%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW326+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:44 AM UTC 2026 % Result : Theorem 3.41s 3.68s % Output : Proof 3.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW326+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 21:47:08 EDT 2026 % 0.19/0.35 % CPUTime : % 1.08/2.02 %----Proving TF0_NAR, FOF, or CNF % 3.41/3.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.41/3.68 % SZS status Theorem % 3.41/3.68 % SZS output start Proof % 3.41/3.68 ( % 3.41/3.68 (declare-sort $$unsorted 0) % 3.41/3.68 (declare-const tptp.v_c $$unsorted) % 3.41/3.68 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Smallcheck_Osmall (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 3.41/3.68 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Ointrel $$unsorted) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Oorelse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 3.41/3.68 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 3.41/3.68 (declare-const tptp.tc_Com_Ovname $$unsorted) % 3.41/3.68 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Oembed__list (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.v_n $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Osmall__class_Osmall (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.v_b $$unsorted) % 3.41/3.68 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 3.41/3.68 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Onat $$unsorted) % 3.41/3.68 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 3.41/3.68 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 3.41/3.68 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OSuml (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OProjr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_fdisj $$unsorted) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Osmall_H__rel $$unsorted) % 3.41/3.68 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Natural_Oupdate $$unsorted) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OInl (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Nat_Onat $$unsorted) % 3.41/3.68 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Osmall_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_Osum_Osum__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_fFalse $$unsorted) % 3.41/3.68 (declare-const tptp.c_Com_Obodies $$unsorted) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Int_OInteg $$unsorted) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Com_Opname $$unsorted) % 3.41/3.68 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OInr (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OProjl (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 3.41/3.68 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_fTrue $$unsorted) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Obody $$unsorted) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 3.41/3.68 (declare-const tptp.tc_HOL_Obool $$unsorted) % 3.41/3.68 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_Osum_Osum__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_Osum_Osum__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Option_Ois__none (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Com_OWT__bodies Bool) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 3.41/3.68 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Option_Ooption_Ooption__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Com_Ostate $$unsorted) % 3.41/3.68 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nat_OSuc $$unsorted) % 3.41/3.68 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Com_Ocom $$unsorted) % 3.41/3.68 (declare-const tptp.c_Int_OPls $$unsorted) % 3.41/3.68 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_fequal $$unsorted) % 3.41/3.68 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_fNot $$unsorted) % 3.41/3.68 (declare-const tptp.c_fimplies $$unsorted) % 3.41/3.68 (declare-const tptp.c_fconj $$unsorted) % 3.41/3.68 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.tc_Int_Oint $$unsorted) % 3.41/3.68 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Com_OWT $$unsorted) % 3.41/3.68 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Sum__Type_OSumr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.v_P (-> $$unsorted $$unsorted Bool)) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.t_a $$unsorted) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Ofull__small_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.v_G $$unsorted) % 3.41/3.68 (declare-const tptp.c_Smallcheck_Ofull__small__class_Ofull__small (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.41/3.68 (declare-const tptp.c_Int_OMin $$unsorted) % 3.41/3.68 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 3.41/3.68 (define @t1 () (@var "V_g_2" $$unsorted)) % 3.41/3.68 (define @t2 () (@var "V_f_2" $$unsorted)) % 3.41/3.68 (define @t3 () (= @t2 @t1)) % 3.41/3.68 (define @t4 () (@var "B_x" $$unsorted)) % 3.41/3.68 (define @t5 () (tptp.hAPP @t1 @t4)) % 3.41/3.68 (define @t6 () (tptp.hAPP @t2 @t4)) % 3.41/3.68 (define @t7 () (= @t6 @t5)) % 3.41/3.68 (define @t8 () (@list @t4)) % 3.41/3.68 (define @t9 () (@var "B_n" $$unsorted)) % 3.41/3.68 (define @t10 () (@var "T_b" $$unsorted)) % 3.41/3.68 (define @t11 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t9 @t4)) % 3.41/3.68 (define @t12 () (@var "V_ts_2" $$unsorted)) % 3.41/3.68 (define @t13 () (tptp.tc_Hoare__Mirabelle_Otriple @t10)) % 3.41/3.68 (define @t14 () (tptp.hAPP (tptp.c_member @t13) @t4)) % 3.41/3.68 (define @t15 () (tptp.hBOOL (tptp.hAPP @t14 @t12))) % 3.41/3.68 (define @t16 () (@var "V_Ga_2" $$unsorted)) % 3.41/3.68 (define @t17 () (@list @t9)) % 3.41/3.68 (define @t18 () (@var "V_s_2" $$unsorted)) % 3.41/3.68 (define @t19 () (@var "V_n_2" $$unsorted)) % 3.41/3.68 (define @t20 () (@var "V_ca_2" $$unsorted)) % 3.41/3.68 (define @t21 () (@var "V_ba_2" $$unsorted)) % 3.41/3.68 (define @t22 () (tptp.c_Com_Ocom_OWhile @t21 @t20)) % 3.41/3.68 (define @t23 () (tptp.hBOOL (tptp.hAPP @t21 @t18))) % 3.41/3.68 (define @t24 () (not @t23)) % 3.41/3.68 (define @t25 () (@var "V_s2_2" $$unsorted)) % 3.41/3.68 (define @t26 () (@var "V_s0_2" $$unsorted)) % 3.41/3.68 (define @t27 () (@var "V_s1_2" $$unsorted)) % 3.41/3.68 (define @t28 () (tptp.hBOOL (tptp.hAPP @t21 @t26))) % 3.41/3.68 (define @t29 () (@var "V_a2_2" $$unsorted)) % 3.41/3.68 (define @t30 () (@var "V_a4_2" $$unsorted)) % 3.41/3.68 (define @t31 () (@var "B_s1" $$unsorted)) % 3.41/3.68 (define @t32 () (@var "V_a3_2" $$unsorted)) % 3.41/3.68 (define @t33 () (@var "V_a1_2" $$unsorted)) % 3.41/3.68 (define @t34 () (tptp.c_Com_Ocom_OWhile @t33 @t32)) % 3.41/3.68 (define @t35 () (tptp.c_Natural_Oevaln @t32 @t29 @t30 @t31)) % 3.41/3.68 (define @t36 () (@list @t31)) % 3.41/3.68 (define @t37 () (tptp.hBOOL (tptp.hAPP @t33 @t29))) % 3.41/3.68 (define @t38 () (@var "V_a6_2" $$unsorted)) % 3.41/3.68 (define @t39 () (not @t37)) % 3.41/3.68 (define @t40 () (@var "V_com_H_2" $$unsorted)) % 3.41/3.68 (define @t41 () (@var "V_com_2" $$unsorted)) % 3.41/3.68 (define @t42 () (= @t41 @t40)) % 3.41/3.68 (define @t43 () (@var "V_fun_H_2" $$unsorted)) % 3.41/3.68 (define @t44 () (@var "V_fun_2" $$unsorted)) % 3.41/3.68 (define @t45 () (= @t44 @t43)) % 3.41/3.68 (define @t46 () (tptp.c_Com_Ocom_OWhile @t43 @t40)) % 3.41/3.68 (define @t47 () (tptp.c_Com_Ocom_OWhile @t44 @t41)) % 3.41/3.68 (define @t48 () (tptp.hAPP tptp.c_Nat_OSuc @t19)) % 3.41/3.68 (define @t49 () (@var "B_s_H" $$unsorted)) % 3.41/3.68 (define @t50 () (@var "B_Z" $$unsorted)) % 3.41/3.68 (define @t51 () (@var "V_Q_2" $$unsorted)) % 3.41/3.68 (define @t52 () (tptp.hAPP @t51 @t50)) % 3.41/3.68 (define @t53 () (@var "B_s" $$unsorted)) % 3.41/3.68 (define @t54 () (@list @t49)) % 3.41/3.68 (define @t55 () (@var "V_Pa_2" $$unsorted)) % 3.41/3.68 (define @t56 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t50) @t53))) % 3.41/3.68 (define @t57 () (@list @t50 @t53)) % 3.41/3.68 (define @t58 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t10)) % 3.41/3.68 (define @t59 () (tptp.hAPP @t58 @t55)) % 3.41/3.68 (define @t60 () (tptp.hAPP @t59 @t20)) % 3.41/3.68 (define @t61 () (tptp.hAPP @t60 @t51)) % 3.41/3.68 (define @t62 () (@var "V_t_2" $$unsorted)) % 3.41/3.68 (define @t63 () (=> (= @t62 @t18) @t23)) % 3.41/3.68 (define @t64 () (@var "V_t" $$unsorted)) % 3.41/3.68 (define @t65 () (@var "V_n" $$unsorted)) % 3.41/3.68 (define @t66 () (@var "T_a" $$unsorted)) % 3.41/3.68 (define @t67 () (tptp.hAPP tptp.c_Nat_OSuc @t65)) % 3.41/3.68 (define @t68 () (@var "V_f6_2" $$unsorted)) % 3.41/3.68 (define @t69 () (tptp.hAPP (tptp.hAPP @t68 @t44) @t41)) % 3.41/3.68 (define @t70 () (@var "V_f8_2" $$unsorted)) % 3.41/3.68 (define @t71 () (@var "V_f7_2" $$unsorted)) % 3.41/3.68 (define @t72 () (@var "V_f5_2" $$unsorted)) % 3.41/3.68 (define @t73 () (@var "V_f4_2" $$unsorted)) % 3.41/3.68 (define @t74 () (@var "V_f3_2" $$unsorted)) % 3.41/3.68 (define @t75 () (@var "V_f2_2" $$unsorted)) % 3.41/3.68 (define @t76 () (@var "V_f1_2" $$unsorted)) % 3.41/3.68 (define @t77 () (@list @t41 @t44 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t78 () (@var "V_s" $$unsorted)) % 3.41/3.68 (define @t79 () (= @t64 @t78)) % 3.41/3.68 (define @t80 () (@var "V_fun2_H_2" $$unsorted)) % 3.41/3.68 (define @t81 () (@var "V_fun2_2" $$unsorted)) % 3.41/3.68 (define @t82 () (@var "V_fun1_H_2" $$unsorted)) % 3.41/3.68 (define @t83 () (@var "V_fun1_2" $$unsorted)) % 3.41/3.68 (define @t84 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t83) @t41) @t81)) % 3.41/3.68 (define @t85 () (@list @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t86 () (@var "V_s_H" $$unsorted)) % 3.41/3.68 (define @t87 () (@var "V_c" $$unsorted)) % 3.41/3.68 (define @t88 () (@var "V_a1" $$unsorted)) % 3.41/3.68 (define @t89 () (@var "V_a2" $$unsorted)) % 3.41/3.68 (define @t90 () (@list @t40 @t43)) % 3.41/3.68 (define @t91 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t76 @t83) @t41) @t81)) % 3.41/3.68 (define @t92 () (@var "T_c" $$unsorted)) % 3.41/3.68 (define @t93 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t92)) % 3.41/3.68 (define @t94 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t93 @t83) @t41) @t81)) % 3.41/3.68 (define @t95 () (@list @t81 @t41 @t83 @t76 @t10 @t92)) % 3.41/3.68 (define @t96 () (@list @t65)) % 3.41/3.68 (define @t97 () (@var "V_nat_H_2" $$unsorted)) % 3.41/3.68 (define @t98 () (@var "V_nat_2" $$unsorted)) % 3.41/3.68 (define @t99 () (tptp.hAPP tptp.c_Nat_OSuc @t98)) % 3.41/3.68 (define @t100 () (@var "V_y" $$unsorted)) % 3.41/3.68 (define @t101 () (@var "V_x" $$unsorted)) % 3.41/3.68 (define @t102 () (= @t101 @t100)) % 3.41/3.68 (define @t103 () (@list @t100 @t101)) % 3.41/3.68 (define @t104 () (@var "V_s2" $$unsorted)) % 3.41/3.68 (define @t105 () (@var "V_s0" $$unsorted)) % 3.41/3.68 (define @t106 () (@var "V_c1" $$unsorted)) % 3.41/3.68 (define @t107 () (@var "V_c0" $$unsorted)) % 3.41/3.68 (define @t108 () (tptp.c_Com_Ocom_OSemi @t107 @t106)) % 3.41/3.68 (define @t109 () (@var "V_s1" $$unsorted)) % 3.41/3.68 (define @t110 () (@var "V_com2_2" $$unsorted)) % 3.41/3.68 (define @t111 () (@var "V_com1_2" $$unsorted)) % 3.41/3.68 (define @t112 () (tptp.hAPP (tptp.hAPP @t73 @t111) @t110)) % 3.41/3.68 (define @t113 () (tptp.c_Com_Ocom_OSemi @t111 @t110)) % 3.41/3.68 (define @t114 () (@list @t110 @t111 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t115 () (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t41)) % 3.41/3.68 (define @t116 () (@var "V_c2_2" $$unsorted)) % 3.41/3.68 (define @t117 () (@var "V_c1_2" $$unsorted)) % 3.41/3.68 (define @t118 () (tptp.c_Com_Ocom_OCond @t21 @t117 @t116)) % 3.41/3.68 (define @t119 () (@var "V_c0_2" $$unsorted)) % 3.41/3.68 (define @t120 () (tptp.c_Com_Ocom_OCond @t21 @t119 @t117)) % 3.41/3.68 (define @t121 () (tptp.c_Natural_Oevaln @t120 @t18 @t19 @t27)) % 3.41/3.68 (define @t122 () (@var "V_com2_H_2" $$unsorted)) % 3.41/3.68 (define @t123 () (@var "V_com1_H_2" $$unsorted)) % 3.41/3.68 (define @t124 () (tptp.c_Com_Ocom_OCond @t43 @t123 @t122)) % 3.41/3.68 (define @t125 () (= @t110 @t122)) % 3.41/3.68 (define @t126 () (= @t111 @t123)) % 3.41/3.68 (define @t127 () (tptp.c_Com_Ocom_OSemi @t123 @t122)) % 3.41/3.68 (define @t128 () (tptp.c_Com_Ocom_OCond @t44 @t111 @t110)) % 3.41/3.68 (define @t129 () (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t110)) % 3.41/3.68 (define @t130 () (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t111)) % 3.41/3.68 (define @t131 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t72 @t44) @t111) @t110)) % 3.41/3.68 (define @t132 () (@list @t110 @t111 @t44 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t133 () (@var "V_a5_2" $$unsorted)) % 3.41/3.68 (define @t134 () (tptp.c_Natural_Oevaln @t38 @t29 @t30 @t133)) % 3.41/3.68 (define @t135 () (tptp.c_Natural_Oevaln @t32 @t29 @t30 @t133)) % 3.41/3.68 (define @t136 () (@list @t122 @t123 @t43)) % 3.41/3.68 (define @t137 () (@var "V_com2_H" $$unsorted)) % 3.41/3.68 (define @t138 () (@var "V_com1_H" $$unsorted)) % 3.41/3.68 (define @t139 () (tptp.c_Com_Ocom_OSemi @t138 @t137)) % 3.41/3.68 (define @t140 () (@list @t137 @t138)) % 3.41/3.68 (define @t141 () (@var "V_c2" $$unsorted)) % 3.41/3.68 (define @t142 () (tptp.c_Com_Ocom_OSemi @t106 @t141)) % 3.41/3.68 (define @t143 () (@var "V_i_2" $$unsorted)) % 3.41/3.68 (define @t144 () (@var "V_inc_2" $$unsorted)) % 3.41/3.68 (define @t145 () (tptp.class_Rings_Osemiring__1 @t10)) % 3.41/3.68 (define @t146 () (tptp.hAPP @t75 @t98)) % 3.41/3.68 (define @t147 () (@list @t98 @t75 @t76 @t10)) % 3.41/3.68 (define @t148 () (tptp.c_Nat_Onat_Onat__rec @t10 @t76 @t75)) % 3.41/3.68 (define @t149 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t106))) % 3.41/3.68 (define @t150 () (@var "V_loc_2" $$unsorted)) % 3.41/3.68 (define @t151 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t74 @t150) @t44) @t41)) % 3.41/3.68 (define @t152 () (tptp.c_Com_Ocom_OLocal @t150 @t44 @t41)) % 3.41/3.68 (define @t153 () (@list @t41 @t44 @t150 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t154 () (@var "V_pname_2" $$unsorted)) % 3.41/3.68 (define @t155 () (@var "V_vname_2" $$unsorted)) % 3.41/3.68 (define @t156 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t70 @t155) @t154) @t44)) % 3.41/3.68 (define @t157 () (tptp.c_Com_Ocom_OCall @t155 @t154 @t44)) % 3.41/3.68 (define @t158 () (@list @t44 @t154 @t155 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t159 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t117))) % 3.41/3.68 (define @t160 () (tptp.hAPP (tptp.hAPP @t75 @t155) @t44)) % 3.41/3.68 (define @t161 () (tptp.c_Com_Ocom_OAss @t155 @t44)) % 3.41/3.68 (define @t162 () (@list @t44 @t155 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t163 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t20))) % 3.41/3.68 (define @t164 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t22))) % 3.41/3.68 (define @t165 () (tptp.hAPP @t71 @t154)) % 3.41/3.68 (define @t166 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t154)) % 3.41/3.68 (define @t167 () (@list @t154 @t70 @t71 @t68 @t72 @t73 @t74 @t75 @t76 @t10)) % 3.41/3.68 (define @t168 () (@var "V_a_2" $$unsorted)) % 3.41/3.68 (define @t169 () (@var "V_Y_2" $$unsorted)) % 3.41/3.68 (define @t170 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t169 @t168 @t20)))) % 3.41/3.68 (define @t171 () (@var "V_X_2" $$unsorted)) % 3.41/3.68 (define @t172 () (@var "V_pn_2" $$unsorted)) % 3.41/3.68 (define @t173 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t172)) % 3.41/3.68 (define @t174 () (@var "V_loc_H_2" $$unsorted)) % 3.41/3.68 (define @t175 () (tptp.c_Com_Ocom_OLocal @t174 @t43 @t40)) % 3.41/3.68 (define @t176 () (@var "V_pname_H_2" $$unsorted)) % 3.41/3.68 (define @t177 () (= @t154 @t176)) % 3.41/3.68 (define @t178 () (@var "V_vname_H_2" $$unsorted)) % 3.41/3.68 (define @t179 () (= @t155 @t178)) % 3.41/3.68 (define @t180 () (tptp.c_Com_Ocom_OCall @t178 @t176 @t43)) % 3.41/3.68 (define @t181 () (tptp.c_Com_Ocom_OAss @t178 @t43)) % 3.41/3.68 (define @t182 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t176)) % 3.41/3.68 (define @t183 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t33)) % 3.41/3.68 (define @t184 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t33))) % 3.41/3.68 (define @t185 () (tptp.c_Com_Ocom_OAss @t33 @t29)) % 3.41/3.68 (define @t186 () (@list @t29 @t33)) % 3.41/3.68 (define @t187 () (tptp.c_Com_Ocom_OAss @t171 @t168)) % 3.41/3.68 (define @t188 () (@var "V_pname_H" $$unsorted)) % 3.41/3.68 (define @t189 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t188)) % 3.41/3.68 (define @t190 () (@var "V_com2" $$unsorted)) % 3.41/3.68 (define @t191 () (@var "V_com1" $$unsorted)) % 3.41/3.68 (define @t192 () (tptp.c_Com_Ocom_OSemi @t191 @t190)) % 3.41/3.68 (define @t193 () (@list @t188)) % 3.41/3.68 (define @t194 () (and @t184 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t29)))) % 3.41/3.68 (define @t195 () (@list @t43 @t178)) % 3.41/3.68 (define @t196 () (@list @t43 @t176 @t178)) % 3.41/3.68 (define @t197 () (@list @t40 @t43 @t174)) % 3.41/3.68 (define @t198 () (tptp.hAPP (tptp.hAPP @t59 @t173) @t51)) % 3.41/3.68 (define @t199 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 3.41/3.68 (define @t200 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t18) @t171) (tptp.hAPP @t168 @t18))) % 3.41/3.68 (define @t201 () (= @t62 @t200)) % 3.41/3.68 (define @t202 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 3.41/3.68 (define @t203 () (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP @t202 (tptp.hAPP tptp.c_Com_Obody @t172))) @t51)) % 3.41/3.68 (define @t204 () (tptp.hAPP @t2 @t19)) % 3.41/3.68 (define @t205 () (@var "V_h_2" $$unsorted)) % 3.41/3.68 (define @t206 () (tptp.hAPP @t2 @t48)) % 3.41/3.68 (define @t207 () (tptp.hAPP @t2 @t9)) % 3.41/3.68 (define @t208 () (forall @t17 (= @t207 (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec @t10 @t20 @t205) @t9)))) % 3.41/3.68 (define @t209 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t32) @t33) (tptp.hAPP @t29 @t32))) % 3.41/3.68 (define @t210 () (@list @t30 @t32 @t29 @t33)) % 3.41/3.68 (define @t211 () (@var "V_pn" $$unsorted)) % 3.41/3.68 (define @t212 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t211)) % 3.41/3.68 (define @t213 () (tptp.hAPP tptp.c_Com_Obody @t211)) % 3.41/3.68 (define @t214 () (tptp.hAPP @t202 @t213)) % 3.41/3.68 (define @t215 () (tptp.hAPP @t202 (tptp.hAPP tptp.c_Com_Obody @t33))) % 3.41/3.68 (define @t216 () (@list @t75 @t76 @t10)) % 3.41/3.68 (define @t217 () (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP)) % 3.41/3.68 (define @t218 () (tptp.hAPP @t217 @t78)) % 3.41/3.68 (define @t219 () (@list @t64 @t78)) % 3.41/3.68 (define @t220 () (tptp.c_Natural_Oevalc @t22)) % 3.41/3.68 (define @t221 () (tptp.hAPP @t220 @t18)) % 3.41/3.68 (define @t222 () (tptp.c_Natural_Oevalc @t20)) % 3.41/3.68 (define @t223 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t120) @t18) @t27))) % 3.41/3.68 (define @t224 () (tptp.hAPP (tptp.c_Natural_Oevalc @t117) @t18)) % 3.41/3.68 (define @t225 () (tptp.c_Natural_Oevalc @t106)) % 3.41/3.68 (define @t226 () (tptp.hAPP (tptp.c_Natural_Oevalc @t187) @t18)) % 3.41/3.68 (define @t227 () (@var "V_P" $$unsorted)) % 3.41/3.68 (define @t228 () (tptp.hAPP tptp.c_Com_Obody @t227)) % 3.41/3.68 (define @t229 () (tptp.hAPP @t202 @t228)) % 3.41/3.68 (define @t230 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t227)) % 3.41/3.68 (define @t231 () (@var "V_u" $$unsorted)) % 3.41/3.68 (define @t232 () (tptp.hAPP (tptp.c_Natural_Oevalc @t87) @t78)) % 3.41/3.68 (define @t233 () (tptp.hBOOL (tptp.hAPP @t232 @t64))) % 3.41/3.68 (define @t234 () (@list @t32 @t29 @t33)) % 3.41/3.68 (define @t235 () (@var "V_m" $$unsorted)) % 3.41/3.68 (define @t236 () (tptp.hAPP tptp.c_Nat_OSuc @t235)) % 3.41/3.68 (define @t237 () (@list @t235)) % 3.41/3.68 (define @t238 () (@var "V_nat_H_1" $$unsorted)) % 3.41/3.68 (define @t239 () (@var "V_nat_H" $$unsorted)) % 3.41/3.68 (define @t240 () (tptp.hAPP @t222 @t18)) % 3.41/3.68 (define @t241 () (tptp.c_Natural_Oevaln @t87 @t78 @t65 @t64)) % 3.41/3.68 (define @t242 () (tptp.c_Natural_Oevalc @t34)) % 3.41/3.68 (define @t243 () (tptp.hAPP @t242 @t31)) % 3.41/3.68 (define @t244 () (tptp.hAPP (tptp.c_Natural_Oevalc @t32) @t29)) % 3.41/3.68 (define @t245 () (tptp.hBOOL (tptp.hAPP @t244 @t31))) % 3.41/3.68 (define @t246 () (tptp.hAPP @t242 @t29)) % 3.41/3.68 (define @t247 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t133) @t29) @t30))) % 3.41/3.68 (define @t248 () (tptp.hBOOL (tptp.hAPP @t244 @t30))) % 3.41/3.68 (define @t249 () (@var "V_a" $$unsorted)) % 3.41/3.68 (define @t250 () (@list @t249)) % 3.41/3.68 (define @t251 () (@var "V_fa_2" $$unsorted)) % 3.41/3.68 (define @t252 () (tptp.hAPP tptp.c_Nat_OSuc @t9)) % 3.41/3.68 (define @t253 () (@list @t44 @t154 @t155)) % 3.41/3.68 (define @t254 () (@list @t44 @t155)) % 3.41/3.68 (define @t255 () (@var "V_pname" $$unsorted)) % 3.41/3.68 (define @t256 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t255)) % 3.41/3.68 (define @t257 () (@list @t255)) % 3.41/3.68 (define @t258 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 3.41/3.68 (define @t259 () (tptp.hAPP tptp.c_Nat_OSuc @t199)) % 3.41/3.68 (define @t260 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 3.41/3.68 (define @t261 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t258 @t41)) @t259)) % 3.41/3.68 (define @t262 () (@list @t41 @t44 @t150)) % 3.41/3.68 (define @t263 () (@list @t190 @t191)) % 3.41/3.68 (define @t264 () (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Com_Ocom_Ocom__size @t41)) @t259)) % 3.41/3.68 (define @t265 () (@list @t110 @t111 @t44)) % 3.41/3.68 (define @t266 () (@list @t41 @t44)) % 3.41/3.68 (define @t267 () (@var "B_y" $$unsorted)) % 3.41/3.68 (define @t268 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 3.41/3.68 (define @t269 () (tptp.hAPP @t268 @t267)) % 3.41/3.68 (define @t270 () (@list @t267)) % 3.41/3.68 (define @t271 () (@list @t168)) % 3.41/3.68 (define @t272 () (@var "V_b" $$unsorted)) % 3.41/3.68 (define @t273 () (= @t272 @t87)) % 3.41/3.68 (define @t274 () (tptp.c_Groups_Oplus__class_Oplus @t66)) % 3.41/3.68 (define @t275 () (tptp.hAPP @t274 @t87)) % 3.41/3.68 (define @t276 () (tptp.hAPP @t275 @t249)) % 3.41/3.68 (define @t277 () (tptp.hAPP @t274 @t272)) % 3.41/3.68 (define @t278 () (tptp.hAPP @t277 @t249)) % 3.41/3.68 (define @t279 () (tptp.class_Groups_Ocancel__semigroup__add @t66)) % 3.41/3.68 (define @t280 () (@list @t87 @t249 @t272 @t66)) % 3.41/3.68 (define @t281 () (tptp.hAPP @t274 @t249)) % 3.41/3.68 (define @t282 () (tptp.hAPP @t281 @t87)) % 3.41/3.68 (define @t283 () (tptp.hAPP @t281 @t272)) % 3.41/3.68 (define @t284 () (=> (= @t283 @t282) @t273)) % 3.41/3.68 (define @t285 () (@list @t87 @t272 @t249 @t66)) % 3.41/3.68 (define @t286 () (= @t21 @t20)) % 3.41/3.68 (define @t287 () (tptp.c_Groups_Oplus__class_Oplus @t10)) % 3.41/3.68 (define @t288 () (tptp.hAPP @t287 @t20)) % 3.41/3.68 (define @t289 () (tptp.hAPP @t288 @t168)) % 3.41/3.68 (define @t290 () (tptp.hAPP @t287 @t21)) % 3.41/3.68 (define @t291 () (tptp.hAPP @t290 @t168)) % 3.41/3.68 (define @t292 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 3.41/3.68 (define @t293 () (tptp.hAPP @t287 @t168)) % 3.41/3.68 (define @t294 () (tptp.hAPP @t293 @t20)) % 3.41/3.68 (define @t295 () (tptp.hAPP @t293 @t21)) % 3.41/3.68 (define @t296 () (@list @t20 @t21 @t168 @t10)) % 3.41/3.68 (define @t297 () (tptp.hAPP @t277 @t87)) % 3.41/3.68 (define @t298 () (tptp.hAPP @t274 @t283)) % 3.41/3.68 (define @t299 () (tptp.hAPP @t298 @t87)) % 3.41/3.68 (define @t300 () (= @t299 (tptp.hAPP @t281 @t297))) % 3.41/3.68 (define @t301 () (tptp.hAPP @t260 @t65)) % 3.41/3.68 (define @t302 () (tptp.hAPP @t301 @t235)) % 3.41/3.68 (define @t303 () (tptp.hAPP @t260 @t235)) % 3.41/3.68 (define @t304 () (tptp.hAPP @t303 @t65)) % 3.41/3.68 (define @t305 () (@list @t65 @t235)) % 3.41/3.68 (define @t306 () (@var "V_z" $$unsorted)) % 3.41/3.68 (define @t307 () (tptp.hAPP @t260 @t101)) % 3.41/3.68 (define @t308 () (tptp.hAPP @t260 @t100)) % 3.41/3.69 (define @t309 () (tptp.hAPP @t308 @t306)) % 3.41/3.69 (define @t310 () (@list @t306 @t100 @t101)) % 3.41/3.69 (define @t311 () (@var "V_k" $$unsorted)) % 3.41/3.69 (define @t312 () (tptp.hAPP @t301 @t311)) % 3.41/3.69 (define @t313 () (@list @t311 @t65 @t235)) % 3.41/3.69 (define @t314 () (@var "V_m_2" $$unsorted)) % 3.41/3.69 (define @t315 () (= @t314 @t19)) % 3.41/3.69 (define @t316 () (@var "V_k_2" $$unsorted)) % 3.41/3.69 (define @t317 () (tptp.hAPP @t260 @t316)) % 3.41/3.69 (define @t318 () (tptp.hAPP @t317 @t19)) % 3.41/3.69 (define @t319 () (tptp.hAPP @t317 @t314)) % 3.41/3.69 (define @t320 () (@list @t19 @t314 @t316)) % 3.41/3.69 (define @t321 () (tptp.hAPP @t260 @t19)) % 3.41/3.69 (define @t322 () (tptp.hAPP @t321 @t316)) % 3.41/3.69 (define @t323 () (tptp.hAPP @t260 @t314)) % 3.41/3.69 (define @t324 () (tptp.hAPP @t323 @t316)) % 3.41/3.69 (define @t325 () (@list @t19 @t316 @t314)) % 3.41/3.69 (define @t326 () (tptp.c_Groups_Ozero__class_Ozero @t66)) % 3.41/3.69 (define @t327 () (= (tptp.hAPP @t281 @t326) @t249)) % 3.41/3.69 (define @t328 () (tptp.class_Groups_Ocomm__monoid__add @t66)) % 3.41/3.69 (define @t329 () (@list @t249 @t66)) % 3.41/3.69 (define @t330 () (tptp.class_Groups_Omonoid__add @t66)) % 3.41/3.69 (define @t331 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 3.41/3.69 (define @t332 () (= @t168 @t331)) % 3.41/3.69 (define @t333 () (tptp.hAPP @t293 @t168)) % 3.41/3.69 (define @t334 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 3.41/3.69 (define @t335 () (@list @t168 @t10)) % 3.41/3.69 (define @t336 () (tptp.hAPP @t274 @t326)) % 3.41/3.69 (define @t337 () (= (tptp.hAPP @t336 @t249) @t249)) % 3.41/3.69 (define @t338 () (= @t19 @t199)) % 3.41/3.69 (define @t339 () (= @t314 @t199)) % 3.41/3.69 (define @t340 () (tptp.hAPP @t323 @t19)) % 3.41/3.69 (define @t341 () (@list @t19 @t314)) % 3.41/3.69 (define @t342 () (= @t65 @t199)) % 3.41/3.69 (define @t343 () (tptp.hAPP @t303 @t67)) % 3.41/3.69 (define @t344 () (tptp.hAPP (tptp.hAPP @t260 @t236) @t65)) % 3.41/3.69 (define @t345 () (tptp.hAPP tptp.c_Nat_OSuc @t304)) % 3.41/3.69 (define @t346 () (= @t19 @t259)) % 3.41/3.69 (define @t347 () (= @t314 @t259)) % 3.41/3.69 (define @t348 () (or (and @t347 @t338) (and @t339 @t346))) % 3.41/3.69 (define @t349 () (@var "V_x_2" $$unsorted)) % 3.41/3.69 (define @t350 () (= @t349 @t331)) % 3.41/3.69 (define @t351 () (@list @t349 @t10)) % 3.41/3.69 (define @t352 () (tptp.c_Option_Ooption_OSome @t66)) % 3.41/3.69 (define @t353 () (@list @t101 @t66)) % 3.41/3.69 (define @t354 () (tptp.c_Option_Ooption_OSome @t10)) % 3.41/3.69 (define @t355 () (= @t349 (tptp.hAPP @t354 @t267))) % 3.41/3.69 (define @t356 () (tptp.c_Option_Ooption_ONone @t10)) % 3.41/3.69 (define @t357 () (= @t349 @t356)) % 3.41/3.69 (define @t358 () (@list @t10 @t349)) % 3.41/3.69 (define @t359 () (tptp.c_Option_Ooption_ONone @t66)) % 3.41/3.69 (define @t360 () (@var "V_a_H" $$unsorted)) % 3.41/3.69 (define @t361 () (tptp.hAPP @t352 @t360)) % 3.41/3.69 (define @t362 () (@list @t360 @t66)) % 3.41/3.69 (define @t363 () (tptp.hAPP @t260 (tptp.hAPP @t251 @t168))) % 3.41/3.69 (define @t364 () (tptp.hAPP @t363 @t259)) % 3.41/3.69 (define @t365 () (tptp.hAPP @t354 @t168)) % 3.41/3.69 (define @t366 () (= (= @t333 @t331) @t332)) % 3.41/3.69 (define @t367 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10)) % 3.41/3.69 (define @t368 () (@list @t168 @t21 @t10)) % 3.41/3.69 (define @t369 () (tptp.class_Rings_Ocomm__semiring__1 @t66)) % 3.41/3.69 (define @t370 () (@var "V_d" $$unsorted)) % 3.41/3.69 (define @t371 () (tptp.hAPP @t275 @t370)) % 3.41/3.69 (define @t372 () (tptp.hAPP @t281 @t371)) % 3.41/3.69 (define @t373 () (@list @t370 @t87 @t249 @t66)) % 3.41/3.69 (define @t374 () (tptp.hAPP @t274 @t282)) % 3.41/3.69 (define @t375 () (tptp.hAPP @t277 @t370)) % 3.41/3.69 (define @t376 () (@list @t370 @t87 @t272 @t249 @t66)) % 3.41/3.69 (define @t377 () (@list @t251 @t10)) % 3.41/3.69 (define @t378 () (@var "V_a_H_2" $$unsorted)) % 3.41/3.69 (define @t379 () (= @t168 @t378)) % 3.41/3.69 (define @t380 () (@var "V_nat" $$unsorted)) % 3.41/3.69 (define @t381 () (tptp.hAPP tptp.c_Nat_OSuc @t380)) % 3.41/3.69 (define @t382 () (@list @t380)) % 3.41/3.69 (define @t383 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t384 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_Option_Ooption @t66))) % 3.41/3.69 (define @t385 () (@list @t66)) % 3.41/3.69 (define @t386 () (tptp.hAPP @t75 @t168)) % 3.41/3.69 (define @t387 () (tptp.c_Option_Ooption_OSome @t92)) % 3.41/3.69 (define @t388 () (tptp.hAPP @t387 @t168)) % 3.41/3.69 (define @t389 () (@list @t168 @t75 @t76 @t92 @t10)) % 3.41/3.69 (define @t390 () (tptp.c_Option_Ooption_Ooption__case @t10 @t92 @t76 @t75)) % 3.41/3.69 (define @t391 () (tptp.c_Option_Ooption_ONone @t92)) % 3.41/3.69 (define @t392 () (@list @t75 @t76 @t92 @t10)) % 3.41/3.69 (define @t393 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t394 () (tptp.hAPP @t2 @t199)) % 3.41/3.69 (define @t395 () (@var "V_fb_2" $$unsorted)) % 3.41/3.69 (define @t396 () (tptp.hAPP @t395 @t21)) % 3.41/3.69 (define @t397 () (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t92 @t168 @t21)) % 3.41/3.69 (define @t398 () (tptp.c_Sum__Type_OInl @t10 @t92)) % 3.41/3.69 (define @t399 () (tptp.hAPP @t398 @t168)) % 3.41/3.69 (define @t400 () (tptp.c_Sum__Type_OInr @t92 @t10)) % 3.41/3.69 (define @t401 () (tptp.hAPP @t400 @t21)) % 3.41/3.69 (define @t402 () (@var "B_a" $$unsorted)) % 3.41/3.69 (define @t403 () (@list @t402)) % 3.41/3.69 (define @t404 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t405 () (tptp.hAPP @t404 @t199)) % 3.41/3.69 (define @t406 () (@var "B_m" $$unsorted)) % 3.41/3.69 (define @t407 () (tptp.hAPP tptp.c_Nat_OSuc @t406)) % 3.41/3.69 (define @t408 () (@list @t406)) % 3.41/3.69 (define @t409 () (exists @t408 (= @t65 @t407))) % 3.41/3.69 (define @t410 () (not @t342)) % 3.41/3.69 (define @t411 () (tptp.hAPP @t404 @t65)) % 3.41/3.69 (define @t412 () (tptp.hAPP @t404 @t236)) % 3.41/3.69 (define @t413 () (tptp.hBOOL (tptp.hAPP @t412 @t67))) % 3.41/3.69 (define @t414 () (tptp.hAPP @t404 @t235)) % 3.41/3.69 (define @t415 () (tptp.hBOOL (tptp.hAPP @t414 @t65))) % 3.41/3.69 (define @t416 () (tptp.hAPP @t55 @t19)) % 3.41/3.69 (define @t417 () (tptp.hBOOL (tptp.hAPP @t416 @t314))) % 3.41/3.69 (define @t418 () (tptp.hAPP @t404 @t19)) % 3.41/3.69 (define @t419 () (tptp.hBOOL (tptp.hAPP @t418 @t314))) % 3.41/3.69 (define @t420 () (tptp.hAPP @t404 @t314)) % 3.41/3.69 (define @t421 () (tptp.hBOOL (tptp.hAPP @t420 @t19))) % 3.41/3.69 (define @t422 () (= @t235 @t65)) % 3.41/3.69 (define @t423 () (not @t422)) % 3.41/3.69 (define @t424 () (tptp.hBOOL (tptp.hAPP @t411 @t235))) % 3.41/3.69 (define @t425 () (@list @t235 @t65)) % 3.41/3.69 (define @t426 () (tptp.hAPP @t404 @t101)) % 3.41/3.69 (define @t427 () (tptp.hBOOL (tptp.hAPP @t426 @t100))) % 3.41/3.69 (define @t428 () (not @t102)) % 3.41/3.69 (define @t429 () (not @t315)) % 3.41/3.69 (define @t430 () (@var "V_b_H_2" $$unsorted)) % 3.41/3.69 (define @t431 () (= @t21 @t430)) % 3.41/3.69 (define @t432 () (and @t379 @t431)) % 3.41/3.69 (define @t433 () (@list @t430 @t378 @t21 @t168 @t92 @t10)) % 3.41/3.69 (define @t434 () (tptp.c_Orderings_Oord__class_Oless @t10)) % 3.41/3.69 (define @t435 () (tptp.hAPP @t434 @t168)) % 3.41/3.69 (define @t436 () (tptp.hBOOL (tptp.hAPP @t435 @t21))) % 3.41/3.69 (define @t437 () (tptp.hAPP @t290 @t20)) % 3.41/3.69 (define @t438 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 3.41/3.69 (define @t439 () (@list @t21 @t20 @t168 @t10)) % 3.41/3.69 (define @t440 () (tptp.hAPP @t288 @t21)) % 3.41/3.69 (define @t441 () (@list @t21 @t168 @t20 @t10)) % 3.41/3.69 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t66)) % 3.41/3.69 (define @t443 () (tptp.hAPP @t442 @t282)) % 3.41/3.69 (define @t444 () (tptp.hBOOL (tptp.hAPP @t443 @t297))) % 3.41/3.69 (define @t445 () (tptp.hAPP @t442 @t249)) % 3.41/3.69 (define @t446 () (tptp.hBOOL (tptp.hAPP @t445 @t272))) % 3.41/3.69 (define @t447 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t66)) % 3.41/3.69 (define @t448 () (tptp.hAPP @t275 @t272)) % 3.41/3.69 (define @t449 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t276) @t448))) % 3.41/3.69 (define @t450 () (tptp.hBOOL (tptp.hAPP @t443 @t375))) % 3.41/3.69 (define @t451 () (tptp.hAPP @t442 @t87)) % 3.41/3.69 (define @t452 () (tptp.hBOOL (tptp.hAPP @t451 @t370))) % 3.41/3.69 (define @t453 () (=> @t452 @t450)) % 3.41/3.69 (define @t454 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t66)) % 3.41/3.69 (define @t455 () (@list @t272 @t87 @t249 @t66)) % 3.41/3.69 (define @t456 () (@list @t272 @t249 @t87 @t66)) % 3.41/3.69 (define @t457 () (tptp.hBOOL (tptp.hAPP @t405 @t65))) % 3.41/3.69 (define @t458 () (tptp.hBOOL (tptp.hAPP @t405 @t19))) % 3.41/3.69 (define @t459 () (not @t338)) % 3.41/3.69 (define @t460 () (@list @t19)) % 3.41/3.69 (define @t461 () (tptp.hAPP tptp.c_Nat_OSuc @t314)) % 3.41/3.69 (define @t462 () (tptp.hBOOL (tptp.hAPP @t418 @t461))) % 3.41/3.69 (define @t463 () (or @t421 @t315)) % 3.41/3.69 (define @t464 () (tptp.hBOOL (tptp.hAPP @t420 @t48))) % 3.41/3.69 (define @t465 () (= @t19 @t314)) % 