 @t31)) % 6.71/6.98 (define @t1452 () (@list @t176 @t31)) % 6.71/6.98 (define @t1453 () (tptp.hAPP @t622 @t1307)) % 6.71/6.98 (define @t1454 () (tptp.hAPP @t505 @t1322)) % 6.71/6.98 (define @t1455 () (tptp.class_Rings_Oring__1__no__zero__divisors @t10)) % 6.71/6.98 (define @t1456 () (tptp.hAPP @t447 @t1261)) % 6.71/6.98 (define @t1457 () (or (and @t1173 @t971) (and @t996 @t1172))) % 6.71/6.98 (define @t1458 () (tptp.hBOOL (tptp.hAPP @t1453 @t1306))) % 6.71/6.98 (define @t1459 () (@list @t193 @t209)) % 6.71/6.98 (define @t1460 () (tptp.hAPP @t1376 @t193)) % 6.71/6.98 (define @t1461 () (= (tptp.hAPP @t1294 @t915) @t193)) % 6.71/6.98 (define @t1462 () (tptp.hAPP @t1248 @t220)) % 6.71/6.98 (define @t1463 () (tptp.hAPP @t1462 @t151)) % 6.71/6.98 (define @t1464 () (tptp.hAPP @t1246 @t151)) % 6.71/6.98 (define @t1465 () (tptp.hAPP @t599 @t220)) % 6.71/6.98 (define @t1466 () (@list @t151 @t902 @t220)) % 6.71/6.98 (define @t1467 () (tptp.hAPP @t948 @t208)) % 6.71/6.98 (define @t1468 () (tptp.hBOOL (tptp.hAPP @t955 @t211))) % 6.71/6.98 (define @t1469 () (@list @t209 @t211 @t208)) % 6.71/6.98 (define @t1470 () (@list @t193 @t176 @t208)) % 6.71/6.98 (define @t1471 () (tptp.hAPP (tptp.hAPP @t911 @t1377) @t208)) % 6.71/6.98 (define @t1472 () (tptp.hAPP @t1376 @t1467)) % 6.71/6.98 (define @t1473 () (tptp.hAPP (tptp.hAPP @t911 @t1381) @t208)) % 6.71/6.98 (define @t1474 () (tptp.hAPP (tptp.hAPP @t1248 @t1467) @t209)) % 6.71/6.98 (define @t1475 () (tptp.hAPP @t1248 @t902)) % 6.71/6.98 (define @t1476 () (tptp.hAPP @t1475 @t151)) % 6.71/6.98 (define @t1477 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t757)) % 6.71/6.98 (define @t1478 () (tptp.hAPP @t1041 @t64)) % 6.71/6.98 (define @t1479 () (tptp.hAPP (tptp.hAPP @t1262 @t1065) (tptp.hAPP @t1478 @t64))) % 6.71/6.98 (define @t1480 () (not @t1421)) % 6.71/6.98 (define @t1481 () (or (not @t926) @t1480)) % 6.71/6.98 (define @t1482 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1441) @t1440))) % 6.71/6.98 (define @t1483 () (tptp.class_Rings_Oordered__ring @t10)) % 6.71/6.98 (define @t1484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1441) @t1440))) % 6.71/6.98 (define @t1485 () (tptp.hAPP @t1478 @t30)) % 6.71/6.98 (define @t1486 () (tptp.hBOOL (tptp.hAPP @t65 @t1261))) % 6.71/6.98 (define @t1487 () (tptp.hBOOL (tptp.hAPP @t1101 @t64))) % 6.71/6.98 (define @t1488 () (tptp.hBOOL (tptp.hAPP @t1101 @t30))) % 6.71/6.98 (define @t1489 () (@var "B_d" $$unsorted)) % 6.71/6.98 (define @t1490 () (tptp.hAPP @t60 @t1489)) % 6.71/6.98 (define @t1491 () (tptp.hBOOL @t1490)) % 6.71/6.98 (define @t1492 () (= @t173 (tptp.hAPP (tptp.hAPP @t1248 @t248) @t1489))) % 6.71/6.98 (define @t1493 () (@list @t1489)) % 6.71/6.98 (define @t1494 () (tptp.hBOOL (tptp.hAPP @t60 @t890))) % 6.71/6.98 (define @t1495 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t173) @t248))) % 6.71/6.98 (define @t1496 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t911 @t173) @t248)))) % 6.71/6.98 (define @t1497 () (@list @t248 @t173 @t60)) % 6.71/6.98 (define @t1498 () (not @t1494)) % 6.71/6.98 (define @t1499 () (tptp.hAPP tptp.c_Nat_OSuc @t211)) % 6.71/6.98 (define @t1500 () (tptp.hAPP tptp.c_Nat_OSuc @t1467)) % 6.71/6.98 (define @t1501 () (@list @t193 @t211 @t208)) % 6.71/6.98 (define @t1502 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1251) @t1250))) % 6.71/6.98 (define @t1503 () (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP @t1409 @t193)) (tptp.hAPP @t1408 @t176))) % 6.71/6.98 (define @t1504 () (tptp.hBOOL (tptp.hAPP @t212 @t209))) % 6.71/6.98 (define @t1505 () (= @t1251 @t1250)) % 6.71/6.98 (define @t1506 () (tptp.hAPP @t948 @t209)) % 6.71/6.98 (define @t1507 () (tptp.class_Rings_Oring__1 @t31)) % 6.71/6.98 (define @t1508 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1509 () (tptp.hBOOL (tptp.hAPP @t60 @t1508))) % 6.71/6.98 (define @t1510 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t51) @t97))) % 6.71/6.98 (define @t1511 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1512 () (tptp.hAPP @t1511 @t97)) % 6.71/6.98 (define @t1513 () (tptp.hAPP @t1511 @t51)) % 6.71/6.98 (define @t1514 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1515 () (tptp.hAPP @t178 @t97)) % 6.71/6.98 (define @t1516 () (tptp.hAPP @t911 @t51)) % 6.71/6.98 (define @t1517 () (tptp.hAPP @t1516 @t97)) % 6.71/6.98 (define @t1518 () (tptp.hAPP @t1511 @t193)) % 6.71/6.98 (define @t1519 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1520 () (tptp.hAPP @t1519 (tptp.hAPP @t1511 @t177))) % 6.71/6.98 (define @t1521 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1522 () (tptp.hAPP @t1521 @t1520)) % 6.71/6.98 (define @t1523 () (tptp.hAPP @t1511 @t176)) % 6.71/6.98 (define @t1524 () (tptp.hAPP @t1511 @t208)) % 6.71/6.98 (define @t1525 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1526 () (tptp.hAPP @t1525 @t1524)) % 6.71/6.98 (define @t1527 () (tptp.hAPP @t1521 @t209)) % 6.71/6.98 (define @t1528 () (tptp.hBOOL (tptp.hAPP @t1527 @t211))) % 6.71/6.98 (define @t1529 () (tptp.hAPP @t1511 @t115)) % 6.71/6.98 (define @t1530 () (tptp.hAPP @t1521 @t1508)) % 6.71/6.98 (define @t1531 () (= (= @t1340 @t925) @t962)) % 6.71/6.98 (define @t1532 () (tptp.hAPP @t178 @t898)) % 6.71/6.98 (define @t1533 () (tptp.hBOOL @t805)) % 6.71/6.98 (define @t1534 () (@list @t115 @t60)) % 6.71/6.98 (define @t1535 () (tptp.hAPP @t1519 @t1523)) % 6.71/6.98 (define @t1536 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1537 () (tptp.hAPP @t1536 @t1535)) % 6.71/6.98 (define @t1538 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1539 () (and (= @t181 @t1538) (= @t115 @t1538))) % 6.71/6.98 (define @t1540 () (= (tptp.hAPP (tptp.hAPP @t1525 @t181) @t115) @t1538)) % 6.71/6.98 (define @t1541 () (@list @t70)) % 6.71/6.98 (define @t1542 () (tptp.hAPP @t1525 @t70)) % 6.71/6.98 (define @t1543 () (@var "V_z2" $$unsorted)) % 6.71/6.98 (define @t1544 () (@var "V_w" $$unsorted)) % 6.71/6.98 (define @t1545 () (tptp.hAPP @t1525 @t1544)) % 6.71/6.98 (define @t1546 () (tptp.hAPP @t1545 @t1543)) % 6.71/6.98 (define @t1547 () (@var "V_z1" $$unsorted)) % 6.71/6.98 (define @t1548 () (tptp.hAPP @t1545 @t1547)) % 6.71/6.98 (define @t1549 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1550 () (tptp.hAPP @t1549 @t1547)) % 6.71/6.98 (define @t1551 () (tptp.hAPP @t1550 @t1543)) % 6.71/6.98 (define @t1552 () (@list @t1543 @t1547 @t1544)) % 6.71/6.98 (define @t1553 () (tptp.hAPP @t1525 @t1543)) % 6.71/6.98 (define @t1554 () (tptp.hAPP @t1553 @t1544)) % 6.71/6.98 (define @t1555 () (tptp.hAPP @t1525 @t1547)) % 6.71/6.98 (define @t1556 () (tptp.hAPP @t1555 @t1544)) % 6.71/6.98 (define @t1557 () (@list @t1544 @t1543 @t1547)) % 6.71/6.98 (define @t1558 () (tptp.hAPP @t1549 @t1538)) % 6.71/6.98 (define @t1559 () (tptp.hAPP @t1511 @t1243)) % 6.71/6.98 (define @t1560 () (tptp.hAPP @t1511 @t1297)) % 6.71/6.98 (define @t1561 () (tptp.hAPP @t1549 @t1518)) % 6.71/6.98 (define @t1562 () (tptp.hAPP @t1511 @t181)) % 6.71/6.98 (define @t1563 () (tptp.hAPP @t1511 @t36)) % 6.71/6.98 (define @t1564 () (tptp.hAPP @t1549 @t1354)) % 6.71/6.98 (define @t1565 () (tptp.hAPP @t1536 @t1354)) % 6.71/6.98 (define @t1566 () (tptp.hBOOL (tptp.hAPP @t1565 @t513))) % 6.71/6.98 (define @t1567 () (@list @t513 @t1354)) % 6.71/6.98 (define @t1568 () (tptp.hAPP @t1519 @t1544)) % 6.71/6.98 (define @t1569 () (tptp.hAPP @t1519 @t70)) % 6.71/6.98 (define @t1570 () (tptp.hAPP @t1549 @t1569)) % 6.71/6.98 (define @t1571 () (tptp.hAPP @t1549 @t70)) % 6.71/6.98 (define @t1572 () (tptp.hAPP @t1571 @t1544)) % 6.71/6.98 (define @t1573 () (@list @t1544 @t70)) % 6.71/6.98 (define @t1574 () (tptp.hAPP @t1511 @t217)) % 6.71/6.98 (define @t1575 () (tptp.hAPP @t1521 @t1354)) % 6.71/6.98 (define @t1576 () (tptp.hBOOL (tptp.hAPP @t1575 @t513))) % 6.71/6.98 (define @t1577 () (= @t1354 @t513)) % 6.71/6.98 (define @t1578 () (tptp.hBOOL (tptp.hAPP @t1575 (tptp.hAPP (tptp.hAPP @t1549 @t513) @t1538)))) % 6.71/6.98 (define @t1579 () (tptp.hAPP @t1549 @t209)) % 6.71/6.98 (define @t1580 () (tptp.hAPP @t1549 @t1544)) % 6.71/6.98 (define @t1581 () (tptp.hAPP @t1580 @t70)) % 6.71/6.98 (define @t1582 () (@var "V_z_H" $$unsorted)) % 6.71/6.98 (define @t1583 () (@var "V_w_H" $$unsorted)) % 6.71/6.98 (define @t1584 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1582) @t70))) % 6.71/6.98 (define @t1585 () (@list @t70 @t1544)) % 6.71/6.98 (define @t1586 () (tptp.hAPP (tptp.hAPP @t1549 @t220) @t1538)) % 6.71/6.98 (define @t1587 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t220 @t902)) % 6.71/6.98 (define @t1588 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t902) @t220))) % 6.71/6.98 (define @t1589 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t1590 () (tptp.c_Orderings_Obot__class_Obot @t1589)) % 6.71/6.98 (define @t1591 () (tptp.hAPP @t1558 @t70)) % 6.71/6.98 (define @t1592 () (tptp.hAPP @t1536 @t1508)) % 6.71/6.98 (define @t1593 () (tptp.hAPP @t1571 @t1568)) % 6.71/6.98 (define @t1594 () (tptp.hAPP @t1514 @t70)) % 6.71/6.98 (define @t1595 () (tptp.hAPP @t1594 @t1544)) % 6.71/6.98 (define @t1596 () (@list @t208)) % 6.71/6.98 (define @t1597 () (tptp.hAPP @t1521 @t513)) % 6.71/6.98 (define @t1598 () (tptp.hBOOL (tptp.hAPP @t1597 @t1508))) % 6.71/6.98 (define @t1599 () (@list @t513)) % 6.71/6.98 (define @t1600 () (tptp.hBOOL (tptp.hAPP @t1592 @t70))) % 6.71/6.98 (define @t1601 () (tptp.hAPP @t1514 @t513)) % 6.71/6.98 (define @t1602 () (tptp.hBOOL (tptp.hAPP @t1530 @t513))) % 6.71/6.98 (define @t1603 () (tptp.hAPP @t1536 @t1538)) % 6.71/6.98 (define @t1604 () (tptp.hAPP @t1521 @t151)) % 6.71/6.98 (define @t1605 () (tptp.hBOOL (tptp.hAPP @t1604 @t227))) % 6.71/6.98 (define @t1606 () (@list @t227 @t151)) % 6.71/6.98 (define @t1607 () (tptp.hAPP @t1536 @t513)) % 6.71/6.98 (define @t1608 () (@list @t1354 @t513)) % 6.71/6.98 (define @t1609 () (tptp.hAPP @t1521 @t64)) % 6.71/6.98 (define @t1610 () (tptp.hAPP @t1521 @t30)) % 6.71/6.98 (define @t1611 () (tptp.hAPP @t1542 @t1544)) % 6.71/6.98 (define @t1612 () (@var "V_z3" $$unsorted)) % 6.71/6.98 (define @t1613 () (@list @t1612 @t1543 @t1547)) % 6.71/6.98 (define @t1614 () (tptp.hAPP @t1545 @t70)) % 6.71/6.98 (define @t1615 () (tptp.hAPP (tptp.hAPP @t1514 @t1547) @t1543)) % 6.71/6.98 (define @t1616 () (tptp.hAPP @t1525 @t208)) % 6.71/6.98 (define @t1617 () (tptp.hBOOL (tptp.hAPP @t1530 @t208))) % 6.71/6.98 (define @t1618 () (and @t971 @t996)) % 6.71/6.98 (define @t1619 () (tptp.hAPP @t1536 @t1529)) % 6.71/6.98 (define @t1620 () (tptp.hAPP @t1511 @t890)) % 6.71/6.98 (define @t1621 () (tptp.hAPP @t1521 @t1562)) % 6.71/6.98 (define @t1622 () (tptp.hAPP @t1511 @t1190)) % 6.71/6.98 (define @t1623 () (tptp.hAPP (tptp.hAPP @t1525 @t1518) @t1523)) % 6.71/6.98 (define @t1624 () (tptp.hAPP (tptp.hAPP @t1028 @t30) @t64)) % 6.71/6.98 (define @t1625 () (tptp.hAPP @t1511 @t64)) % 6.71/6.98 (define @t1626 () (tptp.hAPP @t1511 @t30)) % 6.71/6.98 (define @t1627 () (@list @t97 @t51)) % 6.71/6.98 (define @t1628 () (@var "V_q" $$unsorted)) % 6.71/6.98 (define @t1629 () (tptp.hAPP @t1536 @t1628)) % 6.71/6.98 (define @t1630 () (tptp.hBOOL (tptp.hAPP @t1592 @t1436))) % 6.71/6.98 (define @t1631 () (tptp.hAPP @t1525 @t81)) % 6.71/6.98 (define @t1632 () (tptp.hAPP @t1631 @t1628)) % 6.71/6.98 (define @t1633 () (= @t81 (tptp.hAPP (tptp.hAPP @t1549 @t1436) @t1632))) % 6.71/6.98 (define @t1634 () (tptp.hBOOL (tptp.hAPP @t1530 @t81))) % 6.71/6.98 (define @t1635 () (@list @t1628 @t1436 @t81)) % 6.71/6.98 (define @t1636 () (tptp.hAPP @t1521 @t1436)) % 6.71/6.98 (define @t1637 () (@var "V_q_H" $$unsorted)) % 6.71/6.98 (define @t1638 () (@var "V_b_H" $$unsorted)) % 6.71/6.98 (define @t1639 () (tptp.hBOOL (tptp.hAPP @t1530 @t1638))) % 6.71/6.98 (define @t1640 () (@var "V_r_H" $$unsorted)) % 6.71/6.98 (define @t1641 () (tptp.hAPP @t1521 @t1640)) % 6.71/6.98 (define @t1642 () (tptp.hBOOL (tptp.hAPP @t1641 @t1638))) % 6.71/6.98 (define @t1643 () (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t1525 @t1638) @t1637)) @t1640)) % 6.71/6.98 (define @t1644 () (tptp.hBOOL (tptp.hAPP @t1592 @t1643))) % 6.71/6.98 (define @t1645 () (@list @t1640 @t1637 @t1638)) % 6.71/6.98 (define @t1646 () (tptp.hAPP @t1536 @t1637)) % 6.71/6.98 (define @t1647 () (tptp.hBOOL (tptp.hAPP @t1592 @t1640))) % 6.71/6.98 (define @t1648 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1643) @t1508))) % 6.71/6.98 (define @t1649 () (tptp.hBOOL (tptp.hAPP @t1646 @t1628))) % 6.71/6.98 (define @t1650 () (tptp.hBOOL (tptp.hAPP @t1636 @t85))) % 6.71/6.98 (define @t1651 () (tptp.hAPP @t1525 @t85)) % 6.71/6.98 (define @t1652 () (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1651 @t1628)) @t1436)) % 6.71/6.98 (define @t1653 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1651 @t1637)) @t1640)) @t1652))) % 6.71/6.98 (define @t1654 () (@list @t1436 @t1628 @t1640 @t1637 @t85)) % 6.71/6.98 (define @t1655 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t227 @t261)) % 6.71/6.98 (define @t1656 () (tptp.hAPP (tptp.hAPP @t1549 @t227) @t1538)) % 6.71/6.98 (define @t1657 () (tptp.hAPP @t1549 @t30)) % 6.71/6.98 (define @t1658 () (tptp.hAPP @t1549 @t64)) % 6.71/6.98 (define @t1659 () (tptp.hAPP @t1549 @t208)) % 6.71/6.98 (define @t1660 () (tptp.hAPP @t1536 @t209)) % 6.71/6.98 (define @t1661 () (tptp.hBOOL (tptp.hAPP @t1660 @t211))) % 6.71/6.98 (define @t1662 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t227 @t261)) % 6.71/6.98 (define @t1663 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t227)) % 6.71/6.98 (define @t1664 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t227 @t261)) % 6.71/6.98 (define @t1665 () (tptp.hAPP @t1536 @t1544)) % 6.71/6.98 (define @t1666 () (@list @t1544)) % 6.71/6.98 (define @t1667 () (tptp.hBOOL (tptp.hAPP @t1665 @t70))) % 6.71/6.98 (define @t1668 () (tptp.hAPP @t1536 @t70)) % 6.71/6.98 (define @t1669 () (tptp.hBOOL (tptp.hAPP @t1668 @t1544))) % 6.71/6.98 (define @t1670 () (tptp.hAPP @t1657 @t64)) % 6.71/6.98 (define @t1671 () (tptp.hBOOL (tptp.hAPP @t1592 @t64))) % 6.71/6.98 (define @t1672 () (tptp.hBOOL (tptp.hAPP @t1592 @t30))) % 6.71/6.98 (define @t1673 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1511)) % 6.71/6.98 (define @t1674 () (tptp.hAPP @t1673 @t20)) % 6.71/6.98 (define @t1675 () (tptp.hAPP @t1673 @t21)) % 6.71/6.98 (define @t1676 () (tptp.c_Orderings_Oord__class_Oless @t1589)) % 6.71/6.98 (define @t1677 () (tptp.c_Orderings_Oord__class_Oless @t757)) % 6.71/6.98 (define @t1678 () (@list @t20 @t21)) % 6.71/6.98 (define @t1679 () (tptp.c_member tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1680 () (tptp.hAPP @t1003 @t51)) % 6.71/6.98 (define @t1681 () (@list @t21 @t51)) % 6.71/6.98 (define @t1682 () (tptp.c_Orderings_Oord__class_Oless__eq @t1589)) % 6.71/6.98 (define @t1683 () (tptp.c_Orderings_Oord__class_Oless__eq @t757)) % 6.71/6.98 (define @t1684 () (tptp.hAPP @t1683 @t21)) % 6.71/6.98 (define @t1685 () (tptp.hAPP @t1511 @t70)) % 6.71/6.98 (define @t1686 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1511 @t3)))) % 6.71/6.98 (define @t1687 () (tptp.hBOOL (tptp.hAPP @t1592 @t3))) % 6.71/6.98 (define @t1688 () (@list @t60)) % 6.71/6.98 (define @t1689 () (tptp.hAPP (tptp.hAPP @t1525 @t30) @t64)) % 6.71/6.98 (define @t1690 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t51) @t97))) % 6.71/6.98 (define @t1691 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1638) @t85))) % 6.71/6.98 (define @t1692 () (= @t1652 @t1643)) % 6.71/6.98 (define @t1693 () (@list @t1640 @t1637 @t1638 @t1436 @t1628 @t85)) % 6.71/6.98 (define @t1694 () (tptp.hBOOL (tptp.hAPP @t1629 @t1637))) % 6.71/6.98 (define @t1695 () (tptp.hAPP @t1521 @t85)) % 6.71/6.98 (define @t1696 () (tptp.hBOOL (tptp.hAPP @t1695 @t1436))) % 6.71/6.98 (define @t1697 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1436) @t1508))) % 6.71/6.98 (define @t1698 () (tptp.hAPP @t1549 @t3)) % 6.71/6.98 (define @t1699 () (tptp.hAPP @t1698 @t421)) % 6.71/6.98 (define @t1700 () (tptp.hAPP @t1536 @t771)) % 6.71/6.98 (define @t1701 () (tptp.hBOOL (tptp.hAPP @t1700 @t3))) % 6.71/6.98 (define @t1702 () (@var "B_xb" $$unsorted)) % 6.71/6.98 (define @t1703 () (tptp.hAPP @t1679 @t1702)) % 6.71/6.98 (define @t1704 () (@list @t1702)) % 6.71/6.98 (define @t1705 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1538 @t421)) % 6.71/6.98 (define @t1706 () (tptp.hAPP @t1679 @t408)) % 6.71/6.98 (define @t1707 () (tptp.hBOOL (tptp.hAPP @t1706 @t1705))) % 6.71/6.98 (define @t1708 () (forall @t412 (=> @t1707 (forall @t1704 (=> (tptp.hBOOL (tptp.hAPP @t1703 @t21)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1514 @t1702) @t408)))))))) % 6.71/6.98 (define @t1709 () (tptp.hBOOL (tptp.hAPP @t1530 @t421))) % 6.71/6.98 (define @t1710 () (@list @t771 @t21 @t421)) % 6.71/6.98 (define @t1711 () (tptp.hAPP @t1514 @t3)) % 6.71/6.98 (define @t1712 () (tptp.hAPP @t1711 @t421)) % 6.71/6.98 (define @t1713 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t3) @t771))) % 6.71/6.98 (define @t1714 () (forall @t412 (=> @t1707 (forall @t1704 (=> (tptp.hBOOL (tptp.hAPP @t1703 @t20)) (not (= @t3 (tptp.hAPP (tptp.hAPP @t1549 @t1702) @t408)))))))) % 6.71/6.98 (define @t1715 () (@list @t771 @t20 @t421)) % 6.71/6.98 (define @t1716 () (tptp.hAPP @t1514 @t771)) % 6.71/6.98 (define @t1717 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1679 (tptp.hAPP @t1716 @t1538)) @t20))) % 6.71/6.98 (define @t1718 () (@list @t20 @t771 @t421)) % 6.71/6.98 (define @t1719 () (tptp.hAPP @t1549 @t771)) % 6.71/6.98 (define @t1720 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1679 (tptp.hAPP @t1719 @t1538)) @t21))) % 6.71/6.98 (define @t1721 () (@list @t21 @t771 @t421)) % 6.71/6.98 (define @t1722 () (tptp.hAPP @t1679 @t3)) % 6.71/6.98 (define @t1723 () (@var "B_x1" $$unsorted)) % 6.71/6.98 (define @t1724 () (tptp.hBOOL (tptp.hAPP @t60 @t1723))) % 6.71/6.98 (define @t1725 () (@list @t1723)) % 6.71/6.98 (define @t1726 () (exists @t1725 @t1724)) % 6.71/6.98 (define @t1727 () (@list @t3 @t1396)) % 6.71/6.98 (define @t1728 () (tptp.hAPP @t1530 @t289)) % 6.71/6.98 (define @t1729 () (tptp.hBOOL @t1728)) % 6.71/6.98 (define @t1730 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t3) @t771))) % 6.71/6.98 (define @t1731 () (tptp.hAPP @t1521 @t771)) % 6.71/6.98 (define @t1732 () (tptp.hBOOL (tptp.hAPP @t1731 @t3))) % 6.71/6.98 (define @t1733 () (not (= @t3 @t771))) % 6.71/6.98 (define @t1734 () (tptp.hAPP @t1679 @t771)) % 6.71/6.98 (define @t1735 () (tptp.hBOOL (tptp.hAPP @t1734 @t21))) % 6.71/6.98 (define @t1736 () (tptp.hBOOL (tptp.hAPP @t1734 @t20))) % 6.71/6.98 (define @t1737 () (tptp.hBOOL (tptp.hAPP @t1722 @t1705))) % 6.71/6.98 (define @t1738 () (tptp.c_Nat__Transfer_Otsub @t30 @t64)) % 6.71/6.98 (define @t1739 () (tptp.hAPP @t1536 @t64)) % 6.71/6.98 (define @t1740 () (tptp.hBOOL (tptp.hAPP @t1739 @t30))) % 6.71/6.98 (define @t1741 () (tptp.hAPP @t1514 @t30)) % 6.71/6.98 (define @t1742 () (tptp.hAPP @t1741 @t64)) % 6.71/6.98 (define @t1743 () (=> @t1740 (= @t1738 @t1742))) % 6.71/6.98 (define @t1744 () (@list @t30 @t64)) % 6.71/6.98 (define @t1745 () (tptp.hAPP @t1313 @t1322)) % 6.71/6.98 (define @t1746 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t1745 @t173)) @t173)) % 6.71/6.98 (define @t1747 () (tptp.c_Int_Oring__1__class_OInts @t10)) % 6.71/6.98 (define @t1748 () (tptp.hBOOL (tptp.hAPP @t322 @t1747))) % 6.71/6.98 (define @t1749 () (tptp.hAPP tptp.c_Int_Onat @t261)) % 6.71/6.98 (define @t1750 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1508)) % 6.71/6.98 (define @t1751 () (tptp.hAPP @t1750 @t261)) % 6.71/6.98 (define @t1752 () (@list @t261)) % 6.71/6.98 (define @t1753 () (tptp.hAPP @t1525 @t151)) % 6.71/6.98 (define @t1754 () (tptp.hAPP @t1753 @t289)) % 6.71/6.98 (define @t1755 () (tptp.hAPP @t1592 @t151)) % 6.71/6.98 (define @t1756 () (tptp.hBOOL @t1755)) % 6.71/6.98 (define @t1757 () (@list @t151 @t60 @t289)) % 6.71/6.98 (define @t1758 () (@list @t30)) % 6.71/6.98 (define @t1759 () (tptp.hBOOL (tptp.hAPP @t910 @t36))) % 6.71/6.98 (define @t1760 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t81)) % 6.71/6.98 (define @t1761 () (tptp.class_Groups_Osgn__if @t31)) % 6.71/6.98 (define @t1762 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t173)) % 6.71/6.98 (define @t1763 () (tptp.hAPP tptp.c_Int_Onat @t1508)) % 6.71/6.98 (define @t1764 () (@var "V_z_H_2" $$unsorted)) % 6.71/6.98 (define @t1765 () (tptp.hAPP tptp.c_Int_Onat @t1764)) % 6.71/6.98 (define @t1766 () (tptp.hAPP tptp.c_Int_Onat @t513)) % 6.71/6.98 (define @t1767 () (tptp.hBOOL (tptp.hAPP @t1592 @t513))) % 6.71/6.98 (define @t1768 () (tptp.hAPP tptp.c_Int_Onat @t97)) % 6.71/6.98 (define @t1769 () (tptp.hAPP tptp.c_Int_Onat @t51)) % 6.71/6.98 (define @t1770 () (tptp.hBOOL (tptp.hAPP @t1592 @t97))) % 6.71/6.98 (define @t1771 () (tptp.hBOOL (tptp.hAPP @t1592 @t51))) % 6.71/6.98 (define @t1772 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 6.71/6.98 (define @t1773 () (forall @t1725 @t1724)) % 6.71/6.98 (define @t1774 () (tptp.hAPP tptp.c_Int_Onat @t1538)) % 6.71/6.98 (define @t1775 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 6.71/6.98 (define @t1776 () (@list @t21)) % 6.71/6.98 (define @t1777 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1589)) % 6.71/6.98 (define @t1778 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t757)) % 6.71/6.98 (define @t1779 () (tptp.hAPP @t169 @t925)) % 6.71/6.98 (define @t1780 () (tptp.class_Rings_Oring__1 @t10)) % 6.71/6.98 (define @t1781 () (tptp.hAPP @t1536 @t220)) % 6.71/6.98 (define @t1782 () (tptp.hBOOL (tptp.hAPP @t1781 @t1508))) % 6.71/6.98 (define @t1783 () (tptp.hAPP tptp.c_Int_Onat @t220)) % 6.71/6.98 (define @t1784 () (@list @t220)) % 6.71/6.98 (define @t1785 () (tptp.hAPP tptp.c_Int_Onat @t70)) % 6.71/6.98 (define @t1786 () (= @t1785 @t890)) % 6.71/6.98 (define @t1787 () (tptp.hBOOL (tptp.hAPP @t1668 @t1508))) % 6.71/6.98 (define @t1788 () (tptp.hAPP tptp.c_Int_Onat @t1354)) % 6.71/6.98 (define @t1789 () (tptp.hAPP @t599 @t1788)) % 6.71/6.98 (define @t1790 () (tptp.hBOOL (tptp.hAPP @t1789 @t1766))) % 6.71/6.98 (define @t1791 () (= @t1790 @t1576)) % 6.71/6.98 (define @t1792 () (tptp.hAPP @t169 @t1321)) % 6.71/6.98 (define @t1793 () (tptp.hBOOL (tptp.hAPP @t345 @t1747))) % 6.71/6.98 (define @t1794 () (tptp.hAPP @t169 @t1050)) % 6.71/6.98 (define @t1795 () (tptp.hAPP @t1536 @t51)) % 6.71/6.98 (define @t1796 () (tptp.hBOOL (tptp.hAPP @t1795 @t97))) % 6.71/6.98 (define @t1797 () (tptp.hAPP @t169 @t1322)) % 6.71/6.98 (define @t1798 () (tptp.hAPP @t1511 @t1785)) % 6.71/6.98 (define @t1799 () (= @t1798 @t70)) % 6.71/6.98 (define @t1800 () (=> @t1600 @t1799)) % 6.71/6.98 (define @t1801 () (@list @t513 @t181)) % 6.71/6.98 (define @t1802 () (tptp.hAPP @t169 @t1259)) % 6.71/6.98 (define @t1803 () (tptp.hBOOL (tptp.hAPP @t1592 @t1354))) % 6.71/6.98 (define @t1804 () (tptp.hAPP @t1521 @t51)) % 6.71/6.98 (define @t1805 () (tptp.hBOOL (tptp.hAPP @t1804 @t97))) % 6.71/6.98 (define @t1806 () (and (=> @t1803 (= @t1354 @t1562)) (=> (not @t1803) @t996))) % 6.71/6.98 (define @t1807 () (@list @t181 @t1354)) % 6.71/6.98 (define @t1808 () (tptp.hAPP @t1521 @t220)) % 6.71/6.98 (define @t1809 () (@list @t220 @t60)) % 6.71/6.98 (define @t1810 () (tptp.hAPP tptp.c_Int_Onat @t1582)) % 6.71/6.98 (define @t1811 () (tptp.hBOOL (tptp.hAPP @t1592 @t1582))) % 6.71/6.98 (define @t1812 () (@list @t1582 @t70)) % 6.71/6.98 (define @t1813 () (tptp.hAPP tptp.c_Int_Onat @t64)) % 6.71/6.98 (define @t1814 () (tptp.hAPP tptp.c_Int_Onat @t30)) % 6.71/6.98 (define @t1815 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1542 @t1582))) % 6.71/6.98 (define @t1816 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1589)) % 6.71/6.98 (define @t1817 () (tptp.class_Int_Oring__char__0 @t10)) % 6.71/6.98 (define @t1818 () (tptp.hAPP @t1521 @t1538)) % 6.71/6.98 (define @t1819 () (tptp.hAPP @t1519 @t1538)) % 6.71/6.98 (define @t1820 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t209)) % 6.71/6.98 (define @t1821 () (tptp.hBOOL (tptp.hAPP @t1530 @t209))) % 6.71/6.98 (define @t1822 () (= @t209 @t1508)) % 6.71/6.98 (define @t1823 () (@list @t209)) % 6.71/6.98 (define @t1824 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t30)) % 6.71/6.98 (define @t1825 () (tptp.hBOOL (tptp.hAPP @t1143 @t30))) % 6.71/6.98 (define @t1826 () (= @t30 @t960)) % 6.71/6.98 (define @t1827 () (tptp.c_Int_Oring__1__class_Oof__int @t31)) % 6.71/6.98 (define @t1828 () (tptp.hAPP @t1827 @t208)) % 6.71/6.98 (define @t1829 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t208) @t1508))) % 6.71/6.98 (define @t1830 () (tptp.hAPP @t1519 @t208)) % 6.71/6.98 (define @t1831 () (@list @t208 @t31)) % 6.71/6.98 (define @t1832 () (tptp.hAPP @t1775 @t20)) % 6.71/6.98 (define @t1833 () (tptp.hAPP @t1775 @t21)) % 6.71/6.98 (define @t1834 () (tptp.hAPP (tptp.hAPP @t1816 @t21) @t20)) % 6.71/6.98 (define @t1835 () (tptp.c_Nat__Transfer_Onat__set @t20)) % 6.71/6.98 (define @t1836 () (tptp.c_Nat__Transfer_Onat__set @t21)) % 6.71/6.98 (define @t1837 () (tptp.c_Int_Oring__1__class_Oof__int @t10)) % 6.71/6.98 (define @t1838 () (tptp.hAPP @t1837 @t513)) % 6.71/6.98 (define @t1839 () (tptp.hAPP @t1837 @t1354)) % 6.71/6.98 (define @t1840 () (@list @t513 @t1354 @t10)) % 6.71/6.98 (define @t1841 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t51 @t97))) % 6.71/6.98 (define @t1842 () (tptp.c_Nat__Transfer_Ois__nat @t51)) % 6.71/6.98 (define @t1843 () (tptp.hAPP (tptp.hAPP @t1777 @t21) @t20)) % 6.71/6.98 (define @t1844 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1679 @t51) @t21))) % 6.71/6.98 (define @t1845 () (@list @t51 @t21)) % 6.71/6.98 (define @t1846 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1847 () (tptp.c_Nat__Transfer_Ois__nat @t64)) % 6.71/6.98 (define @t1848 () (tptp.c_Nat__Transfer_Ois__nat @t30)) % 6.71/6.98 (define @t1849 () (= @t513 @t1508)) % 6.71/6.98 (define @t1850 () (@list @t513 @t10)) % 6.71/6.98 (define @t1851 () (tptp.hAPP @t1827 @t70)) % 6.71/6.98 (define @t1852 () (tptp.hAPP @t1827 @t1544)) % 6.71/6.98 (define @t1853 () (@list @t70 @t1544 @t31)) % 6.71/6.98 (define @t1854 () (@list @t70 @t31)) % 6.71/6.98 (define @t1855 () (@list @t51)) % 6.71/6.98 (define @t1856 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1857 () (tptp.hAPP (tptp.hAPP @t1525 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1856 (tptp.hAPP @t1741 @t70))) @t1538)) @t528)) % 6.71/6.98 (define @t1858 () (tptp.hBOOL (tptp.hAPP @t1530 @t528))) % 6.71/6.98 (define @t1859 () (tptp.hAPP @t1514 @t261)) % 6.71/6.98 (define @t1860 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1861 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t1862 () (tptp.hAPP @t1861 @t1411)) % 6.71/6.98 (define @t1863 () (tptp.hAPP (tptp.hAPP @t911 @t1862) @t1243)) % 6.71/6.98 (define @t1864 () (@list @t1411)) % 6.71/6.98 (define @t1865 () (tptp.hAPP @t1859 @t227)) % 6.71/6.98 (define @t1866 () (@var "V_b_1" $$unsorted)) % 6.71/6.98 (define @t1867 () (@var "V_a_1" $$unsorted)) % 6.71/6.98 (define @t1868 () (not (= @t1866 @t1508))) % 6.71/6.98 (define @t1869 () (tptp.hAPP @t1521 @t1866)) % 6.71/6.98 (define @t1870 () (tptp.hBOOL (tptp.hAPP @t1530 @t1866))) % 6.71/6.98 (define @t1871 () (not @t1870)) % 6.71/6.98 (define @t1872 () (@var "V_q_1" $$unsorted)) % 6.71/6.98 (define @t1873 () (tptp.hAPP @t1525 @t1866)) % 6.71/6.98 (define @t1874 () (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1651 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1628 @t82))) @t1436)) % 6.71/6.98 (define @t1875 () (tptp.hBOOL (tptp.hAPP @t1530 @t82))) % 6.71/6.98 (define @t1876 () (@list @t1628 @t1436 @t85 @t82)) % 6.71/6.98 (define @t1877 () (tptp.c_Int_Onumber__class_Onumber__of @t31)) % 6.71/6.98 (define @t1878 () (tptp.hAPP @t1877 @t1411)) % 6.71/6.98 (define @t1879 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 6.71/6.98 (define @t1880 () (tptp.hAPP @t1879 @t1411)) % 6.71/6.98 (define @t1881 () (tptp.class_Int_Onumber__ring @t31)) % 6.71/6.98 (define @t1882 () (@list @t1411 @t31)) % 6.71/6.98 (define @t1883 () (tptp.c_Divides_Odiv__class_Omod @t31 @t81 @t85)) % 6.71/6.98 (define @t1884 () (tptp.class_Divides_Osemiring__div @t31)) % 6.71/6.98 (define @t1885 () (tptp.c_Groups_Oabs__class_Oabs @t31)) % 6.71/6.98 (define @t1886 () (tptp.hAPP @t1885 @t81)) % 6.71/6.98 (define @t1887 () (tptp.class_Groups_Oordered__ab__group__add__abs @t31)) % 6.71/6.98 (define @t1888 () (tptp.c_Int_Onumber__class_Onumber__of @t10)) % 6.71/6.98 (define @t1889 () (tptp.hAPP @t1888 @t1354)) % 6.71/6.98 (define @t1890 () (tptp.class_Int_Onumber @t10)) % 6.71/6.98 (define @t1891 () (tptp.hAPP @t1888 @t97)) % 6.71/6.98 (define @t1892 () (tptp.hAPP @t1888 @t51)) % 6.71/6.98 (define @t1893 () (= @t1892 @t1891)) % 6.71/6.98 (define @t1894 () (tptp.class_Int_Onumber__ring @t10)) % 6.71/6.98 (define @t1895 () (and @t1894 @t1817)) % 6.71/6.98 (define @t1896 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1886) @t85))) % 6.71/6.98 (define @t1897 () (tptp.c_Groups_Oabs__class_Oabs @t10)) % 6.71/6.98 (define @t1898 () (tptp.hAPP @t1897 @t173)) % 6.71/6.98 (define @t1899 () (tptp.class_Groups_Oordered__ab__group__add__abs @t10)) % 6.71/6.98 (define @t1900 () (@var "V_a_H" $$unsorted)) % 6.71/6.98 (define @t1901 () (tptp.c_Divides_Odiv__class_Omod @t31 @t1279 @t82)) % 6.71/6.98 (define @t1902 () (tptp.c_Divides_Odiv__class_Omod @t31 @t85 @t82)) % 6.71/6.98 (define @t1903 () (= @t1902 (tptp.c_Divides_Odiv__class_Omod @t31 @t1638 @t82))) % 6.71/6.98 (define @t1904 () (tptp.c_Divides_Odiv__class_Omod @t31 @t81 @t82)) % 6.71/6.98 (define @t1905 () (= @t1904 (tptp.c_Divides_Odiv__class_Omod @t31 @t1900 @t82))) % 6.71/6.98 (define @t1906 () (@list @t1638 @t85 @t1900 @t82 @t81 @t31)) % 6.71/6.98 (define @t1907 () (tptp.hAPP @t1262 @t1904)) % 6.71/6.98 (define @t1908 () (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1907 @t85) @t82)) % 6.71/6.98 (define @t1909 () (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1268 @t1902) @t82)) % 6.71/6.98 (define @t1910 () (tptp.c_Divides_Odiv__class_Omod @t31 @t1043 @t82)) % 6.71/6.98 (define @t1911 () (tptp.hAPP @t1041 @t1904)) % 6.71/6.98 (define @t1912 () (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1911 @t85) @t82)) % 6.71/6.98 (define @t1913 () (tptp.hAPP @t1885 @t85)) % 6.71/6.98 (define @t1914 () (tptp.hAPP (tptp.hAPP @t1262 @t1886) @t1913)) % 6.71/6.98 (define @t1915 () (tptp.hAPP @t1041 @t1886)) % 6.71/6.98 (define @t1916 () (tptp.hAPP @t1915 @t1913)) % 6.71/6.98 (define @t1917 () (= (tptp.hAPP @t1885 @t1043) @t1916)) % 6.71/6.98 (define @t1918 () (tptp.c_Divides_Odiv__class_Omod @t31 @t844 @t82)) % 6.71/6.98 (define @t1919 () (tptp.class_Divides_Oring__div @t31)) % 6.71/6.98 (define @t1920 () (tptp.hAPP @t840 @t1904)) % 6.71/6.98 (define @t1921 () (tptp.hAPP @t1885 @t842)) % 6.71/6.98 (define @t1922 () (tptp.hAPP @t1885 @t844)) % 6.71/6.98 (define @t1923 () (tptp.c_Divides_Odiv__class_Omod @t31 @t574 @t85)) % 6.71/6.98 (define @t1924 () (@list @t85)) % 6.71/6.98 (define @t1925 () (@list @t81)) % 6.71/6.98 (define @t1926 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t85 @t82)) % 6.71/6.98 (define @t1927 () (tptp.hAPP @t1631 @t1926)) % 6.71/6.98 (define @t1928 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1927 @t82)) % 6.71/6.98 (define @t1929 () (tptp.hAPP @t1631 @t85)) % 6.71/6.98 (define @t1930 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1929 @t82)) % 6.71/6.98 (define @t1931 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1742 @t193)) % 6.71/6.98 (define @t1932 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t30 @t193)) % 6.71/6.98 (define @t1933 () (@list @t64 @t193 @t30)) % 6.71/6.98 (define @t1934 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t85)) % 6.71/6.98 (define @t1935 () (tptp.hAPP @t1519 @t85)) % 6.71/6.98 (define @t1936 () (tptp.hAPP @t1519 @t81)) % 6.71/6.98 (define @t1937 () (@list @t85 @t81)) % 6.71/6.98 (define @t1938 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1936 @t85)) % 6.71/6.98 (define @t1939 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t1935)) % 6.71/6.98 (define @t1940 () (tptp.hAPP @t1305 @t1862)) % 6.71/6.98 (define @t1941 () (= @t1940 @t960)) % 6.71/6.98 (define @t1942 () (tptp.hBOOL (tptp.hAPP @t1592 @t1880))) % 6.71/6.98 (define @t1943 () (= @t1940 @t1878)) % 6.71/6.98 (define @t1944 () (tptp.hAPP @t1877 @t208)) % 6.71/6.98 (define @t1945 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t30 @t64)) % 6.71/6.98 (define @t1946 () (tptp.hAPP @t1877 @t30)) % 6.71/6.98 (define @t1947 () (tptp.hAPP @t1885 @t1946)) % 6.71/6.98 (define @t1948 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1946) @t960))) % 6.71/6.98 (define @t1949 () (and @t1881 @t1199)) % 6.71/6.98 (define @t1950 () (= @t1886 @t81)) % 6.71/6.98 (define @t1951 () (tptp.hAPP @t99 @t1898)) % 6.71/6.98 (define @t1952 () (tptp.hAPP @t622 @t1886)) % 6.71/6.98 (define @t1953 () (not @t962)) % 6.71/6.98 (define @t1954 () (tptp.hAPP (tptp.hAPP @t840 @t1886) @t1913)) % 6.71/6.98 (define @t1955 () (tptp.hAPP @t32 @t1954)) % 6.71/6.98 (define @t1956 () (tptp.hAPP @t1268 @t1118)) % 6.71/6.98 (define @t1957 () (tptp.hAPP @t1268 @t1068)) % 6.71/6.98 (define @t1958 () (tptp.hAPP @t32 @t574)) % 6.71/6.98 (define @t1959 () (tptp.hBOOL (tptp.hAPP @t1958 @t85))) % 6.71/6.98 (define @t1960 () (tptp.c_Finite__Set_Ocard @t10)) % 6.71/6.98 (define @t1961 () (@var "V_v_2" $$unsorted)) % 6.71/6.98 (define @t1962 () (tptp.hAPP @t1888 @t1961)) % 6.71/6.98 (define @t1963 () (tptp.hAPP @t591 @t1889)) % 6.71/6.98 (define @t1964 () (@list @t1354 @t1961 @t10)) % 6.71/6.98 (define @t1965 () (tptp.hAPP @t1888 @t1411)) % 6.71/6.98 (define @t1966 () (tptp.hAPP (tptp.hAPP @t1019 @t85) @t1965)) % 6.71/6.98 (define @t1967 () (tptp.hAPP (tptp.hAPP @t1019 @t81) @t1965)) % 6.71/6.98 (define @t1968 () (and @t1890 (tptp.class_Rings_Osemiring @t10))) % 6.71/6.98 (define @t1969 () (@list @t1411 @t85 @t81 @t10)) % 6.71/6.98 (define @t1970 () (tptp.hAPP @t1019 @t1965)) % 6.71/6.98 (define @t1971 () (tptp.hAPP @t1970 @t82)) % 6.71/6.98 (define @t1972 () (tptp.hAPP @t1970 @t85)) % 6.71/6.98 (define @t1973 () (@list @t82 @t85 @t1411 @t10)) % 6.71/6.98 (define @t1974 () (and @t1890 @t1443)) % 6.71/6.98 (define @t1975 () (tptp.hAPP @t99 @t1892)) % 6.71/6.98 (define @t1976 () (and @t1894 @t1011)) % 6.71/6.98 (define @t1977 () (tptp.hAPP @t591 @t1892)) % 6.71/6.98 (define @t1978 () (tptp.hAPP @t1960 @t21)) % 6.71/6.98 (define @t1979 () (tptp.c_Finite__Set_Ocard @t41)) % 6.71/6.98 (define @t1980 () (tptp.hAPP @t1979 @t819)) % 6.71/6.98 (define @t1981 () (= @t1980 @t1978)) % 6.71/6.98 (define @t1982 () (tptp.hAPP @t1877 @t1544)) % 6.71/6.98 (define @t1983 () (tptp.hAPP @t1262 @t1878)) % 6.71/6.98 (define @t1984 () (tptp.hAPP @t1983 @t1982)) % 6.71/6.98 (define @t1985 () (tptp.hAPP @t1549 @t1411)) % 6.71/6.98 (define @t1986 () (tptp.hAPP @t1985 @t1544)) % 6.71/6.98 (define @t1987 () (tptp.hAPP @t1877 @t1986)) % 6.71/6.98 (define @t1988 () (@list @t1544 @t1411 @t31)) % 6.71/6.98 (define @t1989 () (@list @t70 @t1544 @t1411 @t31)) % 6.71/6.98 (define @t1990 () (@list @t208 @t193)) % 6.71/6.98 (define @t1991 () (tptp.hBOOL (tptp.hAPP @t1695 @t1934))) % 6.71/6.98 (define @t1992 () (tptp.hBOOL (tptp.hAPP @t1695 @t1508))) % 6.71/6.98 (define @t1993 () (@list @t81 @t85)) % 6.71/6.98 (define @t1994 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1934) @t85))) % 6.71/6.98 (define @t1995 () (tptp.hBOOL (tptp.hAPP @t1530 @t85))) % 6.71/6.98 (define @t1996 () (tptp.hAPP @t1525 @t1411)) % 6.71/6.98 (define @t1997 () (tptp.hAPP @t1996 @t1544)) % 6.71/6.98 (define @t1998 () (tptp.hAPP @t1877 @t1997)) % 6.71/6.98 (define @t1999 () (tptp.hAPP @t1041 @t1878)) % 6.71/6.98 (define @t2000 () (tptp.hAPP @t1999 @t1982)) % 6.71/6.98 (define @t2001 () (tptp.hAPP (tptp.hAPP @t1525 @t193) @t176)) % 6.71/6.98 (define @t2002 () (@var "B_q" $$unsorted)) % 6.71/6.98 (define @t2003 () (@list @t2002)) % 6.71/6.98 (define @t2004 () (@list @t289 @t181)) % 6.71/6.98 (define @t2005 () (tptp.hAPP @t840 @t1878)) % 6.71/6.98 (define @t2006 () (tptp.hAPP @t2005 @t1982)) % 6.71/6.98 (define @t2007 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t208 @t943)) % 6.71/6.98 (define @t2008 () (not (= @t2007 @t1508))) % 6.71/6.98 (define @t2009 () (tptp.hAPP @t1519 @t943)) % 6.71/6.98 (define @t2010 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t208 @t2009)) % 6.71/6.98 (define @t2011 () (@list @t943 @t208)) % 6.71/6.98 (define @t2012 () (tptp.hAPP @t1877 @t1568)) % 6.71/6.98 (define @t2013 () (tptp.hAPP @t447 @t1982)) % 6.71/6.98 (define @t2014 () (@list @t1544 @t31)) % 6.71/6.98 (define @t2015 () (tptp.hAPP @t1885 @t30)) % 6.71/6.98 (define @t2016 () (tptp.hAPP @t169 @t1889)) % 6.71/6.98 (define @t2017 () (@list @t1354 @t10)) % 6.71/6.98 (define @t2018 () (= @t1886 @t574)) % 6.71/6.98 (define @t2019 () (=> @t1151 @t2018)) % 6.71/6.98 (define @t2020 () (tptp.c_Fun_Oinj__on @t41 @t10 @t2 @t21)) % 6.71/6.98 (define @t2021 () (tptp.hAPP @t1979 @t21)) % 6.71/6.98 (define @t2022 () (tptp.hAPP @t1856 @t209)) % 6.71/6.98 (define @t2023 () (tptp.hBOOL (tptp.hAPP @t1527 @t1508))) % 6.71/6.98 (define @t2024 () (tptp.hBOOL (tptp.hAPP @t1592 @t1934))) % 6.71/6.98 (define @t2025 () (= @t1934 @t81)) % 6.71/6.98 (define @t2026 () (tptp.hAPP @t1521 @t81)) % 6.71/6.98 (define @t2027 () (tptp.hBOOL (tptp.hAPP @t2026 @t85))) % 6.71/6.98 (define @t2028 () (tptp.hBOOL (tptp.hAPP @t1592 @t81))) % 6.71/6.98 (define @t2029 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1934) @t1508))) % 6.71/6.98 (define @t2030 () (tptp.hBOOL (tptp.hAPP @t1695 @t81))) % 6.71/6.98 (define @t2031 () (tptp.hAPP @t1536 @t81)) % 6.71/6.98 (define @t2032 () (tptp.hBOOL (tptp.hAPP @t2031 @t1508))) % 6.71/6.98 (define @t2033 () (tptp.hAPP @t1985 @t1568)) % 6.71/6.98 (define @t2034 () (tptp.hAPP @t1877 @t2033)) % 6.71/6.98 (define @t2035 () (tptp.hAPP @t1514 @t85)) % 6.71/6.98 (define @t2036 () (= @t1934 @t1508)) % 6.71/6.98 (define @t2037 () (not @t2036)) % 6.71/6.98 (define @t2038 () (tptp.hAPP tptp.c_Int_Onat @t1865)) % 6.71/6.98 (define @t2039 () (tptp.hAPP @t1663 @t261)) % 6.71/6.98 (define @t2040 () (tptp.hAPP @t1549 @t81)) % 6.71/6.98 (define @t2041 () (tptp.hAPP @t2040 @t85)) % 6.71/6.98 (define @t2042 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2041) @t1508))) % 6.71/6.98 (define @t2043 () (tptp.hBOOL (tptp.hAPP @t60 @t993))) % 6.71/6.98 (define @t2044 () (= @t115 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1753 @t898)) @t993))) % 6.71/6.98 (define @t2045 () (and (tptp.hBOOL (tptp.hAPP @t1604 @t993)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t993) @t1508)) @t2044)) % 6.71/6.98 (define @t2046 () (@list @t898 @t993)) % 6.71/6.98 (define @t2047 () (tptp.hAPP @t1604 @t1508)) % 6.71/6.98 (define @t2048 () (tptp.hBOOL @t2047)) % 6.71/6.98 (define @t2049 () (and (tptp.hBOOL (tptp.hAPP @t1592 @t993)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t993) @t151)) @t2044)) % 6.71/6.98 (define @t2050 () (tptp.hBOOL (tptp.hAPP @t1530 @t151))) % 6.71/6.98 (define @t2051 () (= @t151 @t1508)) % 6.71/6.98 (define @t2052 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t115 @t151)) % 6.71/6.98 (define @t2053 () (@list @t151 @t115 @t60)) % 6.71/6.98 (define @t2054 () (@list @t1628 @t85 @t1436 @t82)) % 6.71/6.98 (define @t2055 () (tptp.hAPP @t1651 @t82)) % 6.71/6.98 (define @t2056 () (tptp.c_SMT_Oz3mod @t208 @t943)) % 6.71/6.98 (define @t2057 () (tptp.hBOOL (tptp.hAPP @t1592 @t943))) % 6.71/6.98 (define @t2058 () (not @t2057)) % 6.71/6.98 (define @t2059 () (@list @t208 @t943)) % 6.71/6.98 (define @t2060 () (tptp.hAPP @t1960 @t786)) % 6.71/6.98 (define @t2061 () (tptp.hAPP @t911 @t1978)) % 6.71/6.98 (define @t2062 () (=> @t351 (= @t2060 (tptp.hAPP @t2061 @t1243)))) % 6.71/6.98 (define @t2063 () (tptp.c_Finite__Set_Ofinite @t10)) % 6.71/6.98 (define @t2064 () (tptp.hBOOL (tptp.hAPP @t2063 @t21))) % 6.71/6.98 (define @t2065 () (tptp.hAPP @t1324 @t2060)) % 6.71/6.98 (define @t2066 () (@var "B_B" $$unsorted)) % 6.71/6.98 (define @t2067 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1856 @t64))) % 6.71/6.98 (define @t2068 () (tptp.hAPP @t1856 @t30)) % 6.71/6.98 (define @t2069 () (tptp.hAPP tptp.c_Int_Onat @t2068)) % 6.71/6.98 (define @t2070 () (tptp.hAPP @t753 @t261)) % 6.71/6.98 (define @t2071 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2072 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 6.71/6.98 (define @t2073 () (tptp.hBOOL (tptp.hAPP @t2063 @t675))) % 6.71/6.98 (define @t2074 () (@list @t173 @t21 @t10)) % 6.71/6.98 (define @t2075 () (@var "V_h_2" $$unsorted)) % 6.71/6.98 (define @t2076 () (tptp.c_Set_Oimage @t10 @t41 @t2075)) % 6.71/6.98 (define @t2077 () (tptp.c_Finite__Set_Ofinite @t41)) % 6.71/6.98 (define @t2078 () (tptp.hBOOL (tptp.hAPP @t2063 @t791))) % 6.71/6.98 (define @t2079 () (@list @t2075 @t41 @t791 @t10)) % 6.71/6.98 (define @t2080 () (tptp.hBOOL (tptp.hAPP @t2063 @t9))) % 6.71/6.98 (define @t2081 () (@list @t9 @t791 @t10)) % 6.71/6.98 (define @t2082 () (tptp.hBOOL (tptp.hAPP @t2063 @t800))) % 6.71/6.98 (define @t2083 () (@var "V_M_2" $$unsorted)) % 6.71/6.98 (define @t2084 () (tptp.hBOOL (tptp.hAPP @t2063 @t3))) % 6.71/6.98 (define @t2085 () (@list @t2083 @t10)) % 6.71/6.98 (define @t2086 () (tptp.c_Finite__Set_Ofinite @t23)) % 6.71/6.98 (define @t2087 () (tptp.hBOOL (tptp.hAPP @t2086 @t21))) % 6.71/6.98 (define @t2088 () (tptp.hBOOL (tptp.hAPP @t2063 @t243))) % 6.71/6.98 (define @t2089 () (tptp.class_Finite__Set_Ofinite @t10)) % 6.71/6.98 (define @t2090 () (tptp.hAPP @t20 @t3)) % 6.71/6.98 (define @t2091 () (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t2077 @t2090))))) % 6.71/6.98 (define @t2092 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t393)) % 6.71/6.98 (define @t2093 () (tptp.hAPP @t2092 @t21)) % 6.71/6.98 (define @t2094 () (tptp.hAPP @t2093 @t20)) % 6.71/6.98 (define @t2095 () (tptp.hBOOL (tptp.hAPP @t2077 @t2094))) % 6.71/6.98 (define @t2096 () (@list @t20 @t41 @t21 @t10)) % 6.71/6.98 (define @t2097 () (tptp.tc_prod @t10 @t41)) % 6.71/6.98 (define @t2098 () (tptp.tc_fun @t2097 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t2099 () (tptp.c_Orderings_Otop__class_Otop @t2098)) % 6.71/6.98 (define @t2100 () (tptp.c_Finite__Set_Ofinite @t2097)) % 6.71/6.98 (define @t2101 () (tptp.hBOOL (tptp.hAPP @t2077 @t858))) % 6.71/6.98 (define @t2102 () (tptp.hBOOL (tptp.hAPP @t2063 @t165))) % 6.71/6.98 (define @t2103 () (@list @t41 @t10)) % 6.71/6.98 (define @t2104 () (tptp.tc_sum @t10 @t41)) % 6.71/6.98 (define @t2105 () (tptp.tc_fun @t2104 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t2106 () (tptp.c_Orderings_Otop__class_Otop @t2105)) % 6.71/6.98 (define @t2107 () (tptp.c_Finite__Set_Ofinite @t2104)) % 6.71/6.98 (define @t2108 () (tptp.tc_Option_Ooption @t10)) % 6.71/6.98 (define @t2109 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t193 @t176)) % 6.71/6.98 (define @t2110 () (tptp.hAPP tptp.c_Nat_OSuc @t2109)) % 6.71/6.98 (define @t2111 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t198 @t176)) % 6.71/6.98 (define @t2112 () (=> @t603 (= @t2109 @t193))) % 6.71/6.98 (define @t2113 () (tptp.hAPP @t178 @t2109)) % 6.71/6.98 (define @t2114 () (tptp.hAPP @t1536 @t151)) % 6.71/6.98 (define @t2115 () (tptp.hBOOL (tptp.hAPP @t2114 @t227))) % 6.71/6.98 (define @t2116 () (tptp.hAPP @t1879 @t227)) % 6.71/6.98 (define @t2117 () (tptp.hAPP @t1879 @t151)) % 6.71/6.98 (define @t2118 () (tptp.hAPP @t1879 @t1544)) % 6.71/6.98 (define @t2119 () (tptp.hAPP @t1549 @t1880)) % 6.71/6.98 (define @t2120 () (@list @t1544 @t1411)) % 6.71/6.98 (define @t2121 () (tptp.hAPP @t1519 @t2118)) % 6.71/6.98 (define @t2122 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t46 tptp.tc_HOL_Obool))) % 6.71/6.98 (define @t2123 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t46) @t2122))) % 6.71/6.98 (define @t2124 () (tptp.hBOOL (tptp.hAPP @t1004 @t1071))) % 6.71/6.98 (define @t2125 () (tptp.hBOOL (tptp.hAPP @t2071 @t1071))) % 6.71/6.98 (define @t2126 () (tptp.hBOOL (tptp.hAPP @t2063 @t20))) % 6.71/6.98 (define @t2127 () (tptp.hBOOL (tptp.hAPP @t2063 (tptp.hAPP (tptp.hAPP @t269 @t791) @t9)))) % 6.71/6.98 (define @t2128 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2129 () (tptp.hBOOL (tptp.hAPP @t886 @t51))) % 6.71/6.98 (define @t2130 () (= @t2110 @t176)) % 6.71/6.98 (define @t2131 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t915 @t176)) % 6.71/6.98 (define @t2132 () (= @t2109 @t2131)) % 6.71/6.98 (define @t2133 () (=> @t704 @t2132)) % 6.71/6.98 (define @t2134 () (tptp.hAPP (tptp.hAPP @t1248 @t1037) @t193)) % 6.71/6.98 (define @t2135 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t30 @t64)) % 6.71/6.98 (define @t2136 () (tptp.hAPP @t1511 @t85)) % 6.71/6.98 (define @t2137 () (tptp.hAPP @t1511 @t81)) % 6.71/6.98 (define @t2138 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t85)) % 6.71/6.98 (define @t2139 () (tptp.hAPP @t911 @t261)) % 6.71/6.98 (define @t2140 () (tptp.hAPP @t2139 @t227)) % 6.71/6.98 (define @t2141 () (tptp.hAPP @t1861 @t1544)) % 6.71/6.98 (define @t2142 () (tptp.hBOOL (tptp.hAPP @t2077 @t20))) % 6.71/6.98 (define @t2143 () (tptp.hAPP @t395 @t20)) % 6.71/6.98 (define @t2144 () (tptp.hBOOL (tptp.hAPP @t2143 @t819))) % 6.71/6.98 (define @t2145 () (= @t1978 @t890)) % 6.71/6.98 (define @t2146 () (not @t2064)) % 6.71/6.98 (define @t2147 () (=> @t2146 @t2145)) % 6.71/6.98 (define @t2148 () (tptp.hBOOL (tptp.hAPP @t2077 @t21))) % 6.71/6.98 (define @t2149 () (tptp.hAPP @t1960 @t165)) % 6.71/6.98 (define @t2150 () (tptp.hBOOL (tptp.hAPP @t910 @t1978))) % 6.71/6.98 (define @t2151 () (tptp.c_Set_Oimage @t10 @t10 @t2)) % 6.71/6.98 (define @t2152 () (tptp.hAPP @t2151 @t21)) % 6.71/6.98 (define @t2153 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t21)) % 6.71/6.98 (define @t2154 () (@list @t2 @t21 @t10)) % 6.71/6.98 (define @t2155 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t165)) % 6.71/6.98 (define @t2156 () (= (tptp.hAPP @t2151 @t165) @t165)) % 6.71/6.98 (define @t2157 () (tptp.hAPP @t1960 @t634)) % 6.71/6.98 (define @t2158 () (tptp.hAPP @t178 @t1978)) % 6.71/6.98 (define @t2159 () (tptp.hAPP @t1960 @t20)) % 6.71/6.98 (define @t2160 () (@list @t2 @t41 @t21 @t10)) % 6.71/6.98 (define @t2161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1978) @t2159))) % 6.71/6.98 (define @t2162 () (tptp.hAPP @t2128 @t21)) % 6.71/6.98 (define @t2163 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t151) (tptp.hAPP @t1291 @t2162))) % 6.71/6.98 (define @t2164 () (tptp.hAPP @t1028 @t85)) % 6.71/6.98 (define @t2165 () (tptp.hAPP @t2164 @t82)) % 6.71/6.98 (define @t2166 () (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2164 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1628 @t82))) @t1436)) % 6.71/6.98 (define @t2167 () (tptp.hBOOL (tptp.hAPP @t910 @t82))) % 6.71/6.98 (define @t2168 () (= @t115 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t1082 @t898)) @t993))) % 6.71/6.98 (define @t2169 () (tptp.hBOOL (tptp.hAPP @t994 @t151))) % 6.71/6.98 (define @t2170 () (not @t1075)) % 6.71/6.98 (define @t2171 () (tptp.hAPP @t599 @t1243)) % 6.71/6.98 (define @t2172 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1814 @t1813)) % 6.71/6.98 (define @t2173 () (tptp.hAPP tptp.c_Int_Onat @t1945)) % 6.71/6.98 (define @t2174 () (tptp.hAPP @t1879 @t1961)) % 6.71/6.98 (define @t2175 () (=> @t674 (= @t2157 (tptp.hAPP tptp.c_Nat_OSuc @t1978)))) % 6.71/6.98 (define @t2176 () (tptp.hAPP @t1248 @t1978)) % 6.71/6.98 (define @t2177 () (tptp.hAPP @t2176 @t2159)) % 6.71/6.98 (define @t2178 () (tptp.hAPP @t1960 @t320)) % 6.71/6.98 (define @t2179 () (tptp.hAPP @t1960 @t311)) % 6.71/6.98 (define @t2180 () (tptp.hAPP (tptp.hAPP @t1248 @t2179) @t2178)) % 6.71/6.98 (define @t2181 () (tptp.hAPP @t1979 @t20)) % 6.71/6.98 (define @t2182 () (= @t1978 @t2181)) % 6.71/6.98 (define @t2183 () (tptp.c_Set_Oimage @t41 @t10 @t1)) % 6.71/6.98 (define @t2184 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t2183 @t20)) @t21))) % 6.71/6.98 (define @t2185 () (tptp.c_Fun_Oinj__on @t41 @t10 @t1 @t20)) % 6.71/6.98 (define @t2186 () (tptp.hBOOL (tptp.hAPP @t834 @t20))) % 6.71/6.98 (define @t2187 () (@list @t1 @t20 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t2188 () (tptp.hAPP @t2061 @t2159)) % 6.71/6.98 (define @t2189 () (tptp.hAPP @t1960 @t800)) % 6.71/6.98 (define @t2190 () (tptp.hAPP tptp.c_Nat_OSuc @t2060)) % 6.71/6.98 (define @t2191 () (= @t2179 @t2177)) % 6.71/6.98 (define @t2192 () (tptp.hBOOL (tptp.hAPP @t2158 @t2181))) % 6.71/6.98 (define @t2193 () (tptp.hAPP @t635 @t146)) % 6.71/6.98 (define @t2194 () (tptp.hAPP @t791 @t786)) % 6.71/6.98 (define @t2195 () (tptp.hAPP @t53 @t2194)) % 6.71/6.98 (define @t2196 () (tptp.hAPP @t791 @t21)) % 6.71/6.98 (define @t2197 () (= @t786 @t146)) % 6.71/6.98 (define @t2198 () (not @t2197)) % 6.71/6.98 (define @t2199 () (tptp.c_Finite__Set_Ofolding__one @t10 @t2 @t791)) % 6.71/6.98 (define @t2200 () (@list @t51 @t21 @t791 @t2 @t10)) % 6.71/6.98 (define @t2201 () (tptp.hAPP @t830 @t51)) % 6.71/6.98 (define @t2202 () (tptp.hAPP @t2 @t52)) % 6.71/6.98 (define @t2203 () (tptp.hAPP @t2202 (tptp.hAPP @t791 (tptp.hAPP @t809 (tptp.hAPP @t2201 @t825))))) % 6.71/6.98 (define @t2204 () (tptp.c_Finite__Set_Ofolding__image__simple @t10 @t41 @t2 @t513 @t1 @t791)) % 6.71/6.98 (define @t2205 () (@list @t51 @t21 @t791 @t1 @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t2206 () (= @t1243 @t890)) % 6.71/6.98 (define @t2207 () (tptp.hBOOL (tptp.hAPP @t170 @t320))) % 6.71/6.98 (define @t2208 () (@var "V_v_H" $$unsorted)) % 6.71/6.98 (define @t2209 () (tptp.hAPP @t1879 @t2208)) % 6.71/6.98 (define @t2210 () (tptp.hAPP @t1861 @t2208)) % 6.71/6.98 (define @t2211 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t936 @t2210)) % 6.71/6.98 (define @t2212 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2209))) % 6.71/6.98 (define @t2213 () (not @t2212)) % 6.71/6.98 (define @t2214 () (@list @t2208)) % 6.71/6.98 (define @t2215 () (tptp.hAPP @t791 @t20)) % 6.71/6.98 (define @t2216 () (tptp.hAPP (tptp.hAPP @t2 @t2196) @t2215)) % 6.71/6.98 (define @t2217 () (tptp.hAPP @t791 @t320)) % 6.71/6.98 (define @t2218 () (tptp.hAPP @t791 @t311)) % 6.71/6.98 (define @t2219 () (not @t399)) % 6.71/6.98 (define @t2220 () (@list @t20 @t21 @t791 @t2 @t10)) % 6.71/6.98 (define @t2221 () (= @t2218 @t2216)) % 6.71/6.98 (define @t2222 () (not @t407)) % 6.71/6.98 (define @t2223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t23)) % 6.71/6.98 (define @t2224 () (tptp.hAPP @t2223 @t21)) % 6.71/6.98 (define @t2225 () (tptp.hAPP @t2224 @t20)) % 6.71/6.98 (define @t2226 () (@var "V_Z_2" $$unsorted)) % 6.71/6.98 (define @t2227 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t70))) % 6.71/6.98 (define @t2228 () (= @t1862 @t890)) % 6.71/6.98 (define @t2229 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1880))) % 6.71/6.98 (define @t2230 () (@list @t51 @t791 @t2 @t10)) % 6.71/6.98 (define @t2231 () (@var "V_v_H_2" $$unsorted)) % 6.71/6.98 (define @t2232 () (tptp.hAPP @t1879 @t2231)) % 6.71/6.98 (define @t2233 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2232))) % 6.71/6.98 (define @t2234 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2174))) % 6.71/6.98 (define @t2235 () (tptp.hAPP @t1861 @t2231)) % 6.71/6.98 (define @t2236 () (tptp.hAPP @t1861 @t1961)) % 6.71/6.98 (define @t2237 () (@list @t2231 @t1961)) % 6.71/6.98 (define @t2238 () (tptp.hAPP @t1861 (tptp.hAPP @t1985 @t2208))) % 6.71/6.98 (define @t2239 () (tptp.hAPP (tptp.hAPP @t1248 @t2210) @t208)) % 6.71/6.98 (define @t2240 () (tptp.hAPP @t1248 @t1862)) % 6.71/6.98 (define @t2241 () (tptp.hAPP @t2240 @t2239)) % 6.71/6.98 (define @t2242 () (not @t2229)) % 6.71/6.98 (define @t2243 () (@list @t208 @t2208 @t1411)) % 6.71/6.98 (define @t2244 () (tptp.hAPP @t1511 @t1862)) % 6.71/6.98 (define @t2245 () (tptp.hAPP @t2202 @t2196)) % 6.71/6.98 (define @t2246 () (tptp.hAPP @t791 (tptp.hAPP @t2201 @t21))) % 6.71/6.98 (define @t2247 () (= @t2246 @t2245)) % 6.71/6.98 (define @t2248 () (tptp.hAPP @t791 @t847)) % 6.71/6.98 (define @t2249 () (@list @t20 @t21 @t791 @t1 @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t2250 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1862 @t2210)) % 6.71/6.98 (define @t2251 () (@list @t2208 @t1411)) % 6.71/6.98 (define @t2252 () (tptp.hAPP @t53 @t2196)) % 6.71/6.98 (define @t2253 () (tptp.hAPP @t791 @t634)) % 6.71/6.98 (define @t2254 () (=> @t430 (= @t2253 @t2252))) % 6.71/6.98 (define @t2255 () (= @t2248 @t2216)) % 6.71/6.98 (define @t2256 () (tptp.hAPP @t1861 (tptp.c_Int_Osucc @t1411))) % 6.71/6.98 (define @t2257 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2240 @t176))) % 6.71/6.98 (define @t2258 () (@list @t176 @t1411)) % 6.71/6.98 (define @t2259 () (tptp.hAPP tptp.c_Nat_OSuc @t1862)) % 6.71/6.98 (define @t2260 () (@var "B_M" $$unsorted)) % 6.71/6.98 (define @t2261 () (tptp.c_Sum__Type_OPlus @t10 @t41 @t21 @t20)) % 6.71/6.98 (define @t2262 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t2104) @t2261)) % 6.71/6.98 (define @t2263 () (and @t2064 @t2142)) % 6.71/6.98 (define @t2264 () (= @t2262 (tptp.hAPP @t2176 @t2181))) % 6.71/6.98 (define @t2265 () (tptp.hAPP @t1012 (tptp.hAPP (tptp.hAPP @t594 @t282) @t146))) % 6.71/6.98 (define @t2266 () (tptp.hAPP @t5 @t282)) % 6.71/6.98 (define @t2267 () (@list @t21 @t791 @t2 @t10)) % 6.71/6.98 (define @t2268 () (tptp.c_Groups_Oone__class_Oone @t41)) % 6.71/6.98 (define @t2269 () (tptp.c_Groups_Otimes__class_Otimes @t41)) % 6.71/6.98 (define @t2270 () (tptp.c_Finite__Set_Ofold__image @t41 @t10 @t2269)) % 6.71/6.98 (define @t2271 () (tptp.hAPP @t2270 @t1)) % 6.71/6.98 (define @t2272 () (tptp.hAPP @t2271 @t2268)) % 6.71/6.98 (define @t2273 () (tptp.hAPP @t2272 @t21)) % 6.71/6.98 (define @t2274 () (tptp.hAPP @t2269 @t2273)) % 6.71/6.98 (define @t2275 () (tptp.hAPP @t2274 (tptp.hAPP @t2272 @t20))) % 6.71/6.98 (define @t2276 () (tptp.hAPP @t2272 @t311)) % 6.71/6.98 (define @t2277 () (tptp.class_Groups_Ocomm__monoid__mult @t41)) % 6.71/6.98 (define @t2278 () (@list @t1 @t20 @t21 @t10 @t41)) % 6.71/6.98 (define @t2279 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t10 @t41 @t2) @t1)) % 6.71/6.98 (define @t2280 () (tptp.hAPP @t2279 @t513)) % 6.71/6.98 (define @t2281 () (tptp.hAPP @t2280 @t21)) % 6.71/6.98 (define @t2282 () (tptp.c_Int_Osucc @t208)) % 6.71/6.98 (define @t2283 () (tptp.hAPP @t2271 @t513)) % 6.71/6.98 (define @t2284 () (tptp.hAPP @t2283 @t21)) % 6.71/6.98 (define @t2285 () (tptp.hAPP @t1 @t173)) % 6.71/6.98 (define @t2286 () (tptp.class_Groups_Oab__semigroup__mult @t41)) % 6.71/6.98 (define @t2287 () (tptp.hBOOL (tptp.hAPP @t2107 @t2261))) % 6.71/6.98 (define @t2288 () (@list @t20 @t21 @t41 @t10)) % 6.71/6.98 (define @t2289 () (= @t20 @t825)) % 6.71/6.98 (define @t2290 () (@var "V_T_2" $$unsorted)) % 6.71/6.98 (define @t2291 () (tptp.hAPP (tptp.hAPP @t2270 @t2) @t2268)) % 6.71/6.98 (define @t2292 () (tptp.hAPP @t2291 @t728)) % 6.71/6.98 (define @t2293 () (tptp.hAPP (tptp.hAPP @t269 @t728) @t2290)) % 6.71/6.98 (define @t2294 () (= @t5 @t2268)) % 6.71/6.98 (define @t2295 () (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP (tptp.hAPP @t264 @t728) @t2290)))) % 6.71/6.98 (define @t2296 () (forall @t7 (=> @t2295 @t2294))) % 6.71/6.98 (define @t2297 () (tptp.hBOOL (tptp.hAPP @t2063 @t2290))) % 6.71/6.98 (define @t2298 () (tptp.hBOOL (tptp.hAPP @t2063 @t728))) % 6.71/6.98 (define @t2299 () (@list @t2 @t2290 @t728 @t10 @t41)) % 6.71/6.98 (define @t2300 () (tptp.hBOOL (tptp.hAPP @t60 @t146))) % 6.71/6.98 (define @t2301 () (tptp.c_Finite__Set_Ofolding__one__idem @t10 @t2 @t791)) % 6.71/6.98 (define @t2302 () (tptp.hBOOL (tptp.hAPP @t60 @t791))) % 6.71/6.98 (define @t2303 () (@var "B_F" $$unsorted)) % 6.71/6.98 (define @t2304 () (tptp.hBOOL (tptp.hAPP @t60 @t2303))) % 6.71/6.98 (define @t2305 () (tptp.hBOOL (tptp.hAPP @t1232 @t21))) % 6.71/6.98 (define @t2306 () (tptp.hBOOL (tptp.hAPP @t2063 @t2303))) % 6.71/6.98 (define @t2307 () (= (tptp.hAPP @t53 @t51) @t51)) % 6.71/6.98 (define @t2308 () (= (tptp.hAPP (tptp.hAPP @t2 @t2215) @t2196) @t2196)) % 6.71/6.98 (define @t2309 () (tptp.hAPP @t2035 @t1538)) % 6.71/6.98 (define @t2310 () (tptp.hAPP @t1879 tptp.c_Int_OMin)) % 6.71/6.98 (define @t2311 () (tptp.hBOOL (tptp.hAPP @t899 @t993))) % 6.71/6.98 (define @t2312 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 6.71/6.98 (define @t2313 () (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t2312 @t115) @t151))) % 6.71/6.98 (define @t2314 () (tptp.hBOOL (tptp.hAPP @t2313 @t2052))) % 6.71/6.98 (define @t2315 () (@list @t115 @t60 @t151)) % 6.71/6.98 (define @t2316 () (tptp.hAPP @t2 @t898)) % 6.71/6.98 (define @t2317 () (= @t2316 @t151)) % 6.71/6.98 (define @t2318 () (tptp.hBOOL (tptp.hAPP @t1532 @t115))) % 6.71/6.98 (define @t2319 () (tptp.hBOOL (tptp.hAPP @t2114 @t216))) % 6.71/6.98 (define @t2320 () (tptp.hAPP @t2 @t890)) % 6.71/6.98 (define @t2321 () (tptp.hAPP @t1248 @t898)) % 6.71/6.98 (define @t2322 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.hAPP @t1856 (tptp.hAPP (tptp.hAPP @t1514 (tptp.hAPP @t2 (tptp.hAPP @t2321 @t1243))) @t2316))) @t1538))) % 6.71/6.98 (define @t2323 () (tptp.hBOOL (tptp.hAPP @t903 @t115))) % 6.71/6.98 (define @t2324 () (tptp.c_Finite__Set_Ofold1 @t10 @t1019)) % 6.71/6.98 (define @t2325 () (tptp.hAPP @t2324 @t21)) % 6.71/6.98 (define @t2326 () (= (tptp.hAPP @t2324 @t311) (tptp.hAPP (tptp.hAPP @t1019 @t2325) (tptp.hAPP @t2324 @t20)))) % 6.71/6.98 (define @t2327 () (tptp.hAPP @t2312 @t81)) % 6.71/6.98 (define @t2328 () (tptp.hAPP @t1536 tptp.c_Int_OMin)) % 6.71/6.98 (define @t2329 () (tptp.hAPP @t1521 tptp.c_Int_OMin)) % 6.71/6.98 (define @t2330 () (tptp.hAPP @t2312 @t1936)) % 6.71/6.98 (define @t2331 () (tptp.hAPP @t2330 @t85)) % 6.71/6.98 (define @t2332 () (tptp.hAPP @t2327 @t1935)) % 6.71/6.98 (define @t2333 () (tptp.hAPP @t2327 @t85)) % 6.71/6.98 (define @t2334 () (tptp.c_Divides_Odiv__class_Odiv @t31)) % 6.71/6.98 (define @t2335 () (tptp.hAPP @t2334 @t81)) % 6.71/6.98 (define @t2336 () (tptp.hAPP @t2312 @t30)) % 6.71/6.98 (define @t2337 () (tptp.hAPP @t2336 @t64)) % 6.71/6.98 (define @t2338 () (tptp.hAPP @t1521 @t173)) % 6.71/6.98 (define @t2339 () (tptp.hAPP @t2312 @t173)) % 6.71/6.98 (define @t2340 () (tptp.hAPP @t2339 @t248)) % 6.71/6.98 (define @t2341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2340) @t1508))) % 6.71/6.98 (define @t2342 () (tptp.hAPP @t1530 @t248)) % 6.71/6.98 (define @t2343 () (tptp.hBOOL @t2342)) % 6.71/6.98 (define @t2344 () (@list @t173 @t248)) % 6.71/6.98 (define @t2345 () (tptp.hAPP @t1521 @t248)) % 6.71/6.98 (define @t2346 () (tptp.hBOOL (tptp.hAPP @t2345 @t1508))) % 6.71/6.98 (define @t2347 () (tptp.hBOOL (tptp.hAPP @t2026 @t1508))) % 6.71/6.98 (define @t2348 () (= @t81 @t1508)) % 6.71/6.98 (define @t2349 () (not @t2348)) % 6.71/6.98 (define @t2350 () (tptp.hAPP @t2312 @t85)) % 6.71/6.98 (define @t2351 () (tptp.hAPP @t2350 @t82)) % 6.71/6.98 (define @t2352 () (tptp.hAPP @t2335 @t85)) % 6.71/6.98 (define @t2353 () (tptp.hAPP (tptp.hAPP @t2334 @t1119) @t1118)) % 6.71/6.98 (define @t2354 () (= @t82 @t960)) % 6.71/6.98 (define @t2355 () (not @t2354)) % 6.71/6.98 (define @t2356 () (=> @t2355 (= @t2353 @t2352))) % 6.71/6.98 (define @t2357 () (tptp.hAPP @t2334 @t1043)) % 6.71/6.98 (define @t2358 () (tptp.c_Finite__Set_Ofold1 @t10 @t2)) % 6.71/6.98 (define @t2359 () (tptp.hAPP @t1514 @t208)) % 6.71/6.98 (define @t2360 () (tptp.hAPP @t2358 @t21)) % 6.71/6.98 (define @t2361 () (=> @t2064 (= @t2196 @t2360))) % 6.71/6.98 (define @t2362 () (tptp.hAPP (tptp.hAPP @t2312 @t1900) @t85)) % 6.71/6.98 (define @t2363 () (tptp.hBOOL (tptp.hAPP @t2031 @t1900))) % 6.71/6.98 (define @t2364 () (@list @t85 @t1900 @t81)) % 6.71/6.98 (define @t2365 () (tptp.hAPP @t1536 @t2333)) % 6.71/6.98 (define @t2366 () (= @t2333 @t1508)) % 6.71/6.98 (define @t2367 () (tptp.hAPP @t2327 @t1638)) % 6.71/6.98 (define @t2368 () (@list @t85 @t1638 @t81)) % 6.71/6.98 (define @t2369 () (tptp.hBOOL (tptp.hAPP @t2365 @t1508))) % 6.71/6.98 (define @t2370 () (tptp.hBOOL (tptp.hAPP @t1592 @t2340))) % 6.71/6.98 (define @t2371 () (tptp.hAPP @t1536 @t248)) % 6.71/6.98 (define @t2372 () (tptp.hBOOL (tptp.hAPP @t1592 @t173))) % 6.71/6.98 (define @t2373 () (@list @t248 @t173)) % 6.71/6.98 (define @t2374 () (tptp.hAPP (tptp.hAPP @t2312 @t220) @t151)) % 6.71/6.98 (define @t2375 () (@list @t85 @t81 @t82)) % 6.71/6.98 (define @t2376 () (tptp.hAPP @t447 @t70)) % 6.71/6.98 (define @t2377 () (tptp.hAPP @t1877 tptp.c_Int_OMin)) % 6.71/6.98 (define @t2378 () (tptp.hAPP @t1041 @t70)) % 6.71/6.98 (define @t2379 () (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1651 @t2333)) @t1934)) % 6.71/6.98 (define @t2380 () (tptp.hAPP @t2040 @t208)) % 6.71/6.98 (define @t2381 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t193 @t176)) % 6.71/6.98 (define @t2382 () (tptp.hAPP @t1514 @t193)) % 6.71/6.98 (define @t2383 () (tptp.hAPP (tptp.hAPP @t2312 @t193) @t176)) % 6.71/6.98 (define @t2384 () (tptp.hAPP @t1277 @t2352)) % 6.71/6.98 (define @t2385 () (tptp.hAPP (tptp.hAPP @t1262 @t2352) @t1261)) % 6.71/6.98 (define @t2386 () (tptp.hAPP (tptp.hAPP @t1041 @t2352) @t85)) % 6.71/6.98 (define @t2387 () (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1067 @t2352)) @t1883)) % 6.71/6.98 (define @t2388 () (tptp.hAPP (tptp.hAPP @t1262 @t2386) @t1883)) % 6.71/6.98 (define @t2389 () (= (tptp.hAPP @t2324 @t634) (tptp.hAPP @t1355 @t2325))) % 6.71/6.98 (define @t2390 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 6.71/6.98 (define @t2391 () (@var "V_r_1" $$unsorted)) % 6.71/6.98 (define @t2392 () (tptp.hAPP @t1519 @t2333)) % 6.71/6.98 (define @t2393 () (tptp.hAPP (tptp.hAPP @t1514 @t2392) @t1538)) % 6.71/6.98 (define @t2394 () (not (= @t85 @t1508))) % 6.71/6.98 (define @t2395 () (tptp.hAPP @t2312 @t208)) % 6.71/6.98 (define @t2396 () (tptp.c_SMT_Oz3div @t208 @t943)) % 6.71/6.98 (define @t2397 () (tptp.hAPP @t2395 @t943)) % 6.71/6.98 (define @t2398 () (tptp.hBOOL (tptp.hAPP @t100 @t3))) % 6.71/6.98 (define @t2399 () (forall @t7 (=> @t250 @t2398))) % 6.71/6.98 (define @t2400 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t458) @t21)) % 6.71/6.98 (define @t2401 () (tptp.hAPP (tptp.hAPP @t1019 @t3) @t282)) % 6.71/6.98 (define @t2402 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 6.71/6.98 (define @t2403 () (tptp.hAPP @t2402 @t208)) % 6.71/6.98 (define @t2404 () (tptp.hAPP @t2312 @t1538)) % 6.71/6.98 (define @t2405 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2406 () (tptp.c_Power_Opower__class_Opower @t31)) % 6.71/6.98 (define @t2407 () (tptp.hAPP (tptp.hAPP @t2402 @t70) @t176)) % 6.71/6.98 (define @t2408 () (tptp.hAPP @t2406 @t64)) % 6.71/6.98 (define @t2409 () (tptp.hAPP @t2406 @t30)) % 6.71/6.98 (define @t2410 () (tptp.hAPP @t2409 @t1628)) % 6.71/6.98 (define @t2411 () (tptp.hAPP @t1041 @t2410)) % 6.71/6.98 (define @t2412 () (tptp.hAPP @t2405 @t193)) % 6.71/6.98 (define @t2413 () (tptp.hAPP @t2412 @t176)) % 6.71/6.98 (define @t2414 () (tptp.hAPP @t2405 @t176)) % 6.71/6.98 (define @t2415 () (tptp.hAPP @t2405 @t81)) % 6.71/6.98 (define @t2416 () (tptp.hAPP @t2415 @t85)) % 6.71/6.98 (define @t2417 () (@var "V_p" $$unsorted)) % 6.71/6.98 (define @t2418 () (tptp.hAPP @t1028 @t2417)) % 6.71/6.98 (define @t2419 () (tptp.hAPP @t2409 @t2417)) % 6.71/6.98 (define @t2420 () (@list @t1628 @t2417 @t30 @t31)) % 6.71/6.98 (define @t2421 () (tptp.hAPP @t2402 @t30)) % 6.71/6.98 (define @t2422 () (tptp.hAPP @t2421 @t64)) % 6.71/6.98 (define @t2423 () (tptp.hAPP @t2421 @t176)) % 6.71/6.98 (define @t2424 () (@list @t176 @t30)) % 6.71/6.98 (define @t2425 () (=> @t603 (= @t2413 @t890))) % 6.71/6.98 (define @t2426 () (tptp.hAPP (tptp.hAPP @t2405 @t1038) @t1037)) % 6.71/6.98 (define @t2427 () (= @t2426 @t2413)) % 6.71/6.98 (define @t2428 () (= @t208 @t890)) % 6.71/6.98 (define @t2429 () (tptp.hAPP @t1064 @t2410)) % 6.71/6.98 (define @t2430 () (tptp.hAPP @t2409 (tptp.hAPP tptp.c_Nat_OSuc @t1628))) % 6.71/6.98 (define @t2431 () (@list @t1628 @t30 @t31)) % 6.71/6.98 (define @t2432 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t85 @t82)) % 6.71/6.98 (define @t2433 () (tptp.hAPP (tptp.hAPP @t2405 @t85) @t82)) % 6.71/6.98 (define @t2434 () (tptp.hAPP (tptp.hAPP @t1248 @t81) @t85)) % 6.71/6.98 (define @t2435 () (tptp.c_Power_Opower__class_Opower @t10)) % 6.71/6.98 (define @t2436 () (tptp.hAPP @t2435 @t173)) % 6.71/6.98 (define @t2437 () (tptp.hAPP @t2436 @t115)) % 6.71/6.98 (define @t2438 () (@list @t115 @t173 @t10)) % 6.71/6.98 (define @t2439 () (tptp.hAPP @t2405 @t208)) % 6.71/6.98 (define @t2440 () (tptp.hBOOL (tptp.hAPP @t2171 @t176))) % 6.71/6.98 (define @t2441 () (tptp.hAPP @t1028 @t81)) % 6.71/6.98 (define @t2442 () (tptp.hAPP @t2441 @t85)) % 6.71/6.98 (define @t2443 () (tptp.hAPP (tptp.hAPP @t1028 @t2413) @t176)) % 6.71/6.98 (define @t2444 () (tptp.hAPP @t914 @t2109)) % 6.71/6.98 (define @t2445 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2405 @t915) @t176))) % 6.71/6.98 (define @t2446 () (= @t2413 @t2445)) % 6.71/6.98 (define @t2447 () (=> @t704 @t2446)) % 6.71/6.98 (define @t2448 () (tptp.hAPP tptp.c_Int_Onat @t2337)) % 6.71/6.98 (define @t2449 () (tptp.hAPP (tptp.hAPP @t2405 @t1814) @t1813)) % 6.71/6.98 (define @t2450 () (tptp.hAPP @t2406 @t2377)) % 6.71/6.98 (define @t2451 () (@list @t115 @t51)) % 6.71/6.98 (define @t2452 () (tptp.hAPP (tptp.hAPP @t2405 @t181) @t115)) % 6.71/6.98 (define @t2453 () (@var "V_q_2" $$unsorted)) % 6.71/6.98 (define @t2454 () (tptp.hAPP @t2312 @t1880)) % 6.71/6.98 (define @t2455 () (tptp.hAPP (tptp.hAPP @t2405 @t1862) @t2210)) % 6.71/6.98 (define @t2456 () (tptp.hAPP @t2406 @t85)) % 6.71/6.98 (define @t2457 () (tptp.hAPP @t2456 @t176)) % 6.71/6.98 (define @t2458 () (tptp.hAPP @t2406 @t81)) % 6.71/6.98 (define @t2459 () (tptp.hAPP @t2458 @t176)) % 6.71/6.98 (define @t2460 () (tptp.hAPP @t622 @t2459)) % 6.71/6.98 (define @t2461 () (tptp.hBOOL (tptp.hAPP @t2460 @t2457))) % 6.71/6.98 (define @t2462 () (@list @t176 @t85 @t81 @t31)) % 6.71/6.98 (define @t2463 () (tptp.hBOOL (tptp.hAPP @t1448 @t81))) % 6.71/6.98 (define @t2464 () (@list @t176 @t81 @t31)) % 6.71/6.98 (define @t2465 () (tptp.hAPP @t2435 @t248)) % 6.71/6.98 (define @t2466 () (tptp.hAPP @t2465 @t97)) % 6.71/6.98 (define @t2467 () (tptp.hAPP @t2465 @t51)) % 6.71/6.98 (define @t2468 () (tptp.hAPP @t591 @t1322)) % 6.71/6.98 (define @t2469 () (tptp.hBOOL (tptp.hAPP @t2468 @t248))) % 6.71/6.98 (define @t2470 () (@list @t97 @t51 @t248 @t10)) % 6.71/6.98 (define @t2471 () (tptp.hAPP @t2458 @t193)) % 6.71/6.98 (define @t2472 () (@list @t176 @t193 @t81 @t31)) % 6.71/6.98 (define @t2473 () (@var "V_N" $$unsorted)) % 6.71/6.98 (define @t2474 () (tptp.hAPP @t2458 @t2473)) % 6.71/6.98 (define @t2475 () (tptp.hBOOL (tptp.hAPP @t205 @t2473))) % 6.71/6.98 (define @t2476 () (@list @t81 @t2473 @t176 @t31)) % 6.71/6.98 (define @t2477 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2478 () (tptp.hAPP @t2477 @t51)) % 6.71/6.98 (define @t2479 () (tptp.hAPP @t2477 @t209)) % 6.71/6.98 (define @t2480 () (tptp.hAPP @t2479 @t176)) % 6.71/6.98 (define @t2481 () (tptp.hAPP @t2479 @t193)) % 6.71/6.98 (define @t2482 () (@list @t176 @t193 @t209)) % 6.71/6.98 (define @t2483 () (tptp.hAPP (tptp.hAPP @t2402 @t1518) @t176)) % 6.71/6.98 (define @t2484 () (tptp.hAPP (tptp.hAPP @t2477 @t193) @t176)) % 6.71/6.98 (define @t2485 () (tptp.hAPP @t1511 @t2484)) % 6.71/6.98 (define @t2486 () (tptp.hAPP @t2477 @t2417)) % 6.71/6.98 (define @t2487 () (tptp.hAPP @t2486 @t193)) % 6.71/6.98 (define @t2488 () (tptp.hAPP tptp.c_Nat_OSuc @t936)) % 6.71/6.98 (define @t2489 () (tptp.hAPP @t2477 @t2488)) % 6.71/6.98 (define @t2490 () (tptp.c_Finite__Set_Ocard @t23)) % 6.71/6.98 (define @t2491 () (tptp.hAPP @t2402 @t1880)) % 6.71/6.98 (define @t2492 () (tptp.hAPP @t2477 @t1862)) % 6.71/6.98 (define @t2493 () (tptp.hAPP @t2492 @t176)) % 6.71/6.98 (define @t2494 () (tptp.hAPP @t2477 @t890)) % 6.71/6.98 (define @t2495 () (tptp.hAPP @t2492 @t2141)) % 6.71/6.98 (define @t2496 () (tptp.hAPP @t1041 @t2459)) % 6.71/6.98 (define @t2497 () (tptp.hAPP @t1042 @t2459)) % 6.71/6.98 (define @t2498 () (tptp.hAPP @t2496 @t81)) % 6.71/6.98 (define @t2499 () (tptp.hAPP @t2406 @t1261)) % 6.71/6.98 (define @t2500 () (tptp.hAPP @t2406 @t1886)) % 6.71/6.98 (define @t2501 () (tptp.hAPP @t2500 @t176)) % 6.71/6.98 (define @t2502 () (tptp.hAPP @t1885 @t2459)) % 6.71/6.98 (define @t2503 () (tptp.hAPP @t32 @t2459)) % 6.71/6.98 (define @t2504 () (tptp.class_Power_Opower @t10)) % 6.71/6.98 (define @t2505 () (tptp.hBOOL (tptp.hAPP @t1447 @t81))) % 6.71/6.98 (define @t2506 () (tptp.hAPP @t2406 @t960)) % 6.71/6.98 (define @t2507 () (tptp.class_Power_Opower @t31)) % 6.71/6.98 (define @t2508 () (and @t2507 (tptp.class_Rings_Osemiring__0 @t31))) % 6.71/6.98 (define @t2509 () (tptp.hAPP @t2458 @t177)) % 6.71/6.98 (define @t2510 () (tptp.hAPP @t2406 @t574)) % 6.71/6.98 (define @t2511 () (tptp.hAPP @t2510 @t176)) % 6.71/6.98 (define @t2512 () (@list @t85 @t176 @t81 @t31)) % 6.71/6.98 (define @t2513 () (tptp.hAPP @t2456 @t177)) % 6.71/6.98 (define @t2514 () (tptp.hAPP @t2506 @t176)) % 6.71/6.98 (define @t2515 () (tptp.hBOOL (tptp.hAPP @t604 @t2473))) % 6.71/6.98 (define @t2516 () (tptp.hAPP @t2406 @t1456)) % 6.71/6.98 (define @t2517 () (tptp.hBOOL (tptp.hAPP @t645 @t1261))) % 6.71/6.98 (define @t2518 () (tptp.c_Nitpick_Onat__gcd @t30 @t64)) % 6.71/6.98 (define @t2519 () (tptp.hAPP @t791 @t1)) % 6.71/6.98 (define @t2520 () (tptp.hAPP @t2519 @t21)) % 6.71/6.98 (define @t2521 () (=> (not @t2148) (= @t2520 @t513))) % 6.71/6.98 (define @t2522 () (=> @t2148 (= @t2520 @t2281))) % 6.71/6.98 (define @t2523 () (tptp.c_Big__Operators_Ocomm__monoid__big @t10 @t41 @t2 @t513 @t791)) % 6.71/6.98 (define @t2524 () (@list @t1 @t21 @t791 @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t2525 () (tptp.hAPP @t536 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t786))) % 6.71/6.98 (define @t2526 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t21)) % 6.71/6.98 (define @t2527 () (@var "V_one_2" $$unsorted)) % 6.71/6.98 (define @t2528 () (@var "V_times_2" $$unsorted)) % 6.71/6.98 (define @t2529 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t10 @t2527 @t2528) @t173)) % 6.71/6.98 (define @t2530 () (tptp.hAPP @t536 @t2526)) % 6.71/6.98 (define @t2531 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t634)) % 6.71/6.98 (define @t2532 () (=> @t430 (= @t2531 @t2530))) % 6.71/6.98 (define @t2533 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t20)) % 6.71/6.98 (define @t2534 () (tptp.hAPP (tptp.hAPP @t458 @t2526) @t2533)) % 6.71/6.98 (define @t2535 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t311)) % 6.71/6.98 (define @t2536 () (= @t2535 @t2534)) % 6.71/6.98 (define @t2537 () (= @t64 @t890)) % 6.71/6.98 (define @t2538 () (tptp.hAPP (tptp.hAPP @t458 @t3) @t282)) % 6.71/6.98 (define @t2539 () (tptp.hAPP @t511 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t786))) % 6.71/6.98 (define @t2540 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t21)) % 6.71/6.98 (define @t2541 () (tptp.c_Set_Oimage @t10 @t10 @t2075)) % 6.71/6.98 (define @t2542 () (tptp.hAPP @t2541 @t1071)) % 6.71/6.98 (define @t2543 () (not (= @t1071 @t146))) % 6.71/6.98 (define @t2544 () (tptp.hBOOL (tptp.hAPP @t2063 @t1071))) % 6.71/6.98 (define @t2545 () (tptp.hAPP @t2075 @t282)) % 6.71/6.98 (define @t2546 () (tptp.hAPP @t2075 @t3)) % 6.71/6.98 (define @t2547 () (@list @t1071 @t2075 @t10)) % 6.71/6.98 (define @t2548 () (tptp.hAPP @t511 @t2540)) % 6.71/6.98 (define @t2549 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t634)) % 6.71/6.98 (define @t2550 () (=> @t430 (= @t2549 @t2548))) % 6.71/6.98 (define @t2551 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t20)) % 6.71/6.98 (define @t2552 () (tptp.hAPP (tptp.hAPP @t463 @t2540) @t2551)) % 6.71/6.98 (define @t2553 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t311)) % 6.71/6.98 (define @t2554 () (= @t2553 @t2552)) % 6.71/6.98 (define @t2555 () (tptp.hAPP (tptp.hAPP @t463 @t3) @t282)) % 6.71/6.98 (define @t2556 () (@var "B_c2" $$unsorted)) % 6.71/6.98 (define @t2557 () (@var "B_c1" $$unsorted)) % 6.71/6.98 (define @t2558 () (@var "B_c" $$unsorted)) % 6.71/6.98 (define @t2559 () (tptp.hAPP @t2240 @t1243)) % 6.71/6.98 (define @t2560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1411) tptp.c_Int_OPls))) % 6.71/6.98 (define @t2561 () (not @t2560)) % 6.71/6.98 (define @t2562 () (tptp.hAPP @t1324 @t1862)) % 6.71/6.98 (define @t2563 () (tptp.hAPP @t1536 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2564 () (tptp.hAPP @t1521 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2565 () (tptp.hAPP @t1549 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2566 () (tptp.hAPP @t1519 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2567 () (tptp.hAPP @t1877 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2568 () (tptp.hAPP @t1861 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2569 () (tptp.hAPP @t1879 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2570 () (tptp.hAPP @t1536 @t1961)) % 6.71/6.98 (define @t2571 () (tptp.hBOOL (tptp.hAPP @t2570 tptp.c_Int_OPls))) % 6.71/6.98 (define @t2572 () (= @t2236 @t890)) % 6.71/6.98 (define @t2573 () (@list @t1961)) % 6.71/6.98 (define @t2574 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1961) @t2231))) % 6.71/6.98 (define @t2575 () (tptp.hAPP @t599 @t2236)) % 6.71/6.98 (define @t2576 () (tptp.hAPP @t178 @t2236)) % 6.71/6.98 (define @t2577 () (@list @t97 @t10)) % 6.71/6.98 (define @t2578 () (tptp.hAPP @t2240 @t2210)) % 6.71/6.98 (define @t2579 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2208) tptp.c_Int_OPls))) % 6.71/6.98 (define @t2580 () (tptp.hAPP @t1861 (tptp.hAPP @t1996 @t2208))) % 6.71/6.98 (define @t2581 () (tptp.hAPP @t1028 @t1862)) % 6.71/6.98 (define @t2582 () (tptp.hAPP @t2581 @t2210)) % 6.71/6.98 (define @t2583 () (tptp.hAPP @t2581 (tptp.hAPP (tptp.hAPP @t1028 @t2210) @t208))) % 6.71/6.98 (define @t2584 () (tptp.hAPP @t1519 @t97)) % 6.71/6.98 (define @t2585 () (tptp.hAPP @t1549 @t51)) % 6.71/6.98 (define @t2586 () (tptp.hAPP @t1861 (tptp.c_Int_Opred @t1411))) % 6.71/6.98 (define @t2587 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1411) tptp.c_Int_OPls))) % 6.71/6.98 (define @t2588 () (tptp.c_Nat_Osemiring__1__class_ONats @t10)) % 6.71/6.98 (define @t2589 () (= @t513 @t925)) % 6.71/6.98 (define @t2590 () (tptp.c_Int_Opred @t208)) % 6.71/6.98 (define @t2591 () (tptp.hBOOL (tptp.hAPP @t345 @t2588))) % 6.71/6.98 (define @t2592 () (tptp.hBOOL (tptp.hAPP @t322 @t2588))) % 6.71/6.98 (define @t2593 () (tptp.hAPP @t1879 (tptp.c_Int_Opred @t1961))) % 6.71/6.98 (define @t2594 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2595 () (tptp.hAPP @t1549 @t2594)) % 6.71/6.98 (define @t2596 () (tptp.hAPP @t1519 @t2594)) % 6.71/6.98 (define @t2597 () (= @t151 @t227)) % 6.71/6.98 (define @t2598 () (tptp.c_Int_OBit1 @t227)) % 6.71/6.98 (define @t2599 () (tptp.c_Int_OBit1 @t151)) % 6.71/6.98 (define @t2600 () (tptp.hAPP @t1521 @t2599)) % 6.71/6.98 (define @t2601 () (@var "V_k2_2" $$unsorted)) % 6.71/6.98 (define @t2602 () (@var "V_k1_2" $$unsorted)) % 6.71/6.98 (define @t2603 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2602) @t2601))) % 6.71/6.98 (define @t2604 () (tptp.c_Int_OBit1 @t2601)) % 6.71/6.98 (define @t2605 () (tptp.c_Int_OBit1 @t2602)) % 6.71/6.98 (define @t2606 () (tptp.hAPP @t1521 @t2605)) % 6.71/6.98 (define @t2607 () (@list @t2601 @t2602)) % 6.71/6.98 (define @t2608 () (tptp.hAPP @t1536 @t2599)) % 6.71/6.98 (define @t2609 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2602) @t2601))) % 6.71/6.98 (define @t2610 () (tptp.hAPP @t1536 @t2605)) % 6.71/6.98 (define @t2611 () (tptp.c_Int_OBit1 @t208)) % 6.71/6.98 (define @t2612 () (tptp.c_Int_OBit1 @t943)) % 6.71/6.98 (define @t2613 () (@list @t943)) % 6.71/6.98 (define @t2614 () (@list @t227)) % 6.71/6.98 (define @t2615 () (tptp.hBOOL (tptp.hAPP @t1575 @t1508))) % 6.71/6.98 (define @t2616 () (tptp.c_Int_OBit1 @t1354)) % 6.71/6.98 (define @t2617 () (@list @t1354)) % 6.71/6.98 (define @t2618 () (tptp.hBOOL (tptp.hAPP @t2563 @t151))) % 6.71/6.98 (define @t2619 () (tptp.hBOOL (tptp.hAPP @t1604 tptp.c_Int_OPls))) % 6.71/6.98 (define @t2620 () (tptp.hBOOL (tptp.hAPP @t2114 tptp.c_Int_OMin))) % 6.71/6.98 (define @t2621 () (tptp.hBOOL (tptp.hAPP @t2329 @t151))) % 6.71/6.98 (define @t2622 () (tptp.hAPP @t1879 @t1354)) % 6.71/6.98 (define @t2623 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2622))) % 6.71/6.98 (define @t2624 () (tptp.hAPP @t1877 (tptp.c_Int_OBit1 @t1544))) % 6.71/6.98 (define @t2625 () (tptp.hAPP @t1263 @t1982)) % 6.71/6.98 (define @t2626 () (tptp.hAPP @t1877 @t2594)) % 6.71/6.98 (define @t2627 () (tptp.hAPP @t1861 @t2594)) % 6.71/6.98 (define @t2628 () (tptp.hAPP @t1514 tptp.c_Int_OMin)) % 6.71/6.98 (define @t2629 () (tptp.hAPP @t2628 @t943)) % 6.71/6.98 (define @t2630 () (tptp.c_Int_OBit1 @t2629)) % 6.71/6.98 (define @t2631 () (tptp.hAPP @t1514 tptp.c_Int_OPls)) % 6.71/6.98 (define @t2632 () (tptp.c_Int_OBit1 @t2594)) % 6.71/6.98 (define @t2633 () (tptp.hAPP @t1879 @t2632)) % 6.71/6.98 (define @t2634 () (tptp.hAPP @t1861 @t2632)) % 6.71/6.98 (define @t2635 () (tptp.hAPP @t1248 @t2634)) % 6.71/6.98 (define @t2636 () (tptp.hAPP @t2635 @t176)) % 6.71/6.98 (define @t2637 () (tptp.hAPP tptp.c_Nat_OSuc @t177)) % 6.71/6.98 (define @t2638 () (tptp.hAPP tptp.c_Nat_OSuc @t2637)) % 6.71/6.98 (define @t2639 () (tptp.hAPP @t2635 @t193)) % 6.71/6.98 (define @t2640 () (tptp.hAPP tptp.c_Nat_OSuc @t198)) % 6.71/6.98 (define @t2641 () (tptp.hAPP tptp.c_Nat_OSuc @t2640)) % 6.71/6.98 (define @t2642 () (@list @t1411 @t193)) % 6.71/6.98 (define @t2643 () (tptp.hAPP @t2405 @t2639)) % 6.71/6.98 (define @t2644 () (tptp.hAPP @t2405 @t2641)) % 6.71/6.98 (define @t2645 () (tptp.hAPP @t2119 @t1538)) % 6.71/6.98 (define @t2646 () (tptp.c_Int_OBit0 @t2594)) % 6.71/6.98 (define @t2647 () (tptp.hAPP @t1879 @t2646)) % 6.71/6.98 (define @t2648 () (tptp.hAPP @t1525 @t2647)) % 6.71/6.98 (define @t2649 () (tptp.c_Int_OBit0 @t1544)) % 6.71/6.98 (define @t2650 () (tptp.hAPP @t1879 @t2649)) % 6.71/6.98 (define @t2651 () (tptp.hAPP @t1879 (tptp.c_Int_OBit1 @t1411))) % 6.71/6.98 (define @t2652 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2651 @t2650)) % 6.71/6.98 (define @t2653 () (tptp.hBOOL (tptp.hAPP @t1592 @t2118))) % 6.71/6.98 (define @t2654 () (not @t2653)) % 6.71/6.98 (define @t2655 () (tptp.hAPP @t2648 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1880 @t2118))) % 6.71/6.98 (define @t2656 () (@list @t1411 @t1544)) % 6.71/6.98 (define @t2657 () (tptp.hAPP (tptp.hAPP @t1549 @t85) @t1538)) % 6.71/6.98 (define @t2658 () (tptp.hAPP @t2648 @t81)) % 6.71/6.98 (define @t2659 () (tptp.hAPP @t2648 @t85)) % 6.71/6.98 (define @t2660 () (tptp.hAPP @t1558 @t2659)) % 6.71/6.98 (define @t2661 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2660 @t2658)) % 6.71/6.98 (define @t2662 () (tptp.hAPP (tptp.hAPP @t2312 @t2660) @t2658)) % 6.71/6.98 (define @t2663 () (tptp.c_Int_OBit0 @t208)) % 6.71/6.98 (define @t2664 () (tptp.c_Int_OBit0 @t943)) % 6.71/6.98 (define @t2665 () (tptp.c_Int_OBit0 @t227)) % 6.71/6.98 (define @t2666 () (tptp.c_Int_OBit0 @t151)) % 6.71/6.98 (define @t2667 () (tptp.hAPP @t2359 @t943)) % 6.71/6.98 (define @t2668 () (tptp.c_Int_OBit0 @t2667)) % 6.71/6.98 (define @t2669 () (tptp.hAPP @t1514 @t2663)) % 6.71/6.98 (define @t2670 () (tptp.hAPP @t1659 @t943)) % 6.71/6.98 (define @t2671 () (tptp.hAPP @t1549 @t2663)) % 6.71/6.98 (define @t2672 () (tptp.c_Int_OBit0 (tptp.hAPP @t1616 @t943))) % 6.71/6.98 (define @t2673 () (tptp.c_Int_OBit0 @t2601)) % 6.71/6.98 (define @t2674 () (tptp.c_Int_OBit0 @t2602)) % 6.71/6.98 (define @t2675 () (tptp.hAPP @t1521 @t2674)) % 6.71/6.98 (define @t2676 () (tptp.hAPP @t1521 @t2666)) % 6.71/6.98 (define @t2677 () (tptp.hAPP @t1536 @t2674)) % 6.71/6.98 (define @t2678 () (tptp.hAPP @t1536 @t2666)) % 6.71/6.98 (define @t2679 () (tptp.c_Int_OBit0 @t1354)) % 6.71/6.98 (define @t2680 () (tptp.c_Int_OBit1 @t2670)) % 6.71/6.98 (define @t2681 () (tptp.hAPP @t1549 @t2611)) % 6.71/6.98 (define @t2682 () (tptp.hAPP @t1514 @t2611)) % 6.71/6.98 (define @t2683 () (tptp.hAPP @t2454 @t2118)) % 6.71/6.98 (define @t2684 () (tptp.hAPP @t1879 (tptp.c_Int_OBit0 @t1411))) % 6.71/6.98 (define @t2685 () (tptp.hAPP @t1877 @t2649)) % 6.71/6.98 (define @t2686 () (tptp.hAPP @t1861 @t2646)) % 6.71/6.98 (define @t2687 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t2688 () (tptp.hAPP @t1879 @t176)) % 6.71/6.98 (define @t2689 () (tptp.hAPP @t1262 @t70)) % 6.71/6.98 (define @t2690 () (tptp.hAPP @t2689 @t70)) % 6.71/6.98 (define @t2691 () (tptp.hAPP @t1877 @t2646)) % 6.71/6.98 (define @t2692 () (tptp.hAPP @t1041 @t2691)) % 6.71/6.98 (define @t2693 () (tptp.hAPP @t2436 @t2686)) % 6.71/6.98 (define @t2694 () (tptp.hAPP @t2409 @t2686)) % 6.71/6.98 (define @t2695 () (tptp.hAPP @t2458 @t2686)) % 6.71/6.98 (define @t2696 () (tptp.hAPP (tptp.hAPP @t1248 @t70) @t70)) % 6.71/6.98 (define @t2697 () (tptp.hAPP @t1028 @t2686)) % 6.71/6.98 (define @t2698 () (tptp.hAPP (tptp.hAPP @t2406 @t2459) @t2686)) % 6.71/6.98 (define @t2699 () (tptp.hAPP @t2697 @t176)) % 6.71/6.98 (define @t2700 () (tptp.hAPP @t2458 @t2699)) % 6.71/6.98 (define @t2701 () (tptp.hAPP tptp.c_Int_Onat @t2647)) % 6.71/6.98 (define @t2702 () (tptp.hAPP @t2408 @t2686)) % 6.71/6.98 (define @t2703 () (tptp.hAPP @t2435 @t51)) % 6.71/6.98 (define @t2704 () (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t2703 @t2686)) (tptp.hAPP (tptp.hAPP @t2435 @t97) @t2686))) % 6.71/6.98 (define @t2705 () (tptp.hAPP @t1888 @t1544)) % 6.71/6.98 (define @t2706 () (tptp.hAPP @t2409 @t176)) % 6.71/6.98 (define @t2707 () (tptp.hAPP (tptp.hAPP @t1041 @t2706) @t2706)) % 6.71/6.98 (define @t2708 () (@list @t176 @t30 @t31)) % 6.71/6.98 (define @t2709 () (tptp.hAPP (tptp.hAPP @t1262 @t2694) @t2702)) % 6.71/6.98 (define @t2710 () (tptp.hAPP (tptp.hAPP @t1041 (tptp.hAPP @t2692 @t30)) @t64)) % 6.71/6.98 (define @t2711 () (tptp.hAPP tptp.c_Nat_OSuc @t2699)) % 6.71/6.98 (define @t2712 () (tptp.hAPP @t2458 @t2711)) % 6.71/6.98 (define @t2713 () (tptp.hAPP (tptp.hAPP @t2312 @t2651) @t2650)) % 6.71/6.98 (define @t2714 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t181 @t2686)) % 6.71/6.98 (define @t2715 () (tptp.hAPP @t1305 @t1814)) % 6.71/6.98 (define @t2716 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2717 () (tptp.hAPP @t2716 @t2646)) % 6.71/6.98 (define @t2718 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2719 () (tptp.hAPP @t2648 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t2718 @t208) @t2717)))) % 6.71/6.98 (define @t2720 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t208)) % 6.71/6.98 (define @t2721 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2722 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t208 @t2717) @t2721)) % 6.71/6.98 (define @t2723 () (= @t208 @t2721)) % 6.71/6.98 (define @t2724 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2725 () (tptp.c_Rings_Oinverse__class_Odivide @t31)) % 6.71/6.98 (define @t2726 () (tptp.class_Fields_Olinordered__field__inverse__zero @t31)) % 6.71/6.98 (define @t2727 () (@var "V_r_2" $$unsorted)) % 6.71/6.98 (define @t2728 () (tptp.c_Rings_Oinverse__class_Odivide @t10)) % 6.71/6.98 (define @t2729 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 6.71/6.98 (define @t2730 () (@list @t2727 @t10)) % 6.71/6.98 (define @t2731 () (tptp.hAPP @t2725 @t81)) % 6.71/6.98 (define @t2732 () (tptp.class_Rings_Odivision__ring__inverse__zero @t31)) % 6.71/6.98 (define @t2733 () (tptp.class_Rings_Odivision__ring @t31)) % 6.71/6.98 (define @t2734 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2735 () (tptp.hAPP @t2725 @t574)) % 6.71/6.98 (define @t2736 () (tptp.hAPP @t2731 @t85)) % 6.71/6.98 (define @t2737 () (tptp.hAPP @t447 @t2736)) % 6.71/6.98 (define @t2738 () (tptp.hAPP (tptp.hAPP @t2725 @t85) @t82)) % 6.71/6.98 (define @t2739 () (tptp.hAPP @t2731 @t82)) % 6.71/6.98 (define @t2740 () (tptp.hAPP @t2725 @t1279)) % 6.71/6.98 (define @t2741 () (= (tptp.hAPP (tptp.hAPP @t2406 @t2736) @t176) (tptp.hAPP (tptp.hAPP @t2725 @t2459) @t2457))) % 6.71/6.98 (define @t2742 () (tptp.class_Fields_Ofield__inverse__zero @t31)) % 6.71/6.98 (define @t2743 () (= @t1135 @t248)) % 6.71/6.98 (define @t2744 () (tptp.hAPP @t2728 @t248)) % 6.71/6.98 (define @t2745 () (tptp.hAPP @t2744 @t291)) % 6.71/6.98 (define @t2746 () (= @t173 @t2745)) % 6.71/6.98 (define @t2747 () (= @t291 @t925)) % 6.71/6.98 (define @t2748 () (not @t2747)) % 6.71/6.98 (define @t2749 () (tptp.class_Rings_Odivision__ring @t10)) % 6.71/6.98 (define @t2750 () (= @t248 @t1135)) % 6.71/6.98 (define @t2751 () (= @t2745 @t173)) % 6.71/6.98 (define @t2752 () (@list @t173 @t248 @t291 @t10)) % 6.71/6.98 (define @t2753 () (tptp.hAPP (tptp.hAPP @t2728 @t173) @t248)) % 6.71/6.98 (define @t2754 () (tptp.hAPP @t2731 @t81)) % 6.71/6.98 (define @t2755 () (=> @t1047 (= @t2754 @t1261))) % 6.71/6.98 (define @t2756 () (= @t2737 (tptp.hAPP @t2731 @t578))) % 6.71/6.98 (define @t2757 () (= (tptp.hAPP @t2735 @t578) @t2736)) % 6.71/6.98 (define @t2758 () (tptp.class_Fields_Ofield @t31)) % 6.71/6.98 (define @t2759 () (tptp.hAPP @t2725 @t1261)) % 6.71/6.98 (define @t2760 () (= @t1889 @t925)) % 6.71/6.98 (define @t2761 () (=> @t2760 @t962)) % 6.71/6.98 (define @t2762 () (tptp.hAPP @t1049 @t1889)) % 6.71/6.98 (define @t2763 () (not @t2760)) % 6.71/6.98 (define @t2764 () (tptp.hAPP @t2744 @t1889)) % 6.71/6.98 (define @t2765 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 6.71/6.98 (define @t2766 () (and @t2765 @t1890)) % 6.71/6.98 (define @t2767 () (@list @t1354 @t248 @t173 @t10)) % 6.71/6.98 (define @t2768 () (=> @t2747 @t2760)) % 6.71/6.98 (define @t2769 () (tptp.hAPP (tptp.hAPP @t1019 @t1889) @t291)) % 6.71/6.98 (define @t2770 () (@list @t291 @t248 @t1354 @t10)) % 6.71/6.98 (define @t2771 () (@list @t1354 @t291 @t248 @t10)) % 6.71/6.98 (define @t2772 () (@list @t173 @t1354 @t248 @t10)) % 6.71/6.98 (define @t2773 () (tptp.hAPP @t2725 @t30)) % 6.71/6.98 (define @t2774 () (and @t2742 @t1881)) % 6.71/6.98 (define @t2775 () (and @t2758 @t1881)) % 6.71/6.98 (define @t2776 () (tptp.hBOOL (tptp.hAPP @t1963 @t925))) % 6.71/6.98 (define @t2777 () (not @t2776)) % 6.71/6.98 (define @t2778 () (tptp.hBOOL (tptp.hAPP @t616 @t2762))) % 6.71/6.98 (define @t2779 () (tptp.hBOOL (tptp.hAPP @t989 @t1889))) % 6.71/6.98 (define @t2780 () (not @t2779)) % 6.71/6.98 (define @t2781 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t2762) @t248))) % 6.71/6.98 (define @t2782 () (and @t2729 @t1890)) % 6.71/6.98 (define @t2783 () (not @t1131)) % 6.71/6.98 (define @t2784 () (tptp.hBOOL (tptp.hAPP @t616 @t2769))) % 6.71/6.98 (define @t2785 () (not @t1132)) % 6.71/6.98 (define @t2786 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t2769) @t248))) % 6.71/6.98 (define @t2787 () (tptp.hAPP @t591 @t2745)) % 6.71/6.98 (define @t2788 () (tptp.hBOOL (tptp.hAPP @t255 @t2762))) % 6.71/6.98 (define @t2789 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2762) @t248))) % 6.71/6.98 (define @t2790 () (tptp.hAPP @t99 @t1889)) % 6.71/6.98 (define @t2791 () (tptp.hBOOL (tptp.hAPP @t255 @t2769))) % 6.71/6.98 (define @t2792 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2769) @t248))) % 6.71/6.98 (define @t2793 () (tptp.hAPP @t99 @t2745)) % 6.71/6.98 (define @t2794 () (tptp.hBOOL (tptp.hAPP @t255 @t1135))) % 6.71/6.98 (define @t2795 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1135) @t248))) % 6.71/6.98 (define @t2796 () (tptp.hBOOL (tptp.hAPP @t568 @t2745))) % 6.71/6.98 (define @t2797 () (tptp.hBOOL (tptp.hAPP @t2793 @t173))) % 6.71/6.98 (define @t2798 () (@list @t173 @t291 @t248 @t10)) % 6.71/6.98 (define @t2799 () (tptp.class_Fields_Olinordered__field @t10)) % 6.71/6.98 (define @t2800 () (tptp.hAPP @t2773 @t64)) % 6.71/6.98 (define @t2801 () (= (tptp.hAPP @t1885 @t2736) (tptp.hAPP (tptp.hAPP @t2725 @t1886) @t1913))) % 6.71/6.98 (define @t2802 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2739) @t2738))) % 6.71/6.98 (define @t2803 () (tptp.class_Fields_Olinordered__field @t31)) % 6.71/6.98 (define @t2804 () (tptp.hBOOL (tptp.hAPP @t1143 @t2800))) % 6.71/6.98 (define @t2805 () (tptp.hBOOL (tptp.hAPP @t630 @t960))) % 6.71/6.98 (define @t2806 () (tptp.hBOOL (tptp.hAPP @t623 @t960))) % 6.71/6.98 (define @t2807 () (tptp.hAPP @t622 @t2800)) % 6.71/6.98 (define @t2808 () (tptp.hBOOL (tptp.hAPP @t2807 @t960))) % 6.71/6.98 (define @t2809 () (tptp.hBOOL (tptp.hAPP @t1143 @t64))) % 6.71/6.98 (define @t2810 () (tptp.hBOOL (tptp.hAPP @t989 @t248))) % 6.71/6.98 (define @t2811 () (tptp.hBOOL (tptp.hAPP @t616 @t925))) % 6.71/6.98 (define @t2812 () (=> @t2747 @t962)) % 6.71/6.98 (define @t2813 () (tptp.class_Fields_Ofield @t10)) % 6.71/6.98 (define @t2814 () (tptp.hBOOL (tptp.hAPP @t1101 @t2800))) % 6.71/6.98 (define @t2815 () (tptp.hBOOL (tptp.hAPP @t33 @t960))) % 6.71/6.98 (define @t2816 () (tptp.hAPP @t32 @t2800)) % 6.71/6.98 (define @t2817 () (tptp.hBOOL (tptp.hAPP @t2816 @t960))) % 6.71/6.98 (define @t2818 () (tptp.hAPP @t2725 @t64)) % 6.71/6.98 (define @t2819 () (tptp.hAPP @t2818 @t1544)) % 6.71/6.98 (define @t2820 () (tptp.hAPP @t2773 @t70)) % 6.71/6.98 (define @t2821 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1544) @t70))) % 6.71/6.98 (define @t2822 () (tptp.hBOOL (tptp.hAPP @t1143 @t1544))) % 6.71/6.98 (define @t2823 () (@list @t70 @t1544 @t64 @t30 @t31)) % 6.71/6.98 (define @t2824 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2820) @t2819))) % 6.71/6.98 (define @t2825 () (tptp.hBOOL (tptp.hAPP @t616 @t1135))) % 6.71/6.98 (define @t2826 () (tptp.hBOOL (tptp.hAPP @t1136 @t248))) % 6.71/6.98 (define @t2827 () (tptp.hBOOL (tptp.hAPP @t696 @t2745))) % 6.71/6.98 (define @t2828 () (tptp.hBOOL (tptp.hAPP @t2787 @t173))) % 6.71/6.98 (define @t2829 () (tptp.hAPP @t2378 @t64)) % 6.71/6.98 (define @t2830 () (tptp.hAPP @t2725 @t82)) % 6.71/6.98 (define @t2831 () (tptp.hAPP @t2830 @t85)) % 6.71/6.98 (define @t2832 () (tptp.hAPP @t2830 @t81)) % 6.71/6.98 (define @t2833 () (=> @t1144 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2832) @t2831)))) % 6.71/6.98 (define @t2834 () (tptp.hAPP @t1478 @t70)) % 6.71/6.98 (define @t2835 () (tptp.hAPP (tptp.hAPP @t1041 @t1544) @t64)) % 6.71/6.98 (define @t2836 () (tptp.hAPP (tptp.hAPP @t2725 @t1544) @t70)) % 6.71/6.98 (define @t2837 () (tptp.hAPP @t1262 @t2800)) % 6.71/6.98 (define @t2838 () (not (= @t70 @t960))) % 6.71/6.98 (define @t2839 () (not (= @t64 @t960))) % 6.71/6.98 (define @t2840 () (@list @t1544 @t30 @t70 @t64 @t31)) % 6.71/6.98 (define @t2841 () (tptp.hAPP @t2725 (tptp.hAPP @t1450 @t2829))) % 6.71/6.98 (define @t2842 () (@list @t64 @t30 @t70 @t31)) % 6.71/6.98 (define @t2843 () (tptp.hAPP @t2841 @t64)) % 6.71/6.98 (define @t2844 () (tptp.hAPP @t2378 @t30)) % 6.71/6.98 (define @t2845 () (tptp.hAPP @t2818 @t70)) % 6.71/6.98 (define @t2846 () (tptp.hAPP @t2740 @t1264)) % 6.71/6.98 (define @t2847 () (=> @t1144 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2832) @t2831)))) % 6.71/6.98 (define @t2848 () (tptp.hAPP @t2734 @t209)) % 6.71/6.98 (define @t2849 () (tptp.c_Code__Numeral_Onat__of__aux @t209 @t176)) % 6.71/6.98 (define @t2850 () (= @t209 @t2721)) % 6.71/6.98 (define @t2851 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2852 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t41)) % 6.71/6.98 (define @t2853 () (tptp.hAPP @t2852 @t2)) % 6.71/6.98 (define @t2854 () (tptp.hAPP @t2853 @t21)) % 6.71/6.98 (define @t2855 () (tptp.hAPP @t2853 @t870)) % 6.71/6.98 (define @t2856 () (tptp.c_Rings_Oinverse__class_Odivide @t41)) % 6.71/6.98 (define @t2857 () (tptp.hAPP @t2856 @t2854)) % 6.71/6.98 (define @t2858 () (tptp.c_Groups_Ozero__class_Ozero @t41)) % 6.71/6.98 (define @t2859 () (tptp.class_Fields_Ofield @t41)) % 6.71/6.98 (define @t2860 () (= @t5 @t2858)) % 6.71/6.98 (define @t2861 () (exists @t7 (and @t250 @t2860))) % 6.71/6.98 (define @t2862 () (= @t2854 @t2858)) % 6.71/6.98 (define @t2863 () (tptp.class_Rings_Ocomm__semiring__1 @t41)) % 6.71/6.98 (define @t2864 () (@list @t2 @t21 @t10 @t41)) % 6.71/6.98 (define @t2865 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t41 @t10)) % 6.71/6.98 (define @t2866 () (tptp.hAPP @t2865 @t2)) % 6.71/6.98 (define @t2867 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 6.71/6.98 (define @t2868 () (tptp.hAPP @t2865 @t1)) % 6.71/6.98 (define @t2869 () (@list @t1 @t41 @t10)) % 6.71/6.98 (define @t2870 () (tptp.hAPP @t2852 @t1)) % 6.71/6.98 (define @t2871 () (tptp.hAPP @t2870 @t21)) % 6.71/6.98 (define @t2872 () (=> @t2146 (= @t2871 @t2268))) % 6.71/6.98 (define @t2873 () (@list @t1 @t21 @t10 @t41)) % 6.71/6.98 (define @t2874 () (= @t5 @t1243)) % 6.71/6.98 (define @t2875 () (tptp.hBOOL (tptp.hAPP @t170 @t791))) % 6.71/6.98 (define @t2876 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2877 () (tptp.hAPP @t2876 @t2)) % 6.71/6.98 (define @t2878 () (@list @t2 @t791 @t10)) % 6.71/6.98 (define @t2879 () (tptp.hBOOL (tptp.hAPP @t910 @t5))) % 6.71/6.98 (define @t2880 () (forall @t7 (=> @t729 @t2879))) % 6.71/6.98 (define @t2881 () (tptp.hBOOL (tptp.hAPP @t910 (tptp.hAPP @t2877 @t728)))) % 6.71/6.98 (define @t2882 () (@list @t2 @t728 @t10)) % 6.71/6.98 (define @t2883 () (tptp.hAPP @t2269 @t52)) % 6.71/6.98 (define @t2884 () (tptp.hAPP @t2870 @t634)) % 6.71/6.98 (define @t2885 () (@list @t1 @t51 @t21 @t10 @t41)) % 6.71/6.98 (define @t2886 () (@list @t2 @t173 @t21 @t10 @t41)) % 6.71/6.98 (define @t2887 () (tptp.hAPP @t2269 @t2871)) % 6.71/6.98 (define @t2888 () (tptp.hAPP @t2887 (tptp.hAPP @t2870 @t20))) % 6.71/6.98 (define @t2889 () (tptp.hAPP @t2870 @t311)) % 6.71/6.98 (define @t2890 () (=> @t2064 (= @t2871 @t2273))) % 6.71/6.98 (define @t2891 () (tptp.hAPP @t2883 (tptp.hAPP @t2870 @t786))) % 6.71/6.98 (define @t2892 () (@list @t51 @t1 @t21 @t10 @t41)) % 6.71/6.98 (define @t2893 () (= @t2889 @t2888)) % 6.71/6.98 (define @t2894 () (tptp.hAPP @t2853 @t20)) % 6.71/6.98 (define @t2895 () (@var "V_code__numeral" $$unsorted)) % 6.71/6.98 (define @t2896 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2895)) % 6.71/6.98 (define @t2897 () (@list @t2895)) % 6.71/6.98 (define @t2898 () (@var "V_code__numeral_H_2" $$unsorted)) % 6.71/6.98 (define @t2899 () (@var "V_code__numeral_2" $$unsorted)) % 6.71/6.98 (define @t2900 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2899)) % 6.71/6.98 (define @t2901 () (@var "V_code__numeral_H_1" $$unsorted)) % 6.71/6.98 (define @t2902 () (@var "V_code__numeral_H" $$unsorted)) % 6.71/6.98 (define @t2903 () (tptp.hAPP @t2853 @t2290)) % 6.71/6.98 (define @t2904 () (tptp.hAPP @t2853 @t728)) % 6.71/6.98 (define @t2905 () (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP (tptp.hAPP @t784 @t2290) @t728)))) % 6.71/6.98 (define @t2906 () (forall @t7 (=> @t2905 @t2294))) % 6.71/6.98 (define @t2907 () (tptp.hAPP @t24 @t728)) % 6.71/6.98 (define @t2908 () (tptp.hBOOL (tptp.hAPP @t2907 @t2290))) % 6.71/6.98 (define @t2909 () (@list @t2 @t728 @t2290 @t10 @t41)) % 6.71/6.98 (define @t2910 () (@var "B_z" $$unsorted)) % 6.71/6.98 (define @t2911 () (@list @t2910)) % 6.71/6.98 (define @t2912 () (tptp.hAPP @t285 @t2899)) % 6.71/6.98 (define @t2913 () (@list @t2899 @t285 @t287 @t10)) % 6.71/6.98 (define @t2914 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t41)) % 6.71/6.98 (define @t2915 () (tptp.hAPP @t2914 @t2)) % 6.71/6.98 (define @t2916 () (tptp.hAPP @t2915 @t21)) % 6.71/6.98 (define @t2917 () (tptp.hAPP @t2915 @t870)) % 6.71/6.98 (define @t2918 () (tptp.c_Groups_Ominus__class_Ominus @t41)) % 6.71/6.98 (define @t2919 () (tptp.hAPP @t2918 @t2916)) % 6.71/6.98 (define @t2920 () (=> @t344 (= @t2917 (tptp.hAPP @t2919 @t829)))) % 6.71/6.98 (define @t2921 () (tptp.class_Groups_Oab__group__add @t41)) % 6.71/6.98 (define @t2922 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t41 @t10)) % 6.71/6.98 (define @t2923 () (tptp.hAPP @t2922 @t2)) % 6.71/6.98 (define @t2924 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 6.71/6.98 (define @t2925 () (tptp.hAPP @t2922 @t1)) % 6.71/6.98 (define @t2926 () (tptp.hAPP @t2914 @t1)) % 6.71/6.98 (define @t2927 () (tptp.hAPP @t2926 @t21)) % 6.71/6.98 (define @t2928 () (=> @t2146 (= @t2927 @t2858))) % 6.71/6.98 (define @t2929 () (tptp.class_Groups_Ocomm__monoid__add @t41)) % 6.71/6.98 (define @t2930 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2931 () (tptp.hAPP @t2930 @t2)) % 6.71/6.98 (define @t2932 () (forall @t412 (=> @t1052 (=> @t410 (= @t1051 @t890))))) % 6.71/6.98 (define @t2933 () (tptp.hAPP @t2931 @t21)) % 6.71/6.98 (define @t2934 () (@var "V_p_2" $$unsorted)) % 6.71/6.98 (define @t2935 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t10)) % 6.71/6.98 (define @t2936 () (tptp.hAPP @t2935 @t2)) % 6.71/6.98 (define @t2937 () (tptp.hAPP @t2936 (tptp.hAPP @t759 @t2934))) % 6.71/6.98 (define @t2938 () (tptp.hAPP @t2936 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t115) @t2934))) % 6.71/6.98 (define @t2939 () (tptp.hAPP @t2936 @t780)) % 6.71/6.98 (define @t2940 () (tptp.hAPP @t1313 @t2939)) % 6.71/6.98 (define @t2941 () (tptp.hBOOL (tptp.hAPP @t189 @t2934))) % 6.71/6.98 (define @t2942 () (@list @t2 @t2934 @t115 @t181 @t10)) % 6.71/6.98 (define @t2943 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t2944 () (tptp.hAPP @t2943 @t2)) % 6.71/6.98 (define @t2945 () (tptp.c_Groups_Oplus__class_Oplus @t41)) % 6.71/6.98 (define @t2946 () (tptp.hAPP @t2945 @t52)) % 6.71/6.98 (define @t2947 () (tptp.hAPP @t2926 @t634)) % 6.71/6.98 (define @t2948 () (tptp.hAPP @t2945 @t829)) % 6.71/6.98 (define @t2949 () (tptp.hAPP @t2945 @t2927)) % 6.71/6.98 (define @t2950 () (tptp.hAPP @t2949 (tptp.hAPP @t2926 @t20))) % 6.71/6.98 (define @t2951 () (tptp.hAPP @t2926 @t311)) % 6.71/6.98 (define @t2952 () (tptp.hAPP @t2915 @t20)) % 6.71/6.98 (define @t2953 () (=> @t2064 (= @t2927 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t41 @t10 @t2945) @t1) @t2858) @t21)))) % 6.71/6.98 (define @t2954 () (tptp.hAPP @t2931 @t20)) % 6.71/6.98 (define @t2955 () (tptp.hAPP @t911 @t2933)) % 6.71/6.98 (define @t2956 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t191)) % 6.71/6.98 (define @t2957 () (tptp.hAPP @t2 @t181)) % 6.71/6.98 (define @t2958 () (tptp.hAPP @t1313 @t2957)) % 6.71/6.98 (define @t2959 () (@list @t2 @t115 @t181 @t10)) % 6.71/6.98 (define @t2960 () (tptp.hAPP @t2936 @t666)) % 6.71/6.98 (define @t2961 () (tptp.hAPP @t2946 (tptp.hAPP @t2926 @t786))) % 6.71/6.98 (define @t2962 () (= @t2951 @t2950)) % 6.71/6.98 (define @t2963 () (tptp.hAPP @t2915 @t320)) % 6.71/6.98 (define @t2964 () (tptp.hAPP @t2931 @t870)) % 6.71/6.98 (define @t2965 () (tptp.hAPP @t2936 @t779)) % 6.71/6.98 (define @t2966 () (@list @t2 @t181 @t115 @t10)) % 6.71/6.98 (define @t2967 () (tptp.hAPP @t2 @t116)) % 6.71/6.98 (define @t2968 () (tptp.hAPP @t1313 @t2960)) % 6.71/6.98 (define @t2969 () (tptp.hAPP @t2936 @t668)) % 6.71/6.98 (define @t2970 () (tptp.hAPP @t599 @t116)) % 6.71/6.98 (define @t2971 () (tptp.hBOOL (tptp.hAPP @t2970 @t181))) % 6.71/6.98 (define @t2972 () (tptp.hAPP @t1287 @t2934)) % 6.71/6.98 (define @t2973 () (tptp.hAPP @t1287 @t1243)) % 6.71/6.98 (define @t2974 () (tptp.hAPP @t42 @t2916)) % 6.71/6.98 (define @t2975 () (tptp.hBOOL (tptp.hAPP @t2974 @t2952))) % 6.71/6.98 (define @t2976 () (tptp.hAPP @t42 @t2858)) % 6.71/6.98 (define @t2977 () (@list @t2 @t21 @t20 @t10 @t41)) % 6.71/6.98 (define @t2978 () (@var "V_K_2" $$unsorted)) % 6.71/6.98 (define @t2979 () (tptp.hAPP @t169 @t898)) % 6.71/6.98 (define @t2980 () (tptp.class_Groups_Oordered__ab__semigroup__add @t41)) % 6.71/6.98 (define @t2981 () (tptp.hAPP @t2915 @t2290)) % 6.71/6.98 (define @t2982 () (tptp.hAPP @t2915 @t728)) % 6.71/6.98 (define @t2983 () (tptp.hBOOL (tptp.hAPP @t2976 @t5))) % 6.71/6.98 (define @t2984 () (forall @t7 (=> @t2905 @t2860))) % 6.71/6.98 (define @t2985 () (@list @t1 @t2 @t21 @t10 @t41)) % 6.71/6.98 (define @t2986 () (@list @t2 @t728 @t10 @t41)) % 6.71/6.98 (define @t2987 () (tptp.hAPP @t2270 @t2075)) % 6.71/6.98 (define @t2988 () (= @t4 @t2546)) % 6.71/6.98 (define @t2989 () (@var "T_d" $$unsorted)) % 6.71/6.98 (define @t2990 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t2989)) % 6.71/6.98 (define @t2991 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t41 @t2989)) % 6.71/6.98 (define @t2992 () (tptp.hAPP @t2991 @t2075)) % 6.71/6.98 (define @t2993 () (@list @t1231)) % 6.71/6.98 (define @t2994 () (= @t20 @t819)) % 6.71/6.98 (define @t2995 () (tptp.class_Groups_Ocomm__monoid__add @t2989)) % 6.71/6.98 (define @t2996 () (@list @t2075 @t1 @t20 @t21 @t2 @t41 @t10 @t2989)) % 6.71/6.98 (define @t2997 () (tptp.hBOOL (tptp.hAPP @t184 @t898))) % 6.71/6.98 (define @t2998 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t2999 () (tptp.c_Random_Olog @t85 @t209)) % 6.71/6.98 (define @t3000 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t3001 () (tptp.hAPP @t3000 @t209)) % 6.71/6.98 (define @t3002 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t3003 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3002 @t85) @t2724)) (tptp.hBOOL (tptp.hAPP @t3001 @t85)))) % 6.71/6.98 (define @t3004 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t10 @t41 @t2 @t513 @t1 @t791)) % 6.71/6.98 (define @t3005 () (tptp.c_Random_Ominus__shift @t1436 @t208 @t943)) % 6.71/6.98 (define @t3006 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3000 @t208) @t943))) % 6.71/6.98 (define @t3007 () (not @t3006)) % 6.71/6.98 (define @t3008 () (tptp.c_Random_Oinc__shift @t1411 @t208)) % 6.71/6.98 (define @t3009 () (= @t1411 @t208)) % 6.71/6.98 (define @t3010 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t458)) % 6.71/6.98 (define @t3011 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t463)) % 6.71/6.98 (define @t3012 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t41 @t10 @t2) @t513)) % 6.71/6.98 (define @t3013 () (tptp.hAPP @t3011 @t248)) % 6.71/6.98 (define @t3014 () (tptp.hAPP @t3013 @t21)) % 6.71/6.98 (define @t3015 () (@list @t173 @t248 @t21 @t10)) % 6.71/6.98 (define @t3016 () (tptp.hAPP @t3010 @t248)) % 6.71/6.98 (define @t3017 () (tptp.hAPP @t3016 @t21)) % 6.71/6.98 (define @t3018 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2)) % 6.71/6.98 (define @t3019 () (@list @t248 @t173 @t21 @t10)) % 6.71/6.98 (define @t3020 () (= (tptp.hAPP @t2324 @t675) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t10 @t1019) @t173) @t21))) % 6.71/6.98 (define @t3021 () (tptp.c_Finite__Set_Ofold @t10 @t41 @t2)) % 6.71/6.98 (define @t3022 () (tptp.hAPP @t3021 @t513)) % 6.71/6.98 (define @t3023 () (tptp.hAPP @t53 (tptp.hAPP @t3022 @t786))) % 6.71/6.98 (define @t3024 () (tptp.hAPP @t3022 @t21)) % 6.71/6.98 (define @t3025 () (tptp.c_Finite__Set_Ofun__left__comm @t10 @t41 @t2)) % 6.71/6.98 (define @t3026 () (@list @t513 @t51 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t3027 () (tptp.hAPP @t3022 @t634)) % 6.71/6.98 (define @t3028 () (@list @t51 @t513 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t3029 () (tptp.hAPP @t53 @t3024)) % 6.71/6.98 (define @t3030 () (= @t3027 @t3029)) % 6.71/6.98 (define @t3031 () (tptp.hAPP @t53 @t513)) % 6.71/6.98 (define @t3032 () (tptp.hAPP (tptp.hAPP @t3021 @t3031) @t21)) % 6.71/6.98 (define @t3033 () (= @t3027 @t3032)) % 6.71/6.98 (define @t3034 () (@var "B_y_H" $$unsorted)) % 6.71/6.98 (define @t3035 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t41 @t2)) % 6.71/6.98 (define @t3036 () (@list @t291 @t248 @t21 @t10)) % 6.71/6.98 (define @t3037 () (tptp.hAPP @t732 @t2858)) % 6.71/6.98 (define @t3038 () (tptp.class_Rings_Olinordered__semidom @t41)) % 6.71/6.98 (define @t3039 () (tptp.c_Orderings_Oord__class_Omin @t10)) % 6.71/6.98 (define @t3040 () (tptp.c_Finite__Set_Ofold1 @t10 @t3039)) % 6.71/6.98 (define @t3041 () (tptp.hAPP @t3040 @t21)) % 6.71/6.98 (define @t3042 () (@var "B_e" $$unsorted)) % 6.71/6.98 (define @t3043 () (tptp.hAPP @t1450 @t70)) % 6.71/6.98 (define @t3044 () (tptp.c_Orderings_Oord__class_Omin @t31)) % 6.71/6.98 (define @t3045 () (tptp.hAPP @t3044 @t30)) % 6.71/6.98 (define @t3046 () (tptp.hAPP @t3045 @t64)) % 6.71/6.98 (define @t3047 () (tptp.hAPP @t3044 @t81)) % 6.71/6.98 (define @t3048 () (tptp.hAPP @t3047 @t85)) % 6.71/6.98 (define @t3049 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t3048) @t30))) % 6.71/6.98 (define @t3050 () (tptp.hBOOL (tptp.hAPP @t624 @t513))) % 6.71/6.98 (define @t3051 () (tptp.hBOOL (tptp.hAPP @t626 @t513))) % 6.71/6.98 (define @t3052 () (tptp.hAPP @t3039 @t51)) % 6.71/6.98 (define @t3053 () (tptp.hAPP @t3052 @t97)) % 6.71/6.98 (define @t3054 () (tptp.hAPP @t591 @t513)) % 6.71/6.98 (define @t3055 () (tptp.hBOOL (tptp.hAPP @t3054 @t97))) % 6.71/6.98 (define @t3056 () (tptp.hBOOL (tptp.hAPP @t3054 @t51))) % 6.71/6.98 (define @t3057 () (@list @t97 @t51 @t513 @t10)) % 6.71/6.98 (define @t3058 () (tptp.hBOOL (tptp.hAPP @t33 @t3048))) % 6.71/6.98 (define @t3059 () (tptp.hAPP @t32 @t3048)) % 6.71/6.98 (define @t3060 () (tptp.hAPP @t3044 @t64)) % 6.71/6.98 (define @t3061 () (tptp.hAPP @t3060 @t70)) % 6.71/6.98 (define @t3062 () (tptp.hBOOL (tptp.hAPP @t3059 @t30))) % 6.71/6.98 (define @t3063 () (tptp.hAPP @t32 @t3046)) % 6.71/6.98 (define @t3064 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3065 () (tptp.hAPP @t3064 @t176)) % 6.71/6.98 (define @t3066 () (tptp.class_Orderings_Olinorder @t41)) % 6.71/6.98 (define @t3067 () (and @t3066 @t120)) % 6.71/6.98 (define @t3068 () (@list @t115 @t181 @t2 @t10 @t41)) % 6.71/6.98 (define @t3069 () (tptp.hAPP @t3045 @t3061)) % 6.71/6.98 (define @t3070 () (tptp.hAPP @t3044 @t85)) % 6.71/6.98 (define @t3071 () (tptp.hAPP @t3047 (tptp.hAPP @t3070 @t82))) % 6.71/6.98 (define @t3072 () (tptp.hAPP @t3045 @t70)) % 6.71/6.98 (define @t3073 () (tptp.hAPP @t3060 @t30)) % 6.71/6.98 (define @t3074 () (tptp.hAPP (tptp.hAPP @t3064 @t193) @t176)) % 6.71/6.98 (define @t3075 () (tptp.hAPP (tptp.hAPP @t840 @t64) @t70)) % 6.71/6.98 (define @t3076 () (tptp.hAPP @t861 @t70)) % 6.71/6.98 (define @t3077 () (tptp.hAPP @t1888 @t1407)) % 6.71/6.98 (define @t3078 () (tptp.hAPP (tptp.hAPP @t3039 @t3077) @t1965)) % 6.71/6.98 (define @t3079 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3077) @t1965))) % 6.71/6.98 (define @t3080 () (not @t3079)) % 6.71/6.98 (define @t3081 () (and @t1890 @t440)) % 6.71/6.98 (define @t3082 () (@list @t1411 @t1407 @t10)) % 6.71/6.98 (define @t3083 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t3039)) % 6.71/6.98 (define @t3084 () (tptp.hAPP @t3083 @t248)) % 6.71/6.98 (define @t3085 () (tptp.hAPP @t3084 @t21)) % 6.71/6.98 (define @t3086 () (tptp.hAPP @t3039 @t173)) % 6.71/6.98 (define @t3087 () (tptp.hAPP @t3039 @t248)) % 6.71/6.98 (define @t3088 () (tptp.hAPP @t3087 @t289)) % 6.71/6.98 (define @t3089 () (tptp.hAPP @t264 @t620)) % 6.71/6.98 (define @t3090 () (tptp.hAPP @t99 @t3041)) % 6.71/6.98 (define @t3091 () (tptp.hAPP (tptp.hAPP @t2734 @t176) @t193)) % 6.71/6.98 (define @t3092 () (tptp.hAPP @t3052 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t786))) % 6.71/6.98 (define @t3093 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t21)) % 6.71/6.98 (define @t3094 () (= @t3093 @t51)) % 6.71/6.98 (define @t3095 () (tptp.hAPP @t3052 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t786))) % 6.71/6.98 (define @t3096 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t21)) % 6.71/6.98 (define @t3097 () (tptp.hAPP (tptp.hAPP @t3083 @t51) @t21)) % 6.71/6.98 (define @t3098 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t634)) % 6.71/6.98 (define @t3099 () (tptp.hAPP @t3052 @t3096)) % 6.71/6.98 (define @t3100 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3093) @t21))) % 6.71/6.98 (define @t3101 () (tptp.hAPP @t3052 @t3093)) % 6.71/6.98 (define @t3102 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t634)) % 6.71/6.98 (define @t3103 () (=> @t430 (= @t3102 @t3099))) % 6.71/6.98 (define @t3104 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t20)) % 6.71/6.98 (define @t3105 () (tptp.hAPP (tptp.hAPP @t3039 @t3096) @t3104)) % 6.71/6.98 (define @t3106 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t311)) % 6.71/6.98 (define @t3107 () (= @t3106 @t3105)) % 6.71/6.98 (define @t3108 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t1071)) % 6.71/6.98 (define @t3109 () (not (= @t2083 @t146))) % 6.71/6.98 (define @t3110 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t2083) @t1071))) % 6.71/6.98 (define @t3111 () (@list @t1071 @t2083 @t10)) % 6.71/6.98 (define @t3112 () (tptp.hAPP (tptp.hAPP @t3083 @t173) @t21)) % 6.71/6.98 (define @t3113 () (=> @t430 (= @t3098 @t3101))) % 6.71/6.98 (define @t3114 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t20)) % 6.71/6.98 (define @t3115 () (tptp.hAPP (tptp.hAPP @t3039 @t3093) @t3114)) % 6.71/6.98 (define @t3116 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t311)) % 6.71/6.98 (define @t3117 () (= @t3116 @t3115)) % 6.71/6.98 (define @t3118 () (tptp.hAPP (tptp.hAPP @t3039 @t3) @t282)) % 6.71/6.98 (define @t3119 () (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3118) @t2265)))) % 6.71/6.98 (define @t3120 () (forall @t284 (= (tptp.hAPP @t2075 @t3118) (tptp.hAPP (tptp.hAPP @t3039 @t2546) @t2545)))) % 6.71/6.98 (define @t3121 () (tptp.hAPP @t865 @t728)) % 6.71/6.98 (define @t3122 () (not (= @t728 @t146))) % 6.71/6.98 (define @t3123 () (@list @t728 @t10)) % 6.71/6.98 (define @t3124 () (tptp.hAPP @t169 @t282)) % 6.71/6.98 (define @t3125 () (tptp.hBOOL (tptp.hAPP @t3124 @t21))) % 6.71/6.98 (define @t3126 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t21)) % 6.71/6.98 (define @t3127 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3126) @t21))) % 6.71/6.98 (define @t3128 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t1071)) % 6.71/6.98 (define @t3129 () (tptp.c_Orderings_Oord__class_Omax @t10)) % 6.71/6.98 (define @t3130 () (tptp.hAPP @t3129 @t51)) % 6.71/6.98 (define @t3131 () (tptp.hAPP @t3130 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t786))) % 6.71/6.98 (define @t3132 () (= @t3126 @t51)) % 6.71/6.98 (define @t3133 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t3129)) % 6.71/6.98 (define @t3134 () (tptp.hAPP (tptp.hAPP @t3133 @t51) @t21)) % 6.71/6.98 (define @t3135 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t634)) % 6.71/6.98 (define @t3136 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t20)) % 6.71/6.98 (define @t3137 () (tptp.hAPP (tptp.hAPP @t3129 @t3126) @t3136)) % 6.71/6.98 (define @t3138 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t311)) % 6.71/6.98 (define @t3139 () (tptp.c_Orderings_Oord__class_Omax @t31)) % 6.71/6.98 (define @t3140 () (tptp.hAPP @t3139 @t64)) % 6.71/6.98 (define @t3141 () (tptp.hAPP @t3140 @t70)) % 6.71/6.98 (define @t3142 () (tptp.hAPP @t3140 @t30)) % 6.71/6.98 (define @t3143 () (tptp.hAPP (tptp.hAPP @t3139 @t3046) @t3072)) % 6.71/6.98 (define @t3144 () (tptp.hAPP @t3045 @t3141)) % 6.71/6.98 (define @t3145 () (tptp.hAPP @t3139 @t30)) % 6.71/6.98 (define @t3146 () (tptp.hAPP @t3145 @t70)) % 6.71/6.98 (define @t3147 () (tptp.hAPP @t3145 @t64)) % 6.71/6.98 (define @t3148 () (tptp.hAPP (tptp.hAPP @t3044 @t3147) @t3146)) % 6.71/6.98 (define @t3149 () (tptp.hAPP @t3145 @t3061)) % 6.71/6.98 (define @t3150 () (tptp.hAPP @t3139 @t81)) % 6.71/6.98 (define @t3151 () (tptp.hAPP @t3150 @t85)) % 6.71/6.98 (define @t3152 () (tptp.hBOOL (tptp.hAPP @t623 @t3151))) % 6.71/6.98 (define @t3153 () (tptp.hAPP @t3130 @t97)) % 6.71/6.98 (define @t3154 () (tptp.hAPP @t32 @t3151)) % 6.71/6.98 (define @t3155 () (tptp.hBOOL (tptp.hAPP @t3154 @t30))) % 6.71/6.98 (define @t3156 () (tptp.hBOOL (tptp.hAPP @t33 @t3151))) % 6.71/6.98 (define @t3157 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3158 () (tptp.hAPP @t3157 @t176)) % 6.71/6.98 (define @t3159 () (tptp.hAPP @t3145 @t3141)) % 6.71/6.98 (define @t3160 () (tptp.hAPP @t3139 @t85)) % 6.71/6.98 (define @t3161 () (tptp.hAPP @t3150 (tptp.hAPP @t3160 @t82))) % 6.71/6.98 (define @t3162 () (tptp.hAPP (tptp.hAPP @t3129 @t3077) @t1965)) % 6.71/6.98 (define @t3163 () (tptp.class_Groups_Olinordered__ab__group__add @t31)) % 6.71/6.98 (define @t3164 () (tptp.hAPP @t3133 @t248)) % 6.71/6.98 (define @t3165 () (tptp.hAPP @t3164 @t21)) % 6.71/6.98 (define @t3166 () (tptp.hAPP @t3129 @t173)) % 6.71/6.98 (define @t3167 () (tptp.hAPP @t3130 @t3126)) % 6.71/6.98 (define @t3168 () (tptp.hAPP @t3166 @t291)) % 6.71/6.98 (define @t3169 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t3129) @t21)) % 6.71/6.98 (define @t3170 () (=> @t430 (= @t3135 @t3167))) % 6.71/6.98 (define @t3171 () (= @t3138 @t3137)) % 6.71/6.98 (define @t3172 () (tptp.hAPP (tptp.hAPP @t3133 @t173) @t21)) % 6.71/6.98 (define @t3173 () (tptp.hAPP (tptp.hAPP @t3129 @t3) @t282)) % 6.71/6.98 (define @t3174 () (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3173) @t2265)))) % 6.71/6.98 (define @t3175 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t21)) % 6.71/6.98 (define @t3176 () (tptp.hAPP @t3130 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t786))) % 6.71/6.98 (define @t3177 () (tptp.hAPP @t3130 @t3175)) % 6.71/6.98 (define @t3178 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t634)) % 6.71/6.98 (define @t3179 () (=> @t430 (= @t3178 @t3177))) % 6.71/6.98 (define @t3180 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t20)) % 6.71/6.98 (define @t3181 () (tptp.hAPP (tptp.hAPP @t3129 @t3175) @t3180)) % 6.71/6.98 (define @t3182 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t311)) % 6.71/6.98 (define @t3183 () (= @t3182 @t3181)) % 6.71/6.98 (define @t3184 () (forall @t284 (= (tptp.hAPP @t2075 @t3173) (tptp.hAPP (tptp.hAPP @t3129 @t2546) @t2545)))) % 6.71/6.98 (define @t3185 () (@var "V_fb_2" $$unsorted)) % 6.71/6.98 (define @t3186 () (@var "V_fa_2" $$unsorted)) % 6.71/6.98 (define @t3187 () (tptp.hAPP @t1248 (tptp.hAPP @t3186 @t173))) % 6.71/6.98 (define @t3188 () (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t41 @t173 @t248)) % 6.71/6.98 (define @t3189 () (tptp.hAPP @t912 @t1243)) % 6.71/6.98 (define @t3190 () (tptp.hAPP @t1549 @t173)) % 6.71/6.98 (define @t3191 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3192 () (@list @t115 @t289 @t173)) % 6.71/6.98 (define @t3193 () (tptp.hAPP @t2648 @t2118)) % 6.71/6.98 (define @t3194 () (tptp.c_Divides_Oadjust @t2118)) % 6.71/6.98 (define @t3195 () (tptp.c_Divides_OnegDivAlg @t1538 @t2118)) % 6.71/6.98 (define @t3196 () (tptp.hAPP @t1558 @t2118)) % 6.71/6.98 (define @t3197 () (tptp.hBOOL (tptp.hAPP @t1592 @t3196))) % 6.71/6.98 (define @t3198 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3199 () (tptp.hAPP @t3198 @t2310)) % 6.71/6.98 (define @t3200 () (tptp.hBOOL (tptp.hAPP @t1530 @t2118))) % 6.71/6.98 (define @t3201 () (tptp.c_Fun_Ocomp @t41 @t2989 @t10 @t1)) % 6.71/6.98 (define @t3202 () (tptp.c_Groups_Otimes__class_Otimes @t2989)) % 6.71/6.98 (define @t3203 () (tptp.c_Finite__Set_Ofold__image @t2989 @t10 @t3202)) % 6.71/6.98 (define @t3204 () (tptp.c_Finite__Set_Ofold__image @t2989 @t41 @t3202)) % 6.71/6.98 (define @t3205 () (tptp.hAPP @t3204 @t1)) % 6.71/6.98 (define @t3206 () (tptp.hAPP @t20 @t173)) % 6.71/6.98 (define @t3207 () (tptp.hAPP @t3206 @t248)) % 6.71/6.98 (define @t3208 () (tptp.hBOOL @t3207)) % 6.71/6.98 (define @t3209 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t393)) % 6.71/6.98 (define @t3210 () (tptp.hAPP @t3209 @t21)) % 6.71/6.98 (define @t3211 () (tptp.hAPP @t3210 @t20)) % 6.71/6.98 (define @t3212 () (tptp.hBOOL (tptp.hAPP @t3211 @t248))) % 6.71/6.98 (define @t3213 () (@list @t173 @t248 @t20 @t21 @t41 @t10)) % 6.71/6.98 (define @t3214 () (tptp.hBOOL (tptp.hAPP @t3207 @t291))) % 6.71/6.98 (define @t3215 () (tptp.tc_fun @t2989 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3216 () (tptp.tc_fun @t41 @t3215)) % 6.71/6.98 (define @t3217 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3216)) % 6.71/6.98 (define @t3218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3217 @t21) @t20) @t248) @t291))) % 6.71/6.98 (define @t3219 () (@list @t173 @t291 @t248 @t20 @t21 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3220 () (tptp.hAPP @t796 @t173)) % 6.71/6.98 (define @t3221 () (tptp.hBOOL (tptp.hAPP @t3220 @t21))) % 6.71/6.98 (define @t3222 () (tptp.hBOOL (tptp.hAPP @t345 @t3206))) % 6.71/6.98 (define @t3223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t41 @t23)) % 6.71/6.98 (define @t3224 () (tptp.hAPP @t3223 @t21)) % 6.71/6.98 (define @t3225 () (tptp.hAPP @t3224 @t20)) % 6.71/6.98 (define @t3226 () (tptp.hBOOL (tptp.hAPP @t345 @t3225))) % 6.71/6.98 (define @t3227 () (@list @t173 @t20 @t21 @t41 @t248 @t10)) % 6.71/6.98 (define @t3228 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3216)) % 6.71/6.98 (define @t3229 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3228 @t21) @t20) @t248) @t291))) % 6.71/6.98 (define @t3230 () (@var "V_I_2" $$unsorted)) % 6.71/6.98 (define @t3231 () (tptp.hAPP (tptp.hAPP @t3209 @t3230) @t21)) % 6.71/6.98 (define @t3232 () (tptp.hAPP @t21 @t3)) % 6.71/6.98 (define @t3233 () (tptp.hBOOL (tptp.hAPP @t2077 @t3232))) % 6.71/6.98 (define @t3234 () (tptp.hBOOL (tptp.hAPP @t170 @t3230))) % 6.71/6.98 (define @t3235 () (tptp.hBOOL (tptp.hAPP @t2094 @t248))) % 6.71/6.98 (define @t3236 () (tptp.hBOOL (tptp.hAPP @t820 @t3206))) % 6.71/6.98 (define @t3237 () (@list @t20 @t248 @t41 @t21 @t173 @t10)) % 6.71/6.98 (define @t3238 () (tptp.c_COMBB @t10 @t10 @t41)) % 6.71/6.98 (define @t3239 () (tptp.hAPP (tptp.hAPP @t3238 @t1897) @t2)) % 6.71/6.98 (define @t3240 () (tptp.hAPP (tptp.hAPP @t2922 @t3239) @t21)) % 6.71/6.98 (define @t3241 () (tptp.hAPP @t2923 @t21)) % 6.71/6.98 (define @t3242 () (tptp.hAPP (tptp.hAPP @t2092 @t3230) @t21)) % 6.71/6.98 (define @t3243 () (tptp.hAPP @t21 @t151)) % 6.71/6.98 (define @t3244 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t151) @t3230))) % 6.71/6.98 (define @t3245 () (@list @t21 @t41 @t3230 @t151 @t10)) % 6.71/6.98 (define @t3246 () (tptp.hAPP @t2092 @t108)) % 6.71/6.98 (define @t3247 () (tptp.hAPP @t3246 @t20)) % 6.71/6.98 (define @t3248 () (tptp.hAPP @t846 @t3247)) % 6.71/6.98 (define @t3249 () (tptp.c_COMBB @t393 @t393 @t10)) % 6.71/6.98 (define @t3250 () (tptp.hAPP @t3246 (tptp.hAPP (tptp.hAPP @t3249 @t846) @t20))) % 6.71/6.98 (define @t3251 () (= @t108 @t146)) % 6.71/6.98 (define @t3252 () (not @t3251)) % 6.71/6.98 (define @t3253 () (@list @t20 @t21 @t41 @t10 @t108)) % 6.71/6.98 (define @t3254 () (tptp.hAPP (tptp.hAPP @t394 (tptp.hAPP @t3246 @t21)) @t20)) % 6.71/6.98 (define @t3255 () (tptp.tc_fun @t393 @t393)) % 6.71/6.98 (define @t3256 () (tptp.c_COMBB @t393 @t3255 @t10)) % 6.71/6.98 (define @t3257 () (tptp.hAPP @t3256 @t394)) % 6.71/6.98 (define @t3258 () (tptp.hAPP @t3257 @t21)) % 6.71/6.98 (define @t3259 () (tptp.c_COMBC @t10 @t393 @t393)) % 6.71/6.98 (define @t3260 () (tptp.hAPP @t3246 (tptp.hAPP (tptp.hAPP @t3259 @t3258) @t20))) % 6.71/6.98 (define @t3261 () (tptp.hAPP @t831 @t21)) % 6.71/6.98 (define @t3262 () (@list @t20 @t21 @t173 @t10 @t41)) % 6.71/6.98 (define @t3263 () (tptp.hAPP @t2223 @t3230)) % 6.71/6.98 (define @t3264 () (tptp.hAPP @t3263 @t21)) % 6.71/6.98 (define @t3265 () (tptp.tc_fun @t23 @t23)) % 6.71/6.98 (define @t3266 () (tptp.c_COMBB @t23 @t3265 @t41)) % 6.71/6.98 (define @t3267 () (tptp.hAPP (tptp.hAPP @t3266 @t269) @t21)) % 6.71/6.98 (define @t3268 () (tptp.c_COMBS @t41 @t23 @t23)) % 6.71/6.98 (define @t3269 () (tptp.hAPP (tptp.hAPP @t3268 @t3267) @t20)) % 6.71/6.98 (define @t3270 () (@list @t20 @t21 @t3230 @t10 @t41)) % 6.71/6.98 (define @t3271 () (tptp.hAPP @t2223 @t20)) % 6.71/6.98 (define @t3272 () (@list @t2083 @t20 @t21 @t10 @t41)) % 6.71/6.98 (define @t3273 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t23 @t23)) % 6.71/6.98 (define @t3274 () (@var "V_R_2" $$unsorted)) % 6.71/6.98 (define @t3275 () (tptp.hAPP (tptp.c_COMBC @t10 @t23 tptp.tc_HOL_Obool) @t169)) % 6.71/6.98 (define @t3276 () (tptp.hAPP @t3275 @t728)) % 6.71/6.98 (define @t3277 () (tptp.hAPP @t3275 @t3274)) % 6.71/6.98 (define @t3278 () (@list @t51 @t728 @t3274 @t10)) % 6.71/6.98 (define @t3279 () (tptp.hAPP @t3223 @t108)) % 6.71/6.98 (define @t3280 () (tptp.hAPP @t3279 @t20)) % 6.71/6.98 (define @t3281 () (tptp.hAPP @t310 @t3280)) % 6.71/6.98 (define @t3282 () (tptp.c_COMBB @t23 @t23 @t41)) % 6.71/6.98 (define @t3283 () (tptp.hAPP @t3279 (tptp.hAPP (tptp.hAPP @t3282 @t310) @t20))) % 6.71/6.98 (define @t3284 () (@list @t20 @t21 @t108 @t10 @t41)) % 6.71/6.98 (define @t3285 () (tptp.hAPP (tptp.hAPP @t269 (tptp.hAPP @t3279 @t21)) @t20)) % 6.71/6.98 (define @t3286 () (tptp.c_COMBC @t41 @t23 @t23)) % 6.71/6.98 (define @t3287 () (tptp.hAPP @t3279 (tptp.hAPP (tptp.hAPP @t3286 @t3267) @t20))) % 6.71/6.98 (define @t3288 () (@list @t20 @t108 @t41 @t21 @t10)) % 6.71/6.98 (define @t3289 () (tptp.hAPP @t3223 @t3230)) % 6.71/6.98 (define @t3290 () (tptp.hAPP @t3289 @t21)) % 6.71/6.98 (define @t3291 () (@list @t21 @t3230 @t41 @t20 @t10)) % 6.71/6.98 (define @t3292 () (@list @t20 @t21 @t108 @t41 @t10)) % 6.71/6.98 (define @t3293 () (tptp.c_COMBB @t23 @t23 @t2989)) % 6.71/6.98 (define @t3294 () (tptp.tc_fun @t2989 @t23)) % 6.71/6.98 (define @t3295 () (tptp.hAPP (tptp.c_COMBB @t3265 (tptp.tc_fun @t3294 @t3294) @t41) @t3293)) % 6.71/6.98 (define @t3296 () (tptp.c_COMBC @t41 @t3294 @t3294)) % 6.71/6.98 (define @t3297 () (@var "V_J_2" $$unsorted)) % 6.71/6.98 (define @t3298 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2989 @t23)) % 6.71/6.98 (define @t3299 () (tptp.hAPP @t3298 @t3297)) % 6.71/6.98 (define @t3300 () (tptp.c_COMBB @t3294 @t23 @t41)) % 6.71/6.98 (define @t3301 () (@list @t20 @t3297 @t2989 @t21 @t3230 @t41 @t10)) % 6.71/6.98 (define @t3302 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2098)) % 6.71/6.98 (define @t3303 () (tptp.c_Product__Type_OPair @t10 @t41)) % 6.71/6.98 (define @t3304 () (tptp.hAPP @t3303 @t51)) % 6.71/6.98 (define @t3305 () (tptp.hAPP @t3304 @t97)) % 6.71/6.98 (define @t3306 () (tptp.c_member @t2097)) % 6.71/6.98 (define @t3307 () (tptp.hAPP @t3306 @t3305)) % 6.71/6.98 (define @t3308 () (tptp.tc_fun @t2098 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3309 () (tptp.tc_fun @t41 @t3308)) % 6.71/6.98 (define @t3310 () (tptp.tc_fun @t41 @t2097)) % 6.71/6.98 (define @t3311 () (tptp.hAPP (tptp.c_COMBC @t10 @t2098 @t393) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3309 (tptp.tc_fun @t2098 @t393) @t10) (tptp.c_COMBC @t41 @t2098 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 @t3309 @t10) (tptp.hAPP (tptp.c_COMBB @t2097 @t3308 @t41) @t3306)) @t3303)))) % 6.71/6.98 (define @t3312 () (tptp.hAPP @t3311 @t728)) % 6.71/6.98 (define @t3313 () (tptp.hAPP @t3311 @t3274)) % 6.71/6.98 (define @t3314 () (tptp.tc_fun @t10 @t393)) % 6.71/6.98 (define @t3315 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3314)) % 6.71/6.98 (define @t3316 () (@list @t97 @t51 @t728 @t3274 @t41 @t10)) % 6.71/6.98 (define @t3317 () (tptp.c_Set_Oimage @t41 @t23 @t20)) % 6.71/6.98 (define @t3318 () (tptp.hAPP @t3317 @t108)) % 6.71/6.98 (define @t3319 () (tptp.hAPP (tptp.c_Set_Oimage @t41 @t23 @t21) @t108)) % 6.71/6.98 (define @t3320 () (tptp.hAPP (tptp.hAPP @t3266 @t264) @t21)) % 6.71/6.98 (define @t3321 () (tptp.hAPP (tptp.hAPP @t3268 @t3320) @t20)) % 6.71/6.98 (define @t3322 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t23)) % 6.71/6.98 (define @t3323 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3324 () (tptp.hAPP @t3323 @t1248)) % 6.71/6.98 (define @t3325 () (tptp.hAPP @t3324 @t151)) % 6.71/6.98 (define @t3326 () (tptp.hAPP @t3322 @t1001)) % 6.71/6.98 (define @t3327 () (tptp.hAPP @t3209 @t108)) % 6.71/6.98 (define @t3328 () (tptp.hAPP @t863 (tptp.hAPP @t3327 @t20))) % 6.71/6.98 (define @t3329 () (tptp.hAPP @t3327 (tptp.hAPP (tptp.hAPP @t3249 @t863) @t20))) % 6.71/6.98 (define @t3330 () (tptp.hAPP @t3327 @t21)) % 6.71/6.98 (define @t3331 () (tptp.hAPP (tptp.hAPP @t398 @t3330) @t20)) % 6.71/6.98 (define @t3332 () (tptp.hAPP (tptp.hAPP @t3256 @t398) @t21)) % 6.71/6.98 (define @t3333 () (tptp.hAPP @t3327 (tptp.hAPP (tptp.hAPP @t3259 @t3332) @t20))) % 6.71/6.98 (define @t3334 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t23)) % 6.71/6.98 (define @t3335 () (tptp.hAPP @t3334 @t20)) % 6.71/6.98 (define @t3336 () (tptp.c_COMBC @t23 @t23 @t23)) % 6.71/6.98 (define @t3337 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2989 @t23)) % 6.71/6.98 (define @t3338 () (tptp.hAPP @t3337 @t3297)) % 6.71/6.98 (define @t3339 () (tptp.hAPP @t2223 @t108)) % 6.71/6.98 (define @t3340 () (tptp.hAPP @t3339 (tptp.hAPP (tptp.hAPP @t3286 @t3320) @t20))) % 6.71/6.98 (define @t3341 () (tptp.hAPP @t3339 @t21)) % 6.71/6.98 (define @t3342 () (tptp.hAPP (tptp.hAPP @t264 @t3341) @t20)) % 6.71/6.98 (define @t3343 () (tptp.hAPP @t3339 (tptp.hAPP (tptp.hAPP @t3282 @t319) @t20))) % 6.71/6.98 (define @t3344 () (tptp.hAPP @t319 (tptp.hAPP @t3339 @t20))) % 6.71/6.98 (define @t3345 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2098)) % 6.71/6.98 (define @t3346 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3314)) % 6.71/6.98 (define @t3347 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Nat_Onat) @t2)) % 6.71/6.98 (define @t3348 () (tptp.hAPP @t2935 (tptp.hAPP @t3347 @t3325))) % 6.71/6.98 (define @t3349 () (@list @t115 @t151 @t181 @t2 @t10)) % 6.71/6.98 (define @t3350 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t10) @t1511) @t2)) % 6.71/6.98 (define @t3351 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3352 () (tptp.hAPP (tptp.hAPP @t3351 @t3350) @t21)) % 6.71/6.98 (define @t3353 () (tptp.hAPP @t2877 @t21)) % 6.71/6.98 (define @t3354 () (@list @t21 @t2 @t10)) % 6.71/6.98 (define @t3355 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 @t41) @t1837) @t2)) % 6.71/6.98 (define @t3356 () (tptp.tc_fun @t41 @t41)) % 6.71/6.98 (define @t3357 () (tptp.c_COMBB @t41 @t3356 @t10)) % 6.71/6.98 (define @t3358 () (tptp.c_COMBS @t10 @t41 @t41)) % 6.71/6.98 (define @t3359 () (tptp.hAPP (tptp.hAPP @t3358 (tptp.hAPP (tptp.hAPP @t3357 @t2269) @t1)) @t2075)) % 6.71/6.98 (define @t3360 () (@list @t2075 @t1 @t21 @t10 @t41)) % 6.71/6.98 (define @t3361 () (tptp.hAPP @t2866 @t21)) % 6.71/6.98 (define @t3362 () (tptp.tc_fun @t10 @t10)) % 6.71/6.98 (define @t3363 () (tptp.c_COMBB @t10 @t3362 @t41)) % 6.71/6.98 (define @t3364 () (tptp.hAPP (tptp.hAPP @t3363 @t1019) @t2)) % 6.71/6.98 (define @t3365 () (tptp.c_COMBS @t41 @t10 @t10)) % 6.71/6.98 (define @t3366 () (@list @t21 @t1 @t2 @t41 @t10)) % 6.71/6.98 (define @t3367 () (tptp.c_COMBK @t10 @t41)) % 6.71/6.98 (define @t3368 () (@list @t21 @t41 @t10)) % 6.71/6.98 (define @t3369 () (tptp.hAPP @t3339 (tptp.hAPP (tptp.hAPP @t3282 @t785) @t20))) % 6.71/6.98 (define @t3370 () (tptp.hAPP @t785 @t3280)) % 6.71/6.98 (define @t3371 () (tptp.hAPP (tptp.hAPP @t784 @t3341) @t20)) % 6.71/6.98 (define @t3372 () (tptp.hAPP @t3339 (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP @t3266 @t784) @t21)) @t20))) % 6.71/6.98 (define @t3373 () (tptp.c_COMBC @t10 @t23 @t23)) % 6.71/6.98 (define @t3374 () (tptp.hAPP (tptp.hAPP @t3373 @t594) @t146)) % 6.71/6.98 (define @t3375 () (tptp.c_COMBK @t41 @t10)) % 6.71/6.98 (define @t3376 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 (tptp.hAPP @t3375 @t291)) @t21)) % 6.71/6.98 (define @t3377 () (= @t3376 (tptp.hAPP (tptp.hAPP @t830 @t291) @t825))) % 6.71/6.98 (define @t3378 () (@list @t291 @t41 @t10 @t21)) % 6.71/6.98 (define @t3379 () (tptp.hAPP (tptp.hAPP @t3249 @t831) @t20)) % 6.71/6.98 (define @t3380 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t261) @t21))) % 6.71/6.98 (define @t3381 () (@list @t20 @t173 @t41 @t21 @t261 @t10)) % 6.71/6.98 (define @t3382 () (tptp.hAPP @t3317 @t21)) % 6.71/6.98 (define @t3383 () (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t3382)) % 6.71/6.98 (define @t3384 () (@list @t20 @t21 @t10 @t41)) % 6.71/6.98 (define @t3385 () (@list @t21 @t20 @t41 @t10)) % 6.71/6.98 (define @t3386 () (@var "V_Y_2" $$unsorted)) % 6.71/6.98 (define @t3387 () (tptp.c_COMBI @t10)) % 6.71/6.98 (define @t3388 () (@list @t3386 @t10)) % 6.71/6.98 (define @t3389 () (tptp.c_COMBB @t41 @t10 @t2989)) % 6.71/6.98 (define @t3390 () (tptp.c_Set_Oimage @t2989 @t41 @t1)) % 6.71/6.98 (define @t3391 () (tptp.hAPP (tptp.c_Set_Oimage @t41 @t2989 @t2) @t21)) % 6.71/6.98 (define @t3392 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2989 @t23 @t41) @t20) @t2)) % 6.71/6.98 (define @t3393 () (@list @t2 @t20 @t2989 @t21 @t10 @t41)) % 6.71/6.98 (define @t3394 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 @t23 @t2989) @t20) @t2)) % 6.71/6.98 (define @t3395 () (tptp.hAPP @t3298 @t21)) % 6.71/6.98 (define @t3396 () (tptp.hAPP (tptp.c_Set_Oimage @t2989 @t41 @t2) @t21)) % 6.71/6.98 (define @t3397 () (@list @t20 @t21 @t2 @t2989 @t10 @t41)) % 6.71/6.98 (define @t3398 () (tptp.hAPP @t657 @t3280)) % 6.71/6.98 (define @t3399 () (tptp.hAPP @t3279 (tptp.hAPP (tptp.hAPP @t3282 @t657) @t20))) % 6.71/6.98 (define @t3400 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t113 @t41) @t224) @t20)) % 6.71/6.98 (define @t3401 () (tptp.c_COMBI @t23)) % 6.71/6.98 (define @t3402 () (tptp.hAPP @t3367 @t291)) % 6.71/6.98 (define @t3403 () (tptp.hAPP @t173 (tptp.hAPP @t248 @t1961))) % 6.71/6.98 (define @t3404 () (= @t3403 (tptp.hAPP @t291 @t1961))) % 6.71/6.98 (define @t3405 () (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t41 @t10 @t173) @t248)) % 6.71/6.98 (define @t3406 () (@list @t1961 @t291 @t248 @t173 @t10 @t41 @t2989)) % 6.71/6.98 (define @t3407 () (tptp.c_COMBC @t41 @t2989 @t10)) % 6.71/6.98 (define @t3408 () (tptp.hAPP @t3407 @t2)) % 6.71/6.98 (define @t3409 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t41 @t10)) % 6.71/6.98 (define @t3410 () (tptp.hAPP @t3409 @t21)) % 6.71/6.98 (define @t3411 () (tptp.c_COMBB @t148 @t10 @t2989)) % 6.71/6.98 (define @t3412 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2989 @t10) @t20)) % 6.71/6.98 (define @t3413 () (tptp.tc_fun @t2989 @t10)) % 6.71/6.98 (define @t3414 () (tptp.c_COMBB @t3413 @t10 @t41)) % 6.71/6.98 (define @t3415 () (@list @t2 @t20 @t2989 @t21 @t41 @t10)) % 6.71/6.98 (define @t3416 () (tptp.hAPP @t3408 @t51)) % 6.71/6.98 (define @t3417 () (@list @t51 @t2 @t21 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3418 () (tptp.tc_fun @t41 @t23)) % 6.71/6.98 (define @t3419 () (tptp.c_COMBC @t393 @t3418 @t23)) % 6.71/6.98 (define @t3420 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t393 @t23) @t21) (tptp.hAPP (tptp.hAPP @t3419 @t3223) @t20))) % 6.71/6.98 (define @t3421 () (tptp.c_Complete__Lattice_OSup__class_OSup @t393 @t21)) % 6.71/6.98 (define @t3422 () (tptp.hAPP (tptp.hAPP @t3223 @t3421) @t20)) % 6.71/6.98 (define @t3423 () (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t10 @t2989 @t2) @t1)) % 6.71/6.98 (define @t3424 () (tptp.hAPP @t3423 @t51)) % 6.71/6.98 (define @t3425 () (@var "T_e" $$unsorted)) % 6.71/6.98 (define @t3426 () (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t41 @t3425 @t2) @t1)) % 6.71/6.98 (define @t3427 () (tptp.c_Fun_Ocomp @t2989 @t41 @t10 @t2)) % 6.71/6.98 (define @t3428 () (@var "V_b_H_2" $$unsorted)) % 6.71/6.98 (define @t3429 () (@var "V_a_H_2" $$unsorted)) % 6.71/6.98 (define @t3430 () (= @t173 @t3429)) % 6.71/6.98 (define @t3431 () (and @t3430 (= @t248 @t3428))) % 6.71/6.98 (define @t3432 () (@list @t3428 @t3429 @t248 @t173 @t41 @t10)) % 6.71/6.98 (define @t3433 () (@var "V_x_H_2" $$unsorted)) % 6.71/6.98 (define @t3434 () (@var "V_g_H_2" $$unsorted)) % 6.71/6.98 (define @t3435 () (@var "V_f_H_2" $$unsorted)) % 6.71/6.98 (define @t3436 () (@var "T_f" $$unsorted)) % 6.71/6.98 (define @t3437 () (= @t3405 (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t41 @t10 @t291) @t289))) % 6.71/6.98 (define @t3438 () (@var "B_v" $$unsorted)) % 6.71/6.98 (define @t3439 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t10 @t41 @t2 @t173 @t248) @t51)) % 6.71/6.98 (define @t3440 () (= @t51 @t173)) % 6.71/6.98 (define @t3441 () (= @t3274 @t728)) % 6.71/6.98 (define @t3442 () (@list @t728 @t3274 @t41 @t10)) % 6.71/6.98 (define @t3443 () (tptp.hBOOL (tptp.hAPP @t345 @t2090))) % 6.71/6.98 (define @t3444 () (@list @t20 @t21 @t41 @t248 @t10)) % 6.71/6.98 (define @t3445 () (@list @t728 @t3274 @t10)) % 6.71/6.98 (define @t3446 () (tptp.hAPP (tptp.hAPP @t3282 @t301) @t20)) % 6.71/6.98 (define @t3447 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t393 @t23)) % 6.71/6.98 (define @t3448 () (tptp.hAPP @t3447 @t21)) % 6.71/6.98 (define @t3449 () (tptp.hAPP @t3448 (tptp.hAPP (tptp.hAPP @t3419 @t2223) @t20))) % 6.71/6.98 (define @t3450 () (tptp.hAPP (tptp.hAPP @t2223 @t3421) @t20)) % 6.71/6.98 (define @t3451 () (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t728)) % 6.71/6.98 (define @t3452 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t10)) % 6.71/6.98 (define @t3453 () (tptp.hAPP @t3452 @t21)) % 6.71/6.98 (define @t3454 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2989 @t10) @t20)) % 6.71/6.98 (define @t3455 () (tptp.hAPP @t2090 @t248)) % 6.71/6.98 (define @t3456 () (tptp.hBOOL @t3455)) % 6.71/6.98 (define @t3457 () (@list @t248 @t20 @t21 @t41 @t10)) % 6.71/6.98 (define @t3458 () (tptp.c_COMBB @t393 (tptp.tc_fun @t3418 @t23) @t2989)) % 6.71/6.98 (define @t3459 () (tptp.c_COMBC @t2989 @t3418 @t23)) % 6.71/6.98 (define @t3460 () (tptp.hAPP @t3337 @t21)) % 6.71/6.98 (define @t3461 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2989 @t393) @t21) @t20)) % 6.71/6.98 (define @t3462 () (@list @t108 @t20 @t21 @t2989 @t10 @t41)) % 6.71/6.98 (define @t3463 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t3215)) % 6.71/6.98 (define @t3464 () (tptp.hAPP (tptp.hAPP @t3463 @t21) @t20)) % 6.71/6.98 (define @t3465 () (tptp.c_COMBB @t3215 (tptp.tc_fun @t3294 @t23) @t41)) % 6.71/6.98 (define @t3466 () (tptp.c_COMBC @t41 @t3294 @t23)) % 6.71/6.98 (define @t3467 () (@list @t108 @t20 @t2989 @t21 @t10 @t41)) % 6.71/6.98 (define @t3468 () (tptp.hAPP @t3337 @t3391)) % 6.71/6.98 (define @t3469 () (tptp.c_COMBB @t393 @t23 @t2989)) % 6.71/6.98 (define @t3470 () (@list @t728 @t2 @t10 @t41)) % 6.71/6.98 (define @t3471 () (tptp.c_Set_Oimage @t41 @t2989 @t1)) % 6.71/6.98 (define @t3472 () (tptp.c_Set_Oimage @t2989 @t10 @t2)) % 6.71/6.98 (define @t3473 () (forall @t7 (=> @t823 (= @t2090 @t146)))) % 6.71/6.98 (define @t3474 () (tptp.c_COMBK @t23 @t41)) % 6.71/6.98 (define @t3475 () (tptp.c_COMBK @t393 @t10)) % 6.71/6.98 (define @t3476 () (tptp.hAPP @t3475 @t291)) % 6.71/6.98 (define @t3477 () (tptp.hAPP @t2093 @t3476)) % 6.71/6.98 (define @t3478 () (tptp.hAPP @t3375 @t2083)) % 6.71/6.98 (define @t3479 () (@list @t2083 @t10 @t21 @t41)) % 6.71/6.98 (define @t3480 () (tptp.c_Orderings_Obot__class_Obot @t2098)) % 6.71/6.98 (define @t3481 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t3314) @t51) @t97))) % 6.71/6.98 (define @t3482 () (@list @t97 @t51 @t41 @t10)) % 6.71/6.98 (define @t3483 () (tptp.hAPP @t3427 @t1)) % 6.71/6.98 (define @t3484 () (tptp.hBOOL @t3232)) % 6.71/6.98 (define @t3485 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t757) @t964)) % 6.71/6.98 (define @t3486 () (tptp.hAPP @t3210 @t3476)) % 6.71/6.98 (define @t3487 () (tptp.tc_prod @t41 @t2989)) % 6.71/6.98 (define @t3488 () (tptp.tc_fun @t3487 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3489 () (tptp.c_Product__Type_OPair @t41 @t2989)) % 6.71/6.98 (define @t3490 () (tptp.hAPP (tptp.hAPP @t3489 @t51) @t97)) % 6.71/6.98 (define @t3491 () (tptp.c_member @t3487)) % 6.71/6.98 (define @t3492 () (tptp.hAPP @t3491 @t3490)) % 6.71/6.98 (define @t3493 () (tptp.tc_fun @t3488 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3494 () (tptp.tc_fun @t2989 @t3493)) % 6.71/6.98 (define @t3495 () (tptp.tc_fun @t2989 @t3487)) % 6.71/6.98 (define @t3496 () (tptp.hAPP (tptp.c_COMBC @t41 @t3488 @t3215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3494 (tptp.tc_fun @t3488 @t3215) @t41) (tptp.c_COMBC @t2989 @t3488 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3495 @t3494 @t41) (tptp.hAPP (tptp.c_COMBB @t3487 @t3493 @t2989) @t3491)) @t3489)))) % 6.71/6.98 (define @t3497 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3488 @t3216 @t10) @t3496) @t2727)) % 6.71/6.98 (define @t3498 () (@list @t97 @t51 @t2727 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3499 () (forall @t7 (=> @t823 (= @t2090 @t165)))) % 6.71/6.98 (define @t3500 () (tptp.hAPP @t3209 @t165)) % 6.71/6.98 (define @t3501 () (tptp.hAPP (tptp.c_COMBC @t41 @t393 tptp.tc_HOL_Obool) @t796)) % 6.71/6.98 (define @t3502 () (tptp.hAPP (tptp.hAPP @t3249 @t3501) @t2727)) % 6.71/6.98 (define @t3503 () (@list @t51 @t2727 @t41 @t10)) % 6.71/6.98 (define @t3504 () (tptp.tc_fun @t2989 @t41)) % 6.71/6.98 (define @t3505 () (tptp.hAPP @t3327 (tptp.hAPP (tptp.hAPP @t3249 @t809) @t20))) % 6.71/6.98 (define @t3506 () (tptp.hAPP @t809 @t3247)) % 6.71/6.98 (define @t3507 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3508 () (tptp.hAPP (tptp.hAPP @t3256 @t808) @t21)) % 6.71/6.98 (define @t3509 () (tptp.hAPP @t3327 (tptp.hAPP (tptp.hAPP @t3259 @t3508) @t20))) % 6.71/6.98 (define @t3510 () (tptp.hAPP (tptp.hAPP @t808 @t3330) @t20)) % 6.71/6.98 (define @t3511 () (tptp.hAPP @t831 @t3247)) % 6.71/6.98 (define @t3512 () (tptp.hAPP @t3246 @t3379)) % 6.71/6.98 (define @t3513 () (@list @t20 @t173 @t41 @t10 @t108)) % 6.71/6.98 (define @t3514 () (tptp.hAPP @t831 @t825)) % 6.71/6.98 (define @t3515 () (tptp.hAPP @t2092 @t165)) % 6.71/6.98 (define @t3516 () (tptp.hAPP @t2925 @t21)) % 6.71/6.98 (define @t3517 () (tptp.hAPP (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP @t3363 @t807) @t2)) @t1)) % 6.71/6.98 (define @t3518 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3519 () (tptp.hAPP (tptp.hAPP @t3518 @t3350) @t21)) % 6.71/6.98 (define @t3520 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2989 @t10)) % 6.71/6.98 (define @t3521 () (tptp.c_COMBB @t3413 (tptp.tc_fun @t3215 @t10) @t41)) % 6.71/6.98 (define @t3522 () (tptp.hAPP @t3521 @t3520)) % 6.71/6.98 (define @t3523 () (tptp.c_COMBC @t41 @t3215 @t10)) % 6.71/6.98 (define @t3524 () (tptp.hAPP @t1019 @t3241)) % 6.71/6.98 (define @t3525 () (tptp.class_Rings_Osemiring__0 @t10)) % 6.71/6.98 (define @t3526 () (tptp.c_COMBC @t41 @t10 @t10)) % 6.71/6.98 (define @t3527 () (tptp.hAPP @t3526 @t3364)) % 6.71/6.98 (define @t3528 () (@list @t2727 @t21 @t2 @t41 @t10)) % 6.71/6.98 (define @t3529 () (tptp.hAPP @t1019 @t2727)) % 6.71/6.98 (define @t3530 () (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP (tptp.hAPP @t3523 (tptp.hAPP @t3522 @t2)) @t20)) @t21)) % 6.71/6.98 (define @t3531 () (@list @t21 @t20 @t2 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3532 () (tptp.hAPP @t3367 @t925)) % 6.71/6.98 (define @t3533 () (tptp.hAPP (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP @t3363 @t1313) @t2)) @t1)) % 6.71/6.98 (define @t3534 () (tptp.hAPP @t2083 @t220)) % 6.71/6.98 (define @t3535 () (tptp.hBOOL (tptp.hAPP @t439 @t21))) % 6.71/6.98 (define @t3536 () (@list @t2083 @t21 @t220 @t10 @t41)) % 6.71/6.98 (define @t3537 () (tptp.hBOOL (tptp.hAPP @t822 @t3230))) % 6.71/6.98 (define @t3538 () (@list @t20 @t21 @t3230 @t41 @t10)) % 6.71/6.98 (define @t3539 () (tptp.hAPP @t2083 @t3)) % 6.71/6.98 (define @t3540 () (tptp.hAPP @t99 @t261)) % 6.71/6.98 (define @t3541 () (tptp.c_Orderings_Oord__class_Oless__eq @t2098)) % 6.71/6.98 (define @t3542 () (tptp.c_Orderings_Oord__class_Oless__eq @t3314)) % 6.71/6.98 (define @t3543 () (@list @t20 @t41 @t21 @t173 @t10)) % 6.71/6.98 (define @t3544 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3545 () (tptp.hAPP (tptp.hAPP @t3544 @t1248) @t3507)) % 6.71/6.98 (define @t3546 () (tptp.hAPP @t1861 @t1354)) % 6.71/6.98 (define @t3547 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t3546)) % 6.71/6.98 (define @t3548 () (tptp.hAPP @t1861 @t2679)) % 6.71/6.98 (define @t3549 () (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t117) @t53)) % 6.71/6.98 (define @t3550 () (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t53)) % 6.71/6.98 (define @t3551 () (tptp.hAPP @t3550 @t117)) % 6.71/6.98 (define @t3552 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3356 @t2989) @t2) @t1)) % 6.71/6.98 (define @t3553 () (@list @t1 @t2989 @t2 @t41 @t10)) % 6.71/6.98 (define @t3554 () (tptp.hAPP (tptp.hAPP @t3363 @t2) @t1)) % 6.71/6.98 (define @t3555 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 @t41) @t1258) @t2)) % 6.71/6.98 (define @t3556 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t41 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3557 () (= (tptp.hAPP @t3550 @t53) @t53)) % 6.71/6.98 (define @t3558 () (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3559 () (tptp.hAPP @t3558 @t2)) % 6.71/6.98 (define @t3560 () (tptp.hAPP @t3559 tptp.c_Int_Onat)) % 6.71/6.98 (define @t3561 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t10)) % 6.71/6.98 (define @t3562 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t10)) % 6.71/6.98 (define @t3563 () (and @t2924 @t2867)) % 6.71/6.98 (define @t3564 () (tptp.hAPP @t2935 (tptp.hAPP @t3347 tptp.c_Nat_OSuc))) % 6.71/6.98 (define @t3565 () (@list @t115 @t181 @t2 @t10)) % 6.71/6.98 (define @t3566 () (tptp.hAPP @t3322 @t964)) % 6.71/6.98 (define @t3567 () (tptp.hAPP @t3566 @t21)) % 6.71/6.98 (define @t3568 () (tptp.tc_fun tptp.tc_Nat_Onat @t23)) % 6.71/6.98 (define @t3569 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t10) @t1243)) % 6.71/6.98 (define @t3570 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3571 () (tptp.hAPP @t3570 tptp.c_Nat_OSuc)) % 6.71/6.98 (define @t3572 () (tptp.hAPP @t3064 @t115)) % 6.71/6.98 (define @t3573 () (tptp.hAPP @t3064 @t116)) % 6.71/6.98 (define @t3574 () (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t3382)) % 6.71/6.98 (define @t3575 () (tptp.hAPP @t3157 @t115)) % 6.71/6.98 (define @t3576 () (tptp.hAPP @t3157 @t116)) % 6.71/6.98 (define @t3577 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3325)) % 6.71/6.98 (define @t3578 () (@list @t902 @t220 @t151)) % 6.71/6.98 (define @t3579 () (tptp.c_COMBC @t10 @t10 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3580 () (tptp.hAPP @t3579 tptp.c_fequal)) % 6.71/6.98 (define @t3581 () (tptp.hAPP @t3580 @t173)) % 6.71/6.98 (define @t3582 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t41 @t3356) @t10) (tptp.c_If @t41))) % 6.71/6.98 (define @t3583 () (tptp.c_COMBS @t10 @t41 @t3356)) % 6.71/6.98 (define @t3584 () (tptp.c_COMBC @t10 @t41 @t41)) % 6.71/6.98 (define @t3585 () (tptp.hAPP @t3584 (tptp.hAPP (tptp.hAPP @t3583 (tptp.hAPP @t3582 @t3581)) @t248))) % 6.71/6.98 (define @t3586 () (tptp.hAPP (tptp.hAPP @t2914 (tptp.hAPP @t3585 @t2858)) @t728)) % 6.71/6.98 (define @t3587 () (tptp.hBOOL (tptp.hAPP @t322 @t728))) % 6.71/6.98 (define @t3588 () (not @t3587)) % 6.71/6.98 (define @t3589 () (tptp.hAPP @t248 @t173)) % 6.71/6.98 (define @t3590 () (@list @t248 @t173 @t728 @t10 @t41)) % 6.71/6.98 (define @t3591 () (tptp.hAPP tptp.c_fequal @t173)) % 6.71/6.98 (define @t3592 () (tptp.hAPP @t3584 (tptp.hAPP (tptp.hAPP @t3583 (tptp.hAPP @t3582 @t3591)) @t248))) % 6.71/6.98 (define @t3593 () (tptp.hAPP (tptp.hAPP @t2914 (tptp.hAPP @t3592 @t2858)) @t728)) % 6.71/6.98 (define @t3594 () (tptp.hAPP (tptp.hAPP @t2852 (tptp.hAPP @t3585 @t2268)) @t728)) % 6.71/6.98 (define @t3595 () (tptp.hAPP (tptp.hAPP @t2852 (tptp.hAPP @t3592 @t2268)) @t728)) % 6.71/6.98 (define @t3596 () (tptp.c_COMBS @t10 @t10 @t10)) % 6.71/6.98 (define @t3597 () (tptp.hAPP (tptp.hAPP @t3596 @t1019) @t3387)) % 6.71/6.98 (define @t3598 () (tptp.hAPP @t2435 @t513)) % 6.71/6.98 (define @t3599 () (tptp.c_HOL_OLet @t10 @t10)) % 6.71/6.98 (define @t3600 () (tptp.hAPP @t3599 (tptp.hAPP @t3598 @t3546))) % 6.71/6.98 (define @t3601 () (tptp.hAPP @t3579 @t99)) % 6.71/6.98 (define @t3602 () (tptp.c_Power_Opower__class_Opower @t41)) % 6.71/6.98 (define @t3603 () (tptp.c_Finite__Set_Ofold @t10 @t41 (tptp.hAPP (tptp.hAPP @t3357 @t464) @t2))) % 6.71/6.98 (define @t3604 () (tptp.c_Finite__Set_Ofold @t10 @t41 (tptp.hAPP (tptp.hAPP @t3357 @t456) @t2))) % 6.71/6.98 (define @t3605 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3606 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3607 () (tptp.hAPP @t2402 @t513)) % 6.71/6.98 (define @t3608 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t3607 @t3546))) % 6.71/6.98 (define @t3609 () (tptp.c_Orderings_Otop__class_Otop @t3215)) % 6.71/6.98 (define @t3610 () (tptp.c_Fun_Ocomp @t10 @t2989 @t41 @t1)) % 6.71/6.98 (define @t3611 () (@list @t115 @t2 @t10)) % 6.71/6.98 (define @t3612 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t41 @t2989 @t2) @t1)) % 6.71/6.98 (define @t3613 () (tptp.c_Set_Oimage @t10 @t2989 @t2)) % 6.71/6.98 (define @t3614 () (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t41 @t10 @t1) @t2)) % 6.71/6.98 (define @t3615 () (tptp.hAPP @t3201 @t2)) % 6.71/6.98 (define @t3616 () (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t2989 @t10 @t3435) @t2)) % 6.71/6.98 (define @t3617 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t10)) % 6.71/6.98 (define @t3618 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3619 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 tptp.tc_Nat_Onat) @t2) @t1511)) % 6.71/6.98 (define @t3620 () (tptp.hAPP (tptp.hAPP @t3561 @t2) @t21)) % 6.71/6.98 (define @t3621 () (tptp.hAPP @t3275 @t21)) % 6.71/6.98 (define @t3622 () (tptp.hAPP @t3275 @t20)) % 6.71/6.98 (define @t3623 () (tptp.hAPP (tptp.hAPP @t2914 (tptp.hAPP (tptp.hAPP @t3584 (tptp.hAPP (tptp.hAPP @t3583 (tptp.hAPP @t3582 @t3622)) @t2)) @t2858)) @t21)) % 6.71/6.98 (define @t3624 () (@list @t20 @t2 @t21 @t10 @t41)) % 6.71/6.98 (define @t3625 () (tptp.hAPP @t2435 @t1962)) % 6.71/6.98 (define @t3626 () (tptp.hAPP @t3599 (tptp.hAPP @t3625 @t3546))) % 6.71/6.98 (define @t3627 () (=> @t2064 (= @t1978 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t10 @t1248) @t3569) @t890) @t21)))) % 6.71/6.98 (define @t3628 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t3265 @t10) (tptp.hAPP @t3336 @t784)) @t3374)) % 6.71/6.98 (define @t3629 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3630 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t3629) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t3629) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 6.71/6.98 (define @t3631 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3632 () (tptp.hAPP @t3631 (tptp.hAPP @t3630 @t890))) % 6.71/6.98 (define @t3633 () (tptp.hAPP @t3632 tptp.c_Int_Onat)) % 6.71/6.98 (define @t3634 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3635 () (tptp.hAPP (tptp.hAPP @t911 @t1766) @t1765)) % 6.71/6.98 (define @t3636 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1764))) % 6.71/6.98 (define @t3637 () (tptp.hAPP (tptp.hAPP @t3198 @t2397) @t2007)) % 6.71/6.98 (define @t3638 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1243 @t115)) % 6.71/6.98 (define @t3639 () (tptp.hAPP @t3617 @t2)) % 6.71/6.98 (define @t3640 () (tptp.hAPP @t3639 @t21)) % 6.71/6.98 (define @t3641 () (tptp.c_COMBC @t10 @t10 @t10)) % 6.71/6.98 (define @t3642 () (tptp.hAPP @t2648 @t2453)) % 6.71/6.98 (define @t3643 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3644 () (tptp.c_If @t3643)) % 6.71/6.98 (define @t3645 () (tptp.tc_fun @t3643 @t3643)) % 6.71/6.98 (define @t3646 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3643 @t3645) tptp.tc_Int_Oint) @t3644)) % 6.71/6.98 (define @t3647 () (tptp.c_COMBS tptp.tc_Int_Oint @t3643 @t3645)) % 6.71/6.98 (define @t3648 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t3643)) % 6.71/6.98 (define @t3649 () (tptp.hAPP (tptp.hAPP @t3198 @t2453) @t2727)) % 6.71/6.98 (define @t3650 () (tptp.c_Divides_Oadjust @t248)) % 6.71/6.98 (define @t3651 () (tptp.hAPP @t2935 @t60)) % 6.71/6.98 (define @t3652 () (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t2989 @t10 @t2075) @t2)) % 6.71/6.98 (define @t3653 () (tptp.hAPP @t2990 @t3652)) % 6.71/6.98 (define @t3654 () (@list @t2075 @t20 @t2 @t41 @t10 @t2989)) % 6.71/6.98 (define @t3655 () (tptp.c_COMBB tptp.tc_Nat_Onat @t757 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3656 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3657 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3658 () (tptp.hAPP (tptp.hAPP @t3657 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 6.71/6.98 (define @t3659 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3660 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3661 () (tptp.hAPP @t3660 (tptp.hAPP (tptp.hAPP @t3659 tptp.c_fimplies) @t3658))) % 6.71/6.98 (define @t3662 () (tptp.hAPP @t3659 tptp.c_fconj)) % 6.71/6.98 (define @t3663 () (tptp.hAPP @t3660 (tptp.hAPP @t3662 @t3658))) % 6.71/6.98 (define @t3664 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t2593)) % 6.71/6.98 (define @t3665 () (tptp.hBOOL (tptp.hAPP @t3664 (tptp.hAPP @t3663 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3655 tptp.c_fequal) tptp.c_Int_Onat)) @t115)))))) % 6.71/6.98 (define @t3666 () (@list @t1961 @t115)) % 6.71/6.98 (define @t3667 () (@list @t115 @t1961)) % 6.71/6.98 (define @t3668 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t2989)) % 6.71/6.98 (define @t3669 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t41 @t2989)) % 6.71/6.98 (define @t3670 () (tptp.hAPP @t3669 @t2075)) % 6.71/6.98 (define @t3671 () (tptp.class_Groups_Ocomm__monoid__mult @t2989)) % 6.71/6.98 (define @t3672 () (= (tptp.hAPP @t3670 @t20) (tptp.hAPP (tptp.hAPP @t3668 @t1) @t21))) % 6.71/6.98 (define @t3673 () (tptp.c_If @t10)) % 6.71/6.98 (define @t3674 () (tptp.tc_fun @t10 @t3362)) % 6.71/6.98 (define @t3675 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t3674 tptp.tc_Int_Oint) @t3673)) % 6.71/6.98 (define @t3676 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t10 @t3362) (tptp.hAPP @t3675 tptp.c_Nat__Numeral_Oneg))) % 6.71/6.98 (define @t3677 () (tptp.c_COMBS tptp.tc_Int_Oint @t10 @t10)) % 6.71/6.98 (define @t3678 () (tptp.hAPP @t3677 (tptp.hAPP @t3676 @t173))) % 6.71/6.98 (define @t3679 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t10)) % 6.71/6.98 (define @t3680 () (tptp.hAPP @t3679 @t2593)) % 6.71/6.98 (define @t3681 () (@list @t1961 @t2 @t173 @t10)) % 6.71/6.98 (define @t3682 () (tptp.hAPP @t1861 @t2616)) % 6.71/6.98 (define @t3683 () (tptp.hAPP @t1019 @t1259)) % 6.71/6.98 (define @t3684 () (tptp.hAPP @t1019 (tptp.hAPP @t1745 @t1322))) % 6.71/6.98 (define @t3685 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 6.71/6.98 (define @t3686 () (tptp.c_COMBB @t10 @t3362 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3687 () (tptp.hAPP (tptp.hAPP @t2935 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t3686 @t807) @t2)) (tptp.hAPP @t3347 (tptp.hAPP @t3324 @t1243)))) @t666)) % 6.71/6.98 (define @t3688 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3689 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3690 () (tptp.hAPP @t3689 tptp.c_Nat_OSuc)) % 6.71/6.98 (define @t3691 () (tptp.hAPP @t3631 (tptp.hAPP @t3630 @t116))) % 6.71/6.98 (define @t3692 () (tptp.hAPP @t3634 @t2593)) % 6.71/6.98 (define @t3693 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3694 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3695 () (tptp.hAPP (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3693 @t1248) tptp.c_Int_Onat)) @t115)) % 6.71/6.98 (define @t3696 () (tptp.hAPP (tptp.hAPP @t1248 @t2236) @t115)) % 6.71/6.98 (define @t3697 () (@list @t115 @t1961 @t2 @t173 @t10)) % 6.71/6.98 (define @t3698 () (tptp.hAPP @t3598 @t3682)) % 6.71/6.98 (define @t3699 () (tptp.hBOOL (tptp.hAPP @t1592 @t2622))) % 6.71/6.98 (define @t3700 () (not @t3699)) % 6.71/6.98 (define @t3701 () (tptp.c_COMBB @t10 @t3362 @t10)) % 6.71/6.98 (define @t3702 () (tptp.hAPP @t3701 @t1019)) % 6.71/6.98 (define @t3703 () (tptp.hAPP @t1960 @t728)) % 6.71/6.98 (define @t3704 () (tptp.hAPP @t3602 @t291)) % 6.71/6.98 (define @t3705 () (tptp.hAPP (tptp.hAPP @t2852 (tptp.hAPP @t3585 @t291)) @t728)) % 6.71/6.98 (define @t3706 () (tptp.hAPP @t3323 @t911)) % 6.71/6.98 (define @t3707 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3706 @t291)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t51) @t97))) % 6.71/6.98 (define @t3708 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t291) @t97))) % 6.71/6.98 (define @t3709 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t41 @t10 @t1) @t2075)) % 6.71/6.98 (define @t3710 () (tptp.hAPP @t2541 @t21)) % 6.71/6.98 (define @t3711 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2075 @t21)) % 6.71/6.98 (define @t3712 () (@list @t1 @t2075 @t21 @t10 @t41)) % 6.71/6.98 (define @t3713 () (tptp.hAPP @t3607 @t3682)) % 6.71/6.98 (define @t3714 () (tptp.c_COMBB tptp.tc_Int_Oint @t3191 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3715 () (tptp.c_Divides_Oadjust @t85)) % 6.71/6.98 (define @t3716 () (tptp.c_Divides_OnegDivAlg @t81 @t85)) % 6.71/6.98 (define @t3717 () (= @t3716 (tptp.hAPP @t3715 (tptp.c_Divides_OnegDivAlg @t81 @t2659)))) % 6.71/6.98 (define @t3718 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t85) @t1508))) % 6.71/6.98 (define @t3719 () (tptp.hBOOL (tptp.hAPP @t1592 @t2041))) % 6.71/6.98 (define @t3720 () (or @t3719 @t3718)) % 6.71/6.98 (define @t3721 () (= @t3716 (tptp.hAPP @t3199 @t2041))) % 6.71/6.98 (define @t3722 () (tptp.hAPP @t1248 @t173)) % 6.71/6.98 (define @t3723 () (tptp.hAPP (tptp.c_Set_Oimage @t2989 @t10 @t1) @t21)) % 6.71/6.98 (define @t3724 () (tptp.hBOOL (tptp.hAPP @t797 (tptp.hAPP @t818 @t3723)))) % 6.71/6.98 (define @t3725 () (tptp.c_Fun_Oinj__on @t2989 @t10 @t1 @t21)) % 6.71/6.98 (define @t3726 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t3723)) % 6.71/6.98 (define @t3727 () (@list @t51 @t21 @t1 @t2989 @t2 @t41 @t10)) % 6.71/6.98 (define @t3728 () (tptp.hAPP @t3625 @t3682)) % 6.71/6.98 (define @t3729 () (tptp.hAPP @t2648 @t1880)) % 6.71/6.98 (define @t3730 () (tptp.c_Divides_Oadjust @t1880)) % 6.71/6.98 (define @t3731 () (tptp.c_Divides_OnegDivAlg @t2118 @t1880)) % 6.71/6.98 (define @t3732 () (tptp.hAPP (tptp.hAPP @t1549 @t2118) @t1880)) % 6.71/6.98 (define @t3733 () (tptp.hBOOL (tptp.hAPP @t1592 @t3732))) % 6.71/6.98 (define @t3734 () (tptp.hBOOL (tptp.hAPP @t1530 @t1880))) % 6.71/6.98 (define @t3735 () (tptp.hAPP (tptp.hAPP @t911 @t2236) @t2235)) % 6.71/6.98 (define @t3736 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2231) tptp.c_Int_OPls))) % 6.71/6.98 (define @t3737 () (tptp.tc_fun tptp.tc_Int_Oint @t3643)) % 6.71/6.98 (define @t3738 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3737 tptp.tc_Int_Oint) @t3198)) % 6.71/6.98 (define @t3739 () (tptp.c_Nitpick_Onorm__frac @t173 @t248)) % 6.71/6.98 (define @t3740 () (or (= @t173 @t1508) (= @t248 @t1508))) % 6.71/6.98 (define @t3741 () (tptp.hAPP @t3198 @t1508)) % 6.71/6.98 (define @t3742 () (tptp.hAPP @t3741 @t1538)) % 6.71/6.98 (define @t3743 () (tptp.hAPP @t1519 @t173)) % 6.71/6.98 (define @t3744 () (and (=> @t2346 (= @t3739 (tptp.c_Nitpick_Onorm__frac @t3743 (tptp.hAPP @t1519 @t248)))) (=> (not @t2346) (and (=> @t3740 (= @t3739 @t3742)) (=> (not @t3740) (= @t3739 (tptp.hAPP (tptp.hAPP @t3648 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t173) @t248)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t3643) (tptp.hAPP @t3738 @t2339)) (tptp.hAPP @t2312 @t248))))))))) % 6.71/6.98 (define @t3745 () (tptp.c_Divides_OposDivAlg @t1538 @t2118)) % 6.71/6.98 (define @t3746 () (tptp.hBOOL (tptp.hAPP @t1818 @t2118))) % 6.71/6.98 (define @t3747 () (tptp.c_Divides_OposDivAlg @t81 @t85)) % 6.71/6.98 (define @t3748 () (= @t3747 (tptp.hAPP @t3715 (tptp.c_Divides_OposDivAlg @t81 @t2659)))) % 6.71/6.98 (define @t3749 () (or @t2027 @t3718)) % 6.71/6.98 (define @t3750 () (= @t3747 (tptp.hAPP @t3741 @t81))) % 6.71/6.98 (define @t3751 () (tptp.hAPP (tptp.hAPP @t3618 @t1514) @t248)) % 6.71/6.98 (define @t3752 () (tptp.hAPP @t3714 @t1549)) % 6.71/6.98 (define @t3753 () (tptp.hAPP (tptp.c_COMBB @t3737 (tptp.tc_fun @t3191 @t3737) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t3643 tptp.tc_Int_Oint))) % 6.71/6.98 (define @t3754 () (tptp.c_COMBC tptp.tc_Int_Oint @t3191 @t3737)) % 6.71/6.98 (define @t3755 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3756 () (tptp.tc_fun tptp.tc_Int_Oint @t3645)) % 6.71/6.98 (define @t3757 () (tptp.hAPP (tptp.c_COMBB @t3756 (tptp.tc_fun @t3737 @t3737) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t3643 @t3643))) % 6.71/6.98 (define @t3758 () (tptp.c_COMBS tptp.tc_Int_Oint @t3737 @t3737)) % 6.71/6.98 (define @t3759 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t3643)) % 6.71/6.98 (define @t3760 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3315 @t21) @t20) @t51) @t97))) % 6.71/6.98 (define @t3761 () (tptp.hBOOL (tptp.hAPP @t313 @t97))) % 6.71/6.98 (define @t3762 () (tptp.hBOOL (tptp.hAPP @t315 @t97))) % 6.71/6.98 (define @t3763 () (not @t3762)) % 6.71/6.98 (define @t3764 () (@list @t97 @t51 @t20 @t21 @t41 @t10)) % 6.71/6.98 (define @t3765 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3346 @t21) @t20) @t51) @t97))) % 6.71/6.98 (define @t3766 () (tptp.hBOOL (tptp.hAPP @t3455 @t291))) % 6.71/6.98 (define @t3767 () (forall @t7 (=> @t250 @t3766))) % 6.71/6.98 (define @t3768 () (@list @t291 @t248 @t20 @t21 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3769 () (tptp.hBOOL (tptp.hAPP @t58 @t97))) % 6.71/6.98 (define @t3770 () (tptp.hBOOL (tptp.hAPP @t62 @t97))) % 6.71/6.98 (define @t3771 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 @t60) @t57))) % 6.71/6.98 (define @t3772 () (tptp.tc_prod @t10 @t10)) % 6.71/6.98 (define @t3773 () (tptp.tc_fun @t3772 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3774 () (tptp.c_Orderings_Oord__class_Oless__eq @t3773)) % 6.71/6.98 (define @t3775 () (tptp.c_Orderings_Obot__class_Obot @t3773)) % 6.71/6.98 (define @t3776 () (tptp.hAPP @t3741 @t1508)) % 6.71/6.98 (define @t3777 () (tptp.c_Divides_OposDivAlg @t2118 @t1880)) % 6.71/6.98 (define @t3778 () (tptp.hAPP @t1521 @t2118)) % 6.71/6.98 (define @t3779 () (tptp.hBOOL (tptp.hAPP @t3778 @t1880))) % 6.71/6.98 (define @t3780 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t2989)) % 6.71/6.98 (define @t3781 () (tptp.hAPP @t3780 @t2)) % 6.71/6.98 (define @t3782 () (tptp.hAPP @t829 @t248)) % 6.71/6.98 (define @t3783 () (tptp.c_member @t2989)) % 6.71/6.98 (define @t3784 () (tptp.hAPP @t3303 @t173)) % 6.71/6.98 (define @t3785 () (tptp.hAPP @t3784 @t248)) % 6.71/6.98 (define @t3786 () (tptp.hAPP @t3306 @t3785)) % 6.71/6.98 (define @t3787 () (tptp.hAPP (tptp.hAPP @t3596 @t1313) @t3387)) % 6.71/6.98 (define @t3788 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3789 () (tptp.hAPP (tptp.hAPP @t3788 tptp.c_fequal) @t1508)) % 6.71/6.98 (define @t3790 () (tptp.tc_fun @t3362 @t10)) % 6.71/6.98 (define @t3791 () (tptp.tc_fun tptp.tc_Int_Oint @t10)) % 6.71/6.98 (define @t3792 () (tptp.tc_fun tptp.tc_Int_Oint @t3362)) % 6.71/6.98 (define @t3793 () (tptp.hAPP @t1837 @t151)) % 6.71/6.98 (define @t3794 () (not @t2051)) % 6.71/6.98 (define @t3795 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3796 () (tptp.hAPP (tptp.hAPP @t287 @t173) @t248)) % 6.71/6.98 (define @t3797 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3795 @t2) @t3785))) % 6.71/6.98 (define @t3798 () (tptp.hBOOL @t3782)) % 6.71/6.98 (define @t3799 () (tptp.hAPP (tptp.hAPP @t3489 @t173) @t248)) % 6.71/6.98 (define @t3800 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t2989 @t23) @t291)) % 6.71/6.98 (define @t3801 () (tptp.hAPP (tptp.hAPP @t291 @t173) @t248)) % 6.71/6.98 (define @t3802 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t3215)) % 6.71/6.98 (define @t3803 () (@list @t248 @t173 @t2 @t41 @t10)) % 6.71/6.98 (define @t3804 () (tptp.c_Product__Type_OPair @t31 @t10)) % 6.71/6.98 (define @t3805 () (tptp.hAPP (tptp.hAPP @t3804 @t81) @t85)) % 6.71/6.98 (define @t3806 () (tptp.hAPP (tptp.hAPP @t3303 @t3429) @t3428)) % 6.71/6.98 (define @t3807 () (tptp.hAPP (tptp.hAPP @t3303 @t1231) @t893)) % 6.71/6.98 (define @t3808 () (@list @t1231 @t893)) % 6.71/6.98 (define @t3809 () (tptp.hAPP @t3780 @t291)) % 6.71/6.98 (define @t3810 () (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t2989 @t10)) % 6.71/6.98 (define @t3811 () (tptp.hAPP @t3810 @t2)) % 6.71/6.98 (define @t3812 () (@list @t248 @t173 @t2 @t10 @t2989 @t41)) % 6.71/6.98 (define @t3813 () (@list @t248 @t173 @t287 @t10 @t2989 @t41)) % 6.71/6.98 (define @t3814 () (tptp.tc_fun @t41 @t2989)) % 6.71/6.98 (define @t3815 () (@list @t2 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3816 () (tptp.c_Product__Type_OPair @t41 @t10)) % 6.71/6.98 (define @t3817 () (tptp.tc_prod @t41 @t10)) % 6.71/6.98 (define @t3818 () (tptp.hAPP (tptp.c_COMBC @t41 @t10 @t3817) @t3816)) % 6.71/6.98 (define @t3819 () (tptp.tc_fun tptp.tc_Int_Oint @t1589)) % 6.71/6.98 (define @t3820 () (tptp.c_COMBB @t1589 @t1589 tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3821 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t3822 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t176 @t193)) % 6.71/6.98 (define @t3823 () (tptp.hAPP (tptp.hAPP @t2718 @t176) @t193)) % 6.71/6.98 (define @t3824 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t1936 @t1935))) % 6.71/6.98 (define @t3825 () (tptp.c_Divides_Odivmod__int @t81 @t85)) % 6.71/6.98 (define @t3826 () (not @t1995)) % 6.71/6.98 (define @t3827 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1936 @t1935))) % 6.71/6.98 (define @t3828 () (tptp.hBOOL (tptp.hAPP @t1592 @t85))) % 6.71/6.98 (define @t3829 () (tptp.hAPP @t3198 @t1628)) % 6.71/6.98 (define @t3830 () (tptp.hAPP @t3829 @t1436)) % 6.71/6.98 (define @t3831 () (tptp.c_Product__Type_OPair @t10 @t10)) % 6.71/6.98 (define @t3832 () (tptp.hAPP @t3831 @t3)) % 6.71/6.98 (define @t3833 () (tptp.hAPP @t3832 @t3)) % 6.71/6.98 (define @t3834 () (tptp.c_member @t3772)) % 6.71/6.98 (define @t3835 () (tptp.hAPP @t3834 @t3833)) % 6.71/6.98 (define @t3836 () (tptp.hBOOL (tptp.hAPP @t3835 @t2727))) % 6.71/6.98 (define @t3837 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3838 () (tptp.c_Divides_Odivmod__nat @t193 @t176)) % 6.71/6.98 (define @t3839 () (tptp.c_Divides_Opdivmod @t151 @t227)) % 6.71/6.98 (define @t3840 () (tptp.hAPP (tptp.hAPP @t3759 (tptp.hAPP (tptp.hAPP @t3758 (tptp.hAPP @t3757 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3643 @t3756 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3643 @t3645) (tptp.hAPP @t3646 @t3789))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t3643) (tptp.hAPP @t3738 @t1519)) @t1508)))) (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 (tptp.hAPP @t3738 (tptp.hAPP (tptp.hAPP @t3618 (tptp.hAPP (tptp.hAPP @t3714 @t1514) @t1519)) @t1538)))) (tptp.hAPP @t1514 (tptp.hAPP @t1856 @t227))))) @t3839)) % 6.71/6.98 (define @t3841 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t227)) % 6.71/6.98 (define @t3842 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t1525 @t3841))) % 6.71/6.98 (define @t3843 () (tptp.c_Divides_Odivmod__int @t151 @t227)) % 6.71/6.98 (define @t3844 () (= @t227 @t1508)) % 6.71/6.98 (define @t3845 () (not @t3844)) % 6.71/6.98 (define @t3846 () (=> @t3844 (= @t3843 (tptp.hAPP @t3741 @t151)))) % 6.71/6.98 (define @t3847 () (=> @t2051 (= @t3843 @t3776))) % 6.71/6.98 (define @t3848 () (tptp.c_Product__Type_OPair @t10 @t2989)) % 6.71/6.98 (define @t3849 () (tptp.hAPP (tptp.hAPP @t3848 @t51) @t97)) % 6.71/6.98 (define @t3850 () (tptp.c_Product__Type_Oapsnd @t2989 @t41 @t10 @t2)) % 6.71/6.98 (define @t3851 () (@list @t51 @t1 @t3425 @t2 @t10 @t41 @t2989)) % 6.71/6.98 (define @t3852 () (tptp.hAPP @t3837 @t890)) % 6.71/6.98 (define @t3853 () (tptp.hAPP @t3852 @t193)) % 6.71/6.98 (define @t3854 () (tptp.hAPP (tptp.hAPP @t3837 @t2413) @t2109)) % 6.71/6.98 (define @t3855 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3856 () (tptp.tc_fun tptp.tc_Nat_Onat @t3855)) % 6.71/6.98 (define @t3857 () (tptp.c_Divides_Odivmod__nat @t181 @t115)) % 6.71/6.98 (define @t3858 () (or @t971 @t720)) % 6.71/6.98 (define @t3859 () (tptp.hAPP @t1856 @t943)) % 6.71/6.98 (define @t3860 () (tptp.hAPP @t1856 @t208)) % 6.71/6.98 (define @t3861 () (tptp.c_Divides_Opdivmod @t208 @t943)) % 6.71/6.98 (define @t3862 () (= @t943 @t1508)) % 6.71/6.98 (define @t3863 () (tptp.c_Nat_Onat_Onat__rec @t10 @t173 @t2)) % 6.71/6.98 (define @t3864 () (tptp.hAPP @t3558 @t3863)) % 6.71/6.98 (define @t3865 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3362 tptp.tc_Int_Oint) @t2)) % 6.71/6.98 (define @t3866 () (tptp.hAPP (tptp.hAPP @t3837 @t1628) @t1436)) % 6.71/6.98 (define @t3867 () (@list @t82 @t1436 @t1628 @t85 @t81)) % 6.71/6.98 (define @t3868 () (tptp.hAPP @t2441 @t1436)) % 6.71/6.98 (define @t3869 () (tptp.c_Divides_Odivmod__nat__rel @t85 @t82)) % 6.71/6.98 (define @t3870 () (@list @t81 @t1436 @t1628 @t82 @t85)) % 6.71/6.98 (define @t3871 () (@var "V_qr_H" $$unsorted)) % 6.71/6.98 (define @t3872 () (@var "V_qr" $$unsorted)) % 6.71/6.98 (define @t3873 () (tptp.c_Divides_Odivmod__nat__rel @t193 @t176)) % 6.71/6.98 (define @t3874 () (tptp.hBOOL (tptp.hAPP @t3873 @t3872))) % 6.71/6.98 (define @t3875 () (tptp.c_Nat_Onat_Onat__rec @t10 @t287 @t285)) % 6.71/6.98 (define @t3876 () (tptp.hBOOL (tptp.hAPP @t3873 @t3866))) % 6.71/6.98 (define @t3877 () (@list @t1436 @t1628 @t176 @t193)) % 6.71/6.98 (define @t3878 () (@var "V_br" $$unsorted)) % 6.71/6.98 (define @t3879 () (@var "V_ar" $$unsorted)) % 6.71/6.98 (define @t3880 () (tptp.hAPP (tptp.hAPP @t1248 @t3879) @t3878)) % 6.71/6.98 (define @t3881 () (@var "V_bq" $$unsorted)) % 6.71/6.98 (define @t3882 () (@var "V_aq" $$unsorted)) % 6.71/6.98 (define @t3883 () (@list @t3878 @t3881 @t85 @t3879 @t3882 @t82 @t81)) % 6.71/6.98 (define @t3884 () (@list @t85 @t81 @t10 @t31)) % 6.71/6.98 (define @t3885 () (tptp.c_Nitpick_Opair__box_OPairBox @t41 @t2989 @t173 @t248)) % 6.71/6.98 (define @t3886 () (tptp.hAPP @t2648 @t248)) % 6.71/6.98 (define @t3887 () (tptp.c_Divides_OnegDivAlg @t173 @t248)) % 6.71/6.98 (define @t3888 () (tptp.hBOOL (tptp.hAPP @t2371 @t1508))) % 6.71/6.98 (define @t3889 () (tptp.hAPP @t3190 @t248)) % 6.71/6.98 (define @t3890 () (or (tptp.hBOOL (tptp.hAPP @t1592 @t3889)) @t3888)) % 6.71/6.98 (define @t3891 () (tptp.hAPP (tptp.hAPP @t3198 @t173) @t248)) % 6.71/6.98 (define @t3892 () (tptp.c_Wellfounded_Oaccp @t3643 tptp.c_Divides_OnegDivAlg__rel)) % 6.71/6.98 (define @t3893 () (tptp.c_Divides_Odivmod__int__rel @t81 @t85)) % 6.71/6.98 (define @t3894 () (tptp.hBOOL (tptp.hAPP @t3893 @t3830))) % 6.71/6.98 (define @t3895 () (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3198 @t1637) @t1640)))) % 6.71/6.98 (define @t3896 () (@list @t1640 @t1637 @t1436 @t1628 @t85 @t81)) % 6.71/6.98 (define @t3897 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t81) @t3830))) % 6.71/6.98 (define @t3898 () (@list @t1436 @t1628 @t81)) % 6.71/6.98 (define @t3899 () (@list @t1436 @t1628 @t85 @t81)) % 6.71/6.98 (define @t3900 () (tptp.hAPP (tptp.hAPP @t1549 @t3879) @t3878)) % 6.71/6.98 (define @t3901 () (not (= @t82 @t1508))) % 6.71/6.98 (define @t3902 () (tptp.c_Divides_Odivmod__int__rel @t85 @t82)) % 6.71/6.98 (define @t3903 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2727) @t1508))) % 6.71/6.98 (define @t3904 () (tptp.hAPP @t1519 @t2453)) % 6.71/6.98 (define @t3905 () (tptp.c_Divides_Odivmod__int__rel @t173 @t248)) % 6.71/6.98 (define @t3906 () (tptp.hAPP @t1631 @t1436)) % 6.71/6.98 (define @t3907 () (tptp.hAPP @t3660 (tptp.hAPP @t3662 @t1592))) % 6.71/6.98 (define @t3908 () (tptp.tc_fun tptp.tc_Int_Oint @t2687)) % 6.71/6.98 (define @t3909 () (tptp.tc_fun @t1589 @t1589)) % 6.71/6.98 (define @t3910 () (tptp.c_Divides_OposDivAlg @t173 @t248)) % 6.71/6.98 (define @t3911 () (or (tptp.hBOOL (tptp.hAPP @t2338 @t248)) @t3888)) % 6.71/6.98 (define @t3912 () (tptp.c_Wellfounded_Oaccp @t3643 tptp.c_Divides_OposDivAlg__rel)) % 6.71/6.98 (define @t3913 () (tptp.c_Wellfounded_Oaccp @t3643 tptp.c_Nitpick_Onorm__frac__rel)) % 6.71/6.98 (define @t3914 () (@var "V_a0_2" $$unsorted)) % 6.71/6.98 (define @t3915 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t3914) @t938))) % 6.71/6.98 (define @t3916 () (tptp.hAPP @t60 @t1231)) % 6.71/6.98 (define @t3917 () (tptp.hBOOL (tptp.hAPP @t3916 @t893))) % 6.71/6.98 (define @t3918 () (tptp.hBOOL (tptp.hAPP @t3916 (tptp.hAPP @t2648 @t893)))) % 6.71/6.98 (define @t3919 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t893) @t1508))) % 6.71/6.98 (define @t3920 () (tptp.hAPP (tptp.hAPP @t3198 @t1231) @t893)) % 6.71/6.98 (define @t3921 () (tptp.hAPP (tptp.hAPP @t3198 @t3914) @t938)) % 6.71/6.98 (define @t3922 () (@list @t60 @t938 @t3914)) % 6.71/6.98 (define @t3923 () (@var "V_R1_2" $$unsorted)) % 6.71/6.98 (define @t3924 () (@var "V_R2_2" $$unsorted)) % 6.71/6.98 (define @t3925 () (tptp.tc_fun @t10 @t23)) % 6.71/6.98 (define @t3926 () (tptp.c_Orderings_Oord__class_Oless__eq @t3925)) % 6.71/6.98 (define @t3927 () (@list @t3924 @t3923 @t10)) % 6.71/6.98 (define @t3928 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t10) tptp.c_Int_Onat) @t2)) % 6.71/6.98 (define @t3929 () (forall @t7 (=> @t250 (tptp.c_Nat__Transfer_Ois__nat @t5)))) % 6.71/6.98 (define @t3930 () (tptp.c_Wellfounded_Oaccp @t10 @t2727)) % 6.71/6.98 (define @t3931 () (tptp.hAPP @t2727 @t3)) % 6.71/6.98 (define @t3932 () (tptp.hBOOL (tptp.hAPP @t3930 @t173))) % 6.71/6.98 (define @t3933 () (@list @t173 @t2727 @t10)) % 6.71/6.98 (define @t3934 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2727 @t173) @t248))) % 6.71/6.98 (define @t3935 () (tptp.c_Nitpick_Onat__gcd @t51 @t97)) % 6.71/6.98 (define @t3936 () (= @t97 @t890)) % 6.71/6.98 (define @t3937 () (tptp.hAPP (tptp.hAPP @t3837 @t51) @t97)) % 6.71/6.98 (define @t3938 () (tptp.c_Wellfounded_Oaccp @t3855 tptp.c_Nitpick_Onat__gcd__rel)) % 6.71/6.98 (define @t3939 () (@var "V_nat" $$unsorted)) % 6.71/6.98 (define @t3940 () (tptp.hAPP tptp.c_Nat_OSuc @t3939)) % 6.71/6.98 (define @t3941 () (@list @t3939)) % 6.71/6.98 (define @t3942 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1819 @t2121))) % 6.71/6.98 (define @t3943 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3944 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1538 @t2118)) % 6.71/6.98 (define @t3945 () (tptp.hBOOL (tptp.hAPP @t3778 @t1508))) % 6.71/6.98 (define @t3946 () (tptp.c_Product__Type_Osnd @t41 @t2989)) % 6.71/6.98 (define @t3947 () (tptp.hAPP @t3946 @t51)) % 6.71/6.98 (define @t3948 () (tptp.c_Product__Type_Osnd @t41 @t10)) % 6.71/6.98 (define @t3949 () (@list @t51 @t2 @t2989 @t10 @t41)) % 6.71/6.98 (define @t3950 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t10 @t2989) @t51)) % 6.71/6.98 (define @t3951 () (tptp.hAPP @t3850 @t51)) % 6.71/6.98 (define @t3952 () (tptp.hAPP @t3948 @t2934)) % 6.71/6.98 (define @t3953 () (tptp.c_Product__Type_OPair @t10 @t31)) % 6.71/6.98 (define @t3954 () (tptp.c_Product__Type_Osnd @t10 @t31)) % 6.71/6.98 (define @t3955 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t53) @t117))) % 6.71/6.98 (define @t3956 () (tptp.c_Wellfounded_Omeasure @t10)) % 6.71/6.98 (define @t3957 () (tptp.hAPP @t3956 @t2)) % 6.71/6.98 (define @t3958 () (tptp.hAPP @t3831 @t51)) % 6.71/6.98 (define @t3959 () (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t97))) % 6.71/6.98 (define @t3960 () (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t2194) @t53)) % 6.71/6.98 (define @t3961 () (tptp.c_Finite__Set_Ofolding @t10 @t41 @t2 @t791)) % 6.71/6.98 (define @t3962 () (@list @t51 @t21 @t791 @t2 @t41 @t10)) % 6.71/6.98 (define @t3963 () (tptp.c_Fun_Ocomp @t41 @t41 @t2989 @t117)) % 6.71/6.98 (define @t3964 () (tptp.c_Fun_Ocomp @t41 @t41 @t2989 @t53)) % 6.71/6.98 (define @t3965 () (tptp.hAPP @t3964 @t1)) % 6.71/6.98 (define @t3966 () (@var "T_g" $$unsorted)) % 6.71/6.98 (define @t3967 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t3968 () (tptp.c_Fun_Ocomp @t41 @t41 @t2989 @t2215)) % 6.71/6.98 (define @t3969 () (tptp.c_Fun_Ocomp @t41 @t41 @t2989 @t2196)) % 6.71/6.98 (define @t3970 () (tptp.hAPP @t3969 @t1)) % 6.71/6.98 (define @t3971 () (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t2196)) % 6.71/6.98 (define @t3972 () (tptp.hAPP @t3971 @t2215)) % 6.71/6.98 (define @t3973 () (@list @t20 @t21 @t791 @t2 @t41 @t10)) % 6.71/6.98 (define @t3974 () (tptp.hAPP @t3971 @t53)) % 6.71/6.98 (define @t3975 () (@var "V_s_2" $$unsorted)) % 6.71/6.98 (define @t3976 () (= @t2253 @t3974)) % 6.71/6.98 (define @t3977 () (= @t2218 @t3972)) % 6.71/6.98 (define @t3978 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t3979 () (tptp.hAPP @t2404 @t2118)) % 6.71/6.98 (define @t3980 () (tptp.tc_fun @t757 @t757)) % 6.71/6.98 (define @t3981 () (tptp.tc_fun tptp.tc_Nat_Onat @t3980)) % 6.71/6.98 (define @t3982 () (tptp.tc_fun tptp.tc_Nat_Onat @t757)) % 6.71/6.98 (define @t3983 () (tptp.hAPP tptp.c_Int_ORep__Integ @t513)) % 6.71/6.98 (define @t3984 () (tptp.c_Product__Type_Osnd @t10 @t41)) % 6.71/6.98 (define @t3985 () (tptp.c_Product__Type_Ofst @t10 @t41)) % 6.71/6.98 (define @t3986 () (tptp.c_Product__Type_Osnd @t31 @t10)) % 6.71/6.98 (define @t3987 () (tptp.hAPP @t3986 @t2417)) % 6.71/6.98 (define @t3988 () (tptp.c_Product__Type_Ofst @t31 @t10)) % 6.71/6.98 (define @t3989 () (tptp.hAPP @t3988 @t2417)) % 6.71/6.98 (define @t3990 () (@list @t51 @t2 @t2989 @t41 @t10)) % 6.71/6.98 (define @t3991 () (tptp.hAPP @t3985 @t2934)) % 6.71/6.98 (define @t3992 () (tptp.hAPP tptp.c_Int_ORep__Integ @t51)) % 6.71/6.98 (define @t3993 () (tptp.hAPP (tptp.hAPP @t3804 @t30) @t64)) % 6.71/6.98 (define @t3994 () (tptp.hAPP @t3946 @t2934)) % 6.71/6.98 (define @t3995 () (tptp.c_Product__Type_Ofst @t41 @t2989)) % 6.71/6.98 (define @t3996 () (tptp.hAPP @t3995 @t2934)) % 6.71/6.98 (define @t3997 () (tptp.hAPP @t3816 @t51)) % 6.71/6.98 (define @t3998 () (tptp.hAPP @t3997 @t97)) % 6.71/6.98 (define @t3999 () (tptp.c_Product__Type_Ofst @t41 @t10)) % 6.71/6.98 (define @t4000 () (tptp.hAPP @t60 @t97)) % 6.71/6.98 (define @t4001 () (tptp.hAPP (tptp.hAPP @t3303 @t2934) @t2453)) % 6.71/6.98 (define @t4002 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t4003 () (@var "V_qr_2" $$unsorted)) % 6.71/6.98 (define @t4004 () (tptp.hAPP @t3967 @t4003)) % 6.71/6.98 (define @t4005 () (tptp.hAPP @t4002 @t4003)) % 6.71/6.98 (define @t4006 () (tptp.c_Divides_Odivmod__nat__rel @t181 @t115)) % 6.71/6.98 (define @t4007 () (tptp.hAPP @t3566 @t20)) % 6.71/6.98 (define @t4008 () (tptp.hAPP @t24 @t3567)) % 6.71/6.98 (define @t4009 () (tptp.hAPP (tptp.hAPP @t3322 (tptp.hAPP @t999 (tptp.hAPP (tptp.hAPP @t1248 @t36) @t151))) @t20)) % 6.71/6.98 (define @t4010 () (tptp.hAPP (tptp.hAPP @t3322 (tptp.hAPP @t999 @t36)) @t21)) % 6.71/6.98 (define @t4011 () (tptp.hAPP @t24 @t4010)) % 6.71/6.98 (define @t4012 () (@list @t20 @t151 @t21 @t10)) % 6.71/6.98 (define @t4013 () (tptp.hAPP @t60 @t282)) % 6.71/6.98 (define @t4014 () (tptp.hAPP (tptp.hAPP @t3837 @t3) @t282)) % 6.71/6.98 (define @t4015 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t4016 () (tptp.hAPP @t3000 @t2721)) % 6.71/6.98 (define @t4017 () (tptp.c_Wellfounded_Omlex__prod @t10 @t2 @t3274)) % 6.71/6.98 (define @t4018 () (tptp.hBOOL (tptp.hAPP @t3959 @t4017))) % 6.71/6.98 (define @t4019 () (tptp.hBOOL (tptp.hAPP @t3959 @t3274))) % 6.71/6.98 (define @t4020 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t53) @t117))) % 6.71/6.98 (define @t4021 () (@list @t3274 @t10 @t97 @t51 @t2)) % 6.71/6.98 (define @t4022 () (tptp.hAPP @t818 @t728)) % 6.71/6.98 (define @t4023 () (tptp.hBOOL (tptp.hAPP @t249 @t408))) % 6.71/6.98 (define @t4024 () (tptp.c_Orderings_Oord__class_OLeast @t10 @t60)) % 6.71/6.98 (define @t4025 () (tptp.hBOOL (tptp.hAPP @t60 @t4024))) % 6.71/6.98 (define @t4026 () (tptp.class_Orderings_Owellorder @t10)) % 6.71/6.98 (define @t4027 () (@list @t60 @t10)) % 6.71/6.98 (define @t4028 () (tptp.hBOOL (tptp.hAPP @t60 @t151))) % 6.71/6.98 (define @t4029 () (@list @t151 @t60 @t10)) % 6.71/6.98 (define @t4030 () (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t60)) % 6.71/6.98 (define @t4031 () (tptp.c_Finite__Set_Ofolding__image @t10 @t41 @t2 @t513 @t791)) % 6.71/6.98 (define @t4032 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t4033 () (tptp.hAPP (tptp.hAPP @t791 @t2075) @t21)) % 6.71/6.98 (define @t4034 () (@list @t2075 @t1 @t21 @t791 @t513 @t2 @t41 @t10)) % 6.71/6.98 (define @t4035 () (= @t5 @t283)) % 6.71/6.98 (define @t4036 () (= @t3 @t282)) % 6.71/6.98 (define @t4037 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2989 @t393) @t21)) % 6.71/6.98 (define @t4038 () (= (tptp.hAPP @t818 (tptp.hAPP @t3395 @t20)) (tptp.hAPP @t4037 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t393 @t2989) @t818) @t20)))) % 6.71/6.98 (define @t4039 () (tptp.c_Product__Type_OPair @t41 @t41)) % 6.71/6.98 (define @t4040 () (tptp.tc_prod @t41 @t41)) % 6.71/6.98 (define @t4041 () (tptp.c_member @t4040)) % 6.71/6.98 (define @t4042 () (tptp.hAPP @t3831 @t173)) % 6.71/6.98 (define @t4043 () (tptp.c_Product__Type_OPair @t2097 @t2097)) % 6.71/6.98 (define @t4044 () (tptp.c_member (tptp.tc_prod @t2097 @t2097))) % 6.71/6.98 (define @t4045 () (tptp.c_Wellfounded_Ofinite__psubset @t10)) % 6.71/6.98 (define @t4046 () (tptp.c_Product__Type_OPair @t23 @t23)) % 6.71/6.98 (define @t4047 () (tptp.tc_prod @t23 @t23)) % 6.71/6.98 (define @t4048 () (tptp.c_member @t4047)) % 6.71/6.98 (define @t4049 () (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t21) @t20))) % 6.71/6.98 (define @t4050 () (tptp.c_Recdef_Osame__fst @t10 @t41 @t60 @t3274)) % 6.71/6.98 (define @t4051 () (@var "V_y_H_2" $$unsorted)) % 6.71/6.98 (define @t4052 () (tptp.hAPP @t3274 @t51)) % 6.71/6.98 (define @t4053 () (tptp.c_Finite__Set_Ofolding__idem @t10 @t41 @t2 @t791)) % 6.71/6.98 (define @t4054 () (tptp.hAPP @t2 @t220)) % 6.71/6.98 (define @t4055 () (tptp.hBOOL (tptp.hAPP @t439 @t3975))) % 6.71/6.98 (define @t4056 () (tptp.hAPP @t2915 @t3975)) % 6.71/6.98 (define @t4057 () (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t2979 @t3975)) (tptp.hBOOL (tptp.hAPP @t2976 @t2316))))) % 6.71/6.98 (define @t4058 () (tptp.hBOOL (tptp.hAPP @t2063 @t3975))) % 6.71/6.98 (define @t4059 () (tptp.class_Groups_Oordered__ab__group__add @t41)) % 6.71/6.98 (define @t4060 () (tptp.hAPP @t57 @t3)) % 6.71/6.98 (define @t4061 () (tptp.c_Product__Type_Osnd @t3425 @t2989)) % 6.71/6.98 (define @t4062 () (tptp.c_Product__Type_Oapfst @t3425 @t10 @t2989 @t1)) % 6.71/6.98 (define @t4063 () (tptp.c_Product__Type_Osnd @t2989 @t3425)) % 6.71/6.98 (define @t4064 () (tptp.hAPP @t1 (tptp.hAPP @t4063 @t51))) % 6.71/6.98 (define @t4065 () (tptp.c_Product__Type_Ofst @t2989 @t3425)) % 6.71/6.98 (define @t4066 () (tptp.hAPP @t2 (tptp.hAPP @t4065 @t51))) % 6.71/6.98 (define @t4067 () (tptp.c_Product__Type_Oapfst @t2989 @t10 @t41 @t2)) % 6.71/6.98 (define @t4068 () (@list @t51 @t1 @t3425 @t2 @t41 @t10 @t2989)) % 6.71/6.98 (define @t4069 () (tptp.c_Product__Type_OPair @t3855 @t3855)) % 6.71/6.98 (define @t4070 () (tptp.tc_prod @t3855 @t3855)) % 6.71/6.98 (define @t4071 () (tptp.c_member @t4070)) % 6.71/6.98 (define @t4072 () (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4069 (tptp.hAPP (tptp.hAPP @t3837 @t173) @t3975)) (tptp.hAPP (tptp.hAPP @t3837 @t248) @t771)))) % 6.71/6.98 (define @t4073 () (tptp.hBOOL (tptp.hAPP @t4072 tptp.c_FunDef_Opair__less))) % 6.71/6.98 (define @t4074 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t173) @t248))) % 6.71/6.98 (define @t4075 () (@list @t771 @t3975 @t248 @t173)) % 6.71/6.98 (define @t4076 () (tptp.c_Product__Type_OPair @t2989 @t41)) % 6.71/6.98 (define @t4077 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t2989 @t41) @t51)) % 6.71/6.98 (define @t4078 () (tptp.hAPP @t2 @t4077)) % 6.71/6.98 (define @t4079 () (tptp.hAPP @t4067 @t51)) % 6.71/6.98 (define @t4080 () (tptp.hBOOL (tptp.hAPP @t4072 tptp.c_FunDef_Opair__leq))) % 6.71/6.98 (define @t4081 () (@var "V_YS_2" $$unsorted)) % 6.71/6.98 (define @t4082 () (tptp.c_Set_Oinsert @t3855)) % 6.71/6.98 (define @t4083 () (tptp.hAPP @t4082 @t97)) % 6.71/6.98 (define @t4084 () (@var "V_XS_2" $$unsorted)) % 6.71/6.98 (define @t4085 () (tptp.tc_fun @t3855 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4086 () (tptp.c_Product__Type_OPair @t4085 @t4085)) % 6.71/6.98 (define @t4087 () (tptp.hAPP @t4086 @t4084)) % 6.71/6.98 (define @t4088 () (tptp.tc_prod @t4085 @t4085)) % 6.71/6.98 (define @t4089 () (tptp.c_member @t4088)) % 6.71/6.98 (define @t4090 () (tptp.hAPP @t4089 (tptp.hAPP @t4087 (tptp.hAPP @t4083 @t4081)))) % 6.71/6.98 (define @t4091 () (tptp.hAPP @t4089 (tptp.hAPP @t4087 @t4081))) % 6.71/6.98 (define @t4092 () (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4069 @t51) @t97))) % 6.71/6.98 (define @t4093 () (tptp.hBOOL (tptp.hAPP @t4092 tptp.c_FunDef_Opair__less))) % 6.71/6.98 (define @t4094 () (tptp.c_member @t3855)) % 6.71/6.98 (define @t4095 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4094 @t51) @t4084))) % 6.71/6.98 (define @t4096 () (@list @t4081 @t97 @t4084 @t51)) % 6.71/6.98 (define @t4097 () (tptp.hAPP @t4082 @t51)) % 6.71/6.98 (define @t4098 () (tptp.hAPP @t4086 @t337)) % 6.71/6.98 (define @t4099 () (tptp.hAPP @t4094 @t97)) % 6.71/6.98 (define @t4100 () (tptp.c_Orderings_Obot__class_Obot @t4085)) % 6.71/6.98 (define @t4101 () (tptp.hAPP @t4086 @t4100)) % 6.71/6.98 (define @t4102 () (tptp.c_Finite__Set_Ofinite @t3855)) % 6.71/6.98 (define @t4103 () (tptp.hAPP @t4089 (tptp.hAPP @t4098 @t4100))) % 6.71/6.98 (define @t4104 () (@list @t337)) % 6.71/6.98 (define @t4105 () (tptp.hBOOL (tptp.hAPP @t4092 tptp.c_FunDef_Opair__leq))) % 6.71/6.98 (define @t4106 () (tptp.tc_fun @t4088 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4107 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4088) (tptp.hAPP @t4101 @t4100)) (tptp.c_Orderings_Obot__class_Obot @t4106))) % 6.71/6.98 (define @t4108 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4106)) % 6.71/6.98 (define @t4109 () (tptp.c_Product__Type_OPair @t4106 @t4106)) % 6.71/6.98 (define @t4110 () (tptp.c_Wellfounded_Omax__ext @t10 @t3274)) % 6.71/6.98 (define @t4111 () (@var "V_xa_2" $$unsorted)) % 6.71/6.98 (define @t4112 () (tptp.tc_fun @t3773 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4113 () (tptp.hAPP (tptp.c_COMBB @t3772 @t4112 @t10) @t3834)) % 6.71/6.98 (define @t4114 () (tptp.tc_fun @t10 @t4112)) % 6.71/6.98 (define @t4115 () (tptp.tc_fun @t10 @t3772)) % 6.71/6.98 (define @t4116 () (tptp.c_COMBC @t10 @t3773 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4117 () (tptp.hAPP (tptp.c_COMBC @t10 @t3773 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4114 (tptp.tc_fun @t3773 @t23) @t10) @t4116) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4115 @t4114 @t10) @t4113) @t3831)))) % 6.71/6.98 (define @t4118 () (tptp.hAPP (tptp.hAPP @t1248 @t261) @t97)) % 6.71/6.98 (define @t4119 () (tptp.hAPP @t1248 @t51)) % 6.71/6.98 (define @t4120 () (tptp.hAPP @t4119 @t1961)) % 6.71/6.98 (define @t4121 () (tptp.hAPP (tptp.hAPP @t3837 @t261) @t1961)) % 6.71/6.98 (define @t4122 () (@list @t1961 @t261 @t97 @t51)) % 6.71/6.98 (define @t4123 () (tptp.tc_prod tptp.tc_Nat_Onat @t10)) % 6.71/6.98 (define @t4124 () (tptp.c_FunDef_Orp__inv__image @t10 @t41)) % 6.71/6.98 (define @t4125 () (tptp.c_FunDef_Oreduction__pair @t10 @t60)) % 6.71/6.98 (define @t4126 () (@list @t2 @t41 @t60 @t10)) % 6.71/6.98 (define @t4127 () (tptp.c_Relation_Oinv__image @t10 @t41)) % 6.71/6.98 (define @t4128 () (tptp.tc_fun @t4040 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4129 () (tptp.tc_prod @t4128 @t4128)) % 6.71/6.98 (define @t4130 () (tptp.tc_fun @t4128 @t4129)) % 6.71/6.98 (define @t4131 () (tptp.tc_fun @t148 @t4130)) % 6.71/6.98 (define @t4132 () (tptp.tc_fun @t148 @t4128)) % 6.71/6.98 (define @t4133 () (tptp.tc_fun @t148 @t4129)) % 6.71/6.98 (define @t4134 () (tptp.tc_fun @t4132 @t4133)) % 6.71/6.98 (define @t4135 () (tptp.tc_fun @t3773 @t4133)) % 6.71/6.98 (define @t4136 () (tptp.tc_fun @t3773 @t4132)) % 6.71/6.98 (define @t4137 () (tptp.c_Relation_Oinv__image @t41 @t10)) % 6.71/6.98 (define @t4138 () (tptp.hAPP (tptp.hAPP @t4137 @t2727) @t2)) % 6.71/6.98 (define @t4139 () (tptp.c_Relation_OImage @t3855 @t3855 tptp.c_Int_Ointrel)) % 6.71/6.98 (define @t4140 () (forall @t7 (=> @t1687 @t6))) % 6.71/6.98 (define @t4141 () (@list @t1 @t2 @t20 @t21 @t10)) % 6.71/6.98 (define @t4142 () (tptp.c_Relation_OImage @t41 @t10 @t3274)) % 6.71/6.98 (define @t4143 () (@list @t3274 @t10 @t41)) % 6.71/6.98 (define @t4144 () (tptp.hAPP @t4142 @t20)) % 6.71/6.98 (define @t4145 () (tptp.hAPP @t4142 @t21)) % 6.71/6.98 (define @t4146 () (tptp.hAPP @t269 @t4145)) % 6.71/6.98 (define @t4147 () (tptp.tc_fun @t3817 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4148 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4147)) % 6.71/6.98 (define @t4149 () (tptp.hAPP (tptp.hAPP @t264 @t4145) @t4144)) % 6.71/6.98 (define @t4150 () (tptp.hAPP @t4142 @t864)) % 6.71/6.98 (define @t4151 () (@list @t20 @t21 @t3274 @t41 @t10)) % 6.71/6.98 (define @t4152 () (tptp.c_Relation_OImage @t10 @t41 @t2727)) % 6.71/6.98 (define @t4153 () (tptp.hAPP @t4152 @t21)) % 6.71/6.98 (define @t4154 () (@var "V_r_H_2" $$unsorted)) % 6.71/6.98 (define @t4155 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3541 @t4154) @t2727))) % 6.71/6.98 (define @t4156 () (tptp.c_Relation_OImage @t41 @t10 @t2727)) % 6.71/6.98 (define @t4157 () (tptp.hAPP (tptp.hAPP @t3469 @t4156) @t20)) % 6.71/6.98 (define @t4158 () (tptp.hAPP @t3395 @t4157)) % 6.71/6.98 (define @t4159 () (tptp.hAPP @t4037 @t20)) % 6.71/6.98 (define @t4160 () (tptp.hAPP @t4156 @t4159)) % 6.71/6.98 (define @t4161 () (tptp.hAPP @t3816 @t3)) % 6.71/6.98 (define @t4162 () (tptp.c_member @t3817)) % 6.71/6.98 (define @t4163 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4162 (tptp.hAPP @t4161 @t248)) @t2727))) % 6.71/6.98 (define @t4164 () (tptp.hAPP @t4156 @t21)) % 6.71/6.98 (define @t4165 () (tptp.hBOOL (tptp.hAPP @t345 @t4164))) % 6.71/6.98 (define @t4166 () (@list @t21 @t2727 @t41 @t248 @t10)) % 6.71/6.98 (define @t4167 () (tptp.hBOOL (tptp.hAPP @t3786 @t2727))) % 6.71/6.98 (define @t4168 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t393 @t393) @t830) @t825)) % 6.71/6.98 (define @t4169 () (tptp.c_COMBB @t393 @t23 @t41)) % 6.71/6.98 (define @t4170 () (tptp.hAPP @t3816 @t173)) % 6.71/6.98 (define @t4171 () (tptp.hAPP @t4170 @t248)) % 6.71/6.98 (define @t4172 () (tptp.hAPP @t4156 @t3514)) % 6.71/6.98 (define @t4173 () (tptp.hAPP @t1028 @t97)) % 6.71/6.98 (define @t4174 () (tptp.hAPP @t1028 @t51)) % 6.71/6.98 (define @t4175 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 @t4121) @t4100)))) % 6.71/6.98 (define @t4176 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 @t3937) @t4100)))) % 6.71/6.98 (define @t4177 () (tptp.hAPP @t3837 @t181)) % 6.71/6.98 (define @t4178 () (tptp.tc_fun @t4085 @t4085)) % 6.71/6.98 (define @t4179 () (tptp.tc_fun tptp.tc_Nat_Onat @t4178)) % 6.71/6.98 (define @t4180 () (tptp.tc_fun tptp.tc_Nat_Onat @t4085)) % 6.71/6.98 (define @t4181 () (forall @t7 (not @t3836))) % 6.71/6.98 (define @t4182 () (tptp.c_Relation_OField @t10)) % 6.71/6.98 (define @t4183 () (tptp.hAPP @t4182 @t2727)) % 6.71/6.98 (define @t4184 () (tptp.hAPP @t4042 @t248)) % 6.71/6.98 (define @t4185 () (tptp.c_Set_Oinsert @t3772)) % 6.71/6.98 (define @t4186 () (@list @t2727 @t248 @t173 @t10)) % 6.71/6.98 (define @t4187 () (@list @t3274 @t10)) % 6.71/6.98 (define @t4188 () (tptp.hAPP @t4182 @t3975)) % 6.71/6.98 (define @t4189 () (tptp.hAPP @t3774 @t2727)) % 6.71/6.98 (define @t4190 () (tptp.hBOOL (tptp.hAPP @t4189 @t3975))) % 6.71/6.98 (define @t4191 () (@list @t3975 @t2727 @t10)) % 6.71/6.98 (define @t4192 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3773)) % 6.71/6.98 (define @t4193 () (tptp.hAPP @t4192 @t2727)) % 6.71/6.98 (define @t4194 () (tptp.hAPP @t4193 @t3975)) % 6.71/6.98 (define @t4195 () (tptp.c_Finite__Set_Ofinite @t3772)) % 6.71/6.98 (define @t4196 () (tptp.hBOOL (tptp.hAPP @t4195 @t2727))) % 6.71/6.98 (define @t4197 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t3772) @t3831) @t3387)) % 6.71/6.98 (define @t4198 () (tptp.c_Relation_OId__on @t10 @t21)) % 6.71/6.98 (define @t4199 () (tptp.c_Relation_OImage @t10 @t10 @t2727)) % 6.71/6.98 (define @t4200 () (tptp.c_COMBB @t23 @t23 @t10)) % 6.71/6.98 (define @t4201 () (tptp.tc_fun @t113 @t113)) % 6.71/6.98 (define @t4202 () (tptp.c_Equiv__Relations_Oquotient @t10)) % 6.71/6.98 (define @t4203 () (tptp.hAPP (tptp.hAPP @t4202 @t21) @t2727)) % 6.71/6.98 (define @t4204 () (@list @t2727 @t21 @t10)) % 6.71/6.98 (define @t4205 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t10)) % 6.71/6.98 (define @t4206 () (tptp.hAPP @t4205 tptp.c_fconj)) % 6.71/6.98 (define @t4207 () (tptp.tc_fun @t10 @t2687)) % 6.71/6.98 (define @t4208 () (tptp.hAPP (tptp.c_COMBB @t23 @t4207 @t10) @t4206)) % 6.71/6.98 (define @t4209 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t10 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4210 () (tptp.c_Fun_Oinj__on @t10 @t113 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3773 @t113) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 (tptp.tc_fun @t3773 @t113) @t10) @t4202) @t3374)) @t2727) @t21)) % 6.71/6.98 (define @t4211 () (tptp.hAPP @t4199 @t745)) % 6.71/6.98 (define @t4212 () (tptp.hAPP @t3834 @t4184)) % 6.71/6.98 (define @t4213 () (tptp.hAPP (tptp.hAPP @t4202 @t745) @t2727)) % 6.71/6.98 (define @t4214 () (@list @t2727 @t51 @t10)) % 6.71/6.98 (define @t4215 () (tptp.hBOOL (tptp.hAPP @t4212 @t2727))) % 6.71/6.98 (define @t4216 () (tptp.hAPP @t4199 @t681)) % 6.71/6.98 (define @t4217 () (tptp.hAPP @t4199 @t658)) % 6.71/6.98 (define @t4218 () (tptp.c_Equiv__Relations_Oequiv @t10 @t21 @t2727)) % 6.71/6.98 (define @t4219 () (=> @t346 @t4215)) % 6.71/6.98 (define @t4220 () (tptp.hBOOL (tptp.hAPP @t339 @t4203))) % 6.71/6.98 (define @t4221 () (tptp.c_Orderings_Otop__class_Otop @t4085)) % 6.71/6.98 (define @t4222 () (@list @t173 @t2727 @t21 @t10)) % 6.71/6.98 (define @t4223 () (= @t337 @t3386)) % 6.71/6.98 (define @t4224 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t3386) @t4203))) % 6.71/6.98 (define @t4225 () (= @t4217 @t4216)) % 6.71/6.98 (define @t4226 () (@list @t248 @t173 @t2727 @t21 @t10)) % 6.71/6.98 (define @t4227 () (tptp.hBOOL (tptp.hAPP @t3959 @t2727))) % 6.71/6.98 (define @t4228 () (tptp.hBOOL (tptp.hAPP @t349 @t3386))) % 6.71/6.98 (define @t4229 () (tptp.hBOOL (tptp.hAPP @t326 @t337))) % 6.71/6.98 (define @t4230 () (@list @t97 @t51 @t3386 @t337 @t2727 @t21 @t10)) % 6.71/6.98 (define @t4231 () (= @t4211 (tptp.hAPP @t4199 @t2193))) % 6.71/6.98 (define @t4232 () (@list @t97 @t51 @t2727 @t21 @t10)) % 6.71/6.98 (define @t4233 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t393 @t2727 @t2)) % 6.71/6.98 (define @t4234 () (@var "V_r2_2" $$unsorted)) % 6.71/6.98 (define @t4235 () (tptp.c_Relation_OImage @t41 @t41 @t4234)) % 6.71/6.98 (define @t4236 () (tptp.c_COMBB @t3216 @t3215 @t10)) % 6.71/6.98 (define @t4237 () (@var "V_r1_2" $$unsorted)) % 6.71/6.98 (define @t4238 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3215)) % 6.71/6.98 (define @t4239 () (@var "V_A2_2" $$unsorted)) % 6.71/6.98 (define @t4240 () (@var "V_A1_2" $$unsorted)) % 6.71/6.98 (define @t4241 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t41 @t3215 @t4237 @t4234 @t2)) % 6.71/6.98 (define @t4242 () (tptp.c_Equiv__Relations_Oequiv @t41 @t4239 @t4234)) % 6.71/6.98 (define @t4243 () (tptp.c_Equiv__Relations_Oequiv @t10 @t4240 @t4237)) % 6.71/6.98 (define @t4244 () (tptp.hAPP @t3274 @t282)) % 6.71/6.98 (define @t4245 () (tptp.hAPP @t3274 @t3)) % 6.71/6.98 (define @t4246 () (= @t4245 @t4244)) % 6.71/6.98 (define @t4247 () (tptp.hBOOL (tptp.hAPP @t4245 @t282))) % 6.71/6.98 (define @t4248 () (tptp.c_Equiv__Relations_Oequivp @t10 @t3274)) % 6.71/6.98 (define @t4249 () (tptp.hBOOL (tptp.hAPP @t4052 @t51))) % 6.71/6.98 (define @t4250 () (@list @t51 @t3274 @t10)) % 6.71/6.98 (define @t4251 () (tptp.hAPP @t3274 @t97)) % 6.71/6.98 (define @t4252 () (tptp.hBOOL (tptp.hAPP @t4052 @t97))) % 6.71/6.98 (define @t4253 () (=> @t4252 (tptp.hBOOL (tptp.hAPP @t4251 @t51)))) % 6.71/6.98 (define @t4254 () (@list @t97 @t51 @t3274 @t10)) % 6.71/6.98 (define @t4255 () (=> @t4252 (=> (tptp.hBOOL (tptp.hAPP @t4251 @t513)) (tptp.hBOOL (tptp.hAPP @t4052 @t513))))) % 6.71/6.98 (define @t4256 () (@list @t513 @t97 @t51 @t3274 @t10)) % 6.71/6.98 (define @t4257 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t41 @t2989 @t4237 @t4234 @t2)) % 6.71/6.98 (define @t4258 () (tptp.c_COMBB @t41 @t393 @t10)) % 6.71/6.98 (define @t4259 () (tptp.hAPP (tptp.hAPP @t4258 tptp.c_fequal) @t2)) % 6.71/6.98 (define @t4260 () (tptp.c_COMBB @t41 tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4261 () (tptp.tc_fun @t46 @t23)) % 6.71/6.98 (define @t4262 () (tptp.hAPP @t3834 @t3)) % 6.71/6.98 (define @t4263 () (tptp.hBOOL (tptp.hAPP @t4262 @t2727))) % 6.71/6.98 (define @t4264 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t41 @t2727 @t2)) % 6.71/6.98 (define @t4265 () (@var "V_z2_2" $$unsorted)) % 6.71/6.98 (define @t4266 () (@var "V_z1_2" $$unsorted)) % 6.71/6.98 (define @t4267 () (@var "V_y2_2" $$unsorted)) % 6.71/6.98 (define @t4268 () (@var "V_y1_2" $$unsorted)) % 6.71/6.98 (define @t4269 () (tptp.hAPP @t3831 @t97)) % 6.71/6.98 (define @t4270 () (tptp.hAPP @t3834 (tptp.hAPP @t4269 @t513))) % 6.71/6.98 (define @t4271 () (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t282))) % 6.71/6.98 (define @t4272 () (tptp.hBOOL (tptp.hAPP @t4271 @t2727))) % 6.71/6.98 (define @t4273 () (tptp.hAPP (tptp.hAPP @t2092 @t337) @t2)) % 6.71/6.98 (define @t4274 () (@var "V_X2_2" $$unsorted)) % 6.71/6.98 (define @t4275 () (@var "V_X1_2" $$unsorted)) % 6.71/6.98 (define @t4276 () (tptp.c_member @t3215)) % 6.71/6.98 (define @t4277 () (@var "B_x2" $$unsorted)) % 6.71/6.98 (define @t4278 () (tptp.c_member @t393)) % 6.71/6.98 (define @t4279 () (forall @t7 (=> @t250 @t3836))) % 6.71/6.98 (define @t4280 () (tptp.hAPP @t4206 @t3621)) % 6.71/6.98 (define @t4281 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4282 () (tptp.hAPP (tptp.c_COMBB @t2687 @t3265 @t10) @t4281)) % 6.71/6.98 (define @t4283 () (tptp.hAPP @t3373 (tptp.hAPP @t4282 @t4280))) % 6.71/6.98 (define @t4284 () (tptp.c_Relation_Orefl__on @t10 @t21 @t2727)) % 6.71/6.98 (define @t4285 () (tptp.c_Relation_Orefl__on @t10 @t20 @t3975)) % 6.71/6.98 (define @t4286 () (@list @t3975 @t20 @t2727 @t21 @t10)) % 6.71/6.98 (define @t4287 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3773)) % 6.71/6.98 (define @t4288 () (tptp.hAPP @t4287 @t2727)) % 6.71/6.98 (define @t4289 () (tptp.hAPP @t4288 @t3975)) % 6.71/6.98 (define @t4290 () (tptp.c_member @t4085)) % 6.71/6.98 (define @t4291 () (tptp.hAPP @t3834 (tptp.hAPP @t4042 @t173))) % 6.71/6.98 (define @t4292 () (tptp.hBOOL (tptp.hAPP @t4291 @t2727))) % 6.71/6.98 (define @t4293 () (tptp.c_Wellfounded_Oacc @t10 @t2727)) % 6.71/6.98 (define @t4294 () (tptp.hBOOL (tptp.hAPP @t326 @t4293))) % 6.71/6.98 (define @t4295 () (tptp.hAPP @t4117 @t2727)) % 6.71/6.98 (define @t4296 () (@list @t51 @t2727 @t10)) % 6.71/6.98 (define @t4297 () (tptp.hBOOL (tptp.hAPP @t322 @t4293))) % 6.71/6.98 (define @t4298 () (tptp.hBOOL (tptp.hAPP @t345 @t4293))) % 6.71/6.98 (define @t4299 () (tptp.hBOOL (tptp.hAPP @t170 @t4293))) % 6.71/6.98 (define @t4300 () (@list @t2727 @t173 @t10)) % 6.71/6.98 (define @t4301 () (@var "V_Abs_2" $$unsorted)) % 6.71/6.98 (define @t4302 () (@var "V_Rep_2" $$unsorted)) % 6.71/6.98 (define @t4303 () (tptp.c_Typedef_Otype__definition @t10 @t41 @t4302 @t4301 @t21)) % 6.71/6.98 (define @t4304 () (@list @t21 @t4301 @t4302 @t41 @t10)) % 6.71/6.98 (define @t4305 () (tptp.hAPP @t4301 @t97)) % 6.71/6.98 (define @t4306 () (tptp.hBOOL (tptp.hAPP @t1188 @t21))) % 6.71/6.98 (define @t4307 () (@list @t97 @t51 @t21 @t4301 @t4302 @t41 @t10)) % 6.71/6.98 (define @t4308 () (tptp.hAPP @t4302 @t51)) % 6.71/6.98 (define @t4309 () (@list @t51 @t21 @t4301 @t4302 @t41 @t10)) % 6.71/6.98 (define @t4310 () (tptp.hBOOL (tptp.hAPP @t4245 @t408))) % 6.71/6.98 (define @t4311 () (tptp.hBOOL (tptp.hAPP @t411 @t937))) % 6.71/6.98 (define @t4312 () (tptp.hBOOL (tptp.hAPP @t170 @t938))) % 6.71/6.98 (define @t4313 () (not @t1018)) % 6.71/6.98 (define @t4314 () (tptp.hBOOL (tptp.hAPP @t2063 @t937))) % 6.71/6.98 (define @t4315 () (tptp.hBOOL (tptp.hAPP @t2063 @t938))) % 6.71/6.98 (define @t4316 () (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t408))) % 6.71/6.98 (define @t4317 () (tptp.hBOOL (tptp.hAPP @t4316 @t3274))) % 6.71/6.98 (define @t4318 () (tptp.hBOOL (tptp.hAPP @t411 @t3386))) % 6.71/6.98 (define @t4319 () (tptp.hBOOL (tptp.hAPP @t170 @t337))) % 6.71/6.98 (define @t4320 () (not (= @t3386 @t146))) % 6.71/6.98 (define @t4321 () (tptp.hBOOL (tptp.hAPP @t2063 @t3386))) % 6.71/6.98 (define @t4322 () (tptp.hBOOL (tptp.hAPP @t2063 @t337))) % 6.71/6.98 (define @t4323 () (@list @t3274 @t3386 @t337 @t10)) % 6.71/6.98 (define @t4324 () (tptp.c_Nitpick_Ofrac @t31)) % 6.71/6.98 (define @t4325 () (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4326 () (tptp.hBOOL @t4000)) % 6.71/6.98 (define @t4327 () (tptp.hAPP tptp.c_Int_ORep__Integ @t3)) % 6.71/6.98 (define @t4328 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4290 @t97) tptp.c_Int_OInteg))) % 6.71/6.98 (define @t4329 () (@list @t60 @t97)) % 6.71/6.98 (define @t4330 () (@list @t97)) % 6.71/6.98 (define @t4331 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 @t393 @t10) (tptp.hAPP (tptp.c_COMBB @t2097 tptp.tc_HOL_Obool @t41) @t60)) @t3303)) % 6.71/6.98 (define @t4332 () (tptp.hAPP @t3795 @t4331)) % 6.71/6.98 (define @t4333 () (@list @t60 @t41 @t10)) % 6.71/6.98 (define @t4334 () (tptp.hAPP tptp.c_fequal @t51)) % 6.71/6.98 (define @t4335 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t41)) % 6.71/6.98 (define @t4336 () (tptp.hAPP (tptp.c_COMBB @t2687 @t3255 @t10) @t4335)) % 6.71/6.98 (define @t4337 () (tptp.hAPP @t3795 (tptp.hAPP (tptp.hAPP @t3259 (tptp.hAPP @t4336 (tptp.hAPP @t4206 @t4334))) @t375))) % 6.71/6.98 (define @t4338 () (tptp.c_COMBC @t10 @t41 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4339 () (tptp.hAPP @t4338 @t4259)) % 6.71/6.98 (define @t4340 () (tptp.c_COMBS @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4341 () (tptp.hAPP @t4340 @t4280)) % 6.71/6.98 (define @t4342 () (tptp.hAPP @t4341 (tptp.hAPP @t4339 @t51))) % 6.71/6.98 (define @t4343 () (@list @t51 @t2 @t21 @t41 @t10)) % 6.71/6.98 (define @t4344 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2097 @t41 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t393 @t2097) @t60) @t3985)) @t3984)) % 6.71/6.98 (define @t4345 () (tptp.hAPP @t3795 @t60)) % 6.71/6.98 (define @t4346 () (tptp.c_Partial__Function_Oflat__lub @t10 @t248 @t21)) % 6.71/6.98 (define @t4347 () (tptp.hBOOL (tptp.hAPP @t27 @t681))) % 6.71/6.98 (define @t4348 () (tptp.c_Set_Ovimage @t10 @t41 @t2)) % 6.71/6.98 (define @t4349 () (tptp.hAPP @t4348 @t3514)) % 6.71/6.98 (define @t4350 () (@list @t173 @t2 @t41 @t10)) % 6.71/6.98 (define @t4351 () (tptp.c_Set_Ovimage @t41 @t10 @t2)) % 6.71/6.98 (define @t4352 () (tptp.hAPP @t4351 @t20)) % 6.71/6.98 (define @t4353 () (= @t829 @t248)) % 6.71/6.98 (define @t4354 () (tptp.hAPP @t4348 @t20)) % 6.71/6.98 (define @t4355 () (tptp.hAPP @t4348 @t21)) % 6.71/6.98 (define @t4356 () (tptp.hAPP @t4351 @t21)) % 6.71/6.98 (define @t4357 () (tptp.hAPP (tptp.hAPP @t3469 @t4348) @t20)) % 6.71/6.98 (define @t4358 () (@list @t20 @t21 @t2989 @t2 @t41 @t10)) % 6.71/6.98 (define @t4359 () (tptp.hAPP @t794 @t4356)) % 6.71/6.98 (define @t4360 () (tptp.hAPP @t830 @t248)) % 6.71/6.98 (define @t4361 () (tptp.hBOOL (tptp.hAPP @t2077 @t791))) % 6.71/6.98 (define @t4362 () (tptp.hBOOL (tptp.hAPP @t2063 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t41 @t2075) @t791)))) % 6.71/6.98 (define @t4363 () (@list @t791 @t2075 @t41 @t10)) % 6.71/6.98 (define @t4364 () (tptp.hAPP (tptp.c_Set_Ovimage @t41 @t10 @t3402) @t21)) % 6.71/6.98 (define @t4365 () (@list @t20 @t2 @t41 @t10)) % 6.71/6.98 (define @t4366 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4354) @t21))) % 6.71/6.98 (define @t4367 () (tptp.hAPP @t3501 @t20)) % 6.71/6.98 (define @t4368 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t3674 @t41) @t3673)) % 6.71/6.98 (define @t4369 () (tptp.hAPP (tptp.c_Set_Ovimage @t41 @t10 (tptp.hAPP (tptp.hAPP @t3526 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t10 @t3362) (tptp.hAPP @t4368 @t4367)) @t291)) @t289)) @t21)) % 6.71/6.98 (define @t4370 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t289) @t21))) % 6.71/6.98 (define @t4371 () (not @t4370)) % 6.71/6.98 (define @t4372 () (tptp.tc_fun @t3215 @t3215)) % 6.71/6.98 (define @t4373 () (tptp.hAPP @t3472 @t21)) % 6.71/6.98 (define @t4374 () (tptp.c_Product__Type_OSigma @t10 @t41)) % 6.71/6.98 (define @t4375 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3310 @t2989) @t3303) @t2)) % 6.71/6.98 (define @t4376 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4377 () (tptp.hAPP @t4376 @t599)) % 6.71/6.98 (define @t4378 () (tptp.c_COMBC tptp.tc_Nat_Onat @t757 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4379 () (tptp.hAPP @t4378 @t1003)) % 6.71/6.98 (define @t4380 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 tptp.tc_Nat_Onat) tptp.c_fconj)) % 6.71/6.98 (define @t4381 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4382 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t4383 () (tptp.hAPP @t2128 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4381 (tptp.hAPP @t4380 (tptp.hAPP @t4379 @t2083))) (tptp.hAPP @t4377 @t980))))) % 6.71/6.98 (define @t4384 () (tptp.hAPP @t4377 @t220)) % 6.71/6.98 (define @t4385 () (tptp.tc_fun @t757 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4386 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4385 tptp.tc_Nat_Onat) @t1003)) % 6.71/6.98 (define @t4387 () (tptp.hAPP @t4378 (tptp.hAPP @t4386 tptp.c_Nat_OSuc))) % 6.71/6.98 (define @t4388 () (tptp.hAPP @t2128 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4381 (tptp.hAPP @t4380 (tptp.hAPP @t4387 @t2083))) @t4384)))) % 6.71/6.98 (define @t4389 () (tptp.hAPP @t1003 @t890)) % 6.71/6.98 (define @t4390 () (tptp.hBOOL (tptp.hAPP @t4389 @t2083))) % 6.71/6.98 (define @t4391 () (@list @t220 @t2083)) % 6.71/6.98 (define @t4392 () (tptp.c_Set_OCollect @t10)) % 6.71/6.98 (define @t4393 () (tptp.hAPP @t4392 @t60)) % 6.71/6.98 (define @t4394 () (tptp.hBOOL (tptp.hAPP @t322 @t4393))) % 6.71/6.98 (define @t4395 () (tptp.hAPP @t60 @t173)) % 6.71/6.98 (define @t4396 () (tptp.hBOOL @t4395)) % 6.71/6.98 (define @t4397 () (@list @t10 @t173 @t60)) % 6.71/6.98 (define @t4398 () (tptp.hAPP @t4206 @t60)) % 6.71/6.98 (define @t4399 () (tptp.hAPP @t4340 @t4398)) % 6.71/6.98 (define @t4400 () (tptp.hAPP @t4392 (tptp.hAPP @t4399 @t57))) % 6.71/6.98 (define @t4401 () (tptp.hAPP @t4392 @t57)) % 6.71/6.98 (define @t4402 () (tptp.hBOOL (tptp.hAPP @t2063 @t4401))) % 6.71/6.98 (define @t4403 () (tptp.hBOOL (tptp.hAPP @t2063 @t4393))) % 6.71/6.98 (define @t4404 () (@list @t57 @t60 @t10)) % 6.71/6.98 (define @t4405 () (tptp.hAPP @t4374 @t21)) % 6.71/6.98 (define @t4406 () (tptp.hAPP @t4405 @t20)) % 6.71/6.98 (define @t4407 () (tptp.hBOOL (tptp.hAPP @t3786 @t4406))) % 6.71/6.98 (define @t4408 () (tptp.c_Set_OCollect @t41)) % 6.71/6.98 (define @t4409 () (tptp.hAPP @t4408 @t60)) % 6.71/6.98 (define @t4410 () (@list @t60 @t2 @t41 @t10)) % 6.71/6.98 (define @t4411 () (tptp.c_COMBK tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4412 () (not @t168)) % 6.71/6.98 (define @t4413 () (forall @t7 @t4412)) % 6.71/6.98 (define @t4414 () (tptp.hAPP @t4411 tptp.c_fFalse)) % 6.71/6.98 (define @t4415 () (tptp.hAPP @t4205 tptp.c_fdisj)) % 6.71/6.98 (define @t4416 () (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4415 @t60)) @t57))) % 6.71/6.98 (define @t4417 () (tptp.hAPP @t301 @t4393)) % 6.71/6.98 (define @t4418 () (tptp.hAPP @t4281 tptp.c_fNot)) % 6.71/6.98 (define @t4419 () (tptp.hAPP @t4418 @t60)) % 6.71/6.98 (define @t4420 () (tptp.hAPP @t4392 @t4419)) % 6.71/6.98 (define @t4421 () (tptp.hAPP @t3249 @t4408)) % 6.71/6.98 (define @t4422 () (tptp.hAPP @t4374 @t4393)) % 6.71/6.98 (define @t4423 () (tptp.hAPP @t4336 @t4398)) % 6.71/6.98 (define @t4424 () (tptp.c_COMBS @t10 @t393 @t393)) % 6.71/6.98 (define @t4425 () (tptp.c_Set_OCollect @t2097)) % 6.71/6.98 (define @t4426 () (@list @t57 @t60 @t41 @t10)) % 6.71/6.98 (define @t4427 () (tptp.hAPP @t4205 tptp.c_fimplies)) % 6.71/6.98 (define @t4428 () (@list @t60 @t173 @t10)) % 6.71/6.98 (define @t4429 () (tptp.hAPP (tptp.hAPP @t4374 @t3297) @t108)) % 6.71/6.98 (define @t4430 () (tptp.hAPP @t4374 @t3230)) % 6.71/6.98 (define @t4431 () (tptp.hAPP @t4430 @t108)) % 6.71/6.98 (define @t4432 () (tptp.c_Groups_Ominus__class_Ominus @t2098)) % 6.71/6.98 (define @t4433 () (@list @t108 @t3297 @t3230 @t41 @t10)) % 6.71/6.98 (define @t4434 () (tptp.hAPP @t3475 @t108)) % 6.71/6.98 (define @t4435 () (tptp.hAPP @t4374 @t20)) % 6.71/6.98 (define @t4436 () (tptp.hAPP @t4435 @t4434)) % 6.71/6.98 (define @t4437 () (tptp.hAPP @t4405 @t4434)) % 6.71/6.98 (define @t4438 () (@list @t108 @t20 @t21 @t41 @t10)) % 6.71/6.98 (define @t4439 () (tptp.hAPP @t4430 @t20)) % 6.71/6.98 (define @t4440 () (tptp.hAPP @t4430 @t21)) % 6.71/6.98 (define @t4441 () (tptp.hAPP @t3474 @t108)) % 6.71/6.98 (define @t4442 () (tptp.c_Product__Type_OSigma @t41 @t10)) % 6.71/6.98 (define @t4443 () (tptp.hAPP (tptp.hAPP @t4442 @t20) @t4441)) % 6.71/6.98 (define @t4444 () (tptp.hAPP @t4442 @t21)) % 6.71/6.98 (define @t4445 () (tptp.hAPP @t4444 @t4441)) % 6.71/6.98 (define @t4446 () (tptp.hBOOL (tptp.hAPP @t326 @t108))) % 6.71/6.98 (define @t4447 () (@list @t20 @t21 @t41 @t108 @t51 @t10)) % 6.71/6.98 (define @t4448 () (tptp.hAPP @t3475 @t20)) % 6.71/6.98 (define @t4449 () (tptp.hAPP @t4405 @t4448)) % 6.71/6.98 (define @t4450 () (tptp.c_Finite__Set_Ocard @t2097)) % 6.71/6.98 (define @t4451 () (tptp.c_COMBK @t3215 @t41)) % 6.71/6.98 (define @t4452 () (tptp.c_Product__Type_OSigma @t41 @t2989)) % 6.71/6.98 (define @t4453 () (tptp.hAPP (tptp.hAPP @t4452 @t21) (tptp.hAPP @t4451 @t20))) % 6.71/6.98 (define @t4454 () (tptp.hAPP @t3475 @t858)) % 6.71/6.98 (define @t4455 () (tptp.c_Groups_Ouminus__class_Ouminus @t2098)) % 6.71/6.98 (define @t4456 () (tptp.hAPP @t4374 @t165)) % 6.71/6.98 (define @t4457 () (tptp.hAPP @t3475 @t21)) % 6.71/6.98 (define @t4458 () (tptp.hAPP @t319 @t4393)) % 6.71/6.98 (define @t4459 () (tptp.hAPP @t4392 (tptp.hAPP @t4341 @t3622))) % 6.71/6.98 (define @t4460 () (tptp.hAPP @t4392 @t3581)) % 6.71/6.98 (define @t4461 () (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 @t3591)) @t60))) % 6.71/6.98 (define @t4462 () (not @t4396)) % 6.71/6.98 (define @t4463 () (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 @t3581)) @t60))) % 6.71/6.98 (define @t4464 () (tptp.hAPP @t4444 (tptp.hAPP @t3474 @t20))) % 6.71/6.98 (define @t4465 () (tptp.hAPP (tptp.c_COMBC @t10 @t41 @t2097) @t3303)) % 6.71/6.98 (define @t4466 () (tptp.hBOOL (tptp.hAPP @t2100 @t4449))) % 6.71/6.98 (define @t4467 () (tptp.c_COMBK @t23 @t10)) % 6.71/6.98 (define @t4468 () (tptp.c_Product__Type_OSigma @t10 @t10)) % 6.71/6.98 (define @t4469 () (tptp.hAPP (tptp.hAPP @t4468 @t21) (tptp.hAPP @t4467 @t21))) % 6.71/6.98 (define @t4470 () (tptp.hBOOL (tptp.hAPP @t4189 @t4469))) % 6.71/6.98 (define @t4471 () (tptp.hAPP @t3282 @t4392)) % 6.71/6.98 (define @t4472 () (tptp.hAPP @t3501 @t21)) % 6.71/6.98 (define @t4473 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t41)) % 6.71/6.98 (define @t4474 () (tptp.c_COMBS @t41 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4475 () (tptp.hAPP @t3249 (tptp.hAPP @t4474 (tptp.hAPP (tptp.hAPP @t4473 tptp.c_fimplies) @t4472)))) % 6.71/6.98 (define @t4476 () (tptp.c_COMBB @t393 tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4477 () (tptp.hAPP @t4476 (tptp.c_HOL_OAll @t41))) % 6.71/6.98 (define @t4478 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t113 tptp.tc_HOL_Obool) @t279) @t21)) % 6.71/6.98 (define @t4479 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t23)) % 6.71/6.98 (define @t4480 () (tptp.c_COMBS @t23 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4481 () (tptp.c_COMBB @t113 @t113 @t10)) % 6.71/6.98 (define @t4482 () (tptp.c_COMBB @t113 tptp.tc_HOL_Obool @t10)) % 6.71/6.98 (define @t4483 () (@list @t20 @t21 @t248 @t173 @t41 @t10)) % 6.71/6.98 (define @t4484 () (tptp.hAPP @t395 @t21)) % 6.71/6.98 (define @t4485 () (tptp.c_Orderings_Oord__class_Oless__eq @t4147)) % 6.71/6.98 (define @t4486 () (tptp.hAPP @t3541 @t2727)) % 6.71/6.98 (define @t4487 () (tptp.hBOOL (tptp.hAPP @t4486 @t4449))) % 6.71/6.98 (define @t4488 () (tptp.hAPP @t4338 @t3274)) % 6.71/6.98 (define @t4489 () (tptp.hAPP @t4340 (tptp.hAPP @t4206 @t3276))) % 6.71/6.98 (define @t4490 () (tptp.hAPP @t4473 tptp.c_fconj)) % 6.71/6.98 (define @t4491 () (tptp.hAPP @t4421 (tptp.hAPP (tptp.hAPP @t3249 (tptp.hAPP @t4474 (tptp.hAPP @t4490 (tptp.hAPP @t3501 @t2290)))) @t3274))) % 6.71/6.98 (define @t4492 () (tptp.tc_fun @t393 @t2989)) % 6.71/6.98 (define @t4493 () (tptp.c_COMBB @t3814 @t4492 @t10)) % 6.71/6.98 (define @t4494 () (tptp.c_COMBS @t10 @t393 @t2989)) % 6.71/6.98 (define @t4495 () (tptp.hAPP @t4494 (tptp.hAPP (tptp.hAPP @t4493 @t2991) @t2))) % 6.71/6.98 (define @t4496 () (tptp.hBOOL (tptp.hAPP @t2077 @t2290))) % 6.71/6.98 (define @t4497 () (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t41)) % 6.71/6.98 (define @t4498 () (tptp.tc_fun @t3418 @t393)) % 6.71/6.98 (define @t4499 () (tptp.hAPP @t398 @t728)) % 6.71/6.98 (define @t4500 () (tptp.hAPP (tptp.c_Set_Oimage @t3817 @t41 @t3999) @t4464)) % 6.71/6.98 (define @t4501 () (tptp.hAPP (tptp.c_Set_Oimage @t2097 @t41 @t3984) @t4449)) % 6.71/6.98 (define @t4502 () (tptp.hAPP @t4374 @t675)) % 6.71/6.98 (define @t4503 () (tptp.hAPP @t3475 (tptp.hAPP @t4360 @t20))) % 6.71/6.98 (define @t4504 () (tptp.c_Set_Oinsert @t2097)) % 6.71/6.98 (define @t4505 () (tptp.hAPP @t4504 @t3785)) % 6.71/6.98 (define @t4506 () (@var "V_E_2" $$unsorted)) % 6.71/6.98 (define @t4507 () (tptp.tc_fun @t3314 @t2098)) % 6.71/6.98 (define @t4508 () (tptp.tc_fun @t3425 @t2098)) % 6.71/6.98 (define @t4509 () (tptp.tc_fun @t3425 @t3314)) % 6.71/6.98 (define @t4510 () (tptp.tc_fun @t3425 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4511 () (tptp.tc_prod @t2989 @t3425)) % 6.71/6.98 (define @t4512 () (tptp.tc_fun @t2098 @t2098)) % 6.71/6.98 (define @t4513 () (tptp.tc_fun @t41 @t4512)) % 6.71/6.98 (define @t4514 () (tptp.tc_fun @t41 @t2098)) % 6.71/6.98 (define @t4515 () (tptp.hAPP @t4200 (tptp.hAPP @t4340 (tptp.hAPP @t4427 @t3621)))) % 6.71/6.98 (define @t4516 () (tptp.hAPP @t4325 (tptp.c_HOL_OAll @t10))) % 6.71/6.98 (define @t4517 () (tptp.tc_fun @t4147 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4518 () (@list @t21 @t2727 @t10)) % 6.71/6.98 (define @t4519 () (tptp.c_Groups_Oone__class_Oone @t2989)) % 6.71/6.98 (define @t4520 () (tptp.c_Set_OCollect @t23)) % 6.71/6.98 (define @t4521 () (tptp.hAPP @t4520 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t23 tptp.tc_HOL_Obool) @t24) @t21))) % 6.71/6.98 (define @t4522 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 6.71/6.98 (define @t4523 () (tptp.hAPP @t4522 (tptp.hAPP @t3907 @t60))) % 6.71/6.98 (define @t4524 () (tptp.hAPP @t4479 tptp.c_fconj)) % 6.71/6.98 (define @t4525 () (tptp.tc_fun @t23 @t2687)) % 6.71/6.98 (define @t4526 () (tptp.hAPP (tptp.c_COMBB @t113 @t4525 @t23) @t4524)) % 6.71/6.98 (define @t4527 () (tptp.hAPP (tptp.c_COMBB @t4525 @t4201 @t23) @t4480)) % 6.71/6.98 (define @t4528 () (tptp.c_COMBC @t23 @t113 @t113)) % 6.71/6.98 (define @t4529 () (tptp.tc_fun @t41 @t4040)) % 6.71/6.98 (define @t4530 () (tptp.tc_fun @t10 @t4040)) % 6.71/6.98 (define @t4531 () (tptp.tc_fun @t4128 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4532 () (tptp.tc_fun @t10 @t4531)) % 6.71/6.98 (define @t4533 () (tptp.c_Set_OCollect @t3772)) % 6.71/6.98 (define @t4534 () (tptp.hAPP (tptp.hAPP @t3259 (tptp.hAPP @t4336 @t4280)) @t4367)) % 6.71/6.98 (define @t4535 () (tptp.hAPP @t3662 (tptp.hAPP @t1536 @t289))) % 6.71/6.98 (define @t4536 () (tptp.c_Set_OCollect @t3643)) % 6.71/6.98 (define @t4537 () (tptp.c_Int_Oint__ge__less__than @t289)) % 6.71/6.98 (define @t4538 () (@list @t289)) % 6.71/6.98 (define @t4539 () (tptp.c_Int_Oint__ge__less__than2 @t289)) % 6.71/6.98 (define @t4540 () (tptp.hAPP @t4533 (tptp.hAPP @t4209 @t2727))) % 6.71/6.98 (define @t4541 () (tptp.c_Predicate_Oreflp @t10 @t2727)) % 6.71/6.98 (define @t4542 () (@list @t2 @t20 @t41 @t21 @t10 @t2989)) % 6.71/6.98 (define @t4543 () (tptp.hAPP @t2727 @t51)) % 6.71/6.98 (define @t4544 () (tptp.hAPP (tptp.c_COMBB @t393 tptp.tc_Nat_Onat @t10) @t1979)) % 6.71/6.98 (define @t4545 () (tptp.hAPP @t4488 @t3)) % 6.71/6.98 (define @t4546 () (tptp.hAPP @t4283 @t3622)) % 6.71/6.98 (define @t4547 () (tptp.tc_fun @t3362 @t23)) % 6.71/6.98 (define @t4548 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t4547 @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) % 6.71/6.98 (define @t4549 () (tptp.hAPP (tptp.c_COMBC @t10 @t3674 @t3925) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4547 (tptp.tc_fun @t3674 @t3925) @t10) (tptp.c_COMBB @t3362 @t23 @t10)) @t4548))) % 6.71/6.98 (define @t4550 () (tptp.tc_fun @t10 @t4207)) % 6.71/6.98 (define @t4551 () (tptp.hAPP (tptp.c_COMBB @t3925 @t4550 @t10) @t4208)) % 6.71/6.98 (define @t4552 () (tptp.hAPP (tptp.c_COMBB @t4207 @t3265 @t10) @t4340)) % 6.71/6.98 (define @t4553 () (tptp.tc_fun @t10 @t3265)) % 6.71/6.98 (define @t4554 () (tptp.hAPP (tptp.c_COMBB @t4550 @t4553 @t10) @t4552)) % 6.71/6.98 (define @t4555 () (tptp.hAPP (tptp.c_COMBB @t4553 (tptp.tc_fun @t3925 @t3925) @t10) (tptp.c_COMBS @t10 @t23 @t23))) % 6.71/6.98 (define @t4556 () (tptp.c_COMBC @t10 @t3925 @t3925)) % 6.71/6.98 (define @t4557 () (tptp.c_HOL_OEx @t10)) % 6.71/6.98 (define @t4558 () (tptp.hAPP @t4325 @t4557)) % 6.71/6.98 (define @t4559 () (tptp.hAPP (tptp.c_COMBB @t3925 @t23 @t10) @t4558)) % 6.71/6.98 (define @t4560 () (tptp.hAPP @t4497 @t4557)) % 6.71/6.98 (define @t4561 () (tptp.c_COMBC @t41 @t10 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4562 () (tptp.hAPP @t4561 @t57)) % 6.71/6.98 (define @t4563 () (tptp.hBOOL @t4013)) % 6.71/6.98 (define @t4564 () (tptp.c_COMBB @t113 tptp.tc_HOL_Obool @t23)) % 6.71/6.98 (define @t4565 () (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t23)) % 6.71/6.98 (define @t4566 () (tptp.c_HOL_OEx @t23)) % 6.71/6.98 (define @t4567 () (tptp.hAPP @t1313 @t151)) % 6.71/6.98 (define @t4568 () (tptp.hAPP (tptp.c_COMBC @t10 @t3362 @t23) @t4548)) % 6.71/6.98 (define @t4569 () (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4552 (tptp.hAPP @t4208 (tptp.hAPP @t4568 @t4567)))) (tptp.hAPP @t3275 @t1071))))) % 6.71/6.98 (define @t4570 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t10)) % 6.71/6.98 (define @t4571 () (@list @t151 @t1071 @t10)) % 6.71/6.98 (define @t4572 () (tptp.class_Lattices_Odistrib__lattice @t10)) % 6.71/6.98 (define @t4573 () (tptp.tc_fun @t2989 @t2989)) % 6.71/6.98 (define @t4574 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3814 @t3814) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4573 (tptp.tc_fun @t3814 @t3814) @t10) (tptp.c_COMBB @t2989 @t2989 @t41)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2989 @t4573 @t10) @t3202) @t2))) @t1)) % 6.71/6.98 (define @t4575 () (tptp.tc_fun @t3814 @t393)) % 6.71/6.98 (define @t4576 () (tptp.tc_fun @t10 @t3814)) % 6.71/6.98 (define @t4577 () (tptp.tc_fun @t41 @t2687)) % 6.71/6.98 (define @t4578 () (tptp.tc_fun @t10 @t4577)) % 6.71/6.98 (define @t4579 () (tptp.tc_fun @t10 @t3255)) % 6.71/6.98 (define @t4580 () (tptp.c_HOL_OEx @t41)) % 6.71/6.98 (define @t4581 () (tptp.hAPP @t4476 @t4580)) % 6.71/6.98 (define @t4582 () (forall @t2993 (=> @t2305 (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t20 @t1231)))))) % 6.71/6.98 (define @t4583 () (tptp.c_Fun_Oid @t10)) % 6.71/6.98 (define @t4584 () (tptp.c_Fun_Oid @t2097)) % 6.71/6.98 (define @t4585 () (@var "V_x_1" $$unsorted)) % 6.71/6.98 (define @t4586 () (tptp.c_Fun_Oid @t31)) % 6.71/6.98 (define @t4587 () (tptp.c_Fun_Oid @t41)) % 6.71/6.98 (define @t4588 () (@list @t10 @t41)) % 6.71/6.98 (define @t4589 () (tptp.c_Fun_Ocomp @t41 @t41 @t10 @t4587)) % 6.71/6.98 (define @t4590 () (tptp.c_Set_Oimage @t10 @t10 @t4583)) % 6.71/6.98 (define @t4591 () (@list @t20 @t2 @t10 @t41)) % 6.71/6.98 (define @t4592 () (tptp.hAPP @t3303 @t3)) % 6.71/6.98 (define @t4593 () (tptp.hAPP @t4592 @t282)) % 6.71/6.98 (define @t4594 () (tptp.hAPP @t796 @t282)) % 6.71/6.98 (define @t4595 () (tptp.hAPP @t3306 @t291)) % 6.71/6.98 (define @t4596 () (tptp.tc_prod @t10 @t2989)) % 6.71/6.98 (define @t4597 () (tptp.tc_fun @t4596 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4598 () (tptp.tc_prod @t41 @t3425)) % 6.71/6.98 (define @t4599 () (tptp.c_Set_Oimage @t4598 @t4596 (tptp.c_Product__Type_Omap__pair @t41 @t10 @t3425 @t2989 @t2 @t1))) % 6.71/6.98 (define @t4600 () (tptp.c_Set_Oimage @t3425 @t2989 @t1)) % 6.71/6.98 (define @t4601 () (tptp.c_Product__Type_Omap__pair @t10 @t2989 @t41 @t3425 @t2 @t1)) % 6.71/6.98 (define @t4602 () (tptp.hAPP @t1 @t248)) % 6.71/6.98 (define @t4603 () (tptp.c_Product__Type_OPair @t2989 @t3425)) % 6.71/6.98 (define @t4604 () (tptp.c_member @t4511)) % 6.71/6.98 (define @t4605 () (tptp.c_Product__Type_Omap__pair @t10 @t10 @t41 @t41 @t3387 (tptp.c_COMBI @t41))) % 6.71/6.98 (define @t4606 () (tptp.tc_prod @t3425 @t2989)) % 6.71/6.98 (define @t4607 () (@var "V_prod_2" $$unsorted)) % 6.71/6.98 (define @t4608 () (tptp.c_Product__Type_Omap__pair @t2989 @t10 @t3425 @t41 @t2 @t1)) % 6.71/6.98 (define @t4609 () (@var "V_g2_2" $$unsorted)) % 6.71/6.98 (define @t4610 () (@var "V_g1_2" $$unsorted)) % 6.71/6.98 (define @t4611 () (tptp.tc_prod @t3436 @t3966)) % 6.71/6.98 (define @t4612 () (tptp.tc_fun @t3425 @t4511)) % 6.71/6.98 (define @t4613 () (tptp.tc_fun @t41 @t4511)) % 6.71/6.98 (define @t4614 () (tptp.tc_fun @t41 @t3425)) % 6.71/6.98 (define @t4615 () (@var "V_B_H_2" $$unsorted)) % 6.71/6.98 (define @t4616 () (tptp.c_COMBK @t3215 @t10)) % 6.71/6.98 (define @t4617 () (tptp.c_Product__Type_OSigma @t10 @t2989)) % 6.71/6.98 (define @t4618 () (= @t795 @t1202)) % 6.71/6.98 (define @t4619 () (tptp.hAPP @t4617 @t21)) % 6.71/6.98 (define @t4620 () (tptp.tc_prod @t2989 @t41)) % 6.71/6.98 (define @t4621 () (tptp.c_member @t4620)) % 6.71/6.98 (define @t4622 () (tptp.tc_fun @t4620 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4623 () (tptp.tc_fun @t4622 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4624 () (tptp.tc_fun @t2989 @t4623)) % 6.71/6.98 (define @t4625 () (tptp.c_member @t4596)) % 6.71/6.98 (define @t4626 () (tptp.tc_fun @t4597 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4627 () (tptp.tc_fun @t2989 @t4626)) % 6.71/6.98 (define @t4628 () (tptp.tc_fun @t2989 @t2687)) % 6.71/6.98 (define @t4629 () (tptp.c_Relation_Orel__comp @t10 @t2989 @t41)) % 6.71/6.98 (define @t4630 () (tptp.hAPP (tptp.hAPP @t4629 @t2727) @t3975)) % 6.71/6.98 (define @t4631 () (tptp.hAPP @t4561 @t60)) % 6.71/6.98 (define @t4632 () (tptp.hAPP (tptp.c_Set_OCollect @t3817) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t10 tptp.tc_HOL_Obool) @t60))) % 6.71/6.98 (define @t4633 () (tptp.c_Relation_ORange @t41 @t10)) % 6.71/6.98 (define @t4634 () (@list @t60 @t10 @t41)) % 6.71/6.98 (define @t4635 () (tptp.c_Relation_Orel__comp @t10 @t41 @t2989)) % 6.71/6.98 (define @t4636 () (tptp.hAPP (tptp.hAPP @t4635 @t2727) @t3975)) % 6.71/6.98 (define @t4637 () (tptp.hAPP (tptp.c_Relation_ORange @t10 @t41) @t2727)) % 6.71/6.98 (define @t4638 () (@list @t2727 @t248 @t173 @t41 @t10)) % 6.71/6.98 (define @t4639 () (@list @t3274 @t41 @t2989 @t10)) % 6.71/6.98 (define @t4640 () (tptp.hAPP @t4629 @t3274)) % 6.71/6.98 (define @t4641 () (@var "V_s_H_2" $$unsorted)) % 6.71/6.98 (define @t4642 () (tptp.c_Orderings_Oord__class_Oless__eq @t4597)) % 6.71/6.98 (define @t4643 () (tptp.c_Orderings_Oord__class_Oless__eq @t3488)) % 6.71/6.98 (define @t4644 () (tptp.c_Relation_ORange @t10 @t10)) % 6.71/6.98 (define @t4645 () (tptp.hAPP @t4629 @t3975)) % 6.71/6.98 (define @t4646 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3425 @t2098) @t3230)) % 6.71/6.98 (define @t4647 () (tptp.c_Relation_Orel__comp @t10 @t10 @t10)) % 6.71/6.98 (define @t4648 () (tptp.hAPP @t4647 @t21)) % 6.71/6.98 (define @t4649 () (= (tptp.hAPP @t4648 @t108) @t3775)) % 6.71/6.98 (define @t4650 () (tptp.c_Orderings_Obot__class_Obot @t4147)) % 6.71/6.98 (define @t4651 () (tptp.hAPP @t4633 @t2727)) % 6.71/6.98 (define @t4652 () (@list @t2727 @t10 @t41)) % 6.71/6.98 (define @t4653 () (tptp.hAPP @t4633 @t20)) % 6.71/6.98 (define @t4654 () (tptp.hAPP @t4633 @t21)) % 6.71/6.98 (define @t4655 () (tptp.hBOOL (tptp.hAPP @t2100 @t2727))) % 6.71/6.98 (define @t4656 () (@list @t2727 @t41 @t10)) % 6.71/6.98 (define @t4657 () (@list @t2727 @t41 @t173 @t10)) % 6.71/6.98 (define @t4658 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4147)) % 6.71/6.98 (define @t4659 () (tptp.tc_fun @t4047 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4660 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4047) (tptp.hAPP (tptp.hAPP @t4046 @t146) @t146)) (tptp.c_Orderings_Obot__class_Obot @t4659))) % 6.71/6.98 (define @t4661 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4659)) % 6.71/6.98 (define @t4662 () (tptp.c_Relation_Orel__comp @t23 @t23 @t23)) % 6.71/6.98 (define @t4663 () (tptp.c_Orderings_Oord__class_Oless__eq @t4659)) % 6.71/6.98 (define @t4664 () (tptp.hAPP @t4647 @t3274)) % 6.71/6.98 (define @t4665 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 (tptp.hAPP @t4664 @t728)) @t3274))) % 6.71/6.98 (define @t4666 () (tptp.c_Wellfounded_Omin__ext @t10 @t3274)) % 6.71/6.98 (define @t4667 () (tptp.hAPP @t3311 @t2727)) % 6.71/6.98 (define @t4668 () (tptp.c_Predicate_Opred__comp @t10 @t41 @t2989 @t2727 @t3975)) % 6.71/6.98 (define @t4669 () (tptp.c_Predicate_ORangeP @t10 @t41 @t2727)) % 6.71/6.98 (define @t4670 () (@list @t41 @t10 @t248 @t173 @t2727)) % 6.71/6.98 (define @t4671 () (tptp.hAPP @t2727 @t938)) % 6.71/6.98 (define @t4672 () (tptp.c_Wellfounded_Owf @t10 @t3274)) % 6.71/6.98 (define @t4673 () (tptp.hAPP @t4425 @t4345)) % 6.71/6.98 (define @t4674 () (tptp.c_Relation_ODomain @t10 @t41)) % 6.71/6.98 (define @t4675 () (tptp.hAPP (tptp.hAPP @t4127 @t2727) @t2)) % 6.71/6.98 (define @t4676 () (tptp.c_Wellfounded_Owf @t10 @t2727)) % 6.71/6.98 (define @t4677 () (@list @t2 @t41 @t2727 @t10)) % 6.71/6.98 (define @t4678 () (@var "V_rb_2" $$unsorted)) % 6.71/6.98 (define @t4679 () (@var "V_ra_2" $$unsorted)) % 6.71/6.98 (define @t4680 () (tptp.hAPP @t4674 @t2727)) % 6.71/6.98 (define @t4681 () (tptp.hBOOL (tptp.hAPP @t322 @t4680))) % 6.71/6.98 (define @t4682 () (tptp.hAPP @t4664 @t3274)) % 6.71/6.98 (define @t4683 () (@list @t2934 @t2727 @t10)) % 6.71/6.98 (define @t4684 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4685 () (tptp.c_Set_OCollect @t3855)) % 6.71/6.98 (define @t4686 () (@list @t4154 @t2727 @t10)) % 6.71/6.98 (define @t4687 () (tptp.c_Relation_ODomain @t10 @t10)) % 6.71/6.98 (define @t4688 () (tptp.hAPP @t4687 @t2727)) % 6.71/6.98 (define @t4689 () (tptp.hAPP @t4192 @t3274)) % 6.71/6.98 (define @t4690 () (tptp.hAPP @t4689 @t728)) % 6.71/6.98 (define @t4691 () (tptp.c_Wellfounded_Owf @t10 @t4690)) % 6.71/6.98 (define @t4692 () (tptp.hBOOL (tptp.hAPP @t4486 @t3975))) % 6.71/6.98 (define @t4693 () (@list @t3975 @t2727 @t41 @t10)) % 6.71/6.98 (define @t4694 () (tptp.hAPP @t4674 @t20)) % 6.71/6.98 (define @t4695 () (tptp.hAPP @t4674 @t21)) % 6.71/6.98 (define @t4696 () (@list @t3274 @t41 @t10)) % 6.71/6.98 (define @t4697 () (tptp.c_Relation_OImage @t10 @t10 @t3274)) % 6.71/6.98 (define @t4698 () (tptp.c_Wellfounded_Owf @t10 @t728)) % 6.71/6.98 (define @t4699 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 (tptp.hAPP @t3784 @t282)) @t2727))) % 6.71/6.98 (define @t4700 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3773 @t3773) @t60)) % 6.71/6.98 (define @t4701 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3773 @t3773) @t60)) % 6.71/6.98 (define @t4702 () (tptp.hAPP @t3774 @t728)) % 6.71/6.98 (define @t4703 () (tptp.hAPP @t3774 @t3274)) % 6.71/6.98 (define @t4704 () (tptp.hAPP @t4644 @t2727)) % 6.71/6.98 (define @t4705 () (tptp.c_List_Olenlex @t10 @t2727)) % 6.71/6.98 (define @t4706 () (tptp.tc_List_Olist @t10)) % 6.71/6.98 (define @t4707 () (tptp.c_Predicate_ODomainP @t10 @t41 @t2727)) % 6.71/6.98 (define @t4708 () (tptp.c_COMBB tptp.tc_Nat_Onat @t757 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t4709 () (tptp.c_List_Olex @t10 @t2727)) % 6.71/6.98 (define @t4710 () (tptp.c_List_Olexn @t10 @t2727)) % 6.71/6.98 (define @t4711 () (tptp.hAPP @t4710 @t115)) % 6.71/6.98 (define @t4712 () (@list @t115 @t2727 @t10)) % 6.71/6.98 (define @t4713 () (tptp.tc_prod @t4706 @t4706)) % 6.71/6.98 (define @t4714 () (tptp.tc_fun @t4713 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4715 () (tptp.c_Wellfounded_OwfP @t10 @t2727)) % 6.71/6.98 (define @t4716 () (tptp.c_Wellfounded_Oacyclic @t10 @t4540)) % 6.71/6.98 (define @t4717 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t282)) % 6.71/6.98 (define @t4718 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4290 @t282) tptp.c_Int_OInteg))) % 6.71/6.98 (define @t4719 () (@list @t51 @t60)) % 6.71/6.98 (define @t4720 () (tptp.c_Wellfounded_Oacyclic @t10 @t2727)) % 6.71/6.98 (define @t4721 () (@list @t2727 @t3975 @t10)) % 6.71/6.98 (define @t4722 () (tptp.hAPP @t2727 @t993)) % 6.71/6.98 (define @t4723 () (tptp.hAPP @t2727 @t898)) % 6.71/6.98 (define @t4724 () (tptp.hAPP @t3783 @t513)) % 6.71/6.98 (define @t4725 () (tptp.c_Hilbert__Choice_OEps @t10 @t60)) % 6.71/6.98 (define @t4726 () (tptp.hBOOL (tptp.hAPP @t60 @t4725))) % 6.71/6.98 (define @t4727 () (@var "B_P" $$unsorted)) % 6.71/6.98 (define @t4728 () (@list @t10 @t60)) % 6.71/6.98 (define @t4729 () (tptp.hAPP @t3580 @t51)) % 6.71/6.98 (define @t4730 () (tptp.hAPP @t3831 @t282)) % 6.71/6.98 (define @t4731 () (tptp.c_Wellfounded_Oacc @t10 @t3274)) % 6.71/6.98 (define @t4732 () (tptp.hAPP @t169 @t2910)) % 6.71/6.98 (define @t4733 () (tptp.hAPP @t3831 @t2910)) % 6.71/6.98 (define @t4734 () (@list @t3274 @t51 @t10)) % 6.71/6.98 (define @t4735 () (tptp.hAPP @t269 @t337)) % 6.71/6.98 (define @t4736 () (tptp.hAPP @t4735 @t21)) % 6.71/6.98 (define @t4737 () (tptp.hAPP @t24 @t337)) % 6.71/6.98 (define @t4738 () (tptp.hBOOL (tptp.hAPP @t322 @t337))) % 6.71/6.98 (define @t4739 () (tptp.c_Orderings_Oorder__class_Omono @t23 @t23 @t2)) % 6.71/6.98 (define @t4740 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t23 @t2)) % 6.71/6.98 (define @t4741 () (= @t21 @t4740)) % 6.71/6.98 (define @t4742 () (@list @t337 @t173 @t2 @t10 @t21)) % 6.71/6.98 (define @t4743 () (tptp.hBOOL (tptp.hAPP @t322 @t4740))) % 6.71/6.98 (define @t4744 () (tptp.hAPP @t2 (tptp.hAPP @t4735 @t4740))) % 6.71/6.98 (define @t4745 () (@list @t337 @t173 @t2 @t10)) % 6.71/6.98 (define @t4746 () (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t10 @t2)) % 6.71/6.98 (define @t4747 () (tptp.hAPP @t2 @t4746)) % 6.71/6.98 (define @t4748 () (tptp.c_Orderings_Oorder__class_Omono @t10 @t10 @t2)) % 6.71/6.98 (define @t4749 () (= @t21 @t4746)) % 6.71/6.98 (define @t4750 () (tptp.hAPP @t99 @t337)) % 6.71/6.98 (define @t4751 () (tptp.hBOOL (tptp.hAPP @t4750 @t4746))) % 6.71/6.98 (define @t4752 () (tptp.hAPP @t2 @t337)) % 6.71/6.98 (define @t4753 () (@list @t2 @t337 @t10)) % 6.71/6.98 (define @t4754 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t1) @t337)) % 6.71/6.98 (define @t4755 () (tptp.hAPP @t463 @t337)) % 6.71/6.98 (define @t4756 () (tptp.hAPP @t4755 @t4746)) % 6.71/6.98 (define @t4757 () (tptp.hAPP @t2 @t4756)) % 6.71/6.98 (define @t4758 () (tptp.hBOOL (tptp.hAPP @t4750 @t4757))) % 6.71/6.98 (define @t4759 () (tptp.hAPP (tptp.c_COMBB @t23 @t3265 @t23) @t269)) % 6.71/6.98 (define @t4760 () (tptp.hAPP @t3336 (tptp.hAPP @t4759 (tptp.hAPP (tptp.hAPP @t3336 (tptp.hAPP @t4759 @t2)) @t337)))) % 6.71/6.98 (define @t4761 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t23 (tptp.hAPP @t4760 @t4740))) % 6.71/6.98 (define @t4762 () (tptp.hAPP @t2 @t4761)) % 6.71/6.98 (define @t4763 () (tptp.hBOOL (tptp.hAPP @t4737 @t4762))) % 6.71/6.98 (define @t4764 () (tptp.c_COMBB @t23 @t23 @t23)) % 6.71/6.98 (define @t4765 () (tptp.hAPP (tptp.hAPP @t4764 @t4392) @t60)) % 6.71/6.98 (define @t4766 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 @t2)) % 6.71/6.98 (define @t4767 () (tptp.hAPP @t99 @t4766)) % 6.71/6.98 (define @t4768 () (tptp.hAPP @t2 @t4766)) % 6.71/6.98 (define @t4769 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t23 @t2)) % 6.71/6.98 (define @t4770 () (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t2098 @t2)) % 6.71/6.98 (define @t4771 () (tptp.hAPP tptp.c_Nat_OSuc @t1396)) % 6.71/6.98 (define @t4772 () (tptp.hAPP (tptp.hAPP @t2734 @t151) @t2724)) % 6.71/6.98 (define @t4773 () (tptp.hAPP (tptp.c_Random_Oiterate @t41 @t10 @t151 @t2) @t51)) % 6.71/6.98 (define @t4774 () (= @t151 @t2721)) % 6.71/6.98 (define @t4775 () (not @t4774)) % 6.71/6.98 (define @t4776 () (@list @t51 @t2 @t10 @t41 @t151)) % 6.71/6.98 (define @t4777 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t41 @t2989 @t3425 @t10) @t2) @t1) @t51)) % 6.71/6.98 (define @t4778 () (@list @t51 @t1 @t2 @t10 @t3425 @t2989 @t41)) % 6.71/6.98 (define @t4779 () (tptp.tc_fun @t3966 @t41)) % 6.71/6.98 (define @t4780 () (tptp.tc_fun @t3425 @t41)) % 6.71/6.98 (define @t4781 () (tptp.tc_fun @t2989 @t4780)) % 6.71/6.98 (define @t4782 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.71/6.98 (define @t4783 () (tptp.hAPP @t4094 (tptp.hAPP @t4177 @t115))) % 6.71/6.98 (define @t4784 () (@var "B_Q" $$unsorted)) % 6.71/6.98 (define @t4785 () (tptp.hAPP @t3834 (tptp.hAPP @t4730 @t3))) % 6.71/6.98 (define @t4786 () (tptp.hBOOL (tptp.hAPP @t4785 @t2727))) % 6.71/6.98 (define @t4787 () (tptp.hBOOL (tptp.hAPP @t170 @t4784))) % 6.71/6.98 (define @t4788 () (tptp.c_Transitive__Closure_Otrancl @t10 @t2727)) % 6.71/6.98 (define @t4789 () (tptp.c_Wellfounded_Owf @t10 @t4788)) % 6.71/6.98 (define @t4790 () (forall @t7 (not (tptp.hBOOL (tptp.hAPP @t3835 @t4788))))) % 6.71/6.98 (define @t4791 () (tptp.hBOOL (tptp.hAPP @t4212 @t4788))) % 6.71/6.98 (define @t4792 () (tptp.hAPP @t3774 @t4788)) % 6.71/6.98 (define @t4793 () (tptp.hAPP @t3834 @t2934)) % 6.71/6.98 (define @t4794 () (tptp.hBOOL (tptp.hAPP @t4793 @t4788))) % 6.71/6.98 (define @t4795 () (tptp.hBOOL (tptp.hAPP @t4793 @t2727))) % 6.71/6.98 (define @t4796 () (@list @t2727 @t2934 @t10)) % 6.71/6.98 (define @t4797 () (tptp.c_Transitive__Closure_Otrancl @t10 @t3274)) % 6.71/6.98 (define @t4798 () (tptp.hAPP @t3834 (tptp.hAPP @t4042 @t291))) % 6.71/6.98 (define @t4799 () (tptp.hAPP @t3831 @t248)) % 6.71/6.98 (define @t4800 () (tptp.hAPP @t3834 (tptp.hAPP @t4799 @t291))) % 6.71/6.98 (define @t4801 () (tptp.hBOOL (tptp.hAPP @t4798 @t4788))) % 6.71/6.98 (define @t4802 () (=> (tptp.hBOOL (tptp.hAPP @t4800 @t4788)) @t4801)) % 6.71/6.98 (define @t4803 () (@list @t291 @t2727 @t248 @t173 @t10)) % 6.71/6.98 (define @t4804 () (tptp.hBOOL (tptp.hAPP @t4800 @t2727))) % 6.71/6.98 (define @t4805 () (=> @t4804 @t4801)) % 6.71/6.98 (define @t4806 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t2727)) % 6.71/6.98 (define @t4807 () (tptp.hAPP @t4192 @t4788)) % 6.71/6.98 (define @t4808 () (tptp.hAPP @t4269 @t51)) % 6.71/6.98 (define @t4809 () (tptp.hAPP (tptp.hAPP @t4185 @t4808) @t2727)) % 6.71/6.98 (define @t4810 () (@list @t2727 @t51 @t97 @t10)) % 6.71/6.98 (define @t4811 () (tptp.c_Relation_OId @t10)) % 6.71/6.98 (define @t4812 () (tptp.hAPP @t4193 @t4811)) % 6.71/6.98 (define @t4813 () (@list @t97 @t51 @t2727 @t10)) % 6.71/6.98 (define @t4814 () (tptp.hBOOL (tptp.hAPP @t4212 @t4806))) % 6.71/6.98 (define @t4815 () (tptp.hAPP (tptp.hAPP @t4647 @t4806) @t2727)) % 6.71/6.98 (define @t4816 () (tptp.hAPP @t4647 @t2727)) % 6.71/6.98 (define @t4817 () (tptp.hAPP @t4816 @t4806)) % 6.71/6.98 (define @t4818 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t3274)) % 6.71/6.98 (define @t4819 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3773) @t2727) @t4811)) % 6.71/6.98 (define @t4820 () (tptp.hBOOL (tptp.hAPP @t4798 @t4806))) % 6.71/6.98 (define @t4821 () (tptp.hBOOL (tptp.hAPP @t4800 @t4806))) % 6.71/6.98 (define @t4822 () (=> @t4821 @t4820)) % 6.71/6.98 (define @t4823 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4690)) % 6.71/6.98 (define @t4824 () (tptp.hAPP @t3834 @t51)) % 6.71/6.98 (define @t4825 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t728)) % 6.71/6.98 (define @t4826 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t3975)) % 6.71/6.98 (define @t4827 () (tptp.hAPP @t3774 @t4806)) % 6.71/6.98 (define @t4828 () (tptp.hBOOL (tptp.hAPP @t4827 @t4826))) % 6.71/6.98 (define @t4829 () (tptp.hAPP @t4192 @t4818)) % 6.71/6.98 (define @t4830 () (tptp.hAPP @t4829 @t4825)) % 6.71/6.98 (define @t4831 () (tptp.hBOOL (tptp.hAPP @t3959 @t4797))) % 6.71/6.98 (define @t4832 () (tptp.hBOOL (tptp.hAPP @t3959 @t4818))) % 6.71/6.98 (define @t4833 () (@list @t3274 @t97 @t51 @t10)) % 6.71/6.98 (define @t4834 () (=> @t4821 @t4801)) % 6.71/6.98 (define @t4835 () (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t513))) % 6.71/6.98 (define @t4836 () (tptp.hBOOL (tptp.hAPP @t3959 @t4806))) % 6.71/6.98 (define @t4837 () (@list @t513 @t2727 @t97 @t51 @t10)) % 6.71/6.98 (define @t4838 () (tptp.hAPP @t3834 (tptp.hAPP @t4799 @t173))) % 6.71/6.98 (define @t4839 () (tptp.hBOOL (tptp.hAPP @t4838 @t4806))) % 6.71/6.98 (define @t4840 () (not @t4836)) % 6.71/6.98 (define @t4841 () (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t51))) % 6.71/6.98 (define @t4842 () (tptp.c_Relation_Oconverse @t10 @t10)) % 6.71/6.98 (define @t4843 () (tptp.hAPP @t4842 @t2727)) % 6.71/6.98 (define @t4844 () (forall @t905 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP @t2 @t901)) @t2316)) @t4806)))) % 6.71/6.98 (define @t4845 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4843)) % 6.71/6.98 (define @t4846 () (tptp.hAPP @t4162 (tptp.hAPP (tptp.hAPP @t3816 @t248) @t173))) % 6.71/6.98 (define @t4847 () (tptp.hBOOL (tptp.hAPP @t4846 @t2727))) % 6.71/6.98 (define @t4848 () (tptp.c_Relation_Oconverse @t41 @t10)) % 6.71/6.98 (define @t4849 () (tptp.hAPP @t4848 @t2727)) % 6.71/6.98 (define @t4850 () (tptp.hBOOL (tptp.hAPP @t3786 @t4849))) % 6.71/6.98 (define @t4851 () (tptp.hAPP (tptp.c_Relation_Oconverse @t10 @t41) @t2727)) % 6.71/6.98 (define @t4852 () (tptp.hAPP @t4848 @t3975)) % 6.71/6.98 (define @t4853 () (@list @t3975 @t2727 @t10 @t41)) % 6.71/6.98 (define @t4854 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4147 @t2098 @t2989) @t4848) @t2727)) % 6.71/6.98 (define @t4855 () (@list @t2727 @t728 @t2989 @t10 @t41)) % 6.71/6.98 (define @t4856 () (@list @t3975 @t2727 @t2989 @t10 @t41)) % 6.71/6.98 (define @t4857 () (tptp.hAPP @t4842 @t4788)) % 6.71/6.98 (define @t4858 () (tptp.c_Transitive__Closure_Otrancl @t10 @t4843)) % 6.71/6.98 (define @t4859 () (tptp.c_Wellfounded_Owf @t10 @t4843)) % 6.71/6.98 (define @t4860 () (tptp.hAPP (tptp.hAPP @t4647 @t4843) @t2727)) % 6.71/6.98 (define @t4861 () (= @t4860 @t2727)) % 6.71/6.98 (define @t4862 () (tptp.hAPP @t4674 @t4849)) % 6.71/6.98 (define @t4863 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 @t4808) @t4806))) % 6.71/6.98 (define @t4864 () (tptp.hBOOL (tptp.hAPP @t3959 @t4845))) % 6.71/6.98 (define @t4865 () (@list @t2727 @t97 @t51 @t10)) % 6.71/6.98 (define @t4866 () (tptp.hBOOL (tptp.hAPP @t3959 @t4857))) % 6.71/6.98 (define @t4867 () (tptp.hBOOL (tptp.hAPP @t3959 @t4858))) % 6.71/6.98 (define @t4868 () (tptp.tc_fun @t41 @t4517)) % 6.71/6.98 (define @t4869 () (tptp.c_Relation_Ototal__on @t10 @t21 @t2727)) % 6.71/6.98 (define @t4870 () (tptp.c_Relation_Osingle__valued @t10 @t41 @t2727)) % 6.71/6.98 (define @t4871 () (tptp.hAPP @t4592 @t2910)) % 6.71/6.98 (define @t4872 () (@list @t513 @t97 @t51 @t2727 @t10)) % 6.71/6.98 (define @t4873 () (tptp.c_Nat_Ocompow @t3772 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4874 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3773) @t964) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3773 @t3773) @t4873) @t3274))) % 6.71/6.98 (define @t4875 () (tptp.hBOOL (tptp.hAPP @t4793 @t4818))) % 6.71/6.98 (define @t4876 () (@list @t3274 @t2934 @t10)) % 6.71/6.98 (define @t4877 () (tptp.hAPP (tptp.hAPP @t4873 @t115) @t3274)) % 6.71/6.98 (define @t4878 () (@list @t115 @t3274 @t10)) % 6.71/6.98 (define @t4879 () (tptp.c_Nat_Ocompow @t10 @t10)) % 6.71/6.98 (define @t4880 () (tptp.hAPP @t4879 @t115)) % 6.71/6.98 (define @t4881 () (tptp.hAPP @t4880 @t2)) % 6.71/6.98 (define @t4882 () (tptp.hAPP (tptp.hAPP @t4879 @t181) @t2)) % 6.71/6.98 (define @t4883 () (@list @t3274 @t115 @t10)) % 6.71/6.98 (define @t4884 () (tptp.hAPP (tptp.hAPP @t4647 @t4877) @t3274)) % 6.71/6.98 (define @t4885 () (tptp.hBOOL (tptp.hAPP @t4793 (tptp.hAPP (tptp.hAPP @t4873 @t36) @t3274)))) % 6.71/6.98 (define @t4886 () (tptp.hAPP (tptp.hAPP @t4873 @t116) @t3274)) % 6.71/6.98 (define @t4887 () (tptp.hAPP (tptp.hAPP @t4873 @t890) @t3274)) % 6.71/6.98 (define @t4888 () (tptp.hBOOL (tptp.hAPP @t4835 @t4886))) % 6.71/6.98 (define @t4889 () (tptp.hAPP (tptp.hAPP @t4873 @t234) @t3274)) % 6.71/6.98 (define @t4890 () (tptp.hAPP @t3834 (tptp.hAPP @t4730 @t513))) % 6.71/6.98 (define @t4891 () (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t282))) % 6.71/6.98 (define @t4892 () (tptp.hBOOL (tptp.hAPP @t4891 @t3274))) % 6.71/6.98 (define @t4893 () (@list @t282 @t234)) % 6.71/6.98 (define @t4894 () (=> @t971 (not @t975))) % 6.71/6.98 (define @t4895 () (tptp.hBOOL (tptp.hAPP @t4835 @t4877))) % 6.71/6.98 (define @t4896 () (@list @t3274 @t115 @t513 @t51 @t10)) % 6.71/6.98 (define @t4897 () (not (tptp.hBOOL (tptp.hAPP @t4890 @t3274)))) % 6.71/6.98 (define @t4898 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t60)) % 6.71/6.98 (define @t4899 () (tptp.hBOOL (tptp.hAPP @t4212 @t4898))) % 6.71/6.98 (define @t4900 () (tptp.hBOOL (tptp.hAPP @t4212 (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP (tptp.hAPP @t4192 @t60) @t57))))) % 6.71/6.98 (define @t4901 () (@list @t57 @t60 @t248 @t173 @t10)) % 6.71/6.98 (define @t4902 () (tptp.hBOOL (tptp.hAPP @t4890 @t4877))) % 6.71/6.98 (define @t4903 () (tptp.hAPP @t3834 (tptp.hAPP @t4733 @t97))) % 6.71/6.98 (define @t4904 () (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t2910))) % 6.71/6.98 (define @t4905 () (@var "V_P_H_2" $$unsorted)) % 6.71/6.98 (define @t4906 () (tptp.hBOOL @t4060)) % 6.71/6.98 (define @t4907 () (@var "V_yx_2" $$unsorted)) % 6.71/6.98 (define @t4908 () (@var "V_xz_2" $$unsorted)) % 6.71/6.98 (define @t4909 () (tptp.c_Nitpick_Odenom @t10)) % 6.71/6.98 (define @t4910 () (tptp.hAPP @t4909 @t2727)) % 6.71/6.98 (define @t4911 () (tptp.hAPP @t3618 @t2312)) % 6.71/6.98 (define @t4912 () (tptp.c_Nitpick_Onum @t10)) % 6.71/6.98 (define @t4913 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.71/6.98 (define @t4914 () (tptp.hAPP @t4909 @t2453)) % 6.71/6.98 (define @t4915 () (@list @t2727 @t2453 @t10)) % 6.71/6.98 (define @t4916 () (tptp.c_Nitpick_Odenom @t31)) % 6.71/6.98 (define @t4917 () (tptp.hAPP @t4916 @t1628)) % 6.71/6.98 (define @t4918 () (tptp.c_Nitpick_Onum @t31)) % 6.71/6.98 (define @t4919 () (tptp.hAPP @t4918 @t1628)) % 6.71/6.98 (define @t4920 () (@list @t1628 @t31)) % 6.71/6.98 (define @t4921 () (tptp.hAPP @t4912 (tptp.c_Nitpick_Oplus__frac @t10 @t2453 (tptp.c_Nitpick_Ouminus__frac @t10 @t2727)))) % 6.71/6.98 (define @t4922 () (tptp.c_Nitpick_ORep__Frac @t10)) % 6.71/6.98 (define @t4923 () (tptp.c_Nat_Osize__class_Osize @t4706)) % 6.71/6.98 (define @t4924 () (tptp.tc_prod tptp.tc_Nat_Onat @t4706)) % 6.71/6.98 (define @t4925 () (@var "V_ys_2" $$unsorted)) % 6.71/6.98 (define @t4926 () (tptp.hAPP @t4923 @t4925)) % 6.71/6.98 (define @t4927 () (= @t4926 @t115)) % 6.71/6.98 (define @t4928 () (@var "V_xs_2" $$unsorted)) % 6.71/6.98 (define @t4929 () (tptp.hAPP @t4923 @t4928)) % 6.71/6.98 (define @t4930 () (tptp.c_Product__Type_OPair @t4706 @t4706)) % 6.71/6.98 (define @t4931 () (tptp.hAPP @t4930 @t4928)) % 6.71/6.98 (define @t4932 () (tptp.c_member @t4713)) % 6.71/6.98 (define @t4933 () (tptp.hAPP @t4932 (tptp.hAPP @t4931 @t4925))) % 6.71/6.98 (define @t4934 () (@var "V_ys" $$unsorted)) % 6.71/6.98 (define @t4935 () (@var "V_xs" $$unsorted)) % 6.71/6.98 (define @t4936 () (= @t4935 @t4934)) % 6.71/6.98 (define @t4937 () (tptp.tc_List_Olist @t31)) % 6.71/6.98 (define @t4938 () (tptp.c_Nat_Osize__class_Osize @t4937)) % 6.71/6.98 (define @t4939 () (tptp.hAPP @t4938 @t4934)) % 6.71/6.98 (define @t4940 () (tptp.hAPP @t4938 @t4935)) % 6.71/6.98 (define @t4941 () (@list @t4934 @t4935 @t31)) % 6.71/6.98 (define @t4942 () (tptp.tc_fun @t4714 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4943 () (tptp.tc_fun @t4706 @t4942)) % 6.71/6.98 (define @t4944 () (tptp.tc_fun @t4706 @t4713)) % 6.71/6.98 (define @t4945 () (tptp.tc_fun @t4706 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4946 () (tptp.c_COMBB tptp.tc_Nat_Onat @t757 @t4706)) % 6.71/6.98 (define @t4947 () (tptp.hAPP (tptp.hAPP @t4946 tptp.c_fequal) @t4923)) % 6.71/6.98 (define @t4948 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4706)) % 6.71/6.98 (define @t4949 () (tptp.tc_fun @t4706 tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t4950 () (tptp.hAPP (tptp.c_COMBB @t757 (tptp.tc_fun @t4949 @t4945) @t4706) @t4948)) % 6.71/6.98 (define @t4951 () (tptp.c_COMBC @t4706 @t4949 @t4945)) % 6.71/6.98 (define @t4952 () (tptp.hAPP (tptp.hAPP @t4951 (tptp.hAPP @t4950 @t4947)) @t4923)) % 6.71/6.98 (define @t4953 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t4706)) % 6.71/6.98 (define @t4954 () (tptp.hAPP @t4953 tptp.c_fconj)) % 6.71/6.98 (define @t4955 () (tptp.tc_fun @t4706 @t2687)) % 6.71/6.98 (define @t4956 () (tptp.c_COMBB @t4945 @t4955 @t4706)) % 6.71/6.98 (define @t4957 () (tptp.c_COMBS @t4706 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4958 () (tptp.tc_fun @t4945 @t4945)) % 6.71/6.98 (define @t4959 () (tptp.hAPP (tptp.c_COMBB @t4955 @t4958 @t4706) @t4957)) % 6.71/6.98 (define @t4960 () (tptp.c_COMBS @t4706 @t4945 @t4945)) % 6.71/6.98 (define @t4961 () (tptp.c_Product__Type_Oprod_Oprod__case @t4706 @t4706 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4962 () (tptp.c_Set_OCollect @t4713)) % 6.71/6.98 (define @t4963 () (tptp.hAPP @t4377 @t4929)) % 6.71/6.98 (define @t4964 () (tptp.hAPP @t4381 (tptp.hAPP @t4380 @t4963))) % 6.71/6.98 (define @t4965 () (tptp.hAPP @t4964 (tptp.hAPP @t4379 @t3230))) % 6.71/6.98 (define @t4966 () (tptp.c_List_Osublist @t10 @t4928 @t3230)) % 6.71/6.98 (define @t4967 () (@list @t3230 @t4928 @t10)) % 6.71/6.98 (define @t4968 () (tptp.c_COMBC @t4706 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t4969 () (tptp.hAPP @t4968 @t4947)) % 6.71/6.98 (define @t4970 () (tptp.hAPP @t4969 @t116)) % 6.71/6.98 (define @t4971 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4706)) % 6.71/6.98 (define @t4972 () (tptp.c_List_Olist_OCons @t10)) % 6.71/6.98 (define @t4973 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4706 @t4706) @t4972)) % 6.71/6.98 (define @t4974 () (tptp.tc_prod @t10 @t4706)) % 6.71/6.98 (define @t4975 () (tptp.c_List_Olist_OCons @t31)) % 6.71/6.98 (define @t4976 () (tptp.hAPP @t4975 @t30)) % 6.71/6.98 (define @t4977 () (tptp.hAPP @t4976 @t4934)) % 6.71/6.98 (define @t4978 () (tptp.hAPP @t178 @t4940)) % 6.71/6.98 (define @t4979 () (tptp.hAPP @t4976 @t4935)) % 6.71/6.98 (define @t4980 () (@list @t30 @t31 @t4935)) % 6.71/6.98 (define @t4981 () (@list @t4935 @t30 @t31)) % 6.71/6.98 (define @t4982 () (@var "V_list_H_2" $$unsorted)) % 6.71/6.98 (define @t4983 () (@var "V_list_2" $$unsorted)) % 6.71/6.98 (define @t4984 () (tptp.hAPP @t4972 @t173)) % 6.71/6.98 (define @t4985 () (tptp.hAPP @t4984 @t4983)) % 6.71/6.98 (define @t4986 () (@var "V_list" $$unsorted)) % 6.71/6.98 (define @t4987 () (tptp.hAPP @t4975 @t81)) % 6.71/6.98 (define @t4988 () (= @t4929 @t4926)) % 6.71/6.98 (define @t4989 () (tptp.hAPP @t4972 @t97)) % 6.71/6.98 (define @t4990 () (tptp.hAPP @t4989 @t4925)) % 6.71/6.98 (define @t4991 () (tptp.hAPP @t4972 @t51)) % 6.71/6.98 (define @t4992 () (tptp.hAPP @t4991 @t4928)) % 6.71/6.98 (define @t4993 () (tptp.hAPP @t4930 @t4992)) % 6.71/6.98 (define @t4994 () (tptp.hAPP @t4932 (tptp.hAPP @t4993 @t4990))) % 6.71/6.98 (define @t4995 () (@list @t2727 @t4925 @t97 @t4928 @t51 @t10)) % 6.71/6.98 (define @t4996 () (tptp.c_member @t4706)) % 6.71/6.98 (define @t4997 () (tptp.hAPP (tptp.c_COMBC @t4706 @t4945 tptp.tc_HOL_Obool) @t4996)) % 6.71/6.98 (define @t4998 () (tptp.tc_fun @t4706 @t4706)) % 6.71/6.98 (define @t4999 () (tptp.tc_fun @t4998 @t4945)) % 6.71/6.98 (define @t5000 () (tptp.tc_fun @t10 @t4945)) % 6.71/6.98 (define @t5001 () (tptp.tc_fun @t10 @t4998)) % 6.71/6.98 (define @t5002 () (tptp.tc_fun @t10 @t4955)) % 6.71/6.98 (define @t5003 () (tptp.tc_fun @t10 @t4958)) % 6.71/6.98 (define @t5004 () (tptp.c_Set_OCollect @t4706)) % 6.71/6.98 (define @t5005 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t31) @t30)) % 6.71/6.98 (define @t5006 () (tptp.hAPP (tptp.c_Random_Opick @t31 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t31)) @t30) @t4935)) @t209)) % 6.71/6.98 (define @t5007 () (tptp.hBOOL (tptp.hAPP @t3001 @t5005))) % 6.71/6.98 (define @t5008 () (tptp.c_Random_Oselect__weight @t10 @t4928)) % 6.71/6.98 (define @t5009 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 6.71/6.98 (define @t5010 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 6.71/6.98 (define @t5011 () (@list @t4928 @t51 @t10)) % 6.71/6.98 (define @t5012 () (tptp.c_List_Olexord @t10 @t2727)) % 6.71/6.98 (define @t5013 () (tptp.hAPP @t4930 @t51)) % 6.71/6.98 (define @t5014 () (tptp.hAPP @t4932 (tptp.hAPP @t5013 @t97))) % 6.71/6.98 (define @t5015 () (tptp.hBOOL (tptp.hAPP @t5014 @t5012))) % 6.71/6.98 (define @t5016 () (tptp.hAPP (tptp.hAPP @t4972 @t248) @t97)) % 6.71/6.98 (define @t5017 () (tptp.hAPP @t4984 @t51)) % 6.71/6.98 (define @t5018 () (tptp.hAPP @t4923 @t97)) % 6.71/6.98 (define @t5019 () (tptp.hAPP @t4923 @t51)) % 6.71/6.98 (define @t5020 () (= @t5019 @t5018)) % 6.71/6.98 (define @t5021 () (tptp.c_List_Olistrel1 @t10 @t2727)) % 6.71/6.98 (define @t5022 () (tptp.c_Transitive__Closure_Ortrancl @t4706 @t5021)) % 6.71/6.98 (define @t5023 () (tptp.hBOOL (tptp.hAPP @t4933 @t5022))) % 6.71/6.98 (define @t5024 () (@list @t4925 @t4928 @t2727 @t97 @t51 @t10)) % 6.71/6.98 (define @t5025 () (tptp.c_Wellfounded_Oacc @t4706 @t5021)) % 6.71/6.98 (define @t5026 () (tptp.hAPP @t4996 @t4992)) % 6.71/6.98 (define @t5027 () (tptp.hAPP @t4996 @t4928)) % 6.71/6.98 (define @t5028 () (tptp.hBOOL (tptp.hAPP @t5027 @t5025))) % 6.71/6.98 (define @t5029 () (tptp.c_Orderings_Oord__class_Oless__eq @t4714)) % 6.71/6.98 (define @t5030 () (tptp.hAPP @t5029 @t5021)) % 6.71/6.98 (define @t5031 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4706 @t4706) @t5021)) % 6.71/6.98 (define @t5032 () (tptp.c_List_Olistrel1 @t10 @t4843)) % 6.71/6.98 (define @t5033 () (tptp.hAPP @t4932 (tptp.hAPP @t4993 (tptp.hAPP @t4991 @t4925)))) % 6.71/6.98 (define @t5034 () (@list @t51 @t2727 @t4925 @t4928 @t10)) % 6.71/6.98 (define @t5035 () (tptp.hBOOL (tptp.hAPP @t4933 @t5021))) % 6.71/6.98 (define @t5036 () (@list @t2727 @t4925 @t4928 @t10)) % 6.71/6.98 (define @t5037 () (= @t4928 @t4925)) % 6.71/6.98 (define @t5038 () (tptp.c_Orderings_Obot__class_Obot @t4945)) % 6.71/6.98 (define @t5039 () (tptp.c_Set_Oinsert @t4706)) % 6.71/6.98 (define @t5040 () (tptp.c_List_Olistrel @t10 @t2727)) % 6.71/6.98 (define @t5041 () (tptp.c_Relation_OImage @t4706 @t4706 @t5040)) % 6.71/6.98 (define @t5042 () (tptp.hAPP @t4930 @t97)) % 6.71/6.98 (define @t5043 () (tptp.hAPP @t3831 @t1231)) % 6.71/6.98 (define @t5044 () (tptp.c_List_Olistrel @t10 @t4806)) % 6.71/6.98 (define @t5045 () (@list @t2727 @t4928 @t10)) % 6.71/6.98 (define @t5046 () (tptp.hAPP @t5029 @t5040)) % 6.71/6.98 (define @t5047 () (tptp.hBOOL (tptp.hAPP @t4933 @t5040))) % 6.71/6.98 (define @t5048 () (@var "V_zs_2" $$unsorted)) % 6.71/6.98 (define @t5049 () (tptp.hAPP @t4930 @t4925)) % 6.71/6.98 (define @t5050 () (tptp.hBOOL (tptp.hAPP @t4933 @t5044))) % 6.71/6.98 (define @t5051 () (@var "B_ys" $$unsorted)) % 6.71/6.98 (define @t5052 () (tptp.hAPP @t4972 @t282)) % 6.71/6.98 (define @t5053 () (tptp.hBOOL (tptp.hAPP @t4543 @t97))) % 6.71/6.98 (define @t5054 () (tptp.hBOOL (tptp.hAPP @t4671 @t937))) % 6.71/6.98 (define @t5055 () (tptp.hAPP @t4972 @t937)) % 6.71/6.98 (define @t5056 () (tptp.hAPP @t4972 @t938)) % 6.71/6.98 (define @t5057 () (@var "B_xs" $$unsorted)) % 6.71/6.98 (define @t5058 () (tptp.hAPP @t4972 @t3)) % 6.71/6.98 (define @t5059 () (tptp.hAPP @t5058 @t5057)) % 6.71/6.98 (define @t5060 () (tptp.c_List_Olists @t10 @t21)) % 6.71/6.98 (define @t5061 () (tptp.c_Orderings_Otop__class_Otop @t4945)) % 6.71/6.98 (define @t5062 () (tptp.c_List_Olists @t10 @t20)) % 6.71/6.98 (define @t5063 () (tptp.c_Orderings_Oord__class_Oless__eq @t4945)) % 6.71/6.98 (define @t5064 () (tptp.hBOOL (tptp.hAPP @t5027 @t5060))) % 6.71/6.98 (define @t5065 () (tptp.hBOOL (tptp.hAPP @t5027 (tptp.c_List_Olists @t10 @t4293)))) % 6.71/6.98 (define @t5066 () (tptp.c_List_Onth @t10)) % 6.71/6.98 (define @t5067 () (tptp.hAPP @t5066 @t4925)) % 6.71/6.98 (define @t5068 () (tptp.hAPP @t5066 @t4928)) % 6.71/6.98 (define @t5069 () (tptp.hAPP @t5068 @t36)) % 6.71/6.98 (define @t5070 () (tptp.hAPP @t3831 @t5069)) % 6.71/6.98 (define @t5071 () (tptp.hAPP @t599 @t36)) % 6.71/6.98 (define @t5072 () (tptp.hBOOL (tptp.hAPP @t5071 @t4929))) % 6.71/6.98 (define @t5073 () (tptp.c_Finite__Set_Ofinite @t4706)) % 6.71/6.98 (define @t5074 () (tptp.hAPP @t5068 @t898)) % 6.71/6.98 (define @t5075 () (tptp.hBOOL (tptp.hAPP @t903 @t4929))) % 6.71/6.98 (define @t5076 () (@list @t10 @t4925 @t4928)) % 6.71/6.98 (define @t5077 () (tptp.c_List_Onth @t31)) % 6.71/6.98 (define @t5078 () (tptp.hAPP @t5077 @t4979)) % 6.71/6.98 (define @t5079 () (tptp.hAPP @t5077 @t4935)) % 6.71/6.98 (define @t5080 () (tptp.hAPP @t5079 @t176)) % 6.71/6.98 (define @t5081 () (tptp.hAPP @t5078 @t176)) % 6.71/6.98 (define @t5082 () (@list @t4935 @t30 @t31 @t176)) % 6.71/6.98 (define @t5083 () (tptp.hAPP @t5078 @t1862)) % 6.71/6.98 (define @t5084 () (not @t2228)) % 6.71/6.98 (define @t5085 () (@list @t4935 @t30 @t31 @t1411)) % 6.71/6.98 (define @t5086 () (tptp.c_List_Otake @t10)) % 6.71/6.98 (define @t5087 () (tptp.hAPP @t5086 @t898)) % 6.71/6.98 (define @t5088 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5089 () (tptp.tc_fun tptp.tc_Nat_Onat @t10)) % 6.71/6.98 (define @t5090 () (tptp.tc_fun tptp.tc_Nat_Onat @t2687)) % 6.71/6.98 (define @t5091 () (tptp.hAPP (tptp.c_COMBC @t10 @t757 @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5090 @t3980 @t10) @t4381) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 @t5090 @t10) @t4380) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5089 @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 (tptp.tc_fun @t5089 @t757) @t10) @t5088) tptp.c_fequal)) @t5068))))) % 6.71/6.98 (define @t5092 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5093 () (tptp.hAPP (tptp.c_COMBB @t757 tptp.tc_HOL_Obool @t10) @t5092)) % 6.71/6.98 (define @t5094 () (tptp.c_List_Oset @t10)) % 6.71/6.98 (define @t5095 () (tptp.hAPP @t5094 @t4966)) % 6.71/6.98 (define @t5096 () (tptp.hAPP @t5094 @t4928)) % 6.71/6.98 (define @t5097 () (@list @t4928 @t10)) % 6.71/6.98 (define @t5098 () (tptp.hAPP @t5094 @t4992)) % 6.71/6.98 (define @t5099 () (tptp.hAPP @t24 @t5096)) % 6.71/6.98 (define @t5100 () (@list @t51 @t4928 @t10)) % 6.71/6.98 (define @t5101 () (tptp.c_List_Otake @t31)) % 6.71/6.98 (define @t5102 () (tptp.hAPP @t5101 @t176)) % 6.71/6.98 (define @t5103 () (tptp.hAPP @t5102 @t4935)) % 6.71/6.98 (define @t5104 () (tptp.hBOOL (tptp.hAPP @t4978 @t176))) % 6.71/6.98 (define @t5105 () (@list @t176 @t4935 @t31)) % 6.71/6.98 (define @t5106 () (tptp.hAPP @t5086 @t115)) % 6.71/6.98 (define @t5107 () (tptp.hAPP @t5106 @t4928)) % 6.71/6.98 (define @t5108 () (tptp.hAPP @t5094 @t5107)) % 6.71/6.98 (define @t5109 () (@list @t4928 @t115 @t10)) % 6.71/6.98 (define @t5110 () (tptp.hAPP @t5079 @t209)) % 6.71/6.98 (define @t5111 () (tptp.hBOOL (tptp.hAPP @t709 @t176))) % 6.71/6.98 (define @t5112 () (tptp.hBOOL (tptp.hAPP @t326 @t5095))) % 6.71/6.98 (define @t5113 () (tptp.hBOOL (tptp.hAPP @t326 @t5096))) % 6.71/6.98 (define @t5114 () (not @t5113)) % 6.71/6.98 (define @t5115 () (@list @t3230 @t4928 @t51 @t10)) % 6.71/6.98 (define @t5116 () (@list @t4928 @t115 @t51 @t10)) % 6.71/6.98 (define @t5117 () (tptp.hBOOL (tptp.hAPP @t349 @t5096))) % 6.71/6.98 (define @t5118 () (tptp.hAPP @t5101 @t177)) % 6.71/6.98 (define @t5119 () (@list @t4935 @t30 @t176 @t31)) % 6.71/6.98 (define @t5120 () (tptp.hAPP @t3064 @t4940)) % 6.71/6.98 (define @t5121 () (@list @t4935 @t176 @t31)) % 6.71/6.98 (define @t5122 () (tptp.hAPP (tptp.hAPP @t5101 @t193) @t4935)) % 6.71/6.98 (define @t5123 () (@list @t4935 @t193 @t176 @t31)) % 6.71/6.98 (define @t5124 () (tptp.hAPP @t633 @t5096)) % 6.71/6.98 (define @t5125 () (tptp.hAPP @t1960 @t5096)) % 6.71/6.98 (define @t5126 () (tptp.hAPP @t60 @t5074)) % 6.71/6.98 (define @t5127 () (tptp.hBOOL @t5126)) % 6.71/6.98 (define @t5128 () (=> @t5075 @t5127)) % 6.71/6.98 (define @t5129 () (forall @t905 @t5128)) % 6.71/6.98 (define @t5130 () (tptp.hBOOL (tptp.hAPP @t170 @t5096))) % 6.71/6.98 (define @t5131 () (forall @t7 (=> @t5130 @t168))) % 6.71/6.98 (define @t5132 () (@list @t60 @t4928 @t10)) % 6.71/6.98 (define @t5133 () (tptp.c_List_Olist_Olist__size @t10 @t2 @t4928)) % 6.71/6.98 (define @t5134 () (tptp.hAPP @t599 @t97)) % 6.71/6.98 (define @t5135 () (@list @t2 @t97 @t4928 @t51 @t10)) % 6.71/6.98 (define @t5136 () (@list @t21 @t4928 @t10)) % 6.71/6.98 (define @t5137 () (tptp.hBOOL (tptp.hAPP @t910 @t4929))) % 6.71/6.98 (define @t5138 () (tptp.hAPP @t5068 @t115)) % 6.71/6.98 (define @t5139 () (tptp.hBOOL (tptp.hAPP @t714 @t4929))) % 6.71/6.98 (define @t5140 () (tptp.c_COMBB @t23 @t113 @t4706)) % 6.71/6.98 (define @t5141 () (tptp.c_COMBC @t4706 @t23 tptp.tc_HOL_Obool)) % 6.71/6.98 (define @t5142 () (tptp.hAPP @t5141 (tptp.hAPP (tptp.hAPP @t5140 @t24) @t5094))) % 6.71/6.98 (define @t5143 () (tptp.hAPP @t5142 @t21)) % 6.71/6.98 (define @t5144 () (tptp.hAPP @t4969 @t115)) % 6.71/6.98 (define @t5145 () (tptp.hAPP @t4957 (tptp.hAPP @t4954 @t5143))) % 6.71/6.98 (define @t5146 () (@list @t115 @t21 @t10)) % 6.71/6.98 (define @t5147 () (tptp.hAPP (tptp.c_List_Ozip @t10 @t10) @t4928)) % 6.71/6.98 (define @t5148 () (tptp.c_List_Oset @t3772)) % 6.71/6.98 (define @t5149 () (tptp.hBOOL (tptp.hAPP @t4262 (tptp.hAPP @t5148 (tptp.hAPP @t5147 @t4925))))) % 6.71/6.98 (define @t5150 () (tptp.tc_List_Olist @t41)) % 6.71/6.98 (define @t5151 () (tptp.c_Nat_Osize__class_Osize @t5150)) % 6.71/6.98 (define @t5152 () (tptp.hAPP @t5151 @t4925)) % 6.71/6.98 (define @t5153 () (tptp.hAPP (tptp.hAPP @t3064 @t4929) @t5152)) % 6.71/6.98 (define @t5154 () (tptp.c_List_Onth @t41)) % 6.71/6.98 (define @t5155 () (tptp.hAPP @t5154 @t4925)) % 6.71/6.98 (define @t5156 () (tptp.tc_fun tptp.tc_Nat_Onat @t2097)) % 6.71/6.98 (define @t5157 () (tptp.c_List_Ozip @t10 @t41)) % 6.71/6.98 (define @t5158 () (tptp.hAPP @t5157 @t4928)) % 6.71/6.98 (define @t5159 () (tptp.hAPP @t5158 @t4925)) % 6.71/6.98 (define @t5160 () (tptp.c_List_Oset @t2097)) % 6.71/6.98 (define @t5161 () (tptp.hAPP @t5160 @t5159)) % 6.71/6.98 (define @t5162 () (@list @t4925 @t4928 @t41 @t10)) % 6.71/6.98 (define @t5163 () (tptp.c_List_Ozip @t31 @t10)) % 6.71/6.98 (define @t5164 () (tptp.hAPP @t5163 @t4935)) % 6.71/6.98 (define @t5165 () (tptp.hAPP @t5164 @t4934)) % 6.71/6.98 (define @t5166 () (tptp.tc_prod @t31 @t10)) % 6.71/6.98 (define @t5167 () (@list @t4934 @t4935 @t176 @t10 @t31)) % 6.71/6.98 (define @t5168 () (tptp.hAPP @t4923 @t4934)) % 6.71/6.98 (define @t5169 () (tptp.c_List_Oset @t41)) % 6.71/6.98 (define @t5170 () (tptp.hAPP @t5169 @t4925)) % 6.71/6.98 (define @t5171 () (tptp.hBOOL (tptp.hAPP @t1188 @t5170))) % 6.71/6.98 (define @t5172 () (tptp.hBOOL (tptp.hAPP @t3307 @t5161))) % 6.71/6.98 (define @t5173 () (@list @t4925 @t4928 @t97 @t51 @t41 @t10)) % 6.71/6.98 (define @t5174 () (tptp.hBOOL (tptp.hAPP @t322 @t5096))) % 6.71/6.98 (define @t5175 () (tptp.hAPP @t5147 @t4928)) % 6.71/6.98 (define @t5176 () (tptp.hBOOL (tptp.hAPP @t709 @t4940))) % 6.71/6.98 (define @t5177 () (tptp.hAPP (tptp.hAPP @t1514 @t902) @t1538)) % 6.71/6.98 (define @t5178 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 6.71/6.98 (define @t5179 () (tptp.c_List_Omonoid__add__class_Olistsum @t10)) % 6.71/6.98 (define @t5180 () (tptp.hAPP @t5179 @t4928)) % 6.71/6.98 (define @t5181 () (tptp.c_List_Oupto @t220 @t902)) % 6.71/6.98 (define @t5182 () (tptp.hAPP @t5178 @t5181)) % 6.71/6.98 (define @t5183 () (@var "V_ns_2" $$unsorted)) % 6.71/6.98 (define @t5184 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5185 () (tptp.hAPP @t5184 @t5183)) % 6.71/6.98 (define @t5186 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1004 @t5185)) (= @t3 @t890)))) % 6.71/6.98 (define @t5187 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5188 () (@var "V_ns" $$unsorted)) % 6.71/6.98 (define @t5189 () (tptp.hAPP @t5187 @t5188)) % 6.71/6.98 (define @t5190 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5191 () (tptp.hAPP (tptp.hAPP @t5190 @t5188) @t208)) % 6.71/6.98 (define @t5192 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 6.71/6.98 (define @t5193 () (tptp.c_Nat_Osize__class_Osize @t5192)) % 6.71/6.98 (define @t5194 () (tptp.hBOOL (tptp.hAPP @t1390 (tptp.hAPP @t5193 @t5188)))) % 6.71/6.98 (define @t5195 () (tptp.c_List_Omonoid__add__class_Olistsum @t31)) % 6.71/6.98 (define @t5196 () (tptp.hAPP @t5195 @t4935)) % 6.71/6.98 (define @t5197 () (tptp.c_List_Oupto @t1586 @t902)) % 6.71/6.98 (define @t5198 () (tptp.hAPP @t5101 @t1244)) % 6.71/6.98 (define @t5199 () (tptp.hAPP @t5198 @t4935)) % 6.71/6.98 (define @t5200 () (@list @t4935 @t31 @t176)) % 6.71/6.98 (define @t5201 () (tptp.c_List_Olist__update @t31 @t4935)) % 6.71/6.98 (define @t5202 () (tptp.hAPP @t5201 @t209)) % 6.71/6.98 (define @t5203 () (tptp.hAPP @t5202 @t30)) % 6.71/6.98 (define @t5204 () (@list @t30 @t209 @t4935 @t31)) % 6.71/6.98 (define @t5205 () (tptp.hAPP @t5079 @t211)) % 6.71/6.98 (define @t5206 () (tptp.hAPP @t5077 @t5203)) % 6.71/6.98 (define @t5207 () (tptp.hAPP @t5206 @t211)) % 6.71/6.98 (define @t5208 () (= @t209 @t211)) % 6.71/6.98 (define @t5209 () (=> (not @t5208) (= @t5207 @t5205))) % 6.71/6.98 (define @t5210 () (@list @t209 @t4935 @t31)) % 6.71/6.98 (define @t5211 () (tptp.c_List_Obutlast @t31 @t4935)) % 6.71/6.98 (define @t5212 () (tptp.hAPP @t5201 @t208)) % 6.71/6.98 (define @t5213 () (tptp.hAPP @t5212 @t30)) % 6.71/6.98 (define @t5214 () (tptp.c_List_Obutlast @t31 @t5213)) % 6.71/6.98 (define @t5215 () (tptp.hAPP @t911 @t4940)) % 6.71/6.98 (define @t5216 () (tptp.hAPP @t5215 @t1243)) % 6.71/6.98 (define @t5217 () (= @t208 @t5216)) % 6.71/6.98 (define @t5218 () (not @t5217)) % 6.71/6.98 (define @t5219 () (tptp.hAPP (tptp.c_List_Olist__update @t5166 @t5165) @t209)) % 6.71/6.98 (define @t5220 () (tptp.hAPP (tptp.c_List_Olist__update @t10 @t4934) @t209)) % 6.71/6.98 (define @t5221 () (@var "V_xy" $$unsorted)) % 6.71/6.98 (define @t5222 () (tptp.hAPP @t5202 @t64)) % 6.71/6.98 (define @t5223 () (tptp.c_List_Olist__update @t31 @t5203)) % 6.71/6.98 (define @t5224 () (@var "V_x_H" $$unsorted)) % 6.71/6.98 (define @t5225 () (@var "V_i_H" $$unsorted)) % 6.71/6.98 (define @t5226 () (tptp.hAPP @t4975 @t64)) % 6.71/6.98 (define @t5227 () (tptp.hAPP @t5226 @t4935)) % 6.71/6.98 (define @t5228 () (tptp.c_List_Olist__update @t31 @t4979)) % 6.71/6.98 (define @t5229 () (tptp.c_List_Olist__update @t10 @t4928)) % 6.71/6.98 (define @t5230 () (tptp.hAPP (tptp.c_COMBB @t4706 @t4706 tptp.tc_Nat_Onat) @t4991)) % 6.71/6.98 (define @t5231 () (tptp.c_List_Obutlast @t10 @t4928)) % 6.71/6.98 (define @t5232 () (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 @t5231)))) % 6.71/6.98 (define @t5233 () (tptp.hAPP @t5229 @t220)) % 6.71/6.98 (define @t5234 () (tptp.hAPP @t5233 @t51)) % 6.71/6.98 (define @t5235 () (tptp.hAPP @t24 (tptp.hAPP @t5094 @t5234))) % 6.71/6.98 (define @t5236 () (tptp.hAPP @t5068 @t220)) % 6.71/6.98 (define @t5237 () (tptp.hBOOL (tptp.hAPP @t1465 @t4929))) % 6.71/6.98 (define @t5238 () (tptp.hBOOL (tptp.hAPP @t604 @t4940))) % 6.71/6.98 (define @t5239 () (@list @t4935 @t31)) % 6.71/6.98 (define @t5240 () (tptp.c_List_Odistinct @t10)) % 6.71/6.98 (define @t5241 () (tptp.hAPP @t784 @t5096)) % 6.71/6.98 (define @t5242 () (tptp.hBOOL (tptp.hAPP @t5240 @t4928))) % 6.71/6.98 (define @t5243 () (tptp.c_List_Oupto @t209 @t211)) % 6.71/6.98 (define @t5244 () (tptp.hAPP @t5101 @t209)) % 6.71/6.98 (define @t5245 () (tptp.hAPP @t5244 @t4935)) % 6.71/6.98 (define @t5246 () (tptp.c_List_Odistinct @t31)) % 6.71/6.98 (define @t5247 () (tptp.hBOOL (tptp.hAPP @t5246 @t4935))) % 6.71/6.98 (define @t5248 () (tptp.c_List_Odistinct @t5166)) % 6.71/6.98 (define @t5249 () (@list @t4934 @t10 @t4935 @t31)) % 6.71/6.98 (define @t5250 () (and @t5114 @t5242)) % 6.71/6.98 (define @t5251 () (= @t5125 @t4929)) % 6.71/6.98 (define @t5252 () (tptp.hAPP @t5068 @t993)) % 6.71/6.98 (define @t5253 () (tptp.hBOOL (tptp.hAPP @t994 @t4929))) % 6.71/6.98 (define @t5254 () (tptp.hAPP @t5068 @t902)) % 6.71/6.98 (define @t5255 () (tptp.hAPP @t599 @t902)) % 6.71/6.98 (define @t5256 () (@list @t902 @t220 @t4928 @t10)) % 6.71/6.98 (define @t5257 () (tptp.c_Nitpick_Ocard_H @t10 @t21)) % 6.71/6.98 (define @t5258 () (tptp.c_Hilbert__Choice_OEps @t4706 (tptp.hAPP (tptp.hAPP @t4957 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t5141 (tptp.hAPP (tptp.hAPP @t5140 tptp.c_fequal) @t5094)) @t21))) @t5240))) % 6.71/6.98 (define @t5259 () (tptp.hAPP @t5101 @t208)) % 6.71/6.98 (define @t5260 () (tptp.hAPP @t5077 @t4934)) % 6.71/6.98 (define @t5261 () (tptp.hAPP @t5079 @t898)) % 6.71/6.98 (define @t5262 () (tptp.hAPP @t5241 @t745)) % 6.71/6.98 (define @t5263 () (tptp.c_List_Oremove1 @t10 @t51 @t4928)) % 6.71/6.98 (define @t5264 () (tptp.hAPP @t5094 @t5263)) % 6.71/6.98 (define @t5265 () (tptp.hAPP (tptp.hAPP @t5101 @t1862) @t4979)) % 6.71/6.98 (define @t5266 () (tptp.c_List_Olist_ONil @t31)) % 6.71/6.98 (define @t5267 () (tptp.c_List_Olist_ONil @t10)) % 6.71/6.98 (define @t5268 () (= @t4928 @t5267)) % 6.71/6.98 (define @t5269 () (tptp.hAPP @t4932 (tptp.hAPP @t4931 @t5267))) % 6.71/6.98 (define @t5270 () (tptp.hAPP @t4930 @t5267)) % 6.71/6.98 (define @t5271 () (tptp.hAPP @t4932 (tptp.hAPP @t5270 @t4928))) % 6.71/6.98 (define @t5272 () (= @t4935 @t5266)) % 6.71/6.98 (define @t5273 () (not @t5272)) % 6.71/6.98 (define @t5274 () (@list @t31 @t4935)) % 6.71/6.98 (define @t5275 () (tptp.c_List_Oremove1 @t31 @t30 @t4935)) % 6.71/6.98 (define @t5276 () (@list @t30 @t4935 @t31)) % 6.71/6.98 (define @t5277 () (tptp.c_List_Obutlast @t31 @t4979)) % 6.71/6.98 (define @t5278 () (@var "V_list_H" $$unsorted)) % 6.71/6.98 (define @t5279 () (tptp.hAPP (tptp.hAPP @t4975 @t1900) @t5278)) % 6.71/6.98 (define @t5280 () (@list @t5278 @t1900 @t31)) % 6.71/6.98 (define @t5281 () (tptp.c_List_Oremove1 @t31 @t30 @t5227)) % 6.71/6.98 (define @t5282 () (@list @t4935 @t31 @t64 @t30)) % 6.71/6.98 (define @t5283 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 6.71/6.98 (define @t5284 () (= @t5243 @t5283)) % 6.71/6.98 (define @t5285 () (@list @t3186 @t10)) % 6.71/6.98 (define @t5286 () (@var "V_zs" $$unsorted)) % 6.71/6.98 (define @t5287 () (@list @t5286 @t64 @t30 @t31)) % 6.71/6.98 (define @t5288 () (tptp.c_List_Olist_ONil @t5166)) % 6.71/6.98 (define @t5289 () (tptp.hAPP (tptp.c_List_Olist__update @t31 @t5266) @t209)) % 6.71/6.98 (define @t5290 () (@list @t97 @t4928 @t51 @t10)) % 6.71/6.98 (define @t5291 () (not @t5268)) % 6.71/6.98 (define @t5292 () (tptp.hAPP @t4976 @t5266)) % 6.71/6.98 (define @t5293 () (tptp.hAPP @t5270 @t5267)) % 6.71/6.98 (define @t5294 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4706 @t4706)) % 6.71/6.98 (define @t5295 () (@list @t4928 @t51 @t115 @t10)) % 6.71/6.98 (define @t5296 () (tptp.hAPP @t1579 @t1538)) % 6.71/6.98 (define @t5297 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 6.71/6.98 (define @t5298 () (tptp.hAPP @t4991 @t5267)) % 6.71/6.98 (define @t5299 () (tptp.c_List_Osublist @t10 @t5298 @t21)) % 6.71/6.98 (define @t5300 () (tptp.hAPP @t4389 @t21)) % 6.71/6.98 (define @t5301 () (tptp.hBOOL @t5300)) % 6.71/6.98 (define @t5302 () (tptp.hAPP (tptp.hAPP @t5039 @t5267) @t5038)) % 6.71/6.98 (define @t5303 () (tptp.hAPP @t5102 @t4979)) % 6.71/6.98 (define @t5304 () (tptp.hAPP @t1879 @t193)) % 6.71/6.98 (define @t5305 () (tptp.c_List_Oupto @t5304 @t2688)) % 6.71/6.98 (define @t5306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t5304) @t2688))) % 6.71/6.98 (define @t5307 () (tptp.c_COMBC @t10 @t4706 @t4706)) % 6.71/6.98 (define @t5308 () (tptp.hAPP @t5307 @t4972)) % 6.71/6.98 (define @t5309 () (tptp.hAPP @t5308 @t5267)) % 6.71/6.98 (define @t5310 () (tptp.hAPP @t4923 @t5263)) % 6.71/6.98 (define @t5311 () (tptp.hBOOL (tptp.hAPP @t1781 @t902))) % 6.71/6.98 (define @t5312 () (tptp.c_Wellfounded_Oaccp @t3643 tptp.c_List_Oupto__rel)) % 6.71/6.98 (define @t5313 () (tptp.c_Random_Oselect @t10 @t4928)) % 6.71/6.98 (define @t5314 () (tptp.c_Product__Type_Ofst @t10 @t4015)) % 6.71/6.98 (define @t5315 () (tptp.c_List_Olist_OCons @t2097)) % 6.71/6.98 (define @t5316 () (tptp.tc_List_Olist @t2097)) % 6.71/6.98 (define @t5317 () (tptp.tc_fun @t5316 @t5316)) % 6.71/6.98 (define @t5318 () (tptp.tc_fun @t5150 @t5316)) % 6.71/6.98 (define @t5319 () (tptp.c_List_Olist_ONil @t2097)) % 6.71/6.98 (define @t5320 () (@list @t4925 @t4928 @t51 @t41 @t10)) % 6.71/6.98 (define @t5321 () (tptp.hAPP @t285 @t173)) % 6.71/6.98 (define @t5322 () (tptp.c_List_Olist_OCons @t41)) % 6.71/6.98 (define @t5323 () (tptp.c_List_Olist_Olist__case @t10 @t41 @t287 @t285)) % 6.71/6.98 (define @t5324 () (tptp.c_List_Olist_ONil @t41)) % 6.71/6.98 (define @t5325 () (@list @t285 @t287 @t41 @t10)) % 6.71/6.98 (define @t5326 () (@var "V_As_2" $$unsorted)) % 6.71/6.98 (define @t5327 () (tptp.tc_fun @t4706 @t5316)) % 6.71/6.98 (define @t5328 () (tptp.hAPP @t5322 @t97)) % 6.71/6.98 (define @t5329 () (tptp.hAPP @t5328 @t4925)) % 6.71/6.98 (define @t5330 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t21)) % 6.71/6.98 (define @t5331 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t786)) % 6.71/6.98 (define @t5332 () (tptp.hAPP (tptp.hAPP @t1549 @t898) @t1538)) % 6.71/6.98 (define @t5333 () (tptp.c_Lazy__Sequence_Oanamorph @t41 @t10 @t2)) % 6.71/6.98 (define @t5334 () (tptp.c_Product__Type_OPair @t4706 @t41)) % 6.71/6.98 (define @t5335 () (tptp.tc_prod @t4706 @t41)) % 6.71/6.98 (define @t5336 () (tptp.tc_fun @t41 @t5335)) % 6.71/6.98 (define @t5337 () (tptp.tc_fun @t4706 @t5336)) % 6.71/6.98 (define @t5338 () (tptp.tc_fun @t5335 @t5335)) % 6.71/6.98 (define @t5339 () (tptp.hAPP (tptp.hAPP @t5334 @t5267) @t51)) % 6.71/6.98 (define @t5340 () (tptp.hAPP (tptp.hAPP @t5333 @t151) @t51)) % 6.71/6.98 (define @t5341 () (tptp.c_List_Oappend @t10)) % 6.71/6.98 (define @t5342 () (tptp.hAPP @t4991 @t227)) % 6.71/6.98 (define @t5343 () (@var "B_ys_H" $$unsorted)) % 6.71/6.98 (define @t5344 () (tptp.hAPP (tptp.hAPP @t5341 @t5343) @t5048)) % 6.71/6.98 (define @t5345 () (tptp.hAPP @t4991 @t5343)) % 6.71/6.98 (define @t5346 () (@list @t5343)) % 6.71/6.98 (define @t5347 () (= @t4925 @t5267)) % 6.71/6.98 (define @t5348 () (tptp.hAPP @t5341 @t4925)) % 6.71/6.98 (define @t5349 () (tptp.hAPP @t5348 @t5048)) % 6.71/6.98 (define @t5350 () (tptp.hAPP @t4989 @t5267)) % 6.71/6.98 (define @t5351 () (tptp.hAPP @t5348 @t5350)) % 6.71/6.98 (define @t5352 () (tptp.hAPP @t5341 @t4928)) % 6.71/6.98 (define @t5353 () (tptp.hAPP @t5352 @t5298)) % 6.71/6.98 (define @t5354 () (tptp.c_List_Oappend @t31)) % 6.71/6.98 (define @t5355 () (tptp.hAPP @t5354 @t4935)) % 6.71/6.98 (define @t5356 () (tptp.hAPP @t5355 @t4934)) % 6.71/6.98 (define @t5357 () (@list @t4934 @t4935 @t30 @t31)) % 6.71/6.98 (define @t5358 () (tptp.hAPP (tptp.hAPP @t5354 @t4934) @t5286)) % 6.71/6.98 (define @t5359 () (@var "V_xs1" $$unsorted)) % 6.71/6.98 (define @t5360 () (tptp.hAPP @t5354 @t5359)) % 6.71/6.98 (define @t5361 () (tptp.hAPP @t4996 @t4925)) % 6.71/6.98 (define @t5362 () (tptp.hAPP @t5352 @t4925)) % 6.71/6.98 (define @t5363 () (@var "V_us" $$unsorted)) % 6.71/6.98 (define @t5364 () (= @t4925 @t5048)) % 6.71/6.98 (define @t5365 () (tptp.hAPP @t5341 @t5048)) % 6.71/6.98 (define @t5366 () (@list @t5048 @t4925 @t4928 @t10)) % 6.71/6.98 (define @t5367 () (@var "B_us" $$unsorted)) % 6.71/6.98 (define @t5368 () (tptp.hAPP @t5341 @t5367)) % 6.71/6.98 (define @t5369 () (tptp.hAPP @t1248 @t4940)) % 6.71/6.98 (define @t5370 () (tptp.hAPP @t5369 @t4939)) % 6.71/6.98 (define @t5371 () (@var "V_vs" $$unsorted)) % 6.71/6.98 (define @t5372 () (tptp.hAPP @t5163 @t4934)) % 6.71/6.98 (define @t5373 () (tptp.c_List_Oappend @t5166)) % 6.71/6.98 (define @t5374 () (tptp.hAPP @t5163 @t5356)) % 6.71/6.98 (define @t5375 () (tptp.hAPP @t5094 @t4925)) % 6.71/6.98 (define @t5376 () (tptp.hAPP (tptp.hAPP @t269 @t5096) @t5375)) % 6.71/6.98 (define @t5377 () (@list @t4925 @t4928 @t10)) % 6.71/6.98 (define @t5378 () (tptp.hAPP (tptp.hAPP @t5354 @t5266) @t4934)) % 6.71/6.98 (define @t5379 () (@list @t4934 @t31)) % 6.71/6.98 (define @t5380 () (and @t5268 @t5347)) % 6.71/6.98 (define @t5381 () (tptp.c_List_Obutlast @t31 @t5356)) % 6.71/6.98 (define @t5382 () (= @t4934 @t5266)) % 6.71/6.98 (define @t5383 () (not @t5382)) % 6.71/6.98 (define @t5384 () (@list @t4935 @t31 @t4934)) % 6.71/6.98 (define @t5385 () (tptp.hAPP @t5355 @t4977)) % 6.71/6.98 (define @t5386 () (tptp.hAPP @t5077 @t5356)) % 6.71/6.98 (define @t5387 () (tptp.hAPP @t919 @t4940)) % 6.71/6.98 (define @t5388 () (tptp.hAPP @t5354 @t5103)) % 6.71/6.98 (define @t5389 () (@list @t4934 @t4935 @t176 @t31)) % 6.71/6.98 (define @t5390 () (tptp.c_List_Olist__update @t31 @t5356)) % 6.71/6.98 (define @t5391 () (tptp.hAPP @t5226 @t4934)) % 6.71/6.98 (define @t5392 () (tptp.c_List_Oremove1 @t10 @t51 @t5362)) % 6.71/6.98 (define @t5393 () (@list @t4925 @t4928 @t51 @t10)) % 6.71/6.98 (define @t5394 () (tptp.c_List_Obutlast @t10 @t4925)) % 6.71/6.98 (define @t5395 () (tptp.hAPP @t5355 @t5292)) % 6.71/6.98 (define @t5396 () (@var "V_vs_2" $$unsorted)) % 6.71/6.98 (define @t5397 () (@var "V_us_2" $$unsorted)) % 6.71/6.98 (define @t5398 () (tptp.hAPP @t5352 @t5397)) % 6.71/6.98 (define @t5399 () (tptp.hAPP @t5341 @t51)) % 6.71/6.98 (define @t5400 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 (tptp.hAPP @t5399 @t261)) (tptp.hAPP @t5399 @t1961))) @t5012))) % 6.71/6.98 (define @t5401 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t261) @t1961)) @t5012))) % 6.71/6.98 (define @t5402 () (tptp.hBOOL (tptp.hAPP @t5240 @t4925))) % 6.71/6.98 (define @t5403 () (tptp.hAPP @t5386 @t176)) % 6.71/6.98 (define @t5404 () (not @t5238)) % 6.71/6.98 (define @t5405 () (tptp.hAPP (tptp.hAPP @t5390 @t176) @t30)) % 6.71/6.98 (define @t5406 () (@var "V_l_H_2" $$unsorted)) % 6.71/6.98 (define @t5407 () (tptp.hAPP @t5341 @t5397)) % 6.71/6.98 (define @t5408 () (tptp.hAPP @t5341 @t261)) % 6.71/6.98 (define @t5409 () (tptp.hAPP @t4975 @t5110)) % 6.71/6.98 (define @t5410 () (tptp.hAPP @t5354 @t5245)) % 6.71/6.98 (define @t5411 () (@list @t4935 @t31 @t209)) % 6.71/6.98 (define @t5412 () (@var "B_vs" $$unsorted)) % 6.71/6.98 (define @t5413 () (@list @t5367 @t5412)) % 6.71/6.98 (define @t5414 () (tptp.hAPP (tptp.c_COMBC @t4706 @t4706 @t4706) @t5341)) % 6.71/6.98 (define @t5415 () (tptp.c_COMBB @t4706 @t4998 @t10)) % 6.71/6.98 (define @t5416 () (tptp.c_List_Orotate1 @t10)) % 6.71/6.98 (define @t5417 () (tptp.hAPP @t5416 @t4928)) % 6.71/6.98 (define @t5418 () (tptp.c_List_Odrop @t31)) % 6.71/6.98 (define @t5419 () (tptp.hAPP (tptp.hAPP @t5418 @t706) @t4935)) % 6.71/6.98 (define @t5420 () (tptp.hAPP @t5418 @t176)) % 6.71/6.98 (define @t5421 () (tptp.hAPP @t5420 @t4935)) % 6.71/6.98 (define @t5422 () (tptp.hAPP @t5418 @t177)) % 6.71/6.98 (define @t5423 () (tptp.hAPP @t5418 @t209)) % 6.71/6.98 (define @t5424 () (tptp.hAPP @t5423 @t4935)) % 6.71/6.98 (define @t5425 () (tptp.hAPP @t5420 @t5211)) % 6.71/6.98 (define @t5426 () (tptp.c_List_Obutlast @t31 @t5421)) % 6.71/6.98 (define @t5427 () (tptp.hAPP @t5418 @t193)) % 6.71/6.98 (define @t5428 () (tptp.hAPP @t5427 @t4935)) % 6.71/6.98 (define @t5429 () (tptp.c_List_Odrop @t10)) % 6.71/6.98 (define @t5430 () (tptp.c_List_Orotate1 @t31)) % 6.71/6.98 (define @t5431 () (tptp.hAPP @t5430 @t4935)) % 6.71/6.98 (define @t5432 () (tptp.hAPP @t5429 @t115)) % 6.71/6.98 (define @t5433 () (tptp.hAPP @t5432 @t4928)) % 6.71/6.98 (define @t5434 () (tptp.hAPP @t5094 @t5433)) % 6.71/6.98 (define @t5435 () (tptp.hAPP @t5420 @t4979)) % 6.71/6.98 (define @t5436 () (tptp.hAPP @t1294 @t209)) % 6.71/6.98 (define @t5437 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 6.71/6.98 (define @t5438 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 6.71/6.98 (define @t5439 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 6.71/6.98 (define @t5440 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 6.71/6.98 (define @t5441 () (tptp.hAPP @t4923 @t5440)) % 6.71/6.98 (define @t5442 () (tptp.hAPP @t4923 @t5439)) % 6.71/6.98 (define @t5443 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5442) @t5441))) % 6.71/6.98 (define @t5444 () (tptp.hAPP @t5409 @t5419)) % 6.71/6.98 (define @t5445 () (tptp.hAPP @t4972 @t30)) % 6.71/6.98 (define @t5446 () (tptp.hAPP (tptp.hAPP @t5418 @t1862) @t4979)) % 6.71/6.98 (define @t5447 () (tptp.hBOOL (tptp.hAPP @t4978 @t1243))) % 6.71/6.98 (define @t5448 () (@list @t5286 @t4934 @t4935 @t10 @t31)) % 6.71/6.98 (define @t5449 () (tptp.hAPP @t5118 @t4935)) % 6.71/6.98 (define @t5450 () (tptp.c_List_Ohd @t31)) % 6.71/6.98 (define @t5451 () (tptp.hAPP @t5450 @t5421)) % 6.71/6.98 (define @t5452 () (@list @t176 @t31 @t4935)) % 6.71/6.98 (define @t5453 () (tptp.hAPP @t5450 @t4935)) % 6.71/6.98 (define @t5454 () (tptp.hAPP @t5450 @t5356)) % 6.71/6.98 (define @t5455 () (=> @t5273 (= @t5454 @t5453))) % 6.71/6.98 (define @t5456 () (@list @t4934 @t31 @t4935)) % 6.71/6.98 (define @t5457 () (tptp.c_List_Ohd @t10)) % 6.71/6.98 (define @t5458 () (tptp.hAPP @t5457 @t4928)) % 6.71/6.98 (define @t5459 () (@list @t10 @t4928)) % 6.71/6.98 (define @t5460 () (tptp.hAPP @t4975 @t5453)) % 6.71/6.98 (define @t5461 () (tptp.c_List_Otl @t31)) % 6.71/6.98 (define @t5462 () (tptp.hAPP @t5461 @t4935)) % 6.71/6.98 (define @t5463 () (tptp.hAPP @t5354 @t5462)) % 6.71/6.98 (define @t5464 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t176 @t4940)) % 6.71/6.98 (define @t5465 () (tptp.c_List_Orotate @t31 @t176)) % 6.71/6.98 (define @t5466 () (tptp.hAPP @t5465 @t4935)) % 6.71/6.98 (define @t5467 () (tptp.hAPP @t5461 @t5421)) % 6.71/6.98 (define @t5468 () (tptp.hAPP @t5420 @t5462)) % 6.71/6.98 (define @t5469 () (tptp.c_List_Orotate @t10 @t115)) % 6.71/6.98 (define @t5470 () (tptp.hAPP @t5469 @t4928)) % 6.71/6.98 (define @t5471 () (tptp.c_Fun_Oid @t4706)) % 6.71/6.98 (define @t5472 () (tptp.hAPP @t5430 @t5466)) % 6.71/6.98 (define @t5473 () (tptp.hAPP @t5102 @t5462)) % 6.71/6.98 (define @t5474 () (tptp.c_List_Otl @t10)) % 6.71/6.98 (define @t5475 () (= @t5466 @t4935)) % 6.71/6.98 (define @t5476 () (tptp.c_List_Ofoldl @t10 @t41 @t2 @t173)) % 6.71/6.98 (define @t5477 () (@list @t5048 @t97 @t51 @t10)) % 6.71/6.98 (define @t5478 () (tptp.c_List_Ofoldl @t10 @t10 @t1313 @t925)) % 6.71/6.98 (define @t5479 () (tptp.class_Groups_Omonoid__add @t10)) % 6.71/6.98 (define @t5480 () (tptp.hAPP @t5322 @t51)) % 6.71/6.98 (define @t5481 () (tptp.hAPP @t5480 @t4928)) % 6.71/6.98 (define @t5482 () (tptp.hAPP @t5476 @t4928)) % 6.71/6.98 (define @t5483 () (tptp.c_List_Oappend @t41)) % 6.71/6.98 (define @t5484 () (tptp.hAPP (tptp.hAPP @t5483 @t4928) @t4925)) % 6.71/6.98 (define @t5485 () (tptp.c_List_Ofoldl @t41 @t10 (tptp.hAPP @t3584 @t2) @t97)) % 6.71/6.98 (define @t5486 () (tptp.hAPP (tptp.hAPP @t3021 @t97) @t5096)) % 6.71/6.98 (define @t5487 () (@list @t4928 @t97 @t2 @t41 @t10)) % 6.71/6.98 (define @t5488 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t3039 @t51) @t4928)) % 6.71/6.98 (define @t5489 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t3129 @t51) @t4928)) % 6.71/6.98 (define @t5490 () (tptp.hAPP @t5169 @t4928)) % 6.71/6.98 (define @t5491 () (@list @t2 @t4928 @t41 @t10)) % 6.71/6.98 (define @t5492 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t10 @t3387)) % 6.71/6.98 (define @t5493 () (tptp.hAPP @t5492 @t51)) % 6.71/6.98 (define @t5494 () (tptp.hAPP @t4972 @t1231)) % 6.71/6.98 (define @t5495 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t41 @t2)) % 6.71/6.98 (define @t5496 () (tptp.hAPP @t5495 @t51)) % 6.71/6.98 (define @t5497 () (tptp.c_List_Olinorder__class_Oinsort__key @t41 @t10 @t2)) % 6.71/6.98 (define @t5498 () (tptp.hAPP @t5497 @t51)) % 6.71/6.98 (define @t5499 () (tptp.hAPP @t5498 @t5329)) % 6.71/6.98 (define @t5500 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t53) @t117))) % 6.71/6.98 (define @t5501 () (tptp.hAPP @t5497 @t97)) % 6.71/6.98 (define @t5502 () (tptp.hAPP @t5498 @t4928)) % 6.71/6.98 (define @t5503 () (tptp.hAPP @t5493 @t4928)) % 6.71/6.98 (define @t5504 () (tptp.hAPP @t5492 @t97)) % 6.71/6.98 (define @t5505 () (tptp.hAPP tptp.c_Nat_OSuc @t4929)) % 6.71/6.98 (define @t5506 () (tptp.hAPP @t5496 @t4928)) % 6.71/6.98 (define @t5507 () (@list @t4928 @t51 @t2 @t10 @t41)) % 6.71/6.98 (define @t5508 () (tptp.hAPP @t5495 @t173)) % 6.71/6.98 (define @t5509 () (tptp.hAPP @t5508 @t4928)) % 6.71/6.98 (define @t5510 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t41 @t10 @t2 @t51 @t4928)) % 6.71/6.98 (define @t5511 () (tptp.hAPP @t794 @t5490)) % 6.71/6.98 (define @t5512 () (tptp.hBOOL (tptp.hAPP @t860 @t5511))) % 6.71/6.98 (define @t5513 () (@list @t4928 @t41 @t51 @t2 @t10)) % 6.71/6.98 (define @t5514 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t10 @t3387 @t51 @t4928)) % 6.71/6.98 (define @t5515 () (tptp.c_List_Olast @t31 @t4935)) % 6.71/6.98 (define @t5516 () (tptp.c_List_Olast @t31 @t5213)) % 6.71/6.98 (define @t5517 () (tptp.c_List_Olast @t31 @t4979)) % 6.71/6.98 (define @t5518 () (=> @t5273 (= @t5517 @t5515))) % 6.71/6.98 (define @t5519 () (=> @t5272 (= @t5517 @t30))) % 6.71/6.98 (define @t5520 () (tptp.c_List_Olast @t31 @t5356)) % 6.71/6.98 (define @t5521 () (=> @t5383 (= @t5520 (tptp.c_List_Olast @t31 @t4934)))) % 6.71/6.98 (define @t5522 () (=> @t5382 (= @t5520 @t5515))) % 6.71/6.98 (define @t5523 () (@var "V_as_2" $$unsorted)) % 6.71/6.98 (define @t5524 () (@var "B_l" $$unsorted)) % 6.71/6.98 (define @t5525 () (= @t173 @t5267)) % 6.71/6.98 (define @t5526 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t5010) (tptp.hAPP @t5009 @t2724)) @t4928)) % 6.71/6.98 (define @t5527 () (tptp.c_List_Omap @t10 @t41)) % 6.71/6.98 (define @t5528 () (tptp.hAPP @t5527 @t2)) % 6.71/6.98 (define @t5529 () (tptp.c_Fun_Oinj__on @t4706 @t5150 @t5528 @t5061)) % 6.71/6.98 (define @t5530 () (tptp.c_List_Olast @t10 @t4928)) % 6.71/6.98 (define @t5531 () (tptp.hAPP @t5528 @t4928)) % 6.71/6.98 (define @t5532 () (@list @t2 @t41 @t10 @t4928)) % 6.71/6.98 (define @t5533 () (tptp.c_List_Omap @t2989 @t41)) % 6.71/6.98 (define @t5534 () (tptp.hAPP @t5533 @t2)) % 6.71/6.98 (define @t5535 () (tptp.hAPP @t5534 @t4928)) % 6.71/6.98 (define @t5536 () (tptp.c_List_Omap @t41 @t10)) % 6.71/6.98 (define @t5537 () (tptp.hAPP @t5536 @t2)) % 6.71/6.98 (define @t5538 () (tptp.hAPP @t5537 @t4928)) % 6.71/6.98 (define @t5539 () (@list @t4928 @t2 @t41 @t115 @t10)) % 6.71/6.98 (define @t5540 () (@list @t4928 @t2 @t10 @t41)) % 6.71/6.98 (define @t5541 () (tptp.tc_fun @t3425 @t2097)) % 6.71/6.98 (define @t5542 () (tptp.hAPP (tptp.c_List_Omap @t3425 @t41) @t1)) % 6.71/6.98 (define @t5543 () (tptp.c_List_Omap @t2989 @t10)) % 6.71/6.98 (define @t5544 () (tptp.hAPP @t5543 @t2)) % 6.71/6.98 (define @t5545 () (tptp.hAPP @t5157 (tptp.hAPP @t5544 @t4928))) % 6.71/6.98 (define @t5546 () (tptp.c_List_Ozip @t41 @t2989)) % 6.71/6.98 (define @t5547 () (tptp.hAPP (tptp.c_List_Omap @t3487 @t10) @t2)) % 6.71/6.98 (define @t5548 () (tptp.tc_fun @t3425 @t3487)) % 6.71/6.98 (define @t5549 () (tptp.tc_fun @t3425 @t2989)) % 6.71/6.98 (define @t5550 () (tptp.tc_fun @t2989 @t2097)) % 6.71/6.98 (define @t5551 () (= @t4928 @t5324)) % 6.71/6.98 (define @t5552 () (@list @t4928 @t2 @t41 @t10)) % 6.71/6.98 (define @t5553 () (tptp.hAPP (tptp.hAPP @t5536 @t1) @t4928)) % 6.71/6.98 (define @t5554 () (tptp.hAPP @t5151 @t4928)) % 6.71/6.98 (define @t5555 () (tptp.tc_List_Olist @t2989)) % 6.71/6.98 (define @t5556 () (tptp.hAPP @t5179 @t5538)) % 6.71/6.98 (define @t5557 () (tptp.hAPP @t5179 @t5553)) % 6.71/6.98 (define @t5558 () (@list @t4928 @t1 @t2 @t41 @t10)) % 6.71/6.98 (define @t5559 () (tptp.hAPP @t5528 @t4925)) % 6.71/6.98 (define @t5560 () (= (= @t5531 @t5559) @t5037)) % 6.71/6.98 (define @t5561 () (@list @t4925 @t4928 @t2 @t41 @t10)) % 6.71/6.98 (define @t5562 () (tptp.hAPP @t5537 @t4925)) % 6.71/6.98 (define @t5563 () (= @t5538 @t5562)) % 6.71/6.98 (define @t5564 () (@list @t4925 @t4928 @t2 @t10 @t41)) % 6.71/6.98 (define @t5565 () (tptp.c_List_Omap @t10 @t10)) % 6.71/6.98 (define @t5566 () (tptp.hAPP @t5565 @t3387)) % 6.71/6.98 (define @t5567 () (tptp.c_List_Otake @t41)) % 6.71/6.98 (define @t5568 () (tptp.hAPP @t5567 @t115)) % 6.71/6.98 (define @t5569 () (tptp.hAPP (tptp.c_List_Odrop @t41) @t115)) % 6.71/6.98 (define @t5570 () (tptp.hAPP @t5543 @t3423)) % 6.71/6.98 (define @t5571 () (tptp.hAPP @t5533 @t1)) % 6.71/6.98 (define @t5572 () (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t5376)) % 6.71/6.98 (define @t5573 () (tptp.c_List_Odistinct @t41)) % 6.71/6.98 (define @t5574 () (tptp.c_Set_Oimage @t4706 @t23 @t5094)) % 6.71/6.98 (define @t5575 () (tptp.c_List_Omonoid__add__class_Olistsum @t41)) % 6.71/6.98 (define @t5576 () (tptp.hAPP @t5575 @t5531)) % 6.71/6.98 (define @t5577 () (tptp.c_Nitpick_Osetsum_H @t10 @t41 @t2 @t21)) % 6.71/6.98 (define @t5578 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t890)) % 6.71/6.98 (define @t5579 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t193)) % 6.71/6.98 (define @t5580 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t176)) % 6.71/6.98 (define @t5581 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/6.98 (define @t5582 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t181)) % 6.71/6.98 (define @t5583 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t115)) % 6.71/6.98 (define @t5584 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t97)) % 6.71/6.98 (define @t5585 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1003 @t97) @t964))) % 6.71/6.98 (define @t5586 () (tptp.hAPP (tptp.c_List_Omap @t2097 @t10) @t3985)) % 6.71/6.98 (define @t5587 () (= @t4929 @t5152)) % 6.71/6.98 (define @t5588 () (@list @t4925 @t41 @t4928 @t10)) % 6.71/6.98 (define @t5589 () (tptp.hAPP (tptp.c_List_Omap @t2097 @t41) @t3984)) % 6.71/6.98 (define @t5590 () (tptp.hAPP @t5589 @t5048)) % 6.71/6.98 (define @t5591 () (tptp.hAPP @t5586 @t5048)) % 6.71/6.98 (define @t5592 () (tptp.hAPP @t5094 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5010 @t10) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4928))) % 6.71/6.98 (define @t5593 () (tptp.c_Random_Opick @t10 @t4928)) % 6.71/6.98 (define @t5594 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5010 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t4928))) % 6.71/6.98 (define @t5595 () (@list @t4928 @t10 @t220)) % 6.71/6.98 (define @t5596 () (@list @t4928 @t2 @t10)) % 6.71/6.98 (define @t5597 () (tptp.c_List_Oupto @t151 @t227)) % 6.71/6.98 (define @t5598 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t10) @t2)) % 6.71/6.98 (define @t5599 () (@list @t3975 @t4928 @t10)) % 6.71/6.98 (define @t5600 () (tptp.tc_prod @t10 @t4015)) % 6.71/6.98 (define @t5601 () (tptp.hAPP (tptp.c_COMBB @t10 (tptp.tc_fun @t4015 @t5600) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t10 @t4015))) % 6.71/6.98 (define @t5602 () (tptp.c_Product__Type_Oscomp @t4015 tptp.tc_Code__Numeral_Ocode__numeral @t4015 @t5600)) % 6.71/6.98 (define @t5603 () (tptp.class_Groups_Omonoid__add @t41)) % 6.71/6.98 (define @t5604 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t208)) % 6.71/6.98 (define @t5605 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t193)) % 6.71/6.98 (define @t5606 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t176)) % 6.71/6.98 (define @t5607 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t51)) % 6.71/6.98 (define @t5608 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t181)) % 6.71/6.98 (define @t5609 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t115)) % 6.71/6.98 (define @t5610 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t209)) % 6.71/6.98 (define @t5611 () (@var "V_xq_2" $$unsorted)) % 6.71/6.98 (define @t5612 () (@var "V_no_2" $$unsorted)) % 6.71/6.98 (define @t5613 () (tptp.hAPP @t5094 @t5612)) % 6.71/6.98 (define @t5614 () (@var "V_yes_2" $$unsorted)) % 6.71/6.98 (define @t5615 () (tptp.hAPP @t5094 @t5614)) % 6.71/6.98 (define @t5616 () (tptp.c_List_Opartition @t10 @t60 @t4928)) % 6.71/6.98 (define @t5617 () (= @t5616 (tptp.hAPP (tptp.hAPP @t4930 @t5614) @t5612))) % 6.71/6.98 (define @t5618 () (@list @t5612 @t5614 @t4928 @t60 @t10)) % 6.71/6.98 (define @t5619 () (tptp.tc_fun @t4713 @t4713)) % 6.71/6.98 (define @t5620 () (tptp.tc_fun @t4706 @t5619)) % 6.71/6.98 (define @t5621 () (@list @t4928 @t51 @t60 @t10)) % 6.71/6.98 (define @t5622 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4945)) % 6.71/6.98 (define @t5623 () (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t264 @t3621) @t3622))) % 6.71/6.98 (define @t5624 () (tptp.hAPP @t4996 @t227)) % 6.71/6.98 (define @t5625 () (tptp.c_List_Olistsp @t10 @t21)) % 6.71/6.98 (define @t5626 () (tptp.hBOOL (tptp.hAPP @t5625 @t4928))) % 6.71/6.98 (define @t5627 () (tptp.c_List_Olistsp @t10 @t20)) % 6.71/6.98 (define @t5628 () (tptp.c_List_Olistsp @t10 @t320)) % 6.71/6.98 (define @t5629 () (tptp.c_Enum_Oproduct @t10 @t41 @t4928 @t4925)) % 6.71/6.98 (define @t5630 () (tptp.hBOOL (tptp.hAPP @t4345 @t3))) % 6.71/6.98 (define @t5631 () (tptp.hAPP @t3306 @t3)) % 6.71/6.98 (define @t5632 () (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t4928 @t4925)) % 6.71/6.98 (define @t5633 () (@list @t4925 @t4928 @t60 @t41 @t10)) % 6.71/6.98 (define @t5634 () (@var "V_bs_2" $$unsorted)) % 6.71/6.98 (define @t5635 () (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t173 @t248)) % 6.71/6.98 (define @t5636 () (@var "V_uu" $$unsorted)) % 6.71/6.98 (define @t5637 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t5068 @t2934)) (tptp.hAPP @t5155 @t2934)))) % 6.71/6.98 (define @t5638 () (tptp.hAPP @t599 @t2934)) % 6.71/6.98 (define @t5639 () (@list @t2934 @t4925 @t4928 @t60 @t41 @t10)) % 6.71/6.98 (define @t5640 () (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5234 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t41 @t4925) @t220) @t97))) % 6.71/6.99 (define @t5641 () (tptp.c_Enum_Osublists @t10 @t4928)) % 6.71/6.99 (define @t5642 () (tptp.c_List_Oset @t4706)) % 6.71/6.99 (define @t5643 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t4937))) % 6.71/6.99 (define @t5644 () (tptp.c_List_Olist_ONil @t4937)) % 6.71/6.99 (define @t5645 () (tptp.c_List_Olist_OCons @t4937)) % 6.71/6.99 (define @t5646 () (tptp.hAPP @t5645 @t5266)) % 6.71/6.99 (define @t5647 () (tptp.hAPP @t5646 @t5644)) % 6.71/6.99 (define @t5648 () (tptp.tc_List_Olist @t4706)) % 6.71/6.99 (define @t5649 () (tptp.c_List_Omap @t4706 @t4706)) % 6.71/6.99 (define @t5650 () (tptp.c_Enum_On__lists @t10 @t115 @t4928)) % 6.71/6.99 (define @t5651 () (tptp.hAPP @t5642 @t5650)) % 6.71/6.99 (define @t5652 () (tptp.c_HOL_OThe @t10 @t60)) % 6.71/6.99 (define @t5653 () (tptp.c_Enum_On__lists @t31 @t176 @t4935)) % 6.71/6.99 (define @t5654 () (tptp.c_Enum_On__lists @t31 @t176 @t5266)) % 6.71/6.99 (define @t5655 () (tptp.hAPP @t4923 @t173)) % 6.71/6.99 (define @t5656 () (= @t5655 (tptp.hAPP @t5151 @t248))) % 6.71/6.99 (define @t5657 () (tptp.c_List_Oremdups @t10 @t4928)) % 6.71/6.99 (define @t5658 () (tptp.c_List_OremoveAll @t10 @t51)) % 6.71/6.99 (define @t5659 () (tptp.hAPP @t5658 @t4928)) % 6.71/6.99 (define @t5660 () (= (tptp.hAPP @t5528 @t5659) (tptp.hAPP (tptp.c_List_OremoveAll @t41 @t53) @t5531))) % 6.71/6.99 (define @t5661 () (@list @t4928 @t51 @t2 @t41 @t10)) % 6.71/6.99 (define @t5662 () (tptp.c_List_Oremdups @t31 @t4935)) % 6.71/6.99 (define @t5663 () (tptp.c_List_OremoveAll @t31 @t30)) % 6.71/6.99 (define @t5664 () (tptp.hAPP @t5663 @t4935)) % 6.71/6.99 (define @t5665 () (= @t5657 @t4928)) % 6.71/6.99 (define @t5666 () (tptp.hAPP @t4923 @t5657)) % 6.71/6.99 (define @t5667 () (= @t51 @t5267)) % 6.71/6.99 (define @t5668 () (tptp.c_List_Oremdups @t10 @t51)) % 6.71/6.99 (define @t5669 () (tptp.hAPP @t5663 @t5227)) % 6.71/6.99 (define @t5670 () (tptp.c_List_Oremdups @t10 @t4992)) % 6.71/6.99 (define @t5671 () (@var "V_xss_2" $$unsorted)) % 6.71/6.99 (define @t5672 () (tptp.hAPP @t5642 @t5671)) % 6.71/6.99 (define @t5673 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4706 @t23)) % 6.71/6.99 (define @t5674 () (tptp.c_List_Oconcat @t10 @t5671)) % 6.71/6.99 (define @t5675 () (@list @t5671 @t10)) % 6.71/6.99 (define @t5676 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t41 @t2 @t4928)) % 6.71/6.99 (define @t5677 () (tptp.c_List_Oconcat @t31 @t4935)) % 6.71/6.99 (define @t5678 () (= @t3 @t5267)) % 6.71/6.99 (define @t5679 () (tptp.hAPP @t4996 @t3)) % 6.71/6.99 (define @t5680 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5679 @t5672)) @t5678))) % 6.71/6.99 (define @t5681 () (tptp.hAPP (tptp.c_List_Omap @t5150 @t4706) @t5537)) % 6.71/6.99 (define @t5682 () (tptp.hAPP @t5681 @t4928)) % 6.71/6.99 (define @t5683 () (tptp.hAPP (tptp.c_List_Omap @t4706 tptp.tc_Nat_Onat) @t4923)) % 6.71/6.99 (define @t5684 () (tptp.hAPP @t5642 @t4928)) % 6.71/6.99 (define @t5685 () (tptp.c_List_Oconcat @t10 @t4928)) % 6.71/6.99 (define @t5686 () (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t3387 @t4928)) % 6.71/6.99 (define @t5687 () (= @t5685 (tptp.c_List_Oconcat @t10 @t4925))) % 6.71/6.99 (define @t5688 () (tptp.c_Nat_Osize__class_Osize @t5648)) % 6.71/6.99 (define @t5689 () (tptp.hAPP @t5688 @t4928)) % 6.71/6.99 (define @t5690 () (= @t5689 (tptp.hAPP @t5688 @t4925))) % 6.71/6.99 (define @t5691 () (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 @t3) (tptp.hAPP (tptp.c_List_Oset @t4713) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4706 @t4706) @t4928) @t4925)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4961 @t4952) @t3))))) % 6.71/6.99 (define @t5692 () (tptp.c_List_Omap @t41 @t4706)) % 6.71/6.99 (define @t5693 () (tptp.tc_fun @t4706 @t5648)) % 6.71/6.99 (define @t5694 () (tptp.c_List_Omap @t4706 @t5648)) % 6.71/6.99 (define @t5695 () (tptp.c_List_Olist_ONil @t4706)) % 6.71/6.99 (define @t5696 () (tptp.c_List_Olist_OCons @t4706)) % 6.71/6.99 (define @t5697 () (tptp.c_List_Oconcat @t4706 (tptp.hAPP (tptp.hAPP @t5694 (tptp.c_List_Olist_Olist__case @t5648 @t10 @t5695 (tptp.hAPP (tptp.c_COMBK @t5693 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t5648 @t5648) @t5696) @t5695)))) @t5671))) % 6.71/6.99 (define @t5698 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5649 (tptp.c_List_Olist_Olist__case @t4706 @t10 @t5267 (tptp.hAPP (tptp.hAPP @t5415 (tptp.c_COMBK @t4706 @t4706)) @t5309))) @t5671))) % 6.71/6.99 (define @t5699 () (tptp.hAPP (tptp.hAPP @t5696 @t4992) @t5671)) % 6.71/6.99 (define @t5700 () (= (tptp.c_List_Otranspose @t10 @t5699) (tptp.hAPP (tptp.hAPP @t5696 (tptp.hAPP @t4991 @t5698)) (tptp.c_List_Otranspose @t10 (tptp.hAPP (tptp.hAPP @t5696 @t4928) @t5697))))) % 6.71/6.99 (define @t5701 () (@list @t5671 @t4928 @t51 @t10)) % 6.71/6.99 (define @t5702 () (tptp.hAPP (tptp.hAPP @t4971 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t4706 tptp.tc_HOL_Obool) tptp.c_fequal) @t5267))) % 6.71/6.99 (define @t5703 () (tptp.c_List_Ofilter @t4706 @t5702)) % 6.71/6.99 (define @t5704 () (tptp.hAPP @t5703 @t5671)) % 6.71/6.99 (define @t5705 () (tptp.c_List_Omap @t4706 @t10)) % 6.71/6.99 (define @t5706 () (tptp.c_List_Ofilter @t10 @t2934)) % 6.71/6.99 (define @t5707 () (@list @t4928 @t2934 @t10)) % 6.71/6.99 (define @t5708 () (tptp.c_List_Ofilter @t10 @t60)) % 6.71/6.99 (define @t5709 () (tptp.hAPP @t5708 @t4928)) % 6.71/6.99 (define @t5710 () (tptp.hAPP @t5094 @t5709)) % 6.71/6.99 (define @t5711 () (@list @t4928 @t60 @t10)) % 6.71/6.99 (define @t5712 () (tptp.hAPP @t4923 @t5709)) % 6.71/6.99 (define @t5713 () (tptp.c_List_Ofilter @t10 @t57)) % 6.71/6.99 (define @t5714 () (tptp.hAPP @t5713 @t4928)) % 6.71/6.99 (define @t5715 () (not @t63)) % 6.71/6.99 (define @t5716 () (@list @t4928 @t10 @t51 @t60)) % 6.71/6.99 (define @t5717 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10 tptp.c_fNot)) % 6.71/6.99 (define @t5718 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t41 @t60) @t2)) % 6.71/6.99 (define @t5719 () (tptp.hAPP (tptp.c_List_Ofilter @t41 @t5718) @t4928)) % 6.71/6.99 (define @t5720 () (tptp.hAPP @t5708 @t5538)) % 6.71/6.99 (define @t5721 () (@list @t4928 @t2 @t41 @t60 @t10)) % 6.71/6.99 (define @t5722 () (tptp.hAPP @t5708 @t4992)) % 6.71/6.99 (define @t5723 () (tptp.hAPP @t5708 @t4925)) % 6.71/6.99 (define @t5724 () (@list @t4925 @t4928 @t60 @t10)) % 6.71/6.99 (define @t5725 () (@var "V_xss" $$unsorted)) % 6.71/6.99 (define @t5726 () (tptp.c_List_Ofilter @t4706 (tptp.hAPP (tptp.hAPP @t4948 @t1465) @t4923))) % 6.71/6.99 (define @t5727 () (tptp.hAPP @t5726 @t4928)) % 6.71/6.99 (define @t5728 () (tptp.hAPP @t5705 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 tptp.tc_Nat_Onat @t10) @t5066) @t220))) % 6.71/6.99 (define @t5729 () (tptp.c_List_Otranspose @t10 @t4928)) % 6.71/6.99 (define @t5730 () (tptp.c_List_Onth @t4706)) % 6.71/6.99 (define @t5731 () (tptp.hAPP (tptp.hAPP @t5730 @t5729) @t220)) % 6.71/6.99 (define @t5732 () (tptp.hAPP @t5688 @t5729)) % 6.71/6.99 (define @t5733 () (tptp.hBOOL (tptp.hAPP @t1465 @t5732))) % 6.71/6.99 (define @t5734 () (@list @t97 @t4928 @t10)) % 6.71/6.99 (define @t5735 () (tptp.c_List_Osublist @t10 @t4928 @t3975)) % 6.71/6.99 (define @t5736 () (tptp.c_Wellfounded_Oaccp @t5648 (tptp.c_List_Otranspose__rel @t10))) % 6.71/6.99 (define @t5737 () (tptp.hAPP (tptp.hAPP @t5696 @t5267) @t5671)) % 6.71/6.99 (define @t5738 () (@var "V_is_2" $$unsorted)) % 6.71/6.99 (define @t5739 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 6.71/6.99 (define @t5740 () (tptp.hAPP (tptp.c_List_Ozip @t10 tptp.tc_Nat_Onat) @t4928)) % 6.71/6.99 (define @t5741 () (tptp.c_Product__Type_Osnd @t10 tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5742 () (tptp.tc_prod @t10 tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5743 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5742) @t60)) % 6.71/6.99 (define @t5744 () (tptp.hAPP (tptp.c_List_Omap @t5742 @t10) (tptp.c_Product__Type_Ofst @t10 tptp.tc_Nat_Onat))) % 6.71/6.99 (define @t5745 () (tptp.hAPP (tptp.c_List_Ofilter @t5010 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t10 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t23 tptp.tc_Code__Numeral_Ocode__numeral) @t4411) @t4016))) @t4928)) % 6.71/6.99 (define @t5746 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 @t4706) @t3157) @t4923)) % 6.71/6.99 (define @t5747 () (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 @t5150)) % 6.71/6.99 (define @t5748 () (tptp.hAPP @t5747 @t3157)) % 6.71/6.99 (define @t5749 () (tptp.c_List_Ofoldr @t41 @t10 @t2 @t4928 @t173)) % 6.71/6.99 (define @t5750 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1313 @t173) @t4928)) % 6.71/6.99 (define @t5751 () (tptp.c_List_Ofoldr @t10 @t10 @t1313 @t4928 @t925)) % 6.71/6.99 (define @t5752 () (@list @t4928 @t173 @t10)) % 6.71/6.99 (define @t5753 () (tptp.c_List_Oupt @t890 @t4929)) % 6.71/6.99 (define @t5754 () (tptp.hAPP @t5740 @t5753)) % 6.71/6.99 (define @t5755 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4385 @t5742) @t1003)) % 6.71/6.99 (define @t5756 () (tptp.c_COMBC @t5742 @t757 tptp.tc_HOL_Obool)) % 6.71/6.99 (define @t5757 () (tptp.c_List_Ofilter @t5742 (tptp.hAPP (tptp.hAPP @t5756 (tptp.hAPP @t5755 @t5741)) @t21))) % 6.71/6.99 (define @t5758 () (tptp.c_List_Oupt @t220 @t902)) % 6.71/6.99 (define @t5759 () (tptp.hAPP @t5184 @t5758)) % 6.71/6.99 (define @t5760 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5761 () (tptp.c_List_Oupt @t209 @t1499)) % 6.71/6.99 (define @t5762 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5763 () (tptp.c_List_Oupt @t209 @t211)) % 6.71/6.99 (define @t5764 () (tptp.c_List_Oappend tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5765 () (tptp.hAPP @t5764 @t5763)) % 6.71/6.99 (define @t5766 () (=> @t213 (= @t5761 (tptp.hAPP @t5765 (tptp.hAPP (tptp.hAPP @t5762 @t211) @t5760))))) % 6.71/6.99 (define @t5767 () (= @t5763 @t5760)) % 6.71/6.99 (define @t5768 () (=> @t710 (= @t5763 (tptp.hAPP (tptp.hAPP @t5762 @t209) (tptp.c_List_Oupt @t706 @t211))))) % 6.71/6.99 (define @t5769 () (tptp.c_List_Oupt @t181 @t115)) % 6.71/6.99 (define @t5770 () (tptp.hAPP @t1861 @t176)) % 6.71/6.99 (define @t5771 () (tptp.hAPP @t1861 @t193)) % 6.71/6.99 (define @t5772 () (tptp.c_List_Oupt @t5771 @t5770)) % 6.71/6.99 (define @t5773 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5771) @t5770))) % 6.71/6.99 (define @t5774 () (tptp.c_List_Oupt @t890 @t115)) % 6.71/6.99 (define @t5775 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t10)) % 6.71/6.99 (define @t5776 () (tptp.hAPP @t2936 (tptp.hAPP @t5184 @t5769))) % 6.71/6.99 (define @t5777 () (tptp.hAPP (tptp.hAPP @t5775 @t2) @t5769)) % 6.71/6.99 (define @t5778 () (tptp.hAPP @t5179 @t5777)) % 6.71/6.99 (define @t5779 () (tptp.hAPP @t5730 @t4928)) % 6.71/6.99 (define @t5780 () (= @t4928 @t5695)) % 6.71/6.99 (define @t5781 () (tptp.c_List_Oremove1 @t10 @t173 @t4928)) % 6.71/6.99 (define @t5782 () (tptp.c_List_Olinorder__class_Osorted @t41 @t5531)) % 6.71/6.99 (define @t5783 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4928)) % 6.71/6.99 (define @t5784 () (tptp.c_List_Olinorder__class_Osorted @t31 @t4935)) % 6.71/6.99 (define @t5785 () (tptp.hAPP @t5226 @t5286)) % 6.71/6.99 (define @t5786 () (tptp.hAPP @t4989 @t5048)) % 6.71/6.99 (define @t5787 () (=> (= @t5096 @t5375) @t5037)) % 6.71/6.99 (define @t5788 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4925)) % 6.71/6.99 (define @t5789 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5538)) % 6.71/6.99 (define @t5790 () (@list @t51 @t4928 @t2 @t41 @t10)) % 6.71/6.99 (define @t5791 () (tptp.hAPP @t1 @t4928)) % 6.71/6.99 (define @t5792 () (tptp.c_List_Ofilter @t41 @t60)) % 6.71/6.99 (define @t5793 () (tptp.hAPP @t5792 @t4928)) % 6.71/6.99 (define @t5794 () (forall @t7 (=> @t5130 @t2398))) % 6.71/6.99 (define @t5795 () (tptp.c_List_Olinorder__class_Osorted @t10 @t4992)) % 6.71/6.99 (define @t5796 () (tptp.hBOOL (tptp.hAPP @t707 @t4940))) % 6.71/6.99 (define @t5797 () (@list @t211 @t209 @t4935 @t31)) % 6.71/6.99 (define @t5798 () (tptp.hBOOL (tptp.hAPP @t1532 @t993))) % 6.71/6.99 (define @t5799 () (tptp.hAPP @t5779 @t220)) % 6.71/6.99 (define @t5800 () (tptp.hAPP @t5726 @t5729)) % 6.71/6.99 (define @t5801 () (tptp.hBOOL (tptp.hAPP @t1465 @t5689))) % 6.71/6.99 (define @t5802 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5803 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5802 (tptp.hAPP @t5683 @t4928)))) % 6.71/6.99 (define @t5804 () (@list @t220 @t4928 @t10)) % 6.71/6.99 (define @t5805 () (tptp.c_List_Orev @t10)) % 6.71/6.99 (define @t5806 () (tptp.hAPP @t5805 @t4928)) % 6.71/6.99 (define @t5807 () (tptp.c_List_Orev @t31)) % 6.71/6.99 (define @t5808 () (= @t4928 @t5298)) % 6.71/6.99 (define @t5809 () (tptp.hAPP @t5807 @t4935)) % 6.71/6.99 (define @t5810 () (tptp.c_List_Orev @t41)) % 6.71/6.99 (define @t5811 () (tptp.hAPP @t5810 @t4928)) % 6.71/6.99 (define @t5812 () (tptp.hAPP @t5805 @t5538)) % 6.71/6.99 (define @t5813 () (tptp.hAPP @t5810 @t4925)) % 6.71/6.99 (define @t5814 () (tptp.hAPP @t5805 @t4925)) % 6.71/6.99 (define @t5815 () (tptp.hAPP @t5215 @t209)) % 6.71/6.99 (define @t5816 () (@list @t4935 @t209 @t31)) % 6.71/6.99 (define @t5817 () (tptp.c_List_Ofoldr @t10 @t10 @t3129 @t4928 @t97)) % 6.71/6.99 (define @t5818 () (tptp.c_List_OtakeWhile @t10 @t60 @t4928)) % 6.71/6.99 (define @t5819 () (tptp.hAPP @t4923 @t5818)) % 6.71/6.99 (define @t5820 () (tptp.c_List_OtakeWhile @t10 @t60 @t4992)) % 6.71/6.99 (define @t5821 () (tptp.c_List_OtakeWhile @t10 @t60 @t5362)) % 6.71/6.99 (define @t5822 () (@list @t4925 @t60 @t4928 @t51 @t10)) % 6.71/6.99 (define @t5823 () (@list @t4928 @t60 @t10 @t902)) % 6.71/6.99 (define @t5824 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t41)) % 6.71/6.99 (define @t5825 () (tptp.hAPP (tptp.hAPP @t5824 (tptp.hAPP @t591 @t771)) @t2)) % 6.71/6.99 (define @t5826 () (tptp.hAPP @t4418 @t4729)) % 6.71/6.99 (define @t5827 () (tptp.c_List_OdropWhile @t10 @t60 @t4928)) % 6.71/6.99 (define @t5828 () (tptp.hAPP @t5341 @t5818)) % 6.71/6.99 (define @t5829 () (tptp.hAPP @t4923 @t5827)) % 6.71/6.99 (define @t5830 () (= @t5827 @t5267)) % 6.71/6.99 (define @t5831 () (tptp.c_List_OdropWhile @t10 @t60 @t4992)) % 6.71/6.99 (define @t5832 () (tptp.c_List_OdropWhile @t10 @t60 @t5362)) % 6.71/6.99 (define @t5833 () (tptp.hBOOL (tptp.hAPP @t60 @t5138))) % 6.71/6.99 (define @t5834 () (@list @t60 @t4928 @t10 @t115)) % 6.71/6.99 (define @t5835 () (tptp.c_List_Oinsert @t10 @t51 @t4928)) % 6.71/6.99 (define @t5836 () (=> @t5114 (= @t5835 @t4992))) % 6.71/6.99 (define @t5837 () (=> @t5113 (= @t5835 @t4928))) % 6.71/6.99 (define @t5838 () (tptp.c_List_Oinsert @t31 @t30 @t4935)) % 6.71/6.99 (define @t5839 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5692 @t2) @t4928))) % 6.71/6.99 (define @t5840 () (tptp.c_List_Omaps @t41 @t10 @t2 @t4928)) % 6.71/6.99 (define @t5841 () (@var "B_zs" $$unsorted)) % 6.71/6.99 (define @t5842 () (tptp.hAPP @t5094 @t5841)) % 6.71/6.99 (define @t5843 () (tptp.hAPP @t5094 @t5051)) % 6.71/6.99 (define @t5844 () (@list @t5841)) % 6.71/6.99 (define @t5845 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t5051) @t5684))) % 6.71/6.99 (define @t5846 () (@list @t5051)) % 6.71/6.99 (define @t5847 () (@var "V_fs_2" $$unsorted)) % 6.71/6.99 (define @t5848 () (tptp.tc_fun @t10 tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5849 () (tptp.hBOOL (tptp.hAPP @t3959 (tptp.c_List_Omeasures @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5848) @t2) @t5847))))) % 6.71/6.99 (define @t5850 () (tptp.c_List_Omeasures @t10 @t5847)) % 6.71/6.99 (define @t5851 () (tptp.hBOOL (tptp.hAPP @t3959 @t5850))) % 6.71/6.99 (define @t5852 () (@list @t5847 @t10 @t97 @t51 @t2)) % 6.71/6.99 (define @t5853 () (@list @t5847 @t10)) % 6.71/6.99 (define @t5854 () (tptp.tc_List_Olist @t5848)) % 6.71/6.99 (define @t5855 () (tptp.c_COMBS @t10 @t41 tptp.tc_HOL_Obool)) % 6.71/6.99 (define @t5856 () (tptp.c_Enum_Oenum__class_Oenum__ex @t10)) % 6.71/6.99 (define @t5857 () (tptp.class_Enum_Oenum @t10)) % 6.71/6.99 (define @t5858 () (and @t121 @t5857)) % 6.71/6.99 (define @t5859 () (and (tptp.class_Enum_Oenum @t41) @t5857)) % 6.71/6.99 (define @t5860 () (tptp.hBOOL (tptp.hAPP @t5856 @t60))) % 6.71/6.99 (define @t5861 () (tptp.hAPP (tptp.hAPP @t5567 @t5153) @t4925)) % 6.71/6.99 (define @t5862 () (tptp.hAPP (tptp.hAPP @t5086 @t5153) @t4928)) % 6.71/6.99 (define @t5863 () (@var "V_seed_2" $$unsorted)) % 6.71/6.99 (define @t5864 () (@var "V_size_2" $$unsorted)) % 6.71/6.99 (define @t5865 () (@var "V_nrandom_2" $$unsorted)) % 6.71/6.99 (define @t5866 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3274 @t5865) @t5864) @t5863)) % 6.71/6.99 (define @t5867 () (@list @t4925 @t60 @t4928 @t10)) % 6.71/6.99 (define @t5868 () (exists @t5413 (and (= @t4925 (tptp.hAPP @t5368 (tptp.hAPP @t4991 @t5412))) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t5094 @t5367))) @t4412)) @t63 (= @t4928 (tptp.hAPP @t5708 @t5412))))) % 6.71/6.99 (define @t5869 () (tptp.c_Enum_Oenum__class_Oenum__all @t10)) % 6.71/6.99 (define @t5870 () (tptp.hBOOL (tptp.hAPP @t5869 @t60))) % 6.71/6.99 (define @t5871 () (tptp.hBOOL (tptp.hAPP @t60 @t5069))) % 6.71/6.99 (define @t5872 () (tptp.c_List_Olist__ex @t10 @t60 @t4928)) % 6.71/6.99 (define @t5873 () (= @t4928 (tptp.hAPP (tptp.hAPP @t5341 @t5051) (tptp.hAPP @t4991 @t5841)))) % 6.71/6.99 (define @t5874 () (@list @t5051 @t5841)) % 6.71/6.99 (define @t5875 () (exists @t7 (and @t5130 @t168))) % 6.71/6.99 (define @t5876 () (tptp.c_List_Olist__all @t10 @t60 @t4928)) % 6.71/6.99 (define @t5877 () (tptp.c_FunDef_Ois__measure @t10 @t2)) % 6.71/6.99 (define @t5878 () (@list @t41 @t2 @t10)) % 6.71/6.99 (define @t5879 () (tptp.c_List_Olist__ex1 @t10 @t60 @t4928)) % 6.71/6.99 (define @t5880 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 6.71/6.99 (define @t5881 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t10)) % 6.71/6.99 (define @t5882 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5881) @t2) @t220)) % 6.71/6.99 (define @t5883 () (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP @t2734 @t220) @t2724))) % 6.71/6.99 (define @t5884 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t41 @t10 @t51 @t2) @t220)) % 6.71/6.99 (define @t5885 () (= @t220 @t2721)) % 6.71/6.99 (define @t5886 () (not @t5885)) % 6.71/6.99 (define @t5887 () (@list @t2 @t51 @t10 @t41 @t220)) % 6.71/6.99 (define @t5888 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2108)) % 6.71/6.99 (define @t5889 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5888) @t2) @t220)) % 6.71/6.99 (define @t5890 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t41 @t10 @t51 @t2) @t220)) % 6.71/6.99 (define @t5891 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5881)) % 6.71/6.99 (define @t5892 () (tptp.tc_fun @t4015 @t5891)) % 6.71/6.99 (define @t5893 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5892)) % 6.71/6.99 (define @t5894 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t4015 @t5891) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5892) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5893) @t2) @t5865)) @t5864)) @t5863)) % 6.71/6.99 (define @t5895 () (@list @t5863 @t5864 @t5865 @t2 @t3274 @t10 @t41)) % 6.71/6.99 (define @t5896 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5888)) % 6.71/6.99 (define @t5897 () (tptp.tc_fun @t4015 @t5896)) % 6.71/6.99 (define @t5898 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5897)) % 6.71/6.99 (define @t5899 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t4015 @t5896) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5897) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 tptp.tc_Code__Numeral_Ocode__numeral @t5898) @t2) @t5865)) @t5864)) @t5863)) % 6.71/6.99 (define @t5900 () (tptp.hAPP @t51 @t220)) % 6.71/6.99 (define @t5901 () (@list @t220 @t2 @t51 @t10 @t41)) % 6.71/6.99 (define @t5902 () (@var "V_i_1" $$unsorted)) % 6.71/6.99 (define @t5903 () (tptp.c_New__Random__Sequence_Oneg__single @t10)) % 6.71/6.99 (define @t5904 () (@list @t60 @t2 @t10 @t41)) % 6.71/6.99 (define @t5905 () (@list @t5863 @t5864 @t5865 @t51 @t10)) % 6.71/6.99 (define @t5906 () (@list @t5902 @t30 @t31)) % 6.71/6.99 (define @t5907 () (tptp.c_New__Random__Sequence_Opos__single @t10)) % 6.71/6.99 (define @t5908 () (tptp.c_List_Osplice @t31 @t4935 @t4934)) % 6.71/6.99 (define @t5909 () (@var "V_va" $$unsorted)) % 6.71/6.99 (define @t5910 () (tptp.hAPP (tptp.hAPP @t4975 @t1411) @t5909)) % 6.71/6.99 (define @t5911 () (tptp.c_Predicate_Oconversep @t41 @t10 @t3975)) % 6.71/6.99 (define @t5912 () (tptp.c_Predicate_Oconversep @t41 @t10 @t2727)) % 6.71/6.99 (define @t5913 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2727 @t248) @t173))) % 6.71/6.99 (define @t5914 () (tptp.c_Predicate_Oconversep @t10 @t41 @t2727)) % 6.71/6.99 (define @t5915 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5914 @t173) @t248))) % 6.71/6.99 (define @t5916 () (@list @t248 @t173 @t2727 @t41 @t10)) % 6.71/6.99 (define @t5917 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2097)) % 6.71/6.99 (define @t5918 () (tptp.tc_fun @t41 @t5917)) % 6.71/6.99 (define @t5919 () (@var "V_s2_2" $$unsorted)) % 6.71/6.99 (define @t5920 () (@var "V_s1_2" $$unsorted)) % 6.71/6.99 (define @t5921 () (tptp.c_List_Oreplicate @t31 @t176 @t30)) % 6.71/6.99 (define @t5922 () (@list @t30 @t31 @t176)) % 6.71/6.99 (define @t5923 () (tptp.hAPP (tptp.c_List_Ofilter @t10 @t4334) @t4928)) % 6.71/6.99 (define @t5924 () (@list @t30 @t176 @t31)) % 6.71/6.99 (define @t5925 () (@var "V_lst_2" $$unsorted)) % 6.71/6.99 (define @t5926 () (tptp.hAPP @t5354 @t5921)) % 6.71/6.99 (define @t5927 () (tptp.hAPP @t3064 @t209)) % 6.71/6.99 (define @t5928 () (tptp.c_List_Oreplicate @t31 @t208 @t30)) % 6.71/6.99 (define @t5929 () (@list @t30 @t208 @t209 @t31)) % 6.71/6.99 (define @t5930 () (tptp.c_List_Oreplicate @t31 @t209 @t30)) % 6.71/6.99 (define @t5931 () (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t5094 (tptp.c_List_Oreplicate @t10 @t115 @t173))))) % 6.71/6.99 (define @t5932 () (@list @t60 @t173 @t115 @t10)) % 6.71/6.99 (define @t5933 () (tptp.c_List_Oreplicate @t10 @t115 @t97)) % 6.71/6.99 (define @t5934 () (tptp.c_List_Oreplicate @t10 @t115 @t51)) % 6.71/6.99 (define @t5935 () (tptp.hAPP @t5708 @t5934)) % 6.71/6.99 (define @t5936 () (@list @t51 @t115 @t10)) % 6.71/6.99 (define @t5937 () (tptp.hAPP @t5094 @t5934)) % 6.71/6.99 (define @t5938 () (=> @t972 (= @t5937 @t745))) % 6.71/6.99 (define @t5939 () (@list @t51 @t10 @t115)) % 6.71/6.99 (define @t5940 () (tptp.c_Lazy__Sequence_Osingle @t4706)) % 6.71/6.99 (define @t5941 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t4706)) % 6.71/6.99 (define @t5942 () (tptp.hAPP (tptp.hAPP @t1514 @t289) @t1538)) % 6.71/6.99 (define @t5943 () (tptp.class_Lazy__Sequence_Osmall__lazy @t10)) % 6.71/6.99 (define @t5944 () (@var "V_yq_2" $$unsorted)) % 6.71/6.99 (define @t5945 () (tptp.hAPP @t5611 @t220)) % 6.71/6.99 (define @t5946 () (@var "V_lazy__sequence" $$unsorted)) % 6.71/6.99 (define @t5947 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t31)) % 6.71/6.99 (define @t5948 () (tptp.c_Nat_Osize__class_Osize @t5947)) % 6.71/6.99 (define @t5949 () (@var "V_yq" $$unsorted)) % 6.71/6.99 (define @t5950 () (@var "V_xq" $$unsorted)) % 6.71/6.99 (define @t5951 () (@var "V_lazy__sequence_H_2" $$unsorted)) % 6.71/6.99 (define @t5952 () (@var "V_lazy__sequence_2" $$unsorted)) % 6.71/6.99 (define @t5953 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t173 @t5952)) % 6.71/6.99 (define @t5954 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t3186)) % 6.71/6.99 (define @t5955 () (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint)) % 6.71/6.99 (define @t5956 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t528 @t209)) % 6.71/6.99 (define @t5957 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t528) @t209))) % 6.71/6.99 (define @t5958 () (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint)) % 6.71/6.99 (define @t5959 () (tptp.c_Lazy__Sequence_Osmall__lazy_H @t289 @t220)) % 6.71/6.99 (define @t5960 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t289) @t220))) % 6.71/6.99 (define @t5961 () (tptp.c_Wellfounded_Oaccp @t3643 tptp.c_Lazy__Sequence_Osmall__lazy_H__rel)) % 6.71/6.99 (define @t5962 () (tptp.c_Lazy__Sequence_Oyield @t10)) % 6.71/6.99 (define @t5963 () (tptp.hAPP @t5962 @t5611)) % 6.71/6.99 (define @t5964 () (tptp.c_Nat_Osize__class_Osize @t5881)) % 6.71/6.99 (define @t5965 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 @t5881) @t1248)) % 6.71/6.99 (define @t5966 () (tptp.c_COMBC @t5881 tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5967 () (tptp.tc_fun @t5881 tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5968 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t5881 tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t5969 () (tptp.tc_prod @t10 @t5881)) % 6.71/6.99 (define @t5970 () (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size @t10 @t3975)) % 6.71/6.99 (define @t5971 () (tptp.tc_fun @t5881 @t3629)) % 6.71/6.99 (define @t5972 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t41)) % 6.71/6.99 (define @t5973 () (tptp.hAPP @t5321 @t5952)) % 6.71/6.99 (define @t5974 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t41 @t173 @t5952)) % 6.71/6.99 (define @t5975 () (@list @t5952 @t173 @t285 @t287 @t41 @t10)) % 6.71/6.99 (define @t5976 () (forall @t7 (=> @t729 (tptp.c_Relation_Orefl__on @t41 @t3232 @t3931)))) % 6.71/6.99 (define @t5977 () (@list @t2727 @t21 @t41 @t728 @t10)) % 6.71/6.99 (define @t5978 () (tptp.c_List_Omember @t10)) % 6.71/6.99 (define @t5979 () (tptp.hAPP @t5978 @t4928)) % 6.71/6.99 (define @t5980 () (tptp.hBOOL (tptp.hAPP @t5979 @t51))) % 6.71/6.99 (define @t5981 () (@var "B_T2" $$unsorted)) % 6.71/6.99 (define @t5982 () (@var "B_T1" $$unsorted)) % 6.71/6.99 (define @t5983 () (tptp.c_FunDef_OTHE__default @t10 @t289 @t60)) % 6.71/6.99 (define @t5984 () (exists @t7 (and @t168 (forall @t1180 (=> @t4563 @t1179))))) % 6.71/6.99 (define @t5985 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t31)) % 6.71/6.99 (define @t5986 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t10)) % 6.71/6.99 (define @t5987 () (@var "V_lazy__sequence_H" $$unsorted)) % 6.71/6.99 (define @t5988 () (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t31 @t1900 @t5987)) % 6.71/6.99 (define @t5989 () (@list @t5987 @t1900 @t31)) % 6.71/6.99 (define @t5990 () (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t41)) % 6.71/6.99 (define @t5991 () (tptp.c_List_Oall__interval__int @t60 @t220 @t902)) % 6.71/6.99 (define @t5992 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 6.71/6.99 (define @t5993 () (tptp.c_DSequence_Osingle @t10)) % 6.71/6.99 (define @t5994 () (tptp.tc_prod @t10 @t5992)) % 6.71/6.99 (define @t5995 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t5881)))) % 6.71/6.99 (define @t5996 () (tptp.tc_fun @t5995 @t5995)) % 6.71/6.99 (define @t5997 () (tptp.c_Product__Type_OPair @t5995 @t4015)) % 6.71/6.99 (define @t5998 () (tptp.tc_prod @t5995 @t4015)) % 6.71/6.99 (define @t5999 () (tptp.tc_fun @t4015 @t5998)) % 6.71/6.99 (define @t6000 () (tptp.tc_fun @t5995 @t5999)) % 6.71/6.99 (define @t6001 () (tptp.c_Random__Sequence_ORandom @t10 @t1 @t5865 @t5864)) % 6.71/6.99 (define @t6002 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3002 @t5865) @t2721))) % 6.71/6.99 (define @t6003 () (tptp.hAPP @t5997 (tptp.c_DSequence_Oempty @t10))) % 6.71/6.99 (define @t6004 () (tptp.c_Random__Sequence_Osingle @t10)) % 6.71/6.99 (define @t6005 () (tptp.hAPP @t4474 (tptp.hAPP @t4490 @t4472))) % 6.71/6.99 (define @t6006 () (tptp.c_Relation_Otrans @t10 @t2727)) % 6.71/6.99 (define @t6007 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4730 @t2910)) @t2727))) % 6.71/6.99 (define @t6008 () (tptp.hAPP @t4520 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 tptp.tc_HOL_Obool @t23) @t4580) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 @t393 @t23) @t6005) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t3418 @t393) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t113 @t4498 @t23) @t4497) tptp.c_fequal)) @t20))))) % 6.71/6.99 (define @t6009 () (tptp.tc_fun @t148 tptp.tc_HOL_Obool)) % 6.71/6.99 (define @t6010 () (tptp.tc_fun @t148 @t10)) % 6.71/6.99 (define @t6011 () (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6009 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t148)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6009 @t6009 @t10) (tptp.hAPP (tptp.c_COMBS @t148 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t148) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t148 @t6009 tptp.tc_HOL_Obool) (tptp.c_member @t148)) @t21)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t6010 @t6009) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 (tptp.tc_fun @t6010 @t6009) @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t148)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t148 @t41 @t10) (tptp.c_COMBI @t148)) @t51)))))) % 6.71/6.99 (define @t6012 () (tptp.c_Predicate_Otransp @t10 @t2727)) % 6.71/6.99 (define @t6013 () (tptp.hAPP @t2727 @t97)) % 6.71/6.99 (define @t6014 () (tptp.c_Predicate_Otransp @t10 @t3274)) % 6.71/6.99 (define @t6015 () (tptp.c_Predicate_Osymp @t10 @t3274)) % 6.71/6.99 (define @t6016 () (=> @t6015 (not @t6014))) % 6.71/6.99 (define @t6017 () (tptp.c_Predicate_Oreflp @t10 @t3274)) % 6.71/6.99 (define @t6018 () (tptp.c_Predicate_Osymp @t10 @t2727)) % 6.71/6.99 (define @t6019 () (tptp.c_Relation_Oantisym @t10 @t2727)) % 6.71/6.99 (define @t6020 () (tptp.hBOOL (tptp.hAPP @t4838 @t2727))) % 6.71/6.99 (define @t6021 () (@list @t248 @t173 @t2727 @t10)) % 6.71/6.99 (define @t6022 () (tptp.tc_fun @t3504 tptp.tc_HOL_Obool)) % 6.71/6.99 (define @t6023 () (tptp.tc_fun @t3504 @t41)) % 6.71/6.99 (define @t6024 () (@var "V_L_2" $$unsorted)) % 6.71/6.99 (define @t6025 () (tptp.c_Relation_Osym @t10 @t2727)) % 6.71/6.99 (define @t6026 () (tptp.c_Relation_Osym @t10 @t3975)) % 6.71/6.99 (define @t6027 () (tptp.c_Equiv__Relations_Opart__equivp @t10 @t3274)) % 6.71/6.99 (define @t6028 () (tptp.hBOOL (tptp.hAPP @t4245 @t3))) % 6.71/6.99 (define @t6029 () (exists @t7 @t6028)) % 6.71/6.99 (define @t6030 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t41 @t165 @t2)) % 6.71/6.99 (define @t6031 () (= (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t10 @t10 @t6030) @t2) @t4583)) % 6.71/6.99 (define @t6032 () (tptp.hAPP @t6030 @t97)) % 6.71/6.99 (define @t6033 () (tptp.c_Hilbert__Choice_Oinv__into @t10 @t41 @t21 @t2)) % 6.71/6.99 (define @t6034 () (tptp.hAPP @t6033 @t51)) % 6.71/6.99 (define @t6035 () (tptp.hAPP @t6033 @t97)) % 6.71/6.99 (define @t6036 () (tptp.c_Hilbert__Choice_Oinv__into @t41 @t10 @t21 @t2)) % 6.71/6.99 (define @t6037 () (tptp.c_Hilbert__Choice_Oinv__into @t41 @t10 @t858 @t2)) % 6.71/6.99 (define @t6038 () (tptp.c_Set_Oimage @t41 @t10 @t6030)) % 6.71/6.99 (define @t6039 () (tptp.hAPP @t3205 @t4519)) % 6.71/6.99 (define @t6040 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3)) % 6.71/6.99 (define @t6041 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t282)) % 6.71/6.99 (define @t6042 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1003 @t282) @t964))) % 6.71/6.99 (define @t6043 () (tptp.c_Quickcheck_Obeyond @t208 @t943)) % 6.71/6.99 (define @t6044 () (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t165 @t858)) % 6.71/6.99 (define @t6045 () (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t21 @t20)) % 6.71/6.99 (define @t6046 () (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t21 @t1202)) % 6.71/6.99 (define @t6047 () (@var "V_A_H_H_2" $$unsorted)) % 6.71/6.99 (define @t6048 () (= @t1181 @t858)) % 6.71/6.99 (define @t6049 () (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t20 @t4615)) % 6.71/6.99 (define @t6050 () (tptp.hAPP @t1960 @t2083)) % 6.71/6.99 (define @t6051 () (@var "B_h" $$unsorted)) % 6.71/6.99 (define @t6052 () (@list @t6051)) % 6.71/6.99 (define @t6053 () (tptp.hBOOL (tptp.hAPP @t2063 @t2083))) % 6.71/6.99 (define @t6054 () (tptp.hAPP @t999 @t6050)) % 6.71/6.99 (define @t6055 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t10 @t41 tptp.tc_HOL_Obool @t2) @t173) @t248))) % 6.71/6.99 (define @t6056 () (tptp.hBOOL (tptp.hAPP @t2 @t3785))) % 6.71/6.99 (define @t6057 () (tptp.c_Quotient_ORespects @t10 @t3274)) % 6.71/6.99 (define @t6058 () (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t170 @t6057)) @t168))) % 6.71/6.99 (define @t6059 () (tptp.hAPP @t395 @t108)) % 6.71/6.99 (define @t6060 () (@var "V_by_2" $$unsorted)) % 6.71/6.99 (define @t6061 () (@var "V_bx_2" $$unsorted)) % 6.71/6.99 (define @t6062 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t6061) @t6060))) % 6.71/6.99 (define @t6063 () (@var "B_ba" $$unsorted)) % 6.71/6.99 (define @t6064 () (@var "B_aa" $$unsorted)) % 6.71/6.99 (define @t6065 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t6064) @t6063))) % 6.71/6.99 (define @t6066 () (tptp.hAPP (tptp.hAPP @t3303 @t6064) @t6063)) % 6.71/6.99 (define @t6067 () (tptp.hAPP @t4043 @t3807)) % 6.71/6.99 (define @t6068 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6067 @t6066)) @t2727))) % 6.71/6.99 (define @t6069 () (tptp.c_Transitive__Closure_Ortrancl @t2097 @t2727)) % 6.71/6.99 (define @t6070 () (@var "V_ay_2" $$unsorted)) % 6.71/6.99 (define @t6071 () (@var "V_ax_2" $$unsorted)) % 6.71/6.99 (define @t6072 () (tptp.hAPP @t4043 (tptp.hAPP (tptp.hAPP @t3303 @t6071) @t6070))) % 6.71/6.99 (define @t6073 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t6071) @t6070))) % 6.71/6.99 (define @t6074 () (tptp.hAPP (tptp.hAPP @t3303 @t6061) @t6060)) % 6.71/6.99 (define @t6075 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6072 @t6074)) @t6069))) % 6.71/6.99 (define @t6076 () (@list @t60 @t2727 @t6060 @t6061 @t6070 @t6071 @t41 @t10)) % 6.71/6.99 (define @t6077 () (@var "V_zb_2" $$unsorted)) % 6.71/6.99 (define @t6078 () (@var "V_za_2" $$unsorted)) % 6.71/6.99 (define @t6079 () (tptp.hAPP (tptp.hAPP @t3303 @t6078) @t6077)) % 6.71/6.99 (define @t6080 () (@var "V_xb_2" $$unsorted)) % 6.71/6.99 (define @t6081 () (tptp.hAPP (tptp.hAPP @t3303 @t4111) @t6080)) % 6.71/6.99 (define @t6082 () (tptp.hAPP @t4043 @t6081)) % 6.71/6.99 (define @t6083 () (@var "B_z2" $$unsorted)) % 6.71/6.99 (define @t6084 () (@var "B_z1" $$unsorted)) % 6.71/6.99 (define @t6085 () (@var "B_y2" $$unsorted)) % 6.71/6.99 (define @t6086 () (@var "B_y1" $$unsorted)) % 6.71/6.99 (define @t6087 () (@var "V_xqq" $$unsorted)) % 6.71/6.99 (define @t6088 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 6.71/6.99 (define @t6089 () (tptp.c_Rings_Odvd__class_Odvd @t31)) % 6.71/6.99 (define @t6090 () (tptp.hAPP @t6089 @t81)) % 6.71/6.99 (define @t6091 () (tptp.hAPP @t6088 @t181)) % 6.71/6.99 (define @t6092 () (tptp.hBOOL (tptp.hAPP @t6091 @t115))) % 6.71/6.99 (define @t6093 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t1084) @t1083))) % 6.71/6.99 (define @t6094 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 6.71/6.99 (define @t6095 () (tptp.hAPP @t6094 @t289)) % 6.71/6.99 (define @t6096 () (tptp.hAPP @t1313 @t3)) % 6.71/6.99 (define @t6097 () (tptp.class_Rings_Odvd @t10)) % 6.71/6.99 (define @t6098 () (tptp.c_Divides_Odiv__class_Odiv @t10)) % 6.71/6.99 (define @t6099 () (tptp.hAPP (tptp.hAPP @t6098 @t248) @t173)) % 6.71/6.99 (define @t6100 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t173) @t248))) % 6.71/6.99 (define @t6101 () (tptp.class_Divides_Osemiring__div @t10)) % 6.71/6.99 (define @t6102 () (tptp.hAPP @t2334 @t85)) % 6.71/6.99 (define @t6103 () (tptp.hAPP @t6102 @t81)) % 6.71/6.99 (define @t6104 () (tptp.hBOOL (tptp.hAPP @t6090 @t85))) % 6.71/6.99 (define @t6105 () (tptp.hAPP @t6089 @t82)) % 6.71/6.99 (define @t6106 () (tptp.hAPP @t1041 @t6103)) % 6.71/6.99 (define @t6107 () (tptp.hAPP @t2334 @t30)) % 6.71/6.99 (define @t6108 () (tptp.hAPP @t6107 @t64)) % 6.71/6.99 (define @t6109 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6089 @t64) @t30))) % 6.71/6.99 (define @t6110 () (or @t2747 @t6100)) % 6.71/6.99 (define @t6111 () (tptp.hBOOL (tptp.hAPP @t6090 @t1068))) % 6.71/6.99 (define @t6112 () (tptp.hBOOL (tptp.hAPP @t6090 @t82))) % 6.71/6.99 (define @t6113 () (tptp.hAPP @t6089 @t85)) % 6.71/6.99 (define @t6114 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6089 @t1043) @t82))) % 6.71/6.99 (define @t6115 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6088 @t173 @t248)) % 6.71/6.99 (define @t6116 () (tptp.hAPP (tptp.hAPP @t667 @t173) @t758)) % 6.71/6.99 (define @t6117 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t757 @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5090 @t3980 tptp.tc_Nat_Onat) @t4381) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 @t5090 tptp.tc_Nat_Onat) @t4380) @t6088))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 @t757 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP @t4376 @t6088)))) % 6.71/6.99 (define @t6118 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t6088 @t6117 @t151 @t227)) % 6.71/6.99 (define @t6119 () (= @t6118 @t758)) % 6.71/6.99 (define @t6120 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t227) @t151))) % 6.71/6.99 (define @t6121 () (@list @t151 @t227)) % 6.71/6.99 (define @t6122 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t6088 @t6117 @t173 @t248)) % 6.71/6.99 (define @t6123 () (= @t6122 @t758)) % 6.71/6.99 (define @t6124 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t248) @t173))) % 6.71/6.99 (define @t6125 () (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t151) @t227)) (not @t6120)))) % 6.71/6.99 (define @t6126 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t173) @t248))) % 6.71/6.99 (define @t6127 () (not (and @t6126 (not @t6124)))) % 6.71/6.99 (define @t6128 () (= @t6115 @t758)) % 6.71/6.99 (define @t6129 () (not @t6126)) % 6.71/6.99 (define @t6130 () (tptp.hAPP @t6089 @t30)) % 6.71/6.99 (define @t6131 () (tptp.hAPP @t6088 @t208)) % 6.71/6.99 (define @t6132 () (tptp.hAPP @t6094 @t51)) % 6.71/6.99 (define @t6133 () (tptp.hBOOL (tptp.hAPP @t6132 @t97))) % 6.71/6.99 (define @t6134 () (tptp.class_Rings_Ocomm__ring__1 @t10)) % 6.71/6.99 (define @t6135 () (tptp.hAPP @t447 @t6108)) % 6.71/6.99 (define @t6136 () (@var "T_1" $$unsorted)) % 6.71/6.99 (define @t6137 () (@var "T_2" $$unsorted)) % 6.71/6.99 (define @t6138 () (tptp.tc_fun @t6137 @t6136)) % 6.71/6.99 (define @t6139 () (tptp.class_Lattices_Obounded__lattice @t6136)) % 6.71/6.99 (define @t6140 () (@list @t6137 @t6136)) % 6.71/6.99 (define @t6141 () (tptp.class_Lattices_Olattice @t6136)) % 6.71/6.99 (define @t6142 () (tptp.class_Finite__Set_Ofinite @t6136)) % 6.71/6.99 (define @t6143 () (and (tptp.class_Finite__Set_Ofinite @t6137) @t6142)) % 6.71/6.99 (define @t6144 () (@list @t6136 @t6137)) % 6.71/6.99 (define @t6145 () (tptp.class_Enum_Oenum @t6136)) % 6.71/6.99 (define @t6146 () (and (tptp.class_Enum_Oenum @t6137) @t6145)) % 6.71/6.99 (define @t6147 () (tptp.tc_List_Olist @t6136)) % 6.71/6.99 (define @t6148 () (tptp.class_Lazy__Sequence_Osmall__lazy @t6136)) % 6.71/6.99 (define @t6149 () (@list @t6136)) % 6.71/6.99 (define @t6150 () (tptp.tc_sum @t6137 @t6136)) % 6.71/6.99 (define @t6151 () (tptp.tc_Option_Ooption @t6136)) % 6.71/6.99 (define @t6152 () (tptp.tc_prod @t6137 @t6136)) % 6.71/6.99 (define @t6153 () (@var "V_P" $$unsorted)) % 6.71/6.99 (define @t6154 () (@var "V_Q" $$unsorted)) % 6.71/6.99 (define @t6155 () (tptp.hAPP @t57 @t3274)) % 6.71/6.99 (define @t6156 () (tptp.hAPP @t60 @t3274)) % 6.71/6.99 (define @t6157 () (@list @t3274 @t57 @t60 @t10 @t2989 @t41)) % 6.71/6.99 (define @t6158 () (tptp.hBOOL (tptp.hAPP @t4334 @t97))) % 6.71/6.99 (define @t6159 () (tptp.hBOOL @t60)) % 6.71/6.99 (define @t6160 () (not @t6159)) % 6.71/6.99 (define @t6161 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t60))) % 6.71/6.99 (define @t6162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t60) @t57))) % 6.71/6.99 (define @t6163 () (tptp.hBOOL @t57)) % 6.71/6.99 (define @t6164 () (not @t6163)) % 6.71/6.99 (define @t6165 () (@list @t57 @t60)) % 6.71/6.99 (define @t6166 () (not @t6162)) % 6.71/6.99 (define @t6167 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t60) @t57))) % 6.71/6.99 (define @t6168 () (@list @t60 @t57)) % 6.71/6.99 (define @t6169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t60) @t57))) % 6.71/6.99 (define @t6170 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t36 @t3)) % 6.71/6.99 (define @t6171 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 6.71/6.99 (define @t6172 () (tptp.c_member @t6171)) % 6.71/6.99 (define @t6173 () (tptp.hAPP @t6172 @t3)) % 6.71/6.99 (define @t6174 () (tptp.hBOOL (tptp.hAPP @t6173 tptp.v_ts_H))) % 6.71/6.99 (define @t6175 () (forall @t7 (=> @t6174 @t6170))) % 6.71/6.99 (define @t6176 () (tptp.hBOOL (tptp.hAPP @t6173 tptp.v_G))) % 6.71/6.99 (define @t6177 () (forall @t7 (=> @t6176 @t6170))) % 6.71/6.99 (define @t6178 () (=> @t6177 @t6175)) % 6.71/6.99 (define @t6179 () (forall @t40 @t6178)) % 6.71/6.99 (define @t6180 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t6171 tptp.tc_HOL_Obool)) tptp.v_ts) tptp.v_ts_H))) % 6.71/6.99 (define @t6181 () (tptp.hBOOL (tptp.hAPP @t6173 tptp.v_ts))) % 6.71/6.99 (define @t6182 () (forall @t7 (=> @t6181 @t6170))) % 6.71/6.99 (define @t6183 () (=> @t6177 @t6182)) % 6.71/6.99 (define @t6184 () (forall @t40 @t6183)) % 6.71/6.99 (define @t6185 () (not @t6184)) % 6.71/6.99 (define @t6186 () (@var "BOUND_VARIABLE_75349" $$unsorted)) % 6.71/6.99 (define @t6187 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t36 @t6186)) % 6.71/6.99 (define @t6188 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6172 @t6186) tptp.v_ts)))) % 6.71/6.99 (define @t6189 () (not @t6176)) % 6.71/6.99 (define @t6190 () (forall @t7 (or @t6189 @t6170))) % 6.71/6.99 (define @t6191 () (not @t6190)) % 6.71/6.99 (define @t6192 () (or @t6191 @t6188 @t6187)) % 6.71/6.99 (define @t6193 () (or @t6188 @t6187)) % 6.71/6.99 (define @t6194 () (or @t6191 @t6193)) % 6.71/6.99 (define @t6195 () (@list @t36 @t6186)) % 6.71/6.99 (define @t6196 () (forall @t6195 @t6194)) % 6.71/6.99 (define @t6197 () (@list @t6186)) % 6.71/6.99 (define @t6198 () (forall @t6197 @t6194)) % 6.71/6.99 (define @t6199 () (forall @t6197 @t6193)) % 6.71/6.99 (define @t6200 () (@list @t3)) % 6.71/6.99 (define @t6201 () (or @t6191 @t6199)) % 6.71/6.99 (define @t6202 () (forall @t7 (or (not @t6181) @t6170))) % 6.71/6.99 (define @t6203 () (forall @t6195 @t6192)) % 6.71/6.99 (define @t6204 () (@quantifiers_skolemize @t6203 0)) % 6.71/6.99 (define @t6205 () (forall @t7 (or @t6189 (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t6204 @t3)))) % 6.71/6.99 (define @t6206 () (@quantifiers_skolemize @t6203 1)) % 6.71/6.99 (define @t6207 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t6204 @t6206)) % 6.71/6.99 (define @t6208 () (tptp.hAPP @t6172 @t6206)) % 6.71/6.99 (define @t6209 () (tptp.hBOOL (tptp.hAPP @t6208 tptp.v_ts))) % 6.71/6.99 (define @t6210 () (not @t6209)) % 6.71/6.99 (define @t6211 () (not @t6205)) % 6.71/6.99 (define @t6212 () (or @t6211 @t6210 @t6207)) % 6.71/6.99 (define @t6213 () (@list true)) % 6.71/6.99 (define @t6214 () (@list @t6212)) % 6.71/6.99 (define @t6215 () (@var "BOUND_VARIABLE_75328" $$unsorted)) % 6.71/6.99 (define @t6216 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t36 @t6215)) % 6.71/6.99 (define @t6217 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6172 @t6215) tptp.v_ts_H)))) % 6.71/6.99 (define @t6218 () (or @t6217 @t6216)) % 6.71/6.99 (define @t6219 () (or @t6191 @t6218)) % 6.71/6.99 (define @t6220 () (forall (@list @t36 @t6215) @t6219)) % 6.71/6.99 (define @t6221 () (@list @t6215)) % 6.71/6.99 (define @t6222 () (forall @t6221 @t6219)) % 6.71/6.99 (define @t6223 () (forall @t6221 @t6218)) % 6.71/6.99 (define @t6224 () (or @t6191 @t6223)) % 6.71/6.99 (define @t6225 () (forall @t7 (or (not @t6174) @t6170))) % 6.71/6.99 (define @t6226 () (not @t28)) % 6.71/6.99 (define @t6227 () (tptp.hBOOL (tptp.hAPP @t6208 tptp.v_ts_H))) % 6.71/6.99 (define @t6228 () (not @t6180)) % 6.71/6.99 (define @t6229 () (or @t6228 @t6210 @t6227)) % 6.71/6.99 (define @t6230 () (not @t6227)) % 6.71/6.99 (define @t6231 () (or @t6211 @t6230 @t6207)) % 6.71/6.99 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 6.71/6.99 (assume @p2 (forall (@list @t9 @t8 @t10) (=> (tptp.hBOOL (tptp.hAPP @t15 @t9)) @t11))) % 6.71/6.99 (assume @p3 (forall (@list @t8 @t16 @t9 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t16) (=> (tptp.hBOOL (tptp.hAPP @t15 @t16)) @t11)))) % 6.71/6.99 (assume @p4 (forall @t19 (=> @t18 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 @t17) @t9)) @t11)))) % 6.71/6.99 (assume @p5 (forall @t19 (=> @t18 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t17) @t11)))) % 6.71/6.99 (assume @p6 (forall @t29 (=> @t28 (=> @t26 @t22)))) % 6.71/6.99 (assume @p7 (forall @t35 (=> @t34 (tptp.hBOOL (tptp.hAPP @t33 @t30))))) % 6.71/6.99 (assume @p8 (forall (@list @t8 @t9 @t10) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t10 @t9 @t8) (forall @t40 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t38 @t9)) @t37)) (forall @t7 (=> @t39 @t37))))))) % 6.71/6.99 (assume @p9 (forall @t50 (=> @t49 (= @t48 @t45)))) % 6.71/6.99 (assume @p10 (forall (@list @t51 @t1 @t2 @t10 @t41) (=> @t49 (=> @t48 (tptp.hBOOL (tptp.hAPP @t54 @t52)))))) % 6.71/6.99 (assume @p11 (forall @t55 (tptp.hBOOL (tptp.hAPP @t27 @t21)))) % 6.71/6.99 (assume @p12 (forall @t56 (= @t22 (and @t28 @t26)))) % 6.71/6.99 (assume @p13 (forall (@list @t57 @t10 @t51 @t60) (=> @t63 (=> @t61 @t59)))) % 6.71/6.99 (assume @p14 (forall @t56 (=> @t22 @t28))) % 6.71/6.99 (assume @p15 (forall @t56 (=> @t22 @t26))) % 6.71/6.99 (assume @p16 (forall (@list @t51 @t57 @t60 @t10) (=> @t61 (=> @t63 @t59)))) % 6.71/6.99 (assume @p17 (forall @t69 (=> @t68 (=> (not @t67) @t66)))) % 6.71/6.99 (assume @p18 (forall @t75 (=> @t74 (=> @t66 (=> @t73 @t72))))) % 6.71/6.99 (assume @p19 (forall @t77 (=> @t74 (=> @t66 (=> @t67 @t76))))) % 6.71/6.99 (assume @p20 (forall @t80 (=> @t34 (=> @t67 (=> @t79 @t78))))) % 6.71/6.99 (assume @p21 (forall @t69 (=> @t74 (=> @t67 (=> @t66 @t76))))) % 6.71/6.99 (assume @p22 (forall @t89 (=> @t74 (=> @t88 (=> @t86 @t84))))) % 6.71/6.99 (assume @p23 (forall @t94 (=> @t93 (=> @t92 (=> @t86 @t91))))) % 6.71/6.99 (assume @p24 (forall @t94 (=> @t74 (=> @t95 (=> (tptp.hBOOL (tptp.hAPP @t83 @t85)) @t84))))) % 6.71/6.99 (assume @p25 (forall @t94 (=> @t93 (=> @t95 (=> @t96 @t91))))) % 6.71/6.99 (assume @p26 (forall @t106 (=> @t105 (=> @t104 @t102)))) % 6.71/6.99 (assume @p27 (forall @t69 (=> @t34 (=> @t76 @t67)))) % 6.71/6.99 (assume @p28 (forall @t107 (=> @t105 (= @t98 (and @t101 @t104))))) % 6.71/6.99 (assume @p29 (forall @t69 (=> @t68 (or @t67 @t66)))) % 6.71/6.99 (assume @p30 (forall @t56 (=> @t22 (not (=> @t28 (not @t26)))))) % 6.71/6.99 (assume @p31 (forall @t111 (=> @t28 (=> @t110 @t109)))) % 6.71/6.99 (assume @p32 (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t112) (tptp.c_Predicate_OPowp @t10 @t20)))))) % 6.71/6.99 (assume @p33 (forall (@list @t115 @t8 @t10) (=> (forall @t7 (=> @t39 (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t116 @t3))) (forall @t7 (=> @t39 (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t115 @t3)))))) % 6.71/6.99 (assume @p34 (forall (@list @t10 @t1 @t2 @t41) (=> @t49 (=> @t45 @t48)))) % 6.71/6.99 (assume @p35 (forall @t123 (=> @t122 (=> @t119 (= @t118 @t101))))) % 6.71/6.99 (assume @p36 (forall @t107 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t126) @t125)) @t104)))) % 6.71/6.99 (assume @p37 (forall @t107 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t129) @t128)) @t101)))) % 6.71/6.99 (assume @p38 (forall @t107 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t132) @t131)) @t104)))) % 6.71/6.99 (assume @p39 (forall @t107 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t135) @t134)) @t101)))) % 6.71/6.99 (assume @p40 (forall @t140 (=> @t139 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t138) (tptp.hAPP (tptp.hAPP @t136 @t20) @t2))))))) % 6.71/6.99 (assume @p41 (forall @t140 (=> @t139 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP (tptp.hAPP @t141 @t20) @t2)) @t143)))))) % 6.71/6.99 (assume @p42 (forall @t35 (=> (tptp.class_Orderings_Otop @t31) (tptp.hBOOL (tptp.hAPP @t33 @t144))))) % 6.71/6.99 (assume @p43 (forall @t35 (=> (tptp.class_Orderings_Obot @t31) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t145) @t30))))) % 6.71/6.99 (assume @p44 (forall @t55 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t146) @t21)))) % 6.71/6.99 (assume @p45 (forall @t149 (=> (tptp.class_Orderings_Obot @t10) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t148) @t51) @t147)))) % 6.71/6.99 (assume @p46 (forall @t149 (=> (tptp.class_Orderings_Otop @t10) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t148) @t51) @t150)))) % 6.71/6.99 (assume @p47 (forall @t107 (=> @t120 (= (= @t126 @t125) @t98)))) % 6.71/6.99 (assume @p48 (forall @t107 (=> @t120 (= (= @t129 @t128) @t98)))) % 6.71/6.99 (assume @p49 (forall @t107 (=> @t120 (= (= @t132 @t131) @t98)))) % 6.71/6.99 (assume @p50 (forall @t107 (=> @t120 (= (= @t135 @t134) @t98)))) % 6.71/6.99 (assume @p51 (forall @t157 (= @t156 @t153))) % 6.71/6.99 (assume @p52 (forall @t157 (= @t161 @t159))) % 6.71/6.99 (assume @p53 (forall @t123 (=> @t122 (=> @t119 @t163)))) % 6.71/6.99 (assume @p54 (forall @t164 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t10)))) % 6.71/6.99 (assume @p55 (forall @t55 (tptp.hBOOL (tptp.hAPP @t27 @t165)))) % 6.71/6.99 (assume @p56 (forall @t55 (= (tptp.hBOOL (tptp.hAPP @t27 @t146)) @t166))) % 6.71/6.99 (assume @p57 (forall (@list @t60 @t10 @t3) (=> @t171 @t168))) % 6.71/6.99 (assume @p58 (forall (@list @t9 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t9 @t172))) % 6.71/6.99 (assume @p59 (forall @t174 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t173 @t172))) % 6.71/6.99 (assume @p60 (forall (@list @t175 @t176 @t31) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t31 @t177 @t175) (tptp.c_Hoare__Mirabelle_Otriple__valid @t31 @t176 @t175)))) % 6.71/6.99 (assume @p61 (forall @t180 (not (tptp.hBOOL (tptp.hAPP @t179 @t176))))) % 6.71/6.99 (assume @p62 (forall @t187 (= @t186 @t183))) % 6.71/6.99 (assume @p63 (forall @t187 (= @t188 (or @t185 (= @t181 @t116))))) % 6.71/6.99 (assume @p64 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t182 @t191)) @t190))) % 6.71/6.99 (assume @p65 (forall @t197 (=> @t196 @t195))) % 6.71/6.99 (assume @p66 (forall @t197 (=> @t195 (=> (not @t196) (= @t193 @t177))))) % 6.71/6.99 (assume @p67 (forall @t197 (=> @t199 @t196))) % 6.71/6.99 (assume @p68 (forall @t200 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t30) (tptp.hAPP tptp.c_Nat_OSuc @t64)) @t76))) % 6.71/6.99 (assume @p69 (forall (@list @t201 @t202) (= (= @t203 (tptp.hAPP tptp.c_Nat_OSuc @t201)) (= @t202 @t201)))) % 6.71/6.99 (assume @p70 (forall @t180 (not (= @t177 @t176)))) % 6.71/6.99 (assume @p71 (forall @t180 (not (= @t176 @t177)))) % 6.71/6.99 (assume @p72 (forall @t204 (tptp.hBOOL (tptp.hAPP @t165 @t51)))) % 6.71/6.99 (assume @p73 (forall @t164 (not (= @t165 @t146)))) % 6.71/6.99 (assume @p74 (forall @t180 (tptp.hBOOL (tptp.hAPP @t205 @t176)))) % 6.71/6.99 (assume @p75 (forall @t197 (or @t196 @t206))) % 6.71/6.99 (assume @p76 (forall @t197 (=> @t207 @t196))) % 6.71/6.99 (assume @p77 (forall @t214 (=> @t213 (=> (tptp.hBOOL (tptp.hAPP @t212 @t208)) (tptp.hBOOL (tptp.hAPP @t210 @t208)))))) % 6.71/6.99 (assume @p78 (forall @t197 (=> @t196 (=> @t206 @t207)))) % 6.71/6.99 (assume @p79 (forall (@list @t215 @t115 @t2 @t10) (=> @t105 (=> @t219 (=> (tptp.hBOOL (tptp.hAPP @t189 @t215)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t216) (tptp.hAPP @t2 @t215)))))))) % 6.71/6.99 (assume @p80 (forall (@list @t220 @t115 @t221 @t10) (=> @t222 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t221 @t116 @t220) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t221 @t115 (tptp.hAPP @t221 @t220)))))) % 6.71/6.99 (assume @p81 (forall @t164 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t165) @t147)))) % 6.71/6.99 (assume @p82 (forall @t164 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t146) @t150)))) % 6.71/6.99 (assume @p83 (forall @t164 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t165) @t150)))) % 6.71/6.99 (assume @p84 (forall @t164 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t146) @t147)))) % 6.71/6.99 (assume @p85 (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t226) @t225))))) % 6.71/6.99 (assume @p86 (forall @t230 (=> @t105 (=> @t229 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t151 @t227) @t146))))) % 6.71/6.99 (assume @p87 (forall @t230 (=> @t105 (=> @t229 @t232)))) % 6.71/6.99 (assume @p88 (forall @t233 (=> @t105 (= (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat @t10 @t2) @t219)))) % 6.71/6.99 (assume @p89 (forall (@list @t236 @t176) (=> (tptp.hBOOL (tptp.hAPP @t179 @t236)) (exists @t237 (= @t236 @t235))))) % 6.71/6.99 (assume @p90 (forall @t241 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t20) @t21)) (tptp.hBOOL (tptp.hAPP @t240 @t238))))) % 6.71/6.99 (assume @p91 (forall @t55 (not (= @t226 @t242)))) % 6.71/6.99 (assume @p92 (forall @t55 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t226) @t21))) % 6.71/6.99 (assume @p93 (forall @t55 (tptp.hBOOL (tptp.hAPP @t244 (tptp.hAPP @t224 @t243))))) % 6.71/6.99 (assume @p94 (forall @t164 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t242) @t146))) % 6.71/6.99 (assume @p95 (forall @t164 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t245) @t165))) % 6.71/6.99 (assume @p96 (forall @t164 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t245) @t146))) % 6.71/6.99 (assume @p97 (forall @t164 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t242) @t165))) % 6.71/6.99 (assume @p98 (forall @t164 (= (tptp.hAPP @t224 @t165) @t245))) % 6.71/6.99 (assume @p99 (forall @t123 (=> @t247 (=> @t246 (=> @t101 @t118))))) % 6.71/6.99 (assume @p100 (tptp.c_Orderings_Oorder__class_Omono tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.71/6.99 (assume @p101 (forall @t254 (=> @t223 (= (tptp.hBOOL (tptp.hAPP @t253 @t248)) @t251)))) % 6.71/6.99 (assume @p102 (forall (@list @t21 @t248 @t10) (=> @t223 (= (tptp.hBOOL (tptp.hAPP @t255 @t257)) @t256)))) % 6.71/6.99 (assume @p103 (forall @t258 (=> @t247 (=> @t119 @t246)))) % 6.71/6.99 (assume @p104 (forall @t29 (=> (tptp.hBOOL (tptp.hAPP @t244 @t20)) (tptp.hBOOL (tptp.hAPP @t260 @t259))))) % 6.71/6.99 (assume @p105 (forall @t265 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t264 @t263) @t262) @t146)))) % 6.71/6.99 (assume @p106 (forall @t265 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t264 @t267) @t266) @t146)))) % 6.71/6.99 (assume @p107 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP (tptp.hAPP @t269 @t263) @t262) @t268))))) % 6.71/6.99 (assume @p108 (forall @t274 (=> @t105 (= (tptp.hAPP @t273 @t271) @t146)))) % 6.71/6.99 (assume @p109 (forall @t265 (=> @t105 (= (tptp.hAPP @t276 @t267) @t146)))) % 6.71/6.99 (assume @p110 (forall @t265 (=> @t105 (= (tptp.hAPP @t276 @t263) @t146)))) % 6.71/6.99 (assume @p111 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t278 @t263) @t277))))) % 6.71/6.99 (assume @p112 (forall @t29 (=> @t28 @t281))) % 6.71/6.99 (assume @p113 (forall @t258 (=> @t247 (=> (forall @t284 (=> (tptp.hBOOL (tptp.hAPP @t249 @t282)) (tptp.hBOOL (tptp.hAPP @t43 @t283)))) @t246)))) % 6.71/6.99 (assume @p114 (forall @t288 (= (tptp.c_Nat_Onat_Onat__case @t10 @t287 @t285 @t203) @t286))) % 6.71/6.99 (assume @p115 (forall @t298 (=> @t120 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t297) @t296)) (or @t295 @t294))))) % 6.71/6.99 (assume @p116 (forall @t302 (=> @t120 (= (tptp.hAPP @t301 @t300) @t299)))) % 6.71/6.99 (assume @p117 (forall (@list @t291 @t10 @t20 @t21) (=> @t22 (=> @t309 (not @t307))))) % 6.71/6.99 (assume @p118 (forall (@list @t10 @t21 @t51 @t20) (=> (=> @t317 @t314) @t312))) % 6.71/6.99 (assume @p119 (forall @t318 (=> @t312 (=> (not @t314) @t316)))) % 6.71/6.99 (assume @p120 (forall @t318 (=> @t321 (not (=> @t314 @t317))))) % 6.71/6.99 (assume @p121 (forall (@list @t10 @t20 @t51 @t21) (=> @t314 (=> @t316 @t321)))) % 6.71/6.99 (assume @p122 (forall @t174 (not (tptp.hBOOL (tptp.hAPP @t322 @t146))))) % 6.71/6.99 (assume @p123 @t325) % 6.71/6.99 (assume @p124 (forall @t204 (tptp.hBOOL (tptp.hAPP @t326 @t165)))) % 6.71/6.99 (assume @p125 (forall @t328 (=> (=> @t308 @t305) @t327))) % 6.71/6.99 (assume @p126 (forall @t329 (=> @t327 @t307))) % 6.71/6.99 (assume @p127 (forall @t329 (=> @t330 (not @t309)))) % 6.71/6.99 (assume @p128 (forall @t329 (=> @t305 (=> @t304 @t330)))) % 6.71/6.99 (assume @p129 (forall @t333 (=> @t306 @t332))) % 6.71/6.99 (assume @p130 (forall (@list @t21 @t108 @t337 @t10) (=> @t340 (=> @t338 @t336)))) % 6.71/6.99 (assume @p131 (forall (@list @t337 @t108 @t21 @t10) (=> @t341 (=> @t340 @t338)))) % 6.71/6.99 (assume @p132 (forall @t29 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t343) (tptp.hAPP (tptp.hAPP @t269 @t243) @t259)))) % 6.71/6.99 (assume @p133 (forall @t318 (=> @t321 @t316))) % 6.71/6.99 (assume @p134 (forall @t318 (=> @t321 @t314))) % 6.71/6.99 (assume @p135 (forall @t329 (=> @t330 @t304))) % 6.71/6.99 (assume @p136 (forall @t329 (=> @t330 @t305))) % 6.71/6.99 (assume @p137 (forall @t333 (=> @t332 @t306))) % 6.71/6.99 (assume @p138 (forall @t348 (=> @t347 (=> @t346 @t344)))) % 6.71/6.99 (assume @p139 (forall (@list @t21 @t10 @t97 @t51) (=> @t98 (= @t351 @t350)))) % 6.71/6.99 (assume @p140 (forall (@list @t51 @t10 @t20 @t21) (=> @t22 (= @t351 @t352)))) % 6.71/6.99 (assume @p141 (forall @t328 (=> @t304 @t327))) % 6.71/6.99 (assume @p142 (forall @t329 (=> @t305 @t327))) % 6.71/6.99 (assume @p143 (forall (@list @t21 @t10 @t51 @t20) (=> @t316 @t312))) % 6.71/6.99 (assume @p144 (forall (@list @t20 @t10 @t51 @t21) (=> @t314 @t312))) % 6.71/6.99 (assume @p145 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t269 (tptp.hAPP @t362 @t361)) @t359) (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP @t357 @t356)) @t354)))) % 6.71/6.99 (assume @p146 (forall @t365 (= (forall @t7 (=> @t364 @t168)) (and (forall @t7 (=> @t250 @t168)) (forall @t7 (=> @t363 @t168)))))) % 6.71/6.99 (assume @p147 (forall @t365 (= (exists @t7 (and @t364 @t168)) (or (exists @t7 (and @t250 @t168)) (exists @t7 (and @t363 @t168)))))) % 6.71/6.99 (assume @p148 (forall @t367 (= (tptp.hAPP (tptp.hAPP @t269 @t361) @t21) (tptp.hAPP (tptp.hAPP @t264 @t366) @t354)))) % 6.71/6.99 (assume @p149 (forall @t367 (= (tptp.hAPP (tptp.hAPP @t264 @t356) @t21) (tptp.hAPP (tptp.hAPP @t269 @t368) @t359)))) % 6.71/6.99 (assume @p150 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t269 @t311) @t108) @t369))) % 6.71/6.99 (assume @p151 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t264 @t320) @t108) @t370))) % 6.71/6.99 (assume @p152 (forall @t29 (= (= @t331 @t371) @t22))) % 6.71/6.99 (assume @p153 (forall @t111 (= (tptp.hAPP @t310 @t361) (tptp.hAPP @t357 @t372)))) % 6.71/6.99 (assume @p154 (forall @t111 (= @t374 (tptp.hAPP @t362 @t373)))) % 6.71/6.99 (assume @p155 (forall @t329 (= @t327 (or @t305 @t304)))) % 6.71/6.99 (assume @p156 (forall @t329 (= @t330 (and @t305 @t304)))) % 6.71/6.99 (assume @p157 (forall @t111 (= @t369 (tptp.hAPP @t355 @t372)))) % 6.71/6.99 (assume @p158 (forall @t111 (= @t370 (tptp.hAPP @t360 @t373)))) % 6.71/6.99 (assume @p159 (forall @t29 (= (tptp.hAPP @t310 @t311) @t311))) % 6.71/6.99 (assume @p160 (forall @t29 (= (tptp.hAPP @t319 @t320) @t320))) % 6.71/6.99 (assume @p161 (forall @t107 (= (tptp.hBOOL (tptp.hAPP @t326 @t375)) @t98))) % 6.71/6.99 (assume @p162 (forall @t333 (= @t332 @t306))) % 6.71/6.99 (assume @p163 (forall @t29 (= @t311 @t366))) % 6.71/6.99 (assume @p164 (forall @t29 (= @t320 @t368))) % 6.71/6.99 (assume @p165 (forall @t376 (= @t351 @t314))) % 6.71/6.99 (assume @p166 (forall @t55 (= (tptp.hAPP @t310 @t21) @t21))) % 6.71/6.99 (assume @p167 (forall @t55 (= (tptp.hAPP @t319 @t21) @t21))) % 6.71/6.99 (assume @p168 (forall @t29 (= (tptp.hAPP @t301 @t311) (tptp.hAPP @t377 @t371)))) % 6.71/6.99 (assume @p169 (forall @t29 (= (tptp.hAPP @t301 @t320) (tptp.hAPP @t378 @t371)))) % 6.71/6.99 (assume @p170 (forall @t55 (= (tptp.hAPP @t301 @t331) @t21))) % 6.71/6.99 (assume @p171 (forall @t55 (= (tptp.hAPP @t319 @t331) @t146))) % 6.71/6.99 (assume @p172 (forall @t55 (= (tptp.hAPP @t377 @t21) @t146))) % 6.71/6.99 (assume @p173 (forall @t55 (= (tptp.hAPP @t310 @t331) @t165))) % 6.71/6.99 (assume @p174 (forall @t55 (= (tptp.hAPP @t378 @t21) @t165))) % 6.71/6.99 (assume @p175 (forall @t111 (= (= (tptp.hAPP @t362 @t108) @t374) @t380))) % 6.71/6.99 (assume @p176 (forall @t29 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t382)) (tptp.hAPP (tptp.hAPP @t264 @t243) @t259))))) % 6.71/6.99 (assume @p177 (forall @t274 (=> @t120 (=> @t389 (=> @t388 (= (tptp.hAPP @t387 @t385) @t384)))))) % 6.71/6.99 (assume @p178 (forall @t274 (=> @t105 (= (tptp.hAPP @t390 @t385) @t146)))) % 6.71/6.99 (assume @p179 (forall @t397 (=> @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 (tptp.hAPP (tptp.hAPP @t394 @t392) @t391)) (tptp.hAPP @t2 @t311)))))) % 6.71/6.99 (assume @p180 (forall @t397 (=> @t396 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 (tptp.hAPP @t2 @t320)) (tptp.hAPP (tptp.hAPP @t398 @t392) @t391)))))) % 6.71/6.99 (assume @p181 (forall @t29 (= (tptp.hAPP @t224 @t320) (tptp.hAPP (tptp.hAPP @t381 @t226) @t225)))) % 6.71/6.99 (assume @p182 (forall @t29 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t343) (tptp.hAPP (tptp.hAPP @t264 @t239) @t238)))) % 6.71/6.99 (assume @p183 (forall @t29 (= @t399 (tptp.hBOOL (tptp.hAPP @t27 @t371))))) % 6.71/6.99 (assume @p184 (forall @t29 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t269 @t239) @t238)) (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t382))))) % 6.71/6.99 (assume @p185 (forall @t402 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t401) @t261) @t400))) % 6.71/6.99 (assume @p186 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t405 @t384) @t403))))) % 6.71/6.99 (assume @p187 (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t371) @t331))))) % 6.71/6.99 (assume @p188 (forall @t29 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t331) @t371)) @t26))) % 6.71/6.99 (assume @p189 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t269 @t146) @t20) @t20))) % 6.71/6.99 (assume @p190 (forall @t55 (= (tptp.hAPP @t310 @t146) @t21))) % 6.71/6.99 (assume @p191 (forall @t29 (= (= @t311 @t146) (and @t166 @t407)))) % 6.71/6.99 (assume @p192 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t264 @t146) @t20) @t146))) % 6.71/6.99 (assume @p193 (forall @t55 (= (tptp.hAPP @t319 @t146) @t146))) % 6.71/6.99 (assume @p194 (forall @t29 (= @t399 (forall @t7 (=> @t250 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 @t20)) @t410))))))) % 6.71/6.99 (assume @p195 (forall @t415 (= (= (tptp.hAPP (tptp.hAPP @t264 @t334) @t21) @t146) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t414 @t108)) (= (tptp.hAPP @t413 @t21) @t146)))))) % 6.71/6.99 (assume @p196 (forall @t265 (=> @t105 (= (tptp.hAPP @t416 @t384) @t146)))) % 6.71/6.99 (assume @p197 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t418 @t266) @t417))))) % 6.71/6.99 (assume @p198 (forall @t274 (=> @t105 (= (tptp.hAPP @t420 @t385) @t146)))) % 6.71/6.99 (assume @p199 (forall @t424 (=> @t109 (=> @t423 (tptp.hBOOL (tptp.hAPP @t422 (tptp.hAPP @t353 @t421))))))) % 6.71/6.99 (assume @p200 (forall @t425 (=> @t109 (=> @t110 (tptp.hBOOL (tptp.hAPP @t422 @t108)))))) % 6.71/6.99 (assume @p201 (forall @t241 (=> @t26 (= @t311 @t21)))) % 6.71/6.99 (assume @p202 (forall @t29 (=> @t28 @t426))) % 6.71/6.99 (assume @p203 (forall @t29 (= @t28 @t426))) % 6.71/6.99 (assume @p204 (forall @t241 (tptp.hBOOL (tptp.hAPP @t25 @t311)))) % 6.71/6.99 (assume @p205 (forall @t29 (tptp.hBOOL (tptp.hAPP @t27 @t311)))) % 6.71/6.99 (assume @p206 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t269 @t165) @t20) @t165))) % 6.71/6.99 (assume @p207 (forall @t55 (= (tptp.hAPP @t310 @t165) @t165))) % 6.71/6.99 (assume @p208 (forall @t424 (=> @t109 (=> @t423 (tptp.hBOOL (tptp.hAPP @t427 (tptp.hAPP @t358 @t421))))))) % 6.71/6.99 (assume @p209 (forall @t428 (=> @t380 (=> (tptp.hBOOL (tptp.hAPP @t379 @t20)) (tptp.hBOOL (tptp.hAPP @t379 @t320)))))) % 6.71/6.99 (assume @p210 (forall @t241 (=> @t26 (= @t320 @t20)))) % 6.71/6.99 (assume @p211 (forall @t29 (=> @t28 (= @t320 @t21)))) % 6.71/6.99 (assume @p212 (forall @t29 (tptp.hBOOL (tptp.hAPP @t427 @t20)))) % 6.71/6.99 (assume @p213 (forall @t29 (tptp.hBOOL (tptp.hAPP @t427 @t21)))) % 6.71/6.99 (assume @p214 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t264 @t165) @t20) @t20))) % 6.71/6.99 (assume @p215 (forall @t55 (= (tptp.hAPP @t319 @t165) @t21))) % 6.71/6.99 (assume @p216 (forall @t265 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t264 @t384) @t266) @t146)))) % 6.71/6.99 (assume @p217 (forall @t55 (= (forall @t7 @t429) @t166))) % 6.71/6.99 (assume @p218 (forall @t55 (= @t431 @t430))) % 6.71/6.99 (assume @p219 (forall (@list @t291 @t10) (not (tptp.hBOOL (tptp.hAPP @t303 @t146))))) % 6.71/6.99 (assume @p220 (forall (@list @t173 @t10 @t21) (=> @t166 @t432))) % 6.71/6.99 (assume @p221 (forall @t318 (=> @t28 (=> @t351 @t352)))) % 6.71/6.99 (assume @p222 (forall @t433 (=> @t351 (=> @t28 @t352)))) % 6.71/6.99 (assume @p223 (forall @t29 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 (tptp.hAPP @t434 @t225)) (tptp.hAPP @t224 @t311))))) % 6.71/6.99 (assume @p224 (forall @t241 (=> @t435 (tptp.hBOOL (tptp.hAPP @t25 @t243))))) % 6.71/6.99 (assume @p225 (forall @t55 (tptp.hBOOL (tptp.hAPP @t280 @t226)))) % 6.71/6.99 (assume @p226 (forall @t55 (= (tptp.hBOOL (tptp.hAPP @t27 @t331)) @t166))) % 6.71/6.99 (assume @p227 (forall @t164 (= (tptp.hAPP @t301 @t146) @t165))) % 6.71/6.99 (assume @p228 (forall @t164 (= (tptp.hAPP @t301 @t165) @t146))) % 6.71/6.99 (assume @p229 (forall @t376 (=> @t223 (=> @t351 (tptp.hBOOL (tptp.hAPP @t100 @t252)))))) % 6.71/6.99 (assume @p230 (forall @t274 (=> @t120 (=> @t389 (=> @t388 (= (tptp.hAPP @t437 @t436) @t263)))))) % 6.71/6.99 (assume @p231 (forall @t376 (=> @t223 (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t257) @t51)))))) % 6.71/6.99 (assume @p232 (forall @t274 (=> @t105 (= (tptp.hAPP @t273 @t436) @t146)))) % 6.71/6.99 (assume @p233 (forall @t441 (=> @t440 (= (tptp.hBOOL (tptp.hAPP @t439 @t299)) (tptp.hBOOL (tptp.hAPP @t438 @t151)))))) % 6.71/6.99 (assume @p234 (forall @t406 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t146) @t225)))) % 6.71/6.99 (assume @p235 (forall @t441 (=> @t440 (= (tptp.hBOOL (tptp.hAPP @t439 @t442)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t151) @t220)))))) % 6.71/6.99 (assume @p236 (forall @t29 (= @t281 @t28))) % 6.71/6.99 (assume @p237 (forall @t29 (=> @t281 @t28))) % 6.71/6.99 (assume @p238 (forall @t241 (=> @t435 @t443))) % 6.71/6.99 (assume @p239 (forall @t302 (=> @t120 (= (tptp.hAPP @t301 @t442) @t444)))) % 6.71/6.99 (assume @p240 (forall @t302 (=> @t120 (= (tptp.hAPP @t301 @t444) @t442)))) % 6.71/6.99 (assume @p241 (forall @t446 (=> @t105 (=> @t295 @t445)))) % 6.71/6.99 (assume @p242 (forall @t302 (=> @t120 (= (tptp.hAPP @t301 @t299) @t300)))) % 6.71/6.99 (assume @p243 (forall @t69 (=> @t455 (=> (= @t454 @t145) (=> (= @t451 @t144) (= @t448 @t64)))))) % 6.71/6.99 (assume @p244 (forall @t462 (=> (and @t461 @t460) (=> @t246 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP @t2 (tptp.hAPP @t459 @t20))) @t457)))))) % 6.71/6.99 (assume @p245 (forall @t462 (=> (and @t467 @t466) (=> @t246 (tptp.hBOOL (tptp.hAPP @t465 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t463 @t21) @t20)))))))) % 6.71/6.99 (assume @p246 (forall @t35 (=> @t455 (= (tptp.hAPP @t450 @t448) @t144)))) % 6.71/6.99 (assume @p247 (forall @t35 (=> @t455 (= (tptp.hAPP @t468 @t30) @t144)))) % 6.71/6.99 (assume @p248 (forall @t69 (=> @t455 (= (tptp.hAPP @t447 @t454) (tptp.hAPP @t468 @t469))))) % 6.71/6.99 (assume @p249 (forall @t69 (=> @t455 (= (tptp.hAPP @t447 @t451) (tptp.hAPP @t470 @t469))))) % 6.71/6.99 (assume @p250 (forall @t471 (=> @t455 (= (tptp.hAPP @t447 @t145) @t144)))) % 6.71/6.99 (assume @p251 (forall @t471 (=> @t455 (= (tptp.hAPP @t447 @t144) @t145)))) % 6.71/6.99 (assume @p252 (forall @t35 (=> @t455 (= (tptp.hAPP @t453 @t448) @t145)))) % 6.71/6.99 (assume @p253 (forall @t35 (=> @t455 (= (tptp.hAPP @t470 @t30) @t145)))) % 6.71/6.99 (assume @p254 (forall @t80 (=> @t476 @t475))) % 6.71/6.99 (assume @p255 (forall @t80 (=> @t477 @t475))) % 6.71/6.99 (assume @p256 (forall @t94 (=> @t476 (= (tptp.hAPP (tptp.hAPP @t449 @t481) @t82) @t480)))) % 6.71/6.99 (assume @p257 (forall @t80 (=> @t476 @t483))) % 6.71/6.99 (assume @p258 (forall @t80 (=> @t477 @t483))) % 6.71/6.99 (assume @p259 (forall @t89 (=> @t476 (= (tptp.hAPP @t478 (tptp.hAPP @t479 @t82)) @t480)))) % 6.71/6.99 (assume @p260 (forall @t69 (=> @t476 @t484))) % 6.71/6.99 (assume @p261 (forall @t69 (=> @t477 @t484))) % 6.71/6.99 (assume @p262 (forall @t485 (=> @t476 (= (tptp.hAPP @t479 @t481) @t481)))) % 6.71/6.99 (assume @p263 (forall @t69 (=> @t476 @t487))) % 6.71/6.99 (assume @p264 (forall @t69 (=> @t477 @t487))) % 6.71/6.99 (assume @p265 (forall @t485 (=> @t476 (= @t481 (tptp.hAPP @t478 @t81))))) % 6.71/6.99 (assume @p266 (forall @t35 (=> @t476 @t488))) % 6.71/6.99 (assume @p267 (forall @t489 (=> @t476 (= (tptp.hAPP @t479 @t81) @t81)))) % 6.71/6.99 (assume @p268 (forall @t80 (=> @t494 @t493))) % 6.71/6.99 (assume @p269 (forall @t80 (=> @t477 @t493))) % 6.71/6.99 (assume @p270 (forall @t94 (=> @t494 (= (tptp.hAPP (tptp.hAPP @t452 @t498) @t82) @t497)))) % 6.71/6.99 (assume @p271 (forall @t80 (=> @t494 @t500))) % 6.71/6.99 (assume @p272 (forall @t80 (=> @t477 @t500))) % 6.71/6.99 (assume @p273 (forall @t89 (=> @t494 (= (tptp.hAPP @t495 (tptp.hAPP @t496 @t82)) @t497)))) % 6.71/6.99 (assume @p274 (forall @t69 (=> @t494 @t501))) % 6.71/6.99 (assume @p275 (forall @t69 (=> @t477 @t501))) % 6.71/6.99 (assume @p276 (forall @t485 (=> @t494 (= (tptp.hAPP @t496 @t498) @t498)))) % 6.71/6.99 (assume @p277 (forall @t69 (=> @t494 @t503))) % 6.71/6.99 (assume @p278 (forall @t69 (=> @t477 @t503))) % 6.71/6.99 (assume @p279 (forall @t485 (=> @t494 (= @t498 (tptp.hAPP @t495 @t81))))) % 6.71/6.99 (assume @p280 (forall @t35 (=> @t494 @t504))) % 6.71/6.99 (assume @p281 (forall @t489 (=> @t494 (= (tptp.hAPP @t496 @t81) @t81)))) % 6.71/6.99 (assume @p282 (forall @t107 (=> @t508 (= (= @t507 @t506) @t98)))) % 6.71/6.99 (assume @p283 (forall @t35 (=> @t455 (= (tptp.hAPP @t447 @t448) @t30)))) % 6.71/6.99 (assume @p284 (forall @t69 (=> @t477 @t509))) % 6.71/6.99 (assume @p285 (forall @t69 (=> @t476 @t509))) % 6.71/6.99 (assume @p286 (forall @t77 (=> @t477 @t510))) % 6.71/6.99 (assume @p287 (forall @t77 (=> @t476 @t510))) % 6.71/6.99 (assume @p288 (forall @t107 (=> @t466 (= @t101 (= @t512 @t97))))) % 6.71/6.99 (assume @p289 (forall @t517 (=> @t466 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t512) @t513)) @t516)))) % 6.71/6.99 (assume @p290 (forall @t520 (=> @t476 (=> @t519 @t518)))) % 6.71/6.99 (assume @p291 (forall @t522 (=> @t476 (=> @t521 @t518)))) % 6.71/6.99 (assume @p292 (forall @t69 (=> @t476 (=> @t67 (= @t451 @t64))))) % 6.71/6.99 (assume @p293 (forall @t77 (=> @t476 (=> @t66 (= @t451 @t30))))) % 6.71/6.99 (assume @p294 (forall @t527 (=> @t476 (=> @t526 (=> @t525 @t524))))) % 6.71/6.99 (assume @p295 (forall @t75 (=> @t476 (=> @t66 (=> @t72 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t473) @t30))))))) % 6.71/6.99 (assume @p296 (forall @t530 (=> @t476 (=> @t91 (=> @t529 (tptp.hBOOL (tptp.hAPP @t523 (tptp.hAPP (tptp.hAPP @t449 @t82) @t528)))))))) % 6.71/6.99 (assume @p297 (forall @t532 (=> @t476 (=> @t524 @t531)))) % 6.71/6.99 (assume @p298 (forall @t69 (=> @t477 @t534))) % 6.71/6.99 (assume @p299 (forall @t69 (=> @t494 @t534))) % 6.71/6.99 (assume @p300 (forall @t69 (=> @t477 @t535))) % 6.71/6.99 (assume @p301 (forall @t69 (=> @t494 @t535))) % 6.71/6.99 (assume @p302 (forall @t107 (=> @t460 (= @t101 (= @t537 @t51))))) % 6.71/6.99 (assume @p303 (forall @t517 (=> @t460 (= (tptp.hBOOL (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t458 @t97) @t513))) @t538)))) % 6.71/6.99 (assume @p304 (forall @t527 (=> @t494 (=> @t526 @t540)))) % 6.71/6.99 (assume @p305 (forall @t541 (=> @t494 (=> @t525 @t540)))) % 6.71/6.99 (assume @p306 (forall @t69 (=> @t494 (=> @t67 (= @t454 @t30))))) % 6.71/6.99 (assume @p307 (forall @t77 (=> @t494 (=> @t66 (= @t454 @t64))))) % 6.71/6.99 (assume @p308 (forall @t520 (=> @t494 (=> @t519 (=> @t521 @t542))))) % 6.71/6.99 (assume @p309 (forall @t80 (=> @t494 (=> @t67 (=> @t78 (tptp.hBOOL (tptp.hAPP @t33 @t491))))))) % 6.71/6.99 (assume @p310 (forall @t530 (=> @t494 (=> @t91 (=> @t529 (tptp.hBOOL (tptp.hAPP @t539 (tptp.hAPP (tptp.hAPP @t452 @t82) @t528)))))))) % 6.71/6.99 (assume @p311 (forall @t520 (=> @t494 (=> @t542 @t543)))) % 6.71/6.99 (assume @p312 (forall @t107 (=> @t508 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t507) @t506)) @t104)))) % 6.71/6.99 (assume @p313 (forall @t69 (=> @t455 (=> @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t469) @t448)))))) % 6.71/6.99 (assume @p314 (forall @t107 (=> (tptp.class_Lattices_Obounded__lattice__bot @t10) (= (= @t512 @t147) (and (= @t51 @t147) (= @t97 @t147)))))) % 6.71/6.99 (assume @p315 (forall @t35 (=> @t544 (= (tptp.hAPP @t450 @t145) @t30)))) % 6.71/6.99 (assume @p316 (forall @t35 (=> @t544 (= (tptp.hAPP (tptp.hAPP @t449 @t145) @t30) @t30)))) % 6.71/6.99 (assume @p317 (forall @t35 (=> @t544 (= (tptp.hAPP @t453 @t145) @t145)))) % 6.71/6.99 (assume @p318 (forall @t35 (=> @t544 (= (tptp.hAPP (tptp.hAPP @t452 @t145) @t30) @t145)))) % 6.71/6.99 (assume @p319 (forall @t546 (=> @t545 (= (tptp.hAPP (tptp.hAPP @t449 @t491) @t30) (tptp.hAPP (tptp.hAPP @t452 @t486) (tptp.hAPP (tptp.hAPP @t449 @t70) @t30)))))) % 6.71/6.99 (assume @p320 (forall @t546 (=> @t545 (= (tptp.hAPP (tptp.hAPP @t452 @t473) @t30) (tptp.hAPP (tptp.hAPP @t449 @t502) (tptp.hAPP (tptp.hAPP @t452 @t70) @t30)))))) % 6.71/6.99 (assume @p321 (forall @t80 (=> @t545 (= @t548 @t547)))) % 6.71/6.99 (assume @p322 (forall @t80 (=> @t545 (= @t550 @t549)))) % 6.71/6.99 (assume @p323 (forall @t69 (=> @t477 (= (tptp.hAPP @t450 @t454) @t30)))) % 6.71/6.99 (assume @p324 (forall @t69 (=> @t477 (= (tptp.hAPP @t453 @t451) @t30)))) % 6.71/6.99 (assume @p325 (forall @t35 (=> @t551 (= (tptp.hAPP @t450 @t144) @t144)))) % 6.71/6.99 (assume @p326 (forall @t35 (=> @t551 (= (tptp.hAPP (tptp.hAPP @t449 @t144) @t30) @t144)))) % 6.71/6.99 (assume @p327 (forall @t107 (=> (tptp.class_Lattices_Obounded__lattice__top @t10) (= (= @t537 @t150) (and (= @t51 @t150) (= @t97 @t150)))))) % 6.71/6.99 (assume @p328 (forall @t35 (=> @t551 (= (tptp.hAPP @t453 @t144) @t30)))) % 6.71/6.99 (assume @p329 (forall @t35 (=> @t551 (= (tptp.hAPP (tptp.hAPP @t452 @t144) @t30) @t30)))) % 6.71/6.99 (assume @p330 (forall @t553 (=> @t552 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t148) @t2) @t1) @t51) (tptp.hAPP (tptp.hAPP @t463 @t53) @t52))))) % 6.71/6.99 (assume @p331 (forall @t553 (=> @t552 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t148) @t2) @t1) @t51) (tptp.hAPP (tptp.hAPP @t458 @t53) @t52))))) % 6.71/6.99 (assume @p332 (forall @t554 (=> (tptp.class_Groups_Ouminus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t148) @t21) @t51) (tptp.hAPP @t505 @t313))))) % 6.71/6.99 (assume @p333 (forall @t80 (=> @t477 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t548) @t547))))) % 6.71/6.99 (assume @p334 (forall @t80 (=> @t477 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t549) @t550))))) % 6.71/6.99 (assume @p335 (forall @t557 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OatMost @t10 @t555 @t151))) (tptp.hBOOL (tptp.hAPP @t556 @t151))))) % 6.71/6.99 (assume @p336 (forall @t557 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OatLeast @t10 @t555 @t151))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t555 @t151) @t220))))) % 6.71/6.99 (assume @p337 (forall @t560 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OlessThan @t10 @t558 @t151))) (tptp.hBOOL (tptp.hAPP @t559 @t151))))) % 6.71/6.99 (assume @p338 (forall @t560 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OgreaterThan @t10 @t558 @t151))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t558 @t151) @t220))))) % 6.71/6.99 (assume @p339 (forall (@list @t261 @t227 @t555 @t220 @t10) (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OatLeastAtMost @t10 @t555 @t227 @t261))) (and @t562 @t561)))) % 6.71/6.99 (assume @p340 (forall (@list @t261 @t227 @t558 @t220 @t10) (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t10 @t558 @t227 @t261))) (and @t564 @t563)))) % 6.71/6.99 (assume @p341 (forall @t565 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OatLeastLessThan @t10 @t555 @t558 @t227 @t261))) (and @t562 @t563)))) % 6.71/6.99 (assume @p342 (forall @t565 (= (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t10 @t555 @t558 @t227 @t261))) (and @t564 @t561)))) % 6.71/6.99 (assume @p343 (forall @t570 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t568 @t567)) (tptp.hBOOL (tptp.hAPP @t255 @t566)))))) % 6.71/6.99 (assume @p344 (forall @t570 (=> @t569 (= @t573 (tptp.hBOOL (tptp.hAPP @t571 @t173)))))) % 6.71/6.99 (assume @p345 (forall @t489 (=> @t575 (= (tptp.hAPP @t447 @t574) @t81)))) % 6.71/6.99 (assume @p346 (forall @t570 (=> @t577 (= @t576 (= @t248 @t566))))) % 6.71/6.99 (assume @p347 (forall @t570 (=> @t577 (= (= @t566 @t248) (= @t567 @t173))))) % 6.71/6.99 (assume @p348 (forall @t570 (=> @t577 (= (= @t566 @t567) @t347)))) % 6.71/6.99 (assume @p349 (forall @t485 (=> @t579 (=> @t92 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t578) @t574)))))) % 6.71/6.99 (assume @p350 (forall @t446 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t571 @t566)) @t580)))) % 6.71/6.99 (assume @p351 (forall @t29 (=> (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP @t582 @t20)))) (=> (not (= @t21 @t242)) @t443)))) % 6.71/6.99 (assume @p352 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP (tptp.hAPP @t269 @t586) @t262) @t417))))) % 6.71/6.99 (assume @p353 (forall @t415 (=> (forall @t585 (=> @t588 @t587)) @t341))) % 6.71/6.99 (assume @p354 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t405 @t586) @t277))))) % 6.71/6.99 (assume @p355 (forall @t589 (=> @t336 (not (forall @t585 (=> @t587 (not @t588))))))) % 6.71/6.99 (assume @p356 (forall @t265 (=> @t120 (=> @t593 (= (tptp.hAPP @t590 @t266) @t268))))) % 6.71/6.99 (assume @p357 (forall @t265 (=> @t120 (=> @t593 (= (tptp.hAPP @t278 @t267) @t403))))) % 6.71/6.99 (assume @p358 (forall (@list @t227 @t10) (=> @t120 (= (tptp.hAPP @t595 @t268) @t417)))) % 6.71/6.99 (assume @p359 (forall @t274 (=> @t120 (=> @t389 (=> @t597 (= (tptp.hAPP @t437 @t271) @t267)))))) % 6.71/6.99 (assume @p360 (forall @t598 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP @t133 @t115)) (tptp.hAPP @t130 @t115)) (tptp.hAPP (tptp.hAPP @t594 @t115) @t146))))) % 6.71/6.99 (assume @p361 (forall @t197 (=> @t603 @t601))) % 6.71/6.99 (assume @p362 (forall @t180 (tptp.hBOOL (tptp.hAPP @t604 @t177)))) % 6.71/6.99 (assume @p363 (forall @t609 (=> @t608 (=> @t605 @t344)))) % 6.71/6.99 (assume @p364 (forall @t614 (=> (=> @t613 @t347) @t611))) % 6.71/6.99 (assume @p365 (forall @t298 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t621 @t620) @t619)) (and (or @t618 (and @t293 @t290 (or (tptp.hBOOL (tptp.hAPP @t617 @t173)) (tptp.hBOOL (tptp.hAPP @t616 @t289))))) @t615))))) % 6.71/6.99 (assume @p366 (forall @t35 (=> @t34 (not (tptp.hBOOL (tptp.hAPP @t623 @t30)))))) % 6.71/6.99 (assume @p367 (forall @t107 (=> @t120 (= @t628 (or @t627 @t625))))) % 6.71/6.99 (assume @p368 (forall @t107 (=> @t120 (= @t629 (or @t625 @t98))))) % 6.71/6.99 (assume @p369 (forall @t69 (=> @t68 (or @t632 @t76 @t631)))) % 6.71/6.99 (assume @p370 (forall @t376 (= (tptp.hAPP @t633 @t634) @t634))) % 6.71/6.99 (assume @p371 (forall @t637 (= (tptp.hAPP @t633 @t636) (tptp.hAPP @t635 @t634)))) % 6.71/6.99 (assume @p372 (forall (@list @t51 @t21 @t97 @t10) (= (tptp.hBOOL (tptp.hAPP @t636 @t51)) (or @t638 @t314)))) % 6.71/6.99 (assume @p373 (forall @t106 (=> @t120 (=> (not @t625) @t639)))) % 6.71/6.99 (assume @p374 (forall @t69 (=> @t68 @t642))) % 6.71/6.99 (assume @p375 (forall @t69 (=> @t74 (=> @t632 @t641)))) % 6.71/6.99 (assume @p376 (forall @t69 (=> @t34 (=> @t632 (not @t631))))) % 6.71/6.99 (assume @p377 (forall @t69 (=> @t74 (=> @t632 (not (= @t64 @t30)))))) % 6.71/6.99 (assume @p378 (forall @t485 (=> @t34 (=> @t646 (not @t644))))) % 6.71/6.99 (assume @p379 (forall @t647 (=> @t74 (=> @t644 (not @t646))))) % 6.71/6.99 (assume @p380 (forall @t94 (=> @t93 (=> @t95 (=> @t649 @t648))))) % 6.71/6.99 (assume @p381 (forall @t94 (=> @t74 (=> @t95 (=> (tptp.hBOOL (tptp.hAPP @t650 @t85)) @t651))))) % 6.71/6.99 (assume @p382 (forall @t94 (=> @t93 (=> @t646 (=> @t86 @t648))))) % 6.71/6.99 (assume @p383 (forall @t89 (=> @t74 (=> @t644 (=> @t86 @t651))))) % 6.71/6.99 (assume @p384 (forall @t80 (=> @t34 (=> @t632 @t653)))) % 6.71/6.99 (assume @p385 (forall @t75 (=> @t74 (=> @t631 @t656)))) % 6.71/6.99 (assume @p386 (forall @t69 (=> @t68 (=> @t640 (=> @t641 @t631))))) % 6.71/6.99 (assume @p387 (forall @t174 (=> @t105 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t173 @t173) @t658)))) % 6.71/6.99 (assume @p388 (forall @t662 (=> @t105 (= (= @t620 (tptp.hAPP @t661 @t146)) @t660)))) % 6.71/6.99 (assume @p389 (forall @t570 (=> @t105 (=> @t347 (= @t620 @t658))))) % 6.71/6.99 (assume @p390 (forall @t446 (=> @t105 (=> @t664 @t663)))) % 6.71/6.99 (assume @p391 (forall @t665 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t621 (tptp.hAPP @t127 @t181)) (tptp.hAPP @t127 @t115))) (tptp.hBOOL (tptp.hAPP @t596 @t115)))))) % 6.71/6.99 (assume @p392 (forall @t187 (=> @t188 (= @t668 (tptp.hAPP (tptp.hAPP @t667 @t116) @t666))))) % 6.71/6.99 (assume @p393 (forall @t670 (tptp.hBOOL (tptp.hAPP @t322 @t669)))) % 6.71/6.99 (assume @p394 (forall @t609 (= @t608 @t671))) % 6.71/6.99 (assume @p395 (forall @t433 (=> @t674 (=> @t673 (= (= @t634 @t672) @t22))))) % 6.71/6.99 (assume @p396 (forall @t614 (=> @t612 @t611))) % 6.71/6.99 (assume @p397 (forall @t676 (=> @t344 (= @t675 @t21)))) % 6.71/6.99 (assume @p398 (forall @t50 (=> @t49 (= @t677 (and @t48 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t47 @t1) @t2)))))))) % 6.71/6.99 (assume @p399 (forall @t107 (=> @t120 (= @t629 @t104)))) % 6.71/6.99 (assume @p400 (forall @t107 (=> @t120 (= (not @t101) @t625)))) % 6.71/6.99 (assume @p401 (forall @t69 (=> @t68 (or @t67 @t631)))) % 6.71/6.99 (assume @p402 (forall @t107 (=> @t105 (= @t627 (and @t101 @t628))))) % 6.71/6.99 (assume @p403 (forall @t107 (=> (tptp.class_Orderings_Opreorder @t10) (= @t627 (and @t101 (not @t104)))))) % 6.71/6.99 (assume @p404 (forall @t107 (=> @t105 (= @t101 (or @t627 @t98))))) % 6.71/6.99 (assume @p405 (forall @t69 (=> @t68 (=> @t640 @t66)))) % 6.71/6.99 (assume @p406 (forall @t77 (=> @t68 (=> (not @t66) @t632)))) % 6.71/6.99 (assume @p407 (forall @t107 (=> @t120 (=> @t629 @t102)))) % 6.71/6.99 (assume @p408 (forall @t485 (=> @t74 (=> @t678 (=> @t92 @t646))))) % 6.71/6.99 (assume @p409 (forall @t485 (=> @t74 (=> @t678 (=> @t88 @t644))))) % 6.71/6.99 (assume @p410 (forall @t77 (=> @t68 (=> @t66 @t640)))) % 6.71/6.99 (assume @p411 (forall @t69 (=> @t34 (=> @t632 @t67)))) % 6.71/6.99 (assume @p412 (forall @t107 (=> @t120 (=> @t101 @t639)))) % 6.71/6.99 (assume @p413 (forall @t69 (=> @t74 (=> @t67 (or @t632 @t76))))) % 6.71/6.99 (assume @p414 (forall @t485 (=> @t74 (=> @t92 (=> @t678 @t646))))) % 6.71/6.99 (assume @p415 (forall @t647 (=> @t74 (=> @t88 (=> @t678 @t644))))) % 6.71/6.99 (assume @p416 (forall @t80 (=> @t34 (=> @t632 (=> @t79 @t652))))) % 6.71/6.99 (assume @p417 (forall @t75 (=> @t74 (=> @t631 (=> @t73 @t655))))) % 6.71/6.99 (assume @p418 (forall @t80 (=> @t34 (=> @t67 @t653)))) % 6.71/6.99 (assume @p419 (forall @t75 (=> @t74 (=> @t66 @t656)))) % 6.71/6.99 (assume @p420 (forall @t324 (=> @t680 @t323))) % 6.71/6.99 (assume @p421 (forall @t570 (=> (= @t658 @t681) @t347))) % 6.71/6.99 (assume @p422 (forall @t298 (= (= @t685 (tptp.hAPP @t661 (tptp.hAPP (tptp.hAPP @t594 @t289) @t146))) (or @t684 (and (= @t173 @t289) @t659))))) % 6.71/6.99 (assume @p423 (forall @t676 (not (= @t675 @t146)))) % 6.71/6.99 (assume @p424 (forall @t676 (not (= @t146 @t675)))) % 6.71/6.99 (assume @p425 (forall @t402 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t401 @t261) @t686))) % 6.71/6.99 (assume @p426 (forall (@list @t173 @t20 @t10) (tptp.hBOOL (tptp.hAPP @t25 @t669)))) % 6.71/6.99 (assume @p427 (forall (@list @t248 @t20 @t21 @t10) (=> @t28 (tptp.hBOOL (tptp.hAPP @t27 @t610))))) % 6.71/6.99 (assume @p428 (forall (@list @t173 @t421 @t108 @t10) (=> (tptp.hBOOL (tptp.hAPP @t379 @t421)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t657 @t108)) (tptp.hAPP @t657 @t421)))))) % 6.71/6.99 (assume @p429 (forall @t55 (not (tptp.hBOOL (tptp.hAPP @t679 @t146))))) % 6.71/6.99 (assume @p430 (forall @t687 (= (tptp.hAPP @t310 @t669) (tptp.hAPP @t657 @t311)))) % 6.71/6.99 (assume @p431 (forall (@list @t108 @t20 @t173 @t10) (= (tptp.hAPP (tptp.hAPP @t269 @t669) @t108) (tptp.hAPP @t657 @t356)))) % 6.71/6.99 (assume @p432 (forall @t689 (= (tptp.hAPP (tptp.hAPP @t264 @t675) @t669) @t688))) % 6.71/6.99 (assume @p433 (forall @t522 (=> @t476 (=> @t691 @t690)))) % 6.71/6.99 (assume @p434 (forall @t520 (=> @t476 (=> @t692 @t690)))) % 6.71/6.99 (assume @p435 (forall @t541 (=> @t494 (=> @t694 @t693)))) % 6.71/6.99 (assume @p436 (forall @t527 (=> @t494 (=> @t695 @t693)))) % 6.71/6.99 (assume @p437 (forall @t446 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t698 @t566)) @t697)))) % 6.71/6.99 (assume @p438 (forall @t570 (=> @t569 (= @t700 (tptp.hBOOL (tptp.hAPP @t698 @t173)))))) % 6.71/6.99 (assume @p439 (forall @t570 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t696 @t567)) (tptp.hBOOL (tptp.hAPP @t616 @t566)))))) % 6.71/6.99 (assume @p440 (forall @t29 (= @t680 (and @t28 (not @t22))))) % 6.71/6.99 (assume @p441 (forall @t29 (= @t28 (or @t680 @t22)))) % 6.71/6.99 (assume @p442 (forall @t29 (=> @t680 @t28))) % 6.71/6.99 (assume @p443 (forall @t111 (=> @t680 (=> @t110 @t701)))) % 6.71/6.99 (assume @p444 (forall @t111 (=> @t28 @t702))) % 6.71/6.99 (assume @p445 (forall @t197 (=> @t601 @t603))) % 6.71/6.99 (assume @p446 (forall @t197 (=> @t703 @t603))) % 6.71/6.99 (assume @p447 (forall @t197 (=> @t705 (=> @t704 @t207)))) % 6.71/6.99 (assume @p448 (forall @t214 (=> @t710 (=> @t708 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t706) @t208)))))) % 6.71/6.99 (assume @p449 (forall @t197 (=> @t603 (=> (not (= @t198 @t176)) @t703)))) % 6.71/6.99 (assume @p450 (forall @t197 (=> @t603 @t705))) % 6.71/6.99 (assume @p451 (forall @t712 (=> (not @t711) (=> (tptp.hBOOL (tptp.hAPP @t604 @t198)) @t207)))) % 6.71/6.99 (assume @p452 (forall @t192 (=> @t718 @t716))) % 6.71/6.99 (assume @p453 (forall @t187 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t191) @t116)) @t720))) % 6.71/6.99 (assume @p454 (forall @t187 (= @t723 @t722))) % 6.71/6.99 (assume @p455 (forall @t187 (= (not @t720) @t715))) % 6.71/6.99 (assume @p456 (forall @t197 (=> (or @t603 @t207) @t196))) % 6.71/6.99 (assume @p457 (forall @t197 (=> @t196 (=> @t724 @t603)))) % 6.71/6.99 (assume @p458 (forall @t197 (=> @t603 @t196))) % 6.71/6.99 (assume @p459 (forall @t187 (= @t185 @t722))) % 6.71/6.99 (assume @p460 (forall @t187 (= @t720 (and @t185 @t725)))) % 6.71/6.99 (assume @p461 (forall @t298 (=> @t120 (=> @t697 (=> @t727 (= @t726 @t684)))))) % 6.71/6.99 (assume @p462 (forall @t298 (=> @t120 (=> @t726 (=> @t697 (=> @t727 @t683)))))) % 6.71/6.99 (assume @p463 (forall @t298 (=> @t120 (=> @t726 (=> @t697 (=> @t727 @t682)))))) % 6.71/6.99 (assume @p464 (forall (@list @t728 @t173 @t10) (=> @t730 (= (tptp.hBOOL (tptp.hAPP @t696 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t728))) (exists @t7 (and @t729 (tptp.hBOOL (tptp.hAPP @t696 @t3)))))))) % 6.71/6.99 (assume @p465 (forall (@list @t173 @t728 @t10) (=> @t730 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t728)) @t173)) (exists @t7 (and @t729 (tptp.hBOOL (tptp.hAPP @t731 @t173)))))))) % 6.71/6.99 (assume @p466 (forall @t123 (=> @t122 (=> @t119 (= @t733 @t627))))) % 6.71/6.99 (assume @p467 (forall @t123 (=> @t247 (=> @t119 (=> @t627 @t733))))) % 6.71/6.99 (assume @p468 (forall @t446 (=> @t735 @t734))) % 6.71/6.99 (assume @p469 (forall @t446 (= @t735 @t734))) % 6.71/6.99 (assume @p470 (forall @t433 (=> @t674 (= @t736 @t28)))) % 6.71/6.99 (assume @p471 (forall @t433 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t634) @t20)) (and @t352 @t28)))) % 6.71/6.99 (assume @p472 (forall @t265 (=> @t120 (=> @t593 (= (tptp.hAPP @t595 @t267) @t384))))) % 6.71/6.99 (assume @p473 (forall @t689 (and @t739 @t738))) % 6.71/6.99 (assume @p474 (forall @t744 (and @t743 @t742))) % 6.71/6.99 (assume @p475 (forall @t689 @t738)) % 6.71/6.99 (assume @p476 (forall @t744 @t742)) % 6.71/6.99 (assume @p477 (forall @t689 @t739)) % 6.71/6.99 (assume @p478 (forall @t744 @t743)) % 6.71/6.99 (assume @p479 (forall @t746 (=> (tptp.hBOOL (tptp.hAPP @t27 @t745)) (or @t166 (= @t21 @t745))))) % 6.71/6.99 (assume @p480 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t418 @t747) @t586))))) % 6.71/6.99 (assume @p481 (forall @t676 (= @t675 (tptp.hAPP (tptp.hAPP @t269 @t658) @t21)))) % 6.71/6.99 (assume @p482 (forall @t265 (=> @t120 (=> @t593 (= (tptp.hAPP @t590 @t747) @t263))))) % 6.71/6.99 (assume @p483 (forall @t265 (=> @t120 (=> @t270 (= (tptp.hAPP @t595 @t263) @t586))))) % 6.71/6.99 (assume @p484 (forall @t174 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t658) @t173)))) % 6.71/6.99 (assume @p485 (forall @t676 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t675) (tptp.hAPP @t748 @t252))))) % 6.71/6.99 (assume @p486 (forall @t192 (= @t717 @t183))) % 6.71/6.99 (assume @p487 (forall @t187 (= @t723 @t185))) % 6.71/6.99 (assume @p488 (forall @t187 (= @t749 @t720))) % 6.71/6.99 (assume @p489 (forall @t197 (=> @t196 @t705))) % 6.71/6.99 (assume @p490 (forall @t197 (=> @t603 @t199))) % 6.71/6.99 (assume @p491 (forall @t187 (=> @t185 @t716))) % 6.71/6.99 (assume @p492 (forall @t197 (=> @t199 @t603))) % 6.71/6.99 (assume @p493 (forall @t570 (=> @t105 (= (= @t146 @t297) @t750)))) % 6.71/6.99 (assume @p494 (forall @t570 (=> @t105 (= @t445 @t750)))) % 6.71/6.99 (assume @p495 (forall @t402 (= (tptp.hAPP @t753 @t752) @t751))) % 6.71/6.99 (assume @p496 (forall @t174 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t658) @t173)))) % 6.71/6.99 (assume @p497 (forall @t676 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t675) (tptp.hAPP @t754 @t257))))) % 6.71/6.99 (assume @p498 (forall @t274 (=> @t120 (=> @t389 (=> @t597 (= (tptp.hAPP @t756 @t271) @t384)))))) % 6.71/6.99 (assume @p499 (forall @t760 (= (tptp.hAPP @t759 @t191) (tptp.hAPP (tptp.hAPP @t667 @t181) @t758)))) % 6.71/6.99 (assume @p500 (forall @t670 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t762) (tptp.hAPP (tptp.hAPP @t269 @t173) @t259)))) % 6.71/6.99 (assume @p501 (forall @t441 (=> @t440 (= (tptp.hBOOL (tptp.hAPP @t439 @t444)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t220) @t151)))))) % 6.71/6.99 (assume @p502 (forall @t274 (=> @t120 (=> @t765 (=> @t388 (= (tptp.hAPP @t764 @t763) @t263)))))) % 6.71/6.99 (assume @p503 (forall @t768 (=> @t105 (= (= @t146 @t231) @t767)))) % 6.71/6.99 (assume @p504 (forall @t768 (=> @t105 (= @t232 @t767)))) % 6.71/6.99 (assume @p505 (forall @t670 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t762) (tptp.hAPP (tptp.hAPP @t264 @t173) @t238)))) % 6.71/6.99 (assume @p506 (forall @t157 (= @t156 (tptp.hAPP @t770 @t769)))) % 6.71/6.99 (assume @p507 (forall @t441 (=> @t440 (= (tptp.hBOOL (tptp.hAPP @t439 @t300)) (tptp.hBOOL (tptp.hAPP @t766 @t220)))))) % 6.71/6.99 (assume @p508 (forall @t775 (=> @t774 (=> @t11 @t773)))) % 6.71/6.99 (assume @p509 (forall @t775 (=> @t773 (and @t774 @t11)))) % 6.71/6.99 (assume @p510 (forall @t570 (=> @t105 (= (= @t146 @t620) @t618)))) % 6.71/6.99 (assume @p511 (forall @t570 (=> @t105 (= @t663 @t618)))) % 6.71/6.99 (assume @p512 (forall @t157 (= (tptp.hAPP @t152 @t154) (tptp.hAPP @t776 @t153)))) % 6.71/6.99 (assume @p513 (forall @t298 (=> @t105 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t620) @t619)) (or @t618 @t294))))) % 6.71/6.99 (assume @p514 (forall @t570 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t685) @t777)))) % 6.71/6.99 (assume @p515 (forall @t570 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t685) @t778)))) % 6.71/6.99 (assume @p516 (forall @t187 (and (=> @t185 (= @t779 (tptp.hAPP (tptp.hAPP @t667 @t115) @t780))) (=> @t186 (= @t779 @t758))))) % 6.71/6.99 (assume @p517 (forall @t29 (= @t311 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t781)))) % 6.71/6.99 (assume @p518 (forall @t164 (= (tptp.hAPP @t224 @t146) (tptp.hAPP (tptp.hAPP @t761 @t146) @t242)))) % 6.71/6.99 (assume @p519 (forall @t29 (= @t320 (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t781)))) % 6.71/6.99 (assume @p520 (forall @t274 (=> @t120 (=> @t389 (=> @t388 (= (tptp.hAPP @t387 @t763) @t586)))))) % 6.71/6.99 (assume @p521 (forall @t274 (=> @t105 (= (tptp.hAPP @t390 @t763) @t146)))) % 6.71/6.99 (assume @p522 (forall @t274 (=> @t120 (=> @t389 (=> @t388 (= (tptp.hAPP @t756 @t436) @t586)))))) % 6.71/6.99 (assume @p523 (forall @t265 (=> @t105 (= (tptp.hAPP @t416 @t586) @t146)))) % 6.71/6.99 (assume @p524 (forall @t274 (=> @t105 (= (tptp.hAPP @t782 @t436) @t146)))) % 6.71/6.99 (assume @p525 (forall @t274 (=> @t105 (= (tptp.hAPP @t420 @t763) @t146)))) % 6.71/6.99 (assume @p526 (forall @t274 (=> @t105 (= (tptp.hAPP @t782 @t271) @t146)))) % 6.71/6.99 (assume @p527 (forall @t265 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t264 @t586) @t262) @t146)))) % 6.71/6.99 (assume @p528 (forall @t274 (=> @t120 (=> @t765 (=> @t388 (= (tptp.hAPP @t764 @t385) @t267)))))) % 6.71/6.99 (assume @p529 (forall (@list @t261 @t10) (=> @t120 (= (tptp.hAPP (tptp.hAPP @t269 @t403) @t747) @t277)))) % 6.71/6.99 (assume @p530 (forall @t204 (= (tptp.c_Set_Othe__elem @t10 @t745) @t51))) % 6.71/6.99 (assume @p531 (forall @t589 (=> (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP @t379 @t581)))) (tptp.hBOOL (tptp.hAPP @t379 @t239))))) % 6.71/6.99 (assume @p532 (forall @t589 (=> (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP @t582 @t108)))) (tptp.hBOOL (tptp.hAPP @t260 @t108))))) % 6.71/6.99 (assume @p533 (forall @t787 (= (tptp.hBOOL (tptp.hAPP @t679 @t672)) (and (=> @t352 @t680) (=> @t673 (and (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t621 @t786) @t20))) @t783)))))) % 6.71/6.99 (assume @p534 (forall @t787 (=> @t788 (=> @t351 @t736)))) % 6.71/6.99 (assume @p535 (forall @t787 (= @t736 (and (=> @t351 @t788) @t783)))) % 6.71/6.99 (assume @p536 (forall @t790 (=> @t223 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t789 @t3)))) (tptp.hBOOL (tptp.hAPP @t789 @t257)))))) % 6.71/6.99 (assume @p537 (forall @t790 (=> @t223 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t249 @t513)))) (tptp.hBOOL (tptp.hAPP @t253 @t513)))))) % 6.71/6.99 (assume @p538 (forall @t676 (= (tptp.hAPP @t224 @t675) (tptp.hAPP @t434 (tptp.hAPP (tptp.c_Set_Oimage @t23 @t23 @t657) @t226))))) % 6.71/6.99 (assume @p539 (forall (@list @t791 @t51 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t793 @t791))) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t414 @t792)) (forall @t412 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t408) @t792)) (=> @t410 (= (tptp.hAPP @t413 @t408) @t146)))))) (= (tptp.hAPP (tptp.hAPP @t264 @t51) (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t791)) @t146))))) % 6.71/6.99 (assume @p540 (forall (@list @t10 @t21 @t41 @t51 @t2 @t248) (=> @t799 (=> @t798 (tptp.hBOOL (tptp.hAPP @t345 @t795)))))) % 6.71/6.99 (assume @p541 (forall @t329 (=> @t801 (not @t323)))) % 6.71/6.99 (assume @p542 (forall @t329 (=> @t305 (=> @t308 @t801)))) % 6.71/6.99 (assume @p543 (forall @t180 (not (tptp.hBOOL (tptp.hAPP @t604 @t176))))) % 6.71/6.99 (assume @p544 (forall @t187 (= @t725 (or @t720 @t717)))) % 6.71/6.99 (assume @p545 (forall @t200 (=> @t641 (=> (not @t803) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t64) @t30)))))) % 6.71/6.99 (assume @p546 (forall @t712 (=> @t711 @t724))) % 6.71/6.99 (assume @p547 (forall (@list @t175 @t804) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t804) @t175)) (not (= @t804 @t175))))) % 6.71/6.99 (assume @p548 (forall (@list @t60 @t115 @t181) (=> (=> @t720 @t806) (=> (=> @t721 @t806) (=> (=> @t717 @t806) @t806))))) % 6.71/6.99 (assume @p549 (forall @t111 (=> @t680 @t702))) % 6.71/6.99 (assume @p550 (forall (@list @t51 @t20 @t21 @t41 @t10) (=> (tptp.class_Groups_Ominus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t148) @t21) @t20) @t51) (tptp.hAPP (tptp.hAPP @t807 @t313) @t315))))) % 6.71/6.99 (assume @p551 (forall @t397 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t784 @t795) @t811)) (tptp.hAPP @t794 @t810))))) % 6.71/6.99 (assume @p552 (forall @t29 (= (tptp.hAPP @t812 @t20) @t800))) % 6.71/6.99 (assume @p553 (forall @t298 (=> @t816 (=> @t815 (= @t347 @t813))))) % 6.71/6.99 (assume @p554 (forall @t462 (=> (= @t795 @t20) (= @t817 @t225)))) % 6.71/6.99 (assume @p555 (forall (@list @t41 @t2 @t248 @t21 @t51 @t10) (=> @t351 (=> @t799 (tptp.hBOOL (tptp.hAPP @t820 @t819)))))) % 6.71/6.99 (assume @p556 (forall @t821 (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t53) @t819))))) % 6.71/6.99 (assume @p557 (forall (@list @t21 @t2 @t41 @t513 @t10) (= (tptp.hBOOL (tptp.hAPP @t824 @t795)) (exists @t7 (and @t823 (= @t513 @t5)))))) % 6.71/6.99 (assume @p558 (forall @t298 (=> @t569 (=> @t815 (= @t580 @t615))))) % 6.71/6.99 (assume @p559 (forall @t298 (=> @t569 (=> @t815 (= @t697 @t727))))) % 6.71/6.99 (assume @p560 (forall @t827 (= (= @t146 @t795) @t826))) % 6.71/6.99 (assume @p561 (forall @t258 (= (tptp.hAPP @t794 @t825) @t146))) % 6.71/6.99 (assume @p562 (forall @t828 (= (= @t795 @t146) @t826))) % 6.71/6.99 (assume @p563 (forall (@list @t20 @t173 @t2 @t10 @t41) (= (tptp.hAPP @t794 @t832) (tptp.hAPP (tptp.hAPP @t594 @t829) @t811)))) % 6.71/6.99 (assume @p564 (forall @t836 (=> @t28 @t835))) % 6.71/6.99 (assume @p565 (forall @t839 (= @t838 (exists (@list @t837) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t837) @t21)) (= @t20 (tptp.hAPP @t794 @t837))))))) % 6.71/6.99 (assume @p566 (forall @t485 (=> @t845 (= (tptp.hAPP @t447 @t844) @t842)))) % 6.71/6.99 (assume @p567 (forall @t462 (= (tptp.hAPP @t794 @t847) (tptp.hAPP (tptp.hAPP @t269 @t795) @t811)))) % 6.71/6.99 (assume @p568 (forall @t329 (=> @t801 @t308))) % 6.71/6.99 (assume @p569 (forall @t329 (=> @t801 @t305))) % 6.71/6.99 (assume @p570 (forall @t329 (= @t801 (and @t305 @t308)))) % 6.71/6.99 (assume @p571 (forall @t55 (= (tptp.hAPP (tptp.hAPP @t784 @t146) @t21) @t146))) % 6.71/6.99 (assume @p572 (forall @t55 (= (tptp.hAPP @t785 @t146) @t21))) % 6.71/6.99 (assume @p573 (forall @t55 (= (tptp.hAPP @t785 @t21) @t146))) % 6.71/6.99 (assume @p574 (forall @t111 (=> @t28 (=> @t110 (= (tptp.hAPP @t849 (tptp.hAPP @t848 @t21)) @t21))))) % 6.71/6.99 (assume @p575 (forall (@list @t20 @t421 @t108 @t21 @t10) (=> @t109 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t421) @t20)) (tptp.hBOOL (tptp.hAPP @t850 (tptp.hAPP @t848 @t421))))))) % 6.71/6.99 (assume @p576 (forall @t29 (tptp.hBOOL (tptp.hAPP @t850 @t21)))) % 6.71/6.99 (assume @p577 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t784 @t311) @t108) (tptp.hAPP (tptp.hAPP @t269 @t852) @t851)))) % 6.71/6.99 (assume @p578 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t269 @t853) @t21) @t366))) % 6.71/6.99 (assume @p579 (forall @t29 (= @t854 @t311))) % 6.71/6.99 (assume @p580 (forall @t425 (= @t856 (tptp.hAPP @t855 @t20)))) % 6.71/6.99 (assume @p581 (forall @t111 (= (tptp.hAPP @t857 @t108) @t856))) % 6.71/6.99 (assume @p582 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t784 @t320) @t108) (tptp.hAPP @t319 @t851)))) % 6.71/6.99 (assume @p583 (forall @t428 (= (tptp.hAPP @t358 @t800) (tptp.hAPP (tptp.hAPP @t784 @t359) (tptp.hAPP @t358 @t20))))) % 6.71/6.99 (assume @p584 (forall @t397 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t795) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 @t817) @t225))))) % 6.71/6.99 (assume @p585 (forall @t821 (=> @t351 (= (tptp.hAPP (tptp.hAPP @t830 @t53) @t819) @t819)))) % 6.71/6.99 (assume @p586 (forall (@list @t41 @t51 @t2 @t10) (tptp.hBOOL (tptp.hAPP @t860 @t859)))) % 6.71/6.99 (assume @p587 (forall (@list @t41 @t10 @t51 @t2 @t248) (=> @t799 (tptp.hBOOL (tptp.hAPP @t345 @t859))))) % 6.71/6.99 (assume @p588 (forall @t69 (=> @t455 (= @t862 (tptp.hAPP @t453 @t469))))) % 6.71/6.99 (assume @p589 (forall @t397 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t794 @t864)) (tptp.hAPP (tptp.hAPP @t264 @t795) @t811))))) % 6.71/6.99 (assume @p590 (forall @t107 (=> @t569 (= (tptp.hAPP @t865 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t51 @t97)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t506 @t507))))) % 6.71/6.99 (assume @p591 (forall @t869 (and @t868 (=> @t673 (= @t867 (tptp.hAPP @t633 @t800)))))) % 6.71/6.99 (assume @p592 (forall @t869 @t868)) % 6.71/6.99 (assume @p593 (forall @t676 (= @t871 @t675))) % 6.71/6.99 (assume @p594 (forall @t687 (= @t872 (tptp.hAPP (tptp.hAPP @t784 @t870) @t20)))) % 6.71/6.99 (assume @p595 (forall @t687 (= @t872 (tptp.hAPP @t812 @t658)))) % 6.71/6.99 (assume @p596 (forall @t55 (= (tptp.hAPP @t785 @t165) @t146))) % 6.71/6.99 (assume @p597 (forall @t29 (= (tptp.hAPP @t319 @t853) @t146))) % 6.71/6.99 (assume @p598 (forall @t29 (=> @t399 (= @t800 @t21)))) % 6.71/6.99 (assume @p599 (forall @t111 (= (tptp.hBOOL (tptp.hAPP @t850 @t108)) (tptp.hBOOL (tptp.hAPP @t27 @t356))))) % 6.71/6.99 (assume @p600 (forall @t29 (=> @t28 (= @t854 @t20)))) % 6.71/6.99 (assume @p601 (forall @t29 (= (tptp.hAPP @t873 @t320) @t21))) % 6.71/6.99 (assume @p602 (forall @t111 (= (tptp.hAPP @t785 @t356) (tptp.hAPP @t857 @t852)))) % 6.71/6.99 (assume @p603 (forall @t111 (= (tptp.hAPP @t785 @t361) (tptp.hAPP @t873 @t852)))) % 6.71/6.99 (assume @p604 (forall (@list @t181 @t115 @t220 @t10) (=> @t120 (=> (tptp.hBOOL (tptp.hAPP @t438 @t115)) (= (tptp.hAPP (tptp.hAPP @t784 (tptp.hAPP @t874 @t181)) (tptp.hAPP @t874 @t115)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t115) @t181)))))) % 6.71/6.99 (assume @p605 (forall @t107 (=> @t569 (= (tptp.hAPP @t865 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t51 @t97)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t506 @t507))))) % 6.71/6.99 (assume @p606 (forall @t55 (= @t331 (tptp.hAPP (tptp.hAPP @t784 @t165) @t21)))) % 6.71/6.99 (assume @p607 (forall @t29 (= (tptp.hAPP @t301 @t800) (tptp.hAPP @t378 @t20)))) % 6.71/6.99 (assume @p608 (forall @t29 (= (tptp.hAPP @t785 @t371) @t320))) % 6.71/6.99 (assume @p609 (forall @t29 (= @t800 (tptp.hAPP @t319 @t371)))) % 6.71/6.99 (assume @p610 (forall @t157 (= @t161 (tptp.hAPP (tptp.hAPP @t875 (tptp.hAPP @t160 @t151)) (tptp.hAPP @t770 @t758))))) % 6.71/6.99 (assume @p611 (forall @t157 (= (tptp.hAPP @t158 @t154) (tptp.hAPP (tptp.hAPP @t875 @t159) (tptp.hAPP @t776 @t758))))) % 6.71/6.99 (assume @p612 (forall @t676 (=> @t344 (= @t871 @t21)))) % 6.71/6.99 (assume @p613 (forall @t376 (=> @t674 (= (tptp.hAPP @t866 @t745) @t21)))) % 6.71/6.99 (assume @p614 (forall @t107 (=> @t569 (= (tptp.hAPP @t865 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t51) @t97)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t506 @t507))))) % 6.71/6.99 (assume @p615 (forall @t107 (=> @t569 (= (tptp.hAPP @t865 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t51 @t97)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t506) @t507))))) % 6.71/6.99 (assume @p616 (forall @t302 (=> @t105 (= (tptp.hAPP (tptp.hAPP @t784 @t876) @t444) @t876)))) % 6.71/6.99 (assume @p617 (forall @t204 (=> @t569 (= (tptp.hAPP @t865 @t129) (tptp.hAPP @t124 @t507))))) % 6.71/6.99 (assume @p618 (forall @t204 (=> @t569 (= (tptp.hAPP @t865 @t126) (tptp.hAPP @t127 @t507))))) % 6.71/6.99 (assume @p619 (forall @t204 (=> @t569 (= (tptp.hAPP @t865 @t135) (tptp.hAPP @t130 @t507))))) % 6.71/6.99 (assume @p620 (forall @t204 (=> @t569 (= (tptp.hAPP @t865 @t132) (tptp.hAPP @t133 @t507))))) % 6.71/6.99 (assume @p621 (forall @t828 (=> @t879 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t301 @t795)) (tptp.hAPP @t794 @t878)))))) % 6.71/6.99 (assume @p622 (forall @t55 (not (exists @t881 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t23 @t880) @t21) @t226))))) % 6.71/6.99 (assume @p623 (forall @t200 (=> @t803 @t883))) % 6.71/6.99 (assume @p624 (forall @t885 (=> @t351 (=> (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t2 @t513 @t786 @t97) (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t2 @t513 @t21 @t884))))) % 6.71/6.99 (assume @p625 (forall @t887 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t41 @t2 @t513 @t786) @t97)) (=> @t351 (tptp.hBOOL (tptp.hAPP @t886 @t884)))))) % 6.71/6.99 (assume @p626 (forall (@list @t97 @t2 @t41 @t21 @t51 @t10) (and (=> @t351 (= @t889 (tptp.hAPP (tptp.hAPP @t830 @t97) (tptp.hAPP @t818 @t786)))) (=> @t674 (= @t889 @t819))))) % 6.71/6.99 (assume @p627 (= (tptp.hAPP @t152 @t890) @t892)) % 6.71/6.99 (assume @p628 (forall @t29 (=> @t680 (exists @t896 @t895)))) % 6.71/6.99 (assume @p629 (forall (@list @t60 @t902 @t220) (=> @t907 (=> (tptp.hBOOL (tptp.hAPP @t60 @t902)) (=> (forall @t905 (=> @t904 (=> (tptp.hBOOL (tptp.hAPP @t60 @t901)) @t900))) @t897))))) % 6.71/6.99 (assume @p630 (forall @t908 (= (tptp.c_Fun_Ofun__upd @t10 @t41 @t2 @t51 @t53) @t2))) % 6.71/6.99 (assume @p631 (forall @t180 (not (tptp.hBOOL (tptp.hAPP @t604 @t890))))) % 6.71/6.99 (assume @p632 (forall @t180 (tptp.hBOOL (tptp.hAPP @t909 @t176)))) % 6.71/6.99 (assume @p633 (forall @t180 (tptp.hBOOL (tptp.hAPP @t910 @t177)))) % 6.71/6.99 (assume @p634 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t910 @t913)) @t720))) % 6.71/6.99 (assume @p635 (forall @t712 (=> @t918 (=> @t917 (tptp.hBOOL (tptp.hAPP @t916 @t193)))))) % 6.71/6.99 (assume @p636 (forall @t197 (=> @t921 (=> (= @t920 @t890) @t207)))) % 6.71/6.99 (assume @p637 (forall @t922 (= (tptp.hAPP @t914 @t193) @t890))) % 6.71/6.99 (assume @p638 (forall @t922 (= (tptp.hAPP @t914 @t890) @t193))) % 6.71/6.99 (assume @p639 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t911 @t890) @t176) @t890))) % 6.71/6.99 (assume @p640 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t890)) % 6.71/6.99 (assume @p641 (forall @t187 (= (= @t924 @t890) @t185))) % 6.71/6.99 (assume @p642 (forall @t197 (=> @t196 @t921))) % 6.71/6.99 (assume @p643 (forall @t204 (=> (tptp.class_Groups_Ozero @t10) (= (= @t925 @t51) @t926)))) % 6.71/6.99 (assume @p644 (forall (@list @t10 @t41 @t97 @t51 @t2) (=> @t928 (= @t927 @t2)))) % 6.71/6.99 (assume @p645 (forall @t933 @t932)) % 6.71/6.99 (assume @p646 (forall (@list @t289 @t248 @t181 @t41 @t10 @t291 @t173) (=> (not @t683) (= (tptp.c_Fun_Ofun__upd @t10 @t41 (tptp.c_Fun_Ofun__upd @t10 @t41 @t181 @t173 @t248) @t291 @t289) (tptp.c_Fun_Ofun__upd @t10 @t41 (tptp.c_Fun_Ofun__upd @t10 @t41 @t181 @t291 @t289) @t173 @t248))))) % 6.71/6.99 (assume @p647 (forall @t933 (and (=> @t931 (= @t930 @t97)) @t932))) % 6.71/6.99 (assume @p648 (forall @t123 (= (tptp.hAPP @t927 @t51) @t97))) % 6.71/6.99 (assume @p649 (forall @t934 (= (tptp.c_Fun_Ofun__upd @t10 @t41 @t888 @t51 @t513) (tptp.c_Fun_Ofun__upd @t10 @t41 @t2 @t51 @t513)))) % 6.71/6.99 (assume @p650 (forall @t935 (= (= @t888 @t2) @t928))) % 6.71/6.99 (assume @p651 (forall (@list @t209 @t176) (=> @t918 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t919 @t706)) @t176))))) % 6.71/6.99 (assume @p652 (forall @t180 (=> @t918 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t919 @t936)) @t176)))) % 6.71/6.99 (assume @p653 (forall (@list @t937 @t938 @t41 @t10) (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t938 @t937 @t146 @t937))) % 6.71/6.99 (assume @p654 (forall @t939 (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t2 @t513 @t146 @t513))) % 6.71/6.99 (assume @p655 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t911 @t941) (tptp.hAPP tptp.c_Nat_OSuc @t208)) (tptp.hAPP (tptp.hAPP @t911 @t915) @t208)))) % 6.71/6.99 (assume @p656 (forall @t197 (= (tptp.hAPP @t940 @t177) @t915))) % 6.71/6.99 (assume @p657 (forall @t947 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP @t602 @t943)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t946) @t945)))))) % 6.71/6.99 (assume @p658 (forall (@list @t176 @t208 @t211) (=> @t708 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t948 @t176)) @t208))))) % 6.71/6.99 (assume @p659 (forall @t954 (=> @t953 (=> @t952 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t950) @t949)) @t185))))) % 6.71/6.99 (assume @p660 (forall @t957 (=> (tptp.hBOOL (tptp.hAPP @t955 @t193)) (=> @t956 (= (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP @t914 @t208)) (tptp.hAPP @t919 @t208)) @t915))))) % 6.71/6.99 (assume @p661 (forall @t954 (=> @t953 (=> @t952 (= (= @t950 @t949) @t721))))) % 6.71/6.99 (assume @p662 (forall @t959 (=> (tptp.hBOOL (tptp.hAPP @t210 @t176)) (= (tptp.hAPP @t919 @t958) @t209)))) % 6.71/6.99 (assume @p663 (forall @t947 (=> @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t914 @t943)) (tptp.hAPP @t919 @t943)))))) % 6.71/6.99 (assume @p664 (forall @t947 (=> @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t946) @t945))))) % 6.71/6.99 (assume @p665 (forall @t197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t915) @t193)))) % 6.71/6.99 (assume @p666 (forall @t489 (=> @t575 (= (tptp.hAPP @t843 @t960) @t81)))) % 6.71/6.99 (assume @p667 (forall @t489 (=> @t575 (= (tptp.hAPP @t843 @t81) @t960)))) % 6.71/6.99 (assume @p668 (forall @t570 (=> @t816 (= @t347 @t961)))) % 6.71/6.99 (assume @p669 (forall @t570 (=> @t577 (= @t961 @t347)))) % 6.71/6.99 (assume @p670 (forall @t174 (=> @t963 (= (= @t566 @t173) @t962)))) % 6.71/6.99 (assume @p671 (forall @t174 (=> @t577 (= (= @t566 @t925) @t962)))) % 6.71/6.99 (assume @p672 (forall @t174 (=> @t963 (= (= @t173 @t566) @t962)))) % 6.71/6.99 (assume @p673 (forall @t174 (=> @t577 (= (= @t925 @t566) (= @t925 @t173))))) % 6.71/6.99 (assume @p674 (forall @t471 (=> @t575 (= (tptp.hAPP @t447 @t960) @t960)))) % 6.71/6.99 (assume @p675 (= (tptp.hAPP @t158 @t890) (tptp.hAPP @t965 @t964))) % 6.71/6.99 (assume @p676 (forall @t922 (not (= @t198 @t890)))) % 6.71/6.99 (assume @p677 (forall @t922 (not (= @t890 @t198)))) % 6.71/6.99 (assume @p678 (forall (@list @t966) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t966) @t890)))) % 6.71/6.99 (assume @p679 (forall (@list @t967) (not (= @t890 (tptp.hAPP tptp.c_Nat_OSuc @t967))))) % 6.71/6.99 (assume @p680 (forall @t180 (=> @t969 @t918))) % 6.71/6.99 (assume @p681 (forall @t197 (=> @t603 @t969))) % 6.71/6.99 (assume @p682 (forall @t973 (= @t972 @t970))) % 6.71/6.99 (assume @p683 (forall @t973 (= (tptp.hBOOL (tptp.hAPP @t189 @t890)) @t971))) % 6.71/6.99 (assume @p684 (forall @t939 (tptp.hBOOL (tptp.hAPP @t974 @t513)))) % 6.71/6.99 (assume @p685 (forall (@list @t51 @t513 @t2 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t974 @t51)) @t975))) % 6.71/6.99 (assume @p686 (forall @t976 (= (tptp.c_Nat_Onat_Onat__case @t10 @t287 @t285 @t890) @t287))) % 6.71/6.99 (assume @p687 (forall @t973 (= @t978 (tptp.hAPP @t891 (tptp.hAPP @t965 @t977))))) % 6.71/6.99 (assume @p688 (= (tptp.hAPP @t160 @t890) @t964)) % 6.71/6.99 (assume @p689 (forall (@list @t220 @t221 @t10) (=> @t222 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t221 @t890 @t220) @t220)))) % 6.71/6.99 (assume @p690 (forall @t983 (= (tptp.hAPP @t965 @t982) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t980) @t979)))) % 6.71/6.99 (assume @p691 (forall @t197 (tptp.hBOOL (tptp.hAPP @t916 @t198)))) % 6.71/6.99 (assume @p692 (forall @t712 (=> @t206 (= @t941 (tptp.hAPP tptp.c_Nat_OSuc @t915))))) % 6.71/6.99 (assume @p693 (forall @t954 (=> @t953 (=> @t952 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t950) @t949)) @t720))))) % 6.71/6.99 (assume @p694 (forall @t984 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t81) @t85)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t82) @t81)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP (tptp.hAPP @t911 @t81) @t82)) (tptp.hAPP (tptp.hAPP @t911 @t85) @t82))))))) % 6.71/6.99 (assume @p695 (forall @t983 (= (tptp.hAPP @t965 @t985) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t980 @t979)))) % 6.71/6.99 (assume @p696 (forall @t570 (=> @t569 (= @t580 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t814) @t925)))))) % 6.71/6.99 (assume @p697 (forall @t570 (=> @t569 (= @t697 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t814) @t925)))))) % 6.71/6.99 (assume @p698 (forall @t174 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t987 @t566)) @t986)))) % 6.71/6.99 (assume @p699 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t568 @t566)) @t986)))) % 6.71/6.99 (assume @p700 (forall @t174 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t572 @t925)) @t988)))) % 6.71/6.99 (assume @p701 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t572 @t173)) @t988)))) % 6.71/6.99 (assume @p702 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t699 @t173)) @t990)))) % 6.71/6.99 (assume @p703 (forall @t174 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t699 @t925)) @t990)))) % 6.71/6.99 (assume @p704 (forall @t174 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t989 @t566)) @t991)))) % 6.71/6.99 (assume @p705 (forall @t489 (=> @t575 (= (tptp.hAPP (tptp.hAPP @t840 @t960) @t81) @t574)))) % 6.71/6.99 (assume @p706 (forall @t973 (= @t970 (exists @t237 @t992)))) % 6.71/6.99 (assume @p707 (forall @t973 (= (tptp.hBOOL (tptp.hAPP @t714 @t936)) @t971))) % 6.71/6.99 (assume @p708 (forall @t187 (= @t723 (or @t996 (exists @t995 (and (= @t181 (tptp.hAPP tptp.c_Nat_OSuc @t993)) (tptp.hBOOL (tptp.hAPP @t994 @t115)))))))) % 6.71/6.99 (assume @p709 (forall @t885 (=> @t674 (=> @t998 (tptp.hBOOL (tptp.hAPP @t997 @t884)))))) % 6.71/6.99 (assume @p710 (forall @t760 (= (tptp.hAPP @t759 @t890) @t758))) % 6.71/6.99 (assume @p711 (forall @t973 (= @t1000 @t977))) % 6.71/6.99 (assume @p712 (= (tptp.hAPP @t155 @t890) @t758)) % 6.71/6.99 (assume @p713 (forall @t973 (= @t1002 @t1001))) % 6.71/6.99 (assume @p714 (forall @t1008 (= (exists @t237 (and @t1007 @t1006)) (exists @t7 (and @t1005 @t168))))) % 6.71/6.99 (assume @p715 (forall @t1008 (= (forall @t237 (=> @t1007 @t1006)) (forall @t7 (=> @t1005 @t168))))) % 6.71/6.99 (assume @p716 (forall @t1008 (= (forall @t237 (=> @t1010 @t1006)) (forall @t7 (=> @t1009 @t168))))) % 6.71/6.99 (assume @p717 (forall @t1008 (= (exists @t237 (and @t1010 @t1006)) (exists @t7 (and @t1009 @t168))))) % 6.71/6.99 (assume @p718 (forall @t174 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t696 @t566)) @t991)))) % 6.71/6.99 (assume @p719 (forall (@list @t51 @t21 @t173 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t173 @t21) @t51)) (=> @t432 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t675) @t51)))))) % 6.71/6.99 (assume @p720 (forall (@list @t1016 @t938 @t937 @t1014 @t1015 @t41 @t10) (= (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t1015 @t1014 @t937 @t1017) (or (and @t1018 (= @t1017 @t1014)) (exists @t284 (and (= @t1017 (tptp.hAPP (tptp.hAPP @t1015 @t3) @t282)) (tptp.hBOOL (tptp.hAPP @t170 @t937)) (tptp.c_Nitpick_Ofold__graph_H @t10 @t41 @t1015 @t1014 (tptp.hAPP (tptp.hAPP @t784 @t937) @t1013) @t282))))))) % 6.71/6.99 (assume @p721 (forall (@list @t173 @t51 @t21 @t248 @t10) (=> @t1022 (=> (tptp.hBOOL (tptp.hAPP @t1021 @t51)) (=> @t344 (=> @t1020 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1019 @t173 (tptp.hAPP @t606 @t870)) @t51)))))))) % 6.71/6.99 (assume @p722 (forall @t397 (= @t1026 (and @t1025 @t1024 (= (tptp.hAPP (tptp.hAPP @t398 @t1023) (tptp.hAPP @t818 @t853)) @t825))))) % 6.71/6.99 (assume @p723 (forall @t1027 (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t146))) % 6.71/6.99 (assume @p724 (forall @t55 (=> @t569 (tptp.c_Fun_Oinj__on @t10 @t10 @t505 @t21)))) % 6.71/6.99 (assume @p725 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t1028 @t915) @t208) (tptp.hAPP (tptp.hAPP @t911 @t1032) @t1030)))) % 6.71/6.99 (assume @p726 (forall @t214 (= @t1035 (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP @t1033 @t208)) @t211)))) % 6.71/6.99 (assume @p727 (forall @t957 (= (tptp.hAPP @t1036 @t915) (tptp.hAPP (tptp.hAPP @t911 @t1038) @t1037)))) % 6.71/6.99 (assume @p728 (forall @t485 (=> @t1045 (=> @t1044 (or @t1040 @t1039))))) % 6.71/6.99 (assume @p729 (forall @t485 (=> @t1045 (=> @t1047 (=> @t1046 (not @t1044)))))) % 6.71/6.99 (assume @p730 (forall @t570 (=> (tptp.class_Rings_Oring__no__zero__divisors @t10) (= (= @t1050 @t925) (or @t962 @t1048))))) % 6.71/6.99 (assume @p731 (forall @t827 (= @t1025 (forall @t7 (=> @t250 (forall @t412 (=> @t1052 (=> (= @t5 @t1051) @t409)))))))) % 6.71/6.99 (assume @p732 (forall @t489 (=> @t1054 @t1053))) % 6.71/6.99 (assume @p733 (forall @t489 (=> @t1054 @t1055))) % 6.71/6.99 (assume @p734 (forall @t570 (=> @t1057 (= (= (tptp.hAPP @t1049 @t173) (tptp.hAPP @t1056 @t248)) (or @t347 @t576))))) % 6.71/6.99 (assume @p735 (forall @t485 (=> @t1059 (= (tptp.hAPP @t1058 @t578) @t1043)))) % 6.71/6.99 (assume @p736 (forall @t485 (=> @t1059 (= @t1061 @t1060)))) % 6.71/6.99 (assume @p737 (forall @t485 (=> @t1059 (= @t1062 @t1061)))) % 6.71/6.99 (assume @p738 (forall @t485 (=> @t1059 (= @t1062 @t1060)))) % 6.71/6.99 (assume @p739 (forall @t485 (=> @t1063 (= (tptp.hAPP @t1042 @t1043) @t1043)))) % 6.71/6.99 (assume @p740 (forall @t35 (=> @t1063 (= @t1065 @t30)))) % 6.71/6.99 (assume @p741 (forall @t489 (=> @t1063 (= @t1066 @t81)))) % 6.71/6.99 (assume @p742 (forall @t94 (=> (tptp.class_Groups_Oab__semigroup__mult @t31) (= (tptp.hAPP (tptp.hAPP @t1041 @t1043) @t82) (tptp.hAPP @t1042 @t1068))))) % 6.71/6.99 (assume @p743 (forall @t1069 (=> @t1025 (=> @t162 (=> @t351 (=> @t350 @t98)))))) % 6.71/6.99 (assume @p744 (forall @t1069 (=> @t1025 (=> @t351 (=> @t350 @t163))))) % 6.71/6.99 (assume @p745 (forall @t1069 (=> @t1025 (=> @t628 (=> @t351 (=> @t350 @t1070)))))) % 6.71/6.99 (assume @p746 (forall @t1072 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t1071))) % 6.71/6.99 (assume @p747 (forall @t1073 (=> @t1024 (=> @t28 @t1025)))) % 6.71/6.99 (assume @p748 (forall @t935 (=> @t1074 @t163))) % 6.71/6.99 (assume @p749 (forall @t935 (=> @t1074 (=> @t162 @t98)))) % 6.71/6.99 (assume @p750 (forall @t397 (=> @t1025 (=> @t1024 (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t320))))) % 6.71/6.99 (assume @p751 (forall @t397 (=> @t1025 (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t800)))) % 6.71/6.99 (assume @p752 (forall @t1081 (= (= @t1080 @t1078) @t1076))) % 6.71/6.99 (assume @p753 (forall @t954 (= @t1085 @t1076))) % 6.71/6.99 (assume @p754 (forall @t187 (= (= @t1086 @t890) (or @t996 @t971)))) % 6.71/6.99 (assume @p755 (forall @t922 (= (tptp.hAPP @t1031 @t890) @t890))) % 6.71/6.99 (assume @p756 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t1028 @t890) @t176) @t890))) % 6.71/6.99 (assume @p757 (forall @t954 (= (= @t1089 @t1088) @t721))) % 6.71/6.99 (assume @p758 (forall @t922 (tptp.hBOOL (tptp.hAPP @t194 @t1090)))) % 6.71/6.99 (assume @p759 (forall @t922 (tptp.hBOOL (tptp.hAPP @t194 (tptp.hAPP @t1031 @t1090))))) % 6.71/6.99 (assume @p760 (forall @t214 (=> @t213 (tptp.hBOOL (tptp.hAPP @t1095 @t1092))))) % 6.71/6.99 (assume @p761 (forall @t214 (=> @t213 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1097) @t1096))))) % 6.71/6.99 (assume @p762 (forall @t1099 (=> @t213 (=> @t1098 (tptp.hBOOL (tptp.hAPP @t1095 (tptp.hAPP @t1091 @t943))))))) % 6.71/6.99 (assume @p763 (forall @t485 (=> @t1106 (=> (or (and @t1105 @t1104) (and @t1103 @t1102)) @t1100)))) % 6.71/6.99 (assume @p764 (forall @t485 (=> @t1108 (=> (or (and @t1105 @t1102) (and @t1103 @t1104)) @t1107)))) % 6.71/6.99 (assume @p765 (forall @t1116 (=> @t1115 (=> @t92 (=> @t1114 (=> @t1102 @t1113)))))) % 6.71/6.99 (assume @p766 (forall @t1116 (=> @t1115 (=> @t92 (=> @t1114 (=> @t1105 @t1113)))))) % 6.71/6.99 (assume @p767 (forall @t89 (=> @t1108 (=> @t88 (=> @t1121 @t1120))))) % 6.71/6.99 (assume @p768 (forall @t89 (=> @t1108 (=> @t88 (=> @t1121 @t1122))))) % 6.71/6.99 (assume @p769 (forall @t94 (=> (tptp.class_Rings_Oordered__comm__semiring @t31) @t1123))) % 6.71/6.99 (assume @p770 (forall @t94 (=> @t1115 @t1123))) % 6.71/6.99 (assume @p771 (forall @t94 (=> @t1115 (=> @t92 (=> @t1112 @t1122))))) % 6.71/6.99 (assume @p772 (forall @t485 (=> @t1108 (=> @t1103 (=> @t1104 @t1107))))) % 6.71/6.99 (assume @p773 (forall @t485 (=> @t1106 (=> @t1103 (=> @t1102 @t1100))))) % 6.71/6.99 (assume @p774 (forall @t485 (=> @t1106 (=> @t1105 (=> @t1104 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1124) @t960))))))) % 6.71/6.99 (assume @p775 (forall @t485 (=> @t1106 (=> @t1105 (=> @t1104 @t1100))))) % 6.71/6.99 (assume @p776 (forall @t485 (=> @t1106 (=> @t1105 (=> @t1102 @t1107))))) % 6.71/6.99 (assume @p777 (forall @t570 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1050) @t925)) @t1127)))) % 6.71/6.99 (assume @p778 (forall @t570 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP @t987 @t1050)) @t1129)))) % 6.71/6.99 (assume @p779 (forall @t489 (=> @t1130 (tptp.hBOOL (tptp.hAPP @t1101 @t1066))))) % 6.71/6.99 (assume @p780 (forall @t489 (=> @t1130 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1066) @t960)))))) % 6.71/6.99 (assume @p781 (forall @t1137 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP @t1136 @t1134)) @t1133)))) % 6.71/6.99 (assume @p782 (forall @t1142 (=> @t1128 (= @t1141 @t1133)))) % 6.71/6.99 (assume @p783 (forall @t1142 (=> @t1128 (=> @t1132 (= @t1141 @t697))))) % 6.71/6.99 (assume @p784 (forall @t485 (=> @t1147 (=> @t1146 (=> @t1145 @t1144))))) % 6.71/6.99 (assume @p785 (forall @t485 (=> @t1147 (=> @t1146 (=> @t1149 @t1148))))) % 6.71/6.99 (assume @p786 (forall @t485 (=> @t1147 (=> @t1146 (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1124) @t960))))))) % 6.71/6.99 (assume @p787 (forall @t485 (=> @t1147 (=> @t1144 @t1150)))) % 6.71/6.99 (assume @p788 (forall @t647 (=> @t1147 (=> (tptp.hBOOL (tptp.hAPP @t1143 @t1124)) @t1150)))) % 6.71/6.99 (assume @p789 (forall @t1142 (=> @t1128 (=> @t1131 (= @t1141 @t664))))) % 6.71/6.99 (assume @p790 (forall @t485 (=> @t1147 (=> @t1151 (=> @t1145 @t1148))))) % 6.71/6.99 (assume @p791 (forall @t485 (=> @t1152 (=> @t1151 (=> @t1149 @t1144))))) % 6.71/6.99 (assume @p792 (forall @t94 (=> @t1147 (=> @t646 (=> @t1155 @t1154))))) % 6.71/6.99 (assume @p793 (forall @t94 (=> @t1147 @t1157))) % 6.71/6.99 (assume @p794 (forall @t94 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t31) @t1157))) % 6.71/6.99 (assume @p795 (forall @t89 (=> @t1152 (=> @t644 (=> @t1158 @t1154))))) % 6.71/6.99 (assume @p796 (forall @t89 (=> @t1152 (=> @t644 (=> @t1158 @t1156))))) % 6.71/6.99 (assume @p797 (forall @t828 (=> @t122 (=> @t119 @t1025)))) % 6.71/6.99 (assume @p798 (forall @t397 (=> @t1074 @t1159))) % 6.71/6.99 (assume @p799 (forall @t397 (=> @t1026 @t1159))) % 6.71/6.99 (assume @p800 (forall @t1161 (=> @t1147 (=> @t1120 @t1160)))) % 6.71/6.99 (assume @p801 (forall @t1162 (=> @t1147 (=> @t1122 @t1160)))) % 6.71/6.99 (assume @p802 (forall @t1161 (=> @t1147 @t1164))) % 6.71/6.99 (assume @p803 (forall @t1161 (=> @t1165 @t1164))) % 6.71/6.99 (assume @p804 (forall @t1162 (=> @t1147 @t1166))) % 6.71/6.99 (assume @p805 (forall @t1162 (=> @t1165 @t1166))) % 6.71/6.99 (assume @p806 (forall @t1116 (=> @t1147 (=> @t92 (=> @t1169 (=> @t1146 @t1168)))))) % 6.71/6.99 (assume @p807 (forall @t1116 (=> @t1147 (=> @t646 (=> @t1114 (=> @t1105 (=> @t1155 @t1167))))))) % 6.71/6.99 (assume @p808 (forall @t1116 (=> @t1147 (=> @t646 (=> @t1169 (=> @t1105 @t1168)))))) % 6.71/6.99 (assume @p809 (forall @t1116 (=> @t1147 (=> @t646 (=> @t1169 (=> @t1145 @t1168)))))) % 6.71/6.99 (assume @p810 (forall @t1142 (=> @t1128 (=> @t1131 (= @t1170 @t295))))) % 6.71/6.99 (assume @p811 (forall @t1142 (=> @t1128 (=> @t1132 (= @t1170 @t580))))) % 6.71/6.99 (assume @p812 (forall @t1073 (=> @t1024 (=> @t680 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t393) @t819) @t833)))))) % 6.71/6.99 (assume @p813 (forall (@list @t51 @t21 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP @t1171 @t51)) @t430))) % 6.71/6.99 (assume @p814 (forall (@list @t51 @t2 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t146) @t51))))) % 6.71/6.99 (assume @p815 (forall @t187 (= (= @t1086 @t936) (and @t1173 @t1172)))) % 6.71/6.99 (assume @p816 (forall @t214 (=> @t710 (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1097) @t1096)))))) % 6.71/6.99 (assume @p817 (forall @t214 (=> @t710 (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1094) @t1092)))))) % 6.71/6.99 (assume @p818 (forall @t1081 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1080) @t1078)) @t1176))) % 6.71/6.99 (assume @p819 (forall @t954 (= @t1177 @t1176))) % 6.71/6.99 (assume @p820 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t910 @t1086)) (and @t1178 @t970)))) % 6.71/6.99 (assume @p821 (forall @t954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1089) @t1088)) @t720))) % 6.71/6.99 (assume @p822 (forall @t954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1089) @t1088)) @t185))) % 6.71/6.99 (assume @p823 (forall (@list @t248 @t2 @t41 @t10) (=> @t1074 (= (tptp.hBOOL (tptp.hAPP @t820 @t1181)) (exists @t7 (and (= @t248 @t5) (forall @t1180 (=> (= @t248 @t283) @t1179)))))))) % 6.71/6.99 (assume @p824 (forall @t1183 (=> @t1074 (= (tptp.hBOOL (tptp.hAPP @t1182 @t819)) @t344)))) % 6.71/6.99 (assume @p825 (forall @t397 (=> @t1074 (= @t835 @t28)))) % 6.71/6.99 (assume @p826 (forall @t1186 (=> @t1185 (=> @t109 (=> @t110 @t1184))))) % 6.71/6.99 (assume @p827 (forall @t397 (=> @t1074 @t1184))) % 6.71/6.99 (assume @p828 (forall @t1186 (=> @t1185 (=> @t109 (=> @t110 @t1187))))) % 6.71/6.99 (assume @p829 (forall @t397 (=> @t1074 @t1187))) % 6.71/6.99 (assume @p830 (forall (@list @t51 @t97 @t21 @t2 @t41 @t10) (=> @t1025 (=> (not @t1189) (tptp.c_Fun_Oinj__on @t10 @t41 @t888 @t21))))) % 6.71/6.99 (assume @p831 (forall @t712 (=> @t1193 (=> @t1192 (tptp.hBOOL (tptp.hAPP @t604 @t1190)))))) % 6.71/6.99 (assume @p832 (forall @t712 (=> @t1193 (=> @t1192 (tptp.hBOOL (tptp.hAPP @t604 @t1194)))))) % 6.71/6.99 (assume @p833 (forall @t712 (=> @t1193 (=> @t1192 (tptp.hBOOL (tptp.hAPP @t1191 @t1190)))))) % 6.71/6.99 (assume @p834 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t1195 @t1086)) (and (tptp.hBOOL (tptp.hAPP @t1195 @t181)) (tptp.hBOOL (tptp.hAPP @t1195 @t115)))))) % 6.71/6.99 (assume @p835 (forall @t1081 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1080) @t1078)) @t1196))) % 6.71/6.99 (assume @p836 (forall @t954 (= @t1197 @t1196))) % 6.71/6.99 (assume @p837 (forall (@list @t513 @t97 @t21 @t248 @t10) (=> @t1022 (=> (tptp.hBOOL (tptp.hAPP @t1021 @t97)) (=> @t1020 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t1019 @t513 @t607) (tptp.hAPP @t1198 @t97)))))))) % 6.71/6.99 (assume @p838 (forall @t69 (=> @t1199 @t642))) % 6.71/6.99 (assume @p839 (forall @t827 (=> @t1074 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t1201) @t1200))))) % 6.71/6.99 (assume @p840 (forall (@list @t248 @t173 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t658) @t248)) @t347))) % 6.71/6.99 (assume @p841 (forall @t1183 (= (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t675) (and @t1025 (not (tptp.hBOOL (tptp.hAPP @t1182 (tptp.hAPP @t818 @t870)))))))) % 6.71/6.99 (assume @p842 (forall (@list @t1202 @t41 @t10 @t21) (=> @t430 (= (exists @t881 (and @t1205 (tptp.hBOOL (tptp.hAPP @t1204 @t1202)))) (exists (@list @t1203) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 @t1203) @t1202) @t21)))))) % 6.71/6.99 (assume @p843 (forall @t954 (=> @t1175 (= @t1197 @t185)))) % 6.71/6.99 (assume @p844 (forall @t954 (=> @t1175 (= @t1085 @t721)))) % 6.71/6.99 (assume @p845 (forall @t954 (=> @t1175 (= @t1177 @t720)))) % 6.71/6.99 (assume @p846 (forall @t489 (=> @t1206 @t1053))) % 6.71/6.99 (assume @p847 (forall @t489 (=> @t1206 @t1055))) % 6.71/6.99 (assume @p848 (forall (@list @t20 @t51 @t21 @t2 @t41 @t10) (=> @t1025 (=> @t1209 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1208) @t20))))))) % 6.71/6.99 (assume @p849 (forall (@list @t2 @t41 @t10 @t728) (=> (not (= @t728 @t242)) (=> (forall @t1212 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t1211) @t728)) (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t1211))) (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t1210))))) % 6.71/6.99 (assume @p850 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t1028 @t1190) @t208) (tptp.hAPP @t1031 @t1030)))) % 6.71/6.99 (assume @p851 (forall @t197 (= @t1190 @t1194))) % 6.71/6.99 (assume @p852 (forall @t1224 (=> @t1206 (= @t1223 (tptp.hAPP @t1219 (tptp.hAPP @t1215 @t1213)))))) % 6.71/6.99 (assume @p853 (forall @t1224 (=> @t1206 (= @t1223 (tptp.hAPP @t1220 (tptp.hAPP @t1222 @t1213)))))) % 6.71/6.99 (assume @p854 (forall @t1224 (=> @t1206 (= @t1223 (tptp.hAPP @t1218 (tptp.hAPP @t1215 @t1221)))))) % 6.71/6.99 (assume @p855 (forall @t1226 (=> @t1206 (= @t1225 (tptp.hAPP @t1219 @t1214))))) % 6.71/6.99 (assume @p856 (forall @t1226 (=> @t1206 (= @t1225 (tptp.hAPP @t1218 (tptp.hAPP @t1215 @t1216)))))) % 6.71/6.99 (assume @p857 (forall @t1228 (=> @t1206 (= @t1227 (tptp.hAPP @t1219 @t1213))))) % 6.71/6.99 (assume @p858 (forall @t1228 (=> @t1206 (= @t1227 (tptp.hAPP @t1220 (tptp.hAPP @t1218 @t1213)))))) % 6.71/6.99 (assume @p859 (forall @t485 (=> @t1206 (= @t1043 @t1124)))) % 6.71/6.99 (assume @p860 (forall @t954 (= @t1085 (or @t1075 @t721)))) % 6.71/6.99 (assume @p861 (forall @t1229 (=> @t1025 (=> @t351 (= (tptp.hAPP @t1207 @t53) @t51))))) % 6.71/6.99 (assume @p862 (forall @t1069 (=> @t1025 (=> @t928 (=> @t351 (= @t1230 @t51)))))) % 6.71/6.99 (assume @p863 (forall @t908 (=> @t1074 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t10 @t41 @t165 @t2) @t53) @t51)))) % 6.71/6.99 (assume @p864 (forall @t827 (=> @t1025 (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 @t1207) @t819) @t21)))) % 6.71/6.99 (assume @p865 (forall @t827 (=> @t1025 (tptp.c_Fun_Oinj__on @t41 @t10 @t1207 @t819)))) % 6.71/6.99 (assume @p866 (forall (@list @t97 @t21 @t2 @t41 @t10) (=> @t1025 (=> @t1189 (= (tptp.hAPP @t2 @t1230) @t97))))) % 6.71/6.99 (assume @p867 (forall (@list @t51 @t337 @t173 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t1237) @t51)) (not (forall @t1238 (=> (= @t1237 @t1236) (=> (tptp.hBOOL (tptp.hAPP @t1234 @t51)) @t1233))))))) % 6.71/6.99 (assume @p868 (forall (@list @t1015 @t937 @t938 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t1240) @t1015)) (exists @t1238 (and (= @t1240 @t1236) (tptp.hBOOL (tptp.hAPP @t1234 @t1015)) (not @t1233)))))) % 6.71/6.99 (assume @p869 (forall @t1242 (= @t1241 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1004 @t982)) @t168))))) % 6.71/6.99 (assume @p870 (forall @t180 (=> @t918 (= @t176 @t1245)))) % 6.71/6.99 (assume @p871 (forall @t180 (=> @t918 (= @t1245 @t176)))) % 6.71/6.99 (assume @p872 (forall @t1253 (=> @t907 (= @t1252 (tptp.hBOOL (tptp.hAPP @t719 @t1249)))))) % 6.71/6.99 (assume @p873 (forall @t1257 (=> @t1256 (= @t1252 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1254) @t115)))))) % 6.71/6.99 (assume @p874 (forall @t598 (=> @t1260 (= (tptp.hBOOL (tptp.hAPP @t989 @t1259)) @t970)))) % 6.71/6.99 (assume @p875 (forall @t1267 (=> @t1206 (= (tptp.hAPP @t1266 @t193) (tptp.hAPP @t1265 @t193))))) % 6.71/6.99 (assume @p876 (forall (@list @t81 @t193 @t31) (=> @t1206 (= (tptp.hAPP @t1266 @t1271) @t1270)))) % 6.71/6.99 (assume @p877 (forall (@list @t193 @t81 @t31) (=> @t1206 (= (tptp.hAPP @t1272 @t193) @t1270)))) % 6.71/6.99 (assume @p878 (forall @t1116 (=> @t1206 (= (tptp.hAPP @t1280 @t1278) (tptp.hAPP @t1276 @t1274))))) % 6.71/6.99 (assume @p879 (forall @t94 (=> @t1206 (= @t1281 (tptp.hAPP @t1276 @t85))))) % 6.71/6.99 (assume @p880 (forall @t94 (=> @t1206 @t1283))) % 6.71/6.99 (assume @p881 (forall @t1285 (=> @t1206 (= @t1284 (tptp.hAPP @t1276 @t528))))) % 6.71/6.99 (assume @p882 (forall @t1285 (=> @t1206 (= @t1284 (tptp.hAPP @t1277 (tptp.hAPP @t1268 @t528)))))) % 6.71/6.99 (assume @p883 (forall (@list @t82 @t81 @t31) (=> @t1206 (= @t1275 @t1286)))) % 6.71/6.99 (assume @p884 (forall @t1081 (= (= @t1290 @t1288) @t721))) % 6.71/6.99 (assume @p885 (forall @t954 (= (= @t1293 @t1292) @t721))) % 6.71/6.99 (assume @p886 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t1248 @t1297) @t208) (tptp.hAPP @t1296 @t1295)))) % 6.71/6.99 (assume @p887 (forall @t665 (=> @t1299 (= (= @t1298 @t1259) @t721)))) % 6.71/6.99 (assume @p888 (forall @t1303 (= (tptp.hAPP @t1300 @t1302) (tptp.hAPP @t1301 (tptp.hAPP @t1300 @t70))))) % 6.71/6.99 (assume @p889 (forall @t197 (= @t1297 @t1304))) % 6.71/6.99 (assume @p890 (forall @t1309 (=> @t1308 (= (tptp.hAPP @t1305 @t1297) (tptp.hAPP (tptp.hAPP @t1262 @t1307) @t1306))))) % 6.71/6.99 (assume @p891 (forall @t471 (=> @t1308 (= (tptp.hAPP @t1305 @t1243) @t1261)))) % 6.71/6.99 (assume @p892 (forall @t1267 (=> @t1308 (= (tptp.hAPP @t1305 @t198) (tptp.hAPP @t1263 @t1307))))) % 6.71/6.99 (assume @p893 (forall @t89 (=> @t1311 (=> (= @t1310 @t1286) @t86)))) % 6.71/6.99 (assume @p894 (forall @t94 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t31) @t1312))) % 6.71/6.99 (assume @p895 (forall @t94 (=> @t1311 @t1312))) % 6.71/6.99 (assume @p896 (forall (@list @t291 @t173 @t248 @t10) (=> @t1318 (= (= @t1317 @t1315) @t659)))) % 6.71/6.99 (assume @p897 (forall @t662 (=> @t1318 (= (= @t1321 @t1320) @t659)))) % 6.71/6.99 (assume @p898 (forall @t94 (=> (tptp.class_Groups_Oab__semigroup__add @t31) @t1283))) % 6.71/6.99 (assume @p899 (forall @t204 (=> (tptp.class_Groups_Oone @t10) (= (= @t1322 @t51) @t1323)))) % 6.71/6.99 (assume @p900 (forall @t180 (= @t177 @t1325))) % 6.71/6.99 (assume @p901 (forall @t180 (= @t177 @t1326))) % 6.71/6.99 (assume @p902 (forall @t489 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t645 @t1269))))) % 6.71/6.99 (assume @p903 (forall @t471 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t1143 @t1264))))) % 6.71/6.99 (assume @p904 (forall @t1161 (=> @t1330 (=> @t1329 @t92)))) % 6.71/6.99 (assume @p905 (forall @t1162 (=> @t1330 (=> @t1332 @t92)))) % 6.71/6.99 (assume @p906 (forall @t1116 (=> @t1333 (=> @t92 (=> @t1114 (tptp.hBOOL (tptp.hAPP @t1331 @t1274))))))) % 6.71/6.99 (assume @p907 (forall @t94 (=> @t1333 (=> @t92 @t1329)))) % 6.71/6.99 (assume @p908 (forall @t94 (=> @t1333 (=> @t92 @t1332)))) % 6.71/6.99 (assume @p909 (forall @t1142 (=> @t1335 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1315) @t1334)) @t580)))) % 6.71/6.99 (assume @p910 (forall @t1137 (=> @t1335 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1320) @t1336)) @t580)))) % 6.71/6.99 (assume @p911 (forall @t489 (=> @t1338 @t1337))) % 6.71/6.99 (assume @p912 (forall @t489 (=> @t1339 @t1337))) % 6.71/6.99 (assume @p913 (forall @t174 (=> @t963 (= (= @t925 @t1340) @t962)))) % 6.71/6.99 (assume @p914 (forall @t489 (=> @t1338 @t1342))) % 6.71/6.99 (assume @p915 (forall @t489 (=> @t1339 @t1342))) % 6.71/6.99 (assume @p916 (forall @t489 (=> @t1206 @t1342))) % 6.71/6.99 (assume @p917 (forall @t489 (=> @t1206 @t1337))) % 6.71/6.99 (assume @p918 (forall @t446 (=> @t1343 (= (= @t248 @t1317) @t962)))) % 6.71/6.99 (assume @p919 (forall @t1161 (=> @t1330 (=> @t1344 @t646)))) % 6.71/6.99 (assume @p920 (forall @t1162 (=> @t1330 (=> @t1346 @t646)))) % 6.71/6.99 (assume @p921 (forall @t1116 (=> @t1349 (=> @t646 @t1348)))) % 6.71/6.99 (assume @p922 (forall @t94 (=> @t1349 (=> @t646 @t1344)))) % 6.71/6.99 (assume @p923 (forall @t94 (=> @t1349 (=> @t646 @t1346)))) % 6.71/6.99 (assume @p924 (forall @t1142 (=> @t1335 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1315) @t1334)) @t697)))) % 6.71/6.99 (assume @p925 (forall @t1137 (=> @t1335 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1320) @t1336)) @t697)))) % 6.71/6.99 (assume @p926 (forall @t94 (=> (tptp.class_Rings_Ocomm__semiring @t31) @t1351))) % 6.71/6.99 (assume @p927 (forall (@list @t82 @t85 @t1352 @t81 @t31) (=> (tptp.class_Rings_Osemiring @t31) (= (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1042 @t1352)) (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1067 @t1352)) @t82)) (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1350 @t1352)) @t82))))) % 6.71/6.99 (assume @p928 (forall (@list @t513 @t51 @t97 @t1354 @t10) (=> @t1343 (= (= (tptp.hAPP (tptp.hAPP @t1313 @t1358) @t1357) (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t1356 @t513)) (tptp.hAPP @t1355 @t97))) (or (= @t1354 @t51) @t1353))))) % 6.71/6.99 (assume @p929 (forall (@list @t85 @t193 @t81 @t31) (=> @t1206 (= (tptp.hAPP @t1272 (tptp.hAPP @t1067 @t193)) (tptp.hAPP @t1350 @t193))))) % 6.71/6.99 (assume @p930 (forall @t94 (=> @t1206 @t1351))) % 6.71/6.99 (assume @p931 (forall @t298 (=> @t1343 (= (and @t605 (not @t813)) (not (= (tptp.hAPP (tptp.hAPP @t1313 @t1135) (tptp.hAPP @t1056 @t289)) (tptp.hAPP (tptp.hAPP @t1313 @t1359) @t1134))))))) % 6.71/6.99 (assume @p932 (forall @t80 (=> @t1206 (= (tptp.hAPP @t1064 @t1363) (tptp.hAPP (tptp.hAPP @t1262 @t1361) @t1360))))) % 6.71/6.99 (assume @p933 (forall @t485 (=> @t575 (= (tptp.hAPP @t1364 @t85) @t81)))) % 6.71/6.99 (assume @p934 (forall @t485 (=> @t575 (= (tptp.hAPP (tptp.hAPP @t1262 @t844) @t85) @t81)))) % 6.71/6.99 (assume @p935 (forall @t471 (=> @t1365 (not (= @t960 @t1261))))) % 6.71/6.99 (assume @p936 (forall @t471 (=> @t1365 (not (= @t1261 @t960))))) % 6.71/6.99 (assume @p937 (forall @t489 (=> @t1367 @t1366))) % 6.71/6.99 (assume @p938 (forall @t489 (=> @t1368 @t1366))) % 6.71/6.99 (assume @p939 (forall @t489 (=> @t1367 @t1369))) % 6.71/6.99 (assume @p940 (forall @t489 (=> @t1368 @t1369))) % 6.71/6.99 (assume @p941 (forall @t489 (=> @t1206 @t1366))) % 6.71/6.99 (assume @p942 (forall @t489 (=> @t1206 @t1369))) % 6.71/6.99 (assume @p943 (forall @t485 (=> @t845 (= @t1371 (tptp.hAPP @t1370 @t578))))) % 6.71/6.99 (assume @p944 (forall @t485 (=> @t575 (= @t1371 (tptp.hAPP (tptp.hAPP @t1262 @t578) @t574))))) % 6.71/6.99 (assume @p945 (forall @t485 (=> @t575 (= (tptp.hAPP @t1268 (tptp.hAPP @t1370 @t85)) @t85)))) % 6.71/6.99 (assume @p946 (forall @t485 (=> @t575 (= (tptp.hAPP @t1370 @t1279) @t85)))) % 6.71/6.99 (assume @p947 (forall @t197 (=> (= @t1297 @t193) @t968))) % 6.71/6.99 (assume @p948 (forall @t187 (= (= @t1372 @t890) (and @t996 @t971)))) % 6.71/6.99 (assume @p949 (forall @t922 (= (tptp.hAPP @t1296 @t890) @t193))) % 6.71/6.99 (assume @p950 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t1248 @t890) @t176) @t176))) % 6.71/6.99 (assume @p951 (forall @t197 (= @t1374 @t1373))) % 6.71/6.99 (assume @p952 (forall @t197 (= @t1375 @t1373))) % 6.71/6.99 (assume @p953 (forall @t197 (= @t1375 @t1374))) % 6.71/6.99 (assume @p954 (forall @t1379 (not (tptp.hBOOL (tptp.hAPP @t1378 @t209))))) % 6.71/6.99 (assume @p955 (forall @t1382 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1381) @t209))))) % 6.71/6.99 (assume @p956 (forall @t954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1293) @t1292)) @t720))) % 6.71/6.99 (assume @p957 (forall @t1384 (=> @t710 (tptp.hBOOL (tptp.hAPP @t709 @t1383))))) % 6.71/6.99 (assume @p958 (forall @t1384 (=> @t710 (tptp.hBOOL (tptp.hAPP @t709 @t1385))))) % 6.71/6.99 (assume @p959 (forall @t214 (=> @t710 (tptp.hBOOL (tptp.hAPP @t1388 @t1386))))) % 6.71/6.99 (assume @p960 (forall @t1099 (=> @t710 (=> @t1391 (tptp.hBOOL (tptp.hAPP @t1388 @t1389)))))) % 6.71/6.99 (assume @p961 (forall (@list @t176 @t193 @t943 @t208) (=> @t1391 (=> (= (tptp.hAPP @t1296 @t943) @t1393) @t603)))) % 6.71/6.99 (assume @p962 (forall @t214 (=> (tptp.hBOOL (tptp.hAPP @t1378 @t208)) (tptp.hBOOL (tptp.hAPP @t709 @t208))))) % 6.71/6.99 (assume @p963 (forall @t1395 (=> (tptp.hBOOL (tptp.hAPP @t802 @t70)) @t1394))) % 6.71/6.99 (assume @p964 (forall @t1303 (=> @t803 @t1394))) % 6.71/6.99 (assume @p965 (forall @t712 (tptp.hBOOL (tptp.hAPP @t205 @t1297)))) % 6.71/6.99 (assume @p966 (forall @t712 (tptp.hBOOL (tptp.hAPP @t205 @t1304)))) % 6.71/6.99 (assume @p967 (forall @t187 (= @t185 (exists @t1398 (= @t115 @t1397))))) % 6.71/6.99 (assume @p968 (forall @t954 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1293) @t1292)) @t185))) % 6.71/6.99 (assume @p969 (forall @t1384 (=> @t213 (tptp.hBOOL (tptp.hAPP @t210 @t1383))))) % 6.71/6.99 (assume @p970 (forall @t1384 (=> @t213 (tptp.hBOOL (tptp.hAPP @t210 @t1385))))) % 6.71/6.99 (assume @p971 (forall @t214 (=> @t213 (tptp.hBOOL (tptp.hAPP @t1399 @t1386))))) % 6.71/6.99 (assume @p972 (forall @t1099 (=> @t213 (=> @t1098 (tptp.hBOOL (tptp.hAPP @t1399 @t1389)))))) % 6.71/6.99 (assume @p973 (forall @t1402 (=> @t1401 @t956))) % 6.71/6.99 (assume @p974 (forall @t1402 (=> @t1401 @t196))) % 6.71/6.99 (assume @p975 (forall @t1402 (=> @t1401 (not (=> @t196 (not @t956)))))) % 6.71/6.99 (assume @p976 (forall @t1303 (=> @t883 @t1403))) % 6.71/6.99 (assume @p977 (forall @t1395 (=> (tptp.hBOOL (tptp.hAPP @t882 @t70)) @t1403))) % 6.71/6.99 (assume @p978 (forall @t1402 (= (tptp.hAPP @t1404 @t1295) @t915))) % 6.71/6.99 (assume @p979 (forall @t957 (= (tptp.hAPP (tptp.hAPP @t911 @t1405) @t1393) @t915))) % 6.71/6.99 (assume @p980 (forall @t214 (= @t1035 (tptp.hAPP @t1033 @t1386)))) % 6.71/6.99 (assume @p981 (forall @t712 (= (tptp.hAPP @t1406 @t176) @t193))) % 6.71/6.99 (assume @p982 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t911 @t1297) @t176) @t193))) % 6.71/6.99 (assume @p983 (forall @t957 (= (tptp.hAPP @t1036 @t1297) (tptp.hAPP (tptp.hAPP @t1248 @t1038) @t1037)))) % 6.71/6.99 (assume @p984 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t1028 @t1297) @t208) (tptp.hAPP (tptp.hAPP @t1248 @t1032) @t1030)))) % 6.71/6.99 (assume @p985 (forall (@list @t208 @t211 @t1407 @t209) (= (tptp.hAPP @t1409 (tptp.hAPP @t1408 @t208)) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t1377) @t1407)) @t208)))) % 6.71/6.99 (assume @p986 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t1028 @t1243) @t176) @t176))) % 6.71/6.99 (assume @p987 (forall @t187 (= (= @t1243 @t1086) @t1410))) % 6.71/6.99 (assume @p988 (forall @t180 (= (tptp.hAPP @t1029 @t1243) @t176))) % 6.71/6.99 (assume @p989 (forall @t187 (= (= @t1086 @t1243) @t1410))) % 6.71/6.99 (assume @p990 (forall @t1416 (=> (tptp.class_Rings_Olinordered__semiring__1 @t31) (=> @t519 (=> (tptp.hBOOL (tptp.hAPP @t65 @t81)) (=> @t1415 (=> @t1414 (=> @t1413 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1412) @t81)))))))))) % 6.71/6.99 (assume @p991 (forall @t197 (and (=> @t1418 (= @t1297 @t176)) (=> @t1419 (= @t1297 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1248 @t1417) @t176))))))) % 6.71/6.99 (assume @p992 (forall @t197 (and (=> @t1418 (= @t1190 @t890)) (=> @t1419 (= @t1190 (tptp.hAPP @t1294 (tptp.hAPP (tptp.hAPP @t1028 @t1417) @t176))))))) % 6.71/6.99 (assume @p993 (forall @t1416 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t31) (=> @t692 (=> (tptp.hBOOL (tptp.hAPP @t630 @t81)) (=> @t1415 (=> @t1414 (=> @t1413 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1412) @t81)))))))))) % 6.71/6.99 (assume @p994 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t987 @t1340)) @t988)))) % 6.71/6.99 (assume @p995 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1340) @t925)) @t986)))) % 6.71/6.99 (assume @p996 (forall @t485 (=> @t1420 (=> @t1105 (=> @t1102 (tptp.hBOOL (tptp.hAPP @t1101 @t1279))))))) % 6.71/6.99 (assume @p997 (forall @t107 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t10) (=> (tptp.hBOOL (tptp.hAPP @t987 @t51)) (=> (tptp.hBOOL (tptp.hAPP @t987 @t97)) (= (= @t1424 @t925) @t1422)))))) % 6.71/6.99 (assume @p998 (forall @t94 (=> @t1420 (=> @t1105 (=> @t96 @t1425))))) % 6.71/6.99 (assume @p999 (forall @t1426 (=> @t1420 (=> @t1112 (=> @t88 @t1425))))) % 6.71/6.99 (assume @p1000 (forall @t485 (=> @t1420 (=> @t1103 (=> @t1104 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1279) @t960))))))) % 6.71/6.99 (assume @p1001 (forall @t1116 (=> @t1349 (=> @t646 (=> @t1114 @t1347))))) % 6.71/6.99 (assume @p1002 (forall @t1116 (=> @t1349 (=> @t92 @t1348)))) % 6.71/6.99 (assume @p1003 (forall @t94 (=> @t1327 (=> @t1146 @t1428)))) % 6.71/6.99 (assume @p1004 (forall @t485 (=> @t1420 (=> @t1151 @t1430)))) % 6.71/6.99 (assume @p1005 (forall @t485 (=> @t1420 (=> @t1146 @t1432)))) % 6.71/6.99 (assume @p1006 (forall @t174 (=> @t963 @t1433))) % 6.71/6.99 (assume @p1007 (forall @t174 (=> @t963 (= (tptp.hBOOL (tptp.hAPP @t989 @t1340)) @t990)))) % 6.71/6.99 (assume @p1008 (forall @t107 (=> @t1128 (= (= @t1435 @t925) @t1422)))) % 6.71/6.99 (assume @p1009 (forall (@list @t528 @t82 @t85 @t81 @t1436 @t31) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t31) (=> (not (= @t1436 @t960)) (=> (and @t95 (not (= @t82 @t528))) (not (= (tptp.hAPP @t1268 (tptp.hAPP @t1437 @t82)) (tptp.hAPP @t1273 (tptp.hAPP @t1437 @t528))))))))) % 6.71/6.99 (assume @p1010 (forall @t1444 (=> @t1443 (= @t1442 (= @t291 @t1439))))) % 6.71/6.99 (assume @p1011 (forall @t1444 (=> @t1443 (= @t1442 (= @t1445 @t289))))) % 6.71/6.99 (assume @p1012 (forall @t485 (=> @t575 (=> (= @t1279 @t960) (= @t574 @t85))))) % 6.71/6.99 (assume @p1013 (forall @t489 (=> @t845 @t1446))) % 6.71/6.99 (assume @p1014 (forall @t489 (=> @t575 @t1446))) % 6.71/6.99 (assume @p1015 (forall @t570 (=> @t577 (= @t576 (= @t1321 @t925))))) % 6.71/6.99 (assume @p1016 (forall @t489 (=> @t575 (= (tptp.hAPP @t1268 @t574) @t960)))) % 6.71/6.99 (assume @p1017 (forall @t471 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t1101 @t1261))))) % 6.71/6.99 (assume @p1018 (forall @t471 (=> @t1327 (not (tptp.hBOOL (tptp.hAPP @t1447 @t960)))))) % 6.71/6.99 (assume @p1019 (forall @t471 (=> @t1327 (not (tptp.hBOOL (tptp.hAPP @t1448 @t960)))))) % 6.71/6.99 (assume @p1020 (forall @t471 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t1143 @t1261))))) % 6.71/6.99 (assume @p1021 (forall @t1309 (=> @t1327 (=> (tptp.hBOOL (tptp.hAPP @t1448 @t193)) (=> (tptp.hBOOL (tptp.hAPP @t1448 @t176)) (tptp.hBOOL (tptp.hAPP @t1448 (tptp.hAPP (tptp.hAPP @t1041 @t193) @t176)))))))) % 6.71/6.99 (assume @p1022 (forall @t485 (=> @t575 (= (tptp.hAPP @t843 @t578) @t1279)))) % 6.71/6.99 (assume @p1023 (forall @t485 (=> @t845 @t1449))) % 6.71/6.99 (assume @p1024 (forall @t485 (=> @t575 @t1449))) % 6.71/6.99 (assume @p1025 (forall @t69 (=> @t1451 (= @t862 (tptp.hAPP @t1450 @t469))))) % 6.71/6.99 (assume @p1026 (forall @t1452 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t1101 @t1306))))) % 6.71/6.99 (assume @p1027 (forall @t1267 (=> @t1327 (tptp.hBOOL (tptp.hAPP @t1101 @t1307))))) % 6.71/6.99 (assume @p1028 (forall @t1267 (=> @t1327 (not (tptp.hBOOL (tptp.hAPP @t1453 @t960)))))) % 6.71/6.99 (assume @p1029 (forall @t204 (=> @t1455 (= (= @t1434 @t1322) (or @t1323 (= @t51 @t1454)))))) % 6.71/6.99 (assume @p1030 (forall @t35 (=> @t1451 (= @t448 (tptp.hAPP (tptp.hAPP @t1041 @t1456) @t30))))) % 6.71/6.99 (assume @p1031 (forall @t471 (=> @t1308 (= (tptp.hAPP @t1305 @t890) @t960)))) % 6.71/6.99 (assume @p1032 (forall @t187 (= (= @t936 @t1372) @t1457))) % 6.71/6.99 (assume @p1033 (forall @t187 (= (= @t1372 @t936) @t1457))) % 6.71/6.99 (assume @p1034 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t910 @t1372)) (or @t1178 @t970)))) % 6.71/6.99 (assume @p1035 (forall @t1309 (=> @t1327 (=> @t1458 @t603)))) % 6.71/6.99 (assume @p1036 (forall @t1309 (=> @t1327 (=> @t603 @t1458)))) % 6.71/6.99 (assume @p1037 (forall @t665 (=> @t1260 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1298) @t1259)) @t720)))) % 6.71/6.99 (assume @p1038 (forall @t187 (= @t720 (exists @t1398 (= @t115 (tptp.hAPP tptp.c_Nat_OSuc @t1397)))))) % 6.71/6.99 (assume @p1039 (forall @t1459 (tptp.hBOOL (tptp.hAPP @t709 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1296 @t209)))))) % 6.71/6.99 (assume @p1040 (forall @t1459 (tptp.hBOOL (tptp.hAPP @t709 (tptp.hAPP tptp.c_Nat_OSuc @t1460))))) % 6.71/6.99 (assume @p1041 (forall @t665 (=> @t1260 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1298) @t1259)) @t185)))) % 6.71/6.99 (assume @p1042 (forall @t712 (= (tptp.hAPP @t919 @t1304) @t890))) % 6.71/6.99 (assume @p1043 (= @t1243 @t936)) % 6.71/6.99 (assume @p1044 (forall @t197 (= (tptp.hAPP @t1031 @t177) (tptp.hAPP @t1296 @t1190)))) % 6.71/6.99 (assume @p1045 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t1028 @t198) @t176) (tptp.hAPP @t1294 @t1190)))) % 6.71/6.99 (assume @p1046 (forall @t197 (=> @t704 @t1461))) % 6.71/6.99 (assume @p1047 (forall @t1466 (= (tptp.hBOOL (tptp.hAPP @t1465 @t1464)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1463) @t902))))) % 6.71/6.99 (assume @p1048 (forall @t1309 (=> @t1308 (= (tptp.hAPP @t1305 @t1190) (tptp.hAPP (tptp.hAPP @t1041 @t1307) @t1306))))) % 6.71/6.99 (assume @p1049 (forall @t1469 (=> @t1468 (= (tptp.hAPP @t1033 @t1467) (tptp.hAPP (tptp.hAPP @t911 @t1387) @t211))))) % 6.71/6.99 (assume @p1050 (forall (@list @t220 @t151 @t902) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1464) @t220)) (tptp.hBOOL (tptp.hAPP @t1255 @t1463))))) % 6.71/6.99 (assume @p1051 (forall @t1470 (=> @t956 (tptp.hBOOL (tptp.hAPP @t194 (tptp.hAPP @t1406 @t208)))))) % 6.71/6.99 (assume @p1052 (forall @t712 (=> @t206 @t1461))) % 6.71/6.99 (assume @p1053 (forall @t1469 (=> @t1468 (= @t1472 @t1471)))) % 6.71/6.99 (assume @p1054 (forall (@list @t220 @t902 @t151) (=> (tptp.hBOOL (tptp.hAPP @t951 @t902)) (= (tptp.hBOOL (tptp.hAPP @t906 @t1464)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1463) @t902)))))) % 6.71/6.99 (assume @p1055 (forall @t712 (=> @t206 (= (tptp.hAPP (tptp.hAPP @t1248 @t915) @t176) @t193)))) % 6.71/6.99 (assume @p1056 (forall @t1466 (=> @t907 (= (= @t1247 @t151) (= @t902 (tptp.hAPP @t1291 @t220)))))) % 6.71/6.99 (assume @p1057 (forall @t1469 (=> @t1468 (= @t1471 @t1472)))) % 6.71/6.99 (assume @p1058 (forall @t1469 (=> @t1468 (= @t1474 @t1473)))) % 6.71/6.99 (assume @p1059 (forall @t1469 (=> @t1468 (= @t1473 @t1474)))) % 6.71/6.99 (assume @p1060 (forall @t197 (=> (= @t193 @t1190) (or (= @t176 @t1243) @t1418)))) % 6.71/6.99 (assume @p1061 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t911 @t177) @t1243) @t176))) % 6.71/6.99 (assume @p1062 (forall @t197 (= (tptp.hAPP @t914 @t177) (tptp.hAPP (tptp.hAPP @t911 @t1417) @t176)))) % 6.71/6.99 (assume @p1063 (forall @t1466 (=> @t907 (= (tptp.hAPP @t981 @t1476) (tptp.hAPP (tptp.hAPP @t1477 @t982) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t902) @t1476)))))) % 6.71/6.99 (assume @p1064 (forall @t164 (=> @t1299 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t10 @t1258 @t964)))) % 6.71/6.99 (assume @p1065 (forall @t485 (=> @t1420 (=> @t1146 (=> @t1102 @t1431))))) % 6.71/6.99 (assume @p1066 (forall @t485 (=> @t1420 (=> @t1105 @t1432)))) % 6.71/6.99 (assume @p1067 (forall @t94 (=> @t1420 (=> @t1146 (=> @t96 @t1427))))) % 6.71/6.99 (assume @p1068 (forall @t94 (=> @t1420 (=> @t1105 @t1428)))) % 6.71/6.99 (assume @p1069 (forall @t485 (=> @t1420 (=> @t1151 (=> @t1104 @t1429))))) % 6.71/6.99 (assume @p1070 (forall @t485 (=> @t1420 (=> @t1103 @t1430)))) % 6.71/6.99 (assume @p1071 (forall @t107 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1435) @t925)) @t1422)))) % 6.71/6.99 (assume @p1072 (forall @t69 (=> @t1130 (tptp.hBOOL (tptp.hAPP @t1101 @t1479))))) % 6.71/6.99 (assume @p1073 (forall @t107 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP @t989 @t1435)) @t1481)))) % 6.71/6.99 (assume @p1074 (forall @t69 (=> @t1130 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1479) @t960)))))) % 6.71/6.99 (assume @p1075 (forall @t1444 (=> @t1483 (= @t1482 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1445) @t289)))))) % 6.71/6.99 (assume @p1076 (forall @t1444 (=> @t1483 (= @t1482 (tptp.hBOOL (tptp.hAPP @t292 @t1439)))))) % 6.71/6.99 (assume @p1077 (forall @t1444 (=> @t1483 (= @t1484 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1445) @t289)))))) % 6.71/6.99 (assume @p1078 (forall @t1444 (=> @t1483 (= @t1484 (tptp.hBOOL (tptp.hAPP @t617 @t1439)))))) % 6.71/6.99 (assume @p1079 (forall @t69 (=> @t1199 (=> @t1488 (=> @t1487 (=> @t1486 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1485) @t30)))))))) % 6.71/6.99 (assume @p1080 (forall @t69 (=> @t1199 (=> @t1488 (=> @t1487 (=> @t1486 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1361) @t30)))))))) % 6.71/6.99 (assume @p1081 (forall @t1497 (= @t1496 (and (=> @t1495 @t1494) (forall @t1493 (=> @t1492 @t1491)))))) % 6.71/6.99 (assume @p1082 (forall @t1497 (= @t1496 (not (or (and @t1495 @t1498) (exists @t1493 (and @t1492 (not @t1491)))))))) % 6.71/6.99 (assume @p1083 (forall @t1501 (=> @t1468 (= (tptp.hAPP @t914 @t1500) (tptp.hAPP @t1404 @t1499))))) % 6.71/6.99 (assume @p1084 (forall @t1501 (=> @t1468 (= (tptp.hAPP (tptp.hAPP @t911 @t1500) @t193) (tptp.hAPP (tptp.hAPP @t911 @t1499) @t1405))))) % 6.71/6.99 (assume @p1085 (forall @t1257 (=> @t1256 (= @t1502 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1254) @t115)))))) % 6.71/6.99 (assume @p1086 (forall (@list @t176 @t193 @t1407 @t209 @t211) (=> @t1504 (= @t1503 (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t1034) @t1407)) @t193)) @t176))))) % 6.71/6.99 (assume @p1087 (forall @t1257 (=> @t1256 (= @t1505 (= @t1254 @t115))))) % 6.71/6.99 (assume @p1088 (forall @t1253 (=> @t907 (= @t1502 (tptp.hBOOL (tptp.hAPP @t184 @t1249)))))) % 6.71/6.99 (assume @p1089 (forall (@list @t176 @t193 @t1407 @t211 @t209) (=> @t213 (= @t1503 (tptp.hAPP @t914 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t1506) @t1407)) @t176)))))) % 6.71/6.99 (assume @p1090 (forall @t1253 (=> @t907 (= @t1505 (= @t181 @t1249))))) % 6.71/6.99 (assume @p1091 (forall (@list @t193 @t176 @t31) (=> @t1507 (=> @t206 (= (tptp.hAPP @t1305 @t915) (tptp.hAPP (tptp.hAPP @t840 @t1307) @t1306)))))) % 6.71/6.99 (assume @p1092 (forall (@list @t97 @t51 @t60) (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1511 @t1517))) (and (=> (tptp.hBOOL (tptp.hAPP @t1515 @t51)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t1514 @t1513) @t1512)))) (=> @t1510 @t1509))))) % 6.71/6.99 (assume @p1093 (forall @t174 (=> @t1011 @t1433))) % 6.71/6.99 (assume @p1094 (forall @t712 (tptp.hBOOL (tptp.hAPP @t1522 @t1518)))) % 6.71/6.99 (assume @p1095 (forall @t712 (=> @t206 (= (tptp.hAPP (tptp.hAPP @t1514 @t1518) @t1523) (tptp.hAPP @t1511 @t915))))) % 6.71/6.99 (assume @p1096 (forall @t214 (=> @t1528 (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t1526 @t209)) (tptp.hAPP @t1526 @t211))))))) % 6.71/6.99 (assume @p1097 (forall @t973 (= (tptp.hBOOL (tptp.hAPP @t1530 @t1529)) @t970))) % 6.71/6.99 (assume @p1098 (forall @t174 (=> @t963 @t1531))) % 6.71/6.99 (assume @p1099 (forall @t1534 (=> @t1498 (=> @t1533 (exists @t1398 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1396) @t115)) (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t1532 @t1396)) (not @t900))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t1248 @t1396) @t1243))))))))) % 6.71/6.99 (assume @p1100 (forall @t712 (tptp.hBOOL (tptp.hAPP @t1537 @t1518)))) % 6.71/6.99 (assume @p1101 (forall @t187 (=> (tptp.hBOOL (tptp.hAPP @t1530 @t181)) (= @t1540 @t1539)))) % 6.71/6.99 (assume @p1102 (forall @t1541 (= (tptp.hAPP (tptp.hAPP @t1525 @t1538) @t70) @t70))) % 6.71/6.99 (assume @p1103 (forall @t1541 (= (tptp.hAPP @t1542 @t1538) @t70))) % 6.71/6.99 (assume @p1104 (forall @t1552 (= (tptp.hAPP @t1545 @t1551) (tptp.hAPP (tptp.hAPP @t1549 @t1548) @t1546)))) % 6.71/6.99 (assume @p1105 (forall @t1557 (= (tptp.hAPP (tptp.hAPP @t1525 @t1551) @t1544) (tptp.hAPP (tptp.hAPP @t1549 @t1556) @t1554)))) % 6.71/6.99 (assume @p1106 (forall @t922 (= (tptp.hAPP @t1511 @t198) (tptp.hAPP @t1558 @t1518)))) % 6.71/6.99 (assume @p1107 (= @t1559 @t1538)) % 6.71/6.99 (assume @p1108 (forall @t197 (= (tptp.hAPP @t1561 @t1523) @t1560))) % 6.71/6.99 (assume @p1109 (forall @t187 (= (= @t1562 @t1529) @t721))) % 6.71/6.99 (assume @p1110 (forall (@list @t70 @t176 @t193) (= (tptp.hAPP @t1561 (tptp.hAPP (tptp.hAPP @t1549 @t1523) @t70)) (tptp.hAPP (tptp.hAPP @t1549 @t1560) @t70)))) % 6.71/6.99 (assume @p1111 (forall @t1567 (= @t1566 (exists @t40 (= @t513 (tptp.hAPP @t1564 @t1563)))))) % 6.71/6.99 (assume @p1112 (forall @t1573 (= (tptp.hAPP @t1519 @t1572) (tptp.hAPP @t1570 @t1568)))) % 6.71/6.99 (assume @p1113 (forall @t1567 (= @t1576 (exists @t40 (= @t513 (tptp.hAPP @t1564 @t1574)))))) % 6.71/6.99 (assume @p1114 (forall @t1567 (= @t1578 (or @t1576 @t1577)))) % 6.71/6.99 (assume @p1115 (forall @t214 (=> @t1528 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t1579 @t208)) (tptp.hAPP (tptp.hAPP @t1549 @t211) @t208)))))) % 6.71/6.99 (assume @p1116 (forall (@list @t70 @t1582 @t1544 @t1583) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1583) @t1544)) (=> @t1584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP (tptp.hAPP @t1549 @t1583) @t1582)) @t1581)))))) % 6.71/6.99 (assume @p1117 (forall @t1585 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1544) @t70)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.hAPP @t1580 @t1538)) @t70))))) % 6.71/6.99 (assume @p1118 (forall @t1567 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.hAPP @t1564 @t1538)) @t513)) @t1576))) % 6.71/6.99 (assume @p1119 (forall @t1567 (= @t1578 @t1566))) % 6.71/6.99 (assume @p1120 (forall @t712 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1523) (tptp.hAPP @t1519 @t1518)))))) % 6.71/6.99 (assume @p1121 (forall (@list @t220 @t902) (and (=> @t1588 (= @t1587 @t1590)) (=> (not @t1588) (= @t1587 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t220) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1586 @t902))))))) % 6.71/6.99 (assume @p1122 (not (= @t1508 @t1538))) % 6.71/6.99 (assume @p1123 (forall @t1541 (not (= (tptp.hAPP (tptp.hAPP @t1549 @t1591) @t70) @t1508)))) % 6.71/6.99 (assume @p1124 (forall @t1541 (= (tptp.hAPP (tptp.hAPP @t1549 @t1508) @t70) @t70))) % 6.71/6.99 (assume @p1125 (forall @t1541 (= (tptp.hAPP @t1571 @t1508) @t70))) % 6.71/6.99 (assume @p1126 (forall @t180 (tptp.hBOOL (tptp.hAPP @t1592 @t1523)))) % 6.71/6.99 (assume @p1127 (forall @t180 (tptp.hBOOL (tptp.hAPP @t1537 @t1508)))) % 6.71/6.99 (assume @p1128 (forall @t1541 (= (tptp.hAPP @t1570 @t70) @t1508))) % 6.71/6.99 (assume @p1129 (forall @t1573 (= @t1595 @t1593))) % 6.71/6.99 (assume @p1130 (forall @t1573 (= @t1593 @t1595))) % 6.71/6.99 (assume @p1131 (forall @t1596 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1524) @t1508))))) % 6.71/6.99 (assume @p1132 (tptp.hBOOL (tptp.hAPP @t1530 @t1538))) % 6.71/6.99 (assume @p1133 (forall @t1599 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1558 @t513)) @t513)) @t1508)) @t1598))) % 6.71/6.99 (assume @p1134 (forall @t1541 (=> @t1600 (tptp.hBOOL (tptp.hAPP @t1530 @t1591))))) % 6.71/6.99 (assume @p1135 (forall @t1567 (= (tptp.hBOOL (tptp.hAPP @t1565 (tptp.hAPP @t1601 @t1538))) @t1576))) % 6.71/6.99 (assume @p1136 (forall @t1599 (= (tptp.hBOOL (tptp.hAPP @t1603 @t513)) @t1602))) % 6.71/6.99 (assume @p1137 (forall @t1606 (= @t1605 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP (tptp.hAPP @t1514 @t151) @t227)) @t1508))))) % 6.71/6.99 (assume @p1138 (= (tptp.hAPP @t1519 @t1508) @t1508)) % 6.71/6.99 (assume @p1139 (forall @t1608 (= (tptp.hBOOL (tptp.hAPP @t1597 @t1354)) (and (tptp.hBOOL (tptp.hAPP @t1607 @t1354)) (not (= @t513 @t1354)))))) % 6.71/6.99 (assume @p1140 (forall @t200 (or (tptp.hBOOL (tptp.hAPP @t1610 @t64)) @t76 (tptp.hBOOL (tptp.hAPP @t1609 @t30))))) % 6.71/6.99 (assume @p1141 (forall @t1541 (= (tptp.hAPP @t1519 @t1569) @t70))) % 6.71/6.99 (assume @p1142 (forall @t1573 (= (tptp.hAPP (tptp.hAPP @t1525 @t1569) @t1544) (tptp.hAPP @t1519 @t1611)))) % 6.71/6.99 (assume @p1143 (forall @t1613 (= (tptp.hAPP (tptp.hAPP @t1525 (tptp.hAPP @t1555 @t1543)) @t1612) (tptp.hAPP @t1555 (tptp.hAPP @t1553 @t1612))))) % 6.71/6.99 (assume @p1144 (forall @t1573 (= @t1611 @t1614))) % 6.71/6.99 (assume @p1145 (forall @t1557 (= (tptp.hAPP (tptp.hAPP @t1525 @t1615) @t1544) (tptp.hAPP (tptp.hAPP @t1514 @t1556) @t1554)))) % 6.71/6.99 (assume @p1146 (forall @t1552 (= (tptp.hAPP @t1545 @t1615) (tptp.hAPP (tptp.hAPP @t1514 @t1548) @t1546)))) % 6.71/6.99 (assume @p1147 (forall @t214 (=> @t1528 (=> @t1617 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t1616 @t209)) (tptp.hAPP @t1616 @t211))))))) % 6.71/6.99 (assume @p1148 (= (tptp.hAPP @t1511 @t936) @t1538)) % 6.71/6.99 (assume @p1149 (forall @t192 (= (= (tptp.hAPP @t1519 @t1529) @t1562) @t1618))) % 6.71/6.99 (assume @p1150 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t1619 (tptp.hAPP @t1519 @t1562))) @t1618))) % 6.71/6.99 (assume @p1151 (forall @t973 (= (tptp.hBOOL (tptp.hAPP @t1619 @t1508)) @t971))) % 6.71/6.99 (assume @p1152 (forall @t973 (= (= @t1529 @t1508) @t971))) % 6.71/6.99 (assume @p1153 (= @t1620 @t1508)) % 6.71/6.99 (assume @p1154 (forall @t180 (tptp.hBOOL (tptp.hAPP @t1522 @t1508)))) % 6.71/6.99 (assume @p1155 (forall @t180 (not (tptp.hBOOL (tptp.hAPP @t1592 @t1520))))) % 6.71/6.99 (assume @p1156 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t1621 @t1529)) @t720))) % 6.71/6.99 (assume @p1157 (forall @t187 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1562) @t1529)) @t185))) % 6.71/6.99 (assume @p1158 (forall @t197 (= @t1623 @t1622))) % 6.71/6.99 (assume @p1159 (forall @t197 (= @t1622 @t1623))) % 6.71/6.99 (assume @p1160 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1511 @t964)) % 6.71/6.99 (assume @p1161 (forall @t200 (= (tptp.hAPP (tptp.hAPP @t1525 @t1626) @t1625) (tptp.hAPP @t1511 @t1624)))) % 6.71/6.99 (assume @p1162 (forall @t1627 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1513) @t1512)) @t1510))) % 6.71/6.99 (assume @p1163 (forall @t1635 (=> @t1634 (=> @t1633 (=> @t1630 (tptp.hBOOL (tptp.hAPP @t1629 @t1538))))))) % 6.71/6.99 (assume @p1164 (forall @t1635 (=> @t1634 (=> @t1633 (=> (tptp.hBOOL (tptp.hAPP @t1636 @t81)) (tptp.hBOOL (tptp.hAPP @t1603 @t1628))))))) % 6.71/6.99 (assume @p1165 (forall @t1645 (=> @t1644 (=> @t1642 (=> @t1639 (tptp.hBOOL (tptp.hAPP @t1592 @t1637))))))) % 6.71/6.99 (assume @p1166 (forall @t1645 (=> @t1648 (=> @t1647 (=> @t1639 (tptp.hBOOL (tptp.hAPP @t1646 @t1508))))))) % 6.71/6.99 (assume @p1167 (forall @t1654 (=> @t1653 (=> @t1647 (=> (tptp.hBOOL (tptp.hAPP @t1641 @t85)) (=> @t1650 @t1649)))))) % 6.71/6.99 (assume @p1168 (forall @t402 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1656) @t261) @t1655))) % 6.71/6.99 (assume @p1169 (forall @t1573 (= @t1572 @t1581))) % 6.71/6.99 (assume @p1170 (forall @t1303 (= (tptp.hAPP @t1657 (tptp.hAPP @t1658 @t70)) (tptp.hAPP @t1658 (tptp.hAPP @t1657 @t70))))) % 6.71/6.99 (assume @p1171 (forall @t1613 (= (tptp.hAPP (tptp.hAPP @t1549 @t1551) @t1612) (tptp.hAPP @t1550 (tptp.hAPP (tptp.hAPP @t1549 @t1543) @t1612))))) % 6.71/6.99 (assume @p1172 (forall @t214 (=> @t1661 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.hAPP @t1659 @t209)) (tptp.hAPP @t1659 @t211)))))) % 6.71/6.99 (assume @p1173 (forall @t402 (= (tptp.hAPP @t1663 (tptp.hAPP (tptp.hAPP @t1549 @t261) @t1538)) @t1662))) % 6.71/6.99 (assume @p1174 (forall @t402 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1656 @t261) @t1664))) % 6.71/6.99 (assume @p1175 (forall @t1666 (tptp.hBOOL (tptp.hAPP @t1665 @t1544)))) % 6.71/6.99 (assume @p1176 (forall @t1573 (or @t1669 @t1667))) % 6.71/6.99 (assume @p1177 (forall @t214 (=> @t1661 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t211) @t208)) (tptp.hBOOL (tptp.hAPP @t1660 @t208)))))) % 6.71/6.99 (assume @p1178 (forall @t1573 (=> @t1669 (=> @t1667 (= @t70 @t1544))))) % 6.71/6.99 (assume @p1179 (tptp.hBOOL (tptp.hAPP @t1592 @t1508))) % 6.71/6.99 (assume @p1180 (tptp.hBOOL (tptp.hAPP @t1592 @t1538))) % 6.71/6.99 (assume @p1181 (forall @t200 (=> @t1672 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t1592 @t1670)))))) % 6.71/6.99 (assume @p1182 (forall @t1678 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1677 @t21) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1676 @t1675) @t1674))))) % 6.71/6.99 (assume @p1183 (forall @t1681 (= (tptp.hBOOL (tptp.hAPP @t1680 @t21)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1679 @t1513) @t1675))))) % 6.71/6.99 (assume @p1184 (forall @t1678 (= @t22 (= @t1675 @t1674)))) % 6.71/6.99 (assume @p1185 (forall @t1678 (= (tptp.hBOOL (tptp.hAPP @t1684 @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1682 @t1675) @t1674))))) % 6.71/6.99 (assume @p1186 (forall @t1627 (= (= @t1513 @t1512) @t98))) % 6.71/6.99 (assume @p1187 (forall @t1541 (tptp.hBOOL (tptp.hAPP @t1592 @t1685)))) % 6.71/6.99 (assume @p1188 (forall @t1688 (= (exists @t7 (and @t1687 @t168)) (exists @t7 @t1686)))) % 6.71/6.99 (assume @p1189 (forall @t1688 (= (forall @t7 (=> @t1687 @t168)) (forall @t7 @t1686)))) % 6.71/6.99 (assume @p1190 (forall @t200 (=> @t1672 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t1592 @t1689)))))) % 6.71/6.99 (assume @p1191 (forall @t200 (= (tptp.hAPP (tptp.hAPP @t1549 @t1626) @t1625) (tptp.hAPP @t1511 (tptp.hAPP @t1300 @t64))))) % 6.71/6.99 (assume @p1192 (forall @t1627 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1513) @t1512)) @t1690))) % 6.71/6.99 (assume @p1193 (= @t1538 @t1559)) % 6.71/6.99 (assume @p1194 (= @t1590 (tptp.hAPP @t1673 @t758))) % 6.71/6.99 (assume @p1195 (= @t1508 @t1620)) % 6.71/6.99 (assume @p1196 (forall @t1693 (=> @t1692 (=> @t1648 (=> @t1650 (=> @t1647 (=> @t1639 (=> @t1691 @t1649)))))))) % 6.71/6.99 (assume @p1197 (forall @t1654 (=> @t1653 (=> @t1697 (=> @t1696 (=> (tptp.hBOOL (tptp.hAPP @t1695 @t1640)) @t1694)))))) % 6.71/6.99 (assume @p1198 (forall @t1693 (=> @t1692 (=> @t1644 (=> @t1642 (=> @t1630 (=> @t1639 (=> @t1691 @t1694)))))))) % 6.71/6.99 (assume @p1199 (forall @t1710 (=> @t1709 (forall @t7 (=> @t1708 (=> @t1701 (tptp.hBOOL (tptp.hAPP @t1700 @t1699)))))))) % 6.71/6.99 (assume @p1200 (forall @t1715 (=> @t1709 (forall @t7 (=> @t1714 (=> @t1713 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1712) @t771)))))))) % 6.71/6.99 (assume @p1201 (forall @t1718 (=> @t1709 (=> @t1717 (forall @t7 (=> @t1714 (=> @t1701 (tptp.hBOOL (tptp.hAPP @t1700 @t1712))))))))) % 6.71/6.99 (assume @p1202 (forall @t1721 (=> @t1709 (=> @t1720 (forall @t7 (=> @t1708 (=> @t1713 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1699) @t771))))))))) % 6.71/6.99 (assume @p1203 (forall (@list @t60 @t289) (=> @t1729 (=> (forall @t1727 (= @t168 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1711 (tptp.hAPP (tptp.hAPP @t1525 @t1396) @t289)))))) (= @t1726 (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t1722 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1538 @t289))) @t168))))))) % 6.71/6.99 (assume @p1204 (forall @t1715 (=> @t1709 (forall @t7 (=> @t1714 (=> @t1730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1712) @t771)))))))) % 6.71/6.99 (assume @p1205 (forall @t1710 (=> @t1709 (forall @t7 (=> @t1708 (=> @t1732 (tptp.hBOOL (tptp.hAPP @t1731 @t1699)))))))) % 6.71/6.99 (assume @p1206 (forall @t1721 (=> @t1709 (=> @t1735 (forall @t7 (=> @t1708 (=> @t1733 (not (= @t1699 @t771))))))))) % 6.71/6.99 (assume @p1207 (forall @t1718 (=> @t1709 (=> @t1736 (forall @t7 (=> @t1714 (=> @t1733 (not (= @t1712 @t771))))))))) % 6.71/6.99 (assume @p1208 (forall @t1718 (=> @t1709 (=> @t1736 (forall @t7 (=> @t1714 (=> @t1732 (tptp.hBOOL (tptp.hAPP @t1731 @t1712))))))))) % 6.71/6.99 (assume @p1209 (forall @t1721 (=> @t1709 (=> @t1735 (forall @t7 (=> @t1708 (=> @t1730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1699) @t771))))))))) % 6.71/6.99 (assume @p1210 (forall @t1721 (=> @t1709 (=> @t1720 (=> (forall @t7 (=> @t1737 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t1706 @t21)) (not (= @t771 (tptp.hAPP (tptp.hAPP @t1514 @t408) @t3))))))) (= (tptp.hAPP @t1719 @t421) @t771)))))) % 6.71/6.99 (assume @p1211 (forall @t1718 (=> @t1709 (=> @t1717 (=> (forall @t7 (=> @t1737 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t1706 @t20)) (not (= @t771 (tptp.hAPP (tptp.hAPP @t1549 @t408) @t3))))))) (= (tptp.hAPP @t1716 @t421) @t771)))))) % 6.71/6.99 (assume @p1212 (forall @t1744 (and @t1743 (=> (not @t1740) (= @t1738 @t1508))))) % 6.71/6.99 (assume @p1213 (forall @t200 (=> @t1672 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t1592 @t1738)))))) % 6.71/6.99 (assume @p1214 (forall @t1744 @t1743)) % 6.71/6.99 (assume @p1215 (forall @t200 (= (tptp.c_Nat__Transfer_Otsub @t1626 @t1625) (tptp.hAPP @t1511 (tptp.hAPP (tptp.hAPP @t911 @t30) @t64))))) % 6.71/6.99 (assume @p1216 (forall @t174 (=> @t1011 (=> @t1748 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1746) @t925)) @t991))))) % 6.71/6.99 (assume @p1217 (forall @t1752 (=> (tptp.hBOOL (tptp.hAPP @t1592 @t261)) (= @t1751 (tptp.hAPP @t1673 (tptp.hAPP @t155 @t1749)))))) % 6.71/6.99 (assume @p1218 (forall @t1757 (=> @t1729 (=> (forall @t7 (=> @t168 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1711 @t289))))) (=> @t1756 (forall @t7 (=> @t168 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1711 @t1754)))))))))) % 6.71/6.99 (assume @p1219 (forall @t1758 (=> (tptp.hBOOL (tptp.hAPP @t1610 @t1508)) (exists @t40 (= @t30 (tptp.hAPP @t1519 @t1574)))))) % 6.71/6.99 (assume @p1220 (forall @t1757 (=> @t1729 (=> (forall @t7 (=> @t168 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1698 @t289))))) (=> @t1756 (forall @t7 (=> @t168 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1698 @t1754)))))))))) % 6.71/6.99 (assume @p1221 (forall @t1596 (=> @t1617 (exists @t40 (and @t1759 (= @t208 @t1563)))))) % 6.71/6.99 (assume @p1222 (forall @t489 (=> @t1199 (=> @t1151 (= @t1760 @t1456))))) % 6.71/6.99 (assume @p1223 (forall @t489 (=> @t1199 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t1760) @t1760)))) % 6.71/6.99 (assume @p1224 (forall @t180 (= (tptp.hAPP tptp.c_Int_Onat @t1523) @t176))) % 6.71/6.99 (assume @p1225 (forall @t471 (=> @t1761 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t960) @t960)))) % 6.71/6.99 (assume @p1226 (forall @t174 (=> @t1011 (= (= @t1762 @t925) @t962)))) % 6.71/6.99 (assume @p1227 (forall @t485 (=> @t1199 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t1043) (tptp.hAPP (tptp.hAPP @t1041 @t1760) (tptp.c_Groups_Osgn__class_Osgn @t31 @t85)))))) % 6.71/6.99 (assume @p1228 (= @t1763 @t890)) % 6.71/6.99 (assume @p1229 (= @t890 @t1763)) % 6.71/6.99 (assume @p1230 (forall (@list @t1764 @t513) (=> @t1767 (=> (tptp.hBOOL (tptp.hAPP @t1592 @t1764)) (= (= @t1766 @t1765) (= @t513 @t1764)))))) % 6.71/6.99 (assume @p1231 (forall @t1627 (=> @t1771 (=> @t1770 (= (= @t1769 @t1768) @t98))))) % 6.71/6.99 (assume @p1232 (forall @t1688 (= @t1773 (forall @t7 (=> @t1687 @t1772))))) % 6.71/6.99 (assume @p1233 (forall @t1688 (= @t1726 (exists @t7 (and @t1687 @t1772))))) % 6.71/6.99 (assume @p1234 (= @t1243 @t1774)) % 6.71/6.99 (assume @p1235 (forall @t1776 (= (tptp.hAPP @t1775 @t1675) @t21))) % 6.71/6.99 (assume @p1236 (forall @t1678 (= (tptp.hAPP (tptp.hAPP @t1778 @t21) @t20) (tptp.hAPP @t1775 (tptp.hAPP (tptp.hAPP @t1777 @t1675) @t1674))))) % 6.71/6.99 (assume @p1237 (= @t758 (tptp.hAPP @t1775 @t1590))) % 6.71/6.99 (assume @p1238 (forall @t164 (=> @t1780 (tptp.hBOOL (tptp.hAPP @t1779 @t1747))))) % 6.71/6.99 (assume @p1239 (forall @t1784 (= (= @t1783 @t890) @t1782))) % 6.71/6.99 (assume @p1240 (forall @t1541 (=> @t1787 @t1786))) % 6.71/6.99 (assume @p1241 (forall @t1608 (=> @t1602 @t1791))) % 6.71/6.99 (assume @p1242 (forall @t1567 (= @t1790 (and @t1602 @t1576)))) % 6.71/6.99 (assume @p1243 (forall @t570 (=> @t1780 (=> @t1748 (=> @t1793 (tptp.hBOOL (tptp.hAPP @t1792 @t1747))))))) % 6.71/6.99 (assume @p1244 (forall @t570 (=> @t1780 (=> @t1748 (=> @t1793 (tptp.hBOOL (tptp.hAPP @t1794 @t1747))))))) % 6.71/6.99 (assume @p1245 (forall @t1627 (=> @t1771 (=> @t1770 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1769) @t1768)) @t1796))))) % 6.71/6.99 (assume @p1246 (= @t1774 @t936)) % 6.71/6.99 (assume @p1247 (forall @t570 (=> @t1780 (=> @t1748 (=> @t1793 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t814) @t1747))))))) % 6.71/6.99 (assume @p1248 (forall @t164 (=> @t1780 (tptp.hBOOL (tptp.hAPP @t1797 @t1747))))) % 6.71/6.99 (assume @p1249 (forall @t1541 @t1800)) % 6.71/6.99 (assume @p1250 (forall @t1801 (= (= @t1562 @t513) (and (= @t181 @t1766) @t1767)))) % 6.71/6.99 (assume @p1251 (forall @t1541 (and @t1800 (=> (not @t1600) (= @t1798 @t1508))))) % 6.71/6.99 (assume @p1252 (forall @t1801 (= (tptp.hBOOL (tptp.hAPP @t719 @t1766)) (tptp.hBOOL (tptp.hAPP @t1621 @t513))))) % 6.71/6.99 (assume @p1253 (forall @t174 (=> @t1780 (=> @t1748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t566) @t1747)))))) % 6.71/6.99 (assume @p1254 (forall @t598 (=> @t1780 (tptp.hBOOL (tptp.hAPP @t1802 @t1747))))) % 6.71/6.99 (assume @p1255 (forall @t180 (= (tptp.hAPP tptp.c_Int_Onat @t1535) @t890))) % 6.71/6.99 (assume @p1256 (forall @t174 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1762) @t925)) @t991)))) % 6.71/6.99 (assume @p1257 (forall @t174 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t989 @t1762)) @t990)))) % 6.71/6.99 (assume @p1258 (forall @t187 (= @t666 (tptp.hAPP @t1775 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1562 @t1529))))) % 6.71/6.99 (assume @p1259 (forall @t1599 (= (tptp.hBOOL (tptp.hAPP @t910 @t1766)) @t1602))) % 6.71/6.99 (assume @p1260 (forall @t1567 (=> @t1803 @t1791))) % 6.71/6.99 (assume @p1261 (forall @t1627 (=> @t1771 (=> @t1770 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1769) @t1768)) @t1805))))) % 6.71/6.99 (assume @p1262 (forall @t1807 (= (= @t1788 @t181) @t1806))) % 6.71/6.99 (assume @p1263 (forall (@list @t1354 @t181) (= (= @t181 @t1788) @t1806))) % 6.71/6.99 (assume @p1264 (forall @t1567 (=> (or (tptp.hBOOL (tptp.hAPP @t1530 @t1354)) @t1767) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1788) @t1766)) @t1566)))) % 6.71/6.99 (assume @p1265 (forall @t1809 (= (tptp.hBOOL (tptp.hAPP @t60 @t1783)) (and (forall @t40 (=> (= @t220 @t1563) (tptp.hBOOL (tptp.hAPP @t60 @t36)))) (=> (tptp.hBOOL (tptp.hAPP @t1808 @t1508)) @t1494))))) % 6.71/6.99 (assume @p1266 (forall @t1812 (=> @t1600 (=> @t1811 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1571 @t1582)) (tptp.hAPP (tptp.hAPP @t1248 @t1785) @t1810)))))) % 6.71/6.99 (assume @p1267 (forall @t200 (=> @t1672 (=> @t1671 (= (tptp.hAPP (tptp.hAPP @t1248 @t1814) @t1813) (tptp.hAPP tptp.c_Int_Onat @t1670)))))) % 6.71/6.99 (assume @p1268 (forall @t1812 (=> @t1600 (= @t1815 (tptp.hAPP (tptp.hAPP @t1028 @t1785) @t1810))))) % 6.71/6.99 (assume @p1269 (forall @t200 (=> @t1672 (=> @t1671 (= (tptp.hAPP (tptp.hAPP @t1028 @t1814) @t1813) (tptp.hAPP tptp.c_Int_Onat @t1689)))))) % 6.71/6.99 (assume @p1270 (forall @t1678 (= (tptp.hAPP (tptp.hAPP @t1477 @t21) @t20) (tptp.hAPP @t1775 (tptp.hAPP (tptp.hAPP @t1816 @t1675) @t1674))))) % 6.71/6.99 (assume @p1271 (forall (@list @t70 @t1582) (=> @t1811 (=> @t1584 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1594 @t1582)) (tptp.hAPP (tptp.hAPP @t911 @t1785) @t1810)))))) % 6.71/6.99 (assume @p1272 (forall @t174 (=> @t1817 (=> @t1748 @t1531)))) % 6.71/6.99 (assume @p1273 (forall @t973 (= @t1001 (tptp.hAPP @t1775 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1508 @t1529))))) % 6.71/6.99 (assume @p1274 (forall @t200 (=> @t1672 (=> @t1671 (= (tptp.hAPP (tptp.hAPP @t911 @t1814) @t1813) (tptp.hAPP tptp.c_Int_Onat @t1738)))))) % 6.71/6.99 (assume @p1275 (forall @t489 (=> @t1199 (=> @t1146 (= @t1760 @t1261))))) % 6.71/6.99 (assume @p1276 (forall @t174 (=> @t1011 (= (= @t1762 @t1322) @t990)))) % 6.71/6.99 (assume @p1277 (forall @t1599 (= (tptp.hBOOL (tptp.hAPP @t1191 @t1766)) (tptp.hBOOL (tptp.hAPP @t1818 @t513))))) % 6.71/6.99 (assume @p1278 (forall @t1807 (=> @t1803 (= (tptp.hBOOL (tptp.hAPP @t1789 @t181)) (tptp.hBOOL (tptp.hAPP @t1575 @t1562)))))) % 6.71/6.99 (assume @p1279 (forall @t1541 (=> @t1600 (= (tptp.hAPP tptp.c_Nat_OSuc @t1785) (tptp.hAPP tptp.c_Int_Onat @t1591))))) % 6.71/6.99 (assume @p1280 (forall @t1812 (=> @t1787 (= @t1815 (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP tptp.c_Int_Onat @t1569)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1519 @t1582))))))) % 6.71/6.99 (assume @p1281 (forall @t174 (=> @t1817 (=> @t1748 (not (= @t1746 @t925)))))) % 6.71/6.99 (assume @p1282 (forall @t1823 (and (=> @t1822 (= @t1820 @t1508)) (=> (not @t1822) (and (=> @t1821 (= @t1820 @t1538)) (=> (not @t1821) (= @t1820 @t1819))))))) % 6.71/6.99 (assume @p1283 (forall @t35 (=> @t1761 (and (=> @t1826 (= @t1824 @t960)) (=> (not @t1826) (and (=> @t1825 (= @t1824 @t1261)) (=> (not @t1825) (= @t1824 @t1456)))))))) % 6.71/6.99 (assume @p1284 (forall @t174 (=> @t1011 (= (= @t1762 @t1454) @t991)))) % 6.71/6.99 (assume @p1285 (forall @t959 (= (tptp.c_Int_Onat__aux @t209 @t176) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP tptp.c_Int_Onat @t209)) @t176)))) % 6.71/6.99 (assume @p1286 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t1592)) % 6.71/6.99 (assume @p1287 (forall @t187 (=> (tptp.c_Nat__Transfer_Ois__nat @t181) (=> (tptp.c_Nat__Transfer_Ois__nat @t115) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t181 @t115) (tptp.hAPP @t1673 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t181) (tptp.hAPP tptp.c_Int_Onat @t115)))))))) % 6.71/6.99 (assume @p1288 (forall @t1831 (=> @t1507 (and (=> @t1829 (= @t1828 (tptp.hAPP @t447 (tptp.hAPP @t1305 (tptp.hAPP tptp.c_Int_Onat @t1830))))) (=> (not @t1829) (= @t1828 (tptp.hAPP @t1305 (tptp.hAPP tptp.c_Int_Onat @t208)))))))) % 6.71/6.99 (assume @p1289 (forall @t1678 (=> @t1836 (=> @t1835 (= @t1834 (tptp.hAPP @t1673 (tptp.hAPP (tptp.hAPP @t1477 @t1833) @t1832))))))) % 6.71/6.99 (assume @p1290 (forall @t1678 (=> @t1836 (=> @t1835 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1676 @t21) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1677 @t1833) @t1832))))))) % 6.71/6.99 (assume @p1291 (forall @t1678 (=> @t1836 (=> @t1835 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1682 @t21) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1683 @t1833) @t1832))))))) % 6.71/6.99 (assume @p1292 (forall @t1840 (=> @t1817 (= (= @t1839 @t1838) @t1577)))) % 6.71/6.99 (assume @p1293 (forall @t1627 (=> @t1842 @t1841))) % 6.71/6.99 (assume @p1294 (forall @t1678 (=> @t1836 (=> @t1835 (tptp.c_Nat__Transfer_Onat__set @t1843))))) % 6.71/6.99 (assume @p1295 (forall @t1678 (=> @t1836 (=> @t1835 (tptp.c_Nat__Transfer_Onat__set @t1834))))) % 6.71/6.99 (assume @p1296 (forall @t1845 (=> @t1836 (=> @t1844 @t1842)))) % 6.71/6.99 (assume @p1297 (forall @t180 (= (tptp.hAPP @t1846 @t1523) @t1523))) % 6.71/6.99 (assume @p1298 (forall @t1678 (=> @t1836 (=> @t1835 (= @t22 (= @t1833 @t1832)))))) % 6.71/6.99 (assume @p1299 (tptp.c_Nat__Transfer_Ois__nat @t1508)) % 6.71/6.99 (assume @p1300 (forall @t200 (=> @t1848 (=> @t1847 (tptp.c_Nat__Transfer_Ois__nat @t1670))))) % 6.71/6.99 (assume @p1301 (forall @t1541 (tptp.c_Nat__Transfer_Ois__nat @t1685))) % 6.71/6.99 (assume @p1302 (tptp.c_Nat__Transfer_Ois__nat @t1538)) % 6.71/6.99 (assume @p1303 (forall @t200 (=> @t1848 (=> @t1847 (tptp.c_Nat__Transfer_Ois__nat @t1689))))) % 6.71/6.99 (assume @p1304 (forall @t200 (=> @t1848 (=> @t1847 (tptp.c_Nat__Transfer_Ois__nat @t1738))))) % 6.71/6.99 (assume @p1305 (forall @t1681 (=> @t1842 (=> @t1836 (= @t1844 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1003 @t1769) @t1833))))))) % 6.71/6.99 (assume @p1306 (forall @t1850 (=> @t1817 (= (= @t1838 @t925) @t1849)))) % 6.71/6.99 (assume @p1307 (forall @t1850 (=> @t1817 (= (= @t925 @t1838) @t1849)))) % 6.71/6.99 (assume @p1308 (forall @t471 (=> @t1507 (= (tptp.hAPP @t1827 @t1508) @t960)))) % 6.71/6.99 (assume @p1309 (tptp.c_Nat__Transfer_Onat__set @t1590)) % 6.71/6.99 (assume @p1310 (forall @t1840 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1839) @t1838)) @t1566)))) % 6.71/6.99 (assume @p1311 (forall @t1840 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1839) @t1838)) @t1576)))) % 6.71/6.99 (assume @p1312 (forall @t1853 (=> @t1507 (= (tptp.hAPP @t1827 @t1581) (tptp.hAPP (tptp.hAPP @t1262 @t1852) @t1851))))) % 6.71/6.99 (assume @p1313 (forall @t1853 (=> @t1507 (= (tptp.hAPP @t1827 @t1614) (tptp.hAPP (tptp.hAPP @t1041 @t1852) @t1851))))) % 6.71/6.99 (assume @p1314 (forall @t471 (=> @t1507 (= (tptp.hAPP @t1827 @t1538) @t1261)))) % 6.71/6.99 (assume @p1315 (forall @t1853 (=> @t1507 (= (tptp.hAPP @t1827 (tptp.hAPP (tptp.hAPP @t1514 @t1544) @t70)) (tptp.hAPP (tptp.hAPP @t840 @t1852) @t1851))))) % 6.71/6.99 (assume @p1316 (forall @t1452 (=> @t1507 (= (tptp.hAPP @t1827 @t1523) @t1306)))) % 6.71/6.99 (assume @p1317 (forall @t1854 (=> @t1507 (= (tptp.hAPP @t1827 @t1569) (tptp.hAPP @t447 @t1851))))) % 6.71/6.99 (assume @p1318 (forall @t1850 (=> @t1780 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1838) @t1747))))) % 6.71/6.99 (assume @p1319 (forall (@list @t728) (= (tptp.c_Nat__Transfer_Onat__set @t728) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1722 @t728)) @t1687))))) % 6.71/6.99 (assume @p1320 (forall @t1855 (= @t1842 @t1771))) % 6.71/6.99 (assume @p1321 (forall (@list @t108) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t1673 @t108)))) % 6.71/6.99 (assume @p1322 (forall @t1627 (=> @t1771 @t1841))) % 6.71/6.99 (assume @p1323 (forall @t1776 (=> @t1836 (= (tptp.hAPP @t1673 @t1833) @t21)))) % 6.71/6.99 (assume @p1324 (forall @t1678 (=> @t1836 (=> @t1835 (= @t1843 (tptp.hAPP @t1673 (tptp.hAPP (tptp.hAPP @t1778 @t1833) @t1832))))))) % 6.71/6.99 (assume @p1325 (forall @t1845 (=> @t1836 (=> @t1844 @t1771)))) % 6.71/6.99 (assume @p1326 (forall @t1850 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1838) @t925)) (tptp.hBOOL (tptp.hAPP @t1607 @t1508)))))) % 6.71/6.99 (assume @p1327 (forall @t1850 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t987 @t1838)) @t1767)))) % 6.71/6.99 (assume @p1328 (forall @t1850 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t989 @t1838)) @t1602)))) % 6.71/6.99 (assume @p1329 (forall @t1850 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1838) @t925)) @t1598)))) % 6.71/6.99 (assume @p1330 (forall @t1854 (=> @t1507 (=> @t1600 (= (tptp.hAPP @t1305 @t1785) @t1851))))) % 6.71/6.99 (assume @p1331 (forall (@list @t30 @t70 @t528) (=> @t1858 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t70) (tptp.hAPP @t1657 @t1857)))))) % 6.71/6.99 (assume @p1332 (forall (@list @t70 @t30 @t528) (=> @t1858 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t1741 @t1857)) @t70))))) % 6.71/6.99 (assume @p1333 (forall @t402 (= (tptp.hAPP @t1860 @t1655) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1859 @t1656))))) % 6.71/6.99 (assume @p1334 (forall @t1864 (=> (tptp.hBOOL (tptp.hAPP @t910 @t1862)) (= @t1862 (tptp.hAPP tptp.c_Nat_OSuc @t1863))))) % 6.71/6.99 (assume @p1335 (forall @t402 (= (tptp.hAPP @t1860 @t1662) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t1549 @t1865) @t1538))))) % 6.71/6.99 (assume @p1336 (forall (@list @t64 @t1872 @t1866 @t1867) (=> (= @t1867 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1873 @t1872)) @t64)) (=> (and (=> @t1870 (and @t1671 (tptp.hBOOL (tptp.hAPP @t1609 @t1866)))) (=> @t1871 (and (tptp.hBOOL (tptp.hAPP @t1869 @t64)) (tptp.hBOOL (tptp.hAPP @t1739 @t1508))))) (=> @t1868 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1867 @t1866) @t64)))))) % 6.71/6.99 (assume @p1337 (forall @t1876 (=> @t1875 (=> @t1696 (=> @t1697 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t1874) @t1508))))))) % 6.71/6.99 (assume @p1338 (forall @t1882 (=> @t1881 (= (tptp.hAPP @t1827 @t1880) @t1878)))) % 6.71/6.99 (assume @p1339 (forall @t485 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1883 @t85) @t1883)))) % 6.71/6.99 (assume @p1340 (forall @t489 (=> @t1887 (= (tptp.hAPP @t1885 @t1886) @t1886)))) % 6.71/6.99 (assume @p1341 (forall (@list @t51 @t1354 @t10) (=> @t1890 (= (= @t1889 @t51) (= @t51 @t1889))))) % 6.71/6.99 (assume @p1342 (forall @t107 (=> @t1895 (= @t1893 @t98)))) % 6.71/6.99 (assume @p1343 (forall @t489 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t960 @t81) @t960)))) % 6.71/6.99 (assume @p1344 (forall @t489 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t81 @t960) @t81)))) % 6.71/6.99 (assume @p1345 (forall @t489 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t81 @t81) @t960)))) % 6.71/6.99 (assume @p1346 (forall @t489 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t90 @t1886))))) % 6.71/6.99 (assume @p1347 (forall @t485 (=> @t1887 (=> @t1896 @t92)))) % 6.71/6.99 (assume @p1348 (forall @t471 (=> @t1887 (= (tptp.hAPP @t1885 @t960) @t960)))) % 6.71/6.99 (assume @p1349 (forall @t174 (=> @t1899 (= (= @t1898 @t925) @t962)))) % 6.71/6.99 (assume @p1350 (forall @t1906 (=> @t1884 (=> @t1905 (=> @t1903 (= @t1901 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP (tptp.hAPP @t1262 @t1900) @t1638) @t82))))))) % 6.71/6.99 (assume @p1351 (forall @t1162 (=> @t1884 (= @t1908 @t1901)))) % 6.71/6.99 (assume @p1352 (forall @t94 (=> @t1884 (= @t1909 @t1901)))) % 6.71/6.99 (assume @p1353 (forall @t94 (=> @t1884 (= @t1901 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1907 @t1902) @t82))))) % 6.71/6.99 (assume @p1354 (forall @t94 (=> @t1884 (= @t1901 @t1908)))) % 6.71/6.99 (assume @p1355 (forall @t94 (=> @t1884 (= @t1901 @t1909)))) % 6.71/6.99 (assume @p1356 (forall @t647 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1310 @t85) @t1883)))) % 6.71/6.99 (assume @p1357 (forall @t485 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1279 @t85) @t1883)))) % 6.71/6.99 (assume @p1358 (forall @t94 (=> @t1884 (= @t1910 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1042 @t1902) @t82))))) % 6.71/6.99 (assume @p1359 (forall @t94 (=> @t1884 (= @t1910 @t1912)))) % 6.71/6.99 (assume @p1360 (forall @t94 (=> @t1884 (= @t1910 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1911 @t1902) @t82))))) % 6.71/6.99 (assume @p1361 (forall @t1161 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1119 @t1118) (tptp.hAPP @t1117 @t1883))))) % 6.71/6.99 (assume @p1362 (forall @t1162 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1110 @t1068) (tptp.hAPP (tptp.hAPP @t1041 @t1883) @t82))))) % 6.71/6.99 (assume @p1363 (forall @t1162 (=> @t1884 (= @t1912 @t1910)))) % 6.71/6.99 (assume @p1364 (forall @t1906 (=> @t1884 (=> @t1905 (=> @t1903 (= @t1910 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP (tptp.hAPP @t1041 @t1900) @t1638) @t82))))))) % 6.71/6.99 (assume @p1365 (forall @t485 (=> @t1887 (= (tptp.hAPP @t1885 @t1914) @t1914)))) % 6.71/6.99 (assume @p1366 (forall @t489 (=> @t1199 (= (tptp.hAPP @t1915 @t1886) @t1066)))) % 6.71/6.99 (assume @p1367 (forall @t485 (=> @t1199 @t1917))) % 6.71/6.99 (assume @p1368 (forall @t1906 (=> @t1919 (=> @t1905 (=> @t1903 (= @t1918 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP (tptp.hAPP @t840 @t1900) @t1638) @t82))))))) % 6.71/6.99 (assume @p1369 (forall @t94 (=> @t1919 (= @t1918 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1920 @t1902) @t82))))) % 6.71/6.99 (assume @p1370 (forall @t94 (=> @t1919 (= @t1918 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t1920 @t85) @t82))))) % 6.71/6.99 (assume @p1371 (forall @t94 (=> @t1919 (= @t1918 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t843 @t1902) @t82))))) % 6.71/6.99 (assume @p1372 (forall @t485 (=> @t1887 (= @t1922 @t1921)))) % 6.71/6.99 (assume @p1373 (forall @t471 (=> @t1199 (= (tptp.hAPP @t1885 @t1261) @t1261)))) % 6.71/6.99 (assume @p1374 (forall (@list @t1900 @t85 @t81 @t31) (=> @t1919 (=> (= @t1883 (tptp.c_Divides_Odiv__class_Omod @t31 @t1900 @t85)) (= @t1923 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t447 @t1900) @t85)))))) % 6.71/6.99 (assume @p1375 (forall @t485 (=> @t1919 (= @t1923 (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.hAPP @t447 @t1883) @t85))))) % 6.71/6.99 (assume @p1376 (forall @t489 (=> @t1887 (= (tptp.hAPP @t1885 @t574) @t1886)))) % 6.71/6.99 (assume @p1377 (forall @t1452 (=> @t1199 (= (tptp.hAPP @t1885 @t1306) @t1306)))) % 6.71/6.99 (assume @p1378 (forall @t1924 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1508 @t85) @t1508))) % 6.71/6.99 (assume @p1379 (forall @t1925 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t81) @t1508))) % 6.71/6.99 (assume @p1380 (forall @t922 (= (tptp.hAPP @t1856 @t1518) @t1518))) % 6.71/6.99 (assume @p1381 (forall @t984 (= @t1930 @t1928))) % 6.71/6.99 (assume @p1382 (forall @t984 (= @t1928 @t1930))) % 6.71/6.99 (assume @p1383 (forall @t1933 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1514 @t1932) @t64) @t193) @t1931))) % 6.71/6.99 (assume @p1384 (forall (@list @t193 @t64 @t30) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1741 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t64 @t193)) @t193) @t1931))) % 6.71/6.99 (assume @p1385 (forall (@list @t193 @t30) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1519 @t1932) @t193) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1519 @t30) @t193)))) % 6.71/6.99 (assume @p1386 (forall @t1937 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1936 @t1935) (tptp.hAPP @t1519 @t1934)))) % 6.71/6.99 (assume @p1387 (forall @t1937 (= @t1939 (tptp.hAPP @t1519 @t1938)))) % 6.71/6.99 (assume @p1388 (forall @t1882 (=> @t1881 (and (=> @t1942 @t1943) (=> (not @t1942) @t1941))))) % 6.71/6.99 (assume @p1389 (forall @t1831 (=> @t1881 (= @t1944 @t1828)))) % 6.71/6.99 (assume @p1390 (forall @t200 (=> @t1848 (=> @t1847 (tptp.c_Nat__Transfer_Ois__nat @t1945))))) % 6.71/6.99 (assume @p1391 (forall @t35 (=> @t1949 (and (=> @t1948 (= @t1947 (tptp.hAPP @t447 @t1946))) (=> (not @t1948) (= @t1947 @t1946)))))) % 6.71/6.99 (assume @p1392 (forall @t489 (=> @t1887 (=> @t1105 @t1950)))) % 6.71/6.99 (assume @p1393 (forall @t174 (=> @t1899 (= (tptp.hBOOL (tptp.hAPP @t1951 @t925)) @t962)))) % 6.71/6.99 (assume @p1394 (forall @t489 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1101 @t1886))))) % 6.71/6.99 (assume @p1395 (forall @t489 (=> @t1887 (not (tptp.hBOOL (tptp.hAPP @t1952 @t960)))))) % 6.71/6.99 (assume @p1396 (forall @t174 (=> @t1899 (= (tptp.hBOOL (tptp.hAPP @t989 @t1898)) @t1953)))) % 6.71/6.99 (assume @p1397 (forall @t489 (=> @t1887 (=> @t1146 @t1950)))) % 6.71/6.99 (assume @p1398 (forall @t485 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1043 @t85) @t960)))) % 6.71/6.99 (assume @p1399 (forall @t647 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1124 @t85) @t960)))) % 6.71/6.99 (assume @p1400 (forall @t485 (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t1885 @t1279)) @t1914))))) % 6.71/6.99 (assume @p1401 (forall @t530 (=> @t1199 (=> (tptp.hBOOL (tptp.hAPP @t1952 @t82)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1913) @t528)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1916) (tptp.hAPP @t1117 @t528)))))))) % 6.71/6.99 (assume @p1402 (forall @t485 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1955 @t1921))))) % 6.71/6.99 (assume @p1403 (forall @t485 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1955 @t1922))))) % 6.71/6.99 (assume @p1404 (forall @t485 (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t1885 @t1954)) @t1922))))) % 6.71/6.99 (assume @p1405 (forall @t1162 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1956 @t85) @t1883)))) % 6.71/6.99 (assume @p1406 (forall @t94 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t1957 @t85) @t1883)))) % 6.71/6.99 (assume @p1407 (forall @t489 (=> @t1884 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t81 @t1261) @t960)))) % 6.71/6.99 (assume @p1408 (forall @t489 (=> @t1887 (tptp.hBOOL (tptp.hAPP @t1958 @t1886))))) % 6.71/6.99 (assume @p1409 (forall @t570 (=> @t1899 (= (tptp.hBOOL (tptp.hAPP @t1951 @t248)) (and @t580 @t573))))) % 6.71/6.99 (assume @p1410 (forall @t485 (=> @t1887 (=> @t92 (=> @t1959 @t1896))))) % 6.71/6.99 (assume @p1411 (forall @t485 (=> @t1887 (=> @t1896 @t1959)))) % 6.71/6.99 (assume @p1412 (forall @t570 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t1898) @t248)) (and @t697 @t700))))) % 6.71/6.99 (assume @p1413 (forall @t164 (= (tptp.hAPP @t1960 @t146) @t890))) % 6.71/6.99 (assume @p1414 (forall @t1964 (=> (and @t1890 @t120) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1962) @t1889)) (not (tptp.hBOOL (tptp.hAPP @t1963 @t1962))))))) % 6.71/6.99 (assume @p1415 (forall @t1969 (=> @t1968 (= (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP (tptp.hAPP @t1313 @t81) @t85)) @t1965) (tptp.hAPP (tptp.hAPP @t1313 @t1967) @t1966))))) % 6.71/6.99 (assume @p1416 (forall @t1973 (=> @t1968 (= (tptp.hAPP @t1970 (tptp.hAPP (tptp.hAPP @t1313 @t85) @t82)) (tptp.hAPP (tptp.hAPP @t1313 @t1972) @t1971))))) % 6.71/6.99 (assume @p1417 (forall @t1969 (=> @t1974 (= (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP (tptp.hAPP @t807 @t81) @t85)) @t1965) (tptp.hAPP (tptp.hAPP @t807 @t1967) @t1966))))) % 6.71/6.99 (assume @p1418 (forall @t1973 (=> @t1974 (= (tptp.hAPP @t1970 (tptp.hAPP (tptp.hAPP @t807 @t85) @t82)) (tptp.hAPP (tptp.hAPP @t807 @t1972) @t1971))))) % 6.71/6.99 (assume @p1419 (forall @t107 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1975 @t1891)) @t1796)))) % 6.71/6.99 (assume @p1420 (forall @t107 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1977 @t1891)) @t1805)))) % 6.71/6.99 (assume @p1421 (forall @t827 (=> @t1025 @t1981))) % 6.71/6.99 (assume @p1422 (forall @t1988 (=> @t1881 (= @t1987 @t1984)))) % 6.71/6.99 (assume @p1423 (forall @t1988 (=> @t1881 (= @t1984 @t1987)))) % 6.71/6.99 (assume @p1424 (forall @t1989 (=> @t1881 (= (tptp.hAPP @t1983 (tptp.hAPP (tptp.hAPP @t1262 @t1982) @t70)) (tptp.hAPP (tptp.hAPP @t1262 @t1987) @t70))))) % 6.71/6.99 (assume @p1425 (forall @t200 (=> @t1672 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t1592 @t1945)))))) % 6.71/6.99 (assume @p1426 (forall @t1990 (=> (tptp.hBOOL (tptp.hAPP @t1592 @t193)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t193 @t208)) @t193))))) % 6.71/6.99 (assume @p1427 (forall @t1993 (=> @t1992 @t1991))) % 6.71/6.99 (assume @p1428 (forall @t1993 (=> @t1995 @t1994))) % 6.71/6.99 (assume @p1429 (forall @t1989 (=> @t1881 (= (tptp.hAPP @t1999 (tptp.hAPP (tptp.hAPP @t1041 @t1982) @t70)) (tptp.hAPP (tptp.hAPP @t1041 @t1998) @t70))))) % 6.71/6.99 (assume @p1430 (forall @t1988 (=> @t1881 (= @t2000 @t1998)))) % 6.71/6.99 (assume @p1431 (forall @t1988 (=> @t1881 (= @t1998 @t2000)))) % 6.71/6.99 (assume @p1432 (forall @t197 (=> (= (tptp.hAPP @t1856 @t2001) @t1538) (= (tptp.hAPP @t1856 @t193) @t1538)))) % 6.71/6.99 (assume @p1433 (forall @t2004 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t289) @t1508) (exists @t2003 (= @t181 (tptp.hAPP (tptp.hAPP @t1525 @t289) @t2002)))))) % 6.71/6.99 (assume @p1434 (forall @t1988 (=> @t1881 (= (tptp.hAPP @t1877 (tptp.hAPP (tptp.hAPP @t1514 @t1411) @t1544)) @t2006)))) % 6.71/6.99 (assume @p1435 (forall @t2011 (=> (not (= @t2010 @t1508)) @t2008))) % 6.71/6.99 (assume @p1436 (forall @t2011 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1830 @t943) @t1508)) @t2008))) % 6.71/6.99 (assume @p1437 (forall @t2014 (=> @t1881 (= @t2013 @t2012)))) % 6.71/6.99 (assume @p1438 (forall @t2014 (=> @t1881 (= @t2012 @t2013)))) % 6.71/6.99 (assume @p1439 (forall @t1831 (=> @t1199 (= (tptp.hAPP @t1885 @t208) (tptp.hAPP (tptp.hAPP @t1041 @t208) (tptp.c_Groups_Osgn__class_Osgn @t31 @t208)))))) % 6.71/6.99 (assume @p1440 (forall @t35 (=> @t1199 (= (tptp.hAPP (tptp.hAPP @t1041 @t1824) @t2015) @t30)))) % 6.71/6.99 (assume @p1441 (forall @t2017 (=> @t1894 (tptp.hBOOL (tptp.hAPP @t2016 @t1747))))) % 6.71/6.99 (assume @p1442 (forall @t69 (=> @t1199 (=> @t1488 (= (tptp.hAPP (tptp.hAPP @t1041 (tptp.hAPP @t1885 @t64)) @t30) (tptp.hAPP @t1885 @t1485)))))) % 6.71/6.99 (assume @p1443 (forall @t485 (=> (tptp.class_Rings_Oordered__ring__abs @t31) (=> (and (or @t1105 @t1103) (or @t1102 @t1104)) @t1917)))) % 6.71/6.99 (assume @p1444 (forall @t1116 (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t1885 (tptp.hAPP @t1364 @t1278))) (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1885 (tptp.hAPP @t843 @t82))) (tptp.hAPP @t1885 (tptp.hAPP @t841 @t528)))))))) % 6.71/6.99 (assume @p1445 (forall @t485 (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t1922) @t1914))))) % 6.71/6.99 (assume @p1446 (forall @t489 (=> @t1887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t447 @t1886)) @t960))))) % 6.71/6.99 (assume @p1447 (forall @t489 (=> @t1887 (=> @t1103 @t2018)))) % 6.71/6.99 (assume @p1448 (forall @t489 (=> (tptp.class_Groups_Oabs__if @t31) (and @t2019 (=> (not @t1151) @t1950))))) % 6.71/6.99 (assume @p1449 (forall @t489 (=> @t1887 @t2019))) % 6.71/6.99 (assume @p1450 (forall @t827 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t1960 @t795)) @t2021)) (not @t2020)))) % 6.71/6.99 (assume @p1451 (forall @t1599 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t1856 @t513)) @t1538)) @t1849))) % 6.71/6.99 (assume @p1452 (forall (@list @t82 @t1544 @t1411 @t31) (=> @t1881 (= (tptp.hAPP @t1983 (tptp.hAPP (tptp.hAPP @t840 @t1982) @t82)) (tptp.hAPP (tptp.hAPP @t840 @t1987) @t82))))) % 6.71/6.99 (assume @p1453 (forall @t1823 (and (=> @t2023 (= @t2022 (tptp.hAPP @t1519 @t209))) (=> (not @t2023) (= @t2022 @t209))))) % 6.71/6.99 (assume @p1454 (forall @t1993 (=> @t1995 @t2024))) % 6.71/6.99 (assume @p1455 (forall @t1993 (=> @t1995 (and @t2024 @t1994)))) % 6.71/6.99 (assume @p1456 (forall @t1937 (=> @t2028 (=> @t2027 @t2025)))) % 6.71/6.99 (assume @p1457 (forall @t1993 (=> @t1992 @t2029))) % 6.71/6.99 (assume @p1458 (forall @t1993 (=> @t1992 (and @t2029 @t1991)))) % 6.71/6.99 (assume @p1459 (forall @t1937 (=> @t2032 (=> @t2030 @t2025)))) % 6.71/6.99 (assume @p1460 (forall @t1853 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t1041 @t2013) @t70) (tptp.hAPP (tptp.hAPP @t1041 @t2012) @t70))))) % 6.71/6.99 (assume @p1461 (forall @t1585 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1856 @t1614)) (tptp.hAPP (tptp.hAPP @t1028 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1856 @t1544))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1856 @t70)))))) % 6.71/6.99 (assume @p1462 (forall @t1988 (=> @t1881 (= @t2006 @t2034)))) % 6.71/6.99 (assume @p1463 (forall @t1937 (and (=> @t2036 (= @t1938 @t1508)) (=> @t2037 (= @t1938 (tptp.hAPP @t2035 @t1934)))))) % 6.71/6.99 (assume @p1464 (forall @t1937 (and (=> @t2036 (= @t1939 @t1508)) (=> @t2037 (= @t1939 (tptp.hAPP (tptp.hAPP @t1514 @t1934) @t85)))))) % 6.71/6.99 (assume @p1465 (forall @t1752 (= (tptp.hAPP @t1860 @t1751) @t1749))) % 6.71/6.99 (assume @p1466 (forall @t402 (= (tptp.hAPP @t1860 @t2039) @t2038))) % 6.71/6.99 (assume @p1467 (forall @t402 (= (tptp.hAPP @t1860 @t1664) @t2038))) % 6.71/6.99 (assume @p1468 (forall @t1937 (=> @t1634 (=> @t2042 (= @t1934 @t2041))))) % 6.71/6.99 (assume @p1469 (forall (@list @t1544 @t82 @t1411 @t31) (=> @t1881 (= (tptp.hAPP @t1983 (tptp.hAPP (tptp.hAPP @t840 @t82) @t1982)) (tptp.hAPP (tptp.hAPP @t1262 @t2034) @t82))))) % 6.71/6.99 (assume @p1470 (forall @t2053 (= (tptp.hBOOL (tptp.hAPP @t60 @t2052)) (and (=> @t2051 @t1533) (=> @t2050 (forall @t2046 (=> @t2049 @t2043))) (=> @t2048 (forall @t2046 (=> @t2045 @t2043))))))) % 6.71/6.99 (assume @p1471 (forall @t2054 (=> @t1875 (=> @t1630 (=> @t1650 (tptp.hBOOL (tptp.hAPP @t1592 @t1874))))))) % 6.71/6.99 (assume @p1472 (forall @t2054 (=> @t1875 (=> @t1630 (=> @t1650 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1874) @t2055))))))) % 6.71/6.99 (assume @p1473 (forall @t1876 (=> @t1875 (=> @t1696 (=> @t1697 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2055) @t1874))))))) % 6.71/6.99 (assume @p1474 (forall @t2059 (and (=> @t2057 (= @t2056 @t2007)) (=> @t2058 (= @t2056 @t2010))))) % 6.71/6.99 (assume @p1475 (forall @t746 (=> @t2064 (and @t2062 (=> @t674 (= @t2060 @t1978)))))) % 6.71/6.99 (assume @p1476 (forall @t746 (=> @t2064 @t2062))) % 6.71/6.99 (assume @p1477 (forall @t746 (=> @t2064 (=> @t351 (= @t1978 @t2065))))) % 6.71/6.99 (assume @p1478 (forall (@list @t151 @t21 @t10) (= (= @t1978 @t154) (exists (@list @t893 @t2066) (and (= @t21 (tptp.hAPP (tptp.hAPP @t594 @t893) @t2066)) (not (tptp.hBOOL (tptp.hAPP @t894 @t2066))) (= (tptp.hAPP @t1960 @t2066) @t151) (=> @t1075 (= @t2066 @t146))))))) % 6.71/6.99 (assume @p1479 (forall @t200 (= (tptp.c_Nitpick_Oint__lcm @t30 @t64) (tptp.hAPP @t1511 (tptp.c_Nitpick_Onat__lcm @t2069 @t2067))))) % 6.71/6.99 (assume @p1480 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2071 @t2070)))) % 6.71/6.99 (assume @p1481 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2072 @t1662)))) % 6.71/6.99 (assume @p1482 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2071 @t751)))) % 6.71/6.99 (assume @p1483 (forall @t157 (tptp.hBOOL (tptp.hAPP @t2071 @t769)))) % 6.71/6.99 (assume @p1484 (forall @t157 (tptp.hBOOL (tptp.hAPP @t2071 @t153)))) % 6.71/6.99 (assume @p1485 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2072 @t2039)))) % 6.71/6.99 (assume @p1486 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2071 @t686)))) % 6.71/6.99 (assume @p1487 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2072 @t1655)))) % 6.71/6.99 (assume @p1488 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2072 @t1664)))) % 6.71/6.99 (assume @p1489 (forall @t402 (tptp.hBOOL (tptp.hAPP @t2071 @t400)))) % 6.71/6.99 (assume @p1490 (forall @t164 (tptp.hBOOL (tptp.hAPP @t2063 @t146)))) % 6.71/6.99 (assume @p1491 (forall @t2074 (=> @t2064 @t2073))) % 6.71/6.99 (assume @p1492 (forall @t2079 (=> @t2078 (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t2076 @t791)))))) % 6.71/6.99 (assume @p1493 (forall @t2081 (=> (or @t2078 @t2080) (tptp.hBOOL (tptp.hAPP @t2063 (tptp.hAPP (tptp.hAPP @t264 @t791) @t9)))))) % 6.71/6.99 (assume @p1494 (forall @t29 (=> @t2064 @t2082))) % 6.71/6.99 (assume @p1495 (forall @t2085 (=> (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t414 @t2083)) @t2084)) (tptp.hBOOL (tptp.hAPP @t2063 (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t2083)))))) % 6.71/6.99 (assume @p1496 (forall @t1596 (= (tptp.hAPP @t1879 @t208) @t208))) % 6.71/6.99 (assume @p1497 (forall @t55 (=> @t2088 @t2087))) % 6.71/6.99 (assume @p1498 (forall @t55 (=> @t2089 @t2064))) % 6.71/6.99 (assume @p1499 (forall @t2096 (=> @t2064 (= @t2095 @t2091)))) % 6.71/6.99 (assume @p1500 (forall @t55 (= (tptp.hBOOL (tptp.hAPP @t2086 @t226)) @t2064))) % 6.71/6.99 (assume @p1501 (forall @t2103 (=> @t2102 (=> @t2101 (tptp.hBOOL (tptp.hAPP @t2100 @t2099)))))) % 6.71/6.99 (assume @p1502 (forall @t2103 (= (tptp.hBOOL (tptp.hAPP @t2107 @t2106)) (and @t2102 @t2101)))) % 6.71/6.99 (assume @p1503 (forall @t164 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2108) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t2108 tptp.tc_HOL_Obool)))) @t2102))) % 6.71/6.99 (assume @p1504 (forall @t197 (= @t2111 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2110 @t176)))) % 6.71/6.99 (assume @p1505 (forall @t197 @t2112)) % 6.71/6.99 (assume @p1506 (forall @t197 (tptp.hBOOL (tptp.hAPP @t2113 @t193)))) % 6.71/6.99 (assume @p1507 (forall @t942 (= (tptp.hAPP (tptp.hAPP @t1028 @t2109) @t208) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1032 @t1030)))) % 6.71/6.99 (assume @p1508 (forall @t957 (= (tptp.hAPP @t1036 @t2109) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1038 @t1037)))) % 6.71/6.99 (assume @p1509 (= (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))) @t1243)) % 6.71/6.99 (assume @p1510 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2117) @t2116)) @t2115))) % 6.71/6.99 (assume @p1511 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2117) @t2116)) @t1605))) % 6.71/6.99 (assume @p1512 (forall @t2120 (= (tptp.hAPP @t2119 @t2118) (tptp.hAPP @t1879 @t1986)))) % 6.71/6.99 (assume @p1513 (forall @t1776 (= (tptp.hBOOL (tptp.hAPP @t2071 @t21)) (tptp.hBOOL (tptp.hAPP @t2072 @t1675))))) % 6.71/6.99 (assume @p1514 (forall @t2120 (= (tptp.hAPP (tptp.hAPP @t1525 @t1880) @t2118) (tptp.hAPP @t1879 @t1997)))) % 6.71/6.99 (assume @p1515 (forall @t1666 (= @t2121 (tptp.hAPP @t1879 @t1568)))) % 6.71/6.99 (assume @p1516 (forall @t676 (= @t2073 @t2064))) % 6.71/6.99 (assume @p1517 (forall @t2103 (=> @t2123 @t2101))) % 6.71/6.99 (assume @p1518 (forall @t1072 (= @t2125 (exists @t237 (forall @t7 (=> @t2124 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t3) @t234)))))))) % 6.71/6.99 (assume @p1519 (forall @t29 (=> @t28 (=> @t2126 @t2064)))) % 6.71/6.99 (assume @p1520 (forall @t241 (=> @t2126 (=> @t28 @t2064)))) % 6.71/6.99 (assume @p1521 (forall @t164 (=> @t2089 @t2102))) % 6.71/6.99 (assume @p1522 (forall @t2081 (= @t2127 (and @t2078 @t2080)))) % 6.71/6.99 (assume @p1523 (forall @t2081 (=> @t2078 (=> @t2080 @t2127)))) % 6.71/6.99 (assume @p1524 (forall @t1072 (= @t2125 (exists @t237 (forall @t7 (=> @t2124 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t3) @t234)))))))) % 6.71/6.99 (assume @p1525 (forall @t241 (=> @t2126 (= @t2082 @t2064)))) % 6.71/6.99 (assume @p1526 (forall @t1752 (= (tptp.hAPP @t2128 (tptp.hAPP @t155 @t261)) @t261))) % 6.71/6.99 (assume @p1527 (not (tptp.hBOOL (tptp.hAPP @t2071 @t964)))) % 6.71/6.99 (assume @p1528 (forall (@list @t51 @t21 @t513 @t2 @t41 @t10) (=> @t2129 @t2064))) % 6.71/6.99 (assume @p1529 (forall @t1776 (=> @t1836 (= (tptp.hBOOL (tptp.hAPP @t2072 @t21)) (tptp.hBOOL (tptp.hAPP @t2071 @t1833)))))) % 6.71/6.99 (assume @p1530 (forall @t1666 (= @t2118 (tptp.hAPP @t1846 @t1544)))) % 6.71/6.99 (assume @p1531 (forall @t197 (and (=> @t2130 (= @t2111 @t890)) (=> (not @t2130) (= @t2111 @t2110))))) % 6.71/6.99 (assume @p1532 (forall @t922 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t193 @t936) @t890))) % 6.71/6.99 (assume @p1533 (forall @t712 (=> @t918 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2109) @t176))))) % 6.71/6.99 (assume @p1534 (forall @t2004 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t181 @t289) @t890) (exists @t2003 (= @t181 (tptp.hAPP (tptp.hAPP @t1028 @t289) @t2002)))))) % 6.71/6.99 (assume @p1535 (forall @t197 @t2133)) % 6.71/6.99 (assume @p1536 (forall @t197 (and @t2112 @t2133))) % 6.71/6.99 (assume @p1537 (forall @t1470 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2134 @t176) @t2109))) % 6.71/6.99 (assume @p1538 (forall @t712 (=> @t206 @t2132))) % 6.71/6.99 (assume @p1539 (forall @t200 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1626 @t1625) (tptp.hAPP @t1511 @t2135)))) % 6.71/6.99 (assume @p1540 (forall @t1937 (= (tptp.hAPP @t1511 @t2138) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2137 @t2136)))) % 6.71/6.99 (assume @p1541 (forall @t402 (= (tptp.hAPP @t2128 @t2070) @t2140))) % 6.71/6.99 (assume @p1542 (forall @t1864 (= @t1862 (tptp.hAPP tptp.c_Int_Onat @t1880)))) % 6.71/6.99 (assume @p1543 (forall @t1666 (= (tptp.hAPP tptp.c_Int_Onat @t2118) @t2141))) % 6.71/6.99 (assume @p1544 (forall (@list @t2 @t20 @t41 @t21 @t10) (=> @t2064 (=> @t2144 @t2142)))) % 6.71/6.99 (assume @p1545 (forall @t1752 (= (tptp.hAPP @t2128 (tptp.hAPP @t152 @t261)) @t752))) % 6.71/6.99 (assume @p1546 (forall @t687 (= (tptp.hBOOL (tptp.hAPP @t2063 @t872)) @t2082))) % 6.71/6.99 (assume @p1547 (forall @t55 @t2147)) % 6.71/6.99 (assume @p1548 (forall @t827 (=> (tptp.hBOOL (tptp.hAPP @t2063 @t795)) (=> @t2020 @t2148)))) % 6.71/6.99 (assume @p1549 (forall @t55 (=> @t2102 (=> (= @t1978 @t2149) (= @t21 @t165))))) % 6.71/6.99 (assume @p1550 (forall @t55 (=> @t2064 (= (tptp.hBOOL (tptp.hAPP @t2063 @t331)) @t2102)))) % 6.71/6.99 (assume @p1551 (forall @t402 (= (tptp.hAPP @t2128 @t686) @t2140))) % 6.71/6.99 (assume @p1552 (forall @t1752 (tptp.hBOOL (tptp.hAPP @t2072 @t1751)))) % 6.71/6.99 (assume @p1553 (forall @t2103 (=> @t2123 (=> (not (= (tptp.hAPP @t1979 @t858) @t936)) @t2102)))) % 6.71/6.99 (assume @p1554 (forall @t712 (=> @t918 (tptp.hBOOL (tptp.hAPP @t2113 @t176))))) % 6.71/6.99 (assume @p1555 (forall @t1470 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t2134) @t176) @t2111))) % 6.71/6.99 (assume @p1556 (forall @t402 (= (tptp.hAPP @t2128 @t751) (tptp.hAPP (tptp.hAPP @t911 @t752) @t227)))) % 6.71/6.99 (assume @p1557 (forall @t2120 (= (tptp.hAPP (tptp.hAPP @t1514 @t1880) @t2118) (tptp.hAPP @t1879 @t2033)))) % 6.71/6.99 (assume @p1558 (forall @t55 (= @t2145 (or @t166 @t2146)))) % 6.71/6.99 (assume @p1559 (forall @t55 (=> @t2150 @t2064))) % 6.71/6.99 (assume @p1560 (forall @t2154 (=> @t2064 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t2152) @t21)) (=> @t2153 (= @t2152 @t21)))))) % 6.71/6.99 (assume @p1561 (forall @t2154 (=> @t2064 (=> (tptp.hBOOL (tptp.hAPP @t27 @t2152)) @t2153)))) % 6.71/6.99 (assume @p1562 (forall @t233 (=> @t2102 (=> @t2156 @t2155)))) % 6.71/6.99 (assume @p1563 (forall @t233 (=> @t2102 (=> @t2155 @t2156)))) % 6.71/6.99 (assume @p1564 (forall @t746 (=> @t2064 (tptp.hBOOL (tptp.hAPP @t2158 @t2157))))) % 6.71/6.99 (assume @p1565 (forall @t241 (=> @t2126 (=> @t28 (tptp.hBOOL (tptp.hAPP @t2158 @t2159)))))) % 6.71/6.99 (assume @p1566 (forall @t241 (=> @t2126 (=> @t28 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t2159) @t1978)) @t22))))) % 6.71/6.99 (assume @p1567 (forall @t2160 (=> @t2064 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1980) @t1978))))) % 6.71/6.99 (assume @p1568 (forall @t2160 (=> @t2064 (= @t1025 @t1981)))) % 6.71/6.99 (assume @p1569 (forall @t2160 (=> @t2064 (=> @t1981 @t1025)))) % 6.71/6.99 (assume @p1570 (forall @t241 (=> @t2126 (=> @t680 @t2161)))) % 6.71/6.99 (assume @p1571 (forall @t402 (= (tptp.hAPP @t2128 @t400) (tptp.hAPP @t2139 @t401)))) % 6.71/6.99 (assume @p1572 (forall @t1776 (= @t2162 (tptp.hAPP @t1860 @t1675)))) % 6.71/6.99 (assume @p1573 (forall (@list @t151 @t21) (=> (tptp.hBOOL (tptp.hAPP @t1684 @t2163)) (= @t21 @t2163)))) % 6.71/6.99 (assume @p1574 (forall @t2054 (=> @t2167 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t1436) @t85)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2166) @t2165)))))) % 6.71/6.99 (assume @p1575 (forall @t2053 (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t115 @t151))) (and (=> @t1075 @t1533) (=> @t2170 (forall @t2046 (=> @t2169 (=> @t2168 @t2043)))))))) % 6.71/6.99 (assume @p1576 (forall (@list @t193 @t208) (=> (tptp.hBOOL (tptp.hAPP @t2171 @t208)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1038) @t208) @t1243)))) % 6.71/6.99 (assume @p1577 (forall @t200 (=> @t1672 (=> @t1671 (= @t2173 @t2172))))) % 6.71/6.99 (assume @p1578 (forall @t200 (=> @t1672 (=> @t1671 (= @t2172 @t2173))))) % 6.71/6.99 (assume @p1579 (forall (@list @t1961 @t181) (= (= @t1562 @t2174) (and (= @t181 (tptp.hAPP tptp.c_Int_Onat @t2174)) (tptp.hBOOL (tptp.hAPP @t1592 @t2174)))))) % 6.71/6.99 (assume @p1580 (forall @t746 (=> @t2064 @t2175))) % 6.71/6.99 (assume @p1581 (forall @t746 (=> @t2064 (and (=> @t351 (= @t2157 @t1978)) @t2175)))) % 6.71/6.99 (assume @p1582 (forall @t55 (= @t2150 (and @t430 @t2064)))) % 6.71/6.99 (assume @p1583 (forall @t164 (=> @t2102 (tptp.hBOOL (tptp.hAPP @t910 @t2149))))) % 6.71/6.99 (assume @p1584 (forall @t29 (=> @t2064 (=> @t2126 (= @t2180 @t2177))))) % 6.71/6.99 (assume @p1585 (forall @t29 (=> @t2064 (=> @t2126 (= @t2177 @t2180))))) % 6.71/6.99 (assume @p1586 (forall @t2187 (=> @t1025 (=> @t2186 (=> @t2185 (=> @t2184 (=> @t2064 (=> @t2142 @t2182)))))))) % 6.71/6.99 (assume @p1587 (forall @t241 (=> @t2126 (=> @t26 (= @t2189 @t2188))))) % 6.71/6.99 (assume @p1588 (forall @t29 (=> (tptp.hBOOL (tptp.hAPP @t2063 @t320)) (= @t2189 (tptp.hAPP @t2061 @t2178))))) % 6.71/6.99 (assume @p1589 (forall @t241 (=> @t2126 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t2188) @t2189))))) % 6.71/6.99 (assume @p1590 (forall @t241 (=> @t2126 (=> @t28 (=> @t2161 @t680))))) % 6.71/6.99 (assume @p1591 (forall @t1776 (=> @t1836 (= (tptp.hAPP @t1860 @t21) (tptp.hAPP @t2128 @t1833))))) % 6.71/6.99 (assume @p1592 (forall @t746 (=> @t2064 (= @t2157 @t2190)))) % 6.71/6.99 (assume @p1593 (forall @t29 (=> @t2064 (=> @t2126 (=> @t399 @t2191))))) % 6.71/6.99 (assume @p1594 (forall @t746 (=> @t2064 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t2060) @t1978))))) % 6.71/6.99 (assume @p1595 (forall @t746 (=> @t2064 (=> @t674 (= @t2157 (tptp.hAPP @t1324 @t1978)))))) % 6.71/6.99 (assume @p1596 (forall @t397 (=> @t1025 (=> @t2186 (=> @t2142 @t2192))))) % 6.71/6.99 (assume @p1597 (forall @t2096 (=> @t2064 (=> @t2142 (= (exists @t881 (and @t1205 (tptp.hBOOL (tptp.hAPP @t1204 @t20)))) @t2192))))) % 6.71/6.99 (assume @p1598 (forall @t746 (=> @t2064 (=> @t351 (= @t2190 @t1978))))) % 6.71/6.99 (assume @p1599 (forall @t746 (=> @t2064 (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2060) @t1978)))))) % 6.71/6.99 (assume @p1600 (forall (@list @t97 @t51 @t21 @t10) (=> @t2064 (=> @t351 (=> @t350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t1960 (tptp.hAPP (tptp.hAPP @t784 @t786) @t2193))) @t1978))))))) % 6.71/6.99 (assume @p1601 (forall @t687 (=> @t2064 (=> @t344 (=> @t613 (= (tptp.hAPP @t1960 @t872) (tptp.hAPP (tptp.hAPP @t911 @t2189) @t1243))))))) % 6.71/6.99 (assume @p1602 (forall @t746 (=> @t2064 (= @t2157 @t2065)))) % 6.71/6.99 (assume @p1603 (forall @t2200 (=> @t2199 (=> @t2064 (=> @t351 (and (=> @t2197 (= @t2196 @t51)) (=> @t2198 (= @t2196 @t2195)))))))) % 6.71/6.99 (assume @p1604 (forall @t2205 (=> @t2204 (=> @t2148 (=> @t798 (= @t2196 @t2203)))))) % 6.71/6.99 (assume @p1605 (forall @t29 (=> @t2064 (=> @t2126 (=> (=> (exists @t7 @t2207) @t2206) @t2191))))) % 6.71/6.99 (assume @p1606 (forall @t2214 (and (=> @t2212 (= @t2211 @t936)) (=> @t2213 (= @t2211 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1538 @t2209))))))) % 6.71/6.99 (assume @p1607 (forall @t2220 (=> @t2199 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t2 @t2218) @t2217) @t2216))))))) % 6.71/6.99 (assume @p1608 (forall @t2220 (=> @t2199 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t2221)))))))) % 6.71/6.99 (assume @p1609 (not (tptp.hBOOL (tptp.hAPP @t2072 (tptp.c_Orderings_Otop__class_Otop @t1589))))) % 6.71/6.99 (assume @p1610 (forall (@list @t60 @t20 @t21 @t41 @t10) (= (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 @t2225)) @t168)) (forall @t7 (=> @t823 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 @t2090)) (tptp.hBOOL (tptp.hAPP @t60 @t408))))))))) % 6.71/6.99 (assume @p1611 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1508)))) % 6.71/6.99 (assume @p1612 (forall @t180 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1523))))) % 6.71/6.99 (assume @p1613 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1538)))) % 6.71/6.99 (assume @p1614 (forall (@list @t791 @t1 @t513 @t2 @t41 @t10) (=> @t2204 (= (tptp.hAPP @t791 @t825) @t513)))) % 6.71/6.99 (assume @p1615 (forall @t1855 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t51))) @t1771))) % 6.71/6.99 (assume @p1616 (forall (@list @t2226) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2226)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2226) @t1508))))) % 6.71/6.99 (assume @p1617 (forall @t1541 (=> @t2227 @t1786))) % 6.71/6.99 (assume @p1618 (forall @t1541 (=> (not @t2227) @t1799))) % 6.71/6.99 (assume @p1619 (forall @t1864 (=> @t2229 @t2228))) % 6.71/6.99 (assume @p1620 (forall @t180 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1520)))) % 6.71/6.99 (assume @p1621 (forall @t2230 (=> @t2199 (= (tptp.hAPP @t791 @t745) @t51)))) % 6.71/6.99 (assume @p1622 (forall @t2237 (= (= @t2236 @t2235) (and (=> @t2234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2232) @t1508))) (=> (not @t2234) (and (=> @t2233 (= @t2174 @t1508)) (=> (not @t2233) (= @t1961 @t2231)))))))) % 6.71/6.99 (assume @p1623 (forall @t2243 (and (=> @t2229 (= @t2241 @t2239)) (=> @t2242 (and (=> @t2212 (= @t2241 (tptp.hAPP @t2240 @t208))) (=> @t2213 (= @t2241 (tptp.hAPP (tptp.hAPP @t1248 @t2238) @t208)))))))) % 6.71/6.99 (assume @p1624 (forall @t1864 (and (=> @t2229 (= @t2244 @t1508)) (=> @t2242 (= @t2244 @t1880))))) % 6.71/6.99 (assume @p1625 (forall @t2205 (=> @t2204 (=> @t2148 (=> (not @t798) @t2247))))) % 6.71/6.99 (assume @p1626 (forall @t2249 (=> @t2204 (=> @t2148 (=> @t2142 (= (tptp.hAPP (tptp.hAPP @t2 @t2248) (tptp.hAPP @t791 @t864)) @t2216)))))) % 6.71/6.99 (assume @p1627 (forall @t1882 (=> @t1881 (and (=> @t2229 @t1941) (=> @t2242 @t1943))))) % 6.71/6.99 (assume @p1628 (forall @t2251 (and (=> @t2229 (= @t2250 @t890)) (=> @t2242 (and (=> @t2212 (= @t2250 @t1862)) (=> @t2213 (= @t2250 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1880 @t2209))))))))) % 6.71/6.99 (assume @p1629 (forall @t2200 (=> @t2199 (=> @t2064 (=> @t674 @t2254))))) % 6.71/6.99 (assume @p1630 (forall @t2200 (=> @t2199 (=> @t2064 (and (=> @t2197 (= @t2253 @t51)) (=> @t2198 (= @t2253 @t2195))))))) % 6.71/6.99 (assume @p1631 (forall @t2205 (=> @t2204 (=> @t2148 (= @t2246 @t2203))))) % 6.71/6.99 (assume @p1632 (forall @t2249 (=> @t2204 (=> @t2148 (=> @t2142 (=> (= @t864 @t825) @t2255)))))) % 6.71/6.99 (assume @p1633 (forall @t2258 (and (=> @t2229 (= @t2257 @t1325)) (=> @t2242 (= @t2257 (tptp.hAPP (tptp.hAPP @t1248 @t2256) @t176)))))) % 6.71/6.99 (assume @p1634 (forall @t1864 (and (=> @t2229 (= @t2259 @t1243)) (=> @t2242 (= @t2259 @t2256))))) % 6.71/6.99 (assume @p1635 (forall @t55 (=> @t2087 (=> (forall (@list @t2260) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t2260) @t21)) (tptp.hBOOL (tptp.hAPP @t2063 @t2260)))) @t2088)))) % 6.71/6.99 (assume @p1636 (forall @t2096 (and (=> @t2263 @t2264) (=> (not @t2263) (= @t2262 @t890))))) % 6.71/6.99 (assume @p1637 (forall @t2267 (=> @t2199 (=> @t2064 (=> @t430 (=> (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2266) @t2265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2196) @t21)))))))) % 6.71/6.99 (assume @p1638 (forall @t2278 (=> @t2277 (=> @t2064 (=> @t2126 (=> @t399 (= @t2276 @t2275))))))) % 6.71/6.99 (assume @p1639 (forall (@list @t513 @t1 @t2 @t41 @t10) (= (tptp.hAPP @t2280 @t825) @t513))) % 6.71/6.99 (assume @p1640 (forall (@list @t21 @t791 @t1 @t513 @t2 @t41 @t10) (=> @t2204 (=> @t2148 (= @t2196 @t2281))))) % 6.71/6.99 (assume @p1641 (forall @t1596 (= @t2282 (tptp.hAPP @t1659 @t1538)))) % 6.71/6.99 (assume @p1642 (forall (@list @t513 @t1 @t173 @t21 @t10 @t41) (=> @t2286 (=> @t2064 (=> @t432 (= (tptp.hAPP @t2283 @t675) (tptp.hAPP (tptp.hAPP @t2269 @t2285) @t2284))))))) % 6.71/6.99 (assume @p1643 (forall @t2288 (=> @t2287 @t2142))) % 6.71/6.99 (assume @p1644 (forall @t2288 (=> @t2287 @t2064))) % 6.71/6.99 (assume @p1645 (forall @t2096 (=> @t2064 (=> @t2142 @t2287)))) % 6.71/6.99 (assume @p1646 (forall @t2288 (= @t2287 @t2263))) % 6.71/6.99 (assume @p1647 (forall @t1831 (=> @t1881 (= (tptp.hAPP @t1877 @t2282) (tptp.hAPP @t1263 @t1944))))) % 6.71/6.99 (assume @p1648 (forall @t2096 (=> @t2064 (=> @t2142 @t2264)))) % 6.71/6.99 (assume @p1649 (forall @t2278 (=> @t2277 (=> @t2064 (=> @t2126 (= @t2275 (tptp.hAPP (tptp.hAPP @t2269 @t2276) (tptp.hAPP @t2272 @t320)))))))) % 6.71/6.99 (assume @p1650 (forall @t2103 (= (tptp.c_Sum__Type_OPlus @t10 @t41 @t165 @t858) @t2106))) % 6.71/6.99 (assume @p1651 (forall @t2288 (= (= @t2261 (tptp.c_Orderings_Obot__class_Obot @t2105)) (and @t166 @t2289)))) % 6.71/6.99 (assume @p1652 (forall @t2299 (=> @t2277 (=> @t2298 (=> @t2297 (=> @t2296 (= (tptp.hAPP @t2291 @t2293) (tptp.hAPP (tptp.hAPP @t2269 @t2292) (tptp.hAPP @t2291 @t2290))))))))) % 6.71/6.99 (assume @p1653 (forall (@list @t60 @t21 @t10) (=> @t2064 (=> (tptp.hBOOL (tptp.hAPP @t60 @t21)) (=> (forall @t1238 (=> (tptp.hBOOL (tptp.hAPP @t2063 @t1211)) (=> @t1233 (=> (tptp.hBOOL (tptp.hAPP @t60 @t1211)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t784 @t1211) (tptp.hAPP @t1235 @t146)))))))) @t2300))))) % 6.71/6.99 (assume @p1654 (forall @t2220 (=> @t2301 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t2221))))))) % 6.71/6.99 (assume @p1655 (forall (@list @t60 @t21 @t791 @t10) (=> @t2078 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t791) @t21)) (=> @t2300 (=> (forall (@list @t1231 @t2303) (=> @t2306 (=> @t2305 (=> (not (tptp.hBOOL (tptp.hAPP @t1232 @t2303))) (=> @t2304 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1235 @t2303)))))))) @t2302)))))) % 6.71/6.99 (assume @p1656 (forall @t2230 (=> @t2301 @t2307))) % 6.71/6.99 (assume @p1657 (forall @t2200 (=> @t2301 (=> @t2064 (=> @t351 (= @t2252 @t2196)))))) % 6.71/6.99 (assume @p1658 (forall @t2200 (=> @t2301 (=> @t2064 @t2254)))) % 6.71/6.99 (assume @p1659 (forall @t2220 (=> @t2301 (=> @t2064 (=> @t2222 (=> @t26 @t2308)))))) % 6.71/6.99 (assume @p1660 (forall @t1924 (=> @t1995 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2310 @t85) @t2309)))) % 6.71/6.99 (assume @p1661 (forall @t2315 (=> @t2050 (= @t2314 (forall @t2046 (=> @t2049 @t2311)))))) % 6.71/6.99 (assume @p1662 (forall @t2315 (=> @t2048 (= @t2314 (forall @t2046 (=> @t2045 @t2311)))))) % 6.71/6.99 (assume @p1663 (forall (@list @t151 @t2 @t115) (=> (forall @t905 (=> @t2323 @t2322)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2320) @t151)) (=> @t2319 (exists @t905 (and @t2318 @t2317))))))) % 6.71/6.99 (assume @p1664 (forall @t29 (=> @t1022 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t2326)))))))) % 6.71/6.99 (assume @p1665 (forall @t1925 (= (tptp.hAPP @t2327 @t2310) @t1936))) % 6.71/6.99 (assume @p1666 (forall @t1924 (= (tptp.hAPP (tptp.hAPP @t2312 @t1508) @t85) @t1508))) % 6.71/6.99 (assume @p1667 (tptp.hBOOL (tptp.hAPP @t2328 tptp.c_Int_OMin))) % 6.71/6.99 (assume @p1668 (not (tptp.hBOOL (tptp.hAPP @t2329 tptp.c_Int_OMin)))) % 6.71/6.99 (assume @p1669 (forall @t1937 (= @t2332 @t2331))) % 6.71/6.99 (assume @p1670 (forall @t1937 (= (tptp.hAPP @t2330 @t1935) @t2333))) % 6.71/6.99 (assume @p1671 (forall @t489 (=> @t1884 (= (tptp.hAPP @t2335 @t960) @t960)))) % 6.71/6.99 (assume @p1672 (forall @t489 (=> @t1884 (= (tptp.hAPP (tptp.hAPP @t2334 @t960) @t81) @t960)))) % 6.71/6.99 (assume @p1673 (forall @t489 (=> @t1884 (= (tptp.hAPP @t2335 @t1261) @t81)))) % 6.71/6.99 (assume @p1674 (forall @t200 (=> @t1848 (=> @t1847 (tptp.c_Nat__Transfer_Ois__nat @t2337))))) % 6.71/6.99 (assume @p1675 (forall @t1924 (=> @t1995 (= (tptp.hAPP (tptp.hAPP @t2312 @t2310) @t85) @t2310)))) % 6.71/6.99 (assume @p1676 (forall @t200 (=> @t1672 (=> @t1671 (tptp.hBOOL (tptp.hAPP @t1592 @t2337)))))) % 6.71/6.99 (assume @p1677 (forall @t2344 (=> @t2343 (= @t2341 (tptp.hBOOL (tptp.hAPP @t2338 @t1508)))))) % 6.71/6.99 (assume @p1678 (forall @t2344 (=> @t2346 (= @t2341 (tptp.hBOOL (tptp.hAPP @t1530 @t173)))))) % 6.71/6.99 (assume @p1679 (forall @t1937 (=> @t2347 (=> @t1995 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2333) @t1508)))))) % 6.71/6.99 (assume @p1680 (forall @t1925 (=> @t2349 (= (tptp.hAPP @t2327 @t81) @t1538)))) % 6.71/6.99 (assume @p1681 (forall @t1925 (and (= (tptp.hAPP @t2327 @t1508) @t1508) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t1508) @t81)))) % 6.71/6.99 (assume @p1682 (forall @t1937 (= (tptp.hAPP (tptp.hAPP @t2312 @t1934) @t85) @t1508))) % 6.71/6.99 (assume @p1683 (tptp.hBOOL (tptp.hAPP @t2329 @t1508))) % 6.71/6.99 (assume @p1684 (forall @t984 (= (tptp.hAPP (tptp.hAPP @t2312 @t2041) @t82) (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t2327 @t82)) @t2351)) (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP (tptp.hAPP @t1549 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t82)) @t1926)) @t82))))) % 6.71/6.99 (assume @p1685 (= tptp.c_Int_OMin @t1819)) % 6.71/6.99 (assume @p1686 (forall @t1596 (= (tptp.hAPP (tptp.hAPP @t1525 tptp.c_Int_OMin) @t208) @t1830))) % 6.71/6.99 (assume @p1687 (forall @t1161 (=> @t1884 @t2356))) % 6.71/6.99 (assume @p1688 (forall @t1161 (=> @t1884 (=> @t2355 (= (tptp.hAPP (tptp.hAPP @t2334 @t1110) @t1068) @t2352))))) % 6.71/6.99 (assume @p1689 (forall @t647 (=> @t1884 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t2334 @t1124) @t85) @t81))))) % 6.71/6.99 (assume @p1690 (forall @t647 (=> @t1884 (=> @t1046 (= (tptp.hAPP @t2357 @t85) @t81))))) % 6.71/6.99 (assume @p1691 (forall @t1161 (=> @t1884 (and (=> @t2354 (= @t2353 @t960)) @t2356)))) % 6.71/6.99 (assume @p1692 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2310))) % 6.71/6.99 (assume @p1693 (forall @t489 (=> @t1884 (=> @t1047 (= (tptp.hAPP @t2335 @t81) @t1261))))) % 6.71/6.99 (assume @p1694 (forall @t485 (=> @t1884 (= (tptp.hAPP (tptp.hAPP @t2334 @t1883) @t85) @t960)))) % 6.71/6.99 (assume @p1695 (forall @t1937 (=> @t1634 (=> @t2042 (= @t2333 @t2310))))) % 6.71/6.99 (assume @p1696 (forall (@list @t173 @t2 @t10 @t1) (=> (= @t1 @t2358) (= (tptp.hAPP @t1 @t658) @t173)))) % 6.71/6.99 (assume @p1697 (forall (@list @t173 @t2 @t10) (= (tptp.hAPP @t2358 @t658) @t173))) % 6.71/6.99 (assume @p1698 (forall @t1596 (= (tptp.hAPP @t2359 tptp.c_Int_OMin) @t2282))) % 6.71/6.99 (assume @p1699 (forall @t2267 (=> @t2199 @t2361))) % 6.71/6.99 (assume @p1700 (forall @t2364 (=> @t2363 (=> @t1992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2362) @t2333)))))) % 6.71/6.99 (assume @p1701 (forall @t2364 (=> @t2363 (=> @t1995 (tptp.hBOOL (tptp.hAPP @t2365 @t2362)))))) % 6.71/6.99 (assume @p1702 (forall @t1937 (=> @t2032 (=> @t2030 @t2366)))) % 6.71/6.99 (assume @p1703 (forall @t2368 (=> @t2347 (=> @t1639 (=> @t1691 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2367) @t2333))))))) % 6.71/6.99 (assume @p1704 (forall @t1937 (=> @t2032 (=> @t1995 @t2369)))) % 6.71/6.99 (assume @p1705 (forall @t2344 (=> @t2346 (= @t2370 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t173) @t1508)))))) % 6.71/6.99 (assume @p1706 (forall @t1937 (=> @t2028 (=> @t2027 @t2366)))) % 6.71/6.99 (assume @p1707 (forall @t1937 (=> @t2028 (=> @t1992 @t2369)))) % 6.71/6.99 (assume @p1708 (forall @t2368 (=> @t2028 (=> @t1639 (=> @t1691 (tptp.hBOOL (tptp.hAPP @t2365 @t2367))))))) % 6.71/6.99 (assume @p1709 (forall @t2373 (=> @t2372 (= (tptp.hBOOL (tptp.hAPP @t1530 @t2340)) (and (tptp.hBOOL (tptp.hAPP @t2371 @t173)) @t2343))))) % 6.71/6.99 (assume @p1710 (forall (@list @t220 @t151) (=> @t2050 (= (tptp.hBOOL (tptp.hAPP @t1530 @t2374)) (tptp.hBOOL (tptp.hAPP @t2114 @t220)))))) % 6.71/6.99 (assume @p1711 (forall @t2344 (=> @t2343 (= @t2370 @t2372)))) % 6.71/6.99 (assume @p1712 (forall (@list @t151 @t220) (= (= @t2374 @t1508) (or @t2051 (and (tptp.hBOOL (tptp.hAPP @t1592 @t220)) (tptp.hBOOL (tptp.hAPP @t1808 @t151))) (and @t1782 (tptp.hBOOL (tptp.hAPP @t1604 @t220))))))) % 6.71/6.99 (assume @p1713 (forall (@list @t208 @t30) (=> (tptp.hBOOL (tptp.hAPP @t1530 @t30)) (=> (tptp.hBOOL (tptp.hAPP @t1818 @t208)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.hAPP @t2336 @t208)) @t30)))))) % 6.71/6.99 (assume @p1714 (forall @t2375 (=> @t1875 (= (tptp.hAPP @t2327 @t2055) (tptp.hAPP (tptp.hAPP @t2312 @t2333) @t82))))) % 6.71/6.99 (assume @p1715 (forall @t1854 (=> @t1881 (= (tptp.hAPP @t2378 @t2377) @t2376)))) % 6.71/6.99 (assume @p1716 (forall @t1854 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t1041 @t2377) @t70) @t2376)))) % 6.71/6.99 (assume @p1717 (forall @t471 (=> @t1881 (= @t1456 @t2377)))) % 6.71/6.99 (assume @p1718 (forall @t471 (=> @t1881 (= @t2377 @t1456)))) % 6.71/6.99 (assume @p1719 (forall @t1937 (= @t81 @t2379))) % 6.71/6.99 (assume @p1720 (forall @t984 (= (tptp.hAPP (tptp.hAPP @t2312 @t1929) @t82) (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1631 @t2351)) (tptp.hAPP (tptp.hAPP @t2312 @t1927) @t82))))) % 6.71/6.99 (assume @p1721 (forall (@list @t208 @t81 @t85) (= (tptp.hAPP (tptp.hAPP @t1549 @t2379) @t208) @t2380))) % 6.71/6.99 (assume @p1722 (forall (@list @t208 @t85 @t81) (= (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t1525 @t2333) @t85)) @t1934)) @t208) @t2380))) % 6.71/6.99 (assume @p1723 (forall @t471 (=> @t1949 (= (tptp.hAPP @t1885 @t2377) @t1261)))) % 6.71/6.99 (assume @p1724 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t1525 @t176) @t2383) (tptp.hAPP @t2382 @t2381)))) % 6.71/6.99 (assume @p1725 (forall @t197 (= @t2381 (tptp.hAPP @t2382 (tptp.hAPP (tptp.hAPP @t1525 @t2383) @t176))))) % 6.71/6.99 (assume @p1726 (forall @t1925 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t2310) @t1508))) % 6.71/6.99 (assume @p1727 (forall @t187 (= @t1540 (or @t1539 (and (= @t181 @t2310) (= @t115 @t2310)))))) % 6.71/6.99 (assume @p1728 (forall @t197 (=> (= @t2001 @t1538) (or (= @t193 @t1538) (= @t193 @t2310))))) % 6.71/6.99 (assume @p1729 (forall @t471 (=> @t1881 (= (tptp.hAPP @t1827 @t2310) @t2377)))) % 6.71/6.99 (assume @p1730 (forall @t89 (=> @t1884 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t2334 @t1957) @t85) @t2384))))) % 6.71/6.99 (assume @p1731 (forall @t89 (=> @t1884 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t2334 @t1956) @t85) @t2384))))) % 6.71/6.99 (assume @p1732 (forall @t647 (=> @t1884 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t2334 @t1279) @t85) @t2385))))) % 6.71/6.99 (assume @p1733 (forall @t647 (=> @t1884 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t2334 @t1310) @t85) @t2385))))) % 6.71/6.99 (assume @p1734 (forall @t485 (=> @t1884 (= (tptp.hAPP (tptp.hAPP @t1262 @t1883) @t2386) @t81)))) % 6.71/6.99 (assume @p1735 (forall @t647 (=> @t1884 (= @t2387 @t81)))) % 6.71/6.99 (assume @p1736 (forall @t485 (=> @t1884 (= @t2388 @t81)))) % 6.71/6.99 (assume @p1737 (forall @t89 (=> @t1884 (= (tptp.hAPP (tptp.hAPP @t1262 @t2387) @t82) @t1275)))) % 6.71/6.99 (assume @p1738 (forall @t94 (=> @t1884 (= (tptp.hAPP (tptp.hAPP @t1262 @t2388) @t82) @t1275)))) % 6.71/6.99 (assume @p1739 (forall @t746 (=> @t2390 (=> @t430 (=> @t2064 @t2389))))) % 6.71/6.99 (assume @p1740 (forall @t29 (=> @t2390 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t2326))))))) % 6.71/6.99 (assume @p1741 (forall (@list @t2391 @t64 @t1866 @t1867) (=> (= @t1867 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1873 @t64)) @t2391)) (=> (and (=> @t1870 (and (tptp.hBOOL (tptp.hAPP @t1592 @t2391)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2391) @t1866)))) (=> @t1871 (and (tptp.hBOOL (tptp.hAPP @t1869 @t2391)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2391) @t1508))))) (=> @t1868 (= (tptp.hAPP (tptp.hAPP @t2312 @t1867) @t1866) @t64)))))) % 6.71/6.99 (assume @p1742 (forall @t2053 (= (tptp.hBOOL @t2313) (and (=> @t2051 @t1509) (=> @t2050 (forall @t905 (=> (exists @t995 @t2049) @t900))) (=> @t2048 (forall @t905 (=> (exists @t995 @t2045) @t900))))))) % 6.71/6.99 (assume @p1743 (forall @t2375 (=> @t1875 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t2055) (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1651 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2333 @t82))) @t1934))))) % 6.71/6.99 (assume @p1744 (forall @t1993 (=> @t2394 (and (=> @t2036 (= @t2331 @t2392)) (=> @t2037 (= @t2331 @t2393)))))) % 6.71/6.99 (assume @p1745 (forall @t1993 (=> @t2394 (and (=> @t2036 (= @t2332 @t2392)) (=> @t2037 (= @t2332 @t2393)))))) % 6.71/6.99 (assume @p1746 (forall @t746 (=> @t1022 (=> @t430 (=> @t2064 (=> @t674 @t2389)))))) % 6.71/6.99 (assume @p1747 (forall @t2059 (and (=> @t2057 (= @t2396 @t2397)) (=> @t2058 (= @t2396 (tptp.hAPP @t1519 (tptp.hAPP @t2395 @t2009))))))) % 6.71/6.99 (assume @p1748 (forall @t746 (=> @t460 (=> @t2064 (=> @t430 (= (tptp.hBOOL (tptp.hAPP @t100 @t2400)) @t2399)))))) % 6.71/6.99 (assume @p1749 (forall @t2074 (=> @t460 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2400) @t173))))))) % 6.71/6.99 (assume @p1750 (forall @t55 (=> @t1022 (=> @t2064 (=> @t430 (=> (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2401) @t2265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2325) @t21)))))))) % 6.71/6.99 (assume @p1751 (forall @t1990 (=> @t917 (=> @t1617 (= (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2403 @t193)) @t208) (tptp.hAPP @t2403 (tptp.hAPP @t914 @t936))))))) % 6.71/6.99 (assume @p1752 (forall @t2214 (= (tptp.hAPP (tptp.hAPP @t2405 @t936) @t2210) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2404 @t2209))))) % 6.71/6.99 (assume @p1753 (forall (@list @t176 @t70 @t31) (=> @t1507 (= (tptp.hAPP @t1827 @t2407) (tptp.hAPP (tptp.hAPP @t2406 @t1851) @t176))))) % 6.71/6.99 (assume @p1754 (forall (@list @t1628 @t64 @t30 @t31) (=> @t1206 (= (tptp.hAPP (tptp.hAPP @t2406 @t1361) @t1628) (tptp.hAPP @t2411 (tptp.hAPP @t2408 @t1628)))))) % 6.71/6.99 (assume @p1755 (forall @t197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t2413) @t193)))) % 6.71/6.99 (assume @p1756 (forall @t942 (=> @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t2412 @t208)) (tptp.hAPP @t2414 @t208)))))) % 6.71/6.99 (assume @p1757 (forall @t984 (= (tptp.hAPP @t2415 @t2165) (tptp.hAPP (tptp.hAPP @t2405 @t2416) @t82)))) % 6.71/6.99 (assume @p1758 (forall @t2420 (=> @t1206 (= (tptp.hAPP (tptp.hAPP @t2406 @t2419) @t1628) (tptp.hAPP @t2409 (tptp.hAPP @t2418 @t1628)))))) % 6.71/6.99 (assume @p1759 (forall @t1303 (= (tptp.hAPP (tptp.hAPP @t2402 @t2422) @t70) (tptp.hAPP @t2421 (tptp.hAPP (tptp.hAPP @t1028 @t64) @t70))))) % 6.71/6.99 (assume @p1760 (forall @t35 (=> @t1206 (= (tptp.hAPP @t2409 @t1243) @t30)))) % 6.71/6.99 (assume @p1761 (forall @t1933 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2402 @t1932) @t64) @t193) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2422 @t193)))) % 6.71/6.99 (assume @p1762 (forall @t2424 (=> @t1848 (tptp.c_Nat__Transfer_Ois__nat @t2423)))) % 6.71/6.99 (assume @p1763 (forall @t922 (= (tptp.hAPP @t2412 @t936) @t193))) % 6.71/6.99 (assume @p1764 (forall @t197 @t2425)) % 6.71/6.99 (assume @p1765 (forall @t957 (and (=> @t2428 (= @t2426 @t890)) (=> (not @t2428) @t2427)))) % 6.71/6.99 (assume @p1766 (forall @t2431 (=> @t1206 (= @t2430 @t2429)))) % 6.71/6.99 (assume @p1767 (forall @t2431 (=> @t1206 (= @t2429 @t2430)))) % 6.71/6.99 (assume @p1768 (forall @t2431 (=> @t1206 (= (tptp.hAPP @t2411 @t30) @t2430)))) % 6.71/6.99 (assume @p1769 (forall @t35 (=> @t1206 (= (tptp.hAPP @t2409 @t890) @t1261)))) % 6.71/6.99 (assume @p1770 (forall @t2420 (=> @t1206 (= (tptp.hAPP (tptp.hAPP @t1041 @t2419) @t2410) (tptp.hAPP @t2409 (tptp.hAPP (tptp.hAPP @t1248 @t2417) @t1628)))))) % 6.71/6.99 (assume @p1771 (forall @t2424 (=> @t1672 (tptp.hBOOL (tptp.hAPP @t1592 @t2423))))) % 6.71/6.99 (assume @p1772 (forall @t984 (= (tptp.hAPP (tptp.hAPP @t2405 @t2434) @t82) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2415 @t82)) @t2433)) (tptp.hAPP (tptp.hAPP @t2405 (tptp.hAPP (tptp.hAPP @t1248 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t82)) @t2432)) @t82))))) % 6.71/6.99 (assume @p1773 (forall @t1937 (= (tptp.hAPP @t1511 @t2416) (tptp.hAPP (tptp.hAPP @t2312 @t2137) @t2136)))) % 6.71/6.99 (assume @p1774 (forall @t200 (= (tptp.hAPP (tptp.hAPP @t2312 @t1626) @t1625) (tptp.hAPP @t1511 (tptp.hAPP (tptp.hAPP @t2405 @t30) @t64))))) % 6.71/6.99 (assume @p1775 (forall @t1303 (= (tptp.hAPP @t2421 @t1302) (tptp.hAPP (tptp.hAPP @t1525 @t2422) (tptp.hAPP @t2421 @t70))))) % 6.71/6.99 (assume @p1776 (forall @t2438 (=> @t1780 (=> @t1748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2437) @t1747)))))) % 6.71/6.99 (assume @p1777 (forall @t942 (=> @t917 (=> @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t2439 @t176)) (tptp.hAPP @t2439 @t193))))))) % 6.71/6.99 (assume @p1778 (forall @t957 (=> @t1174 @t2427))) % 6.71/6.99 (assume @p1779 (forall @t712 (=> @t918 (= (tptp.hAPP (tptp.hAPP @t2405 @t1194) @t176) @t193)))) % 6.71/6.99 (assume @p1780 (forall @t712 (=> @t918 (= (tptp.hAPP (tptp.hAPP @t2405 @t1190) @t176) @t193)))) % 6.71/6.99 (assume @p1781 (forall @t712 (=> @t2440 (=> @t917 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2413) @t193)))))) % 6.71/6.99 (assume @p1782 (forall @t984 (= (tptp.hAPP (tptp.hAPP @t2405 @t2442) @t82) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2441 @t2433)) (tptp.hAPP (tptp.hAPP @t2405 (tptp.hAPP @t2441 @t2432)) @t82))))) % 6.71/6.99 (assume @p1783 (forall @t984 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t81 @t2165) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2164 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2416 @t82))) @t2138)))) % 6.71/6.99 (assume @p1784 (forall @t197 (= @t2109 (tptp.hAPP @t914 @t2443)))) % 6.71/6.99 (assume @p1785 (forall @t712 (= (tptp.hAPP @t1029 @t2413) @t2444))) % 6.71/6.99 (assume @p1786 (forall @t197 (= @t2443 @t2444))) % 6.71/6.99 (assume @p1787 (forall @t2424 (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP (tptp.hAPP @t2402 @t2068) @t176))))) % 6.71/6.99 (assume @p1788 (forall @t35 (=> @t477 @t488))) % 6.71/6.99 (assume @p1789 (forall @t35 (=> @t477 @t504))) % 6.71/6.99 (assume @p1790 (forall @t712 (=> @t918 (and @t2425 @t2447)))) % 6.71/6.99 (assume @p1791 (forall @t712 (=> @t918 @t2447))) % 6.71/6.99 (assume @p1792 (forall @t2053 (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t2405 @t115) @t151))) (and (=> @t1075 @t1494) (=> @t2170 (forall @t2046 (=> @t2169 (=> @t2168 @t900)))))))) % 6.71/6.99 (assume @p1793 (forall @t200 (=> @t1672 (=> @t1671 (= @t2449 @t2448))))) % 6.71/6.99 (assume @p1794 (forall @t200 (=> @t1672 (= @t2448 @t2449)))) % 6.71/6.99 (assume @p1795 (forall @t1452 (=> @t1949 (= (tptp.hAPP @t1885 (tptp.hAPP @t2450 @t176)) @t1261)))) % 6.71/6.99 (assume @p1796 (forall @t2451 (= (tptp.hBOOL (tptp.hAPP @t1530 (tptp.hAPP (tptp.hAPP @t2402 (tptp.hAPP @t1856 @t51)) @t115))) (or (not (= @t51 @t1508)) @t971)))) % 6.71/6.99 (assume @p1797 (forall @t712 (=> @t918 (=> @t206 @t2446)))) % 6.71/6.99 (assume @p1798 (forall (@list @t181 @t2453 @t115) (=> @t970 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t1077 @t2453)) @t181)) (tptp.hBOOL (tptp.hAPP @t719 (tptp.hAPP @t1077 (tptp.hAPP tptp.c_Nat_OSuc @t2453))))) (= @t2453 @t2452))))) % 6.71/6.99 (assume @p1799 (forall (@list @t115 @t181 @t60) (= (tptp.hBOOL (tptp.hAPP @t60 @t2452)) (or (and @t971 @t1494) (exists @t2003 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t1077 @t2002)) @t181)) (tptp.hBOOL (tptp.hAPP @t719 (tptp.hAPP @t1077 (tptp.hAPP tptp.c_Nat_OSuc @t2002)))) (tptp.hBOOL (tptp.hAPP @t60 @t2002)))))))) % 6.71/6.99 (assume @p1800 (forall @t2251 (and (=> @t2229 (= @t2455 @t890)) (=> @t2242 (= @t2455 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2454 @t2209))))))) % 6.71/6.99 (assume @p1801 (forall @t2462 (=> @t1327 (=> @t646 (=> @t1105 (=> @t918 @t2461)))))) % 6.71/6.99 (assume @p1802 (forall @t2464 (=> @t1327 (=> @t2463 (=> @t918 (tptp.hBOOL (tptp.hAPP @t1448 @t2459))))))) % 6.71/6.99 (assume @p1803 (forall @t2470 (=> @t1260 (=> @t2469 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2467) @t2466)) @t1690))))) % 6.71/6.99 (assume @p1804 (forall @t2472 (=> @t1327 (=> @t2463 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2471) @t2459)) @t196))))) % 6.71/6.99 (assume @p1805 (forall @t2476 (=> @t1327 (=> @t2475 (=> @t1105 (=> (tptp.hBOOL (tptp.hAPP @t90 @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2474) @t2459)))))))) % 6.71/6.99 (assume @p1806 (forall (@list @t181 @t51) (= (= (tptp.hAPP @t2478 @t181) @t936) (or @t996 (= @t51 @t936))))) % 6.71/6.99 (assume @p1807 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t2477 @t936) @t176) @t936))) % 6.71/6.99 (assume @p1808 (forall @t2451 (= (tptp.hBOOL (tptp.hAPP @t910 (tptp.hAPP @t2478 @t115))) (or (tptp.hBOOL (tptp.hAPP @t910 @t51)) @t971)))) % 6.71/6.99 (assume @p1809 (forall @t2482 (=> (tptp.hBOOL (tptp.hAPP @t910 @t209)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2481) @t2480)) @t603)))) % 6.71/6.99 (assume @p1810 (forall @t959 (=> (tptp.hBOOL (tptp.hAPP @t1195 @t209)) (tptp.hBOOL (tptp.hAPP @t1195 @t2480))))) % 6.71/6.99 (assume @p1811 (forall @t197 (= @t2485 @t2483))) % 6.71/6.99 (assume @p1812 (forall @t197 (= @t2483 @t2485))) % 6.71/6.99 (assume @p1813 (forall @t2424 (= (tptp.hAPP (tptp.hAPP @t2402 @t1626) @t176) (tptp.hAPP @t1511 (tptp.hAPP (tptp.hAPP @t2477 @t30) @t176))))) % 6.71/6.99 (assume @p1814 (forall (@list @t2417 @t193) (and (=> @t1418 (= @t2487 @t1243)) (=> @t1419 (= @t2487 (tptp.hAPP @t2418 (tptp.hAPP @t2486 @t1417))))))) % 6.71/6.99 (assume @p1815 (forall (@list @t176 @t70) (=> @t1600 (= (tptp.hAPP tptp.c_Int_Onat @t2407) (tptp.hAPP (tptp.hAPP @t2477 @t1785) @t176))))) % 6.71/6.99 (assume @p1816 (forall @t2424 (=> @t1672 (= (tptp.hAPP (tptp.hAPP @t2477 @t1814) @t176) (tptp.hAPP tptp.c_Int_Onat @t2423))))) % 6.71/6.99 (assume @p1817 (forall @t55 (=> @t2064 (= (tptp.hAPP @t2490 @t226) (tptp.hAPP @t2489 @t1978))))) % 6.71/6.99 (assume @p1818 (forall @t2258 (and (=> @t2229 (= @t2493 (tptp.hAPP @t2494 @t176))) (=> @t2242 (= @t2493 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2491 @t176))))))) % 6.71/6.99 (assume @p1819 (forall @t2120 (and (=> @t2229 (= @t2495 (tptp.hAPP @t2494 @t2141))) (=> @t2242 (= @t2495 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2491 @t2141))))))) % 6.71/6.99 (assume @p1820 (forall @t2464 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t31) (=> @t1047 (not (= @t2459 @t960)))))) % 6.71/6.99 (assume @p1821 (forall @t2462 (=> @t1367 (= (tptp.hAPP (tptp.hAPP @t2406 @t1043) @t176) (tptp.hAPP @t2496 @t2457))))) % 6.71/6.99 (assume @p1822 (forall @t2464 (=> @t1368 (= @t2498 @t2497)))) % 6.71/6.99 (assume @p1823 (forall @t1452 (=> @t1368 (= (tptp.hAPP @t2499 @t176) @t1261)))) % 6.71/6.99 (assume @p1824 (forall @t1309 (=> @t1308 (= (tptp.hAPP @t1305 @t2484) (tptp.hAPP (tptp.hAPP @t2406 @t1307) @t176))))) % 6.71/6.99 (assume @p1825 (forall @t2472 (=> @t1368 (= (tptp.hAPP @t2458 @t1190) (tptp.hAPP (tptp.hAPP @t2406 @t2471) @t176))))) % 6.71/6.99 (assume @p1826 (forall @t2464 (=> @t1199 (= @t2502 @t2501)))) % 6.71/6.99 (assume @p1827 (forall @t489 (=> @t1368 (= (tptp.hAPP @t2458 @t1243) @t81)))) % 6.71/6.99 (assume @p1828 (forall @t2462 (=> @t1327 (=> @t92 (=> @t1105 (tptp.hBOOL (tptp.hAPP @t2503 @t2457))))))) % 6.71/6.99 (assume @p1829 (forall @t2464 (=> @t1327 (=> @t1105 (tptp.hBOOL (tptp.hAPP @t1101 @t2459)))))) % 6.71/6.99 (assume @p1830 (forall @t2464 (=> @t1327 (=> @t1146 (tptp.hBOOL (tptp.hAPP @t1143 @t2459)))))) % 6.71/6.99 (assume @p1831 (forall @t2438 (=> (and @t2504 (tptp.class_Rings_Omult__zero @t10) (tptp.class_Rings_Ono__zero__divisors @t10) (tptp.class_Rings_Ozero__neq__one @t10)) (= (= @t2437 @t925) (and @t962 @t972))))) % 6.71/6.99 (assume @p1832 (forall @t2464 (=> @t1327 (=> @t2505 (tptp.hBOOL (tptp.hAPP @t1447 @t2459)))))) % 6.71/6.99 (assume @p1833 (forall @t1452 (=> @t2508 (= (tptp.hAPP @t2506 @t177) @t960)))) % 6.71/6.99 (assume @p1834 (forall (@list @t115 @t181 @t173 @t10) (=> @t1260 (=> (tptp.hBOOL (tptp.hAPP @t2468 @t173)) (= (= (tptp.hAPP @t2436 @t181) @t2437) @t721))))) % 6.71/6.99 (assume @p1835 (forall @t2464 (=> @t1368 (= @t2509 @t2498)))) % 6.71/6.99 (assume @p1836 (forall @t2464 (=> @t2507 (= @t2509 @t2497)))) % 6.71/6.99 (assume @p1837 (forall @t489 (=> @t2507 (= (tptp.hAPP @t2458 @t890) @t1261)))) % 6.71/6.99 (assume @p1838 (forall @t2472 (=> @t1368 (= (tptp.hAPP @t2458 @t1297) (tptp.hAPP (tptp.hAPP @t1041 @t2471) @t2459))))) % 6.71/6.99 (assume @p1839 (forall @t2464 (=> @t1199 (= (tptp.hAPP @t1885 @t2511) @t2502)))) % 6.71/6.99 (assume @p1840 (forall @t2512 (=> @t1327 (=> @t2461 (=> @t1102 @t646))))) % 6.71/6.99 (assume @p1841 (forall @t2512 (=> @t1327 (=> (= @t2509 @t2513) (=> @t1105 (=> @t1102 @t95)))))) % 6.71/6.99 (assume @p1842 (forall @t2512 (=> @t1327 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2509) @t2513)) (=> @t1102 @t92))))) % 6.71/6.99 (assume @p1843 (forall @t2464 (=> @t1327 (=> @t2463 (tptp.hBOOL (tptp.hAPP @t2460 @t2497)))))) % 6.71/6.99 (assume @p1844 (forall @t2464 (=> @t1327 (=> @t2463 (tptp.hBOOL (tptp.hAPP @t1448 @t2497)))))) % 6.71/6.99 (assume @p1845 (forall @t1452 (=> @t2508 (and (=> @t968 (= @t2514 @t1261)) (=> @t969 (= @t2514 @t960)))))) % 6.71/6.99 (assume @p1846 (forall @t2464 (=> @t1327 (=> @t2463 (tptp.hBOOL (tptp.hAPP @t1448 @t2509)))))) % 6.71/6.99 (assume @p1847 (forall @t2470 (=> @t1260 (=> @t2469 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t2467) @t2466)) @t1510))))) % 6.71/6.99 (assume @p1848 (forall @t2472 (=> @t1327 (=> @t2463 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2471) @t2459)) @t603))))) % 6.71/6.99 (assume @p1849 (forall @t2476 (=> @t1327 (=> @t2515 (=> @t2463 (tptp.hBOOL (tptp.hAPP @t2460 @t2474))))))) % 6.71/6.99 (assume @p1850 (forall @t2464 (=> @t1199 (tptp.hBOOL (tptp.hAPP @t1101 @t2501))))) % 6.71/6.99 (assume @p1851 (forall @t2476 (=> @t1327 (=> @t2475 (=> @t2505 (tptp.hBOOL (tptp.hAPP @t2503 @t2474))))))) % 6.71/6.99 (assume @p1852 (forall @t2464 (=> @t1507 (= @t2511 (tptp.hAPP (tptp.hAPP @t1041 (tptp.hAPP @t2516 @t176)) @t2459))))) % 6.71/6.99 (assume @p1853 (forall @t2464 (=> @t1327 (=> @t1146 (=> @t2517 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2497) @t2459))))))) % 6.71/6.99 (assume @p1854 (forall @t2512 (=> @t1327 (=> (= @t2459 @t2457) (=> @t1105 (=> @t1102 (=> @t918 @t95))))))) % 6.71/6.99 (assume @p1855 (forall @t2464 (=> @t1327 (=> @t1146 (=> @t2517 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2509) @t1261))))))) % 6.71/6.99 (assume @p1856 (forall @t2476 (=> @t1327 (=> @t2515 (=> @t1146 (=> @t2517 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2474) @t2459)))))))) % 6.71/6.99 (assume @p1857 (forall @t2267 (=> (tptp.c_Big__Operators_Osemilattice__big @t10 @t2 @t791) @t2361))) % 6.71/6.99 (assume @p1858 (forall @t200 (= (tptp.c_Nitpick_Onat__lcm @t30 @t64) (tptp.hAPP (tptp.hAPP @t2405 @t1624) @t2518)))) % 6.71/6.99 (assume @p1859 (forall @t2524 (=> @t2523 (and @t2522 @t2521)))) % 6.71/6.99 (assume @p1860 (forall @t164 (=> @t2504 (= @t2435 (tptp.c_Power_Opower_Opower @t10 @t1322 @t1019))))) % 6.71/6.99 (assume @p1861 (forall @t746 (=> @t552 (=> @t2064 (=> @t351 (and (=> @t2197 (= @t2526 @t51)) (=> @t2198 (= @t2526 @t2525)))))))) % 6.71/6.99 (assume @p1862 (forall @t204 (=> @t552 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t745) @t51)))) % 6.71/6.99 (assume @p1863 (forall (@list @t173 @t2528 @t2527 @t10) (= (tptp.hAPP @t2529 @t890) @t2527))) % 6.71/6.99 (assume @p1864 (forall (@list @t115 @t173 @t2528 @t2527 @t10) (= (tptp.hAPP @t2529 @t116) (tptp.hAPP (tptp.hAPP @t2528 @t173) (tptp.hAPP @t2529 @t115))))) % 6.71/6.99 (assume @p1865 (forall @t2074 (=> @t552 (=> @t2064 (=> @t344 (= (tptp.hAPP @t748 @t2526) @t173)))))) % 6.71/6.99 (assume @p1866 (forall @t746 (=> @t552 (=> @t2064 (=> @t351 (= @t2530 @t2526)))))) % 6.71/6.99 (assume @p1867 (forall @t55 (=> @t223 (=> @t2064 (=> @t430 (= @t2526 @t257)))))) % 6.71/6.99 (assume @p1868 (forall @t55 (=> @t552 (=> @t2064 (= @t2526 @t2400))))) % 6.71/6.99 (assume @p1869 (forall @t746 (=> @t552 (=> @t2064 @t2532)))) % 6.71/6.99 (assume @p1870 (forall @t29 (=> @t552 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t458 @t2533) @t2526) @t2526))))))) % 6.71/6.99 (assume @p1871 (forall @t2524 (=> @t2523 @t2521))) % 6.71/6.99 (assume @p1872 (forall @t29 (=> @t552 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t2536))))))) % 6.71/6.99 (assume @p1873 (forall @t1744 (and (=> @t2537 (= @t2518 @t30)) (=> (not @t2537) (= @t2518 (tptp.c_Nitpick_Onat__gcd @t64 @t2135)))))) % 6.71/6.99 (assume @p1874 (forall @t746 (=> @t552 (=> @t2064 (=> @t674 @t2532))))) % 6.71/6.99 (assume @p1875 (forall @t746 (=> @t552 (=> @t2064 (and (=> @t2197 (= @t2531 @t51)) (=> @t2198 (= @t2531 @t2525))))))) % 6.71/6.99 (assume @p1876 (forall @t29 (=> @t552 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t2536)))))))) % 6.71/6.99 (assume @p1877 (forall @t29 (=> @t552 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t458 @t2535) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t320)) @t2534))))))) % 6.71/6.99 (assume @p1878 (forall @t200 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t30) @t64) (tptp.hAPP @t1511 (tptp.c_Nitpick_Onat__gcd @t2069 @t2067))))) % 6.71/6.99 (assume @p1879 (forall @t55 (=> @t552 (=> @t2064 (=> @t430 (=> (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2538) @t2265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2526) @t21)))))))) % 6.71/6.99 (assume @p1880 (forall @t746 (=> @t552 (=> @t2064 (=> @t351 (and (=> @t2197 (= @t2540 @t51)) (=> @t2198 (= @t2540 @t2539)))))))) % 6.71/6.99 (assume @p1881 (forall @t2547 (=> @t552 (=> (forall @t284 (= (tptp.hAPP @t2075 @t2538) (tptp.hAPP (tptp.hAPP @t458 @t2546) @t2545))) (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t1071)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t2542)))))))) % 6.71/6.99 (assume @p1882 (forall @t2547 (=> @t2390 (=> (forall @t284 (= (tptp.hAPP @t2075 @t2401) (tptp.hAPP (tptp.hAPP @t1019 @t2546) @t2545))) (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.hAPP @t2324 @t1071)) (tptp.hAPP @t2324 @t2542)))))))) % 6.71/6.99 (assume @p1883 (forall @t204 (=> @t552 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t745) @t51)))) % 6.71/6.99 (assume @p1884 (forall @t746 (=> @t552 (=> @t2064 (=> @t351 (= @t2548 @t2540)))))) % 6.71/6.99 (assume @p1885 (forall @t2074 (=> @t552 (=> @t2064 (=> @t344 (= (tptp.hAPP @t754 @t2540) @t173)))))) % 6.71/6.99 (assume @p1886 (forall @t55 (=> @t223 (=> @t2064 (=> @t430 (= @t2540 @t252)))))) % 6.71/6.99 (assume @p1887 (forall @t55 (=> @t552 (=> @t2064 (= @t2540 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t463) @t21)))))) % 6.71/6.99 (assume @p1888 (forall @t746 (=> @t552 (=> @t2064 @t2550)))) % 6.71/6.99 (assume @p1889 (forall @t29 (=> @t552 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t463 @t2551) @t2540) @t2540))))))) % 6.71/6.99 (assume @p1890 (forall @t29 (=> @t552 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t2554))))))) % 6.71/6.99 (assume @p1891 (forall @t55 (=> @t552 (=> @t2064 (=> @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2526) @t2540))))))) % 6.71/6.99 (assume @p1892 (forall @t746 (=> @t552 (=> @t2064 (=> @t674 @t2550))))) % 6.71/6.99 (assume @p1893 (forall @t746 (=> @t552 (=> @t2064 (and (=> @t2197 (= @t2549 @t51)) (=> @t2198 (= @t2549 @t2539))))))) % 6.71/6.99 (assume @p1894 (forall @t29 (=> @t552 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t463 @t2553) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t320)) @t2552))))))) % 6.71/6.99 (assume @p1895 (forall @t29 (=> @t552 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t2554)))))))) % 6.71/6.99 (assume @p1896 (forall @t55 (=> @t552 (=> @t2064 (=> @t430 (=> (forall @t284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2555) @t2265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t2540) @t21)))))))) % 6.71/6.99 (assume @p1897 (forall @t2547 (=> @t552 (=> (forall @t284 (= (tptp.hAPP @t2075 @t2555) (tptp.hAPP (tptp.hAPP @t463 @t2546) @t2545))) (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t1071)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t2542)))))))) % 6.71/6.99 (assume @p1898 (forall (@list @t151 @t108 @t10) (=> (tptp.hBOOL (tptp.hAPP @t2086 @t108)) (=> (tptp.hBOOL (tptp.hAPP @t2063 @t334)) (=> (forall (@list @t2558) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t2558) @t108)) (= (tptp.hAPP @t1960 @t2558) @t151))) (=> (forall (@list @t2557) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t2557) @t108)) (forall (@list @t2556) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t2556) @t108)) (=> (not (= @t2557 @t2556)) (= (tptp.hAPP (tptp.hAPP @t264 @t2557) @t2556) @t146)))))) (= (tptp.hAPP @t1082 (tptp.hAPP @t2490 @t108)) (tptp.hAPP @t1960 @t334)))))))) % 6.71/6.99 (assume @p1899 (forall @t1864 (and (=> @t2560 (= @t2559 @t1243)) (=> @t2561 (= @t2559 @t2256))))) % 6.71/6.99 (assume @p1900 (forall @t1864 (and (=> @t2560 (= @t2562 @t1243)) (=> @t2561 (= @t2562 @t2256))))) % 6.71/6.99 (assume @p1901 (= tptp.c_Int_OPls @t1508)) % 6.71/6.99 (assume @p1902 (tptp.hBOOL (tptp.hAPP @t2563 tptp.c_Int_OPls))) % 6.71/6.99 (assume @p1903 (not (tptp.hBOOL (tptp.hAPP @t2564 tptp.c_Int_OPls)))) % 6.71/6.99 (assume @p1904 (forall @t1596 (= (tptp.hAPP @t1659 tptp.c_Int_OPls) @t208))) % 6.71/6.99 (assume @p1905 (forall @t1596 (= (tptp.hAPP @t2565 @t208) @t208))) % 6.71/6.99 (assume @p1906 (forall @t1666 (= (tptp.hAPP (tptp.hAPP @t1525 tptp.c_Int_OPls) @t1544) tptp.c_Int_OPls))) % 6.71/6.99 (assume @p1907 (forall @t1596 (= (tptp.hAPP @t2359 tptp.c_Int_OPls) @t208))) % 6.71/6.99 (assume @p1908 (= @t2566 tptp.c_Int_OPls)) % 6.71/6.99 (assume @p1909 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 6.71/6.99 (assume @p1910 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 6.71/6.99 (assume @p1911 (forall @t471 (=> @t1881 (= @t2567 @t960)))) % 6.71/6.99 (assume @p1912 (forall @t471 (=> @t1881 (= @t960 @t2567)))) % 6.71/6.99 (assume @p1913 (forall @t489 (=> @t1881 (= (tptp.hAPP @t1268 @t2567) @t81)))) % 6.71/6.99 (assume @p1914 (forall @t489 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t1262 @t2567) @t81) @t81)))) % 6.71/6.99 (assume @p1915 (not (tptp.hBOOL (tptp.hAPP @t2564 @t1508)))) % 6.71/6.99 (assume @p1916 (= @t2568 @t890)) % 6.71/6.99 (assume @p1917 (= @t890 @t2568)) % 6.71/6.99 (assume @p1918 (= @t1508 @t2569)) % 6.71/6.99 (assume @p1919 (not (tptp.hBOOL (tptp.hAPP @t2563 tptp.c_Int_OMin)))) % 6.71/6.99 (assume @p1920 (tptp.hBOOL (tptp.hAPP @t2328 tptp.c_Int_OPls))) % 6.71/6.99 (assume @p1921 (not (tptp.hBOOL (tptp.hAPP @t2564 tptp.c_Int_OMin)))) % 6.71/6.99 (assume @p1922 (tptp.hBOOL (tptp.hAPP @t2329 tptp.c_Int_OPls))) % 6.71/6.99 (assume @p1923 (not (= @t2569 @t2310))) % 6.71/6.99 (assume @p1924 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2569)))) % 6.71/6.99 (assume @p1925 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 6.71/6.99 (assume @p1926 (forall @t2573 (= @t2572 @t2571))) % 6.71/6.99 (assume @p1927 (forall @t2573 (= (= @t890 @t2236) @t2571))) % 6.71/6.99 (assume @p1928 (tptp.hBOOL (tptp.hAPP @t1592 @t2569))) % 6.71/6.99 (assume @p1929 (forall @t2237 (= (tptp.hBOOL (tptp.hAPP @t2575 @t2235)) (and (=> @t2574 (tptp.hBOOL (tptp.hAPP @t2564 @t2231))) @t2574)))) % 6.71/6.99 (assume @p1930 (forall @t2237 (= (tptp.hBOOL (tptp.hAPP @t2576 @t2235)) (=> (not (tptp.hBOOL (tptp.hAPP @t2570 @t2231))) @t2571)))) % 6.71/6.99 (assume @p1931 (forall @t204 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1975 @t925)) (tptp.hBOOL (tptp.hAPP @t1795 tptp.c_Int_OPls)))))) % 6.71/6.99 (assume @p1932 (forall @t2577 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t987 @t1891)) (tptp.hBOOL (tptp.hAPP @t2563 @t97)))))) % 6.71/6.99 (assume @p1933 (forall @t2577 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t989 @t1891)) (tptp.hBOOL (tptp.hAPP @t2564 @t97)))))) % 6.71/6.99 (assume @p1934 (forall @t204 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1977 @t925)) (tptp.hBOOL (tptp.hAPP @t1804 tptp.c_Int_OPls)))))) % 6.71/6.99 (assume @p1935 (forall @t2573 (= (tptp.hBOOL (tptp.hAPP @t910 @t2236)) (tptp.hBOOL (tptp.hAPP @t2564 @t1961))))) % 6.71/6.99 (assume @p1936 (forall @t2251 (and (=> @t2560 (= @t2578 @t2210)) (=> @t2561 (and (=> @t2579 (= @t2578 @t1862)) (=> (not @t2579) (= @t2578 @t2238))))))) % 6.71/6.99 (assume @p1937 (forall @t2251 (and (=> @t2560 (= @t2582 @t890)) (=> @t2561 (= @t2582 @t2580))))) % 6.71/6.99 (assume @p1938 (forall @t2243 (and (=> @t2560 (= @t2583 @t890)) (=> @t2561 (= @t2583 (tptp.hAPP (tptp.hAPP @t1028 @t2580) @t208)))))) % 6.71/6.99 (assume @p1939 (forall @t2577 (=> @t1894 (= (= @t925 @t1891) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 (tptp.hAPP @t2565 @t2584))))))) % 6.71/6.99 (assume @p1940 (forall @t204 (=> @t1894 (= (= @t1892 @t925) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 (tptp.hAPP @t2585 @t2566))))))) % 6.71/6.99 (assume @p1941 (forall @t1864 (and (=> @t2587 (= @t1863 @t890)) (=> (not @t2587) (= @t1863 @t2586))))) % 6.71/6.99 (assume @p1942 (forall @t2017 (=> @t1894 (=> (tptp.hBOOL (tptp.hAPP @t2563 @t1354)) (tptp.hBOOL (tptp.hAPP @t2016 @t2588)))))) % 6.71/6.99 (assume @p1943 (forall (@list @t193 @t1411) (=> (tptp.hBOOL (tptp.hAPP @t2564 @t1411)) (= (tptp.hAPP @t940 @t1862) (tptp.hAPP @t914 @t2586))))) % 6.71/6.99 (assume @p1944 (forall @t1758 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t30)) @t30))) % 6.71/6.99 (assume @p1945 (forall @t471 (=> @t1308 (tptp.c_Int_Oiszero @t31 @t960)))) % 6.71/6.99 (assume @p1946 (forall @t1850 (=> @t222 (= (tptp.c_Int_Oiszero @t10 @t513) @t2589)))) % 6.71/6.99 (assume @p1947 (forall @t471 (=> @t1308 (not (tptp.c_Int_Oiszero @t31 @t1261))))) % 6.71/6.99 (assume @p1948 (forall @t1606 (= @t2115 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 (tptp.c_Int_Opred @t151)) @t227))))) % 6.71/6.99 (assume @p1949 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 6.71/6.99 (assume @p1950 (forall @t1596 (= @t2590 (tptp.hAPP @t2359 @t1538)))) % 6.71/6.99 (assume @p1951 (forall @t1596 (= (tptp.hAPP @t1659 tptp.c_Int_OMin) @t2590))) % 6.71/6.99 (assume @p1952 (forall @t1596 (= (tptp.hAPP (tptp.hAPP @t1549 tptp.c_Int_OMin) @t208) @t2590))) % 6.71/6.99 (assume @p1953 (forall @t471 (=> @t1881 (tptp.c_Int_Oiszero @t31 @t2567)))) % 6.71/6.99 (assume @p1954 (forall @t164 (=> @t222 (tptp.hBOOL (tptp.hAPP @t1779 @t2588))))) % 6.71/6.99 (assume @p1955 (forall @t570 (=> @t222 (=> @t2592 (=> @t2591 (tptp.hBOOL (tptp.hAPP @t1792 @t2588))))))) % 6.71/6.99 (assume @p1956 (forall @t570 (=> @t222 (=> @t2592 (=> @t2591 (tptp.hBOOL (tptp.hAPP @t1794 @t2588))))))) % 6.71/6.99 (assume @p1957 (forall @t471 (=> @t1881 (not (tptp.c_Int_Oiszero @t31 @t2377))))) % 6.71/6.99 (assume @p1958 (forall @t164 (=> @t222 (tptp.hBOOL (tptp.hAPP @t1797 @t2588))))) % 6.71/6.99 (assume @p1959 (forall @t598 (=> @t222 (tptp.hBOOL (tptp.hAPP @t1802 @t2588))))) % 6.71/6.99 (assume @p1960 (forall @t2014 (=> @t1881 (= (tptp.hAPP @t1877 (tptp.c_Int_Opred @t1544)) (tptp.hAPP (tptp.hAPP @t1262 @t1456) @t1982))))) % 6.71/6.99 (assume @p1961 (forall @t2573 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t2593)) @t2572))) % 6.71/6.99 (assume @p1962 (forall @t107 (=> @t1894 (= @t1893 (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 (tptp.hAPP @t2585 @t2584))))))) % 6.71/6.99 (assume @p1963 (forall @t2577 (=> @t1894 (= (= @t1322 @t1891) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 (tptp.hAPP @t2595 @t2584))))))) % 6.71/6.99 (assume @p1964 (forall @t204 (=> @t1894 (= (= @t1892 @t1322) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 (tptp.hAPP @t2585 @t2596))))))) % 6.71/6.99 (assume @p1965 (forall @t1882 (=> @t1881 (= (tptp.hAPP @t2005 @t1261) (tptp.hAPP @t1877 (tptp.hAPP @t1985 @t2596)))))) % 6.71/6.99 (assume @p1966 (forall @t2014 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t840 @t1261) @t1982) (tptp.hAPP @t1877 (tptp.hAPP @t2595 @t1568)))))) % 6.71/6.99 (assume @p1967 (forall (@list @t1071 @t2075 @t791 @t2 @t10) (=> @t2301 (=> (forall @t284 (= (tptp.hAPP @t2075 @t2266) (tptp.hAPP (tptp.hAPP @t2 @t2546) @t2545))) (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.hAPP @t791 @t1071)) (tptp.hAPP @t791 @t2542)))))))) % 6.71/6.99 (assume @p1968 (forall @t1606 (= (= @t2599 @t2598) @t2597))) % 6.71/6.99 (assume @p1969 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2600 @t2598)) @t1605))) % 6.71/6.99 (assume @p1970 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2606 @t2604)) @t2603))) % 6.71/6.99 (assume @p1971 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2608 @t2598)) @t2115))) % 6.71/6.99 (assume @p1972 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2610 @t2604)) @t2609))) % 6.71/6.99 (assume @p1973 (forall @t1596 (not (= @t2611 tptp.c_Int_OPls)))) % 6.71/6.99 (assume @p1974 (forall @t2613 (not (= tptp.c_Int_OPls @t2612)))) % 6.71/6.99 (assume @p1975 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 6.71/6.99 (assume @p1976 (forall @t2614 (= (= tptp.c_Int_OMin @t2598) (= tptp.c_Int_OMin @t227)))) % 6.71/6.99 (assume @p1977 (forall @t157 (= (= @t2599 tptp.c_Int_OMin) (= @t151 tptp.c_Int_OMin)))) % 6.71/6.99 (assume @p1978 (forall @t2617 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2616) @t1508)) @t2615))) % 6.71/6.99 (assume @p1979 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2563 @t2599)) @t2618))) % 6.71/6.99 (assume @p1980 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2600 tptp.c_Int_OPls)) @t2619))) % 6.71/6.99 (assume @p1981 (forall @t1596 (= @t2611 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP @t1558 @t208)) @t208)))) % 6.71/6.99 (assume @p1982 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2608 tptp.c_Int_OMin)) @t2620))) % 6.71/6.99 (assume @p1983 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2328 @t2599)) (tptp.hBOOL (tptp.hAPP @t2328 @t151))))) % 6.71/6.99 (assume @p1984 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2600 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1604 tptp.c_Int_OMin))))) % 6.71/6.99 (assume @p1985 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2329 @t2599)) @t2621))) % 6.71/6.99 (assume @p1986 (forall @t2617 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1879 @t2616))) @t2623))) % 6.71/6.99 (assume @p1987 (forall @t1596 (= (tptp.hAPP @t1519 @t2611) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t1830))))) % 6.71/6.99 (assume @p1988 (forall @t2014 (=> (and @t1881 (tptp.class_Int_Oring__char__0 @t31)) (not (tptp.c_Int_Oiszero @t31 @t2624))))) % 6.71/6.99 (assume @p1989 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t2594)) % 6.71/6.99 (assume @p1990 (forall @t2014 (=> @t1881 (= @t2624 (tptp.hAPP (tptp.hAPP @t1262 @t2625) @t1982))))) % 6.71/6.99 (assume @p1991 (forall @t489 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t1041 @t2626) @t81) @t81)))) % 6.71/6.99 (assume @p1992 (forall @t489 (=> @t1881 (= (tptp.hAPP @t1042 @t2626) @t81)))) % 6.71/6.99 (assume @p1993 (forall @t471 (=> @t1881 (= @t1261 @t2626)))) % 6.71/6.99 (assume @p1994 (forall @t471 (=> @t1881 (= @t2626 @t1261)))) % 6.71/6.99 (assume @p1995 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2564 @t2599)) @t2618))) % 6.71/6.99 (assume @p1996 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2608 tptp.c_Int_OPls)) @t2619))) % 6.71/6.99 (assume @p1997 (= @t1538 (tptp.hAPP @t1879 @t2594))) % 6.71/6.99 (assume @p1998 (= @t1243 @t2627)) % 6.71/6.99 (assume @p1999 (= @t2627 @t1243)) % 6.71/6.99 (assume @p2000 (forall @t2613 (= (tptp.hAPP @t2631 @t2612) @t2630))) % 6.71/6.99 (assume @p2001 (= (tptp.hAPP @t1519 tptp.c_Int_OMin) @t2594)) % 6.71/6.99 (assume @p2002 (tptp.c_Nat__Transfer_Ois__nat @t2633)) % 6.71/6.99 (assume @p2003 (forall @t471 (=> @t1881 (not (tptp.c_Int_Oiszero @t31 @t2626))))) % 6.71/6.99 (assume @p2004 (= @t2627 @t936)) % 6.71/6.99 (assume @p2005 (= @t2634 (tptp.hAPP tptp.c_Nat_OSuc @t2488))) % 6.71/6.99 (assume @p2006 (forall @t489 (=> @t1368 (= (tptp.hAPP @t2458 @t2634) (tptp.hAPP (tptp.hAPP @t1041 @t1066) @t81))))) % 6.71/6.99 (assume @p2007 (tptp.hBOOL (tptp.hAPP @t1592 @t2633))) % 6.71/6.99 (assume @p2008 (forall @t180 (= @t2638 @t2636))) % 6.71/6.99 (assume @p2009 (= @t2633 (tptp.hAPP @t1511 @t2634))) % 6.71/6.99 (assume @p2010 (= @t2634 (tptp.hAPP tptp.c_Int_Onat @t2633))) % 6.71/6.99 (assume @p2011 (forall @t2577 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t1322) @t1891)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2594) @t97)))))) % 6.71/6.99 (assume @p2012 (forall @t204 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1975 @t1322)) (tptp.hBOOL (tptp.hAPP @t1795 @t2594)))))) % 6.71/6.99 (assume @p2013 (forall @t2577 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t2468 @t1891)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2594) @t97)))))) % 6.71/6.99 (assume @p2014 (forall @t204 (=> @t1976 (= (tptp.hBOOL (tptp.hAPP @t1977 @t1322)) (tptp.hBOOL (tptp.hAPP @t1804 @t2594)))))) % 6.71/6.99 (assume @p2015 (forall @t1882 (=> @t1881 (= (tptp.hAPP @t1983 @t1261) (tptp.hAPP @t1877 (tptp.hAPP @t1985 @t2594)))))) % 6.71/6.99 (assume @p2016 (forall @t2014 (=> @t1881 (= @t2625 (tptp.hAPP @t1877 (tptp.hAPP @t2595 @t1544)))))) % 6.71/6.99 (assume @p2017 (forall @t712 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t2568) @t176)) (= @t941 (tptp.hAPP @t914 (tptp.hAPP @t919 @t2627)))))) % 6.71/6.99 (assume @p2018 (forall @t2642 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2641 @t1862) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2639 @t1862)))) % 6.71/6.99 (assume @p2019 (forall @t197 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2641 @t176) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2639 @t176)))) % 6.71/6.99 (assume @p2020 (forall @t197 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t193 @t2638) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t193 @t2636)))) % 6.71/6.99 (assume @p2021 (forall @t2642 (= (tptp.hAPP @t2644 @t1862) (tptp.hAPP @t2643 @t1862)))) % 6.71/6.99 (assume @p2022 (forall @t197 (= (tptp.hAPP @t2644 @t176) (tptp.hAPP @t2643 @t176)))) % 6.71/6.99 (assume @p2023 (forall @t197 (= (tptp.hAPP @t2412 @t2638) (tptp.hAPP @t2412 @t2636)))) % 6.71/6.99 (assume @p2024 (forall @t2656 (and (=> @t2653 (= @t2652 (tptp.hAPP (tptp.hAPP @t1549 @t2655) @t1538))) (=> @t2654 (= @t2652 (tptp.hAPP (tptp.hAPP @t1514 (tptp.hAPP @t2648 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2645 @t2118))) @t1538)))))) % 6.71/6.99 (assume @p2025 (forall @t1937 (=> @t2032 (= @t2661 (tptp.hAPP (tptp.hAPP @t1514 (tptp.hAPP @t2648 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2657 @t81))) @t1538))))) % 6.71/6.99 (assume @p2026 (forall @t1937 (=> @t2032 (= @t2662 (tptp.hAPP (tptp.hAPP @t2312 @t2657) @t81))))) % 6.71/6.99 (assume @p2027 (forall @t1937 (=> @t2028 (= @t2662 (tptp.hAPP @t2350 @t81))))) % 6.71/6.99 (assume @p2028 (forall @t1937 (=> @t2028 (= @t2661 (tptp.hAPP @t1558 (tptp.hAPP @t2648 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t85 @t81))))))) % 6.71/6.99 (assume @p2029 (forall @t2011 (not (= @t2663 @t2612)))) % 6.71/6.99 (assume @p2030 (forall @t2011 (not (= @t2611 @t2664)))) % 6.71/6.99 (assume @p2031 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 6.71/6.99 (assume @p2032 (forall @t2614 (= (= tptp.c_Int_OPls @t2665) (= tptp.c_Int_OPls @t227)))) % 6.71/6.99 (assume @p2033 (forall @t157 (= (= @t2666 tptp.c_Int_OPls) (= @t151 tptp.c_Int_OPls)))) % 6.71/6.99 (assume @p2034 (forall @t2011 (= (tptp.hAPP @t2669 @t2664) @t2668))) % 6.71/6.99 (assume @p2035 (forall @t1596 (= (tptp.hAPP @t1519 @t2663) (tptp.c_Int_OBit0 @t1830)))) % 6.71/6.99 (assume @p2036 (forall @t2011 (= (tptp.hAPP @t2671 @t2664) (tptp.c_Int_OBit0 @t2670)))) % 6.71/6.99 (assume @p2037 (forall @t1596 (= @t2663 (tptp.hAPP @t1659 @t208)))) % 6.71/6.99 (assume @p2038 (forall @t2011 (= (tptp.hAPP (tptp.hAPP @t1525 @t2663) @t943) @t2672))) % 6.71/6.99 (assume @p2039 (forall @t1606 (= (= @t2666 @t2665) @t2597))) % 6.71/6.99 (assume @p2040 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2675 @t2673)) @t2603))) % 6.71/6.99 (assume @p2041 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2676 @t2665)) @t1605))) % 6.71/6.99 (assume @p2042 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2677 @t2673)) @t2609))) % 6.71/6.99 (assume @p2043 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2678 @t2665)) @t2115))) % 6.71/6.99 (assume @p2044 (forall @t2613 (not (= tptp.c_Int_OMin @t2664)))) % 6.71/6.99 (assume @p2045 (forall @t1596 (not (= @t2663 tptp.c_Int_OMin)))) % 6.71/6.99 (assume @p2046 (forall @t2617 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t2679) @t1508)) @t2615))) % 6.71/6.99 (assume @p2047 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2563 @t2666)) @t2618))) % 6.71/6.99 (assume @p2048 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2678 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t2114 tptp.c_Int_OPls))))) % 6.71/6.99 (assume @p2049 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2678 @t2598)) @t2115))) % 6.71/6.99 (assume @p2050 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2677 @t2604)) @t2609))) % 6.71/6.99 (assume @p2051 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2564 @t2666)) (tptp.hBOOL (tptp.hAPP @t2564 @t151))))) % 6.71/6.99 (assume @p2052 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2676 tptp.c_Int_OPls)) @t2619))) % 6.71/6.99 (assume @p2053 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2600 @t2665)) @t1605))) % 6.71/6.99 (assume @p2054 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2606 @t2673)) @t2603))) % 6.71/6.99 (assume @p2055 (forall @t2011 (= (tptp.hAPP @t2681 @t2664) @t2680))) % 6.71/6.99 (assume @p2056 (forall @t2011 (= (tptp.hAPP @t2671 @t2612) @t2680))) % 6.71/6.99 (assume @p2057 (forall @t2613 (= (tptp.hAPP @t2631 @t2664) (tptp.c_Int_OBit0 (tptp.hAPP @t2631 @t943))))) % 6.71/6.99 (assume @p2058 (forall @t2011 (= (tptp.hAPP @t2682 @t2664) (tptp.c_Int_OBit1 @t2667)))) % 6.71/6.99 (assume @p2059 (forall @t2011 (= (tptp.hAPP @t2682 @t2612) @t2668))) % 6.71/6.99 (assume @p2060 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2678 tptp.c_Int_OMin)) @t2620))) % 6.71/6.99 (assume @p2061 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2329 @t2666)) @t2621))) % 6.71/6.99 (assume @p2062 (forall @t2120 (= (tptp.hAPP (tptp.hAPP @t2312 @t2684) @t2650) @t2683))) % 6.71/6.99 (assume @p2063 (forall @t2617 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1879 @t2679))) @t2623))) % 6.71/6.99 (assume @p2064 (forall @t1596 (= (tptp.c_Int_Opred @t2611) @t2663))) % 6.71/6.99 (assume @p2065 (forall @t1596 (= (tptp.c_Int_Opred @t2663) (tptp.c_Int_OBit1 @t2590)))) % 6.71/6.99 (assume @p2066 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 6.71/6.99 (assume @p2067 (forall @t2017 (=> @t1895 (= (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1888 @t2679)) (tptp.c_Int_Oiszero @t10 @t1889))))) % 6.71/6.99 (assume @p2068 (forall @t1596 (= (tptp.c_Int_Osucc @t2663) @t2611))) % 6.71/6.99 (assume @p2069 (forall @t1596 (= (tptp.c_Int_Osucc @t2611) (tptp.c_Int_OBit0 @t2282)))) % 6.71/6.99 (assume @p2070 (forall @t2014 (=> @t1881 (= @t2685 (tptp.hAPP (tptp.hAPP @t1262 (tptp.hAPP @t1341 @t1982)) @t1982))))) % 6.71/6.99 (assume @p2071 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2610 @t2673)) @t2603))) % 6.71/6.99 (assume @p2072 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2608 @t2665)) @t1605))) % 6.71/6.99 (assume @p2073 (forall @t2607 (= (tptp.hBOOL (tptp.hAPP @t2675 @t2604)) @t2609))) % 6.71/6.99 (assume @p2074 (forall @t1606 (= (tptp.hBOOL (tptp.hAPP @t2676 @t2598)) @t2115))) % 6.71/6.99 (assume @p2075 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2687)) @t2686)) % 6.71/6.99 (assume @p2076 (forall @t2011 (= (tptp.hAPP (tptp.hAPP @t1525 @t2611) @t943) (tptp.hAPP (tptp.hAPP @t1549 @t2672) @t943)))) % 6.71/6.99 (assume @p2077 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2676 tptp.c_Int_OMin)) @t2620))) % 6.71/6.99 (assume @p2078 (forall @t157 (= (tptp.hBOOL (tptp.hAPP @t2328 @t2666)) @t2621))) % 6.71/6.99 (assume @p2079 (forall @t2613 (= (tptp.hAPP @t2628 @t2612) (tptp.c_Int_OBit0 @t2629)))) % 6.71/6.99 (assume @p2080 (forall @t2613 (= (tptp.hAPP @t2628 @t2664) @t2630))) % 6.71/6.99 (assume @p2081 (forall @t2011 (= (tptp.hAPP @t2669 @t2612) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1514 @t2590) @t943))))) % 6.71/6.99 (assume @p2082 (forall @t2011 (= (tptp.hAPP @t2681 @t2612) (tptp.c_Int_OBit0 (tptp.hAPP @t1659 (tptp.c_Int_Osucc @t943)))))) % 6.71/6.99 (assume @p2083 (forall @t2014 (=> @t1881 (= (tptp.hAPP @t1265 @t1982) @t2685)))) % 6.71/6.99 (assume @p2084 (forall @t180 (=> (tptp.hBOOL (tptp.hAPP @t1592 @t2688)) (and (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t1879 (tptp.c_Int_OBit0 @t176)))) (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP @t1879 (tptp.c_Int_OBit1 @t176)))))))) % 6.71/6.99 (assume @p2085 (tptp.c_Nat__Transfer_Ois__nat @t2647)) % 6.71/6.99 (assume @p2086 (forall @t1854 (=> @t1881 (= (tptp.hAPP @t2692 @t70) @t2690)))) % 6.71/6.99 (assume @p2087 (forall @t1854 (=> @t1881 (= (tptp.hAPP @t2378 @t2691) @t2690)))) % 6.71/6.99 (assume @p2088 (forall @t471 (=> @t1881 (= @t1264 @t2691)))) % 6.71/6.99 (assume @p2089 (forall @t174 (=> @t1455 (= (= @t2693 @t925) @t962)))) % 6.71/6.99 (assume @p2090 (forall @t471 (=> @t1308 (= (tptp.hAPP @t2506 @t2686) @t960)))) % 6.71/6.99 (assume @p2091 (= @t2488 @t2686)) % 6.71/6.99 (assume @p2092 (= @t2686 @t2488)) % 6.71/6.99 (assume @p2093 (forall @t35 (=> @t1206 (= @t1065 @t2694)))) % 6.71/6.99 (assume @p2094 (forall @t489 (=> @t1368 (= @t2695 @t1066)))) % 6.71/6.99 (assume @p2095 (tptp.hBOOL (tptp.hAPP @t1592 @t2647))) % 6.71/6.99 (assume @p2096 (forall @t180 (= (tptp.hAPP @t1294 @t2686) @t2637))) % 6.71/6.99 (assume @p2097 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t1248 @t2686) @t176) @t2637))) % 6.71/6.99 (assume @p2098 (forall @t471 (=> @t1308 (= (tptp.hAPP @t2499 @t2686) @t1261)))) % 6.71/6.99 (assume @p2099 (forall @t489 (=> @t1507 (= (tptp.hAPP @t2510 @t2686) @t2695)))) % 6.71/6.99 (assume @p2100 (forall @t1541 (= (tptp.hAPP @t2697 @t70) @t2696))) % 6.71/6.99 (assume @p2101 (forall @t1541 (= (tptp.hAPP (tptp.hAPP @t1028 @t70) @t2686) @t2696))) % 6.71/6.99 (assume @p2102 (forall @t2464 (=> @t1368 (= @t2700 @t2698)))) % 6.71/6.99 (assume @p2103 (= @t2647 (tptp.hAPP @t1511 @t2686))) % 6.71/6.99 (assume @p2104 (= @t2686 @t2701)) % 6.71/6.99 (assume @p2105 (forall @t489 (=> @t1199 (= (tptp.hAPP @t1885 @t2695) @t2695)))) % 6.71/6.99 (assume @p2106 (forall @t489 (=> @t1199 (= (tptp.hAPP @t2500 @t2686) @t2695)))) % 6.71/6.99 (assume @p2107 (= (tptp.hAPP @t1324 @t1243) @t2686)) % 6.71/6.99 (assume @p2108 (forall @t922 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2640 @t2686) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t193 @t2686)))) % 6.71/6.99 (assume @p2109 (forall @t922 (= (tptp.hAPP (tptp.hAPP @t2405 @t2640) @t2686) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t2412 @t2686))))) % 6.71/6.99 (assume @p2110 (forall @t2120 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2684 @t2650) @t2655))) % 6.71/6.99 (assume @p2111 (forall @t922 (= (tptp.hAPP (tptp.hAPP @t2405 (tptp.hAPP @t1296 @t193)) @t2686) @t193))) % 6.71/6.99 (assume @p2112 (forall @t489 (=> @t1199 (tptp.hBOOL (tptp.hAPP @t1101 @t2695))))) % 6.71/6.99 (assume @p2113 (forall @t69 (=> @t1327 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2694) @t2702)) (=> @t1487 @t67))))) % 6.71/6.99 (assume @p2114 (forall @t69 (=> @t1327 (=> (= @t2694 @t2702) (=> @t1488 (=> @t1487 @t76)))))) % 6.71/6.99 (assume @p2115 (forall @t174 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t989 @t2693)) @t1953)))) % 6.71/6.99 (assume @p2116 (forall @t489 (=> @t1199 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2695) @t960)))))) % 6.71/6.99 (assume @p2117 (forall @t107 (=> @t1011 (= (= @t2704 @t925) @t1422)))) % 6.71/6.99 (assume @p2118 (forall (@list @t1544 @t10) (=> (and (tptp.class_Groups_Omonoid__mult @t10) @t1890) (= (tptp.hAPP (tptp.hAPP @t2435 @t2705) @t2686) (tptp.hAPP (tptp.hAPP @t1019 @t2705) @t2705))))) % 6.71/6.99 (assume @p2119 (forall @t180 (=> (tptp.hBOOL (tptp.hAPP @t604 @t2686)) (or @t968 (= @t176 @t936))))) % 6.71/6.99 (assume @p2120 (= @t2701 @t2488)) % 6.71/6.99 (assume @p2121 (forall @t174 (=> @t1455 (= (= @t2693 @t1322) (or (= @t173 @t1322) (= @t173 @t1454)))))) % 6.71/6.99 (assume @p2122 (forall @t2708 (=> @t1206 (= (tptp.hAPP @t2409 @t2699) @t2707)))) % 6.71/6.99 (assume @p2123 (forall @t2464 (=> @t1507 (= (tptp.hAPP @t2510 @t2699) @t2700)))) % 6.71/6.99 (assume @p2124 (forall @t69 (=> @t1327 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2694) @t2702)) (=> @t1487 @t632))))) % 6.71/6.99 (assume @p2125 (forall @t107 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2704) @t925)) @t1422)))) % 6.71/6.99 (assume @p2126 (forall @t69 (=> @t1199 (tptp.hBOOL (tptp.hAPP @t1101 @t2709))))) % 6.71/6.99 (assume @p2127 (forall @t107 (=> @t1011 (= (tptp.hBOOL (tptp.hAPP @t989 @t2704)) @t1481)))) % 6.71/6.99 (assume @p2128 (forall @t69 (=> @t1199 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2709) @t960)))))) % 6.71/6.99 (assume @p2129 (forall @t69 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t2406 (tptp.hAPP @t1450 @t64)) @t2686) (tptp.hAPP (tptp.hAPP @t1262 @t2709) @t2710))))) % 6.71/6.99 (assume @p2130 (forall @t2464 (=> @t1199 (tptp.hBOOL (tptp.hAPP @t1101 @t2700))))) % 6.71/6.99 (assume @p2131 (forall @t2464 (=> @t1368 (= @t2712 (tptp.hAPP @t1042 @t2698))))) % 6.71/6.99 (assume @p2132 (forall @t2708 (=> @t1206 (= (tptp.hAPP @t2409 @t2711) (tptp.hAPP @t1064 @t2707))))) % 6.71/6.99 (assume @p2133 (forall @t1452 (=> @t1507 (= (tptp.hAPP @t2516 @t2699) @t1261)))) % 6.71/6.99 (assume @p2134 (forall @t2656 (and (=> @t2653 (= @t2713 @t2683)) (=> @t2654 (= @t2713 (tptp.hAPP (tptp.hAPP @t2312 @t2645) @t2118)))))) % 6.71/6.99 (assume @p2135 (forall @t760 (= (tptp.hBOOL (tptp.hAPP @t910 @t2714)) (= @t2714 @t1243)))) % 6.71/6.99 (assume @p2136 (forall @t180 (=> @t2440 (tptp.hBOOL (tptp.hAPP @t910 (tptp.hAPP @t2414 @t2686)))))) % 6.71/6.99 (assume @p2137 (forall @t69 (=> @t1881 (= (tptp.hAPP (tptp.hAPP @t2406 @t862) @t2686) (tptp.hAPP (tptp.hAPP @t840 @t2709) @t2710))))) % 6.71/6.99 (assume @p2138 (forall @t2464 (=> @t1199 (=> (tptp.hBOOL (tptp.hAPP @t1101 @t2712)) @t1105)))) % 6.71/6.99 (assume @p2139 (forall @t2464 (=> @t1199 (=> @t1151 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2712) @t960)))))) % 6.71/6.99 (assume @p2140 (forall @t1452 (=> @t1507 (= (tptp.hAPP @t2516 @t2711) @t1456)))) % 6.71/6.99 (assume @p2141 (forall @t1452 (=> @t1881 (= (tptp.hAPP @t2450 @t2699) @t1261)))) % 6.71/6.99 (assume @p2142 (forall @t1452 (=> @t1881 (= (tptp.hAPP @t2450 @t2711) @t2377)))) % 6.71/6.99 (assume @p2143 (forall @t180 (=> @t918 (tptp.hBOOL (tptp.hAPP @t910 (tptp.hAPP (tptp.hAPP @t2405 @t1326) @t2686)))))) % 6.71/6.99 (assume @p2144 (forall @t35 (=> @t1308 (=> @t1672 (= (tptp.hAPP @t1305 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t2648 @t30))) (tptp.hAPP (tptp.hAPP @t1262 @t2715) @t2715)))))) % 6.71/6.99 (assume @p2145 (forall @t1596 (and (=> @t2723 (= @t2720 @t1508)) (=> (not @t2723) (and (=> @t2722 (= @t2720 @t2719)) (=> (not @t2722) (= @t2720 (tptp.hAPP (tptp.hAPP @t1549 @t2719) @t1538)))))))) % 6.71/6.99 (assume @p2146 (= @t2724 (tptp.hAPP @t2716 @t2594))) % 6.71/6.99 (assume @p2147 (forall (@list @t1436 @t31) (=> (and @t2726 @t1881) (=> (tptp.hBOOL (tptp.hAPP @t1143 @t1436)) (tptp.hBOOL (tptp.hAPP @t1143 (tptp.hAPP (tptp.hAPP @t2725 @t1436) @t2691))))))) % 6.71/6.99 (assume @p2148 (forall @t2730 (=> (and @t2729 @t1894) (= (tptp.hBOOL (tptp.hAPP @t989 (tptp.hAPP (tptp.hAPP @t2728 @t2727) (tptp.hAPP @t1888 @t2646)))) (tptp.hBOOL (tptp.hAPP @t989 @t2727)))))) % 6.71/6.99 (assume @p2149 (forall @t2249 (=> @t2204 (=> @t2148 (=> @t2142 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t822 @t864)) (= @t4 @t513))) @t2255)))))) % 6.71/6.99 (assume @p2150 (forall @t489 (=> @t2732 (= (tptp.hAPP @t2731 @t960) @t960)))) % 6.71/6.99 (assume @p2151 (forall @t489 (=> @t2733 (= (tptp.hAPP (tptp.hAPP @t2725 @t960) @t81) @t960)))) % 6.71/6.99 (assume @p2152 (= (tptp.hAPP (tptp.hAPP @t2734 @t2721) @t2724) @t2721)) % 6.71/6.99 (assume @p2153 (forall @t485 (=> @t2733 (= @t2737 (tptp.hAPP @t2735 @t85))))) % 6.71/6.99 (assume @p2154 (forall @t489 (=> @t2733 (= (tptp.hAPP @t2731 @t1261) @t81)))) % 6.71/6.99 (assume @p2155 (forall @t94 (=> @t2733 (= (tptp.hAPP (tptp.hAPP @t2725 @t844) @t82) (tptp.hAPP (tptp.hAPP @t840 @t2739) @t2738))))) % 6.71/6.99 (assume @p2156 (forall @t94 (=> @t2733 (= (tptp.hAPP @t1042 @t2738) (tptp.hAPP (tptp.hAPP @t2725 @t1043) @t82))))) % 6.71/6.99 (assume @p2157 (forall @t94 (=> @t2733 (= (tptp.hAPP @t2740 @t82) (tptp.hAPP (tptp.hAPP @t1262 @t2739) @t2738))))) % 6.71/6.99 (assume @p2158 (forall @t2462 (=> @t2742 @t2741))) % 6.71/6.99 (assume @p2159 (forall @t1142 (=> @t2749 (=> @t2748 (= @t2746 @t2743))))) % 6.71/6.99 (assume @p2160 (forall @t2752 (=> @t2749 (=> @t2748 (= @t2751 @t2750))))) % 6.71/6.99 (assume @p2161 (forall @t1426 (=> @t2733 (=> @t2355 (=> (= @t85 @t1110) (= @t2738 @t81)))))) % 6.71/6.99 (assume @p2162 (forall @t1161 (=> @t2733 (=> @t2355 (=> (= @t1110 @t85) (= @t81 @t2738)))))) % 6.71/6.99 (assume @p2163 (forall @t446 (=> @t2749 (=> (not @t1048) (= (= @t2753 @t1322) @t347))))) % 6.71/6.99 (assume @p2164 (forall @t489 (=> @t2733 @t2755))) % 6.71/6.99 (assume @p2165 (forall @t489 (=> @t2732 (and (=> @t1040 (= @t2754 @t960)) @t2755)))) % 6.71/6.99 (assume @p2166 (forall @t647 (=> @t2733 (=> @t1046 @t2756)))) % 6.71/6.99 (assume @p2167 (forall @t647 (=> @t2733 (=> @t1046 @t2757)))) % 6.71/6.99 (assume @p2168 (forall (@list @t176 @t81 @t85 @t31) (=> @t2758 (=> @t1046 @t2741)))) % 6.71/6.99 (assume @p2169 (forall @t2464 (=> @t2742 (= (tptp.hAPP @t2759 @t2459) (tptp.hAPP (tptp.hAPP @t2406 (tptp.hAPP @t2759 @t81)) @t176))))) % 6.71/6.99 (assume @p2170 (forall @t2767 (=> @t2766 (= (= @t173 @t2764) (and (=> @t2763 (= @t2762 @t248)) @t2761))))) % 6.71/6.99 (assume @p2171 (forall @t2770 (=> @t2766 (= (= @t1889 @t2745) (and (=> @t2748 (= @t2769 @t248)) @t2768))))) % 6.71/6.99 (assume @p2172 (forall @t2771 (=> @t2766 (= (= @t2745 @t1889) (and (=> @t2748 (= @t248 @t2769)) @t2768))))) % 6.71/6.99 (assume @p2173 (forall @t2772 (=> @t2766 (= (= @t2764 @t173) (and (=> @t2763 (= @t248 @t2762)) @t2761))))) % 6.71/6.99 (assume @p2174 (forall @t35 (=> @t2774 (= (tptp.hAPP @t2773 @t2567) @t960)))) % 6.71/6.99 (assume @p2175 (forall @t35 (=> @t2775 (= (tptp.hAPP @t2773 @t2626) @t30)))) % 6.71/6.99 (assume @p2176 (forall @t489 (=> @t2775 (= (tptp.hAPP @t2731 @t2626) @t81)))) % 6.71/6.99 (assume @p2177 (forall @t35 (=> @t2774 (= (tptp.hAPP @t2773 @t2377) @t448)))) % 6.71/6.99 (assume @p2178 (= @t2721 (tptp.hAPP @t2716 tptp.c_Int_OPls))) % 6.71/6.99 (assume @p2179 (forall @t2767 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t696 @t2764)) (and (=> @t2779 @t2781) (=> @t2780 (and (=> @t2776 @t2778) (=> @t2777 @t991)))))))) % 6.71/6.99 (assume @p2180 (forall @t2770 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t1963 @t2745)) (and (=> @t1132 @t2786) (=> @t2785 (and (=> @t1131 @t2784) (=> @t2783 @t2776)))))))) % 6.71/6.99 (assume @p2181 (forall @t2771 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t2787 @t1889)) (and (=> @t1132 @t2784) (=> @t2785 (and (=> @t1131 @t2786) (=> @t2783 @t2779)))))))) % 6.71/6.99 (assume @p2182 (forall @t2772 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t2764) @t173)) (and (=> @t2779 @t2778) (=> @t2780 (and (=> @t2776 @t2781) (=> @t2777 @t990)))))))) % 6.71/6.99 (assume @p2183 (forall (@list @t193 @t176 @t81 @t31) (=> @t2758 (=> @t1047 (=> @t206 (= (tptp.hAPP @t2458 @t915) (tptp.hAPP (tptp.hAPP @t2725 @t2471) @t2459))))))) % 6.71/6.99 (assume @p2184 (forall @t35 (=> @t2774 (= (tptp.hAPP (tptp.hAPP @t2725 @t2377) @t30) (tptp.hAPP @t447 (tptp.hAPP @t2759 @t30)))))) % 6.71/6.99 (assume @p2185 (forall @t2767 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t568 @t2764)) (and (=> @t2779 @t2789) (=> @t2780 (and (=> @t2776 @t2788) (=> @t2777 @t986)))))))) % 6.71/6.99 (assume @p2186 (forall @t2770 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t2790 @t2745)) (and (=> @t1132 @t2792) (=> @t2785 (and (=> @t1131 @t2791) (=> @t2783 (tptp.hBOOL (tptp.hAPP @t2790 @t925)))))))))) % 6.71/6.99 (assume @p2187 (forall @t2771 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP @t2793 @t1889)) (and (=> @t1132 @t2791) (=> @t2785 (and (=> @t1131 @t2792) (=> @t2783 (tptp.hBOOL (tptp.hAPP @t987 @t1889)))))))))) % 6.71/6.99 (assume @p2188 (forall @t2772 (=> @t2782 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2764) @t173)) (and (=> @t2779 @t2788) (=> @t2780 (and (=> @t2776 @t2789) (=> @t2777 @t988)))))))) % 6.71/6.99 (assume @p2189 (forall @t662 (=> @t2729 (= @t2796 (and (=> @t1132 @t2795) (=> @t2785 (and (=> @t1131 @t2794) (=> @t2783 @t986)))))))) % 6.71/6.99 (assume @p2190 (forall @t2798 (=> @t2729 (= @t2797 (and (=> @t1132 @t2794) (=> @t2785 (and (=> @t1131 @t2795) (=> @t2783 @t988)))))))) % 6.71/6.99 (assume @p2191 (forall @t1142 (=> @t2799 (=> @t1132 (= @t2796 @t2795))))) % 6.71/6.99 (assume @p2192 (forall @t2752 (=> @t2799 (=> @t1132 (= @t2797 @t2794))))) % 6.71/6.99 (assume @p2193 (forall (@list @t1544 @t70 @t64 @t30 @t31) (=> @t2742 (= (tptp.hAPP (tptp.hAPP @t1041 @t2800) (tptp.hAPP (tptp.hAPP @t2725 @t70) @t1544)) (tptp.hAPP (tptp.hAPP @t2725 @t1360) (tptp.hAPP @t1478 @t1544)))))) % 6.71/6.99 (assume @p2194 (forall @t485 (=> @t2742 @t2756))) % 6.71/6.99 (assume @p2195 (forall @t485 (=> @t2742 @t2757))) % 6.71/6.99 (assume @p2196 (forall @t485 (=> @t2726 @t2801))) % 6.71/6.99 (assume @p2197 (forall @t570 (=> @t2729 (= (tptp.hBOOL (tptp.hAPP @t987 @t2753)) @t1129)))) % 6.71/6.99 (assume @p2198 (forall @t570 (=> @t2729 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t2753) @t925)) @t1127)))) % 6.71/6.99 (assume @p2199 (forall @t94 (=> @t2726 (=> @t92 (=> @t1112 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2739) @t2738))))))) % 6.71/6.99 (assume @p2200 (forall @t94 (=> @t2726 (=> @t92 (=> @t1121 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2738) @t2739))))))) % 6.71/6.99 (assume @p2201 (forall @t89 (=> @t2803 (=> @t644 (=> @t1158 @t2802))))) % 6.71/6.99 (assume @p2202 (forall @t94 (=> @t2803 (=> @t646 (=> @t1155 @t2802))))) % 6.71/6.99 (assume @p2203 (forall @t69 (=> @t2803 (=> @t2806 (=> @t2805 @t2804))))) % 6.71/6.99 (assume @p2204 (forall @t69 (=> @t2803 (=> @t2806 (=> @t2809 @t2808))))) % 6.71/6.99 (assume @p2205 (forall @t69 (=> @t2803 (=> @t1825 (=> @t2805 @t2808))))) % 6.71/6.99 (assume @p2206 (forall @t69 (=> @t2803 (=> @t1825 (=> @t2809 @t2804))))) % 6.71/6.99 (assume @p2207 (forall @t570 (=> @t2729 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t2753) @t925)) (or (and @t990 @t2811) (and @t991 @t2810)))))) % 6.71/6.99 (assume @p2208 (forall @t570 (=> @t2729 (= (tptp.hBOOL (tptp.hAPP @t989 @t2753)) (or (and @t990 @t2810) (and @t991 @t2811)))))) % 6.71/6.99 (assume @p2209 (forall @t662 (=> @t2765 (= @t2746 (and (=> @t2748 @t2743) @t2812))))) % 6.71/6.99 (assume @p2210 (forall @t2798 (=> @t2765 (= @t2751 (and (=> @t2748 @t2750) @t2812))))) % 6.71/6.99 (assume @p2211 (forall @t1161 (=> @t2742 (=> @t2355 (= (tptp.hAPP (tptp.hAPP @t2725 @t1110) @t1068) @t2736))))) % 6.71/6.99 (assume @p2212 (forall @t1161 (=> @t2742 (=> @t2355 (= (tptp.hAPP (tptp.hAPP @t2725 @t1119) @t1118) @t2736))))) % 6.71/6.99 (assume @p2213 (forall (@list @t1354 @t51 @t513 @t97 @t10) (=> @t2813 (=> @t1480 (=> (not @t2589) (= (= (tptp.hAPP (tptp.hAPP @t2728 @t51) @t97) (tptp.hAPP (tptp.hAPP @t2728 @t1354) @t513)) (= @t1357 @t1358))))))) % 6.71/6.99 (assume @p2214 (forall @t647 (=> @t2803 (=> @t1046 @t2801)))) % 6.71/6.99 (assume @p2215 (forall @t69 (=> @t2803 (=> @t2815 (=> @t2805 @t2814))))) % 6.71/6.99 (assume @p2216 (forall @t69 (=> @t2803 (=> @t2815 (=> @t2809 @t2817))))) % 6.71/6.99 (assume @p2217 (forall @t2823 (=> @t2803 (=> @t1488 (=> @t67 (=> @t2822 (=> @t2821 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2820) @t2819))))))))) % 6.71/6.99 (assume @p2218 (forall @t2823 (=> @t2803 (=> @t1488 (=> @t632 (=> @t2822 (=> @t2821 @t2824))))))) % 6.71/6.99 (assume @p2219 (forall @t2823 (=> @t2803 (=> @t1825 (=> @t67 (=> @t2822 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t1544) @t70)) @t2824))))))) % 6.71/6.99 (assume @p2220 (forall @t69 (=> @t2803 (=> @t1488 (=> @t2805 @t2817))))) % 6.71/6.99 (assume @p2221 (forall @t69 (=> @t2803 (=> @t1488 (=> @t2809 @t2814))))) % 6.71/6.99 (assume @p2222 (forall @t662 (=> @t2729 (= @t2827 (and (=> @t1132 @t2826) (=> @t2785 (and (=> @t1131 @t2825) (=> @t2783 @t991)))))))) % 6.71/6.99 (assume @p2223 (forall @t2798 (=> @t2729 (= @t2828 (and (=> @t1132 @t2825) (=> @t2785 (and (=> @t1131 @t2826) (=> @t2783 @t990)))))))) % 6.71/6.99 (assume @p2224 (forall @t1142 (=> @t2799 (=> @t1132 (= @t2827 @t2826))))) % 6.71/6.99 (assume @p2225 (forall @t2752 (=> @t2799 (=> @t1132 (= @t2828 @t2825))))) % 6.71/6.99 (assume @p2226 (forall @t75 (=> @t2803 (=> @t2809 (=> (tptp.hBOOL (tptp.hAPP @t623 @t2829)) (tptp.hBOOL (tptp.hAPP @t2807 @t70))))))) % 6.71/6.99 (assume @p2227 (forall @t546 (=> @t2803 (=> @t2809 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2829) @t30)) (tptp.hBOOL (tptp.hAPP @t654 @t2800))))))) % 6.71/6.99 (assume @p2228 (forall @t1142 (=> @t2799 (=> @t1131 (= @t2827 @t2825))))) % 6.71/6.99 (assume @p2229 (forall @t2752 (=> @t2799 (=> @t1131 (= @t2828 @t2826))))) % 6.71/6.99 (assume @p2230 (forall @t89 (=> @t2803 (=> @t644 (=> @t1155 @t2833))))) % 6.71/6.99 (assume @p2231 (forall @t94 (=> @t2803 (=> @t646 (=> @t1158 @t2833))))) % 6.71/6.99 (assume @p2232 (forall @t2840 (=> @t2758 (=> @t2839 (=> @t2838 (= (tptp.hAPP @t2837 @t2836) (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP (tptp.hAPP @t1262 @t1360) @t2835)) @t2834))))))) % 6.71/6.99 (assume @p2233 (forall @t2842 (=> @t2758 (=> @t2838 (= (tptp.hAPP (tptp.hAPP @t1262 @t2820) @t64) (tptp.hAPP @t2841 @t70)))))) % 6.71/6.99 (assume @p2234 (forall @t75 (=> @t2742 (=> @t2839 (= (tptp.hAPP @t2837 @t70) @t2843))))) % 6.71/6.99 (assume @p2235 (forall @t2842 (=> @t2758 (=> @t2838 (= (tptp.hAPP @t1450 @t2845) (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP (tptp.hAPP @t1262 @t2844) @t64)) @t70)))))) % 6.71/6.99 (assume @p2236 (forall @t546 (=> @t2742 (=> @t2839 (= (tptp.hAPP @t2689 @t2800) @t2843))))) % 6.71/6.99 (assume @p2237 (forall @t2840 (=> @t2758 (=> @t2839 (=> @t2838 (= (tptp.hAPP (tptp.hAPP @t840 @t2800) @t2836) (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP (tptp.hAPP @t840 @t1360) @t2835)) @t2834))))))) % 6.71/6.99 (assume @p2238 (forall @t2842 (=> @t2758 (=> @t2838 (= (tptp.hAPP (tptp.hAPP @t840 @t2820) @t64) (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP @t861 @t2829)) @t70)))))) % 6.71/6.99 (assume @p2239 (forall @t2842 (=> @t2758 (=> @t2838 (= (tptp.hAPP @t861 @t2845) (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP (tptp.hAPP @t840 @t2844) @t64)) @t70)))))) % 6.71/6.99 (assume @p2240 (forall @t485 (=> @t2803 (=> @t646 (tptp.hBOOL (tptp.hAPP @t645 @t2846)))))) % 6.71/6.99 (assume @p2241 (forall @t485 (=> @t2803 (=> @t646 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2846) @t85)))))) % 6.71/6.99 (assume @p2242 (forall @t77 (=> @t2726 (=> @t2809 (= (tptp.hAPP (tptp.hAPP @t2725 @t2015) @t64) (tptp.hAPP @t1885 @t2800)))))) % 6.71/6.99 (assume @p2243 (forall @t94 (=> @t2726 (=> @t92 (=> @t1121 @t2847))))) % 6.71/6.99 (assume @p2244 (forall @t89 (=> @t2803 (=> @t88 (=> @t1112 @t2847))))) % 6.71/6.99 (assume @p2245 (forall @t2752 (=> @t2799 (=> @t1131 (= @t2797 @t2795))))) % 6.71/6.99 (assume @p2246 (forall @t1142 (=> @t2799 (=> @t1131 (= @t2796 @t2794))))) % 6.71/6.99 (assume @p2247 (forall @t546 (=> @t2803 (=> @t2809 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t2829) @t30)) (tptp.hBOOL (tptp.hAPP @t71 @t2800))))))) % 6.71/6.99 (assume @p2248 (forall @t75 (=> @t2803 (=> @t2809 (=> (tptp.hBOOL (tptp.hAPP @t33 @t2829)) (tptp.hBOOL (tptp.hAPP @t2816 @t70))))))) % 6.71/6.99 (assume @p2249 (forall @t959 (and (=> @t2850 (= @t2849 @t176)) (=> (not @t2850) (= @t2849 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2848 @t2724) @t177)))))) % 6.71/6.99 (assume @p2250 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2721) @t890)) % 6.71/6.99 (assume @p2251 (= (tptp.hAPP @t2851 @t2721) @t890)) % 6.71/6.99 (assume @p2252 (forall (@list @t173 @t2 @t21 @t10 @t41) (=> @t2859 (=> @t2064 (=> (not (= @t829 @t2858)) (and (=> @t344 (= @t2855 (tptp.hAPP @t2857 @t829))) (=> @t432 (= @t2855 @t2854)))))))) % 6.71/6.99 (assume @p2253 (forall @t2864 (=> (and @t2863 (tptp.class_Rings_Ono__zero__divisors @t41)) (=> @t2064 (= @t2862 @t2861))))) % 6.71/6.99 (assume @p2254 (forall @t2864 (=> @t2863 (=> @t2064 (=> @t2861 @t2862))))) % 6.71/6.99 (assume @p2255 (forall @t1027 (=> @t2867 (= (tptp.hAPP @t2866 @t825) @t1322)))) % 6.71/6.99 (assume @p2256 (forall @t2869 (=> @t2867 (= (tptp.hAPP @t2868 @t825) @t1322)))) % 6.71/6.99 (assume @p2257 (forall @t2864 (=> @t2277 (=> @t2146 (= @t2854 @t2268))))) % 6.71/6.99 (assume @p2258 (forall @t2873 (=> @t2277 @t2872))) % 6.71/6.99 (assume @p2259 (forall @t2878 (=> @t2078 (= (= (tptp.hAPP @t2877 @t791) @t1243) (forall @t7 (=> @t2875 @t2874)))))) % 6.71/6.99 (assume @p2260 (forall @t2882 (=> @t2298 (= @t2881 @t2880)))) % 6.71/6.99 (assume @p2261 (forall @t2885 (=> @t2277 (=> @t2064 (=> @t674 (= @t2884 (tptp.hAPP @t2883 @t2871))))))) % 6.71/6.99 (assume @p2262 (forall @t2886 (=> @t2277 (=> @t2064 (=> @t432 (= (tptp.hAPP @t2853 @t675) (tptp.hAPP (tptp.hAPP @t2269 @t829) @t2854))))))) % 6.71/6.99 (assume @p2263 (forall @t2278 (=> @t2277 (=> @t2064 (=> @t2126 (= (tptp.hAPP (tptp.hAPP @t2269 @t2889) (tptp.hAPP @t2870 @t320)) @t2888)))))) % 6.71/6.99 (assume @p2264 (forall @t2873 (=> @t2277 (and @t2890 @t2872)))) % 6.71/6.99 (assume @p2265 (forall @t2873 (=> @t2277 @t2890))) % 6.71/6.99 (assume @p2266 (forall @t2892 (=> @t2277 (=> @t2064 (= @t2884 @t2891))))) % 6.71/6.99 (assume @p2267 (forall @t2278 (=> @t2277 (=> @t2064 (=> @t2126 (=> @t399 @t2893)))))) % 6.71/6.99 (assume @p2268 (forall @t2885 (=> @t2277 (=> @t2064 (=> @t351 (= @t2871 @t2891)))))) % 6.71/6.99 (assume @p2269 (forall @t140 (=> @t2859 (=> @t2064 (=> @t2126 (=> (forall @t7 (=> @t2207 (not @t2860))) (= (tptp.hAPP @t2853 @t311) (tptp.hAPP (tptp.hAPP @t2856 (tptp.hAPP (tptp.hAPP @t2269 @t2854) @t2894)) (tptp.hAPP @t2853 @t320))))))))) % 6.71/6.99 (assume @p2270 (forall @t2897 (= (tptp.hAPP @t2851 @t2896) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2851 @t2895)) @t936)))) % 6.71/6.99 (assume @p2271 (forall @t2897 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2896) (tptp.hAPP (tptp.hAPP @t1248 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2895)) @t936)))) % 6.71/6.99 (assume @p2272 (forall @t2278 (=> @t2277 (=> @t2064 (=> @t2126 (=> (forall @t7 (=> @t2207 (= @t4 @t2268))) @t2893)))))) % 6.71/6.99 (assume @p2273 (forall (@list @t2898 @t2899) (= (= @t2900 (tptp.c_Code__Numeral_OSuc__code__numeral @t2898)) (= @t2899 @t2898)))) % 6.71/6.99 (assume @p2274 (forall (@list @t2901) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2901) @t2721)))) % 6.71/6.99 (assume @p2275 (forall (@list @t2902) (not (= @t2721 (tptp.c_Code__Numeral_OSuc__code__numeral @t2902))))) % 6.71/6.99 (assume @p2276 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t2734 (tptp.c_Code__Numeral_OSuc__code__numeral @t176)) @t2724) @t176))) % 6.71/6.99 (assume @p2277 (forall @t2299 (=> @t2277 (=> @t2298 (=> @t2297 (=> @t2296 (= (tptp.hAPP @t2853 @t2293) (tptp.hAPP (tptp.hAPP @t2269 @t2904) @t2903)))))))) % 6.71/6.99 (assume @p2278 (forall @t2909 (=> @t2277 (=> @t2297 (=> @t2908 (=> @t2906 (= @t2903 @t2904))))))) % 6.71/6.99 (assume @p2279 (forall @t2909 (=> @t2277 (=> @t2297 (=> @t2908 (=> @t2906 (= @t2904 @t2903))))))) % 6.71/6.99 (assume @p2280 (forall @t69 (=> @t2726 (=> (forall @t2911 (=> (tptp.hBOOL (tptp.hAPP @t1143 @t2910)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t622 @t2910) @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP (tptp.hAPP @t1041 @t2910) @t30)) @t64))))) @t67)))) % 6.71/6.99 (assume @p2281 (forall @t2913 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t287 @t285 @t2900) @t2912))) % 6.71/6.99 (assume @p2282 (forall @t2882 (=> @t2298 (=> @t2880 @t2881)))) % 6.71/6.99 (assume @p2283 (forall @t976 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t287 @t285 @t2721) @t287))) % 6.71/6.99 (assume @p2284 (forall @t2886 (=> @t2921 (=> @t2064 (and @t2920 (=> @t432 (= @t2917 @t2916))))))) % 6.71/6.99 (assume @p2285 (forall @t1027 (=> @t2924 (= (tptp.hAPP @t2923 @t825) @t925)))) % 6.71/6.99 (assume @p2286 (forall @t2869 (=> @t2924 (= (tptp.hAPP @t2925 @t825) @t925)))) % 6.71/6.99 (assume @p2287 (forall @t2873 (=> @t2929 @t2928))) % 6.71/6.99 (assume @p2288 (forall @t2864 (=> @t2929 (=> @t2146 (= @t2916 @t2858))))) % 6.71/6.99 (assume @p2289 (forall @t2878 (=> @t2078 (= (= (tptp.hAPP @t2931 @t791) @t890) (forall @t7 (=> @t2875 (= @t5 @t890))))))) % 6.71/6.99 (assume @p2290 (forall @t2154 (=> @t2064 (= (= @t2933 @t936) (exists @t7 (and @t250 (= @t5 @t936) @t2932)))))) % 6.71/6.99 (assume @p2291 (forall @t2154 (=> @t2064 (= (= @t2933 @t1243) (exists @t7 (and @t250 @t2874 @t2932)))))) % 6.71/6.99 (assume @p2292 (forall @t2942 (=> @t2924 (=> @t185 (=> @t2941 (= (tptp.hAPP @t2940 @t2938) @t2937)))))) % 6.71/6.99 (assume @p2293 (forall @t2942 (=> @t816 (=> @t185 (=> @t2941 (= (tptp.hAPP (tptp.hAPP @t807 @t2937) @t2939) @t2938)))))) % 6.71/6.99 (assume @p2294 (forall (@list @t151 @t2) (=> (= @t2320 @t890) (= (tptp.hAPP @t2944 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t936 @t151)) (tptp.hAPP @t2944 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t890 @t151)))))) % 6.71/6.99 (assume @p2295 (forall @t2885 (=> @t2929 (=> @t2064 (=> @t674 (= @t2947 (tptp.hAPP @t2946 @t2927))))))) % 6.71/6.99 (assume @p2296 (forall (@list @t2 @t173 @t791 @t10 @t41) (=> @t2929 (=> @t2078 (=> (not (tptp.hBOOL (tptp.hAPP @t322 @t791))) (= (tptp.hAPP @t2915 (tptp.hAPP @t657 @t791)) (tptp.hAPP @t2948 (tptp.hAPP @t2915 @t791)))))))) % 6.71/6.99 (assume @p2297 (forall @t2278 (=> @t2929 (=> @t2064 (=> @t2126 (= (tptp.hAPP (tptp.hAPP @t2945 @t2951) (tptp.hAPP @t2926 @t320)) @t2950)))))) % 6.71/6.99 (assume @p2298 (forall @t140 (=> @t2921 (=> @t2064 (=> @t26 (= (tptp.hAPP @t2915 @t800) (tptp.hAPP @t2919 @t2952))))))) % 6.71/6.99 (assume @p2299 (forall @t2873 (=> @t2929 @t2953))) % 6.71/6.99 (assume @p2300 (forall @t2873 (=> @t2929 (and @t2953 @t2928)))) % 6.71/6.99 (assume @p2301 (forall (@list @t2 @t21 @t20 @t10) (=> @t2126 (=> @t26 (= (tptp.hAPP @t2931 @t800) (tptp.hAPP @t2955 @t2954)))))) % 6.71/6.99 (assume @p2302 (forall (@list @t151 @t2 @t10) (=> @t2924 (=> (= @t2320 @t925) (= (tptp.hAPP @t2936 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t936) @t151)) (tptp.hAPP @t2936 (tptp.hAPP @t999 @t151))))))) % 6.71/6.99 (assume @p2303 (forall @t2959 (=> @t2924 (=> @t720 (= @t2939 (tptp.hAPP @t2958 (tptp.hAPP @t2936 (tptp.hAPP @t2956 @t115)))))))) % 6.71/6.99 (assume @p2304 (forall @t2959 (=> @t2924 (=> @t185 (= @t2960 (tptp.hAPP @t2958 (tptp.hAPP @t2936 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t191 @t115)))))))) % 6.71/6.99 (assume @p2305 (forall @t2892 (=> @t2929 (=> @t2064 (= @t2947 @t2961))))) % 6.71/6.99 (assume @p2306 (forall @t2278 (=> @t2929 (=> @t2064 (=> @t2126 (=> @t399 @t2962)))))) % 6.71/6.99 (assume @p2307 (forall @t140 (=> @t2921 (=> @t2064 (=> @t2126 (= (tptp.hAPP @t2915 @t311) (tptp.hAPP (tptp.hAPP @t2918 (tptp.hAPP (tptp.hAPP @t2945 @t2916) @t2952)) @t2963))))))) % 6.71/6.99 (assume @p2308 (forall (@list @t2 @t21 @t173 @t10) (and (=> @t344 (= @t2964 (tptp.hAPP @t2955 @t829))) (=> @t432 (= @t2964 @t2933))))) % 6.71/6.99 (assume @p2309 (forall (@list @t2 @t20 @t21 @t10) (=> @t2064 (=> @t2126 (= (tptp.hAPP @t2931 @t311) (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP (tptp.hAPP @t1248 @t2933) @t2954)) (tptp.hAPP @t2931 @t320))))))) % 6.71/6.99 (assume @p2310 (forall @t2966 (=> @t2924 (and (=> @t717 (= @t2965 @t925)) (=> @t718 (= @t2965 (tptp.hAPP @t2940 @t216))))))) % 6.71/6.99 (assume @p2311 (forall @t2966 (=> @t2924 (and (=> @t2971 (= @t2969 @t925)) (=> (not @t2971) (= @t2969 (tptp.hAPP @t2968 @t2967))))))) % 6.71/6.99 (assume @p2312 (forall (@list @t2934 @t2 @t115 @t181 @t10) (=> @t2924 (=> (tptp.hBOOL (tptp.hAPP @t184 @t2973)) (= (tptp.hAPP @t2936 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t181 @t2972)) (tptp.hAPP @t2968 (tptp.hAPP @t2936 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2973 @t2972)))))))) % 6.71/6.99 (assume @p2313 (forall @t2885 (=> @t2929 (=> @t2064 (=> @t351 (= @t2927 @t2961)))))) % 6.71/6.99 (assume @p2314 (forall @t2886 (=> @t2929 (=> @t2064 (=> @t344 (= @t2916 (tptp.hAPP @t2948 @t2917))))))) % 6.71/6.99 (assume @p2315 (forall @t2886 (=> (tptp.class_Rings_Oring @t41) (=> @t2064 @t2920)))) % 6.71/6.99 (assume @p2316 (forall @t2977 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t41) (=> @t2126 (=> @t28 (=> (forall @t896 (=> @t895 (tptp.hBOOL (tptp.hAPP @t2976 (tptp.hAPP @t2 @t893))))) @t2975)))))) % 6.71/6.99 (assume @p2317 (forall (@list @t2978 @t2 @t21 @t10 @t41) (=> (and @t2980 (tptp.class_Rings_Osemiring__1 @t41)) (=> (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t2979 @t21)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t2316) @t2978)))) (tptp.hBOOL (tptp.hAPP @t2974 (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t41) @t1978)) @t2978))))))) % 6.71/6.99 (assume @p2318 (forall @t2299 (=> @t2929 (=> @t2298 (=> @t2297 (=> (forall @t7 (=> @t2295 @t2860)) (= (tptp.hAPP @t2915 @t2293) (tptp.hAPP (tptp.hAPP @t2945 @t2982) @t2981)))))))) % 6.71/6.99 (assume @p2319 (forall @t2278 (=> @t2929 (=> @t2064 (=> @t2126 (=> (forall @t7 (=> @t2207 (= @t4 @t2858))) @t2962)))))) % 6.71/6.99 (assume @p2320 (forall @t2977 (=> (and @t2929 @t2980) (=> @t2126 (=> @t28 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 @t853)) @t2983)) @t2975)))))) % 6.71/6.99 (assume @p2321 (forall @t2909 (=> @t2929 (=> @t2297 (=> @t2908 (=> @t2984 (= @t2982 @t2981))))))) % 6.71/6.99 (assume @p2322 (forall @t2909 (=> @t2929 (=> @t2297 (=> @t2908 (=> @t2984 (= @t2981 @t2982))))))) % 6.71/6.99 (assume @p2323 (forall @t2985 (=> (and @t2929 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t41)) (=> @t2064 (=> @t430 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t732 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t732 @t2916) @t2927)))))))) % 6.71/6.99 (assume @p2324 (forall (@list @t115 @t21 @t2 @t10) (=> (= @t2933 @t116) (exists @t7 (and @t250 @t2879))))) % 6.71/6.99 (assume @p2325 (forall (@list @t64 @t176 @t30) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t30 @t176) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t64 @t176)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t64) @t30)) (exists @t2003 (= @t30 (tptp.hAPP @t1301 (tptp.hAPP @t1029 @t2002)))))))) % 6.71/6.99 (assume @p2326 (forall @t2986 (=> @t2277 (=> @t2298 (=> (forall @t7 (=> @t729 @t2294)) (= @t2292 @t2268)))))) % 6.71/6.99 (assume @p2327 (forall @t55 (=> @t2064 (=> (=> @t431 @t2206) @t2145)))) % 6.71/6.99 (assume @p2328 (forall (@list @t220 @t60 @t2934) (=> (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t903 @t2934)) (=> @t900 (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t901 @t2934)))))) (=> @t897 (=> (tptp.hBOOL (tptp.hAPP @t1465 @t2934)) @t1494))))) % 6.71/6.99 (assume @p2329 (forall (@list @t513 @t2075 @t1 @t21 @t10 @t41) (=> @t2286 (=> @t2064 (=> (forall @t7 (=> @t250 @t2988)) (= @t2284 (tptp.hAPP (tptp.hAPP @t2987 @t513) @t21))))))) % 6.71/6.99 (assume @p2330 (forall @t2996 (=> @t2995 (=> @t1025 (=> @t2994 (=> (forall @t2993 (=> @t2305 (= (tptp.hAPP @t1 @t1231) (tptp.hAPP @t2075 (tptp.hAPP @t2 @t1231))))) (= (tptp.hAPP @t2992 @t20) (tptp.hAPP (tptp.hAPP @t2990 @t1) @t21)))))))) % 6.71/6.99 (assume @p2331 (forall (@list @t1 @t2 @t289 @t248 @t291 @t173 @t10 @t41) (=> (and @t2929 @t440) (=> @t683 (=> @t682 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t292 @t3)) (=> (tptp.hBOOL (tptp.hAPP @t731 @t289)) @t6))) (= (tptp.hAPP @t2915 @t297) (tptp.hAPP @t2926 @t296)))))))) % 6.71/6.99 (assume @p2332 (forall (@list @t151 @t2 @t115 @t181) (=> (forall @t905 (=> (and @t2997 @t2323) @t2322)) (=> @t720 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t2957) @t151)) (=> @t2319 (exists @t905 (and @t2997 @t2318 @t2317)))))))) % 6.71/6.99 (assume @p2333 (forall (@list @t209 @t85) (and (=> @t3003 (= @t2999 @t2724)) (=> (not @t3003) (= @t2999 (tptp.hAPP (tptp.hAPP @t2998 @t2724) (tptp.c_Random_Olog @t85 (tptp.hAPP (tptp.hAPP @t2718 @t209) @t85)))))))) % 6.71/6.99 (assume @p2334 (forall @t485 (=> @t1884 (= @t81 @t2388)))) % 6.71/6.99 (assume @p2335 (forall @t2249 (=> @t3004 (=> @t2148 (=> @t2142 @t2255))))) % 6.71/6.99 (assume @p2336 (forall (@list @t51 @t791 @t1 @t513 @t2 @t41 @t10) (=> @t3004 @t2307))) % 6.71/6.99 (assume @p2337 (forall @t2205 (=> @t3004 (=> @t2148 (=> @t798 (= @t2245 @t2196)))))) % 6.71/6.99 (assume @p2338 (forall @t2205 (=> @t3004 (=> @t2148 @t2247)))) % 6.71/6.99 (assume @p2339 (forall @t2249 (=> @t3004 (=> @t2148 (=> (tptp.hBOOL (tptp.hAPP @t2143 @t21)) @t2308))))) % 6.71/6.99 (assume @p2340 (forall (@list @t1436 @t943 @t208) (and (=> @t3006 (= @t3005 (tptp.hAPP (tptp.hAPP @t2734 (tptp.hAPP (tptp.hAPP @t2998 @t1436) @t208)) @t943))) (=> @t3007 (= @t3005 (tptp.hAPP (tptp.hAPP @t2734 @t208) @t943)))))) % 6.71/6.99 (assume @p2341 (forall (@list @t208 @t1411) (and (=> @t3009 (= @t3008 @t2724)) (=> (not @t3009) (= @t3008 (tptp.hAPP (tptp.hAPP @t2998 @t208) @t2724)))))) % 6.71/6.99 (assume @p2342 (forall @t746 (=> @t552 (=> @t2064 (=> @t674 (= @t2531 (tptp.hAPP (tptp.hAPP @t3010 @t51) @t21))))))) % 6.71/6.99 (assume @p2343 (forall @t746 (=> @t552 (=> @t2064 (=> @t674 (= @t2549 (tptp.hAPP (tptp.hAPP @t3011 @t51) @t21))))))) % 6.71/6.99 (assume @p2344 (forall (@list @t513 @t2 @t10 @t41) (= (tptp.hAPP @t3012 @t825) @t513))) % 6.71/6.99 (assume @p2345 (forall @t29 (=> @t2064 (= @t311 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t23 @t594) @t20) @t21))))) % 6.71/6.99 (assume @p2346 (forall @t3015 (=> @t466 (=> @t2064 (= (tptp.hAPP @t3013 @t675) (tptp.hAPP @t748 @t3014)))))) % 6.71/6.99 (assume @p2347 (forall @t3015 (=> @t460 (=> @t2064 (= (tptp.hAPP @t3016 @t675) (tptp.hAPP @t754 @t3017)))))) % 6.71/6.99 (assume @p2348 (forall @t29 (=> @t223 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t463 @t20) @t252) (tptp.hAPP (tptp.hAPP @t3011 @t20) @t21)))))) % 6.71/6.99 (assume @p2349 (forall @t29 (=> @t223 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t458 @t20) @t257) (tptp.hAPP (tptp.hAPP @t3010 @t20) @t21)))))) % 6.71/6.99 (assume @p2350 (forall (@list @t173 @t21 @t791 @t2 @t10) (=> @t2301 (=> @t2064 (= (tptp.hAPP @t791 @t675) (tptp.hAPP (tptp.hAPP @t3018 @t173) @t21)))))) % 6.71/6.99 (assume @p2351 (forall @t3019 (=> @t466 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t777) @t3014))))))) % 6.71/6.99 (assume @p2352 (forall @t3019 (=> @t460 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3017) @t778))))))) % 6.71/6.99 (assume @p2353 (forall @t55 (=> @t223 (=> @t2064 (= @t252 (tptp.hAPP (tptp.hAPP @t3011 @t147) @t21)))))) % 6.71/6.99 (assume @p2354 (forall @t55 (=> @t223 (=> @t2064 (= @t257 (tptp.hAPP (tptp.hAPP @t3010 @t150) @t21)))))) % 6.71/6.99 (assume @p2355 (forall @t2074 (=> @t2390 (=> @t2064 @t3020)))) % 6.71/6.99 (assume @p2356 (forall @t2074 (=> @t552 (=> @t2064 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t675) (tptp.hAPP (tptp.hAPP @t3011 @t173) @t21)))))) % 6.71/6.99 (assume @p2357 (forall @t2074 (=> @t552 (=> @t2064 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t675) (tptp.hAPP (tptp.hAPP @t3010 @t173) @t21)))))) % 6.71/6.99 (assume @p2358 (forall @t2200 (=> @t2199 (=> @t2064 (=> @t674 (= @t2253 (tptp.hAPP (tptp.hAPP @t3018 @t51) @t21))))))) % 6.71/6.99 (assume @p2359 (forall @t2074 (=> @t1022 (=> @t2064 (=> @t432 @t3020))))) % 6.71/6.99 (assume @p2360 (forall @t3026 (=> @t3025 (=> @t2064 (=> @t351 (= @t3024 @t3023)))))) % 6.71/6.99 (assume @p2361 (forall @t3028 (=> @t3025 (=> @t2064 (= @t3027 @t3023))))) % 6.71/6.99 (assume @p2362 (forall @t3026 (=> @t3025 (=> @t2064 (=> @t674 @t3030))))) % 6.71/6.99 (assume @p2363 (forall @t3026 (=> @t3025 (=> @t2064 (=> @t674 @t3033))))) % 6.71/6.99 (assume @p2364 (forall @t934 (=> @t3025 (= (tptp.hAPP @t53 (tptp.hAPP @t117 @t513)) (tptp.hAPP @t117 @t3031))))) % 6.71/6.99 (assume @p2365 (forall @t164 (=> @t1022 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t10 @t1019)))) % 6.71/6.99 (assume @p2366 (forall @t887 (=> @t3025 (=> @t2129 (=> @t998 @t638))))) % 6.71/6.99 (assume @p2367 (forall @t3026 (=> @t3025 (=> @t2064 (= @t3029 @t3032))))) % 6.71/6.99 (assume @p2368 (forall (@list @t97 @t21 @t513 @t2 @t41 @t10) (=> @t3025 (=> @t998 (= @t3024 @t97))))) % 6.71/6.99 (assume @p2369 (forall (@list @t513 @t21 @t2 @t41 @t10) (=> @t3025 (=> @t2064 (tptp.hBOOL (tptp.hAPP @t886 @t3024)))))) % 6.71/6.99 (assume @p2370 (forall (@list @t173 @t97 @t21 @t513 @t2 @t41 @t10) (=> @t3025 (=> @t998 (=> @t344 (exists (@list @t3034) (and (= @t97 (tptp.hAPP @t829 @t3034)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t41 @t2 @t513 @t870) @t3034))))))))) % 6.71/6.99 (assume @p2371 (forall (@list @t1961 @t21 @t51 @t513 @t2 @t41 @t10) (=> @t3025 (=> (tptp.hBOOL (tptp.hAPP @t997 @t1961)) (=> @t674 (not (forall @t1180 (=> (= @t1961 (tptp.hAPP @t53 @t282)) (not (tptp.hBOOL (tptp.hAPP @t886 @t282))))))))))) % 6.71/6.99 (assume @p2372 (forall @t3028 (=> @t3035 (=> @t2064 @t3033)))) % 6.71/6.99 (assume @p2373 (forall @t3028 (=> @t3035 (=> @t2064 @t3030)))) % 6.71/6.99 (assume @p2374 (forall (@list @t513 @t51 @t2 @t41 @t10) (=> @t3035 (= (tptp.hAPP @t53 @t3031) @t3031)))) % 6.71/6.99 (assume @p2375 (forall @t164 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t23 @t594))) % 6.71/6.99 (assume @p2376 (forall @t164 (=> @t2390 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t1019)))) % 6.71/6.99 (assume @p2377 (forall @t164 (=> @t466 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t463)))) % 6.71/6.99 (assume @p2378 (forall @t164 (=> @t460 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t458)))) % 6.71/6.99 (assume @p2379 (forall @t3036 (=> @t460 (=> @t2064 (=> @t256 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t458 @t248) @t291)) (tptp.hAPP (tptp.hAPP @t3010 @t291) @t21)))))))) % 6.71/6.99 (assume @p2380 (forall @t3036 (=> @t466 (=> @t2064 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t3011 @t291) @t21)) (tptp.hAPP (tptp.hAPP @t463 @t248) @t291)))))))) % 6.71/6.99 (assume @p2381 (forall @t2864 (=> @t3038 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t3037 @t5)))) (tptp.hBOOL (tptp.hAPP @t3037 @t2854)))))) % 6.71/6.99 (assume @p2382 (forall @t2864 (=> @t3038 (=> (forall @t7 (=> @t250 @t2983)) (tptp.hBOOL (tptp.hAPP @t2976 @t2854)))))) % 6.71/6.99 (assume @p2383 (forall (@list @t60 @t791 @t10) (=> @t2078 (=> @t2300 (=> (forall (@list @t3 @t2303) (=> @t2306 (=> (not (tptp.hBOOL (tptp.hAPP @t170 @t2303))) (=> @t2304 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t1012 @t2303))))))) @t2302))))) % 6.71/6.99 (assume @p2384 (forall @t29 (=> @t120 (=> @t430 (=> @t28 (=> @t2126 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3040 @t20)) @t3041)))))))) % 6.71/6.99 (assume @p2385 (forall @t69 (=> @t2803 (=> (forall (@list @t3042) (=> (tptp.hBOOL (tptp.hAPP @t1143 @t3042)) (tptp.hBOOL (tptp.hAPP @t33 (tptp.hAPP @t1362 @t3042))))) @t67)))) % 6.71/6.99 (assume @p2386 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t2734)) % 6.71/6.99 (assume @p2387 (forall @t164 (=> @t120 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t3039)))) % 6.71/6.99 (assume @p2388 (forall @t80 (=> @t1330 (= (tptp.hAPP (tptp.hAPP @t1262 @t3046) @t70) (tptp.hAPP (tptp.hAPP @t3044 @t3043) @t1363))))) % 6.71/6.99 (assume @p2389 (forall @t541 (=> @t68 (=> @t694 @t3049)))) % 6.71/6.99 (assume @p2390 (forall @t527 (=> @t68 (=> @t695 @t3049)))) % 6.71/6.99 (assume @p2391 (forall @t517 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t3053) @t513)) (or @t3051 @t3050))))) % 6.71/6.99 (assume @p2392 (forall @t3057 (=> @t120 (= (tptp.hBOOL (tptp.hAPP @t3054 @t3053)) (and @t3056 @t3055))))) % 6.71/6.99 (assume @p2393 (forall @t517 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3053) @t513)) (or @t515 @t514))))) % 6.71/6.99 (assume @p2394 (forall @t520 (=> @t68 (=> @t3058 @t543)))) % 6.71/6.99 (assume @p2395 (forall @t530 (=> @t68 (=> @t91 (=> @t529 (tptp.hBOOL (tptp.hAPP @t3059 (tptp.hAPP (tptp.hAPP @t3044 @t82) @t528)))))))) % 6.71/6.99 (assume @p2396 (forall @t80 (=> @t68 (=> @t67 (=> @t78 (tptp.hBOOL (tptp.hAPP @t33 @t3061))))))) % 6.71/6.99 (assume @p2397 (forall @t520 (=> @t68 (=> @t519 (=> @t521 @t3058))))) % 6.71/6.99 (assume @p2398 (forall @t77 (=> @t68 (=> @t66 (= @t3046 @t64))))) % 6.71/6.99 (assume @p2399 (forall @t69 (=> @t68 (=> @t67 (= @t3046 @t30))))) % 6.71/6.99 (assume @p2400 (forall @t541 (=> @t68 (=> @t525 @t3062)))) % 6.71/6.99 (assume @p2401 (forall @t527 (=> @t68 (=> @t526 @t3062)))) % 6.71/6.99 (assume @p2402 (forall @t517 (=> @t120 (= (tptp.hBOOL (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t3039 @t97) @t513))) @t538)))) % 6.71/6.99 (assume @p2403 (forall @t107 (=> @t120 (= @t101 (= @t3053 @t51))))) % 6.71/6.99 (assume @p2404 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t3063 @t64))))) % 6.71/6.99 (assume @p2405 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t3063 @t30))))) % 6.71/6.99 (assume @p2406 (forall @t180 (= (tptp.hAPP @t3065 @t890) @t890))) % 6.71/6.99 (assume @p2407 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t3064 @t890) @t176) @t890))) % 6.71/6.99 (assume @p2408 (forall @t3068 (=> @t3067 (=> @t246 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin @t41) @t2957) @t216) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3039 @t181) @t115))))))) % 6.71/6.99 (assume @p2409 (forall @t35 (=> @t68 (= (tptp.hAPP @t3045 @t30) @t30)))) % 6.71/6.99 (assume @p2410 (forall @t80 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3044 @t3046) @t70) @t3069)))) % 6.71/6.99 (assume @p2411 (forall @t94 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3044 @t3048) @t82) @t3071)))) % 6.71/6.99 (assume @p2412 (forall @t80 (=> @t68 (= @t3069 (tptp.hAPP @t3060 @t3072))))) % 6.71/6.99 (assume @p2413 (forall @t89 (=> @t68 (= (tptp.hAPP @t3070 (tptp.hAPP @t3047 @t82)) @t3071)))) % 6.71/6.99 (assume @p2414 (forall @t69 (=> @t68 (= (tptp.hAPP @t3045 @t3046) @t3046)))) % 6.71/6.99 (assume @p2415 (forall @t485 (=> @t68 (= (tptp.hAPP @t3047 @t3048) @t3048)))) % 6.71/6.99 (assume @p2416 (forall @t69 (=> @t68 (= @t3046 @t3073)))) % 6.71/6.99 (assume @p2417 (forall @t485 (=> @t68 (= @t3048 (tptp.hAPP @t3070 @t81))))) % 6.71/6.99 (assume @p2418 (forall @t489 (=> @t68 (= (tptp.hAPP @t3047 @t81) @t81)))) % 6.71/6.99 (assume @p2419 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t3064 @t198) @t177) (tptp.hAPP tptp.c_Nat_OSuc @t3074)))) % 6.71/6.99 (assume @p2420 (forall @t164 (=> (and @t460 @t120) (= @t458 @t3039)))) % 6.71/6.99 (assume @p2421 (forall @t80 (=> @t579 (= (tptp.hAPP (tptp.hAPP @t840 @t3046) @t70) (tptp.hAPP (tptp.hAPP @t3044 @t3076) @t3075))))) % 6.71/6.99 (assume @p2422 (forall (@list @t176 @t209 @t193) (= (tptp.hAPP (tptp.hAPP @t3064 (tptp.hAPP @t914 @t209)) @t958) (tptp.hAPP (tptp.hAPP @t911 @t3074) @t209)))) % 6.71/6.99 (assume @p2423 (forall @t3082 (=> @t3081 (and (=> @t3079 (= @t3078 @t3077)) (=> @t3080 (= @t3078 @t1965)))))) % 6.71/6.99 (assume @p2424 (forall @t3015 (=> @t120 (=> @t2064 (= (tptp.hAPP @t3084 @t675) (tptp.hAPP @t3086 @t3085)))))) % 6.71/6.99 (assume @p2425 (forall @t462 (=> (and @t461 @t120) (=> @t246 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3039 @t21) @t20))) @t457)))))) % 6.71/6.99 (assume @p2426 (forall (@list @t289 @t291 @t248 @t10) (=> @t120 (= (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP @t133 @t248)) @t619) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t291 @t3088))))) % 6.71/6.99 (assume @p2427 (forall (@list @t289 @t248 @t173 @t10) (=> @t120 (= (tptp.hAPP @t3089 (tptp.hAPP @t133 @t289)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t173 @t3088))))) % 6.71/6.99 (assume @p2428 (forall @t3019 (=> @t120 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3085) (tptp.hAPP @t3086 @t248)))))))) % 6.71/6.99 (assume @p2429 (forall @t2074 (=> @t120 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP @t3090 @t173))))))) % 6.71/6.99 (assume @p2430 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hBOOL (tptp.hAPP @t3090 @t51)) (exists @t7 (and @t250 (tptp.hBOOL (tptp.hAPP @t249 @t51)))))))))) % 6.71/6.99 (assume @p2431 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hBOOL (tptp.hAPP @t100 @t3041)) @t2399)))))) % 6.71/6.99 (assume @p2432 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t3041) @t51)) (exists @t7 (and @t250 (tptp.hBOOL (tptp.hAPP @t731 @t51)))))))))) % 6.71/6.99 (assume @p2433 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hBOOL (tptp.hAPP @t626 @t3041)) (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t626 @t3)))))))))) % 6.71/6.99 (assume @p2434 (forall @t712 (= @t3091 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t176) @t193)))) % 6.71/6.99 (assume @p2435 (forall @t164 (=> @t440 (= @t3039 (tptp.c_Orderings_Oord_Omin @t10 @t99))))) % 6.71/6.99 (assume @p2436 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (and (=> @t2197 @t3094) (=> @t2198 (= @t3093 @t3092)))))))) % 6.71/6.99 (assume @p2437 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (and (=> @t2197 (= @t3096 @t51)) (=> @t2198 (= @t3096 @t3095)))))))) % 6.71/6.99 (assume @p2438 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 (= @t3098 @t3097)))))) % 6.71/6.99 (assume @p2439 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t3064)) % 6.71/6.99 (assume @p2440 (forall @t204 (=> @t120 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t745) @t51)))) % 6.71/6.99 (assume @p2441 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (= @t3099 @t3096)))))) % 6.71/6.99 (assume @p2442 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3093) @t51))))))) % 6.71/6.99 (assume @p2443 (forall @t204 (=> @t120 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t745) @t51)))) % 6.71/6.99 (assume @p2444 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 @t3100))))) % 6.71/6.99 (assume @p2445 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (= @t3101 @t3093)))))) % 6.71/6.99 (assume @p2446 (forall @t55 (=> @t120 (=> @t2064 (= @t3096 @t3041))))) % 6.71/6.99 (assume @p2447 (forall @t55 (=> @t120 (=> @t2064 (= @t3093 @t3041))))) % 6.71/6.99 (assume @p2448 (forall @t746 (=> @t120 (=> @t2064 @t3103)))) % 6.71/6.99 (assume @p2449 (forall @t29 (=> @t120 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t3039 @t3104) @t3096) @t3096))))))) % 6.71/6.99 (assume @p2450 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t3107))))))) % 6.71/6.99 (assume @p2451 (forall @t3111 (=> @t120 (=> @t3110 (=> @t3109 (=> @t2544 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3108) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t2083))))))))) % 6.71/6.99 (assume @p2452 (forall @t2074 (=> @t120 (=> @t2064 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t675) @t3112))))) % 6.71/6.99 (assume @p2453 (forall @t746 (=> @t120 (=> @t2064 @t3113)))) % 6.71/6.99 (assume @p2454 (forall @t29 (=> @t120 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t3039 @t3114) @t3093) @t3093))))))) % 6.71/6.99 (assume @p2455 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t3117))))))) % 6.71/6.99 (assume @p2456 (forall @t2074 (=> @t120 (=> @t2064 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t675) @t3112))))) % 6.71/6.99 (assume @p2457 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 @t3103))))) % 6.71/6.99 (assume @p2458 (forall @t746 (=> @t120 (=> @t2064 (and (=> @t2197 (= @t3102 @t51)) (=> @t2198 (= @t3102 @t3095))))))) % 6.71/6.99 (assume @p2459 (forall @t29 (=> @t120 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t3039 @t3106) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t320)) @t3105))))))) % 6.71/6.99 (assume @p2460 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t3107)))))))) % 6.71/6.99 (assume @p2461 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 (= @t3102 @t3097)))))) % 6.71/6.99 (assume @p2462 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 @t3113))))) % 6.71/6.99 (assume @p2463 (forall @t746 (=> @t120 (=> @t2064 (and (=> @t2197 (= @t3098 @t51)) (=> @t2198 (= @t3098 @t3092))))))) % 6.71/6.99 (assume @p2464 (forall @t29 (=> @t120 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t3039 @t3116) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t320)) @t3115))))))) % 6.71/6.99 (assume @p2465 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t3117)))))))) % 6.71/6.99 (assume @p2466 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 (=> @t3119 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3096) @t21)))))))) % 6.71/6.99 (assume @p2467 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 (=> @t3119 @t3100)))))) % 6.71/6.99 (assume @p2468 (forall @t2547 (=> @t120 (=> @t3120 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t1071)) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t2542)))))))) % 6.71/6.99 (assume @p2469 (forall @t2547 (=> @t120 (=> @t3120 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 @t3108) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t2542)))))))) % 6.71/6.99 (assume @p2470 (forall @t3123 (=> @t963 (=> @t2298 (=> @t3122 (= (tptp.hAPP @t505 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t728)) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3121))))))) % 6.71/6.99 (assume @p2471 (forall @t3123 (=> @t963 (=> @t2298 (=> @t3122 (= (tptp.hAPP @t505 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t728)) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3121))))))) % 6.71/6.99 (assume @p2472 (forall @t3036 (=> @t120 (=> @t2064 (=> @t256 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3087 @t291)) (tptp.hAPP (tptp.hAPP @t3083 @t291) @t21)))))))) % 6.71/6.99 (assume @p2473 (forall @t746 (=> @t120 (=> @t2064 (=> (forall @t1180 (=> @t3125 (tptp.hBOOL (tptp.hAPP @t100 @t282)))) (=> @t351 @t3094)))))) % 6.71/6.99 (assume @p2474 (forall @t204 (=> @t120 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t745) @t51)))) % 6.71/6.99 (assume @p2475 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (tptp.hBOOL (tptp.hAPP @t100 @t3126))))))) % 6.71/6.99 (assume @p2476 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 @t3127))))) % 6.71/6.99 (assume @p2477 (forall @t3111 (=> @t120 (=> @t3110 (=> @t3109 (=> @t2544 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t2083)) @t3128)))))))) % 6.71/6.99 (assume @p2478 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (and (=> @t2197 @t3132) (=> @t2198 (= @t3126 @t3131)))))))) % 6.71/6.99 (assume @p2479 (forall @t746 (=> @t120 (=> @t2064 (=> (forall @t1180 (=> @t3125 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t282) @t51)))) (=> @t351 @t3132)))))) % 6.71/6.99 (assume @p2480 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 (= @t3135 @t3134)))))) % 6.71/6.99 (assume @p2481 (forall @t29 (=> @t120 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t3129 @t3138) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t320)) @t3137))))))) % 6.71/6.99 (assume @p2482 (forall @t546 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3044 @t3141) @t30) (tptp.hAPP (tptp.hAPP @t3139 @t3073) (tptp.hAPP (tptp.hAPP @t3044 @t70) @t30)))))) % 6.71/6.99 (assume @p2483 (forall @t546 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3139 @t3061) @t30) (tptp.hAPP (tptp.hAPP @t3044 @t3142) (tptp.hAPP (tptp.hAPP @t3139 @t70) @t30)))))) % 6.71/6.99 (assume @p2484 (forall @t80 (=> @t68 (= @t3144 @t3143)))) % 6.71/6.99 (assume @p2485 (forall @t80 (=> @t68 (= @t3149 @t3148)))) % 6.71/6.99 (assume @p2486 (forall @t69 (=> @t68 (= (tptp.hAPP @t3045 @t3147) @t30)))) % 6.71/6.99 (assume @p2487 (forall @t69 (=> @t68 (= (tptp.hAPP @t3145 @t3046) @t30)))) % 6.71/6.99 (assume @p2488 (forall @t164 (=> @t120 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t3129)))) % 6.71/6.99 (assume @p2489 (forall @t80 (=> @t1330 (= (tptp.hAPP (tptp.hAPP @t1262 @t3147) @t70) (tptp.hAPP (tptp.hAPP @t3139 @t3043) @t1363))))) % 6.71/6.99 (assume @p2490 (forall @t522 (=> @t68 (=> @t691 @t3152)))) % 6.71/6.99 (assume @p2491 (forall @t520 (=> @t68 (=> @t692 @t3152)))) % 6.71/6.99 (assume @p2492 (forall @t517 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t3153) @t513)) (and @t3051 @t3050))))) % 6.71/6.99 (assume @p2493 (forall @t3057 (=> @t120 (= (tptp.hBOOL (tptp.hAPP @t3054 @t3153)) (or @t3056 @t3055))))) % 6.71/6.99 (assume @p2494 (forall @t3057 (=> @t120 (= (tptp.hBOOL (tptp.hAPP @t789 @t3153)) (or (tptp.hBOOL (tptp.hAPP @t789 @t51)) (tptp.hBOOL (tptp.hAPP @t789 @t97))))))) % 6.71/6.99 (assume @p2495 (forall @t532 (=> @t68 (=> @t3155 @t531)))) % 6.71/6.99 (assume @p2496 (forall @t530 (=> @t68 (=> @t91 (=> @t529 (tptp.hBOOL (tptp.hAPP @t3154 (tptp.hAPP (tptp.hAPP @t3139 @t82) @t528)))))))) % 6.71/6.99 (assume @p2497 (forall @t75 (=> @t68 (=> @t66 (=> @t72 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t3141) @t30))))))) % 6.71/6.99 (assume @p2498 (forall @t527 (=> @t68 (=> @t526 (=> @t525 @t3155))))) % 6.71/6.99 (assume @p2499 (forall @t77 (=> @t68 (=> @t66 (= @t3147 @t30))))) % 6.71/6.99 (assume @p2500 (forall @t69 (=> @t68 (=> @t67 (= @t3147 @t64))))) % 6.71/6.99 (assume @p2501 (forall @t522 (=> @t68 (=> @t521 @t3156)))) % 6.71/6.99 (assume @p2502 (forall @t520 (=> @t68 (=> @t519 @t3156)))) % 6.71/6.99 (assume @p2503 (forall @t517 (=> @t120 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3153) @t513)) @t516)))) % 6.71/6.99 (assume @p2504 (forall @t107 (=> @t120 (= @t101 (= @t3153 @t97))))) % 6.71/6.99 (assume @p2505 (forall @t77 (=> @t68 (tptp.hBOOL (tptp.hAPP @t65 @t3147))))) % 6.71/6.99 (assume @p2506 (forall @t69 (=> @t68 (tptp.hBOOL (tptp.hAPP @t33 @t3147))))) % 6.71/6.99 (assume @p2507 (forall @t180 (= (tptp.hAPP @t3158 @t890) @t176))) % 6.71/6.99 (assume @p2508 (forall @t180 (= (tptp.hAPP (tptp.hAPP @t3157 @t890) @t176) @t176))) % 6.71/6.99 (assume @p2509 (forall @t3068 (=> @t3067 (=> @t246 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax @t41) @t2957) @t216) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3129 @t181) @t115))))))) % 6.71/6.99 (assume @p2510 (forall @t35 (=> @t68 (= (tptp.hAPP @t3145 @t30) @t30)))) % 6.71/6.99 (assume @p2511 (forall @t164 (=> (and @t466 @t120) (= @t463 @t3129)))) % 6.71/6.99 (assume @p2512 (forall @t80 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3139 @t3147) @t70) @t3159)))) % 6.71/6.99 (assume @p2513 (forall @t94 (=> @t68 (= (tptp.hAPP (tptp.hAPP @t3139 @t3151) @t82) @t3161)))) % 6.71/6.99 (assume @p2514 (forall @t80 (=> @t68 (= @t3159 (tptp.hAPP @t3140 @t3146))))) % 6.71/6.99 (assume @p2515 (forall @t89 (=> @t68 (= (tptp.hAPP @t3160 (tptp.hAPP @t3150 @t82)) @t3161)))) % 6.71/6.99 (assume @p2516 (forall @t69 (=> @t68 (= (tptp.hAPP @t3145 @t3147) @t3147)))) % 6.71/6.99 (assume @p2517 (forall @t485 (=> @t68 (= (tptp.hAPP @t3150 @t3151) @t3151)))) % 6.71/6.99 (assume @p2518 (forall @t69 (=> @t68 (= @t3147 @t3142)))) % 6.71/6.99 (assume @p2519 (forall @t485 (=> @t68 (= @t3151 (tptp.hAPP @t3160 @t81))))) % 6.71/6.99 (assume @p2520 (forall @t489 (=> @t68 (= (tptp.hAPP @t3150 @t81) @t81)))) % 6.71/6.99 (assume @p2521 (forall @t197 (= (tptp.hAPP (tptp.hAPP @t3157 @t198) @t177) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3157 @t193) @t176))))) % 6.71/6.99 (assume @p2522 (forall @t80 (=> @t579 (= (tptp.hAPP (tptp.hAPP @t840 @t3147) @t70) (tptp.hAPP (tptp.hAPP @t3139 @t3076) @t3075))))) % 6.71/6.99 (assume @p2523 (forall @t3082 (=> @t3081 (and (=> @t3079 (= @t3162 @t1965)) (=> @t3080 (= @t3162 @t3077)))))) % 6.71/6.99 (assume @p2524 (forall @t80 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t3143) @t3144))))) % 6.71/6.99 (assume @p2525 (forall @t80 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t3149) @t3148))))) % 6.71/6.99 (assume @p2526 (forall @t69 (=> @t3163 (= (tptp.hAPP @t447 @t3147) (tptp.hAPP (tptp.hAPP @t3044 @t448) @t469))))) % 6.71/6.99 (assume @p2527 (forall @t69 (=> @t3163 (= (tptp.hAPP @t447 @t3046) (tptp.hAPP (tptp.hAPP @t3139 @t448) @t469))))) % 6.71/6.99 (assume @p2528 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t1248 @t920) @t193) (tptp.hAPP @t3158 @t193)))) % 6.71/6.99 (assume @p2529 (forall @t3015 (=> @t120 (=> @t2064 (= (tptp.hAPP @t3164 @t675) (tptp.hAPP @t3166 @t3165)))))) % 6.71/6.99 (assume @p2530 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (= @t3167 @t3126)))))) % 6.71/6.99 (assume @p2531 (forall @t462 (=> (and @t467 @t120) (=> @t246 (tptp.hBOOL (tptp.hAPP @t465 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3129 @t21) @t20)))))))) % 6.71/6.99 (assume @p2532 (forall @t298 (=> @t120 (= (tptp.hAPP @t3089 @t619) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3168 @t3088))))) % 6.71/6.99 (assume @p2533 (forall @t298 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t264 @t297) @t296) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t3168) @t3088))))) % 6.71/6.99 (assume @p2534 (forall @t298 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t264 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t173 @t248)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t291 @t289)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t3168 @t3088))))) % 6.71/6.99 (assume @p2535 (forall @t298 (=> @t120 (= (tptp.hAPP (tptp.hAPP @t264 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t173 @t248)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t291 @t289)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t3168 @t3088))))) % 6.71/6.99 (assume @p2536 (forall (@list @t289 @t291 @t173 @t10) (=> @t120 (= (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP @t130 @t173)) @t619) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3168 @t289))))) % 6.71/6.99 (assume @p2537 (forall @t662 (=> @t120 (= (tptp.hAPP @t3089 (tptp.hAPP @t130 @t291)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t3168 @t248))))) % 6.71/6.99 (assume @p2538 (forall @t55 (=> @t120 (=> @t2064 (= @t3126 @t3169))))) % 6.71/6.99 (assume @p2539 (forall @t3019 (=> @t120 (=> @t2064 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3166 @t248)) @t3165))))))) % 6.71/6.99 (assume @p2540 (forall @t746 (=> @t120 (=> @t2064 @t3170)))) % 6.71/6.99 (assume @p2541 (forall @t29 (=> @t120 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t3129 @t3136) @t3126) @t3126))))))) % 6.71/6.99 (assume @p2542 (forall @t2074 (=> @t120 (=> @t2064 (=> @t344 (= (tptp.hAPP @t3166 @t3096) @t173)))))) % 6.71/6.99 (assume @p2543 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t3171))))))) % 6.71/6.99 (assume @p2544 (forall @t2074 (=> @t120 (=> @t2064 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t675) @t3172))))) % 6.71/6.99 (assume @p2545 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 @t3170))))) % 6.71/6.99 (assume @p2546 (forall @t746 (=> @t120 (=> @t2064 (and (=> @t2197 (= @t3135 @t51)) (=> @t2198 (= @t3135 @t3131))))))) % 6.71/6.99 (assume @p2547 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t3171)))))))) % 6.71/6.99 (assume @p2548 (forall @t164 (=> @t440 (= @t3129 (tptp.c_Orderings_Oord_Omax @t10 @t99))))) % 6.71/6.99 (assume @p2549 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 (=> @t3174 @t3127)))))) % 6.71/6.99 (assume @p2550 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3096) @t3175))))))) % 6.71/6.99 (assume @p2551 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (and (=> @t2197 (= @t3175 @t51)) (=> @t2198 (= @t3175 @t3176)))))))) % 6.71/6.99 (assume @p2552 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t3157)) % 6.71/6.99 (assume @p2553 (forall @t746 (=> @t120 (=> @t2064 (=> @t351 (= @t3177 @t3175)))))) % 6.71/6.99 (assume @p2554 (forall @t204 (=> @t120 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t745) @t51)))) % 6.71/6.99 (assume @p2555 (forall @t55 (=> @t120 (=> @t2064 (= @t3175 @t3169))))) % 6.71/6.99 (assume @p2556 (forall @t746 (=> @t120 (=> @t2064 @t3179)))) % 6.71/6.99 (assume @p2557 (forall @t29 (=> @t120 (=> @t2064 (=> @t2222 (=> @t26 (= (tptp.hAPP (tptp.hAPP @t3129 @t3180) @t3175) @t3175))))))) % 6.71/6.99 (assume @p2558 (forall @t2074 (=> @t120 (=> @t2064 (=> @t344 (= (tptp.hAPP @t3086 @t3175) @t173)))))) % 6.71/6.99 (assume @p2559 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 @t3183))))))) % 6.71/6.99 (assume @p2560 (forall @t2074 (=> @t120 (=> @t2064 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t675) @t3172))))) % 6.71/6.99 (assume @p2561 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 @t3179))))) % 6.71/6.99 (assume @p2562 (forall @t746 (=> @t120 (=> @t2064 (and (=> @t2197 (= @t3178 @t51)) (=> @t2198 (= @t3178 @t3176))))))) % 6.71/6.99 (assume @p2563 (forall @t29 (=> @t120 (=> @t2064 (=> @t2126 (=> @t2219 (= (tptp.hAPP (tptp.hAPP @t3129 @t3182) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t320)) @t3181))))))) % 6.71/6.99 (assume @p2564 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (=> @t399 @t3183)))))))) % 6.71/6.99 (assume @p2565 (forall @t746 (=> @t120 (=> @t2064 (=> @t674 (= @t3178 @t3134)))))) % 6.71/6.99 (assume @p2566 (forall @t55 (=> @t120 (=> @t2064 (=> @t430 (=> @t3174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t3175) @t21)))))))) % 6.71/6.99 (assume @p2567 (forall @t2547 (=> @t120 (=> @t3184 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t1071)) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t2542)))))))) % 6.71/6.99 (assume @p2568 (forall @t2547 (=> @t120 (=> @t3184 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t2075 @t3128) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t2542)))))))) % 6.71/6.99 (assume @p2569 (forall @t3036 (=> @t120 (=> @t2064 (=> @t251 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t3133 @t291) @t21)) (tptp.hAPP (tptp.hAPP @t3129 @t248) @t291)))))))) % 6.71/6.99 (assume @p2570 (forall (@list @t248 @t173 @t3185 @t3186 @t41 @t10) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t10 @t41 @t3186 @t3185 @t3188) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t3187 (tptp.hAPP @t3185 @t248))) @t936)))) % 6.71/6.99 (assume @p2571 (forall @t3192 (= (tptp.hAPP @t2648 (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) @t3190) (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 @t3191 tptp.tc_Nat_Onat) @t1525) @t1511)) @t289))) @t977)) (tptp.hAPP (tptp.hAPP @t1525 @t1529) (tptp.hAPP @t3190 (tptp.hAPP @t3190 (tptp.hAPP (tptp.hAPP @t1525 (tptp.hAPP @t1511 @t3189)) @t289))))))) % 6.71/6.99 (assume @p2572 (forall @t1666 (=> @t3200 (and (=> @t3197 (= @t3195 (tptp.hAPP @t3199 @t3196))) (=> (not @t3197) (= @t3195 (tptp.hAPP @t3194 (tptp.c_Divides_OnegDivAlg @t1538 @t3193)))))))) % 6.71/6.99 (assume @p2573 (forall (@list @t513 @t1 @t2075 @t41 @t21 @t10 @t2989) (=> (tptp.class_Groups_Oab__semigroup__mult @t2989) (=> @t2064 (=> (tptp.c_Fun_Oinj__on @t10 @t41 @t2075 @t21) (= (tptp.hAPP (tptp.hAPP @t3205 @t513) (tptp.hAPP @t2076 @t21)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3203 (tptp.hAPP @t3201 @t2075)) @t513) @t21))))))) % 6.71/6.99 (assume @p2574 (forall @t3213 (=> @t3212 (=> @t344 @t3208)))) % 6.71/6.99 (assume @p2575 (forall @t3213 (=> @t3212 (=> (not @t3208) @t432)))) % 6.71/6.99 (assume @p2576 (forall @t3219 (=> @t3218 (=> @t344 @t3214)))) % 6.71/6.99 (assume @p2577 (forall @t3219 (=> @t3218 (=> (not @t3214) @t432)))) % 6.71/6.99 (assume @p2578 (forall @t3227 (=> @t3226 (=> (not @t3222) (not @t3221))))) % 6.71/6.99 (assume @p2579 (forall @t3227 (=> @t3226 (=> @t3221 @t3222)))) % 6.71/6.99 (assume @p2580 (forall (@list @t2989 @t41 @t291 @t248 @t20 @t21 @t173 @t10) (=> @t344 (=> @t3214 @t3229)))) % 6.71/6.99 (assume @p2581 (forall (@list @t21 @t41 @t3230 @t10) (=> (exists @t7 (and @t3234 @t3233)) (tptp.hBOOL (tptp.hAPP @t2077 @t3231))))) % 6.71/6.99 (assume @p2582 (forall (@list @t41 @t248 @t20 @t21 @t173 @t10) (=> @t344 (=> @t3208 @t3235)))) % 6.71/6.99 (assume @p2583 (forall @t3237 (=> @t344 (=> @t3236 (tptp.hBOOL (tptp.hAPP @t820 @t2094)))))) % 6.71/6.99 (assume @p2584 (forall @t827 (=> @t1899 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t1897 @t3241)) @t3240))))) % 6.71/6.99 (assume @p2585 (forall @t827 (=> @t1899 (tptp.hBOOL (tptp.hAPP @t987 @t3240))))) % 6.71/6.99 (assume @p2586 (forall @t3245 (=> @t3244 (= (tptp.hAPP (tptp.hAPP @t394 @t3243) @t3242) @t3242)))) % 6.71/6.99 (assume @p2587 (forall @t3253 (and (=> @t3251 (= @t3250 @t825)) (=> @t3252 (= @t3250 @t3248))))) % 6.71/6.99 (assume @p2588 (forall @t3253 (and (=> @t3251 (= @t3260 @t825)) (=> @t3252 (= @t3260 @t3254))))) % 6.71/6.99 (assume @p2589 (forall @t3253 (and (=> @t3251 (= @t3248 @t21)) (=> @t3252 (= @t3248 @t3250))))) % 6.71/6.99 (assume @p2590 (forall @t3253 (and (=> @t3251 (= @t3254 @t20)) (=> @t3252 (= @t3254 @t3260))))) % 6.71/6.99 (assume @p2591 (forall @t3262 (= (tptp.hAPP (tptp.hAPP @t2223 @t3261) @t20) (tptp.hAPP (tptp.hAPP @t269 @t3206) @t2225)))) % 6.71/6.99 (assume @p2592 (forall @t3270 (= (tptp.hAPP @t3263 @t3269) (tptp.hAPP (tptp.hAPP @t269 @t3264) (tptp.hAPP @t3263 @t20))))) % 6.71/6.99 (assume @p2593 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t2223 @t847) @t2083) (tptp.hAPP (tptp.hAPP @t269 (tptp.hAPP @t2224 @t2083)) (tptp.hAPP @t3271 @t2083))))) % 6.71/6.99 (assume @p2594 (forall @t29 (= (tptp.hAPP @t310 @t238) (tptp.hAPP (tptp.hAPP @t3273 @t20) @t310)))) % 6.71/6.99 (assume @p2595 (forall @t3278 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t269 @t3277) @t3276) @t51)) (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP (tptp.hAPP @t269 @t3274) @t728)))))) % 6.71/6.99 (assume @p2596 (forall @t3284 (= @t3283 @t3281))) % 6.71/6.99 (assume @p2597 (forall @t3284 (= @t3287 @t3285))) % 6.71/6.99 (assume @p2598 (forall @t3288 (= @t3281 @t3283))) % 6.71/6.99 (assume @p2599 (forall @t3291 (= (tptp.hAPP @t355 @t3290) (tptp.hAPP @t3289 (tptp.hAPP (tptp.hAPP @t3282 @t355) @t21))))) % 6.71/6.99 (assume @p2600 (forall @t3292 (= @t3285 @t3287))) % 6.71/6.99 (assume @p2601 (forall @t3301 (= (tptp.hAPP (tptp.hAPP @t269 @t3290) (tptp.hAPP @t3299 @t20)) (tptp.hAPP @t3289 (tptp.hAPP (tptp.hAPP @t3300 @t3299) (tptp.hAPP (tptp.hAPP @t3296 (tptp.hAPP @t3295 @t3267)) @t20)))))) % 6.71/6.99 (assume @p2602 (forall @t3316 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3315 @t3313) @t3312) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3307 (tptp.hAPP (tptp.hAPP @t3302 @t3274) @t728)))))) % 6.71/6.99 (assume @p2603 (forall @t3272 (= (tptp.hAPP (tptp.hAPP @t3223 @t847) @t2083) (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP @t3224 @t2083)) (tptp.hAPP (tptp.hAPP @t3223 @t20) @t2083))))) % 6.71/6.99 (assume @p2604 (forall @t3284 (= (tptp.hAPP @t3279 @t3321) (tptp.hAPP (tptp.hAPP @t264 (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t3319)) (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t3318))))) % 6.71/6.99 (assume @p2605 (forall (@list @t151 @t2083 @t115 @t10) (= (tptp.hAPP @t3326 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t23 tptp.tc_Nat_Onat) @t2083) @t3325)) (tptp.hAPP (tptp.hAPP @t3322 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t151 @t1288)) @t2083)))) % 6.71/6.99 (assume @p2606 (forall @t3253 (and (=> @t3251 (= @t3329 @t858)) (=> @t3252 (= @t3329 @t3328))))) % 6.71/6.99 (assume @p2607 (forall @t3253 (and (=> @t3251 (= @t3333 @t858)) (=> @t3252 (= @t3333 @t3331))))) % 6.71/6.99 (assume @p2608 (forall @t3253 (and (=> @t3251 (= @t3328 @t21)) (=> @t3252 (= @t3328 @t3329))))) % 6.71/6.99 (assume @p2609 (forall @t3253 (and (=> @t3251 (= @t3331 @t20)) (=> @t3252 (= @t3331 @t3333))))) % 6.71/6.99 (assume @p2610 (forall @t29 (= (tptp.hAPP @t319 @t259) (tptp.hAPP @t3335 @t319)))) % 6.71/6.99 (assume @p2611 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t264 @t259) @t21) (tptp.hAPP @t3335 (tptp.hAPP (tptp.hAPP @t3336 @t264) @t21))))) % 6.71/6.99 (assume @p2612 (forall @t3301 (= (tptp.hAPP (tptp.hAPP @t264 @t3264) (tptp.hAPP @t3338 @t20)) (tptp.hAPP @t3263 (tptp.hAPP (tptp.hAPP @t3300 @t3338) (tptp.hAPP (tptp.hAPP @t3296 (tptp.hAPP @t3295 @t3320)) @t20)))))) % 6.71/6.99 (assume @p2613 (forall @t3292 (= @t3342 @t3340))) % 6.71/6.99 (assume @p2614 (forall @t3291 (= (tptp.hAPP @t360 @t3264) (tptp.hAPP @t3263 (tptp.hAPP (tptp.hAPP @t3282 @t360) @t21))))) % 6.71/6.99 (assume @p2615 (forall @t3288 (= @t3344 @t3343))) % 6.71/6.99 (assume @p2616 (forall @t3284 (= @t3340 @t3342))) % 6.71/6.99 (assume @p2617 (forall @t3284 (= @t3343 @t3344))) % 6.71/6.99 (assume @p2618 (forall @t3262 (= (tptp.hAPP (tptp.hAPP @t3223 @t3261) @t20) (tptp.hAPP (tptp.hAPP @t264 @t3206) @t3225)))) % 6.71/6.99 (assume @p2619 (forall @t3245 (=> @t3244 (= (tptp.hAPP (tptp.hAPP @t398 @t3243) @t3231) @t3231)))) % 6.71/6.99 (assume @p2620 (forall @t3278 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t264 @t3277) @t3276) @t51)) (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP (tptp.hAPP @t264 @t3274) @t728)))))) % 6.71/6.99 (assume @p2621 (forall @t3270 (= (tptp.hAPP @t3289 @t3321) (tptp.hAPP (tptp.hAPP @t264 @t3290) (tptp.hAPP @t3289 @t20))))) % 6.71/6.99 (assume @p2622 (forall @t3316 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3346 @t3313) @t3312) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3307 (tptp.hAPP (tptp.hAPP @t3345 @t3274) @t728)))))) % 6.71/6.99 (assume @p2623 (forall @t3349 (=> @t2924 (= (tptp.hAPP @t2936 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1290 @t1288)) (tptp.hAPP @t3348 @t666))))) % 6.71/6.99 (assume @p2624 (forall @t3354 (= (tptp.hAPP @t1511 @t3353) @t3352))) % 6.71/6.99 (assume @p2625 (forall @t827 (=> (and @t2867 @t1780) (= (tptp.hAPP @t1837 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t41 tptp.tc_Int_Oint) @t2) @t21)) (tptp.hAPP (tptp.hAPP @t2865 @t3355) @t21))))) % 6.71/6.99 (assume @p2626 (forall @t3360 (=> @t2277 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t2852 @t3359) @t21) (tptp.hAPP @t2887 (tptp.hAPP (tptp.hAPP @t2852 @t2075) @t21))))))) % 6.71/6.99 (assume @p2627 (forall @t3366 (=> @t2867 (= (tptp.hAPP (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t3365 @t3364) @t1)) @t21) (tptp.hAPP (tptp.hAPP @t1019 @t3361) (tptp.hAPP @t2868 @t21)))))) % 6.71/6.99 (assume @p2628 (forall @t827 (=> @t2799 (= (tptp.hAPP @t1897 @t3361) (tptp.hAPP (tptp.hAPP @t2865 @t3239) @t21))))) % 6.71/6.99 (assume @p2629 (forall @t3368 (=> @t2867 (= (tptp.hAPP (tptp.hAPP @t2865 (tptp.hAPP @t3367 @t1322)) @t21) @t1322)))) % 6.71/6.99 (assume @p2630 (forall @t2985 (=> (tptp.class_Fields_Ofield__inverse__zero @t41) (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t2852 (tptp.hAPP (tptp.hAPP @t3358 (tptp.hAPP (tptp.hAPP @t3357 @t2856) @t2)) @t1)) @t21) (tptp.hAPP @t2857 @t2871)))))) % 6.71/6.99 (assume @p2631 (forall @t3288 (= @t3370 @t3369))) % 6.71/6.99 (assume @p2632 (forall @t3284 (= @t3369 @t3370))) % 6.71/6.99 (assume @p2633 (forall @t3284 (= @t3372 @t3371))) % 6.71/6.99 (assume @p2634 (forall @t3292 (= @t3371 @t3372))) % 6.71/6.99 (assume @p2635 (forall @t164 (tptp.c_Fun_Oinj__on @t10 @t23 @t3374 @t165))) % 6.71/6.99 (assume @p2636 (forall @t3378 (and (=> @t166 (= @t3376 @t825)) (=> @t430 @t3377)))) % 6.71/6.99 (assume @p2637 (forall @t3381 (=> @t3380 (= (tptp.hAPP @t2093 @t3379) (tptp.hAPP @t831 @t2094))))) % 6.71/6.99 (assume @p2638 (forall @t3384 (= @t3225 @t3383))) % 6.71/6.99 (assume @p2639 (forall @t3385 (= @t3383 @t3225))) % 6.71/6.99 (assume @p2640 (forall @t3388 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t10 @t3387) @t3386) @t3386))) % 6.71/6.99 (assume @p2641 (forall (@list @t21 @t1 @t2989 @t2 @t10 @t41) (= (tptp.hAPP @t794 (tptp.hAPP @t3390 @t21)) (tptp.hAPP (tptp.c_Set_Oimage @t2989 @t10 (tptp.hAPP (tptp.hAPP @t3389 @t2) @t1)) @t21)))) % 6.71/6.99 (assume @p2642 (forall @t3393 (= (tptp.hAPP @t3224 @t3392) (tptp.hAPP (tptp.hAPP @t3298 @t3391) @t20)))) % 6.71/6.99 (assume @p2643 (forall @t3397 (= (tptp.hAPP (tptp.hAPP @t3223 @t3396) @t20) (tptp.hAPP @t3395 @t3394)))) % 6.71/6.99 (assume @p2644 (forall @t3381 (=> @t3380 (= (tptp.hAPP @t3210 @t3379) (tptp.hAPP @t831 @t3211))))) % 6.71/6.99 (assume @p2645 (forall @t55 (tptp.c_Fun_Oinj__on @t10 @t10 @t3387 @t21))) % 6.71/6.99 (assume @p2646 (forall (@list @t20 @t173 @t108 @t10 @t41) (= @t3399 @t3398))) % 6.71/6.99 (assume @p2647 (forall (@list @t20 @t108 @t41 @t173 @t10) (= @t3398 @t3399))) % 6.71/6.99 (assume @p2648 (forall @t2288 (= (tptp.hAPP @t224 @t3225) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t41 @t113) @t21) @t3400)))) % 6.71/6.99 (assume @p2649 (forall @t3123 (= @t1210 (tptp.hAPP (tptp.hAPP @t3273 @t728) @t3401)))) % 6.71/6.99 (assume @p2650 (forall (@list @t51 @t2 @t291 @t2989 @t10 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t10 @t2989 @t3402) @t2) @t51) @t291))) % 6.71/6.99 (assume @p2651 (forall @t3406 (=> (= @t3405 @t291) @t3404))) % 6.71/6.99 (assume @p2652 (forall @t3415 (=> @t223 (= (tptp.hAPP @t3410 (tptp.hAPP (tptp.hAPP @t3414 @t3412) @t2)) (tptp.hAPP @t3412 (tptp.hAPP (tptp.hAPP @t3411 @t3410) @t3408)))))) % 6.71/6.99 (assume @p2653 (forall @t3417 (=> @t223 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t41 @t3413) @t21) @t2) @t51) (tptp.hAPP @t3410 @t3416))))) % 6.71/6.99 (assume @p2654 (forall @t3384 (= @t3422 @t3420))) % 6.71/6.99 (assume @p2655 (forall @t3384 (= @t3420 @t3422))) % 6.71/6.99 (assume @p2656 (forall (@list @t51 @t1 @t2 @t2989 @t10 @t41) (= @t3424 @t2202))) % 6.71/6.99 (assume @p2657 (forall (@list @t2075 @t1 @t3425 @t2 @t10 @t41 @t2989) (= (tptp.hAPP @t3427 (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t2989 @t10 @t1) @t2075)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t41 @t10 @t3426) @t2075)))) % 6.71/6.99 (assume @p2658 (forall @t3432 (= (= @t3188 (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t41 @t3429 @t3428)) @t3431))) % 6.71/6.99 (assume @p2659 (forall (@list @t3436 @t3425 @t2989 @t10 @t41 @t3433 @t3434 @t3435 @t51 @t1 @t2) (=> (= @t2202 (tptp.hAPP @t3435 (tptp.hAPP @t3434 @t3433))) (= @t3424 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t10 @t3436 @t3435) @t3434) @t3433))))) % 6.71/6.99 (assume @p2660 (forall (@list @t1961 @t289 @t291 @t3425 @t248 @t173 @t10 @t41 @t2989) (=> @t3437 (= @t3403 (tptp.hAPP @t291 (tptp.hAPP @t289 @t1961)))))) % 6.71/6.99 (assume @p2661 (forall (@list @t289 @t291 @t3425 @t248 @t173 @t10 @t41 @t2989) (=> @t3437 (forall (@list @t3438) (= (tptp.hAPP @t173 (tptp.hAPP @t248 @t3438)) (tptp.hAPP @t291 (tptp.hAPP @t289 @t3438))))))) % 6.71/6.99 (assume @p2662 (forall (@list @t248 @t2 @t41 @t10 @t173 @t51) (and (=> @t3440 (= @t3439 @t248)) (=> (not @t3440) (= @t3439 @t53))))) % 6.71/6.99 (assume @p2663 (forall @t3442 (= (= @t3313 @t3312) @t3441))) % 6.71/6.99 (assume @p2664 (forall @t3444 (= @t3226 (forall @t7 (=> @t823 @t3443))))) % 6.71/6.99 (assume @p2665 (forall @t3445 (= (= @t3277 @t3276) @t3441))) % 6.71/6.99 (assume @p2666 (forall @t3444 (= (tptp.hBOOL (tptp.hAPP @t345 @t2225)) (exists @t7 (and @t823 @t3443))))) % 6.71/6.99 (assume @p2667 (forall @t2288 (= (tptp.hAPP @t301 @t3225) (tptp.hAPP @t2224 @t3446)))) % 6.71/6.99 (assume @p2668 (forall @t2288 (= (tptp.hAPP @t301 @t2225) (tptp.hAPP @t3224 @t3446)))) % 6.71/6.99 (assume @p2669 (forall @t3384 (= @t3450 @t3449))) % 6.71/6.99 (assume @p2670 (forall @t3384 (= @t3449 @t3450))) % 6.71/6.99 (assume @p2671 (forall @t3123 (= @t3451 (tptp.hAPP (tptp.hAPP @t3334 @t728) @t3401)))) % 6.71/6.99 (assume @p2672 (forall @t3417 (=> @t223 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t3413) @t21) @t2) @t51) (tptp.hAPP @t3453 @t3416))))) % 6.71/6.99 (assume @p2673 (forall @t3415 (=> @t223 (= (tptp.hAPP @t3453 (tptp.hAPP (tptp.hAPP @t3414 @t3454) @t2)) (tptp.hAPP @t3454 (tptp.hAPP (tptp.hAPP @t3411 @t3453) @t3408)))))) % 6.71/6.99 (assume @p2674 (forall @t3457 (= @t3235 (exists @t7 (and @t250 @t3456))))) % 6.71/6.99 (assume @p2675 (forall @t3462 (= (tptp.hAPP (tptp.hAPP @t2223 @t3461) @t108) (tptp.hAPP @t3460 (tptp.hAPP (tptp.hAPP @t3459 (tptp.hAPP (tptp.hAPP @t3458 @t2223) @t20)) @t108))))) % 6.71/6.99 (assume @p2676 (forall @t3467 (= (tptp.hAPP @t2224 (tptp.hAPP (tptp.hAPP @t3466 (tptp.hAPP (tptp.hAPP @t3465 @t3337) @t20)) @t108)) (tptp.hAPP (tptp.hAPP @t3337 @t3464) @t108)))) % 6.71/6.99 (assume @p2677 (forall @t3467 (= (tptp.hAPP @t3224 (tptp.hAPP (tptp.hAPP @t3466 (tptp.hAPP (tptp.hAPP @t3465 @t3298) @t20)) @t108)) (tptp.hAPP (tptp.hAPP @t3298 @t3464) @t108)))) % 6.71/6.99 (assume @p2678 (forall @t3462 (= (tptp.hAPP (tptp.hAPP @t3223 @t3461) @t108) (tptp.hAPP @t3395 (tptp.hAPP (tptp.hAPP @t3459 (tptp.hAPP (tptp.hAPP @t3458 @t3223) @t20)) @t108))))) % 6.71/6.99 (assume @p2679 (forall @t3393 (= (tptp.hAPP @t2224 @t3392) (tptp.hAPP @t3468 @t20)))) % 6.71/6.99 (assume @p2680 (forall (@list @t20 @t21 @t2989 @t2 @t10 @t41) (= (tptp.hAPP @t794 @t3461) (tptp.hAPP @t3460 (tptp.hAPP (tptp.hAPP @t3469 @t794) @t20))))) % 6.71/6.99 (assume @p2681 (forall @t3397 (= (tptp.hAPP (tptp.hAPP @t2223 @t3396) @t20) (tptp.hAPP @t3460 @t3394)))) % 6.71/6.99 (assume @p2682 (forall @t3470 (= (tptp.hAPP @t794 (tptp.c_Complete__Lattice_OSup__class_OSup @t393 @t728)) (tptp.hAPP (tptp.hAPP @t3447 @t728) @t794)))) % 6.71/6.99 (assume @p2683 (forall (@list @t2727 @t1 @t2 @t2989 @t10 @t41) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t10 @t41 @t2) @t1)) @t2727) (tptp.hAPP @t3472 (tptp.hAPP @t3471 @t2727))))) % 6.71/6.99 (assume @p2684 (forall @t2288 (= (= @t146 @t2225) @t3473))) % 6.71/6.99 (assume @p2685 (forall (@list @t21 @t10 @t41) (= (tptp.hAPP @t2224 (tptp.hAPP @t3474 @t146)) @t146))) % 6.71/6.99 (assume @p2686 (forall @t3378 (and (=> @t166 (= @t3477 @t825)) (=> @t430 (= @t3477 @t291))))) % 6.71/6.99 (assume @p2687 (forall @t3384 (= (= @t2225 @t146) @t3473))) % 6.71/6.99 (assume @p2688 (forall @t3479 (=> @t139 (=> @t430 (= (tptp.hAPP @t137 @t3478) @t2083))))) % 6.71/6.99 (assume @p2689 (forall @t3482 (= @t3481 (tptp.hBOOL (tptp.hAPP @t3307 @t3480))))) % 6.71/6.99 (assume @p2690 (forall @t204 (= (tptp.hBOOL (tptp.hAPP @t146 @t51)) (tptp.hBOOL (tptp.hAPP @t326 @t146))))) % 6.71/6.99 (assume @p2691 (forall @t3479 (=> @t139 (=> @t430 (= (tptp.hAPP @t142 @t3478) @t2083))))) % 6.71/6.99 (assume @p2692 (forall (@list @t21 @t2 @t3435 @t2989 @t41 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t41 @t10 @t3435) @t2) @t21) (tptp.c_Fun_Oinj__on @t10 @t2989 @t2 @t21)))) % 6.71/6.99 (assume @p2693 (forall (@list @t97 @t51 @t1 @t2 @t10 @t41 @t2989) (= (tptp.hAPP @t3427 (tptp.c_Fun_Ofun__upd @t10 @t2989 @t1 @t51 @t97)) (tptp.c_Fun_Ofun__upd @t10 @t41 @t3483 @t51 @t117)))) % 6.71/6.99 (assume @p2694 (forall @t29 (= (tptp.hBOOL (tptp.hAPP @t112 @t20)) (forall @t7 (=> @t363 @t3484))))) % 6.71/6.99 (assume @p2695 (= (tptp.hAPP @t3485 @t155) @t964)) % 6.71/6.99 (assume @p2696 (forall @t3378 (and (=> @t166 (= @t3486 @t858)) (=> @t430 (= @t3486 @t291))))) % 6.71/6.99 (assume @p2697 (forall (@list @t20 @t10 @t41) (= (tptp.hAPP (tptp.hAPP @t3223 @t825) @t20) @t165))) % 6.71/6.99 (assume @p2698 (forall (@list @t1 @t2 @t2989 @t10 @t41) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2989 @t10 @t41) @t2) @t1)) @t858) (tptp.hAPP @t3472 (tptp.hAPP @t3471 @t858))))) % 6.71/6.99 (assume @p2699 (forall @t3498 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3228 @t165) @t3497) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3492 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3488) @t165) @t2727)))))) % 6.71/6.99 (assume @p2700 (forall @t3498 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3217 @t165) @t3497) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3492 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3488) @t165) @t2727)))))) % 6.71/6.99 (assume @p2701 (forall @t3384 (= (= @t3225 @t165) @t3499))) % 6.71/6.99 (assume @p2702 (forall @t2288 (= (= @t165 @t3225) @t3499))) % 6.71/6.99 (assume @p2703 (forall @t3503 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3500 @t3502) @t51)) (tptp.hBOOL (tptp.hAPP @t797 (tptp.hAPP @t3500 @t2727)))))) % 6.71/6.99 (assume @p2704 (forall (@list @t2989 @t2 @t41 @t10) (=> @t1074 (tptp.c_Fun_Oinj__on @t10 @t3504 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 @t3504 @t10) (tptp.c_COMBK @t41 @t2989)) @t2) @t165)))) % 6.71/6.99 (assume @p2705 (= (tptp.hAPP @t3485 @t152) @t964)) % 6.71/6.99 (assume @p2706 (= (tptp.hAPP @t3485 @t160) @t964)) % 6.71/6.99 (assume @p2707 (forall @t3253 (and (=> @t3251 (= @t3506 @t21)) (=> @t3252 (= @t3506 @t3505))))) % 6.71/6.99 (assume @p2708 (forall @t187 (= (tptp.hAPP @t923 @t116) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t890 @t3507 @t924)))) % 6.71/6.99 (assume @p2709 (forall @t3253 (and (=> @t3251 (= @t3510 (tptp.hAPP (tptp.hAPP @t808 @t858) @t20))) (=> @t3252 (= @t3510 @t3509))))) % 6.71/6.99 (assume @p2710 (forall @t3253 (and (=> @t3251 (= @t3509 @t858)) (=> @t3252 (= @t3509 @t3510))))) % 6.71/6.99 (assume @p2711 (forall @t3513 (and (=> @t3251 (= @t3512 @t825)) (=> @t3252 (= @t3512 @t3511))))) % 6.71/6.99 (assume @p2712 (forall @t55 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t23) @t21) @t3374) @t21))) % 6.71/6.99 (assume @p2713 (forall @t3513 (and (=> @t3251 (= @t3511 @t3514)) (=> @t3252 (= @t3511 @t3512))))) % 6.71/6.99 (assume @p2714 (forall (@list @t2 @t2989 @t1 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t2063 (tptp.hAPP @t2183 @t858))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2989) (tptp.hAPP (tptp.c_Set_Oimage @t41 @t2989 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2989 @t41) @t2) @t1)) @t858)))))) % 6.71/6.99 (assume @p2715 (forall @t3503 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3515 @t3502) @t51)) (tptp.hBOOL (tptp.hAPP @t797 (tptp.hAPP @t3515 @t2727)))))) % 6.71/6.99 (assume @p2716 (forall @t3366 (=> @t816 (= (tptp.hAPP (tptp.hAPP @t2922 @t3517) @t21) (tptp.hAPP (tptp.hAPP @t807 @t3241) @t3516))))) % 6.71/6.99 (assume @p2717 (forall @t3354 (= (tptp.hAPP @t1511 @t2933) @t3519))) % 6.71/6.99 (assume @p2718 (forall @t827 (=> @t1780 (= (tptp.hAPP @t1837 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t41 tptp.tc_Int_Oint) @t2) @t21)) (tptp.hAPP (tptp.hAPP @t2922 @t3355) @t21))))) % 6.71/6.99 (assume @p2719 (forall @t827 (=> @t816 (= (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP (tptp.hAPP @t3238 @t505) @t2)) @t21) (tptp.hAPP @t505 @t3241))))) % 6.71/6.99 (assume @p2720 (forall (@list @t20 @t1 @t2989 @t21 @t2 @t41 @t10) (=> @t3525 (= (tptp.hAPP @t3524 (tptp.hAPP (tptp.hAPP @t3520 @t1) @t20)) (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP (tptp.hAPP @t3523 (tptp.hAPP @t3522 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t3413 @t3413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3362 (tptp.tc_fun @t3413 @t3413) @t41) (tptp.c_COMBB @t10 @t10 @t2989)) @t3364)) @t1))) @t20)) @t21))))) % 6.71/6.99 (assume @p2721 (forall @t3528 (=> @t3525 (= (tptp.hAPP @t3524 @t2727) (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP @t3527 @t2727)) @t21))))) % 6.71/6.99 (assume @p2722 (forall (@list @t21 @t2 @t41 @t2727 @t10) (=> @t3525 (= (tptp.hAPP @t3529 @t3241) (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP (tptp.hAPP @t3238 @t3529) @t2)) @t21))))) % 6.71/6.99 (assume @p2723 (forall @t3531 (=> @t2924 (= @t3530 (tptp.hAPP (tptp.hAPP @t3520 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2989 @t393 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t148 (tptp.tc_fun @t393 @t10) @t2989) @t2922) @t3408)) @t21)) @t20))))) % 6.71/6.99 (assume @p2724 (forall @t827 (=> @t1899 (= (tptp.hAPP @t1897 @t3240) @t3240)))) % 6.71/6.99 (assume @p2725 (forall @t3528 (=> @t2813 (= (tptp.hAPP (tptp.hAPP @t2728 @t3241) @t2727) (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP (tptp.hAPP @t3526 (tptp.hAPP (tptp.hAPP @t3363 @t2728) @t2)) @t2727)) @t21))))) % 6.71/6.99 (assume @p2726 (forall @t3368 (=> @t2924 (= (tptp.hAPP (tptp.hAPP @t2922 @t3532) @t21) @t925)))) % 6.71/6.99 (assume @p2727 (forall @t3366 (=> @t2924 (= (tptp.hAPP (tptp.hAPP @t2922 @t3533) @t21) (tptp.hAPP (tptp.hAPP @t1313 @t3241) @t3516))))) % 6.71/6.99 (assume @p2728 (forall @t3360 (=> @t2929 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t2914 (tptp.hAPP (tptp.hAPP @t3358 (tptp.hAPP (tptp.hAPP @t3357 @t2945) @t1)) @t2075)) @t21) (tptp.hAPP @t2949 (tptp.hAPP (tptp.hAPP @t2914 @t2075) @t21))))))) % 6.71/6.99 (assume @p2729 (forall @t973 (= @t714 @t182))) % 6.71/6.99 (assume @p2730 (forall (@list @t1071 @t151) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3325 @t1071))) % 6.71/6.99 (assume @p2731 (forall @t3536 (=> @t139 (=> @t3535 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t3534) (tptp.hAPP @t137 @t2083))))))) % 6.71/6.99 (assume @p2732 (forall @t3538 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t3264) @t20)) (forall @t7 (=> @t3537 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t3232) @t20))))))) % 6.71/6.99 (assume @p2733 (forall (@list @t2 @t21 @t41 @t173 @t10) (=> @t730 (= (tptp.hBOOL (tptp.hAPP @t696 (tptp.hAPP @t3453 @t2))) (exists @t7 (and @t823 (tptp.hBOOL (tptp.hAPP @t696 @t5)))))))) % 6.71/6.99 (assume @p2734 (forall (@list @t261 @t2083 @t21 @t41 @t10) (=> @t223 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t3453 @t2083)) @t261)) (forall @t7 (=> @t823 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t3539) @t261)))))))) % 6.71/6.99 (assume @p2735 (forall (@list @t2083 @t21 @t41 @t261 @t10) (=> @t223 (= (tptp.hBOOL (tptp.hAPP @t3540 (tptp.hAPP @t3410 @t2083))) (forall @t7 (=> @t823 (tptp.hBOOL (tptp.hAPP @t3540 @t3539)))))))) % 6.71/6.99 (assume @p2736 (forall (@list @t173 @t2 @t21 @t41 @t10) (=> @t730 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 (tptp.hAPP @t3410 @t2)) @t173)) (exists @t7 (and @t823 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t591 @t5) @t173)))))))) % 6.71/6.99 (assume @p2737 (forall @t187 (= @t749 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t184 @t115))))) % 6.71/6.99 (assume @p2738 (forall @t3442 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3542 @t3313) @t3312)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3541 @t3274) @t728))))) % 6.71/6.99 (assume @p2739 (forall @t3291 (= (tptp.hBOOL (tptp.hAPP @t25 @t3290)) (forall @t7 (=> @t3537 (tptp.hBOOL (tptp.hAPP @t25 @t3232))))))) % 6.71/6.99 (assume @p2740 (forall @t3445 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t3277) @t3276)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t3274) @t728))))) % 6.71/6.99 (assume @p2741 (forall @t3543 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t3211) @t3206))))) % 6.71/6.99 (assume @p2742 (forall @t3543 (=> @t344 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t3206) @t2094))))) % 6.71/6.99 (assume @p2743 (forall @t3536 (=> @t139 (=> @t3535 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 (tptp.hAPP @t142 @t2083)) @t3534)))))) % 6.71/6.99 (assume @p2744 (forall @t2617 (= @t3548 (tptp.hAPP @t3547 @t3545)))) % 6.71/6.99 (assume @p2745 (forall @t935 (=> @t3025 (= @t3551 @t3549)))) % 6.71/6.99 (assume @p2746 (forall @t3553 (=> @t3025 (tptp.c_Finite__Set_Ofun__left__comm @t2989 @t41 @t3552)))) % 6.71/6.99 (assume @p2747 (forall (@list @t1 @t2 @t41 @t10) (= @t2279 (tptp.c_Finite__Set_Ofold @t41 @t10 @t3554)))) % 6.71/6.99 (assume @p2748 (forall @t827 (=> @t222 (= (tptp.hAPP @t1258 (tptp.hAPP (tptp.hAPP @t3556 @t2) @t21)) (tptp.hAPP (tptp.hAPP @t2922 @t3555) @t21))))) % 6.71/6.99 (assume @p2749 (forall @t3553 (=> @t3035 (tptp.c_Finite__Set_Ofun__left__comm__idem @t2989 @t41 @t3552)))) % 6.71/6.99 (assume @p2750 (forall @t908 (=> @t3035 @t3557))) % 6.71/6.99 (assume @p2751 (forall @t3354 (=> @t3563 (= (tptp.hAPP (tptp.hAPP @t3562 @t2) @t21) (tptp.hAPP (tptp.hAPP @t3561 @t3560) @t1675))))) % 6.71/6.99 (assume @p2752 (forall @t3565 (=> @t2924 (= (tptp.hAPP @t2936 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t191 @t116)) (tptp.hAPP @t3564 @t666))))) % 6.71/6.99 (assume @p2753 (forall @t55 (= (tptp.hAPP @t3566 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3568 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 (tptp.tc_fun @t3568 @t23) tptp.tc_Nat_Onat) @t3322) @t999)) @t21)) @t3567))) % 6.71/6.99 (assume @p2754 (forall @t55 (= @t1978 (tptp.hAPP (tptp.hAPP @t2930 @t3569) @t21)))) % 6.71/6.99 (assume @p2755 (forall @t3349 (=> @t2924 (= (tptp.hAPP @t2936 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1290) @t1288)) (tptp.hAPP @t3348 @t780))))) % 6.71/6.99 (assume @p2756 (forall @t3354 (= @t2933 (tptp.hAPP tptp.c_Int_Onat @t3519)))) % 6.71/6.99 (assume @p2757 (forall @t3565 (=> @t2924 (= (tptp.hAPP @t2936 (tptp.hAPP @t2956 @t116)) (tptp.hAPP @t3564 @t780))))) % 6.71/6.99 (assume @p2758 (forall @t187 (= (tptp.hAPP (tptp.hAPP @t3064 @t181) @t116) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t890 (tptp.hAPP @t3571 (tptp.hAPP (tptp.hAPP @t3323 @t3064) @t115)) @t181)))) % 6.71/6.99 (assume @p2759 (forall @t192 (= (tptp.hAPP @t3573 @t181) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t890 (tptp.hAPP @t3571 @t3572) @t181)))) % 6.71/6.99 (assume @p2760 (forall @t3384 (= @t2225 @t3574))) % 6.71/6.99 (assume @p2761 (forall @t3385 (= @t3574 @t2225))) % 6.71/6.99 (assume @p2762 (forall @t187 (= (tptp.hAPP (tptp.hAPP @t3157 @t181) @t116) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t116 (tptp.hAPP @t3571 (tptp.hAPP (tptp.hAPP @t3323 @t3157) @t115)) @t181)))) % 6.71/6.99 (assume @p2763 (forall @t192 (= (tptp.hAPP @t3576 @t181) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t116 (tptp.hAPP @t3571 @t3575) @t181)))) % 6.71/6.99 (assume @p2764 (forall @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t114 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t113) @t21) @t3400)) (tptp.hAPP @t224 @t2225))))) % 6.71/6.99 (assume @p2765 (forall @t827 (=> (and @t2867 @t222) (= (tptp.hAPP @t1258 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t41 tptp.tc_Nat_Onat) @t2) @t21)) (tptp.hAPP (tptp.hAPP @t2865 @t3555) @t21))))) % 6.71/6.99 (assume @p2766 (forall @t3354 (= @t3353 (tptp.hAPP tptp.c_Int_Onat @t3352)))) % 6.71/6.99 (assume @p2767 (forall @t3578 (= (tptp.hAPP @t3577 @t982) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1463) @t1476)))) % 6.71/6.99 (assume @p2768 (forall @t3578 (= (tptp.hAPP @t3577 @t985) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1463 @t1476)))) % 6.71/6.99 (assume @p2769 (forall @t3590 (=> @t2929 (=> @t2298 (and (=> @t3587 (= @t3586 @t3589)) (=> @t3588 (= @t3586 @t2858))))))) % 6.71/6.99 (assume @p2770 (forall @t3590 (=> @t2929 (=> @t2298 (and (=> @t3587 (= @t3593 @t3589)) (=> @t3588 (= @t3593 @t2858))))))) % 6.71/6.99 (assume @p2771 (forall (@list @t291 @t41 @t21 @t51 @t10) (=> @t351 @t3377))) % 6.71/6.99 (assume @p2772 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t757) @t964) @t158) @t758)) % 6.71/6.99 (assume @p2773 (forall @t3590 (=> @t2277 (=> @t2298 (and (=> @t3587 (= @t3594 @t3589)) (=> @t3588 (= @t3594 @t2268))))))) % 6.71/6.99 (assume @p2774 (forall @t3590 (=> @t2277 (=> @t2298 (and (=> @t3587 (= @t3595 @t3589)) (=> @t3588 (= @t3595 @t2268))))))) % 6.71/6.99 (assume @p2775 (forall @t828 (= @t795 (tptp.hAPP @t2224 (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3265 @t41) @t594) @t2)) @t146))))) % 6.71/6.99 (assume @p2776 (forall @t3253 (and (=> @t3251 (= @t3505 @t858)) (=> @t3252 (= @t3505 @t3506))))) % 6.71/6.99 (assume @p2777 (forall (@list @t21 @t97 @t41 @t10) (=> @t222 (= (tptp.hAPP (tptp.hAPP @t2922 (tptp.hAPP @t3367 @t97)) @t21) (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP @t1258 @t2021)) @t97))))) % 6.71/6.99 (assume @p2778 (forall (@list @t1354 @t513 @t10) (=> @t1894 (= (tptp.hAPP @t3598 @t3548) (tptp.hAPP @t3600 @t3597))))) % 6.71/6.99 (assume @p2779 (forall @t3360 (=> @t2277 (=> @t2064 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2270 @t3359) @t2268) @t21) (tptp.hAPP @t2274 (tptp.hAPP (tptp.hAPP @t2987 @t2268) @t21))))))) % 6.71/6.99 (assume @p2780 (forall @t164 (=> @t120 (= (tptp.c_Orderings_Oord_Omax @t10 @t3601) @t3039)))) % 6.71/6.99 (assume @p2781 (forall @t164 (=> @t120 (= (tptp.c_Orderings_Oord_Omin @t10 @t3601) @t3129)))) % 6.71/6.99 (assume @p2782 (forall (@list @t97 @t21 @t10 @t41) (=> @t2277 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t2852 (tptp.hAPP @t3375 @t97)) @t21) (tptp.hAPP (tptp.hAPP @t3602 @t97) @t1978)))))) % 6.71/6.99 (assume @p2783 (forall @t140 (=> @t139 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t464 @t20) @t138) (tptp.hAPP (tptp.hAPP @t3603 @t20) @t21)))))) % 6.71/6.99 (assume @p2784 (forall @t140 (=> @t139 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t456 @t20) @t143) (tptp.hAPP (tptp.hAPP @t3604 @t20) @t21)))))) % 6.71/6.99 (assume @p2785 (forall @t1608 (= (tptp.hAPP @t3607 @t3548) (tptp.hAPP @t3608 (tptp.hAPP (tptp.hAPP @t3606 @t1525) @t3605))))) % 6.71/6.99 (assume @p2786 (forall (@list @t1 @t2989 @t2 @t10 @t41) (=> @t879 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t2989 @t1) @t165) @t3609) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t2989 (tptp.hAPP @t3610 @t2)) @t858) @t3609))))) % 6.71/6.99 (assume @p2787 (forall @t3611 (=> @t2924 (= (tptp.hAPP @t2936 @t978) (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t2936 @t977)) @t216))))) % 6.71/6.99 (assume @p2788 (forall (@list @t2 @t1 @t2989 @t21 @t10 @t41) (= (tptp.hAPP @t2224 (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t23 @t41 @t1) @t2)) (tptp.hAPP @t3468 @t1)))) % 6.71/6.99 (assume @p2789 (forall @t3553 (=> @t1074 (=> (tptp.c_Fun_Oinj__on @t2989 @t10 @t1 @t3609) (tptp.c_Fun_Oinj__on @t2989 @t41 @t3612 @t3609))))) % 6.71/6.99 (assume @p2790 (forall (@list @t21 @t2 @t1 @t2989 @t41 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t41 @t3614 @t21) (tptp.c_Fun_Oinj__on @t2989 @t41 @t1 (tptp.hAPP @t3613 @t21))))) % 6.71/6.99 (assume @p2791 (forall (@list @t1 @t2989 @t21 @t2 @t41 @t10) (=> @t1025 (=> (tptp.c_Fun_Oinj__on @t41 @t2989 @t1 @t819) (tptp.c_Fun_Oinj__on @t10 @t2989 @t3615 @t21))))) % 6.71/6.99 (assume @p2792 (forall (@list @t3435 @t2989 @t21 @t2 @t41 @t10) (=> @t1025 (= (tptp.c_Fun_Oinj__on @t41 @t2989 @t3435 @t819) (tptp.c_Fun_Oinj__on @t10 @t2989 @t3616 @t21))))) % 6.71/6.99 (assume @p2793 (forall @t3611 (=> @t2924 (= (tptp.hAPP @t2936 (tptp.hAPP @t152 @t116)) (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t2936 @t1001)) @t2967))))) % 6.71/6.99 (assume @p2794 (forall @t3354 (=> @t3563 (= (tptp.hAPP @t2936 @t21) (tptp.hAPP (tptp.hAPP @t3617 @t3560) @t1675))))) % 6.71/6.99 (assume @p2795 (forall @t3284 (= (tptp.hAPP @t3339 @t3269) (tptp.hAPP (tptp.hAPP @t269 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t3319)) (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t3318))))) % 6.71/6.99 (assume @p2796 (forall @t402 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t3618 @t1549) @t227)) (tptp.hAPP @t1750 @t1865)) @t2039))) % 6.71/6.99 (assume @p2797 (forall @t2154 (=> @t3563 (=> @t1836 (= @t3620 (tptp.hAPP (tptp.hAPP @t3562 @t3619) @t1833)))))) % 6.71/6.99 (assume @p2798 (forall @t746 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t10 @t3621) @t51)) (tptp.hBOOL (tptp.hAPP @t793 @t226))))) % 6.71/6.99 (assume @p2799 (forall @t3624 (=> @t2929 (=> @t2064 (= @t2963 @t3623))))) % 6.71/6.99 (assume @p2800 (forall @t2160 (=> @t2064 (= @t819 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t393 @t10 @t394) (tptp.hAPP (tptp.hAPP @t3259 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 @t3255 @t10) @t830) @t2)) @t825)) @t825) @t21))))) % 6.71/6.99 (assume @p2801 (forall @t1964 (=> @t1894 (= (tptp.hAPP @t3625 @t3548) (tptp.hAPP @t3626 @t3597))))) % 6.71/6.99 (assume @p2802 (forall @t2864 (=> @t139 (=> @t2064 (= @t138 (tptp.hAPP (tptp.hAPP @t3603 (tptp.c_Orderings_Obot__class_Obot @t41)) @t21)))))) % 6.71/6.99 (assume @p2803 (forall @t55 @t3627)) % 6.71/6.99 (assume @p2804 (forall @t55 (and @t3627 @t2147))) % 6.71/6.99 (assume @p2805 (forall @t164 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t23 @t3628))) % 6.71/6.99 (assume @p2806 (forall @t2864 (=> @t139 (=> @t2064 (= @t143 (tptp.hAPP (tptp.hAPP @t3604 (tptp.c_Orderings_Otop__class_Otop @t41)) @t21)))))) % 6.71/6.99 (assume @p2807 (forall (@list @t513 @t1764) (and (=> @t3636 (= @t3635 @t1766)) (=> (not @t3636) (= @t3635 (tptp.hAPP (tptp.hAPP @t3634 (tptp.hAPP @t1601 @t1764)) @t3633)))))) % 6.71/6.99 (assume @p2808 (forall @t2011 (=> @t1829 (=> (tptp.hBOOL (tptp.hAPP @t1530 @t943)) (= (tptp.c_Divides_OnegDivAlg @t208 @t943) @t3637))))) % 6.71/6.99 (assume @p2809 (forall @t1924 (= (tptp.c_Divides_OnegDivAlg @t2310 @t85) (tptp.hAPP @t3199 @t2309)))) % 6.71/6.99 (assume @p2810 (forall (@list @t2083 @t115 @t10) (= (tptp.hAPP @t3326 @t2083) (tptp.hAPP (tptp.hAPP @t269 (tptp.hAPP (tptp.hAPP @t3322 @t3638) @t2083)) (tptp.hAPP @t2083 @t890))))) % 6.71/6.99 (assume @p2811 (forall @t2154 (=> @t3563 (=> @t1836 (= @t3640 (tptp.hAPP (tptp.hAPP @t2935 @t3619) @t1833)))))) % 6.71/6.99 (assume @p2812 (forall @t598 (=> @t222 (= @t1259 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 (tptp.hAPP (tptp.hAPP @t3641 @t1313) @t1322) @t115 @t925))))) % 6.71/6.99 (assume @p2813 (forall (@list @t2727 @t2453 @t248) (= (tptp.hAPP @t3650 @t3649) (tptp.hAPP (tptp.hAPP @t3648 (tptp.hAPP (tptp.hAPP @t1514 @t2727) @t248)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3643 @t3643) (tptp.hAPP (tptp.hAPP @t3647 (tptp.hAPP @t3646 @t1592)) (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t1549 @t3642) @t1538)))) (tptp.hAPP (tptp.hAPP @t3198 @t3642) @t2727)))))) % 6.71/6.99 (assume @p2814 (forall (@list @t60 @t115 @t181 @t10) (=> @t2924 (=> @t185 (= (tptp.hAPP @t3651 @t666) (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP @t60 @t181)) (tptp.hAPP @t3651 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t181 @t115)))))))) % 6.71/6.99 (assume @p2815 (forall @t29 (=> @t2064 (= @t853 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t23 @t3628) @t20) @t21))))) % 6.71/6.99 (assume @p2816 (forall @t3654 (=> @t2995 (=> @t1024 (= (tptp.hAPP @t2992 @t833) (tptp.hAPP @t3653 @t20)))))) % 6.71/6.99 (assume @p2817 (forall @t3666 (= (= @t116 @t2236) @t3665))) % 6.71/6.99 (assume @p2818 (forall @t3667 (= (= @t2236 @t116) @t3665))) % 6.71/6.99 (assume @p2819 (forall @t3654 (=> @t3671 (=> @t1024 (= (tptp.hAPP @t3670 @t833) (tptp.hAPP (tptp.hAPP @t3668 @t3652) @t20)))))) % 6.71/6.99 (assume @p2820 (forall @t2996 (=> @t3671 (=> @t1025 (=> @t2994 (=> (= @t1 @t3652) @t3672)))))) % 6.71/6.99 (assume @p2821 (forall @t3681 (= (tptp.c_Nat_Onat_Onat__case @t10 @t173 @t2 @t2236) (tptp.hAPP @t3680 (tptp.hAPP @t3678 @t3560))))) % 6.71/6.99 (assume @p2822 (forall @t2617 (and (=> @t2623 (= @t3682 @t890)) (=> (not @t2623) (= @t3682 (tptp.hAPP @t3547 (tptp.hAPP @t3571 @t3545))))))) % 6.71/6.99 (assume @p2823 (forall (@list @t115 @t51 @t10) (=> @t2813 (=> (not @t1323) (= (tptp.hAPP (tptp.hAPP @t2935 @t2703) @t1000) (tptp.hAPP (tptp.hAPP @t2728 (tptp.hAPP (tptp.hAPP @t807 (tptp.hAPP @t2703 @t115)) @t1322)) (tptp.hAPP (tptp.hAPP @t807 @t51) @t1322))))))) % 6.71/6.99 (assume @p2824 (forall @t598 (=> @t3685 (= (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t2935 @t1258) @t3638)) (tptp.hAPP @t3683 (tptp.hAPP (tptp.hAPP @t1313 @t1259) @t1322)))))) % 6.71/6.99 (assume @p2825 (forall @t2959 (=> @t816 (and (=> @t185 (= @t3687 (tptp.hAPP (tptp.hAPP @t807 @t2957) (tptp.hAPP @t2 @t2973)))) (=> @t186 (= @t3687 @t925)))))) % 6.71/6.99 (assume @p2826 (forall @t3667 (= (tptp.hBOOL (tptp.hAPP @t2575 @t116)) (tptp.hBOOL (tptp.hAPP @t3664 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3655 @t599) tptp.c_Int_Onat)) @t115))))))) % 6.71/6.99 (assume @p2827 (forall @t3666 (= (tptp.hBOOL (tptp.hAPP @t2970 @t2236)) (tptp.hBOOL (tptp.hAPP @t3664 (tptp.hAPP @t3663 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3688 @t714) tptp.c_Int_Onat)))))))) % 6.71/6.99 (assume @p2828 (forall @t3666 (= (tptp.hBOOL (tptp.hAPP @t182 @t2236)) (tptp.hBOOL (tptp.hAPP @t3664 (tptp.hAPP @t3663 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3688 @t189) tptp.c_Int_Onat)))))))) % 6.71/6.99 (assume @p2829 (forall @t3667 (= (tptp.hBOOL (tptp.hAPP @t2576 @t116)) (tptp.hBOOL (tptp.hAPP @t3664 (tptp.hAPP @t3661 (tptp.hAPP (tptp.hAPP @t3656 (tptp.hAPP (tptp.hAPP @t3655 @t178) tptp.c_Int_Onat)) @t115))))))) % 6.71/6.99 (assume @p2830 (forall @t3666 (= (tptp.hAPP @t3576 @t2236) (tptp.hAPP @t3692 (tptp.hAPP @t3691 (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t3689 @t3575) tptp.c_Int_Onat))))))) % 6.71/6.99 (assume @p2831 (forall @t3667 (= (tptp.hAPP (tptp.hAPP @t3157 @t2236) @t116) (tptp.hAPP @t3692 (tptp.hAPP @t3691 (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3693 @t3157) tptp.c_Int_Onat)) @t115))))))) % 6.71/6.99 (assume @p2832 (forall @t3697 (= (tptp.c_Nat_Onat_Onat__case @t10 @t173 @t2 @t3696) (tptp.hAPP @t3680 (tptp.hAPP (tptp.hAPP @t3677 (tptp.hAPP @t3676 (tptp.c_Nat_Onat_Onat__case @t10 @t173 @t2 @t115))) (tptp.hAPP @t3559 @t3695)))))) % 6.71/6.99 (assume @p2833 (forall @t1840 (=> @t1894 (and (=> @t3699 (= @t3698 (tptp.hAPP @t3600 (tptp.hAPP (tptp.hAPP @t3596 (tptp.hAPP @t3702 @t1198)) @t3387)))) (=> @t3700 (= @t3698 @t1322)))))) % 6.71/6.99 (assume @p2834 (forall (@list @t291 @t248 @t173 @t728 @t10 @t41) (=> @t2277 (=> @t2298 (and (=> @t3587 (= @t3705 (tptp.hAPP (tptp.hAPP @t2269 @t3589) (tptp.hAPP @t3704 (tptp.hAPP (tptp.hAPP @t911 @t3703) @t1243))))) (=> @t3588 (= @t3705 (tptp.hAPP @t3704 @t3703)))))))) % 6.71/6.99 (assume @p2835 (forall (@list @t51 @t97 @t291) (and (=> @t3708 (= @t3707 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1516 @t291)) (tptp.hAPP (tptp.hAPP @t911 @t97) @t291)))) (=> (not @t3708) (and (=> @t1510 (= @t3707 @t892)) (=> (not @t1510) (= @t3707 @t758))))))) % 6.71/6.99 (assume @p2836 (forall @t3712 (=> @t2929 (=> @t2064 (=> @t3711 (= (tptp.hAPP @t2926 @t3710) (tptp.hAPP (tptp.hAPP @t2914 @t3709) @t21))))))) % 6.71/6.99 (assume @p2837 (forall @t1567 (and (=> @t3699 (= @t3713 (tptp.hAPP @t3608 (tptp.hAPP (tptp.hAPP @t3606 (tptp.hAPP (tptp.hAPP @t3714 @t1525) (tptp.hAPP @t1525 @t513))) @t3605)))) (=> @t3700 (= @t3713 @t1538))))) % 6.71/6.99 (assume @p2838 (forall @t3712 (=> @t2277 (=> @t2064 (=> @t3711 (= (tptp.hAPP @t2870 @t3710) (tptp.hAPP (tptp.hAPP @t2852 @t3709) @t21))))))) % 6.71/6.99 (assume @p2839 (forall (@list @t115 @t289 @t173 @t10) (=> @t3685 (= (tptp.hAPP @t3684 (tptp.hAPP (tptp.hAPP @t2935 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t10 tptp.tc_Nat_Onat) @t1319) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t3686 @t1019) @t1258)) @t289))) @t977)) (tptp.hAPP @t3683 (tptp.hAPP @t1319 (tptp.hAPP @t1319 (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP @t1258 @t3189)) @t289)))))))) % 6.71/6.99 (assume @p2840 (forall @t1937 (and (=> @t3720 @t3721) (=> (not @t3720) @t3717)))) % 6.71/6.99 (assume @p2841 (forall @t3667 (= (tptp.hAPP (tptp.hAPP @t3064 @t2236) @t116) (tptp.hAPP @t3692 (tptp.hAPP @t3632 (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t3694 (tptp.hAPP (tptp.hAPP @t3693 @t3064) tptp.c_Int_Onat)) @t115))))))) % 6.71/6.99 (assume @p2842 (forall @t3666 (= (tptp.hAPP @t3573 @t2236) (tptp.hAPP @t3692 (tptp.hAPP @t3632 (tptp.hAPP @t3690 (tptp.hAPP (tptp.hAPP @t3689 @t3572) tptp.c_Int_Onat))))))) % 6.71/6.99 (assume @p2843 (forall @t3192 (= (tptp.hAPP (tptp.hAPP @t1028 @t2488) (tptp.hAPP (tptp.hAPP @t2943 (tptp.hAPP (tptp.hAPP @t3570 @t3722) (tptp.hAPP (tptp.hAPP @t3323 @t1028) @t289))) @t977)) (tptp.hAPP @t1077 (tptp.hAPP @t3722 (tptp.hAPP @t3722 (tptp.hAPP (tptp.hAPP @t1028 @t3189) @t289))))))) % 6.71/6.99 (assume @p2844 (forall @t3727 (=> @t3726 (=> @t3725 (=> @t3724 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t2989 @t41 @t21 @t3612) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t2989 @t41 (tptp.c_Fun_Othe__inv__into @t2989 @t10 @t21 @t1)) (tptp.c_Fun_Othe__inv__into @t10 @t41 @t3723 @t2)) @t51))))))) % 6.71/6.99 (assume @p2845 (forall (@list @t1961 @t1354 @t10) (=> @t1894 (and (=> @t3699 (= @t3728 (tptp.hAPP @t3626 (tptp.hAPP (tptp.hAPP @t3596 (tptp.hAPP @t3702 (tptp.hAPP @t1019 @t1962))) @t3387)))) (=> @t3700 (= @t3728 @t1322)))))) % 6.71/6.99 (assume @p2846 (forall @t2120 (=> @t3734 (and (=> @t3733 (= @t3731 (tptp.hAPP @t3199 @t3732))) (=> (not @t3733) (= @t3731 (tptp.hAPP @t3730 (tptp.c_Divides_OnegDivAlg @t2118 @t3729)))))))) % 6.71/6.99 (assume @p2847 (forall @t1993 (=> @t1995 (and (=> @t3719 @t3721) (=> (not @t3719) @t3717))))) % 6.71/6.99 (assume @p2848 (forall (@list @t1961 @t2231) (and (=> @t3736 (= @t3735 @t2236)) (=> (not @t3736) (= @t3735 (tptp.hAPP (tptp.hAPP @t3634 (tptp.hAPP @t1879 (tptp.hAPP (tptp.hAPP @t1549 @t1961) (tptp.hAPP @t1519 @t2231)))) @t3633)))))) % 6.71/6.99 (assume @p2849 (forall @t2344 @t3744)) % 6.71/6.99 (assume @p2850 (forall @t1666 (=> @t3200 (and (=> @t3746 (= @t3745 @t3742)) (=> (not @t3746) (= @t3745 (tptp.hAPP @t3194 (tptp.c_Divides_OposDivAlg @t1538 @t3193)))))))) % 6.71/6.99 (assume @p2851 (forall @t1937 (and (=> @t3749 @t3750) (=> (not @t3749) @t3748)))) % 6.71/6.99 (assume @p2852 (forall (@list @t248) (= @t3650 (tptp.hAPP @t3759 (tptp.hAPP (tptp.hAPP @t3758 (tptp.hAPP @t3757 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3737 @t3756 tptp.tc_Int_Oint) (tptp.hAPP @t3647 (tptp.hAPP @t3646 (tptp.hAPP (tptp.hAPP @t3755 @t1592) @t3751)))) (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 (tptp.hAPP @t3738 (tptp.hAPP (tptp.hAPP @t3618 (tptp.hAPP @t3752 @t2648)) @t1538)))) @t3751)))) (tptp.hAPP @t3738 @t2648)))))) % 6.71/6.99 (assume @p2853 (forall (@list @t41 @t10 @t21 @t97 @t51 @t20) (=> (=> @t3763 @t3761) @t3760))) % 6.71/6.99 (assume @p2854 (forall @t3764 (=> @t3760 (=> (not @t3761) @t3762)))) % 6.71/6.99 (assume @p2855 (forall (@list @t41 @t10 @t20 @t97 @t51 @t21) (=> @t3761 (=> @t3762 @t3765)))) % 6.71/6.99 (assume @p2856 (forall @t3764 (=> @t3765 (not (=> @t3761 @t3763))))) % 6.71/6.99 (assume @p2857 (forall @t3482 (not @t3481))) % 6.71/6.99 (assume @p2858 (forall @t3457 (= @t3212 (forall @t7 (=> @t250 @t3456))))) % 6.71/6.99 (assume @p2859 (forall @t3768 (= @t3218 @t3767))) % 6.71/6.99 (assume @p2860 (forall @t3768 (= @t3229 (exists @t7 (and @t250 @t3766))))) % 6.71/6.99 (assume @p2861 (forall (@list @t97 @t51 @t57 @t60 @t41 @t10) (=> @t3771 (=> @t3770 @t3769)))) % 6.71/6.99 (assume @p2862 (forall (@list @t57 @t41 @t10 @t97 @t51 @t60) (=> @t3770 (=> @t3771 @t3769)))) % 6.71/6.99 (assume @p2863 (forall (@list @t20 @t10 @t21) (=> (= @t21 @t3775) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t21) @t20))))) % 6.71/6.99 (assume @p2864 (forall @t3764 (=> @t3765 @t3761))) % 6.71/6.99 (assume @p2865 (forall @t3764 (=> @t3765 @t3762))) % 6.71/6.99 (assume @p2866 (forall (@list @t21 @t41 @t10 @t97 @t51 @t20) (=> @t3762 @t3760))) % 6.71/6.99 (assume @p2867 (forall (@list @t20 @t41 @t10 @t97 @t51 @t21) (=> @t3761 @t3760))) % 6.71/6.99 (assume @p2868 (forall @t1924 (= (tptp.c_Divides_OposDivAlg @t1508 @t85) @t3776))) % 6.71/6.99 (assume @p2869 (forall @t2011 (=> (tptp.hBOOL (tptp.hAPP @t1592 @t208)) (=> @t2057 (= (tptp.c_Divides_OposDivAlg @t208 @t943) @t3637))))) % 6.71/6.99 (assume @p2870 (forall @t2120 (=> @t3734 (and (=> @t3779 (= @t3777 (tptp.hAPP @t3741 @t2118))) (=> (not @t3779) (= @t3777 (tptp.hAPP @t3730 (tptp.c_Divides_OposDivAlg @t2118 @t3729)))))))) % 6.71/6.99 (assume @p2871 (forall @t1993 (=> @t1995 (and (=> @t2027 @t3750) (=> (not @t2027) @t3748))))) % 6.71/6.99 (assume @p2872 (forall (@list @t2 @t2989 @t21 @t248 @t173 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3786 @t21)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3783 @t3782) (tptp.hAPP (tptp.c_Set_Oimage @t2097 @t2989 @t3781) @t21)))))) % 6.71/6.99 (assume @p2873 (forall @t302 (=> @t1780 (and (=> @t2051 (= @t3793 @t925)) (=> @t3794 (and (=> @t2048 (= @t3793 (tptp.hAPP @t505 (tptp.hAPP @t1837 (tptp.hAPP @t1519 @t151))))) (=> (not @t2048) (= @t3793 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3792 @t3791) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3790 (tptp.tc_fun @t3792 @t3791) tptp.tc_Int_Oint) (tptp.c_COMBB @t3362 @t10 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3790 tptp.tc_Int_Oint) @t3599) @t1837))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3362 @t3362) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3674 (tptp.tc_fun @t3362 @t3362) tptp.tc_Int_Oint) @t3596) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t3362 @t3674) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3674 (tptp.tc_fun @t3362 @t3674) tptp.tc_Int_Oint) @t3701) (tptp.hAPP @t3675 @t3789))) @t3787))) (tptp.hAPP (tptp.hAPP @t3641 (tptp.hAPP (tptp.hAPP @t3701 @t1313) @t3787)) @t1322)))) (tptp.c_Divides_Odivmod__int @t151 @t2647)))))))))) % 6.71/6.99 (assume @p2874 (forall (@list @t97 @t51 @t3274 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t10 @t41 @t3274) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3307 @t3274))))) % 6.71/6.99 (assume @p2875 (forall (@list @t41 @t10 @t248 @t173 @t287) (=> (tptp.hBOOL @t3796) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3795 @t287) @t3785))))) % 6.71/6.99 (assume @p2876 (forall (@list @t41 @t10 @t248 @t173 @t2) (=> @t3798 @t3797))) % 6.71/6.99 (assume @p2877 (forall (@list @t2989 @t41 @t248 @t173 @t291 @t513 @t10) (=> (tptp.hBOOL (tptp.hAPP @t824 @t3801)) (tptp.hBOOL (tptp.hAPP @t824 (tptp.hAPP @t3800 @t3799)))))) % 6.71/6.99 (assume @p2878 (forall (@list @t291 @t248 @t173 @t3274 @t2989 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3802 @t3274) @t3785) @t291)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3274 @t173) @t248) @t291))))) % 6.71/6.99 (assume @p2879 (forall @t3803 (=> @t3797 @t3798))) % 6.71/6.99 (assume @p2880 (forall (@list @t1638 @t1900 @t85 @t81 @t10 @t31) (=> (= @t3805 (tptp.hAPP (tptp.hAPP @t3804 @t1900) @t1638)) (not (=> (= @t81 @t1900) (not (= @t85 @t1638))))))) % 6.71/6.99 (assume @p2881 (forall @t3432 (= (= @t3785 @t3806) @t3431))) % 6.71/6.99 (assume @p2882 (forall (@list @t41 @t10 @t60) (= @t1773 (forall @t3808 (tptp.hBOOL (tptp.hAPP @t60 @t3807)))))) % 6.71/6.99 (assume @p2883 (forall (@list @t291 @t2989 @t41 @t10 @t2453 @t2934) (=> (= @t2934 @t2453) (= (tptp.hAPP @t3809 @t2934) (tptp.hAPP @t3809 @t2453))))) % 6.71/6.99 (assume @p2884 (forall (@list @t1628 @t2417) (= (tptp.c_Divides_Odivmod__int @t2417 @t1628) (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t2312 @t2417) @t1628)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2417 @t1628))))) % 6.71/6.99 (assume @p2885 (forall @t3812 (= (tptp.hAPP @t3811 @t3799) @t3782))) % 6.71/6.99 (assume @p2886 (forall @t3813 (= (tptp.hAPP (tptp.hAPP @t3810 @t287) @t3799) @t3796))) % 6.71/6.99 (assume @p2887 (forall @t3815 (= (tptp.hAPP @t3780 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 @t3814 @t10) (tptp.hAPP (tptp.c_COMBB @t2097 @t2989 @t41) @t2)) @t3303)) @t2))) % 6.71/6.99 (assume @p2888 (forall @t3368 (tptp.c_Fun_Oinj__on @t2097 @t3817 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t3817) @t3818) @t21))) % 6.71/6.99 (assume @p2889 (forall (@list @t2934 @t1 @t3436 @t3425 @t2 @t10 @t2989 @t41) (= (tptp.hAPP @t3811 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3425 @t3436 @t3487) @t1) @t2934)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3425 @t3436 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3436 @t3487) (tptp.tc_fun @t3436 @t10) @t3425) (tptp.hAPP (tptp.c_COMBB @t3487 @t10 @t3436) @t3811)) @t1)) @t2934)))) % 6.71/6.99 (assume @p2890 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP @t3820 (tptp.hAPP @t3660 (tptp.hAPP @t3662 @t1530))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t1589) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3819 @t3819 tptp.tc_Int_Oint) @t3788) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3191 @t3819 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t1589 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t1538))))) % 6.71/6.99 (assume @p2891 (forall @t712 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t176 @t193) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t3823) @t3822)))) % 6.71/6.99 (assume @p2892 (forall @t1937 (and (=> @t2028 (and (=> @t3828 (= @t3825 @t3747)) (=> (not @t3828) (and (=> @t2348 (= @t3825 @t3776)) (=> @t2349 (= @t3825 @t3827)))))) (=> (not @t2028) (and (=> @t1995 (= @t3825 @t3716)) (=> @t3826 (= @t3825 @t3824))))))) % 6.71/6.99 (assume @p2893 (forall (@list @t1436 @t1628) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t3830) (tptp.hAPP @t3829 (tptp.hAPP @t1519 @t1436))))) % 6.71/6.99 (assume @p2894 (forall @t2730 (= (tptp.c_Nitpick_Orefl_H @t10 @t2727) (forall @t7 @t3836)))) % 6.71/6.99 (assume @p2895 (forall @t712 (=> @t918 (=> @t206 (= @t3838 (tptp.hAPP (tptp.hAPP @t3837 @t2445) @t2131)))))) % 6.71/6.99 (assume @p2896 (forall @t1606 (and @t3847 (=> @t3794 (and @t3846 (=> @t3845 (= @t3843 (tptp.hAPP @t3842 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3644 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t1530 @t227)) @t1755)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t1521 @t227) @t1508)) @t2047))) @t3839) @t3840))))))))) % 6.71/6.99 (assume @p2897 (forall (@list @t97 @t51 @t2 @t10 @t41 @t2989) (= (tptp.hAPP @t3850 @t3849) (tptp.hAPP @t3304 @t117)))) % 6.71/6.99 (assume @p2898 (forall @t3851 (= (tptp.hAPP @t3850 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3425 @t2989 @t10 @t1) @t51)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3425 @t41 @t10 @t3426) @t51)))) % 6.71/6.99 (assume @p2899 (forall @t922 (= (tptp.c_Divides_Odivmod__nat @t193 @t890) @t3853))) % 6.71/6.99 (assume @p2900 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t1519))) % 6.71/6.99 (assume @p2901 (forall @t197 (=> @t603 (= @t3838 @t3853)))) % 6.71/6.99 (assume @p2902 (forall @t197 (= @t3838 @t3854))) % 6.71/6.99 (assume @p2903 (forall @t192 (and (=> @t3858 (= @t3857 (tptp.hAPP @t3852 @t181))) (=> (not @t3858) (= @t3857 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3855) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3856 tptp.tc_Nat_Onat) @t3837) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t924 @t115))))))) % 6.71/6.99 (assume @p2904 (forall @t2011 (= @t3861 (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t2312 @t3860) @t3859)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3860 @t3859))))) % 6.71/6.99 (assume @p2905 (forall @t2059 (and (=> @t3862 (= @t3861 (tptp.hAPP @t3741 @t3860))) (=> (not @t3862) (= @t3861 (tptp.c_Divides_OposDivAlg @t3860 @t3859)))))) % 6.71/6.99 (assume @p2906 (forall @t1606 (and @t3847 (=> @t3794 (and @t3846 (=> @t3845 (= @t3843 (tptp.hAPP @t3842 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3644 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t151)) @t3841)) @t3839) @t3840))))))))) % 6.71/6.99 (assume @p2907 (forall @t3697 (= (tptp.hAPP @t3863 @t3696) (tptp.hAPP @t3680 (tptp.hAPP (tptp.hAPP @t3677 (tptp.hAPP @t3676 (tptp.hAPP @t3863 @t115))) (tptp.hAPP (tptp.hAPP @t3677 (tptp.hAPP @t3865 @t3695)) (tptp.hAPP @t3864 @t3695))))))) % 6.71/6.99 (assume @p2908 (forall @t3867 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t85) @t3866)) (=> (tptp.hBOOL (tptp.hAPP @t910 @t85)) (=> @t2167 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t2165) (tptp.hAPP (tptp.hAPP @t3837 (tptp.hAPP (tptp.hAPP @t2405 @t1628) @t82)) @t2166)))))))) % 6.71/6.99 (assume @p2909 (forall @t3870 (=> (tptp.hBOOL (tptp.hAPP @t3869 @t3866)) (=> @t2167 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2442 @t82) (tptp.hAPP (tptp.hAPP @t3837 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2441 @t1628)) (tptp.hAPP (tptp.hAPP @t2405 @t3868) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3868 @t82)))))))) % 6.71/6.99 (assume @p2910 (forall (@list @t3871 @t3872 @t176 @t193) (=> @t3874 (=> (tptp.hBOOL (tptp.hAPP @t3873 @t3871)) (= @t3872 @t3871))))) % 6.71/6.99 (assume @p2911 (forall @t976 (= (tptp.hAPP @t3875 @t890) @t287))) % 6.71/6.99 (assume @p2912 (forall @t288 (= (tptp.hAPP @t3875 @t203) (tptp.hAPP @t286 (tptp.hAPP @t3875 @t202))))) % 6.71/6.99 (assume @p2913 (forall (@list @t3872 @t176 @t193) (=> @t3874 (= @t3838 @t3872)))) % 6.71/6.99 (assume @p2914 (forall @t197 (tptp.hBOOL (tptp.hAPP @t3873 @t3838)))) % 6.71/6.99 (assume @p2915 (forall @t3877 (=> @t3876 (= @t2109 @t1436)))) % 6.71/6.99 (assume @p2916 (forall @t3877 (=> @t3876 (= @t2413 @t1628)))) % 6.71/6.99 (assume @p2917 (forall @t197 (tptp.hBOOL (tptp.hAPP @t3873 @t3854)))) % 6.71/6.99 (assume @p2918 (forall @t3883 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t81 @t82) (tptp.hAPP (tptp.hAPP @t3837 @t3882) @t3879))) (=> (tptp.hBOOL (tptp.hAPP @t3869 (tptp.hAPP (tptp.hAPP @t3837 @t3881) @t3878))) (=> @t2167 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t2434 @t82) (tptp.hAPP (tptp.hAPP @t3837 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1248 @t3882) @t3881)) (tptp.hAPP (tptp.hAPP @t2405 @t3880) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3880 @t82))))))))) % 6.71/6.99 (assume @p2919 (forall @t3681 (= (tptp.hAPP @t3863 @t2236) (tptp.hAPP @t3680 (tptp.hAPP @t3678 (tptp.hAPP (tptp.hAPP @t3677 (tptp.hAPP @t3865 tptp.c_Int_Onat)) (tptp.hAPP @t3864 tptp.c_Int_Onat))))))) % 6.71/6.99 (assume @p2920 (forall @t3884 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t31 @t10)) (tptp.c_Nitpick_Opair__box_OPairBox @t31 @t10 @t81 @t85)) @t890))) % 6.71/6.99 (assume @p2921 (forall @t3813 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t41 @t2989 @t10 @t287 @t3885) @t3796))) % 6.71/6.99 (assume @p2922 (forall @t3813 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t41 @t2989 @t10 @t287 @t3885) @t3796))) % 6.71/6.99 (assume @p2923 (forall @t2373 (=> (tptp.hBOOL (tptp.hAPP @t3892 @t3891)) (and (=> @t3890 (= @t3887 (tptp.hAPP @t3199 @t3889))) (=> (not @t3890) (= @t3887 (tptp.hAPP @t3650 (tptp.c_Divides_OnegDivAlg @t173 @t3886)))))))) % 6.71/6.99 (assume @p2924 (forall @t3867 (=> @t3894 (=> @t2394 (=> @t1875 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t2055) (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t2312 @t1628) @t82)) @t1874)))))))) % 6.71/6.99 (assume @p2925 (forall (@list @t20 @t337 @t2 @t41 @t10) (=> @t105 (=> (tptp.c_Orderings_Oorder__class_Omono @t10 @t393 @t2) (tptp.c_Orderings_Oorder__class_Omono @t10 @t393 (tptp.hAPP (tptp.hAPP @t3259 (tptp.hAPP @t3257 (tptp.hAPP (tptp.hAPP @t3259 (tptp.hAPP @t3257 @t2)) @t337))) @t20)))))) % 6.71/6.99 (assume @p2926 (forall @t3896 (=> @t3894 (=> @t3895 (=> @t2394 (= @t1436 @t1640)))))) % 6.71/6.99 (assume @p2927 (forall @t3896 (=> @t3894 (=> @t3895 (=> @t2394 (= @t1628 @t1637)))))) % 6.71/6.99 (assume @p2928 (forall @t3898 (=> @t3897 (=> @t2349 (= @t1436 @t1508))))) % 6.71/6.99 (assume @p2929 (forall @t1924 (=> @t2394 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1508 @t85) @t3776))))) % 6.71/6.99 (assume @p2930 (forall (@list @t3872 @t85 @t81) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1936 @t1935) @t3872)) (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP tptp.c_Divides_OnegateSnd @t3872)))))) % 6.71/6.99 (assume @p2931 (forall @t1993 (=> @t2394 (tptp.hBOOL (tptp.hAPP @t3893 @t3825))))) % 6.71/6.99 (assume @p2932 (forall @t3898 (=> @t3897 (=> @t2349 (= @t1628 @t1538))))) % 6.71/6.99 (assume @p2933 (forall @t3899 (=> @t3894 (=> @t2394 (= @t1934 @t1436))))) % 6.71/6.99 (assume @p2934 (forall @t3899 (=> @t3894 (=> @t2394 (= @t2333 @t1628))))) % 6.71/6.99 (assume @p2935 (forall @t1937 (=> @t2347 (=> @t1995 (tptp.hBOOL (tptp.hAPP @t3893 @t3716)))))) % 6.71/6.99 (assume @p2936 (forall @t1993 (=> @t2394 (tptp.hBOOL (tptp.hAPP @t3893 (tptp.hAPP (tptp.hAPP @t3198 @t2333) @t1934)))))) % 6.71/6.99 (assume @p2937 (forall @t1937 (=> @t2028 (=> @t1995 (tptp.hBOOL (tptp.hAPP @t3893 @t3747)))))) % 6.71/6.99 (assume @p2938 (forall @t3883 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t81 @t82) (tptp.hAPP (tptp.hAPP @t3198 @t3882) @t3879))) (=> (tptp.hBOOL (tptp.hAPP @t3902 (tptp.hAPP (tptp.hAPP @t3198 @t3881) @t3878))) (=> @t3901 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2041 @t82) (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t1549 @t3882) @t3881)) (tptp.hAPP (tptp.hAPP @t2312 @t3900) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3900 @t82))))))))) % 6.71/6.99 (assume @p2939 (forall (@list @t2727 @t2453 @t248 @t173) (=> (tptp.hBOOL (tptp.hAPP @t3905 @t3649)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t3743 @t248) (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t3903 @t3904) (tptp.hAPP (tptp.hAPP @t1514 @t3904) @t1538))) (tptp.hAPP (tptp.hAPP @t3903 @t1508) (tptp.hAPP (tptp.hAPP @t1514 @t248) @t2727)))))))) % 6.71/6.99 (assume @p2940 (forall @t3899 (=> (= @t81 @t1652) (=> (and (=> @t1995 (and @t1630 @t1650)) (=> @t3826 (and @t1696 @t1697))) @t3894)))) % 6.71/6.99 (assume @p2941 (forall @t3870 (=> (tptp.hBOOL (tptp.hAPP @t3902 @t3830)) (=> @t3901 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1929 @t82) (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP (tptp.hAPP @t1549 @t1632) (tptp.hAPP (tptp.hAPP @t2312 @t3906) @t82))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t3906 @t82)))))))) % 6.71/6.99 (assume @p2942 (forall @t2373 (= @t3905 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t1589 @t1589) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3908 @t3909 tptp.tc_Int_Oint) @t3660) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1589 @t3908 tptp.tc_Int_Oint) @t3662) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3191 @t1589 tptp.tc_Int_Oint) (tptp.hAPP @t3755 @t3591)) (tptp.hAPP @t3752 (tptp.hAPP @t1525 @t248)))))) (tptp.hAPP (tptp.hAPP @t3660 (tptp.hAPP @t3662 (tptp.hAPP (tptp.hAPP @t3657 (tptp.hAPP tptp.c_fimplies @t2342)) (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t3788 @t1521) @t248))))) (tptp.hAPP (tptp.hAPP @t3657 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t2342))) (tptp.hAPP (tptp.hAPP @t3660 (tptp.hAPP @t3662 @t2345)) (tptp.hAPP (tptp.hAPP @t3788 @t1536) @t1508))))))))) % 6.71/6.99 (assume @p2943 (forall @t2373 (=> (tptp.hBOOL (tptp.hAPP @t3912 @t3891)) (and (=> @t3911 (= @t3910 (tptp.hAPP @t3741 @t173))) (=> (not @t3911) (= @t3910 (tptp.hAPP @t3650 (tptp.c_Divides_OposDivAlg @t173 @t3886)))))))) % 6.71/6.99 (assume @p2944 (forall @t2373 (=> (tptp.hBOOL (tptp.hAPP @t3913 @t3891)) @t3744))) % 6.71/6.99 (assume @p2945 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t3892 @t3921)) (=> (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP @t3892 @t3920)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t1592 (tptp.hAPP (tptp.hAPP @t1549 @t1231) @t893))) @t3919)) @t3918) @t3917))) @t3915)))) % 6.71/6.99 (assume @p2946 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t3912 @t3921)) (=> (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP @t3912 @t3920)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1231) @t893)) @t3919)) @t3918) @t3917))) @t3915)))) % 6.71/6.99 (assume @p2947 (forall @t3927 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3926 @t3923) @t3924)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Wellfounded_Oaccp @t10 @t3924)) (tptp.c_Wellfounded_Oaccp @t10 @t3923)))))) % 6.71/6.99 (assume @p2948 (forall @t2154 (=> @t3929 (= (tptp.hAPP (tptp.hAPP @t3351 @t2) @t21) (tptp.hAPP @t1511 (tptp.hAPP (tptp.hAPP @t2876 @t3928) @t21)))))) % 6.71/6.99 (assume @p2949 (forall @t3933 (= @t3932 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t3931 @t173)) (tptp.hBOOL (tptp.hAPP @t3930 @t3))))))) % 6.71/6.99 (assume @p2950 (forall (@list @t173 @t248 @t2727 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3930 @t248)) (=> @t3934 @t3932)))) % 6.71/6.99 (assume @p2951 (forall @t1627 (=> (tptp.hBOOL (tptp.hAPP @t3938 @t3937)) (and (=> @t3936 (= @t3935 @t51)) (=> (not @t3936) (= @t3935 (tptp.c_Nitpick_Onat__gcd @t97 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t51 @t97)))))))) % 6.71/6.99 (assume @p2952 (forall @t3941 (= (tptp.c_Nat_Onat_Onat__size @t3940) (tptp.hAPP (tptp.hAPP @t1248 (tptp.c_Nat_Onat_Onat__size @t3939)) @t936)))) % 6.71/6.99 (assume @p2953 (forall @t1666 (=> @t3945 (= @t3944 (tptp.hAPP @t3943 @t3942))))) % 6.71/6.99 (assume @p2954 (forall @t3949 (= (tptp.hAPP @t3948 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2989 @t10 @t41 @t2) @t51)) (tptp.hAPP @t2 @t3947)))) % 6.71/6.99 (assume @p2955 (forall (@list @t1 @t51 @t2 @t10 @t41 @t2989) (= (= @t3951 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2989 @t41 @t10 @t1) @t51)) (= (tptp.hAPP @t2 @t3950) (tptp.hAPP @t1 @t3950))))) % 6.71/6.99 (assume @p2956 (forall (@list @t2934 @t10 @t41) (= @t3952 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t10 @t10) (tptp.hAPP (tptp.c_COMBK @t3362 @t41) @t3387)) @t2934)))) % 6.71/6.99 (assume @p2957 (forall (@list @t85 @t81 @t31 @t10) (= (tptp.hAPP @t3954 (tptp.hAPP (tptp.hAPP @t3953 @t81) @t85)) @t85))) % 6.71/6.99 (assume @p2958 (forall (@list @t81 @t64 @t30 @t31 @t10) (=> (= (tptp.hAPP @t3954 (tptp.hAPP (tptp.hAPP @t3953 @t30) @t64)) @t81) (= @t64 @t81)))) % 6.71/6.99 (assume @p2959 (forall @t1937 (= @t1934 (tptp.hAPP @t3943 @t3825)))) % 6.71/6.99 (assume @p2960 (= (tptp.c_Nat_Onat_Onat__size @t890) @t890)) % 6.71/6.99 (assume @p2961 (forall @t1937 (=> @t2347 (=> @t1995 (= @t1934 (tptp.hAPP @t3943 @t3716)))))) % 6.71/6.99 (assume @p2962 (forall @t1937 (=> @t1634 (=> @t3828 (= @t1934 (tptp.hAPP @t3943 @t3747)))))) % 6.71/6.99 (assume @p2963 (forall @t1666 (=> @t2653 (= @t3944 (tptp.hAPP @t3943 @t3745))))) % 6.71/6.99 (assume @p2964 (forall @t1937 (=> @t1634 (=> @t1992 (= @t1934 (tptp.hAPP @t3943 @t3827)))))) % 6.71/6.99 (assume @p2965 (forall @t1937 (=> @t2347 (=> @t3718 (= @t1934 (tptp.hAPP @t3943 @t3824)))))) % 6.71/6.99 (assume @p2966 (forall (@list @t2 @t97 @t51 @t10) (= (tptp.hBOOL (tptp.hAPP @t3959 @t3957)) @t3955))) % 6.71/6.99 (assume @p2967 (forall @t2154 (=> @t3929 (= (tptp.hAPP (tptp.hAPP @t3518 @t2) @t21) (tptp.hAPP @t1511 (tptp.hAPP (tptp.hAPP @t2930 @t3928) @t21)))))) % 6.71/6.99 (assume @p2968 (forall @t3962 (=> @t3961 (=> @t2064 (=> @t351 (= @t2196 @t3960)))))) % 6.71/6.99 (assume @p2969 (forall (@list @t1 @t51 @t97 @t2989 @t791 @t2 @t41 @t10) (=> @t3961 (= (tptp.hAPP @t3963 @t3965) (tptp.hAPP @t3964 (tptp.hAPP @t3963 @t1)))))) % 6.71/6.99 (assume @p2970 (forall (@list @t51 @t97 @t791 @t2 @t41 @t10) (=> @t3961 (= @t3549 @t3551)))) % 6.71/6.99 (assume @p2971 (forall (@list @t2075 @t1 @t3966 @t2 @t2989 @t3425 @t3436 @t791 @t3186 @t41 @t10) (=> (tptp.c_Finite__Set_Ofolding @t10 @t41 @t3186 @t791) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t3436 @t3425 @t2989 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t3966 @t3436 @t2989 @t1) @t2075)) (tptp.hAPP (tptp.c_Fun_Ocomp @t3966 @t3425 @t2989 (tptp.hAPP (tptp.c_Fun_Ocomp @t3436 @t3425 @t3966 @t2) @t1)) @t2075))))) % 6.71/6.99 (assume @p2972 (forall @t197 (= @t2109 (tptp.hAPP @t3967 @t3838)))) % 6.71/6.99 (assume @p2973 (forall (@list @t1 @t2989 @t20 @t21 @t791 @t2 @t41 @t10) (=> @t3961 (=> @t2064 (=> @t2126 (= (tptp.hAPP @t3968 @t3970) (tptp.hAPP @t3969 (tptp.hAPP @t3968 @t1)))))))) % 6.71/6.99 (assume @p2974 (forall @t3973 (=> @t3961 (=> @t2064 (=> @t2126 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t2215) @t2196) @t3972)))))) % 6.71/6.99 (assume @p2975 (forall (@list @t1 @t51 @t2989 @t21 @t791 @t2 @t41 @t10) (=> @t3961 (=> @t2064 (= (tptp.hAPP @t3964 @t3970) (tptp.hAPP @t3969 @t3965)))))) % 6.71/6.99 (assume @p2976 (forall @t3962 (=> @t3961 (=> @t2064 (= (tptp.hAPP @t3550 @t2196) @t3974))))) % 6.71/6.99 (assume @p2977 (forall (@list @t3975 @t21 @t791 @t2 @t41 @t10) (=> @t3961 (=> @t2064 (= (tptp.hAPP @t2196 @t3975) (tptp.hAPP (tptp.hAPP @t3021 @t3975) @t21)))))) % 6.71/6.99 (assume @p2978 (forall @t3962 (=> @t3961 (=> @t2064 (=> @t674 @t3976))))) % 6.71/6.99 (assume @p2979 (forall @t3973 (=> @t3961 (=> @t2064 (=> @t2126 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t41 @t41 @t2218) @t2217) @t3972)))))) % 6.71/6.99 (assume @p2980 (forall @t3962 (=> @t3961 (=> @t2064 (= @t2253 @t3960))))) % 6.71/6.99 (assume @p2981 (forall @t3973 (=> @t3961 (=> @t2064 (=> @t2126 (=> @t399 @t3977)))))) % 6.71/6.99 (assume @p2982 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t3913 @t3921)) (=> (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP @t3913 @t3920)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t893) @t1508)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t1519 @t1231)) (tptp.hAPP @t1519 @t893)))) @t3917))) @t3915)))) % 6.71/6.99 (assume @p2983 (forall @t1666 (=> @t3945 (= @t3979 (tptp.hAPP @t3978 @t3942))))) % 6.71/6.99 (assume @p2984 (forall @t1599 (= @t1766 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3855 @t757) @t3983) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t757 @t3982) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3981 (tptp.tc_fun @t757 @t3982) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t757 @t757)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3629 @t3981 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3980 tptp.tc_Nat_Onat) @t667)) @t911))) @t758))))))) % 6.71/6.99 (assume @p2985 (forall (@list @t41 @t10 @t771 @t3975) (= (= @t3975 @t771) (and (= (tptp.hAPP @t3985 @t3975) (tptp.hAPP @t3985 @t771)) (= (tptp.hAPP @t3984 @t3975) (tptp.hAPP @t3984 @t771)))))) % 6.71/6.99 (assume @p2986 (forall (@list @t1628 @t2417 @t10 @t31) (=> (= @t3989 (tptp.hAPP @t3988 @t1628)) (=> (= @t3987 (tptp.hAPP @t3986 @t1628)) (= @t2417 @t1628))))) % 6.71/6.99 (assume @p2987 (forall @t3990 (= (tptp.hAPP @t3985 @t3951) (tptp.hAPP (tptp.c_Product__Type_Ofst @t10 @t2989) @t51)))) % 6.71/6.99 (assume @p2988 (forall (@list @t2934 @t41 @t10) (= @t3991 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t10) @t3367) @t2934)))) % 6.71/6.99 (assume @p2989 (forall @t1627 (= (= @t3992 (tptp.hAPP tptp.c_Int_ORep__Integ @t97)) @t98))) % 6.71/6.99 (assume @p2990 (forall @t3884 (= (tptp.hAPP @t3988 @t3805) @t81))) % 6.71/6.99 (assume @p2991 (forall (@list @t81 @t64 @t30 @t10 @t31) (=> (= (tptp.hAPP @t3988 @t3993) @t81) (= @t30 @t81)))) % 6.71/6.99 (assume @p2992 (forall (@list @t10 @t31 @t175) (= @t175 (tptp.hAPP (tptp.hAPP @t3804 (tptp.hAPP @t3988 @t175)) (tptp.hAPP @t3986 @t175))))) % 6.71/6.99 (assume @p2993 (forall (@list @t2417 @t10 @t31) (= (tptp.hAPP (tptp.hAPP @t3804 @t3989) @t3987) @t2417))) % 6.71/6.99 (assume @p2994 (forall (@list @t2934 @t2 @t10 @t2989 @t41) (= (tptp.hAPP @t3811 @t2934) (tptp.hAPP (tptp.hAPP @t2 @t3996) @t3994)))) % 6.71/6.99 (assume @p2995 (forall @t1937 (= @t2333 (tptp.hAPP @t3978 @t3825)))) % 6.71/6.99 (assume @p2996 (forall (@list @t1 @t2 @t3425 @t2989 @t41 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2097 @t41 @t2989) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3425 @t3814 @t2097) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3425 @t2097) @t1) @t3985))) @t3984) (tptp.hAPP @t3780 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3425 @t3814 @t10) @t2) @t1))))) % 6.71/6.99 (assume @p2997 (forall (@list @t513 @t60 @t10 @t2989 @t41) (= (tptp.hAPP (tptp.hAPP @t3810 @t60) @t513) (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t3995 @t513)) (tptp.hAPP @t3946 @t513))))) % 6.71/6.99 (assume @p2998 (forall (@list @t2934 @t291 @t10 @t2989 @t41) (= (tptp.hAPP (tptp.hAPP @t3810 @t291) @t2934) (tptp.hAPP (tptp.hAPP @t291 @t3996) @t3994)))) % 6.71/6.99 (assume @p2999 (forall (@list @t51 @t1 @t2 @t3425 @t10 @t2989 @t41) (= (tptp.hAPP (tptp.hAPP @t3810 (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t3413 @t41 @t2) @t1)) @t51) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t3995 @t51))) @t3947)))) % 6.71/6.99 (assume @p3000 (forall @t1937 (=> @t2347 (=> @t1995 (= @t2333 (tptp.hAPP @t3978 @t3716)))))) % 6.71/6.99 (assume @p3001 (forall @t1937 (=> @t1634 (=> @t3828 (= @t2333 (tptp.hAPP @t3978 @t3747)))))) % 6.71/6.99 (assume @p3002 (forall @t1666 (=> @t2653 (= @t3979 (tptp.hAPP @t3978 @t3745))))) % 6.71/6.99 (assume @p3003 (forall @t1937 (=> @t1634 (=> @t1992 (= @t2333 (tptp.hAPP @t3978 @t3827)))))) % 6.71/6.99 (assume @p3004 (forall @t1937 (=> @t2347 (=> @t3718 (= @t2333 (tptp.hAPP @t3978 @t3824)))))) % 6.71/6.99 (assume @p3005 (forall (@list @t2934 @t1 @t2 @t41 @t10) (= (tptp.c_Product__Type_Oprod_Oprod__size @t10 @t41 @t2 @t1 @t2934) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t2 @t3991)) (tptp.hAPP @t1 (tptp.hAPP @t3984 @t2934)))) @t936)))) % 6.71/6.99 (assume @p3006 (forall (@list @t10 @t41 @t51 @t97 @t60) (=> (tptp.hBOOL (tptp.hAPP @t4000 @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t3948 @t3998)) (tptp.hAPP @t3999 @t3998)))))) % 6.71/6.99 (assume @p3007 (forall (@list @t41 @t10 @t2453 @t57 @t2934 @t60) (=> (tptp.hBOOL (tptp.hAPP @t60 @t2934)) (=> (tptp.hBOOL (tptp.hAPP @t57 @t2453)) (and (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t3985 @t4001))) (tptp.hBOOL (tptp.hAPP @t57 (tptp.hAPP @t3984 @t4001)))))))) % 6.71/6.99 (assume @p3008 (forall @t197 (= @t2413 (tptp.hAPP @t4002 @t3838)))) % 6.71/6.99 (assume @p3009 (forall (@list @t4003 @t115 @t181) (= (tptp.hBOOL (tptp.hAPP @t4006 @t4003)) (and (= @t181 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP (tptp.hAPP @t1028 @t4005) @t115)) @t4004)) (=> @t971 (= @t4005 @t890)) (=> @t972 (and (=> @t970 (and (tptp.hBOOL (tptp.hAPP @t909 @t4004)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t4004) @t115)))) (=> (not @t970) (and (tptp.hBOOL (tptp.hAPP @t714 @t4004)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t4004) @t890)))))))))) % 6.71/6.99 (assume @p3010 (forall @t4012 (=> (forall @t40 (tptp.hBOOL (tptp.hAPP @t4011 @t4009))) (tptp.hBOOL (tptp.hAPP @t4008 @t4007))))) % 6.71/6.99 (assume @p3011 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t3938 (tptp.hAPP (tptp.hAPP @t3837 @t3914) @t938))) (=> (forall @t284 (=> (tptp.hBOOL (tptp.hAPP @t3938 @t4014)) (=> (=> (not (= @t282 @t890)) (tptp.hBOOL (tptp.hAPP @t4013 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t3 @t282)))) (tptp.hBOOL (tptp.hAPP @t167 @t282))))) @t3915)))) % 6.71/6.99 (assume @p3012 (forall (@list @t804 @t208) (=> (tptp.hBOOL (tptp.hAPP @t4016 @t208)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3000 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t4015) (tptp.hAPP (tptp.c_Random_Orange @t208) @t804))) @t208))))) % 6.71/6.99 (assume @p3013 (forall @t4021 (=> @t4020 (=> @t4019 @t4018)))) % 6.71/6.99 (assume @p3014 (forall @t4021 (=> @t3955 @t4018))) % 6.71/6.99 (assume @p3015 (forall @t3470 (=> @t247 (=> @t246 (=> (exists @t7 (and @t729 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 @t728)) @t4023)))) (= (tptp.c_Orderings_Oord__class_OLeast @t41 (tptp.hAPP @t3501 @t4022)) (tptp.hAPP @t2 (tptp.c_Orderings_Oord__class_OLeast @t10 @t3276)))))))) % 6.71/6.99 (assume @p3016 (forall @t4027 (=> @t4026 (=> @t1726 @t4025)))) % 6.71/6.99 (assume @p3017 (forall @t4029 (=> @t4026 (=> @t4028 @t4025)))) % 6.71/6.99 (assume @p3018 (forall @t4029 (=> @t4026 (=> @t4028 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4024) @t151)))))) % 6.71/6.99 (assume @p3019 (forall (@list @t60 @t151 @t10) (=> @t4026 (=> (tptp.hBOOL (tptp.hAPP @t766 @t4024)) (not @t4028))))) % 6.71/6.99 (assume @p3020 (forall @t1534 (=> @t1533 (=> @t1498 (= @t4030 (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) @t60) tptp.c_Nat_OSuc)))))))) % 6.71/6.99 (assume @p3021 (forall (@list @t1 @t2075 @t21 @t791 @t513 @t2 @t41 @t10) (=> @t4031 (=> @t2148 (=> (tptp.c_Fun_Oinj__on @t41 @t41 @t2075 @t21) (= (tptp.hAPP @t2519 (tptp.hAPP (tptp.c_Set_Oimage @t41 @t41 @t2075) @t21)) (tptp.hAPP (tptp.hAPP @t791 (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t10 @t41 @t1) @t2075)) @t21))))))) % 6.71/6.99 (assume @p3022 (forall @t3941 (= (tptp.hAPP @t4032 @t3940) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t4032 @t3939)) @t936)))) % 6.71/6.99 (assume @p3023 (forall @t3813 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t41 @t2989 @t10 @t287 @t3799) @t3796))) % 6.71/6.99 (assume @p3024 (forall @t180 (= (tptp.hAPP @t4032 @t176) @t176))) % 6.71/6.99 (assume @p3025 (forall @t4034 (=> @t4031 (=> @t2148 (= (tptp.hAPP (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t3365 @t3554) @t2075)) @t21) (tptp.hAPP (tptp.hAPP @t2 @t2520) @t4033)))))) % 6.71/6.99 (assume @p3026 (= (tptp.hAPP @t4032 @t890) @t890)) % 6.71/6.99 (assume @p3027 (forall @t2524 (=> @t4031 @t2522))) % 6.71/6.99 (assume @p3028 (forall (@list @t41 @t2075 @t2 @t728 @t10 @t2989) (=> @t2995 (=> @t2298 (=> (forall @t7 (=> @t729 (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t3124 @t728)) (=> (not @t4036) (=> @t4035 (= (tptp.hAPP @t2075 @t5) (tptp.c_Groups_Ozero__class_Ozero @t2989)))))))) (= (tptp.hAPP @t2992 @t4022) (tptp.hAPP @t3653 @t728))))))) % 6.71/6.99 (assume @p3029 (forall @t4012 (=> (forall @t40 (= @t4010 @t4009)) (= @t3567 @t4007)))) % 6.71/6.99 (assume @p3030 (forall @t589 (=> (forall @t40 (tptp.hBOOL (tptp.hAPP @t4011 @t108))) (tptp.hBOOL (tptp.hAPP @t4008 @t108))))) % 6.71/6.99 (assume @p3031 (forall (@list @t902 @t20 @t21 @t2989 @t108 @t2 @t41 @t10) (=> @t1185 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3783 @t3) @t21)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t2090) @t108)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3783 @t902) @t21)) @t4038))))) % 6.71/6.99 (assume @p3032 (forall (@list @t3975 @t2727 @t3428 @t3429 @t248 @t173 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP (tptp.hAPP @t4043 @t3785) @t3806)) (tptp.c_Wellfounded_Olex__prod @t10 @t41 @t2727 @t3975))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4042 @t3429)) @t2727)) (and @t3430 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t4039 @t248) @t3428)) @t3975))))))) % 6.71/6.99 (assume @p3033 (forall @t29 (= (tptp.hBOOL (tptp.hAPP @t4049 @t4045)) (and @t680 @t2126)))) % 6.71/6.99 (assume @p3034 (forall (@list @t10 @t3274 @t97 @t4051 @t41 @t51 @t60) (=> @t63 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t4039 @t4051) @t97)) @t4052)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP (tptp.hAPP @t4043 (tptp.hAPP @t3304 @t4051)) @t3305)) @t4050)))))) % 6.71/6.99 (assume @p3035 (forall @t3973 (=> @t4053 (=> @t2064 (=> @t2126 @t3977))))) % 6.71/6.99 (assume @p3036 (forall @t3973 (=> @t4053 (=> @t2064 (=> @t26 (= @t3972 @t2196)))))) % 6.71/6.99 (assume @p3037 (forall (@list @t1 @t51 @t2989 @t791 @t2 @t41 @t10) (=> @t4053 (= (tptp.hAPP @t3964 @t3965) @t3965)))) % 6.71/6.99 (assume @p3038 (forall (@list @t51 @t791 @t2 @t41 @t10) (=> @t4053 @t3557))) % 6.71/6.99 (assume @p3039 (forall @t3962 (=> @t4053 (=> @t2064 (=> @t351 (= @t3974 @t2196)))))) % 6.71/6.99 (assume @p3040 (forall @t3962 (=> @t4053 (=> @t2064 @t3976)))) % 6.71/6.99 (assume @p3041 (forall (@list @t220 @t20 @t2 @t3975 @t10 @t41) (=> @t4059 (=> @t4058 (=> @t4057 (=> (= @t4056 @t20) (=> @t4055 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t4054) @t20))))))))) % 6.71/6.99 (assume @p3042 (forall (@list @t220 @t2 @t3975 @t10 @t41) (=> @t4059 (=> @t4058 (=> @t4057 (=> (= @t4056 @t2858) (=> @t4055 (= @t4054 @t2858)))))))) % 6.71/6.99 (assume @p3043 (forall (@list @t115 @t60 @t57) (=> (forall @t7 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t4060) @t167))) (= (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP (tptp.hAPP @t2943 @t60) @t977)) (tptp.hAPP (tptp.hAPP @t2943 @t57) @t977)) (tptp.hAPP (tptp.hAPP @t2943 (tptp.hAPP (tptp.hAPP @t3544 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 tptp.tc_Nat_Onat) @t911) @t60)) @t57)) @t977))))) % 6.71/6.99 (assume @p3044 (forall @t3851 (= (tptp.hAPP @t3850 (tptp.hAPP @t4062 @t51)) (tptp.hAPP (tptp.hAPP @t3303 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t3425 @t2989) @t51))) (tptp.hAPP @t2 (tptp.hAPP @t4061 @t51)))))) % 6.71/6.99 (assume @p3045 (forall @t4068 (= (tptp.hAPP @t4067 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t3425 @t41 @t2989 @t1) @t51)) (tptp.hAPP (tptp.hAPP @t3303 @t4066) @t4064)))) % 6.71/6.99 (assume @p3046 (forall @t4075 (=> @t4074 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t3975) @t771)) @t4073)))) % 6.71/6.99 (assume @p3047 (forall @t3949 (= (tptp.hAPP @t3948 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2989 @t41 @t10 @t2) @t51)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t2989 @t10) @t51)))) % 6.71/6.99 (assume @p3048 (forall (@list @t97 @t51 @t2 @t41 @t10 @t2989) (= (tptp.hAPP @t4067 (tptp.hAPP (tptp.hAPP @t4076 @t51) @t97)) (tptp.hAPP (tptp.hAPP @t3303 @t53) @t97)))) % 6.71/6.99 (assume @p3049 (forall (@list @t1 @t51 @t2 @t41 @t10 @t2989) (= (= @t4079 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2989 @t10 @t41 @t1) @t51)) (= @t4078 (tptp.hAPP @t1 @t4077))))) % 6.71/6.99 (assume @p3050 (forall @t3990 (= (tptp.hAPP @t3985 @t4079) @t4078))) % 6.71/6.99 (assume @p3051 (forall @t4068 (= (tptp.hAPP @t4067 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3425 @t2989 @t41 @t1) @t51)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3425 @t10 @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t10 @t3425 @t2) @t1)) @t51)))) % 6.71/6.99 (assume @p3052 (forall (@list @t2934 @t1 @t3425 @t2 @t10 @t41 @t2989) (= (tptp.hAPP @t3850 (tptp.hAPP @t4062 @t2934)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t3425 @t10 @t41 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2989 @t41 @t3425 @t2) @t2934))))) % 6.71/6.99 (assume @p3053 (forall @t4075 (=> @t1495 @t4073))) % 6.71/6.99 (assume @p3054 (forall @t4075 (=> @t4074 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t3975) @t771)) @t4080)))) % 6.71/6.99 (assume @p3055 (forall @t4096 (=> @t4095 (=> @t4093 (=> (tptp.hBOOL (tptp.hAPP @t4091 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4090 tptp.c_FunDef_Omin__strict))))))) % 6.71/6.99 (assume @p3056 (forall (@list @t337 @t51 @t3386 @t97) (=> (tptp.hBOOL (tptp.hAPP @t4099 @t3386)) (=> @t4093 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4089 (tptp.hAPP @t4098 @t3386)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4089 (tptp.hAPP (tptp.hAPP @t4086 (tptp.hAPP @t4097 @t337)) @t3386)) tptp.c_FunDef_Omax__strict))))))) % 6.71/6.99 (assume @p3057 (forall (@list @t3386) (=> (tptp.hBOOL (tptp.hAPP @t4102 @t3386)) (=> (not (= @t3386 @t4100)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4089 (tptp.hAPP @t4101 @t3386)) tptp.c_FunDef_Omax__strict)))))) % 6.71/6.99 (assume @p3058 (forall @t4104 (=> (not (= @t337 @t4100)) (tptp.hBOOL (tptp.hAPP @t4103 tptp.c_FunDef_Omin__strict))))) % 6.71/6.99 (assume @p3059 (forall @t4075 (=> @t1495 @t4080))) % 6.71/6.99 (assume @p3060 (forall (@list @t4084 @t51 @t4081 @t97) (=> (tptp.hBOOL (tptp.hAPP @t4099 @t4081)) (=> @t4105 (=> (tptp.hBOOL (tptp.hAPP @t4091 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4089 (tptp.hAPP (tptp.hAPP @t4086 (tptp.hAPP @t4097 @t4084)) @t4081)) tptp.c_FunDef_Omax__weak))))))) % 6.71/6.99 (assume @p3061 (forall @t4096 (=> @t4095 (=> @t4105 (=> (tptp.hBOOL (tptp.hAPP @t4091 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4090 tptp.c_FunDef_Omin__weak))))))) % 6.71/6.99 (assume @p3062 (forall @t4104 (=> (tptp.hBOOL (tptp.hAPP @t4102 @t337)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4089 (tptp.hAPP @t4101 @t337)) tptp.c_FunDef_Omax__weak))))) % 6.71/6.99 (assume @p3063 (forall @t4104 (tptp.hBOOL (tptp.hAPP @t4103 tptp.c_FunDef_Omin__weak)))) % 6.71/6.99 (assume @p3064 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4108 (tptp.c_Wellfounded_Omin__ext @t3855 tptp.c_FunDef_Opair__leq)) @t4107))) % 6.71/6.99 (assume @p3065 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4108 (tptp.c_Wellfounded_Omax__ext @t3855 tptp.c_FunDef_Opair__leq)) @t4107))) % 6.71/6.99 (assume @p3066 (tptp.c_FunDef_Oreduction__pair @t4085 (tptp.hAPP (tptp.hAPP @t4109 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 6.71/6.99 (assume @p3067 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t3855 tptp.c_FunDef_Opair__less))) % 6.71/6.99 (assume @p3068 (forall (@list @t421 @t108 @t3274 @t20 @t21 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4049 @t4110)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t108) @t421)) @t4110)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t372) (tptp.hAPP @t355 @t421))) @t4110)))))) % 6.71/6.99 (assume @p3069 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t3855 tptp.c_FunDef_Opair__less))) % 6.71/6.99 (assume @p3070 (tptp.c_FunDef_Oreduction__pair @t4085 (tptp.hAPP (tptp.hAPP @t4109 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 6.71/6.99 (assume @p3071 (forall (@list @t4111 @t51 @t3274 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 (tptp.hAPP @t4117 @t3274) @t51 @t4111) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t51) @t4111)) @t4110))))) % 6.71/6.99 (assume @p3072 (forall @t1627 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4094 @t3937) tptp.c_Wellfounded_Oless__than)) @t1510))) % 6.71/6.99 (assume @p3073 (forall @t4122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4069 @t3937) @t4121)) tptp.c_Int_Ointrel)) (= @t4120 @t4118)))) % 6.71/6.99 (assume @p3074 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 6.71/6.99 (assume @p3075 (forall (@list @t3274 @t2 @t10) (= @t4017 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4123 @t10) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t10 tptp.c_Wellfounded_Oless__than @t3274)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t4123) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t10 @t4123) @t10) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t10)) @t2)) @t3387))))) % 6.71/6.99 (assume @p3076 (forall @t4126 (=> @t4125 (tptp.c_FunDef_Oreduction__pair @t41 (tptp.hAPP (tptp.hAPP @t4124 @t60) @t2))))) % 6.71/6.99 (assume @p3077 (forall @t2996 (=> @t3671 (=> @t1025 (=> @t2994 (=> (forall @t7 (=> @t250 (= @t4 (tptp.hAPP @t3652 @t3)))) @t3672)))))) % 6.71/6.99 (assume @p3078 (forall @t2103 (= @t4124 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3773 @t3773 @t4133) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3773 @t4136 @t4135) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4134 (tptp.tc_fun @t4136 @t4135) @t3773) (tptp.c_COMBB @t4132 @t4133 @t3773)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4131 @t4134 @t3773) (tptp.c_COMBS @t148 @t4128 @t4129)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4132 @t4131 @t3773) (tptp.hAPP (tptp.c_COMBB @t4128 @t4130 @t148) (tptp.c_Product__Type_OPair @t4128 @t4128))) @t4127)))) @t4127))))) % 6.71/6.99 (assume @p3079 (forall (@list @t2 @t2727 @t41 @t97 @t51 @t10) (= (tptp.hBOOL (tptp.hAPP @t3959 @t4138)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t4039 @t53) @t117)) @t2727))))) % 6.71/6.99 (assume @p3080 (forall @t1627 (= (= (tptp.hAPP @t4139 (tptp.hAPP @t4097 @t4100)) (tptp.hAPP @t4139 (tptp.hAPP @t4083 @t4100))) (tptp.hBOOL (tptp.hAPP @t4092 tptp.c_Int_Ointrel))))) % 6.71/6.99 (assume @p3081 (forall @t4141 (=> @t3563 (=> @t22 (=> @t1835 (=> @t4140 (= @t3620 (tptp.hAPP (tptp.hAPP @t3561 @t1) @t20)))))))) % 6.71/6.99 (assume @p3082 (forall @t4143 (= (tptp.hAPP @t4142 @t825) @t146))) % 6.71/6.99 (assume @p3083 (forall (@list @t20 @t21 @t3274 @t10 @t41) (= (tptp.hAPP @t4142 @t847) (tptp.hAPP @t4146 @t4144)))) % 6.71/6.99 (assume @p3084 (forall (@list @t21 @t728 @t3274 @t10 @t41) (= (tptp.hAPP (tptp.c_Relation_OImage @t41 @t10 (tptp.hAPP (tptp.hAPP @t4148 @t3274) @t728)) @t21) (tptp.hAPP @t4146 (tptp.hAPP (tptp.c_Relation_OImage @t41 @t10 @t728) @t21))))) % 6.71/6.99 (assume @p3085 (forall @t4151 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4150) @t4149)))) % 6.71/6.99 (assume @p3086 (forall (@list @t21 @t1202 @t2727 @t4154 @t41 @t10) (=> @t4155 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t1202) @t21)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t41 @t4154) @t1202)) @t4153)))))) % 6.71/6.99 (assume @p3087 (forall (@list @t20 @t21 @t2989 @t2727 @t41 @t10) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4160) @t4158)))) % 6.71/6.99 (assume @p3088 (forall (@list @t20 @t21 @t2989 @t2727 @t10 @t41) (= (tptp.hAPP @t4156 @t3461) (tptp.hAPP @t3460 @t4157)))) % 6.71/6.99 (assume @p3089 (forall @t4166 (= @t4165 (exists @t7 (and @t823 @t4163))))) % 6.71/6.99 (assume @p3090 (forall (@list @t2727 @t248 @t41 @t21 @t173 @t10) (=> @t344 (=> @t4167 (tptp.hBOOL (tptp.hAPP @t820 @t4153)))))) % 6.71/6.99 (assume @p3091 (forall (@list @t20 @t2727 @t10 @t41) (= (tptp.hAPP @t4156 @t20) (tptp.hAPP @t3271 (tptp.hAPP (tptp.hAPP @t4169 @t4156) @t4168))))) % 6.71/6.99 (assume @p3092 (forall (@list @t173 @t2727 @t41 @t248 @t10) (= (tptp.hBOOL (tptp.hAPP @t345 @t4172)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4162 @t4171) @t2727))))) % 6.71/6.99 (assume @p3093 (forall @t164 (= @t3956 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t10) tptp.c_Wellfounded_Oless__than)))) % 6.71/6.99 (assume @p3094 (forall (@list @t902 @t220 @t10) (=> @t1780 (= (tptp.hAPP @t1837 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP (tptp.hAPP @t3837 @t220) @t902)) @t4100)))) (tptp.hAPP (tptp.hAPP @t807 (tptp.hAPP @t1258 @t220)) (tptp.hAPP @t1258 @t902)))))) % 6.71/6.99 (assume @p3095 (= @t1538 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP (tptp.hAPP @t3837 @t1243) @t890)) @t4100))))) % 6.71/6.99 (assume @p3096 (forall @t4122 (= (tptp.hAPP (tptp.hAPP @t1525 @t4176) @t4175) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP (tptp.hAPP @t3837 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t4174 @t261)) (tptp.hAPP @t4173 @t1961))) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t4174 @t1961)) (tptp.hAPP @t4173 @t261)))) @t4100)))))) % 6.71/6.99 (assume @p3097 (forall @t1855 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3992) @t51))) % 6.71/6.99 (assume @p3098 (forall @t1627 (= (tptp.hAPP @t1519 @t4176) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP (tptp.hAPP @t3837 @t97) @t51)) @t4100)))))) % 6.71/6.99 (assume @p3099 (= @t1508 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP @t3852 @t890)) @t4100))))) % 6.71/6.99 (assume @p3100 (forall @t760 (= @t1562 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP @t4177 @t890)) @t4100)))))) % 6.71/6.99 (assume @p3101 (forall @t4122 (= (tptp.hAPP (tptp.hAPP @t1549 @t4176) @t4175) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 (tptp.hAPP (tptp.hAPP @t3837 (tptp.hAPP @t4119 @t261)) (tptp.hAPP (tptp.hAPP @t1248 @t97) @t1961))) @t4100)))))) % 6.71/6.99 (assume @p3102 (forall @t1627 (= (tptp.hAPP tptp.c_Int_Onat @t4176) @t1517))) % 6.71/6.99 (assume @p3103 (forall @t1599 (= (tptp.hAPP @t1519 @t513) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3855 @t4085) @t3983) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4085) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4180 @t4180 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4085 @t4085 tptp.tc_Nat_Onat) @t4139)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4085 @t4180) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4179 (tptp.tc_fun @t4085 @t4180) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4085 @t4085)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3856 @t4179 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3855 @t4178 tptp.tc_Nat_Onat) @t4082)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3855) @t3837)))) @t4100)))))))) % 6.71/6.99 (assume @p3104 (forall @t4122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t4176) @t4175)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t4120) @t4118))))) % 6.71/6.99 (assume @p3105 (forall @t4122 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t4176) @t4175)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t4120) @t4118))))) % 6.71/6.99 (assume @p3106 (forall @t2730 (= (tptp.c_Relation_Oirrefl @t10 @t2727) @t4181))) % 6.71/6.99 (assume @p3107 (forall @t1599 (not (forall @t284 (not (= @t513 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4139 (tptp.hAPP (tptp.hAPP @t4082 @t4014) @t4100))))))))) % 6.71/6.99 (assume @p3108 (forall @t4186 (= (tptp.hAPP @t4182 (tptp.hAPP (tptp.hAPP @t4185 @t4184) @t2727)) (tptp.hAPP (tptp.hAPP @t269 @t685) @t4183)))) % 6.71/6.99 (assume @p3109 (forall @t4187 (= (tptp.hAPP @t4182 (tptp.c_Complete__Lattice_OSup__class_OSup @t3773 @t3274)) (tptp.c_Complete__Lattice_OSup__class_OSup @t23 (tptp.hAPP (tptp.c_Set_Oimage @t3773 @t23 @t4182) @t3274))))) % 6.71/6.99 (assume @p3110 (forall @t164 (= (tptp.hAPP @t4182 @t3775) @t146))) % 6.71/6.99 (assume @p3111 (forall @t4191 (=> @t4190 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4183) @t4188))))) % 6.71/6.99 (assume @p3112 (forall @t4191 (= (tptp.hAPP @t4182 @t4194) (tptp.hAPP (tptp.hAPP @t269 @t4183) @t4188)))) % 6.71/6.99 (assume @p3113 (forall @t2730 (=> @t4196 (tptp.hBOOL (tptp.hAPP @t2063 @t4183))))) % 6.71/6.99 (assume @p3114 (forall @t55 (= @t4198 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3773) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3773 @t3773) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3772 (tptp.tc_fun @t3773 @t3773) @t10) @t4185) @t4197)) @t3775))))) % 6.71/6.99 (assume @p3115 (forall @t4204 (= @t4203 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t113) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t113 @t113) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t4201 @t10) @t761) (tptp.hAPP (tptp.hAPP @t4200 @t4199) @t3374))) @t242))))) % 6.71/6.99 (assume @p3116 (forall @t4166 (=> @t4165 (not (forall @t7 (=> @t4163 (not @t823))))))) % 6.71/6.99 (assume @p3117 (forall @t4204 (= (= @t4203 @t242) @t166))) % 6.71/6.99 (assume @p3118 (forall @t4204 (= (= @t242 @t4203) @t166))) % 6.71/6.99 (assume @p3119 (forall @t2730 (= (tptp.hAPP (tptp.hAPP @t4202 @t146) @t2727) @t242))) % 6.71/6.99 (assume @p3120 (forall @t55 (= @t4198 (tptp.hAPP @t4209 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 tptp.tc_HOL_Obool @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4207 (tptp.tc_fun tptp.tc_HOL_Obool @t23) @t10) (tptp.c_COMBC @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t4208 tptp.c_fequal))) @t21))))) % 6.71/6.99 (assume @p3121 (forall @t164 (= (tptp.c_Relation_OId__on @t10 @t146) @t3775))) % 6.71/6.99 (assume @p3122 (forall @t29 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4198) @t20) @t320))) % 6.71/6.99 (assume @p3123 (forall (@list @t173 @t21 @t2727 @t10) (=> @t4210 (=> @t344 (= (tptp.hAPP (tptp.hAPP @t4202 @t870) @t2727) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t113) @t4203) (tptp.hAPP (tptp.hAPP @t4202 @t658) @t2727))))))) % 6.71/6.99 (assume @p3124 (forall (@list @t2727 @t21 @t51 @t10) (=> @t351 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t4211) @t4203))))) % 6.71/6.99 (assume @p3125 (forall @t348 (=> @t347 (=> @t344 (tptp.hBOOL (tptp.hAPP @t4212 @t4198)))))) % 6.71/6.99 (assume @p3126 (forall @t637 (= (tptp.hBOOL (tptp.hAPP @t3959 @t4198)) (and @t98 @t351)))) % 6.71/6.99 (assume @p3127 (forall @t4214 (= @t4213 (tptp.hAPP (tptp.hAPP @t761 @t4211) @t242)))) % 6.71/6.99 (assume @p3128 (forall @t4204 (=> @t2064 (=> @t4210 (= (tptp.hAPP @t2490 @t4203) @t1978))))) % 6.71/6.99 (assume @p3129 (forall (@list @t248 @t173 @t51 @t2727 @t21 @t10) (=> @t4218 (=> (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP (tptp.hAPP @t264 @t4217) @t4216))) @t4215)))) % 6.71/6.99 (assume @p3130 (forall (@list @t173 @t248 @t2727 @t21 @t10) (=> @t4218 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4216) @t4217)) @t4219)))) % 6.71/6.99 (assume @p3131 (forall (@list @t2727 @t21 @t337 @t10) (=> @t4220 (not (forall @t7 (=> (= @t337 (tptp.hAPP @t4199 @t1013)) @t429)))))) % 6.71/6.99 (assume @p3132 (tptp.c_Equiv__Relations_Oequiv @t3855 @t4221 tptp.c_Int_Ointrel)) % 6.71/6.99 (assume @p3133 (forall @t4204 (=> @t4218 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t4203) @t21)))) % 6.71/6.99 (assume @p3134 (forall @t4222 (=> @t4218 (=> @t344 (tptp.hBOOL (tptp.hAPP @t322 @t4217)))))) % 6.71/6.99 (assume @p3135 (forall (@list @t3386 @t337 @t2727 @t21 @t10) (=> @t4218 (=> @t4220 (=> @t4224 (or @t4223 (= (tptp.hAPP (tptp.hAPP @t264 @t337) @t3386) @t146))))))) % 6.71/6.99 (assume @p3136 (forall @t4226 (=> @t4218 (=> @t4215 @t4225)))) % 6.71/6.99 (assume @p3137 (forall @t4230 (=> @t4218 (=> @t4220 (=> @t4224 (=> @t4229 (=> @t4228 (= @t4223 @t4227)))))))) % 6.71/6.99 (assume @p3138 (forall @t4230 (=> @t4218 (=> @t4220 (=> @t4224 (=> @t4229 (=> @t4228 (=> @t4227 @t4223)))))))) % 6.71/6.99 (assume @p3139 (forall @t4232 (=> @t4218 (=> @t351 (=> @t350 (= @t4231 @t4227)))))) % 6.71/6.99 (assume @p3140 (forall (@list @t21 @t248 @t173 @t2727 @t10) (=> @t4225 (=> @t4218 @t4219)))) % 6.71/6.99 (assume @p3141 (forall @t4232 (=> @t4218 (= @t4227 (and @t4231 @t351 @t350))))) % 6.71/6.99 (assume @p3142 (forall @t4226 (=> @t4218 (=> @t4215 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4217) @t4216)))))) % 6.71/6.99 (assume @p3143 (forall @t4232 (=> @t4218 (=> @t351 (=> @t350 (= (= @t4213 (tptp.hAPP (tptp.hAPP @t4202 @t2193) @t2727)) @t4227)))))) % 6.71/6.99 (assume @p3144 (forall (@list @t173 @t2 @t41 @t2727 @t21 @t10) (=> @t4218 (=> @t4233 (=> @t344 (= (tptp.hAPP (tptp.hAPP @t2092 @t4217) @t2) @t829)))))) % 6.71/6.99 (assume @p3145 (forall (@list @t937 @t938 @t2 @t2989 @t4234 @t4239 @t41 @t4237 @t4240 @t10) (=> @t4243 (=> @t4242 (=> @t4241 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t938) @t4240)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t937) @t4239)) (= (tptp.hAPP (tptp.hAPP @t4238 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4237) (tptp.hAPP @t1239 @t146))) (tptp.hAPP (tptp.hAPP @t4236 (tptp.hAPP @t3463 (tptp.hAPP @t4235 (tptp.hAPP (tptp.hAPP @t830 @t937) @t825)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t938) @t937))))))))) % 6.71/6.99 (assume @p3146 (forall @t55 (= (tptp.c_Equiv__Relations_Oequiv @t10 @t165 @t21) (tptp.c_Equiv__Relations_Oequivp @t10 (tptp.hAPP @t4117 @t21))))) % 6.71/6.99 (assume @p3147 (forall @t164 (tptp.c_Equiv__Relations_Oequivp @t10 tptp.c_fequal))) % 6.71/6.99 (assume @p3148 (forall @t4187 (= @t4248 (forall @t284 (= @t4247 @t4246))))) % 6.71/6.99 (assume @p3149 (forall @t4250 (=> @t4248 @t4249))) % 6.71/6.99 (assume @p3150 (forall @t4254 (=> @t4248 @t4253))) % 6.71/6.99 (assume @p3151 (forall @t4256 (=> @t4248 @t4255))) % 6.71/6.99 (assume @p3152 (forall (@list @t173 @t2 @t4234 @t2989 @t41 @t4237 @t21 @t10) (=> (tptp.c_Equiv__Relations_Oequiv @t10 @t21 @t4237) (=> @t4257 (=> @t344 (tptp.c_Equiv__Relations_Ocongruent @t41 @t2989 @t4234 @t829)))))) % 6.71/6.99 (assume @p3153 (forall (@list @t2 @t2727 @t41 @t10) (= @t4264 (forall @t7 (=> @t4263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4209 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t46 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 @t4261 @t10) @t4260) @t4259)) @t2)) @t3))))))) % 6.71/6.99 (assume @p3154 (forall (@list @t4265 @t4267 @t4266 @t4268 @t2 @t4234 @t4237 @t2989 @t41 @t10) (=> @t4257 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 @t4268) @t4266)) @t4237)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t4039 @t4267) @t4265)) @t4234)) (= (tptp.hAPP (tptp.hAPP @t2 @t4268) @t4267) (tptp.hAPP (tptp.hAPP @t2 @t4266) @t4265))))))) % 6.71/6.99 (assume @p3155 (forall (@list @t513 @t97 @t2 @t2727 @t41 @t10) (=> @t4264 (=> (tptp.hBOOL (tptp.hAPP @t4270 @t2727)) (= @t117 @t929))))) % 6.71/6.99 (assume @p3156 (forall (@list @t173 @t2 @t2989 @t4234 @t4239 @t41 @t4237 @t4240 @t10) (=> @t4243 (=> @t4242 (=> @t4241 (=> (tptp.hBOOL (tptp.hAPP @t3220 @t4239)) (tptp.c_Equiv__Relations_Ocongruent @t10 @t3215 @t4237 (tptp.hAPP (tptp.hAPP @t4236 (tptp.hAPP @t3463 (tptp.hAPP @t4235 @t3514))) @t2)))))))) % 6.71/6.99 (assume @p3157 (forall (@list @t3386 @t337 @t2 @t41 @t2727 @t21 @t10) (=> @t4218 (=> @t4233 (=> (= @t4273 (tptp.hAPP (tptp.hAPP @t2092 @t3386) @t2)) (=> @t4220 (=> @t4224 (=> (forall @t7 (=> @t250 (forall @t1180 (=> @t3125 (=> @t4035 @t4272))))) @t4223)))))))) % 6.71/6.99 (assume @p3158 (forall (@list @t20 @t4274 @t4275 @t2 @t2989 @t4234 @t4239 @t41 @t4237 @t4240 @t10) (=> @t4243 (=> @t4242 (=> @t4241 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t4275) (tptp.hAPP (tptp.hAPP @t4202 @t4240) @t4237))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4278 @t4274) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t41) @t4239) @t4234))) (=> (forall @t1725 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t1723) @t4240)) (forall (@list @t4277) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t4277) @t4239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4276 (tptp.hAPP (tptp.hAPP @t2 @t1723) @t4277)) @t20)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4276 (tptp.hAPP (tptp.hAPP @t4238 @t4275) (tptp.hAPP (tptp.hAPP @t4236 (tptp.hAPP @t3463 @t4274)) @t2))) @t20)))))))))) % 6.71/6.99 (assume @p3159 (forall (@list @t20 @t337 @t2 @t41 @t2727 @t21 @t10) (=> @t4218 (=> @t4233 (=> @t4220 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4278 @t5) @t20)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4278 @t4273) @t20)))))))) % 6.71/6.99 (assume @p3160 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t3855) @t4221) tptp.c_Int_Ointrel))) % 6.71/6.99 (assume @p3161 (forall @t4204 (= @t4284 (and (forall @t7 (=> @t4263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4209 (tptp.hAPP @t4283 @t3621)) @t3)))) @t4279)))) % 6.71/6.99 (assume @p3162 (forall @t333 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 @t291) @t4198)) (not (forall @t7 (=> @t250 (not (= @t291 @t3833)))))))) % 6.71/6.99 (assume @p3163 (forall @t55 (tptp.c_Relation_Orefl__on @t10 @t21 @t4198))) % 6.71/6.99 (assume @p3164 (forall @t164 (tptp.c_Relation_Orefl__on @t10 @t146 @t3775))) % 6.71/6.99 (assume @p3165 (forall @t4286 (=> @t4284 (=> @t4285 (tptp.c_Relation_Orefl__on @t10 @t311 @t4194))))) % 6.71/6.99 (assume @p3166 (forall @t4286 (=> @t4284 (=> @t4285 (tptp.c_Relation_Orefl__on @t10 @t320 @t4289))))) % 6.71/6.99 (assume @p3167 (forall @t1855 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4290 @t3992) tptp.c_Int_OInteg)))) % 6.71/6.99 (assume @p3168 (forall @t4232 (=> @t4284 (=> @t4227 @t350)))) % 6.71/6.99 (assume @p3169 (forall @t4232 (=> @t4284 (=> @t4227 @t351)))) % 6.71/6.99 (assume @p3170 (forall @t4222 (=> @t4284 (=> @t344 @t4292)))) % 6.71/6.99 (assume @p3171 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4085 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 6.71/6.99 (assume @p3172 (forall @t4141 (=> @t3563 (=> @t22 (=> @t1835 (=> @t4140 (= @t3640 (tptp.hAPP (tptp.hAPP @t3617 @t1) @t20)))))))) % 6.71/6.99 (assume @p3173 (forall @t4296 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t10 @t4295) @t51)) @t4294))) % 6.71/6.99 (assume @p3174 (forall @t3927 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t3923) @t3924)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Wellfounded_Oacc @t10 @t3924)) (tptp.c_Wellfounded_Oacc @t10 @t3923)))))) % 6.71/6.99 (assume @p3175 (forall (@list @t173 @t2727 @t248 @t10) (=> @t4298 (=> @t4215 @t4297)))) % 6.71/6.99 (assume @p3176 (forall @t4300 (= @t4297 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t173)) @t2727)) @t4299))))) % 6.71/6.99 (assume @p3177 (forall @t4304 (=> @t4303 (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 @t4301) @t21) @t165)))) % 6.71/6.99 (assume @p3178 (forall @t4304 (=> @t4303 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t4302) @t165) @t21)))) % 6.71/6.99 (assume @p3179 (forall @t4307 (=> @t4303 (=> @t798 (=> @t4306 (= (= (tptp.hAPP @t4301 @t51) @t4305) @t98)))))) % 6.71/6.99 (assume @p3180 (forall @t4307 (=> @t4303 (= (= @t4308 (tptp.hAPP @t4302 @t97)) @t98)))) % 6.71/6.99 (assume @p3181 (forall @t4309 (=> @t4303 (= (tptp.hAPP @t4301 @t4308) @t51)))) % 6.71/6.99 (assume @p3182 (forall @t4309 (=> @t4303 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t4308) @t21))))) % 6.71/6.99 (assume @p3183 (forall (@list @t97 @t21 @t4301 @t4302 @t41 @t10) (=> @t4303 (=> @t4306 (= (tptp.hAPP @t4302 @t4305) @t97))))) % 6.71/6.99 (assume @p3184 (forall (@list @t937 @t938 @t3274 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 @t3274 @t938 @t937) (and @t4315 @t4314 @t4313 (forall @t7 (=> @t4312 (exists @t412 (and @t4311 @t4310)))))))) % 6.71/6.99 (assume @p3185 (forall @t4323 (=> @t4322 (=> @t4321 (=> @t4320 (=> (forall @t7 (=> @t4319 (exists @t412 (and @t4318 @t4317)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t337) @t3386)) @t4110)))))))) % 6.71/6.99 (assume @p3186 (forall @t471 (= (tptp.c_Nitpick_Ozero__frac @t31) (tptp.c_Nitpick_OAbs__Frac @t31 @t3742)))) % 6.71/6.99 (assume @p3187 (forall @t471 (= (tptp.c_Nitpick_Oone__frac @t31) (tptp.c_Nitpick_OAbs__Frac @t31 (tptp.hAPP (tptp.hAPP @t3198 @t1538) @t1538))))) % 6.71/6.99 (assume @p3188 (forall @t1452 (= (tptp.c_Nitpick_Onumber__of__frac @t31 @t176) (tptp.c_Nitpick_OAbs__Frac @t31 (tptp.hAPP (tptp.hAPP @t3198 @t176) @t1538))))) % 6.71/6.99 (assume @p3189 (forall @t485 (= (tptp.hAPP (tptp.hAPP @t4324 @t81) @t85) (tptp.c_Nitpick_OAbs__Frac @t31 (tptp.c_Nitpick_Onorm__frac @t81 @t85))))) % 6.71/6.99 (assume @p3190 (forall (@list @t337 @t10) (= (tptp.c_Set_Othe__elem @t10 @t337) (tptp.c_HOL_OThe @t10 (tptp.hAPP (tptp.hAPP @t4325 (tptp.hAPP tptp.c_fequal @t337)) @t3374))))) % 6.71/6.99 (assume @p3191 (forall @t4329 (=> @t4328 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t60 @t4327))) @t4326)))) % 6.71/6.99 (assume @p3192 (forall @t4330 (=> @t4328 (not (forall @t7 (not (= @t97 @t4327))))))) % 6.71/6.99 (assume @p3193 (forall @t4333 (= (tptp.c_HOL_OThe @t2097 @t60) (tptp.c_HOL_OThe @t2097 @t4332)))) % 6.71/6.99 (assume @p3194 (forall @t3482 (= (tptp.c_HOL_OThe @t2097 @t4337) @t3305))) % 6.71/6.99 (assume @p3195 (forall @t4343 (= @t1208 (tptp.c_HOL_OThe @t10 @t4342)))) % 6.71/6.99 (assume @p3196 (forall (@list @t21 @t513 @t2 @t10 @t41) (= (tptp.hAPP @t3012 @t21) (tptp.c_HOL_OThe @t10 (tptp.c_Finite__Set_Ofold__graph @t41 @t10 @t2 @t513 @t21))))) % 6.71/6.99 (assume @p3197 (forall @t187 (= @t3857 (tptp.c_HOL_OThe @t3855 @t4006)))) % 6.71/6.99 (assume @p3198 (forall @t3354 (= @t2360 (tptp.c_HOL_OThe @t10 @t1171)))) % 6.71/6.99 (assume @p3199 (forall @t4333 (= (tptp.c_HOL_OThe @t2097 @t4345) (tptp.c_HOL_OThe @t2097 @t4344)))) % 6.71/6.99 (assume @p3200 (forall @t254 (and (=> @t4347 (= @t4346 @t248)) (=> (not @t4347) (= @t4346 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t3275 (tptp.hAPP @t785 @t681)))))))) % 6.71/6.99 (assume @p3201 (forall @t4350 (=> @t1074 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4349) (tptp.hAPP (tptp.hAPP @t594 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t4339 @t173))) @t146)))))) % 6.71/6.99 (assume @p3202 (forall (@list @t21 @t2 @t2989 @t41 @t10 @t3230) (=> (not (= @t3230 @t146)) (=> (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t2979 @t3230)) (tptp.c_Fun_Oinj__on @t41 @t2989 @t2 (tptp.hAPP @t21 @t898)))) (tptp.c_Fun_Oinj__on @t41 @t2989 @t2 @t3231))))) % 6.71/6.99 (assume @p3203 (forall (@list @t41 @t20 @t10 @t248 @t173 @t2) (=> @t4353 (=> (tptp.hBOOL (tptp.hAPP @t345 @t20)) (tptp.hBOOL (tptp.hAPP @t3220 @t4352)))))) % 6.71/6.99 (assume @p3204 (forall (@list @t20 @t2 @t41 @t173 @t10) (= (tptp.hBOOL (tptp.hAPP @t322 @t4354)) (tptp.hBOOL (tptp.hAPP @t1182 @t20))))) % 6.71/6.99 (assume @p3205 (forall (@list @t21 @t2 @t41 @t173 @t10) (=> (tptp.hBOOL (tptp.hAPP @t322 @t4355)) (tptp.hBOOL (tptp.hAPP @t1182 @t21))))) % 6.71/6.99 (assume @p3206 (forall (@list @t41 @t21 @t173 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t829) @t21)) (tptp.hBOOL (tptp.hAPP @t3220 @t4356))))) % 6.71/6.99 (assume @p3207 (forall @t397 (= (tptp.hAPP @t4348 @t810) (tptp.hAPP (tptp.hAPP @t784 @t4355) @t4354)))) % 6.71/6.99 (assume @p3208 (forall @t4358 (= (tptp.hAPP @t4348 @t3461) (tptp.hAPP @t3460 @t4357)))) % 6.71/6.99 (assume @p3209 (forall @t3388 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t3387) @t3386) @t3386))) % 6.71/6.99 (assume @p3210 (forall (@list @t51 @t2 @t1 @t2989 @t41 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t41 @t3614) @t51) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t2989 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t2989 @t41 @t1) @t51))))) % 6.71/6.99 (assume @p3211 (forall @t4358 (= (tptp.hAPP @t4348 @t4159) (tptp.hAPP @t3395 @t4357)))) % 6.71/6.99 (assume @p3212 (forall @t836 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t4356) @t4352))))) % 6.71/6.99 (assume @p3213 (forall @t397 (= (tptp.hAPP @t4348 @t864) (tptp.hAPP (tptp.hAPP @t264 @t4355) @t4354)))) % 6.71/6.99 (assume @p3214 (forall @t1229 (= (tptp.hBOOL (tptp.hAPP @t4355 @t51)) (tptp.hBOOL (tptp.hAPP @t21 @t53))))) % 6.71/6.99 (assume @p3215 (forall @t827 (= (tptp.hAPP @t4348 @t878) (tptp.hAPP @t301 @t4355)))) % 6.71/6.99 (assume @p3216 (forall @t397 (= (tptp.hAPP @t4348 @t847) (tptp.hAPP (tptp.hAPP @t269 @t4355) @t4354)))) % 6.71/6.99 (assume @p3217 (forall @t1027 (= (tptp.hAPP @t4348 @t825) @t146))) % 6.71/6.99 (assume @p3218 (forall @t1027 (= (tptp.hAPP @t4348 @t858) @t165))) % 6.71/6.99 (assume @p3219 (forall @t827 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4359) @t21)))) % 6.71/6.99 (assume @p3220 (forall @t828 (=> @t879 (= @t4359 @t21)))) % 6.71/6.99 (assume @p3221 (forall @t827 (= (tptp.hAPP @t4348 @t3421) (tptp.hAPP @t3448 @t4348)))) % 6.71/6.99 (assume @p3222 (forall (@list @t248 @t2 @t41 @t173 @t10) (= (tptp.hBOOL (tptp.hAPP @t322 (tptp.hAPP @t4348 (tptp.hAPP @t4360 @t825)))) @t4353))) % 6.71/6.99 (assume @p3223 (forall (@list @t20 @t173 @t2 @t41 @t10) (= (tptp.hAPP @t4348 @t832) (tptp.hAPP (tptp.hAPP @t269 @t4349) @t4354)))) % 6.71/6.99 (assume @p3224 (forall @t4363 (=> @t4362 (=> (= (tptp.hAPP @t2076 @t165) @t858) @t4361)))) % 6.71/6.99 (assume @p3225 (forall (@list @t21 @t20 @t2 @t10 @t41) (=> @t879 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t4352) @t21)) @t838)))) % 6.71/6.99 (assume @p3226 (forall @t828 (= @t4359 (tptp.hAPP @t319 @t859)))) % 6.71/6.99 (assume @p3227 (forall @t2079 (=> @t2078 (=> (tptp.c_Fun_Oinj__on @t41 @t10 @t2075 @t858) (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP (tptp.c_Set_Ovimage @t41 @t10 @t2075) @t791))))))) % 6.71/6.99 (assume @p3228 (forall @t827 (=> @t1074 (= (tptp.hAPP @t4348 @t819) @t21)))) % 6.71/6.99 (assume @p3229 (forall (@list @t41 @t21 @t291 @t10) (and (=> @t305 (= @t4364 @t858)) (=> @t306 (= @t4364 @t825))))) % 6.71/6.99 (assume @p3230 (forall @t4365 (= @t4354 (tptp.hAPP @t3271 (tptp.hAPP (tptp.hAPP @t4169 @t4348) @t4168))))) % 6.71/6.99 (assume @p3231 (forall @t1073 (=> @t1074 (=> @t2144 @t4366)))) % 6.71/6.99 (assume @p3232 (forall (@list @t20 @t41 @t289 @t21 @t291 @t10) (and (=> @t305 (and (=> @t4370 (= @t4369 @t858)) (=> @t4371 (= @t4369 @t20)))) (=> @t306 (and (=> @t4370 (= @t4369 (tptp.hAPP @t877 @t20))) (=> @t4371 (= @t4369 @t825))))))) % 6.71/6.99 (assume @p3233 (forall (@list @t21 @t1 @t2 @t41 @t10 @t2989) (= (tptp.hAPP (tptp.c_Set_Oimage @t2989 @t2097 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2989 @t41 @t2097) @t4375) @t1)) @t21) (tptp.hAPP (tptp.hAPP @t4374 @t4373) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3215 @t393 @t10) @t3390) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3215 @t3215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3215 @t4372 @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3215)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t3215 @t10) (tptp.c_Set_Ovimage @t2989 @t10 @t2)) @t3374))) @t21)))))) % 6.71/6.99 (assume @p3234 (forall @t4391 (=> @t4390 (= (tptp.hAPP tptp.c_Nat_OSuc @t4388) @t4383)))) % 6.71/6.99 (assume @p3235 (forall @t4391 (=> @t4390 (not (= @t4383 @t890))))) % 6.71/6.99 (assume @p3236 (forall @t4397 (=> @t4396 @t4394))) % 6.71/6.99 (assume @p3237 (forall @t4404 (=> (or @t4403 @t4402) (tptp.hBOOL (tptp.hAPP @t2063 @t4400))))) % 6.71/6.99 (assume @p3238 (forall @t157 (tptp.hBOOL (tptp.hAPP @t2071 (tptp.hAPP @t4382 (tptp.hAPP @t4377 @t151)))))) % 6.71/6.99 (assume @p3239 (forall @t157 (tptp.hBOOL (tptp.hAPP @t2071 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4376 @t178) @t151)))))) % 6.71/6.99 (assume @p3240 (forall @t3237 (=> @t344 (=> @t3236 @t4407)))) % 6.71/6.99 (assume @p3241 (forall @t4410 (= (tptp.hAPP @t4348 @t4409) (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4260 @t60) @t2))))) % 6.71/6.99 (assume @p3242 (forall @t164 (= @t165 (tptp.hAPP @t4392 (tptp.hAPP @t4411 tptp.c_fTrue))))) % 6.71/6.99 (assume @p3243 (forall (@list @t20 @t337 @t41 @t10) (= (tptp.hAPP (tptp.hAPP @t4374 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t337)) @t20) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t23 @t2098) @t337) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t3314 @t2098) @t4374) @t20))))) % 6.71/6.99 (assume @p3244 (forall @t4027 (= (= @t146 @t4393) @t4413))) % 6.71/6.99 (assume @p3245 (forall @t4027 (= (= @t4393 @t146) @t4413))) % 6.71/6.99 (assume @p3246 (forall @t164 (= @t146 (tptp.hAPP @t4392 @t4414)))) % 6.71/6.99 (assume @p3247 (forall @t4404 (= @t4416 (tptp.hAPP (tptp.hAPP @t269 @t4393) @t4401)))) % 6.71/6.99 (assume @p3248 (forall @t4027 (= @t4393 @t60))) % 6.71/6.99 (assume @p3249 (forall @t4404 (= @t4400 (tptp.hAPP (tptp.hAPP @t264 @t4393) @t4401)))) % 6.71/6.99 (assume @p3250 (forall @t4027 (= @t4420 @t4417))) % 6.71/6.99 (assume @p3251 (forall @t4404 (= (tptp.hBOOL (tptp.hAPP @t2063 @t4416)) (and @t4403 @t4402)))) % 6.71/6.99 (assume @p3252 (forall (@list @t20 @t41 @t10) (= (tptp.hAPP (tptp.hAPP @t4374 @t146) @t20) @t3480))) % 6.71/6.99 (assume @p3253 (forall @t4426 (= (tptp.hAPP @t4425 (tptp.hAPP @t3795 (tptp.hAPP (tptp.hAPP @t4424 @t4423) @t57))) (tptp.hAPP @t4422 (tptp.hAPP @t4421 @t57))))) % 6.71/6.99 (assume @p3254 (forall @t4426 (= (tptp.hAPP @t4425 (tptp.hAPP @t3795 (tptp.hAPP (tptp.hAPP @t3259 @t4423) @t57))) (tptp.hAPP @t4422 (tptp.hAPP @t3475 (tptp.hAPP @t4408 @t57)))))) % 6.71/6.99 (assume @p3255 (forall @t4428 (= (tptp.hAPP @t657 @t4393) (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4427 (tptp.hAPP @t4418 @t3581))) @t60))))) % 6.71/6.99 (assume @p3256 (forall @t4433 (= (tptp.hAPP (tptp.hAPP @t4374 (tptp.hAPP (tptp.hAPP @t784 @t3230) @t3297)) @t108) (tptp.hAPP (tptp.hAPP @t4432 @t4431) @t4429)))) % 6.71/6.99 (assume @p3257 (forall @t4438 (= (tptp.hAPP (tptp.hAPP @t4374 @t800) @t4434) (tptp.hAPP (tptp.hAPP @t4432 @t4437) @t4436)))) % 6.71/6.99 (assume @p3258 (forall @t3538 (= (tptp.hAPP @t4430 (tptp.hAPP (tptp.hAPP @t4424 @t3508) @t20)) (tptp.hAPP (tptp.hAPP @t4432 @t4440) @t4439)))) % 6.71/6.99 (assume @p3259 (forall @t4428 (=> @t4394 @t4396))) % 6.71/6.99 (assume @p3260 (forall @t4428 (= @t4394 @t4396))) % 6.71/6.99 (assume @p3261 (forall @t55 (= (tptp.hAPP @t4392 @t3621) @t21))) % 6.71/6.99 (assume @p3262 (forall @t4447 (=> @t4446 (= (= @t4445 @t4443) @t22)))) % 6.71/6.99 (assume @p3263 (forall @t2288 (= (tptp.hAPP @t4450 @t4449) (tptp.hAPP (tptp.hAPP @t1028 @t1978) @t2181)))) % 6.71/6.99 (assume @p3264 (forall @t3531 (=> @t2924 (= @t3530 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t3487 @t10) @t3811) @t4453))))) % 6.71/6.99 (assume @p3265 (forall @t2288 (= (= @t4449 @t3480) (or @t166 @t2289)))) % 6.71/6.99 (assume @p3266 (forall @t3368 (= (tptp.hAPP @t4405 (tptp.hAPP @t3475 @t825)) @t3480))) % 6.71/6.99 (assume @p3267 (forall @t3368 (= (tptp.hAPP @t4455 (tptp.hAPP @t4405 @t4454)) (tptp.hAPP (tptp.hAPP @t4374 @t331) @t4454)))) % 6.71/6.99 (assume @p3268 (forall @t3368 (= (tptp.hAPP @t4455 (tptp.hAPP @t4456 @t4457)) (tptp.hAPP @t4456 (tptp.hAPP @t3475 @t878))))) % 6.71/6.99 (assume @p3269 (forall @t3531 (=> @t2867 (= (tptp.hAPP (tptp.hAPP @t2865 (tptp.hAPP (tptp.hAPP @t3523 (tptp.hAPP (tptp.hAPP @t3521 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2989 @t10)) @t2)) @t20)) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t3487 @t10) @t3811) @t4453))))) % 6.71/6.99 (assume @p3270 (forall @t670 (= @t669 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4415 @t3581)) @t3622))))) % 6.71/6.99 (assume @p3271 (forall @t29 (= @t311 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4415 @t3621)) @t3622))))) % 6.71/6.99 (assume @p3272 (forall (@list @t60 @t21 @t51 @t10) (= (tptp.hBOOL (tptp.hAPP @t326 @t4458)) (and @t351 @t63)))) % 6.71/6.99 (assume @p3273 (forall @t29 (= @t320 @t4459))) % 6.71/6.99 (assume @p3274 (forall @t3538 (= (tptp.hAPP @t4430 (tptp.hAPP (tptp.hAPP @t4424 @t3258) @t20)) (tptp.hAPP (tptp.hAPP @t3302 @t4440) @t4439)))) % 6.71/6.99 (assume @p3275 (forall @t4438 (= (tptp.hAPP (tptp.hAPP @t4374 @t311) @t4434) (tptp.hAPP (tptp.hAPP @t3302 @t4437) @t4436)))) % 6.71/6.99 (assume @p3276 (forall @t4433 (= (tptp.hAPP (tptp.hAPP @t4374 (tptp.hAPP (tptp.hAPP @t269 @t3230) @t3297)) @t108) (tptp.hAPP (tptp.hAPP @t3302 @t4431) @t4429)))) % 6.71/6.99 (assume @p3277 (forall @t174 (= (tptp.hAPP @t4392 @t3591) @t658))) % 6.71/6.99 (assume @p3278 (forall @t174 (= @t4460 @t658))) % 6.71/6.99 (assume @p3279 (forall @t4397 (and (=> @t4396 (= @t4461 @t658)) (=> @t4462 (= @t4461 @t146))))) % 6.71/6.99 (assume @p3280 (forall @t4397 (and (=> @t4396 (= @t4463 @t658)) (=> @t4462 (= @t4463 @t146))))) % 6.71/6.99 (assume @p3281 (forall @t29 (= @t800 (tptp.hAPP @t4392 (tptp.hAPP @t4341 (tptp.hAPP @t4418 @t3622)))))) % 6.71/6.99 (assume @p3282 (forall @t4027 (=> @t4403 (= (tptp.hBOOL (tptp.hAPP @t2063 @t4420)) @t2102)))) % 6.71/6.99 (assume @p3283 (forall @t670 (= @t669 (tptp.hAPP (tptp.hAPP @t269 @t4460) @t20)))) % 6.71/6.99 (assume @p3284 (forall @t3384 (= (tptp.hAPP (tptp.c_Set_Oimage @t3817 @t2097 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t10 @t2097) @t4465)) @t4464) (tptp.hAPP @t4435 @t4457)))) % 6.71/6.99 (assume @p3285 (forall @t2096 (=> @t2064 (=> @t2142 @t4466)))) % 6.71/6.99 (assume @p3286 (forall @t55 (= @t331 (tptp.hAPP @t4392 (tptp.hAPP @t4418 @t3621))))) % 6.71/6.99 (assume @p3287 (forall @t4365 (= @t4354 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t393 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 (tptp.tc_fun @t393 tptp.tc_HOL_Obool) @t10) @t796) @t2)) @t20))))) % 6.71/6.99 (assume @p3288 (forall @t4204 (=> @t4218 @t4470))) % 6.71/6.99 (assume @p3289 (forall (@list @t60 @t21 @t41 @t10) (= (tptp.hAPP @t4392 (tptp.hAPP @t4477 (tptp.hAPP @t4475 @t60))) (tptp.hAPP @t3224 (tptp.hAPP @t4471 (tptp.hAPP @t4338 @t60)))))) % 6.71/6.99 (assume @p3290 (forall @t4433 (= (tptp.hAPP (tptp.hAPP @t4374 (tptp.hAPP (tptp.hAPP @t264 @t3230) @t3297)) @t108) (tptp.hAPP (tptp.hAPP @t3345 @t4431) @t4429)))) % 6.71/6.99 (assume @p3291 (forall @t4438 (= (tptp.hAPP (tptp.hAPP @t4374 @t320) @t4434) (tptp.hAPP (tptp.hAPP @t3345 @t4437) @t4436)))) % 6.71/6.99 (assume @p3292 (forall @t3538 (= (tptp.hAPP @t4430 (tptp.hAPP (tptp.hAPP @t4424 @t3332) @t20)) (tptp.hAPP (tptp.hAPP @t3345 @t4440) @t4439)))) % 6.71/6.99 (assume @p3293 (forall @t4404 (= (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4427 @t60)) @t57)) (tptp.hAPP (tptp.hAPP @t269 @t4417) @t4401)))) % 6.71/6.99 (assume @p3294 (forall @t55 (= @t239 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4482 (tptp.c_HOL_OAll @t23)) (tptp.hAPP (tptp.hAPP @t4481 (tptp.hAPP @t4480 (tptp.hAPP (tptp.hAPP @t4479 tptp.c_fimplies) @t4478))) @t169)))))) % 6.71/6.99 (assume @p3295 (forall @t55 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t4198) @t4469)))) % 6.71/6.99 (assume @p3296 (forall @t1809 (tptp.hBOOL (tptp.hAPP @t2071 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4381 (tptp.hAPP @t4380 @t60)) @t4384)))))) % 6.71/6.99 (assume @p3297 (forall @t2103 (= (tptp.hAPP @t4456 @t4454) @t2099))) % 6.71/6.99 (assume @p3298 (forall @t4483 (= @t4407 (and @t344 @t3236)))) % 6.71/6.99 (assume @p3299 (forall @t4483 (=> @t4407 @t344))) % 6.71/6.99 (assume @p3300 (forall @t4483 (=> @t4407 @t3236))) % 6.71/6.99 (assume @p3301 (forall @t4483 (=> @t4407 (not (=> @t344 (not @t3236)))))) % 6.71/6.99 (assume @p3302 (forall (@list @t21 @t51 @t41 @t10) (= (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t4374 @t745) @t4457)) @t2021))) % 6.71/6.99 (assume @p3303 (forall @t4447 (=> @t4446 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4485 @t4445) @t4443)) (tptp.hBOOL (tptp.hAPP @t4484 @t20)))))) % 6.71/6.99 (assume @p3304 (forall (@list @t108 @t20 @t21 @t2727 @t41 @t10) (=> @t4487 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 (tptp.hAPP @t4152 @t108)) @t20))))) % 6.71/6.99 (assume @p3305 (forall (@list @t3274 @t2 @t2290 @t41 @t728 @t10 @t2989) (=> @t2995 (=> @t2298 (=> @t4496 (= (tptp.hAPP (tptp.hAPP @t2990 (tptp.hAPP @t4495 @t4491)) @t728) (tptp.hAPP (tptp.hAPP @t2991 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t41 @t23 @t2989) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t2989) (tptp.tc_fun @t23 @t2989) @t41) @t2990) (tptp.hAPP (tptp.c_COMBC @t10 @t41 @t2989) @t2))) (tptp.hAPP @t4471 (tptp.hAPP (tptp.hAPP @t3282 @t4489) @t4488)))) @t2290))))))) % 6.71/6.99 (assume @p3306 (forall @t2288 (=> @t4466 (=> (not @t2289) @t2064)))) % 6.71/6.99 (assume @p3307 (forall @t2288 (=> @t4466 (=> @t430 @t2142)))) % 6.71/6.99 (assume @p3308 (forall @t3384 (= @t3225 (tptp.hAPP @t4392 (tptp.hAPP @t4477 (tptp.hAPP @t4475 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3418 @t393) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t113 @t4498 @t10) @t4497) @t169)) @t20))))))) % 6.71/6.99 (assume @p3309 (forall (@list @t728 @t1 @t2 @t60 @t10 @t41) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 (tptp.hAPP (tptp.hAPP @t3365 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t41 @t10 @t3362) (tptp.hAPP @t4368 @t60)) @t2)) @t1)) @t728) (tptp.hAPP (tptp.hAPP @t269 (tptp.hAPP @t794 (tptp.hAPP @t4499 @t4409))) (tptp.hAPP @t2183 (tptp.hAPP @t4499 (tptp.hAPP @t4408 (tptp.hAPP (tptp.hAPP @t4335 tptp.c_fNot) @t60)))))))) % 6.71/6.99 (assume @p3310 (forall (@list @t21 @t41 @t10 @t20) (and (=> @t407 (= @t4500 @t825)) (=> @t2222 (= @t4500 @t21))))) % 6.71/6.99 (assume @p3311 (forall (@list @t20 @t41 @t10 @t21) (and (=> @t166 (= @t4501 @t825)) (=> @t430 (= @t4501 @t20))))) % 6.71/6.99 (assume @p3312 (forall (@list @t115 @t2 @t10 @t21) (=> (= @t21 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t2) (tptp.hAPP @t4382 (tptp.hAPP @t4377 @t115)))) @t2064))) % 6.71/6.99 (assume @p3313 (forall @t3624 (=> @t2929 (=> @t2064 (= (tptp.hAPP @t2915 @t4459) @t3623))))) % 6.71/6.99 (assume @p3314 (forall @t4204 (= @t4284 (and @t4470 @t4279)))) % 6.71/6.99 (assume @p3315 (forall (@list @t20 @t248 @t21 @t173 @t41 @t10) (= (tptp.hAPP @t4502 @t4503) (tptp.hAPP @t4505 (tptp.hAPP (tptp.hAPP @t3302 (tptp.hAPP @t4405 @t4503)) (tptp.hAPP @t4502 @t4448)))))) % 6.71/6.99 (assume @p3316 (forall (@list @t2 @t2989 @t1 @t728 @t10 @t41) (=> @t2929 (=> @t2298 (= (tptp.hAPP @t2926 @t728) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2989 @t41) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t41 @t2989) @t2926) (tptp.hAPP (tptp.hAPP @t3293 @t4392) (tptp.hAPP (tptp.hAPP @t3293 @t4489) (tptp.hAPP (tptp.c_COMBC @t10 @t2989 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2989 @t3215 @t10) tptp.c_fequal) @t2)))))) (tptp.hAPP @t3613 @t728))))))) % 6.71/6.99 (assume @p3317 (forall (@list @t337 @t2727 @t21 @t10) (=> @t2064 (=> @t4470 (=> @t4220 @t4322))))) % 6.71/6.99 (assume @p3318 (forall (@list @t20 @t21 @t2 @t2989 @t41 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t3487 @t2) @t4453) (tptp.hAPP (tptp.hAPP @t264 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t3487 @t41 @t10 @t3995) @t2)) @t21)) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t2989 (tptp.hAPP (tptp.c_Fun_Ocomp @t3487 @t2989 @t10 @t3946) @t2)) @t20))))) % 6.71/6.99 (assume @p3319 (forall (@list @t791 @t4506 @t20 @t21 @t41 @t10 @t3425 @t2989) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4511 @t2098) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t2989 @t3425) @t21) (tptp.hAPP (tptp.c_COMBK @t4510 @t2989) @t20))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2989 @t3425 @t2098) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2989 @t4509 @t4508) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4507 (tptp.tc_fun @t4509 @t4508) @t2989) (tptp.c_COMBB @t3314 @t2098 @t3425)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t4507 @t2989) @t4374) @t4506))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 @t3314 @t3425) @t3475) @t791)))) (tptp.hAPP (tptp.hAPP @t4374 (tptp.hAPP @t3460 @t4506)) (tptp.hAPP @t3475 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3425 @t393) @t20) @t791)))))) % 6.71/6.99 (assume @p3320 (forall @t2288 (= @t4406 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t2098) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t4514 @t2098) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 (tptp.tc_fun @t4514 @t2098) @t10) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t41 @t2098)) @t20)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2098 @t4514) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4513 (tptp.tc_fun @t2098 @t4514) @t10) (tptp.c_COMBC @t41 @t2098 @t2098)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 @t4513 @t10) (tptp.hAPP (tptp.c_COMBB @t2097 @t4512 @t41) @t4504)) @t3303))) @t3480)))))) % 6.71/6.99 (assume @p3321 (forall @t55 (=> @t223 (= @t252 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4516 (tptp.hAPP @t4515 @t3601)))))))) % 6.71/6.99 (assume @p3322 (forall @t55 (=> @t223 (= @t257 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4516 (tptp.hAPP @t4515 @t99)))))))) % 6.71/6.99 (assume @p3323 (forall @t4204 (=> @t2064 (=> @t4470 (tptp.hBOOL (tptp.hAPP @t2086 @t4203)))))) % 6.71/6.99 (assume @p3324 (forall (@list @t173 @t2727 @t10 @t41) (= @t4172 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4147 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3817 @t4517 @t10) @t4162) @t4170)) @t2727))))) % 6.71/6.99 (assume @p3325 (forall (@list @t1 @t2 @t60 @t21 @t10 @t41) (=> @t2929 (=> @t2064 (= (tptp.hAPP (tptp.hAPP @t2914 (tptp.hAPP (tptp.hAPP @t3358 (tptp.hAPP (tptp.hAPP @t3583 (tptp.hAPP @t3582 @t60)) @t2)) @t1)) @t21) (tptp.hAPP (tptp.hAPP @t2945 (tptp.hAPP @t2915 @t4458)) (tptp.hAPP @t2926 (tptp.hAPP @t319 @t4417)))))))) % 6.71/6.99 (assume @p3326 (forall @t4391 (=> (not @t4390) (= @t4388 @t4383)))) % 6.71/6.99 (assume @p3327 (forall (@list @t21 @t3230 @t41 @t10) (exists @t881 (and (tptp.c_Fun_Oinj__on @t10 @t3817 @t880 @t3264) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4485 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3817 @t880) @t3264)) (tptp.hAPP (tptp.hAPP @t4442 @t3230) @t21))))))) % 6.71/6.99 (assume @p3328 (forall @t4518 (=> @t4470 (=> @t4279 @t4284)))) % 6.71/6.99 (assume @p3329 (forall (@list @t1 @t20 @t41 @t21 @t10 @t2989) (=> @t3671 (=> @t2064 (=> @t2091 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3203 (tptp.hAPP (tptp.hAPP @t4494 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2989 @t4492) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3814 (tptp.tc_fun @t2989 @t4492) @t10) @t3204) @t1)) @t4519)) @t20)) @t4519) @t21) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t2989 @t2097 @t3202) (tptp.hAPP @t3780 @t1)) @t4519) @t4406))))))) % 6.71/6.99 (assume @p3330 (forall @t55 (=> @t2064 (tptp.hBOOL (tptp.hAPP @t2086 @t4521))))) % 6.71/6.99 (assume @p3331 (forall @t55 (= @t226 @t4521))) % 6.71/6.99 (assume @p3332 (forall @t2103 (tptp.c_Fun_Oinj__on @t46 @t2098 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2098 @t2098 @t46) @t4425) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3314 @t2098 @t46) @t3795) (tptp.hAPP @t4258 (tptp.hAPP (tptp.c_COMBC @t41 @t41 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t2122))) % 6.71/6.99 (assume @p3333 (forall @t1688 (tptp.c_Nat__Transfer_Onat__set @t4523))) % 6.71/6.99 (assume @p3334 (forall @t164 (= @t4045 (tptp.hAPP (tptp.c_Set_OCollect @t4047) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t23 @t23 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t4527 (tptp.hAPP @t4526 @t621))) @t2063)))))) % 6.71/6.99 (assume @p3335 (forall (@list @t2 @t2727 @t10 @t41) (= @t4138 (tptp.hAPP @t4533 (tptp.hAPP @t4209 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4128 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4532 (tptp.tc_fun @t4128 @t23) @t10) (tptp.c_COMBC @t10 @t4128 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4530 @t4532 @t10) (tptp.hAPP (tptp.c_COMBB @t4040 @t4531 @t10) @t4041)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t46 @t4530) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4529 (tptp.tc_fun @t46 @t4530) @t10) (tptp.c_COMBB @t41 @t4040 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 @t4529 @t10) @t4039) @t2))) @t2)))) @t2727)))))) % 6.71/6.99 (assume @p3336 (forall @t1688 (= @t4523 (tptp.hAPP @t1673 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t60) @t1511)))))) % 6.71/6.99 (assume @p3337 (forall @t1688 (= (tptp.hAPP @t4382 @t60) (tptp.hAPP @t1775 (tptp.hAPP @t4522 (tptp.hAPP @t3907 (tptp.hAPP (tptp.hAPP @t3688 @t60) tptp.c_Int_Onat))))))) % 6.71/6.99 (assume @p3338 (forall @t2288 (= (tptp.c_Nitpick_Oprod @t10 @t41 @t21 @t20) (tptp.hAPP @t4425 (tptp.hAPP @t3795 @t4534))))) % 6.71/6.99 (assume @p3339 (forall @t4538 (= @t4537 (tptp.hAPP @t4536 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t1589 @t1589) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2687 @t3909 tptp.tc_Int_Oint) @t3657) @t4535)) @t1521)))))) % 6.71/6.99 (assume @p3340 (forall @t4538 (= @t4539 (tptp.hAPP @t4536 (tptp.hAPP @t3821 (tptp.hAPP (tptp.hAPP @t3820 (tptp.hAPP @t3660 @t4535)) @t1521)))))) % 6.71/6.99 (assume @p3341 (forall @t2730 (= @t4541 (tptp.c_Relation_Orefl__on @t10 @t165 @t4540)))) % 6.71/6.99 (assume @p3342 (forall @t4542 (=> @t3671 (=> @t2064 (=> @t2091 (= (tptp.hAPP (tptp.hAPP @t3668 (tptp.hAPP (tptp.hAPP @t4494 (tptp.hAPP (tptp.hAPP @t4493 @t3669) @t2)) @t20)) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2097 @t2989) @t3781) @t4406))))))) % 6.71/6.99 (assume @p3343 (forall @t4542 (=> @t2995 (=> @t2064 (=> @t2091 (= (tptp.hAPP (tptp.hAPP @t2990 (tptp.hAPP @t4495 @t20)) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2097 @t2989) @t3781) @t4406))))))) % 6.71/6.99 (assume @p3344 (forall @t4296 (=> @t4541 (tptp.hBOOL (tptp.hAPP @t4543 @t51))))) % 6.71/6.99 (assume @p3345 (forall (@list @t151 @t3274 @t2290 @t41 @t728 @t10) (=> @t2298 (=> @t4496 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t822 @t2290)) (= (tptp.hAPP @t1960 (tptp.hAPP @t4392 (tptp.hAPP @t4489 @t4545))) @t151))) (= (tptp.hAPP (tptp.hAPP @t2930 (tptp.hAPP @t4544 @t4491)) @t728) (tptp.hAPP @t1082 (tptp.hAPP @t1979 @t2290)))))))) % 6.71/6.99 (assume @p3346 (forall @t2096 (=> @t2064 (=> @t2091 (= (tptp.hAPP @t4450 @t4406) (tptp.hAPP (tptp.hAPP @t2930 (tptp.hAPP @t4544 @t20)) @t21)))))) % 6.71/6.99 (assume @p3347 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (= (tptp.hAPP (tptp.hAPP @t3039 @t3175) @t3180) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP @t4559 (tptp.hAPP (tptp.hAPP @t4556 (tptp.hAPP @t4555 (tptp.hAPP @t4554 (tptp.hAPP @t4551 (tptp.hAPP @t4549 @t3039))))) @t4546))))))))))))) % 6.71/6.99 (assume @p3348 (forall @t4126 (=> @t4403 (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t4408 (tptp.hAPP @t4560 (tptp.hAPP (tptp.hAPP @t3286 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4207 @t3265 @t41) @t4340) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 @t4207 @t41) @t4206) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t46 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 @t4261 @t41) @t4260) tptp.c_fequal)) @t2)))) @t60)))))))) % 6.71/6.99 (assume @p3349 (forall (@list @t57 @t41 @t60 @t10) (=> @t4403 (= (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t4408 (tptp.hAPP @t4560 (tptp.hAPP (tptp.hAPP @t3282 @t4399) @t57))))) (forall @t1180 (=> @t4563 (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t4408 (tptp.hAPP @t4562 @t282)))))))))) % 6.71/6.99 (assume @p3350 (forall @t55 (= (tptp.hAPP @t224 @t331) (tptp.hAPP @t4520 (tptp.hAPP (tptp.hAPP @t4564 @t4566) (tptp.hAPP (tptp.hAPP @t4528 (tptp.hAPP @t4527 (tptp.hAPP @t4526 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t3265 @t113) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t113 (tptp.tc_fun @t3265 @t113) @t23) @t4565) tptp.c_fequal)) @t301)))) (tptp.hAPP (tptp.hAPP @t4564 @t280) @t224))))))) % 6.71/6.99 (assume @p3351 (forall @t4571 (=> @t4570 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t4567 @t3128) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t4569))))))) % 6.71/6.99 (assume @p3352 (forall @t4571 (=> @t4570 (=> @t2544 (=> @t2543 (= (tptp.hAPP @t4567 @t3108) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t4569))))))) % 6.71/6.99 (assume @p3353 (forall @t29 (=> @t4572 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (= (tptp.hAPP (tptp.hAPP @t463 @t2526) @t2533) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP @t4559 (tptp.hAPP (tptp.hAPP @t4556 (tptp.hAPP @t4555 (tptp.hAPP @t4554 (tptp.hAPP @t4551 (tptp.hAPP @t4549 @t463))))) @t4546))))))))))))) % 6.71/6.99 (assume @p3354 (forall @t746 (=> @t4572 (=> @t2064 (=> @t430 (= (tptp.hAPP @t511 @t2526) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4552 (tptp.hAPP @t4208 (tptp.hAPP @t4568 @t511)))) @t3621)))))))))) % 6.71/6.99 (assume @p3355 (forall @t746 (=> @t4572 (=> @t2064 (=> @t430 (= (tptp.hAPP @t536 @t2540) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4552 (tptp.hAPP @t4208 (tptp.hAPP @t4568 @t536)))) @t3621)))))))))) % 6.71/6.99 (assume @p3356 (forall @t29 (=> @t4572 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (= (tptp.hAPP (tptp.hAPP @t458 @t2540) @t2551) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP @t4559 (tptp.hAPP (tptp.hAPP @t4556 (tptp.hAPP @t4555 (tptp.hAPP @t4554 (tptp.hAPP @t4551 (tptp.hAPP @t4549 @t458))))) @t4546))))))))))))) % 6.71/6.99 (assume @p3357 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hAPP @t3130 @t3096) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4552 (tptp.hAPP @t4208 (tptp.hAPP @t4568 @t3130)))) @t3621)))))))))) % 6.71/6.99 (assume @p3358 (forall @t746 (=> @t120 (=> @t2064 (=> @t430 (= (tptp.hAPP @t3052 @t3175) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4552 (tptp.hAPP @t4208 (tptp.hAPP @t4568 @t3052)))) @t3621)))))))))) % 6.71/6.99 (assume @p3359 (forall @t29 (=> @t120 (=> @t2064 (=> @t430 (=> @t2126 (=> @t2222 (= (tptp.hAPP (tptp.hAPP @t3129 @t3096) @t3104) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 (tptp.hAPP @t4392 (tptp.hAPP @t4558 (tptp.hAPP @t4559 (tptp.hAPP (tptp.hAPP @t4556 (tptp.hAPP @t4555 (tptp.hAPP @t4554 (tptp.hAPP @t4551 (tptp.hAPP @t4549 @t3129))))) @t4546))))))))))))) % 6.71/6.99 (assume @p3360 (forall (@list @t20 @t21 @t1 @t2 @t41 @t10 @t2989) (=> (tptp.class_Rings_Osemiring__0 @t2989) (=> (tptp.c_Fun_Oinj__on @t2097 @t2989 (tptp.hAPP @t3780 @t4574) @t4449) (= (tptp.hAPP (tptp.hAPP @t3202 (tptp.hAPP (tptp.hAPP @t2990 @t2) @t21)) (tptp.hAPP (tptp.hAPP @t2991 @t1) @t20)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2989 @t2989) (tptp.c_Fun_Oid @t2989)) (tptp.hAPP (tptp.c_Set_OCollect @t2989) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t2989) @t4557) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3314 @t23 @t2989) @t4581) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2989 @t3314 @t3314) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4579 (tptp.tc_fun @t3314 @t3314) @t2989) @t4424) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4578 @t4579 @t2989) (tptp.hAPP (tptp.c_COMBB @t4577 @t3255 @t10) @t4474)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3314 @t4578 @t2989) (tptp.hAPP (tptp.c_COMBB @t393 @t4577 @t10) @t4490)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2989 @t4576 @t3314) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4575 (tptp.tc_fun @t4576 @t3314) @t2989) (tptp.c_COMBB @t3814 @t393 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3215 @t4575 @t2989) (tptp.c_COMBB @t2989 tptp.tc_HOL_Obool @t41)) tptp.c_fequal))) @t4574))))) @t4534)))))))))) % 6.71/6.99 (assume @p3361 (forall @t2096 (=> @t2064 (=> @t4582 (tptp.hBOOL (tptp.hAPP @t2100 @t4406)))))) % 6.71/6.99 (assume @p3362 (forall (@list @t151 @t3274 @t771 @t41 @t3975 @t10) (=> @t4058 (=> (tptp.hBOOL (tptp.hAPP @t2077 @t771)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t822 @t771)) (= (tptp.hAPP @t1960 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 (tptp.hAPP @t3275 @t3975))) @t4545))) (tptp.hAPP @t151 @t3)))) (= (tptp.hAPP (tptp.hAPP @t2930 (tptp.hAPP @t4544 (tptp.hAPP @t4421 (tptp.hAPP (tptp.hAPP @t3249 (tptp.hAPP @t4474 (tptp.hAPP @t4490 (tptp.hAPP @t3501 @t771)))) @t3274)))) @t3975) (tptp.hAPP (tptp.hAPP @t3556 @t151) @t771))))))) % 6.71/6.99 (assume @p3363 (forall @t55 (tptp.c_Fun_Oinj__on @t10 @t10 @t4583 @t21))) % 6.71/6.99 (assume @p3364 (= @t1846 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 6.71/6.99 (assume @p3365 (forall @t2103 (= (tptp.c_Product__Type_Oapfst @t10 @t10 @t41 @t4583) @t4584))) % 6.71/6.99 (assume @p3366 (forall (@list @t4585 @t31) (= (tptp.hAPP @t4586 @t4585) @t4585))) % 6.71/6.99 (assume @p3367 (forall @t4588 (= (tptp.c_Product__Type_Oapsnd @t41 @t41 @t10 @t4587) @t4584))) % 6.71/6.99 (assume @p3368 (forall @t35 (= (tptp.hAPP @t4586 @t30) @t30))) % 6.71/6.99 (assume @p3369 (forall @t55 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t4583) @t21) @t21))) % 6.71/6.99 (assume @p3370 (forall @t3406 (=> (= @t3405 (tptp.hAPP @t4589 @t291)) @t3404))) % 6.71/6.99 (assume @p3371 (forall (@list @t1 @t10 @t41) (= (tptp.hAPP @t4589 @t1) @t1))) % 6.71/6.99 (assume @p3372 (forall @t1027 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t41 @t10 @t2) @t4583) @t2))) % 6.71/6.99 (assume @p3373 (forall @t3388 (= (tptp.hAPP @t4590 @t3386) @t3386))) % 6.71/6.99 (assume @p3374 (forall @t164 (= (tptp.hAPP @t4590 @t165) @t165))) % 6.71/6.99 (assume @p3375 (forall (@list @t791 @t2 @t41 @t10) (=> @t3961 (= (tptp.hAPP @t791 @t146) @t4587)))) % 6.71/6.99 (assume @p3376 (forall @t2103 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t2097) @t3303) @t4584))) % 6.71/6.99 (assume @p3377 (forall @t4591 (=> @t2929 (=> @t1024 (= @t2952 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t41 @t41) @t4587) @t833)))))) % 6.71/6.99 (assume @p3378 (forall @t4591 (=> @t2277 (=> @t1024 (= @t2894 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t41 @t41) @t4587) @t833)))))) % 6.71/6.99 (assume @p3379 (forall (@list @t20 @t21 @t291 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4595 @t4406)) (not (forall @t7 (=> @t250 (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t4594 @t2090)) (not (= @t291 @t4593)))))))))) % 6.71/6.99 (assume @p3380 (forall (@list @t1 @t2989 @t3425 @t2 @t10 @t41) (=> @t879 (=> (= (tptp.hAPP @t4600 (tptp.c_Orderings_Otop__class_Otop @t4510)) @t3609) (= (tptp.hAPP @t4599 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4598 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4597)))))) % 6.71/6.99 (assume @p3381 (forall @t55 (= @t2064 (exists (@list @t36 @t880) (= @t21 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t880) (tptp.hAPP @t4382 (tptp.hAPP @t4377 @t36)))))))) % 6.71/6.99 (assume @p3382 (forall (@list @t1 @t2 @t3425 @t2989 @t3274 @t248 @t173 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3786 @t3274)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP @t4603 @t829) @t4602)) (tptp.hAPP (tptp.c_Set_Oimage @t2097 @t4511 @t4601) @t3274)))))) % 6.71/6.99 (assume @p3383 (forall @t2103 (= @t4605 @t4584))) % 6.71/6.99 (assume @p3384 (forall @t2103 (= (tptp.c_Product__Type_Omap__pair @t10 @t10 @t41 @t41 @t4583 @t4587) @t4584))) % 6.71/6.99 (assume @p3385 (forall (@list @t1 @t2 @t41 @t10 @t2989 @t3425) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4606 @t2989 @t2097 @t4061) (tptp.c_Product__Type_Omap__pair @t10 @t3425 @t41 @t2989 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t2989 @t2097 @t1) @t3984)))) % 6.71/6.99 (assume @p3386 (forall (@list @t4607 @t220 @t2075 @t3966 @t3436 @t1 @t2 @t41 @t3425 @t10 @t2989) (= (tptp.hAPP @t4608 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3436 @t2989 @t3966 @t3425 @t2075 @t220) @t4607)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t3436 @t10 @t3966 @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t10 @t3436 @t2) @t2075) (tptp.hAPP (tptp.c_Fun_Ocomp @t3425 @t41 @t3966 @t1) @t220)) @t4607)))) % 6.71/6.99 (assume @p3387 (forall (@list @t4609 @t4610 @t3966 @t285 @t287 @t3436 @t3425 @t41 @t2989 @t10) (= (tptp.c_Product__Type_Omap__pair @t10 @t2989 @t41 @t3425 (tptp.hAPP (tptp.c_Fun_Ocomp @t3436 @t2989 @t10 @t287) @t285) (tptp.hAPP (tptp.c_Fun_Ocomp @t3966 @t3425 @t41 @t4610) @t4609)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4611 @t4511 @t2097 (tptp.c_Product__Type_Omap__pair @t3436 @t2989 @t3966 @t3425 @t287 @t4610)) (tptp.c_Product__Type_Omap__pair @t10 @t3436 @t41 @t3966 @t285 @t4609))))) % 6.71/6.99 (assume @p3388 (forall (@list @t220 @t2075 @t1 @t2 @t41 @t10 @t3425 @t2989 @t3966 @t3436) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4611 @t4511 @t2097 (tptp.c_Product__Type_Omap__pair @t3436 @t2989 @t3966 @t3425 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t10 @t3436 @t41 @t3966 @t2075 @t220)) (tptp.c_Product__Type_Omap__pair @t10 @t2989 @t41 @t3425 (tptp.hAPP (tptp.c_Fun_Ocomp @t3436 @t2989 @t10 @t2) @t2075) (tptp.hAPP (tptp.c_Fun_Ocomp @t3966 @t3425 @t41 @t1) @t220))))) % 6.71/6.99 (assume @p3389 (forall (@list @t1 @t2 @t41 @t10 @t3425 @t2989) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4511 @t2989 @t2097 @t4065) @t4601) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t2989 @t2097 @t2) @t3985)))) % 6.71/6.99 (assume @p3390 (forall (@list @t51 @t1 @t2 @t3425 @t2989 @t41 @t10) (= (tptp.hAPP @t3985 (tptp.hAPP @t4608 @t51)) @t4066))) % 6.71/6.99 (assume @p3391 (forall (@list @t51 @t1 @t2 @t3425 @t2989 @t10 @t41) (= (tptp.hAPP @t3948 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2989 @t41 @t3425 @t10 @t2 @t1) @t51)) @t4064))) % 6.71/6.99 (assume @p3392 (forall (@list @t513 @t41 @t10) (= (tptp.hAPP @t4605 @t513) @t513))) % 6.71/6.99 (assume @p3393 (forall (@list @t248 @t173 @t1 @t2 @t41 @t3425 @t10 @t2989) (= (tptp.hAPP @t4608 (tptp.hAPP (tptp.hAPP @t4603 @t173) @t248)) (tptp.hAPP (tptp.hAPP @t3303 @t829) @t4602)))) % 6.71/6.99 (assume @p3394 (forall (@list @t2 @t10 @t2989 @t41) (= (tptp.c_Product__Type_Oapsnd @t41 @t2989 @t10 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t10 @t41 @t2989 @t4583 @t2)))) % 6.71/6.99 (assume @p3395 (forall (@list @t2 @t41 @t2989 @t10) (= (tptp.c_Product__Type_Oapfst @t10 @t2989 @t41 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t2989 @t41 @t41 @t2 @t4587)))) % 6.71/6.99 (assume @p3396 (forall (@list @t1 @t2 @t3425 @t41 @t2989 @t10) (= @t4601 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t4511) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4614 @t4613) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4612 (tptp.tc_fun @t4614 @t4613) @t10) (tptp.c_COMBB @t3425 @t4511 @t41)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2989 @t4612 @t10) @t4603) @t2))) @t1))))) % 6.71/6.99 (assume @p3397 (forall (@list @t4615 @t20 @t1 @t2989 @t3425 @t1202 @t21 @t2 @t10 @t41) (=> @t4618 (=> (= (tptp.hAPP @t4600 @t20) @t4615) (= (tptp.hAPP @t4599 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t41 @t3425) @t21) (tptp.hAPP (tptp.c_COMBK @t4510 @t41) @t20))) (tptp.hAPP (tptp.hAPP @t4617 @t1202) (tptp.hAPP @t4616 @t4615))))))) % 6.71/6.99 (assume @p3398 (forall (@list @t20 @t1 @t3425 @t2989 @t21 @t2 @t41 @t10) (=> @t1025 (=> (tptp.c_Fun_Oinj__on @t2989 @t3425 @t1 @t20) (tptp.c_Fun_Oinj__on @t4596 @t4598 (tptp.c_Product__Type_Omap__pair @t10 @t41 @t2989 @t3425 @t2 @t1) (tptp.hAPP @t4619 (tptp.hAPP @t4616 @t20))))))) % 6.71/6.99 (assume @p3399 (forall (@list @t3274 @t1 @t2 @t3425 @t2989 @t291 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4595 (tptp.hAPP (tptp.c_Set_Oimage @t4511 @t2097 @t4608) @t3274))) (not (forall @t284 (=> (= @t291 (tptp.hAPP (tptp.hAPP @t3303 @t5) (tptp.hAPP @t1 @t282))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4604 (tptp.hAPP (tptp.hAPP @t4603 @t3) @t282)) @t3274))))))))) % 6.71/6.99 (assume @p3400 (forall (@list @t3975 @t2727 @t41 @t2989 @t10) (= @t4630 (tptp.hAPP @t4425 (tptp.hAPP @t3795 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3216 @t393 @t10) (tptp.hAPP (tptp.c_COMBB @t3215 tptp.tc_HOL_Obool @t41) (tptp.c_HOL_OEx @t2989))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3216 @t3216) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4372 (tptp.tc_fun @t3216 @t3216) @t10) (tptp.c_COMBB @t3215 @t3215 @t41)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4628 @t4372 @t10) (tptp.c_COMBS @t2989 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3215 @t4628 @t10) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t2989) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4597 @t3215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4627 (tptp.tc_fun @t4597 @t3215) @t10) (tptp.c_COMBC @t2989 @t4597 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2989 @t4596) @t4627 @t10) (tptp.hAPP (tptp.c_COMBB @t4596 @t4626 @t2989) @t4625)) @t3848))) @t2727))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t4622 @t3215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4624 (tptp.tc_fun @t4622 @t3215) @t41) (tptp.c_COMBC @t2989 @t4622 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2989 @t4620) @t4624 @t41) (tptp.hAPP (tptp.c_COMBB @t4620 @t4623 @t2989) @t4621)) (tptp.hAPP (tptp.c_COMBC @t2989 @t41 @t4620) @t4076)))) @t3975)))))))) % 6.71/6.99 (assume @p3401 (forall @t4634 (= (tptp.hAPP @t4633 @t4632) (tptp.hAPP @t4392 (tptp.hAPP @t4581 @t4631))))) % 6.71/6.99 (assume @p3402 (forall (@list @t3975 @t291 @t2989 @t2727 @t248 @t173 @t41 @t10) (=> @t4167 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3491 (tptp.hAPP (tptp.hAPP @t3489 @t248) @t291)) @t3975)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4625 (tptp.hAPP (tptp.hAPP @t3848 @t173) @t291)) @t4636)))))) % 6.71/6.99 (assume @p3403 (forall @t4638 (=> @t4167 (tptp.hBOOL (tptp.hAPP @t820 @t4637))))) % 6.71/6.99 (assume @p3404 (forall @t4639 (= (tptp.hAPP (tptp.hAPP @t4629 (tptp.c_Orderings_Obot__class_Obot @t4597)) @t3274) @t3480))) % 6.71/6.99 (assume @p3405 (forall @t4639 (= (tptp.hAPP @t4640 (tptp.c_Orderings_Obot__class_Obot @t4622)) @t3480))) % 6.71/6.99 (assume @p3406 (forall (@list @t2290 @t728 @t3274 @t41 @t2989 @t10) (= (tptp.hAPP @t4640 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4622) @t728) @t2290)) (tptp.hAPP (tptp.hAPP @t3302 (tptp.hAPP @t4640 @t728)) (tptp.hAPP @t4640 @t2290))))) % 6.71/6.99 (assume @p3407 (forall (@list @t3274 @t2290 @t728 @t41 @t2989 @t10) (= (tptp.hAPP (tptp.hAPP @t4629 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4597) @t728) @t2290)) @t3274) (tptp.hAPP (tptp.hAPP @t3302 (tptp.hAPP (tptp.hAPP @t4629 @t728) @t3274)) (tptp.hAPP (tptp.hAPP @t4629 @t2290) @t3274))))) % 6.71/6.99 (assume @p3408 (forall (@list @t2290 @t728 @t3274 @t3425 @t41 @t2989 @t10) (= (tptp.hAPP (tptp.hAPP @t4629 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t3425 @t2989) @t3274) @t728)) @t2290) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t3425 @t41) @t3274) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t3425 @t2989 @t41) @t728) @t2290))))) % 6.71/6.99 (assume @p3409 (forall (@list @t3975 @t4641 @t2989 @t2727 @t4154 @t41 @t10) (=> @t4155 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4643 @t4641) @t3975)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4642 (tptp.hAPP (tptp.hAPP @t4635 @t4154) @t4641)) @t4636)))))) % 6.71/6.99 (assume @p3410 (forall @t55 (= (tptp.hAPP @t4644 @t4198) @t21))) % 6.71/6.99 (assume @p3411 (forall (@list @t2727 @t3230 @t3425 @t3975 @t41 @t2989 @t10) (= (tptp.hAPP @t4645 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3425 @t4622) @t3230) @t2727)) (tptp.hAPP @t4646 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4622 @t2098 @t3425) @t4645) @t2727))))) % 6.71/6.99 (assume @p3412 (forall (@list @t3975 @t2727 @t3230 @t3425 @t41 @t2989 @t10) (= (tptp.hAPP (tptp.hAPP @t4629 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3425 @t4597) @t3230) @t2727)) @t3975) (tptp.hAPP @t4646 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3425 @t4622 @t2098) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4597 (tptp.tc_fun @t4622 @t2098) @t3425) @t4629) @t2727)) @t3975))))) % 6.71/6.99 (assume @p3413 (forall @t111 (=> (= (tptp.hAPP @t4648 @t20) @t3775) (=> @t4649 (= (tptp.hAPP @t4648 (tptp.hAPP (tptp.hAPP @t4192 @t20) @t108)) @t3775))))) % 6.71/6.99 (assume @p3414 (forall @t425 (=> @t4649 (=> (= (tptp.hAPP (tptp.hAPP @t4647 @t20) @t108) @t3775) (= (tptp.hAPP (tptp.hAPP @t4647 (tptp.hAPP (tptp.hAPP @t4192 @t21) @t20)) @t108) @t3775))))) % 6.71/6.99 (assume @p3415 (forall (@list @t728 @t10 @t41) (= (tptp.hAPP @t4633 (tptp.c_Complete__Lattice_OSup__class_OSup @t4147 @t728)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4147 @t23) @t728) @t4633)))) % 6.71/6.99 (assume @p3416 (forall @t4588 (= (tptp.hAPP @t4633 @t4650) @t146))) % 6.71/6.99 (assume @p3417 (forall @t4652 (= (= @t4651 @t146) (= @t2727 @t4650)))) % 6.71/6.99 (assume @p3418 (forall (@list @t108 @t3975 @t2989 @t20 @t21 @t2727 @t41 @t10) (=> @t4487 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4643 @t3975) (tptp.hAPP (tptp.hAPP @t4452 @t20) (tptp.hAPP @t4451 @t108)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4642 @t4636) (tptp.hAPP @t4619 (tptp.hAPP @t4616 @t108)))))))) % 6.71/6.99 (assume @p3419 (forall @t3384 (= (tptp.hAPP @t4633 (tptp.hAPP (tptp.hAPP @t4148 @t21) @t20)) (tptp.hAPP (tptp.hAPP @t269 @t4654) @t4653)))) % 6.71/6.99 (assume @p3420 (forall @t4656 (=> @t4655 (tptp.hBOOL (tptp.hAPP @t2077 @t4637))))) % 6.71/6.99 (assume @p3421 (forall @t4143 (= (tptp.hAPP (tptp.c_Set_Oimage @t3817 @t10 @t3948) @t3274) (tptp.hAPP @t4633 @t3274)))) % 6.71/6.99 (assume @p3422 (forall @t4657 (= (tptp.hBOOL (tptp.hAPP @t322 @t4651)) (exists @t1180 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4162 (tptp.hAPP (tptp.hAPP @t3816 @t282) @t173)) @t2727)))))) % 6.71/6.99 (assume @p3423 (forall (@list @t2727 @t248 @t173 @t10 @t41) (= (tptp.hAPP @t4633 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3817) @t4171) @t2727)) (tptp.hAPP @t606 @t4651)))) % 6.71/6.99 (assume @p3424 (forall @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t4633 (tptp.hAPP (tptp.hAPP @t4658 @t21) @t20))) (tptp.hAPP (tptp.hAPP @t264 @t4654) @t4653))))) % 6.71/6.99 (assume @p3425 (forall @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t784 @t4654) @t4653)) (tptp.hAPP @t4633 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4147) @t21) @t20)))))) % 6.71/6.99 (assume @p3426 (forall @t3445 (=> @t4665 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP (tptp.hAPP @t4662 @t4110) (tptp.hAPP (tptp.hAPP @t4661 (tptp.c_Wellfounded_Omax__ext @t10 @t728)) @t4660))) @t4110))))) % 6.71/6.99 (assume @p3427 (forall @t3445 (=> @t4665 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP (tptp.hAPP @t4662 @t4666) (tptp.hAPP (tptp.hAPP @t4661 (tptp.c_Wellfounded_Omin__ext @t10 @t728)) @t4660))) @t4666))))) % 6.71/6.99 (assume @p3428 (forall @t3503 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t10 @t41 @t4667) @t51)) (tptp.hBOOL (tptp.hAPP @t797 @t4637))))) % 6.71/6.99 (assume @p3429 (forall (@list @t2727 @t41 @t248 @t10) (=> (tptp.hBOOL (tptp.hAPP @t345 @t4651)) (not (forall @t7 (not @t4163)))))) % 6.71/6.99 (assume @p3430 (forall (@list @t97 @t51 @t3975 @t2727 @t2989 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t10 @t41 @t2989 @t4667 (tptp.hAPP @t3496 @t3975)) @t51) @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4625 @t3849) @t4636))))) % 6.71/6.99 (assume @p3431 (forall (@list @t2989 @t41 @t10 @t291 @t3975 @t248 @t173 @t2727) (=> @t3934 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3975 @t248) @t291)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4668 @t173) @t291)))))) % 6.71/6.99 (assume @p3432 (forall @t4670 (=> @t3934 (tptp.hBOOL (tptp.hAPP @t4669 @t248))))) % 6.71/6.99 (assume @p3433 (forall (@list @t937 @t2727 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP @t4669 @t937)) (exists @t2993 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2727 @t1231) @t937)))))) % 6.71/6.99 (assume @p3434 (forall (@list @t1015 @t938 @t3975 @t2727 @t2989 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4668 @t938) @t1015)) (exists @t896 (and (tptp.hBOOL (tptp.hAPP @t4671 @t893)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3975 @t893) @t1015))))))) % 6.71/6.99 (assume @p3435 (forall @t3445 (=> @t4672 (=> @t4665 (tptp.c_FunDef_Oreduction__pair @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3773 @t3773) @t3274) @t728)))))) % 6.71/6.99 (assume @p3436 (forall @t4333 (= (tptp.hAPP @t4674 @t4673) (tptp.hAPP @t4392 (tptp.hAPP @t4581 @t60))))) % 6.71/6.99 (assume @p3437 (forall @t204 (= (tptp.c_HOL_OThe @t10 @t4334) @t51))) % 6.71/6.99 (assume @p3438 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.71/6.99 (assume @p3439 (forall @t164 (tptp.c_Wellfounded_Owf @t10 @t3775))) % 6.71/6.99 (assume @p3440 (forall @t4677 (=> @t4676 (tptp.c_Wellfounded_Owf @t41 @t4675)))) % 6.71/6.99 (assume @p3441 (forall (@list @t4678 @t41 @t4679 @t10) (=> (tptp.c_Wellfounded_Owf @t10 @t4679) (=> (tptp.c_Wellfounded_Owf @t41 @t4678) (tptp.c_Wellfounded_Owf @t2097 (tptp.c_Wellfounded_Olex__prod @t10 @t41 @t4679 @t4678)))))) % 6.71/6.99 (assume @p3442 (forall @t233 (tptp.c_Wellfounded_Owf @t10 @t3957))) % 6.71/6.99 (assume @p3443 (forall @t4638 (=> @t4167 @t4681))) % 6.71/6.99 (assume @p3444 (forall @t4187 (= @t4672 (tptp.c_Wellfounded_Owf @t10 @t4682)))) % 6.71/6.99 (assume @p3445 (forall @t2730 (=> @t4676 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Wellfounded_Omin__ext @t10 @t2727))))) % 6.71/6.99 (assume @p3446 (forall @t4683 (=> @t4676 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t2934) @t2727)) (tptp.c_Wellfounded_Owf @t10 @t2934))))) % 6.71/6.99 (assume @p3447 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4685 (tptp.hAPP @t4684 @t599)))) % 6.71/6.99 (assume @p3448 (forall @t2730 (=> @t4676 (tptp.c_Wellfounded_Owf @t23 (tptp.c_Wellfounded_Omax__ext @t10 @t2727))))) % 6.71/6.99 (assume @p3449 (tptp.c_Wellfounded_Owf @t3855 tptp.c_FunDef_Opair__less)) % 6.71/6.99 (assume @p3450 (forall (@list @t2 @t3274 @t10) (=> @t4672 (tptp.c_Wellfounded_Owf @t10 @t4017)))) % 6.71/6.99 (assume @p3451 (forall @t4686 (=> @t4676 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4288 @t4154))))) % 6.71/6.99 (assume @p3452 (forall @t4686 (=> @t4676 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4287 @t4154) @t2727))))) % 6.71/6.99 (assume @p3453 (forall @t164 (tptp.c_Wellfounded_Owf @t23 @t4045))) % 6.71/6.99 (assume @p3454 (forall @t55 (= (tptp.hAPP @t4687 @t4198) @t21))) % 6.71/6.99 (assume @p3455 (forall @t3933 (=> @t4676 (not @t4292)))) % 6.71/6.99 (assume @p3456 (forall (@list @t51 @t173 @t2727 @t10) (=> @t4676 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4042 @t51)) @t2727)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t3958 @t173)) @t2727))))))) % 6.71/6.99 (assume @p3457 (forall @t4538 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4537))) % 6.71/6.99 (assume @p3458 (forall @t4538 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4539))) % 6.71/6.99 (assume @p3459 (forall @t4191 (=> @t4676 (=> (tptp.c_Wellfounded_Owf @t10 @t3975) (=> (= (tptp.hAPP (tptp.hAPP @t264 @t4688) (tptp.hAPP @t4644 @t3975)) @t146) (tptp.c_Wellfounded_Owf @t10 @t4194)))))) % 6.71/6.99 (assume @p3460 (forall @t4296 (=> @t4676 @t4294))) % 6.71/6.99 (assume @p3461 (forall @t2730 (= @t4676 (forall @t7 @t4299)))) % 6.71/6.99 (assume @p3462 (forall @t4187 (=> (= @t4682 @t3775) @t4672))) % 6.71/6.99 (assume @p3463 (forall @t3445 (= @t4691 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4192 (tptp.hAPP (tptp.hAPP @t4192 @t4682) (tptp.hAPP (tptp.hAPP @t4647 @t728) @t3274))) @t728))))) % 6.71/6.99 (assume @p3464 (forall @t2103 (= (tptp.hAPP @t4674 @t3480) @t146))) % 6.71/6.99 (assume @p3465 (forall @t4656 (= (= @t4680 @t146) (= @t2727 @t3480)))) % 6.71/6.99 (assume @p3466 (forall @t4693 (=> @t4692 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4680) (tptp.hAPP @t4674 @t3975)))))) % 6.71/6.99 (assume @p3467 (forall @t2288 (= (tptp.hAPP @t4674 (tptp.hAPP (tptp.hAPP @t3302 @t21) @t20)) (tptp.hAPP (tptp.hAPP @t269 @t4695) @t4694)))) % 6.71/6.99 (assume @p3468 (forall @t4656 (=> @t4655 (tptp.hBOOL (tptp.hAPP @t2063 @t4680))))) % 6.71/6.99 (assume @p3469 (forall @t4696 (= (tptp.hAPP (tptp.c_Set_Oimage @t2097 @t10 @t3985) @t3274) (tptp.hAPP @t4674 @t3274)))) % 6.71/6.99 (assume @p3470 (forall @t2730 (= @t4676 (not (exists @t881 (forall @t905 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP @t880 @t901)) (tptp.hAPP @t880 @t898))) @t2727)))))))) % 6.71/6.99 (assume @p3471 (forall (@list @t21 @t3274 @t10) (=> @t4672 (=> (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t4697 @t21))) @t166)))) % 6.71/6.99 (assume @p3472 (forall @t3445 (=> @t4672 (=> @t4698 (=> @t4665 @t4691))))) % 6.71/6.99 (assume @p3473 (forall @t4657 (= @t4681 (exists @t1180 @t4699)))) % 6.71/6.99 (assume @p3474 (forall @t164 (=> @t4026 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4533 (tptp.hAPP @t4209 @t591)))))) % 6.71/6.99 (assume @p3475 (forall @t4638 (= (tptp.hAPP @t4674 (tptp.hAPP @t4505 @t2727)) (tptp.hAPP @t657 @t4680)))) % 6.71/6.99 (assume @p3476 (forall @t4027 (= @t4125 (and (tptp.c_Wellfounded_Owf @t10 @t4700) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 (tptp.hAPP (tptp.hAPP @t4647 @t4700) @t4701)) @t4700)))))) % 6.71/6.99 (assume @p3477 (forall (@list @t728 @t3274 @t60 @t10) (=> @t4125 (=> (tptp.hBOOL (tptp.hAPP @t4703 @t4700)) (=> (tptp.hBOOL (tptp.hAPP @t4702 @t4701)) (=> @t4698 @t4691)))))) % 6.71/6.99 (assume @p3478 (forall @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t4674 (tptp.hAPP (tptp.hAPP @t3345 @t21) @t20))) (tptp.hAPP (tptp.hAPP @t264 @t4695) @t4694))))) % 6.71/6.99 (assume @p3479 (forall @t2288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t784 @t4695) @t4694)) (tptp.hAPP @t4674 (tptp.hAPP (tptp.hAPP @t4432 @t21) @t20)))))) % 6.71/6.99 (assume @p3480 (forall @t2730 (= @t4183 (tptp.hAPP (tptp.hAPP @t269 @t4688) @t4704)))) % 6.71/6.99 (assume @p3481 (forall @t4677 (=> @t4676 (=> @t1074 (tptp.c_Wellfounded_Owf @t41 (tptp.hAPP (tptp.c_Set_Oimage @t3772 @t4040 (tptp.c_Product__Type_Omap__pair @t10 @t41 @t10 @t41 @t2 @t2)) @t2727)))))) % 6.71/6.99 (assume @p3482 (forall (@list @t728 @t41 @t10) (= (tptp.hAPP @t4674 (tptp.c_Complete__Lattice_OSup__class_OSup @t2098 @t728)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2098 @t23) @t728) @t4674)))) % 6.71/6.99 (assume @p3483 (forall @t174 (= (tptp.c_HOL_OThe @t10 @t3581) @t173))) % 6.71/6.99 (assume @p3484 (forall @t3503 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t10 @t41 @t4667) @t51)) (tptp.hBOOL (tptp.hAPP @t326 @t4680))))) % 6.71/6.99 (assume @p3485 (forall @t2730 (=> @t4676 (tptp.c_Wellfounded_Owf @t4706 @t4705)))) % 6.71/6.99 (assume @p3486 (forall @t4657 (=> @t4681 (not (forall @t1180 (not @t4699)))))) % 6.71/6.99 (assume @p3487 (forall @t4670 (=> @t3934 (tptp.hBOOL (tptp.hAPP @t4707 @t173))))) % 6.71/6.99 (assume @p3488 (forall (@list @t938 @t2727 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP @t4707 @t938)) (exists @t1725 (tptp.hBOOL (tptp.hAPP @t4671 @t1723)))))) % 6.71/6.99 (assume @p3489 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4685 (tptp.hAPP @t4684 (tptp.hAPP (tptp.hAPP @t4708 (tptp.hAPP @t4376 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 6.71/6.99 (assume @p3490 (forall @t2730 (=> @t4676 (tptp.c_Wellfounded_Owf @t4706 @t4709)))) % 6.71/6.99 (assume @p3491 (forall @t4712 (=> @t4676 (tptp.c_Wellfounded_Owf @t4706 @t4711)))) % 6.71/6.99 (assume @p3492 (forall @t2730 (= @t4709 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4714) @t964) @t4710)))) % 6.71/6.99 (assume @p3493 (forall @t2730 (= (tptp.hAPP @t4710 @t890) (tptp.c_Orderings_Obot__class_Obot @t4714)))) % 6.71/6.99 (assume @p3494 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.71/6.99 (assume @p3495 (forall (@list @t10 @t3274 @t41 @t60) (=> (forall @t7 (=> @t168 (tptp.c_Wellfounded_Owf @t41 @t4245))) (tptp.c_Wellfounded_Owf @t2097 @t4050)))) % 6.71/6.99 (assume @p3496 (forall (@list @t10 @t1 @t2 @t60) (=> (forall @t7 (=> @t168 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t2 @t4)) @t5)))) (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4533 (tptp.hAPP @t4209 (tptp.hAPP (tptp.hAPP @t4200 @t4399) (tptp.hAPP @t4568 @t1)))))))) % 6.71/6.99 (assume @p3497 (forall @t2730 (= @t4715 (tptp.c_Wellfounded_Owf @t10 @t4540)))) % 6.71/6.99 (assume @p3498 (forall @t164 (tptp.c_Wellfounded_OwfP @t10 (tptp.hAPP @t4467 @t4414)))) % 6.71/6.99 (assume @p3499 (forall @t2730 (= @t4715 (forall @t1725 (tptp.hBOOL (tptp.hAPP @t3930 @t1723)))))) % 6.71/6.99 (assume @p3500 (forall @t4296 (=> @t4715 (tptp.hBOOL (tptp.hAPP @t3930 @t51))))) % 6.71/6.99 (assume @p3501 (forall @t4683 (=> @t4715 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3926 @t2934) @t2727)) (tptp.c_Wellfounded_OwfP @t10 @t2934))))) % 6.71/6.99 (assume @p3502 (forall @t4187 (=> @t4672 (tptp.c_Wellfounded_OwfP @t10 (tptp.c_FunDef_Oin__rel @t10 @t10 @t3274))))) % 6.71/6.99 (assume @p3503 (forall @t2730 (= (tptp.c_Wellfounded_OwfP @t10 @t4295) @t4676))) % 6.71/6.99 (assume @p3504 (forall @t2730 (=> @t4715 @t4716))) % 6.71/6.99 (assume @p3505 (forall @t2160 (=> @t2146 (=> (tptp.hBOOL (tptp.hAPP @t2077 @t819)) (exists @t7 (and @t250 (not (tptp.hBOOL (tptp.hAPP @t2063 (tptp.hAPP @t4392 (tptp.hAPP @t4341 (tptp.hAPP @t4339 @t5)))))))))))) % 6.71/6.99 (assume @p3506 (forall @t4719 (=> (forall @t1180 (=> @t4718 (tptp.hBOOL (tptp.hAPP @t60 @t4717)))) @t63))) % 6.71/6.99 (assume @p3507 (forall @t2730 (=> @t4676 @t4720))) % 6.71/6.99 (assume @p3508 (forall @t4721 (=> (tptp.c_Wellfounded_Oacyclic @t10 @t3975) (=> @t4190 @t4720)))) % 6.71/6.99 (assume @p3509 (forall @t2730 (=> @t4196 (=> @t4720 @t4676)))) % 6.71/6.99 (assume @p3510 (forall @t2730 (=> @t4196 (= @t4676 @t4720)))) % 6.71/6.99 (assume @p3511 (forall @t2730 (= (tptp.c_Nitpick_Owf_H @t10 @t2727) (and @t4720 (or @t4196 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 6.71/6.99 (assume @p3512 (forall @t1855 (not (forall @t1180 (=> (= @t51 @t4717) (not @t4718)))))) % 6.71/6.99 (assume @p3513 (forall @t2096 (=> @t2064 (=> @t4582 @t2095)))) % 6.71/6.99 (assume @p3514 (forall (@list @t151 @t1071) (=> (forall @t7 (=> @t2124 (tptp.hBOOL (tptp.hAPP @t951 @t3)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3706 @t151) @t1071)))) % 6.71/6.99 (assume @p3515 (forall (@list @t10 @t2727 @t41) (=> (forall @t905 (tptp.c_Wellfounded_OwfP @t41 @t4723)) (=> (forall @t2046 (=> (not (= @t4723 @t4722)) (= (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Predicate_ODomainP @t41 @t41 @t4723)) (tptp.c_Predicate_ORangeP @t41 @t41 @t4722)) @t825))) (tptp.c_Wellfounded_OwfP @t41 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 (tptp.tc_fun @t41 @t393)) @t165) @t2727)))))) % 6.71/6.99 (assume @p3516 (forall (@list @t2934 @t291 @t2989 @t41 @t513 @t10) (=> (tptp.hBOOL (tptp.hAPP @t824 (tptp.hAPP @t3800 @t2934))) (not (forall @t284 (=> (= @t2934 (tptp.hAPP (tptp.hAPP @t3489 @t3) @t282)) (not (tptp.hBOOL (tptp.hAPP @t824 (tptp.hAPP (tptp.hAPP @t291 @t3) @t282)))))))))) % 6.71/6.99 (assume @p3517 (forall (@list @t291 @t513 @t2989 @t41 @t10 @t2934) (=> (forall @t3808 (=> (= @t2934 @t3807) (tptp.hBOOL (tptp.hAPP @t4724 (tptp.hAPP (tptp.hAPP @t291 @t1231) @t893))))) (tptp.hBOOL (tptp.hAPP @t4724 (tptp.hAPP (tptp.hAPP @t3802 @t291) @t2934)))))) % 6.71/6.99 (assume @p3518 (forall @t4333 (= (tptp.c_Hilbert__Choice_OEps @t2097 @t4345) (tptp.c_Hilbert__Choice_OEps @t2097 @t4344)))) % 6.71/6.99 (assume @p3519 (forall @t4187 (=> (forall @t1212 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t1211) (tptp.hAPP @t4697 @t1211))) (= @t1211 @t146))) @t4672))) % 6.71/6.99 (assume @p3520 (forall (@list @t10 @t291 @t60) (=> @t1726 (=> (= @t291 @t4725) (tptp.hBOOL (tptp.hAPP @t60 @t291)))))) % 6.71/6.99 (assume @p3521 (forall (@list @t10 @t51 @t60) (=> @t63 @t4726))) % 6.71/6.99 (assume @p3522 (forall (@list @t10 @t4727) (=> (exists @t7 (tptp.hBOOL (tptp.hAPP @t4727 @t3))) (tptp.hBOOL (tptp.hAPP @t4727 (tptp.c_Hilbert__Choice_OEps @t10 @t4727)))))) % 6.71/6.99 (assume @p3523 (forall @t4728 (=> @t1726 @t4726))) % 6.71/6.99 (assume @p3524 (forall @t4728 (= @t4726 @t1726))) % 6.71/6.99 (assume @p3525 (forall @t204 (= (tptp.c_Hilbert__Choice_OEps @t10 @t4729) @t51))) % 6.71/6.99 (assume @p3526 (forall @t204 (= (tptp.c_Hilbert__Choice_OEps @t10 @t4334) @t51))) % 6.71/6.99 (assume @p3527 (forall @t3482 (= (tptp.c_Hilbert__Choice_OEps @t2097 @t4337) @t3305))) % 6.71/6.99 (assume @p3528 (forall @t4333 (= (tptp.c_Hilbert__Choice_OEps @t2097 @t60) (tptp.c_Hilbert__Choice_OEps @t2097 @t4332)))) % 6.71/6.99 (assume @p3529 (forall (@list @t421 @t20 @t41 @t108 @t21 @t10) (=> @t109 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t2090) (tptp.hAPP @t421 @t3))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3541 @t4406) (tptp.hAPP (tptp.hAPP @t4374 @t108) @t421))))))) % 6.71/6.99 (assume @p3530 (forall @t4214 (=> (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4730 @t51)) @t2727)) (tptp.hBOOL (tptp.hAPP @t3124 @t4293)))) @t4294))) % 6.71/6.99 (assume @p3531 (forall @t4734 (=> (not (tptp.hBOOL (tptp.hAPP @t326 @t4731))) (not (forall @t2911 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4733 @t51)) @t3274)) (tptp.hBOOL (tptp.hAPP @t4732 @t4731)))))))) % 6.71/6.99 (assume @p3532 (forall (@list @t3274 @t937 @t938 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4048 (tptp.hAPP (tptp.hAPP @t4046 @t938) @t937)) @t4110)) (and @t4315 @t4314 @t4313 (forall @t7 (=> @t4312 (exists @t412 (and @t4311 @t4317)))))))) % 6.71/6.99 (assume @p3533 (forall @t4742 (=> @t4741 (=> @t4739 (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP @t4737 (tptp.hAPP @t2 @t4736))) @t344)))))) % 6.71/6.99 (assume @p3534 (forall @t4745 (=> @t4739 (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP @t4737 @t4744)) @t4743))))) % 6.71/6.99 (assume @p3535 (forall @t233 (=> @t223 (=> @t4748 (= @t4746 @t4747))))) % 6.71/6.99 (assume @p3536 (forall @t2154 (=> @t223 (=> @t4749 (=> @t4748 (= @t21 @t392)))))) % 6.71/6.99 (assume @p3537 (forall @t4753 (=> @t223 (=> (tptp.hBOOL (tptp.hAPP @t4750 @t4752)) @t4751)))) % 6.71/6.99 (assume @p3538 (forall (@list @t2 @t337 @t173 @t10) (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP @t4737 @t4752)) @t4743)))) % 6.71/6.99 (assume @p3539 (forall @t233 (=> @t223 (=> @t4748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4747) @t4746)))))) % 6.71/6.99 (assume @p3540 (forall @t233 (=> @t223 (=> @t4748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4746) @t4747)))))) % 6.71/6.99 (assume @p3541 (forall (@list @t2 @t1 @t41 @t337 @t173 @t10) (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t4754) (tptp.hAPP @t2 @t4754))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 @t2285) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t393 @t2))))))) % 6.71/6.99 (assume @p3542 (forall @t4745 (=> @t4739 (=> @t4743 (tptp.hBOOL (tptp.hAPP @t322 @t4744)))))) % 6.71/6.99 (assume @p3543 (forall (@list @t337 @t2 @t21 @t10) (=> @t223 (=> @t4749 (=> @t4748 (=> (tptp.hBOOL (tptp.hAPP @t4750 (tptp.hAPP @t2 (tptp.hAPP @t4755 @t21)))) (tptp.hBOOL (tptp.hAPP @t4750 @t21)))))))) % 6.71/6.99 (assume @p3544 (forall @t4753 (=> @t223 (=> @t4758 (=> @t4748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4756) @t4757))))))) % 6.71/6.99 (assume @p3545 (forall (@list @t337 @t2 @t10) (=> @t223 (=> @t4748 (=> @t4758 @t4751))))) % 6.71/6.99 (assume @p3546 (forall @t4745 (=> @t4739 (=> @t4738 (=> @t4763 @t4743))))) % 6.71/6.99 (assume @p3547 (forall @t4742 (=> @t4741 (=> @t4739 (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP @t4737 (tptp.hAPP @t2 (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t23 (tptp.hAPP @t4760 @t21))))) @t344)))))) % 6.71/6.99 (assume @p3548 (forall (@list @t337 @t173 @t60 @t10 @t21) (=> (= @t21 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t23 @t4765)) (=> (tptp.c_Orderings_Oorder__class_Omono @t23 @t23 @t4765) (=> @t4738 (=> (forall @t2911 (=> (tptp.hBOOL (tptp.hAPP @t4732 @t337)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t4736) @t2910)))) @t344)))))) % 6.71/6.99 (assume @p3549 (forall @t3354 (=> @t223 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t392) @t21)) (tptp.hBOOL (tptp.hAPP @t4767 @t21)))))) % 6.71/6.99 (assume @p3550 (forall (@list @t771 @t10) (=> @t223 (= (tptp.c_Inductive_Ocomplete__lattice__class_Olfp @t10 (tptp.hAPP (tptp.c_COMBK @t10 @t10) @t771)) @t771)))) % 6.71/6.99 (assume @p3551 (forall (@list @t2 @t2075 @t10) (=> @t223 (=> (= @t2075 @t4766) (=> @t4748 (= @t2075 (tptp.hAPP @t2 @t2075))))))) % 6.71/6.99 (assume @p3552 (forall @t233 (=> @t223 (=> @t4748 (= @t4766 @t4768))))) % 6.71/6.99 (assume @p3553 (forall @t233 (=> @t223 (=> @t4748 (tptp.hBOOL (tptp.hAPP @t4767 @t4768)))))) % 6.71/6.99 (assume @p3554 (forall @t233 (=> @t223 (=> @t4748 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t4768) @t4766)))))) % 6.71/6.99 (assume @p3555 (forall (@list @t60 @t2 @t10) (=> @t223 (=> @t4748 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t458 @t4766) @t60))) @t60)) (tptp.hBOOL (tptp.hAPP @t4767 @t60))))))) % 6.71/6.99 (assume @p3556 (forall (@list @t60 @t2 @t21 @t10) (=> @t223 (=> (= @t21 @t4766) (=> @t4748 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t2 (tptp.hAPP @t459 @t60))) @t60)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t21) @t60)))))))) % 6.71/6.99 (assume @p3557 (forall @t4753 (=> @t4763 (=> @t4739 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4761) @t4762)))))) % 6.71/6.99 (assume @p3558 (forall (@list @t60 @t2 @t173 @t10) (=> (tptp.hBOOL (tptp.hAPP @t322 @t4769)) (=> @t4739 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t264 @t4769) @t4393)))) @t168)) @t4396))))) % 6.71/6.99 (assume @p3559 (forall (@list @t60 @t173 @t2 @t10 @t21) (=> (= @t21 @t4769) (=> @t4739 (=> @t344 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t2 @t4458))) @t168)) @t4396)))))) % 6.71/6.99 (assume @p3560 (forall (@list @t60 @t2 @t248 @t173 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3786 @t4770)) (=> (tptp.c_Orderings_Oorder__class_Omono @t2098 @t2098 @t2) (=> (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 @t3807) (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t3345 @t4770) @t4673)))) @t3917)) (tptp.hBOOL (tptp.hAPP @t4395 @t248))))))) % 6.71/6.99 (assume @p3561 (forall (@list @t2 @t2727 @t10) (=> @t4676 (not (forall @t1398 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP @t2 @t4771)) (tptp.hAPP @t2 @t1396))) @t2727))))))) % 6.71/6.99 (assume @p3562 (forall @t4776 (and (=> @t4774 (= @t4773 @t3997)) (=> @t4775 (= @t4773 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t41 @t10 @t3817) @t53) (tptp.c_Random_Oiterate @t41 @t10 @t4772 @t2))))))) % 6.71/6.99 (assume @p3563 (forall @t4778 (= @t4777 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t4065 @t53)) (tptp.hAPP @t4063 @t53))))) % 6.71/6.99 (assume @p3564 (forall (@list @t2 @t51 @t41 @t2989 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t2989 @t10 @t41) (tptp.hAPP (tptp.c_Product__Type_OPair @t2989 @t10) @t51)) @t2) @t53))) % 6.71/6.99 (assume @p3565 (forall (@list @t2075 @t1 @t2 @t3966 @t3436 @t41 @t3425 @t2989 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t2989 @t3425 @t41) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t3436 @t3966 @t4511) @t2) @t1)) @t2075) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t3436 @t3966 @t41) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3436 @t4781 @t4779) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t3966 @t4511) (tptp.tc_fun @t4781 @t4779) @t3436) (tptp.c_Product__Type_Oscomp @t3966 @t2989 @t3425 @t41)) @t1)) @t2075))))) % 6.71/6.99 (assume @p3566 (forall (@list @t51 @t2989 @t41 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t41 @t2989 @t3487) @t51) @t3489) @t51))) % 6.71/6.99 (assume @p3567 (forall @t4778 (= @t4777 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2989 @t3425 @t10) @t1) @t53)))) % 6.71/6.99 (assume @p3568 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t4783 @t4782)) @t720))) % 6.71/6.99 (assume @p3569 (forall @t2730 (= @t4676 (forall (@list @t4784) (=> (exists @t7 @t4787) (exists @t7 (and @t4787 (forall @t1180 (=> @t4786 (not (tptp.hBOOL (tptp.hAPP @t3124 @t4784)))))))))))) % 6.71/6.99 (assume @p3570 (forall @t2730 (=> @t4676 @t4789))) % 6.71/6.99 (assume @p3571 (= tptp.c_Wellfounded_Oless__than @t4782)) % 6.71/6.99 (assume @p3572 (forall @t2730 (= @t4720 @t4790))) % 6.71/6.99 (assume @p3573 (forall @t4186 (=> @t4215 @t4791))) % 6.71/6.99 (assume @p3574 (forall @t2730 (tptp.hBOOL (tptp.hAPP @t4792 (tptp.hAPP (tptp.hAPP @t4468 @t4183) (tptp.hAPP @t4467 @t4183)))))) % 6.71/6.99 (assume @p3575 (forall @t4796 (=> @t4795 @t4794))) % 6.71/6.99 (assume @p3576 (forall @t164 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t3775) @t3775))) % 6.71/6.99 (assume @p3577 (forall @t2730 (= (tptp.hAPP @t4687 @t4788) @t4688))) % 6.71/6.99 (assume @p3578 (forall @t2730 (= (tptp.hAPP @t4644 @t4788) @t4704))) % 6.71/6.99 (assume @p3579 (forall @t2730 (= (tptp.hBOOL (tptp.hAPP @t4195 @t4788)) @t4196))) % 6.71/6.99 (assume @p3580 (forall (@list @t291 @t3274 @t248 @t173 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4212 @t3274)) (=> (tptp.hBOOL (tptp.hAPP @t4800 @t3274)) (tptp.hBOOL (tptp.hAPP @t4798 @t4797)))))) % 6.71/6.99 (assume @p3581 (forall @t4803 (=> @t4215 @t4802))) % 6.71/6.99 (assume @p3582 (forall @t4803 (=> @t4791 @t4805))) % 6.71/6.99 (assume @p3583 (forall @t4803 (=> @t4791 @t4802))) % 6.71/6.99 (assume @p3584 (forall (@list @t3975 @t2727 @t2934 @t10) (=> @t4794 (=> @t4190 (tptp.hBOOL (tptp.hAPP @t4793 (tptp.c_Transitive__Closure_Otrancl @t10 @t3975))))))) % 6.71/6.99 (assume @p3585 (forall @t2730 (= @t4788 (tptp.hAPP @t4193 (tptp.hAPP (tptp.hAPP @t4647 @t4788) @t2727))))) % 6.71/6.99 (assume @p3586 (forall @t4518 (=> @t4470 (tptp.hBOOL (tptp.hAPP @t4792 @t4469))))) % 6.71/6.99 (assume @p3587 (forall @t4191 (=> @t4190 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 (tptp.hAPP (tptp.hAPP @t4647 (tptp.hAPP (tptp.hAPP @t4287 @t4788) @t3975)) @t2727)) @t3975)) (tptp.hBOOL (tptp.hAPP @t4792 @t3975)))))) % 6.71/6.99 (assume @p3588 (forall @t4810 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4809) (tptp.hAPP @t4807 (tptp.hAPP @t4533 (tptp.hAPP @t4209 (tptp.hAPP (tptp.hAPP @t3373 (tptp.hAPP @t4282 (tptp.hAPP @t4206 (tptp.hAPP (tptp.hAPP @t4116 (tptp.hAPP @t4113 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t10 @t3772) @t3831) @t97))) @t4806)))) (tptp.hAPP (tptp.hAPP @t4116 (tptp.hAPP @t4113 @t3958)) @t4806)))))))) % 6.71/6.99 (assume @p3589 (forall @t4813 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3925) @t4295) tptp.c_fequal) @t51) @t97)) (tptp.hBOOL (tptp.hAPP @t3959 @t4812))))) % 6.71/6.99 (assume @p3590 (forall @t4796 (=> @t4795 (tptp.hBOOL (tptp.hAPP @t4793 @t4806))))) % 6.71/6.99 (assume @p3591 (forall @t4300 (tptp.hBOOL (tptp.hAPP @t4291 @t4806)))) % 6.71/6.99 (assume @p3592 (forall @t174 (tptp.hBOOL (tptp.hAPP @t4291 @t4811)))) % 6.71/6.99 (assume @p3593 (forall @t4186 (=> @t4791 @t4814))) % 6.71/6.99 (assume @p3594 (forall @t2730 (= @t4788 @t4815))) % 6.71/6.99 (assume @p3595 (forall @t2730 (= @t4788 @t4817))) % 6.71/6.99 (assume @p3596 (forall @t2730 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4812) @t4806))) % 6.71/6.99 (assume @p3597 (forall @t2730 (= (tptp.hAPP @t4807 @t4811) @t4806))) % 6.71/6.99 (assume @p3598 (forall @t4187 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4797) @t4818))) % 6.71/6.99 (assume @p3599 (forall @t4187 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t4818) @t4818))) % 6.71/6.99 (assume @p3600 (forall @t4187 (= (tptp.hAPP @t4687 @t4818) @t165))) % 6.71/6.99 (assume @p3601 (forall @t4187 (= (tptp.hAPP @t4644 @t4818) @t165))) % 6.71/6.99 (assume @p3602 (forall @t2730 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4819) @t4806))) % 6.71/6.99 (assume @p3603 (forall @t2730 (tptp.c_Relation_Orefl__on @t10 @t165 @t4806))) % 6.71/6.99 (assume @p3604 (forall @t2730 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4806) @t4806))) % 6.71/6.99 (assume @p3605 (forall @t4803 (=> @t4215 @t4822))) % 6.71/6.99 (assume @p3606 (forall @t4803 (=> @t4814 (=> @t4804 @t4820)))) % 6.71/6.99 (assume @p3607 (forall @t4803 (=> @t4814 @t4822))) % 6.71/6.99 (assume @p3608 (forall (@list @t728 @t3274 @t51 @t10) (=> (or (tptp.hBOOL (tptp.hAPP @t4824 @t4818)) (tptp.hBOOL (tptp.hAPP @t4824 @t4825))) (tptp.hBOOL (tptp.hAPP @t4824 @t4823))))) % 6.71/6.99 (assume @p3609 (forall @t4191 (=> @t4190 @t4828))) % 6.71/6.99 (assume @p3610 (forall @t3445 (=> (tptp.hBOOL (tptp.hAPP @t4703 @t728)) (=> (tptp.hBOOL (tptp.hAPP @t4702 @t4818)) (= @t4825 @t4818))))) % 6.71/6.99 (assume @p3611 (forall @t4191 (=> (tptp.hBOOL (tptp.hAPP @t4189 @t4826)) @t4828))) % 6.71/6.99 (assume @p3612 (forall @t3445 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t4830) @t4823)))) % 6.71/6.99 (assume @p3613 (forall @t4187 (= (tptp.hAPP @t4829 @t4811) @t4818))) % 6.71/6.99 (assume @p3614 (forall @t3445 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t4830) @t4823))) % 6.71/6.99 (assume @p3615 (forall @t4187 (= (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP @t4689 @t4811)) @t4818))) % 6.71/6.99 (assume @p3616 (forall (@list @t337 @t2727 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t4199 @t337)) @t337)) (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4806) @t337) @t337)))) % 6.71/6.99 (assume @p3617 (forall @t2730 (= @t4806 (tptp.hAPP (tptp.hAPP @t4192 @t4811) @t4815)))) % 6.71/6.99 (assume @p3618 (forall @t2730 (= @t4817 @t4815))) % 6.71/6.99 (assume @p3619 (forall @t4187 (= (tptp.hAPP (tptp.hAPP @t4647 @t4818) @t4818) @t4818))) % 6.71/6.99 (assume @p3620 (forall @t4721 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t4811) @t3975)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 (tptp.hAPP (tptp.hAPP @t4647 (tptp.hAPP (tptp.hAPP @t4287 @t4806) @t3975)) @t2727)) @t3975)) (tptp.hBOOL (tptp.hAPP @t4827 @t3975)))))) % 6.71/6.99 (assume @p3621 (forall @t164 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t3775) @t4811))) % 6.71/6.99 (assume @p3622 (forall @t4696 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t10 @t41) @t4811) @t3274) @t3274))) % 6.71/6.99 (assume @p3623 (forall @t4696 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t41 @t41) @t3274) (tptp.c_Relation_OId @t41)) @t3274))) % 6.71/6.99 (assume @p3624 (forall @t55 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4811) @t21) @t21))) % 6.71/6.99 (assume @p3625 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t4212 @t4811)) @t347))) % 6.71/6.99 (assume @p3626 (forall @t4833 (= @t4832 (or @t98 (and @t628 @t4831))))) % 6.71/6.99 (assume @p3627 (forall @t4803 (=> @t4215 @t4834))) % 6.71/6.99 (assume @p3628 (forall (@list @t3274 @t248 @t173 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4212 @t4818)) (or @t347 (and @t605 (tptp.hBOOL (tptp.hAPP @t4212 @t4797))))))) % 6.71/6.99 (assume @p3629 (forall @t4803 (=> @t4814 @t4805))) % 6.71/6.99 (assume @p3630 (forall @t4803 (=> @t4791 @t4834))) % 6.71/6.99 (assume @p3631 (forall @t4837 (=> @t4836 (=> (tptp.hBOOL (tptp.hAPP @t4270 @t4788)) (tptp.hBOOL (tptp.hAPP @t4835 @t4788)))))) % 6.71/6.99 (assume @p3632 (forall @t164 (= (tptp.hAPP @t4687 @t4811) @t165))) % 6.71/6.99 (assume @p3633 (forall @t164 (= (tptp.hAPP @t4644 @t4811) @t165))) % 6.71/6.99 (assume @p3634 (forall @t164 (tptp.c_Relation_Orefl__on @t10 @t165 @t4811))) % 6.71/6.99 (assume @p3635 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4070 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t3855)))) % 6.71/6.99 (assume @p3636 (forall (@list @t97 @t3274 @t51 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t4687 @t3274)))) (= @t4832 @t98)))) % 6.71/6.99 (assume @p3637 (forall (@list @t2727 @t173 @t248 @t10) (=> @t4839 (=> @t4297 @t4298)))) % 6.71/6.99 (assume @p3638 (forall (@list @t248 @t2727 @t173 @t10) (=> @t4297 (=> @t4839 @t4298)))) % 6.71/6.99 (assume @p3639 (forall @t4810 (= (tptp.c_Wellfounded_Owf @t10 @t4809) (and @t4676 @t4840)))) % 6.71/6.99 (assume @p3640 (forall @t4810 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4809) (and @t4720 @t4840)))) % 6.71/6.99 (assume @p3641 (forall @t2730 (tptp.c_Relation_Orefl__on @t10 @t165 @t4812))) % 6.71/6.99 (assume @p3642 (forall @t164 (= @t4811 (tptp.hAPP @t4533 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t3772) @t4557) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3772 @t4115 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3773 (tptp.tc_fun @t4115 @t23) @t3772) (tptp.c_COMBB @t3772 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) @t4197)))))) % 6.71/6.99 (assume @p3643 (forall @t2730 (tptp.c_Relation_Oirrefl @t10 @t4819))) % 6.71/6.99 (assume @p3644 (forall @t187 (= (tptp.hBOOL (tptp.hAPP @t4783 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t185))) % 6.71/6.99 (assume @p3645 (forall (@list @t21 @t2727 @t248 @t173 @t10) (=> @t4814 (=> @t4470 @t671)))) % 6.71/6.99 (assume @p3646 (forall @t4296 (=> (= (tptp.hAPP (tptp.hAPP @t4287 @t4843) @t4806) @t3775) (not (tptp.hBOOL (tptp.hAPP @t4841 @t4788)))))) % 6.71/6.99 (assume @p3647 (forall (@list @t151 @t220 @t2727 @t2 @t10) (=> @t4844 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP @t2 @t1463)) @t4054)) @t4806))))) % 6.71/6.99 (assume @p3648 (forall @t2730 (= @t4845 (tptp.hAPP @t4842 @t4806)))) % 6.71/6.99 (assume @p3649 (forall @t164 (= (tptp.hAPP @t4842 @t4811) @t4811))) % 6.71/6.99 (assume @p3650 (forall @t2730 (= (tptp.c_Wellfounded_Oacyclic @t10 @t4843) @t4720))) % 6.71/6.99 (assume @p3651 (forall @t4638 (=> @t4850 @t4847))) % 6.71/6.99 (assume @p3652 (forall @t4638 (=> @t4167 (tptp.hBOOL (tptp.hAPP @t4846 @t4851))))) % 6.71/6.99 (assume @p3653 (forall @t4638 (= @t4850 @t4847))) % 6.71/6.99 (assume @p3654 (forall @t4204 (= (tptp.c_Relation_Orefl__on @t10 @t21 @t4843) @t4284))) % 6.71/6.99 (assume @p3655 (forall @t55 (= (tptp.hAPP @t4842 @t4198) @t4198))) % 6.71/6.99 (assume @p3656 (forall (@list @t2 @t3274 @t41 @t10) (= (tptp.hAPP @t4842 (tptp.hAPP (tptp.hAPP @t4137 @t3274) @t2)) (tptp.hAPP (tptp.hAPP @t4137 (tptp.hAPP (tptp.c_Relation_Oconverse @t41 @t41) @t3274)) @t2)))) % 6.71/6.99 (assume @p3657 (forall @t4656 (= (tptp.hBOOL (tptp.hAPP @t2100 @t4849)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t3817) @t2727))))) % 6.71/6.99 (assume @p3658 (forall @t4853 (= (tptp.hAPP @t4848 (tptp.hAPP (tptp.hAPP @t4658 @t2727) @t3975)) (tptp.hAPP (tptp.hAPP @t3345 @t4849) @t4852)))) % 6.71/6.99 (assume @p3659 (forall @t4652 (= (tptp.hAPP @t4848 @t4851) @t2727))) % 6.71/6.99 (assume @p3660 (forall @t2730 (= (tptp.hAPP @t4182 @t4843) @t4183))) % 6.71/6.99 (assume @p3661 (forall @t4855 (= (tptp.hAPP @t4848 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2989 @t4147) @t728) @t2727)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2989 @t2098) @t728) @t4854)))) % 6.71/6.99 (assume @p3662 (forall @t4853 (= (tptp.hAPP @t4848 (tptp.hAPP (tptp.hAPP @t4148 @t2727) @t3975)) (tptp.hAPP (tptp.hAPP @t3302 @t4849) @t4852)))) % 6.71/6.99 (assume @p3663 (forall @t4856 (= (tptp.hAPP @t4848 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t41 @t2989 @t10) @t2727) @t3975)) (tptp.hAPP (tptp.hAPP @t4629 (tptp.hAPP (tptp.c_Relation_Oconverse @t2989 @t10) @t3975)) (tptp.hAPP (tptp.c_Relation_Oconverse @t41 @t2989) @t2727))))) % 6.71/6.99 (assume @p3664 (forall @t4855 (= (tptp.hAPP @t4848 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2989 @t4147) @t728) @t2727)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2989 @t2098) @t728) @t4854)))) % 6.71/6.99 (assume @p3665 (forall @t2730 (= @t4858 @t4857))) % 6.71/6.99 (assume @p3666 (forall @t2730 (=> @t4859 (tptp.c_Wellfounded_Owf @t10 @t4857)))) % 6.71/6.99 (assume @p3667 (forall @t4204 (=> @t4218 @t4861))) % 6.71/6.99 (assume @p3668 (forall @t4652 (= (tptp.hAPP @t4633 @t4851) @t4680))) % 6.71/6.99 (assume @p3669 (forall @t4656 (= @t4862 @t4651))) % 6.71/6.99 (assume @p3670 (forall @t4652 (= @t4651 @t4862))) % 6.71/6.99 (assume @p3671 (forall @t4865 (=> @t4864 @t4863))) % 6.71/6.99 (assume @p3672 (forall @t4810 (=> @t4863 @t4864))) % 6.71/6.99 (assume @p3673 (forall @t4865 (=> @t4867 @t4866))) % 6.71/6.99 (assume @p3674 (forall @t4865 (=> @t4866 @t4867))) % 6.71/6.99 (assume @p3675 (forall (@list @t20 @t21 @t2727 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4164) @t20)) (tptp.hBOOL (tptp.hAPP @t4484 (tptp.hAPP @t877 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t41 @t4849) @t371))))))) % 6.71/6.99 (assume @p3676 (forall @t4204 (=> @t4284 (tptp.hBOOL (tptp.hAPP @t4189 @t4860))))) % 6.71/6.99 (assume @p3677 (forall @t4518 (=> @t4861 (=> (= @t4688 @t21) @t4218)))) % 6.71/6.99 (assume @p3678 (forall @t2730 (=> @t4196 (=> @t4720 @t4859)))) % 6.71/6.99 (assume @p3679 (forall @t4652 (= @t4849 (tptp.hAPP @t4425 (tptp.hAPP @t3795 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4147 @t393) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4868 (tptp.tc_fun @t4147 @t393) @t10) (tptp.c_COMBC @t41 @t4147 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t41 @t3817) @t4868 @t10) (tptp.hAPP (tptp.c_COMBB @t3817 @t4517 @t41) @t4162)) @t3818))) @t2727)))))) % 6.71/6.99 (assume @p3680 (forall (@list @t20 @t2989 @t21 @t2727 @t41 @t10) (=> (tptp.c_Relation_Osingle__valued @t10 @t41 @t4849) (=> (not (= @t21 (tptp.c_Orderings_Obot__class_Obot @t3215))) (= @t4160 @t4158))))) % 6.71/6.99 (assume @p3681 (forall @t4204 (= (tptp.c_Relation_Ototal__on @t10 @t21 @t4819) @t4869))) % 6.71/6.99 (assume @p3682 (forall @t164 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4811))) % 6.71/6.99 (assume @p3683 (forall @t4693 (=> @t4692 (=> (tptp.c_Relation_Osingle__valued @t10 @t41 @t3975) @t4870)))) % 6.71/6.99 (assume @p3684 (forall (@list @t3975 @t2989 @t2727 @t41 @t10) (=> @t4870 (=> (tptp.c_Relation_Osingle__valued @t41 @t2989 @t3975) (tptp.c_Relation_Osingle__valued @t10 @t2989 @t4636))))) % 6.71/6.99 (assume @p3685 (forall @t55 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4198))) % 6.71/6.99 (assume @p3686 (forall @t2730 (tptp.c_Relation_Ototal__on @t10 @t146 @t2727))) % 6.71/6.99 (assume @p3687 (forall @t4204 (= (tptp.c_Relation_Ototal__on @t10 @t21 @t4843) @t4869))) % 6.71/6.99 (assume @p3688 (forall (@list @t513 @t97 @t51 @t2727 @t41 @t10) (=> @t4870 (=> (tptp.hBOOL (tptp.hAPP @t3307 @t2727)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 (tptp.hAPP @t3304 @t513)) @t2727)) @t1353))))) % 6.71/6.99 (assume @p3689 (forall @t4656 (= @t4870 (forall @t284 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 @t4593) @t2727)) (forall @t2911 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 @t4871) @t2727)) (= @t282 @t2910)))))))) % 6.71/6.99 (assume @p3690 (forall @t4204 (= @t4869 (forall @t7 (=> @t250 (forall @t412 (=> @t1052 (=> @t410 (or (tptp.hBOOL (tptp.hAPP @t4316 @t2727)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 @t408) @t3)) @t2727))))))))))) % 6.71/6.99 (assume @p3691 (forall @t4872 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t2727) (=> @t4836 (=> (tptp.hBOOL (tptp.hAPP @t4835 @t4806)) (or (tptp.hBOOL (tptp.hAPP @t4270 @t4806)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 @t513) @t97)) @t4806)))))))) % 6.71/6.99 (assume @p3692 (forall @t4151 (=> (tptp.c_Relation_Osingle__valued @t10 @t41 (tptp.hAPP @t4848 @t3274)) (= @t4150 @t4149)))) % 6.71/6.99 (assume @p3693 (forall @t4876 (=> @t4875 (tptp.hBOOL (tptp.hAPP @t4793 @t4874))))) % 6.71/6.99 (assume @p3694 (forall @t2730 (=> @t4790 @t4720))) % 6.71/6.99 (assume @p3695 (forall @t4878 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t3274) (tptp.c_Relation_Osingle__valued @t10 @t10 @t4877)))) % 6.71/6.99 (assume @p3696 (forall (@list @t2 @t115 @t41 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t46 @t46) @t115) (tptp.c_Fun_Ocomp @t41 @t41 @t10 @t2)) (tptp.c_Fun_Ocomp @t41 @t41 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t41 @t41) @t115) @t2))))) % 6.71/6.99 (assume @p3697 (forall (@list @t51 @t115 @t10 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t4881 @t51)) (tptp.hAPP @t4881 @t53)))) % 6.71/6.99 (assume @p3698 (forall @t2966 (= (tptp.hAPP @t4880 @t4882) (tptp.hAPP (tptp.hAPP @t4879 @t1086) @t2)))) % 6.71/6.99 (assume @p3699 (forall @t4883 (=> (tptp.c_Wellfounded_Owf @t10 @t4877) @t4672))) % 6.71/6.99 (assume @p3700 (forall @t4878 (= (tptp.hAPP @t4664 @t4877) @t4884))) % 6.71/6.99 (assume @p3701 (forall @t4187 (= (tptp.hAPP (tptp.hAPP @t4873 @t1243) @t3274) @t3274))) % 6.71/6.99 (assume @p3702 (forall (@list @t3274 @t115 @t2934 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4793 @t4877)) @t4875))) % 6.71/6.99 (assume @p3703 (forall @t4876 (= @t4875 (exists @t40 @t4885)))) % 6.71/6.99 (assume @p3704 (forall @t4883 (= @t4886 @t4884))) % 6.71/6.99 (assume @p3705 (forall (@list @t3274 @t115 @t181 @t10) (= (tptp.hAPP (tptp.hAPP @t4873 @t1372) @t3274) (tptp.hAPP (tptp.hAPP @t4647 (tptp.hAPP (tptp.hAPP @t4873 @t181) @t3274)) @t4877)))) % 6.71/6.99 (assume @p3706 (forall @t4187 (= @t4887 @t4811))) % 6.71/6.99 (assume @p3707 (forall @t4833 (=> (tptp.hBOOL (tptp.hAPP @t3959 @t4887)) @t98))) % 6.71/6.99 (assume @p3708 (forall @t4734 (tptp.hBOOL (tptp.hAPP @t4841 @t4887)))) % 6.71/6.99 (assume @p3709 (forall (@list @t115 @t513 @t3274 @t97 @t51 @t10) (=> @t4019 (=> (tptp.hBOOL (tptp.hAPP @t4270 @t4877)) @t4888)))) % 6.71/6.99 (assume @p3710 (forall (@list @t513 @t3274 @t115 @t97 @t51 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3959 @t4877)) (=> (tptp.hBOOL (tptp.hAPP @t4270 @t3274)) @t4888)))) % 6.71/6.99 (assume @p3711 (forall (@list @t2 @t115 @t10) (= (tptp.hAPP (tptp.hAPP @t4879 @t116) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t2) @t4881)))) % 6.71/6.99 (assume @p3712 (forall @t2959 (= (tptp.hAPP (tptp.hAPP @t4879 @t1372) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t4882) @t4881)))) % 6.71/6.99 (assume @p3713 (forall @t233 (= (tptp.hAPP (tptp.hAPP @t4879 @t890) @t2) @t4583))) % 6.71/6.99 (assume @p3714 (forall @t4876 (= (tptp.hBOOL (tptp.hAPP @t4793 @t4797)) (exists @t40 (and @t1759 @t4885))))) % 6.71/6.99 (assume @p3715 (forall @t4187 (= @t4818 @t4874))) % 6.71/6.99 (assume @p3716 (forall @t164 (= (tptp.c_Nat_Ofunpow @t10) @t4879))) % 6.71/6.99 (assume @p3717 (forall @t4896 (=> @t4895 (=> @t4894 (not (forall @t4893 (=> @t992 (=> @t4892 (not (tptp.hBOOL (tptp.hAPP @t4890 @t4889))))))))))) % 6.71/6.99 (assume @p3718 (forall @t4896 (=> @t4895 (=> @t4894 (not (forall @t4893 (=> @t992 (=> (tptp.hBOOL (tptp.hAPP @t4891 @t4889)) @t4897)))))))) % 6.71/6.99 (assume @p3719 (forall @t4901 (=> @t4900 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t248)) @t4898)) (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t4785 @t57)) @t1179)))) @t4899)))) % 6.71/6.99 (assume @p3720 (forall @t4901 (=> @t4900 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4042 @t3)) @t4898)) (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t4271 @t57)) @t4036)))) @t4899)))) % 6.71/6.99 (assume @p3721 (forall @t4896 (=> @t4888 (exists @t1180 (and @t4892 @t4902))))) % 6.71/6.99 (assume @p3722 (forall @t4896 (=> @t4888 (not (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t4891 @t4877)) @t4897)))))) % 6.71/6.99 (assume @p3723 (forall @t4896 (=> @t4888 (not (forall @t1180 (=> @t4892 (not @t4902))))))) % 6.71/6.99 (assume @p3724 (forall @t4833 (=> @t4831 (exists @t2911 (and (tptp.hBOOL (tptp.hAPP @t4904 @t3274)) (tptp.hBOOL (tptp.hAPP @t4903 @t4818))))))) % 6.71/6.99 (assume @p3725 (forall @t4833 (=> @t4831 (exists @t2911 (and (tptp.hBOOL (tptp.hAPP @t4904 @t4818)) (tptp.hBOOL (tptp.hAPP @t4903 @t3274))))))) % 6.71/6.99 (assume @p3726 (forall (@list @t2934 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4793 @t4811)) (not (forall @t7 (not (= @t2934 @t3833))))))) % 6.71/6.99 (assume @p3727 (forall (@list @t4905 @t60) (=> (forall @t7 (=> @t1687 (= @t168 (tptp.hBOOL (tptp.hAPP @t4905 @t3))))) (= @t4523 (tptp.hAPP @t4522 (tptp.hAPP @t3907 @t4905)))))) % 6.71/6.99 (assume @p3728 (forall (@list @t57 @t60 @t20 @t21 @t10) (=> @t28 (=> (forall @t7 (=> @t250 (=> @t168 @t4906))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4458) (tptp.hAPP @t360 @t4401))))))) % 6.71/6.99 (assume @p3729 (forall (@list @t2727 @t4907 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 @t4907) @t4849)) (not (forall @t284 (=> (= @t4907 (tptp.hAPP (tptp.hAPP @t3303 @t282) @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4162 (tptp.hAPP @t4161 @t282)) @t2727))))))))) % 6.71/6.99 (assume @p3730 (forall (@list @t3975 @t2727 @t2989 @t4908 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3306 @t4908) @t4630)) (not (forall (@list @t3 @t282 @t2910) (=> (= @t4908 @t4871) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4625 (tptp.hAPP (tptp.hAPP @t3848 @t3) @t282)) @t2727)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4621 (tptp.hAPP (tptp.hAPP @t4076 @t282) @t2910)) @t3975)))))))))) % 6.71/6.99 (assume @p3731 (forall @t4915 (= (tptp.c_Nitpick_Oplus__frac @t10 @t2453 @t2727) (tptp.hAPP (tptp.hAPP @t3679 (tptp.c_Nitpick_Oint__lcm @t4914 @t4910)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t3791 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t10)) (tptp.hAPP (tptp.hAPP @t3606 (tptp.hAPP @t3752 (tptp.hAPP (tptp.hAPP @t4913 (tptp.hAPP @t1525 (tptp.hAPP @t4912 @t2453))) (tptp.hAPP @t4911 @t4914)))) (tptp.hAPP (tptp.hAPP @t4913 (tptp.hAPP @t1525 (tptp.hAPP @t4912 @t2727))) (tptp.hAPP @t4911 @t4910))))) @t3605))))) % 6.71/6.99 (assume @p3732 (forall (@list @t1436 @t1628 @t31) (= (tptp.c_Nitpick_Otimes__frac @t31 @t1628 @t1436) (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP (tptp.hAPP @t1525 @t4919) (tptp.hAPP @t4918 @t1436))) (tptp.hAPP (tptp.hAPP @t1525 @t4917) (tptp.hAPP @t4916 @t1436)))))) % 6.71/6.99 (assume @p3733 (forall (@list @t1628 @t31 @t10) (=> (and (tptp.class_Rings_Oinverse @t10) @t1780) (= (tptp.c_Nitpick_Oof__frac @t31 @t10 @t1628) (tptp.hAPP (tptp.hAPP @t2728 (tptp.hAPP @t1837 @t4919)) (tptp.hAPP @t1837 @t4917)))))) % 6.71/6.99 (assume @p3734 (forall @t4920 (= (tptp.c_Nitpick_Oinverse__frac @t31 @t1628) (tptp.hAPP (tptp.hAPP @t4324 @t4917) @t4919)))) % 6.71/6.99 (assume @p3735 (forall @t4920 (= (tptp.c_Nitpick_Ouminus__frac @t31 @t1628) (tptp.c_Nitpick_OAbs__Frac @t31 (tptp.hAPP (tptp.hAPP @t3198 (tptp.hAPP @t1519 @t4919)) @t4917))))) % 6.71/6.99 (assume @p3736 (forall @t4915 (= (tptp.c_Nitpick_Oless__frac @t10 @t2453 @t2727) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t4921) @t1508))))) % 6.71/6.99 (assume @p3737 (forall @t4915 (= (tptp.c_Nitpick_Oless__eq__frac @t10 @t2453 @t2727) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t4921) @t1508))))) % 6.71/6.99 (assume @p3738 (forall @t164 (= @t4912 (tptp.hAPP (tptp.c_Fun_Ocomp @t3643 tptp.tc_Int_Oint @t10 @t3978) @t4922)))) % 6.71/6.99 (assume @p3739 (forall @t164 (= @t4909 (tptp.hAPP (tptp.c_Fun_Ocomp @t3643 tptp.tc_Int_Oint @t10 @t3943) @t4922)))) % 6.71/6.99 (assume @p3740 (forall (@list @t2989 @t41 @t10) (= (tptp.c_Product__Type_Ointernal__split @t10 @t41 @t2989) @t3780))) % 6.71/6.99 (assume @p3741 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t890)) % 6.71/6.99 (assume @p3742 (forall (@list @t248 @t173 @t291 @t10 @t2989 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t41 @t2989 @t10) @t291) @t3799) @t3801))) % 6.71/6.99 (assume @p3743 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t890)) % 6.71/6.99 (assume @p3744 (forall (@list @t261 @t2) (=> (forall @t40 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t36) @t218))) (tptp.hBOOL (tptp.hAPP @t2071 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4376 (tptp.hAPP (tptp.hAPP @t4708 @t178) @t2)) @t261))))))) % 6.71/6.99 (assume @p3745 (forall @t2730 (= @t4705 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4924 @t4706) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4706 tptp.c_Wellfounded_Oless__than @t4709)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4706 @t4706 @t4924) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4706 @t4924) @t4706) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4706)) @t4923)) (tptp.c_COMBI @t4706)))))) % 6.71/6.99 (assume @p3746 (forall (@list @t115 @t2727 @t4925 @t4928 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4933 @t4711)) (and (= @t4929 @t115) @t4927)))) % 6.71/6.99 (assume @p3747 (forall @t4941 (=> (not (= @t4940 @t4939)) (not @t4936)))) % 6.71/6.99 (assume @p3748 (forall @t2730 (= @t4705 (tptp.hAPP @t4962 (tptp.hAPP @t4961 (tptp.hAPP (tptp.hAPP @t4960 (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 (tptp.hAPP @t4953 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t4951 (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t4946 @t599) @t4923))) @t4923)))) (tptp.hAPP (tptp.hAPP @t4960 (tptp.hAPP @t4959 (tptp.hAPP (tptp.hAPP @t4956 @t4954) @t4952))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t4714 @t4945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4943 (tptp.tc_fun @t4714 @t4945) @t4706) (tptp.c_COMBC @t4706 @t4714 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4944 @t4943 @t4706) (tptp.hAPP (tptp.c_COMBB @t4713 @t4942 @t4706) @t4932)) @t4930))) @t4709)))))))) % 6.71/6.99 (assume @p3749 (forall @t4967 (= (tptp.hAPP @t4923 @t4966) (tptp.hAPP @t2128 (tptp.hAPP @t4382 @t4965))))) % 6.71/6.99 (assume @p3750 (forall @t4712 (= (tptp.hAPP @t4710 @t116) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4714) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t4974 @t4974) @t4713 (tptp.c_Product__Type_Omap__pair @t4974 @t4706 @t4974 @t4706 @t4973 @t4973)) (tptp.c_Wellfounded_Olex__prod @t10 @t4706 @t2727 @t4711))) (tptp.hAPP @t4962 (tptp.hAPP @t4961 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t4945 @t4945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2687 @t4958 @t4706) @t4971) (tptp.hAPP @t4954 @t4970))) @t4970))))))) % 6.71/6.99 (assume @p3751 (forall (@list @t30 @t4934 @t4935 @t31) (=> (tptp.hBOOL (tptp.hAPP @t4978 @t4939)) (not (= @t4935 @t4977))))) % 6.71/6.99 (assume @p3752 (forall @t4980 (not (= @t4935 @t4979)))) % 6.71/6.99 (assume @p3753 (forall @t4981 (not (= @t4979 @t4935)))) % 6.71/6.99 (assume @p3754 (forall (@list @t4982 @t3429 @t4983 @t173 @t10) (= (= @t4985 (tptp.hAPP (tptp.hAPP @t4972 @t3429) @t4982)) (and @t3430 (= @t4983 @t4982))))) % 6.71/6.99 (assume @p3755 (forall (@list @t4986 @t81 @t31) (= (tptp.hAPP @t4938 (tptp.hAPP @t4987 @t4986)) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t4938 @t4986)) @t936)))) % 6.71/6.99 (assume @p3756 (forall @t4995 (= (tptp.hBOOL (tptp.hAPP @t4994 @t4709)) (or (and @t4227 @t4988) (and @t98 (tptp.hBOOL (tptp.hAPP @t4933 @t4709))))))) % 6.71/6.99 (assume @p3757 (forall (@list @t4084 @t21 @t10) (= (tptp.c_List_Oset__Cons @t10 @t21 @t4084) (tptp.hAPP @t5004 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t23 tptp.tc_HOL_Obool @t4706) @t4557) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5000 @t23 @t4706) (tptp.hAPP (tptp.c_COMBB @t4945 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t4706))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t5000 @t5000) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5003 (tptp.tc_fun @t5000 @t5000) @t4706) (tptp.c_COMBS @t10 @t4945 @t4945)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5002 @t5003 @t4706) (tptp.hAPP (tptp.c_COMBB @t4955 @t4958 @t10) @t4957)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5000 @t5002 @t4706) (tptp.hAPP (tptp.c_COMBB @t4945 @t4955 @t10) @t4954)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t5001 @t5000) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4999 (tptp.tc_fun @t5001 @t5000) @t4706) (tptp.c_COMBB @t4998 @t4945 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4945 @t4999 @t4706) (tptp.c_COMBB @t4706 tptp.tc_HOL_Obool @t4706)) tptp.c_fequal))) @t4972))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4945 @t4945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2687 @t4958 @t10) @t4971) @t4280)) (tptp.hAPP @t4997 @t4084))))))))) % 6.71/6.99 (assume @p3758 (forall (@list @t4935 @t30 @t31 @t209) (and (=> @t5007 (= @t5006 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t31) @t30))) (=> (not @t5007) (= @t5006 (tptp.hAPP (tptp.c_Random_Opick @t31 @t4935) (tptp.hAPP @t2848 @t5005))))))) % 6.71/6.99 (assume @p3759 (forall @t5011 (= (tptp.c_Random_Oselect__weight @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5010) (tptp.hAPP (tptp.hAPP @t5009 @t2721) @t51)) @t4928)) @t5008))) % 6.71/6.99 (assume @p3760 (forall (@list @t2727 @t97 @t248 @t51 @t173 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t5017) @t5016)) @t5012)) (or @t4215 (and @t347 @t5015))))) % 6.71/6.99 (assume @p3761 (forall @t4865 (= (tptp.hBOOL (tptp.hAPP @t5014 @t4709)) (and @t5015 @t5020)))) % 6.71/6.99 (assume @p3762 (forall @t5024 (=> @t4836 (=> @t5023 (tptp.hBOOL (tptp.hAPP @t4994 @t5022)))))) % 6.71/6.99 (assume @p3763 (forall (@list @t4983 @t173 @t3186 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t3186 @t4985) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t3187 (tptp.c_List_Olist_Olist__size @t10 @t3186 @t4983))) @t936)))) % 6.71/6.99 (assume @p3764 (forall (@list @t4928 @t2727 @t51 @t10) (=> @t4294 (=> @t5028 (tptp.hBOOL (tptp.hAPP @t5026 @t5025)))))) % 6.71/6.99 (assume @p3765 (forall @t4191 (=> @t4190 (tptp.hBOOL (tptp.hAPP @t5030 (tptp.c_List_Olistrel1 @t10 @t3975)))))) % 6.71/6.99 (assume @p3766 (forall @t2730 (= @t5032 @t5031))) % 6.71/6.99 (assume @p3767 (forall @t2730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5029 (tptp.c_List_Olistrel1 @t10 @t4806)) @t5022)))) % 6.71/6.99 (assume @p3768 (forall @t5034 (=> @t5023 (tptp.hBOOL (tptp.hAPP @t5033 @t5022))))) % 6.71/6.99 (assume @p3769 (forall @t5034 (=> @t5035 (tptp.hBOOL (tptp.hAPP @t5033 @t5021))))) % 6.71/6.99 (assume @p3770 (forall @t4865 (=> (tptp.hBOOL (tptp.hAPP @t5014 @t5022)) @t5020))) % 6.71/6.99 (assume @p3771 (forall @t5036 (=> @t5035 @t4988))) % 6.71/6.99 (assume @p3772 (forall @t4865 (= (tptp.hBOOL (tptp.hAPP @t5014 @t5032)) (tptp.hBOOL (tptp.hAPP @t5014 @t5031))))) % 6.71/6.99 (assume @p3773 (forall @t4995 (= (tptp.hBOOL (tptp.hAPP @t4994 @t5021)) (or (and @t4227 @t5037) (and @t98 @t5035))))) % 6.71/6.99 (assume @p3774 (forall (@list @t4928 @t2727 @t97 @t51 @t10) (=> @t4227 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t4993 (tptp.hAPP @t4989 @t4928))) @t5021))))) % 6.71/6.99 (assume @p3775 (forall (@list @t4928 @t51 @t2727 @t10) (= (tptp.hAPP @t5041 (tptp.hAPP (tptp.hAPP @t5039 @t4992) @t5038)) (tptp.c_List_Oset__Cons @t10 @t4211 (tptp.hAPP @t5041 (tptp.hAPP (tptp.hAPP @t5039 @t4928) @t5038)))))) % 6.71/6.99 (assume @p3776 (forall @t4813 (=> (forall @t3808 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t5043 @t893)) @t2727)) (= @t1231 @t893) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 @t893) @t1231)) @t2727)))) (or @t5015 @t98 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5042 @t51)) @t5012)))))) % 6.71/6.99 (assume @p3777 (forall @t5045 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t4931 @t4928)) @t5044)))) % 6.71/6.99 (assume @p3778 (forall @t4191 (=> @t4190 (tptp.hBOOL (tptp.hAPP @t5046 (tptp.c_List_Olistrel @t10 @t3975)))))) % 6.71/6.99 (assume @p3779 (forall @t2730 (tptp.hBOOL (tptp.hAPP @t5046 @t5022)))) % 6.71/6.99 (assume @p3780 (forall @t5036 (=> @t5047 @t4988))) % 6.71/6.99 (assume @p3781 (forall (@list @t5048 @t2727 @t4925 @t4928 @t10) (=> @t5050 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5049 @t5048)) @t5044)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t4931 @t5048)) @t5044)))))) % 6.71/6.99 (assume @p3782 (forall @t2730 (= @t5044 @t5022))) % 6.71/6.99 (assume @p3783 (forall @t5036 (=> @t5035 @t5050))) % 6.71/6.99 (assume @p3784 (forall @t4686 (=> (tptp.hBOOL (tptp.hAPP @t4189 @t4154)) (=> (tptp.c_Relation_Orefl__on @t10 @t165 @t4154) (tptp.hBOOL (tptp.hAPP @t5030 (tptp.c_List_Olistrel @t10 @t4154))))))) % 6.71/6.99 (assume @p3785 (forall @t5036 (=> @t5047 @t5023))) % 6.71/6.99 (assume @p3786 (forall @t5024 (=> @t4227 (=> @t5047 (tptp.hBOOL (tptp.hAPP @t4994 @t5040)))))) % 6.71/6.99 (assume @p3787 (forall (@list @t4111 @t51 @t2727 @t10) (= (tptp.c_List_Olistrelp @t10 @t4295 @t51 @t4111) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5013 @t4111)) @t5040))))) % 6.71/6.99 (assume @p3788 (forall (@list @t2727 @t4928 @t4925 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t4990) @t4928)) @t5040)) (not (forall (@list @t282 @t5051) (=> (= @t4928 (tptp.hAPP @t5052 @t5051)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t4269 @t282)) @t2727)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5049 @t5051)) @t5040)))))))))) % 6.71/6.99 (assume @p3789 (forall (@list @t4925 @t4928 @t10 @t97 @t51 @t2727) (=> @t5053 (=> (tptp.c_List_Olistrelp @t10 @t2727 @t4928 @t4925) (tptp.c_List_Olistrelp @t10 @t2727 @t4992 @t4990))))) % 6.71/6.99 (assume @p3790 (forall (@list @t1014 @t937 @t1015 @t938 @t2727 @t10) (= (tptp.c_List_Olistrelp @t10 @t2727 (tptp.hAPP @t5056 @t1015) (tptp.hAPP @t5055 @t1014)) (and @t5054 (tptp.c_List_Olistrelp @t10 @t2727 @t1015 @t1014))))) % 6.71/6.99 (assume @p3791 (forall (@list @t2727 @t4925 @t97 @t4928 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t4931 @t4990)) @t5040)) (not (forall (@list @t3 @t5057) (=> (= @t4928 @t5059) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t97)) @t2727)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t5057) @t4925)) @t5040)))))))))) % 6.71/6.99 (assume @p3792 (forall @t4518 (=> @t4470 (tptp.hBOOL (tptp.hAPP @t5046 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4706 @t4706) @t5060) (tptp.hAPP (tptp.c_COMBK @t4945 @t4706) @t5060))))))) % 6.71/6.99 (assume @p3793 (forall @t164 (= (tptp.c_List_Olists @t10 @t165) @t5061))) % 6.71/6.99 (assume @p3794 (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5063 @t5060) @t5062))))) % 6.71/6.99 (assume @p3795 (forall @t4204 (=> @t4218 (tptp.c_Equiv__Relations_Oequiv @t4706 @t5060 @t5040)))) % 6.71/6.99 (assume @p3796 (forall @t4204 (=> @t4284 (tptp.c_Relation_Orefl__on @t4706 @t5060 @t5040)))) % 6.71/6.99 (assume @p3797 (forall (@list @t21 @t4928 @t51 @t10) (= (tptp.hBOOL (tptp.hAPP @t5026 @t5060)) (and @t351 @t5064)))) % 6.71/6.99 (assume @p3798 (forall @t5045 (=> @t5065 @t5028))) % 6.71/6.99 (assume @p3799 (forall @t5045 (=> @t5028 @t5065))) % 6.71/6.99 (assume @p3800 (forall @t5036 (= @t5047 (and @t4988 (forall @t40 (=> @t5072 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t5070 (tptp.hAPP @t5067 @t36))) @t2727)))))))) % 6.71/6.99 (assume @p3801 (forall (@list @t97 @t2727 @t10) (=> @t4181 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5042 @t97)) @t5012)))))) % 6.71/6.99 (assume @p3802 (forall @t164 (not (tptp.hBOOL (tptp.hAPP @t5073 @t5061))))) % 6.71/6.99 (assume @p3803 (forall @t5076 (= @t5037 (and @t4988 (forall @t905 (=> @t5075 (= @t5074 (tptp.hAPP @t5067 @t898)))))))) % 6.71/6.99 (assume @p3804 (forall @t4981 (= (tptp.hAPP @t5078 @t890) @t30))) % 6.71/6.99 (assume @p3805 (forall (@list @t176 @t4935 @t30 @t31) (= (tptp.hAPP @t5078 @t177) @t5080))) % 6.71/6.99 (assume @p3806 (forall (@list @t115 @t4928 @t51 @t10) (= (tptp.hAPP (tptp.hAPP @t5066 @t4992) @t115) (tptp.c_Nat_Onat_Onat__case @t10 @t51 @t5068 @t115)))) % 6.71/6.99 (assume @p3807 (forall @t5082 (and (=> @t968 (= @t5081 @t30)) (=> @t969 (= @t5081 (tptp.hAPP @t5079 @t1244)))))) % 6.71/6.99 (assume @p3808 (forall @t5085 (and (=> @t2228 (= @t5083 @t30)) (=> @t5084 (= @t5083 (tptp.hAPP @t5079 @t1863)))))) % 6.71/6.99 (assume @p3809 (forall @t4865 (= @t5015 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5019) @t5018)) (= (tptp.hAPP (tptp.hAPP @t5086 @t5019) @t97) @t51)) (exists @t905 (and (tptp.hBOOL (tptp.hAPP @t903 (tptp.hAPP (tptp.hAPP @t3064 @t5019) @t5018))) (= (tptp.hAPP @t5087 @t51) (tptp.hAPP @t5087 @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 (tptp.hAPP (tptp.hAPP @t5066 @t51) @t898)) (tptp.hAPP (tptp.hAPP @t5066 @t97) @t898))) @t2727)))))))) % 6.71/6.99 (assume @p3810 (forall @t4967 (= @t5095 (tptp.hAPP @t4392 (tptp.hAPP @t5093 (tptp.hAPP @t5091 @t4965)))))) % 6.71/6.99 (assume @p3811 (forall @t5097 (tptp.hBOOL (tptp.hAPP @t2063 @t5096)))) % 6.71/6.99 (assume @p3812 (forall @t5100 (tptp.hBOOL (tptp.hAPP @t5099 @t5098)))) % 6.71/6.99 (assume @p3813 (forall @t5105 (=> @t5104 (= @t5103 @t4935)))) % 6.71/6.99 (assume @p3814 (forall @t5109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t5108) @t5096)))) % 6.71/6.99 (assume @p3815 (forall (@list @t4928 @t10 @t115 @t181) (=> @t185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t5094 (tptp.hAPP (tptp.hAPP @t5086 @t181) @t4928))) @t5108))))) % 6.71/6.99 (assume @p3816 (forall @t4967 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t5095) @t5096)))) % 6.71/6.99 (assume @p3817 (forall (@list @t4935 @t31 @t176 @t209) (=> @t5111 (= (tptp.hAPP (tptp.hAPP @t5077 @t5103) @t209) @t5110)))) % 6.71/6.99 (assume @p3818 (forall @t5115 (=> @t5114 (not @t5112)))) % 6.71/6.99 (assume @p3819 (forall @t5116 (=> (tptp.hBOOL (tptp.hAPP @t326 @t5108)) @t5113))) % 6.71/6.99 (assume @p3820 (forall @t5115 (=> @t5112 @t5113))) % 6.71/6.99 (assume @p3821 (forall (@list @t4928 @t51 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP @t349 @t5098)) (or @t638 @t5117)))) % 6.71/6.99 (assume @p3822 (forall @t5119 (= (tptp.hAPP @t5118 @t4979) (tptp.hAPP @t4976 @t5103)))) % 6.71/6.99 (assume @p3823 (forall @t5121 (= (tptp.hAPP @t4938 @t5103) (tptp.hAPP @t5120 @t176)))) % 6.71/6.99 (assume @p3824 (forall @t5123 (= (tptp.hAPP @t5102 @t5122) (tptp.hAPP (tptp.hAPP @t5101 (tptp.hAPP @t3065 @t193)) @t4935)))) % 6.71/6.99 (assume @p3825 (forall @t5011 (= @t5098 @t5124))) % 6.71/6.99 (assume @p3826 (forall (@list @t115 @t227 @t10) (= (tptp.c_List_Osublist @t10 @t227 @t977) (tptp.hAPP @t5106 @t227)))) % 6.71/6.99 (assume @p3827 (forall @t5097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5125) @t4929)))) % 6.71/6.99 (assume @p3828 (forall @t5132 (= @t5131 @t5129))) % 6.71/6.99 (assume @p3829 (forall @t5135 (=> @t5113 (=> (tptp.hBOOL (tptp.hAPP @t5134 @t53)) (tptp.hBOOL (tptp.hAPP @t5134 @t5133)))))) % 6.71/6.99 (assume @p3830 (forall @t5135 (=> @t5113 (=> (tptp.hBOOL (tptp.hAPP @t1515 @t53)) (tptp.hBOOL (tptp.hAPP @t1515 @t5133)))))) % 6.71/6.99 (assume @p3831 (forall @t5136 (= @t5064 (forall @t7 (=> @t5130 @t250))))) % 6.71/6.99 (assume @p3832 (forall @t5011 (=> @t5113 @t5137))) % 6.71/6.99 (assume @p3833 (forall @t5011 (= @t5113 (exists @t905 (and @t5075 (= @t5074 @t51)))))) % 6.71/6.99 (assume @p3834 (forall (@list @t4928 @t10 @t115) (=> @t5139 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t5138) @t5096))))) % 6.71/6.99 (assume @p3835 (forall @t55 (= @t5060 (tptp.hAPP @t5004 @t5143)))) % 6.71/6.99 (assume @p3836 (forall @t5097 (= @t5096 (tptp.hAPP @t4392 (tptp.hAPP @t5093 (tptp.hAPP @t5091 @t4963)))))) % 6.71/6.99 (assume @p3837 (forall @t5146 (=> @t2064 (tptp.hBOOL (tptp.hAPP @t5073 (tptp.hAPP @t5004 (tptp.hAPP @t5145 @t5144))))))) % 6.71/6.99 (assume @p3838 (forall @t5146 (=> @t2064 (tptp.hBOOL (tptp.hAPP @t5073 (tptp.hAPP @t5004 (tptp.hAPP @t5145 (tptp.hAPP (tptp.hAPP @t4968 (tptp.hAPP (tptp.hAPP @t4946 @t178) @t4923)) @t115)))))))) % 6.71/6.99 (assume @p3839 (forall @t5036 (= @t5047 (and @t4988 (forall @t7 (=> @t5149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4209 @t4295) @t3)))))))) % 6.71/6.99 (assume @p3840 (forall @t5162 (= @t5161 (tptp.hAPP @t4425 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 tptp.tc_HOL_Obool @t2097) @t5092) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2097 @t757 @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5090 @t3980 @t2097) @t4381) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t757 @t5090 @t2097) @t4380) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2097 @t5156 @t757) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2098 (tptp.tc_fun @t5156 @t757) @t2097) (tptp.c_COMBB @t2097 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t41 @t2097) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3310 tptp.tc_Nat_Onat) @t3303) @t5068)) @t5155))))) (tptp.hAPP @t4377 @t5153))))))) % 6.71/6.99 (assume @p3841 (forall @t5167 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5166) @t176) @t5165) (tptp.hAPP (tptp.hAPP @t5163 @t5103) (tptp.hAPP (tptp.hAPP @t5086 @t176) @t4934))))) % 6.71/6.99 (assume @p3842 (forall (@list @t4934 @t4935 @t10 @t31) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5166)) @t5165) (tptp.hAPP @t5120 @t5168)))) % 6.71/6.99 (assume @p3843 (forall (@list @t4934 @t64 @t4935 @t30 @t10 @t31) (= (tptp.hAPP (tptp.hAPP @t5163 @t4979) (tptp.hAPP (tptp.hAPP @t4972 @t64) @t4934)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5166) @t3993) @t5165)))) % 6.71/6.99 (assume @p3844 (forall @t5076 (= @t5037 (and @t4988 (forall @t7 (=> @t5149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4209 tptp.c_fequal) @t3)))))))) % 6.71/6.99 (assume @p3845 (forall @t5173 (=> @t5172 (not (=> @t5113 (not @t5171)))))) % 6.71/6.99 (assume @p3846 (forall @t5173 (=> @t5172 @t5171))) % 6.71/6.99 (assume @p3847 (forall @t5173 (=> @t5172 @t5113))) % 6.71/6.99 (assume @p3848 (forall (@list @t4928 @t248 @t173 @t10) (= (tptp.hBOOL (tptp.hAPP @t4212 (tptp.hAPP @t5148 @t5175))) (and @t5174 @t347)))) % 6.71/6.99 (assume @p3849 (forall (@list @t4934 @t10 @t4935 @t31 @t209) (=> @t5176 (=> (tptp.hBOOL (tptp.hAPP @t709 @t5168)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5166) @t5165) @t209) (tptp.hAPP (tptp.hAPP @t3804 @t5110) (tptp.hAPP (tptp.hAPP @t5066 @t4934) @t209))))))) % 6.71/6.99 (assume @p3850 (forall @t983 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t220 @t902) (tptp.hAPP @t5178 (tptp.c_List_Oupto @t1586 @t5177))))) % 6.71/6.99 (assume @p3851 (forall @t5097 (=> @t2924 (= @t5180 (tptp.hAPP (tptp.hAPP @t2935 @t5068) (tptp.hAPP @t999 @t4929)))))) % 6.71/6.99 (assume @p3852 (forall @t983 (= @t1587 @t5182))) % 6.71/6.99 (assume @p3853 (forall @t983 (= @t5182 @t1587))) % 6.71/6.99 (assume @p3854 (forall (@list @t5183) (= (= (tptp.hAPP @t5187 @t5183) @t890) @t5186))) % 6.71/6.99 (assume @p3855 (forall (@list @t5188 @t208) (=> @t5194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5191) @t5189))))) % 6.71/6.99 (assume @p3856 (forall @t4981 (=> @t1339 (= (tptp.hAPP @t5195 @t4979) (tptp.hAPP @t1450 @t5196))))) % 6.71/6.99 (assume @p3857 (forall @t983 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t220) @t902) (tptp.hAPP @t5178 (tptp.c_List_Oupto @t220 @t5177))))) % 6.71/6.99 (assume @p3858 (forall @t983 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t220 @t902) (tptp.hAPP @t5178 @t5197)))) % 6.71/6.99 (assume @p3859 (forall @t2614 (= (tptp.c_List_Onat__list @t227) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5178 @t227))))) % 6.71/6.99 (assume @p3860 (forall (@list @t1 @t2 @t4928 @t10) (=> (forall @t7 (=> @t5130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5133) (tptp.c_List_Olist_Olist__size @t10 @t1 @t4928)))))) % 6.71/6.99 (assume @p3861 (forall (@list @t176 @t5188 @t208) (=> @t5194 (= (tptp.hAPP @t5187 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5188) @t208) @t176)) (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP (tptp.hAPP @t1248 @t5189) @t176)) @t5191))))) % 6.71/6.99 (assume @p3862 (forall @t5200 (=> (tptp.hBOOL (tptp.hAPP @t205 @t4940)) (= (tptp.c_List_Obutlast @t31 @t5103) @t5199)))) % 6.71/6.99 (assume @p3863 (forall @t5204 (=> (tptp.hBOOL (tptp.hAPP @t4978 @t209)) (= @t5203 @t4935)))) % 6.71/6.99 (assume @p3864 (forall (@list @t30 @t4935 @t31 @t211 @t209) @t5209)) % 6.71/6.99 (assume @p3865 (forall @t5210 (= (tptp.hAPP @t5202 @t5110) @t4935))) % 6.71/6.99 (assume @p3866 (forall (@list @t30 @t4935 @t31 @t208) (and (=> @t5217 (= @t5214 @t5211)) (=> @t5218 (= @t5214 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t31 @t5211) @t208) @t30)))))) % 6.71/6.99 (assume @p3867 (forall @t5204 (= (tptp.hAPP @t4938 @t5203) @t4940))) % 6.71/6.99 (assume @p3868 (forall (@list @t64 @t4934 @t30 @t209 @t4935 @t10 @t31) (= (tptp.hAPP (tptp.hAPP @t5163 @t5203) (tptp.hAPP @t5220 @t64)) (tptp.hAPP @t5219 @t3993)))) % 6.71/6.99 (assume @p3869 (forall (@list @t5221 @t209 @t4934 @t4935 @t10 @t31) (= (tptp.hAPP @t5219 @t5221) (tptp.hAPP (tptp.hAPP @t5163 (tptp.hAPP @t5202 (tptp.hAPP @t3988 @t5221))) (tptp.hAPP @t5220 (tptp.hAPP @t3986 @t5221)))))) % 6.71/6.99 (assume @p3870 (forall (@list @t64 @t30 @t209 @t4935 @t31) (= (tptp.hAPP (tptp.hAPP @t5223 @t209) @t64) @t5222))) % 6.71/6.99 (assume @p3871 (forall (@list @t5224 @t30 @t4935 @t31 @t5225 @t209) (=> (not (= @t209 @t5225)) (= (tptp.hAPP (tptp.hAPP @t5223 @t5225) @t5224) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t31 (tptp.hAPP (tptp.hAPP @t5201 @t5225) @t5224)) @t209) @t30))))) % 6.71/6.99 (assume @p3872 (forall (@list @t64 @t4935 @t30 @t31) (= (tptp.hAPP (tptp.hAPP @t5228 @t890) @t64) @t5227))) % 6.71/6.99 (assume @p3873 (forall (@list @t64 @t209 @t4935 @t30 @t31) (= (tptp.hAPP (tptp.hAPP @t5228 @t706) @t64) (tptp.hAPP @t4976 @t5222)))) % 6.71/6.99 (assume @p3874 (forall (@list @t1961 @t220 @t4928 @t51 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t4992) @t220) @t1961) (tptp.c_Nat_Onat_Onat__case @t4706 (tptp.hAPP (tptp.hAPP @t4972 @t1961) @t4928) (tptp.hAPP @t5230 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t4706) @t5229) @t1961)) @t220)))) % 6.71/6.99 (assume @p3875 (forall @t5011 (=> @t5232 @t5113))) % 6.71/6.99 (assume @p3876 (forall (@list @t220 @t51 @t21 @t4928 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5099 @t21)) (=> @t351 (tptp.hBOOL (tptp.hAPP @t5235 @t21)))))) % 6.71/6.99 (assume @p3877 (forall (@list @t51 @t220 @t4928 @t10) (tptp.hBOOL (tptp.hAPP @t5235 @t5124)))) % 6.71/6.99 (assume @p3878 (forall (@list @t30 @t211 @t4935 @t31 @t209) (=> @t5176 (and (=> @t5208 (= @t5207 @t30)) @t5209)))) % 6.71/6.99 (assume @p3879 (forall (@list @t51 @t4928 @t10 @t220) (=> @t5237 (= (= @t5234 @t4928) (= @t5236 @t51))))) % 6.71/6.99 (assume @p3880 (forall (@list @t30 @t4935 @t31 @t209) (=> @t5176 (= (tptp.hAPP @t5206 @t209) @t30)))) % 6.71/6.99 (assume @p3881 (forall @t5200 (=> @t5238 (= (tptp.hAPP @t5102 @t5211) @t5103)))) % 6.71/6.99 (assume @p3882 (forall @t5239 (= (tptp.hAPP @t4938 @t5211) @t5216))) % 6.71/6.99 (assume @p3883 (forall (@list @t51 @t4928 @t10 @t115) (=> @t5139 (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 (tptp.hAPP (tptp.hAPP @t5229 @t115) @t51))))))) % 6.71/6.99 (assume @p3884 (forall @t5239 (= @t5211 (tptp.hAPP (tptp.hAPP @t5101 @t5216) @t4935)))) % 6.71/6.99 (assume @p3885 (forall @t5036 (= @t5035 (exists (@list @t282 @t36) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t5070 @t282)) @t2727)) @t5072 (= @t4925 (tptp.hAPP (tptp.hAPP @t5229 @t36) @t282))))))) % 6.71/6.99 (assume @p3886 (forall (@list @t220 @t173 @t4928 @t10) (=> @t5242 (=> (not (tptp.hBOOL (tptp.hAPP @t322 (tptp.hAPP @t5241 (tptp.hAPP (tptp.hAPP @t594 @t5236) @t146))))) (tptp.hBOOL (tptp.hAPP @t5240 (tptp.hAPP @t5233 @t173))))))) % 6.71/6.99 (assume @p3887 (forall @t1379 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5243)))) % 6.71/6.99 (assume @p3888 (forall @t5210 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5245))))) % 6.71/6.99 (assume @p3889 (forall @t4967 (=> @t5242 (tptp.hBOOL (tptp.hAPP @t5240 @t4966))))) % 6.71/6.99 (assume @p3890 (forall @t5249 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5248 @t5165))))) % 6.71/6.99 (assume @p3891 (forall (@list @t4935 @t10 @t4934 @t31) (=> (tptp.hBOOL (tptp.hAPP @t5246 @t4934)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod @t10 @t31)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t31) @t4935) @t4934)))))) % 6.71/6.99 (assume @p3892 (forall @t5011 (= (tptp.hBOOL (tptp.hAPP @t5240 @t4992)) @t5250))) % 6.71/6.99 (assume @p3893 (forall @t5097 (=> @t5242 @t5251))) % 6.71/6.99 (assume @p3894 (forall @t5097 (=> @t5251 @t5242))) % 6.71/6.99 (assume @p3895 (forall @t5097 (= @t5242 (forall @t905 (=> @t5075 (forall @t995 (=> @t5253 (=> (not (= @t898 @t993)) (not (= @t5074 @t5252)))))))))) % 6.71/6.99 (assume @p3896 (forall @t5256 (=> @t5242 (=> @t5237 (=> (tptp.hBOOL (tptp.hAPP @t5255 @t4929)) (= (= @t5236 @t5254) (= @t220 @t902))))))) % 6.71/6.99 (assume @p3897 (forall @t5097 (=> @t2924 (=> @t5242 (= @t5180 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t10) @t3387) @t5096)))))) % 6.71/6.99 (assume @p3898 (forall @t55 (and (=> @t2064 (= @t5257 (tptp.hAPP @t4923 @t5258))) (=> @t2146 (= @t5257 @t890))))) % 6.71/6.99 (assume @p3899 (forall (@list @t4934 @t4935 @t31 @t208) (=> (tptp.hBOOL (tptp.hAPP @t955 @t4940)) (=> (tptp.hBOOL (tptp.hAPP @t955 @t4939)) (=> (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t903 @t208)) (= @t5261 (tptp.hAPP @t5260 @t898)))) (= (tptp.hAPP @t5259 @t4935) (tptp.hAPP @t5259 @t4934))))))) % 6.71/6.99 (assume @p3900 (forall @t5100 (=> @t5242 (= @t5264 @t5262)))) % 6.71/6.99 (assume @p3901 (forall @t5085 (and (=> @t2228 (= @t5265 @t5266)) (=> @t5084 (= @t5265 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t5101 @t1863) @t4935))))))) % 6.71/6.99 (assume @p3902 (forall @t55 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t5267) @t5060)))) % 6.71/6.99 (assume @p3903 (forall @t5045 (=> (tptp.hBOOL (tptp.hAPP @t5269 @t5040)) @t5268))) % 6.71/6.99 (assume @p3904 (forall @t5045 (=> (tptp.hBOOL (tptp.hAPP @t5271 @t5040)) @t5268))) % 6.71/6.99 (assume @p3905 (forall @t5274 (=> @t5273 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5211)))))) % 6.71/6.99 (assume @p3906 (forall @t5276 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5275))))) % 6.71/6.99 (assume @p3907 (forall @t471 (tptp.hBOOL (tptp.hAPP @t5246 @t5266)))) % 6.71/6.99 (assume @p3908 (forall @t471 (= (tptp.c_List_Obutlast @t31 @t5266) @t5266))) % 6.71/6.99 (assume @p3909 (forall @t4980 (and (=> @t5272 (= @t5277 @t5266)) (=> @t5273 (= @t5277 (tptp.hAPP @t4976 @t5211)))))) % 6.71/6.99 (assume @p3910 (forall @t5280 (not (= @t5266 @t5279)))) % 6.71/6.99 (assume @p3911 (forall @t5280 (not (= @t5279 @t5266)))) % 6.71/6.99 (assume @p3912 (forall @t5282 (and (=> @t76 (= @t5281 @t4935)) (=> @t641 (= @t5281 (tptp.hAPP @t5226 @t5275)))))) % 6.71/6.99 (assume @p3913 (forall @t1382 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t211) @t209)) @t5284))) % 6.71/6.99 (assume @p3914 (forall @t5239 (= (tptp.hAPP (tptp.hAPP @t5101 @t890) @t4935) @t5266))) % 6.71/6.99 (assume @p3915 (forall @t5109 (= (= @t5107 @t5267) (or @t971 @t5268)))) % 6.71/6.99 (assume @p3916 (forall @t1452 (= (tptp.hAPP @t5102 @t5266) @t5266))) % 6.71/6.99 (assume @p3917 (forall @t5285 (= (tptp.c_List_Olist_Olist__size @t10 @t3186 @t5267) @t890))) % 6.71/6.99 (assume @p3918 (forall @t55 (= (tptp.c_List_Osublist @t10 @t5267 @t21) @t5267))) % 6.71/6.99 (assume @p3919 (forall @t5287 (= (tptp.c_List_Oremove1 @t31 @t30 (tptp.c_List_Oremove1 @t31 @t64 @t5286)) (tptp.c_List_Oremove1 @t31 @t64 (tptp.c_List_Oremove1 @t31 @t30 @t5286))))) % 6.71/6.99 (assume @p3920 (forall @t35 (= (tptp.c_List_Oremove1 @t31 @t30 @t5266) @t5266))) % 6.71/6.99 (assume @p3921 (forall @t2730 (tptp.c_List_Olistrelp @t10 @t2727 @t5267 @t5267))) % 6.71/6.99 (assume @p3922 (forall (@list @t4934 @t10 @t31) (= (tptp.hAPP (tptp.hAPP @t5163 @t5266) @t4934) @t5288))) % 6.71/6.99 (assume @p3923 (forall (@list @t4935 @t10 @t31) (= (tptp.hAPP @t5164 @t5267) @t5288))) % 6.71/6.99 (assume @p3924 (forall @t471 (=> @t1339 (= (tptp.hAPP @t5195 @t5266) @t960)))) % 6.71/6.99 (assume @p3925 (forall @t471 (= (tptp.hAPP @t4938 @t5266) @t890))) % 6.71/6.99 (assume @p3926 (forall @t5097 (= (= @t4929 @t890) @t5268))) % 6.71/6.99 (assume @p3927 (forall @t5097 (= (= @t5096 @t146) @t5268))) % 6.71/6.99 (assume @p3928 (forall @t5097 (= (= @t146 @t5096) @t5268))) % 6.71/6.99 (assume @p3929 (forall @t164 (= (tptp.hAPP @t5094 @t5267) @t146))) % 6.71/6.99 (assume @p3930 (forall (@list @t64 @t209 @t31) (= (tptp.hAPP @t5289 @t64) @t5266))) % 6.71/6.99 (assume @p3931 (forall (@list @t1411 @t209 @t31) (= (tptp.hAPP @t5289 @t1411) @t5266))) % 6.71/6.99 (assume @p3932 (forall (@list @t51 @t151 @t4928 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5229 @t151) @t51) @t5267) @t5268))) % 6.71/6.99 (assume @p3933 (forall @t5011 (=> @t5114 (= @t5263 @t4928)))) % 6.71/6.99 (assume @p3934 (forall @t5290 (=> @t5114 (not (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 (tptp.c_List_Oremove1 @t10 @t97 @t4928)))))))) % 6.71/6.99 (assume @p3935 (forall (@list @t4928 @t10 @t248 @t173) (=> @t605 (= (tptp.hBOOL (tptp.hAPP @t322 (tptp.hAPP @t5094 (tptp.c_List_Oremove1 @t10 @t248 @t4928)))) @t5174)))) % 6.71/6.99 (assume @p3936 (forall @t5097 (= (tptp.c_List_Osublist @t10 @t4928 @t758) @t5267))) % 6.71/6.99 (assume @p3937 (forall @t5011 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t5264) @t5096)))) % 6.71/6.99 (assume @p3938 (forall @t5097 (= @t5137 @t5291))) % 6.71/6.99 (assume @p3939 (forall @t4981 (= (tptp.hAPP (tptp.hAPP @t5101 @t1243) @t4979) @t5292))) % 6.71/6.99 (assume @p3940 (forall @t5045 (not (tptp.hBOOL (tptp.hAPP @t5269 @t5021))))) % 6.71/6.99 (assume @p3941 (forall @t5045 (not (tptp.hBOOL (tptp.hAPP @t5271 @t5021))))) % 6.71/6.99 (assume @p3942 (forall @t2730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 @t5293) @t5040)))) % 6.71/6.99 (assume @p3943 (forall @t4214 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5013 @t5267)) @t5012))))) % 6.71/6.99 (assume @p3944 (forall @t5045 (not (tptp.hBOOL (tptp.hAPP @t5269 @t4709))))) % 6.71/6.99 (assume @p3945 (forall (@list @t2727 @t4925 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5270 @t4925)) @t4709))))) % 6.71/6.99 (assume @p3946 (forall @t5295 (= (tptp.hAPP @t5106 @t4992) (tptp.c_Nat_Onat_Onat__case @t4706 @t5267 (tptp.hAPP @t5230 (tptp.hAPP (tptp.hAPP @t5294 @t5086) @t4928)) @t115)))) % 6.71/6.99 (assume @p3947 (forall @t1379 (and (=> @t1661 (= @t5243 (tptp.hAPP (tptp.hAPP @t5297 @t209) (tptp.c_List_Oupto @t5296 @t211)))) (=> (not @t1661) @t5284)))) % 6.71/6.99 (assume @p3948 (forall (@list @t51 @t10 @t21) (and (=> @t5301 (= @t5299 @t5298)) (=> (not @t5301) (= @t5299 @t5267))))) % 6.71/6.99 (assume @p3949 (forall @t164 (= (tptp.c_List_Olists @t10 @t146) @t5302))) % 6.71/6.99 (assume @p3950 (forall @t5082 (and (=> @t968 (= @t5303 @t5266)) (=> @t969 (= @t5303 (tptp.hAPP @t4976 @t5199)))))) % 6.71/6.99 (assume @p3951 (forall @t197 (and (=> @t5306 (= @t5305 (tptp.hAPP (tptp.hAPP @t5297 @t5304) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t1549 @t5304) @t1538) @t2688)))) (=> (not @t5306) (= @t5305 @t5283))))) % 6.71/6.99 (assume @p3952 (forall @t2730 (= (tptp.hAPP @t5041 @t5302) @t5302))) % 6.71/6.99 (assume @p3953 (forall @t55 (= (tptp.c_List_Oset__Cons @t10 @t21 @t5302) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t4706 @t5309) @t21)))) % 6.71/6.99 (assume @p3954 (forall @t5011 (and (=> @t5113 (= @t5310 (tptp.hAPP (tptp.hAPP @t911 @t4929) @t1243))) (=> @t5114 (= @t5310 @t4929))))) % 6.71/6.99 (assume @p3955 (forall @t983 (=> (tptp.hBOOL (tptp.hAPP @t5312 (tptp.hAPP (tptp.hAPP @t3198 @t220) @t902))) (and (=> @t5311 (= @t5181 (tptp.hAPP (tptp.hAPP @t5297 @t220) @t5197))) (=> (not @t5311) (= @t5181 @t5283)))))) % 6.71/6.99 (assume @p3956 (forall (@list @t3975 @t10 @t4928) (=> @t5291 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t5314 (tptp.hAPP @t5313 @t3975))) @t5096))))) % 6.71/6.99 (assume @p3957 (forall @t164 (= (tptp.c_List_Olistset @t10 (tptp.c_List_Olist_ONil @t23)) @t5302))) % 6.71/6.99 (assume @p3958 (forall @t5320 (= (tptp.hAPP (tptp.hAPP @t5157 @t4992) @t4925) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5316 @t41 @t5319 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t5318 @t5318) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5317 (tptp.tc_fun @t5318 @t5318) @t41) (tptp.c_COMBB @t5316 @t5316 @t5150)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2097 @t5317 @t41) @t5315) @t3304))) @t5158)) @t4925)))) % 6.71/6.99 (assume @p3959 (forall (@list @t4983 @t173 @t285 @t287 @t41 @t10) (= (tptp.hAPP @t5323 (tptp.hAPP (tptp.hAPP @t5322 @t173) @t4983)) (tptp.hAPP @t5321 @t4983)))) % 6.71/6.99 (assume @p3960 (forall @t5325 (= (tptp.hAPP @t5323 @t5324) @t287))) % 6.71/6.99 (assume @p3961 (forall (@list @t5326 @t21 @t10) (= (tptp.c_List_Olistset @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t23) @t21) @t5326)) (tptp.c_List_Oset__Cons @t10 @t21 (tptp.c_List_Olistset @t10 @t5326))))) % 6.71/6.99 (assume @p3962 (forall (@list @t4925 @t97 @t4928 @t41 @t10) (= (tptp.hAPP @t5158 @t5329) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5316 @t10 @t5319 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5327 @t5327) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5317 (tptp.tc_fun @t5327 @t5327) @t10) (tptp.c_COMBB @t5316 @t5316 @t4706)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2097 @t5317 @t10) @t5315) (tptp.hAPP @t4465 @t97)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t5150 @t5316) @t5157) @t4925))) @t4928)))) % 6.71/6.99 (assume @p3963 (forall @t746 (=> @t120 (=> @t2064 (= @t5331 (tptp.c_List_Oremove1 @t10 @t51 @t5330)))))) % 6.71/6.99 (assume @p3964 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t5312 @t3921)) (=> (forall @t2046 (=> (tptp.hBOOL (tptp.hAPP @t5312 (tptp.hAPP (tptp.hAPP @t3198 @t898) @t993))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1536 @t898) @t993)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t5332) @t993))) @t2311))) @t3915)))) % 6.71/6.99 (assume @p3965 (forall @t164 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t146) @t5267)))) % 6.71/6.99 (assume @p3966 (forall @t4776 (and (=> @t4774 (= @t5340 @t5339)) (=> @t4775 (= @t5340 (tptp.c_Option_Ooption_Ooption__case @t5335 @t2097 @t5339 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t41 @t5335) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5336 @t5336) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5338 (tptp.tc_fun @t5336 @t5336) @t10) (tptp.c_COMBB @t5335 @t5335 @t41)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5337 @t5338 @t10) (tptp.c_Product__Type_Oprod_Oprod__case @t4706 @t41 @t5335)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4998 @t5337 @t10) (tptp.hAPP (tptp.c_COMBB @t4706 @t5336 @t4706) @t5334)) @t4972)))) (tptp.hAPP @t5333 @t4772))) @t53)))))) % 6.71/6.99 (assume @p3967 (forall (@list @t21 @t227 @t51 @t10) (= (tptp.c_List_Osublist @t10 @t5342 @t21) (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4706) @t5300) @t5298) @t5267)) (tptp.c_List_Osublist @t10 @t227 (tptp.hAPP @t4382 (tptp.hAPP @t4387 @t21))))))) % 6.71/6.99 (assume @p3968 (forall (@list @t4928 @t51 @t5048 @t4925 @t10) (= (= @t5349 @t4992) (or (and @t5347 (= @t5048 @t4992)) (exists @t5346 (and (= @t4925 @t5345) (= @t5344 @t4928))))))) % 6.71/6.99 (assume @p3969 (forall (@list @t5048 @t4925 @t4928 @t51 @t10) (= (= @t4992 @t5349) (or (and @t5347 (= @t4992 @t5048)) (exists @t5346 (and (= @t5345 @t4925) (= @t4928 @t5344))))))) % 6.71/6.99 (assume @p3970 (forall (@list @t97 @t4925 @t51 @t4928 @t10) (= (= @t5353 @t5351) (and @t5037 @t98)))) % 6.71/6.99 (assume @p3971 (forall @t5357 (= (tptp.hAPP (tptp.hAPP @t5354 @t4979) @t4934) (tptp.hAPP @t4976 @t5356)))) % 6.71/6.99 (assume @p3972 (forall (@list @t5286 @t4935 @t4934 @t5359 @t30 @t31) (=> (= (tptp.hAPP @t4976 @t5359) @t4934) (=> (= @t4935 (tptp.hAPP @t5360 @t5286)) (= @t4979 @t5358))))) % 6.71/6.99 (assume @p3973 (forall (@list @t21 @t4925 @t4928 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t5362) @t5060)) (and @t5064 (tptp.hBOOL (tptp.hAPP @t5361 @t5060)))))) % 6.71/6.99 (assume @p3974 (forall (@list @t5363 @t4934 @t5286 @t5359 @t4935 @t31) (=> (= (tptp.hAPP @t5355 @t5359) @t5286) (=> (= @t4934 (tptp.hAPP @t5360 @t5363)) (= @t5356 (tptp.hAPP (tptp.hAPP @t5354 @t5286) @t5363)))))) % 6.71/6.99 (assume @p3975 (forall (@list @t5048 @t4928 @t4925 @t10) (= (= (tptp.hAPP @t5348 @t4928) (tptp.hAPP @t5365 @t4928)) @t5364))) % 6.71/6.99 (assume @p3976 (forall @t5366 (= (= @t5362 (tptp.hAPP @t5352 @t5048)) @t5364))) % 6.71/6.99 (assume @p3977 (forall (@list @t8 @t5048 @t4925 @t4928 @t10) (= (= @t5362 (tptp.hAPP @t5365 @t8)) (exists (@list @t5367) (or (and (= @t4928 (tptp.hAPP @t5365 @t5367)) (= (tptp.hAPP @t5368 @t4925) @t8)) (and (= (tptp.hAPP @t5352 @t5367) @t5048) (= @t4925 (tptp.hAPP @t5368 @t8)))))))) % 6.71/6.99 (assume @p3978 (forall (@list @t5286 @t4934 @t4935 @t31) (= (tptp.hAPP (tptp.hAPP @t5354 @t5356) @t5286) (tptp.hAPP @t5355 @t5358)))) % 6.71/6.99 (assume @p3979 (forall @t4941 (=> @t1339 (= (tptp.hAPP @t5195 @t5356) (tptp.hAPP (tptp.hAPP @t1262 @t5196) (tptp.hAPP @t5195 @t4934)))))) % 6.71/6.99 (assume @p3980 (forall @t4941 (= (tptp.hAPP @t4938 @t5356) @t5370))) % 6.71/6.99 (assume @p3981 (forall (@list @t5371 @t4934 @t5363 @t10 @t4935 @t31) (=> (= @t4940 (tptp.hAPP @t4923 @t5363)) (=> (= @t4939 (tptp.hAPP @t4923 @t5371)) (= (tptp.hAPP @t5374 (tptp.hAPP (tptp.hAPP @t5341 @t5363) @t5371)) (tptp.hAPP (tptp.hAPP @t5373 (tptp.hAPP @t5164 @t5363)) (tptp.hAPP @t5372 @t5371))))))) % 6.71/6.99 (assume @p3982 (forall @t5377 (= (tptp.hAPP @t5094 @t5362) @t5376))) % 6.71/6.99 (assume @p3983 (forall @t5379 (= @t5378 @t4934))) % 6.71/6.99 (assume @p3984 (forall @t5377 (= (= @t5267 @t5362) @t5380))) % 6.71/6.99 (assume @p3985 (forall @t5239 (= (tptp.hAPP @t5355 @t5266) @t4935))) % 6.71/6.99 (assume @p3986 (forall (@list @t4925 @t10 @t4928) (= (= @t4928 @t5362) @t5347))) % 6.71/6.99 (assume @p3987 (forall (@list @t4928 @t10 @t4925) (= (= @t4925 @t5362) @t5268))) % 6.71/6.99 (assume @p3988 (forall @t5377 (= (= @t5362 @t5267) @t5380))) % 6.71/6.99 (assume @p3989 (forall @t5377 (= (= @t5362 @t4928) @t5347))) % 6.71/6.99 (assume @p3990 (forall @t5377 (= (= @t5362 @t4925) @t5268))) % 6.71/6.99 (assume @p3991 (forall (@list @t31 @t4934 @t4935) (=> @t4936 (= @t4935 @t5378)))) % 6.71/6.99 (assume @p3992 (forall @t5384 (and (=> @t5382 (= @t5381 @t5211)) (=> @t5383 (= @t5381 (tptp.hAPP @t5355 (tptp.c_List_Obutlast @t31 @t4934))))))) % 6.71/6.99 (assume @p3993 (forall (@list @t4934 @t30 @t4935 @t31) (= (tptp.hAPP (tptp.hAPP @t5077 @t5385) @t4940) @t30))) % 6.71/6.99 (assume @p3994 (forall (@list @t176 @t4934 @t4935 @t31) (= (tptp.hAPP @t5386 (tptp.hAPP @t5369 @t176)) (tptp.hAPP @t5260 @t176)))) % 6.71/6.99 (assume @p3995 (forall @t5389 (= (tptp.hAPP @t5102 @t5356) (tptp.hAPP @t5388 (tptp.hAPP (tptp.hAPP @t5101 @t5387) @t4934))))) % 6.71/6.99 (assume @p3996 (forall (@list @t30 @t4934 @t4935 @t31 @t209) (=> @t5176 (= (tptp.hAPP (tptp.hAPP @t5390 @t209) @t30) (tptp.hAPP (tptp.hAPP @t5354 @t5203) @t4934))))) % 6.71/6.99 (assume @p3997 (forall (@list @t64 @t4934 @t30 @t4935 @t31) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t31 @t5385) @t4940) @t64) (tptp.hAPP @t5355 @t5391)))) % 6.71/6.99 (assume @p3998 (forall @t5393 (and (=> @t5113 (= @t5392 (tptp.hAPP (tptp.hAPP @t5341 @t5263) @t4925))) (=> @t5114 (= @t5392 (tptp.hAPP @t5352 (tptp.c_List_Oremove1 @t10 @t51 @t4925))))))) % 6.71/6.99 (assume @p3999 (forall @t5393 (=> (or @t5232 (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 @t5394)))) (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 (tptp.c_List_Obutlast @t10 @t5362))))))) % 6.71/6.99 (assume @p4000 (forall @t5276 (= (tptp.c_List_Obutlast @t31 @t5395) @t4935))) % 6.71/6.99 (assume @p4001 (forall (@list @t5396 @t5397 @t2727 @t4925 @t4928 @t10) (=> (or (and @t5035 (= @t5397 @t5396)) (and @t5037 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t5397) @t5396)) @t5021)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t5398) (tptp.hAPP @t5348 @t5396))) @t5021))))) % 6.71/6.99 (assume @p4002 (forall (@list @t51 @t2727 @t1961 @t261 @t10) (=> @t5401 @t5400))) % 6.71/6.99 (assume @p4003 (forall @t5377 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5362)) (and @t5242 @t5402 (= (tptp.hAPP (tptp.hAPP @t264 @t5096) @t5375) @t146))))) % 6.71/6.99 (assume @p4004 (forall (@list @t4934 @t4935 @t31 @t176) (and (=> @t5238 (= @t5403 @t5080)) (=> @t5404 (= @t5403 (tptp.hAPP @t5260 @t5387)))))) % 6.71/6.99 (assume @p4005 (forall (@list @t30 @t4934 @t4935 @t31 @t176) (and (=> @t5238 (= @t5405 (tptp.hAPP (tptp.hAPP @t5354 (tptp.hAPP (tptp.hAPP @t5201 @t176) @t30)) @t4934))) (=> @t5404 (= @t5405 (tptp.hAPP @t5355 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t31 @t4934) @t5387) @t30))))))) % 6.71/6.99 (assume @p4006 (forall (@list @t21 @t5406 @t227 @t10) (= (tptp.c_List_Osublist @t10 (tptp.hAPP (tptp.hAPP @t5341 @t227) @t5406) @t21) (tptp.hAPP (tptp.hAPP @t5341 (tptp.c_List_Osublist @t10 @t227 @t21)) (tptp.c_List_Osublist @t10 @t5406 (tptp.hAPP @t4382 (tptp.hAPP (tptp.hAPP @t4378 (tptp.hAPP @t4386 (tptp.hAPP @t3324 (tptp.hAPP @t4923 @t227)))) @t21))))))) % 6.71/6.99 (assume @p4007 (forall (@list @t4925 @t5396 @t5397 @t4928 @t2727 @t97 @t51 @t10) (=> @t4227 (=> (= @t4928 (tptp.hAPP @t5407 (tptp.hAPP @t4991 @t5396))) (=> (= @t4925 (tptp.hAPP @t5407 (tptp.hAPP @t4989 @t5396))) @t5035))))) % 6.71/6.99 (assume @p4008 (forall (@list @t97 @t51 @t261 @t2727 @t248 @t173 @t10) (=> @t4215 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 (tptp.hAPP @t5408 @t5017)) (tptp.hAPP @t5408 @t5016))) @t5012))))) % 6.71/6.99 (assume @p4009 (forall @t5411 (=> @t5176 (= (tptp.hAPP (tptp.hAPP @t5101 @t706) @t4935) (tptp.hAPP @t5410 (tptp.hAPP @t5409 @t5266)))))) % 6.71/6.99 (assume @p4010 (forall (@list @t2727 @t97 @t4925 @t51 @t4928 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP (tptp.hAPP @t4930 @t5353) @t5351)) @t5021)) (or (and @t5035 @t98) (and @t5037 @t4227))))) % 6.71/6.99 (assume @p4011 (forall @t5036 (=> @t5035 (not (forall @t284 (=> @t4272 (forall @t5413 (=> (= @t4928 (tptp.hAPP @t5368 (tptp.hAPP @t5058 @t5412))) (not (= @t4925 (tptp.hAPP @t5368 (tptp.hAPP @t5052 @t5412)))))))))))) % 6.71/6.99 (assume @p4012 (forall (@list @t2727 @t1961 @t261 @t51 @t10) (=> @t5400 (=> (forall @t2993 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t5043 @t1231)) @t2727)))) @t5401)))) % 6.71/6.99 (assume @p4013 (forall @t5097 (= @t5417 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4706 @t10 @t5267 (tptp.hAPP (tptp.hAPP @t5415 @t5414) @t5309)) @t4928)))) % 6.71/6.99 (assume @p4014 (forall (@list @t81 @t4935 @t31 @t209) (=> @t5176 (= (tptp.hAPP @t5202 @t81) (tptp.hAPP @t5410 (tptp.hAPP @t4987 @t5419)))))) % 6.71/6.99 (assume @p4015 (forall @t5121 (= (tptp.hAPP @t5388 @t5421) @t4935))) % 6.71/6.99 (assume @p4016 (forall @t5119 (= (tptp.hAPP @t5422 @t4979) @t5421))) % 6.71/6.99 (assume @p4017 (forall @t4981 (= (tptp.hAPP (tptp.hAPP @t5418 @t1243) @t4979) @t4935))) % 6.71/6.99 (assume @p4018 (forall (@list @t4934 @t64 @t4935 @t176 @t31) (=> (= @t5421 @t5391) (= @t5080 @t64)))) % 6.71/6.99 (assume @p4019 (forall @t5210 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5424))))) % 6.71/6.99 (assume @p4020 (forall @t5097 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5417)) @t5242))) % 6.71/6.99 (assume @p4021 (forall @t5121 (= @t5426 @t5425))) % 6.71/6.99 (assume @p4022 (forall @t5121 (= @t5425 @t5426))) % 6.71/6.99 (assume @p4023 (forall @t5123 (= (tptp.hAPP @t5420 @t5122) (tptp.hAPP (tptp.hAPP @t5101 @t915) @t5421)))) % 6.71/6.99 (assume @p4024 (forall @t5123 (= (tptp.hAPP @t5102 @t5428) (tptp.hAPP @t5427 (tptp.hAPP (tptp.hAPP @t5101 @t1304) @t4935))))) % 6.71/6.99 (assume @p4025 (forall @t5123 (= (tptp.hAPP @t5420 @t5428) (tptp.hAPP (tptp.hAPP @t5418 @t1304) @t4935)))) % 6.71/6.99 (assume @p4026 (forall @t5239 (= (tptp.hAPP (tptp.hAPP @t5418 @t890) @t4935) @t4935))) % 6.71/6.99 (assume @p4027 (forall @t5167 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5166) @t176) @t5165) (tptp.hAPP (tptp.hAPP @t5163 @t5421) (tptp.hAPP (tptp.hAPP @t5429 @t176) @t4934))))) % 6.71/6.99 (assume @p4028 (forall @t5239 (= (tptp.hAPP @t4938 @t5431) @t4940))) % 6.71/6.99 (assume @p4029 (forall @t5121 (= (tptp.hAPP @t4938 @t5421) (tptp.hAPP @t5215 @t176)))) % 6.71/6.99 (assume @p4030 (forall @t5097 (= (tptp.hAPP @t5094 @t5417) @t5096))) % 6.71/6.99 (assume @p4031 (forall @t5116 (=> (tptp.hBOOL (tptp.hAPP @t326 @t5434)) @t5113))) % 6.71/6.99 (assume @p4032 (forall @t5109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t5434) @t5096)))) % 6.71/6.99 (assume @p4033 (forall @t1452 (= (tptp.hAPP @t5420 @t5266) @t5266))) % 6.71/6.99 (assume @p4034 (forall @t5097 (= (= @t5417 @t5267) @t5268))) % 6.71/6.99 (assume @p4035 (forall (@list @t4928 @t10 @t181 @t115) (=> @t190 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t5094 (tptp.hAPP (tptp.hAPP @t5429 @t181) @t4928))) @t5434))))) % 6.71/6.99 (assume @p4036 (forall @t5105 (=> @t5104 (= @t5421 @t5266)))) % 6.71/6.99 (assume @p4037 (forall @t5109 (= (= @t5433 @t5267) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t4929) @t115))))) % 6.71/6.99 (assume @p4038 (forall @t5389 (= (tptp.hAPP @t5420 @t5356) (tptp.hAPP (tptp.hAPP @t5354 @t5421) (tptp.hAPP (tptp.hAPP @t5418 @t5387) @t4934))))) % 6.71/6.99 (assume @p4039 (forall @t5366 (= (= @t5362 @t5048) (and (= @t4928 (tptp.hAPP (tptp.hAPP @t5086 @t4929) @t5048)) (= @t4925 (tptp.hAPP (tptp.hAPP @t5429 @t4929) @t5048)))))) % 6.71/6.99 (assume @p4040 (forall @t5295 (= (tptp.hAPP @t5432 @t4992) (tptp.c_Nat_Onat_Onat__case @t4706 @t4992 (tptp.hAPP (tptp.hAPP @t5294 @t5429) @t4928) @t115)))) % 6.71/6.99 (assume @p4041 (forall @t5082 (and (=> @t968 (= @t5435 @t4979)) (=> @t969 (= @t5435 (tptp.hAPP (tptp.hAPP @t5418 @t1244) @t4935)))))) % 6.71/6.99 (assume @p4042 (forall (@list @t4935 @t31 @t209 @t176) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5436) @t4940)) (= (tptp.hAPP (tptp.hAPP @t5077 @t5421) @t209) (tptp.hAPP @t5079 @t5436))))) % 6.71/6.99 (assume @p4043 (forall (@list @t5437 @t5440 @t5438 @t5439 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5341 @t5439) @t5438) (tptp.hAPP (tptp.hAPP @t5341 @t5440) @t5437)) (and (=> @t5443 (and (= @t5439 (tptp.hAPP (tptp.hAPP @t5086 @t5442) @t5440)) (= @t5438 (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP @t5429 @t5442) @t5440)) @t5437)))) (=> (not @t5443) (and (= (tptp.hAPP (tptp.hAPP @t5086 @t5441) @t5439) @t5440) (= (tptp.hAPP (tptp.hAPP @t5341 (tptp.hAPP (tptp.hAPP @t5429 @t5441) @t5439)) @t5438) @t5437))))))) % 6.71/6.99 (assume @p4044 (forall @t5411 (=> @t5176 (= @t5444 @t5424)))) % 6.71/6.99 (assume @p4045 (forall (@list @t4935 @t30 @t10 @t31) (and (= (tptp.hAPP @t5430 @t5266) @t5266) (= (tptp.hAPP @t5416 (tptp.hAPP @t5445 @t4935)) (tptp.hAPP (tptp.hAPP @t5341 @t4935) (tptp.hAPP @t5445 @t5267)))))) % 6.71/6.99 (assume @p4046 (forall @t5085 (and (=> @t2228 (= @t5446 @t4979)) (=> @t5084 (= @t5446 (tptp.hAPP (tptp.hAPP @t5418 @t1863) @t4935)))))) % 6.71/6.99 (assume @p4047 (forall (@list @t4935 @t31 @t211 @t209) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1377) @t4940)) (= (tptp.hAPP (tptp.hAPP @t5101 @t1377) @t4935) (tptp.hAPP @t5410 (tptp.hAPP (tptp.hAPP @t5101 @t211) @t5424)))))) % 6.71/6.99 (assume @p4048 (forall @t5239 (=> @t5447 (= @t5431 @t4935)))) % 6.71/6.99 (assume @p4049 (forall @t5448 (= (tptp.hAPP @t5374 @t5286) (tptp.hAPP (tptp.hAPP @t5373 (tptp.hAPP @t5164 (tptp.hAPP (tptp.hAPP @t5086 @t4940) @t5286))) (tptp.hAPP @t5372 (tptp.hAPP (tptp.hAPP @t5429 @t4940) @t5286)))))) % 6.71/6.99 (assume @p4050 (forall @t5448 (= (tptp.hAPP @t5164 (tptp.hAPP (tptp.hAPP @t5341 @t4934) @t5286)) (tptp.hAPP (tptp.hAPP @t5373 (tptp.hAPP (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5101 @t5168) @t4935)) @t4934)) (tptp.hAPP (tptp.hAPP @t5163 (tptp.hAPP (tptp.hAPP @t5418 @t5168) @t4935)) @t5286))))) % 6.71/6.99 (assume @p4051 (forall @t5411 (=> @t5176 (= @t4935 (tptp.hAPP @t5410 @t5444))))) % 6.71/6.99 (assume @p4052 (forall @t5200 (=> @t5238 (= (tptp.hAPP @t5388 (tptp.hAPP (tptp.hAPP @t4975 @t5451) @t5266)) @t5449)))) % 6.71/6.99 (assume @p4053 (forall @t5452 (=> @t5273 (=> @t5238 (= @t5451 @t5080))))) % 6.71/6.99 (assume @p4054 (forall @t4981 (= (tptp.hAPP @t5450 @t4979) @t30))) % 6.71/6.99 (assume @p4055 (forall @t5456 @t5455)) % 6.71/6.99 (assume @p4056 (forall @t5456 (and (=> @t5272 (= @t5454 (tptp.hAPP @t5450 @t4934))) @t5455))) % 6.71/6.99 (assume @p4057 (forall @t5459 (=> @t5291 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t5458) @t5096))))) % 6.71/6.99 (assume @p4058 (forall @t5274 (=> @t5273 (= @t5453 (tptp.hAPP @t5079 @t890))))) % 6.71/6.99 (assume @p4059 (forall @t5274 (=> @t5273 (= @t5431 (tptp.hAPP @t5463 (tptp.hAPP @t5460 @t5266)))))) % 6.71/6.99 (assume @p4060 (forall @t5452 (=> @t5273 (= (tptp.hAPP @t5450 @t5466) (tptp.hAPP @t5079 @t5464))))) % 6.71/6.99 (assume @p4061 (forall @t5121 (= @t5468 @t5467))) % 6.71/6.99 (assume @p4062 (forall @t5121 (= @t5467 @t5468))) % 6.71/6.99 (assume @p4063 (forall @t4981 (= (tptp.hAPP @t5461 @t4979) @t4935))) % 6.71/6.99 (assume @p4064 (forall @t5239 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5462))))) % 6.71/6.99 (assume @p4065 (forall @t5109 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5470)) @t5242))) % 6.71/6.99 (assume @p4066 (forall (@list @t4935 @t176 @t193 @t31) (= (tptp.hAPP (tptp.c_List_Orotate @t31 @t193) @t5466) (tptp.hAPP (tptp.c_List_Orotate @t31 @t1297) @t4935)))) % 6.71/6.99 (assume @p4067 (forall @t164 (= (tptp.c_List_Orotate @t10 @t890) @t5471))) % 6.71/6.99 (assume @p4068 (forall @t665 (= (tptp.c_List_Orotate @t10 @t1372) (tptp.hAPP (tptp.c_Fun_Ocomp @t4706 @t4706 @t4706 (tptp.c_List_Orotate @t10 @t181)) @t5469)))) % 6.71/6.99 (assume @p4069 (forall @t5121 (= (tptp.hAPP @t4938 @t5466) @t4940))) % 6.71/6.99 (assume @p4070 (forall @t5109 (= (tptp.hAPP @t5094 @t5470) @t5096))) % 6.71/6.99 (assume @p4071 (forall @t471 (= (tptp.hAPP @t5461 @t5266) @t5266))) % 6.71/6.99 (assume @p4072 (forall @t5109 (= (= @t5470 @t5267) @t5268))) % 6.71/6.99 (assume @p4073 (forall @t5121 (= @t5472 (tptp.hAPP @t5465 @t5431)))) % 6.71/6.99 (assume @p4074 (forall @t598 (= @t5469 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4706 @t4706) @t115) @t5416)))) % 6.71/6.99 (assume @p4075 (forall @t5456 (=> @t5273 (= (tptp.hAPP @t5461 @t5356) (tptp.hAPP @t5463 @t4934))))) % 6.71/6.99 (assume @p4076 (forall @t5121 (= @t5473 (tptp.hAPP @t5461 @t5449)))) % 6.71/6.99 (assume @p4077 (forall @t5121 (= @t5466 (tptp.hAPP (tptp.c_List_Orotate @t31 @t5464) @t4935)))) % 6.71/6.99 (assume @p4078 (forall @t5121 (= (tptp.hAPP @t5422 @t4935) @t5468))) % 6.71/6.99 (assume @p4079 (forall @t5121 (= (tptp.hAPP (tptp.c_List_Orotate @t31 @t177) @t4935) @t5472))) % 6.71/6.99 (assume @p4080 (forall @t5377 (= (tptp.hAPP @t5474 @t5362) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4706 @t10 (tptp.hAPP @t5474 @t4925) (tptp.hAPP (tptp.c_COMBK @t4998 @t10) (tptp.hAPP @t5414 @t4925))) @t4928)))) % 6.71/6.99 (assume @p4081 (forall @t5200 (=> (= @t5464 @t890) @t5475))) % 6.71/6.99 (assume @p4082 (forall @t5105 (=> @t5447 @t5475))) % 6.71/6.99 (assume @p4083 (forall @t5239 (= (tptp.hAPP @t4938 @t5462) @t5216))) % 6.71/6.99 (assume @p4084 (forall @t5121 (= (tptp.hAPP @t5461 @t5103) (tptp.hAPP @t5198 @t5462)))) % 6.71/6.99 (assume @p4085 (forall @t5452 (=> @t5273 (= @t5449 (tptp.hAPP @t5460 @t5473))))) % 6.71/6.99 (assume @p4086 (forall @t5121 (= @t5466 (tptp.hAPP (tptp.hAPP @t5354 (tptp.hAPP (tptp.hAPP @t5418 @t5464) @t4935)) (tptp.hAPP (tptp.hAPP @t5101 @t5464) @t4935))))) % 6.71/6.99 (assume @p4087 (forall @t5097 (=> @t2390 (=> @t5291 (= (tptp.hAPP @t2324 @t5096) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1019 @t5458) (tptp.hAPP @t5474 @t4928))))))) % 6.71/6.99 (assume @p4088 (forall (@list @t2727 @t51 @t10 @t97) (=> (exists (@list @t893 @t2910) (= @t97 (tptp.hAPP (tptp.hAPP @t4972 @t893) @t2910))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5013 (tptp.hAPP @t5399 @t97))) @t5012))))) % 6.71/6.99 (assume @p4089 (forall @t4350 (= (tptp.hAPP @t5476 @t5324) @t173))) % 6.71/6.99 (assume @p4090 (forall (@list @t5183 @t115 @t181) (=> @t185 (tptp.hBOOL (tptp.hAPP @t184 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1248 @t115) @t5183)))))) % 6.71/6.99 (assume @p4091 (forall @t5477 (=> (tptp.class_Groups_Osemigroup__add @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1313 @t1424) @t5048) (tptp.hAPP @t1423 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1313 @t97) @t5048)))))) % 6.71/6.99 (assume @p4092 (forall (@list @t5048 @t51 @t10) (=> @t5479 (= (tptp.hAPP @t1423 (tptp.hAPP @t5478 @t5048)) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t1313 @t51) @t5048))))) % 6.71/6.99 (assume @p4093 (forall (@list @t4928 @t51 @t173 @t2 @t41 @t10) (= (tptp.hAPP @t5476 @t5481) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 @t2 (tptp.hAPP @t829 @t51)) @t4928)))) % 6.71/6.99 (assume @p4094 (forall (@list @t4925 @t4928 @t173 @t2 @t41 @t10) (= (tptp.hAPP @t5476 @t5484) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 @t2 @t5482) @t4925)))) % 6.71/6.99 (assume @p4095 (forall @t164 (=> @t5479 (= @t5179 @t5478)))) % 6.71/6.99 (assume @p4096 (forall (@list @t5183 @t181) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1248 @t181) @t5183) @t890) (and @t996 @t5186)))) % 6.71/6.99 (assume @p4097 (forall @t5487 (=> @t3035 (= @t5486 (tptp.hAPP @t5485 @t4928))))) % 6.71/6.99 (assume @p4098 (forall @t5097 (=> @t223 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t5096) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t463 @t147) @t4928))))) % 6.71/6.99 (assume @p4099 (forall @t5097 (=> @t223 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t5096) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t458 @t150) @t4928))))) % 6.71/6.99 (assume @p4100 (forall @t5011 (=> @t552 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t5098) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t463 @t51) @t4928))))) % 6.71/6.99 (assume @p4101 (forall @t5011 (=> @t552 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t5098) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t458 @t51) @t4928))))) % 6.71/6.99 (assume @p4102 (forall @t5011 (=> @t120 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t5098) @t5488)))) % 6.71/6.99 (assume @p4103 (forall @t5011 (=> @t120 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t5098) @t5489)))) % 6.71/6.99 (assume @p4104 (forall @t5011 (=> @t120 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t3039 @t5098) @t5488)))) % 6.71/6.99 (assume @p4105 (forall @t5011 (=> @t120 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t3129 @t5098) @t5489)))) % 6.71/6.99 (assume @p4106 (forall @t5491 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t3452 @t5490) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 (tptp.hAPP @t3526 (tptp.hAPP (tptp.hAPP @t3363 @t463) @t2)) @t147) @t4928))))) % 6.71/6.99 (assume @p4107 (forall @t5491 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t3409 @t5490) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 (tptp.hAPP @t3526 (tptp.hAPP (tptp.hAPP @t3363 @t458) @t2)) @t150) @t4928))))) % 6.71/6.99 (assume @p4108 (forall (@list @t5183 @t115) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1003 @t115) @t5185)) (tptp.hBOOL (tptp.hAPP @t189 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t1248 @t890) @t5183)))))) % 6.71/6.99 (assume @p4109 (forall @t746 (=> @t120 (=> @t2064 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t634) (tptp.hAPP @t5493 @t5331)))))) % 6.71/6.99 (assume @p4110 (forall (@list @t2727 @t97 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5270 @t97)) @t5012)) (exists (@list @t1231 @t3) (= @t97 (tptp.hAPP @t5494 @t3)))))) % 6.71/6.99 (assume @p4111 (forall (@list @t51 @t2 @t10 @t41) (=> @t3066 (= (tptp.hAPP @t5496 @t5267) @t5298)))) % 6.71/6.99 (assume @p4112 (forall (@list @t4925 @t41 @t97 @t51 @t2 @t10) (=> @t120 (and (=> @t5500 (= @t5499 (tptp.hAPP @t5480 @t5329))) (=> (not @t5500) (= @t5499 (tptp.hAPP @t5328 (tptp.hAPP @t5498 @t4925)))))))) % 6.71/6.99 (assume @p4113 (forall (@list @t4928 @t41 @t97 @t51 @t2 @t10) (=> @t120 (=> @t1070 (= (tptp.hAPP @t5501 @t5502) (tptp.hAPP @t5498 (tptp.hAPP @t5501 @t4928))))))) % 6.71/6.99 (assume @p4114 (forall @t164 (=> @t120 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t4706 @t5492)))) % 6.71/6.99 (assume @p4115 (forall (@list @t4928 @t97 @t51 @t10) (=> @t120 (= (tptp.hAPP @t5493 (tptp.hAPP @t5504 @t4928)) (tptp.hAPP @t5504 @t5503))))) % 6.71/6.99 (assume @p4116 (forall @t5507 (=> @t3066 (= (tptp.hAPP @t4923 @t5506) @t5505)))) % 6.71/6.99 (assume @p4117 (forall @t5507 (=> @t3066 (= (tptp.hAPP @t5094 @t5506) @t5124)))) % 6.71/6.99 (assume @p4118 (forall @t5011 (=> @t120 (= (tptp.c_List_Oremove1 @t10 @t51 @t5503) @t4928)))) % 6.71/6.99 (assume @p4119 (forall (@list @t4928 @t173 @t2 @t10 @t41) (=> @t3066 (not (= @t5509 @t5267))))) % 6.71/6.99 (assume @p4120 (forall @t5507 (=> @t3066 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5506)) @t5250)))) % 6.71/6.99 (assume @p4121 (forall @t5513 (=> @t120 (=> (not @t5512) (= @t5510 @t5502))))) % 6.71/6.99 (assume @p4122 (forall @t5011 (=> @t120 (=> @t5114 (= @t5514 @t5503))))) % 6.71/6.99 (assume @p4123 (forall (@list @t51 @t2 @t4928 @t10 @t41) (=> @t3066 (=> @t5242 (tptp.hBOOL (tptp.hAPP @t5240 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t41 @t2 @t51 @t4928))))))) % 6.71/6.99 (assume @p4124 (forall @t5011 (=> @t120 (=> @t5113 (= @t5514 @t4928))))) % 6.71/6.99 (assume @p4125 (forall @t5011 (=> @t120 (= (tptp.hAPP @t5094 @t5514) @t5124)))) % 6.71/6.99 (assume @p4126 (forall @t5513 (=> @t120 (=> @t5512 (= @t5510 @t4928))))) % 6.71/6.99 (assume @p4127 (forall (@list @t30 @t208 @t31 @t4935) (=> @t5273 (and (=> @t5217 (= @t5516 @t30)) (=> @t5218 (= @t5516 @t5515)))))) % 6.71/6.99 (assume @p4128 (forall @t5274 (=> @t5273 (= @t5515 (tptp.hAPP @t5079 @t5216))))) % 6.71/6.99 (assume @p4129 (forall @t4980 (and @t5519 @t5518))) % 6.71/6.99 (assume @p4130 (forall @t4980 @t5518)) % 6.71/6.99 (assume @p4131 (forall @t4980 @t5519)) % 6.71/6.99 (assume @p4132 (forall @t5384 (and @t5522 @t5521))) % 6.71/6.99 (assume @p4133 (forall @t5384 @t5521)) % 6.71/6.99 (assume @p4134 (forall @t5384 @t5522)) % 6.71/6.99 (assume @p4135 (forall (@list @t10 @t5523) (=> (not (= @t5523 @t5267)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.c_List_Olast @t10 @t5523)) (tptp.hAPP @t5094 @t5523)))))) % 6.71/6.99 (assume @p4136 (forall @t5276 (= (tptp.c_List_Olast @t31 @t5395) @t30))) % 6.71/6.99 (assume @p4137 (forall @t5200 (=> @t5238 (= (tptp.c_List_Olast @t31 @t5421) @t5515)))) % 6.71/6.99 (assume @p4138 (forall @t5274 (=> @t5273 (= (tptp.hAPP (tptp.hAPP @t5354 @t5211) (tptp.hAPP (tptp.hAPP @t4975 @t5515) @t5266)) @t4935)))) % 6.71/6.99 (assume @p4139 (forall (@list @t4925 @t51 @t4928 @t10) (= (= @t5353 @t4925) (and (not @t5347) (= @t5394 @t4928) (= (tptp.c_List_Olast @t10 @t4925) @t51))))) % 6.71/6.99 (assume @p4140 (forall @t676 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t173) @t5060)) (or @t5525 (exists (@list @t1231 @t5524) (and (= @t173 (tptp.hAPP @t5494 @t5524)) @t2305 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t5524) @t5060)))))))) % 6.71/6.99 (assume @p4141 (forall @t5459 (=> @t5291 (= (tptp.c_Random_Oselect__weight @t10 @t5526) @t5313)))) % 6.71/6.99 (assume @p4142 (forall @t1027 (=> @t1074 @t5529))) % 6.71/6.99 (assume @p4143 (forall @t5532 (=> @t5291 (= (tptp.c_List_Olast @t41 @t5531) (tptp.hAPP @t2 @t5530))))) % 6.71/6.99 (assume @p4144 (forall (@list @t4928 @t2 @t2989 @t173 @t1 @t41 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 @t1 @t173) @t5535) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t2989 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3504 @t3413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t148 (tptp.tc_fun @t3504 @t3413) @t10) @t3389) @t1)) @t2) @t173) @t4928)))) % 6.71/6.99 (assume @p4145 (forall @t5539 (= (tptp.hAPP @t5469 @t5538) (tptp.hAPP @t5537 (tptp.hAPP (tptp.c_List_Orotate @t41 @t115) @t4928))))) % 6.71/6.99 (assume @p4146 (forall @t5540 (= (tptp.hAPP @t5537 (tptp.hAPP (tptp.c_List_Otl @t41) @t4928)) (tptp.hAPP @t5474 @t5538)))) % 6.71/6.99 (assume @p4147 (forall @t5097 (= @t5175 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t3772) @t4197) @t4928)))) % 6.71/6.99 (assume @p4148 (forall (@list @t4925 @t1 @t3425 @t4928 @t2 @t2989 @t41 @t10) (= (tptp.hAPP @t5545 (tptp.hAPP @t5542 @t4925)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4511 @t2097) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2989 @t3425 @t2097) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2989 @t4780 @t5541) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 (tptp.tc_fun @t4780 @t5541) @t2989) (tptp.c_COMBB @t41 @t2097 @t3425)) @t4375)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2989 @t3425) @t4928) @t4925))))) % 6.71/6.99 (assume @p4149 (forall (@list @t4925 @t4928 @t2 @t2989 @t41 @t10) (= (tptp.hAPP @t5545 @t4925) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4620 @t2097) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2989 @t41 @t2097) @t4375)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2989 @t41) @t4928) @t4925))))) % 6.71/6.99 (assume @p4150 (forall (@list @t4925 @t4928 @t1 @t3425 @t2 @t10 @t2989 @t41) (= (tptp.hAPP @t5547 (tptp.hAPP (tptp.hAPP @t5546 (tptp.hAPP @t5542 @t4928)) @t4925)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4606 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3425 @t2989 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3495 @t3413 @t3425) (tptp.hAPP (tptp.c_COMBB @t3487 @t10 @t2989) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t41 @t3495 @t3425) @t3489) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t3425 @t2989) @t4928) @t4925))))) % 6.71/6.99 (assume @p4151 (forall (@list @t4925 @t1 @t3425 @t4928 @t2 @t10 @t2989 @t41) (= (tptp.hAPP @t5547 (tptp.hAPP (tptp.hAPP @t5546 @t4928) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t3425 @t2989) @t1) @t4925))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4598 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t3425 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5548 (tptp.tc_fun @t3425 @t10) @t41) (tptp.hAPP (tptp.c_COMBB @t3487 @t10 @t3425) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t5549 @t5548) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3495 (tptp.tc_fun @t5549 @t5548) @t41) (tptp.c_COMBB @t2989 @t3487 @t3425)) @t3489)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t41 @t3425) @t4928) @t4925))))) % 6.71/6.99 (assume @p4152 (forall (@list @t4925 @t2 @t2989 @t4928 @t41 @t10) (= (tptp.hAPP @t5158 (tptp.hAPP @t5534 @t4925)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4596 @t2097) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t2989 @t2097) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3504 @t5550) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 (tptp.tc_fun @t3504 @t5550) @t10) (tptp.c_COMBB @t41 @t2097 @t2989)) @t3303)) @t2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t2989) @t4928) @t4925))))) % 6.71/6.99 (assume @p4153 (forall @t5540 (= (= @t5538 @t5267) @t5551))) % 6.71/6.99 (assume @p4154 (forall @t258 (= (tptp.hAPP @t5537 @t5324) @t5267))) % 6.71/6.99 (assume @p4155 (forall @t5552 (= (= @t5267 @t5538) @t5551))) % 6.71/6.99 (assume @p4156 (forall (@list @t97 @t151 @t4928 @t2 @t10 @t41) (= (tptp.hAPP @t5537 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t41 @t4928) @t151) @t97)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5538) @t151) @t117)))) % 6.71/6.99 (assume @p4157 (forall (@list @t1 @t4928 @t2 @t10 @t41) (= (= @t5538 @t5553) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t822 @t5490)) @t6))))) % 6.71/6.99 (assume @p4158 (forall @t5552 (= (tptp.hAPP @t4923 @t5538) @t5554))) % 6.71/6.99 (assume @p4159 (forall (@list @t4925 @t1 @t2989 @t4928 @t2 @t10 @t41) (=> (= @t5538 (tptp.hAPP (tptp.hAPP @t5543 @t1) @t4925)) (= @t5554 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5555) @t4925))))) % 6.71/6.99 (assume @p4160 (forall (@list @t4928 @t2 @t291 @t41 @t10) (=> @t3525 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 (tptp.hAPP (tptp.hAPP @t3238 @t1138) @t2)) @t4928)) (tptp.hAPP @t1138 @t5556))))) % 6.71/6.99 (assume @p4161 (forall (@list @t4928 @t291 @t2 @t41 @t10) (=> @t3525 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 (tptp.hAPP @t3527 @t291)) @t4928)) (tptp.hAPP (tptp.hAPP @t1019 @t5556) @t291))))) % 6.71/6.99 (assume @p4162 (forall (@list @t4928 @t41 @t10) (=> @t5479 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 @t3532) @t4928)) @t925)))) % 6.71/6.99 (assume @p4163 (forall @t5558 (=> @t2924 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 @t3533) @t4928)) (tptp.hAPP (tptp.hAPP @t1313 @t5556) @t5557))))) % 6.71/6.99 (assume @p4164 (forall @t5558 (=> @t816 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 @t3517) @t4928)) (tptp.hAPP (tptp.hAPP @t807 @t5556) @t5557))))) % 6.71/6.99 (assume @p4165 (forall @t5561 (=> @t1074 @t5560))) % 6.71/6.99 (assume @p4166 (forall @t5564 (=> @t5563 (=> (tptp.c_Fun_Oinj__on @t41 @t10 @t2 @t858) @t5037)))) % 6.71/6.99 (assume @p4167 (forall @t5097 (= (tptp.hAPP @t5566 @t4928) @t4928))) % 6.71/6.99 (assume @p4168 (forall @t5539 (= (tptp.hAPP @t5106 @t5538) (tptp.hAPP @t5537 (tptp.hAPP @t5568 @t4928))))) % 6.71/6.99 (assume @p4169 (forall @t5540 (= (tptp.hAPP @t5537 (tptp.c_List_Obutlast @t41 @t4928)) (tptp.c_List_Obutlast @t10 @t5538)))) % 6.71/6.99 (assume @p4170 (forall @t5552 (= (tptp.hAPP @t5094 @t5538) @t5511))) % 6.71/6.99 (assume @p4171 (forall @t5507 (= (tptp.hAPP @t5537 @t5481) (tptp.hAPP (tptp.hAPP @t4972 @t53) @t5538)))) % 6.71/6.99 (assume @p4172 (forall @t5564 (= (tptp.hAPP @t5537 @t5484) (tptp.hAPP (tptp.hAPP @t5341 @t5538) @t5562)))) % 6.71/6.99 (assume @p4173 (forall @t5532 (=> @t5291 (= (tptp.hAPP (tptp.c_List_Ohd @t41) @t5531) (tptp.hAPP @t2 @t5458))))) % 6.71/6.99 (assume @p4174 (forall @t5539 (= (tptp.hAPP @t5432 @t5538) (tptp.hAPP @t5537 (tptp.hAPP @t5569 @t4928))))) % 6.71/6.99 (assume @p4175 (forall @t164 (= (tptp.hAPP @t5565 @t4583) @t5471))) % 6.71/6.99 (assume @p4176 (forall @t164 (= @t5566 @t5471))) % 6.71/6.99 (assume @p4177 (forall (@list @t1 @t2 @t10 @t41 @t2989) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5555 @t5150 @t4706 @t5534) (tptp.hAPP (tptp.c_List_Omap @t10 @t2989) @t1)) (tptp.hAPP @t5527 @t3483)))) % 6.71/6.99 (assume @p4178 (forall (@list @t4983 @t1 @t2989 @t2 @t10 @t41) (= (tptp.hAPP @t5537 (tptp.hAPP @t5571 @t4983)) (tptp.hAPP @t5570 @t4983)))) % 6.71/6.99 (assume @p4179 (forall (@list @t4928 @t1 @t2989 @t2 @t10 @t41) (= (tptp.hAPP @t5537 (tptp.hAPP @t5571 @t4928)) (tptp.hAPP @t5570 @t4928)))) % 6.71/6.99 (assume @p4180 (forall (@list @t4928 @t1 @t41 @t2 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t2 @t5553) (tptp.c_List_Olist_Olist__size @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_Nat_Onat @t41 @t2) @t1) @t4928)))) % 6.71/6.99 (assume @p4181 (forall @t5564 (=> @t5563 (=> (tptp.c_Fun_Oinj__on @t41 @t10 @t2 (tptp.hAPP (tptp.hAPP @t394 @t5490) @t5170)) @t5037)))) % 6.71/6.99 (assume @p4182 (forall @t5561 (=> @t5572 @t5560))) % 6.71/6.99 (assume @p4183 (forall (@list @t2 @t41 @t4928 @t10 @t115) (=> @t5139 (= (tptp.hAPP (tptp.hAPP @t5154 @t5531) @t115) (tptp.hAPP @t2 @t5138))))) % 6.71/6.99 (assume @p4184 (forall (@list @t1961 @t2 @t41 @t4928 @t97 @t10) (=> (not @t5117) (= (tptp.hAPP (tptp.hAPP @t5527 (tptp.c_Fun_Ofun__upd @t10 @t41 @t2 @t97 @t1961)) @t4928) @t5531)))) % 6.71/6.99 (assume @p4185 (forall @t5552 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5538)) (and (tptp.hBOOL (tptp.hAPP @t5573 @t4928)) (tptp.c_Fun_Oinj__on @t41 @t10 @t2 @t5490))))) % 6.71/6.99 (assume @p4186 (forall @t5097 (=> @t1899 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t1897 @t5180)) (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5565 @t1897) @t4928))))))) % 6.71/6.99 (assume @p4187 (forall @t5552 (=> @t816 (= (tptp.hAPP @t505 @t5556) (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t41 @t505) @t2)) @t4928)))))) % 6.71/6.99 (assume @p4188 (forall @t827 (=> (tptp.c_Fun_Oinj__on @t10 @t41 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 (tptp.hAPP @t5574 @t21))) (tptp.c_Fun_Oinj__on @t4706 @t5150 @t5528 @t21)))) % 6.71/6.99 (assume @p4189 (forall @t1027 (=> @t5529 @t1074))) % 6.71/6.99 (assume @p4190 (forall @t1027 (= @t5529 @t1074))) % 6.71/6.99 (assume @p4191 (forall (@list @t2 @t4928 @t10 @t41) (=> @t2929 (=> @t5242 (= @t5576 (tptp.hAPP @t2915 @t5096)))))) % 6.71/6.99 (assume @p4192 (forall (@list @t4928 @t2727 @t41 @t10) (=> @t222 (= (tptp.hAPP @t5179 (tptp.hAPP (tptp.hAPP @t5536 (tptp.hAPP @t3367 @t2727)) @t4928)) (tptp.hAPP (tptp.hAPP @t1019 (tptp.hAPP @t1258 @t5554)) @t2727))))) % 6.71/6.99 (assume @p4193 (forall (@list @t2 @t4928 @t51 @t10 @t41) (=> @t2929 (=> @t5113 (= @t5576 (tptp.hAPP (tptp.hAPP @t2945 @t53) (tptp.hAPP @t5575 (tptp.hAPP @t5528 @t5263)))))))) % 6.71/6.99 (assume @p4194 (forall @t2864 (=> @t2929 (and (=> @t2064 (= @t5577 (tptp.hAPP @t5575 (tptp.hAPP @t5528 @t5258)))) (=> @t2146 (= @t5577 @t2858)))))) % 6.71/6.99 (assume @p4195 (forall (@list @t4928 @t10 @t227) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t227) @t4929)) (= (tptp.hAPP (tptp.c_Random_Opick @t10 @t5526) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t227)) (tptp.hAPP @t5068 @t227))))) % 6.71/6.99 (assume @p4196 (= @t2721 @t5578)) % 6.71/6.99 (assume @p4197 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t5581 @t5580) @t5579) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1194)))) % 6.71/6.99 (assume @p4198 (forall @t192 (= (= @t5583 @t5582) @t713))) % 6.71/6.99 (assume @p4199 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 6.71/6.99 (assume @p4200 (= @t2724 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1243))) % 6.71/6.99 (assume @p4201 (forall @t192 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3000 @t5583) @t5582)) @t717))) % 6.71/6.99 (assume @p4202 (forall @t1627 (=> (tptp.hBOOL (tptp.hAPP @t1680 @t964)) (=> @t5585 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t51) @t5584) @t98))))) % 6.71/6.99 (assume @p4203 (forall @t5588 (=> @t5587 (= (tptp.hAPP @t5586 @t5159) @t4928)))) % 6.71/6.99 (assume @p4204 (forall @t5588 (=> @t5587 (= (tptp.hAPP @t5589 @t5159) @t4925)))) % 6.71/6.99 (assume @p4205 (= @t2716 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Int_Oint tptp.c_Code__Numeral_Oof__nat) tptp.c_Int_Onat))) % 6.71/6.99 (assume @p4206 (forall (@list @t5048 @t41 @t10) (= (tptp.hAPP (tptp.hAPP @t5157 @t5591) @t5590) @t5048))) % 6.71/6.99 (assume @p4207 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t2998 @t5580) @t5579) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1304)))) % 6.71/6.99 (assume @p4208 (forall @t192 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3002 @t5583) @t5582)) @t190))) % 6.71/6.99 (assume @p4209 (forall @t712 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t5580) @t5579) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t920)))) % 6.71/6.99 (assume @p4210 (forall @t5595 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3000 @t220) @t5594)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t5593 @t220)) @t5592))))) % 6.71/6.99 (assume @p4211 (forall (@list @t5048 @t4925 @t41 @t4928 @t10) (=> @t5587 (= (= @t5159 @t5048) (and (= @t5591 @t4928) (= @t5590 @t4925)))))) % 6.71/6.99 (assume @p4212 (forall @t5596 (= @t5133 (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t5187 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 tptp.tc_Nat_Onat) @t2) @t4928))) @t4929)))) % 6.71/6.99 (assume @p4213 (forall @t1784 (= (not (= @t220 @t5578)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3002 @t2724) @t220))))) % 6.71/6.99 (assume @p4214 (forall (@list @t227 @t151 @t2 @t10) (=> @t2924 (= (tptp.hAPP @t5179 (tptp.hAPP @t5598 @t5597)) (tptp.hAPP @t3639 (tptp.hAPP @t5178 @t5597)))))) % 6.71/6.99 (assume @p4215 (forall (@list @t902 @t220 @t2 @t10) (=> @t2924 (= (tptp.hAPP @t3639 @t5182) (tptp.hAPP @t5179 (tptp.hAPP @t5598 @t5181)))))) % 6.71/6.99 (assume @p4216 (forall @t5599 (=> (tptp.hBOOL (tptp.hAPP @t4016 @t5594)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 (tptp.hAPP @t5314 (tptp.hAPP @t5008 @t3975))) @t5592))))) % 6.71/6.99 (assume @p4217 (forall @t5097 (= @t5008 (tptp.hAPP (tptp.hAPP @t5602 (tptp.c_Random_Orange @t5594)) (tptp.hAPP @t5601 @t5593))))) % 6.71/6.99 (assume @p4218 (forall @t5097 (= @t5313 (tptp.hAPP (tptp.hAPP @t5602 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t4929))) (tptp.hAPP @t5601 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Code__Numeral_Ocode__numeral) @t5068) tptp.c_Code__Numeral_Onat__of)))))) % 6.71/6.99 (assume @p4219 (forall (@list @t1 @t2 @t4928 @t10 @t41) (=> (and @t5603 @t2980) (=> (forall @t7 (=> @t5130 @t44)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t5576) (tptp.hAPP @t5575 (tptp.hAPP (tptp.hAPP @t5527 @t1) @t4928)))))))) % 6.71/6.99 (assume @p4220 (forall @t1758 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t30)) @t30))) % 6.71/6.99 (assume @p4221 (forall @t1596 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5604) @t208))) % 6.71/6.99 (assume @p4222 (forall @t180 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5580) @t176))) % 6.71/6.99 (assume @p4223 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t5581 @t176) @t193) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1028 @t5606) @t5605))))) % 6.71/6.99 (assume @p4224 (forall @t1606 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t151) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t227)) @t2597))) % 6.71/6.99 (assume @p4225 (forall @t1627 (= (= @t5607 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t97)) @t98))) % 6.71/6.99 (assume @p4226 (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 @t964)) % 6.71/6.99 (assume @p4227 (forall @t192 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3000 @t115) @t181)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5609) @t5608))))) % 6.71/6.99 (assume @p4228 (forall @t1855 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1003 @t5607) @t964)))) % 6.71/6.99 (assume @p4229 (forall @t1596 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t2716 @t208)) (tptp.hAPP @t1861 @t208)))) % 6.71/6.99 (assume @p4230 (= 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 @t1511) tptp.c_Code__Numeral_Onat__of))) % 6.71/6.99 (assume @p4231 (forall @t192 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3002 @t115) @t181)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5609) @t5608))))) % 6.71/6.99 (assume @p4232 (forall @t1823 (= @t5610 (tptp.c_Code__Numeral_Onat__of__aux @t209 @t890)))) % 6.71/6.99 (assume @p4233 (forall @t959 (= @t2849 (tptp.hAPP (tptp.hAPP @t1248 @t5610) @t176)))) % 6.71/6.99 (assume @p4234 (forall @t1596 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t208) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t5604))))) % 6.71/6.99 (assume @p4235 (forall @t712 (= @t3091 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t911 @t5606) @t5605))))) % 6.71/6.99 (assume @p4236 (forall @t4330 (=> @t5585 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t5584) @t97)))) % 6.71/6.99 (assume @p4237 (forall @t712 (= (tptp.hAPP (tptp.hAPP @t2998 @t176) @t193) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1248 @t5606) @t5605))))) % 6.71/6.99 (assume @p4238 (forall @t712 (= @t3823 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t2405 @t5606) @t5605))))) % 6.71/6.99 (assume @p4239 (forall @t712 (= @t3822 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t5606 @t5605))))) % 6.71/6.99 (assume @p4240 (forall @t1596 (=> (not (= @t208 @t5578)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP (tptp.hAPP @t911 @t5604) @t936)) @t5604))))) % 6.71/6.99 (assume @p4241 (forall (@list @t220 @t5611) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t5611) @t220) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t5611 (tptp.hAPP (tptp.hAPP @t5581 (tptp.hAPP @t2716 @t2632)) @t220)))))) % 6.71/6.99 (assume @p4242 (forall @t5618 (=> @t5617 (= (tptp.hAPP (tptp.hAPP @t269 @t5615) @t5613) @t5096)))) % 6.71/6.99 (assume @p4243 (forall @t5618 (=> @t5617 (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 @t5615)) @t168)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 @t5613)) @t4412)))))) % 6.71/6.99 (assume @p4244 (forall @t4027 (= (tptp.c_List_Opartition @t10 @t60 @t5267) @t5293))) % 6.71/6.99 (assume @p4245 (forall @t5621 (= (tptp.c_List_Opartition @t10 @t60 @t4992) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4706 @t4706 @t4713) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4706 @t4944 @t4944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5620 (tptp.tc_fun @t4944 @t4944) @t4706) (tptp.c_COMBS @t4706 @t4713 @t4713)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4944 @t5620 @t4706) (tptp.hAPP (tptp.c_COMBB @t4713 @t5619 @t4706) (tptp.hAPP (tptp.c_If @t4713) @t62))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4706 @t4944 @t4706) @t4930) @t4991)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t4998 @t4944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4944 (tptp.tc_fun @t4998 @t4944) @t4706) (tptp.c_COMBB @t4706 @t4713 @t4706)) @t4930)) @t4991))) @t5616)))) % 6.71/6.99 (assume @p4246 (forall @t29 (= @t5623 (tptp.hAPP (tptp.hAPP @t5622 (tptp.hAPP @t4997 @t5060)) (tptp.hAPP @t4997 @t5062))))) % 6.71/6.99 (assume @p4247 (forall (@list @t20 @t21 @t227 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5624 @t5060)) (=> (tptp.hBOOL (tptp.hAPP @t5624 @t5062)) (tptp.hBOOL (tptp.hAPP @t5623 @t227)))))) % 6.71/6.99 (assume @p4248 (forall @t55 (tptp.hBOOL (tptp.hAPP @t5625 @t5267)))) % 6.71/6.99 (assume @p4249 (forall (@list @t4928 @t21 @t10) (= @t5626 (forall @t7 (=> @t5130 @t3484))))) % 6.71/6.99 (assume @p4250 (forall @t318 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 @t21)) @t20)) @t51)) (and (tptp.hBOOL (tptp.hAPP @t5625 @t51)) (tptp.hBOOL (tptp.hAPP @t5627 @t51)))))) % 6.71/6.99 (assume @p4251 (forall (@list @t20 @t227 @t21 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5625 @t227)) (=> (tptp.hBOOL (tptp.hAPP @t5627 @t227)) (tptp.hBOOL (tptp.hAPP @t5628 @t227)))))) % 6.71/6.99 (assume @p4252 (forall @t29 (= @t5628 (tptp.hAPP (tptp.hAPP @t5622 @t5625) @t5627)))) % 6.71/6.99 (assume @p4253 (forall (@list @t937 @t938 @t21 @t10) (= (tptp.hBOOL (tptp.hAPP @t5625 (tptp.hAPP @t5056 @t937))) (and (tptp.hBOOL (tptp.hAPP @t21 @t938)) (tptp.hBOOL (tptp.hAPP @t5625 @t937)))))) % 6.71/6.99 (assume @p4254 (forall (@list @t4925 @t4928 @t21 @t10) (= (tptp.hBOOL (tptp.hAPP @t5625 @t5362)) (and @t5626 (tptp.hBOOL (tptp.hAPP @t5625 @t4925)))))) % 6.71/6.99 (assume @p4255 (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5063 @t5625) @t5627))))) % 6.71/6.99 (assume @p4256 (forall @t746 (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp @t10 @t3621) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t51) @t5060))))) % 6.71/6.99 (assume @p4257 (forall @t5320 (= (tptp.c_Enum_Oproduct @t10 @t41 @t4992 @t4925) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2097) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t41 @t2097) @t3304) @t4925)) @t5629)))) % 6.71/6.99 (assume @p4258 (forall @t5633 (= @t5632 (and @t5587 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5631 @t5161)) @t5630)))))) % 6.71/6.99 (assume @p4259 (forall (@list @t5634 @t2 @t2989 @t5523 @t60 @t41 @t10) (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5523 (tptp.hAPP @t5534 @t5634)) (tptp.c_List_Olist__all2 @t10 @t2989 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3504 @t3215) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 (tptp.tc_fun @t3504 @t3215) @t10) (tptp.c_COMBB @t41 tptp.tc_HOL_Obool @t2989)) @t60)) @t2) @t5523 @t5634)))) % 6.71/6.99 (assume @p4260 (forall (@list @t5634 @t5523 @t2 @t2989 @t60 @t41 @t10) (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 (tptp.hAPP @t5544 @t5523) @t5634) (tptp.c_List_Olist__all2 @t2989 @t41 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t393 @t2989) @t60) @t2) @t5523 @t5634)))) % 6.71/6.99 (assume @p4261 (forall (@list @t115 @t5634 @t5523 @t60 @t41 @t10) (=> (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5523 @t5634) (tptp.c_List_Olist__all2 @t10 @t41 @t60 (tptp.hAPP @t5432 @t5523) (tptp.hAPP @t5569 @t5634))))) % 6.71/6.99 (assume @p4262 (forall (@list @t289 @t291 @t248 @t173 @t60 @t41 @t10) (=> @t5635 (=> (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t291 @t289) (tptp.c_List_Olist__all2 @t10 @t41 @t60 (tptp.hAPP (tptp.hAPP @t5341 @t173) @t291) (tptp.hAPP (tptp.hAPP @t5483 @t248) @t289)))))) % 6.71/6.99 (assume @p4263 (forall (@list @t5396 @t5397 @t60 @t4925 @t41 @t4928 @t10) (=> @t5587 (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5398 (tptp.hAPP (tptp.hAPP @t5483 @t4925) @t5396)) (and @t5632 (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5397 @t5396)))))) % 6.71/6.99 (assume @p4264 (forall (@list @t4925 @t97 @t4928 @t51 @t60 @t41 @t10) (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t4992 @t5329) (and @t3770 @t5632)))) % 6.71/6.99 (assume @p4265 (forall (@list @t115 @t4925 @t4928 @t60 @t41 @t10) (=> @t5632 (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5107 (tptp.hAPP @t5568 @t4925))))) % 6.71/6.99 (assume @p4266 (forall @t5076 (= @t5037 (tptp.c_List_Olist__all2 @t10 @t10 tptp.c_fequal @t4928 @t4925)))) % 6.71/6.99 (assume @p4267 (forall @t5633 (=> @t5632 @t5587))) % 6.71/6.99 (assume @p4268 (forall (@list @t4925 @t60 @t41 @t10) (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5267 @t4925) (= @t4925 @t5324)))) % 6.71/6.99 (assume @p4269 (forall (@list @t4928 @t60 @t41 @t10) (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t4928 @t5324) @t5268))) % 6.71/6.99 (assume @p4270 (forall (@list @t5636 @t10 @t31) (= (tptp.c_Enum_Oproduct @t31 @t10 @t5266 @t5636) @t5288))) % 6.71/6.99 (assume @p4271 (forall @t5633 (= @t5632 (and @t5587 (forall @t905 (=> @t5075 (tptp.hBOOL (tptp.hAPP @t5126 (tptp.hAPP @t5155 @t898))))))))) % 6.71/6.99 (assume @p4272 (forall @t5639 (=> @t5632 (=> (tptp.hBOOL (tptp.hAPP @t5638 @t4929)) @t5637)))) % 6.71/6.99 (assume @p4273 (forall @t5639 (=> @t5632 (=> (tptp.hBOOL (tptp.hAPP @t5638 @t5152)) @t5637)))) % 6.71/6.99 (assume @p4274 (forall (@list @t97 @t51 @t4925 @t60 @t41 @t4928 @t10 @t220) (=> @t5237 (=> @t5632 (=> @t3770 @t5640))))) % 6.71/6.99 (assume @p4275 (forall (@list @t220 @t97 @t51 @t4925 @t4928 @t60 @t41 @t10) (=> @t5632 (=> @t3770 (=> (tptp.hBOOL (tptp.hAPP @t1465 @t5152)) @t5640))))) % 6.71/6.99 (assume @p4276 (forall @t5249 (=> @t5247 (=> (tptp.hBOOL (tptp.hAPP @t5240 @t4934)) (tptp.hBOOL (tptp.hAPP @t5248 (tptp.c_Enum_Oproduct @t31 @t10 @t4935 @t4934))))))) % 6.71/6.99 (assume @p4277 (forall @t5162 (= (tptp.hAPP @t5160 @t5629) (tptp.hAPP (tptp.hAPP @t4374 @t5096) (tptp.hAPP @t3475 @t5170))))) % 6.71/6.99 (assume @p4278 (forall @t5097 (= (tptp.hAPP @t5574 (tptp.hAPP @t5642 @t5641)) (tptp.hAPP @t224 @t5096)))) % 6.71/6.99 (assume @p4279 (forall @t5239 (= (tptp.hAPP @t5643 (tptp.c_Enum_Osublists @t31 @t4935)) (tptp.hAPP @t2489 @t4940)))) % 6.71/6.99 (assume @p4280 (forall @t471 (= (tptp.c_Enum_Osublists @t31 @t5266) @t5647))) % 6.71/6.99 (assume @p4281 (forall @t5011 (= (tptp.c_Enum_Osublists @t10 @t4992) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet @t5648 @t5648) @t5641) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5648 @t5648 @t5648) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5648 (tptp.tc_fun @t5648 @t5648) @t5648) (tptp.c_List_Oappend @t4706)) (tptp.hAPP @t5649 @t4991))) (tptp.c_COMBI @t5648)))))) % 6.71/6.99 (assume @p4282 (forall @t5097 (=> @t5242 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t23) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4706 @t23) @t5094) @t5641)))))) % 6.71/6.99 (assume @p4283 (forall @t5109 (= @t5651 (tptp.hAPP @t5004 (tptp.hAPP (tptp.hAPP @t4957 (tptp.hAPP @t4954 @t5144)) (tptp.hAPP @t5142 @t5096)))))) % 6.71/6.99 (assume @p4284 (forall @t4027 (= (tptp.c_Enum_Oenum__the @t10 @t60) @t5652))) % 6.71/6.99 (assume @p4285 (forall @t5105 (=> @t5247 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4937) @t5653))))) % 6.71/6.99 (assume @p4286 (forall (@list @t31 @t176) (and (=> @t968 (= @t5654 @t5647)) (=> @t969 (= @t5654 @t5644))))) % 6.71/6.99 (assume @p4287 (forall @t5239 (= (tptp.c_Enum_On__lists @t31 @t890 @t4935) @t5647))) % 6.71/6.99 (assume @p4288 (forall @t5121 (= (tptp.hAPP @t5643 @t5653) (tptp.hAPP (tptp.hAPP @t2477 @t4940) @t176)))) % 6.71/6.99 (assume @p4289 (forall (@list @t4928 @t115 @t4925 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5361 @t5651)) @t4927))) % 6.71/6.99 (assume @p4290 (forall (@list @t60 @t248 @t173 @t41 @t10) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5631 (tptp.hAPP @t5160 (tptp.hAPP (tptp.hAPP @t5157 @t173) @t248)))) @t5630)) (=> @t5656 @t5635)))) % 6.71/6.99 (assume @p4291 (forall (@list @t51 @t60 @t4928 @t10) (=> @t5129 (=> @t5113 @t63)))) % 6.71/6.99 (assume @p4292 (forall @t5487 (=> @t3025 (= @t5486 (tptp.hAPP @t5485 @t5657))))) % 6.71/6.99 (assume @p4293 (forall @t5661 (=> (tptp.c_Fun_Oinj__on @t10 @t41 @t2 @t5124) @t5660))) % 6.71/6.99 (assume @p4294 (forall @t5239 (tptp.hBOOL (tptp.hAPP @t5246 @t5662)))) % 6.71/6.99 (assume @p4295 (forall @t5239 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t4938 @t5662)) @t4940)))) % 6.71/6.99 (assume @p4296 (forall @t5239 (=> @t5247 (= @t5662 @t4935)))) % 6.71/6.99 (assume @p4297 (forall @t5276 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5664))))) % 6.71/6.99 (assume @p4298 (forall @t5097 (= @t5665 @t5242))) % 6.71/6.99 (assume @p4299 (forall @t5097 (= (tptp.hAPP @t5094 @t5657) @t5096))) % 6.71/6.99 (assume @p4300 (forall @t5097 (= (= @t5666 @t4929) @t5665))) % 6.71/6.99 (assume @p4301 (forall @t5239 (= (tptp.c_List_Oremdups @t31 @t5662) @t5662))) % 6.71/6.99 (assume @p4302 (forall @t204 (= (= @t5668 @t5267) @t5667))) % 6.71/6.99 (assume @p4303 (forall @t35 (= (tptp.hAPP @t5663 @t5266) @t5266))) % 6.71/6.99 (assume @p4304 (forall @t204 (= (= @t5267 @t5668) @t5667))) % 6.71/6.99 (assume @p4305 (forall @t471 (= (tptp.c_List_Oremdups @t31 @t5266) @t5266))) % 6.71/6.99 (assume @p4306 (forall @t5282 (and (=> @t76 (= @t5669 @t5664)) (=> @t641 (= @t5669 (tptp.hAPP @t5226 @t5664)))))) % 6.71/6.99 (assume @p4307 (forall @t5357 (= (tptp.hAPP @t5663 @t5356) (tptp.hAPP (tptp.hAPP @t5354 @t5664) (tptp.hAPP @t5663 @t4934))))) % 6.71/6.99 (assume @p4308 (forall @t5552 (= (tptp.c_List_Oremdups @t10 (tptp.hAPP @t5537 (tptp.c_List_Oremdups @t41 @t4928))) (tptp.c_List_Oremdups @t10 @t5538)))) % 6.71/6.99 (assume @p4309 (forall @t5276 (=> @t5247 (= (tptp.c_List_Oremove1 @t31 @t30 @t5662) (tptp.c_List_Oremdups @t31 @t5275))))) % 6.71/6.99 (assume @p4310 (forall @t5011 (=> @t5114 (= @t5659 @t4928)))) % 6.71/6.99 (assume @p4311 (forall @t5276 (=> @t5247 (= @t5275 @t5664)))) % 6.71/6.99 (assume @p4312 (forall @t5011 (and (=> @t5113 (= @t5670 @t5657)) (=> @t5114 (= @t5670 (tptp.hAPP @t4991 @t5657)))))) % 6.71/6.99 (assume @p4313 (forall @t5097 (= @t5666 @t5125))) % 6.71/6.99 (assume @p4314 (forall @t5661 (=> @t1074 @t5660))) % 6.71/6.99 (assume @p4315 (forall @t5011 (= (tptp.hAPP @t5094 @t5659) @t5262))) % 6.71/6.99 (assume @p4316 (forall @t5675 (= (tptp.hAPP @t4923 (tptp.c_List_Oremdups @t10 @t5674)) (tptp.hAPP @t1960 (tptp.hAPP (tptp.hAPP @t5673 @t5672) @t5094))))) % 6.71/6.99 (assume @p4317 (forall @t5097 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t5096) (tptp.c_List_Olinorder__class_Osort__key @t10 @t10 @t3387 @t5657))))) % 6.71/6.99 (assume @p4318 (forall @t258 (=> @t3066 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t41 @t2 @t5267) @t5267)))) % 6.71/6.99 (assume @p4319 (forall (@list @t5671 @t4928 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4706 @t4706 @t5341 @t4928) @t5671) (tptp.hAPP @t5352 @t5674)))) % 6.71/6.99 (assume @p4320 (forall @t5675 (= @t5674 (tptp.hAPP (tptp.c_List_Ofoldl @t4706 @t4706 @t5341 @t5267) @t5671)))) % 6.71/6.99 (assume @p4321 (forall @t5540 (=> @t3066 (= (tptp.hAPP @t4923 @t5676) @t4929)))) % 6.71/6.99 (assume @p4322 (forall @t5540 (=> @t3066 (= (tptp.hAPP @t5094 @t5676) @t5096)))) % 6.71/6.99 (assume @p4323 (forall @t5540 (=> @t3066 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5676)) @t5242)))) % 6.71/6.99 (assume @p4324 (forall @t471 (= (tptp.c_List_Oconcat @t31 @t5644) @t5266))) % 6.71/6.99 (assume @p4325 (forall @t4981 (= (tptp.c_List_Oconcat @t31 (tptp.hAPP (tptp.hAPP @t5645 @t30) @t4935)) (tptp.hAPP (tptp.hAPP @t5354 @t30) @t5677)))) % 6.71/6.99 (assume @p4326 (forall @t5675 (= (= @t5674 @t5267) @t5680))) % 6.71/6.99 (assume @p4327 (forall @t5675 (= (= @t5267 @t5674) @t5680))) % 6.71/6.99 (assume @p4328 (forall @t5540 (= (tptp.hAPP @t5537 (tptp.c_List_Oconcat @t41 @t4928)) (tptp.c_List_Oconcat @t10 @t5682)))) % 6.71/6.99 (assume @p4329 (forall @t5675 (= (tptp.hAPP @t4923 @t5674) (tptp.hAPP @t5187 (tptp.hAPP @t5683 @t5671))))) % 6.71/6.99 (assume @p4330 (forall @t5097 (= (tptp.hAPP @t5094 @t5685) (tptp.hAPP (tptp.hAPP @t5673 @t5684) @t5094)))) % 6.71/6.99 (assume @p4331 (forall @t5507 (=> @t3066 (= (tptp.c_List_Olinorder__class_Osort__key @t10 @t41 @t2 @t4992) (tptp.hAPP @t5496 @t5676))))) % 6.71/6.99 (assume @p4332 (forall @t4941 (= (tptp.c_List_Oconcat @t31 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t4937) @t4935) @t4934)) (tptp.hAPP (tptp.hAPP @t5354 @t5677) (tptp.c_List_Oconcat @t31 @t4934))))) % 6.71/6.99 (assume @p4333 (forall @t5097 (=> @t120 (= @t5686 (tptp.hAPP (tptp.c_List_Ofoldl @t4706 @t10 (tptp.hAPP @t5307 @t5492) @t5267) @t4928))))) % 6.71/6.99 (assume @p4334 (forall @t5377 (=> @t5691 (=> @t5690 (= @t5687 @t5037))))) % 6.71/6.99 (assume @p4335 (forall @t5377 (=> @t5687 (=> @t5690 (=> @t5691 @t5037))))) % 6.71/6.99 (assume @p4336 (forall @t5552 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5692 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t4706 @t4706) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t4998 @t41) @t4972) @t2)) @t5267)) @t4928)) @t5538))) % 6.71/6.99 (assume @p4337 (forall @t5109 (= (tptp.c_Enum_On__lists @t10 @t116 @t4928) (tptp.c_List_Oconcat @t4706 (tptp.hAPP (tptp.hAPP @t5694 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4706 @t4706 @t5648) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t4706) @t5693 @t4706) (tptp.c_List_Omap @t10 @t4706)) @t5308)) @t4928)) @t5650))))) % 6.71/6.99 (assume @p4338 (forall @t5701 @t5700)) % 6.71/6.99 (assume @p4339 (forall @t5675 (= @t5698 (tptp.hAPP (tptp.hAPP @t5705 @t5457) @t5704)))) % 6.71/6.99 (assume @p4340 (forall @t5707 (= (tptp.hAPP @t5706 @t5685) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5649 @t5706) @t4928))))) % 6.71/6.99 (assume @p4341 (forall (@list @t4928 @t2 @t60 @t10 @t41) (=> @t3066 (= (tptp.hAPP @t5708 @t5676) (tptp.c_List_Olinorder__class_Osort__key @t10 @t41 @t2 @t5709))))) % 6.71/6.99 (assume @p4342 (forall @t5132 (=> @t5242 (tptp.hBOOL (tptp.hAPP @t5240 @t5709))))) % 6.71/6.99 (assume @p4343 (forall @t5711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t5710) @t5096)))) % 6.71/6.99 (assume @p4344 (forall @t5711 (= (= @t5709 @t4928) @t5131))) % 6.71/6.99 (assume @p4345 (forall @t5711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5712) @t4929)))) % 6.71/6.99 (assume @p4346 (forall @t5711 (= (tptp.hAPP (tptp.hAPP @t1248 @t5712) (tptp.hAPP @t4923 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t4419) @t4928))) @t4929))) % 6.71/6.99 (assume @p4347 (forall (@list @t4928 @t57 @t60 @t10) (= (tptp.hAPP @t5708 @t5714) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 @t57)) @t60)) @t4928)))) % 6.71/6.99 (assume @p4348 (forall (@list @t4928 @t51 @t57 @t10) (= (tptp.hAPP @t5713 @t5263) (tptp.c_List_Oremove1 @t10 @t51 @t5714)))) % 6.71/6.99 (assume @p4349 (forall @t5716 (=> @t5715 (= (tptp.c_List_Oremove1 @t10 @t51 @t5709) @t5709)))) % 6.71/6.99 (assume @p4350 (forall (@list @t4928 @t2 @t10 @t51 @t60 @t41) (=> @t3066 (=> @t5715 (= (tptp.hAPP @t5708 @t5506) @t5709))))) % 6.71/6.99 (assume @p4351 (forall @t5711 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4706 @t4706) @t5616) @t5709))) % 6.71/6.99 (assume @p4352 (forall @t5711 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4706 @t4706) @t5616) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5717 @t60)) @t4928)))) % 6.71/6.99 (assume @p4353 (forall @t5596 (= (tptp.c_List_Opartition @t10 @t2 @t4928) (tptp.hAPP (tptp.hAPP @t4930 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t2) @t4928)) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t5717 @t2)) @t4928))))) % 6.71/6.99 (assume @p4354 (forall @t5721 (= @t5720 (tptp.hAPP @t5537 @t5719)))) % 6.71/6.99 (assume @p4355 (forall @t4027 (= (tptp.hAPP @t5708 @t5267) @t5267))) % 6.71/6.99 (assume @p4356 (forall @t471 (= (tptp.c_List_Otranspose @t31 @t5644) @t5644))) % 6.71/6.99 (assume @p4357 (forall @t5716 (and (=> @t63 (= @t5722 (tptp.hAPP @t4991 @t5709))) (=> @t5715 (= @t5722 @t5709))))) % 6.71/6.99 (assume @p4358 (forall @t5724 (= (tptp.hAPP @t5708 @t5362) (tptp.hAPP (tptp.hAPP @t5341 @t5709) @t5723)))) % 6.71/6.99 (assume @p4359 (forall @t5711 (= (= @t5709 @t5267) (forall @t7 (=> @t5130 @t4412))))) % 6.71/6.99 (assume @p4360 (forall @t5721 (= (tptp.hAPP @t4923 @t5720) (tptp.hAPP @t5151 @t5719)))) % 6.71/6.99 (assume @p4361 (forall @t204 (= @t5658 (tptp.c_List_Ofilter @t10 (tptp.hAPP @t4418 @t4334))))) % 6.71/6.99 (assume @p4362 (forall @t5711 (= (tptp.c_List_Oremdups @t10 @t5709) (tptp.hAPP @t5708 @t5657)))) % 6.71/6.99 (assume @p4363 (forall @t5716 (=> @t5715 (= (tptp.hAPP @t5658 @t5709) @t5709)))) % 6.71/6.99 (assume @p4364 (forall (@list @t5725 @t31) (= (tptp.c_List_Otranspose @t31 (tptp.hAPP @t5646 @t5725)) (tptp.c_List_Otranspose @t31 @t5725)))) % 6.71/6.99 (assume @p4365 (forall @t5595 (=> @t5733 (= @t5731 (tptp.hAPP @t5728 @t5727))))) % 6.71/6.99 (assume @p4366 (forall @t5552 (= (tptp.c_List_Otranspose @t10 @t5682) (tptp.hAPP @t5681 (tptp.c_List_Otranspose @t41 @t4928))))) % 6.71/6.99 (assume @p4367 (forall @t5711 (= @t5710 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4206 (tptp.hAPP @t3275 @t5096))) @t60))))) % 6.71/6.99 (assume @p4368 (forall (@list @t60 @t4928 @t51 @t10) (=> @t5113 (=> @t5715 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5712) @t4929)))))) % 6.71/6.99 (assume @p4369 (forall @t5734 (= (tptp.hAPP @t5241 @t2193) (tptp.hAPP @t5094 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t4418 (tptp.hAPP @t3580 @t97))) @t4928))))) % 6.71/6.99 (assume @p4370 (forall @t5599 (=> @t5242 (= (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t3275 (tptp.hAPP @t5094 @t5735))) @t4928) @t5735)))) % 6.71/6.99 (assume @p4371 (forall @t5097 (= (= @t5729 @t5695) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5679 @t5684)) @t5678))))) % 6.71/6.99 (assume @p4372 (forall @t5707 (= (tptp.hAPP @t4923 (tptp.hAPP @t5706 @t4928)) (tptp.hAPP @t2128 (tptp.hAPP @t4382 (tptp.hAPP @t4964 (tptp.hAPP (tptp.hAPP @t5088 @t2934) @t5068))))))) % 6.71/6.99 (assume @p4373 (forall @t5675 (= @t5697 (tptp.hAPP (tptp.hAPP @t5649 @t5474) @t5704)))) % 6.71/6.99 (assume @p4374 (forall @t5701 (=> (tptp.hBOOL (tptp.hAPP @t5736 @t5699)) @t5700))) % 6.71/6.99 (assume @p4375 (forall @t5675 (=> (tptp.hBOOL (tptp.hAPP @t5736 @t5737)) (= (tptp.c_List_Otranspose @t10 @t5737) (tptp.c_List_Otranspose @t10 @t5671))))) % 6.71/6.99 (assume @p4376 (forall (@list @t5738 @t4928 @t60 @t10) (= (tptp.hAPP @t5744 (tptp.hAPP (tptp.c_List_Ofilter @t5742 (tptp.hAPP @t5743 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5742) tptp.c_Nat_OSuc) @t5741))) (tptp.hAPP @t5740 @t5738))) (tptp.hAPP @t5744 (tptp.hAPP (tptp.c_List_Ofilter @t5742 (tptp.hAPP @t5743 @t5741)) (tptp.hAPP @t5740 (tptp.hAPP @t5739 @t5738))))))) % 6.71/6.99 (assume @p4377 (forall @t5097 (= (tptp.c_Random_Oselect__weight @t10 @t5745) @t5008))) % 6.71/6.99 (assume @p4378 (forall @t5097 (= (tptp.c_Random_Opick @t10 @t5745) @t5593))) % 6.71/6.99 (assume @p4379 (forall @t164 (=> (tptp.hBOOL (tptp.hAPP @t5736 @t5695)) (= (tptp.c_List_Otranspose @t10 @t5695) @t5695)))) % 6.71/6.99 (assume @p4380 (forall @t5097 (= (tptp.c_List_Ofoldr @t4706 tptp.tc_Nat_Onat @t5746 @t5729 @t890) (tptp.hAPP @t5688 (tptp.hAPP @t5703 @t4928))))) % 6.71/6.99 (assume @p4381 (forall (@list @t5671 @t41 @t4928 @t10) (= (tptp.hAPP (tptp.hAPP @t3157 @t5505) (tptp.c_List_Ofoldr @t5150 tptp.tc_Nat_Onat (tptp.hAPP @t5748 @t5151) @t5671 @t890)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t3157 @t4929) (tptp.c_List_Ofoldr @t5150 tptp.tc_Nat_Onat (tptp.hAPP @t5748 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5150 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t5747 @t911) @t5151)) @t936)) (tptp.hAPP (tptp.c_List_Ofilter @t5150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5150) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5150 @t5150 tptp.tc_HOL_Obool) tptp.c_fequal) @t5324))) @t5671) @t890)))))) % 6.71/6.99 (assume @p4382 (forall (@list @t173 @t2 @t10 @t41) (= (tptp.c_List_Ofoldr @t41 @t10 @t2 @t5324 @t173) @t173))) % 6.71/6.99 (assume @p4383 (forall (@list @t173 @t4928 @t51 @t2 @t10 @t41) (= (tptp.c_List_Ofoldr @t41 @t10 @t2 @t5481 @t173) (tptp.hAPP @t53 @t5749)))) % 6.71/6.99 (assume @p4384 (forall (@list @t173 @t4925 @t4928 @t2 @t10 @t41) (= (tptp.c_List_Ofoldr @t41 @t10 @t2 @t5484 @t173) (tptp.c_List_Ofoldr @t41 @t10 @t2 @t4928 (tptp.c_List_Ofoldr @t41 @t10 @t2 @t4925 @t173))))) % 6.71/6.99 (assume @p4385 (forall (@list @t173 @t4928 @t10) (=> (tptp.class_Groups_Oab__semigroup__add @t10) (= (tptp.c_List_Ofoldr @t10 @t10 @t1313 @t4928 @t173) @t5750)))) % 6.71/6.99 (assume @p4386 (forall (@list @t173 @t4928 @t2 @t2989 @t1 @t10 @t41) (= (tptp.c_List_Ofoldr @t41 @t10 @t1 @t5535 @t173) (tptp.c_List_Ofoldr @t2989 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t3362 @t2989 @t1) @t2) @t4928 @t173)))) % 6.71/6.99 (assume @p4387 (forall @t5752 (=> @t5479 (= @t5750 (tptp.hAPP @t1319 @t5751))))) % 6.71/6.99 (assume @p4388 (forall @t5097 (=> @t5479 (= (tptp.hAPP @t5478 @t4928) @t5751)))) % 6.71/6.99 (assume @p4389 (forall @t5097 (= @t5732 (tptp.c_List_Ofoldr @t4706 tptp.tc_Nat_Onat @t5746 @t4928 @t890)))) % 6.71/6.99 (assume @p4390 (forall @t5136 (= (tptp.c_List_Osublist @t10 @t4928 @t21) (tptp.hAPP @t5744 (tptp.hAPP @t5757 @t5754))))) % 6.71/6.99 (assume @p4391 (forall (@list @t220 @t4928 @t21 @t10) (= (tptp.hAPP @t5744 (tptp.hAPP @t5757 (tptp.hAPP @t5740 (tptp.c_List_Oupt @t220 (tptp.hAPP @t1462 @t4929))))) (tptp.hAPP @t5744 (tptp.hAPP (tptp.c_List_Ofilter @t5742 (tptp.hAPP (tptp.hAPP @t5756 (tptp.hAPP @t5755 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5742 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 @t5742) @t1248) @t5741)) @t220))) @t21)) @t5754))))) % 6.71/6.99 (assume @p4392 (forall @t983 (= @t982 @t5759))) % 6.71/6.99 (assume @p4393 (forall @t983 (= @t5759 @t982))) % 6.71/6.99 (assume @p4394 (forall @t1379 (and @t5766 (=> (not @t213) (= @t5761 @t5760))))) % 6.71/6.99 (assume @p4395 (forall @t1379 @t5766)) % 6.71/6.99 (assume @p4396 (forall @t214 (=> @t213 (= (tptp.c_List_Oupt @t209 @t1386) (tptp.hAPP @t5765 (tptp.c_List_Oupt @t211 @t1386)))))) % 6.71/6.99 (assume @p4397 (forall @t1379 (and @t5768 (=> (not @t710) @t5767)))) % 6.71/6.99 (assume @p4398 (forall @t1379 @t5768)) % 6.71/6.99 (assume @p4399 (forall @t983 (= (= @t5758 @t5760) (or (= @t902 @t890) @t1256)))) % 6.71/6.99 (assume @p4400 (forall @t1382 (=> @t1504 @t5767))) % 6.71/6.99 (assume @p4401 (forall @t1823 (= (tptp.c_List_Oupt @t209 @t890) @t5760))) % 6.71/6.99 (assume @p4402 (forall @t2482 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t1460) @t176)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t193) (tptp.c_List_Oupt @t209 @t176)) (tptp.c_List_Oupt @t209 @t1460))))) % 6.71/6.99 (assume @p4403 (forall @t187 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t780) @t5769))) % 6.71/6.99 (assume @p4404 (forall @t1379 (=> @t710 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t5763) @t209)))) % 6.71/6.99 (assume @p4405 (forall (@list @t211 @t209 @t193) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t193) @t5763) (tptp.c_List_Oupt @t1460 @t211)))) % 6.71/6.99 (assume @p4406 (forall @t1379 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t5763)))) % 6.71/6.99 (assume @p4407 (forall @t1379 (= (tptp.hAPP @t5193 @t5763) @t1506))) % 6.71/6.99 (assume @p4408 (forall @t197 (and (=> @t5773 (= @t5772 (tptp.hAPP (tptp.hAPP @t5762 @t5771) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t5771) @t5770)))) (=> (not @t5773) (= @t5772 @t5760))))) % 6.71/6.99 (assume @p4409 (forall (@list @t4928 @t51 @t902 @t220) (= (= @t5758 (tptp.hAPP (tptp.hAPP @t5762 @t51) @t4928)) (and (tptp.hBOOL (tptp.hAPP @t1465 @t902)) (= @t220 @t51) (= (tptp.c_List_Oupt (tptp.hAPP @t1462 @t1243) @t902) @t4928))))) % 6.71/6.99 (assume @p4410 (forall @t1379 (=> @t710 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t5763) (tptp.hAPP @t948 @t1243))))) % 6.71/6.99 (assume @p4411 (forall @t187 (= (tptp.hAPP @t5739 @t5769) (tptp.c_List_Oupt @t191 @t116)))) % 6.71/6.99 (assume @p4412 (forall @t192 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t115 @t181) (tptp.hAPP @t5184 (tptp.c_List_Oupt @t115 @t191))))) % 6.71/6.99 (assume @p4413 (forall @t973 (= @t977 (tptp.hAPP @t5184 @t5774)))) % 6.71/6.99 (assume @p4414 (forall (@list @t211 @t208 @t209) (=> (tptp.hBOOL (tptp.hAPP @t1388 @t211)) (= (tptp.hAPP (tptp.hAPP @t5190 @t5763) @t208) @t1387)))) % 6.71/6.99 (assume @p4415 (forall @t192 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t115 @t181) (tptp.hAPP @t5184 (tptp.c_List_Oupt @t116 @t191))))) % 6.71/6.99 (assume @p4416 (forall @t192 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t115 @t181) (tptp.hAPP @t5184 (tptp.c_List_Oupt @t116 @t181))))) % 6.71/6.99 (assume @p4417 (forall @t973 (= @t1001 (tptp.hAPP @t5184 (tptp.c_List_Oupt @t890 @t116))))) % 6.71/6.99 (assume @p4418 (forall @t5097 (= (tptp.hAPP (tptp.hAPP @t5775 @t5068) @t5753) @t4928))) % 6.71/6.99 (assume @p4419 (forall @t3565 (=> @t2924 (= @t5778 @t5776)))) % 6.71/6.99 (assume @p4420 (forall @t3565 (=> @t2924 (= @t5776 @t5778)))) % 6.71/6.99 (assume @p4421 (forall (@list @t2 @t10 @t181 @t115 @t220) (=> (tptp.hBOOL (tptp.hAPP @t1465 @t913)) (= (tptp.hAPP (tptp.hAPP @t5066 @t5777) @t220) (tptp.hAPP @t2 (tptp.hAPP @t1289 @t220)))))) % 6.71/6.99 (assume @p4422 (forall (@list @t115 @t10 @t4928) (=> (=> @t5780 @t971) (=> (forall @t905 (=> (tptp.hBOOL (tptp.hAPP @t903 @t5689)) (= (tptp.hAPP @t4923 (tptp.hAPP @t5779 @t898)) @t115))) (= @t5729 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4706) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5192 @t4706) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5089 (tptp.tc_fun @t5192 @t4706) tptp.tc_Nat_Onat) @t5775) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4706 @t5089 tptp.tc_Nat_Onat) @t5066) @t5779)))) (tptp.c_List_Oupt @t890 @t5689))) @t5774)))))) % 6.71/6.99 (assume @p4423 (forall (@list @t2 @t4928 @t173 @t10 @t41) (=> @t3066 (=> @t5174 (=> @t5782 (=> (= (tptp.hAPP @t5457 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4260 (tptp.hAPP tptp.c_fequal @t829)) @t2)) @t4928)) @t173) (= (tptp.hAPP @t5508 @t5781) @t4928))))))) % 6.71/6.99 (assume @p4424 (forall @t471 (=> @t68 (tptp.c_List_Olinorder__class_Osorted @t31 @t5266)))) % 6.71/6.99 (assume @p4425 (forall @t35 (=> @t68 (tptp.c_List_Olinorder__class_Osorted @t31 @t5292)))) % 6.71/6.99 (assume @p4426 (forall @t1379 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t5763))) % 6.71/6.99 (assume @p4427 (forall @t5097 (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 @t5686)))) % 6.71/6.99 (assume @p4428 (forall @t5100 (=> @t120 (=> @t5783 (tptp.c_List_Olinorder__class_Osorted @t10 @t5514))))) % 6.71/6.99 (assume @p4429 (forall @t5105 (=> @t68 (=> @t5784 (tptp.c_List_Olinorder__class_Osorted @t31 @t5421))))) % 6.71/6.99 (assume @p4430 (forall @t1379 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5243))) % 6.71/6.99 (assume @p4431 (forall @t5105 (=> @t68 (=> @t5784 (tptp.c_List_Olinorder__class_Osorted @t31 @t5103))))) % 6.71/6.99 (assume @p4432 (forall (@list @t81 @t4935 @t31) (=> @t68 (=> @t5784 (tptp.c_List_Olinorder__class_Osorted @t31 (tptp.c_List_Oremove1 @t31 @t81 @t4935)))))) % 6.71/6.99 (assume @p4433 (forall @t5239 (=> @t68 (=> @t5784 (tptp.c_List_Olinorder__class_Osorted @t31 @t5462))))) % 6.71/6.99 (assume @p4434 (forall @t5011 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5503) @t5783)))) % 6.71/6.99 (assume @p4435 (forall @t5239 (=> @t68 (=> @t5273 (=> @t5784 (tptp.c_List_Olinorder__class_Osorted @t31 @t5211)))))) % 6.71/6.99 (assume @p4436 (forall @t5287 (=> @t68 (=> @t67 (=> (tptp.c_List_Olinorder__class_Osorted @t31 @t5785) (tptp.c_List_Olinorder__class_Osorted @t31 (tptp.hAPP @t4976 @t5785))))))) % 6.71/6.99 (assume @p4437 (forall @t5477 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t4991 @t5786)) (and @t101 (tptp.c_List_Olinorder__class_Osorted @t10 @t5786)))))) % 6.71/6.99 (assume @p4438 (forall (@list @t943 @t31) (=> @t68 (=> (tptp.c_List_Olinorder__class_Osorted @t31 @t943) (tptp.c_List_Olinorder__class_Osorted @t31 (tptp.c_List_Oremdups @t31 @t943)))))) % 6.71/6.99 (assume @p4439 (forall @t5377 (=> @t120 (=> @t5783 (=> @t5242 (=> @t5788 (=> @t5402 @t5787))))))) % 6.71/6.99 (assume @p4440 (forall @t5552 (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 (tptp.c_List_Olinorder__class_Osort__key @t41 @t10 @t2 @t4928)))))) % 6.71/6.99 (assume @p4441 (forall @t5790 (=> @t120 (=> @t5789 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 @t5510)))))) % 6.71/6.99 (assume @p4442 (forall @t5790 (=> @t120 (=> @t5789 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 (tptp.c_List_Oremove1 @t41 @t51 @t4928))))))) % 6.71/6.99 (assume @p4443 (forall @t5661 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 @t5502)) @t5789)))) % 6.71/6.99 (assume @p4444 (forall @t5558 (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 (tptp.hAPP (tptp.c_List_Ofilter @t41 (tptp.hAPP (tptp.hAPP @t4561 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t23 @t41) tptp.c_fequal) @t2)) @t5791)) @t4928)))))) % 6.71/6.99 (assume @p4445 (forall (@list @t60 @t4928 @t2 @t41 @t10) (=> @t120 (=> @t5789 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5537 @t5793)))))) % 6.71/6.99 (assume @p4446 (forall (@list @t4928 @t1 @t10) (=> @t120 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t3580 @t5791)) @t4928))))) % 6.71/6.99 (assume @p4447 (forall @t5011 (=> @t120 (= @t5795 (and @t5783 @t5794))))) % 6.71/6.99 (assume @p4448 (forall @t5377 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5362) (and @t5783 @t5788 (forall @t7 (=> @t5130 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 @t5375)) @t4023))))))))) % 6.71/6.99 (assume @p4449 (forall (@list @t51 @t60 @t4928 @t2 @t41 @t10) (=> @t120 (=> @t5789 (=> @t63 (= (tptp.hAPP @t5792 @t5502) (tptp.hAPP @t5498 @t5793))))))) % 6.71/6.99 (assume @p4450 (forall (@list @t938 @t937 @t10) (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5055 @t938)) (and (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t5094 @t938))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t937) @t3)))) (tptp.c_List_Olinorder__class_Osorted @t10 @t938)))))) % 6.71/6.99 (assume @p4451 (forall @t55 (=> @t120 (=> @t2064 (and (= (tptp.hAPP @t5094 @t5330) @t21) (tptp.c_List_Olinorder__class_Osorted @t10 @t5330) (tptp.hBOOL (tptp.hAPP @t5240 @t5330))))))) % 6.71/6.99 (assume @p4452 (forall @t5752 (=> @t120 (=> @t5174 (=> @t5783 (= (tptp.hAPP (tptp.hAPP @t5492 @t173) @t5781) @t4928)))))) % 6.71/6.99 (assume @p4453 (forall @t5797 (=> @t68 (=> @t5784 (=> @t213 (=> @t5796 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t5110) @t5205)))))))) % 6.71/6.99 (assume @p4454 (forall @t5097 (=> @t120 (= @t5783 (forall @t995 (=> @t5253 (forall @t905 (=> @t5798 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t5074) @t5252)))))))))) % 6.71/6.99 (assume @p4455 (forall @t5564 (=> @t3066 (=> @t5572 (=> @t5782 (=> (tptp.hBOOL (tptp.hAPP @t5573 @t5531)) (=> (tptp.c_List_Olinorder__class_Osorted @t41 @t5559) (=> (tptp.hBOOL (tptp.hAPP @t5573 @t5559)) @t5787)))))))) % 6.71/6.99 (assume @p4456 (forall @t5804 (=> @t5803 (=> @t5801 (= (tptp.hAPP @t5728 @t5800) @t5799))))) % 6.71/6.99 (assume @p4457 (forall @t5256 (=> @t5803 (=> @t5733 (=> (tptp.hBOOL (tptp.hAPP @t5255 (tptp.hAPP @t5688 @t5727))) (= (tptp.hAPP (tptp.hAPP @t5066 @t5731) @t902) (tptp.hAPP (tptp.hAPP @t5066 (tptp.hAPP @t5779 @t902)) @t220))))))) % 6.71/6.99 (assume @p4458 (forall @t55 (tptp.c_Fun_Oinj__on @t4706 @t4706 @t5805 @t21))) % 6.71/6.99 (assume @p4459 (forall @t5097 (= (tptp.hBOOL (tptp.hAPP @t5240 @t5806)) @t5242))) % 6.71/6.99 (assume @p4460 (forall @t5097 (= (= @t5806 @t5267) @t5268))) % 6.71/6.99 (assume @p4461 (forall @t5097 (= (= @t5267 @t5806) @t5268))) % 6.71/6.99 (assume @p4462 (forall @t471 (= (tptp.hAPP @t5807 @t5266) @t5266))) % 6.71/6.99 (assume @p4463 (forall @t5011 (= (= @t5298 @t5806) @t5808))) % 6.71/6.99 (assume @p4464 (forall @t5100 (= (= @t5806 @t5298) @t5808))) % 6.71/6.99 (assume @p4465 (forall @t4941 (= (tptp.hAPP @t5807 @t5356) (tptp.hAPP (tptp.hAPP @t5354 (tptp.hAPP @t5807 @t4934)) @t5809)))) % 6.71/6.99 (assume @p4466 (forall @t5097 (= (tptp.hAPP @t5805 @t5685) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t5649 @t5805) (tptp.hAPP (tptp.c_List_Orev @t4706) @t4928)))))) % 6.71/6.99 (assume @p4467 (forall @t5552 (= @t5812 (tptp.hAPP @t5537 @t5811)))) % 6.71/6.99 (assume @p4468 (forall @t5711 (= (tptp.hAPP @t5805 @t5709) (tptp.hAPP @t5708 @t5806)))) % 6.71/6.99 (assume @p4469 (forall @t5249 (=> (= @t4940 @t5168) (= (tptp.hAPP (tptp.hAPP @t5163 @t5809) (tptp.hAPP @t5805 @t4934)) (tptp.hAPP (tptp.c_List_Orev @t5166) @t5165))))) % 6.71/6.99 (assume @p4470 (forall @t5097 (= (tptp.hAPP @t5094 @t5806) @t5096))) % 6.71/6.99 (assume @p4471 (forall @t5633 (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5806 @t5813) @t5632))) % 6.71/6.99 (assume @p4472 (forall @t5633 (= (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t5806 @t4925) (tptp.c_List_Olist__all2 @t10 @t41 @t60 @t4928 @t5813)))) % 6.71/6.99 (assume @p4473 (forall @t5239 (= (tptp.hAPP @t5807 @t5809) @t4935))) % 6.71/6.99 (assume @p4474 (forall @t5377 (= (= @t5806 @t4925) (= @t4928 @t5814)))) % 6.71/6.99 (assume @p4475 (forall @t5377 (= (= @t5806 @t5814) @t5037))) % 6.71/6.99 (assume @p4476 (forall @t5239 (=> @t1338 (= (tptp.hAPP @t5195 @t5809) @t5196)))) % 6.71/6.99 (assume @p4477 (forall @t5239 (= (tptp.hAPP @t4938 @t5809) @t4940))) % 6.71/6.99 (assume @p4478 (forall (@list @t4928 @t173 @t2 @t41 @t10) (= @t5482 (tptp.c_List_Ofoldr @t41 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t41 @t10) @t2) @t5811 @t173)))) % 6.71/6.99 (assume @p4479 (forall (@list @t173 @t4928 @t2 @t10 @t41) (= @t5749 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t41 (tptp.hAPP @t3526 @t2) @t173) @t5811)))) % 6.71/6.99 (assume @p4480 (forall (@list @t4925 @t97 @t4928 @t10) (= (= @t5806 @t4990) (= @t4928 (tptp.hAPP (tptp.hAPP @t5341 @t5814) @t5350))))) % 6.71/6.99 (assume @p4481 (forall @t4981 (= (tptp.hAPP @t5807 @t4979) (tptp.hAPP (tptp.hAPP @t5354 @t5809) @t5292)))) % 6.71/6.99 (assume @p4482 (forall @t5274 (=> @t5273 (= (tptp.hAPP @t5450 @t5809) @t5515)))) % 6.71/6.99 (assume @p4483 (forall @t5274 (=> @t5273 (= (tptp.c_List_Olast @t31 @t5809) @t5453)))) % 6.71/6.99 (assume @p4484 (forall @t5097 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t5802 (tptp.hAPP @t5683 @t5729))))) % 6.71/6.99 (assume @p4485 (forall @t5097 (= @t5806 (tptp.hAPP (tptp.c_List_Ofoldl @t4706 @t10 @t5308 @t5267) @t4928)))) % 6.71/6.99 (assume @p4486 (forall @t5816 (= (tptp.hAPP @t5807 @t5245) (tptp.hAPP (tptp.hAPP @t5418 @t5815) @t5809)))) % 6.71/6.99 (assume @p4487 (forall @t5816 (= (tptp.hAPP @t5807 @t5424) (tptp.hAPP (tptp.hAPP @t5101 @t5815) @t5809)))) % 6.71/6.99 (assume @p4488 (forall @t5121 (= (tptp.hAPP @t5465 @t5809) (tptp.hAPP @t5807 (tptp.hAPP (tptp.c_List_Orotate @t31 (tptp.hAPP @t5215 @t5464)) @t4935))))) % 6.71/6.99 (assume @p4489 (forall @t5200 (=> @t5238 (= (tptp.hAPP (tptp.hAPP @t5077 @t5809) @t176) (tptp.hAPP @t5079 (tptp.hAPP @t5215 @t177)))))) % 6.71/6.99 (assume @p4490 (forall (@list @t64 @t4935 @t31 @t208) (=> (tptp.hBOOL (tptp.hAPP @t1390 @t4940)) (= (tptp.hAPP @t5807 (tptp.hAPP @t5212 @t64)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t31 @t5809) (tptp.hAPP (tptp.hAPP @t911 (tptp.hAPP @t5215 @t208)) @t1243)) @t64))))) % 6.71/6.99 (assume @p4491 (forall @t5797 (=> @t68 (=> (tptp.c_List_Olinorder__class_Osorted @t31 @t5809) (=> @t213 (=> @t5796 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t5205) @t5110)))))))) % 6.71/6.99 (assume @p4492 (forall @t5734 (=> @t120 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5806) (and (=> @t5268 (= @t5817 @t97)) (=> @t5291 (= @t5817 (tptp.hAPP (tptp.hAPP @t3129 (tptp.hAPP @t5068 @t890)) @t97)))))))) % 6.71/6.99 (assume @p4493 (forall @t5097 (=> @t5803 (and (=> @t5780 (= @t5732 @t890)) (=> (not @t5780) (= @t5732 (tptp.hAPP @t4923 (tptp.hAPP @t5779 @t890)))))))) % 6.71/6.99 (assume @p4494 (forall @t5804 (=> @t5803 (=> @t5801 (= (tptp.hAPP @t5688 @t5800) (tptp.hAPP @t4923 @t5799)))))) % 6.71/6.99 (assume @p4495 (forall @t5097 (=> @t5803 (= (tptp.c_List_Otranspose @t10 @t5729) (tptp.c_List_OtakeWhile @t4706 @t5702 @t4928))))) % 6.71/6.99 (assume @p4496 (= @t5760 (tptp.c_List_Oreturn__list @t5283))) % 6.71/6.99 (assume @p4497 (forall @t5132 (=> @t120 (=> @t5783 (tptp.c_List_Olinorder__class_Osorted @t10 @t5818))))) % 6.71/6.99 (assume @p4498 (forall @t5711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5819) @t4929)))) % 6.71/6.99 (assume @p4499 (forall @t5711 (= (= @t5818 @t4928) @t5131))) % 6.71/6.99 (assume @p4500 (forall (@list @t4928 @t60 @t51 @t10) (=> (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 @t5818))) (and @t5113 @t63)))) % 6.71/6.99 (assume @p4501 (forall (@list @t4925 @t60 @t4928 @t41 @t10) (= (tptp.hAPP @t5158 (tptp.c_List_OtakeWhile @t41 @t60 @t4925)) (tptp.c_List_OtakeWhile @t2097 (tptp.hAPP (tptp.c_Fun_Ocomp @t41 tptp.tc_HOL_Obool @t2097 @t60) @t3984) @t5159)))) % 6.71/6.99 (assume @p4502 (forall @t5633 (= (tptp.hAPP (tptp.hAPP @t5157 @t5818) @t4925) (tptp.c_List_OtakeWhile @t2097 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t2097 @t60) @t3985) @t5159)))) % 6.71/6.99 (assume @p4503 (forall @t5721 (= (tptp.c_List_OtakeWhile @t10 @t60 @t5538) (tptp.hAPP @t5537 (tptp.c_List_OtakeWhile @t41 @t5718 @t4928))))) % 6.71/6.99 (assume @p4504 (forall (@list @t227 @t4928 @t10 @t51 @t60) (=> @t5715 (= (tptp.c_List_OtakeWhile @t10 @t60 (tptp.hAPP @t5352 @t5342)) @t5818)))) % 6.71/6.99 (assume @p4505 (forall @t5716 (and (=> @t63 (= @t5820 (tptp.hAPP @t4991 @t5818))) (=> @t5715 (= @t5820 @t5267))))) % 6.71/6.99 (assume @p4506 (forall @t4027 (= (tptp.c_List_OtakeWhile @t10 @t60 @t5267) @t5267))) % 6.71/6.99 (assume @p4507 (forall @t5711 (= @t5818 (tptp.hAPP (tptp.hAPP @t5086 @t5819) @t4928)))) % 6.71/6.99 (assume @p4508 (forall @t5132 (=> @t5242 (tptp.hBOOL (tptp.hAPP @t5240 @t5818))))) % 6.71/6.99 (assume @p4509 (forall @t2614 (= (tptp.c_List_Oreturn__list @t227) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t227)))) % 6.71/6.99 (assume @p4510 (forall @t5822 (=> @t5113 (=> @t5715 (= @t5821 @t5818))))) % 6.71/6.99 (assume @p4511 (forall @t5823 (=> (tptp.hBOOL (tptp.hAPP @t5255 @t5819)) (= (tptp.hAPP (tptp.hAPP @t5066 @t5818) @t902) @t5254)))) % 6.71/6.99 (assume @p4512 (forall @t5711 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 @t5819) @t4929)) (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t5068 @t5819))))))) % 6.71/6.99 (assume @p4513 (forall @t5459 (=> @t5291 (=> @t5242 (= (tptp.c_List_OtakeWhile @t10 (tptp.hAPP @t4418 (tptp.hAPP @t3580 @t5530)) @t4928) @t5231))))) % 6.71/6.99 (assume @p4514 (forall (@list @t771 @t4928 @t2 @t41 @t10) (=> @t120 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t5812) (= (tptp.hAPP (tptp.c_List_Ofilter @t41 @t5825) @t4928) (tptp.c_List_OtakeWhile @t41 @t5825 @t4928)))))) % 6.71/6.99 (assume @p4515 (forall @t2613 (=> (tptp.c_List_Onat__list @t943) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t943)) @t943)))) % 6.71/6.99 (assume @p4516 (forall (@list @t193 @t943) (= (tptp.hAPP (tptp.hAPP @t5764 @t943) @t193) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list @t943)) (tptp.c_List_Oembed__list @t193)))))) % 6.71/6.99 (assume @p4517 (forall @t2614 (= (tptp.c_List_Oembed__list @t227) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) @t1511) @t227)))) % 6.71/6.99 (assume @p4518 (forall @t5100 (=> @t5242 (=> @t5113 (= (tptp.c_List_OtakeWhile @t10 @t5826 @t5806) (tptp.hAPP @t5805 (tptp.hAPP @t5474 (tptp.c_List_OdropWhile @t10 @t5826 @t4928)))))))) % 6.71/6.99 (assume @p4519 (forall @t5100 (=> @t5242 (=> @t5113 (= (tptp.c_List_OdropWhile @t10 @t5826 @t5806) (tptp.hAPP @t4991 (tptp.hAPP @t5805 (tptp.c_List_OtakeWhile @t10 @t5826 @t4928)))))))) % 6.71/6.99 (assume @p4520 (forall @t5711 (= (tptp.hAPP @t5828 @t5827) @t4928))) % 6.71/6.99 (assume @p4521 (forall @t5132 (=> @t120 (=> @t5783 (tptp.c_List_Olinorder__class_Osorted @t10 @t5827))))) % 6.71/6.99 (assume @p4522 (forall @t5711 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t5829) @t4929)))) % 6.71/6.99 (assume @p4523 (forall @t5711 (= @t5830 @t5131))) % 6.71/6.99 (assume @p4524 (forall @t5716 (and (=> @t63 (= @t5831 @t5827)) (=> @t5715 (= @t5831 @t4992))))) % 6.71/6.99 (assume @p4525 (forall @t4027 (= (tptp.c_List_OdropWhile @t10 @t60 @t5267) @t5267))) % 6.71/6.99 (assume @p4526 (forall @t5132 (=> @t5242 (tptp.hBOOL (tptp.hAPP @t5240 @t5827))))) % 6.71/6.99 (assume @p4527 (forall @t5711 (=> (not @t5830) (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t5457 @t5827))))))) % 6.71/6.99 (assume @p4528 (forall @t5721 (= (tptp.c_List_OdropWhile @t10 @t60 @t5538) (tptp.hAPP @t5537 (tptp.c_List_OdropWhile @t41 @t5718 @t4928))))) % 6.71/6.99 (assume @p4529 (forall @t5822 (=> @t5113 (=> @t5715 (= @t5832 (tptp.hAPP (tptp.hAPP @t5341 @t5827) @t4925)))))) % 6.71/6.99 (assume @p4530 (forall (@list @t4925 @t97 @t4928 @t60 @t10) (= (= @t5827 @t4990) (and (= @t4928 (tptp.hAPP @t5828 @t4990)) (not @t4326))))) % 6.71/6.99 (assume @p4531 (forall @t5711 (= @t5827 (tptp.hAPP (tptp.hAPP @t5429 @t5819) @t4928)))) % 6.71/6.99 (assume @p4532 (forall @t5823 (=> (tptp.hBOOL (tptp.hAPP @t5255 @t5829)) (= (tptp.hAPP (tptp.hAPP @t5066 @t5827) @t902) (tptp.hAPP @t5068 (tptp.hAPP @t1475 @t5819)))))) % 6.71/6.99 (assume @p4533 (forall (@list @t2 @t60 @t4928 @t10 @t41) (=> @t5603 (=> (forall @t7 (=> @t5130 (=> @t4412 @t2860))) (= (tptp.hAPP @t5575 (tptp.hAPP @t5528 @t5709)) @t5576))))) % 6.71/6.99 (assume @p4534 (forall @t5239 (=> @t68 (=> (forall @t2046 (=> @t5798 (=> (tptp.hBOOL (tptp.hAPP @t994 @t4940)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t5261) (tptp.hAPP @t5079 @t993)))))) @t5784)))) % 6.71/6.99 (assume @p4535 (forall @t5711 (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 (tptp.hAPP @t5094 @t5827))) @t4412)) (= @t5818 @t5709)))) % 6.71/6.99 (assume @p4536 (forall @t5834 (=> (forall @t905 (=> @t2323 @t5128)) (=> (=> @t5139 (not @t5833)) (= @t5818 @t5107))))) % 6.71/6.99 (assume @p4537 (forall (@list @t4928 @t10 @t60 @t902) (=> (forall @t905 (=> @t904 @t5127)) (=> (tptp.hBOOL (tptp.hAPP @t1255 @t4929)) (tptp.hBOOL (tptp.hAPP @t1255 @t5819)))))) % 6.71/6.99 (assume @p4538 (forall @t174 (=> @t120 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t173) (or @t5525 (exists (@list @t5057 @t3) (and (= @t173 @t5059) (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 (tptp.hAPP @t5094 @t5057))) @t4023)) (tptp.c_List_Olinorder__class_Osorted @t10 @t5057)))))))) % 6.71/6.99 (assume @p4539 (forall @t5011 (and @t5837 @t5836))) % 6.71/6.99 (assume @p4540 (forall @t5011 @t5836)) % 6.71/6.99 (assume @p4541 (forall @t4981 (= (tptp.c_List_Oinsert @t31 @t30 @t5662) (tptp.c_List_Oremdups @t31 @t5838)))) % 6.71/6.99 (assume @p4542 (forall @t5276 (=> @t5247 (tptp.hBOOL (tptp.hAPP @t5246 @t5838))))) % 6.71/6.99 (assume @p4543 (forall @t5011 @t5837)) % 6.71/6.99 (assume @p4544 (forall @t5011 (= (tptp.hAPP @t5094 @t5835) @t5124))) % 6.71/6.99 (assume @p4545 (forall @t35 (= (tptp.c_List_Oinsert @t31 @t30 @t5266) @t5292))) % 6.71/6.99 (assume @p4546 (forall @t5540 (= @t5840 @t5839))) % 6.71/6.99 (assume @p4547 (forall @t5552 (= @t5839 @t5840))) % 6.71/6.99 (assume @p4548 (forall @t258 (= (tptp.c_List_Omaps @t41 @t10 @t2 @t5324) @t5267))) % 6.71/6.99 (assume @p4549 (forall @t5507 (= (tptp.c_List_Omaps @t41 @t10 @t2 @t5481) (tptp.hAPP (tptp.hAPP @t5341 @t53) @t5840)))) % 6.71/6.99 (assume @p4550 (forall @t5097 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t4706) @t4928)) (=> (forall @t5846 (=> @t5845 (tptp.hBOOL (tptp.hAPP @t5240 @t5051)))) (=> (forall @t5846 (=> @t5845 (forall @t5844 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4996 @t5841) @t5684)) (=> (not (= @t5051 @t5841)) (= (tptp.hAPP (tptp.hAPP @t264 @t5843) @t5842) @t146)))))) (tptp.hBOOL (tptp.hAPP @t5240 @t5685))))))) % 6.71/6.99 (assume @p4551 (forall @t5852 (=> @t4020 (=> @t5851 @t5849)))) % 6.71/6.99 (assume @p4552 (forall @t5853 (tptp.c_Wellfounded_Owf @t10 @t5850))) % 6.71/6.99 (assume @p4553 (forall @t107 (not (tptp.hBOOL (tptp.hAPP @t3959 (tptp.c_List_Omeasures @t10 (tptp.c_List_Olist_ONil @t5848))))))) % 6.71/6.99 (assume @p4554 (forall @t5853 (= @t5850 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5192 @t10) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5854 @t5192) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5848 tptp.tc_Nat_Onat) (tptp.tc_fun @t5854 @t5192) @t10) (tptp.c_List_Omap @t5848 tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC @t5848 @t10 tptp.tc_Nat_Onat) (tptp.c_COMBI @t5848)))) @t5847))))) % 6.71/6.99 (assume @p4555 (forall (@list @t5847 @t2 @t97 @t51 @t10) (= @t5849 (or @t3955 (and @t162 @t5851))))) % 6.71/6.99 (assume @p4556 (forall @t5852 (=> @t3955 @t5849))) % 6.71/6.99 (assume @p4557 (forall (@list @t3975 @t1 @t2075 @t2 @t41 @t2989 @t4928 @t10) (=> (forall @t7 (=> @t5130 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2989 @t2989 @t41 @t5) @t2075) (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t2989 @t41 @t2075) @t4)))) (= (tptp.hAPP (tptp.c_List_Ofoldl @t2989 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t2989 @t2989) @t2) (tptp.hAPP @t2075 @t3975)) @t4928) (tptp.hAPP @t2075 (tptp.hAPP (tptp.c_List_Ofoldl @t41 @t10 (tptp.hAPP @t3584 @t1) @t3975) @t4928)))))) % 6.71/6.99 (assume @p4558 (forall @t50 (=> @t5858 (= @t677 (and @t48 (tptp.hBOOL (tptp.hAPP @t5856 (tptp.hAPP @t4418 (tptp.hAPP (tptp.hAPP @t5855 @t4259) @t1))))))))) % 6.71/6.99 (assume @p4559 (forall @t4634 (=> @t5859 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex @t2097) @t60)) (tptp.hBOOL (tptp.hAPP @t5856 (tptp.hAPP (tptp.hAPP @t4476 (tptp.c_Enum_Oenum__class_Oenum__ex @t41)) @t4331))))))) % 6.71/6.99 (assume @p4560 (forall @t4027 (=> @t5857 (= @t5860 @t1726)))) % 6.71/6.99 (assume @p4561 (forall @t4027 (=> @t5857 (= @t1726 @t5860)))) % 6.71/6.99 (assume @p4562 (forall (@list @t60 @t4925 @t41 @t4928 @t10) (=> (=> (= (tptp.hAPP @t4923 @t5862) (tptp.hAPP @t5151 @t5861)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t5157 @t5862) @t5861)))) (tptp.hBOOL (tptp.hAPP @t60 @t5159))))) % 6.71/6.99 (assume @p4563 (forall (@list @t5863 @t5864 @t5865 @t3274) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t3274 @t5865 @t5864 @t5863) (tptp.c_New__DSequence_Opos__not__seq @t5866)))) % 6.71/6.99 (assume @p4564 (forall @t5867 (=> @t5131 (= @t5832 (tptp.c_List_OdropWhile @t10 @t60 @t4925))))) % 6.71/6.99 (assume @p4565 (forall (@list @t60 @t248 @t41 @t173 @t10) (=> @t5656 (=> (forall @t40 (=> (tptp.hBOOL (tptp.hAPP @t5071 @t5655)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t5066 @t173) @t36)) (tptp.hAPP (tptp.hAPP @t5154 @t248) @t36))))) @t5635)))) % 6.71/6.99 (assume @p4566 (forall @t55 (=> @t120 (=> @t2064 (exists @t7 (and (= (tptp.hAPP @t5094 @t3) @t21) (tptp.c_List_Olinorder__class_Osorted @t10 @t3) (tptp.hBOOL (tptp.hAPP @t5240 @t3)) (forall @t1180 (=> (and (= (tptp.hAPP @t5094 @t282) @t21) (tptp.c_List_Olinorder__class_Osorted @t10 @t282) (tptp.hBOOL (tptp.hAPP @t5240 @t282))) @t1179)))))))) % 6.71/6.99 (assume @p4567 (forall @t5867 (=> @t5131 (= @t5821 (tptp.hAPP @t5352 (tptp.c_List_OtakeWhile @t10 @t60 @t4925)))))) % 6.71/6.99 (assume @p4568 (forall (@list @t173 @t2 @t4928 @t10 @t41) (=> @t3066 (=> (forall @t7 (=> @t5130 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t829) @t5)))) (= @t5509 (tptp.hAPP @t4984 @t4928)))))) % 6.71/6.99 (assume @p4569 (forall @t5822 (= (= @t4992 @t5723) @t5868))) % 6.71/6.99 (assume @p4570 (forall (@list @t4928 @t51 @t4925 @t60 @t10) (= (= @t5723 @t4992) @t5868))) % 6.71/6.99 (assume @p4571 (forall @t50 (=> @t5858 (= @t48 (tptp.hBOOL (tptp.hAPP @t5869 (tptp.hAPP (tptp.hAPP @t5855 (tptp.hAPP (tptp.hAPP @t4258 @t42) @t2)) @t1))))))) % 6.71/6.99 (assume @p4572 (forall @t4027 (=> @t5857 (= @t1773 @t5870)))) % 6.71/6.99 (assume @p4573 (forall @t4027 (=> @t5857 (= @t5870 @t1773)))) % 6.71/6.99 (assume @p4574 (forall @t4634 (=> @t5859 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all @t2097) @t60)) (tptp.hBOOL (tptp.hAPP @t5869 (tptp.hAPP (tptp.hAPP @t4476 (tptp.c_Enum_Oenum__class_Oenum__all @t41)) @t4331))))))) % 6.71/6.99 (assume @p4575 (forall @t5834 (=> @t5139 (=> @t5131 @t5833)))) % 6.71/6.99 (assume @p4576 (forall @t5100 (=> @t120 (=> @t5794 (=> @t5783 @t5795))))) % 6.71/6.99 (assume @p4577 (forall @t5711 (= @t5872 (exists @t40 (and @t5072 @t5871))))) % 6.71/6.99 (assume @p4578 (forall @t5011 (= @t5113 (exists @t5874 @t5873)))) % 6.71/6.99 (assume @p4579 (forall @t4027 (not (tptp.c_List_Olist__ex @t10 @t60 @t5267)))) % 6.71/6.99 (assume @p4580 (forall @t5724 (= (tptp.c_List_Olist__ex @t10 @t60 @t5362) (or @t5872 (tptp.c_List_Olist__ex @t10 @t60 @t4925))))) % 6.71/6.99 (assume @p4581 (forall @t5711 (= @t5872 @t5875))) % 6.71/6.99 (assume @p4582 (forall @t5711 (= (tptp.c_List_Olist__ex @t10 @t60 @t5806) @t5872))) % 6.71/6.99 (assume @p4583 (forall @t5621 (= (tptp.c_List_Olist__ex @t10 @t60 @t4992) (or @t63 @t5872)))) % 6.71/6.99 (assume @p4584 (forall @t1242 (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat @t60 @t5758) (not (tptp.c_List_Oall__interval__nat (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat tptp.c_fNot) @t60) @t220 @t902))))) % 6.71/6.99 (assume @p4585 (forall @t5011 (= @t5113 (exists @t5846 (and (exists @t5844 @t5873) (not (tptp.hBOOL (tptp.hAPP @t326 @t5843)))))))) % 6.71/6.99 (assume @p4586 (forall @t5011 (= @t5113 (exists @t5874 (and @t5873 (not (tptp.hBOOL (tptp.hAPP @t326 @t5842)))))))) % 6.71/6.99 (assume @p4587 (forall @t5711 (= @t5876 (forall @t40 (=> @t5072 @t5871))))) % 6.71/6.99 (assume @p4588 (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) @t1856))) % 6.71/6.99 (assume @p4589 (forall @t4027 (tptp.c_List_Olist__all @t10 @t60 @t5267))) % 6.71/6.99 (assume @p4590 (forall @t5724 (= (tptp.c_List_Olist__all @t10 @t60 @t5362) (and @t5876 (tptp.c_List_Olist__all @t10 @t60 @t4925))))) % 6.71/6.99 (assume @p4591 (forall @t164 (=> (tptp.class_Nat_Osize @t10) (tptp.c_FunDef_Ois__measure @t10 (tptp.c_Nat_Osize__class_Osize @t10))))) % 6.71/6.99 (assume @p4592 (forall @t174 (tptp.c_FunDef_Ois__measure @t10 @t173))) % 6.71/6.99 (assume @p4593 (forall @t233 @t5877)) % 6.71/6.99 (assume @p4594 (forall @t5711 (= @t5876 @t5131))) % 6.71/6.99 (assume @p4595 (forall @t5878 (=> @t5877 (tptp.c_FunDef_Ois__measure @t2097 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t2097) @t2) @t3985))))) % 6.71/6.99 (assume @p4596 (forall @t5878 (=> @t5877 (tptp.c_FunDef_Ois__measure @t3817 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_Nat_Onat @t3817) @t2) @t3948))))) % 6.71/6.99 (assume @p4597 (forall @t5711 (= (tptp.c_List_Olist__all @t10 @t60 @t5806) @t5876))) % 6.71/6.99 (assume @p4598 (forall @t5621 (= (tptp.c_List_Olist__all @t10 @t60 @t4992) (and @t63 @t5876)))) % 6.71/6.99 (assume @p4599 (forall @t5132 (= @t5131 @t5876))) % 6.71/6.99 (assume @p4600 (forall @t1242 (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat @t60 @t5758) @t1241))) % 6.71/6.99 (assume @p4601 (forall @t5621 (= (tptp.c_List_Olist__ex1 @t10 @t60 @t4992) (and (=> @t63 (tptp.c_List_Olist__all @t10 (tptp.hAPP (tptp.hAPP @t4340 (tptp.hAPP @t4415 @t4419)) @t4334) @t4928)) (=> @t5715 @t5879))))) % 6.71/6.99 (assume @p4602 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t1511 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 6.71/6.99 (assume @p4603 (forall @t4027 (not (tptp.c_List_Olist__ex1 @t10 @t60 @t5267)))) % 6.71/6.99 (assume @p4604 (= (tptp.hAPP @t5880 tptp.c_fFalse) @t890)) % 6.71/6.99 (assume @p4605 (= (tptp.hAPP @t5880 tptp.c_fTrue) @t890)) % 6.71/6.99 (assume @p4606 (forall @t5711 (= @t5879 (exists @t7 (and @t5130 @t168 (forall @t1180 (=> (and (tptp.hBOOL (tptp.hAPP @t3124 @t5096)) @t4563) @t1179))))))) % 6.71/6.99 (assume @p4607 (forall @t5887 (and (=> @t5885 (= @t5884 (tptp.c_Lazy__Sequence_Oempty @t10))) (=> @t5886 (= @t5884 (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t41 @t10 @t5883) @t5882)))))) % 6.71/6.99 (assume @p4608 (forall @t5887 (and (=> @t5885 (= @t5890 (tptp.c_Lazy__Sequence_Ohit__bound @t10))) (=> @t5886 (= @t5890 (tptp.c_Lazy__Sequence_Ohb__bind @t41 @t10 @t5883 @t5889)))))) % 6.71/6.99 (assume @p4609 (forall @t5895 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t41 @t10 @t3274 @t2 @t5865 @t5864 @t5863) (tptp.c_New__DSequence_Opos__decr__bind @t41 @t10 @t5866 @t5894)))) % 6.71/6.99 (assume @p4610 (forall @t5895 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t41 @t10 @t3274 @t2 @t5865 @t5864 @t5863) (tptp.c_New__DSequence_Oneg__decr__bind @t41 @t10 @t5866 @t5899)))) % 6.71/6.99 (assume @p4611 (forall @t5901 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t41 @t10 @t51 @t2) @t220) (tptp.c_Lazy__Sequence_Ohb__bind @t41 @t10 @t5900 @t5889)))) % 6.71/6.99 (assume @p4612 (forall (@list @t5902 @t31) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t31) @t5902) (tptp.c_Lazy__Sequence_Oempty @t31)))) % 6.71/6.99 (assume @p4613 (forall (@list @t5863 @t5864 @t5865 @t10) (= (tptp.c_New__Random__Sequence_Opos__empty @t10 @t5865 @t5864 @t5863) (tptp.c_New__DSequence_Opos__empty @t10)))) % 6.71/6.99 (assume @p4614 (forall @t5895 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t41 @t10 @t3274 @t2) @t5865) @t5864) @t5863) (tptp.c_New__DSequence_Oneg__bind @t41 @t10 @t5866 @t5899)))) % 6.71/6.99 (assume @p4615 (forall @t5901 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t41 @t10 @t51 @t2) @t220) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t41 @t10 @t5900) @t5882)))) % 6.71/6.99 (assume @p4616 (forall @t5904 (= (tptp.c_New__Random__Sequence_Oneg__map @t41 @t10 @t2 @t60) (tptp.c_New__Random__Sequence_Oneg__bind @t41 @t10 @t60 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5898) @t41 @t5903) @t2))))) % 6.71/6.99 (assume @p4617 (forall @t5905 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5903 @t51) @t5865) @t5864) @t5863) (tptp.c_New__DSequence_Oneg__single @t10 @t51)))) % 6.71/6.99 (assume @p4618 (forall @t5895 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t41 @t10 @t3274 @t2) @t5865) @t5864) @t5863) (tptp.c_New__DSequence_Opos__bind @t41 @t10 @t5866 @t5894)))) % 6.71/6.99 (assume @p4619 (forall @t5906 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t31 @t30) @t5902) (tptp.c_Lazy__Sequence_Ohb__single @t31 @t30)))) % 6.71/6.99 (assume @p4620 (forall @t5904 (= (tptp.c_New__Random__Sequence_Opos__map @t41 @t10 @t2 @t60) (tptp.c_New__Random__Sequence_Opos__bind @t41 @t10 @t60 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5893) @t41 @t5907) @t2))))) % 6.71/6.99 (assume @p4621 (forall @t5905 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5907 @t51) @t5865) @t5864) @t5863) (tptp.c_New__DSequence_Opos__single @t10 @t51)))) % 6.71/6.99 (assume @p4622 (forall @t4941 (= (tptp.hAPP @t4938 @t5908) @t5370))) % 6.71/6.99 (assume @p4623 (forall (@list @t4934 @t64 @t4935 @t30 @t31) (= (tptp.c_List_Osplice @t31 @t4979 @t5391) (tptp.hAPP @t4976 (tptp.hAPP @t5226 @t5908))))) % 6.71/6.99 (assume @p4624 (forall @t5379 (= (tptp.c_List_Osplice @t31 @t5266 @t4934) @t4934))) % 6.71/6.99 (assume @p4625 (forall @t5239 (= (tptp.c_List_Osplice @t31 @t4935 @t5266) @t4935))) % 6.71/6.99 (assume @p4626 (forall (@list @t5909 @t1411 @t31) (= (tptp.c_List_Osplice @t31 @t5910 @t5266) @t5910))) % 6.71/6.99 (assume @p4627 (forall @t5906 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t31 @t30) @t5902) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle @t31) @t30)))) % 6.71/6.99 (assume @p4628 (forall @t2730 (= (tptp.c_Wellfounded_Oacyclic @t10 (tptp.hAPP @t4533 (tptp.hAPP @t4209 (tptp.c_Predicate_Oconversep @t10 @t10 @t2727)))) @t4716))) % 6.71/6.99 (assume @p4629 (forall @t4853 (= (tptp.c_Predicate_Oconversep @t41 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3418) @t2727) @t3975)) (tptp.hAPP (tptp.hAPP @t3346 @t5912) @t5911)))) % 6.71/6.99 (assume @p4630 (forall @t5916 (=> @t5915 @t5913))) % 6.71/6.99 (assume @p4631 (forall @t4670 (=> @t3934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5914 @t248) @t173))))) % 6.71/6.99 (assume @p4632 (forall (@list @t938 @t937 @t2727 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5914 @t937) @t938)) @t5054))) % 6.71/6.99 (assume @p4633 (forall @t5916 (= @t5915 @t5913))) % 6.71/6.99 (assume @p4634 (forall @t4652 (= (tptp.c_Predicate_Oconversep @t41 @t10 @t5914) @t2727))) % 6.71/6.99 (assume @p4635 (forall @t164 (= (tptp.c_Predicate_Oconversep @t10 @t10 tptp.c_fequal) tptp.c_fequal))) % 6.71/6.99 (assume @p4636 (forall @t107 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t10 (tptp.hAPP (tptp.hAPP @t4200 @t4418) tptp.c_fequal)) @t51) @t97)) @t628))) % 6.71/6.99 (assume @p4637 (forall @t4856 (= (tptp.c_Predicate_Oconversep @t41 @t10 (tptp.c_Predicate_Opred__comp @t41 @t2989 @t10 @t2727 @t3975)) (tptp.c_Predicate_Opred__comp @t10 @t2989 @t41 (tptp.c_Predicate_Oconversep @t2989 @t10 @t3975) (tptp.c_Predicate_Oconversep @t41 @t2989 @t2727))))) % 6.71/6.99 (assume @p4638 (forall @t4853 (= (tptp.c_Predicate_Oconversep @t41 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3418) @t2727) @t3975)) (tptp.hAPP (tptp.hAPP @t3315 @t5912) @t5911)))) % 6.71/6.99 (assume @p4639 (forall (@list @t97 @t51 @t2727 @t41 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t10 @t41 @t4667) @t51) @t97)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4162 @t3998) @t4851))))) % 6.71/6.99 (assume @p4640 (forall (@list @t5919 @t5920 @t41 @t10) (= (tptp.c_Lazy__Sequence_Oproduct @t10 @t41 @t5920 @t5919) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t10 @t2097 @t5920) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5918 @t5917 @t10) (tptp.c_Lazy__Sequence_Obind @t41 @t2097 @t5919)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3310 @t5918 @t10) (tptp.hAPP (tptp.c_COMBB @t2097 @t5917 @t41) (tptp.c_Lazy__Sequence_Osingle @t2097))) @t3303)))))) % 6.71/6.99 (assume @p4641 (forall @t5922 (=> @t969 (= (tptp.hAPP @t5461 @t5921) (tptp.c_List_Oreplicate @t31 @t1244 @t30))))) % 6.71/6.99 (assume @p4642 (forall @t5011 (= (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t4923 @t5923) @t51) @t5923))) % 6.71/6.99 (assume @p4643 (forall @t5924 (= (tptp.hAPP @t4938 @t5921) @t176))) % 6.71/6.99 (assume @p4644 (forall (@list @t5925 @t151 @t10 @t41) (= (tptp.hAPP (tptp.hAPP @t5536 (tptp.hAPP @t3367 @t151)) @t5925) (tptp.c_List_Oreplicate @t10 (tptp.hAPP @t5151 @t5925) @t151)))) % 6.71/6.99 (assume @p4645 (forall @t5119 (= (tptp.hAPP @t5926 @t4979) (tptp.hAPP @t4976 (tptp.hAPP @t5926 @t4935))))) % 6.71/6.99 (assume @p4646 (forall @t5924 (= (tptp.c_List_Oreplicate @t31 @t177 @t30) (tptp.hAPP @t4976 @t5921)))) % 6.71/6.99 (assume @p4647 (forall @t5924 (= (tptp.hAPP @t5807 @t5921) @t5921))) % 6.71/6.99 (assume @p4648 (forall @t5929 (= (tptp.hAPP @t5244 @t5928) (tptp.c_List_Oreplicate @t31 (tptp.hAPP @t5927 @t208) @t30)))) % 6.71/6.99 (assume @p4649 (forall @t5929 (= (tptp.hAPP @t5423 @t5928) (tptp.c_List_Oreplicate @t31 (tptp.hAPP (tptp.hAPP @t911 @t208) @t209) @t30)))) % 6.71/6.99 (assume @p4650 (forall @t5922 (=> @t969 (= (tptp.hAPP @t5450 @t5921) @t30)))) % 6.71/6.99 (assume @p4651 (forall @t5922 (=> @t969 (= (tptp.c_List_Olast @t31 @t5921) @t30)))) % 6.71/6.99 (assume @p4652 (forall (@list @t64 @t211 @t30 @t209 @t10 @t31) (= (tptp.hAPP (tptp.hAPP @t5163 @t5930) (tptp.c_List_Oreplicate @t10 @t211 @t64)) (tptp.c_List_Oreplicate @t5166 (tptp.hAPP @t5927 @t211) @t3993)))) % 6.71/7.00 (assume @p4653 (forall @t5932 (= (forall @t7 (=> @t5931 @t168)) (or @t4396 @t971)))) % 6.71/7.00 (assume @p4654 (forall @t5932 (= (exists @t7 (and @t5931 @t168)) (and @t4396 @t972)))) % 6.71/7.00 (assume @p4655 (forall (@list @t97 @t115 @t51 @t181 @t10) (= (= (tptp.c_List_Oreplicate @t10 @t181 @t51) @t5933) (and @t721 (=> (not @t996) @t98))))) % 6.71/7.00 (assume @p4656 (forall (@list @t30 @t31 @t176 @t209) (=> @t5111 (= (tptp.hAPP (tptp.hAPP @t5077 @t5921) @t209) @t30)))) % 6.71/7.00 (assume @p4657 (forall (@list @t30 @t193 @t176 @t31) (= (tptp.c_List_Oreplicate @t31 @t1304 @t30) (tptp.hAPP @t5926 (tptp.c_List_Oreplicate @t31 @t193 @t30))))) % 6.71/7.00 (assume @p4658 (forall (@list @t208 @t30 @t176 @t31) (= (tptp.hAPP @t5926 @t5928) (tptp.hAPP (tptp.hAPP @t5354 @t5928) @t5921)))) % 6.71/7.00 (assume @p4659 (forall (@list @t115 @t10 @t51 @t60) (and (=> @t63 (= @t5935 @t5934)) (=> @t5715 (= @t5935 @t5267))))) % 6.71/7.00 (assume @p4660 (forall (@list @t209 @t31) (= (tptp.c_List_Oconcat @t31 (tptp.c_List_Oreplicate @t4937 @t209 @t5266)) @t5266))) % 6.71/7.00 (assume @p4661 (forall @t5936 (= (= @t5934 @t5267) @t971))) % 6.71/7.00 (assume @p4662 (forall @t5936 (= (= @t5267 @t5934) @t971))) % 6.71/7.00 (assume @p4663 (forall @t35 (= (tptp.c_List_Oreplicate @t31 @t890 @t30) @t5266))) % 6.71/7.00 (assume @p4664 (forall (@list @t51 @t115 @t2 @t10 @t41) (= (tptp.hAPP @t5537 (tptp.c_List_Oreplicate @t41 @t115 @t51)) (tptp.c_List_Oreplicate @t10 @t115 @t53)))) % 6.71/7.00 (assume @p4665 (forall (@list @t97 @t115 @t51 @t10) (= (tptp.hBOOL (tptp.hAPP @t326 (tptp.hAPP @t5094 @t5933))) (and @t98 @t972)))) % 6.71/7.00 (assume @p4666 (forall (@list @t30 @t209 @t31) (= (tptp.hAPP (tptp.hAPP @t5354 @t5930) @t5292) (tptp.hAPP @t4976 @t5930)))) % 6.71/7.00 (assume @p4667 (forall (@list @t220 @t51 @t10) (= (tptp.hAPP (tptp.hAPP @t5775 (tptp.hAPP (tptp.c_COMBK @t10 tptp.tc_Nat_Onat) @t51)) (tptp.c_List_Oupt @t890 @t220)) (tptp.c_List_Oreplicate @t10 @t220 @t51)))) % 6.71/7.00 (assume @p4668 (forall @t5939 @t5938)) % 6.71/7.00 (assume @p4669 (forall @t5939 (and (=> @t971 (= @t5937 @t146)) @t5938))) % 6.71/7.00 (assume @p4670 (forall @t5936 (= (tptp.hAPP @t5094 (tptp.c_List_Oreplicate @t10 @t116 @t51)) @t745))) % 6.71/7.00 (assume @p4671 (forall (@list @t289 @t10) (=> @t5943 (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4706 @t289) (tptp.c_Lazy__Sequence_Oappend @t4706 (tptp.hAPP @t5940 @t5267) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5941) @t1728) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t4974 @t4706 (tptp.c_Lazy__Sequence_Oproduct @t10 @t4706 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t5942) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t4706 @t5942))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4706 @t5941) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4998 (tptp.tc_fun @t4706 @t5941) @t10) (tptp.hAPP (tptp.c_COMBB @t4706 @t5941 @t4706) @t5940)) @t4972)))) (tptp.c_Lazy__Sequence_Oempty @t4706))))))) % 6.71/7.00 (assume @p4672 (forall @t4187 (= (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t10 @t10 @t10 @t3274 tptp.c_fequal)) @t3274))) % 6.71/7.00 (assume @p4673 (forall (@list @t528 @t10 @t31) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t31) @t5943) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t5166 @t528) (tptp.c_Lazy__Sequence_Oproduct @t31 @t10 (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t31 @t528) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy @t10 @t528)))))) % 6.71/7.00 (assume @p4674 (forall (@list @t220 @t5944 @t5611 @t10) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union @t10 @t5611 @t5944) @t220) (tptp.c_Lazy__Sequence_Oappend @t10 @t5945 (tptp.hAPP @t5944 @t220))))) % 6.71/7.00 (assume @p4675 (forall (@list @t5946 @t81 @t31) (= (tptp.hAPP @t5948 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t31 @t81 @t5946)) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t5948 @t5946)) @t936)))) % 6.71/7.00 (assume @p4676 (forall (@list @t5949 @t5950 @t30 @t31) (= (tptp.c_Lazy__Sequence_Oappend @t31 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t31 @t30 @t5950) @t5949) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t31 @t30 (tptp.c_Lazy__Sequence_Oappend @t31 @t5950 @t5949))))) % 6.71/7.00 (assume @p4677 (forall (@list @t5951 @t3429 @t5952 @t173 @t10) (= (= @t5953 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t3429 @t5951)) (and @t3430 (= @t5952 @t5951))))) % 6.71/7.00 (assume @p4678 (forall (@list @t5863 @t5864 @t5865 @t3924 @t3923 @t10) (= (tptp.c_New__Random__Sequence_Opos__union @t10 @t3923 @t3924 @t5865 @t5864 @t5863) (tptp.c_New__DSequence_Opos__union @t10 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3923 @t5865) @t5864) @t5863) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3924 @t5865) @t5864) @t5863))))) % 6.71/7.00 (assume @p4679 (forall (@list @t5952 @t173 @t3186 @t10) (= (tptp.hAPP @t5954 @t5953) (tptp.hAPP (tptp.hAPP @t1248 (tptp.hAPP @t3187 (tptp.hAPP @t5954 @t5952))) @t936)))) % 6.71/7.00 (assume @p4680 (forall (@list @t209 @t528) (and (=> @t5957 (= @t5956 @t5958)) (=> (not @t5957) (= @t5956 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5955 @t209) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t528 @t5296))))))) % 6.71/7.00 (assume @p4681 (forall (@list @t220 @t289) (=> (tptp.hBOOL (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t3198 @t289) @t220))) (and (=> @t5960 (= @t5959 @t5958)) (=> (not @t5960) (= @t5959 (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP @t5955 @t220) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t289 @t1586)))))))) % 6.71/7.00 (assume @p4682 (forall (@list @t528) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint @t528) (tptp.c_Lazy__Sequence_Osmall__lazy_H @t528 (tptp.hAPP @t1519 @t528))))) % 6.71/7.00 (assume @p4683 (forall @t3922 (=> (tptp.hBOOL (tptp.hAPP @t5961 @t3921)) (=> (forall (@list @t1489 @t898) (=> (tptp.hBOOL (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t3198 @t1489) @t898))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1521 @t1489) @t898))) (tptp.hBOOL (tptp.hAPP @t1490 @t5332))) (tptp.hBOOL (tptp.hAPP @t1490 @t898))))) @t3915)))) % 6.71/7.00 (assume @p4684 (forall (@list @t5611 @t10) (= (tptp.hAPP @t5964 @t5611) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5969 @t890 (tptp.hAPP @t5968 (tptp.hAPP (tptp.c_COMBK @t5967 @t10) (tptp.hAPP (tptp.hAPP @t5966 (tptp.hAPP @t5965 @t5964)) @t1243))) @t5963)))) % 6.71/7.00 (assume @p4685 (forall (@list @t5611 @t3975 @t10) (= (tptp.hAPP @t5970 @t5611) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat @t5969 @t890 (tptp.hAPP @t5968 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Nat_Onat @t5967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5971 (tptp.tc_fun tptp.tc_Nat_Onat @t5967) @t10) @t5966) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5967 @t5971 @t10) @t5965) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5967 @t5967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3629 (tptp.tc_fun @t5967 @t5967) @t10) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t5881)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t3629 @t10) @t1248) @t3975))) @t5970)))) @t1243)) @t5963)))) % 6.71/7.00 (assume @p4686 (forall (@list @t5611 @t1 @t2 @t41 @t10) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t41 @t2 @t1 @t5611) (tptp.c_Option_Ooption_Ooption__case @t10 (tptp.tc_prod @t41 @t5972) @t2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t5972 @t10) @t1) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield @t41) @t5611))))) % 6.71/7.00 (assume @p4687 (forall @t164 (= (tptp.c_Lazy__Sequence_Oyieldn @t10) (tptp.c_Lazy__Sequence_Oanamorph @t5881 @t10 @t5962)))) % 6.71/7.00 (assume @p4688 (forall @t5975 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t41 @t287 @t285 @t5974) @t5973))) % 6.71/7.00 (assume @p4689 (forall @t5977 (=> @t5976 (tptp.c_Relation_Orefl__on @t41 (tptp.hAPP (tptp.hAPP @t3209 @t728) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t4128) @t728) @t2727))))) % 6.71/7.00 (assume @p4690 (forall @t5100 (= @t5980 @t5113))) % 6.71/7.00 (assume @p4691 (forall (@list @t64 @t31) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember @t31) @t5266) @t64))))) % 6.71/7.00 (assume @p4692 (forall @t164 (= @t5978 @t5094))) % 6.71/7.00 (assume @p4693 (forall @t5290 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5978 @t4992) @t97)) (or @t98 (tptp.hBOOL (tptp.hAPP @t5979 @t97)))))) % 6.71/7.00 (assume @p4694 (forall @t5011 (= @t5113 @t5980))) % 6.71/7.00 (assume @p4695 (forall @t2986 (=> @t2929 (=> (tptp.hBOOL (tptp.hAPP @t2086 @t728)) (=> (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t414 @t728)) @t2084)) (=> (forall (@list @t5982) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t5982) @t728)) (forall (@list @t5981) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t5981) @t728)) (=> (not (= @t5982 @t5981)) (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t170 @t5982)) (=> (tptp.hBOOL (tptp.hAPP @t170 @t5981)) @t2860)))))))) (= (tptp.hAPP @t2915 @t3451) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t23 @t41) @t2915) @t728)))))))) % 6.71/7.00 (assume @p4696 (forall (@list @t289 @t10 @t60) (and (=> @t5984 (= @t5983 @t5652)) (=> (not @t5984) (= @t5983 @t289))))) % 6.71/7.00 (assume @p4697 (forall (@list @t2989 @t41 @t291 @t248 @t20 @t21 @t10) (=> @t3767 @t3218))) % 6.71/7.00 (assume @p4698 (forall @t3768 (=> @t3229 (not (forall @t7 (=> @t250 (not @t3766))))))) % 6.71/7.00 (assume @p4699 (forall @t2085 (=> (tptp.hBOOL (tptp.hAPP @t5073 @t2083)) (exists @t40 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t5679 @t2083)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP @t4923 @t3)) @t36)))))))) % 6.71/7.00 (assume @p4700 (forall @t471 (= (tptp.hAPP @t5948 @t5985) @t890))) % 6.71/7.00 (assume @p4701 (forall @t5285 (= (tptp.hAPP @t5954 @t5986) @t890))) % 6.71/7.00 (assume @p4702 (forall (@list @t5949 @t31) (= (tptp.c_Lazy__Sequence_Oappend @t31 @t5985 @t5949) @t5949))) % 6.71/7.00 (assume @p4703 (forall @t5989 (not (= @t5985 @t5988)))) % 6.71/7.00 (assume @p4704 (forall @t5989 (not (= @t5988 @t5985)))) % 6.71/7.00 (assume @p4705 (forall @t5325 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case @t10 @t41 @t287 @t285 @t5990) @t287))) % 6.71/7.00 (assume @p4706 (forall @t1242 (= (tptp.c_List_Olist__all tptp.tc_Int_Oint @t60 @t5181) @t5991))) % 6.71/7.00 (assume @p4707 (forall @t1242 (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint @t60 @t5181) (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) @t60) @t220 @t902))))) % 6.71/7.00 (assume @p4708 (forall @t1242 (= @t5991 (forall @t7 (=> (tptp.hBOOL (tptp.hAPP @t1722 @t1587)) @t168))))) % 6.71/7.00 (assume @p4709 (forall @t2913 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t287 @t285 @t2900) (tptp.hAPP @t2912 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t287 @t285 @t2899))))) % 6.71/7.00 (assume @p4710 (forall (@list @t5864 @t1 @t10 @t5865) (and (=> @t6002 (= @t6001 @t6003)) (=> (not @t6002) (= @t6001 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4015 @t5994 @t4015 @t5998) (tptp.hAPP @t1 @t5864)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6000 @t5999 @t5994) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t4015 @t5995 @t4015 @t5998) (tptp.c_Random__Sequence_ORandom @t10 @t1 (tptp.hAPP (tptp.hAPP @t2734 @t5865) @t2724) @t5864))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5996 @t6000 @t5994) (tptp.hAPP (tptp.c_COMBB @t5995 @t5999 @t5995) @t5997)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5995 @t5996 @t5994) (tptp.c_DSequence_Ounion @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t5995 @t5994) @t5993) (tptp.c_Product__Type_Ofst @t10 @t5992))))))))))) % 6.71/7.00 (assume @p4711 (forall @t976 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t287 @t285 @t2721) @t287))) % 6.71/7.00 (assume @p4712 (forall (@list @t5864 @t5865 @t10) (= (tptp.c_Random__Sequence_Oempty @t10 @t5865 @t5864) @t6003))) % 6.71/7.00 (assume @p4713 (forall (@list @t5864 @t5865 @t51 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t6004 @t51) @t5865) @t5864) (tptp.hAPP @t5997 (tptp.hAPP @t5993 @t51))))) % 6.71/7.00 (assume @p4714 (forall @t5904 (= (tptp.c_Random__Sequence_Omap @t41 @t10 @t2 @t60) (tptp.c_Random__Sequence_Obind @t41 @t10 @t60 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5999)) @t41 @t6004) @t2))))) % 6.71/7.00 (assume @p4715 (forall (@list @t2989 @t2 @t57 @t2934 @t10 @t41 @t60) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t3952) (tptp.hAPP @t3999 @t2934))) (=> (forall @t284 (=> (tptp.hBOOL (tptp.hAPP @t4013 @t3)) (tptp.hBOOL (tptp.hAPP @t57 @t2266)))) (tptp.hBOOL (tptp.hAPP @t57 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t41 @t10 @t2989) @t2) @t2934))))))) % 6.71/7.00 (assume @p4716 (forall (@list @t21 @t60 @t10 @t41) (= (tptp.hAPP (tptp.c_Relation_OImage @t41 @t10 @t4632) @t21) (tptp.hAPP @t4392 (tptp.hAPP @t4581 (tptp.hAPP (tptp.hAPP @t3249 @t6005) @t4631)))))) % 6.71/7.00 (assume @p4717 (forall @t4837 (=> @t5015 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5042 @t513)) @t5012)) (=> @t6006 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4932 (tptp.hAPP @t5013 @t513)) @t5012))))))) % 6.71/7.00 (assume @p4718 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.71/7.00 (assume @p4719 (forall (@list @t3924 @t41 @t3923 @t10) (=> (tptp.c_Relation_Otrans @t10 @t3923) (=> (tptp.c_Relation_Otrans @t41 @t3924) (tptp.c_Relation_Otrans @t2097 (tptp.c_Wellfounded_Olex__prod @t10 @t41 @t3923 @t3924)))))) % 6.71/7.00 (assume @p4720 (forall @t2730 (= @t6006 (forall @t284 (=> @t4272 (forall @t2911 (=> @t6007 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP @t3832 @t2910)) @t2727))))))))) % 6.71/7.00 (assume @p4721 (forall (@list @t291 @t248 @t173 @t2727 @t10) (=> @t6006 (=> @t4215 (=> @t4804 (tptp.hBOOL (tptp.hAPP @t4798 @t2727))))))) % 6.71/7.00 (assume @p4722 (forall @t55 (= @t243 (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4482 @t4566) (tptp.hAPP (tptp.hAPP @t4481 (tptp.hAPP @t4480 (tptp.hAPP @t4524 @t4478))) @t169)))))) % 6.71/7.00 (assume @p4723 (forall @t2730 (=> @t6006 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 (tptp.hAPP @t4816 @t2727)) @t2727))))) % 6.71/7.00 (assume @p4724 (forall @t2730 (tptp.c_Relation_Otrans @t10 @t4806))) % 6.71/7.00 (assume @p4725 (forall @t164 (tptp.c_Relation_Otrans @t10 @t4811))) % 6.71/7.00 (assume @p4726 (forall @t2730 (=> @t6006 (= @t4788 @t2727)))) % 6.71/7.00 (assume @p4727 (forall @t2730 (tptp.c_Relation_Otrans @t10 @t4788))) % 6.71/7.00 (assume @p4728 (forall @t55 (tptp.c_Relation_Otrans @t10 @t4198))) % 6.71/7.00 (assume @p4729 (forall @t164 (tptp.c_Relation_Otrans @t23 @t4045))) % 6.71/7.00 (assume @p4730 (forall @t2730 (=> @t6006 (tptp.c_Relation_Otrans @t4706 @t5012)))) % 6.71/7.00 (assume @p4731 (forall @t2730 (=> @t6006 (tptp.c_Relation_Otrans @t4706 @t5040)))) % 6.71/7.00 (assume @p4732 (forall @t4027 (not (exists @t7 (and @t171 @t168))))) % 6.71/7.00 (assume @p4733 (forall @t2730 (= (tptp.c_Relation_Otrans @t10 @t4843) @t6006))) % 6.71/7.00 (assume @p4734 (forall (@list @t57 @t41 @t21 @t10) (=> @t2064 (= (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t4408 (tptp.hAPP @t4560 (tptp.hAPP (tptp.hAPP @t3282 @t4341) @t57))))) (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t2077 (tptp.hAPP @t4408 (tptp.hAPP @t4562 @t3)))))))))) % 6.71/7.00 (assume @p4735 (forall @t4027 (= (exists @t7 (and (tptp.hBOOL (tptp.hAPP @t170 @t165)) @t168)) @t1726))) % 6.71/7.00 (assume @p4736 (forall @t4191 (=> @t6006 (=> (tptp.c_Relation_Otrans @t10 @t3975) (tptp.c_Relation_Otrans @t10 @t4289))))) % 6.71/7.00 (assume @p4737 (forall @t164 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBex @t10)))) % 6.71/7.00 (assume @p4738 (forall @t2730 (=> @t6006 (tptp.c_Relation_Otrans @t10 @t4812)))) % 6.71/7.00 (assume @p4739 (forall @t4677 (=> @t6006 (tptp.c_Relation_Otrans @t41 @t4675)))) % 6.71/7.00 (assume @p4740 (forall @t5132 (= @t5875 @t5872))) % 6.71/7.00 (assume @p4741 (forall @t3384 (= @t2225 (tptp.c_Complete__Lattice_OSup__class_OSup @t23 @t6008)))) % 6.71/7.00 (assume @p4742 (forall @t3384 (= @t3225 (tptp.c_Complete__Lattice_OInf__class_OInf @t23 @t6008)))) % 6.71/7.00 (assume @p4743 (forall @t554 (=> @t223 (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup @t148 @t21) @t51) (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t6011))))) % 6.71/7.00 (assume @p4744 (forall @t554 (=> @t223 (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf @t148 @t21) @t51) (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t6011))))) % 6.71/7.00 (assume @p4745 (forall @t4323 (=> @t4322 (=> @t4321 (=> @t4320 (=> (forall @t7 (=> @t4319 (exists @t412 (and @t4318 @t4310)))) (tptp.c_Wellfounded_Omax__extp @t10 @t3274 @t337 @t3386))))))) % 6.71/7.00 (assume @p4746 (forall @t2730 (= @t6012 (tptp.c_Relation_Otrans @t10 @t4540)))) % 6.71/7.00 (assume @p4747 (forall @t4872 (=> @t6012 (=> @t5053 (=> (tptp.hBOOL (tptp.hAPP @t6013 @t513)) (tptp.hBOOL (tptp.hAPP @t4543 @t513))))))) % 6.71/7.00 (assume @p4748 (forall @t4187 (=> @t4248 (not (=> @t6017 @t6016))))) % 6.71/7.00 (assume @p4749 (forall @t4187 (=> @t6017 (=> @t6015 (=> @t6014 @t4248))))) % 6.71/7.00 (assume @p4750 (forall @t4813 (=> @t6018 (=> @t5053 (tptp.hBOOL (tptp.hAPP @t6013 @t51)))))) % 6.71/7.00 (assume @p4751 (forall @t4187 (= @t4248 (and @t6017 @t6015 @t6014)))) % 6.71/7.00 (assume @p4752 (forall @t2730 (=> @t6006 (=> @t6019 (tptp.c_Relation_Otrans @t10 @t4819))))) % 6.71/7.00 (assume @p4753 (forall @t2730 (= (tptp.c_Relation_Oantisym @t10 @t4843) @t6019))) % 6.71/7.00 (assume @p4754 (forall @t164 (tptp.c_Relation_Oantisym @t10 @t3775))) % 6.71/7.00 (assume @p4755 (forall @t164 (tptp.c_Relation_Oantisym @t10 @t4811))) % 6.71/7.00 (assume @p4756 (forall @t55 (tptp.c_Relation_Oantisym @t10 @t4198))) % 6.71/7.00 (assume @p4757 (forall @t4191 (=> @t4190 (=> (tptp.c_Relation_Oantisym @t10 @t3975) @t6019)))) % 6.71/7.00 (assume @p4758 (forall @t2730 (= @t6019 (forall @t284 (=> @t4272 (=> @t4786 @t4036)))))) % 6.71/7.00 (assume @p4759 (forall @t6021 (=> @t6019 (=> @t4215 (=> @t6020 @t347))))) % 6.71/7.00 (assume @p4760 (forall @t2730 (= (tptp.c_Relation_Oantisym @t10 @t4812) @t6019))) % 6.71/7.00 (assume @p4761 (forall @t2730 (=> @t4720 (tptp.c_Relation_Oantisym @t10 @t4806)))) % 6.71/7.00 (assume @p4762 (forall (@list @t51 @t21 @t6024 @t2989 @t10 @t41) (= (tptp.c_Partial__Function_Ofun__lub @t41 @t10 @t2989 @t6024 @t21 @t51) (tptp.hAPP @t6024 (tptp.hAPP @t4408 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6022 tptp.tc_HOL_Obool @t41) (tptp.c_HOL_OEx @t3504)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6022 @t6022 @t41) (tptp.hAPP (tptp.c_COMBS @t3504 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2687 @t3504) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3504 @t6022 tptp.tc_HOL_Obool) (tptp.c_member @t3504)) @t21)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t41 @t6023 @t6022) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 (tptp.tc_fun @t6023 @t6022) @t41) (tptp.c_COMBB @t41 tptp.tc_HOL_Obool @t3504)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3504 @t2989 @t41) (tptp.c_COMBI @t3504)) @t51))))))))) % 6.71/7.00 (assume @p4763 (forall @t2730 (=> @t6025 (=> @t6006 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3774 @t4860) @t2727)))))) % 6.71/7.00 (assume @p4764 (forall @t2730 (= @t6025 (forall @t284 (=> @t4272 @t4786))))) % 6.71/7.00 (assume @p4765 (forall @t6021 (=> @t6025 (=> @t4215 @t6020)))) % 6.71/7.00 (assume @p4766 (forall @t2730 (=> @t6025 (tptp.c_Relation_Osym @t10 @t4806)))) % 6.71/7.00 (assume @p4767 (forall @t164 (tptp.c_Relation_Osym @t10 @t4811))) % 6.71/7.00 (assume @p4768 (forall @t4191 (=> @t6025 (=> @t6026 (tptp.c_Relation_Osym @t10 @t4194))))) % 6.71/7.00 (assume @p4769 (forall @t2730 (=> @t6025 (tptp.c_Relation_Osym @t10 @t4788)))) % 6.71/7.00 (assume @p4770 (forall @t55 (tptp.c_Relation_Osym @t10 @t4198))) % 6.71/7.00 (assume @p4771 (forall @t2730 (=> @t6025 (tptp.c_Relation_Osym @t4706 @t5040)))) % 6.71/7.00 (assume @p4772 (forall @t2730 (= @t6025 (= @t4843 @t2727)))) % 6.71/7.00 (assume @p4773 (forall @t2730 (= (tptp.c_Relation_Osym @t10 @t4843) @t6025))) % 6.71/7.00 (assume @p4774 (forall @t4191 (=> @t6025 (=> @t6026 (tptp.c_Relation_Osym @t10 @t4289))))) % 6.71/7.00 (assume @p4775 (forall @t2730 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4193 @t4843)))) % 6.71/7.00 (assume @p4776 (forall @t4677 (=> @t6025 (tptp.c_Relation_Osym @t41 @t4675)))) % 6.71/7.00 (assume @p4777 (forall @t2730 (tptp.c_Relation_Osym @t10 (tptp.hAPP @t4288 @t4843)))) % 6.71/7.00 (assume @p4778 (forall @t4204 (= @t4218 (and @t4284 @t6025 @t6006)))) % 6.71/7.00 (assume @p4779 (forall @t4204 (=> @t4284 (=> @t6025 (=> @t6006 @t4218))))) % 6.71/7.00 (assume @p4780 (forall @t4204 (=> @t4218 (not (=> @t4284 (=> @t6025 (not @t6006))))))) % 6.71/7.00 (assume @p4781 (forall @t2730 (= @t6018 (tptp.c_Relation_Osym @t10 @t4540)))) % 6.71/7.00 (assume @p4782 (forall (@list @t10 @t3274) (=> @t6029 (=> @t6015 (=> @t6014 @t6027))))) % 6.71/7.00 (assume @p4783 (forall @t4187 (= @t6027 (and @t6029 @t6015 @t6014)))) % 6.71/7.00 (assume @p4784 (forall @t4187 (=> @t4248 @t6027))) % 6.71/7.00 (assume @p4785 (forall @t4256 (=> @t6027 @t4255))) % 6.71/7.00 (assume @p4786 (forall @t4254 (=> @t6027 @t4253))) % 6.71/7.00 (assume @p4787 (forall @t4187 (= @t6027 (and @t6029 (forall @t284 (= @t4247 (and @t6028 (tptp.hBOOL (tptp.hAPP @t4244 @t282)) @t4246))))))) % 6.71/7.00 (assume @p4788 (forall @t4187 (=> @t6027 (not (=> @t6029 @t6016))))) % 6.71/7.00 (assume @p4789 (forall @t4187 (=> @t6027 (exists @t1493 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t1489) (tptp.hAPP (tptp.hAPP @t4565 @t4557) (tptp.hAPP (tptp.hAPP @t4764 (tptp.hAPP @t4340 (tptp.hAPP @t4206 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 tptp.tc_HOL_Obool) @t3274) @t3387)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t23 @t3925 @t23) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t113 (tptp.tc_fun @t3925 @t23) @t23) @t4325) tptp.c_fequal)) @t3274))))))))) % 6.71/7.00 (assume @p4790 (forall @t1027 (= @t1074 @t6031))) % 6.71/7.00 (assume @p4791 (forall @t1027 (=> @t1074 @t6031))) % 6.71/7.00 (assume @p4792 (forall (@list @t97 @t2 @t41 @t10) (= @t6032 (tptp.c_Hilbert__Choice_OEps @t10 (tptp.hAPP @t4339 @t97))))) % 6.71/7.00 (assume @p4793 (forall @t4343 (= @t6034 (tptp.c_Hilbert__Choice_OEps @t10 @t4342)))) % 6.71/7.00 (assume @p4794 (forall @t164 (= (tptp.c_Hilbert__Choice_Oinv__into @t10 @t10 @t165 @t4583) @t4583))) % 6.71/7.00 (assume @p4795 (forall @t908 (=> @t1074 (= (tptp.hAPP @t6030 @t53) @t51)))) % 6.71/7.00 (assume @p4796 (forall @t935 (=> @t1074 (=> @t928 (= @t6032 @t51))))) % 6.71/7.00 (assume @p4797 (forall @t1229 (=> @t1025 (=> @t351 (= (tptp.hAPP @t6033 @t53) @t51))))) % 6.71/7.00 (assume @p4798 (forall @t1069 (=> @t1025 (=> @t351 (=> @t928 (= @t6035 @t51)))))) % 6.71/7.00 (assume @p4799 (forall (@list @t97 @t51 @t2 @t21 @t41 @t10) (=> (= @t6034 @t6035) (=> @t1209 (=> @t1189 @t98))))) % 6.71/7.00 (assume @p4800 (forall (@list @t21 @t2 @t41 @t51 @t10) (=> (tptp.hBOOL (tptp.hAPP @t326 @t795)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t796 (tptp.hAPP @t6036 @t51)) @t21))))) % 6.71/7.00 (assume @p4801 (forall (@list @t21 @t2 @t41 @t97 @t10) (=> (tptp.hBOOL (tptp.hAPP @t349 @t795)) (= (tptp.hAPP @t2 (tptp.hAPP @t6036 @t97)) @t97)))) % 6.71/7.00 (assume @p4802 (forall @t258 (= @t879 (forall @t7 (= (tptp.hAPP @t2 (tptp.hAPP @t6037 @t3)) @t3))))) % 6.71/7.00 (assume @p4803 (forall (@list @t97 @t2 @t10 @t41) (=> @t879 (= (tptp.hAPP @t2 (tptp.hAPP @t6037 @t97)) @t97)))) % 6.71/7.00 (assume @p4804 (forall @t828 (=> @t879 (= (tptp.hAPP @t794 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t6037) @t21)) @t21)))) % 6.71/7.00 (assume @p4805 (forall (@list @t4615 @t1202 @t21 @t2 @t10 @t41) (=> @t4618 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4615) @t1202)) (= (tptp.hAPP @t794 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t41 @t6036) @t4615)) @t4615))))) % 6.71/7.00 (assume @p4806 (forall @t3553 (=> @t1074 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t2989 @t10 (tptp.hAPP @t3610 @t6030)) @t2) @t1)))) % 6.71/7.00 (assume @p4807 (forall @t1027 (=> @t1074 (= (tptp.hAPP @t6038 @t858) @t165)))) % 6.71/7.00 (assume @p4808 (forall @t827 (=> @t1074 (= (tptp.hAPP @t6038 @t819) @t21)))) % 6.71/7.00 (assume @p4809 (forall (@list @t337 @t2 @t41 @t10) (=> @t1074 (= (tptp.hAPP @t6038 (tptp.hAPP @t818 @t337)) @t337)))) % 6.71/7.00 (assume @p4810 (forall @t258 (=> @t879 (tptp.c_Fun_Oinj__on @t10 @t41 @t6037 @t165)))) % 6.71/7.00 (assume @p4811 (forall (@list @t728 @t21 @t2 @t41 @t10) (=> @t1025 (=> (tptp.hBOOL (tptp.hAPP @t2907 @t21)) (= (tptp.hAPP (tptp.c_Set_Oimage @t41 @t10 @t6033) @t4022) @t728))))) % 6.71/7.00 (assume @p4812 (forall @t839 (=> @t838 (tptp.c_Fun_Oinj__on @t10 @t41 @t6036 @t20)))) % 6.71/7.00 (assume @p4813 (forall @t3727 (=> @t3726 (=> @t3725 (=> @t3724 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t2989 @t41 @t21 @t3612) @t51) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t2989 @t41 (tptp.c_Hilbert__Choice_Oinv__into @t2989 @t10 @t21 @t1)) (tptp.c_Hilbert__Choice_Oinv__into @t10 @t41 @t3723 @t2)) @t51))))))) % 6.71/7.00 (assume @p4814 (forall @t258 (= @t879 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t41 @t10 @t10 @t2) @t6037) @t4583)))) % 6.71/7.00 (assume @p4815 (forall (@list @t51 @t60 @t2 @t41 @t10) (=> @t1074 (=> (forall @t1180 (=> (tptp.hBOOL (tptp.hAPP @t4594 @t1181)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t6030 @t282))))) @t63)))) % 6.71/7.00 (assume @p4816 (forall (@list @t1 @t21 @t41 @t3230 @t10 @t2989) (=> @t3671 (=> (tptp.hBOOL (tptp.hAPP @t2063 @t3230)) (=> (forall @t7 (=> @t3234 @t3233)) (=> (forall @t7 (=> @t3234 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP @t411 @t3230)) (=> @t410 (= (tptp.hAPP (tptp.hAPP @t398 @t3232) (tptp.hAPP @t21 @t408)) @t825)))))) (= (tptp.hAPP @t6039 @t3242) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3203 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t393 @t2989 @t10) @t6039) @t21)) @t4519) @t3230)))))))) % 6.71/7.00 (assume @p4817 (forall @t4329 (=> @t5585 (=> (forall @t7 (tptp.hBOOL (tptp.hAPP @t60 @t6040))) @t4326)))) % 6.71/7.00 (assume @p4818 (forall @t4330 (=> @t5585 (not (forall @t7 (not (= @t97 @t6040))))))) % 6.71/7.00 (assume @p4819 (forall @t4719 (=> (forall @t1180 (=> @t6042 (tptp.hBOOL (tptp.hAPP @t60 @t6041)))) @t63))) % 6.71/7.00 (assume @p4820 (forall @t1855 (not (forall @t1180 (=> (= @t51 @t6041) (not @t6042)))))) % 6.71/7.00 (assume @p4821 (forall @t5325 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t41 @t287 @t285 @t5990) @t287))) % 6.71/7.00 (assume @p4822 (forall (@list @t181 @t57 @t115 @t60) (=> @t1533 (=> (tptp.hBOOL (tptp.hAPP @t57 @t181)) (=> @t1498 (=> (forall @t1398 (= (tptp.hBOOL (tptp.hAPP @t60 @t4771)) (tptp.hBOOL (tptp.hAPP @t57 @t1396)))) (= @t4030 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t57))))))))) % 6.71/7.00 (assume @p4823 (forall @t5975 (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t41 @t287 @t285 @t5974) (tptp.hAPP @t5973 (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec @t10 @t41 @t287 @t285 @t5952))))) % 6.71/7.00 (assume @p4824 (forall @t2011 (and (=> @t3006 (= @t6043 @t943)) (=> @t3007 (= @t6043 @t2721))))) % 6.71/7.00 (assume @p4825 (forall @t4410 (=> @t6044 (= (tptp.hAPP @t818 @t4393) (tptp.hAPP @t4408 (tptp.hAPP (tptp.hAPP @t5824 @t60) @t6030)))))) % 6.71/7.00 (assume @p4826 (forall @t55 (tptp.c_Fun_Obij__betw @t10 @t10 @t4583 @t21 @t21))) % 6.71/7.00 (assume @p4827 (forall @t397 (=> @t6045 (tptp.c_Fun_Obij__betw @t41 @t10 @t6033 @t20 @t21)))) % 6.71/7.00 (assume @p4828 (forall (@list @t173 @t1202 @t21 @t2 @t41 @t10) (=> @t6046 (=> @t344 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t41 @t10 @t1202 @t6033) @t173) @t829))))) % 6.71/7.00 (assume @p4829 (forall @t1027 (=> @t6044 (= (tptp.c_Hilbert__Choice_Oinv__into @t41 @t10 @t858 @t6030) @t2)))) % 6.71/7.00 (assume @p4830 (forall @t1027 (=> @t6044 (tptp.c_Fun_Obij__betw @t41 @t10 @t6030 @t858 @t165)))) % 6.71/7.00 (assume @p4831 (forall @t3553 (=> @t6044 (=> (tptp.c_Fun_Obij__betw @t2989 @t10 @t1 @t3609 @t165) (= (tptp.c_Hilbert__Choice_Oinv__into @t2989 @t41 @t3609 @t3612) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t2989 @t41 (tptp.c_Hilbert__Choice_Oinv__into @t2989 @t10 @t3609 @t1)) @t6030)))))) % 6.71/7.00 (assume @p4832 (forall (@list @t21 @t2 @t2989 @t6047 @t1202 @t3435 @t41 @t10) (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t3435 @t1202 @t6047) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4373) @t1202)) (= (tptp.c_Fun_Obij__betw @t2989 @t10 @t2 @t21 @t1202) (tptp.c_Fun_Obij__betw @t2989 @t41 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t41 @t2989 @t3435) @t2) @t21 @t6047)))))) % 6.71/7.00 (assume @p4833 (forall @t3553 (=> @t6044 (=> (tptp.c_Fun_Obij__betw @t41 @t2989 @t1 @t858 @t3609) (tptp.c_Fun_Obij__betw @t10 @t2989 @t3615 @t165 @t3609))))) % 6.71/7.00 (assume @p4834 (forall (@list @t6047 @t3435 @t2989 @t1202 @t21 @t2 @t41 @t10) (=> @t6046 (= (tptp.c_Fun_Obij__betw @t41 @t2989 @t3435 @t1202 @t6047) (tptp.c_Fun_Obij__betw @t10 @t2989 @t3616 @t21 @t6047))))) % 6.71/7.00 (assume @p4835 (forall (@list @t108 @t1 @t2989 @t20 @t21 @t2 @t41 @t10) (=> @t6045 (=> (tptp.c_Fun_Obij__betw @t41 @t2989 @t1 @t20 @t108) (tptp.c_Fun_Obij__betw @t10 @t2989 @t3615 @t21 @t108))))) % 6.71/7.00 (assume @p4836 (forall @t827 (=> @t6044 (= @t1201 @t1200)))) % 6.71/7.00 (assume @p4837 (forall @t1027 (=> @t1074 (=> @t6048 @t6044)))) % 6.71/7.00 (assume @p4838 (forall @t1027 (= @t6044 (and @t1074 @t6048)))) % 6.71/7.00 (assume @p4839 (forall (@list @t4615 @t20 @t1202 @t21 @t2 @t41 @t10) (=> @t6046 (=> @t26 (=> (= @t833 @t4615) @t6049))))) % 6.71/7.00 (assume @p4840 (forall @t827 (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t21 @t858) @t6048))) % 6.71/7.00 (assume @p4841 (forall @t1027 (=> @t6044 @t6048))) % 6.71/7.00 (assume @p4842 (forall @t397 (= @t6045 (and @t1025 (= @t819 @t20))))) % 6.71/7.00 (assume @p4843 (forall @t827 (=> @t1025 (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t21 @t819)))) % 6.71/7.00 (assume @p4844 (forall @t397 (=> @t6045 @t1025))) % 6.71/7.00 (assume @p4845 (forall @t1027 (=> @t6044 @t1074))) % 6.71/7.00 (assume @p4846 (forall @t1596 (= (tptp.c_Quickcheck_Obeyond @t208 @t2721) @t2721))) % 6.71/7.00 (assume @p4847 (forall @t397 (=> @t6045 (tptp.c_Fun_Obij__betw @t41 @t10 @t1207 @t20 @t21)))) % 6.71/7.00 (assume @p4848 (forall @t397 (=> @t6045 @t2182))) % 6.71/7.00 (assume @p4849 (forall @t827 (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t146 @t21) @t826))) % 6.71/7.00 (assume @p4850 (forall @t827 (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t21 @t825) @t166))) % 6.71/7.00 (assume @p4851 (forall @t2096 (=> @t2064 (=> @t2142 (= (exists @t881 (tptp.c_Fun_Obij__betw @t10 @t41 @t880 @t21 @t20)) @t2182))))) % 6.71/7.00 (assume @p4852 (forall @t397 (=> @t6045 (= @t2064 @t2142)))) % 6.71/7.00 (assume @p4853 (forall @t29 (= (tptp.c_Fun_Obij__betw @t10 @t10 @t4583 @t21 @t20) @t22))) % 6.71/7.00 (assume @p4854 (forall @t164 (tptp.c_Fun_Obij__betw @t10 @t10 @t4583 @t165 @t165))) % 6.71/7.00 (assume @p4855 (forall (@list @t2 @t4615 @t1202 @t41 @t20 @t21 @t10) (=> @t399 (=> (= (tptp.hAPP (tptp.hAPP @t398 @t1202) @t4615) @t825) (=> @t6046 (=> @t6049 (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t311 (tptp.hAPP (tptp.hAPP @t394 @t1202) @t4615)))))))) % 6.71/7.00 (assume @p4856 (forall (@list @t421 @t108 @t20 @t21 @t2 @t41 @t10) (=> @t6045 (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t108 @t421) (=> (= (tptp.hAPP (tptp.hAPP @t398 @t20) @t421) @t825) (tptp.c_Fun_Obij__betw @t10 @t41 @t2 @t372 (tptp.hAPP (tptp.hAPP @t394 @t20) @t421))))))) % 6.71/7.00 (assume @p4857 (forall @t4363 (=> (tptp.c_Fun_Obij__betw @t10 @t41 @t2075 @t165 @t858) (= @t4362 @t4361)))) % 6.71/7.00 (assume @p4858 (forall @t4358 (=> @t6044 @t4038))) % 6.71/7.00 (assume @p4859 (forall @t1073 (=> @t6044 (= @t4366 @t2144)))) % 6.71/7.00 (assume @p4860 (forall @t827 (=> @t6044 (= @t4355 (tptp.hAPP @t6038 @t21))))) % 6.71/7.00 (assume @p4861 (forall @t2085 (=> @t6053 (exists @t6052 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t6051 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1243 @t6050) @t2083))))) % 6.71/7.00 (assume @p4862 (forall @t2187 (=> @t1025 (=> @t2186 (=> @t2185 (=> @t2184 (exists @t6052 (tptp.c_Fun_Obij__betw @t10 @t41 @t6051 @t21 @t20)))))))) % 6.71/7.00 (assume @p4863 (forall @t2085 (=> @t6053 (exists @t6052 (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat @t10 @t6051 @t6054 @t2083))))) % 6.71/7.00 (assume @p4864 (forall @t2085 (=> @t6053 (exists @t6052 (tptp.c_Fun_Obij__betw @t10 tptp.tc_Nat_Onat @t6051 @t2083 @t6054))))) % 6.71/7.00 (assume @p4865 (forall (@list @t97 @t51 @t291 @t10 @t2989 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t41 @t2989 @t10 @t291) @t51) @t97) (tptp.hAPP @t291 @t3490)))) % 6.71/7.00 (assume @p4866 (forall @t5977 (=> @t5976 (tptp.c_Relation_Orefl__on @t41 (tptp.hAPP (tptp.hAPP @t2092 @t728) @t21) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t4128) @t728) @t2727))))) % 6.71/7.00 (assume @p4867 (forall (@list @t248 @t173 @t41 @t10 @t2) (=> @t6056 @t6055))) % 6.71/7.00 (assume @p4868 (forall @t3815 (= (tptp.c_Product__Type_Ocurry @t10 @t41 @t2989 @t3781) @t2))) % 6.71/7.00 (assume @p4869 (forall @t3815 (= (tptp.hAPP @t3780 (tptp.c_Product__Type_Ocurry @t10 @t41 @t2989 @t2)) @t2))) % 6.71/7.00 (assume @p4870 (forall @t3812 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t41 @t2989 @t10 @t2) @t173) @t248) (tptp.hAPP @t2 @t3799)))) % 6.71/7.00 (assume @p4871 (forall @t3803 (=> @t6055 @t6056))) % 6.71/7.00 (assume @p4872 (forall (@list @t60 @t3274 @t10) (=> @t4248 (= @t6058 @t1726)))) % 6.71/7.00 (assume @p4873 (forall (@list @t2727 @t2 @t10) (=> @t4844 (=> @t4789 (exists @t905 (forall @t1398 (= (tptp.hAPP @t2 (tptp.hAPP @t2321 @t1396)) @t2316))))))) % 6.71/7.00 (assume @p4874 (forall @t4250 (= (tptp.hBOOL (tptp.hAPP @t6057 @t51)) @t4249))) % 6.71/7.00 (assume @p4875 (forall @t4734 (= (tptp.hBOOL (tptp.hAPP @t326 @t6057)) @t4249))) % 6.71/7.00 (assume @p4876 (forall (@list @t60 @t57 @t3274 @t10) (=> @t4248 (=> (forall @t7 (=> @t4906 @t168)) (=> (exists @t1725 (tptp.hBOOL (tptp.hAPP @t57 @t1723))) @t6058))))) % 6.71/7.00 (assume @p4877 (forall (@list @t60 @t41 @t3274 @t10) (=> @t4248 (= (tptp.c_Quotient_OBabs @t10 @t41 @t6057 @t60) @t60)))) % 6.71/7.00 (assume @p4878 (forall (@list @t181 @t41 @t2934 @t51 @t10) (=> (tptp.hBOOL (tptp.hAPP @t326 @t2934)) (= (tptp.hAPP (tptp.c_Quotient_OBabs @t10 @t41 @t2934 @t181) @t51) (tptp.hAPP @t181 @t51))))) % 6.71/7.00 (assume @p4879 (forall (@list @t1 @t2 @t41 @t21 @t20 @t10) (=> @t26 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 @t5) @t4)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t395 (tptp.hAPP @t3210 @t2)) (tptp.hAPP @t3210 @t1))))))) % 6.71/7.00 (assume @p4880 (forall @t3288 (=> (forall @t7 (=> @t250 (tptp.hBOOL (tptp.hAPP @t6059 @t2090)))) (tptp.hBOOL (tptp.hAPP @t6059 @t3211))))) % 6.71/7.00 (assume @p4881 (forall @t6076 (=> @t6075 (=> @t6073 (=> (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6072 @t3807)) @t6069)) (forall (@list @t6064 @t6063) (=> @t6068 (=> @t3917 @t6065))))) @t6062))))) % 6.71/7.00 (assume @p4882 (forall @t6076 (=> @t6075 (=> @t6062 (=> (forall (@list @t1231 @t893 @t6064 @t6063) (=> @t6068 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP (tptp.hAPP @t4043 @t6066) @t6074)) @t6069)) (=> @t6065 @t3917)))) @t6073))))) % 6.71/7.00 (assume @p4883 (forall (@list @t2727 @t6077 @t6078 @t6080 @t4111 @t41 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6082 @t6079)) @t6069)) (=> (not (= @t6081 @t6079)) (not (forall @t3808 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6082 @t3807)) @t2727)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4044 (tptp.hAPP @t6067 @t6079)) @t6069)))))))))) % 6.71/7.00 (assume @p4884 (forall (@list @t2989 @t2 @t4234 @t41 @t4237 @t10) (=> (forall (@list @t6086 @t6084) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3834 (tptp.hAPP (tptp.hAPP @t3831 @t6086) @t6084)) @t4237)) (forall (@list @t6085 @t6083) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4041 (tptp.hAPP (tptp.hAPP @t4039 @t6085) @t6083)) @t4234)) (= (tptp.hAPP (tptp.hAPP @t2 @t6086) @t6085) (tptp.hAPP (tptp.hAPP @t2 @t6084) @t6083)))))) @t4257))) % 6.71/7.00 (assume @p4885 (forall (@list @t41 @t2 @t2727 @t10) (=> (forall (@list @t282 @t2910) (=> @t6007 (= @t283 (tptp.hAPP @t2 @t2910)))) @t4264))) % 6.71/7.00 (assume @p4886 (forall (@list @t6087 @t5950 @t31) (= (tptp.c_Lazy__Sequence_Oflat @t31 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t5947 @t5950 @t6087)) (tptp.c_Lazy__Sequence_Oappend @t31 @t5950 (tptp.c_Lazy__Sequence_Oflat @t31 @t6087))))) % 6.71/7.00 (assume @p4887 (forall @t471 (= (tptp.c_Lazy__Sequence_Oflat @t31 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty @t5947)) @t5985))) % 6.71/7.00 (assume @p4888 (forall (@list @t2 @t5611 @t10 @t41) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind @t41 @t10 @t5611) @t2) (tptp.c_Lazy__Sequence_Oflat @t10 (tptp.c_Lazy__Sequence_Omap @t41 @t5881 @t2 @t5611))))) % 6.71/7.00 (assume @p4889 (forall @t4034 (=> @t4031 (=> @t2148 (=> (forall @t7 (=> @t823 @t2988)) (= @t2520 @t4033)))))) % 6.71/7.00 (assume @p4890 (forall (@list @t5611 @t51 @t2 @t10 @t41) (= (tptp.c_Lazy__Sequence_Omap @t41 @t10 @t2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t41 @t51 @t5611)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert @t10 @t53 (tptp.c_Lazy__Sequence_Omap @t41 @t10 @t2 @t5611))))) % 6.71/7.00 (assume @p4891 (forall @t258 (= (tptp.c_Lazy__Sequence_Omap @t41 @t10 @t2 @t5990) @t5986))) % 6.71/7.00 (assume @p4892 (forall (@list @t220 @t5611 @t2 @t10 @t41) (= (tptp.c_New__DSequence_Opos__map @t41 @t10 @t2 @t5611 @t220) (tptp.c_Lazy__Sequence_Omap @t41 @t10 @t2 @t5945)))) % 6.71/7.00 (assume @p4893 (forall @t2482 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t2481) @t2480)) (=> (tptp.hBOOL (tptp.hAPP @t2171 @t209)) @t196)))) % 6.71/7.00 (assume @p4894 (forall @t1758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t30) @t30)))) % 6.71/7.00 (assume @p4895 (forall @t489 (=> @t1206 (tptp.hBOOL (tptp.hAPP @t6090 @t960))))) % 6.71/7.00 (assume @p4896 (forall @t1596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t936) @t208)))) % 6.71/7.00 (assume @p4897 (forall @t954 (=> @t1175 (= @t6093 @t6092)))) % 6.71/7.00 (assume @p4898 (forall @t957 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t1038) @t1037)) (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6088 @t193) @t176)))))) % 6.71/7.00 (assume @p4899 (forall (@list @t771 @t421 @t289 @t10) (=> (and (tptp.class_Rings_Ocomm__ring @t10) @t6097) (=> (tptp.hBOOL (tptp.hAPP @t6095 @t421)) (forall @t1727 (= (tptp.hBOOL (tptp.hAPP @t6095 (tptp.hAPP @t6096 @t771))) (tptp.hBOOL (tptp.hAPP @t6095 (tptp.hAPP (tptp.hAPP @t1313 (tptp.hAPP (tptp.hAPP @t807 @t3) (tptp.hAPP (tptp.hAPP @t1019 @t1396) @t421))) @t771))))))))) % 6.71/7.00 (assume @p4900 (forall (@list @t289 @t248 @t291 @t173 @t10) (=> @t6101 (=> @t1953 (=> @t2748 (=> @t6100 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t291) @t289)) (= (= @t6099 (tptp.hAPP (tptp.hAPP @t6098 @t289) @t291)) (= @t1134 @t1359))))))))) % 6.71/7.00 (assume @p4901 (forall @t662 (=> @t6101 (=> @t1953 (=> @t6100 (= (= @t6099 @t291) (= @t248 @t1140))))))) % 6.71/7.00 (assume @p4902 (forall @t485 (=> @t1884 (=> @t6104 (= (tptp.hAPP @t1042 @t6103) @t85))))) % 6.71/7.00 (assume @p4903 (forall @t1426 (=> @t1884 (=> (tptp.hBOOL (tptp.hAPP @t6105 @t85)) (= (tptp.hAPP @t1042 (tptp.hAPP @t6102 @t82)) (tptp.hAPP @t2357 @t82)))))) % 6.71/7.00 (assume @p4904 (forall @t485 (=> @t1884 (=> @t6104 (= (tptp.hAPP @t6106 @t81) @t85))))) % 6.71/7.00 (assume @p4905 (forall @t94 (=> @t1884 (=> @t6104 (= (tptp.hAPP @t6106 @t82) (tptp.hAPP (tptp.hAPP @t2334 @t1068) @t81)))))) % 6.71/7.00 (assume @p4906 (forall (@list @t1544 @t70 @t30 @t64 @t31) (=> @t1884 (=> @t6109 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6089 @t70) @t1544)) (= (tptp.hAPP (tptp.hAPP @t1041 @t6108) (tptp.hAPP (tptp.hAPP @t2334 @t1544) @t70)) (tptp.hAPP (tptp.hAPP @t2334 (tptp.hAPP @t1064 @t1544)) @t2834))))))) % 6.71/7.00 (assume @p4907 (forall @t1142 (=> @t1057 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t1140) @t1139)) @t6110)))) % 6.71/7.00 (assume @p4908 (forall @t1137 (=> @t1057 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t1135) @t1134)) @t6110)))) % 6.71/7.00 (assume @p4909 (forall @t485 (=> @t1206 (tptp.hBOOL (tptp.hAPP @t6090 @t1043))))) % 6.71/7.00 (assume @p4910 (forall @t485 (=> @t1206 (tptp.hBOOL (tptp.hAPP @t6090 @t1124))))) % 6.71/7.00 (assume @p4911 (forall @t94 (=> @t1206 (=> @t6104 @t6111)))) % 6.71/7.00 (assume @p4912 (forall @t1162 (=> @t1206 (=> @t6112 @t6111)))) % 6.71/7.00 (assume @p4913 (forall @t1116 (=> @t1206 (=> @t6104 (=> (tptp.hBOOL (tptp.hAPP @t6105 @t528)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6089 @t1110) @t1109))))))) % 6.71/7.00 (assume @p4914 (forall (@list @t208 @t85 @t81 @t31) (=> (tptp.class_Rings_Odvd @t31) (=> (= @t81 (tptp.hAPP @t1067 @t208)) (tptp.hBOOL (tptp.hAPP @t6113 @t81)))))) % 6.71/7.00 (assume @p4915 (forall @t94 (=> @t1206 (=> @t6114 @t6112)))) % 6.71/7.00 (assume @p4916 (forall @t94 (=> @t1206 (=> @t6114 (tptp.hBOOL (tptp.hAPP @t6113 @t82)))))) % 6.71/7.00 (assume @p4917 (forall @t954 (= @t6093 (or @t1075 @t6092)))) % 6.71/7.00 (assume @p4918 (forall (@list @t227 @t60 @t10) (=> (and @t6097 @t3525) (= (exists @t7 (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t1019 @t227) @t3)))) (exists @t7 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t227) (tptp.hAPP @t6096 @t925))) @t168)))))) % 6.71/7.00 (assume @p4919 (forall (@list @t2 @t220 @t21 @t10 @t41) (=> @t2863 (=> @t2064 (=> @t3535 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd @t41) @t4054) @t2854))))))) % 6.71/7.00 (assume @p4920 (forall (@list @t291 @t248 @t173) (= (= @t6115 (tptp.hAPP (tptp.hAPP @t667 @t291) @t758)) @t660))) % 6.71/7.00 (assume @p4921 (forall (@list @t173) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t6088 @t173 @t173) @t6116))) % 6.71/7.00 (assume @p4922 (forall @t2373 (=> @t347 (= @t6115 @t6116)))) % 6.71/7.00 (assume @p4923 (forall @t6121 (=> @t6120 @t6119))) % 6.71/7.00 (assume @p4924 (forall @t2344 (=> @t6124 @t6123))) % 6.71/7.00 (assume @p4925 (forall @t6121 (=> @t6120 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t6117 @t151 @t227) @t758)))) % 6.71/7.00 (assume @p4926 (forall @t1606 (= @t6119 @t6125))) % 6.71/7.00 (assume @p4927 (forall @t2373 (= @t6123 @t6127))) % 6.71/7.00 (assume @p4928 (forall @t1606 (= (= @t758 @t6118) @t6125))) % 6.71/7.00 (assume @p4929 (forall @t2373 (= (= @t758 @t6122) @t6127))) % 6.71/7.00 (assume @p4930 (forall @t2344 (=> (and @t6124 @t6129) @t6128))) % 6.71/7.00 (assume @p4931 (forall @t2373 (= @t6128 @t6129))) % 6.71/7.00 (assume @p4932 (forall @t2373 (= (= @t758 @t6115) @t6129))) % 6.71/7.00 (assume @p4933 (forall @t80 (=> @t1451 (=> (tptp.hBOOL (tptp.hAPP @t6130 @t64)) (=> (tptp.hBOOL (tptp.hAPP @t6130 @t70)) (tptp.hBOOL (tptp.hAPP @t6130 @t3075))))))) % 6.71/7.00 (assume @p4934 (forall @t957 (=> (tptp.hBOOL (tptp.hAPP @t6131 @t193)) (=> (tptp.hBOOL (tptp.hAPP @t6131 @t176)) (tptp.hBOOL (tptp.hAPP @t6131 @t915)))))) % 6.71/7.00 (assume @p4935 (forall @t107 (=> @t6134 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6094 @t507) @t97)) @t6133)))) % 6.71/7.00 (assume @p4936 (forall @t107 (=> @t6134 (= (tptp.hBOOL (tptp.hAPP @t6132 @t506)) @t6133)))) % 6.71/7.00 (assume @p4937 (forall @t77 (=> @t1919 (=> @t6109 (= (tptp.hAPP (tptp.hAPP @t2334 @t448) @t64) @t6135))))) % 6.71/7.00 (assume @p4938 (forall @t77 (=> @t1919 (=> @t6109 (= (tptp.hAPP @t6107 @t469) @t6135))))) % 6.71/7.00 (assume @p4939 (forall @t760 (= (tptp.hBOOL (tptp.hAPP @t6091 @t936)) @t1173))) % 6.71/7.00 (assume @p4940 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p4941 (forall @t6140 (=> @t6139 (tptp.class_Lattices_Obounded__lattice @t6138)))) % 6.71/7.00 (assume @p4942 (forall @t6140 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6136) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6138)))) % 6.71/7.00 (assume @p4943 (forall @t6140 (=> @t6139 (tptp.class_Lattices_Obounded__lattice__top @t6138)))) % 6.71/7.00 (assume @p4944 (forall @t6140 (=> @t6139 (tptp.class_Lattices_Obounded__lattice__bot @t6138)))) % 6.71/7.00 (assume @p4945 (forall @t6140 (=> @t6141 (tptp.class_Lattices_Osemilattice__sup @t6138)))) % 6.71/7.00 (assume @p4946 (forall @t6140 (=> @t6141 (tptp.class_Lattices_Osemilattice__inf @t6138)))) % 6.71/7.00 (assume @p4947 (forall @t6140 (=> (tptp.class_Lattices_Odistrib__lattice @t6136) (tptp.class_Lattices_Odistrib__lattice @t6138)))) % 6.71/7.00 (assume @p4948 (forall @t6140 (=> (tptp.class_Lattices_Oboolean__algebra @t6136) (tptp.class_Lattices_Oboolean__algebra @t6138)))) % 6.71/7.00 (assume @p4949 (forall @t6140 (=> (tptp.class_Orderings_Opreorder @t6136) (tptp.class_Orderings_Opreorder @t6138)))) % 6.71/7.00 (assume @p4950 (forall @t6144 (=> @t6143 (tptp.class_Finite__Set_Ofinite @t6138)))) % 6.71/7.00 (assume @p4951 (forall @t6140 (=> @t6141 (tptp.class_Lattices_Olattice @t6138)))) % 6.71/7.00 (assume @p4952 (forall @t6140 (=> (tptp.class_Orderings_Oorder @t6136) (tptp.class_Orderings_Oorder @t6138)))) % 6.71/7.00 (assume @p4953 (forall @t6140 (=> (tptp.class_Orderings_Otop @t6136) (tptp.class_Orderings_Otop @t6138)))) % 6.71/7.00 (assume @p4954 (forall @t6140 (=> (tptp.class_Orderings_Oord @t6136) (tptp.class_Orderings_Oord @t6138)))) % 6.71/7.00 (assume @p4955 (forall @t6140 (=> (tptp.class_Orderings_Obot @t6136) (tptp.class_Orderings_Obot @t6138)))) % 6.71/7.00 (assume @p4956 (forall @t6140 (=> (tptp.class_Groups_Ouminus @t6136) (tptp.class_Groups_Ouminus @t6138)))) % 6.71/7.00 (assume @p4957 (forall @t6140 (=> (tptp.class_Groups_Ominus @t6136) (tptp.class_Groups_Ominus @t6138)))) % 6.71/7.00 (assume @p4958 (forall @t6144 (=> @t6146 (tptp.class_Enum_Oenum @t6138)))) % 6.71/7.00 (assume @p4959 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4960 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4961 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4962 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4963 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4964 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4965 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4966 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4967 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4968 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4969 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4970 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4971 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4972 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4973 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4974 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4975 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4976 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4977 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4978 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4979 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4980 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4981 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4982 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4983 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4984 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4985 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4987 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4988 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4989 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4990 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4991 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4992 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4993 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4994 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4995 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4996 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4997 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4998 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p4999 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5000 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5001 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5002 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5003 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5004 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5005 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5006 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5007 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5008 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5009 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5010 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5011 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5012 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5013 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5014 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5015 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5016 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5017 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5018 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5019 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5020 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5021 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5022 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5023 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5024 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5025 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5026 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5027 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5028 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5029 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5030 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 6.71/7.00 (assume @p5031 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5032 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5033 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5034 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5035 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5036 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5037 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5038 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5039 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5040 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5041 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5042 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5043 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5044 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5045 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5046 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5047 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5048 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5049 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5050 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5051 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5052 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5053 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5054 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5055 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5056 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5057 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5058 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5059 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5060 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5061 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5062 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5063 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5064 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5065 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5066 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5067 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5068 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5069 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5070 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5071 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5072 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5073 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5074 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5075 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5076 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5077 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5078 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5079 (tptp.class_Nat_Osize tptp.tc_Nat_Onat)) % 6.71/7.00 (assume @p5080 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5082 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5083 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5084 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5085 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5088 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5089 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5091 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5093 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5094 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5095 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5096 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5097 (tptp.class_Nat_Osize tptp.tc_HOL_Obool)) % 6.71/7.00 (assume @p5098 (forall @t6149 (=> @t6148 (tptp.class_Lazy__Sequence_Osmall__lazy @t6147)))) % 6.71/7.00 (assume @p5099 (forall @t6149 (tptp.class_Nat_Osize @t6147))) % 6.71/7.00 (assume @p5100 (forall @t6144 (=> @t6143 (tptp.class_Finite__Set_Ofinite @t6150)))) % 6.71/7.00 (assume @p5101 (forall @t6144 (=> @t6146 (tptp.class_Enum_Oenum @t6150)))) % 6.71/7.00 (assume @p5102 (forall @t6144 (tptp.class_Nat_Osize @t6150))) % 6.71/7.00 (assume @p5103 (forall @t6149 (=> @t6142 (tptp.class_Finite__Set_Ofinite @t6151)))) % 6.71/7.00 (assume @p5104 (forall @t6149 (=> @t6145 (tptp.class_Enum_Oenum @t6151)))) % 6.71/7.00 (assume @p5105 (forall @t6149 (tptp.class_Nat_Osize @t6151))) % 6.71/7.00 (assume @p5106 (forall @t6144 (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box @t6137 @t6136)))) % 6.71/7.00 (assume @p5107 (forall @t6144 (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy @t6137) @t6148) (tptp.class_Lazy__Sequence_Osmall__lazy @t6152)))) % 6.71/7.00 (assume @p5108 (forall @t6144 (=> @t6143 (tptp.class_Finite__Set_Ofinite @t6152)))) % 6.71/7.00 (assume @p5109 (forall @t6144 (=> @t6146 (tptp.class_Enum_Oenum @t6152)))) % 6.71/7.00 (assume @p5110 (forall @t6144 (tptp.class_Nat_Osize @t6152))) % 6.71/7.00 (assume @p5111 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit)) % 6.71/7.00 (assume @p5112 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 6.71/7.00 (assume @p5113 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit)) % 6.71/7.00 (assume @p5114 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit)) % 6.71/7.00 (assume @p5115 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm)) % 6.71/7.00 (assume @p5116 (forall @t6149 (tptp.class_Nat_Osize (tptp.tc_Hoare__Mirabelle_Otriple @t6136)))) % 6.71/7.00 (assume @p5117 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5118 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5119 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5120 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5121 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5122 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5123 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5124 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5125 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5126 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5127 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5128 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5129 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5130 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5131 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5132 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5133 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5134 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5135 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5136 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5137 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5138 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5139 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5140 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5141 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5142 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5143 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5144 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5145 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5146 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5147 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5148 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5149 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5150 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5151 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5152 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5153 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5154 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5155 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5156 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5157 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5158 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.71/7.00 (assume @p5159 (forall @t6149 (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence @t6136)))) % 6.71/7.00 (assume @p5160 (forall (@list @t6153 @t31) (= (tptp.hAPP (tptp.c_COMBI @t31) @t6153) @t6153))) % 6.71/7.00 (assume @p5161 (forall (@list @t6154 @t6153 @t10 @t31) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t31 @t10) @t6153) @t6154) @t6153))) % 6.71/7.00 (assume @p5162 (forall (@list @t3274 @t57 @t60 @t2989 @t10 @t41) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3389 @t60) @t57) @t3274) (tptp.hAPP @t60 @t6155)))) % 6.71/7.00 (assume @p5163 (forall @t6157 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3407 @t60) @t57) @t3274) (tptp.hAPP @t6156 @t57)))) % 6.71/7.00 (assume @p5164 (forall @t6157 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t41 @t2989 @t10) @t60) @t57) @t3274) (tptp.hAPP @t6156 @t6155)))) % 6.71/7.00 (assume @p5165 (forall @t1627 (or (not @t6158) @t98))) % 6.71/7.00 (assume @p5166 (forall @t1627 (or @t628 @t6158))) % 6.71/7.00 (assume @p5167 (not (tptp.hBOOL tptp.c_fFalse))) % 6.71/7.00 (assume @p5168 (tptp.hBOOL tptp.c_fTrue)) % 6.71/7.00 (assume @p5169 (forall @t1688 (or (not @t6161) @t6160))) % 6.71/7.00 (assume @p5170 (forall @t1688 (or (not @t6160) @t6161))) % 6.71/7.00 (assume @p5171 (forall @t6165 (or @t6160 @t6164 @t6162))) % 6.71/7.00 (assume @p5172 (forall @t6165 (or @t6166 @t6159))) % 6.71/7.00 (assume @p5173 (forall @t6165 (or @t6166 @t6163))) % 6.71/7.00 (assume @p5174 (forall @t6165 (or @t6160 @t6167))) % 6.71/7.00 (assume @p5175 (forall @t6168 (or @t6164 @t6167))) % 6.71/7.00 (assume @p5176 (forall @t6165 (or (not @t6167) @t6159 @t6163))) % 6.71/7.00 (assume @p5177 (forall @t6165 (or @t6159 @t6169))) % 6.71/7.00 (assume @p5178 (forall @t6168 (or @t6164 @t6169))) % 6.71/7.00 (assume @p5179 (forall @t6165 (or (not @t6169) @t6160 @t6163))) % 6.71/7.00 (assume @p5180 (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.t_a tptp.v_G tptp.v_ts_H)) % 6.71/7.00 (assume @p5181 @t6179) % 6.71/7.00 (assume @p5182 @t6180) % 6.71/7.00 (assume @p5183 @t6185) % 6.71/7.00 (assume @p5184 true) % 6.71/7.00 (step @p5185 :rule aci_norm :args ((= @t6194 @t6192))) % 6.71/7.00 (step @p5186 :rule cong :premises (@p5185) :args (@t6196)) % 6.71/7.00 (step @p5187 :rule quant-merge-prenex :args ((= (forall @t40 @t6198) @t6196))) % 6.71/7.00 (step @p5188 :rule alpha_equiv :args (@t6199 (@list @t6186) @t6200)) % 6.71/7.00 (step @p5189 :rule refl :args (@t6191)) % 6.71/7.00 (step @p5190 :rule nary_cong :premises (@p5189 @p5188) :args (@t6201)) % 6.71/7.00 (step @p5191 :rule quant-miniscope-or :args ((= @t6198 @t6201))) % 6.71/7.00 (step @p5192 :rule trans :premises (@p5191 @p5190)) % 6.71/7.00 (step @p5193 :rule symm :premises (@p5192)) % 6.71/7.00 (step @p5194 :rule cong :premises (@p5193) :args ((forall @t40 (or @t6191 @t6202)))) % 6.71/7.00 (step @p5195 :rule trans :premises (@p5194 @p5187)) % 6.71/7.00 (step @p5196 :rule trans :premises (@p5195 @p5186)) % 6.71/7.00 (step @p5197 :rule bool-impl-elim :args (@t6190 @t6202)) % 6.71/7.00 (step @p5198 :rule cong :premises (@p5197) :args ((forall @t40 (=> @t6190 @t6202)))) % 6.71/7.00 (step @p5199 :rule trans :premises (@p5198 @p5196)) % 6.71/7.00 (step @p5200 :rule bool-impl-elim :args (@t6181 @t6170)) % 6.71/7.00 (step @p5201 :rule cong :premises (@p5200) :args (@t6182)) % 6.71/7.00 (step @p5202 :rule bool-impl-elim :args (@t6176 @t6170)) % 6.71/7.00 (step @p5203 :rule cong :premises (@p5202) :args (@t6177)) % 6.71/7.00 (step @p5204 :rule cong :premises (@p5203 @p5201) :args (@t6183)) % 6.71/7.00 (step @p5205 :rule cong :premises (@p5204) :args (@t6184)) % 1.68/7.02 (step @p5206 :rule trans :premises (@p5205 @p5199)) % 1.68/7.02 (step @p5207 :rule cong :premises (@p5206) :args (@t6185)) % 1.68/7.02 (step @p5208 :rule eq_resolve :premises (@p5183 @p5207)) % 1.68/7.02 (step @p5209 :rule skolemize :premises (@p5208)) % 1.68/7.02 (step @p5210 :rule bool-double-not-elim :args (@t6205)) % 1.68/7.02 (step @p5211 :rule refl :args (@t6212)) % 1.68/7.02 (step @p5212 :rule nary_cong :premises (@p5211 @p5210) :args ((or @t6212 (not @t6211)))) % 1.68/7.02 (step @p5213 :rule cnf_or_neg :args (@t6212 0)) % 1.68/7.02 (step @p5214 :rule eq_resolve :premises (@p5213 @p5212)) % 1.68/7.02 (step @p5215 :rule reordering :premises (@p5214) :args ((or @t6205 @t6212))) % 1.68/7.02 (step @p5216 :rule chain_m_resolution :premises (@p5215 @p5209) :args (@t6205 @t6213 @t6214)) % 1.68/7.02 (step @p5217 :rule cnf_or_neg :args (@t6212 2)) % 1.68/7.02 (step @p5218 :rule chain_m_resolution :premises (@p5217 @p5209) :args ((not @t6207) @t6213 @t6214)) % 1.68/7.02 (step @p5219 :rule aci_norm :args ((= @t6219 (or @t6191 @t6217 @t6216)))) % 1.68/7.02 (step @p5220 :rule cong :premises (@p5219) :args (@t6220)) % 1.68/7.02 (step @p5221 :rule quant-merge-prenex :args ((= (forall @t40 @t6222) @t6220))) % 1.68/7.02 (step @p5222 :rule alpha_equiv :args (@t6223 (@list @t6215) @t6200)) % 1.68/7.02 (step @p5223 :rule nary_cong :premises (@p5189 @p5222) :args (@t6224)) % 1.68/7.02 (step @p5224 :rule quant-miniscope-or :args ((= @t6222 @t6224))) % 1.68/7.02 (step @p5225 :rule trans :premises (@p5224 @p5223)) % 1.68/7.02 (step @p5226 :rule symm :premises (@p5225)) % 1.68/7.02 (step @p5227 :rule cong :premises (@p5226) :args ((forall @t40 (or @t6191 @t6225)))) % 1.68/7.02 (step @p5228 :rule trans :premises (@p5227 @p5221)) % 1.68/7.02 (step @p5229 :rule trans :premises (@p5228 @p5220)) % 1.68/7.02 (step @p5230 :rule bool-impl-elim :args (@t6190 @t6225)) % 1.68/7.02 (step @p5231 :rule cong :premises (@p5230) :args ((forall @t40 (=> @t6190 @t6225)))) % 1.68/7.02 (step @p5232 :rule trans :premises (@p5231 @p5229)) % 1.68/7.02 (step @p5233 :rule bool-impl-elim :args (@t6174 @t6170)) % 1.68/7.02 (step @p5234 :rule cong :premises (@p5233) :args (@t6175)) % 1.68/7.02 (step @p5235 :rule cong :premises (@p5203 @p5234) :args (@t6178)) % 1.68/7.02 (step @p5236 :rule cong :premises (@p5235) :args (@t6179)) % 1.68/7.02 (step @p5237 :rule trans :premises (@p5236 @p5232)) % 1.68/7.02 (step @p5238 :rule eq_resolve :premises (@p5181 @p5237)) % 1.68/7.02 (step @p5239 :rule instantiate :premises (@p5238) :args ((@list @t6204 @t6206))) % 1.68/7.02 (step @p5240 :rule aci_norm :args ((= (or @t6226 (or @t306 @t304)) (or @t6226 @t306 @t304)))) % 1.68/7.02 (step @p5241 :rule bool-impl-elim :args (@t305 @t304)) % 1.68/7.02 (step @p5242 :rule refl :args (@t6226)) % 1.68/7.02 (step @p5243 :rule nary_cong :premises (@p5242 @p5241) :args ((or @t6226 @t323))) % 1.68/7.02 (step @p5244 :rule trans :premises (@p5243 @p5240)) % 1.68/7.02 (step @p5245 :rule bool-impl-elim :args (@t28 @t323)) % 1.68/7.02 (step @p5246 :rule trans :premises (@p5245 @p5244)) % 1.68/7.02 (step @p5247 :rule cong :premises (@p5246) :args (@t325)) % 1.68/7.02 (step @p5248 :rule eq_resolve :premises (@p123 @p5247)) % 1.68/7.02 (step @p5249 :rule instantiate :premises (@p5248) :args ((@list @t6206 tptp.v_ts_H tptp.v_ts @t6171))) % 1.68/7.02 (step @p5250 :rule bool-double-not-elim :args (@t6209)) % 1.68/7.02 (step @p5251 :rule nary_cong :premises (@p5211 @p5250) :args ((or @t6212 (not @t6210)))) % 1.68/7.02 (step @p5252 :rule cnf_or_neg :args (@t6212 1)) % 1.68/7.02 (step @p5253 :rule eq_resolve :premises (@p5252 @p5251)) % 1.68/7.02 (step @p5254 :rule reordering :premises (@p5253) :args ((or @t6209 @t6212))) % 1.68/7.02 (step @p5255 :rule chain_m_resolution :premises (@p5254 @p5209) :args (@t6209 @t6213 @t6214)) % 1.68/7.02 (step @p5256 :rule cnf_or_pos :args (@t6229)) % 1.68/7.02 (step @p5257 :rule reordering :premises (@p5256) :args ((or @t6228 @t6210 @t6227 (not @t6229)))) % 1.68/7.02 (step @p5258 :rule chain_m_resolution :premises (@p5257 @p5182 @p5255 @p5249) :args (@t6227 (@list false false false) (@list @t6180 @t6209 @t6229))) % 1.68/7.02 (step @p5259 :rule cnf_or_pos :args (@t6231)) % 1.68/7.02 (step @p5260 :rule reordering :premises (@p5259) :args ((or @t6211 @t6207 @t6230 (not @t6231)))) % 1.68/7.02 (step @p5261 false :rule chain_m_resolution :premises (@p5260 @p5258 @p5239 @p5218 @p5216) :args (false (@list false false true false) (@list @t6227 @t6231 @t6207 @t6205))) % 1.68/7.02 ) % 1.68/7.02 % SZS output end Proof % 1.68/7.02 % cvc5 exiting %------------------------------------------------------------------------------