%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW342+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:46 AM UTC 2026 % Result : Theorem 6.34s 6.53s % Output : Proof 6.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW342+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 21:47:44 EDT 2026 % 0.18/0.34 % CPUTime : % 1.08/1.99 %----Proving TF0_NAR, FOF, or CNF % 6.34/6.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.34/6.53 % SZS status Theorem % 6.34/6.53 % SZS output start Proof % 6.34/6.53 ( % 6.34/6.53 (declare-sort $$unsorted 0) % 6.34/6.53 (declare-const tptp.v_G $$unsorted) % 6.34/6.53 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Obodies $$unsorted) % 6.34/6.53 (declare-const tptp.class_Smallcheck_Osmall (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Osmall__class_Osmall (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Osmall_H__rel $$unsorted) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Osmall_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Ofull__small_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Oorelse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.t_a $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.v_n $$unsorted) % 6.34/6.53 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Int_OInteg $$unsorted) % 6.34/6.53 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 6.34/6.53 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 6.34/6.53 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 6.34/6.53 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.tc_Com_Oloc $$unsorted) % 6.34/6.53 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_Com_Opname $$unsorted) % 6.34/6.53 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Natural_Ogetlocs $$unsorted) % 6.34/6.53 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OSumr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OProjr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OProjl (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OInr (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 6.34/6.53 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_Osum_Osum__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ovname_Ovname__size (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Option_Ois__none (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_fconj $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Natural_Onewlocs $$unsorted) % 6.34/6.53 (declare-const tptp.c_Int_Onat $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Natural_Osetlocs $$unsorted) % 6.34/6.53 (declare-const tptp.c_Com_ORes $$unsorted) % 6.34/6.53 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.tc_Com_Ostate $$unsorted) % 6.34/6.53 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Smallcheck_Ofull__small__class_Ofull__small (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OSuml (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_OWT $$unsorted) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_Nat_Onat $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_OArg $$unsorted) % 6.34/6.53 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 6.34/6.53 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.v_P (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 6.34/6.53 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_Osum_Osum__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 6.34/6.53 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ovname_OLoc (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_fdisj $$unsorted) % 6.34/6.53 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 6.34/6.53 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_OPls $$unsorted) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Natural_Oupdate $$unsorted) % 6.34/6.53 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nat_OSuc $$unsorted) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Obody $$unsorted) % 6.34/6.53 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_OMin $$unsorted) % 6.34/6.53 (declare-const tptp.c_fTrue $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ovname_OGlb (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 6.34/6.53 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ovname_Ovname__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_OInl (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.tc_Com_Ovname $$unsorted) % 6.34/6.53 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Ooption_Ooption__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Int_Ointrel $$unsorted) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_fFalse $$unsorted) % 6.34/6.53 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 6.34/6.53 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_HOL_Obool $$unsorted) % 6.34/6.53 (declare-const tptp.tc_Int_Oint $$unsorted) % 6.34/6.53 (declare-const tptp.c_fNot $$unsorted) % 6.34/6.53 (declare-const tptp.tc_Com_Ocom $$unsorted) % 6.34/6.53 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 6.34/6.53 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 6.34/6.53 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_Ovname_Ovname__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 6.34/6.53 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 6.34/6.53 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_fequal $$unsorted) % 6.34/6.53 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_fimplies $$unsorted) % 6.34/6.53 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 6.34/6.53 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 6.34/6.53 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 6.34/6.53 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 6.34/6.53 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Sum__Type_Osum_Osum__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Com_OWT__bodies Bool) % 6.34/6.53 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.34/6.53 (define @t1 () (@var "V_g_2" $$unsorted)) % 6.34/6.53 (define @t2 () (@var "V_f_2" $$unsorted)) % 6.34/6.53 (define @t3 () (= @t2 @t1)) % 6.34/6.53 (define @t4 () (@var "B_x" $$unsorted)) % 6.34/6.53 (define @t5 () (tptp.hAPP @t1 @t4)) % 6.34/6.53 (define @t6 () (tptp.hAPP @t2 @t4)) % 6.34/6.53 (define @t7 () (= @t6 @t5)) % 6.34/6.53 (define @t8 () (@list @t4)) % 6.34/6.53 (define @t9 () (@var "V_s" $$unsorted)) % 6.34/6.53 (define @t10 () (@var "V_n" $$unsorted)) % 6.34/6.53 (define @t11 () (@var "V_t" $$unsorted)) % 6.34/6.53 (define @t12 () (= @t11 @t9)) % 6.34/6.53 (define @t13 () (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t9 @t10 @t11)) % 6.34/6.53 (define @t14 () (=> @t13 @t12)) % 6.34/6.53 (define @t15 () (@list @t11 @t10 @t9)) % 6.34/6.53 (define @t16 () (forall @t15 @t14)) % 6.34/6.53 (define @t17 () (@var "V_a1" $$unsorted)) % 6.34/6.53 (define @t18 () (@var "V_a2" $$unsorted)) % 6.34/6.53 (define @t19 () (@var "B_s_H" $$unsorted)) % 6.34/6.53 (define @t20 () (@var "B_Z" $$unsorted)) % 6.34/6.53 (define @t21 () (@var "V_Q_2" $$unsorted)) % 6.34/6.53 (define @t22 () (tptp.hAPP @t21 @t20)) % 6.34/6.53 (define @t23 () (@var "V_n_2" $$unsorted)) % 6.34/6.53 (define @t24 () (@var "B_s" $$unsorted)) % 6.34/6.53 (define @t25 () (@var "V_c_2" $$unsorted)) % 6.34/6.53 (define @t26 () (@list @t19)) % 6.34/6.53 (define @t27 () (@var "V_P_2" $$unsorted)) % 6.34/6.53 (define @t28 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t20) @t24))) % 6.34/6.53 (define @t29 () (@list @t20 @t24)) % 6.34/6.53 (define @t30 () (@var "T_b" $$unsorted)) % 6.34/6.53 (define @t31 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t30)) % 6.34/6.53 (define @t32 () (tptp.hAPP @t31 @t27)) % 6.34/6.53 (define @t33 () (tptp.hAPP @t32 @t25)) % 6.34/6.53 (define @t34 () (tptp.hAPP @t33 @t21)) % 6.34/6.53 (define @t35 () (@var "T_a" $$unsorted)) % 6.34/6.53 (define @t36 () (tptp.hAPP tptp.c_Nat_OSuc @t10)) % 6.34/6.53 (define @t37 () (@var "V_f1_2" $$unsorted)) % 6.34/6.53 (define @t38 () (@var "V_f8_2" $$unsorted)) % 6.34/6.53 (define @t39 () (@var "V_f7_2" $$unsorted)) % 6.34/6.53 (define @t40 () (@var "V_f6_2" $$unsorted)) % 6.34/6.53 (define @t41 () (@var "V_f5_2" $$unsorted)) % 6.34/6.53 (define @t42 () (@var "V_f4_2" $$unsorted)) % 6.34/6.53 (define @t43 () (@var "V_f3_2" $$unsorted)) % 6.34/6.53 (define @t44 () (@var "V_f2_2" $$unsorted)) % 6.34/6.53 (define @t45 () (@list @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t46 () (@var "B_n" $$unsorted)) % 6.34/6.53 (define @t47 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t46 @t4)) % 6.34/6.53 (define @t48 () (@var "V_tsa_2" $$unsorted)) % 6.34/6.53 (define @t49 () (tptp.tc_Hoare__Mirabelle_Otriple @t30)) % 6.34/6.53 (define @t50 () (tptp.hAPP (tptp.c_member @t49) @t4)) % 6.34/6.53 (define @t51 () (tptp.hBOOL (tptp.hAPP @t50 @t48))) % 6.34/6.53 (define @t52 () (@var "V_Ga_2" $$unsorted)) % 6.34/6.53 (define @t53 () (@list @t46)) % 6.34/6.53 (define @t54 () (@var "V_s2" $$unsorted)) % 6.34/6.53 (define @t55 () (@var "V_s0" $$unsorted)) % 6.34/6.53 (define @t56 () (@var "V_c1" $$unsorted)) % 6.34/6.53 (define @t57 () (@var "V_c0" $$unsorted)) % 6.34/6.53 (define @t58 () (tptp.c_Com_Ocom_OSemi @t57 @t56)) % 6.34/6.53 (define @t59 () (@var "V_s1" $$unsorted)) % 6.34/6.53 (define @t60 () (@var "V_s1_2" $$unsorted)) % 6.34/6.53 (define @t61 () (@var "V_s_2" $$unsorted)) % 6.34/6.53 (define @t62 () (@var "V_c1_2" $$unsorted)) % 6.34/6.53 (define @t63 () (@var "V_c0_2" $$unsorted)) % 6.34/6.53 (define @t64 () (@var "V_b_2" $$unsorted)) % 6.34/6.53 (define @t65 () (tptp.c_Com_Ocom_OCond @t64 @t63 @t62)) % 6.34/6.53 (define @t66 () (tptp.c_Natural_Oevaln @t65 @t61 @t23 @t60)) % 6.34/6.53 (define @t67 () (tptp.hBOOL (tptp.hAPP @t64 @t61))) % 6.34/6.53 (define @t68 () (not @t67)) % 6.34/6.53 (define @t69 () (@var "V_t_2" $$unsorted)) % 6.34/6.53 (define @t70 () (@var "V_c2_2" $$unsorted)) % 6.34/6.53 (define @t71 () (tptp.c_Com_Ocom_OCond @t64 @t62 @t70)) % 6.34/6.53 (define @t72 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t62))) % 6.34/6.53 (define @t73 () (@var "V_c2" $$unsorted)) % 6.34/6.53 (define @t74 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t56))) % 6.34/6.53 (define @t75 () (tptp.c_Com_Ocom_OSemi @t56 @t73)) % 6.34/6.53 (define @t76 () (@var "V_com2_H_2" $$unsorted)) % 6.34/6.53 (define @t77 () (@var "V_com1_H_2" $$unsorted)) % 6.34/6.53 (define @t78 () (@var "V_fun_H_2" $$unsorted)) % 6.34/6.53 (define @t79 () (tptp.c_Com_Ocom_OCond @t78 @t77 @t76)) % 6.34/6.53 (define @t80 () (@var "V_com2_2" $$unsorted)) % 6.34/6.53 (define @t81 () (@var "V_com1_2" $$unsorted)) % 6.34/6.53 (define @t82 () (tptp.c_Com_Ocom_OSemi @t81 @t80)) % 6.34/6.53 (define @t83 () (@var "V_a2_2" $$unsorted)) % 6.34/6.53 (define @t84 () (@var "V_a1_2" $$unsorted)) % 6.34/6.53 (define @t85 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t84))) % 6.34/6.53 (define @t86 () (and @t85 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t83)))) % 6.34/6.53 (define @t87 () (@list @t83 @t84)) % 6.34/6.53 (define @t88 () (@var "V_a3_2" $$unsorted)) % 6.34/6.53 (define @t89 () (= @t80 @t76)) % 6.34/6.53 (define @t90 () (= @t81 @t77)) % 6.34/6.53 (define @t91 () (tptp.c_Com_Ocom_OSemi @t77 @t76)) % 6.34/6.53 (define @t92 () (@var "V_fun_2" $$unsorted)) % 6.34/6.53 (define @t93 () (= @t92 @t78)) % 6.34/6.53 (define @t94 () (tptp.c_Com_Ocom_OCond @t92 @t81 @t80)) % 6.34/6.53 (define @t95 () (@var "V_fun2_H_2" $$unsorted)) % 6.34/6.53 (define @t96 () (@var "V_fun2_2" $$unsorted)) % 6.34/6.53 (define @t97 () (@var "V_com_H_2" $$unsorted)) % 6.34/6.53 (define @t98 () (@var "V_com_2" $$unsorted)) % 6.34/6.53 (define @t99 () (= @t98 @t97)) % 6.34/6.53 (define @t100 () (@var "V_fun1_H_2" $$unsorted)) % 6.34/6.53 (define @t101 () (@var "V_fun1_2" $$unsorted)) % 6.34/6.53 (define @t102 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t101) @t98) @t96)) % 6.34/6.53 (define @t103 () (tptp.hAPP (tptp.hAPP @t42 @t81) @t80)) % 6.34/6.53 (define @t104 () (@list @t80 @t81 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t105 () (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t80)) % 6.34/6.53 (define @t106 () (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t81)) % 6.34/6.53 (define @t107 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t41 @t92) @t81) @t80)) % 6.34/6.53 (define @t108 () (@list @t80 @t81 @t92 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t109 () (tptp.hAPP tptp.c_Nat_OSuc @t23)) % 6.34/6.53 (define @t110 () (@var "V_s_H" $$unsorted)) % 6.34/6.53 (define @t111 () (@var "V_c" $$unsorted)) % 6.34/6.53 (define @t112 () (@var "V_a5_2" $$unsorted)) % 6.34/6.53 (define @t113 () (@var "V_a4_2" $$unsorted)) % 6.34/6.53 (define @t114 () (tptp.c_Natural_Oevaln @t88 @t83 @t113 @t112)) % 6.34/6.53 (define @t115 () (tptp.hBOOL (tptp.hAPP @t84 @t83))) % 6.34/6.53 (define @t116 () (not @t115)) % 6.34/6.53 (define @t117 () (@var "V_a6_2" $$unsorted)) % 6.34/6.53 (define @t118 () (tptp.c_Natural_Oevaln @t117 @t83 @t113 @t112)) % 6.34/6.53 (define @t119 () (@var "B_s1" $$unsorted)) % 6.34/6.53 (define @t120 () (@list @t119)) % 6.34/6.53 (define @t121 () (@list @t76 @t77 @t78)) % 6.34/6.53 (define @t122 () (@var "V_com2_H" $$unsorted)) % 6.34/6.53 (define @t123 () (@var "V_com1_H" $$unsorted)) % 6.34/6.53 (define @t124 () (tptp.c_Com_Ocom_OSemi @t123 @t122)) % 6.34/6.53 (define @t125 () (@list @t122 @t123)) % 6.34/6.53 (define @t126 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t37 @t101) @t98) @t96)) % 6.34/6.53 (define @t127 () (@var "T_c" $$unsorted)) % 6.34/6.53 (define @t128 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t127)) % 6.34/6.53 (define @t129 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t128 @t101) @t98) @t96)) % 6.34/6.53 (define @t130 () (@list @t96 @t98 @t101 @t37 @t30 @t127)) % 6.34/6.53 (define @t131 () (@list @t10)) % 6.34/6.53 (define @t132 () (@var "V_nat_H_2" $$unsorted)) % 6.34/6.53 (define @t133 () (@var "V_nat_2" $$unsorted)) % 6.34/6.53 (define @t134 () (tptp.hAPP tptp.c_Nat_OSuc @t133)) % 6.34/6.53 (define @t135 () (@var "V_y" $$unsorted)) % 6.34/6.53 (define @t136 () (@var "V_x" $$unsorted)) % 6.34/6.53 (define @t137 () (= @t136 @t135)) % 6.34/6.53 (define @t138 () (@list @t135 @t136)) % 6.34/6.53 (define @t139 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t25))) % 6.34/6.53 (define @t140 () (@var "V_a_2" $$unsorted)) % 6.34/6.53 (define @t141 () (@var "V_Y_2" $$unsorted)) % 6.34/6.53 (define @t142 () (tptp.c_Com_Ocom_OLocal @t141 @t140 @t25)) % 6.34/6.53 (define @t143 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t142))) % 6.34/6.53 (define @t144 () (@var "V_pname_2" $$unsorted)) % 6.34/6.53 (define @t145 () (@var "V_vname_2" $$unsorted)) % 6.34/6.53 (define @t146 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t38 @t145) @t144) @t92)) % 6.34/6.53 (define @t147 () (tptp.c_Com_Ocom_OCall @t145 @t144 @t92)) % 6.34/6.53 (define @t148 () (@list @t92 @t144 @t145 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t149 () (@var "V_loc_2" $$unsorted)) % 6.34/6.53 (define @t150 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t43 @t149) @t92) @t98)) % 6.34/6.53 (define @t151 () (tptp.c_Com_Ocom_OLocal @t149 @t92 @t98)) % 6.34/6.53 (define @t152 () (@list @t98 @t92 @t149 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t153 () (@var "V_pname_H_2" $$unsorted)) % 6.34/6.53 (define @t154 () (@var "V_vname_H_2" $$unsorted)) % 6.34/6.53 (define @t155 () (tptp.c_Com_Ocom_OCall @t154 @t153 @t78)) % 6.34/6.53 (define @t156 () (tptp.c_Com_Ocom_OAss @t145 @t92)) % 6.34/6.53 (define @t157 () (@var "V_loc_H_2" $$unsorted)) % 6.34/6.53 (define @t158 () (tptp.c_Com_Ocom_OLocal @t157 @t78 @t97)) % 6.34/6.53 (define @t159 () (= @t145 @t154)) % 6.34/6.53 (define @t160 () (tptp.c_Com_Ocom_OAss @t154 @t78)) % 6.34/6.53 (define @t161 () (= @t144 @t153)) % 6.34/6.53 (define @t162 () (= @t149 @t157)) % 6.34/6.53 (define @t163 () (tptp.c_Com_Ocom_OAss @t84 @t83)) % 6.34/6.53 (define @t164 () (@var "V_X_2" $$unsorted)) % 6.34/6.53 (define @t165 () (tptp.c_Com_Ocom_OAss @t164 @t140)) % 6.34/6.53 (define @t166 () (@list @t78 @t154)) % 6.34/6.53 (define @t167 () (@list @t78 @t153 @t154)) % 6.34/6.53 (define @t168 () (@list @t97 @t78 @t157)) % 6.34/6.53 (define @t169 () (tptp.hAPP (tptp.hAPP @t44 @t145) @t92)) % 6.34/6.53 (define @t170 () (@list @t92 @t145 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t171 () (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t98)) % 6.34/6.53 (define @t172 () (tptp.hAPP @t140 @t61)) % 6.34/6.53 (define @t173 () (tptp.hAPP tptp.c_Natural_Oupdate @t61)) % 6.34/6.53 (define @t174 () (tptp.hAPP (tptp.hAPP @t173 @t164) @t172)) % 6.34/6.53 (define @t175 () (= @t69 @t174)) % 6.34/6.53 (define @t176 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t27)) % 6.34/6.53 (define @t177 () (tptp.c_Com_Ocom_OCall @t164 @t27 @t140)) % 6.34/6.53 (define @t178 () (@var "V_i_2" $$unsorted)) % 6.34/6.53 (define @t179 () (@var "V_inc_2" $$unsorted)) % 6.34/6.53 (define @t180 () (tptp.class_Rings_Osemiring__1 @t30)) % 6.34/6.53 (define @t181 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t88) @t84) (tptp.hAPP @t83 @t88))) % 6.34/6.53 (define @t182 () (@list @t113 @t88 @t83 @t84)) % 6.34/6.53 (define @t183 () (@var "V_pn_2" $$unsorted)) % 6.34/6.53 (define @t184 () (tptp.c_Com_Ocom_OCall @t164 @t183 @t140)) % 6.34/6.53 (define @t185 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t183)) % 6.34/6.53 (define @t186 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t84)) % 6.34/6.53 (define @t187 () (tptp.hAPP @t44 @t133)) % 6.34/6.53 (define @t188 () (@list @t133 @t44 @t37 @t30)) % 6.34/6.53 (define @t189 () (tptp.c_Nat_Onat_Onat__rec @t30 @t37 @t44)) % 6.34/6.53 (define @t190 () (tptp.c_Com_Ocom_OWhile @t64 @t25)) % 6.34/6.53 (define @t191 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t190))) % 6.34/6.53 (define @t192 () (tptp.hAPP (tptp.hAPP @t40 @t92) @t98)) % 6.34/6.53 (define @t193 () (tptp.c_Com_Ocom_OWhile @t92 @t98)) % 6.34/6.53 (define @t194 () (@list @t98 @t92 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t195 () (@var "V_s2_2" $$unsorted)) % 6.34/6.53 (define @t196 () (@var "V_s0_2" $$unsorted)) % 6.34/6.53 (define @t197 () (tptp.hBOOL (tptp.hAPP @t64 @t196))) % 6.34/6.53 (define @t198 () (tptp.c_Com_Ocom_OWhile @t78 @t97)) % 6.34/6.53 (define @t199 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t153)) % 6.34/6.53 (define @t200 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t144)) % 6.34/6.53 (define @t201 () (tptp.c_Com_Ocom_OWhile @t84 @t88)) % 6.34/6.53 (define @t202 () (tptp.c_Natural_Oevaln @t88 @t83 @t113 @t119)) % 6.34/6.53 (define @t203 () (@var "V_com2" $$unsorted)) % 6.34/6.53 (define @t204 () (@var "V_com1" $$unsorted)) % 6.34/6.53 (define @t205 () (tptp.c_Com_Ocom_OSemi @t204 @t203)) % 6.34/6.53 (define @t206 () (@var "V_pname_H" $$unsorted)) % 6.34/6.53 (define @t207 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t206)) % 6.34/6.53 (define @t208 () (@list @t206)) % 6.34/6.53 (define @t209 () (@list @t97 @t78)) % 6.34/6.53 (define @t210 () (tptp.hAPP @t39 @t144)) % 6.34/6.53 (define @t211 () (@list @t144 @t38 @t39 @t40 @t41 @t42 @t43 @t44 @t37 @t30)) % 6.34/6.53 (define @t212 () (tptp.hAPP @t32 @t185)) % 6.34/6.53 (define @t213 () (tptp.hAPP @t212 @t21)) % 6.34/6.53 (define @t214 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t215 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 6.34/6.53 (define @t216 () (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t215 (tptp.hAPP tptp.c_Com_Obody @t183))) @t21)) % 6.34/6.53 (define @t217 () (tptp.hAPP @t2 @t23)) % 6.34/6.53 (define @t218 () (@var "V_h_2" $$unsorted)) % 6.34/6.53 (define @t219 () (tptp.hAPP @t2 @t109)) % 6.34/6.53 (define @t220 () (tptp.hAPP @t2 @t46)) % 6.34/6.53 (define @t221 () (forall @t53 (= @t220 (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec @t30 @t25 @t218) @t46)))) % 6.34/6.53 (define @t222 () (tptp.hAPP (tptp.c_Natural_Oevalc @t165) @t61)) % 6.34/6.53 (define @t223 () (=> (= @t69 @t61) @t67)) % 6.34/6.53 (define @t224 () (@var "V_pn" $$unsorted)) % 6.34/6.53 (define @t225 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t224)) % 6.34/6.53 (define @t226 () (tptp.hAPP tptp.c_Com_Obody @t224)) % 6.34/6.53 (define @t227 () (tptp.hAPP @t215 @t226)) % 6.34/6.53 (define @t228 () (@list @t88 @t83 @t84)) % 6.34/6.53 (define @t229 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t196)) % 6.34/6.53 (define @t230 () (tptp.c_Com_Ovname_OLoc @t141)) % 6.34/6.53 (define @t231 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t60) @t230) (tptp.hAPP @t229 @t141))) % 6.34/6.53 (define @t232 () (tptp.hAPP @t140 @t196)) % 6.34/6.53 (define @t233 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t196) @t230) @t232)) % 6.34/6.53 (define @t234 () (tptp.hAPP @t215 (tptp.hAPP tptp.c_Com_Obody @t84))) % 6.34/6.53 (define @t235 () (tptp.c_Com_Ovname_OLoc @t88)) % 6.34/6.53 (define @t236 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t83) @t235) (tptp.hAPP @t113 @t83))) % 6.34/6.53 (define @t237 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t83)) % 6.34/6.53 (define @t238 () (tptp.hAPP @t237 @t88)) % 6.34/6.53 (define @t239 () (tptp.hAPP tptp.c_Natural_Oupdate @t119)) % 6.34/6.53 (define @t240 () (tptp.hAPP (tptp.hAPP @t239 @t235) @t238)) % 6.34/6.53 (define @t241 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t117) @t235) @t238)) % 6.34/6.53 (define @t242 () (tptp.c_Com_Ocom_OLocal @t88 @t113 @t84)) % 6.34/6.53 (define @t243 () (tptp.c_Natural_Oevalc @t190)) % 6.34/6.53 (define @t244 () (tptp.hAPP @t243 @t61)) % 6.34/6.53 (define @t245 () (tptp.c_Natural_Oevalc @t25)) % 6.34/6.53 (define @t246 () (tptp.hAPP (tptp.c_Natural_Oevalc @t62) @t61)) % 6.34/6.53 (define @t247 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t65) @t61) @t60))) % 6.34/6.53 (define @t248 () (tptp.c_Natural_Oevalc @t56)) % 6.34/6.53 (define @t249 () (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP)) % 6.34/6.53 (define @t250 () (tptp.hAPP @t249 @t9)) % 6.34/6.53 (define @t251 () (@list @t11 @t9)) % 6.34/6.53 (define @t252 () (@var "V_P" $$unsorted)) % 6.34/6.53 (define @t253 () (tptp.hAPP tptp.c_Com_Obody @t252)) % 6.34/6.53 (define @t254 () (tptp.hAPP @t215 @t253)) % 6.34/6.53 (define @t255 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t252)) % 6.34/6.53 (define @t256 () (tptp.c_Natural_Oevalc @t142)) % 6.34/6.53 (define @t257 () (tptp.c_Com_Ovname_OLoc @t149)) % 6.34/6.53 (define @t258 () (@var "V_u" $$unsorted)) % 6.34/6.53 (define @t259 () (tptp.hAPP (tptp.c_Natural_Oevalc @t111) @t9)) % 6.34/6.53 (define @t260 () (tptp.hBOOL (tptp.hAPP @t259 @t11))) % 6.34/6.53 (define @t261 () (tptp.c_Natural_Oevalc @t186)) % 6.34/6.53 (define @t262 () (tptp.c_Natural_Oevalc @t84)) % 6.34/6.53 (define @t263 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t112) @t235) @t238)) % 6.34/6.53 (define @t264 () (@var "V_m" $$unsorted)) % 6.34/6.53 (define @t265 () (tptp.hAPP tptp.c_Nat_OSuc @t264)) % 6.34/6.53 (define @t266 () (@list @t264)) % 6.34/6.53 (define @t267 () (@var "V_nat_H_1" $$unsorted)) % 6.34/6.53 (define @t268 () (@var "V_nat_H" $$unsorted)) % 6.34/6.53 (define @t269 () (tptp.hAPP @t245 @t61)) % 6.34/6.53 (define @t270 () (tptp.c_Natural_Oevaln @t111 @t9 @t10 @t11)) % 6.34/6.53 (define @t271 () (tptp.c_Natural_Oevalc @t201)) % 6.34/6.53 (define @t272 () (tptp.hAPP @t271 @t119)) % 6.34/6.53 (define @t273 () (tptp.hAPP (tptp.c_Natural_Oevalc @t88) @t83)) % 6.34/6.53 (define @t274 () (tptp.hBOOL (tptp.hAPP @t273 @t119))) % 6.34/6.53 (define @t275 () (tptp.hAPP @t271 @t83)) % 6.34/6.53 (define @t276 () (tptp.hBOOL (tptp.hAPP @t273 @t113))) % 6.34/6.53 (define @t277 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t112) @t83) @t113))) % 6.34/6.53 (define @t278 () (@var "V_a" $$unsorted)) % 6.34/6.53 (define @t279 () (@list @t278)) % 6.34/6.53 (define @t280 () (@list @t44 @t37 @t30)) % 6.34/6.53 (define @t281 () (@var "V_fa_2" $$unsorted)) % 6.34/6.53 (define @t282 () (@var "V_loc" $$unsorted)) % 6.34/6.53 (define @t283 () (tptp.c_Com_Ovname_OLoc @t282)) % 6.34/6.53 (define @t284 () (@list @t282)) % 6.34/6.53 (define @t285 () (tptp.hAPP tptp.c_Nat_OSuc @t46)) % 6.34/6.53 (define @t286 () (tptp.hAPP (tptp.hAPP @t173 @t230) @t172)) % 6.34/6.53 (define @t287 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t61)) % 6.34/6.53 (define @t288 () (= @t69 (tptp.hAPP (tptp.hAPP @t239 @t230) (tptp.hAPP @t287 @t141)))) % 6.34/6.53 (define @t289 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ovname)) % 6.34/6.53 (define @t290 () (tptp.hAPP @t44 @t149)) % 6.34/6.53 (define @t291 () (@list @t149 @t44 @t37 @t30)) % 6.34/6.53 (define @t292 () (@var "V_pname" $$unsorted)) % 6.34/6.53 (define @t293 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t292)) % 6.34/6.53 (define @t294 () (@list @t292)) % 6.34/6.53 (define @t295 () (@list @t92 @t145)) % 6.34/6.53 (define @t296 () (@list @t92 @t144 @t145)) % 6.34/6.53 (define @t297 () (@var "V_glb" $$unsorted)) % 6.34/6.53 (define @t298 () (tptp.c_Com_Ovname_OGlb @t297)) % 6.34/6.53 (define @t299 () (@list @t297)) % 6.34/6.53 (define @t300 () (tptp.hAPP tptp.c_Nat_OSuc @t214)) % 6.34/6.53 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t302 () (@list @t203 @t204)) % 6.34/6.53 (define @t303 () (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Com_Ocom_Ocom__size @t98)) @t300)) % 6.34/6.53 (define @t304 () (@list @t98 @t92 @t149)) % 6.34/6.53 (define @t305 () (@list @t80 @t81 @t92)) % 6.34/6.53 (define @t306 () (@list @t98 @t92)) % 6.34/6.53 (define @t307 () (@var "V_glb_2" $$unsorted)) % 6.34/6.53 (define @t308 () (tptp.hAPP @t37 @t307)) % 6.34/6.53 (define @t309 () (tptp.c_Com_Ovname_OGlb @t307)) % 6.34/6.53 (define @t310 () (@list @t307 @t44 @t37 @t30)) % 6.34/6.53 (define @t311 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 6.34/6.53 (define @t312 () (tptp.hAPP @t301 @t10)) % 6.34/6.53 (define @t313 () (tptp.hAPP @t312 @t264)) % 6.34/6.53 (define @t314 () (tptp.hAPP @t301 @t264)) % 6.34/6.53 (define @t315 () (tptp.hAPP @t314 @t10)) % 6.34/6.53 (define @t316 () (@list @t10 @t264)) % 6.34/6.53 (define @t317 () (@var "V_z" $$unsorted)) % 6.34/6.53 (define @t318 () (tptp.hAPP @t301 @t136)) % 6.34/6.53 (define @t319 () (tptp.hAPP @t301 @t135)) % 6.34/6.53 (define @t320 () (tptp.hAPP @t319 @t317)) % 6.34/6.53 (define @t321 () (@list @t317 @t135 @t136)) % 6.34/6.53 (define @t322 () (@var "V_k" $$unsorted)) % 6.34/6.53 (define @t323 () (tptp.hAPP @t312 @t322)) % 6.34/6.53 (define @t324 () (@list @t322 @t10 @t264)) % 6.34/6.53 (define @t325 () (@var "V_m_2" $$unsorted)) % 6.34/6.53 (define @t326 () (= @t325 @t23)) % 6.34/6.53 (define @t327 () (@var "V_k_2" $$unsorted)) % 6.34/6.53 (define @t328 () (tptp.hAPP @t301 @t327)) % 6.34/6.53 (define @t329 () (tptp.hAPP @t328 @t23)) % 6.34/6.53 (define @t330 () (tptp.hAPP @t328 @t325)) % 6.34/6.53 (define @t331 () (@list @t23 @t325 @t327)) % 6.34/6.53 (define @t332 () (tptp.hAPP @t301 @t23)) % 6.34/6.53 (define @t333 () (tptp.hAPP @t332 @t327)) % 6.34/6.53 (define @t334 () (tptp.hAPP @t301 @t325)) % 6.34/6.53 (define @t335 () (tptp.hAPP @t334 @t327)) % 6.34/6.53 (define @t336 () (@list @t23 @t327 @t325)) % 6.34/6.53 (define @t337 () (@var "V_glb_H_2" $$unsorted)) % 6.34/6.53 (define @t338 () (= @t23 @t214)) % 6.34/6.53 (define @t339 () (= @t325 @t214)) % 6.34/6.53 (define @t340 () (tptp.hAPP @t334 @t23)) % 6.34/6.53 (define @t341 () (@list @t23 @t325)) % 6.34/6.53 (define @t342 () (= @t10 @t214)) % 6.34/6.53 (define @t343 () (tptp.hAPP @t314 @t36)) % 6.34/6.53 (define @t344 () (tptp.hAPP (tptp.hAPP @t301 @t265) @t10)) % 6.34/6.53 (define @t345 () (tptp.hAPP tptp.c_Nat_OSuc @t315)) % 6.34/6.53 (define @t346 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t311 @t98)) @t300)) % 6.34/6.53 (define @t347 () (= @t23 @t300)) % 6.34/6.53 (define @t348 () (= @t325 @t300)) % 6.34/6.53 (define @t349 () (or (and @t348 @t338) (and @t339 @t347))) % 6.34/6.53 (define @t350 () (@var "V_loc_H" $$unsorted)) % 6.34/6.53 (define @t351 () (tptp.c_Com_Ovname_OLoc @t350)) % 6.34/6.53 (define @t352 () (tptp.c_Groups_Ozero__class_Ozero @t30)) % 6.34/6.53 (define @t353 () (= @t140 @t352)) % 6.34/6.53 (define @t354 () (tptp.c_Groups_Oplus__class_Oplus @t30)) % 6.34/6.53 (define @t355 () (tptp.hAPP @t354 @t140)) % 6.34/6.53 (define @t356 () (tptp.hAPP @t355 @t140)) % 6.34/6.53 (define @t357 () (= (= @t356 @t352) @t353)) % 6.34/6.53 (define @t358 () (tptp.class_Groups_Olinordered__ab__group__add @t30)) % 6.34/6.53 (define @t359 () (@list @t140 @t30)) % 6.34/6.53 (define @t360 () (tptp.hAPP @t354 @t64)) % 6.34/6.53 (define @t361 () (tptp.hAPP @t360 @t140)) % 6.34/6.53 (define @t362 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t30)) % 6.34/6.53 (define @t363 () (@list @t140 @t64 @t30)) % 6.34/6.53 (define @t364 () (tptp.c_Groups_Ozero__class_Ozero @t35)) % 6.34/6.53 (define @t365 () (tptp.c_Groups_Oplus__class_Oplus @t35)) % 6.34/6.53 (define @t366 () (tptp.hAPP @t365 @t278)) % 6.34/6.53 (define @t367 () (= (tptp.hAPP @t366 @t364) @t278)) % 6.34/6.53 (define @t368 () (tptp.class_Groups_Ocomm__monoid__add @t35)) % 6.34/6.53 (define @t369 () (@list @t278 @t35)) % 6.34/6.53 (define @t370 () (tptp.class_Rings_Ocomm__semiring__1 @t35)) % 6.34/6.53 (define @t371 () (tptp.class_Groups_Omonoid__add @t35)) % 6.34/6.53 (define @t372 () (tptp.hAPP @t365 @t364)) % 6.34/6.53 (define @t373 () (= (tptp.hAPP @t372 @t278) @t278)) % 6.34/6.53 (define @t374 () (@var "V_nat" $$unsorted)) % 6.34/6.53 (define @t375 () (tptp.hAPP tptp.c_Nat_OSuc @t374)) % 6.34/6.53 (define @t376 () (@list @t374)) % 6.34/6.53 (define @t377 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t378 () (@var "V_x_2" $$unsorted)) % 6.34/6.53 (define @t379 () (= @t378 @t352)) % 6.34/6.53 (define @t380 () (@list @t378 @t30)) % 6.34/6.53 (define @t381 () (tptp.hAPP @t365 @t111)) % 6.34/6.53 (define @t382 () (tptp.hAPP @t381 @t278)) % 6.34/6.53 (define @t383 () (tptp.hAPP @t366 @t111)) % 6.34/6.53 (define @t384 () (@var "V_d" $$unsorted)) % 6.34/6.53 (define @t385 () (tptp.hAPP @t381 @t384)) % 6.34/6.53 (define @t386 () (tptp.hAPP @t366 @t385)) % 6.34/6.53 (define @t387 () (@list @t384 @t111 @t278 @t35)) % 6.34/6.53 (define @t388 () (tptp.hAPP @t365 @t383)) % 6.34/6.53 (define @t389 () (@var "V_b" $$unsorted)) % 6.34/6.53 (define @t390 () (tptp.hAPP @t365 @t389)) % 6.34/6.53 (define @t391 () (tptp.hAPP @t390 @t111)) % 6.34/6.53 (define @t392 () (tptp.hAPP @t366 @t389)) % 6.34/6.53 (define @t393 () (tptp.hAPP @t365 @t392)) % 6.34/6.53 (define @t394 () (tptp.hAPP @t393 @t111)) % 6.34/6.53 (define @t395 () (= @t394 (tptp.hAPP @t366 @t391))) % 6.34/6.53 (define @t396 () (@list @t111 @t389 @t278 @t35)) % 6.34/6.53 (define @t397 () (= @t64 @t25)) % 6.34/6.53 (define @t398 () (tptp.hAPP @t355 @t25)) % 6.34/6.53 (define @t399 () (tptp.hAPP @t355 @t64)) % 6.34/6.53 (define @t400 () (tptp.class_Groups_Ocancel__semigroup__add @t30)) % 6.34/6.53 (define @t401 () (@list @t25 @t64 @t140 @t30)) % 6.34/6.53 (define @t402 () (tptp.hAPP @t354 @t25)) % 6.34/6.53 (define @t403 () (tptp.hAPP @t402 @t140)) % 6.34/6.53 (define @t404 () (tptp.hAPP @t390 @t384)) % 6.34/6.53 (define @t405 () (@list @t384 @t111 @t389 @t278 @t35)) % 6.34/6.53 (define @t406 () (= @t389 @t111)) % 6.34/6.53 (define @t407 () (=> (= @t392 @t383) @t406)) % 6.34/6.53 (define @t408 () (tptp.class_Groups_Ocancel__semigroup__add @t35)) % 6.34/6.53 (define @t409 () (tptp.hAPP @t390 @t278)) % 6.34/6.53 (define @t410 () (@list @t111 @t278 @t389 @t35)) % 6.34/6.53 (define @t411 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t412 () (@var "B_y" $$unsorted)) % 6.34/6.53 (define @t413 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 6.34/6.53 (define @t414 () (tptp.hAPP @t413 @t412)) % 6.34/6.53 (define @t415 () (@list @t412)) % 6.34/6.53 (define @t416 () (@list @t140)) % 6.34/6.53 (define @t417 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t60) @t229)) @t164) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t60) tptp.c_Com_ORes))) % 6.34/6.53 (define @t418 () (tptp.c_Com_Ovname_OLoc tptp.c_Com_OArg)) % 6.34/6.53 (define @t419 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t196) tptp.c_Natural_Onewlocs)) @t418) @t232)) % 6.34/6.53 (define @t420 () (tptp.hAPP @t2 @t214)) % 6.34/6.53 (define @t421 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t83) tptp.c_Natural_Onewlocs)) @t418) (tptp.hAPP @t88 @t83))) % 6.34/6.53 (define @t422 () (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t119) tptp.c_Com_ORes)) % 6.34/6.53 (define @t423 () (tptp.hAPP tptp.c_Natural_Osetlocs @t119)) % 6.34/6.53 (define @t424 () (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP @t423 @t237))) % 6.34/6.53 (define @t425 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t113) @t237)) @t112) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t113) tptp.c_Com_ORes))) % 6.34/6.53 (define @t426 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t112) @t237)) @t117) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t112) tptp.c_Com_ORes))) % 6.34/6.53 (define @t427 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t61) tptp.c_Natural_Onewlocs)) @t418) @t172)) % 6.34/6.53 (define @t428 () (= @t60 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP @t423 @t287)) @t164) @t422))) % 6.34/6.53 (define @t429 () (tptp.hAPP @t301 (tptp.hAPP @t281 @t140))) % 6.34/6.53 (define @t430 () (tptp.hAPP @t429 @t300)) % 6.34/6.53 (define @t431 () (tptp.c_Option_Ooption_OSome @t30)) % 6.34/6.53 (define @t432 () (tptp.hAPP @t431 @t140)) % 6.34/6.53 (define @t433 () (tptp.c_Option_Ooption_ONone @t30)) % 6.34/6.53 (define @t434 () (@list @t281 @t30)) % 6.34/6.53 (define @t435 () (tptp.c_Option_Ooption_OSome @t35)) % 6.34/6.53 (define @t436 () (@list @t136 @t35)) % 6.34/6.53 (define @t437 () (= @t378 (tptp.hAPP @t431 @t412))) % 6.34/6.53 (define @t438 () (= @t378 @t433)) % 6.34/6.53 (define @t439 () (@list @t30 @t378)) % 6.34/6.53 (define @t440 () (tptp.c_Option_Ooption_ONone @t35)) % 6.34/6.53 (define @t441 () (@var "V_a_H" $$unsorted)) % 6.34/6.53 (define @t442 () (tptp.hAPP @t435 @t441)) % 6.34/6.53 (define @t443 () (@list @t441 @t35)) % 6.34/6.53 (define @t444 () (@var "V_a_H_2" $$unsorted)) % 6.34/6.53 (define @t445 () (= @t140 @t444)) % 6.34/6.53 (define @t446 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_Option_Ooption @t35))) % 6.34/6.53 (define @t447 () (@list @t35)) % 6.34/6.53 (define @t448 () (tptp.hAPP @t44 @t140)) % 6.34/6.53 (define @t449 () (tptp.c_Option_Ooption_OSome @t127)) % 6.34/6.53 (define @t450 () (tptp.hAPP @t449 @t140)) % 6.34/6.53 (define @t451 () (@list @t140 @t44 @t37 @t127 @t30)) % 6.34/6.53 (define @t452 () (tptp.c_Option_Ooption_Ooption__case @t30 @t127 @t37 @t44)) % 6.34/6.53 (define @t453 () (tptp.c_Option_Ooption_ONone @t127)) % 6.34/6.53 (define @t454 () (@list @t44 @t37 @t127 @t30)) % 6.34/6.53 (define @t455 () (@var "V_fb_2" $$unsorted)) % 6.34/6.53 (define @t456 () (tptp.hAPP @t455 @t64)) % 6.34/6.53 (define @t457 () (tptp.c_Nitpick_Opair__box_OPairBox @t30 @t127 @t140 @t64)) % 6.34/6.53 (define @t458 () (@var "V_b_H_2" $$unsorted)) % 6.34/6.53 (define @t459 () (= @t64 @t458)) % 6.34/6.53 (define @t460 () (and @t445 @t459)) % 6.34/6.53 (define @t461 () (@list @t458 @t444 @t64 @t140 @t127 @t30)) % 6.34/6.53 (define @t462 () (@list @t389 @t278 @t30 @t35)) % 6.34/6.53 (define @t463 () (tptp.hAPP @t37 @t140)) % 6.34/6.53 (define @t464 () (tptp.hAPP @t463 @t64)) % 6.34/6.53 (define @t465 () (@var "T_d" $$unsorted)) % 6.34/6.53 (define @t466 () (tptp.c_Nitpick_Opair__box_OPairBox @t127 @t465 @t140 @t64)) % 6.34/6.53 (define @t467 () (@list @t64 @t140 @t37 @t30 @t465 @t127)) % 6.34/6.53 (define @t468 () (tptp.c_Sum__Type_OInl @t30 @t127)) % 6.34/6.53 (define @t469 () (tptp.hAPP @t468 @t140)) % 6.34/6.53 (define @t470 () (tptp.c_Sum__Type_OInr @t127 @t30)) % 6.34/6.53 (define @t471 () (tptp.hAPP @t470 @t64)) % 6.34/6.53 (define @t472 () (@var "B_a" $$unsorted)) % 6.34/6.53 (define @t473 () (@list @t472)) % 6.34/6.53 (define @t474 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t475 () (tptp.hAPP @t474 @t214)) % 6.34/6.53 (define @t476 () (@var "B_m" $$unsorted)) % 6.34/6.53 (define @t477 () (tptp.hAPP tptp.c_Nat_OSuc @t476)) % 6.34/6.53 (define @t478 () (@list @t476)) % 6.34/6.53 (define @t479 () (exists @t478 (= @t10 @t477))) % 6.34/6.53 (define @t480 () (not @t342)) % 6.34/6.53 (define @t481 () (tptp.hAPP @t27 @t23)) % 6.34/6.53 (define @t482 () (tptp.hBOOL @t481)) % 6.34/6.53 (define @t483 () (tptp.hBOOL (tptp.hAPP @t27 @t285))) % 6.34/6.53 (define @t484 () (tptp.hBOOL (tptp.hAPP @t27 @t46))) % 6.34/6.53 (define @t485 () (tptp.hBOOL (tptp.hAPP @t27 @t214))) % 6.34/6.53 (define @t486 () (@list @t23 @t27)) % 6.34/6.53 (define @t487 () (tptp.hAPP @t27 @t327)) % 6.34/6.53 (define @t488 () (tptp.hAPP @t474 @t10)) % 6.34/6.53 (define @t489 () (tptp.hAPP @t474 @t265)) % 6.34/6.53 (define @t490 () (tptp.hBOOL (tptp.hAPP @t489 @t36))) % 6.34/6.53 (define @t491 () (tptp.hAPP @t474 @t264)) % 6.34/6.53 (define @t492 () (tptp.hBOOL (tptp.hAPP @t491 @t10))) % 6.34/6.53 (define @t493 () (tptp.hBOOL (tptp.hAPP @t481 @t325))) % 6.34/6.53 (define @t494 () (tptp.hAPP @t474 @t23)) % 6.34/6.53 (define @t495 () (tptp.hBOOL (tptp.hAPP @t494 @t325))) % 6.34/6.53 (define @t496 () (tptp.hAPP @t474 @t325)) % 6.34/6.53 (define @t497 () (tptp.hBOOL (tptp.hAPP @t496 @t23))) % 6.34/6.53 (define @t498 () (= @t9 @t11)) % 6.34/6.53 (define @t499 () (= @t264 @t10)) % 6.34/6.53 (define @t500 () (not @t499)) % 6.34/6.53 (define @t501 () (tptp.hBOOL (tptp.hAPP @t488 @t264))) % 6.34/6.53 (define @t502 () (@list @t264 @t10)) % 6.34/6.53 (define @t503 () (tptp.hAPP @t474 @t136)) % 6.34/6.53 (define @t504 () (tptp.hBOOL (tptp.hAPP @t503 @t135))) % 6.34/6.53 (define @t505 () (not @t137)) % 6.34/6.53 (define @t506 () (not @t326)) % 6.34/6.53 (define @t507 () (tptp.c_Orderings_Oord__class_Oless @t30)) % 6.34/6.53 (define @t508 () (tptp.hAPP @t507 @t140)) % 6.34/6.53 (define @t509 () (tptp.hBOOL (tptp.hAPP @t508 @t64))) % 6.34/6.53 (define @t510 () (tptp.hAPP @t360 @t25)) % 6.34/6.53 (define @t511 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t30)) % 6.34/6.53 (define @t512 () (@list @t64 @t25 @t140 @t30)) % 6.34/6.53 (define @t513 () (tptp.hAPP @t402 @t64)) % 6.34/6.53 (define @t514 () (@list @t64 @t140 @t25 @t30)) % 6.34/6.53 (define @t515 () (tptp.c_Orderings_Oord__class_Oless @t35)) % 6.34/6.53 (define @t516 () (tptp.hAPP @t515 @t383)) % 6.34/6.53 (define @t517 () (tptp.hBOOL (tptp.hAPP @t516 @t391))) % 6.34/6.53 (define @t518 () (tptp.hAPP @t515 @t278)) % 6.34/6.53 (define @t519 () (tptp.hBOOL (tptp.hAPP @t518 @t389))) % 6.34/6.53 (define @t520 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t35)) % 6.34/6.53 (define @t521 () (tptp.hAPP @t381 @t389)) % 6.34/6.53 (define @t522 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t382) @t521))) % 6.34/6.53 (define @t523 () (tptp.hBOOL (tptp.hAPP @t516 @t404))) % 6.34/6.53 (define @t524 () (tptp.hAPP @t515 @t111)) % 6.34/6.53 (define @t525 () (tptp.hBOOL (tptp.hAPP @t524 @t384))) % 6.34/6.53 (define @t526 () (=> @t525 @t523)) % 6.34/6.53 (define @t527 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t35)) % 6.34/6.53 (define @t528 () (@list @t389 @t111 @t278 @t35)) % 6.34/6.53 (define @t529 () (@list @t389 @t278 @t111 @t35)) % 6.34/6.53 (define @t530 () (tptp.hBOOL (tptp.hAPP @t475 @t10))) % 6.34/6.53 (define @t531 () (tptp.hBOOL (tptp.hAPP @t475 @t23))) % 6.34/6.53 (define @t532 () (not @t338)) % 6.34/6.53 (define @t533 () (@list @t23)) % 6.34/6.53 (define @t534 () (tptp.hAPP tptp.c_Nat_OSuc @t325)) % 6.34/6.53 (define @t535 () (tptp.hBOOL (tptp.hAPP @t494 @t534))) % 6.34/6.53 (define @t536 () (or @t497 @t326)) % 6.34/6.53 (define @t537 () (tptp.hBOOL (tptp.hAPP @t496 @t109))) % 6.34/6.53 (define @t538 () (= @t23 @t325)) % 6.34/6.53 (define @t539 () (= @t535 @t538)) % 6.34/6.53 (define @t540 () (not @t495)) % 6.34/6.53 (define @t541 () (@list @t325 @t23)) % 6.34/6.53 (define @t542 () (tptp.hBOOL (tptp.hAPP @t491 @t36))) % 6.34/6.53 (define @t543 () (tptp.hBOOL (tptp.hAPP @t489 @t10))) % 6.34/6.53 (define @t544 () (@var "V_i" $$unsorted)) % 6.34/6.53 (define @t545 () (tptp.hAPP tptp.c_Nat_OSuc @t544)) % 6.34/6.53 (define @t546 () (@var "V_j" $$unsorted)) % 6.34/6.53 (define @t547 () (tptp.hAPP @t474 @t546)) % 6.34/6.53 (define @t548 () (tptp.hBOOL (tptp.hAPP @t547 @t322))) % 6.34/6.53 (define @t549 () (tptp.hAPP @t474 @t544)) % 6.34/6.53 (define @t550 () (tptp.hBOOL (tptp.hAPP @t549 @t546))) % 6.34/6.53 (define @t551 () (@list @t322 @t546 @t544)) % 6.34/6.53 (define @t552 () (not @t492)) % 6.34/6.53 (define @t553 () (tptp.hAPP @t301 @t544)) % 6.34/6.53 (define @t554 () (tptp.hAPP @t553 @t546)) % 6.34/6.53 (define @t555 () (tptp.hAPP @t474 @t554)) % 6.34/6.53 (define @t556 () (tptp.hAPP @t301 @t322)) % 6.34/6.53 (define @t557 () (tptp.hAPP @t556 @t10)) % 6.34/6.53 (define @t558 () (@var "V_l" $$unsorted)) % 6.34/6.53 (define @t559 () (tptp.hAPP @t474 @t322)) % 6.34/6.53 (define @t560 () (tptp.hBOOL (tptp.hAPP @t559 @t558))) % 6.34/6.53 (define @t561 () (tptp.hAPP @t301 @t546)) % 6.34/6.53 (define @t562 () (tptp.hAPP @t561 @t558)) % 6.34/6.53 (define @t563 () (tptp.hAPP @t553 @t322)) % 6.34/6.53 (define @t564 () (tptp.hAPP @t474 @t563)) % 6.34/6.53 (define @t565 () (@list @t558 @t322 @t546 @t544)) % 6.34/6.53 (define @t566 () (tptp.hAPP @t561 @t322)) % 6.34/6.53 (define @t567 () (tptp.hAPP @t314 @t546)) % 6.34/6.53 (define @t568 () (@list @t264 @t546 @t544)) % 6.34/6.53 (define @t569 () (tptp.hAPP @t561 @t264)) % 6.34/6.53 (define @t570 () (tptp.hAPP @t561 @t544)) % 6.34/6.53 (define @t571 () (@list @t544 @t546)) % 6.34/6.53 (define @t572 () (@list @t546 @t544)) % 6.34/6.53 (define @t573 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t392) @t364))) % 6.34/6.53 (define @t574 () (tptp.hAPP @t515 @t389)) % 6.34/6.53 (define @t575 () (tptp.hBOOL (tptp.hAPP @t574 @t364))) % 6.34/6.53 (define @t576 () (=> @t575 @t573)) % 6.34/6.53 (define @t577 () (tptp.hBOOL (tptp.hAPP @t518 @t364))) % 6.34/6.53 (define @t578 () (tptp.class_Groups_Oordered__comm__monoid__add @t35)) % 6.34/6.53 (define @t579 () (@list @t389 @t278 @t35)) % 6.34/6.53 (define @t580 () (tptp.hAPP @t515 @t364)) % 6.34/6.53 (define @t581 () (tptp.hBOOL (tptp.hAPP @t580 @t392))) % 6.34/6.53 (define @t582 () (tptp.hBOOL (tptp.hAPP @t580 @t389))) % 6.34/6.53 (define @t583 () (=> @t582 @t581)) % 6.34/6.53 (define @t584 () (tptp.hBOOL (tptp.hAPP @t580 @t278))) % 6.34/6.53 (define @t585 () (tptp.hBOOL (tptp.hAPP @t508 @t352))) % 6.34/6.53 (define @t586 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t356) @t352)) @t585)) % 6.34/6.53 (define @t587 () (tptp.class_Rings_Olinordered__idom @t30)) % 6.34/6.53 (define @t588 () (tptp.hAPP @t507 @t352)) % 6.34/6.53 (define @t589 () (tptp.hBOOL (tptp.hAPP @t588 @t140))) % 6.34/6.53 (define @t590 () (@var "B_j" $$unsorted)) % 6.34/6.53 (define @t591 () (tptp.hAPP @t474 @t590)) % 6.34/6.53 (define @t592 () (@list @t590)) % 6.34/6.53 (define @t593 () (= @t23 @t477)) % 6.34/6.53 (define @t594 () (tptp.hBOOL (tptp.hAPP @t475 @t325))) % 6.34/6.53 (define @t595 () (@var "B_k" $$unsorted)) % 6.34/6.53 (define @t596 () (tptp.hAPP @t334 @t595)) % 6.34/6.53 (define @t597 () (@list @t595)) % 6.34/6.53 (define @t598 () (@list @t264 @t544)) % 6.34/6.53 (define @t599 () (tptp.hAPP @t553 @t264)) % 6.34/6.53 (define @t600 () (tptp.hBOOL (tptp.hAPP @t574 @t383))) % 6.34/6.53 (define @t601 () (tptp.hBOOL (tptp.hAPP @t574 @t111))) % 6.34/6.53 (define @t602 () (=> @t601 @t600)) % 6.34/6.53 (define @t603 () (tptp.class_Rings_Olinordered__semidom @t35)) % 6.34/6.53 (define @t604 () (tptp.c_Sum__Type_OInr @t30 @t35)) % 6.34/6.53 (define @t605 () (tptp.hAPP @t604 @t389)) % 6.34/6.53 (define @t606 () (tptp.c_Sum__Type_OInl @t35 @t30)) % 6.34/6.53 (define @t607 () (tptp.hAPP @t606 @t278)) % 6.34/6.53 (define @t608 () (@var "V_b_H" $$unsorted)) % 6.34/6.53 (define @t609 () (@var "V_a_1" $$unsorted)) % 6.34/6.53 (define @t610 () (@var "T_b_1" $$unsorted)) % 6.34/6.53 (define @t611 () (@var "T_a_1" $$unsorted)) % 6.34/6.53 (define @t612 () (@var "V_b_H_1" $$unsorted)) % 6.34/6.53 (define @t613 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_sum @t35 @t30))) % 6.34/6.53 (define @t614 () (tptp.hBOOL (tptp.hAPP @t503 @t320))) % 6.34/6.53 (define @t615 () (@list @t135 @t317 @t136)) % 6.34/6.53 (define @t616 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t30)) % 6.34/6.53 (define @t617 () (tptp.hAPP @t616 @t23)) % 6.34/6.53 (define @t618 () (tptp.class_Rings_Olinordered__semidom @t30)) % 6.34/6.53 (define @t619 () (@list @t23 @t30)) % 6.34/6.53 (define @t620 () (tptp.hAPP @t616 @t325)) % 6.34/6.53 (define @t621 () (tptp.class_Nat_Osemiring__char__0 @t30)) % 6.34/6.53 (define @t622 () (@list @t23 @t325 @t30)) % 6.34/6.53 (define @t623 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 6.34/6.53 (define @t624 () (tptp.hAPP @t623 @t285)) % 6.34/6.53 (define @t625 () (@var "V_w_2" $$unsorted)) % 6.34/6.53 (define @t626 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 6.34/6.53 (define @t627 () (tptp.hAPP @t626 @t625)) % 6.34/6.53 (define @t628 () (@var "V_z_2" $$unsorted)) % 6.34/6.53 (define @t629 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 6.34/6.53 (define @t630 () (tptp.hAPP @t629 @t625)) % 6.34/6.53 (define @t631 () (tptp.hBOOL (tptp.hAPP @t630 @t628))) % 6.34/6.53 (define @t632 () (@list @t628 @t625)) % 6.34/6.53 (define @t633 () (tptp.hAPP @t623 @t23)) % 6.34/6.53 (define @t634 () (tptp.hAPP @t623 @t325)) % 6.34/6.53 (define @t635 () (tptp.hAPP @t629 @t634)) % 6.34/6.53 (define @t636 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 6.34/6.53 (define @t637 () (tptp.hAPP @t629 @t636)) % 6.34/6.53 (define @t638 () (tptp.hAPP @t623 @t214)) % 6.34/6.53 (define @t639 () (tptp.hAPP @t623 @t315)) % 6.34/6.53 (define @t640 () (tptp.hAPP @t623 @t10)) % 6.34/6.53 (define @t641 () (tptp.hAPP @t623 @t264)) % 6.34/6.53 (define @t642 () (tptp.hAPP @t626 @t641)) % 6.34/6.53 (define @t643 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t35)) % 6.34/6.53 (define @t644 () (tptp.hAPP @t643 @t264)) % 6.34/6.53 (define @t645 () (tptp.hAPP @t515 @t644)) % 6.34/6.53 (define @t646 () (@list @t264 @t35)) % 6.34/6.53 (define @t647 () (tptp.class_Rings_Osemiring__1 @t35)) % 6.34/6.53 (define @t648 () (tptp.hAPP @t643 @t10)) % 6.34/6.53 (define @t649 () (tptp.hBOOL (tptp.hAPP @t645 @t648))) % 6.34/6.53 (define @t650 () (@list @t10 @t264 @t35)) % 6.34/6.53 (define @t651 () (tptp.hAPP @t515 @t135)) % 6.34/6.53 (define @t652 () (tptp.hBOOL (tptp.hAPP @t651 @t136))) % 6.34/6.53 (define @t653 () (tptp.hAPP @t515 @t136)) % 6.34/6.53 (define @t654 () (tptp.hBOOL (tptp.hAPP @t653 @t135))) % 6.34/6.53 (define @t655 () (not @t654)) % 6.34/6.53 (define @t656 () (=> @t505 (=> @t655 @t652))) % 6.34/6.53 (define @t657 () (tptp.class_Rings_Olinordered__idom @t35)) % 6.34/6.53 (define @t658 () (@list @t135 @t136 @t35)) % 6.34/6.53 (define @t659 () (tptp.hAPP @t604 @t136)) % 6.34/6.53 (define @t660 () (tptp.hAPP @t606 @t136)) % 6.34/6.53 (define @t661 () (@list @t136 @t30 @t35)) % 6.34/6.53 (define @t662 () (tptp.c_Sum__Type_OInl @t127 @t465)) % 6.34/6.53 (define @t663 () (tptp.hAPP @t662 @t140)) % 6.34/6.53 (define @t664 () (@list @t140 @t44 @t37 @t465 @t30 @t127)) % 6.34/6.53 (define @t665 () (tptp.hAPP @t44 @t64)) % 6.34/6.53 (define @t666 () (tptp.hAPP (tptp.c_Sum__Type_OInr @t465 @t127) @t64)) % 6.34/6.53 (define @t667 () (@list @t64 @t44 @t37 @t465 @t30 @t127)) % 6.34/6.53 (define @t668 () (tptp.hAPP @t2 @t378)) % 6.34/6.53 (define @t669 () (@list @t378 @t2 @t465 @t30 @t127)) % 6.34/6.53 (define @t670 () (@var "V_n_H_2" $$unsorted)) % 6.34/6.53 (define @t671 () (tptp.class_Orderings_Oorder @t30)) % 6.34/6.53 (define @t672 () (tptp.hAPP @t629 @t135)) % 6.34/6.53 (define @t673 () (tptp.hAPP @t629 @t136)) % 6.34/6.53 (define @t674 () (tptp.hAPP @t623 @t322)) % 6.34/6.53 (define @t675 () (@list @t322)) % 6.34/6.53 (define @t676 () (tptp.hAPP @t626 @t544)) % 6.34/6.53 (define @t677 () (tptp.hAPP @t629 @t544)) % 6.34/6.53 (define @t678 () (tptp.hBOOL (tptp.hAPP @t677 @t546))) % 6.34/6.53 (define @t679 () (tptp.hAPP @t626 @t317)) % 6.34/6.53 (define @t680 () (@list @t317)) % 6.34/6.53 (define @t681 () (@var "V_w" $$unsorted)) % 6.34/6.53 (define @t682 () (tptp.hAPP @t626 @t681)) % 6.34/6.53 (define @t683 () (tptp.hAPP @t682 @t317)) % 6.34/6.53 (define @t684 () (tptp.hAPP @t679 @t681)) % 6.34/6.53 (define @t685 () (@list @t681 @t317)) % 6.34/6.53 (define @t686 () (tptp.hAPP @t626 @t136)) % 6.34/6.53 (define @t687 () (tptp.hAPP @t626 @t135)) % 6.34/6.53 (define @t688 () (@var "V_z3" $$unsorted)) % 6.34/6.53 (define @t689 () (@var "V_z2" $$unsorted)) % 6.34/6.53 (define @t690 () (@var "V_z1" $$unsorted)) % 6.34/6.53 (define @t691 () (tptp.hAPP @t626 @t690)) % 6.34/6.53 (define @t692 () (tptp.hAPP @t691 @t689)) % 6.34/6.53 (define @t693 () (@list @t688 @t689 @t690)) % 6.34/6.53 (define @t694 () (tptp.hAPP @t623 @t135)) % 6.34/6.53 (define @t695 () (tptp.hAPP @t623 @t136)) % 6.34/6.53 (define @t696 () (@var "V_y_2" $$unsorted)) % 6.34/6.53 (define @t697 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t378) @t696))) % 6.34/6.53 (define @t698 () (tptp.hAPP @t623 @t696)) % 6.34/6.53 (define @t699 () (tptp.hAPP @t623 @t378)) % 6.34/6.53 (define @t700 () (@list @t696 @t378)) % 6.34/6.53 (define @t701 () (tptp.hAPP @t623 @t46)) % 6.34/6.53 (define @t702 () (tptp.hBOOL (tptp.hAPP @t475 @t46))) % 6.34/6.53 (define @t703 () (tptp.hBOOL (tptp.hAPP @t637 @t322))) % 6.34/6.53 (define @t704 () (tptp.hBOOL (tptp.hAPP @t637 @t628))) % 6.34/6.53 (define @t705 () (tptp.c_Int_Oring__1__class_Oof__int @t30)) % 6.34/6.53 (define @t706 () (tptp.hAPP @t705 @t628)) % 6.34/6.53 (define @t707 () (@list @t628 @t30)) % 6.34/6.53 (define @t708 () (tptp.hAPP @t629 @t628)) % 6.34/6.53 (define @t709 () (tptp.hBOOL (tptp.hAPP @t708 @t636))) % 6.34/6.53 (define @t710 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 6.34/6.53 (define @t711 () (tptp.hAPP @t710 @t674)) % 6.34/6.53 (define @t712 () (tptp.hBOOL (tptp.hAPP @t475 @t322))) % 6.34/6.53 (define @t713 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 6.34/6.53 (define @t714 () (tptp.hAPP @t713 (tptp.hAPP @t623 @t36))) % 6.34/6.53 (define @t715 () (tptp.hAPP @t629 @t714)) % 6.34/6.53 (define @t716 () (tptp.hAPP @t629 @t178)) % 6.34/6.53 (define @t717 () (tptp.hAPP tptp.c_Int_Onat @t178)) % 6.34/6.53 (define @t718 () (@list @t178 @t27)) % 6.34/6.53 (define @t719 () (tptp.hAPP tptp.c_Int_Onat @t628)) % 6.34/6.53 (define @t720 () (@list @t628)) % 6.34/6.53 (define @t721 () (tptp.c_Groups_Ouminus__class_Ouminus @t35)) % 6.34/6.53 (define @t722 () (tptp.hAPP @t721 @t278)) % 6.34/6.53 (define @t723 () (tptp.class_Groups_Ogroup__add @t35)) % 6.34/6.53 (define @t724 () (tptp.hAPP @t713 @t317)) % 6.34/6.53 (define @t725 () (tptp.c_Int_Oring__1__class_Oof__int @t35)) % 6.34/6.53 (define @t726 () (tptp.hAPP @t725 @t317)) % 6.34/6.53 (define @t727 () (tptp.class_Rings_Oring__1 @t35)) % 6.34/6.53 (define @t728 () (@list @t317 @t35)) % 6.34/6.53 (define @t729 () (tptp.hAPP @t725 @t681)) % 6.34/6.53 (define @t730 () (tptp.c_Groups_Otimes__class_Otimes @t35)) % 6.34/6.53 (define @t731 () (tptp.hAPP @t710 @t681)) % 6.34/6.53 (define @t732 () (tptp.hAPP @t731 @t317)) % 6.34/6.53 (define @t733 () (@list @t317 @t681 @t35)) % 6.34/6.53 (define @t734 () (tptp.hAPP @t730 @t389)) % 6.34/6.53 (define @t735 () (tptp.hAPP @t734 @t278)) % 6.34/6.53 (define @t736 () (tptp.hAPP @t730 @t278)) % 6.34/6.53 (define @t737 () (tptp.hAPP @t736 @t389)) % 6.34/6.53 (define @t738 () (tptp.hAPP @t710 @t317)) % 6.34/6.53 (define @t739 () (tptp.hAPP @t738 @t681)) % 6.34/6.53 (define @t740 () (tptp.c_Groups_Ouminus__class_Ouminus @t30)) % 6.34/6.53 (define @t741 () (tptp.hAPP @t740 @t140)) % 6.34/6.53 (define @t742 () (tptp.hAPP @t740 @t64)) % 6.34/6.53 (define @t743 () (= @t140 @t742)) % 6.34/6.53 (define @t744 () (tptp.class_Groups_Ogroup__add @t30)) % 6.34/6.53 (define @t745 () (@list @t64 @t140 @t30)) % 6.34/6.53 (define @t746 () (@var "V_ry" $$unsorted)) % 6.34/6.53 (define @t747 () (@var "V_lx" $$unsorted)) % 6.34/6.53 (define @t748 () (tptp.hAPP @t730 @t747)) % 6.34/6.53 (define @t749 () (@var "V_rx" $$unsorted)) % 6.34/6.53 (define @t750 () (tptp.hAPP @t730 @t749)) % 6.34/6.53 (define @t751 () (tptp.hAPP @t750 @t746)) % 6.34/6.53 (define @t752 () (tptp.hAPP @t748 @t751)) % 6.34/6.53 (define @t753 () (@list @t746 @t749 @t747 @t35)) % 6.34/6.53 (define @t754 () (tptp.hAPP @t730 (tptp.hAPP @t748 @t749))) % 6.34/6.53 (define @t755 () (= @t625 @t628)) % 6.34/6.53 (define @t756 () (tptp.hAPP @t705 @t625)) % 6.34/6.53 (define @t757 () (tptp.class_Int_Oring__char__0 @t30)) % 6.34/6.53 (define @t758 () (@list @t628 @t625 @t30)) % 6.34/6.53 (define @t759 () (= @t140 @t64)) % 6.34/6.53 (define @t760 () (tptp.hAPP @t734 @t111)) % 6.34/6.53 (define @t761 () (@var "V_ly" $$unsorted)) % 6.34/6.53 (define @t762 () (tptp.hAPP @t730 @t761)) % 6.34/6.53 (define @t763 () (tptp.hAPP @t730 (tptp.hAPP @t748 @t761))) % 6.34/6.53 (define @t764 () (tptp.hAPP @t763 @t749)) % 6.34/6.53 (define @t765 () (@list @t749 @t761 @t747 @t35)) % 6.34/6.53 (define @t766 () (tptp.hAPP @t710 @t689)) % 6.34/6.53 (define @t767 () (tptp.hAPP @t710 @t690)) % 6.34/6.53 (define @t768 () (tptp.hAPP @t763 @t751)) % 6.34/6.53 (define @t769 () (@list @t746 @t749 @t761 @t747 @t35)) % 6.34/6.53 (define @t770 () (tptp.hAPP @t721 @t389)) % 6.34/6.53 (define @t771 () (tptp.hAPP @t736 @t770)) % 6.34/6.53 (define @t772 () (tptp.hAPP @t721 @t737)) % 6.34/6.53 (define @t773 () (tptp.class_Rings_Oring @t35)) % 6.34/6.53 (define @t774 () (tptp.hAPP @t730 @t722)) % 6.34/6.53 (define @t775 () (tptp.hAPP @t774 @t389)) % 6.34/6.53 (define @t776 () (tptp.c_Groups_Otimes__class_Otimes @t30)) % 6.34/6.53 (define @t777 () (tptp.hAPP @t776 @t64)) % 6.34/6.53 (define @t778 () (tptp.hAPP @t776 @t140)) % 6.34/6.53 (define @t779 () (tptp.class_Rings_Oidom @t30)) % 6.34/6.53 (define @t780 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t781 () (tptp.hAPP @t780 @t264)) % 6.34/6.53 (define @t782 () (tptp.hAPP @t781 @t10)) % 6.34/6.53 (define @t783 () (tptp.hAPP @t725 @t322)) % 6.34/6.53 (define @t784 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t322) @t636))) % 6.34/6.53 (define @t785 () (tptp.hAPP @t713 @t322)) % 6.34/6.53 (define @t786 () (@list @t322 @t35)) % 6.34/6.53 (define @t787 () (tptp.hAPP @t713 @t640)) % 6.34/6.53 (define @t788 () (tptp.hAPP @t507 @t64)) % 6.34/6.53 (define @t789 () (tptp.class_Groups_Oordered__ab__group__add @t30)) % 6.34/6.53 (define @t790 () (tptp.hAPP @t507 @t742)) % 6.34/6.53 (define @t791 () (tptp.hAPP @t507 @t741)) % 6.34/6.53 (define @t792 () (tptp.hBOOL (tptp.hAPP @t791 @t64))) % 6.34/6.53 (define @t793 () (tptp.hAPP @t365 @t722)) % 6.34/6.53 (define @t794 () (tptp.hAPP @t721 @t392)) % 6.34/6.53 (define @t795 () (tptp.class_Groups_Oab__group__add @t35)) % 6.34/6.53 (define @t796 () (= @t389 @t364)) % 6.34/6.53 (define @t797 () (= @t278 @t364)) % 6.34/6.53 (define @t798 () (= @t737 @t364)) % 6.34/6.53 (define @t799 () (tptp.class_Rings_Ono__zero__divisors @t35)) % 6.34/6.53 (define @t800 () (not @t796)) % 6.34/6.53 (define @t801 () (not @t797)) % 6.34/6.53 (define @t802 () (= @t64 @t352)) % 6.34/6.53 (define @t803 () (tptp.hAPP @t778 @t64)) % 6.34/6.53 (define @t804 () (= (tptp.hAPP @t736 @t364) @t364)) % 6.34/6.53 (define @t805 () (tptp.class_Rings_Omult__zero @t35)) % 6.34/6.53 (define @t806 () (= (tptp.hAPP (tptp.hAPP @t730 @t364) @t278) @t364)) % 6.34/6.53 (define @t807 () (@var "V_e" $$unsorted)) % 6.34/6.53 (define @t808 () (tptp.hAPP @t730 @t392)) % 6.34/6.53 (define @t809 () (tptp.hAPP @t736 @t111)) % 6.34/6.53 (define @t810 () (= (tptp.hAPP @t808 @t111) (tptp.hAPP (tptp.hAPP @t365 @t809) @t760))) % 6.34/6.53 (define @t811 () (= @t696 @t628)) % 6.34/6.53 (define @t812 () (tptp.hAPP @t776 @t378)) % 6.34/6.53 (define @t813 () (tptp.hAPP @t776 @t625)) % 6.34/6.53 (define @t814 () (tptp.hAPP @t812 @t628)) % 6.34/6.53 (define @t815 () (tptp.hAPP @t813 @t696)) % 6.34/6.53 (define @t816 () (tptp.hAPP @t736 @t264)) % 6.34/6.53 (define @t817 () (tptp.hAPP @t365 @t816)) % 6.34/6.53 (define @t818 () (tptp.hAPP @t777 @t25)) % 6.34/6.53 (define @t819 () (@var "V_d_2" $$unsorted)) % 6.34/6.53 (define @t820 () (tptp.hAPP @t778 @t819)) % 6.34/6.53 (define @t821 () (tptp.hAPP @t778 @t25)) % 6.34/6.53 (define @t822 () (= @t25 @t819)) % 6.34/6.53 (define @t823 () (not @t759)) % 6.34/6.53 (define @t824 () (@list @t819 @t25 @t64 @t140 @t30)) % 6.34/6.53 (define @t825 () (tptp.hAPP @t730 @t136)) % 6.34/6.53 (define @t826 () (tptp.hAPP @t825 @t317)) % 6.34/6.53 (define @t827 () (tptp.hAPP @t825 @t135)) % 6.34/6.53 (define @t828 () (tptp.hAPP @t365 @t135)) % 6.34/6.53 (define @t829 () (tptp.hAPP @t828 @t317)) % 6.34/6.53 (define @t830 () (@list @t317 @t135 @t136 @t35)) % 6.34/6.53 (define @t831 () (tptp.hAPP @t713 @t681)) % 6.34/6.53 (define @t832 () (tptp.hAPP @t626 @t724)) % 6.34/6.53 (define @t833 () (tptp.hAPP @t766 @t681)) % 6.34/6.53 (define @t834 () (tptp.hAPP @t767 @t681)) % 6.34/6.53 (define @t835 () (@list @t681 @t689 @t690)) % 6.34/6.53 (define @t836 () (tptp.hAPP @t731 @t689)) % 6.34/6.53 (define @t837 () (tptp.hAPP @t731 @t690)) % 6.34/6.53 (define @t838 () (@list @t689 @t690 @t681)) % 6.34/6.53 (define @t839 () (tptp.hAPP tptp.c_Int_Onat @t636)) % 6.34/6.53 (define @t840 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 6.34/6.53 (define @t841 () (= (tptp.hAPP @t793 @t278) @t364)) % 6.34/6.53 (define @t842 () (tptp.hAPP @t730 @t111)) % 6.34/6.53 (define @t843 () (tptp.hAPP @t842 @t389)) % 6.34/6.53 (define @t844 () (tptp.hAPP @t842 @t278)) % 6.34/6.53 (define @t845 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t844) @t843))) % 6.34/6.53 (define @t846 () (tptp.hBOOL (tptp.hAPP @t524 @t364))) % 6.34/6.53 (define @t847 () (tptp.hBOOL (tptp.hAPP @t574 @t278))) % 6.34/6.53 (define @t848 () (tptp.class_Rings_Olinordered__ring__strict @t35)) % 6.34/6.53 (define @t849 () (tptp.hAPP @t515 @t809)) % 6.34/6.53 (define @t850 () (tptp.hBOOL (tptp.hAPP @t849 @t760))) % 6.34/6.53 (define @t851 () (tptp.hBOOL (tptp.hAPP @t580 @t111))) % 6.34/6.53 (define @t852 () (=> @t519 (=> @t851 @t845))) % 6.34/6.53 (define @t853 () (tptp.class_Rings_Olinordered__semiring__strict @t35)) % 6.34/6.53 (define @t854 () (tptp.hBOOL (tptp.hAPP @t580 @t737))) % 6.34/6.53 (define @t855 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t737) @t364))) % 6.34/6.53 (define @t856 () (tptp.hBOOL (tptp.hAPP @t788 @t140))) % 6.34/6.53 (define @t857 () (tptp.hAPP @t776 @t25)) % 6.34/6.53 (define @t858 () (tptp.hAPP @t857 @t64)) % 6.34/6.53 (define @t859 () (tptp.hAPP @t857 @t140)) % 6.34/6.53 (define @t860 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t859) @t858))) % 6.34/6.53 (define @t861 () (tptp.hAPP @t507 @t25)) % 6.34/6.53 (define @t862 () (tptp.hBOOL (tptp.hAPP @t861 @t352))) % 6.34/6.53 (define @t863 () (tptp.class_Rings_Olinordered__ring__strict @t30)) % 6.34/6.53 (define @t864 () (=> @t584 @t582)) % 6.34/6.53 (define @t865 () (@list @t278 @t389 @t35)) % 6.34/6.53 (define @t866 () (tptp.hBOOL (tptp.hAPP @t588 @t25))) % 6.34/6.53 (define @t867 () (or (and @t866 @t509) (and @t862 @t856))) % 6.34/6.53 (define @t868 () (tptp.hAPP @t507 @t821)) % 6.34/6.53 (define @t869 () (tptp.hAPP @t736 @t278)) % 6.34/6.53 (define @t870 () (tptp.class_Rings_Olinordered__ring @t35)) % 6.34/6.53 (define @t871 () (= @t696 @t352)) % 6.34/6.53 (define @t872 () (and @t379 @t871)) % 6.34/6.53 (define @t873 () (tptp.hAPP @t812 @t378)) % 6.34/6.53 (define @t874 () (tptp.hAPP (tptp.hAPP @t354 @t873) (tptp.hAPP (tptp.hAPP @t776 @t696) @t696))) % 6.34/6.53 (define @t875 () (@list @t696 @t378 @t30)) % 6.34/6.53 (define @t876 () (@var "V_r" $$unsorted)) % 6.34/6.53 (define @t877 () (tptp.hAPP @t730 @t876)) % 6.34/6.53 (define @t878 () (= @t278 @t389)) % 6.34/6.53 (define @t879 () (and @t338 @t339)) % 6.34/6.53 (define @t880 () (tptp.hAPP @t710 @t322)) % 6.34/6.53 (define @t881 () (= @t628 @t636)) % 6.34/6.53 (define @t882 () (@list @t10 @t35)) % 6.34/6.53 (define @t883 () (tptp.hAPP tptp.c_Int_Onat @t625)) % 6.34/6.53 (define @t884 () (tptp.hAPP @t474 @t883)) % 6.34/6.53 (define @t885 () (tptp.hBOOL (tptp.hAPP @t884 @t719))) % 6.34/6.53 (define @t886 () (= @t885 @t631)) % 6.34/6.53 (define @t887 () (@list @t625 @t628)) % 6.34/6.53 (define @t888 () (@list @t628 @t325)) % 6.34/6.53 (define @t889 () (not @t871)) % 6.34/6.53 (define @t890 () (or (not @t379) @t889)) % 6.34/6.53 (define @t891 () (tptp.hAPP @t730 @t135)) % 6.34/6.53 (define @t892 () (tptp.hAPP @t825 @t136)) % 6.34/6.53 (define @t893 () (tptp.hAPP (tptp.hAPP @t365 @t892) (tptp.hAPP @t891 @t135))) % 6.34/6.53 (define @t894 () (= @t378 @t696)) % 6.34/6.53 (define @t895 () (@list @t10 @t544)) % 6.34/6.53 (define @t896 () (@list @t136)) % 6.34/6.53 (define @t897 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 6.34/6.53 (define @t898 () (tptp.hAPP @t897 @t636)) % 6.34/6.53 (define @t899 () (tptp.hBOOL (tptp.hAPP @t898 @t625))) % 6.34/6.53 (define @t900 () (@list @t325 @t625)) % 6.34/6.53 (define @t901 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 6.34/6.53 (define @t902 () (tptp.hAPP @t629 @t901)) % 6.34/6.53 (define @t903 () (tptp.hAPP @t474 @t300)) % 6.34/6.53 (define @t904 () (tptp.hAPP tptp.c_Int_Onat @t317)) % 6.34/6.53 (define @t905 () (tptp.hBOOL (tptp.hAPP @t898 @t317))) % 6.34/6.53 (define @t906 () (tptp.hAPP @t686 @t135)) % 6.34/6.53 (define @t907 () (tptp.hAPP tptp.c_Int_Onat @t135)) % 6.34/6.53 (define @t908 () (tptp.hAPP tptp.c_Int_Onat @t136)) % 6.34/6.53 (define @t909 () (tptp.hBOOL (tptp.hAPP @t898 @t135))) % 6.34/6.53 (define @t910 () (tptp.hBOOL (tptp.hAPP @t898 @t136))) % 6.34/6.53 (define @t911 () (@var "V_z_H" $$unsorted)) % 6.34/6.53 (define @t912 () (tptp.hAPP tptp.c_Int_Onat @t911)) % 6.34/6.53 (define @t913 () (tptp.hBOOL (tptp.hAPP @t898 @t911))) % 6.34/6.53 (define @t914 () (@list @t911 @t317)) % 6.34/6.53 (define @t915 () (and (=> @t899 (= @t625 @t634)) (=> (not @t899) @t339))) % 6.34/6.53 (define @t916 () (tptp.hAPP @t897 @t787)) % 6.34/6.53 (define @t917 () (tptp.hAPP @t780 @t10)) % 6.34/6.53 (define @t918 () (tptp.hAPP @t917 @t264)) % 6.34/6.53 (define @t919 () (tptp.hAPP @t917 @t322)) % 6.34/6.53 (define @t920 () (tptp.hAPP @t897 @t681)) % 6.34/6.53 (define @t921 () (tptp.hBOOL (tptp.hAPP @t920 @t317))) % 6.34/6.53 (define @t922 () (tptp.hAPP @t897 @t317)) % 6.34/6.53 (define @t923 () (tptp.hBOOL (tptp.hAPP @t922 @t681))) % 6.34/6.53 (define @t924 () (tptp.hAPP @t897 @t544)) % 6.34/6.53 (define @t925 () (tptp.hBOOL (tptp.hAPP @t924 @t546))) % 6.34/6.53 (define @t926 () (tptp.c_Groups_Oone__class_Oone @t30)) % 6.34/6.53 (define @t927 () (= @t378 @t926)) % 6.34/6.53 (define @t928 () (@list @t681)) % 6.34/6.53 (define @t929 () (tptp.c_Groups_Oone__class_Oone @t35)) % 6.34/6.53 (define @t930 () (tptp.c_Orderings_Oord__class_Oless__eq @t35)) % 6.34/6.53 (define @t931 () (tptp.hAPP @t930 @t929)) % 6.34/6.53 (define @t932 () (tptp.hAPP @t930 @t364)) % 6.34/6.53 (define @t933 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t935 () (tptp.hAPP @t934 @t325)) % 6.34/6.53 (define @t936 () (tptp.hBOOL (tptp.hAPP @t935 @t23))) % 6.34/6.53 (define @t937 () (tptp.c_Orderings_Oord__class_Oless__eq @t30)) % 6.34/6.53 (define @t938 () (tptp.hAPP @t897 @t625)) % 6.34/6.53 (define @t939 () (tptp.hBOOL (tptp.hAPP @t938 @t628))) % 6.34/6.53 (define @t940 () (tptp.hAPP @t930 @t135)) % 6.34/6.53 (define @t941 () (tptp.hBOOL (tptp.hAPP @t940 @t929))) % 6.34/6.53 (define @t942 () (tptp.hBOOL (tptp.hAPP @t932 @t135))) % 6.34/6.53 (define @t943 () (tptp.hBOOL (tptp.hAPP @t932 @t136))) % 6.34/6.53 (define @t944 () (tptp.hAPP @t891 @t136)) % 6.34/6.53 (define @t945 () (tptp.hAPP @t897 @t901)) % 6.34/6.53 (define @t946 () (tptp.hBOOL (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t626 @t628) @t901)))) % 6.34/6.53 (define @t947 () (@list @t317 @t681)) % 6.34/6.53 (define @t948 () (tptp.class_Rings_Ozero__neq__one @t35)) % 6.34/6.53 (define @t949 () (= (tptp.hAPP @t736 @t929) @t278)) % 6.34/6.53 (define @t950 () (tptp.class_Groups_Ocomm__monoid__mult @t35)) % 6.34/6.53 (define @t951 () (tptp.class_Groups_Omonoid__mult @t35)) % 6.34/6.53 (define @t952 () (= (tptp.hAPP (tptp.hAPP @t730 @t929) @t278) @t278)) % 6.34/6.53 (define @t953 () (tptp.hAPP @t937 @t140)) % 6.34/6.53 (define @t954 () (tptp.hBOOL (tptp.hAPP @t953 @t64))) % 6.34/6.53 (define @t955 () (tptp.hAPP @t930 @t383)) % 6.34/6.53 (define @t956 () (tptp.hBOOL (tptp.hAPP @t955 @t391))) % 6.34/6.53 (define @t957 () (tptp.hAPP @t930 @t278)) % 6.34/6.53 (define @t958 () (tptp.hBOOL (tptp.hAPP @t957 @t389))) % 6.34/6.53 (define @t959 () (tptp.class_Groups_Oordered__ab__semigroup__add @t35)) % 6.34/6.53 (define @t960 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t382) @t521))) % 6.34/6.53 (define @t961 () (tptp.hAPP @t930 @t111)) % 6.34/6.53 (define @t962 () (tptp.hBOOL (tptp.hAPP @t961 @t384))) % 6.34/6.53 (define @t963 () (= @t327 @t214)) % 6.34/6.53 (define @t964 () (or @t326 @t963)) % 6.34/6.53 (define @t965 () (tptp.hAPP @t780 @t23)) % 6.34/6.53 (define @t966 () (tptp.hAPP @t965 @t327)) % 6.34/6.53 (define @t967 () (tptp.hAPP @t780 @t325)) % 6.34/6.53 (define @t968 () (tptp.hAPP @t967 @t327)) % 6.34/6.53 (define @t969 () (tptp.hAPP @t780 @t327)) % 6.34/6.53 (define @t970 () (tptp.hAPP @t969 @t23)) % 6.34/6.53 (define @t971 () (tptp.hAPP @t969 @t325)) % 6.34/6.53 (define @t972 () (= @t971 @t970)) % 6.34/6.53 (define @t973 () (tptp.hAPP @t967 @t23)) % 6.34/6.53 (define @t974 () (tptp.hAPP tptp.c_Nat_OSuc @t327)) % 6.34/6.53 (define @t975 () (tptp.hAPP @t780 @t974)) % 6.34/6.53 (define @t976 () (tptp.hAPP @t975 @t23)) % 6.34/6.53 (define @t977 () (tptp.hAPP @t975 @t325)) % 6.34/6.53 (define @t978 () (tptp.class_Groups_Oordered__ab__group__add @t35)) % 6.34/6.53 (define @t979 () (tptp.hAPP @t937 @t742)) % 6.34/6.53 (define @t980 () (tptp.hAPP @t937 @t741)) % 6.34/6.53 (define @t981 () (tptp.hBOOL (tptp.hAPP @t980 @t64))) % 6.34/6.53 (define @t982 () (tptp.hAPP @t937 @t64)) % 6.34/6.53 (define @t983 () (tptp.hAPP @t781 @t322)) % 6.34/6.53 (define @t984 () (tptp.hAPP @t780 @t322)) % 6.34/6.53 (define @t985 () (tptp.hAPP @t984 @t10)) % 6.34/6.53 (define @t986 () (tptp.hAPP @t984 @t264)) % 6.34/6.53 (define @t987 () (@list @t10 @t264 @t322)) % 6.34/6.53 (define @t988 () (tptp.hAPP @t897 @t628)) % 6.34/6.53 (define @t989 () (tptp.hAPP @t626 @t322)) % 6.34/6.53 (define @t990 () (@var "V_v" $$unsorted)) % 6.34/6.53 (define @t991 () (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP (tptp.hAPP @t730 @t258) @t136)) (tptp.hAPP (tptp.hAPP @t730 @t990) @t135))) % 6.34/6.53 (define @t992 () (= (tptp.hAPP (tptp.hAPP @t365 @t258) @t990) @t929)) % 6.34/6.53 (define @t993 () (tptp.hBOOL (tptp.hAPP @t932 @t990))) % 6.34/6.53 (define @t994 () (tptp.hBOOL (tptp.hAPP @t932 @t258))) % 6.34/6.53 (define @t995 () (tptp.hAPP @t930 @t136)) % 6.34/6.53 (define @t996 () (tptp.hBOOL (tptp.hAPP @t995 @t278))) % 6.34/6.53 (define @t997 () (@list @t990 @t258 @t135 @t278 @t136 @t35)) % 6.34/6.53 (define @t998 () (tptp.hAPP @t626 @t901)) % 6.34/6.53 (define @t999 () (tptp.hAPP @t998 @t317)) % 6.34/6.53 (define @t1000 () (tptp.hAPP (tptp.hAPP @t710 @t136) @t135)) % 6.34/6.53 (define @t1001 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t738 @t911))) % 6.34/6.53 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t898 @t628))) % 6.34/6.53 (define @t1003 () (tptp.hAPP @t937 @t352)) % 6.34/6.53 (define @t1004 () (tptp.hBOOL (tptp.hAPP @t653 @t278))) % 6.34/6.53 (define @t1005 () (tptp.hAPP @t515 @t929)) % 6.34/6.53 (define @t1006 () (tptp.hBOOL (tptp.hAPP @t922 @t636))) % 6.34/6.53 (define @t1007 () (tptp.hAPP @t366 @t929)) % 6.34/6.53 (define @t1008 () (tptp.hAPP (tptp.hAPP @t730 @t1007) @t264)) % 6.34/6.53 (define @t1009 () (tptp.hAPP @t365 @t264)) % 6.34/6.53 (define @t1010 () (tptp.hAPP @t365 @t929)) % 6.34/6.53 (define @t1011 () (tptp.hAPP @t1010 @t929)) % 6.34/6.53 (define @t1012 () (tptp.hAPP @t730 @t1011)) % 6.34/6.53 (define @t1013 () (tptp.hAPP @t930 @t389)) % 6.34/6.53 (define @t1014 () (tptp.hBOOL (tptp.hAPP @t1013 @t364))) % 6.34/6.53 (define @t1015 () (tptp.hBOOL (tptp.hAPP @t957 @t364))) % 6.34/6.53 (define @t1016 () (tptp.hBOOL (tptp.hAPP @t1013 @t383))) % 6.34/6.53 (define @t1017 () (tptp.hBOOL (tptp.hAPP @t1013 @t278))) % 6.34/6.53 (define @t1018 () (tptp.hBOOL (tptp.hAPP @t932 @t111))) % 6.34/6.53 (define @t1019 () (@list @t278 @t389 @t111 @t35)) % 6.34/6.53 (define @t1020 () (tptp.hBOOL (tptp.hAPP @t1013 @t111))) % 6.34/6.53 (define @t1021 () (tptp.hBOOL (tptp.hAPP @t932 @t278))) % 6.34/6.53 (define @t1022 () (tptp.hAPP @t354 @t378)) % 6.34/6.53 (define @t1023 () (tptp.hAPP @t1022 @t696)) % 6.34/6.53 (define @t1024 () (tptp.hBOOL (tptp.hAPP @t932 @t389))) % 6.34/6.53 (define @t1025 () (tptp.hBOOL (tptp.hAPP @t953 @t352))) % 6.34/6.53 (define @t1026 () (tptp.hBOOL (tptp.hAPP @t1003 @t140))) % 6.34/6.53 (define @t1027 () (tptp.hBOOL (tptp.hAPP @t982 @t352))) % 6.34/6.53 (define @t1028 () (tptp.hBOOL (tptp.hAPP @t1003 @t64))) % 6.34/6.53 (define @t1029 () (or (and @t1026 @t1028) (and @t1025 @t1027))) % 6.34/6.53 (define @t1030 () (or (and @t1026 @t1027) (and @t1025 @t1028))) % 6.34/6.53 (define @t1031 () (tptp.hBOOL (tptp.hAPP @t932 @t737))) % 6.34/6.53 (define @t1032 () (tptp.class_Rings_Oordered__cancel__semiring @t35)) % 6.34/6.53 (define @t1033 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t737) @t364))) % 6.34/6.53 (define @t1034 () (tptp.class_Rings_Oordered__ring @t35)) % 6.34/6.53 (define @t1035 () (tptp.hAPP @t930 @t809)) % 6.34/6.53 (define @t1036 () (tptp.hBOOL (tptp.hAPP @t1035 @t760))) % 6.34/6.53 (define @t1037 () (tptp.class_Rings_Oordered__semiring @t35)) % 6.34/6.53 (define @t1038 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t844) @t843))) % 6.34/6.53 (define @t1039 () (=> @t958 (=> @t1018 @t1038))) % 6.34/6.53 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t961 @t364))) % 6.34/6.53 (define @t1041 () (tptp.hAPP @t734 @t384)) % 6.34/6.53 (define @t1042 () (=> @t1018 (tptp.hBOOL (tptp.hAPP @t1035 @t1041)))) % 6.34/6.53 (define @t1043 () (tptp.hAPP @t740 @t926)) % 6.34/6.53 (define @t1044 () (tptp.class_Rings_Oring__1__no__zero__divisors @t30)) % 6.34/6.53 (define @t1045 () (tptp.hAPP @t721 @t929)) % 6.34/6.53 (define @t1046 () (tptp.hAPP @t721 @t136)) % 6.34/6.53 (define @t1047 () (tptp.class_Rings_Ocomm__ring__1 @t35)) % 6.34/6.53 (define @t1048 () (tptp.hAPP @t984 @t546)) % 6.34/6.53 (define @t1049 () (tptp.hAPP @t984 @t544)) % 6.34/6.53 (define @t1050 () (tptp.hAPP @t780 @t546)) % 6.34/6.53 (define @t1051 () (tptp.hAPP @t1050 @t322)) % 6.34/6.53 (define @t1052 () (tptp.hAPP @t780 @t544)) % 6.34/6.53 (define @t1053 () (tptp.hAPP @t1052 @t322)) % 6.34/6.53 (define @t1054 () (tptp.hBOOL (tptp.hAPP @t475 @t327))) % 6.34/6.53 (define @t1055 () (and @t1054 @t497)) % 6.34/6.53 (define @t1056 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t971) @t970))) % 6.34/6.53 (define @t1057 () (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t623 @t4)))) % 6.34/6.53 (define @t1058 () (tptp.hAPP @t27 @t4)) % 6.34/6.53 (define @t1059 () (tptp.hBOOL @t1058)) % 6.34/6.53 (define @t1060 () (tptp.hBOOL (tptp.hAPP @t898 @t4))) % 6.34/6.53 (define @t1061 () (@list @t27)) % 6.34/6.53 (define @t1062 () (tptp.hAPP @t623 @t317)) % 6.34/6.53 (define @t1063 () (@var "V_z_H_2" $$unsorted)) % 6.34/6.53 (define @t1064 () (tptp.hAPP tptp.c_Int_Onat @t1063)) % 6.34/6.53 (define @t1065 () (tptp.hAPP tptp.c_Int_Onat @t696)) % 6.34/6.53 (define @t1066 () (tptp.hAPP tptp.c_Int_Onat @t378)) % 6.34/6.53 (define @t1067 () (tptp.hBOOL (tptp.hAPP @t898 @t696))) % 6.34/6.53 (define @t1068 () (tptp.hBOOL (tptp.hAPP @t898 @t378))) % 6.34/6.53 (define @t1069 () (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP tptp.c_Int_Onat @t4)))) % 6.34/6.53 (define @t1070 () (@var "B_x1" $$unsorted)) % 6.34/6.53 (define @t1071 () (tptp.hBOOL (tptp.hAPP @t27 @t1070))) % 6.34/6.53 (define @t1072 () (@list @t1070)) % 6.34/6.53 (define @t1073 () (forall @t1072 @t1071)) % 6.34/6.53 (define @t1074 () (exists @t1072 @t1071)) % 6.34/6.53 (define @t1075 () (@var "V_w_H" $$unsorted)) % 6.34/6.53 (define @t1076 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t911) @t317))) % 6.34/6.53 (define @t1077 () (tptp.hAPP (tptp.hAPP @t710 @t641) @t640)) % 6.34/6.53 (define @t1078 () (tptp.hAPP @t623 @t782)) % 6.34/6.53 (define @t1079 () (tptp.hAPP (tptp.hAPP @t780 @t136) @t135)) % 6.34/6.53 (define @t1080 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t859) @t858))) % 6.34/6.53 (define @t1081 () (tptp.hBOOL (tptp.hAPP @t982 @t140))) % 6.34/6.53 (define @t1082 () (tptp.hBOOL (tptp.hAPP @t849 @t1041))) % 6.34/6.53 (define @t1083 () (=> @t1018 @t1082)) % 6.34/6.53 (define @t1084 () (=> @t1018 @t519)) % 6.34/6.53 (define @t1085 () (=> @t850 @t1084)) % 6.34/6.53 (define @t1086 () (tptp.class_Rings_Olinordered__semiring @t35)) % 6.34/6.53 (define @t1087 () (=> @t845 @t1084)) % 6.34/6.53 (define @t1088 () (=> @t851 @t958)) % 6.34/6.53 (define @t1089 () (tptp.hBOOL (tptp.hAPP @t903 @t264))) % 6.34/6.53 (define @t1090 () (tptp.hBOOL (tptp.hAPP @t903 @t10))) % 6.34/6.53 (define @t1091 () (tptp.hAPP @t897 @t633)) % 6.34/6.53 (define @t1092 () (tptp.hAPP @t897 @t178)) % 6.34/6.53 (define @t1093 () (tptp.hBOOL (tptp.hAPP @t1092 @t636))) % 6.34/6.53 (define @t1094 () (@list @t178)) % 6.34/6.53 (define @t1095 () (= @t904 @t214)) % 6.34/6.53 (define @t1096 () (tptp.hAPP tptp.c_Int_Onat @t901)) % 6.34/6.53 (define @t1097 () (tptp.hAPP @t623 @t904)) % 6.34/6.53 (define @t1098 () (= @t1097 @t317)) % 6.34/6.53 (define @t1099 () (=> @t905 @t1098)) % 6.34/6.53 (define @t1100 () (and (= @t325 @t901) (= @t23 @t901))) % 6.34/6.53 (define @t1101 () (tptp.hAPP (tptp.hAPP @t710 @t325) @t23)) % 6.34/6.53 (define @t1102 () (= @t1101 @t901)) % 6.34/6.53 (define @t1103 () (tptp.hAPP @t629 @t378)) % 6.34/6.53 (define @t1104 () (tptp.hBOOL (tptp.hAPP @t1103 @t696))) % 6.34/6.53 (define @t1105 () (@var "V_q" $$unsorted)) % 6.34/6.53 (define @t1106 () (tptp.hAPP @t629 @t876)) % 6.34/6.53 (define @t1107 () (tptp.hAPP @t710 @t278)) % 6.34/6.53 (define @t1108 () (tptp.hAPP @t1107 @t1105)) % 6.34/6.53 (define @t1109 () (= @t278 (tptp.hAPP (tptp.hAPP @t626 @t876) @t1108))) % 6.34/6.53 (define @t1110 () (tptp.hBOOL (tptp.hAPP @t637 @t278))) % 6.34/6.53 (define @t1111 () (@list @t1105 @t876 @t278)) % 6.34/6.53 (define @t1112 () (tptp.hAPP @t897 @t1105)) % 6.34/6.53 (define @t1113 () (tptp.hBOOL (tptp.hAPP @t898 @t876))) % 6.34/6.53 (define @t1114 () (@var "V_q_H" $$unsorted)) % 6.34/6.53 (define @t1115 () (tptp.hAPP @t897 @t1114)) % 6.34/6.53 (define @t1116 () (tptp.hBOOL (tptp.hAPP @t1115 @t1105))) % 6.34/6.53 (define @t1117 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t608) @t389))) % 6.34/6.53 (define @t1118 () (tptp.hBOOL (tptp.hAPP @t637 @t608))) % 6.34/6.53 (define @t1119 () (@var "V_r_H" $$unsorted)) % 6.34/6.53 (define @t1120 () (tptp.hBOOL (tptp.hAPP @t898 @t1119))) % 6.34/6.53 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t1106 @t389))) % 6.34/6.53 (define @t1122 () (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t710 @t608) @t1114)) @t1119)) % 6.34/6.53 (define @t1123 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1122) @t636))) % 6.34/6.53 (define @t1124 () (tptp.hAPP @t710 @t389)) % 6.34/6.53 (define @t1125 () (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1124 @t1105)) @t876)) % 6.34/6.53 (define @t1126 () (= @t1125 @t1122)) % 6.34/6.53 (define @t1127 () (@list @t1119 @t1114 @t608 @t876 @t1105 @t389)) % 6.34/6.53 (define @t1128 () (tptp.hBOOL (tptp.hAPP @t1112 @t1114))) % 6.34/6.53 (define @t1129 () (tptp.hAPP @t629 @t389)) % 6.34/6.53 (define @t1130 () (tptp.hBOOL (tptp.hAPP @t1129 @t876))) % 6.34/6.53 (define @t1131 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t876) @t636))) % 6.34/6.53 (define @t1132 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1124 @t1114)) @t1119)) @t1125))) % 6.34/6.53 (define @t1133 () (@list @t876 @t1105 @t1119 @t1114 @t389)) % 6.34/6.53 (define @t1134 () (tptp.hAPP @t629 @t1119)) % 6.34/6.53 (define @t1135 () (tptp.hBOOL (tptp.hAPP @t1134 @t608))) % 6.34/6.53 (define @t1136 () (tptp.hBOOL (tptp.hAPP @t898 @t1122))) % 6.34/6.53 (define @t1137 () (@list @t1119 @t1114 @t608)) % 6.34/6.53 (define @t1138 () (tptp.hAPP @t934 @t214)) % 6.34/6.53 (define @t1139 () (tptp.hAPP @t934 @t10)) % 6.34/6.53 (define @t1140 () (tptp.hBOOL (tptp.hAPP @t1139 @t264))) % 6.34/6.53 (define @t1141 () (tptp.hAPP @t934 @t264)) % 6.34/6.53 (define @t1142 () (tptp.hBOOL (tptp.hAPP @t1141 @t10))) % 6.34/6.53 (define @t1143 () (tptp.hAPP @t934 @t544)) % 6.34/6.53 (define @t1144 () (tptp.hAPP @t934 @t546)) % 6.34/6.53 (define @t1145 () (tptp.hBOOL (tptp.hAPP @t1143 @t546))) % 6.34/6.53 (define @t1146 () (tptp.hAPP @t934 @t23)) % 6.34/6.53 (define @t1147 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t265) @t10))) % 6.34/6.53 (define @t1148 () (tptp.hBOOL (tptp.hAPP @t1141 @t36))) % 6.34/6.53 (define @t1149 () (tptp.hBOOL (tptp.hAPP @t1146 @t325))) % 6.34/6.53 (define @t1150 () (tptp.hAPP @t934 @t109)) % 6.34/6.53 (define @t1151 () (tptp.hBOOL (tptp.hAPP @t935 @t109))) % 6.34/6.53 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t1150 @t325))) % 6.34/6.53 (define @t1153 () (not @t936)) % 6.34/6.53 (define @t1154 () (tptp.hAPP @t934 @t136)) % 6.34/6.53 (define @t1155 () (tptp.hBOOL (tptp.hAPP @t1154 @t135))) % 6.34/6.53 (define @t1156 () (tptp.hBOOL (tptp.hAPP @t1154 @t320))) % 6.34/6.53 (define @t1157 () (tptp.hAPP @t934 @t563)) % 6.34/6.53 (define @t1158 () (tptp.hAPP @t934 @t322)) % 6.34/6.53 (define @t1159 () (tptp.hBOOL (tptp.hAPP @t1158 @t558))) % 6.34/6.53 (define @t1160 () (tptp.hBOOL (tptp.hAPP @t1158 @t10))) % 6.34/6.53 (define @t1161 () (tptp.hAPP @t314 @t322)) % 6.34/6.53 (define @t1162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1161) @t10))) % 6.34/6.53 (define @t1163 () (@list @t10 @t322 @t264)) % 6.34/6.53 (define @t1164 () (tptp.hAPP @t934 @t1053)) % 6.34/6.53 (define @t1165 () (tptp.hAPP @t781 @t264)) % 6.34/6.53 (define @t1166 () (= @t23 @t933)) % 6.34/6.53 (define @t1167 () (= @t325 @t933)) % 6.34/6.53 (define @t1168 () (and @t1167 @t1166)) % 6.34/6.53 (define @t1169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t971) @t970))) % 6.34/6.53 (define @t1170 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t534) @t23))) % 6.34/6.53 (define @t1171 () (tptp.hAPP @t301 @t933)) % 6.34/6.53 (define @t1172 () (tptp.hAPP @t1171 @t10)) % 6.34/6.53 (define @t1173 () (tptp.hAPP @t312 @t933)) % 6.34/6.53 (define @t1174 () (= @t264 @t214)) % 6.34/6.53 (define @t1175 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t378) @t696))) % 6.34/6.53 (define @t1176 () (tptp.hAPP @t623 @t933)) % 6.34/6.53 (define @t1177 () (tptp.hAPP @t934 @t300)) % 6.34/6.53 (define @t1178 () (=> @t1054 @t936)) % 6.34/6.53 (define @t1179 () (tptp.hAPP @t897 @t378)) % 6.34/6.53 (define @t1180 () (tptp.hBOOL (tptp.hAPP @t1179 @t696))) % 6.34/6.53 (define @t1181 () (tptp.hAPP @t301 (tptp.hAPP @t1050 @t258))) % 6.34/6.53 (define @t1182 () (tptp.hAPP @t301 (tptp.hAPP @t1052 @t258))) % 6.34/6.53 (define @t1183 () (tptp.class_Orderings_Opreorder @t35)) % 6.34/6.53 (define @t1184 () (tptp.hAPP @t721 @t135)) % 6.34/6.53 (define @t1185 () (tptp.hBOOL (tptp.hAPP @t995 @t135))) % 6.34/6.53 (define @t1186 () (tptp.class_Lattices_Oboolean__algebra @t35)) % 6.34/6.53 (define @t1187 () (tptp.hAPP @t937 @t696)) % 6.34/6.53 (define @t1188 () (tptp.hBOOL (tptp.hAPP @t1187 @t378))) % 6.34/6.53 (define @t1189 () (tptp.hAPP @t740 @t696)) % 6.34/6.53 (define @t1190 () (tptp.hAPP @t740 @t378)) % 6.34/6.53 (define @t1191 () (tptp.class_Lattices_Oboolean__algebra @t30)) % 6.34/6.53 (define @t1192 () (tptp.hAPP @t515 @t317)) % 6.34/6.53 (define @t1193 () (tptp.hBOOL (tptp.hAPP @t1192 @t136))) % 6.34/6.53 (define @t1194 () (=> (tptp.hBOOL (tptp.hAPP @t1192 @t135)) @t1193)) % 6.34/6.53 (define @t1195 () (tptp.hBOOL (tptp.hAPP @t940 @t136))) % 6.34/6.53 (define @t1196 () (tptp.class_Orderings_Oorder @t35)) % 6.34/6.53 (define @t1197 () (@list @t317 @t136 @t135 @t35)) % 6.34/6.53 (define @t1198 () (tptp.hBOOL (tptp.hAPP @t653 @t317))) % 6.34/6.53 (define @t1199 () (=> (tptp.hBOOL (tptp.hAPP @t651 @t317)) @t1198)) % 6.34/6.53 (define @t1200 () (tptp.hAPP @t930 @t317)) % 6.34/6.53 (define @t1201 () (tptp.hBOOL (tptp.hAPP @t1200 @t135))) % 6.34/6.53 (define @t1202 () (tptp.hBOOL (tptp.hAPP @t940 @t317))) % 6.34/6.53 (define @t1203 () (not @t878)) % 6.34/6.53 (define @t1204 () (tptp.c_Orderings_Oord__class_Oless__eq @t127)) % 6.34/6.53 (define @t1205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t6) @t5))) % 6.34/6.53 (define @t1206 () (tptp.tc_fun @t30 @t127)) % 6.34/6.53 (define @t1207 () (tptp.c_Orderings_Oord__class_Oless__eq @t1206)) % 6.34/6.53 (define @t1208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1207 @t2) @t1))) % 6.34/6.53 (define @t1209 () (tptp.class_Orderings_Oord @t127)) % 6.34/6.53 (define @t1210 () (@list @t1 @t2 @t30 @t127)) % 6.34/6.53 (define @t1211 () (tptp.class_Orderings_Olinorder @t35)) % 6.34/6.53 (define @t1212 () (tptp.hAPP @t937 @t378)) % 6.34/6.53 (define @t1213 () (tptp.hBOOL (tptp.hAPP @t1212 @t696))) % 6.34/6.53 (define @t1214 () (tptp.hAPP @t1 @t378)) % 6.34/6.53 (define @t1215 () (= @t1213 @t894)) % 6.34/6.53 (define @t1216 () (@list @t378 @t696 @t30)) % 6.34/6.53 (define @t1217 () (tptp.hBOOL (tptp.hAPP @t957 @t111))) % 6.34/6.53 (define @t1218 () (tptp.class_Orderings_Oord @t35)) % 6.34/6.53 (define @t1219 () (tptp.hBOOL (tptp.hAPP @t961 @t278))) % 6.34/6.53 (define @t1220 () (tptp.hBOOL (tptp.hAPP @t995 @t317))) % 6.34/6.53 (define @t1221 () (@list @t136 @t135 @t35)) % 6.34/6.53 (define @t1222 () (tptp.hBOOL (tptp.hAPP @t1200 @t136))) % 6.34/6.53 (define @t1223 () (tptp.hAPP @t507 @t696)) % 6.34/6.53 (define @t1224 () (tptp.hBOOL (tptp.hAPP @t1223 @t378))) % 6.34/6.53 (define @t1225 () (tptp.hAPP @t507 @t378)) % 6.34/6.53 (define @t1226 () (tptp.hBOOL (tptp.hAPP @t1225 @t696))) % 6.34/6.53 (define @t1227 () (not @t894)) % 6.34/6.53 (define @t1228 () (tptp.class_Orderings_Olinorder @t30)) % 6.34/6.53 (define @t1229 () (not @t1226)) % 6.34/6.53 (define @t1230 () (= @t1229 @t894)) % 6.34/6.53 (define @t1231 () (not (= @t135 @t136))) % 6.34/6.53 (define @t1232 () (tptp.hBOOL (tptp.hAPP @t518 @t111))) % 6.34/6.53 (define @t1233 () (tptp.hBOOL (tptp.hAPP @t524 @t278))) % 6.34/6.53 (define @t1234 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t35)) % 6.34/6.53 (define @t1235 () (@var "V_A_2" $$unsorted)) % 6.34/6.53 (define @t1236 () (tptp.hAPP @t1235 @t378)) % 6.34/6.53 (define @t1237 () (tptp.tc_fun @t127 @t30)) % 6.34/6.53 (define @t1238 () (@var "B_i" $$unsorted)) % 6.34/6.53 (define @t1239 () (tptp.hAPP @t27 @t1238)) % 6.34/6.53 (define @t1240 () (tptp.hBOOL @t1239)) % 6.34/6.53 (define @t1241 () (tptp.hAPP @t934 @t1238)) % 6.34/6.53 (define @t1242 () (@list @t1238)) % 6.34/6.53 (define @t1243 () (not @t485)) % 6.34/6.53 (define @t1244 () (tptp.c_Groups_Osgn__class_Osgn @t35 @t136)) % 6.34/6.53 (define @t1245 () (tptp.hBOOL (tptp.hAPP @t580 @t136))) % 6.34/6.53 (define @t1246 () (= @t136 @t364)) % 6.34/6.53 (define @t1247 () (tptp.class_Groups_Osgn__if @t35)) % 6.34/6.53 (define @t1248 () (tptp.c_Groups_Osgn__class_Osgn @t35 @t278)) % 6.34/6.53 (define @t1249 () (tptp.c_Groups_Osgn__class_Osgn @t30 @t140)) % 6.34/6.53 (define @t1250 () (tptp.hAPP @t713 @t901)) % 6.34/6.53 (define @t1251 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t544)) % 6.34/6.53 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t637 @t544))) % 6.34/6.53 (define @t1253 () (= @t544 @t636)) % 6.34/6.53 (define @t1254 () (not @t1253)) % 6.34/6.53 (define @t1255 () (@list @t544)) % 6.34/6.53 (define @t1256 () (@var "V_b_1" $$unsorted)) % 6.34/6.53 (define @t1257 () (not (= @t1256 @t636))) % 6.34/6.53 (define @t1258 () (tptp.hAPP @t897 @t135)) % 6.34/6.53 (define @t1259 () (tptp.hAPP @t629 @t1256)) % 6.34/6.53 (define @t1260 () (tptp.hBOOL (tptp.hAPP @t637 @t1256))) % 6.34/6.53 (define @t1261 () (not @t1260)) % 6.34/6.53 (define @t1262 () (@var "V_q_1" $$unsorted)) % 6.34/6.53 (define @t1263 () (tptp.hAPP @t710 @t1256)) % 6.34/6.53 (define @t1264 () (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1124 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1105 @t111))) @t876)) % 6.34/6.53 (define @t1265 () (tptp.hBOOL (tptp.hAPP @t637 @t111))) % 6.34/6.53 (define @t1266 () (@list @t1105 @t876 @t389 @t111)) % 6.34/6.53 (define @t1267 () (tptp.hAPP @t1124 @t111)) % 6.34/6.53 (define @t1268 () (tptp.c_Divides_Odiv__class_Omod @t35 @t278 @t389)) % 6.34/6.53 (define @t1269 () (tptp.class_Divides_Osemiring__div @t35)) % 6.34/6.53 (define @t1270 () (tptp.c_Divides_Odiv__class_Omod @t35 @t389 @t111)) % 6.34/6.53 (define @t1271 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t366 @t1270) @t111)) % 6.34/6.53 (define @t1272 () (tptp.c_Divides_Odiv__class_Omod @t35 @t392 @t111)) % 6.34/6.53 (define @t1273 () (tptp.c_Divides_Odiv__class_Omod @t35 @t278 @t111)) % 6.34/6.53 (define @t1274 () (tptp.hAPP @t365 @t1273)) % 6.34/6.53 (define @t1275 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1274 @t389) @t111)) % 6.34/6.53 (define @t1276 () (= @t1270 (tptp.c_Divides_Odiv__class_Omod @t35 @t608 @t111))) % 6.34/6.53 (define @t1277 () (= @t1273 (tptp.c_Divides_Odiv__class_Omod @t35 @t441 @t111))) % 6.34/6.53 (define @t1278 () (@list @t608 @t389 @t441 @t111 @t278 @t35)) % 6.34/6.53 (define @t1279 () (tptp.c_Divides_Odiv__class_Omod @t35 @t737 @t111)) % 6.34/6.53 (define @t1280 () (tptp.hAPP @t730 @t1273)) % 6.34/6.53 (define @t1281 () (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1280 @t389) @t111)) % 6.34/6.53 (define @t1282 () (tptp.c_Divides_Odiv__class_Omod @t35 @t722 @t389)) % 6.34/6.53 (define @t1283 () (tptp.class_Divides_Oring__div @t35)) % 6.34/6.53 (define @t1284 () (@list @t389)) % 6.34/6.53 (define @t1285 () (tptp.hAPP @t1107 @t389)) % 6.34/6.53 (define @t1286 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1285 @t111)) % 6.34/6.53 (define @t1287 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t389 @t111)) % 6.34/6.53 (define @t1288 () (tptp.hAPP @t1107 @t1287)) % 6.34/6.53 (define @t1289 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1288 @t111)) % 6.34/6.53 (define @t1290 () (@list @t111 @t389 @t278)) % 6.34/6.53 (define @t1291 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t136 @t264)) % 6.34/6.53 (define @t1292 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t389)) % 6.34/6.53 (define @t1293 () (tptp.hAPP @t713 @t389)) % 6.34/6.53 (define @t1294 () (tptp.hAPP @t713 @t278)) % 6.34/6.53 (define @t1295 () (@list @t389 @t278)) % 6.34/6.53 (define @t1296 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1294 @t389)) % 6.34/6.53 (define @t1297 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t1293)) % 6.34/6.53 (define @t1298 () (tptp.hAPP @t366 @t760)) % 6.34/6.53 (define @t1299 () (tptp.hAPP @t366 @t843)) % 6.34/6.53 (define @t1300 () (tptp.hBOOL (tptp.hAPP @t898 @t264))) % 6.34/6.53 (define @t1301 () (@list @t322 @t264)) % 6.34/6.53 (define @t1302 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t136 @t135)) % 6.34/6.53 (define @t1303 () (tptp.hBOOL (tptp.hAPP @t1129 @t1292))) % 6.34/6.53 (define @t1304 () (tptp.hBOOL (tptp.hAPP @t1129 @t636))) % 6.34/6.53 (define @t1305 () (@list @t278 @t389)) % 6.34/6.53 (define @t1306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1292) @t389))) % 6.34/6.53 (define @t1307 () (tptp.hBOOL (tptp.hAPP @t637 @t389))) % 6.34/6.53 (define @t1308 () (@var "B_q" $$unsorted)) % 6.34/6.53 (define @t1309 () (@list @t1308)) % 6.34/6.53 (define @t1310 () (@list @t819 @t325)) % 6.34/6.53 (define @t1311 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t322 @t558)) % 6.34/6.53 (define @t1312 () (not (= @t1311 @t636))) % 6.34/6.53 (define @t1313 () (tptp.hAPP @t713 @t558)) % 6.34/6.53 (define @t1314 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t322 @t1313)) % 6.34/6.53 (define @t1315 () (@list @t558 @t322)) % 6.34/6.53 (define @t1316 () (= @t1292 @t278)) % 6.34/6.53 (define @t1317 () (tptp.hBOOL (tptp.hAPP @t1129 @t278))) % 6.34/6.53 (define @t1318 () (tptp.hAPP @t897 @t278)) % 6.34/6.53 (define @t1319 () (tptp.hBOOL (tptp.hAPP @t1318 @t636))) % 6.34/6.53 (define @t1320 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1292) @t636))) % 6.34/6.53 (define @t1321 () (tptp.hAPP @t629 @t278)) % 6.34/6.53 (define @t1322 () (tptp.hBOOL (tptp.hAPP @t1321 @t389))) % 6.34/6.53 (define @t1323 () (tptp.hBOOL (tptp.hAPP @t898 @t278))) % 6.34/6.53 (define @t1324 () (tptp.hBOOL (tptp.hAPP @t898 @t1292))) % 6.34/6.53 (define @t1325 () (tptp.hAPP @t626 @t278)) % 6.34/6.53 (define @t1326 () (tptp.hAPP @t1325 @t389)) % 6.34/6.53 (define @t1327 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1326) @t636))) % 6.34/6.53 (define @t1328 () (tptp.hBOOL (tptp.hAPP @t27 @t590))) % 6.34/6.53 (define @t1329 () (tptp.hAPP @t710 @t327)) % 6.34/6.53 (define @t1330 () (= @t23 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1329 @t1238)) @t590))) % 6.34/6.53 (define @t1331 () (tptp.hAPP @t629 @t327)) % 6.34/6.53 (define @t1332 () (and (tptp.hBOOL (tptp.hAPP @t1331 @t590)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t590) @t636)) @t1330)) % 6.34/6.53 (define @t1333 () (@list @t1238 @t590)) % 6.34/6.53 (define @t1334 () (tptp.hAPP @t1331 @t636)) % 6.34/6.53 (define @t1335 () (tptp.hBOOL @t1334)) % 6.34/6.53 (define @t1336 () (and (tptp.hBOOL (tptp.hAPP @t898 @t590)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t590) @t327)) @t1330)) % 6.34/6.53 (define @t1337 () (tptp.hBOOL (tptp.hAPP @t637 @t327))) % 6.34/6.53 (define @t1338 () (= @t327 @t636)) % 6.34/6.53 (define @t1339 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t327)) % 6.34/6.53 (define @t1340 () (@list @t327 @t23 @t27)) % 6.34/6.53 (define @t1341 () (@list @t1105 @t389 @t876 @t111)) % 6.34/6.53 (define @t1342 () (tptp.c_SMT_Oz3mod @t322 @t558)) % 6.34/6.53 (define @t1343 () (tptp.hBOOL (tptp.hAPP @t898 @t558))) % 6.34/6.53 (define @t1344 () (not @t1343)) % 6.34/6.53 (define @t1345 () (@list @t322 @t558)) % 6.34/6.53 (define @t1346 () (tptp.hBOOL (tptp.hAPP @t1239 @t590))) % 6.34/6.53 (define @t1347 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 6.34/6.53 (define @t1348 () (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t1347 @t23) @t327))) % 6.34/6.53 (define @t1349 () (tptp.hBOOL (tptp.hAPP @t1348 @t1339))) % 6.34/6.53 (define @t1350 () (@list @t23 @t27 @t327)) % 6.34/6.53 (define @t1351 () (tptp.hAPP @t1347 @t278)) % 6.34/6.53 (define @t1352 () (tptp.hAPP @t1351 @t389)) % 6.34/6.53 (define @t1353 () (@list @t389 @t278 @t111)) % 6.34/6.53 (define @t1354 () (tptp.c_Nat__Transfer_Otsub @t136 @t135)) % 6.34/6.53 (define @t1355 () (tptp.hBOOL (tptp.hAPP @t27 @t636))) % 6.34/6.53 (define @t1356 () (@var "V_r_1" $$unsorted)) % 6.34/6.53 (define @t1357 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t1358 () (tptp.hAPP (tptp.hAPP @t1357 @t325) @t23)) % 6.34/6.53 (define @t1359 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t389 @t111)) % 6.34/6.53 (define @t1360 () (tptp.hAPP (tptp.hAPP @t1357 @t389) @t111)) % 6.34/6.53 (define @t1361 () (tptp.hAPP @t1357 @t278)) % 6.34/6.53 (define @t1362 () (tptp.hAPP (tptp.hAPP @t301 @t278) @t389)) % 6.34/6.53 (define @t1363 () (tptp.hAPP @t623 @t389)) % 6.34/6.53 (define @t1364 () (tptp.hAPP @t623 @t278)) % 6.34/6.53 (define @t1365 () (tptp.hAPP @t1361 @t389)) % 6.34/6.53 (define @t1366 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t278 @t389)) % 6.34/6.53 (define @t1367 () (tptp.hAPP @t780 @t389)) % 6.34/6.53 (define @t1368 () (tptp.hAPP @t1367 @t111)) % 6.34/6.53 (define @t1369 () (tptp.hAPP @t780 @t278)) % 6.34/6.53 (define @t1370 () (tptp.hAPP @t1369 @t389)) % 6.34/6.53 (define @t1371 () (tptp.hAPP @t1357 @t10)) % 6.34/6.53 (define @t1372 () (tptp.hAPP @t1357 @t264)) % 6.34/6.53 (define @t1373 () (tptp.hAPP @t1372 @t10)) % 6.34/6.53 (define @t1374 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t264 @t10)) % 6.34/6.53 (define @t1375 () (tptp.hAPP tptp.c_Nat_OSuc @t1374)) % 6.34/6.53 (define @t1376 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t265 @t10)) % 6.34/6.53 (define @t1377 () (=> @t492 (= @t1374 @t264))) % 6.34/6.53 (define @t1378 () (tptp.hAPP @t934 @t1374)) % 6.34/6.53 (define @t1379 () (tptp.hAPP @t1347 @t1294)) % 6.34/6.53 (define @t1380 () (tptp.hAPP @t1379 @t389)) % 6.34/6.53 (define @t1381 () (tptp.hAPP @t1351 @t1293)) % 6.34/6.53 (define @t1382 () (tptp.c_Divides_Odiv__class_Odiv @t35)) % 6.34/6.53 (define @t1383 () (tptp.hAPP @t1382 @t278)) % 6.34/6.53 (define @t1384 () (tptp.hAPP (tptp.hAPP @t1357 @t908) @t907)) % 6.34/6.53 (define @t1385 () (tptp.hAPP @t1347 @t136)) % 6.34/6.53 (define @t1386 () (tptp.hAPP @t1385 @t135)) % 6.34/6.53 (define @t1387 () (tptp.hAPP tptp.c_Int_Onat @t1386)) % 6.34/6.53 (define @t1388 () (=> @t492 (= @t1373 @t214))) % 6.34/6.53 (define @t1389 () (tptp.hAPP (tptp.hAPP @t1357 @t986) @t985)) % 6.34/6.53 (define @t1390 () (= @t1389 @t1373)) % 6.34/6.53 (define @t1391 () (= @t322 @t214)) % 6.34/6.53 (define @t1392 () (= @t1375 @t10)) % 6.34/6.53 (define @t1393 () (tptp.hAPP @t629 @t140)) % 6.34/6.53 (define @t1394 () (tptp.hAPP @t1347 @t140)) % 6.34/6.53 (define @t1395 () (tptp.hAPP @t1394 @t64)) % 6.34/6.53 (define @t1396 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1395) @t636))) % 6.34/6.53 (define @t1397 () (tptp.hAPP @t637 @t64)) % 6.34/6.53 (define @t1398 () (tptp.hBOOL @t1397)) % 6.34/6.53 (define @t1399 () (@list @t140 @t64)) % 6.34/6.53 (define @t1400 () (tptp.hAPP @t629 @t64)) % 6.34/6.53 (define @t1401 () (tptp.hBOOL (tptp.hAPP @t1400 @t636))) % 6.34/6.53 (define @t1402 () (tptp.hBOOL (tptp.hAPP @t1321 @t636))) % 6.34/6.53 (define @t1403 () (= @t278 @t636)) % 6.34/6.53 (define @t1404 () (not @t1403)) % 6.34/6.53 (define @t1405 () (tptp.hAPP (tptp.hAPP @t301 @t985) @t264)) % 6.34/6.53 (define @t1406 () (@list @t264 @t10 @t322)) % 6.34/6.53 (define @t1407 () (tptp.hAPP @t1347 @t389)) % 6.34/6.53 (define @t1408 () (tptp.hAPP @t1407 @t111)) % 6.34/6.53 (define @t1409 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t136 @t135)) % 6.34/6.53 (define @t1410 () (tptp.hAPP @t1383 @t389)) % 6.34/6.53 (define @t1411 () (tptp.hAPP (tptp.hAPP @t1382 @t844) @t843)) % 6.34/6.53 (define @t1412 () (= @t111 @t364)) % 6.34/6.53 (define @t1413 () (not @t1412)) % 6.34/6.53 (define @t1414 () (=> @t1413 (= @t1411 @t1410))) % 6.34/6.53 (define @t1415 () (tptp.hAPP @t1382 @t737)) % 6.34/6.53 (define @t1416 () (tptp.hAPP @t1357 @t322)) % 6.34/6.53 (define @t1417 () (tptp.hBOOL (tptp.hAPP @t475 @t264))) % 6.34/6.53 (define @t1418 () (tptp.hAPP @t474 @t933)) % 6.34/6.53 (define @t1419 () (tptp.hBOOL (tptp.hAPP @t1418 @t10))) % 6.34/6.53 (define @t1420 () (tptp.hAPP (tptp.hAPP @t1347 @t178) @t327)) % 6.34/6.53 (define @t1421 () (@list @t327 @t178)) % 6.34/6.53 (define @t1422 () (tptp.hBOOL (tptp.hAPP @t898 @t140))) % 6.34/6.53 (define @t1423 () (tptp.hBOOL (tptp.hAPP @t898 @t1395))) % 6.34/6.53 (define @t1424 () (tptp.hAPP @t897 @t327)) % 6.34/6.53 (define @t1425 () (tptp.hAPP @t897 @t64)) % 6.34/6.53 (define @t1426 () (@list @t64 @t140)) % 6.34/6.53 (define @t1427 () (tptp.hAPP @t1351 @t608)) % 6.34/6.53 (define @t1428 () (tptp.hAPP @t897 @t1352)) % 6.34/6.53 (define @t1429 () (@list @t389 @t608 @t278)) % 6.34/6.53 (define @t1430 () (tptp.hBOOL (tptp.hAPP @t1428 @t636))) % 6.34/6.53 (define @t1431 () (= @t1352 @t636)) % 6.34/6.53 (define @t1432 () (tptp.hAPP (tptp.hAPP @t1347 @t441) @t389)) % 6.34/6.53 (define @t1433 () (tptp.hBOOL (tptp.hAPP @t1318 @t441))) % 6.34/6.53 (define @t1434 () (@list @t389 @t441 @t278)) % 6.34/6.53 (define @t1435 () (tptp.hAPP @t1325 @t322)) % 6.34/6.53 (define @t1436 () (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1124 @t1352)) @t1292)) % 6.34/6.53 (define @t1437 () (tptp.hAPP @t381 @t1410)) % 6.34/6.53 (define @t1438 () (tptp.hAPP (tptp.hAPP @t365 @t1410) @t929)) % 6.34/6.53 (define @t1439 () (tptp.hAPP (tptp.hAPP @t730 @t1410) @t389)) % 6.34/6.53 (define @t1440 () (tptp.hAPP (tptp.hAPP @t365 @t1439) @t1268)) % 6.34/6.53 (define @t1441 () (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t734 @t1410)) @t1268)) % 6.34/6.53 (define @t1442 () (= @t23 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t969 @t1238)) @t590))) % 6.34/6.53 (define @t1443 () (tptp.hBOOL (tptp.hAPP @t591 @t327))) % 6.34/6.53 (define @t1444 () (not @t963)) % 6.34/6.53 (define @t1445 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t1367 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1105 @t111))) @t876)) % 6.34/6.53 (define @t1446 () (tptp.hBOOL (tptp.hAPP @t475 @t111))) % 6.34/6.53 (define @t1447 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t908 @t907)) % 6.34/6.53 (define @t1448 () (tptp.hAPP tptp.c_Int_Onat @t1302)) % 6.34/6.53 (define @t1449 () (@var "V_q_2" $$unsorted)) % 6.34/6.53 (define @t1450 () (tptp.hAPP @t1347 @t322)) % 6.34/6.53 (define @t1451 () (tptp.c_SMT_Oz3div @t322 @t558)) % 6.34/6.53 (define @t1452 () (tptp.hAPP @t1450 @t558)) % 6.34/6.53 (define @t1453 () (tptp.hAPP @t713 @t1352)) % 6.34/6.53 (define @t1454 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 6.34/6.53 (define @t1455 () (tptp.hAPP (tptp.hAPP @t1454 @t1453) @t901)) % 6.34/6.53 (define @t1456 () (= @t1292 @t636)) % 6.34/6.53 (define @t1457 () (not @t1456)) % 6.34/6.53 (define @t1458 () (not (= @t389 @t636))) % 6.34/6.53 (define @t1459 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t1460 () (tptp.hAPP @t1459 @t264)) % 6.34/6.53 (define @t1461 () (tptp.hAPP @t1460 @t10)) % 6.34/6.53 (define @t1462 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1357 @t1461) @t10))) % 6.34/6.53 (define @t1463 () (= @t1373 @t1462)) % 6.34/6.53 (define @t1464 () (tptp.hAPP @t1329 @t819)) % 6.34/6.53 (define @t1465 () (tptp.hAPP @t626 @t4)) % 6.34/6.53 (define @t1466 () (tptp.hAPP @t898 @t327)) % 6.34/6.53 (define @t1467 () (tptp.hBOOL @t1466)) % 6.34/6.53 (define @t1468 () (tptp.hBOOL (tptp.hAPP @t637 @t819))) % 6.34/6.53 (define @t1469 () (@list @t327 @t27 @t819)) % 6.34/6.53 (define @t1470 () (@var "B_z" $$unsorted)) % 6.34/6.53 (define @t1471 () (@list @t1470)) % 6.34/6.53 (define @t1472 () (tptp.class_Fields_Olinordered__field__inverse__zero @t35)) % 6.34/6.53 (define @t1473 () (@var "V_B_2" $$unsorted)) % 6.34/6.53 (define @t1474 () (tptp.hAPP @t1473 @t378)) % 6.34/6.53 (define @t1475 () (tptp.c_Groups_Ominus__class_Ominus @t30)) % 6.34/6.53 (define @t1476 () (tptp.c_Groups_Ominus__class_Ominus @t35)) % 6.34/6.53 (define @t1477 () (tptp.hAPP (tptp.hAPP @t1475 @t140) @t64)) % 6.34/6.53 (define @t1478 () (= @t1477 (tptp.hAPP (tptp.hAPP @t1475 @t25) @t819))) % 6.34/6.53 (define @t1479 () (tptp.class_Groups_Oab__group__add @t30)) % 6.34/6.53 (define @t1480 () (tptp.hAPP @t1459 @t544)) % 6.34/6.53 (define @t1481 () (tptp.hAPP @t1480 @t546)) % 6.34/6.53 (define @t1482 () (tptp.hAPP (tptp.hAPP @t1459 @t1481) @t322)) % 6.34/6.53 (define @t1483 () (tptp.hAPP @t937 @t25)) % 6.34/6.53 (define @t1484 () (tptp.hBOOL (tptp.hAPP @t1483 @t819))) % 6.34/6.53 (define @t1485 () (= @t1477 @t352)) % 6.34/6.53 (define @t1486 () (tptp.hAPP @t1476 @t278)) % 6.34/6.53 (define @t1487 () (tptp.hBOOL (tptp.hAPP @t861 @t819))) % 6.34/6.53 (define @t1488 () (tptp.hAPP @t1476 @t392)) % 6.34/6.53 (define @t1489 () (tptp.hAPP @t1486 @t389)) % 6.34/6.53 (define @t1490 () (tptp.hAPP @t1476 @t389)) % 6.34/6.53 (define @t1491 () (tptp.hAPP @t1490 @t278)) % 6.34/6.53 (define @t1492 () (tptp.c_Divides_Odiv__class_Omod @t35 @t1489 @t111)) % 6.34/6.53 (define @t1493 () (tptp.hAPP @t1476 @t1273)) % 6.34/6.53 (define @t1494 () (tptp.hAPP @t1459 @t10)) % 6.34/6.53 (define @t1495 () (tptp.hAPP @t1494 @t264)) % 6.34/6.53 (define @t1496 () (= @t1461 @t214)) % 6.34/6.53 (define @t1497 () (tptp.hAPP @t1459 @t265)) % 6.34/6.53 (define @t1498 () (tptp.hAPP @t1497 @t10)) % 6.34/6.53 (define @t1499 () (tptp.hAPP @t1459 @t546)) % 6.34/6.53 (define @t1500 () (tptp.hAPP @t1459 @t558)) % 6.34/6.53 (define @t1501 () (tptp.hAPP @t1500 @t264)) % 6.34/6.53 (define @t1502 () (tptp.hAPP @t1500 @t10)) % 6.34/6.53 (define @t1503 () (@list @t558 @t10 @t264)) % 6.34/6.53 (define @t1504 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1461 @t10)) % 6.34/6.53 (define @t1505 () (= @t1374 @t1504)) % 6.34/6.53 (define @t1506 () (=> @t552 @t1505)) % 6.34/6.53 (define @t1507 () (tptp.hAPP @t1459 @t313)) % 6.34/6.53 (define @t1508 () (tptp.hAPP @t556 @t264)) % 6.34/6.53 (define @t1509 () (tptp.hAPP @t1459 @t1161)) % 6.34/6.53 (define @t1510 () (tptp.hAPP @t1459 @t23)) % 6.34/6.53 (define @t1511 () (tptp.hAPP @t1510 @t327)) % 6.34/6.53 (define @t1512 () (tptp.hAPP @t1459 @t325)) % 6.34/6.53 (define @t1513 () (tptp.hAPP @t1512 @t327)) % 6.34/6.53 (define @t1514 () (tptp.hAPP @t934 @t327)) % 6.34/6.53 (define @t1515 () (tptp.hBOOL (tptp.hAPP @t1514 @t23))) % 6.34/6.53 (define @t1516 () (tptp.hBOOL (tptp.hAPP @t1514 @t325))) % 6.34/6.53 (define @t1517 () (tptp.hAPP @t1494 @t544)) % 6.34/6.53 (define @t1518 () (tptp.hAPP (tptp.hAPP @t1454 @t690) @t689)) % 6.34/6.53 (define @t1519 () (tptp.hAPP @t1454 @t136)) % 6.34/6.53 (define @t1520 () (tptp.hAPP @t1519 @t135)) % 6.34/6.53 (define @t1521 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1520 @t264)) % 6.34/6.53 (define @t1522 () (@list @t135 @t264 @t136)) % 6.34/6.53 (define @t1523 () (tptp.hAPP @t1454 @t317)) % 6.34/6.53 (define @t1524 () (tptp.hAPP @t934 @t696)) % 6.34/6.53 (define @t1525 () (tptp.hAPP @t1459 @t378)) % 6.34/6.53 (define @t1526 () (tptp.hAPP @t1525 @t696)) % 6.34/6.53 (define @t1527 () (@var "V_e_2" $$unsorted)) % 6.34/6.53 (define @t1528 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP (tptp.hAPP @t776 @t1477) @t1527)) @t25)) % 6.34/6.53 (define @t1529 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t777 @t1527)) @t819)) % 6.34/6.53 (define @t1530 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t778 @t1527)) @t25)) % 6.34/6.53 (define @t1531 () (= @t1530 @t1529)) % 6.34/6.53 (define @t1532 () (tptp.class_Rings_Oring @t30)) % 6.34/6.53 (define @t1533 () (@list @t819 @t64 @t25 @t1527 @t140 @t30)) % 6.34/6.53 (define @t1534 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t1475 @t64) @t140)) @t1527)) @t819)) % 6.34/6.53 (define @t1535 () (= @t1489 (tptp.hAPP @t366 @t770))) % 6.34/6.53 (define @t1536 () (tptp.hAPP @t365 @t136)) % 6.34/6.53 (define @t1537 () (tptp.hAPP @t1476 @t136)) % 6.34/6.53 (define @t1538 () (tptp.hAPP @t1537 @t135)) % 6.34/6.53 (define @t1539 () (@var "V_l_2" $$unsorted)) % 6.34/6.53 (define @t1540 () (tptp.hBOOL (tptp.hAPP @t1331 @t1539))) % 6.34/6.53 (define @t1541 () (@list @t1539 @t327)) % 6.34/6.53 (define @t1542 () (tptp.hAPP @t1510 @t325)) % 6.34/6.53 (define @t1543 () (tptp.hAPP @t474 @t1461)) % 6.34/6.53 (define @t1544 () (tptp.hAPP @t1512 @t23)) % 6.34/6.53 (define @t1545 () (@var "V_j_2" $$unsorted)) % 6.34/6.53 (define @t1546 () (tptp.hAPP @t301 @t178)) % 6.34/6.53 (define @t1547 () (tptp.hAPP @t1546 @t327)) % 6.34/6.53 (define @t1548 () (tptp.hAPP @t1459 @t1545)) % 6.34/6.53 (define @t1549 () (tptp.hAPP @t1548 @t327)) % 6.34/6.53 (define @t1550 () (tptp.hAPP @t474 @t178)) % 6.34/6.53 (define @t1551 () (@list @t327 @t1545 @t178)) % 6.34/6.53 (define @t1552 () (= (tptp.hAPP @t312 @t1461) @t264)) % 6.34/6.53 (define @t1553 () (tptp.hAPP @t1499 @t322)) % 6.34/6.53 (define @t1554 () (tptp.hBOOL (tptp.hAPP @t1158 @t546))) % 6.34/6.53 (define @t1555 () (@list @t544 @t546 @t322)) % 6.34/6.53 (define @t1556 () (tptp.hAPP @t934 @t1545)) % 6.34/6.53 (define @t1557 () (tptp.hAPP (tptp.hAPP @t1459 @t554) @t322)) % 6.34/6.53 (define @t1558 () (tptp.hAPP @t553 @t1553)) % 6.34/6.53 (define @t1559 () (tptp.hAPP @t934 @t178)) % 6.34/6.53 (define @t1560 () (tptp.hAPP @t1548 @t178)) % 6.34/6.53 (define @t1561 () (tptp.hBOOL (tptp.hAPP @t1559 @t1545))) % 6.34/6.53 (define @t1562 () (tptp.hAPP (tptp.hAPP @t1459 @t570) @t322)) % 6.34/6.53 (define @t1563 () (tptp.hAPP (tptp.hAPP @t301 @t1553) @t544)) % 6.34/6.53 (define @t1564 () (tptp.hAPP @t679 @t831)) % 6.34/6.53 (define @t1565 () (tptp.hAPP @t1523 @t681)) % 6.34/6.53 (define @t1566 () (tptp.hAPP @t1460 @t933)) % 6.34/6.53 (define @t1567 () (tptp.hAPP @t1460 @t1374)) % 6.34/6.53 (define @t1568 () (tptp.hAPP (tptp.hAPP @t780 @t1373) @t10)) % 6.34/6.53 (define @t1569 () (tptp.hBOOL (tptp.hAPP @t1258 @t136))) % 6.34/6.53 (define @t1570 () (=> @t1569 (= @t1354 @t1520))) % 6.34/6.53 (define @t1571 () (@list @t136 @t135)) % 6.34/6.53 (define @t1572 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1530) @t1529))) % 6.34/6.53 (define @t1573 () (tptp.class_Rings_Oordered__ring @t30)) % 6.34/6.53 (define @t1574 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1530) @t1529))) % 6.34/6.53 (define @t1575 () (@var "B_d" $$unsorted)) % 6.34/6.53 (define @t1576 () (tptp.hBOOL (tptp.hAPP @t27 @t1575))) % 6.34/6.53 (define @t1577 () (= @t140 (tptp.hAPP (tptp.hAPP @t301 @t64) @t1575))) % 6.34/6.53 (define @t1578 () (@list @t1575)) % 6.34/6.53 (define @t1579 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t140) @t64))) % 6.34/6.53 (define @t1580 () (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t1459 @t140) @t64)))) % 6.34/6.53 (define @t1581 () (@list @t64 @t140 @t27)) % 6.34/6.53 (define @t1582 () (tptp.hAPP @t1454 @t628)) % 6.34/6.53 (define @t1583 () (tptp.hAPP tptp.c_Nat_OSuc @t546)) % 6.34/6.53 (define @t1584 () (tptp.hAPP tptp.c_Nat_OSuc @t1553)) % 6.34/6.53 (define @t1585 () (@list @t264 @t546 @t322)) % 6.34/6.53 (define @t1586 () (@var "V_u_2" $$unsorted)) % 6.34/6.53 (define @t1587 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 (tptp.hAPP (tptp.hAPP @t1459 @t178) @t1545)) @t1586)) @t325)) % 6.34/6.53 (define @t1588 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t1545) @t1586)) @t23)) % 6.34/6.53 (define @t1589 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t178) @t1586)) @t325)) % 6.34/6.53 (define @t1590 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1589) @t1588))) % 6.34/6.53 (define @t1591 () (tptp.hBOOL (tptp.hAPP @t1556 @t178))) % 6.34/6.53 (define @t1592 () (@list @t23 @t325 @t1586 @t178 @t1545)) % 6.34/6.53 (define @t1593 () (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP @t1182 @t264)) (tptp.hAPP @t1181 @t10))) % 6.34/6.53 (define @t1594 () (tptp.hBOOL (tptp.hAPP @t1144 @t544))) % 6.34/6.53 (define @t1595 () (= @t1589 @t1588)) % 6.34/6.53 (define @t1596 () (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t1560) @t1586)) @t23)) % 6.34/6.53 (define @t1597 () (@list @t23 @t325 @t1586 @t1545 @t178)) % 6.34/6.53 (define @t1598 () (tptp.hAPP @t1499 @t544)) % 6.34/6.53 (define @t1599 () (tptp.hAPP @t1454 @t389)) % 6.34/6.53 (define @t1600 () (tptp.hAPP (tptp.hAPP @t1347 @t264) @t10)) % 6.34/6.53 (define @t1601 () (tptp.hAPP @t1454 @t264)) % 6.34/6.53 (define @t1602 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t264 @t10)) % 6.34/6.53 (define @t1603 () (tptp.hAPP (tptp.hAPP @t710 @t10) @t1600)) % 6.34/6.53 (define @t1604 () (tptp.hAPP @t1494 @t933)) % 6.34/6.53 (define @t1605 () (tptp.hAPP tptp.c_Nat_OSuc @t1604)) % 6.34/6.53 (define @t1606 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1589) @t1588))) % 6.34/6.53 (define @t1607 () (not @t1174)) % 6.34/6.53 (define @t1608 () (=> @t552 @t1463)) % 6.34/6.53 (define @t1609 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 6.34/6.53 (define @t1610 () (tptp.hAPP @t1609 @t322)) % 6.34/6.53 (define @t1611 () (tptp.hAPP @t1454 @t4)) % 6.34/6.53 (define @t1612 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 6.34/6.53 (define @t1613 () (tptp.hAPP (tptp.hAPP @t710 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1612 (tptp.hAPP @t1519 @t317))) @t901)) @t384)) % 6.34/6.53 (define @t1614 () (tptp.hBOOL (tptp.hAPP @t637 @t384))) % 6.34/6.53 (define @t1615 () (@var "V_p_2" $$unsorted)) % 6.34/6.53 (define @t1616 () (tptp.hAPP tptp.c_Nat_OSuc @t1238)) % 6.34/6.53 (define @t1617 () (tptp.hAPP @t474 @t1238)) % 6.34/6.53 (define @t1618 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t1619 () (tptp.hAPP @t1618 @t990)) % 6.34/6.53 (define @t1620 () (tptp.hAPP (tptp.hAPP @t1459 @t1619) @t933)) % 6.34/6.53 (define @t1621 () (@list @t990)) % 6.34/6.53 (define @t1622 () (tptp.c_Int_Onumber__class_Onumber__of @t30)) % 6.34/6.53 (define @t1623 () (tptp.hAPP @t1622 @t696)) % 6.34/6.53 (define @t1624 () (tptp.hAPP @t1622 @t378)) % 6.34/6.53 (define @t1625 () (= @t1624 @t1623)) % 6.34/6.53 (define @t1626 () (tptp.class_Int_Onumber__ring @t30)) % 6.34/6.53 (define @t1627 () (and @t1626 @t757)) % 6.34/6.53 (define @t1628 () (tptp.hAPP @t1622 @t625)) % 6.34/6.53 (define @t1629 () (tptp.class_Int_Onumber @t30)) % 6.34/6.53 (define @t1630 () (tptp.c_Groups_Oabs__class_Oabs @t35)) % 6.34/6.53 (define @t1631 () (tptp.hAPP @t1630 @t278)) % 6.34/6.53 (define @t1632 () (tptp.class_Groups_Oordered__ab__group__add__abs @t35)) % 6.34/6.53 (define @t1633 () (tptp.c_Int_Onumber__class_Onumber__of @t35)) % 6.34/6.53 (define @t1634 () (tptp.hAPP @t1633 @t990)) % 6.34/6.53 (define @t1635 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 6.34/6.53 (define @t1636 () (tptp.hAPP @t1635 @t990)) % 6.34/6.53 (define @t1637 () (tptp.class_Int_Onumber__ring @t35)) % 6.34/6.53 (define @t1638 () (@list @t990 @t35)) % 6.34/6.53 (define @t1639 () (tptp.c_Power_Opower__class_Opower @t35)) % 6.34/6.53 (define @t1640 () (tptp.hAPP (tptp.hAPP @t1609 @t317) @t10)) % 6.34/6.53 (define @t1641 () (tptp.hAPP @t1612 @t136)) % 6.34/6.53 (define @t1642 () (@list @t10 @t136)) % 6.34/6.53 (define @t1643 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1631) @t389))) % 6.34/6.53 (define @t1644 () (tptp.c_Groups_Oabs__class_Oabs @t30)) % 6.34/6.53 (define @t1645 () (tptp.hAPP @t1644 @t140)) % 6.34/6.53 (define @t1646 () (tptp.class_Groups_Oordered__ab__group__add__abs @t30)) % 6.34/6.53 (define @t1647 () (tptp.hAPP @t1630 @t389)) % 6.34/6.53 (define @t1648 () (tptp.hAPP (tptp.hAPP @t365 @t1631) @t1647)) % 6.34/6.53 (define @t1649 () (tptp.hAPP @t730 @t1631)) % 6.34/6.53 (define @t1650 () (tptp.hAPP @t1649 @t1647)) % 6.34/6.53 (define @t1651 () (= (tptp.hAPP @t1630 @t737) @t1650)) % 6.34/6.53 (define @t1652 () (tptp.hAPP @t1630 @t1491)) % 6.34/6.53 (define @t1653 () (tptp.hAPP @t1630 @t1489)) % 6.34/6.53 (define @t1654 () (tptp.hAPP @t1639 @t135)) % 6.34/6.53 (define @t1655 () (tptp.hAPP @t1639 @t136)) % 6.34/6.53 (define @t1656 () (tptp.hAPP @t1655 @t1105)) % 6.34/6.53 (define @t1657 () (tptp.hAPP @t730 @t1656)) % 6.34/6.53 (define @t1658 () (@var "V_p" $$unsorted)) % 6.34/6.53 (define @t1659 () (tptp.hAPP @t780 @t1658)) % 6.34/6.53 (define @t1660 () (tptp.hAPP @t1655 @t1658)) % 6.34/6.53 (define @t1661 () (@list @t1105 @t1658 @t136 @t35)) % 6.34/6.53 (define @t1662 () (tptp.hAPP @t1609 @t136)) % 6.34/6.53 (define @t1663 () (tptp.hAPP @t1662 @t135)) % 6.34/6.53 (define @t1664 () (tptp.hAPP @t643 @t1619)) % 6.34/6.53 (define @t1665 () (= @t1664 @t364)) % 6.34/6.53 (define @t1666 () (tptp.hBOOL (tptp.hAPP @t898 @t1636))) % 6.34/6.53 (define @t1667 () (= @t1664 @t1634)) % 6.34/6.53 (define @t1668 () (tptp.hAPP @t1633 @t322)) % 6.34/6.53 (define @t1669 () (tptp.hAPP @t1633 @t136)) % 6.34/6.53 (define @t1670 () (tptp.hAPP @t1630 @t1669)) % 6.34/6.53 (define @t1671 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1669) @t364))) % 6.34/6.53 (define @t1672 () (and @t1637 @t657)) % 6.34/6.53 (define @t1673 () (tptp.hAPP @t1612 @t378)) % 6.34/6.53 (define @t1674 () (@list @t23 @t378)) % 6.34/6.53 (define @t1675 () (= @t1631 @t278)) % 6.34/6.53 (define @t1676 () (tptp.hAPP @t937 @t1645)) % 6.34/6.53 (define @t1677 () (tptp.hAPP @t515 @t1631)) % 6.34/6.53 (define @t1678 () (not @t353)) % 6.34/6.53 (define @t1679 () (@list @t384 @t389 @t111 @t278 @t35)) % 6.34/6.53 (define @t1680 () (tptp.hAPP (tptp.hAPP @t1476 @t1631) @t1647)) % 6.34/6.53 (define @t1681 () (tptp.hAPP @t930 @t1680)) % 6.34/6.53 (define @t1682 () (tptp.hAPP @t930 @t722)) % 6.34/6.53 (define @t1683 () (tptp.hBOOL (tptp.hAPP @t1682 @t389))) % 6.34/6.53 (define @t1684 () (@var "V_v_2" $$unsorted)) % 6.34/6.53 (define @t1685 () (tptp.hAPP @t1622 @t1684)) % 6.34/6.53 (define @t1686 () (tptp.hAPP @t507 @t1628)) % 6.34/6.53 (define @t1687 () (@list @t625 @t1684 @t30)) % 6.34/6.53 (define @t1688 () (tptp.hAPP @t1622 @t990)) % 6.34/6.53 (define @t1689 () (tptp.hAPP (tptp.hAPP @t776 @t389) @t1688)) % 6.34/6.53 (define @t1690 () (tptp.hAPP (tptp.hAPP @t776 @t278) @t1688)) % 6.34/6.53 (define @t1691 () (and @t1629 (tptp.class_Rings_Osemiring @t30))) % 6.34/6.53 (define @t1692 () (@list @t990 @t389 @t278 @t30)) % 6.34/6.53 (define @t1693 () (tptp.hAPP @t776 @t1688)) % 6.34/6.53 (define @t1694 () (tptp.hAPP @t1693 @t111)) % 6.34/6.53 (define @t1695 () (tptp.hAPP @t1693 @t389)) % 6.34/6.53 (define @t1696 () (@list @t111 @t389 @t990 @t30)) % 6.34/6.53 (define @t1697 () (tptp.hAPP @t825 @t1656)) % 6.34/6.53 (define @t1698 () (tptp.hAPP @t1655 (tptp.hAPP tptp.c_Nat_OSuc @t1105))) % 6.34/6.53 (define @t1699 () (@list @t1105 @t136 @t35)) % 6.34/6.53 (define @t1700 () (and @t1629 @t1532)) % 6.34/6.53 (define @t1701 () (tptp.hAPP @t937 @t1624)) % 6.34/6.53 (define @t1702 () (and @t1626 @t587)) % 6.34/6.53 (define @t1703 () (tptp.hAPP @t507 @t1624)) % 6.34/6.53 (define @t1704 () (tptp.hAPP @t1633 @t681)) % 6.34/6.53 (define @t1705 () (tptp.hAPP @t365 @t1634)) % 6.34/6.53 (define @t1706 () (tptp.hAPP @t1705 @t1704)) % 6.34/6.53 (define @t1707 () (tptp.hAPP @t626 @t990)) % 6.34/6.53 (define @t1708 () (tptp.hAPP @t1707 @t681)) % 6.34/6.53 (define @t1709 () (tptp.hAPP @t1633 @t1708)) % 6.34/6.53 (define @t1710 () (@list @t681 @t990 @t35)) % 6.34/6.53 (define @t1711 () (@list @t317 @t681 @t990 @t35)) % 6.34/6.53 (define @t1712 () (tptp.hAPP @t1662 @t10)) % 6.34/6.53 (define @t1713 () (tptp.hAPP @t710 @t990)) % 6.34/6.53 (define @t1714 () (tptp.hAPP @t1713 @t681)) % 6.34/6.53 (define @t1715 () (tptp.hAPP @t1633 @t1714)) % 6.34/6.53 (define @t1716 () (tptp.hAPP @t730 @t1634)) % 6.34/6.53 (define @t1717 () (tptp.hAPP @t1716 @t1704)) % 6.34/6.53 (define @t1718 () (tptp.hAPP (tptp.hAPP @t710 @t264) @t10)) % 6.34/6.53 (define @t1719 () (tptp.hAPP @t1476 @t1634)) % 6.34/6.53 (define @t1720 () (tptp.hAPP @t1719 @t1704)) % 6.34/6.53 (define @t1721 () (tptp.hAPP @t721 @t1704)) % 6.34/6.53 (define @t1722 () (tptp.hAPP @t1633 @t831)) % 6.34/6.53 (define @t1723 () (@list @t681 @t35)) % 6.34/6.53 (define @t1724 () (tptp.hAPP @t1630 @t322)) % 6.34/6.53 (define @t1725 () (tptp.hAPP @t1630 @t136)) % 6.34/6.53 (define @t1726 () (= @t1631 @t722)) % 6.34/6.53 (define @t1727 () (=> @t577 @t1726)) % 6.34/6.53 (define @t1728 () (tptp.hAPP @t1612 @t628)) % 6.34/6.53 (define @t1729 () (tptp.hAPP @t1612 @t544)) % 6.34/6.53 (define @t1730 () (tptp.hBOOL (tptp.hAPP @t677 @t636))) % 6.34/6.53 (define @t1731 () (tptp.hAPP @t1707 @t831)) % 6.34/6.53 (define @t1732 () (tptp.hAPP @t1633 @t1731)) % 6.34/6.53 (define @t1733 () (tptp.hAPP @t1639 @t389)) % 6.34/6.53 (define @t1734 () (tptp.hAPP @t1733 @t10)) % 6.34/6.53 (define @t1735 () (tptp.hAPP @t1639 @t278)) % 6.34/6.53 (define @t1736 () (tptp.hAPP @t1735 @t10)) % 6.34/6.53 (define @t1737 () (tptp.hAPP @t515 @t1736)) % 6.34/6.53 (define @t1738 () (tptp.hBOOL (tptp.hAPP @t1737 @t1734))) % 6.34/6.53 (define @t1739 () (@list @t10 @t389 @t278 @t35)) % 6.34/6.53 (define @t1740 () (tptp.hBOOL (tptp.hAPP @t1005 @t278))) % 6.34/6.53 (define @t1741 () (@list @t10 @t278 @t35)) % 6.34/6.53 (define @t1742 () (tptp.hAPP @t1735 @t264)) % 6.34/6.53 (define @t1743 () (@list @t10 @t264 @t278 @t35)) % 6.34/6.53 (define @t1744 () (tptp.c_Power_Opower__class_Opower @t30)) % 6.34/6.53 (define @t1745 () (tptp.hAPP @t1744 @t64)) % 6.34/6.53 (define @t1746 () (tptp.hAPP @t1745 @t696)) % 6.34/6.53 (define @t1747 () (tptp.hAPP @t1745 @t378)) % 6.34/6.53 (define @t1748 () (tptp.hAPP @t507 @t926)) % 6.34/6.53 (define @t1749 () (tptp.hBOOL (tptp.hAPP @t1748 @t64))) % 6.34/6.53 (define @t1750 () (@list @t696 @t378 @t64 @t30)) % 6.34/6.53 (define @t1751 () (@var "V_N" $$unsorted)) % 6.34/6.53 (define @t1752 () (tptp.hAPP @t1735 @t1751)) % 6.34/6.53 (define @t1753 () (tptp.hBOOL (tptp.hAPP @t1139 @t1751))) % 6.34/6.53 (define @t1754 () (@list @t278 @t1751 @t10 @t35)) % 6.34/6.53 (define @t1755 () (tptp.hBOOL (tptp.hAPP @t518 @t929))) % 6.34/6.53 (define @t1756 () (tptp.hBOOL (tptp.hAPP @t488 @t1751))) % 6.34/6.53 (define @t1757 () (tptp.hAPP @t1735 @t36)) % 6.34/6.53 (define @t1758 () (tptp.hBOOL (tptp.hAPP @t1424 @t1539))) % 6.34/6.53 (define @t1759 () (tptp.hAPP @t1635 @t1539)) % 6.34/6.53 (define @t1760 () (tptp.hAPP @t1635 @t327)) % 6.34/6.53 (define @t1761 () (tptp.hAPP @t1635 @t681)) % 6.34/6.53 (define @t1762 () (tptp.hAPP @t626 @t1636)) % 6.34/6.53 (define @t1763 () (@list @t681 @t990)) % 6.34/6.53 (define @t1764 () (tptp.hAPP @t713 @t1761)) % 6.34/6.53 (define @t1765 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t1766 () (tptp.hAPP @t1765 @t378)) % 6.34/6.53 (define @t1767 () (tptp.hAPP @t1765 @t544)) % 6.34/6.53 (define @t1768 () (tptp.hAPP @t1767 @t10)) % 6.34/6.53 (define @t1769 () (tptp.hAPP @t1767 @t264)) % 6.34/6.53 (define @t1770 () (@list @t10 @t264 @t544)) % 6.34/6.53 (define @t1771 () (tptp.hAPP @t1618 @t681)) % 6.34/6.53 (define @t1772 () (tptp.hAPP (tptp.hAPP @t1609 @t641) @t10)) % 6.34/6.53 (define @t1773 () (tptp.hAPP (tptp.hAPP @t1765 @t264) @t10)) % 6.34/6.53 (define @t1774 () (tptp.hAPP @t623 @t1773)) % 6.34/6.53 (define @t1775 () (tptp.hAPP @t1765 @t1658)) % 6.34/6.53 (define @t1776 () (tptp.hAPP @t1775 @t264)) % 6.34/6.53 (define @t1777 () (tptp.hAPP @t1635 @t1684)) % 6.34/6.53 (define @t1778 () (@list @t10 @t317)) % 6.34/6.53 (define @t1779 () (tptp.hAPP @t736 @t1736)) % 6.34/6.53 (define @t1780 () (tptp.hAPP @t730 @t1736)) % 6.34/6.53 (define @t1781 () (tptp.hAPP @t1780 @t278)) % 6.34/6.53 (define @t1782 () (tptp.hAPP @t1639 @t929)) % 6.34/6.53 (define @t1783 () (@var "V_v_H" $$unsorted)) % 6.34/6.53 (define @t1784 () (tptp.hAPP @t1635 @t1783)) % 6.34/6.53 (define @t1785 () (tptp.hAPP @t1347 @t901)) % 6.34/6.53 (define @t1786 () (tptp.hAPP @t1618 @t1783)) % 6.34/6.53 (define @t1787 () (@list @t1783)) % 6.34/6.53 (define @t1788 () (tptp.hAPP @t1639 @t1631)) % 6.34/6.53 (define @t1789 () (tptp.hAPP @t1788 @t10)) % 6.34/6.53 (define @t1790 () (tptp.hAPP @t1630 @t1736)) % 6.34/6.53 (define @t1791 () (tptp.hAPP @t930 @t1736)) % 6.34/6.53 (define @t1792 () (tptp.hAPP @t1744 @t140)) % 6.34/6.53 (define @t1793 () (tptp.hAPP @t1792 @t23)) % 6.34/6.53 (define @t1794 () (tptp.class_Power_Opower @t30)) % 6.34/6.53 (define @t1795 () (@list @t23 @t140 @t30)) % 6.34/6.53 (define @t1796 () (tptp.hBOOL (tptp.hAPP @t931 @t278))) % 6.34/6.53 (define @t1797 () (tptp.hAPP @t1639 @t364)) % 6.34/6.53 (define @t1798 () (tptp.class_Power_Opower @t35)) % 6.34/6.53 (define @t1799 () (and @t1798 (tptp.class_Rings_Osemiring__0 @t35))) % 6.34/6.53 (define @t1800 () (tptp.hAPP @t1639 @t722)) % 6.34/6.53 (define @t1801 () (tptp.hAPP @t1800 @t10)) % 6.34/6.53 (define @t1802 () (@list @t389 @t10 @t278 @t35)) % 6.34/6.53 (define @t1803 () (tptp.hAPP @t1733 @t36)) % 6.34/6.53 (define @t1804 () (tptp.hAPP @t1797 @t10)) % 6.34/6.53 (define @t1805 () (tptp.hAPP @t1639 @t1045)) % 6.34/6.53 (define @t1806 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t300 @t1786)) % 6.34/6.53 (define @t1807 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1784))) % 6.34/6.53 (define @t1808 () (not @t1807)) % 6.34/6.53 (define @t1809 () (@list @t30)) % 6.34/6.53 (define @t1810 () (tptp.hAPP @t1347 @t1636)) % 6.34/6.53 (define @t1811 () (tptp.hAPP (tptp.hAPP @t1357 @t1619) @t1786)) % 6.34/6.53 (define @t1812 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1636))) % 6.34/6.53 (define @t1813 () (not @t1812)) % 6.34/6.53 (define @t1814 () (@list @t1783 @t990)) % 6.34/6.53 (define @t1815 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1619 @t1786)) % 6.34/6.53 (define @t1816 () (tptp.hAPP @t1612 @t135)) % 6.34/6.53 (define @t1817 () (tptp.hAPP tptp.c_Int_Onat @t1816)) % 6.34/6.53 (define @t1818 () (tptp.hAPP tptp.c_Int_Onat @t1641)) % 6.34/6.53 (define @t1819 () (tptp.hAPP @t1609 @t1636)) % 6.34/6.53 (define @t1820 () (tptp.hAPP @t1765 @t1619)) % 6.34/6.53 (define @t1821 () (tptp.hAPP @t1820 @t10)) % 6.34/6.53 (define @t1822 () (tptp.hAPP @t1765 @t214)) % 6.34/6.53 (define @t1823 () (@list @t10 @t990)) % 6.34/6.53 (define @t1824 () (tptp.hAPP @t1820 @t1771)) % 6.34/6.53 (define @t1825 () (@list @t378)) % 6.34/6.53 (define @t1826 () (@var "V_Z_2" $$unsorted)) % 6.34/6.53 (define @t1827 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t317))) % 6.34/6.53 (define @t1828 () (@var "V_one_2" $$unsorted)) % 6.34/6.53 (define @t1829 () (@var "V_times_2" $$unsorted)) % 6.34/6.53 (define @t1830 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t30 @t1828 @t1829) @t140)) % 6.34/6.53 (define @t1831 () (= @t1619 @t214)) % 6.34/6.53 (define @t1832 () (@var "V_v_H_2" $$unsorted)) % 6.34/6.53 (define @t1833 () (tptp.hAPP @t1635 @t1832)) % 6.34/6.53 (define @t1834 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1833))) % 6.34/6.53 (define @t1835 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1777))) % 6.34/6.53 (define @t1836 () (tptp.hAPP @t1618 @t1832)) % 6.34/6.53 (define @t1837 () (tptp.hAPP @t1618 @t1684)) % 6.34/6.53 (define @t1838 () (@list @t1832 @t1684)) % 6.34/6.53 (define @t1839 () (tptp.hAPP @t1618 (tptp.hAPP @t1707 @t1783))) % 6.34/6.53 (define @t1840 () (tptp.hAPP (tptp.hAPP @t301 @t1786) @t322)) % 6.34/6.53 (define @t1841 () (tptp.hAPP @t301 @t1619)) % 6.34/6.53 (define @t1842 () (tptp.hAPP @t1841 @t1840)) % 6.34/6.53 (define @t1843 () (@list @t322 @t1783 @t990)) % 6.34/6.53 (define @t1844 () (tptp.hAPP @t623 @t1619)) % 6.34/6.53 (define @t1845 () (tptp.hAPP @t1618 (tptp.c_Int_Osucc @t990))) % 6.34/6.53 (define @t1846 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1841 @t10))) % 6.34/6.53 (define @t1847 () (tptp.c_Nitpick_Onat__gcd @t136 @t135)) % 6.34/6.53 (define @t1848 () (tptp.hAPP tptp.c_Nat_OSuc @t1619)) % 6.34/6.53 (define @t1849 () (tptp.hAPP @t1599 @t901)) % 6.34/6.53 (define @t1850 () (tptp.hAPP @t1635 tptp.c_Int_OMin)) % 6.34/6.53 (define @t1851 () (tptp.hAPP @t2 @t1238)) % 6.34/6.53 (define @t1852 () (= @t1851 @t327)) % 6.34/6.53 (define @t1853 () (tptp.hBOOL (tptp.hAPP @t1241 @t23))) % 6.34/6.53 (define @t1854 () (tptp.hBOOL (tptp.hAPP @t1424 @t217))) % 6.34/6.53 (define @t1855 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP @t1612 (tptp.hAPP (tptp.hAPP @t1454 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t301 @t1238) @t933))) @t1851))) @t901))) % 6.34/6.53 (define @t1856 () (tptp.hBOOL (tptp.hAPP @t1617 @t23))) % 6.34/6.53 (define @t1857 () (tptp.c_Int_Osucc @t322)) % 6.34/6.53 (define @t1858 () (tptp.hAPP @t1454 @t322)) % 6.34/6.53 (define @t1859 () (tptp.hAPP @t897 tptp.c_Int_OMin)) % 6.34/6.53 (define @t1860 () (tptp.hAPP @t629 tptp.c_Int_OMin)) % 6.34/6.53 (define @t1861 () (tptp.hAPP @t721 @t317)) % 6.34/6.53 (define @t1862 () (tptp.hAPP @t1633 tptp.c_Int_OMin)) % 6.34/6.53 (define @t1863 () (tptp.hAPP @t730 @t317)) % 6.34/6.53 (define @t1864 () (tptp.hAPP @t1639 @t1862)) % 6.34/6.53 (define @t1865 () (= @t135 @t214)) % 6.34/6.53 (define @t1866 () (tptp.hAPP @t1171 @t1619)) % 6.34/6.53 (define @t1867 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t990) tptp.c_Int_OPls))) % 6.34/6.53 (define @t1868 () (not @t1867)) % 6.34/6.53 (define @t1869 () (tptp.hAPP @t1841 @t933)) % 6.34/6.53 (define @t1870 () (tptp.hAPP @t713 @t696)) % 6.34/6.53 (define @t1871 () (tptp.hAPP @t626 @t378)) % 6.34/6.53 (define @t1872 () (= @t1837 @t214)) % 6.34/6.53 (define @t1873 () (tptp.hAPP @t1635 (tptp.c_Int_Opred @t1684))) % 6.34/6.53 (define @t1874 () (@list @t1684)) % 6.34/6.53 (define @t1875 () (tptp.hAPP @t1618 (tptp.hAPP @t1713 @t1783))) % 6.34/6.53 (define @t1876 () (tptp.hAPP @t780 @t1619)) % 6.34/6.53 (define @t1877 () (tptp.hAPP @t1876 (tptp.hAPP (tptp.hAPP @t780 @t1786) @t322))) % 6.34/6.53 (define @t1878 () (tptp.hAPP @t1876 @t1786)) % 6.34/6.53 (define @t1879 () (tptp.hAPP @t1633 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1880 () (tptp.hAPP @t897 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1881 () (tptp.hAPP @t629 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1882 () (tptp.hAPP @t626 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1883 () (tptp.hAPP @t713 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1884 () (= @t628 @t352)) % 6.34/6.53 (define @t1885 () (tptp.hAPP @t1618 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1886 () (tptp.hAPP @t1635 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1887 () (tptp.hAPP @t1618 (tptp.c_Int_Opred @t990))) % 6.34/6.53 (define @t1888 () (@list @t696 @t30)) % 6.34/6.53 (define @t1889 () (tptp.c_Int_Opred @t322)) % 6.34/6.53 (define @t1890 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t990) tptp.c_Int_OPls))) % 6.34/6.53 (define @t1891 () (tptp.hAPP @t897 @t1684)) % 6.34/6.53 (define @t1892 () (tptp.hBOOL (tptp.hAPP @t1891 tptp.c_Int_OPls))) % 6.34/6.53 (define @t1893 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1684) @t1832))) % 6.34/6.53 (define @t1894 () (tptp.hAPP @t474 @t1837)) % 6.34/6.53 (define @t1895 () (tptp.hAPP @t934 @t1837)) % 6.34/6.53 (define @t1896 () (tptp.hAPP @t1841 @t1786)) % 6.34/6.53 (define @t1897 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1783) tptp.c_Int_OPls))) % 6.34/6.53 (define @t1898 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1899 () (tptp.hAPP @t713 @t1898)) % 6.34/6.53 (define @t1900 () (tptp.hAPP @t626 @t1898)) % 6.34/6.53 (define @t1901 () (tptp.c_Int_OBit1 @t1898)) % 6.34/6.53 (define @t1902 () (tptp.hAPP @t1618 @t1901)) % 6.34/6.53 (define @t1903 () (tptp.hAPP @t301 @t1902)) % 6.34/6.53 (define @t1904 () (tptp.hAPP @t1903 @t264)) % 6.34/6.53 (define @t1905 () (tptp.hAPP @t1357 @t1904)) % 6.34/6.53 (define @t1906 () (tptp.hAPP tptp.c_Nat_OSuc @t265)) % 6.34/6.53 (define @t1907 () (tptp.hAPP tptp.c_Nat_OSuc @t1906)) % 6.34/6.53 (define @t1908 () (tptp.hAPP @t1357 @t1907)) % 6.34/6.53 (define @t1909 () (@list @t990 @t264)) % 6.34/6.53 (define @t1910 () (= @t327 @t1539)) % 6.34/6.53 (define @t1911 () (tptp.c_Int_OBit1 @t1539)) % 6.34/6.53 (define @t1912 () (tptp.c_Int_OBit1 @t327)) % 6.34/6.53 (define @t1913 () (tptp.hAPP @t897 @t1912)) % 6.34/6.53 (define @t1914 () (@var "V_k2_2" $$unsorted)) % 6.34/6.53 (define @t1915 () (@var "V_k1_2" $$unsorted)) % 6.34/6.53 (define @t1916 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1915) @t1914))) % 6.34/6.53 (define @t1917 () (tptp.c_Int_OBit1 @t1914)) % 6.34/6.53 (define @t1918 () (tptp.c_Int_OBit1 @t1915)) % 6.34/6.53 (define @t1919 () (tptp.hAPP @t897 @t1918)) % 6.34/6.53 (define @t1920 () (@list @t1914 @t1915)) % 6.34/6.53 (define @t1921 () (tptp.hAPP @t629 @t1912)) % 6.34/6.53 (define @t1922 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1915) @t1914))) % 6.34/6.53 (define @t1923 () (tptp.hAPP @t629 @t1918)) % 6.34/6.53 (define @t1924 () (tptp.c_Int_OBit1 @t558)) % 6.34/6.53 (define @t1925 () (@list @t558)) % 6.34/6.53 (define @t1926 () (tptp.c_Int_OBit1 @t322)) % 6.34/6.53 (define @t1927 () (@list @t1539)) % 6.34/6.53 (define @t1928 () (@list @t327)) % 6.34/6.53 (define @t1929 () (tptp.hBOOL (tptp.hAPP @t630 @t636))) % 6.34/6.53 (define @t1930 () (tptp.c_Int_OBit1 @t625)) % 6.34/6.53 (define @t1931 () (@list @t625)) % 6.34/6.53 (define @t1932 () (tptp.hBOOL (tptp.hAPP @t1880 @t327))) % 6.34/6.53 (define @t1933 () (tptp.hBOOL (tptp.hAPP @t1331 tptp.c_Int_OPls))) % 6.34/6.53 (define @t1934 () (tptp.hBOOL (tptp.hAPP @t1424 tptp.c_Int_OMin))) % 6.34/6.53 (define @t1935 () (tptp.hBOOL (tptp.hAPP @t1860 @t327))) % 6.34/6.53 (define @t1936 () (tptp.hAPP @t1635 @t625)) % 6.34/6.53 (define @t1937 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1936))) % 6.34/6.53 (define @t1938 () (tptp.hAPP @t1633 (tptp.c_Int_OBit1 @t681))) % 6.34/6.53 (define @t1939 () (tptp.hAPP @t1010 @t1704)) % 6.34/6.53 (define @t1940 () (tptp.hAPP @t1633 @t1898)) % 6.34/6.53 (define @t1941 () (tptp.hAPP @t1618 @t1898)) % 6.34/6.53 (define @t1942 () (tptp.hAPP @t1454 tptp.c_Int_OMin)) % 6.34/6.53 (define @t1943 () (tptp.hAPP @t1942 @t558)) % 6.34/6.53 (define @t1944 () (tptp.c_Int_OBit1 @t1943)) % 6.34/6.53 (define @t1945 () (tptp.hAPP @t1454 tptp.c_Int_OPls)) % 6.34/6.53 (define @t1946 () (tptp.hAPP tptp.c_Nat_OSuc @t300)) % 6.34/6.53 (define @t1947 () (tptp.hAPP @t1635 @t1901)) % 6.34/6.53 (define @t1948 () (tptp.hAPP @t1903 @t10)) % 6.34/6.53 (define @t1949 () (tptp.hAPP tptp.c_Nat_OSuc @t36)) % 6.34/6.53 (define @t1950 () (tptp.hAPP tptp.c_Nat_OSuc @t1949)) % 6.34/6.53 (define @t1951 () (tptp.hAPP @t1762 @t901)) % 6.34/6.53 (define @t1952 () (tptp.c_Int_OBit0 @t1898)) % 6.34/6.53 (define @t1953 () (tptp.hAPP @t1635 @t1952)) % 6.34/6.53 (define @t1954 () (tptp.hAPP @t710 @t1953)) % 6.34/6.53 (define @t1955 () (tptp.c_Int_OBit0 @t681)) % 6.34/6.53 (define @t1956 () (tptp.hAPP @t1635 @t1955)) % 6.34/6.53 (define @t1957 () (tptp.hAPP @t1635 (tptp.c_Int_OBit1 @t990))) % 6.34/6.53 (define @t1958 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1957 @t1956)) % 6.34/6.53 (define @t1959 () (tptp.hBOOL (tptp.hAPP @t898 @t1761))) % 6.34/6.53 (define @t1960 () (not @t1959)) % 6.34/6.53 (define @t1961 () (tptp.hAPP @t1954 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1636 @t1761))) % 6.34/6.53 (define @t1962 () (@list @t990 @t681)) % 6.34/6.53 (define @t1963 () (tptp.hAPP (tptp.hAPP @t626 @t389) @t901)) % 6.34/6.53 (define @t1964 () (tptp.hAPP @t1954 @t278)) % 6.34/6.53 (define @t1965 () (tptp.hAPP @t1954 @t389)) % 6.34/6.53 (define @t1966 () (tptp.hAPP @t998 @t1965)) % 6.34/6.53 (define @t1967 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1966 @t1964)) % 6.34/6.53 (define @t1968 () (tptp.hAPP (tptp.hAPP @t1347 @t1966) @t1964)) % 6.34/6.53 (define @t1969 () (tptp.hAPP @t643 @t908)) % 6.34/6.53 (define @t1970 () (tptp.c_Int_OBit0 @t1539)) % 6.34/6.53 (define @t1971 () (tptp.c_Int_OBit0 @t327)) % 6.34/6.53 (define @t1972 () (tptp.c_Int_OBit0 @t1914)) % 6.34/6.53 (define @t1973 () (tptp.c_Int_OBit0 @t1915)) % 6.34/6.53 (define @t1974 () (tptp.hAPP @t897 @t1973)) % 6.34/6.53 (define @t1975 () (tptp.hAPP @t897 @t1971)) % 6.34/6.53 (define @t1976 () (tptp.hAPP @t629 @t1973)) % 6.34/6.53 (define @t1977 () (tptp.hAPP @t629 @t1971)) % 6.34/6.53 (define @t1978 () (tptp.c_Int_OBit0 @t558)) % 6.34/6.53 (define @t1979 () (tptp.c_Int_OBit0 @t322)) % 6.34/6.53 (define @t1980 () (tptp.hAPP @t989 @t558)) % 6.34/6.53 (define @t1981 () (tptp.hAPP @t626 @t1979)) % 6.34/6.53 (define @t1982 () (tptp.c_Int_OBit0 (tptp.hAPP @t880 @t558))) % 6.34/6.53 (define @t1983 () (tptp.hAPP @t1858 @t558)) % 6.34/6.53 (define @t1984 () (tptp.c_Int_OBit0 @t1983)) % 6.34/6.53 (define @t1985 () (tptp.hAPP @t1454 @t1979)) % 6.34/6.53 (define @t1986 () (tptp.c_Int_OBit0 @t625)) % 6.34/6.53 (define @t1987 () (tptp.c_Int_OBit1 @t1980)) % 6.34/6.53 (define @t1988 () (tptp.hAPP @t626 @t1926)) % 6.34/6.53 (define @t1989 () (tptp.hAPP @t1454 @t1926)) % 6.34/6.53 (define @t1990 () (tptp.hAPP @t1810 @t1761)) % 6.34/6.53 (define @t1991 () (tptp.hAPP @t1635 (tptp.c_Int_OBit0 @t990))) % 6.34/6.53 (define @t1992 () (@list @t625 @t30)) % 6.34/6.53 (define @t1993 () (tptp.hAPP @t1633 @t1955)) % 6.34/6.53 (define @t1994 () (tptp.hAPP @t1635 @t10)) % 6.34/6.53 (define @t1995 () (tptp.hAPP @t365 @t317)) % 6.34/6.53 (define @t1996 () (tptp.hAPP @t1995 @t317)) % 6.34/6.53 (define @t1997 () (tptp.hAPP @t1633 @t1952)) % 6.34/6.53 (define @t1998 () (tptp.hAPP @t730 @t1997)) % 6.34/6.53 (define @t1999 () (tptp.hAPP @t1618 @t1952)) % 6.34/6.53 (define @t2000 () (tptp.hAPP @t1792 @t1999)) % 6.34/6.53 (define @t2001 () (tptp.hAPP @t1735 @t1999)) % 6.34/6.53 (define @t2002 () (tptp.hAPP @t1655 @t1999)) % 6.34/6.53 (define @t2003 () (tptp.hAPP (tptp.hAPP @t301 @t317) @t317)) % 6.34/6.53 (define @t2004 () (tptp.hAPP @t780 @t1999)) % 6.34/6.53 (define @t2005 () (tptp.hAPP (tptp.hAPP @t1639 @t1736) @t1999)) % 6.34/6.53 (define @t2006 () (tptp.hAPP @t2004 @t10)) % 6.34/6.53 (define @t2007 () (tptp.hAPP @t1735 @t2006)) % 6.34/6.53 (define @t2008 () (tptp.hAPP tptp.c_Int_Onat @t1953)) % 6.34/6.53 (define @t2009 () (tptp.hAPP @t1654 @t1999)) % 6.34/6.53 (define @t2010 () (tptp.hAPP @t1744 @t378)) % 6.34/6.53 (define @t2011 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t2010 @t1999)) (tptp.hAPP (tptp.hAPP @t1744 @t696) @t1999))) % 6.34/6.53 (define @t2012 () (tptp.hAPP @t1622 @t681)) % 6.34/6.53 (define @t2013 () (tptp.hAPP @t1655 @t10)) % 6.34/6.53 (define @t2014 () (tptp.hAPP (tptp.hAPP @t730 @t2013) @t2013)) % 6.34/6.53 (define @t2015 () (@list @t10 @t136 @t35)) % 6.34/6.53 (define @t2016 () (tptp.hAPP (tptp.hAPP @t365 @t2002) @t2009)) % 6.34/6.53 (define @t2017 () (tptp.hAPP (tptp.hAPP @t730 (tptp.hAPP @t1998 @t136)) @t135)) % 6.34/6.53 (define @t2018 () (tptp.hAPP @t1536 @t135)) % 6.34/6.53 (define @t2019 () (tptp.hAPP tptp.c_Nat_OSuc @t2006)) % 6.34/6.53 (define @t2020 () (tptp.hAPP @t1735 @t2019)) % 6.34/6.53 (define @t2021 () (tptp.hAPP (tptp.hAPP @t1347 @t1957) @t1956)) % 6.34/6.53 (define @t2022 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t325 @t1999)) % 6.34/6.53 (define @t2023 () (@list @t325)) % 6.34/6.53 (define @t2024 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2025 () (tptp.hAPP @t2024 @t1952)) % 6.34/6.53 (define @t2026 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2027 () (tptp.hAPP @t1954 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t2026 @t322) @t2025)))) % 6.34/6.53 (define @t2028 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t322)) % 6.34/6.53 (define @t2029 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2030 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t322 @t2025) @t2029)) % 6.34/6.53 (define @t2031 () (= @t322 @t2029)) % 6.34/6.53 (define @t2032 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2033 () (@var "V_r_2" $$unsorted)) % 6.34/6.53 (define @t2034 () (tptp.c_Rings_Oinverse__class_Odivide @t30)) % 6.34/6.53 (define @t2035 () (tptp.class_Fields_Olinordered__field__inverse__zero @t30)) % 6.34/6.53 (define @t2036 () (@list @t2033 @t30)) % 6.34/6.53 (define @t2037 () (tptp.c_Rings_Oinverse__class_Odivide @t35)) % 6.34/6.53 (define @t2038 () (tptp.hBOOL (tptp.hAPP @t935 @t1238))) % 6.34/6.53 (define @t2039 () (tptp.hAPP @t2 @t325)) % 6.34/6.53 (define @t2040 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2041 () (tptp.hAPP @t2037 @t278)) % 6.34/6.53 (define @t2042 () (tptp.class_Rings_Odivision__ring__inverse__zero @t35)) % 6.34/6.53 (define @t2043 () (tptp.class_Rings_Odivision__ring @t35)) % 6.34/6.53 (define @t2044 () (tptp.hAPP (tptp.hAPP @t2037 @t389) @t111)) % 6.34/6.53 (define @t2045 () (tptp.hAPP @t2041 @t111)) % 6.34/6.53 (define @t2046 () (tptp.hAPP @t2037 @t392)) % 6.34/6.53 (define @t2047 () (tptp.hAPP @t2037 @t136)) % 6.34/6.53 (define @t2048 () (tptp.hAPP @t2047 @t135)) % 6.34/6.53 (define @t2049 () (tptp.class_Fields_Ofield__inverse__zero @t35)) % 6.34/6.53 (define @t2050 () (tptp.hAPP @t2041 @t389)) % 6.34/6.53 (define @t2051 () (tptp.hAPP @t2037 @t722)) % 6.34/6.53 (define @t2052 () (= (tptp.hAPP @t2051 @t770) @t2050)) % 6.34/6.53 (define @t2053 () (tptp.hAPP @t721 @t2050)) % 6.34/6.53 (define @t2054 () (= @t2053 (tptp.hAPP @t2041 @t770))) % 6.34/6.53 (define @t2055 () (= (tptp.hAPP (tptp.hAPP @t1639 @t2050) @t10) (tptp.hAPP (tptp.hAPP @t2037 @t1736) @t1734))) % 6.34/6.53 (define @t2056 () (= (tptp.hAPP @t1630 @t2050) (tptp.hAPP (tptp.hAPP @t2037 @t1631) @t1647))) % 6.34/6.53 (define @t2057 () (tptp.c_Nat__Transfer_Ois__nat @t135)) % 6.34/6.53 (define @t2058 () (tptp.c_Nat__Transfer_Ois__nat @t136)) % 6.34/6.53 (define @t2059 () (tptp.hAPP (tptp.hAPP @t2034 @t140) @t64)) % 6.34/6.53 (define @t2060 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2045) @t2044))) % 6.34/6.53 (define @t2061 () (tptp.class_Fields_Olinordered__field @t35)) % 6.34/6.53 (define @t2062 () (tptp.hBOOL (tptp.hAPP @t580 @t2048))) % 6.34/6.53 (define @t2063 () (tptp.hBOOL (tptp.hAPP @t651 @t364))) % 6.34/6.53 (define @t2064 () (tptp.hBOOL (tptp.hAPP @t653 @t364))) % 6.34/6.53 (define @t2065 () (tptp.hAPP @t515 @t2048)) % 6.34/6.53 (define @t2066 () (tptp.hBOOL (tptp.hAPP @t2065 @t364))) % 6.34/6.53 (define @t2067 () (tptp.hBOOL (tptp.hAPP @t580 @t135))) % 6.34/6.53 (define @t2068 () (tptp.hBOOL (tptp.hAPP @t588 @t64))) % 6.34/6.53 (define @t2069 () (tptp.hBOOL (tptp.hAPP @t788 @t352))) % 6.34/6.53 (define @t2070 () (= @t25 @t352)) % 6.34/6.53 (define @t2071 () (=> @t2070 @t353)) % 6.34/6.53 (define @t2072 () (= @t821 @t64)) % 6.34/6.53 (define @t2073 () (not @t2070)) % 6.34/6.53 (define @t2074 () (tptp.hAPP @t2034 @t64)) % 6.34/6.53 (define @t2075 () (tptp.hAPP @t2074 @t25)) % 6.34/6.53 (define @t2076 () (= @t140 @t2075)) % 6.34/6.53 (define @t2077 () (tptp.class_Fields_Ofield__inverse__zero @t30)) % 6.34/6.53 (define @t2078 () (= @t64 @t821)) % 6.34/6.53 (define @t2079 () (= @t2075 @t140)) % 6.34/6.53 (define @t2080 () (@list @t140 @t25 @t64 @t30)) % 6.34/6.53 (define @t2081 () (tptp.class_Fields_Ofield @t30)) % 6.34/6.53 (define @t2082 () (tptp.class_Rings_Odivision__ring @t30)) % 6.34/6.53 (define @t2083 () (@list @t140 @t64 @t25 @t30)) % 6.34/6.53 (define @t2084 () (tptp.hAPP @t2041 @t278)) % 6.34/6.53 (define @t2085 () (=> @t801 (= @t2084 @t929))) % 6.34/6.53 (define @t2086 () (tptp.class_Fields_Ofield @t35)) % 6.34/6.53 (define @t2087 () (tptp.hAPP @t2037 @t929)) % 6.34/6.53 (define @t2088 () (tptp.hBOOL (tptp.hAPP @t932 @t2048))) % 6.34/6.53 (define @t2089 () (tptp.hBOOL (tptp.hAPP @t995 @t364))) % 6.34/6.53 (define @t2090 () (tptp.hAPP @t930 @t2048)) % 6.34/6.53 (define @t2091 () (tptp.hBOOL (tptp.hAPP @t2090 @t364))) % 6.34/6.53 (define @t2092 () (tptp.hAPP @t2037 @t135)) % 6.34/6.53 (define @t2093 () (tptp.hAPP @t2092 @t681)) % 6.34/6.53 (define @t2094 () (tptp.hAPP @t2047 @t317)) % 6.34/6.53 (define @t2095 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t681) @t317))) % 6.34/6.53 (define @t2096 () (tptp.hBOOL (tptp.hAPP @t580 @t681))) % 6.34/6.53 (define @t2097 () (@list @t317 @t681 @t135 @t136 @t35)) % 6.34/6.53 (define @t2098 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2094) @t2093))) % 6.34/6.53 (define @t2099 () (tptp.hAPP @t2037 @t111)) % 6.34/6.53 (define @t2100 () (tptp.hAPP @t2099 @t389)) % 6.34/6.53 (define @t2101 () (tptp.hAPP @t2099 @t278)) % 6.34/6.53 (define @t2102 () (=> @t854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2101) @t2100)))) % 6.34/6.53 (define @t2103 () (tptp.hBOOL (tptp.hAPP @t868 @t64))) % 6.34/6.53 (define @t2104 () (tptp.hAPP @t507 @t2075)) % 6.34/6.53 (define @t2105 () (tptp.hBOOL (tptp.hAPP @t2104 @t140))) % 6.34/6.53 (define @t2106 () (tptp.class_Fields_Olinordered__field @t30)) % 6.34/6.53 (define @t2107 () (tptp.hBOOL (tptp.hAPP @t788 @t821))) % 6.34/6.53 (define @t2108 () (tptp.hBOOL (tptp.hAPP @t508 @t2075))) % 6.34/6.53 (define @t2109 () (tptp.hAPP @t1863 @t135)) % 6.34/6.53 (define @t2110 () (@list @t136 @t317 @t135 @t35)) % 6.34/6.53 (define @t2111 () (not @t862)) % 6.34/6.53 (define @t2112 () (not @t866)) % 6.34/6.53 (define @t2113 () (tptp.c_Nat__Transfer_Ois__nat @t378)) % 6.34/6.53 (define @t2114 () (tptp.hAPP @t2037 (tptp.hAPP @t1536 @t2109))) % 6.34/6.53 (define @t2115 () (tptp.hAPP @t2114 @t135)) % 6.34/6.53 (define @t2116 () (not (= @t135 @t364))) % 6.34/6.53 (define @t2117 () (tptp.hAPP @t1863 @t136)) % 6.34/6.53 (define @t2118 () (tptp.hAPP @t2092 @t317)) % 6.34/6.53 (define @t2119 () (not (= @t317 @t364))) % 6.34/6.53 (define @t2120 () (@list @t135 @t136 @t317 @t35)) % 6.34/6.53 (define @t2121 () (tptp.hAPP @t365 @t2048)) % 6.34/6.53 (define @t2122 () (tptp.hAPP @t891 @t317)) % 6.34/6.53 (define @t2123 () (tptp.hAPP (tptp.hAPP @t730 @t681) @t135)) % 6.34/6.53 (define @t2124 () (tptp.hAPP (tptp.hAPP @t2037 @t681) @t317)) % 6.34/6.53 (define @t2125 () (@list @t681 @t136 @t317 @t135 @t35)) % 6.34/6.53 (define @t2126 () (= @t1628 @t352)) % 6.34/6.53 (define @t2127 () (=> @t2126 @t353)) % 6.34/6.53 (define @t2128 () (tptp.hAPP @t778 @t1628)) % 6.34/6.53 (define @t2129 () (not @t2126)) % 6.34/6.53 (define @t2130 () (tptp.hAPP @t2074 @t1628)) % 6.34/6.53 (define @t2131 () (and @t2077 @t1629)) % 6.34/6.53 (define @t2132 () (@list @t625 @t64 @t140 @t30)) % 6.34/6.53 (define @t2133 () (=> @t2070 @t2126)) % 6.34/6.53 (define @t2134 () (tptp.hAPP (tptp.hAPP @t776 @t1628) @t25)) % 6.34/6.53 (define @t2135 () (@list @t25 @t64 @t625 @t30)) % 6.34/6.53 (define @t2136 () (@list @t625 @t25 @t64 @t30)) % 6.34/6.53 (define @t2137 () (@list @t140 @t625 @t64 @t30)) % 6.34/6.53 (define @t2138 () (tptp.hAPP @t2046 @t1011)) % 6.34/6.53 (define @t2139 () (and @t2049 @t1637)) % 6.34/6.53 (define @t2140 () (and @t2086 @t1637)) % 6.34/6.53 (define @t2141 () (tptp.hBOOL (tptp.hAPP @t982 @t821))) % 6.34/6.53 (define @t2142 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t821) @t64))) % 