3.41/3.69 (define @t466 () (= @t462 @t465)) % 3.41/3.69 (define @t467 () (not @t419)) % 3.41/3.69 (define @t468 () (@list @t314 @t19)) % 3.41/3.69 (define @t469 () (tptp.hBOOL (tptp.hAPP @t414 @t67))) % 3.41/3.69 (define @t470 () (tptp.hBOOL (tptp.hAPP @t412 @t65))) % 3.41/3.69 (define @t471 () (@var "V_i" $$unsorted)) % 3.41/3.69 (define @t472 () (tptp.hAPP tptp.c_Nat_OSuc @t471)) % 3.41/3.69 (define @t473 () (@var "V_j" $$unsorted)) % 3.41/3.69 (define @t474 () (tptp.hAPP @t404 @t473)) % 3.41/3.69 (define @t475 () (tptp.hBOOL (tptp.hAPP @t474 @t311))) % 3.41/3.69 (define @t476 () (tptp.hAPP @t404 @t471)) % 3.41/3.69 (define @t477 () (tptp.hBOOL (tptp.hAPP @t476 @t473))) % 3.41/3.69 (define @t478 () (@list @t311 @t473 @t471)) % 3.41/3.69 (define @t479 () (not @t415)) % 3.41/3.69 (define @t480 () (tptp.hAPP @t260 @t471)) % 3.41/3.69 (define @t481 () (tptp.hAPP @t480 @t473)) % 3.41/3.69 (define @t482 () (tptp.hAPP @t404 @t481)) % 3.41/3.69 (define @t483 () (tptp.hAPP @t260 @t311)) % 3.41/3.69 (define @t484 () (tptp.hAPP @t483 @t65)) % 3.41/3.69 (define @t485 () (@var "V_l" $$unsorted)) % 3.41/3.69 (define @t486 () (tptp.hAPP @t404 @t311)) % 3.41/3.69 (define @t487 () (tptp.hBOOL (tptp.hAPP @t486 @t485))) % 3.41/3.69 (define @t488 () (tptp.hAPP @t260 @t473)) % 3.41/3.69 (define @t489 () (tptp.hAPP @t488 @t485)) % 3.41/3.69 (define @t490 () (tptp.hAPP @t480 @t311)) % 3.41/3.69 (define @t491 () (tptp.hAPP @t404 @t490)) % 3.41/3.69 (define @t492 () (@list @t485 @t311 @t473 @t471)) % 3.41/3.69 (define @t493 () (tptp.hAPP @t488 @t311)) % 3.41/3.69 (define @t494 () (tptp.hAPP @t303 @t473)) % 3.41/3.69 (define @t495 () (@list @t235 @t473 @t471)) % 3.41/3.69 (define @t496 () (tptp.hAPP @t488 @t235)) % 3.41/3.69 (define @t497 () (tptp.hAPP @t488 @t471)) % 3.41/3.69 (define @t498 () (@list @t471 @t473)) % 3.41/3.69 (define @t499 () (@list @t473 @t471)) % 3.41/3.69 (define @t500 () (tptp.hBOOL (tptp.hAPP @t435 @t331))) % 3.41/3.69 (define @t501 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t333) @t331)) @t500)) % 3.41/3.69 (define @t502 () (tptp.class_Rings_Olinordered__idom @t10)) % 3.41/3.69 (define @t503 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t283) @t326))) % 3.41/3.69 (define @t504 () (tptp.hAPP @t442 @t272)) % 3.41/3.69 (define @t505 () (tptp.hBOOL (tptp.hAPP @t504 @t326))) % 3.41/3.69 (define @t506 () (=> @t505 @t503)) % 3.41/3.69 (define @t507 () (tptp.hBOOL (tptp.hAPP @t445 @t326))) % 3.41/3.69 (define @t508 () (tptp.class_Groups_Oordered__comm__monoid__add @t66)) % 3.41/3.69 (define @t509 () (@list @t272 @t249 @t66)) % 3.41/3.69 (define @t510 () (tptp.hAPP @t442 @t326)) % 3.41/3.69 (define @t511 () (tptp.hBOOL (tptp.hAPP @t510 @t283))) % 3.41/3.69 (define @t512 () (tptp.hBOOL (tptp.hAPP @t510 @t272))) % 3.41/3.69 (define @t513 () (=> @t512 @t511)) % 3.41/3.69 (define @t514 () (tptp.hBOOL (tptp.hAPP @t510 @t249))) % 3.41/3.69 (define @t515 () (tptp.hAPP @t434 @t331)) % 3.41/3.69 (define @t516 () (tptp.hBOOL (tptp.hAPP @t515 @t168))) % 3.41/3.69 (define @t517 () (@var "B_j" $$unsorted)) % 3.41/3.69 (define @t518 () (tptp.hAPP @t404 @t517)) % 3.41/3.69 (define @t519 () (@list @t517)) % 3.41/3.69 (define @t520 () (= @t19 @t407)) % 3.41/3.69 (define @t521 () (tptp.hBOOL (tptp.hAPP @t405 @t314))) % 3.41/3.69 (define @t522 () (@var "B_k" $$unsorted)) % 3.41/3.69 (define @t523 () (tptp.hAPP @t323 @t522)) % 3.41/3.69 (define @t524 () (@list @t522)) % 3.41/3.69 (define @t525 () (@list @t235 @t471)) % 3.41/3.69 (define @t526 () (tptp.hAPP @t480 @t235)) % 3.41/3.69 (define @t527 () (@list @t272 @t249 @t10 @t66)) % 3.41/3.69 (define @t528 () (tptp.hAPP @t76 @t168)) % 3.41/3.69 (define @t529 () (tptp.hAPP @t528 @t21)) % 3.41/3.69 (define @t530 () (@var "T_d" $$unsorted)) % 3.41/3.69 (define @t531 () (tptp.c_Nitpick_Opair__box_OPairBox @t92 @t530 @t168 @t21)) % 3.41/3.69 (define @t532 () (@list @t21 @t168 @t76 @t10 @t530 @t92)) % 3.41/3.69 (define @t533 () (tptp.hBOOL (tptp.hAPP @t504 @t282))) % 3.41/3.69 (define @t534 () (tptp.hBOOL (tptp.hAPP @t504 @t87))) % 3.41/3.69 (define @t535 () (=> @t534 @t533)) % 3.41/3.69 (define @t536 () (tptp.class_Rings_Olinordered__semidom @t66)) % 3.41/3.69 (define @t537 () (tptp.c_Sum__Type_OInr @t10 @t66)) % 3.41/3.69 (define @t538 () (tptp.hAPP @t537 @t272)) % 3.41/3.69 (define @t539 () (tptp.c_Sum__Type_OInl @t66 @t10)) % 3.41/3.69 (define @t540 () (tptp.hAPP @t539 @t249)) % 3.41/3.69 (define @t541 () (@var "V_b_H" $$unsorted)) % 3.41/3.69 (define @t542 () (@var "V_a_1" $$unsorted)) % 3.41/3.69 (define @t543 () (@var "T_b_1" $$unsorted)) % 3.41/3.69 (define @t544 () (@var "T_a_1" $$unsorted)) % 3.41/3.69 (define @t545 () (@var "V_b_H_1" $$unsorted)) % 3.41/3.69 (define @t546 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_sum @t66 @t10))) % 3.41/3.69 (define @t547 () (tptp.hBOOL (tptp.hAPP @t426 @t309))) % 3.41/3.69 (define @t548 () (tptp.hAPP @t442 @t100)) % 3.41/3.69 (define @t549 () (tptp.hBOOL (tptp.hAPP @t548 @t101))) % 3.41/3.69 (define @t550 () (tptp.hAPP @t442 @t101)) % 3.41/3.69 (define @t551 () (tptp.hBOOL (tptp.hAPP @t550 @t100))) % 3.41/3.69 (define @t552 () (not @t551)) % 3.41/3.69 (define @t553 () (=> @t428 (=> @t552 @t549))) % 3.41/3.69 (define @t554 () (tptp.class_Rings_Olinordered__idom @t66)) % 3.41/3.69 (define @t555 () (@list @t100 @t101 @t66)) % 3.41/3.69 (define @t556 () (tptp.hAPP @t537 @t101)) % 3.41/3.69 (define @t557 () (tptp.hAPP @t539 @t101)) % 3.41/3.69 (define @t558 () (@list @t100 @t306 @t101)) % 3.41/3.69 (define @t559 () (@list @t101 @t10 @t66)) % 3.41/3.69 (define @t560 () (tptp.c_Sum__Type_OInl @t92 @t530)) % 3.41/3.69 (define @t561 () (tptp.hAPP @t560 @t168)) % 3.41/3.69 (define @t562 () (@list @t168 @t75 @t76 @t530 @t10 @t92)) % 3.41/3.69 (define @t563 () (tptp.hAPP @t75 @t21)) % 3.41/3.69 (define @t564 () (tptp.hAPP (tptp.c_Sum__Type_OInr @t530 @t92) @t21)) % 3.41/3.69 (define @t565 () (@list @t21 @t75 @t76 @t530 @t10 @t92)) % 3.41/3.69 (define @t566 () (tptp.hAPP @t2 @t349)) % 3.41/3.69 (define @t567 () (@list @t349 @t2 @t530 @t10 @t92)) % 3.41/3.69 (define @t568 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10)) % 3.41/3.69 (define @t569 () (tptp.hAPP @t568 @t19)) % 3.41/3.69 (define @t570 () (tptp.class_Rings_Olinordered__semidom @t10)) % 3.41/3.69 (define @t571 () (@list @t19 @t10)) % 3.41/3.69 (define @t572 () (tptp.hAPP @t568 @t314)) % 3.41/3.69 (define @t573 () (tptp.class_Nat_Osemiring__char__0 @t10)) % 3.41/3.69 (define @t574 () (@list @t19 @t314 @t10)) % 3.41/3.69 (define @t575 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 3.41/3.69 (define @t576 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 3.41/3.69 (define @t577 () (tptp.hAPP @t576 @t19)) % 3.41/3.69 (define @t578 () (tptp.hAPP @t576 @t199)) % 3.41/3.69 (define @t579 () (tptp.hAPP @t576 @t252)) % 3.41/3.69 (define @t580 () (@var "V_w_2" $$unsorted)) % 3.41/3.69 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 3.41/3.69 (define @t582 () (tptp.hAPP @t581 @t580)) % 3.41/3.69 (define @t583 () (@var "V_z_2" $$unsorted)) % 3.41/3.69 (define @t584 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 3.41/3.69 (define @t585 () (tptp.hAPP @t584 @t580)) % 3.41/3.69 (define @t586 () (tptp.hBOOL (tptp.hAPP @t585 @t583))) % 3.41/3.69 (define @t587 () (@list @t583 @t580)) % 3.41/3.69 (define @t588 () (tptp.hAPP @t576 @t314)) % 3.41/3.69 (define @t589 () (tptp.hAPP @t584 @t588)) % 3.41/3.69 (define @t590 () (tptp.hAPP @t576 @t304)) % 3.41/3.69 (define @t591 () (tptp.hAPP @t576 @t65)) % 3.41/3.69 (define @t592 () (tptp.hAPP @t576 @t235)) % 3.41/3.69 (define @t593 () (tptp.hAPP @t581 @t592)) % 3.41/3.69 (define @t594 () (tptp.hAPP @t584 @t575)) % 3.41/3.69 (define @t595 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t66)) % 3.41/3.69 (define @t596 () (tptp.hAPP @t595 @t235)) % 3.41/3.69 (define @t597 () (tptp.hAPP @t442 @t596)) % 3.41/3.69 (define @t598 () (@list @t235 @t66)) % 3.41/3.69 (define @t599 () (tptp.class_Rings_Osemiring__1 @t66)) % 3.41/3.69 (define @t600 () (tptp.hAPP @t595 @t65)) % 3.41/3.69 (define @t601 () (tptp.hBOOL (tptp.hAPP @t597 @t600))) % 3.41/3.69 (define @t602 () (@list @t65 @t235 @t66)) % 3.41/3.69 (define @t603 () (tptp.hAPP @t2 @t314)) % 3.41/3.69 (define @t604 () (tptp.hAPP @t434 @t204)) % 3.41/3.69 (define @t605 () (forall @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t207) (tptp.hAPP @t2 @t252))))) % 3.41/3.69 (define @t606 () (tptp.class_Orderings_Oorder @t10)) % 3.41/3.69 (define @t607 () (@var "V_n_H_2" $$unsorted)) % 3.41/3.69 (define @t608 () (tptp.hAPP @t576 @t100)) % 3.41/3.69 (define @t609 () (tptp.hAPP @t576 @t101)) % 3.41/3.69 (define @t610 () (@var "V_y_2" $$unsorted)) % 3.41/3.69 (define @t611 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t349) @t610))) % 3.41/3.69 (define @t612 () (tptp.hAPP @t576 @t610)) % 3.41/3.69 (define @t613 () (tptp.hAPP @t576 @t349)) % 3.41/3.69 (define @t614 () (@list @t610 @t349)) % 3.41/3.69 (define @t615 () (tptp.class_Orderings_Opreorder @t66)) % 3.41/3.69 (define @t616 () (tptp.hAPP @t434 @t610)) % 3.41/3.69 (define @t617 () (tptp.hBOOL (tptp.hAPP @t616 @t349))) % 3.41/3.69 (define @t618 () (tptp.hAPP @t434 @t349)) % 3.41/3.69 (define @t619 () (tptp.hBOOL (tptp.hAPP @t618 @t610))) % 3.41/3.69 (define @t620 () (= @t349 @t610)) % 3.41/3.69 (define @t621 () (not @t620)) % 3.41/3.69 (define @t622 () (tptp.class_Orderings_Olinorder @t10)) % 3.41/3.69 (define @t623 () (@list @t610 @t349 @t10)) % 3.41/3.69 (define @t624 () (not @t619)) % 3.41/3.69 (define @t625 () (tptp.class_Orderings_Olinorder @t66)) % 3.41/3.69 (define @t626 () (= @t624 @t620)) % 3.41/3.69 (define @t627 () (@list @t349 @t610 @t10)) % 3.41/3.69 (define @t628 () (tptp.hAPP @t576 @t311)) % 3.41/3.69 (define @t629 () (@list @t311)) % 3.41/3.69 (define @t630 () (@var "V_z3" $$unsorted)) % 3.41/3.69 (define @t631 () (@var "V_z2" $$unsorted)) % 3.41/3.69 (define @t632 () (@var "V_z1" $$unsorted)) % 3.41/3.69 (define @t633 () (tptp.hAPP @t581 @t632)) % 3.41/3.69 (define @t634 () (tptp.hAPP @t633 @t631)) % 3.41/3.69 (define @t635 () (@list @t630 @t631 @t632)) % 3.41/3.69 (define @t636 () (tptp.hAPP @t581 @t101)) % 3.41/3.69 (define @t637 () (tptp.hAPP @t581 @t100)) % 3.41/3.69 (define @t638 () (@var "V_w" $$unsorted)) % 3.41/3.69 (define @t639 () (tptp.hAPP @t581 @t638)) % 3.41/3.69 (define @t640 () (tptp.hAPP @t639 @t306)) % 3.41/3.69 (define @t641 () (tptp.hAPP @t581 @t306)) % 3.41/3.69 (define @t642 () (tptp.hAPP @t641 @t638)) % 3.41/3.69 (define @t643 () (@list @t638 @t306)) % 3.41/3.69 (define @t644 () (@list @t306)) % 3.41/3.69 (define @t645 () (tptp.hAPP @t581 @t471)) % 3.41/3.69 (define @t646 () (tptp.hAPP @t584 @t471)) % 3.41/3.69 (define @t647 () (tptp.hBOOL (tptp.hAPP @t646 @t473))) % 3.41/3.69 (define @t648 () (tptp.hAPP @t584 @t100)) % 3.41/3.69 (define @t649 () (tptp.hAPP @t584 @t101)) % 3.41/3.69 (define @t650 () (tptp.hAPP @t442 @t306)) % 3.41/3.69 (define @t651 () (tptp.hBOOL (tptp.hAPP @t650 @t101))) % 3.41/3.69 (define @t652 () (=> (tptp.hBOOL (tptp.hAPP @t650 @t100)) @t651)) % 3.41/3.69 (define @t653 () (tptp.class_Orderings_Oorder @t66)) % 3.41/3.69 (define @t654 () (@list @t306 @t101 @t100 @t66)) % 3.41/3.69 (define @t655 () (tptp.hBOOL (tptp.hAPP @t550 @t306))) % 3.41/3.69 (define @t656 () (=> (tptp.hBOOL (tptp.hAPP @t548 @t306)) @t655)) % 3.41/3.69 (define @t657 () (@list @t306 @t100 @t101 @t66)) % 3.41/3.69 (define @t658 () (tptp.hBOOL (tptp.hAPP @t451 @t249))) % 3.41/3.69 (define @t659 () (tptp.hBOOL (tptp.hAPP @t504 @t249))) % 3.41/3.69 (define @t660 () (tptp.hBOOL (tptp.hAPP @t445 @t87))) % 3.41/3.69 (define @t661 () (tptp.class_Orderings_Oord @t66)) % 3.41/3.69 (define @t662 () (= @t249 @t272)) % 3.41/3.69 (define @t663 () (@list @t249 @t272 @t66)) % 3.41/3.69 (define @t664 () (not (= @t100 @t101))) % 3.41/3.69 (define @t665 () (tptp.hAPP @t576 @t9)) % 3.41/3.69 (define @t666 () (tptp.hBOOL (tptp.hAPP @t405 @t9))) % 3.41/3.69 (define @t667 () (tptp.hBOOL (tptp.hAPP @t594 @t311))) % 3.41/3.69 (define @t668 () (tptp.hBOOL (tptp.hAPP @t594 @t583))) % 3.41/3.69 (define @t669 () (tptp.c_Int_Oring__1__class_Oof__int @t10)) % 3.41/3.69 (define @t670 () (tptp.hAPP @t669 @t583)) % 3.41/3.69 (define @t671 () (@list @t583 @t10)) % 3.41/3.69 (define @t672 () (tptp.hAPP @t584 @t583)) % 3.41/3.69 (define @t673 () (tptp.hBOOL (tptp.hAPP @t672 @t575))) % 3.41/3.69 (define @t674 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 3.41/3.69 (define @t675 () (tptp.hAPP @t674 @t628)) % 3.41/3.69 (define @t676 () (tptp.hBOOL (tptp.hAPP @t405 @t311))) % 3.41/3.69 (define @t677 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 3.41/3.69 (define @t678 () (tptp.hAPP @t677 (tptp.hAPP @t576 @t67))) % 3.41/3.69 (define @t679 () (tptp.hAPP @t584 @t678)) % 3.41/3.69 (define @t680 () (tptp.hBOOL (tptp.hAPP @t55 @t199))) % 3.41/3.69 (define @t681 () (tptp.hAPP @t584 @t143)) % 3.41/3.69 (define @t682 () (tptp.hAPP tptp.c_Int_Onat @t143)) % 3.41/3.69 (define @t683 () (@list @t143 @t55)) % 3.41/3.69 (define @t684 () (tptp.hAPP tptp.c_Int_Onat @t583)) % 3.41/3.69 (define @t685 () (@list @t583)) % 3.41/3.69 (define @t686 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 3.41/3.69 (define @t687 () (tptp.hAPP @t581 @t686)) % 3.41/3.69 (define @t688 () (tptp.c_Groups_Oone__class_Oone @t66)) % 3.41/3.69 (define @t689 () (tptp.hAPP @t281 @t688)) % 3.41/3.69 (define @t690 () (tptp.c_Groups_Otimes__class_Otimes @t66)) % 3.41/3.69 (define @t691 () (tptp.hAPP (tptp.hAPP @t690 @t689) @t235)) % 3.41/3.69 (define @t692 () (tptp.hAPP @t690 @t249)) % 3.41/3.69 (define @t693 () (tptp.hAPP @t692 @t235)) % 3.41/3.69 (define @t694 () (tptp.hAPP @t274 @t693)) % 3.41/3.69 (define @t695 () (tptp.hAPP @t274 @t235)) % 3.41/3.69 (define @t696 () (tptp.hAPP @t274 @t688)) % 3.41/3.69 (define @t697 () (tptp.hAPP @t696 @t688)) % 3.41/3.69 (define @t698 () (tptp.hAPP @t690 @t697)) % 3.41/3.69 (define @t699 () (tptp.hAPP @t442 @t688)) % 3.41/3.69 (define @t700 () (tptp.c_Groups_Ouminus__class_Ouminus @t10)) % 3.41/3.69 (define @t701 () (tptp.hAPP @t700 @t21)) % 3.41/3.69 (define @t702 () (= @t168 @t701)) % 3.41/3.69 (define @t703 () (= @t168 @t21)) % 3.41/3.69 (define @t704 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 3.41/3.69 (define @t705 () (tptp.hAPP @t704 @t21)) % 3.41/3.69 (define @t706 () (tptp.hAPP @t704 @t168)) % 3.41/3.69 (define @t707 () (tptp.class_Rings_Oidom @t10)) % 3.41/3.69 (define @t708 () (@list @t21 @t168 @t10)) % 3.41/3.69 (define @t709 () (tptp.c_Groups_Oone__class_Oone @t10)) % 3.41/3.69 (define @t710 () (tptp.hAPP @t700 @t709)) % 3.41/3.69 (define @t711 () (= @t349 @t709)) % 3.41/3.69 (define @t712 () (tptp.hAPP @t704 @t349)) % 3.41/3.69 (define @t713 () (tptp.hAPP @t712 @t349)) % 3.41/3.69 (define @t714 () (tptp.class_Rings_Oring__1__no__zero__divisors @t10)) % 3.41/3.69 (define @t715 () (tptp.hAPP @t692 @t272)) % 3.41/3.69 (define @t716 () (tptp.c_Groups_Ouminus__class_Ouminus @t66)) % 3.41/3.69 (define @t717 () (tptp.hAPP @t716 @t272)) % 3.41/3.69 (define @t718 () (tptp.hAPP @t716 @t249)) % 3.41/3.69 (define @t719 () (tptp.hAPP @t690 @t718)) % 3.41/3.69 (define @t720 () (tptp.class_Rings_Oring @t66)) % 3.41/3.69 (define @t721 () (tptp.hAPP @t692 @t717)) % 3.41/3.69 (define @t722 () (tptp.hAPP @t719 @t272)) % 3.41/3.69 (define @t723 () (tptp.hAPP @t716 @t715)) % 3.41/3.69 (define @t724 () (tptp.hAPP @t690 @t272)) % 3.41/3.69 (define @t725 () (tptp.hAPP @t724 @t87)) % 3.41/3.69 (define @t726 () (tptp.hAPP @t700 @t168)) % 3.41/3.69 (define @t727 () (tptp.class_Groups_Ogroup__add @t10)) % 3.41/3.69 (define @t728 () (= (tptp.hAPP @t692 @t688) @t249)) % 3.41/3.69 (define @t729 () (tptp.class_Groups_Ocomm__monoid__mult @t66)) % 3.41/3.69 (define @t730 () (tptp.class_Groups_Omonoid__mult @t66)) % 3.41/3.69 (define @t731 () (= (tptp.hAPP (tptp.hAPP @t690 @t688) @t249) @t249)) % 3.41/3.69 (define @t732 () (tptp.class_Groups_Ogroup__add @t66)) % 3.41/3.69 (define @t733 () (@var "V_ry" $$unsorted)) % 3.41/3.69 (define @t734 () (@var "V_ly" $$unsorted)) % 3.41/3.69 (define @t735 () (tptp.hAPP @t690 @t734)) % 3.41/3.69 (define @t736 () (@var "V_rx" $$unsorted)) % 3.41/3.69 (define @t737 () (@var "V_lx" $$unsorted)) % 3.41/3.69 (define @t738 () (tptp.hAPP @t690 @t737)) % 3.41/3.69 (define @t739 () (tptp.hAPP @t690 (tptp.hAPP @t738 @t736))) % 3.41/3.69 (define @t740 () (tptp.hAPP @t690 @t736)) % 3.41/3.69 (define @t741 () (tptp.hAPP @t740 @t733)) % 3.41/3.69 (define @t742 () (tptp.hAPP @t690 (tptp.hAPP @t738 @t734))) % 3.41/3.69 (define @t743 () (tptp.hAPP @t742 @t741)) % 3.41/3.69 (define @t744 () (@list @t733 @t736 @t734 @t737 @t66)) % 3.41/3.69 (define @t745 () (tptp.hAPP @t742 @t736)) % 3.41/3.69 (define @t746 () (@list @t736 @t734 @t737 @t66)) % 3.41/3.69 (define @t747 () (tptp.hAPP @t674 @t631)) % 3.41/3.69 (define @t748 () (tptp.hAPP @t674 @t632)) % 3.41/3.69 (define @t749 () (= @t580 @t583)) % 3.41/3.69 (define @t750 () (tptp.hAPP @t669 @t580)) % 3.41/3.69 (define @t751 () (tptp.class_Int_Oring__char__0 @t10)) % 3.41/3.69 (define @t752 () (@list @t583 @t580 @t10)) % 3.41/3.69 (define @t753 () (tptp.hAPP @t674 @t306)) % 3.41/3.69 (define @t754 () (tptp.hAPP @t753 @t638)) % 3.41/3.69 (define @t755 () (tptp.hAPP @t677 @t306)) % 3.41/3.69 (define @t756 () (tptp.hAPP @t738 @t741)) % 3.41/3.69 (define @t757 () (@list @t733 @t736 @t737 @t66)) % 3.41/3.69 (define @t758 () (tptp.hAPP @t674 @t638)) % 3.41/3.69 (define @t759 () (tptp.hAPP @t758 @t306)) % 3.41/3.69 (define @t760 () (tptp.hAPP @t724 @t249)) % 3.41/3.69 (define @t761 () (tptp.c_Int_Oring__1__class_Oof__int @t66)) % 3.41/3.69 (define @t762 () (tptp.hAPP @t761 @t306)) % 3.41/3.69 (define @t763 () (tptp.hAPP @t761 @t638)) % 3.41/3.69 (define @t764 () (tptp.class_Rings_Oring__1 @t66)) % 3.41/3.69 (define @t765 () (@list @t306 @t638 @t66)) % 3.41/3.69 (define @t766 () (@list @t306 @t66)) % 3.41/3.69 (define @t767 () (tptp.hAPP @t716 @t688)) % 3.41/3.69 (define @t768 () (tptp.hAPP @t716 @t101)) % 3.41/3.69 (define @t769 () (tptp.class_Rings_Ocomm__ring__1 @t66)) % 3.41/3.69 (define @t770 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t771 () (tptp.hAPP @t770 @t235)) % 3.41/3.69 (define @t772 () (tptp.hAPP @t771 @t65)) % 3.41/3.69 (define @t773 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t774 () (tptp.hAPP @t761 @t311)) % 3.41/3.69 (define @t775 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t311) @t575))) % 3.41/3.69 (define @t776 () (tptp.hAPP @t677 @t311)) % 3.41/3.69 (define @t777 () (@list @t311 @t66)) % 3.41/3.69 (define @t778 () (tptp.hAPP @t677 @t591)) % 3.41/3.69 (define @t779 () (tptp.hAPP tptp.c_Int_Onat @t686)) % 3.41/3.69 (define @t780 () (and (= @t314 @t686) (= @t19 @t686))) % 3.41/3.69 (define @t781 () (tptp.hAPP (tptp.hAPP @t674 @t314) @t19)) % 3.41/3.69 (define @t782 () (= @t781 @t686)) % 3.41/3.69 (define @t783 () (tptp.hAPP @t434 @t701)) % 3.41/3.69 (define @t784 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 3.41/3.69 (define @t785 () (tptp.hAPP @t434 @t726)) % 3.41/3.69 (define @t786 () (tptp.hBOOL (tptp.hAPP @t785 @t21))) % 3.41/3.69 (define @t787 () (tptp.hAPP @t434 @t21)) % 3.41/3.69 (define @t788 () (tptp.hAPP @t274 @t718)) % 3.41/3.69 (define @t789 () (tptp.hAPP @t716 @t283)) % 3.41/3.69 (define @t790 () (tptp.class_Groups_Oab__group__add @t66)) % 3.41/3.69 (define @t791 () (= (tptp.hAPP (tptp.hAPP @t690 @t326) @t249) @t326)) % 3.41/3.69 (define @t792 () (= (tptp.hAPP @t692 @t326) @t326)) % 3.41/3.69 (define @t793 () (tptp.class_Rings_Omult__zero @t66)) % 3.41/3.69 (define @t794 () (= @t21 @t331)) % 3.41/3.69 (define @t795 () (tptp.hAPP @t706 @t21)) % 3.41/3.69 (define @t796 () (= @t715 @t326)) % 3.41/3.69 (define @t797 () (= @t272 @t326)) % 3.41/3.69 (define @t798 () (not @t797)) % 3.41/3.69 (define @t799 () (= @t249 @t326)) % 3.41/3.69 (define @t800 () (not @t799)) % 3.41/3.69 (define @t801 () (tptp.class_Rings_Ono__zero__divisors @t66)) % 3.41/3.69 (define @t802 () (tptp.class_Rings_Ozero__neq__one @t66)) % 3.41/3.69 (define @t803 () (tptp.hAPP @t690 @t101)) % 3.41/3.69 (define @t804 () (tptp.hAPP @t803 @t306)) % 3.41/3.69 (define @t805 () (tptp.hAPP @t803 @t100)) % 3.41/3.69 (define @t806 () (tptp.hAPP @t274 @t100)) % 3.41/3.69 (define @t807 () (tptp.hAPP @t806 @t306)) % 3.41/3.69 (define @t808 () (tptp.hAPP @t705 @t20)) % 3.41/3.69 (define @t809 () (@var "V_d_2" $$unsorted)) % 3.41/3.69 (define @t810 () (tptp.hAPP @t706 @t809)) % 3.41/3.69 (define @t811 () (tptp.hAPP @t706 @t20)) % 3.41/3.69 (define @t812 () (= @t20 @t809)) % 3.41/3.69 (define @t813 () (not @t703)) % 3.41/3.69 (define @t814 () (@list @t809 @t20 @t21 @t168 @t10)) % 3.41/3.69 (define @t815 () (tptp.hAPP @t692 @t87)) % 3.41/3.69 (define @t816 () (tptp.hAPP @t690 @t283)) % 3.41/3.69 (define @t817 () (= (tptp.hAPP @t816 @t87) (tptp.hAPP (tptp.hAPP @t274 @t815) @t725))) % 3.41/3.69 (define @t818 () (= @t610 @t583)) % 3.41/3.69 (define @t819 () (tptp.hAPP @t704 @t580)) % 3.41/3.69 (define @t820 () (tptp.hAPP @t712 @t583)) % 3.41/3.69 (define @t821 () (tptp.hAPP @t819 @t610)) % 3.41/3.69 (define @t822 () (@var "V_e" $$unsorted)) % 3.41/3.69 (define @t823 () (tptp.hAPP @t677 @t638)) % 3.41/3.69 (define @t824 () (tptp.hAPP @t581 @t755)) % 3.41/3.69 (define @t825 () (tptp.hAPP @t758 @t631)) % 3.41/3.69 (define @t826 () (tptp.hAPP @t758 @t632)) % 3.41/3.69 (define @t827 () (@list @t631 @t632 @t638)) % 3.41/3.69 (define @t828 () (tptp.hAPP @t747 @t638)) % 3.41/3.69 (define @t829 () (tptp.hAPP @t748 @t638)) % 3.41/3.69 (define @t830 () (@list @t638 @t631 @t632)) % 3.41/3.69 (define @t831 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 3.41/3.69 (define @t832 () (tptp.hAPP @t584 @t686)) % 3.41/3.69 (define @t833 () (tptp.hAPP @t404 @t259)) % 3.41/3.69 (define @t834 () (= (tptp.hAPP @t788 @t249) @t326)) % 3.41/3.69 (define @t835 () (tptp.hAPP tptp.c_Int_Onat @t575)) % 3.41/3.69 (define @t836 () (tptp.hAPP @t692 @t249)) % 3.41/3.69 (define @t837 () (tptp.class_Rings_Olinordered__ring @t66)) % 3.41/3.69 (define @t838 () (tptp.hBOOL (tptp.hAPP @t787 @t168))) % 3.41/3.69 (define @t839 () (tptp.hAPP @t434 @t20)) % 3.41/3.69 (define @t840 () (tptp.hBOOL (tptp.hAPP @t839 @t331))) % 3.41/3.69 (define @t841 () (tptp.hBOOL (tptp.hAPP @t515 @t20))) % 3.41/3.69 (define @t842 () (or (and @t841 @t436) (and @t840 @t838))) % 3.41/3.69 (define @t843 () (tptp.hAPP @t434 @t811)) % 3.41/3.69 (define @t844 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 3.41/3.69 (define @t845 () (tptp.hAPP @t704 @t20)) % 3.41/3.69 (define @t846 () (tptp.hAPP @t845 @t21)) % 3.41/3.69 (define @t847 () (tptp.hAPP @t845 @t168)) % 3.41/3.69 (define @t848 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t847) @t846))) % 3.41/3.69 (define @t849 () (tptp.hBOOL (tptp.hAPP @t510 @t715))) % 3.41/3.69 (define @t850 () (tptp.class_Rings_Olinordered__semiring__strict @t66)) % 3.41/3.69 (define @t851 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t715) @t326))) % 3.41/3.69 (define @t852 () (=> @t514 @t512)) % 3.41/3.69 (define @t853 () (tptp.class_Rings_Olinordered__ring__strict @t66)) % 3.41/3.69 (define @t854 () (tptp.hAPP @t442 @t815)) % 3.41/3.69 (define @t855 () (tptp.hBOOL (tptp.hAPP @t854 @t725))) % 3.41/3.69 (define @t856 () (tptp.hBOOL (tptp.hAPP @t510 @t87))) % 3.41/3.69 (define @t857 () (tptp.hAPP @t690 @t87)) % 3.41/3.69 (define @t858 () (tptp.hAPP @t857 @t272)) % 3.41/3.69 (define @t859 () (tptp.hAPP @t857 @t249)) % 3.41/3.69 (define @t860 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t859) @t858))) % 3.41/3.69 (define @t861 () (=> @t446 (=> @t856 @t860))) % 3.41/3.69 (define @t862 () (tptp.hBOOL (tptp.hAPP @t451 @t326))) % 3.41/3.69 (define @t863 () (@var "V_r" $$unsorted)) % 3.41/3.69 (define @t864 () (tptp.hAPP @t690 @t863)) % 3.41/3.69 (define @t865 () (= @t610 @t331)) % 3.41/3.69 (define @t866 () (and @t350 @t865)) % 3.41/3.69 (define @t867 () (tptp.hAPP (tptp.hAPP @t287 @t713) (tptp.hAPP (tptp.hAPP @t704 @t610) @t610))) % 3.41/3.69 (define @t868 () (and @t338 @t339)) % 3.41/3.69 (define @t869 () (tptp.hAPP @t674 @t311)) % 3.41/3.69 (define @t870 () (tptp.hAPP @t687 @t306)) % 3.41/3.69 (define @t871 () (tptp.hBOOL (tptp.hAPP @t585 (tptp.hAPP (tptp.hAPP @t581 @t583) @t686)))) % 3.41/3.69 (define @t872 () (= @t583 @t575)) % 3.41/3.69 (define @t873 () (@list @t65 @t66)) % 3.41/3.69 (define @t874 () (tptp.hAPP tptp.c_Int_Onat @t580)) % 3.41/3.69 (define @t875 () (tptp.hAPP @t404 @t874)) % 3.41/3.69 (define @t876 () (tptp.hBOOL (tptp.hAPP @t875 @t684))) % 3.41/3.69 (define @t877 () (= @t876 @t586)) % 3.41/3.69 (define @t878 () (@list @t580 @t583)) % 3.41/3.69 (define @t879 () (@list @t583 @t314)) % 3.41/3.69 (define @t880 () (tptp.hAPP @t690 @t100)) % 3.41/3.69 (define @t881 () (tptp.hAPP @t803 @t101)) % 3.41/3.69 (define @t882 () (tptp.hAPP (tptp.hAPP @t274 @t881) (tptp.hAPP @t880 @t100))) % 3.41/3.69 (define @t883 () (not @t865)) % 3.41/3.69 (define @t884 () (or (not @t350) @t883)) % 3.41/3.69 (define @t885 () (@list @t65 @t471)) % 3.41/3.69 (define @t886 () (@list @t101)) % 3.41/3.69 (define @t887 () (tptp.c_Groups_Osgn__class_Osgn @t66 @t101)) % 3.41/3.69 (define @t888 () (tptp.hBOOL (tptp.hAPP @t510 @t101))) % 3.41/3.69 (define @t889 () (= @t101 @t326)) % 3.41/3.69 (define @t890 () (tptp.class_Groups_Osgn__if @t66)) % 3.41/3.69 (define @t891 () (tptp.c_Groups_Osgn__class_Osgn @t66 @t249)) % 3.41/3.69 (define @t892 () (tptp.c_Groups_Osgn__class_Osgn @t10 @t168)) % 3.41/3.69 (define @t893 () (tptp.hAPP @t677 @t686)) % 3.41/3.69 (define @t894 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t471)) % 3.41/3.69 (define @t895 () (tptp.hBOOL (tptp.hAPP @t594 @t471))) % 3.41/3.69 (define @t896 () (= @t471 @t575)) % 3.41/3.69 (define @t897 () (not @t896)) % 3.41/3.69 (define @t898 () (@list @t471)) % 3.41/3.69 (define @t899 () (tptp.hAPP tptp.c_Int_Onat @t306)) % 3.41/3.69 (define @t900 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 3.41/3.69 (define @t901 () (tptp.hAPP @t900 @t575)) % 3.41/3.69 (define @t902 () (tptp.hBOOL (tptp.hAPP @t901 @t306))) % 3.41/3.69 (define @t903 () (tptp.hBOOL (tptp.hAPP @t901 @t580))) % 3.41/3.69 (define @t904 () (@list @t314 @t580)) % 3.41/3.69 (define @t905 () (@var "V_v" $$unsorted)) % 3.41/3.69 (define @t906 () (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP (tptp.hAPP @t690 @t231) @t101)) (tptp.hAPP (tptp.hAPP @t690 @t905) @t100))) % 3.41/3.69 (define @t907 () (= (tptp.hAPP (tptp.hAPP @t274 @t231) @t905) @t688)) % 3.41/3.69 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq @t66)) % 3.41/3.69 (define @t909 () (tptp.hAPP @t908 @t326)) % 3.41/3.69 (define @t910 () (tptp.hBOOL (tptp.hAPP @t909 @t905))) % 3.41/3.69 (define @t911 () (tptp.hBOOL (tptp.hAPP @t909 @t231))) % 3.41/3.69 (define @t912 () (tptp.hBOOL (tptp.hAPP @t550 @t249))) % 3.41/3.69 (define @t913 () (@list @t905 @t231 @t100 @t249 @t101 @t66)) % 3.41/3.69 (define @t914 () (tptp.hAPP @t908 @t101)) % 3.41/3.69 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t916 () (tptp.hAPP @t915 @t199)) % 3.41/3.69 (define @t917 () (tptp.hAPP @t900 @t778)) % 3.41/3.69 (define @t918 () (tptp.hAPP @t770 @t473)) % 3.41/3.69 (define @t919 () (tptp.hAPP @t770 @t471)) % 3.41/3.69 (define @t920 () (tptp.hAPP @t919 @t311)) % 3.41/3.69 (define @t921 () (tptp.hAPP @t915 @t920)) % 3.41/3.69 (define @t922 () (tptp.hAPP @t915 @t311)) % 3.41/3.69 (define @t923 () (tptp.hBOOL (tptp.hAPP @t922 @t485))) % 3.41/3.69 (define @t924 () (tptp.hAPP @t915 @t471)) % 3.41/3.69 (define @t925 () (tptp.hBOOL (tptp.hAPP @t924 @t473))) % 3.41/3.69 (define @t926 () (tptp.hAPP @t770 @t311)) % 3.41/3.69 (define @t927 () (tptp.hAPP @t926 @t473)) % 3.41/3.69 (define @t928 () (tptp.hAPP @t926 @t471)) % 3.41/3.69 (define @t929 () (tptp.hAPP @t918 @t311)) % 3.41/3.69 (define @t930 () (tptp.hAPP @t770 @t65)) % 3.41/3.69 (define @t931 () (tptp.hAPP @t930 @t311)) % 3.41/3.69 (define @t932 () (= @t19 @t773)) % 3.41/3.69 (define @t933 () (= @t314 @t773)) % 3.41/3.69 (define @t934 () (and @t933 @t932)) % 3.41/3.69 (define @t935 () (tptp.hAPP @t770 @t314)) % 3.41/3.69 (define @t936 () (tptp.hAPP @t935 @t19)) % 3.41/3.69 (define @t937 () (tptp.hAPP @t930 @t235)) % 3.41/3.69 (define @t938 () (tptp.hAPP @t771 @t235)) % 3.41/3.69 (define @t939 () (tptp.hAPP @t915 @t235)) % 3.41/3.69 (define @t940 () (= @t235 @t199)) % 3.41/3.69 (define @t941 () (tptp.hAPP @t915 @t314)) % 3.41/3.69 (define @t942 () (tptp.hBOOL (tptp.hAPP @t941 @t19))) % 3.41/3.69 (define @t943 () (tptp.hAPP tptp.c_Nat_OSuc @t316)) % 3.41/3.69 (define @t944 () (tptp.hAPP @t770 @t943)) % 3.41/3.69 (define @t945 () (tptp.hAPP @t944 @t19)) % 3.41/3.69 (define @t946 () (tptp.hAPP @t944 @t314)) % 3.41/3.69 (define @t947 () (tptp.hAPP @t900 @t638)) % 3.41/3.69 (define @t948 () (@list @t638)) % 3.41/3.69 (define @t949 () (tptp.hBOOL (tptp.hAPP @t947 @t306))) % 3.41/3.69 (define @t950 () (tptp.hAPP @t900 @t306)) % 3.41/3.69 (define @t951 () (tptp.hBOOL (tptp.hAPP @t950 @t638))) % 3.41/3.69 (define @t952 () (tptp.hAPP @t900 @t471)) % 3.41/3.69 (define @t953 () (tptp.hBOOL (tptp.hAPP @t952 @t473))) % 3.41/3.69 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq @t92)) % 3.41/3.69 (define @t955 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t6) @t5))) % 3.41/3.69 (define @t956 () (tptp.tc_fun @t10 @t92)) % 3.41/3.69 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq @t956)) % 3.41/3.69 (define @t958 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t957 @t2) @t1))) % 3.41/3.69 (define @t959 () (tptp.class_Orderings_Oord @t92)) % 3.41/3.69 (define @t960 () (@list @t1 @t2 @t10 @t92)) % 3.41/3.69 (define @t961 () (tptp.hAPP @t908 @t100)) % 3.41/3.69 (define @t962 () (tptp.hBOOL (tptp.hAPP @t961 @t101))) % 3.41/3.69 (define @t963 () (tptp.hBOOL (tptp.hAPP @t914 @t100))) % 3.41/3.69 (define @t964 () (tptp.c_Orderings_Oord__class_Oless__eq @t10)) % 3.41/3.69 (define @t965 () (tptp.hAPP @t964 @t610)) % 3.41/3.69 (define @t966 () (tptp.hBOOL (tptp.hAPP @t965 @t349))) % 3.41/3.69 (define @t967 () (tptp.hAPP @t964 @t349)) % 3.41/3.69 (define @t968 () (tptp.hBOOL (tptp.hAPP @t967 @t610))) % 3.41/3.69 (define @t969 () (tptp.hAPP @t1 @t349)) % 3.41/3.69 (define @t970 () (= @t968 @t620)) % 3.41/3.69 (define @t971 () (tptp.hAPP @t908 @t249)) % 3.41/3.69 (define @t972 () (tptp.hBOOL (tptp.hAPP @t971 @t87))) % 3.41/3.69 (define @t973 () (tptp.hAPP @t908 @t272)) % 3.41/3.69 (define @t974 () (tptp.hBOOL (tptp.hAPP @t973 @t87))) % 3.41/3.69 (define @t975 () (tptp.hAPP @t908 @t87)) % 3.41/3.69 (define @t976 () (tptp.hBOOL (tptp.hAPP @t975 @t249))) % 3.41/3.69 (define @t977 () (tptp.hBOOL (tptp.hAPP @t971 @t272))) % 3.41/3.69 (define @t978 () (tptp.hBOOL (tptp.hAPP @t973 @t249))) % 3.41/3.69 (define @t979 () (tptp.hBOOL (tptp.hAPP @t914 @t306))) % 3.41/3.69 (define @t980 () (tptp.hBOOL (tptp.hAPP @t961 @t306))) % 3.41/3.69 (define @t981 () (@list @t101 @t100 @t66)) % 3.41/3.69 (define @t982 () (tptp.hAPP @t908 @t306)) % 3.41/3.69 (define @t983 () (tptp.hBOOL (tptp.hAPP @t982 @t101))) % 3.41/3.69 (define @t984 () (tptp.hBOOL (tptp.hAPP @t982 @t100))) % 3.41/3.69 (define @t985 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t349) @t610))) % 3.41/3.69 (define @t986 () (tptp.hAPP @t900 @t580)) % 3.41/3.69 (define @t987 () (tptp.hBOOL (tptp.hAPP @t986 @t583))) % 3.41/3.69 (define @t988 () (tptp.hAPP @t915 @t259)) % 3.41/3.69 (define @t989 () (tptp.hBOOL (tptp.hAPP @t405 @t316))) % 3.41/3.69 (define @t990 () (=> @t989 @t942)) % 3.41/3.69 (define @t991 () (tptp.hAPP @t770 @t316)) % 3.41/3.69 (define @t992 () (tptp.hAPP @t991 @t19)) % 3.41/3.69 (define @t993 () (tptp.hAPP @t991 @t314)) % 3.41/3.69 (define @t994 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t993) @t992))) % 3.41/3.69 (define @t995 () (tptp.hAPP @t770 @t19)) % 3.41/3.69 (define @t996 () (tptp.hAPP @t995 @t316)) % 3.41/3.69 (define @t997 () (tptp.hAPP @t935 @t316)) % 3.41/3.69 (define @t998 () (tptp.hAPP @t900 @t349)) % 3.41/3.69 (define @t999 () (tptp.hBOOL (tptp.hAPP @t998 @t610))) % 3.41/3.69 (define @t1000 () (tptp.hAPP tptp.c_Int_Onat @t610)) % 3.41/3.69 (define @t1001 () (tptp.hAPP tptp.c_Int_Onat @t349)) % 3.41/3.69 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t901 @t610))) % 3.41/3.69 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t901 @t349))) % 3.41/3.69 (define @t1004 () (not @t662)) % 3.41/3.69 (define @t1005 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t276) @t448))) % 3.41/3.69 (define @t1006 () (tptp.hAPP @t908 @t282)) % 3.41/3.69 (define @t1007 () (tptp.hBOOL (tptp.hAPP @t1006 @t297))) % 3.41/3.69 (define @t1008 () (tptp.hBOOL (tptp.hAPP @t975 @t370))) % 3.41/3.69 (define @t1009 () (tptp.class_Groups_Oordered__ab__semigroup__add @t66)) % 3.41/3.69 (define @t1010 () (tptp.hAPP @t964 @t168)) % 3.41/3.69 (define @t1011 () (tptp.hBOOL (tptp.hAPP @t1010 @t21))) % 3.41/3.69 (define @t1012 () (= @t316 @t199)) % 3.41/3.69 (define @t1013 () (or @t315 @t1012)) % 3.41/3.69 (define @t1014 () (= @t993 @t992)) % 3.41/3.69 (define @t1015 () (tptp.hAPP @t915 @t19)) % 3.41/3.69 (define @t1016 () (tptp.hAPP @t964 @t21)) % 3.41/3.69 (define @t1017 () (tptp.hAPP @t964 @t701)) % 3.41/3.69 (define @t1018 () (tptp.hAPP @t964 @t726)) % 3.41/3.69 (define @t1019 () (tptp.hBOOL (tptp.hAPP @t1018 @t21))) % 3.41/3.69 (define @t1020 () (tptp.class_Groups_Oordered__ab__group__add @t66)) % 3.41/3.69 (define @t1021 () (tptp.hAPP @t926 @t65)) % 