6.34/6.53 (define @t2143 () (tptp.hBOOL (tptp.hAPP @t953 @t2075))) % 6.34/6.53 (define @t2144 () (tptp.hAPP @t937 @t2075)) % 6.34/6.53 (define @t2145 () (tptp.hBOOL (tptp.hAPP @t2144 @t140))) % 6.34/6.53 (define @t2146 () (=> @t854 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2101) @t2100)))) % 6.34/6.53 (define @t2147 () (tptp.hBOOL (tptp.hAPP @t1686 @t352))) % 6.34/6.53 (define @t2148 () (not @t2147)) % 6.34/6.53 (define @t2149 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2128) @t64))) % 6.34/6.53 (define @t2150 () (tptp.hBOOL (tptp.hAPP @t588 @t1628))) % 6.34/6.53 (define @t2151 () (not @t2150)) % 6.34/6.53 (define @t2152 () (tptp.hBOOL (tptp.hAPP @t788 @t2128))) % 6.34/6.53 (define @t2153 () (and @t2035 @t1629)) % 6.34/6.53 (define @t2154 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2134) @t64))) % 6.34/6.53 (define @t2155 () (tptp.hBOOL (tptp.hAPP @t788 @t2134))) % 6.34/6.53 (define @t2156 () (tptp.hBOOL (tptp.hAPP @t982 @t2128))) % 6.34/6.53 (define @t2157 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2128) @t64))) % 6.34/6.53 (define @t2158 () (tptp.hAPP @t937 @t1628)) % 6.34/6.53 (define @t2159 () (tptp.hBOOL (tptp.hAPP @t982 @t2134))) % 6.34/6.53 (define @t2160 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2134) @t64))) % 6.34/6.53 (define @t2161 () (tptp.hAPP @t2040 @t544)) % 6.34/6.53 (define @t2162 () (tptp.c_Code__Numeral_Onat__of__aux @t544 @t10)) % 6.34/6.53 (define @t2163 () (= @t544 @t2029)) % 6.34/6.53 (define @t2164 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2165 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2166 () (tptp.c_Random_Olog @t389 @t544)) % 6.34/6.53 (define @t2167 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2168 () (tptp.hAPP @t2167 @t544)) % 6.34/6.53 (define @t2169 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2170 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2169 @t389) @t2032)) (tptp.hBOOL (tptp.hAPP @t2168 @t389)))) % 6.34/6.53 (define @t2171 () (@var "B_e" $$unsorted)) % 6.34/6.53 (define @t2172 () (tptp.c_Random_Ominus__shift @t876 @t322 @t558)) % 6.34/6.53 (define @t2173 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2167 @t322) @t558))) % 6.34/6.53 (define @t2174 () (not @t2173)) % 6.34/6.53 (define @t2175 () (tptp.c_Random_Oinc__shift @t990 @t322)) % 6.34/6.53 (define @t2176 () (= @t990 @t322)) % 6.34/6.53 (define @t2177 () (@var "V_code__numeral" $$unsorted)) % 6.34/6.53 (define @t2178 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2177)) % 6.34/6.53 (define @t2179 () (@list @t2177)) % 6.34/6.53 (define @t2180 () (tptp.hAPP (tptp.hAPP @t2040 @t10) @t264)) % 6.34/6.53 (define @t2181 () (@var "V_code__numeral_H_2" $$unsorted)) % 6.34/6.53 (define @t2182 () (@var "V_code__numeral_2" $$unsorted)) % 6.34/6.53 (define @t2183 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2182)) % 6.34/6.53 (define @t2184 () (@var "V_code__numeral_H" $$unsorted)) % 6.34/6.53 (define @t2185 () (@var "V_code__numeral_H_1" $$unsorted)) % 6.34/6.53 (define @t2186 () (tptp.hAPP @t44 @t2182)) % 6.34/6.53 (define @t2187 () (@list @t2182 @t44 @t37 @t30)) % 6.34/6.53 (define @t2188 () (tptp.hAPP @t1954 @t1761)) % 6.34/6.53 (define @t2189 () (tptp.c_Divides_Oadjust @t1761)) % 6.34/6.53 (define @t2190 () (tptp.c_Divides_OnegDivAlg @t901 @t1761)) % 6.34/6.53 (define @t2191 () (tptp.hAPP @t998 @t1761)) % 6.34/6.53 (define @t2192 () (tptp.hBOOL (tptp.hAPP @t898 @t2191))) % 6.34/6.53 (define @t2193 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2194 () (tptp.hAPP @t2193 @t1850)) % 6.34/6.53 (define @t2195 () (tptp.hBOOL (tptp.hAPP @t637 @t1761))) % 6.34/6.53 (define @t2196 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2197 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2196) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2196) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 6.34/6.53 (define @t2198 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2199 () (tptp.hAPP @t2198 (tptp.hAPP @t2197 @t214))) % 6.34/6.53 (define @t2200 () (tptp.hAPP @t2199 tptp.c_Int_Onat)) % 6.34/6.53 (define @t2201 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2202 () (tptp.hAPP (tptp.hAPP @t1459 @t1837) @t1836)) % 6.34/6.53 (define @t2203 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1832) tptp.c_Int_OPls))) % 6.34/6.53 (define @t2204 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2205 () (tptp.c_Divides_Odivmod__nat @t264 @t10)) % 6.34/6.53 (define @t2206 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t214)) % 6.34/6.53 (define @t2207 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t325)) % 6.34/6.53 (define @t2208 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t23)) % 6.34/6.53 (define @t2209 () (tptp.hAPP @t2204 @t214)) % 6.34/6.53 (define @t2210 () (tptp.hAPP @t2209 @t264)) % 6.34/6.53 (define @t2211 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2212 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2213 () (tptp.hAPP (tptp.hAPP @t2212 @t301) @t2211)) % 6.34/6.53 (define @t2214 () (tptp.hAPP @t1618 @t625)) % 6.34/6.53 (define @t2215 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t2214)) % 6.34/6.53 (define @t2216 () (tptp.hAPP @t1618 @t1986)) % 6.34/6.53 (define @t2217 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t264)) % 6.34/6.53 (define @t2218 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t10)) % 6.34/6.53 (define @t2219 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.53 (define @t2220 () (tptp.hAPP (tptp.hAPP @t2204 @t1373) @t1374)) % 6.34/6.53 (define @t2221 () (tptp.c_COMBI @t30)) % 6.34/6.53 (define @t2222 () (tptp.c_COMBS @t30 @t30 @t30)) % 6.34/6.53 (define @t2223 () (tptp.hAPP (tptp.hAPP @t2222 @t776) @t2221)) % 6.34/6.53 (define @t2224 () (tptp.hAPP @t1744 @t628)) % 6.34/6.53 (define @t2225 () (tptp.c_HOL_OLet @t30 @t30)) % 6.34/6.53 (define @t2226 () (tptp.hAPP @t2225 (tptp.hAPP @t2224 @t2214))) % 6.34/6.53 (define @t2227 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2228 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2229 () (tptp.hAPP @t1609 @t628)) % 6.34/6.53 (define @t2230 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t2229 @t2214))) % 6.34/6.53 (define @t2231 () (tptp.hAPP @t1744 @t1685)) % 6.34/6.53 (define @t2232 () (tptp.hAPP @t2225 (tptp.hAPP @t2231 @t2214))) % 6.34/6.53 (define @t2233 () (tptp.hAPP (tptp.hAPP @t1459 @t719) @t1064)) % 6.34/6.53 (define @t2234 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1063))) % 6.34/6.53 (define @t2235 () (tptp.hAPP (tptp.hAPP @t2193 @t1452) @t1311)) % 6.34/6.53 (define @t2236 () (tptp.c_COMBC @t30 @t30 @t30)) % 6.34/6.53 (define @t2237 () (tptp.hAPP @t1954 @t1449)) % 6.34/6.53 (define @t2238 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2239 () (tptp.c_If @t2238)) % 6.34/6.53 (define @t2240 () (tptp.tc_fun @t2238 @t2238)) % 6.34/6.53 (define @t2241 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2238 @t2240) tptp.tc_Int_Oint) @t2239)) % 6.34/6.53 (define @t2242 () (tptp.c_COMBS tptp.tc_Int_Oint @t2238 @t2240)) % 6.34/6.53 (define @t2243 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t2238)) % 6.34/6.53 (define @t2244 () (tptp.hAPP (tptp.hAPP @t2193 @t1449) @t2033)) % 6.34/6.53 (define @t2245 () (tptp.c_Divides_Oadjust @t64)) % 6.34/6.53 (define @t2246 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t2247 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2246 tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2248 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t2249 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2250 () (tptp.hAPP (tptp.hAPP @t2249 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 6.34/6.53 (define @t2251 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t2252 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2253 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t2254 () (tptp.hAPP @t2253 (tptp.hAPP (tptp.hAPP @t2252 tptp.c_fimplies) @t2250))) % 6.34/6.53 (define @t2255 () (tptp.hAPP @t2252 tptp.c_fconj)) % 6.34/6.53 (define @t2256 () (tptp.hAPP @t2253 (tptp.hAPP @t2255 @t2250))) % 6.34/6.53 (define @t2257 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1873)) % 6.34/6.53 (define @t2258 () (tptp.hBOOL (tptp.hAPP @t2257 (tptp.hAPP @t2256 (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t2248 (tptp.hAPP (tptp.hAPP @t2247 tptp.c_fequal) tptp.c_Int_Onat)) @t23)))))) % 6.34/6.53 (define @t2259 () (@list @t1684 @t23)) % 6.34/6.53 (define @t2260 () (@list @t23 @t1684)) % 6.34/6.53 (define @t2261 () (tptp.c_COMBB tptp.tc_Nat_Onat @t30 tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2262 () (tptp.hAPP @t2261 @t2)) % 6.34/6.53 (define @t2263 () (tptp.hAPP @t2262 tptp.c_Int_Onat)) % 6.34/6.53 (define @t2264 () (tptp.c_If @t30)) % 6.34/6.53 (define @t2265 () (tptp.tc_fun @t30 @t30)) % 6.34/6.53 (define @t2266 () (tptp.tc_fun @t30 @t2265)) % 6.34/6.53 (define @t2267 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2266 tptp.tc_Int_Oint) @t2264)) % 6.34/6.53 (define @t2268 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t30 @t2265) (tptp.hAPP @t2267 tptp.c_Nat__Numeral_Oneg))) % 6.34/6.53 (define @t2269 () (tptp.c_COMBS tptp.tc_Int_Oint @t30 @t30)) % 6.34/6.53 (define @t2270 () (tptp.hAPP @t2269 (tptp.hAPP @t2268 @t140))) % 6.34/6.53 (define @t2271 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t30)) % 6.34/6.53 (define @t2272 () (tptp.hAPP @t2271 @t1873)) % 6.34/6.53 (define @t2273 () (@list @t1684 @t2 @t140 @t30)) % 6.34/6.53 (define @t2274 () (tptp.c_Nat_Onat_Onat__rec @t30 @t140 @t2)) % 6.34/6.53 (define @t2275 () (tptp.hAPP @t2261 @t2274)) % 6.34/6.53 (define @t2276 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2265 tptp.tc_Int_Oint) @t2)) % 6.34/6.53 (define @t2277 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2278 () (tptp.hAPP @t2277 tptp.c_Nat_OSuc)) % 6.34/6.53 (define @t2279 () (tptp.hAPP @t1618 @t1930)) % 6.34/6.53 (define @t2280 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2281 () (tptp.hAPP @t474 @t109)) % 6.34/6.53 (define @t2282 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2196 tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2283 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.53 (define @t2284 () (tptp.hAPP (tptp.hAPP @t2283 (tptp.hAPP (tptp.hAPP @t2282 @t301) tptp.c_Int_Onat)) @t23)) % 6.34/6.53 (define @t2285 () (tptp.hAPP (tptp.hAPP @t301 @t1837) @t23)) % 6.34/6.53 (define @t2286 () (@list @t23 @t1684 @t2 @t140 @t30)) % 6.34/6.53 (define @t2287 () (tptp.hAPP @t2224 @t2279)) % 6.34/6.53 (define @t2288 () (tptp.hBOOL (tptp.hAPP @t898 @t1936))) % 6.34/6.53 (define @t2289 () (not @t2288)) % 6.34/6.53 (define @t2290 () (tptp.hAPP @t776 @t628)) % 6.34/6.53 (define @t2291 () (tptp.c_COMBB @t30 @t2265 @t30)) % 6.34/6.53 (define @t2292 () (tptp.hAPP @t2291 @t776)) % 6.34/6.53 (define @t2293 () (tptp.hAPP @t2229 @t2279)) % 6.34/6.53 (define @t2294 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2295 () (tptp.c_COMBB tptp.tc_Int_Oint @t2294 tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2296 () (tptp.c_Divides_Oadjust @t389)) % 6.34/6.53 (define @t2297 () (tptp.c_Divides_OnegDivAlg @t278 @t389)) % 6.34/6.53 (define @t2298 () (= @t2297 (tptp.hAPP @t2296 (tptp.c_Divides_OnegDivAlg @t278 @t1965)))) % 6.34/6.53 (define @t2299 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t389) @t636))) % 6.34/6.53 (define @t2300 () (tptp.hBOOL (tptp.hAPP @t898 @t1326))) % 6.34/6.53 (define @t2301 () (or @t2300 @t2299)) % 6.34/6.53 (define @t2302 () (= @t2297 (tptp.hAPP @t2194 @t1326))) % 6.34/6.53 (define @t2303 () (tptp.hAPP @t2231 @t2279)) % 6.34/6.53 (define @t2304 () (tptp.hAPP @t1954 @t1636)) % 6.34/6.53 (define @t2305 () (tptp.c_Divides_Oadjust @t1636)) % 6.34/6.53 (define @t2306 () (tptp.c_Divides_OnegDivAlg @t1761 @t1636)) % 6.34/6.53 (define @t2307 () (tptp.hAPP (tptp.hAPP @t626 @t1761) @t1636)) % 6.34/6.53 (define @t2308 () (tptp.hBOOL (tptp.hAPP @t898 @t2307))) % 6.34/6.53 (define @t2309 () (tptp.hBOOL (tptp.hAPP @t637 @t1636))) % 6.34/6.53 (define @t2310 () (tptp.tc_fun tptp.tc_Int_Oint @t2238)) % 6.34/6.53 (define @t2311 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2310 tptp.tc_Int_Oint) @t2193)) % 6.34/6.53 (define @t2312 () (tptp.c_Nitpick_Onorm__frac @t140 @t64)) % 6.34/6.53 (define @t2313 () (or (= @t140 @t636) (= @t64 @t636))) % 6.34/6.53 (define @t2314 () (tptp.hAPP @t2193 @t636)) % 6.34/6.53 (define @t2315 () (tptp.hAPP @t2314 @t901)) % 6.34/6.53 (define @t2316 () (tptp.hAPP @t713 @t140)) % 6.34/6.53 (define @t2317 () (and (=> @t1401 (= @t2312 (tptp.c_Nitpick_Onorm__frac @t2316 (tptp.hAPP @t713 @t64)))) (=> (not @t1401) (and (=> @t2313 (= @t2312 @t2315)) (=> (not @t2313) (= @t2312 (tptp.hAPP (tptp.hAPP @t2243 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t140) @t64)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t2238) (tptp.hAPP @t2311 @t1394)) (tptp.hAPP @t1347 @t64))))))))) % 6.34/6.53 (define @t2318 () (tptp.c_Divides_OposDivAlg @t901 @t1761)) % 6.34/6.53 (define @t2319 () (tptp.hBOOL (tptp.hAPP @t902 @t1761))) % 6.34/6.53 (define @t2320 () (tptp.c_Divides_OposDivAlg @t278 @t389)) % 6.34/6.53 (define @t2321 () (= @t2320 (tptp.hAPP @t2296 (tptp.c_Divides_OposDivAlg @t278 @t1965)))) % 6.34/6.53 (define @t2322 () (or @t1322 @t2299)) % 6.34/6.53 (define @t2323 () (= @t2320 (tptp.hAPP @t2314 @t278))) % 6.34/6.53 (define @t2324 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2325 () (tptp.hAPP (tptp.hAPP @t2324 @t1454) @t64)) % 6.34/6.53 (define @t2326 () (tptp.hAPP @t2295 @t626)) % 6.34/6.53 (define @t2327 () (tptp.hAPP (tptp.c_COMBB @t2310 (tptp.tc_fun @t2294 @t2310) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t2238 tptp.tc_Int_Oint))) % 6.34/6.53 (define @t2328 () (tptp.c_COMBC tptp.tc_Int_Oint @t2294 @t2310)) % 6.34/6.53 (define @t2329 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 6.34/6.53 (define @t2330 () (tptp.tc_fun tptp.tc_Int_Oint @t2240)) % 6.34/6.53 (define @t2331 () (tptp.hAPP (tptp.c_COMBB @t2330 (tptp.tc_fun @t2310 @t2310) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t2238 @t2238))) % 6.34/6.53 (define @t2332 () (tptp.c_COMBS tptp.tc_Int_Oint @t2310 @t2310)) % 6.34/6.53 (define @t2333 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t2238)) % 6.34/6.53 (define @t2334 () (tptp.c_Divides_OposDivAlg @t1761 @t1636)) % 6.34/6.53 (define @t2335 () (tptp.hAPP @t629 @t1761)) % 6.34/6.53 (define @t2336 () (tptp.hBOOL (tptp.hAPP @t2335 @t1636))) % 6.34/6.53 (define @t2337 () (tptp.hAPP @t2314 @t636)) % 6.34/6.53 (define @t2338 () (tptp.hAPP (tptp.hAPP @t2222 @t354) @t2221)) % 6.34/6.53 (define @t2339 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.34/6.53 (define @t2340 () (tptp.hAPP (tptp.hAPP @t2339 tptp.c_fequal) @t636)) % 6.34/6.53 (define @t2341 () (tptp.tc_fun @t2265 @t30)) % 6.34/6.53 (define @t2342 () (tptp.tc_fun tptp.tc_Int_Oint @t30)) % 6.34/6.53 (define @t2343 () (tptp.tc_fun tptp.tc_Int_Oint @t2265)) % 6.34/6.53 (define @t2344 () (tptp.hAPP @t705 @t327)) % 6.34/6.53 (define @t2345 () (not @t1338)) % 6.34/6.53 (define @t2346 () (tptp.class_Rings_Oring__1 @t30)) % 6.34/6.53 (define @t2347 () (@list @t327 @t30)) % 6.34/6.53 (define @t2348 () (tptp.hAPP @t1369 @t876)) % 6.34/6.53 (define @t2349 () (tptp.hAPP (tptp.hAPP @t2204 @t1105) @t876)) % 6.34/6.53 (define @t2350 () (tptp.c_Divides_Odivmod__nat__rel @t389 @t111)) % 6.34/6.53 (define @t2351 () (@list @t278 @t876 @t1105 @t111 @t389)) % 6.34/6.53 (define @t2352 () (@list @t111 @t876 @t1105 @t389 @t278)) % 6.34/6.54 (define @t2353 () (tptp.hAPP @t1954 @t64)) % 6.34/6.54 (define @t2354 () (tptp.c_Divides_OnegDivAlg @t140 @t64)) % 6.34/6.54 (define @t2355 () (tptp.hBOOL (tptp.hAPP @t1425 @t636))) % 6.34/6.54 (define @t2356 () (tptp.hAPP @t626 @t140)) % 6.34/6.54 (define @t2357 () (tptp.hAPP @t2356 @t64)) % 6.34/6.54 (define @t2358 () (or (tptp.hBOOL (tptp.hAPP @t898 @t2357)) @t2355)) % 6.34/6.54 (define @t2359 () (tptp.hAPP (tptp.hAPP @t2193 @t140) @t64)) % 6.34/6.54 (define @t2360 () (tptp.c_Wellfounded_Oaccp @t2238 tptp.c_Divides_OnegDivAlg__rel)) % 6.34/6.54 (define @t2361 () (@var "V_qr_H" $$unsorted)) % 6.34/6.54 (define @t2362 () (@var "V_qr" $$unsorted)) % 6.34/6.54 (define @t2363 () (tptp.c_Divides_Odivmod__nat__rel @t264 @t10)) % 6.34/6.54 (define @t2364 () (tptp.hBOOL (tptp.hAPP @t2363 @t2362))) % 6.34/6.54 (define @t2365 () (tptp.c_Wellfounded_Oaccp @t30 @t2033)) % 6.34/6.54 (define @t2366 () (tptp.hBOOL (tptp.hAPP @t2365 @t140))) % 6.34/6.54 (define @t2367 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2033 @t140) @t64))) % 6.34/6.54 (define @t2368 () (@list @t140 @t2033 @t30)) % 6.34/6.54 (define @t2369 () (@var "V_R1_2" $$unsorted)) % 6.34/6.54 (define @t2370 () (@var "V_R2_2" $$unsorted)) % 6.34/6.54 (define @t2371 () (tptp.tc_fun @t30 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2372 () (tptp.c_Orderings_Oord__class_Oless__eq @t2371)) % 6.34/6.54 (define @t2373 () (tptp.tc_fun @t30 @t2371)) % 6.34/6.54 (define @t2374 () (tptp.c_Orderings_Oord__class_Oless__eq @t2373)) % 6.34/6.54 (define @t2375 () (@list @t2370 @t2369 @t30)) % 6.34/6.54 (define @t2376 () (tptp.hBOOL (tptp.hAPP @t2363 @t2349))) % 6.34/6.54 (define @t2377 () (@list @t876 @t1105 @t10 @t264)) % 6.34/6.54 (define @t2378 () (@var "V_br" $$unsorted)) % 6.34/6.54 (define @t2379 () (@var "V_ar" $$unsorted)) % 6.34/6.54 (define @t2380 () (tptp.hAPP (tptp.hAPP @t301 @t2379) @t2378)) % 6.34/6.54 (define @t2381 () (@var "V_bq" $$unsorted)) % 6.34/6.54 (define @t2382 () (@var "V_aq" $$unsorted)) % 6.34/6.54 (define @t2383 () (@list @t2378 @t2381 @t389 @t2379 @t2382 @t111 @t278)) % 6.34/6.54 (define @t2384 () (tptp.c_Divides_OposDivAlg @t140 @t64)) % 6.34/6.54 (define @t2385 () (or (tptp.hBOOL (tptp.hAPP @t1393 @t64)) @t2355)) % 6.34/6.54 (define @t2386 () (tptp.c_Wellfounded_Oaccp @t2238 tptp.c_Divides_OposDivAlg__rel)) % 6.34/6.54 (define @t2387 () (tptp.c_Wellfounded_Oaccp @t2238 tptp.c_Nitpick_Onorm__frac__rel)) % 6.34/6.54 (define @t2388 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2389 () (tptp.tc_fun tptp.tc_Int_Oint @t2388)) % 6.34/6.54 (define @t2390 () (tptp.c_COMBB @t2388 @t2388 tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2391 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2392 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t1294 @t1293))) % 6.34/6.54 (define @t2393 () (tptp.c_Divides_Odivmod__int @t278 @t389)) % 6.34/6.54 (define @t2394 () (not @t1307)) % 6.34/6.54 (define @t2395 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1294 @t1293))) % 6.34/6.54 (define @t2396 () (tptp.hBOOL (tptp.hAPP @t898 @t389))) % 6.34/6.54 (define @t2397 () (@var "V_a0_2" $$unsorted)) % 6.34/6.54 (define @t2398 () (tptp.hAPP (tptp.hAPP @t27 @t2397) @t84)) % 6.34/6.54 (define @t2399 () (tptp.hBOOL @t2398)) % 6.34/6.54 (define @t2400 () (@var "B_b" $$unsorted)) % 6.34/6.54 (define @t2401 () (tptp.hAPP @t27 @t472)) % 6.34/6.54 (define @t2402 () (tptp.hBOOL (tptp.hAPP @t2401 @t2400))) % 6.34/6.54 (define @t2403 () (tptp.hBOOL (tptp.hAPP @t2401 (tptp.hAPP @t1954 @t2400)))) % 6.34/6.54 (define @t2404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t2400) @t636))) % 6.34/6.54 (define @t2405 () (tptp.hAPP (tptp.hAPP @t2193 @t472) @t2400)) % 6.34/6.54 (define @t2406 () (@list @t472 @t2400)) % 6.34/6.54 (define @t2407 () (tptp.hAPP (tptp.hAPP @t2193 @t2397) @t84)) % 6.34/6.54 (define @t2408 () (@list @t27 @t84 @t2397)) % 6.34/6.54 (define @t2409 () (tptp.hAPP @t2193 @t1105)) % 6.34/6.54 (define @t2410 () (tptp.hAPP @t2409 @t876)) % 6.34/6.54 (define @t2411 () (tptp.c_Product__Type_OPair @t30 @t127)) % 6.34/6.54 (define @t2412 () (tptp.hAPP @t2411 @t140)) % 6.34/6.54 (define @t2413 () (tptp.hAPP @t2412 @t64)) % 6.34/6.54 (define @t2414 () (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2415 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2414 @t2) @t2413))) % 6.34/6.54 (define @t2416 () (tptp.hAPP @t2 @t140)) % 6.34/6.54 (define @t2417 () (tptp.hAPP @t2416 @t64)) % 6.34/6.54 (define @t2418 () (tptp.hBOOL @t2417)) % 6.34/6.54 (define @t2419 () (tptp.c_Nitpick_Onat__gcd @t378 @t696)) % 6.34/6.54 (define @t2420 () (= @t696 @t214)) % 6.34/6.54 (define @t2421 () (tptp.hAPP (tptp.hAPP @t2204 @t378) @t696)) % 6.34/6.54 (define @t2422 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2423 () (tptp.c_Wellfounded_Oaccp @t2422 tptp.c_Nitpick_Onat__gcd__rel)) % 6.34/6.54 (define @t2424 () (tptp.c_Divides_Opdivmod @t327 @t1539)) % 6.34/6.54 (define @t2425 () (tptp.hAPP (tptp.hAPP @t2333 (tptp.hAPP (tptp.hAPP @t2332 (tptp.hAPP @t2331 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2238 @t2330 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2238 @t2240) (tptp.hAPP @t2241 @t2340))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2238) (tptp.hAPP @t2311 @t713)) @t636)))) (tptp.hAPP (tptp.hAPP @t2328 (tptp.hAPP @t2327 (tptp.hAPP @t2311 (tptp.hAPP (tptp.hAPP @t2324 (tptp.hAPP (tptp.hAPP @t2295 @t1454) @t713)) @t901)))) (tptp.hAPP @t1454 (tptp.hAPP @t1612 @t1539))))) @t2424)) % 6.34/6.54 (define @t2426 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1539)) % 6.34/6.54 (define @t2427 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t710 @t2426))) % 6.34/6.54 (define @t2428 () (tptp.c_Divides_Odivmod__int @t327 @t1539)) % 6.34/6.54 (define @t2429 () (= @t1539 @t636)) % 6.34/6.54 (define @t2430 () (not @t2429)) % 6.34/6.54 (define @t2431 () (=> @t2429 (= @t2428 (tptp.hAPP @t2314 @t327)))) % 6.34/6.54 (define @t2432 () (=> @t1338 (= @t2428 @t2337))) % 6.34/6.54 (define @t2433 () (tptp.hAPP @t2 @t696)) % 6.34/6.54 (define @t2434 () (tptp.hAPP @t2411 @t378)) % 6.34/6.54 (define @t2435 () (tptp.c_Product__Type_OPair @t30 @t465)) % 6.34/6.54 (define @t2436 () (tptp.hAPP (tptp.hAPP @t2435 @t378) @t696)) % 6.34/6.54 (define @t2437 () (tptp.c_Product__Type_Oapsnd @t465 @t127 @t30 @t2)) % 6.34/6.54 (define @t2438 () (tptp.hAPP (tptp.hAPP @t2411 @t472) @t2400)) % 6.34/6.54 (define @t2439 () (tptp.hAPP (tptp.hAPP @t2411 @t444) @t458)) % 6.34/6.54 (define @t2440 () (tptp.c_Product__Type_OPair @t35 @t30)) % 6.34/6.54 (define @t2441 () (tptp.hAPP (tptp.hAPP @t2440 @t278) @t389)) % 6.34/6.54 (define @t2442 () (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t465)) % 6.34/6.54 (define @t2443 () (tptp.hAPP @t2442 @t25)) % 6.34/6.54 (define @t2444 () (tptp.c_Product__Type_OPair @t127 @t465)) % 6.34/6.54 (define @t2445 () (tptp.hAPP (tptp.hAPP @t2444 @t140) @t64)) % 6.34/6.54 (define @t2446 () (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t465 @t30)) % 6.34/6.54 (define @t2447 () (tptp.hAPP @t2446 @t2)) % 6.34/6.54 (define @t2448 () (@list @t64 @t140 @t2 @t30 @t465 @t127)) % 6.34/6.54 (define @t2449 () (@list @t64 @t140 @t2 @t127 @t30)) % 6.34/6.54 (define @t2450 () (tptp.tc_prod @t30 @t127)) % 6.34/6.54 (define @t2451 () (tptp.tc_fun @t127 @t465)) % 6.34/6.54 (define @t2452 () (tptp.tc_fun @t127 @t2450)) % 6.34/6.54 (define @t2453 () (@list @t2 @t465 @t127 @t30)) % 6.34/6.54 (define @t2454 () (@var "T_f" $$unsorted)) % 6.34/6.54 (define @t2455 () (tptp.tc_prod @t127 @t465)) % 6.34/6.54 (define @t2456 () (@var "T_e" $$unsorted)) % 6.34/6.54 (define @t2457 () (tptp.hAPP @t1612 @t558)) % 6.34/6.54 (define @t2458 () (tptp.hAPP @t1612 @t322)) % 6.34/6.54 (define @t2459 () (tptp.c_Divides_Opdivmod @t322 @t558)) % 6.34/6.54 (define @t2460 () (= @t558 @t636)) % 6.34/6.54 (define @t2461 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t10 @t264)) % 6.34/6.54 (define @t2462 () (tptp.hAPP (tptp.hAPP @t2026 @t10) @t264)) % 6.34/6.54 (define @t2463 () (tptp.c_Divides_Odivmod__int__rel @t278 @t389)) % 6.34/6.54 (define @t2464 () (tptp.hBOOL (tptp.hAPP @t2463 @t2410))) % 6.34/6.54 (define @t2465 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1250 @t1764))) % 6.34/6.54 (define @t2466 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2467 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t901 @t1761)) % 6.34/6.54 (define @t2468 () (tptp.hBOOL (tptp.hAPP @t2335 @t636))) % 6.34/6.54 (define @t2469 () (tptp.hAPP @t2253 (tptp.hAPP @t2255 @t898))) % 6.34/6.54 (define @t2470 () (tptp.hAPP tptp.c_fequal @t140)) % 6.34/6.54 (define @t2471 () (tptp.tc_fun tptp.tc_Int_Oint @t2251)) % 6.34/6.54 (define @t2472 () (tptp.tc_fun @t2388 @t2388)) % 6.34/6.54 (define @t2473 () (tptp.c_Divides_Odivmod__int__rel @t140 @t64)) % 6.34/6.54 (define @t2474 () (@var "V_R_2" $$unsorted)) % 6.34/6.54 (define @t2475 () (tptp.tc_fun @t465 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2476 () (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t2475)) % 6.34/6.54 (define @t2477 () (tptp.c_Product__Type_OPair @t30 @t35)) % 6.34/6.54 (define @t2478 () (tptp.c_Product__Type_Osnd @t30 @t35)) % 6.34/6.54 (define @t2479 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t30 @t465) @t378)) % 6.34/6.54 (define @t2480 () (tptp.hAPP @t2437 @t378)) % 6.34/6.54 (define @t2481 () (tptp.c_Product__Type_Osnd @t127 @t465)) % 6.34/6.54 (define @t2482 () (tptp.hAPP @t2481 @t378)) % 6.34/6.54 (define @t2483 () (tptp.c_Product__Type_Osnd @t127 @t30)) % 6.34/6.54 (define @t2484 () (tptp.hAPP @t2483 @t1615)) % 6.34/6.54 (define @t2485 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t278 @t278) @t2410))) % 6.34/6.54 (define @t2486 () (@list @t876 @t1105 @t278)) % 6.34/6.54 (define @t2487 () (tptp.hBOOL (tptp.hAPP @t2463 (tptp.hAPP (tptp.hAPP @t2193 @t1114) @t1119)))) % 6.34/6.54 (define @t2488 () (@list @t1119 @t1114 @t876 @t1105 @t389 @t278)) % 6.34/6.54 (define @t2489 () (@list @t876 @t1105 @t389 @t278)) % 6.34/6.54 (define @t2490 () (tptp.hAPP (tptp.hAPP @t626 @t2379) @t2378)) % 6.34/6.54 (define @t2491 () (not (= @t111 @t636))) % 6.34/6.54 (define @t2492 () (tptp.c_Divides_Odivmod__int__rel @t389 @t111)) % 6.34/6.54 (define @t2493 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2033) @t636))) % 6.34/6.54 (define @t2494 () (tptp.hAPP @t713 @t1449)) % 6.34/6.54 (define @t2495 () (tptp.tc_fun tptp.tc_Nat_Onat @t2422)) % 6.34/6.54 (define @t2496 () (tptp.c_Divides_Odivmod__nat @t325 @t23)) % 6.34/6.54 (define @t2497 () (or @t338 @t497)) % 6.34/6.54 (define @t2498 () (tptp.hAPP @t1107 @t876)) % 6.34/6.54 (define @t2499 () (= @t1235 @t1473)) % 6.34/6.54 (define @t2500 () (tptp.hAPP @t2372 @t1473)) % 6.34/6.54 (define @t2501 () (tptp.hBOOL (tptp.hAPP @t2500 @t1235))) % 6.34/6.54 (define @t2502 () (tptp.hAPP @t2372 @t1235)) % 6.34/6.54 (define @t2503 () (tptp.hBOOL (tptp.hAPP @t2502 @t1473))) % 6.34/6.54 (define @t2504 () (@list @t1473 @t1235 @t30)) % 6.34/6.54 (define @t2505 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2506 () (tptp.hAPP @t1785 @t1761)) % 6.34/6.54 (define @t2507 () (tptp.hAPP @t27 @t412)) % 6.34/6.54 (define @t2508 () (tptp.hAPP (tptp.hAPP @t2204 @t4) @t412)) % 6.34/6.54 (define @t2509 () (@list @t4 @t412)) % 6.34/6.54 (define @t2510 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2511 () (tptp.hAPP @t2510 @t23)) % 6.34/6.54 (define @t2512 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2513 () (tptp.hAPP @t2512 tptp.c_Nat_OSuc)) % 6.34/6.54 (define @t2514 () (tptp.hAPP @t2201 @t1873)) % 6.34/6.54 (define @t2515 () (tptp.hAPP @t2510 @t109)) % 6.34/6.54 (define @t2516 () (tptp.c_Orderings_Oord__class_Omin @t35)) % 6.34/6.54 (define @t2517 () (tptp.hAPP @t2516 @t136)) % 6.34/6.54 (define @t2518 () (tptp.hAPP @t2517 @t135)) % 6.34/6.54 (define @t2519 () (tptp.hAPP @t930 @t2518)) % 6.34/6.54 (define @t2520 () (tptp.c_Orderings_Oord__class_Omin @t30)) % 6.34/6.54 (define @t2521 () (tptp.hAPP @t2520 @t378)) % 6.34/6.54 (define @t2522 () (tptp.hAPP @t2521 @t696)) % 6.34/6.54 (define @t2523 () (tptp.hBOOL (tptp.hAPP @t1212 @t628))) % 6.34/6.54 (define @t2524 () (and @t1213 @t2523)) % 6.34/6.54 (define @t2525 () (@list @t628 @t696 @t378 @t30)) % 6.34/6.54 (define @t2526 () (tptp.hBOOL (tptp.hAPP @t1187 @t628))) % 6.34/6.54 (define @t2527 () (tptp.hAPP @t2516 @t278)) % 6.34/6.54 (define @t2528 () (tptp.hAPP @t2527 @t389)) % 6.34/6.54 (define @t2529 () (tptp.hAPP @t930 @t2528)) % 6.34/6.54 (define @t2530 () (tptp.hBOOL (tptp.hAPP @t2529 @t136))) % 6.34/6.54 (define @t2531 () (tptp.hBOOL (tptp.hAPP @t957 @t136))) % 6.34/6.54 (define @t2532 () (@list @t389 @t136 @t278 @t35)) % 6.34/6.54 (define @t2533 () (tptp.hBOOL (tptp.hAPP @t1013 @t136))) % 6.34/6.54 (define @t2534 () (@list @t278 @t136 @t389 @t35)) % 6.34/6.54 (define @t2535 () (tptp.hBOOL (tptp.hAPP @t995 @t2528))) % 6.34/6.54 (define @t2536 () (tptp.hBOOL (tptp.hAPP @t995 @t389))) % 6.34/6.54 (define @t2537 () (@list @t389 @t278 @t136 @t35)) % 6.34/6.54 (define @t2538 () (tptp.hAPP @t2516 @t135)) % 6.34/6.54 (define @t2539 () (tptp.hAPP @t2538 @t317)) % 6.34/6.54 (define @t2540 () (tptp.hBOOL (tptp.hAPP @t1013 @t384))) % 6.34/6.54 (define @t2541 () (not (=> @t996 (not @t2536)))) % 6.34/6.54 (define @t2542 () (tptp.hAPP @t2510 @t10)) % 6.34/6.54 (define @t2543 () (tptp.hAPP @t1536 @t317)) % 6.34/6.54 (define @t2544 () (tptp.hAPP (tptp.hAPP @t1476 @t135) @t317)) % 6.34/6.54 (define @t2545 () (tptp.hAPP @t1537 @t317)) % 6.34/6.54 (define @t2546 () (tptp.hAPP @t2517 @t2539)) % 6.34/6.54 (define @t2547 () (tptp.hAPP @t2516 @t389)) % 6.34/6.54 (define @t2548 () (tptp.hAPP @t2527 (tptp.hAPP @t2547 @t111))) % 6.34/6.54 (define @t2549 () (tptp.hAPP @t2517 @t317)) % 6.34/6.54 (define @t2550 () (tptp.hAPP @t2538 @t136)) % 6.34/6.54 (define @t2551 () (tptp.hAPP @t507 @t628)) % 6.34/6.54 (define @t2552 () (tptp.hBOOL (tptp.hAPP @t2551 @t696))) % 6.34/6.54 (define @t2553 () (tptp.hBOOL (tptp.hAPP @t2551 @t378))) % 6.34/6.54 (define @t2554 () (@list @t696 @t378 @t628 @t30)) % 6.34/6.54 (define @t2555 () (tptp.hBOOL (tptp.hAPP @t1223 @t628))) % 6.34/6.54 (define @t2556 () (tptp.hBOOL (tptp.hAPP @t1225 @t628))) % 6.34/6.54 (define @t2557 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2528) @t136))) % 6.34/6.54 (define @t2558 () (tptp.hBOOL (tptp.hAPP @t518 @t136))) % 6.34/6.54 (define @t2559 () (tptp.hBOOL (tptp.hAPP @t574 @t136))) % 6.34/6.54 (define @t2560 () (tptp.hAPP (tptp.hAPP @t2510 @t264) @t10)) % 6.34/6.54 (define @t2561 () (tptp.hAPP (tptp.hAPP @t2440 @t136) @t135)) % 6.34/6.54 (define @t2562 () (tptp.c_Product__Type_Ofst @t35 @t30)) % 6.34/6.54 (define @t2563 () (tptp.c_Product__Type_Osnd @t35 @t30)) % 6.34/6.54 (define @t2564 () (tptp.hAPP @t2563 @t1658)) % 6.34/6.54 (define @t2565 () (tptp.hAPP @t2562 @t1658)) % 6.34/6.54 (define @t2566 () (tptp.c_Product__Type_Osnd @t30 @t127)) % 6.34/6.54 (define @t2567 () (tptp.c_Product__Type_Ofst @t30 @t127)) % 6.34/6.54 (define @t2568 () (= @t61 @t69)) % 6.34/6.54 (define @t2569 () (@list @t378 @t2 @t465 @t127 @t30)) % 6.34/6.54 (define @t2570 () (tptp.c_COMBK @t30 @t127)) % 6.34/6.54 (define @t2571 () (tptp.hAPP @t2567 @t1615)) % 6.34/6.54 (define @t2572 () (tptp.hAPP @t1622 @t258)) % 6.34/6.54 (define @t2573 () (tptp.hAPP (tptp.hAPP @t2520 @t2572) @t1688)) % 6.34/6.54 (define @t2574 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2572) @t1688))) % 6.34/6.54 (define @t2575 () (not @t2574)) % 6.34/6.54 (define @t2576 () (tptp.class_Orderings_Oord @t30)) % 6.34/6.54 (define @t2577 () (and @t1629 @t2576)) % 6.34/6.54 (define @t2578 () (@list @t990 @t258 @t30)) % 6.34/6.54 (define @t2579 () (tptp.hAPP @t2481 @t1615)) % 6.34/6.54 (define @t2580 () (tptp.c_Product__Type_Ofst @t127 @t465)) % 6.34/6.54 (define @t2581 () (tptp.hAPP @t2580 @t1615)) % 6.34/6.54 (define @t2582 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2583 () (tptp.c_Groups_Ominus__class_Ominus @t2371)) % 6.34/6.54 (define @t2584 () (tptp.hAPP @t2583 @t1235)) % 6.34/6.54 (define @t2585 () (tptp.hAPP @t2584 @t1473)) % 6.34/6.54 (define @t2586 () (tptp.hAPP @t2372 @t2585)) % 6.34/6.54 (define @t2587 () (@var "V_D_2" $$unsorted)) % 6.34/6.54 (define @t2588 () (@var "V_C_2" $$unsorted)) % 6.34/6.54 (define @t2589 () (tptp.hAPP @t2583 @t2588)) % 6.34/6.54 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2502 @t2588))) % 6.34/6.54 (define @t2591 () (tptp.hAPP @t2583 @t1473)) % 6.34/6.54 (define @t2592 () (tptp.hBOOL (tptp.hAPP @t2500 @t2588))) % 6.34/6.54 (define @t2593 () (@list @t2588 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t2594 () (tptp.c_Orderings_Oord__class_Oless @t2371)) % 6.34/6.54 (define @t2595 () (tptp.hAPP @t2594 @t1235)) % 6.34/6.54 (define @t2596 () (tptp.hBOOL (tptp.hAPP @t2595 @t1473))) % 6.34/6.54 (define @t2597 () (tptp.hBOOL (tptp.hAPP @t2595 @t2588))) % 6.34/6.54 (define @t2598 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2594 @t1473) @t2588)) @t2597)) % 6.34/6.54 (define @t2599 () (tptp.c_Groups_Ouminus__class_Ouminus @t2371)) % 6.34/6.54 (define @t2600 () (tptp.hAPP @t2599 @t1235)) % 6.34/6.54 (define @t2601 () (tptp.hAPP @t2599 @t1473)) % 6.34/6.54 (define @t2602 () (@list @t1235 @t30)) % 6.34/6.54 (define @t2603 () (@list @t30 @t1473 @t1235)) % 6.34/6.54 (define @t2604 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2605 () (tptp.hAPP @t2566 @t1615)) % 6.34/6.54 (define @t2606 () (tptp.hAPP (tptp.hAPP @t2411 @t1615) @t1449)) % 6.34/6.54 (define @t2607 () (tptp.c_Product__Type_OPair @t127 @t30)) % 6.34/6.54 (define @t2608 () (tptp.hAPP @t2607 @t378)) % 6.34/6.54 (define @t2609 () (tptp.hAPP @t2608 @t696)) % 6.34/6.54 (define @t2610 () (tptp.c_Product__Type_Ofst @t127 @t30)) % 6.34/6.54 (define @t2611 () (tptp.hAPP @t27 @t696)) % 6.34/6.54 (define @t2612 () (tptp.hAPP @t2583 @t2585)) % 6.34/6.54 (define @t2613 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2614 () (@var "V_qr_2" $$unsorted)) % 6.34/6.54 (define @t2615 () (tptp.hAPP @t2582 @t2614)) % 6.34/6.54 (define @t2616 () (tptp.hAPP @t2613 @t2614)) % 6.34/6.54 (define @t2617 () (tptp.c_Divides_Odivmod__nat__rel @t325 @t23)) % 6.34/6.54 (define @t2618 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.54 (define @t2619 () (tptp.hAPP @t2167 @t2029)) % 6.34/6.54 (define @t2620 () (@var "V_xq_2" $$unsorted)) % 6.34/6.54 (define @t2621 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2622 () (tptp.hAPP @t2621 @t23)) % 6.34/6.54 (define @t2623 () (tptp.hAPP @t2198 (tptp.hAPP @t2197 @t109))) % 6.34/6.54 (define @t2624 () (tptp.hAPP @t2621 @t109)) % 6.34/6.54 (define @t2625 () (tptp.c_Product__Type_Osnd @t2456 @t465)) % 6.34/6.54 (define @t2626 () (tptp.c_Product__Type_Oapfst @t2456 @t30 @t465 @t1)) % 6.34/6.54 (define @t2627 () (@list @t378 @t1 @t2456 @t2 @t30 @t127 @t465)) % 6.34/6.54 (define @t2628 () (tptp.c_Orderings_Oord__class_Omax @t35)) % 6.34/6.54 (define @t2629 () (tptp.hAPP @t2628 @t135)) % 6.34/6.54 (define @t2630 () (tptp.hAPP @t2629 @t317)) % 6.34/6.54 (define @t2631 () (tptp.hAPP @t2629 @t136)) % 6.34/6.54 (define @t2632 () (tptp.hAPP (tptp.hAPP @t2628 @t2518) @t2549)) % 6.34/6.54 (define @t2633 () (tptp.hAPP @t2517 @t2630)) % 6.34/6.54 (define @t2634 () (tptp.hAPP @t2628 @t136)) % 6.34/6.54 (define @t2635 () (tptp.hAPP @t2634 @t317)) % 6.34/6.54 (define @t2636 () (tptp.hAPP @t2634 @t135)) % 6.34/6.54 (define @t2637 () (tptp.hAPP (tptp.hAPP @t2516 @t2636) @t2635)) % 6.34/6.54 (define @t2638 () (tptp.hAPP @t2634 @t2539)) % 6.34/6.54 (define @t2639 () (tptp.hAPP @t2628 @t278)) % 6.34/6.54 (define @t2640 () (tptp.hAPP @t2639 @t389)) % 6.34/6.54 (define @t2641 () (tptp.hBOOL (tptp.hAPP @t653 @t2640))) % 6.34/6.54 (define @t2642 () (tptp.hBOOL (tptp.hAPP @t653 @t389))) % 6.34/6.54 (define @t2643 () (@list @t278 @t389 @t136 @t35)) % 6.34/6.54 (define @t2644 () (tptp.c_Orderings_Oord__class_Omax @t30)) % 6.34/6.54 (define @t2645 () (tptp.hAPP @t2644 @t378)) % 6.34/6.54 (define @t2646 () (tptp.hAPP @t2645 @t696)) % 6.34/6.54 (define @t2647 () (tptp.hAPP @t937 @t628)) % 6.34/6.54 (define @t2648 () (and @t2523 @t2526)) % 6.34/6.54 (define @t2649 () (tptp.hBOOL (tptp.hAPP @t995 @t2640))) % 6.34/6.54 (define @t2650 () (tptp.hAPP @t930 @t2640)) % 6.34/6.54 (define @t2651 () (tptp.hBOOL (tptp.hAPP @t2650 @t136))) % 6.34/6.54 (define @t2652 () (not (=> @t2531 (not @t2533)))) % 6.34/6.54 (define @t2653 () (@list @t136 @t389 @t278 @t35)) % 6.34/6.54 (define @t2654 () (tptp.hAPP @t2621 @t10)) % 6.34/6.54 (define @t2655 () (tptp.hAPP @t2634 @t2630)) % 6.34/6.54 (define @t2656 () (tptp.hAPP @t2628 @t389)) % 6.34/6.54 (define @t2657 () (tptp.hAPP @t2639 (tptp.hAPP @t2656 @t111))) % 6.34/6.54 (define @t2658 () (tptp.c_Product__Type_OPair @t465 @t127)) % 6.34/6.54 (define @t2659 () (tptp.c_Product__Type_Oapfst @t465 @t30 @t127 @t2)) % 6.34/6.54 (define @t2660 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t465 @t127) @t378)) % 6.34/6.54 (define @t2661 () (tptp.hAPP @t2 @t2660)) % 6.34/6.54 (define @t2662 () (tptp.hAPP @t2659 @t378)) % 6.34/6.54 (define @t2663 () (tptp.hAPP (tptp.hAPP @t2644 @t2572) @t1688)) % 6.34/6.54 (define @t2664 () (tptp.class_Groups_Olinordered__ab__group__add @t35)) % 6.34/6.54 (define @t2665 () (tptp.c_Product__Type_Osnd @t465 @t2456)) % 6.34/6.54 (define @t2666 () (tptp.hAPP @t1 (tptp.hAPP @t2665 @t378))) % 6.34/6.54 (define @t2667 () (tptp.c_Product__Type_Ofst @t465 @t2456)) % 6.34/6.54 (define @t2668 () (tptp.hAPP @t2 (tptp.hAPP @t2667 @t378))) % 6.34/6.54 (define @t2669 () (@list @t378 @t1 @t2456 @t2 @t127 @t30 @t465)) % 6.34/6.54 (define @t2670 () (tptp.c_COMBC @t30 @t30 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2671 () (tptp.hAPP @t2670 @t937)) % 6.34/6.54 (define @t2672 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t322)) % 6.34/6.54 (define @t2673 () (@var "V_seed_2" $$unsorted)) % 6.34/6.54 (define @t2674 () (@var "V_size_2" $$unsorted)) % 6.34/6.54 (define @t2675 () (@var "V_nrandom_2" $$unsorted)) % 6.34/6.54 (define @t2676 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2474 @t2675) @t2674) @t2673)) % 6.34/6.54 (define @t2677 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t378)) % 6.34/6.54 (define @t2678 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t325)) % 6.34/6.54 (define @t2679 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t23)) % 6.34/6.54 (define @t2680 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t544)) % 6.34/6.54 (define @t2681 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t264)) % 6.34/6.54 (define @t2682 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t10)) % 6.34/6.54 (define @t2683 () (tptp.c_Nitpick_Ofrac @t35)) % 6.34/6.54 (define @t2684 () (tptp.tc_sum @t30 @t127)) % 6.34/6.54 (define @t2685 () (@list @t2 @t127 @t465 @t30)) % 6.34/6.54 (define @t2686 () (tptp.hAPP (tptp.hAPP @t2040 @t327) @t2032)) % 6.34/6.54 (define @t2687 () (tptp.tc_prod @t127 @t30)) % 6.34/6.54 (define @t2688 () (tptp.hAPP (tptp.c_Random_Oiterate @t127 @t30 @t327 @t2) @t378)) % 6.34/6.54 (define @t2689 () (= @t327 @t2029)) % 6.34/6.54 (define @t2690 () (not @t2689)) % 6.34/6.54 (define @t2691 () (@list @t378 @t2 @t30 @t127 @t327)) % 6.34/6.54 (define @t2692 () (@var "T_g" $$unsorted)) % 6.34/6.54 (define @t2693 () (tptp.tc_fun @t2692 @t127)) % 6.34/6.54 (define @t2694 () (tptp.tc_fun @t2456 @t127)) % 6.34/6.54 (define @t2695 () (tptp.tc_fun @t465 @t2694)) % 6.34/6.54 (define @t2696 () (tptp.tc_prod @t465 @t2456)) % 6.34/6.54 (define @t2697 () (@var "V_g2_2" $$unsorted)) % 6.34/6.54 (define @t2698 () (@var "V_g1_2" $$unsorted)) % 6.34/6.54 (define @t2699 () (tptp.c_Sum__Type_Osum_Osum__case @t30 @t465 @t127 @t2 @t1)) % 6.34/6.54 (define @t2700 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t127 @t465 @t2456 @t30) @t2) @t1) @t378)) % 6.34/6.54 (define @t2701 () (@list @t378 @t1 @t2 @t30 @t2456 @t465 @t127)) % 6.34/6.54 (define @t2702 () (tptp.c_Sum__Type_Osum_Osum__case @t127 @t30 @t465 @t37 @t44)) % 6.34/6.54 (define @t2703 () (tptp.c_Nitpick_Odenom @t30)) % 6.34/6.54 (define @t2704 () (tptp.hAPP @t2703 @t2033)) % 6.34/6.54 (define @t2705 () (tptp.hAPP @t2324 @t1347)) % 6.34/6.54 (define @t2706 () (tptp.c_Nitpick_Onum @t30)) % 6.34/6.54 (define @t2707 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2708 () (tptp.hAPP @t2703 @t1449)) % 6.34/6.54 (define @t2709 () (@list @t2033 @t1449 @t30)) % 6.34/6.54 (define @t2710 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t30)) % 6.34/6.54 (define @t2711 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2710) @t2) @t178)) % 6.34/6.54 (define @t2712 () (tptp.hAPP @t378 (tptp.hAPP (tptp.hAPP @t2040 @t178) @t2032))) % 6.34/6.54 (define @t2713 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t127 @t30 @t378 @t2) @t178)) % 6.34/6.54 (define @t2714 () (= @t178 @t2029)) % 6.34/6.54 (define @t2715 () (not @t2714)) % 6.34/6.54 (define @t2716 () (@list @t2 @t378 @t30 @t127 @t178)) % 6.34/6.54 (define @t2717 () (tptp.tc_Option_Ooption @t30)) % 6.34/6.54 (define @t2718 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2717)) % 6.34/6.54 (define @t2719 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2718) @t2) @t178)) % 6.34/6.54 (define @t2720 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t127 @t30 @t378 @t2) @t178)) % 6.34/6.54 (define @t2721 () (tptp.hAPP (tptp.hAPP @t25 @t140) @t64)) % 6.34/6.54 (define @t2722 () (tptp.c_Nitpick_Odenom @t35)) % 6.34/6.54 (define @t2723 () (tptp.hAPP @t2722 @t1105)) % 6.34/6.54 (define @t2724 () (tptp.c_Nitpick_Onum @t35)) % 6.34/6.54 (define @t2725 () (tptp.hAPP @t2724 @t1105)) % 6.34/6.54 (define @t2726 () (@list @t1105 @t35)) % 6.34/6.54 (define @t2727 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2710)) % 6.34/6.54 (define @t2728 () (tptp.tc_fun @t2618 @t2727)) % 6.34/6.54 (define @t2729 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2728)) % 6.34/6.54 (define @t2730 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t2618 @t2727) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2728) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2729) @t2) @t2675)) @t2674)) @t2673)) % 6.34/6.54 (define @t2731 () (@list @t2673 @t2674 @t2675 @t2 @t2474 @t30 @t127)) % 6.34/6.54 (define @t2732 () (tptp.hAPP @t2706 (tptp.c_Nitpick_Oplus__frac @t30 @t1449 (tptp.c_Nitpick_Ouminus__frac @t30 @t2033)))) % 6.34/6.54 (define @t2733 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2718)) % 6.34/6.54 (define @t2734 () (tptp.tc_fun @t2618 @t2733)) % 6.34/6.54 (define @t2735 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2734)) % 6.34/6.54 (define @t2736 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t2618 @t2733) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2734) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 tptp.tc_Code__Numeral_Ocode__numeral @t2735) @t2) @t2675)) @t2674)) @t2673)) % 6.34/6.54 (define @t2737 () (tptp.hAPP @t378 @t178)) % 6.34/6.54 (define @t2738 () (@list @t178 @t2 @t378 @t30 @t127)) % 6.34/6.54 (define @t2739 () (@var "V_i_1" $$unsorted)) % 6.34/6.54 (define @t2740 () (tptp.hAPP @t21 @t378)) % 6.34/6.54 (define @t2741 () (tptp.hBOOL (tptp.hAPP @t2740 @t696))) % 6.34/6.54 (define @t2742 () (tptp.tc_fun @t127 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2743 () (tptp.tc_fun @t30 @t2742)) % 6.34/6.54 (define @t2744 () (tptp.c_Orderings_Oord__class_Oless__eq @t2743)) % 6.34/6.54 (define @t2745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2744 @t27) @t21))) % 6.34/6.54 (define @t2746 () (tptp.hAPP @t27 @t378)) % 6.34/6.54 (define @t2747 () (tptp.hBOOL (tptp.hAPP @t2746 @t696))) % 6.34/6.54 (define @t2748 () (tptp.hBOOL @t2740)) % 6.34/6.54 (define @t2749 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t27) @t21))) % 6.34/6.54 (define @t2750 () (tptp.hBOOL @t2746)) % 6.34/6.54 (define @t2751 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2450 @t127 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2742 @t2450) @t27) @t2567)) @t2566)) % 6.34/6.54 (define @t2752 () (tptp.hAPP @t2414 @t27)) % 6.34/6.54 (define @t2753 () (@list @t27 @t127 @t30)) % 6.34/6.54 (define @t2754 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 6.34/6.54 (define @t2755 () (tptp.c_DSequence_Osingle @t30)) % 6.34/6.54 (define @t2756 () (tptp.tc_prod @t30 @t2754)) % 6.34/6.54 (define @t2757 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t2710)))) % 6.34/6.54 (define @t2758 () (tptp.tc_fun @t2757 @t2757)) % 6.34/6.54 (define @t2759 () (tptp.c_Product__Type_OPair @t2757 @t2618)) % 6.34/6.54 (define @t2760 () (tptp.tc_prod @t2757 @t2618)) % 6.34/6.54 (define @t2761 () (tptp.tc_fun @t2618 @t2760)) % 6.34/6.54 (define @t2762 () (tptp.tc_fun @t2757 @t2761)) % 6.34/6.54 (define @t2763 () (tptp.c_Random__Sequence_ORandom @t30 @t1 @t2675 @t2674)) % 6.34/6.54 (define @t2764 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2169 @t2675) @t2029))) % 6.34/6.54 (define @t2765 () (tptp.hAPP @t2759 (tptp.c_DSequence_Oempty @t30))) % 6.34/6.54 (define @t2766 () (tptp.hAPP @t6 @t412)) % 6.34/6.54 (define @t2767 () (tptp.c_Quickcheck_Obeyond @t322 @t558)) % 6.34/6.54 (define @t2768 () (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 @t2742 @t30) (tptp.hAPP (tptp.c_COMBB @t2450 tptp.tc_HOL_Obool @t127) @t27)) @t2411))) % 6.34/6.54 (define @t2769 () (tptp.hAPP @t2434 @t696)) % 6.34/6.54 (define @t2770 () (tptp.hAPP tptp.c_fequal @t696)) % 6.34/6.54 (define @t2771 () (tptp.hAPP tptp.c_fequal @t378)) % 6.34/6.54 (define @t2772 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 @t30)) % 6.34/6.54 (define @t2773 () (tptp.hAPP @t2772 tptp.c_fconj)) % 6.34/6.54 (define @t2774 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t127)) % 6.34/6.54 (define @t2775 () (tptp.tc_fun @t2742 @t2742)) % 6.34/6.54 (define @t2776 () (tptp.hAPP (tptp.c_COMBB @t2251 @t2775 @t30) @t2774)) % 6.34/6.54 (define @t2777 () (tptp.c_COMBC @t30 @t2742 @t2742)) % 6.34/6.54 (define @t2778 () (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP @t2777 (tptp.hAPP @t2776 (tptp.hAPP @t2773 @t2771))) @t2770))) % 6.34/6.54 (define @t2779 () (@list @t696 @t378 @t127 @t30)) % 6.34/6.54 (define @t2780 () (tptp.c_Random__Sequence_Osingle @t30)) % 6.34/6.54 (define @t2781 () (tptp.hAPP @t2670 tptp.c_fequal)) % 6.34/6.54 (define @t2782 () (tptp.hAPP @t2781 @t140)) % 6.34/6.54 (define @t2783 () (tptp.hAPP (tptp.hAPP @t2444 @t378) @t696)) % 6.34/6.54 (define @t2784 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t30 @t127 tptp.tc_HOL_Obool @t2) @t140) @t64))) % 6.34/6.54 (define @t2785 () (tptp.hBOOL (tptp.hAPP @t2 @t2413))) % 6.34/6.54 (define @t2786 () (tptp.hAPP @t2442 @t2)) % 6.34/6.54 (define @t2787 () (tptp.hAPP @t1235 @t4)) % 6.34/6.54 (define @t2788 () (tptp.c_member @t30)) % 6.34/6.54 (define @t2789 () (tptp.hAPP @t2788 @t4)) % 6.34/6.54 (define @t2790 () (tptp.hBOOL (tptp.hAPP @t2789 @t1473))) % 6.34/6.54 (define @t2791 () (tptp.c_Predicate_OPowp @t30 @t1235)) % 6.34/6.54 (define @t2792 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t2793 () (tptp.tc_fun @t49 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2794 () (tptp.c_Orderings_Obot__class_Obot @t2793)) % 6.34/6.54 (define @t2795 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate (tptp.tc_fun tptp.tc_Com_Oloc tptp.tc_Nat_Onat) tptp.tc_Com_Ostate) tptp.c_Natural_Osetlocs)) % 6.34/6.54 (define @t2796 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) % 6.34/6.54 (define @t2797 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Com_Ostate (tptp.tc_fun tptp.tc_Com_Ovname @t2796) tptp.tc_Com_Ostate) tptp.c_Natural_Oupdate)) % 6.34/6.54 (define @t2798 () (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ovname @t2796)) % 6.34/6.54 (define @t2799 () (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) % 6.34/6.54 (define @t2800 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2801 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_Com_Ostate)) % 6.34/6.54 (define @t2802 () (tptp.hAPP (tptp.c_COMBB @t2800 (tptp.tc_fun @t2801 @t2800) @t30) (tptp.c_COMBB tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_Com_Ostate))) % 6.34/6.54 (define @t2803 () (tptp.c_COMBC @t30 @t2801 @t2800)) % 6.34/6.54 (define @t2804 () (tptp.hAPP @t2803 (tptp.hAPP @t2802 @t27))) % 6.34/6.54 (define @t2805 () (@var "V_s_H_2" $$unsorted)) % 6.34/6.54 (define @t2806 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 tptp.tc_Com_Ostate) tptp.c_fconj)) % 6.34/6.54 (define @t2807 () (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2808 () (tptp.hAPP (tptp.c_COMBB @t2800 @t2800 @t30) (tptp.hAPP @t2807 (tptp.hAPP @t2806 (tptp.hAPP tptp.c_fequal @t2805))))) % 6.34/6.54 (define @t2809 () (tptp.c_Set_Oinsert @t49)) % 6.34/6.54 (define @t2810 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t2805)) % 6.34/6.54 (define @t2811 () (tptp.hAPP @t2803 (tptp.hAPP @t2802 @t21))) % 6.34/6.54 (define @t2812 () (tptp.hAPP @t2792 @t136)) % 6.34/6.54 (define @t2813 () (tptp.c_Rings_Odvd__class_Odvd @t35)) % 6.34/6.54 (define @t2814 () (tptp.hAPP @t2813 @t278)) % 6.34/6.54 (define @t2815 () (tptp.c_Orderings_Obot__class_Obot @t2371)) % 6.34/6.54 (define @t2816 () (tptp.hAPP @t2798 tptp.c_Natural_Oupdate)) % 6.34/6.54 (define @t2817 () (tptp.c_Set_Oinsert @t30)) % 6.34/6.54 (define @t2818 () (tptp.hAPP @t2817 @t378)) % 6.34/6.54 (define @t2819 () (tptp.hAPP @t2818 @t2815)) % 6.34/6.54 (define @t2820 () (= @t1235 @t2815)) % 6.34/6.54 (define @t2821 () (@list @t378 @t1235 @t30)) % 6.34/6.54 (define @t2822 () (tptp.hAPP @t2817 @t140)) % 6.34/6.54 (define @t2823 () (tptp.hAPP @t2822 @t1235)) % 6.34/6.54 (define @t2824 () (@list @t1235 @t140 @t30)) % 6.34/6.54 (define @t2825 () (tptp.hAPP @t2818 @t1235)) % 6.34/6.54 (define @t2826 () (@list @t1235 @t378 @t30)) % 6.34/6.54 (define @t2827 () (tptp.hAPP @t2817 @t696)) % 6.34/6.54 (define @t2828 () (tptp.hAPP @t2827 @t1235)) % 6.34/6.54 (define @t2829 () (@list @t1235 @t696 @t378 @t30)) % 6.34/6.54 (define @t2830 () (= @t64 @t819)) % 6.34/6.54 (define @t2831 () (= @t140 @t25)) % 6.34/6.54 (define @t2832 () (and @t2831 @t2830)) % 6.34/6.54 (define @t2833 () (tptp.hAPP @t2817 @t25)) % 6.34/6.54 (define @t2834 () (tptp.hAPP @t2817 @t64)) % 6.34/6.54 (define @t2835 () (tptp.hAPP @t2834 @t2815)) % 6.34/6.54 (define @t2836 () (tptp.hAPP @t2822 @t2835)) % 6.34/6.54 (define @t2837 () (tptp.hBOOL @t1236)) % 6.34/6.54 (define @t2838 () (= @t696 @t378)) % 6.34/6.54 (define @t2839 () (tptp.hAPP @t2822 @t2815)) % 6.34/6.54 (define @t2840 () (tptp.c_Rings_Odvd__class_Odvd @t30)) % 6.34/6.54 (define @t2841 () (tptp.hAPP @t2840 @t325)) % 6.34/6.54 (define @t2842 () (tptp.hBOOL (tptp.hAPP @t2841 @t327))) % 6.34/6.54 (define @t2843 () (@list @t327 @t325 @t30)) % 6.34/6.54 (define @t2844 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 @t34) @t2794))) % 6.34/6.54 (define @t2845 () (tptp.hBOOL (tptp.hAPP @t2814 @t111))) % 6.34/6.54 (define @t2846 () (tptp.hBOOL (tptp.hAPP @t2814 @t389))) % 6.34/6.54 (define @t2847 () (tptp.c_Orderings_Obot__class_Obot @t30)) % 6.34/6.54 (define @t2848 () (@list @t378 @t127 @t30)) % 6.34/6.54 (define @t2849 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t48)) % 6.34/6.54 (define @t2850 () (tptp.hAPP @t2809 @t69)) % 6.34/6.54 (define @t2851 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP @t2850 @t2794))) % 6.34/6.54 (define @t2852 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP @t2850 @t48))) % 6.34/6.54 (define @t2853 () (@list @t48 @t69 @t52 @t30)) % 6.34/6.54 (define @t2854 () (@var "V_G_H_2" $$unsorted)) % 6.34/6.54 (define @t2855 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t2854 @t48)) % 6.34/6.54 (define @t2856 () (@list @t52 @t48 @t2854 @t30)) % 6.34/6.54 (define @t2857 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t696) @t378))) % 6.34/6.54 (define @t2858 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t378) @t696))) % 6.34/6.54 (define @t2859 () (and @t2858 (not @t2857))) % 6.34/6.54 (define @t2860 () (tptp.hAPP @t2792 @t389)) % 6.34/6.54 (define @t2861 () (tptp.hBOOL (tptp.hAPP @t2860 @t278))) % 6.34/6.54 (define @t2862 () (tptp.hAPP @t2792 @t278)) % 6.34/6.54 (define @t2863 () (tptp.hBOOL (tptp.hAPP @t2862 @t389))) % 6.34/6.54 (define @t2864 () (and @t2863 (not @t2861))) % 6.34/6.54 (define @t2865 () (tptp.hBOOL (tptp.hAPP @t2812 @t135))) % 6.34/6.54 (define @t2866 () (tptp.hAPP @t2792 @t135)) % 6.34/6.54 (define @t2867 () (tptp.hBOOL (tptp.hAPP @t2866 @t136))) % 6.34/6.54 (define @t2868 () (and @t2865 (not @t2867))) % 6.34/6.54 (define @t2869 () (tptp.hBOOL (tptp.hAPP @t2862 @t111))) % 6.34/6.54 (define @t2870 () (tptp.hBOOL (tptp.hAPP @t2860 @t111))) % 6.34/6.54 (define @t2871 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t10) @t264))) % 6.34/6.54 (define @t2872 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t264) @t10))) % 6.34/6.54 (define @t2873 () (tptp.hBOOL (tptp.hAPP @t2812 @t317))) % 6.34/6.54 (define @t2874 () (tptp.hBOOL (tptp.hAPP @t2866 @t317))) % 6.34/6.54 (define @t2875 () (tptp.hAPP @t2792 @t111)) % 6.34/6.54 (define @t2876 () (and @t2869 (not (tptp.hBOOL (tptp.hAPP @t2875 @t278))))) % 6.34/6.54 (define @t2877 () (tptp.hAPP @t2792 @t317)) % 6.34/6.54 (define @t2878 () (and @t2873 (not (tptp.hBOOL (tptp.hAPP @t2877 @t136))))) % 6.34/6.54 (define @t2879 () (=> (and @t2874 (not (tptp.hBOOL (tptp.hAPP @t2877 @t135)))) @t2878)) % 6.34/6.54 (define @t2880 () (tptp.hAPP @t2813 @t389)) % 6.34/6.54 (define @t2881 () (tptp.hBOOL (tptp.hAPP @t2880 @t111))) % 6.34/6.54 (define @t2882 () (tptp.c_Divides_Odiv__class_Odiv @t30)) % 6.34/6.54 (define @t2883 () (tptp.hAPP (tptp.hAPP @t2882 @t64) @t140)) % 6.34/6.54 (define @t2884 () (tptp.hAPP @t2840 @t140)) % 6.34/6.54 (define @t2885 () (tptp.hBOOL (tptp.hAPP @t2884 @t64))) % 6.34/6.54 (define @t2886 () (tptp.class_Divides_Osemiring__div @t30)) % 6.34/6.54 (define @t2887 () (tptp.hAPP @t1654 @t10)) % 6.34/6.54 (define @t2888 () (tptp.hAPP @t2813 @t2013)) % 6.34/6.54 (define @t2889 () (tptp.hAPP @t2813 @t136)) % 6.34/6.54 (define @t2890 () (tptp.hBOOL (tptp.hAPP @t2889 @t135))) % 6.34/6.54 (define @t2891 () (tptp.hAPP @t2813 @t322)) % 6.34/6.54 (define @t2892 () (tptp.hBOOL (tptp.hAPP @t2891 @t264))) % 6.34/6.54 (define @t2893 () (tptp.hBOOL (tptp.hAPP @t2891 @t10))) % 6.34/6.54 (define @t2894 () (tptp.hBOOL (tptp.hAPP @t2891 (tptp.c_Divides_Odiv__class_Omod @t35 @t264 @t10)))) % 6.34/6.54 (define @t2895 () (@list @t10 @t264 @t322 @t35)) % 6.34/6.54 (define @t2896 () (tptp.hAPP @t2813 @t111)) % 6.34/6.54 (define @t2897 () (tptp.hBOOL (tptp.hAPP @t2896 @t389))) % 6.34/6.54 (define @t2898 () (tptp.hAPP @t2840 @t327)) % 6.34/6.54 (define @t2899 () (tptp.hBOOL (tptp.hAPP @t2814 @t760))) % 6.34/6.54 (define @t2900 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t737) @t111))) % 6.34/6.54 (define @t2901 () (tptp.c_Orderings_Oord__class_Oless__eq @t2793)) % 6.34/6.54 (define @t2902 () (tptp.hAPP @t2901 @t48)) % 6.34/6.54 (define @t2903 () (@var "V_ts_H_2" $$unsorted)) % 6.34/6.54 (define @t2904 () (tptp.hAPP @t2792 @t322)) % 6.34/6.54 (define @t2905 () (tptp.hBOOL (tptp.hAPP @t2904 @t1461))) % 6.34/6.54 (define @t2906 () (tptp.hBOOL (tptp.hAPP @t2904 @t10))) % 6.34/6.54 (define @t2907 () (tptp.hBOOL (tptp.hAPP @t2904 @t264))) % 6.34/6.54 (define @t2908 () (tptp.hAPP @t2372 @t2588)) % 6.34/6.54 (define @t2909 () (tptp.hAPP @t2834 @t1473)) % 6.34/6.54 (define @t2910 () (tptp.hAPP @t2822 @t1473)) % 6.34/6.54 (define @t2911 () (tptp.hAPP @t2792 @t327)) % 6.34/6.54 (define @t2912 () (tptp.hAPP @t2840 @t378)) % 6.34/6.54 (define @t2913 () (tptp.hBOOL (tptp.hAPP @t2912 @t696))) % 6.34/6.54 (define @t2914 () (tptp.class_Rings_Ocomm__ring__1 @t30)) % 6.34/6.54 (define @t2915 () (tptp.tc_fun tptp.tc_Com_Ostate @t2251)) % 6.34/6.54 (define @t2916 () (@list @t25 @t64 @t27 @t52 @t30)) % 6.34/6.54 (define @t2917 () (tptp.hAPP @t2584 @t2910)) % 6.34/6.54 (define @t2918 () (@list @t1473 @t140 @t1235 @t30)) % 6.34/6.54 (define @t2919 () (tptp.hAPP @t2584 @t2839)) % 6.34/6.54 (define @t2920 () (tptp.hAPP @t2822 @t2919)) % 6.34/6.54 (define @t2921 () (tptp.hAPP @t2792 @t325)) % 6.34/6.54 (define @t2922 () (tptp.hAPP @t2809 @t213)) % 6.34/6.54 (define @t2923 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP @t2922 @t2794))) % 6.34/6.54 (define @t2924 () (tptp.hAPP (tptp.hAPP @t2809 @t216) @t2794)) % 6.34/6.54 (define @t2925 () (tptp.c_Orderings_Obot__class_Obot @t35)) % 6.34/6.54 (define @t2926 () (or @t2070 @t2885)) % 6.34/6.54 (define @t2927 () (tptp.hAPP @t1382 @t136)) % 6.34/6.54 (define @t2928 () (tptp.hAPP @t2813 @t317)) % 6.34/6.54 (define @t2929 () (tptp.hAPP @t1382 @t389)) % 6.34/6.54 (define @t2930 () (tptp.hAPP @t2929 @t278)) % 6.34/6.54 (define @t2931 () (tptp.hAPP @t730 @t2930)) % 6.34/6.54 (define @t2932 () (tptp.hAPP @t2927 @t135)) % 6.34/6.54 (define @t2933 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t135) @t136))) % 6.34/6.54 (define @t2934 () (tptp.hAPP @t721 @t2932)) % 6.34/6.54 (define @t2935 () (tptp.hAPP @t2813 @t1742)) % 6.34/6.54 (define @t2936 () (tptp.hAPP @t2816 (tptp.c_Com_Ovname_OLoc @t164))) % 6.34/6.54 (define @t2937 () (tptp.hBOOL (tptp.hAPP @t2921 @t23))) % 6.34/6.54 (define @t2938 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t971) @t970))) % 6.34/6.54 (define @t2939 () (tptp.hAPP @t354 @t4)) % 6.34/6.54 (define @t2940 () (tptp.class_Rings_Osemiring__0 @t30)) % 6.34/6.54 (define @t2941 () (tptp.class_Rings_Odvd @t30)) % 6.34/6.54 (define @t2942 () (tptp.hAPP @t2840 @t819)) % 6.34/6.54 (define @t2943 () (@list @t4 @t595)) % 6.34/6.54 (define @t2944 () (tptp.tc_fun @t2371 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2945 () (tptp.c_Orderings_Oord__class_Oless__eq @t2944)) % 6.34/6.54 (define @t2946 () (tptp.c_COMBC @t30 @t2371 @t2371)) % 6.34/6.54 (define @t2947 () (tptp.hAPP (tptp.hAPP @t2946 @t2817) @t2815)) % 6.34/6.54 (define @t2948 () (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t30)) % 6.34/6.54 (define @t2949 () (tptp.hAPP @t431 @t378)) % 6.34/6.54 (define @t2950 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2951 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 tptp.tc_Nat_Onat) tptp.c_fconj)) % 6.34/6.54 (define @t2952 () (tptp.tc_fun tptp.tc_Nat_Onat @t2251)) % 6.34/6.54 (define @t2953 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t2954 () (tptp.tc_fun @t2246 @t2246)) % 6.34/6.54 (define @t2955 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t2246 @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2952 @t2954 tptp.tc_Nat_Onat) @t2953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 @t2952 tptp.tc_Nat_Onat) @t2951) @t2792))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 @t2246 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 @t2950 @t2792)))) % 6.34/6.54 (define @t2956 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t30 @t2955 @t2)) % 6.34/6.54 (define @t2957 () (@list @t696 @t378 @t2 @t30)) % 6.34/6.54 (define @t2958 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t668) @t2433))) % 6.34/6.54 (define @t2959 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t30 @t2792 @t2)) % 6.34/6.54 (define @t2960 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 6.34/6.54 (define @t2961 () (tptp.hAPP @t2960 @t322)) % 6.34/6.54 (define @t2962 () (=> (tptp.hBOOL (tptp.hAPP @t2961 @t10)) (tptp.hBOOL (tptp.hAPP @t2961 @t264)))) % 6.34/6.54 (define @t2963 () (@var "V_f" $$unsorted)) % 6.34/6.54 (define @t2964 () (tptp.hAPP @t2960 @t2963)) % 6.34/6.54 (define @t2965 () (tptp.hAPP @t2960 @t819)) % 6.34/6.54 (define @t2966 () (tptp.hBOOL (tptp.hAPP @t2965 @t69))) % 6.34/6.54 (define @t2967 () (@list @t69 @t819)) % 6.34/6.54 (define @t2968 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t10) @t264))) % 6.34/6.54 (define @t2969 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t264) @t10))) % 6.34/6.54 (define @t2970 () (tptp.hAPP @t1329 @t325)) % 6.34/6.54 (define @t2971 () (tptp.hAPP @t2960 @t140)) % 6.34/6.54 (define @t2972 () (tptp.hAPP @t2960 @t327)) % 6.34/6.54 (define @t2973 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t699) @t698))) % 6.34/6.54 (define @t2974 () (tptp.hAPP @t2960 @t378)) % 6.34/6.54 (define @t2975 () (@list @t2 @t30)) % 6.34/6.54 (define @t2976 () (tptp.hAPP @t1635 @t378)) % 6.34/6.54 (define @t2977 () (tptp.hAPP @t1635 @t696)) % 6.34/6.54 (define @t2978 () (tptp.hAPP tptp.c_Int_Onat @t1728)) % 6.34/6.54 (define @t2979 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t628) @t634))) % 6.34/6.54 (define @t2980 () (@list @t325 @t628)) % 6.34/6.54 (define @t2981 () (@var "V_xo_2" $$unsorted)) % 6.34/6.54 (define @t2982 () (tptp.c_Option_Oset @t30 @t2981)) % 6.34/6.54 (define @t2983 () (tptp.c_COMBK @t2800 @t30)) % 6.34/6.54 (define @t2984 () (@var "V_Q_H_2" $$unsorted)) % 6.34/6.54 (define @t2985 () (@var "V_P_H_2" $$unsorted)) % 6.34/6.54 (define @t2986 () (tptp.hAPP @t2788 @t378)) % 6.34/6.54 (define @t2987 () (tptp.hBOOL (tptp.hAPP @t2986 @t1235))) % 6.34/6.54 (define @t2988 () (not @t2987)) % 6.34/6.54 (define @t2989 () (=> @t2988 @t2503)) % 6.34/6.54 (define @t2990 () (tptp.hAPP @t2584 @t2819)) % 6.34/6.54 (define @t2991 () (tptp.hBOOL (tptp.hAPP @t2986 @t1473))) % 6.34/6.54 (define @t2992 () (not @t2991)) % 6.34/6.54 (define @t2993 () (tptp.hAPP @t2818 @t1473)) % 6.34/6.54 (define @t2994 () (@list @t1473 @t378 @t1235 @t30)) % 6.34/6.54 (define @t2995 () (tptp.hAPP @t2788 @t25)) % 6.34/6.54 (define @t2996 () (tptp.hBOOL (tptp.hAPP @t2995 @t1473))) % 6.34/6.54 (define @t2997 () (tptp.hBOOL (tptp.hAPP @t2995 @t1235))) % 6.34/6.54 (define @t2998 () (not @t2997)) % 6.34/6.54 (define @t2999 () (=> @t2998 @t2996)) % 6.34/6.54 (define @t3000 () (not @t2996)) % 6.34/6.54 (define @t3001 () (=> @t2997 @t3000)) % 6.34/6.54 (define @t3002 () (tptp.hAPP @t2788 @t140)) % 6.34/6.54 (define @t3003 () (tptp.hBOOL (tptp.hAPP @t3002 @t1235))) % 6.34/6.54 (define @t3004 () (tptp.hAPP @t2834 @t1235)) % 6.34/6.54 (define @t3005 () (tptp.hBOOL (tptp.hAPP @t3002 @t3004))) % 6.34/6.54 (define @t3006 () (@list @t1235 @t64 @t140 @t30)) % 6.34/6.54 (define @t3007 () (tptp.hBOOL (tptp.hAPP @t3002 @t2909))) % 6.34/6.54 (define @t3008 () (tptp.hBOOL (tptp.hAPP @t3002 @t1473))) % 6.34/6.54 (define @t3009 () (not @t3008)) % 6.34/6.54 (define @t3010 () (@list @t64 @t1473 @t140 @t30)) % 6.34/6.54 (define @t3011 () (=> @t2997 @t2996)) % 6.34/6.54 (define @t3012 () (@list @t25 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t3013 () (tptp.hBOOL (tptp.hAPP @t2995 @t2585))) % 6.34/6.54 (define @t3014 () (@list @t1473 @t1235 @t25 @t30)) % 6.34/6.54 (define @t3015 () (tptp.hBOOL (tptp.hAPP @t2995 @t2600))) % 6.34/6.54 (define @t3016 () (@list @t1235 @t25 @t30)) % 6.34/6.54 (define @t3017 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t465 @t2371) @t25)) % 6.34/6.54 (define @t3018 () (tptp.hAPP @t2788 @t628)) % 6.34/6.54 (define @t3019 () (@list @t1473 @t140 @t30)) % 6.34/6.54 (define @t3020 () (tptp.hBOOL (tptp.hAPP @t2789 @t1235))) % 6.34/6.54 (define @t3021 () (not @t3020)) % 6.34/6.54 (define @t3022 () (not @t2820)) % 6.34/6.54 (define @t3023 () (exists @t8 @t3020)) % 6.34/6.54 (define @t3024 () (or @t759 @t3003)) % 6.34/6.54 (define @t3025 () (@list @t1473 @t1235 @t378 @t30)) % 6.34/6.54 (define @t3026 () (not @t3003)) % 6.34/6.54 (define @t3027 () (@list @t378 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t3028 () (@var "V_S_2" $$unsorted)) % 6.34/6.54 (define @t3029 () (= @t2474 @t3028)) % 6.34/6.54 (define @t3030 () (tptp.hAPP (tptp.c_COMBC @t30 @t2371 tptp.tc_HOL_Obool) @t2788)) % 6.34/6.54 (define @t3031 () (tptp.hAPP @t3030 @t3028)) % 6.34/6.54 (define @t3032 () (tptp.hAPP @t3030 @t2474)) % 6.34/6.54 (define @t3033 () (@list @t3028 @t2474 @t30)) % 6.34/6.54 (define @t3034 () (tptp.hAPP @t2788 @t696)) % 6.34/6.54 (define @t3035 () (tptp.hBOOL (tptp.hAPP @t3034 @t1235))) % 6.34/6.54 (define @t3036 () (tptp.hAPP @t2788 @t64)) % 6.34/6.54 (define @t3037 () (tptp.hBOOL (tptp.hAPP @t3036 @t1235))) % 6.34/6.54 (define @t3038 () (@list @t1235 @t30 @t64 @t140)) % 6.34/6.54 (define @t3039 () (tptp.c_member @t2450)) % 6.34/6.54 (define @t3040 () (tptp.tc_fun @t2450 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3041 () (tptp.tc_fun @t3040 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3042 () (tptp.tc_fun @t127 @t3041)) % 6.34/6.54 (define @t3043 () (tptp.hAPP (tptp.c_COMBC @t30 @t3040 @t2742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3042 (tptp.tc_fun @t3040 @t2742) @t30) (tptp.c_COMBC @t127 @t3040 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 @t3042 @t30) (tptp.hAPP (tptp.c_COMBB @t2450 @t3041 @t127) @t3039)) @t2411)))) % 6.34/6.54 (define @t3044 () (tptp.hAPP @t3043 @t3028)) % 6.34/6.54 (define @t3045 () (tptp.hAPP @t3043 @t2474)) % 6.34/6.54 (define @t3046 () (@list @t3028 @t2474 @t127 @t30)) % 6.34/6.54 (define @t3047 () (tptp.c_Orderings_Obot__class_Obot @t3040)) % 6.34/6.54 (define @t3048 () (tptp.hAPP @t3039 @t2769)) % 6.34/6.54 (define @t3049 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2743) @t378) @t696))) % 6.34/6.54 (define @t3050 () (= @t64 @t140)) % 6.34/6.54 (define @t3051 () (tptp.hBOOL (tptp.hAPP @t3036 @t2839))) % 6.34/6.54 (define @t3052 () (tptp.hBOOL (tptp.hAPP @t2502 @t2993))) % 6.34/6.54 (define @t3053 () (tptp.hAPP @t2583 @t2825)) % 6.34/6.54 (define @t3054 () (tptp.hAPP @t3053 @t1473)) % 6.34/6.54 (define @t3055 () (=> @t2991 (= @t3054 @t2585))) % 6.34/6.54 (define @t3056 () (@list @t1235 @t1473 @t378 @t30)) % 6.34/6.54 (define @t3057 () (tptp.c_Orderings_Oord__class_Oless__eq @t3040)) % 6.34/6.54 (define @t3058 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2990) @t1473))) % 6.34/6.54 (define @t3059 () (tptp.hAPP @t668 @t696)) % 6.34/6.54 (define @t3060 () (@list @t696 @t628 @t2 @t127 @t1235 @t378 @t30)) % 6.34/6.54 (define @t3061 () (tptp.c_Product__Type_OPair @t30 @t30)) % 6.34/6.54 (define @t3062 () (tptp.hAPP @t3061 @t4)) % 6.34/6.54 (define @t3063 () (tptp.hAPP @t3062 @t4)) % 6.34/6.54 (define @t3064 () (tptp.tc_prod @t30 @t30)) % 6.34/6.54 (define @t3065 () (tptp.c_member @t3064)) % 6.34/6.54 (define @t3066 () (tptp.hAPP @t3065 @t3063)) % 6.34/6.54 (define @t3067 () (tptp.hBOOL (tptp.hAPP @t3066 @t2033))) % 6.34/6.54 (define @t3068 () (tptp.c_Partial__Function_Oflat__lub @t30 @t64 @t1235)) % 6.34/6.54 (define @t3069 () (tptp.hBOOL (tptp.hAPP @t2502 @t2835))) % 6.34/6.54 (define @t3070 () (@list @t64 @t1235 @t30)) % 6.34/6.54 (define @t3071 () (tptp.tc_fun @t3064 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3072 () (tptp.c_Orderings_Oord__class_Oless__eq @t3071)) % 6.34/6.54 (define @t3073 () (tptp.c_Orderings_Obot__class_Obot @t3071)) % 6.34/6.54 (define @t3074 () (@list @t628 @t2 @t127 @t30)) % 6.34/6.54 (define @t3075 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t668) @t2433))) % 6.34/6.54 (define @t3076 () (tptp.c_Wellfounded_Omeasure @t30)) % 6.34/6.54 (define @t3077 () (tptp.hAPP @t3076 @t2)) % 6.34/6.54 (define @t3078 () (tptp.hAPP @t3061 @t378)) % 6.34/6.54 (define @t3079 () (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t696))) % 6.34/6.54 (define @t3080 () (tptp.c_Wellfounded_Omlex__prod @t30 @t2 @t2474)) % 6.34/6.54 (define @t3081 () (tptp.hBOOL (tptp.hAPP @t3079 @t3080))) % 6.34/6.54 (define @t3082 () (tptp.hBOOL (tptp.hAPP @t3079 @t2474))) % 6.34/6.54 (define @t3083 () (@list @t2474 @t30 @t696 @t378 @t2)) % 6.34/6.54 (define @t3084 () (tptp.c_Nat_Osemiring__1__class_ONats @t30)) % 6.34/6.54 (define @t3085 () (tptp.hAPP @t2788 @t1628)) % 6.34/6.54 (define @t3086 () (tptp.hAPP @t2788 @t352)) % 6.34/6.54 (define @t3087 () (tptp.hAPP @t2788 @t399)) % 6.34/6.54 (define @t3088 () (tptp.hBOOL (tptp.hAPP @t3036 @t3084))) % 6.34/6.54 (define @t3089 () (tptp.hBOOL (tptp.hAPP @t3002 @t3084))) % 6.34/6.54 (define @t3090 () (tptp.hAPP @t2788 @t803)) % 6.34/6.54 (define @t3091 () (tptp.hAPP @t2788 @t926)) % 6.34/6.54 (define @t3092 () (tptp.hAPP @t2788 @t617)) % 6.34/6.54 (define @t3093 () (tptp.hAPP @t354 @t926)) % 6.34/6.54 (define @t3094 () (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t3093 @t140)) @t140)) % 6.34/6.54 (define @t3095 () (tptp.c_Int_Oring__1__class_OInts @t30)) % 6.34/6.54 (define @t3096 () (tptp.hBOOL (tptp.hAPP @t3002 @t3095))) % 6.34/6.54 (define @t3097 () (tptp.hAPP @t2817 @t4)) % 6.34/6.54 (define @t3098 () (tptp.hAPP @t3097 @t2815)) % 6.34/6.54 (define @t3099 () (tptp.hAPP (tptp.hAPP @t88 @t84) @t112)) % 6.34/6.54 (define @t3100 () (= @t83 @t2815)) % 6.34/6.54 (define @t3101 () (tptp.c_Product__Type_OPair @t127 @t127)) % 6.34/6.54 (define @t3102 () (tptp.tc_prod @t127 @t127)) % 6.34/6.54 (define @t3103 () (tptp.c_member @t3102)) % 6.34/6.54 (define @t3104 () (tptp.hAPP @t3061 @t140)) % 6.34/6.54 (define @t3105 () (tptp.c_Product__Type_OPair @t2450 @t2450)) % 6.34/6.54 (define @t3106 () (tptp.c_member (tptp.tc_prod @t2450 @t2450))) % 6.34/6.54 (define @t3107 () (tptp.c_Product__Type_OPair @t2422 @t2422)) % 6.34/6.54 (define @t3108 () (tptp.tc_prod @t2422 @t2422)) % 6.34/6.54 (define @t3109 () (tptp.c_member @t3108)) % 6.34/6.54 (define @t3110 () (tptp.hAPP @t3109 (tptp.hAPP (tptp.hAPP @t3107 (tptp.hAPP (tptp.hAPP @t2204 @t140) @t61)) (tptp.hAPP (tptp.hAPP @t2204 @t64) @t69)))) % 6.34/6.54 (define @t3111 () (tptp.hBOOL (tptp.hAPP @t3110 tptp.c_FunDef_Opair__less))) % 6.34/6.54 (define @t3112 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t140) @t64))) % 6.34/6.54 (define @t3113 () (@list @t69 @t61 @t64 @t140)) % 6.34/6.54 (define @t3114 () (tptp.hBOOL (tptp.hAPP @t3036 @t3095))) % 6.34/6.54 (define @t3115 () (tptp.c_Recdef_Osame__fst @t30 @t127 @t27 @t2474)) % 6.34/6.54 (define @t3116 () (@var "V_y_H_2" $$unsorted)) % 6.34/6.54 (define @t3117 () (tptp.hAPP @t2474 @t378)) % 6.34/6.54 (define @t3118 () (tptp.hBOOL (tptp.hAPP @t3110 tptp.c_FunDef_Opair__leq))) % 6.34/6.54 (define @t3119 () (tptp.c_Set_Oinsert @t2422)) % 6.34/6.54 (define @t3120 () (tptp.hAPP @t3119 @t378)) % 6.34/6.54 (define @t3121 () (tptp.tc_fun @t2422 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3122 () (tptp.c_Product__Type_OPair @t3121 @t3121)) % 6.34/6.54 (define @t3123 () (tptp.tc_prod @t3121 @t3121)) % 6.34/6.54 (define @t3124 () (tptp.c_member @t3123)) % 6.34/6.54 (define @t3125 () (tptp.hAPP @t3122 @t164)) % 6.34/6.54 (define @t3126 () (tptp.hAPP @t3109 (tptp.hAPP (tptp.hAPP @t3107 @t378) @t696))) % 6.34/6.54 (define @t3127 () (tptp.hBOOL (tptp.hAPP @t3126 tptp.c_FunDef_Opair__less))) % 6.34/6.54 (define @t3128 () (tptp.c_member @t2422)) % 6.34/6.54 (define @t3129 () (tptp.hAPP @t3128 @t696)) % 6.34/6.54 (define @t3130 () (@var "V_YS_2" $$unsorted)) % 6.34/6.54 (define @t3131 () (tptp.hAPP @t3119 @t696)) % 6.34/6.54 (define @t3132 () (@var "V_XS_2" $$unsorted)) % 6.34/6.54 (define @t3133 () (tptp.hAPP @t3122 @t3132)) % 6.34/6.54 (define @t3134 () (tptp.hAPP @t3124 (tptp.hAPP @t3133 (tptp.hAPP @t3131 @t3130)))) % 6.34/6.54 (define @t3135 () (tptp.hAPP @t3124 (tptp.hAPP @t3133 @t3130))) % 6.34/6.54 (define @t3136 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3128 @t378) @t3132))) % 6.34/6.54 (define @t3137 () (@list @t3130 @t696 @t3132 @t378)) % 6.34/6.54 (define @t3138 () (tptp.c_Orderings_Obot__class_Obot @t3121)) % 6.34/6.54 (define @t3139 () (tptp.hAPP @t3124 (tptp.hAPP @t3125 @t3138))) % 6.34/6.54 (define @t3140 () (@list @t164)) % 6.34/6.54 (define @t3141 () (tptp.hBOOL (tptp.hAPP @t3126 tptp.c_FunDef_Opair__leq))) % 6.34/6.54 (define @t3142 () (tptp.tc_fun @t3123 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3143 () (tptp.hAPP @t3122 @t3138)) % 6.34/6.54 (define @t3144 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3123) (tptp.hAPP @t3143 @t3138)) (tptp.c_Orderings_Obot__class_Obot @t3142))) % 6.34/6.54 (define @t3145 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3142)) % 6.34/6.54 (define @t3146 () (tptp.c_Product__Type_OPair @t3142 @t3142)) % 6.34/6.54 (define @t3147 () (tptp.hBOOL @t1474)) % 6.34/6.54 (define @t3148 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2371)) % 6.34/6.54 (define @t3149 () (tptp.hAPP @t3148 @t1235)) % 6.34/6.54 (define @t3150 () (tptp.hAPP @t3149 @t1473)) % 6.34/6.54 (define @t3151 () (tptp.hBOOL (tptp.hAPP @t3150 @t378))) % 6.34/6.54 (define @t3152 () (not @t3147)) % 6.34/6.54 (define @t3153 () (tptp.hBOOL (tptp.hAPP @t2995 @t3150))) % 6.34/6.54 (define @t3154 () (@list @t1235 @t1473 @t25 @t30)) % 6.34/6.54 (define @t3155 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t30)) % 6.34/6.54 (define @t3156 () (tptp.hAPP @t3155 @t378)) % 6.34/6.54 (define @t3157 () (tptp.hAPP @t3156 @t696)) % 6.34/6.54 (define @t3158 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t35)) % 6.34/6.54 (define @t3159 () (tptp.hAPP @t3158 @t136)) % 6.34/6.54 (define @t3160 () (tptp.class_Lattices_Obounded__lattice__bot @t35)) % 6.34/6.54 (define @t3161 () (= @t1473 @t2815)) % 6.34/6.54 (define @t3162 () (@list @t1473 @t30)) % 6.34/6.54 (define @t3163 () (tptp.hAPP @t3158 @t278)) % 6.34/6.54 (define @t3164 () (tptp.hAPP @t3163 @t389)) % 6.34/6.54 (define @t3165 () (tptp.hAPP @t930 @t3164)) % 6.34/6.54 (define @t3166 () (tptp.hBOOL (tptp.hAPP @t3165 @t136))) % 6.34/6.54 (define @t3167 () (tptp.class_Lattices_Osemilattice__sup @t35)) % 6.34/6.54 (define @t3168 () (tptp.hAPP @t3158 @t135)) % 6.34/6.54 (define @t3169 () (tptp.hAPP @t3168 @t317)) % 6.34/6.54 (define @t3170 () (tptp.hAPP @t3159 @t135)) % 6.34/6.54 (define @t3171 () (tptp.hBOOL (tptp.hAPP @t995 @t3164))) % 6.34/6.54 (define @t3172 () (tptp.class_Lattices_Osemilattice__sup @t30)) % 6.34/6.54 (define @t3173 () (tptp.hBOOL (tptp.hAPP @t940 @t3170))) % 6.34/6.54 (define @t3174 () (tptp.class_Lattices_Olattice @t35)) % 6.34/6.54 (define @t3175 () (tptp.hBOOL (tptp.hAPP @t995 @t3170))) % 6.34/6.54 (define @t3176 () (tptp.hAPP @t3148 @t2588)) % 6.34/6.54 (define @t3177 () (tptp.hAPP @t2372 @t3150)) % 6.34/6.54 (define @t3178 () (tptp.hBOOL (tptp.hAPP @t2500 @t2587))) % 6.34/6.54 (define @t3179 () (@list @t2587 @t1473 @t2588 @t1235 @t30)) % 6.34/6.54 (define @t3180 () (@list @t1473 @t2588 @t1235 @t30)) % 6.34/6.54 (define @t3181 () (@list @t1235 @t1473 @t30)) % 6.34/6.54 (define @t3182 () (= @t3150 @t1473)) % 6.34/6.54 (define @t3183 () (tptp.hAPP @t2591 @t1235)) % 6.34/6.54 (define @t3184 () (tptp.hAPP @t3149 @t3183)) % 6.34/6.54 (define @t3185 () (tptp.hAPP @t3148 @t1473)) % 6.34/6.54 (define @t3186 () (tptp.hAPP @t3185 @t1235)) % 6.34/6.54 (define @t3187 () (tptp.hAPP @t2591 @t2588)) % 6.34/6.54 (define @t3188 () (tptp.hAPP @t2584 @t2588)) % 6.34/6.54 (define @t3189 () (tptp.hAPP @t3149 @t2588)) % 6.34/6.54 (define @t3190 () (tptp.hAPP @t3185 @t2588)) % 6.34/6.54 (define @t3191 () (tptp.hAPP @t3149 @t3190)) % 6.34/6.54 (define @t3192 () (tptp.hBOOL (tptp.hAPP @t2789 @t3150))) % 6.34/6.54 (define @t3193 () (@list @t27 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t3194 () (= (tptp.hAPP @t3159 @t136) @t136)) % 6.34/6.54 (define @t3195 () (tptp.hAPP @t3158 @t389)) % 6.34/6.54 (define @t3196 () (tptp.hAPP @t3168 @t136)) % 6.34/6.54 (define @t3197 () (= @t3170 @t3196)) % 6.34/6.54 (define @t3198 () (= (tptp.hAPP @t3159 @t3170) @t3170)) % 6.34/6.54 (define @t3199 () (tptp.hAPP @t3163 (tptp.hAPP @t3195 @t111))) % 6.34/6.54 (define @t3200 () (tptp.hAPP @t3159 @t317)) % 6.34/6.54 (define @t3201 () (tptp.hAPP @t3159 @t3169)) % 6.34/6.54 (define @t3202 () (= @t3201 (tptp.hAPP @t3168 @t3200))) % 6.34/6.54 (define @t3203 () (= (tptp.hAPP (tptp.hAPP @t3158 @t3170) @t317) @t3201)) % 6.34/6.54 (define @t3204 () (tptp.class_Lattices_Olattice @t30)) % 6.34/6.54 (define @t3205 () (@list @t378 @t1 @t2 @t127 @t30)) % 6.34/6.54 (define @t3206 () (tptp.hBOOL (tptp.hAPP @t653 @t3164))) % 6.34/6.54 (define @t3207 () (@list @t378 @t3028 @t2474 @t30)) % 6.34/6.54 (define @t3208 () (tptp.hAPP @t3148 @t2600)) % 6.34/6.54 (define @t3209 () (tptp.tc_prod tptp.tc_Nat_Onat @t30)) % 6.34/6.54 (define @t3210 () (tptp.hAPP (tptp.hAPP @t301 @t1586) @t696)) % 6.34/6.54 (define @t3211 () (tptp.hAPP @t301 @t378)) % 6.34/6.54 (define @t3212 () (tptp.hAPP @t3211 @t1684)) % 6.34/6.54 (define @t3213 () (tptp.hAPP (tptp.hAPP @t2204 @t1586) @t1684)) % 6.34/6.54 (define @t3214 () (@list @t1684 @t1586 @t696 @t378)) % 6.34/6.54 (define @t3215 () (tptp.c_FunDef_Orp__inv__image @t30 @t127)) % 6.34/6.54 (define @t3216 () (tptp.c_FunDef_Oreduction__pair @t30 @t27)) % 6.34/6.54 (define @t3217 () (@list @t2 @t127 @t27 @t30)) % 6.34/6.54 (define @t3218 () (tptp.c_Relation_Oinv__image @t30 @t127)) % 6.34/6.54 (define @t3219 () (tptp.tc_fun @t3102 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3220 () (tptp.tc_prod @t3219 @t3219)) % 6.34/6.54 (define @t3221 () (tptp.tc_fun @t3219 @t3220)) % 6.34/6.54 (define @t3222 () (tptp.tc_fun @t1237 @t3221)) % 6.34/6.54 (define @t3223 () (tptp.tc_fun @t1237 @t3219)) % 6.34/6.54 (define @t3224 () (tptp.tc_fun @t1237 @t3220)) % 6.34/6.54 (define @t3225 () (tptp.tc_fun @t3223 @t3224)) % 6.34/6.54 (define @t3226 () (tptp.tc_fun @t3071 @t3224)) % 6.34/6.54 (define @t3227 () (tptp.tc_fun @t3071 @t3223)) % 6.34/6.54 (define @t3228 () (@list @t127 @t30)) % 6.34/6.54 (define @t3229 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3040)) % 6.34/6.54 (define @t3230 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2743)) % 6.34/6.54 (define @t3231 () (@list @t696 @t378 @t3028 @t2474 @t127 @t30)) % 6.34/6.54 (define @t3232 () (tptp.c_Wellfounded_Omax__ext @t30 @t2474)) % 6.34/6.54 (define @t3233 () (tptp.c_Product__Type_OPair @t2371 @t2371)) % 6.34/6.54 (define @t3234 () (tptp.tc_prod @t2371 @t2371)) % 6.34/6.54 (define @t3235 () (tptp.c_member @t3234)) % 6.34/6.54 (define @t3236 () (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t1235) @t1473))) % 6.34/6.54 (define @t3237 () (@var "V_xa_2" $$unsorted)) % 6.34/6.54 (define @t3238 () (tptp.tc_fun @t3071 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3239 () (tptp.hAPP (tptp.c_COMBB @t3064 @t3238 @t30) @t3065)) % 6.34/6.54 (define @t3240 () (tptp.tc_fun @t30 @t3238)) % 6.34/6.54 (define @t3241 () (tptp.tc_fun @t30 @t3064)) % 6.34/6.54 (define @t3242 () (tptp.c_COMBC @t30 @t3071 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3243 () (tptp.hAPP (tptp.c_COMBC @t30 @t3071 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3240 (tptp.tc_fun @t3071 @t2371) @t30) @t3242) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3241 @t3240 @t30) @t3239) @t3061)))) % 6.34/6.54 (define @t3244 () (tptp.c_Relation_Oinv__image @t127 @t30)) % 6.34/6.54 (define @t3245 () (tptp.hAPP (tptp.hAPP @t3244 @t2033) @t2)) % 6.34/6.54 (define @t3246 () (@var "V_Procs_2" $$unsorted)) % 6.34/6.54 (define @t3247 () (tptp.tc_fun @t30 @t2800)) % 6.34/6.54 (define @t3248 () (tptp.tc_fun @t3247 @t49)) % 6.34/6.54 (define @t3249 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t3248) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3247 (tptp.tc_fun tptp.tc_Com_Ocom @t3248) tptp.tc_Com_Opname) @t31) @t27))) % 6.34/6.54 (define @t3250 () (tptp.c_COMBS tptp.tc_Com_Opname @t3247 @t49)) % 6.34/6.54 (define @t3251 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t49 (tptp.hAPP (tptp.hAPP @t3250 (tptp.hAPP @t3249 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t215) tptp.c_Com_Obody))) @t21)) @t3246)) % 6.34/6.54 (define @t3252 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t49 (tptp.hAPP (tptp.hAPP @t3250 (tptp.hAPP @t3249 tptp.c_Com_Ocom_OBODY)) @t21)) @t3246)) % 6.34/6.54 (define @t3253 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2793) @t52) @t3252)) % 6.34/6.54 (define @t3254 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t3253 @t3251)) % 6.34/6.54 (define @t3255 () (@list @t3246 @t21 @t27 @t52 @t30)) % 6.34/6.54 (define @t3256 () (tptp.hBOOL (tptp.hAPP @t1474 @t696))) % 6.34/6.54 (define @t3257 () (tptp.hBOOL (tptp.hAPP @t1236 @t696))) % 6.34/6.54 (define @t3258 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3230 @t1235) @t1473) @t378) @t696))) % 6.34/6.54 (define @t3259 () (@list @t696 @t378 @t1473 @t1235 @t127 @t30)) % 6.34/6.54 (define @t3260 () (not @t3256)) % 6.34/6.54 (define @t3261 () (tptp.c_Set_Oimage @t127 @t30 @t2)) % 6.34/6.54 (define @t3262 () (tptp.hAPP @t3261 @t1235)) % 6.34/6.54 (define @t3263 () (tptp.c_member @t127)) % 6.34/6.54 (define @t3264 () (tptp.hAPP @t3263 @t378)) % 6.34/6.54 (define @t3265 () (tptp.hBOOL (tptp.hAPP @t3264 @t1235))) % 6.34/6.54 (define @t3266 () (= @t64 @t668)) % 6.34/6.54 (define @t3267 () (tptp.hAPP @t3261 @t1473)) % 6.34/6.54 (define @t3268 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2742)) % 6.34/6.54 (define @t3269 () (tptp.hAPP @t3268 @t1235)) % 6.34/6.54 (define @t3270 () (tptp.hAPP @t3269 @t1473)) % 6.34/6.54 (define @t3271 () (@list @t1473 @t1235 @t2 @t30 @t127)) % 6.34/6.54 (define @t3272 () (tptp.c_Set_Oimage @t30 @t127 @t2)) % 6.34/6.54 (define @t3273 () (tptp.hAPP @t3272 @t1473)) % 6.34/6.54 (define @t3274 () (tptp.hAPP @t3272 @t1235)) % 6.34/6.54 (define @t3275 () (tptp.c_Orderings_Oord__class_Oless__eq @t2742)) % 6.34/6.54 (define @t3276 () (tptp.hAPP @t3275 @t3274)) % 6.34/6.54 (define @t3277 () (tptp.hBOOL (tptp.hAPP @t3276 @t3273))) % 6.34/6.54 (define @t3278 () (@list @t2 @t127 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t3279 () (@var "B_AA" $$unsorted)) % 6.34/6.54 (define @t3280 () (tptp.hBOOL (tptp.hAPP @t2500 @t3262))) % 6.34/6.54 (define @t3281 () (tptp.c_COMBB @t127 @t30 @t465)) % 6.34/6.54 (define @t3282 () (tptp.c_Set_Oimage @t465 @t127 @t1)) % 6.34/6.54 (define @t3283 () (tptp.hAPP @t3263 @t4)) % 6.34/6.54 (define @t3284 () (tptp.hBOOL (tptp.hAPP @t3283 @t1235))) % 6.34/6.54 (define @t3285 () (@list @t2 @t127 @t1235 @t378 @t30)) % 6.34/6.54 (define @t3286 () (tptp.hAPP @t3263 @t64)) % 6.34/6.54 (define @t3287 () (tptp.c_Set_Oinsert @t127)) % 6.34/6.54 (define @t3288 () (tptp.hAPP @t3287 @t140)) % 6.34/6.54 (define @t3289 () (tptp.hAPP @t3288 @t1473)) % 6.34/6.54 (define @t3290 () (tptp.c_Orderings_Obot__class_Obot @t2742)) % 6.34/6.54 (define @t3291 () (= @t1235 @t3290)) % 6.34/6.54 (define @t3292 () (@list @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t3293 () (@list @t2 @t30 @t127)) % 6.34/6.54 (define @t3294 () (@list @t1235 @t2 @t30 @t127)) % 6.34/6.54 (define @t3295 () (tptp.c_Groups_Ominus__class_Ominus @t2742)) % 6.34/6.54 (define @t3296 () (tptp.hAPP @t3295 @t1235)) % 6.34/6.54 (define @t3297 () (tptp.hAPP @t3296 @t1473)) % 6.34/6.54 (define @t3298 () (@list @t1473 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t3299 () (tptp.c_COMBK @t127 @t30)) % 6.34/6.54 (define @t3300 () (tptp.hAPP (tptp.c_Set_Oimage @t30 @t127 (tptp.hAPP @t3299 @t25)) @t1235)) % 6.34/6.54 (define @t3301 () (= @t3300 (tptp.hAPP (tptp.hAPP @t3287 @t25) @t3290))) % 6.34/6.54 (define @t3302 () (@list @t25 @t127 @t30 @t1235)) % 6.34/6.54 (define @t3303 () (forall @t8 (not @t3067))) % 6.34/6.54 (define @t3304 () (tptp.c_Relation_OField @t30)) % 6.34/6.54 (define @t3305 () (tptp.hAPP @t3304 @t2033)) % 6.34/6.54 (define @t3306 () (tptp.hAPP @t3104 @t64)) % 6.34/6.54 (define @t3307 () (tptp.c_Set_Oinsert @t3064)) % 6.34/6.54 (define @t3308 () (@list @t2033 @t64 @t140 @t30)) % 6.34/6.54 (define @t3309 () (tptp.c_Relation_OImage @t2422 @t2422 tptp.c_Int_Ointrel)) % 6.34/6.54 (define @t3310 () (tptp.c_Wellfounded_Oacc @t30 @t2033)) % 6.34/6.54 (define @t3311 () (tptp.hBOOL (tptp.hAPP @t2986 @t3310))) % 6.34/6.54 (define @t3312 () (tptp.hAPP @t3243 @t2033)) % 6.34/6.54 (define @t3313 () (@list @t378 @t2033 @t30)) % 6.34/6.54 (define @t3314 () (tptp.c_member @t465)) % 6.34/6.54 (define @t3315 () (tptp.hAPP @t3039 @t2413)) % 6.34/6.54 (define @t3316 () (tptp.c_Relation_OImage @t127 @t30 @t2474)) % 6.34/6.54 (define @t3317 () (tptp.hAPP @t3316 @t1473)) % 6.34/6.54 (define @t3318 () (tptp.hAPP @t3316 @t1235)) % 6.34/6.54 (define @t3319 () (tptp.hAPP @t3148 @t3318)) % 6.34/6.54 (define @t3320 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t623)) % 6.34/6.54 (define @t3321 () (tptp.hAPP @t3320 @t1473)) % 6.34/6.54 (define @t3322 () (tptp.hAPP @t3320 @t1235)) % 6.34/6.54 (define @t3323 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2388)) % 6.34/6.54 (define @t3324 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 6.34/6.54 (define @t3325 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2246)) % 6.34/6.54 (define @t3326 () (@list @t1473 @t1235)) % 6.34/6.54 (define @t3327 () (tptp.c_Orderings_Oord__class_Oless__eq @t2388)) % 6.34/6.54 (define @t3328 () (tptp.c_Orderings_Oord__class_Oless__eq @t2246)) % 6.34/6.54 (define @t3329 () (tptp.hAPP @t3328 @t1235)) % 6.34/6.54 (define @t3330 () (@list @t1235)) % 6.34/6.54 (define @t3331 () (tptp.c_Orderings_Oord__class_Oless @t2388)) % 6.34/6.54 (define @t3332 () (tptp.c_Orderings_Oord__class_Oless @t2246)) % 6.34/6.54 (define @t3333 () (tptp.c_member tptp.tc_Int_Oint)) % 6.34/6.54 (define @t3334 () (tptp.c_member tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t3335 () (tptp.hAPP @t3334 @t378)) % 6.34/6.54 (define @t3336 () (@list @t1235 @t378)) % 6.34/6.54 (define @t3337 () (@list @t2474 @t30 @t127)) % 6.34/6.54 (define @t3338 () (tptp.c_Orderings_Obot__class_Obot @t2388)) % 6.34/6.54 (define @t3339 () (tptp.c_Orderings_Obot__class_Obot @t2246)) % 6.34/6.54 (define @t3340 () (tptp.c_Relation_OImage @t30 @t127 @t2033)) % 6.34/6.54 (define @t3341 () (tptp.hAPP @t3340 @t1235)) % 6.34/6.54 (define @t3342 () (@var "V_A_H_2" $$unsorted)) % 6.34/6.54 (define @t3343 () (@var "V_r_H_2" $$unsorted)) % 6.34/6.54 (define @t3344 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3057 @t3343) @t2033))) % 6.34/6.54 (define @t3345 () (tptp.tc_fun @t2687 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3346 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3345)) % 6.34/6.54 (define @t3347 () (tptp.hBOOL (tptp.hAPP @t3315 @t2033))) % 6.34/6.54 (define @t3348 () (tptp.hAPP @t2607 @t4)) % 6.34/6.54 (define @t3349 () (tptp.c_member @t2687)) % 6.34/6.54 (define @t3350 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 (tptp.hAPP @t3348 @t64)) @t2033))) % 6.34/6.54 (define @t3351 () (tptp.c_Relation_OImage @t127 @t30 @t2033)) % 6.34/6.54 (define @t3352 () (tptp.hAPP @t3351 @t1235)) % 6.34/6.54 (define @t3353 () (tptp.hBOOL (tptp.hAPP @t3036 @t3352))) % 6.34/6.54 (define @t3354 () (@list @t1235 @t2033 @t127 @t64 @t30)) % 6.34/6.54 (define @t3355 () (tptp.hAPP @t3304 @t61)) % 6.34/6.54 (define @t3356 () (tptp.hAPP @t3072 @t2033)) % 6.34/6.54 (define @t3357 () (tptp.hBOOL (tptp.hAPP @t3356 @t61))) % 6.34/6.54 (define @t3358 () (@list @t61 @t2033 @t30)) % 6.34/6.54 (define @t3359 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3071)) % 6.34/6.54 (define @t3360 () (tptp.hAPP @t3359 @t2033)) % 6.34/6.54 (define @t3361 () (tptp.hAPP @t3360 @t61)) % 6.34/6.54 (define @t3362 () (tptp.hBOOL (tptp.hAPP @t3002 @t3310))) % 6.34/6.54 (define @t3363 () (tptp.hAPP @t3065 @t3306)) % 6.34/6.54 (define @t3364 () (tptp.hBOOL (tptp.hAPP @t3363 @t2033))) % 6.34/6.54 (define @t3365 () (tptp.hBOOL (tptp.hAPP @t3036 @t3310))) % 6.34/6.54 (define @t3366 () (tptp.hBOOL (tptp.hAPP @t2789 @t3310))) % 6.34/6.54 (define @t3367 () (@list @t2033 @t140 @t30)) % 6.34/6.54 (define @t3368 () (tptp.hAPP @t2607 @t140)) % 6.34/6.54 (define @t3369 () (tptp.hAPP @t3368 @t64)) % 6.34/6.54 (define @t3370 () (tptp.hAPP @t3288 @t3290)) % 6.34/6.54 (define @t3371 () (tptp.hAPP @t3351 @t3370)) % 6.34/6.54 (define @t3372 () (tptp.hAPP @t780 @t696)) % 6.34/6.54 (define @t3373 () (tptp.hAPP @t780 @t378)) % 6.34/6.54 (define @t3374 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 @t3213) @t3138)))) % 6.34/6.54 (define @t3375 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 @t2421) @t3138)))) % 6.34/6.54 (define @t3376 () (tptp.hAPP @t2204 @t325)) % 6.34/6.54 (define @t3377 () (tptp.hAPP @t3324 @t1473)) % 6.34/6.54 (define @t3378 () (tptp.hAPP @t3324 @t1235)) % 6.34/6.54 (define @t3379 () (tptp.hAPP (tptp.hAPP @t3323 @t1235) @t1473)) % 6.34/6.54 (define @t3380 () (tptp.c_Nat__Transfer_Onat__set @t1473)) % 6.34/6.54 (define @t3381 () (tptp.c_Nat__Transfer_Onat__set @t1235)) % 6.34/6.54 (define @t3382 () (tptp.hAPP @t3333 @t4)) % 6.34/6.54 (define @t3383 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3333 @t378) @t1235))) % 6.34/6.54 (define @t3384 () (@list @t378 @t1235)) % 6.34/6.54 (define @t3385 () (=> @t3037 @t3364)) % 6.34/6.54 (define @t3386 () (tptp.c_Relation_OImage @t30 @t30 @t2033)) % 6.34/6.54 (define @t3387 () (tptp.hAPP @t3386 @t2839)) % 6.34/6.54 (define @t3388 () (tptp.hAPP @t3386 @t2835)) % 6.34/6.54 (define @t3389 () (tptp.c_Equiv__Relations_Oequiv @t30 @t1235 @t2033)) % 6.34/6.54 (define @t3390 () (tptp.c_Finite__Set_Ofinite @t2422)) % 6.34/6.54 (define @t3391 () (tptp.c_Finite__Set_Ofinite @t30)) % 6.34/6.54 (define @t3392 () (tptp.c_Finite__Set_Ofinite @t3064)) % 6.34/6.54 (define @t3393 () (tptp.hBOOL (tptp.hAPP @t3392 @t2033))) % 6.34/6.54 (define @t3394 () (@list @t140 @t2033 @t1235 @t30)) % 6.34/6.54 (define @t3395 () (= @t3387 @t3388)) % 6.34/6.54 (define @t3396 () (@list @t64 @t140 @t2033 @t1235 @t30)) % 6.34/6.54 (define @t3397 () (tptp.hAPP @t2827 @t2815)) % 6.34/6.54 (define @t3398 () (tptp.hAPP @t3386 @t2819)) % 6.34/6.54 (define @t3399 () (= @t3398 (tptp.hAPP @t3386 @t3397))) % 6.34/6.54 (define @t3400 () (tptp.hBOOL (tptp.hAPP @t3079 @t2033))) % 6.34/6.54 (define @t3401 () (@list @t696 @t378 @t2033 @t1235 @t30)) % 6.34/6.54 (define @t3402 () (tptp.hBOOL (tptp.hAPP @t3391 @t2585))) % 6.34/6.54 (define @t3403 () (tptp.hBOOL (tptp.hAPP @t3391 @t1235))) % 6.34/6.54 (define @t3404 () (@var "V_F_2" $$unsorted)) % 6.34/6.54 (define @t3405 () (tptp.c_Set_Oimage @t30 @t127 @t218)) % 6.34/6.54 (define @t3406 () (tptp.c_Finite__Set_Ofinite @t127)) % 6.34/6.54 (define @t3407 () (tptp.hBOOL (tptp.hAPP @t3391 @t3404))) % 6.34/6.54 (define @t3408 () (@list @t218 @t127 @t3404 @t30)) % 6.34/6.54 (define @t3409 () (tptp.hBOOL (tptp.hAPP @t3391 @t2823))) % 6.34/6.54 (define @t3410 () (@list @t140 @t1235 @t30)) % 6.34/6.54 (define @t3411 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 6.34/6.54 (define @t3412 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t3413 () (tptp.class_Finite__Set_Ofinite @t30)) % 6.34/6.54 (define @t3414 () (tptp.hBOOL (tptp.hAPP @t3391 @t1473))) % 6.34/6.54 (define @t3415 () (tptp.hBOOL (tptp.hAPP @t3391 @t52))) % 6.34/6.54 (define @t3416 () (tptp.hBOOL (tptp.hAPP @t3391 (tptp.hAPP (tptp.hAPP @t3148 @t3404) @t52)))) % 6.34/6.54 (define @t3417 () (@list @t52 @t3404 @t30)) % 6.34/6.54 (define @t3418 () (tptp.hBOOL (tptp.hAPP @t3406 @t1473))) % 6.34/6.54 (define @t3419 () (tptp.hAPP @t3275 @t1473)) % 6.34/6.54 (define @t3420 () (tptp.hBOOL (tptp.hAPP @t3419 @t3274))) % 6.34/6.54 (define @t3421 () (tptp.c_Wellfounded_Ofinite__psubset @t30)) % 6.34/6.54 (define @t3422 () (@var "V_U_2" $$unsorted)) % 6.34/6.54 (define @t3423 () (tptp.tc_Hoare__Mirabelle_Otriple @t127)) % 6.34/6.54 (define @t3424 () (tptp.tc_fun @t127 @t2800)) % 6.34/6.54 (define @t3425 () (tptp.tc_fun @t3424 @t3423)) % 6.34/6.54 (define @t3426 () (tptp.hAPP (tptp.c_COMBB @t3424 (tptp.tc_fun tptp.tc_Com_Ocom @t3425) @t30) @t128)) % 6.34/6.54 (define @t3427 () (tptp.c_COMBS @t30 tptp.tc_Com_Ocom @t3425)) % 6.34/6.54 (define @t3428 () (tptp.c_COMBS @t30 @t3424 @t3423)) % 6.34/6.54 (define @t3429 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t3423 tptp.tc_HOL_Obool))) % 6.34/6.54 (define @t3430 () (@var "B_p" $$unsorted)) % 6.34/6.54 (define @t3431 () (tptp.hAPP @t63 @t3430)) % 6.34/6.54 (define @t3432 () (tptp.c_Set_Oinsert @t3423)) % 6.34/6.54 (define @t3433 () (tptp.hAPP @t3404 @t2990)) % 6.34/6.54 (define @t3434 () (tptp.hAPP @t668 @t3433)) % 6.34/6.54 (define @t3435 () (tptp.hAPP @t3404 @t1235)) % 6.34/6.54 (define @t3436 () (= @t2990 @t2815)) % 6.34/6.54 (define @t3437 () (not @t3436)) % 6.34/6.54 (define @t3438 () (tptp.c_Finite__Set_Ofolding__one @t30 @t2 @t3404)) % 6.34/6.54 (define @t3439 () (@list @t378 @t1235 @t3404 @t2 @t30)) % 6.34/6.54 (define @t3440 () (tptp.hAPP @t3287 @t378)) % 6.34/6.54 (define @t3441 () (tptp.hAPP @t3440 @t3290)) % 6.34/6.54 (define @t3442 () (tptp.hAPP @t2 @t1214)) % 6.34/6.54 (define @t3443 () (tptp.hAPP @t3442 (tptp.hAPP @t3404 (tptp.hAPP @t3296 @t3441)))) % 6.34/6.54 (define @t3444 () (tptp.hBOOL (tptp.hAPP @t3406 @t1235))) % 6.34/6.54 (define @t3445 () (tptp.c_Finite__Set_Ofolding__image__simple @t30 @t127 @t2 @t628 @t1 @t3404)) % 6.34/6.54 (define @t3446 () (@list @t378 @t1235 @t3404 @t1 @t628 @t2 @t127 @t30)) % 6.34/6.54 (define @t3447 () (@list @t378 @t3404 @t2 @t30)) % 6.34/6.54 (define @t3448 () (tptp.hAPP @t3442 @t3435)) % 6.34/6.54 (define @t3449 () (tptp.hAPP @t3440 @t1235)) % 6.34/6.54 (define @t3450 () (tptp.hAPP @t3404 @t3449)) % 6.34/6.54 (define @t3451 () (= @t3450 @t3448)) % 6.34/6.54 (define @t3452 () (tptp.hAPP @t668 @t3435)) % 6.34/6.54 (define @t3453 () (tptp.hAPP @t3404 @t2825)) % 6.34/6.54 (define @t3454 () (=> @t3022 (= @t3453 @t3452))) % 6.34/6.54 (define @t3455 () (@var "V_N_2" $$unsorted)) % 6.34/6.54 (define @t3456 () (tptp.hAPP @t3334 @t4)) % 6.34/6.54 (define @t3457 () (tptp.hBOOL (tptp.hAPP @t3456 @t3455))) % 6.34/6.54 (define @t3458 () (tptp.hBOOL (tptp.hAPP @t3412 @t3455))) % 6.34/6.54 (define @t3459 () (@list @t3455)) % 6.34/6.54 (define @t3460 () (tptp.c_Equiv__Relations_Oquotient @t30)) % 6.34/6.54 (define @t3461 () (tptp.hAPP (tptp.hAPP @t3460 @t2819) @t2033)) % 6.34/6.54 (define @t3462 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2371)) % 6.34/6.54 (define @t3463 () (tptp.hAPP @t3462 @t1235)) % 6.34/6.54 (define @t3464 () (tptp.hAPP @t3463 @t1473)) % 6.34/6.54 (define @t3465 () (tptp.hBOOL (tptp.hAPP @t3464 @t378))) % 6.34/6.54 (define @t3466 () (tptp.hBOOL (tptp.hAPP @t2995 @t3464))) % 6.34/6.54 (define @t3467 () (= @t164 @t141)) % 6.34/6.54 (define @t3468 () (tptp.hAPP (tptp.hAPP @t3460 @t1235) @t2033)) % 6.34/6.54 (define @t3469 () (tptp.c_member @t2371)) % 6.34/6.54 (define @t3470 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t141) @t3468))) % 6.34/6.54 (define @t3471 () (tptp.hAPP @t3469 @t164)) % 6.34/6.54 (define @t3472 () (tptp.hBOOL (tptp.hAPP @t3471 @t3468))) % 6.34/6.54 (define @t3473 () (tptp.c_Orderings_Obot__class_Obot @t2944)) % 6.34/6.54 (define @t3474 () (@list @t2033 @t1235 @t30)) % 6.34/6.54 (define @t3475 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t35)) % 6.34/6.54 (define @t3476 () (tptp.hAPP @t3475 @t278)) % 6.34/6.54 (define @t3477 () (tptp.hAPP @t3476 @t389)) % 6.34/6.54 (define @t3478 () (tptp.hBOOL (tptp.hAPP @t995 @t3477))) % 6.34/6.54 (define @t3479 () (tptp.class_Lattices_Osemilattice__inf @t35)) % 6.34/6.54 (define @t3480 () (tptp.hAPP @t930 @t3477)) % 6.34/6.54 (define @t3481 () (tptp.hAPP @t3475 @t135)) % 6.34/6.54 (define @t3482 () (tptp.hAPP @t3481 @t317)) % 6.34/6.54 (define @t3483 () (tptp.hAPP @t3475 @t136)) % 6.34/6.54 (define @t3484 () (tptp.hAPP @t3483 @t135)) % 6.34/6.54 (define @t3485 () (tptp.hBOOL (tptp.hAPP @t3480 @t136))) % 6.34/6.54 (define @t3486 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t30)) % 6.34/6.54 (define @t3487 () (tptp.class_Lattices_Osemilattice__inf @t30)) % 6.34/6.54 (define @t3488 () (tptp.hAPP @t3486 @t378)) % 6.34/6.54 (define @t3489 () (tptp.hAPP @t3488 @t696)) % 6.34/6.54 (define @t3490 () (tptp.hAPP @t930 @t3484)) % 6.34/6.54 (define @t3491 () (tptp.hBOOL (tptp.hAPP @t3490 @t135))) % 6.34/6.54 (define @t3492 () (tptp.hBOOL (tptp.hAPP @t3490 @t136))) % 6.34/6.54 (define @t3493 () (tptp.hAPP @t3462 @t2588)) % 6.34/6.54 (define @t3494 () (tptp.hAPP @t2372 @t3464)) % 6.34/6.54 (define @t3495 () (tptp.hBOOL (tptp.hAPP @t2908 @t1235))) % 6.34/6.54 (define @t3496 () (@list @t1473 @t1235 @t2588 @t30)) % 6.34/6.54 (define @t3497 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t3477) @t136))) % 6.34/6.54 (define @t3498 () (@var "B_xa" $$unsorted)) % 6.34/6.54 (define @t3499 () (= @t4 @t3498)) % 6.34/6.54 (define @t3500 () (not @t3499)) % 6.34/6.54 (define @t3501 () (tptp.hAPP @t2788 @t3498)) % 6.34/6.54 (define @t3502 () (@list @t3498)) % 6.34/6.54 (define @t3503 () (= @t3464 @t2815)) % 6.34/6.54 (define @t3504 () (tptp.class_Lattices_Odistrib__lattice @t35)) % 6.34/6.54 (define @t3505 () (tptp.hAPP @t3481 @t136)) % 6.34/6.54 (define @t3506 () (tptp.hAPP (tptp.hAPP @t3475 @t3170) @t3200)) % 6.34/6.54 (define @t3507 () (tptp.hAPP @t3159 @t3482)) % 6.34/6.54 (define @t3508 () (tptp.hAPP @t3483 @t317)) % 6.34/6.54 (define @t3509 () (tptp.hAPP (tptp.hAPP @t3158 @t3484) @t3508)) % 6.34/6.54 (define @t3510 () (tptp.hAPP @t3483 @t3169)) % 6.34/6.54 (define @t3511 () (tptp.hAPP @t3176 @t1235)) % 6.34/6.54 (define @t3512 () (tptp.hAPP @t3462 @t3150)) % 6.34/6.54 (define @t3513 () (tptp.hAPP @t3493 @t1235)) % 6.34/6.54 (define @t3514 () (tptp.hAPP @t3462 @t1473)) % 6.34/6.54 (define @t3515 () (tptp.hAPP @t3514 @t2588)) % 6.34/6.54 (define @t3516 () (tptp.hAPP @t3148 @t3464)) % 6.34/6.54 (define @t3517 () (@list @t1235 @t2588 @t1473 @t30)) % 6.34/6.54 (define @t3518 () (tptp.hAPP @t3514 @t1235)) % 6.34/6.54 (define @t3519 () (tptp.hAPP @t3463 @t2588)) % 6.34/6.54 (define @t3520 () (tptp.hAPP @t3463 @t3190)) % 6.34/6.54 (define @t3521 () (= (tptp.hAPP @t3483 @t136) @t136)) % 6.34/6.54 (define @t3522 () (tptp.hAPP @t2583 @t3519)) % 6.34/6.54 (define @t3523 () (tptp.hAPP @t3522 @t3515)) % 6.34/6.54 (define @t3524 () (tptp.hAPP @t3462 @t2585)) % 6.34/6.54 (define @t3525 () (tptp.hAPP @t3483 @t3482)) % 6.34/6.54 (define @t3526 () (= (tptp.hAPP (tptp.hAPP @t3475 @t3484) @t317) @t3525)) % 6.34/6.54 (define @t3527 () (tptp.hAPP @t3475 @t389)) % 6.34/6.54 (define @t3528 () (tptp.hAPP @t3476 (tptp.hAPP @t3527 @t111))) % 6.34/6.54 (define @t3529 () (= @t3525 (tptp.hAPP @t3481 @t3508))) % 6.34/6.54 (define @t3530 () (= (tptp.hAPP @t3483 @t3484) @t3484)) % 6.34/6.54 (define @t3531 () (= @t3484 @t3505)) % 6.34/6.54 (define @t3532 () (tptp.hAPP @t3463 @t3515)) % 6.34/6.54 (define @t3533 () (tptp.hAPP @t2822 @t3464)) % 6.34/6.54 (define @t3534 () (@list @t1473 @t1235 @t140 @t30)) % 6.34/6.54 (define @t3535 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2388)) % 6.34/6.54 (define @t3536 () (tptp.hAPP (tptp.hAPP @t3535 @t1235) @t1473)) % 6.34/6.54 (define @t3537 () (tptp.hAPP @t3475 @t1046)) % 6.34/6.54 (define @t3538 () (tptp.hAPP @t3158 @t1046)) % 6.34/6.54 (define @t3539 () (tptp.hAPP (tptp.hAPP @t3462 @t2910) @t2588)) % 6.34/6.54 (define @t3540 () (tptp.hBOOL (tptp.hAPP @t3002 @t2588))) % 6.34/6.54 (define @t3541 () (=> @t3540 (= @t3539 (tptp.hAPP @t2822 @t3515)))) % 6.34/6.54 (define @t3542 () (@list @t1473 @t2588 @t140 @t30)) % 6.34/6.54 (define @t3543 () (tptp.hAPP @t3463 @t2910)) % 6.34/6.54 (define @t3544 () (=> @t3003 (= @t3543 @t3533))) % 6.34/6.54 (define @t3545 () (=> (not @t3540) (= @t3539 @t3515))) % 6.34/6.54 (define @t3546 () (=> @t3026 (= @t3543 @t3464))) % 6.34/6.54 (define @t3547 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2742)) % 6.34/6.54 (define @t3548 () (tptp.hAPP @t3547 @t1235)) % 6.34/6.54 (define @t3549 () (tptp.hAPP @t3548 @t1473)) % 6.34/6.54 (define @t3550 () (tptp.hAPP @t3148 @t2585)) % 6.34/6.54 (define @t3551 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2246)) % 6.34/6.54 (define @t3552 () (tptp.hAPP @t3462 @t2600)) % 6.34/6.54 (define @t3553 () (tptp.hAPP (tptp.hAPP @t3462 @t3318) @t3317)) % 6.34/6.54 (define @t3554 () (tptp.hAPP @t3316 @t3549)) % 6.34/6.54 (define @t3555 () (@list @t1473 @t1235 @t2474 @t127 @t30)) % 6.34/6.54 (define @t3556 () (tptp.hAPP @t3404 @t1473)) % 6.34/6.54 (define @t3557 () (tptp.hAPP (tptp.hAPP @t2 @t3435) @t3556)) % 6.34/6.54 (define @t3558 () (tptp.hAPP @t3404 @t3270)) % 6.34/6.54 (define @t3559 () (@list @t1473 @t1235 @t3404 @t1 @t628 @t2 @t127 @t30)) % 6.34/6.54 (define @t3560 () (tptp.c_Set_Oinsert @t2371)) % 6.34/6.54 (define @t3561 () (@list @t2033 @t378 @t30)) % 6.34/6.54 (define @t3562 () (tptp.hAPP @t3404 @t3464)) % 6.34/6.54 (define @t3563 () (tptp.hAPP @t3404 @t3150)) % 6.34/6.54 (define @t3564 () (not @t3503)) % 6.34/6.54 (define @t3565 () (@list @t1473 @t1235 @t3404 @t2 @t30)) % 6.34/6.54 (define @t3566 () (= @t3563 @t3557)) % 6.34/6.54 (define @t3567 () (not @t3161)) % 6.34/6.54 (define @t3568 () (= @t3558 @t3557)) % 6.34/6.54 (define @t3569 () (tptp.hBOOL (tptp.hAPP @t3034 @t141))) % 6.34/6.54 (define @t3570 () (tptp.hBOOL (tptp.hAPP @t2986 @t164))) % 6.34/6.54 (define @t3571 () (@list @t696 @t378 @t141 @t164 @t2033 @t1235 @t30)) % 6.34/6.54 (define @t3572 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1539) @t327))) % 6.34/6.54 (define @t3573 () (@list @t327 @t1539)) % 6.34/6.54 (define @t3574 () (tptp.hBOOL (tptp.hAPP @t2911 @t178))) % 6.34/6.54 (define @t3575 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t178) @t327))) % 6.34/6.54 (define @t3576 () (tptp.hAPP @t3334 @t178)) % 6.34/6.54 (define @t3577 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3040)) % 6.34/6.54 (define @t3578 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2743)) % 6.34/6.54 (define @t3579 () (@var "V_less_2" $$unsorted)) % 6.34/6.54 (define @t3580 () (tptp.hAPP @t3579 @t178)) % 6.34/6.54 (define @t3581 () (tptp.hBOOL (tptp.hAPP @t3580 @t1586))) % 6.34/6.54 (define @t3582 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3579 @t1539) @t178))) % 6.34/6.54 (define @t3583 () (tptp.hAPP @t2788 @t178)) % 6.34/6.54 (define @t3584 () (@list @t327 @t3579 @t178 @t30)) % 6.34/6.54 (define @t3585 () (@var "V_less__eq_2" $$unsorted)) % 6.34/6.54 (define @t3586 () (tptp.hAPP @t3585 @t178)) % 6.34/6.54 (define @t3587 () (@list @t327 @t3585 @t178 @t30)) % 6.34/6.54 (define @t3588 () (tptp.hBOOL (tptp.hAPP @t3586 @t1586))) % 6.34/6.54 (define @t3589 () (@list @t1586 @t1539 @t3579 @t3585 @t178 @t30)) % 6.34/6.54 (define @t3590 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3585 @t1539) @t178))) % 6.34/6.54 (define @t3591 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3578 @t1235) @t1473) @t378) @t696))) % 6.34/6.54 (define @t3592 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t2792 @t2955 @t327 @t1539)) % 6.34/6.54 (define @t3593 () (= @t3592 @t3339)) % 6.34/6.54 (define @t3594 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t2792 @t2955 @t140 @t64)) % 6.34/6.54 (define @t3595 () (= @t3594 @t3339)) % 6.34/6.54 (define @t3596 () (tptp.hAPP @t2792 @t64)) % 6.34/6.54 (define @t3597 () (tptp.hBOOL (tptp.hAPP @t3596 @t140))) % 6.34/6.54 (define @t3598 () (not (and (tptp.hBOOL (tptp.hAPP @t2911 @t1539)) (not @t3572)))) % 6.34/6.54 (define @t3599 () (tptp.hAPP @t2792 @t140)) % 6.34/6.54 (define @t3600 () (tptp.hBOOL (tptp.hAPP @t3599 @t64))) % 6.34/6.54 (define @t3601 () (not (and @t3600 (not @t3597)))) % 6.34/6.54 (define @t3602 () (tptp.hAPP @t3488 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t2990))) % 6.34/6.54 (define @t3603 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t1235)) % 6.34/6.54 (define @t3604 () (tptp.hAPP @t3156 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t2990))) % 6.34/6.54 (define @t3605 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t1235)) % 6.34/6.54 (define @t3606 () (tptp.hAPP @t2645 (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t2990))) % 6.34/6.54 (define @t3607 () (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t1235)) % 6.34/6.54 (define @t3608 () (= @t3607 @t378)) % 6.34/6.54 (define @t3609 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3607) @t1235))) % 6.34/6.54 (define @t3610 () (tptp.hAPP @t3155 @t140)) % 6.34/6.54 (define @t3611 () (tptp.hAPP @t3156 @t3605)) % 6.34/6.54 (define @t3612 () (tptp.hAPP @t3488 @t3603)) % 6.34/6.54 (define @t3613 () (tptp.hAPP @t3486 @t140)) % 6.34/6.54 (define @t3614 () (tptp.hAPP @t2645 @t3607)) % 6.34/6.54 (define @t3615 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t3616 () (tptp.hAPP (tptp.hAPP @t3615 @t140) @t3339)) % 6.34/6.54 (define @t3617 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2792 @t140 @t64)) % 6.34/6.54 (define @t3618 () (and @t759 @t397)) % 6.34/6.54 (define @t3619 () (= @t3617 @t3339)) % 6.34/6.54 (define @t3620 () (not @t3600)) % 6.34/6.54 (define @t3621 () (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3455)) % 6.34/6.54 (define @t3622 () (@var "V_M_2" $$unsorted)) % 6.34/6.54 (define @t3623 () (tptp.hBOOL (tptp.hAPP @t3391 @t3455))) % 6.34/6.54 (define @t3624 () (not (= @t3622 @t2815))) % 6.34/6.54 (define @t3625 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3622) @t3455))) % 6.34/6.54 (define @t3626 () (@list @t3455 @t3622 @t30)) % 6.34/6.54 (define @t3627 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t2825)) % 6.34/6.54 (define @t3628 () (=> @t3022 (= @t3627 @t3611))) % 6.34/6.54 (define @t3629 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t2825)) % 6.34/6.54 (define @t3630 () (=> @t3022 (= @t3629 @t3612))) % 6.34/6.54 (define @t3631 () (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t2825)) % 6.34/6.54 (define @t3632 () (=> @t3022 (= @t3631 @t3614))) % 6.34/6.54 (define @t3633 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t1473)) % 6.34/6.54 (define @t3634 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t1473)) % 6.34/6.54 (define @t3635 () (tptp.hAPP (tptp.hAPP @t3155 @t3605) @t3633)) % 6.34/6.54 (define @t3636 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t3150)) % 6.34/6.54 (define @t3637 () (= @t3636 @t3635)) % 6.34/6.54 (define @t3638 () (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t1473)) % 6.34/6.54 (define @t3639 () (tptp.hAPP (tptp.hAPP @t3486 @t3603) @t3634)) % 6.34/6.54 (define @t3640 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t3150)) % 6.34/6.54 (define @t3641 () (= @t3640 @t3639)) % 6.34/6.54 (define @t3642 () (tptp.hAPP (tptp.hAPP @t2644 @t3607) @t3638)) % 6.34/6.54 (define @t3643 () (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3150)) % 6.34/6.54 (define @t3644 () (= @t3643 @t3642)) % 6.34/6.54 (define @t3645 () (tptp.hBOOL (tptp.hAPP @t3596 @t819))) % 6.34/6.54 (define @t3646 () (tptp.hAPP @t2792 @t25)) % 6.34/6.54 (define @t3647 () (tptp.hBOOL (tptp.hAPP @t3646 @t140))) % 6.34/6.54 (define @t3648 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2792 @t25 @t819)) % 6.34/6.54 (define @t3649 () (@list @t819 @t25 @t64 @t140)) % 6.34/6.54 (define @t3650 () (tptp.hAPP @t3097 (tptp.hAPP (tptp.hAPP @t2817 @t412) @t2815))) % 6.34/6.54 (define @t3651 () (tptp.hAPP (tptp.hAPP @t2644 @t4) @t412)) % 6.34/6.54 (define @t3652 () (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3651) @t3650)))) % 6.34/6.54 (define @t3653 () (tptp.hAPP (tptp.hAPP @t3486 @t4) @t412)) % 6.34/6.54 (define @t3654 () (tptp.hAPP (tptp.hAPP @t3155 @t4) @t412)) % 6.34/6.54 (define @t3655 () (tptp.hAPP @t2521 (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t2990))) % 6.34/6.54 (define @t3656 () (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t1235)) % 6.34/6.54 (define @t3657 () (= @t3656 @t378)) % 6.34/6.54 (define @t3658 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3656) @t1235))) % 6.34/6.54 (define @t3659 () (tptp.hAPP @t2521 @t3656)) % 6.34/6.54 (define @t3660 () (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3455)) % 6.34/6.54 (define @t3661 () (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t2825)) % 6.34/6.54 (define @t3662 () (=> @t3022 (= @t3661 @t3659))) % 6.34/6.54 (define @t3663 () (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t1473)) % 6.34/6.54 (define @t3664 () (tptp.hAPP (tptp.hAPP @t2520 @t3656) @t3663)) % 6.34/6.54 (define @t3665 () (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3150)) % 6.34/6.54 (define @t3666 () (= @t3665 @t3664)) % 6.34/6.54 (define @t3667 () (tptp.c_Set_Oimage @t30 @t30 @t740)) % 6.34/6.54 (define @t3668 () (tptp.hAPP @t3667 @t3028)) % 6.34/6.54 (define @t3669 () (not (= @t3028 @t2815))) % 6.34/6.54 (define @t3670 () (tptp.hBOOL (tptp.hAPP @t3391 @t3028))) % 6.34/6.54 (define @t3671 () (@list @t3028 @t30)) % 6.34/6.54 (define @t3672 () (tptp.hAPP (tptp.hAPP @t2520 @t4) @t412)) % 6.34/6.54 (define @t3673 () (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3672) @t3650)))) % 6.34/6.54 (define @t3674 () (tptp.hAPP @t2645 (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t2990))) % 6.34/6.54 (define @t3675 () (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t1235)) % 6.34/6.54 (define @t3676 () (tptp.hAPP @t2521 (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t2990))) % 6.34/6.54 (define @t3677 () (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t1235)) % 6.34/6.54 (define @t3678 () (tptp.hAPP @t2521 @t3677)) % 6.34/6.54 (define @t3679 () (tptp.hAPP @t2645 @t3675)) % 6.34/6.54 (define @t3680 () (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t2825)) % 6.34/6.54 (define @t3681 () (=> @t3022 (= @t3680 @t3678))) % 6.34/6.54 (define @t3682 () (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t2825)) % 6.34/6.54 (define @t3683 () (=> @t3022 (= @t3682 @t3679))) % 6.34/6.54 (define @t3684 () (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t1473)) % 6.34/6.54 (define @t3685 () (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t1473)) % 6.34/6.54 (define @t3686 () (tptp.hAPP @t2520 @t140)) % 6.34/6.54 (define @t3687 () (tptp.hAPP @t2644 @t140)) % 6.34/6.54 (define @t3688 () (tptp.hAPP (tptp.hAPP @t2520 @t3677) @t3684)) % 6.34/6.54 (define @t3689 () (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t3150)) % 6.34/6.54 (define @t3690 () (= @t3689 @t3688)) % 6.34/6.54 (define @t3691 () (tptp.hAPP (tptp.hAPP @t2644 @t3675) @t3685)) % 6.34/6.54 (define @t3692 () (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t3150)) % 6.34/6.54 (define @t3693 () (= @t3692 @t3691)) % 6.34/6.54 (define @t3694 () (@list @t1235 @t3404 @t2 @t30)) % 6.34/6.54 (define @t3695 () (tptp.c_Finite__Set_Ocard @t30)) % 6.34/6.54 (define @t3696 () (tptp.hAPP @t3695 @t1235)) % 6.34/6.54 (define @t3697 () (tptp.hAPP @t1459 @t3696)) % 6.34/6.54 (define @t3698 () (tptp.hAPP @t3695 @t2990)) % 6.34/6.54 (define @t3699 () (=> @t2987 (= @t3698 (tptp.hAPP @t3697 @t933)))) % 6.34/6.54 (define @t3700 () (tptp.hAPP @t1171 @t3698)) % 6.34/6.54 (define @t3701 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 6.34/6.54 (define @t3702 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t3703 () (tptp.hAPP @t3702 @t1235)) % 6.34/6.54 (define @t3704 () (= @t3696 @t214)) % 6.34/6.54 (define @t3705 () (not @t3403)) % 6.34/6.54 (define @t3706 () (=> @t3705 @t3704)) % 6.34/6.54 (define @t3707 () (tptp.hBOOL (tptp.hAPP @t475 @t3696))) % 6.34/6.54 (define @t3708 () (tptp.hAPP @t3695 @t2825)) % 6.34/6.54 (define @t3709 () (tptp.hAPP @t934 @t3696)) % 6.34/6.54 (define @t3710 () (tptp.hAPP @t3695 @t1473)) % 6.34/6.54 (define @t3711 () (tptp.c_Finite__Set_Ocard @t127)) % 6.34/6.54 (define @t3712 () (tptp.hAPP @t3711 @t3274)) % 6.34/6.54 (define @t3713 () (@list @t2 @t127 @t1235 @t30)) % 6.34/6.54 (define @t3714 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t3696) @t3710))) % 6.34/6.54 (define @t3715 () (=> @t2988 (= @t3708 (tptp.hAPP tptp.c_Nat_OSuc @t3696)))) % 6.34/6.54 (define @t3716 () (tptp.hAPP @t3695 @t3464)) % 6.34/6.54 (define @t3717 () (tptp.hAPP @t3695 @t3150)) % 6.34/6.54 (define @t3718 () (tptp.hAPP (tptp.hAPP @t301 @t3717) @t3716)) % 6.34/6.54 (define @t3719 () (tptp.hAPP @t301 @t3696)) % 6.34/6.54 (define @t3720 () (tptp.hAPP @t3719 @t3710)) % 6.34/6.54 (define @t3721 () (tptp.hAPP @t3697 @t3710)) % 6.34/6.54 (define @t3722 () (tptp.hAPP @t3695 @t2585)) % 6.34/6.54 (define @t3723 () (tptp.hAPP tptp.c_Nat_OSuc @t3698)) % 6.34/6.54 (define @t3724 () (= @t3717 @t3720)) % 6.34/6.54 (define @t3725 () (= @t933 @t214)) % 6.34/6.54 (define @t3726 () (tptp.hBOOL (tptp.hAPP @t2789 @t3464))) % 6.34/6.54 (define @t3727 () (@var "B_B" $$unsorted)) % 6.34/6.54 (define @t3728 () (tptp.hAPP @t2788 @t2400)) % 6.34/6.54 (define @t3729 () (tptp.hAPP @t3469 @t4)) % 6.34/6.54 (define @t3730 () (tptp.hAPP (tptp.hAPP @t626 @t1539) @t901)) % 6.34/6.54 (define @t3731 () (tptp.hAPP @t1454 @t1586)) % 6.34/6.54 (define @t3732 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1539 @t1586)) % 6.34/6.54 (define @t3733 () (@list @t1586 @t1539)) % 6.34/6.54 (define @t3734 () (tptp.c_Sum__Type_OPlus @t30 @t127 @t1235 @t1473)) % 6.34/6.54 (define @t3735 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t2684) @t3734)) % 6.34/6.54 (define @t3736 () (and @t3403 @t3418)) % 6.34/6.54 (define @t3737 () (tptp.hAPP @t3711 @t1473)) % 6.34/6.54 (define @t3738 () (= @t3735 (tptp.hAPP @t3719 @t3737))) % 6.34/6.54 (define @t3739 () (@list @t1473 @t127 @t1235 @t30)) % 6.34/6.54 (define @t3740 () (tptp.hAPP @t3695 @t3028)) % 6.34/6.54 (define @t3741 () (tptp.c_Power_Opower__class_Opower @t127)) % 6.34/6.54 (define @t3742 () (tptp.hAPP @t3741 @t25)) % 6.34/6.54 (define @t3743 () (tptp.tc_fun @t127 @t127)) % 6.34/6.54 (define @t3744 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t127 @t3743) @t30) (tptp.c_If @t127))) % 6.34/6.54 (define @t3745 () (tptp.c_COMBS @t30 @t127 @t3743)) % 6.34/6.54 (define @t3746 () (tptp.c_COMBC @t30 @t127 @t127)) % 6.34/6.54 (define @t3747 () (tptp.hAPP @t3746 (tptp.hAPP (tptp.hAPP @t3745 (tptp.hAPP @t3744 @t2782)) @t64))) % 6.34/6.54 (define @t3748 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t30 @t127)) % 6.34/6.54 (define @t3749 () (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP @t3747 @t25)) @t3028)) % 6.34/6.54 (define @t3750 () (tptp.hBOOL (tptp.hAPP @t3002 @t3028))) % 6.34/6.54 (define @t3751 () (not @t3750)) % 6.34/6.54 (define @t3752 () (tptp.hAPP @t64 @t140)) % 6.34/6.54 (define @t3753 () (tptp.c_Groups_Otimes__class_Otimes @t127)) % 6.34/6.54 (define @t3754 () (tptp.class_Groups_Ocomm__monoid__mult @t127)) % 6.34/6.54 (define @t3755 () (tptp.c_Sum__Type_OInr @t30 @t127)) % 6.34/6.54 (define @t3756 () (tptp.tc_sum @t127 @t30)) % 6.34/6.54 (define @t3757 () (tptp.hBOOL (tptp.hAPP @t3036 @t1473))) % 6.34/6.54 (define @t3758 () (@list @t1473 @t127 @t1235 @t140 @t30)) % 6.34/6.54 (define @t3759 () (tptp.c_COMBB @t30 @t30 @t127)) % 6.34/6.54 (define @t3760 () (tptp.hAPP (tptp.hAPP @t3759 @t1644) @t2)) % 6.34/6.54 (define @t3761 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t127 @t30)) % 6.34/6.54 (define @t3762 () (tptp.hAPP @t3761 @t2)) % 6.34/6.54 (define @t3763 () (tptp.hAPP @t3762 @t1235)) % 6.34/6.54 (define @t3764 () (tptp.hAPP @t3761 @t1)) % 6.34/6.54 (define @t3765 () (tptp.c_COMBB @t30 @t2265 @t127)) % 6.34/6.54 (define @t3766 () (tptp.hAPP (tptp.hAPP @t3765 @t776) @t2)) % 6.34/6.54 (define @t3767 () (tptp.c_COMBS @t127 @t30 @t30)) % 6.34/6.54 (define @t3768 () (tptp.class_Groups_Ocomm__monoid__mult @t30)) % 6.34/6.54 (define @t3769 () (@list @t1235 @t1 @t2 @t127 @t30)) % 6.34/6.54 (define @t3770 () (@list @t1235 @t127 @t30)) % 6.34/6.54 (define @t3771 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t30) @t623) @t2)) % 6.34/6.54 (define @t3772 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t30 tptp.tc_Int_Oint)) % 6.34/6.54 (define @t3773 () (tptp.hAPP (tptp.hAPP @t3772 @t3771) @t1235)) % 6.34/6.54 (define @t3774 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t30 tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t3775 () (tptp.hAPP @t3774 @t2)) % 6.34/6.54 (define @t3776 () (tptp.hAPP @t3775 @t1235)) % 6.34/6.54 (define @t3777 () (@list @t1235 @t2 @t30)) % 6.34/6.54 (define @t3778 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t30 @t127) @t616) @t2)) % 6.34/6.54 (define @t3779 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t30 @t127) @t705) @t2)) % 6.34/6.54 (define @t3780 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t30)) % 6.34/6.54 (define @t3781 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t30)) % 6.34/6.54 (define @t3782 () (tptp.class_Groups_Ocomm__monoid__add @t30)) % 6.34/6.54 (define @t3783 () (and @t3782 @t3768)) % 6.34/6.54 (define @t3784 () (tptp.c_Groups_Ozero__class_Ozero @t127)) % 6.34/6.54 (define @t3785 () (= @t6 @t3784)) % 6.34/6.54 (define @t3786 () (exists @t8 (and @t3020 @t3785))) % 6.34/6.54 (define @t3787 () (tptp.hAPP @t3748 @t2)) % 6.34/6.54 (define @t3788 () (tptp.hAPP @t3787 @t1235)) % 6.34/6.54 (define @t3789 () (= @t3788 @t3784)) % 6.34/6.54 (define @t3790 () (tptp.class_Rings_Ocomm__semiring__1 @t127)) % 6.34/6.54 (define @t3791 () (@list @t2 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3792 () (@list @t1 @t127 @t30)) % 6.34/6.54 (define @t3793 () (@list @t2 @t127 @t30)) % 6.34/6.54 (define @t3794 () (tptp.c_Groups_Oone__class_Oone @t127)) % 6.34/6.54 (define @t3795 () (tptp.hAPP @t3748 @t1)) % 6.34/6.54 (define @t3796 () (tptp.hAPP @t3795 @t1235)) % 6.34/6.54 (define @t3797 () (=> @t3705 (= @t3796 @t3794))) % 6.34/6.54 (define @t3798 () (@list @t1 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3799 () (= @t6 @t933)) % 6.34/6.54 (define @t3800 () (tptp.hBOOL (tptp.hAPP @t2789 @t3404))) % 6.34/6.54 (define @t3801 () (@list @t2 @t3404 @t30)) % 6.34/6.54 (define @t3802 () (= @t1473 @t3290)) % 6.34/6.54 (define @t3803 () (tptp.tc_fun @t2684 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3804 () (@list @t1473 @t1235 @t127 @t30)) % 6.34/6.54 (define @t3805 () (tptp.c_Finite__Set_Ofinite @t2684)) % 6.34/6.54 (define @t3806 () (tptp.hBOOL (tptp.hAPP @t3805 @t3734))) % 6.34/6.54 (define @t3807 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t30 tptp.tc_Nat_Onat) @t2) @t623)) % 6.34/6.54 (define @t3808 () (tptp.hAPP (tptp.hAPP @t3780 @t2) @t1235)) % 6.34/6.54 (define @t3809 () (@list @t2 @t1235 @t30)) % 6.34/6.54 (define @t3810 () (tptp.hAPP @t3753 @t3796)) % 6.34/6.54 (define @t3811 () (tptp.c_COMBB @t127 @t3743 @t30)) % 6.34/6.54 (define @t3812 () (tptp.c_COMBS @t30 @t127 @t127)) % 6.34/6.54 (define @t3813 () (tptp.hAPP (tptp.hAPP @t3812 (tptp.hAPP (tptp.hAPP @t3811 @t3753) @t1)) @t218)) % 6.34/6.54 (define @t3814 () (@list @t218 @t1 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3815 () (tptp.c_Rings_Oinverse__class_Odivide @t127)) % 6.34/6.54 (define @t3816 () (tptp.hAPP @t3815 @t3788)) % 6.34/6.54 (define @t3817 () (@list @t1 @t2 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3818 () (tptp.hAPP @t2 @t178)) % 6.34/6.54 (define @t3819 () (tptp.c_Rings_Odvd__class_Odvd @t127)) % 6.34/6.54 (define @t3820 () (tptp.hBOOL (tptp.hAPP @t3583 @t1235))) % 6.34/6.54 (define @t3821 () (tptp.hBOOL (tptp.hAPP @t475 @t6))) % 6.34/6.54 (define @t3822 () (tptp.hBOOL (tptp.hAPP @t2789 @t3028))) % 6.34/6.54 (define @t3823 () (forall @t8 (=> @t3822 @t3821))) % 6.34/6.54 (define @t3824 () (tptp.hBOOL (tptp.hAPP @t475 (tptp.hAPP @t3775 @t3028)))) % 6.34/6.54 (define @t3825 () (@list @t2 @t3028 @t30)) % 6.34/6.54 (define @t3826 () (tptp.hAPP @t3787 @t1473)) % 6.34/6.54 (define @t3827 () (tptp.hAPP @t3819 @t3788)) % 6.34/6.54 (define @t3828 () (@list @t2 @t1235 @t1473 @t30 @t127)) % 6.34/6.54 (define @t3829 () (tptp.hAPP @t937 @t1539)) % 6.34/6.54 (define @t3830 () (tptp.hBOOL (tptp.hAPP @t3829 @t327))) % 6.34/6.54 (define @t3831 () (@list @t327 @t1539 @t30)) % 6.34/6.54 (define @t3832 () (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP @t3747 @t3794)) @t3028)) % 6.34/6.54 (define @t3833 () (@list @t64 @t140 @t3028 @t30 @t127)) % 6.34/6.54 (define @t3834 () (tptp.hAPP @t3746 (tptp.hAPP (tptp.hAPP @t3745 (tptp.hAPP @t3744 @t2470)) @t64))) % 6.34/6.54 (define @t3835 () (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP @t3834 @t3794)) @t3028)) % 6.34/6.54 (define @t3836 () (@list @t2 @t140 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3837 () (tptp.hAPP @t3753 @t1214)) % 6.34/6.54 (define @t3838 () (tptp.hAPP @t3795 @t2825)) % 6.34/6.54 (define @t3839 () (@list @t1 @t378 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3840 () (tptp.hAPP @t3795 @t1473)) % 6.34/6.54 (define @t3841 () (tptp.hAPP @t3810 @t3840)) % 6.34/6.54 (define @t3842 () (tptp.hAPP @t3795 @t3150)) % 6.34/6.54 (define @t3843 () (@list @t1 @t1473 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3844 () (tptp.hAPP @t2520 @t64)) % 6.34/6.54 (define @t3845 () (tptp.hAPP @t3844 @t819)) % 6.34/6.54 (define @t3846 () (tptp.hAPP @t3687 @t25)) % 6.34/6.54 (define @t3847 () (tptp.hAPP @t3837 (tptp.hAPP @t3795 @t2990))) % 6.34/6.54 (define @t3848 () (@list @t378 @t1 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3849 () (= @t3842 @t3841)) % 6.34/6.54 (define @t3850 () (tptp.hAPP @t3787 @t2919)) % 6.34/6.54 (define @t3851 () (tptp.class_Fields_Ofield @t127)) % 6.34/6.54 (define @t3852 () (@list @t2 @t1473 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3853 () (@var "V_T_2" $$unsorted)) % 6.34/6.54 (define @t3854 () (tptp.hAPP @t3787 @t3853)) % 6.34/6.54 (define @t3855 () (tptp.hAPP @t3787 @t3028)) % 6.34/6.54 (define @t3856 () (tptp.hAPP (tptp.hAPP @t3148 @t3028) @t3853)) % 6.34/6.54 (define @t3857 () (= @t6 @t3794)) % 6.34/6.54 (define @t3858 () (tptp.hBOOL (tptp.hAPP @t2789 (tptp.hAPP (tptp.hAPP @t3462 @t3028) @t3853)))) % 6.34/6.54 (define @t3859 () (forall @t8 (=> @t3858 @t3857))) % 6.34/6.54 (define @t3860 () (tptp.hBOOL (tptp.hAPP @t3391 @t3853))) % 6.34/6.54 (define @t3861 () (@list @t2 @t3853 @t3028 @t30 @t127)) % 6.34/6.54 (define @t3862 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1539 @t1586)) % 6.34/6.54 (define @t3863 () (tptp.hAPP tptp.c_Nat_OSuc @t1539)) % 6.34/6.54 (define @t3864 () (tptp.hAPP @t1459 @t1586)) % 6.34/6.54 (define @t3865 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t30) tptp.c_Int_Onat) @t2)) % 6.34/6.54 (define @t3866 () (forall @t8 (=> @t3020 (tptp.c_Nat__Transfer_Ois__nat @t6)))) % 6.34/6.54 (define @t3867 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t1539 @t1586)) % 6.34/6.54 (define @t3868 () (tptp.hAPP (tptp.hAPP @t2817 @t1586) @t2815)) % 6.34/6.54 (define @t3869 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t1539 @t1586)) % 6.34/6.54 (define @t3870 () (tptp.hAPP @t3148 @t3869)) % 6.34/6.54 (define @t3871 () (tptp.hAPP @t507 @t1539)) % 6.34/6.54 (define @t3872 () (tptp.hBOOL (tptp.hAPP @t3871 @t1586))) % 6.34/6.54 (define @t3873 () (@list @t1586 @t1539 @t30)) % 6.34/6.54 (define @t3874 () (tptp.c_COMBB @t2371 @t2371 @t30)) % 6.34/6.54 (define @t3875 () (tptp.tc_fun @t2944 @t2944)) % 6.34/6.54 (define @t3876 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1539 @t1586)) % 6.34/6.54 (define @t3877 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1539 @t1586)) % 6.34/6.54 (define @t3878 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t2742)) % 6.34/6.54 (define @t3879 () (tptp.hAPP @t3878 @t1235)) % 6.34/6.54 (define @t3880 () (tptp.hAPP @t3879 @t1473)) % 6.34/6.54 (define @t3881 () (tptp.hBOOL (tptp.hAPP @t3880 @t64))) % 6.34/6.54 (define @t3882 () (tptp.hAPP @t1473 @t140)) % 6.34/6.54 (define @t3883 () (tptp.hAPP @t3882 @t64)) % 6.34/6.54 (define @t3884 () (tptp.hBOOL @t3883)) % 6.34/6.54 (define @t3885 () (tptp.hAPP @t1473 @t4)) % 6.34/6.54 (define @t3886 () (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP @t3406 @t3885))))) % 6.34/6.54 (define @t3887 () (tptp.hBOOL (tptp.hAPP @t3406 @t3880))) % 6.34/6.54 (define @t3888 () (tptp.hAPP @t3885 @t64)) % 6.34/6.54 (define @t3889 () (tptp.hBOOL @t3888)) % 6.34/6.54 (define @t3890 () (@list @t64 @t1473 @t1235 @t127 @t30)) % 6.34/6.54 (define @t3891 () (tptp.c_COMBB @t2742 @t2371 @t465)) % 6.34/6.54 (define @t3892 () (tptp.hAPP (tptp.hAPP @t3891 @t3351) @t1473)) % 6.34/6.54 (define @t3893 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t2371)) % 6.34/6.54 (define @t3894 () (tptp.hAPP @t3893 @t1235)) % 6.34/6.54 (define @t3895 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t2742) @t1235) @t1473)) % 6.34/6.54 (define @t3896 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t327 @t1539)) % 6.34/6.54 (define @t3897 () (= @t3896 @t2815)) % 6.34/6.54 (define @t3898 () (tptp.hAPP @t507 @t327)) % 6.34/6.54 (define @t3899 () (not (tptp.hBOOL (tptp.hAPP @t3898 @t1539)))) % 6.34/6.54 (define @t3900 () (@list @t1539 @t327 @t30)) % 6.34/6.54 (define @t3901 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t325 @t1586)) % 6.34/6.54 (define @t3902 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t1539 @t325)) % 6.34/6.54 (define @t3903 () (tptp.hAPP @t3148 @t3902)) % 6.34/6.54 (define @t3904 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t325) @t1586))) % 6.34/6.54 (define @t3905 () (tptp.hBOOL (tptp.hAPP @t3829 @t325))) % 6.34/6.54 (define @t3906 () (@list @t1586 @t325 @t1539 @t30)) % 6.34/6.54 (define @t3907 () (tptp.hAPP @t3462 @t3902)) % 6.34/6.54 (define @t3908 () (tptp.hAPP @t3864 @t1539)) % 6.34/6.54 (define @t3909 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t2742 @t2742) @t3287) @t3290)) % 6.34/6.54 (define @t3910 () (tptp.c_COMBB @t2742 @t2371 @t127)) % 6.34/6.54 (define @t3911 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t2371)) % 6.34/6.54 (define @t3912 () (tptp.hAPP @t3911 @t1473)) % 6.34/6.54 (define @t3913 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t325 @t1586)) % 6.34/6.54 (define @t3914 () (tptp.hAPP @t3731 @t1539)) % 6.34/6.54 (define @t3915 () (tptp.hAPP tptp.c_Int_Onat @t3914)) % 6.34/6.54 (define @t3916 () (tptp.hAPP @t507 @t325)) % 6.34/6.54 (define @t3917 () (tptp.hBOOL (tptp.hAPP @t3916 @t1586))) % 6.34/6.54 (define @t3918 () (tptp.hBOOL (tptp.hAPP @t3286 @t3882))) % 6.34/6.54 (define @t3919 () (@list @t1473 @t64 @t127 @t1235 @t140 @t30)) % 6.34/6.54 (define @t3920 () (tptp.tc_fun @t2371 @t2371)) % 6.34/6.54 (define @t3921 () (tptp.c_COMBC @t127 @t2371 @t2371)) % 6.34/6.54 (define @t3922 () (tptp.hAPP @t3911 @t1235)) % 6.34/6.54 (define @t3923 () (tptp.c_Equiv__Relations_Ocongruent @t30 @t2742 @t2033 @t2)) % 6.34/6.54 (define @t3924 () (tptp.hAPP @t3922 @t1473)) % 6.34/6.54 (define @t3925 () (tptp.c_COMBB @t127 @t2742 @t30)) % 6.34/6.54 (define @t3926 () (tptp.hAPP (tptp.hAPP @t3925 tptp.c_fequal) @t2)) % 6.34/6.54 (define @t3927 () (tptp.c_COMBB @t127 tptp.tc_HOL_Obool @t30)) % 6.34/6.54 (define @t3928 () (tptp.tc_fun @t1206 @t2371)) % 6.34/6.54 (define @t3929 () (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t30 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t3930 () (tptp.hAPP @t3065 @t4)) % 6.34/6.54 (define @t3931 () (tptp.hBOOL (tptp.hAPP @t3930 @t2033))) % 6.34/6.54 (define @t3932 () (tptp.c_Equiv__Relations_Ocongruent @t30 @t127 @t2033 @t2)) % 6.34/6.54 (define @t3933 () (tptp.c_COMBC @t127 @t465 @t30)) % 6.34/6.54 (define @t3934 () (tptp.hAPP @t3933 @t2)) % 6.34/6.54 (define @t3935 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t30)) % 6.34/6.54 (define @t3936 () (tptp.hAPP @t3935 @t1235)) % 6.34/6.54 (define @t3937 () (tptp.c_COMBB @t1237 @t30 @t465)) % 6.34/6.54 (define @t3938 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t30) @t1473)) % 6.34/6.54 (define @t3939 () (tptp.tc_fun @t465 @t30)) % 6.34/6.54 (define @t3940 () (tptp.c_COMBB @t3939 @t30 @t127)) % 6.34/6.54 (define @t3941 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t30)) % 6.34/6.54 (define @t3942 () (@list @t2 @t1473 @t465 @t1235 @t127 @t30)) % 6.34/6.54 (define @t3943 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t2475)) % 6.34/6.54 (define @t3944 () (tptp.hAPP (tptp.hAPP @t3943 @t1235) @t1473)) % 6.34/6.54 (define @t3945 () (tptp.tc_fun @t465 @t2371)) % 6.34/6.54 (define @t3946 () (tptp.c_COMBB @t2475 (tptp.tc_fun @t3945 @t2371) @t127)) % 6.34/6.54 (define @t3947 () (tptp.c_COMBC @t127 @t3945 @t2371)) % 6.34/6.54 (define @t3948 () (@list @t2588 @t1473 @t465 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3949 () (tptp.tc_fun @t127 @t2371)) % 6.34/6.54 (define @t3950 () (tptp.c_COMBB @t2742 (tptp.tc_fun @t3949 @t2371) @t465)) % 6.34/6.54 (define @t3951 () (tptp.c_COMBC @t465 @t3949 @t2371)) % 6.34/6.54 (define @t3952 () (@list @t2588 @t1473 @t1235 @t465 @t30 @t127)) % 6.34/6.54 (define @t3953 () (tptp.hAPP @t2 @t628)) % 6.34/6.54 (define @t3954 () (tptp.hAPP @t3061 @t696)) % 6.34/6.54 (define @t3955 () (tptp.hAPP @t3065 (tptp.hAPP @t3954 @t628))) % 6.34/6.54 (define @t3956 () (tptp.hAPP @t3622 @t4)) % 6.34/6.54 (define @t3957 () (and @t3941 @t1228)) % 6.34/6.54 (define @t3958 () (tptp.hBOOL (tptp.hAPP @t3036 @t3885))) % 6.34/6.54 (define @t3959 () (@list @t1473 @t1235 @t127 @t64 @t30)) % 6.34/6.54 (define @t3960 () (tptp.hAPP @t3299 @t3622)) % 6.34/6.54 (define @t3961 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t127)) % 6.34/6.54 (define @t3962 () (tptp.hAPP @t3961 @t1235)) % 6.34/6.54 (define @t3963 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t127)) % 6.34/6.54 (define @t3964 () (@list @t3622 @t30 @t1235 @t127)) % 6.34/6.54 (define @t3965 () (forall @t8 (=> @t3284 (= @t3885 @t2815)))) % 6.34/6.54 (define @t3966 () (@list @t1473 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3967 () (tptp.c_COMBK @t2742 @t30)) % 6.34/6.54 (define @t3968 () (tptp.hAPP @t3967 @t25)) % 6.34/6.54 (define @t3969 () (tptp.hAPP @t3879 @t3968)) % 6.34/6.54 (define @t3970 () (tptp.c_COMBK @t2371 @t127)) % 6.34/6.54 (define @t3971 () (@var "V_I_2" $$unsorted)) % 6.34/6.54 (define @t3972 () (tptp.hBOOL (tptp.hAPP @t3283 @t3971))) % 6.34/6.54 (define @t3973 () (tptp.hAPP @t3911 @t3971)) % 6.34/6.54 (define @t3974 () (tptp.hAPP @t3973 @t1235)) % 6.34/6.54 (define @t3975 () (@list @t1473 @t1235 @t3971 @t127 @t30)) % 6.34/6.54 (define @t3976 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t2371 @t465) @t1473) @t2)) % 6.34/6.54 (define @t3977 () (tptp.hAPP (tptp.c_Set_Oimage @t465 @t127 @t2) @t1235)) % 6.34/6.54 (define @t3978 () (@list @t1473 @t1235 @t2 @t465 @t30 @t127)) % 6.34/6.54 (define @t3979 () (tptp.hAPP (tptp.c_Set_Oimage @t127 @t465 @t2) @t1235)) % 6.34/6.54 (define @t3980 () (tptp.hAPP @t3893 @t3979)) % 6.34/6.54 (define @t3981 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t2371 @t127) @t1473) @t2)) % 6.34/6.54 (define @t3982 () (@list @t2 @t1473 @t465 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3983 () (@list @t3622 @t1473 @t1235 @t30 @t127)) % 6.34/6.54 (define @t3984 () (tptp.c_COMBB @t2371 @t3920 @t127)) % 6.34/6.54 (define @t3985 () (tptp.hAPP (tptp.hAPP @t3984 @t3148) @t1235)) % 6.34/6.54 (define @t3986 () (tptp.c_COMBS @t127 @t2371 @t2371)) % 6.34/6.54 (define @t3987 () (tptp.hAPP (tptp.hAPP @t3986 @t3985) @t1473)) % 6.34/6.54 (define @t3988 () (@list @t1473 @t1235 @t3971 @t30 @t127)) % 6.34/6.54 (define @t3989 () (tptp.hAPP (tptp.hAPP @t3984 @t3462) @t1235)) % 6.34/6.54 (define @t3990 () (tptp.c_COMBB @t2371 @t2371 @t465)) % 6.34/6.54 (define @t3991 () (tptp.hAPP (tptp.c_COMBB @t3920 (tptp.tc_fun @t3945 @t3945) @t127) @t3990)) % 6.34/6.54 (define @t3992 () (tptp.c_COMBC @t127 @t3945 @t3945)) % 6.34/6.54 (define @t3993 () (@var "V_J_2" $$unsorted)) % 6.34/6.54 (define @t3994 () (tptp.hAPP @t3893 @t3993)) % 6.34/6.54 (define @t3995 () (tptp.c_COMBB @t3945 @t2371 @t127)) % 6.34/6.54 (define @t3996 () (@list @t1473 @t3993 @t465 @t1235 @t3971 @t127 @t30)) % 6.34/6.54 (define @t3997 () (tptp.hAPP @t3911 @t2588)) % 6.34/6.54 (define @t3998 () (tptp.hAPP @t3997 (tptp.hAPP (tptp.hAPP @t3921 @t3989) @t1473))) % 6.34/6.54 (define @t3999 () (tptp.hAPP @t3997 @t1235)) % 6.34/6.54 (define @t4000 () (tptp.hAPP (tptp.hAPP @t3462 @t3999) @t1473)) % 6.34/6.54 (define @t4001 () (@list @t1473 @t1235 @t2588 @t127 @t30)) % 6.34/6.54 (define @t4002 () (tptp.c_COMBB @t2371 @t2371 @t127)) % 6.34/6.54 (define @t4003 () (@list @t1235 @t3971 @t127 @t1473 @t30)) % 6.34/6.54 (define @t4004 () (tptp.hAPP @t3997 (tptp.hAPP (tptp.hAPP @t4002 @t3463) @t1473))) % 6.34/6.54 (define @t4005 () (tptp.hAPP @t3463 (tptp.hAPP @t3997 @t1473))) % 6.34/6.54 (define @t4006 () (@list @t1473 @t2588 @t127 @t1235 @t30)) % 6.34/6.54 (define @t4007 () (@list @t1473 @t1235 @t2588 @t30 @t127)) % 6.34/6.54 (define @t4008 () (tptp.hAPP @t3934 @t378)) % 6.34/6.54 (define @t4009 () (@list @t378 @t2 @t1235 @t465 @t127 @t30)) % 6.34/6.54 (define @t4010 () (tptp.hAPP @t3997 (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3984 @t2583) @t1235)) @t1473))) % 6.34/6.54 (define @t4011 () (tptp.hAPP (tptp.hAPP @t2583 @t3999) @t1473)) % 6.34/6.54 (define @t4012 () (tptp.hAPP @t3962 @t2)) % 6.34/6.54 (define @t4013 () (tptp.hAPP @t3622 @t178)) % 6.34/6.54 (define @t4014 () (@list @t3622 @t1235 @t178 @t30 @t127)) % 6.34/6.54 (define @t4015 () (tptp.c_COMBB @t2742 @t2742 @t30)) % 6.34/6.54 (define @t4016 () (tptp.hAPP (tptp.hAPP @t4015 @t3288) @t1473)) % 6.34/6.54 (define @t4017 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t1586) @t1235))) % 6.34/6.54 (define @t4018 () (@list @t1473 @t140 @t127 @t1235 @t1586 @t30)) % 6.34/6.54 (define @t4019 () (tptp.hAPP (tptp.hAPP @t3878 @t3971) @t1235)) % 6.34/6.54 (define @t4020 () (tptp.hAPP @t1235 @t327)) % 6.34/6.54 (define @t4021 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t327) @t3971))) % 6.34/6.54 (define @t4022 () (@list @t1235 @t127 @t3971 @t327 @t30)) % 6.34/6.54 (define @t4023 () (tptp.hAPP @t3878 @t2588)) % 6.34/6.54 (define @t4024 () (tptp.hAPP @t4023 @t4016)) % 6.34/6.54 (define @t4025 () (tptp.hAPP @t4023 @t1473)) % 6.34/6.54 (define @t4026 () (tptp.hAPP @t3288 @t4025)) % 6.34/6.54 (define @t4027 () (= @t2588 @t2815)) % 6.34/6.54 (define @t4028 () (not @t4027)) % 6.34/6.54 (define @t4029 () (@list @t1473 @t140 @t127 @t30 @t2588)) % 6.34/6.54 (define @t4030 () (tptp.hAPP @t3269 @t4025)) % 6.34/6.54 (define @t4031 () (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t4015 @t3269) @t1473))) % 6.34/6.54 (define @t4032 () (@list @t1473 @t1235 @t127 @t30 @t2588)) % 6.34/6.54 (define @t4033 () (tptp.hAPP (tptp.hAPP @t3268 (tptp.hAPP @t4023 @t1235)) @t1473)) % 6.34/6.54 (define @t4034 () (tptp.c_COMBB @t2742 @t2775 @t30)) % 6.34/6.54 (define @t4035 () (tptp.hAPP (tptp.hAPP @t4034 @t3268) @t1235)) % 6.34/6.54 (define @t4036 () (tptp.hAPP @t4023 (tptp.hAPP (tptp.hAPP @t2777 @t4035) @t1473))) % 6.34/6.54 (define @t4037 () (tptp.hAPP @t3288 @t1235)) % 6.34/6.54 (define @t4038 () (@list @t1473 @t1235 @t140 @t30 @t127)) % 6.34/6.54 (define @t4039 () (@var "V_r2_2" $$unsorted)) % 6.34/6.54 (define @t4040 () (tptp.c_Relation_OImage @t127 @t127 @t4039)) % 6.34/6.54 (define @t4041 () (tptp.tc_fun @t127 @t2475)) % 6.34/6.54 (define @t4042 () (tptp.c_COMBB @t4041 @t2475 @t30)) % 6.34/6.54 (define @t4043 () (@var "V_r1_2" $$unsorted)) % 6.34/6.54 (define @t4044 () (@var "V_A2_2" $$unsorted)) % 6.34/6.54 (define @t4045 () (tptp.hAPP @t3263 @t140)) % 6.34/6.54 (define @t4046 () (tptp.c_Equiv__Relations_Ocongruent2 @t30 @t127 @t2475 @t4043 @t4039 @t2)) % 6.34/6.54 (define @t4047 () (tptp.c_Equiv__Relations_Oequiv @t127 @t4044 @t4039)) % 6.34/6.54 (define @t4048 () (@var "V_A1_2" $$unsorted)) % 6.34/6.54 (define @t4049 () (tptp.c_Equiv__Relations_Oequiv @t30 @t4048 @t4043)) % 6.34/6.54 (define @t4050 () (tptp.tc_fun @t3121 @t3121)) % 6.34/6.54 (define @t4051 () (tptp.tc_fun tptp.tc_Nat_Onat @t4050)) % 6.34/6.54 (define @t4052 () (tptp.tc_fun tptp.tc_Nat_Onat @t3121)) % 6.34/6.54 (define @t4053 () (tptp.hAPP tptp.c_Int_ORep__Integ @t628)) % 6.34/6.54 (define @t4054 () (tptp.hAPP @t2817 @t84)) % 6.34/6.54 (define @t4055 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t2475)) % 6.34/6.54 (define @t4056 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t4041)) % 6.34/6.54 (define @t4057 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4056 @t1235) @t1473) @t64) @t25))) % 6.34/6.54 (define @t4058 () (tptp.hBOOL (tptp.hAPP @t3883 @t25))) % 6.34/6.54 (define @t4059 () (tptp.hAPP tptp.c_Int_ORep__Integ @t378)) % 6.34/6.54 (define @t4060 () (@var "V_z2_2" $$unsorted)) % 6.34/6.54 (define @t4061 () (@var "V_z1_2" $$unsorted)) % 6.34/6.54 (define @t4062 () (@var "V_y2_2" $$unsorted)) % 6.34/6.54 (define @t4063 () (@var "V_y1_2" $$unsorted)) % 6.34/6.54 (define @t4064 () (tptp.c_Equiv__Relations_Ocongruent2 @t30 @t127 @t465 @t4043 @t4039 @t2)) % 6.34/6.54 (define @t4065 () (tptp.tc_fun tptp.tc_Nat_Onat @t2954)) % 6.34/6.54 (define @t4066 () (tptp.tc_fun tptp.tc_Nat_Onat @t2246)) % 6.34/6.54 (define @t4067 () (tptp.hAPP @t3065 (tptp.hAPP @t3062 @t412))) % 6.34/6.54 (define @t4068 () (tptp.hBOOL (tptp.hAPP @t4067 @t2033))) % 6.34/6.54 (define @t4069 () (tptp.hAPP @t2 @t412)) % 6.34/6.54 (define @t4070 () (= @t6 @t4069)) % 6.34/6.54 (define @t4071 () (tptp.hAPP @t2788 @t412)) % 6.34/6.54 (define @t4072 () (tptp.hBOOL (tptp.hAPP @t4071 @t1235))) % 6.34/6.54 (define @t4073 () (tptp.hAPP (tptp.hAPP @t3878 @t164) @t2)) % 6.34/6.54 (define @t4074 () (@var "V_X2_2" $$unsorted)) % 6.34/6.54 (define @t4075 () (@var "V_X1_2" $$unsorted)) % 6.34/6.54 (define @t4076 () (tptp.c_member @t2475)) % 6.34/6.54 (define @t4077 () (@var "B_x2" $$unsorted)) % 6.34/6.54 (define @t4078 () (tptp.c_member @t2742)) % 6.34/6.54 (define @t4079 () (tptp.hBOOL (tptp.hAPP @t3888 @t25))) % 6.34/6.54 (define @t4080 () (@list @t25 @t64 @t1473 @t1235 @t465 @t127 @t30)) % 6.34/6.54 (define @t4081 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t30 @t3064) @t3061) @t2221)) % 6.34/6.54 (define @t4082 () (tptp.c_Relation_OId__on @t30 @t1235)) % 6.34/6.54 (define @t4083 () (forall @t8 (=> @t3020 @t3067))) % 6.34/6.54 (define @t4084 () (tptp.hAPP @t3030 @t1235)) % 6.34/6.54 (define @t4085 () (tptp.hAPP @t2773 @t4084)) % 6.34/6.54 (define @t4086 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t30)) % 6.34/6.54 (define @t4087 () (tptp.hAPP (tptp.c_COMBB @t2251 @t3920 @t30) @t4086)) % 6.34/6.54 (define @t4088 () (tptp.hAPP @t2946 (tptp.hAPP @t4087 @t4085))) % 6.34/6.54 (define @t4089 () (tptp.c_Relation_Orefl__on @t30 @t1235 @t2033)) % 6.34/6.54 (define @t4090 () (tptp.c_Finite__Set_Ofold__image @t127 @t30 @t3753)) % 6.34/6.54 (define @t4091 () (tptp.hAPP @t4090 @t1)) % 6.34/6.54 (define @t4092 () (tptp.hAPP @t4091 @t3794)) % 6.34/6.54 (define @t4093 () (tptp.hAPP @t4092 @t1235)) % 6.34/6.54 (define @t4094 () (tptp.hAPP @t3753 @t4093)) % 6.34/6.54 (define @t4095 () (tptp.hAPP @t4094 (tptp.hAPP @t4092 @t1473))) % 6.34/6.54 (define @t4096 () (tptp.hAPP @t4092 @t3150)) % 6.34/6.54 (define @t4097 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t30 @t127 @t2) @t1)) % 6.34/6.54 (define @t4098 () (tptp.hAPP @t4097 @t628)) % 6.34/6.54 (define @t4099 () (tptp.tc_fun @t30 @t2251)) % 6.34/6.54 (define @t4100 () (tptp.hAPP (tptp.c_COMBB @t2371 @t4099 @t30) @t2773)) % 6.34/6.54 (define @t4101 () (tptp.hAPP @t4098 @t1235)) % 6.34/6.54 (define @t4102 () (tptp.c_Relation_Orefl__on @t30 @t1473 @t61)) % 6.34/6.54 (define @t4103 () (@list @t61 @t1473 @t2033 @t1235 @t30)) % 6.34/6.54 (define @t4104 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3071)) % 6.34/6.54 (define @t4105 () (tptp.hAPP @t4104 @t2033)) % 6.34/6.54 (define @t4106 () (tptp.hAPP @t4090 @t218)) % 6.34/6.54 (define @t4107 () (tptp.hAPP @t3065 (tptp.hAPP @t3104 @t140))) % 6.34/6.54 (define @t4108 () (tptp.hBOOL (tptp.hAPP @t4107 @t2033))) % 6.34/6.54 (define @t4109 () (tptp.hAPP @t4091 @t628)) % 6.34/6.54 (define @t4110 () (tptp.hAPP @t4109 @t1235)) % 6.34/6.54 (define @t4111 () (tptp.hAPP @t1 @t140)) % 6.34/6.54 (define @t4112 () (tptp.class_Groups_Oab__semigroup__mult @t127)) % 6.34/6.54 (define @t4113 () (=> @t3403 (= @t3796 @t4093))) % 6.34/6.54 (define @t4114 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t30) @t933)) % 6.34/6.54 (define @t4115 () (=> @t3403 (= @t3696 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t30 @t301) @t4114) @t214) @t1235)))) % 6.34/6.54 (define @t4116 () (tptp.hAPP @t3404 @t1)) % 6.34/6.54 (define @t4117 () (tptp.hAPP @t4116 @t1235)) % 6.34/6.54 (define @t4118 () (=> (not @t3444) (= @t4117 @t628))) % 6.34/6.54 (define @t4119 () (=> @t3444 (= @t4117 @t4101))) % 6.34/6.54 (define @t4120 () (tptp.c_Big__Operators_Ocomm__monoid__big @t30 @t127 @t2 @t628 @t3404)) % 6.34/6.54 (define @t4121 () (@list @t1 @t1235 @t3404 @t628 @t2 @t127 @t30)) % 6.34/6.54 (define @t4122 () (tptp.hAPP (tptp.hAPP @t4090 @t2) @t3794)) % 6.34/6.54 (define @t4123 () (tptp.hAPP @t4122 @t3028)) % 6.34/6.54 (define @t4124 () (tptp.c_Set_Oimage @t30 @t30 @t218)) % 6.34/6.54 (define @t4125 () (tptp.hAPP @t4124 @t3455)) % 6.34/6.54 (define @t4126 () (not (= @t3455 @t2815))) % 6.34/6.54 (define @t4127 () (tptp.hAPP @t218 @t412)) % 6.34/6.54 (define @t4128 () (tptp.hAPP @t218 @t4)) % 6.34/6.54 (define @t4129 () (forall @t2509 (= (tptp.hAPP @t218 @t3651) (tptp.hAPP (tptp.hAPP @t2644 @t4128) @t4127)))) % 6.34/6.54 (define @t4130 () (@list @t3455 @t218 @t30)) % 6.34/6.54 (define @t4131 () (forall @t2509 (= (tptp.hAPP @t218 @t3672) (tptp.hAPP (tptp.hAPP @t2520 @t4128) @t4127)))) % 6.34/6.54 (define @t4132 () (tptp.hBOOL (tptp.hAPP @t2789 (tptp.hAPP (tptp.hAPP @t2583 @t3853) @t3028)))) % 6.34/6.54 (define @t4133 () (forall @t8 (=> @t4132 @t3857))) % 6.34/6.54 (define @t4134 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3028) @t3853))) % 6.34/6.54 (define @t4135 () (@list @t2 @t3028 @t3853 @t30 @t127)) % 6.34/6.54 (define @t4136 () (tptp.c_Set_OPow @t30)) % 6.34/6.54 (define @t4137 () (tptp.hAPP @t4136 @t1235)) % 6.34/6.54 (define @t4138 () (tptp.c_Finite__Set_Ocard @t2371)) % 6.34/6.54 (define @t4139 () (tptp.hAPP @t4136 @t1473)) % 6.34/6.54 (define @t4140 () (tptp.hAPP @t3469 @t1235)) % 6.34/6.54 (define @t4141 () (tptp.hBOOL (tptp.hAPP @t4140 @t4139))) % 6.34/6.54 (define @t4142 () (tptp.c_Finite__Set_Ofinite @t2371)) % 6.34/6.54 (define @t4143 () (tptp.hAPP (tptp.c_Set_Oimage @t2742 @t2371 @t3261) (tptp.hAPP (tptp.c_Set_OPow @t127) @t1235))) % 6.34/6.54 (define @t4144 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2944)) % 6.34/6.54 (define @t4145 () (tptp.hAPP @t4144 @t4137)) % 6.34/6.54 (define @t4146 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2944)) % 6.34/6.54 (define @t4147 () (tptp.hAPP @t3469 @t378)) % 6.34/6.54 (define @t4148 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t2944 @t127) @t4136) @t1473)) % 6.34/6.54 (define @t4149 () (tptp.c_Fun_Oinj__on @t30 @t2944 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3071 @t2944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 (tptp.tc_fun @t3071 @t2944) @t30) @t3460) @t2947)) @t2033) @t1235)) % 6.34/6.54 (define @t4150 () (tptp.hBOOL (tptp.hAPP @t27 @t2815))) % 6.34/6.54 (define @t4151 () (tptp.hAPP @t2817 @t472)) % 6.34/6.54 (define @t4152 () (@var "B_A" $$unsorted)) % 6.34/6.54 (define @t4153 () (tptp.hAPP @t2788 @t472)) % 6.34/6.54 (define @t4154 () (tptp.hBOOL (tptp.hAPP @t4153 @t4152))) % 6.34/6.54 (define @t4155 () (@list @t472 @t4152)) % 6.34/6.54 (define @t4156 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t325 @t1586)) % 6.34/6.54 (define @t4157 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t1539 @t325)) % 6.34/6.54 (define @t4158 () (tptp.hAPP @t3148 @t4157)) % 6.34/6.54 (define @t4159 () (tptp.hBOOL (tptp.hAPP @t3871 @t325))) % 6.34/6.54 (define @t4160 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1539 @t1586)) % 6.34/6.54 (define @t4161 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1539 @t1586)) % 6.34/6.54 (define @t4162 () (tptp.hAPP (tptp.hAPP @t301 @t1545) @t327)) % 6.34/6.54 (define @t4163 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t178 @t1545)) % 6.34/6.54 (define @t4164 () (tptp.hAPP @t2604 @t301)) % 6.34/6.54 (define @t4165 () (tptp.hAPP @t4164 @t327)) % 6.34/6.54 (define @t4166 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4165)) % 6.34/6.54 (define @t4167 () (@list @t1545 @t178 @t327)) % 6.34/6.54 (define @t4168 () (tptp.hAPP tptp.c_Nat_OSuc @t1545)) % 6.34/6.54 (define @t4169 () (tptp.hAPP tptp.c_Nat_OSuc @t178)) % 6.34/6.54 (define @t4170 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 6.34/6.54 (define @t4171 () (@list @t1545 @t178)) % 6.34/6.54 (define @t4172 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t325 @t23)) % 6.34/6.54 (define @t4173 () (tptp.c_Fun_Oinj__on @t127 @t30 @t2 @t1235)) % 6.34/6.54 (define @t4174 () (= @t3712 @t3696)) % 6.34/6.54 (define @t4175 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t1235)) % 6.34/6.54 (define @t4176 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t378 @t696))) % 6.34/6.54 (define @t4177 () (not @t954)) % 6.34/6.54 (define @t4178 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t140 @t64)) % 6.34/6.54 (define @t4179 () (= @t4178 @t2815)) % 6.34/6.54 (define @t4180 () (tptp.hBOOL (tptp.hAPP @t982 @t819))) % 6.34/6.54 (define @t4181 () (tptp.hBOOL (tptp.hAPP @t1483 @t140))) % 6.34/6.54 (define @t4182 () (and @t4181 @t4180)) % 6.34/6.54 (define @t4183 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t25 @t819)) % 6.34/6.54 (define @t4184 () (tptp.c_Fun_Oinj__on @t30 @t30 @t2 @t1235)) % 6.34/6.54 (define @t4185 () (tptp.c_Set_Oimage @t30 @t30 @t2)) % 6.34/6.54 (define @t4186 () (tptp.hAPP @t4185 @t1235)) % 6.34/6.54 (define @t4187 () (tptp.hAPP @t3711 @t1235)) % 6.34/6.54 (define @t4188 () (tptp.hAPP tptp.c_Nat_OSuc @t1586)) % 6.34/6.54 (define @t4189 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t325 @t109)) % 6.34/6.54 (define @t4190 () (tptp.c_Set_Oimage @t127 @t30 @t1)) % 6.34/6.54 (define @t4191 () (tptp.hBOOL (tptp.hAPP @t3276 @t1473))) % 6.34/6.54 (define @t4192 () (tptp.hAPP @t3462 @t4178)) % 6.34/6.54 (define @t4193 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t1539 @t1586)) % 6.34/6.54 (define @t4194 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t1539 @t325)) % 6.34/6.54 (define @t4195 () (tptp.hAPP @t3148 @t4194)) % 6.34/6.54 (define @t4196 () (tptp.hAPP @t3462 @t4194)) % 6.34/6.54 (define @t4197 () (tptp.hAPP @t3462 @t4157)) % 6.34/6.54 (define @t4198 () (tptp.hAPP (tptp.hAPP @t626 @t178) @t901)) % 6.34/6.54 (define @t4199 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t178 @t1545)) % 6.34/6.54 (define @t4200 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1545) @t178))) % 6.34/6.54 (define @t4201 () (tptp.hBOOL (tptp.hAPP @t3709 @t3737))) % 6.34/6.54 (define @t4202 () (@var "B_f" $$unsorted)) % 6.34/6.54 (define @t4203 () (tptp.hAPP @t3275 (tptp.hAPP (tptp.c_Set_Oimage @t30 @t127 @t4202) @t1235))) % 6.34/6.54 (define @t4204 () (tptp.c_Fun_Oinj__on @t30 @t127 @t4202 @t1235)) % 6.34/6.54 (define @t4205 () (@list @t4202)) % 6.34/6.54 (define @t4206 () (tptp.hAPP @t3148 (tptp.hAPP (tptp.hAPP @t2817 @t1539) @t2815))) % 6.34/6.54 (define @t4207 () (tptp.hBOOL (tptp.hAPP @t3829 @t1586))) % 6.34/6.54 (define @t4208 () (tptp.hAPP @t3272 @t2585)) % 6.34/6.54 (define @t4209 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t1473)) % 6.34/6.54 (define @t4210 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t3150)) % 6.34/6.54 (define @t4211 () (tptp.hAPP @t3263 @t2416)) % 6.34/6.54 (define @t4212 () (@list @t1235 @t140 @t2 @t127 @t30)) % 6.34/6.54 (define @t4213 () (tptp.hAPP (tptp.c_COMBC @t127 @t30 @t2687) @t2607)) % 6.34/6.54 (define @t4214 () (tptp.hAPP @t2 @t3498)) % 6.34/6.54 (define @t4215 () (tptp.hBOOL (tptp.hAPP @t3501 @t1235))) % 6.34/6.54 (define @t4216 () (@list @t141 @t30)) % 6.34/6.54 (define @t4217 () (= @t668 @t2433)) % 6.34/6.54 (define @t4218 () (@list @t696 @t378 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t4219 () (= @t4217 @t894)) % 6.34/6.54 (define @t4220 () (not @t4217)) % 6.34/6.54 (define @t4221 () (@list @t1235 @t1473 @t2 @t127 @t30)) % 6.34/6.54 (define @t4222 () (= (= @t3274 @t3273) @t2499)) % 6.34/6.54 (define @t4223 () (= (tptp.hAPP @t3272 @t3464) (tptp.hAPP (tptp.hAPP @t3547 @t3274) @t3273))) % 6.34/6.54 (define @t4224 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t2588)) % 6.34/6.54 (define @t4225 () (@list @t1473 @t1235 @t2588 @t2 @t127 @t30)) % 6.34/6.54 (define @t4226 () (= @t4208 (tptp.hAPP (tptp.hAPP @t3295 @t3274) @t3273))) % 6.34/6.54 (define @t4227 () (@var "B_g" $$unsorted)) % 6.34/6.54 (define @t4228 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t214 @t23)) % 6.34/6.54 (define @t4229 () (tptp.hBOOL (tptp.hAPP @t3456 @t4228))) % 6.34/6.54 (define @t4230 () (tptp.hBOOL (tptp.hAPP @t27 @t476))) % 6.34/6.54 (define @t4231 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t476) @t23))) % 6.34/6.54 (define @t4232 () (@list @t27 @t23)) % 6.34/6.54 (define @t4233 () (tptp.hAPP @t1611 @t2587)) % 6.34/6.54 (define @t4234 () (tptp.hAPP @t897 @t69)) % 6.34/6.54 (define @t4235 () (tptp.hBOOL (tptp.hAPP @t4234 @t4))) % 6.34/6.54 (define @t4236 () (@var "B_xb" $$unsorted)) % 6.34/6.54 (define @t4237 () (tptp.hAPP @t3333 @t4236)) % 6.34/6.54 (define @t4238 () (@list @t4236)) % 6.34/6.54 (define @t4239 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t901 @t2587)) % 6.34/6.54 (define @t4240 () (tptp.hAPP @t3333 @t3498)) % 6.34/6.54 (define @t4241 () (tptp.hBOOL (tptp.hAPP @t4240 @t4239))) % 6.34/6.54 (define @t4242 () (forall @t3502 (=> @t4241 (forall @t4238 (=> (tptp.hBOOL (tptp.hAPP @t4237 @t1473)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t626 @t4236) @t3498)))))))) % 6.34/6.54 (define @t4243 () (tptp.hAPP @t1454 @t69)) % 6.34/6.54 (define @t4244 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3333 (tptp.hAPP @t4243 @t901)) @t1473))) % 6.34/6.54 (define @t4245 () (tptp.hBOOL (tptp.hAPP @t637 @t2587))) % 6.34/6.54 (define @t4246 () (@list @t1473 @t69 @t2587)) % 6.34/6.54 (define @t4247 () (tptp.hAPP @t1465 @t2587)) % 6.34/6.54 (define @t4248 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t4) @t69))) % 6.34/6.54 (define @t4249 () (forall @t3502 (=> @t4241 (forall @t4238 (=> (tptp.hBOOL (tptp.hAPP @t4237 @t1235)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t1454 @t4236) @t3498)))))))) % 6.34/6.54 (define @t4250 () (tptp.hAPP @t626 @t69)) % 6.34/6.54 (define @t4251 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3333 (tptp.hAPP @t4250 @t901)) @t1235))) % 6.34/6.54 (define @t4252 () (@list @t1235 @t69 @t2587)) % 6.34/6.54 (define @t4253 () (not (= @t4 @t69))) % 6.34/6.54 (define @t4254 () (tptp.hAPP @t3333 @t69)) % 6.34/6.54 (define @t4255 () (tptp.hBOOL (tptp.hAPP @t4254 @t1235))) % 6.34/6.54 (define @t4256 () (tptp.hBOOL (tptp.hAPP @t3382 @t4239))) % 6.34/6.54 (define @t4257 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t4) @t69))) % 6.34/6.54 (define @t4258 () (tptp.hBOOL (tptp.hAPP @t4254 @t1473))) % 6.34/6.54 (define @t4259 () (tptp.hAPP @t629 @t69)) % 6.34/6.54 (define @t4260 () (tptp.hBOOL (tptp.hAPP @t4259 @t4))) % 6.34/6.54 (define @t4261 () (@list @t69 @t1235 @t2587)) % 6.34/6.54 (define @t4262 () (@list @t69 @t1473 @t2587)) % 6.34/6.54 (define @t4263 () (tptp.hAPP @t2604 @t1459)) % 6.34/6.54 (define @t4264 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t4263 @t25)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t378) @t696))) % 6.34/6.54 (define @t4265 () (tptp.hAPP @t3615 @t214)) % 6.34/6.54 (define @t4266 () (tptp.hAPP @t4265 @t3339)) % 6.34/6.54 (define @t4267 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t25) @t696))) % 6.34/6.54 (define @t4268 () (tptp.hBOOL (tptp.hAPP @t2965 (tptp.hAPP (tptp.hAPP @t626 @t4233) @t69)))) % 6.34/6.54 (define @t4269 () (tptp.hBOOL (tptp.hAPP @t2965 (tptp.hAPP @t1465 @t69)))) % 6.34/6.54 (define @t4270 () (tptp.hBOOL (tptp.hAPP @t2965 @t2587))) % 6.34/6.54 (define @t4271 () (@list @t69 @t1473 @t2587 @t819)) % 6.34/6.54 (define @t4272 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1539)) % 6.34/6.54 (define @t4273 () (tptp.hAPP @t4272 @t1586)) % 6.34/6.54 (define @t4274 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t25) @t819)) % 6.34/6.54 (define @t4275 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t140) @t64)) % 6.34/6.54 (define @t4276 () (= @t4275 @t4274)) % 6.34/6.54 (define @t4277 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t214)) % 6.34/6.54 (define @t4278 () (tptp.hAPP @t4277 @t23)) % 6.34/6.54 (define @t4279 () (tptp.hBOOL (tptp.hAPP @t3456 @t4278))) % 6.34/6.54 (define @t4280 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t476) @t23))) % 6.34/6.54 (define @t4281 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t325)) % 6.34/6.54 (define @t4282 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t178)) % 6.34/6.54 (define @t4283 () (tptp.hAPP @t4282 @t1545)) % 6.34/6.54 (define @t4284 () (= @t4275 @t2815)) % 6.34/6.54 (define @t4285 () (not @t509)) % 6.34/6.54 (define @t4286 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t1539)) % 6.34/6.54 (define @t4287 () (tptp.hAPP @t4286 @t1586)) % 6.34/6.54 (define @t4288 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t325) @t1586)) % 6.34/6.54 (define @t4289 () (tptp.hAPP @t4286 @t325)) % 6.34/6.54 (define @t4290 () (tptp.hAPP @t3148 @t4289)) % 6.34/6.54 (define @t4291 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t178)) % 6.34/6.54 (define @t4292 () (tptp.hAPP @t937 @t178)) % 6.34/6.54 (define @t4293 () (tptp.hAPP @t3462 @t4289)) % 6.34/6.54 (define @t4294 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t327) (tptp.hAPP @t328 @t3703))) % 6.34/6.54 (define @t4295 () (tptp.hAPP @t4281 @t109)) % 6.34/6.54 (define @t4296 () (tptp.hAPP @t4281 @t23)) % 6.34/6.54 (define @t4297 () (tptp.hAPP @t3148 @t4287)) % 6.34/6.54 (define @t4298 () (tptp.hBOOL (tptp.hAPP @t2965 (tptp.hAPP (tptp.hAPP @t626 @t4247) @t69)))) % 6.34/6.54 (define @t4299 () (not @t4269)) % 6.34/6.54 (define @t4300 () (@list @t69 @t1235 @t2587 @t819)) % 6.34/6.54 (define @t4301 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1539)) % 6.34/6.54 (define @t4302 () (tptp.hAPP @t4301 @t1586)) % 6.34/6.54 (define @t4303 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t636)) % 6.34/6.54 (define @t4304 () (tptp.hAPP @t4303 @t1586)) % 6.34/6.54 (define @t4305 () (@list @t1586)) % 6.34/6.54 (define @t4306 () (tptp.hAPP tptp.c_Int_Onat @t1586)) % 6.34/6.54 (define @t4307 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4308 () (tptp.hAPP @t4307 @t23)) % 6.34/6.54 (define @t4309 () (tptp.c_Fun_Ofun__upd @t30 @t127)) % 6.34/6.54 (define @t4310 () (tptp.hAPP @t4309 @t2)) % 6.34/6.54 (define @t4311 () (tptp.hAPP @t4310 @t378)) % 6.34/6.54 (define @t4312 () (tptp.hAPP @t4311 @t696)) % 6.34/6.54 (define @t4313 () (tptp.hAPP (tptp.c_Set_Oimage @t30 @t127 @t4312) @t1235)) % 6.34/6.54 (define @t4314 () (tptp.c_Fun_Othe__inv__into @t30 @t127 @t1235 @t2)) % 6.34/6.54 (define @t4315 () (tptp.hAPP @t4314 @t378)) % 6.34/6.54 (define @t4316 () (@list @t378 @t2 @t127 @t30)) % 6.34/6.54 (define @t4317 () (tptp.hAPP @t4307 @t327)) % 6.34/6.54 (define @t4318 () (tptp.c_SetInterval_Oord__class_OatMost @t30)) % 6.34/6.54 (define @t4319 () (tptp.hAPP @t4318 @t696)) % 6.34/6.54 (define @t4320 () (tptp.hAPP @t4318 @t378)) % 6.34/6.54 (define @t4321 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4310 @t140) @t64) @t378)) % 6.34/6.54 (define @t4322 () (= @t378 @t140)) % 6.34/6.54 (define @t4323 () (not @t4322)) % 6.34/6.54 (define @t4324 () (= @t668 @t696)) % 6.34/6.54 (define @t4325 () (@list @t696 @t378 @t2 @t127 @t30)) % 6.34/6.54 (define @t4326 () (@list @t628 @t696 @t378 @t2 @t127 @t30)) % 6.34/6.54 (define @t4327 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t127 @t30) @t2) @t378) @t696)) % 6.34/6.54 (define @t4328 () (tptp.hAPP @t4312 @t628)) % 6.34/6.54 (define @t4329 () (= @t628 @t378)) % 6.34/6.54 (define @t4330 () (=> (not @t4329) (= @t4328 @t3953))) % 6.34/6.54 (define @t4331 () (@list @t696 @t2 @t127 @t30 @t378 @t628)) % 6.34/6.54 (define @t4332 () (tptp.hAPP @t4309 @t325)) % 6.34/6.54 (define @t4333 () (tptp.hAPP @t3615 @t974)) % 6.34/6.54 (define @t4334 () (tptp.hAPP @t4318 @t327)) % 6.34/6.54 (define @t4335 () (@list @t327 @t178 @t30)) % 6.34/6.54 (define @t4336 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2371)) % 6.34/6.54 (define @t4337 () (tptp.hAPP @t4336 @t4308)) % 6.34/6.54 (define @t4338 () (tptp.hAPP @t4314 @t696)) % 6.34/6.54 (define @t4339 () (@list @t378 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t4340 () (tptp.hAPP @t3263 @t696)) % 6.34/6.54 (define @t4341 () (tptp.hBOOL (tptp.hAPP @t4340 @t3274))) % 6.34/6.54 (define @t4342 () (tptp.c_COMBC @t30 @t127 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4343 () (tptp.hAPP @t4342 @t3926)) % 6.34/6.54 (define @t4344 () (tptp.c_COMBS @t30 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4345 () (tptp.hAPP @t4344 @t4085)) % 6.34/6.54 (define @t4346 () (tptp.hAPP @t4318 @t1586)) % 6.34/6.54 (define @t4347 () (tptp.hAPP @t4318 @t1539)) % 6.34/6.54 (define @t4348 () (tptp.hAPP @t3148 @t4347)) % 6.34/6.54 (define @t4349 () (tptp.hAPP @t3462 @t4347)) % 6.34/6.54 (define @t4350 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t933 @t23)) % 6.34/6.54 (define @t4351 () (tptp.tc_Option_Ooption @t127)) % 6.34/6.54 (define @t4352 () (tptp.hAPP (tptp.c_COMBK @t4351 @t30) @t453)) % 6.34/6.54 (define @t4353 () (tptp.hAPP @t449 @t378)) % 6.34/6.54 (define @t4354 () (tptp.c_Fun_Ofun__upd @t30 @t4351)) % 6.34/6.54 (define @t4355 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4356 () (tptp.hAPP @t449 @t696)) % 6.34/6.54 (define @t4357 () (tptp.hAPP @t4354 @t325)) % 6.34/6.54 (define @t4358 () (tptp.hAPP @t4357 @t378)) % 6.34/6.54 (define @t4359 () (tptp.hAPP @t4358 @t4356)) % 6.34/6.54 (define @t4360 () (tptp.hAPP @t4355 @t327)) % 6.34/6.54 (define @t4361 () (tptp.c_SetInterval_Oord__class_OlessThan @t30)) % 6.34/6.54 (define @t4362 () (tptp.hAPP @t4361 @t696)) % 6.34/6.54 (define @t4363 () (tptp.hAPP @t4361 @t378)) % 6.34/6.54 (define @t4364 () (tptp.hAPP @t4355 @t23)) % 6.34/6.54 (define @t4365 () (tptp.hAPP @t3615 @t327)) % 6.34/6.54 (define @t4366 () (tptp.hAPP @t4355 @t974)) % 6.34/6.54 (define @t4367 () (tptp.hAPP @t4361 @t327)) % 6.34/6.54 (define @t4368 () (tptp.hAPP @t4357 @t140)) % 6.34/6.54 (define @t4369 () (tptp.c_Fun_Ofun__upd @t127 @t2717)) % 6.34/6.54 (define @t4370 () (tptp.hAPP @t431 @t696)) % 6.34/6.54 (define @t4371 () (tptp.hAPP @t325 @t378)) % 6.34/6.54 (define @t4372 () (tptp.hAPP @t431 @t64)) % 6.34/6.54 (define @t4373 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4369 @t325) @t140) @t4372)) % 6.34/6.54 (define @t4374 () (tptp.hAPP (tptp.hAPP @t2817 @t327) @t2815)) % 6.34/6.54 (define @t4375 () (tptp.hAPP @t4361 @t1586)) % 6.34/6.54 (define @t4376 () (tptp.hAPP @t4361 @t1539)) % 6.34/6.54 (define @t4377 () (tptp.hAPP @t3148 @t4376)) % 6.34/6.54 (define @t4378 () (tptp.hAPP @t3462 @t4376)) % 6.34/6.54 (define @t4379 () (tptp.hAPP (tptp.c_COMBK @t2717 @t127) @t433)) % 6.34/6.54 (define @t4380 () (tptp.hAPP @t4355 @t109)) % 6.34/6.54 (define @t4381 () (tptp.hAPP @t1510 @t933)) % 6.34/6.54 (define @t4382 () (@list @t23 @t819 @t140)) % 6.34/6.54 (define @t4383 () (tptp.c_Map_Oran @t127 @t30 @t325)) % 6.34/6.54 (define @t4384 () (tptp.hAPP @t325 @t140)) % 6.34/6.54 (define @t4385 () (tptp.c_Map_Orestrict__map @t30 @t127 @t325 @t2587)) % 6.34/6.54 (define @t4386 () (tptp.hAPP (tptp.hAPP @t4354 @t4385) @t378)) % 6.34/6.54 (define @t4387 () (tptp.hAPP @t4386 @t453)) % 6.34/6.54 (define @t4388 () (tptp.hBOOL (tptp.hAPP @t2986 @t2587))) % 6.34/6.54 (define @t4389 () (not @t4388)) % 6.34/6.54 (define @t4390 () (tptp.hAPP @t2583 @t2587)) % 6.34/6.54 (define @t4391 () (tptp.c_Map_Orestrict__map @t30 @t127 @t325 (tptp.hAPP @t4390 @t2819))) % 6.34/6.54 (define @t4392 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t127 @t30)) % 6.34/6.54 (define @t4393 () (tptp.hAPP (tptp.hAPP @t4392 @t3760) @t1235)) % 6.34/6.54 (define @t4394 () (tptp.hAPP @t4392 @t2)) % 6.34/6.54 (define @t4395 () (tptp.hAPP @t4394 @t1235)) % 6.34/6.54 (define @t4396 () (tptp.c_Map_Orestrict__map @t30 @t127 @t325 @t1235)) % 6.34/6.54 (define @t4397 () (tptp.hAPP @t4396 @t378)) % 6.34/6.54 (define @t4398 () (=> @t2987 (= @t4397 @t4371))) % 6.34/6.54 (define @t4399 () (@list @t325 @t127 @t1235 @t378 @t30)) % 6.34/6.54 (define @t4400 () (tptp.c_COMBC @t127 @t30 @t30)) % 6.34/6.54 (define @t4401 () (@list @t2033 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t4402 () (tptp.hAPP @t2570 @t352)) % 6.34/6.54 (define @t4403 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t127 tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4404 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t465 @t30)) % 6.34/6.54 (define @t4405 () (tptp.c_COMBB @t3939 (tptp.tc_fun @t2475 @t30) @t127)) % 6.34/6.54 (define @t4406 () (tptp.hAPP @t4405 @t4404)) % 6.34/6.54 (define @t4407 () (tptp.c_COMBC @t127 @t2475 @t30)) % 6.34/6.54 (define @t4408 () (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4407 (tptp.hAPP @t4406 @t2)) @t1473)) @t1235)) % 6.34/6.54 (define @t4409 () (@list @t1235 @t1473 @t2 @t465 @t127 @t30)) % 6.34/6.54 (define @t4410 () (tptp.hAPP @t776 @t4395)) % 6.34/6.54 (define @t4411 () (tptp.hAPP @t4400 @t3766)) % 6.34/6.54 (define @t4412 () (tptp.hAPP @t776 @t2033)) % 6.34/6.54 (define @t4413 () (tptp.hAPP @t4392 @t1)) % 6.34/6.54 (define @t4414 () (tptp.hAPP @t4413 @t1235)) % 6.34/6.54 (define @t4415 () (tptp.hAPP (tptp.hAPP @t3767 (tptp.hAPP (tptp.hAPP @t3765 @t354) @t2)) @t1)) % 6.34/6.54 (define @t4416 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t30 @t127)) % 6.34/6.54 (define @t4417 () (tptp.hAPP @t4416 @t1)) % 6.34/6.54 (define @t4418 () (tptp.hAPP @t4417 @t1235)) % 6.34/6.54 (define @t4419 () (=> @t3705 (= @t4418 @t3784))) % 6.34/6.54 (define @t4420 () (tptp.class_Groups_Ocomm__monoid__add @t127)) % 6.34/6.54 (define @t4421 () (tptp.hAPP @t4416 @t2)) % 6.34/6.54 (define @t4422 () (tptp.hAPP @t4421 @t1235)) % 6.34/6.54 (define @t4423 () (tptp.hAPP (tptp.hAPP @t3767 (tptp.hAPP (tptp.hAPP @t3765 @t1475) @t2)) @t1)) % 6.34/6.54 (define @t4424 () (tptp.c_Groups_Oplus__class_Oplus @t127)) % 6.34/6.54 (define @t4425 () (tptp.hAPP @t4424 @t4418)) % 6.34/6.54 (define @t4426 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t30 tptp.tc_Nat_Onat) @t2)) % 6.34/6.54 (define @t4427 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t30)) % 6.34/6.54 (define @t4428 () (tptp.hAPP @t4427 (tptp.hAPP @t4426 tptp.c_Nat_OSuc))) % 6.34/6.54 (define @t4429 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t534)) % 6.34/6.54 (define @t4430 () (tptp.hAPP @t4427 @t2)) % 6.34/6.54 (define @t4431 () (@list @t23 @t325 @t2 @t30)) % 6.34/6.54 (define @t4432 () (tptp.hAPP @t4427 (tptp.hAPP @t4426 @t4165))) % 6.34/6.54 (define @t4433 () (@list @t23 @t327 @t325 @t2 @t30)) % 6.34/6.54 (define @t4434 () (=> @t2988 (= @t4397 @t453))) % 6.34/6.54 (define @t4435 () (tptp.hAPP @t4430 (tptp.hAPP @t4281 @t1615))) % 6.34/6.54 (define @t4436 () (tptp.hAPP @t4430 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t23) @t1615))) % 6.34/6.54 (define @t4437 () (tptp.hAPP @t4430 @t4296)) % 6.34/6.54 (define @t4438 () (tptp.hAPP @t354 @t4437)) % 6.34/6.54 (define @t4439 () (tptp.hBOOL (tptp.hAPP @t1146 @t1615))) % 6.34/6.54 (define @t4440 () (@list @t2 @t1615 @t23 @t325 @t30)) % 6.34/6.54 (define @t4441 () (tptp.hAPP (tptp.hAPP @t4416 (tptp.hAPP @t3834 @t3784)) @t3028)) % 6.34/6.54 (define @t4442 () (tptp.hAPP (tptp.hAPP @t4416 (tptp.hAPP @t3747 @t3784)) @t3028)) % 6.34/6.54 (define @t4443 () (@list @t23 @t2 @t30)) % 6.34/6.54 (define @t4444 () (tptp.hAPP @t4424 @t2416)) % 6.34/6.54 (define @t4445 () (tptp.hAPP @t4424 @t1214)) % 6.34/6.54 (define @t4446 () (tptp.hAPP @t4417 @t2825)) % 6.34/6.54 (define @t4447 () (tptp.hAPP @t4425 (tptp.hAPP @t4417 @t1473))) % 6.34/6.54 (define @t4448 () (tptp.hAPP @t4417 @t3150)) % 6.34/6.54 (define @t4449 () (tptp.hAPP @t4421 @t1473)) % 6.34/6.54 (define @t4450 () (tptp.c_Groups_Ominus__class_Ominus @t127)) % 6.34/6.54 (define @t4451 () (tptp.hAPP @t4450 @t4422)) % 6.34/6.54 (define @t4452 () (tptp.class_Groups_Oab__group__add @t127)) % 6.34/6.54 (define @t4453 () (=> @t3403 (= @t4418 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t127 @t30 @t4424) @t1) @t3784) @t1235)))) % 6.34/6.54 (define @t4454 () (tptp.hAPP @t354 @t2039)) % 6.34/6.54 (define @t4455 () (@list @t2 @t23 @t325 @t30)) % 6.34/6.54 (define @t4456 () (tptp.hAPP @t4430 @t4172)) % 6.34/6.54 (define @t4457 () (tptp.hAPP @t3030 @t1473)) % 6.34/6.54 (define @t4458 () (tptp.hAPP (tptp.hAPP @t4416 (tptp.hAPP (tptp.hAPP @t3746 (tptp.hAPP (tptp.hAPP @t3745 (tptp.hAPP @t3744 @t4457)) @t2)) @t3784)) @t1235)) % 6.34/6.54 (define @t4459 () (tptp.hAPP @t4421 @t3464)) % 6.34/6.54 (define @t4460 () (@list @t1473 @t2 @t1235 @t30 @t127)) % 6.34/6.54 (define @t4461 () (= @t4384 @t4372)) % 6.34/6.54 (define @t4462 () (@list @t127 @t64 @t30 @t140 @t325)) % 6.34/6.54 (define @t4463 () (tptp.hAPP @t4445 (tptp.hAPP @t4417 @t2990))) % 6.34/6.54 (define @t4464 () (= @t4448 @t4447)) % 6.34/6.54 (define @t4465 () (tptp.hAPP @t4430 @t4295)) % 6.34/6.54 (define @t4466 () (@list @t2 @t325 @t23 @t30)) % 6.34/6.54 (define @t4467 () (tptp.hAPP @t354 @t4456)) % 6.34/6.54 (define @t4468 () (tptp.hAPP @t4430 @t4189)) % 6.34/6.54 (define @t4469 () (tptp.hBOOL (tptp.hAPP @t2281 @t325))) % 6.34/6.54 (define @t4470 () (tptp.hAPP @t4427 @t27)) % 6.34/6.54 (define @t4471 () (tptp.hAPP @t332 @t1615)) % 6.34/6.54 (define @t4472 () (tptp.hAPP @t332 @t933)) % 6.34/6.54 (define @t4473 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t4391) @t378) @t696)) % 6.34/6.54 (define @t4474 () (= (tptp.hAPP @t4386 @t696) @t4473)) % 6.34/6.54 (define @t4475 () (@list @t30 @t127)) % 6.34/6.54 (define @t4476 () (tptp.hAPP @t4421 @t2919)) % 6.34/6.54 (define @t4477 () (=> @t3003 (= @t4476 (tptp.hAPP @t4451 @t2416)))) % 6.34/6.54 (define @t4478 () (tptp.hAPP @t776 @t617)) % 6.34/6.54 (define @t4479 () (tptp.hAPP @t776 (tptp.hAPP @t3093 @t926))) % 6.34/6.54 (define @t4480 () (tptp.class_Rings_Ocomm__semiring__1 @t30)) % 6.34/6.54 (define @t4481 () (tptp.c_COMBB @t30 @t2265 tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4482 () (tptp.hAPP (tptp.hAPP @t4427 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t30 @t30) (tptp.hAPP (tptp.hAPP @t4481 @t1475) @t2)) (tptp.hAPP @t4426 (tptp.hAPP @t4164 @t933)))) @t4172)) % 6.34/6.54 (define @t4483 () (@list @t696 @t325 @t127 @t2587 @t378 @t30)) % 6.34/6.54 (define @t4484 () (tptp.c_Map_Orestrict__map @t30 @t127 (tptp.hAPP @t4358 @t696) @t2587)) % 6.34/6.54 (define @t4485 () (tptp.hAPP (tptp.hAPP @t4354 @t2) @t378)) % 6.34/6.54 (define @t4486 () (tptp.hAPP @t2599 @t2819)) % 6.34/6.54 (define @t4487 () (tptp.hAPP @t1204 @t4422)) % 6.34/6.54 (define @t4488 () (tptp.hBOOL (tptp.hAPP @t4487 @t4449))) % 6.34/6.54 (define @t4489 () (tptp.hAPP @t1204 @t3784)) % 6.34/6.54 (define @t4490 () (@list @t2400)) % 6.34/6.54 (define @t4491 () (@var "V_K_2" $$unsorted)) % 6.34/6.54 (define @t4492 () (tptp.hAPP @t2788 @t1238)) % 6.34/6.54 (define @t4493 () (tptp.class_Groups_Oordered__ab__semigroup__add @t127)) % 6.34/6.54 (define @t4494 () (tptp.hAPP @t4421 @t3853)) % 6.34/6.54 (define @t4495 () (tptp.hAPP @t4421 @t3028)) % 6.34/6.54 (define @t4496 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t30 tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4497 () (tptp.hAPP @t4496 @t2)) % 6.34/6.54 (define @t4498 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t30 tptp.tc_Int_Oint)) % 6.34/6.54 (define @t4499 () (tptp.hAPP (tptp.hAPP @t4498 @t3771) @t1235)) % 6.34/6.54 (define @t4500 () (tptp.hAPP @t4497 @t1235)) % 6.34/6.54 (define @t4501 () (forall @t3502 (=> @t4215 (=> @t3500 (= @t4214 @t214))))) % 6.34/6.54 (define @t4502 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4503 () (tptp.hAPP @t4502 @t2)) % 6.34/6.54 (define @t4504 () (tptp.hAPP @t4497 @t1473)) % 6.34/6.54 (define @t4505 () (tptp.hAPP @t1459 @t4500)) % 6.34/6.54 (define @t4506 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t30)) % 6.34/6.54 (define @t4507 () (tptp.hAPP @t4497 @t2919)) % 6.34/6.54 (define @t4508 () (tptp.hAPP @t4506 @t2)) % 6.34/6.54 (define @t4509 () (tptp.hAPP @t4508 @t1235)) % 6.34/6.54 (define @t4510 () (tptp.hAPP @t301 @t140)) % 6.34/6.54 (define @t4511 () (tptp.hBOOL (tptp.hAPP @t3583 @t61))) % 6.34/6.54 (define @t4512 () (tptp.hAPP @t4421 @t61)) % 6.34/6.54 (define @t4513 () (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t4492 @t61)) (tptp.hBOOL (tptp.hAPP @t4489 @t1851))))) % 6.34/6.54 (define @t4514 () (tptp.hBOOL (tptp.hAPP @t3391 @t61))) % 6.34/6.54 (define @t4515 () (tptp.class_Groups_Oordered__ab__group__add @t127)) % 6.34/6.54 (define @t4516 () (tptp.hAPP @t21 @t4)) % 6.34/6.54 (define @t4517 () (forall @t8 (=> @t4132 @t3785))) % 6.34/6.54 (define @t4518 () (tptp.c_Finite__Set_Ofolding__one__idem @t30 @t2 @t3404)) % 6.34/6.54 (define @t4519 () (= (tptp.hAPP @t668 @t378) @t378)) % 6.34/6.54 (define @t4520 () (= (tptp.hAPP (tptp.hAPP @t2 @t3556) @t3435) @t3435)) % 6.34/6.54 (define @t4521 () (@var "B_F" $$unsorted)) % 6.34/6.54 (define @t4522 () (tptp.hBOOL (tptp.hAPP @t4153 @t1235))) % 6.34/6.54 (define @t4523 () (tptp.c_Orderings_Oord__class_Oless @t127)) % 6.34/6.54 (define @t4524 () (tptp.c_SetInterval_Oord__class_OatLeast @t30)) % 6.34/6.54 (define @t4525 () (tptp.hAPP @t4524 @t696)) % 6.34/6.54 (define @t4526 () (tptp.hAPP @t4524 @t378)) % 6.34/6.54 (define @t4527 () (tptp.hAPP @t4524 @t327)) % 6.34/6.54 (define @t4528 () (tptp.hAPP @t4524 @t1539)) % 6.34/6.54 (define @t4529 () (tptp.hAPP @t4524 @t1586)) % 6.34/6.54 (define @t4530 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4531 () (tptp.c_Groups_Ominus__class_Ominus @t2246)) % 6.34/6.54 (define @t4532 () (tptp.hAPP @t4530 @t974)) % 6.34/6.54 (define @t4533 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t30)) % 6.34/6.54 (define @t4534 () (tptp.hAPP @t4533 @t1539)) % 6.34/6.54 (define @t4535 () (tptp.hAPP @t4533 @t1586)) % 6.34/6.54 (define @t4536 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4537 () (tptp.hAPP @t4536 @t327)) % 6.34/6.54 (define @t4538 () (tptp.hAPP @t4533 @t696)) % 6.34/6.54 (define @t4539 () (tptp.hAPP @t4533 @t378)) % 6.34/6.54 (define @t4540 () (tptp.hAPP @t4533 @t327)) % 6.34/6.54 (define @t4541 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t127 @t465)) % 6.34/6.54 (define @t4542 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t30 @t465)) % 6.34/6.54 (define @t4543 () (tptp.class_Groups_Ocomm__monoid__add @t465)) % 6.34/6.54 (define @t4544 () (@list @t2 @t1473 @t127 @t1235 @t30 @t465)) % 6.34/6.54 (define @t4545 () (forall @t8 (=> @t1060 @t7))) % 6.34/6.54 (define @t4546 () (@list @t1 @t2 @t1473 @t1235 @t30)) % 6.34/6.54 (define @t4547 () (@var "B_v" $$unsorted)) % 6.34/6.54 (define @t4548 () (@list @t4547)) % 6.34/6.54 (define @t4549 () (tptp.c_Map_Odom @t30 @t127 @t2)) % 6.34/6.54 (define @t4550 () (tptp.c_Set_Oimage @t30 @t465 @t2)) % 6.34/6.54 (define @t4551 () (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t127 @t30 @t1) @t2)) % 6.34/6.54 (define @t4552 () (tptp.c_Fun_Ocomp @t127 @t465 @t30 @t1)) % 6.34/6.54 (define @t4553 () (@var "V_f_H_2" $$unsorted)) % 6.34/6.54 (define @t4554 () (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t127 @t30 @t140) @t64)) % 6.34/6.54 (define @t4555 () (= @t4554 (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t127 @t30 @t25) @t819))) % 6.34/6.54 (define @t4556 () (tptp.hAPP @t140 (tptp.hAPP @t64 @t1684))) % 6.34/6.54 (define @t4557 () (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t30 @t465 @t2) @t1)) % 6.34/6.54 (define @t4558 () (tptp.hAPP @t4557 @t378)) % 6.34/6.54 (define @t4559 () (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t127 @t2456 @t2) @t1)) % 6.34/6.54 (define @t4560 () (tptp.c_Fun_Ocomp @t465 @t127 @t30 @t2)) % 6.34/6.54 (define @t4561 () (@var "V_x_H_2" $$unsorted)) % 6.34/6.54 (define @t4562 () (@var "V_g_H_2" $$unsorted)) % 6.34/6.54 (define @t4563 () (tptp.hAPP @t4560 @t1)) % 6.34/6.54 (define @t4564 () (tptp.c_Set_Oimage @t127 @t465 @t1)) % 6.34/6.54 (define @t4565 () (tptp.c_Set_Oimage @t465 @t30 @t2)) % 6.34/6.54 (define @t4566 () (tptp.c_Map_Odom @t30 @t127 @t325)) % 6.34/6.54 (define @t4567 () (tptp.c_Map_Odom @t127 @t30 @t2)) % 6.34/6.54 (define @t4568 () (tptp.hAPP @t3440 @t4567)) % 6.34/6.54 (define @t4569 () (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t465 @t30 @t218) @t2)) % 6.34/6.54 (define @t4570 () (tptp.hAPP @t4542 @t4569)) % 6.34/6.54 (define @t4571 () (tptp.hAPP @t4541 @t218)) % 6.34/6.54 (define @t4572 () (@list @t218 @t1473 @t2 @t127 @t30 @t465)) % 6.34/6.54 (define @t4573 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t30 @t465)) % 6.34/6.54 (define @t4574 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t127 @t465)) % 6.34/6.54 (define @t4575 () (tptp.hAPP @t4574 @t218)) % 6.34/6.54 (define @t4576 () (= (tptp.hAPP @t4575 @t1473) (tptp.hAPP (tptp.hAPP @t4573 @t1) @t1235))) % 6.34/6.54 (define @t4577 () (= @t1473 @t3274)) % 6.34/6.54 (define @t4578 () (tptp.class_Groups_Ocomm__monoid__mult @t465)) % 6.34/6.54 (define @t4579 () (@list @t218 @t1 @t1473 @t1235 @t2 @t127 @t30 @t465)) % 6.34/6.54 (define @t4580 () (tptp.hAPP @t3295 @t4567)) % 6.34/6.54 (define @t4581 () (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t127 @t30 @t1) @t218)) % 6.34/6.54 (define @t4582 () (tptp.hAPP @t4124 @t1235)) % 6.34/6.54 (define @t4583 () (tptp.c_Fun_Oinj__on @t30 @t30 @t218 @t1235)) % 6.34/6.54 (define @t4584 () (@list @t1 @t218 @t1235 @t30 @t127)) % 6.34/6.54 (define @t4585 () (tptp.hAPP (tptp.c_Set_Oimage @t465 @t30 @t1) @t1235)) % 6.34/6.54 (define @t4586 () (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t127 @t465 @t2) @t1)) % 6.34/6.54 (define @t4587 () (tptp.c_Groups_Otimes__class_Otimes @t465)) % 6.34/6.54 (define @t4588 () (tptp.c_Finite__Set_Ofold__image @t465 @t30 @t4587)) % 6.34/6.54 (define @t4589 () (tptp.c_Finite__Set_Ofold__image @t465 @t127 @t4587)) % 6.34/6.54 (define @t4590 () (tptp.hAPP @t4369 @t2)) % 6.34/6.54 (define @t4591 () (tptp.c_Map_Odom @t127 @t30 (tptp.hAPP (tptp.hAPP @t4590 @t378) @t696))) % 6.34/6.54 (define @t4592 () (= @t696 @t433)) % 6.34/6.54 (define @t4593 () (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t3433) @t668)) % 6.34/6.54 (define @t4594 () (tptp.c_Finite__Set_Ofolding @t30 @t127 @t2 @t3404)) % 6.34/6.54 (define @t4595 () (@list @t378 @t1235 @t3404 @t2 @t127 @t30)) % 6.34/6.54 (define @t4596 () (tptp.c_Finite__Set_Ofolding__image @t30 @t127 @t2 @t628 @t3404)) % 6.34/6.54 (define @t4597 () (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t3435)) % 6.34/6.54 (define @t4598 () (tptp.hAPP @t4597 @t3556)) % 6.34/6.54 (define @t4599 () (= @t3563 @t4598)) % 6.34/6.54 (define @t4600 () (@list @t1473 @t1235 @t3404 @t2 @t127 @t30)) % 6.34/6.54 (define @t4601 () (tptp.c_Fun_Ocomp @t127 @t127 @t465 @t2433)) % 6.34/6.54 (define @t4602 () (tptp.c_Fun_Ocomp @t127 @t127 @t465 @t668)) % 6.34/6.54 (define @t4603 () (tptp.hAPP @t4602 @t1)) % 6.34/6.54 (define @t4604 () (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t668)) % 6.34/6.54 (define @t4605 () (tptp.hAPP @t4604 @t2433)) % 6.34/6.54 (define @t4606 () (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t2433) @t668)) % 6.34/6.54 (define @t4607 () (tptp.hAPP (tptp.hAPP @t3765 @t2) @t1)) % 6.34/6.54 (define @t4608 () (tptp.hAPP @t4597 @t668)) % 6.34/6.54 (define @t4609 () (tptp.c_Fun_Ocomp @t127 @t127 @t465 @t3435)) % 6.34/6.54 (define @t4610 () (tptp.hAPP @t4609 @t1)) % 6.34/6.54 (define @t4611 () (tptp.c_Fun_Ocomp @t127 @t127 @t465 @t3556)) % 6.34/6.54 (define @t4612 () (= @t3453 @t4608)) % 6.34/6.54 (define @t4613 () (tptp.c_Hoare__Mirabelle_Opeek__and @t30 @t27 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t64))) % 6.34/6.54 (define @t4614 () (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t32 @t190) @t4613)) @t2794)) % 6.34/6.54 (define @t4615 () (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Hoare__Mirabelle_Opeek__and @t30 @t27 @t64)) @t25)) % 6.34/6.54 (define @t4616 () (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP @t4615 @t27)) @t2794)) % 6.34/6.54 (define @t4617 () (tptp.c_Nitpick_ORep__Frac @t30)) % 6.34/6.54 (define @t4618 () (= @t4 @t412)) % 6.34/6.54 (define @t4619 () (@list @t27 @t2 @t30 @t127)) % 6.34/6.54 (define @t4620 () (tptp.c_Finite__Set_Ofolding__idem @t30 @t127 @t2 @t3404)) % 6.34/6.54 (define @t4621 () (= (tptp.hAPP @t4604 @t668) @t668)) % 6.34/6.54 (define @t4622 () (not @t3037)) % 6.34/6.54 (define @t4623 () (tptp.c_Finite__Set_Ofold__graph @t30 @t30 @t776 @t64 @t1235)) % 6.34/6.54 (define @t4624 () (tptp.class_Groups_Oab__semigroup__mult @t30)) % 6.34/6.54 (define @t4625 () (tptp.c_Finite__Set_Ofold__graph @t30 @t127 @t2 @t628 @t1235)) % 6.34/6.54 (define @t4626 () (tptp.hBOOL (tptp.hAPP @t4625 @t378))) % 6.34/6.54 (define @t4627 () (tptp.c_Finite__Set_Ofold__graph @t30 @t127 @t2 @t628 @t2815)) % 6.34/6.54 (define @t4628 () (= @t378 @t628)) % 6.34/6.54 (define @t4629 () (tptp.c_Finite__Set_Ofold__graph @t30 @t127 @t2 @t628 @t2825)) % 6.34/6.54 (define @t4630 () (tptp.hBOOL (tptp.hAPP @t4625 @t696))) % 6.34/6.54 (define @t4631 () (@list @t696 @t378 @t1235 @t628 @t2 @t127 @t30)) % 6.34/6.54 (define @t4632 () (tptp.c_Orderings_Otop__class_Otop @t35)) % 6.34/6.54 (define @t4633 () (tptp.c_Orderings_Otop__class_Otop @t2371)) % 6.34/6.54 (define @t4634 () (tptp.tc_fun @t2717 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4635 () (tptp.c_Orderings_Otop__class_Otop @t4634)) % 6.34/6.54 (define @t4636 () (tptp.c_Orderings_Otop__class_Otop @t2742)) % 6.34/6.54 (define @t4637 () (tptp.c_Orderings_Otop__class_Otop @t2246)) % 6.34/6.54 (define @t4638 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2246) @t4637)) % 6.34/6.54 (define @t4639 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t4633)) % 6.34/6.54 (define @t4640 () (tptp.class_Lattices_Obounded__lattice__top @t35)) % 6.34/6.54 (define @t4641 () (tptp.c_Orderings_Otop__class_Otop @t30)) % 6.34/6.54 (define @t4642 () (tptp.c_Orderings_Otop__class_Otop @t3121)) % 6.34/6.54 (define @t4643 () (tptp.c_Orderings_Otop__class_Otop @t3803)) % 6.34/6.54 (define @t4644 () (tptp.c_Orderings_Otop__class_Otop @t2944)) % 6.34/6.54 (define @t4645 () (tptp.c_Orderings_Otop__class_Otop @t3040)) % 6.34/6.54 (define @t4646 () (tptp.c_Finite__Set_Ofinite @t2450)) % 6.34/6.54 (define @t4647 () (tptp.hBOOL (tptp.hAPP @t3406 @t4636))) % 6.34/6.54 (define @t4648 () (tptp.hBOOL (tptp.hAPP @t3391 @t4633))) % 6.34/6.54 (define @t4649 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t1206 tptp.tc_HOL_Obool))) % 6.34/6.54 (define @t4650 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1206) @t4649))) % 6.34/6.54 (define @t4651 () (tptp.c_Finite__Set_Ofinite @t2717)) % 6.34/6.54 (define @t4652 () (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t1235)) % 6.34/6.54 (define @t4653 () (tptp.hAPP @t3261 @t4636)) % 6.34/6.54 (define @t4654 () (tptp.hAPP @t2788 @t668)) % 6.34/6.54 (define @t4655 () (tptp.c_Orderings_Otop__class_Otop @t2475)) % 6.34/6.54 (define @t4656 () (= @t4653 @t4633)) % 6.34/6.54 (define @t4657 () (tptp.hAPP @t3695 @t4633)) % 6.34/6.54 (define @t4658 () (@list @t1 @t465 @t2 @t127 @t30)) % 6.34/6.54 (define @t4659 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t696)) % 6.34/6.54 (define @t4660 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3334 @t696) @t4637))) % 6.34/6.54 (define @t4661 () (tptp.hAPP @t3878 @t4633)) % 6.34/6.54 (define @t4662 () (tptp.hAPP (tptp.c_COMBC @t127 @t2742 tptp.tc_HOL_Obool) @t3263)) % 6.34/6.54 (define @t4663 () (tptp.hAPP (tptp.hAPP @t4015 @t4662) @t2033)) % 6.34/6.54 (define @t4664 () (@list @t378 @t2033 @t127 @t30)) % 6.34/6.54 (define @t4665 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t4351 @t30) @t449) @t2)) % 6.34/6.54 (define @t4666 () (tptp.tc_fun @t465 @t127)) % 6.34/6.54 (define @t4667 () (= @t412 @t4)) % 6.34/6.54 (define @t4668 () (= (tptp.hAPP @t4185 @t4633) @t4633)) % 6.34/6.54 (define @t4669 () (tptp.c_Fun_Oinj__on @t30 @t30 @t2 @t4633)) % 6.34/6.54 (define @t4670 () (tptp.c_Groups_Ouminus__class_Ouminus @t2742)) % 6.34/6.54 (define @t4671 () (tptp.hAPP @t4670 @t1235)) % 6.34/6.54 (define @t4672 () (@list @t696)) % 6.34/6.54 (define @t4673 () (tptp.hBOOL (tptp.hAPP @t4651 (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2717 @t2) @t4636)))) % 6.34/6.54 (define @t4674 () (tptp.hAPP @t4336 @t4637)) % 6.34/6.54 (define @t4675 () (tptp.hAPP @t4674 @t1235)) % 6.34/6.54 (define @t4676 () (tptp.tc_fun tptp.tc_Nat_Onat @t2371)) % 6.34/6.54 (define @t4677 () (tptp.tc_fun @t2455 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4678 () (tptp.c_member @t2455)) % 6.34/6.54 (define @t4679 () (tptp.hAPP @t4678 @t2783)) % 6.34/6.54 (define @t4680 () (tptp.tc_fun @t4677 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4681 () (tptp.tc_fun @t465 @t4680)) % 6.34/6.54 (define @t4682 () (tptp.tc_fun @t465 @t2455)) % 6.34/6.54 (define @t4683 () (tptp.hAPP (tptp.c_COMBC @t127 @t4677 @t2475) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4681 (tptp.tc_fun @t4677 @t2475) @t127) (tptp.c_COMBC @t465 @t4677 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4682 @t4681 @t127) (tptp.hAPP (tptp.c_COMBB @t2455 @t4680 @t465) @t4678)) @t2444)))) % 6.34/6.54 (define @t4684 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4677 @t4041 @t30) @t4683) @t2033)) % 6.34/6.54 (define @t4685 () (@list @t696 @t378 @t2033 @t465 @t127 @t30)) % 6.34/6.54 (define @t4686 () (tptp.hAPP @t4674 @t1473)) % 6.34/6.54 (define @t4687 () (tptp.hAPP @t2372 @t4675)) % 6.34/6.54 (define @t4688 () (tptp.hAPP (tptp.hAPP @t4336 (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP @t301 @t46) @t327))) @t1473)) % 6.34/6.54 (define @t4689 () (tptp.hAPP (tptp.hAPP @t4336 (tptp.hAPP @t4277 @t46)) @t1235)) % 6.34/6.54 (define @t4690 () (tptp.hAPP @t2372 @t4689)) % 6.34/6.54 (define @t4691 () (@list @t1473 @t327 @t1235 @t30)) % 6.34/6.54 (define @t4692 () (@list @t2588 @t1235 @t30)) % 6.34/6.54 (define @t4693 () (tptp.hAPP @t2474 @t4)) % 6.34/6.54 (define @t4694 () (tptp.c_Equiv__Relations_Oequivp @t30 @t2474)) % 6.34/6.54 (define @t4695 () (@list @t2474 @t30)) % 6.34/6.54 (define @t4696 () (tptp.hAPP @t2474 @t696)) % 6.34/6.54 (define @t4697 () (tptp.hBOOL (tptp.hAPP @t3117 @t696))) % 6.34/6.54 (define @t4698 () (tptp.c_member @t3121)) % 6.34/6.54 (define @t4699 () (= @t4556 (tptp.hAPP @t25 @t1684))) % 6.34/6.54 (define @t4700 () (@list @t1684 @t25 @t64 @t140 @t30 @t127 @t465)) % 6.34/6.54 (define @t4701 () (tptp.hAPP @t2570 @t25)) % 6.34/6.54 (define @t4702 () (tptp.c_Set_Ovimage @t30 @t127 @t2)) % 6.34/6.54 (define @t4703 () (tptp.hAPP @t4702 @t3370)) % 6.34/6.54 (define @t4704 () (@list @t140 @t2 @t127 @t30)) % 6.34/6.54 (define @t4705 () (tptp.c_Set_Ovimage @t127 @t30 @t2)) % 6.34/6.54 (define @t4706 () (tptp.hAPP @t4705 @t1473)) % 6.34/6.54 (define @t4707 () (= @t2416 @t64)) % 6.34/6.54 (define @t4708 () (tptp.hAPP @t4702 @t1473)) % 6.34/6.54 (define @t4709 () (tptp.hAPP @t4702 @t1235)) % 6.34/6.54 (define @t4710 () (tptp.hAPP @t4705 @t1235)) % 6.34/6.54 (define @t4711 () (tptp.hAPP @t3261 @t4710)) % 6.34/6.54 (define @t4712 () (tptp.hAPP (tptp.hAPP @t3891 @t4702) @t1473)) % 6.34/6.54 (define @t4713 () (@list @t1473 @t1235 @t465 @t2 @t127 @t30)) % 6.34/6.54 (define @t4714 () (tptp.hAPP @t3287 @t64)) % 6.34/6.54 (define @t4715 () (tptp.hAPP (tptp.c_Set_Ovimage @t127 @t30 @t4701) @t1235)) % 6.34/6.54 (define @t4716 () (@list @t1473 @t2 @t127 @t30)) % 6.34/6.54 (define @t4717 () (tptp.hAPP @t4662 @t1473)) % 6.34/6.54 (define @t4718 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2266 @t127) @t2264)) % 6.34/6.54 (define @t4719 () (tptp.hAPP (tptp.c_Set_Ovimage @t127 @t30 (tptp.hAPP (tptp.hAPP @t4400 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t30 @t2265) (tptp.hAPP @t4718 @t4717)) @t25)) @t819)) @t1235)) % 6.34/6.54 (define @t4720 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t819) @t1235))) % 6.34/6.54 (define @t4721 () (not @t4720)) % 6.34/6.54 (define @t4722 () (@var "V_Rep_2" $$unsorted)) % 6.34/6.54 (define @t4723 () (@var "V_Abs_2" $$unsorted)) % 6.34/6.54 (define @t4724 () (tptp.c_Typedef_Otype__definition @t30 @t127 @t4722 @t4723 @t1235)) % 6.34/6.54 (define @t4725 () (@list @t1235 @t4723 @t4722 @t127 @t30)) % 6.34/6.54 (define @t4726 () (tptp.hAPP @t4722 @t378)) % 6.34/6.54 (define @t4727 () (@list @t378 @t1235 @t4723 @t4722 @t127 @t30)) % 6.34/6.54 (define @t4728 () (@list @t696 @t378 @t1235 @t4723 @t4722 @t127 @t30)) % 6.34/6.54 (define @t4729 () (tptp.hAPP @t4723 @t696)) % 6.34/6.54 (define @t4730 () (tptp.hBOOL (tptp.hAPP @t4340 @t1235))) % 6.34/6.54 (define @t4731 () (tptp.hBOOL (tptp.hAPP @t3501 @t83))) % 6.34/6.54 (define @t4732 () (tptp.hBOOL (tptp.hAPP @t2789 @t84))) % 6.34/6.54 (define @t4733 () (not @t3100)) % 6.34/6.54 (define @t4734 () (tptp.hBOOL (tptp.hAPP @t3391 @t83))) % 6.34/6.54 (define @t4735 () (tptp.hBOOL (tptp.hAPP @t3391 @t84))) % 6.34/6.54 (define @t4736 () (tptp.hAPP @t3065 (tptp.hAPP @t3062 @t3498))) % 6.34/6.54 (define @t4737 () (tptp.hBOOL (tptp.hAPP @t4736 @t2474))) % 6.34/6.54 (define @t4738 () (tptp.hBOOL (tptp.hAPP @t3391 @t164))) % 6.34/6.54 (define @t4739 () (tptp.c_Finite__Set_Ofold__graph @t30 @t30 @t2 @t472 @t4152)) % 6.34/6.54 (define @t4740 () (tptp.hAPP @t4151 @t4152)) % 6.34/6.54 (define @t4741 () (tptp.hAPP @t4054 @t83)) % 6.34/6.54 (define @t4742 () (tptp.hAPP @t2822 @t164)) % 6.34/6.54 (define @t4743 () (tptp.tc_fun @t2475 @t2475)) % 6.34/6.54 (define @t4744 () (tptp.c_Product__Type_OSigma @t30 @t127)) % 6.34/6.54 (define @t4745 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2452 @t465) @t2411) @t2)) % 6.34/6.54 (define @t4746 () (tptp.c_Finite__Set_Ofold1 @t30 @t776)) % 6.34/6.54 (define @t4747 () (tptp.hAPP @t4746 @t1235)) % 6.34/6.54 (define @t4748 () (= (tptp.hAPP @t4746 @t3150) (tptp.hAPP (tptp.hAPP @t776 @t4747) (tptp.hAPP @t4746 @t1473)))) % 6.34/6.54 (define @t4749 () (tptp.hAPP @t4744 @t1235)) % 6.34/6.54 (define @t4750 () (tptp.hAPP @t4749 @t1473)) % 6.34/6.54 (define @t4751 () (tptp.hBOOL (tptp.hAPP @t3315 @t4750))) % 6.34/6.54 (define @t4752 () (tptp.hAPP @t3970 @t2588)) % 6.34/6.54 (define @t4753 () (tptp.c_Product__Type_OSigma @t127 @t30)) % 6.34/6.54 (define @t4754 () (tptp.hAPP (tptp.hAPP @t4753 @t1473) @t4752)) % 6.34/6.54 (define @t4755 () (tptp.hAPP @t4753 @t1235)) % 6.34/6.54 (define @t4756 () (tptp.hAPP @t4755 @t4752)) % 6.34/6.54 (define @t4757 () (tptp.hBOOL (tptp.hAPP @t2986 @t2588))) % 6.34/6.54 (define @t4758 () (@list @t1473 @t1235 @t127 @t2588 @t378 @t30)) % 6.34/6.54 (define @t4759 () (tptp.hAPP (tptp.hAPP @t4744 @t3993) @t2588)) % 6.34/6.54 (define @t4760 () (tptp.hAPP @t4744 @t3971)) % 6.34/6.54 (define @t4761 () (tptp.hAPP @t4760 @t2588)) % 6.34/6.54 (define @t4762 () (tptp.c_Groups_Ominus__class_Ominus @t3040)) % 6.34/6.54 (define @t4763 () (@list @t2588 @t3993 @t3971 @t127 @t30)) % 6.34/6.54 (define @t4764 () (tptp.hAPP @t3967 @t2588)) % 6.34/6.54 (define @t4765 () (tptp.hAPP @t4744 @t1473)) % 6.34/6.54 (define @t4766 () (tptp.hAPP @t4765 @t4764)) % 6.34/6.54 (define @t4767 () (tptp.hAPP @t4749 @t4764)) % 6.34/6.54 (define @t4768 () (@list @t2588 @t1473 @t1235 @t127 @t30)) % 6.34/6.54 (define @t4769 () (tptp.hAPP @t4760 @t1473)) % 6.34/6.54 (define @t4770 () (tptp.hAPP @t4760 @t1235)) % 6.34/6.54 (define @t4771 () (tptp.hAPP (tptp.hAPP @t4034 @t3295) @t1235)) % 6.34/6.54 (define @t4772 () (tptp.c_COMBS @t30 @t2742 @t2742)) % 6.34/6.54 (define @t4773 () (tptp.hAPP @t3967 @t1473)) % 6.34/6.54 (define @t4774 () (tptp.hAPP @t4749 @t4773)) % 6.34/6.54 (define @t4775 () (tptp.c_Finite__Set_Ocard @t2450)) % 6.34/6.54 (define @t4776 () (tptp.c_COMBK @t2475 @t127)) % 6.34/6.54 (define @t4777 () (tptp.c_Product__Type_OSigma @t127 @t465)) % 6.34/6.54 (define @t4778 () (tptp.hAPP (tptp.hAPP @t4777 @t1235) (tptp.hAPP @t4776 @t1473))) % 6.34/6.54 (define @t4779 () (tptp.hAPP @t4744 @t4633)) % 6.34/6.54 (define @t4780 () (tptp.hAPP @t3967 @t1235)) % 6.34/6.54 (define @t4781 () (tptp.c_Groups_Ouminus__class_Ouminus @t3040)) % 6.34/6.54 (define @t4782 () (tptp.hAPP @t3967 @t4636)) % 6.34/6.54 (define @t4783 () (tptp.hAPP @t4755 (tptp.hAPP @t3970 @t1473))) % 6.34/6.54 (define @t4784 () (tptp.hAPP (tptp.c_COMBC @t30 @t127 @t2450) @t2411)) % 6.34/6.54 (define @t4785 () (tptp.c_Finite__Set_Ofold1 @t30 @t2)) % 6.34/6.54 (define @t4786 () (tptp.hBOOL (tptp.hAPP @t4646 @t4774))) % 6.34/6.54 (define @t4787 () (tptp.c_COMBK @t2371 @t30)) % 6.34/6.54 (define @t4788 () (tptp.c_Product__Type_OSigma @t30 @t30)) % 6.34/6.54 (define @t4789 () (tptp.hAPP (tptp.hAPP @t4788 @t1235) (tptp.hAPP @t4787 @t1235))) % 6.34/6.54 (define @t4790 () (tptp.hBOOL (tptp.hAPP @t3356 @t4789))) % 6.34/6.54 (define @t4791 () (tptp.hAPP (tptp.hAPP @t4034 @t3547) @t1235)) % 6.34/6.54 (define @t4792 () (@list @t1473 @t1235 @t64 @t140 @t127 @t30)) % 6.34/6.54 (define @t4793 () (tptp.hAPP @t4785 @t1235)) % 6.34/6.54 (define @t4794 () (=> @t3403 (= @t3435 @t4793))) % 6.34/6.54 (define @t4795 () (tptp.hAPP @t3275 @t1235)) % 6.34/6.54 (define @t4796 () (tptp.c_Orderings_Oord__class_Oless__eq @t3345)) % 6.34/6.54 (define @t4797 () (tptp.hAPP @t3057 @t2033)) % 6.34/6.54 (define @t4798 () (tptp.hBOOL (tptp.hAPP @t4797 @t4774))) % 6.34/6.54 (define @t4799 () (tptp.c_Set_Oimage @t2687 @t127 @t2610)) % 6.34/6.54 (define @t4800 () (tptp.hAPP @t4799 @t4783)) % 6.34/6.54 (define @t4801 () (tptp.c_Set_Oimage @t2450 @t127 @t2566)) % 6.34/6.54 (define @t4802 () (tptp.hAPP @t4801 @t4774)) % 6.34/6.54 (define @t4803 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t30 @t3486) @t1235)) % 6.34/6.54 (define @t4804 () (tptp.c_Finite__Set_Ofold1 @t30 @t2520)) % 6.34/6.54 (define @t4805 () (tptp.hAPP @t4804 @t1235)) % 6.34/6.54 (define @t4806 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t30 @t2644) @t1235)) % 6.34/6.54 (define @t4807 () (tptp.hAPP @t4744 @t2823)) % 6.34/6.54 (define @t4808 () (tptp.hAPP @t3967 (tptp.hAPP @t4714 @t1473))) % 6.34/6.54 (define @t4809 () (tptp.c_Set_Oinsert @t2450)) % 6.34/6.54 (define @t4810 () (tptp.hAPP @t4809 @t2413)) % 6.34/6.54 (define @t4811 () (@var "V_E_2" $$unsorted)) % 6.34/6.54 (define @t4812 () (tptp.tc_fun @t2743 @t3040)) % 6.34/6.54 (define @t4813 () (tptp.tc_fun @t2456 @t3040)) % 6.34/6.54 (define @t4814 () (tptp.tc_fun @t2456 @t2743)) % 6.34/6.54 (define @t4815 () (tptp.tc_fun @t2456 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4816 () (tptp.tc_fun @t3040 @t3040)) % 6.34/6.54 (define @t4817 () (tptp.tc_fun @t127 @t4816)) % 6.34/6.54 (define @t4818 () (tptp.tc_fun @t127 @t3040)) % 6.34/6.54 (define @t4819 () (tptp.hBOOL (tptp.hAPP @t1212 @t4))) % 6.34/6.54 (define @t4820 () (forall @t8 (=> @t3020 @t4819))) % 6.34/6.54 (define @t4821 () (tptp.hAPP @t937 @t4805)) % 6.34/6.54 (define @t4822 () (= (tptp.hAPP @t4746 @t2825) (tptp.hAPP @t812 @t4747))) % 6.34/6.54 (define @t4823 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t30)) % 6.34/6.54 (define @t4824 () (tptp.hAPP @t937 @t4)) % 6.34/6.54 (define @t4825 () (tptp.hAPP @t507 @t4)) % 6.34/6.54 (define @t4826 () (@list @t1235 @t2033 @t30)) % 6.34/6.54 (define @t4827 () (tptp.tc_fun @t2742 @t465)) % 6.34/6.54 (define @t4828 () (tptp.c_COMBB @t2451 @t4827 @t30)) % 6.34/6.54 (define @t4829 () (tptp.c_COMBS @t30 @t2742 @t465)) % 6.34/6.54 (define @t4830 () (tptp.hAPP @t4829 (tptp.hAPP (tptp.hAPP @t4828 @t4541) @t2))) % 6.34/6.54 (define @t4831 () (tptp.c_Groups_Oone__class_Oone @t465)) % 6.34/6.54 (define @t4832 () (tptp.hAPP (tptp.c_COMBB @t2742 tptp.tc_Nat_Onat @t30) @t3711)) % 6.34/6.54 (define @t4833 () (tptp.hAPP (tptp.hAPP @t776 @t4) @t412)) % 6.34/6.54 (define @t4834 () (forall @t473 (=> @t4522 (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP @t1473 @t472)))))) % 6.34/6.54 (define @t4835 () (tptp.hAPP @t2411 @t4)) % 6.34/6.54 (define @t4836 () (tptp.hAPP @t4835 @t412)) % 6.34/6.54 (define @t4837 () (tptp.hAPP @t3039 @t25)) % 6.34/6.54 (define @t4838 () (tptp.tc_prod @t30 @t465)) % 6.34/6.54 (define @t4839 () (tptp.tc_fun @t4838 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4840 () (tptp.tc_prod @t127 @t2456)) % 6.34/6.54 (define @t4841 () (tptp.c_Set_Oimage @t4840 @t4838 (tptp.c_Product__Type_Omap__pair @t127 @t30 @t2456 @t465 @t2 @t1))) % 6.34/6.54 (define @t4842 () (tptp.c_Set_Oimage @t2456 @t465 @t1)) % 6.34/6.54 (define @t4843 () (tptp.c_COMBK @t2475 @t30)) % 6.34/6.54 (define @t4844 () (tptp.c_Product__Type_OSigma @t30 @t465)) % 6.34/6.54 (define @t4845 () (tptp.hAPP @t4844 @t1235)) % 6.34/6.54 (define @t4846 () (tptp.c_Product__Type_Omap__pair @t30 @t465 @t127 @t2456 @t2 @t1)) % 6.34/6.54 (define @t4847 () (tptp.hAPP @t1 @t64)) % 6.34/6.54 (define @t4848 () (tptp.c_Product__Type_OPair @t465 @t2456)) % 6.34/6.54 (define @t4849 () (tptp.c_member @t2696)) % 6.34/6.54 (define @t4850 () (tptp.tc_prod @t2456 @t465)) % 6.34/6.54 (define @t4851 () (@var "V_prod_2" $$unsorted)) % 6.34/6.54 (define @t4852 () (tptp.c_Product__Type_Omap__pair @t465 @t30 @t2456 @t127 @t2 @t1)) % 6.34/6.54 (define @t4853 () (tptp.tc_prod @t2454 @t2692)) % 6.34/6.54 (define @t4854 () (tptp.c_Product__Type_Omap__pair @t30 @t30 @t127 @t127 @t2221 (tptp.c_COMBI @t127))) % 6.34/6.54 (define @t4855 () (tptp.tc_fun @t2456 @t2696)) % 6.34/6.54 (define @t4856 () (tptp.tc_fun @t127 @t2696)) % 6.34/6.54 (define @t4857 () (tptp.tc_fun @t127 @t2456)) % 6.34/6.54 (define @t4858 () (@var "V_B_H_2" $$unsorted)) % 6.34/6.54 (define @t4859 () (tptp.hAPP tptp.c_Int_ORep__Integ @t4)) % 6.34/6.54 (define @t4860 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4698 @t696) tptp.c_Int_OInteg))) % 6.34/6.54 (define @t4861 () (tptp.c_COMBC @t2371 @t2371 @t2371)) % 6.34/6.54 (define @t4862 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t3920 @t30) (tptp.hAPP @t4861 @t2583)) @t2947)) % 6.34/6.54 (define @t4863 () (tptp.hAPP @t2950 @t474)) % 6.34/6.54 (define @t4864 () (tptp.c_COMBC tptp.tc_Nat_Onat @t2246 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4865 () (tptp.hAPP @t4864 @t3334)) % 6.34/6.54 (define @t4866 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 6.34/6.54 (define @t4867 () (tptp.hAPP @t3702 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP @t2953 (tptp.hAPP @t2951 (tptp.hAPP @t4865 @t3622))) (tptp.hAPP @t4863 @t4169))))) % 6.34/6.54 (define @t4868 () (tptp.hAPP @t4863 @t178)) % 6.34/6.54 (define @t4869 () (tptp.tc_fun @t2246 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4870 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4869 tptp.tc_Nat_Onat) @t3334)) % 6.34/6.54 (define @t4871 () (tptp.hAPP @t4864 (tptp.hAPP @t4870 tptp.c_Nat_OSuc))) % 6.34/6.54 (define @t4872 () (tptp.hAPP @t3702 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP @t2953 (tptp.hAPP @t2951 (tptp.hAPP @t4871 @t3622))) @t4868)))) % 6.34/6.54 (define @t4873 () (tptp.hAPP @t3334 @t214)) % 6.34/6.54 (define @t4874 () (tptp.hBOOL (tptp.hAPP @t4873 @t3622))) % 6.34/6.54 (define @t4875 () (@list @t178 @t3622)) % 6.34/6.54 (define @t4876 () (tptp.c_Set_OCollect @t30)) % 6.34/6.54 (define @t4877 () (tptp.hAPP @t4876 @t27)) % 6.34/6.54 (define @t4878 () (tptp.hBOOL (tptp.hAPP @t3002 @t4877))) % 6.34/6.54 (define @t4879 () (tptp.hBOOL (tptp.hAPP @t27 @t140))) % 6.34/6.54 (define @t4880 () (@list @t30 @t140 @t27)) % 6.34/6.54 (define @t4881 () (tptp.hAPP @t2773 @t27)) % 6.34/6.54 (define @t4882 () (tptp.hAPP @t4344 @t4881)) % 6.34/6.54 (define @t4883 () (tptp.hAPP @t4876 (tptp.hAPP @t4882 @t21))) % 6.34/6.54 (define @t4884 () (tptp.hAPP @t4876 @t21)) % 6.34/6.54 (define @t4885 () (tptp.hBOOL (tptp.hAPP @t3391 @t4884))) % 6.34/6.54 (define @t4886 () (tptp.hBOOL (tptp.hAPP @t3391 @t4877))) % 6.34/6.54 (define @t4887 () (@list @t21 @t27 @t30)) % 6.34/6.54 (define @t4888 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t127 @t2)) % 6.34/6.54 (define @t4889 () (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t2773 @t2782)) @t27))) % 6.34/6.54 (define @t4890 () (not @t4879)) % 6.34/6.54 (define @t4891 () (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t2773 @t2470)) @t27))) % 6.34/6.54 (define @t4892 () (tptp.hAPP @t4876 @t2782)) % 6.34/6.54 (define @t4893 () (tptp.c_Set_OCollect @t127)) % 6.34/6.54 (define @t4894 () (tptp.hAPP @t4744 @t4877)) % 6.34/6.54 (define @t4895 () (tptp.hAPP @t2776 @t4881)) % 6.34/6.54 (define @t4896 () (tptp.c_Set_OCollect @t2450)) % 6.34/6.54 (define @t4897 () (@list @t21 @t27 @t127 @t30)) % 6.34/6.54 (define @t4898 () (tptp.hAPP @t4015 @t4893)) % 6.34/6.54 (define @t4899 () (tptp.hAPP @t2599 @t4877)) % 6.34/6.54 (define @t4900 () (tptp.hAPP @t4086 tptp.c_fNot)) % 6.34/6.54 (define @t4901 () (tptp.hAPP @t4900 @t27)) % 6.34/6.54 (define @t4902 () (tptp.hAPP @t4876 @t4901)) % 6.34/6.54 (define @t4903 () (@list @t27 @t30)) % 6.34/6.54 (define @t4904 () (tptp.hAPP @t4893 @t27)) % 6.34/6.54 (define @t4905 () (tptp.hAPP @t2772 tptp.c_fdisj)) % 6.34/6.54 (define @t4906 () (@list @t27 @t140 @t30)) % 6.34/6.54 (define @t4907 () (tptp.c_COMBK tptp.tc_HOL_Obool @t30)) % 6.34/6.54 (define @t4908 () (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t4905 @t27)) @t21))) % 6.34/6.54 (define @t4909 () (tptp.hAPP @t2772 tptp.c_fimplies)) % 6.34/6.54 (define @t4910 () (tptp.hAPP @t4907 tptp.c_fFalse)) % 6.34/6.54 (define @t4911 () (not @t1059)) % 6.34/6.54 (define @t4912 () (forall @t8 @t4911)) % 6.34/6.54 (define @t4913 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t3743 @t465) @t2) @t1)) % 6.34/6.54 (define @t4914 () (tptp.hAPP @t668 @t628)) % 6.34/6.54 (define @t4915 () (tptp.hAPP @t3463 @t4877)) % 6.34/6.54 (define @t4916 () (tptp.hAPP @t4876 (tptp.hAPP @t4345 @t4457))) % 6.34/6.54 (define @t4917 () (tptp.tc_fun @t4351 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4918 () (tptp.hAPP (tptp.c_COMBB @t4351 @t4917 @t30) tptp.c_fequal)) % 6.34/6.54 (define @t4919 () (@list @t325 @t127 @t30)) % 6.34/6.54 (define @t4920 () (tptp.hAPP @t4342 @t2474)) % 6.34/6.54 (define @t4921 () (tptp.hAPP @t4344 (tptp.hAPP @t2773 @t3031))) % 6.34/6.54 (define @t4922 () (tptp.hAPP @t4002 @t4876)) % 6.34/6.54 (define @t4923 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 @t127)) % 6.34/6.54 (define @t4924 () (tptp.hAPP @t4923 tptp.c_fconj)) % 6.34/6.54 (define @t4925 () (tptp.c_COMBS @t127 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4926 () (tptp.hAPP @t4898 (tptp.hAPP (tptp.hAPP @t4015 (tptp.hAPP @t4925 (tptp.hAPP @t4924 (tptp.hAPP @t4662 @t3853)))) @t2474))) % 6.34/6.54 (define @t4927 () (tptp.hBOOL (tptp.hAPP @t3406 @t3853))) % 6.34/6.54 (define @t4928 () (tptp.hAPP @t2774 tptp.c_fNot)) % 6.34/6.54 (define @t4929 () (tptp.hAPP @t3547 @t3028)) % 6.34/6.54 (define @t4930 () (tptp.c_Map_Odom @t30 @t127 @t1)) % 6.34/6.54 (define @t4931 () (tptp.tc_fun @t4351 @t4351)) % 6.34/6.54 (define @t4932 () (tptp.tc_fun @t3345 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4933 () (tptp.hAPP @t4920 @t4)) % 6.34/6.54 (define @t4934 () (tptp.c_Set_OCollect @t2371)) % 6.34/6.54 (define @t4935 () (tptp.hAPP @t4934 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2371 @t2371 tptp.tc_HOL_Obool) @t2372) @t1235))) % 6.34/6.54 (define @t4936 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t30 @t127 @t2 @t1 @t1235) @t140)) % 6.34/6.54 (define @t4937 () (=> @t3026 (= @t4936 @t2416))) % 6.34/6.54 (define @t4938 () (@list @t1 @t2 @t127 @t1235 @t140 @t30)) % 6.34/6.54 (define @t4939 () (=> @t3003 (= @t4936 @t4111))) % 6.34/6.54 (define @t4940 () (@list @t1 @t2 @t127 @t30)) % 6.34/6.54 (define @t4941 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 6.34/6.54 (define @t4942 () (tptp.hAPP @t4941 (tptp.hAPP @t2469 @t27))) % 6.34/6.54 (define @t4943 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 @t2371)) % 6.34/6.54 (define @t4944 () (tptp.tc_fun @t2371 @t2251)) % 6.34/6.54 (define @t4945 () (tptp.hAPP (tptp.c_COMBB @t2944 @t4944 @t2371) (tptp.hAPP @t4943 tptp.c_fconj))) % 6.34/6.54 (define @t4946 () (tptp.c_COMBS @t2371 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4947 () (tptp.hAPP (tptp.c_COMBB @t4944 @t3875 @t2371) @t4946)) % 6.34/6.54 (define @t4948 () (tptp.c_COMBC @t2371 @t2944 @t2944)) % 6.34/6.54 (define @t4949 () (tptp.tc_fun @t127 @t3102)) % 6.34/6.54 (define @t4950 () (tptp.tc_fun @t30 @t3102)) % 6.34/6.54 (define @t4951 () (tptp.tc_fun @t3219 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4952 () (tptp.tc_fun @t30 @t4951)) % 6.34/6.54 (define @t4953 () (tptp.c_Set_OCollect @t3064)) % 6.34/6.54 (define @t4954 () (tptp.hAPP (tptp.hAPP @t2777 (tptp.hAPP @t2776 @t4085)) @t4717)) % 6.34/6.54 (define @t4955 () (tptp.hAPP @t2255 (tptp.hAPP @t897 @t819))) % 6.34/6.54 (define @t4956 () (tptp.c_Set_OCollect @t2238)) % 6.34/6.54 (define @t4957 () (tptp.c_Int_Oint__ge__less__than2 @t819)) % 6.34/6.54 (define @t4958 () (@list @t819)) % 6.34/6.54 (define @t4959 () (tptp.c_Int_Oint__ge__less__than @t819)) % 6.34/6.54 (define @t4960 () (tptp.hAPP @t4953 (tptp.hAPP @t3929 @t2033))) % 6.34/6.54 (define @t4961 () (tptp.c_Predicate_Oreflp @t30 @t2033)) % 6.34/6.54 (define @t4962 () (tptp.hAPP @t2033 @t378)) % 6.34/6.54 (define @t4963 () (tptp.hAPP @t4088 @t4457)) % 6.34/6.54 (define @t4964 () (tptp.tc_fun @t2265 @t2371)) % 6.34/6.54 (define @t4965 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t4964 @t30) (tptp.c_COMBB @t30 tptp.tc_HOL_Obool @t30)) tptp.c_fequal)) % 6.34/6.54 (define @t4966 () (tptp.hAPP (tptp.c_COMBC @t30 @t2266 @t2373) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4964 (tptp.tc_fun @t2266 @t2373) @t30) (tptp.c_COMBB @t2265 @t2371 @t30)) @t4965))) % 6.34/6.54 (define @t4967 () (tptp.tc_fun @t30 @t4099)) % 6.34/6.54 (define @t4968 () (tptp.hAPP (tptp.c_COMBB @t2373 @t4967 @t30) @t4100)) % 6.34/6.54 (define @t4969 () (tptp.hAPP (tptp.c_COMBB @t4099 @t3920 @t30) @t4344)) % 6.34/6.54 (define @t4970 () (tptp.tc_fun @t30 @t3920)) % 6.34/6.54 (define @t4971 () (tptp.hAPP (tptp.c_COMBB @t4967 @t4970 @t30) @t4969)) % 6.34/6.54 (define @t4972 () (tptp.hAPP (tptp.c_COMBB @t4970 (tptp.tc_fun @t2373 @t2373) @t30) (tptp.c_COMBS @t30 @t2371 @t2371))) % 6.34/6.54 (define @t4973 () (tptp.c_COMBC @t30 @t2373 @t2373)) % 6.34/6.54 (define @t4974 () (tptp.c_HOL_OEx @t30)) % 6.34/6.54 (define @t4975 () (tptp.hAPP @t2948 @t4974)) % 6.34/6.54 (define @t4976 () (tptp.hAPP (tptp.c_COMBB @t2373 @t2371 @t30) @t4975)) % 6.34/6.54 (define @t4977 () (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t127)) % 6.34/6.54 (define @t4978 () (tptp.hAPP @t4977 @t4974)) % 6.34/6.54 (define @t4979 () (tptp.c_COMBC @t127 @t30 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4980 () (tptp.hAPP (tptp.c_COMBB @t2717 @t4634 @t127) tptp.c_fequal)) % 6.34/6.54 (define @t4981 () (tptp.c_COMBC @t127 @t2717 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t4982 () (tptp.c_COMBB @t2742 tptp.tc_HOL_Obool @t30)) % 6.34/6.54 (define @t4983 () (tptp.hAPP @t4982 (tptp.c_HOL_OEx @t127))) % 6.34/6.54 (define @t4984 () (tptp.c_COMBB @t2944 tptp.tc_HOL_Obool @t2371)) % 6.34/6.54 (define @t4985 () (tptp.hAPP @t354 @t327)) % 6.34/6.54 (define @t4986 () (tptp.hAPP (tptp.c_COMBC @t30 @t2265 @t2371) @t4965)) % 6.34/6.54 (define @t4987 () (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4969 (tptp.hAPP @t4100 (tptp.hAPP @t4986 @t4985)))) (tptp.hAPP @t3030 @t3455))))) % 6.34/6.54 (define @t4988 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t30)) % 6.34/6.54 (define @t4989 () (@list @t327 @t3455 @t30)) % 6.34/6.54 (define @t4990 () (tptp.class_Lattices_Odistrib__lattice @t30)) % 6.34/6.54 (define @t4991 () (tptp.tc_fun @t465 @t465)) % 6.34/6.54 (define @t4992 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t2451 @t2451) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4991 (tptp.tc_fun @t2451 @t2451) @t30) (tptp.c_COMBB @t465 @t465 @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t4991 @t30) @t4587) @t2))) @t1)) % 6.34/6.54 (define @t4993 () (tptp.tc_fun @t2451 @t2742)) % 6.34/6.54 (define @t4994 () (tptp.tc_fun @t30 @t2451)) % 6.34/6.54 (define @t4995 () (tptp.tc_fun @t127 @t2251)) % 6.34/6.54 (define @t4996 () (tptp.tc_fun @t30 @t4995)) % 6.34/6.54 (define @t4997 () (tptp.tc_fun @t30 @t2775)) % 6.34/6.54 (define @t4998 () (tptp.c_Fun_Oid @t30)) % 6.34/6.54 (define @t4999 () (tptp.c_Fun_Oid @t2450)) % 6.34/6.54 (define @t5000 () (tptp.c_Fun_Oid @t127)) % 6.34/6.54 (define @t5001 () (tptp.c_Fun_Oid @t35)) % 6.34/6.54 (define @t5002 () (@var "V_x_1" $$unsorted)) % 6.34/6.54 (define @t5003 () (tptp.c_Fun_Ocomp @t127 @t127 @t30 @t5000)) % 6.34/6.54 (define @t5004 () (tptp.c_Set_Oimage @t30 @t30 @t4998)) % 6.34/6.54 (define @t5005 () (@list @t1473 @t2 @t30 @t127)) % 6.34/6.54 (define @t5006 () (tptp.tc_prod @t465 @t127)) % 6.34/6.54 (define @t5007 () (tptp.c_member @t5006)) % 6.34/6.54 (define @t5008 () (tptp.tc_fun @t5006 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5009 () (tptp.tc_fun @t5008 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5010 () (tptp.tc_fun @t465 @t5009)) % 6.34/6.54 (define @t5011 () (tptp.c_member @t4838)) % 6.34/6.54 (define @t5012 () (tptp.tc_fun @t4839 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5013 () (tptp.tc_fun @t465 @t5012)) % 6.34/6.54 (define @t5014 () (tptp.tc_fun @t465 @t2251)) % 6.34/6.54 (define @t5015 () (tptp.c_Relation_Orel__comp @t30 @t465 @t127)) % 6.34/6.54 (define @t5016 () (tptp.hAPP (tptp.hAPP @t5015 @t2033) @t61)) % 6.34/6.54 (define @t5017 () (tptp.c_Relation_Orel__comp @t30 @t127 @t465)) % 6.34/6.54 (define @t5018 () (tptp.hAPP (tptp.hAPP @t5017 @t2033) @t61)) % 6.34/6.54 (define @t5019 () (tptp.hAPP @t5015 @t61)) % 6.34/6.54 (define @t5020 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2456 @t3040) @t3971)) % 6.34/6.54 (define @t5021 () (tptp.hAPP @t5015 @t2474)) % 6.34/6.54 (define @t5022 () (@list @t2474 @t127 @t465 @t30)) % 6.34/6.54 (define @t5023 () (tptp.c_Orderings_Oord__class_Oless__eq @t4839)) % 6.34/6.54 (define @t5024 () (tptp.c_Orderings_Oord__class_Oless__eq @t4677)) % 6.34/6.54 (define @t5025 () (tptp.c_Relation_Orel__comp @t30 @t30 @t30)) % 6.34/6.54 (define @t5026 () (tptp.hAPP @t5025 @t1235)) % 6.34/6.54 (define @t5027 () (= (tptp.hAPP @t5026 @t2588) @t3073)) % 6.34/6.54 (define @t5028 () (tptp.tc_fun @t3234 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5029 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3234) (tptp.hAPP (tptp.hAPP @t3233 @t2815) @t2815)) (tptp.c_Orderings_Obot__class_Obot @t5028))) % 6.34/6.54 (define @t5030 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5028)) % 6.34/6.54 (define @t5031 () (tptp.c_Relation_Orel__comp @t2371 @t2371 @t2371)) % 6.34/6.54 (define @t5032 () (tptp.c_Orderings_Oord__class_Oless__eq @t5028)) % 6.34/6.54 (define @t5033 () (tptp.hAPP @t5025 @t2474)) % 6.34/6.54 (define @t5034 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 (tptp.hAPP @t5033 @t3028)) @t2474))) % 6.34/6.54 (define @t5035 () (tptp.c_Wellfounded_Omin__ext @t30 @t2474)) % 6.34/6.54 (define @t5036 () (tptp.hAPP @t3043 @t2033)) % 6.34/6.54 (define @t5037 () (tptp.c_Wellfounded_Owf @t30 @t2474)) % 6.34/6.54 (define @t5038 () (tptp.c_Wellfounded_Owf @t30 @t2033)) % 6.34/6.54 (define @t5039 () (@list @t2 @t127 @t2033 @t30)) % 6.34/6.54 (define @t5040 () (@var "V_rb_2" $$unsorted)) % 6.34/6.54 (define @t5041 () (@var "V_ra_2" $$unsorted)) % 6.34/6.54 (define @t5042 () (tptp.hAPP @t5033 @t2474)) % 6.34/6.54 (define @t5043 () (tptp.hAPP @t3359 @t2474)) % 6.34/6.54 (define @t5044 () (tptp.hAPP @t5043 @t3028)) % 6.34/6.54 (define @t5045 () (tptp.c_Wellfounded_Owf @t30 @t5044)) % 6.34/6.54 (define @t5046 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5047 () (tptp.c_Set_OCollect @t2422)) % 6.34/6.54 (define @t5048 () (@list @t1615 @t2033 @t30)) % 6.34/6.54 (define @t5049 () (tptp.hAPP @t2033 @t84)) % 6.34/6.54 (define @t5050 () (@list @t3343 @t2033 @t30)) % 6.34/6.54 (define @t5051 () (tptp.hAPP @t4202 @t1238)) % 6.34/6.54 (define @t5052 () (tptp.c_Relation_OImage @t30 @t30 @t2474)) % 6.34/6.54 (define @t5053 () (tptp.c_Wellfounded_Owf @t30 @t3028)) % 6.34/6.54 (define @t5054 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3071 @t3071) @t27)) % 6.34/6.54 (define @t5055 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3071 @t3071) @t27)) % 6.34/6.54 (define @t5056 () (tptp.hAPP @t3072 @t3028)) % 6.34/6.54 (define @t5057 () (tptp.hAPP @t3072 @t2474)) % 6.34/6.54 (define @t5058 () (tptp.c_List_Olenlex @t30 @t2033)) % 6.34/6.54 (define @t5059 () (tptp.tc_List_Olist @t30)) % 6.34/6.54 (define @t5060 () (tptp.c_List_Olex @t30 @t2033)) % 6.34/6.54 (define @t5061 () (tptp.c_List_Olexn @t30 @t2033)) % 6.34/6.54 (define @t5062 () (tptp.tc_prod @t5059 @t5059)) % 6.34/6.54 (define @t5063 () (tptp.tc_fun @t5062 tptp.tc_HOL_Obool)) % 6.34/6.54 (define @t5064 () (tptp.hAPP @t5061 @t23)) % 6.34/6.54 (define @t5065 () (@list @t23 @t2033 @t30)) % 6.34/6.54 (define @t5066 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t30 tptp.tc_HOL_Obool) @t27)) % 6.34/6.54 (define @t5067 () (tptp.c_Relation_ORange @t127 @t30)) % 6.34/6.54 (define @t5068 () (tptp.hAPP (tptp.c_Relation_ORange @t30 @t127) @t2033)) % 6.34/6.54 (define @t5069 () (@list @t2033 @t64 @t140 @t127 @t30)) % 6.34/6.54 (define @t5070 () (tptp.c_Relation_ORange @t30 @t30)) % 6.34/6.54 (define @t5071 () (tptp.c_Orderings_Obot__class_Obot @t3345)) % 6.34/6.54 (define @t5072 () (tptp.hAPP @t5067 @t2033)) % 6.34/6.54 (define @t5073 () (@list @t2033 @t30 @t127)) % 6.34/6.54 (define @t5074 () (tptp.hAPP @t5067 @t1473)) % 6.34/6.54 (define @t5075 () (tptp.hAPP @t5067 @t1235)) % 6.34/6.54 (define @t5076 () (tptp.hBOOL (tptp.hAPP @t4646 @t2033))) % 6.34/6.54 (define @t5077 () (@list @t2033 @t127 @t30)) % 6.34/6.54 (define @t5078 () (@list @t2033 @t127 @t140 @t30)) % 6.34/6.54 (define @t5079 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3345)) % 6.34/6.54 (define @t5080 () (tptp.c_Predicate_ORangeP @t30 @t127 @t2033)) % 6.34/6.54 (define @t5081 () (@list @t127 @t30 @t64 @t140 @t2033)) % 6.34/6.54 (define @t5082 () (tptp.c_Relation_ODomain @t30 @t30)) % 6.34/6.54 (define @t5083 () (tptp.hAPP @t5082 @t2033)) % 6.34/6.54 (define @t5084 () (tptp.c_Wellfounded_OwfP @t30 @t2033)) % 6.34/6.54 (define @t5085 () (tptp.c_Relation_ODomain @t30 @t127)) % 6.34/6.54 (define @t5086 () (tptp.hAPP @t5085 @t2033)) % 6.34/6.54 (define @t5087 () (tptp.hBOOL (tptp.hAPP @t3002 @t5086))) % 6.34/6.54 (define @t5088 () (tptp.hBOOL (tptp.hAPP @t4797 @t61))) % 6.34/6.54 (define @t5089 () (@list @t61 @t2033 @t127 @t30)) % 6.34/6.54 (define @t5090 () (tptp.hAPP @t5085 @t1473)) % 6.34/6.54 (define @t5091 () (tptp.hAPP @t5085 @t1235)) % 6.34/6.54 (define @t5092 () (tptp.c_Set_Oimage @t2450 @t30 @t2567)) % 6.34/6.54 (define @t5093 () (@list @t2474 @t127 @t30)) % 6.34/6.54 (define @t5094 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 (tptp.hAPP @t2412 @t412)) @t2033))) % 6.34/6.54 (define @t5095 () (tptp.hAPP @t5070 @t2033)) % 6.34/6.54 (define @t5096 () (tptp.c_Predicate_ODomainP @t30 @t127 @t2033)) % 6.34/6.54 (define @t5097 () (tptp.c_New__Random__Sequence_Opos__single @t30)) % 6.34/6.54 (define @t5098 () (tptp.c_Wellfounded_Oacyclic @t30 @t2033)) % 6.34/6.54 (define @t5099 () (@list @t2033 @t61 @t30)) % 6.34/6.54 (define @t5100 () (@list @t2673 @t2674 @t2675 @t378 @t30)) % 6.34/6.54 (define @t5101 () (@list @t2739 @t136 @t35)) % 6.34/6.54 (define @t5102 () (tptp.c_New__Random__Sequence_Oneg__single @t30)) % 6.34/6.54 (define @t5103 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4698 @t412) tptp.c_Int_OInteg))) % 6.34/6.54 (define @t5104 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t412)) % 6.34/6.54 (define @t5105 () (tptp.hAPP @t2033 @t590)) % 6.34/6.54 (define @t5106 () (tptp.hAPP @t2033 @t1238)) % 6.34/6.54 (define @t5107 () (tptp.hAPP @t507 @t6)) % 6.34/6.54 (define @t5108 () (tptp.hAPP @t3314 @t628)) % 6.34/6.54 (define @t5109 () (tptp.c_Hilbert__Choice_OEps @t30 @t27)) % 6.34/6.54 (define @t5110 () (tptp.hBOOL (tptp.hAPP @t27 @t5109))) % 6.34/6.54 (define @t5111 () (@list @t30 @t27)) % 6.34/6.54 (define @t5112 () (@var "B_P" $$unsorted)) % 6.34/6.54 (define @t5113 () (@list @t4152)) % 6.34/6.54 (define @t5114 () (tptp.hAPP @t3061 @t412)) % 6.34/6.54 (define @t5115 () (tptp.c_Wellfounded_Oacc @t30 @t2474)) % 6.34/6.54 (define @t5116 () (tptp.hAPP @t3061 @t1470)) % 6.34/6.54 (define @t5117 () (@list @t2474 @t378 @t30)) % 6.34/6.54 (define @t5118 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.34/6.54 (define @t5119 () (tptp.hAPP @t3128 (tptp.hAPP @t3376 @t23))) % 6.34/6.54 (define @t5120 () (tptp.c_Finite__Set_Ofold @t30 @t30 @t2644)) % 6.34/6.54 (define @t5121 () (tptp.hAPP (tptp.hAPP @t5120 @t378) @t1235)) % 6.34/6.54 (define @t5122 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t127 @t30 @t2) @t628)) % 6.34/6.54 (define @t5123 () (tptp.c_Finite__Set_Ofold @t30 @t127 @t2)) % 6.34/6.54 (define @t5124 () (tptp.c_Transitive__Closure_Otrancl @t30 @t2033)) % 6.34/6.54 (define @t5125 () (tptp.c_Finite__Set_Ofold @t30 @t30 @t3155)) % 6.34/6.54 (define @t5126 () (tptp.hAPP @t5125 @t64)) % 6.34/6.54 (define @t5127 () (tptp.hAPP @t5126 @t1235)) % 6.34/6.54 (define @t5128 () (@list @t140 @t64 @t1235 @t30)) % 6.34/6.54 (define @t5129 () (tptp.c_Finite__Set_Ofold @t30 @t30 @t3486)) % 6.34/6.54 (define @t5130 () (tptp.hAPP @t5129 @t64)) % 6.34/6.54 (define @t5131 () (tptp.hAPP @t5130 @t1235)) % 6.34/6.54 (define @t5132 () (tptp.c_Finite__Set_Ofold @t30 @t30 @t2520)) % 6.34/6.54 (define @t5133 () (tptp.hAPP @t5132 @t64)) % 6.34/6.54 (define @t5134 () (tptp.hAPP @t5133 @t1235)) % 6.34/6.54 (define @t5135 () (tptp.hAPP @t5120 @t64)) % 6.34/6.54 (define @t5136 () (tptp.hAPP @t5135 @t1235)) % 6.34/6.54 (define @t5137 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t3066 @t5124))))) % 6.34/6.54 (define @t5138 () (tptp.hAPP @t5123 @t628)) % 6.34/6.54 (define @t5139 () (tptp.hAPP @t5138 @t1235)) % 6.34/6.54 (define @t5140 () (tptp.hAPP @t668 @t5139)) % 6.34/6.54 (define @t5141 () (tptp.hAPP @t5138 @t2825)) % 6.34/6.54 (define @t5142 () (= @t5141 @t5140)) % 6.34/6.54 (define @t5143 () (@list @t378 @t628 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t5144 () (tptp.hAPP (tptp.hAPP @t5123 @t4914) @t1235)) % 6.34/6.54 (define @t5145 () (= @t5141 @t5144)) % 6.34/6.54 (define @t5146 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t127)) % 6.34/6.54 (define @t5147 () (tptp.c_Finite__Set_Ofold @t30 @t127 (tptp.hAPP (tptp.hAPP @t3811 @t5146) @t2))) % 6.34/6.54 (define @t5148 () (tptp.c_Finite__Set_Ofold @t30 @t30 @t2)) % 6.34/6.54 (define @t5149 () (tptp.hAPP @t3610 @t64)) % 6.34/6.54 (define @t5150 () (@list @t64 @t140 @t1235 @t30)) % 6.34/6.54 (define @t5151 () (tptp.hAPP @t3613 @t64)) % 6.34/6.54 (define @t5152 () (= (tptp.hAPP @t4746 @t2823) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t30 @t30 @t776) @t140) @t1235))) % 6.34/6.54 (define @t5153 () (tptp.hAPP (tptp.hAPP @t5132 @t140) @t1235)) % 6.34/6.54 (define @t5154 () (tptp.hAPP (tptp.hAPP @t5120 @t140) @t1235)) % 6.34/6.54 (define @t5155 () (tptp.hAPP (tptp.hAPP @t5132 @t378) @t1235)) % 6.34/6.54 (define @t5156 () (tptp.hBOOL (tptp.hAPP @t3363 @t5124))) % 6.34/6.54 (define @t5157 () (tptp.hAPP @t3072 @t5124)) % 6.34/6.54 (define @t5158 () (tptp.hAPP @t3065 @t1615)) % 6.34/6.54 (define @t5159 () (tptp.hBOOL (tptp.hAPP @t5158 @t5124))) % 6.34/6.54 (define @t5160 () (tptp.hBOOL (tptp.hAPP @t5158 @t2033))) % 6.34/6.54 (define @t5161 () (@list @t2033 @t1615 @t30)) % 6.34/6.54 (define @t5162 () (tptp.hAPP @t3065 (tptp.hAPP @t3104 @t25))) % 6.34/6.54 (define @t5163 () (tptp.hBOOL (tptp.hAPP @t5162 @t5124))) % 6.34/6.54 (define @t5164 () (tptp.hAPP @t3061 @t64)) % 6.34/6.54 (define @t5165 () (tptp.hAPP @t3065 (tptp.hAPP @t5164 @t25))) % 6.34/6.54 (define @t5166 () (=> (tptp.hBOOL (tptp.hAPP @t5165 @t5124)) @t5163)) % 6.34/6.54 (define @t5167 () (@list @t25 @t2033 @t64 @t140 @t30)) % 6.34/6.54 (define @t5168 () (tptp.hBOOL (tptp.hAPP @t5165 @t2033))) % 6.34/6.54 (define @t5169 () (=> @t5168 @t5163)) % 6.34/6.54 (define @t5170 () (tptp.c_Transitive__Closure_Otrancl @t30 @t2474)) % 6.34/6.54 (define @t5171 () (tptp.hAPP @t668 (tptp.hAPP @t5138 @t2990))) % 6.34/6.54 (define @t5172 () (tptp.c_Finite__Set_Ofun__left__comm @t30 @t127 @t2)) % 6.34/6.54 (define @t5173 () (@list @t628 @t378 @t1235 @t2 @t127 @t30)) % 6.34/6.54 (define @t5174 () (@var "B_y_H" $$unsorted)) % 6.34/6.54 (define @t5175 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t2033)) % 6.34/6.54 (define @t5176 () (tptp.hAPP @t3359 @t5124)) % 6.34/6.54 (define @t5177 () (tptp.hAPP @t3954 @t378)) % 6.34/6.54 (define @t5178 () (tptp.hAPP (tptp.hAPP @t3307 @t5177) @t2033)) % 6.34/6.54 (define @t5179 () (@list @t2033 @t378 @t696 @t30)) % 6.34/6.54 (define @t5180 () (tptp.hBOOL (tptp.hAPP @t3363 @t5175))) % 6.34/6.54 (define @t5181 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t2474)) % 6.34/6.54 (define @t5182 () (tptp.hAPP (tptp.hAPP @t5025 @t5175) @t2033)) % 6.34/6.54 (define @t5183 () (tptp.hAPP (tptp.hAPP @t5025 @t2033) @t5175)) % 6.34/6.54 (define @t5184 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t61)) % 6.34/6.54 (define @t5185 () (tptp.hAPP @t3072 @t5175)) % 6.34/6.54 (define @t5186 () (tptp.hBOOL (tptp.hAPP @t5185 @t5184))) % 6.34/6.54 (define @t5187 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t3028)) % 6.34/6.54 (define @t5188 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t5044)) % 6.34/6.54 (define @t5189 () (tptp.hAPP @t3359 @t5181)) % 6.34/6.54 (define @t5190 () (tptp.hAPP @t5189 @t5187)) % 6.34/6.54 (define @t5191 () (tptp.hAPP @t3065 @t378)) % 6.34/6.54 (define @t5192 () (tptp.hBOOL (tptp.hAPP @t5162 @t5175))) % 6.34/6.54 (define @t5193 () (tptp.hBOOL (tptp.hAPP @t5165 @t5175))) % 6.34/6.54 (define @t5194 () (=> @t5193 @t5192)) % 6.34/6.54 (define @t5195 () (tptp.hBOOL (tptp.hAPP @t3079 @t5170))) % 6.34/6.54 (define @t5196 () (tptp.hBOOL (tptp.hAPP @t3079 @t5181))) % 6.34/6.54 (define @t5197 () (@list @t2474 @t696 @t378 @t30)) % 6.34/6.54 (define @t5198 () (=> @t5193 @t5163)) % 6.34/6.54 (define @t5199 () (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t628))) % 6.34/6.54 (define @t5200 () (tptp.hBOOL (tptp.hAPP @t3079 @t5175))) % 6.34/6.54 (define @t5201 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t5164 @t140)) @t5175))) % 6.34/6.54 (define @t5202 () (not @t5200)) % 6.34/6.54 (define @t5203 () (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t378))) % 6.34/6.54 (define @t5204 () (tptp.c_Relation_Oconverse @t30 @t30)) % 6.34/6.54 (define @t5205 () (tptp.hAPP @t5204 @t2033)) % 6.34/6.54 (define @t5206 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t127)) % 6.34/6.54 (define @t5207 () (tptp.c_Finite__Set_Ofold @t30 @t127 (tptp.hAPP (tptp.hAPP @t3811 @t5206) @t2))) % 6.34/6.54 (define @t5208 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t30 @t127)) % 6.34/6.54 (define @t5209 () (tptp.hAPP @t5208 @t1235)) % 6.34/6.54 (define @t5210 () (tptp.hAPP @t5209 @t2)) % 6.34/6.54 (define @t5211 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t30 @t2742)) % 6.34/6.54 (define @t5212 () (tptp.hAPP @t5211 @t1235)) % 6.34/6.54 (define @t5213 () (tptp.hAPP @t5212 @t1473)) % 6.34/6.54 (define @t5214 () (tptp.hBOOL (tptp.hAPP @t5213 @t64))) % 6.34/6.54 (define @t5215 () (@list @t140 @t64 @t1473 @t1235 @t127 @t30)) % 6.34/6.54 (define @t5216 () (tptp.hBOOL (tptp.hAPP @t4045 @t1235))) % 6.34/6.54 (define @t5217 () (tptp.hBOOL (tptp.hAPP @t3036 @t3882))) % 6.34/6.54 (define @t5218 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t127 @t2371)) % 6.34/6.54 (define @t5219 () (tptp.hAPP @t5218 @t1235)) % 6.34/6.54 (define @t5220 () (tptp.hAPP @t5219 @t1473)) % 6.34/6.54 (define @t5221 () (tptp.hBOOL (tptp.hAPP @t3036 @t5220))) % 6.34/6.54 (define @t5222 () (@list @t140 @t1473 @t1235 @t127 @t64 @t30)) % 6.34/6.54 (define @t5223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t30 @t4041)) % 6.34/6.54 (define @t5224 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5223 @t1235) @t1473) @t64) @t25))) % 6.34/6.54 (define @t5225 () (@list @t140 @t25 @t64 @t1473 @t1235 @t465 @t127 @t30)) % 6.34/6.54 (define @t5226 () (tptp.hAPP (tptp.hAPP @t5211 @t3971) @t1235)) % 6.34/6.54 (define @t5227 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t5205)) % 6.34/6.54 (define @t5228 () (tptp.hAPP @t5204 @t5124)) % 6.34/6.54 (define @t5229 () (tptp.c_Transitive__Closure_Otrancl @t30 @t5205)) % 6.34/6.54 (define @t5230 () (tptp.c_Wellfounded_Owf @t30 @t5205)) % 6.34/6.54 (define @t5231 () (tptp.hAPP @t5211 @t2588)) % 6.34/6.54 (define @t5232 () (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP @t2777 @t4791) @t1473))) % 6.34/6.54 (define @t5233 () (tptp.hAPP @t5231 @t1235)) % 6.34/6.54 (define @t5234 () (tptp.hAPP (tptp.hAPP @t3547 @t5233) @t1473)) % 6.34/6.54 (define @t5235 () (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP @t4015 @t3548) @t1473))) % 6.34/6.54 (define @t5236 () (tptp.hAPP @t3548 (tptp.hAPP @t5231 @t1473))) % 6.34/6.54 (define @t5237 () (tptp.hAPP @t5212 @t3968)) % 6.34/6.54 (define @t5238 () (tptp.c_Relation_Oconverse @t127 @t30)) % 6.34/6.54 (define @t5239 () (tptp.hAPP @t5218 @t3971)) % 6.34/6.54 (define @t5240 () (tptp.hAPP @t5239 @t1235)) % 6.34/6.54 (define @t5241 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t2371)) % 6.34/6.54 (define @t5242 () (tptp.hAPP @t5241 @t3993)) % 6.34/6.54 (define @t5243 () (tptp.hAPP @t5218 @t2588)) % 6.34/6.54 (define @t5244 () (tptp.hAPP @t5243 (tptp.hAPP (tptp.hAPP @t3921 @t3985) @t1473))) % 6.34/6.54 (define @t5245 () (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP @t5243 @t1235)) @t1473)) % 6.34/6.54 (define @t5246 () (tptp.hAPP @t5243 (tptp.hAPP (tptp.hAPP @t4002 @t3149) @t1473))) % 6.34/6.54 (define @t5247 () (tptp.hAPP @t5243 @t1473)) % 6.34/6.54 (define @t5248 () (tptp.hAPP @t3149 @t5247)) % 6.34/6.54 (define @t5249 () (tptp.hAPP @t5238 @t61)) % 6.34/6.54 (define @t5250 () (tptp.hAPP @t5238 @t2033)) % 6.34/6.54 (define @t5251 () (@list @t61 @t2033 @t30 @t127)) % 6.34/6.54 (define @t5252 () (tptp.hAPP @t937 @t1586)) % 6.34/6.54 (define @t5253 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t127 @t30)) % 6.34/6.54 (define @t5254 () (tptp.hAPP @t5253 @t1235)) % 6.34/6.54 (define @t5255 () (tptp.hAPP @t2822 @t5247)) % 6.34/6.54 (define @t5256 () (tptp.hAPP @t5243 (tptp.hAPP (tptp.hAPP @t4002 @t2822) @t1473))) % 6.34/6.54 (define @t5257 () (tptp.hAPP @t5241 @t1235)) % 6.34/6.54 (define @t5258 () (tptp.hAPP @t5257 @t3892)) % 6.34/6.54 (define @t5259 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t2742) @t1235)) % 6.34/6.54 (define @t5260 () (tptp.hAPP @t5259 @t1473)) % 6.34/6.54 (define @t5261 () (tptp.hAPP @t3351 @t5260)) % 6.34/6.54 (define @t5262 () (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t2607 @t64) @t140))) % 6.34/6.54 (define @t5263 () (tptp.hBOOL (tptp.hAPP @t5262 @t2033))) % 6.34/6.54 (define @t5264 () (tptp.hBOOL (tptp.hAPP @t3315 @t5250))) % 6.34/6.54 (define @t5265 () (tptp.hAPP (tptp.c_Relation_Oconverse @t30 @t127) @t2033)) % 6.34/6.54 (define @t5266 () (tptp.hAPP @t5211 @t4633)) % 6.34/6.54 (define @t5267 () (forall @t8 (=> @t3284 (= @t3885 @t4633)))) % 6.34/6.54 (define @t5268 () (tptp.hAPP (tptp.hAPP @t3986 @t3989) @t1473)) % 6.34/6.54 (define @t5269 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t30) @t1473)) % 6.34/6.54 (define @t5270 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3345 @t3040 @t465) @t5238) @t2033)) % 6.34/6.54 (define @t5271 () (@list @t2033 @t3028 @t465 @t30 @t127)) % 6.34/6.54 (define @t5272 () (tptp.hAPP @t4015 (tptp.hAPP @t4925 (tptp.hAPP (tptp.hAPP @t4923 tptp.c_fimplies) (tptp.hAPP @t4662 @t1235))))) % 6.34/6.54 (define @t5273 () (tptp.hAPP @t4982 (tptp.c_HOL_OAll @t127))) % 6.34/6.54 (define @t5274 () (tptp.hAPP @t3997 (tptp.hAPP (tptp.hAPP @t4002 @t2584) @t1473))) % 6.34/6.54 (define @t5275 () (tptp.hAPP @t2584 @t5247)) % 6.34/6.54 (define @t5276 () (tptp.hAPP (tptp.hAPP @t4002 @t2599) @t1473)) % 6.34/6.54 (define @t5277 () (tptp.hAPP (tptp.hAPP @t5025 @t5205) @t2033)) % 6.34/6.54 (define @t5278 () (= @t5277 @t2033)) % 6.34/6.54 (define @t5279 () (tptp.hAPP @t5085 @t5250)) % 6.34/6.54 (define @t5280 () (tptp.hAPP (tptp.hAPP @t3295 @t5233) @t1473)) % 6.34/6.54 (define @t5281 () (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP @t2777 @t4771) @t1473))) % 6.34/6.54 (define @t5282 () (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP @t4015 @t3296) @t1473))) % 6.34/6.54 (define @t5283 () (tptp.hAPP @t3296 @t4025)) % 6.34/6.54 (define @t5284 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t5177) @t5175))) % 6.34/6.54 (define @t5285 () (tptp.hBOOL (tptp.hAPP @t3079 @t5227))) % 6.34/6.54 (define @t5286 () (@list @t2033 @t696 @t378 @t30)) % 6.34/6.54 (define @t5287 () (tptp.hBOOL (tptp.hAPP @t3079 @t5228))) % 6.34/6.54 (define @t5288 () (tptp.hBOOL (tptp.hAPP @t3079 @t5229))) % 6.34/6.54 (define @t5289 () (tptp.tc_fun @t127 @t4932)) % 6.34/6.54 (define @t5290 () (tptp.c_Relation_OId @t30)) % 6.34/6.55 (define @t5291 () (tptp.hAPP @t3360 @t5290)) % 6.34/6.55 (define @t5292 () (@list @t696 @t378 @t2033 @t30)) % 6.34/6.55 (define @t5293 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3071) @t2033) @t5290)) % 6.34/6.55 (define @t5294 () (tptp.c_Relation_Osingle__valued @t30 @t127 @t2033)) % 6.34/6.55 (define @t5295 () (tptp.hAPP @t4835 @t1470)) % 6.34/6.55 (define @t5296 () (tptp.c_Relation_Ototal__on @t30 @t1235 @t2033)) % 6.34/6.55 (define @t5297 () (tptp.c_Nat_Ocompow @t3064 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5298 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3071) @t4637) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3071 @t3071) @t5297) @t2474))) % 6.34/6.55 (define @t5299 () (tptp.hBOOL (tptp.hAPP @t5158 @t5181))) % 6.34/6.55 (define @t5300 () (@list @t2474 @t1615 @t30)) % 6.34/6.55 (define @t5301 () (tptp.hAPP (tptp.hAPP @t5297 @t214) @t2474)) % 6.34/6.55 (define @t5302 () (tptp.hAPP (tptp.hAPP @t5297 @t23) @t2474)) % 6.34/6.55 (define @t5303 () (@list @t23 @t2474 @t30)) % 6.34/6.55 (define @t5304 () (tptp.hBOOL (tptp.hAPP @t5158 (tptp.hAPP (tptp.hAPP @t5297 @t46) @t2474)))) % 6.34/6.55 (define @t5305 () (@list @t2474 @t23 @t30)) % 6.34/6.55 (define @t5306 () (tptp.c_Nat_Ocompow @t30 @t30)) % 6.34/6.55 (define @t5307 () (tptp.hAPP (tptp.hAPP @t5306 @t325) @t2)) % 6.34/6.55 (define @t5308 () (tptp.hAPP @t5306 @t23)) % 6.34/6.55 (define @t5309 () (tptp.hAPP @t5308 @t2)) % 6.34/6.55 (define @t5310 () (tptp.hAPP (tptp.hAPP @t5025 @t5302) @t2474)) % 6.34/6.55 (define @t5311 () (tptp.hAPP (tptp.hAPP @t5297 @t109) @t2474)) % 6.34/6.55 (define @t5312 () (tptp.hBOOL (tptp.hAPP @t5199 @t5311))) % 6.34/6.55 (define @t5313 () (tptp.hAPP @t3065 (tptp.hAPP @t5114 @t628))) % 6.34/6.55 (define @t5314 () (not (tptp.hBOOL (tptp.hAPP @t5313 @t2474)))) % 6.34/6.55 (define @t5315 () (tptp.hAPP (tptp.hAPP @t5297 @t476) @t2474)) % 6.34/6.55 (define @t5316 () (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t412))) % 6.34/6.55 (define @t5317 () (@list @t412 @t476)) % 6.34/6.55 (define @t5318 () (=> @t338 (not @t4628))) % 6.34/6.55 (define @t5319 () (tptp.hBOOL (tptp.hAPP @t5199 @t5302))) % 6.34/6.55 (define @t5320 () (@list @t2474 @t23 @t628 @t378 @t30)) % 6.34/6.55 (define @t5321 () (tptp.hBOOL (tptp.hAPP @t5316 @t2474))) % 6.34/6.55 (define @t5322 () (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t1235)) % 6.34/6.55 (define @t5323 () (tptp.hAPP @t2788 @t1235)) % 6.34/6.55 (define @t5324 () (tptp.hBOOL (tptp.hAPP @t5323 @t164))) % 6.34/6.55 (define @t5325 () (tptp.hBOOL (tptp.hAPP @t3471 @t2588))) % 6.34/6.55 (define @t5326 () (tptp.hBOOL (tptp.hAPP @t5323 (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t2588)))) % 6.34/6.55 (define @t5327 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2371 @t2371)) % 6.34/6.55 (define @t5328 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t1473)) % 6.34/6.55 (define @t5329 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t1235)) % 6.34/6.55 (define @t5330 () (tptp.hAPP @t2372 @t5329)) % 6.34/6.55 (define @t5331 () (tptp.hBOOL (tptp.hAPP @t5330 @t1473))) % 6.34/6.55 (define @t5332 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t1473) @t1235))) % 6.34/6.55 (define @t5333 () (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP @t982 @t4))))) % 6.34/6.55 (define @t5334 () (tptp.hAPP (tptp.hAPP @t3560 @t140) @t1473)) % 6.34/6.55 (define @t5335 () (tptp.hAPP (tptp.hAPP @t4144 @t1235) @t1473)) % 6.34/6.55 (define @t5336 () (tptp.c_Set_Oimage @t127 @t2371 @t1473)) % 6.34/6.55 (define @t5337 () (tptp.hAPP @t5336 @t1235)) % 6.34/6.55 (define @t5338 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5337)) % 6.34/6.55 (define @t5339 () (@list @t1235 @t1473 @t127 @t30)) % 6.34/6.55 (define @t5340 () (tptp.hAPP (tptp.hAPP @t3560 @t1235) (tptp.hAPP (tptp.hAPP @t3560 @t1473) @t3473))) % 6.34/6.55 (define @t5341 () (tptp.hAPP @t5336 @t2588)) % 6.34/6.55 (define @t5342 () (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2371 @t1235) @t2588)) % 6.34/6.55 (define @t5343 () (tptp.hAPP (tptp.hAPP @t4146 @t1235) @t1473)) % 6.34/6.55 (define @t5344 () (tptp.hAPP @t3874 (tptp.hAPP @t4344 (tptp.hAPP @t4909 @t4084)))) % 6.34/6.55 (define @t5345 () (tptp.hAPP @t2948 (tptp.c_HOL_OAll @t30))) % 6.34/6.55 (define @t5346 () (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t1235)) % 6.34/6.55 (define @t5347 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t2588)) % 6.34/6.55 (define @t5348 () (tptp.hBOOL (tptp.hAPP @t5323 @t5347))) % 6.34/6.55 (define @t5349 () (tptp.c_COMBI @t2371)) % 6.34/6.55 (define @t5350 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t3028)) % 6.34/6.55 (define @t5351 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2742 @t2371)) % 6.34/6.55 (define @t5352 () (tptp.c_COMBC @t2742 @t3949 @t2371)) % 6.34/6.55 (define @t5353 () (tptp.hAPP @t5351 @t1235)) % 6.34/6.55 (define @t5354 () (tptp.hAPP @t5353 (tptp.hAPP (tptp.hAPP @t5352 @t3911) @t1473))) % 6.34/6.55 (define @t5355 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2742 @t1235)) % 6.34/6.55 (define @t5356 () (tptp.hAPP (tptp.hAPP @t3911 @t5355) @t1473)) % 6.34/6.55 (define @t5357 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2371 @t2371)) % 6.34/6.55 (define @t5358 () (tptp.hAPP @t5357 @t1473)) % 6.34/6.55 (define @t5359 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t1473)) % 6.34/6.55 (define @t5360 () (tptp.hAPP (tptp.hAPP @t5218 @t5355) @t1473)) % 6.34/6.55 (define @t5361 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2742 @t2371) @t1235) (tptp.hAPP (tptp.hAPP @t5352 @t5218) @t1473))) % 6.34/6.55 (define @t5362 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t1235)) % 6.34/6.55 (define @t5363 () (tptp.hAPP @t2945 @t1235)) % 6.34/6.55 (define @t5364 () (tptp.hBOOL (tptp.hAPP @t4142 @t1235))) % 6.34/6.55 (define @t5365 () (tptp.hBOOL (tptp.hAPP @t3391 @t5362))) % 6.34/6.55 (define @t5366 () (tptp.hAPP @t3462 @t4)) % 6.34/6.55 (define @t5367 () (@list @t1235 @t2588 @t30)) % 6.34/6.55 (define @t5368 () (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP @t4824 @t64))))) % 6.34/6.55 (define @t5369 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5337)) % 6.34/6.55 (define @t5370 () (@var "B_X" $$unsorted)) % 6.34/6.55 (define @t5371 () (tptp.hAPP @t3469 @t5370)) % 6.34/6.55 (define @t5372 () (@list @t5370)) % 6.34/6.55 (define @t5373 () (@var "B_M" $$unsorted)) % 6.34/6.55 (define @t5374 () (tptp.hAPP (tptp.hAPP @t3560 @t378) @t3404)) % 6.34/6.55 (define @t5375 () (@var "B_c2" $$unsorted)) % 6.34/6.55 (define @t5376 () (@var "B_c1" $$unsorted)) % 6.34/6.55 (define @t5377 () (@var "B_c" $$unsorted)) % 6.34/6.55 (define @t5378 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t27)) % 6.34/6.55 (define @t5379 () (tptp.hBOOL (tptp.hAPP @t3363 @t5378))) % 6.34/6.55 (define @t5380 () (tptp.hAPP @t3065 (tptp.hAPP @t5114 @t4))) % 6.34/6.55 (define @t5381 () (tptp.hBOOL (tptp.hAPP @t3363 (tptp.c_Transitive__Closure_Ortrancl @t30 (tptp.hAPP (tptp.hAPP @t3359 @t27) @t21))))) % 6.34/6.55 (define @t5382 () (@list @t21 @t27 @t64 @t140 @t30)) % 6.34/6.55 (define @t5383 () (tptp.hBOOL (tptp.hAPP @t5313 @t5302))) % 6.34/6.55 (define @t5384 () (tptp.hAPP @t3065 (tptp.hAPP @t5116 @t696))) % 6.34/6.55 (define @t5385 () (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t1470))) % 6.34/6.55 (define @t5386 () (@list @t25 @t64 @t1235 @t30)) % 6.34/6.55 (define @t5387 () (tptp.hBOOL (tptp.hAPP @t5323 @t5370))) % 6.34/6.55 (define @t5388 () (tptp.hBOOL (tptp.hAPP @t5371 @t2588))) % 6.34/6.55 (define @t5389 () (@var "B_Q" $$unsorted)) % 6.34/6.55 (define @t5390 () (tptp.hBOOL (tptp.hAPP @t2789 @t5389))) % 6.34/6.55 (define @t5391 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t30 @t127 @t2 @t628 @t1 @t3404)) % 6.34/6.55 (define @t5392 () (@var "V_u1_2" $$unsorted)) % 6.34/6.55 (define @t5393 () (tptp.hAPP @t449 @t5392)) % 6.34/6.55 (define @t5394 () (@var "V_e2_2" $$unsorted)) % 6.34/6.55 (define @t5395 () (@var "V_e1_2" $$unsorted)) % 6.34/6.55 (define @t5396 () (tptp.hAPP @t2788 @t325)) % 6.34/6.55 (define @t5397 () (@var "V_xz_2" $$unsorted)) % 6.34/6.55 (define @t5398 () (tptp.hAPP @t325 @t327)) % 6.34/6.55 (define @t5399 () (tptp.hAPP @t23 @t327)) % 6.34/6.55 (define @t5400 () (= @t5399 @t433)) % 6.34/6.55 (define @t5401 () (or (= @t5399 @t2949) (and @t5400 (= @t5398 @t2949)))) % 6.34/6.55 (define @t5402 () (tptp.hAPP (tptp.c_Map_Omap__add @t127 @t30 @t325 @t23) @t327)) % 6.34/6.55 (define @t5403 () (= @t5402 @t2949)) % 6.34/6.55 (define @t5404 () (@list @t378 @t327 @t23 @t325 @t30 @t127)) % 6.34/6.55 (define @t5405 () (@var "V_m2_2" $$unsorted)) % 6.34/6.55 (define @t5406 () (@var "V_m1_2" $$unsorted)) % 6.34/6.55 (define @t5407 () (@var "V_xx_2" $$unsorted)) % 6.34/6.55 (define @t5408 () (tptp.hAPP @t431 @t5407)) % 6.34/6.55 (define @t5409 () (@var "V_m3_2" $$unsorted)) % 6.34/6.55 (define @t5410 () (tptp.c_Map_Omap__add @t30 @t127 @t5406 @t5405)) % 6.34/6.55 (define @t5411 () (@var "V_l2_2" $$unsorted)) % 6.34/6.55 (define @t5412 () (@var "V_l1_2" $$unsorted)) % 6.34/6.55 (define @t5413 () (tptp.hAPP (tptp.c_Map_Omap__add @t30 @t127 @t5412 @t5411) @t325)) % 6.34/6.55 (define @t5414 () (= @t5413 (tptp.hAPP @t5411 @t325))) % 6.34/6.55 (define @t5415 () (tptp.hBOOL (tptp.hAPP @t5396 (tptp.c_Map_Odom @t30 @t127 @t5411)))) % 6.34/6.55 (define @t5416 () (@list @t5412 @t5411 @t127 @t325 @t30)) % 6.34/6.55 (define @t5417 () (@var "V_m_H_2" $$unsorted)) % 6.34/6.55 (define @t5418 () (tptp.c_Map_Odom @t30 @t127 @t5417)) % 6.34/6.55 (define @t5419 () (@var "V_yx_2" $$unsorted)) % 6.34/6.55 (define @t5420 () (tptp.c_Map_Omap__of @t30 @t127 @t1539)) % 6.34/6.55 (define @t5421 () (@var "V_xys_2" $$unsorted)) % 6.34/6.55 (define @t5422 () (tptp.c_Map_Omap__of @t127 @t30 @t5421)) % 6.34/6.55 (define @t5423 () (@list @t5421 @t127 @t30)) % 6.34/6.55 (define @t5424 () (@var "V_ps_2" $$unsorted)) % 6.34/6.55 (define @t5425 () (tptp.tc_fun @t30 @t4351)) % 6.34/6.55 (define @t5426 () (tptp.tc_fun @t4351 @t5425)) % 6.34/6.55 (define @t5427 () (tptp.tc_fun @t5425 @t5425)) % 6.34/6.55 (define @t5428 () (tptp.tc_fun @t4351 @t5427)) % 6.34/6.55 (define @t5429 () (tptp.tc_fun @t127 @t5427)) % 6.34/6.55 (define @t5430 () (tptp.tc_fun @t127 @t4351)) % 6.34/6.55 (define @t5431 () (tptp.c_Map_Omap__of @t30 @t127 @t5424)) % 6.34/6.55 (define @t5432 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t819)) % 6.34/6.55 (define @t5433 () (tptp.hAPP @t713 @t5432)) % 6.34/6.55 (define @t5434 () (@list @t819 @t2)) % 6.34/6.55 (define @t5435 () (tptp.tc_List_Olist tptp.tc_Code__Evaluation_Oterm)) % 6.34/6.55 (define @t5436 () (tptp.tc_Option_Ooption @t5435)) % 6.34/6.55 (define @t5437 () (tptp.c_Smallcheck_Osmall_H @t2 @t819 @t178)) % 6.34/6.55 (define @t5438 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t819) @t178))) % 6.34/6.55 (define @t5439 () (tptp.c_Option_Ooption_ONone @t5435)) % 6.34/6.55 (define @t5440 () (and (=> @t5438 (= @t5437 @t5439)) (=> (not @t5438) (= @t5437 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5436 @t5435 (tptp.c_Smallcheck_Osmall_H @t2 @t819 @t4198) (tptp.c_Option_Ooption_OSome @t5435)) @t3818))))) % 6.34/6.55 (define @t5441 () (tptp.tc_fun tptp.tc_Int_Oint @t5436)) % 6.34/6.55 (define @t5442 () (tptp.c_Product__Type_OPair @t5441 @t2238)) % 6.34/6.55 (define @t5443 () (tptp.c_Wellfounded_Oaccp (tptp.tc_prod @t5441 @t2238) tptp.c_Smallcheck_Osmall_H__rel)) % 6.34/6.55 (define @t5444 () (tptp.tc_fun @t127 @t5436)) % 6.34/6.55 (define @t5445 () (tptp.hAPP (tptp.hAPP @t27 @t4202) @t1575)) % 6.34/6.55 (define @t5446 () (tptp.hAPP (tptp.hAPP @t626 @t1238) @t901)) % 6.34/6.55 (define @t5447 () (tptp.c_Option_Ooption_OSome @t465)) % 6.34/6.55 (define @t5448 () (tptp.hAPP @t5447 @t378)) % 6.34/6.55 (define @t5449 () (tptp.tc_fun @t5059 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5450 () (tptp.c_Orderings_Otop__class_Otop @t5449)) % 6.34/6.55 (define @t5451 () (tptp.c_List_Omap @t30 @t127)) % 6.34/6.55 (define @t5452 () (tptp.hAPP @t5451 @t2)) % 6.34/6.55 (define @t5453 () (tptp.tc_List_Olist @t127)) % 6.34/6.55 (define @t5454 () (tptp.c_Fun_Oinj__on @t5059 @t5453 @t5452 @t5450)) % 6.34/6.55 (define @t5455 () (tptp.hAPP @t431 @t1684)) % 6.34/6.55 (define @t5456 () (@var "B_k_H" $$unsorted)) % 6.34/6.55 (define @t5457 () (tptp.hAPP @t5406 @t5456)) % 6.34/6.55 (define @t5458 () (tptp.hAPP @t5405 @t327)) % 6.34/6.55 (define @t5459 () (= @t5458 (tptp.hAPP @t449 @t5456))) % 6.34/6.55 (define @t5460 () (@list @t5456)) % 6.34/6.55 (define @t5461 () (tptp.c_Map_Omap__comp @t127 @t30 @t465 @t5406 @t5405 @t327)) % 6.34/6.55 (define @t5462 () (@var "V_k_H_2" $$unsorted)) % 6.34/6.55 (define @t5463 () (tptp.c_Map_Omap__comp @t30 @t465 @t127 @t5406 @t5405 @t327)) % 6.34/6.55 (define @t5464 () (@var "V_xs_2" $$unsorted)) % 6.34/6.55 (define @t5465 () (tptp.c_List_Omap @t465 @t30)) % 6.34/6.55 (define @t5466 () (tptp.hAPP @t5465 @t4557)) % 6.34/6.55 (define @t5467 () (tptp.c_List_Omap @t465 @t127)) % 6.34/6.55 (define @t5468 () (tptp.hAPP @t5467 @t1)) % 6.34/6.55 (define @t5469 () (tptp.c_List_Omap @t127 @t30)) % 6.34/6.55 (define @t5470 () (tptp.hAPP @t5469 @t2)) % 6.34/6.55 (define @t5471 () (@var "V_list_2" $$unsorted)) % 6.34/6.55 (define @t5472 () (tptp.hAPP @t5467 @t2)) % 6.34/6.55 (define @t5473 () (tptp.tc_List_Olist @t465)) % 6.34/6.55 (define @t5474 () (@list @t1 @t2 @t30 @t127 @t465)) % 6.34/6.55 (define @t5475 () (@var "V_ys_2" $$unsorted)) % 6.34/6.55 (define @t5476 () (= @t5464 @t5475)) % 6.34/6.55 (define @t5477 () (tptp.hAPP @t5470 @t5475)) % 6.34/6.55 (define @t5478 () (tptp.hAPP @t5470 @t5464)) % 6.34/6.55 (define @t5479 () (= @t5478 @t5477)) % 6.34/6.55 (define @t5480 () (@list @t5475 @t5464 @t2 @t30 @t127)) % 6.34/6.55 (define @t5481 () (tptp.hAPP @t5452 @t5475)) % 6.34/6.55 (define @t5482 () (tptp.hAPP @t5452 @t5464)) % 6.34/6.55 (define @t5483 () (= (= @t5482 @t5481) @t5476)) % 6.34/6.55 (define @t5484 () (@list @t5475 @t5464 @t2 @t127 @t30)) % 6.34/6.55 (define @t5485 () (tptp.c_List_Omap @t30 @t30)) % 6.34/6.55 (define @t5486 () (tptp.hAPP @t5485 @t2221)) % 6.34/6.55 (define @t5487 () (@list @t5464 @t30)) % 6.34/6.55 (define @t5488 () (tptp.c_Fun_Oid @t5059)) % 6.34/6.55 (define @t5489 () (tptp.hAPP @t5472 @t5464)) % 6.34/6.55 (define @t5490 () (tptp.hAPP (tptp.c_COMBK @t4351 @t465) @t453)) % 6.34/6.55 (define @t5491 () (@list @t378 @t325 @t465 @t30 @t127)) % 6.34/6.55 (define @t5492 () (tptp.c_Option_Omap @t465 @t127)) % 6.34/6.55 (define @t5493 () (tptp.hAPP @t5492 @t2)) % 6.34/6.55 (define @t5494 () (tptp.tc_Option_Ooption @t465)) % 6.34/6.55 (define @t5495 () (tptp.c_Fun_Ocomp @t5494 @t4351 @t30 @t5493)) % 6.34/6.55 (define @t5496 () (tptp.tc_fun @t465 @t2450)) % 6.34/6.55 (define @t5497 () (tptp.hAPP (tptp.c_List_Omap @t4838 @t2450) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t465 @t2450) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4666 @t5496) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 (tptp.tc_fun @t4666 @t5496) @t30) (tptp.c_COMBB @t127 @t2450 @t465)) @t2411)) @t2)))) % 6.34/6.55 (define @t5498 () (tptp.hAPP (tptp.c_COMBS @t30 @t127 @t2450) @t2411)) % 6.34/6.55 (define @t5499 () (tptp.c_List_Omap @t30 @t2450)) % 6.34/6.55 (define @t5500 () (tptp.c_List_Oset @t30)) % 6.34/6.55 (define @t5501 () (tptp.hAPP @t5500 @t5464)) % 6.34/6.55 (define @t5502 () (tptp.c_List_Oset @t127)) % 6.34/6.55 (define @t5503 () (tptp.hAPP @t5502 @t5464)) % 6.34/6.55 (define @t5504 () (tptp.hAPP @t3261 @t5503)) % 6.34/6.55 (define @t5505 () (@list @t5464 @t2 @t127 @t30)) % 6.34/6.55 (define @t5506 () (tptp.hAPP (tptp.hAPP @t5469 @t1) @t5464)) % 6.34/6.55 (define @t5507 () (tptp.c_Fun_Oid @t2717)) % 6.34/6.55 (define @t5508 () (tptp.c_Option_Omap @t30 @t30)) % 6.34/6.55 (define @t5509 () (tptp.c_Finite__Set_Ofinite @t5059)) % 6.34/6.55 (define @t5510 () (tptp.c_Option_Omap @t30 @t127)) % 6.34/6.55 (define @t5511 () (@var "V_option_2" $$unsorted)) % 6.34/6.55 (define @t5512 () (tptp.hAPP (tptp.c_Option_Omap @t465 @t30) @t4557)) % 6.34/6.55 (define @t5513 () (tptp.hAPP @t5492 @t1)) % 6.34/6.55 (define @t5514 () (tptp.hAPP (tptp.c_Option_Omap @t127 @t30) @t2)) % 6.34/6.55 (define @t5515 () (@var "V_opt_2" $$unsorted)) % 6.34/6.55 (define @t5516 () (tptp.hAPP (tptp.c_Option_Omap @t2456 @t465) @t2)) % 6.34/6.55 (define @t5517 () (tptp.tc_Option_Ooption @t2456)) % 6.34/6.55 (define @t5518 () (@list @t378 @t2 @t30 @t127)) % 6.34/6.55 (define @t5519 () (tptp.hAPP @t5500 @t5475)) % 6.34/6.55 (define @t5520 () (tptp.hAPP (tptp.hAPP @t3148 @t5501) @t5519)) % 6.34/6.55 (define @t5521 () (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t5520)) % 6.34/6.55 (define @t5522 () (tptp.hAPP @t5502 @t5475)) % 6.34/6.55 (define @t5523 () (tptp.hBOOL (tptp.hAPP @t3034 @t5501))) % 6.34/6.55 (define @t5524 () (tptp.c_List_Oset @t2450)) % 6.34/6.55 (define @t5525 () (tptp.hAPP @t5524 @t5475)) % 6.34/6.55 (define @t5526 () (tptp.hAPP @t5524 @t5464)) % 6.34/6.55 (define @t5527 () (tptp.c_Map_Omap__of @t30 @t127 @t5475)) % 6.34/6.55 (define @t5528 () (tptp.c_Map_Omap__of @t30 @t127 @t5464)) % 6.34/6.55 (define @t5529 () (= @t5528 @t5527)) % 6.34/6.55 (define @t5530 () (@list @t5475 @t5464 @t127 @t30)) % 6.34/6.55 (define @t5531 () (tptp.c_List_Oset @t2687)) % 6.34/6.55 (define @t5532 () (tptp.hAPP (tptp.c_Map_Omap__of @t127 @t30 @t5464) @t327)) % 6.34/6.55 (define @t5533 () (tptp.hAPP @t5531 @t5421)) % 6.34/6.55 (define @t5534 () (tptp.hAPP @t5422 @t378)) % 6.34/6.55 (define @t5535 () (tptp.hAPP @t5524 @t5421)) % 6.34/6.55 (define @t5536 () (tptp.c_Map_Omap__of @t30 @t127 @t5421)) % 6.34/6.55 (define @t5537 () (tptp.tc_prod tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 6.34/6.55 (define @t5538 () (@var "V_ks_2" $$unsorted)) % 6.34/6.55 (define @t5539 () (@var "V_al_2" $$unsorted)) % 6.34/6.55 (define @t5540 () (tptp.hAPP (tptp.c_List_Omap @t2450 @t30) @t2567)) % 6.34/6.55 (define @t5541 () (tptp.c_List_Odistinct @t30)) % 6.34/6.55 (define @t5542 () (tptp.hBOOL (tptp.hAPP @t5541 (tptp.hAPP @t5540 @t5464)))) % 6.34/6.55 (define @t5543 () (@list @t5464 @t127 @t30)) % 6.34/6.55 (define @t5544 () (tptp.c_List_Odistinct @t127)) % 6.34/6.55 (define @t5545 () (tptp.hBOOL (tptp.hAPP @t5544 @t5464))) % 6.34/6.55 (define @t5546 () (tptp.hAPP @t5536 @t378)) % 6.34/6.55 (define @t5547 () (= @t5546 @t4356)) % 6.34/6.55 (define @t5548 () (tptp.hBOOL (tptp.hAPP @t3048 @t5535))) % 6.34/6.55 (define @t5549 () (tptp.hBOOL (tptp.hAPP @t5541 (tptp.hAPP @t5540 @t5421)))) % 6.34/6.55 (define @t5550 () (@list @t696 @t378 @t5421 @t127 @t30)) % 6.34/6.55 (define @t5551 () (tptp.hAPP (tptp.hAPP @t1454 @t1545) @t901)) % 6.34/6.55 (define @t5552 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 6.34/6.55 (define @t5553 () (tptp.c_List_Oupto @t178 @t1545)) % 6.34/6.55 (define @t5554 () (tptp.hAPP @t5552 @t5553)) % 6.34/6.55 (define @t5555 () (tptp.c_List_Oupto @t544 @t546)) % 6.34/6.55 (define @t5556 () (tptp.c_List_Oupto @t4198 @t1545)) % 6.34/6.55 (define @t5557 () (tptp.hAPP @t2583 @t5501)) % 6.34/6.55 (define @t5558 () (tptp.c_List_Oremove1 @t30 @t378 @t5464)) % 6.34/6.55 (define @t5559 () (tptp.hAPP @t5500 @t5558)) % 6.34/6.55 (define @t5560 () (tptp.hBOOL (tptp.hAPP @t5541 @t5464))) % 6.34/6.55 (define @t5561 () (@list @t378 @t5464 @t30)) % 6.34/6.55 (define @t5562 () (tptp.hBOOL (tptp.hAPP @t3002 @t5501))) % 6.34/6.55 (define @t5563 () (tptp.hBOOL (tptp.hAPP @t2986 @t5501))) % 6.34/6.55 (define @t5564 () (not @t5563)) % 6.34/6.55 (define @t5565 () (@list @t5464 @t378 @t30)) % 6.34/6.55 (define @t5566 () (@var "V_zs" $$unsorted)) % 6.34/6.55 (define @t5567 () (@list @t5566 @t135 @t136 @t35)) % 6.34/6.55 (define @t5568 () (@var "V_xs" $$unsorted)) % 6.34/6.55 (define @t5569 () (tptp.c_List_Oremove1 @t35 @t136 @t5568)) % 6.34/6.55 (define @t5570 () (tptp.c_List_Odistinct @t35)) % 6.34/6.55 (define @t5571 () (tptp.hBOOL (tptp.hAPP @t5570 @t5568))) % 6.34/6.55 (define @t5572 () (@list @t136 @t5568 @t35)) % 6.34/6.55 (define @t5573 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t30 @t1235)) % 6.34/6.55 (define @t5574 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t30 @t2990)) % 6.34/6.55 (define @t5575 () (tptp.c_List_Ozip @t30 @t127)) % 6.34/6.55 (define @t5576 () (tptp.hAPP @t5575 @t5464)) % 6.34/6.55 (define @t5577 () (tptp.hAPP (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP @t5576 @t5482)) @t378)) % 6.34/6.55 (define @t5578 () (@var "V_ys" $$unsorted)) % 6.34/6.55 (define @t5579 () (tptp.tc_prod @t30 @t35)) % 6.34/6.55 (define @t5580 () (tptp.c_List_Ozip @t35 @t30)) % 6.34/6.55 (define @t5581 () (tptp.hAPP @t5580 @t5568)) % 6.34/6.55 (define @t5582 () (tptp.hAPP @t5581 @t5578)) % 6.34/6.55 (define @t5583 () (tptp.tc_prod @t35 @t30)) % 6.34/6.55 (define @t5584 () (@list @t5578 @t30 @t5568 @t35)) % 6.34/6.55 (define @t5585 () (tptp.hAPP (tptp.c_List_Ozip @t30 @t30) @t5464)) % 6.34/6.55 (define @t5586 () (tptp.hAPP @t5585 @t5464)) % 6.34/6.55 (define @t5587 () (@var "V_zs_2" $$unsorted)) % 6.34/6.55 (define @t5588 () (tptp.hAPP (tptp.c_List_Omap @t2450 @t127) @t2566)) % 6.34/6.55 (define @t5589 () (tptp.hAPP @t5588 @t5587)) % 6.34/6.55 (define @t5590 () (tptp.hAPP @t5540 @t5587)) % 6.34/6.55 (define @t5591 () (tptp.tc_fun @t2456 @t2455)) % 6.34/6.55 (define @t5592 () (tptp.tc_fun @t2456 @t465)) % 6.34/6.55 (define @t5593 () (tptp.c_List_Ozip @t127 @t465)) % 6.34/6.55 (define @t5594 () (tptp.hAPP (tptp.c_List_Omap @t2455 @t30) @t2)) % 6.34/6.55 (define @t5595 () (tptp.hAPP (tptp.c_List_Omap @t2456 @t127) @t1)) % 6.34/6.55 (define @t5596 () (tptp.hBOOL (tptp.hAPP @t4340 @t5522))) % 6.34/6.55 (define @t5597 () (tptp.hAPP @t5576 @t5475)) % 6.34/6.55 (define @t5598 () (tptp.hAPP @t5524 @t5597)) % 6.34/6.55 (define @t5599 () (tptp.hBOOL (tptp.hAPP @t3048 @t5598))) % 6.34/6.55 (define @t5600 () (@list @t5475 @t5464 @t696 @t378 @t127 @t30)) % 6.34/6.55 (define @t5601 () (tptp.c_List_Oset @t3064)) % 6.34/6.55 (define @t5602 () (tptp.hAPP @t5575 (tptp.hAPP (tptp.hAPP @t5465 @t2) @t5464))) % 6.34/6.55 (define @t5603 () (tptp.tc_fun @t2456 @t2450)) % 6.34/6.55 (define @t5604 () (tptp.c_List_Olinorder__class_Oinsort__key @t30 @t30 @t2221)) % 6.34/6.55 (define @t5605 () (tptp.hAPP @t5604 @t378)) % 6.34/6.55 (define @t5606 () (tptp.hAPP (tptp.c_List_Ozip @t127 @t30) @t5464)) % 6.34/6.55 (define @t5607 () (tptp.c_Map_Omap__of @t127 @t30 (tptp.hAPP @t5606 @t5587))) % 6.34/6.55 (define @t5608 () (tptp.c_Map_Omap__of @t127 @t30 (tptp.hAPP @t5606 @t5475))) % 6.34/6.55 (define @t5609 () (= @t5608 @t5607)) % 6.34/6.55 (define @t5610 () (tptp.hAPP @t431 @t628)) % 6.34/6.55 (define @t5611 () (tptp.c_Nat_Osize__class_Osize @t5453)) % 6.34/6.55 (define @t5612 () (tptp.hAPP @t5611 @t5464)) % 6.34/6.55 (define @t5613 () (tptp.c_Nat_Osize__class_Osize @t5059)) % 6.34/6.55 (define @t5614 () (= (tptp.hAPP @t5613 @t5587) @t5612)) % 6.34/6.55 (define @t5615 () (tptp.hAPP @t5613 @t5475)) % 6.34/6.55 (define @t5616 () (= @t5615 @t5612)) % 6.34/6.55 (define @t5617 () (tptp.hAPP @t5613 @t5578)) % 6.34/6.55 (define @t5618 () (tptp.tc_List_Olist @t35)) % 6.34/6.55 (define @t5619 () (tptp.c_Nat_Osize__class_Osize @t5618)) % 6.34/6.55 (define @t5620 () (tptp.hAPP @t5619 @t5568)) % 6.34/6.55 (define @t5621 () (tptp.hAPP @t2510 @t5620)) % 6.34/6.55 (define @t5622 () (tptp.hAPP @t2818 @t5501)) % 6.34/6.55 (define @t5623 () (tptp.c_List_Olinorder__class_Oinsort__key @t30 @t127 @t2)) % 6.34/6.55 (define @t5624 () (tptp.hAPP @t5623 @t378)) % 6.34/6.55 (define @t5625 () (tptp.hAPP @t5624 @t5464)) % 6.34/6.55 (define @t5626 () (tptp.class_Orderings_Olinorder @t127)) % 6.34/6.55 (define @t5627 () (@list @t5464 @t378 @t2 @t30 @t127)) % 6.34/6.55 (define @t5628 () (tptp.hAPP @t5605 @t5464)) % 6.34/6.55 (define @t5629 () (tptp.hAPP @t5604 @t696)) % 6.34/6.55 (define @t5630 () (tptp.c_List_Olinorder__class_Oinsort__key @t127 @t30 @t2)) % 6.34/6.55 (define @t5631 () (tptp.hAPP @t5630 @t696)) % 6.34/6.55 (define @t5632 () (tptp.hAPP @t5630 @t378)) % 6.34/6.55 (define @t5633 () (tptp.hAPP @t5632 @t5464)) % 6.34/6.55 (define @t5634 () (= @t5568 @t5578)) % 6.34/6.55 (define @t5635 () (tptp.hAPP @t5619 @t5578)) % 6.34/6.55 (define @t5636 () (@list @t5578 @t5568 @t35)) % 6.34/6.55 (define @t5637 () (tptp.hAPP @t5613 @t5464)) % 6.34/6.55 (define @t5638 () (tptp.hAPP tptp.c_Nat_OSuc @t5637)) % 6.34/6.55 (define @t5639 () (tptp.c_Product__Type_OPair @t5059 @t5059)) % 6.34/6.55 (define @t5640 () (tptp.hAPP @t5639 @t5464)) % 6.34/6.55 (define @t5641 () (tptp.c_member @t5062)) % 6.34/6.55 (define @t5642 () (tptp.hAPP @t5641 (tptp.hAPP @t5640 @t5475))) % 6.34/6.55 (define @t5643 () (tptp.hAPP @t3695 @t5501)) % 6.34/6.55 (define @t5644 () (= @t5643 @t5637)) % 6.34/6.55 (define @t5645 () (= @t5475 @t5587)) % 6.34/6.55 (define @t5646 () (tptp.hAPP @t5611 @t5475)) % 6.34/6.55 (define @t5647 () (= @t5637 @t5646)) % 6.34/6.55 (define @t5648 () (@list @t5475 @t127 @t5464 @t30)) % 6.34/6.55 (define @t5649 () (and @t5564 @t5560)) % 6.34/6.55 (define @t5650 () (tptp.hBOOL (tptp.hAPP @t475 @t5637))) % 6.34/6.55 (define @t5651 () (tptp.tc_fun @t5063 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5652 () (tptp.tc_fun @t5059 @t5651)) % 6.34/6.55 (define @t5653 () (tptp.tc_fun @t5059 @t5062)) % 6.34/6.55 (define @t5654 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2246 @t5059)) % 6.34/6.55 (define @t5655 () (tptp.hAPP (tptp.hAPP @t5654 tptp.c_fequal) @t5613)) % 6.34/6.55 (define @t5656 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5059)) % 6.34/6.55 (define @t5657 () (tptp.tc_fun @t5059 tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5658 () (tptp.hAPP (tptp.c_COMBB @t2246 (tptp.tc_fun @t5657 @t5449) @t5059) @t5656)) % 6.34/6.55 (define @t5659 () (tptp.c_COMBC @t5059 @t5657 @t5449)) % 6.34/6.55 (define @t5660 () (tptp.hAPP (tptp.hAPP @t5659 (tptp.hAPP @t5658 @t5655)) @t5613)) % 6.34/6.55 (define @t5661 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 @t5059)) % 6.34/6.55 (define @t5662 () (tptp.hAPP @t5661 tptp.c_fconj)) % 6.34/6.55 (define @t5663 () (tptp.tc_fun @t5059 @t2251)) % 6.34/6.55 (define @t5664 () (tptp.c_COMBB @t5449 @t5663 @t5059)) % 6.34/6.55 (define @t5665 () (tptp.c_COMBS @t5059 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5666 () (tptp.tc_fun @t5449 @t5449)) % 6.34/6.55 (define @t5667 () (tptp.hAPP (tptp.c_COMBB @t5663 @t5666 @t5059) @t5665)) % 6.34/6.55 (define @t5668 () (tptp.c_COMBS @t5059 @t5449 @t5449)) % 6.34/6.55 (define @t5669 () (tptp.c_Product__Type_Oprod_Oprod__case @t5059 @t5059 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5670 () (tptp.c_Set_OCollect @t5062)) % 6.34/6.55 (define @t5671 () (tptp.tc_prod tptp.tc_Nat_Onat @t5059)) % 6.34/6.55 (define @t5672 () (tptp.c_COMBC @t5059 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5673 () (tptp.hAPP @t5672 @t5655)) % 6.34/6.55 (define @t5674 () (tptp.c_COMBB @t2371 @t2944 @t5059)) % 6.34/6.55 (define @t5675 () (tptp.c_COMBC @t5059 @t2371 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t5676 () (tptp.hAPP (tptp.hAPP @t5675 (tptp.hAPP (tptp.hAPP @t5674 @t2372) @t5500)) @t1235)) % 6.34/6.55 (define @t5677 () (tptp.hAPP @t5665 (tptp.hAPP @t5662 @t5676))) % 6.34/6.55 (define @t5678 () (tptp.c_Set_OCollect @t5059)) % 6.34/6.55 (define @t5679 () (@list @t23 @t1235 @t30)) % 6.34/6.55 (define @t5680 () (tptp.hBOOL (tptp.hAPP @t3930 (tptp.hAPP @t5601 (tptp.hAPP @t5585 @t5475))))) % 6.34/6.55 (define @t5681 () (= @t5637 @t5615)) % 6.34/6.55 (define @t5682 () (@list @t30 @t5475 @t5464)) % 6.34/6.55 (define @t5683 () (tptp.c_Map_Omap__of @t30 @t127 @t5597)) % 6.34/6.55 (define @t5684 () (tptp.hAPP @t5683 @t378)) % 6.34/6.55 (define @t5685 () (@list @t378 @t5475 @t127 @t5464 @t30)) % 6.34/6.55 (define @t5686 () (tptp.hAPP @t5613 @t5558)) % 6.34/6.55 (define @t5687 () (tptp.c_Nitpick_Ocard_H @t30 @t1235)) % 6.34/6.55 (define @t5688 () (tptp.c_Hilbert__Choice_OEps @t5059 (tptp.hAPP (tptp.hAPP @t5665 (tptp.hAPP @t5662 (tptp.hAPP (tptp.hAPP @t5675 (tptp.hAPP (tptp.hAPP @t5674 tptp.c_fequal) @t5500)) @t1235))) @t5541))) % 6.34/6.55 (define @t5689 () (tptp.c_List_Olistrel @t30 @t2033)) % 6.34/6.55 (define @t5690 () (tptp.hBOOL (tptp.hAPP @t5642 @t5689))) % 6.34/6.55 (define @t5691 () (@list @t2033 @t5475 @t5464 @t30)) % 6.34/6.55 (define @t5692 () (tptp.c_List_Olistrel @t30 @t5175)) % 6.34/6.55 (define @t5693 () (@list @t2033 @t5464 @t30)) % 6.34/6.55 (define @t5694 () (tptp.hAPP @t5639 @t5475)) % 6.34/6.55 (define @t5695 () (tptp.hBOOL (tptp.hAPP @t5642 @t5692))) % 6.34/6.55 (define @t5696 () (tptp.c_Orderings_Oord__class_Oless__eq @t5063)) % 6.34/6.55 (define @t5697 () (tptp.hAPP @t5696 @t5689)) % 6.34/6.55 (define @t5698 () (tptp.hAPP @t5639 @t378)) % 6.34/6.55 (define @t5699 () (tptp.hAPP @t5673 @t109)) % 6.34/6.55 (define @t5700 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5059)) % 6.34/6.55 (define @t5701 () (tptp.c_List_Olist_OCons @t30)) % 6.34/6.55 (define @t5702 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t5059 @t5059) @t5701)) % 6.34/6.55 (define @t5703 () (tptp.tc_prod @t30 @t5059)) % 6.34/6.55 (define @t5704 () (tptp.c_List_Olist_OCons @t35)) % 6.34/6.55 (define @t5705 () (tptp.hAPP @t5704 @t136)) % 6.34/6.55 (define @t5706 () (tptp.hAPP @t5705 @t5578)) % 6.34/6.55 (define @t5707 () (tptp.hAPP @t934 @t5620)) % 6.34/6.55 (define @t5708 () (tptp.hAPP @t5701 @t378)) % 6.34/6.55 (define @t5709 () (tptp.hAPP @t5708 @t5464)) % 6.34/6.55 (define @t5710 () (tptp.hAPP @t5500 @t5709)) % 6.34/6.55 (define @t5711 () (tptp.hAPP @t5705 @t5568)) % 6.34/6.55 (define @t5712 () (tptp.hAPP @t2372 @t5501)) % 6.34/6.55 (define @t5713 () (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5464 @t140)) % 6.34/6.55 (define @t5714 () (tptp.c_List_Olist_OCons @t127)) % 6.34/6.55 (define @t5715 () (tptp.hAPP @t5714 @t378)) % 6.34/6.55 (define @t5716 () (tptp.hAPP @t5715 @t5464)) % 6.34/6.55 (define @t5717 () (@list @t136 @t35 @t5568)) % 6.34/6.55 (define @t5718 () (@list @t5568 @t136 @t35)) % 6.34/6.55 (define @t5719 () (@var "V_list_H_2" $$unsorted)) % 6.34/6.55 (define @t5720 () (tptp.hAPP @t5701 @t140)) % 6.34/6.55 (define @t5721 () (tptp.hAPP @t5720 @t5471)) % 6.34/6.55 (define @t5722 () (tptp.hAPP @t5701 @t83)) % 6.34/6.55 (define @t5723 () (tptp.hAPP @t5701 @t696)) % 6.34/6.55 (define @t5724 () (tptp.hAPP @t5723 @t5475)) % 6.34/6.55 (define @t5725 () (tptp.hAPP @t5704 @t135)) % 6.34/6.55 (define @t5726 () (tptp.hAPP @t5725 @t5568)) % 6.34/6.55 (define @t5727 () (tptp.c_List_Oremove1 @t35 @t136 @t5726)) % 6.34/6.55 (define @t5728 () (tptp.hAPP @t5714 @t696)) % 6.34/6.55 (define @t5729 () (tptp.hAPP @t5728 @t5475)) % 6.34/6.55 (define @t5730 () (tptp.hAPP @t5632 @t5729)) % 6.34/6.55 (define @t5731 () (@var "V_ps" $$unsorted)) % 6.34/6.55 (define @t5732 () (tptp.c_List_Olist_OCons @t2450)) % 6.34/6.55 (define @t5733 () (tptp.hAPP (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP (tptp.hAPP @t5732 (tptp.hAPP (tptp.hAPP @t2411 @t558) @t990)) @t5731)) @t322)) % 6.34/6.55 (define @t5734 () (= @t558 @t322)) % 6.34/6.55 (define @t5735 () (@var "V_list" $$unsorted)) % 6.34/6.55 (define @t5736 () (tptp.hAPP @t5704 @t278)) % 6.34/6.55 (define @t5737 () (tptp.hAPP @t5639 @t5709)) % 6.34/6.55 (define @t5738 () (tptp.hAPP @t5641 (tptp.hAPP @t5737 @t5724))) % 6.34/6.55 (define @t5739 () (@list @t5475 @t5464 @t2033 @t696 @t378 @t30)) % 6.34/6.55 (define @t5740 () (@list @t2033 @t5475 @t696 @t5464 @t378 @t30)) % 6.34/6.55 (define @t5741 () (tptp.c_Orderings_Obot__class_Obot @t5449)) % 6.34/6.55 (define @t5742 () (tptp.c_Set_Oinsert @t5059)) % 6.34/6.55 (define @t5743 () (tptp.c_Relation_OImage @t5059 @t5059 @t5689)) % 6.34/6.55 (define @t5744 () (tptp.c_member @t5059)) % 6.34/6.55 (define @t5745 () (tptp.tc_fun @t5059 @t5059)) % 6.34/6.55 (define @t5746 () (tptp.tc_fun @t5745 @t5449)) % 6.34/6.55 (define @t5747 () (tptp.tc_fun @t30 @t5449)) % 6.34/6.55 (define @t5748 () (tptp.tc_fun @t30 @t5745)) % 6.34/6.55 (define @t5749 () (tptp.tc_fun @t30 @t5663)) % 6.34/6.55 (define @t5750 () (tptp.tc_fun @t30 @t5666)) % 6.34/6.55 (define @t5751 () (@var "B_ys" $$unsorted)) % 6.34/6.55 (define @t5752 () (tptp.hAPP @t5701 @t412)) % 6.34/6.55 (define @t5753 () (@var "B_xs" $$unsorted)) % 6.34/6.55 (define @t5754 () (tptp.hAPP @t5701 @t4)) % 6.34/6.55 (define @t5755 () (tptp.hAPP @t4863 @t5637)) % 6.34/6.55 (define @t5756 () (tptp.hAPP @t2953 (tptp.hAPP @t2951 @t5755))) % 6.34/6.55 (define @t5757 () (tptp.hAPP @t5756 (tptp.hAPP @t4865 @t3971))) % 6.34/6.55 (define @t5758 () (tptp.c_List_Osublist @t30 @t5464 @t3971)) % 6.34/6.55 (define @t5759 () (@list @t3971 @t5464 @t30)) % 6.34/6.55 (define @t5760 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t35) @t136)) % 6.34/6.55 (define @t5761 () (tptp.hAPP (tptp.c_Random_Opick @t35 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t35)) @t136) @t5568)) @t544)) % 6.34/6.55 (define @t5762 () (tptp.hBOOL (tptp.hAPP @t2168 @t5760))) % 6.34/6.55 (define @t5763 () (tptp.hAPP @t5500 @t5758)) % 6.34/6.55 (define @t5764 () (tptp.hBOOL (tptp.hAPP @t2986 @t5763))) % 6.34/6.55 (define @t5765 () (@list @t3971 @t5464 @t378 @t30)) % 6.34/6.55 (define @t5766 () (tptp.c_Random_Oselect__weight @t30 @t5464)) % 6.34/6.55 (define @t5767 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t30)) % 6.34/6.55 (define @t5768 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t30)) % 6.34/6.55 (define @t5769 () (tptp.hAPP @t5500 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5768 @t30) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t30)) @t5464))) % 6.34/6.55 (define @t5770 () (tptp.c_Random_Opick @t30 @t5464)) % 6.34/6.55 (define @t5771 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5768 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t30)) @t5464))) % 6.34/6.55 (define @t5772 () (@list @t5464 @t30 @t178)) % 6.34/6.55 (define @t5773 () (tptp.c_List_Omonoid__add__class_Olistsum @t35)) % 6.34/6.55 (define @t5774 () (tptp.hAPP @t5773 @t5568)) % 6.34/6.55 (define @t5775 () (tptp.c_List_Omonoid__add__class_Olistsum @t30)) % 6.34/6.55 (define @t5776 () (tptp.hAPP @t5775 @t5506)) % 6.34/6.55 (define @t5777 () (tptp.hAPP @t5775 @t5478)) % 6.34/6.55 (define @t5778 () (@list @t5464 @t1 @t2 @t127 @t30)) % 6.34/6.55 (define @t5779 () (tptp.class_Groups_Omonoid__add @t30)) % 6.34/6.55 (define @t5780 () (tptp.hAPP @t5775 @t5464)) % 6.34/6.55 (define @t5781 () (tptp.tc_prod @t30 @t2618)) % 6.34/6.55 (define @t5782 () (tptp.hAPP (tptp.c_COMBB @t30 (tptp.tc_fun @t2618 @t5781) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t30 @t2618))) % 6.34/6.55 (define @t5783 () (tptp.c_Product__Type_Oscomp @t2618 tptp.tc_Code__Numeral_Ocode__numeral @t2618 @t5781)) % 6.34/6.55 (define @t5784 () (tptp.c_List_Omonoid__add__class_Olistsum @t127)) % 6.34/6.55 (define @t5785 () (tptp.hAPP @t5784 @t5482)) % 6.34/6.55 (define @t5786 () (tptp.c_List_Oupto @t327 @t1539)) % 6.34/6.55 (define @t5787 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t30) @t2)) % 6.34/6.55 (define @t5788 () (tptp.c_Product__Type_Ofst @t30 @t2618)) % 6.34/6.55 (define @t5789 () (@list @t61 @t5464 @t30)) % 6.34/6.55 (define @t5790 () (tptp.c_Nitpick_Osetsum_H @t30 @t127 @t2 @t1235)) % 6.34/6.55 (define @t5791 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t127 @t30 @t2 @t378 @t5464)) % 6.34/6.55 (define @t5792 () (tptp.hBOOL (tptp.hAPP @t4654 @t5504))) % 6.34/6.55 (define @t5793 () (@list @t5464 @t127 @t378 @t2 @t30)) % 6.34/6.55 (define @t5794 () (@var "V_ns_2" $$unsorted)) % 6.34/6.55 (define @t5795 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5796 () (tptp.hAPP @t5795 @t5794)) % 6.34/6.55 (define @t5797 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3456 @t5796)) (= @t4 @t214)))) % 6.34/6.55 (define @t5798 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5799 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t30 @t30 @t2221 @t378 @t5464)) % 6.34/6.55 (define @t5800 () (tptp.c_List_Olexord @t30 @t2033)) % 6.34/6.55 (define @t5801 () (tptp.hAPP @t5641 (tptp.hAPP @t5698 @t696))) % 6.34/6.55 (define @t5802 () (tptp.hBOOL (tptp.hAPP @t5801 @t5800))) % 6.34/6.55 (define @t5803 () (tptp.hAPP (tptp.hAPP @t5701 @t64) @t696)) % 6.34/6.55 (define @t5804 () (tptp.hAPP @t5720 @t378)) % 6.34/6.55 (define @t5805 () (tptp.c_List_Onth @t127)) % 6.34/6.55 (define @t5806 () (tptp.hAPP @t5805 @t5475)) % 6.34/6.55 (define @t5807 () (tptp.c_List_Onth @t30)) % 6.34/6.55 (define @t5808 () (tptp.hAPP @t5807 @t5464)) % 6.34/6.55 (define @t5809 () (tptp.tc_fun tptp.tc_Nat_Onat @t2450)) % 6.34/6.55 (define @t5810 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5811 () (tptp.c_List_Onth @t35)) % 6.34/6.55 (define @t5812 () (tptp.hAPP @t5811 @t5568)) % 6.34/6.55 (define @t5813 () (tptp.hAPP @t5812 @t544)) % 6.34/6.55 (define @t5814 () (tptp.hBOOL (tptp.hAPP @t549 @t5620))) % 6.34/6.55 (define @t5815 () (tptp.hAPP @t5808 @t23)) % 6.34/6.55 (define @t5816 () (tptp.hBOOL (tptp.hAPP @t494 @t5637))) % 6.34/6.55 (define @t5817 () (@var "V_ns" $$unsorted)) % 6.34/6.55 (define @t5818 () (tptp.hAPP @t5798 @t5817)) % 6.34/6.55 (define @t5819 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5820 () (tptp.hAPP (tptp.hAPP @t5819 @t5817) @t322)) % 6.34/6.55 (define @t5821 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5822 () (tptp.c_Nat_Osize__class_Osize @t5821)) % 6.34/6.55 (define @t5823 () (tptp.hBOOL (tptp.hAPP @t559 (tptp.hAPP @t5822 @t5817)))) % 6.34/6.55 (define @t5824 () (tptp.hAPP @t5812 @t10)) % 6.34/6.55 (define @t5825 () (tptp.hAPP @t5811 @t5711)) % 6.34/6.55 (define @t5826 () (tptp.hAPP @t5808 @t1238)) % 6.34/6.55 (define @t5827 () (tptp.hBOOL (tptp.hAPP @t1617 @t5637))) % 6.34/6.55 (define @t5828 () (tptp.hBOOL (tptp.hAPP @t2789 @t5501))) % 6.34/6.55 (define @t5829 () (forall @t8 (=> @t5828 @t1059))) % 6.34/6.55 (define @t5830 () (@list @t27 @t5464 @t30)) % 6.34/6.55 (define @t5831 () (tptp.hAPP @t5807 @t5475)) % 6.34/6.55 (define @t5832 () (tptp.hAPP @t5808 @t590)) % 6.34/6.55 (define @t5833 () (tptp.hBOOL (tptp.hAPP @t591 @t5637))) % 6.34/6.55 (define @t5834 () (tptp.hAPP @t5808 @t178)) % 6.34/6.55 (define @t5835 () (tptp.hBOOL (tptp.hAPP @t1550 @t5637))) % 6.34/6.55 (define @t5836 () (tptp.hAPP @t5825 @t10)) % 6.34/6.55 (define @t5837 () (@list @t5568 @t136 @t35 @t10)) % 6.34/6.55 (define @t5838 () (tptp.c_COMBB @t30 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t5839 () (tptp.tc_fun tptp.tc_Nat_Onat @t30)) % 6.34/6.55 (define @t5840 () (tptp.hAPP (tptp.c_COMBC @t30 @t2246 @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2952 @t2954 @t30) @t2953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 @t2952 @t30) @t2951) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5839 @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 (tptp.tc_fun @t5839 @t2246) @t30) @t5838) tptp.c_fequal)) @t5808))))) % 6.34/6.55 (define @t5841 () (tptp.hAPP (tptp.c_COMBB @t2246 tptp.tc_HOL_Obool @t30) @t5810)) % 6.34/6.55 (define @t5842 () (tptp.hAPP @t5825 @t1619)) % 6.34/6.55 (define @t5843 () (not @t1831)) % 6.34/6.55 (define @t5844 () (@list @t5568 @t136 @t35 @t990)) % 6.34/6.55 (define @t5845 () (tptp.hAPP @t5613 @t696)) % 6.34/6.55 (define @t5846 () (tptp.hAPP @t5613 @t378)) % 6.34/6.55 (define @t5847 () (= @t5846 @t5845)) % 6.34/6.55 (define @t5848 () (tptp.hAPP @t3061 (tptp.hAPP @t5808 @t46))) % 6.34/6.55 (define @t5849 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t46) @t5637))) % 6.34/6.55 (define @t5850 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t30 @t5768) (tptp.hAPP @t5767 @t2032)) @t5464)) % 6.34/6.55 (define @t5851 () (tptp.c_Random_Oselect @t30 @t5464)) % 6.34/6.55 (define @t5852 () (tptp.c_List_Otake @t30)) % 6.34/6.55 (define @t5853 () (tptp.hAPP @t5852 @t1238)) % 6.34/6.55 (define @t5854 () (tptp.hAPP @t5852 @t23)) % 6.34/6.55 (define @t5855 () (tptp.hAPP @t5854 @t5464)) % 6.34/6.55 (define @t5856 () (tptp.hAPP @t5500 @t5855)) % 6.34/6.55 (define @t5857 () (@list @t5464 @t23 @t378 @t30)) % 6.34/6.55 (define @t5858 () (tptp.c_List_Otake @t35)) % 6.34/6.55 (define @t5859 () (tptp.hAPP @t5858 @t10)) % 6.34/6.55 (define @t5860 () (tptp.hAPP @t5859 @t5568)) % 6.34/6.55 (define @t5861 () (@list @t5464 @t23 @t30)) % 6.34/6.55 (define @t5862 () (tptp.hBOOL (tptp.hAPP @t5707 @t10))) % 6.34/6.55 (define @t5863 () (@list @t10 @t5568 @t35)) % 6.34/6.55 (define @t5864 () (tptp.hAPP (tptp.hAPP @t5858 @t544) @t5568)) % 6.34/6.55 (define @t5865 () (@list @t544 @t5568 @t35)) % 6.34/6.55 (define @t5866 () (tptp.hAPP (tptp.hAPP @t5858 @t264) @t5568)) % 6.34/6.55 (define @t5867 () (@list @t5568 @t264 @t10 @t35)) % 6.34/6.55 (define @t5868 () (@list @t5578 @t5568 @t10 @t30 @t35)) % 6.34/6.55 (define @t5869 () (@list @t5568 @t10 @t35)) % 6.34/6.55 (define @t5870 () (tptp.hAPP @t5858 @t36)) % 6.34/6.55 (define @t5871 () (@list @t5568 @t136 @t10 @t35)) % 6.34/6.55 (define @t5872 () (@list @t5464 @t2 @t127 @t23 @t30)) % 6.34/6.55 (define @t5873 () (tptp.c_List_Olist_ONil @t30)) % 6.34/6.55 (define @t5874 () (= @t5464 @t5873)) % 6.34/6.55 (define @t5875 () (not @t5874)) % 6.34/6.55 (define @t5876 () (@list @t30 @t5464)) % 6.34/6.55 (define @t5877 () (tptp.hAPP @t5639 @t5873)) % 6.34/6.55 (define @t5878 () (tptp.hAPP @t5641 (tptp.hAPP @t5877 @t5464))) % 6.34/6.55 (define @t5879 () (tptp.hAPP @t5641 (tptp.hAPP @t5640 @t5873))) % 6.34/6.55 (define @t5880 () (tptp.c_List_Olist__update @t35 @t5568)) % 6.34/6.55 (define @t5881 () (tptp.hAPP @t5880 @t544)) % 6.34/6.55 (define @t5882 () (tptp.hAPP @t5812 @t546)) % 6.34/6.55 (define @t5883 () (tptp.hAPP @t5881 @t136)) % 6.34/6.55 (define @t5884 () (tptp.hAPP @t5811 @t5883)) % 6.34/6.55 (define @t5885 () (tptp.hAPP @t5884 @t546)) % 6.34/6.55 (define @t5886 () (= @t544 @t546)) % 6.34/6.55 (define @t5887 () (=> (not @t5886) (= @t5885 @t5882))) % 6.34/6.55 (define @t5888 () (@list @t136 @t544 @t5568 @t35)) % 6.34/6.55 (define @t5889 () (tptp.c_List_Olist_ONil @t35)) % 6.34/6.55 (define @t5890 () (@list @t5568 @t35)) % 6.34/6.55 (define @t5891 () (tptp.c_COMBC tptp.tc_Nat_Onat @t5059 @t5059)) % 6.34/6.55 (define @t5892 () (tptp.hAPP (tptp.c_COMBB @t5059 @t5059 tptp.tc_Nat_Onat) @t5708)) % 6.34/6.55 (define @t5893 () (@list @t5464 @t378 @t23 @t30)) % 6.34/6.55 (define @t5894 () (tptp.c_List_Olist_ONil @t127)) % 6.34/6.55 (define @t5895 () (= @t5464 @t5894)) % 6.34/6.55 (define @t5896 () (@list @t5464 @t2 @t30 @t127)) % 6.34/6.55 (define @t5897 () (tptp.hAPP (tptp.c_List_Olist__update @t5583 @t5582) @t544)) % 6.34/6.55 (define @t5898 () (tptp.hAPP (tptp.c_List_Olist__update @t30 @t5578) @t544)) % 6.34/6.55 (define @t5899 () (@var "V_xy" $$unsorted)) % 6.34/6.55 (define @t5900 () (tptp.hAPP @t5708 @t5873)) % 6.34/6.55 (define @t5901 () (tptp.hAPP @t5881 @t135)) % 6.34/6.55 (define @t5902 () (tptp.c_List_Olist__update @t35 @t5711)) % 6.34/6.55 (define @t5903 () (@var "V_list_H" $$unsorted)) % 6.34/6.55 (define @t5904 () (tptp.hAPP (tptp.hAPP @t5704 @t441) @t5903)) % 6.34/6.55 (define @t5905 () (@list @t5903 @t441 @t35)) % 6.34/6.55 (define @t5906 () (tptp.c_List_Olist__update @t30 @t5464)) % 6.34/6.55 (define @t5907 () (tptp.c_List_Olist_ONil @t5583)) % 6.34/6.55 (define @t5908 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 6.34/6.55 (define @t5909 () (= @t5555 @t5908)) % 6.34/6.55 (define @t5910 () (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5889) @t544)) % 6.34/6.55 (define @t5911 () (tptp.c_List_Olist__update @t35 @t5883)) % 6.34/6.55 (define @t5912 () (@var "V_x_H" $$unsorted)) % 6.34/6.55 (define @t5913 () (@var "V_i_H" $$unsorted)) % 6.34/6.55 (define @t5914 () (tptp.hAPP @t5623 @t140)) % 6.34/6.55 (define @t5915 () (tptp.hAPP @t5906 @t178)) % 6.34/6.55 (define @t5916 () (tptp.hAPP @t5915 @t378)) % 6.34/6.55 (define @t5917 () (tptp.hAPP @t2372 (tptp.hAPP @t5500 @t5916))) % 6.34/6.55 (define @t5918 () (tptp.hAPP @t5705 @t5889)) % 6.34/6.55 (define @t5919 () (tptp.hAPP @t5877 @t5873)) % 6.34/6.55 (define @t5920 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 6.34/6.55 (define @t5921 () (tptp.c_List_Osublist @t30 @t5900 @t1235)) % 6.34/6.55 (define @t5922 () (tptp.hAPP @t4873 @t1235)) % 6.34/6.55 (define @t5923 () (tptp.hBOOL @t5922)) % 6.34/6.55 (define @t5924 () (tptp.hAPP @t5858 @t1604)) % 6.34/6.55 (define @t5925 () (tptp.hAPP @t5924 @t5568)) % 6.34/6.55 (define @t5926 () (tptp.hAPP @t5859 @t5711)) % 6.34/6.55 (define @t5927 () (tptp.hAPP @t1635 @t264)) % 6.34/6.55 (define @t5928 () (tptp.c_List_Oupto @t5927 @t1994)) % 6.34/6.55 (define @t5929 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t5927) @t1994))) % 6.34/6.55 (define @t5930 () (tptp.hAPP (tptp.hAPP @t5742 @t5873) @t5741)) % 6.34/6.55 (define @t5931 () (tptp.hAPP (tptp.c_COMBC @t30 @t5059 @t5059) @t5701)) % 6.34/6.55 (define @t5932 () (tptp.hAPP @t5931 @t5873)) % 6.34/6.55 (define @t5933 () (tptp.hAPP (tptp.hAPP @t5858 @t1619) @t5711)) % 6.34/6.55 (define @t5934 () (tptp.hBOOL (tptp.hAPP @t1092 @t1545))) % 6.34/6.55 (define @t5935 () (tptp.c_Wellfounded_Oaccp @t2238 tptp.c_List_Oupto__rel)) % 6.34/6.55 (define @t5936 () (tptp.c_Product__Type_OPair @t5059 @t127)) % 6.34/6.55 (define @t5937 () (tptp.tc_prod @t5059 @t127)) % 6.34/6.55 (define @t5938 () (tptp.tc_fun @t127 @t5937)) % 6.34/6.55 (define @t5939 () (tptp.tc_fun @t5059 @t5938)) % 6.34/6.55 (define @t5940 () (tptp.tc_fun @t5937 @t5937)) % 6.34/6.55 (define @t5941 () (tptp.hAPP (tptp.hAPP @t5936 @t5873) @t378)) % 6.34/6.55 (define @t5942 () (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph @t127 @t30 @t2 @t327) @t378)) % 6.34/6.55 (define @t5943 () (tptp.tc_List_Olist @t2450)) % 6.34/6.55 (define @t5944 () (tptp.tc_fun @t5943 @t5943)) % 6.34/6.55 (define @t5945 () (tptp.tc_fun @t5453 @t5943)) % 6.34/6.55 (define @t5946 () (tptp.c_List_Olist_ONil @t2450)) % 6.34/6.55 (define @t5947 () (tptp.c_List_Olist_Olist__case @t30 @t127 @t37 @t44)) % 6.34/6.55 (define @t5948 () (@var "V_As_2" $$unsorted)) % 6.34/6.55 (define @t5949 () (tptp.tc_fun @t5059 @t5943)) % 6.34/6.55 (define @t5950 () (tptp.c_Map_Omap__upds @t30 @t127 @t2 @t5464 @t5475)) % 6.34/6.55 (define @t5951 () (tptp.c_Map_Omap__upds @t30 @t127 (tptp.hAPP @t4485 @t4356) @t5464 @t5475)) % 6.34/6.55 (define @t5952 () (tptp.hAPP @t5500 (tptp.hAPP (tptp.hAPP @t5852 @t5646) @t5464))) % 6.34/6.55 (define @t5953 () (tptp.hBOOL (tptp.hAPP @t2986 @t5952))) % 6.34/6.55 (define @t5954 () (@var "V_bs_2" $$unsorted)) % 6.34/6.55 (define @t5955 () (@var "V_as_2" $$unsorted)) % 6.34/6.55 (define @t5956 () (tptp.hAPP @t449 @t64)) % 6.34/6.55 (define @t5957 () (tptp.c_Map_Omap__upds @t30 @t127 (tptp.hAPP @t4368 @t5956) @t5955 @t5954)) % 6.34/6.55 (define @t5958 () (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5464 @t5475)) % 6.34/6.55 (define @t5959 () (tptp.hAPP @t934 @t5637)) % 6.34/6.55 (define @t5960 () (tptp.hAPP @t5500 @t5955)) % 6.34/6.55 (define @t5961 () (tptp.c_List_Oappend @t30)) % 6.34/6.55 (define @t5962 () (tptp.hAPP @t5961 @t5464)) % 6.34/6.55 (define @t5963 () (tptp.hAPP @t5962 @t5900)) % 6.34/6.55 (define @t5964 () (tptp.hAPP @t5723 @t5873)) % 6.34/6.55 (define @t5965 () (tptp.hAPP @t5961 @t5475)) % 6.34/6.55 (define @t5966 () (tptp.hAPP @t5965 @t5964)) % 6.34/6.55 (define @t5967 () (@var "B_ys_H" $$unsorted)) % 6.34/6.55 (define @t5968 () (tptp.hAPP (tptp.hAPP @t5961 @t5967) @t5587)) % 6.34/6.55 (define @t5969 () (tptp.hAPP @t5708 @t5967)) % 6.34/6.55 (define @t5970 () (@list @t5967)) % 6.34/6.55 (define @t5971 () (= @t5475 @t5873)) % 6.34/6.55 (define @t5972 () (tptp.hAPP @t5965 @t5587)) % 6.34/6.55 (define @t5973 () (tptp.c_List_Oappend @t127)) % 6.34/6.55 (define @t5974 () (@list @t5587 @t325 @t5475 @t127 @t5464 @t30)) % 6.34/6.55 (define @t5975 () (tptp.hAPP @t5962 @t5587)) % 6.34/6.55 (define @t5976 () (tptp.c_List_Oappend @t35)) % 6.34/6.55 (define @t5977 () (tptp.hAPP @t5976 @t5568)) % 6.34/6.55 (define @t5978 () (tptp.hAPP @t5977 @t5706)) % 6.34/6.55 (define @t5979 () (tptp.hAPP (tptp.hAPP @t5976 @t5578) @t5566)) % 6.34/6.55 (define @t5980 () (@var "V_xs1" $$unsorted)) % 6.34/6.55 (define @t5981 () (tptp.hAPP @t5976 @t5980)) % 6.34/6.55 (define @t5982 () (tptp.hAPP @t5977 @t5578)) % 6.34/6.55 (define @t5983 () (tptp.hAPP @t5725 @t5578)) % 6.34/6.55 (define @t5984 () (tptp.c_List_Olist__update @t35 @t5982)) % 6.34/6.55 (define @t5985 () (tptp.hAPP @t5811 @t5578)) % 6.34/6.55 (define @t5986 () (tptp.hAPP @t301 @t5620)) % 6.34/6.55 (define @t5987 () (tptp.hAPP @t5811 @t5982)) % 6.34/6.55 (define @t5988 () (@var "V_vs" $$unsorted)) % 6.34/6.55 (define @t5989 () (tptp.hAPP @t5580 @t5578)) % 6.34/6.55 (define @t5990 () (@var "V_us" $$unsorted)) % 6.34/6.55 (define @t5991 () (tptp.c_List_Oappend @t5583)) % 6.34/6.55 (define @t5992 () (tptp.hAPP @t5580 @t5982)) % 6.34/6.55 (define @t5993 () (tptp.hAPP (tptp.hAPP @t5973 @t5464) @t5475)) % 6.34/6.55 (define @t5994 () (tptp.hAPP @t5962 @t5475)) % 6.34/6.55 (define @t5995 () (tptp.c_List_Oremove1 @t30 @t378 @t5994)) % 6.34/6.55 (define @t5996 () (@list @t5475 @t5464 @t378 @t30)) % 6.34/6.55 (define @t5997 () (@var "B_us" $$unsorted)) % 6.34/6.55 (define @t5998 () (tptp.hAPP @t5961 @t5997)) % 6.34/6.55 (define @t5999 () (tptp.hAPP @t5961 @t5587)) % 6.34/6.55 (define @t6000 () (@list @t5587 @t5475 @t5464 @t30)) % 6.34/6.55 (define @t6001 () (@list @t5475 @t5464 @t30)) % 6.34/6.55 (define @t6002 () (tptp.hAPP @t1494 @t5620)) % 6.34/6.55 (define @t6003 () (tptp.hAPP @t5976 @t5860)) % 6.34/6.55 (define @t6004 () (@list @t5578 @t5568 @t10 @t35)) % 6.34/6.55 (define @t6005 () (tptp.hAPP (tptp.hAPP @t5976 @t5889) @t5578)) % 6.34/6.55 (define @t6006 () (and @t5874 @t5971)) % 6.34/6.55 (define @t6007 () (tptp.hAPP @t5961 @t378)) % 6.34/6.55 (define @t6008 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 (tptp.hAPP @t6007 @t1586)) (tptp.hAPP @t6007 @t1684))) @t5800))) % 6.34/6.55 (define @t6009 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t1586) @t1684)) @t5800))) % 6.34/6.55 (define @t6010 () (tptp.hBOOL (tptp.hAPP @t5541 @t5475))) % 6.34/6.55 (define @t6011 () (tptp.hAPP @t5987 @t10)) % 6.34/6.55 (define @t6012 () (tptp.hBOOL (tptp.hAPP @t488 @t5620))) % 6.34/6.55 (define @t6013 () (not @t6012)) % 6.34/6.55 (define @t6014 () (tptp.hAPP (tptp.hAPP @t5984 @t10) @t136)) % 6.34/6.55 (define @t6015 () (@var "V_l_H_2" $$unsorted)) % 6.34/6.55 (define @t6016 () (tptp.hAPP @t5961 @t1586)) % 6.34/6.55 (define @t6017 () (tptp.hAPP @t5704 @t5813)) % 6.34/6.55 (define @t6018 () (tptp.hAPP @t5976 @t5864)) % 6.34/6.55 (define @t6019 () (@list @t5568 @t35 @t544)) % 6.34/6.55 (define @t6020 () (tptp.c_List_Olistrel1 @t30 @t2033)) % 6.34/6.55 (define @t6021 () (tptp.hBOOL (tptp.hAPP @t5642 @t6020))) % 6.34/6.55 (define @t6022 () (tptp.hAPP @t3061 @t472)) % 6.34/6.55 (define @t6023 () (tptp.c_Wellfounded_Oacc @t5059 @t6020)) % 6.34/6.55 (define @t6024 () (tptp.hAPP @t5744 @t5709)) % 6.34/6.55 (define @t6025 () (tptp.hAPP @t5744 @t5464)) % 6.34/6.55 (define @t6026 () (tptp.hBOOL (tptp.hAPP @t6025 @t6023))) % 6.34/6.55 (define @t6027 () (tptp.hAPP @t5696 @t6020)) % 6.34/6.55 (define @t6028 () (tptp.hAPP (tptp.c_Relation_Oconverse @t5059 @t5059) @t6020)) % 6.34/6.55 (define @t6029 () (tptp.c_List_Olistrel1 @t30 @t5205)) % 6.34/6.55 (define @t6030 () (tptp.c_Transitive__Closure_Ortrancl @t5059 @t6020)) % 6.34/6.55 (define @t6031 () (tptp.hAPP @t5641 (tptp.hAPP @t5737 (tptp.hAPP @t5708 @t5475)))) % 6.34/6.55 (define @t6032 () (tptp.hBOOL (tptp.hAPP @t5642 @t6030))) % 6.34/6.55 (define @t6033 () (@list @t378 @t2033 @t5475 @t5464 @t30)) % 6.34/6.55 (define @t6034 () (@var "V_vs_2" $$unsorted)) % 6.34/6.55 (define @t6035 () (@var "V_us_2" $$unsorted)) % 6.34/6.55 (define @t6036 () (tptp.hAPP @t5961 @t6035)) % 6.34/6.55 (define @t6037 () (@var "B_vs" $$unsorted)) % 6.34/6.55 (define @t6038 () (tptp.hAPP (tptp.c_COMBC @t5059 @t5059 @t5059) @t5961)) % 6.34/6.55 (define @t6039 () (tptp.c_COMBB @t5059 @t5745 @t30)) % 6.34/6.55 (define @t6040 () (tptp.c_List_Orotate1 @t30)) % 6.34/6.55 (define @t6041 () (tptp.hAPP @t6040 @t5464)) % 6.34/6.55 (define @t6042 () (tptp.c_List_Odrop @t35)) % 6.34/6.55 (define @t6043 () (tptp.hAPP (tptp.hAPP @t6042 @t545) @t5568)) % 6.34/6.55 (define @t6044 () (tptp.hAPP @t6042 @t10)) % 6.34/6.55 (define @t6045 () (tptp.hAPP @t6044 @t5568)) % 6.34/6.55 (define @t6046 () (tptp.c_List_Odrop @t30)) % 6.34/6.55 (define @t6047 () (tptp.hAPP @t6046 @t23)) % 6.34/6.55 (define @t6048 () (tptp.hAPP @t6047 @t5464)) % 6.34/6.55 (define @t6049 () (tptp.hAPP @t6042 @t264)) % 6.34/6.55 (define @t6050 () (tptp.hAPP @t6049 @t5568)) % 6.34/6.55 (define @t6051 () (tptp.hAPP @t5500 @t6048)) % 6.34/6.55 (define @t6052 () (tptp.hAPP (tptp.hAPP @t6042 @t544) @t5568)) % 6.34/6.55 (define @t6053 () (tptp.hAPP @t1459 @t5620)) % 6.34/6.55 (define @t6054 () (tptp.c_List_Orotate1 @t35)) % 6.34/6.55 (define @t6055 () (tptp.hAPP @t6054 @t5568)) % 6.34/6.55 (define @t6056 () (tptp.hAPP @t6042 @t36)) % 6.34/6.55 (define @t6057 () (tptp.hAPP @t6044 @t5711)) % 6.34/6.55 (define @t6058 () (tptp.hAPP @t312 @t544)) % 6.34/6.55 (define @t6059 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 6.34/6.55 (define @t6060 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 6.34/6.55 (define @t6061 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 6.34/6.55 (define @t6062 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 6.34/6.55 (define @t6063 () (tptp.hAPP @t5613 @t6062)) % 6.34/6.55 (define @t6064 () (tptp.hAPP @t5613 @t6061)) % 6.34/6.55 (define @t6065 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t6064) @t6063))) % 6.34/6.55 (define @t6066 () (tptp.hAPP @t6017 @t6043)) % 6.34/6.55 (define @t6067 () (tptp.hAPP @t5701 @t136)) % 6.34/6.55 (define @t6068 () (tptp.hAPP (tptp.hAPP @t6042 @t1619) @t5711)) % 6.34/6.55 (define @t6069 () (tptp.hBOOL (tptp.hAPP @t5707 @t933))) % 6.34/6.55 (define @t6070 () (@list @t5566 @t5578 @t5568 @t30 @t35)) % 6.34/6.55 (define @t6071 () (tptp.hAPP @t5870 @t5568)) % 6.34/6.55 (define @t6072 () (tptp.c_List_Ohd @t35)) % 6.34/6.55 (define @t6073 () (tptp.hAPP @t6072 @t6045)) % 6.34/6.55 (define @t6074 () (@list @t5568 @t35 @t10)) % 6.34/6.55 (define @t6075 () (= @t5568 @t5889)) % 6.34/6.55 (define @t6076 () (not @t6075)) % 6.34/6.55 (define @t6077 () (@list @t10 @t35 @t5568)) % 6.34/6.55 (define @t6078 () (tptp.hAPP @t6072 @t5568)) % 6.34/6.55 (define @t6079 () (tptp.hAPP @t6072 @t5982)) % 6.34/6.55 (define @t6080 () (=> @t6076 (= @t6079 @t6078))) % 6.34/6.55 (define @t6081 () (@list @t5578 @t35 @t5568)) % 6.34/6.55 (define @t6082 () (tptp.c_List_Ohd @t30)) % 6.34/6.55 (define @t6083 () (tptp.hAPP @t6082 @t5464)) % 6.34/6.55 (define @t6084 () (@list @t2 @t127 @t30 @t5464)) % 6.34/6.55 (define @t6085 () (@list @t35 @t5568)) % 6.34/6.55 (define @t6086 () (tptp.hAPP @t5704 @t6078)) % 6.34/6.55 (define @t6087 () (tptp.c_List_Otl @t35 @t5568)) % 6.34/6.55 (define @t6088 () (tptp.hAPP @t5976 @t6087)) % 6.34/6.55 (define @t6089 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t10 @t5620)) % 6.34/6.55 (define @t6090 () (tptp.c_List_Orotate @t35 @t10)) % 6.34/6.55 (define @t6091 () (tptp.hAPP @t6090 @t5568)) % 6.34/6.55 (define @t6092 () (tptp.hAPP @t6044 @t6087)) % 6.34/6.55 (define @t6093 () (tptp.c_List_Otl @t35 @t6045)) % 6.34/6.55 (define @t6094 () (tptp.c_List_Orotate @t30 @t23)) % 6.34/6.55 (define @t6095 () (tptp.hAPP @t6094 @t5464)) % 6.34/6.55 (define @t6096 () (tptp.hAPP @t5859 @t6087)) % 6.34/6.55 (define @t6097 () (tptp.hAPP @t6054 @t6091)) % 6.34/6.55 (define @t6098 () (= @t6091 @t5568)) % 6.34/6.55 (define @t6099 () (tptp.hAPP @t6053 @t933)) % 6.34/6.55 (define @t6100 () (tptp.c_List_Ofoldl @t30 @t127 @t2 @t140)) % 6.34/6.55 (define @t6101 () (tptp.hAPP @t6100 @t5464)) % 6.34/6.55 (define @t6102 () (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t354 @t140) @t5464)) % 6.34/6.55 (define @t6103 () (tptp.c_List_Ofoldl @t30 @t30 @t354 @t352)) % 6.34/6.55 (define @t6104 () (@list @t5587 @t696 @t378 @t30)) % 6.34/6.55 (define @t6105 () (tptp.c_List_Ofoldr @t30 @t30 @t354 @t5464 @t352)) % 6.34/6.55 (define @t6106 () (@list @t5464 @t140 @t30)) % 6.34/6.55 (define @t6107 () (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t2520 @t378) @t5464)) % 6.34/6.55 (define @t6108 () (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t2644 @t378) @t5464)) % 6.34/6.55 (define @t6109 () (@list @t2 @t5464 @t127 @t30)) % 6.34/6.55 (define @t6110 () (tptp.c_List_Olist_Olist__size @t30 @t2 @t5464)) % 6.34/6.55 (define @t6111 () (tptp.hAPP @t474 @t696)) % 6.34/6.55 (define @t6112 () (@list @t2 @t696 @t5464 @t378 @t30)) % 6.34/6.55 (define @t6113 () (tptp.tc_fun @t127 @t5425)) % 6.34/6.55 (define @t6114 () (tptp.tc_fun @t5430 @t6113)) % 6.34/6.55 (define @t6115 () (tptp.tc_fun @t30 @t6114)) % 6.34/6.55 (define @t6116 () (tptp.tc_fun @t30 @t6113)) % 6.34/6.55 (define @t6117 () (@list @t5464 @t2 @t30)) % 6.34/6.55 (define @t6118 () (tptp.c_List_Olists @t30 @t1235)) % 6.34/6.55 (define @t6119 () (tptp.hBOOL (tptp.hAPP @t6025 (tptp.c_List_Olists @t30 @t3310)))) % 6.34/6.55 (define @t6120 () (tptp.hBOOL (tptp.hAPP @t6025 @t6118))) % 6.34/6.55 (define @t6121 () (@list @t1235 @t5464 @t30)) % 6.34/6.55 (define @t6122 () (tptp.hAPP @t5701 @t472)) % 6.34/6.55 (define @t6123 () (tptp.c_List_Olast @t35 @t5568)) % 6.34/6.55 (define @t6124 () (tptp.hAPP @t5880 @t322)) % 6.34/6.55 (define @t6125 () (tptp.hAPP @t6124 @t136)) % 6.34/6.55 (define @t6126 () (tptp.c_List_Olast @t35 @t6125)) % 6.34/6.55 (define @t6127 () (= @t322 @t6099)) % 6.34/6.55 (define @t6128 () (not @t6127)) % 6.34/6.55 (define @t6129 () (tptp.c_List_Olast @t35 @t5711)) % 6.34/6.55 (define @t6130 () (=> @t6076 (= @t6129 @t6123))) % 6.34/6.55 (define @t6131 () (=> @t6075 (= @t6129 @t136))) % 6.34/6.55 (define @t6132 () (tptp.c_List_Olast @t35 @t5982)) % 6.34/6.55 (define @t6133 () (= @t5578 @t5889)) % 6.34/6.55 (define @t6134 () (not @t6133)) % 6.34/6.55 (define @t6135 () (=> @t6134 (= @t6132 (tptp.c_List_Olast @t35 @t5578)))) % 6.34/6.55 (define @t6136 () (=> @t6133 (= @t6132 @t6123))) % 6.34/6.55 (define @t6137 () (@list @t5568 @t35 @t5578)) % 6.34/6.55 (define @t6138 () (tptp.hAPP @t5977 @t5918)) % 6.34/6.55 (define @t6139 () (tptp.hAPP @t5639 @t696)) % 6.34/6.55 (define @t6140 () (@var "B_l" $$unsorted)) % 6.34/6.55 (define @t6141 () (tptp.hAPP @t5858 @t322)) % 6.34/6.55 (define @t6142 () (tptp.c_List_Obutlast @t35 @t5982)) % 6.34/6.55 (define @t6143 () (tptp.c_List_Obutlast @t35 @t5568)) % 6.34/6.55 (define @t6144 () (tptp.c_List_Obutlast @t35 @t5711)) % 6.34/6.55 (define @t6145 () (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5500 (tptp.c_List_Obutlast @t30 @t5464))))) % 6.34/6.55 (define @t6146 () (tptp.hAPP @t6044 @t6143)) % 6.34/6.55 (define @t6147 () (tptp.c_List_Obutlast @t35 @t6045)) % 6.34/6.55 (define @t6148 () (tptp.c_List_Obutlast @t30 @t5475)) % 6.34/6.55 (define @t6149 () (tptp.c_List_Obutlast @t35 @t6125)) % 6.34/6.55 (define @t6150 () (@var "V_xss_2" $$unsorted)) % 6.34/6.55 (define @t6151 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2196 @t5453)) % 6.34/6.55 (define @t6152 () (tptp.hAPP @t6151 @t2621)) % 6.34/6.55 (define @t6153 () (@var "V_no_2" $$unsorted)) % 6.34/6.55 (define @t6154 () (tptp.hAPP @t5500 @t6153)) % 6.34/6.55 (define @t6155 () (@var "V_yes_2" $$unsorted)) % 