3.41/3.69 (define @t1022 () (tptp.hAPP @t926 @t235)) % 3.41/3.69 (define @t1023 () (@list @t65 @t235 @t311)) % 3.41/3.69 (define @t1024 () (tptp.hAPP @t771 @t311)) % 3.41/3.69 (define @t1025 () (tptp.hBOOL (tptp.hAPP @t939 @t65))) % 3.41/3.69 (define @t1026 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t236) @t65))) % 3.41/3.69 (define @t1027 () (tptp.hBOOL (tptp.hAPP @t939 @t67))) % 3.41/3.69 (define @t1028 () (tptp.hBOOL (tptp.hAPP @t1015 @t314))) % 3.41/3.69 (define @t1029 () (tptp.hAPP @t915 @t48)) % 3.41/3.69 (define @t1030 () (tptp.hBOOL (tptp.hAPP @t941 @t48))) % 3.41/3.69 (define @t1031 () (tptp.hBOOL (tptp.hAPP @t1029 @t314))) % 3.41/3.69 (define @t1032 () (not @t942)) % 3.41/3.69 (define @t1033 () (tptp.hAPP @t915 @t101)) % 3.41/3.69 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t1033 @t100))) % 3.41/3.69 (define @t1035 () (tptp.hBOOL (tptp.hAPP @t1033 @t309))) % 3.41/3.69 (define @t1036 () (tptp.hAPP @t915 @t65)) % 3.41/3.69 (define @t1037 () (tptp.hAPP @t915 @t490)) % 3.41/3.69 (define @t1038 () (tptp.hBOOL (tptp.hAPP @t922 @t65))) % 3.41/3.69 (define @t1039 () (tptp.hAPP @t303 @t311)) % 3.41/3.69 (define @t1040 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1039) @t65))) % 3.41/3.69 (define @t1041 () (@list @t65 @t311 @t235)) % 3.41/3.69 (define @t1042 () (tptp.hAPP @t900 @t583)) % 3.41/3.69 (define @t1043 () (tptp.hAPP @t581 @t311)) % 3.41/3.69 (define @t1044 () (tptp.hBOOL (tptp.hAPP @t1036 @t235))) % 3.41/3.69 (define @t1045 () (tptp.hBOOL (tptp.hAPP @t901 @t583))) % 3.41/3.69 (define @t1046 () (tptp.hAPP (tptp.hAPP @t674 @t101) @t100)) % 3.41/3.69 (define @t1047 () (tptp.hAPP tptp.c_Int_Onat @t100)) % 3.41/3.69 (define @t1048 () (tptp.hAPP tptp.c_Int_Onat @t101)) % 3.41/3.69 (define @t1049 () (tptp.hBOOL (tptp.hAPP @t901 @t100))) % 3.41/3.69 (define @t1050 () (tptp.hBOOL (tptp.hAPP @t901 @t101))) % 3.41/3.69 (define @t1051 () (@var "V_z_H" $$unsorted)) % 3.41/3.69 (define @t1052 () (tptp.hAPP tptp.c_Int_Onat @t1051)) % 3.41/3.69 (define @t1053 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t753 @t1051))) % 3.41/3.69 (define @t1054 () (@list @t1051 @t306)) % 3.41/3.69 (define @t1055 () (tptp.hAPP @t964 @t331)) % 3.41/3.69 (define @t1056 () (tptp.hBOOL (tptp.hAPP @t950 @t575))) % 3.41/3.69 (define @t1057 () (tptp.hBOOL (tptp.hAPP @t1055 @t168))) % 3.41/3.69 (define @t1058 () (tptp.hBOOL (tptp.hAPP @t1010 @t331))) % 3.41/3.69 (define @t1059 () (tptp.hBOOL (tptp.hAPP @t909 @t272))) % 3.41/3.69 (define @t1060 () (tptp.hBOOL (tptp.hAPP @t909 @t249))) % 3.41/3.69 (define @t1061 () (tptp.hAPP @t287 @t349)) % 3.41/3.69 (define @t1062 () (tptp.hAPP @t1061 @t610)) % 3.41/3.69 (define @t1063 () (tptp.hBOOL (tptp.hAPP @t973 @t282))) % 3.41/3.69 (define @t1064 () (tptp.hBOOL (tptp.hAPP @t909 @t87))) % 3.41/3.69 (define @t1065 () (@list @t249 @t272 @t87 @t66)) % 3.41/3.69 (define @t1066 () (tptp.hBOOL (tptp.hAPP @t973 @t326))) % 3.41/3.69 (define @t1067 () (tptp.hBOOL (tptp.hAPP @t971 @t326))) % 3.41/3.69 (define @t1068 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t715) @t326))) % 3.41/3.69 (define @t1069 () (tptp.class_Rings_Oordered__cancel__semiring @t66)) % 3.41/3.69 (define @t1070 () (tptp.hBOOL (tptp.hAPP @t909 @t715))) % 3.41/3.69 (define @t1071 () (tptp.class_Rings_Oordered__ring @t66)) % 3.41/3.69 (define @t1072 () (tptp.hAPP @t724 @t370)) % 3.41/3.69 (define @t1073 () (tptp.hAPP @t908 @t815)) % 3.41/3.69 (define @t1074 () (=> @t1064 (tptp.hBOOL (tptp.hAPP @t1073 @t1072)))) % 3.41/3.69 (define @t1075 () (tptp.class_Rings_Oordered__semiring @t66)) % 3.41/3.69 (define @t1076 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t859) @t858))) % 3.41/3.69 (define @t1077 () (tptp.hBOOL (tptp.hAPP @t975 @t326))) % 3.41/3.69 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t1073 @t725))) % 3.41/3.69 (define @t1079 () (=> @t977 (=> @t1064 @t1076))) % 3.41/3.69 (define @t1080 () (tptp.hBOOL (tptp.hAPP @t1055 @t21))) % 3.41/3.69 (define @t1081 () (tptp.hBOOL (tptp.hAPP @t1016 @t331))) % 3.41/3.69 (define @t1082 () (or (and @t1057 @t1081) (and @t1058 @t1080))) % 3.41/3.69 (define @t1083 () (or (and @t1057 @t1080) (and @t1058 @t1081))) % 3.41/3.69 (define @t1084 () (tptp.hAPP @t908 @t688)) % 3.41/3.69 (define @t1085 () (and @t989 @t421)) % 3.41/3.69 (define @t1086 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t993) @t992))) % 3.41/3.69 (define @t1087 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t461) @t19))) % 3.41/3.69 (define @t1088 () (tptp.hAPP @t260 @t773)) % 3.41/3.69 (define @t1089 () (tptp.hAPP @t1088 @t65)) % 3.41/3.69 (define @t1090 () (tptp.hAPP @t301 @t773)) % 3.41/3.69 (define @t1091 () (tptp.hAPP @t636 @t100)) % 3.41/3.69 (define @t1092 () (tptp.hAPP @t576 @t306)) % 3.41/3.69 (define @t1093 () (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t576 @t4)))) % 3.41/3.69 (define @t1094 () (tptp.hAPP @t55 @t4)) % 3.41/3.69 (define @t1095 () (tptp.hBOOL @t1094)) % 3.41/3.69 (define @t1096 () (tptp.hBOOL (tptp.hAPP @t901 @t4))) % 3.41/3.69 (define @t1097 () (@list @t55)) % 3.41/3.69 (define @t1098 () (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP tptp.c_Int_Onat @t4)))) % 3.41/3.69 (define @t1099 () (@var "B_x1" $$unsorted)) % 3.41/3.69 (define @t1100 () (tptp.hBOOL (tptp.hAPP @t55 @t1099))) % 3.41/3.69 (define @t1101 () (@list @t1099)) % 3.41/3.69 (define @t1102 () (exists @t1101 @t1100)) % 3.41/3.69 (define @t1103 () (forall @t1101 @t1100)) % 3.41/3.69 (define @t1104 () (@var "V_z_H_2" $$unsorted)) % 3.41/3.69 (define @t1105 () (tptp.hAPP tptp.c_Int_Onat @t1104)) % 3.41/3.69 (define @t1106 () (@var "V_w_H" $$unsorted)) % 3.41/3.69 (define @t1107 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1051) @t306))) % 3.41/3.69 (define @t1108 () (tptp.hAPP (tptp.hAPP @t770 @t101) @t100)) % 3.41/3.69 (define @t1109 () (tptp.hAPP @t576 @t772)) % 3.41/3.69 (define @t1110 () (tptp.hAPP (tptp.hAPP @t674 @t592) @t591)) % 3.41/3.69 (define @t1111 () (tptp.hAPP @t576 @t773)) % 3.41/3.69 (define @t1112 () (=> @t856 @t977)) % 3.41/3.69 (define @t1113 () (=> @t1064 @t446)) % 3.41/3.69 (define @t1114 () (=> @t860 @t1113)) % 3.41/3.69 (define @t1115 () (tptp.class_Rings_Olinordered__semiring @t66)) % 3.41/3.69 (define @t1116 () (=> @t855 @t1113)) % 3.41/3.69 (define @t1117 () (tptp.hBOOL (tptp.hAPP @t854 @t1072))) % 3.41/3.69 (define @t1118 () (=> @t1064 @t1117)) % 3.41/3.69 (define @t1119 () (tptp.hBOOL (tptp.hAPP @t1016 @t168))) % 3.41/3.69 (define @t1120 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t847) @t846))) % 3.41/3.69 (define @t1121 () (tptp.hAPP @t880 @t101)) % 3.41/3.69 (define @t1122 () (tptp.hBOOL (tptp.hAPP @t961 @t688))) % 3.41/3.69 (define @t1123 () (tptp.hBOOL (tptp.hAPP @t909 @t100))) % 3.41/3.69 (define @t1124 () (tptp.hBOOL (tptp.hAPP @t909 @t101))) % 3.41/3.69 (define @t1125 () (tptp.hBOOL (tptp.hAPP @t833 @t235))) % 3.41/3.69 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t833 @t65))) % 3.41/3.69 (define @t1127 () (tptp.hAPP @t900 @t577)) % 3.41/3.69 (define @t1128 () (tptp.hAPP @t900 @t143)) % 3.41/3.69 (define @t1129 () (tptp.hBOOL (tptp.hAPP @t1128 @t575))) % 3.41/3.69 (define @t1130 () (@list @t143)) % 3.41/3.69 (define @t1131 () (= @t899 @t199)) % 3.41/3.69 (define @t1132 () (tptp.hAPP @t900 @t686)) % 3.41/3.69 (define @t1133 () (tptp.hAPP @t576 @t899)) % 3.41/3.69 (define @t1134 () (= @t1133 @t306)) % 3.41/3.69 (define @t1135 () (=> @t902 @t1134)) % 3.41/3.69 (define @t1136 () (@list @t306 @t638)) % 3.41/3.69 (define @t1137 () (tptp.hBOOL (tptp.hAPP @t914 @t249))) % 3.41/3.69 (define @t1138 () (tptp.hAPP @t584 @t349)) % 3.41/3.69 (define @t1139 () (tptp.hBOOL (tptp.hAPP @t1138 @t610))) % 3.41/3.69 (define @t1140 () (and (=> @t903 (= @t580 @t588)) (=> (not @t903) @t339))) % 3.41/3.69 (define @t1141 () (tptp.hBOOL (tptp.hAPP @t901 @t1051))) % 3.41/3.69 (define @t1142 () (@var "V_q" $$unsorted)) % 3.41/3.69 (define @t1143 () (tptp.hAPP @t900 @t1142)) % 3.41/3.69 (define @t1144 () (tptp.hBOOL (tptp.hAPP @t901 @t863))) % 3.41/3.69 (define @t1145 () (tptp.hAPP @t674 @t249)) % 3.41/3.69 (define @t1146 () (tptp.hAPP @t1145 @t1142)) % 3.41/3.69 (define @t1147 () (= @t249 (tptp.hAPP (tptp.hAPP @t581 @t863) @t1146))) % 3.41/3.69 (define @t1148 () (tptp.hBOOL (tptp.hAPP @t594 @t249))) % 3.41/3.69 (define @t1149 () (@list @t1142 @t863 @t249)) % 3.41/3.69 (define @t1150 () (tptp.hAPP @t584 @t863)) % 3.41/3.69 (define @t1151 () (@var "V_q_H" $$unsorted)) % 3.41/3.69 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t594 @t541))) % 3.41/3.69 (define @t1153 () (@var "V_r_H" $$unsorted)) % 3.41/3.69 (define @t1154 () (tptp.hAPP @t584 @t1153)) % 3.41/3.69 (define @t1155 () (tptp.hBOOL (tptp.hAPP @t1154 @t541))) % 3.41/3.69 (define @t1156 () (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t674 @t541) @t1151)) @t1153)) % 3.41/3.69 (define @t1157 () (tptp.hBOOL (tptp.hAPP @t901 @t1156))) % 3.41/3.69 (define @t1158 () (@list @t1153 @t1151 @t541)) % 3.41/3.69 (define @t1159 () (tptp.hAPP @t900 @t1151)) % 3.41/3.69 (define @t1160 () (tptp.hBOOL (tptp.hAPP @t901 @t1153))) % 3.41/3.69 (define @t1161 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1156) @t575))) % 3.41/3.69 (define @t1162 () (tptp.hBOOL (tptp.hAPP @t1159 @t1142))) % 3.41/3.69 (define @t1163 () (tptp.hBOOL (tptp.hAPP @t1150 @t272))) % 3.41/3.69 (define @t1164 () (tptp.hAPP @t674 @t272)) % 3.41/3.69 (define @t1165 () (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1164 @t1142)) @t863)) % 3.41/3.69 (define @t1166 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1164 @t1151)) @t1153)) @t1165))) % 3.41/3.69 (define @t1167 () (@list @t863 @t1142 @t1153 @t1151 @t272)) % 3.41/3.69 (define @t1168 () (tptp.hBOOL (tptp.hAPP @t1143 @t1151))) % 3.41/3.69 (define @t1169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t541) @t272))) % 3.41/3.69 (define @t1170 () (= @t1165 @t1156)) % 3.41/3.69 (define @t1171 () (@list @t1153 @t1151 @t541 @t863 @t1142 @t272)) % 3.41/3.69 (define @t1172 () (tptp.hAPP @t584 @t272)) % 3.41/3.69 (define @t1173 () (tptp.hBOOL (tptp.hAPP @t1172 @t863))) % 3.41/3.69 (define @t1174 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t863) @t575))) % 3.41/3.69 (define @t1175 () (tptp.hAPP @t915 @t473)) % 3.41/3.69 (define @t1176 () (tptp.hAPP @t260 (tptp.hAPP @t918 @t231))) % 3.41/3.69 (define @t1177 () (tptp.hAPP @t260 (tptp.hAPP @t919 @t231))) % 3.41/3.69 (define @t1178 () (tptp.hAPP @t700 @t610)) % 3.41/3.69 (define @t1179 () (tptp.hAPP @t700 @t349)) % 3.41/3.69 (define @t1180 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 3.41/3.69 (define @t1181 () (tptp.hAPP @t716 @t100)) % 3.41/3.69 (define @t1182 () (tptp.class_Lattices_Oboolean__algebra @t66)) % 3.41/3.69 (define @t1183 () (@var "B_i" $$unsorted)) % 3.41/3.69 (define @t1184 () (tptp.hAPP @t55 @t1183)) % 3.41/3.69 (define @t1185 () (tptp.hBOOL @t1184)) % 3.41/3.69 (define @t1186 () (tptp.hAPP @t915 @t1183)) % 3.41/3.69 (define @t1187 () (@list @t1183)) % 3.41/3.69 (define @t1188 () (tptp.hBOOL @t416)) % 3.41/3.69 (define @t1189 () (not @t680)) % 3.41/3.69 (define @t1190 () (@var "V_b_1" $$unsorted)) % 3.41/3.69 (define @t1191 () (not (= @t1190 @t575))) % 3.41/3.69 (define @t1192 () (tptp.hAPP @t900 @t100)) % 3.41/3.69 (define @t1193 () (tptp.hAPP @t584 @t1190)) % 3.41/3.69 (define @t1194 () (tptp.hBOOL (tptp.hAPP @t594 @t1190))) % 3.41/3.69 (define @t1195 () (not @t1194)) % 3.41/3.69 (define @t1196 () (@var "V_q_1" $$unsorted)) % 3.41/3.69 (define @t1197 () (tptp.hAPP @t674 @t1190)) % 3.41/3.69 (define @t1198 () (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1164 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1142 @t87))) @t863)) % 3.41/3.69 (define @t1199 () (tptp.hBOOL (tptp.hAPP @t594 @t87))) % 3.41/3.69 (define @t1200 () (@list @t1142 @t863 @t272 @t87)) % 3.41/3.69 (define @t1201 () (tptp.hAPP @t1164 @t87)) % 3.41/3.69 (define @t1202 () (@list @t1142 @t272 @t863 @t87)) % 3.41/3.69 (define @t1203 () (tptp.c_Divides_Odiv__class_Omod @t66 @t249 @t272)) % 3.41/3.69 (define @t1204 () (tptp.class_Divides_Osemiring__div @t66)) % 3.41/3.69 (define @t1205 () (tptp.c_Divides_Odiv__class_Omod @t66 @t272 @t87)) % 3.41/3.69 (define @t1206 () (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t281 @t1205) @t87)) % 3.41/3.69 (define @t1207 () (tptp.c_Divides_Odiv__class_Omod @t66 @t283 @t87)) % 3.41/3.69 (define @t1208 () (tptp.c_Divides_Odiv__class_Omod @t66 @t249 @t87)) % 3.41/3.69 (define @t1209 () (tptp.hAPP @t274 @t1208)) % 3.41/3.69 (define @t1210 () (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1209 @t272) @t87)) % 3.41/3.69 (define @t1211 () (= @t1205 (tptp.c_Divides_Odiv__class_Omod @t66 @t541 @t87))) % 3.41/3.69 (define @t1212 () (= @t1208 (tptp.c_Divides_Odiv__class_Omod @t66 @t360 @t87))) % 3.41/3.69 (define @t1213 () (@list @t541 @t272 @t360 @t87 @t249 @t66)) % 3.41/3.69 (define @t1214 () (tptp.c_Divides_Odiv__class_Omod @t66 @t715 @t87)) % 3.41/3.69 (define @t1215 () (tptp.hAPP @t690 @t1208)) % 3.41/3.69 (define @t1216 () (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1215 @t272) @t87)) % 3.41/3.69 (define @t1217 () (tptp.c_Divides_Odiv__class_Omod @t66 @t718 @t272)) % 3.41/3.69 (define @t1218 () (tptp.class_Divides_Oring__div @t66)) % 3.41/3.69 (define @t1219 () (@list @t272)) % 3.41/3.69 (define @t1220 () (tptp.hAPP @t1145 @t272)) % 3.41/3.69 (define @t1221 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1220 @t87)) % 3.41/3.69 (define @t1222 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t272 @t87)) % 3.41/3.69 (define @t1223 () (tptp.hAPP @t1145 @t1222)) % 3.41/3.69 (define @t1224 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1223 @t87)) % 3.41/3.69 (define @t1225 () (@list @t87 @t272 @t249)) % 3.41/3.69 (define @t1226 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t101 @t235)) % 3.41/3.69 (define @t1227 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t272)) % 3.41/3.69 (define @t1228 () (tptp.hAPP @t677 @t272)) % 3.41/3.69 (define @t1229 () (tptp.hAPP @t677 @t249)) % 3.41/3.69 (define @t1230 () (@list @t272 @t249)) % 3.41/3.69 (define @t1231 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1229 @t272)) % 3.41/3.69 (define @t1232 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t1228)) % 3.41/3.69 (define @t1233 () (tptp.hAPP @t281 @t725)) % 3.41/3.69 (define @t1234 () (tptp.hAPP @t281 @t858)) % 3.41/3.69 (define @t1235 () (tptp.hBOOL (tptp.hAPP @t901 @t235))) % 3.41/3.69 (define @t1236 () (@list @t311 @t235)) % 3.41/3.69 (define @t1237 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t101 @t100)) % 3.41/3.69 (define @t1238 () (tptp.hBOOL (tptp.hAPP @t1172 @t1227))) % 3.41/3.69 (define @t1239 () (tptp.hBOOL (tptp.hAPP @t1172 @t575))) % 3.41/3.69 (define @t1240 () (@list @t249 @t272)) % 3.41/3.69 (define @t1241 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1227) @t272))) % 3.41/3.69 (define @t1242 () (tptp.hBOOL (tptp.hAPP @t594 @t272))) % 3.41/3.69 (define @t1243 () (@var "B_q" $$unsorted)) % 3.41/3.69 (define @t1244 () (@list @t1243)) % 3.41/3.69 (define @t1245 () (@list @t809 @t314)) % 3.41/3.69 (define @t1246 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t311 @t485)) % 3.41/3.69 (define @t1247 () (not (= @t1246 @t575))) % 3.41/3.69 (define @t1248 () (tptp.hAPP @t677 @t485)) % 3.41/3.69 (define @t1249 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t311 @t1248)) % 3.41/3.69 (define @t1250 () (@list @t485 @t311)) % 3.41/3.69 (define @t1251 () (= @t1227 @t249)) % 3.41/3.69 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t1172 @t249))) % 3.41/3.69 (define @t1253 () (tptp.hAPP @t900 @t249)) % 3.41/3.69 (define @t1254 () (tptp.hBOOL (tptp.hAPP @t1253 @t575))) % 3.41/3.69 (define @t1255 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1227) @t575))) % 3.41/3.69 (define @t1256 () (tptp.hAPP @t584 @t249)) % 3.41/3.69 (define @t1257 () (tptp.hBOOL (tptp.hAPP @t1256 @t272))) % 3.41/3.69 (define @t1258 () (tptp.hBOOL (tptp.hAPP @t901 @t249))) % 3.41/3.69 (define @t1259 () (tptp.hBOOL (tptp.hAPP @t901 @t1227))) % 3.41/3.69 (define @t1260 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t66)) % 3.41/3.69 (define @t1261 () (@var "V_A_2" $$unsorted)) % 3.41/3.69 (define @t1262 () (tptp.hAPP @t1261 @t349)) % 3.41/3.69 (define @t1263 () (tptp.tc_fun @t92 @t10)) % 3.41/3.69 (define @t1264 () (tptp.hAPP @t581 @t249)) % 3.41/3.69 (define @t1265 () (tptp.hAPP @t1264 @t272)) % 3.41/3.69 (define @t1266 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1265) @t575))) % 3.41/3.69 (define @t1267 () (tptp.hBOOL (tptp.hAPP @t55 @t517))) % 3.41/3.69 (define @t1268 () (tptp.hAPP @t674 @t316)) % 3.41/3.69 (define @t1269 () (= @t19 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1268 @t1183)) @t517))) % 3.41/3.69 (define @t1270 () (tptp.hAPP @t584 @t316)) % 3.41/3.69 (define @t1271 () (and (tptp.hBOOL (tptp.hAPP @t1270 @t517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t517) @t575)) @t1269)) % 3.41/3.69 (define @t1272 () (@list @t1183 @t517)) % 3.41/3.69 (define @t1273 () (tptp.hAPP @t1270 @t575)) % 3.41/3.69 (define @t1274 () (tptp.hBOOL @t1273)) % 3.41/3.69 (define @t1275 () (and (tptp.hBOOL (tptp.hAPP @t901 @t517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t517) @t316)) @t1269)) % 3.41/3.69 (define @t1276 () (tptp.hBOOL (tptp.hAPP @t594 @t316))) % 3.41/3.69 (define @t1277 () (= @t316 @t575)) % 3.41/3.69 (define @t1278 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t19 @t316)) % 3.41/3.69 (define @t1279 () (@list @t316 @t19 @t55)) % 3.41/3.69 (define @t1280 () (tptp.c_SMT_Oz3mod @t311 @t485)) % 3.41/3.69 (define @t1281 () (tptp.hBOOL (tptp.hAPP @t901 @t485))) % 3.41/3.69 (define @t1282 () (not @t1281)) % 3.41/3.69 (define @t1283 () (@list @t311 @t485)) % 3.41/3.69 (define @t1284 () (tptp.hBOOL (tptp.hAPP @t1184 @t517))) % 3.41/3.69 (define @t1285 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 3.41/3.69 (define @t1286 () (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t1285 @t19) @t316))) % 3.41/3.69 (define @t1287 () (tptp.hBOOL (tptp.hAPP @t1286 @t1278))) % 3.41/3.69 (define @t1288 () (@list @t19 @t55 @t316)) % 3.41/3.69 (define @t1289 () (tptp.hAPP @t1285 @t249)) % 3.41/3.69 (define @t1290 () (tptp.hAPP @t1289 @t272)) % 3.41/3.69 (define @t1291 () (@list @t272 @t249 @t87)) % 3.41/3.69 (define @t1292 () (tptp.c_Nat__Transfer_Otsub @t101 @t100)) % 3.41/3.69 (define @t1293 () (tptp.hBOOL (tptp.hAPP @t55 @t575))) % 3.41/3.69 (define @t1294 () (@var "V_r_1" $$unsorted)) % 3.41/3.69 (define @t1295 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t1296 () (tptp.hAPP (tptp.hAPP @t1295 @t314) @t19)) % 3.41/3.69 (define @t1297 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t272 @t87)) % 3.41/3.69 (define @t1298 () (tptp.hAPP (tptp.hAPP @t1295 @t272) @t87)) % 3.41/3.69 (define @t1299 () (tptp.hAPP @t1295 @t249)) % 3.41/3.69 (define @t1300 () (tptp.hAPP (tptp.hAPP @t260 @t249) @t272)) % 3.41/3.69 (define @t1301 () (tptp.hAPP @t576 @t272)) % 3.41/3.69 (define @t1302 () (tptp.hAPP @t576 @t249)) % 3.41/3.69 (define @t1303 () (tptp.hAPP @t1299 @t272)) % 3.41/3.69 (define @t1304 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t249 @t272)) % 3.41/3.69 (define @t1305 () (tptp.hAPP @t770 @t272)) % 3.41/3.69 (define @t1306 () (tptp.hAPP @t1305 @t87)) % 3.41/3.69 (define @t1307 () (tptp.hAPP @t770 @t249)) % 3.41/3.69 (define @t1308 () (tptp.hAPP @t1307 @t272)) % 3.41/3.69 (define @t1309 () (tptp.hAPP @t1295 @t65)) % 3.41/3.69 (define @t1310 () (tptp.hAPP @t1295 @t235)) % 3.41/3.69 (define @t1311 () (tptp.hAPP @t1310 @t65)) % 3.41/3.69 (define @t1312 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t235 @t65)) % 3.41/3.69 (define @t1313 () (tptp.hAPP tptp.c_Nat_OSuc @t1312)) % 3.41/3.69 (define @t1314 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t236 @t65)) % 3.41/3.69 (define @t1315 () (=> @t415 (= @t1312 @t235))) % 3.41/3.69 (define @t1316 () (tptp.hAPP @t915 @t1312)) % 3.41/3.69 (define @t1317 () (tptp.hAPP @t1285 @t1229)) % 3.41/3.69 (define @t1318 () (tptp.hAPP @t1317 @t272)) % 3.41/3.69 (define @t1319 () (tptp.hAPP @t1289 @t1228)) % 3.41/3.69 (define @t1320 () (tptp.c_Divides_Odiv__class_Odiv @t66)) % 3.41/3.69 (define @t1321 () (tptp.hAPP @t1320 @t249)) % 3.41/3.69 (define @t1322 () (tptp.hAPP (tptp.hAPP @t1295 @t1048) @t1047)) % 3.41/3.69 (define @t1323 () (tptp.hAPP @t1285 @t101)) % 3.41/3.69 (define @t1324 () (tptp.hAPP @t1323 @t100)) % 3.41/3.69 (define @t1325 () (tptp.hAPP tptp.c_Int_Onat @t1324)) % 3.41/3.69 (define @t1326 () (=> @t415 (= @t1311 @t199))) % 3.41/3.69 (define @t1327 () (tptp.hAPP (tptp.hAPP @t1295 @t1022) @t1021)) % 3.41/3.69 (define @t1328 () (= @t1327 @t1311)) % 3.41/3.69 (define @t1329 () (= @t311 @t199)) % 3.41/3.69 (define @t1330 () (= @t1313 @t65)) % 3.41/3.69 (define @t1331 () (tptp.hAPP @t584 @t168)) % 3.41/3.69 (define @t1332 () (tptp.hAPP @t1285 @t168)) % 3.41/3.69 (define @t1333 () (tptp.hAPP @t1332 @t21)) % 3.41/3.69 (define @t1334 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1333) @t575))) % 3.41/3.69 (define @t1335 () (tptp.hAPP @t594 @t21)) % 3.41/3.69 (define @t1336 () (tptp.hBOOL @t1335)) % 3.41/3.69 (define @t1337 () (@list @t168 @t21)) % 3.41/3.69 (define @t1338 () (tptp.hAPP @t584 @t21)) % 3.41/3.69 (define @t1339 () (tptp.hBOOL (tptp.hAPP @t1338 @t575))) % 3.41/3.69 (define @t1340 () (tptp.hBOOL (tptp.hAPP @t1256 @t575))) % 3.41/3.69 (define @t1341 () (= @t249 @t575)) % 3.41/3.69 (define @t1342 () (not @t1341)) % 3.41/3.69 (define @t1343 () (tptp.hAPP (tptp.hAPP @t260 @t1021) @t235)) % 3.41/3.69 (define @t1344 () (@list @t235 @t65 @t311)) % 3.41/3.69 (define @t1345 () (tptp.hAPP @t1285 @t272)) % 3.41/3.69 (define @t1346 () (tptp.hAPP @t1345 @t87)) % 3.41/3.69 (define @t1347 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t101 @t100)) % 3.41/3.69 (define @t1348 () (tptp.hAPP @t1321 @t272)) % 3.41/3.69 (define @t1349 () (tptp.hAPP (tptp.hAPP @t1320 @t859) @t858)) % 3.41/3.69 (define @t1350 () (= @t87 @t326)) % 3.41/3.69 (define @t1351 () (not @t1350)) % 3.41/3.69 (define @t1352 () (=> @t1351 (= @t1349 @t1348))) % 3.41/3.69 (define @t1353 () (tptp.hAPP @t1320 @t715)) % 3.41/3.69 (define @t1354 () (tptp.hAPP @t1295 @t311)) % 3.41/3.69 (define @t1355 () (tptp.hBOOL (tptp.hAPP @t405 @t235))) % 3.41/3.69 (define @t1356 () (tptp.hAPP @t404 @t773)) % 3.41/3.69 (define @t1357 () (tptp.hBOOL (tptp.hAPP @t1356 @t65))) % 3.41/3.69 (define @t1358 () (tptp.hAPP (tptp.hAPP @t1285 @t143) @t316)) % 3.41/3.69 (define @t1359 () (@list @t316 @t143)) % 3.41/3.69 (define @t1360 () (tptp.hBOOL (tptp.hAPP @t901 @t168))) % 3.41/3.69 (define @t1361 () (tptp.hBOOL (tptp.hAPP @t901 @t1333))) % 3.41/3.69 (define @t1362 () (tptp.hAPP @t900 @t316)) % 3.41/3.69 (define @t1363 () (tptp.hAPP @t900 @t21)) % 3.41/3.69 (define @t1364 () (@list @t21 @t168)) % 3.41/3.69 (define @t1365 () (tptp.hAPP @t1289 @t541)) % 3.41/3.69 (define @t1366 () (tptp.hAPP @t900 @t1290)) % 3.41/3.69 (define @t1367 () (@list @t272 @t541 @t249)) % 3.41/3.69 (define @t1368 () (tptp.hBOOL (tptp.hAPP @t1366 @t575))) % 3.41/3.69 (define @t1369 () (= @t1290 @t575)) % 3.41/3.69 (define @t1370 () (tptp.hAPP (tptp.hAPP @t1285 @t360) @t272)) % 3.41/3.69 (define @t1371 () (tptp.hBOOL (tptp.hAPP @t1253 @t360))) % 3.41/3.69 (define @t1372 () (@list @t272 @t360 @t249)) % 3.41/3.69 (define @t1373 () (tptp.hAPP @t1264 @t311)) % 3.41/3.69 (define @t1374 () (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1164 @t1290)) @t1227)) % 3.41/3.69 (define @t1375 () (tptp.hAPP @t275 @t1348)) % 3.41/3.69 (define @t1376 () (tptp.hAPP (tptp.hAPP @t274 @t1348) @t688)) % 3.41/3.69 (define @t1377 () (tptp.hAPP (tptp.hAPP @t690 @t1348) @t272)) % 3.41/3.69 (define @t1378 () (tptp.hAPP (tptp.hAPP @t274 @t1377) @t1203)) % 3.41/3.69 (define @t1379 () (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t724 @t1348)) @t1203)) % 3.41/3.69 (define @t1380 () (= @t19 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t991 @t1183)) @t517))) % 3.41/3.69 (define @t1381 () (tptp.hBOOL (tptp.hAPP @t518 @t316))) % 3.41/3.69 (define @t1382 () (not @t1012)) % 3.41/3.69 (define @t1383 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t1305 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1142 @t87))) @t863)) % 3.41/3.69 (define @t1384 () (tptp.hBOOL (tptp.hAPP @t405 @t87))) % 3.41/3.69 (define @t1385 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1048 @t1047)) % 3.41/3.69 (define @t1386 () (tptp.hAPP tptp.c_Int_Onat @t1237)) % 3.41/3.69 (define @t1387 () (@var "V_q_2" $$unsorted)) % 3.41/3.69 (define @t1388 () (tptp.hAPP @t1285 @t311)) % 3.41/3.69 (define @t1389 () (tptp.c_SMT_Oz3div @t311 @t485)) % 3.41/3.69 (define @t1390 () (tptp.hAPP @t1388 @t485)) % 3.41/3.69 (define @t1391 () (tptp.hAPP @t677 @t1290)) % 3.41/3.69 (define @t1392 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 3.41/3.69 (define @t1393 () (tptp.hAPP (tptp.hAPP @t1392 @t1391) @t686)) % 3.41/3.69 (define @t1394 () (= @t1227 @t575)) % 3.41/3.69 (define @t1395 () (not @t1394)) % 3.41/3.69 (define @t1396 () (not (= @t272 @t575))) % 3.41/3.69 (define @t1397 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t1398 () (tptp.hAPP @t1397 @t235)) % 3.41/3.69 (define @t1399 () (tptp.hAPP @t1398 @t65)) % 3.41/3.69 (define @t1400 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1295 @t1399) @t65))) % 3.41/3.69 (define @t1401 () (= @t1311 @t1400)) % 3.41/3.69 (define @t1402 () (tptp.hAPP @t1268 @t809)) % 3.41/3.69 (define @t1403 () (tptp.hAPP @t581 @t4)) % 3.41/3.69 (define @t1404 () (tptp.hAPP @t901 @t316)) % 3.41/3.69 (define @t1405 () (tptp.hBOOL @t1404)) % 3.41/3.69 (define @t1406 () (tptp.hBOOL (tptp.hAPP @t594 @t809))) % 3.41/3.69 (define @t1407 () (@list @t316 @t55 @t809)) % 3.41/3.69 (define @t1408 () (@var "B_z" $$unsorted)) % 3.41/3.69 (define @t1409 () (@list @t1408)) % 3.41/3.69 (define @t1410 () (tptp.class_Fields_Olinordered__field__inverse__zero @t66)) % 3.41/3.69 (define @t1411 () (tptp.hAPP @t1397 @t471)) % 3.41/3.69 (define @t1412 () (tptp.hAPP @t1411 @t473)) % 3.41/3.69 (define @t1413 () (tptp.hAPP (tptp.hAPP @t1397 @t1412) @t311)) % 3.41/3.69 (define @t1414 () (tptp.c_Groups_Ominus__class_Ominus @t10)) % 3.41/3.69 (define @t1415 () (tptp.hAPP (tptp.hAPP @t1414 @t168) @t21)) % 3.41/3.69 (define @t1416 () (= @t1415 (tptp.hAPP (tptp.hAPP @t1414 @t20) @t809))) % 3.41/3.69 (define @t1417 () (tptp.class_Groups_Oab__group__add @t10)) % 3.41/3.69 (define @t1418 () (tptp.c_Groups_Ominus__class_Ominus @t66)) % 3.41/3.69 (define @t1419 () (@var "V_B_2" $$unsorted)) % 3.41/3.69 (define @t1420 () (tptp.hAPP @t1419 @t349)) % 3.41/3.69 (define @t1421 () (tptp.hAPP @t964 @t20)) % 3.41/3.69 (define @t1422 () (tptp.hBOOL (tptp.hAPP @t1421 @t809))) % 3.41/3.69 (define @t1423 () (= @t1415 @t331)) % 3.41/3.69 (define @t1424 () (tptp.hAPP @t1418 @t249)) % 3.41/3.69 (define @t1425 () (tptp.hBOOL (tptp.hAPP @t839 @t809))) % 3.41/3.69 (define @t1426 () (tptp.hAPP @t1418 @t283)) % 3.41/3.69 (define @t1427 () (tptp.hAPP @t1424 @t272)) % 3.41/3.69 (define @t1428 () (tptp.hAPP @t1418 @t272)) % 3.41/3.69 (define @t1429 () (tptp.hAPP @t1428 @t249)) % 3.41/3.69 (define @t1430 () (tptp.c_Divides_Odiv__class_Omod @t66 @t1427 @t87)) % 3.41/3.69 (define @t1431 () (tptp.hAPP @t1418 @t1208)) % 3.41/3.69 (define @t1432 () (tptp.hAPP @t1397 @t65)) % 3.41/3.69 (define @t1433 () (tptp.hAPP @t1432 @t235)) % 3.41/3.69 (define @t1434 () (= @t1399 @t199)) % 3.41/3.69 (define @t1435 () (tptp.hAPP @t1397 @t236)) % 3.41/3.69 (define @t1436 () (tptp.hAPP @t1435 @t65)) % 3.41/3.69 (define @t1437 () (tptp.hAPP @t1397 @t473)) % 3.41/3.69 (define @t1438 () (tptp.hAPP @t1397 @t485)) % 3.41/3.69 (define @t1439 () (tptp.hAPP @t1438 @t235)) % 3.41/3.69 (define @t1440 () (tptp.hAPP @t1438 @t65)) % 3.41/3.69 (define @t1441 () (@list @t485 @t65 @t235)) % 3.41/3.69 (define @t1442 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1399 @t65)) % 3.41/3.69 (define @t1443 () (= @t1312 @t1442)) % 3.41/3.69 (define @t1444 () (=> @t479 @t1443)) % 3.41/3.69 (define @t1445 () (tptp.hAPP @t1397 @t302)) % 3.41/3.69 (define @t1446 () (tptp.hAPP @t483 @t235)) % 3.41/3.69 (define @t1447 () (tptp.hAPP @t1397 @t1039)) % 3.41/3.69 (define @t1448 () (tptp.hAPP @t1397 @t19)) % 3.41/3.69 (define @t1449 () (tptp.hAPP @t1448 @t316)) % 3.41/3.69 (define @t1450 () (tptp.hAPP @t1397 @t314)) % 3.41/3.69 (define @t1451 () (tptp.hAPP @t1450 @t316)) % 3.41/3.69 (define @t1452 () (tptp.hAPP @t915 @t316)) % 3.41/3.69 (define @t1453 () (tptp.hBOOL (tptp.hAPP @t1452 @t19))) % 3.41/3.69 (define @t1454 () (tptp.hBOOL (tptp.hAPP @t1452 @t314))) % 3.41/3.69 (define @t1455 () (tptp.hAPP @t1432 @t471)) % 3.41/3.69 (define @t1456 () (tptp.hAPP (tptp.hAPP @t1392 @t632) @t631)) % 3.41/3.69 (define @t1457 () (tptp.hAPP @t1392 @t101)) % 3.41/3.69 (define @t1458 () (tptp.hAPP @t1457 @t100)) % 3.41/3.69 (define @t1459 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1458 @t235)) % 3.41/3.69 (define @t1460 () (@list @t100 @t235 @t101)) % 3.41/3.69 (define @t1461 () (tptp.hAPP @t1392 @t306)) % 3.41/3.69 (define @t1462 () (tptp.hAPP @t915 @t610)) % 3.41/3.69 (define @t1463 () (tptp.hAPP @t1397 @t349)) % 3.41/3.69 (define @t1464 () (tptp.hAPP @t1463 @t610)) % 3.41/3.69 (define @t1465 () (@var "V_e_2" $$unsorted)) % 3.41/3.69 (define @t1466 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP (tptp.hAPP @t704 @t1415) @t1465)) @t20)) % 3.41/3.69 (define @t1467 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t705 @t1465)) @t809)) % 3.41/3.69 (define @t1468 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t706 @t1465)) @t20)) % 3.41/3.69 (define @t1469 () (= @t1468 @t1467)) % 3.41/3.69 (define @t1470 () (tptp.class_Rings_Oring @t10)) % 3.41/3.69 (define @t1471 () (@list @t809 @t21 @t20 @t1465 @t168 @t10)) % 3.41/3.69 (define @t1472 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP (tptp.hAPP @t1414 @t21) @t168)) @t1465)) @t809)) % 3.41/3.69 (define @t1473 () (= @t1427 (tptp.hAPP @t281 @t717))) % 3.41/3.69 (define @t1474 () (tptp.hAPP @t274 @t101)) % 3.41/3.69 (define @t1475 () (tptp.hAPP @t1418 @t101)) % 3.41/3.69 (define @t1476 () (tptp.hAPP @t1475 @t100)) % 3.41/3.69 (define @t1477 () (@var "V_l_2" $$unsorted)) % 3.41/3.69 (define @t1478 () (tptp.hBOOL (tptp.hAPP @t1270 @t1477))) % 3.41/3.69 (define @t1479 () (@list @t1477 @t316)) % 3.41/3.69 (define @t1480 () (tptp.hAPP @t1448 @t314)) % 3.41/3.69 (define @t1481 () (tptp.hAPP @t404 @t1399)) % 3.41/3.69 (define @t1482 () (tptp.hAPP @t1450 @t19)) % 3.41/3.69 (define @t1483 () (@var "V_j_2" $$unsorted)) % 3.41/3.69 (define @t1484 () (tptp.hAPP @t260 @t143)) % 3.41/3.69 (define @t1485 () (tptp.hAPP @t1484 @t316)) % 3.41/3.69 (define @t1486 () (tptp.hAPP @t1397 @t1483)) % 3.41/3.69 (define @t1487 () (tptp.hAPP @t1486 @t316)) % 3.41/3.69 (define @t1488 () (tptp.hAPP @t404 @t143)) % 3.41/3.69 (define @t1489 () (@list @t316 @t1483 @t143)) % 3.41/3.69 (define @t1490 () (= (tptp.hAPP @t301 @t1399) @t235)) % 3.41/3.69 (define @t1491 () (tptp.hAPP @t1437 @t311)) % 3.41/3.69 (define @t1492 () (tptp.hAPP (tptp.hAPP @t260 @t1491) @t471)) % 3.41/3.69 (define @t1493 () (tptp.hAPP (tptp.hAPP @t1397 @t497) @t311)) % 3.41/3.69 (define @t1494 () (tptp.hBOOL (tptp.hAPP @t922 @t473))) % 3.41/3.69 (define @t1495 () (@list @t471 @t473 @t311)) % 3.41/3.69 (define @t1496 () (tptp.hAPP @t480 @t1491)) % 3.41/3.69 (define @t1497 () (tptp.hAPP (tptp.hAPP @t1397 @t481) @t311)) % 3.41/3.69 (define @t1498 () (tptp.hAPP @t1486 @t143)) % 3.41/3.69 (define @t1499 () (tptp.hAPP @t915 @t143)) % 3.41/3.69 (define @t1500 () (tptp.hBOOL (tptp.hAPP @t1499 @t1483))) % 3.41/3.69 (define @t1501 () (tptp.hAPP @t915 @t1483)) % 3.41/3.69 (define @t1502 () (tptp.hAPP @t641 @t823)) % 3.41/3.69 (define @t1503 () (tptp.hAPP @t1461 @t638)) % 3.41/3.69 (define @t1504 () (tptp.hAPP @t1398 @t773)) % 3.41/3.69 (define @t1505 () (tptp.hAPP @t1398 @t1312)) % 3.41/3.69 (define @t1506 () (tptp.hAPP (tptp.hAPP @t770 @t1311) @t65)) % 3.41/3.69 (define @t1507 () (tptp.hBOOL (tptp.hAPP @t1192 @t101))) % 3.41/3.69 (define @t1508 () (=> @t1507 (= @t1292 @t1458))) % 3.41/3.69 (define @t1509 () (@list @t101 @t100)) % 3.41/3.69 (define @t1510 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1468) @t1467))) % 3.41/3.69 (define @t1511 () (tptp.class_Rings_Oordered__ring @t10)) % 3.41/3.69 (define @t1512 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1468) @t1467))) % 3.41/3.69 (define @t1513 () (@var "B_d" $$unsorted)) % 3.41/3.69 (define @t1514 () (tptp.hBOOL (tptp.hAPP @t55 @t1513))) % 3.41/3.69 (define @t1515 () (= @t168 (tptp.hAPP (tptp.hAPP @t260 @t21) @t1513))) % 3.41/3.69 (define @t1516 () (@list @t1513)) % 3.41/3.69 (define @t1517 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t168) @t21))) % 3.41/3.69 (define @t1518 () (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t1397 @t168) @t21)))) % 3.41/3.69 (define @t1519 () (@list @t21 @t168 @t55)) % 3.41/3.69 (define @t1520 () (tptp.hAPP @t1392 @t583)) % 3.41/3.69 (define @t1521 () (tptp.hAPP tptp.c_Nat_OSuc @t473)) % 3.41/3.69 (define @t1522 () (tptp.hAPP tptp.c_Nat_OSuc @t1491)) % 3.41/3.69 (define @t1523 () (@list @t235 @t473 @t311)) % 3.41/3.69 (define @t1524 () (@var "V_u_2" $$unsorted)) % 3.41/3.69 (define @t1525 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 (tptp.hAPP (tptp.hAPP @t1397 @t143) @t1483)) @t1524)) @t314)) % 3.41/3.69 (define @t1526 