6.34/6.55 (define @t6156 () (tptp.hAPP @t5500 @t6155)) % 6.34/6.55 (define @t6157 () (tptp.c_List_Opartition @t30 @t27 @t5464)) % 6.34/6.55 (define @t6158 () (= @t6157 (tptp.hAPP (tptp.hAPP @t5639 @t6155) @t6153))) % 6.34/6.55 (define @t6159 () (@list @t6153 @t6155 @t5464 @t27 @t30)) % 6.34/6.55 (define @t6160 () (tptp.c_List_Ofilter @t30 @t27)) % 6.34/6.55 (define @t6161 () (tptp.hAPP @t6160 @t5464)) % 6.34/6.55 (define @t6162 () (tptp.hAPP @t5613 @t6161)) % 6.34/6.55 (define @t6163 () (@list @t5464 @t27 @t30)) % 6.34/6.55 (define @t6164 () (tptp.hAPP @t5500 @t6161)) % 6.34/6.55 (define @t6165 () (not @t2750)) % 6.34/6.55 (define @t6166 () (tptp.c_List_Ofilter @t30 @t21)) % 6.34/6.55 (define @t6167 () (tptp.hAPP @t6166 @t5464)) % 6.34/6.55 (define @t6168 () (@list @t5464 @t30 @t378 @t27)) % 6.34/6.55 (define @t6169 () (tptp.hAPP @t6160 @t5709)) % 6.34/6.55 (define @t6170 () (tptp.hAPP (tptp.c_List_Ofilter @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 tptp.tc_HOL_Obool @t127 @t27) @t2)) @t5464)) % 6.34/6.55 (define @t6171 () (tptp.hAPP @t6160 @t5478)) % 6.34/6.55 (define @t6172 () (@list @t5464 @t2 @t127 @t27 @t30)) % 6.34/6.55 (define @t6173 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t30 tptp.c_fNot)) % 6.34/6.55 (define @t6174 () (@list @t696 @t5464 @t30)) % 6.34/6.55 (define @t6175 () (tptp.c_List_Osublist @t30 @t5464 @t61)) % 6.34/6.55 (define @t6176 () (tptp.tc_fun @t5062 @t5062)) % 6.34/6.55 (define @t6177 () (tptp.tc_fun @t5059 @t6176)) % 6.34/6.55 (define @t6178 () (tptp.c_List_Ofilter @t30 @t1615)) % 6.34/6.55 (define @t6179 () (@list @t5464 @t1615 @t30)) % 6.34/6.55 (define @t6180 () (tptp.c_List_Omap__filter @t127 @t30 @t2 @t5464)) % 6.34/6.55 (define @t6181 () (tptp.c_List_Ofilter @t5059 (tptp.hAPP (tptp.hAPP @t5700 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5059 tptp.tc_HOL_Obool) tptp.c_fequal) @t5873)))) % 6.34/6.55 (define @t6182 () (tptp.tc_List_Olist @t5059)) % 6.34/6.55 (define @t6183 () (tptp.c_Nat_Osize__class_Osize @t6182)) % 6.34/6.55 (define @t6184 () (tptp.c_List_Otranspose @t30 @t5464)) % 6.34/6.55 (define @t6185 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2196 @t5059) @t2621) @t5613)) % 6.34/6.55 (define @t6186 () (tptp.hAPP (tptp.c_List_Omap @t5453 @t5059) @t5470)) % 6.34/6.55 (define @t6187 () (tptp.hAPP @t6186 @t5464)) % 6.34/6.55 (define @t6188 () (@var "V_xss" $$unsorted)) % 6.34/6.55 (define @t6189 () (tptp.c_List_Olist_OCons @t5618)) % 6.34/6.55 (define @t6190 () (= @t4 @t5873)) % 6.34/6.55 (define @t6191 () (tptp.c_List_Oset @t5059)) % 6.34/6.55 (define @t6192 () (tptp.hAPP @t6191 @t5464)) % 6.34/6.55 (define @t6193 () (tptp.hAPP @t5744 @t4)) % 6.34/6.55 (define @t6194 () (tptp.c_List_Olist_ONil @t5059)) % 6.34/6.55 (define @t6195 () (tptp.c_List_Olist_ONil @t5618)) % 6.34/6.55 (define @t6196 () (@var "V_is_2" $$unsorted)) % 6.34/6.55 (define @t6197 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 6.34/6.55 (define @t6198 () (tptp.hAPP (tptp.c_List_Ozip @t30 tptp.tc_Nat_Onat) @t5464)) % 6.34/6.55 (define @t6199 () (tptp.c_Product__Type_Osnd @t30 tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t6200 () (tptp.tc_prod @t30 tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t6201 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t6200) @t27)) % 6.34/6.55 (define @t6202 () (tptp.hAPP (tptp.c_List_Omap @t6200 @t30) (tptp.c_Product__Type_Ofst @t30 tptp.tc_Nat_Onat))) % 6.34/6.55 (define @t6203 () (tptp.hAPP (tptp.c_List_Ofilter @t5768 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t30 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2371 tptp.tc_Code__Numeral_Ocode__numeral) @t4907) @t2619))) @t5464)) % 6.34/6.55 (define @t6204 () (tptp.c_List_Ofilter @t5059 (tptp.hAPP (tptp.hAPP @t5656 @t1550) @t5613))) % 6.34/6.55 (define @t6205 () (tptp.c_List_Omap @t5059 @t30)) % 6.34/6.55 (define @t6206 () (tptp.hAPP @t6205 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 tptp.tc_Nat_Onat @t30) @t5807) @t178))) % 6.34/6.55 (define @t6207 () (tptp.c_List_Onth @t5059)) % 6.34/6.55 (define @t6208 () (tptp.hAPP @t6183 @t6184)) % 6.34/6.55 (define @t6209 () (tptp.tc_fun @t2717 @t2717)) % 6.34/6.55 (define @t6210 () (tptp.c_List_Ofilter @t127 @t27)) % 6.34/6.55 (define @t6211 () (tptp.hAPP @t6210 @t5464)) % 6.34/6.55 (define @t6212 () (tptp.hAPP @t5470 @t6211)) % 6.34/6.55 (define @t6213 () (tptp.c_List_Oremove1 @t30 @t140 @t5464)) % 6.34/6.55 (define @t6214 () (tptp.c_List_Olinorder__class_Osorted @t127 @t5482)) % 6.34/6.55 (define @t6215 () (tptp.c_List_Oupt @t214 @t5637)) % 6.34/6.55 (define @t6216 () (tptp.hAPP @t6198 @t6215)) % 6.34/6.55 (define @t6217 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4869 @t6200) @t3334)) % 6.34/6.55 (define @t6218 () (tptp.c_COMBC @t6200 @t2246 tptp.tc_HOL_Obool)) % 6.34/6.55 (define @t6219 () (tptp.c_List_Ofilter @t6200 (tptp.hAPP (tptp.hAPP @t6218 (tptp.hAPP @t6217 @t6199)) @t1235))) % 6.34/6.55 (define @t6220 () (tptp.hAPP @t1 @t5464)) % 6.34/6.55 (define @t6221 () (tptp.c_List_Olinorder__class_Osorted @t30 @t5478)) % 6.34/6.55 (define @t6222 () (tptp.c_List_Oupt @t544 @t546)) % 6.34/6.55 (define @t6223 () (tptp.c_List_Olinorder__class_Osorted @t35 @t5568)) % 6.34/6.55 (define @t6224 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t6225 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t6226 () (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) @t6222)) % 6.34/6.55 (define @t6227 () (tptp.c_List_Oupt @t544 @t1583)) % 6.34/6.55 (define @t6228 () (=> @t1145 (= @t6227 (tptp.hAPP @t6226 (tptp.hAPP (tptp.hAPP @t6225 @t546) @t6224))))) % 6.34/6.55 (define @t6229 () (tptp.hAPP @t5723 @t5587)) % 6.34/6.55 (define @t6230 () (tptp.hAPP @t5725 @t5566)) % 6.34/6.55 (define @t6231 () (tptp.c_List_Oupt @t178 @t1545)) % 6.34/6.55 (define @t6232 () (= @t6222 @t6224)) % 6.34/6.55 (define @t6233 () (tptp.c_List_Olinorder__class_Osorted @t30 @t5464)) % 6.34/6.55 (define @t6234 () (tptp.c_List_Olinorder__class_Osorted @t30 @t5475)) % 6.34/6.55 (define @t6235 () (tptp.hAPP @t1618 @t10)) % 6.34/6.55 (define @t6236 () (tptp.hAPP @t1618 @t264)) % 6.34/6.55 (define @t6237 () (tptp.c_List_Oupt @t6236 @t6235)) % 6.34/6.55 (define @t6238 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t6236) @t6235))) % 6.34/6.55 (define @t6239 () (tptp.hAPP @t5795 @t6231)) % 6.34/6.55 (define @t6240 () (=> (= @t5501 @t5519) @t5476)) % 6.34/6.55 (define @t6241 () (tptp.c_List_Oupt @t325 @t23)) % 6.34/6.55 (define @t6242 () (=> @t550 (= @t6222 (tptp.hAPP (tptp.hAPP @t6225 @t544) (tptp.c_List_Oupt @t545 @t546))))) % 6.34/6.55 (define @t6243 () (@list @t378 @t5464 @t2 @t127 @t30)) % 6.34/6.55 (define @t6244 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t30)) % 6.34/6.55 (define @t6245 () (tptp.c_List_Oupt @t214 @t23)) % 6.34/6.55 (define @t6246 () (tptp.hAPP @t4430 (tptp.hAPP @t5795 @t6241))) % 6.34/6.55 (define @t6247 () (tptp.hAPP (tptp.hAPP @t6244 @t2) @t6241)) % 6.34/6.55 (define @t6248 () (tptp.hAPP @t5775 @t6247)) % 6.34/6.55 (define @t6249 () (tptp.hBOOL (tptp.hAPP @t547 @t5620))) % 6.34/6.55 (define @t6250 () (@list @t546 @t544 @t5568 @t35)) % 6.34/6.55 (define @t6251 () (tptp.hAPP @t6183 @t5464)) % 6.34/6.55 (define @t6252 () (tptp.hAPP @t6207 @t5464)) % 6.34/6.55 (define @t6253 () (= @t5464 @t6194)) % 6.34/6.55 (define @t6254 () (tptp.c_List_Olist_OCons @t5059)) % 6.34/6.55 (define @t6255 () (tptp.hAPP (tptp.hAPP @t6254 @t5873) @t6150)) % 6.34/6.55 (define @t6256 () (tptp.c_Wellfounded_Oaccp @t6182 (tptp.c_List_Otranspose__rel @t30))) % 6.34/6.55 (define @t6257 () (@list @t6150 @t30)) % 6.34/6.55 (define @t6258 () (tptp.hAPP (tptp.c_List_Omap @t5059 tptp.tc_Nat_Onat) @t5613)) % 6.34/6.55 (define @t6259 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 6.34/6.55 (define @t6260 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6259 (tptp.hAPP @t6258 @t5464)))) % 6.34/6.55 (define @t6261 () (tptp.c_List_Omap @t5059 @t5059)) % 6.34/6.55 (define @t6262 () (tptp.c_List_Oconcat @t30 (tptp.hAPP (tptp.hAPP @t6261 (tptp.c_List_Olist_Olist__case @t5059 @t30 @t5873 (tptp.hAPP (tptp.hAPP @t6039 (tptp.c_COMBK @t5059 @t5059)) @t5932))) @t6150))) % 6.34/6.55 (define @t6263 () (tptp.c_List_Orev @t30)) % 6.34/6.55 (define @t6264 () (tptp.c_List_Oconcat @t30 @t5464)) % 6.34/6.55 (define @t6265 () (tptp.c_List_Oconcat @t30 @t6150)) % 6.34/6.55 (define @t6266 () (tptp.hAPP @t6263 @t5475)) % 6.34/6.55 (define @t6267 () (tptp.hAPP @t6263 @t5464)) % 6.34/6.55 (define @t6268 () (tptp.c_List_Orev @t35)) % 6.34/6.55 (define @t6269 () (tptp.hAPP @t6268 @t5568)) % 6.34/6.55 (define @t6270 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6193 (tptp.hAPP @t6191 @t6150))) @t6190))) % 6.34/6.55 (define @t6271 () (= @t5464 @t5900)) % 6.34/6.55 (define @t6272 () (tptp.c_List_Oconcat @t35 @t5568)) % 6.34/6.55 (define @t6273 () (tptp.hAPP (tptp.c_List_Orev @t127) @t5464)) % 6.34/6.55 (define @t6274 () (tptp.hAPP @t6053 @t544)) % 6.34/6.55 (define @t6275 () (@list @t5568 @t544 @t35)) % 6.34/6.55 (define @t6276 () (tptp.hAPP (tptp.hAPP @t6254 @t5709) @t6150)) % 6.34/6.55 (define @t6277 () (= (tptp.c_List_Otranspose @t30 @t6276) (tptp.hAPP (tptp.hAPP @t6254 (tptp.hAPP @t5708 @t6262)) (tptp.c_List_Otranspose @t30 (tptp.hAPP (tptp.hAPP @t6254 @t5464) (tptp.c_List_Oconcat @t5059 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5059 @t6182) (tptp.c_List_Olist_Olist__case @t6182 @t30 @t6194 (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun @t5059 @t6182) @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t6182 @t6182) @t6254) @t6194)))) @t6150))))))) % 6.34/6.55 (define @t6278 () (@list @t6150 @t5464 @t378 @t30)) % 6.34/6.55 (define @t6279 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 @t4) (tptp.hAPP (tptp.c_List_Oset @t5062) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t5059 @t5059) @t5464) @t5475)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5669 @t5660) @t4))))) % 6.34/6.55 (define @t6280 () (= @t6251 (tptp.hAPP @t6183 @t5475))) % 6.34/6.55 (define @t6281 () (= @t6264 (tptp.c_List_Oconcat @t30 @t5475))) % 6.34/6.55 (define @t6282 () (tptp.c_List_Ofoldr @t30 @t30 @t2644 @t5464 @t696)) % 6.34/6.55 (define @t6283 () (@var "T_1" $$unsorted)) % 6.34/6.55 (define @t6284 () (@var "T_2" $$unsorted)) % 6.34/6.55 (define @t6285 () (tptp.tc_fun @t6284 @t6283)) % 6.34/6.55 (define @t6286 () (tptp.class_Lattices_Obounded__lattice @t6283)) % 6.34/6.55 (define @t6287 () (@list @t6284 @t6283)) % 6.34/6.55 (define @t6288 () (tptp.class_Lattices_Olattice @t6283)) % 6.34/6.55 (define @t6289 () (tptp.class_Finite__Set_Ofinite @t6283)) % 6.34/6.55 (define @t6290 () (and (tptp.class_Finite__Set_Ofinite @t6284) @t6289)) % 6.34/6.55 (define @t6291 () (@list @t6283 @t6284)) % 6.34/6.55 (define @t6292 () (tptp.tc_prod @t6284 @t6283)) % 6.34/6.55 (define @t6293 () (@var "V_Q" $$unsorted)) % 6.34/6.55 (define @t6294 () (tptp.hAPP @t21 @t2474)) % 6.34/6.55 (define @t6295 () (tptp.hAPP @t27 @t2474)) % 6.34/6.55 (define @t6296 () (@list @t2474 @t21 @t27 @t30 @t465 @t127)) % 6.34/6.55 (define @t6297 () (tptp.hBOOL (tptp.hAPP @t2771 @t696))) % 6.34/6.55 (define @t6298 () (tptp.hBOOL @t27)) % 6.34/6.55 (define @t6299 () (not @t6298)) % 6.34/6.55 (define @t6300 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t27))) % 6.34/6.55 (define @t6301 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t27) @t21))) % 6.34/6.55 (define @t6302 () (tptp.hBOOL @t21)) % 6.34/6.55 (define @t6303 () (not @t6302)) % 6.34/6.55 (define @t6304 () (@list @t21 @t27)) % 6.34/6.55 (define @t6305 () (not @t6301)) % 6.34/6.55 (define @t6306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t27) @t21))) % 6.34/6.55 (define @t6307 () (@list @t27 @t21)) % 6.34/6.55 (define @t6308 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t27) @t21))) % 6.34/6.55 (define @t6309 () (tptp.v_P @t20 @t19)) % 6.34/6.55 (define @t6310 () (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t24 tptp.v_n @t19)) % 6.34/6.55 (define @t6311 () (forall @t26 (=> @t6310 @t6309))) % 6.34/6.55 (define @t6312 () (tptp.v_P @t20 @t24)) % 6.34/6.55 (define @t6313 () (=> @t6312 @t6311)) % 6.34/6.55 (define @t6314 () (forall @t29 @t6313)) % 6.34/6.55 (define @t6315 () (not @t6314)) % 6.34/6.55 (define @t6316 () (@var "BOUND_VARIABLE_75472" $$unsorted)) % 6.34/6.55 (define @t6317 () (tptp.v_P @t20 @t6316)) % 6.34/6.55 (define @t6318 () (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t24 tptp.v_n @t6316))) % 6.34/6.55 (define @t6319 () (not @t6312)) % 6.34/6.55 (define @t6320 () (or @t6319 @t6318 @t6317)) % 6.34/6.55 (define @t6321 () (or @t6318 @t6317)) % 6.34/6.55 (define @t6322 () (or @t6319 @t6321)) % 6.34/6.55 (define @t6323 () (@list @t20 @t24 @t6316)) % 6.34/6.55 (define @t6324 () (forall @t6323 @t6322)) % 6.34/6.55 (define @t6325 () (@list @t6316)) % 6.34/6.55 (define @t6326 () (forall @t6325 @t6322)) % 6.34/6.55 (define @t6327 () (forall @t6325 @t6321)) % 6.34/6.55 (define @t6328 () (or @t6319 @t6327)) % 6.34/6.55 (define @t6329 () (forall @t26 (or (not @t6310) @t6309))) % 6.34/6.55 (define @t6330 () (forall @t6323 @t6320)) % 6.34/6.55 (define @t6331 () (@quantifiers_skolemize @t6330 1)) % 6.34/6.55 (define @t6332 () (@quantifiers_skolemize @t6330 0)) % 6.34/6.55 (define @t6333 () (tptp.v_P @t6332 @t6331)) % 6.34/6.55 (define @t6334 () (@quantifiers_skolemize @t6330 2)) % 6.34/6.55 (define @t6335 () (tptp.v_P @t6332 @t6334)) % 6.34/6.55 (define @t6336 () (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t6331 tptp.v_n @t6334)) % 6.34/6.55 (define @t6337 () (not @t6336)) % 6.34/6.55 (define @t6338 () (not @t6333)) % 6.34/6.55 (define @t6339 () (or @t6338 @t6337 @t6335)) % 6.34/6.55 (define @t6340 () (@list true)) % 6.34/6.55 (define @t6341 () (@list @t6339)) % 6.34/6.55 (define @t6342 () (= @t6331 @t6334)) % 6.34/6.55 (define @t6343 () (or @t6337 @t6342)) % 6.34/6.55 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 6.34/6.55 (assume @p2 (forall (@list @t10 @t9) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t9 @t10 @t9))) % 6.34/6.55 (assume @p3 @t16) % 6.34/6.55 (assume @p4 (forall (@list @t18 @t17) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t17 @t18 @t17))) % 6.34/6.55 (assume @p5 (forall (@list @t21 @t25 @t27 @t23 @t30) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t23 @t34) (forall @t29 (=> @t28 (forall @t26 (=> (tptp.c_Natural_Oevaln @t25 @t24 @t23 @t19) (tptp.hBOOL (tptp.hAPP @t22 @t19))))))))) % 6.34/6.55 (assume @p6 (forall (@list @t11 @t10 @t35) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t35 @t36 @t11) (tptp.c_Hoare__Mirabelle_Otriple__valid @t35 @t10 @t11)))) % 6.34/6.55 (assume @p7 (forall @t45 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 tptp.c_Com_Ocom_OSKIP) @t37))) % 6.34/6.55 (assume @p8 (forall @t45 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 tptp.c_Com_Ocom_OSKIP) @t37))) % 6.34/6.55 (assume @p9 (forall (@list @t48 @t52 @t30) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t30 @t52 @t48) (forall @t53 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t50 @t52)) @t47)) (forall @t8 (=> @t51 @t47))))))) % 6.34/6.55 (assume @p10 (forall (@list @t54 @t56 @t59 @t10 @t55 @t57) (=> (tptp.c_Natural_Oevaln @t57 @t55 @t10 @t59) (=> (tptp.c_Natural_Oevaln @t56 @t59 @t10 @t54) (tptp.c_Natural_Oevaln @t58 @t55 @t10 @t54))))) % 6.34/6.55 (assume @p11 (forall (@list @t63 @t60 @t23 @t62 @t61 @t64) (=> @t68 (=> (tptp.c_Natural_Oevaln @t62 @t61 @t23 @t60) @t66)))) % 6.34/6.55 (assume @p12 (forall (@list @t62 @t60 @t23 @t63 @t61 @t64) (=> @t67 (=> (tptp.c_Natural_Oevaln @t63 @t61 @t23 @t60) @t66)))) % 6.34/6.55 (assume @p13 (forall (@list @t69 @t23 @t61 @t70 @t62 @t64) (=> (tptp.c_Natural_Oevaln @t71 @t61 @t23 @t69) (=> (=> @t67 (not (tptp.c_Natural_Oevaln @t62 @t61 @t23 @t69))) (not (=> @t68 (not (tptp.c_Natural_Oevaln @t70 @t61 @t23 @t69)))))))) % 6.34/6.55 (assume @p14 (forall (@list @t70 @t62 @t64) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t71)) (not (=> @t72 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t70)))))))) % 6.34/6.55 (assume @p15 (forall (@list @t73 @t56) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t75)) (not (=> @t74 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t73)))))))) % 6.34/6.55 (assume @p16 (forall (@list @t76 @t77 @t78 @t80 @t81) (not (= @t82 @t79)))) % 6.34/6.55 (assume @p17 (forall (@list @t80 @t81 @t76 @t77 @t78) (not (= @t79 @t82)))) % 6.34/6.55 (assume @p18 (forall @t87 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t84 @t83))) @t86))) % 6.34/6.55 (assume @p19 (forall (@list @t83 @t84 @t88) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t88 @t84 @t83))) @t86))) % 6.34/6.55 (assume @p20 (forall (@list @t76 @t77 @t80 @t81) (= (= @t82 @t91) (and @t90 @t89)))) % 6.34/6.55 (assume @p21 (forall (@list @t76 @t77 @t78 @t80 @t81 @t92) (= (= @t94 @t79) (and @t93 @t90 @t89)))) % 6.34/6.55 (assume @p22 (forall (@list @t95 @t97 @t100 @t96 @t98 @t101 @t30) (= (= @t102 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t100) @t97) @t95)) (and (= @t101 @t100) @t99 (= @t96 @t95))))) % 6.34/6.55 (assume @p23 (forall @t104 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t82) @t103))) % 6.34/6.55 (assume @p24 (forall @t104 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t82) (tptp.hAPP (tptp.hAPP @t103 @t106) @t105)))) % 6.34/6.55 (assume @p25 (forall @t108 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t94) @t107))) % 6.34/6.55 (assume @p26 (forall @t108 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t94) (tptp.hAPP (tptp.hAPP @t107 @t106) @t105)))) % 6.34/6.55 (assume @p27 (forall (@list @t56 @t57) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t57)) (=> @t74 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t58)))))) % 6.34/6.55 (assume @p28 (forall (@list @t64 @t62 @t63) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t63)) (=> @t72 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t65)))))) % 6.34/6.55 (assume @p29 (forall (@list @t23 @t48 @t30) (=> (forall @t8 (=> @t51 (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t109 @t4))) (forall @t8 (=> @t51 (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t23 @t4)))))) % 6.34/6.55 (assume @p30 (forall (@list @t110 @t10 @t9 @t111) (=> (tptp.c_Natural_Oevaln @t111 @t9 @t10 @t110) (tptp.c_Natural_Oevaln @t111 @t9 @t36 @t110)))) % 6.34/6.55 (assume @p31 (forall (@list @t112 @t113 @t83 @t88 @t117 @t84) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t84 @t117 @t88) @t83 @t113 @t112) (or (and @t115 @t118) (and @t116 @t114))))) % 6.34/6.55 (assume @p32 (forall (@list @t112 @t113 @t83 @t117 @t88 @t84) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t84 @t88 @t117) @t83 @t113 @t112) (or (and @t115 @t114) (and @t116 @t118))))) % 6.34/6.55 (assume @p33 (forall (@list @t117 @t88 @t83 @t112 @t84) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi @t84 @t112) @t83 @t88 @t117) (exists @t120 (and (tptp.c_Natural_Oevaln @t84 @t83 @t88 @t119) (tptp.c_Natural_Oevaln @t112 @t119 @t88 @t117)))))) % 6.34/6.55 (assume @p34 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))) % 6.34/6.55 (assume @p35 (forall @t121 (not (= @t79 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p36 (forall @t121 (not (= tptp.c_Com_Ocom_OSKIP @t79)))) % 6.34/6.55 (assume @p37 (forall @t125 (not (= @t124 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p38 (forall @t125 (not (= tptp.c_Com_Ocom_OSKIP @t124)))) % 6.34/6.55 (assume @p39 (forall @t130 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t127 @t30 @t37 @t129) @t126))) % 6.34/6.55 (assume @p40 (forall @t130 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t127 @t30 @t37 @t129) @t126))) % 6.34/6.55 (assume @p41 (forall (@list @t11 @t10 @t9 @t73 @t56) (=> (tptp.c_Natural_Oevaln @t75 @t9 @t10 @t11) (not (forall @t120 (=> (tptp.c_Natural_Oevaln @t56 @t9 @t10 @t119) (not (tptp.c_Natural_Oevaln @t73 @t119 @t10 @t11)))))))) % 6.34/6.55 (assume @p42 (forall @t131 (not (= @t10 @t36)))) % 6.34/6.55 (assume @p43 (forall @t131 (not (= @t36 @t10)))) % 6.34/6.55 (assume @p44 (forall (@list @t132 @t133) (= (= @t134 (tptp.hAPP tptp.c_Nat_OSuc @t132)) (= @t133 @t132)))) % 6.34/6.55 (assume @p45 (forall @t138 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t136) (tptp.hAPP tptp.c_Nat_OSuc @t135)) @t137))) % 6.34/6.55 (assume @p46 (forall (@list @t25 @t140 @t141) (=> @t143 @t139))) % 6.34/6.55 (assume @p47 (forall @t148 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t147) @t146))) % 6.34/6.55 (assume @p48 (forall @t152 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t151) @t150))) % 6.34/6.55 (assume @p49 (forall (@list @t78 @t153 @t154 @t92 @t145) (not (= @t156 @t155)))) % 6.34/6.55 (assume @p50 (forall (@list @t97 @t78 @t157 @t92 @t145) (not (= @t156 @t158)))) % 6.34/6.55 (assume @p51 (forall (@list @t92 @t145 @t78 @t153 @t154) (not (= @t155 @t156)))) % 6.34/6.55 (assume @p52 (forall (@list @t92 @t145 @t97 @t78 @t157) (not (= @t158 @t156)))) % 6.34/6.55 (assume @p53 (forall (@list @t98 @t92 @t149 @t78 @t153 @t154) (not (= @t155 @t151)))) % 6.34/6.55 (assume @p54 (forall (@list @t78 @t153 @t154 @t98 @t92 @t149) (not (= @t151 @t155)))) % 6.34/6.55 (assume @p55 (forall (@list @t78 @t154 @t92 @t145) (= (= @t156 @t160) (and @t159 @t93)))) % 6.34/6.55 (assume @p56 (forall (@list @t78 @t153 @t154 @t92 @t144 @t145) (= (= @t147 @t155) (and @t159 @t161 @t93)))) % 6.34/6.55 (assume @p57 (forall (@list @t97 @t78 @t157 @t98 @t92 @t149) (= (= @t151 @t158) (and @t162 @t93 @t99)))) % 6.34/6.55 (assume @p58 (forall @t87 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t163)))) % 6.34/6.55 (assume @p59 (forall (@list @t140 @t164) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t165)))) % 6.34/6.55 (assume @p60 (forall (@list @t140 @t141 @t25) (=> @t139 @t143))) % 6.34/6.55 (assume @p61 (forall (@list @t84 @t88 @t83) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t83 @t88 @t84))) @t85))) % 6.34/6.55 (assume @p62 (forall (@list @t92 @t145 @t76 @t77 @t78) (not (= @t79 @t156)))) % 6.34/6.55 (assume @p63 (forall (@list @t76 @t77 @t78 @t92 @t145) (not (= @t156 @t79)))) % 6.34/6.55 (assume @p64 (forall (@list @t76 @t77 @t78 @t98 @t92 @t149) (not (= @t151 @t79)))) % 6.34/6.55 (assume @p65 (forall (@list @t98 @t92 @t149 @t76 @t77 @t78) (not (= @t79 @t151)))) % 6.34/6.55 (assume @p66 (forall (@list @t78 @t153 @t154 @t80 @t81 @t92) (not (= @t94 @t155)))) % 6.34/6.55 (assume @p67 (forall (@list @t80 @t81 @t92 @t78 @t153 @t154) (not (= @t155 @t94)))) % 6.34/6.55 (assume @p68 (forall (@list @t92 @t145 @t76 @t77) (not (= @t91 @t156)))) % 6.34/6.55 (assume @p69 (forall (@list @t76 @t77 @t92 @t145) (not (= @t156 @t91)))) % 6.34/6.55 (assume @p70 (forall @t166 (not (= tptp.c_Com_Ocom_OSKIP @t160)))) % 6.34/6.55 (assume @p71 (forall @t166 (not (= @t160 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p72 (forall (@list @t76 @t77 @t98 @t92 @t149) (not (= @t151 @t91)))) % 6.34/6.55 (assume @p73 (forall (@list @t80 @t81 @t78 @t153 @t154) (not (= @t155 @t82)))) % 6.34/6.55 (assume @p74 (forall (@list @t98 @t92 @t149 @t76 @t77) (not (= @t91 @t151)))) % 6.34/6.55 (assume @p75 (forall (@list @t78 @t153 @t154 @t80 @t81) (not (= @t82 @t155)))) % 6.34/6.55 (assume @p76 (forall @t167 (not (= tptp.c_Com_Ocom_OSKIP @t155)))) % 6.34/6.55 (assume @p77 (forall @t168 (not (= tptp.c_Com_Ocom_OSKIP @t158)))) % 6.34/6.55 (assume @p78 (forall @t167 (not (= @t155 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p79 (forall @t168 (not (= @t158 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p80 (forall @t170 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t156) @t169))) % 6.34/6.55 (assume @p81 (forall @t152 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t151) (tptp.hAPP @t150 @t171)))) % 6.34/6.55 (assume @p82 (forall @t148 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t147) @t146))) % 6.34/6.55 (assume @p83 (forall @t170 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t156) @t169))) % 6.34/6.55 (assume @p84 (forall (@list @t23 @t61 @t140 @t164) (tptp.c_Natural_Oevaln @t165 @t61 @t23 @t174))) % 6.34/6.55 (assume @p85 (forall (@list @t69 @t23 @t61 @t140 @t164) (=> (tptp.c_Natural_Oevaln @t165 @t61 @t23 @t69) @t175))) % 6.34/6.55 (assume @p86 (forall (@list @t140 @t27 @t164) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t177)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t176))))) % 6.34/6.55 (assume @p87 (forall (@list @t178 @t23 @t179 @t30) (=> @t180 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t30 @t179 @t109 @t178) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t30 @t179 @t23 (tptp.hAPP @t179 @t178)))))) % 6.34/6.55 (assume @p88 (forall @t182 (tptp.c_Natural_Oevaln @t163 @t88 @t113 @t181))) % 6.34/6.55 (assume @p89 (forall (@list @t140 @t164 @t183) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t185)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t184))))) % 6.34/6.55 (assume @p90 (forall (@list @t88 @t84 @t83) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t83 @t84 @t88))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t186))))) % 6.34/6.55 (assume @p91 (forall @t188 (= (tptp.c_Nat_Onat_Onat__case @t30 @t37 @t44 @t134) @t187))) % 6.34/6.55 (assume @p92 (forall @t188 (= (tptp.hAPP @t189 @t134) (tptp.hAPP @t187 (tptp.hAPP @t189 @t133))))) % 6.34/6.55 (assume @p93 (forall (@list @t25 @t64) (=> @t191 @t139))) % 6.34/6.55 (assume @p94 (forall @t194 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t193) @t192))) % 6.34/6.55 (assume @p95 (forall (@list @t23 @t25 @t61 @t64) (=> @t68 (tptp.c_Natural_Oevaln @t190 @t61 @t23 @t61)))) % 6.34/6.55 (assume @p96 (forall (@list @t195 @t60 @t23 @t25 @t196 @t64) (=> @t197 (=> (tptp.c_Natural_Oevaln @t25 @t196 @t23 @t60) (=> (tptp.c_Natural_Oevaln @t190 @t60 @t23 @t195) (tptp.c_Natural_Oevaln @t190 @t196 @t23 @t195)))))) % 6.34/6.55 (assume @p97 (forall (@list @t97 @t78 @t98 @t92) (= (= @t193 @t198) (and @t93 @t99)))) % 6.34/6.55 (assume @p98 (forall (@list @t153 @t144) (= (= @t200 @t199) @t161))) % 6.34/6.55 (assume @p99 (forall (@list @t153 @t98 @t92) (not (= @t193 @t199)))) % 6.34/6.55 (assume @p100 (forall (@list @t98 @t92 @t153) (not (= @t199 @t193)))) % 6.34/6.55 (assume @p101 (forall (@list @t117 @t113 @t83 @t88 @t84) (= (tptp.c_Natural_Oevaln @t201 @t83 @t113 @t117) (or (and (= @t117 @t83) @t116) (and @t115 (exists @t120 (and @t202 (tptp.c_Natural_Oevaln @t201 @t119 @t113 @t117)))))))) % 6.34/6.55 (assume @p102 (forall (@list @t113 @t83 @t88 @t84) (= (tptp.c_Natural_Oevaln @t201 @t83 @t113 @t83) (=> @t115 (exists @t120 (and @t202 (tptp.c_Natural_Oevaln @t201 @t119 @t113 @t83))))))) % 6.34/6.55 (assume @p103 (forall (@list @t80 @t81 @t92 @t153) (not (= @t199 @t94)))) % 6.34/6.55 (assume @p104 (forall (@list @t153 @t80 @t81 @t92) (not (= @t94 @t199)))) % 6.34/6.55 (assume @p105 (forall (@list @t153 @t92 @t145) (not (= @t156 @t199)))) % 6.34/6.55 (assume @p106 (forall (@list @t92 @t145 @t153) (not (= @t199 @t156)))) % 6.34/6.55 (assume @p107 (forall (@list @t84 @t83) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OWhile @t83 @t84))) @t85))) % 6.34/6.55 (assume @p108 (forall (@list @t64 @t25) (=> @t139 @t191))) % 6.34/6.55 (assume @p109 (forall (@list @t203 @t204 @t206) (not (= @t207 @t205)))) % 6.34/6.55 (assume @p110 (forall (@list @t206 @t203 @t204) (not (= @t205 @t207)))) % 6.34/6.55 (assume @p111 (forall (@list @t153 @t98 @t92 @t149) (not (= @t151 @t199)))) % 6.34/6.55 (assume @p112 (forall (@list @t144 @t78 @t153 @t154) (not (= @t155 @t200)))) % 6.34/6.55 (assume @p113 (forall (@list @t98 @t92 @t149 @t153) (not (= @t199 @t151)))) % 6.34/6.55 (assume @p114 (forall (@list @t78 @t153 @t154 @t144) (not (= @t200 @t155)))) % 6.34/6.55 (assume @p115 (forall @t208 (not (= @t207 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p116 (forall @t208 (not (= tptp.c_Com_Ocom_OSKIP @t207)))) % 6.34/6.55 (assume @p117 (forall (@list @t80 @t81 @t92 @t97 @t78) (not (= @t198 @t94)))) % 6.34/6.55 (assume @p118 (forall (@list @t97 @t78 @t80 @t81 @t92) (not (= @t94 @t198)))) % 6.34/6.55 (assume @p119 (forall (@list @t92 @t145 @t97 @t78) (not (= @t198 @t156)))) % 6.34/6.55 (assume @p120 (forall (@list @t97 @t78 @t92 @t145) (not (= @t156 @t198)))) % 6.34/6.55 (assume @p121 (forall (@list @t97 @t78 @t80 @t81) (not (= @t82 @t198)))) % 6.34/6.55 (assume @p122 (forall (@list @t80 @t81 @t97 @t78) (not (= @t198 @t82)))) % 6.34/6.55 (assume @p123 (forall (@list @t97 @t78 @t98 @t92 @t149) (not (= @t151 @t198)))) % 6.34/6.55 (assume @p124 (forall (@list @t98 @t92 @t78 @t153 @t154) (not (= @t155 @t193)))) % 6.34/6.55 (assume @p125 (forall (@list @t98 @t92 @t149 @t97 @t78) (not (= @t198 @t151)))) % 6.34/6.55 (assume @p126 (forall (@list @t78 @t153 @t154 @t98 @t92) (not (= @t193 @t155)))) % 6.34/6.55 (assume @p127 (forall @t209 (not (= @t198 tptp.c_Com_Ocom_OSKIP)))) % 6.34/6.55 (assume @p128 (forall @t209 (not (= tptp.c_Com_Ocom_OSKIP @t198)))) % 6.34/6.55 (assume @p129 (forall @t211 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t200) @t210))) % 6.34/6.55 (assume @p130 (forall @t194 (= (tptp.c_Com_Ocom_Ocom__rec @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t193) (tptp.hAPP @t192 @t171)))) % 6.34/6.55 (assume @p131 (forall @t211 (= (tptp.c_Com_Ocom_Ocom__case @t30 @t37 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t200) @t210))) % 6.34/6.55 (assume @p132 (forall (@list @t21 @t183 @t27 @t30) (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t214 @t213))) % 6.34/6.55 (assume @p133 (forall (@list @t21 @t183 @t27 @t23 @t30) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t23 @t216) (tptp.c_Hoare__Mirabelle_Otriple__valid @t30 @t109 @t213)))) % 6.34/6.55 (assume @p134 (forall (@list @t23 @t218 @t25 @t30 @t2) (=> @t221 (= @t219 (tptp.hAPP (tptp.hAPP @t218 @t23) @t217))))) % 6.34/6.55 (assume @p135 (forall (@list @t69 @t61 @t140 @t164) (=> (tptp.hBOOL (tptp.hAPP @t222 @t69)) @t175))) % 6.34/6.55 (assume @p136 (forall (@list @t61 @t140 @t164) (tptp.hBOOL (tptp.hAPP @t222 @t174)))) % 6.34/6.55 (assume @p137 (forall (@list @t69 @t23 @t61 @t25 @t64) (=> (tptp.c_Natural_Oevaln @t190 @t61 @t23 @t69) (=> @t223 (not (=> @t67 (forall @t120 (=> (tptp.c_Natural_Oevaln @t25 @t61 @t23 @t119) (not (tptp.c_Natural_Oevaln @t190 @t119 @t23 @t69)))))))))) % 6.34/6.55 (assume @p138 (forall (@list @t59 @t10 @t55 @t224) (=> (tptp.c_Natural_Oevaln @t227 @t55 @t10 @t59) (tptp.c_Natural_Oevaln @t225 @t55 @t36 @t59)))) % 6.34/6.55 (assume @p139 (forall @t228 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t163) @t88) @t181)))) % 6.34/6.55 (assume @p140 (forall (@list @t60 @t23 @t140 @t141 @t196 @t25) (=> (tptp.c_Natural_Oevaln @t25 @t233 @t23 @t60) (tptp.c_Natural_Oevaln @t142 @t196 @t23 @t231)))) % 6.34/6.55 (assume @p141 (forall @t182 (= (tptp.c_Natural_Oevaln @t186 @t83 (tptp.hAPP tptp.c_Nat_OSuc @t88) @t113) (tptp.c_Natural_Oevaln @t234 @t83 @t88 @t113)))) % 6.34/6.55 (assume @p142 (forall (@list @t117 @t112 @t83 @t84 @t113 @t88) (= (tptp.c_Natural_Oevaln @t242 @t83 @t112 @t241) (exists @t120 (and (= @t241 @t240) (tptp.c_Natural_Oevaln @t84 @t236 @t112 @t119)))))) % 6.34/6.55 (assume @p143 (forall (@list @t25 @t61 @t64) (=> @t68 (tptp.hBOOL (tptp.hAPP @t244 @t61))))) % 6.34/6.55 (assume @p144 (forall (@list @t195 @t60 @t25 @t196 @t64) (=> @t197 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t245 @t196) @t60)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t60) @t195)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t196) @t195))))))) % 6.34/6.55 (assume @p145 (forall (@list @t69 @t61 @t70 @t62 @t64) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t71) @t61) @t69)) (=> (=> @t67 (not (tptp.hBOOL (tptp.hAPP @t246 @t69)))) (not (=> @t68 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t70) @t61) @t69))))))))) % 6.34/6.55 (assume @p146 (forall (@list @t62 @t60 @t63 @t61 @t64) (=> @t67 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t63) @t61) @t60)) @t247)))) % 6.34/6.55 (assume @p147 (forall (@list @t63 @t60 @t62 @t61 @t64) (=> @t68 (=> (tptp.hBOOL (tptp.hAPP @t246 @t60)) @t247)))) % 6.34/6.55 (assume @p148 (forall (@list @t54 @t56 @t59 @t55 @t57) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t57) @t55) @t59)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t59) @t54)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t58) @t55) @t54)))))) % 6.34/6.55 (assume @p149 (forall (@list @t9) (tptp.hBOOL (tptp.hAPP @t250 @t9)))) % 6.34/6.55 (assume @p150 (forall @t251 (=> (tptp.hBOOL (tptp.hAPP @t250 @t11)) @t12))) % 6.34/6.55 (assume @p151 (forall (@list @t59 @t9 @t252) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t255) @t9) @t59)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t254) @t9) @t59))))) % 6.34/6.55 (assume @p152 (forall (@list @t59 @t55 @t224) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t227) @t55) @t59)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t225) @t55) @t59))))) % 6.34/6.55 (assume @p153 (forall (@list @t60 @t140 @t141 @t196 @t25) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t245 @t233) @t60)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t256 @t196) @t231))))) % 6.34/6.55 (assume @p154 (forall (@list @t157 @t149) (= (= @t257 (tptp.c_Com_Ovname_OLoc @t157)) @t162))) % 6.34/6.55 (assume @p155 (forall (@list @t258 @t11 @t9 @t111) (=> @t260 (=> (tptp.hBOOL (tptp.hAPP @t259 @t258)) (= @t258 @t11))))) % 6.34/6.55 (assume @p156 (forall @t228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t261 @t83) @t88)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t234) @t83) @t88))))) % 6.34/6.55 (assume @p157 (forall (@list @t112 @t83 @t84 @t113 @t88) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t242) @t83) @t263)) (exists @t120 (and (= @t263 @t240) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t262 @t236) @t119))))))) % 6.34/6.55 (assume @p158 (forall @t266 (not (= @t265 @t214)))) % 6.34/6.55 (assume @p159 (forall @t266 (not (= @t214 @t265)))) % 6.34/6.55 (assume @p160 (forall (@list @t267) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t267) @t214)))) % 6.34/6.55 (assume @p161 (forall (@list @t268) (not (= @t214 (tptp.hAPP tptp.c_Nat_OSuc @t268))))) % 6.34/6.55 (assume @p162 (forall (@list @t69 @t61 @t25) (= (tptp.hBOOL (tptp.hAPP @t269 @t69)) (exists @t53 (tptp.c_Natural_Oevaln @t25 @t61 @t46 @t69))))) % 6.34/6.55 (assume @p163 (forall (@list @t11 @t10 @t9 @t111) (=> @t270 @t260))) % 6.34/6.55 (assume @p164 (forall (@list @t83 @t88 @t84) (= (tptp.hBOOL (tptp.hAPP @t275 @t83)) (=> @t115 (exists @t120 (and @t274 (tptp.hBOOL (tptp.hAPP @t272 @t83)))))))) % 6.34/6.55 (assume @p165 (forall (@list @t112 @t83 @t88 @t84) (= (tptp.hBOOL (tptp.hAPP @t275 @t112)) (or (and (= @t112 @t83) @t116) (and @t115 (exists @t120 (and @t274 (tptp.hBOOL (tptp.hAPP @t272 @t112))))))))) % 6.34/6.55 (assume @p166 (forall (@list @t113 @t83 @t88 @t112 @t84) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t84 @t112 @t88)) @t83) @t113)) (or (and @t115 @t277) (and @t116 @t276))))) % 6.34/6.55 (assume @p167 (forall (@list @t113 @t83 @t112 @t88 @t84) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t84 @t88 @t112)) @t83) @t113)) (or (and @t115 @t276) (and @t116 @t277))))) % 6.34/6.55 (assume @p168 (forall (@list @t112 @t83 @t113 @t84) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi @t84 @t113)) @t83) @t112)) (exists @t120 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t262 @t83) @t119)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t113) @t119) @t112))))))) % 6.34/6.55 (assume @p169 (forall @t279 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t249 @t278) @t278)))) % 6.34/6.55 (assume @p170 (forall @t280 (= (tptp.c_Nat_Onat_Onat__case @t30 @t37 @t44 @t214) @t37))) % 6.34/6.55 (assume @p171 (forall @t280 (= (tptp.hAPP @t189 @t214) @t37))) % 6.34/6.55 (assume @p172 (forall (@list @t178 @t179 @t30) (=> @t180 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t30 @t179 @t214 @t178) @t178)))) % 6.34/6.55 (assume @p173 (forall (@list @t96 @t98 @t101 @t281 @t30) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t30 @t281 @t102) @t214))) % 6.34/6.55 (assume @p174 (forall @t284 (= (tptp.c_Com_Ovname_Ovname__size @t283) @t214))) % 6.34/6.55 (assume @p175 (forall (@list @t96 @t98 @t101 @t30) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t49) @t102) @t214))) % 6.34/6.55 (assume @p176 (forall (@list @t59 @t10 @t9 @t252) (=> (tptp.c_Natural_Oevaln @t255 @t9 @t10 @t59) (not (forall @t53 (=> (= @t10 @t285) (not (tptp.c_Natural_Oevaln @t254 @t9 @t46 @t59)))))))) % 6.34/6.55 (assume @p177 (forall (@list @t69 @t61 @t25 @t140 @t141) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t256 @t61) @t69)) (not (forall @t120 (=> @t288 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t245 @t286) @t119))))))))) % 6.34/6.55 (assume @p178 (forall (@list @t69 @t23 @t61 @t25 @t140 @t141) (=> (tptp.c_Natural_Oevaln @t142 @t61 @t23 @t69) (not (forall @t120 (=> @t288 (not (tptp.c_Natural_Oevaln @t25 @t286 @t23 @t119)))))))) % 6.34/6.55 (assume @p179 (forall @t284 (= (tptp.hAPP @t289 @t283) @t214))) % 6.34/6.55 (assume @p180 (forall @t291 (= (tptp.c_Com_Ovname_Ovname__rec @t30 @t37 @t44 @t257) @t290))) % 6.34/6.55 (assume @p181 (forall @t291 (= (tptp.c_Com_Ovname_Ovname__case @t30 @t37 @t44 @t257) @t290))) % 6.34/6.55 (assume @p182 (forall (@list @t11 @t9 @t73 @t56) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t75) @t9) @t11)) (not (forall @t120 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t9) @t119)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t73) @t119) @t11))))))))) % 6.34/6.55 (assume @p183 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t214)) % 6.34/6.55 (assume @p184 (forall @t294 (= (tptp.c_Com_Ocom_Ocom__size @t293) @t214))) % 6.34/6.55 (assume @p185 (forall @t295 (= (tptp.c_Com_Ocom_Ocom__size @t156) @t214))) % 6.34/6.55 (assume @p186 (forall @t296 (= (tptp.c_Com_Ocom_Ocom__size @t147) @t214))) % 6.34/6.55 (assume @p187 (forall @t299 (= (tptp.hAPP @t289 @t298) @t214))) % 6.34/6.55 (assume @p188 (forall @t299 (= (tptp.c_Com_Ovname_Ovname__size @t298) @t214))) % 6.34/6.55 (assume @p189 (forall @t302 (= (tptp.c_Com_Ocom_Ocom__size @t205) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Com_Ocom_Ocom__size @t204)) (tptp.c_Com_Ocom_Ocom__size @t203))) @t300)))) % 6.34/6.55 (assume @p190 (forall @t304 (= (tptp.c_Com_Ocom_Ocom__size @t151) @t303))) % 6.34/6.55 (assume @p191 (forall @t305 (= (tptp.c_Com_Ocom_Ocom__size @t94) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Com_Ocom_Ocom__size @t81)) (tptp.c_Com_Ocom_Ocom__size @t80))) @t300)))) % 6.34/6.55 (assume @p192 (forall @t306 (= (tptp.c_Com_Ocom_Ocom__size @t193) @t303))) % 6.34/6.55 (assume @p193 (forall @t310 (= (tptp.c_Com_Ovname_Ovname__case @t30 @t37 @t44 @t309) @t308))) % 6.34/6.55 (assume @p194 (forall @t310 (= (tptp.c_Com_Ovname_Ovname__rec @t30 @t37 @t44 @t309) @t308))) % 6.34/6.55 (assume @p195 (= (tptp.hAPP @t311 tptp.c_Com_Ocom_OSKIP) @t214)) % 6.34/6.55 (assume @p196 (forall @t296 (= (tptp.hAPP @t311 @t147) @t214))) % 6.34/6.55 (assume @p197 (forall @t295 (= (tptp.hAPP @t311 @t156) @t214))) % 6.34/6.55 (assume @p198 (forall @t316 (= @t315 @t313))) % 6.34/6.55 (assume @p199 (forall @t321 (= (tptp.hAPP @t318 @t320) (tptp.hAPP @t319 (tptp.hAPP @t318 @t317))))) % 6.34/6.55 (assume @p200 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t301 @t315) @t322) (tptp.hAPP @t314 @t323)))) % 6.34/6.55 (assume @p201 (forall @t331 (= (= @t330 @t329) @t326))) % 6.34/6.55 (assume @p202 (forall @t336 (= (= @t335 @t333) @t326))) % 6.34/6.55 (assume @p203 (forall (@list @t337 @t307) (= (= @t309 (tptp.c_Com_Ovname_OGlb @t337)) (= @t307 @t337)))) % 6.34/6.55 (assume @p204 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t301 @t214) @t10) @t10))) % 6.34/6.55 (assume @p205 (forall @t266 (= (tptp.hAPP @t314 @t214) @t264))) % 6.34/6.55 (assume @p206 (forall @t341 (= (= @t340 @t214) (and @t339 @t338)))) % 6.34/6.55 (assume @p207 (forall @t316 (=> (= @t315 @t264) @t342))) % 6.34/6.55 (assume @p208 (forall @t316 (= @t344 @t343))) % 6.34/6.55 (assume @p209 (forall @t316 (= @t344 @t345))) % 6.34/6.55 (assume @p210 (forall @t316 (= @t343 @t345))) % 6.34/6.55 (assume @p211 (forall @t306 (= (tptp.hAPP @t311 @t193) @t346))) % 6.34/6.55 (assume @p212 (forall @t305 (= (tptp.hAPP @t311 @t94) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t311 @t81)) (tptp.hAPP @t311 @t80))) @t300)))) % 6.34/6.55 (assume @p213 (forall @t304 (= (tptp.hAPP @t311 @t151) @t346))) % 6.34/6.55 (assume @p214 (forall @t302 (= (tptp.hAPP @t311 @t205) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t311 @t204)) (tptp.hAPP @t311 @t203))) @t300)))) % 6.34/6.55 (assume @p215 (forall @t341 (= (= @t300 @t340) @t349))) % 6.34/6.55 (assume @p216 (forall @t341 (= (= @t340 @t300) @t349))) % 6.34/6.55 (assume @p217 (forall (@list @t350 @t297) (not (= @t298 @t351)))) % 6.34/6.55 (assume @p218 (forall (@list @t297 @t350) (not (= @t351 @t298)))) % 6.34/6.55 (assume @p219 (forall @t294 (= (tptp.hAPP @t311 @t293) @t214))) % 6.34/6.55 (assume @p220 (forall @t359 (=> @t358 @t357))) % 6.34/6.55 (assume @p221 (forall @t363 (=> @t362 (= (= @t64 @t361) @t353)))) % 6.34/6.55 (assume @p222 (forall @t369 (=> @t368 @t367))) % 6.34/6.55 (assume @p223 (forall @t369 (=> @t370 @t367))) % 6.34/6.55 (assume @p224 (forall @t369 (=> @t371 @t367))) % 6.34/6.55 (assume @p225 (forall @t359 (=> @t358 (= (= @t352 @t356) @t353)))) % 6.34/6.55 (assume @p226 (forall @t369 (=> @t368 @t373))) % 6.34/6.55 (assume @p227 (forall @t369 (=> @t370 @t373))) % 6.34/6.55 (assume @p228 (forall @t369 (=> @t371 @t373))) % 6.34/6.55 (assume @p229 (forall @t376 (= (tptp.c_Nat_Onat_Onat__size @t375) (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Nat_Onat_Onat__size @t374)) @t300)))) % 6.34/6.55 (assume @p230 (forall @t376 (= (tptp.hAPP @t377 @t375) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t377 @t374)) @t300)))) % 6.34/6.55 (assume @p231 (forall @t131 (= (tptp.hAPP @t377 @t10) @t10))) % 6.34/6.55 (assume @p232 (= (tptp.hAPP @t377 @t214) @t214)) % 6.34/6.55 (assume @p233 (= (tptp.c_Nat_Onat_Onat__size @t214) @t214)) % 6.34/6.55 (assume @p234 (forall @t380 (=> (tptp.class_Groups_Ozero @t30) (= (= @t352 @t378) @t379)))) % 6.34/6.55 (assume @p235 (forall (@list @t111 @t278 @t35) (=> @t370 (= @t383 @t382)))) % 6.34/6.55 (assume @p236 (forall @t387 (=> @t370 (= @t386 (tptp.hAPP @t381 (tptp.hAPP @t366 @t384)))))) % 6.34/6.55 (assume @p237 (forall @t387 (=> @t370 (= @t386 (tptp.hAPP @t388 @t384))))) % 6.34/6.55 (assume @p238 (forall @t396 (=> @t370 @t395))) % 6.34/6.55 (assume @p239 (forall @t396 (=> (tptp.class_Groups_Oab__semigroup__add @t35) @t395))) % 6.34/6.55 (assume @p240 (forall @t396 (=> @t370 (= @t394 (tptp.hAPP @t388 @t389))))) % 6.34/6.55 (assume @p241 (forall @t401 (=> @t400 (= (= @t399 @t398) @t397)))) % 6.34/6.55 (assume @p242 (forall (@list @t25 @t140 @t64 @t30) (=> @t400 (= (= @t361 @t403) @t397)))) % 6.34/6.55 (assume @p243 (forall @t405 (=> @t370 (= (tptp.hAPP @t393 @t385) (tptp.hAPP @t388 @t404))))) % 6.34/6.55 (assume @p244 (forall @t396 (=> @t408 @t407))) % 6.34/6.55 (assume @p245 (forall @t396 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t35) @t407))) % 6.34/6.55 (assume @p246 (forall @t410 (=> @t408 (=> (= @t409 @t382) @t406)))) % 6.34/6.55 (assume @p247 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t214)) % 6.34/6.55 (assume @p248 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t214)) % 6.34/6.55 (assume @p249 (= (tptp.hAPP @t411 tptp.c_fTrue) @t214)) % 6.34/6.55 (assume @p250 (= (tptp.hAPP @t411 tptp.c_fFalse) @t214)) % 6.34/6.55 (assume @p251 (forall (@list @t224) (=> (not (= @t226 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t225))))) % 6.34/6.55 (assume @p252 (forall @t416 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t140))) (exists @t415 (= (tptp.hAPP tptp.c_Com_Obody @t140) @t414))))) % 6.34/6.55 (assume @p253 (forall (@list @t164 @t60 @t140 @t196 @t183) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t185) @t419) @t60)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t184) @t196) @t417))))) % 6.34/6.55 (assume @p254 (forall (@list @t164 @t60 @t23 @t140 @t196 @t183) (=> (tptp.c_Natural_Oevaln @t185 @t419 @t23 @t60) (tptp.c_Natural_Oevaln @t184 @t196 @t23 @t417)))) % 6.34/6.55 (assume @p255 (forall (@list @t218 @t25 @t30 @t2) (=> @t221 (= @t420 @t25)))) % 6.34/6.55 (assume @p256 (forall (@list @t113 @t83 @t88 @t84 @t112) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCall @t112 @t84 @t88)) @t83) @t425)) (exists @t120 (and (= @t425 (tptp.hAPP (tptp.hAPP @t424 @t112) @t422)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t261 @t421) @t119))))))) % 6.34/6.55 (assume @p257 (forall (@list @t112 @t113 @t83 @t88 @t84 @t117) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCall @t117 @t84 @t88) @t83 @t113 @t426) (exists @t120 (and (= @t426 (tptp.hAPP (tptp.hAPP @t424 @t117) @t422)) (tptp.c_Natural_Oevaln @t186 @t421 @t113 @t119)))))) % 6.34/6.55 (assume @p258 (forall (@list @t60 @t61 @t140 @t27 @t164) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t177) @t61) @t60)) (not (forall @t120 (=> @t428 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t176) @t427) @t119))))))))) % 6.34/6.55 (assume @p259 (forall (@list @t60 @t23 @t61 @t140 @t27 @t164) (=> (tptp.c_Natural_Oevaln @t177 @t61 @t23 @t60) (not (forall @t120 (=> @t428 (not (tptp.c_Natural_Oevaln @t176 @t427 @t23 @t119)))))))) % 6.34/6.55 (assume @p260 (forall (@list @t389 @t224) (=> tptp.c_Com_OWT__bodies (=> (= @t226 (tptp.hAPP @t413 @t389)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t389)))))) % 6.34/6.55 (assume @p261 (forall (@list @t140 @t281 @t30) (= (tptp.c_Option_Ooption_Ooption__size @t30 @t281 @t432) @t430))) % 6.34/6.55 (assume @p262 (forall @t434 (= (tptp.c_Option_Ooption_Ooption__size @t30 @t281 @t433) @t214))) % 6.34/6.55 (assume @p263 (forall (@list @t252) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t255)) (not (forall @t415 (not (= @t253 @t414))))))) % 6.34/6.55 (assume @p264 (forall @t436 (= (tptp.hAPP (tptp.c_Option_Othe @t35) (tptp.hAPP @t435 @t136)) @t136))) % 6.34/6.55 (assume @p265 (forall @t439 (= (not @t438) (exists @t415 @t437)))) % 6.34/6.55 (assume @p266 (forall @t439 (= (forall @t415 (not @t437)) @t438))) % 6.34/6.55 (assume @p267 (forall @t443 (not (= @t442 @t440)))) % 6.34/6.55 (assume @p268 (forall @t443 (not (= @t440 @t442)))) % 6.34/6.55 (assume @p269 (forall (@list @t444 @t140 @t30) (= (= @t432 (tptp.hAPP @t431 @t444)) @t445))) % 6.34/6.55 (assume @p270 (forall @t369 (= (tptp.hAPP @t446 (tptp.hAPP @t435 @t278)) @t214))) % 6.34/6.55 (assume @p271 (forall @t447 (= (tptp.hAPP @t446 @t440) @t214))) % 6.34/6.55 (assume @p272 (forall @t451 (= (tptp.c_Option_Ooption_Ooption__rec @t30 @t127 @t37 @t44 @t450) @t448))) % 6.34/6.55 (assume @p273 (forall @t451 (= (tptp.hAPP @t452 @t450) @t448))) % 6.34/6.55 (assume @p274 (forall @t454 (= (tptp.c_Option_Ooption_Ooption__rec @t30 @t127 @t37 @t44 @t453) @t37))) % 6.34/6.55 (assume @p275 (forall @t454 (= (tptp.hAPP @t452 @t453) @t37))) % 6.34/6.55 (assume @p276 (forall (@list @t136 @t30) (not (tptp.c_Option_Ois__none @t30 (tptp.hAPP @t431 @t136))))) % 6.34/6.55 (assume @p277 (forall @t447 (tptp.c_Option_Ois__none @t35 @t440))) % 6.34/6.55 (assume @p278 (forall @t380 (= (tptp.c_Option_Ois__none @t30 @t378) @t438))) % 6.34/6.55 (assume @p279 (forall (@list @t69 @t61 @t25 @t64) (=> (tptp.hBOOL (tptp.hAPP @t244 @t69)) (=> @t223 (not (=> @t67 (forall @t120 (=> (tptp.hBOOL (tptp.hAPP @t269 @t119)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t119) @t69))))))))))) % 6.34/6.55 (assume @p280 (forall (@list @t64 @t140 @t455 @t281 @t127 @t30) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t30 @t127 @t281 @t455 @t457) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t429 @t456)) @t300)))) % 6.34/6.55 (assume @p281 (forall @t461 (= (= @t457 (tptp.c_Nitpick_Opair__box_OPairBox @t30 @t127 @t444 @t458)) @t460))) % 6.34/6.55 (assume @p282 (forall @t462 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t35 @t30)) (tptp.c_Nitpick_Opair__box_OPairBox @t35 @t30 @t278 @t389)) @t214))) % 6.34/6.55 (assume @p283 (forall @t467 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t127 @t465 @t30 @t37 @t466) @t464))) % 6.34/6.55 (assume @p284 (forall @t467 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t127 @t465 @t30 @t37 @t466) @t464))) % 6.34/6.55 (assume @p285 (forall (@list @t11 @t9 @t111) (=> @t260 (exists @t53 (tptp.c_Natural_Oevaln @t111 @t9 @t46 @t11))))) % 6.34/6.55 (assume @p286 (forall (@list @t140 @t455 @t281 @t127 @t30) (= (tptp.c_Sum__Type_Osum_Osum__size @t30 @t127 @t281 @t455 @t469) @t430))) % 6.34/6.55 (assume @p287 (forall (@list @t64 @t455 @t281 @t127 @t30) (= (tptp.c_Sum__Type_Osum_Osum__size @t30 @t127 @t281 @t455 @t471) (tptp.hAPP (tptp.hAPP @t301 @t456) @t300)))) % 6.34/6.55 (assume @p288 (forall (@list @t35 @t135) (=> (not (= @t135 @t440)) (not (forall @t473 (not (= @t135 (tptp.hAPP @t435 @t472)))))))) % 6.34/6.55 (assume @p289 (forall @t131 (tptp.hBOOL (tptp.hAPP @t475 @t36)))) % 6.34/6.55 (assume @p290 (forall @t131 (=> @t480 @t479))) % 6.34/6.55 (assume @p291 (forall @t486 (=> @t485 (=> (forall @t53 (=> @t484 @t483)) @t482)))) % 6.34/6.55 (assume @p292 (forall (@list @t327 @t27) (=> (tptp.hBOOL @t487) (=> (forall @t53 (=> @t483 @t484)) @t485)))) % 6.34/6.55 (assume @p293 (forall @t131 (not (tptp.hBOOL (tptp.hAPP @t488 @t214))))) % 6.34/6.55 (assume @p294 (forall @t131 (tptp.hBOOL (tptp.hAPP @t488 @t36)))) % 6.34/6.55 (assume @p295 (forall @t316 (=> @t492 @t490))) % 6.34/6.55 (assume @p296 (forall (@list @t27 @t23 @t325) (=> (=> @t497 @t493) (=> (=> @t326 @t493) (=> (=> @t495 @t493) @t493))))) % 6.34/6.55 (assume @p297 (forall @t251 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t9) @t11)) (not @t498)))) % 6.34/6.55 (assume @p298 (forall @t502 (=> @t501 @t500))) % 6.34/6.55 (assume @p299 (forall @t131 (not (tptp.hBOOL (tptp.hAPP @t488 @t10))))) % 6.34/6.55 (assume @p300 (forall @t138 (=> @t505 (=> (not @t504) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t135) @t136)))))) % 6.34/6.55 (assume @p301 (forall @t341 (= @t506 (or @t497 @t495)))) % 6.34/6.55 (assume @p302 (forall @t512 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t398) @t510)) @t509)))) % 6.34/6.55 (assume @p303 (forall @t514 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t403) @t513)) @t509)))) % 6.34/6.55 (assume @p304 (forall @t396 (=> @t520 (=> @t519 @t517)))) % 6.34/6.55 (assume @p305 (forall @t396 (=> @t520 (=> @t519 @t522)))) % 6.34/6.55 (assume @p306 (forall @t405 (=> @t520 (=> @t519 @t526)))) % 6.34/6.55 (assume @p307 (forall @t528 (=> @t527 (=> @t517 @t519)))) % 6.34/6.55 (assume @p308 (forall @t529 (=> @t527 (=> @t522 @t519)))) % 6.34/6.55 (assume @p309 (forall @t131 (=> @t480 @t530))) % 6.34/6.55 (assume @p310 (forall @t316 (=> @t492 @t480))) % 6.34/6.55 (assume @p311 (forall @t533 (= @t532 @t531))) % 6.34/6.55 (assume @p312 (forall @t341 (= (not @t497) @t535))) % 6.34/6.55 (assume @p313 (forall @t341 (= @t537 @t536))) % 6.34/6.55 (assume @p314 (forall @t341 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t534) @t109)) @t497))) % 6.34/6.55 (assume @p315 (forall @t541 (=> @t540 @t539))) % 6.34/6.55 (assume @p316 (forall @t502 (=> (not @t501) (=> (tptp.hBOOL (tptp.hAPP @t488 @t265)) @t499)))) % 6.34/6.55 (assume @p317 (forall @t316 (=> @t492 @t542))) % 6.34/6.55 (assume @p318 (forall @t316 (=> @t492 (=> (not (= @t265 @t10)) @t543)))) % 6.34/6.55 (assume @p319 (forall @t551 (=> @t550 (=> @t548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t545) @t322)))))) % 6.34/6.55 (assume @p320 (forall @t316 (=> @t542 (=> @t552 @t499)))) % 6.34/6.55 (assume @p321 (forall @t316 (=> @t543 @t492))) % 6.34/6.55 (assume @p322 (forall @t316 (=> @t490 @t492))) % 6.34/6.55 (assume @p323 (forall @t551 (=> (tptp.hBOOL (tptp.hAPP @t555 @t322)) (tptp.hBOOL (tptp.hAPP @t549 @t322))))) % 6.34/6.55 (assume @p324 (forall (@list @t10 @t264 @t558 @t322) (=> @t560 (=> (= (tptp.hAPP @t314 @t558) @t557) @t492)))) % 6.34/6.55 (assume @p325 (forall @t565 (=> @t550 (=> @t560 (tptp.hBOOL (tptp.hAPP @t564 @t562)))))) % 6.34/6.55 (assume @p326 (forall @t551 (=> @t550 (tptp.hBOOL (tptp.hAPP @t564 @t566))))) % 6.34/6.55 (assume @p327 (forall @t568 (=> @t550 (tptp.hBOOL (tptp.hAPP @t549 @t567))))) % 6.34/6.55 (assume @p328 (forall @t568 (=> @t550 (tptp.hBOOL (tptp.hAPP @t549 @t569))))) % 6.34/6.55 (assume @p329 (forall @t331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t330) @t329)) @t497))) % 6.34/6.55 (assume @p330 (forall @t571 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t570) @t544))))) % 6.34/6.55 (assume @p331 (forall @t572 (not (tptp.hBOOL (tptp.hAPP @t555 @t544))))) % 6.34/6.55 (assume @p332 (forall @t579 (=> @t578 (=> @t577 @t576)))) % 6.34/6.55 (assume @p333 (forall @t579 (=> @t578 (=> @t584 @t583)))) % 6.34/6.55 (assume @p334 (forall @t359 (=> @t358 @t586))) % 6.34/6.55 (assume @p335 (forall @t359 (=> @t587 @t586))) % 6.34/6.55 (assume @p336 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP @t588 @t356)) @t589)))) % 6.34/6.55 (assume @p337 (forall @t341 (= @t537 (or @t339 (exists @t592 (and (= @t325 (tptp.hAPP tptp.c_Nat_OSuc @t590)) (tptp.hBOOL (tptp.hAPP @t591 @t23)))))))) % 6.34/6.55 (assume @p338 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t494 @t300)) @t338))) % 6.34/6.55 (assume @p339 (forall @t533 (= @t531 (exists @t478 @t593)))) % 6.34/6.55 (assume @p340 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t475 @t340)) (or @t594 @t531)))) % 6.34/6.55 (assume @p341 (forall @t341 (= @t497 (exists @t597 (= @t23 (tptp.hAPP tptp.c_Nat_OSuc @t596)))))) % 6.34/6.55 (assume @p342 (forall @t598 (tptp.hBOOL (tptp.hAPP @t549 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t314 @t544)))))) % 6.34/6.55 (assume @p343 (forall @t598 (tptp.hBOOL (tptp.hAPP @t549 (tptp.hAPP tptp.c_Nat_OSuc @t599))))) % 6.34/6.55 (assume @p344 (forall @t396 (=> @t603 (=> @t584 @t602)))) % 6.34/6.55 (assume @p345 (forall @t462 (not (= @t607 @t605)))) % 6.34/6.55 (assume @p346 (forall (@list @t608 @t278 @t30 @t35) (not (= @t607 (tptp.hAPP @t604 @t608))))) % 6.34/6.55 (assume @p347 (forall (@list @t278 @t389 @t35 @t30) (not (= @t605 @t607)))) % 6.34/6.55 (assume @p348 (forall (@list @t609 @t612 @t611 @t610) (not (= (tptp.hAPP (tptp.c_Sum__Type_OInr @t610 @t611) @t612) (tptp.hAPP (tptp.c_Sum__Type_OInl @t611 @t610) @t609))))) % 6.34/6.55 (assume @p349 (forall (@list @t278 @t30 @t35) (= (tptp.hAPP @t613 @t607) @t214))) % 6.34/6.55 (assume @p350 (forall (@list @t389 @t30 @t35) (= (tptp.hAPP @t613 @t605) @t214))) % 6.34/6.55 (assume @p351 (forall @t321 (=> @t504 @t614))) % 6.34/6.55 (assume @p352 (forall @t615 (=> (tptp.hBOOL (tptp.hAPP @t503 @t317)) @t614))) % 6.34/6.55 (assume @p353 (forall @t619 (=> @t618 (= (tptp.hBOOL (tptp.hAPP @t588 @t617)) @t531)))) % 6.34/6.55 (assume @p354 (forall @t622 (=> @t621 (= (= @t620 @t617) @t326)))) % 6.34/6.55 (assume @p355 (forall @t632 (= @t631 (exists @t53 (= @t628 (tptp.hAPP @t627 @t624)))))) % 6.34/6.55 (assume @p356 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t635 @t633)) @t497))) % 6.34/6.55 (assume @p357 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t637 @t633)) @t531))) % 6.34/6.55 (assume @p358 (= @t638 @t636)) % 6.34/6.55 (assume @p359 (forall @t533 (= (= @t633 @t636) @t338))) % 6.34/6.55 (assume @p360 (forall @t316 (= (tptp.hAPP @t642 @t640) @t639))) % 6.34/6.55 (assume @p361 (forall (@list @t317 @t10 @t264) (= (tptp.hAPP @t642 (tptp.hAPP (tptp.hAPP @t626 @t640) @t317)) (tptp.hAPP (tptp.hAPP @t626 @t639) @t317)))) % 6.34/6.55 (assume @p362 (forall @t646 (=> @t603 (not (tptp.hBOOL (tptp.hAPP @t645 @t364)))))) % 6.34/6.55 (assume @p363 (forall @t447 (=> @t647 (= (tptp.hAPP @t643 @t214) @t364)))) % 6.34/6.55 (assume @p364 (forall @t622 (=> @t618 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t620) @t617)) @t497)))) % 6.34/6.55 (assume @p365 (forall @t650 (=> @t603 (=> @t492 @t649)))) % 6.34/6.55 (assume @p366 (forall @t650 (=> @t603 (=> @t649 @t492)))) % 6.34/6.55 (assume @p367 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t315) (tptp.hAPP (tptp.hAPP @t365 @t644) @t648))))) % 6.34/6.55 (assume @p368 (forall @t658 (=> @t657 @t656))) % 6.34/6.55 (assume @p369 (forall (@list @t135 @t136 @t35 @t30) (=> (= @t659 (tptp.hAPP @t604 @t135)) @t137))) % 6.34/6.55 (assume @p370 (forall (@list @t458 @t64 @t30 @t127) (= (= @t471 (tptp.hAPP @t470 @t458)) @t459))) % 6.34/6.55 (assume @p371 (forall (@list @t135 @t136 @t30 @t35) (=> (= @t660 (tptp.hAPP @t606 @t135)) @t137))) % 6.34/6.55 (assume @p372 (forall (@list @t444 @t140 @t127 @t30) (= (= @t469 (tptp.hAPP @t468 @t444)) @t445))) % 6.34/6.55 (assume @p373 (forall @t661 (= (tptp.c_Sum__Type_OProjl @t35 @t30 @t660) @t136))) % 6.34/6.55 (assume @p374 (forall @t661 (= (tptp.c_Sum__Type_OProjr @t35 @t30 @t659) @t136))) % 6.34/6.55 (assume @p375 (forall @t664 (= (tptp.c_Sum__Type_Osum_Osum__rec @t127 @t30 @t465 @t37 @t44 @t663) @t463))) % 6.34/6.55 (assume @p376 (forall @t667 (= (tptp.c_Sum__Type_Osum_Osum__rec @t127 @t30 @t465 @t37 @t44 @t666) @t665))) % 6.34/6.55 (assume @p377 (forall @t669 (= (tptp.hAPP (tptp.c_Sum__Type_OSuml @t127 @t30 @t465 @t2) (tptp.hAPP @t662 @t378)) @t668))) % 6.34/6.55 (assume @p378 (forall @t669 (= (tptp.hAPP (tptp.c_Sum__Type_OSumr @t127 @t30 @t465 @t2) (tptp.hAPP (tptp.c_Sum__Type_OInr @t127 @t465) @t378)) @t668))) % 6.34/6.55 (assume @p379 (forall @t316 (=> @t492 (exists @t597 (= @t10 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t314 @t595))))))) % 6.34/6.55 (assume @p380 (forall @t572 (=> @t550 (exists @t597 (and (tptp.hBOOL (tptp.hAPP @t475 @t595)) (= (tptp.hAPP @t553 @t595) @t546)))))) % 6.34/6.55 (assume @p381 (forall @t131 (=> @t530 @t479))) % 6.34/6.55 (assume @p382 (forall (@list @t670 @t23 @t2 @t30) (=> @t671 (=> (forall @t53 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t220) (tptp.hAPP @t2 @t285)))) (=> (tptp.hBOOL (tptp.hAPP @t494 @t670)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t217) (tptp.hAPP @t2 @t670)))))))) % 6.34/6.55 (assume @p383 (forall @t138 (or (tptp.hBOOL (tptp.hAPP @t673 @t135)) @t137 (tptp.hBOOL (tptp.hAPP @t672 @t136))))) % 6.34/6.55 (assume @p384 (forall @t675 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t674) @t636))))) % 6.34/6.55 (assume @p385 (forall @t551 (=> @t678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP @t676 @t322)) (tptp.hAPP (tptp.hAPP @t626 @t546) @t322)))))) % 6.34/6.55 (assume @p386 (forall @t341 (= (= @t634 @t633) @t326))) % 6.34/6.55 (assume @p387 (forall @t680 (= (tptp.hAPP @t679 @t636) @t317))) % 6.34/6.55 (assume @p388 (forall @t680 (= (tptp.hAPP (tptp.hAPP @t626 @t636) @t317) @t317))) % 6.34/6.55 (assume @p389 (forall @t685 (= @t684 @t683))) % 6.34/6.55 (assume @p390 (forall @t321 (= (tptp.hAPP @t686 (tptp.hAPP @t687 @t317)) (tptp.hAPP @t687 (tptp.hAPP @t686 @t317))))) % 6.34/6.55 (assume @p391 (forall @t693 (= (tptp.hAPP (tptp.hAPP @t626 @t692) @t688) (tptp.hAPP @t691 (tptp.hAPP (tptp.hAPP @t626 @t689) @t688))))) % 6.34/6.55 (assume @p392 (forall (@list @t1 @t2 @t127 @t465 @t30) (=> (= (tptp.c_Sum__Type_OSuml @t30 @t465 @t127 @t2) (tptp.c_Sum__Type_OSuml @t30 @t465 @t127 @t1)) @t3))) % 6.34/6.55 (assume @p393 (forall (@list @t1 @t2 @t30 @t465 @t127) (=> (= (tptp.c_Sum__Type_OSumr @t127 @t465 @t30 @t2) (tptp.c_Sum__Type_OSumr @t127 @t465 @t30 @t1)) @t3))) % 6.34/6.55 (assume @p394 (forall @t138 (= (tptp.hAPP (tptp.hAPP @t626 @t695) @t694) (tptp.hAPP @t623 (tptp.hAPP @t318 @t135))))) % 6.34/6.55 (assume @p395 (forall @t700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t699) @t698)) @t697))) % 6.34/6.55 (assume @p396 (= @t636 @t638)) % 6.34/6.55 (assume @p397 (forall @t675 (=> @t703 (exists @t53 (and @t702 (= @t322 @t701)))))) % 6.34/6.55 (assume @p398 (forall @t707 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t588 @t706)) @t704)))) % 6.34/6.55 (assume @p399 (forall @t707 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t706) @t352)) @t709)))) % 6.34/6.55 (assume @p400 (forall @t551 (=> @t678 (=> @t712 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP @t711 @t544)) (tptp.hAPP @t711 @t546))))))) % 6.34/6.55 (assume @p401 (forall @t131 (tptp.hBOOL (tptp.hAPP @t715 @t636)))) % 6.34/6.55 (assume @p402 (forall @t718 (= (tptp.hBOOL (tptp.hAPP @t27 @t717)) (and (forall @t53 (=> (= @t178 @t701) @t484)) (=> (tptp.hBOOL (tptp.hAPP @t716 @t636)) @t485))))) % 6.34/6.55 (assume @p403 (forall @t720 (= (tptp.hBOOL (tptp.hAPP @t475 @t719)) @t704))) % 6.34/6.55 (assume @p404 (forall @t502 (tptp.hBOOL (tptp.hAPP @t715 @t641)))) % 6.34/6.55 (assume @p405 (forall @t369 (=> @t723 (= (tptp.hAPP @t721 @t722) @t278)))) % 6.34/6.55 (assume @p406 (forall @t680 (= (tptp.hAPP @t713 @t724) @t317))) % 6.34/6.55 (assume @p407 (forall @t728 (=> @t727 (= (tptp.hAPP @t725 @t724) (tptp.hAPP @t721 @t726))))) % 6.34/6.55 (assume @p408 (forall @t733 (=> @t727 (= (tptp.hAPP @t725 @t732) (tptp.hAPP (tptp.hAPP @t730 @t729) @t726))))) % 6.34/6.55 (assume @p409 (forall @t579 (=> @t370 (= @t737 @t735)))) % 6.34/6.55 (assume @p410 (forall @t685 (= @t739 @t732))) % 6.34/6.55 (assume @p411 (forall @t745 (=> @t744 (= @t743 (= @t64 @t741))))) % 6.34/6.55 (assume @p412 (forall @t753 (=> @t370 (= @t752 (tptp.hAPP @t750 (tptp.hAPP @t748 @t746)))))) % 6.34/6.55 (assume @p413 (forall @t753 (=> @t370 (= @t752 (tptp.hAPP @t754 @t746))))) % 6.34/6.55 (assume @p414 (forall @t685 (= (tptp.hAPP (tptp.hAPP @t710 @t724) @t681) (tptp.hAPP @t713 @t739)))) % 6.34/6.55 (assume @p415 (forall @t745 (=> @t744 (= (= @t741 @t64) (= @t742 @t140))))) % 6.34/6.55 (assume @p416 (forall @t758 (=> @t757 (= (= @t756 @t706) @t755)))) % 6.34/6.55 (assume @p417 (forall @t745 (=> @t744 (= (= @t741 @t742) @t759)))) % 6.34/6.55 (assume @p418 (forall @t396 (=> (tptp.class_Groups_Oab__semigroup__mult @t35) (= (tptp.hAPP (tptp.hAPP @t730 @t737) @t111) (tptp.hAPP @t736 @t760))))) % 6.34/6.55 (assume @p419 (forall @t765 (=> @t370 (= @t764 (tptp.hAPP @t748 (tptp.hAPP @t762 @t749)))))) % 6.34/6.55 (assume @p420 (forall @t693 (= (tptp.hAPP (tptp.hAPP @t710 (tptp.hAPP @t767 @t689)) @t688) (tptp.hAPP @t767 (tptp.hAPP @t766 @t688))))) % 6.34/6.55 (assume @p421 (forall @t765 (=> @t370 (= @t764 (tptp.hAPP @t754 @t761))))) % 6.34/6.55 (assume @p422 (forall @t769 (=> @t370 (= @t768 (tptp.hAPP @t748 (tptp.hAPP @t762 @t751)))))) % 6.34/6.55 (assume @p423 (forall @t769 (=> @t370 (= @t768 (tptp.hAPP @t750 (tptp.hAPP @t763 @t746)))))) % 6.34/6.55 (assume @p424 (forall @t769 (=> @t370 (= @t768 (tptp.hAPP @t754 (tptp.hAPP @t762 @t746)))))) % 6.34/6.55 (assume @p425 (forall @t579 (=> @t773 (= @t772 @t771)))) % 6.34/6.55 (assume @p426 (forall @t579 (=> @t773 (= @t772 @t775)))) % 6.34/6.55 (assume @p427 (forall @t579 (=> @t773 (= @t775 @t771)))) % 6.34/6.55 (assume @p428 (forall @t579 (=> @t773 (= (tptp.hAPP @t774 @t770) @t737)))) % 6.34/6.55 (assume @p429 (forall @t745 (=> @t779 (= (= (tptp.hAPP @t778 @t140) (tptp.hAPP @t777 @t64)) (or @t759 @t743))))) % 6.34/6.55 (assume @p430 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t782) (tptp.hAPP (tptp.hAPP @t730 @t644) @t648))))) % 6.34/6.55 (assume @p431 (forall @t786 (=> @t727 (and (=> @t784 (= @t783 (tptp.hAPP @t721 (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat @t785))))) (=> (not @t784) (= @t783 (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat @t322)))))))) % 6.34/6.55 (assume @p432 (forall @t131 (= (tptp.hAPP tptp.c_Int_Onat @t787) @t214))) % 6.34/6.55 (assume @p433 (forall @t359 (=> @t358 (= (= @t741 @t140) @t353)))) % 6.34/6.55 (assume @p434 (forall @t359 (=> @t744 (= (= @t741 @t352) @t353)))) % 6.34/6.55 (assume @p435 (forall @t359 (=> @t358 (= (= @t140 @t741) @t353)))) % 6.34/6.55 (assume @p436 (forall @t359 (=> @t744 (= (= @t352 @t741) (= @t352 @t140))))) % 6.34/6.55 (assume @p437 (forall @t447 (=> @t723 (= (tptp.hAPP @t721 @t364) @t364)))) % 6.34/6.55 (assume @p438 (forall @t745 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t508 @t742)) (tptp.hBOOL (tptp.hAPP @t788 @t741)))))) % 6.34/6.55 (assume @p439 (forall @t745 (=> @t789 (= @t792 (tptp.hBOOL (tptp.hAPP @t790 @t140)))))) % 6.34/6.55 (assume @p440 (forall @t363 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t790 @t741)) @t509)))) % 6.34/6.55 (assume @p441 (forall @t579 (=> @t723 (= (tptp.hAPP @t793 @t392) @t389)))) % 6.34/6.55 (assume @p442 (forall @t579 (=> @t723 (= (tptp.hAPP @t366 (tptp.hAPP @t793 @t389)) @t389)))) % 6.34/6.55 (assume @p443 (forall @t579 (=> @t723 (= @t794 (tptp.hAPP (tptp.hAPP @t365 @t770) @t722))))) % 6.34/6.55 (assume @p444 (forall @t579 (=> @t795 (= @t794 (tptp.hAPP @t793 @t770))))) % 6.34/6.55 (assume @p445 (forall @t579 (=> @t799 (=> @t798 (or @t797 @t796))))) % 6.34/6.55 (assume @p446 (forall @t579 (=> @t799 (=> @t801 (=> @t800 (not @t798)))))) % 6.34/6.55 (assume @p447 (forall @t745 (=> (tptp.class_Rings_Oring__no__zero__divisors @t30) (= (= @t803 @t352) (or @t353 @t802))))) % 6.34/6.55 (assume @p448 (forall @t369 (=> @t805 @t804))) % 6.34/6.55 (assume @p449 (forall @t369 (=> @t805 @t806))) % 6.34/6.55 (assume @p450 (forall @t369 (=> @t370 @t804))) % 6.34/6.55 (assume @p451 (forall @t369 (=> @t370 @t806))) % 6.34/6.55 (assume @p452 (= (tptp.hAPP @t713 @t636) @t636)) % 6.34/6.55 (assume @p453 (forall @t131 (= (tptp.hAPP tptp.c_Int_Onat @t640) @t10))) % 6.34/6.55 (assume @p454 (forall (@list @t111 @t389 @t807 @t278 @t35) (=> (tptp.class_Rings_Osemiring @t35) (= (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t736 @t807)) (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t734 @t807)) @t111)) (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t808 @t807)) @t111))))) % 6.34/6.55 (assume @p455 (forall @t396 (=> (tptp.class_Rings_Ocomm__semiring @t35) @t810))) % 6.34/6.55 (assume @p456 (forall (@list @t628 @t378 @t696 @t625 @t30) (=> @t362 (= (= (tptp.hAPP (tptp.hAPP @t354 @t815) @t814) (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t813 @t628)) (tptp.hAPP @t812 @t696))) (or (= @t625 @t378) @t811))))) % 6.34/6.55 (assume @p457 (forall (@list @t389 @t264 @t278 @t35) (=> @t370 (= (tptp.hAPP @t817 (tptp.hAPP @t734 @t264)) (tptp.hAPP @t808 @t264))))) % 6.34/6.55 (assume @p458 (forall @t396 (=> @t370 @t810))) % 6.34/6.55 (assume @p459 (forall @t824 (=> @t362 (= (and @t823 (not @t822)) (not (= (tptp.hAPP (tptp.hAPP @t354 @t821) (tptp.hAPP @t777 @t819)) (tptp.hAPP (tptp.hAPP @t354 @t820) @t818))))))) % 6.34/6.55 (assume @p460 (forall @t830 (=> @t370 (= (tptp.hAPP @t825 @t829) (tptp.hAPP (tptp.hAPP @t365 @t827) @t826))))) % 6.34/6.55 (assume @p461 (forall @t685 (= (tptp.hAPP @t713 @t684) (tptp.hAPP @t832 @t831)))) % 6.34/6.55 (assume @p462 (forall @t835 (= (tptp.hAPP (tptp.hAPP @t710 @t692) @t681) (tptp.hAPP (tptp.hAPP @t626 @t834) @t833)))) % 6.34/6.55 (assume @p463 (forall @t838 (= (tptp.hAPP @t731 @t692) (tptp.hAPP (tptp.hAPP @t626 @t837) @t836)))) % 6.34/6.55 (assume @p464 (= @t214 @t839)) % 6.34/6.55 (assume @p465 (forall @t131 (= (tptp.hAPP @t840 @t640) @t640))) % 6.34/6.55 (assume @p466 (forall @t359 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t508 @t741)) @t585)))) % 6.34/6.55 (assume @p467 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP @t791 @t140)) @t589)))) % 6.34/6.55 (assume @p468 (forall @t359 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t791 @t352)) @t589)))) % 6.34/6.55 (assume @p469 (forall @t359 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t588 @t741)) @t585)))) % 6.34/6.55 (assume @p470 (forall @t369 (=> @t723 (= (tptp.hAPP @t366 @t722) @t364)))) % 6.34/6.55 (assume @p471 (forall @t745 (=> @t744 (= @t743 (= @t399 @t352))))) % 6.34/6.55 (assume @p472 (forall @t369 (=> @t723 @t841))) % 6.34/6.55 (assume @p473 (forall @t369 (=> @t795 @t841))) % 6.34/6.55 (assume @p474 (forall @t579 (=> @t723 (=> (= @t392 @t364) (= @t722 @t389))))) % 6.34/6.55 (assume @p475 (= @t839 @t214)) % 6.34/6.55 (assume @p476 (forall @t410 (=> @t848 (=> @t847 (=> @t846 @t845))))) % 6.34/6.55 (assume @p477 (forall @t410 (=> @t848 (=> @t847 (=> @t846 @t850))))) % 6.34/6.55 (assume @p478 (forall @t396 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t35) @t852))) % 6.34/6.55 (assume @p479 (forall @t396 (=> @t853 @t852))) % 6.34/6.55 (assume @p480 (forall @t396 (=> @t853 (=> @t519 (=> @t851 @t850))))) % 6.34/6.55 (assume @p481 (forall @t579 (=> @t848 (=> @t577 (=> @t575 @t854))))) % 6.34/6.55 (assume @p482 (forall @t579 (=> @t853 (=> @t577 (=> @t582 @t855))))) % 6.34/6.55 (assume @p483 (forall @t514 (=> @t863 (=> @t862 (= @t860 @t856))))) % 6.34/6.55 (assume @p484 (forall @t865 (=> @t853 (=> (tptp.hBOOL (tptp.hAPP @t580 @t735)) @t864)))) % 6.34/6.55 (assume @p485 (forall @t579 (=> @t853 (=> @t854 @t864)))) % 6.34/6.55 (assume @p486 (forall @t579 (=> @t853 (=> @t584 (=> @t575 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t735) @t364))))))) % 6.34/6.55 (assume @p487 (forall @t579 (=> @t853 (=> @t584 (=> @t575 @t855))))) % 6.34/6.55 (assume @p488 (forall @t579 (=> @t853 (=> @t584 (=> @t582 @t854))))) % 6.34/6.55 (assume @p489 (forall @t514 (=> @t863 (=> @t866 (= @t860 @t509))))) % 6.34/6.55 (assume @p490 (forall @t514 (=> @t863 (= @t860 @t867)))) % 6.34/6.55 (assume @p491 (forall @t512 (=> @t863 (= (tptp.hBOOL (tptp.hAPP @t868 @t818)) @t867)))) % 6.34/6.55 (assume @p492 (forall @t369 (=> @t870 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t869) @t364)))))) % 6.34/6.55 (assume @p493 (forall @t875 (=> @t863 (= (= @t874 @t352) @t872)))) % 6.34/6.55 (assume @p494 (forall (@list @t384 @t111 @t389 @t278 @t876 @t35) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t35) (=> (not (= @t876 @t364)) (=> (and @t878 (not (= @t111 @t384))) (not (= (tptp.hAPP @t366 (tptp.hAPP @t877 @t111)) (tptp.hAPP @t390 (tptp.hAPP @t877 @t384))))))))) % 6.34/6.55 (assume @p495 (forall @t680 (= (tptp.hAPP @t832 @t317) @t636))) % 6.34/6.55 (assume @p496 (forall @t541 (= (= (tptp.hAPP @t713 @t633) @t634) @t879))) % 6.34/6.55 (assume @p497 (forall @t502 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t640) (tptp.hAPP @t713 @t641)))))) % 6.34/6.55 (assume @p498 (forall @t551 (=> @t678 (=> @t703 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP @t880 @t544)) (tptp.hAPP @t880 @t546))))))) % 6.34/6.55 (assume @p499 (forall @t707 (=> @t757 (= (= @t706 @t352) @t881)))) % 6.34/6.55 (assume @p500 (forall @t707 (=> @t757 (= (= @t352 @t706) @t881)))) % 6.34/6.55 (assume @p501 (forall @t447 (=> @t727 (= (tptp.hAPP @t725 @t636) @t364)))) % 6.34/6.55 (assume @p502 (forall @t758 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t756) @t706)) @t631)))) % 6.34/6.55 (assume @p503 (forall @t733 (=> @t727 (= (tptp.hAPP @t725 @t683) (tptp.hAPP (tptp.hAPP @t365 @t729) @t726))))) % 6.34/6.55 (assume @p504 (forall @t882 (=> @t727 (= (tptp.hAPP @t725 @t640) @t648)))) % 6.34/6.55 (assume @p505 (forall @t887 (=> @t704 @t886))) % 6.34/6.55 (assume @p506 (forall @t632 (= @t885 (and @t704 @t631)))) % 6.34/6.55 (assume @p507 (forall @t888 (= (tptp.hBOOL (tptp.hAPP @t496 @t719)) (tptp.hBOOL (tptp.hAPP @t635 @t628))))) % 6.34/6.55 (assume @p508 (forall @t875 (=> @t863 (= (tptp.hBOOL (tptp.hAPP @t588 @t874)) @t890)))) % 6.34/6.55 (assume @p509 (forall @t658 (=> @t870 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t893) @t364)))))) % 6.34/6.55 (assume @p510 (forall @t700 (= (= @t699 @t698) @t894))) % 6.34/6.55 (assume @p511 (forall @t895 (= (tptp.c_Int_Onat__aux @t544 @t10) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP tptp.c_Int_Onat @t544)) @t10)))) % 6.34/6.55 (assume @p512 (forall @t896 (=> (tptp.hBOOL (tptp.hAPP @t673 @t636)) (exists @t53 (= @t136 (tptp.hAPP @t713 @t624)))))) % 6.34/6.55 (assume @p513 (forall @t900 (=> @t899 (= (tptp.hBOOL (tptp.hAPP @t884 @t325)) (tptp.hBOOL (tptp.hAPP @t630 @t634)))))) % 6.34/6.55 (assume @p514 (forall @t720 (= (tptp.hBOOL (tptp.hAPP @t903 @t719)) (tptp.hBOOL (tptp.hAPP @t902 @t628))))) % 6.34/6.55 (assume @p515 (forall @t728 (=> @t727 (=> @t905 (= (tptp.hAPP @t643 @t904) @t726))))) % 6.34/6.55 (assume @p516 (forall @t131 (not (tptp.hBOOL (tptp.hAPP @t898 @t714))))) % 6.34/6.55 (assume @p517 (forall @t138 (=> @t910 (=> @t909 (= (tptp.hAPP (tptp.hAPP @t301 @t908) @t907) (tptp.hAPP tptp.c_Int_Onat @t906)))))) % 6.34/6.55 (assume @p518 (forall @t914 (=> @t905 (=> @t913 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t679 @t911)) (tptp.hAPP (tptp.hAPP @t301 @t904) @t912)))))) % 6.34/6.55 (assume @p519 (forall (@list @t625 @t325) (= (= @t325 @t883) @t915))) % 6.34/6.55 (assume @p520 (forall @t900 (= (= @t883 @t325) @t915))) % 6.34/6.55 (assume @p521 (forall @t502 (tptp.hBOOL (tptp.hAPP @t916 @t641)))) % 6.34/6.55 (assume @p522 (tptp.hBOOL (tptp.hAPP @t898 @t901))) % 6.34/6.55 (assume @p523 (forall @t316 (= @t782 @t918))) % 6.34/6.55 (assume @p524 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t780 @t782) @t322) (tptp.hAPP @t781 @t919)))) % 6.34/6.55 (assume @p525 (forall @t685 (=> @t923 (=> @t921 (= @t317 @t681))))) % 6.34/6.55 (assume @p526 (forall @t551 (=> @t925 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t546) @t322)) (tptp.hBOOL (tptp.hAPP @t924 @t322)))))) % 6.34/6.55 (assume @p527 (forall @t685 (or @t923 @t921))) % 6.34/6.55 (assume @p528 (forall @t380 (=> (tptp.class_Groups_Oone @t30) (= (= @t926 @t378) @t927)))) % 6.34/6.55 (assume @p529 (forall @t928 (tptp.hBOOL (tptp.hAPP @t920 @t681)))) % 6.34/6.55 (assume @p530 (forall @t447 (=> @t603 (not (tptp.hBOOL (tptp.hAPP @t931 @t364)))))) % 6.34/6.55 (assume @p531 (forall @t447 (=> @t603 (tptp.hBOOL (tptp.hAPP @t932 @t929))))) % 6.34/6.55 (assume @p532 (forall @t447 (=> @t647 (= (tptp.hAPP @t643 @t933) @t929)))) % 6.34/6.55 (assume @p533 (forall @t622 (=> @t618 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t620) @t617)) @t936)))) % 6.34/6.55 (assume @p534 (forall @t758 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t756) @t706)) @t939)))) % 6.34/6.55 (assume @p535 (forall @t447 (=> @t727 (= (tptp.hAPP @t725 @t901) @t929)))) % 6.34/6.55 (assume @p536 (forall @t658 (=> @t657 (=> @t943 (=> @t942 (=> @t941 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t827) @t136)))))))) % 6.34/6.55 (assume @p537 (forall @t658 (=> @t657 (=> @t943 (=> @t942 (=> @t941 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t944) @t136)))))))) % 6.34/6.55 (assume @p538 (forall @t720 (= (tptp.hBOOL (tptp.hAPP @t945 @t628)) @t704))) % 6.34/6.55 (assume @p539 (forall @t632 (= @t946 @t939))) % 6.34/6.55 (assume @p540 (forall @t632 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP @t627 @t901)) @t628)) @t631))) % 6.34/6.55 (assume @p541 (forall @t947 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t681) @t317)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP @t682 @t901)) @t317))))) % 6.34/6.55 (assume @p542 (forall @t447 (=> @t948 (not (= @t929 @t364))))) % 6.34/6.55 (assume @p543 (forall @t447 (=> @t948 (not (= @t364 @t929))))) % 6.34/6.55 (assume @p544 (forall @t369 (=> @t950 @t949))) % 6.34/6.55 (assume @p545 (forall @t369 (=> @t370 @t949))) % 6.34/6.55 (assume @p546 (forall @t369 (=> @t951 @t949))) % 6.34/6.55 (assume @p547 (forall @t369 (=> @t950 @t952))) % 6.34/6.55 (assume @p548 (forall @t369 (=> @t370 @t952))) % 6.34/6.55 (assume @p549 (forall @t369 (=> @t951 @t952))) % 6.34/6.55 (assume @p550 (forall @t512 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t398) @t510)) @t954)))) % 6.34/6.55 (assume @p551 (forall @t514 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t403) @t513)) @t954)))) % 6.34/6.55 (assume @p552 (forall @t396 (=> @t959 (=> @t958 @t956)))) % 6.34/6.55 (assume @p553 (forall @t396 (=> @t959 (=> @t958 @t960)))) % 6.34/6.55 (assume @p554 (forall @t405 (=> @t959 (=> @t958 (=> @t962 (tptp.hBOOL (tptp.hAPP @t955 @t404))))))) % 6.34/6.55 (assume @p555 (forall @t528 (=> @t527 (=> @t956 @t958)))) % 6.34/6.55 (assume @p556 (forall @t529 (=> @t527 (=> @t960 @t958)))) % 6.34/6.55 (assume @p557 (forall @t336 (= (= @t968 @t966) @t964))) % 6.34/6.55 (assume @p558 (forall @t331 (= @t972 @t964))) % 6.34/6.55 (assume @p559 (forall @t341 (= (= @t973 @t214) (or @t339 @t338)))) % 6.34/6.55 (assume @p560 (forall @t266 (= (tptp.hAPP @t781 @t214) @t214))) % 6.34/6.55 (assume @p561 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t780 @t214) @t10) @t214))) % 6.34/6.55 (assume @p562 (forall @t331 (= (= @t977 @t976) @t326))) % 6.34/6.55 (assume @p563 (forall @t579 (=> @t978 (=> @t958 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t770) @t722)))))) % 6.34/6.55 (assume @p564 (forall @t363 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t979 @t741)) @t954)))) % 6.34/6.55 (assume @p565 (forall @t745 (=> @t789 (= @t981 (tptp.hBOOL (tptp.hAPP @t979 @t140)))))) % 6.34/6.55 (assume @p566 (forall @t745 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t953 @t742)) (tptp.hBOOL (tptp.hAPP @t982 @t741)))))) % 6.34/6.55 (assume @p567 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t780 @t315) @t322) (tptp.hAPP (tptp.hAPP @t301 @t983) @t919)))) % 6.34/6.55 (assume @p568 (forall @t987 (= (tptp.hAPP @t984 @t315) (tptp.hAPP (tptp.hAPP @t301 @t986) @t985)))) % 6.34/6.55 (assume @p569 (tptp.hBOOL (tptp.hAPP @t898 @t636))) % 6.34/6.55 (assume @p570 (not (= @t636 @t901))) % 6.34/6.55 (assume @p571 (forall @t887 (= (tptp.hBOOL (tptp.hAPP @t708 @t625)) (and (tptp.hBOOL (tptp.hAPP @t988 @t625)) (not (= @t628 @t625)))))) % 6.34/6.55 (assume @p572 (forall @t551 (=> @t925 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP @t989 @t544)) (tptp.hAPP @t989 @t546)))))) % 6.34/6.55 (assume @p573 (forall @t680 (= (tptp.hAPP @t738 @t901) @t317))) % 6.34/6.55 (assume @p574 (forall @t680 (= (tptp.hAPP (tptp.hAPP @t710 @t901) @t317) @t317))) % 6.34/6.55 (assume @p575 (forall @t997 (=> (tptp.class_Rings_Olinordered__semiring__1 @t35) (=> @t996 (=> (tptp.hBOOL (tptp.hAPP @t940 @t278)) (=> @t994 (=> @t993 (=> @t992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t991) @t278)))))))))) % 6.34/6.55 (assume @p576 (forall @t680 (=> @t905 (tptp.hBOOL (tptp.hAPP @t637 @t999))))) % 6.34/6.55 (assume @p577 (forall @t138 (=> @t910 (=> @t909 (= (tptp.hAPP (tptp.hAPP @t780 @t908) @t907) (tptp.hAPP tptp.c_Int_Onat @t1000)))))) % 6.34/6.55 (assume @p578 (forall @t914 (=> @t905 (= @t1001 (tptp.hAPP (tptp.hAPP @t780 @t904) @t912))))) % 6.34/6.55 (assume @p579 (forall @t707 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t1003 @t706)) @t1002)))) % 6.34/6.55 (assume @p580 (forall @t707 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t706) @t352)) (tptp.hBOOL (tptp.hAPP @t988 @t636)))))) % 6.34/6.55 (assume @p581 (forall @t997 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t35) (=> @t1004 (=> (tptp.hBOOL (tptp.hAPP @t651 @t278)) (=> @t994 (=> @t993 (=> @t992 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t991) @t278)))))))))) % 6.34/6.55 (assume @p582 (forall @t680 (=> @t905 (= (tptp.hAPP tptp.c_Nat_OSuc @t904) (tptp.hAPP tptp.c_Int_Onat @t999))))) % 6.34/6.55 (assume @p583 (forall @t447 (=> @t603 (not (tptp.hBOOL (tptp.hAPP @t1005 @t364)))))) % 6.34/6.55 (assume @p584 (forall @t447 (=> @t603 (tptp.hBOOL (tptp.hAPP @t580 @t929))))) % 6.34/6.55 (assume @p585 (forall @t914 (=> @t1006 (= @t1001 (tptp.hAPP (tptp.hAPP @t780 (tptp.hAPP tptp.c_Int_Onat @t724)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t713 @t911))))))) % 6.34/6.55 (assume @p586 (forall @t369 (=> @t603 (tptp.hBOOL (tptp.hAPP @t518 @t1007))))) % 6.34/6.55 (assume @p587 (forall @t650 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP @t1005 @t264)) (=> (tptp.hBOOL (tptp.hAPP @t1005 @t10)) (tptp.hBOOL (tptp.hAPP @t1005 (tptp.hAPP (tptp.hAPP @t730 @t264) @t10)))))))) % 6.34/6.55 (assume @p588 (forall (@list @t264 @t278 @t35) (=> @t370 (= (tptp.hAPP @t817 @t264) @t1008)))) % 6.34/6.55 (assume @p589 (forall (@list @t278 @t264 @t35) (=> @t370 (= (tptp.hAPP @t1009 @t816) @t1008)))) % 6.34/6.55 (assume @p590 (forall @t646 (=> @t370 (= (tptp.hAPP @t1009 @t264) (tptp.hAPP @t1012 @t264))))) % 6.34/6.55 (assume @p591 (forall @t579 (=> @t578 (=> @t1015 (=> @t1014 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t392) @t364))))))) % 6.34/6.55 (assume @p592 (forall @t1019 (=> @t578 (=> @t1018 (=> @t1017 @t1016))))) % 6.34/6.55 (assume @p593 (forall @t396 (=> @t578 (=> @t1021 (=> @t1020 @t1016))))) % 6.34/6.55 (assume @p594 (forall @t875 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t30) (=> (tptp.hBOOL (tptp.hAPP @t1003 @t378)) (=> (tptp.hBOOL (tptp.hAPP @t1003 @t696)) (= (= @t1023 @t352) @t872)))))) % 6.34/6.55 (assume @p595 (forall @t579 (=> @t578 (=> @t1021 (=> @t1024 (tptp.hBOOL (tptp.hAPP @t932 @t392))))))) % 6.34/6.55 (assume @p596 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t356) @t352)) @t1025)))) % 6.34/6.55 (assume @p597 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP @t1003 @t356)) @t1026)))) % 6.34/6.55 (assume @p598 (forall @t369 (=> @t870 (tptp.hBOOL (tptp.hAPP @t932 @t869))))) % 6.34/6.55 (assume @p599 (forall @t745 (=> @t863 (= (tptp.hBOOL (tptp.hAPP @t1003 @t803)) @t1029)))) % 6.34/6.55 (assume @p600 (forall @t745 (=> @t863 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t803) @t352)) @t1030)))) % 6.34/6.55 (assume @p601 (forall @t579 (=> @t1032 (=> @t1021 (=> @t1024 @t1031))))) % 6.34/6.55 (assume @p602 (forall @t579 (=> @t1032 (=> @t1021 (=> @t1014 @t1033))))) % 6.34/6.55 (assume @p603 (forall @t579 (=> @t1032 (=> @t1021 (=> @t1014 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t735) @t364))))))) % 6.34/6.55 (assume @p604 (forall @t579 (=> @t1032 (=> @t1015 (=> @t1024 @t1033))))) % 6.34/6.55 (assume @p605 (forall @t579 (=> @t1034 (=> @t1015 (=> @t1014 @t1031))))) % 6.34/6.55 (assume @p606 (forall @t396 (=> @t1037 (=> @t958 (=> @t1018 @t1036))))) % 6.34/6.55 (assume @p607 (forall @t396 (=> @t1037 @t1039))) % 6.34/6.55 (assume @p608 (forall @t396 (=> (tptp.class_Rings_Oordered__comm__semiring @t35) @t1039))) % 6.34/6.55 (assume @p609 (forall @t410 (=> @t1034 (=> @t1017 (=> @t1040 @t1036))))) % 6.34/6.55 (assume @p610 (forall @t410 (=> @t1034 (=> @t1017 (=> @t1040 @t1038))))) % 6.34/6.55 (assume @p611 (forall @t405 (=> @t1037 (=> @t958 (=> @t962 (=> @t1021 @t1042)))))) % 6.34/6.55 (assume @p612 (forall @t405 (=> @t1037 (=> @t958 (=> @t962 (=> @t1024 @t1042)))))) % 6.34/6.55 (assume @p613 (forall @t579 (=> @t1034 (=> (or (and @t1021 @t1024) (and @t1015 @t1014)) @t1031)))) % 6.34/6.55 (assume @p614 (forall @t579 (=> @t1032 (=> (or (and @t1021 @t1014) (and @t1015 @t1024)) @t1033)))) % 6.34/6.55 (assume @p615 (forall @t405 (=> @t520 (=> @t958 @t526)))) % 6.34/6.55 (assume @p616 (forall @t405 (=> @t520 (=> @t519 (=> @t962 @t523))))) % 6.34/6.55 (assume @p617 (forall @t380 (=> @t1044 (= (= @t873 @t926) (or @t927 (= @t378 @t1043)))))) % 6.34/6.55 (assume @p618 (forall @t436 (=> @t1047 (= @t1046 (tptp.hAPP (tptp.hAPP @t730 @t1045) @t136))))) % 6.34/6.55 (assume @p619 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP @t980 @t140)) @t1026)))) % 6.34/6.55 (assume @p620 (forall @t359 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t980 @t352)) @t1026)))) % 6.34/6.55 (assume @p621 (forall @t359 (=> @t358 (= (tptp.hBOOL (tptp.hAPP @t953 @t741)) @t1025)))) % 6.34/6.55 (assume @p622 (forall @t359 (=> @t789 (= (tptp.hBOOL (tptp.hAPP @t1003 @t741)) @t1025)))) % 6.34/6.55 (assume @p623 (forall @t341 (= (= @t973 @t300) (and @t348 @t347)))) % 6.34/6.55 (assume @p624 (forall @t882 (=> @t603 (tptp.hBOOL (tptp.hAPP @t932 @t648))))) % 6.34/6.55 (assume @p625 (forall @t646 (=> @t603 (tptp.hBOOL (tptp.hAPP @t932 @t644))))) % 6.34/6.55 (assume @p626 (forall @t551 (=> @t550 (=> @t712 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1049) @t1048)))))) % 6.34/6.55 (assume @p627 (forall @t551 (=> @t550 (=> @t712 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1053) @t1051)))))) % 6.34/6.55 (assume @p628 (forall @t336 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t968) @t966)) @t1055))) % 6.34/6.55 (assume @p629 (forall @t331 (= @t1056 @t1055))) % 6.34/6.55 (assume @p630 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t475 @t973)) (and @t594 @t531)))) % 6.34/6.55 (assume @p631 (forall @t331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t977) @t976)) @t497))) % 6.34/6.55 (assume @p632 (forall @t316 (= (tptp.hAPP (tptp.hAPP @t780 @t265) @t10) (tptp.hAPP @t312 @t782)))) % 6.34/6.55 (assume @p633 (forall @t316 (= (tptp.hAPP @t781 @t36) (tptp.hAPP @t314 @t782)))) % 6.34/6.55 (assume @p634 (forall @t138 (=> @t910 (=> @t909 (tptp.hBOOL (tptp.hAPP @t898 @t906)))))) % 6.34/6.55 (assume @p635 (tptp.hBOOL (tptp.hAPP @t637 @t901))) % 6.34/6.55 (assume @p636 (forall @t131 (tptp.hBOOL (tptp.hAPP @t898 @t640)))) % 6.34/6.55 (assume @p637 (forall @t1061 (= (forall @t8 (=> @t1060 @t1059)) (forall @t8 @t1057)))) % 6.34/6.55 (assume @p638 (forall @t1061 (= (exists @t8 (and @t1060 @t1059)) (exists @t8 @t1057)))) % 6.34/6.55 (assume @p639 (forall @t680 (tptp.hBOOL (tptp.hAPP @t898 @t1062)))) % 6.34/6.55 (assume @p640 (forall (@list @t1063 @t628) (=> @t1002 (=> (tptp.hBOOL (tptp.hAPP @t898 @t1063)) (= (= @t719 @t1064) (= @t628 @t1063)))))) % 6.34/6.55 (assume @p641 (forall @t700 (=> @t1068 (=> @t1067 (= (= @t1066 @t1065) @t894))))) % 6.34/6.55 (assume @p642 (forall @t1061 (= @t1073 (forall @t8 (=> @t1060 @t1069))))) % 6.34/6.55 (assume @p643 (forall @t1061 (= @t1074 (exists @t8 (and @t1060 @t1069))))) % 6.34/6.55 (assume @p644 (forall (@list @t317 @t911 @t681 @t1075) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1075) @t681)) (=> @t1076 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP (tptp.hAPP @t626 @t1075) @t911)) @t683)))))) % 6.34/6.55 (assume @p645 (forall @t138 (=> @t910 (=> @t909 (tptp.hBOOL (tptp.hAPP @t898 @t1000)))))) % 6.34/6.55 (assume @p646 (forall @t680 (not (= (tptp.hAPP (tptp.hAPP @t626 @t999) @t317) @t636)))) % 6.34/6.55 (assume @p647 (forall @t316 (= @t1078 @t1077))) % 6.34/6.55 (assume @p648 (forall @t316 (= @t1077 @t1078))) % 6.34/6.55 (assume @p649 (forall @t138 (= (tptp.hAPP (tptp.hAPP @t710 @t695) @t694) (tptp.hAPP @t623 @t1079)))) % 6.34/6.55 (assume @p650 (forall @t632 (= @t946 (or @t631 @t755)))) % 6.34/6.55 (assume @p651 (forall @t632 (= @t939 (exists @t53 (= @t628 (tptp.hAPP @t627 @t701)))))) % 6.34/6.55 (assume @p652 (forall @t447 (=> @t603 (tptp.hBOOL (tptp.hAPP @t580 @t1011))))) % 6.34/6.55 (assume @p653 (forall @t579 (=> @t578 (=> @t1015 @t576)))) % 6.34/6.55 (assume @p654 (forall @t579 (=> @t578 (=> @t577 (=> @t1014 @t573))))) % 6.34/6.55 (assume @p655 (forall @t396 (=> @t578 (=> @t1021 @t602)))) % 6.34/6.55 (assume @p656 (forall @t396 (=> @t578 (=> @t584 (=> @t1020 @t600))))) % 6.34/6.55 (assume @p657 (forall @t579 (=> @t578 (=> @t1021 @t583)))) % 6.34/6.55 (assume @p658 (forall @t579 (=> @t578 (=> @t584 (=> @t1024 @t581))))) % 6.34/6.55 (assume @p659 (forall @t514 (=> @t863 (=> @t866 (= @t1080 @t954))))) % 6.34/6.55 (assume @p660 (forall @t514 (=> @t863 (=> @t862 (= @t1080 @t1081))))) % 6.34/6.55 (assume @p661 (forall @t405 (=> @t853 (=> @t519 (=> @t525 (=> @t582 @t1083)))))) % 6.34/6.55 (assume @p662 (forall @t405 (=> @t853 (=> @t519 (=> @t525 (=> @t1021 @t1083)))))) % 6.34/6.55 (assume @p663 (forall @t405 (=> @t853 (=> @t519 (=> @t962 (=> @t1021 (=> @t851 @t1082))))))) % 6.34/6.55 (assume @p664 (forall @t405 (=> @t853 (=> @t958 (=> @t525 (=> @t584 @t1083)))))) % 6.34/6.55 (assume @p665 (forall @t528 (=> @t1086 @t1085))) % 6.34/6.55 (assume @p666 (forall @t528 (=> @t853 @t1085))) % 6.34/6.55 (assume @p667 (forall @t529 (=> @t1086 @t1087))) % 6.34/6.55 (assume @p668 (forall @t529 (=> @t853 @t1087))) % 6.34/6.55 (assume @p669 (forall @t528 (=> @t853 (=> @t1036 @t1088)))) % 6.34/6.55 (assume @p670 (forall @t529 (=> @t853 (=> @t1038 @t1088)))) % 6.34/6.55 (assume @p671 (forall @t658 (=> @t870 (tptp.hBOOL (tptp.hAPP @t932 @t893))))) % 6.34/6.55 (assume @p672 (forall @t875 (=> @t863 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t874) @t352)) @t872)))) % 6.34/6.55 (assume @p673 (forall @t646 (=> @t647 (= (tptp.hAPP @t643 @t265) (tptp.hAPP @t1010 @t644))))) % 6.34/6.55 (assume @p674 (forall @t502 (=> @t1090 (=> @t1089 (tptp.hBOOL (tptp.hAPP @t488 @t782)))))) % 6.34/6.55 (assume @p675 (forall @t502 (=> @t1090 (=> @t1089 (tptp.hBOOL (tptp.hAPP @t488 @t918)))))) % 6.34/6.55 (assume @p676 (forall @t502 (=> @t1090 (=> @t1089 (tptp.hBOOL (tptp.hAPP @t903 @t782)))))) % 6.34/6.55 (assume @p677 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t1091 @t636)) @t338))) % 6.34/6.55 (assume @p678 (forall @t1094 (= (= @t717 @t214) @t1093))) % 6.34/6.55 (assume @p679 (forall @t680 (=> @t1006 @t1095))) % 6.34/6.55 (assume @p680 (= (tptp.hAPP @t623 @t300) @t901)) % 6.34/6.55 (assume @p681 (= @t1096 @t300)) % 6.34/6.55 (assume @p682 (forall @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t998 @t628)) @t628)) @t636)) @t709))) % 6.34/6.55 (assume @p683 (forall @t680 @t1099)) % 6.34/6.55 (assume @p684 (forall @t888 (= (= @t634 @t628) (and (= @t325 @t719) @t1002)))) % 6.34/6.55 (assume @p685 (forall @t680 (and @t1099 (=> (not @t905) (= @t1097 @t636))))) % 6.34/6.55 (assume @p686 (forall @t341 (=> (tptp.hBOOL (tptp.hAPP @t637 @t325)) (= @t1102 @t1100)))) % 6.34/6.55 (assume @p687 (forall @t266 (= (tptp.hAPP @t623 @t265) (tptp.hAPP @t998 @t641)))) % 6.34/6.55 (assume @p688 (forall @t541 (= (tptp.hBOOL (tptp.hAPP @t1091 (tptp.hAPP @t713 @t634))) @t879))) % 6.34/6.55 (assume @p689 (forall @t131 (tptp.hBOOL (tptp.hAPP @t916 @t636)))) % 6.34/6.55 (assume @p690 (forall @t632 (=> @t899 @t886))) % 6.34/6.55 (assume @p691 (forall @t700 (=> @t1068 (=> @t1067 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1066) @t1065)) @t1104))))) % 6.34/6.55 (assume @p692 (forall @t1111 (=> @t1110 (=> @t1109 (=> (tptp.hBOOL (tptp.hAPP @t1106 @t278)) (tptp.hBOOL (tptp.hAPP @t945 @t1105))))))) % 6.34/6.55 (assume @p693 (forall @t1111 (=> @t1110 (=> @t1109 (=> @t1113 (tptp.hBOOL (tptp.hAPP @t1112 @t901))))))) % 6.34/6.55 (assume @p694 (forall @t1127 (=> @t1126 (=> @t1123 (=> @t1121 (=> @t1120 (=> @t1118 (=> @t1117 @t1116)))))))) % 6.34/6.55 (assume @p695 (forall @t1133 (=> @t1132 (=> @t1131 (=> @t1130 (=> (tptp.hBOOL (tptp.hAPP @t1129 @t1119)) @t1128)))))) % 6.34/6.55 (assume @p696 (forall @t1127 (=> @t1126 (=> @t1136 (=> @t1135 (=> @t1113 (=> @t1118 (=> @t1117 @t1128)))))))) % 6.34/6.55 (assume @p697 (forall @t1133 (=> @t1132 (=> @t1120 (=> (tptp.hBOOL (tptp.hAPP @t1134 @t389)) (=> @t1121 @t1116)))))) % 6.34/6.55 (assume @p698 (forall @t1137 (=> @t1123 (=> @t1120 (=> @t1118 (tptp.hBOOL (tptp.hAPP @t1115 @t636))))))) % 6.34/6.55 (assume @p699 (forall @t1137 (=> @t1136 (=> @t1135 (=> @t1118 (tptp.hBOOL (tptp.hAPP @t898 @t1114))))))) % 6.34/6.55 (assume @p700 (forall @t331 (=> @t1054 (= @t972 @t326)))) % 6.34/6.55 (assume @p701 (forall @t131 (tptp.hBOOL (tptp.hAPP @t1138 @t10)))) % 6.34/6.55 (assume @p702 (forall @t316 (=> @t1142 (=> @t1140 @t499)))) % 6.34/6.55 (assume @p703 (forall @t551 (=> @t1145 (=> (tptp.hBOOL (tptp.hAPP @t1144 @t322)) (tptp.hBOOL (tptp.hAPP @t1143 @t322)))))) % 6.34/6.55 (assume @p704 (forall @t316 (=> @t499 @t1142))) % 6.34/6.55 (assume @p705 (forall @t316 (or @t1142 @t1140))) % 6.34/6.55 (assume @p706 (forall @t131 (tptp.hBOOL (tptp.hAPP @t1139 @t10)))) % 6.34/6.55 (assume @p707 (forall @t533 (= (tptp.hBOOL (tptp.hAPP @t1146 @t214)) @t338))) % 6.34/6.55 (assume @p708 (forall @t316 (=> @t1147 @t1142))) % 6.34/6.55 (assume @p709 (forall @t316 (=> @t1148 (=> (not @t1142) (= @t264 @t36))))) % 6.34/6.55 (assume @p710 (forall @t316 (=> @t1142 @t1148))) % 6.34/6.55 (assume @p711 (forall @t541 (= (tptp.hBOOL (tptp.hAPP @t1150 @t534)) @t1149))) % 6.34/6.55 (assume @p712 (forall @t341 (= @t1151 (or @t936 (= @t325 @t109))))) % 6.34/6.55 (assume @p713 (forall @t341 (= @t1153 @t1152))) % 6.34/6.55 (assume @p714 (forall @t131 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t36) @t10))))) % 6.34/6.55 (assume @p715 (forall @t138 (=> @t504 @t1155))) % 6.34/6.55 (assume @p716 (forall @t341 (= @t497 (and @t936 @t506)))) % 6.34/6.55 (assume @p717 (forall @t341 (= @t936 @t536))) % 6.34/6.55 (assume @p718 (forall @t316 (=> @t492 @t1142))) % 6.34/6.55 (assume @p719 (forall @t316 (=> @t1142 (=> @t500 @t492)))) % 6.34/6.55 (assume @p720 (forall @t316 (=> (or @t492 @t499) @t1142))) % 6.34/6.55 (assume @p721 (forall @t615 (=> (tptp.hBOOL (tptp.hAPP @t1154 @t317)) @t1156))) % 6.34/6.55 (assume @p722 (forall @t321 (=> @t1155 @t1156))) % 6.34/6.55 (assume @p723 (forall @t502 (tptp.hBOOL (tptp.hAPP @t1139 @t315)))) % 6.34/6.55 (assume @p724 (forall @t502 (tptp.hBOOL (tptp.hAPP @t1139 @t313)))) % 6.34/6.55 (assume @p725 (forall @t341 (= @t936 (exists @t597 (= @t23 @t596))))) % 6.34/6.55 (assume @p726 (forall @t331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t330) @t329)) @t936))) % 6.34/6.55 (assume @p727 (forall @t568 (=> @t1145 (tptp.hBOOL (tptp.hAPP @t1143 @t569))))) % 6.34/6.55 (assume @p728 (forall @t568 (=> @t1145 (tptp.hBOOL (tptp.hAPP @t1143 @t567))))) % 6.34/6.55 (assume @p729 (forall @t551 (=> @t1145 (tptp.hBOOL (tptp.hAPP @t1157 @t566))))) % 6.34/6.55 (assume @p730 (forall @t565 (=> @t1145 (=> @t1159 (tptp.hBOOL (tptp.hAPP @t1157 @t562)))))) % 6.34/6.55 (assume @p731 (forall @t1163 (=> @t1162 @t1160))) % 6.34/6.55 (assume @p732 (forall @t1163 (=> @t1162 @t1142))) % 6.34/6.55 (assume @p733 (forall @t1163 (=> @t1162 (not (=> @t1142 (not @t1160)))))) % 6.34/6.55 (assume @p734 (forall @t565 (=> @t1145 (=> @t1159 (tptp.hBOOL (tptp.hAPP @t1164 (tptp.hAPP @t1050 @t558))))))) % 6.34/6.55 (assume @p735 (forall @t551 (=> @t1145 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1049) @t1048))))) % 6.34/6.55 (assume @p736 (forall @t551 (=> @t1145 (tptp.hBOOL (tptp.hAPP @t1164 @t1051))))) % 6.34/6.55 (assume @p737 (forall @t266 (tptp.hBOOL (tptp.hAPP @t1141 (tptp.hAPP @t781 @t1165))))) % 6.34/6.55 (assume @p738 (forall @t266 (tptp.hBOOL (tptp.hAPP @t1141 @t1165)))) % 6.34/6.55 (assume @p739 (forall @t341 (= (= @t973 @t933) @t1168))) % 6.34/6.55 (assume @p740 (forall @t131 (= (tptp.hAPP @t917 @t933) @t10))) % 6.34/6.55 (assume @p741 (forall @t341 (= (= @t933 @t973) @t1168))) % 6.34/6.55 (assume @p742 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t780 @t933) @t10) @t10))) % 6.34/6.55 (assume @p743 (forall (@list @t264 @t11 @t10 @t9 @t111) (=> @t270 (=> @t1140 (tptp.c_Natural_Oevaln @t111 @t9 @t264 @t11))))) % 6.34/6.55 (assume @p744 (forall @t331 (=> @t1054 (= @t1169 @t936)))) % 6.34/6.55 (assume @p745 (= @t933 @t300)) % 6.34/6.55 (assume @p746 (forall @t541 (= @t495 @t1152))) % 6.34/6.55 (assume @p747 (forall @t341 (= @t537 @t936))) % 6.34/6.55 (assume @p748 (forall @t341 (= @t1170 @t497))) % 6.34/6.55 (assume @p749 (forall @t316 (=> @t1142 @t542))) % 6.34/6.55 (assume @p750 (forall @t316 (=> @t492 @t1147))) % 6.34/6.55 (assume @p751 (forall @t341 (=> @t936 @t539))) % 6.34/6.55 (assume @p752 (forall @t316 (=> @t1147 @t492))) % 6.34/6.55 (assume @p753 (forall @t131 (= @t36 @t1172))) % 6.34/6.55 (assume @p754 (forall @t131 (= @t36 @t1173))) % 6.34/6.55 (assume @p755 (forall @t316 (=> (= @t264 @t782) (or (= @t10 @t933) @t1174)))) % 6.34/6.55 (assume @p756 (forall @t331 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t977) @t976)) @t936))) % 6.34/6.55 (assume @p757 (forall @t700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t699) @t698)) @t1175))) % 6.34/6.55 (assume @p758 (forall @t341 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t634) @t633)) @t936))) % 6.34/6.55 (assume @p759 (= @t901 @t1176)) % 6.34/6.55 (assume @p760 (= @t1176 @t901)) % 6.34/6.55 (assume @p761 (= @t933 @t1096)) % 6.34/6.55 (assume @p762 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t1177 @t973)) (and (tptp.hBOOL (tptp.hAPP @t1177 @t325)) (tptp.hBOOL (tptp.hAPP @t1177 @t23)))))) % 6.34/6.55 (assume @p763 (forall @t331 (= @t1169 @t1178))) % 6.34/6.55 (assume @p764 (forall @t336 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t968) @t966)) @t1178))) % 6.34/6.55 (assume @p765 (forall @t700 (=> @t1068 (=> @t1067 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1066) @t1065)) @t1180))))) % 6.34/6.55 (assume @p766 (forall @t632 (=> (or (tptp.hBOOL (tptp.hAPP @t637 @t625)) @t1002) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t883) @t719)) @t939)))) % 6.34/6.55 (assume @p767 (forall @t331 (= @t972 (or @t963 @t326)))) % 6.34/6.55 (assume @p768 (forall (@list @t322 @t546 @t258 @t544) (= (tptp.hAPP @t1182 (tptp.hAPP @t1181 @t322)) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t554) @t258)) @t322)))) % 6.34/6.55 (assume @p769 (forall @t331 (=> @t1054 (= @t1056 @t497)))) % 6.34/6.55 (assume @p770 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t898)) % 6.34/6.55 (assume @p771 (forall @t436 (=> @t1183 (tptp.hBOOL (tptp.hAPP @t995 @t136))))) % 6.34/6.55 (assume @p772 (forall @t658 (=> @t1186 (=> @t1185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1184) @t1046)))))) % 6.34/6.55 (assume @p773 (forall @t875 (=> @t1191 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1190) @t1189)) @t1188)))) % 6.34/6.55 (assume @p774 (forall @t1197 (=> @t1196 (=> @t1195 @t1194)))) % 6.34/6.55 (assume @p775 (forall @t830 (=> @t1183 (=> @t1185 @t1199)))) % 6.34/6.55 (assume @p776 (forall @t1197 (=> @t1196 (=> @t652 (=> @t1201 @t1193))))) % 6.34/6.55 (assume @p777 (forall @t830 (=> @t1183 (=> @t654 (=> @t1202 @t1198))))) % 6.34/6.55 (assume @p778 (forall @t865 (=> @t1196 (=> @t1017 (=> @t1203 @t847))))) % 6.34/6.55 (assume @p779 (forall @t1210 (=> @t1209 (= @t1208 (forall @t8 @t1205))))) % 6.34/6.55 (assume @p780 (forall @t658 (=> @t1211 (or @t1185 @t1195)))) % 6.34/6.55 (assume @p781 (forall @t875 (=> @t671 (= @t894 (and @t1213 @t1188))))) % 6.34/6.55 (assume @p782 (forall @t658 (=> @t1183 (=> @t137 @t1185)))) % 6.34/6.55 (assume @p783 (forall (@list @t378 @t1 @t2 @t30 @t127) (=> @t1209 (=> @t1208 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t668) @t1214)))))) % 6.34/6.55 (assume @p784 (forall @t1216 (=> @t671 (=> @t1188 @t1215)))) % 6.34/6.55 (assume @p785 (forall @t396 (=> @t1218 (=> @t878 (=> @t1020 @t1217))))) % 6.34/6.55 (assume @p786 (forall @t396 (=> @t1196 (=> @t878 (=> (tptp.hBOOL (tptp.hAPP @t961 @t389)) @t1219))))) % 6.34/6.55 (assume @p787 (forall @t396 (=> @t1218 (=> @t958 (=> @t406 @t1217))))) % 6.34/6.55 (assume @p788 (forall @t410 (=> @t1196 (=> @t1017 (=> @t406 @t1219))))) % 6.34/6.55 (assume @p789 (forall @t658 (=> @t1196 (=> @t1185 (=> @t1195 @t137))))) % 6.34/6.55 (assume @p790 (forall @t830 (=> @t1183 (=> @t1185 (=> @t1202 @t1220))))) % 6.34/6.55 (assume @p791 (forall @t1221 (=> @t1196 (=> @t1195 (=> @t1185 @t137))))) % 6.34/6.55 (assume @p792 (forall @t1197 (=> @t1196 (=> @t1195 (=> @t1201 @t1222))))) % 6.34/6.55 (assume @p793 (forall @t658 (=> @t1211 (=> (not @t1185) @t1195)))) % 6.34/6.55 (assume @p794 (forall @t436 (=> @t1183 (not (tptp.hBOOL (tptp.hAPP @t653 @t136)))))) % 6.34/6.55 (assume @p795 (forall @t875 (=> @t1228 (= @t1227 (or @t1226 @t1224))))) % 6.34/6.55 (assume @p796 (forall @t875 (=> @t1228 (= @t1229 (or @t1224 @t894))))) % 6.34/6.55 (assume @p797 (forall @t658 (=> @t1211 (or @t654 @t137 @t652)))) % 6.34/6.55 (assume @p798 (forall @t1216 (=> @t1228 (=> (not @t1224) @t1230)))) % 6.34/6.55 (assume @p799 (forall @t658 (=> @t1211 @t656))) % 6.34/6.55 (assume @p800 (forall @t658 (=> @t1196 (=> @t654 @t505)))) % 6.34/6.55 (assume @p801 (forall @t658 (=> @t1183 (=> @t654 (not @t652))))) % 6.34/6.55 (assume @p802 (forall @t658 (=> @t1196 (=> @t654 @t1231)))) % 6.34/6.55 (assume @p803 (forall @t579 (=> @t1183 (=> @t519 (not @t847))))) % 6.34/6.55 (assume @p804 (forall @t865 (=> @t1196 (=> @t847 (not @t519))))) % 6.34/6.55 (assume @p805 (forall @t396 (=> @t1218 (=> @t878 (=> @t601 @t1232))))) % 6.34/6.55 (assume @p806 (forall @t396 (=> @t1196 (=> @t878 (=> (tptp.hBOOL (tptp.hAPP @t524 @t389)) @t1233))))) % 6.34/6.55 (assume @p807 (forall @t396 (=> @t1218 (=> @t519 (=> @t406 @t1232))))) % 6.34/6.55 (assume @p808 (forall @t410 (=> @t1196 (=> @t847 (=> @t406 @t1233))))) % 6.34/6.55 (assume @p809 (forall @t830 (=> @t1183 (=> @t654 @t1199)))) % 6.34/6.55 (assume @p810 (forall @t1197 (=> @t1196 (=> @t652 @t1194)))) % 6.34/6.55 (assume @p811 (forall @t658 (=> @t1211 (=> @t655 (=> @t505 @t652))))) % 6.34/6.55 (assume @p812 (forall @t369 (=> @t1234 (= @t869 @t278)))) % 6.34/6.55 (assume @p813 (forall @t436 (=> @t1234 (= @t892 @t136)))) % 6.34/6.55 (assume @p814 (forall @t579 (=> @t1234 (= (tptp.hAPP @t736 @t737) @t737)))) % 6.34/6.55 (assume @p815 (forall @t436 (=> @t1186 (= (tptp.hAPP @t721 @t1046) @t136)))) % 6.34/6.55 (assume @p816 (forall (@list @t378 @t1235 @t127 @t30) (=> (tptp.class_Groups_Ouminus @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t1237) @t1235) @t378) (tptp.hAPP @t740 @t1236))))) % 6.34/6.55 (assume @p817 (forall @t875 (=> @t1191 (= (= @t1190 @t1189) @t894)))) % 6.34/6.55 (assume @p818 (forall @t875 (=> @t1228 (= @t1229 @t1188)))) % 6.34/6.55 (assume @p819 (forall @t875 (=> @t1228 (= (not @t1213) @t1224)))) % 6.34/6.55 (assume @p820 (forall @t658 (=> @t1211 (or @t1185 @t652)))) % 6.34/6.55 (assume @p821 (forall @t875 (=> @t671 (= @t1226 (and @t1213 @t1227))))) % 6.34/6.55 (assume @p822 (forall @t875 (=> (tptp.class_Orderings_Opreorder @t30) (= @t1226 (and @t1213 (not @t1188)))))) % 6.34/6.55 (assume @p823 (forall @t875 (=> @t671 (= @t1213 (or @t1226 @t894))))) % 6.34/6.55 (assume @p824 (forall @t658 (=> @t1211 (=> @t655 @t1195)))) % 6.34/6.55 (assume @p825 (forall @t1221 (=> @t1211 (=> (not @t1195) @t654)))) % 6.34/6.55 (assume @p826 (forall @t875 (=> @t1228 (=> @t1229 @t1215)))) % 6.34/6.55 (assume @p827 (forall @t579 (=> @t1196 (=> @t1203 (=> @t958 @t519))))) % 6.34/6.55 (assume @p828 (forall @t579 (=> @t1196 (=> @t1203 (=> @t1017 @t847))))) % 6.34/6.55 (assume @p829 (forall @t1221 (=> @t1211 (=> @t1195 @t655)))) % 6.34/6.55 (assume @p830 (forall @t658 (=> @t1183 (=> @t654 @t1185)))) % 6.34/6.55 (assume @p831 (forall @t875 (=> @t1228 (=> @t1213 @t1230)))) % 6.34/6.55 (assume @p832 (forall @t658 (=> @t1196 (=> @t1185 (or @t654 @t137))))) % 6.34/6.55 (assume @p833 (forall @t579 (=> @t1196 (=> @t958 (=> @t1203 @t519))))) % 6.34/6.55 (assume @p834 (forall @t486 (=> @t1243 (=> @t482 (exists @t597 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t595) @t23)) (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t1241 @t595)) (not @t1240))) (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t301 @t595) @t933))))))))) % 6.34/6.55 (assume @p835 (forall @t436 (=> @t1247 (and (=> @t1246 (= @t1244 @t364)) (=> (not @t1246) (and (=> @t1245 (= @t1244 @t929)) (=> (not @t1245) (= @t1244 @t1045)))))))) % 6.34/6.55 (assume @p836 (forall @t369 (=> @t657 (=> @t577 (= @t1248 @t1045))))) % 6.34/6.55 (assume @p837 (forall @t359 (=> @t587 (= (= @t1249 @t1043) @t585)))) % 6.34/6.55 (assume @p838 (forall @t1255 (and (=> @t1253 (= @t1251 @t636)) (=> @t1254 (and (=> @t1252 (= @t1251 @t901)) (=> (not @t1252) (= @t1251 @t1250))))))) % 6.34/6.55 (assume @p839 (forall (@list @t135 @t1262 @t1256 @t609) (=> (= @t609 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1263 @t1262)) @t135)) (=> (and (=> @t1260 (and @t909 (tptp.hBOOL (tptp.hAPP @t672 @t1256)))) (=> @t1261 (and (tptp.hBOOL (tptp.hAPP @t1259 @t135)) (tptp.hBOOL (tptp.hAPP @t1258 @t636))))) (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t609 @t1256) @t135)))))) % 6.34/6.55 (assume @p840 (forall @t1266 (=> @t1265 (=> @t1130 (=> @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1264) @t636))))))) % 6.34/6.55 (assume @p841 (forall @t1266 (=> @t1265 (=> @t1130 (=> @t1131 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1267) @t1264))))))) % 6.34/6.55 (assume @p842 (forall @t1210 (=> @t1209 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t1206) @t2) @t1)) (and @t1208 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1207 @t1) @t2)))))))) % 6.34/6.55 (assume @p843 (forall @t369 (=> @t657 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t1248) @t1248)))) % 6.34/6.55 (assume @p844 (forall @t579 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1268 @t389) @t1268)))) % 6.34/6.55 (assume @p845 (forall @t369 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t364 @t278) @t364)))) % 6.34/6.55 (assume @p846 (forall @t369 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t278 @t364) @t278)))) % 6.34/6.55 (assume @p847 (forall @t369 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t278 @t278) @t364)))) % 6.34/6.55 (assume @p848 (forall @t579 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t392 @t389) @t1268)))) % 6.34/6.55 (assume @p849 (forall @t865 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t409 @t389) @t1268)))) % 6.34/6.55 (assume @p850 (forall @t396 (=> @t1269 (= @t1272 @t1271)))) % 6.34/6.55 (assume @p851 (forall @t396 (=> @t1269 (= @t1272 @t1275)))) % 6.34/6.55 (assume @p852 (forall @t396 (=> @t1269 (= @t1272 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1274 @t1270) @t111))))) % 6.34/6.55 (assume @p853 (forall @t396 (=> @t1269 (= @t1271 @t1272)))) % 6.34/6.55 (assume @p854 (forall @t528 (=> @t1269 (= @t1275 @t1272)))) % 6.34/6.55 (assume @p855 (forall @t1278 (=> @t1269 (=> @t1277 (=> @t1276 (= @t1272 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t365 @t441) @t608) @t111))))))) % 6.34/6.55 (assume @p856 (forall @t396 (=> @t1269 (= @t1279 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t736 @t1270) @t111))))) % 6.34/6.55 (assume @p857 (forall @t396 (=> @t1269 (= @t1279 @t1281)))) % 6.34/6.55 (assume @p858 (forall @t396 (=> @t1269 (= @t1279 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1280 @t1270) @t111))))) % 6.34/6.55 (assume @p859 (forall @t529 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t844 @t843) (tptp.hAPP @t842 @t1268))))) % 6.34/6.55 (assume @p860 (forall @t528 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t809 @t760) (tptp.hAPP (tptp.hAPP @t730 @t1268) @t111))))) % 6.34/6.55 (assume @p861 (forall @t528 (=> @t1269 (= @t1281 @t1279)))) % 6.34/6.55 (assume @p862 (forall @t1278 (=> @t1269 (=> @t1277 (=> @t1276 (= @t1279 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t730 @t441) @t608) @t111))))))) % 6.34/6.55 (assume @p863 (forall @t579 (=> @t1283 (= @t1282 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t721 @t1268) @t389))))) % 6.34/6.55 (assume @p864 (forall (@list @t441 @t389 @t278 @t35) (=> @t1283 (=> (= @t1268 (tptp.c_Divides_Odiv__class_Omod @t35 @t441 @t389)) (= @t1282 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t721 @t441) @t389)))))) % 6.34/6.55 (assume @p865 (forall @t279 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t278) @t636))) % 6.34/6.55 (assume @p866 (forall @t1284 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t636 @t389) @t636))) % 6.34/6.55 (assume @p867 (forall @t1290 (= @t1289 @t1286))) % 6.34/6.55 (assume @p868 (forall @t1290 (= @t1286 @t1289))) % 6.34/6.55 (assume @p869 (forall (@list @t264 @t136) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t713 @t1291) @t264) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t713 @t136) @t264)))) % 6.34/6.55 (assume @p870 (forall @t1295 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1294 @t1293) (tptp.hAPP @t713 @t1292)))) % 6.34/6.55 (assume @p871 (forall @t1295 (= @t1297 (tptp.hAPP @t713 @t1296)))) % 6.34/6.55 (assume @p872 (forall @t359 (=> @t587 (= (= @t1249 @t352) @t353)))) % 6.34/6.55 (assume @p873 (forall @t447 (=> @t1247 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t364) @t364)))) % 6.34/6.55 (assume @p874 (forall @t579 (=> @t657 (= (tptp.c_Groups_Osgn__class_Osgn @t35 @t737) (tptp.hAPP (tptp.hAPP @t730 @t1248) (tptp.c_Groups_Osgn__class_Osgn @t35 @t389)))))) % 6.34/6.55 (assume @p875 (forall @t579 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t737 @t389) @t364)))) % 6.34/6.55 (assume @p876 (forall @t865 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t735 @t389) @t364)))) % 6.34/6.55 (assume @p877 (forall @t396 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1298 @t389) @t1268)))) % 6.34/6.55 (assume @p878 (forall @t528 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1299 @t389) @t1268)))) % 6.34/6.55 (assume @p879 (forall @t369 (=> @t1269 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t278 @t929) @t364)))) % 6.34/6.55 (assume @p880 (forall @t1301 (=> @t1300 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t264 @t322)) @t264))))) % 6.34/6.55 (assume @p881 (forall @t138 (=> @t910 (=> @t909 (tptp.hBOOL (tptp.hAPP @t898 @t1302)))))) % 6.34/6.55 (assume @p882 (forall @t1305 (=> @t1304 @t1303))) % 6.34/6.55 (assume @p883 (forall @t1305 (=> @t1307 @t1306))) % 6.34/6.55 (assume @p884 (forall @t1310 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t325 @t819) @t636) (exists @t1309 (= @t325 (tptp.hAPP (tptp.hAPP @t710 @t819) @t1308)))))) % 6.34/6.55 (assume @p885 (forall @t1315 (=> (not (= @t1314 @t636)) @t1312))) % 6.34/6.55 (assume @p886 (forall @t1315 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t785 @t558) @t636)) @t1312))) % 6.34/6.55 (assume @p887 (forall @t1295 (=> @t1319 (=> @t1317 @t1316)))) % 6.34/6.55 (assume @p888 (forall @t1305 (=> @t1304 (and @t1320 @t1303)))) % 6.34/6.55 (assume @p889 (forall @t1305 (=> @t1304 @t1320))) % 6.34/6.55 (assume @p890 (forall @t1295 (=> @t1323 (=> @t1322 @t1316)))) % 6.34/6.55 (assume @p891 (forall @t1305 (=> @t1307 (and @t1324 @t1306)))) % 6.34/6.55 (assume @p892 (forall @t1305 (=> @t1307 @t1324))) % 6.34/6.55 (assume @p893 (forall @t359 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1249) @t352)) @t585)))) % 6.34/6.55 (assume @p894 (forall @t359 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t588 @t1249)) @t589)))) % 6.34/6.55 (assume @p895 (forall @t1295 (=> @t1110 (=> @t1327 (= @t1292 @t1326))))) % 6.34/6.55 (assume @p896 (forall @t369 (=> @t657 (=> @t584 (= @t1248 @t929))))) % 6.34/6.55 (assume @p897 (forall @t359 (=> @t587 (= (= @t1249 @t926) @t589)))) % 6.34/6.55 (assume @p898 (forall @t1340 (= (tptp.hBOOL (tptp.hAPP @t27 @t1339)) (and (=> @t1338 @t482) (=> @t1337 (forall @t1333 (=> @t1336 @t1328))) (=> @t1335 (forall @t1333 (=> @t1332 @t1328))))))) % 6.34/6.55 (assume @p899 (forall @t1341 (=> @t1265 (=> @t1113 (=> @t1121 (tptp.hBOOL (tptp.hAPP @t898 @t1264))))))) % 6.34/6.55 (assume @p900 (forall @t1341 (=> @t1265 (=> @t1113 (=> @t1121 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1264) @t1267))))))) % 6.34/6.55 (assume @p901 (forall @t1345 (and (=> @t1343 (= @t1342 @t1311)) (=> @t1344 (= @t1342 @t1314))))) % 6.34/6.55 (assume @p902 (forall @t1350 (=> @t1335 (= @t1349 (forall @t1333 (=> @t1332 @t1346)))))) % 6.34/6.55 (assume @p903 (forall @t1350 (=> @t1337 (= @t1349 (forall @t1333 (=> @t1336 @t1346)))))) % 6.34/6.55 (assume @p904 (forall @t1353 (=> @t1265 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t1267) (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1124 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1352 @t111))) @t1292))))) % 6.34/6.55 (assume @p905 (forall @t138 (=> @t910 (=> @t909 (tptp.hBOOL (tptp.hAPP @t898 @t1354)))))) % 6.34/6.55 (assume @p906 (forall @t1340 (= (tptp.hBOOL @t1348) (and (=> @t1338 @t1355) (=> @t1337 (forall @t1242 (=> (exists @t592 @t1336) @t1240))) (=> @t1335 (forall @t1242 (=> (exists @t592 @t1332) @t1240))))))) % 6.34/6.55 (assume @p907 (forall (@list @t1356 @t135 @t1256 @t609) (=> (= @t609 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1263 @t135)) @t1356)) (=> (and (=> @t1260 (and (tptp.hBOOL (tptp.hAPP @t898 @t1356)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1356) @t1256)))) (=> @t1261 (and (tptp.hBOOL (tptp.hAPP @t1259 @t1356)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1356) @t636))))) (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t1347 @t609) @t1256) @t135)))))) % 6.34/6.55 (assume @p908 (forall (@list @t23 @t325 @t27) (= (tptp.hBOOL (tptp.hAPP @t27 @t1358)) (or (and @t338 @t485) (exists @t1309 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 (tptp.hAPP @t965 @t1308)) @t325)) (tptp.hBOOL (tptp.hAPP @t496 (tptp.hAPP @t965 (tptp.hAPP tptp.c_Nat_OSuc @t1308)))) (tptp.hBOOL (tptp.hAPP @t27 @t1308)))))))) % 6.34/6.55 (assume @p909 (forall @t1290 (= (tptp.hAPP (tptp.hAPP @t1357 @t1362) @t111) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t1361 @t111)) @t1360)) (tptp.hAPP (tptp.hAPP @t1357 (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t278 @t111)) @t1359)) @t111))))) % 6.34/6.55 (assume @p910 (forall @t138 (= (tptp.hAPP (tptp.hAPP @t1347 @t695) @t694) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t1357 @t136) @t135))))) % 6.34/6.55 (assume @p911 (forall @t1295 (= (tptp.hAPP @t623 @t1365) (tptp.hAPP (tptp.hAPP @t1347 @t1364) @t1363)))) % 6.34/6.55 (assume @p912 (forall @t1290 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t278 @t1368) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t1367 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1365 @t111))) @t1366)))) % 6.34/6.55 (assume @p913 (forall @t1290 (= (tptp.hAPP (tptp.hAPP @t1357 @t1370) @t111) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t1369 @t1360)) (tptp.hAPP (tptp.hAPP @t1357 (tptp.hAPP @t1369 @t1359)) @t111))))) % 6.34/6.55 (assume @p914 (forall @t324 (=> @t1142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 (tptp.hAPP @t1372 @t322)) (tptp.hAPP @t1371 @t322)))))) % 6.34/6.55 (assume @p915 (forall @t316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1373) @t264)))) % 6.34/6.55 (assume @p916 (forall @t1284 (= (tptp.hAPP (tptp.hAPP @t1347 @t636) @t389) @t636))) % 6.34/6.55 (assume @p917 (forall @t316 (= @t1376 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1375 @t10)))) % 6.34/6.55 (assume @p918 (forall @t1290 (= (tptp.hAPP @t1361 @t1368) (tptp.hAPP (tptp.hAPP @t1357 @t1365) @t111)))) % 6.34/6.55 (assume @p919 (forall @t316 @t1377)) % 6.34/6.55 (assume @p920 (forall @t316 (tptp.hBOOL (tptp.hAPP @t1378 @t264)))) % 6.34/6.55 (assume @p921 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t780 @t1374) @t322) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t983 @t919)))) % 6.34/6.55 (assume @p922 (forall @t987 (= (tptp.hAPP @t984 @t1374) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t986 @t985)))) % 6.34/6.55 (assume @p923 (forall @t1295 (= @t1381 @t1380))) % 6.34/6.55 (assume @p924 (forall @t1295 (= (tptp.hAPP @t1379 @t1293) @t1352))) % 6.34/6.55 (assume @p925 (forall @t369 (=> @t1269 (= (tptp.hAPP (tptp.hAPP @t1382 @t364) @t278) @t364)))) % 6.34/6.55 (assume @p926 (forall @t369 (=> @t1269 (= (tptp.hAPP @t1383 @t364) @t364)))) % 6.34/6.55 (assume @p927 (forall @t369 (=> @t1269 (= (tptp.hAPP @t1383 @t929) @t278)))) % 6.34/6.55 (assume @p928 (forall @t138 (=> @t910 (= @t1387 @t1384)))) % 6.34/6.55 (assume @p929 (forall @t138 (=> @t910 (=> @t909 (= @t1384 @t1387))))) % 6.34/6.55 (assume @p930 (forall @t266 (= (tptp.hAPP @t1372 @t300) @t264))) % 6.34/6.55 (assume @p931 (forall @t316 @t1388)) % 6.34/6.55 (assume @p932 (forall @t987 (and (=> @t1391 (= @t1389 @t214)) (=> (not @t1391) @t1390)))) % 6.34/6.55 (assume @p933 (forall @t316 (and (=> @t1392 (= @t1376 @t214)) (=> (not @t1392) (= @t1376 @t1375))))) % 6.34/6.55 (assume @p934 (forall @t266 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t264 @t300) @t214))) % 6.34/6.55 (assume @p935 (forall @t138 (=> @t910 (=> @t909 (tptp.hBOOL (tptp.hAPP @t898 @t1386)))))) % 6.34/6.55 (assume @p936 (forall @t502 (=> @t530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1374) @t10))))) % 6.34/6.55 (assume @p937 (forall @t1399 (=> @t1398 (= @t1396 (tptp.hBOOL (tptp.hAPP @t1393 @t636)))))) % 6.34/6.55 (assume @p938 (forall @t1399 (=> @t1401 (= @t1396 (tptp.hBOOL (tptp.hAPP @t637 @t140)))))) % 6.34/6.55 (assume @p939 (forall @t1295 (=> @t1402 (=> @t1307 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1352) @t636)))))) % 6.34/6.55 (assume @p940 (forall @t279 (=> @t1404 (= (tptp.hAPP @t1351 @t278) @t901)))) % 6.34/6.55 (assume @p941 (forall @t1310 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t325 @t819) @t214) (exists @t1309 (= @t325 (tptp.hAPP (tptp.hAPP @t780 @t819) @t1308)))))) % 6.34/6.55 (assume @p942 (forall @t279 (and (= (tptp.hAPP @t1351 @t636) @t636) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t636) @t278)))) % 6.34/6.55 (assume @p943 (forall @t1295 (= (tptp.hAPP (tptp.hAPP @t1347 @t1292) @t389) @t636))) % 6.34/6.55 (assume @p944 (forall @t1406 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1405 @t10) @t1374))) % 6.34/6.55 (assume @p945 (forall @t1290 (= (tptp.hAPP (tptp.hAPP @t1347 @t1326) @t111) (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1351 @t111)) @t1408)) (tptp.hAPP (tptp.hAPP @t1347 (tptp.hAPP (tptp.hAPP @t626 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t111)) @t1287)) @t111))))) % 6.34/6.55 (assume @p946 (forall @t138 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t695 @t694) (tptp.hAPP @t623 @t1409)))) % 6.34/6.55 (assume @p947 (forall @t1295 (= (tptp.hAPP @t623 @t1366) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1364 @t1363)))) % 6.34/6.55 (assume @p948 (forall @t529 (=> @t1269 @t1414))) % 6.34/6.55 (assume @p949 (forall @t529 (=> @t1269 (=> @t1413 (= (tptp.hAPP (tptp.hAPP @t1382 @t809) @t760) @t1410))))) % 6.34/6.55 (assume @p950 (forall @t865 (=> @t1269 (=> @t800 (= (tptp.hAPP (tptp.hAPP @t1382 @t735) @t389) @t278))))) % 6.34/6.55 (assume @p951 (forall @t865 (=> @t1269 (=> @t800 (= (tptp.hAPP @t1415 @t389) @t278))))) % 6.34/6.55 (assume @p952 (forall @t529 (=> @t1269 (and (=> @t1412 (= @t1411 @t364)) @t1414)))) % 6.34/6.55 (assume @p953 (forall @t369 (=> @t1269 (=> @t801 (= (tptp.hAPP @t1383 @t278) @t929))))) % 6.34/6.55 (assume @p954 (forall @t579 (=> @t1269 (= (tptp.hAPP (tptp.hAPP @t1382 @t1268) @t389) @t364)))) % 6.34/6.55 (assume @p955 (forall @t324 (=> @t1417 (=> @t1142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 (tptp.hAPP @t1416 @t10)) (tptp.hAPP @t1416 @t264))))))) % 6.34/6.55 (assume @p956 (forall @t502 (=> @t530 (= (tptp.hAPP (tptp.hAPP @t1357 @t782) @t10) @t264)))) % 6.34/6.55 (assume @p957 (forall @t502 (=> @t530 (= (tptp.hAPP (tptp.hAPP @t1357 @t918) @t10) @t264)))) % 6.34/6.55 (assume @p958 (forall @t987 (=> @t712 @t1390))) % 6.34/6.55 (assume @p959 (forall @t502 (=> @t1419 (=> @t1417 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1373) @t264)))))) % 6.34/6.55 (assume @p960 (forall @t1421 (= (= @t1420 @t636) (or @t1338 (and (tptp.hBOOL (tptp.hAPP @t898 @t178)) (tptp.hBOOL (tptp.hAPP @t716 @t327))) (and @t1093 (tptp.hBOOL (tptp.hAPP @t1331 @t178))))))) % 6.34/6.55 (assume @p961 (forall @t1399 (=> @t1398 (= @t1423 @t1422)))) % 6.34/6.55 (assume @p962 (forall (@list @t178 @t327) (=> @t1337 (= (tptp.hBOOL (tptp.hAPP @t637 @t1420)) (tptp.hBOOL (tptp.hAPP @t1424 @t178)))))) % 6.34/6.55 (assume @p963 (forall @t1426 (=> @t1422 (= (tptp.hBOOL (tptp.hAPP @t637 @t1395)) (and (tptp.hBOOL (tptp.hAPP @t1425 @t140)) @t1398))))) % 6.34/6.55 (assume @p964 (forall @t1429 (=> @t1323 (=> @t1118 (=> @t1117 (tptp.hBOOL (tptp.hAPP @t1428 @t1427))))))) % 6.34/6.55 (assume @p965 (forall @t1295 (=> @t1323 (=> @t1304 @t1430)))) % 6.34/6.55 (assume @p966 (forall @t1295 (=> @t1323 (=> @t1322 @t1431)))) % 6.34/6.55 (assume @p967 (forall @t1399 (=> @t1401 (= @t1423 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t140) @t636)))))) % 6.34/6.55 (assume @p968 (forall @t1295 (=> @t1319 (=> @t1307 @t1430)))) % 6.34/6.55 (assume @p969 (forall @t1429 (=> @t1402 (=> @t1118 (=> @t1117 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1427) @t1352))))))) % 6.34/6.55 (assume @p970 (forall @t1295 (=> @t1319 (=> @t1317 @t1431)))) % 6.34/6.55 (assume @p971 (forall @t1434 (=> @t1433 (=> @t1307 (tptp.hBOOL (tptp.hAPP @t1428 @t1432)))))) % 6.34/6.55 (assume @p972 (forall @t1434 (=> @t1433 (=> @t1304 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1432) @t1352)))))) % 6.34/6.55 (assume @p973 (forall @t502 (=> @t530 (tptp.hBOOL (tptp.hAPP @t1378 @t10))))) % 6.34/6.55 (assume @p974 (forall (@list @t322 @t136) (=> (tptp.hBOOL (tptp.hAPP @t637 @t136)) (=> (tptp.hBOOL (tptp.hAPP @t902 @t322)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP @t1385 @t322)) @t136)))))) % 6.34/6.55 (assume @p975 (forall @t1353 (=> @t1265 (= (tptp.hAPP @t1351 @t1267) (tptp.hAPP (tptp.hAPP @t1347 @t1352) @t111))))) % 6.34/6.55 (assume @p976 (forall @t1406 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1405) @t10) @t1376))) % 6.34/6.55 (assume @p977 (forall (@list @t322 @t389 @t278) (= (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t710 @t1352) @t389)) @t1292)) @t322) @t1435))) % 6.34/6.55 (assume @p978 (forall (@list @t322 @t278 @t389) (= (tptp.hAPP (tptp.hAPP @t626 @t1436) @t322) @t1435))) % 6.34/6.55 (assume @p979 (forall @t1290 (= (tptp.hAPP (tptp.hAPP @t1347 @t1285) @t111) (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1107 @t1408)) (tptp.hAPP (tptp.hAPP @t1347 @t1288) @t111))))) % 6.34/6.55 (assume @p980 (forall @t1295 (= @t278 @t1436))) % 6.34/6.55 (assume @p981 (forall @t410 (=> @t1269 (=> @t800 (= (tptp.hAPP (tptp.hAPP @t1382 @t1299) @t389) @t1437))))) % 6.34/6.55 (assume @p982 (forall @t410 (=> @t1269 (=> @t800 (= (tptp.hAPP (tptp.hAPP @t1382 @t1298) @t389) @t1437))))) % 6.34/6.55 (assume @p983 (forall @t865 (=> @t1269 (=> @t800 (= (tptp.hAPP (tptp.hAPP @t1382 @t409) @t389) @t1438))))) % 6.34/6.55 (assume @p984 (forall @t865 (=> @t1269 (=> @t800 (= (tptp.hAPP (tptp.hAPP @t1382 @t392) @t389) @t1438))))) % 6.34/6.55 (assume @p985 (forall @t396 (=> @t1269 (= (tptp.hAPP (tptp.hAPP @t365 @t1440) @t111) @t383)))) % 6.34/6.55 (assume @p986 (forall @t410 (=> @t1269 (= (tptp.hAPP (tptp.hAPP @t365 @t1441) @t111) @t383)))) % 6.34/6.55 (assume @p987 (forall @t579 (=> @t1269 (= @t1440 @t278)))) % 6.34/6.55 (assume @p988 (forall @t865 (=> @t1269 (= @t1441 @t278)))) % 6.34/6.55 (assume @p989 (forall @t579 (=> @t1269 (= (tptp.hAPP (tptp.hAPP @t365 @t1268) @t1439) @t278)))) % 6.34/6.55 (assume @p990 (forall @t1340 (= (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t1357 @t23) @t327))) (and (=> @t963 @t485) (=> @t1444 (forall @t1333 (=> @t1443 (=> @t1442 @t1240)))))))) % 6.34/6.55 (assume @p991 (forall @t1341 (=> @t1446 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t876) @t389)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1445) @t1368)))))) % 6.34/6.55 (assume @p992 (forall @t1340 (= (tptp.hBOOL (tptp.hAPP @t27 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t23 @t327))) (and (=> @t963 @t482) (=> @t1444 (forall @t1333 (=> @t1443 (=> @t1442 @t1328)))))))) % 6.34/6.55 (assume @p993 (forall (@list @t264 @t322) (=> (tptp.hBOOL (tptp.hAPP @t1418 @t322)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t986) @t322) @t933)))) % 6.34/6.55 (assume @p994 (forall @t138 (=> @t910 (=> @t909 (= @t1448 @t1447))))) % 6.34/6.55 (assume @p995 (forall @t138 (=> @t910 (=> @t909 (= @t1447 @t1448))))) % 6.34/6.55 (assume @p996 (forall (@list @t325 @t1449 @t23) (=> @t531 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 (tptp.hAPP @t965 @t1449)) @t325)) (tptp.hBOOL (tptp.hAPP @t496 (tptp.hAPP @t965 (tptp.hAPP tptp.c_Nat_OSuc @t1449))))) (= @t1449 @t1358))))) % 6.34/6.55 (assume @p997 (forall @t1345 (and (=> @t1343 (= @t1451 @t1452)) (=> @t1344 (= @t1451 (tptp.hAPP @t713 (tptp.hAPP @t1450 @t1313))))))) % 6.34/6.55 (assume @p998 (forall @t1305 (=> @t1458 (and (=> @t1456 (= @t1381 @t1453)) (=> @t1457 (= @t1381 @t1455)))))) % 6.34/6.55 (assume @p999 (forall @t1305 (=> @t1458 (and (=> @t1456 (= @t1380 @t1453)) (=> @t1457 (= @t1380 @t1455)))))) % 6.34/6.55 (assume @p1000 (forall @t502 (=> @t530 (=> @t1140 @t1463)))) % 6.34/6.55 (assume @p1001 (forall @t579 (=> @t1269 (= @t278 @t1440)))) % 6.34/6.55 (assume @p1002 (forall @t138 (=> @t910 (=> @t909 (= (tptp.hAPP (tptp.hAPP @t1459 @t908) @t907) (tptp.hAPP tptp.c_Int_Onat @t1354)))))) % 6.34/6.55 (assume @p1003 (forall @t1469 (=> @t1468 (=> (forall @t8 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t1465 @t819))))) (=> @t1467 (forall @t8 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t1465 @t1464)))))))))) % 6.34/6.55 (assume @p1004 (forall @t658 (=> @t1472 (=> (forall @t1471 (=> (tptp.hBOOL (tptp.hAPP @t580 @t1470)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1470) @t929)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 (tptp.hAPP (tptp.hAPP @t730 @t1470) @t136)) @t135))))) @t1185)))) % 6.34/6.55 (assume @p1005 (forall (@list @t378 @t1473 @t1235 @t127 @t30) (=> (tptp.class_Groups_Ominus @t30) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1237) @t1235) @t1473) @t378) (tptp.hAPP (tptp.hAPP @t1475 @t1236) @t1474))))) % 6.34/6.55 (assume @p1006 (forall @t733 (=> @t727 (= (tptp.hAPP @t725 (tptp.hAPP (tptp.hAPP @t1454 @t681) @t317)) (tptp.hAPP (tptp.hAPP @t1476 @t729) @t726))))) % 6.34/6.55 (assume @p1007 (forall @t824 (=> @t1479 (=> @t1478 (= @t759 @t822))))) % 6.34/6.55 (assume @p1008 (forall @t551 (= @t1482 (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP @t1480 @t322)) @t546)))) % 6.34/6.55 (assume @p1009 (forall (@list @t264 @t10 @t35) (=> @t727 (=> @t1140 (= (tptp.hAPP @t643 @t1461) (tptp.hAPP (tptp.hAPP @t1476 @t644) @t648)))))) % 6.34/6.55 (assume @p1010 (forall @t502 (=> @t1140 (= (tptp.hAPP (tptp.hAPP @t1454 @t641) @t640) (tptp.hAPP @t623 @t1461))))) % 6.34/6.55 (assume @p1011 (forall @t824 (=> @t789 (=> @t1478 (= @t954 @t1484))))) % 6.34/6.55 (assume @p1012 (forall @t745 (=> @t744 (= @t1485 @t759)))) % 6.34/6.55 (assume @p1013 (forall @t745 (=> @t1479 (= @t759 @t1485)))) % 6.34/6.55 (assume @p1014 (forall @t369 (=> @t723 (= (tptp.hAPP @t1486 @t278) @t364)))) % 6.34/6.55 (assume @p1015 (forall @t369 (=> @t723 (= (tptp.hAPP @t1486 @t364) @t278)))) % 6.34/6.55 (assume @p1016 (forall @t824 (=> @t789 (=> @t1478 (= @t509 @t1487))))) % 6.34/6.55 (assume @p1017 (forall @t579 (=> @t723 (= (tptp.hAPP @t1488 @t389) @t278)))) % 6.34/6.55 (assume @p1018 (forall @t579 (=> @t723 (= (tptp.hAPP (tptp.hAPP @t365 @t1489) @t389) @t278)))) % 6.34/6.55 (assume @p1019 (forall @t579 (=> @t795 (= (tptp.hAPP @t721 @t1489) @t1491)))) % 6.34/6.55 (assume @p1020 (forall @t396 (=> @t1283 (= @t1492 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1486 @t1270) @t111))))) % 6.34/6.55 (assume @p1021 (forall @t396 (=> @t1283 (= @t1492 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1493 @t389) @t111))))) % 6.34/6.55 (assume @p1022 (forall @t396 (=> @t1283 (= @t1492 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP @t1493 @t1270) @t111))))) % 6.34/6.55 (assume @p1023 (forall @t1278 (=> @t1283 (=> @t1277 (=> @t1276 (= @t1492 (tptp.c_Divides_Odiv__class_Omod @t35 (tptp.hAPP (tptp.hAPP @t1476 @t441) @t608) @t111))))))) % 6.34/6.55 (assume @p1024 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t1459 @t214) @t10) @t214))) % 6.34/6.55 (assume @p1025 (forall @t266 (= (tptp.hAPP @t1460 @t214) @t264))) % 6.34/6.55 (assume @p1026 (forall @t266 (= (tptp.hAPP @t1460 @t264) @t214))) % 6.34/6.55 (assume @p1027 (forall @t316 (=> @t1496 (=> (= @t1495 @t214) @t499)))) % 6.34/6.55 (assume @p1028 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t1459 @t1498) (tptp.hAPP tptp.c_Nat_OSuc @t322)) (tptp.hAPP (tptp.hAPP @t1459 @t1461) @t322)))) % 6.34/6.55 (assume @p1029 (forall @t316 (= (tptp.hAPP @t1497 @t36) @t1461))) % 6.34/6.55 (assume @p1030 (forall (@list @t10 @t322 @t546) (=> @t548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP @t1499 @t10)) @t322))))) % 6.34/6.55 (assume @p1031 (forall @t1503 (=> @t492 (=> (tptp.hBOOL (tptp.hAPP @t491 @t558)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1502) @t1501)))))) % 6.34/6.55 (assume @p1032 (forall @t316 (and @t1377 @t1506))) % 6.34/6.55 (assume @p1033 (forall @t316 @t1506)) % 6.34/6.55 (assume @p1034 (forall @t316 (= (tptp.hAPP (tptp.hAPP @t1459 @t315) @t10) @t264))) % 6.34/6.55 (assume @p1035 (forall @t502 (= (tptp.hAPP @t1507 @t10) @t264))) % 6.34/6.55 (assume @p1036 (forall @t551 (= @t1482 (tptp.hAPP @t1480 @t566)))) % 6.34/6.55 (assume @p1037 (forall @t987 (= (tptp.hAPP (tptp.hAPP @t1459 @t1508) @t557) @t1461))) % 6.34/6.55 (assume @p1038 (forall @t1163 (= (tptp.hAPP @t1509 @t323) @t1461))) % 6.34/6.55 (assume @p1039 (forall @t331 (=> @t1516 (=> @t1515 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1513) @t1511)) @t936))))) % 6.34/6.55 (assume @p1040 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t1158 @t264)) (=> @t1160 (= (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP @t1460 @t322)) (tptp.hAPP @t1494 @t322)) @t1461))))) % 6.34/6.55 (assume @p1041 (forall @t331 (=> @t1516 (=> @t1515 (= (= @t1513 @t1511) @t326))))) % 6.34/6.55 (assume @p1042 (forall @t895 (=> (tptp.hBOOL (tptp.hAPP @t1143 @t10)) (= (tptp.hAPP @t1494 @t1517) @t544)))) % 6.34/6.55 (assume @p1043 (forall @t1503 (=> @t1142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 (tptp.hAPP @t1460 @t558)) (tptp.hAPP @t1494 @t558)))))) % 6.34/6.55 (assume @p1044 (forall @t1503 (=> @t1142 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1502) @t1501))))) % 6.34/6.55 (assume @p1045 (forall @t316 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1461) @t264)))) % 6.34/6.55 (assume @p1046 (forall @t502 (=> @t1140 @t1505))) % 6.34/6.55 (assume @p1047 (forall @t838 (= (tptp.hAPP @t731 @t1518) (tptp.hAPP (tptp.hAPP @t1454 @t837) @t836)))) % 6.34/6.55 (assume @p1048 (forall @t835 (= (tptp.hAPP (tptp.hAPP @t710 @t1518) @t681) (tptp.hAPP (tptp.hAPP @t1454 @t834) @t833)))) % 6.34/6.55 (assume @p1049 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t780 @t1461) @t322) (tptp.hAPP (tptp.hAPP @t1459 @t983) @t919)))) % 6.34/6.55 (assume @p1050 (forall @t987 (= (tptp.hAPP @t984 @t1461) (tptp.hAPP (tptp.hAPP @t1459 @t986) @t985)))) % 6.34/6.55 (assume @p1051 (forall (@list @t264 @t135 @t136) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1519 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t135 @t264)) @t264) @t1521))) % 6.34/6.55 (assume @p1052 (forall @t1522 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1454 @t1291) @t135) @t264) @t1521))) % 6.34/6.55 (assume @p1053 (forall (@list @t317 @t911) (=> @t913 (=> @t1076 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1523 @t911)) (tptp.hAPP (tptp.hAPP @t1459 @t904) @t912)))))) % 6.34/6.55 (assume @p1054 (forall (@list @t696 @t378 @t27) (= (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t623 @t1526))) (and (=> (tptp.hBOOL (tptp.hAPP @t1524 @t378)) (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t1454 @t699) @t698)))) (=> @t697 @t1355))))) % 6.34/6.55 (assume @p1055 (forall @t745 (=> @t789 (= @t954 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1477) @t352)))))) % 6.34/6.55 (assume @p1056 (forall @t745 (=> @t789 (= @t509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1477) @t352)))))) % 6.34/6.55 (assume @p1057 (forall @t1533 (=> @t1532 (= @t1531 (= @t1528 @t819))))) % 6.34/6.55 (assume @p1058 (forall @t1533 (=> @t1532 (= @t1531 (= @t25 @t1534))))) % 6.34/6.55 (assume @p1059 (forall @t369 (=> @t723 (= (tptp.hAPP (tptp.hAPP @t1476 @t364) @t278) @t722)))) % 6.34/6.55 (assume @p1060 (forall @t579 (=> @t723 @t1535))) % 6.34/6.55 (assume @p1061 (forall @t579 (=> @t795 @t1535))) % 6.34/6.55 (assume @p1062 (forall @t658 (=> @t1047 (= @t1538 (tptp.hAPP @t1536 @t1184))))) % 6.34/6.55 (assume @p1063 (forall @t579 (=> @t723 (= (tptp.hAPP @t1486 @t770) @t392)))) % 6.34/6.55 (assume @p1064 (forall @t1541 (= @t1540 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP (tptp.hAPP @t1454 @t327) @t1539)) @t636))))) % 6.34/6.55 (assume @p1065 (forall @t541 (= (tptp.hBOOL (tptp.hAPP @t475 @t1542)) @t497))) % 6.34/6.55 (assume @p1066 (forall @t502 (=> @t530 (=> @t1417 (tptp.hBOOL (tptp.hAPP @t1543 @t264)))))) % 6.34/6.55 (assume @p1067 (forall @t316 (tptp.hBOOL (tptp.hAPP @t1543 @t265)))) % 6.34/6.55 (assume @p1068 (forall @t502 (= (tptp.hAPP @t1494 @t313) @t214))) % 6.34/6.55 (assume @p1069 (forall @t316 (=> @t1142 @t1496))) % 6.34/6.55 (assume @p1070 (forall @t341 (= (= @t1544 @t214) @t936))) % 6.34/6.55 (assume @p1071 (forall @t1551 (= (tptp.hBOOL (tptp.hAPP @t1550 @t1549)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1547) @t1545))))) % 6.34/6.55 (assume @p1072 (forall @t316 (=> @t552 @t1552))) % 6.34/6.55 (assume @p1073 (forall @t502 (=> @t1140 (= @t1498 (tptp.hAPP tptp.c_Nat_OSuc @t1461))))) % 6.34/6.55 (assume @p1074 (forall @t331 (=> @t1516 (=> @t1515 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1513) @t1511)) @t497))))) % 6.34/6.55 (assume @p1075 (forall @t1290 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t278) @t389)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t111) @t278)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP (tptp.hAPP @t1459 @t278) @t111)) (tptp.hAPP (tptp.hAPP @t1459 @t389) @t111))))))) % 6.34/6.55 (assume @p1076 (forall @t1555 (=> @t1554 (= (tptp.hAPP @t1480 @t1553) (tptp.hAPP (tptp.hAPP @t1459 @t563) @t546))))) % 6.34/6.55 (assume @p1077 (forall (@list @t178 @t327 @t1545) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1549) @t178)) (tptp.hBOOL (tptp.hAPP @t1556 @t1547))))) % 6.34/6.55 (assume @p1078 (forall @t1406 (=> @t1160 (tptp.hBOOL (tptp.hAPP @t1141 (tptp.hAPP @t1507 @t322)))))) % 6.34/6.55 (assume @p1079 (forall @t502 (=> @t1140 @t1552))) % 6.34/6.55 (assume @p1080 (forall @t1555 (=> @t1554 (= @t1558 @t1557)))) % 6.34/6.55 (assume @p1081 (forall (@list @t178 @t1545 @t327) (=> (tptp.hBOOL (tptp.hAPP @t1514 @t1545)) (= (tptp.hBOOL (tptp.hAPP @t1559 @t1549)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1547) @t1545)))))) % 6.34/6.55 (assume @p1082 (forall @t502 (=> @t1140 (= (tptp.hAPP (tptp.hAPP @t301 @t1461) @t10) @t264)))) % 6.34/6.55 (assume @p1083 (forall @t1551 (=> @t1561 (= (= @t1560 @t327) (= @t1545 (tptp.hAPP @t328 @t178)))))) % 6.34/6.55 (assume @p1084 (forall @t1555 (=> @t1554 (= @t1557 @t1558)))) % 6.34/6.55 (assume @p1085 (forall @t1555 (=> @t1554 (= @t1563 @t1562)))) % 6.34/6.55 (assume @p1086 (forall @t1555 (=> @t1554 (= @t1562 @t1563)))) % 6.34/6.55 (assume @p1087 (forall @t685 (= @t1565 @t1564))) % 6.34/6.55 (assume @p1088 (forall @t685 (= @t1564 @t1565))) % 6.34/6.55 (assume @p1089 (forall @t316 (= (tptp.hAPP @t1460 @t36) (tptp.hAPP (tptp.hAPP @t1459 @t1566) @t10)))) % 6.34/6.55 (assume @p1090 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t1459 @t36) @t933) @t10))) % 6.34/6.55 (assume @p1091 (forall @t316 (= @t1568 @t1567))) % 6.34/6.55 (assume @p1092 (forall @t502 (= (tptp.hAPP @t917 @t1373) @t1567))) % 6.34/6.55 (assume @p1093 (forall @t316 (= @t1374 (tptp.hAPP @t1460 @t1568)))) % 6.34/6.55 (assume @p1094 (forall @t1571 @t1570)) % 6.34/6.55 (assume @p1095 (forall @t138 (= (tptp.c_Nat__Transfer_Otsub @t695 @t694) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t1459 @t136) @t135))))) % 6.34/6.55 (assume @p1096 (forall @t1533 (=> @t1573 (= @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1528) @t819)))))) % 6.34/6.55 (assume @p1097 (forall @t1533 (=> @t1573 (= @t1572 (tptp.hBOOL (tptp.hAPP @t1483 @t1534)))))) % 6.34/6.55 (assume @p1098 (forall @t1533 (=> @t1573 (= @t1574 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1528) @t819)))))) % 6.34/6.55 (assume @p1099 (forall @t1533 (=> @t1573 (= @t1574 (tptp.hBOOL (tptp.hAPP @t861 @t1534)))))) % 6.34/6.55 (assume @p1100 (forall (@list @t544 @t10) (=> @t530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP @t1494 @t545)) @t10))))) % 6.34/6.55 (assume @p1101 (forall @t131 (=> @t530 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1494 @t300)) @t10)))) % 6.34/6.55 (assume @p1102 (forall @t1581 (= @t1580 (and (=> @t1579 @t485) (forall @t1578 (=> @t1577 @t1576)))))) % 6.34/6.55 (assume @p1103 (forall @t1581 (= @t1580 (not (or (and @t1579 @t1243) (exists @t1578 (and @t1577 (not @t1576)))))))) % 6.34/6.55 (assume @p1104 (forall @t632 (= (tptp.hBOOL (tptp.hAPP @t938 (tptp.hAPP @t1582 @t901))) @t631))) % 6.34/6.55 (assume @p1105 (forall @t1585 (=> @t1554 (= (tptp.hAPP (tptp.hAPP @t1459 @t1584) @t264) (tptp.hAPP (tptp.hAPP @t1459 @t1583) @t1508))))) % 6.34/6.55 (assume @p1106 (forall @t1585 (=> @t1554 (= (tptp.hAPP @t1460 @t1584) (tptp.hAPP @t1509 @t1583))))) % 6.34/6.55 (assume @p1107 (forall @t1592 (=> @t1591 (= @t1590 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t1587) @t23)))))) % 6.34/6.55 (assume @p1108 (forall (@list @t10 @t264 @t258 @t544 @t546) (=> @t1594 (= @t1593 (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t1481) @t258)) @t264)) @t10))))) % 6.34/6.55 (assume @p1109 (forall @t1592 (=> @t1591 (= @t1595 (= @t1587 @t23))))) % 6.34/6.55 (assume @p1110 (forall @t1597 (=> @t1561 (= @t1590 (tptp.hBOOL (tptp.hAPP @t935 @t1596)))))) % 6.34/6.55 (assume @p1111 (forall (@list @t10 @t264 @t258 @t546 @t544) (=> @t1145 (= @t1593 (tptp.hAPP @t1460 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t1598) @t258)) @t10)))))) % 6.34/6.55 (assume @p1112 (forall @t1597 (=> @t1561 (= @t1595 (= @t325 @t1596))))) % 6.34/6.55 (assume @p1113 (forall @t1295 (and (=> @t1456 (= @t1297 @t636)) (=> @t1457 (= @t1297 (tptp.hAPP (tptp.hAPP @t1454 @t1292) @t389)))))) % 6.34/6.55 (assume @p1114 (forall @t1295 (and (=> @t1456 (= @t1296 @t636)) (=> @t1457 (= @t1296 (tptp.hAPP @t1599 @t1292)))))) % 6.34/6.55 (assume @p1115 (forall @t316 (= @t1602 (tptp.hAPP @t1601 (tptp.hAPP (tptp.hAPP @t710 @t1600) @t10))))) % 6.34/6.55 (assume @p1116 (forall @t502 (= @t1603 (tptp.hAPP @t1601 @t1602)))) % 6.34/6.55 (assume @p1117 (forall @t1571 (and @t1570 (=> (not @t1569) (= @t1354 @t636))))) % 6.34/6.55 (assume @p1118 (forall @t131 (=> @t530 (= @t1605 @t10)))) % 6.34/6.55 (assume @p1119 (forall @t131 (=> @t530 (= @t10 @t1605)))) % 6.34/6.55 (assume @p1120 (forall @t1592 (=> @t1591 (= @t1606 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1587) @t23)))))) % 6.34/6.55 (assume @p1121 (forall @t1597 (=> @t1561 (= @t1606 (tptp.hBOOL (tptp.hAPP @t496 @t1596)))))) % 6.34/6.55 (assume @p1122 (forall @t316 (and (=> @t1174 (= @t315 @t10)) (=> @t1607 (= @t315 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t301 @t1566) @t10))))))) % 6.34/6.55 (assume @p1123 (forall @t502 (=> @t530 (and @t1388 @t1608)))) % 6.34/6.55 (assume @p1124 (forall @t502 (=> @t530 @t1608))) % 6.34/6.55 (assume @p1125 (forall @t316 (and (=> @t1174 (= @t782 @t214)) (=> @t1607 (= @t782 (tptp.hAPP @t312 (tptp.hAPP (tptp.hAPP @t780 @t1566) @t10))))))) % 6.34/6.55 (assume @p1126 (forall @t1301 (=> @t1417 (=> @t703 (= (tptp.hAPP (tptp.hAPP @t1347 (tptp.hAPP @t1610 @t264)) @t322) (tptp.hAPP @t1610 (tptp.hAPP @t1460 @t300))))))) % 6.34/6.55 (assume @p1127 (forall @t1469 (=> @t1468 (=> (forall @t8 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t1611 @t819))))) (=> @t1467 (forall @t8 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t1611 @t1464)))))))))) % 6.34/6.55 (assume @p1128 (forall (@list @t136 @t317 @t384) (=> @t1614 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t317) (tptp.hAPP @t686 @t1613)))))) % 6.34/6.55 (assume @p1129 (forall (@list @t317 @t136 @t384) (=> @t1614 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.hAPP @t1519 @t1613)) @t317))))) % 6.34/6.55 (assume @p1130 (forall (@list @t135 @t10 @t136) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t136 @t10) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t135 @t10)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t135) @t136)) (exists @t1309 (= @t136 (tptp.hAPP @t319 (tptp.hAPP @t917 @t1308)))))))) % 6.34/6.55 (assume @p1131 (forall (@list @t178 @t27 @t1615) (=> (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t1617 @t1615)) (=> @t1240 (tptp.hBOOL (tptp.hAPP @t27 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1616 @t1615)))))) (=> (tptp.hBOOL (tptp.hAPP @t27 @t178)) (=> (tptp.hBOOL (tptp.hAPP @t1550 @t1615)) @t485))))) % 6.34/6.55 (assume @p1132 (forall @t1621 (=> (tptp.hBOOL (tptp.hAPP @t475 @t1619)) (= @t1619 (tptp.hAPP tptp.c_Nat_OSuc @t1620))))) % 6.34/6.55 (assume @p1133 (forall @t875 (=> @t1627 (= @t1625 @t894)))) % 6.34/6.55 (assume @p1134 (forall (@list @t378 @t625 @t30) (=> @t1629 (= (= @t1628 @t378) (= @t378 @t1628))))) % 6.34/6.55 (assume @p1135 (forall @t369 (=> @t1632 (= (tptp.hAPP @t1630 @t1631) @t1631)))) % 6.34/6.55 (assume @p1136 (forall @t1638 (=> @t1637 (= (tptp.hAPP @t725 @t1636) @t1634)))) % 6.34/6.55 (assume @p1137 (forall (@list @t10 @t317 @t35) (=> @t727 (= (tptp.hAPP @t725 @t1640) (tptp.hAPP (tptp.hAPP @t1639 @t726) @t10))))) % 6.34/6.55 (assume @p1138 (forall @t1642 (tptp.hBOOL (tptp.hAPP @t898 (tptp.hAPP (tptp.hAPP @t1609 @t1641) @t10))))) % 6.34/6.55 (assume @p1139 (forall @t579 (=> @t1632 (=> @t1643 @t958)))) % 6.34/6.55 (assume @p1140 (forall @t369 (=> @t1632 (tptp.hBOOL (tptp.hAPP @t957 @t1631))))) % 6.34/6.55 (assume @p1141 (forall @t447 (=> @t1632 (= (tptp.hAPP @t1630 @t364) @t364)))) % 6.34/6.55 (assume @p1142 (forall @t359 (=> @t1646 (= (= @t1645 @t352) @t353)))) % 6.34/6.55 (assume @p1143 (forall @t579 (=> @t1632 (= (tptp.hAPP @t1630 @t1648) @t1648)))) % 6.34/6.55 (assume @p1144 (forall @t369 (=> @t657 (= (tptp.hAPP @t1649 @t1631) @t869)))) % 6.34/6.55 (assume @p1145 (forall @t579 (=> @t657 @t1651))) % 6.34/6.55 (assume @p1146 (forall @t579 (=> @t1632 (= @t1653 @t1652)))) % 6.34/6.55 (assume @p1147 (forall @t447 (=> @t657 (= (tptp.hAPP @t1630 @t929) @t929)))) % 6.34/6.55 (assume @p1148 (forall @t369 (=> @t1632 (= (tptp.hAPP @t1630 @t722) @t1631)))) % 6.34/6.55 (assume @p1149 (forall (@list @t1105 @t135 @t136 @t35) (=> @t370 (= (tptp.hAPP (tptp.hAPP @t1639 @t827) @t1105) (tptp.hAPP @t1657 (tptp.hAPP @t1654 @t1105)))))) % 6.34/6.55 (assume @p1150 (forall @t882 (=> @t657 (= (tptp.hAPP @t1630 @t648) @t648)))) % 6.34/6.55 (assume @p1151 (forall @t266 (= (tptp.hAPP @t1612 @t641) @t641))) % 6.34/6.55 (assume @p1152 (forall @t1661 (=> @t370 (= (tptp.hAPP (tptp.hAPP @t1639 @t1660) @t1105) (tptp.hAPP @t1655 (tptp.hAPP @t1659 @t1105)))))) % 6.34/6.55 (assume @p1153 (forall @t321 (= (tptp.hAPP (tptp.hAPP @t1609 @t1663) @t317) (tptp.hAPP @t1662 (tptp.hAPP (tptp.hAPP @t780 @t135) @t317))))) % 6.34/6.55 (assume @p1154 (forall @t436 (=> @t370 (= (tptp.hAPP @t1655 @t933) @t136)))) % 6.34/6.55 (assume @p1155 (forall @t1522 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1609 @t1291) @t135) @t264) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1663 @t264)))) % 6.34/6.55 (assume @p1156 (forall @t1638 (=> @t1637 (and (=> @t1666 @t1667) (=> (not @t1666) @t1665))))) % 6.34/6.55 (assume @p1157 (forall @t786 (=> @t1637 (= @t1668 @t783)))) % 6.34/6.55 (assume @p1158 (forall @t436 (=> @t1672 (and (=> @t1671 (= @t1670 (tptp.hAPP @t721 @t1669))) (=> (not @t1671) (= @t1670 @t1669)))))) % 6.34/6.55 (assume @p1159 (forall @t1674 (= (tptp.hBOOL (tptp.hAPP @t637 (tptp.hAPP (tptp.hAPP @t1609 @t1673) @t23))) (or (not (= @t378 @t636)) @t338)))) % 6.34/6.55 (assume @p1160 (forall @t369 (=> @t1632 (=> @t1021 @t1675)))) % 6.34/6.55 (assume @p1161 (forall @t359 (=> @t1646 (= (tptp.hBOOL (tptp.hAPP @t1676 @t352)) @t353)))) % 6.34/6.55 (assume @p1162 (forall @t369 (=> @t1632 (tptp.hBOOL (tptp.hAPP @t932 @t1631))))) % 6.34/6.55 (assume @p1163 (forall @t369 (=> @t1632 (not (tptp.hBOOL (tptp.hAPP @t1677 @t364)))))) % 6.34/6.55 (assume @p1164 (forall @t359 (=> @t1646 (= (tptp.hBOOL (tptp.hAPP @t588 @t1645)) @t1678)))) % 6.34/6.55 (assume @p1165 (forall @t369 (=> @t1632 (=> @t584 @t1675)))) % 6.34/6.55 (assume @p1166 (forall @t579 (=> @t1632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 (tptp.hAPP @t1630 @t392)) @t1648))))) % 6.34/6.55 (assume @p1167 (forall @t1679 (=> @t657 (=> (tptp.hBOOL (tptp.hAPP @t1677 @t111)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1647) @t384)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1650) (tptp.hAPP @t842 @t384)))))))) % 6.34/6.55 (assume @p1168 (forall @t579 (=> @t1632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 (tptp.hAPP @t1630 @t1680)) @t1653))))) % 6.34/6.55 (assume @p1169 (forall @t579 (=> @t1632 (tptp.hBOOL (tptp.hAPP @t1681 @t1653))))) % 6.34/6.55 (assume @p1170 (forall @t579 (=> @t1632 (tptp.hBOOL (tptp.hAPP @t1681 @t1652))))) % 6.34/6.55 (assume @p1171 (forall @t369 (=> @t1632 (tptp.hBOOL (tptp.hAPP @t1682 @t1631))))) % 6.34/6.55 (assume @p1172 (forall @t745 (=> @t1646 (= (tptp.hBOOL (tptp.hAPP @t1676 @t64)) (and @t954 @t981))))) % 6.34/6.55 (assume @p1173 (forall @t579 (=> @t1632 (=> @t958 (=> @t1683 @t1643))))) % 6.34/6.55 (assume @p1174 (forall @t579 (=> @t1632 (=> @t1643 @t1683)))) % 6.34/6.55 (assume @p1175 (forall @t745 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1645) @t64)) (and @t509 @t792))))) % 6.34/6.55 (assume @p1176 (forall @t1687 (=> (and @t1629 @t1228) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1685) @t1628)) (not (tptp.hBOOL (tptp.hAPP @t1686 @t1685))))))) % 6.34/6.55 (assume @p1177 (forall @t1692 (=> @t1691 (= (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t354 @t278) @t389)) @t1688) (tptp.hAPP (tptp.hAPP @t354 @t1690) @t1689))))) % 6.34/6.55 (assume @p1178 (forall @t1696 (=> @t1691 (= (tptp.hAPP @t1693 (tptp.hAPP (tptp.hAPP @t354 @t389) @t111)) (tptp.hAPP (tptp.hAPP @t354 @t1695) @t1694))))) % 6.34/6.55 (assume @p1179 (forall @t1699 (=> @t370 (= @t1698 @t1697)))) % 6.34/6.55 (assume @p1180 (forall @t1699 (=> @t370 (= @t1697 @t1698)))) % 6.34/6.55 (assume @p1181 (forall @t1699 (=> @t370 (= (tptp.hAPP @t1657 @t136) @t1698)))) % 6.34/6.55 (assume @p1182 (forall @t1692 (=> @t1700 (= (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP (tptp.hAPP @t1475 @t278) @t389)) @t1688) (tptp.hAPP (tptp.hAPP @t1475 @t1690) @t1689))))) % 6.34/6.55 (assume @p1183 (forall @t1696 (=> @t1700 (= (tptp.hAPP @t1693 (tptp.hAPP (tptp.hAPP @t1475 @t389) @t111)) (tptp.hAPP (tptp.hAPP @t1475 @t1695) @t1694))))) % 6.34/6.55 (assume @p1184 (forall @t875 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1701 @t1623)) @t1180)))) % 6.34/6.55 (assume @p1185 (forall @t436 (=> @t370 (= (tptp.hAPP @t1655 @t214) @t929)))) % 6.34/6.55 (assume @p1186 (forall @t1661 (=> @t370 (= (tptp.hAPP (tptp.hAPP @t730 @t1660) @t1656) (tptp.hAPP @t1655 (tptp.hAPP (tptp.hAPP @t301 @t1658) @t1105)))))) % 6.34/6.55 (assume @p1187 (forall @t875 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1703 @t1623)) @t1104)))) % 6.34/6.55 (assume @p1188 (forall @t1710 (=> @t1637 (= @t1709 @t1706)))) % 6.34/6.55 (assume @p1189 (forall @t1710 (=> @t1637 (= @t1706 @t1709)))) % 6.34/6.55 (assume @p1190 (forall @t1711 (=> @t1637 (= (tptp.hAPP @t1705 (tptp.hAPP (tptp.hAPP @t365 @t1704) @t317)) (tptp.hAPP (tptp.hAPP @t365 @t1709) @t317))))) % 6.34/6.55 (assume @p1191 (forall @t1642 (=> @t910 (tptp.hBOOL (tptp.hAPP @t898 @t1712))))) % 6.34/6.55 (assume @p1192 (forall @t1711 (=> @t1637 (= (tptp.hAPP @t1716 (tptp.hAPP (tptp.hAPP @t730 @t1704) @t317)) (tptp.hAPP (tptp.hAPP @t730 @t1715) @t317))))) % 6.34/6.55 (assume @p1193 (forall @t1710 (=> @t1637 (= @t1717 @t1715)))) % 6.34/6.55 (assume @p1194 (forall @t1710 (=> @t1637 (= @t1715 @t1717)))) % 6.34/6.55 (assume @p1195 (forall @t316 (=> (= (tptp.hAPP @t1612 @t1718) @t901) (= (tptp.hAPP @t1612 @t264) @t901)))) % 6.34/6.55 (assume @p1196 (forall @t1710 (=> @t1637 (= (tptp.hAPP @t1633 (tptp.hAPP (tptp.hAPP @t1454 @t990) @t681)) @t1720)))) % 6.34/6.55 (assume @p1197 (forall @t321 (= (tptp.hAPP @t1662 @t320) (tptp.hAPP (tptp.hAPP @t710 @t1663) (tptp.hAPP @t1662 @t317))))) % 6.34/6.55 (assume @p1198 (forall @t1723 (=> @t1637 (= @t1722 @t1721)))) % 6.34/6.55 (assume @p1199 (forall @t1723 (=> @t1637 (= @t1721 @t1722)))) % 6.34/6.55 (assume @p1200 (forall @t786 (=> @t657 (= @t1724 (tptp.hAPP (tptp.hAPP @t730 @t322) (tptp.c_Groups_Osgn__class_Osgn @t35 @t322)))))) % 6.34/6.55 (assume @p1201 (forall @t436 (=> @t657 (= (tptp.hAPP (tptp.hAPP @t730 @t1244) @t1725) @t136)))) % 6.34/6.55 (assume @p1202 (forall @t658 (=> @t657 (=> @t943 (= (tptp.hAPP (tptp.hAPP @t730 (tptp.hAPP @t1630 @t135)) @t136) (tptp.hAPP @t1630 @t944)))))) % 6.34/6.55 (assume @p1203 (forall @t579 (=> (tptp.class_Rings_Oordered__ring__abs @t35) (=> (and (or @t1021 @t1015) (or @t1024 @t1014)) @t1651)))) % 6.34/6.55 (assume @p1204 (forall @t405 (=> @t1632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 (tptp.hAPP @t1630 (tptp.hAPP @t1488 @t385))) (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t1630 (tptp.hAPP @t1486 @t111))) (tptp.hAPP @t1630 (tptp.hAPP @t1490 @t384)))))))) % 6.34/6.55 (assume @p1205 (forall @t579 (=> @t1632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1653) @t1648))))) % 6.34/6.55 (assume @p1206 (forall @t369 (=> @t1632 (=> @t1015 @t1726)))) % 6.34/6.55 (assume @p1207 (forall @t369 (=> @t1632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 (tptp.hAPP @t721 @t1631)) @t364))))) % 6.34/6.55 (assume @p1208 (forall @t369 (=> (tptp.class_Groups_Oabs__if @t35) (and @t1727 (=> (not @t577) @t1675))))) % 6.34/6.55 (assume @p1209 (forall @t369 (=> @t1632 @t1727))) % 6.34/6.55 (assume @p1210 (forall @t720 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1728) @t901)) @t881))) % 6.34/6.55 (assume @p1211 (forall (@list @t111 @t681 @t990 @t35) (=> @t1637 (= (tptp.hAPP @t1705 (tptp.hAPP (tptp.hAPP @t1476 @t1704) @t111)) (tptp.hAPP (tptp.hAPP @t1476 @t1709) @t111))))) % 6.34/6.55 (assume @p1212 (forall @t1255 (and (=> @t1730 (= @t1729 (tptp.hAPP @t713 @t544))) (=> (not @t1730) (= @t1729 @t544))))) % 6.34/6.55 (assume @p1213 (forall @t733 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t730 @t1721) @t317) (tptp.hAPP (tptp.hAPP @t730 @t1722) @t317))))) % 6.34/6.55 (assume @p1214 (forall @t947 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1612 @t732)) (tptp.hAPP (tptp.hAPP @t780 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1612 @t681))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1612 @t317)))))) % 6.34/6.55 (assume @p1215 (forall @t1710 (=> @t1637 (= @t1720 @t1732)))) % 6.34/6.55 (assume @p1216 (forall (@list @t681 @t111 @t990 @t35) (=> @t1637 (= (tptp.hAPP @t1705 (tptp.hAPP (tptp.hAPP @t1476 @t111) @t1704)) (tptp.hAPP (tptp.hAPP @t365 @t1732) @t111))))) % 6.34/6.55 (assume @p1217 (forall @t1739 (=> @t603 (=> @t519 (=> @t1021 (=> @t530 @t1738)))))) % 6.34/6.55 (assume @p1218 (forall @t1741 (=> @t603 (=> @t1740 (=> @t530 (tptp.hBOOL (tptp.hAPP @t1005 @t1736))))))) % 6.34/6.55 (assume @p1219 (forall @t1743 (=> @t603 (=> @t1740 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1742) @t1736)) @t1142))))) % 6.34/6.55 (assume @p1220 (forall @t1750 (=> @t618 (=> @t1749 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t1747) @t1746)) @t1175))))) % 6.34/6.55 (assume @p1221 (forall @t1754 (=> @t603 (=> @t1753 (=> @t1021 (=> (tptp.hBOOL (tptp.hAPP @t957 @t929)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1752) @t1736)))))))) % 6.34/6.55 (assume @p1222 (forall @t1754 (=> @t603 (=> @t1756 (=> @t584 (=> @t1755 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1752) @t1736)))))))) % 6.34/6.55 (assume @p1223 (forall @t1741 (=> @t603 (=> @t584 (=> @t1755 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1757) @t929))))))) % 6.34/6.55 (assume @p1224 (forall @t675 (= (tptp.hAPP @t1635 @t322) @t322))) % 6.34/6.55 (assume @p1225 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1760) @t1759)) @t1758))) % 6.34/6.55 (assume @p1226 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1760) @t1759)) @t1540))) % 6.34/6.55 (assume @p1227 (forall @t1763 (= (tptp.hAPP @t1762 @t1761) (tptp.hAPP @t1635 @t1708)))) % 6.34/6.55 (assume @p1228 (forall @t1763 (= (tptp.hAPP (tptp.hAPP @t710 @t1636) @t1761) (tptp.hAPP @t1635 @t1714)))) % 6.34/6.55 (assume @p1229 (forall @t928 (= @t1764 (tptp.hAPP @t1635 @t831)))) % 6.34/6.55 (assume @p1230 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t1765 @t300) @t10) @t300))) % 6.34/6.55 (assume @p1231 (forall (@list @t325 @t378) (= (= (tptp.hAPP @t1766 @t325) @t300) (or @t339 (= @t378 @t300))))) % 6.34/6.55 (assume @p1232 (forall @t1770 (=> (tptp.hBOOL (tptp.hAPP @t475 @t544)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1769) @t1768)) @t492)))) % 6.34/6.55 (assume @p1233 (forall @t1674 (= (tptp.hBOOL (tptp.hAPP @t475 (tptp.hAPP @t1766 @t23))) (or (tptp.hBOOL (tptp.hAPP @t475 @t378)) @t338)))) % 6.34/6.55 (assume @p1234 (forall @t928 (= @t1761 (tptp.hAPP @t840 @t681)))) % 6.34/6.55 (assume @p1235 (forall @t895 (=> (tptp.hBOOL (tptp.hAPP @t1177 @t544)) (tptp.hBOOL (tptp.hAPP @t1177 @t1768))))) % 6.34/6.55 (assume @p1236 (forall @t928 (= (tptp.hAPP tptp.c_Int_Onat @t1761) @t1771))) % 6.34/6.55 (assume @p1237 (forall @t1621 (= @t1619 (tptp.hAPP tptp.c_Int_Onat @t1636)))) % 6.34/6.55 (assume @p1238 (forall @t316 (= @t1774 @t1772))) % 6.34/6.55 (assume @p1239 (forall @t316 (= @t1772 @t1774))) % 6.34/6.55 (assume @p1240 (forall @t1642 (= (tptp.hAPP (tptp.hAPP @t1609 @t695) @t10) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t1765 @t136) @t10))))) % 6.34/6.55 (assume @p1241 (forall @t1763 (= (tptp.hAPP (tptp.hAPP @t1454 @t1636) @t1761) (tptp.hAPP @t1635 @t1731)))) % 6.34/6.55 (assume @p1242 (forall (@list @t1658 @t264) (and (=> @t1174 (= @t1776 @t933)) (=> @t1607 (= @t1776 (tptp.hAPP @t1659 (tptp.hAPP @t1775 @t1566))))))) % 6.34/6.55 (assume @p1243 (forall (@list @t1684 @t325) (= (= @t634 @t1777) (and (= @t325 (tptp.hAPP tptp.c_Int_Onat @t1777)) (tptp.hBOOL (tptp.hAPP @t898 @t1777)))))) % 6.34/6.55 (assume @p1244 (forall @t1778 (=> @t905 (= (tptp.hAPP tptp.c_Int_Onat @t1640) (tptp.hAPP (tptp.hAPP @t1765 @t904) @t10))))) % 6.34/6.55 (assume @p1245 (forall @t1642 (=> @t910 (= (tptp.hAPP (tptp.hAPP @t1765 @t908) @t10) (tptp.hAPP tptp.c_Int_Onat @t1712))))) % 6.34/6.55 (assume @p1246 (forall @t1741 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t35) (=> @t801 (not (= @t1736 @t364)))))) % 6.34/6.55 (assume @p1247 (forall @t1741 (=> @t951 (= @t1781 @t1779)))) % 6.34/6.55 (assume @p1248 (forall @t1739 (=> @t950 (= (tptp.hAPP (tptp.hAPP @t1639 @t737) @t10) (tptp.hAPP @t1780 @t1734))))) % 6.34/6.55 (assume @p1249 (forall @t882 (=> @t951 (= (tptp.hAPP @t1782 @t10) @t929)))) % 6.34/6.55 (assume @p1250 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t1773) (tptp.hAPP (tptp.hAPP @t1639 @t644) @t10))))) % 6.34/6.55 (assume @p1251 (forall @t1743 (=> @t951 (= (tptp.hAPP @t1735 @t782) (tptp.hAPP (tptp.hAPP @t1639 @t1742) @t10))))) % 6.34/6.55 (assume @p1252 (forall @t1787 (= (tptp.hAPP (tptp.hAPP @t1357 @t300) @t1786) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1785 @t1784))))) % 6.34/6.55 (assume @p1253 (forall @t1741 (=> @t657 (= @t1790 @t1789)))) % 6.34/6.55 (assume @p1254 (forall @t369 (=> @t951 (= (tptp.hAPP @t1735 @t933) @t278)))) % 6.34/6.55 (assume @p1255 (forall @t1741 (=> @t603 (=> @t1021 (tptp.hBOOL (tptp.hAPP @t932 @t1736)))))) % 6.34/6.55 (assume @p1256 (forall @t1739 (=> @t603 (=> @t958 (=> @t1021 (tptp.hBOOL (tptp.hAPP @t1791 @t1734))))))) % 6.34/6.55 (assume @p1257 (forall @t1741 (=> @t603 (=> @t584 (tptp.hBOOL (tptp.hAPP @t580 @t1736)))))) % 6.34/6.55 (assume @p1258 (forall @t1795 (=> (and @t1794 (tptp.class_Rings_Omult__zero @t30) (tptp.class_Rings_Ono__zero__divisors @t30) (tptp.class_Rings_Ozero__neq__one @t30)) (= (= @t1793 @t352) (and @t353 @t532))))) % 6.34/6.55 (assume @p1259 (forall @t1741 (=> @t603 (=> @t1796 (tptp.hBOOL (tptp.hAPP @t931 @t1736)))))) % 6.34/6.55 (assume @p1260 (forall @t882 (=> @t1799 (= (tptp.hAPP @t1797 @t36) @t364)))) % 6.34/6.55 (assume @p1261 (forall (@list @t23 @t325 @t140 @t30) (=> @t618 (=> (tptp.hBOOL (tptp.hAPP @t1748 @t140)) (= (= (tptp.hAPP @t1792 @t325) @t1793) @t326))))) % 6.34/6.55 (assume @p1262 (forall @t1741 (=> @t1798 (= @t1757 @t1779)))) % 6.34/6.55 (assume @p1263 (forall @t1741 (=> @t951 (= @t1757 @t1781)))) % 6.34/6.55 (assume @p1264 (forall @t369 (=> @t1798 (= (tptp.hAPP @t1735 @t214) @t929)))) % 6.34/6.55 (assume @p1265 (forall @t1743 (=> @t951 (= (tptp.hAPP @t1735 @t315) (tptp.hAPP (tptp.hAPP @t730 @t1742) @t1736))))) % 6.34/6.55 (assume @p1266 (forall @t1741 (=> @t657 (= (tptp.hAPP @t1630 @t1801) @t1790)))) % 6.34/6.55 (assume @p1267 (forall @t1802 (=> @t603 (=> @t1738 (=> @t1024 @t519))))) % 6.34/6.55 (assume @p1268 (forall @t1802 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t1757) @t1803)) (=> @t1024 @t958))))) % 6.34/6.55 (assume @p1269 (forall @t1802 (=> @t603 (=> (= @t1757 @t1803) (=> @t1021 (=> @t1024 @t878)))))) % 6.34/6.55 (assume @p1270 (forall @t1741 (=> @t603 (=> @t1740 (tptp.hBOOL (tptp.hAPP @t1005 @t1779)))))) % 6.34/6.55 (assume @p1271 (forall @t1741 (=> @t603 (=> @t1740 (tptp.hBOOL (tptp.hAPP @t1737 @t1779)))))) % 6.34/6.55 (assume @p1272 (forall @t882 (=> @t1799 (and (=> @t342 (= @t1804 @t929)) (=> @t480 (= @t1804 @t364)))))) % 6.34/6.55 (assume @p1273 (forall @t1741 (=> @t603 (=> @t1740 (tptp.hBOOL (tptp.hAPP @t1005 @t1757)))))) % 6.34/6.55 (assume @p1274 (forall @t1754 (=> @t603 (=> @t1756 (=> @t1740 (tptp.hBOOL (tptp.hAPP @t1737 @t1752))))))) % 6.34/6.55 (assume @p1275 (forall @t1743 (=> @t603 (=> @t1740 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1742) @t1736)) @t492))))) % 6.34/6.55 (assume @p1276 (forall @t1750 (=> @t618 (=> @t1749 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t1747) @t1746)) @t697))))) % 6.34/6.55 (assume @p1277 (forall @t1741 (=> @t657 (tptp.hBOOL (tptp.hAPP @t932 @t1789))))) % 6.34/6.55 (assume @p1278 (forall @t1754 (=> @t603 (=> @t1753 (=> @t1796 (tptp.hBOOL (tptp.hAPP @t1791 @t1752))))))) % 6.34/6.55 (assume @p1279 (forall @t1741 (=> @t727 (= @t1801 (tptp.hAPP (tptp.hAPP @t730 (tptp.hAPP @t1805 @t10)) @t1736))))) % 6.34/6.55 (assume @p1280 (forall @t1741 (=> @t603 (=> @t584 (=> @t1755 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t1779) @t1736))))))) % 6.34/6.55 (assume @p1281 (forall @t1802 (=> @t603 (=> (= @t1736 @t1734) (=> @t1021 (=> @t1024 (=> @t530 @t878))))))) % 6.34/6.55 (assume @p1282 (forall @t1787 (and (=> @t1807 (= @t1806 @t300)) (=> @t1808 (= @t1806 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t901 @t1784))))))) % 6.34/6.55 (assume @p1283 (forall @t1809 (=> @t1794 (= @t1744 (tptp.c_Power_Opower_Opower @t30 @t926 @t776))))) % 6.34/6.55 (assume @p1284 (forall @t1814 (and (=> @t1812 (= @t1811 @t214)) (=> @t1813 (= @t1811 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1810 @t1784))))))) % 6.34/6.55 (assume @p1285 (forall @t1814 (and (=> @t1812 (= @t1815 @t214)) (=> @t1813 (and (=> @t1807 (= @t1815 @t1619)) (=> @t1808 (= @t1815 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1636 @t1784))))))))) % 6.34/6.55 (assume @p1286 (forall @t138 (= (tptp.c_Nitpick_Oint__lcm @t136 @t135) (tptp.hAPP @t623 (tptp.c_Nitpick_Onat__lcm @t1818 @t1817))))) % 6.34/6.55 (assume @p1287 (forall @t1823 (and (=> @t1812 (= @t1821 (tptp.hAPP @t1822 @t10))) (=> @t1813 (= @t1821 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1819 @t10))))))) % 6.34/6.55 (assume @p1288 (forall @t1763 (and (=> @t1812 (= @t1824 (tptp.hAPP @t1822 @t1771))) (=> @t1813 (= @t1824 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1819 @t1771))))))) % 6.34/6.55 (assume @p1289 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t636)))) % 6.34/6.55 (assume @p1290 (forall @t131 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t640))))) % 6.34/6.55 (assume @p1291 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t901)))) % 6.34/6.55 (assume @p1292 (forall @t1825 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t378))) @t1068))) % 6.34/6.55 (assume @p1293 (forall (@list @t1826) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1826)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1826) @t636))))) % 6.34/6.55 (assume @p1294 (forall @t680 (=> @t1827 @t1095))) % 6.34/6.55 (assume @p1295 (forall @t680 (=> (not @t1827) @t1098))) % 6.34/6.55 (assume @p1296 (forall (@list @t140 @t1829 @t1828 @t30) (= (tptp.hAPP @t1830 @t214) @t1828))) % 6.34/6.55 (assume @p1297 (forall (@list @t23 @t140 @t1829 @t1828 @t30) (= (tptp.hAPP @t1830 @t109) (tptp.hAPP (tptp.hAPP @t1829 @t140) (tptp.hAPP @t1830 @t23))))) % 6.34/6.55 (assume @p1298 (forall @t1621 (=> @t1812 @t1831))) % 6.34/6.55 (assume @p1299 (forall @t131 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t714)))) % 6.34/6.55 (assume @p1300 (forall @t1838 (= (= @t1837 @t1836) (and (=> @t1835 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1833) @t636))) (=> (not @t1835) (and (=> @t1834 (= @t1777 @t636)) (=> (not @t1834) (= @t1684 @t1832)))))))) % 6.34/6.55 (assume @p1301 (forall @t1843 (and (=> @t1812 (= @t1842 @t1840)) (=> @t1813 (and (=> @t1807 (= @t1842 (tptp.hAPP @t1841 @t322))) (=> @t1808 (= @t1842 (tptp.hAPP (tptp.hAPP @t301 @t1839) @t322)))))))) % 6.34/6.55 (assume @p1302 (forall @t1621 (and (=> @t1812 (= @t1844 @t636)) (=> @t1813 (= @t1844 @t1636))))) % 6.34/6.55 (assume @p1303 (forall @t1638 (=> @t1637 (and (=> @t1812 @t1665) (=> @t1813 @t1667))))) % 6.34/6.55 (assume @p1304 (forall @t1823 (and (=> @t1812 (= @t1846 @t1172)) (=> @t1813 (= @t1846 (tptp.hAPP (tptp.hAPP @t301 @t1845) @t10)))))) % 6.34/6.55 (assume @p1305 (forall @t138 (= (tptp.c_Nitpick_Onat__lcm @t136 @t135) (tptp.hAPP (tptp.hAPP @t1357 @t1079) @t1847)))) % 6.34/6.55 (assume @p1306 (forall @t1621 (and (=> @t1812 (= @t1848 @t933)) (=> @t1813 (= @t1848 @t1845))))) % 6.34/6.55 (assume @p1307 (forall @t1284 (=> @t1307 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1850 @t389) @t1849)))) % 6.34/6.55 (assume @p1308 (forall @t1295 (=> @t1110 (=> @t1327 (= @t1352 @t1850))))) % 6.34/6.55 (assume @p1309 (forall (@list @t327 @t2 @t23) (=> (forall @t1242 (=> @t1856 @t1855)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t420) @t327)) (=> @t1854 (exists @t1242 (and @t1853 @t1852))))))) % 6.34/6.55 (assume @p1310 (forall @t675 (= (tptp.hAPP @t1858 tptp.c_Int_OMin) @t1857))) % 6.34/6.55 (assume @p1311 (tptp.hBOOL (tptp.hAPP @t1859 tptp.c_Int_OMin))) % 6.34/6.55 (assume @p1312 (not (tptp.hBOOL (tptp.hAPP @t1860 tptp.c_Int_OMin)))) % 6.34/6.55 (assume @p1313 (tptp.hBOOL (tptp.hAPP @t1860 @t636))) % 6.34/6.55 (assume @p1314 (= tptp.c_Int_OMin @t1250)) % 6.34/6.55 (assume @p1315 (forall @t675 (= (tptp.hAPP (tptp.hAPP @t710 tptp.c_Int_OMin) @t322) @t785))) % 6.34/6.55 (assume @p1316 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1850))) % 6.34/6.55 (assume @p1317 (forall @t728 (=> @t1637 (= (tptp.hAPP @t1863 @t1862) @t1861)))) % 6.34/6.55 (assume @p1318 (forall @t728 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t730 @t1862) @t317) @t1861)))) % 6.34/6.55 (assume @p1319 (forall @t447 (=> @t1637 (= @t1862 @t1045)))) % 6.34/6.55 (assume @p1320 (forall @t447 (=> @t1637 (= @t1045 @t1862)))) % 6.34/6.55 (assume @p1321 (forall @t447 (=> @t1672 (= (tptp.hAPP @t1630 @t1862) @t929)))) % 6.34/6.55 (assume @p1322 (forall @t279 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t278 @t1850) @t636))) % 6.34/6.55 (assume @p1323 (forall @t316 (=> (= @t1718 @t901) (or (= @t264 @t901) (= @t264 @t1850))))) % 6.34/6.55 (assume @p1324 (forall @t341 (= @t1102 (or @t1100 (and (= @t325 @t1850) (= @t23 @t1850)))))) % 6.34/6.55 (assume @p1325 (forall @t447 (=> @t1637 (= (tptp.hAPP @t725 @t1850) @t1862)))) % 6.34/6.55 (assume @p1326 (forall @t279 (= (tptp.hAPP @t1351 @t1850) @t1294))) % 6.34/6.55 (assume @p1327 (forall @t675 (= @t1857 (tptp.hAPP @t989 @t901)))) % 6.34/6.55 (assume @p1328 (forall @t882 (=> @t1672 (= (tptp.hAPP @t1630 (tptp.hAPP @t1864 @t10)) @t929)))) % 6.34/6.55 (assume @p1329 (forall @t1284 (=> @t1307 (= (tptp.hAPP (tptp.hAPP @t1347 @t1850) @t389) @t1850)))) % 6.34/6.55 (assume @p1330 (forall @t786 (=> @t1637 (= (tptp.hAPP @t1633 @t1857) (tptp.hAPP @t1010 @t1668))))) % 6.34/6.55 (assume @p1331 (forall @t1571 (and (=> @t1865 (= @t1847 @t136)) (=> (not @t1865) (= @t1847 (tptp.c_Nitpick_Onat__gcd @t135 @t1409)))))) % 6.34/6.55 (assume @p1332 (forall @t138 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t136) @t135) (tptp.hAPP @t623 (tptp.c_Nitpick_Onat__gcd @t1818 @t1817))))) % 6.34/6.55 (assume @p1333 (forall @t1621 (and (=> @t1867 (= @t1866 @t933)) (=> @t1868 (= @t1866 @t1845))))) % 6.34/6.55 (assume @p1334 (forall @t1621 (and (=> @t1867 (= @t1869 @t933)) (=> @t1868 (= @t1869 @t1845))))) % 6.34/6.55 (assume @p1335 (forall @t875 (=> @t1626 (= @t1625 (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 (tptp.hAPP @t1871 @t1870))))))) % 6.34/6.55 (assume @p1336 (forall @t1874 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1873)) @t1872))) % 6.34/6.55 (assume @p1337 (forall @t1843 (and (=> @t1867 (= @t1877 @t214)) (=> @t1868 (= @t1877 (tptp.hAPP (tptp.hAPP @t780 @t1875) @t322)))))) % 6.34/6.55 (assume @p1338 (forall @t1814 (and (=> @t1867 (= @t1878 @t214)) (=> @t1868 (= @t1878 @t1875))))) % 6.34/6.55 (assume @p1339 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 6.34/6.55 (assume @p1340 (forall @t447 (=> @t1637 (tptp.c_Int_Oiszero @t35 @t1879)))) % 6.34/6.55 (assume @p1341 (= tptp.c_Int_OPls @t636)) % 6.34/6.55 (assume @p1342 (tptp.hBOOL (tptp.hAPP @t1880 tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1343 (not (tptp.hBOOL (tptp.hAPP @t1881 tptp.c_Int_OPls)))) % 6.34/6.55 (assume @p1344 (forall @t675 (= (tptp.hAPP @t1882 @t322) @t322))) % 6.34/6.55 (assume @p1345 (forall @t675 (= (tptp.hAPP @t989 tptp.c_Int_OPls) @t322))) % 6.34/6.55 (assume @p1346 (forall @t928 (= (tptp.hAPP (tptp.hAPP @t710 tptp.c_Int_OPls) @t681) tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1347 (forall @t675 (= (tptp.hAPP @t1858 tptp.c_Int_OPls) @t322))) % 6.34/6.55 (assume @p1348 (= @t1883 tptp.c_Int_OPls)) % 6.34/6.55 (assume @p1349 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 6.34/6.55 (assume @p1350 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1351 (forall @t896 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t136)) @t136))) % 6.34/6.55 (assume @p1352 (forall @t447 (=> @t647 (tptp.c_Int_Oiszero @t35 @t364)))) % 6.34/6.55 (assume @p1353 (forall @t707 (=> @t180 (= (tptp.c_Int_Oiszero @t30 @t628) @t1884)))) % 6.34/6.55 (assume @p1354 (forall @t447 (=> @t647 (not (tptp.c_Int_Oiszero @t35 @t929))))) % 6.34/6.55 (assume @p1355 (forall @t447 (=> @t1637 (= @t1879 @t364)))) % 6.34/6.55 (assume @p1356 (forall @t447 (=> @t1637 (= @t364 @t1879)))) % 6.34/6.55 (assume @p1357 (forall @t369 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t365 @t1879) @t278) @t278)))) % 6.34/6.55 (assume @p1358 (forall @t369 (=> @t1637 (= (tptp.hAPP @t366 @t1879) @t278)))) % 6.34/6.55 (assume @p1359 (not (tptp.hBOOL (tptp.hAPP @t1881 @t636)))) % 6.34/6.55 (assume @p1360 (= @t1885 @t214)) % 6.34/6.55 (assume @p1361 (= @t214 @t1885)) % 6.34/6.55 (assume @p1362 (= @t636 @t1886)) % 6.34/6.55 (assume @p1363 (forall (@list @t264 @t990) (=> (tptp.hBOOL (tptp.hAPP @t1881 @t990)) (= (tptp.hAPP @t1497 @t1619) (tptp.hAPP @t1460 @t1887))))) % 6.34/6.55 (assume @p1364 (tptp.hBOOL (tptp.hAPP @t1859 tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1365 (not (tptp.hBOOL (tptp.hAPP @t1880 tptp.c_Int_OMin)))) % 6.34/6.55 (assume @p1366 (not (tptp.hBOOL (tptp.hAPP @t1881 tptp.c_Int_OMin)))) % 6.34/6.55 (assume @p1367 (tptp.hBOOL (tptp.hAPP @t1860 tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1368 (not (= @t1886 @t1850))) % 6.34/6.55 (assume @p1369 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1886)))) % 6.34/6.55 (assume @p1370 (forall @t1888 (=> @t1626 (= (= @t352 @t1623) (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 (tptp.hAPP @t1882 @t1870))))))) % 6.34/6.55 (assume @p1371 (forall @t380 (=> @t1626 (= (= @t1624 @t352) (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 (tptp.hAPP @t1871 @t1883))))))) % 6.34/6.55 (assume @p1372 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 6.34/6.55 (assume @p1373 (forall @t1541 (= @t1758 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 (tptp.c_Int_Opred @t327)) @t1539))))) % 6.34/6.55 (assume @p1374 (forall @t675 (= @t1889 (tptp.hAPP @t1858 @t901)))) % 6.34/6.55 (assume @p1375 (forall @t675 (= (tptp.hAPP @t989 tptp.c_Int_OMin) @t1889))) % 6.34/6.55 (assume @p1376 (forall @t675 (= (tptp.hAPP (tptp.hAPP @t626 tptp.c_Int_OMin) @t322) @t1889))) % 6.34/6.55 (assume @p1377 (forall @t1621 (and (=> @t1890 (= @t1620 @t214)) (=> (not @t1890) (= @t1620 @t1887))))) % 6.34/6.55 (assume @p1378 (forall @t1874 (= (= @t214 @t1837) @t1892))) % 6.34/6.55 (assume @p1379 (forall @t1874 (= @t1872 @t1892))) % 6.34/6.55 (assume @p1380 (tptp.hBOOL (tptp.hAPP @t898 @t1886))) % 6.34/6.55 (assume @p1381 (forall @t1838 (= (tptp.hBOOL (tptp.hAPP @t1894 @t1836)) (and (=> @t1893 (tptp.hBOOL (tptp.hAPP @t1881 @t1832))) @t1893)))) % 6.34/6.55 (assume @p1382 (forall @t1838 (= (tptp.hBOOL (tptp.hAPP @t1895 @t1836)) (=> (not (tptp.hBOOL (tptp.hAPP @t1891 @t1832))) @t1892)))) % 6.34/6.55 (assume @p1383 (forall @t447 (=> @t1637 (not (tptp.c_Int_Oiszero @t35 @t1862))))) % 6.34/6.55 (assume @p1384 (forall @t380 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1701 @t352)) (tptp.hBOOL (tptp.hAPP @t1179 tptp.c_Int_OPls)))))) % 6.34/6.55 (assume @p1385 (forall @t1888 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1003 @t1623)) (tptp.hBOOL (tptp.hAPP @t1880 @t696)))))) % 6.34/6.55 (assume @p1386 (forall @t1888 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t588 @t1623)) (tptp.hBOOL (tptp.hAPP @t1881 @t696)))))) % 6.34/6.55 (assume @p1387 (forall @t380 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1703 @t352)) (tptp.hBOOL (tptp.hAPP @t1103 tptp.c_Int_OPls)))))) % 6.34/6.55 (assume @p1388 (forall @t1874 (= (tptp.hBOOL (tptp.hAPP @t475 @t1837)) (tptp.hBOOL (tptp.hAPP @t1881 @t1684))))) % 6.34/6.55 (assume @p1389 (forall @t1814 (and (=> @t1867 (= @t1896 @t1786)) (=> @t1868 (and (=> @t1897 (= @t1896 @t1619)) (=> (not @t1897) (= @t1896 @t1839))))))) % 6.34/6.55 (assume @p1390 (forall @t1723 (=> @t1637 (= (tptp.hAPP @t1633 (tptp.c_Int_Opred @t681)) (tptp.hAPP (tptp.hAPP @t365 @t1045) @t1704))))) % 6.34/6.55 (assume @p1391 (forall @t380 (=> @t1626 (= (= @t1624 @t926) (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 (tptp.hAPP @t1871 @t1899))))))) % 6.34/6.55 (assume @p1392 (forall @t1888 (=> @t1626 (= (= @t926 @t1623) (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 (tptp.hAPP @t1900 @t1870))))))) % 6.34/6.55 (assume @p1393 (forall @t1723 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t1476 @t929) @t1704) (tptp.hAPP @t1633 (tptp.hAPP @t1900 @t831)))))) % 6.34/6.55 (assume @p1394 (forall @t1638 (=> @t1637 (= (tptp.hAPP @t1719 @t929) (tptp.hAPP @t1633 (tptp.hAPP @t1707 @t1899)))))) % 6.34/6.55 (assume @p1395 (forall @t1909 (= (tptp.hAPP @t1908 @t1619) (tptp.hAPP @t1905 @t1619)))) % 6.34/6.55 (assume @p1396 (forall @t316 (= (tptp.hAPP @t1908 @t10) (tptp.hAPP @t1905 @t10)))) % 6.34/6.55 (assume @p1397 (forall @t1541 (= (= @t1912 @t1911) @t1910))) % 6.34/6.55 (assume @p1398 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1913 @t1911)) @t1758))) % 6.34/6.55 (assume @p1399 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1919 @t1917)) @t1916))) % 6.34/6.55 (assume @p1400 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1921 @t1911)) @t1540))) % 6.34/6.55 (assume @p1401 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1923 @t1917)) @t1922))) % 6.34/6.55 (assume @p1402 (forall @t1925 (not (= tptp.c_Int_OPls @t1924)))) % 6.34/6.55 (assume @p1403 (forall @t675 (not (= @t1926 tptp.c_Int_OPls)))) % 6.34/6.55 (assume @p1404 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 6.34/6.55 (assume @p1405 (forall @t1927 (= (= tptp.c_Int_OMin @t1911) (= tptp.c_Int_OMin @t1539)))) % 6.34/6.55 (assume @p1406 (forall @t1928 (= (= @t1912 tptp.c_Int_OMin) (= @t327 tptp.c_Int_OMin)))) % 6.34/6.55 (assume @p1407 (forall @t1931 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1930) @t636)) @t1929))) % 6.34/6.55 (assume @p1408 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1880 @t1912)) @t1932))) % 6.34/6.55 (assume @p1409 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1921 tptp.c_Int_OPls)) @t1933))) % 6.34/6.55 (assume @p1410 (forall @t675 (= @t1926 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t998 @t322)) @t322)))) % 6.34/6.55 (assume @p1411 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1913 tptp.c_Int_OMin)) @t1934))) % 6.34/6.55 (assume @p1412 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1859 @t1912)) (tptp.hBOOL (tptp.hAPP @t1859 @t327))))) % 6.34/6.55 (assume @p1413 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1860 @t1912)) @t1935))) % 6.34/6.55 (assume @p1414 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1921 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1331 tptp.c_Int_OMin))))) % 6.34/6.55 (assume @p1415 (forall @t1931 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1635 @t1930))) @t1937))) % 6.34/6.55 (assume @p1416 (forall @t675 (= (tptp.hAPP @t713 @t1926) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t785))))) % 6.34/6.55 (assume @p1417 (forall @t1723 (=> (and @t1637 (tptp.class_Int_Oring__char__0 @t35)) (not (tptp.c_Int_Oiszero @t35 @t1938))))) % 6.34/6.55 (assume @p1418 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1898)) % 6.34/6.55 (assume @p1419 (forall @t1723 (=> @t1637 (= @t1938 (tptp.hAPP (tptp.hAPP @t365 @t1939) @t1704))))) % 6.34/6.55 (assume @p1420 (forall @t369 (=> @t1637 (= (tptp.hAPP @t736 @t1940) @t278)))) % 6.34/6.55 (assume @p1421 (forall @t369 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t730 @t1940) @t278) @t278)))) % 6.34/6.55 (assume @p1422 (forall @t447 (=> @t1637 (= @t1940 @t929)))) % 6.34/6.55 (assume @p1423 (forall @t447 (=> @t1637 (= @t929 @t1940)))) % 6.34/6.55 (assume @p1424 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1913 tptp.c_Int_OPls)) @t1933))) % 6.34/6.55 (assume @p1425 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1881 @t1912)) @t1932))) % 6.34/6.55 (assume @p1426 (= @t901 (tptp.hAPP @t1635 @t1898))) % 6.34/6.55 (assume @p1427 (= @t933 @t1941)) % 6.34/6.55 (assume @p1428 (= @t1941 @t933)) % 6.34/6.55 (assume @p1429 (forall @t1925 (= (tptp.hAPP @t1945 @t1924) @t1944))) % 6.34/6.55 (assume @p1430 (= (tptp.hAPP @t713 tptp.c_Int_OMin) @t1898)) % 6.34/6.55 (assume @p1431 (forall @t447 (=> @t1637 (not (tptp.c_Int_Oiszero @t35 @t1940))))) % 6.34/6.55 (assume @p1432 (= @t1941 @t300)) % 6.34/6.55 (assume @p1433 (= @t1902 (tptp.hAPP tptp.c_Nat_OSuc @t1946))) % 6.34/6.55 (assume @p1434 (forall @t369 (=> @t951 (= (tptp.hAPP @t1735 @t1902) (tptp.hAPP (tptp.hAPP @t730 @t869) @t278))))) % 6.34/6.55 (assume @p1435 (tptp.hBOOL (tptp.hAPP @t898 @t1947))) % 6.34/6.55 (assume @p1436 (forall @t131 (= @t1950 @t1948))) % 6.34/6.55 (assume @p1437 (= @t1947 (tptp.hAPP @t623 @t1902))) % 6.34/6.55 (assume @p1438 (= @t1902 (tptp.hAPP tptp.c_Int_Onat @t1947))) % 6.34/6.55 (assume @p1439 (forall @t1888 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t926) @t1623)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1898) @t696)))))) % 6.34/6.55 (assume @p1440 (forall @t380 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1701 @t926)) (tptp.hBOOL (tptp.hAPP @t1179 @t1898)))))) % 6.34/6.55 (assume @p1441 (forall @t380 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1703 @t926)) (tptp.hBOOL (tptp.hAPP @t1103 @t1898)))))) % 6.34/6.55 (assume @p1442 (forall @t1888 (=> @t1702 (= (tptp.hBOOL (tptp.hAPP @t1748 @t1623)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1898) @t696)))))) % 6.34/6.55 (assume @p1443 (forall @t1723 (=> @t1637 (= @t1939 (tptp.hAPP @t1633 (tptp.hAPP @t1900 @t681)))))) % 6.34/6.55 (assume @p1444 (forall @t1638 (=> @t1637 (= (tptp.hAPP @t1705 @t929) (tptp.hAPP @t1633 (tptp.hAPP @t1707 @t1898)))))) % 6.34/6.55 (assume @p1445 (forall @t502 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1885) @t10)) (= @t1498 (tptp.hAPP @t1460 (tptp.hAPP @t1494 @t1941)))))) % 6.34/6.55 (assume @p1446 (forall @t316 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t264 @t1950) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t264 @t1948)))) % 6.34/6.55 (assume @p1447 (forall @t316 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1907 @t10) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1904 @t10)))) % 6.34/6.55 (assume @p1448 (forall @t1909 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1907 @t1619) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1904 @t1619)))) % 6.34/6.55 (assume @p1449 (forall @t316 (= (tptp.hAPP @t1372 @t1950) (tptp.hAPP @t1372 @t1948)))) % 6.34/6.55 (assume @p1450 (forall @t1962 (and (=> @t1959 (= @t1958 (tptp.hAPP (tptp.hAPP @t626 @t1961) @t901))) (=> @t1960 (= @t1958 (tptp.hAPP (tptp.hAPP @t1454 (tptp.hAPP @t1954 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1951 @t1761))) @t901)))))) % 6.34/6.55 (assume @p1451 (forall @t1295 (=> @t1319 (= @t1967 (tptp.hAPP (tptp.hAPP @t1454 (tptp.hAPP @t1954 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1963 @t278))) @t901))))) % 6.34/6.55 (assume @p1452 (forall @t1295 (=> @t1323 (= @t1968 (tptp.hAPP @t1407 @t278))))) % 6.34/6.55 (assume @p1453 (forall @t1295 (=> @t1319 (= @t1968 (tptp.hAPP (tptp.hAPP @t1347 @t1963) @t278))))) % 6.34/6.55 (assume @p1454 (forall @t1295 (=> @t1323 (= @t1967 (tptp.hAPP @t998 (tptp.hAPP @t1954 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t389 @t278))))))) % 6.34/6.55 (assume @p1455 (forall @t436 (=> @t647 (=> @t910 (= (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1954 @t136))) (tptp.hAPP (tptp.hAPP @t365 @t1969) @t1969)))))) % 6.34/6.55 (assume @p1456 (forall @t1541 (= (= @t1971 @t1970) @t1910))) % 6.34/6.55 (assume @p1457 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1974 @t1972)) @t1916))) % 6.34/6.55 (assume @p1458 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1975 @t1970)) @t1758))) % 6.34/6.55 (assume @p1459 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1976 @t1972)) @t1922))) % 6.34/6.55 (assume @p1460 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1977 @t1970)) @t1540))) % 6.34/6.55 (assume @p1461 (forall @t1928 (= (= @t1971 tptp.c_Int_OPls) (= @t327 tptp.c_Int_OPls)))) % 6.34/6.55 (assume @p1462 (forall @t1927 (= (= tptp.c_Int_OPls @t1970) (= tptp.c_Int_OPls @t1539)))) % 6.34/6.55 (assume @p1463 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 6.34/6.55 (assume @p1464 (forall @t1315 (not (= @t1926 @t1978)))) % 6.34/6.55 (assume @p1465 (forall @t1315 (not (= @t1979 @t1924)))) % 6.34/6.55 (assume @p1466 (forall @t675 (= @t1979 (tptp.hAPP @t989 @t322)))) % 6.34/6.55 (assume @p1467 (forall @t1315 (= (tptp.hAPP @t1981 @t1978) (tptp.c_Int_OBit0 @t1980)))) % 6.34/6.55 (assume @p1468 (forall @t1315 (= (tptp.hAPP (tptp.hAPP @t710 @t1979) @t558) @t1982))) % 6.34/6.55 (assume @p1469 (forall @t1315 (= (tptp.hAPP @t1985 @t1978) @t1984))) % 6.34/6.55 (assume @p1470 (forall @t675 (= (tptp.hAPP @t713 @t1979) (tptp.c_Int_OBit0 @t785)))) % 6.34/6.55 (assume @p1471 (forall @t675 (not (= @t1979 tptp.c_Int_OMin)))) % 6.34/6.55 (assume @p1472 (forall @t1925 (not (= tptp.c_Int_OMin @t1978)))) % 6.34/6.55 (assume @p1473 (forall @t1931 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1986) @t636)) @t1929))) % 6.34/6.55 (assume @p1474 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1880 @t1971)) @t1932))) % 6.34/6.55 (assume @p1475 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1975 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1424 tptp.c_Int_OPls))))) % 6.34/6.55 (assume @p1476 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1975 @t1911)) @t1758))) % 6.34/6.55 (assume @p1477 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1974 @t1917)) @t1916))) % 6.34/6.55 (assume @p1478 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1977 tptp.c_Int_OPls)) @t1933))) % 6.34/6.55 (assume @p1479 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1881 @t1971)) (tptp.hBOOL (tptp.hAPP @t1881 @t327))))) % 6.34/6.55 (assume @p1480 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1923 @t1972)) @t1922))) % 6.34/6.55 (assume @p1481 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1921 @t1970)) @t1540))) % 6.34/6.55 (assume @p1482 (forall @t1315 (= (tptp.hAPP @t1988 @t1978) @t1987))) % 6.34/6.55 (assume @p1483 (forall @t1315 (= (tptp.hAPP @t1981 @t1924) @t1987))) % 6.34/6.55 (assume @p1484 (forall @t1925 (= (tptp.hAPP @t1945 @t1978) (tptp.c_Int_OBit0 (tptp.hAPP @t1945 @t558))))) % 6.34/6.55 (assume @p1485 (forall @t1315 (= (tptp.hAPP @t1989 @t1924) @t1984))) % 6.34/6.55 (assume @p1486 (forall @t1315 (= (tptp.hAPP @t1989 @t1978) (tptp.c_Int_OBit1 @t1983)))) % 6.34/6.55 (assume @p1487 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1975 tptp.c_Int_OMin)) @t1934))) % 6.34/6.55 (assume @p1488 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1860 @t1971)) @t1935))) % 6.34/6.55 (assume @p1489 (forall @t1763 (= (tptp.hAPP (tptp.hAPP @t1347 @t1991) @t1956) @t1990))) % 6.34/6.55 (assume @p1490 (forall @t1931 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1635 @t1986))) @t1937))) % 6.34/6.55 (assume @p1491 (forall @t675 (= (tptp.c_Int_Opred @t1926) @t1979))) % 6.34/6.55 (assume @p1492 (forall @t675 (= (tptp.c_Int_Opred @t1979) (tptp.c_Int_OBit1 @t1889)))) % 6.34/6.55 (assume @p1493 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 6.34/6.55 (assume @p1494 (forall @t1992 (=> @t1627 (= (tptp.c_Int_Oiszero @t30 (tptp.hAPP @t1622 @t1986)) (tptp.c_Int_Oiszero @t30 @t1628))))) % 6.34/6.55 (assume @p1495 (forall @t675 (= (tptp.c_Int_Osucc @t1979) @t1926))) % 6.34/6.55 (assume @p1496 (forall @t675 (= (tptp.c_Int_Osucc @t1926) (tptp.c_Int_OBit0 @t1857)))) % 6.34/6.55 (assume @p1497 (forall @t1723 (=> @t1637 (= @t1993 (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t372 @t1704)) @t1704))))) % 6.34/6.55 (assume @p1498 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1977 @t1911)) @t1758))) % 6.34/6.55 (assume @p1499 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1976 @t1917)) @t1916))) % 6.34/6.55 (assume @p1500 (forall @t1541 (= (tptp.hBOOL (tptp.hAPP @t1913 @t1970)) @t1540))) % 6.34/6.55 (assume @p1501 (forall @t1920 (= (tptp.hBOOL (tptp.hAPP @t1919 @t1972)) @t1922))) % 6.34/6.55 (assume @p1502 (forall @t1315 (= (tptp.hAPP (tptp.hAPP @t710 @t1926) @t558) (tptp.hAPP (tptp.hAPP @t626 @t1982) @t558)))) % 6.34/6.55 (assume @p1503 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1859 @t1971)) @t1935))) % 6.34/6.55 (assume @p1504 (forall @t1928 (= (tptp.hBOOL (tptp.hAPP @t1977 tptp.c_Int_OMin)) @t1934))) % 6.34/6.55 (assume @p1505 (forall @t1925 (= (tptp.hAPP @t1942 @t1924) (tptp.c_Int_OBit0 @t1943)))) % 6.34/6.55 (assume @p1506 (forall @t1925 (= (tptp.hAPP @t1942 @t1978) @t1944))) % 6.34/6.55 (assume @p1507 (forall @t1315 (= (tptp.hAPP @t1985 @t1924) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1454 @t1889) @t558))))) % 6.34/6.55 (assume @p1508 (forall @t1315 (= (tptp.hAPP @t1988 @t1924) (tptp.c_Int_OBit0 (tptp.hAPP @t989 (tptp.c_Int_Osucc @t558)))))) % 6.34/6.55 (assume @p1509 (forall @t1723 (=> @t1637 (= (tptp.hAPP @t1012 @t1704) @t1993)))) % 6.34/6.55 (assume @p1510 (forall @t131 (=> (tptp.hBOOL (tptp.hAPP @t898 @t1994)) (and (tptp.hBOOL (tptp.hAPP @t898 (tptp.hAPP @t1635 (tptp.c_Int_OBit0 @t10)))) (tptp.hBOOL (tptp.hAPP @t898 (tptp.hAPP @t1635 (tptp.c_Int_OBit1 @t10)))))))) % 6.34/6.55 (assume @p1511 (forall @t728 (=> @t1637 (= (tptp.hAPP @t1863 @t1997) @t1996)))) % 6.34/6.55 (assume @p1512 (forall @t728 (=> @t1637 (= (tptp.hAPP @t1998 @t317) @t1996)))) % 6.34/6.55 (assume @p1513 (forall @t447 (=> @t1637 (= @t1011 @t1997)))) % 6.34/6.55 (assume @p1514 (forall @t447 (=> @t647 (= (tptp.hAPP @t1797 @t1999) @t364)))) % 6.34/6.55 (assume @p1515 (forall @t359 (=> @t1044 (= (= @t2000 @t352) @t353)))) % 6.34/6.55 (assume @p1516 (= @t1999 @t1946)) % 6.34/6.55 (assume @p1517 (= @t1946 @t1999)) % 6.34/6.55 (assume @p1518 (forall @t369 (=> @t951 (= @t2001 @t869)))) % 6.34/6.55 (assume @p1519 (forall @t436 (=> @t370 (= @t892 @t2002)))) % 6.34/6.55 (assume @p1520 (tptp.hBOOL (tptp.hAPP @t898 @t1953))) % 6.34/6.55 (assume @p1521 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t301 @t1999) @t10) @t1949))) % 6.34/6.55 (assume @p1522 (forall @t131 (= (tptp.hAPP @t312 @t1999) @t1949))) % 6.34/6.55 (assume @p1523 (forall @t447 (=> @t647 (= (tptp.hAPP @t1782 @t1999) @t929)))) % 6.34/6.55 (assume @p1524 (forall @t369 (=> @t727 (= (tptp.hAPP @t1800 @t1999) @t2001)))) % 6.34/6.55 (assume @p1525 (forall @t680 (= (tptp.hAPP (tptp.hAPP @t780 @t317) @t1999) @t2003))) % 6.34/6.55 (assume @p1526 (forall @t680 (= (tptp.hAPP @t2004 @t317) @t2003))) % 6.34/6.55 (assume @p1527 (forall @t1741 (=> @t951 (= @t2007 @t2005)))) % 6.34/6.55 (assume @p1528 (= @t1953 (tptp.hAPP @t623 @t1999))) % 6.34/6.55 (assume @p1529 (= @t1999 @t2008)) % 6.34/6.55 (assume @p1530 (forall @t369 (=> @t657 (= (tptp.hAPP @t1788 @t1999) @t2001)))) % 6.34/6.55 (assume @p1531 (forall @t369 (=> @t657 (= (tptp.hAPP @t1630 @t2001) @t2001)))) % 6.34/6.55 (assume @p1532 (= (tptp.hAPP @t1171 @t933) @t1999)) % 6.34/6.55 (assume @p1533 (forall @t266 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1906 @t1999) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t264 @t1999)))) % 6.34/6.55 (assume @p1534 (forall @t266 (= (tptp.hAPP (tptp.hAPP @t1357 @t1906) @t1999) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1372 @t1999))))) % 6.34/6.55 (assume @p1535 (forall @t1763 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1991 @t1956) @t1961))) % 6.34/6.55 (assume @p1536 (forall @t266 (= (tptp.hAPP (tptp.hAPP @t1357 (tptp.hAPP @t314 @t264)) @t1999) @t264))) % 6.34/6.55 (assume @p1537 (forall @t658 (=> @t603 (=> (= @t2002 @t2009) (=> @t943 (=> @t942 @t137)))))) % 6.34/6.55 (assume @p1538 (forall @t658 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2002) @t2009)) (=> @t942 @t1185))))) % 6.34/6.55 (assume @p1539 (forall @t369 (=> @t657 (tptp.hBOOL (tptp.hAPP @t932 @t2001))))) % 6.34/6.55 (assume @p1540 (forall @t359 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t588 @t2000)) @t1678)))) % 6.34/6.55 (assume @p1541 (forall @t369 (=> @t657 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2001) @t364)))))) % 6.34/6.55 (assume @p1542 (forall @t875 (=> @t587 (= (= @t2011 @t352) @t872)))) % 6.34/6.55 (assume @p1543 (forall (@list @t681 @t30) (=> (and (tptp.class_Groups_Omonoid__mult @t30) @t1629) (= (tptp.hAPP (tptp.hAPP @t1744 @t2012) @t1999) (tptp.hAPP (tptp.hAPP @t776 @t2012) @t2012))))) % 6.34/6.55 (assume @p1544 (forall @t131 (=> (tptp.hBOOL (tptp.hAPP @t488 @t1999)) (or @t342 (= @t10 @t300))))) % 6.34/6.55 (assume @p1545 (= @t2008 @t1946)) % 6.34/6.55 (assume @p1546 (forall @t359 (=> @t1044 (= (= @t2000 @t926) (or (= @t140 @t926) (= @t140 @t1043)))))) % 6.34/6.55 (assume @p1547 (forall @t2015 (=> @t370 (= (tptp.hAPP @t1655 @t2006) @t2014)))) % 6.34/6.55 (assume @p1548 (forall @t1741 (=> @t727 (= (tptp.hAPP @t1800 @t2006) @t2007)))) % 6.34/6.55 (assume @p1549 (forall @t658 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2002) @t2009)) (=> @t942 @t654))))) % 6.34/6.55 (assume @p1550 (forall @t658 (=> @t657 (tptp.hBOOL (tptp.hAPP @t932 @t2016))))) % 6.34/6.55 (assume @p1551 (forall @t875 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2011) @t352)) @t872)))) % 6.34/6.55 (assume @p1552 (forall @t658 (=> @t657 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2016) @t364)))))) % 6.34/6.55 (assume @p1553 (forall @t875 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t588 @t2011)) @t890)))) % 6.34/6.55 (assume @p1554 (forall @t658 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t1639 @t2018) @t1999) (tptp.hAPP (tptp.hAPP @t365 @t2016) @t2017))))) % 6.34/6.55 (assume @p1555 (forall @t1741 (=> @t657 (tptp.hBOOL (tptp.hAPP @t932 @t2007))))) % 6.34/6.55 (assume @p1556 (forall @t1741 (=> @t951 (= @t2020 (tptp.hAPP @t736 @t2005))))) % 6.34/6.55 (assume @p1557 (forall @t2015 (=> @t370 (= (tptp.hAPP @t1655 @t2019) (tptp.hAPP @t825 @t2014))))) % 6.34/6.55 (assume @p1558 (forall @t882 (=> @t727 (= (tptp.hAPP @t1805 @t2006) @t929)))) % 6.34/6.55 (assume @p1559 (forall @t1962 (and (=> @t1959 (= @t2021 @t1990)) (=> @t1960 (= @t2021 (tptp.hAPP (tptp.hAPP @t1347 @t1951) @t1761)))))) % 6.34/6.55 (assume @p1560 (forall @t2023 (= (tptp.hBOOL (tptp.hAPP @t475 @t2022)) (= @t2022 @t933)))) % 6.34/6.55 (assume @p1561 (forall @t131 (=> @t1419 (tptp.hBOOL (tptp.hAPP @t475 (tptp.hAPP @t1371 @t1999)))))) % 6.34/6.55 (assume @p1562 (forall @t658 (=> @t1637 (= (tptp.hAPP (tptp.hAPP @t1639 @t1538) @t1999) (tptp.hAPP (tptp.hAPP @t1476 @t2016) @t2017))))) % 6.34/6.55 (assume @p1563 (forall @t1741 (=> @t657 (=> (tptp.hBOOL (tptp.hAPP @t932 @t2020)) @t1021)))) % 6.34/6.55 (assume @p1564 (forall @t1741 (=> @t657 (=> @t577 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2020) @t364)))))) % 6.34/6.55 (assume @p1565 (forall @t882 (=> @t727 (= (tptp.hAPP @t1805 @t2019) @t1045)))) % 6.34/6.55 (assume @p1566 (forall @t882 (=> @t1637 (= (tptp.hAPP @t1864 @t2006) @t929)))) % 6.34/6.55 (assume @p1567 (forall @t882 (=> @t1637 (= (tptp.hAPP @t1864 @t2019) @t1862)))) % 6.34/6.55 (assume @p1568 (forall @t131 (=> @t530 (tptp.hBOOL (tptp.hAPP @t475 (tptp.hAPP (tptp.hAPP @t1357 @t1173) @t1999)))))) % 6.34/6.55 (assume @p1569 (forall @t675 (and (=> @t2031 (= @t2028 @t636)) (=> (not @t2031) (and (=> @t2030 (= @t2028 @t2027)) (=> (not @t2030) (= @t2028 (tptp.hAPP (tptp.hAPP @t626 @t2027) @t901)))))))) % 6.34/6.55 (assume @p1570 (= @t2032 (tptp.hAPP @t2024 @t1898))) % 6.34/6.55 (assume @p1571 (forall @t2036 (=> (and @t2035 @t1626) (= (tptp.hBOOL (tptp.hAPP @t588 (tptp.hAPP (tptp.hAPP @t2034 @t2033) (tptp.hAPP @t1622 @t1952)))) (tptp.hBOOL (tptp.hAPP @t588 @t2033)))))) % 6.34/6.55 (assume @p1572 (forall (@list @t876 @t35) (=> (and @t1472 @t1637) (=> (tptp.hBOOL (tptp.hAPP @t580 @t876)) (tptp.hBOOL (tptp.hAPP @t580 (tptp.hAPP (tptp.hAPP @t2037 @t876) @t1997))))))) % 6.34/6.55 (assume @p1573 (tptp.c_Nat__Transfer_Ois__nat @t1953)) % 6.34/6.55 (assume @p1574 (forall (@list @t327 @t2 @t23 @t325) (=> (forall @t1242 (=> (and @t2038 @t1856) @t1855)) (=> @t497 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t2039) @t327)) (=> @t1854 (exists @t1242 (and @t2038 @t1853 @t1852)))))))) % 6.34/6.55 (assume @p1575 (= (tptp.hAPP (tptp.hAPP @t2040 @t2029) @t2032) @t2029)) % 6.34/6.55 (assume @p1576 (forall @t369 (=> @t2042 (= (tptp.hAPP @t2041 @t364) @t364)))) % 6.34/6.55 (assume @p1577 (forall @t369 (=> @t2043 (= (tptp.hAPP (tptp.hAPP @t2037 @t364) @t278) @t364)))) % 6.34/6.55 (assume @p1578 (forall @t396 (=> @t2043 (= (tptp.hAPP @t2046 @t111) (tptp.hAPP (tptp.hAPP @t365 @t2045) @t2044))))) % 6.34/6.55 (assume @p1579 (forall (@list @t681 @t317 @t135 @t136 @t35) (=> @t2049 (= (tptp.hAPP (tptp.hAPP @t730 @t2048) (tptp.hAPP (tptp.hAPP @t2037 @t317) @t681)) (tptp.hAPP (tptp.hAPP @t2037 @t826) (tptp.hAPP @t891 @t681)))))) % 6.34/6.55 (assume @p1580 (forall @t396 (=> @t2043 (= (tptp.hAPP @t736 @t2044) (tptp.hAPP (tptp.hAPP @t2037 @t737) @t111))))) % 6.34/6.55 (assume @p1581 (forall @t396 (=> @t2043 (= (tptp.hAPP (tptp.hAPP @t2037 @t1489) @t111) (tptp.hAPP (tptp.hAPP @t1476 @t2045) @t2044))))) % 6.34/6.55 (assume @p1582 (forall @t369 (=> @t2043 (= (tptp.hAPP @t2041 @t929) @t278)))) % 6.34/6.55 (assume @p1583 (forall @t579 (=> @t2049 @t2052))) % 6.34/6.55 (assume @p1584 (forall @t579 (=> @t2049 @t2054))) % 6.34/6.55 (assume @p1585 (forall @t579 (=> @t2043 (= @t2053 (tptp.hAPP @t2051 @t389))))) % 6.34/6.55 (assume @p1586 (forall @t1739 (=> @t2049 @t2055))) % 6.34/6.55 (assume @p1587 (forall @t579 (=> @t1472 @t2056))) % 6.34/6.55 (assume @p1588 (tptp.c_Nat__Transfer_Ois__nat @t636)) % 6.34/6.55 (assume @p1589 (forall @t138 (=> @t2058 (=> @t2057 (tptp.c_Nat__Transfer_Ois__nat @t906))))) % 6.34/6.55 (assume @p1590 (forall @t680 (tptp.c_Nat__Transfer_Ois__nat @t1062))) % 6.34/6.55 (assume @p1591 (tptp.c_Nat__Transfer_Ois__nat @t901)) % 6.34/6.55 (assume @p1592 (forall @t138 (=> @t2058 (=> @t2057 (tptp.c_Nat__Transfer_Ois__nat @t1000))))) % 6.34/6.55 (assume @p1593 (forall @t138 (=> @t2058 (=> @t2057 (tptp.c_Nat__Transfer_Ois__nat @t1302))))) % 6.34/6.55 (assume @p1594 (forall @t138 (=> @t2058 (=> @t2057 (tptp.c_Nat__Transfer_Ois__nat @t1386))))) % 6.34/6.55 (assume @p1595 (forall @t1642 (=> @t2058 (tptp.c_Nat__Transfer_Ois__nat @t1712)))) % 6.34/6.55 (assume @p1596 (forall @t745 (=> @t2035 (= (tptp.hBOOL (tptp.hAPP @t1003 @t2059)) @t1029)))) % 6.34/6.55 (assume @p1597 (forall @t745 (=> @t2035 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2059) @t352)) @t1030)))) % 6.34/6.55 (assume @p1598 (forall @t396 (=> @t1472 (=> @t958 (=> @t1018 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2045) @t2044))))))) % 6.34/6.55 (assume @p1599 (forall @t396 (=> @t1472 (=> @t958 (=> @t1040 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2044) @t2045))))))) % 6.34/6.55 (assume @p1600 (forall @t410 (=> @t2061 (=> @t847 (=> @t846 @t2060))))) % 6.34/6.55 (assume @p1601 (forall @t396 (=> @t2061 (=> @t519 (=> @t851 @t2060))))) % 6.34/6.55 (assume @p1602 (forall @t658 (=> @t2061 (=> @t2064 (=> @t2063 @t2062))))) % 6.34/6.55 (assume @p1603 (forall @t658 (=> @t2061 (=> @t2064 (=> @t2067 @t2066))))) % 6.34/6.55 (assume @p1604 (forall @t658 (=> @t2061 (=> @t1245 (=> @t2063 @t2066))))) % 6.34/6.55 (assume @p1605 (forall @t658 (=> @t2061 (=> @t1245 (=> @t2067 @t2062))))) % 6.34/6.55 (assume @p1606 (forall @t745 (=> @t2035 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2059) @t352)) (or (and @t589 @t2069) (and @t585 @t2068)))))) % 6.34/6.55 (assume @p1607 (forall @t745 (=> @t2035 (= (tptp.hBOOL (tptp.hAPP @t588 @t2059)) (or (and @t589 @t2068) (and @t585 @t2069)))))) % 6.34/6.55 (assume @p1608 (forall @t401 (=> @t2077 (= @t2076 (and (=> @t2073 @t2072) @t2071))))) % 6.34/6.55 (assume @p1609 (forall @t2080 (=> @t2077 (= @t2079 (and (=> @t2073 @t2078) @t2071))))) % 6.34/6.55 (assume @p1610 (forall @t529 (=> @t2049 (=> @t1413 (= (tptp.hAPP (tptp.hAPP @t2037 @t809) @t760) @t2050))))) % 6.34/6.55 (assume @p1611 (forall @t529 (=> @t2049 (=> @t1413 (= (tptp.hAPP (tptp.hAPP @t2037 @t844) @t843) @t2050))))) % 6.34/6.55 (assume @p1612 (forall (@list @t625 @t378 @t628 @t696 @t30) (=> @t2081 (=> @t889 (=> (not @t1884) (= (= (tptp.hAPP (tptp.hAPP @t2034 @t378) @t696) (tptp.hAPP (tptp.hAPP @t2034 @t625) @t628)) (= @t814 @t815))))))) % 6.34/6.55 (assume @p1613 (forall @t529 (=> @t2043 (=> @t1413 (=> (= @t809 @t389) (= @t278 @t2044)))))) % 6.34/6.55 (assume @p1614 (forall @t1019 (=> @t2043 (=> @t1413 (=> (= @t389 @t809) (= @t2044 @t278)))))) % 6.34/6.55 (assume @p1615 (forall @t2083 (=> @t2082 (=> @t2073 (= @t2079 @t2078))))) % 6.34/6.55 (assume @p1616 (forall @t514 (=> @t2082 (=> @t2073 (= @t2076 @t2072))))) % 6.34/6.55 (assume @p1617 (forall @t363 (=> @t2082 (=> (not @t802) (= (= @t2059 @t926) @t759))))) % 6.34/6.55 (assume @p1618 (forall @t369 (=> @t2043 @t2085))) % 6.34/6.55 (assume @p1619 (forall @t369 (=> @t2042 (and (=> @t797 (= @t2084 @t364)) @t2085)))) % 6.34/6.55 (assume @p1620 (forall @t865 (=> @t2043 (=> @t800 @t2052)))) % 6.34/6.55 (assume @p1621 (forall @t865 (=> @t2043 (=> @t800 @t2054)))) % 6.34/6.55 (assume @p1622 (forall (@list @t10 @t278 @t389 @t35) (=> @t2086 (=> @t800 @t2055)))) % 6.34/6.55 (assume @p1623 (forall @t865 (=> @t2061 (=> @t800 @t2056)))) % 6.34/6.55 (assume @p1624 (forall @t1741 (=> @t2049 (= (tptp.hAPP @t2087 @t1736) (tptp.hAPP (tptp.hAPP @t1639 (tptp.hAPP @t2087 @t278)) @t10))))) % 6.34/6.55 (assume @p1625 (forall @t138 (=> @t2058 (=> @t2057 (tptp.c_Nat__Transfer_Ois__nat @t1354))))) % 6.34/6.55 (assume @p1626 (forall @t658 (=> @t2061 (=> @t2089 (=> @t2063 @t2088))))) % 6.34/6.55 (assume @p1627 (forall @t658 (=> @t2061 (=> @t2089 (=> @t2067 @t2091))))) % 6.34/6.55 (assume @p1628 (forall @t2097 (=> @t2061 (=> @t943 (=> @t1185 (=> @t2096 (=> @t2095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2094) @t2093))))))))) % 6.34/6.55 (assume @p1629 (forall @t2097 (=> @t2061 (=> @t943 (=> @t654 (=> @t2096 (=> @t2095 @t2098))))))) % 6.34/6.55 (assume @p1630 (forall @t2097 (=> @t2061 (=> @t1245 (=> @t1185 (=> @t2096 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t681) @t317)) @t2098))))))) % 6.34/6.55 (assume @p1631 (forall @t658 (=> @t2061 (=> @t943 (=> @t2063 @t2091))))) % 6.34/6.55 (assume @p1632 (forall @t658 (=> @t2061 (=> @t943 (=> @t2067 @t2088))))) % 6.34/6.55 (assume @p1633 (forall @t396 (=> @t2061 (=> @t519 (=> @t846 @t2102))))) % 6.34/6.55 (assume @p1634 (forall @t410 (=> @t2061 (=> @t847 (=> @t851 @t2102))))) % 6.34/6.55 (assume @p1635 (forall @t2083 (=> @t2106 (=> @t862 (= @t2105 @t2103))))) % 6.34/6.55 (assume @p1636 (forall @t514 (=> @t2106 (=> @t862 (= @t2108 @t2107))))) % 6.34/6.55 (assume @p1637 (forall @t2110 (=> @t2061 (=> @t2067 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2109) @t136)) (tptp.hBOOL (tptp.hAPP @t1192 @t2048))))))) % 6.34/6.55 (assume @p1638 (forall @t1197 (=> @t2061 (=> @t2067 (=> (tptp.hBOOL (tptp.hAPP @t653 @t2109)) (tptp.hBOOL (tptp.hAPP @t2065 @t317))))))) % 6.34/6.55 (assume @p1639 (forall @t2083 (=> @t2106 (=> @t866 (= @t2105 @t2107))))) % 6.34/6.55 (assume @p1640 (forall @t514 (=> @t2106 (=> @t866 (= @t2108 @t2103))))) % 6.34/6.55 (assume @p1641 (forall @t2080 (=> @t2035 (= @t2105 (and (=> @t866 @t2107) (=> @t2112 (and (=> @t862 @t2103) (=> @t2111 @t589)))))))) % 6.34/6.55 (assume @p1642 (forall @t401 (=> @t2035 (= @t2108 (and (=> @t866 @t2103) (=> @t2112 (and (=> @t862 @t2107) (=> @t2111 @t585)))))))) % 6.34/6.55 (assume @p1643 (forall @t1825 (= @t2113 @t1068))) % 6.34/6.55 (assume @p1644 (forall @t2110 (=> @t2049 (=> @t2116 (= (tptp.hAPP @t1995 @t2048) @t2115))))) % 6.34/6.55 (assume @p1645 (forall @t2120 (=> @t2086 (=> @t2119 (= (tptp.hAPP @t1536 @t2118) (tptp.hAPP (tptp.hAPP @t2037 (tptp.hAPP (tptp.hAPP @t365 @t2117) @t135)) @t317)))))) % 6.34/6.55 (assume @p1646 (forall @t1197 (=> @t2049 (=> @t2116 (= (tptp.hAPP @t2121 @t317) @t2115))))) % 6.34/6.55 (assume @p1647 (forall @t2120 (=> @t2086 (=> @t2119 (= (tptp.hAPP (tptp.hAPP @t365 @t2094) @t135) (tptp.hAPP @t2114 @t317)))))) % 6.34/6.55 (assume @p1648 (forall @t2125 (=> @t2086 (=> @t2116 (=> @t2119 (= (tptp.hAPP @t2121 @t2124) (tptp.hAPP (tptp.hAPP @t2037 (tptp.hAPP (tptp.hAPP @t365 @t826) @t2123)) @t2122))))))) % 6.34/6.55 (assume @p1649 (forall @t2125 (=> @t2086 (=> @t2116 (=> @t2119 (= (tptp.hAPP (tptp.hAPP @t1476 @t2048) @t2124) (tptp.hAPP (tptp.hAPP @t2037 (tptp.hAPP (tptp.hAPP @t1476 @t826) @t2123)) @t2122))))))) % 6.34/6.55 (assume @p1650 (forall @t2120 (=> @t2086 (=> @t2119 (= (tptp.hAPP (tptp.hAPP @t1476 @t2094) @t135) (tptp.hAPP (tptp.hAPP @t2037 (tptp.hAPP @t1537 @t2109)) @t317)))))) % 6.34/6.55 (assume @p1651 (forall @t2120 (=> @t2086 (=> @t2119 (= (tptp.hAPP @t1537 @t2118) (tptp.hAPP (tptp.hAPP @t2037 (tptp.hAPP (tptp.hAPP @t1476 @t2117) @t135)) @t317)))))) % 6.34/6.55 (assume @p1652 (forall @t2132 (=> @t2131 (= (= @t140 @t2130) (and (=> @t2129 (= @t2128 @t64)) @t2127))))) % 6.34/6.55 (assume @p1653 (forall @t2135 (=> @t2131 (= (= @t1628 @t2075) (and (=> @t2073 (= @t2134 @t64)) @t2133))))) % 6.34/6.55 (assume @p1654 (forall @t2136 (=> @t2131 (= (= @t2075 @t1628) (and (=> @t2073 (= @t64 @t2134)) @t2133))))) % 6.34/6.55 (assume @p1655 (forall @t2137 (=> @t2131 (= (= @t2130 @t140) (and (=> @t2129 (= @t64 @t2128)) @t2127))))) % 6.34/6.55 (assume @p1656 (forall @t579 (=> @t2061 (=> @t519 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t515 @t2138) @t389)))))) % 6.34/6.55 (assume @p1657 (forall @t579 (=> @t2061 (=> @t519 (tptp.hBOOL (tptp.hAPP @t518 @t2138)))))) % 6.34/6.55 (assume @p1658 (forall @t436 (=> @t2139 (= (tptp.hAPP @t2047 @t1879) @t364)))) % 6.34/6.55 (assume @p1659 (forall @t1221 (=> @t1472 (=> @t2067 (= (tptp.hAPP (tptp.hAPP @t2037 @t1725) @t135) (tptp.hAPP @t1630 @t2048)))))) % 6.34/6.55 (assume @p1660 (forall @t369 (=> @t2140 (= (tptp.hAPP @t2041 @t1940) @t278)))) % 6.34/6.55 (assume @p1661 (forall @t436 (=> @t2140 (= (tptp.hAPP @t2047 @t1940) @t136)))) % 6.34/6.55 (assume @p1662 (forall @t436 (=> @t2139 (= (tptp.hAPP @t2047 @t1862) @t1046)))) % 6.34/6.55 (assume @p1663 (= @t2029 (tptp.hAPP @t2024 tptp.c_Int_OPls))) % 6.34/6.55 (assume @p1664 (forall @t401 (=> @t2035 (= @t2143 (and (=> @t866 @t2142) (=> @t2112 (and (=> @t862 @t2141) (=> @t2111 @t1025)))))))) % 6.34/6.55 (assume @p1665 (forall @t2080 (=> @t2035 (= @t2145 (and (=> @t866 @t2141) (=> @t2112 (and (=> @t862 @t2142) (=> @t2111 @t1026)))))))) % 6.34/6.55 (assume @p1666 (forall @t514 (=> @t2106 (=> @t866 (= @t2143 @t2142))))) % 6.34/6.55 (assume @p1667 (forall @t2083 (=> @t2106 (=> @t866 (= @t2145 @t2141))))) % 6.34/6.55 (assume @p1668 (forall @t1197 (=> @t2061 (=> @t2067 (=> (tptp.hBOOL (tptp.hAPP @t995 @t2109)) (tptp.hBOOL (tptp.hAPP @t2090 @t317))))))) % 6.34/6.55 (assume @p1669 (forall @t2110 (=> @t2061 (=> @t2067 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2109) @t136)) (tptp.hBOOL (tptp.hAPP @t1200 @t2048))))))) % 6.34/6.55 (assume @p1670 (forall @t514 (=> @t2106 (=> @t862 (= @t2143 @t2141))))) % 6.34/6.55 (assume @p1671 (forall @t2083 (=> @t2106 (=> @t862 (= @t2145 @t2142))))) % 6.34/6.55 (assume @p1672 (forall @t410 (=> @t2061 (=> @t1017 (=> @t1018 @t2146))))) % 6.34/6.55 (assume @p1673 (forall @t396 (=> @t1472 (=> @t958 (=> @t1040 @t2146))))) % 6.34/6.55 (assume @p1674 (forall @t2137 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2130) @t140)) (and (=> @t2150 @t2152) (=> @t2151 (and (=> @t2147 @t2149) (=> @t2148 @t589)))))))) % 6.34/6.55 (assume @p1675 (forall @t2136 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t2104 @t1628)) (and (=> @t866 @t2155) (=> @t2112 (and (=> @t862 @t2154) (=> @t2111 @t2150)))))))) % 6.34/6.55 (assume @p1676 (forall @t2135 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t1686 @t2075)) (and (=> @t866 @t2154) (=> @t2112 (and (=> @t862 @t2155) (=> @t2111 @t2147)))))))) % 6.34/6.55 (assume @p1677 (forall @t2132 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t508 @t2130)) (and (=> @t2150 @t2149) (=> @t2151 (and (=> @t2147 @t2152) (=> @t2148 @t585)))))))) % 6.34/6.55 (assume @p1678 (forall (@list @t264 @t10 @t278 @t35) (=> @t2086 (=> @t801 (=> @t1140 (= (tptp.hAPP @t1735 @t1461) (tptp.hAPP (tptp.hAPP @t2037 @t1742) @t1736))))))) % 6.34/6.55 (assume @p1679 (forall @t436 (=> @t2139 (= (tptp.hAPP (tptp.hAPP @t2037 @t1862) @t136) (tptp.hAPP @t721 (tptp.hAPP @t2087 @t136)))))) % 6.34/6.55 (assume @p1680 (tptp.c_Nat__Transfer_Ois__nat @t1947)) % 6.34/6.55 (assume @p1681 (forall @t2132 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t953 @t2130)) (and (=> @t2150 @t2157) (=> @t2151 (and (=> @t2147 @t2156) (=> @t2148 @t1025)))))))) % 6.34/6.55 (assume @p1682 (forall @t2135 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t2158 @t2075)) (and (=> @t866 @t2160) (=> @t2112 (and (=> @t862 @t2159) (=> @t2111 (tptp.hBOOL (tptp.hAPP @t2158 @t352)))))))))) % 6.34/6.55 (assume @p1683 (forall @t2136 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP @t2144 @t1628)) (and (=> @t866 @t2159) (=> @t2112 (and (=> @t862 @t2160) (=> @t2111 (tptp.hBOOL (tptp.hAPP @t1003 @t1628)))))))))) % 6.34/6.55 (assume @p1684 (forall @t2137 (=> @t2153 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2130) @t140)) (and (=> @t2150 @t2156) (=> @t2151 (and (=> @t2147 @t2157) (=> @t2148 @t1026)))))))) % 6.34/6.55 (assume @p1685 (forall @t895 (and (=> @t2163 (= @t2162 @t10)) (=> (not @t2163) (= @t2162 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2161 @t2032) @t36)))))) % 6.34/6.55 (assume @p1686 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2029) @t214)) % 6.34/6.55 (assume @p1687 (= (tptp.hAPP @t2164 @t2029) @t214)) % 6.34/6.55 (assume @p1688 (forall @t280 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t30 @t37 @t44 @t2029) @t37))) % 6.34/6.55 (assume @p1689 (forall (@list @t544 @t389) (and (=> @t2170 (= @t2166 @t2032)) (=> (not @t2170) (= @t2166 (tptp.hAPP (tptp.hAPP @t2165 @t2032) (tptp.c_Random_Olog @t389 (tptp.hAPP (tptp.hAPP @t2026 @t544) @t389)))))))) % 6.34/6.55 (assume @p1690 (forall @t658 (=> @t2061 (=> (forall (@list @t2171) (=> (tptp.hBOOL (tptp.hAPP @t580 @t2171)) (tptp.hBOOL (tptp.hAPP @t995 (tptp.hAPP @t828 @t2171))))) @t1185)))) % 6.34/6.55 (assume @p1691 (forall (@list @t876 @t558 @t322) (and (=> @t2173 (= @t2172 (tptp.hAPP (tptp.hAPP @t2040 (tptp.hAPP (tptp.hAPP @t2165 @t876) @t322)) @t558))) (=> @t2174 (= @t2172 (tptp.hAPP (tptp.hAPP @t2040 @t322) @t558)))))) % 6.34/6.55 (assume @p1692 (forall (@list @t322 @t990) (and (=> @t2176 (= @t2175 @t2032)) (=> (not @t2176) (= @t2175 (tptp.hAPP (tptp.hAPP @t2165 @t322) @t2032)))))) % 6.34/6.55 (assume @p1693 (forall @t2179 (= (tptp.hAPP @t2164 @t2178) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t2164 @t2177)) @t300)))) % 6.34/6.55 (assume @p1694 (forall @t2179 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2178) (tptp.hAPP (tptp.hAPP @t301 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2177)) @t300)))) % 6.34/6.55 (assume @p1695 (forall @t502 (= @t2180 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t10) @t264)))) % 6.34/6.55 (assume @p1696 (forall (@list @t2181 @t2182) (= (= @t2183 (tptp.c_Code__Numeral_OSuc__code__numeral @t2181)) (= @t2182 @t2181)))) % 6.34/6.55 (assume @p1697 (forall (@list @t2184) (not (= @t2029 (tptp.c_Code__Numeral_OSuc__code__numeral @t2184))))) % 6.34/6.55 (assume @p1698 (forall (@list @t2185) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2185) @t2029)))) % 6.34/6.55 (assume @p1699 (forall @t2187 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t30 @t37 @t44 @t2183) @t2186))) % 6.34/6.55 (assume @p1700 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t2040 (tptp.c_Code__Numeral_OSuc__code__numeral @t10)) @t2032) @t10))) % 6.34/6.55 (assume @p1701 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t2040)) % 6.34/6.55 (assume @p1702 (forall @t928 (=> @t2195 (and (=> @t2192 (= @t2190 (tptp.hAPP @t2194 @t2191))) (=> (not @t2192) (= @t2190 (tptp.hAPP @t2189 (tptp.c_Divides_OnegDivAlg @t901 @t2188)))))))) % 6.34/6.55 (assume @p1703 (forall (@list @t1684 @t1832) (and (=> @t2203 (= @t2202 @t1837)) (=> (not @t2203) (= @t2202 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t1635 (tptp.hAPP (tptp.hAPP @t626 @t1684) (tptp.hAPP @t713 @t1832)))) @t2200)))))) % 6.34/6.55 (assume @p1704 (forall @t2187 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t30 @t37 @t44 @t2183) (tptp.hAPP @t2186 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t30 @t37 @t44 @t2182))))) % 6.34/6.55 (assume @p1705 (forall @t502 (=> @t530 (=> @t1140 (= @t2205 (tptp.hAPP (tptp.hAPP @t2204 @t1462) @t1504)))))) % 6.34/6.55 (assume @p1706 (forall @t1094 (= (not (= @t178 @t2206)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2169 @t2032) @t178))))) % 6.34/6.55 (assume @p1707 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 6.34/6.55 (assume @p1708 (forall @t541 (= (= @t2208 @t2207) @t538))) % 6.34/6.55 (assume @p1709 (forall @t266 (= (tptp.c_Divides_Odivmod__nat @t264 @t214) @t2210))) % 6.34/6.55 (assume @p1710 (forall @t341 (= @t1170 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t935 @t23))))) % 6.34/6.55 (assume @p1711 (forall @t316 (=> @t492 (= @t2205 @t2210)))) % 6.34/6.55 (assume @p1712 (forall @t533 (= @t494 @t1150))) % 6.34/6.55 (assume @p1713 (forall @t341 (= (tptp.hAPP @t1512 @t109) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t214 @t2211 @t1544)))) % 6.34/6.55 (assume @p1714 (forall @t1931 (= @t2216 (tptp.hAPP @t2215 @t2213)))) % 6.34/6.55 (assume @p1715 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t2219 @t2218) @t2217) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t918)))) % 6.34/6.55 (assume @p1716 (forall @t316 (= @t2205 @t2220))) % 6.34/6.55 (assume @p1717 (forall (@list @t625 @t628 @t30) (=> @t1626 (= (tptp.hAPP @t2224 @t2216) (tptp.hAPP @t2226 @t2223))))) % 6.34/6.55 (assume @p1718 (forall @t887 (= (tptp.hAPP @t2229 @t2216) (tptp.hAPP @t2230 (tptp.hAPP (tptp.hAPP @t2228 @t710) @t2227))))) % 6.34/6.55 (assume @p1719 (forall @t1687 (=> @t1626 (= (tptp.hAPP @t2231 @t2216) (tptp.hAPP @t2232 @t2223))))) % 6.34/6.55 (assume @p1720 (forall (@list @t628 @t1063) (and (=> @t2234 (= @t2233 @t719)) (=> (not @t2234) (= @t2233 (tptp.hAPP (tptp.hAPP @t2201 (tptp.hAPP @t1582 @t1063)) @t2200)))))) % 6.34/6.55 (assume @p1721 (forall @t1315 (=> @t784 (=> (tptp.hBOOL (tptp.hAPP @t637 @t558)) (= (tptp.c_Divides_OnegDivAlg @t322 @t558) @t2235))))) % 6.34/6.55 (assume @p1722 (forall @t1284 (= (tptp.c_Divides_OnegDivAlg @t1850 @t389) (tptp.hAPP @t2194 @t1849)))) % 6.34/6.55 (assume @p1723 (forall @t619 (=> @t180 (= @t617 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t30 (tptp.hAPP (tptp.hAPP @t2236 @t354) @t926) @t23 @t352))))) % 6.34/6.55 (assume @p1724 (forall (@list @t2033 @t1449 @t64) (= (tptp.hAPP @t2245 @t2244) (tptp.hAPP (tptp.hAPP @t2243 (tptp.hAPP (tptp.hAPP @t1454 @t2033) @t64)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2238 @t2238) (tptp.hAPP (tptp.hAPP @t2242 (tptp.hAPP @t2241 @t898)) (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t626 @t2237) @t901)))) (tptp.hAPP (tptp.hAPP @t2193 @t2237) @t2033)))))) % 6.34/6.55 (assume @p1725 (= @t2029 @t2206)) % 6.34/6.55 (assume @p1726 (= @t2032 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t933))) % 6.34/6.55 (assume @p1727 (forall @t541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2167 @t2208) @t2207)) @t495))) % 6.34/6.55 (assume @p1728 (forall @t2259 (= (= @t109 @t1837) @t2258))) % 6.34/6.55 (assume @p1729 (forall @t2260 (= (= @t1837 @t109) @t2258))) % 6.34/6.55 (assume @p1730 (forall @t2273 (= (tptp.c_Nat_Onat_Onat__case @t30 @t140 @t2 @t1837) (tptp.hAPP @t2272 (tptp.hAPP @t2270 @t2263))))) % 6.34/6.55 (assume @p1731 (forall @t2273 (= (tptp.hAPP @t2274 @t1837) (tptp.hAPP @t2272 (tptp.hAPP @t2270 (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP @t2276 tptp.c_Int_Onat)) (tptp.hAPP @t2275 tptp.c_Int_Onat))))))) % 6.34/6.55 (assume @p1732 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t2165 @t2218) @t2217) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t313)))) % 6.34/6.55 (assume @p1733 (forall @t541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2169 @t2208) @t2207)) @t1149))) % 6.34/6.55 (assume @p1734 (forall @t1931 (and (=> @t1937 (= @t2279 @t214)) (=> (not @t1937) (= @t2279 (tptp.hAPP @t2215 (tptp.hAPP @t2278 @t2213))))))) % 6.34/6.55 (assume @p1735 (forall @t2259 (= (tptp.hBOOL (tptp.hAPP @t2281 @t1837)) (tptp.hBOOL (tptp.hAPP @t2257 (tptp.hAPP @t2256 (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t2280 @t494) tptp.c_Int_Onat)))))))) % 6.34/6.55 (assume @p1736 (forall @t2260 (= (tptp.hBOOL (tptp.hAPP @t1894 @t109)) (tptp.hBOOL (tptp.hAPP @t2257 (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t2248 (tptp.hAPP (tptp.hAPP @t2247 @t474) tptp.c_Int_Onat)) @t23))))))) % 6.34/6.55 (assume @p1737 (forall @t2260 (= (tptp.hBOOL (tptp.hAPP @t1895 @t109)) (tptp.hBOOL (tptp.hAPP @t2257 (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t2248 (tptp.hAPP (tptp.hAPP @t2247 @t934) tptp.c_Int_Onat)) @t23))))))) % 6.34/6.55 (assume @p1738 (forall @t2259 (= (tptp.hBOOL (tptp.hAPP @t1150 @t1837)) (tptp.hBOOL (tptp.hAPP @t2257 (tptp.hAPP @t2256 (tptp.hAPP @t2254 (tptp.hAPP (tptp.hAPP @t2280 @t1146) tptp.c_Int_Onat)))))))) % 6.34/6.55 (assume @p1739 (forall @t502 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t2218) @t2217) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1495)))) % 6.34/6.55 (assume @p1740 (forall @t2286 (= (tptp.c_Nat_Onat_Onat__case @t30 @t140 @t2 @t2285) (tptp.hAPP @t2272 (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP @t2268 (tptp.c_Nat_Onat_Onat__case @t30 @t140 @t2 @t23))) (tptp.hAPP @t2262 @t2284)))))) % 6.34/6.55 (assume @p1741 (forall @t2286 (= (tptp.hAPP @t2274 @t2285) (tptp.hAPP @t2272 (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP @t2268 (tptp.hAPP @t2274 @t23))) (tptp.hAPP (tptp.hAPP @t2269 (tptp.hAPP @t2276 @t2284)) (tptp.hAPP @t2275 @t2284))))))) % 6.34/6.55 (assume @p1742 (forall @t758 (=> @t1626 (and (=> @t2288 (= @t2287 (tptp.hAPP @t2226 (tptp.hAPP (tptp.hAPP @t2222 (tptp.hAPP @t2292 @t2290)) @t2221)))) (=> @t2289 (= @t2287 @t926)))))) % 6.34/6.55 (assume @p1743 (forall @t632 (and (=> @t2288 (= @t2293 (tptp.hAPP @t2230 (tptp.hAPP (tptp.hAPP @t2228 (tptp.hAPP (tptp.hAPP @t2295 @t710) (tptp.hAPP @t710 @t628))) @t2227)))) (=> @t2289 (= @t2293 @t901))))) % 6.34/6.55 (assume @p1744 (forall @t1295 (and (=> @t2301 @t2302) (=> (not @t2301) @t2298)))) % 6.34/6.55 (assume @p1745 (forall (@list @t1684 @t625 @t30) (=> @t1626 (and (=> @t2288 (= @t2303 (tptp.hAPP @t2232 (tptp.hAPP (tptp.hAPP @t2222 (tptp.hAPP @t2292 (tptp.hAPP @t776 @t1685))) @t2221)))) (=> @t2289 (= @t2303 @t926)))))) % 6.34/6.55 (assume @p1746 (forall @t280 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t30 @t37 @t44 @t2029) @t37))) % 6.34/6.55 (assume @p1747 (forall @t1763 (=> @t2309 (and (=> @t2308 (= @t2306 (tptp.hAPP @t2194 @t2307))) (=> (not @t2308) (= @t2306 (tptp.hAPP @t2305 (tptp.c_Divides_OnegDivAlg @t1761 @t2304)))))))) % 6.34/6.55 (assume @p1748 (forall @t1305 (=> @t1307 (and (=> @t2300 @t2302) (=> (not @t2300) @t2298))))) % 6.34/6.55 (assume @p1749 (forall @t1399 @t2317)) % 6.34/6.55 (assume @p1750 (forall @t928 (=> @t2195 (and (=> @t2319 (= @t2318 @t2315)) (=> (not @t2319) (= @t2318 (tptp.hAPP @t2189 (tptp.c_Divides_OposDivAlg @t901 @t2188)))))))) % 6.34/6.55 (assume @p1751 (forall @t1295 (and (=> @t2322 @t2323) (=> (not @t2322) @t2321)))) % 6.34/6.55 (assume @p1752 (forall (@list @t64) (= @t2245 (tptp.hAPP @t2333 (tptp.hAPP (tptp.hAPP @t2332 (tptp.hAPP @t2331 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2310 @t2330 tptp.tc_Int_Oint) (tptp.hAPP @t2242 (tptp.hAPP @t2241 (tptp.hAPP (tptp.hAPP @t2329 @t898) @t2325)))) (tptp.hAPP (tptp.hAPP @t2328 (tptp.hAPP @t2327 (tptp.hAPP @t2311 (tptp.hAPP (tptp.hAPP @t2324 (tptp.hAPP @t2326 @t1954)) @t901)))) @t2325)))) (tptp.hAPP @t2311 @t1954)))))) % 6.34/6.55 (assume @p1753 (forall @t1763 (=> @t2309 (and (=> @t2336 (= @t2334 (tptp.hAPP @t2314 @t1761))) (=> (not @t2336) (= @t2334 (tptp.hAPP @t2305 (tptp.c_Divides_OposDivAlg @t1761 @t2304)))))))) % 6.34/6.55 (assume @p1754 (forall @t1284 (= (tptp.c_Divides_OposDivAlg @t636 @t389) @t2337))) % 6.34/6.55 (assume @p1755 (forall @t1315 (=> (tptp.hBOOL (tptp.hAPP @t898 @t322)) (=> @t1343 (= (tptp.c_Divides_OposDivAlg @t322 @t558) @t2235))))) % 6.34/6.55 (assume @p1756 (forall @t1305 (=> @t1307 (and (=> @t1322 @t2323) (=> (not @t1322) @t2321))))) % 6.34/6.55 (assume @p1757 (forall @t2347 (=> @t2346 (and (=> @t1338 (= @t2344 @t352)) (=> @t2345 (and (=> @t1335 (= @t2344 (tptp.hAPP @t740 (tptp.hAPP @t705 (tptp.hAPP @t713 @t327))))) (=> (not @t1335) (= @t2344 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2343 @t2342) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2341 (tptp.tc_fun @t2343 @t2342) tptp.tc_Int_Oint) (tptp.c_COMBB @t2265 @t30 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2341 tptp.tc_Int_Oint) @t2225) @t705))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2265 @t2265) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2266 (tptp.tc_fun @t2265 @t2265) tptp.tc_Int_Oint) @t2222) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2265 @t2266) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2266 (tptp.tc_fun @t2265 @t2266) tptp.tc_Int_Oint) @t2291) (tptp.hAPP @t2267 @t2340))) @t2338))) (tptp.hAPP (tptp.hAPP @t2236 (tptp.hAPP (tptp.hAPP @t2291 @t354) @t2338)) @t926)))) (tptp.c_Divides_Odivmod__int @t327 @t1953)))))))))) % 6.34/6.55 (assume @p1758 (forall (@list @t25) (= (tptp.c_Hoare__Mirabelle_OMGT @t25) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) tptp.c_fequal) @t25) @t245)))) % 6.34/6.55 (assume @p1759 (forall @t2351 (=> (tptp.hBOOL (tptp.hAPP @t2350 @t2349)) (=> @t1446 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1370 @t111) (tptp.hAPP (tptp.hAPP @t2204 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t1369 @t1105)) (tptp.hAPP (tptp.hAPP @t1357 @t2348) @t111))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2348 @t111)))))))) % 6.34/6.55 (assume @p1760 (forall @t2352 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t278 @t389) @t2349)) (=> (tptp.hBOOL (tptp.hAPP @t475 @t389)) (=> @t1446 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t278 @t1368) (tptp.hAPP (tptp.hAPP @t2204 (tptp.hAPP (tptp.hAPP @t1357 @t1105) @t111)) @t1445)))))))) % 6.34/6.55 (assume @p1761 (forall @t1426 (=> (tptp.hBOOL (tptp.hAPP @t2360 @t2359)) (and (=> @t2358 (= @t2354 (tptp.hAPP @t2194 @t2357))) (=> (not @t2358) (= @t2354 (tptp.hAPP @t2245 (tptp.c_Divides_OnegDivAlg @t140 @t2353)))))))) % 6.34/6.55 (assume @p1762 (forall (@list @t2361 @t2362 @t10 @t264) (=> @t2364 (=> (tptp.hBOOL (tptp.hAPP @t2363 @t2361)) (= @t2362 @t2361))))) % 6.34/6.55 (assume @p1763 (forall (@list @t140 @t64 @t2033 @t30) (=> (tptp.hBOOL (tptp.hAPP @t2365 @t64)) (=> @t2367 @t2366)))) % 6.34/6.55 (assume @p1764 (forall @t2368 (= @t2366 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2033 @t4) @t140)) (tptp.hBOOL (tptp.hAPP @t2365 @t4))))))) % 6.34/6.55 (assume @p1765 (forall @t2375 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2374 @t2369) @t2370)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.c_Wellfounded_Oaccp @t30 @t2370)) (tptp.c_Wellfounded_Oaccp @t30 @t2369)))))) % 6.34/6.55 (assume @p1766 (forall (@list @t2362 @t10 @t264) (=> @t2364 (= @t2205 @t2362)))) % 6.34/6.55 (assume @p1767 (forall @t316 (tptp.hBOOL (tptp.hAPP @t2363 @t2205)))) % 6.34/6.55 (assume @p1768 (forall @t2377 (=> @t2376 (= @t1374 @t876)))) % 6.34/6.55 (assume @p1769 (forall @t2377 (=> @t2376 (= @t1373 @t1105)))) % 6.34/6.55 (assume @p1770 (forall @t316 (tptp.hBOOL (tptp.hAPP @t2363 @t2220)))) % 6.34/6.55 (assume @p1771 (forall (@list @t1105 @t1658) (= (tptp.c_Divides_Odivmod__int @t1658 @t1105) (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t1347 @t1658) @t1105)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1658 @t1105))))) % 6.34/6.56 (assume @p1772 (forall @t2383 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t278 @t111) (tptp.hAPP (tptp.hAPP @t2204 @t2382) @t2379))) (=> (tptp.hBOOL (tptp.hAPP @t2350 (tptp.hAPP (tptp.hAPP @t2204 @t2381) @t2378))) (=> @t1446 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1362 @t111) (tptp.hAPP (tptp.hAPP @t2204 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 @t2382) @t2381)) (tptp.hAPP (tptp.hAPP @t1357 @t2380) @t111))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2380 @t111))))))))) % 6.34/6.56 (assume @p1773 (forall @t1426 (=> (tptp.hBOOL (tptp.hAPP @t2386 @t2359)) (and (=> @t2385 (= @t2384 (tptp.hAPP @t2314 @t140))) (=> (not @t2385) (= @t2384 (tptp.hAPP @t2245 (tptp.c_Divides_OposDivAlg @t140 @t2353)))))))) % 6.34/6.56 (assume @p1774 (forall @t1426 (=> (tptp.hBOOL (tptp.hAPP @t2387 @t2359)) @t2317))) % 6.34/6.56 (assume @p1775 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t2391 (tptp.hAPP (tptp.hAPP @t2390 (tptp.hAPP @t2253 (tptp.hAPP @t2255 @t637))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2389 @t2389 tptp.tc_Int_Oint) @t2339) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2294 @t2389 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2388 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t901))))) % 6.34/6.56 (assume @p1776 (forall @t1295 (and (=> @t1323 (and (=> @t2396 (= @t2393 @t2320)) (=> (not @t2396) (and (=> @t1403 (= @t2393 @t2337)) (=> @t1404 (= @t2393 @t2395)))))) (=> (not @t1323) (and (=> @t1307 (= @t2393 @t2297)) (=> @t2394 (= @t2393 @t2392))))))) % 6.34/6.56 (assume @p1777 (forall @t2408 (=> (tptp.hBOOL (tptp.hAPP @t2360 @t2407)) (=> (forall @t2406 (=> (tptp.hBOOL (tptp.hAPP @t2360 @t2405)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t898 (tptp.hAPP (tptp.hAPP @t626 @t472) @t2400))) @t2404)) @t2403) @t2402))) @t2399)))) % 6.34/6.56 (assume @p1778 (forall (@list @t876 @t1105) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t2410) (tptp.hAPP @t2409 (tptp.hAPP @t713 @t876))))) % 6.34/6.56 (assume @p1779 (forall (@list @t127 @t30 @t64 @t140 @t2) (=> @t2418 @t2415))) % 6.34/6.56 (assume @p1780 (forall (@list @t127 @t30 @t64 @t140 @t37) (=> (tptp.hBOOL @t464) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2414 @t37) @t2413))))) % 6.34/6.56 (assume @p1781 (forall @t2408 (=> (tptp.hBOOL (tptp.hAPP @t2386 @t2407)) (=> (forall @t2406 (=> (tptp.hBOOL (tptp.hAPP @t2386 @t2405)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t472) @t2400)) @t2404)) @t2403) @t2402))) @t2399)))) % 6.34/6.56 (assume @p1782 (forall @t700 (=> (tptp.hBOOL (tptp.hAPP @t2423 @t2421)) (and (=> @t2420 (= @t2419 @t378)) (=> (not @t2420) (= @t2419 (tptp.c_Nitpick_Onat__gcd @t696 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t378 @t696)))))))) % 6.34/6.56 (assume @p1783 (forall @t1541 (and @t2432 (=> @t2345 (and @t2431 (=> @t2430 (= @t2428 (tptp.hAPP @t2427 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2239 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t637 @t1539)) @t1466)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t629 @t1539) @t636)) @t1334))) @t2424) @t2425))))))))) % 6.34/6.56 (assume @p1784 (forall (@list @t696 @t378 @t2 @t30 @t127 @t465) (= (tptp.hAPP @t2437 @t2436) (tptp.hAPP @t2434 @t2433)))) % 6.34/6.56 (assume @p1785 (forall (@list @t127 @t30 @t27) (= @t1073 (forall @t2406 (tptp.hBOOL (tptp.hAPP @t27 @t2438)))))) % 6.34/6.56 (assume @p1786 (forall @t461 (= (= @t2413 @t2439) @t460))) % 6.34/6.56 (assume @p1787 (forall (@list @t608 @t441 @t389 @t278 @t30 @t35) (=> (= @t2441 (tptp.hAPP (tptp.hAPP @t2440 @t441) @t608)) (not (=> (= @t278 @t441) (not (= @t389 @t608))))))) % 6.34/6.56 (assume @p1788 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t713))) % 6.34/6.56 (assume @p1789 (forall (@list @t25 @t465 @t127 @t30 @t1449 @t1615) (=> (= @t1615 @t1449) (= (tptp.hAPP @t2443 @t1615) (tptp.hAPP @t2443 @t1449))))) % 6.34/6.56 (assume @p1790 (forall @t467 (= (tptp.hAPP (tptp.hAPP @t2446 @t37) @t2445) @t464))) % 6.34/6.56 (assume @p1791 (forall @t2448 (= (tptp.hAPP @t2447 @t2445) @t2417))) % 6.34/6.56 (assume @p1792 (forall @t2449 (=> @t2415 @t2418))) % 6.34/6.56 (assume @p1793 (forall @t2453 (= (tptp.hAPP @t2442 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 @t2451 @t30) (tptp.hAPP (tptp.c_COMBB @t2450 @t465 @t127) @t2)) @t2411)) @t2))) % 6.34/6.56 (assume @p1794 (forall (@list @t1615 @t1 @t2454 @t2456 @t2 @t30 @t465 @t127) (= (tptp.hAPP @t2447 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2456 @t2454 @t2455) @t1) @t1615)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2456 @t2454 @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2454 @t2455) (tptp.tc_fun @t2454 @t30) @t2456) (tptp.hAPP (tptp.c_COMBB @t2455 @t30 @t2454) @t2447)) @t1)) @t1615)))) % 6.34/6.56 (assume @p1795 (forall @t1315 (= @t2459 (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t1347 @t2458) @t2457)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2458 @t2457))))) % 6.34/6.56 (assume @p1796 (forall @t1345 (and (=> @t2460 (= @t2459 (tptp.hAPP @t2314 @t2458))) (=> (not @t2460) (= @t2459 (tptp.c_Divides_OposDivAlg @t2458 @t2457)))))) % 6.34/6.56 (assume @p1797 (forall @t1541 (and @t2432 (=> @t2345 (and @t2431 (=> @t2430 (= @t2428 (tptp.hAPP @t2427 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2239 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t327)) @t2426)) @t2424) @t2425))))))))) % 6.34/6.56 (assume @p1798 (forall @t502 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t10 @t264) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t2462) @t2461)))) % 6.34/6.56 (assume @p1799 (forall @t2352 (=> @t2464 (=> @t1458 (=> @t1265 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t278 @t1267) (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t1347 @t1105) @t111)) @t1264)))))))) % 6.34/6.56 (assume @p1800 (forall @t928 (=> @t2468 (= @t2467 (tptp.hAPP @t2466 @t2465))))) % 6.34/6.56 (assume @p1801 (forall @t1426 (= @t2473 (tptp.hAPP @t2391 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2388 @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2471 @t2472 tptp.tc_Int_Oint) @t2253) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2388 @t2471 tptp.tc_Int_Oint) @t2255) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2294 @t2388 tptp.tc_Int_Oint) (tptp.hAPP @t2329 @t2470)) (tptp.hAPP @t2326 (tptp.hAPP @t710 @t64)))))) (tptp.hAPP (tptp.hAPP @t2253 (tptp.hAPP @t2255 (tptp.hAPP (tptp.hAPP @t2249 (tptp.hAPP tptp.c_fimplies @t1397)) (tptp.hAPP @t2469 (tptp.hAPP (tptp.hAPP @t2339 @t629) @t64))))) (tptp.hAPP (tptp.hAPP @t2249 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t1397))) (tptp.hAPP (tptp.hAPP @t2253 (tptp.hAPP @t2255 @t1400)) (tptp.hAPP (tptp.hAPP @t2339 @t897) @t636))))))))) % 6.34/6.56 (assume @p1802 (forall @t2408 (=> (tptp.hBOOL (tptp.hAPP @t2387 @t2407)) (=> (forall @t2406 (=> (tptp.hBOOL (tptp.hAPP @t2387 @t2405)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t2400) @t636)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 (tptp.hAPP @t713 @t472)) (tptp.hAPP @t713 @t2400)))) @t2402))) @t2399)))) % 6.34/6.56 (assume @p1803 (forall (@list @t25 @t64 @t140 @t2474 @t465 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2476 @t2474) @t2413) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2474 @t140) @t64) @t25))))) % 6.34/6.56 (assume @p1804 (forall (@list @t389 @t278 @t35 @t30) (= (tptp.hAPP @t2478 (tptp.hAPP (tptp.hAPP @t2477 @t278) @t389)) @t389))) % 6.34/6.56 (assume @p1805 (forall (@list @t278 @t135 @t136 @t35 @t30) (=> (= (tptp.hAPP @t2478 (tptp.hAPP (tptp.hAPP @t2477 @t136) @t135)) @t278) (= @t135 @t278)))) % 6.34/6.56 (assume @p1806 (forall (@list @t1 @t378 @t2 @t30 @t127 @t465) (= (= @t2480 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t465 @t127 @t30 @t1) @t378)) (= (tptp.hAPP @t2 @t2479) (tptp.hAPP @t1 @t2479))))) % 6.34/6.56 (assume @p1807 (forall @t669 (= (tptp.hAPP @t2483 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t465 @t30 @t127 @t2) @t378)) (tptp.hAPP @t2 @t2482)))) % 6.34/6.56 (assume @p1808 (forall (@list @t1615 @t30 @t127) (= @t2484 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t30 @t30) (tptp.hAPP (tptp.c_COMBK @t2265 @t127) @t2221)) @t1615)))) % 6.34/6.56 (assume @p1809 (forall @t1295 (= @t1292 (tptp.hAPP @t2466 @t2393)))) % 6.34/6.56 (assume @p1810 (forall @t1284 (=> @t1458 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t636 @t389) @t2337))))) % 6.34/6.56 (assume @p1811 (forall @t2486 (=> @t2485 (=> @t1404 (= @t876 @t636))))) % 6.34/6.56 (assume @p1812 (forall @t2488 (=> @t2464 (=> @t2487 (=> @t1458 (= @t1105 @t1114)))))) % 6.34/6.56 (assume @p1813 (forall @t2488 (=> @t2464 (=> @t2487 (=> @t1458 (= @t876 @t1119)))))) % 6.34/6.56 (assume @p1814 (forall (@list @t2362 @t389 @t278) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1294 @t1293) @t2362)) (tptp.hBOOL (tptp.hAPP @t2463 (tptp.hAPP tptp.c_Divides_OnegateSnd @t2362)))))) % 6.34/6.56 (assume @p1815 (forall @t1305 (=> @t1458 (tptp.hBOOL (tptp.hAPP @t2463 @t2393))))) % 6.34/6.56 (assume @p1816 (forall @t2486 (=> @t2485 (=> @t1404 (= @t1105 @t901))))) % 6.34/6.56 (assume @p1817 (forall @t2489 (=> @t2464 (=> @t1458 (= @t1292 @t876))))) % 6.34/6.56 (assume @p1818 (forall @t2489 (=> @t2464 (=> @t1458 (= @t1352 @t1105))))) % 6.34/6.56 (assume @p1819 (forall @t1295 (=> @t1402 (=> @t1307 (tptp.hBOOL (tptp.hAPP @t2463 @t2297)))))) % 6.34/6.56 (assume @p1820 (forall @t1295 (=> @t1402 (=> @t1307 (= @t1292 (tptp.hAPP @t2466 @t2297)))))) % 6.34/6.56 (assume @p1821 (forall @t1305 (=> @t1458 (tptp.hBOOL (tptp.hAPP @t2463 (tptp.hAPP (tptp.hAPP @t2193 @t1352) @t1292)))))) % 6.34/6.56 (assume @p1822 (forall @t1295 (=> @t1323 (=> @t1307 (tptp.hBOOL (tptp.hAPP @t2463 @t2320)))))) % 6.34/6.56 (assume @p1823 (forall @t1295 (=> @t1110 (=> @t2396 (= @t1292 (tptp.hAPP @t2466 @t2320)))))) % 6.34/6.56 (assume @p1824 (forall @t928 (=> @t1959 (= @t2467 (tptp.hAPP @t2466 @t2318))))) % 6.34/6.56 (assume @p1825 (forall @t2383 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t278 @t111) (tptp.hAPP (tptp.hAPP @t2193 @t2382) @t2379))) (=> (tptp.hBOOL (tptp.hAPP @t2492 (tptp.hAPP (tptp.hAPP @t2193 @t2381) @t2378))) (=> @t2491 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1326 @t111) (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP (tptp.hAPP @t626 @t2382) @t2381)) (tptp.hAPP (tptp.hAPP @t1347 @t2490) @t111))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2490 @t111))))))))) % 6.34/6.56 (assume @p1826 (forall (@list @t2033 @t1449 @t64 @t140) (=> (tptp.hBOOL (tptp.hAPP @t2473 @t2244)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2316 @t64) (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t2493 @t2494) (tptp.hAPP (tptp.hAPP @t1454 @t2494) @t901))) (tptp.hAPP (tptp.hAPP @t2493 @t636) (tptp.hAPP (tptp.hAPP @t1454 @t64) @t2033)))))))) % 6.34/6.56 (assume @p1827 (forall @t1295 (=> @t1110 (=> @t1304 (= @t1292 (tptp.hAPP @t2466 @t2395)))))) % 6.34/6.56 (assume @p1828 (forall @t541 (and (=> @t2497 (= @t2496 (tptp.hAPP @t2209 @t325))) (=> (not @t2497) (= @t2496 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2422) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2495 tptp.tc_Nat_Onat) @t2204) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1544 @t23))))))) % 6.34/6.56 (assume @p1829 (forall @t2489 (=> (= @t278 @t1125) (=> (and (=> @t1307 (and @t1113 @t1121)) (=> @t2394 (and @t1130 @t1131))) @t2464)))) % 6.34/6.56 (assume @p1830 (forall @t1295 (=> @t1402 (=> @t2299 (= @t1292 (tptp.hAPP @t2466 @t2392)))))) % 6.34/6.56 (assume @p1831 (forall @t2351 (=> (tptp.hBOOL (tptp.hAPP @t2492 @t2410)) (=> @t2491 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1285 @t111) (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t626 @t1108) (tptp.hAPP (tptp.hAPP @t1347 @t2498) @t111))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2498 @t111)))))))) % 6.34/6.56 (assume @p1832 (forall @t2504 (=> @t2503 (=> @t2501 @t2499)))) % 6.34/6.56 (assume @p1833 (forall @t928 (=> @t2468 (= @t2506 (tptp.hAPP @t2505 @t2465))))) % 6.34/6.56 (assume @p1834 (forall @t2408 (=> (tptp.hBOOL (tptp.hAPP @t2423 (tptp.hAPP (tptp.hAPP @t2204 @t2397) @t84))) (=> (forall @t2509 (=> (tptp.hBOOL (tptp.hAPP @t2423 @t2508)) (=> (=> (not (= @t412 @t214)) (tptp.hBOOL (tptp.hAPP @t2507 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4 @t412)))) (tptp.hBOOL (tptp.hAPP @t1058 @t412))))) @t2399)))) % 6.34/6.56 (assume @p1835 (forall @t1295 (=> @t1402 (=> @t2299 (= @t1352 (tptp.hAPP @t2505 @t2392)))))) % 6.34/6.56 (assume @p1836 (forall @t2259 (= (tptp.hAPP @t2515 @t1837) (tptp.hAPP @t2514 (tptp.hAPP @t2199 (tptp.hAPP @t2513 (tptp.hAPP (tptp.hAPP @t2512 @t2511) tptp.c_Int_Onat))))))) % 6.34/6.56 (assume @p1837 (forall @t658 (=> @t1211 (tptp.hBOOL (tptp.hAPP @t2519 @t136))))) % 6.34/6.56 (assume @p1838 (forall @t658 (=> @t1211 (tptp.hBOOL (tptp.hAPP @t2519 @t135))))) % 6.34/6.56 (assume @p1839 (forall @t875 (=> @t1228 (= @t1213 (= @t2522 @t378))))) % 6.34/6.56 (assume @p1840 (forall @t2525 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t2520 @t696) @t628))) @t2524)))) % 6.34/6.56 (assume @p1841 (forall @t2525 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2522) @t628)) (or @t2523 @t2526))))) % 6.34/6.56 (assume @p1842 (forall @t2532 (=> @t1211 (=> @t2531 @t2530)))) % 6.34/6.56 (assume @p1843 (forall @t2534 (=> @t1211 (=> @t2533 @t2530)))) % 6.34/6.56 (assume @p1844 (forall @t658 (=> @t1211 (=> @t1185 (= @t2518 @t136))))) % 6.34/6.56 (assume @p1845 (forall @t1221 (=> @t1211 (=> @t1195 (= @t2518 @t135))))) % 6.34/6.56 (assume @p1846 (forall @t2537 (=> @t1211 (=> @t996 (=> @t2536 @t2535))))) % 6.34/6.56 (assume @p1847 (forall @t830 (=> @t1211 (=> @t1185 (=> @t1220 (tptp.hBOOL (tptp.hAPP @t995 @t2539))))))) % 6.34/6.56 (assume @p1848 (forall @t1679 (=> @t1211 (=> @t1217 (=> @t2540 (tptp.hBOOL (tptp.hAPP @t2529 (tptp.hAPP (tptp.hAPP @t2516 @t111) @t384)))))))) % 6.34/6.56 (assume @p1849 (forall @t2537 (=> @t1211 (=> @t2535 @t2541)))) % 6.34/6.56 (assume @p1850 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t2510 @t214) @t10) @t214))) % 6.34/6.56 (assume @p1851 (forall @t131 (= (tptp.hAPP @t2542 @t214) @t214))) % 6.34/6.56 (assume @p1852 (forall @t830 (=> @t527 (= (tptp.hAPP (tptp.hAPP @t365 @t2518) @t317) (tptp.hAPP (tptp.hAPP @t2516 @t2543) @t829))))) % 6.34/6.56 (assume @p1853 (forall @t830 (=> @t978 (= (tptp.hAPP (tptp.hAPP @t1476 @t2518) @t317) (tptp.hAPP (tptp.hAPP @t2516 @t2545) @t2544))))) % 6.34/6.56 (assume @p1854 (forall @t830 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2516 @t2518) @t317) @t2546)))) % 6.34/6.56 (assume @p1855 (forall @t396 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2516 @t2528) @t111) @t2548)))) % 6.34/6.56 (assume @p1856 (forall @t830 (=> @t1211 (= @t2546 (tptp.hAPP @t2538 @t2549))))) % 6.34/6.56 (assume @p1857 (forall @t410 (=> @t1211 (= (tptp.hAPP @t2547 (tptp.hAPP @t2527 @t111)) @t2548)))) % 6.34/6.56 (assume @p1858 (forall @t658 (=> @t1211 (= (tptp.hAPP @t2517 @t2518) @t2518)))) % 6.34/6.56 (assume @p1859 (forall @t579 (=> @t1211 (= (tptp.hAPP @t2527 @t2528) @t2528)))) % 6.34/6.56 (assume @p1860 (forall @t658 (=> @t1211 (= @t2518 @t2550)))) % 6.34/6.56 (assume @p1861 (forall @t579 (=> @t1211 (= @t2528 (tptp.hAPP @t2547 @t278))))) % 6.34/6.56 (assume @p1862 (forall @t369 (=> @t1211 (= (tptp.hAPP @t2527 @t278) @t278)))) % 6.34/6.56 (assume @p1863 (forall @t2554 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP @t2551 @t2522)) (and @t2553 @t2552))))) % 6.34/6.56 (assume @p1864 (forall @t2525 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2522) @t628)) (or @t2556 @t2555))))) % 6.34/6.56 (assume @p1865 (forall @t2532 (=> @t1211 (=> @t2558 @t2557)))) % 6.34/6.56 (assume @p1866 (forall @t2534 (=> @t1211 (=> @t2559 @t2557)))) % 6.34/6.56 (assume @p1867 (forall @t316 (= (tptp.hAPP (tptp.hAPP @t2510 @t265) @t36) (tptp.hAPP tptp.c_Nat_OSuc @t2560)))) % 6.34/6.56 (assume @p1868 (forall (@list @t10 @t544 @t264) (= (tptp.hAPP (tptp.hAPP @t2510 (tptp.hAPP @t1460 @t544)) @t1517) (tptp.hAPP (tptp.hAPP @t1459 @t2560) @t544)))) % 6.34/6.56 (assume @p1869 (forall (@list @t278 @t135 @t136 @t30 @t35) (=> (= (tptp.hAPP @t2562 @t2561) @t278) (= @t136 @t278)))) % 6.34/6.56 (assume @p1870 (forall @t462 (= (tptp.hAPP @t2562 @t2441) @t278))) % 6.34/6.56 (assume @p1871 (forall (@list @t1105 @t1658 @t30 @t35) (=> (= @t2565 (tptp.hAPP @t2562 @t1105)) (=> (= @t2564 (tptp.hAPP @t2563 @t1105)) (= @t1658 @t1105))))) % 6.34/6.56 (assume @p1872 (forall (@list @t127 @t30 @t69 @t61) (= @t2568 (and (= (tptp.hAPP @t2567 @t61) (tptp.hAPP @t2567 @t69)) (= (tptp.hAPP @t2566 @t61) (tptp.hAPP @t2566 @t69)))))) % 6.34/6.56 (assume @p1873 (forall @t2569 (= (tptp.hAPP @t2567 @t2480) (tptp.hAPP (tptp.c_Product__Type_Ofst @t30 @t465) @t378)))) % 6.34/6.56 (assume @p1874 (forall (@list @t1615 @t127 @t30) (= @t2571 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t30) @t2570) @t1615)))) % 6.34/6.56 (assume @p1875 (forall @t2578 (=> @t2577 (and (=> @t2574 (= @t2573 @t2572)) (=> @t2575 (= @t2573 @t1688)))))) % 6.34/6.56 (assume @p1876 (forall (@list @t30 @t35 @t11) (= @t11 (tptp.hAPP (tptp.hAPP @t2440 (tptp.hAPP @t2562 @t11)) (tptp.hAPP @t2563 @t11))))) % 6.34/6.56 (assume @p1877 (forall (@list @t1658 @t30 @t35) (= (tptp.hAPP (tptp.hAPP @t2440 @t2565) @t2564) @t1658))) % 6.34/6.56 (assume @p1878 (forall (@list @t1615 @t2 @t30 @t465 @t127) (= (tptp.hAPP @t2447 @t1615) (tptp.hAPP (tptp.hAPP @t2 @t2581) @t2579)))) % 6.34/6.56 (assume @p1879 (forall @t1295 (= @t1352 (tptp.hAPP @t2505 @t2393)))) % 6.34/6.56 (assume @p1880 (forall @t316 (= @t1374 (tptp.hAPP @t2582 @t2205)))) % 6.34/6.56 (assume @p1881 (forall (@list @t628 @t27 @t30 @t465 @t127) (= (tptp.hAPP (tptp.hAPP @t2446 @t27) @t628) (tptp.hAPP (tptp.hAPP @t27 (tptp.hAPP @t2580 @t628)) (tptp.hAPP @t2481 @t628))))) % 6.34/6.56 (assume @p1882 (forall (@list @t1 @t2 @t2456 @t465 @t127 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2450 @t127 @t465) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2456 @t2451 @t2450) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2456 @t2450) @t1) @t2567))) @t2566) (tptp.hAPP @t2442 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2456 @t2451 @t30) @t2) @t1))))) % 6.34/6.56 (assume @p1883 (forall (@list @t1615 @t25 @t30 @t465 @t127) (= (tptp.hAPP (tptp.hAPP @t2446 @t25) @t1615) (tptp.hAPP (tptp.hAPP @t25 @t2581) @t2579)))) % 6.34/6.56 (assume @p1884 (forall @t2504 (tptp.hBOOL (tptp.hAPP @t2586 @t1235)))) % 6.34/6.56 (assume @p1885 (forall (@list @t1473 @t2587 @t2588 @t1235 @t30) (=> @t2590 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2587) @t1473)) (tptp.hBOOL (tptp.hAPP @t2586 (tptp.hAPP @t2589 @t2587))))))) % 6.34/6.56 (assume @p1886 (forall @t2593 (=> @t2503 (=> @t2592 (= (tptp.hAPP @t2591 (tptp.hAPP @t2589 @t1235)) @t1235))))) % 6.34/6.56 (assume @p1887 (forall @t2504 (= @t2596 (and @t2503 (not @t2499))))) % 6.34/6.56 (assume @p1888 (forall @t2504 (= @t2503 (or @t2596 @t2499)))) % 6.34/6.56 (assume @p1889 (forall @t2504 (=> @t2596 @t2503))) % 6.34/6.56 (assume @p1890 (forall @t2593 (=> @t2596 (=> @t2592 @t2597)))) % 6.34/6.56 (assume @p1891 (forall @t2593 (=> @t2503 @t2598))) % 6.34/6.56 (assume @p1892 (forall @t2504 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2601) @t2600))))) % 6.34/6.56 (assume @p1893 (forall @t2504 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2600) @t2601)) @t2501))) % 6.34/6.56 (assume @p1894 (forall @t2602 (tptp.hBOOL (tptp.hAPP @t2502 @t1235)))) % 6.34/6.56 (assume @p1895 (forall @t2603 (= @t2499 (and @t2503 @t2501)))) % 6.34/6.56 (assume @p1896 (forall @t2603 (=> @t2499 @t2503))) % 6.34/6.56 (assume @p1897 (forall @t2603 (=> @t2499 @t2501))) % 6.34/6.56 (assume @p1898 (forall @t2593 (=> @t2503 (=> @t2592 @t2590)))) % 6.34/6.56 (assume @p1899 (forall @t2603 (=> @t2499 (not (=> @t2503 (not @t2501)))))) % 6.34/6.56 (assume @p1900 (forall @t541 (= (tptp.hAPP @t2515 @t325) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t214 (tptp.hAPP @t2278 @t2511) @t325)))) % 6.34/6.56 (assume @p1901 (forall @t341 (= (tptp.hAPP (tptp.hAPP @t2510 @t325) @t109) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t214 (tptp.hAPP @t2278 (tptp.hAPP (tptp.hAPP @t2604 @t2510) @t23)) @t325)))) % 6.34/6.56 (assume @p1902 (forall @t1295 (=> @t1402 (=> @t1307 (= @t1352 (tptp.hAPP @t2505 @t2297)))))) % 6.34/6.56 (assume @p1903 (forall @t1295 (=> @t1110 (=> @t2396 (= @t1352 (tptp.hAPP @t2505 @t2320)))))) % 6.34/6.56 (assume @p1904 (forall @t928 (=> @t1959 (= @t2506 (tptp.hAPP @t2505 @t2318))))) % 6.34/6.56 (assume @p1905 (forall @t1295 (=> @t1110 (=> @t1304 (= @t1352 (tptp.hAPP @t2505 @t2395)))))) % 6.34/6.56 (assume @p1906 (forall @t2260 (= (tptp.hAPP (tptp.hAPP @t2510 @t1837) @t109) (tptp.hAPP @t2514 (tptp.hAPP @t2199 (tptp.hAPP @t2513 (tptp.hAPP (tptp.hAPP @t2283 (tptp.hAPP (tptp.hAPP @t2282 @t2510) tptp.c_Int_Onat)) @t23))))))) % 6.34/6.56 (assume @p1907 (forall (@list @t1615 @t1 @t2 @t127 @t30) (= (tptp.c_Product__Type_Oprod_Oprod__size @t30 @t127 @t2 @t1 @t1615) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t2 @t2571)) (tptp.hAPP @t1 @t2605))) @t300)))) % 6.34/6.56 (assume @p1908 (forall (@list @t127 @t30 @t1449 @t21 @t1615 @t27) (=> (tptp.hBOOL (tptp.hAPP @t27 @t1615)) (=> (tptp.hBOOL (tptp.hAPP @t21 @t1449)) (and (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t2567 @t2606))) (tptp.hBOOL (tptp.hAPP @t21 (tptp.hAPP @t2566 @t2606)))))))) % 6.34/6.56 (assume @p1909 (forall (@list @t30 @t127 @t378 @t696 @t27) (=> (tptp.hBOOL (tptp.hAPP @t2611 @t378)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 (tptp.hAPP @t2483 @t2609)) (tptp.hAPP @t2610 @t2609)))))) % 6.34/6.56 (assume @p1910 (forall @t1809 (=> @t2576 (= @t2520 (tptp.c_Orderings_Oord_Omin @t30 @t937))))) % 6.34/6.56 (assume @p1911 (forall @t467 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t127 @t465 @t30 @t37 @t2445) @t464))) % 6.34/6.56 (assume @p1912 (forall @t2504 (= (= @t2600 @t2601) @t2499))) % 6.34/6.56 (assume @p1913 (forall @t2602 (= (tptp.hAPP @t2599 @t2600) @t1235))) % 6.34/6.56 (assume @p1914 (forall @t2504 (= (tptp.hAPP @t2612 @t1473) @t2585))) % 6.34/6.56 (assume @p1915 (forall @t2593 (=> @t2596 @t2598))) % 6.34/6.56 (assume @p1916 (forall @t316 (= @t1373 (tptp.hAPP @t2613 @t2205)))) % 6.34/6.56 (assume @p1917 (forall (@list @t2614 @t23 @t325) (= (tptp.hBOOL (tptp.hAPP @t2617 @t2614)) (and (= @t325 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t780 @t2616) @t23)) @t2615)) (=> @t338 (= @t2616 @t214)) (=> @t532 (and (=> @t531 (and (tptp.hBOOL (tptp.hAPP @t1138 @t2615)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t2615) @t23)))) (=> (not @t531) (and (tptp.hBOOL (tptp.hAPP @t494 @t2615)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t2615) @t214)))))))))) % 6.34/6.56 (assume @p1918 (forall (@list @t9 @t322) (=> (tptp.hBOOL (tptp.hAPP @t2619 @t322)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2167 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t2618) (tptp.hAPP (tptp.c_Random_Orange @t322) @t9))) @t322))))) % 6.34/6.56 (assume @p1919 (forall (@list @t178 @t2620) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t2620) @t178) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t2620 (tptp.hAPP (tptp.hAPP @t2219 (tptp.hAPP @t2024 @t1901)) @t178)))))) % 6.34/6.56 (assume @p1920 (forall @t2259 (= (tptp.hAPP @t2624 @t1837) (tptp.hAPP @t2514 (tptp.hAPP @t2623 (tptp.hAPP @t2513 (tptp.hAPP (tptp.hAPP @t2512 @t2622) tptp.c_Int_Onat))))))) % 6.34/6.56 (assume @p1921 (forall @t2260 (= (tptp.hAPP (tptp.hAPP @t2621 @t1837) @t109) (tptp.hAPP @t2514 (tptp.hAPP @t2623 (tptp.hAPP @t2513 (tptp.hAPP (tptp.hAPP @t2283 (tptp.hAPP (tptp.hAPP @t2282 @t2621) tptp.c_Int_Onat)) @t23))))))) % 6.34/6.56 (assume @p1922 (forall @t2627 (= (tptp.hAPP @t2437 (tptp.hAPP @t2626 @t378)) (tptp.hAPP (tptp.hAPP @t2411 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t2456 @t465) @t378))) (tptp.hAPP @t2 (tptp.hAPP @t2625 @t378)))))) % 6.34/6.56 (assume @p1923 (forall @t2110 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2516 @t2630) @t136) (tptp.hAPP (tptp.hAPP @t2628 @t2550) (tptp.hAPP (tptp.hAPP @t2516 @t317) @t136)))))) % 6.34/6.56 (assume @p1924 (forall @t2110 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2628 @t2539) @t136) (tptp.hAPP (tptp.hAPP @t2516 @t2631) (tptp.hAPP (tptp.hAPP @t2628 @t317) @t136)))))) % 6.34/6.56 (assume @p1925 (forall @t830 (=> @t1211 (= @t2633 @t2632)))) % 6.34/6.56 (assume @p1926 (forall @t830 (=> @t1211 (= @t2638 @t2637)))) % 6.34/6.56 (assume @p1927 (forall @t658 (=> @t1211 (= (tptp.hAPP @t2517 @t2636) @t136)))) % 6.34/6.56 (assume @p1928 (forall @t658 (=> @t1211 (= (tptp.hAPP @t2634 @t2518) @t136)))) % 6.34/6.56 (assume @p1929 (forall @t2643 (=> @t1211 (=> @t2642 @t2641)))) % 6.34/6.56 (assume @p1930 (forall @t2537 (=> @t1211 (=> @t1004 @t2641)))) % 6.34/6.56 (assume @p1931 (forall @t2525 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t2646) @t628)) (and @t2556 @t2555))))) % 6.34/6.56 (assume @p1932 (forall @t2554 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP @t2551 @t2646)) (or @t2553 @t2552))))) % 6.34/6.56 (assume @p1933 (forall @t830 (=> @t978 (= (tptp.hAPP (tptp.hAPP @t1476 @t2636) @t317) (tptp.hAPP (tptp.hAPP @t2628 @t2545) @t2544))))) % 6.34/6.56 (assume @p1934 (forall @t658 (=> @t1211 (tptp.hBOOL (tptp.hAPP @t995 @t2636))))) % 6.34/6.56 (assume @p1935 (forall @t1221 (=> @t1211 (tptp.hBOOL (tptp.hAPP @t940 @t2636))))) % 6.34/6.56 (assume @p1936 (forall @t875 (=> @t1228 (= @t1213 (= @t2646 @t696))))) % 6.34/6.56 (assume @p1937 (forall @t2554 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP @t2647 @t2646)) (or (tptp.hBOOL (tptp.hAPP @t2647 @t378)) (tptp.hBOOL (tptp.hAPP @t2647 @t696))))))) % 6.34/6.56 (assume @p1938 (forall @t2525 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t2646) @t628)) @t2648)))) % 6.34/6.56 (assume @p1939 (forall @t2537 (=> @t1211 (=> @t996 @t2649)))) % 6.34/6.56 (assume @p1940 (forall @t2643 (=> @t1211 (=> @t2536 @t2649)))) % 6.34/6.56 (assume @p1941 (forall @t658 (=> @t1211 (=> @t1185 (= @t2636 @t135))))) % 6.34/6.56 (assume @p1942 (forall @t1221 (=> @t1211 (=> @t1195 (= @t2636 @t136))))) % 6.34/6.56 (assume @p1943 (forall @t2532 (=> @t1211 (=> @t2531 (=> @t2533 @t2651))))) % 6.34/6.56 (assume @p1944 (forall @t1197 (=> @t1211 (=> @t1195 (=> @t1222 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2630) @t136))))))) % 6.34/6.56 (assume @p1945 (forall @t1679 (=> @t1211 (=> @t1217 (=> @t2540 (tptp.hBOOL (tptp.hAPP @t2650 (tptp.hAPP (tptp.hAPP @t2628 @t111) @t384)))))))) % 6.34/6.56 (assume @p1946 (forall @t2653 (=> @t1211 (=> @t2651 @t2652)))) % 6.34/6.56 (assume @p1947 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t2621 @t214) @t10) @t10))) % 6.34/6.56 (assume @p1948 (forall @t131 (= (tptp.hAPP @t2654 @t214) @t10))) % 6.34/6.56 (assume @p1949 (forall @t316 (= (tptp.hAPP (tptp.hAPP @t2621 @t265) @t36) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2621 @t264) @t10))))) % 6.34/6.56 (assume @p1950 (forall @t830 (=> @t527 (= (tptp.hAPP (tptp.hAPP @t365 @t2636) @t317) (tptp.hAPP (tptp.hAPP @t2628 @t2543) @t829))))) % 6.34/6.56 (assume @p1951 (forall @t830 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2628 @t2636) @t317) @t2655)))) % 6.34/6.56 (assume @p1952 (forall @t396 (=> @t1211 (= (tptp.hAPP (tptp.hAPP @t2628 @t2640) @t111) @t2657)))) % 6.34/6.56 (assume @p1953 (forall @t830 (=> @t1211 (= @t2655 (tptp.hAPP @t2629 @t2635))))) % 6.34/6.56 (assume @p1954 (forall @t410 (=> @t1211 (= (tptp.hAPP @t2656 (tptp.hAPP @t2639 @t111)) @t2657)))) % 6.34/6.56 (assume @p1955 (forall @t658 (=> @t1211 (= (tptp.hAPP @t2634 @t2636) @t2636)))) % 6.34/6.56 (assume @p1956 (forall @t579 (=> @t1211 (= (tptp.hAPP @t2639 @t2640) @t2640)))) % 6.34/6.56 (assume @p1957 (forall @t658 (=> @t1211 (= @t2636 @t2631)))) % 6.34/6.56 (assume @p1958 (forall @t579 (=> @t1211 (= @t2640 (tptp.hAPP @t2656 @t278))))) % 6.34/6.56 (assume @p1959 (forall @t369 (=> @t1211 (= (tptp.hAPP @t2639 @t278) @t278)))) % 6.34/6.56 (assume @p1960 (forall (@list @t696 @t378 @t2 @t127 @t30 @t465) (= (tptp.hAPP @t2659 (tptp.hAPP (tptp.hAPP @t2658 @t378) @t696)) (tptp.hAPP (tptp.hAPP @t2411 @t668) @t696)))) % 6.34/6.56 (assume @p1961 (forall (@list @t1 @t378 @t2 @t127 @t30 @t465) (= (= @t2662 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t465 @t30 @t127 @t1) @t378)) (= @t2661 (tptp.hAPP @t1 @t2660))))) % 6.34/6.56 (assume @p1962 (forall @t2569 (= (tptp.hAPP @t2567 @t2662) @t2661))) % 6.34/6.56 (assume @p1963 (forall @t669 (= (tptp.hAPP @t2483 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t465 @t127 @t30 @t2) @t378)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t465 @t30) @t378)))) % 6.34/6.56 (assume @p1964 (forall @t2578 (=> @t2577 (and (=> @t2574 (= @t2663 @t1688)) (=> @t2575 (= @t2663 @t2572)))))) % 6.34/6.56 (assume @p1965 (forall @t830 (=> @t1211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2638) @t2637))))) % 6.34/6.56 (assume @p1966 (forall @t830 (=> @t1211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2632) @t2633))))) % 6.34/6.56 (assume @p1967 (forall @t658 (=> @t2664 (= (tptp.hAPP @t721 @t2636) (tptp.hAPP (tptp.hAPP @t2516 @t1046) @t1184))))) % 6.34/6.56 (assume @p1968 (forall @t658 (=> @t2664 (= (tptp.hAPP @t721 @t2518) (tptp.hAPP (tptp.hAPP @t2628 @t1046) @t1184))))) % 6.34/6.56 (assume @p1969 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t301 @t1495) @t264) (tptp.hAPP @t2654 @t264)))) % 6.34/6.56 (assume @p1970 (forall (@list @t1615 @t1 @t2456 @t2 @t30 @t127 @t465) (= (tptp.hAPP @t2437 (tptp.hAPP @t2626 @t1615)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2456 @t30 @t127 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t465 @t127 @t2456 @t2) @t1615))))) % 6.34/6.56 (assume @p1971 (forall @t541 (= (tptp.hAPP @t2624 @t325) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t109 (tptp.hAPP @t2278 @t2622) @t325)))) % 6.34/6.56 (assume @p1972 (forall @t341 (= (tptp.hAPP (tptp.hAPP @t2621 @t325) @t109) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t109 (tptp.hAPP @t2278 (tptp.hAPP (tptp.hAPP @t2604 @t2621) @t23)) @t325)))) % 6.34/6.56 (assume @p1973 (forall @t2669 (= (tptp.hAPP @t2659 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2456 @t127 @t465 @t1) @t378)) (tptp.hAPP (tptp.hAPP @t2411 @t2668) @t2666)))) % 6.34/6.56 (assume @p1974 (forall @t1809 (=> @t1228 (= (tptp.c_Orderings_Oord_Omin @t30 @t2671) @t2644)))) % 6.34/6.56 (assume @p1975 (forall @t1809 (=> @t2576 (= @t2644 (tptp.c_Orderings_Oord_Omax @t30 @t937))))) % 6.34/6.56 (assume @p1976 (forall @t675 (=> (not (= @t322 @t2206)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP (tptp.hAPP @t1459 @t2672) @t300)) @t2672))))) % 6.34/6.56 (assume @p1977 (forall @t447 (= (tptp.c_Nitpick_Ozero__frac @t35) (tptp.c_Nitpick_OAbs__Frac @t35 @t2315)))) % 6.34/6.56 (assume @p1978 (forall (@list @t2673 @t2674 @t2675 @t2474) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t2474 @t2675 @t2674 @t2673) (tptp.c_New__DSequence_Opos__not__seq @t2676)))) % 6.34/6.56 (assume @p1979 (forall @t1541 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t327) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1539)) @t1910))) % 6.34/6.56 (assume @p1980 (forall @t700 (= (= @t2677 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t696)) @t894))) % 6.34/6.56 (assume @p1981 (forall @t131 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t2218) @t10))) % 6.34/6.56 (assume @p1982 (forall @t675 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t2672) @t322))) % 6.34/6.56 (assume @p1983 (forall @t896 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t136)) @t136))) % 6.34/6.56 (assume @p1984 (forall @t541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2167 @t23) @t325)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t2679) @t2678))))) % 6.34/6.56 (assume @p1985 (forall @t675 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t2024 @t322)) (tptp.hAPP @t1618 @t322)))) % 6.34/6.56 (assume @p1986 (forall @t541 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2169 @t23) @t325)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t2679) @t2678))))) % 6.34/6.56 (assume @p1987 (forall @t1255 (= @t2680 (tptp.c_Code__Numeral_Onat__of__aux @t544 @t214)))) % 6.34/6.56 (assume @p1988 (forall @t895 (= @t2162 (tptp.hAPP (tptp.hAPP @t301 @t2680) @t10)))) % 6.34/6.56 (assume @p1989 (forall @t436 (=> @t1211 (= (tptp.hAPP @t2517 @t136) @t136)))) % 6.34/6.56 (assume @p1990 (forall @t436 (=> @t1211 (= (tptp.hAPP @t2634 @t136) @t136)))) % 6.34/6.56 (assume @p1991 (forall @t1809 (=> @t1228 (= (tptp.c_Orderings_Oord_Omax @t30 @t2671) @t2520)))) % 6.34/6.56 (assume @p1992 (forall @t675 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t322) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t2672))))) % 6.34/6.56 (assume @p1993 (forall @t502 (= @t2180 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1459 @t2682) @t2681))))) % 6.34/6.56 (assume @p1994 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t2165 @t10) @t264) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t301 @t2682) @t2681))))) % 6.34/6.56 (assume @p1995 (forall @t502 (= @t2462 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1357 @t2682) @t2681))))) % 6.34/6.56 (assume @p1996 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t2219 @t10) @t264) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t780 @t2682) @t2681))))) % 6.34/6.56 (assume @p1997 (forall @t502 (= @t2461 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2682 @t2681))))) % 6.34/6.56 (assume @p1998 (forall @t447 (= (tptp.c_Nitpick_Oone__frac @t35) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t2193 @t901) @t901))))) % 6.34/6.56 (assume @p1999 (forall @t882 (= (tptp.c_Nitpick_Onumber__of__frac @t35 @t10) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t2193 @t10) @t901))))) % 6.34/6.56 (assume @p2000 (forall @t579 (= (tptp.hAPP (tptp.hAPP @t2683 @t278) @t389) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.c_Nitpick_Onorm__frac @t278 @t389))))) % 6.34/6.56 (assume @p2001 (forall @t2685 (= (tptp.c_Sum__Type_Osum_Osum__case @t30 @t465 @t127 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2684 @t465 @t30) @t2) @t468) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2684 @t465 @t127) @t2) @t470)) @t2))) % 6.34/6.56 (assume @p2002 (forall @t2691 (and (=> @t2689 (= @t2688 @t2608)) (=> @t2690 (= @t2688 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t127 @t30 @t2687) @t668) (tptp.c_Random_Oiterate @t127 @t30 @t2686 @t2))))))) % 6.34/6.56 (assume @p2003 (forall (@list @t218 @t1 @t2 @t2692 @t2454 @t127 @t2456 @t465 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t465 @t2456 @t127) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t2454 @t2692 @t2696) @t2) @t1)) @t218) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t2454 @t2692 @t127) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2454 @t2695 @t2693) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2692 @t2696) (tptp.tc_fun @t2695 @t2693) @t2454) (tptp.c_Product__Type_Oscomp @t2692 @t465 @t2456 @t127)) @t1)) @t218))))) % 6.34/6.56 (assume @p2004 (forall (@list @t378 @t140 @t465 @t30 @t127) (= (tptp.hAPP (tptp.c_Sum__Type_Osum_Osum__case @t127 @t30 @t465 (tptp.hAPP @t2570 @t140) (tptp.hAPP (tptp.c_COMBK @t30 @t465) @t140)) @t378) @t140))) % 6.34/6.56 (assume @p2005 (forall (@list @t2697 @t2698 @t44 @t37 @t127 @t465 @t30) (=> (= (tptp.c_Sum__Type_Osum_Osum__case @t30 @t465 @t127 @t37 @t44) (tptp.c_Sum__Type_Osum_Osum__case @t30 @t465 @t127 @t2698 @t2697)) (not (=> (= @t37 @t2698) (not (= @t44 @t2697))))))) % 6.34/6.56 (assume @p2006 (forall (@list @t1 @t2 @t127 @t465 @t30 @t69 @t61) (=> @t2568 (= (tptp.hAPP @t2699 @t61) (tptp.hAPP @t2699 @t69))))) % 6.34/6.56 (assume @p2007 (forall (@list @t378 @t465 @t127 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t127 @t465 @t2455) @t378) @t2444) @t378))) % 6.34/6.56 (assume @p2008 (forall (@list @t2 @t378 @t127 @t465 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t30 @t465 @t30 @t127) (tptp.hAPP (tptp.c_Product__Type_OPair @t465 @t30) @t378)) @t2) @t668))) % 6.34/6.56 (assume @p2009 (forall @t2701 (= @t2700 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t465 @t2456 @t30) @t1) @t668)))) % 6.34/6.56 (assume @p2010 (forall @t667 (= (tptp.hAPP @t2702 @t666) @t665))) % 6.34/6.56 (assume @p2011 (forall @t664 (= (tptp.hAPP @t2702 @t663) @t463))) % 6.34/6.56 (assume @p2012 (forall @t2701 (= @t2700 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t2667 @t668)) (tptp.hAPP @t2665 @t668))))) % 6.34/6.56 (assume @p2013 (forall @t2709 (= (tptp.c_Nitpick_Oplus__frac @t30 @t1449 @t2033) (tptp.hAPP (tptp.hAPP @t2271 (tptp.c_Nitpick_Oint__lcm @t2708 @t2704)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2342 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t30)) (tptp.hAPP (tptp.hAPP @t2228 (tptp.hAPP @t2326 (tptp.hAPP (tptp.hAPP @t2707 (tptp.hAPP @t710 (tptp.hAPP @t2706 @t1449))) (tptp.hAPP @t2705 @t2708)))) (tptp.hAPP (tptp.hAPP @t2707 (tptp.hAPP @t710 (tptp.hAPP @t2706 @t2033))) (tptp.hAPP @t2705 @t2704))))) @t2227))))) % 6.34/6.56 (assume @p2014 (forall (@list @t465 @t127 @t30) (= (tptp.c_Product__Type_Ointernal__split @t30 @t127 @t465) @t2442))) % 6.34/6.56 (assume @p2015 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t623 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 6.34/6.56 (assume @p2016 (forall @t2716 (and (=> @t2714 (= @t2713 (tptp.c_Lazy__Sequence_Oempty @t30))) (=> @t2715 (= @t2713 (tptp.c_Lazy__Sequence_Obind @t127 @t30 @t2712 @t2711)))))) % 6.34/6.56 (assume @p2017 (forall @t2716 (and (=> @t2714 (= @t2720 (tptp.c_Lazy__Sequence_Ohit__bound @t30))) (=> @t2715 (= @t2720 (tptp.c_Lazy__Sequence_Ohb__bind @t127 @t30 @t2712 @t2719)))))) % 6.34/6.56 (assume @p2018 (forall (@list @t64 @t140 @t25 @t30 @t465 @t127) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t127 @t465 @t30) @t25) @t2445) @t2721))) % 6.34/6.56 (assume @p2019 (forall (@list @t876 @t1105 @t35) (= (tptp.c_Nitpick_Otimes__frac @t35 @t1105 @t876) (tptp.hAPP (tptp.hAPP @t2683 (tptp.hAPP (tptp.hAPP @t710 @t2725) (tptp.hAPP @t2724 @t876))) (tptp.hAPP (tptp.hAPP @t710 @t2723) (tptp.hAPP @t2722 @t876)))))) % 6.34/6.56 (assume @p2020 (forall (@list @t1105 @t35 @t30) (=> (and (tptp.class_Rings_Oinverse @t30) @t2346) (= (tptp.c_Nitpick_Oof__frac @t35 @t30 @t1105) (tptp.hAPP (tptp.hAPP @t2034 (tptp.hAPP @t705 @t2725)) (tptp.hAPP @t705 @t2723)))))) % 6.34/6.56 (assume @p2021 (forall @t2726 (= (tptp.c_Nitpick_Oinverse__frac @t35 @t1105) (tptp.hAPP (tptp.hAPP @t2683 @t2723) @t2725)))) % 6.34/6.56 (assume @p2022 (forall @t2726 (= (tptp.c_Nitpick_Ouminus__frac @t35 @t1105) (tptp.c_Nitpick_OAbs__Frac @t35 (tptp.hAPP (tptp.hAPP @t2193 (tptp.hAPP @t713 @t2725)) @t2723))))) % 6.34/6.56 (assume @p2023 (forall @t2731 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t127 @t30 @t2474 @t2 @t2675 @t2674 @t2673) (tptp.c_New__DSequence_Opos__decr__bind @t127 @t30 @t2676 @t2730)))) % 6.34/6.56 (assume @p2024 (forall @t2709 (= (tptp.c_Nitpick_Oless__frac @t30 @t1449 @t2033) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t2732) @t636))))) % 6.34/6.56 (assume @p2025 (forall @t2709 (= (tptp.c_Nitpick_Oless__eq__frac @t30 @t1449 @t2033) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t2732) @t636))))) % 6.34/6.56 (assume @p2026 (forall @t2731 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t127 @t30 @t2474 @t2 @t2675 @t2674 @t2673) (tptp.c_New__DSequence_Oneg__decr__bind @t127 @t30 @t2676 @t2736)))) % 6.34/6.56 (assume @p2027 (forall @t2738 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t127 @t30 @t378 @t2) @t178) (tptp.c_Lazy__Sequence_Ohb__bind @t127 @t30 @t2737 @t2719)))) % 6.34/6.56 (assume @p2028 (forall (@list @t2739 @t35) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t35) @t2739) (tptp.c_Lazy__Sequence_Oempty @t35)))) % 6.34/6.56 (assume @p2029 (forall (@list @t2673 @t2674 @t2675 @t30) (= (tptp.c_New__Random__Sequence_Opos__empty @t30 @t2675 @t2674 @t2673) (tptp.c_New__DSequence_Opos__empty @t30)))) % 6.34/6.56 (assume @p2030 (forall @t2731 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t127 @t30 @t2474 @t2) @t2675) @t2674) @t2673) (tptp.c_New__DSequence_Oneg__bind @t127 @t30 @t2676 @t2736)))) % 6.34/6.56 (assume @p2031 (forall @t2738 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t127 @t30 @t378 @t2) @t178) (tptp.c_Lazy__Sequence_Obind @t127 @t30 @t2737 @t2711)))) % 6.34/6.56 (assume @p2032 (forall (@list @t21 @t127 @t30 @t696 @t378 @t27) (=> @t2747 (=> @t2745 @t2741)))) % 6.34/6.56 (assume @p2033 (forall (@list @t696 @t378 @t21 @t27 @t127 @t30) (=> @t2745 (=> @t2747 @t2741)))) % 6.34/6.56 (assume @p2034 (forall (@list @t21 @t30 @t378 @t27) (=> @t2750 (=> @t2749 @t2748)))) % 6.34/6.56 (assume @p2035 (forall (@list @t378 @t21 @t27 @t30) (=> @t2749 (=> @t2750 @t2748)))) % 6.34/6.56 (assume @p2036 (forall @t2731 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t127 @t30 @t2474 @t2) @t2675) @t2674) @t2673) (tptp.c_New__DSequence_Opos__bind @t127 @t30 @t2676 @t2730)))) % 6.34/6.56 (assume @p2037 (forall @t2753 (= (tptp.c_HOL_OThe @t2450 @t2752) (tptp.c_HOL_OThe @t2450 @t2751)))) % 6.34/6.56 (assume @p2038 (forall (@list @t2674 @t1 @t30 @t2675) (and (=> @t2764 (= @t2763 @t2765)) (=> (not @t2764) (= @t2763 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2618 @t2756 @t2618 @t2760) (tptp.hAPP @t1 @t2674)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2762 @t2761 @t2756) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2618 @t2757 @t2618 @t2760) (tptp.c_Random__Sequence_ORandom @t30 @t1 (tptp.hAPP (tptp.hAPP @t2040 @t2675) @t2032) @t2674))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2758 @t2762 @t2756) (tptp.hAPP (tptp.c_COMBB @t2757 @t2761 @t2757) @t2759)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2757 @t2758 @t2756) (tptp.c_DSequence_Ounion @t30)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2757 @t2756) @t2755) (tptp.c_Product__Type_Ofst @t30 @t2754))))))))))) % 6.34/6.56 (assume @p2039 (forall (@list @t465 @t2 @t21 @t1615 @t30 @t127 @t27) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t2484) (tptp.hAPP @t2610 @t1615))) (=> (forall @t2509 (=> (tptp.hBOOL (tptp.hAPP @t2507 @t4)) (tptp.hBOOL (tptp.hAPP @t21 @t2766)))) (tptp.hBOOL (tptp.hAPP @t21 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t30 @t465) @t2) @t1615))))))) % 6.34/6.56 (assume @p2040 (forall @t1315 (and (=> @t2173 (= @t2767 @t558)) (=> @t2174 (= @t2767 @t2029))))) % 6.34/6.56 (assume @p2041 (forall @t675 (= (tptp.c_Quickcheck_Obeyond @t322 @t2029) @t2029))) % 6.34/6.56 (assume @p2042 (forall @t2753 (= (tptp.c_HOL_OThe @t2450 @t27) (tptp.c_HOL_OThe @t2450 @t2768)))) % 6.34/6.56 (assume @p2043 (forall @t2779 (= (tptp.c_HOL_OThe @t2450 @t2778) @t2769))) % 6.34/6.56 (assume @p2044 (forall @t341 (= @t2496 (tptp.c_HOL_OThe @t2422 @t2617)))) % 6.34/6.56 (assume @p2045 (forall (@list @t2674 @t2675 @t30) (= (tptp.c_Random__Sequence_Oempty @t30 @t2675 @t2674) @t2765))) % 6.34/6.56 (assume @p2046 (forall (@list @t2674 @t2675 @t378 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2780 @t378) @t2675) @t2674) (tptp.hAPP @t2759 (tptp.hAPP @t2755 @t378))))) % 6.34/6.56 (assume @p2047 (forall @t359 (= (tptp.c_HOL_OThe @t30 @t2782) @t140))) % 6.34/6.56 (assume @p2048 (forall @t380 (= (tptp.c_HOL_OThe @t30 @t2771) @t378))) % 6.34/6.56 (assume @p2049 (forall (@list @t696 @t378 @t25 @t30 @t465 @t127) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t127 @t465 @t30 @t25) @t378) @t696) (tptp.hAPP @t25 @t2783)))) % 6.34/6.56 (assume @p2050 (forall (@list @t64 @t140 @t127 @t30 @t2) (=> @t2785 @t2784))) % 6.34/6.56 (assume @p2051 (forall @t2449 (=> @t2784 @t2785))) % 6.34/6.56 (assume @p2052 (forall @t2448 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t127 @t465 @t30 @t2) @t140) @t64) (tptp.hAPP @t2 @t2445)))) % 6.34/6.56 (assume @p2053 (forall @t2453 (= (tptp.c_Product__Type_Ocurry @t30 @t127 @t465 @t2786) @t2))) % 6.34/6.56 (assume @p2054 (forall @t2453 (= (tptp.hAPP @t2442 (tptp.c_Product__Type_Ocurry @t30 @t127 @t465 @t2)) @t2))) % 6.34/6.56 (assume @p2055 (forall @t2504 (= (tptp.hBOOL (tptp.hAPP @t2791 @t1473)) (forall @t8 (=> @t2790 (tptp.hBOOL @t2787)))))) % 6.34/6.56 (assume @p2056 (forall @t1770 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1769) @t1768)) (=> (tptp.hBOOL (tptp.hAPP @t1418 @t544)) @t1142)))) % 6.34/6.56 (assume @p2057 (forall (@list @t140 @t164 @t2805 @t21 @t183 @t27 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP @t212 (tptp.hAPP @t2811 (tptp.hAPP (tptp.hAPP @t2799 (tptp.hAPP (tptp.hAPP @t2798 (tptp.hAPP @t2797 (tptp.hAPP @t2795 @t2810))) @t164)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Oloc tptp.tc_Nat_Onat) tptp.c_Natural_Ogetlocs) tptp.c_Com_ORes))))) @t2794)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t2808 (tptp.hAPP @t2804 (tptp.hAPP (tptp.hAPP @t2799 (tptp.hAPP (tptp.hAPP @t2798 (tptp.hAPP @t2797 (tptp.hAPP @t2795 tptp.c_Natural_Onewlocs))) @t418)) @t140)))) @t184) @t21)) @t2794))))) % 6.34/6.56 (assume @p2058 (forall @t341 (=> @t594 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP @t965 @t325)) @t325)) @t1166)))) % 6.34/6.56 (assume @p2059 (forall @t341 (=> @t594 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t973) @t325)) @t1166)))) % 6.34/6.56 (assume @p2060 (forall @t896 (tptp.hBOOL (tptp.hAPP @t2812 @t136)))) % 6.34/6.56 (assume @p2061 (forall @t369 (=> @t370 (tptp.hBOOL (tptp.hAPP @t2814 @t364))))) % 6.34/6.56 (assume @p2062 (forall @t2602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2815) @t1235)))) % 6.34/6.56 (assume @p2063 (forall @t675 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t300) @t322)))) % 6.34/6.56 (assume @p2064 (forall (@list @t27 @t30 @t4) (=> (tptp.hBOOL (tptp.hAPP @t2789 @t2815)) @t1059))) % 6.34/6.56 (assume @p2065 (forall (@list @t113 @t88 @t83 @t84 @t30) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t84 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP (tptp.hAPP @t2803 (tptp.hAPP @t2802 @t83)) (tptp.hAPP (tptp.hAPP @t2799 (tptp.hAPP @t2816 @t88)) @t113))) (tptp.c_Com_Ocom_OAss @t88 @t113)) @t83)) @t2794)))) % 6.34/6.56 (assume @p2066 (forall (@list @t140 @t164 @t27 @t52 @t30) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t2804 (tptp.hAPP (tptp.hAPP @t2799 (tptp.hAPP @t2816 @t164)) @t140))) @t165) @t27)) @t2794)))) % 6.34/6.56 (assume @p2067 (forall @t2821 (=> (tptp.hBOOL (tptp.hAPP @t2502 @t2819)) (or @t2820 (= @t1235 @t2819))))) % 6.34/6.56 (assume @p2068 (forall @t2824 (not (= @t2815 @t2823)))) % 6.34/6.56 (assume @p2069 (forall @t2824 (not (= @t2823 @t2815)))) % 6.34/6.56 (assume @p2070 (forall @t2826 (= (tptp.hAPP @t2818 @t2825) @t2825))) % 6.34/6.56 (assume @p2071 (forall @t2829 (= (tptp.hAPP @t2818 @t2828) (tptp.hAPP @t2827 @t2825)))) % 6.34/6.56 (assume @p2072 (forall @t824 (= (= @t2836 (tptp.hAPP @t2833 (tptp.hAPP (tptp.hAPP @t2817 @t819) @t2815))) (or @t2832 (and (= @t140 @t819) @t397))))) % 6.34/6.56 (assume @p2073 (forall (@list @t378 @t1235 @t696 @t30) (= (tptp.hBOOL (tptp.hAPP @t2828 @t378)) (or @t2838 @t2837)))) % 6.34/6.56 (assume @p2074 (forall @t745 (=> (= @t2839 @t2835) @t759))) % 6.34/6.56 (assume @p2075 (forall (@list @t322 @t558 @t35) (=> @t657 (=> (= (tptp.hAPP @t1630 @t558) @t1724) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t558) @t322)))))) % 6.34/6.56 (assume @p2076 (forall @t2843 (=> @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 (tptp.hAPP @t1644 @t325)) @t327)) @t2842)))) % 6.34/6.56 (assume @p2077 (forall @t2843 (=> @t587 (= (tptp.hBOOL (tptp.hAPP @t2841 (tptp.hAPP @t1644 @t327))) @t2842)))) % 6.34/6.56 (assume @p2078 (forall (@list @t2474 @t819 @t21 @t25 @t27 @t52 @t30) (=> @t2844 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t21) @t819) @t2474)) @t2794)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t32 (tptp.c_Com_Ocom_OSemi @t25 @t819)) @t2474)) @t2794)))))) % 6.34/6.56 (assume @p2079 (forall (@list @t83 @t84 @t30) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t84 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t83) tptp.c_Com_Ocom_OSKIP) @t83)) @t2794)))) % 6.34/6.56 (assume @p2080 (forall (@list @t27 @t52 @t30) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t32 tptp.c_Com_Ocom_OSKIP) @t27)) @t2794)))) % 6.34/6.56 (assume @p2081 (forall @t369 (=> @t370 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t364) @t278)) @t797)))) % 6.34/6.56 (assume @p2082 (forall @t396 (=> @t370 (=> @t2846 (=> @t2845 (tptp.hBOOL (tptp.hAPP @t2814 @t391))))))) % 6.34/6.56 (assume @p2083 (forall @t369 (=> @t370 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t929) @t278))))) % 6.34/6.56 (assume @p2084 (forall @t2848 (=> (tptp.class_Orderings_Obot @t30) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t1237) @t378) @t2847)))) % 6.34/6.56 (assume @p2085 (forall @t2853 (=> @t2852 (and @t2851 @t2849)))) % 6.34/6.56 (assume @p2086 (forall @t2853 (=> @t2851 (=> @t2849 @t2852)))) % 6.34/6.56 (assume @p2087 (forall @t2856 (=> @t2855 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t2854) @t2849)))) % 6.34/6.56 (assume @p2088 (forall @t359 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t140 @t2794))) % 6.34/6.56 (assume @p2089 (forall (@list @t52 @t30) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t2794))) % 6.34/6.56 (assume @p2090 (forall @t700 (= @t894 (and @t2858 @t2857)))) % 6.34/6.56 (assume @p2091 (forall @t700 (= @t2858 (or @t2859 @t894)))) % 6.34/6.56 (assume @p2092 (forall @t700 (= @t2859 (and @t2858 @t1227)))) % 6.34/6.56 (assume @p2093 (forall @t1295 (=> @t1203 (=> @t2863 @t2864)))) % 6.34/6.56 (assume @p2094 (forall @t138 (=> @t137 @t2865))) % 6.34/6.56 (assume @p2095 (forall (@list @t378 @t696) (=> @t2857 (= @t2858 @t894)))) % 6.34/6.56 (assume @p2096 (forall @t138 (=> @t2865 (or @t2868 @t137)))) % 6.34/6.56 (assume @p2097 (forall @t1295 (=> @t2863 (=> @t1203 @t2864)))) % 6.34/6.56 (assume @p2098 (forall @t1290 (=> @t878 (=> @t2870 @t2869)))) % 6.34/6.56 (assume @p2099 (forall @t1290 (=> @t2863 (=> @t406 @t2869)))) % 6.34/6.56 (assume @p2100 (forall @t316 (=> @t2872 (=> @t2871 @t499)))) % 6.34/6.56 (assume @p2101 (forall @t138 (=> @t2865 (=> @t2867 @t137)))) % 6.34/6.56 (assume @p2102 (forall @t321 (=> @t2865 (=> @t2874 @t2873)))) % 6.34/6.56 (assume @p2103 (forall @t1290 (=> @t878 (=> (and @t2870 (not (tptp.hBOOL (tptp.hAPP @t2875 @t389)))) @t2876)))) % 6.34/6.56 (assume @p2104 (forall @t321 (=> @t2865 @t2879))) % 6.34/6.56 (assume @p2105 (forall @t138 (=> @t2868 @t505))) % 6.34/6.56 (assume @p2106 (forall @t138 (=> @t2868 (not (and @t2867 (not @t2865)))))) % 6.34/6.56 (assume @p2107 (forall @t138 (=> @t2868 @t2865))) % 6.34/6.56 (assume @p2108 (forall @t138 (=> @t2868 @t1231))) % 6.34/6.56 (assume @p2109 (forall @t1290 (=> @t2864 (=> @t406 @t2876)))) % 6.34/6.56 (assume @p2110 (forall @t321 (=> @t2868 (=> @t2874 @t2878)))) % 6.34/6.56 (assume @p2111 (forall @t1295 (=> @t2864 (not (and @t2861 (not @t2863)))))) % 6.34/6.56 (assume @p2112 (forall @t321 (=> @t2868 @t2879))) % 6.34/6.56 (assume @p2113 (forall @t369 (=> @t370 (tptp.hBOOL (tptp.hAPP @t2814 @t278))))) % 6.34/6.56 (assume @p2114 (forall @t396 (=> @t370 (=> @t2846 (=> @t2881 @t2845))))) % 6.34/6.56 (assume @p2115 (forall @t401 (=> @t2886 (=> @t2885 (=> (tptp.hBOOL (tptp.hAPP @t2884 @t25)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t2883) (tptp.hAPP (tptp.hAPP @t2882 @t25) @t140))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t64) @t25)))))))) % 6.34/6.56 (assume @p2116 (forall (@list @t10 @t135 @t136 @t35) (=> @t370 (=> @t2890 (tptp.hBOOL (tptp.hAPP @t2888 @t2887)))))) % 6.34/6.56 (assume @p2117 (forall @t2895 (=> @t1269 (=> @t2894 (=> @t2893 @t2892))))) % 6.34/6.56 (assume @p2118 (forall @t2895 (=> @t1269 (=> @t2892 (=> @t2893 @t2894))))) % 6.34/6.56 (assume @p2119 (forall @t1019 (=> @t1269 (=> @t2897 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t1268 @t111) @t1273))))) % 6.34/6.56 (assume @p2120 (forall (@list @t325 @t23 @t327 @t30) (=> @t2886 (=> (tptp.hBOOL (tptp.hAPP @t2898 @t23)) (= (tptp.hBOOL (tptp.hAPP @t2898 (tptp.c_Divides_Odiv__class_Omod @t30 @t325 @t23))) (tptp.hBOOL (tptp.hAPP @t2898 @t325))))))) % 6.34/6.56 (assume @p2121 (forall @t579 (=> @t370 (tptp.hBOOL (tptp.hAPP @t2814 @t737))))) % 6.34/6.56 (assume @p2122 (forall @t579 (=> @t370 (tptp.hBOOL (tptp.hAPP @t2814 @t735))))) % 6.34/6.56 (assume @p2123 (forall @t396 (=> @t370 (=> @t2846 @t2899)))) % 6.34/6.56 (assume @p2124 (forall @t528 (=> @t370 (=> @t2845 @t2899)))) % 6.34/6.56 (assume @p2125 (forall @t405 (=> @t370 (=> @t2846 (=> (tptp.hBOOL (tptp.hAPP @t2896 @t384)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t809) @t1041))))))) % 6.34/6.56 (assume @p2126 (forall (@list @t322 @t389 @t278 @t35) (=> (tptp.class_Rings_Odvd @t35) (=> (= @t278 (tptp.hAPP @t734 @t322)) (tptp.hBOOL (tptp.hAPP @t2880 @t278)))))) % 6.34/6.56 (assume @p2127 (forall @t396 (=> @t370 (=> @t2900 @t2845)))) % 6.34/6.56 (assume @p2128 (forall @t396 (=> @t370 (=> @t2900 @t2881)))) % 6.34/6.56 (assume @p2129 (forall (@list @t52 @t48 @t30) (=> (tptp.hBOOL (tptp.hAPP @t2902 @t52)) @t2849))) % 6.34/6.56 (assume @p2130 (forall (@list @t48 @t2903 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t2903) (=> (tptp.hBOOL (tptp.hAPP @t2902 @t2903)) @t2849)))) % 6.34/6.56 (assume @p2131 (forall @t2856 (=> @t2855 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2901 @t2854) @t52)) @t2849)))) % 6.34/6.56 (assume @p2132 (forall @t987 (=> @t2907 (=> @t2906 @t2905)))) % 6.34/6.56 (assume @p2133 (forall (@list @t140 @t2587 @t2588 @t30) (=> (tptp.hBOOL (tptp.hAPP @t2908 @t2587)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t2822 @t2588)) (tptp.hAPP @t2822 @t2587)))))) % 6.34/6.56 (assume @p2134 (forall (@list @t64 @t1473 @t1235 @t30) (=> @t2503 (tptp.hBOOL (tptp.hAPP @t2502 @t2909))))) % 6.34/6.56 (assume @p2135 (forall (@list @t140 @t1473 @t30) (tptp.hBOOL (tptp.hAPP @t2500 @t2910)))) % 6.34/6.56 (assume @p2136 (forall (@list @t23 @t327) (= (tptp.hBOOL (tptp.hAPP @t2911 @t333)) (tptp.hBOOL (tptp.hAPP @t2911 @t23))))) % 6.34/6.56 (assume @p2137 (forall @t830 (=> @t1047 (=> @t2890 (=> (tptp.hBOOL (tptp.hAPP @t2889 @t317)) (tptp.hBOOL (tptp.hAPP @t2889 @t2544))))))) % 6.34/6.56 (assume @p2138 (forall @t875 (=> @t2914 (= (tptp.hBOOL (tptp.hAPP @t2912 @t1189)) @t2913)))) % 6.34/6.56 (assume @p2139 (forall @t875 (=> @t2914 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t1190) @t696)) @t2913)))) % 6.34/6.56 (assume @p2140 (forall @t2916 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t2800 @t2800) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2915 (tptp.tc_fun @t2800 @t2800) @t30) @t2807) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2800 @t2915 @t30) @t2806) @t27))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t64))) @t190) @t27)) @t2794)))) % 6.34/6.56 (assume @p2141 (forall @t2918 (= @t2917 (tptp.hAPP @t2612 @t2839)))) % 6.34/6.56 (assume @p2142 (forall @t2918 (= @t2917 (tptp.hAPP (tptp.hAPP @t2583 @t2919) @t1473)))) % 6.34/6.56 (assume @p2143 (forall @t2824 (= @t2920 @t2823))) % 6.34/6.56 (assume @p2144 (forall @t2023 (= (tptp.hBOOL (tptp.hAPP @t2921 @t933)) @t1167))) % 6.34/6.56 (assume @p2145 (forall @t2602 (= (tptp.hBOOL (tptp.hAPP @t2502 @t2815)) @t2820))) % 6.34/6.56 (assume @p2146 (forall @t2602 (= (tptp.hAPP @t2584 @t1235) @t2815))) % 6.34/6.56 (assume @p2147 (forall @t2602 (= (tptp.hAPP @t2584 @t2815) @t1235))) % 6.34/6.56 (assume @p2148 (forall @t2602 (= (tptp.hAPP (tptp.hAPP @t2583 @t2815) @t1235) @t2815))) % 6.34/6.56 (assume @p2149 (forall @t2602 (not (tptp.hBOOL (tptp.hAPP @t2595 @t2815))))) % 6.34/6.56 (assume @p2150 (forall (@list @t21 @t183 @t27 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t2924) @t2923))) % 6.34/6.56 (assume @p2151 (forall (@list @t52 @t21 @t183 @t27 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 (tptp.hAPP @t2922 @t52) @t2924) @t2923))) % 6.34/6.56 (assume @p2152 (forall @t436 (=> (tptp.class_Orderings_Obot @t35) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t2925) @t136))))) % 6.34/6.56 (assume @p2153 (forall @t514 (=> @t779 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t859) @t858)) @t2926)))) % 6.34/6.56 (assume @p2154 (forall @t512 (=> @t779 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t821) @t818)) @t2926)))) % 6.34/6.56 (assume @p2155 (forall @t579 (=> @t1269 (=> @t2846 (= (tptp.c_Divides_Odiv__class_Omod @t35 @t389 @t278) @t364))))) % 6.34/6.56 (assume @p2156 (forall @t745 (=> @t2886 (= @t2885 (= (tptp.c_Divides_Odiv__class_Omod @t30 @t64 @t140) @t352))))) % 6.34/6.56 (assume @p2157 (forall @t2120 (=> @t1269 (=> (tptp.hBOOL (tptp.hAPP @t2928 @t136)) (=> (tptp.hBOOL (tptp.hAPP @t2928 @t135)) (= (tptp.hAPP (tptp.hAPP @t1382 @t2018) @t317) (tptp.hAPP (tptp.hAPP @t365 (tptp.hAPP @t2927 @t317)) (tptp.hAPP (tptp.hAPP @t1382 @t135) @t317)))))))) % 6.34/6.56 (assume @p2158 (forall @t579 (=> @t1269 (=> @t2846 (= (tptp.hAPP @t736 @t2930) @t389))))) % 6.34/6.56 (assume @p2159 (forall @t1019 (=> @t1269 (=> @t2897 (= (tptp.hAPP @t736 (tptp.hAPP @t2929 @t111)) (tptp.hAPP @t1415 @t111)))))) % 6.34/6.56 (assume @p2160 (forall @t579 (=> @t1269 (=> @t2846 (= (tptp.hAPP @t2931 @t278) @t389))))) % 6.34/6.56 (assume @p2161 (forall @t396 (=> @t1269 (=> @t2846 (= (tptp.hAPP @t2931 @t111) (tptp.hAPP (tptp.hAPP @t1382 @t760) @t278)))))) % 6.34/6.56 (assume @p2162 (forall (@list @t681 @t317 @t136 @t135 @t35) (=> @t1269 (=> @t2933 (=> (tptp.hBOOL (tptp.hAPP @t2928 @t681)) (= (tptp.hAPP (tptp.hAPP @t730 @t2932) (tptp.hAPP (tptp.hAPP @t1382 @t681) @t317)) (tptp.hAPP (tptp.hAPP @t1382 (tptp.hAPP @t825 @t681)) @t2122))))))) % 6.34/6.56 (assume @p2163 (forall @t1221 (=> @t1283 (=> @t2933 (= (tptp.hAPP (tptp.hAPP @t1382 @t1046) @t135) @t2934))))) % 6.34/6.56 (assume @p2164 (forall @t1221 (=> @t1283 (=> @t2933 (= (tptp.hAPP @t2927 @t1184) @t2934))))) % 6.34/6.56 (assume @p2165 (forall (@list @t278 @t10 @t264 @t35) (=> @t370 (=> @t1142 (tptp.hBOOL (tptp.hAPP @t2935 @t1736)))))) % 6.34/6.56 (assume @p2166 (forall (@list @t264 @t10 @t135 @t136 @t35) (=> @t370 (=> @t2890 (=> @t1140 (tptp.hBOOL (tptp.hAPP @t2888 (tptp.hAPP @t1654 @t264)))))))) % 6.34/6.56 (assume @p2167 (forall (@list @t264 @t389 @t10 @t278 @t35) (=> @t370 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2813 @t1736) @t389)) (=> @t1142 (tptp.hBOOL (tptp.hAPP @t2935 @t389))))))) % 6.34/6.56 (assume @p2168 (forall (@list @t10 @t136 @t135 @t35) (=> @t1269 (=> @t2933 (= (tptp.hAPP (tptp.hAPP @t1639 @t2932) @t10) (tptp.hAPP (tptp.hAPP @t1382 @t2013) @t2887)))))) % 6.34/6.56 (assume @p2169 (forall (@list @t140 @t2805 @t164 @t21 @t25 @t27 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP @t33 (tptp.hAPP @t2811 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Nat_Onat tptp.tc_Com_Ostate) @t2936) (tptp.hAPP @t2810 @t164))))) @t2794)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t2808 (tptp.hAPP @t2804 (tptp.hAPP (tptp.hAPP @t2799 @t2936) @t140)))) (tptp.c_Com_Ocom_OLocal @t164 @t140 @t25)) @t21)) @t2794))))) % 6.34/6.56 (assume @p2170 (forall @t2023 (= (tptp.hBOOL (tptp.hAPP @t2921 @t300)) @t348))) % 6.34/6.56 (assume @p2171 (forall @t316 (=> @t1417 (=> @t492 (not @t2871))))) % 6.34/6.56 (assume @p2172 (forall @t331 (= @t2938 (or @t963 @t2937)))) % 6.34/6.56 (assume @p2173 (forall @t987 (=> @t2905 (=> @t2906 (=> @t1140 @t2907))))) % 6.34/6.56 (assume @p2174 (forall @t987 (=> @t2905 (=> @t2907 (=> @t1140 @t2906))))) % 6.34/6.56 (assume @p2175 (forall @t2602 (= (tptp.hBOOL (tptp.hAPP @t2502 @t2600)) @t2820))) % 6.34/6.56 (assume @p2176 (forall (@list @t1539 @t27 @t30) (=> (and @t2941 @t2940) (= (exists @t8 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t776 @t1539) @t4)))) (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t1539) (tptp.hAPP @t2939 @t352))) @t1059)))))) % 6.34/6.56 (assume @p2177 (forall (@list @t69 @t2587 @t819 @t30) (=> (and (tptp.class_Rings_Ocomm__ring @t30) @t2941) (=> (tptp.hBOOL (tptp.hAPP @t2942 @t2587)) (forall @t2943 (= (tptp.hBOOL (tptp.hAPP @t2942 (tptp.hAPP @t2939 @t69))) (tptp.hBOOL (tptp.hAPP @t2942 (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP (tptp.hAPP @t1475 @t4) (tptp.hAPP (tptp.hAPP @t776 @t595) @t2587))) @t69))))))))) % 6.34/6.56 (assume @p2178 (forall @t875 (=> (and @t2886 @t1629) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t1624) @t1623)) (= (tptp.c_Divides_Odiv__class_Omod @t30 @t1623 @t1624) @t352))))) % 6.34/6.56 (assume @p2179 (forall (@list @t819 @t64 @t25 @t140 @t30) (=> @t2886 (=> @t1678 (=> @t2073 (=> @t2885 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2840 @t25) @t819)) (= (= @t2883 (tptp.hAPP (tptp.hAPP @t2882 @t819) @t25)) (= @t818 @t820))))))))) % 6.34/6.56 (assume @p2180 (forall @t401 (=> @t2886 (=> @t1678 (=> @t2885 (= (= @t2883 @t25) (= @t64 @t859))))))) % 6.34/6.56 (assume @p2181 (forall (@list @t10 @t322) (=> @t2906 (=> @t530 @t1160)))) % 6.34/6.56 (assume @p2182 (forall @t331 (=> @t1054 (= @t2938 @t2937)))) % 6.34/6.56 (assume @p2183 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t986) @t985)) (=> @t712 @t2872)))) % 6.34/6.56 (assume @p2184 (forall @t2504 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 @t2791) (tptp.c_Predicate_OPowp @t30 @t1473)))))) % 6.34/6.56 (assume @p2185 (forall (@list @t136 @t10 @t35) (=> @t370 (=> (or @t530 (= @t136 @t929)) (tptp.hBOOL (tptp.hAPP @t2889 @t2013)))))) % 6.34/6.56 (assume @p2186 (forall (@list @t164 @t30) (= (tptp.c_Set_Othe__elem @t30 @t164) (tptp.c_HOL_OThe @t30 (tptp.hAPP (tptp.hAPP @t2948 (tptp.hAPP tptp.c_fequal @t164)) @t2947))))) % 6.34/6.56 (assume @p2187 (forall @t380 (= (tptp.c_Set_Othe__elem @t30 @t2819) @t378))) % 6.34/6.56 (assume @p2188 (forall @t380 (= (tptp.c_Option_Oset @t30 @t2949) @t2819))) % 6.34/6.56 (assume @p2189 (forall @t2957 (=> @t671 (=> @t2956 (=> @t2859 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t668) @t2433))))))) % 6.34/6.56 (assume @p2190 (forall @t2957 (=> @t671 (=> @t2959 (=> @t2858 @t2958))))) % 6.34/6.56 (assume @p2191 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t2961 @t1602)) @t2962))) % 6.34/6.56 (assume @p2192 (forall (@list @t10 @t264 @t2963) (=> (tptp.hBOOL (tptp.hAPP @t2964 @t264)) (=> (tptp.hBOOL (tptp.hAPP @t2964 @t10)) (tptp.hBOOL (tptp.hAPP @t2964 @t1602)))))) % 6.34/6.56 (assume @p2193 (forall @t2967 (= @t2966 (tptp.hBOOL (tptp.hAPP @t2965 (tptp.hAPP @t713 @t69)))))) % 6.34/6.56 (assume @p2194 (forall @t2967 (= @t2966 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t713 @t819)) @t69))))) % 6.34/6.56 (assume @p2195 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP @t2961 (tptp.hAPP @t1601 @t10))) @t2962))) % 6.34/6.56 (assume @p2196 (forall @t1295 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t278) @t389)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t389) @t278)) (= (tptp.hAPP @t1612 @t278) (tptp.hAPP @t1612 @t389)))))) % 6.34/6.56 (assume @p2197 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t214)) % 6.34/6.56 (assume @p2198 (forall @t316 (=> @t1300 (=> (tptp.hBOOL (tptp.hAPP @t898 @t10)) (=> @t2969 (=> @t2968 @t499)))))) % 6.34/6.56 (assume @p2199 (forall @t316 (=> (tptp.hBOOL (tptp.hAPP @t637 @t264)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t264) @t10)) (not @t2968))))) % 6.34/6.56 (assume @p2200 (forall @t987 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 (tptp.hAPP @t880 @t264)) (tptp.hAPP @t880 @t10))) (=> (not (= @t322 @t636)) @t2969)))) % 6.34/6.56 (assume @p2201 (forall (@list @t69 @t325 @t327) (=> @t2345 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t325) @t69)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t2970) (tptp.hAPP @t1329 @t69))))))) % 6.34/6.56 (assume @p2202 (forall (@list @t25 @t69 @t378 @t819 @t140) (=> (tptp.hBOOL (tptp.hAPP @t2971 @t819)) (= (tptp.hBOOL (tptp.hAPP @t2971 (tptp.hAPP @t1871 @t69))) (tptp.hBOOL (tptp.hAPP @t2971 (tptp.hAPP (tptp.hAPP @t626 (tptp.hAPP @t1871 (tptp.hAPP (tptp.hAPP @t710 @t25) @t819))) @t69))))))) % 6.34/6.56 (assume @p2203 (forall (@list @t325 @t23 @t327) (= (tptp.hBOOL (tptp.hAPP @t2972 (tptp.hAPP (tptp.hAPP @t626 @t23) @t2970))) (tptp.hBOOL (tptp.hAPP @t2972 @t23))))) % 6.34/6.56 (assume @p2204 (forall @t700 (= @t2858 @t2973))) % 6.34/6.56 (assume @p2205 (forall @t700 (= @t2973 @t2858))) % 6.34/6.56 (assume @p2206 (forall @t502 (=> @t2968 (= @t1603 @t264)))) % 6.34/6.56 (assume @p2207 (forall (@list @t696 @t23 @t378) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t378 @t23) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t696 @t23)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t23) (tptp.hAPP (tptp.hAPP @t1454 @t378) @t696)))))) % 6.34/6.56 (assume @p2208 (forall @t1825 (= (tptp.hBOOL (tptp.hAPP @t2974 @t901)) (= @t1673 @t901)))) % 6.34/6.56 (assume @p2209 (forall @t1571 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t135) @t136)) (= (tptp.hAPP @t1612 @t1386) (tptp.hAPP (tptp.hAPP @t1347 @t1641) @t1816))))) % 6.34/6.56 (assume @p2210 (forall @t2975 (=> @t671 (=> @t2956 @t2959)))) % 6.34/6.56 (assume @p2211 (forall @t1778 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t317) @t10)) (=> (tptp.hBOOL (tptp.hAPP @t637 @t10)) (tptp.hBOOL (tptp.hAPP @t922 @t10)))))) % 6.34/6.56 (assume @p2212 (forall @t700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t2976) @t2977)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2977 @t2976) @t636)))) % 6.34/6.56 (assume @p2213 (forall (@list @t384 @t544) (=> @t1254 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t384) @t544)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 (tptp.hAPP @t1612 @t384)) @t1729)))))) % 6.34/6.56 (assume @p2214 (forall @t700 (=> @t1068 (=> @t1067 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1066) @t1065)) (tptp.hBOOL (tptp.hAPP @t2974 @t696))))))) % 6.34/6.56 (assume @p2215 (forall @t341 (=> (not (= @t325 @t636)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t1101) @t325)) (= (tptp.hAPP @t1612 @t23) @t901))))) % 6.34/6.56 (assume @p2216 (forall @t2980 (= @t2979 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t2978) @t325))))) % 6.34/6.56 (assume @p2217 (forall @t888 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2960 @t634) @t628)) (tptp.hBOOL (tptp.hAPP @t2921 @t2978))))) % 6.34/6.56 (assume @p2218 (forall @t1809 (= (tptp.c_Option_Oset @t30 @t433) @t2815))) % 6.34/6.56 (assume @p2219 (forall (@list @t2981 @t30) (= (= @t2982 @t2815) (= @t2981 @t433)))) % 6.34/6.56 (assume @p2220 (forall @t2980 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t719) @t325)) (and (=> @t1002 @t2979) (=> (not @t1002) @t339))))) % 6.34/6.56 (assume @p2221 (forall (@list @t21 @t25 @t52 @t30 @t27) (=> (forall @t29 (=> @t28 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t2983 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t24))) @t25) (tptp.hAPP @t2983 @t22))) @t2794)))) @t2844))) % 6.34/6.56 (assume @p2222 (forall (@list @t21 @t2984 @t25 @t27 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP @t33 @t2984)) @t2794)) (=> (forall @t29 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2984 @t20) @t24)) (tptp.hBOOL (tptp.hAPP @t22 @t24)))) @t2844)))) % 6.34/6.56 (assume @p2223 (forall (@list @t27 @t21 @t25 @t2985 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t2985) @t25) @t21)) @t2794)) (=> (forall @t29 (=> @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2985 @t20) @t24)))) @t2844)))) % 6.34/6.56 (assume @p2224 (forall @t2994 (= (tptp.hBOOL (tptp.hAPP @t2595 @t2993)) (and (=> @t2991 @t2596) (=> @t2992 (and (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2594 @t2990) @t1473))) @t2989)))))) % 6.34/6.56 (assume @p2225 (forall (@list @t25 @t30 @t1473 @t1235) (=> @t2499 (=> @t3001 (not @t2999))))) % 6.34/6.56 (assume @p2226 (forall @t359 (not (tptp.hBOOL (tptp.hAPP @t3002 @t2815))))) % 6.34/6.56 (assume @p2227 (forall @t3006 (=> @t3005 (=> @t823 @t3003)))) % 6.34/6.56 (assume @p2228 (forall @t3010 (=> (=> @t3009 @t759) @t3007))) % 6.34/6.56 (assume @p2229 (forall @t3012 (=> @t2503 @t3011))) % 6.34/6.56 (assume @p2230 (forall @t3014 (=> @t3013 (not @t3011)))) % 6.34/6.56 (assume @p2231 (forall @t3014 (=> @t2997 (=> @t3000 @t3013)))) % 6.34/6.56 (assume @p2232 (forall @t3016 (=> @t2998 @t3015))) % 6.34/6.56 (assume @p2233 (forall (@list @t465 @t127 @t64 @t140 @t25 @t628 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3018 @t2721)) (tptp.hBOOL (tptp.hAPP @t3018 (tptp.hAPP @t3017 @t2445)))))) % 6.34/6.56 (assume @p2234 (forall @t3019 (tptp.hBOOL (tptp.hAPP @t3002 @t2910)))) % 6.34/6.56 (assume @p2235 (forall @t2602 (= (forall @t8 @t3021) @t2820))) % 6.34/6.56 (assume @p2236 (forall @t2602 (= @t3023 @t3022))) % 6.34/6.56 (assume @p2237 (forall (@list @t25 @t30) (not (tptp.hBOOL (tptp.hAPP @t2995 @t2815))))) % 6.34/6.56 (assume @p2238 (forall @t3006 (= @t3005 @t3024))) % 6.34/6.56 (assume @p2239 (forall @t3025 (=> @t2988 (=> @t2992 (= (= @t2825 @t2993) @t2499))))) % 6.34/6.56 (assume @p2240 (forall (@list @t140 @t30 @t1235) (=> @t2820 @t3026))) % 6.34/6.56 (assume @p2241 (forall @t3010 (=> @t3008 @t3007))) % 6.34/6.56 (assume @p2242 (forall @t2824 (=> @t3003 (= @t2823 @t1235)))) % 6.34/6.56 (assume @p2243 (forall @t3027 (=> @t2503 (=> @t2987 @t2991)))) % 6.34/6.56 (assume @p2244 (forall @t3025 (=> @t2987 (=> @t2503 @t2991)))) % 6.34/6.56 (assume @p2245 (forall @t3016 (= @t3015 @t2998))) % 6.34/6.56 (assume @p2246 (forall @t3016 (=> @t3015 @t2998))) % 6.34/6.56 (assume @p2247 (forall @t3033 (= (= @t3032 @t3031) @t3029))) % 6.34/6.56 (assume @p2248 (forall @t875 (= (tptp.hBOOL (tptp.hAPP @t2986 @t2770)) @t894))) % 6.34/6.56 (assume @p2249 (forall @t3014 (= @t3013 (and @t2997 @t3000)))) % 6.34/6.56 (assume @p2250 (forall @t3014 (=> @t3013 @t2997))) % 6.34/6.56 (assume @p2251 (forall @t3014 (=> @t3013 @t3000))) % 6.34/6.56 (assume @p2252 (forall @t2826 (= @t2987 @t2837))) % 6.34/6.56 (assume @p2253 (forall (@list @t378 @t30 @t1473 @t1235) (=> @t2499 (= @t2987 @t2991)))) % 6.34/6.56 (assume @p2254 (forall (@list @t1235 @t30 @t696 @t378) (=> @t894 (= @t2987 @t3035)))) % 6.34/6.56 (assume @p2255 (forall @t3038 (=> @t759 (=> @t3037 @t3003)))) % 6.34/6.56 (assume @p2256 (forall @t3012 (=> @t2596 @t3011))) % 6.34/6.56 (assume @p2257 (forall @t380 (= (tptp.hBOOL (tptp.hAPP @t2815 @t378)) (tptp.hBOOL (tptp.hAPP @t2986 @t2815))))) % 6.34/6.56 (assume @p2258 (forall @t3046 (= (= @t3045 @t3044) @t3029))) % 6.34/6.56 (assume @p2259 (forall @t2779 (= @t3049 (tptp.hBOOL (tptp.hAPP @t3048 @t3047))))) % 6.34/6.56 (assume @p2260 (forall @t3033 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3032) @t3031)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2474) @t3028))))) % 6.34/6.56 (assume @p2261 (forall @t363 (= @t3051 @t3050))) % 6.34/6.56 (assume @p2262 (forall @t363 (=> @t3051 @t3050))) % 6.34/6.56 (assume @p2263 (forall @t3025 (=> @t2988 (= @t3052 @t2503)))) % 6.34/6.56 (assume @p2264 (forall @t3025 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2825) @t1473)) (and @t2991 @t2503)))) % 6.34/6.56 (assume @p2265 (forall @t3056 (and @t3055 (=> @t2992 (= @t3054 (tptp.hAPP @t2818 @t2585)))))) % 6.34/6.56 (assume @p2266 (forall @t3056 @t3055)) % 6.34/6.56 (assume @p2267 (forall (@list @t2981 @t378 @t30) (= (tptp.hBOOL (tptp.hAPP @t2986 @t2982)) (= @t2981 @t2949)))) % 6.34/6.56 (assume @p2268 (forall @t3046 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2744 @t3045) @t3044)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3057 @t2474) @t3028))))) % 6.34/6.56 (assume @p2269 (forall @t2826 (=> @t2988 (= (tptp.hAPP @t3053 @t2819) @t1235)))) % 6.34/6.56 (assume @p2270 (forall @t2824 (=> @t3003 (= @t2920 @t1235)))) % 6.34/6.56 (assume @p2271 (forall @t2994 (= @t3052 (and (=> @t2987 @t3058) @t2989)))) % 6.34/6.56 (assume @p2272 (forall @t2994 (=> @t3058 (=> @t2987 @t3052)))) % 6.34/6.56 (assume @p2273 (forall (@list @t696 @t378 @t2474 @t127 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t30 @t127 @t2474) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t3048 @t2474))))) % 6.34/6.56 (assume @p2274 (forall @t3060 (=> @t2987 (=> (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t2 @t628 @t2990 @t696) (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t2 @t628 @t1235 @t3059))))) % 6.34/6.56 (assume @p2275 (forall @t2036 (= (tptp.c_Nitpick_Orefl_H @t30 @t2033) (forall @t8 @t3067)))) % 6.34/6.56 (assume @p2276 (forall @t3070 (and (=> @t3069 (= @t3068 @t64)) (=> (not @t3069) (= @t3068 (tptp.c_HOL_OThe @t30 (tptp.hAPP @t3030 (tptp.hAPP @t2584 @t2835)))))))) % 6.34/6.56 (assume @p2277 (forall @t2779 (not @t3049))) % 6.34/6.56 (assume @p2278 (forall (@list @t1473 @t30 @t1235) (=> (= @t1235 @t3073) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t1235) @t1473))))) % 6.34/6.56 (assume @p2279 (forall @t3074 (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t2 @t628 @t2815 @t628))) % 6.34/6.56 (assume @p2280 (forall (@list @t83 @t84 @t127 @t30) (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t84 @t83 @t2815 @t83))) % 6.34/6.56 (assume @p2281 (forall (@list @t2 @t696 @t378 @t30) (= (tptp.hBOOL (tptp.hAPP @t3079 @t3077)) @t3075))) % 6.34/6.56 (assume @p2282 (forall @t3083 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t668) @t2433)) (=> @t3082 @t3081)))) % 6.34/6.56 (assume @p2283 (forall @t3083 (=> @t3075 @t3081))) % 6.34/6.56 (assume @p2284 (forall @t1992 (=> @t1626 (=> (tptp.hBOOL (tptp.hAPP @t1880 @t625)) (tptp.hBOOL (tptp.hAPP @t3085 @t3084)))))) % 6.34/6.56 (assume @p2285 (forall @t1809 (=> @t180 (tptp.hBOOL (tptp.hAPP @t3086 @t3084))))) % 6.34/6.56 (assume @p2286 (forall @t745 (=> @t180 (=> @t3089 (=> @t3088 (tptp.hBOOL (tptp.hAPP @t3087 @t3084))))))) % 6.34/6.56 (assume @p2287 (forall @t745 (=> @t180 (=> @t3089 (=> @t3088 (tptp.hBOOL (tptp.hAPP @t3090 @t3084))))))) % 6.34/6.56 (assume @p2288 (forall @t1809 (=> @t180 (tptp.hBOOL (tptp.hAPP @t3091 @t3084))))) % 6.34/6.56 (assume @p2289 (forall @t619 (=> @t180 (tptp.hBOOL (tptp.hAPP @t3092 @t3084))))) % 6.34/6.56 (assume @p2290 (forall @t359 (=> @t587 (=> @t3096 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t3094) @t352)) @t585))))) % 6.34/6.56 (assume @p2291 (forall (@list @t112 @t84 @t83 @t113 @t88 @t127 @t30) (= (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t88 @t113 @t83 @t3099) (or (and @t3100 (= @t3099 @t113)) (exists @t2509 (and (= @t3099 (tptp.hAPP (tptp.hAPP @t88 @t4) @t412)) (tptp.hBOOL (tptp.hAPP @t2789 @t83)) (tptp.c_Nitpick_Ofold__graph_H @t30 @t127 @t88 @t113 (tptp.hAPP (tptp.hAPP @t2583 @t83) @t3098) @t412))))))) % 6.34/6.56 (assume @p2292 (forall (@list @t61 @t2033 @t458 @t444 @t64 @t140 @t127 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3106 (tptp.hAPP (tptp.hAPP @t3105 @t2413) @t2439)) (tptp.c_Wellfounded_Olex__prod @t30 @t127 @t2033 @t61))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3104 @t444)) @t2033)) (and @t445 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3101 @t64) @t458)) @t61))))))) % 6.34/6.56 (assume @p2293 (forall @t3113 (=> @t3112 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t61) @t69)) @t3111)))) % 6.34/6.56 (assume @p2294 (forall @t1809 (=> @t2346 (tptp.hBOOL (tptp.hAPP @t3086 @t3095))))) % 6.34/6.56 (assume @p2295 (forall @t745 (=> @t2346 (=> @t3096 (=> @t3114 (tptp.hBOOL (tptp.hAPP @t3087 @t3095))))))) % 6.34/6.56 (assume @p2296 (forall @t745 (=> @t2346 (=> @t3096 (=> @t3114 (tptp.hBOOL (tptp.hAPP @t3090 @t3095))))))) % 6.34/6.56 (assume @p2297 (forall @t745 (=> @t2346 (=> @t3096 (=> @t3114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t1477) @t3095))))))) % 6.34/6.56 (assume @p2298 (forall @t1992 (=> @t1626 (tptp.hBOOL (tptp.hAPP @t3085 @t3095))))) % 6.34/6.56 (assume @p2299 (forall @t1809 (=> @t2346 (tptp.hBOOL (tptp.hAPP @t3091 @t3095))))) % 6.34/6.56 (assume @p2300 (forall @t359 (=> @t2346 (=> @t3096 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t741) @t3095)))))) % 6.34/6.56 (assume @p2301 (forall @t619 (=> @t2346 (tptp.hBOOL (tptp.hAPP @t3092 @t3095))))) % 6.34/6.56 (assume @p2302 (forall @t1795 (=> @t2346 (=> @t3096 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t1793) @t3095)))))) % 6.34/6.56 (assume @p2303 (forall @t707 (=> @t2346 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t706) @t3095))))) % 6.34/6.56 (assume @p2304 (forall @t359 (=> @t757 (=> @t3096 @t357)))) % 6.34/6.56 (assume @p2305 (forall @t3113 (=> @t1579 @t3111))) % 6.34/6.56 (assume @p2306 (forall @t359 (=> @t757 (=> @t3096 (not (= @t3094 @t352)))))) % 6.34/6.56 (assume @p2307 (forall (@list @t30 @t2474 @t696 @t3116 @t127 @t378 @t27) (=> @t2750 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3101 @t3116) @t696)) @t3117)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3106 (tptp.hAPP (tptp.hAPP @t3105 (tptp.hAPP @t2434 @t3116)) @t2769)) @t3115)))))) % 6.34/6.56 (assume @p2308 (forall @t3113 (=> @t3112 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t61) @t69)) @t3118)))) % 6.34/6.56 (assume @p2309 (forall (@list @t164 @t378 @t141 @t696) (=> (tptp.hBOOL (tptp.hAPP @t3129 @t141)) (=> @t3127 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3124 (tptp.hAPP @t3125 @t141)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3124 (tptp.hAPP (tptp.hAPP @t3122 (tptp.hAPP @t3120 @t164)) @t141)) tptp.c_FunDef_Omax__strict))))))) % 6.34/6.56 (assume @p2310 (forall @t3137 (=> @t3136 (=> @t3127 (=> (tptp.hBOOL (tptp.hAPP @t3135 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t3134 tptp.c_FunDef_Omin__strict))))))) % 6.34/6.56 (assume @p2311 (forall @t3140 (=> (not (= @t164 @t3138)) (tptp.hBOOL (tptp.hAPP @t3139 tptp.c_FunDef_Omin__strict))))) % 6.34/6.56 (assume @p2312 (forall @t3113 (=> @t1579 @t3118))) % 6.34/6.56 (assume @p2313 (forall @t3137 (=> @t3136 (=> @t3141 (=> (tptp.hBOOL (tptp.hAPP @t3135 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t3134 tptp.c_FunDef_Omin__weak))))))) % 6.34/6.56 (assume @p2314 (forall (@list @t3132 @t378 @t3130 @t696) (=> (tptp.hBOOL (tptp.hAPP @t3129 @t3130)) (=> @t3141 (=> (tptp.hBOOL (tptp.hAPP @t3135 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3124 (tptp.hAPP (tptp.hAPP @t3122 (tptp.hAPP @t3120 @t3132)) @t3130)) tptp.c_FunDef_Omax__weak))))))) % 6.34/6.56 (assume @p2315 (forall @t3140 (tptp.hBOOL (tptp.hAPP @t3139 tptp.c_FunDef_Omin__weak)))) % 6.34/6.56 (assume @p2316 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t2422 tptp.c_FunDef_Opair__less))) % 6.34/6.56 (assume @p2317 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t3145 (tptp.c_Wellfounded_Omin__ext @t2422 tptp.c_FunDef_Opair__leq)) @t3144))) % 6.34/6.56 (assume @p2318 (tptp.c_FunDef_Oreduction__pair @t3121 (tptp.hAPP (tptp.hAPP @t3146 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 6.34/6.56 (assume @p2319 (tptp.c_FunDef_Oreduction__pair @t3121 (tptp.hAPP (tptp.hAPP @t3146 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 6.34/6.56 (assume @p2320 (forall @t700 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3128 @t2421) tptp.c_Wellfounded_Oless__than)) @t697))) % 6.34/6.56 (assume @p2321 (forall @t3027 (=> @t3151 (=> (not @t2837) @t3147)))) % 6.34/6.56 (assume @p2322 (forall (@list @t30 @t1235 @t378 @t1473) (=> (=> @t3152 @t2837) @t3151))) % 6.34/6.56 (assume @p2323 (forall @t3014 (=> @t3153 @t2999))) % 6.34/6.56 (assume @p2324 (forall @t3154 (=> (=> @t3000 @t2997) @t3153))) % 6.34/6.56 (assume @p2325 (forall @t875 (=> (tptp.class_Lattices_Obounded__lattice__bot @t30) (= (= @t3157 @t2847) (and (= @t378 @t2847) (= @t696 @t2847)))))) % 6.34/6.56 (assume @p2326 (forall @t436 (=> @t3160 (= (tptp.hAPP @t3159 @t2925) @t136)))) % 6.34/6.56 (assume @p2327 (forall @t436 (=> @t3160 (= (tptp.hAPP (tptp.hAPP @t3158 @t2925) @t136) @t136)))) % 6.34/6.56 (assume @p2328 (forall @t2504 (= (= @t3150 @t2815) (and @t2820 @t3161)))) % 6.34/6.56 (assume @p2329 (forall @t2602 (= (tptp.hAPP @t3149 @t2815) @t1235))) % 6.34/6.56 (assume @p2330 (forall @t3162 (= (tptp.hAPP (tptp.hAPP @t3148 @t2815) @t1473) @t1473))) % 6.34/6.56 (assume @p2331 (forall @t2653 (=> @t3167 (=> @t3166 @t2652)))) % 6.34/6.56 (assume @p2332 (forall @t1679 (=> @t3167 (=> @t1217 (=> @t2540 (tptp.hBOOL (tptp.hAPP @t3165 (tptp.hAPP (tptp.hAPP @t3158 @t111) @t384)))))))) % 6.34/6.56 (assume @p2333 (forall @t1197 (=> @t3167 (=> @t1195 (=> @t1222 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t3169) @t136))))))) % 6.34/6.56 (assume @p2334 (forall @t2532 (=> @t3167 (=> @t2531 (=> @t2533 @t3166))))) % 6.34/6.56 (assume @p2335 (forall @t1221 (=> @t3167 (=> @t1195 (= @t3170 @t136))))) % 6.34/6.56 (assume @p2336 (forall @t658 (=> @t3167 (=> @t1185 (= @t3170 @t135))))) % 6.34/6.56 (assume @p2337 (forall @t2643 (=> @t3167 (=> @t2536 @t3171)))) % 6.34/6.56 (assume @p2338 (forall @t2537 (=> @t3167 (=> @t996 @t3171)))) % 6.34/6.56 (assume @p2339 (forall @t2525 (=> @t3172 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3157) @t628)) @t2648)))) % 6.34/6.56 (assume @p2340 (forall @t875 (=> @t3172 (= @t1213 (= @t3157 @t696))))) % 6.34/6.56 (assume @p2341 (forall @t1221 (=> @t3167 @t3173))) % 6.34/6.56 (assume @p2342 (forall @t1221 (=> @t3174 @t3173))) % 6.34/6.56 (assume @p2343 (forall @t658 (=> @t3167 @t3175))) % 6.34/6.56 (assume @p2344 (forall @t658 (=> @t3174 @t3175))) % 6.34/6.56 (assume @p2345 (forall @t3179 (=> @t2590 (=> @t3178 (tptp.hBOOL (tptp.hAPP @t3177 (tptp.hAPP @t3176 @t2587))))))) % 6.34/6.56 (assume @p2346 (forall @t3180 (=> @t2590 (=> @t2592 (tptp.hBOOL (tptp.hAPP @t3177 @t2588)))))) % 6.34/6.56 (assume @p2347 (forall @t3181 (=> @t2501 (= @t3150 @t1235)))) % 6.34/6.56 (assume @p2348 (forall @t2504 (=> @t2503 @t3182))) % 6.34/6.56 (assume @p2349 (forall @t2504 (= @t2503 @t3182))) % 6.34/6.56 (assume @p2350 (forall @t3181 (tptp.hBOOL (tptp.hAPP @t2500 @t3150)))) % 6.34/6.56 (assume @p2351 (forall @t2504 (tptp.hBOOL (tptp.hAPP @t2502 @t3150)))) % 6.34/6.56 (assume @p2352 (forall (@list @t1473 @t30 @t378 @t1235) (=> @t2837 @t3151))) % 6.34/6.56 (assume @p2353 (forall (@list @t1235 @t30 @t378 @t1473) (=> @t3147 @t3151))) % 6.34/6.56 (assume @p2354 (forall @t2504 (= @t3184 @t3150))) % 6.34/6.56 (assume @p2355 (forall @t3181 (= (tptp.hAPP (tptp.hAPP @t3148 @t3183) @t1235) @t3186))) % 6.34/6.56 (assume @p2356 (forall @t2593 (= (tptp.hAPP (tptp.hAPP @t2583 @t3150) @t2588) (tptp.hAPP (tptp.hAPP @t3148 @t3188) @t3187)))) % 6.34/6.56 (assume @p2357 (forall @t2602 (= (tptp.hAPP @t3149 @t1235) @t1235))) % 6.34/6.56 (assume @p2358 (forall @t2504 (= @t3150 @t3186))) % 6.34/6.56 (assume @p2359 (forall @t2504 (= (tptp.hAPP @t3149 @t3150) @t3150))) % 6.34/6.56 (assume @p2360 (forall @t2593 (= @t3191 (tptp.hAPP @t3185 @t3189)))) % 6.34/6.56 (assume @p2361 (forall @t2593 (= (tptp.hAPP (tptp.hAPP @t3148 @t3150) @t2588) @t3191))) % 6.34/6.56 (assume @p2362 (forall @t3193 (= (exists @t8 (and @t3192 @t1059)) (or (exists @t8 (and @t3020 @t1059)) (exists @t8 (and @t2790 @t1059)))))) % 6.34/6.56 (assume @p2363 (forall @t3193 (= (forall @t8 (=> @t3192 @t1059)) (and (forall @t8 (=> @t3020 @t1059)) (forall @t8 (=> @t2790 @t1059)))))) % 6.34/6.56 (assume @p2364 (forall @t369 (=> @t3167 (= (tptp.hAPP @t3163 @t278) @t278)))) % 6.34/6.56 (assume @p2365 (forall @t436 (=> @t3167 @t3194))) % 6.34/6.56 (assume @p2366 (forall @t579 (=> @t3167 (= @t3164 (tptp.hAPP @t3195 @t278))))) % 6.34/6.56 (assume @p2367 (forall @t658 (=> @t3174 @t3197))) % 6.34/6.56 (assume @p2368 (forall @t658 (=> @t3167 @t3197))) % 6.34/6.56 (assume @p2369 (forall @t579 (=> @t3167 (= (tptp.hAPP @t3163 @t3164) @t3164)))) % 6.34/6.56 (assume @p2370 (forall @t658 (=> @t3174 @t3198))) % 6.34/6.56 (assume @p2371 (forall @t658 (=> @t3167 @t3198))) % 6.34/6.56 (assume @p2372 (forall @t410 (=> @t3167 (= (tptp.hAPP @t3195 (tptp.hAPP @t3163 @t111)) @t3199)))) % 6.34/6.56 (assume @p2373 (forall @t830 (=> @t3174 @t3202))) % 6.34/6.56 (assume @p2374 (forall @t830 (=> @t3167 @t3202))) % 6.34/6.56 (assume @p2375 (forall @t396 (=> @t3167 (= (tptp.hAPP (tptp.hAPP @t3158 @t3164) @t111) @t3199)))) % 6.34/6.56 (assume @p2376 (forall @t830 (=> @t3174 @t3203))) % 6.34/6.56 (assume @p2377 (forall @t830 (=> @t3167 @t3203))) % 6.34/6.56 (assume @p2378 (forall @t3205 (=> @t3204 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1237) @t2) @t1) @t378) (tptp.hAPP (tptp.hAPP @t3155 @t668) @t1214))))) % 6.34/6.56 (assume @p2379 (forall @t2537 (=> @t3167 (=> @t1004 @t3206)))) % 6.34/6.56 (assume @p2380 (forall @t2643 (=> @t3167 (=> @t2642 @t3206)))) % 6.34/6.56 (assume @p2381 (forall @t436 (=> @t3174 @t3194))) % 6.34/6.56 (assume @p2382 (forall @t1809 (=> (and @t3172 @t1228) (= @t3155 @t2644)))) % 6.34/6.56 (assume @p2383 (forall (@list @t2588 @t1473 @t140 @t30) (= (tptp.hAPP (tptp.hAPP @t3148 @t2910) @t2588) (tptp.hAPP @t2822 @t3190)))) % 6.34/6.56 (assume @p2384 (forall @t2918 (= (tptp.hAPP @t3149 @t2910) (tptp.hAPP @t2822 @t3150)))) % 6.34/6.56 (assume @p2385 (forall @t3014 (= @t3153 (or @t2997 @t2996)))) % 6.34/6.56 (assume @p2386 (forall @t3014 (=> @t2997 @t3153))) % 6.34/6.56 (assume @p2387 (forall @t3154 (=> @t2996 @t3153))) % 6.34/6.56 (assume @p2388 (forall @t3207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3148 @t3032) @t3031) @t378)) (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t3148 @t2474) @t3028)))))) % 6.34/6.56 (assume @p2389 (forall @t2824 (= @t2823 (tptp.hAPP (tptp.hAPP @t3148 @t2839) @t1235)))) % 6.34/6.56 (assume @p2390 (forall @t2593 (= (tptp.hBOOL (tptp.hAPP @t2586 @t2588)) (tptp.hBOOL (tptp.hAPP @t2502 @t3190))))) % 6.34/6.56 (assume @p2391 (forall @t2504 (=> @t2503 (= @t3184 @t1473)))) % 6.34/6.56 (assume @p2392 (forall @t2504 (= (tptp.hAPP @t2599 @t2585) (tptp.hAPP @t3208 @t1473)))) % 6.34/6.56 (assume @p2393 (= 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))) % 6.34/6.56 (assume @p2394 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t3145 (tptp.c_Wellfounded_Omax__ext @t2422 tptp.c_FunDef_Opair__leq)) @t3144))) % 6.34/6.56 (assume @p2395 (forall (@list @t2474 @t2 @t30) (= @t3080 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t3209 @t30) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t30 tptp.c_Wellfounded_Oless__than @t2474)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t30 @t3209) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t30 @t3209) @t30) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t30)) @t2)) @t2221))))) % 6.34/6.56 (assume @p2396 (forall @t3214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3109 (tptp.hAPP (tptp.hAPP @t3107 @t2421) @t3213)) tptp.c_Int_Ointrel)) (= @t3212 @t3210)))) % 6.34/6.56 (assume @p2397 (forall @t3217 (=> @t3216 (tptp.c_FunDef_Oreduction__pair @t127 (tptp.hAPP (tptp.hAPP @t3215 @t27) @t2))))) % 6.34/6.56 (assume @p2398 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2621)) % 6.34/6.56 (assume @p2399 (forall @t3228 (= @t3215 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3071 @t3071 @t3224) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3071 @t3227 @t3226) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3225 (tptp.tc_fun @t3227 @t3226) @t3071) (tptp.c_COMBB @t3223 @t3224 @t3071)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3222 @t3225 @t3071) (tptp.c_COMBS @t1237 @t3219 @t3220)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3223 @t3222 @t3071) (tptp.hAPP (tptp.c_COMBB @t3219 @t3221 @t1237) (tptp.c_Product__Type_OPair @t3219 @t3219))) @t3218)))) @t3218))))) % 6.34/6.56 (assume @p2400 (forall @t3231 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3230 @t3045) @t3044) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t3048 (tptp.hAPP (tptp.hAPP @t3229 @t2474) @t3028)))))) % 6.34/6.56 (assume @p2401 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t2422 tptp.c_FunDef_Opair__less))) % 6.34/6.56 (assume @p2402 (forall (@list @t2587 @t2588 @t2474 @t1473 @t1235 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3236 @t3232)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t2588) @t2587)) @t3232)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t3189) (tptp.hAPP @t3185 @t2587))) @t3232)))))) % 6.34/6.56 (assume @p2403 (forall (@list @t3237 @t378 @t2474 @t30) (= (tptp.c_Wellfounded_Omax__extp @t30 (tptp.hAPP @t3243 @t2474) @t378 @t3237) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t378) @t3237)) @t3232))))) % 6.34/6.56 (assume @p2404 (forall (@list @t2 @t2033 @t127 @t696 @t378 @t30) (= (tptp.hBOOL (tptp.hAPP @t3079 @t3245)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3101 @t668) @t2433)) @t2033))))) % 6.34/6.56 (assume @p2405 (forall (@list @t183 @t3246 @t21 @t27 @t52 @t30) (=> @t3254 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) @t183) @t3246)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t27 @t183)) @t185) (tptp.hAPP @t21 @t183))) @t2794)))))) % 6.34/6.56 (assume @p2406 (forall @t3255 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t30 @t3253 @t3251) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t30 @t52 @t3252)))) % 6.34/6.56 (assume @p2407 (forall @t3259 (=> @t3258 (=> (not @t3257) @t3256)))) % 6.34/6.56 (assume @p2408 (forall (@list @t127 @t30 @t1235 @t696 @t378 @t1473) (=> (=> @t3260 @t3257) @t3258))) % 6.34/6.56 (assume @p2409 (forall (@list @t30 @t1235 @t127 @t378 @t2 @t64) (=> @t3266 (=> @t3265 (tptp.hBOOL (tptp.hAPP @t3036 @t3262)))))) % 6.34/6.56 (assume @p2410 (forall (@list @t1473 @t127 @t30 @t696 @t378 @t1235) (=> @t3257 @t3258))) % 6.34/6.56 (assume @p2411 (forall (@list @t1235 @t127 @t30 @t696 @t378 @t1473) (=> @t3256 @t3258))) % 6.34/6.56 (assume @p2412 (forall @t3271 (= (tptp.hAPP @t3261 @t3270) (tptp.hAPP (tptp.hAPP @t3148 @t3262) @t3267)))) % 6.34/6.56 (assume @p2413 (forall @t3278 (=> @t2503 @t3277))) % 6.34/6.56 (assume @p2414 (forall (@list @t1235 @t2 @t127 @t1473 @t30) (= @t3280 (exists (@list @t3279) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t3279) @t1235)) (= @t1473 (tptp.hAPP @t3261 @t3279))))))) % 6.34/6.56 (assume @p2415 (forall (@list @t1235 @t1 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t3261 (tptp.hAPP @t3282 @t1235)) (tptp.hAPP (tptp.c_Set_Oimage @t465 @t30 (tptp.hAPP (tptp.hAPP @t3281 @t2) @t1)) @t1235)))) % 6.34/6.56 (assume @p2416 (forall (@list @t1235 @t2 @t127 @t628 @t30) (= (tptp.hBOOL (tptp.hAPP @t3018 @t3262)) (exists @t8 (and @t3284 (= @t628 @t6)))))) % 6.34/6.56 (assume @p2417 (forall @t3285 (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3263 @t668) @t3274))))) % 6.34/6.56 (assume @p2418 (forall (@list @t127 @t2 @t64 @t1235 @t378 @t30) (=> @t2987 (=> @t3266 (tptp.hBOOL (tptp.hAPP @t3286 @t3274)))))) % 6.34/6.56 (assume @p2419 (forall (@list @t1473 @t140 @t2 @t30 @t127) (= (tptp.hAPP @t3261 @t3289) (tptp.hAPP (tptp.hAPP @t2817 @t2416) @t3267)))) % 6.34/6.56 (assume @p2420 (forall @t3292 (= (= @t2815 @t3262) @t3291))) % 6.34/6.56 (assume @p2421 (forall @t3293 (= (tptp.hAPP @t3261 @t3290) @t2815))) % 6.34/6.56 (assume @p2422 (forall @t3294 (= (= @t3262 @t2815) @t3291))) % 6.34/6.56 (assume @p2423 (forall @t3285 (=> @t2987 (= (tptp.hAPP (tptp.hAPP @t3287 @t668) @t3274) @t3274)))) % 6.34/6.56 (assume @p2424 (forall @t3298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP (tptp.hAPP @t2583 @t3262) @t3267)) (tptp.hAPP @t3261 @t3297))))) % 6.34/6.56 (assume @p2425 (forall @t3302 (and (=> @t2820 (= @t3300 @t3290)) (=> @t3022 @t3301)))) % 6.34/6.56 (assume @p2426 (forall (@list @t25 @t127 @t1235 @t378 @t30) (=> @t2987 @t3301))) % 6.34/6.56 (assume @p2427 (forall @t1809 (= @t3076 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t30) tptp.c_Wellfounded_Oless__than)))) % 6.34/6.56 (assume @p2428 (forall @t3255 (=> @t3254 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t3252)))) % 6.34/6.56 (assume @p2429 (forall @t2036 (= (tptp.c_Relation_Oirrefl @t30 @t2033) @t3303))) % 6.34/6.56 (assume @p2430 (forall @t3308 (= (tptp.hAPP @t3304 (tptp.hAPP (tptp.hAPP @t3307 @t3306) @t2033)) (tptp.hAPP (tptp.hAPP @t3148 @t2836) @t3305)))) % 6.34/6.56 (assume @p2431 (forall @t700 (= (= (tptp.hAPP @t3309 (tptp.hAPP @t3120 @t3138)) (tptp.hAPP @t3309 (tptp.hAPP @t3131 @t3138))) (tptp.hBOOL (tptp.hAPP @t3126 tptp.c_Int_Ointrel))))) % 6.34/6.56 (assume @p2432 (forall @t3313 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t30 @t3312) @t378)) @t3311))) % 6.34/6.56 (assume @p2433 (forall (@list @t2 @t465 @t1235 @t64 @t140 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3315 @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3314 @t2417) (tptp.hAPP (tptp.c_Set_Oimage @t2450 @t465 @t2786) @t1235)))))) % 6.34/6.56 (assume @p2434 (forall (@list @t1473 @t1235 @t2474 @t30 @t127) (= (tptp.hAPP @t3316 @t3270) (tptp.hAPP @t3319 @t3317)))) % 6.34/6.56 (assume @p2435 (forall @t3326 (= (tptp.hAPP (tptp.hAPP @t3325 @t1235) @t1473) (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t3323 @t3322) @t3321))))) % 6.34/6.56 (assume @p2436 (forall @t3326 (= (tptp.hBOOL (tptp.hAPP @t3329 @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3327 @t3322) @t3321))))) % 6.34/6.56 (assume @p2437 (forall @t3330 (= (tptp.hAPP @t3324 @t3322) @t1235))) % 6.34/6.56 (assume @p2438 (forall @t3326 (= @t2499 (= @t3322 @t3321)))) % 6.34/6.56 (assume @p2439 (forall @t3326 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3332 @t1235) @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3331 @t3322) @t3321))))) % 6.34/6.56 (assume @p2440 (forall @t3336 (= (tptp.hBOOL (tptp.hAPP @t3335 @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3333 @t699) @t3322))))) % 6.34/6.56 (assume @p2441 (forall @t3337 (= (tptp.hAPP @t3316 @t3290) @t2815))) % 6.34/6.56 (assume @p2442 (= @t3339 (tptp.hAPP @t3324 @t3338))) % 6.34/6.56 (assume @p2443 (= @t3338 (tptp.hAPP @t3320 @t3339))) % 6.34/6.56 (assume @p2444 (forall (@list @t1235 @t3342 @t2033 @t3343 @t127 @t30) (=> @t3344 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3342) @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 (tptp.hAPP (tptp.c_Relation_OImage @t30 @t127 @t3343) @t3342)) @t3341)))))) % 6.34/6.56 (assume @p2445 (forall (@list @t1235 @t3028 @t2474 @t30 @t127) (= (tptp.hAPP (tptp.c_Relation_OImage @t127 @t30 (tptp.hAPP (tptp.hAPP @t3346 @t2474) @t3028)) @t1235) (tptp.hAPP @t3319 (tptp.hAPP (tptp.c_Relation_OImage @t127 @t30 @t3028) @t1235))))) % 6.34/6.56 (assume @p2446 (forall @t2375 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t2369) @t2370)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.c_Wellfounded_Oacc @t30 @t2370)) (tptp.c_Wellfounded_Oacc @t30 @t2369)))))) % 6.34/6.56 (assume @p2447 (forall (@list @t2033 @t64 @t127 @t1235 @t140 @t30) (=> @t3003 (=> @t3347 (tptp.hBOOL (tptp.hAPP @t3286 @t3341)))))) % 6.34/6.56 (assume @p2448 (forall @t3354 (= @t3353 (exists @t8 (and @t3284 @t3350))))) % 6.34/6.56 (assume @p2449 (forall @t1809 (= (tptp.hAPP @t3304 @t3073) @t2815))) % 6.34/6.56 (assume @p2450 (forall @t3358 (=> @t3357 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3305) @t3355))))) % 6.34/6.56 (assume @p2451 (forall @t3358 (= (tptp.hAPP @t3304 @t3361) (tptp.hAPP (tptp.hAPP @t3148 @t3305) @t3355)))) % 6.34/6.56 (assume @p2452 (forall (@list @t140 @t2033 @t64 @t30) (=> @t3365 (=> @t3364 @t3362)))) % 6.34/6.56 (assume @p2453 (forall @t3367 (= @t3362 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3062 @t140)) @t2033)) @t3366))))) % 6.34/6.56 (assume @p2454 (forall (@list @t140 @t2033 @t127 @t64 @t30) (= (tptp.hBOOL (tptp.hAPP @t3036 @t3371)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 @t3369) @t2033))))) % 6.34/6.56 (assume @p2455 (forall (@list @t1545 @t178 @t30) (=> @t2346 (= (tptp.hAPP @t705 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP (tptp.hAPP @t2204 @t178) @t1545)) @t3138)))) (tptp.hAPP (tptp.hAPP @t1475 (tptp.hAPP @t616 @t178)) (tptp.hAPP @t616 @t1545)))))) % 6.34/6.56 (assume @p2456 (= @t901 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP (tptp.hAPP @t2204 @t933) @t214)) @t3138))))) % 6.34/6.56 (assume @p2457 (forall @t3214 (= (tptp.hAPP (tptp.hAPP @t710 @t3375) @t3374) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP (tptp.hAPP @t2204 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t3373 @t1586)) (tptp.hAPP @t3372 @t1684))) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t3373 @t1684)) (tptp.hAPP @t3372 @t1586)))) @t3138)))))) % 6.34/6.56 (assume @p2458 (forall @t3214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t3375) @t3374)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t3212) @t3210))))) % 6.34/6.56 (assume @p2459 (forall @t700 (= (tptp.hAPP @t713 @t3375) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP (tptp.hAPP @t2204 @t696) @t378)) @t3138)))))) % 6.34/6.56 (assume @p2460 (= @t636 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP @t2209 @t214)) @t3138))))) % 6.34/6.56 (assume @p2461 (forall @t2023 (= @t634 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP @t3376 @t214)) @t3138)))))) % 6.34/6.56 (assume @p2462 (forall @t3214 (= (tptp.hAPP (tptp.hAPP @t626 @t3375) @t3374) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 (tptp.hAPP (tptp.hAPP @t2204 (tptp.hAPP @t3211 @t1586)) (tptp.hAPP (tptp.hAPP @t301 @t696) @t1684))) @t3138)))))) % 6.34/6.56 (assume @p2463 (forall @t700 (= (tptp.hAPP tptp.c_Int_Onat @t3375) @t1526))) % 6.34/6.56 (assume @p2464 (forall @t3214 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t3375) @t3374)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t3212) @t3210))))) % 6.34/6.56 (assume @p2465 (forall @t3326 (=> @t3381 (=> @t3380 (= @t3379 (tptp.hAPP @t3320 (tptp.hAPP (tptp.hAPP @t3325 @t3378) @t3377))))))) % 6.34/6.56 (assume @p2466 (forall @t720 (not (forall @t2509 (not (= @t628 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t3309 (tptp.hAPP (tptp.hAPP @t3119 @t2508) @t3138))))))))) % 6.34/6.56 (assume @p2467 (forall @t3326 (=> @t3381 (=> @t3380 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3331 @t1235) @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3332 @t3378) @t3377))))))) % 6.34/6.56 (assume @p2468 (forall @t3326 (=> @t3381 (=> @t3380 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3327 @t1235) @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3328 @t3378) @t3377))))))) % 6.34/6.56 (assume @p2469 (tptp.c_Nat__Transfer_Onat__set @t3338)) % 6.34/6.56 (assume @p2470 (forall @t3326 (=> @t3381 (=> @t3380 (tptp.c_Nat__Transfer_Onat__set @t3379))))) % 6.34/6.56 (assume @p2471 (forall (@list @t3028) (= (tptp.c_Nat__Transfer_Onat__set @t3028) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3382 @t3028)) @t1060))))) % 6.34/6.56 (assume @p2472 (forall (@list @t2588) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t3320 @t2588)))) % 6.34/6.56 (assume @p2473 (forall @t3326 (=> @t3381 (=> @t3380 (= @t2499 (= @t3378 @t3377)))))) % 6.34/6.56 (assume @p2474 (forall @t3384 (=> @t3381 (=> @t3383 @t2113)))) % 6.34/6.56 (assume @p2475 (forall @t3384 (=> @t3381 (=> @t3383 @t1068)))) % 6.34/6.56 (assume @p2476 (forall @t3330 (=> @t3381 (= (tptp.hAPP @t3320 @t3378) @t1235)))) % 6.34/6.56 (assume @p2477 (forall @t3336 (=> @t2113 (=> @t3381 (= @t3383 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3334 @t1066) @t3378))))))) % 6.34/6.56 (assume @p2478 (forall @t3354 (=> @t3353 (not (forall @t8 (=> @t3350 (not @t3284))))))) % 6.34/6.56 (assume @p2479 (forall (@list @t140 @t64 @t2033 @t1235 @t30) (=> @t3389 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3388) @t3387)) @t3385)))) % 6.34/6.56 (assume @p2480 (forall @t3140 (=> (tptp.hBOOL (tptp.hAPP @t3390 @t164)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3124 (tptp.hAPP @t3143 @t164)) tptp.c_FunDef_Omax__weak))))) % 6.34/6.56 (assume @p2481 (forall (@list @t141) (=> (tptp.hBOOL (tptp.hAPP @t3390 @t141)) (=> (not (= @t141 @t3138)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3124 (tptp.hAPP @t3143 @t141)) tptp.c_FunDef_Omax__strict)))))) % 6.34/6.56 (assume @p2482 (forall @t2036 (=> @t3393 (tptp.hBOOL (tptp.hAPP @t3391 @t3305))))) % 6.34/6.56 (assume @p2483 (forall @t3394 (=> @t3389 (=> @t3003 (tptp.hBOOL (tptp.hAPP @t3002 @t3387)))))) % 6.34/6.56 (assume @p2484 (forall @t3396 (=> @t3389 (=> @t3364 @t3395)))) % 6.34/6.56 (assume @p2485 (forall @t3401 (=> @t3389 (= @t3400 (and @t3399 @t2987 @t3035))))) % 6.34/6.56 (assume @p2486 (forall (@list @t1235 @t64 @t140 @t2033 @t30) (=> @t3395 (=> @t3389 @t3385)))) % 6.34/6.56 (assume @p2487 (forall @t3401 (=> @t3389 (=> @t2987 (=> @t3035 (= @t3399 @t3400)))))) % 6.34/6.56 (assume @p2488 (forall @t3396 (=> @t3389 (=> @t3364 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3387) @t3388)))))) % 6.34/6.56 (assume @p2489 (forall @t2504 (=> @t3403 @t3402))) % 6.34/6.56 (assume @p2490 (forall @t3408 (=> @t3407 (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP @t3405 @t3404)))))) % 6.34/6.56 (assume @p2491 (forall @t3410 (=> @t3403 @t3409))) % 6.34/6.56 (assume @p2492 (forall @t1809 (tptp.hBOOL (tptp.hAPP @t3391 @t2815)))) % 6.34/6.56 (assume @p2493 (forall @t3330 (= (tptp.hBOOL (tptp.hAPP @t3412 @t1235)) (tptp.hBOOL (tptp.hAPP @t3411 @t3322))))) % 6.34/6.56 (assume @p2494 (forall @t3330 (=> @t3381 (= (tptp.hBOOL (tptp.hAPP @t3411 @t1235)) (tptp.hBOOL (tptp.hAPP @t3412 @t3378)))))) % 6.34/6.56 (assume @p2495 (forall @t2602 (=> @t3413 @t3403))) % 6.34/6.56 (assume @p2496 (forall @t2824 (= @t3409 @t3403))) % 6.34/6.56 (assume @p2497 (forall @t3181 (=> @t3414 (=> @t2503 @t3403)))) % 6.34/6.56 (assume @p2498 (forall @t2504 (=> @t2503 (=> @t3414 @t3403)))) % 6.34/6.56 (assume @p2499 (forall @t3417 (= @t3416 (and @t3407 @t3415)))) % 6.34/6.56 (assume @p2500 (forall @t3417 (=> @t3407 (=> @t3415 @t3416)))) % 6.34/6.56 (assume @p2501 (forall @t3181 (=> @t3414 (= @t3402 @t3403)))) % 6.34/6.56 (assume @p2502 (forall (@list @t2 @t1473 @t127 @t1235 @t30) (=> @t3403 (=> @t3420 @t3418)))) % 6.34/6.56 (assume @p2503 (forall @t2918 (= (tptp.hBOOL (tptp.hAPP @t3391 @t2917)) @t3402))) % 6.34/6.56 (assume @p2504 (forall @t2504 (= (tptp.hBOOL (tptp.hAPP @t3236 @t3421)) (and @t2596 @t3414)))) % 6.34/6.56 (assume @p2505 (forall (@list @t21 @t27 @t2984 @t63 @t2985 @t52 @t127 @t3422 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3391 @t3422)) (=> (forall (@list @t3430) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t127 @t52 (tptp.hAPP (tptp.hAPP @t3432 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP @t2985 @t3430)) @t3431) (tptp.hAPP @t2984 @t3430))) @t3429)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t127 @t52 (tptp.hAPP (tptp.hAPP @t3432 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t128 (tptp.hAPP @t27 @t3430)) @t3431) (tptp.hAPP @t21 @t3430))) @t3429)))) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t127 @t52 (tptp.hAPP (tptp.c_Set_Oimage @t30 @t3423 (tptp.hAPP (tptp.hAPP @t3428 (tptp.hAPP (tptp.hAPP @t3427 (tptp.hAPP @t3426 @t2985)) @t63)) @t2984)) @t3422)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t127 @t52 (tptp.hAPP (tptp.c_Set_Oimage @t30 @t3423 (tptp.hAPP (tptp.hAPP @t3428 (tptp.hAPP (tptp.hAPP @t3427 (tptp.hAPP @t3426 @t27)) @t63)) @t21)) @t3422))))))) % 6.34/6.56 (assume @p2506 (forall @t3439 (=> @t3438 (=> @t3403 (=> @t2987 (and (=> @t3436 (= @t3435 @t378)) (=> @t3437 (= @t3435 @t3434)))))))) % 6.34/6.56 (assume @p2507 (forall @t3446 (=> @t3445 (=> @t3444 (=> @t3265 (= @t3435 @t3443)))))) % 6.34/6.56 (assume @p2508 (forall (@list @t3404 @t1 @t628 @t2 @t127 @t30) (=> @t3445 (= (tptp.hAPP @t3404 @t3290) @t628)))) % 6.34/6.56 (assume @p2509 (forall @t3447 (=> @t3438 (= (tptp.hAPP @t3404 @t2819) @t378)))) % 6.34/6.56 (assume @p2510 (forall @t3446 (=> @t3445 (=> @t3444 (=> (not @t3265) @t3451))))) % 6.34/6.56 (assume @p2511 (forall @t3439 (=> @t3438 (=> @t3403 (=> @t2988 @t3454))))) % 6.34/6.56 (assume @p2512 (forall @t3439 (=> @t3438 (=> @t3403 (and (=> @t3436 (= @t3453 @t378)) (=> @t3437 (= @t3453 @t3434))))))) % 6.34/6.56 (assume @p2513 (forall @t3446 (=> @t3445 (=> @t3444 (= @t3450 @t3443))))) % 6.34/6.56 (assume @p2514 (forall @t3459 (= @t3458 (exists @t478 (forall @t8 (=> @t3457 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t4) @t476)))))))) % 6.34/6.56 (assume @p2515 (forall @t3459 (= @t3458 (exists @t478 (forall @t8 (=> @t3457 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t4) @t476)))))))) % 6.34/6.56 (assume @p2516 (forall @t3401 (=> @t3389 (=> @t2987 (=> @t3035 (= (= @t3461 (tptp.hAPP (tptp.hAPP @t3460 @t3397) @t2033)) @t3400)))))) % 6.34/6.56 (assume @p2517 (forall (@list @t64 @t140 @t378 @t2033 @t1235 @t30) (=> @t3389 (=> (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t3462 @t3387) @t3388))) @t3364)))) % 6.34/6.56 (assume @p2518 (forall @t3027 (=> @t3465 (not (=> @t2837 @t3152))))) % 6.34/6.56 (assume @p2519 (forall (@list @t30 @t1473 @t378 @t1235) (=> @t2837 (=> @t3147 @t3465)))) % 6.34/6.56 (assume @p2520 (forall @t3014 (=> @t2997 (=> @t2996 @t3466)))) % 6.34/6.56 (assume @p2521 (forall @t3014 (=> @t3466 (not @t3001)))) % 6.34/6.56 (assume @p2522 (forall @t3417 (=> (or @t3407 @t3415) (tptp.hBOOL (tptp.hAPP @t3391 (tptp.hAPP (tptp.hAPP @t3462 @t3404) @t52)))))) % 6.34/6.56 (assume @p2523 (forall (@list @t141 @t164 @t2033 @t1235 @t30) (=> @t3389 (=> @t3472 (=> @t3470 (or @t3467 (= (tptp.hAPP (tptp.hAPP @t3462 @t164) @t141) @t2815))))))) % 6.34/6.56 (assume @p2524 (forall @t2036 (= (tptp.hAPP (tptp.hAPP @t3460 @t2815) @t2033) @t3473))) % 6.34/6.56 (assume @p2525 (forall @t3474 (= (= @t3473 @t3468) @t2820))) % 6.34/6.56 (assume @p2526 (forall @t3474 (= (= @t3468 @t3473) @t2820))) % 6.34/6.56 (assume @p2527 (forall @t3207 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3462 @t3032) @t3031) @t378)) (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP (tptp.hAPP @t3462 @t2474) @t3028)))))) % 6.34/6.56 (assume @p2528 (forall @t2537 (=> @t3479 (=> @t3478 @t2541)))) % 6.34/6.56 (assume @p2529 (forall @t1679 (=> @t3479 (=> @t1217 (=> @t2540 (tptp.hBOOL (tptp.hAPP @t3480 (tptp.hAPP (tptp.hAPP @t3475 @t111) @t384)))))))) % 6.34/6.56 (assume @p2530 (forall @t830 (=> @t3479 (=> @t1185 (=> @t1220 (tptp.hBOOL (tptp.hAPP @t995 @t3482))))))) % 6.34/6.56 (assume @p2531 (forall @t2537 (=> @t3479 (=> @t996 (=> @t2536 @t3478))))) % 6.34/6.56 (assume @p2532 (forall @t1221 (=> @t3479 (=> @t1195 (= @t3484 @t135))))) % 6.34/6.56 (assume @p2533 (forall @t658 (=> @t3479 (=> @t1185 (= @t3484 @t136))))) % 6.34/6.56 (assume @p2534 (forall @t2534 (=> @t3479 (=> @t2533 @t3485)))) % 6.34/6.56 (assume @p2535 (forall @t2532 (=> @t3479 (=> @t2531 @t3485)))) % 6.34/6.56 (assume @p2536 (forall @t2525 (=> @t3487 (= (tptp.hBOOL (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t3486 @t696) @t628))) @t2524)))) % 6.34/6.56 (assume @p2537 (forall @t875 (=> @t3487 (= @t1213 (= @t3489 @t378))))) % 6.34/6.56 (assume @p2538 (forall @t658 (=> @t3479 @t3491))) % 6.34/6.56 (assume @p2539 (forall @t658 (=> @t3174 @t3491))) % 6.34/6.56 (assume @p2540 (forall @t658 (=> @t3479 @t3492))) % 6.34/6.56 (assume @p2541 (forall @t658 (=> @t3174 @t3492))) % 6.34/6.56 (assume @p2542 (forall @t3179 (=> @t2590 (=> @t3178 (tptp.hBOOL (tptp.hAPP @t3494 (tptp.hAPP @t3493 @t2587))))))) % 6.34/6.56 (assume @p2543 (forall @t3496 (=> @t3495 (=> (tptp.hBOOL (tptp.hAPP @t2908 @t1473)) (tptp.hBOOL (tptp.hAPP @t2908 @t3464)))))) % 6.34/6.56 (assume @p2544 (forall @t3181 (=> @t2501 (= @t3464 @t1473)))) % 6.34/6.56 (assume @p2545 (forall @t2504 (=> @t2503 (= @t3464 @t1235)))) % 6.34/6.56 (assume @p2546 (forall @t2504 (tptp.hBOOL (tptp.hAPP @t3494 @t1473)))) % 6.34/6.56 (assume @p2547 (forall @t2504 (tptp.hBOOL (tptp.hAPP @t3494 @t1235)))) % 6.34/6.56 (assume @p2548 (forall @t2532 (=> @t3479 (=> @t2558 @t3497)))) % 6.34/6.56 (assume @p2549 (forall @t2534 (=> @t3479 (=> @t2559 @t3497)))) % 6.34/6.56 (assume @p2550 (forall @t3162 (= (tptp.hAPP (tptp.hAPP @t3462 @t2815) @t1473) @t2815))) % 6.34/6.56 (assume @p2551 (forall @t2602 (= (tptp.hAPP @t3463 @t2815) @t2815))) % 6.34/6.56 (assume @p2552 (forall @t2504 (= @t3503 (forall @t8 (=> @t3020 (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP @t3501 @t1473)) @t3500))))))) % 6.34/6.56 (assume @p2553 (forall @t436 (=> @t3160 (= (tptp.hAPP (tptp.hAPP @t3475 @t2925) @t136) @t2925)))) % 6.34/6.56 (assume @p2554 (forall @t436 (=> @t3160 (= (tptp.hAPP @t3483 @t2925) @t2925)))) % 6.34/6.56 (assume @p2555 (forall @t3014 (=> @t3466 @t2996))) % 6.34/6.56 (assume @p2556 (forall @t3014 (=> @t3466 @t2997))) % 6.34/6.56 (assume @p2557 (forall @t3014 (= @t3466 (and @t2997 @t2996)))) % 6.34/6.56 (assume @p2558 (forall @t2110 (=> @t3504 (= (tptp.hAPP (tptp.hAPP @t3158 @t3482) @t136) (tptp.hAPP (tptp.hAPP @t3475 @t3196) (tptp.hAPP (tptp.hAPP @t3158 @t317) @t136)))))) % 6.34/6.56 (assume @p2559 (forall @t2110 (=> @t3504 (= (tptp.hAPP (tptp.hAPP @t3475 @t3169) @t136) (tptp.hAPP (tptp.hAPP @t3158 @t3505) (tptp.hAPP (tptp.hAPP @t3475 @t317) @t136)))))) % 6.34/6.56 (assume @p2560 (forall @t830 (=> @t3504 (= @t3507 @t3506)))) % 6.34/6.56 (assume @p2561 (forall @t830 (=> @t3504 (= @t3510 @t3509)))) % 6.34/6.56 (assume @p2562 (forall @t658 (=> @t3174 (= (tptp.hAPP @t3159 @t3484) @t136)))) % 6.34/6.56 (assume @p2563 (forall @t658 (=> @t3174 (= (tptp.hAPP @t3483 @t3170) @t136)))) % 6.34/6.56 (assume @p2564 (forall @t2593 (= (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP @t3516 @t3515)) @t3513) (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t3512 @t3190)) @t3511)))) % 6.34/6.56 (assume @p2565 (forall @t3517 (= (tptp.hAPP (tptp.hAPP @t3148 @t3515) @t1235) (tptp.hAPP (tptp.hAPP @t3462 @t3186) @t3511)))) % 6.34/6.56 (assume @p2566 (forall @t3517 (= (tptp.hAPP (tptp.hAPP @t3462 @t3190) @t1235) (tptp.hAPP (tptp.hAPP @t3148 @t3518) @t3513)))) % 6.34/6.56 (assume @p2567 (forall @t2593 (= (tptp.hAPP @t3149 @t3515) (tptp.hAPP @t3512 @t3189)))) % 6.34/6.56 (assume @p2568 (forall @t2593 (= @t3520 (tptp.hAPP @t3516 @t3519)))) % 6.34/6.56 (assume @p2569 (forall @t436 (=> @t3174 @t3521))) % 6.34/6.56 (assume @p2570 (forall @t3180 (= @t3523 (tptp.hAPP @t3522 @t1473)))) % 6.34/6.56 (assume @p2571 (forall @t2593 (= (tptp.hAPP @t3524 @t2588) @t3523))) % 6.34/6.56 (assume @p2572 (forall @t2593 (= (tptp.hAPP (tptp.hAPP @t2583 @t3464) @t2588) (tptp.hAPP @t3463 @t3187)))) % 6.34/6.56 (assume @p2573 (forall @t3496 (= (tptp.hAPP @t3493 @t2585) (tptp.hAPP (tptp.hAPP @t2583 @t3513) (tptp.hAPP @t3493 @t1473))))) % 6.34/6.56 (assume @p2574 (forall @t1809 (=> (and @t3487 @t1228) (= @t3486 @t2520)))) % 6.34/6.56 (assume @p2575 (forall @t3205 (=> @t3204 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1237) @t2) @t1) @t378) (tptp.hAPP (tptp.hAPP @t3486 @t668) @t1214))))) % 6.34/6.56 (assume @p2576 (forall @t830 (=> @t3479 @t3526))) % 6.34/6.56 (assume @p2577 (forall @t830 (=> @t3174 @t3526))) % 6.34/6.56 (assume @p2578 (forall @t396 (=> @t3479 (= (tptp.hAPP (tptp.hAPP @t3475 @t3477) @t111) @t3528)))) % 6.34/6.56 (assume @p2579 (forall @t830 (=> @t3479 @t3529))) % 6.34/6.56 (assume @p2580 (forall @t830 (=> @t3174 @t3529))) % 6.34/6.56 (assume @p2581 (forall @t410 (=> @t3479 (= (tptp.hAPP @t3527 (tptp.hAPP @t3476 @t111)) @t3528)))) % 6.34/6.56 (assume @p2582 (forall @t658 (=> @t3479 @t3530))) % 6.34/6.56 (assume @p2583 (forall @t658 (=> @t3174 @t3530))) % 6.34/6.56 (assume @p2584 (forall @t579 (=> @t3479 (= (tptp.hAPP @t3476 @t3477) @t3477)))) % 6.34/6.56 (assume @p2585 (forall @t658 (=> @t3479 @t3531))) % 6.34/6.56 (assume @p2586 (forall @t658 (=> @t3174 @t3531))) % 6.34/6.56 (assume @p2587 (forall @t579 (=> @t3479 (= @t3477 (tptp.hAPP @t3527 @t278))))) % 6.34/6.56 (assume @p2588 (forall @t436 (=> @t3479 @t3521))) % 6.34/6.56 (assume @p2589 (forall @t369 (=> @t3479 (= (tptp.hAPP @t3476 @t278) @t278)))) % 6.34/6.56 (assume @p2590 (forall @t2593 (= (tptp.hAPP (tptp.hAPP @t3462 @t3464) @t2588) @t3532))) % 6.34/6.56 (assume @p2591 (forall @t2593 (= @t3532 (tptp.hAPP @t3514 @t3519)))) % 6.34/6.56 (assume @p2592 (forall @t2504 (= (tptp.hAPP @t3463 @t3464) @t3464))) % 6.34/6.56 (assume @p2593 (forall @t2504 (= @t3464 @t3518))) % 6.34/6.56 (assume @p2594 (forall @t2602 (= (tptp.hAPP @t3463 @t1235) @t1235))) % 6.34/6.56 (assume @p2595 (forall @t3027 (=> @t3465 @t3147))) % 6.34/6.56 (assume @p2596 (forall @t3027 (=> @t3465 @t2837))) % 6.34/6.56 (assume @p2597 (forall @t3534 (= (tptp.hAPP (tptp.hAPP @t3462 @t2823) @t2910) @t3533))) % 6.34/6.56 (assume @p2598 (forall @t3326 (=> @t3381 (=> @t3380 (tptp.c_Nat__Transfer_Onat__set @t3536))))) % 6.34/6.56 (assume @p2599 (forall @t830 (=> @t3174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t3507) @t3506))))) % 6.34/6.56 (assume @p2600 (forall @t830 (=> @t3174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t3509) @t3510))))) % 6.34/6.56 (assume @p2601 (forall @t436 (=> @t1186 (= (tptp.hAPP @t3537 @t136) @t2925)))) % 6.34/6.56 (assume @p2602 (forall @t436 (=> @t1186 (= (tptp.hAPP @t3483 @t1046) @t2925)))) % 6.34/6.56 (assume @p2603 (forall @t658 (=> @t1186 (= @t1538 (tptp.hAPP @t3483 @t1184))))) % 6.34/6.56 (assume @p2604 (forall @t658 (=> @t1186 (= (tptp.hAPP @t721 @t3170) (tptp.hAPP @t3537 @t1184))))) % 6.34/6.56 (assume @p2605 (forall @t658 (=> @t1186 (= (tptp.hAPP @t721 @t3484) (tptp.hAPP @t3538 @t1184))))) % 6.34/6.56 (assume @p2606 (forall @t3542 @t3541)) % 6.34/6.56 (assume @p2607 (forall @t3534 @t3544)) % 6.34/6.56 (assume @p2608 (forall @t3542 @t3545)) % 6.34/6.56 (assume @p2609 (forall @t3534 @t3546)) % 6.34/6.56 (assume @p2610 (forall @t3542 (and @t3541 @t3545))) % 6.34/6.56 (assume @p2611 (forall @t3534 (and @t3544 @t3546))) % 6.34/6.56 (assume @p2612 (forall @t3298 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t3261 @t3549)) (tptp.hAPP (tptp.hAPP @t3462 @t3262) @t3267))))) % 6.34/6.56 (assume @p2613 (forall @t2504 (=> @t3503 (= @t2585 @t1235)))) % 6.34/6.56 (assume @p2614 (forall @t2504 (= (tptp.hAPP @t3463 @t3183) @t2815))) % 6.34/6.56 (assume @p2615 (forall @t2593 (= (= (tptp.hAPP @t3516 @t2588) @t3520) @t3495))) % 6.34/6.56 (assume @p2616 (forall @t2504 (= (tptp.hAPP @t3550 @t3464) @t1235))) % 6.34/6.56 (assume @p2617 (forall @t2593 (= (tptp.hAPP @t2584 @t3190) (tptp.hAPP @t3524 @t3188)))) % 6.34/6.56 (assume @p2618 (forall @t2593 (= (tptp.hAPP @t2584 @t3515) (tptp.hAPP @t3550 @t3188)))) % 6.34/6.56 (assume @p2619 (forall @t3326 (= (tptp.hAPP (tptp.hAPP @t3551 @t1235) @t1473) (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t3535 @t3322) @t3321))))) % 6.34/6.56 (assume @p2620 (forall @t2602 (= (tptp.hAPP @t3552 @t1235) @t2815))) % 6.34/6.56 (assume @p2621 (forall @t2602 (= (tptp.hAPP @t3463 @t2600) @t2815))) % 6.34/6.56 (assume @p2622 (forall @t3555 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3554) @t3553)))) % 6.34/6.56 (assume @p2623 (forall @t2504 (= (tptp.hAPP @t2599 @t3150) (tptp.hAPP @t3552 @t2601)))) % 6.34/6.56 (assume @p2624 (forall @t2504 (= (tptp.hAPP @t2599 @t3464) (tptp.hAPP @t3208 @t2601)))) % 6.34/6.56 (assume @p2625 (forall @t2504 (= (tptp.hAPP @t2584 @t2601) @t3464))) % 6.34/6.56 (assume @p2626 (forall @t2504 (= @t2585 (tptp.hAPP @t3463 @t2601)))) % 6.34/6.56 (assume @p2627 (forall @t3326 (=> @t3381 (=> @t3380 (= @t3536 (tptp.hAPP @t3320 (tptp.hAPP (tptp.hAPP @t3551 @t3378) @t3377))))))) % 6.34/6.56 (assume @p2628 (forall @t2504 (= @t3503 (tptp.hBOOL (tptp.hAPP @t2502 @t2601))))) % 6.34/6.56 (assume @p2629 (forall @t3559 (=> @t3445 (=> @t3444 (=> @t3418 (= (tptp.hAPP (tptp.hAPP @t2 @t3558) (tptp.hAPP @t3404 @t3549)) @t3557)))))) % 6.34/6.56 (assume @p2630 (forall @t3561 (= @t3461 (tptp.hAPP (tptp.hAPP @t3560 @t3398) @t3473)))) % 6.34/6.56 (assume @p2631 (forall @t3565 (=> @t3438 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t2 @t3563) @t3562) @t3557))))))) % 6.34/6.56 (assume @p2632 (forall @t3565 (=> @t3438 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3566)))))))) % 6.34/6.56 (assume @p2633 (forall @t3559 (=> @t3445 (=> @t3444 (=> @t3418 (=> (= @t3549 @t3290) @t3568)))))) % 6.34/6.56 (assume @p2634 (forall (@list @t2033 @t1235 @t378 @t30) (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t3398) @t3468))))) % 6.34/6.56 (assume @p2635 (forall @t3571 (=> @t3389 (=> @t3472 (=> @t3470 (=> @t3570 (=> @t3569 (= @t3467 @t3400)))))))) % 6.34/6.56 (assume @p2636 (forall @t3571 (=> @t3389 (=> @t3472 (=> @t3470 (=> @t3570 (=> @t3569 (=> @t3400 @t3467)))))))) % 6.34/6.56 (assume @p2637 (forall @t3573 (=> @t3572 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t2955 @t327 @t1539) @t3339)))) % 6.34/6.56 (assume @p2638 (forall @t1421 (= (tptp.hBOOL (tptp.hAPP @t3576 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t2955 @t327))) (and @t3575 (not @t3574))))) % 6.34/6.56 (assume @p2639 (forall @t1421 (= (tptp.hBOOL (tptp.hAPP @t3576 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t2955 @t327))) (and @t3574 (not @t3575))))) % 6.34/6.56 (assume @p2640 (forall @t1421 (= (tptp.hBOOL (tptp.hAPP @t3576 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t2792 @t327))) @t3575))) % 6.34/6.56 (assume @p2641 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2510)) % 6.34/6.56 (assume @p2642 (forall @t3231 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3578 @t3045) @t3044) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t3048 (tptp.hAPP (tptp.hAPP @t3577 @t2474) @t3028)))))) % 6.34/6.56 (assume @p2643 (forall (@list @t1586 @t1539 @t3579 @t178 @t30) (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t30 @t3579 @t1539 @t1586))) (and @t3582 @t3581)))) % 6.34/6.56 (assume @p2644 (forall @t3584 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OgreaterThan @t30 @t3579 @t327))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3579 @t327) @t178))))) % 6.34/6.56 (assume @p2645 (forall @t3584 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OlessThan @t30 @t3579 @t327))) (tptp.hBOOL (tptp.hAPP @t3580 @t327))))) % 6.34/6.56 (assume @p2646 (forall @t3587 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OatMost @t30 @t3585 @t327))) (tptp.hBOOL (tptp.hAPP @t3586 @t327))))) % 6.34/6.56 (assume @p2647 (forall @t1421 (= (tptp.hBOOL (tptp.hAPP @t3576 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t2792 @t327))) @t3574))) % 6.34/6.56 (assume @p2648 (forall (@list @t2033 @t1235 @t164 @t30) (=> @t3472 (not (forall @t8 (=> (= @t164 (tptp.hAPP @t3386 @t3098)) @t3021)))))) % 6.34/6.56 (assume @p2649 (forall @t3589 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t30 @t3585 @t3579 @t1539 @t1586))) (and @t3582 @t3588)))) % 6.34/6.56 (assume @p2650 (forall @t3589 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OatLeastLessThan @t30 @t3585 @t3579 @t1539 @t1586))) (and @t3590 @t3581)))) % 6.34/6.56 (assume @p2651 (forall @t3259 (=> @t3591 (not (=> @t3257 @t3260))))) % 6.34/6.56 (assume @p2652 (forall (@list @t127 @t30 @t1473 @t696 @t378 @t1235) (=> @t3257 (=> @t3256 @t3591)))) % 6.34/6.56 (assume @p2653 (forall @t3259 (=> @t3591 @t3256))) % 6.34/6.56 (assume @p2654 (forall @t3259 (=> @t3591 @t3257))) % 6.34/6.56 (assume @p2655 (forall @t3573 (=> @t3572 @t3593))) % 6.34/6.56 (assume @p2656 (forall @t1399 (=> @t3597 @t3595))) % 6.34/6.56 (assume @p2657 (forall @t1541 (= @t3593 @t3598))) % 6.34/6.56 (assume @p2658 (forall @t1426 (= @t3595 @t3601))) % 6.34/6.56 (assume @p2659 (forall @t1541 (= (= @t3339 @t3592) @t3598))) % 6.34/6.56 (assume @p2660 (forall @t1426 (= (= @t3339 @t3594) @t3601))) % 6.34/6.56 (assume @p2661 (forall @t3587 (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OatLeast @t30 @t3585 @t327))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3585 @t327) @t178))))) % 6.34/6.56 (assume @p2662 (forall (@list @t1586 @t1539 @t3585 @t178 @t30) (= (tptp.hBOOL (tptp.hAPP @t3583 (tptp.c_SetInterval_Oord_OatLeastAtMost @t30 @t3585 @t1539 @t1586))) (and @t3590 @t3588)))) % 6.34/6.56 (assume @p2663 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2987 (and (=> @t3436 (= @t3603 @t378)) (=> @t3437 (= @t3603 @t3602)))))))) % 6.34/6.56 (assume @p2664 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2987 (and (=> @t3436 (= @t3605 @t378)) (=> @t3437 (= @t3605 @t3604)))))))) % 6.34/6.56 (assume @p2665 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (and (=> @t3436 @t3608) (=> @t3437 (= @t3607 @t3606)))))))) % 6.34/6.56 (assume @p2666 (forall @t2602 (=> @t3204 (=> @t3403 (=> @t3022 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3603) @t3605))))))) % 6.34/6.56 (assume @p2667 (forall @t380 (=> @t1228 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t2819) @t378)))) % 6.34/6.56 (assume @p2668 (forall @t380 (=> @t3204 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t2819) @t378)))) % 6.34/6.56 (assume @p2669 (forall @t380 (=> @t3204 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t2819) @t378)))) % 6.34/6.56 (assume @p2670 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (tptp.hBOOL (tptp.hAPP @t1212 @t3607))))))) % 6.34/6.56 (assume @p2671 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 @t3609))))) % 6.34/6.56 (assume @p2672 (forall @t3410 (=> @t3204 (=> @t3403 (=> @t3003 (= (tptp.hAPP @t3610 @t3603) @t140)))))) % 6.34/6.56 (assume @p2673 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2987 (= @t3611 @t3605)))))) % 6.34/6.56 (assume @p2674 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2987 (= @t3612 @t3603)))))) % 6.34/6.56 (assume @p2675 (forall @t3410 (=> @t3204 (=> @t3403 (=> @t3003 (= (tptp.hAPP @t3613 @t3605) @t140)))))) % 6.34/6.56 (assume @p2676 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (= @t3614 @t3607)))))) % 6.34/6.56 (assume @p2677 (forall @t1426 (=> @t759 (= @t3617 @t3616)))) % 6.34/6.56 (assume @p2678 (forall @t416 (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2792 @t140 @t140) @t3616))) % 6.34/6.56 (assume @p2679 (forall (@list @t25 @t64 @t140) (= (= @t3617 (tptp.hAPP (tptp.hAPP @t3615 @t25) @t3339)) @t3618))) % 6.34/6.56 (assume @p2680 (forall @t1399 (=> (and @t3597 @t3620) @t3619))) % 6.34/6.56 (assume @p2681 (forall @t1426 (= @t3619 @t3620))) % 6.34/6.56 (assume @p2682 (forall @t1426 (= (= @t3339 @t3617) @t3620))) % 6.34/6.56 (assume @p2683 (forall @t3626 (=> @t1228 (=> @t3625 (=> @t3624 (=> @t3623 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3622)) @t3621)))))))) % 6.34/6.56 (assume @p2684 (forall @t2821 (=> @t3204 (=> @t3403 @t3628)))) % 6.34/6.56 (assume @p2685 (forall @t2821 (=> @t3204 (=> @t3403 @t3630)))) % 6.34/6.56 (assume @p2686 (forall @t2821 (=> @t1228 (=> @t3403 @t3632)))) % 6.34/6.56 (assume @p2687 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t3155 @t3633) @t3605) @t3605))))))) % 6.34/6.56 (assume @p2688 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t3486 @t3634) @t3603) @t3603))))))) % 6.34/6.56 (assume @p2689 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3637))))))) % 6.34/6.56 (assume @p2690 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t2644 @t3638) @t3607) @t3607))))))) % 6.34/6.56 (assume @p2691 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3641))))))) % 6.34/6.56 (assume @p2692 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3644))))))) % 6.34/6.56 (assume @p2693 (forall @t3649 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3328 @t3617) @t3648)) (or @t3620 (and @t3647 @t3645))))) % 6.34/6.56 (assume @p2694 (forall @t3649 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3332 @t3617) @t3648)) (and (or @t3620 (and @t3647 @t3645 (or (and @t3647 (not (tptp.hBOOL (tptp.hAPP @t3599 @t25)))) (and @t3645 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t819) @t64))))))) (tptp.hBOOL (tptp.hAPP @t3646 @t819)))))) % 6.34/6.56 (assume @p2695 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2988 @t3628))))) % 6.34/6.56 (assume @p2696 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2988 @t3630))))) % 6.34/6.56 (assume @p2697 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 @t3632))))) % 6.34/6.56 (assume @p2698 (forall @t2821 (=> @t3204 (=> @t3403 (and (=> @t3436 (= @t3627 @t378)) (=> @t3437 (= @t3627 @t3604))))))) % 6.34/6.56 (assume @p2699 (forall @t2821 (=> @t3204 (=> @t3403 (and (=> @t3436 (= @t3629 @t378)) (=> @t3437 (= @t3629 @t3602))))))) % 6.34/6.56 (assume @p2700 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3637)))))))) % 6.34/6.56 (assume @p2701 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t3155 @t3636) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t3464)) @t3635))))))) % 6.34/6.56 (assume @p2702 (forall @t2821 (=> @t1228 (=> @t3403 (and (=> @t3436 (= @t3631 @t378)) (=> @t3437 (= @t3631 @t3606))))))) % 6.34/6.56 (assume @p2703 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t3486 @t3640) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t3464)) @t3639))))))) % 6.34/6.56 (assume @p2704 (forall @t2504 (=> @t3204 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3641)))))))) % 6.34/6.56 (assume @p2705 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t2644 @t3643) (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3464)) @t3642))))))) % 6.34/6.56 (assume @p2706 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3644)))))))) % 6.34/6.56 (assume @p2707 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3652 @t3609)))))) % 6.34/6.56 (assume @p2708 (forall @t2602 (=> @t3204 (=> @t3403 (=> @t3022 (=> (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3653) @t3650))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3603) @t1235)))))))) % 6.34/6.56 (assume @p2709 (forall @t2602 (=> @t3204 (=> @t3403 (=> @t3022 (=> (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3654) @t3650))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3605) @t1235)))))))) % 6.34/6.56 (assume @p2710 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (and (=> @t3436 @t3657) (=> @t3437 (= @t3656 @t3655)))))))) % 6.34/6.56 (assume @p2711 (forall @t380 (=> @t1228 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t2819) @t378)))) % 6.34/6.56 (assume @p2712 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3656) @t378))))))) % 6.34/6.56 (assume @p2713 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 @t3658))))) % 6.34/6.56 (assume @p2714 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (= @t3659 @t3656)))))) % 6.34/6.56 (assume @p2715 (forall @t3626 (=> @t1228 (=> @t3625 (=> @t3624 (=> @t3623 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3660) (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3622))))))))) % 6.34/6.56 (assume @p2716 (forall @t2821 (=> @t1228 (=> @t3403 @t3662)))) % 6.34/6.56 (assume @p2717 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t2520 @t3663) @t3656) @t3656))))))) % 6.34/6.56 (assume @p2718 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3666))))))) % 6.34/6.56 (assume @p2719 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 @t3662))))) % 6.34/6.56 (assume @p2720 (forall @t2821 (=> @t1228 (=> @t3403 (and (=> @t3436 (= @t3661 @t378)) (=> @t3437 (= @t3661 @t3655))))))) % 6.34/6.56 (assume @p2721 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t2520 @t3665) (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3464)) @t3664))))))) % 6.34/6.56 (assume @p2722 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3666)))))))) % 6.34/6.56 (assume @p2723 (forall @t3671 (=> @t358 (=> @t3670 (=> @t3669 (= (tptp.hAPP @t740 (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3028)) (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3668))))))) % 6.34/6.56 (assume @p2724 (forall @t3671 (=> @t358 (=> @t3670 (=> @t3669 (= (tptp.hAPP @t740 (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t3028)) (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t3668))))))) % 6.34/6.56 (assume @p2725 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3673 @t3658)))))) % 6.34/6.56 (assume @p2726 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (and (=> @t3436 (= @t3675 @t378)) (=> @t3437 (= @t3675 @t3674)))))))) % 6.34/6.56 (assume @p2727 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (and (=> @t3436 (= @t3677 @t378)) (=> @t3437 (= @t3677 @t3676)))))))) % 6.34/6.56 (assume @p2728 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3677) @t3675))))))) % 6.34/6.56 (assume @p2729 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (= @t3678 @t3677)))))) % 6.34/6.56 (assume @p2730 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2987 (= @t3679 @t3675)))))) % 6.34/6.56 (assume @p2731 (forall @t380 (=> @t1228 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t2819) @t378)))) % 6.34/6.56 (assume @p2732 (forall @t380 (=> @t1228 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t2819) @t378)))) % 6.34/6.56 (assume @p2733 (forall @t2821 (=> @t1228 (=> @t3403 @t3681)))) % 6.34/6.56 (assume @p2734 (forall @t2821 (=> @t1228 (=> @t3403 @t3683)))) % 6.34/6.56 (assume @p2735 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t2520 @t3684) @t3677) @t3677))))))) % 6.34/6.56 (assume @p2736 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3567 (=> @t2501 (= (tptp.hAPP (tptp.hAPP @t2644 @t3685) @t3675) @t3675))))))) % 6.34/6.56 (assume @p2737 (forall @t3410 (=> @t1228 (=> @t3403 (=> @t3003 (= (tptp.hAPP @t3686 @t3675) @t140)))))) % 6.34/6.56 (assume @p2738 (forall @t3410 (=> @t1228 (=> @t3403 (=> @t3003 (= (tptp.hAPP @t3687 @t3677) @t140)))))) % 6.34/6.56 (assume @p2739 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3690))))))) % 6.34/6.56 (assume @p2740 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3693))))))) % 6.34/6.56 (assume @p2741 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 @t3681))))) % 6.34/6.56 (assume @p2742 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 @t3683))))) % 6.34/6.56 (assume @p2743 (forall @t2821 (=> @t1228 (=> @t3403 (and (=> @t3436 (= @t3680 @t378)) (=> @t3437 (= @t3680 @t3676))))))) % 6.34/6.56 (assume @p2744 (forall @t2821 (=> @t1228 (=> @t3403 (and (=> @t3436 (= @t3682 @t378)) (=> @t3437 (= @t3682 @t3674))))))) % 6.34/6.56 (assume @p2745 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3690)))))))) % 6.34/6.56 (assume @p2746 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t2520 @t3689) (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t3464)) @t3688))))))) % 6.34/6.56 (assume @p2747 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3414 (=> @t3564 (= (tptp.hAPP (tptp.hAPP @t2644 @t3692) (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t3464)) @t3691))))))) % 6.34/6.56 (assume @p2748 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t3693)))))))) % 6.34/6.56 (assume @p2749 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3652 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3675) @t1235)))))))) % 6.34/6.56 (assume @p2750 (forall @t2602 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3673 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3677) @t1235)))))))) % 6.34/6.56 (assume @p2751 (forall @t3694 (=> @t3438 (=> @t3403 (=> @t3022 (=> (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t2766) @t3650))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t3435) @t1235)))))))) % 6.34/6.56 (assume @p2752 (forall @t2821 (=> @t3403 @t3699))) % 6.34/6.56 (assume @p2753 (forall @t2821 (=> @t3403 (and @t3699 (=> @t2988 (= @t3698 @t3696)))))) % 6.34/6.56 (assume @p2754 (forall @t2821 (=> @t3403 (=> @t2987 (= @t3696 @t3700))))) % 6.34/6.56 (assume @p2755 (forall @t3330 (= @t3703 (tptp.hAPP @t3701 @t3322)))) % 6.34/6.56 (assume @p2756 (forall @t3330 (=> @t3381 (= (tptp.hAPP @t3701 @t1235) (tptp.hAPP @t3702 @t3378))))) % 6.34/6.56 (assume @p2757 (forall @t1809 (= (tptp.hAPP @t3695 @t2815) @t214))) % 6.34/6.56 (assume @p2758 (forall @t2602 @t3706)) % 6.34/6.56 (assume @p2759 (forall @t2602 (= @t3704 (or @t2820 @t3705)))) % 6.34/6.56 (assume @p2760 (forall @t2602 (=> @t3707 @t3403))) % 6.34/6.56 (assume @p2761 (forall @t2821 (=> @t3403 (tptp.hBOOL (tptp.hAPP @t3709 @t3708))))) % 6.34/6.56 (assume @p2762 (forall @t3181 (=> @t3414 (=> @t2503 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t3710) @t3696)) @t2499))))) % 6.34/6.56 (assume @p2763 (forall @t3181 (=> @t3414 (=> @t2503 (tptp.hBOOL (tptp.hAPP @t3709 @t3710)))))) % 6.34/6.56 (assume @p2764 (forall @t3713 (=> @t3403 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t3712) @t3696))))) % 6.34/6.56 (assume @p2765 (forall @t3181 (=> @t3414 (=> @t2596 @t3714)))) % 6.34/6.56 (assume @p2766 (forall @t2821 (=> @t3403 (and (=> @t2987 (= @t3708 @t3696)) @t3715)))) % 6.34/6.56 (assume @p2767 (forall @t2821 (=> @t3403 @t3715))) % 6.34/6.56 (assume @p2768 (forall @t2602 (= @t3707 (and @t3022 @t3403)))) % 6.34/6.56 (assume @p2769 (forall @t2504 (=> @t3403 (=> @t3414 (= @t3720 @t3718))))) % 6.34/6.56 (assume @p2770 (forall @t2504 (=> @t3403 (=> @t3414 (= @t3718 @t3720))))) % 6.34/6.56 (assume @p2771 (forall @t3181 (=> @t3414 (=> @t2501 (= @t3722 @t3721))))) % 6.34/6.56 (assume @p2772 (forall @t2504 (=> (tptp.hBOOL (tptp.hAPP @t3391 @t3464)) (= @t3722 (tptp.hAPP @t3697 @t3716))))) % 6.34/6.56 (assume @p2773 (forall @t3181 (=> @t3414 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t3721) @t3722))))) % 6.34/6.56 (assume @p2774 (forall @t3181 (=> @t3414 (=> @t2503 (=> @t3714 @t2596))))) % 6.34/6.56 (assume @p2775 (forall @t2821 (=> @t3403 (= @t3708 @t3723)))) % 6.34/6.56 (assume @p2776 (forall @t2504 (=> @t3403 (=> @t3414 (=> @t3503 @t3724))))) % 6.34/6.56 (assume @p2777 (forall @t2821 (=> @t3403 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t3698) @t3696))))) % 6.34/6.56 (assume @p2778 (forall @t2821 (=> @t3403 (=> @t2988 (= @t3708 (tptp.hAPP @t1171 @t3696)))))) % 6.34/6.56 (assume @p2779 (forall @t2821 (=> @t3403 (=> @t2987 (= @t3723 @t3696))))) % 6.34/6.56 (assume @p2780 (forall (@list @t696 @t378 @t1235 @t30) (=> @t3403 (=> @t2987 (=> @t3035 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP @t3695 (tptp.hAPP (tptp.hAPP @t2583 @t2990) @t3397))) @t3696))))))) % 6.34/6.56 (assume @p2781 (forall @t2821 (=> @t3403 (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t3698) @t3696)))))) % 6.34/6.56 (assume @p2782 (forall @t2918 (=> @t3403 (=> @t3003 (=> @t3009 (= (tptp.hAPP @t3695 @t2917) (tptp.hAPP (tptp.hAPP @t1459 @t3722) @t933))))))) % 6.34/6.56 (assume @p2783 (forall @t2821 (=> @t3403 (= @t3708 @t3700)))) % 6.34/6.56 (assume @p2784 (forall @t2504 (=> @t3403 (=> @t3414 (=> (=> (exists @t8 @t3726) @t3725) @t3724))))) % 6.34/6.56 (assume @p2785 (forall (@list @t327 @t1235 @t30) (= (= @t3696 @t974) (exists (@list @t2400 @t3727) (and (= @t1235 (tptp.hAPP (tptp.hAPP @t2817 @t2400) @t3727)) (not (tptp.hBOOL (tptp.hAPP @t3728 @t3727))) (= (tptp.hAPP @t3695 @t3727) @t327) (=> @t963 (= @t3727 @t2815))))))) % 6.34/6.56 (assume @p2786 (forall (@list @t327 @t2033 @t1235 @t30) (=> @t3403 (=> @t3389 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3729 @t3468)) (tptp.hBOOL (tptp.hAPP @t2911 (tptp.hAPP @t3695 @t4))))) (tptp.hBOOL (tptp.hAPP @t2911 @t3696))))))) % 6.34/6.56 (assume @p2787 (forall @t3733 (= (tptp.hAPP @t3701 @t3732) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3731 @t3730))))) % 6.34/6.56 (assume @p2788 (forall @t3739 (and (=> @t3736 @t3738) (=> (not @t3736) (= @t3735 @t214))))) % 6.34/6.56 (assume @p2789 (forall (@list @t25 @t64 @t140 @t3028 @t30 @t127) (=> @t3754 (=> @t3670 (and (=> @t3750 (= @t3749 (tptp.hAPP (tptp.hAPP @t3753 @t3752) (tptp.hAPP @t3742 (tptp.hAPP (tptp.hAPP @t1459 @t3740) @t933))))) (=> @t3751 (= @t3749 (tptp.hAPP @t3742 @t3740)))))))) % 6.34/6.56 (assume @p2790 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3411 @t3732)))) % 6.34/6.56 (assume @p2791 (forall (@list @t1235 @t127 @t1473 @t64 @t30) (=> @t3757 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t3756) (tptp.hAPP @t3755 @t64)) (tptp.c_Sum__Type_OPlus @t127 @t30 @t1235 @t1473)))))) % 6.34/6.56 (assume @p2792 (forall @t3758 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t2684) @t469) @t3734))))) % 6.34/6.56 (assume @p2793 (forall @t3292 (=> @t2106 (= (tptp.hAPP @t1644 @t3763) (tptp.hAPP (tptp.hAPP @t3761 @t3760) @t1235))))) % 6.34/6.56 (assume @p2794 (forall @t3769 (=> @t3768 (= (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t3767 @t3766) @t1)) @t1235) (tptp.hAPP (tptp.hAPP @t776 @t3763) (tptp.hAPP @t3764 @t1235)))))) % 6.34/6.56 (assume @p2795 (forall @t3770 (=> @t3768 (= (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP @t2570 @t926)) @t1235) @t926)))) % 6.34/6.56 (assume @p2796 (forall @t3777 (= @t3776 (tptp.hAPP tptp.c_Int_Onat @t3773)))) % 6.34/6.56 (assume @p2797 (forall @t3777 (= (tptp.hAPP @t623 @t3776) @t3773))) % 6.34/6.56 (assume @p2798 (forall @t3292 (=> (and @t3768 @t180) (= (tptp.hAPP @t616 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t127 tptp.tc_Nat_Onat) @t2) @t1235)) (tptp.hAPP (tptp.hAPP @t3761 @t3778) @t1235))))) % 6.34/6.56 (assume @p2799 (forall @t3292 (=> (and @t3768 @t2346) (= (tptp.hAPP @t705 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t127 tptp.tc_Int_Oint) @t2) @t1235)) (tptp.hAPP (tptp.hAPP @t3761 @t3779) @t1235))))) % 6.34/6.56 (assume @p2800 (forall @t3777 (=> @t3783 (= (tptp.hAPP (tptp.hAPP @t3781 @t2) @t1235) (tptp.hAPP (tptp.hAPP @t3780 @t2263) @t3322))))) % 6.34/6.56 (assume @p2801 (forall @t3791 (=> (and @t3790 (tptp.class_Rings_Ono__zero__divisors @t127)) (=> @t3403 (= @t3789 @t3786))))) % 6.34/6.56 (assume @p2802 (forall @t3791 (=> @t3790 (=> @t3403 (=> @t3786 @t3789))))) % 6.34/6.56 (assume @p2803 (forall @t3792 (=> @t3768 (= (tptp.hAPP @t3764 @t3290) @t926)))) % 6.34/6.56 (assume @p2804 (forall @t3793 (=> @t3768 (= (tptp.hAPP @t3762 @t3290) @t926)))) % 6.34/6.56 (assume @p2805 (forall @t3798 (=> @t3754 @t3797))) % 6.34/6.56 (assume @p2806 (forall @t3791 (=> @t3754 (=> @t3705 (= @t3788 @t3794))))) % 6.34/6.56 (assume @p2807 (forall @t3801 (=> @t3407 (= (= (tptp.hAPP @t3775 @t3404) @t933) (forall @t8 (=> @t3800 @t3799)))))) % 6.34/6.56 (assume @p2808 (forall @t3804 (= (= @t3734 (tptp.c_Orderings_Obot__class_Obot @t3803)) (and @t2820 @t3802)))) % 6.34/6.56 (assume @p2809 (forall @t3804 (= @t3806 @t3736))) % 6.34/6.56 (assume @p2810 (forall @t3739 (=> @t3403 (=> @t3418 @t3806)))) % 6.34/6.56 (assume @p2811 (forall @t3804 (=> @t3806 @t3403))) % 6.34/6.56 (assume @p2812 (forall @t3804 (=> @t3806 @t3418))) % 6.34/6.56 (assume @p2813 (forall @t3809 (=> @t3783 (=> @t3381 (= @t3808 (tptp.hAPP (tptp.hAPP @t3781 @t3807) @t3378)))))) % 6.34/6.56 (assume @p2814 (forall @t3814 (=> @t3754 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t3748 @t3813) @t1235) (tptp.hAPP @t3810 (tptp.hAPP (tptp.hAPP @t3748 @t218) @t1235))))))) % 6.34/6.56 (assume @p2815 (forall @t3817 (=> (tptp.class_Fields_Ofield__inverse__zero @t127) (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP (tptp.hAPP @t3812 (tptp.hAPP (tptp.hAPP @t3811 @t3815) @t2)) @t1)) @t1235) (tptp.hAPP @t3816 @t3796)))))) % 6.34/6.56 (assume @p2816 (forall (@list @t2 @t178 @t1235 @t30 @t127) (=> @t3790 (=> @t3403 (=> @t3820 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3819 @t3818) @t3788))))))) % 6.34/6.56 (assume @p2817 (forall @t3825 (=> @t3670 (= @t3824 @t3823)))) % 6.34/6.56 (assume @p2818 (forall @t3828 (=> (and @t3754 (tptp.class_Rings_Odvd @t127)) (=> @t3414 (=> @t2503 (tptp.hBOOL (tptp.hAPP @t3827 @t3826))))))) % 6.34/6.56 (assume @p2819 (forall @t3831 (=> @t671 (=> @t3830 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t327 @t1539) @t2815))))) % 6.34/6.56 (assume @p2820 (forall @t875 (=> @t789 (= (tptp.hAPP @t3667 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t378 @t696)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t1189 @t1190))))) % 6.34/6.56 (assume @p2821 (forall @t3833 (=> @t3754 (=> @t3670 (and (=> @t3750 (= @t3832 @t3752)) (=> @t3751 (= @t3832 @t3794))))))) % 6.34/6.56 (assume @p2822 (forall @t3833 (=> @t3754 (=> @t3670 (and (=> @t3750 (= @t3835 @t3752)) (=> @t3751 (= @t3835 @t3794))))))) % 6.34/6.56 (assume @p2823 (forall (@list @t696 @t1235 @t30 @t127) (=> @t3754 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP @t3299 @t696)) @t1235) (tptp.hAPP (tptp.hAPP @t3741 @t696) @t3696)))))) % 6.34/6.56 (assume @p2824 (forall @t3836 (=> @t3754 (=> @t3403 (=> @t3026 (= (tptp.hAPP @t3787 @t2823) (tptp.hAPP (tptp.hAPP @t3753 @t2416) @t3788))))))) % 6.34/6.56 (assume @p2825 (forall @t3839 (=> @t3754 (=> @t3403 (=> @t2988 (= @t3838 (tptp.hAPP @t3837 @t3796))))))) % 6.34/6.56 (assume @p2826 (forall @t3843 (=> @t3754 (=> @t3403 (=> @t3414 (= (tptp.hAPP (tptp.hAPP @t3753 @t3842) (tptp.hAPP @t3795 @t3464)) @t3841)))))) % 6.34/6.56 (assume @p2827 (forall @t3804 (= @t3734 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3803) (tptp.hAPP (tptp.c_Set_Oimage @t30 @t2684 @t468) @t1235)) (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2684 @t470) @t1473))))) % 6.34/6.56 (assume @p2828 (forall @t824 (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t140 @t64)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t25 @t819)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t30 @t3846 @t3845))))) % 6.34/6.56 (assume @p2829 (forall @t3848 (=> @t3754 (=> @t3403 (= @t3838 @t3847))))) % 6.34/6.56 (assume @p2830 (forall @t3843 (=> @t3754 (=> @t3403 (=> @t3414 (=> @t3503 @t3849)))))) % 6.34/6.56 (assume @p2831 (forall @t3739 (=> @t3403 (=> @t3418 @t3738)))) % 6.34/6.56 (assume @p2832 (forall @t3839 (=> @t3754 (=> @t3403 (=> @t2987 (= @t3796 @t3847)))))) % 6.34/6.56 (assume @p2833 (forall (@list @t140 @t2 @t1235 @t30 @t127) (=> @t3851 (=> @t3403 (=> (not (= @t2416 @t3784)) (and (=> @t3003 (= @t3850 (tptp.hAPP @t3816 @t2416))) (=> @t3026 (= @t3850 @t3788)))))))) % 6.34/6.56 (assume @p2834 (forall @t3852 (=> @t3851 (=> @t3403 (=> @t3414 (=> (forall @t8 (=> @t3726 (not @t3785))) (= (tptp.hAPP @t3787 @t3150) (tptp.hAPP (tptp.hAPP @t3815 (tptp.hAPP (tptp.hAPP @t3753 @t3788) @t3826)) (tptp.hAPP @t3787 @t3464))))))))) % 6.34/6.56 (assume @p2835 (forall @t3843 (=> @t3754 (=> @t3403 (=> @t3414 (=> (forall @t8 (=> @t3726 (= @t5 @t3794))) @t3849)))))) % 6.34/6.56 (assume @p2836 (forall @t3861 (=> @t3754 (=> @t3670 (=> @t3860 (=> @t3859 (= (tptp.hAPP @t3787 @t3856) (tptp.hAPP (tptp.hAPP @t3753 @t3855) @t3854)))))))) % 6.34/6.56 (assume @p2837 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3412 @t3862)))) % 6.34/6.56 (assume @p2838 (forall @t3733 (= (tptp.hAPP @t3702 @t3862) (tptp.hAPP @t3864 @t3863)))) % 6.34/6.56 (assume @p2839 (forall @t3809 (=> @t3866 (= (tptp.hAPP (tptp.hAPP @t3772 @t2) @t1235) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t3774 @t3865) @t1235)))))) % 6.34/6.56 (assume @p2840 (forall @t3873 (=> @t1228 (=> @t3872 (= (tptp.hAPP @t3870 @t3868) @t3867))))) % 6.34/6.56 (assume @p2841 (forall @t3474 (= @t3468 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t2944) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t2944 @t2944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t3875 @t30) @t3560) (tptp.hAPP (tptp.hAPP @t3874 @t3386) @t2947))) @t3473))))) % 6.34/6.56 (assume @p2842 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3412 @t3876)))) % 6.34/6.56 (assume @p2843 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3411 @t3877)))) % 6.34/6.56 (assume @p2844 (forall (@list @t127 @t64 @t1473 @t1235 @t140 @t30) (=> @t3003 (=> @t3884 @t3881)))) % 6.34/6.56 (assume @p2845 (forall @t3739 (=> @t3403 (= @t3887 @t3886)))) % 6.34/6.56 (assume @p2846 (forall @t3890 (= @t3881 (exists @t8 (and @t3020 @t3889))))) % 6.34/6.56 (assume @p2847 (forall (@list @t1473 @t1235 @t465 @t2033 @t30 @t127) (= (tptp.hAPP @t3351 @t3895) (tptp.hAPP @t3894 @t3892)))) % 6.34/6.56 (assume @p2848 (forall @t3831 (=> @t671 (=> @t3830 @t3897)))) % 6.34/6.56 (assume @p2849 (forall @t3900 (=> @t671 (= @t3897 @t3899)))) % 6.34/6.56 (assume @p2850 (forall @t3900 (=> @t671 (= (= @t2815 @t3896) @t3899)))) % 6.34/6.56 (assume @p2851 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3904 (= (tptp.hAPP @t3903 @t3901) @t3867)))))) % 6.34/6.56 (assume @p2852 (forall @t3906 (=> @t671 (= (tptp.hAPP @t3907 @t3901) @t2815)))) % 6.34/6.56 (assume @p2853 (forall @t3733 (= (tptp.hAPP @t3702 @t3876) @t3908))) % 6.34/6.56 (assume @p2854 (forall (@list @t1473 @t2033 @t30 @t127) (= (tptp.hAPP @t3351 @t1473) (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t3910 @t3351) @t3909))))) % 6.34/6.56 (assume @p2855 (forall @t824 (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t140 @t64)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t25 @t819)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t3846 @t3845))))) % 6.34/6.56 (assume @p2856 (forall @t3906 (=> @t671 (= (tptp.hAPP @t3907 @t3913) @t2815)))) % 6.34/6.56 (assume @p2857 (forall @t3733 (= (tptp.hAPP @t3701 @t3877) @t3915))) % 6.34/6.56 (assume @p2858 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3917 (= (tptp.hAPP @t3903 @t3913) @t3869)))))) % 6.34/6.56 (assume @p2859 (forall @t3919 (=> @t3003 (=> @t3918 (tptp.hBOOL (tptp.hAPP @t3286 @t3880)))))) % 6.34/6.56 (assume @p2860 (forall @t3294 (= @t3262 (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t3920 @t127) @t2817) @t2)) @t2815))))) % 6.34/6.56 (assume @p2861 (forall (@list @t140 @t2 @t127 @t2033 @t1235 @t30) (=> @t3389 (=> @t3923 (=> @t3003 (= (tptp.hAPP (tptp.hAPP @t3878 @t3387) @t2) @t2416)))))) % 6.34/6.56 (assume @p2862 (forall (@list @t27 @t1473 @t1235 @t127 @t30) (= (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 @t3924)) @t1059)) (forall @t8 (=> @t3284 (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP @t3501 @t3885)) (tptp.hBOOL (tptp.hAPP @t27 @t3498))))))))) % 6.34/6.56 (assume @p2863 (forall (@list @t2 @t2033 @t127 @t30) (= @t3932 (forall @t8 (=> @t3931 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3929 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t1206 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2742 @t3928 @t30) @t3927) @t3926)) @t2)) @t4))))))) % 6.34/6.56 (assume @p2864 (forall @t3942 (=> @t3941 (= (tptp.hAPP @t3936 (tptp.hAPP (tptp.hAPP @t3940 @t3938) @t2)) (tptp.hAPP @t3938 (tptp.hAPP (tptp.hAPP @t3937 @t3936) @t3934)))))) % 6.34/6.56 (assume @p2865 (forall @t3948 (= (tptp.hAPP @t3922 (tptp.hAPP (tptp.hAPP @t3947 (tptp.hAPP (tptp.hAPP @t3946 @t3893) @t1473)) @t2588)) (tptp.hAPP (tptp.hAPP @t3893 @t3944) @t2588)))) % 6.34/6.56 (assume @p2866 (forall @t3952 (= (tptp.hAPP (tptp.hAPP @t3911 @t3895) @t2588) (tptp.hAPP @t3894 (tptp.hAPP (tptp.hAPP @t3951 (tptp.hAPP (tptp.hAPP @t3950 @t3911) @t1473)) @t2588))))) % 6.34/6.56 (assume @p2867 (forall (@list @t628 @t696 @t2 @t2033 @t127 @t30) (=> @t3932 (=> (tptp.hBOOL (tptp.hAPP @t3955 @t2033)) (= @t2433 @t3953))))) % 6.34/6.56 (assume @p2868 (forall (@list @t1586 @t3622 @t1235 @t127 @t30) (=> @t3941 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t3936 @t3622)) @t1586)) (forall @t8 (=> @t3284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t3956) @t1586)))))))) % 6.34/6.56 (assume @p2869 (forall (@list @t2 @t1235 @t127 @t140 @t30) (=> @t3957 (= (tptp.hBOOL (tptp.hAPP @t508 (tptp.hAPP @t3936 @t2))) (exists @t8 (and @t3284 (tptp.hBOOL (tptp.hAPP @t508 @t6)))))))) % 6.34/6.56 (assume @p2870 (forall @t3959 (= (tptp.hBOOL (tptp.hAPP @t3036 @t3924)) (exists @t8 (and @t3284 @t3958))))) % 6.34/6.56 (assume @p2871 (forall @t3964 (=> @t3963 (=> @t3022 (= (tptp.hAPP @t3962 @t3960) @t3622))))) % 6.34/6.56 (assume @p2872 (forall @t3966 (= (= @t3924 @t2815) @t3965))) % 6.34/6.56 (assume @p2873 (forall @t3302 (and (=> @t2820 (= @t3969 @t3290)) (=> @t3022 (= @t3969 @t25))))) % 6.34/6.56 (assume @p2874 (forall (@list @t1235 @t30 @t127) (= (tptp.hAPP @t3922 (tptp.hAPP @t3970 @t2815)) @t2815))) % 6.34/6.56 (assume @p2875 (forall @t3804 (= (= @t2815 @t3924) @t3965))) % 6.34/6.56 (assume @p2876 (forall @t3975 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3974) @t1473)) (forall @t8 (=> @t3972 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t2787) @t1473))))))) % 6.34/6.56 (assume @p2877 (forall @t3978 (= (tptp.hAPP (tptp.hAPP @t3911 @t3977) @t1473) (tptp.hAPP @t3894 @t3976)))) % 6.34/6.56 (assume @p2878 (forall (@list @t1473 @t1235 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t3261 @t3895) (tptp.hAPP @t3894 (tptp.hAPP (tptp.hAPP @t3891 @t3261) @t1473))))) % 6.34/6.56 (assume @p2879 (forall @t3982 (= (tptp.hAPP @t3922 @t3981) (tptp.hAPP @t3980 @t1473)))) % 6.34/6.56 (assume @p2880 (forall @t3983 (= (tptp.hAPP (tptp.hAPP @t3911 @t3270) @t3622) (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP @t3922 @t3622)) (tptp.hAPP @t3912 @t3622))))) % 6.34/6.56 (assume @p2881 (forall @t3988 (= (tptp.hAPP @t3973 @t3987) (tptp.hAPP (tptp.hAPP @t3148 @t3974) (tptp.hAPP @t3973 @t1473))))) % 6.34/6.56 (assume @p2882 (forall @t3996 (= (tptp.hAPP (tptp.hAPP @t3462 @t3974) (tptp.hAPP @t3994 @t1473)) (tptp.hAPP @t3973 (tptp.hAPP (tptp.hAPP @t3995 @t3994) (tptp.hAPP (tptp.hAPP @t3992 (tptp.hAPP @t3991 @t3989)) @t1473)))))) % 6.34/6.56 (assume @p2883 (forall @t4001 (= @t4000 @t3998))) % 6.34/6.56 (assume @p2884 (forall @t4003 (= (tptp.hAPP @t3514 @t3974) (tptp.hAPP @t3973 (tptp.hAPP (tptp.hAPP @t4002 @t3514) @t1235))))) % 6.34/6.56 (assume @p2885 (forall @t4006 (= @t4005 @t4004))) % 6.34/6.56 (assume @p2886 (forall @t4007 (= @t3998 @t4000))) % 6.34/6.56 (assume @p2887 (forall @t4007 (= @t4004 @t4005))) % 6.34/6.56 (assume @p2888 (forall @t4009 (=> @t3941 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t3939) @t1235) @t2) @t378) (tptp.hAPP @t3936 @t4008))))) % 6.34/6.56 (assume @p2889 (forall @t4001 (= @t4011 @t4010))) % 6.34/6.56 (assume @p2890 (forall @t4007 (= @t4010 @t4011))) % 6.34/6.56 (assume @p2891 (forall @t3852 (=> @t3963 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t4012) (tptp.hAPP (tptp.hAPP @t3961 @t1473) @t2))))))) % 6.34/6.56 (assume @p2892 (forall @t4014 (=> @t3963 (=> @t3820 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t4013) (tptp.hAPP @t3962 @t3622))))))) % 6.34/6.56 (assume @p2893 (forall @t4018 (=> @t4017 (= (tptp.hAPP @t3879 @t4016) (tptp.hAPP @t3288 @t3880))))) % 6.34/6.56 (assume @p2894 (forall @t3758 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t3882) @t3880))))) % 6.34/6.56 (assume @p2895 (forall @t4022 (=> @t4021 (= (tptp.hAPP (tptp.hAPP @t3268 @t4020) @t4019) @t4019)))) % 6.34/6.56 (assume @p2896 (forall @t4029 (and (=> @t4027 (= @t4026 @t3370)) (=> @t4028 (= @t4026 @t4024))))) % 6.34/6.56 (assume @p2897 (forall @t2602 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t2371) @t1235) @t2947) @t1235))) % 6.34/6.56 (assume @p2898 (forall @t4029 (and (=> @t4027 (= @t4024 @t3290)) (=> @t4028 (= @t4024 @t4026))))) % 6.34/6.56 (assume @p2899 (forall @t4032 (and (=> @t4027 (= @t4031 @t3290)) (=> @t4028 (= @t4031 @t4030))))) % 6.34/6.56 (assume @p2900 (forall @t4032 (and (=> @t4027 (= @t4036 @t3290)) (=> @t4028 (= @t4036 @t4033))))) % 6.34/6.56 (assume @p2901 (forall @t4032 (and (=> @t4027 (= @t4030 @t1235)) (=> @t4028 (= @t4030 @t4031))))) % 6.34/6.56 (assume @p2902 (forall @t4032 (and (=> @t4027 (= @t4033 @t1473)) (=> @t4028 (= @t4033 @t4036))))) % 6.34/6.56 (assume @p2903 (forall @t4038 (= (tptp.hAPP (tptp.hAPP @t3911 @t4037) @t1473) (tptp.hAPP (tptp.hAPP @t3148 @t3882) @t3924)))) % 6.34/6.56 (assume @p2904 (forall (@list @t140 @t2 @t465 @t4039 @t4044 @t127 @t4043 @t4048 @t30) (=> @t4049 (=> @t4047 (=> @t4046 (=> (tptp.hBOOL (tptp.hAPP @t4045 @t4044)) (tptp.c_Equiv__Relations_Ocongruent @t30 @t2475 @t4043 (tptp.hAPP (tptp.hAPP @t4042 (tptp.hAPP @t3943 (tptp.hAPP @t4040 @t3370))) @t2)))))))) % 6.34/6.56 (assume @p2905 (forall @t720 (= (tptp.hAPP @t713 @t628) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2422 @t3121) @t4053) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t3121) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4052 @t4052 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t3121 @t3121 tptp.tc_Nat_Onat) @t3309)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3121 @t4052) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4051 (tptp.tc_fun @t3121 @t4052) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t3121 @t3121)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2495 @t4051 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t2422 @t4050 tptp.tc_Nat_Onat) @t3119)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2422) @t2204)))) @t3138)))))))) % 6.34/6.56 (assume @p2906 (forall (@list @t83 @t84 @t2 @t465 @t4039 @t4044 @t127 @t4043 @t4048 @t30) (=> @t4049 (=> @t4047 (=> @t4046 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t84) @t4048)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3263 @t83) @t4044)) (= (tptp.hAPP (tptp.hAPP @t4055 (tptp.hAPP (tptp.c_Relation_OImage @t30 @t30 @t4043) (tptp.hAPP @t4054 @t2815))) (tptp.hAPP (tptp.hAPP @t4042 (tptp.hAPP @t3943 (tptp.hAPP @t4040 (tptp.hAPP (tptp.hAPP @t3287 @t83) @t3290)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t84) @t83))))))))) % 6.34/6.56 (assume @p2907 (forall (@list @t465 @t127 @t25 @t64 @t1473 @t1235 @t140 @t30) (=> @t3003 (=> @t4058 @t4057)))) % 6.34/6.56 (assume @p2908 (forall @t700 (= (= @t4059 (tptp.hAPP tptp.c_Int_ORep__Integ @t696)) @t894))) % 6.34/6.56 (assume @p2909 (forall @t1825 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t4059) @t378))) % 6.34/6.56 (assume @p2910 (forall (@list @t4060 @t4062 @t4061 @t4063 @t2 @t4039 @t4043 @t465 @t127 @t30) (=> @t4064 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 @t4063) @t4061)) @t4043)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3103 (tptp.hAPP (tptp.hAPP @t3101 @t4062) @t4060)) @t4039)) (= (tptp.hAPP (tptp.hAPP @t2 @t4063) @t4062) (tptp.hAPP (tptp.hAPP @t2 @t4061) @t4060))))))) % 6.34/6.56 (assume @p2911 (forall @t720 (= @t719 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2422 @t2246) @t4053) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2246 @t4066) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4065 (tptp.tc_fun @t2246 @t4066) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t2246 @t2246)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2196 @t4065 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2954 tptp.tc_Nat_Onat) @t3615)) @t1459))) @t3339))))))) % 6.34/6.56 (assume @p2912 (forall (@list @t140 @t2 @t4039 @t465 @t127 @t4043 @t1235 @t30) (=> (tptp.c_Equiv__Relations_Oequiv @t30 @t1235 @t4043) (=> @t4064 (=> @t3003 (tptp.c_Equiv__Relations_Ocongruent @t127 @t465 @t4039 @t2416)))))) % 6.34/6.56 (assume @p2913 (forall (@list @t141 @t164 @t2 @t127 @t2033 @t1235 @t30) (=> @t3389 (=> @t3923 (=> (= @t4073 (tptp.hAPP (tptp.hAPP @t3878 @t141) @t2)) (=> @t3472 (=> @t3470 (=> (forall @t8 (=> @t3020 (forall @t415 (=> @t4072 (=> @t4070 @t4068))))) @t3467)))))))) % 6.34/6.56 (assume @p2914 (forall (@list @t1473 @t4074 @t4075 @t2 @t465 @t4039 @t4044 @t127 @t4043 @t4048 @t30) (=> @t4049 (=> @t4047 (=> @t4046 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t4075) (tptp.hAPP (tptp.hAPP @t3460 @t4048) @t4043))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4078 @t4074) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t127) @t4044) @t4039))) (=> (forall @t1072 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t1070) @t4048)) (forall (@list @t4077) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3263 @t4077) @t4044)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t2 @t1070) @t4077)) @t1473)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP (tptp.hAPP @t4055 @t4075) (tptp.hAPP (tptp.hAPP @t4042 (tptp.hAPP @t3943 @t4074)) @t2))) @t1473)))))))))) % 6.34/6.56 (assume @p2915 (forall (@list @t1473 @t164 @t2 @t127 @t2033 @t1235 @t30) (=> @t3389 (=> @t3923 (=> @t3472 (=> (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4078 @t6) @t1473)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4078 @t4073) @t1473)))))))) % 6.34/6.56 (assume @p2916 (forall @t4080 (= @t4057 (exists @t8 (and @t3020 @t4079))))) % 6.34/6.56 (assume @p2917 (forall @t2602 (= @t4082 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t3071) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3071 @t3071) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3064 (tptp.tc_fun @t3071 @t3071) @t30) @t3307) @t4081)) @t3073))))) % 6.34/6.56 (assume @p2918 (forall @t3474 (= @t4089 (and (forall @t8 (=> @t3931 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3929 (tptp.hAPP @t4088 @t4084)) @t4)))) @t4083)))) % 6.34/6.56 (assume @p2919 (forall @t3843 (=> @t3754 (=> @t3403 (=> @t3414 (=> @t3503 (= @t4096 @t4095))))))) % 6.34/6.56 (assume @p2920 (forall (@list @t628 @t1 @t2 @t127 @t30) (= (tptp.hAPP @t4098 @t3290) @t628))) % 6.34/6.56 (assume @p2921 (forall @t2602 (tptp.c_Relation_Orefl__on @t30 @t1235 @t4082))) % 6.34/6.56 (assume @p2922 (forall @t2602 (= @t4082 (tptp.hAPP @t3929 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 tptp.tc_HOL_Obool @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4099 (tptp.tc_fun tptp.tc_HOL_Obool @t2371) @t30) (tptp.c_COMBC @t30 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t4100 tptp.c_fequal))) @t1235))))) % 6.34/6.56 (assume @p2923 (forall (@list @t1235 @t3404 @t1 @t628 @t2 @t127 @t30) (=> @t3445 (=> @t3444 (= @t3435 @t4101))))) % 6.34/6.56 (assume @p2924 (forall @t1809 (tptp.c_Relation_Orefl__on @t30 @t2815 @t3073))) % 6.34/6.56 (assume @p2925 (forall @t4103 (=> @t4089 (=> @t4102 (tptp.c_Relation_Orefl__on @t30 @t3150 @t3361))))) % 6.34/6.56 (assume @p2926 (forall @t4103 (=> @t4089 (=> @t4102 (tptp.c_Relation_Orefl__on @t30 @t3464 (tptp.hAPP @t4105 @t61)))))) % 6.34/6.56 (assume @p2927 (forall @t1809 (= (tptp.c_Relation_OId__on @t30 @t2815) @t3073))) % 6.34/6.56 (assume @p2928 (forall @t2504 (= (tptp.hAPP (tptp.c_Relation_OImage @t30 @t30 @t4082) @t1473) @t3464))) % 6.34/6.56 (assume @p2929 (forall @t3814 (=> @t3754 (=> @t3403 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4090 @t3813) @t3794) @t1235) (tptp.hAPP @t4094 (tptp.hAPP (tptp.hAPP @t4106 @t3794) @t1235))))))) % 6.34/6.56 (assume @p2930 (forall @t3401 (=> @t4089 (=> @t3400 @t3035)))) % 6.34/6.56 (assume @p2931 (forall @t3401 (=> @t4089 (=> @t3400 @t2987)))) % 6.34/6.56 (assume @p2932 (forall @t3394 (=> @t4089 (=> @t3003 @t4108)))) % 6.34/6.56 (assume @p2933 (forall (@list @t628 @t1 @t140 @t1235 @t30 @t127) (=> @t4112 (=> @t3403 (=> @t3026 (= (tptp.hAPP @t4109 @t2823) (tptp.hAPP (tptp.hAPP @t3753 @t4111) @t4110))))))) % 6.34/6.56 (assume @p2934 (forall @t3798 (=> @t3754 (and @t4113 @t3797)))) % 6.34/6.56 (assume @p2935 (forall @t3798 (=> @t3754 @t4113))) % 6.34/6.56 (assume @p2936 (forall @t2829 (= (tptp.hBOOL (tptp.hAPP @t3079 @t4082)) (and @t894 @t2987)))) % 6.34/6.56 (assume @p2937 (forall @t3038 (=> @t759 (=> @t3003 (tptp.hBOOL (tptp.hAPP @t3363 @t4082)))))) % 6.34/6.56 (assume @p2938 (forall @t3843 (=> @t3754 (=> @t3403 (=> @t3414 (= @t4095 (tptp.hAPP (tptp.hAPP @t3753 @t4096) (tptp.hAPP @t4092 @t3464)))))))) % 6.34/6.56 (assume @p2939 (forall @t3713 (=> @t3403 (= @t3274 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t2742 @t30 @t3268) (tptp.hAPP (tptp.hAPP @t2777 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t2775 @t30) @t3287) @t2)) @t3290)) @t3290) @t1235))))) % 6.34/6.56 (assume @p2940 (forall @t2602 @t4115)) % 6.34/6.56 (assume @p2941 (forall @t2602 (and @t4115 @t3706))) % 6.34/6.56 (assume @p2942 (forall @t4121 (=> @t4120 (and @t4119 @t4118)))) % 6.34/6.56 (assume @p2943 (forall @t3861 (=> @t3754 (=> @t3670 (=> @t3860 (=> @t3859 (= (tptp.hAPP @t4122 @t3856) (tptp.hAPP (tptp.hAPP @t3753 @t4123) (tptp.hAPP @t4122 @t3853))))))))) % 6.34/6.56 (assume @p2944 (forall @t3016 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t25) @t4082)) (not (forall @t8 (=> @t3020 (not (= @t25 @t3063)))))))) % 6.34/6.56 (assume @p2945 (forall @t4121 (=> @t4120 @t4118))) % 6.34/6.56 (assume @p2946 (forall @t4130 (=> @t1228 (=> @t4129 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t3455)) (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t4125)))))))) % 6.34/6.56 (assume @p2947 (forall @t4130 (=> @t1228 (=> @t4131 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t3455)) (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t4125)))))))) % 6.34/6.56 (assume @p2948 (forall @t4130 (=> @t1228 (=> @t4129 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 @t3621) (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t4125)))))))) % 6.34/6.56 (assume @p2949 (forall @t4130 (=> @t1228 (=> @t4131 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 @t3660) (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t4125)))))))) % 6.34/6.56 (assume @p2950 (forall @t4130 (=> @t3204 (=> (forall @t2509 (= (tptp.hAPP @t218 @t3653) (tptp.hAPP (tptp.hAPP @t3486 @t4128) @t4127))) (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t3455)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t4125)))))))) % 6.34/6.56 (assume @p2951 (forall @t4130 (=> @t3204 (=> (forall @t2509 (= (tptp.hAPP @t218 @t3654) (tptp.hAPP (tptp.hAPP @t3155 @t4128) @t4127))) (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t3455)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t4125)))))))) % 6.34/6.56 (assume @p2952 (forall @t4135 (=> @t3754 (=> @t3860 (=> @t4134 (=> @t4133 (= @t3854 @t3855))))))) % 6.34/6.56 (assume @p2953 (forall @t4135 (=> @t3754 (=> @t3860 (=> @t4134 (=> @t4133 (= @t3855 @t3854))))))) % 6.34/6.56 (assume @p2954 (forall @t2602 (=> @t3403 (= (tptp.hAPP @t4138 @t4137) (tptp.hAPP (tptp.hAPP @t1765 @t1946) @t3696))))) % 6.34/6.56 (assume @p2955 (forall @t2504 (=> @t2503 @t4141))) % 6.34/6.56 (assume @p2956 (forall @t2602 (tptp.hBOOL (tptp.hAPP @t4140 @t4137)))) % 6.34/6.56 (assume @p2957 (forall @t2602 (= (tptp.hBOOL (tptp.hAPP @t4142 @t4137)) @t3403))) % 6.34/6.56 (assume @p2958 (forall @t3271 (=> (= @t3262 @t1473) (= @t4143 @t4139)))) % 6.34/6.56 (assume @p2959 (forall @t2824 (= (tptp.hAPP @t4136 @t2823) (tptp.hAPP @t4145 (tptp.hAPP (tptp.c_Set_Oimage @t2371 @t2371 @t2822) @t4137))))) % 6.34/6.56 (assume @p2960 (forall @t2602 (not (= @t4137 @t3473)))) % 6.34/6.56 (assume @p2961 (forall @t2504 (= (tptp.hAPP @t4136 @t3464) (tptp.hAPP (tptp.hAPP @t4146 @t4137) @t4139)))) % 6.34/6.56 (assume @p2962 (forall @t3162 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t2815) @t4139)))) % 6.34/6.56 (assume @p2963 (forall @t2504 (=> @t4141 @t2503))) % 6.34/6.56 (assume @p2964 (forall @t2504 (= @t4141 @t2503))) % 6.34/6.56 (assume @p2965 (forall @t2504 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 @t4137) @t4139))))) % 6.34/6.56 (assume @p2966 (forall @t2504 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 (tptp.hAPP @t4145 @t4139)) (tptp.hAPP @t4136 @t3150))))) % 6.34/6.56 (assume @p2967 (forall @t3298 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3262) @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 @t4143) @t4139))))) % 6.34/6.56 (assume @p2968 (forall @t1809 (= (tptp.hAPP @t4136 @t2815) (tptp.hAPP (tptp.hAPP @t3560 @t2815) @t3473)))) % 6.34/6.56 (assume @p2969 (forall @t2821 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t30 @t4084) @t378)) (tptp.hBOOL (tptp.hAPP @t4147 @t4137))))) % 6.34/6.56 (assume @p2970 (forall @t3804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t2944) @t1235) @t4148)) (tptp.hAPP @t4136 @t3924))))) % 6.34/6.56 (assume @p2971 (forall @t3474 (=> @t3403 (=> @t4149 (= (tptp.hAPP @t4138 @t3468) @t3696))))) % 6.34/6.56 (assume @p2972 (forall (@list @t27 @t1235 @t30) (=> @t3403 (=> (tptp.hBOOL (tptp.hAPP @t27 @t1235)) (=> (forall @t4155 (=> (tptp.hBOOL (tptp.hAPP @t3391 @t4152)) (=> @t4154 (=> (tptp.hBOOL (tptp.hAPP @t27 @t4152)) (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP (tptp.hAPP @t2583 @t4152) (tptp.hAPP @t4151 @t2815)))))))) @t4150))))) % 6.34/6.56 (assume @p2973 (forall @t3906 (=> @t1228 (=> @t4159 (=> @t3904 (= (tptp.hAPP @t4158 @t4156) @t3867)))))) % 6.34/6.56 (assume @p2974 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3412 @t4160)))) % 6.34/6.56 (assume @p2975 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3411 @t4161)))) % 6.34/6.56 (assume @p2976 (forall @t4167 (= (tptp.hAPP @t4166 @t4163) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1547 @t4162)))) % 6.34/6.56 (assume @p2977 (forall @t4171 (= (tptp.hAPP @t4170 @t4163) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t4169 @t4168)))) % 6.34/6.56 (assume @p2978 (forall @t341 (= @t4172 (tptp.hAPP @t3324 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t634 @t633))))) % 6.34/6.56 (assume @p2979 (forall @t3292 (=> (tptp.hBOOL (tptp.hAPP @t3391 @t3262)) (=> @t4173 @t3444)))) % 6.34/6.56 (assume @p2980 (forall @t3292 (=> @t4175 @t4174))) % 6.34/6.56 (assume @p2981 (forall @t341 (=> (tptp.c_Nat__Transfer_Ois__nat @t325) (=> (tptp.c_Nat__Transfer_Ois__nat @t23) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t325 @t23) (tptp.hAPP @t3320 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t325) (tptp.hAPP tptp.c_Int_Onat @t23)))))))) % 6.34/6.56 (assume @p2982 (forall @t700 (=> @t2113 @t4176))) % 6.34/6.56 (assume @p2983 (forall @t745 (=> @t671 (= @t4179 @t4177)))) % 6.34/6.56 (assume @p2984 (forall @t745 (=> @t671 (= (= @t2815 @t4178) @t4177)))) % 6.34/6.56 (assume @p2985 (forall @t363 (=> @t671 (=> @t856 @t4179)))) % 6.34/6.56 (assume @p2986 (forall @t824 (=> @t671 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4178) @t4183)) (or @t4177 @t4182))))) % 6.34/6.56 (assume @p2987 (forall @t745 (=> @t671 (=> @t759 (= @t4178 @t2839))))) % 6.34/6.56 (assume @p2988 (forall @t401 (=> @t671 (= (= @t4178 (tptp.hAPP @t2833 @t2815)) @t3618)))) % 6.34/6.56 (assume @p2989 (forall @t359 (=> @t671 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t140 @t140) @t2839)))) % 6.34/6.56 (assume @p2990 (forall @t875 (=> @t789 (= (tptp.hAPP @t3667 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t378 @t696)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t1189 @t1190))))) % 6.34/6.56 (assume @p2991 (forall @t3733 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3863 @t1586) @t3876))) % 6.34/6.56 (assume @p2992 (forall @t3809 (=> @t3403 (=> (tptp.hBOOL (tptp.hAPP @t2502 @t4186)) @t4184)))) % 6.34/6.56 (assume @p2993 (forall @t3809 (=> @t3403 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4186) @t1235)) (=> @t4184 (= @t4186 @t1235)))))) % 6.34/6.56 (assume @p2994 (forall @t3713 (=> @t3403 (= @t4175 @t4174)))) % 6.34/6.56 (assume @p2995 (forall @t3713 (=> @t3403 (=> @t4174 @t4175)))) % 6.34/6.56 (assume @p2996 (forall @t3292 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP @t3695 @t3262)) @t4187)) (not @t4173)))) % 6.34/6.56 (assume @p2997 (forall @t700 (=> @t1068 @t4176))) % 6.34/6.56 (assume @p2998 (forall @t3733 (= (tptp.hAPP @t3702 @t4160) (tptp.hAPP (tptp.hAPP @t1459 @t4188) @t1539)))) % 6.34/6.56 (assume @p2999 (forall @t341 (=> @t1151 (= @t4189 (tptp.hAPP (tptp.hAPP @t3615 @t109) @t4172))))) % 6.34/6.56 (assume @p3000 (forall @t3733 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3730 @t1586) @t3877))) % 6.34/6.56 (assume @p3001 (forall (@list @t1 @t1473 @t1235 @t2 @t127 @t30) (=> @t4175 (=> @t4191 (=> (tptp.c_Fun_Oinj__on @t127 @t30 @t1 @t1473) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t4190 @t1473)) @t1235)) (=> @t3403 (=> @t3418 (= @t3696 @t3737))))))))) % 6.34/6.56 (assume @p3002 (forall @t824 (=> @t1228 (= (tptp.hAPP @t4192 @t4183) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t3846 @t3845))))) % 6.34/6.56 (assume @p3003 (forall @t824 (=> @t671 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2594 @t4178) @t4183)) (and (or @t4177 (and @t4181 @t4180 (or (tptp.hBOOL (tptp.hAPP @t861 @t140)) (tptp.hBOOL (tptp.hAPP @t788 @t819))))) @t1484))))) % 6.34/6.56 (assume @p3004 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3904 (= (tptp.hAPP @t4195 @t3901) @t4193)))))) % 6.34/6.56 (assume @p3005 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4196 @t3901) @t2815)))) % 6.34/6.56 (assume @p3006 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4196 @t3913) @t2815)))) % 6.34/6.56 (assume @p3007 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4197 @t4156) @t2815)))) % 6.34/6.56 (assume @p3008 (forall (@list @t178 @t1545) (and (=> @t4200 (= @t4199 @t3338)) (=> (not @t4200) (= @t4199 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t178) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t4198 @t1545))))))) % 6.34/6.56 (assume @p3009 (forall @t3739 (=> @t3403 (=> @t3418 (= (exists @t4205 (and @t4204 (tptp.hBOOL (tptp.hAPP @t4203 @t1473)))) @t4201))))) % 6.34/6.56 (assume @p3010 (forall @t3298 (=> @t4175 (=> @t4191 (=> @t3418 @t4201))))) % 6.34/6.56 (assume @p3011 (forall (@list @t140 @t1235 @t2033 @t30) (=> @t4149 (=> @t3003 (= (tptp.hAPP (tptp.hAPP @t3460 @t2919) @t2033) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t2944) @t3468) (tptp.hAPP (tptp.hAPP @t3460 @t2839) @t2033))))))) % 6.34/6.56 (assume @p3012 (forall @t3733 (= (tptp.hAPP @t3701 @t4161) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t626 @t3914) @t901))))) % 6.34/6.56 (assume @p3013 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4206 @t3867) @t4193))))) % 6.34/6.56 (assume @p3014 (forall @t3298 (= @t4210 (and @t4175 @t4209 (= (tptp.hAPP (tptp.hAPP @t3547 @t4208) (tptp.hAPP @t3272 @t3183)) @t3290))))) % 6.34/6.56 (assume @p3015 (forall @t4212 (= (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t2823) (and @t4175 (not (tptp.hBOOL (tptp.hAPP @t4211 (tptp.hAPP @t3272 @t2919)))))))) % 6.34/6.56 (assume @p3016 (forall @t2602 (=> @t789 (tptp.c_Fun_Oinj__on @t30 @t30 @t740 @t1235)))) % 6.34/6.56 (assume @p3017 (forall @t3793 (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t2815))) % 6.34/6.56 (assume @p3018 (forall @t3770 (tptp.c_Fun_Oinj__on @t30 @t2684 @t468 @t1235))) % 6.34/6.56 (assume @p3019 (forall @t3770 (tptp.c_Fun_Oinj__on @t30 @t3756 @t3755 @t1235))) % 6.34/6.56 (assume @p3020 (forall @t3459 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t3455))) % 6.34/6.56 (assume @p3021 (forall @t2602 (tptp.c_Fun_Oinj__on @t30 @t2717 @t431 @t1235))) % 6.34/6.56 (assume @p3022 (forall (@list @t3455 @t327) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4165 @t3455))) % 6.34/6.56 (assume @p3023 (forall @t3770 (tptp.c_Fun_Oinj__on @t2450 @t2687 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t2687) @t4213) @t1235))) % 6.34/6.56 (assume @p3024 (forall @t3292 (= @t4175 (forall @t8 (=> @t3020 (forall @t3502 (=> @t4215 (=> (= @t6 @t4214) @t3499)))))))) % 6.34/6.56 (assume @p3025 (forall @t4216 (= (tptp.hAPP (tptp.c_Set_Oimage @t30 @t30 @t2221) @t141) @t141))) % 6.34/6.56 (assume @p3026 (forall @t2602 (tptp.c_Fun_Oinj__on @t30 @t30 @t2221 @t1235))) % 6.34/6.56 (assume @p3027 (forall @t4218 (=> @t4175 (=> @t4217 (=> @t2987 (=> @t3035 @t894)))))) % 6.34/6.56 (assume @p3028 (forall @t4218 (=> @t4175 (=> @t2987 (=> @t3035 @t4219))))) % 6.34/6.56 (assume @p3029 (forall @t4218 (=> @t4175 (=> @t1227 (=> @t2987 (=> @t3035 @t4220)))))) % 6.34/6.56 (assume @p3030 (forall @t4221 (=> @t4209 (=> @t2503 @t4175)))) % 6.34/6.56 (assume @p3031 (forall @t3298 (=> @t4175 (=> @t4209 (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t3464))))) % 6.34/6.56 (assume @p3032 (forall @t3298 (=> @t4175 (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t2585)))) % 6.34/6.56 (assume @p3033 (forall @t2602 (not (exists @t4205 (= (tptp.hAPP (tptp.c_Set_Oimage @t30 @t2371 @t4202) @t1235) @t4137))))) % 6.34/6.56 (assume @p3034 (forall @t3298 (=> @t4210 @t4222))) % 6.34/6.56 (assume @p3035 (forall @t4221 (=> @t4209 (=> @t2596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t2742) @t3274) @t3273)))))) % 6.34/6.56 (assume @p3036 (forall @t4225 (=> @t4224 (=> @t2590 (=> @t2592 @t4223))))) % 6.34/6.56 (assume @p3037 (forall @t4225 (=> @t4224 (=> @t2590 (=> @t2592 @t4226))))) % 6.34/6.56 (assume @p3038 (forall (@list @t3342 @t127 @t30 @t1235) (=> @t3022 (= (exists @t4205 (and @t4204 (tptp.hBOOL (tptp.hAPP @t4203 @t3342)))) (exists (@list @t4227) (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 @t4227) @t3342) @t1235)))))) % 6.34/6.56 (assume @p3039 (forall @t4232 (= (exists @t478 (and @t4231 @t4230)) (exists @t8 (and @t4229 @t1059))))) % 6.34/6.56 (assume @p3040 (forall @t4232 (= (forall @t478 (=> @t4231 @t4230)) (forall @t8 (=> @t4229 @t1059))))) % 6.34/6.56 (assume @p3041 (forall @t4246 (=> @t4245 (=> @t4244 (forall @t8 (=> @t4242 (=> @t4235 (tptp.hBOOL (tptp.hAPP @t4234 @t4233))))))))) % 6.34/6.56 (assume @p3042 (forall @t4252 (=> @t4245 (=> @t4251 (forall @t8 (=> @t4249 (=> @t4248 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t4247) @t69))))))))) % 6.34/6.56 (assume @p3043 (forall @t4252 (=> @t4245 (=> @t4255 (forall @t8 (=> @t4249 (=> @t4253 (not (= @t4247 @t69))))))))) % 6.34/6.56 (assume @p3044 (forall @t4246 (=> @t4245 (=> @t4244 (=> (forall @t8 (=> @t4256 (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP @t4240 @t1473)) (not (= @t69 (tptp.hAPP (tptp.hAPP @t626 @t3498) @t4))))))) (= (tptp.hAPP @t4243 @t2587) @t69)))))) % 6.34/6.56 (assume @p3045 (forall @t4252 (=> @t4245 (=> @t4251 (=> (forall @t8 (=> @t4256 (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP @t4240 @t1235)) (not (= @t69 (tptp.hAPP (tptp.hAPP @t1454 @t3498) @t4))))))) (= (tptp.hAPP @t4250 @t2587) @t69)))))) % 6.34/6.56 (assume @p3046 (forall @t4252 (=> @t4245 (=> @t4255 (forall @t8 (=> @t4249 (=> @t4257 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t4247) @t69))))))))) % 6.34/6.56 (assume @p3047 (forall @t4246 (=> @t4245 (=> @t4258 (forall @t8 (=> @t4242 (=> @t4253 (not (= @t4233 @t69))))))))) % 6.34/6.56 (assume @p3048 (forall @t4246 (=> @t4245 (=> @t4258 (forall @t8 (=> @t4242 (=> @t4260 (tptp.hBOOL (tptp.hAPP @t4259 @t4233))))))))) % 6.34/6.56 (assume @p3049 (forall @t4261 (=> @t4245 (forall @t8 (=> @t4249 (=> @t4235 (tptp.hBOOL (tptp.hAPP @t4234 @t4247)))))))) % 6.34/6.56 (assume @p3050 (forall @t4262 (=> @t4245 (forall @t8 (=> @t4242 (=> @t4248 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t4233) @t69)))))))) % 6.34/6.56 (assume @p3051 (forall (@list @t27 @t819) (=> @t1468 (=> (forall @t2943 (= @t1059 (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t1611 (tptp.hAPP (tptp.hAPP @t710 @t595) @t819)))))) (= @t1074 (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t3382 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t901 @t819))) @t1059))))))) % 6.34/6.56 (assume @p3052 (forall @t4261 (=> @t4245 (forall @t8 (=> @t4249 (=> @t4260 (tptp.hBOOL (tptp.hAPP @t4259 @t4247)))))))) % 6.34/6.56 (assume @p3053 (forall @t4262 (=> @t4245 (forall @t8 (=> @t4242 (=> @t4257 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t4233) @t69)))))))) % 6.34/6.56 (assume @p3054 (forall (@list @t378 @t696 @t25) (and (=> @t4267 (= @t4264 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1525 @t25)) (tptp.hAPP (tptp.hAPP @t1459 @t696) @t25)))) (=> (not @t4267) (and (=> @t697 (= @t4264 @t4266)) (=> (not @t697) (= @t4264 @t3339))))))) % 6.34/6.56 (assume @p3055 (forall @t4271 (=> @t4270 (forall @t8 (=> @t4242 (=> @t4269 @t4268)))))) % 6.34/6.56 (assume @p3056 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3412 @t4273)))) % 6.34/6.56 (assume @p3057 (forall @t824 (=> @t1228 (=> @t4276 (=> @t509 (=> @t1487 @t2830)))))) % 6.34/6.56 (assume @p3058 (forall @t824 (=> @t1228 (=> @t4276 (=> @t509 (=> @t1487 @t2831)))))) % 6.34/6.56 (assume @p3059 (forall @t824 (=> @t1228 (=> @t509 (=> @t1487 (= @t4276 @t2832)))))) % 6.34/6.56 (assume @p3060 (forall @t4232 (= (forall @t478 (=> @t4280 @t4230)) (forall @t8 (=> @t4279 @t1059))))) % 6.34/6.56 (assume @p3061 (forall @t4232 (= (exists @t478 (and @t4280 @t4230)) (exists @t8 (and @t4279 @t1059))))) % 6.34/6.56 (assume @p3062 (forall @t3733 (= (tptp.hAPP @t4272 @t4188) @t4160))) % 6.34/6.56 (assume @p3063 (forall @t2023 (= (tptp.hAPP @t4281 @t214) @t3339))) % 6.34/6.56 (assume @p3064 (forall @t3733 (= (tptp.hAPP @t3702 @t4273) @t3908))) % 6.34/6.56 (assume @p3065 (forall @t4171 (= (tptp.hAPP @t4170 @t4283) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t4169) @t4168)))) % 6.34/6.56 (assume @p3066 (forall @t363 (=> @t671 (=> @t1081 @t4284)))) % 6.34/6.56 (assume @p3067 (forall @t745 (=> @t671 (= (= @t2815 @t4275) @t4285)))) % 6.34/6.56 (assume @p3068 (forall @t745 (=> @t671 (= @t4284 @t4285)))) % 6.34/6.56 (assume @p3069 (forall @t824 (=> @t1228 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4275) @t4274)) (or @t1081 @t4182))))) % 6.34/6.56 (assume @p3070 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3904 (= (tptp.hAPP @t4290 @t4288) @t4287)))))) % 6.34/6.56 (assume @p3071 (forall (@list @t325 @t23 @t178 @t30) (=> @t1228 (=> (tptp.hBOOL (tptp.hAPP @t4292 @t23)) (= (tptp.hAPP (tptp.hAPP @t2583 (tptp.hAPP @t4291 @t325)) (tptp.hAPP @t4291 @t23)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t23) @t325)))))) % 6.34/6.56 (assume @p3072 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4293 @t4288) @t2815)))) % 6.34/6.56 (assume @p3073 (forall @t3733 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3863) @t1586) @t3862))) % 6.34/6.56 (assume @p3074 (forall @t4167 (= (tptp.hAPP @t4166 @t4283) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1547) @t4162)))) % 6.34/6.56 (assume @p3075 (forall @t2023 (= (tptp.hAPP @t4281 @t534) (tptp.hAPP (tptp.hAPP @t3615 @t325) @t3339)))) % 6.34/6.56 (assume @p3076 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3904 (= (tptp.hAPP @t4290 @t4156) @t4193)))))) % 6.34/6.56 (assume @p3077 (forall @t1551 (=> @t1561 (= (tptp.hAPP @t4282 @t4162) (tptp.hAPP (tptp.hAPP @t3325 @t4283) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1545) @t4162)))))) % 6.34/6.56 (assume @p3078 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4293 @t4156) @t2815)))) % 6.34/6.56 (assume @p3079 (forall @t824 (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3462 @t4275) @t4274) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t3846) @t3845))))) % 6.34/6.56 (assume @p3080 (forall (@list @t327 @t1235) (=> (tptp.hBOOL (tptp.hAPP @t3329 @t4294)) (= @t1235 @t4294)))) % 6.34/6.56 (assume @p3081 (forall @t3906 (=> @t671 (= (tptp.hAPP @t4197 @t4288) @t2815)))) % 6.34/6.56 (assume @p3082 (forall @t875 (=> @t789 (= (tptp.hAPP @t3667 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t378 @t696)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t1189) @t1190))))) % 6.34/6.56 (assume @p3083 (forall @t875 (=> @t789 (= (tptp.hAPP @t3667 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t30 @t378) @t696)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t30 @t1189 @t1190))))) % 6.34/6.56 (assume @p3084 (forall @t341 (and (=> @t936 (= @t4295 (tptp.hAPP (tptp.hAPP @t3615 @t23) @t4296))) (=> @t1153 (= @t4295 @t3339))))) % 6.34/6.56 (assume @p3085 (forall @t3906 (=> @t1228 (=> @t4159 (=> @t3904 (= (tptp.hAPP @t4158 @t4288) @t3869)))))) % 6.34/6.56 (assume @p3086 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4297 @t3868) @t4193))))) % 6.34/6.56 (assume @p3087 (forall @t3873 (=> @t1228 (=> @t3872 (= (tptp.hAPP @t4206 @t3869) @t4287))))) % 6.34/6.56 (assume @p3088 (forall @t3906 (=> @t1228 (=> @t3905 (=> @t3917 (= (tptp.hAPP @t4195 @t3913) @t4287)))))) % 6.34/6.56 (assume @p3089 (forall @t4300 (=> @t4270 (forall @t8 (=> @t4249 (=> @t4299 (not @t4298))))))) % 6.34/6.56 (assume @p3090 (forall @t4271 (=> @t4270 (forall @t8 (=> @t4242 (=> @t4299 (not @t4268))))))) % 6.34/6.56 (assume @p3091 (forall @t4300 (=> @t4270 (forall @t8 (=> @t4249 (=> @t4269 @t4298)))))) % 6.34/6.56 (assume @p3092 (forall @t3733 (tptp.hBOOL (tptp.hAPP @t3411 @t4302)))) % 6.34/6.56 (assume @p3093 (forall @t4305 (tptp.hBOOL (tptp.hAPP @t3411 @t4304)))) % 6.34/6.56 (assume @p3094 (forall @t3733 (= (tptp.hAPP @t4301 (tptp.hAPP (tptp.hAPP @t626 @t1586) @t901)) @t4161))) % 6.34/6.56 (assume @p3095 (forall @t3733 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2324 @t626) @t1539)) (tptp.hAPP @t4303 @t3914)) @t4302))) % 6.34/6.56 (assume @p3096 (forall @t4305 (= (tptp.hAPP @t3701 @t4304) @t4306))) % 6.34/6.56 (assume @p3097 (forall @t3733 (= (tptp.hAPP @t3701 @t4302) @t3915))) % 6.34/6.56 (assume @p3098 (forall @t3733 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t3730) @t1586) @t3732))) % 6.34/6.56 (assume @p3099 (forall @t533 (= @t4308 (tptp.hAPP @t3324 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t636 @t633))))) % 6.34/6.56 (assume @p3100 (forall (@list @t696 @t2 @t127 @t1235 @t378 @t30) (and (=> @t2987 (= @t4313 (tptp.hAPP (tptp.hAPP @t3287 @t696) (tptp.hAPP @t3272 @t2990)))) (=> @t2988 (= @t4313 @t3274))))) % 6.34/6.56 (assume @p3101 (forall (@list @t1473 @t378 @t1235 @t2 @t127 @t30) (=> @t4175 (=> (tptp.hBOOL (tptp.hAPP @t3264 @t3274)) (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t4315) @t1473))))))) % 6.34/6.56 (assume @p3102 (forall @t4316 (= (tptp.hAPP @t4311 @t668) @t2))) % 6.34/6.56 (assume @p3103 (forall @t1928 (tptp.hBOOL (tptp.hAPP @t3412 @t4317)))) % 6.34/6.56 (assume @p3104 (forall @t875 (=> @t1228 (= (= @t4320 @t4319) @t894)))) % 6.34/6.56 (assume @p3105 (forall (@list @t64 @t2 @t127 @t30 @t140 @t378) (and (=> @t4322 (= @t4321 @t64)) (=> @t4323 (= @t4321 @t668))))) % 6.34/6.56 (assume @p3106 (forall @t4325 (= (= @t4312 @t2) @t4324))) % 6.34/6.56 (assume @p3107 (forall @t4326 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4309 @t4312) @t378) @t628) (tptp.hAPP @t4311 @t628)))) % 6.34/6.56 (assume @p3108 (forall (@list @t696 @t378 @t2 @t30 @t127) (= (tptp.hAPP @t4327 @t378) @t696))) % 6.34/6.56 (assume @p3109 (forall @t4331 (and (=> @t4329 (= @t4328 @t696)) @t4330))) % 6.34/6.56 (assume @p3110 (forall (@list @t819 @t64 @t325 @t127 @t30 @t25 @t140) (=> (not @t2831) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4332 @t140) @t64)) @t25) @t819) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4309 (tptp.hAPP (tptp.hAPP @t4332 @t25) @t819)) @t140) @t64))))) % 6.34/6.56 (assume @p3111 (forall @t4331 @t4330)) % 6.34/6.56 (assume @p3112 (forall (@list @t30 @t127 @t696 @t378 @t2) (=> @t4324 (= @t4327 @t2)))) % 6.34/6.56 (assume @p3113 (forall @t533 (= @t4228 @t4308))) % 6.34/6.56 (assume @p3114 (forall @t4305 (= (tptp.hAPP @t3702 (tptp.hAPP @t4307 @t1586)) @t4188))) % 6.34/6.56 (assume @p3115 (forall @t1928 (= (tptp.hAPP @t4307 @t974) (tptp.hAPP @t4333 @t4317)))) % 6.34/6.56 (assume @p3116 (forall @t4335 (=> @t2576 (= (tptp.hBOOL (tptp.hAPP @t3583 @t4334)) (tptp.hBOOL (tptp.hAPP @t4292 @t327)))))) % 6.34/6.56 (assume @p3117 (forall @t875 (=> @t671 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4320) @t4319)) @t1213)))) % 6.34/6.56 (assume @p3118 (forall (@list @t327 @t3622 @t23 @t30) (= (tptp.hAPP @t4337 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2371 tptp.tc_Nat_Onat) @t3622) @t4165)) (tptp.hAPP (tptp.hAPP @t4336 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t327 @t333)) @t3622)))) % 6.34/6.56 (assume @p3119 (forall @t4218 (=> @t4175 (=> @t4324 (=> @t2987 (= @t4338 @t378)))))) % 6.34/6.56 (assume @p3120 (forall @t4339 (=> @t4175 (=> @t2987 (= (tptp.hAPP @t4314 @t668) @t378))))) % 6.34/6.56 (assume @p3121 (forall @t3292 (=> @t4175 (tptp.c_Fun_Oinj__on @t127 @t30 @t4314 @t3274)))) % 6.34/6.56 (assume @p3122 (forall @t3292 (=> @t4175 (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 @t4314) @t3274) @t1235)))) % 6.34/6.56 (assume @p3123 (forall (@list @t378 @t696 @t1235 @t2 @t127 @t30) (=> @t4175 (=> (not @t4341) (tptp.c_Fun_Oinj__on @t30 @t127 @t4312 @t1235))))) % 6.34/6.56 (assume @p3124 (forall (@list @t378 @t2 @t1235 @t127 @t30) (= @t4315 (tptp.c_HOL_OThe @t30 (tptp.hAPP @t4345 (tptp.hAPP @t4343 @t378)))))) % 6.34/6.56 (assume @p3125 (= (tptp.hAPP @t4307 @t214) @t4266)) % 6.34/6.56 (assume @p3126 (forall (@list @t819 @t25 @t64 @t30) (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t4318 @t64)) @t4183) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t25 @t3845))))) % 6.34/6.56 (assume @p3127 (forall (@list @t819 @t64 @t140 @t30) (=> @t1228 (= (tptp.hAPP @t4192 (tptp.hAPP @t4318 @t819)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t140 @t3845))))) % 6.34/6.56 (assume @p3128 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4348 @t3867) @t4346))))) % 6.34/6.56 (assume @p3129 (forall @t3873 (=> @t671 (= (tptp.hAPP @t4349 @t3867) @t2815)))) % 6.34/6.56 (assume @p3130 (forall @t3873 (=> @t671 (= (tptp.hAPP @t4349 @t3869) @t2815)))) % 6.34/6.56 (assume @p3131 (forall (@list @t696 @t1235 @t2 @t127 @t30) (=> @t4175 (=> @t4341 (= (tptp.hAPP @t2 @t4338) @t696))))) % 6.34/6.56 (assume @p3132 (forall (@list @t3622 @t23 @t30) (= (tptp.hAPP @t4337 @t3622) (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP (tptp.hAPP @t4336 @t4350) @t3622)) (tptp.hAPP @t3622 @t214))))) % 6.34/6.56 (assume @p3133 (forall (@list @t378 @t327 @t69 @t127 @t30) (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t69) @t327) @t4353) @t4352)))) % 6.34/6.56 (assume @p3134 (forall @t4305 (=> (tptp.hBOOL (tptp.hAPP @t898 @t1586)) (= @t4304 (tptp.hAPP @t3320 (tptp.hAPP @t4355 @t4306)))))) % 6.34/6.56 (assume @p3135 (forall (@list @t696 @t325 @t127 @t1235 @t378 @t30) (=> @t2988 (= (tptp.hAPP (tptp.c_Set_Oimage @t30 @t4351 @t4359) @t1235) (tptp.hAPP (tptp.c_Set_Oimage @t30 @t4351 @t325) @t1235))))) % 6.34/6.56 (assume @p3136 (forall @t1928 (tptp.hBOOL (tptp.hAPP @t3412 @t4360)))) % 6.34/6.56 (assume @p3137 (forall @t4305 (= (tptp.hAPP @t3702 (tptp.hAPP @t4355 @t1586)) @t1586))) % 6.34/6.56 (assume @p3138 (forall @t875 (=> @t1228 (= (= @t4363 @t4362) @t894)))) % 6.34/6.56 (assume @p3139 (forall @t533 (= @t4278 @t4364))) % 6.34/6.56 (assume @p3140 (= (tptp.hAPP @t4355 @t214) @t3339)) % 6.34/6.56 (assume @p3141 (forall @t1928 (= @t4366 (tptp.hAPP @t4365 @t4360)))) % 6.34/6.56 (assume @p3142 (forall @t1928 (= @t4366 @t4317))) % 6.34/6.56 (assume @p3143 (forall @t4335 (=> @t2576 (= (tptp.hBOOL (tptp.hAPP @t3583 @t4367)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t178) @t327)))))) % 6.34/6.56 (assume @p3144 (forall @t875 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4363) @t4362)) @t1213)))) % 6.34/6.56 (assume @p3145 (forall @t622 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2594 (tptp.hAPP @t4361 @t325)) (tptp.hAPP @t4361 @t23))) (tptp.hBOOL (tptp.hAPP @t3916 @t23)))))) % 6.34/6.56 (assume @p3146 (forall (@list @t696 @t23 @t378 @t140 @t325 @t127 @t30) (=> (= (tptp.hAPP @t4368 @t4353) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t23) @t140) @t4356)) @t894))) % 6.34/6.56 (assume @p3147 (forall (@list @t127 @t378 @t30 @t327 @t69) (=> (= (tptp.hAPP @t69 @t327) @t2949) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4369 @t69) @t327) @t2949) @t69)))) % 6.34/6.56 (assume @p3148 (forall (@list @t696 @t378 @t64 @t140 @t325 @t30 @t127) (= (= (tptp.hAPP @t4373 @t378) @t4370) (or (and @t4322 (= @t64 @t696)) (and @t4323 (= @t4371 @t4370)))))) % 6.34/6.56 (assume @p3149 (forall @t2347 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t2583 @t4374) @t4367) @t4374)))) % 6.34/6.56 (assume @p3150 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4377 @t4287) @t4375))))) % 6.34/6.56 (assume @p3151 (forall @t3873 (=> @t671 (= (tptp.hAPP @t4378 @t4193) @t2815)))) % 6.34/6.56 (assume @p3152 (forall @t3873 (=> @t671 (= (tptp.hAPP @t4378 @t4287) @t2815)))) % 6.34/6.56 (assume @p3153 (forall (@list @t3237 @t378 @t30 @t127) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4369 @t4379) @t378) @t433) @t3237) @t433))) % 6.34/6.56 (assume @p3154 (forall @t533 (= @t4380 (tptp.hAPP @t4265 (tptp.hAPP @t4170 @t4364))))) % 6.34/6.56 (assume @p3155 (forall (@list @t1586 @t30) (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3148 @t4375) @t3868) @t4346)))) % 6.34/6.56 (assume @p3156 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4377 @t4193) @t4346))))) % 6.34/6.56 (assume @p3157 (forall @t3873 (=> @t1228 (=> @t3872 (= (tptp.hAPP @t4348 @t3869) @t4375))))) % 6.34/6.56 (assume @p3158 (forall @t4382 (= (tptp.hAPP @t1954 (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) @t2356) (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 @t2294 tptp.tc_Nat_Onat) @t710) @t623)) @t819))) @t4364)) (tptp.hAPP (tptp.hAPP @t710 @t633) (tptp.hAPP @t2356 (tptp.hAPP @t2356 (tptp.hAPP (tptp.hAPP @t710 (tptp.hAPP @t623 @t4381)) @t819))))))) % 6.34/6.56 (assume @p3159 (forall (@list @t64 @t127 @t30 @t140 @t325) (=> (= @t4384 @t433) (= (tptp.c_Map_Oran @t127 @t30 @t4373) (tptp.hAPP @t2834 @t4383))))) % 6.34/6.56 (assume @p3160 (forall (@list @t325 @t127 @t2587 @t378 @t30) (and (=> @t4388 (= @t4387 @t4391)) (=> @t4389 (= @t4387 @t4385))))) % 6.34/6.56 (assume @p3161 (forall @t3292 (=> @t1646 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t1644 @t4395)) @t4393))))) % 6.34/6.56 (assume @p3162 (forall @t3292 (=> @t1646 (tptp.hBOOL (tptp.hAPP @t1003 @t4393))))) % 6.34/6.56 (assume @p3163 (forall @t4399 @t4398)) % 6.34/6.56 (assume @p3164 (forall (@list @t1473 @t1235 @t325 @t127 @t30) (= (tptp.c_Map_Orestrict__map @t30 @t127 @t4396 @t1473) (tptp.c_Map_Orestrict__map @t30 @t127 @t325 @t3464)))) % 6.34/6.56 (assume @p3165 (forall @t3292 (=> @t1646 (= (tptp.hAPP @t1644 @t4393) @t4393)))) % 6.34/6.56 (assume @p3166 (forall @t4401 (=> @t2081 (= (tptp.hAPP (tptp.hAPP @t2034 @t4395) @t2033) (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4400 (tptp.hAPP (tptp.hAPP @t3765 @t2034) @t2)) @t2033)) @t1235))))) % 6.34/6.56 (assume @p3167 (forall @t3292 (=> @t1479 (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t3759 @t740) @t2)) @t1235) (tptp.hAPP @t740 @t4395))))) % 6.34/6.56 (assume @p3168 (forall @t3770 (=> @t3782 (= (tptp.hAPP (tptp.hAPP @t4392 @t4402) @t1235) @t352)))) % 6.34/6.56 (assume @p3169 (forall @t3292 (=> @t180 (= (tptp.hAPP @t616 (tptp.hAPP (tptp.hAPP @t4403 @t2) @t1235)) (tptp.hAPP (tptp.hAPP @t4392 @t3778) @t1235))))) % 6.34/6.56 (assume @p3170 (forall @t3292 (=> @t2346 (= (tptp.hAPP @t705 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t127 tptp.tc_Int_Oint) @t2) @t1235)) (tptp.hAPP (tptp.hAPP @t4392 @t3779) @t1235))))) % 6.34/6.56 (assume @p3171 (forall @t4409 (=> @t3782 (= @t4408 (tptp.hAPP (tptp.hAPP @t4404 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t465 @t2742 @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1237 (tptp.tc_fun @t2742 @t30) @t465) @t4392) @t3934)) @t1235)) @t1473))))) % 6.34/6.56 (assume @p3172 (forall (@list @t1473 @t1 @t465 @t1235 @t2 @t127 @t30) (=> @t2940 (= (tptp.hAPP @t4410 (tptp.hAPP (tptp.hAPP @t4404 @t1) @t1473)) (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t4407 (tptp.hAPP @t4406 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t3939 @t3939) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2265 (tptp.tc_fun @t3939 @t3939) @t127) (tptp.c_COMBB @t30 @t30 @t465)) @t3766)) @t1))) @t1473)) @t1235))))) % 6.34/6.56 (assume @p3173 (forall @t4401 (=> @t2940 (= (tptp.hAPP @t4410 @t2033) (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP @t4411 @t2033)) @t1235))))) % 6.34/6.56 (assume @p3174 (forall (@list @t1235 @t2 @t127 @t2033 @t30) (=> @t2940 (= (tptp.hAPP @t4412 @t4395) (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP (tptp.hAPP @t3759 @t4412) @t2)) @t1235))))) % 6.34/6.56 (assume @p3175 (forall @t3769 (=> @t3782 (= (tptp.hAPP (tptp.hAPP @t4392 @t4415) @t1235) (tptp.hAPP (tptp.hAPP @t354 @t4395) @t4414))))) % 6.34/6.56 (assume @p3176 (forall @t3798 (=> @t4420 @t4419))) % 6.34/6.56 (assume @p3177 (forall @t3791 (=> @t4420 (=> @t3705 (= @t4422 @t3784))))) % 6.34/6.56 (assume @p3178 (forall @t3792 (=> @t3782 (= (tptp.hAPP @t4413 @t3290) @t352)))) % 6.34/6.56 (assume @p3179 (forall @t3793 (=> @t3782 (= (tptp.hAPP @t4394 @t3290) @t352)))) % 6.34/6.56 (assume @p3180 (forall @t3769 (=> @t1479 (= (tptp.hAPP (tptp.hAPP @t4392 @t4423) @t1235) (tptp.hAPP (tptp.hAPP @t1475 @t4395) @t4414))))) % 6.34/6.56 (assume @p3181 (forall (@list @t378 @t2587 @t30 @t127) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t127 @t30 @t4379 @t2587) @t378) @t433))) % 6.34/6.56 (assume @p3182 (forall @t3814 (=> @t4420 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t4416 (tptp.hAPP (tptp.hAPP @t3812 (tptp.hAPP (tptp.hAPP @t3811 @t4424) @t1)) @t218)) @t1235) (tptp.hAPP @t4425 (tptp.hAPP (tptp.hAPP @t4416 @t218) @t1235))))))) % 6.34/6.56 (assume @p3183 (forall @t4431 (=> @t3782 (= (tptp.hAPP @t4430 (tptp.hAPP @t4429 @t109)) (tptp.hAPP @t4428 @t4296))))) % 6.34/6.56 (assume @p3184 (forall @t4433 (=> @t3782 (= (tptp.hAPP @t4430 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t335) @t333)) (tptp.hAPP @t4432 @t4296))))) % 6.34/6.56 (assume @p3185 (forall @t4431 (=> @t3782 (= (tptp.hAPP @t4430 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t534 @t109)) (tptp.hAPP @t4428 @t4172))))) % 6.34/6.56 (assume @p3186 (forall @t4433 (=> @t3782 (= (tptp.hAPP @t4430 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t335 @t333)) (tptp.hAPP @t4432 @t4172))))) % 6.34/6.56 (assume @p3187 (forall @t4399 @t4434)) % 6.34/6.56 (assume @p3188 (forall @t4212 (= (tptp.c_Map_Orestrict__map @t30 @t127 @t2 @t2823) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 (tptp.c_Map_Orestrict__map @t30 @t127 @t2 @t1235)) @t140) @t2416)))) % 6.34/6.56 (assume @p3189 (forall @t4440 (=> @t3782 (=> @t936 (=> @t4439 (= (tptp.hAPP @t4438 @t4436) @t4435)))))) % 6.34/6.56 (assume @p3190 (forall @t4440 (=> @t1479 (=> @t936 (=> @t4439 (= (tptp.hAPP (tptp.hAPP @t1475 @t4435) @t4437) @t4436)))))) % 6.34/6.56 (assume @p3191 (forall @t3833 (=> @t4420 (=> @t3670 (and (=> @t3750 (= @t4441 @t3752)) (=> @t3751 (= @t4441 @t3784))))))) % 6.34/6.56 (assume @p3192 (forall @t3833 (=> @t4420 (=> @t3670 (and (=> @t3750 (= @t4442 @t3752)) (=> @t3751 (= @t4442 @t3784))))))) % 6.34/6.56 (assume @p3193 (forall @t4399 (and @t4398 @t4434))) % 6.34/6.56 (assume @p3194 (forall (@list @t378 @t325 @t30 @t127) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t127 @t30 @t325 @t3290) @t378) @t433))) % 6.34/6.56 (assume @p3195 (forall (@list @t1235 @t696 @t127 @t30) (=> @t180 (= (tptp.hAPP (tptp.hAPP @t4392 (tptp.hAPP @t2570 @t696)) @t1235) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP @t616 @t4187)) @t696))))) % 6.34/6.56 (assume @p3196 (forall @t4443 (=> @t3782 (= (tptp.hAPP @t4430 @t4380) (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t4430 @t4364)) @t217))))) % 6.34/6.56 (assume @p3197 (forall @t4443 (=> @t3782 (= (tptp.hAPP @t4430 (tptp.hAPP @t4307 @t109)) (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t4430 @t4308)) @t219))))) % 6.34/6.56 (assume @p3198 (forall (@list @t2 @t140 @t3404 @t30 @t127) (=> @t4420 (=> @t3407 (=> (not (tptp.hBOOL (tptp.hAPP @t3002 @t3404))) (= (tptp.hAPP @t4421 (tptp.hAPP @t2822 @t3404)) (tptp.hAPP @t4444 (tptp.hAPP @t4421 @t3404)))))))) % 6.34/6.56 (assume @p3199 (forall @t3839 (=> @t4420 (=> @t3403 (=> @t2988 (= @t4446 (tptp.hAPP @t4445 @t4418))))))) % 6.34/6.56 (assume @p3200 (forall @t3843 (=> @t4420 (=> @t3403 (=> @t3414 (= (tptp.hAPP (tptp.hAPP @t4424 @t4448) (tptp.hAPP @t4417 @t3464)) @t4447)))))) % 6.34/6.56 (assume @p3201 (forall @t3852 (=> @t4452 (=> @t3403 (=> @t2501 (= (tptp.hAPP @t4421 @t2585) (tptp.hAPP @t4451 @t4449))))))) % 6.34/6.56 (assume @p3202 (forall @t3798 (=> @t4420 (and @t4453 @t4419)))) % 6.34/6.56 (assume @p3203 (forall @t3798 (=> @t4420 @t4453))) % 6.34/6.56 (assume @p3204 (forall (@list @t327 @t2 @t30) (=> @t3782 (=> (= @t420 @t352) (= (tptp.hAPP @t4430 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t300) @t327)) (tptp.hAPP @t4430 (tptp.hAPP @t4277 @t327))))))) % 6.34/6.56 (assume @p3205 (forall @t4455 (=> @t3782 (=> @t497 (= @t4437 (tptp.hAPP @t4454 (tptp.hAPP @t4430 (tptp.hAPP @t4429 @t23)))))))) % 6.34/6.56 (assume @p3206 (forall @t4455 (=> @t3782 (=> @t936 (= @t4456 (tptp.hAPP @t4454 (tptp.hAPP @t4430 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t534 @t23)))))))) % 6.34/6.56 (assume @p3207 (forall @t4460 (=> @t4420 (=> @t3403 (= @t4459 @t4458))))) % 6.34/6.56 (assume @p3208 (forall @t4462 (=> @t4461 (tptp.hBOOL (tptp.hAPP @t3036 @t4383))))) % 6.34/6.56 (assume @p3209 (forall @t3848 (=> @t4420 (=> @t3403 (= @t4446 @t4463))))) % 6.34/6.56 (assume @p3210 (forall @t3843 (=> @t4420 (=> @t3403 (=> @t3414 (=> @t3503 @t4464)))))) % 6.34/6.56 (assume @p3211 (forall @t3852 (=> @t4452 (=> @t3403 (=> @t3414 (= (tptp.hAPP @t4421 @t3150) (tptp.hAPP (tptp.hAPP @t4450 (tptp.hAPP (tptp.hAPP @t4424 @t4422) @t4449)) @t4459))))))) % 6.34/6.56 (assume @p3212 (forall @t4466 (=> @t3782 (and (=> @t495 (= @t4465 @t352)) (=> @t540 (= @t4465 (tptp.hAPP @t4438 @t217))))))) % 6.34/6.56 (assume @p3213 (forall @t4466 (=> @t3782 (and (=> @t4469 (= @t4468 @t352)) (=> (not @t4469) (= @t4468 (tptp.hAPP @t4467 @t219))))))) % 6.34/6.56 (assume @p3214 (forall (@list @t27 @t23 @t325 @t30) (=> @t3782 (=> @t936 (= (tptp.hAPP @t4470 @t4172) (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t27 @t325)) (tptp.hAPP @t4470 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t325 @t23)))))))) % 6.34/6.56 (assume @p3215 (forall (@list @t1615 @t2 @t23 @t325 @t30) (=> @t3782 (=> (tptp.hBOOL (tptp.hAPP @t935 @t4472)) (= (tptp.hAPP @t4430 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t325 @t4471)) (tptp.hAPP @t4467 (tptp.hAPP @t4430 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t4472 @t4471)))))))) % 6.34/6.56 (assume @p3216 (forall (@list @t696 @t378 @t2587 @t325 @t127 @t30) @t4474)) % 6.34/6.56 (assume @p3217 (forall @t4475 (= (tptp.c_Map_Oran @t127 @t30 @t4379) @t2815))) % 6.34/6.56 (assume @p3218 (forall @t3839 (=> @t4420 (=> @t3403 (=> @t2987 (= @t4418 @t4463)))))) % 6.34/6.56 (assume @p3219 (forall @t3836 (=> @t4420 (=> @t3403 (=> @t3003 (= @t4422 (tptp.hAPP @t4444 @t4476))))))) % 6.34/6.56 (assume @p3220 (forall @t3836 (=> @t4452 (=> @t3403 (and @t4477 (=> @t3026 (= @t4476 @t4422))))))) % 6.34/6.56 (assume @p3221 (forall @t3836 (=> (tptp.class_Rings_Oring @t127) (=> @t3403 @t4477)))) % 6.34/6.56 (assume @p3222 (forall (@list @t23 @t378 @t30) (=> @t2081 (=> (not @t927) (= (tptp.hAPP (tptp.hAPP @t4427 @t2010) @t4278) (tptp.hAPP (tptp.hAPP @t2034 (tptp.hAPP (tptp.hAPP @t1475 (tptp.hAPP @t2010 @t23)) @t926)) (tptp.hAPP (tptp.hAPP @t1475 @t378) @t926))))))) % 6.34/6.56 (assume @p3223 (forall @t619 (=> @t4480 (= (tptp.hAPP @t4479 (tptp.hAPP (tptp.hAPP @t4427 @t616) @t4350)) (tptp.hAPP @t4478 (tptp.hAPP (tptp.hAPP @t354 @t617) @t926)))))) % 6.34/6.56 (assume @p3224 (forall @t4455 (=> @t1479 (and (=> @t936 (= @t4482 (tptp.hAPP (tptp.hAPP @t1475 @t2039) (tptp.hAPP @t2 @t4472)))) (=> @t1153 (= @t4482 @t352)))))) % 6.34/6.56 (assume @p3225 (forall @t4483 (=> @t4388 @t4474))) % 6.34/6.56 (assume @p3226 (forall @t4483 (and (=> @t4388 (= @t4484 @t4473)) (=> @t4389 (= @t4484 @t4385))))) % 6.34/6.56 (assume @p3227 (forall @t4316 (= (tptp.c_Map_Orestrict__map @t30 @t127 @t2 @t4486) (tptp.hAPP @t4485 @t453)))) % 6.34/6.56 (assume @p3228 (forall (@list @t696 @t378 @t325 @t127 @t30) (= (tptp.c_Map_Orestrict__map @t30 @t127 @t4359 @t4486) (tptp.c_Map_Orestrict__map @t30 @t127 @t325 @t4486)))) % 6.34/6.56 (assume @p3229 (forall (@list @t23 @t819 @t140 @t30) (=> @t4480 (= (tptp.hAPP @t4479 (tptp.hAPP (tptp.hAPP @t4427 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t30 tptp.tc_Nat_Onat) @t355) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t30 @t30) (tptp.hAPP (tptp.hAPP @t4481 @t776) @t616)) @t819))) @t4364)) (tptp.hAPP @t4478 (tptp.hAPP @t355 (tptp.hAPP @t355 (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP @t616 @t4381)) @t819)))))))) % 6.34/6.56 (assume @p3230 (forall @t3828 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t127) (=> @t3414 (=> @t2503 (=> (forall @t4490 (=> (tptp.hBOOL (tptp.hAPP @t3728 @t3183)) (tptp.hBOOL (tptp.hAPP @t4489 (tptp.hAPP @t2 @t2400))))) @t4488)))))) % 6.34/6.56 (assume @p3231 (forall (@list @t4491 @t2 @t1235 @t30 @t127) (=> (and @t4493 (tptp.class_Rings_Osemiring__1 @t127)) (=> (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t4492 @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t1851) @t4491)))) (tptp.hBOOL (tptp.hAPP @t4487 (tptp.hAPP (tptp.hAPP @t3753 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t127) @t3696)) @t4491))))))) % 6.34/6.56 (assume @p3232 (forall @t3861 (=> @t4420 (=> @t3670 (=> @t3860 (=> (forall @t8 (=> @t3858 @t3785)) (= (tptp.hAPP @t4421 @t3856) (tptp.hAPP (tptp.hAPP @t4424 @t4495) @t4494)))))))) % 6.34/6.56 (assume @p3233 (forall @t3801 (=> @t3407 (= (= (tptp.hAPP @t4497 @t3404) @t214) (forall @t8 (=> @t3800 (= @t6 @t214))))))) % 6.34/6.56 (assume @p3234 (forall @t2602 (= @t3696 (tptp.hAPP (tptp.hAPP @t4496 @t4114) @t1235)))) % 6.34/6.56 (assume @p3235 (forall @t3777 (= (tptp.hAPP @t623 @t4500) @t4499))) % 6.34/6.56 (assume @p3236 (forall @t3809 (=> @t3403 (= (= @t4500 @t300) (exists @t8 (and @t3020 (= @t6 @t300) @t4501)))))) % 6.34/6.56 (assume @p3237 (forall @t3809 (=> @t3403 (= (= @t4500 @t933) (exists @t8 (and @t3020 @t3799 @t4501)))))) % 6.34/6.56 (assume @p3238 (forall (@list @t327 @t2) (=> (= @t420 @t214) (= (tptp.hAPP @t4503 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t300 @t327)) (tptp.hAPP @t4503 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t214 @t327)))))) % 6.34/6.56 (assume @p3239 (forall @t3777 (= @t4500 (tptp.hAPP tptp.c_Int_Onat @t4499)))) % 6.34/6.56 (assume @p3240 (forall (@list @t2 @t1235 @t1473 @t30) (=> @t3414 (=> @t2501 (= (tptp.hAPP @t4497 @t2585) (tptp.hAPP @t4505 @t4504)))))) % 6.34/6.56 (assume @p3241 (forall @t3777 (=> @t3783 (= (tptp.hAPP @t4430 @t1235) (tptp.hAPP (tptp.hAPP @t4506 @t2263) @t3322))))) % 6.34/6.56 (assume @p3242 (forall (@list @t2 @t1235 @t140 @t30) (and (=> @t3003 (= @t4507 (tptp.hAPP @t4505 @t2416))) (=> @t3026 (= @t4507 @t4500))))) % 6.34/6.56 (assume @p3243 (forall (@list @t2 @t1473 @t1235 @t30) (=> @t3403 (=> @t3414 (= (tptp.hAPP @t4497 @t3150) (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP (tptp.hAPP @t301 @t4500) @t4504)) (tptp.hAPP @t4497 @t3464))))))) % 6.34/6.56 (assume @p3244 (forall @t3809 (=> @t3783 (=> @t3381 (= @t4509 (tptp.hAPP (tptp.hAPP @t4427 @t3807) @t3378)))))) % 6.34/6.56 (assume @p3245 (forall @t4382 (= (tptp.hAPP (tptp.hAPP @t780 @t1946) (tptp.hAPP (tptp.hAPP @t4502 (tptp.hAPP (tptp.hAPP @t2277 @t4510) (tptp.hAPP (tptp.hAPP @t2604 @t780) @t819))) @t4364)) (tptp.hAPP @t965 (tptp.hAPP @t4510 (tptp.hAPP @t4510 (tptp.hAPP (tptp.hAPP @t780 @t4381) @t819))))))) % 6.34/6.56 (assume @p3246 (forall @t3809 (=> @t3866 (= (tptp.hAPP (tptp.hAPP @t4498 @t2) @t1235) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t4496 @t3865) @t1235)))))) % 6.34/6.56 (assume @p3247 (forall @t3843 (=> @t4420 (=> @t3403 (=> @t3414 (=> (forall @t8 (=> @t3726 (= @t5 @t3784))) @t4464)))))) % 6.34/6.56 (assume @p3248 (forall @t3828 (=> (and @t4420 @t4493) (=> @t3414 (=> @t2503 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 @t3183)) (tptp.hBOOL (tptp.hAPP @t4489 @t6)))) @t4488)))))) % 6.34/6.56 (assume @p3249 (forall (@list @t178 @t2 @t61 @t30 @t127) (=> @t4515 (=> @t4514 (=> @t4513 (=> (= @t4512 @t3784) (=> @t4511 (= @t3818 @t3784)))))))) % 6.34/6.56 (assume @p3250 (forall (@list @t178 @t1473 @t2 @t61 @t30 @t127) (=> @t4515 (=> @t4514 (=> @t4513 (=> (= @t4512 @t1473) (=> @t4511 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t3818) @t1473))))))))) % 6.34/6.56 (assume @p3251 (forall (@list @t23 @t27 @t21) (=> (forall @t8 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t4516) @t1058))) (= (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP (tptp.hAPP @t4502 @t27) @t4364)) (tptp.hAPP (tptp.hAPP @t4502 @t21) @t4364)) (tptp.hAPP (tptp.hAPP @t4502 (tptp.hAPP (tptp.hAPP @t2212 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2196 tptp.tc_Nat_Onat) @t1459) @t27)) @t21)) @t4364))))) % 6.34/6.56 (assume @p3252 (forall @t4135 (=> @t4420 (=> @t3860 (=> @t4134 (=> @t4517 (= @t4495 @t4494))))))) % 6.34/6.56 (assume @p3253 (forall @t4135 (=> @t4420 (=> @t3860 (=> @t4134 (=> @t4517 (= @t4494 @t4495))))))) % 6.34/6.56 (assume @p3254 (forall @t3565 (=> @t4518 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t3566))))))) % 6.34/6.56 (assume @p3255 (forall @t3447 (=> @t4518 @t4519))) % 6.34/6.56 (assume @p3256 (forall @t3439 (=> @t4518 (=> @t3403 (=> @t2987 (= @t3452 @t3435)))))) % 6.34/6.56 (assume @p3257 (forall @t3439 (=> @t4518 (=> @t3403 @t3454)))) % 6.34/6.56 (assume @p3258 (forall @t3565 (=> @t4518 (=> @t3403 (=> @t3567 (=> @t2501 @t4520)))))) % 6.34/6.56 (assume @p3259 (forall (@list @t27 @t1235 @t3404 @t30) (=> @t3407 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3404) @t1235)) (=> @t4150 (=> (forall (@list @t472 @t4521) (=> (tptp.hBOOL (tptp.hAPP @t3391 @t4521)) (=> @t4522 (=> (not (tptp.hBOOL (tptp.hAPP @t4153 @t4521))) (=> (tptp.hBOOL (tptp.hAPP @t27 @t4521)) (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP @t4151 @t4521)))))))) (tptp.hBOOL (tptp.hAPP @t27 @t3404)))))))) % 6.34/6.56 (assume @p3260 (forall @t3817 (=> (and @t4420 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t127)) (=> @t3403 (=> @t3022 (=> (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4523 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4523 @t4422) @t4418)))))))) % 6.34/6.56 (assume @p3261 (forall @t619 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t4318 @t23)) (tptp.hAPP @t4524 @t23)) (tptp.hAPP (tptp.hAPP @t2817 @t23) @t2815))))) % 6.34/6.56 (assume @p3262 (forall @t875 (=> @t1228 (= (= @t4526 @t4525) @t894)))) % 6.34/6.56 (assume @p3263 (forall @t4335 (=> @t2576 (= (tptp.hBOOL (tptp.hAPP @t3583 @t4527)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t327) @t178)))))) % 6.34/6.56 (assume @p3264 (forall @t875 (=> @t671 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4526) @t4525)) @t1188)))) % 6.34/6.56 (assume @p3265 (forall @t2347 (=> @t1228 (= (tptp.hAPP @t2599 @t4367) @t4527)))) % 6.34/6.56 (assume @p3266 (forall @t2347 (=> @t1228 (= (tptp.hAPP @t2599 @t4527) @t4367)))) % 6.34/6.56 (assume @p3267 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP @t4297 @t4529) @t4528))))) % 6.34/6.56 (assume @p3268 (forall @t3873 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t3462 @t4287) @t4529) @t2815)))) % 6.34/6.56 (assume @p3269 (forall @t401 (=> @t1228 (= (tptp.hAPP @t4192 (tptp.hAPP @t4524 @t25)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t3846 @t64))))) % 6.34/6.56 (assume @p3270 (forall (@list @t819 @t25 @t140 @t30) (=> @t1228 (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t4524 @t140)) @t4183) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t30 @t3846 @t819))))) % 6.34/6.56 (assume @p3271 (forall @t3873 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t3462 @t3869) @t4529) @t2815)))) % 6.34/6.56 (assume @p3272 (forall @t380 (=> @t789 (= (tptp.hAPP @t3667 @t4526) (tptp.hAPP @t4318 @t1190))))) % 6.34/6.56 (assume @p3273 (forall @t380 (=> @t789 (= (tptp.hAPP @t3667 @t4320) (tptp.hAPP @t4524 @t1190))))) % 6.34/6.56 (assume @p3274 (forall @t1928 (= @t4532 (tptp.hAPP (tptp.hAPP @t4531 (tptp.hAPP @t4530 @t327)) (tptp.hAPP @t4365 @t3339))))) % 6.34/6.56 (assume @p3275 (forall @t3873 (=> @t1228 (=> @t3872 (= (tptp.hAPP @t3870 @t4529) @t4534))))) % 6.34/6.56 (assume @p3276 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP (tptp.hAPP @t3148 @t4193) @t4535) @t4528))))) % 6.34/6.56 (assume @p3277 (forall (@list @t1539 @t30) (=> @t1228 (= (tptp.hAPP @t4206 @t4534) @t4528)))) % 6.34/6.56 (assume @p3278 (forall @t1928 (= @t4532 @t4537))) % 6.34/6.56 (assume @p3279 (forall @t875 (=> @t1228 (= (= @t4539 @t4538) @t894)))) % 6.34/6.56 (assume @p3280 (forall @t4335 (=> @t2576 (= (tptp.hBOOL (tptp.hAPP @t3583 @t4540)) (tptp.hBOOL (tptp.hAPP @t3898 @t178)))))) % 6.34/6.56 (assume @p3281 (forall @t875 (=> @t1228 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4539) @t4538)) @t1188)))) % 6.34/6.56 (assume @p3282 (forall @t2347 (=> @t1228 (= (tptp.hAPP @t2599 @t4334) @t4540)))) % 6.34/6.56 (assume @p3283 (forall @t2347 (=> @t1228 (= (tptp.hAPP @t2599 @t4540) @t4334)))) % 6.34/6.56 (assume @p3284 (forall @t3873 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t3462 @t4193) @t4535) @t2815)))) % 6.34/6.56 (assume @p3285 (forall @t3873 (=> @t1228 (=> @t4207 (= (tptp.hAPP (tptp.hAPP @t3148 @t3867) @t4535) @t4534))))) % 6.34/6.56 (assume @p3286 (forall @t380 (=> @t789 (= (tptp.hAPP @t3667 @t4539) (tptp.hAPP @t4361 @t1190))))) % 6.34/6.56 (assume @p3287 (forall @t380 (=> @t789 (= (tptp.hAPP @t3667 @t4363) (tptp.hAPP @t4533 @t1190))))) % 6.34/6.56 (assume @p3288 (forall @t3873 (=> @t671 (= (tptp.hAPP (tptp.hAPP @t3462 @t3867) @t4535) @t2815)))) % 6.34/6.56 (assume @p3289 (forall @t1928 (= (tptp.hAPP @t4536 @t974) (tptp.hAPP (tptp.hAPP @t4531 @t4537) (tptp.hAPP @t4333 @t3339))))) % 6.34/6.56 (assume @p3290 (forall @t4544 (=> @t4543 (=> @t3403 (=> @t3418 (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2684 @t465) @t2) @t3734) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus @t465) (tptp.hAPP (tptp.hAPP @t4542 (tptp.hAPP (tptp.c_Fun_Ocomp @t2684 @t465 @t30 @t2) @t468)) @t1235)) (tptp.hAPP (tptp.hAPP @t4541 (tptp.hAPP (tptp.c_Fun_Ocomp @t2684 @t465 @t127 @t2) @t470)) @t1473)))))))) % 6.34/6.56 (assume @p3291 (forall @t4546 (=> @t3783 (=> @t2499 (=> @t3380 (=> @t4545 (= @t3808 (tptp.hAPP (tptp.hAPP @t3780 @t1) @t1473)))))))) % 6.34/6.56 (assume @p3292 (forall @t4316 (= (= @t4549 @t2819) (exists @t4548 (= @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t4352) @t378) (tptp.hAPP @t449 @t4547))))))) % 6.34/6.56 (assume @p3293 (forall (@list @t1235 @t2 @t1 @t465 @t127 @t30) (=> (tptp.c_Fun_Oinj__on @t30 @t127 @t4551 @t1235) (tptp.c_Fun_Oinj__on @t465 @t127 @t1 (tptp.hAPP @t4550 @t1235))))) % 6.34/6.56 (assume @p3294 (forall (@list @t1 @t465 @t1235 @t2 @t127 @t30) (=> @t4175 (=> (tptp.c_Fun_Oinj__on @t127 @t465 @t1 @t3274) (tptp.c_Fun_Oinj__on @t30 @t465 (tptp.hAPP @t4552 @t2) @t1235))))) % 6.34/6.56 (assume @p3295 (forall (@list @t4553 @t465 @t1235 @t2 @t127 @t30) (=> @t4175 (= (tptp.c_Fun_Oinj__on @t127 @t465 @t4553 @t3274) (tptp.c_Fun_Oinj__on @t30 @t465 (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t465 @t30 @t4553) @t2) @t1235))))) % 6.34/6.56 (assume @p3296 (forall (@list @t819 @t25 @t2456 @t64 @t140 @t30 @t127 @t465) (=> @t4555 (forall @t4548 (= (tptp.hAPP @t140 (tptp.hAPP @t64 @t4547)) (tptp.hAPP @t25 (tptp.hAPP @t819 @t4547))))))) % 6.34/6.56 (assume @p3297 (forall (@list @t1684 @t819 @t25 @t2456 @t64 @t140 @t30 @t127 @t465) (=> @t4555 (= @t4556 (tptp.hAPP @t25 (tptp.hAPP @t819 @t1684)))))) % 6.34/6.56 (assume @p3298 (forall (@list @t378 @t1 @t2 @t465 @t30 @t127) (= @t4558 @t3442))) % 6.34/6.56 (assume @p3299 (forall (@list @t218 @t1 @t2456 @t2 @t30 @t127 @t465) (= (tptp.hAPP @t4560 (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t465 @t30 @t1) @t218)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t127 @t30 @t4559) @t218)))) % 6.34/6.56 (assume @p3300 (forall (@list @t2454 @t2456 @t465 @t30 @t127 @t4561 @t4562 @t4553 @t378 @t1 @t2) (=> (= @t3442 (tptp.hAPP @t4553 (tptp.hAPP @t4562 @t4561))) (= @t4558 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t30 @t2454 @t4553) @t4562) @t4561))))) % 6.34/6.56 (assume @p3301 (forall @t2627 (= (tptp.hAPP @t2437 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2456 @t465 @t30 @t1) @t378)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2456 @t127 @t30 @t4559) @t378)))) % 6.34/6.56 (assume @p3302 (forall @t2669 (= (tptp.hAPP @t2659 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2456 @t465 @t127 @t1) @t378)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2456 @t30 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t30 @t2456 @t2) @t1)) @t378)))) % 6.34/6.56 (assume @p3303 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obody)))) % 6.34/6.56 (assume @p3304 (forall (@list @t1235 @t2 @t4553 @t465 @t127 @t30) (=> (tptp.c_Fun_Oinj__on @t30 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t127 @t30 @t4553) @t2) @t1235) (tptp.c_Fun_Oinj__on @t30 @t465 @t2 @t1235)))) % 6.34/6.56 (assume @p3305 (forall (@list @t696 @t378 @t1 @t2 @t30 @t127 @t465) (= (tptp.hAPP @t4560 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t30 @t465) @t1) @t378) @t696)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4309 @t4563) @t378) @t2433)))) % 6.34/6.56 (assume @p3306 (forall (@list @t2033 @t1 @t2 @t465 @t30 @t127) (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t30 @t127 @t2) @t1)) @t2033) (tptp.hAPP @t4565 (tptp.hAPP @t4564 @t2033))))) % 6.34/6.56 (assume @p3307 (forall (@list @t325 @t127 @t140 @t30) (= (tptp.hBOOL (tptp.hAPP @t3002 @t4566)) (not (= @t4384 @t453))))) % 6.34/6.56 (assume @p3308 (forall @t4462 (=> @t4461 (tptp.hBOOL (tptp.hAPP @t4045 (tptp.c_Map_Odom @t127 @t30 @t325)))))) % 6.34/6.56 (assume @p3309 (forall (@list @t127 @t696 @t30 @t378 @t2) (=> (= @t668 @t4370) (= @t4568 @t4567)))) % 6.34/6.56 (assume @p3310 (forall (@list @t1235 @t325 @t127 @t30) (= (tptp.c_Map_Odom @t30 @t127 @t4396) (tptp.hAPP (tptp.hAPP @t3462 @t4566) @t1235)))) % 6.34/6.56 (assume @p3311 (forall @t3793 (= (= @t4549 @t2815) (= @t2 @t4352)))) % 6.34/6.56 (assume @p3312 (forall @t3228 (= (tptp.c_Map_Odom @t30 @t127 @t4352) @t2815))) % 6.34/6.56 (assume @p3313 (forall @t4572 (=> @t4543 (=> @t4209 (= (tptp.hAPP @t4571 @t3273) (tptp.hAPP @t4570 @t1473)))))) % 6.34/6.56 (assume @p3314 (forall @t4579 (=> @t4578 (=> @t4175 (=> @t4577 (=> (= @t1 @t4569) @t4576)))))) % 6.34/6.56 (assume @p3315 (forall @t4572 (=> @t4578 (=> @t4209 (= (tptp.hAPP @t4575 @t3273) (tptp.hAPP (tptp.hAPP @t4573 @t4569) @t1473)))))) % 6.34/6.56 (assume @p3316 (forall (@list @t1235 @t127 @t30 @t378 @t2) (=> (= @t668 @t433) (= (tptp.hAPP @t4580 @t3449) (tptp.hAPP @t4580 @t1235))))) % 6.34/6.56 (assume @p3317 (forall @t4584 (=> @t4420 (=> @t3403 (=> @t4583 (= (tptp.hAPP @t4417 @t4582) (tptp.hAPP (tptp.hAPP @t4416 @t4581) @t1235))))))) % 6.34/6.56 (assume @p3318 (forall @t4584 (=> @t3754 (=> @t3403 (=> @t4583 (= (tptp.hAPP @t3795 @t4582) (tptp.hAPP (tptp.hAPP @t3748 @t4581) @t1235))))))) % 6.34/6.56 (assume @p3319 (forall (@list @t378 @t1235 @t1 @t465 @t2 @t127 @t30) (=> (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t4585) (=> (tptp.c_Fun_Oinj__on @t465 @t30 @t1 @t1235) (=> (tptp.hBOOL (tptp.hAPP @t3264 (tptp.hAPP @t3272 @t4585))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t465 @t127 @t1235 @t4586) @t378) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t465 @t127 (tptp.c_Fun_Othe__inv__into @t465 @t30 @t1235 @t1)) (tptp.c_Fun_Othe__inv__into @t30 @t127 @t4585 @t2)) @t378))))))) % 6.34/6.56 (assume @p3320 (forall (@list @t628 @t1 @t218 @t127 @t1235 @t30 @t465) (=> (tptp.class_Groups_Oab__semigroup__mult @t465) (=> @t3403 (=> (tptp.c_Fun_Oinj__on @t30 @t127 @t218 @t1235) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4589 @t1) @t628) (tptp.hAPP @t3405 @t1235)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4588 (tptp.hAPP @t4552 @t218)) @t628) @t1235))))))) % 6.34/6.56 (assume @p3321 (forall (@list @t378 @t2 @t127 @t30 @t696) (and (=> @t4592 (= @t4591 (tptp.hAPP @t4580 @t3441))) (=> (not @t4592) (= @t4591 @t4568))))) % 6.34/6.56 (assume @p3322 (forall @t4595 (=> @t4594 (=> @t3403 (=> @t2987 (= @t3435 @t4593)))))) % 6.34/6.56 (assume @p3323 (forall (@list @t1 @t218 @t1235 @t3404 @t628 @t2 @t127 @t30) (=> @t4596 (=> @t3444 (=> (tptp.c_Fun_Oinj__on @t127 @t127 @t218 @t1235) (= (tptp.hAPP @t4116 (tptp.hAPP (tptp.c_Set_Oimage @t127 @t127 @t218) @t1235)) (tptp.hAPP (tptp.hAPP @t3404 (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t30 @t127 @t1) @t218)) @t1235))))))) % 6.34/6.56 (assume @p3324 (forall @t4600 (=> @t4594 (=> @t3403 (=> @t3414 (=> @t3503 @t4599)))))) % 6.34/6.56 (assume @p3325 (forall (@list @t2 @t1 @t465 @t1235 @t30 @t127) (= (tptp.hAPP @t3922 (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t2371 @t127 @t1) @t2)) (tptp.hAPP @t3980 @t1)))) % 6.34/6.56 (assume @p3326 (forall (@list @t1 @t378 @t696 @t465 @t3404 @t2 @t127 @t30) (=> @t4594 (= (tptp.hAPP @t4601 @t4603) (tptp.hAPP @t4602 (tptp.hAPP @t4601 @t1)))))) % 6.34/6.56 (assume @p3327 (forall (@list @t378 @t696 @t3404 @t2 @t127 @t30) (=> @t4594 (= @t4606 @t4605)))) % 6.34/6.56 (assume @p3328 (forall (@list @t218 @t1 @t2692 @t2 @t465 @t2456 @t2454 @t3404 @t281 @t127 @t30) (=> (tptp.c_Finite__Set_Ofolding @t30 @t127 @t281 @t3404) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2454 @t2456 @t465 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t2692 @t2454 @t465 @t1) @t218)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2692 @t2456 @t465 (tptp.hAPP (tptp.c_Fun_Ocomp @t2454 @t2456 @t2692 @t2) @t1)) @t218))))) % 6.34/6.56 (assume @p3329 (forall (@list @t218 @t1 @t1235 @t3404 @t628 @t2 @t127 @t30) (=> @t4596 (=> @t3444 (= (tptp.hAPP (tptp.hAPP @t3404 (tptp.hAPP (tptp.hAPP @t3767 @t4607) @t218)) @t1235) (tptp.hAPP (tptp.hAPP @t2 @t4117) (tptp.hAPP (tptp.hAPP @t3404 @t218) @t1235))))))) % 6.34/6.56 (assume @p3330 (forall (@list @t378 @t1 @t2 @t2456 @t30 @t465 @t127) (= (tptp.hAPP (tptp.hAPP @t2446 (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t3939 @t127 @t2) @t1)) @t378) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t2580 @t378))) @t2482)))) % 6.34/6.56 (assume @p3331 (forall @t4595 (=> @t4594 (=> @t3403 (= (tptp.hAPP @t4604 @t3435) @t4608))))) % 6.34/6.56 (assume @p3332 (forall (@list @t1 @t378 @t465 @t1235 @t3404 @t2 @t127 @t30) (=> @t4594 (=> @t3403 (= (tptp.hAPP @t4602 @t4610) (tptp.hAPP @t4609 @t4603)))))) % 6.34/6.56 (assume @p3333 (forall @t4600 (=> @t4594 (=> @t3403 (=> @t3414 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t3556) @t3435) @t4598)))))) % 6.34/6.56 (assume @p3334 (forall (@list @t1 @t465 @t1473 @t1235 @t3404 @t2 @t127 @t30) (=> @t4594 (=> @t3403 (=> @t3414 (= (tptp.hAPP @t4611 @t4610) (tptp.hAPP @t4609 (tptp.hAPP @t4611 @t1)))))))) % 6.34/6.56 (assume @p3335 (= @t2024 (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))) % 6.34/6.56 (assume @p3336 (= 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 @t623) tptp.c_Code__Numeral_Onat__of))) % 6.34/6.56 (assume @p3337 (forall @t4121 (=> @t4596 @t4119))) % 6.34/6.56 (assume @p3338 (forall @t4595 (=> @t4594 (=> @t3403 (=> @t2988 @t4612))))) % 6.34/6.56 (assume @p3339 (forall @t4600 (=> @t4594 (=> @t3403 (=> @t3414 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t127 @t127 @t3563) @t3562) @t4598)))))) % 6.34/6.56 (assume @p3340 (forall @t4595 (=> @t4594 (=> @t3403 (= @t3453 @t4593))))) % 6.34/6.56 (assume @p3341 (forall @t2916 (=> (tptp.c_Hoare__Mirabelle_Ohoare__valids @t30 @t52 @t4616) (tptp.c_Hoare__Mirabelle_Ohoare__valids @t30 @t52 @t4614)))) % 6.34/6.56 (assume @p3342 (forall @t1809 (= @t2706 (tptp.hAPP (tptp.c_Fun_Ocomp @t2238 tptp.tc_Int_Oint @t30 @t2505) @t4617)))) % 6.34/6.56 (assume @p3343 (forall @t1809 (= @t2703 (tptp.hAPP (tptp.c_Fun_Ocomp @t2238 tptp.tc_Int_Oint @t30 @t2466) @t4617)))) % 6.34/6.56 (assume @p3344 (forall (@list @t61 @t1826 @t1615 @t27 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t30 @t27 @t1615) @t1826) @t61)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t1826) @t61)) (tptp.hBOOL (tptp.hAPP @t1615 @t61)))))) % 6.34/6.56 (assume @p3345 (forall @t2916 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t4616) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 @t4614)))) % 6.34/6.56 (assume @p3346 (forall (@list @t819 @t21 @t25 @t64 @t27 @t52 @t30) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP @t4615 @t21)) @t2794)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t31 @t4613) @t819) @t21)) @t2794)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t30 @t52 (tptp.hAPP (tptp.hAPP @t2809 (tptp.hAPP (tptp.hAPP @t32 (tptp.c_Com_Ocom_OCond @t64 @t25 @t819)) @t21)) @t2794)))))) % 6.34/6.56 (assume @p3347 (forall (@list @t127 @t218 @t2 @t3028 @t30 @t465) (=> @t4543 (=> @t3670 (=> (forall @t8 (=> @t3822 (forall @t415 (=> (tptp.hBOOL (tptp.hAPP @t4071 @t3028)) (=> (not @t4618) (=> @t4070 (= (tptp.hAPP @t218 @t6) (tptp.c_Groups_Ozero__class_Ozero @t465)))))))) (= (tptp.hAPP @t4571 (tptp.hAPP @t3272 @t3028)) (tptp.hAPP @t4570 @t3028))))))) % 6.34/6.56 (assume @p3348 (forall @t4619 (= (tptp.c_Random__Sequence_Omap @t127 @t30 @t2 @t27) (tptp.c_Random__Sequence_Obind @t127 @t30 @t27 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2761)) @t127 @t2780) @t2))))) % 6.34/6.56 (assume @p3349 (forall @t4600 (=> @t4620 (=> @t3403 (=> @t3414 @t4599))))) % 6.34/6.56 (assume @p3350 (forall (@list @t378 @t3404 @t2 @t127 @t30) (=> @t4620 @t4621))) % 6.34/6.56 (assume @p3351 (forall (@list @t1 @t378 @t465 @t3404 @t2 @t127 @t30) (=> @t4620 (= (tptp.hAPP @t4602 @t4603) @t4603)))) % 6.34/6.56 (assume @p3352 (forall @t4595 (=> @t4620 (=> @t3403 (=> @t2987 (= @t4608 @t3435)))))) % 6.34/6.56 (assume @p3353 (forall @t4595 (=> @t4620 (=> @t3403 @t4612)))) % 6.34/6.56 (assume @p3354 (forall @t4600 (=> @t4620 (=> @t3403 (=> @t2501 (= @t4598 @t3435)))))) % 6.34/6.56 (assume @p3355 (forall @t4579 (=> @t4578 (=> @t4175 (=> @t4577 (=> (forall @t8 (=> @t3020 (= @t5 (tptp.hAPP @t4569 @t4)))) @t4576)))))) % 6.34/6.56 (assume @p3356 (forall (@list @t140 @t378 @t1235 @t64 @t30) (=> @t4624 (=> (tptp.hBOOL (tptp.hAPP @t4623 @t378)) (=> @t3003 (=> @t4622 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t30 @t30 @t776 @t140 (tptp.hAPP @t2834 @t2919)) @t378)))))))) % 6.34/6.56 (assume @p3357 (forall (@list @t1235 @t325 @t127 @t696 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3034 (tptp.c_Map_Oran @t127 @t30 (tptp.c_Map_Orestrict__map @t127 @t30 @t325 @t1235)))) (exists @t8 (and @t3284 (= (tptp.hAPP @t325 @t4) @t4370)))))) % 6.34/6.56 (assume @p3358 (forall (@list @t378 @t1235 @t628 @t2 @t127 @t30) (=> @t4626 @t3403))) % 6.34/6.56 (assume @p3359 (forall @t3074 (tptp.hBOOL (tptp.hAPP @t4627 @t628)))) % 6.34/6.56 (assume @p3360 (forall (@list @t378 @t628 @t2 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t4627 @t378)) @t4628))) % 6.34/6.56 (assume @p3361 (forall @t3060 (=> @t2988 (=> @t4630 (tptp.hBOOL (tptp.hAPP @t4629 @t3059)))))) % 6.34/6.56 (assume @p3362 (forall (@list @t628 @t696 @t1235 @t64 @t30) (=> @t4624 (=> (tptp.hBOOL (tptp.hAPP @t4623 @t696)) (=> @t4622 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t30 @t30 @t776 @t628 @t3004) (tptp.hAPP @t2290 @t696)))))))) % 6.34/6.56 (assume @p3363 (forall @t4631 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t30 @t127 @t2 @t628 @t2990) @t696)) (=> @t2987 (tptp.hBOOL (tptp.hAPP @t4625 @t3059)))))) % 6.34/6.56 (assume @p3364 (forall (@list @t378 @t1235 @t140 @t2 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t30 @t30 @t2 @t140 @t1235) @t378)) (=> @t3026 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t2823) @t378)))))) % 6.34/6.56 (assume @p3365 (forall @t658 (=> @t1186 (=> (= @t3484 @t2925) (=> (= @t3170 @t4632) (= @t1046 @t135)))))) % 6.34/6.56 (assume @p3366 (forall @t4546 (=> @t3783 (=> @t2499 (=> @t3380 (=> @t4545 (= @t4509 (tptp.hAPP (tptp.hAPP @t4506 @t1) @t1473)))))))) % 6.34/6.56 (assume @p3367 (forall @t380 (tptp.hBOOL (tptp.hAPP @t2986 @t4633)))) % 6.34/6.56 (assume @p3368 (forall @t1809 (= @t4635 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2717) @t433) (tptp.hAPP (tptp.c_Set_Oimage @t30 @t2717 @t431) @t4633))))) % 6.34/6.56 (assume @p3369 (forall (@list @t1 @t2 @t465 @t30 @t127) (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t30 @t127) @t2) @t1)) @t4636) (tptp.hAPP @t4565 (tptp.hAPP @t4564 @t4636))))) % 6.34/6.56 (assume @p3370 (= (tptp.hAPP @t4638 @t4307) @t4637)) % 6.34/6.56 (assume @p3371 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t623 @t4637)) % 6.34/6.56 (assume @p3372 (forall @t4325 (=> @t4639 @t4219))) % 6.34/6.56 (assume @p3373 (forall @t4325 (=> @t4639 (=> @t4217 @t894)))) % 6.34/6.56 (assume @p3374 (forall @t3162 (= (tptp.hAPP (tptp.hAPP @t3462 @t4633) @t1473) @t1473))) % 6.34/6.56 (assume @p3375 (forall @t2602 (= (tptp.hAPP @t3463 @t4633) @t1235))) % 6.34/6.56 (assume @p3376 (forall @t436 (=> @t4640 (= (tptp.hAPP (tptp.hAPP @t3475 @t4632) @t136) @t136)))) % 6.34/6.56 (assume @p3377 (forall @t436 (=> @t4640 (= (tptp.hAPP @t3483 @t4632) @t136)))) % 6.34/6.56 (assume @p3378 (forall @t875 (=> (tptp.class_Lattices_Obounded__lattice__top @t30) (= (= @t3489 @t4641) (and (= @t378 @t4641) (= @t696 @t4641)))))) % 6.34/6.56 (assume @p3379 (forall @t436 (=> @t4640 (= (tptp.hAPP (tptp.hAPP @t3158 @t4632) @t136) @t4632)))) % 6.34/6.56 (assume @p3380 (forall @t436 (=> @t4640 (= (tptp.hAPP @t3159 @t4632) @t4632)))) % 6.34/6.56 (assume @p3381 (forall @t3162 (= (tptp.hAPP (tptp.hAPP @t3148 @t4633) @t1473) @t4633))) % 6.34/6.56 (assume @p3382 (forall @t2602 (= (tptp.hAPP @t3149 @t4633) @t4633))) % 6.34/6.56 (assume @p3383 (forall @t1809 (not (= @t4633 @t2815)))) % 6.34/6.56 (assume @p3384 (forall @t2848 (=> (tptp.class_Orderings_Otop @t30) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t1237) @t378) @t4641)))) % 6.34/6.56 (assume @p3385 (forall @t2602 (tptp.hBOOL (tptp.hAPP @t2502 @t4633)))) % 6.34/6.56 (assume @p3386 (tptp.c_Equiv__Relations_Oequiv @t2422 @t4642 tptp.c_Int_Ointrel)) % 6.34/6.56 (assume @p3387 (forall @t436 (=> (tptp.class_Orderings_Otop @t35) (tptp.hBOOL (tptp.hAPP @t995 @t4632))))) % 6.34/6.56 (assume @p3388 (forall @t3228 (= (tptp.c_Sum__Type_OPlus @t30 @t127 @t4633 @t4636) @t4643))) % 6.34/6.56 (assume @p3389 (= (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))) @t933)) % 6.34/6.56 (assume @p3390 (forall @t1809 (= (tptp.hAPP @t4136 @t4633) @t4644))) % 6.34/6.56 (assume @p3391 (= (tptp.hAPP @t4638 @t4355) @t4637)) % 6.34/6.56 (assume @p3392 (forall @t3228 (=> @t4648 (=> @t4647 (tptp.hBOOL (tptp.hAPP @t4646 @t4645)))))) % 6.34/6.56 (assume @p3393 (forall @t3228 (=> @t4650 @t4647))) % 6.34/6.56 (assume @p3394 (forall @t3228 (= (tptp.hBOOL (tptp.hAPP @t3805 @t4643)) (and @t4648 @t4647)))) % 6.34/6.56 (assume @p3395 (forall @t1809 (= (tptp.hBOOL (tptp.hAPP @t4651 @t4635)) @t4648))) % 6.34/6.56 (assume @p3396 (not (tptp.hBOOL (tptp.hAPP @t3412 @t4637)))) % 6.34/6.56 (assume @p3397 (forall @t1809 (=> @t3413 @t4648))) % 6.34/6.56 (assume @p3398 (not (tptp.hBOOL (tptp.hAPP @t3411 (tptp.c_Orderings_Otop__class_Otop @t2388))))) % 6.34/6.56 (assume @p3399 (forall (@list @t378 @t2 @t30) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t2815) @t378))))) % 6.34/6.56 (assume @p3400 (forall (@list @t378 @t1235 @t2 @t30) (=> (tptp.hBOOL (tptp.hAPP @t4652 @t378)) @t3022))) % 6.34/6.56 (assume @p3401 (forall (@list @t127 @t378 @t2 @t30) (tptp.hBOOL (tptp.hAPP @t4654 @t4653)))) % 6.34/6.56 (assume @p3402 (forall (@list @t127 @t30 @t378 @t2 @t64) (=> @t3266 (tptp.hBOOL (tptp.hAPP @t3036 @t4653))))) % 6.34/6.56 (assume @p3403 (= (tptp.hAPP @t4638 @t4530) @t4637)) % 6.34/6.56 (assume @p3404 (forall @t2602 (= (tptp.hAPP @t2584 @t4633) @t2815))) % 6.34/6.56 (assume @p3405 (forall (@list @t1 @t465 @t2 @t30 @t127) (=> @t4656 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t30 @t465 @t1) @t4633) @t4655) (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t465 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t465 @t127 @t1) @t2)) @t4636) @t4655))))) % 6.34/6.56 (assume @p3406 (forall @t2602 (=> @t4648 (=> (= @t3696 @t4657) (= @t1235 @t4633))))) % 6.34/6.56 (assume @p3407 (forall @t3298 (=> @t4639 @t4222))) % 6.34/6.56 (assume @p3408 (forall @t4658 (=> @t4639 (=> (tptp.c_Fun_Oinj__on @t465 @t30 @t1 @t4655) (tptp.c_Fun_Oinj__on @t465 @t127 @t4586 @t4655))))) % 6.34/6.56 (assume @p3409 (forall @t1809 (= (tptp.hAPP @t2599 @t2815) @t4633))) % 6.34/6.56 (assume @p3410 (forall @t1809 (= (tptp.hAPP @t2599 @t4633) @t2815))) % 6.34/6.56 (assume @p3411 (forall @t2602 (=> @t3403 (= (tptp.hBOOL (tptp.hAPP @t3391 @t2600)) @t4648)))) % 6.34/6.56 (assume @p3412 (forall @t2602 (= (tptp.hAPP @t3149 @t2600) @t4633))) % 6.34/6.56 (assume @p3413 (forall @t2602 (= (tptp.hAPP @t3208 @t1235) @t4633))) % 6.34/6.56 (assume @p3414 (forall @t2602 (= @t2600 (tptp.hAPP (tptp.hAPP @t2583 @t4633) @t1235)))) % 6.34/6.56 (assume @p3415 (forall @t700 (=> (tptp.hBOOL (tptp.hAPP @t3335 @t4637)) (=> @t4660 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t378) @t4659) @t894))))) % 6.34/6.56 (assume @p3416 (forall @t4664 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4661 @t4663) @t378)) (tptp.hBOOL (tptp.hAPP @t3264 (tptp.hAPP @t4661 @t2033)))))) % 6.34/6.56 (assume @p3417 (forall (@list @t2 @t465 @t1 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3391 (tptp.hAPP @t4190 @t4636))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t465) (tptp.hAPP (tptp.c_Set_Oimage @t127 @t465 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t465 @t127) @t2) @t1)) @t4636)))))) % 6.34/6.56 (assume @p3418 (forall @t1825 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3334 @t2677) @t4637)))) % 6.34/6.56 (assume @p3419 (forall @t4316 (=> @t4639 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t30 @t127 @t4633 @t2) @t668) @t378)))) % 6.34/6.56 (assume @p3420 (forall @t3228 (=> @t4650 (=> (not (= (tptp.hAPP @t3711 @t4636) @t300)) @t4648)))) % 6.34/6.56 (assume @p3421 (forall @t1809 (=> @t621 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t30 @t616 @t4637)))) % 6.34/6.56 (assume @p3422 (forall @t3793 (= (tptp.c_Map_Odom @t30 @t127 @t4665) @t4633))) % 6.34/6.56 (assume @p3423 (= (tptp.hAPP @t4530 @t214) @t4637)) % 6.34/6.56 (assume @p3424 (forall (@list @t465 @t2 @t127 @t30) (=> @t4639 (tptp.c_Fun_Oinj__on @t30 @t4666 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t4666 @t30) (tptp.c_COMBK @t127 @t465)) @t2) @t4633)))) % 6.34/6.56 (assume @p3425 (forall @t447 (=> @t1186 (= (tptp.hAPP @t721 @t4632) @t2925)))) % 6.34/6.56 (assume @p3426 (forall @t447 (=> @t1186 (= (tptp.hAPP @t721 @t2925) @t4632)))) % 6.34/6.56 (assume @p3427 (forall @t436 (=> @t1186 (= (tptp.hAPP @t3159 @t1046) @t4632)))) % 6.34/6.56 (assume @p3428 (forall @t436 (=> @t1186 (= (tptp.hAPP @t3538 @t136) @t4632)))) % 6.34/6.56 (assume @p3429 (forall @t4212 (=> @t4639 (= (tptp.hBOOL (tptp.hAPP @t4211 @t3274)) @t3003)))) % 6.34/6.56 (assume @p3430 (forall (@list @t64 @t2 @t127 @t30) (=> @t4639 (= (tptp.hBOOL (tptp.hAPP @t3286 (tptp.hAPP @t3272 @t4633))) (exists @t8 (and (= @t64 @t6) (forall @t415 (=> (= @t64 @t4069) @t4667)))))))) % 6.34/6.56 (assume @p3431 (forall @t2975 (=> @t4648 (=> @t4669 @t4668)))) % 6.34/6.56 (assume @p3432 (forall @t2975 (=> @t4648 (=> @t4668 @t4669)))) % 6.34/6.56 (assume @p3433 (forall @t3298 (=> @t4639 (= @t3277 @t2503)))) % 6.34/6.56 (assume @p3434 (forall @t3298 (=> @t4639 @t4223))) % 6.34/6.56 (assume @p3435 (forall @t3298 (=> @t4639 @t4226))) % 6.34/6.56 (assume @p3436 (forall @t3294 (=> @t4656 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t2599 @t3262)) (tptp.hAPP @t3261 @t4671)))))) % 6.34/6.56 (assume @p3437 (forall @t4672 (=> @t4660 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t4659) @t696)))) % 6.34/6.56 (assume @p3438 (forall (@list @t64 @t140 @t2 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t2839) @t64)) @t759))) % 6.34/6.56 (assume @p3439 (forall @t2449 (=> @t4673 (tptp.hBOOL (tptp.hAPP @t4651 (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2717 (tptp.hAPP (tptp.hAPP @t4590 @t140) @t4372)) @t4636)))))) % 6.34/6.56 (assume @p3440 (forall @t2602 (= (tptp.hAPP @t4674 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4676 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 (tptp.tc_fun @t4676 @t2371) tptp.tc_Nat_Onat) @t4336) @t4277)) @t1235)) @t4675))) % 6.34/6.56 (assume @p3441 (forall @t1809 (tptp.c_Fun_Oinj__on @t30 @t2371 @t2947 @t4633))) % 6.34/6.56 (assume @p3442 (forall @t1809 (=> @t4648 (tptp.hBOOL (tptp.hAPP @t475 @t4657))))) % 6.34/6.56 (assume @p3443 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2251)) @t1999)) % 6.34/6.56 (assume @p3444 (forall @t3292 (=> @t4639 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 (tptp.hAPP @t3272 @t2600)) (tptp.hAPP @t4670 @t3274)))))) % 6.34/6.56 (assume @p3445 (= (tptp.hAPP @t4536 @t214) (tptp.hAPP @t4170 @t4637))) % 6.34/6.56 (assume @p3446 (forall @t4685 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4056 @t4633) @t4684) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t4679 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t4677) @t4633) @t2033)))))) % 6.34/6.56 (assume @p3447 (forall @t4691 (=> (forall @t53 (tptp.hBOOL (tptp.hAPP @t4690 @t4688))) (tptp.hBOOL (tptp.hAPP @t4687 @t4686))))) % 6.34/6.56 (assume @p3448 (forall @t4691 (=> (forall @t53 (= @t4689 @t4688)) (= @t4675 @t4686)))) % 6.34/6.56 (assume @p3449 (forall @t4692 (=> (forall @t53 (tptp.hBOOL (tptp.hAPP @t4690 @t2588))) (tptp.hBOOL (tptp.hAPP @t4687 @t2588))))) % 6.34/6.56 (assume @p3450 (forall @t380 (tptp.hBOOL (tptp.hAPP @t4633 @t378)))) % 6.34/6.56 (assume @p3451 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t2422) @t4642) tptp.c_Int_Ointrel))) % 6.34/6.56 (assume @p3452 (forall @t2602 (= (tptp.c_Equiv__Relations_Oequiv @t30 @t4633 @t1235) (tptp.c_Equiv__Relations_Oequivp @t30 (tptp.hAPP @t3243 @t1235))))) % 6.34/6.56 (assume @p3453 (forall @t1809 (tptp.c_Equiv__Relations_Oequivp @t30 tptp.c_fequal))) % 6.34/6.56 (assume @p3454 (forall @t4695 (= @t4694 (forall @t2509 (= (tptp.hBOOL (tptp.hAPP @t4693 @t412)) (= @t4693 (tptp.hAPP @t2474 @t412))))))) % 6.34/6.56 (assume @p3455 (forall (@list @t378 @t2474 @t30) (=> @t4694 (tptp.hBOOL (tptp.hAPP @t3117 @t378))))) % 6.34/6.56 (assume @p3456 (forall (@list @t696 @t378 @t2474 @t30) (=> @t4694 (=> @t4697 (tptp.hBOOL (tptp.hAPP @t4696 @t378)))))) % 6.34/6.56 (assume @p3457 (forall (@list @t628 @t696 @t378 @t2474 @t30) (=> @t4694 (=> @t4697 (=> (tptp.hBOOL (tptp.hAPP @t4696 @t628)) (tptp.hBOOL (tptp.hAPP @t3117 @t628))))))) % 6.34/6.56 (assume @p3458 (forall @t1825 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4698 @t4059) tptp.c_Int_OInteg)))) % 6.34/6.56 (assume @p3459 (forall @t4700 (=> (= @t4554 @t25) @t4699))) % 6.34/6.56 (assume @p3460 (forall (@list @t378 @t2 @t25 @t465 @t30 @t127) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t30 @t465 @t4701) @t2) @t378) @t25))) % 6.34/6.56 (assume @p3461 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t3121 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 6.34/6.56 (assume @p3462 (forall @t4704 (=> @t4639 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4703) (tptp.hAPP (tptp.hAPP @t2817 (tptp.c_HOL_OThe @t30 (tptp.hAPP @t4343 @t140))) @t2815)))))) % 6.34/6.56 (assume @p3463 (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 @t4637)) % 6.34/6.56 (assume @p3464 (forall (@list @t127 @t1473 @t30 @t64 @t140 @t2) (=> @t4707 (=> @t3757 (tptp.hBOOL (tptp.hAPP @t4045 @t4706)))))) % 6.34/6.56 (assume @p3465 (forall (@list @t378 @t2 @t1 @t465 @t127 @t30) (= (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t127 @t4551) @t378) (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t465 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t465 @t127 @t1) @t378))))) % 6.34/6.56 (assume @p3466 (forall @t3298 (= (tptp.hAPP @t4702 @t3297) (tptp.hAPP (tptp.hAPP @t2583 @t4709) @t4708)))) % 6.34/6.56 (assume @p3467 (forall @t4216 (= (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t30 @t2221) @t141) @t141))) % 6.34/6.56 (assume @p3468 (forall @t3278 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t4710) @t4706))))) % 6.34/6.56 (assume @p3469 (forall @t4339 (= (tptp.hBOOL (tptp.hAPP @t4709 @t378)) (tptp.hBOOL (tptp.hAPP @t1235 @t668))))) % 6.34/6.56 (assume @p3470 (forall @t3292 (= (tptp.hAPP @t4702 @t4671) (tptp.hAPP @t2599 @t4709)))) % 6.34/6.56 (assume @p3471 (forall @t3793 (= (tptp.hAPP @t4702 @t3290) @t2815))) % 6.34/6.56 (assume @p3472 (forall (@list @t127 @t1235 @t140 @t2 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t2416) @t1235)) (tptp.hBOOL (tptp.hAPP @t4045 @t4710))))) % 6.34/6.56 (assume @p3473 (forall (@list @t1235 @t2 @t127 @t140 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3002 @t4709)) (tptp.hBOOL (tptp.hAPP @t4211 @t1235))))) % 6.34/6.56 (assume @p3474 (forall (@list @t1473 @t2 @t127 @t140 @t30) (= (tptp.hBOOL (tptp.hAPP @t3002 @t4708)) (tptp.hBOOL (tptp.hAPP @t4211 @t1473))))) % 6.34/6.56 (assume @p3475 (forall @t3298 (= (tptp.hAPP @t4702 @t3270) (tptp.hAPP (tptp.hAPP @t3148 @t4709) @t4708)))) % 6.34/6.56 (assume @p3476 (forall @t3298 (= (tptp.hAPP @t4702 @t3549) (tptp.hAPP (tptp.hAPP @t3462 @t4709) @t4708)))) % 6.34/6.56 (assume @p3477 (forall @t3292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4711) @t1235)))) % 6.34/6.56 (assume @p3478 (forall @t4713 (= (tptp.hAPP @t4702 @t3895) (tptp.hAPP @t3894 @t4712)))) % 6.34/6.56 (assume @p3479 (forall @t3793 (= (tptp.hAPP @t4702 @t4636) @t4633))) % 6.34/6.56 (assume @p3480 (forall @t3294 (=> @t4656 (= @t4711 @t1235)))) % 6.34/6.56 (assume @p3481 (forall (@list @t64 @t2 @t127 @t140 @t30) (= (tptp.hBOOL (tptp.hAPP @t3002 (tptp.hAPP @t4702 (tptp.hAPP @t4714 @t3290)))) @t4707))) % 6.34/6.56 (assume @p3482 (forall (@list @t1473 @t140 @t2 @t127 @t30) (= (tptp.hAPP @t4702 @t3289) (tptp.hAPP (tptp.hAPP @t3148 @t4703) @t4708)))) % 6.34/6.56 (assume @p3483 (forall (@list @t3404 @t218 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3391 (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t127 @t218) @t3404))) (=> (= (tptp.hAPP @t3405 @t4633) @t4636) (tptp.hBOOL (tptp.hAPP @t3406 @t3404)))))) % 6.34/6.56 (assume @p3484 (forall (@list @t1235 @t1473 @t2 @t30 @t127) (=> @t4656 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t4706) @t1235)) @t3280)))) % 6.34/6.56 (assume @p3485 (forall @t3294 (= @t4711 (tptp.hAPP @t3463 @t4653)))) % 6.34/6.56 (assume @p3486 (forall @t3408 (=> @t3407 (=> (tptp.c_Fun_Oinj__on @t127 @t30 @t218 @t4636) (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP (tptp.c_Set_Ovimage @t127 @t30 @t218) @t3404))))))) % 6.34/6.56 (assume @p3487 (forall @t3292 (=> @t4639 (= (tptp.hAPP @t4702 @t3274) @t1235)))) % 6.34/6.56 (assume @p3488 (forall (@list @t127 @t1235 @t25 @t30) (and (=> @t2997 (= @t4715 @t4636)) (=> @t2998 (= @t4715 @t3290))))) % 6.34/6.56 (assume @p3489 (forall @t4716 (= @t4708 (tptp.hAPP @t3912 (tptp.hAPP (tptp.hAPP @t3910 @t4702) @t3909))))) % 6.34/6.56 (assume @p3490 (forall @t4221 (=> @t4639 (=> @t3420 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4708) @t1235)))))) % 6.34/6.56 (assume @p3491 (forall (@list @t1473 @t127 @t819 @t1235 @t25 @t30) (and (=> @t2997 (and (=> @t4720 (= @t4719 @t4636)) (=> @t4721 (= @t4719 @t1473)))) (=> @t2998 (and (=> @t4720 (= @t4719 (tptp.hAPP @t4670 @t1473))) (=> @t4721 (= @t4719 @t3290))))))) % 6.34/6.56 (assume @p3492 (forall @t4725 (=> @t4724 (= (tptp.hAPP (tptp.c_Set_Oimage @t30 @t127 @t4722) @t4633) @t1235)))) % 6.34/6.56 (assume @p3493 (forall @t4725 (=> @t4724 (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 @t4723) @t1235) @t4633)))) % 6.34/6.56 (assume @p3494 (forall @t4727 (=> @t4724 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3263 @t4726) @t1235))))) % 6.34/6.56 (assume @p3495 (forall @t4728 (=> @t4724 (= (= @t4726 (tptp.hAPP @t4722 @t696)) @t894)))) % 6.34/6.56 (assume @p3496 (forall @t4727 (=> @t4724 (= (tptp.hAPP @t4723 @t4726) @t378)))) % 6.34/6.56 (assume @p3497 (forall @t4728 (=> @t4724 (=> @t3265 (=> @t4730 (= (= (tptp.hAPP @t4723 @t378) @t4729) @t894)))))) % 6.34/6.56 (assume @p3498 (forall (@list @t696 @t1235 @t4723 @t4722 @t127 @t30) (=> @t4724 (=> @t4730 (= (tptp.hAPP @t4722 @t4729) @t696))))) % 6.34/6.56 (assume @p3499 (forall (@list @t83 @t84 @t2474 @t30) (= (tptp.c_Wellfounded_Omax__extp @t30 @t2474 @t84 @t83) (and @t4735 @t4734 @t4733 (forall @t8 (=> @t4732 (exists @t3502 (and @t4731 (tptp.hBOOL (tptp.hAPP @t4693 @t3498)))))))))) % 6.34/6.56 (assume @p3500 (forall (@list @t2474 @t141 @t164 @t30) (=> @t4738 (=> (tptp.hBOOL (tptp.hAPP @t3391 @t141)) (=> (not (= @t141 @t2815)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 @t164)) (exists @t3502 (and (tptp.hBOOL (tptp.hAPP @t3501 @t141)) @t4737)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t164) @t141)) @t3232)))))))) % 6.34/6.56 (assume @p3501 (forall (@list @t88 @t83 @t84 @t2 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t4741) @t88)) (exists @t4155 (and (= @t4741 @t4740) (tptp.hBOOL (tptp.hAPP @t4739 @t88)) (not @t4154)))))) % 6.34/6.56 (assume @p3502 (forall (@list @t378 @t164 @t140 @t2 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t30 @t2 @t4742) @t378)) (not (forall @t4155 (=> (= @t4742 @t4740) (=> (tptp.hBOOL (tptp.hAPP @t4739 @t378)) @t4154))))))) % 6.34/6.56 (assume @p3503 (forall (@list @t1235 @t1 @t2 @t127 @t30 @t465) (= (tptp.hAPP (tptp.c_Set_Oimage @t465 @t2450 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t465 @t127 @t2450) @t4745) @t1)) @t1235) (tptp.hAPP (tptp.hAPP @t4744 (tptp.hAPP @t4565 @t1235)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2475 @t2742 @t30) @t3282) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t2475 @t2475) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2475 @t4743 @t30) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2475)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t2475 @t30) (tptp.c_Set_Ovimage @t465 @t30 @t2)) @t2947))) @t1235)))))) % 6.34/6.56 (assume @p3504 (forall @t2504 (=> @t4624 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (=> @t3503 @t4748)))))))) % 6.34/6.56 (assume @p3505 (forall @t3919 (=> @t3003 (=> @t3918 @t4751)))) % 6.34/6.56 (assume @p3506 (forall @t4758 (=> @t4757 (= (= @t4756 @t4754) @t2499)))) % 6.34/6.56 (assume @p3507 (forall (@list @t1473 @t127 @t30) (= (tptp.hAPP (tptp.hAPP @t4744 @t2815) @t1473) @t3047))) % 6.34/6.56 (assume @p3508 (forall @t4763 (= (tptp.hAPP (tptp.hAPP @t4744 (tptp.hAPP (tptp.hAPP @t2583 @t3971) @t3993)) @t2588) (tptp.hAPP (tptp.hAPP @t4762 @t4761) @t4759)))) % 6.34/6.56 (assume @p3509 (forall @t4768 (= (tptp.hAPP (tptp.hAPP @t4744 @t2585) @t4764) (tptp.hAPP (tptp.hAPP @t4762 @t4767) @t4766)))) % 6.34/6.56 (assume @p3510 (forall @t3975 (= (tptp.hAPP @t4760 (tptp.hAPP (tptp.hAPP @t4772 @t4771) @t1473)) (tptp.hAPP (tptp.hAPP @t4762 @t4770) @t4769)))) % 6.34/6.56 (assume @p3511 (forall @t3804 (= (tptp.hAPP @t4775 @t4774) (tptp.hAPP (tptp.hAPP @t780 @t3696) @t3737)))) % 6.34/6.56 (assume @p3512 (forall @t4409 (=> @t3782 (= @t4408 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2455 @t30) @t2447) @t4778))))) % 6.34/6.56 (assume @p3513 (forall @t3770 (= (tptp.hAPP @t4749 (tptp.hAPP @t3967 @t3290)) @t3047))) % 6.34/6.56 (assume @p3514 (forall @t3804 (= (= @t4774 @t3047) (or @t2820 @t3802)))) % 6.34/6.56 (assume @p3515 (forall @t3770 (= (tptp.hAPP @t4781 (tptp.hAPP @t4779 @t4780)) (tptp.hAPP @t4779 (tptp.hAPP @t3967 @t4671))))) % 6.34/6.56 (assume @p3516 (forall @t3770 (= (tptp.hAPP @t4781 (tptp.hAPP @t4749 @t4782)) (tptp.hAPP (tptp.hAPP @t4744 @t2600) @t4782)))) % 6.34/6.56 (assume @p3517 (forall @t4409 (=> @t3768 (= (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t4407 (tptp.hAPP (tptp.hAPP @t4405 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t465 @t30)) @t2)) @t1473)) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2455 @t30) @t2447) @t4778))))) % 6.34/6.56 (assume @p3518 (forall @t3975 (= (tptp.hAPP @t4760 (tptp.hAPP (tptp.hAPP @t4772 @t4035) @t1473)) (tptp.hAPP (tptp.hAPP @t3229 @t4770) @t4769)))) % 6.34/6.56 (assume @p3519 (forall @t4768 (= (tptp.hAPP (tptp.hAPP @t4744 @t3150) @t4764) (tptp.hAPP (tptp.hAPP @t3229 @t4767) @t4766)))) % 6.34/6.56 (assume @p3520 (forall @t4763 (= (tptp.hAPP (tptp.hAPP @t4744 (tptp.hAPP (tptp.hAPP @t3148 @t3971) @t3993)) @t2588) (tptp.hAPP (tptp.hAPP @t3229 @t4761) @t4759)))) % 6.34/6.56 (assume @p3521 (forall @t3966 (= (tptp.hAPP (tptp.c_Set_Oimage @t2687 @t2450 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t30 @t2450) @t4784)) @t4783) (tptp.hAPP @t4765 @t4780)))) % 6.34/6.56 (assume @p3522 (forall (@list @t140 @t2 @t30 @t1) (=> (= @t1 @t4785) (= (tptp.hAPP @t1 @t2839) @t140)))) % 6.34/6.56 (assume @p3523 (forall (@list @t140 @t2 @t30) (= (tptp.hAPP @t4785 @t2839) @t140))) % 6.34/6.56 (assume @p3524 (forall @t3739 (=> @t3403 (=> @t3418 @t4786)))) % 6.34/6.56 (assume @p3525 (forall @t3474 (=> @t3389 @t4790))) % 6.34/6.56 (assume @p3526 (forall @t3975 (= (tptp.hAPP @t4760 (tptp.hAPP (tptp.hAPP @t4772 @t4791) @t1473)) (tptp.hAPP (tptp.hAPP @t3577 @t4770) @t4769)))) % 6.34/6.56 (assume @p3527 (forall @t4768 (= (tptp.hAPP (tptp.hAPP @t4744 @t3464) @t4764) (tptp.hAPP (tptp.hAPP @t3577 @t4767) @t4766)))) % 6.34/6.56 (assume @p3528 (forall @t4763 (= (tptp.hAPP (tptp.hAPP @t4744 (tptp.hAPP (tptp.hAPP @t3462 @t3971) @t3993)) @t2588) (tptp.hAPP (tptp.hAPP @t3577 @t4761) @t4759)))) % 6.34/6.56 (assume @p3529 (forall @t2602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t4082) @t4789)))) % 6.34/6.56 (assume @p3530 (forall @t3228 (= (tptp.hAPP @t4779 @t4782) @t4645))) % 6.34/6.56 (assume @p3531 (forall @t4792 (=> @t4751 (not (=> @t3003 (not @t3918)))))) % 6.34/6.56 (assume @p3532 (forall @t4792 (=> @t4751 @t3918))) % 6.34/6.56 (assume @p3533 (forall @t4792 (=> @t4751 @t3003))) % 6.34/6.56 (assume @p3534 (forall @t4792 (= @t4751 (and @t3003 @t3918)))) % 6.34/6.56 (assume @p3535 (forall @t3694 (=> @t3438 @t4794))) % 6.34/6.56 (assume @p3536 (forall (@list @t1235 @t378 @t127 @t30) (= (tptp.hAPP @t4775 (tptp.hAPP (tptp.hAPP @t4744 @t2819) @t4780)) @t4187))) % 6.34/6.56 (assume @p3537 (forall @t4758 (=> @t4757 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4796 @t4756) @t4754)) (tptp.hBOOL (tptp.hAPP @t4795 @t1473)))))) % 6.34/6.56 (assume @p3538 (forall (@list @t2588 @t1473 @t1235 @t2033 @t127 @t30) (=> @t4798 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 (tptp.hAPP @t3340 @t2588)) @t1473))))) % 6.34/6.56 (assume @p3539 (forall @t3804 (=> @t4786 (=> @t3022 @t3418)))) % 6.34/6.56 (assume @p3540 (forall @t3804 (=> @t4786 (=> (not @t3802) @t3403)))) % 6.34/6.56 (assume @p3541 (forall (@list @t1235 @t127 @t30 @t1473) (and (=> @t3161 (= @t4800 @t3290)) (=> @t3567 (= @t4800 @t1235))))) % 6.34/6.56 (assume @p3542 (forall (@list @t1473 @t127 @t30 @t1235) (and (=> @t2820 (= @t4802 @t3290)) (=> @t3022 (= @t4802 @t1473))))) % 6.34/6.56 (assume @p3543 (forall @t3777 (= @t4793 (tptp.c_HOL_OThe @t30 @t4652)))) % 6.34/6.56 (assume @p3544 (forall @t2602 (=> @t3204 (=> @t3403 (= @t3605 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t30 @t3155) @t1235)))))) % 6.34/6.56 (assume @p3545 (forall @t2602 (=> @t3204 (=> @t3403 (= @t3603 @t4803))))) % 6.34/6.56 (assume @p3546 (forall @t2602 (=> @t1228 (=> @t3403 (= @t3656 @t4805))))) % 6.34/6.56 (assume @p3547 (forall @t2602 (=> @t1228 (=> @t3403 (= @t3607 @t4806))))) % 6.34/6.56 (assume @p3548 (forall @t2602 (=> @t1228 (=> @t3403 (= @t3677 @t4805))))) % 6.34/6.56 (assume @p3549 (forall @t2602 (=> @t1228 (=> @t3403 (= @t3675 @t4806))))) % 6.34/6.56 (assume @p3550 (forall @t3474 (= @t4089 (and @t4790 @t4083)))) % 6.34/6.56 (assume @p3551 (forall (@list @t1473 @t64 @t1235 @t140 @t127 @t30) (= (tptp.hAPP @t4807 @t4808) (tptp.hAPP @t4810 (tptp.hAPP (tptp.hAPP @t3229 (tptp.hAPP @t4749 @t4808)) (tptp.hAPP @t4807 @t4773)))))) % 6.34/6.56 (assume @p3552 (forall (@list @t164 @t2033 @t1235 @t30) (=> @t3403 (=> @t4790 (=> @t3472 @t4738))))) % 6.34/6.56 (assume @p3553 (forall (@list @t3404 @t4811 @t1473 @t1235 @t127 @t30 @t2456 @t465) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2696 @t3040) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t465 @t2456) @t1235) (tptp.hAPP (tptp.c_COMBK @t4815 @t465) @t1473))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t465 @t2456 @t3040) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t465 @t4814 @t4813) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4812 (tptp.tc_fun @t4814 @t4813) @t465) (tptp.c_COMBB @t2743 @t3040 @t2456)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t4812 @t465) @t4744) @t4811))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2742 @t2743 @t2456) @t3967) @t3404)))) (tptp.hAPP (tptp.hAPP @t4744 (tptp.hAPP @t3894 @t4811)) (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2456 @t2742) @t1473) @t3404)))))) % 6.34/6.56 (assume @p3554 (forall @t3804 (= @t4750 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 @t3040) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t4818 @t3040) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2742 (tptp.tc_fun @t4818 @t3040) @t30) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t127 @t3040)) @t1473)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3040 @t4818) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4817 (tptp.tc_fun @t3040 @t4818) @t30) (tptp.c_COMBC @t127 @t3040 @t3040)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 @t4817 @t30) (tptp.hAPP (tptp.c_COMBB @t2450 @t4816 @t127) @t4809)) @t2411))) @t3047)))))) % 6.34/6.56 (assume @p3555 (forall @t3410 (=> @t3487 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t4803) @t140))))))) % 6.34/6.56 (assume @p3556 (forall @t3474 (=> @t3403 (=> @t4790 (tptp.hBOOL (tptp.hAPP @t4142 @t3468)))))) % 6.34/6.56 (assume @p3557 (forall @t2821 (=> @t3487 (=> @t3403 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t1212 @t4803)) @t4820)))))) % 6.34/6.56 (assume @p3558 (forall @t3410 (=> @t1228 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP @t4821 @t140))))))) % 6.34/6.56 (assume @p3559 (forall @t2821 (=> @t4823 (=> @t3022 (=> @t3403 @t4822))))) % 6.34/6.56 (assume @p3560 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t4821 @t378)) (exists @t8 (and @t3020 (tptp.hBOOL (tptp.hAPP @t4824 @t378)))))))))) % 6.34/6.56 (assume @p3561 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t1212 @t4805)) @t4820)))))) % 6.34/6.56 (assume @p3562 (forall @t2504 (=> @t4823 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 @t4748))))))) % 6.34/6.56 (assume @p3563 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 @t4805) @t378)) (exists @t8 (and @t3020 (tptp.hBOOL (tptp.hAPP @t4825 @t378)))))))))) % 6.34/6.56 (assume @p3564 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hBOOL (tptp.hAPP @t1225 @t4805)) (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP @t1225 @t4)))))))))) % 6.34/6.56 (assume @p3565 (forall (@list @t1473 @t1235 @t2 @t465 @t127 @t30) (= (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t2455 @t2) @t4778) (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t2455 @t127 @t30 @t2580) @t2)) @t1235)) (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t465 (tptp.hAPP (tptp.c_Fun_Ocomp @t2455 @t465 @t30 @t2481) @t2)) @t1473))))) % 6.34/6.56 (assume @p3566 (forall @t2821 (=> @t4624 (=> @t3022 (=> @t3403 (=> @t2988 @t4822)))))) % 6.34/6.56 (assume @p3567 (forall @t2504 (=> @t1228 (=> @t3022 (=> @t2503 (=> @t3414 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t4804 @t1473)) @t4805)))))))) % 6.34/6.56 (assume @p3568 (forall @t3694 (=> (tptp.c_Big__Operators_Osemilattice__big @t30 @t2 @t3404) @t4794))) % 6.34/6.56 (assume @p3569 (forall (@list @t1235 @t3971 @t127 @t30) (exists @t4205 (and (tptp.c_Fun_Oinj__on @t30 @t2687 @t4202 @t3974) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4796 (tptp.hAPP (tptp.c_Set_Oimage @t30 @t2687 @t4202) @t3974)) (tptp.hAPP (tptp.hAPP @t4753 @t3971) @t1235))))))) % 6.34/6.56 (assume @p3570 (forall @t4826 (=> @t4790 (=> @t4083 @t4089)))) % 6.34/6.56 (assume @p3571 (forall @t4544 (=> @t4578 (=> @t3403 (=> @t3886 (= (tptp.hAPP (tptp.hAPP @t4573 (tptp.hAPP (tptp.hAPP @t4829 (tptp.hAPP (tptp.hAPP @t4828 @t4574) @t2)) @t1473)) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2450 @t465) @t2786) @t4750))))))) % 6.34/6.56 (assume @p3572 (forall @t4544 (=> @t4543 (=> @t3403 (=> @t3886 (= (tptp.hAPP (tptp.hAPP @t4542 (tptp.hAPP @t4830 @t1473)) @t1235) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2450 @t465) @t2786) @t4750))))))) % 6.34/6.56 (assume @p3573 (forall (@list @t1 @t1473 @t127 @t1235 @t30 @t465) (=> @t4578 (=> @t3403 (=> @t3886 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4588 (tptp.hAPP (tptp.hAPP @t4829 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t465 @t4827) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2451 (tptp.tc_fun @t465 @t4827) @t30) @t4589) @t1)) @t4831)) @t1473)) @t4831) @t1235) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t465 @t2450 @t4587) (tptp.hAPP @t2442 @t1)) @t4831) @t4750))))))) % 6.34/6.56 (assume @p3574 (forall @t3739 (=> @t3403 (=> @t3886 (= (tptp.hAPP @t4775 @t4750) (tptp.hAPP (tptp.hAPP @t4496 (tptp.hAPP @t4832 @t1473)) @t1235)))))) % 6.34/6.56 (assume @p3575 (forall @t2602 (=> @t4624 (=> @t3403 (=> @t3022 (=> (forall @t2509 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t4833) @t3650))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t4747) @t1235)))))))) % 6.34/6.56 (assume @p3576 (forall @t3739 (=> @t3403 (=> @t4834 (tptp.hBOOL (tptp.hAPP @t4646 @t4750)))))) % 6.34/6.56 (assume @p3577 (forall @t4130 (=> @t4823 (=> (forall @t2509 (= (tptp.hAPP @t218 @t4833) (tptp.hAPP (tptp.hAPP @t776 @t4128) @t4127))) (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.hAPP @t4746 @t3455)) (tptp.hAPP @t4746 @t4125)))))))) % 6.34/6.56 (assume @p3578 (forall (@list @t1473 @t1235 @t25 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t4837 @t4750)) (not (forall @t8 (=> @t3020 (forall @t415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3263 @t412) @t3885)) (not (= @t25 @t4836)))))))))) % 6.34/6.56 (assume @p3579 (forall (@list @t1 @t465 @t2456 @t2 @t30 @t127) (=> @t4656 (=> (= (tptp.hAPP @t4842 (tptp.c_Orderings_Otop__class_Otop @t4815)) @t4655) (= (tptp.hAPP @t4841 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4840 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4839)))))) % 6.34/6.56 (assume @p3580 (forall (@list @t1473 @t1 @t2456 @t465 @t1235 @t2 @t127 @t30) (=> @t4175 (=> (tptp.c_Fun_Oinj__on @t465 @t2456 @t1 @t1473) (tptp.c_Fun_Oinj__on @t4838 @t4840 (tptp.c_Product__Type_Omap__pair @t30 @t127 @t465 @t2456 @t2 @t1) (tptp.hAPP @t4845 (tptp.hAPP @t4843 @t1473))))))) % 6.34/6.56 (assume @p3581 (forall (@list @t1 @t2 @t2456 @t465 @t2474 @t64 @t140 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3315 @t2474)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4849 (tptp.hAPP (tptp.hAPP @t4848 @t2416) @t4847)) (tptp.hAPP (tptp.c_Set_Oimage @t2450 @t2696 @t4846) @t2474)))))) % 6.34/6.56 (assume @p3582 (forall (@list @t1 @t2 @t127 @t30 @t2456 @t465) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2696 @t465 @t2450 @t2667) @t4846) (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t465 @t2450 @t2) @t2567)))) % 6.34/6.56 (assume @p3583 (forall (@list @t1 @t2 @t127 @t30 @t465 @t2456) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4850 @t465 @t2450 @t2625) (tptp.c_Product__Type_Omap__pair @t30 @t2456 @t127 @t465 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t465 @t2450 @t1) @t2566)))) % 6.34/6.56 (assume @p3584 (forall (@list @t4851 @t178 @t218 @t2692 @t2454 @t1 @t2 @t127 @t2456 @t30 @t465) (= (tptp.hAPP @t4852 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2454 @t465 @t2692 @t2456 @t218 @t178) @t4851)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2454 @t30 @t2692 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t465 @t30 @t2454 @t2) @t218) (tptp.hAPP (tptp.c_Fun_Ocomp @t2456 @t127 @t2692 @t1) @t178)) @t4851)))) % 6.34/6.56 (assume @p3585 (forall (@list @t2697 @t2698 @t2692 @t44 @t37 @t2454 @t2456 @t127 @t465 @t30) (= (tptp.c_Product__Type_Omap__pair @t30 @t465 @t127 @t2456 (tptp.hAPP (tptp.c_Fun_Ocomp @t2454 @t465 @t30 @t37) @t44) (tptp.hAPP (tptp.c_Fun_Ocomp @t2692 @t2456 @t127 @t2698) @t2697)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4853 @t2696 @t2450 (tptp.c_Product__Type_Omap__pair @t2454 @t465 @t2692 @t2456 @t37 @t2698)) (tptp.c_Product__Type_Omap__pair @t30 @t2454 @t127 @t2692 @t44 @t2697))))) % 6.34/6.56 (assume @p3586 (forall (@list @t178 @t218 @t1 @t2 @t127 @t30 @t2456 @t465 @t2692 @t2454) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4853 @t2696 @t2450 (tptp.c_Product__Type_Omap__pair @t2454 @t465 @t2692 @t2456 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t30 @t2454 @t127 @t2692 @t218 @t178)) (tptp.c_Product__Type_Omap__pair @t30 @t465 @t127 @t2456 (tptp.hAPP (tptp.c_Fun_Ocomp @t2454 @t465 @t30 @t2) @t218) (tptp.hAPP (tptp.c_Fun_Ocomp @t2692 @t2456 @t127 @t1) @t178))))) % 6.34/6.56 (assume @p3587 (forall (@list @t628 @t127 @t30) (= (tptp.hAPP @t4854 @t628) @t628))) % 6.34/6.56 (assume @p3588 (forall (@list @t64 @t140 @t1 @t2 @t127 @t2456 @t30 @t465) (= (tptp.hAPP @t4852 (tptp.hAPP (tptp.hAPP @t4848 @t140) @t64)) (tptp.hAPP (tptp.hAPP @t2411 @t2416) @t4847)))) % 6.34/6.56 (assume @p3589 (forall (@list @t378 @t1 @t2 @t2456 @t465 @t30 @t127) (= (tptp.hAPP @t2483 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t465 @t127 @t2456 @t30 @t2 @t1) @t378)) @t2666))) % 6.34/6.56 (assume @p3590 (forall (@list @t378 @t1 @t2 @t2456 @t465 @t127 @t30) (= (tptp.hAPP @t2567 (tptp.hAPP @t4852 @t378)) @t2668))) % 6.34/6.56 (assume @p3591 (forall (@list @t1 @t2 @t2456 @t127 @t465 @t30) (= @t4846 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t2696) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4857 @t4856) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4855 (tptp.tc_fun @t4857 @t4856) @t30) (tptp.c_COMBB @t2456 @t2696 @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t4855 @t30) @t4848) @t2))) @t1))))) % 6.34/6.56 (assume @p3592 (forall (@list @t4858 @t1473 @t1 @t465 @t2456 @t3342 @t1235 @t2 @t30 @t127) (=> (= @t3262 @t3342) (=> (= (tptp.hAPP @t4842 @t1473) @t4858) (= (tptp.hAPP @t4841 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t127 @t2456) @t1235) (tptp.hAPP (tptp.c_COMBK @t4815 @t127) @t1473))) (tptp.hAPP (tptp.hAPP @t4844 @t3342) (tptp.hAPP @t4843 @t4858))))))) % 6.34/6.56 (assume @p3593 (forall (@list @t2474 @t1 @t2 @t2456 @t465 @t25 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t4837 (tptp.hAPP (tptp.c_Set_Oimage @t2696 @t2450 @t4852) @t2474))) (not (forall @t2509 (=> (= @t25 (tptp.hAPP (tptp.hAPP @t2411 @t6) (tptp.hAPP @t1 @t412))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4849 (tptp.hAPP (tptp.hAPP @t4848 @t4) @t412)) @t2474))))))))) % 6.34/6.56 (assume @p3594 (forall @t3825 (=> @t3670 (=> @t3823 @t3824)))) % 6.34/6.56 (assume @p3595 (forall (@list @t3455 @t218 @t3404 @t2 @t30) (=> @t4518 (=> (forall @t2509 (= (tptp.hAPP @t218 @t2766) (tptp.hAPP (tptp.hAPP @t2 @t4128) @t4127))) (=> @t3623 (=> @t4126 (= (tptp.hAPP @t218 (tptp.hAPP @t3404 @t3455)) (tptp.hAPP @t3404 @t4125)))))))) % 6.34/6.56 (assume @p3596 (forall (@list @t27 @t696) (=> @t4860 (=> (forall @t8 (tptp.hBOOL (tptp.hAPP @t27 @t4859))) (tptp.hBOOL @t2611))))) % 6.34/6.56 (assume @p3597 (forall @t4672 (=> @t4860 (not (forall @t8 (not (= @t696 @t4859))))))) % 6.34/6.56 (assume @p3598 (forall @t3559 (=> @t3445 (=> @t3444 (=> @t3418 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3283 @t3549)) (= @t5 @t628))) @t3568)))))) % 6.34/6.56 (assume @p3599 (forall @t1809 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t2371 @t4862))) % 6.34/6.56 (assume @p3600 (forall @t4875 (=> (not @t4874) (= @t4872 @t4867)))) % 6.34/6.56 (assume @p3601 (forall @t4880 (=> @t4879 @t4878))) % 6.34/6.56 (assume @p3602 (forall @t4887 (=> (or @t4886 @t4885) (tptp.hBOOL (tptp.hAPP @t3391 @t4883))))) % 6.34/6.56 (assume @p3603 (forall @t1928 (tptp.hBOOL (tptp.hAPP @t3412 (tptp.hAPP @t4866 (tptp.hAPP @t4863 @t327)))))) % 6.34/6.56 (assume @p3604 (forall @t1928 (tptp.hBOOL (tptp.hAPP @t3412 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP @t2950 @t934) @t327)))))) % 6.34/6.56 (assume @p3605 (forall @t4316 (=> @t4888 @t4621))) % 6.34/6.56 (assume @p3606 (forall @t4880 (and (=> @t4879 (= @t4889 @t2839)) (=> @t4890 (= @t4889 @t2815))))) % 6.34/6.56 (assume @p3607 (forall @t4880 (and (=> @t4879 (= @t4891 @t2839)) (=> @t4890 (= @t4891 @t2815))))) % 6.34/6.56 (assume @p3608 (forall @t359 (= @t4892 @t2839))) % 6.34/6.56 (assume @p3609 (forall @t359 (= (tptp.hAPP @t4876 @t2470) @t2839))) % 6.34/6.56 (assume @p3610 (forall @t4897 (= (tptp.hAPP @t4896 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP @t2777 @t4895) @t21))) (tptp.hAPP @t4894 (tptp.hAPP @t3967 (tptp.hAPP @t4893 @t21)))))) % 6.34/6.56 (assume @p3611 (forall @t4897 (= (tptp.hAPP @t4896 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP @t4772 @t4895) @t21))) (tptp.hAPP @t4894 (tptp.hAPP @t4898 @t21))))) % 6.34/6.56 (assume @p3612 (forall @t4903 (= @t4902 @t4899))) % 6.34/6.56 (assume @p3613 (forall (@list @t27 @t2 @t127 @t30) (= (tptp.hAPP @t4702 @t4904) (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t3927 @t27) @t2))))) % 6.34/6.56 (assume @p3614 (forall @t3019 (= @t2910 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t4905 @t2782)) @t4457))))) % 6.34/6.56 (assume @p3615 (forall @t2602 (= (tptp.hAPP @t4876 @t4084) @t1235))) % 6.34/6.56 (assume @p3616 (forall @t4906 (= @t4878 @t4879))) % 6.34/6.56 (assume @p3617 (forall @t4906 (=> @t4878 @t4879))) % 6.34/6.56 (assume @p3618 (forall @t1809 (= @t4633 (tptp.hAPP @t4876 (tptp.hAPP @t4907 tptp.c_fTrue))))) % 6.34/6.56 (assume @p3619 (forall @t4887 (= (tptp.hBOOL (tptp.hAPP @t3391 @t4908)) (and @t4886 @t4885)))) % 6.34/6.56 (assume @p3620 (forall @t4906 (= (tptp.hAPP @t2822 @t4877) (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t4909 (tptp.hAPP @t4900 @t2782))) @t27))))) % 6.34/6.56 (assume @p3621 (forall @t1809 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t2371 @t2817))) % 6.34/6.56 (assume @p3622 (forall @t1809 (=> @t1228 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t30 @t2644)))) % 6.34/6.56 (assume @p3623 (forall @t1809 (=> @t4823 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t30 @t776)))) % 6.34/6.56 (assume @p3624 (forall @t4887 (= @t4883 (tptp.hAPP (tptp.hAPP @t3462 @t4877) @t4884)))) % 6.34/6.56 (assume @p3625 (forall @t4887 (= @t4908 (tptp.hAPP (tptp.hAPP @t3148 @t4877) @t4884)))) % 6.34/6.56 (assume @p3626 (forall @t1809 (= @t2815 (tptp.hAPP @t4876 @t4910)))) % 6.34/6.56 (assume @p3627 (forall @t4903 (= (= @t4877 @t2815) @t4912))) % 6.34/6.56 (assume @p3628 (forall @t4903 (= (= @t2815 @t4877) @t4912))) % 6.34/6.56 (assume @p3629 (forall @t4658 (=> @t4888 (tptp.c_Finite__Set_Ofun__left__comm__idem @t465 @t127 @t4913)))) % 6.34/6.56 (assume @p3630 (forall (@list @t628 @t378 @t2 @t127 @t30) (=> @t4888 (= (tptp.hAPP @t668 @t4914) @t4914)))) % 6.34/6.56 (assume @p3631 (forall @t4903 (= @t4877 @t27))) % 6.34/6.56 (assume @p3632 (forall @t1809 (=> @t3487 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t30 @t3486)))) % 6.34/6.56 (assume @p3633 (forall @t1809 (=> @t3172 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t30 @t3155)))) % 6.34/6.56 (assume @p3634 (forall @t1809 (=> @t1228 (tptp.c_Finite__Set_Ofun__left__comm__idem @t30 @t30 @t2520)))) % 6.34/6.56 (assume @p3635 (forall (@list @t27 @t1235 @t378 @t30) (= (tptp.hBOOL (tptp.hAPP @t2986 @t4915)) (and @t2987 @t2750)))) % 6.34/6.56 (assume @p3636 (forall @t2504 (= @t3464 @t4916))) % 6.34/6.56 (assume @p3637 (forall @t2504 (= @t3150 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t4905 @t4084)) @t4457))))) % 6.34/6.56 (assume @p3638 (forall @t2504 (= @t2585 (tptp.hAPP @t4876 (tptp.hAPP @t4345 (tptp.hAPP @t4900 @t4457)))))) % 6.34/6.56 (assume @p3639 (forall @t4903 (=> @t4886 (= (tptp.hBOOL (tptp.hAPP @t3391 @t4902)) @t4648)))) % 6.34/6.56 (assume @p3640 (forall @t3019 (= @t2910 (tptp.hAPP (tptp.hAPP @t3148 @t4892) @t1473)))) % 6.34/6.56 (assume @p3641 (forall @t2602 (= @t2600 (tptp.hAPP @t4876 (tptp.hAPP @t4900 @t4084))))) % 6.34/6.56 (assume @p3642 (forall @t4716 (= @t4708 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t2742 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 (tptp.tc_fun @t2742 tptp.tc_HOL_Obool) @t30) @t3263) @t2)) @t1473))))) % 6.34/6.56 (assume @p3643 (forall @t4887 (= (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t4909 @t27)) @t21)) (tptp.hAPP (tptp.hAPP @t3148 @t4899) @t4884)))) % 6.34/6.56 (assume @p3644 (forall @t4919 (= @t4566 (tptp.hAPP @t4876 (tptp.hAPP @t4900 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4351 tptp.tc_HOL_Obool) (tptp.hAPP @t4918 @t325)) @t453)))))) % 6.34/6.56 (assume @p3645 (forall @t718 (tptp.hBOOL (tptp.hAPP @t3412 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP @t2953 (tptp.hAPP @t2951 @t27)) @t4868)))))) % 6.34/6.56 (assume @p3646 (forall (@list @t2474 @t2 @t3853 @t127 @t3028 @t30 @t465) (=> @t4543 (=> @t3670 (=> @t4927 (= (tptp.hAPP (tptp.hAPP @t4542 (tptp.hAPP @t4830 @t4926)) @t3028) (tptp.hAPP (tptp.hAPP @t4541 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t127 @t2371 @t465) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t30 @t465) (tptp.tc_fun @t2371 @t465) @t127) @t4542) (tptp.hAPP (tptp.c_COMBC @t30 @t127 @t465) @t2))) (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP @t4002 @t4921) @t4920)))) @t3853))))))) % 6.34/6.56 (assume @p3647 (forall (@list @t3028 @t1 @t2 @t27 @t30 @t127) (= (tptp.hAPP (tptp.c_Set_Oimage @t127 @t30 (tptp.hAPP (tptp.hAPP @t3767 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t127 @t30 @t2265) (tptp.hAPP @t4718 @t27)) @t2)) @t1)) @t3028) (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP @t3261 (tptp.hAPP @t4929 @t4904))) (tptp.hAPP @t4190 (tptp.hAPP @t4929 (tptp.hAPP @t4893 (tptp.hAPP @t4928 @t27)))))))) % 6.34/6.56 (assume @p3648 (forall (@list @t1 @t2 @t27 @t127 @t30) (= (tptp.c_Map_Odom @t30 @t127 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t4351 @t4351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t4351 @t4931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t4351 @t4931) @t30) (tptp.c_If @t4351)) @t27)) @t2)) @t1)) (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP (tptp.hAPP @t3462 @t4549) @t4877)) (tptp.hAPP (tptp.hAPP @t3462 @t4930) @t4902))))) % 6.34/6.56 (assume @p3649 (forall (@list @t23 @t2 @t30 @t1235) (=> (= @t1235 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t30 @t2) (tptp.hAPP @t4866 (tptp.hAPP @t4863 @t23)))) @t3403))) % 6.34/6.56 (assume @p3650 (forall @t4460 (=> @t4420 (=> @t3403 (= (tptp.hAPP @t4421 @t4916) @t4458))))) % 6.34/6.56 (assume @p3651 (forall (@list @t2 @t465 @t1 @t3028 @t30 @t127) (=> @t4420 (=> @t3670 (= (tptp.hAPP @t4417 @t3028) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t465 @t127) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t127 @t465) @t4417) (tptp.hAPP (tptp.hAPP @t3990 @t4876) (tptp.hAPP (tptp.hAPP @t3990 @t4921) (tptp.hAPP (tptp.c_COMBC @t30 @t465 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t2475 @t30) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4550 @t3028))))))) % 6.34/6.56 (assume @p3652 (forall (@list @t140 @t2033 @t30 @t127) (= @t3371 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3345 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2687 @t4932 @t30) @t3349) @t3368)) @t2033))))) % 6.34/6.56 (assume @p3653 (forall (@list @t1 @t2 @t27 @t1235 @t30 @t127) (=> @t4420 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t4416 (tptp.hAPP (tptp.hAPP @t3812 (tptp.hAPP (tptp.hAPP @t3745 (tptp.hAPP @t3744 @t27)) @t2)) @t1)) @t1235) (tptp.hAPP (tptp.hAPP @t4424 (tptp.hAPP @t4421 @t4915)) (tptp.hAPP @t4417 (tptp.hAPP @t3463 @t4899)))))))) % 6.34/6.56 (assume @p3654 (forall @t4875 (=> @t4874 (= (tptp.hAPP tptp.c_Nat_OSuc @t4872) @t4867)))) % 6.34/6.56 (assume @p3655 (forall @t4875 (=> @t4874 (not (= @t4867 @t214))))) % 6.34/6.56 (assume @p3656 (forall @t3769 (= (tptp.c_Map_Odom @t30 @t127 (tptp.c_Fun_Ooverride__on @t30 @t4351 @t2 @t1 @t1235)) (tptp.hAPP (tptp.hAPP @t3148 (tptp.hAPP (tptp.hAPP @t2583 @t4549) (tptp.hAPP @t4876 (tptp.hAPP @t3030 (tptp.hAPP @t2584 @t4930))))) (tptp.hAPP @t4876 (tptp.hAPP @t3030 (tptp.hAPP @t3463 @t4930))))))) % 6.34/6.56 (assume @p3657 (forall (@list @t327 @t2474 @t3853 @t127 @t3028 @t30) (=> @t3670 (=> @t4927 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3283 @t3853)) (= (tptp.hAPP @t3695 (tptp.hAPP @t4876 (tptp.hAPP @t4921 @t4933))) @t327))) (= (tptp.hAPP (tptp.hAPP @t4496 (tptp.hAPP @t4832 @t4926)) @t3028) (tptp.hAPP @t969 (tptp.hAPP @t3711 @t3853)))))))) % 6.34/6.56 (assume @p3658 (forall @t2602 (=> @t3403 (tptp.hBOOL (tptp.hAPP @t4142 @t4935))))) % 6.34/6.56 (assume @p3659 (forall @t2602 (= @t4137 @t4935))) % 6.34/6.56 (assume @p3660 (forall @t4938 @t4937)) % 6.34/6.56 (assume @p3661 (forall @t4938 @t4939)) % 6.34/6.56 (assume @p3662 (forall @t4940 (= (tptp.c_Fun_Ooverride__on @t30 @t127 @t2 @t1 @t2815) @t2))) % 6.34/6.56 (assume @p3663 (forall @t3228 (tptp.c_Fun_Oinj__on @t1206 @t3040 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3040 @t3040 @t1206) @t4896) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2743 @t3040 @t1206) @t2414) (tptp.hAPP @t3925 (tptp.hAPP (tptp.c_COMBC @t127 @t127 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t4649))) % 6.34/6.56 (assume @p3664 (forall @t1061 (tptp.c_Nat__Transfer_Onat__set @t4942))) % 6.34/6.56 (assume @p3665 (forall @t4938 (and @t4939 @t4937))) % 6.34/6.56 (assume @p3666 (forall @t1809 (= @t3421 (tptp.hAPP (tptp.c_Set_OCollect @t3234) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2371 @t2371 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4948 (tptp.hAPP @t4947 (tptp.hAPP @t4945 @t2594))) @t3391)))))) % 6.34/6.56 (assume @p3667 (forall (@list @t2 @t2033 @t30 @t127) (= @t3245 (tptp.hAPP @t4953 (tptp.hAPP @t3929 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3219 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4952 (tptp.tc_fun @t3219 @t2371) @t30) (tptp.c_COMBC @t30 @t3219 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4950 @t4952 @t30) (tptp.hAPP (tptp.c_COMBB @t3102 @t4951 @t30) @t3103)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t1206 @t4950) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4949 (tptp.tc_fun @t1206 @t4950) @t30) (tptp.c_COMBB @t127 @t3102 @t30)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t4949 @t30) @t3101) @t2))) @t2)))) @t2033)))))) % 6.34/6.56 (assume @p3668 (forall @t1061 (= @t4942 (tptp.hAPP @t3320 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t27) @t623)))))) % 6.34/6.56 (assume @p3669 (forall @t1061 (= (tptp.hAPP @t4866 @t27) (tptp.hAPP @t3324 (tptp.hAPP @t4941 (tptp.hAPP @t2469 (tptp.hAPP (tptp.hAPP @t2280 @t27) tptp.c_Int_Onat))))))) % 6.34/6.56 (assume @p3670 (forall @t3804 (= (tptp.c_Nitpick_Oprod @t30 @t127 @t1235 @t1473) (tptp.hAPP @t4896 (tptp.hAPP @t2414 @t4954))))) % 6.34/6.56 (assume @p3671 (forall @t4958 (= @t4957 (tptp.hAPP @t4956 (tptp.hAPP @t2391 (tptp.hAPP (tptp.hAPP @t2390 (tptp.hAPP @t2253 @t4955)) @t629)))))) % 6.34/6.56 (assume @p3672 (forall @t4958 (= @t4959 (tptp.hAPP @t4956 (tptp.hAPP @t2391 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2388 @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2251 @t2472 tptp.tc_Int_Oint) @t2249) @t4955)) @t629)))))) % 6.34/6.56 (assume @p3673 (forall @t2036 (= @t4961 (tptp.c_Relation_Orefl__on @t30 @t4633 @t4960)))) % 6.34/6.56 (assume @p3674 (forall @t3313 (=> @t4961 (tptp.hBOOL (tptp.hAPP @t4962 @t378))))) % 6.34/6.56 (assume @p3675 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (= (tptp.hAPP (tptp.hAPP @t2520 @t3675) @t3685) (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 (tptp.hAPP @t4971 (tptp.hAPP @t4968 (tptp.hAPP @t4966 @t2520))))) @t4963))))))))))))) % 6.34/6.56 (assume @p3676 (forall @t2504 (=> @t1228 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (= (tptp.hAPP (tptp.hAPP @t2644 @t3677) @t3684) (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 (tptp.hAPP @t4971 (tptp.hAPP @t4968 (tptp.hAPP @t4966 @t2644))))) @t4963))))))))))))) % 6.34/6.56 (assume @p3677 (forall @t3217 (=> @t4886 (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP @t4893 (tptp.hAPP @t4978 (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4099 @t3920 @t127) @t4344) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t4099 @t127) @t2773) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t1206 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2742 @t3928 @t127) @t3927) tptp.c_fequal)) @t2)))) @t27)))))))) % 6.34/6.56 (assume @p3678 (forall (@list @t21 @t127 @t27 @t30) (=> @t4886 (= (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP @t4893 (tptp.hAPP @t4978 (tptp.hAPP (tptp.hAPP @t4002 @t4882) @t21))))) (forall @t415 (=> (tptp.hBOOL @t2507) (tptp.hBOOL (tptp.hAPP @t3406 (tptp.hAPP @t4893 (tptp.hAPP (tptp.hAPP @t4979 @t21) @t412)))))))))) % 6.34/6.56 (assume @p3679 (forall (@list @t325 @t30 @t127) (= @t4383 (tptp.hAPP @t4876 (tptp.hAPP @t4983 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2717 @t2742 @t30) (tptp.hAPP @t4981 (tptp.hAPP @t4980 @t325))) @t431)))))) % 6.34/6.56 (assume @p3680 (forall @t2602 (= (tptp.hAPP @t4136 @t2600) (tptp.hAPP @t4934 (tptp.hAPP (tptp.hAPP @t4984 (tptp.c_HOL_OEx @t2371)) (tptp.hAPP (tptp.hAPP @t4948 (tptp.hAPP @t4947 (tptp.hAPP @t4945 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2371 @t3920 @t2944) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 (tptp.tc_fun @t3920 @t2944) @t2371) (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t2371)) tptp.c_fequal)) @t2599)))) (tptp.hAPP (tptp.hAPP @t4984 @t4140) @t4136))))))) % 6.34/6.56 (assume @p3681 (forall @t4989 (=> @t4988 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t4985 @t3621) (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t4987))))))) % 6.34/6.56 (assume @p3682 (forall @t4989 (=> @t4988 (=> @t3623 (=> @t4126 (= (tptp.hAPP @t4985 @t3660) (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t4987))))))) % 6.34/6.56 (assume @p3683 (forall @t2504 (=> @t4990 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (= (tptp.hAPP (tptp.hAPP @t3155 @t3603) @t3634) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 (tptp.hAPP @t4971 (tptp.hAPP @t4968 (tptp.hAPP @t4966 @t3155))))) @t4963))))))))))))) % 6.34/6.56 (assume @p3684 (forall @t2821 (=> @t4990 (=> @t3403 (=> @t3022 (= (tptp.hAPP @t3156 @t3603) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4969 (tptp.hAPP @t4100 (tptp.hAPP @t4986 @t3156)))) @t4084)))))))))) % 6.34/6.56 (assume @p3685 (forall @t2821 (=> @t4990 (=> @t3403 (=> @t3022 (= (tptp.hAPP @t3488 @t3605) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4969 (tptp.hAPP @t4100 (tptp.hAPP @t4986 @t3488)))) @t4084)))))))))) % 6.34/6.56 (assume @p3686 (forall @t2504 (=> @t4990 (=> @t3403 (=> @t3022 (=> @t3414 (=> @t3567 (= (tptp.hAPP (tptp.hAPP @t3486 @t3605) @t3633) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP @t4976 (tptp.hAPP (tptp.hAPP @t4973 (tptp.hAPP @t4972 (tptp.hAPP @t4971 (tptp.hAPP @t4968 (tptp.hAPP @t4966 @t3486))))) @t4963))))))))))))) % 6.34/6.56 (assume @p3687 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hAPP @t2645 @t3677) (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4969 (tptp.hAPP @t4100 (tptp.hAPP @t4986 @t2645)))) @t4084)))))))))) % 6.34/6.56 (assume @p3688 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t3022 (= (tptp.hAPP @t2521 @t3675) (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 (tptp.hAPP @t4876 (tptp.hAPP @t4975 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4969 (tptp.hAPP @t4100 (tptp.hAPP @t4986 @t2521)))) @t4084)))))))))) % 6.34/6.56 (assume @p3689 (forall (@list @t1473 @t1235 @t1 @t2 @t127 @t30 @t465) (=> (tptp.class_Rings_Osemiring__0 @t465) (=> (tptp.c_Fun_Oinj__on @t2450 @t465 (tptp.hAPP @t2442 @t4992) @t4774) (= (tptp.hAPP (tptp.hAPP @t4587 (tptp.hAPP (tptp.hAPP @t4542 @t2) @t1235)) (tptp.hAPP (tptp.hAPP @t4541 @t1) @t1473)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t465 @t465) (tptp.c_Fun_Oid @t465)) (tptp.hAPP (tptp.c_Set_OCollect @t465) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t465) @t4974) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2743 @t2371 @t465) @t4983) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t465 @t2743 @t2743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4997 (tptp.tc_fun @t2743 @t2743) @t465) @t4772) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4996 @t4997 @t465) (tptp.hAPP (tptp.c_COMBB @t4995 @t2775 @t30) @t4925)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2743 @t4996 @t465) (tptp.hAPP (tptp.c_COMBB @t2742 @t4995 @t30) @t4924)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t465 @t4994 @t2743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4993 (tptp.tc_fun @t4994 @t2743) @t465) (tptp.c_COMBB @t2451 @t2742 @t30)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2475 @t4993 @t465) (tptp.c_COMBB @t465 tptp.tc_HOL_Obool @t127)) tptp.c_fequal))) @t4992))))) @t4954)))))))))) % 6.34/6.56 (assume @p3690 (forall (@list @t327 @t2474 @t69 @t127 @t61 @t30) (=> @t4514 (=> (tptp.hBOOL (tptp.hAPP @t3406 @t69)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3283 @t69)) (= (tptp.hAPP @t3695 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t2773 (tptp.hAPP @t3030 @t61))) @t4933))) (tptp.hAPP @t327 @t4)))) (= (tptp.hAPP (tptp.hAPP @t4496 (tptp.hAPP @t4832 (tptp.hAPP @t4898 (tptp.hAPP (tptp.hAPP @t4015 (tptp.hAPP @t4925 (tptp.hAPP @t4924 (tptp.hAPP @t4662 @t69)))) @t2474)))) @t61) (tptp.hAPP (tptp.hAPP @t4403 @t327) @t69))))))) % 6.34/6.56 (assume @p3691 (forall @t2602 (tptp.c_Fun_Oinj__on @t30 @t30 @t4998 @t1235))) % 6.34/6.56 (assume @p3692 (forall @t3228 (= (tptp.c_Product__Type_Omap__pair @t30 @t30 @t127 @t127 @t4998 @t5000) @t4999))) % 6.34/6.56 (assume @p3693 (forall @t3228 (= @t4854 @t4999))) % 6.34/6.56 (assume @p3694 (forall @t436 (= (tptp.hAPP @t5001 @t136) @t136))) % 6.34/6.56 (assume @p3695 (forall (@list @t5002 @t35) (= (tptp.hAPP @t5001 @t5002) @t5002))) % 6.34/6.56 (assume @p3696 (forall @t4475 (= (tptp.c_Product__Type_Oapsnd @t127 @t127 @t30 @t5000) @t4999))) % 6.34/6.56 (assume @p3697 (forall @t3228 (= (tptp.c_Product__Type_Oapfst @t30 @t30 @t127 @t4998) @t4999))) % 6.34/6.56 (assume @p3698 (= @t840 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 6.34/6.56 (assume @p3699 (forall @t2602 (= (tptp.hAPP (tptp.c_Set_Ovimage @t30 @t30 @t4998) @t1235) @t1235))) % 6.34/6.56 (assume @p3700 (forall @t4700 (=> (= @t4554 (tptp.hAPP @t5003 @t25)) @t4699))) % 6.34/6.56 (assume @p3701 (forall @t3793 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t127 @t30 @t2) @t4998) @t2))) % 6.34/6.56 (assume @p3702 (forall (@list @t1 @t30 @t127) (= (tptp.hAPP @t5003 @t1) @t1))) % 6.34/6.56 (assume @p3703 (forall @t4216 (= (tptp.hAPP @t5004 @t141) @t141))) % 6.34/6.56 (assume @p3704 (forall @t1809 (= (tptp.hAPP @t5004 @t4633) @t4633))) % 6.34/6.56 (assume @p3705 (forall (@list @t3404 @t2 @t127 @t30) (=> @t4594 (= (tptp.hAPP @t3404 @t2815) @t5000)))) % 6.34/6.56 (assume @p3706 (forall (@list @t2 @t30 @t465 @t127) (= (tptp.c_Product__Type_Oapsnd @t127 @t465 @t30 @t2) (tptp.c_Product__Type_Omap__pair @t30 @t30 @t127 @t465 @t4998 @t2)))) % 6.34/6.56 (assume @p3707 (forall @t2685 (= (tptp.c_Product__Type_Oapfst @t30 @t465 @t127 @t2) (tptp.c_Product__Type_Omap__pair @t30 @t465 @t127 @t127 @t2 @t5000)))) % 6.34/6.56 (assume @p3708 (forall @t3228 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t2450) @t2411) @t4999))) % 6.34/6.56 (assume @p3709 (forall @t5005 (=> @t4420 (=> @t4209 (= @t4449 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t127 @t127) @t5000) @t3273)))))) % 6.34/6.56 (assume @p3710 (forall @t5005 (=> @t3754 (=> @t4209 (= @t3826 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t127 @t127) @t5000) @t3273)))))) % 6.34/6.56 (assume @p3711 (forall @t2602 (= @t3403 (exists (@list @t46 @t4202) (= @t1235 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t30 @t4202) (tptp.hAPP @t4866 (tptp.hAPP @t4863 @t46)))))))) % 6.34/6.56 (assume @p3712 (forall (@list @t61 @t2033 @t127 @t465 @t30) (= @t5016 (tptp.hAPP @t4896 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4041 @t2742 @t30) (tptp.hAPP (tptp.c_COMBB @t2475 tptp.tc_HOL_Obool @t127) (tptp.c_HOL_OEx @t465))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4041 @t4041) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4743 (tptp.tc_fun @t4041 @t4041) @t30) (tptp.c_COMBB @t2475 @t2475 @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5014 @t4743 @t30) (tptp.c_COMBS @t465 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2475 @t5014 @t30) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2251 @t465) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4839 @t2475) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5013 (tptp.tc_fun @t4839 @t2475) @t30) (tptp.c_COMBC @t465 @t4839 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t465 @t4838) @t5013 @t30) (tptp.hAPP (tptp.c_COMBB @t4838 @t5012 @t465) @t5011)) @t2435))) @t2033))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t5008 @t2475) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5010 (tptp.tc_fun @t5008 @t2475) @t127) (tptp.c_COMBC @t465 @t5008 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t465 @t5006) @t5010 @t127) (tptp.hAPP (tptp.c_COMBB @t5006 @t5009 @t465) @t5007)) (tptp.hAPP (tptp.c_COMBC @t465 @t127 @t5006) @t2658)))) @t61)))))))) % 6.34/6.56 (assume @p3713 (forall (@list @t61 @t25 @t465 @t2033 @t64 @t140 @t127 @t30) (=> @t3347 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4678 (tptp.hAPP (tptp.hAPP @t2444 @t64) @t25)) @t61)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5011 (tptp.hAPP (tptp.hAPP @t2435 @t140) @t25)) @t5018)))))) % 6.34/6.56 (assume @p3714 (forall (@list @t2033 @t3971 @t2456 @t61 @t127 @t465 @t30) (= (tptp.hAPP @t5019 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2456 @t5008) @t3971) @t2033)) (tptp.hAPP @t5020 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5008 @t3040 @t2456) @t5019) @t2033))))) % 6.34/6.56 (assume @p3715 (forall (@list @t61 @t2033 @t3971 @t2456 @t127 @t465 @t30) (= (tptp.hAPP (tptp.hAPP @t5015 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2456 @t4839) @t3971) @t2033)) @t61) (tptp.hAPP @t5020 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2456 @t5008 @t3040) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4839 (tptp.tc_fun @t5008 @t3040) @t2456) @t5015) @t2033)) @t61))))) % 6.34/6.56 (assume @p3716 (forall (@list @t2474 @t3853 @t3028 @t127 @t465 @t30) (= (tptp.hAPP (tptp.hAPP @t5015 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4839) @t3028) @t3853)) @t2474) (tptp.hAPP (tptp.hAPP @t3229 (tptp.hAPP (tptp.hAPP @t5015 @t3028) @t2474)) (tptp.hAPP (tptp.hAPP @t5015 @t3853) @t2474))))) % 6.34/6.56 (assume @p3717 (forall (@list @t3853 @t3028 @t2474 @t127 @t465 @t30) (= (tptp.hAPP @t5021 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5008) @t3028) @t3853)) (tptp.hAPP (tptp.hAPP @t3229 (tptp.hAPP @t5021 @t3028)) (tptp.hAPP @t5021 @t3853))))) % 6.34/6.56 (assume @p3718 (forall @t5022 (= (tptp.hAPP @t5021 (tptp.c_Orderings_Obot__class_Obot @t5008)) @t3047))) % 6.34/6.56 (assume @p3719 (forall @t5022 (= (tptp.hAPP (tptp.hAPP @t5015 (tptp.c_Orderings_Obot__class_Obot @t4839)) @t2474) @t3047))) % 6.34/6.56 (assume @p3720 (forall (@list @t3853 @t3028 @t2474 @t2456 @t127 @t465 @t30) (= (tptp.hAPP (tptp.hAPP @t5015 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t30 @t2456 @t465) @t2474) @t3028)) @t3853) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t30 @t2456 @t127) @t2474) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t2456 @t465 @t127) @t3028) @t3853))))) % 6.34/6.56 (assume @p3721 (forall (@list @t61 @t2805 @t465 @t2033 @t3343 @t127 @t30) (=> @t3344 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5024 @t2805) @t61)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5023 (tptp.hAPP (tptp.hAPP @t5017 @t3343) @t2805)) @t5018)))))) % 6.34/6.56 (assume @p3722 (forall @t3180 (=> @t5027 (=> (= (tptp.hAPP (tptp.hAPP @t5025 @t1473) @t2588) @t3073) (= (tptp.hAPP (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t3359 @t1235) @t1473)) @t2588) @t3073))))) % 6.34/6.56 (assume @p3723 (forall @t2593 (=> (= (tptp.hAPP @t5026 @t1473) @t3073) (=> @t5027 (= (tptp.hAPP @t5026 (tptp.hAPP (tptp.hAPP @t3359 @t1473) @t2588)) @t3073))))) % 6.34/6.56 (assume @p3724 (forall (@list @t2588 @t61 @t465 @t1473 @t1235 @t2033 @t127 @t30) (=> @t4798 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5024 @t61) (tptp.hAPP (tptp.hAPP @t4777 @t1473) (tptp.hAPP @t4776 @t2588)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5023 @t5018) (tptp.hAPP @t4845 (tptp.hAPP @t4843 @t2588)))))))) % 6.34/6.56 (assume @p3725 (forall @t3033 (=> @t5034 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5032 (tptp.hAPP (tptp.hAPP @t5031 @t3232) (tptp.hAPP (tptp.hAPP @t5030 (tptp.c_Wellfounded_Omax__ext @t30 @t3028)) @t5029))) @t3232))))) % 6.34/6.56 (assume @p3726 (forall @t3033 (=> @t5034 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5032 (tptp.hAPP (tptp.hAPP @t5031 @t5035) (tptp.hAPP (tptp.hAPP @t5030 (tptp.c_Wellfounded_Omin__ext @t30 @t3028)) @t5029))) @t5035))))) % 6.34/6.56 (assume @p3727 (forall (@list @t696 @t378 @t61 @t2033 @t465 @t127 @t30) (= (tptp.c_Predicate_Opred__comp @t30 @t127 @t465 @t5036 (tptp.hAPP @t4683 @t61) @t378 @t696) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5011 @t2436) @t5018))))) % 6.34/6.56 (assume @p3728 (forall @t3033 (=> @t5037 (=> @t5034 (tptp.c_FunDef_Oreduction__pair @t30 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3071 @t3071) @t2474) @t3028)))))) % 6.34/6.56 (assume @p3729 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 6.34/6.56 (assume @p3730 (forall (@list @t465 @t127 @t30 @t25 @t61 @t64 @t140 @t2033) (=> @t2367 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t64) @t25)) (tptp.c_Predicate_Opred__comp @t30 @t127 @t465 @t2033 @t61 @t140 @t25))))) % 6.34/6.56 (assume @p3731 (forall @t1809 (tptp.c_Wellfounded_Owf @t30 @t3073))) % 6.34/6.56 (assume @p3732 (forall @t5039 (=> @t5038 (tptp.c_Wellfounded_Owf @t127 (tptp.hAPP (tptp.hAPP @t3218 @t2033) @t2))))) % 6.34/6.56 (assume @p3733 (forall (@list @t5040 @t127 @t5041 @t30) (=> (tptp.c_Wellfounded_Owf @t30 @t5041) (=> (tptp.c_Wellfounded_Owf @t127 @t5040) (tptp.c_Wellfounded_Owf @t2450 (tptp.c_Wellfounded_Olex__prod @t30 @t127 @t5041 @t5040)))))) % 6.34/6.56 (assume @p3734 (forall @t2975 (tptp.c_Wellfounded_Owf @t30 @t3077))) % 6.34/6.56 (assume @p3735 (forall @t3033 (= @t5045 (tptp.c_Wellfounded_Owf @t30 (tptp.hAPP (tptp.hAPP @t3359 (tptp.hAPP (tptp.hAPP @t3359 @t5042) (tptp.hAPP (tptp.hAPP @t5025 @t3028) @t2474))) @t3028))))) % 6.34/6.56 (assume @p3736 (forall @t4695 (=> (= @t5042 @t3073) @t5037))) % 6.34/6.56 (assume @p3737 (forall @t4695 (= @t5037 (tptp.c_Wellfounded_Owf @t30 @t5042)))) % 6.34/6.56 (assume @p3738 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t5047 (tptp.hAPP @t5046 @t474)))) % 6.34/6.56 (assume @p3739 (forall @t4958 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4957))) % 6.34/6.56 (assume @p3740 (tptp.c_Wellfounded_Owf @t2422 tptp.c_FunDef_Opair__less)) % 6.34/6.56 (assume @p3741 (forall @t5048 (=> @t5038 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t1615) @t2033)) (tptp.c_Wellfounded_Owf @t30 @t1615))))) % 6.34/6.56 (assume @p3742 (forall @t2036 (=> @t5038 (tptp.c_Wellfounded_Owf @t2371 (tptp.c_Wellfounded_Omax__ext @t30 @t2033))))) % 6.34/6.56 (assume @p3743 (forall (@list @t88 @t84 @t61 @t2033 @t465 @t127 @t30) (= (tptp.c_Predicate_Opred__comp @t30 @t127 @t465 @t2033 @t61 @t84 @t88) (exists @t4490 (and (tptp.hBOOL (tptp.hAPP @t5049 @t2400)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 @t2400) @t88))))))) % 6.34/6.56 (assume @p3744 (forall @t2036 (=> @t5038 (tptp.c_Wellfounded_Owf @t2371 (tptp.c_Wellfounded_Omin__ext @t30 @t2033))))) % 6.34/6.56 (assume @p3745 (forall @t1809 (tptp.c_Wellfounded_Owf @t2371 @t3421))) % 6.34/6.56 (assume @p3746 (forall (@list @t2 @t2474 @t30) (=> @t5037 (tptp.c_Wellfounded_Owf @t30 @t3080)))) % 6.34/6.56 (assume @p3747 (forall @t5050 (=> @t5038 (tptp.c_Wellfounded_Owf @t30 (tptp.hAPP (tptp.hAPP @t4104 @t3343) @t2033))))) % 6.34/6.56 (assume @p3748 (forall @t5050 (=> @t5038 (tptp.c_Wellfounded_Owf @t30 (tptp.hAPP @t4105 @t3343))))) % 6.34/6.56 (assume @p3749 (forall @t2368 (=> @t5038 (not @t4108)))) % 6.34/6.56 (assume @p3750 (forall (@list @t378 @t140 @t2033 @t30) (=> @t5038 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3104 @t378)) @t2033)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3078 @t140)) @t2033))))))) % 6.34/6.56 (assume @p3751 (forall @t3313 (=> @t5038 @t3311))) % 6.34/6.56 (assume @p3752 (forall @t2036 (= @t5038 (forall @t8 @t3366)))) % 6.34/6.56 (assume @p3753 (forall @t4958 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4959))) % 6.34/6.56 (assume @p3754 (forall @t2036 (= @t5038 (not (exists @t4205 (forall @t1242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 (tptp.hAPP @t4202 @t1616)) @t5051)) @t2033)))))))) % 6.34/6.56 (assume @p3755 (forall (@list @t1235 @t2474 @t30) (=> @t5037 (=> (tptp.hBOOL (tptp.hAPP @t2502 (tptp.hAPP @t5052 @t1235))) @t2820)))) % 6.34/6.56 (assume @p3756 (forall @t3033 (=> @t5037 (=> @t5053 (=> @t5034 @t5045))))) % 6.34/6.56 (assume @p3757 (forall @t1809 (=> (tptp.class_Orderings_Owellorder @t30) (tptp.c_Wellfounded_Owf @t30 (tptp.hAPP @t4953 (tptp.hAPP @t3929 @t507)))))) % 6.34/6.56 (assume @p3758 (forall @t4903 (= @t3216 (and (tptp.c_Wellfounded_Owf @t30 @t5054) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 (tptp.hAPP (tptp.hAPP @t5025 @t5054) @t5055)) @t5054)))))) % 6.34/6.56 (assume @p3759 (forall (@list @t3028 @t2474 @t27 @t30) (=> @t3216 (=> (tptp.hBOOL (tptp.hAPP @t5057 @t5054)) (=> (tptp.hBOOL (tptp.hAPP @t5056 @t5055)) (=> @t5053 @t5045)))))) % 6.34/6.56 (assume @p3760 (forall @t5039 (=> @t5038 (=> @t4639 (tptp.c_Wellfounded_Owf @t127 (tptp.hAPP (tptp.c_Set_Oimage @t3064 @t3102 (tptp.c_Product__Type_Omap__pair @t30 @t127 @t30 @t127 @t2 @t2)) @t2033)))))) % 6.34/6.56 (assume @p3761 (forall @t2036 (=> @t5038 (tptp.c_Wellfounded_Owf @t5059 @t5058)))) % 6.34/6.56 (assume @p3762 (forall (@list @t30 @t1 @t2 @t27) (=> (forall @t8 (=> @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 (tptp.hAPP @t2 @t5)) @t6)))) (tptp.c_Wellfounded_Owf @t30 (tptp.hAPP @t4953 (tptp.hAPP @t3929 (tptp.hAPP (tptp.hAPP @t3874 @t4882) (tptp.hAPP @t4986 @t1)))))))) % 6.34/6.56 (assume @p3763 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t5047 (tptp.hAPP @t5046 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2246 tptp.tc_Nat_Onat) (tptp.hAPP @t2950 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 6.34/6.56 (assume @p3764 (forall @t2036 (=> @t5038 (tptp.c_Wellfounded_Owf @t5059 @t5060)))) % 6.34/6.56 (assume @p3765 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 6.34/6.56 (assume @p3766 (forall @t2036 (= @t5060 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t5063) @t4637) @t5061)))) % 6.34/6.56 (assume @p3767 (forall @t5065 (=> @t5038 (tptp.c_Wellfounded_Owf @t5059 @t5064)))) % 6.34/6.56 (assume @p3768 (forall @t2036 (= (tptp.hAPP @t5061 @t214) (tptp.c_Orderings_Obot__class_Obot @t5063)))) % 6.34/6.56 (assume @p3769 (forall (@list @t30 @t2474 @t127 @t27) (=> (forall @t8 (=> @t1059 (tptp.c_Wellfounded_Owf @t127 @t4693))) (tptp.c_Wellfounded_Owf @t2450 @t3115)))) % 6.34/6.56 (assume @p3770 (forall (@list @t27 @t30 @t127) (= (tptp.hAPP @t5067 (tptp.hAPP (tptp.c_Set_OCollect @t2687) @t5066)) (tptp.hAPP @t4876 (tptp.hAPP @t4983 (tptp.hAPP @t4979 @t27)))))) % 6.34/6.56 (assume @p3771 (forall @t5069 (=> @t3347 (tptp.hBOOL (tptp.hAPP @t3286 @t5068))))) % 6.34/6.56 (assume @p3772 (forall @t2602 (= (tptp.hAPP @t5070 @t4082) @t1235))) % 6.34/6.56 (assume @p3773 (forall @t5073 (= (= @t5072 @t2815) (= @t2033 @t5071)))) % 6.34/6.56 (assume @p3774 (forall @t4475 (= (tptp.hAPP @t5067 @t5071) @t2815))) % 6.34/6.56 (assume @p3775 (forall @t3966 (= (tptp.hAPP @t5067 (tptp.hAPP (tptp.hAPP @t3346 @t1235) @t1473)) (tptp.hAPP (tptp.hAPP @t3148 @t5075) @t5074)))) % 6.34/6.56 (assume @p3776 (forall @t5077 (=> @t5076 (tptp.hBOOL (tptp.hAPP @t3406 @t5068))))) % 6.34/6.56 (assume @p3777 (forall @t3337 (= (tptp.hAPP (tptp.c_Set_Oimage @t2687 @t30 @t2483) @t2474) (tptp.hAPP @t5067 @t2474)))) % 6.34/6.56 (assume @p3778 (forall @t5078 (= (tptp.hBOOL (tptp.hAPP @t3002 @t5072)) (exists @t415 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t2607 @t412) @t140)) @t2033)))))) % 6.34/6.56 (assume @p3779 (forall (@list @t2033 @t64 @t140 @t30 @t127) (= (tptp.hAPP @t5067 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2687) @t3369) @t2033)) (tptp.hAPP @t2834 @t5072)))) % 6.34/6.56 (assume @p3780 (forall @t3804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t5067 (tptp.hAPP (tptp.hAPP @t5079 @t1235) @t1473))) (tptp.hAPP (tptp.hAPP @t3462 @t5075) @t5074))))) % 6.34/6.56 (assume @p3781 (forall @t3804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP (tptp.hAPP @t2583 @t5075) @t5074)) (tptp.hAPP @t5067 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3345) @t1235) @t1473)))))) % 6.34/6.56 (assume @p3782 (forall @t4664 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t30 @t127 @t5036) @t378)) (tptp.hBOOL (tptp.hAPP @t3264 @t5068))))) % 6.34/6.56 (assume @p3783 (forall (@list @t2033 @t127 @t64 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3036 @t5072)) (not (forall @t8 (not @t3350)))))) % 6.34/6.56 (assume @p3784 (forall @t5081 (=> @t2367 (tptp.hBOOL (tptp.hAPP @t5080 @t64))))) % 6.34/6.56 (assume @p3785 (forall (@list @t83 @t2033 @t127 @t30) (= (tptp.hBOOL (tptp.hAPP @t5080 @t83)) (exists @t473 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2033 @t472) @t83)))))) % 6.34/6.56 (assume @p3786 (forall @t3358 (=> @t5038 (=> (tptp.c_Wellfounded_Owf @t30 @t61) (=> (= (tptp.hAPP (tptp.hAPP @t3462 @t5083) (tptp.hAPP @t5070 @t61)) @t2815) (tptp.c_Wellfounded_Owf @t30 @t3361)))))) % 6.34/6.56 (assume @p3787 (forall @t2036 (= @t5084 (tptp.c_Wellfounded_Owf @t30 @t4960)))) % 6.34/6.56 (assume @p3788 (forall @t1809 (tptp.c_Wellfounded_OwfP @t30 (tptp.hAPP @t4787 @t4910)))) % 6.34/6.56 (assume @p3789 (forall @t5069 (=> @t3347 @t5087))) % 6.34/6.56 (assume @p3790 (forall @t2602 (= (tptp.hAPP @t5082 @t4082) @t1235))) % 6.34/6.56 (assume @p3791 (forall @t2036 (= @t5084 (forall @t1072 (tptp.hBOOL (tptp.hAPP @t2365 @t1070)))))) % 6.34/6.56 (assume @p3792 (forall @t3313 (=> @t5084 (tptp.hBOOL (tptp.hAPP @t2365 @t378))))) % 6.34/6.56 (assume @p3793 (forall @t5048 (=> @t5084 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2374 @t1615) @t2033)) (tptp.c_Wellfounded_OwfP @t30 @t1615))))) % 6.34/6.56 (assume @p3794 (forall @t5077 (= (= @t5086 @t2815) (= @t2033 @t3047)))) % 6.34/6.56 (assume @p3795 (forall @t3228 (= (tptp.hAPP @t5085 @t3047) @t2815))) % 6.34/6.56 (assume @p3796 (forall @t5089 (=> @t5088 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5086) (tptp.hAPP @t5085 @t61)))))) % 6.34/6.56 (assume @p3797 (forall @t3804 (= (tptp.hAPP @t5085 (tptp.hAPP (tptp.hAPP @t3229 @t1235) @t1473)) (tptp.hAPP (tptp.hAPP @t3148 @t5091) @t5090)))) % 6.34/6.56 (assume @p3798 (forall @t5077 (=> @t5076 (tptp.hBOOL (tptp.hAPP @t3391 @t5086))))) % 6.34/6.56 (assume @p3799 (forall @t5093 (= (tptp.hAPP @t5092 @t2474) (tptp.hAPP @t5085 @t2474)))) % 6.34/6.56 (assume @p3800 (forall @t5078 (= @t5087 (exists @t415 @t5094)))) % 6.34/6.56 (assume @p3801 (forall @t5069 (= (tptp.hAPP @t5085 (tptp.hAPP @t4810 @t2033)) (tptp.hAPP @t2822 @t5086)))) % 6.34/6.56 (assume @p3802 (forall @t3804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t5085 (tptp.hAPP (tptp.hAPP @t3577 @t1235) @t1473))) (tptp.hAPP (tptp.hAPP @t3462 @t5091) @t5090))))) % 6.34/6.56 (assume @p3803 (forall @t3804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP (tptp.hAPP @t2583 @t5091) @t5090)) (tptp.hAPP @t5085 (tptp.hAPP (tptp.hAPP @t4762 @t1235) @t1473)))))) % 6.34/6.56 (assume @p3804 (forall @t2036 (= @t3305 (tptp.hAPP (tptp.hAPP @t3148 @t5083) @t5095)))) % 6.34/6.56 (assume @p3805 (forall @t4695 (=> @t5037 (tptp.c_Wellfounded_OwfP @t30 (tptp.c_FunDef_Oin__rel @t30 @t30 @t2474))))) % 6.34/6.56 (assume @p3806 (forall @t2036 (= (tptp.c_Wellfounded_OwfP @t30 @t3312) @t5038))) % 6.34/6.56 (assume @p3807 (forall @t2753 (= (tptp.hAPP @t5085 (tptp.hAPP @t4896 @t2752)) (tptp.hAPP @t4876 (tptp.hAPP @t4983 @t27))))) % 6.34/6.56 (assume @p3808 (forall @t4664 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t30 @t127 @t5036) @t378)) (tptp.hBOOL (tptp.hAPP @t2986 @t5086))))) % 6.34/6.56 (assume @p3809 (forall @t5078 (=> @t5087 (not (forall @t415 (not @t5094)))))) % 6.34/6.56 (assume @p3810 (forall @t5081 (=> @t2367 (tptp.hBOOL (tptp.hAPP @t5096 @t140))))) % 6.34/6.56 (assume @p3811 (forall (@list @t84 @t2033 @t127 @t30) (= (tptp.hBOOL (tptp.hAPP @t5096 @t84)) (exists @t1072 (tptp.hBOOL (tptp.hAPP @t5049 @t1070)))))) % 6.34/6.56 (assume @p3812 (forall @t2036 (=> @t5084 (tptp.c_Wellfounded_Oacyclic @t30 @t4960)))) % 6.34/6.56 (assume @p3813 (forall @t4619 (= (tptp.c_New__Random__Sequence_Opos__map @t127 @t30 @t2 @t27) (tptp.c_New__Random__Sequence_Opos__bind @t127 @t30 @t27 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2729) @t127 @t5097) @t2))))) % 6.34/6.56 (assume @p3814 (forall @t2036 (=> @t5038 @t5098))) % 6.34/6.56 (assume @p3815 (forall @t5099 (=> (tptp.c_Wellfounded_Oacyclic @t30 @t61) (=> @t3357 @t5098)))) % 6.34/6.56 (assume @p3816 (forall @t2036 (=> @t3393 (= @t5038 @t5098)))) % 6.34/6.56 (assume @p3817 (forall @t2036 (=> @t3393 (=> @t5098 @t5038)))) % 6.34/6.56 (assume @p3818 (forall @t5100 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5097 @t378) @t2675) @t2674) @t2673) (tptp.c_New__DSequence_Opos__single @t30 @t378)))) % 6.34/6.56 (assume @p3819 (forall @t2036 (= (tptp.c_Nitpick_Owf_H @t30 @t2033) (and @t5098 (or @t3393 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 6.34/6.56 (assume @p3820 (forall @t5101 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t35 @t136) @t2739) (tptp.c_Lazy__Sequence_Osingle @t35 @t136)))) % 6.34/6.56 (assume @p3821 (forall @t4619 (= (tptp.c_New__Random__Sequence_Oneg__map @t127 @t30 @t2 @t27) (tptp.c_New__Random__Sequence_Oneg__bind @t127 @t30 @t27 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2735) @t127 @t5102) @t2))))) % 6.34/6.56 (assume @p3822 (forall @t5100 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5102 @t378) @t2675) @t2674) @t2673) (tptp.c_New__DSequence_Oneg__single @t30 @t378)))) % 6.34/6.56 (assume @p3823 (forall @t3713 (=> @t3705 (=> (tptp.hBOOL (tptp.hAPP @t3406 @t3274)) (exists @t8 (and @t3020 (not (tptp.hBOOL (tptp.hAPP @t3391 (tptp.hAPP @t4876 (tptp.hAPP @t4345 (tptp.hAPP @t4343 @t6)))))))))))) % 6.34/6.56 (assume @p3824 (forall @t5101 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t35 @t136) @t2739) (tptp.c_Lazy__Sequence_Ohb__single @t35 @t136)))) % 6.34/6.56 (assume @p3825 (forall @t1825 (not (forall @t415 (=> (= @t378 @t5104) (not @t5103)))))) % 6.34/6.56 (assume @p3826 (forall (@list @t378 @t27) (=> (forall @t415 (=> @t5103 (tptp.hBOOL (tptp.hAPP @t27 @t5104)))) @t2750))) % 6.34/6.56 (assume @p3827 (forall @t3739 (=> @t3403 (=> @t4834 @t3887)))) % 6.34/6.56 (assume @p3828 (forall (@list @t327 @t3455) (=> (forall @t8 (=> @t3457 (tptp.hBOOL (tptp.hAPP @t1514 @t4)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t4263 @t327) @t3455)))) % 6.34/6.56 (assume @p3829 (forall (@list @t30 @t2033 @t127) (=> (forall @t1242 (tptp.c_Wellfounded_OwfP @t127 @t5106)) (=> (forall @t1333 (=> (not (= @t5106 @t5105)) (= (tptp.hAPP (tptp.hAPP @t3547 (tptp.c_Predicate_ODomainP @t127 @t127 @t5106)) (tptp.c_Predicate_ORangeP @t127 @t127 @t5105)) @t3290))) (tptp.c_Wellfounded_OwfP @t127 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t30 (tptp.tc_fun @t127 @t2742)) @t4633) @t2033)))))) % 6.34/6.56 (assume @p3830 (forall @t2975 (=> @t671 (=> (forall @t2509 (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t4) @t412)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t412) @t4)))) (tptp.hBOOL (tptp.hAPP @t5107 @t4069)))) @t2956)))) % 6.34/6.56 (assume @p3831 (forall @t3793 (=> (tptp.hBOOL (tptp.hAPP @t3391 @t4549)) (=> (not @t4648) (exists @t8 (= @t6 @t453)))))) % 6.34/6.56 (assume @p3832 (forall (@list @t1615 @t25 @t465 @t127 @t628 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3018 (tptp.hAPP @t3017 @t1615))) (not (forall @t2509 (=> (= @t1615 (tptp.hAPP (tptp.hAPP @t2444 @t4) @t412)) (not (tptp.hBOOL (tptp.hAPP @t3018 (tptp.hAPP (tptp.hAPP @t25 @t4) @t412)))))))))) % 6.34/6.56 (assume @p3833 (forall (@list @t25 @t628 @t465 @t127 @t30 @t1615) (=> (forall @t2406 (=> (= @t1615 @t2438) (tptp.hBOOL (tptp.hAPP @t5108 (tptp.hAPP (tptp.hAPP @t25 @t472) @t2400))))) (tptp.hBOOL (tptp.hAPP @t5108 (tptp.hAPP (tptp.hAPP @t2476 @t25) @t1615)))))) % 6.34/6.56 (assume @p3834 (forall (@list @t23 @t1235 @t2 @t30) (=> (= @t4500 @t109) (exists @t8 (and @t3020 @t3821))))) % 6.34/6.56 (assume @p3835 (forall @t2753 (= (tptp.c_Hilbert__Choice_OEps @t2450 @t2752) (tptp.c_Hilbert__Choice_OEps @t2450 @t2751)))) % 6.34/6.56 (assume @p3836 (forall (@list @t30 @t25 @t27) (=> @t1074 (=> (= @t25 @t5109) (tptp.hBOOL (tptp.hAPP @t27 @t25)))))) % 6.34/6.56 (assume @p3837 (forall @t380 (= (tptp.c_Hilbert__Choice_OEps @t30 @t2771) @t378))) % 6.34/6.56 (assume @p3838 (forall @t380 (= (tptp.c_Hilbert__Choice_OEps @t30 (tptp.hAPP @t2781 @t378)) @t378))) % 6.34/6.56 (assume @p3839 (forall @t5111 (= @t5110 @t1074))) % 6.34/6.56 (assume @p3840 (forall @t5111 (=> @t1074 @t5110))) % 6.34/6.56 (assume @p3841 (forall (@list @t30 @t5112) (=> (exists @t8 (tptp.hBOOL (tptp.hAPP @t5112 @t4))) (tptp.hBOOL (tptp.hAPP @t5112 (tptp.c_Hilbert__Choice_OEps @t30 @t5112)))))) % 6.34/6.56 (assume @p3842 (forall (@list @t30 @t378 @t27) (=> @t2750 @t5110))) % 6.34/6.56 (assume @p3843 (forall @t2753 (= (tptp.c_Hilbert__Choice_OEps @t2450 @t27) (tptp.c_Hilbert__Choice_OEps @t2450 @t2768)))) % 6.34/6.56 (assume @p3844 (forall @t2779 (= (tptp.c_Hilbert__Choice_OEps @t2450 @t2778) @t2769))) % 6.34/6.56 (assume @p3845 (forall @t4695 (=> (forall @t5113 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4152) (tptp.hAPP @t5052 @t4152))) (= @t4152 @t2815))) @t5037))) % 6.34/6.56 (assume @p3846 (forall (@list @t2587 @t1473 @t127 @t2588 @t1235 @t30) (=> @t2590 (=> (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t3885) (tptp.hAPP @t2587 @t4))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3057 @t4750) (tptp.hAPP (tptp.hAPP @t4744 @t2588) @t2587))))))) % 6.34/6.56 (assume @p3847 (forall @t3561 (=> (forall @t415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t5114 @t378)) @t2033)) (tptp.hBOOL (tptp.hAPP @t4071 @t3310)))) @t3311))) % 6.34/6.56 (assume @p3848 (forall @t5117 (=> (not (tptp.hBOOL (tptp.hAPP @t2986 @t5115))) (not (forall @t1471 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t5116 @t378)) @t2474)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t1470) @t5115)))))))) % 6.34/6.56 (assume @p3849 (forall (@list @t2 @t3028 @t30 @t127) (=> @t3754 (=> @t3670 (=> (forall @t8 (=> @t3822 @t3857)) (= @t4123 @t3794)))))) % 6.34/6.56 (assume @p3850 (forall @t2602 (=> @t3403 (=> (=> @t3023 @t3725) @t3704)))) % 6.34/6.56 (assume @p3851 (forall (@list @t2474 @t83 @t84 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3235 (tptp.hAPP (tptp.hAPP @t3233 @t84) @t83)) @t3232)) (and @t4735 @t4734 @t4733 (forall @t8 (=> @t4732 (exists @t3502 (and @t4731 @t4737)))))))) % 6.34/6.56 (assume @p3852 (forall (@list @t628 @t218 @t1 @t1235 @t30 @t127) (=> @t4112 (=> @t3403 (=> (forall @t8 (=> @t3020 (= @t5 @t4128))) (= @t4110 (tptp.hAPP (tptp.hAPP @t4106 @t628) @t1235))))))) % 6.34/6.56 (assume @p3853 (forall (@list @t1 @t2 @t1235 @t1473 @t30 @t127) (=> @t3790 (=> @t3414 (=> @t2503 (=> (forall @t8 (=> @t3020 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3819 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP @t3827 @t3840)))))))) % 6.34/6.56 (assume @p3854 (forall @t2821 (=> @t1228 (=> @t3403 (=> (forall @t415 (=> @t4072 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t412) @t378)))) (=> @t2987 @t3608)))))) % 6.34/6.56 (assume @p3855 (forall @t2821 (=> @t1228 (=> @t3403 (=> (forall @t415 (=> @t4072 (tptp.hBOOL (tptp.hAPP @t1212 @t412)))) (=> @t2987 @t3657)))))) % 6.34/6.56 (assume @p3856 (forall (@list @t2 @t2033 @t30) (=> @t5038 (not (forall @t597 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t595))) (tptp.hAPP @t2 @t595))) @t2033))))))) % 6.34/6.56 (assume @p3857 (forall @t4579 (=> @t4543 (=> @t4175 (=> @t4577 (=> (forall @t473 (=> @t4522 (= (tptp.hAPP @t1 @t472) (tptp.hAPP @t218 (tptp.hAPP @t2 @t472))))) (= (tptp.hAPP @t4571 @t1473) (tptp.hAPP (tptp.hAPP @t4542 @t1) @t1235)))))))) % 6.34/6.56 (assume @p3858 (forall (@list @t1 @t2 @t819 @t64 @t25 @t140 @t30 @t127) (=> (and @t4420 @t2576) (=> @t2831 (=> @t2830 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t1483 @t4)) (=> (tptp.hBOOL (tptp.hAPP @t4825 @t819)) @t7))) (= (tptp.hAPP @t4421 @t4275) (tptp.hAPP @t4417 @t4274)))))))) % 6.34/6.56 (assume @p3859 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t5119 @t5118)) @t497))) % 6.34/6.56 (assume @p3860 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 (= @t3682 @t5121)))))) % 6.34/6.56 (assume @p3861 (forall (@list @t628 @t2 @t30 @t127) (= (tptp.hAPP @t5122 @t3290) @t628))) % 6.34/6.56 (assume @p3862 (forall (@list @t61 @t1235 @t3404 @t2 @t127 @t30) (=> @t4594 (=> @t3403 (= (tptp.hAPP @t3435 @t61) (tptp.hAPP (tptp.hAPP @t5123 @t61) @t1235)))))) % 6.34/6.56 (assume @p3863 (forall @t4940 (= @t4097 (tptp.c_Finite__Set_Ofold @t127 @t30 @t4607)))) % 6.34/6.56 (assume @p3864 (forall @t2036 (=> @t5038 (tptp.c_Wellfounded_Owf @t30 @t5124)))) % 6.34/6.56 (assume @p3865 (forall (@list @t1235 @t628 @t2 @t30 @t127) (= (tptp.hAPP @t5122 @t1235) (tptp.c_HOL_OThe @t30 (tptp.c_Finite__Set_Ofold__graph @t127 @t30 @t2 @t628 @t1235))))) % 6.34/6.56 (assume @p3866 (forall @t2504 (=> @t3403 (= @t3150 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t30 @t2371 @t2817) @t1473) @t1235))))) % 6.34/6.56 (assume @p3867 (forall @t5128 (=> @t3172 (=> @t3403 (= (tptp.hAPP @t5126 @t2823) (tptp.hAPP @t3610 @t5127)))))) % 6.34/6.56 (assume @p3868 (forall @t5128 (=> @t3487 (=> @t3403 (= (tptp.hAPP @t5130 @t2823) (tptp.hAPP @t3613 @t5131)))))) % 6.34/6.56 (assume @p3869 (= tptp.c_Wellfounded_Oless__than @t5118)) % 6.34/6.56 (assume @p3870 (forall @t5128 (=> @t1228 (=> @t3403 (= (tptp.hAPP @t5133 @t2823) (tptp.hAPP @t3686 @t5134)))))) % 6.34/6.56 (assume @p3871 (forall @t5128 (=> @t1228 (=> @t3403 (= (tptp.hAPP @t5135 @t2823) (tptp.hAPP @t3687 @t5136)))))) % 6.34/6.56 (assume @p3872 (forall @t2036 (= @t5098 @t5137))) % 6.34/6.56 (assume @p3873 (forall @t5143 (=> @t4888 (=> @t3403 @t5142)))) % 6.34/6.56 (assume @p3874 (forall @t5143 (=> @t4888 (=> @t3403 @t5145)))) % 6.34/6.56 (assume @p3875 (forall @t3852 (=> @t3963 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t5146 @t1473) @t4012) (tptp.hAPP (tptp.hAPP @t5147 @t1473) @t1235)))))) % 6.34/6.56 (assume @p3876 (forall (@list @t140 @t1235 @t3404 @t2 @t30) (=> @t4518 (=> @t3403 (= (tptp.hAPP @t3404 @t2823) (tptp.hAPP (tptp.hAPP @t5148 @t140) @t1235)))))) % 6.34/6.56 (assume @p3877 (forall @t5150 (=> @t3172 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5149) @t5127))))))) % 6.34/6.56 (assume @p3878 (forall @t5150 (=> @t3487 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5131) @t5151))))))) % 6.34/6.56 (assume @p3879 (forall @t5150 (=> @t1228 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5134) (tptp.hAPP @t3686 @t64)))))))) % 6.34/6.56 (assume @p3880 (forall @t5150 (=> @t1228 (=> @t3403 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t3687 @t64)) @t5136))))))) % 6.34/6.56 (assume @p3881 (forall @t3410 (=> @t4823 (=> @t3403 @t5152)))) % 6.34/6.56 (assume @p3882 (forall @t3410 (=> @t3204 (=> @t3403 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t2823) (tptp.hAPP (tptp.hAPP @t5125 @t140) @t1235)))))) % 6.34/6.56 (assume @p3883 (forall @t3410 (=> @t3204 (=> @t3403 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t2823) (tptp.hAPP (tptp.hAPP @t5129 @t140) @t1235)))))) % 6.34/6.56 (assume @p3884 (forall @t3410 (=> @t1228 (=> @t3403 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t2823) @t5153))))) % 6.34/6.56 (assume @p3885 (forall @t3410 (=> @t1228 (=> @t3403 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t2823) @t5154))))) % 6.34/6.56 (assume @p3886 (forall @t3410 (=> @t1228 (=> @t3403 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t2823) @t5153))))) % 6.34/6.56 (assume @p3887 (forall @t3410 (=> @t1228 (=> @t3403 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t2823) @t5154))))) % 6.34/6.56 (assume @p3888 (forall @t2504 (=> @t3403 (= @t3183 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t30 @t2371 @t4862) @t1473) @t1235))))) % 6.34/6.56 (assume @p3889 (forall @t3439 (=> @t3438 (=> @t3403 (=> @t2988 (= @t3453 (tptp.hAPP (tptp.hAPP @t5148 @t378) @t1235))))))) % 6.34/6.56 (assume @p3890 (forall @t3791 (=> @t3963 (=> @t3403 (= @t4012 (tptp.hAPP (tptp.hAPP @t5147 (tptp.c_Orderings_Obot__class_Obot @t127)) @t1235)))))) % 6.34/6.56 (assume @p3891 (forall @t3410 (=> @t4624 (=> @t3403 (=> @t3026 @t5152))))) % 6.34/6.56 (assume @p3892 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2988 (= @t3627 (tptp.hAPP (tptp.hAPP @t5125 @t378) @t1235))))))) % 6.34/6.56 (assume @p3893 (forall @t2821 (=> @t3204 (=> @t3403 (=> @t2988 (= @t3629 (tptp.hAPP (tptp.hAPP @t5129 @t378) @t1235))))))) % 6.34/6.56 (assume @p3894 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 (= @t3661 @t5155)))))) % 6.34/6.56 (assume @p3895 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 (= @t3631 @t5121)))))) % 6.34/6.56 (assume @p3896 (forall @t2821 (=> @t1228 (=> @t3403 (=> @t2988 (= @t3680 @t5155)))))) % 6.34/6.56 (assume @p3897 (forall @t3308 (=> @t3364 @t5156))) % 6.34/6.56 (assume @p3898 (forall @t2036 (tptp.hBOOL (tptp.hAPP @t5157 (tptp.hAPP (tptp.hAPP @t4788 @t3305) (tptp.hAPP @t4787 @t3305)))))) % 6.34/6.56 (assume @p3899 (forall @t5161 (=> @t5160 @t5159))) % 6.34/6.56 (assume @p3900 (forall @t1809 (= (tptp.c_Transitive__Closure_Otrancl @t30 @t3073) @t3073))) % 6.34/6.56 (assume @p3901 (forall @t2036 (= (tptp.hAPP @t5082 @t5124) @t5083))) % 6.34/6.56 (assume @p3902 (forall @t2036 (= (tptp.hAPP @t5070 @t5124) @t5095))) % 6.34/6.56 (assume @p3903 (forall @t2036 (= (tptp.hBOOL (tptp.hAPP @t3392 @t5124)) @t3393))) % 6.34/6.56 (assume @p3904 (forall @t5167 (=> @t5156 @t5166))) % 6.34/6.56 (assume @p3905 (forall @t5167 (=> @t5156 @t5169))) % 6.34/6.56 (assume @p3906 (forall @t5167 (=> @t3364 @t5166))) % 6.34/6.56 (assume @p3907 (forall (@list @t25 @t2474 @t64 @t140 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3363 @t2474)) (=> (tptp.hBOOL (tptp.hAPP @t5165 @t2474)) (tptp.hBOOL (tptp.hAPP @t5162 @t5170)))))) % 6.34/6.56 (assume @p3908 (forall (@list @t61 @t2033 @t1615 @t30) (=> @t5159 (=> @t3357 (tptp.hBOOL (tptp.hAPP @t5158 (tptp.c_Transitive__Closure_Otrancl @t30 @t61))))))) % 6.34/6.56 (assume @p3909 (forall @t2036 (= @t5124 (tptp.hAPP @t3360 (tptp.hAPP (tptp.hAPP @t5025 @t5124) @t2033))))) % 6.34/6.56 (assume @p3910 (forall @t4826 (=> @t4790 (tptp.hBOOL (tptp.hAPP @t5157 @t4789))))) % 6.34/6.56 (assume @p3911 (forall @t3358 (=> @t3357 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 (tptp.hAPP (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t4104 @t5124) @t61)) @t2033)) @t61)) (tptp.hBOOL (tptp.hAPP @t5157 @t61)))))) % 6.34/6.56 (assume @p3912 (forall @t5173 (=> @t5172 (=> @t3403 (=> @t2987 (= @t5139 @t5171)))))) % 6.34/6.56 (assume @p3913 (forall @t5143 (=> @t5172 (=> @t3403 (= @t5141 @t5171))))) % 6.34/6.56 (assume @p3914 (forall @t4325 (=> @t5172 (= @t4605 @t4606)))) % 6.34/6.56 (assume @p3915 (forall @t4631 (=> @t5172 (=> @t4626 (=> @t4630 @t2838))))) % 6.34/6.56 (assume @p3916 (forall @t4658 (=> @t5172 (tptp.c_Finite__Set_Ofun__left__comm @t465 @t127 @t4913)))) % 6.34/6.56 (assume @p3917 (forall @t4326 (=> @t5172 (= (tptp.hAPP @t668 (tptp.hAPP @t2433 @t628)) (tptp.hAPP @t2433 @t4914))))) % 6.34/6.56 (assume @p3918 (forall @t1809 (=> @t4624 (tptp.c_Finite__Set_Ofun__left__comm @t30 @t30 @t776)))) % 6.34/6.56 (assume @p3919 (forall @t5173 (=> @t5172 (=> @t3403 (= @t5140 @t5144))))) % 6.34/6.56 (assume @p3920 (forall (@list @t696 @t1235 @t628 @t2 @t127 @t30) (=> @t5172 (=> @t4630 (= @t5139 @t696))))) % 6.34/6.56 (assume @p3921 (forall (@list @t628 @t1235 @t2 @t127 @t30) (=> @t5172 (=> @t3403 (tptp.hBOOL (tptp.hAPP @t4625 @t5139)))))) % 6.34/6.56 (assume @p3922 (forall @t5173 (=> @t5172 (=> @t3403 (=> @t2988 @t5145))))) % 6.34/6.56 (assume @p3923 (forall @t5173 (=> @t5172 (=> @t3403 (=> @t2988 @t5142))))) % 6.34/6.56 (assume @p3924 (forall (@list @t140 @t696 @t1235 @t628 @t2 @t127 @t30) (=> @t5172 (=> @t4630 (=> @t3003 (exists (@list @t5174) (and (= @t696 (tptp.hAPP @t2416 @t5174)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t30 @t127 @t2 @t628 @t2919) @t5174))))))))) % 6.34/6.56 (assume @p3925 (forall @t5179 (= (tptp.c_Transitive__Closure_Otrancl @t30 @t5178) (tptp.hAPP @t5176 (tptp.hAPP @t4953 (tptp.hAPP @t3929 (tptp.hAPP (tptp.hAPP @t2946 (tptp.hAPP @t4087 (tptp.hAPP @t2773 (tptp.hAPP (tptp.hAPP @t3242 (tptp.hAPP @t3239 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t30 @t3064) @t3061) @t696))) @t5175)))) (tptp.hAPP (tptp.hAPP @t3242 (tptp.hAPP @t3239 @t3078)) @t5175)))))))) % 6.34/6.56 (assume @p3926 (forall @t5161 (=> @t5160 (tptp.hBOOL (tptp.hAPP @t5158 @t5175))))) % 6.34/6.56 (assume @p3927 (forall @t3367 (tptp.hBOOL (tptp.hAPP @t4107 @t5175)))) % 6.34/6.56 (assume @p3928 (forall @t3308 (=> @t5156 @t5180))) % 6.34/6.56 (assume @p3929 (forall @t4695 (= (tptp.hAPP @t5082 @t5181) @t4633))) % 6.34/6.56 (assume @p3930 (forall @t4695 (= (tptp.hAPP @t5070 @t5181) @t4633))) % 6.34/6.56 (assume @p3931 (forall @t4695 (= (tptp.hAPP (tptp.hAPP @t5025 @t5181) @t5181) @t5181))) % 6.34/6.56 (assume @p3932 (forall @t2036 (= @t5183 @t5182))) % 6.34/6.56 (assume @p3933 (forall (@list @t164 @t2033 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t3386 @t164)) @t164)) (= (tptp.hAPP (tptp.c_Relation_OImage @t30 @t30 @t5175) @t164) @t164)))) % 6.34/6.56 (assume @p3934 (forall @t3358 (=> @t3357 @t5186))) % 6.34/6.56 (assume @p3935 (forall @t3033 (=> (tptp.hBOOL (tptp.hAPP @t5057 @t3028)) (=> (tptp.hBOOL (tptp.hAPP @t5056 @t5181)) (= @t5187 @t5181))))) % 6.34/6.56 (assume @p3936 (forall @t3358 (=> (tptp.hBOOL (tptp.hAPP @t3356 @t5184)) @t5186))) % 6.34/6.56 (assume @p3937 (forall @t3033 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t5190) @t5188)))) % 6.34/6.56 (assume @p3938 (forall @t3033 (= (tptp.c_Transitive__Closure_Ortrancl @t30 @t5190) @t5188))) % 6.34/6.56 (assume @p3939 (forall (@list @t3028 @t2474 @t378 @t30) (=> (or (tptp.hBOOL (tptp.hAPP @t5191 @t5181)) (tptp.hBOOL (tptp.hAPP @t5191 @t5187))) (tptp.hBOOL (tptp.hAPP @t5191 @t5188))))) % 6.34/6.56 (assume @p3940 (forall @t5167 (=> @t3364 @t5194))) % 6.34/6.56 (assume @p3941 (forall @t5167 (=> @t5180 (=> @t5168 @t5192)))) % 6.34/6.56 (assume @p3942 (forall @t5167 (=> @t5180 @t5194))) % 6.34/6.56 (assume @p3943 (forall @t2036 (tptp.c_Relation_Orefl__on @t30 @t4633 @t5175))) % 6.34/6.56 (assume @p3944 (forall @t2036 (= (tptp.c_Transitive__Closure_Ortrancl @t30 @t5175) @t5175))) % 6.34/6.56 (assume @p3945 (forall @t4695 (= (tptp.c_Transitive__Closure_Otrancl @t30 @t5181) @t5181))) % 6.34/6.56 (assume @p3946 (forall @t4695 (= (tptp.c_Transitive__Closure_Ortrancl @t30 @t5170) @t5181))) % 6.34/6.56 (assume @p3947 (forall @t2036 (= @t5124 @t5183))) % 6.34/6.56 (assume @p3948 (forall @t2036 (= @t5124 @t5182))) % 6.34/6.56 (assume @p3949 (forall @t5197 (= @t5196 (or @t894 (and @t1227 @t5195))))) % 6.34/6.56 (assume @p3950 (forall @t5167 (=> @t3364 @t5198))) % 6.34/6.56 (assume @p3951 (forall (@list @t2474 @t64 @t140 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3363 @t5181)) (or @t759 (and @t823 (tptp.hBOOL (tptp.hAPP @t3363 @t5170))))))) % 6.34/6.56 (assume @p3952 (forall @t5167 (=> @t5180 @t5169))) % 6.34/6.56 (assume @p3953 (forall @t5167 (=> @t5156 @t5198))) % 6.34/6.56 (assume @p3954 (forall (@list @t628 @t2033 @t696 @t378 @t30) (=> @t5200 (=> (tptp.hBOOL (tptp.hAPP @t3955 @t5124)) (tptp.hBOOL (tptp.hAPP @t5199 @t5124)))))) % 6.34/6.56 (assume @p3955 (forall (@list @t696 @t2474 @t378 @t30) (=> (not (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5082 @t2474)))) (= @t5196 @t894)))) % 6.34/6.56 (assume @p3956 (forall (@list @t64 @t2033 @t140 @t30) (=> @t3362 (=> @t5201 @t3365)))) % 6.34/6.56 (assume @p3957 (forall (@list @t2033 @t140 @t64 @t30) (=> @t5201 (=> @t3362 @t3365)))) % 6.34/6.56 (assume @p3958 (forall @t5179 (= (tptp.c_Wellfounded_Owf @t30 @t5178) (and @t5038 @t5202)))) % 6.34/6.56 (assume @p3959 (forall @t5179 (= (tptp.c_Wellfounded_Oacyclic @t30 @t5178) (and @t5098 @t5202)))) % 6.34/6.56 (assume @p3960 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t5119 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t936))) % 6.34/6.56 (assume @p3961 (forall (@list @t1235 @t2033 @t64 @t140 @t30) (=> @t5180 (=> @t4790 @t3024)))) % 6.34/6.56 (assume @p3962 (forall @t3313 (=> (= (tptp.hAPP (tptp.hAPP @t4104 @t5205) @t5175) @t3073) (not (tptp.hBOOL (tptp.hAPP @t5203 @t5124)))))) % 6.34/6.56 (assume @p3963 (forall @t3791 (=> @t3963 (=> @t3403 (= @t5210 (tptp.hAPP (tptp.hAPP @t5207 (tptp.c_Orderings_Otop__class_Otop @t127)) @t1235)))))) % 6.34/6.56 (assume @p3964 (forall @t5215 (=> @t5214 (=> (not @t3884) @t3026)))) % 6.34/6.56 (assume @p3965 (forall @t5215 (=> @t5214 (=> @t3003 @t3884)))) % 6.34/6.56 (assume @p3966 (forall @t5222 (=> @t5221 (=> (not @t5217) (not @t5216))))) % 6.34/6.56 (assume @p3967 (forall @t5222 (=> @t5221 (=> @t5216 @t5217)))) % 6.34/6.56 (assume @p3968 (forall @t5225 (=> @t5224 (=> (not @t4058) @t3026)))) % 6.34/6.56 (assume @p3969 (forall @t5225 (=> @t5224 (=> @t3003 @t4058)))) % 6.34/6.56 (assume @p3970 (forall (@list @t1235 @t127 @t3971 @t30) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t2789 @t3971)) (tptp.hBOOL (tptp.hAPP @t3406 @t2787)))) (tptp.hBOOL (tptp.hAPP @t3406 @t5226))))) % 6.34/6.56 (assume @p3971 (forall @t2036 (= @t5227 (tptp.hAPP @t5204 @t5175)))) % 6.34/6.56 (assume @p3972 (forall @t2036 (= @t5229 @t5228))) % 6.34/6.56 (assume @p3973 (forall @t2036 (=> @t5230 (tptp.c_Wellfounded_Owf @t30 @t5228)))) % 6.34/6.56 (assume @p3974 (forall @t2036 (= (tptp.c_Wellfounded_Oacyclic @t30 @t5205) @t5098))) % 6.34/6.56 (assume @p3975 (forall @t4032 (and (=> @t4027 (= @t5234 @t1473)) (=> @t4028 (= @t5234 @t5232))))) % 6.34/6.56 (assume @p3976 (forall @t4032 (and (=> @t4027 (= @t5236 @t1235)) (=> @t4028 (= @t5236 @t5235))))) % 6.34/6.56 (assume @p3977 (forall @t3964 (=> @t3963 (=> @t3022 (= (tptp.hAPP @t5209 @t3960) @t3622))))) % 6.34/6.56 (assume @p3978 (forall @t3302 (and (=> @t2820 (= @t5237 @t4636)) (=> @t3022 (= @t5237 @t25))))) % 6.34/6.56 (assume @p3979 (forall (@list @t1473 @t30 @t127) (= (tptp.hAPP (tptp.hAPP @t5218 @t3290) @t1473) @t4633))) % 6.34/6.56 (assume @p3980 (forall (@list @t61 @t2033 @t465 @t30 @t127) (= (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t127 @t465 @t30) @t2033) @t61)) (tptp.hAPP (tptp.hAPP @t5015 (tptp.hAPP (tptp.c_Relation_Oconverse @t465 @t30) @t61)) (tptp.hAPP (tptp.c_Relation_Oconverse @t127 @t465) @t2033))))) % 6.34/6.56 (assume @p3981 (forall @t4038 (= (tptp.hAPP (tptp.hAPP @t5218 @t4037) @t1473) (tptp.hAPP (tptp.hAPP @t3462 @t3882) @t5220)))) % 6.34/6.56 (assume @p3982 (forall @t3983 (= (tptp.hAPP (tptp.hAPP @t5218 @t3270) @t3622) (tptp.hAPP (tptp.hAPP @t3462 (tptp.hAPP @t5219 @t3622)) (tptp.hAPP (tptp.hAPP @t5218 @t1473) @t3622))))) % 6.34/6.56 (assume @p3983 (forall @t4003 (= (tptp.hBOOL (tptp.hAPP @t2500 @t5240)) (forall @t8 (=> @t3972 (tptp.hBOOL (tptp.hAPP @t2500 @t2787))))))) % 6.34/6.56 (assume @p3984 (forall @t3996 (= (tptp.hAPP (tptp.hAPP @t3148 @t5240) (tptp.hAPP @t5242 @t1473)) (tptp.hAPP @t5239 (tptp.hAPP (tptp.hAPP @t3995 @t5242) (tptp.hAPP (tptp.hAPP @t3992 (tptp.hAPP @t3991 @t3985)) @t1473)))))) % 6.34/6.56 (assume @p3985 (forall @t4001 (= @t5245 @t5244))) % 6.34/6.56 (assume @p3986 (forall @t4003 (= (tptp.hAPP @t3185 @t5240) (tptp.hAPP @t5239 (tptp.hAPP (tptp.hAPP @t4002 @t3185) @t1235))))) % 6.34/6.56 (assume @p3987 (forall @t4006 (= @t5248 @t5246))) % 6.34/6.56 (assume @p3988 (forall @t4007 (= @t5244 @t5245))) % 6.34/6.56 (assume @p3989 (forall @t4007 (= @t5246 @t5248))) % 6.34/6.56 (assume @p3990 (forall @t5251 (= (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t3346 @t2033) @t61)) (tptp.hAPP (tptp.hAPP @t3229 @t5250) @t5249)))) % 6.34/6.56 (assume @p3991 (forall (@list @t3622 @t1235 @t127 @t1586 @t30) (=> @t3941 (= (tptp.hBOOL (tptp.hAPP @t5252 (tptp.hAPP @t5254 @t3622))) (forall @t8 (=> @t3284 (tptp.hBOOL (tptp.hAPP @t5252 @t3956)))))))) % 6.34/6.56 (assume @p3992 (forall (@list @t1473 @t140 @t2588 @t30 @t127) (= @t5256 @t5255))) % 6.34/6.56 (assume @p3993 (forall (@list @t1473 @t2588 @t127 @t140 @t30) (= @t5255 @t5256))) % 6.34/6.56 (assume @p3994 (forall @t4018 (=> @t4017 (= (tptp.hAPP @t5212 @t4016) (tptp.hAPP @t3288 @t5213))))) % 6.34/6.56 (assume @p3995 (forall @t3758 (=> @t3003 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3275 @t5213) @t3882))))) % 6.34/6.56 (assume @p3996 (forall (@list @t1473 @t1235 @t465 @t2033 @t127 @t30) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5261) @t5258)))) % 6.34/6.56 (assume @p3997 (forall @t3978 (= (tptp.hAPP (tptp.hAPP @t5218 @t3977) @t1473) (tptp.hAPP @t5257 @t3976)))) % 6.34/6.56 (assume @p3998 (forall @t3982 (= (tptp.hAPP @t5219 @t3981) (tptp.hAPP (tptp.hAPP @t5241 @t3979) @t1473)))) % 6.34/6.56 (assume @p3999 (forall @t4713 (= (tptp.hAPP @t4702 @t5260) (tptp.hAPP @t5257 @t4712)))) % 6.34/6.56 (assume @p4000 (forall @t3959 (= @t5221 (forall @t8 (=> @t3284 @t3958))))) % 6.34/6.56 (assume @p4001 (forall @t4022 (=> @t4021 (= (tptp.hAPP (tptp.hAPP @t3547 @t4020) @t5226) @t5226)))) % 6.34/6.56 (assume @p4002 (forall @t5069 (=> @t5264 @t5263))) % 6.34/6.56 (assume @p4003 (forall @t5069 (=> @t3347 (tptp.hBOOL (tptp.hAPP @t5262 @t5265))))) % 6.34/6.56 (assume @p4004 (forall @t5069 (= @t5264 @t5263))) % 6.34/6.56 (assume @p4005 (forall @t4664 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5266 @t4663) @t378)) (tptp.hBOOL (tptp.hAPP @t3264 (tptp.hAPP @t5266 @t2033)))))) % 6.34/6.56 (assume @p4006 (forall @t4685 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5223 @t4633) @t4684) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t4679 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t30 @t4677) @t4633) @t2033)))))) % 6.34/6.56 (assume @p4007 (forall @t3804 (= (= @t4633 @t5220) @t5267))) % 6.34/6.56 (assume @p4008 (forall @t3966 (= (= @t5220 @t4633) @t5267))) % 6.34/6.56 (assume @p4009 (forall @t5077 (= (tptp.hBOOL (tptp.hAPP @t4646 @t5250)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2687) @t2033))))) % 6.34/6.56 (assume @p4010 (forall (@list @t140 @t2 @t1235 @t127 @t30) (=> @t3957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 (tptp.hAPP @t5254 @t2)) @t140)) (exists @t8 (and @t3284 (tptp.hBOOL (tptp.hAPP @t5107 @t140)))))))) % 6.34/6.56 (assume @p4011 (forall @t5251 (= (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t5079 @t2033) @t61)) (tptp.hAPP (tptp.hAPP @t3577 @t5250) @t5249)))) % 6.34/6.56 (assume @p4012 (forall @t3988 (= (tptp.hAPP @t5239 @t5268) (tptp.hAPP (tptp.hAPP @t3462 @t5240) (tptp.hAPP @t5239 @t1473))))) % 6.34/6.56 (assume @p4013 (forall @t3942 (=> @t3941 (= (tptp.hAPP @t5254 (tptp.hAPP (tptp.hAPP @t3940 @t5269) @t2)) (tptp.hAPP @t5269 (tptp.hAPP (tptp.hAPP @t3937 @t5254) @t3934)))))) % 6.34/6.56 (assume @p4014 (forall @t4009 (=> @t3941 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t127 @t3939) @t1235) @t2) @t378) (tptp.hAPP @t5254 @t4008))))) % 6.34/6.56 (assume @p4015 (forall (@list @t2 @t2474 @t127 @t30) (= (tptp.hAPP @t5204 (tptp.hAPP (tptp.hAPP @t3244 @t2474) @t2)) (tptp.hAPP (tptp.hAPP @t3244 (tptp.hAPP (tptp.c_Relation_Oconverse @t127 @t127) @t2474)) @t2)))) % 6.34/6.56 (assume @p4016 (forall @t2036 (= (tptp.hAPP @t3304 @t5205) @t3305))) % 6.34/6.56 (assume @p4017 (forall @t5271 (= (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t3345) @t3028) @t2033)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t3040) @t3028) @t5270)))) % 6.34/6.56 (assume @p4018 (forall @t5073 (= (tptp.hAPP @t5238 @t5265) @t2033))) % 6.34/6.56 (assume @p4019 (forall @t1809 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t30 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t30)))) % 6.34/6.56 (assume @p4020 (forall @t3474 (= (tptp.c_Relation_Orefl__on @t30 @t1235 @t5205) @t4089))) % 6.34/6.56 (assume @p4021 (forall @t2602 (= (tptp.hAPP @t5204 @t4082) @t4082))) % 6.34/6.56 (assume @p4022 (forall @t3804 (= (tptp.hAPP @t4136 @t5220) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t127 @t2944) @t1235) @t4148)))) % 6.34/6.56 (assume @p4023 (forall (@list @t27 @t1235 @t127 @t30) (= (tptp.hAPP @t4876 (tptp.hAPP @t5273 (tptp.hAPP @t5272 @t27))) (tptp.hAPP @t5219 (tptp.hAPP @t4922 (tptp.hAPP @t4342 @t27)))))) % 6.34/6.56 (assume @p4024 (forall @t4006 (= @t5275 @t5274))) % 6.34/6.56 (assume @p4025 (forall @t4007 (= @t5274 @t5275))) % 6.34/6.56 (assume @p4026 (forall @t5271 (= (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t3345) @t3028) @t2033)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t3040) @t3028) @t5270)))) % 6.34/6.56 (assume @p4027 (forall @t3948 (= (tptp.hAPP @t5219 (tptp.hAPP (tptp.hAPP @t3947 (tptp.hAPP (tptp.hAPP @t3946 @t5241) @t1473)) @t2588)) (tptp.hAPP (tptp.hAPP @t5241 @t3944) @t2588)))) % 6.34/6.56 (assume @p4028 (forall @t3952 (= (tptp.hAPP (tptp.hAPP @t5218 @t3895) @t2588) (tptp.hAPP @t5257 (tptp.hAPP (tptp.hAPP @t3951 (tptp.hAPP (tptp.hAPP @t3950 @t5218) @t1473)) @t2588))))) % 6.34/6.56 (assume @p4029 (forall @t3804 (= (tptp.hAPP @t2599 @t3924) (tptp.hAPP @t5219 @t5276)))) % 6.34/6.56 (assume @p4030 (forall @t3804 (= (tptp.hAPP @t2599 @t5220) (tptp.hAPP @t3922 @t5276)))) % 6.34/6.56 (assume @p4031 (forall @t3474 (=> @t3389 @t5278))) % 6.34/6.56 (assume @p4032 (forall @t5073 (= (tptp.hAPP @t5067 @t5265) @t5086))) % 6.34/6.56 (assume @p4033 (forall @t5077 (= @t5279 @t5072))) % 6.34/6.56 (assume @p4034 (forall @t5073 (= @t5072 @t5279))) % 6.34/6.56 (assume @p4035 (forall @t3852 (=> @t3963 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 (tptp.hAPP (tptp.hAPP @t5208 @t1473) @t2)) @t5210)))))) % 6.34/6.56 (assume @p4036 (forall @t3966 (= @t5220 (tptp.hAPP @t4876 (tptp.hAPP @t5273 (tptp.hAPP @t5272 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3949 @t2742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 (tptp.tc_fun @t3949 @t2742) @t30) @t4977) @t2788)) @t1473))))))) % 6.34/6.56 (assume @p4037 (forall @t4032 (and (=> @t4027 (= @t5235 @t4636)) (=> @t4028 (= @t5235 @t5236))))) % 6.34/6.56 (assume @p4038 (forall @t4032 (and (=> @t4027 (= @t5232 @t4636)) (=> @t4028 (= @t5232 @t5234))))) % 6.34/6.56 (assume @p4039 (forall @t4032 (and (=> @t4027 (= @t5281 @t4636)) (=> @t4028 (= @t5281 @t5280))))) % 6.34/6.56 (assume @p4040 (forall @t4032 (and (=> @t4027 (= @t5280 (tptp.hAPP (tptp.hAPP @t3295 @t4636) @t1473))) (=> @t4028 (= @t5280 @t5281))))) % 6.34/6.56 (assume @p4041 (forall @t4032 (and (=> @t4027 (= @t5283 @t1235)) (=> @t4028 (= @t5283 @t5282))))) % 6.34/6.56 (assume @p4042 (forall @t5286 (=> @t5285 @t5284))) % 6.34/6.56 (assume @p4043 (forall @t5179 (=> @t5284 @t5285))) % 6.34/6.56 (assume @p4044 (forall @t5286 (=> @t5288 @t5287))) % 6.34/6.56 (assume @p4045 (forall @t5286 (=> @t5287 @t5288))) % 6.34/6.56 (assume @p4046 (forall (@list @t1473 @t1235 @t2033 @t127 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3352) @t1473)) (tptp.hBOOL (tptp.hAPP @t4795 (tptp.hAPP @t4670 (tptp.hAPP (tptp.c_Relation_OImage @t30 @t127 @t5250) @t2601))))))) % 6.34/6.56 (assume @p4047 (forall @t4014 (=> @t3963 (=> @t3820 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 (tptp.hAPP @t5209 @t3622)) @t4013)))))) % 6.34/6.56 (assume @p4048 (forall @t3474 (=> @t4089 (tptp.hBOOL (tptp.hAPP @t3356 @t5277))))) % 6.34/6.56 (assume @p4049 (forall @t4826 (=> @t5278 (=> (= @t5083 @t1235) @t3389)))) % 6.34/6.56 (assume @p4050 (forall @t2036 (=> @t3393 (=> @t5098 @t5230)))) % 6.34/6.56 (assume @p4051 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t2246) @t4637) @t4536) @t3339)) % 6.34/6.56 (assume @p4052 (forall @t4032 (and (=> @t4027 (= @t5282 @t4636)) (=> @t4028 (= @t5282 @t5283))))) % 6.34/6.56 (assume @p4053 (forall @t5073 (= @t5250 (tptp.hAPP @t4896 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t3345 @t2742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5289 (tptp.tc_fun @t3345 @t2742) @t30) (tptp.c_COMBC @t127 @t3345 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t127 @t2687) @t5289 @t30) (tptp.hAPP (tptp.c_COMBB @t2687 @t4932 @t127) @t3349)) @t4213))) @t2033)))))) % 6.34/6.56 (assume @p4054 (forall @t3852 (=> @t3963 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t5206 @t1473) @t5210) (tptp.hAPP (tptp.hAPP @t5207 @t1473) @t1235)))))) % 6.34/6.56 (assume @p4055 (forall (@list @t327 @t178 @t2033 @t2 @t30) (=> (forall @t1242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 (tptp.hAPP @t2 @t1616)) @t1851)) @t5175))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 (tptp.hAPP @t2 @t1547)) @t3818)) @t5175))))) % 6.34/6.56 (assume @p4056 (forall @t5292 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2373) @t3312) tptp.c_fequal) @t378) @t696)) (tptp.hBOOL (tptp.hAPP @t3079 @t5291))))) % 6.34/6.56 (assume @p4057 (forall @t359 (tptp.hBOOL (tptp.hAPP @t4107 @t5290)))) % 6.34/6.56 (assume @p4058 (forall @t3890 (= @t5214 (forall @t8 (=> @t3020 @t3889))))) % 6.34/6.56 (assume @p4059 (forall @t4080 (= @t5224 (forall @t8 (=> @t3020 @t4079))))) % 6.34/6.56 (assume @p4060 (forall @t1809 (= (tptp.hAPP @t5204 @t5290) @t5290))) % 6.34/6.56 (assume @p4061 (forall @t2602 (= (tptp.hAPP (tptp.c_Relation_OImage @t30 @t30 @t5290) @t1235) @t1235))) % 6.34/6.56 (assume @p4062 (forall @t5093 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t30 @t127 @t127) @t2474) (tptp.c_Relation_OId @t127)) @t2474))) % 6.34/6.56 (assume @p4063 (forall @t5093 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t30 @t30 @t127) @t5290) @t2474) @t2474))) % 6.34/6.56 (assume @p4064 (forall @t745 (= (tptp.hBOOL (tptp.hAPP @t3363 @t5290)) @t759))) % 6.34/6.56 (assume @p4065 (forall @t1809 (= (tptp.hAPP @t5082 @t5290) @t4633))) % 6.34/6.56 (assume @p4066 (forall @t1809 (= (tptp.c_Transitive__Closure_Ortrancl @t30 @t3073) @t5290))) % 6.34/6.56 (assume @p4067 (forall @t1809 (= (tptp.hAPP @t5070 @t5290) @t4633))) % 6.34/6.56 (assume @p4068 (forall @t4695 (= (tptp.c_Transitive__Closure_Ortrancl @t30 (tptp.hAPP @t5043 @t5290)) @t5181))) % 6.34/6.56 (assume @p4069 (forall @t4695 (= (tptp.hAPP @t5189 @t5290) @t5181))) % 6.34/6.56 (assume @p4070 (forall @t1809 (tptp.c_Relation_Orefl__on @t30 @t4633 @t5290))) % 6.34/6.56 (assume @p4071 (forall @t2036 (= (tptp.c_Transitive__Closure_Ortrancl @t30 @t5293) @t5175))) % 6.34/6.56 (assume @p4072 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t3108 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t2422)))) % 6.34/6.56 (assume @p4073 (forall @t2036 (= (tptp.hAPP @t5176 @t5290) @t5175))) % 6.34/6.56 (assume @p4074 (forall @t2036 (= (tptp.c_Transitive__Closure_Otrancl @t30 @t5291) @t5175))) % 6.34/6.56 (assume @p4075 (forall @t2036 (= @t5175 (tptp.hAPP (tptp.hAPP @t3359 @t5290) @t5182)))) % 6.34/6.56 (assume @p4076 (forall @t2036 (tptp.c_Relation_Orefl__on @t30 @t4633 @t5291))) % 6.34/6.56 (assume @p4077 (forall @t1809 (= @t5290 (tptp.hAPP @t4953 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t3064) @t4974) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3064 @t3241 @t2371) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3071 (tptp.tc_fun @t3241 @t2371) @t3064) (tptp.c_COMBB @t3064 tptp.tc_HOL_Obool @t30)) tptp.c_fequal)) @t4081)))))) % 6.34/6.56 (assume @p4078 (forall @t2036 (tptp.c_Relation_Oirrefl @t30 @t5293))) % 6.34/6.56 (assume @p4079 (forall @t5099 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 @t5290) @t61)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3072 (tptp.hAPP (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t4104 @t5175) @t61)) @t2033)) @t61)) (tptp.hBOOL (tptp.hAPP @t5185 @t61)))))) % 6.34/6.56 (assume @p4080 (forall (@list @t1473 @t465 @t1235 @t2033 @t127 @t30) (=> (tptp.c_Relation_Osingle__valued @t30 @t127 @t5250) (=> (not (= @t1235 (tptp.c_Orderings_Obot__class_Obot @t2475))) (= @t5261 @t5258))))) % 6.34/6.56 (assume @p4081 (forall (@list @t1545 @t1473 @t1235 @t465 @t2588 @t2 @t127 @t30) (=> @t4224 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3314 @t4) @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t3885) @t2588)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3314 @t1545) @t1235)) (= (tptp.hAPP @t3272 (tptp.hAPP @t5257 @t1473)) (tptp.hAPP @t5259 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 @t2742 @t465) @t3272) @t1473)))))))) % 6.34/6.56 (assume @p4082 (forall @t1809 (tptp.c_Relation_Osingle__valued @t30 @t30 @t5290))) % 6.34/6.56 (assume @p4083 (forall (@list @t61 @t465 @t2033 @t127 @t30) (=> @t5294 (=> (tptp.c_Relation_Osingle__valued @t127 @t465 @t61) (tptp.c_Relation_Osingle__valued @t30 @t465 @t5018))))) % 6.34/6.56 (assume @p4084 (forall @t5089 (=> @t5088 (=> (tptp.c_Relation_Osingle__valued @t30 @t127 @t61) @t5294)))) % 6.34/6.56 (assume @p4085 (forall @t2602 (tptp.c_Relation_Osingle__valued @t30 @t30 @t4082))) % 6.34/6.56 (assume @p4086 (forall @t5077 (= @t5294 (forall @t2509 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t4836) @t2033)) (forall @t1471 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t5295) @t2033)) (= @t412 @t1470)))))))) % 6.34/6.56 (assume @p4087 (forall (@list @t628 @t696 @t378 @t2033 @t127 @t30) (=> @t5294 (=> (tptp.hBOOL (tptp.hAPP @t3048 @t2033)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 (tptp.hAPP @t2434 @t628)) @t2033)) @t811))))) % 6.34/6.56 (assume @p4088 (forall (@list @t628 @t696 @t378 @t2033 @t30) (=> (tptp.c_Relation_Osingle__valued @t30 @t30 @t2033) (=> @t5200 (=> (tptp.hBOOL (tptp.hAPP @t5199 @t5175)) (or (tptp.hBOOL (tptp.hAPP @t3955 @t5175)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 @t628) @t696)) @t5175)))))))) % 6.34/6.56 (assume @p4089 (forall @t3555 (=> (tptp.c_Relation_Osingle__valued @t30 @t127 (tptp.hAPP @t5238 @t2474)) (= @t3554 @t3553)))) % 6.34/6.56 (assume @p4090 (forall @t3474 (= (tptp.c_Relation_Ototal__on @t30 @t1235 @t5293) @t5296))) % 6.34/6.56 (assume @p4091 (forall @t5300 (=> @t5299 (tptp.hBOOL (tptp.hAPP @t5158 @t5298))))) % 6.34/6.56 (assume @p4092 (forall @t4695 (= @t5301 @t5290))) % 6.34/6.56 (assume @p4093 (forall @t5303 (=> (tptp.c_Relation_Osingle__valued @t30 @t30 @t2474) (tptp.c_Relation_Osingle__valued @t30 @t30 @t5302)))) % 6.34/6.56 (assume @p4094 (forall @t5300 (= @t5299 (exists @t53 @t5304)))) % 6.34/6.56 (assume @p4095 (forall (@list @t2474 @t23 @t1615 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5158 @t5302)) @t5299))) % 6.34/6.56 (assume @p4096 (forall @t5305 (=> (tptp.c_Wellfounded_Owf @t30 @t5302) @t5037))) % 6.34/6.56 (assume @p4097 (forall @t4466 (= (tptp.hAPP @t5308 @t5307) (tptp.hAPP (tptp.hAPP @t5306 @t973) @t2)))) % 6.34/6.56 (assume @p4098 (forall (@list @t378 @t23 @t30 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t5309 @t378)) (tptp.hAPP @t5309 @t668)))) % 6.34/6.56 (assume @p4099 (forall (@list @t2 @t23 @t127 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t1206 @t1206) @t23) (tptp.c_Fun_Ocomp @t127 @t127 @t30 @t2)) (tptp.c_Fun_Ocomp @t127 @t127 @t30 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t127 @t127) @t23) @t2))))) % 6.34/6.56 (assume @p4100 (forall (@list @t2474 @t23 @t325 @t30) (= (tptp.hAPP (tptp.hAPP @t5297 @t340) @t2474) (tptp.hAPP (tptp.hAPP @t5025 (tptp.hAPP (tptp.hAPP @t5297 @t325) @t2474)) @t5302)))) % 6.34/6.56 (assume @p4101 (forall @t5305 (= @t5311 @t5310))) % 6.34/6.56 (assume @p4102 (forall @t5303 (= (tptp.hAPP @t5033 @t5302) @t5310))) % 6.34/6.56 (assume @p4103 (forall @t4695 (= (tptp.hAPP (tptp.hAPP @t5297 @t933) @t2474) @t2474))) % 6.34/6.56 (assume @p4104 (forall @t2036 (tptp.c_Relation_Ototal__on @t30 @t2815 @t2033))) % 6.34/6.56 (assume @p4105 (forall @t3474 (= (tptp.c_Relation_Ototal__on @t30 @t1235 @t5205) @t5296))) % 6.34/6.56 (assume @p4106 (forall @t5197 (=> (tptp.hBOOL (tptp.hAPP @t3079 @t5301)) @t894))) % 6.34/6.56 (assume @p4107 (forall @t5117 (tptp.hBOOL (tptp.hAPP @t5203 @t5301)))) % 6.34/6.56 (assume @p4108 (forall (@list @t23 @t628 @t2474 @t696 @t378 @t30) (=> @t3082 (=> (tptp.hBOOL (tptp.hAPP @t3955 @t5302)) @t5312)))) % 6.34/6.56 (assume @p4109 (forall (@list @t628 @t2474 @t23 @t696 @t378 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3079 @t5302)) (=> (tptp.hBOOL (tptp.hAPP @t3955 @t2474)) @t5312)))) % 6.34/6.56 (assume @p4110 (forall (@list @t2 @t23 @t30) (= (tptp.hAPP (tptp.hAPP @t5306 @t109) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t30 @t30 @t2) @t5309)))) % 6.34/6.56 (assume @p4111 (forall @t4455 (= (tptp.hAPP (tptp.hAPP @t5306 @t340) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t30 @t30 @t5307) @t5309)))) % 6.34/6.56 (assume @p4112 (forall @t2975 (= (tptp.hAPP (tptp.hAPP @t5306 @t214) @t2) @t4998))) % 6.34/6.56 (assume @p4113 (forall @t5300 (= (tptp.hBOOL (tptp.hAPP @t5158 @t5170)) (exists @t53 (and @t702 @t5304))))) % 6.34/6.56 (assume @p4114 (forall @t3474 (= @t5296 (forall @t8 (=> @t3020 (forall @t3502 (=> @t4215 (=> @t3500 (or (tptp.hBOOL (tptp.hAPP @t4736 @t2033)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 @t3498) @t4)) @t2033))))))))))) % 6.34/6.56 (assume @p4115 (forall @t4695 (= @t5181 @t5298))) % 6.34/6.56 (assume @p4116 (forall @t1809 (= (tptp.c_Nat_Ofunpow @t30) @t5306))) % 6.34/6.56 (assume @p4117 (forall @t5320 (=> @t5319 (=> @t5318 (not (forall @t5317 (=> @t593 (=> (tptp.hBOOL (tptp.hAPP @t5316 @t5315)) @t5314)))))))) % 6.34/6.56 (assume @p4118 (forall @t5320 (=> @t5319 (=> @t5318 (not (forall @t5317 (=> @t593 (=> @t5321 (not (tptp.hBOOL (tptp.hAPP @t5313 @t5315))))))))))) % 6.34/6.56 (assume @p4119 (forall @t2602 (=> @t3941 (=> @t3403 (= @t5322 (tptp.hAPP (tptp.hAPP @t5129 @t4641) @t1235)))))) % 6.34/6.56 (assume @p4120 (forall (@list @t3622 @t30) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t3729 @t3622)) (tptp.hBOOL (tptp.hAPP @t3391 @t4)))) (tptp.hBOOL (tptp.hAPP @t3391 (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t3622)))))) % 6.34/6.56 (assume @p4121 (forall (@list @t164 @t2588 @t1235 @t30) (=> @t5326 (=> @t5325 @t5324)))) % 6.34/6.56 (assume @p4122 (forall @t2504 (= (tptp.hAPP @t3149 @t5328) (tptp.hAPP (tptp.hAPP @t5327 @t1473) @t3149)))) % 6.34/6.56 (assume @p4123 (forall (@list @t140 @t3028 @t30) (=> @t3957 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t507 (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t3028)) @t140)) (exists @t8 (and @t3822 (tptp.hBOOL (tptp.hAPP @t4825 @t140)))))))) % 6.34/6.56 (assume @p4124 (forall @t3181 (=> @t5332 @t5331))) % 6.34/6.56 (assume @p4125 (forall (@list @t1235 @t64 @t30) (=> @t3941 (= (tptp.hBOOL (tptp.hAPP @t982 @t5322)) @t5333)))) % 6.34/6.56 (assume @p4126 (forall @t3019 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5334) (tptp.hAPP (tptp.hAPP @t3462 @t140) @t5328)))) % 6.34/6.56 (assume @p4127 (forall @t2602 (= @t5329 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 tptp.tc_HOL_Obool @t30) (tptp.c_HOL_OAll @t2371)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2944 @t2944 @t30) (tptp.hAPP @t4946 (tptp.hAPP (tptp.hAPP @t4943 tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2371 @t2944 tptp.tc_HOL_Obool) @t3469) @t1235)))) @t2788)))))) % 6.34/6.56 (assume @p4128 (forall @t1809 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t3473) @t4633))) % 6.34/6.56 (assume @p4129 (forall @t3181 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2945 @t1473) @t1235)) (tptp.hBOOL (tptp.hAPP @t5330 @t5328))))) % 6.34/6.56 (assume @p4130 (forall @t1809 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t4644) @t2815))) % 6.34/6.56 (assume @p4131 (forall @t2826 (=> @t3941 (=> @t2987 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5322) @t378)))))) % 6.34/6.56 (assume @p4132 (forall @t2504 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5335) (tptp.hAPP (tptp.hAPP @t3462 @t5329) @t5328)))) % 6.34/6.56 (assume @p4133 (forall @t359 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t2839) @t140)))) % 6.34/6.56 (assume @p4134 (forall @t1809 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t2815) @t4641)))) % 6.34/6.56 (assume @p4135 (forall @t1809 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t4633) @t2847)))) % 6.34/6.56 (assume @p4136 (forall @t2824 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t2823) (tptp.hAPP @t3613 @t5322))))) % 6.34/6.56 (assume @p4137 (forall @t3966 (= @t5220 @t5338))) % 6.34/6.56 (assume @p4138 (forall @t5339 (= @t5338 @t5220))) % 6.34/6.56 (assume @p4139 (forall @t2504 (= @t3464 (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5340)))) % 6.34/6.56 (assume @p4140 (forall @t4007 (= (tptp.hAPP @t5243 @t5268) (tptp.hAPP (tptp.hAPP @t3462 (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5342)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5341))))) % 6.34/6.56 (assume @p4141 (forall @t2504 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP (tptp.hAPP @t3148 @t5329) @t5328)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2371 @t5343))))) % 6.34/6.56 (assume @p4142 (forall @t745 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t2836) @t5151)))) % 6.34/6.56 (assume @p4143 (forall @t2504 (=> @t3941 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t3486 @t1473) @t5322) (tptp.hAPP (tptp.hAPP @t5129 @t1473) @t1235)))))) % 6.34/6.56 (assume @p4144 (forall @t2602 (=> @t3941 (=> @t3403 (=> @t3022 (= @t3603 @t5322)))))) % 6.34/6.56 (assume @p4145 (forall @t2602 (=> @t3941 (= @t5322 (tptp.c_Complete__Lattice_OSup__class_OSup @t30 (tptp.hAPP @t4876 (tptp.hAPP @t5345 (tptp.hAPP @t5344 @t937)))))))) % 6.34/6.56 (assume @p4146 (forall @t2602 (=> @t3941 (= @t5346 (tptp.c_Complete__Lattice_OInf__class_OInf @t30 (tptp.hAPP @t4876 (tptp.hAPP @t5345 (tptp.hAPP @t5344 @t2671)))))))) % 6.34/6.56 (assume @p4147 (forall (@list @t1235 @t2588 @t164 @t30) (=> @t5325 (=> @t5324 @t5348)))) % 6.34/6.56 (assume @p4148 (forall @t3671 (= @t5350 (tptp.hAPP (tptp.hAPP @t5327 @t3028) @t5349)))) % 6.34/6.56 (assume @p4149 (forall (@list @t3028 @t2 @t30 @t127) (= (tptp.hAPP @t3261 (tptp.c_Complete__Lattice_OSup__class_OSup @t2742 @t3028)) (tptp.hAPP (tptp.hAPP @t5351 @t3028) @t3261)))) % 6.34/6.56 (assume @p4150 (forall (@list @t1473 @t164 @t127 @t30) (= (tptp.hAPP (tptp.hAPP @t4744 (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t164)) @t1473) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2371 @t3040) @t164) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2371 @t2743 @t3040) @t4744) @t1473))))) % 6.34/6.56 (assume @p4151 (forall @t3966 (= @t5356 @t5354))) % 6.34/6.56 (assume @p4152 (forall @t3966 (= @t5354 @t5356))) % 6.34/6.56 (assume @p4153 (forall @t3181 (= (tptp.hAPP (tptp.hAPP @t3462 @t5359) @t1235) (tptp.hAPP @t5358 (tptp.hAPP (tptp.hAPP @t4861 @t3462) @t1235))))) % 6.34/6.56 (assume @p4154 (forall @t2504 (= (tptp.hAPP @t3463 @t5359) (tptp.hAPP @t5358 @t3463)))) % 6.34/6.56 (assume @p4155 (forall @t3292 (= (tptp.hAPP @t4702 @t5355) (tptp.hAPP @t5353 @t4702)))) % 6.34/6.56 (assume @p4156 (forall (@list @t3028 @t30 @t127) (= (tptp.hAPP @t5067 (tptp.c_Complete__Lattice_OSup__class_OSup @t3345 @t3028)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3345 @t2371) @t3028) @t5067)))) % 6.34/6.56 (assume @p4157 (forall (@list @t3028 @t127 @t30) (= (tptp.hAPP @t5085 (tptp.c_Complete__Lattice_OSup__class_OSup @t3040 @t3028)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3040 @t2371) @t3028) @t5085)))) % 6.34/6.56 (assume @p4158 (forall @t3966 (= @t5361 @t5360))) % 6.34/6.56 (assume @p4159 (forall @t3966 (= @t5360 @t5361))) % 6.34/6.56 (assume @p4160 (forall @t1809 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t4644) @t4633))) % 6.34/6.56 (assume @p4161 (forall @t2602 (tptp.hBOOL (tptp.hAPP @t5363 (tptp.hAPP @t4136 @t5362))))) % 6.34/6.56 (assume @p4162 (forall @t2602 (=> @t5365 @t5364))) % 6.34/6.56 (assume @p4163 (forall @t5367 (= (= (tptp.hAPP (tptp.hAPP @t3462 @t5347) @t1235) @t2815) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3729 @t2588)) (= (tptp.hAPP @t5366 @t1235) @t2815)))))) % 6.34/6.56 (assume @p4164 (forall @t1809 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t3473) @t2815))) % 6.34/6.56 (assume @p4165 (forall @t2504 (=> (tptp.hBOOL (tptp.hAPP @t5363 @t1473)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5362) @t5359))))) % 6.34/6.56 (assume @p4166 (forall @t3070 (=> @t3941 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5346) @t64)) @t5368)))) % 6.34/6.56 (assume @p4167 (forall @t3181 (=> @t5332 (tptp.hBOOL (tptp.hAPP @t2500 @t5362))))) % 6.34/6.56 (assume @p4168 (forall @t4695 (= (tptp.hAPP @t3304 (tptp.c_Complete__Lattice_OSup__class_OSup @t3071 @t2474)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 (tptp.hAPP (tptp.c_Set_Oimage @t3071 @t2371 @t3304) @t2474))))) % 6.34/6.56 (assume @p4169 (forall (@list @t3028 @t140 @t30) (=> @t3957 (= (tptp.hBOOL (tptp.hAPP @t508 (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t3028))) (exists @t8 (and @t3822 (tptp.hBOOL (tptp.hAPP @t508 @t4)))))))) % 6.34/6.56 (assume @p4170 (forall @t2602 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t4137) @t1235))) % 6.34/6.56 (assume @p4171 (forall @t3474 (=> @t3389 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t3468) @t1235)))) % 6.34/6.56 (assume @p4172 (forall @t3019 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5334) (tptp.hAPP (tptp.hAPP @t3148 @t140) @t5359)))) % 6.34/6.56 (assume @p4173 (forall @t2504 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5335) (tptp.hAPP (tptp.hAPP @t3148 @t5362) @t5359)))) % 6.34/6.56 (assume @p4174 (forall @t5339 (= @t5369 @t3924))) % 6.34/6.56 (assume @p4175 (forall @t3966 (= @t3924 @t5369))) % 6.34/6.56 (assume @p4176 (forall @t2826 (=> @t3941 (=> @t2987 (tptp.hBOOL (tptp.hAPP @t1212 @t5346)))))) % 6.34/6.56 (assume @p4177 (forall @t1809 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t2815) @t2847)))) % 6.34/6.56 (assume @p4178 (forall @t359 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t2839) @t140)))) % 6.34/6.56 (assume @p4179 (forall @t2824 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t2823) (tptp.hAPP @t3610 @t5346))))) % 6.34/6.56 (assume @p4180 (forall @t1809 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t4633) @t4641)))) % 6.34/6.56 (assume @p4181 (forall @t2504 (= @t3150 (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5340)))) % 6.34/6.56 (assume @p4182 (forall @t4007 (= (tptp.hAPP @t3997 @t3987) (tptp.hAPP (tptp.hAPP @t3148 (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5342)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5341))))) % 6.34/6.56 (assume @p4183 (forall @t2504 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t5343)) (tptp.hAPP (tptp.hAPP @t3462 @t5362) @t5359))))) % 6.34/6.56 (assume @p4184 (forall @t745 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t2836) @t5149)))) % 6.34/6.56 (assume @p4185 (forall @t2504 (=> @t3941 (=> @t3403 (= (tptp.hAPP (tptp.hAPP @t3155 @t1473) @t5346) (tptp.hAPP (tptp.hAPP @t5125 @t1473) @t1235)))))) % 6.34/6.56 (assume @p4186 (forall @t2602 (=> @t3941 (=> @t3403 (=> @t3022 (= @t3605 @t5346)))))) % 6.34/6.56 (assume @p4187 (forall @t2602 (=> @t3941 (=> @t3403 (= @t5346 (tptp.hAPP (tptp.hAPP @t5125 @t2847) @t1235)))))) % 6.34/6.56 (assume @p4188 (forall (@list @t2 @t127 @t30 @t3028) (=> (not (= @t3028 @t3473)) (=> (forall @t5113 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t4152) @t3028)) (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t4152))) (tptp.c_Fun_Oinj__on @t30 @t127 @t2 @t5350))))) % 6.34/6.56 (assume @p4189 (forall @t2504 (=> (forall @t5372 (=> (tptp.hBOOL (tptp.hAPP @t5371 @t1235)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5370) @t1473)))) (=> (not (= @t1235 @t3473)) @t5331)))) % 6.34/6.56 (assume @p4190 (forall @t3671 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t3028) (tptp.hAPP (tptp.hAPP @t5357 @t3028) @t5349)))) % 6.34/6.56 (assume @p4191 (forall @t2602 (=> @t5364 (=> (forall (@list @t5373) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t5373) @t1235)) (tptp.hBOOL (tptp.hAPP @t3391 @t5373)))) @t5365)))) % 6.34/6.56 (assume @p4192 (forall (@list @t3404 @t378 @t30) (=> (not (tptp.hBOOL (tptp.hAPP @t4147 @t3404))) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3729 @t5374)) (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t3498) @t5374)) (=> @t3500 (= (tptp.hAPP @t5366 @t3498) @t2815)))))) (= (tptp.hAPP (tptp.hAPP @t3462 @t378) (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 @t3404)) @t2815))))) % 6.34/6.56 (assume @p4193 (forall (@list @t327 @t2588 @t30) (=> (tptp.hBOOL (tptp.hAPP @t4142 @t2588)) (=> (tptp.hBOOL (tptp.hAPP @t3391 @t5347)) (=> (forall (@list @t5377) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t5377) @t2588)) (= (tptp.hAPP @t3695 @t5377) @t327))) (=> (forall (@list @t5376) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t5376) @t2588)) (forall (@list @t5375) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3469 @t5375) @t2588)) (=> (not (= @t5376 @t5375)) (= (tptp.hAPP (tptp.hAPP @t3462 @t5376) @t5375) @t2815)))))) (= (tptp.hAPP @t969 (tptp.hAPP @t4138 @t2588)) (tptp.hAPP @t3695 @t5347)))))))) % 6.34/6.56 (assume @p4194 (forall (@list @t1235 @t2 @t465 @t127 @t30 @t3971) (=> (not (= @t3971 @t2815)) (=> (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t4492 @t3971)) (tptp.c_Fun_Oinj__on @t127 @t465 @t2 (tptp.hAPP @t1235 @t1238)))) (tptp.c_Fun_Oinj__on @t127 @t465 @t2 @t5226))))) % 6.34/6.56 (assume @p4195 (forall (@list @t1684 @t1235 @t378 @t628 @t2 @t127 @t30) (=> @t5172 (=> (tptp.hBOOL (tptp.hAPP @t4629 @t1684)) (=> @t2988 (not (forall @t415 (=> (= @t1684 (tptp.hAPP @t668 @t412)) (not (tptp.hBOOL (tptp.hAPP @t4625 @t412))))))))))) % 6.34/6.56 (assume @p4196 (forall @t2036 (=> @t5137 @t5098))) % 6.34/6.56 (assume @p4197 (forall @t5382 (=> @t5381 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3062 @t64)) @t5378)) (forall @t415 (=> (tptp.hBOOL (tptp.hAPP @t5380 @t21)) @t4667)))) @t5379)))) % 6.34/6.56 (assume @p4198 (forall @t5382 (=> @t5381 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3104 @t4)) @t5378)) (forall @t415 (=> (tptp.hBOOL (tptp.hAPP @t4067 @t21)) @t4618)))) @t5379)))) % 6.34/6.56 (assume @p4199 (forall @t5320 (=> @t5312 (not (forall @t415 (=> (tptp.hBOOL (tptp.hAPP @t5316 @t5302)) @t5314)))))) % 6.34/6.56 (assume @p4200 (forall @t5320 (=> @t5312 (not (forall @t415 (=> @t5321 (not @t5383))))))) % 6.34/6.56 (assume @p4201 (forall @t5320 (=> @t5312 (exists @t415 (and @t5321 @t5383))))) % 6.34/6.56 (assume @p4202 (forall @t5197 (=> @t5195 (exists @t1471 (and (tptp.hBOOL (tptp.hAPP @t5385 @t2474)) (tptp.hBOOL (tptp.hAPP @t5384 @t5181))))))) % 6.34/6.56 (assume @p4203 (forall @t5197 (=> @t5195 (exists @t1471 (and (tptp.hBOOL (tptp.hAPP @t5385 @t5181)) (tptp.hBOOL (tptp.hAPP @t5384 @t2474))))))) % 6.34/6.56 (assume @p4204 (forall @t5386 (=> @t1228 (=> @t3403 (=> @t5368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP (tptp.hAPP @t5120 @t25) @t1235)) (tptp.hAPP (tptp.hAPP @t2644 @t64) @t25)))))))) % 6.34/6.56 (assume @p4205 (forall @t5386 (=> @t1228 (=> @t3403 (=> @t5333 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t3844 @t25)) (tptp.hAPP (tptp.hAPP @t5132 @t25) @t1235)))))))) % 6.34/6.56 (assume @p4206 (forall @t5367 (=> (forall @t5372 (=> @t5388 @t5387)) @t5326))) % 6.34/6.56 (assume @p4207 (forall @t5386 (=> @t3487 (=> @t3403 (=> @t5333 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP (tptp.hAPP @t3486 @t64) @t25)) (tptp.hAPP (tptp.hAPP @t5129 @t25) @t1235)))))))) % 6.34/6.56 (assume @p4208 (forall @t5386 (=> @t3172 (=> @t3403 (=> @t5368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP (tptp.hAPP @t5125 @t25) @t1235)) (tptp.hAPP (tptp.hAPP @t3155 @t64) @t25)))))))) % 6.34/6.56 (assume @p4209 (forall (@list @t1615 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5158 @t5290)) (not (forall @t8 (not (= @t1615 @t3063))))))) % 6.34/6.56 (assume @p4210 (forall @t2036 (= @t5038 (forall (@list @t5389) (=> (exists @t8 @t5390) (exists @t8 (and @t5390 (forall @t415 (=> (tptp.hBOOL (tptp.hAPP @t5380 @t2033)) (not (tptp.hBOOL (tptp.hAPP @t4071 @t5389)))))))))))) % 6.34/6.56 (assume @p4211 (forall @t3559 (=> @t5391 (=> @t3444 (=> @t3418 @t3568))))) % 6.34/6.56 (assume @p4212 (forall (@list @t2985 @t27) (=> (forall @t8 (=> @t1060 (= @t1059 (tptp.hBOOL (tptp.hAPP @t2985 @t4))))) (= @t4942 (tptp.hAPP @t4941 (tptp.hAPP @t2469 @t2985)))))) % 6.34/6.56 (assume @p4213 (forall (@list @t378 @t3404 @t1 @t628 @t2 @t127 @t30) (=> @t5391 @t4519))) % 6.34/6.56 (assume @p4214 (forall @t3446 (=> @t5391 (=> @t3444 (=> @t3265 (= @t3448 @t3435)))))) % 6.34/6.56 (assume @p4215 (forall @t3446 (=> @t5391 (=> @t3444 @t3451)))) % 6.34/6.56 (assume @p4216 (forall @t3559 (=> @t5391 (=> @t3444 (=> (tptp.hBOOL (tptp.hAPP @t3419 @t1235)) @t4520))))) % 6.34/6.56 (assume @p4217 (forall (@list @t21 @t27 @t1473 @t1235 @t30) (=> @t2503 (=> (forall @t8 (=> @t3020 (=> @t1059 (tptp.hBOOL @t4516)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t4915) (tptp.hAPP @t3514 @t4884))))))) % 6.34/6.56 (assume @p4218 (forall @t4692 (=> @t5348 (not (forall @t5372 (=> @t5387 (not @t5388))))))) % 6.34/6.56 (assume @p4219 (forall (@list @t5392 @t5395 @t5394 @t127 @t325 @t30) (=> (not (tptp.hBOOL (tptp.hAPP @t5396 (tptp.c_Map_Odom @t30 @t127 @t5394)))) (= (tptp.c_Map_Omap__add @t30 @t127 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t5395) @t325) @t5393) @t5394) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 (tptp.c_Map_Omap__add @t30 @t127 @t5395 @t5394)) @t325) @t5393))))) % 6.34/6.56 (assume @p4220 (forall (@list @t61 @t2033 @t465 @t5397 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t5397) @t5016)) (not (forall (@list @t4 @t412 @t1470) (=> (= @t5397 @t5295) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5011 (tptp.hAPP (tptp.hAPP @t2435 @t4) @t412)) @t2033)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5007 (tptp.hAPP (tptp.hAPP @t2658 @t412) @t1470)) @t61)))))))))) % 6.34/6.56 (assume @p4221 (forall (@list @t696 @t378 @t1 @t2 @t127 @t30) (= (tptp.c_Map_Omap__add @t30 @t127 @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t1) @t378) @t4356)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 (tptp.c_Map_Omap__add @t30 @t127 @t2 @t1)) @t378) @t4356)))) % 6.34/6.56 (assume @p4222 (forall @t5404 (=> @t5403 @t5401))) % 6.34/6.56 (assume @p4223 (forall @t5404 (= @t5403 @t5401))) % 6.34/6.56 (assume @p4224 (forall (@list @t378 @t5405 @t5406 @t30 @t127) (= (tptp.hAPP (tptp.c_Map_Omap__add @t127 @t30 @t5406 @t5405) @t378) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2717 @t30 (tptp.hAPP @t5406 @t378) @t431) (tptp.hAPP @t5405 @t378))))) % 6.34/6.56 (assume @p4225 (forall @t4919 (= (tptp.c_Map_Omap__add @t30 @t127 @t325 @t4352) @t325))) % 6.34/6.56 (assume @p4226 (forall @t4919 (= (tptp.c_Map_Omap__add @t30 @t127 @t4352 @t325) @t325))) % 6.34/6.56 (assume @p4227 (forall (@list @t327 @t23 @t325 @t30 @t127) (= (= @t5402 @t433) (and @t5400 (= @t5398 @t433))))) % 6.34/6.56 (assume @p4228 (forall (@list @t325 @t127 @t5407 @t30 @t327 @t23) (=> (= @t5399 @t5408) (= @t5402 @t5408)))) % 6.34/6.56 (assume @p4229 (forall (@list @t5409 @t5405 @t5406 @t127 @t30) (= (tptp.c_Map_Omap__add @t30 @t127 @t5406 (tptp.c_Map_Omap__add @t30 @t127 @t5405 @t5409)) (tptp.c_Map_Omap__add @t30 @t127 @t5410 @t5409)))) % 6.34/6.56 (assume @p4230 (forall @t5416 (=> @t5415 @t5414))) % 6.34/6.56 (assume @p4231 (forall @t5416 (=> (not @t5415) (= @t5413 (tptp.hAPP @t5412 @t325))))) % 6.34/6.56 (assume @p4232 (forall (@list @t5411 @t5412 @t127 @t325 @t30) (=> (not (tptp.hBOOL (tptp.hAPP @t5396 (tptp.c_Map_Odom @t30 @t127 @t5412)))) @t5414))) % 6.34/6.56 (assume @p4233 (forall (@list @t23 @t325 @t127 @t30) (= (tptp.c_Map_Odom @t30 @t127 (tptp.c_Map_Omap__add @t30 @t127 @t325 @t23)) (tptp.hAPP (tptp.hAPP @t3148 (tptp.c_Map_Odom @t30 @t127 @t23)) @t4566)))) % 6.34/6.56 (assume @p4234 (forall (@list @t5417 @t325 @t127 @t30) (= (tptp.c_Fun_Oinj__on @t30 @t4351 (tptp.c_Map_Omap__add @t30 @t127 @t325 @t5417) @t5418) (tptp.c_Fun_Oinj__on @t30 @t4351 @t5417 @t5418)))) % 6.34/6.56 (assume @p4235 (forall (@list @t5405 @t5406 @t127 @t30) (=> (= (tptp.hAPP (tptp.hAPP @t3462 (tptp.c_Map_Odom @t30 @t127 @t5406)) (tptp.c_Map_Odom @t30 @t127 @t5405)) @t2815) (= @t5410 (tptp.c_Map_Omap__add @t30 @t127 @t5405 @t5406))))) % 6.34/6.56 (assume @p4236 (forall (@list @t1539 @t2 @t127 @t30) (=> @t4673 (tptp.hBOOL (tptp.hAPP @t4651 (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2717 (tptp.c_Map_Omap__add @t127 @t30 @t2 (tptp.c_Map_Omap__of @t127 @t30 @t1539))) @t4636)))))) % 6.34/6.56 (assume @p4237 (forall (@list @t2033 @t5419 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 @t5419) @t5250)) (not (forall @t2509 (=> (= @t5419 (tptp.hAPP (tptp.hAPP @t2411 @t412) @t4)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 (tptp.hAPP @t3348 @t412)) @t2033))))))))) % 6.34/6.56 (assume @p4238 (forall (@list @t1539 @t127 @t30) (tptp.hBOOL (tptp.hAPP @t3391 (tptp.c_Map_Odom @t30 @t127 @t5420))))) % 6.34/6.56 (assume @p4239 (forall @t5423 (tptp.hBOOL (tptp.hAPP @t4651 (tptp.hAPP (tptp.c_Set_Oimage @t127 @t2717 @t5422) @t4636))))) % 6.34/6.56 (assume @p4240 (forall (@list @t5424 @t325 @t127 @t30) (= (tptp.c_Map_Omap__add @t30 @t127 @t325 @t5431) (tptp.c_List_Ofoldr @t2450 @t5425 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t5427) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5430 @t5429) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5428 (tptp.tc_fun @t5430 @t5429) @t30) (tptp.c_COMBB @t4351 @t5427 @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5425 @t5426) @t5428 @t30) (tptp.c_COMBC @t5425 @t4351 @t5425)) (tptp.hAPP (tptp.c_COMBC @t5425 @t30 @t5426) @t4354)))) @t449)) @t5424 @t325)))) % 6.34/6.56 (assume @p4241 (forall @t875 (= (tptp.c_Smallcheck_Oorelse @t30 @t378 @t696) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2717 @t30 @t696 @t431) @t378)))) % 6.34/6.56 (assume @p4242 (forall @t5434 (= (tptp.c_Smallcheck_Ofull__small__class_Ofull__small tptp.tc_Int_Oint @t2 @t819) (tptp.c_Smallcheck_Ofull__small_H @t2 @t5432 @t5433)))) % 6.34/6.56 (assume @p4243 (forall (@list @t2 @t178 @t819) @t5440)) % 6.34/6.56 (assume @p4244 (forall (@list @t178 @t819 @t2) (=> (tptp.hBOOL (tptp.hAPP @t5443 (tptp.hAPP (tptp.hAPP @t5442 @t2) (tptp.hAPP (tptp.hAPP @t2193 @t819) @t178)))) @t5440))) % 6.34/6.56 (assume @p4245 (forall @t5434 (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall tptp.tc_Int_Oint) @t2) @t819) (tptp.c_Smallcheck_Osmall_H @t2 @t5432 @t5433)))) % 6.34/6.56 (assume @p4246 (forall (@list @t819 @t2 @t30 @t127) (=> (and (tptp.class_Smallcheck_Osmall @t127) (tptp.class_Smallcheck_Osmall @t30)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t2450) @t2) @t819) (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 tptp.tc_Code__Numeral_Ocode__numeral @t5436) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5444 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5436) @t30) (tptp.c_Smallcheck_Osmall__class_Osmall @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 @t5444 @t30) (tptp.hAPP (tptp.c_COMBB @t2450 @t5436 @t127) @t2)) @t2411))) @t819)) @t819))))) % 6.34/6.56 (assume @p4247 (forall (@list @t27 @t83 @t84 @t2397) (=> (tptp.hBOOL (tptp.hAPP @t5443 (tptp.hAPP (tptp.hAPP @t5442 @t2397) (tptp.hAPP (tptp.hAPP @t2193 @t84) @t83)))) (=> (forall (@list @t4202 @t1575 @t1238) (=> (tptp.hBOOL (tptp.hAPP @t5443 (tptp.hAPP (tptp.hAPP @t5442 @t4202) (tptp.hAPP (tptp.hAPP @t2193 @t1575) @t1238)))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t1575) @t1238))) (=> (= @t5051 @t5439) (tptp.hBOOL (tptp.hAPP @t5445 @t5446)))) (tptp.hBOOL (tptp.hAPP @t5445 @t1238))))) (tptp.hBOOL (tptp.hAPP @t2398 @t83)))))) % 6.34/6.56 (assume @p4248 (= tptp.c_Com_Obody (tptp.c_Map_Omap__of tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obodies))) % 6.34/6.56 (assume @p4249 (forall (@list @t378 @t327 @t69 @t465 @t2 @t127 @t30) (=> @t4639 (=> (= (tptp.hAPP (tptp.c_Map_Omap__of @t30 @t465 @t69) @t327) @t5448) (= (tptp.hAPP (tptp.c_Map_Omap__of @t127 @t465 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4838 @t2455) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t465 @t2455) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t4682 @t30) @t2444) @t2))) @t69)) (tptp.hAPP @t2 @t327)) @t5448))))) % 6.34/6.56 (assume @p4250 (forall (@list @t327 @t1 @t2 @t465 @t30 @t127) (= (tptp.c_Map_Omap__comp @t127 @t30 @t465 @t2 @t1 @t327) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2717 @t127 @t433 @t2) (tptp.hAPP @t1 @t327))))) % 6.34/6.56 (assume @p4251 (forall @t3793 (=> @t4639 @t5454))) % 6.34/6.56 (assume @p4252 (forall (@list @t1684 @t327 @t5405 @t5406 @t465 @t30 @t127) (= (= @t5461 @t5455) (exists @t5460 (and @t5459 (= @t5457 @t5455)))))) % 6.34/6.56 (assume @p4253 (forall (@list @t5406 @t127 @t465 @t5462 @t30 @t327 @t5405) (=> (= @t5458 (tptp.hAPP @t431 @t5462)) (= @t5463 (tptp.hAPP @t5406 @t5462))))) % 6.34/6.56 (assume @p4254 (forall (@list @t5406 @t127 @t465 @t30 @t327 @t5405) (=> (= @t5458 @t433) (= @t5463 (tptp.c_Option_Ooption_ONone @t465))))) % 6.34/6.56 (assume @p4255 (forall (@list @t5464 @t1 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t5470 (tptp.hAPP @t5468 @t5464)) (tptp.hAPP @t5466 @t5464)))) % 6.34/6.56 (assume @p4256 (forall (@list @t5471 @t1 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t5470 (tptp.hAPP @t5468 @t5471)) (tptp.hAPP @t5466 @t5471)))) % 6.34/6.56 (assume @p4257 (forall @t5474 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5473 @t5453 @t5059 @t5472) (tptp.hAPP (tptp.c_List_Omap @t30 @t465) @t1)) (tptp.hAPP @t5451 @t4563)))) % 6.34/6.56 (assume @p4258 (forall @t5480 (=> @t5479 (=> (tptp.c_Fun_Oinj__on @t127 @t30 @t2 @t4636) @t5476)))) % 6.34/6.56 (assume @p4259 (forall @t3793 (=> @t5454 @t4639))) % 6.34/6.56 (assume @p4260 (forall @t5484 (=> @t4639 @t5483))) % 6.34/6.56 (assume @p4261 (forall @t3793 (= @t5454 @t4639))) % 6.34/6.56 (assume @p4262 (forall @t5487 (= (tptp.hAPP @t5486 @t5464) @t5464))) % 6.34/6.56 (assume @p4263 (forall @t1809 (= @t5486 @t5488))) % 6.34/6.56 (assume @p4264 (forall @t1809 (= (tptp.hAPP @t5485 @t4998) @t5488))) % 6.34/6.56 (assume @p4265 (forall (@list @t140 @t5464 @t2 @t465 @t1 @t30 @t127) (= (tptp.c_List_Ofoldr @t127 @t30 @t1 @t5489 @t140) (tptp.c_List_Ofoldr @t465 @t30 (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t2265 @t465 @t1) @t2) @t5464 @t140)))) % 6.34/6.56 (assume @p4266 (forall @t5491 (= (tptp.c_Map_Omap__comp @t127 @t30 @t465 @t325 @t5490 @t378) @t433))) % 6.34/6.56 (assume @p4267 (forall @t5491 (= (tptp.c_Map_Omap__comp @t127 @t30 @t465 @t4379 @t325 @t378) @t433))) % 6.34/6.56 (assume @p4268 (forall (@list @t327 @t5405 @t5406 @t465 @t30 @t127) (= (= @t5461 @t433) (or (= @t5458 @t453) (exists @t5460 (and @t5459 (= @t5457 @t433))))))) % 6.34/6.56 (assume @p4269 (forall (@list @t5464 @t2 @t465 @t127 @t30) (= (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP @t5497 @t5464)) (tptp.hAPP @t5495 (tptp.c_Map_Omap__of @t30 @t465 @t5464))))) % 6.34/6.56 (assume @p4270 (forall (@list @t325 @t127 @t5464 @t30) (=> (= @t5501 @t4566) (= (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP (tptp.hAPP @t5499 (tptp.hAPP @t5498 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4351 @t127 @t30) (tptp.c_Option_Othe @t127)) @t325))) @t5464)) @t325)))) % 6.34/6.56 (assume @p4271 (forall @t5487 (tptp.hBOOL (tptp.hAPP @t3391 @t5501)))) % 6.34/6.56 (assume @p4272 (forall @t5505 (= (tptp.hAPP @t5500 @t5478) @t5504))) % 6.34/6.56 (assume @p4273 (forall (@list @t1 @t5464 @t2 @t30 @t127) (= (= @t5478 @t5506) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3283 @t5503)) @t7))))) % 6.34/6.56 (assume @p4274 (forall @t1809 (= (tptp.hAPP @t5508 @t2221) @t5507))) % 6.34/6.56 (assume @p4275 (forall @t1809 (= (tptp.hAPP @t5508 @t4998) @t5507))) % 6.34/6.56 (assume @p4276 (forall (@list @t325 @t2 @t465 @t127 @t30) (= (tptp.c_Map_Odom @t30 @t127 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t30 @t5494 @t4351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4666 (tptp.tc_fun @t5494 @t4351) @t30) @t5492) @t2)) @t325)) (tptp.c_Map_Odom @t30 @t465 @t325)))) % 6.34/6.56 (assume @p4277 (forall @t1809 (not (tptp.hBOOL (tptp.hAPP @t5509 @t5450))))) % 6.34/6.56 (assume @p4278 (forall @t5474 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5494 @t4351 @t2717 @t5493) (tptp.hAPP (tptp.c_Option_Omap @t30 @t465) @t1)) (tptp.hAPP @t5510 @t4563)))) % 6.34/6.56 (assume @p4279 (forall (@list @t5511 @t1 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t5514 (tptp.hAPP @t5513 @t5511)) (tptp.hAPP @t5512 @t5511)))) % 6.34/6.56 (assume @p4280 (forall (@list @t5515 @t1 @t465 @t2 @t30 @t127) (= (tptp.hAPP @t5514 (tptp.hAPP @t5513 @t5515)) (tptp.hAPP @t5512 @t5515)))) % 6.34/6.56 (assume @p4281 (forall (@list @t218 @t1 @t2 @t127 @t30 @t465 @t2456) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5517 @t5494 @t2684 @t5516) (tptp.c_Sum__Type_Osum_Osum__case @t30 @t5517 @t127 @t1 @t218)) (tptp.c_Sum__Type_Osum_Osum__case @t30 @t5494 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t5517 @t5494 @t30 @t5516) @t1) (tptp.hAPP (tptp.c_Fun_Ocomp @t5517 @t5494 @t127 @t5516) @t218))))) % 6.34/6.56 (assume @p4282 (forall @t669 (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t4351 @t2717 @t465 @t5514) @t5490) @t378) @t433))) % 6.34/6.56 (assume @p4283 (forall @t5518 (= (tptp.hAPP @t5514 @t4353) (tptp.hAPP @t431 @t668)))) % 6.34/6.56 (assume @p4284 (forall (@list @t696 @t2981 @t2 @t30 @t127) (= (= (tptp.hAPP @t5514 @t2981) @t4370) (exists @t1471 (and (= @t2981 (tptp.hAPP @t449 @t1470)) (= (tptp.hAPP @t2 @t1470) @t696)))))) % 6.34/6.56 (assume @p4285 (forall @t3293 (= (tptp.hAPP @t5514 @t453) @t433))) % 6.34/6.56 (assume @p4286 (forall (@list @t5515 @t2 @t30 @t127) (= (= (tptp.hAPP @t5514 @t5515) @t433) (= @t5515 @t453)))) % 6.34/6.56 (assume @p4287 (forall (@list @t64 @t140 @t325 @t2 @t30 @t127 @t465) (= (tptp.hAPP @t5495 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t30 @t5494) @t325) @t140) (tptp.hAPP @t5447 @t64))) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 (tptp.hAPP @t5495 @t325)) @t140) (tptp.hAPP @t449 (tptp.hAPP @t2 @t64)))))) % 6.34/6.56 (assume @p4288 (forall @t5484 (=> @t5521 @t5483))) % 6.34/6.56 (assume @p4289 (forall @t5480 (=> @t5479 (=> (tptp.c_Fun_Oinj__on @t127 @t30 @t2 (tptp.hAPP (tptp.hAPP @t3268 @t5503) @t5522)) @t5476)))) % 6.34/6.56 (assume @p4290 (forall (@list @t1684 @t2 @t127 @t5464 @t696 @t30) (=> (not @t5523) (= (tptp.hAPP (tptp.hAPP @t5451 (tptp.hAPP (tptp.hAPP @t4310 @t696) @t1684)) @t5464) @t5482)))) % 6.34/6.56 (assume @p4291 (forall @t3292 (=> (tptp.c_Fun_Oinj__on @t30 @t127 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t2371 (tptp.hAPP (tptp.c_Set_Oimage @t5059 @t2371 @t5500) @t1235))) (tptp.c_Fun_Oinj__on @t5059 @t5453 @t5452 @t1235)))) % 6.34/6.56 (assume @p4292 (forall @t5530 (=> @t5529 (= (tptp.hAPP @t5092 @t5526) (tptp.hAPP @t5092 @t5525))))) % 6.34/6.56 (assume @p4293 (forall (@list @t696 @t327 @t5464 @t30 @t127) (=> (= @t5532 @t4370) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t2607 @t327) @t696)) (tptp.hAPP @t5531 @t5464)))))) % 6.34/6.56 (assume @p4294 (forall (@list @t696 @t378 @t5421 @t30 @t127) (=> (= @t5534 @t4370) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3349 @t2609) @t5533))))) % 6.34/6.56 (assume @p4295 (forall @t5423 (= (tptp.c_Map_Odom @t30 @t127 @t5536) (tptp.hAPP @t5092 @t5535)))) % 6.34/6.56 (assume @p4296 (forall (@list @t378 @t5421 @t30 @t127) (= (= @t5534 @t433) (not (tptp.hBOOL (tptp.hAPP @t3264 (tptp.hAPP @t4799 @t5533))))))) % 6.34/6.56 (assume @p4297 (forall @t3793 (= (tptp.hAPP @t5510 @t2) (tptp.c_Option_Ooption_Ooption__case @t4351 @t30 @t453 @t4665)))) % 6.34/6.56 (assume @p4298 (= tptp.c_Com_OWT__bodies (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t5537) @t4) (tptp.hAPP (tptp.c_List_Oset @t5537) tptp.c_Com_Obodies))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun tptp.tc_Com_Ocom tptp.tc_HOL_Obool) tptp.tc_Com_Opname) tptp.c_Com_OWT)) @t4)))))) % 6.34/6.56 (assume @p4299 (forall (@list @t5538 @t2 @t127 @t30) (= (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP (tptp.hAPP @t5499 (tptp.hAPP @t5498 @t2)) @t5538)) (tptp.c_Map_Orestrict__map @t30 @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t127 @t4351 @t30 @t449) @t2) (tptp.hAPP @t5500 @t5538))))) % 6.34/6.56 (assume @p4300 (forall (@list @t5539 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5541 (tptp.hAPP @t5540 @t5539))) (= (tptp.c_Map_Oran @t30 @t127 (tptp.c_Map_Omap__of @t30 @t127 @t5539)) (tptp.hAPP @t4801 (tptp.hAPP @t5524 @t5539)))))) % 6.34/6.56 (assume @p4301 (forall @t5543 (=> @t5542 (= @t5526 (tptp.hAPP @t4896 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5430 @t2742) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4917 (tptp.tc_fun @t5430 @t2742) @t30) (tptp.c_COMBB @t4351 tptp.tc_HOL_Obool @t127)) (tptp.hAPP @t4918 @t5528))) @t449))))))) % 6.34/6.56 (assume @p4302 (forall @t5505 (= (tptp.hBOOL (tptp.hAPP @t5541 @t5478)) (and @t5545 (tptp.c_Fun_Oinj__on @t127 @t30 @t2 @t5503))))) % 6.34/6.56 (assume @p4303 (forall @t5530 (=> @t5542 (=> (tptp.hBOOL (tptp.hAPP @t5541 (tptp.hAPP @t5540 @t5475))) (= @t5529 (= @t5526 @t5525)))))) % 6.34/6.56 (assume @p4304 (forall @t5550 (=> @t5549 (=> @t5548 @t5547)))) % 6.34/6.56 (assume @p4305 (forall @t5550 (=> @t5549 (= @t5547 @t5548)))) % 6.34/6.56 (assume @p4306 (forall (@list @t378 @t696 @t5421 @t127 @t30) (=> @t5549 (= (= @t4356 @t5546) @t5548)))) % 6.34/6.56 (assume @p4307 (forall @t4171 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t178 @t1545) (tptp.hAPP @t5552 (tptp.c_List_Oupto @t4198 @t5551))))) % 6.34/6.56 (assume @p4308 (forall (@list @t1539 @t378 @t327 @t127 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3039 (tptp.hAPP (tptp.hAPP @t2411 @t327) @t378)) (tptp.hAPP @t5524 @t1539))) (exists @t8 (= (tptp.hAPP @t5420 @t327) (tptp.hAPP @t449 @t4)))))) % 6.34/6.56 (assume @p4309 (forall @t4171 (= @t4199 @t5554))) % 6.34/6.56 (assume @p4310 (forall @t4171 (= @t5554 @t4199))) % 6.34/6.56 (assume @p4311 (forall @t572 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5555)))) % 6.34/6.56 (assume @p4312 (forall @t4171 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t178) @t1545) (tptp.hAPP @t5552 (tptp.c_List_Oupto @t178 @t5551))))) % 6.34/6.56 (assume @p4313 (forall @t4171 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t178 @t1545) (tptp.hAPP @t5552 @t5556)))) % 6.34/6.56 (assume @p4314 (forall @t1927 (= (tptp.c_List_Onat__list @t1539) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5552 @t1539))))) % 6.34/6.56 (assume @p4315 (forall @t5561 (=> @t5560 (= @t5559 (tptp.hAPP @t5557 @t2819))))) % 6.34/6.56 (assume @p4316 (forall (@list @t5464 @t30 @t64 @t140) (=> @t823 (= (tptp.hBOOL (tptp.hAPP @t3002 (tptp.hAPP @t5500 (tptp.c_List_Oremove1 @t30 @t64 @t5464)))) @t5562)))) % 6.34/6.56 (assume @p4317 (forall (@list @t696 @t5464 @t378 @t30) (=> @t5564 (not (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5500 (tptp.c_List_Oremove1 @t30 @t696 @t5464)))))))) % 6.34/6.56 (assume @p4318 (forall @t5565 (=> @t5564 (= @t5558 @t5464)))) % 6.34/6.56 (assume @p4319 (forall @t5565 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5559) @t5501)))) % 6.34/6.56 (assume @p4320 (forall @t5567 (= (tptp.c_List_Oremove1 @t35 @t136 (tptp.c_List_Oremove1 @t35 @t135 @t5566)) (tptp.c_List_Oremove1 @t35 @t135 (tptp.c_List_Oremove1 @t35 @t136 @t5566))))) % 6.34/6.56 (assume @p4321 (forall @t5572 (=> @t5571 (tptp.hBOOL (tptp.hAPP @t5570 @t5569))))) % 6.34/6.56 (assume @p4322 (forall @t2821 (=> @t1228 (=> @t3403 (= @t5574 (tptp.c_List_Oremove1 @t30 @t378 @t5573)))))) % 6.34/6.56 (assume @p4323 (forall (@list @t2 @t127 @t5464 @t378 @t30) (and (=> @t5563 (= @t5577 (tptp.hAPP @t449 @t668))) (=> @t5564 (= @t5577 @t453))))) % 6.34/6.56 (assume @p4324 (forall (@list @t5568 @t30 @t5578 @t35) (=> (tptp.hBOOL (tptp.hAPP @t5570 @t5578)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5579) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t30 @t35) @t5568) @t5578)))))) % 6.34/6.56 (assume @p4325 (forall @t5584 (=> @t5571 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5583) @t5582))))) % 6.34/6.56 (assume @p4326 (forall @t5487 (= @t5586 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t30 @t3064) @t4081) @t5464)))) % 6.34/6.56 (assume @p4327 (forall (@list @t5587 @t127 @t30) (= (tptp.hAPP (tptp.hAPP @t5575 @t5590) @t5589) @t5587))) % 6.34/6.56 (assume @p4328 (forall (@list @t5475 @t1 @t2456 @t5464 @t2 @t30 @t465 @t127) (= (tptp.hAPP @t5594 (tptp.hAPP (tptp.hAPP @t5593 @t5464) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2456 @t465) @t1) @t5475))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4840 @t30) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t127 @t2456 @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5591 (tptp.tc_fun @t2456 @t30) @t127) (tptp.hAPP (tptp.c_COMBB @t2455 @t30 @t2456) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t5592 @t5591) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4682 (tptp.tc_fun @t5592 @t5591) @t127) (tptp.c_COMBB @t465 @t2455 @t2456)) @t2444)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t127 @t2456) @t5464) @t5475))))) % 6.34/6.56 (assume @p4329 (forall (@list @t5475 @t5464 @t1 @t2456 @t2 @t30 @t465 @t127) (= (tptp.hAPP @t5594 (tptp.hAPP (tptp.hAPP @t5593 (tptp.hAPP @t5595 @t5464)) @t5475)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4850 @t30) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2456 @t465 @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4682 @t3939 @t2456) (tptp.hAPP (tptp.c_COMBB @t2455 @t30 @t465) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t127 @t4682 @t2456) @t2444) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2456 @t465) @t5464) @t5475))))) % 6.34/6.56 (assume @p4330 (forall @t5600 (=> @t5599 (not (=> @t5563 (not @t5596)))))) % 6.34/6.56 (assume @p4331 (forall @t5600 (=> @t5599 @t5596))) % 6.34/6.56 (assume @p4332 (forall @t5600 (=> @t5599 @t5563))) % 6.34/6.56 (assume @p4333 (forall (@list @t5464 @t64 @t140 @t30) (= (tptp.hBOOL (tptp.hAPP @t3363 (tptp.hAPP @t5601 @t5586))) (and @t5562 @t759)))) % 6.34/6.56 (assume @p4334 (forall (@list @t5475 @t2 @t465 @t5464 @t127 @t30) (= (tptp.hAPP @t5576 (tptp.hAPP @t5472 @t5475)) (tptp.hAPP @t5497 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t30 @t465) @t5464) @t5475))))) % 6.34/6.56 (assume @p4335 (forall (@list @t5475 @t5464 @t2 @t465 @t127 @t30) (= (tptp.hAPP @t5602 @t5475) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5006 @t2450) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t465 @t127 @t2450) @t4745)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t465 @t127) @t5464) @t5475))))) % 6.34/6.56 (assume @p4336 (forall (@list @t5475 @t1 @t2456 @t5464 @t2 @t465 @t127 @t30) (= (tptp.hAPP @t5602 (tptp.hAPP @t5595 @t5475)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2696 @t2450) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t465 @t2456 @t2450) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t465 @t2694 @t5603) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2452 (tptp.tc_fun @t2694 @t5603) @t465) (tptp.c_COMBB @t127 @t2450 @t2456)) @t4745)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t465 @t2456) @t5464) @t5475))))) % 6.34/6.56 (assume @p4337 (forall @t2821 (=> @t1228 (=> @t3403 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t30 @t2825) (tptp.hAPP @t5605 @t5574)))))) % 6.34/6.56 (assume @p4338 (forall (@list @t628 @t696 @t378 @t5587 @t5464 @t127 @t5475 @t30) (=> @t5616 (=> @t5614 (=> (not (tptp.hBOOL (tptp.hAPP @t3264 @t5503))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4369 @t5608) @t378) @t4370) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4369 @t5607) @t378) @t5610)) @t5609)))))) % 6.34/6.56 (assume @p4339 (forall (@list @t5578 @t5568 @t30 @t35) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5583)) @t5582) (tptp.hAPP @t5621 @t5617)))) % 6.34/6.56 (assume @p4340 (forall @t5627 (=> @t5626 (= (tptp.hAPP @t5500 @t5625) @t5622)))) % 6.34/6.56 (assume @p4341 (forall (@list @t5464 @t696 @t378 @t30) (=> @t1228 (= (tptp.hAPP @t5605 (tptp.hAPP @t5629 @t5464)) (tptp.hAPP @t5629 @t5628))))) % 6.34/6.56 (assume @p4342 (forall (@list @t5464 @t127 @t696 @t378 @t2 @t30) (=> @t1228 (=> @t4220 (= (tptp.hAPP @t5631 @t5633) (tptp.hAPP @t5632 (tptp.hAPP @t5631 @t5464))))))) % 6.34/6.56 (assume @p4343 (forall @t5636 (=> (not (= @t5620 @t5635)) (not @t5634)))) % 6.34/6.56 (assume @p4344 (forall @t5627 (=> @t5626 (= (tptp.hAPP @t5613 @t5625) @t5638)))) % 6.34/6.56 (assume @p4345 (forall @t1809 (=> @t1228 (tptp.c_Finite__Set_Ofun__left__comm @t30 @t5059 @t5604)))) % 6.34/6.56 (assume @p4346 (forall (@list @t23 @t2033 @t5475 @t5464 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5642 @t5064)) (and (= @t5637 @t23) (= @t5615 @t23))))) % 6.34/6.56 (assume @p4347 (forall (@list @t5475 @t1 @t465 @t5464 @t2 @t30 @t127) (=> (= @t5478 (tptp.hAPP (tptp.hAPP @t5465 @t1) @t5475)) (= @t5612 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5473) @t5475))))) % 6.34/6.56 (assume @p4348 (forall @t5505 (= (tptp.hAPP @t5613 @t5478) @t5612))) % 6.34/6.56 (assume @p4349 (forall @t5565 (=> @t1228 (= (tptp.c_List_Oremove1 @t30 @t378 @t5628) @t5464)))) % 6.34/6.56 (assume @p4350 (forall @t5487 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t5643) @t5637)))) % 6.34/6.56 (assume @p4351 (forall @t5487 (=> @t5644 @t5560))) % 6.34/6.56 (assume @p4352 (forall @t5487 (=> @t5560 @t5644))) % 6.34/6.56 (assume @p4353 (forall (@list @t5587 @t5464 @t127 @t5475 @t30) (=> @t5616 (=> @t5614 (=> @t5545 (=> @t5609 @t5645)))))) % 6.34/6.56 (assume @p4354 (forall @t5648 (=> @t5647 (= (tptp.hAPP @t5540 @t5597) @t5464)))) % 6.34/6.56 (assume @p4355 (forall @t5648 (=> @t5647 (= (tptp.hAPP @t5588 @t5597) @t5475)))) % 6.34/6.56 (assume @p4356 (forall @t5627 (=> @t5626 (= (tptp.hBOOL (tptp.hAPP @t5541 @t5625)) @t5649)))) % 6.34/6.56 (assume @p4357 (forall @t5565 (=> @t5563 @t5650))) % 6.34/6.56 (assume @p4358 (forall (@list @t5587 @t5475 @t127 @t5464 @t30) (=> @t5647 (= (= @t5597 @t5587) (and (= @t5590 @t5464) (= @t5589 @t5475)))))) % 6.34/6.56 (assume @p4359 (forall @t2036 (= @t5058 (tptp.hAPP @t5670 (tptp.hAPP @t5669 (tptp.hAPP (tptp.hAPP @t5668 (tptp.hAPP @t5667 (tptp.hAPP (tptp.hAPP @t5664 (tptp.hAPP @t5661 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5659 (tptp.hAPP @t5658 (tptp.hAPP (tptp.hAPP @t5654 @t474) @t5613))) @t5613)))) (tptp.hAPP (tptp.hAPP @t5668 (tptp.hAPP @t5667 (tptp.hAPP (tptp.hAPP @t5664 @t5662) @t5660))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5063 @t5449) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5652 (tptp.tc_fun @t5063 @t5449) @t5059) (tptp.c_COMBC @t5059 @t5063 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5653 @t5652 @t5059) (tptp.hAPP (tptp.c_COMBB @t5062 @t5651 @t5059) @t5641)) @t5639))) @t5060)))))))) % 6.34/6.57 (assume @p4360 (forall @t2036 (= @t5058 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5671 @t5059) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t5059 tptp.c_Wellfounded_Oless__than @t5060)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5059 @t5059 @t5671) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t5059 @t5671) @t5059) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t5059)) @t5613)) (tptp.c_COMBI @t5059)))))) % 6.34/6.57 (assume @p4361 (forall @t5679 (=> @t3403 (tptp.hBOOL (tptp.hAPP @t5509 (tptp.hAPP @t5678 (tptp.hAPP @t5677 (tptp.hAPP @t5673 @t23)))))))) % 6.34/6.57 (assume @p4362 (forall @t5682 (= @t5476 (and @t5681 (forall @t8 (=> @t5680 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3929 tptp.c_fequal) @t4)))))))) % 6.34/6.57 (assume @p4363 (forall @t5685 (=> @t5647 (= (= @t5684 @t453) @t5564)))) % 6.34/6.57 (assume @p4364 (forall @t5685 (=> @t5647 (= @t5563 (exists @t415 (= @t5684 (tptp.hAPP @t449 @t412))))))) % 6.34/6.57 (assume @p4365 (forall @t5565 (and (=> @t5563 (= @t5686 (tptp.hAPP (tptp.hAPP @t1459 @t5637) @t933))) (=> @t5564 (= @t5686 @t5637))))) % 6.34/6.57 (assume @p4366 (forall @t5648 (=> @t5647 (=> @t5560 (= (tptp.c_Map_Odom @t30 @t127 @t5683) @t5501))))) % 6.34/6.57 (assume @p4367 (forall @t5679 (=> @t3403 (tptp.hBOOL (tptp.hAPP @t5509 (tptp.hAPP @t5678 (tptp.hAPP @t5677 (tptp.hAPP (tptp.hAPP @t5672 (tptp.hAPP (tptp.hAPP @t5654 @t934) @t5613)) @t23)))))))) % 6.34/6.57 (assume @p4368 (forall @t2602 (and (=> @t3403 (= @t5687 (tptp.hAPP @t5613 @t5688))) (=> @t3705 (= @t5687 @t214))))) % 6.34/6.57 (assume @p4369 (forall @t5691 (= @t5690 (and @t5681 (forall @t8 (=> @t5680 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3929 @t3312) @t4)))))))) % 6.34/6.57 (assume @p4370 (forall @t5693 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5640 @t5464)) @t5692)))) % 6.34/6.57 (assume @p4371 (forall @t5691 (=> @t5690 @t5681))) % 6.34/6.57 (assume @p4372 (forall (@list @t5587 @t2033 @t5475 @t5464 @t30) (=> @t5695 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5694 @t5587)) @t5692)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5640 @t5587)) @t5692)))))) % 6.34/6.57 (assume @p4373 (forall @t3358 (=> @t3357 (tptp.hBOOL (tptp.hAPP @t5697 (tptp.c_List_Olistrel @t30 @t61)))))) % 6.34/6.57 (assume @p4374 (forall (@list @t3237 @t378 @t2033 @t30) (= (tptp.c_List_Olistrelp @t30 @t3312 @t378 @t3237) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5698 @t3237)) @t5689))))) % 6.34/6.57 (assume @p4375 (forall @t5065 (= (tptp.hAPP @t5061 @t109) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t5063) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5703 @t5703) @t5062 (tptp.c_Product__Type_Omap__pair @t5703 @t5059 @t5703 @t5059 @t5702 @t5702)) (tptp.c_Wellfounded_Olex__prod @t30 @t5059 @t2033 @t5064))) (tptp.hAPP @t5670 (tptp.hAPP @t5669 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5449 @t5449) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2251 @t5666 @t5059) @t5700) (tptp.hAPP @t5662 @t5699))) @t5699))))))) % 6.34/6.57 (assume @p4376 (forall (@list @t136 @t5578 @t5568 @t35) (=> (tptp.hBOOL (tptp.hAPP @t5707 @t5635)) (not (= @t5568 @t5706))))) % 6.34/6.57 (assume @p4377 (forall (@list @t5464 @t378 @t696 @t30) (=> (tptp.hBOOL (tptp.hAPP @t3034 @t5710)) (or @t2838 @t5523)))) % 6.34/6.57 (assume @p4378 (forall (@list @t5578 @t135 @t5568 @t136 @t30 @t35) (= (tptp.hAPP (tptp.hAPP @t5580 @t5711) (tptp.hAPP (tptp.hAPP @t5701 @t135) @t5578)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5583) @t2561) @t5582)))) % 6.34/6.57 (assume @p4379 (forall @t5565 (= @t5710 @t5622))) % 6.34/6.57 (assume @p4380 (forall @t5561 (tptp.hBOOL (tptp.hAPP @t5712 @t5710)))) % 6.34/6.57 (assume @p4381 (forall (@list @t140 @t5464 @t378 @t2 @t30 @t127) (= (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5716 @t140) (tptp.hAPP @t668 @t5713)))) % 6.34/6.57 (assume @p4382 (forall @t5717 (not (= @t5568 @t5711)))) % 6.34/6.57 (assume @p4383 (forall @t5718 (not (= @t5711 @t5568)))) % 6.34/6.57 (assume @p4384 (forall (@list @t5719 @t444 @t5471 @t140 @t30) (= (= @t5721 (tptp.hAPP (tptp.hAPP @t5701 @t444) @t5719)) (and @t445 (= @t5471 @t5719))))) % 6.34/6.57 (assume @p4385 (forall (@list @t113 @t83 @t88 @t84 @t2033 @t30) (= (tptp.c_List_Olistrelp @t30 @t2033 (tptp.hAPP (tptp.hAPP @t5701 @t84) @t88) (tptp.hAPP @t5722 @t113)) (and (tptp.hBOOL (tptp.hAPP @t5049 @t83)) (tptp.c_List_Olistrelp @t30 @t2033 @t88 @t113))))) % 6.34/6.57 (assume @p4386 (forall (@list @t5475 @t5464 @t30 @t696 @t378 @t2033) (=> (tptp.hBOOL (tptp.hAPP @t4962 @t696)) (=> (tptp.c_List_Olistrelp @t30 @t2033 @t5464 @t5475) (tptp.c_List_Olistrelp @t30 @t2033 @t5709 @t5724))))) % 6.34/6.57 (assume @p4387 (forall @t5627 (= (tptp.hAPP @t5470 @t5716) (tptp.hAPP (tptp.hAPP @t5701 @t668) @t5478)))) % 6.34/6.57 (assume @p4388 (forall (@list @t5568 @t35 @t135 @t136) (and (=> @t137 (= @t5727 @t5568)) (=> @t505 (= @t5727 (tptp.hAPP @t5725 @t5569)))))) % 6.34/6.57 (assume @p4389 (forall (@list @t5475 @t127 @t696 @t378 @t2 @t30) (=> @t1228 (and (=> @t2958 (= @t5730 (tptp.hAPP @t5715 @t5729))) (=> (not @t2958) (= @t5730 (tptp.hAPP @t5728 (tptp.hAPP @t5632 @t5475)))))))) % 6.34/6.57 (assume @p4390 (forall @t5565 (= (tptp.hBOOL (tptp.hAPP @t5541 @t5709)) @t5649))) % 6.34/6.57 (assume @p4391 (forall (@list @t5731 @t990 @t127 @t30 @t322 @t558) (and (=> @t5734 (= @t5733 (tptp.hAPP @t449 @t990))) (=> (not @t5734) (= @t5733 (tptp.hAPP (tptp.c_Map_Omap__of @t30 @t127 @t5731) @t322)))))) % 6.34/6.57 (assume @p4392 (forall (@list @t5735 @t278 @t35) (= (tptp.hAPP @t5619 (tptp.hAPP @t5736 @t5735)) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t5619 @t5735)) @t300)))) % 6.34/6.57 (assume @p4393 (forall @t5739 (=> @t3400 (=> @t5690 (tptp.hBOOL (tptp.hAPP @t5738 @t5689)))))) % 6.34/6.57 (assume @p4394 (forall (@list @t5424 @t1615 @t127 @t30) (= (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP (tptp.hAPP @t5732 @t1615) @t5424)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t5431) @t2571) (tptp.hAPP @t449 @t2605))))) % 6.34/6.57 (assume @p4395 (forall @t5740 (= (tptp.hBOOL (tptp.hAPP @t5738 @t5060)) (or (and @t3400 @t5681) (and @t894 (tptp.hBOOL (tptp.hAPP @t5642 @t5060))))))) % 6.34/6.57 (assume @p4396 (forall (@list @t5464 @t378 @t2033 @t30) (= (tptp.hAPP @t5743 (tptp.hAPP (tptp.hAPP @t5742 @t5709) @t5741)) (tptp.c_List_Oset__Cons @t30 @t3398 (tptp.hAPP @t5743 (tptp.hAPP (tptp.hAPP @t5742 @t5464) @t5741)))))) % 6.34/6.57 (assume @p4397 (forall (@list @t3132 @t1235 @t30) (= (tptp.c_List_Oset__Cons @t30 @t1235 @t3132) (tptp.hAPP @t5678 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2371 tptp.tc_HOL_Obool @t5059) @t4974) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5747 @t2371 @t5059) (tptp.hAPP (tptp.c_COMBB @t5449 tptp.tc_HOL_Obool @t30) (tptp.c_HOL_OEx @t5059))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5747 @t5747) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5750 (tptp.tc_fun @t5747 @t5747) @t5059) (tptp.c_COMBS @t30 @t5449 @t5449)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5749 @t5750 @t5059) (tptp.hAPP (tptp.c_COMBB @t5663 @t5666 @t30) @t5665)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5747 @t5749 @t5059) (tptp.hAPP (tptp.c_COMBB @t5449 @t5663 @t30) @t5662)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5748 @t5747) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5746 (tptp.tc_fun @t5748 @t5747) @t5059) (tptp.c_COMBB @t5745 @t5449 @t30)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5449 @t5746 @t5059) (tptp.c_COMBB @t5059 tptp.tc_HOL_Obool @t5059)) tptp.c_fequal))) @t5701))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5449 @t5449) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2251 @t5666 @t30) @t5700) @t4085)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5449 tptp.tc_HOL_Obool) @t5744) @t3132))))))))) % 6.34/6.57 (assume @p4398 (forall (@list @t2033 @t5464 @t5475 @t696 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t5724) @t5464)) @t5689)) (not (forall (@list @t412 @t5751) (=> (= @t5464 (tptp.hAPP @t5752 @t5751)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3954 @t412)) @t2033)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5694 @t5751)) @t5689)))))))))) % 6.34/6.57 (assume @p4399 (forall (@list @t2033 @t5475 @t696 @t5464 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5640 @t5724)) @t5689)) (not (forall (@list @t4 @t5753) (=> (= @t5464 (tptp.hAPP @t5754 @t5753)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3062 @t696)) @t2033)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t5753) @t5475)) @t5689)))))))))) % 6.34/6.57 (assume @p4400 (forall @t5759 (= (tptp.hAPP @t5613 @t5758) (tptp.hAPP @t3702 (tptp.hAPP @t4866 @t5757))))) % 6.34/6.57 (assume @p4401 (forall (@list @t5568 @t136 @t35 @t544) (and (=> @t5762 (= @t5761 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t35) @t136))) (=> (not @t5762) (= @t5761 (tptp.hAPP (tptp.c_Random_Opick @t35 @t5568) (tptp.hAPP @t2161 @t5760))))))) % 6.34/6.57 (assume @p4402 (forall @t5759 (=> @t5560 (tptp.hBOOL (tptp.hAPP @t5541 @t5758))))) % 6.34/6.57 (assume @p4403 (forall @t5765 (=> @t5564 (not @t5764)))) % 6.34/6.57 (assume @p4404 (forall @t5765 (=> @t5764 @t5563))) % 6.34/6.57 (assume @p4405 (forall @t5759 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5763) @t5501)))) % 6.34/6.57 (assume @p4406 (forall @t5565 (= (tptp.c_Random_Oselect__weight @t30 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5768) (tptp.hAPP (tptp.hAPP @t5767 @t2029) @t378)) @t5464)) @t5766))) % 6.34/6.57 (assume @p4407 (forall @t5772 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2167 @t178) @t5771)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 (tptp.hAPP @t5770 @t178)) @t5769))))) % 6.34/6.57 (assume @p4408 (forall @t5718 (=> @t371 (= (tptp.hAPP @t5773 @t5711) (tptp.hAPP @t1536 @t5774))))) % 6.34/6.57 (assume @p4409 (forall @t5778 (=> @t1479 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 @t4423) @t5464)) (tptp.hAPP (tptp.hAPP @t1475 @t5777) @t5776))))) % 6.34/6.57 (assume @p4410 (forall (@list @t5464 @t25 @t2 @t127 @t30) (=> @t2940 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 (tptp.hAPP @t4411 @t25)) @t5464)) (tptp.hAPP (tptp.hAPP @t776 @t5777) @t25))))) % 6.34/6.57 (assume @p4411 (forall (@list @t5464 @t2 @t25 @t127 @t30) (=> @t2940 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 (tptp.hAPP (tptp.hAPP @t3759 @t857) @t2)) @t5464)) (tptp.hAPP @t857 @t5777))))) % 6.34/6.57 (assume @p4412 (forall @t5778 (=> @t3782 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 @t4415) @t5464)) (tptp.hAPP (tptp.hAPP @t354 @t5777) @t5776))))) % 6.34/6.57 (assume @p4413 (forall @t5543 (=> @t5779 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 @t4402) @t5464)) @t352)))) % 6.34/6.57 (assume @p4414 (forall @t5487 (=> @t1646 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 (tptp.hAPP @t1644 @t5780)) (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5485 @t1644) @t5464))))))) % 6.34/6.57 (assume @p4415 (forall @t5505 (=> @t1479 (= (tptp.hAPP @t740 @t5777) (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 @t30 @t127 @t740) @t2)) @t5464)))))) % 6.34/6.57 (assume @p4416 (forall @t5487 (=> @t3782 (=> @t5560 (= @t5780 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t30 @t30) @t2221) @t5501)))))) % 6.34/6.57 (assume @p4417 (forall @t5487 (= @t5766 (tptp.hAPP (tptp.hAPP @t5783 (tptp.c_Random_Orange @t5771)) (tptp.hAPP @t5782 @t5770))))) % 6.34/6.57 (assume @p4418 (forall (@list @t2 @t5464 @t30 @t127) (=> @t4420 (=> @t5560 (= @t5785 (tptp.hAPP @t4421 @t5501)))))) % 6.34/6.57 (assume @p4419 (forall (@list @t1539 @t327 @t2 @t30) (=> @t3782 (= (tptp.hAPP @t5775 (tptp.hAPP @t5787 @t5786)) (tptp.hAPP @t4508 (tptp.hAPP @t5552 @t5786)))))) % 6.34/6.57 (assume @p4420 (forall (@list @t1545 @t178 @t2 @t30) (=> @t3782 (= (tptp.hAPP @t4508 @t5554) (tptp.hAPP @t5775 (tptp.hAPP @t5787 @t5553)))))) % 6.34/6.57 (assume @p4421 (forall (@list @t5464 @t2033 @t127 @t30) (=> @t180 (= (tptp.hAPP @t5775 (tptp.hAPP (tptp.hAPP @t5469 (tptp.hAPP @t2570 @t2033)) @t5464)) (tptp.hAPP (tptp.hAPP @t776 (tptp.hAPP @t616 @t5612)) @t2033))))) % 6.34/6.57 (assume @p4422 (forall (@list @t2 @t5464 @t378 @t30 @t127) (=> @t4420 (=> @t5563 (= @t5785 (tptp.hAPP (tptp.hAPP @t4424 @t668) (tptp.hAPP @t5784 (tptp.hAPP @t5452 @t5558)))))))) % 6.34/6.57 (assume @p4423 (forall @t5789 (=> (tptp.hBOOL (tptp.hAPP @t2619 @t5771)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 (tptp.hAPP @t5788 (tptp.hAPP @t5766 @t61))) @t5769))))) % 6.34/6.57 (assume @p4424 (forall @t3791 (=> @t4420 (and (=> @t3403 (= @t5790 (tptp.hAPP @t5784 (tptp.hAPP @t5452 @t5688)))) (=> @t3705 (= @t5790 @t3784)))))) % 6.34/6.57 (assume @p4425 (forall @t5793 (=> @t1228 (=> (not @t5792) (= @t5791 @t5633))))) % 6.34/6.57 (assume @p4426 (forall (@list @t5794) (= (= (tptp.hAPP @t5798 @t5794) @t214) @t5797))) % 6.34/6.57 (assume @p4427 (forall (@list @t378 @t2 @t5464 @t30 @t127) (=> @t5626 (=> @t5560 (tptp.hBOOL (tptp.hAPP @t5541 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t30 @t127 @t2 @t378 @t5464))))))) % 6.34/6.57 (assume @p4428 (forall @t5565 (=> @t1228 (=> @t5563 (= @t5799 @t5464))))) % 6.34/6.57 (assume @p4429 (forall @t5565 (=> @t1228 (= (tptp.hAPP @t5500 @t5799) @t5622)))) % 6.34/6.57 (assume @p4430 (forall @t5793 (=> @t1228 (=> @t5792 (= @t5791 @t5464))))) % 6.34/6.57 (assume @p4431 (forall @t5565 (=> @t1228 (=> @t5564 (= @t5799 @t5628))))) % 6.34/6.57 (assume @p4432 (forall (@list @t2033 @t696 @t64 @t378 @t140 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t5804) @t5803)) @t5800)) (or @t3364 (and @t759 @t5802))))) % 6.34/6.57 (assume @p4433 (forall @t5530 (= @t5598 (tptp.hAPP @t4896 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 tptp.tc_HOL_Obool @t2450) @t5810) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2450 @t2246 @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2952 @t2954 @t2450) @t2953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2246 @t2952 @t2450) @t2951) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2450 @t5809 @t2246) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3040 (tptp.tc_fun @t5809 @t2246) @t2450) (tptp.c_COMBB @t2450 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t127 @t2450) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2452 tptp.tc_Nat_Onat) @t2411) @t5808)) @t5806))))) (tptp.hAPP @t4863 (tptp.hAPP (tptp.hAPP @t2510 @t5637) @t5646)))))))) % 6.34/6.57 (assume @p4434 (forall (@list @t5578 @t30 @t5568 @t35 @t544) (=> @t5814 (=> (tptp.hBOOL (tptp.hAPP @t549 @t5617)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5583) @t5582) @t544) (tptp.hAPP (tptp.hAPP @t2440 @t5813) (tptp.hAPP (tptp.hAPP @t5807 @t5578) @t544))))))) % 6.34/6.57 (assume @p4435 (forall (@list @t2 @t127 @t5464 @t30 @t23) (=> @t5816 (= (tptp.hAPP (tptp.hAPP @t5805 @t5482) @t23) (tptp.hAPP @t2 @t5815))))) % 6.34/6.57 (assume @p4436 (forall (@list @t5817 @t322) (=> @t5823 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t5820) @t5818))))) % 6.34/6.57 (assume @p4437 (forall (@list @t10 @t5568 @t136 @t35) (= (tptp.hAPP @t5825 @t36) @t5824))) % 6.34/6.57 (assume @p4438 (forall @t5718 (= (tptp.hAPP @t5825 @t214) @t136))) % 6.34/6.57 (assume @p4439 (forall (@list @t23 @t5464 @t378 @t30) (= (tptp.hAPP (tptp.hAPP @t5807 @t5709) @t23) (tptp.c_Nat_Onat_Onat__case @t30 @t378 @t5808 @t23)))) % 6.34/6.57 (assume @p4440 (forall @t5830 (= @t5829 (forall @t1242 (=> @t5827 (tptp.hBOOL (tptp.hAPP @t27 @t5826))))))) % 6.34/6.57 (assume @p4441 (forall @t5682 (= @t5476 (and @t5681 (forall @t1242 (=> @t5827 (= @t5826 (tptp.hAPP @t5831 @t1238)))))))) % 6.34/6.57 (assume @p4442 (forall @t5487 (= @t5560 (forall @t1242 (=> @t5827 (forall @t592 (=> @t5833 (=> (not (= @t1238 @t590)) (not (= @t5826 @t5832)))))))))) % 6.34/6.57 (assume @p4443 (forall (@list @t1545 @t178 @t5464 @t30) (=> @t5560 (=> @t5835 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1545) @t5637)) (= (= @t5834 (tptp.hAPP @t5808 @t1545)) (= @t178 @t1545))))))) % 6.34/6.57 (assume @p4444 (forall (@list @t5464 @t30 @t23) (=> @t5816 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t5815) @t5501))))) % 6.34/6.57 (assume @p4445 (forall @t5565 (= @t5563 (exists @t1242 (and @t5827 (= @t5826 @t378)))))) % 6.34/6.57 (assume @p4446 (forall @t5837 (and (=> @t342 (= @t5836 @t136)) (=> @t480 (= @t5836 (tptp.hAPP @t5812 @t1604)))))) % 6.34/6.57 (assume @p4447 (forall @t5487 (= @t5501 (tptp.hAPP @t4876 (tptp.hAPP @t5841 (tptp.hAPP @t5840 @t5755)))))) % 6.34/6.57 (assume @p4448 (forall @t5844 (and (=> @t1831 (= @t5842 @t136)) (=> @t5843 (= @t5842 (tptp.hAPP @t5812 @t1620)))))) % 6.34/6.57 (assume @p4449 (forall @t5487 (=> @t3782 (= @t5780 (tptp.hAPP (tptp.hAPP @t4427 @t5808) (tptp.hAPP @t4277 @t5637)))))) % 6.34/6.57 (assume @p4450 (forall @t5759 (= @t5763 (tptp.hAPP @t4876 (tptp.hAPP @t5841 (tptp.hAPP @t5840 @t5757)))))) % 6.34/6.57 (assume @p4451 (forall @t5286 (= (tptp.hBOOL (tptp.hAPP @t5801 @t5060)) (and @t5802 @t5847)))) % 6.34/6.57 (assume @p4452 (forall @t5691 (= @t5690 (and @t5681 (forall @t53 (=> @t5849 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t5848 (tptp.hAPP @t5831 @t46))) @t2033)))))))) % 6.34/6.57 (assume @p4453 (forall (@list @t5464 @t30 @t1539) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t1539) @t5637)) (= (tptp.hAPP (tptp.c_Random_Opick @t30 @t5850) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1539)) (tptp.hAPP @t5808 @t1539))))) % 6.34/6.57 (assume @p4454 (forall @t5487 (= @t5851 (tptp.hAPP (tptp.hAPP @t5783 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5637))) (tptp.hAPP @t5782 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t30 tptp.tc_Code__Numeral_Ocode__numeral) @t5808) tptp.c_Code__Numeral_Onat__of)))))) % 6.34/6.57 (assume @p4455 (forall @t5286 (= @t5802 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t5846) @t5845)) (= (tptp.hAPP (tptp.hAPP @t5852 @t5846) @t696) @t378)) (exists @t1242 (and (tptp.hBOOL (tptp.hAPP @t1617 (tptp.hAPP (tptp.hAPP @t2510 @t5846) @t5845))) (= (tptp.hAPP @t5853 @t378) (tptp.hAPP @t5853 @t696)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 (tptp.hAPP (tptp.hAPP @t5807 @t378) @t1238)) (tptp.hAPP (tptp.hAPP @t5807 @t696) @t1238))) @t2033)))))))) % 6.34/6.57 (assume @p4456 (forall @t5857 (=> (tptp.hBOOL (tptp.hAPP @t2986 @t5856)) @t5563))) % 6.34/6.57 (assume @p4457 (forall (@list @t5568 @t35 @t10 @t544) (=> (tptp.hBOOL (tptp.hAPP @t549 @t10)) (= (tptp.hAPP (tptp.hAPP @t5811 @t5860) @t544) @t5813)))) % 6.34/6.57 (assume @p4458 (forall @t5861 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t5856) @t5501)))) % 6.34/6.57 (assume @p4459 (forall (@list @t5464 @t30 @t23 @t325) (=> @t936 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t5500 (tptp.hAPP (tptp.hAPP @t5852 @t325) @t5464))) @t5856))))) % 6.34/6.57 (assume @p4460 (forall @t5863 (=> @t5862 (= @t5860 @t5568)))) % 6.34/6.57 (assume @p4461 (forall @t5865 (=> @t5571 (tptp.hBOOL (tptp.hAPP @t5570 @t5864))))) % 6.34/6.57 (assume @p4462 (forall @t5867 (= (tptp.hAPP @t5859 @t5866) (tptp.hAPP (tptp.hAPP @t5858 (tptp.hAPP @t2542 @t264)) @t5568)))) % 6.34/6.57 (assume @p4463 (forall @t5868 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5583) @t10) @t5582) (tptp.hAPP (tptp.hAPP @t5580 @t5860) (tptp.hAPP (tptp.hAPP @t5852 @t10) @t5578))))) % 6.34/6.57 (assume @p4464 (forall @t5869 (= (tptp.hAPP @t5619 @t5860) (tptp.hAPP @t5621 @t10)))) % 6.34/6.57 (assume @p4465 (forall @t5871 (= (tptp.hAPP @t5870 @t5711) (tptp.hAPP @t5705 @t5860)))) % 6.34/6.57 (assume @p4466 (forall (@list @t23 @t1539 @t30) (= (tptp.c_List_Osublist @t30 @t1539 @t4364) (tptp.hAPP @t5854 @t1539)))) % 6.34/6.57 (assume @p4467 (forall @t5872 (= (tptp.hAPP @t5854 @t5478) (tptp.hAPP @t5470 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t127) @t23) @t5464))))) % 6.34/6.57 (assume @p4468 (forall (@list @t10 @t5817 @t322) (=> @t5823 (= (tptp.hAPP @t5798 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5817) @t322) @t10)) (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP (tptp.hAPP @t301 @t5818) @t10)) @t5820))))) % 6.34/6.57 (assume @p4469 (forall @t5876 (=> @t5875 (= (tptp.c_Random_Oselect__weight @t30 @t5850) @t5851)))) % 6.34/6.57 (assume @p4470 (forall @t5693 (=> (tptp.hBOOL (tptp.hAPP @t5878 @t5689)) @t5874))) % 6.34/6.57 (assume @p4471 (forall @t5693 (=> (tptp.hBOOL (tptp.hAPP @t5879 @t5689)) @t5874))) % 6.34/6.57 (assume @p4472 (forall @t5865 (= (tptp.hAPP @t5881 @t5813) @t5568))) % 6.34/6.57 (assume @p4473 (forall (@list @t136 @t5568 @t35 @t546 @t544) @t5887)) % 6.34/6.57 (assume @p4474 (forall @t5888 (=> (tptp.hBOOL (tptp.hAPP @t5707 @t544)) (= @t5883 @t5568)))) % 6.34/6.57 (assume @p4475 (forall @t882 (= (tptp.hAPP @t5859 @t5889) @t5889))) % 6.34/6.57 (assume @p4476 (forall @t5861 (= (= @t5855 @t5873) (or @t338 @t5874)))) % 6.34/6.57 (assume @p4477 (forall @t5890 (= (tptp.hAPP (tptp.hAPP @t5858 @t214) @t5568) @t5889))) % 6.34/6.57 (assume @p4478 (forall @t447 (= (tptp.hAPP @t5619 @t5889) @t214))) % 6.34/6.57 (assume @p4479 (forall @t5487 (= (= @t5637 @t214) @t5874))) % 6.34/6.57 (assume @p4480 (forall @t5888 (= (tptp.hAPP @t5619 @t5883) @t5620))) % 6.34/6.57 (assume @p4481 (forall @t5893 (= (tptp.hAPP @t5854 @t5709) (tptp.c_Nat_Onat_Onat__case @t5059 @t5873 (tptp.hAPP @t5892 (tptp.hAPP (tptp.hAPP @t5891 @t5852) @t5464)) @t23)))) % 6.34/6.57 (assume @p4482 (forall @t5505 (= (= @t5873 @t5478) @t5895))) % 6.34/6.57 (assume @p4483 (forall @t3293 (= (tptp.hAPP @t5470 @t5894) @t5873))) % 6.34/6.57 (assume @p4484 (forall (@list @t696 @t327 @t5464 @t2 @t30 @t127) (= (tptp.hAPP @t5470 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t127 @t5464) @t327) @t696)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t30 @t5478) @t327) @t2433)))) % 6.34/6.57 (assume @p4485 (forall @t5896 (= (= @t5478 @t5873) @t5895))) % 6.34/6.57 (assume @p4486 (forall (@list @t135 @t5578 @t136 @t544 @t5568 @t30 @t35) (= (tptp.hAPP (tptp.hAPP @t5580 @t5883) (tptp.hAPP @t5898 @t135)) (tptp.hAPP @t5897 @t2561)))) % 6.34/6.57 (assume @p4487 (forall (@list @t5899 @t544 @t5578 @t5568 @t30 @t35) (= (tptp.hAPP @t5897 @t5899) (tptp.hAPP (tptp.hAPP @t5580 (tptp.hAPP @t5881 (tptp.hAPP @t2562 @t5899))) (tptp.hAPP @t5898 (tptp.hAPP @t2563 @t5899)))))) % 6.34/6.57 (assume @p4488 (forall @t2602 (= (tptp.c_List_Osublist @t30 @t5873 @t1235) @t5873))) % 6.34/6.57 (assume @p4489 (forall @t5487 (= (tptp.c_List_Osublist @t30 @t5464 @t3339) @t5873))) % 6.34/6.57 (assume @p4490 (forall @t5518 (=> @t5626 (= (tptp.hAPP @t5624 @t5873) @t5900)))) % 6.34/6.57 (assume @p4491 (forall (@list @t135 @t544 @t5568 @t136 @t35) (= (tptp.hAPP (tptp.hAPP @t5902 @t545) @t135) (tptp.hAPP @t5705 @t5901)))) % 6.34/6.57 (assume @p4492 (forall @t5905 (not (= @t5904 @t5889)))) % 6.34/6.57 (assume @p4493 (forall @t5905 (not (= @t5889 @t5904)))) % 6.34/6.57 (assume @p4494 (forall (@list @t135 @t5568 @t136 @t35) (= (tptp.hAPP (tptp.hAPP @t5902 @t214) @t135) @t5726))) % 6.34/6.57 (assume @p4495 (forall (@list @t1684 @t178 @t5464 @t378 @t30) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t30 @t5709) @t178) @t1684) (tptp.c_Nat_Onat_Onat__case @t5059 (tptp.hAPP (tptp.hAPP @t5701 @t1684) @t5464) (tptp.hAPP @t5892 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t30 @t5059) @t5906) @t1684)) @t178)))) % 6.34/6.57 (assume @p4496 (forall @t1809 (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t30 @t2815) @t5873)))) % 6.34/6.57 (assume @p4497 (forall (@list @t5568 @t30 @t35) (= (tptp.hAPP @t5581 @t5873) @t5907))) % 6.34/6.57 (assume @p4498 (forall (@list @t5578 @t30 @t35) (= (tptp.hAPP (tptp.hAPP @t5580 @t5889) @t5578) @t5907))) % 6.34/6.57 (assume @p4499 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t629 @t546) @t544)) @t5909))) % 6.34/6.57 (assume @p4500 (forall (@list @t140 @t2 @t30 @t127) (= (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5894 @t140) @t140))) % 6.34/6.57 (assume @p4501 (forall (@list @t322 @t35 @t30) (= (tptp.hAPP (tptp.c_Map_Omap__of @t30 @t35 (tptp.c_List_Olist_ONil @t5579)) @t322) @t440))) % 6.34/6.57 (assume @p4502 (forall (@list @t5002 @t30 @t35) (= (tptp.hAPP (tptp.c_Map_Omap__of @t35 @t30 @t5907) @t5002) @t433))) % 6.34/6.57 (assume @p4503 (forall (@list @t378 @t327 @t5464 @t30) (= (= (tptp.hAPP (tptp.hAPP @t5906 @t327) @t378) @t5873) @t5874))) % 6.34/6.57 (assume @p4504 (forall (@list @t990 @t544 @t35) (= (tptp.hAPP @t5910 @t990) @t5889))) % 6.34/6.57 (assume @p4505 (forall (@list @t135 @t544 @t35) (= (tptp.hAPP @t5910 @t135) @t5889))) % 6.34/6.57 (assume @p4506 (forall (@list @t135 @t136 @t544 @t5568 @t35) (= (tptp.hAPP (tptp.hAPP @t5911 @t544) @t135) @t5901))) % 6.34/6.57 (assume @p4507 (forall (@list @t5912 @t136 @t5568 @t35 @t5913 @t544) (=> (not (= @t544 @t5913)) (= (tptp.hAPP (tptp.hAPP @t5911 @t5913) @t5912) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 (tptp.hAPP (tptp.hAPP @t5880 @t5913) @t5912)) @t544) @t136))))) % 6.34/6.57 (assume @p4508 (forall @t436 (= (tptp.c_List_Oremove1 @t35 @t136 @t5889) @t5889))) % 6.34/6.57 (assume @p4509 (forall @t447 (tptp.hBOOL (tptp.hAPP @t5570 @t5889)))) % 6.34/6.57 (assume @p4510 (forall (@list @t5464 @t140 @t2 @t30 @t127) (=> @t5626 (not (= (tptp.hAPP @t5914 @t5464) @t5873))))) % 6.34/6.57 (assume @p4511 (forall @t2036 (tptp.c_List_Olistrelp @t30 @t2033 @t5873 @t5873))) % 6.34/6.57 (assume @p4512 (forall @t1809 (= (tptp.hAPP @t5500 @t5873) @t2815))) % 6.34/6.57 (assume @p4513 (forall @t5487 (= (= @t2815 @t5501) @t5874))) % 6.34/6.57 (assume @p4514 (forall @t5487 (= (= @t5501 @t2815) @t5874))) % 6.34/6.57 (assume @p4515 (forall @t447 (=> @t371 (= (tptp.hAPP @t5773 @t5889) @t364)))) % 6.34/6.57 (assume @p4516 (forall @t5487 (= @t5650 @t5875))) % 6.34/6.57 (assume @p4517 (forall (@list @t178 @t378 @t1235 @t5464 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5712 @t1235)) (=> @t2987 (tptp.hBOOL (tptp.hAPP @t5917 @t1235)))))) % 6.34/6.57 (assume @p4518 (forall @t5718 (= (tptp.hAPP (tptp.hAPP @t5858 @t933) @t5711) @t5918))) % 6.34/6.57 (assume @p4519 (forall (@list @t378 @t178 @t5464 @t30) (tptp.hBOOL (tptp.hAPP @t5917 @t5622)))) % 6.34/6.57 (assume @p4520 (forall (@list @t136 @t5568 @t35 @t544) (=> @t5814 (= (tptp.hAPP @t5884 @t544) @t136)))) % 6.34/6.57 (assume @p4521 (forall (@list @t378 @t5464 @t30 @t178) (=> @t5835 (= (= @t5916 @t5464) (= @t5834 @t378))))) % 6.34/6.57 (assume @p4522 (forall (@list @t136 @t546 @t5568 @t35 @t544) (=> @t5814 (and (=> @t5886 (= @t5885 @t136)) @t5887)))) % 6.34/6.57 (assume @p4523 (forall @t2036 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 @t5919) @t5689)))) % 6.34/6.57 (assume @p4524 (forall @t3561 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5698 @t5873)) @t5800))))) % 6.34/6.57 (assume @p4525 (forall @t5693 (not (tptp.hBOOL (tptp.hAPP @t5879 @t5060))))) % 6.34/6.57 (assume @p4526 (forall (@list @t2033 @t5475 @t30) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5877 @t5475)) @t5060))))) % 6.34/6.57 (assume @p4527 (forall (@list @t378 @t5464 @t30 @t23) (=> @t5816 (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5500 (tptp.hAPP (tptp.hAPP @t5906 @t23) @t378))))))) % 6.34/6.57 (assume @p4528 (forall @t572 (and (=> @t925 (= @t5555 (tptp.hAPP (tptp.hAPP @t5920 @t544) (tptp.c_List_Oupto (tptp.hAPP @t676 @t901) @t546)))) (=> (not @t925) @t5909)))) % 6.34/6.57 (assume @p4529 (forall (@list @t378 @t30 @t1235) (and (=> @t5923 (= @t5921 @t5900)) (=> (not @t5923) (= @t5921 @t5873))))) % 6.34/6.57 (assume @p4530 (forall @t5837 (and (=> @t342 (= @t5926 @t5889)) (=> @t480 (= @t5926 (tptp.hAPP @t5705 @t5925)))))) % 6.34/6.57 (assume @p4531 (forall @t316 (and (=> @t5929 (= @t5928 (tptp.hAPP (tptp.hAPP @t5920 @t5927) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t626 @t5927) @t901) @t1994)))) (=> (not @t5929) (= @t5928 @t5908))))) % 6.34/6.57 (assume @p4532 (forall (@list @t61 @t30 @t5464) (=> @t5875 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 (tptp.hAPP @t5788 (tptp.hAPP @t5851 @t61))) @t5501))))) % 6.34/6.57 (assume @p4533 (forall @t2036 (= (tptp.hAPP @t5743 @t5930) @t5930))) % 6.34/6.57 (assume @p4534 (forall @t2602 (= (tptp.c_List_Oset__Cons @t30 @t1235 @t5930) (tptp.hAPP (tptp.c_Set_Oimage @t30 @t5059 @t5932) @t1235)))) % 6.34/6.57 (assume @p4535 (forall @t5844 (and (=> @t1831 (= @t5933 @t5889)) (=> @t5843 (= @t5933 (tptp.hAPP @t5705 (tptp.hAPP (tptp.hAPP @t5858 @t1620) @t5568))))))) % 6.34/6.57 (assume @p4536 (forall (@list @t178 @t140 @t5464 @t30) (=> @t5560 (=> (not (tptp.hBOOL (tptp.hAPP @t3002 (tptp.hAPP @t5557 (tptp.hAPP (tptp.hAPP @t2817 @t5834) @t2815))))) (tptp.hBOOL (tptp.hAPP @t5541 (tptp.hAPP @t5915 @t140))))))) % 6.34/6.57 (assume @p4537 (forall @t4171 (=> (tptp.hBOOL (tptp.hAPP @t5935 (tptp.hAPP (tptp.hAPP @t2193 @t178) @t1545))) (and (=> @t5934 (= @t5553 (tptp.hAPP (tptp.hAPP @t5920 @t178) @t5556))) (=> (not @t5934) (= @t5553 @t5908)))))) % 6.34/6.57 (assume @p4538 (forall @t2691 (and (=> @t2689 (= @t5942 @t5941)) (=> @t2690 (= @t5942 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5937 @t2450 @t5941 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t5937) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5938 @t5938) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5940 (tptp.tc_fun @t5938 @t5938) @t30) (tptp.c_COMBB @t5937 @t5937 @t127)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5939 @t5940 @t30) (tptp.c_Product__Type_Oprod_Oprod__case @t5059 @t127 @t5937)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5745 @t5939 @t30) (tptp.hAPP (tptp.c_COMBB @t5059 @t5938 @t5059) @t5936)) @t5701)))) (tptp.c_Lazy__Sequence_Oanamorph @t127 @t30 @t2 @t2686)))) @t668)))))) % 6.34/6.57 (assume @p4539 (forall @t1809 (= (tptp.c_List_Olistset @t30 (tptp.c_List_Olist_ONil @t2371)) @t5930))) % 6.34/6.57 (assume @p4540 (forall (@list @t5475 @t5464 @t378 @t127 @t30) (= (tptp.hAPP (tptp.hAPP @t5575 @t5709) @t5475) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5943 @t127 @t5946 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t5945 @t5945) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5944 (tptp.tc_fun @t5945 @t5945) @t127) (tptp.c_COMBB @t5943 @t5943 @t5453)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2450 @t5944 @t127) @t5732) @t2434))) @t5576)) @t5475)))) % 6.34/6.57 (assume @p4541 (forall (@list @t5471 @t140 @t44 @t37 @t127 @t30) (= (tptp.hAPP @t5947 (tptp.hAPP (tptp.hAPP @t5714 @t140) @t5471)) (tptp.hAPP @t448 @t5471)))) % 6.34/6.57 (assume @p4542 (forall @t454 (= (tptp.hAPP @t5947 @t5894) @t37))) % 6.34/6.57 (assume @p4543 (forall (@list @t5948 @t1235 @t30) (= (tptp.c_List_Olistset @t30 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t2371) @t1235) @t5948)) (tptp.c_List_Oset__Cons @t30 @t1235 (tptp.c_List_Olistset @t30 @t5948))))) % 6.34/6.57 (assume @p4544 (forall (@list @t5475 @t696 @t5464 @t127 @t30) (= (tptp.hAPP @t5576 @t5729) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5943 @t30 @t5946 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t5949 @t5949) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5944 (tptp.tc_fun @t5949 @t5949) @t30) (tptp.c_COMBB @t5943 @t5943 @t5059)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2450 @t5944 @t30) @t5732) (tptp.hAPP @t4784 @t696)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5453 @t5943) @t5575) @t5475))) @t5464)))) % 6.34/6.57 (assume @p4545 (forall @t2408 (=> (tptp.hBOOL (tptp.hAPP @t5935 @t2407)) (=> (forall @t1333 (=> (tptp.hBOOL (tptp.hAPP @t5935 (tptp.hAPP (tptp.hAPP @t2193 @t1238) @t590))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t897 @t1238) @t590)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t27 @t5446) @t590))) @t1346))) @t2399)))) % 6.34/6.57 (assume @p4546 (forall (@list @t696 @t2 @t5464 @t5475 @t127 @t378 @t30) (and (=> @t5953 (= @t5951 @t5950)) (=> (not @t5953) (= @t5951 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t5950) @t378) @t4356)))))) % 6.34/6.57 (assume @p4547 (forall (@list @t5954 @t325 @t127 @t30) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5873 @t5954) @t325))) % 6.34/6.57 (assume @p4548 (forall (@list @t5955 @t325 @t127 @t30) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5955 @t5894) @t325))) % 6.34/6.57 (assume @p4549 (forall (@list @t5475 @t2 @t127 @t5464 @t378 @t30) (=> @t5564 (= (tptp.hAPP @t5950 @t378) @t668)))) % 6.34/6.57 (assume @p4550 (forall (@list @t5475 @t5464 @t5405 @t5406 @t127 @t30) (= (tptp.c_Map_Omap__add @t30 @t127 @t5406 (tptp.c_Map_Omap__upds @t30 @t127 @t5405 @t5464 @t5475)) (tptp.c_Map_Omap__upds @t30 @t127 @t5410 @t5464 @t5475)))) % 6.34/6.57 (assume @p4551 (forall (@list @t5954 @t64 @t5955 @t140 @t325 @t127 @t30) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 (tptp.hAPP @t5720 @t5955) (tptp.hAPP (tptp.hAPP @t5714 @t64) @t5954)) @t5957))) % 6.34/6.57 (assume @p4552 (forall (@list @t696 @t325 @t5475 @t127 @t178 @t5464 @t30) (=> (tptp.hBOOL (tptp.hAPP @t5959 @t178)) (=> (tptp.hBOOL (tptp.hAPP @t1550 @t5646)) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5464 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t127 @t5475) @t178) @t696)) @t5958))))) % 6.34/6.57 (assume @p4553 (forall (@list @t5954 @t64 @t325 @t127 @t5955 @t140 @t30) (=> (not (tptp.hBOOL (tptp.hAPP @t3002 @t5960))) (= @t5957 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5955 @t5954)) @t140) @t5956))))) % 6.34/6.57 (assume @p4554 (forall (@list @t325 @t2587 @t5475 @t127 @t5464 @t30) (=> @t5647 (=> (tptp.hBOOL (tptp.hAPP @t5712 @t2587)) (= (tptp.c_Map_Orestrict__map @t30 @t127 @t5958 @t2587) (tptp.c_Map_Omap__upds @t30 @t127 (tptp.c_Map_Orestrict__map @t30 @t127 @t325 (tptp.hAPP @t4390 @t5501)) @t5464 @t5475)))))) % 6.34/6.57 (assume @p4555 (forall (@list @t5475 @t5464 @t325 @t127 @t30) (= (tptp.c_Map_Odom @t30 @t127 @t5958) (tptp.hAPP (tptp.hAPP @t3148 @t5952) @t4566)))) % 6.34/6.57 (assume @p4556 (forall (@list @t378 @t325 @t5475 @t127 @t5464 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t5637) @t5646)) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5963 @t5475) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4354 @t5958) @t378) (tptp.hAPP @t449 (tptp.hAPP @t5806 @t5637))))))) % 6.34/6.57 (assume @p4557 (forall (@list @t1235 @t1539 @t378 @t30) (= (tptp.c_List_Osublist @t30 (tptp.hAPP @t5708 @t1539) @t1235) (tptp.hAPP (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5059) @t5922) @t5900) @t5873)) (tptp.c_List_Osublist @t30 @t1539 (tptp.hAPP @t4866 (tptp.hAPP @t4871 @t1235))))))) % 6.34/6.57 (assume @p4558 (forall (@list @t696 @t5475 @t378 @t5464 @t30) (= (= @t5963 @t5966) (and @t5476 @t894)))) % 6.34/6.57 (assume @p4559 (forall (@list @t5587 @t5475 @t5464 @t378 @t30) (= (= @t5709 @t5972) (or (and @t5971 (= @t5709 @t5587)) (exists @t5970 (and (= @t5969 @t5475) (= @t5464 @t5968))))))) % 6.34/6.57 (assume @p4560 (forall (@list @t5464 @t378 @t5587 @t5475 @t30) (= (= @t5972 @t5709) (or (and @t5971 (= @t5587 @t5709)) (exists @t5970 (and (= @t5475 @t5969) (= @t5968 @t5464))))))) % 6.34/6.57 (assume @p4561 (forall @t5974 (=> @t5647 (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5464 (tptp.hAPP (tptp.hAPP @t5973 @t5475) @t5587)) @t5958)))) % 6.34/6.57 (assume @p4562 (forall @t5974 (=> @t5647 (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5975 @t5475) @t5958)))) % 6.34/6.57 (assume @p4563 (forall (@list @t5578 @t136 @t5568 @t35) (= (tptp.hAPP (tptp.hAPP @t5811 @t5978) @t5620) @t136))) % 6.34/6.57 (assume @p4564 (forall (@list @t5566 @t5568 @t5578 @t5980 @t136 @t35) (=> (= (tptp.hAPP @t5705 @t5980) @t5578) (=> (= @t5568 (tptp.hAPP @t5981 @t5566)) (= @t5711 @t5979))))) % 6.34/6.57 (assume @p4565 (forall (@list @t5578 @t5568 @t136 @t35) (= (tptp.hAPP (tptp.hAPP @t5976 @t5711) @t5578) (tptp.hAPP @t5705 @t5982)))) % 6.34/6.57 (assume @p4566 (forall (@list @t135 @t5578 @t136 @t5568 @t35) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5978) @t5620) @t135) (tptp.hAPP @t5977 @t5983)))) % 6.34/6.57 (assume @p4567 (forall (@list @t136 @t5578 @t5568 @t35 @t544) (=> @t5814 (= (tptp.hAPP (tptp.hAPP @t5984 @t544) @t136) (tptp.hAPP (tptp.hAPP @t5976 @t5883) @t5578))))) % 6.34/6.57 (assume @p4568 (forall (@list @t10 @t5578 @t5568 @t35) (= (tptp.hAPP @t5987 (tptp.hAPP @t5986 @t10)) (tptp.hAPP @t5985 @t10)))) % 6.34/6.57 (assume @p4569 (forall @t5636 (= (tptp.hAPP @t5619 @t5982) (tptp.hAPP @t5986 @t5635)))) % 6.34/6.57 (assume @p4570 (forall (@list @t5988 @t5578 @t5990 @t30 @t5568 @t35) (=> (= @t5620 (tptp.hAPP @t5613 @t5990)) (=> (= @t5635 (tptp.hAPP @t5613 @t5988)) (= (tptp.hAPP @t5992 (tptp.hAPP (tptp.hAPP @t5961 @t5990) @t5988)) (tptp.hAPP (tptp.hAPP @t5991 (tptp.hAPP @t5581 @t5990)) (tptp.hAPP @t5989 @t5988))))))) % 6.34/6.57 (assume @p4571 (forall @t5480 (= (tptp.hAPP @t5470 @t5993) (tptp.hAPP (tptp.hAPP @t5961 @t5478) @t5477)))) % 6.34/6.57 (assume @p4572 (forall @t5996 (and (=> @t5563 (= @t5995 (tptp.hAPP (tptp.hAPP @t5961 @t5558) @t5475))) (=> @t5564 (= @t5995 (tptp.hAPP @t5962 (tptp.c_List_Oremove1 @t30 @t378 @t5475))))))) % 6.34/6.57 (assume @p4573 (forall (@list @t140 @t5475 @t5464 @t2 @t30 @t127) (= (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5993 @t140) (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5464 (tptp.c_List_Ofoldr @t127 @t30 @t2 @t5475 @t140))))) % 6.34/6.57 (assume @p4574 (forall @t5530 (= (tptp.c_Map_Omap__of @t30 @t127 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2450) @t5464) @t5475)) (tptp.c_Map_Omap__add @t30 @t127 @t5527 @t5528)))) % 6.34/6.57 (assume @p4575 (forall (@list @t5566 @t5578 @t5568 @t35) (= (tptp.hAPP (tptp.hAPP @t5976 @t5982) @t5566) (tptp.hAPP @t5977 @t5979)))) % 6.34/6.57 (assume @p4576 (forall (@list @t48 @t5587 @t5475 @t5464 @t30) (= (= @t5994 (tptp.hAPP @t5999 @t48)) (exists (@list @t5997) (or (and (= @t5464 (tptp.hAPP @t5999 @t5997)) (= (tptp.hAPP @t5998 @t5475) @t48)) (and (= (tptp.hAPP @t5962 @t5997) @t5587) (= @t5475 (tptp.hAPP @t5998 @t48)))))))) % 6.34/6.57 (assume @p4577 (forall @t6000 (= (= @t5994 @t5975) @t5645))) % 6.34/6.57 (assume @p4578 (forall (@list @t5587 @t5464 @t5475 @t30) (= (= (tptp.hAPP @t5965 @t5464) (tptp.hAPP @t5999 @t5464)) @t5645))) % 6.34/6.57 (assume @p4579 (forall (@list @t5990 @t5578 @t5566 @t5980 @t5568 @t35) (=> (= (tptp.hAPP @t5977 @t5980) @t5566) (=> (= @t5578 (tptp.hAPP @t5981 @t5990)) (= @t5982 (tptp.hAPP (tptp.hAPP @t5976 @t5566) @t5990)))))) % 6.34/6.57 (assume @p4580 (forall @t6001 (= (tptp.hAPP @t5500 @t5994) @t5520))) % 6.34/6.57 (assume @p4581 (forall @t5636 (=> @t371 (= (tptp.hAPP @t5773 @t5982) (tptp.hAPP (tptp.hAPP @t365 @t5774) (tptp.hAPP @t5773 @t5578)))))) % 6.34/6.57 (assume @p4582 (forall @t6004 (= (tptp.hAPP @t5859 @t5982) (tptp.hAPP @t6003 (tptp.hAPP (tptp.hAPP @t5858 @t6002) @t5578))))) % 6.34/6.57 (assume @p4583 (forall (@list @t35 @t5578 @t5568) (=> @t5634 (= @t5568 @t6005)))) % 6.34/6.57 (assume @p4584 (forall @t6001 (= (= @t5994 @t5475) @t5874))) % 6.34/6.57 (assume @p4585 (forall @t6001 (= (= @t5994 @t5464) @t5971))) % 6.34/6.57 (assume @p4586 (forall @t6001 (= (= @t5994 @t5873) @t6006))) % 6.34/6.57 (assume @p4587 (forall (@list @t5464 @t30 @t5475) (= (= @t5475 @t5994) @t5874))) % 6.34/6.57 (assume @p4588 (forall (@list @t5475 @t30 @t5464) (= (= @t5464 @t5994) @t5971))) % 6.34/6.57 (assume @p4589 (forall @t5890 (= (tptp.hAPP @t5977 @t5889) @t5568))) % 6.34/6.57 (assume @p4590 (forall @t6001 (= (= @t5873 @t5994) @t6006))) % 6.34/6.57 (assume @p4591 (forall (@list @t5578 @t35) (= @t6005 @t5578))) % 6.34/6.57 (assume @p4592 (forall (@list @t378 @t2033 @t1684 @t1586 @t30) (=> @t6009 @t6008))) % 6.34/6.57 (assume @p4593 (forall @t6001 (= (tptp.hBOOL (tptp.hAPP @t5541 @t5994)) (and @t5560 @t6010 (= (tptp.hAPP (tptp.hAPP @t3462 @t5501) @t5519) @t2815))))) % 6.34/6.57 (assume @p4594 (forall (@list @t5578 @t5568 @t35 @t10) (and (=> @t6012 (= @t6011 @t5824)) (=> @t6013 (= @t6011 (tptp.hAPP @t5985 @t6002)))))) % 6.34/6.57 (assume @p4595 (forall (@list @t136 @t5578 @t5568 @t35 @t10) (and (=> @t6012 (= @t6014 (tptp.hAPP (tptp.hAPP @t5976 (tptp.hAPP (tptp.hAPP @t5880 @t10) @t136)) @t5578))) (=> @t6013 (= @t6014 (tptp.hAPP @t5977 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t5578) @t6002) @t136))))))) % 6.34/6.57 (assume @p4596 (forall (@list @t1235 @t6015 @t1539 @t30) (= (tptp.c_List_Osublist @t30 (tptp.hAPP (tptp.hAPP @t5961 @t1539) @t6015) @t1235) (tptp.hAPP (tptp.hAPP @t5961 (tptp.c_List_Osublist @t30 @t1539 @t1235)) (tptp.c_List_Osublist @t30 @t6015 (tptp.hAPP @t4866 (tptp.hAPP (tptp.hAPP @t4864 (tptp.hAPP @t4870 (tptp.hAPP @t4164 (tptp.hAPP @t5613 @t1539)))) @t1235))))))) % 6.34/6.57 (assume @p4597 (forall (@list @t696 @t378 @t1586 @t2033 @t64 @t140 @t30) (=> @t3364 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 (tptp.hAPP @t6016 @t5804)) (tptp.hAPP @t6016 @t5803))) @t5800))))) % 6.34/6.57 (assume @p4598 (forall @t6019 (=> @t5814 (= (tptp.hAPP (tptp.hAPP @t5858 @t545) @t5568) (tptp.hAPP @t6018 (tptp.hAPP @t6017 @t5889)))))) % 6.34/6.57 (assume @p4599 (forall (@list @t2033 @t696 @t5475 @t378 @t5464 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t5963) @t5966)) @t6020)) (or (and @t6021 @t894) (and @t5476 @t3400))))) % 6.34/6.57 (assume @p4600 (forall (@list @t2033 @t1684 @t1586 @t378 @t30) (=> @t6008 (=> (forall @t473 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t6022 @t472)) @t2033)))) @t6009)))) % 6.34/6.57 (assume @p4601 (forall (@list @t5464 @t2033 @t378 @t30) (=> @t3311 (=> @t6026 (tptp.hBOOL (tptp.hAPP @t6024 @t6023)))))) % 6.34/6.57 (assume @p4602 (forall @t3358 (=> @t3357 (tptp.hBOOL (tptp.hAPP @t6027 (tptp.c_List_Olistrel1 @t30 @t61)))))) % 6.34/6.57 (assume @p4603 (forall @t2036 (= @t6029 @t6028))) % 6.34/6.57 (assume @p4604 (forall @t2036 (= @t5692 @t6030))) % 6.34/6.57 (assume @p4605 (forall @t2036 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5696 (tptp.c_List_Olistrel1 @t30 @t5175)) @t6030)))) % 6.34/6.57 (assume @p4606 (forall @t2036 (tptp.hBOOL (tptp.hAPP @t5697 @t6030)))) % 6.34/6.57 (assume @p4607 (forall @t6033 (=> @t6032 (tptp.hBOOL (tptp.hAPP @t6031 @t6030))))) % 6.34/6.57 (assume @p4608 (forall @t6033 (=> @t6021 (tptp.hBOOL (tptp.hAPP @t6031 @t6020))))) % 6.34/6.57 (assume @p4609 (forall @t5286 (=> (tptp.hBOOL (tptp.hAPP @t5801 @t6030)) @t5847))) % 6.34/6.57 (assume @p4610 (forall @t5691 (=> @t6021 @t5681))) % 6.34/6.57 (assume @p4611 (forall @t5693 (not (tptp.hBOOL (tptp.hAPP @t5879 @t6020))))) % 6.34/6.57 (assume @p4612 (forall @t5693 (not (tptp.hBOOL (tptp.hAPP @t5878 @t6020))))) % 6.34/6.57 (assume @p4613 (forall (@list @t6034 @t6035 @t2033 @t5475 @t5464 @t30) (=> (or (and @t6021 (= @t6035 @t6034)) (and @t5476 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 @t6035) @t6034)) @t6020)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP (tptp.hAPP @t5639 (tptp.hAPP @t5962 @t6035)) (tptp.hAPP @t5965 @t6034))) @t6020))))) % 6.34/6.57 (assume @p4614 (forall @t5286 (= (tptp.hBOOL (tptp.hAPP @t5801 @t6029)) (tptp.hBOOL (tptp.hAPP @t5801 @t6028))))) % 6.34/6.57 (assume @p4615 (forall @t5691 (=> @t5690 @t6032))) % 6.34/6.57 (assume @p4616 (forall @t5691 (=> @t6021 @t5695))) % 6.34/6.57 (assume @p4617 (forall @t5740 (= (tptp.hBOOL (tptp.hAPP @t5738 @t6020)) (or (and @t3400 @t5476) (and @t894 @t6021))))) % 6.34/6.57 (assume @p4618 (forall (@list @t5464 @t2033 @t696 @t378 @t30) (=> @t3400 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5737 (tptp.hAPP @t5723 @t5464))) @t6020))))) % 6.34/6.57 (assume @p4619 (forall @t5050 (=> (tptp.hBOOL (tptp.hAPP @t3356 @t3343)) (=> (tptp.c_Relation_Orefl__on @t30 @t4633 @t3343) (tptp.hBOOL (tptp.hAPP @t6027 (tptp.c_List_Olistrel @t30 @t3343))))))) % 6.34/6.57 (assume @p4620 (forall (@list @t5475 @t6034 @t6035 @t5464 @t2033 @t696 @t378 @t30) (=> @t3400 (=> (= @t5464 (tptp.hAPP @t6036 (tptp.hAPP @t5708 @t6034))) (=> (= @t5475 (tptp.hAPP @t6036 (tptp.hAPP @t5723 @t6034))) @t6021))))) % 6.34/6.57 (assume @p4621 (forall @t5739 (=> @t5200 (=> @t6032 (tptp.hBOOL (tptp.hAPP @t5738 @t6030)))))) % 6.34/6.57 (assume @p4622 (forall @t5691 (= @t6021 (exists (@list @t412 @t46) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t5848 @t412)) @t2033)) @t5849 (= @t5475 (tptp.hAPP (tptp.hAPP @t5906 @t46) @t412))))))) % 6.34/6.57 (assume @p4623 (forall @t5691 (=> @t6021 (not (forall @t2509 (=> @t4068 (forall (@list @t5997 @t6037) (=> (= @t5464 (tptp.hAPP @t5998 (tptp.hAPP @t5754 @t6037))) (not (= @t5475 (tptp.hAPP @t5998 (tptp.hAPP @t5752 @t6037)))))))))))) % 6.34/6.57 (assume @p4624 (forall @t5487 (= @t6041 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5059 @t30 @t5873 (tptp.hAPP (tptp.hAPP @t6039 @t6038) @t5932)) @t5464)))) % 6.34/6.57 (assume @p4625 (forall (@list @t278 @t5568 @t35 @t544) (=> @t5814 (= (tptp.hAPP @t5881 @t278) (tptp.hAPP @t6018 (tptp.hAPP @t5736 @t6043)))))) % 6.34/6.57 (assume @p4626 (forall @t882 (= (tptp.hAPP @t6044 @t5889) @t5889))) % 6.34/6.57 (assume @p4627 (forall @t5487 (= (= @t6041 @t5873) @t5874))) % 6.34/6.57 (assume @p4628 (forall @t5863 (=> @t5862 (= @t6045 @t5889)))) % 6.34/6.57 (assume @p4629 (forall @t5861 (= (= @t6048 @t5873) (tptp.hBOOL (tptp.hAPP @t5959 @t23))))) % 6.34/6.57 (assume @p4630 (forall @t5867 (= (tptp.hAPP @t5859 @t6050) (tptp.hAPP @t6049 (tptp.hAPP (tptp.hAPP @t5858 @t313) @t5568))))) % 6.34/6.57 (assume @p4631 (forall @t5867 (= (tptp.hAPP @t6044 @t5866) (tptp.hAPP (tptp.hAPP @t5858 @t1461) @t6045)))) % 6.34/6.57 (assume @p4632 (forall @t5857 (=> (tptp.hBOOL (tptp.hAPP @t2986 @t6051)) @t5563))) % 6.34/6.57 (assume @p4633 (forall @t5487 (= (tptp.hAPP @t5500 @t6041) @t5501))) % 6.34/6.57 (assume @p4634 (forall @t5861 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t6051) @t5501)))) % 6.34/6.57 (assume @p4635 (forall @t5487 (= (tptp.hBOOL (tptp.hAPP @t5541 @t6041)) @t5560))) % 6.34/6.57 (assume @p4636 (forall @t5865 (=> @t5571 (tptp.hBOOL (tptp.hAPP @t5570 @t6052))))) % 6.34/6.57 (assume @p4637 (forall @t5867 (= (tptp.hAPP @t6044 @t6050) (tptp.hAPP (tptp.hAPP @t6042 @t313) @t5568)))) % 6.34/6.57 (assume @p4638 (forall @t5890 (= (tptp.hAPP (tptp.hAPP @t6042 @t214) @t5568) @t5568))) % 6.34/6.57 (assume @p4639 (forall @t5868 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5583) @t10) @t5582) (tptp.hAPP (tptp.hAPP @t5580 @t6045) (tptp.hAPP (tptp.hAPP @t6046 @t10) @t5578))))) % 6.34/6.57 (assume @p4640 (forall @t5872 (= (tptp.hAPP @t6047 @t5478) (tptp.hAPP @t5470 (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t127) @t23) @t5464))))) % 6.34/6.57 (assume @p4641 (forall @t5869 (= (tptp.hAPP @t5619 @t6045) (tptp.hAPP @t6053 @t10)))) % 6.34/6.57 (assume @p4642 (forall @t5890 (= (tptp.hAPP @t5619 @t6055) @t5620))) % 6.34/6.57 (assume @p4643 (forall (@list @t5464 @t30 @t325 @t23) (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 (tptp.hAPP @t5500 (tptp.hAPP (tptp.hAPP @t6046 @t325) @t5464))) @t6051))))) % 6.34/6.57 (assume @p4644 (forall @t5718 (= (tptp.hAPP (tptp.hAPP @t6042 @t933) @t5711) @t5568))) % 6.34/6.57 (assume @p4645 (forall @t5871 (= (tptp.hAPP @t6056 @t5711) @t6045))) % 6.34/6.57 (assume @p4646 (forall (@list @t5578 @t135 @t5568 @t10 @t35) (=> (= @t6045 @t5983) (= @t5824 @t135)))) % 6.34/6.57 (assume @p4647 (forall @t6000 (= (= @t5994 @t5587) (and (= @t5464 (tptp.hAPP (tptp.hAPP @t5852 @t5637) @t5587)) (= @t5475 (tptp.hAPP (tptp.hAPP @t6046 @t5637) @t5587)))))) % 6.34/6.57 (assume @p4648 (forall @t5869 (= (tptp.hAPP @t6003 @t6045) @t5568))) % 6.34/6.57 (assume @p4649 (forall @t6004 (= (tptp.hAPP @t6044 @t5982) (tptp.hAPP (tptp.hAPP @t5976 @t6045) (tptp.hAPP (tptp.hAPP @t6042 @t6002) @t5578))))) % 6.34/6.57 (assume @p4650 (forall @t5893 (= (tptp.hAPP @t6047 @t5709) (tptp.c_Nat_Onat_Onat__case @t5059 @t5709 (tptp.hAPP (tptp.hAPP @t5891 @t6046) @t5464) @t23)))) % 6.34/6.57 (assume @p4651 (forall @t5837 (and (=> @t342 (= @t6057 @t5711)) (=> @t480 (= @t6057 (tptp.hAPP (tptp.hAPP @t6042 @t1604) @t5568)))))) % 6.34/6.57 (assume @p4652 (forall (@list @t5568 @t35 @t544 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t6058) @t5620)) (= (tptp.hAPP (tptp.hAPP @t5811 @t6045) @t544) (tptp.hAPP @t5812 @t6058))))) % 6.34/6.57 (assume @p4653 (forall (@list @t6059 @t6062 @t6060 @t6061 @t30) (= (= (tptp.hAPP (tptp.hAPP @t5961 @t6061) @t6060) (tptp.hAPP (tptp.hAPP @t5961 @t6062) @t6059)) (and (=> @t6065 (and (= @t6061 (tptp.hAPP (tptp.hAPP @t5852 @t6064) @t6062)) (= @t6060 (tptp.hAPP (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t6046 @t6064) @t6062)) @t6059)))) (=> (not @t6065) (and (= (tptp.hAPP (tptp.hAPP @t5852 @t6063) @t6061) @t6062) (= (tptp.hAPP (tptp.hAPP @t5961 (tptp.hAPP (tptp.hAPP @t6046 @t6063) @t6061)) @t6060) @t6059))))))) % 6.34/6.57 (assume @p4654 (forall @t6019 (=> @t5814 (= @t6066 @t6052)))) % 6.34/6.57 (assume @p4655 (forall (@list @t5568 @t136 @t30 @t35) (and (= (tptp.hAPP @t6054 @t5889) @t5889) (= (tptp.hAPP @t6040 (tptp.hAPP @t6067 @t5568)) (tptp.hAPP (tptp.hAPP @t5961 @t5568) (tptp.hAPP @t6067 @t5873)))))) % 6.34/6.57 (assume @p4656 (forall @t5844 (and (=> @t1831 (= @t6068 @t5711)) (=> @t5843 (= @t6068 (tptp.hAPP (tptp.hAPP @t6042 @t1620) @t5568)))))) % 6.34/6.57 (assume @p4657 (forall (@list @t5568 @t35 @t546 @t544) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t554) @t5620)) (= (tptp.hAPP (tptp.hAPP @t5858 @t554) @t5568) (tptp.hAPP @t6018 (tptp.hAPP (tptp.hAPP @t5858 @t546) @t6052)))))) % 6.34/6.57 (assume @p4658 (forall @t5890 (=> @t6069 (= @t6055 @t5568)))) % 6.34/6.57 (assume @p4659 (forall @t6070 (= (tptp.hAPP @t5581 (tptp.hAPP (tptp.hAPP @t5961 @t5578) @t5566)) (tptp.hAPP (tptp.hAPP @t5991 (tptp.hAPP (tptp.hAPP @t5580 (tptp.hAPP (tptp.hAPP @t5858 @t5617) @t5568)) @t5578)) (tptp.hAPP (tptp.hAPP @t5580 (tptp.hAPP (tptp.hAPP @t6042 @t5617) @t5568)) @t5566))))) % 6.34/6.57 (assume @p4660 (forall @t6070 (= (tptp.hAPP @t5992 @t5566) (tptp.hAPP (tptp.hAPP @t5991 (tptp.hAPP @t5581 (tptp.hAPP (tptp.hAPP @t5852 @t5620) @t5566))) (tptp.hAPP @t5989 (tptp.hAPP (tptp.hAPP @t6046 @t5620) @t5566)))))) % 6.34/6.57 (assume @p4661 (forall @t6019 (=> @t5814 (= @t5568 (tptp.hAPP @t6018 @t6066))))) % 6.34/6.57 (assume @p4662 (forall @t6074 (=> @t6012 (= (tptp.hAPP @t6003 (tptp.hAPP (tptp.hAPP @t5704 @t6073) @t5889)) @t6071)))) % 6.34/6.57 (assume @p4663 (forall @t6077 (=> @t6076 (=> @t6012 (= @t6073 @t5824))))) % 6.34/6.57 (assume @p4664 (forall @t6081 @t6080)) % 6.34/6.57 (assume @p4665 (forall @t6081 (and (=> @t6075 (= @t6079 (tptp.hAPP @t6072 @t5578))) @t6080))) % 6.34/6.57 (assume @p4666 (forall @t5718 (= (tptp.hAPP @t6072 @t5711) @t136))) % 6.34/6.57 (assume @p4667 (forall @t6084 (=> @t5875 (= (tptp.hAPP (tptp.c_List_Ohd @t127) @t5482) (tptp.hAPP @t2 @t6083))))) % 6.34/6.57 (assume @p4668 (forall @t5876 (=> @t5875 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 @t6083) @t5501))))) % 6.34/6.57 (assume @p4669 (forall @t6085 (=> @t6076 (= @t6078 (tptp.hAPP @t5812 @t214))))) % 6.34/6.57 (assume @p4670 (forall @t6085 (=> @t6076 (= @t6055 (tptp.hAPP @t6088 (tptp.hAPP @t6086 @t5889)))))) % 6.34/6.57 (assume @p4671 (forall @t6077 (=> @t6076 (= (tptp.hAPP @t6072 @t6091) (tptp.hAPP @t5812 @t6089))))) % 6.34/6.57 (assume @p4672 (forall @t5869 (= (tptp.hAPP @t6056 @t5568) @t6092))) % 6.34/6.57 (assume @p4673 (forall @t5869 (= @t6092 @t6093))) % 6.34/6.57 (assume @p4674 (forall @t5869 (= @t6093 @t6092))) % 6.34/6.57 (assume @p4675 (forall @t447 (= (tptp.c_List_Otl @t35 @t5889) @t5889))) % 6.34/6.57 (assume @p4676 (forall @t5861 (= (= @t6095 @t5873) @t5874))) % 6.34/6.57 (assume @p4677 (forall @t5869 (= @t6096 (tptp.c_List_Otl @t35 @t6071)))) % 6.34/6.57 (assume @p4678 (forall @t5861 (= (tptp.hAPP @t5500 @t6095) @t5501))) % 6.34/6.57 (assume @p4679 (forall @t5861 (= (tptp.hBOOL (tptp.hAPP @t5541 @t6095)) @t5560))) % 6.34/6.57 (assume @p4680 (forall @t5890 (=> @t5571 (tptp.hBOOL (tptp.hAPP @t5570 @t6087))))) % 6.34/6.57 (assume @p4681 (forall (@list @t5568 @t10 @t264 @t35) (= (tptp.hAPP (tptp.c_List_Orotate @t35 @t264) @t6091) (tptp.hAPP (tptp.c_List_Orotate @t35 @t315) @t5568)))) % 6.34/6.57 (assume @p4682 (forall @t5872 (= (tptp.hAPP @t6094 @t5478) (tptp.hAPP @t5470 (tptp.hAPP (tptp.c_List_Orotate @t127 @t23) @t5464))))) % 6.34/6.57 (assume @p4683 (forall @t5896 (= (tptp.hAPP @t5470 (tptp.c_List_Otl @t127 @t5464)) (tptp.c_List_Otl @t30 @t5478)))) % 6.34/6.57 (assume @p4684 (forall @t5869 (= (tptp.hAPP @t5619 @t6091) @t5620))) % 6.34/6.57 (assume @p4685 (forall @t5869 (= @t6091 (tptp.hAPP (tptp.c_List_Orotate @t35 @t6089) @t5568)))) % 6.34/6.57 (assume @p4686 (forall @t5718 (= (tptp.c_List_Otl @t35 @t5711) @t5568))) % 6.34/6.57 (assume @p4687 (forall @t6081 (=> @t6076 (= (tptp.c_List_Otl @t35 @t5982) (tptp.hAPP @t6088 @t5578))))) % 6.34/6.57 (assume @p4688 (forall @t5869 (= @t6097 (tptp.hAPP @t6090 @t6055)))) % 6.34/6.57 (assume @p4689 (forall @t5869 (= (tptp.hAPP (tptp.c_List_Orotate @t35 @t36) @t5568) @t6097))) % 6.34/6.57 (assume @p4690 (forall @t619 (= @t6094 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t5059 @t5059) @t23) @t6040)))) % 6.34/6.57 (assume @p4691 (forall @t6001 (= (tptp.c_List_Otl @t30 @t5994) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5059 @t30 (tptp.c_List_Otl @t30 @t5475) (tptp.hAPP (tptp.c_COMBK @t5745 @t30) (tptp.hAPP @t6038 @t5475))) @t5464)))) % 6.34/6.57 (assume @p4692 (forall @t1809 (= (tptp.c_List_Orotate @t30 @t214) @t5488))) % 6.34/6.57 (assume @p4693 (forall @t622 (= (tptp.c_List_Orotate @t30 @t340) (tptp.hAPP (tptp.c_Fun_Ocomp @t5059 @t5059 @t5059 (tptp.c_List_Orotate @t30 @t325)) @t6094)))) % 6.34/6.57 (assume @p4694 (forall @t6074 (=> (= @t6089 @t214) @t6098))) % 6.34/6.57 (assume @p4695 (forall @t5863 (=> @t6069 @t6098))) % 6.34/6.57 (assume @p4696 (forall @t5890 (= (tptp.hAPP @t5619 @t6087) @t6099))) % 6.34/6.57 (assume @p4697 (forall @t5869 (= (tptp.c_List_Otl @t35 @t5860) (tptp.hAPP @t5924 @t6087)))) % 6.34/6.57 (assume @p4698 (forall @t6077 (=> @t6076 (= @t6071 (tptp.hAPP @t6086 @t6096))))) % 6.34/6.57 (assume @p4699 (forall @t5869 (= @t6091 (tptp.hAPP (tptp.hAPP @t5976 (tptp.hAPP (tptp.hAPP @t6042 @t6089) @t5568)) (tptp.hAPP (tptp.hAPP @t5858 @t6089) @t5568))))) % 6.34/6.57 (assume @p4700 (forall @t5487 (=> @t4823 (=> @t5875 (= (tptp.hAPP @t4746 @t5501) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t776 @t6083) (tptp.c_List_Otl @t30 @t5464))))))) % 6.34/6.57 (assume @p4701 (forall (@list @t5471 @t140 @t281 @t30) (= (tptp.c_List_Olist_Olist__size @t30 @t281 @t5721) (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t429 (tptp.c_List_Olist_Olist__size @t30 @t281 @t5471))) @t300)))) % 6.34/6.57 (assume @p4702 (forall (@list @t5475 @t5464 @t140 @t2 @t127 @t30) (= (tptp.hAPP @t6100 @t5993) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 @t2 @t6101) @t5475)))) % 6.34/6.57 (assume @p4703 (forall (@list @t5464 @t378 @t140 @t2 @t127 @t30) (= (tptp.hAPP @t6100 @t5716) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 @t2 (tptp.hAPP @t2416 @t378)) @t5464)))) % 6.34/6.57 (assume @p4704 (forall (@list @t5464 @t1 @t127 @t2 @t30) (= (tptp.c_List_Olist_Olist__size @t30 @t2 @t5506) (tptp.c_List_Olist_Olist__size @t127 (tptp.hAPP (tptp.c_Fun_Ocomp @t30 tptp.tc_Nat_Onat @t127 @t2) @t1) @t5464)))) % 6.34/6.57 (assume @p4705 (forall (@list @t5464 @t2 @t465 @t140 @t1 @t127 @t30) (= (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 @t1 @t140) @t5489) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t465 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t4666 @t3939) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1237 (tptp.tc_fun @t4666 @t3939) @t30) @t3281) @t1)) @t2) @t140) @t5464)))) % 6.34/6.57 (assume @p4706 (forall (@list @t140 @t5464 @t30) (=> (tptp.class_Groups_Oab__semigroup__add @t30) (= (tptp.c_List_Ofoldr @t30 @t30 @t354 @t5464 @t140) @t6102)))) % 6.34/6.57 (assume @p4707 (forall (@list @t5587 @t378 @t30) (=> @t5779 (= (tptp.hAPP @t1022 (tptp.hAPP @t6103 @t5587)) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t354 @t378) @t5587))))) % 6.34/6.57 (assume @p4708 (forall @t6104 (=> (tptp.class_Groups_Osemigroup__add @t30) (= (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t354 @t1023) @t5587) (tptp.hAPP @t1022 (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t354 @t696) @t5587)))))) % 6.34/6.57 (assume @p4709 (forall (@list @t5794 @t23 @t325) (=> @t936 (tptp.hBOOL (tptp.hAPP @t935 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t301 @t23) @t5794)))))) % 6.34/6.57 (assume @p4710 (forall @t4704 (= (tptp.hAPP @t6100 @t5894) @t140))) % 6.34/6.57 (assume @p4711 (forall @t1809 (=> @t5779 (= @t5775 @t6103)))) % 6.34/6.57 (assume @p4712 (forall @t5487 (=> @t5779 (= (tptp.hAPP @t6103 @t5464) @t6105)))) % 6.34/6.57 (assume @p4713 (forall @t6106 (=> @t5779 (= @t6102 (tptp.hAPP @t355 @t6105))))) % 6.34/6.57 (assume @p4714 (forall (@list @t5794 @t325) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t301 @t325) @t5794) @t214) (and @t339 @t5797)))) % 6.34/6.57 (assume @p4715 (forall @t434 (= (tptp.c_List_Olist_Olist__size @t30 @t281 @t5873) @t214))) % 6.34/6.57 (assume @p4716 (forall (@list @t5464 @t696 @t2 @t127 @t30) (=> @t4888 (= (tptp.hAPP (tptp.hAPP @t5123 @t696) @t5501) (tptp.hAPP (tptp.c_List_Ofoldl @t127 @t30 (tptp.hAPP @t3746 @t2) @t696) @t5464))))) % 6.34/6.57 (assume @p4717 (forall @t5487 (=> @t3941 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t30 @t5501) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t3155 @t2847) @t5464))))) % 6.34/6.57 (assume @p4718 (forall @t5487 (=> @t3941 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t30 @t5501) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t3486 @t4641) @t5464))))) % 6.34/6.57 (assume @p4719 (forall @t5565 (=> @t3204 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t30 @t5710) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t3155 @t378) @t5464))))) % 6.34/6.57 (assume @p4720 (forall @t5565 (=> @t3204 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t30 @t5710) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t30 @t3486 @t378) @t5464))))) % 6.34/6.57 (assume @p4721 (forall @t5565 (=> @t1228 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t30 @t5710) @t6107)))) % 6.34/6.57 (assume @p4722 (forall @t5565 (=> @t1228 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t30 @t5710) @t6108)))) % 6.34/6.57 (assume @p4723 (forall @t5565 (=> @t1228 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t30 @t2520 @t5710) @t6107)))) % 6.34/6.57 (assume @p4724 (forall @t5565 (=> @t1228 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t30 @t2644 @t5710) @t6108)))) % 6.34/6.57 (assume @p4725 (forall @t6109 (=> @t3941 (= (tptp.hAPP (tptp.hAPP @t3935 @t5503) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 (tptp.hAPP @t4400 (tptp.hAPP (tptp.hAPP @t3765 @t3155) @t2)) @t2847) @t5464))))) % 6.34/6.57 (assume @p4726 (forall @t6109 (=> @t3941 (= (tptp.hAPP (tptp.hAPP @t5253 @t5503) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 (tptp.hAPP @t4400 (tptp.hAPP (tptp.hAPP @t3765 @t3486) @t2)) @t4641) @t5464))))) % 6.34/6.57 (assume @p4727 (forall @t6112 (=> @t5563 (=> (tptp.hBOOL (tptp.hAPP @t6111 @t668)) (tptp.hBOOL (tptp.hAPP @t6111 @t6110)))))) % 6.34/6.57 (assume @p4728 (forall @t6112 (=> @t5563 (=> (tptp.hBOOL (tptp.hAPP @t1524 @t668)) (tptp.hBOOL (tptp.hAPP @t1524 @t6110)))))) % 6.34/6.57 (assume @p4729 (forall (@list @t6034 @t5538 @t325 @t127 @t30) (= (tptp.c_Map_Omap__upds @t30 @t127 @t325 @t5538 @t6034) (tptp.hAPP (tptp.c_List_Ofoldl @t5425 @t2450 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6116 (tptp.tc_fun @t2450 @t5425) @t5425) (tptp.c_Product__Type_Oprod_Oprod__case @t30 @t127 @t5425)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5425 @t5430 @t6116) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6115 (tptp.tc_fun @t5430 @t6116) @t5425) (tptp.c_COMBC @t30 @t5430 @t6113)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t30 @t5426) @t6115 @t5425) (tptp.hAPP (tptp.c_COMBB @t5426 @t6114 @t30) (tptp.c_COMBB @t4351 @t5425 @t127))) @t4354))) @t449)) @t325) (tptp.hAPP (tptp.hAPP @t5575 @t5538) @t6034))))) % 6.34/6.57 (assume @p4730 (forall (@list @t5794 @t23) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3334 @t23) @t5796)) (tptp.hBOOL (tptp.hAPP @t1146 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t301 @t214) @t5794)))))) % 6.34/6.57 (assume @p4731 (forall @t6117 (= @t6110 (tptp.hAPP (tptp.hAPP @t301 (tptp.hAPP @t5798 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t30 tptp.tc_Nat_Onat) @t2) @t5464))) @t5637)))) % 6.34/6.57 (assume @p4732 (forall @t4826 (=> @t4790 (tptp.hBOOL (tptp.hAPP @t5697 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t5059 @t5059) @t6118) (tptp.hAPP (tptp.c_COMBK @t5449 @t5059) @t6118))))))) % 6.34/6.57 (assume @p4733 (forall @t5693 (=> @t6119 @t6026))) % 6.34/6.57 (assume @p4734 (forall @t2602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5744 @t5873) @t6118)))) % 6.34/6.57 (assume @p4735 (forall @t3474 (=> @t4089 (tptp.c_Relation_Orefl__on @t5059 @t6118 @t5689)))) % 6.34/6.57 (assume @p4736 (forall @t3474 (=> @t3389 (tptp.c_Equiv__Relations_Oequiv @t5059 @t6118 @t5689)))) % 6.34/6.57 (assume @p4737 (forall @t2504 (=> @t2503 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t5449) @t6118) (tptp.c_List_Olists @t30 @t1473)))))) % 6.34/6.57 (assume @p4738 (forall @t1809 (= (tptp.c_List_Olists @t30 @t4633) @t5450))) % 6.34/6.57 (assume @p4739 (forall (@list @t1235 @t5475 @t5464 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5744 @t5994) @t6118)) (and @t6120 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5744 @t5475) @t6118)))))) % 6.34/6.57 (assume @p4740 (forall (@list @t1235 @t5464 @t378 @t30) (= (tptp.hBOOL (tptp.hAPP @t6024 @t6118)) (and @t2987 @t6120)))) % 6.34/6.57 (assume @p4741 (forall @t6121 (= @t6120 (forall @t8 (=> @t5828 @t3020))))) % 6.34/6.57 (assume @p4742 (forall @t2602 (= @t6118 (tptp.hAPP @t5678 @t5676)))) % 6.34/6.57 (assume @p4743 (forall @t1809 (= (tptp.c_List_Olists @t30 @t2815) @t5930))) % 6.34/6.57 (assume @p4744 (forall @t5693 (=> @t6026 @t6119))) % 6.34/6.57 (assume @p4745 (forall (@list @t2033 @t378 @t30 @t696) (=> (exists (@list @t2400 @t1470) (= @t696 (tptp.hAPP (tptp.hAPP @t5701 @t2400) @t1470))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5698 (tptp.hAPP @t6007 @t696))) @t5800))))) % 6.34/6.57 (assume @p4746 (forall (@list @t2033 @t696 @t30) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t5877 @t696)) @t5800)) (exists (@list @t472 @t4) (= @t696 (tptp.hAPP @t6122 @t4)))))) % 6.34/6.57 (assume @p4747 (forall (@list @t136 @t322 @t35 @t5568) (=> @t6076 (and (=> @t6127 (= @t6126 @t136)) (=> @t6128 (= @t6126 @t6123)))))) % 6.34/6.57 (assume @p4748 (forall (@list @t1 @t2 @t5464 @t30 @t127) (=> (and (tptp.class_Groups_Omonoid__add @t127) @t4493) (=> (forall @t8 (=> @t5828 @t1205)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1204 @t5785) (tptp.hAPP @t5784 (tptp.hAPP (tptp.hAPP @t5451 @t1) @t5464)))))))) % 6.34/6.57 (assume @p4749 (forall @t5717 (and @t6131 @t6130))) % 6.34/6.57 (assume @p4750 (forall @t5717 @t6130)) % 6.34/6.57 (assume @p4751 (forall @t5717 @t6131)) % 6.34/6.57 (assume @p4752 (forall @t6137 (and @t6136 @t6135))) % 6.34/6.57 (assume @p4753 (forall @t6137 @t6135)) % 6.34/6.57 (assume @p4754 (forall @t6137 @t6136)) % 6.34/6.57 (assume @p4755 (forall @t6084 (=> @t5875 (= (tptp.c_List_Olast @t127 @t5482) (tptp.hAPP @t2 (tptp.c_List_Olast @t30 @t5464)))))) % 6.34/6.57 (assume @p4756 (forall (@list @t30 @t5955) (=> (not (= @t5955 @t5873)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2788 (tptp.c_List_Olast @t30 @t5955)) @t5960))))) % 6.34/6.57 (assume @p4757 (forall @t5572 (= (tptp.c_List_Olast @t35 @t6138) @t136))) % 6.34/6.57 (assume @p4758 (forall @t6074 (=> @t6012 (= (tptp.c_List_Olast @t35 @t6045) @t6123)))) % 6.34/6.57 (assume @p4759 (forall @t6085 (=> @t6076 (= @t6123 (tptp.hAPP @t5812 @t6099))))) % 6.34/6.57 (assume @p4760 (forall (@list @t696 @t2033 @t30) (=> @t3303 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t6139 @t696)) @t5800)))))) % 6.34/6.57 (assume @p4761 (forall @t5292 (=> (forall @t2406 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t6022 @t2400)) @t2033)) (= @t472 @t2400) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.hAPP @t3061 @t2400) @t472)) @t2033)))) (or @t5802 @t894 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5641 (tptp.hAPP @t6139 @t378)) @t5800)))))) % 6.34/6.57 (assume @p4762 (forall @t2824 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5744 @t140) @t6118)) (or (= @t140 @t5873) (exists (@list @t472 @t6140) (and (= @t140 (tptp.hAPP @t6122 @t6140)) @t4522 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5744 @t6140) @t6118)))))))) % 6.34/6.57 (assume @p4763 (forall (@list @t1 @t2 @t5464 @t30) (=> (forall @t8 (=> @t5828 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t6110) (tptp.c_List_Olist_Olist__size @t30 @t1 @t5464)))))) % 6.34/6.57 (assume @p4764 (forall @t6074 (=> (tptp.hBOOL (tptp.hAPP @t1139 @t5620)) (= (tptp.c_List_Obutlast @t35 @t5860) @t5925)))) % 6.34/6.57 (assume @p4765 (forall (@list @t5578 @t5568 @t35 @t322) (=> (tptp.hBOOL (tptp.hAPP @t1158 @t5620)) (=> (tptp.hBOOL (tptp.hAPP @t1158 @t5635)) (=> (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t1617 @t322)) (= (tptp.hAPP @t5812 @t1238) (tptp.hAPP @t5985 @t1238)))) (= (tptp.hAPP @t6141 @t5568) (tptp.hAPP @t6141 @t5578))))))) % 6.34/6.57 (assume @p4766 (forall @t5896 (= (tptp.hAPP @t5470 (tptp.c_List_Obutlast @t127 @t5464)) (tptp.c_List_Obutlast @t30 @t5478)))) % 6.34/6.57 (assume @p4767 (forall @t6137 (and (=> @t6133 (= @t6142 @t6143)) (=> @t6134 (= @t6142 (tptp.hAPP @t5977 (tptp.c_List_Obutlast @t35 @t5578))))))) % 6.34/6.57 (assume @p4768 (forall @t5717 (and (=> @t6075 (= @t6144 @t5889)) (=> @t6076 (= @t6144 (tptp.hAPP @t5705 @t6143)))))) % 6.34/6.57 (assume @p4769 (forall @t5565 (=> @t6145 @t5563))) % 6.34/6.57 (assume @p4770 (forall @t6085 (=> @t6076 (=> @t5571 (tptp.hBOOL (tptp.hAPP @t5570 @t6143)))))) % 6.34/6.57 (assume @p4771 (forall @t447 (= (tptp.c_List_Obutlast @t35 @t5889) @t5889))) % 6.34/6.57 (assume @p4772 (forall @t5869 (= @t6147 @t6146))) % 6.34/6.57 (assume @p4773 (forall @t5869 (= @t6146 @t6147))) % 6.34/6.57 (assume @p4774 (forall @t5996 (=> (or @t6145 (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5500 @t6148)))) (tptp.hBOOL (tptp.hAPP @t2986 (tptp.hAPP @t5500 (tptp.c_List_Obutlast @t30 @t5994))))))) % 6.34/6.57 (assume @p4775 (forall @t5572 (= (tptp.c_List_Obutlast @t35 @t6138) @t5568))) % 6.34/6.57 (assume @p4776 (forall @t6074 (=> @t6012 (= (tptp.hAPP @t5859 @t6143) @t5860)))) % 6.34/6.57 (assume @p4777 (forall @t5890 (= (tptp.hAPP @t5619 @t6143) @t6099))) % 6.34/6.57 (assume @p4778 (forall @t5890 (= @t6143 (tptp.hAPP (tptp.hAPP @t5858 @t6099) @t5568)))) % 6.34/6.57 (assume @p4779 (forall (@list @t136 @t5568 @t35 @t322) (and (=> @t6127 (= @t6149 @t6143)) (=> @t6128 (= @t6149 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t6143) @t322) @t136)))))) % 6.34/6.57 (assume @p4780 (forall @t6085 (=> @t6076 (= (tptp.hAPP (tptp.hAPP @t5976 @t6143) (tptp.hAPP (tptp.hAPP @t5704 @t6123) @t5889)) @t5568)))) % 6.34/6.57 (assume @p4781 (forall (@list @t5475 @t378 @t5464 @t30) (= (= @t5963 @t5475) (and (not @t5971) (= @t6148 @t5464) (= (tptp.c_List_Olast @t30 @t5475) @t378))))) % 6.34/6.57 (assume @p4782 (forall (@list @t6150 @t127 @t5464 @t30) (= (tptp.hAPP (tptp.hAPP @t2621 @t5638) (tptp.c_List_Ofoldr @t5453 tptp.tc_Nat_Onat (tptp.hAPP @t6152 @t5611) @t6150 @t214)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2621 @t5637) (tptp.c_List_Ofoldr @t5453 tptp.tc_Nat_Onat (tptp.hAPP @t6152 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5453 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t6151 @t1459) @t5611)) @t300)) (tptp.hAPP (tptp.c_List_Ofilter @t5453 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5453) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5453 @t5453 tptp.tc_HOL_Obool) tptp.c_fequal) @t5894))) @t6150) @t214)))))) % 6.34/6.57 (assume @p4783 (forall @t6159 (=> @t6158 (= (tptp.hAPP (tptp.hAPP @t3148 @t6156) @t6154) @t5501)))) % 6.34/6.57 (assume @p4784 (forall @t6163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t6162) @t5637)))) % 6.34/6.57 (assume @p4785 (forall @t6163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2372 @t6164) @t5501)))) % 6.34/6.57 (assume @p4786 (forall @t4903 (= (tptp.hAPP @t6160 @t5873) @t5873))) % 6.34/6.57 (assume @p4787 (forall @t6163 (= (= @t6161 @t5873) (forall @t8 (=> @t5828 @t4911))))) % 6.34/6.57 (assume @p4788 (forall @t6163 (= (= @t6161 @t5464) @t5829))) % 6.34/6.57 (assume @p4789 (forall (@list @t5464 @t2 @t30 @t378 @t27 @t127) (=> @t5626 (=> @t6165 (= (tptp.hAPP @t6160 @t5625) @t6161))))) % 6.34/6.57 (assume @p4790 (forall @t5830 (=> @t5560 (tptp.hBOOL (tptp.hAPP @t5541 @t6161))))) % 6.34/6.57 (assume @p4791 (forall (@list @t5464 @t378 @t21 @t30) (= (tptp.hAPP @t6166 @t5558) (tptp.c_List_Oremove1 @t30 @t378 @t6167)))) % 6.34/6.57 (assume @p4792 (forall @t6168 (=> @t6165 (= (tptp.c_List_Oremove1 @t30 @t378 @t6161) @t6161)))) % 6.34/6.57 (assume @p4793 (forall (@list @t5464 @t21 @t27 @t30) (= (tptp.hAPP @t6160 @t6167) (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t2773 @t21)) @t27)) @t5464)))) % 6.34/6.57 (assume @p4794 (forall @t6163 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t5059 @t5059) @t6157) @t6161))) % 6.34/6.57 (assume @p4795 (forall @t6163 (= (tptp.hAPP (tptp.hAPP @t301 @t6162) (tptp.hAPP @t5613 (tptp.hAPP (tptp.c_List_Ofilter @t30 @t4901) @t5464))) @t5637))) % 6.34/6.57 (assume @p4796 (forall @t6168 (and (=> @t2750 (= @t6169 (tptp.hAPP @t5708 @t6161))) (=> @t6165 (= @t6169 @t6161))))) % 6.34/6.57 (assume @p4797 (forall (@list @t5475 @t5464 @t27 @t30) (= (tptp.hAPP @t6160 @t5994) (tptp.hAPP (tptp.hAPP @t5961 @t6161) (tptp.hAPP @t6160 @t5475))))) % 6.34/6.57 (assume @p4798 (forall @t6172 (= (tptp.hAPP @t5613 @t6171) (tptp.hAPP @t5611 @t6170)))) % 6.34/6.57 (assume @p4799 (forall @t6163 (= @t6164 (tptp.hAPP @t4876 (tptp.hAPP (tptp.hAPP @t4344 (tptp.hAPP @t2773 (tptp.hAPP @t3030 @t5501))) @t27))))) % 6.34/6.57 (assume @p4800 (forall @t6117 (= (tptp.c_List_Opartition @t30 @t2 @t5464) (tptp.hAPP (tptp.hAPP @t5639 (tptp.hAPP (tptp.c_List_Ofilter @t30 @t2) @t5464)) (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP @t6173 @t2)) @t5464))))) % 6.34/6.57 (assume @p4801 (forall @t6172 (= @t6171 (tptp.hAPP @t5470 @t6170)))) % 6.34/6.57 (assume @p4802 (forall @t6163 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t5059 @t5059) @t6157) (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP @t6173 @t27)) @t5464)))) % 6.34/6.57 (assume @p4803 (forall (@list @t27 @t5464 @t378 @t30) (=> @t5563 (=> @t6165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t474 @t6162) @t5637)))))) % 6.34/6.57 (assume @p4804 (forall @t6174 (= (tptp.hAPP @t5557 @t3397) (tptp.hAPP @t5500 (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP @t4900 (tptp.hAPP @t2781 @t696))) @t5464))))) % 6.34/6.57 (assume @p4805 (forall @t6159 (=> @t6158 (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 @t6156)) @t1059)) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 @t6154)) @t4911)))))) % 6.34/6.57 (assume @p4806 (forall @t4903 (= (tptp.c_List_Opartition @t30 @t27 @t5873) @t5919))) % 6.34/6.57 (assume @p4807 (forall @t5789 (=> @t5560 (= (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP @t3030 (tptp.hAPP @t5500 @t6175))) @t5464) @t6175)))) % 6.34/6.57 (assume @p4808 (forall (@list @t5464 @t378 @t27 @t30) (= (tptp.c_List_Opartition @t30 @t27 @t5709) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t5059 @t5059 @t5062) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5059 @t5653 @t5653) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6177 (tptp.tc_fun @t5653 @t5653) @t5059) (tptp.c_COMBS @t5059 @t5062 @t5062)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5653 @t6177 @t5059) (tptp.hAPP (tptp.c_COMBB @t5062 @t6176 @t5059) (tptp.hAPP (tptp.c_If @t5062) @t2746))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5059 @t5653 @t5059) @t5639) @t5708)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5059 @t5745 @t5653) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5653 (tptp.tc_fun @t5745 @t5653) @t5059) (tptp.c_COMBB @t5059 @t5062 @t5059)) @t5639)) @t5708))) @t6157)))) % 6.34/6.57 (assume @p4809 (forall @t6179 (= (tptp.hAPP @t5613 (tptp.hAPP @t6178 @t5464)) (tptp.hAPP @t3702 (tptp.hAPP @t4866 (tptp.hAPP @t5756 (tptp.hAPP (tptp.hAPP @t5838 @t1615) @t5808))))))) % 6.34/6.57 (assume @p4810 (forall @t5896 (= @t6180 (tptp.hAPP (tptp.hAPP @t5469 (tptp.hAPP (tptp.c_Fun_Ocomp @t2717 @t30 @t127 (tptp.c_Option_Othe @t30)) @t2)) (tptp.hAPP (tptp.c_List_Ofilter @t127 (tptp.hAPP @t4928 (tptp.hAPP (tptp.hAPP @t4981 (tptp.hAPP @t4980 @t2)) @t433))) @t5464))))) % 6.34/6.57 (assume @p4811 (forall @t5487 (= (tptp.c_List_Ofoldr @t5059 tptp.tc_Nat_Onat @t6185 @t6184 @t214) (tptp.hAPP @t6183 (tptp.hAPP @t6181 @t5464))))) % 6.34/6.57 (assume @p4812 (forall (@list @t27 @t628 @t327 @t5464 @t30 @t127) (=> (= @t5532 @t5610) (=> (tptp.hBOOL (tptp.hAPP @t487 @t628)) (= (tptp.hAPP (tptp.c_Map_Omap__of @t127 @t30 (tptp.hAPP (tptp.c_List_Ofilter @t2687 @t5066) @t5464)) @t327) @t5610))))) % 6.34/6.57 (assume @p4813 (forall @t5505 (= (tptp.c_List_Otranspose @t30 @t6187) (tptp.hAPP @t6186 (tptp.c_List_Otranspose @t127 @t5464))))) % 6.34/6.57 (assume @p4814 (forall (@list @t6188 @t35) (= (tptp.c_List_Otranspose @t35 (tptp.hAPP (tptp.hAPP @t6189 @t5889) @t6188)) (tptp.c_List_Otranspose @t35 @t6188)))) % 6.34/6.57 (assume @p4815 (forall @t5487 (= (= @t6184 @t6194) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6193 @t6192)) @t6190))))) % 6.34/6.57 (assume @p4816 (forall @t3293 (= (tptp.c_List_Omap__filter @t127 @t30 @t2 @t5894) @t5873))) % 6.34/6.57 (assume @p4817 (forall @t447 (= (tptp.c_List_Otranspose @t35 @t6195) @t6195))) % 6.34/6.57 (assume @p4818 (forall @t5627 (= (tptp.c_List_Omap__filter @t127 @t30 @t2 @t5716) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5059 @t30 @t6180 (tptp.hAPP @t5931 @t6180)) @t668)))) % 6.34/6.57 (assume @p4819 (forall (@list @t6196 @t5464 @t27 @t30) (= (tptp.hAPP @t6202 (tptp.hAPP (tptp.c_List_Ofilter @t6200 (tptp.hAPP @t6201 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6200) tptp.c_Nat_OSuc) @t6199))) (tptp.hAPP @t6198 @t6196))) (tptp.hAPP @t6202 (tptp.hAPP (tptp.c_List_Ofilter @t6200 (tptp.hAPP @t6201 @t6199)) (tptp.hAPP @t6198 (tptp.hAPP @t6197 @t6196))))))) % 6.34/6.57 (assume @p4820 (forall @t5487 (= (tptp.c_Random_Oselect__weight @t30 @t6203) @t5766))) % 6.34/6.57 (assume @p4821 (forall @t5487 (= (tptp.c_Random_Opick @t30 @t6203) @t5770))) % 6.34/6.57 (assume @p4822 (forall @t5772 (=> (tptp.hBOOL (tptp.hAPP @t1550 @t6208)) (= (tptp.hAPP (tptp.hAPP @t6207 @t6184) @t178) (tptp.hAPP @t6206 (tptp.hAPP @t6204 @t5464)))))) % 6.34/6.57 (assume @p4823 (forall @t5487 (= @t6208 (tptp.c_List_Ofoldr @t5059 tptp.tc_Nat_Onat @t6185 @t5464 @t214)))) % 6.34/6.57 (assume @p4824 (forall (@list @t5464 @t27 @t2 @t30 @t127) (= @t6212 (tptp.c_List_Omap__filter @t127 @t30 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t2717 @t2717) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t127 @t2717 @t6209) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2717 @t6209) @t127) (tptp.c_If @t2717)) @t27)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2717 @t127) @t431) @t2))) @t433) @t5464)))) % 6.34/6.57 (assume @p4825 (forall (@list @t2 @t5464 @t140 @t30 @t127) (=> @t5626 (=> @t5562 (=> @t6214 (=> (= (tptp.hAPP @t6082 (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP (tptp.hAPP @t3927 (tptp.hAPP tptp.c_fequal @t2416)) @t2)) @t5464)) @t140) (= (tptp.hAPP @t5914 @t6213) @t5464))))))) % 6.34/6.57 (assume @p4826 (forall @t6121 (= (tptp.c_List_Osublist @t30 @t5464 @t1235) (tptp.hAPP @t6202 (tptp.hAPP @t6219 @t6216))))) % 6.34/6.57 (assume @p4827 (forall @t447 (=> @t1211 (tptp.c_List_Olinorder__class_Osorted @t35 @t5889)))) % 6.34/6.57 (assume @p4828 (forall @t436 (=> @t1211 (tptp.c_List_Olinorder__class_Osorted @t35 @t5918)))) % 6.34/6.57 (assume @p4829 (forall (@list @t5464 @t1 @t30) (=> @t1228 (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP (tptp.c_List_Ofilter @t30 (tptp.hAPP @t2781 @t6220)) @t5464))))) % 6.34/6.57 (assume @p4830 (forall @t5778 (=> @t1228 (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5470 (tptp.hAPP (tptp.c_List_Ofilter @t127 (tptp.hAPP (tptp.hAPP @t4979 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t2371 @t127) tptp.c_fequal) @t2)) @t6220)) @t5464)))))) % 6.34/6.57 (assume @p4831 (forall (@list @t27 @t5464 @t2 @t127 @t30) (=> @t1228 (=> @t6221 (tptp.c_List_Olinorder__class_Osorted @t30 @t6212))))) % 6.34/6.57 (assume @p4832 (forall @t572 (= (tptp.hAPP @t5822 @t6222) @t1598))) % 6.34/6.57 (assume @p4833 (forall @t5890 (=> @t1211 (=> @t6076 (=> @t6223 (tptp.c_List_Olinorder__class_Osorted @t35 @t6143)))))) % 6.34/6.57 (assume @p4834 (forall @t572 @t6228)) % 6.34/6.57 (assume @p4835 (forall @t572 (and @t6228 (=> (not @t1145) (= @t6227 @t6224))))) % 6.34/6.57 (assume @p4836 (forall @t551 (=> @t1145 (= (tptp.c_List_Oupt @t544 @t566) (tptp.hAPP @t6226 (tptp.c_List_Oupt @t546 @t566)))))) % 6.34/6.57 (assume @p4837 (forall @t6104 (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5708 @t6229)) (and @t1213 (tptp.c_List_Olinorder__class_Osorted @t30 @t6229)))))) % 6.34/6.57 (assume @p4838 (forall @t5567 (=> @t1211 (=> @t1185 (=> (tptp.c_List_Olinorder__class_Osorted @t35 @t6230) (tptp.c_List_Olinorder__class_Osorted @t35 (tptp.hAPP @t5705 @t6230))))))) % 6.34/6.57 (assume @p4839 (forall @t1770 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t934 @t599) @t10)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t264) (tptp.c_List_Oupt @t544 @t10)) (tptp.c_List_Oupt @t544 @t599))))) % 6.34/6.57 (assume @p4840 (forall @t4171 (= (= @t6231 @t6224) (or (= @t1545 @t214) @t1591)))) % 6.34/6.57 (assume @p4841 (forall @t571 (=> @t1594 @t6232))) % 6.34/6.57 (assume @p4842 (forall @t5565 (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 @t5709) (and @t6233 (forall @t8 (=> @t5828 @t4819))))))) % 6.34/6.57 (assume @p4843 (forall @t6001 (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 @t5994) (and @t6233 @t6234 (forall @t8 (=> @t5828 (forall @t3502 (=> (tptp.hBOOL (tptp.hAPP @t3501 @t5519)) (tptp.hBOOL (tptp.hAPP @t4824 @t3498))))))))))) % 6.34/6.57 (assume @p4844 (forall (@list @t5464 @t378 @t1545 @t178) (= (= @t6231 (tptp.hAPP (tptp.hAPP @t6225 @t378) @t5464)) (and (tptp.hBOOL (tptp.hAPP @t1550 @t1545)) (= @t178 @t378) (= (tptp.c_List_Oupt (tptp.hAPP @t1546 @t933) @t1545) @t5464))))) % 6.34/6.57 (assume @p4845 (forall @t316 (and (=> @t6238 (= @t6237 (tptp.hAPP (tptp.hAPP @t6225 @t6236) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t6236) @t6235)))) (=> (not @t6238) (= @t6237 @t6224))))) % 6.34/6.57 (assume @p4846 (forall (@list @t546 @t544 @t264) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t264) @t6222) (tptp.c_List_Oupt @t599 @t546)))) % 6.34/6.57 (assume @p4847 (forall @t5863 (=> @t1211 (=> @t6223 (tptp.c_List_Olinorder__class_Osorted @t35 @t6045))))) % 6.34/6.57 (assume @p4848 (forall @t572 (=> @t550 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t6222) @t544)))) % 6.34/6.57 (assume @p4849 (forall @t1255 (= (tptp.c_List_Oupt @t544 @t214) @t6224))) % 6.34/6.57 (assume @p4850 (forall @t5863 (=> @t1211 (=> @t6223 (tptp.c_List_Olinorder__class_Osorted @t35 @t5860))))) % 6.34/6.57 (assume @p4851 (forall @t4171 (= @t6239 @t4283))) % 6.34/6.57 (assume @p4852 (forall @t4171 (= @t4283 @t6239))) % 6.34/6.57 (assume @p4853 (forall @t6001 (=> @t1228 (=> @t6233 (=> @t5560 (=> @t6234 (=> @t6010 @t6240))))))) % 6.34/6.57 (assume @p4854 (forall @t5565 (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 @t5628) @t6233)))) % 6.34/6.57 (assume @p4855 (forall @t572 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t6222)))) % 6.34/6.57 (assume @p4856 (forall (@list @t278 @t5568 @t35) (=> @t1211 (=> @t6223 (tptp.c_List_Olinorder__class_Osorted @t35 (tptp.c_List_Oremove1 @t35 @t278 @t5568)))))) % 6.34/6.57 (assume @p4857 (forall @t572 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t6222))) % 6.34/6.57 (assume @p4858 (forall @t572 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5555))) % 6.34/6.57 (assume @p4859 (forall @t341 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t4296) @t6241))) % 6.34/6.57 (assume @p4860 (forall @t5561 (=> @t1228 (=> @t6233 (tptp.c_List_Olinorder__class_Osorted @t30 @t5799))))) % 6.34/6.57 (assume @p4861 (forall @t572 @t6242)) % 6.34/6.57 (assume @p4862 (forall @t572 (and @t6242 (=> (not @t550) @t6232)))) % 6.34/6.57 (assume @p4863 (forall @t5890 (=> @t1211 (=> @t6223 (tptp.c_List_Olinorder__class_Osorted @t35 @t6087))))) % 6.34/6.57 (assume @p4864 (forall (@list @t5464 @t378 @t2 @t127 @t30) (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5470 @t5633)) @t6221)))) % 6.34/6.57 (assume @p4865 (forall @t6243 (=> @t1228 (=> @t6221 (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5470 (tptp.c_List_Oremove1 @t127 @t378 @t5464))))))) % 6.34/6.57 (assume @p4866 (forall @t6243 (=> @t1228 (=> @t6221 (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5470 @t5791)))))) % 6.34/6.57 (assume @p4867 (forall @t341 (= (tptp.hAPP @t6197 @t6241) (tptp.c_List_Oupt @t534 @t109)))) % 6.34/6.57 (assume @p4868 (forall @t572 (=> @t550 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t6222) (tptp.hAPP @t1499 @t933))))) % 6.34/6.57 (assume @p4869 (forall (@list @t378 @t27 @t5464 @t2 @t127 @t30) (=> @t1228 (=> @t6221 (=> @t2750 (= (tptp.hAPP @t6210 @t5633) (tptp.hAPP @t5632 @t6211))))))) % 6.34/6.57 (assume @p4870 (forall @t5487 (= (tptp.hAPP (tptp.hAPP @t6244 @t5808) @t6215) @t5464))) % 6.34/6.57 (assume @p4871 (forall @t541 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t23 @t325) (tptp.hAPP @t5795 (tptp.c_List_Oupt @t23 @t534))))) % 6.34/6.57 (assume @p4872 (forall @t533 (= @t4364 (tptp.hAPP @t5795 @t6245)))) % 6.34/6.57 (assume @p4873 (forall @t4431 (=> @t3782 (= @t6248 @t6246)))) % 6.34/6.57 (assume @p4874 (forall @t4431 (=> @t3782 (= @t6246 @t6248)))) % 6.34/6.57 (assume @p4875 (forall (@list @t546 @t322 @t544) (=> (tptp.hBOOL (tptp.hAPP @t564 @t546)) (= (tptp.hAPP (tptp.hAPP @t5819 @t6222) @t322) @t563)))) % 6.34/6.57 (assume @p4876 (forall @t541 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t23 @t325) (tptp.hAPP @t5795 (tptp.c_List_Oupt @t109 @t534))))) % 6.34/6.57 (assume @p4877 (forall (@list @t84 @t83 @t30) (=> @t1228 (= (tptp.c_List_Olinorder__class_Osorted @t30 (tptp.hAPP @t5722 @t84)) (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2789 (tptp.hAPP @t5500 @t84))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t83) @t4)))) (tptp.c_List_Olinorder__class_Osorted @t30 @t84)))))) % 6.34/6.57 (assume @p4878 (forall @t541 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t23 @t325) (tptp.hAPP @t5795 (tptp.c_List_Oupt @t109 @t325))))) % 6.34/6.57 (assume @p4879 (forall (@list @t2 @t30 @t325 @t23 @t178) (=> (tptp.hBOOL (tptp.hAPP @t1550 @t1542)) (= (tptp.hAPP (tptp.hAPP @t5807 @t6247) @t178) (tptp.hAPP @t2 (tptp.hAPP @t334 @t178)))))) % 6.34/6.57 (assume @p4880 (forall @t2602 (=> @t1228 (=> @t3403 (and (= (tptp.hAPP @t5500 @t5573) @t1235) (tptp.c_List_Olinorder__class_Osorted @t30 @t5573) (tptp.hBOOL (tptp.hAPP @t5541 @t5573))))))) % 6.34/6.57 (assume @p4881 (forall @t533 (= @t4308 (tptp.hAPP @t5795 (tptp.c_List_Oupt @t214 @t109))))) % 6.34/6.57 (assume @p4882 (forall @t6106 (=> @t1228 (=> @t5562 (=> @t6233 (= (tptp.hAPP (tptp.hAPP @t5604 @t140) @t6213) @t5464)))))) % 6.34/6.57 (assume @p4883 (forall @t6250 (=> @t1211 (=> @t6223 (=> @t1145 (=> @t6249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t5813) @t5882)))))))) % 6.34/6.57 (assume @p4884 (forall @t5487 (=> @t1228 (= @t6233 (forall @t592 (=> @t5833 (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t1241 @t590)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t937 @t5826) @t5832)))))))))) % 6.34/6.57 (assume @p4885 (forall @t5480 (=> @t5626 (=> @t5521 (=> @t6214 (=> (tptp.hBOOL (tptp.hAPP @t5544 @t5482)) (=> (tptp.c_List_Olinorder__class_Osorted @t127 @t5481) (=> (tptp.hBOOL (tptp.hAPP @t5544 @t5481)) @t6240)))))))) % 6.34/6.57 (assume @p4886 (forall (@list @t178 @t5464 @t1235 @t30) (= (tptp.hAPP @t6202 (tptp.hAPP @t6219 (tptp.hAPP @t6198 (tptp.c_List_Oupt @t178 (tptp.hAPP @t1546 @t5637))))) (tptp.hAPP @t6202 (tptp.hAPP (tptp.c_List_Ofilter @t6200 (tptp.hAPP (tptp.hAPP @t6218 (tptp.hAPP @t6217 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t6200 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2196 @t6200) @t301) @t6199)) @t178))) @t1235)) @t6216))))) % 6.34/6.57 (assume @p4887 (forall (@list @t23 @t30 @t5464) (=> (=> @t6253 @t338) (=> (forall @t1242 (=> (tptp.hBOOL (tptp.hAPP @t1617 @t6251)) (= (tptp.hAPP @t5613 (tptp.hAPP @t6252 @t1238)) @t23))) (= @t6184 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t5059) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5821 @t5059) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5839 (tptp.tc_fun @t5821 @t5059) tptp.tc_Nat_Onat) @t6244) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t30) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5059 @t5839 tptp.tc_Nat_Onat) @t5807) @t6252)))) (tptp.c_List_Oupt @t214 @t6251))) @t6245)))))) % 6.34/6.57 (assume @p4888 (forall @t6257 (=> (tptp.hBOOL (tptp.hAPP @t6256 @t6255)) (= (tptp.c_List_Otranspose @t30 @t6255) (tptp.c_List_Otranspose @t30 @t6150))))) % 6.34/6.57 (assume @p4889 (forall @t1809 (=> (tptp.hBOOL (tptp.hAPP @t6256 @t6194)) (= (tptp.c_List_Otranspose @t30 @t6194) @t6194)))) % 6.34/6.57 (assume @p4890 (forall (@list @t178 @t5464 @t30) (=> @t6260 (=> (tptp.hBOOL (tptp.hAPP @t1550 @t6251)) (= (tptp.hAPP @t6206 (tptp.hAPP @t6204 @t6184)) (tptp.hAPP @t6252 @t178)))))) % 6.34/6.57 (assume @p4891 (forall @t6257 (= @t6262 (tptp.hAPP (tptp.hAPP @t6205 @t6082) (tptp.hAPP @t6181 @t6150))))) % 6.34/6.57 (assume @p4892 (forall @t2602 (tptp.c_Fun_Oinj__on @t5059 @t5059 @t6263 @t1235))) % 6.34/6.57 (assume @p4893 (forall @t6179 (= (tptp.hAPP @t6178 @t6264) (tptp.c_List_Oconcat @t30 (tptp.hAPP (tptp.hAPP @t6261 @t6178) @t5464))))) % 6.34/6.57 (assume @p4894 (forall @t6257 (= (tptp.hAPP @t5613 @t6265) (tptp.hAPP @t5798 (tptp.hAPP @t6258 @t6150))))) % 6.34/6.57 (assume @p4895 (forall (@list @t5475 @t696 @t5464 @t30) (= (= @t6267 @t5724) (= @t5464 (tptp.hAPP (tptp.hAPP @t5961 @t6266) @t5964))))) % 6.34/6.57 (assume @p4896 (forall @t5718 (= (tptp.hAPP @t6268 @t5711) (tptp.hAPP (tptp.hAPP @t5976 @t6269) @t5918)))) % 6.34/6.57 (assume @p4897 (forall @t447 (= (tptp.hAPP @t6268 @t5889) @t5889))) % 6.34/6.57 (assume @p4898 (forall @t447 (= (tptp.c_List_Oconcat @t35 @t6195) @t5889))) % 6.34/6.57 (assume @p4899 (forall @t5487 (= (= @t5873 @t6267) @t5874))) % 6.34/6.57 (assume @p4900 (forall @t5487 (= (= @t6267 @t5873) @t5874))) % 6.34/6.57 (assume @p4901 (forall @t6257 (= (= @t5873 @t6265) @t6270))) % 6.34/6.57 (assume @p4902 (forall @t6257 (= (= @t6265 @t5873) @t6270))) % 6.34/6.57 (assume @p4903 (forall @t5561 (= (= @t6267 @t5900) @t6271))) % 6.34/6.57 (assume @p4904 (forall @t5565 (= (= @t5900 @t6267) @t6271))) % 6.34/6.57 (assume @p4905 (forall @t5718 (= (tptp.c_List_Oconcat @t35 (tptp.hAPP (tptp.hAPP @t6189 @t136) @t5568)) (tptp.hAPP (tptp.hAPP @t5976 @t136) @t6272)))) % 6.34/6.57 (assume @p4906 (forall @t5487 (= (tptp.hAPP @t6263 @t6264) (tptp.c_List_Oconcat @t30 (tptp.hAPP (tptp.hAPP @t6261 @t6263) (tptp.hAPP (tptp.c_List_Orev @t5059) @t5464)))))) % 6.34/6.57 (assume @p4907 (forall @t5505 (= (tptp.hAPP @t6263 @t5478) (tptp.hAPP @t5470 @t6273)))) % 6.34/6.57 (assume @p4908 (forall @t5896 (= (tptp.hAPP @t5470 (tptp.c_List_Oconcat @t127 @t5464)) (tptp.c_List_Oconcat @t30 @t6187)))) % 6.34/6.57 (assume @p4909 (forall @t5487 (= @t6267 (tptp.hAPP (tptp.c_List_Ofoldl @t5059 @t30 @t5931 @t5873) @t5464)))) % 6.34/6.57 (assume @p4910 (forall @t6257 (= @t6265 (tptp.hAPP (tptp.c_List_Ofoldl @t5059 @t5059 @t5961 @t5873) @t6150)))) % 6.34/6.57 (assume @p4911 (forall (@list @t6150 @t5464 @t30) (= (tptp.hAPP (tptp.c_List_Ofoldl @t5059 @t5059 @t5961 @t5464) @t6150) (tptp.hAPP @t5962 @t6265)))) % 6.34/6.57 (assume @p4912 (forall @t5636 (= (tptp.hAPP @t6268 @t5982) (tptp.hAPP (tptp.hAPP @t5976 (tptp.hAPP @t6268 @t5578)) @t6269)))) % 6.34/6.57 (assume @p4913 (forall @t5636 (= (tptp.c_List_Oconcat @t35 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t5618) @t5568) @t5578)) (tptp.hAPP (tptp.hAPP @t5976 @t6272) (tptp.c_List_Oconcat @t35 @t5578))))) % 6.34/6.57 (assume @p4914 (forall @t5487 (= (tptp.hBOOL (tptp.hAPP @t5541 @t6267)) @t5560))) % 6.34/6.57 (assume @p4915 (forall @t5890 (= (tptp.hAPP @t5619 @t6269) @t5620))) % 6.34/6.57 (assume @p4916 (forall @t5890 (=> @t368 (= (tptp.hAPP @t5773 @t6269) @t5774)))) % 6.34/6.57 (assume @p4917 (forall @t6001 (= (= @t6267 @t6266) @t5476))) % 6.34/6.57 (assume @p4918 (forall @t6001 (= (= @t6267 @t5475) (= @t5464 @t6266)))) % 6.34/6.57 (assume @p4919 (forall @t5890 (= (tptp.hAPP @t6268 @t6269) @t5568))) % 6.34/6.57 (assume @p4920 (forall (@list @t140 @t5464 @t2 @t30 @t127) (= @t5713 (tptp.hAPP (tptp.c_List_Ofoldl @t30 @t127 (tptp.hAPP @t4400 @t2) @t140) @t6273)))) % 6.34/6.57 (assume @p4921 (forall (@list @t5464 @t140 @t2 @t127 @t30) (= @t6101 (tptp.c_List_Ofoldr @t127 @t30 (tptp.hAPP (tptp.c_COMBC @t30 @t127 @t30) @t2) @t6273 @t140)))) % 6.34/6.57 (assume @p4922 (forall @t5487 (= (tptp.hAPP @t5500 @t6264) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5059 @t2371) @t6192) @t5500)))) % 6.34/6.57 (assume @p4923 (forall @t5487 (= (tptp.hAPP @t5500 @t6267) @t5501))) % 6.34/6.57 (assume @p4924 (forall @t5584 (=> (= @t5620 @t5617) (= (tptp.hAPP (tptp.hAPP @t5580 @t6269) (tptp.hAPP @t6263 @t5578)) (tptp.hAPP (tptp.c_List_Orev @t5583) @t5582))))) % 6.34/6.57 (assume @p4925 (forall @t6163 (= (tptp.hAPP @t6263 @t6161) (tptp.hAPP @t6160 @t6267)))) % 6.34/6.57 (assume @p4926 (forall @t6085 (=> @t6076 (= (tptp.c_List_Olast @t35 @t6269) @t6078)))) % 6.34/6.57 (assume @p4927 (forall @t6085 (=> @t6076 (= (tptp.hAPP @t6072 @t6269) @t6123)))) % 6.34/6.57 (assume @p4928 (forall @t5487 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6259 (tptp.hAPP @t6258 @t6184))))) % 6.34/6.57 (assume @p4929 (forall @t6275 (= (tptp.hAPP @t6268 @t5864) (tptp.hAPP (tptp.hAPP @t6042 @t6274) @t6269)))) % 6.34/6.57 (assume @p4930 (forall @t6275 (= (tptp.hAPP @t6268 @t6052) (tptp.hAPP (tptp.hAPP @t5858 @t6274) @t6269)))) % 6.34/6.57 (assume @p4931 (forall @t5869 (= (tptp.hAPP @t6090 @t6269) (tptp.hAPP @t6268 (tptp.hAPP (tptp.c_List_Orotate @t35 (tptp.hAPP @t6053 @t6089)) @t5568))))) % 6.34/6.57 (assume @p4932 (forall @t6278 @t6277)) % 6.34/6.57 (assume @p4933 (forall @t6074 (=> @t6012 (= (tptp.hAPP (tptp.hAPP @t5811 @t6269) @t10) (tptp.hAPP @t5812 (tptp.hAPP @t6053 @t36)))))) % 6.34/6.57 (assume @p4934 (forall @t6001 (=> @t6281 (=> @t6280 (=> @t6279 @t5476))))) % 6.34/6.57 (assume @p4935 (forall @t6001 (=> @t6279 (=> @t6280 (= @t6281 @t5476))))) % 6.34/6.57 (assume @p4936 (forall (@list @t135 @t5568 @t35 @t322) (=> (tptp.hBOOL (tptp.hAPP @t559 @t5620)) (= (tptp.hAPP @t6268 (tptp.hAPP @t6124 @t135)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t35 @t6269) (tptp.hAPP (tptp.hAPP @t1459 (tptp.hAPP @t6053 @t322)) @t933)) @t135))))) % 6.34/6.57 (assume @p4937 (forall @t5505 (= (tptp.c_List_Oconcat @t30 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t127 @t5059) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t127 @t5059 @t5059) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t30 @t5745 @t127) @t5701) @t2)) @t5873)) @t5464)) @t5478))) % 6.34/6.57 (assume @p4938 (forall @t6250 (=> @t1211 (=> (tptp.c_List_Olinorder__class_Osorted @t35 @t6269) (=> @t1145 (=> @t6249 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t930 @t5882) @t5813)))))))) % 6.34/6.57 (assume @p4939 (forall @t6174 (=> @t1228 (=> (tptp.c_List_Olinorder__class_Osorted @t30 @t6267) (and (=> @t5874 (= @t6282 @t696)) (=> @t5875 (= @t6282 (tptp.hAPP (tptp.hAPP @t2644 (tptp.hAPP @t5808 @t214)) @t696)))))))) % 6.34/6.57 (assume @p4940 (forall @t6278 (=> (tptp.hBOOL (tptp.hAPP @t6256 @t6276)) @t6277))) % 6.34/6.57 (assume @p4941 (forall @t5487 (=> @t6260 (and (=> @t6253 (= @t6208 @t214)) (=> (not @t6253) (= @t6208 (tptp.hAPP @t5613 (tptp.hAPP @t6252 @t214)))))))) % 6.34/6.57 (assume @p4942 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p4943 (forall @t6287 (=> @t6286 (tptp.class_Lattices_Obounded__lattice @t6285)))) % 6.34/6.57 (assume @p4944 (forall @t6287 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6283) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6285)))) % 6.34/6.57 (assume @p4945 (forall @t6287 (=> @t6286 (tptp.class_Lattices_Obounded__lattice__top @t6285)))) % 6.34/6.57 (assume @p4946 (forall @t6287 (=> @t6286 (tptp.class_Lattices_Obounded__lattice__bot @t6285)))) % 6.34/6.57 (assume @p4947 (forall @t6287 (=> @t6288 (tptp.class_Lattices_Osemilattice__sup @t6285)))) % 6.34/6.57 (assume @p4948 (forall @t6287 (=> @t6288 (tptp.class_Lattices_Osemilattice__inf @t6285)))) % 6.34/6.57 (assume @p4949 (forall @t6287 (=> (tptp.class_Lattices_Odistrib__lattice @t6283) (tptp.class_Lattices_Odistrib__lattice @t6285)))) % 6.34/6.57 (assume @p4950 (forall @t6287 (=> (tptp.class_Lattices_Oboolean__algebra @t6283) (tptp.class_Lattices_Oboolean__algebra @t6285)))) % 6.34/6.57 (assume @p4951 (forall @t6287 (=> (tptp.class_Orderings_Opreorder @t6283) (tptp.class_Orderings_Opreorder @t6285)))) % 6.34/6.57 (assume @p4952 (forall @t6291 (=> @t6290 (tptp.class_Finite__Set_Ofinite @t6285)))) % 6.34/6.57 (assume @p4953 (forall @t6287 (=> @t6288 (tptp.class_Lattices_Olattice @t6285)))) % 6.34/6.57 (assume @p4954 (forall @t6287 (=> (tptp.class_Orderings_Oorder @t6283) (tptp.class_Orderings_Oorder @t6285)))) % 6.34/6.57 (assume @p4955 (forall @t6287 (=> (tptp.class_Orderings_Otop @t6283) (tptp.class_Orderings_Otop @t6285)))) % 6.34/6.57 (assume @p4956 (forall @t6287 (=> (tptp.class_Orderings_Oord @t6283) (tptp.class_Orderings_Oord @t6285)))) % 6.34/6.57 (assume @p4957 (forall @t6287 (=> (tptp.class_Orderings_Obot @t6283) (tptp.class_Orderings_Obot @t6285)))) % 6.34/6.57 (assume @p4958 (forall @t6287 (=> (tptp.class_Groups_Ouminus @t6283) (tptp.class_Groups_Ouminus @t6285)))) % 6.34/6.57 (assume @p4959 (forall @t6287 (=> (tptp.class_Groups_Ominus @t6283) (tptp.class_Groups_Ominus @t6285)))) % 6.34/6.57 (assume @p4960 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4961 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4962 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4963 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4964 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4965 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4966 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4967 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4968 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4969 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4970 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4971 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4972 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4973 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4974 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4975 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4976 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4977 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4978 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4979 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4980 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4981 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4982 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4983 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4984 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4985 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4987 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4988 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4989 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4990 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4991 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4992 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4993 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4994 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4995 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4996 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4997 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4998 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p4999 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5000 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5001 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5002 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5003 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5004 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5005 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5006 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5007 (tptp.class_Smallcheck_Osmall tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5008 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5009 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5010 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5011 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5012 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5013 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5014 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5015 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5016 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5017 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5018 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5019 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5020 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5021 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5022 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5023 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5024 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5025 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5026 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5027 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5028 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5029 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5030 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5031 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 6.34/6.57 (assume @p5032 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5033 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5034 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5035 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5036 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5037 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5038 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5039 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5040 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5041 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5042 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5043 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5044 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5045 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5046 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5047 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5048 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5049 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5050 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5051 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5052 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5053 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5054 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5055 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5056 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5057 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5059 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5060 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5061 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5062 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5063 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5064 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5065 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5066 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5067 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5068 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5070 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5071 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5072 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5073 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5074 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5075 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5076 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5077 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5079 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 6.34/6.57 (assume @p5080 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5082 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5083 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5084 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5085 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5088 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5089 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5091 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5093 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5094 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5095 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 6.34/6.57 (assume @p5096 (forall @t6291 (=> @t6290 (tptp.class_Finite__Set_Ofinite (tptp.tc_sum @t6284 @t6283))))) % 6.34/6.57 (assume @p5097 (forall (@list @t6283) (=> @t6289 (tptp.class_Finite__Set_Ofinite (tptp.tc_Option_Ooption @t6283))))) % 6.34/6.57 (assume @p5098 (forall @t6291 (=> @t6290 (tptp.class_Finite__Set_Ofinite @t6292)))) % 6.34/6.57 (assume @p5099 (forall @t6291 (=> (and (tptp.class_Smallcheck_Osmall @t6284) (tptp.class_Smallcheck_Osmall @t6283)) (tptp.class_Smallcheck_Osmall @t6292)))) % 6.34/6.57 (assume @p5100 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 6.34/6.57 (assume @p5101 (tptp.class_Smallcheck_Osmall tptp.tc_Product__Type_Ounit)) % 6.34/6.57 (assume @p5102 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5103 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5104 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5105 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5106 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5107 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5108 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5109 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5110 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5111 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5112 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5113 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5114 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5115 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5116 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5117 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5118 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5119 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5120 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5121 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5122 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5123 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5124 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5125 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5126 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5127 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5128 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5129 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5130 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5131 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5132 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5133 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5134 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5135 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5136 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5137 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5138 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5139 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5140 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5141 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5142 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 6.34/6.57 (assume @p5143 (forall (@list @t252 @t35) (= (tptp.hAPP (tptp.c_COMBI @t35) @t252) @t252))) % 6.34/6.57 (assume @p5144 (forall (@list @t6293 @t252 @t30 @t35) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t35 @t30) @t252) @t6293) @t252))) % 6.34/6.57 (assume @p5145 (forall (@list @t2474 @t21 @t27 @t465 @t30 @t127) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3281 @t27) @t21) @t2474) (tptp.hAPP @t27 @t6294)))) % 6.34/6.57 (assume @p5146 (forall @t6296 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3933 @t27) @t21) @t2474) (tptp.hAPP @t6295 @t21)))) % 6.34/6.57 (assume @p5147 (forall @t6296 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t127 @t465 @t30) @t27) @t21) @t2474) (tptp.hAPP @t6295 @t6294)))) % 6.34/6.57 (assume @p5148 (forall @t700 (or (not @t6297) @t894))) % 6.34/6.57 (assume @p5149 (forall @t700 (or @t1227 @t6297))) % 6.34/6.57 (assume @p5150 (not (tptp.hBOOL tptp.c_fFalse))) % 6.34/6.57 (assume @p5151 (tptp.hBOOL tptp.c_fTrue)) % 6.34/6.57 (assume @p5152 (forall @t1061 (or (not @t6300) @t6299))) % 6.34/6.57 (assume @p5153 (forall @t1061 (or (not @t6299) @t6300))) % 6.34/6.57 (assume @p5154 (forall @t6304 (or @t6299 @t6303 @t6301))) % 6.34/6.57 (assume @p5155 (forall @t6304 (or @t6305 @t6298))) % 6.34/6.57 (assume @p5156 (forall @t6304 (or @t6305 @t6302))) % 6.34/6.57 (assume @p5157 (forall @t6304 (or @t6299 @t6306))) % 6.34/6.57 (assume @p5158 (forall @t6307 (or @t6303 @t6306))) % 6.34/6.57 (assume @p5159 (forall @t6304 (or (not @t6306) @t6298 @t6302))) % 6.34/6.57 (assume @p5160 (forall @t6304 (or @t6298 @t6308))) % 6.34/6.57 (assume @p5161 (forall @t6307 (or @t6303 @t6308))) % 6.34/6.57 (assume @p5162 (forall @t6304 (or (not @t6308) @t6299 @t6302))) % 6.34/6.57 (assume @p5163 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) @t4) tptp.v_G)) (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a tptp.v_n @t4)))) % 6.34/6.57 (assume @p5164 @t6315) % 6.34/6.57 (assume @p5165 true) % 6.34/6.57 (step @p5166 :rule evaluate :args ((= false true))) % 6.34/6.57 (step @p5167 :rule aci_norm :args ((= @t6322 @t6320))) % 6.34/6.57 (step @p5168 :rule cong :premises (@p5167) :args (@t6324)) % 6.34/6.57 (step @p5169 :rule quant-merge-prenex :args ((= (forall @t29 @t6326) @t6324))) % 6.34/6.57 (step @p5170 :rule alpha_equiv :args (@t6327 (@list @t6316) (@list @t19))) % 6.34/6.57 (step @p5171 :rule refl :args (@t6319)) % 6.34/6.57 (step @p5172 :rule nary_cong :premises (@p5171 @p5170) :args (@t6328)) % 6.34/6.57 (step @p5173 :rule quant-miniscope-or :args ((= @t6326 @t6328))) % 6.34/6.57 (step @p5174 :rule trans :premises (@p5173 @p5172)) % 6.34/6.58 (step @p5175 :rule symm :premises (@p5174)) % 6.34/6.58 (step @p5176 :rule cong :premises (@p5175) :args ((forall @t29 (or @t6319 @t6329)))) % 6.34/6.58 (step @p5177 :rule trans :premises (@p5176 @p5169)) % 6.34/6.58 (step @p5178 :rule trans :premises (@p5177 @p5168)) % 6.34/6.58 (step @p5179 :rule bool-impl-elim :args (@t6312 @t6329)) % 6.34/6.58 (step @p5180 :rule cong :premises (@p5179) :args ((forall @t29 (=> @t6312 @t6329)))) % 6.34/6.58 (step @p5181 :rule trans :premises (@p5180 @p5178)) % 6.34/6.58 (step @p5182 :rule bool-impl-elim :args (@t6310 @t6309)) % 6.34/6.58 (step @p5183 :rule cong :premises (@p5182) :args (@t6311)) % 6.34/6.58 (step @p5184 :rule refl :args (@t6312)) % 6.34/6.58 (step @p5185 :rule cong :premises (@p5184 @p5183) :args (@t6313)) % 6.34/6.58 (step @p5186 :rule cong :premises (@p5185) :args (@t6314)) % 6.34/6.58 (step @p5187 :rule trans :premises (@p5186 @p5181)) % 6.34/6.58 (step @p5188 :rule cong :premises (@p5187) :args (@t6315)) % 6.34/6.58 (step @p5189 :rule eq_resolve :premises (@p5164 @p5188)) % 6.34/6.58 (step @p5190 :rule skolemize :premises (@p5189)) % 6.34/6.58 (step @p5191 :rule bool-double-not-elim :args (@t6333)) % 6.34/6.58 (step @p5192 :rule refl :args (@t6339)) % 6.34/6.58 (step @p5193 :rule nary_cong :premises (@p5192 @p5191) :args ((or @t6339 (not @t6338)))) % 6.34/6.58 (step @p5194 :rule cnf_or_neg :args (@t6339 0)) % 6.34/6.58 (step @p5195 :rule eq_resolve :premises (@p5194 @p5193)) % 6.34/6.58 (step @p5196 :rule reordering :premises (@p5195) :args ((or @t6333 @t6339))) % 6.34/6.58 (step @p5197 :rule chain_m_resolution :premises (@p5196 @p5190) :args (@t6333 @t6340 @t6341)) % 6.34/6.58 (step @p5198 :rule true_intro :premises (@p5197)) % 6.34/6.58 (step @p5199 :rule bool-impl-elim :args (@t13 @t498)) % 6.34/6.58 (step @p5200 :rule cong :premises (@p5199) :args ((forall @t15 (=> @t13 @t498)))) % 6.34/6.58 (step @p5201 :rule eq-symm :args (@t11 @t9)) % 6.34/6.58 (step @p5202 :rule refl :args (@t13)) % 6.34/6.58 (step @p5203 :rule cong :premises (@p5202 @p5201) :args (@t14)) % 6.34/6.58 (step @p5204 :rule cong :premises (@p5203) :args (@t16)) % 6.34/6.58 (step @p5205 :rule trans :premises (@p5204 @p5200)) % 6.34/6.58 (step @p5206 :rule eq_resolve :premises (@p3 @p5205)) % 6.34/6.58 (step @p5207 :rule instantiate :premises (@p5206) :args ((@list @t6334 tptp.v_n @t6331))) % 6.34/6.58 (step @p5208 :rule bool-double-not-elim :args (@t6336)) % 6.34/6.58 (step @p5209 :rule nary_cong :premises (@p5192 @p5208) :args ((or @t6339 (not @t6337)))) % 6.34/6.58 (step @p5210 :rule cnf_or_neg :args (@t6339 1)) % 6.34/6.58 (step @p5211 :rule eq_resolve :premises (@p5210 @p5209)) % 6.34/6.58 (step @p5212 :rule reordering :premises (@p5211) :args ((or @t6336 @t6339))) % 6.34/6.58 (step @p5213 :rule chain_m_resolution :premises (@p5212 @p5190) :args (@t6336 @t6340 @t6341)) % 6.34/6.58 (step @p5214 :rule cnf_or_pos :args (@t6343)) % 6.34/6.58 (step @p5215 :rule reordering :premises (@p5214) :args ((or @t6337 @t6342 (not @t6343)))) % 6.34/6.58 (step @p5216 :rule chain_m_resolution :premises (@p5215 @p5213 @p5207) :args (@t6342 (@list false false) (@list @t6336 @t6343))) % 6.34/6.58 (step @p5217 :rule symm :premises (@p5216)) % 6.34/6.58 (step @p5218 :rule refl :args (@t6332)) % 6.34/6.58 (step @p5219 :rule cong :premises (@p5218 @p5217) :args (@t6335)) % 6.34/6.58 (step @p5220 :rule cnf_or_neg :args (@t6339 2)) % 6.34/6.58 (step @p5221 :rule chain_m_resolution :premises (@p5220 @p5190) :args ((not @t6335) @t6340 @t6341)) % 6.34/6.58 (step @p5222 :rule false_intro :premises (@p5221)) % 6.34/6.58 (step @p5223 :rule symm :premises (@p5222)) % 6.34/6.58 (step @p5224 :rule trans :premises (@p5223 @p5219 @p5198)) % 6.34/6.58 (step @p5225 false :rule eq_resolve :premises (@p5224 @p5166)) % 6.34/6.58 ) % 6.34/6.58 % SZS output end Proof % 6.34/6.58 % cvc5 exiting %------------------------------------------------------------------------------