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t1483) @t1524)) @t19)) % 3.41/3.69 (define @t1527 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t143) @t1524)) @t314)) % 3.41/3.69 (define @t1528 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1527) @t1526))) % 3.41/3.69 (define @t1529 () (tptp.hBOOL (tptp.hAPP @t1501 @t143))) % 3.41/3.69 (define @t1530 () (@list @t19 @t314 @t1524 @t143 @t1483)) % 3.41/3.69 (define @t1531 () (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP @t1177 @t235)) (tptp.hAPP @t1176 @t65))) % 3.41/3.69 (define @t1532 () (tptp.hBOOL (tptp.hAPP @t1175 @t471))) % 3.41/3.69 (define @t1533 () (= @t1527 @t1526)) % 3.41/3.69 (define @t1534 () (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t1498) @t1524)) @t19)) % 3.41/3.69 (define @t1535 () (@list @t19 @t314 @t1524 @t1483 @t143)) % 3.41/3.69 (define @t1536 () (tptp.hAPP @t1437 @t471)) % 3.41/3.69 (define @t1537 () (tptp.hAPP @t1392 @t272)) % 3.41/3.69 (define @t1538 () (tptp.hAPP (tptp.hAPP @t1285 @t235) @t65)) % 3.41/3.69 (define @t1539 () (tptp.hAPP @t1392 @t235)) % 3.41/3.69 (define @t1540 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t235 @t65)) % 3.41/3.69 (define @t1541 () (tptp.hAPP (tptp.hAPP @t674 @t65) @t1538)) % 3.41/3.69 (define @t1542 () (tptp.hAPP @t1432 @t773)) % 3.41/3.69 (define @t1543 () (tptp.hAPP tptp.c_Nat_OSuc @t1542)) % 3.41/3.69 (define @t1544 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1527) @t1526))) % 3.41/3.69 (define @t1545 () (not @t940)) % 3.41/3.69 (define @t1546 () (=> @t479 @t1401)) % 3.41/3.69 (define @t1547 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 3.41/3.69 (define @t1548 () (tptp.hAPP @t1547 @t311)) % 3.41/3.69 (define @t1549 () (tptp.hAPP @t1392 @t4)) % 3.41/3.69 (define @t1550 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 3.41/3.69 (define @t1551 () (tptp.hAPP (tptp.hAPP @t674 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1550 (tptp.hAPP @t1457 @t306))) @t686)) @t370)) % 3.41/3.69 (define @t1552 () (tptp.hBOOL (tptp.hAPP @t594 @t370))) % 3.41/3.69 (define @t1553 () (@var "V_p_2" $$unsorted)) % 3.41/3.69 (define @t1554 () (tptp.hAPP tptp.c_Nat_OSuc @t1183)) % 3.41/3.69 (define @t1555 () (tptp.hAPP @t404 @t1183)) % 3.41/3.69 (define @t1556 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t1557 () (tptp.hAPP @t1556 @t905)) % 3.41/3.69 (define @t1558 () (tptp.hAPP (tptp.hAPP @t1397 @t1557) @t773)) % 3.41/3.69 (define @t1559 () (@list @t905)) % 3.41/3.69 (define @t1560 () (tptp.c_Nitpick_Onat__gcd @t101 @t100)) % 3.41/3.69 (define @t1561 () (= @t100 @t199)) % 3.41/3.69 (define @t1562 () (tptp.c_Power_Opower__class_Opower @t66)) % 3.41/3.69 (define @t1563 () (tptp.hAPP (tptp.hAPP @t1547 @t306) @t65)) % 3.41/3.69 (define @t1564 () (tptp.c_Int_Onumber__class_Onumber__of @t66)) % 3.41/3.69 (define @t1565 () (tptp.hAPP @t1564 @t905)) % 3.41/3.69 (define @t1566 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 3.41/3.69 (define @t1567 () (tptp.hAPP @t1566 @t905)) % 3.41/3.69 (define @t1568 () (tptp.class_Int_Onumber__ring @t66)) % 3.41/3.69 (define @t1569 () (@list @t905 @t66)) % 3.41/3.69 (define @t1570 () (tptp.c_Groups_Oabs__class_Oabs @t66)) % 3.41/3.69 (define @t1571 () (tptp.hAPP @t1570 @t249)) % 3.41/3.69 (define @t1572 () (tptp.class_Groups_Oordered__ab__group__add__abs @t66)) % 3.41/3.69 (define @t1573 () (tptp.c_Int_Onumber__class_Onumber__of @t10)) % 3.41/3.69 (define @t1574 () (tptp.hAPP @t1573 @t610)) % 3.41/3.69 (define @t1575 () (tptp.hAPP @t1573 @t349)) % 3.41/3.69 (define @t1576 () (= @t1575 @t1574)) % 3.41/3.69 (define @t1577 () (tptp.class_Int_Onumber__ring @t10)) % 3.41/3.69 (define @t1578 () (and @t1577 @t751)) % 3.41/3.69 (define @t1579 () (tptp.hAPP @t1573 @t580)) % 3.41/3.69 (define @t1580 () (tptp.class_Int_Onumber @t10)) % 3.41/3.69 (define @t1581 () (tptp.hAPP @t1550 @t101)) % 3.41/3.69 (define @t1582 () (@list @t65 @t101)) % 3.41/3.69 (define @t1583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1571) @t272))) % 3.41/3.69 (define @t1584 () (tptp.c_Groups_Oabs__class_Oabs @t10)) % 3.41/3.69 (define @t1585 () (tptp.hAPP @t1584 @t168)) % 3.41/3.69 (define @t1586 () (tptp.class_Groups_Oordered__ab__group__add__abs @t10)) % 3.41/3.69 (define @t1587 () (tptp.hAPP @t1570 @t272)) % 3.41/3.69 (define @t1588 () (tptp.hAPP (tptp.hAPP @t274 @t1571) @t1587)) % 3.41/3.69 (define @t1589 () (tptp.hAPP @t690 @t1571)) % 3.41/3.69 (define @t1590 () (tptp.hAPP @t1589 @t1587)) % 3.41/3.69 (define @t1591 () (= (tptp.hAPP @t1570 @t715) @t1590)) % 3.41/3.69 (define @t1592 () (tptp.hAPP @t1570 @t1429)) % 3.41/3.69 (define @t1593 () (tptp.hAPP @t1570 @t1427)) % 3.41/3.69 (define @t1594 () (tptp.hAPP @t1562 @t100)) % 3.41/3.69 (define @t1595 () (tptp.hAPP @t1562 @t101)) % 3.41/3.69 (define @t1596 () (tptp.hAPP @t1595 @t1142)) % 3.41/3.69 (define @t1597 () (tptp.hAPP @t690 @t1596)) % 3.41/3.69 (define @t1598 () (@var "V_p" $$unsorted)) % 3.41/3.69 (define @t1599 () (tptp.hAPP @t770 @t1598)) % 3.41/3.69 (define @t1600 () (tptp.hAPP @t1595 @t1598)) % 3.41/3.69 (define @t1601 () (@list @t1142 @t1598 @t101 @t66)) % 3.41/3.69 (define @t1602 () (tptp.hAPP @t1547 @t101)) % 3.41/3.69 (define @t1603 () (tptp.hAPP @t1602 @t100)) % 3.41/3.69 (define @t1604 () (tptp.hAPP @t595 @t1557)) % 3.41/3.69 (define @t1605 () (= @t1604 @t326)) % 3.41/3.69 (define @t1606 () (tptp.hBOOL (tptp.hAPP @t901 @t1567))) % 3.41/3.69 (define @t1607 () (= @t1604 @t1565)) % 3.41/3.69 (define @t1608 () (tptp.hAPP @t1564 @t311)) % 3.41/3.69 (define @t1609 () (tptp.hAPP @t1564 @t101)) % 3.41/3.69 (define @t1610 () (tptp.hAPP @t1570 @t1609)) % 3.41/3.69 (define @t1611 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1609) @t326))) % 3.41/3.69 (define @t1612 () (and @t1568 @t554)) % 3.41/3.69 (define @t1613 () (tptp.hAPP @t1550 @t349)) % 3.41/3.69 (define @t1614 () (@list @t19 @t349)) % 3.41/3.69 (define @t1615 () (= @t1571 @t249)) % 3.41/3.69 (define @t1616 () (tptp.hAPP @t964 @t1585)) % 3.41/3.69 (define @t1617 () (tptp.hAPP @t442 @t1571)) % 3.41/3.69 (define @t1618 () (not @t332)) % 3.41/3.69 (define @t1619 () (@list @t370 @t272 @t87 @t249 @t66)) % 3.41/3.69 (define @t1620 () (tptp.hAPP (tptp.hAPP @t1418 @t1571) @t1587)) % 3.41/3.69 (define @t1621 () (tptp.hAPP @t908 @t1620)) % 3.41/3.69 (define @t1622 () (tptp.hAPP @t908 @t718)) % 3.41/3.69 (define @t1623 () (tptp.hBOOL (tptp.hAPP @t1622 @t272))) % 3.41/3.69 (define @t1624 () (@var "V_v_2" $$unsorted)) % 3.41/3.69 (define @t1625 () (tptp.hAPP @t1573 @t1624)) % 3.41/3.69 (define @t1626 () (tptp.hAPP @t434 @t1579)) % 3.41/3.69 (define @t1627 () (@list @t580 @t1624 @t10)) % 3.41/3.69 (define @t1628 () (tptp.hAPP @t1573 @t905)) % 3.41/3.69 (define @t1629 () (tptp.hAPP (tptp.hAPP @t704 @t272) @t1628)) % 3.41/3.69 (define @t1630 () (tptp.hAPP (tptp.hAPP @t704 @t249) @t1628)) % 3.41/3.69 (define @t1631 () (and @t1580 (tptp.class_Rings_Osemiring @t10))) % 3.41/3.69 (define @t1632 () (@list @t905 @t272 @t249 @t10)) % 3.41/3.69 (define @t1633 () (tptp.hAPP @t704 @t1628)) % 3.41/3.69 (define @t1634 () (tptp.hAPP @t1633 @t87)) % 3.41/3.69 (define @t1635 () (tptp.hAPP @t1633 @t272)) % 3.41/3.69 (define @t1636 () (@list @t87 @t272 @t905 @t10)) % 3.41/3.69 (define @t1637 () (tptp.hAPP @t803 @t1596)) % 3.41/3.69 (define @t1638 () (tptp.hAPP @t1595 (tptp.hAPP tptp.c_Nat_OSuc @t1142))) % 3.41/3.69 (define @t1639 () (@list @t1142 @t101 @t66)) % 3.41/3.69 (define @t1640 () (and @t1580 @t1470)) % 3.41/3.69 (define @t1641 () (tptp.hAPP @t964 @t1575)) % 3.41/3.69 (define @t1642 () (and @t1577 @t502)) % 3.41/3.69 (define @t1643 () (tptp.hAPP @t434 @t1575)) % 3.41/3.69 (define @t1644 () (tptp.hAPP @t1564 @t638)) % 3.41/3.69 (define @t1645 () (tptp.hAPP @t274 @t1565)) % 3.41/3.69 (define @t1646 () (tptp.hAPP @t1645 @t1644)) % 3.41/3.69 (define @t1647 () (tptp.hAPP @t581 @t905)) % 3.41/3.69 (define @t1648 () (tptp.hAPP @t1647 @t638)) % 3.41/3.69 (define @t1649 () (tptp.hAPP @t1564 @t1648)) % 3.41/3.69 (define @t1650 () (@list @t638 @t905 @t66)) % 3.41/3.69 (define @t1651 () (@list @t306 @t638 @t905 @t66)) % 3.41/3.69 (define @t1652 () (tptp.hAPP @t1602 @t65)) % 3.41/3.69 (define @t1653 () (tptp.hAPP @t674 @t905)) % 3.41/3.69 (define @t1654 () (tptp.hAPP @t1653 @t638)) % 3.41/3.69 (define @t1655 () (tptp.hAPP @t1564 @t1654)) % 3.41/3.69 (define @t1656 () (tptp.hAPP @t690 @t1565)) % 3.41/3.69 (define @t1657 () (tptp.hAPP @t1656 @t1644)) % 3.41/3.69 (define @t1658 () (tptp.hAPP (tptp.hAPP @t674 @t235) @t65)) % 3.41/3.69 (define @t1659 () (tptp.hAPP @t1418 @t1565)) % 3.41/3.69 (define @t1660 () (tptp.hAPP @t1659 @t1644)) % 3.41/3.69 (define @t1661 () (tptp.hAPP @t716 @t1644)) % 3.41/3.69 (define @t1662 () (tptp.hAPP @t1564 @t823)) % 3.41/3.69 (define @t1663 () (@list @t638 @t66)) % 3.41/3.69 (define @t1664 () (tptp.hAPP @t1570 @t101)) % 3.41/3.69 (define @t1665 () (tptp.hAPP @t1570 @t311)) % 3.41/3.69 (define @t1666 () (= @t1571 @t718)) % 3.41/3.69 (define @t1667 () (=> @t507 @t1666)) % 3.41/3.69 (define @t1668 () (tptp.hAPP @t1550 @t583)) % 3.41/3.69 (define @t1669 () (tptp.hAPP @t1550 @t471)) % 3.41/3.69 (define @t1670 () (tptp.hBOOL (tptp.hAPP @t646 @t575))) % 3.41/3.69 (define @t1671 () (tptp.hAPP @t1647 @t823)) % 3.41/3.69 (define @t1672 () (tptp.hAPP @t1564 @t1671)) % 3.41/3.69 (define @t1673 () (tptp.hAPP @t1562 @t272)) % 3.41/3.69 (define @t1674 () (tptp.hAPP @t1673 @t65)) % 3.41/3.69 (define @t1675 () (tptp.hAPP @t1562 @t249)) % 3.41/3.69 (define @t1676 () (tptp.hAPP @t1675 @t65)) % 3.41/3.69 (define @t1677 () (tptp.hAPP @t442 @t1676)) % 3.41/3.69 (define @t1678 () (tptp.hBOOL (tptp.hAPP @t1677 @t1674))) % 3.41/3.69 (define @t1679 () (@list @t65 @t272 @t249 @t66)) % 3.41/3.69 (define @t1680 () (tptp.hBOOL (tptp.hAPP @t699 @t249))) % 3.41/3.69 (define @t1681 () (@list @t65 @t249 @t66)) % 3.41/3.69 (define @t1682 () (tptp.c_Power_Opower__class_Opower @t10)) % 3.41/3.69 (define @t1683 () (tptp.hAPP @t1682 @t21)) % 3.41/3.69 (define @t1684 () (tptp.hAPP @t1683 @t610)) % 3.41/3.69 (define @t1685 () (tptp.hAPP @t1683 @t349)) % 3.41/3.69 (define @t1686 () (tptp.hAPP @t434 @t709)) % 3.41/3.69 (define @t1687 () (tptp.hBOOL (tptp.hAPP @t1686 @t21))) % 3.41/3.69 (define @t1688 () (@list @t610 @t349 @t21 @t10)) % 3.41/3.69 (define @t1689 () (tptp.hAPP @t1675 @t235)) % 3.41/3.69 (define @t1690 () (@list @t65 @t235 @t249 @t66)) % 3.41/3.69 (define @t1691 () (@var "V_N" $$unsorted)) % 3.41/3.69 (define @t1692 () (tptp.hAPP @t1675 @t1691)) % 3.41/3.69 (define @t1693 () (tptp.hBOOL (tptp.hAPP @t1036 @t1691))) % 3.41/3.69 (define @t1694 () (@list @t249 @t1691 @t65 @t66)) % 3.41/3.69 (define @t1695 () (tptp.hBOOL (tptp.hAPP @t445 @t688))) % 3.41/3.69 (define @t1696 () (tptp.hBOOL (tptp.hAPP @t411 @t1691))) % 3.41/3.69 (define @t1697 () (tptp.hAPP @t1675 @t67)) % 3.41/3.69 (define @t1698 () (tptp.hBOOL (tptp.hAPP @t1362 @t1477))) % 3.41/3.69 (define @t1699 () (tptp.hAPP @t1566 @t1477)) % 3.41/3.69 (define @t1700 () (tptp.hAPP @t1566 @t316)) % 3.41/3.69 (define @t1701 () (tptp.hAPP @t1566 @t638)) % 3.41/3.69 (define @t1702 () (tptp.hAPP @t581 @t1567)) % 3.41/3.69 (define @t1703 () (@list @t638 @t905)) % 3.41/3.69 (define @t1704 () (tptp.hAPP @t677 @t1701)) % 3.41/3.69 (define @t1705 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t1706 () (tptp.hAPP @t1705 @t349)) % 3.41/3.69 (define @t1707 () (tptp.hAPP @t1705 @t471)) % 3.41/3.69 (define @t1708 () (tptp.hAPP @t1707 @t65)) % 3.41/3.69 (define @t1709 () (tptp.hAPP @t1707 @t235)) % 3.41/3.69 (define @t1710 () (@list @t65 @t235 @t471)) % 3.41/3.69 (define @t1711 () (tptp.hAPP @t1556 @t638)) % 3.41/3.69 (define @t1712 () (tptp.hAPP (tptp.hAPP @t1547 @t592) @t65)) % 3.41/3.69 (define @t1713 () (tptp.hAPP (tptp.hAPP @t1705 @t235) @t65)) % 3.41/3.69 (define @t1714 () (tptp.hAPP @t576 @t1713)) % 3.41/3.69 (define @t1715 () (tptp.hAPP @t1705 @t1598)) % 3.41/3.69 (define @t1716 () (tptp.hAPP @t1715 @t235)) % 3.41/3.69 (define @t1717 () (tptp.hAPP @t1566 @t1624)) % 3.41/3.69 (define @t1718 () (@list @t65 @t306)) % 3.41/3.69 (define @t1719 () (tptp.hAPP @t692 @t1676)) % 3.41/3.69 (define @t1720 () (tptp.hAPP @t690 @t1676)) % 3.41/3.69 (define @t1721 () (tptp.hAPP @t1720 @t249)) % 3.41/3.69 (define @t1722 () (tptp.hAPP @t1562 @t688)) % 3.41/3.69 (define @t1723 () (@var "V_v_H" $$unsorted)) % 3.41/3.69 (define @t1724 () (tptp.hAPP @t1566 @t1723)) % 3.41/3.69 (define @t1725 () (tptp.hAPP @t1285 @t686)) % 3.41/3.69 (define @t1726 () (tptp.hAPP @t1556 @t1723)) % 3.41/3.69 (define @t1727 () (@list @t1723)) % 3.41/3.69 (define @t1728 () (tptp.hAPP @t1562 @t1571)) % 3.41/3.69 (define @t1729 () (tptp.hAPP @t1728 @t65)) % 3.41/3.69 (define @t1730 () (tptp.hAPP @t1570 @t1676)) % 3.41/3.69 (define @t1731 () (tptp.hAPP @t908 @t1676)) % 3.41/3.69 (define @t1732 () (tptp.hAPP @t1682 @t168)) % 3.41/3.69 (define @t1733 () (tptp.hAPP @t1732 @t19)) % 3.41/3.69 (define @t1734 () (tptp.class_Power_Opower @t10)) % 3.41/3.69 (define @t1735 () (@list @t19 @t168 @t10)) % 3.41/3.69 (define @t1736 () (tptp.hBOOL (tptp.hAPP @t1084 @t249))) % 3.41/3.69 (define @t1737 () (tptp.hAPP @t1562 @t326)) % 3.41/3.69 (define @t1738 () (tptp.class_Power_Opower @t66)) % 3.41/3.69 (define @t1739 () (and @t1738 (tptp.class_Rings_Osemiring__0 @t66))) % 3.41/3.69 (define @t1740 () (tptp.hAPP @t1562 @t718)) % 3.41/3.69 (define @t1741 () (tptp.hAPP @t1740 @t65)) % 3.41/3.69 (define @t1742 () (@list @t272 @t65 @t249 @t66)) % 3.41/3.69 (define @t1743 () (tptp.hAPP @t1673 @t67)) % 3.41/3.69 (define @t1744 () (tptp.hAPP @t1737 @t65)) % 3.41/3.69 (define @t1745 () (tptp.hAPP @t1562 @t767)) % 3.41/3.69 (define @t1746 () (tptp.hAPP @t1550 @t100)) % 3.41/3.69 (define @t1747 () (tptp.hAPP tptp.c_Int_Onat @t1746)) % 3.41/3.69 (define @t1748 () (tptp.hAPP tptp.c_Int_Onat @t1581)) % 3.41/3.69 (define @t1749 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t259 @t1726)) % 3.41/3.69 (define @t1750 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1724))) % 3.41/3.69 (define @t1751 () (not @t1750)) % 3.41/3.69 (define @t1752 () (@list @t10)) % 3.41/3.69 (define @t1753 () (tptp.hAPP @t1285 @t1567)) % 3.41/3.69 (define @t1754 () (tptp.hAPP (tptp.hAPP @t1295 @t1557) @t1726)) % 3.41/3.69 (define @t1755 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1567))) % 3.41/3.69 (define @t1756 () (not @t1755)) % 3.41/3.69 (define @t1757 () (@list @t1723 @t905)) % 3.41/3.69 (define @t1758 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1557 @t1726)) % 3.41/3.69 (define @t1759 () (@list @t349)) % 3.41/3.69 (define @t1760 () (@var "V_Z_2" $$unsorted)) % 3.41/3.69 (define @t1761 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t306))) % 3.41/3.69 (define @t1762 () (@var "V_one_2" $$unsorted)) % 3.41/3.69 (define @t1763 () (@var "V_times_2" $$unsorted)) % 3.41/3.69 (define @t1764 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t10 @t1762 @t1763) @t168)) % 3.41/3.69 (define @t1765 () (= @t1557 @t199)) % 3.41/3.69 (define @t1766 () (@var "V_v_H_2" $$unsorted)) % 3.41/3.69 (define @t1767 () (tptp.hAPP @t1566 @t1766)) % 3.41/3.69 (define @t1768 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1767))) % 3.41/3.69 (define @t1769 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1717))) % 3.41/3.69 (define @t1770 () (tptp.hAPP @t1556 @t1766)) % 3.41/3.69 (define @t1771 () (tptp.hAPP @t1556 @t1624)) % 3.41/3.69 (define @t1772 () (@list @t1766 @t1624)) % 3.41/3.69 (define @t1773 () (tptp.hAPP @t1556 (tptp.hAPP @t1647 @t1723))) % 3.41/3.69 (define @t1774 () (tptp.hAPP (tptp.hAPP @t260 @t1726) @t311)) % 3.41/3.69 (define @t1775 () (tptp.hAPP @t260 @t1557)) % 3.41/3.69 (define @t1776 () (tptp.hAPP @t1775 @t1774)) % 3.41/3.69 (define @t1777 () (@list @t311 @t1723 @t905)) % 3.41/3.69 (define @t1778 () (tptp.hAPP @t576 @t1557)) % 3.41/3.69 (define @t1779 () (tptp.hAPP @t1547 @t1567)) % 3.41/3.69 (define @t1780 () (tptp.hAPP @t1705 @t1557)) % 3.41/3.69 (define @t1781 () (tptp.hAPP @t1780 @t1711)) % 3.41/3.69 (define @t1782 () (tptp.hAPP @t1705 @t199)) % 3.41/3.69 (define @t1783 () (tptp.hAPP @t1780 @t65)) % 3.41/3.69 (define @t1784 () (@list @t65 @t905)) % 3.41/3.69 (define @t1785 () (tptp.hAPP @t1556 (tptp.c_Int_Osucc @t905))) % 3.41/3.69 (define @t1786 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1775 @t65))) % 3.41/3.69 (define @t1787 () (tptp.hAPP tptp.c_Nat_OSuc @t1557)) % 3.41/3.69 (define @t1788 () (tptp.hAPP @t1537 @t686)) % 3.41/3.69 (define @t1789 () (tptp.hAPP @t1566 tptp.c_Int_OMin)) % 3.41/3.69 (define @t1790 () (tptp.hAPP @t2 @t1183)) % 3.41/3.69 (define @t1791 () (= @t1790 @t316)) % 3.41/3.69 (define @t1792 () (tptp.hBOOL (tptp.hAPP @t1186 @t19))) % 3.41/3.69 (define @t1793 () (tptp.hBOOL (tptp.hAPP @t1362 @t204))) % 3.41/3.69 (define @t1794 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP @t1550 (tptp.hAPP (tptp.hAPP @t1392 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t260 @t1183) @t773))) @t1790))) @t686))) % 3.41/3.69 (define @t1795 () (tptp.hBOOL (tptp.hAPP @t1555 @t19))) % 3.41/3.69 (define @t1796 () (tptp.hAPP @t677 @t610)) % 3.41/3.69 (define @t1797 () (tptp.hAPP @t581 @t349)) % 3.41/3.69 (define @t1798 () (tptp.c_Int_Osucc @t311)) % 3.41/3.69 (define @t1799 () (tptp.hAPP @t1392 @t311)) % 3.41/3.69 (define @t1800 () (tptp.hAPP @t1564 tptp.c_Int_OMin)) % 3.41/3.69 (define @t1801 () (tptp.hAPP @t900 tptp.c_Int_OMin)) % 3.41/3.69 (define @t1802 () (tptp.hAPP @t584 tptp.c_Int_OMin)) % 3.41/3.69 (define @t1803 () (= @t583 @t331)) % 3.41/3.69 (define @t1804 () (tptp.hAPP @t716 @t306)) % 3.41/3.69 (define @t1805 () (tptp.hAPP @t690 @t306)) % 3.41/3.69 (define @t1806 () (tptp.hAPP @t1562 @t1800)) % 3.41/3.69 (define @t1807 () (tptp.hAPP @t1088 @t1557)) % 3.41/3.69 (define @t1808 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t905) tptp.c_Int_OPls))) % 3.41/3.69 (define @t1809 () (not @t1808)) % 3.41/3.69 (define @t1810 () (tptp.hAPP @t1775 @t773)) % 3.41/3.69 (define @t1811 () (tptp.hAPP @t677 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1812 () (tptp.hAPP @t581 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1813 () (@list @t610 @t10)) % 3.41/3.69 (define @t1814 () (= @t1771 @t199)) % 3.41/3.69 (define @t1815 () (tptp.hAPP @t1566 (tptp.c_Int_Opred @t1624))) % 3.41/3.69 (define @t1816 () (@list @t1624)) % 3.41/3.69 (define @t1817 () (tptp.hAPP @t1556 (tptp.hAPP @t1653 @t1723))) % 3.41/3.69 (define @t1818 () (tptp.hAPP @t770 @t1557)) % 3.41/3.69 (define @t1819 () (tptp.hAPP @t1818 (tptp.hAPP (tptp.hAPP @t770 @t1726) @t311))) % 3.41/3.69 (define @t1820 () (tptp.hAPP @t1818 @t1726)) % 3.41/3.69 (define @t1821 () (tptp.hAPP @t900 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1822 () (tptp.hAPP @t584 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1823 () (tptp.hAPP @t1564 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1824 () (tptp.hAPP @t1556 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1825 () (tptp.hAPP @t1566 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1826 () (tptp.hAPP @t1556 (tptp.c_Int_Opred @t905))) % 3.41/3.69 (define @t1827 () (tptp.c_Int_Opred @t311)) % 3.41/3.69 (define @t1828 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t905) tptp.c_Int_OPls))) % 3.41/3.69 (define @t1829 () (tptp.hAPP @t900 @t1624)) % 3.41/3.69 (define @t1830 () (tptp.hBOOL (tptp.hAPP @t1829 tptp.c_Int_OPls))) % 3.41/3.69 (define @t1831 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1624) @t1766))) % 3.41/3.69 (define @t1832 () (tptp.hAPP @t404 @t1771)) % 3.41/3.69 (define @t1833 () (tptp.hAPP @t915 @t1771)) % 3.41/3.69 (define @t1834 () (tptp.hAPP @t1775 @t1726)) % 3.41/3.69 (define @t1835 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1723) tptp.c_Int_OPls))) % 3.41/3.69 (define @t1836 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1837 () (tptp.hAPP @t677 @t1836)) % 3.41/3.69 (define @t1838 () (tptp.hAPP @t581 @t1836)) % 3.41/3.69 (define @t1839 () (tptp.c_Int_OBit1 @t1836)) % 3.41/3.69 (define @t1840 () (tptp.hAPP @t1556 @t1839)) % 3.41/3.69 (define @t1841 () (tptp.hAPP @t260 @t1840)) % 3.41/3.69 (define @t1842 () (tptp.hAPP @t1841 @t235)) % 3.41/3.69 (define @t1843 () (tptp.hAPP @t1295 @t1842)) % 3.41/3.69 (define @t1844 () (tptp.hAPP tptp.c_Nat_OSuc @t236)) % 3.41/3.69 (define @t1845 () (tptp.hAPP tptp.c_Nat_OSuc @t1844)) % 3.41/3.69 (define @t1846 () (tptp.hAPP @t1295 @t1845)) % 3.41/3.69 (define @t1847 () (@list @t905 @t235)) % 3.41/3.69 (define @t1848 () (= @t316 @t1477)) % 3.41/3.69 (define @t1849 () (tptp.c_Int_OBit1 @t1477)) % 3.41/3.69 (define @t1850 () (tptp.c_Int_OBit1 @t316)) % 3.41/3.69 (define @t1851 () (tptp.hAPP @t900 @t1850)) % 3.41/3.69 (define @t1852 () (@var "V_k2_2" $$unsorted)) % 3.41/3.69 (define @t1853 () (@var "V_k1_2" $$unsorted)) % 3.41/3.69 (define @t1854 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1853) @t1852))) % 3.41/3.69 (define @t1855 () (tptp.c_Int_OBit1 @t1852)) % 3.41/3.69 (define @t1856 () (tptp.c_Int_OBit1 @t1853)) % 3.41/3.69 (define @t1857 () (tptp.hAPP @t900 @t1856)) % 3.41/3.69 (define @t1858 () (@list @t1852 @t1853)) % 3.41/3.69 (define @t1859 () (tptp.hAPP @t584 @t1850)) % 3.41/3.69 (define @t1860 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1853) @t1852))) % 3.41/3.69 (define @t1861 () (tptp.hAPP @t584 @t1856)) % 3.41/3.69 (define @t1862 () (tptp.c_Int_OBit1 @t485)) % 3.41/3.69 (define @t1863 () (@list @t485)) % 3.41/3.69 (define @t1864 () (tptp.c_Int_OBit1 @t311)) % 3.41/3.69 (define @t1865 () (@list @t1477)) % 3.41/3.69 (define @t1866 () (@list @t316)) % 3.41/3.69 (define @t1867 () (tptp.hBOOL (tptp.hAPP @t585 @t575))) % 3.41/3.69 (define @t1868 () (tptp.c_Int_OBit1 @t580)) % 3.41/3.69 (define @t1869 () (@list @t580)) % 3.41/3.69 (define @t1870 () (tptp.hBOOL (tptp.hAPP @t1821 @t316))) % 3.41/3.69 (define @t1871 () (tptp.hBOOL (tptp.hAPP @t1270 tptp.c_Int_OPls))) % 3.41/3.69 (define @t1872 () (tptp.hBOOL (tptp.hAPP @t1362 tptp.c_Int_OMin))) % 3.41/3.69 (define @t1873 () (tptp.hBOOL (tptp.hAPP @t1802 @t316))) % 3.41/3.69 (define @t1874 () (tptp.hAPP @t1566 @t580)) % 3.41/3.69 (define @t1875 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1874))) % 3.41/3.69 (define @t1876 () (tptp.hAPP @t1564 (tptp.c_Int_OBit1 @t638))) % 3.41/3.69 (define @t1877 () (tptp.hAPP @t696 @t1644)) % 3.41/3.69 (define @t1878 () (tptp.hAPP @t1564 @t1836)) % 3.41/3.69 (define @t1879 () (tptp.hAPP @t1556 @t1836)) % 3.41/3.69 (define @t1880 () (tptp.hAPP @t1392 tptp.c_Int_OMin)) % 3.41/3.69 (define @t1881 () (tptp.hAPP @t1880 @t485)) % 3.41/3.69 (define @t1882 () (tptp.c_Int_OBit1 @t1881)) % 3.41/3.69 (define @t1883 () (tptp.hAPP @t1392 tptp.c_Int_OPls)) % 3.41/3.69 (define @t1884 () (tptp.hAPP tptp.c_Nat_OSuc @t259)) % 3.41/3.69 (define @t1885 () (tptp.hAPP @t1566 @t1839)) % 3.41/3.69 (define @t1886 () (tptp.hAPP @t1841 @t65)) % 3.41/3.69 (define @t1887 () (tptp.hAPP tptp.c_Nat_OSuc @t67)) % 3.41/3.69 (define @t1888 () (tptp.hAPP tptp.c_Nat_OSuc @t1887)) % 3.41/3.69 (define @t1889 () (tptp.hAPP @t1702 @t686)) % 3.41/3.69 (define @t1890 () (tptp.c_Int_OBit0 @t1836)) % 3.41/3.69 (define @t1891 () (tptp.hAPP @t1566 @t1890)) % 3.41/3.69 (define @t1892 () (tptp.hAPP @t674 @t1891)) % 3.41/3.69 (define @t1893 () (tptp.c_Int_OBit0 @t638)) % 3.41/3.69 (define @t1894 () (tptp.hAPP @t1566 @t1893)) % 3.41/3.69 (define @t1895 () (tptp.hAPP @t1566 (tptp.c_Int_OBit1 @t905))) % 3.41/3.69 (define @t1896 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1895 @t1894)) % 3.41/3.69 (define @t1897 () (tptp.hBOOL (tptp.hAPP @t901 @t1701))) % 3.41/3.69 (define @t1898 () (not @t1897)) % 3.41/3.69 (define @t1899 () (tptp.hAPP @t1892 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1567 @t1701))) % 3.41/3.69 (define @t1900 () (@list @t905 @t638)) % 3.41/3.69 (define @t1901 () (tptp.hAPP (tptp.hAPP @t581 @t272) @t686)) % 3.41/3.69 (define @t1902 () (tptp.hAPP @t1892 @t249)) % 3.41/3.69 (define @t1903 () (tptp.hAPP @t1892 @t272)) % 3.41/3.69 (define @t1904 () (tptp.hAPP @t687 @t1903)) % 3.41/3.69 (define @t1905 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1904 @t1902)) % 3.41/3.69 (define @t1906 () (tptp.hAPP (tptp.hAPP @t1285 @t1904) @t1902)) % 3.41/3.69 (define @t1907 () (tptp.hAPP @t595 @t1048)) % 3.41/3.69 (define @t1908 () (tptp.c_Int_OBit0 @t1477)) % 3.41/3.69 (define @t1909 () (tptp.c_Int_OBit0 @t316)) % 3.41/3.69 (define @t1910 () (tptp.c_Int_OBit0 @t1852)) % 3.41/3.69 (define @t1911 () (tptp.c_Int_OBit0 @t1853)) % 3.41/3.69 (define @t1912 () (tptp.hAPP @t900 @t1911)) % 3.41/3.69 (define @t1913 () (tptp.hAPP @t900 @t1909)) % 3.41/3.69 (define @t1914 () (tptp.hAPP @t584 @t1911)) % 3.41/3.69 (define @t1915 () (tptp.hAPP @t584 @t1909)) % 3.41/3.69 (define @t1916 () (tptp.c_Int_OBit0 @t485)) % 3.41/3.69 (define @t1917 () (tptp.c_Int_OBit0 @t311)) % 3.41/3.69 (define @t1918 () (tptp.hAPP @t1043 @t485)) % 3.41/3.69 (define @t1919 () (tptp.hAPP @t581 @t1917)) % 3.41/3.69 (define @t1920 () (tptp.c_Int_OBit0 (tptp.hAPP @t869 @t485))) % 3.41/3.69 (define @t1921 () (tptp.hAPP @t1799 @t485)) % 3.41/3.69 (define @t1922 () (tptp.c_Int_OBit0 @t1921)) % 3.41/3.69 (define @t1923 () (tptp.hAPP @t1392 @t1917)) % 3.41/3.69 (define @t1924 () (tptp.c_Int_OBit0 @t580)) % 3.41/3.69 (define @t1925 () (tptp.c_Int_OBit1 @t1918)) % 3.41/3.69 (define @t1926 () (tptp.hAPP @t581 @t1864)) % 3.41/3.69 (define @t1927 () (tptp.hAPP @t1392 @t1864)) % 3.41/3.69 (define @t1928 () (tptp.hAPP @t1753 @t1701)) % 3.41/3.69 (define @t1929 () (tptp.hAPP @t1566 (tptp.c_Int_OBit0 @t905))) % 3.41/3.69 (define @t1930 () (@list @t580 @t10)) % 3.41/3.69 (define @t1931 () (tptp.hAPP @t1564 @t1893)) % 3.41/3.69 (define @t1932 () (tptp.hAPP @t1566 @t65)) % 3.41/3.69 (define @t1933 () (tptp.hAPP @t274 @t306)) % 3.41/3.69 (define @t1934 () (tptp.hAPP @t1933 @t306)) % 3.41/3.69 (define @t1935 () (tptp.hAPP @t1564 @t1890)) % 3.41/3.69 (define @t1936 () (tptp.hAPP @t690 @t1935)) % 3.41/3.69 (define @t1937 () (tptp.hAPP @t1556 @t1890)) % 3.41/3.69 (define @t1938 () (tptp.hAPP @t1732 @t1937)) % 3.41/3.69 (define @t1939 () (tptp.hAPP @t1675 @t1937)) % 3.41/3.69 (define @t1940 () (tptp.hAPP @t1595 @t1937)) % 3.41/3.69 (define @t1941 () (tptp.hAPP (tptp.hAPP @t260 @t306) @t306)) % 3.41/3.69 (define @t1942 () (tptp.hAPP @t770 @t1937)) % 3.41/3.69 (define @t1943 () (tptp.hAPP (tptp.hAPP @t1562 @t1676) @t1937)) % 3.41/3.69 (define @t1944 () (tptp.hAPP @t1942 @t65)) % 3.41/3.69 (define @t1945 () (tptp.hAPP @t1675 @t1944)) % 3.41/3.69 (define @t1946 () (tptp.hAPP tptp.c_Int_Onat @t1891)) % 3.41/3.69 (define @t1947 () (tptp.hAPP @t1594 @t1937)) % 3.41/3.69 (define @t1948 () (tptp.hAPP @t1682 @t349)) % 3.41/3.69 (define @t1949 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t1948 @t1937)) (tptp.hAPP (tptp.hAPP @t1682 @t610) @t1937))) % 3.41/3.69 (define @t1950 () (tptp.hAPP @t1573 @t638)) % 3.41/3.69 (define @t1951 () (tptp.hAPP @t1595 @t65)) % 3.41/3.69 (define @t1952 () (tptp.hAPP (tptp.hAPP @t690 @t1951) @t1951)) % 3.41/3.69 (define @t1953 () (@list @t65 @t101 @t66)) % 3.41/3.69 (define @t1954 () (tptp.hAPP (tptp.hAPP @t274 @t1940) @t1947)) % 3.41/3.69 (define @t1955 () (tptp.hAPP (tptp.hAPP @t690 (tptp.hAPP @t1936 @t101)) @t100)) % 3.41/3.69 (define @t1956 () (tptp.hAPP @t1474 @t100)) % 3.41/3.69 (define @t1957 () (tptp.hAPP tptp.c_Nat_OSuc @t1944)) % 3.41/3.69 (define @t1958 () (tptp.hAPP @t1675 @t1957)) % 3.41/3.69 (define @t1959 () (tptp.hAPP (tptp.hAPP @t1285 @t1895) @t1894)) % 3.41/3.69 (define @t1960 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t314 @t1937)) % 3.41/3.69 (define @t1961 () (@list @t314)) % 3.41/3.69 (define @t1962 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t1963 () (tptp.hAPP @t1962 @t1890)) % 3.41/3.69 (define @t1964 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t1965 () (tptp.hAPP @t1892 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t1964 @t311) @t1963)))) % 3.41/3.69 (define @t1966 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t311)) % 3.41/3.69 (define @t1967 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t1968 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t311 @t1963) @t1967)) % 3.41/3.69 (define @t1969 () (= @t311 @t1967)) % 3.41/3.69 (define @t1970 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t1971 () (tptp.c_Rings_Oinverse__class_Odivide @t66)) % 3.41/3.69 (define @t1972 () (@var "V_r_2" $$unsorted)) % 3.41/3.69 (define @t1973 () (tptp.c_Rings_Oinverse__class_Odivide @t10)) % 3.41/3.69 (define @t1974 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 3.41/3.69 (define @t1975 () (@list @t1972 @t10)) % 3.41/3.69 (define @t1976 () (tptp.hBOOL (tptp.hAPP @t941 @t1183))) % 3.41/3.69 (define @t1977 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t1978 () (tptp.hAPP @t1971 @t249)) % 3.41/3.69 (define @t1979 () (tptp.class_Rings_Odivision__ring__inverse__zero @t66)) % 3.41/3.69 (define @t1980 () (tptp.class_Rings_Odivision__ring @t66)) % 3.41/3.69 (define @t1981 () (tptp.hAPP (tptp.hAPP @t1971 @t272) @t87)) % 3.41/3.69 (define @t1982 () (tptp.hAPP @t1978 @t87)) % 3.41/3.69 (define @t1983 () (tptp.hAPP @t1971 @t283)) % 3.41/3.69 (define @t1984 () (tptp.hAPP @t1971 @t101)) % 3.41/3.69 (define @t1985 () (tptp.hAPP @t1984 @t100)) % 3.41/3.69 (define @t1986 () (tptp.class_Fields_Ofield__inverse__zero @t66)) % 3.41/3.69 (define @t1987 () (tptp.hAPP @t1978 @t272)) % 3.41/3.69 (define @t1988 () (tptp.hAPP @t1971 @t718)) % 3.41/3.69 (define @t1989 () (= (tptp.hAPP @t1988 @t717) @t1987)) % 3.41/3.69 (define @t1990 () (tptp.hAPP @t716 @t1987)) % 3.41/3.69 (define @t1991 () (= @t1990 (tptp.hAPP @t1978 @t717))) % 3.41/3.69 (define @t1992 () (= (tptp.hAPP (tptp.hAPP @t1562 @t1987) @t65) (tptp.hAPP (tptp.hAPP @t1971 @t1676) @t1674))) % 3.41/3.69 (define @t1993 () (= (tptp.hAPP @t1570 @t1987) (tptp.hAPP (tptp.hAPP @t1971 @t1571) @t1587))) % 3.41/3.69 (define @t1994 () (tptp.c_Nat__Transfer_Ois__nat @t100)) % 3.41/3.69 (define @t1995 () (tptp.c_Nat__Transfer_Ois__nat @t101)) % 3.41/3.69 (define @t1996 () (tptp.hAPP (tptp.hAPP @t1973 @t168) @t21)) % 3.41/3.69 (define @t1997 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1982) @t1981))) % 3.41/3.69 (define @t1998 () (tptp.class_Fields_Olinordered__field @t66)) % 3.41/3.69 (define @t1999 () (tptp.hBOOL (tptp.hAPP @t510 @t1985))) % 3.41/3.69 (define @t2000 () (tptp.hBOOL (tptp.hAPP @t548 @t326))) % 3.41/3.69 (define @t2001 () (tptp.hBOOL (tptp.hAPP @t550 @t326))) % 3.41/3.69 (define @t2002 () (tptp.hAPP @t442 @t1985)) % 3.41/3.69 (define @t2003 () (tptp.hBOOL (tptp.hAPP @t2002 @t326))) % 3.41/3.69 (define @t2004 () (tptp.hBOOL (tptp.hAPP @t510 @t100))) % 3.41/3.69 (define @t2005 () (tptp.hBOOL (tptp.hAPP @t515 @t21))) % 3.41/3.69 (define @t2006 () (tptp.hBOOL (tptp.hAPP @t787 @t331))) % 3.41/3.69 (define @t2007 () (= @t20 @t331)) % 3.41/3.69 (define @t2008 () (=> @t2007 @t332)) % 3.41/3.69 (define @t2009 () (= @t811 @t21)) % 3.41/3.69 (define @t2010 () (not @t2007)) % 3.41/3.69 (define @t2011 () (tptp.hAPP @t1973 @t21)) % 3.41/3.69 (define @t2012 () (tptp.hAPP @t2011 @t20)) % 3.41/3.69 (define @t2013 () (= @t168 @t2012)) % 3.41/3.69 (define @t2014 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 3.41/3.69 (define @t2015 () (= @t21 @t811)) % 3.41/3.69 (define @t2016 () (= @t2012 @t168)) % 3.41/3.69 (define @t2017 () (@list @t168 @t20 @t21 @t10)) % 3.41/3.69 (define @t2018 () (tptp.class_Fields_Ofield @t10)) % 3.41/3.69 (define @t2019 () (tptp.class_Rings_Odivision__ring @t10)) % 3.41/3.69 (define @t2020 () (@list @t168 @t21 @t20 @t10)) % 3.41/3.69 (define @t2021 () (tptp.hAPP @t1978 @t249)) % 3.41/3.69 (define @t2022 () (=> @t800 (= @t2021 @t688))) % 3.41/3.69 (define @t2023 () (tptp.class_Fields_Ofield @t66)) % 3.41/3.69 (define @t2024 () (tptp.hAPP @t1971 @t688)) % 3.41/3.69 (define @t2025 () (tptp.hBOOL (tptp.hAPP @t909 @t1985))) % 3.41/3.69 (define @t2026 () (tptp.hBOOL (tptp.hAPP @t914 @t326))) % 3.41/3.69 (define @t2027 () (tptp.hAPP @t908 @t1985)) % 3.41/3.69 (define @t2028 () (tptp.hBOOL (tptp.hAPP @t2027 @t326))) % 3.41/3.69 (define @t2029 () (tptp.hAPP @t1971 @t100)) % 3.41/3.69 (define @t2030 () (tptp.hAPP @t2029 @t638)) % 3.41/3.69 (define @t2031 () (tptp.hAPP @t1984 @t306)) % 3.41/3.69 (define @t2032 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t638) @t306))) % 3.41/3.69 (define @t2033 () (tptp.hBOOL (tptp.hAPP @t510 @t638))) % 3.41/3.69 (define @t2034 () (@list @t306 @t638 @t100 @t101 @t66)) % 3.41/3.69 (define @t2035 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t2031) @t2030))) % 3.41/3.69 (define @t2036 () (tptp.hAPP @t1971 @t87)) % 3.41/3.69 (define @t2037 () (tptp.hAPP @t2036 @t272)) % 3.41/3.69 (define @t2038 () (tptp.hAPP @t2036 @t249)) % 3.41/3.69 (define @t2039 () (=> @t849 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t2038) @t2037)))) % 3.41/3.69 (define @t2040 () (tptp.hBOOL (tptp.hAPP @t843 @t21))) % 3.41/3.69 (define @t2041 () (tptp.hAPP @t434 @t2012)) % 3.41/3.69 (define @t2042 () (tptp.hBOOL (tptp.hAPP @t2041 @t168))) % 3.41/3.69 (define @t2043 () (tptp.class_Fields_Olinordered__field @t10)) % 3.41/3.69 (define @t2044 () (tptp.hBOOL (tptp.hAPP @t787 @t811))) % 3.41/3.69 (define @t2045 () (tptp.hBOOL (tptp.hAPP @t435 @t2012))) % 3.41/3.69 (define @t2046 () (tptp.hAPP @t1805 @t100)) % 3.41/3.69 (define @t2047 () (@list @t101 @t306 @t100 @t66)) % 3.41/3.69 (define @t2048 () (not @t840)) % 3.41/3.69 (define @t2049 () (not @t841)) % 3.41/3.69 (define @t2050 () (tptp.c_Nat__Transfer_Ois__nat @t349)) % 3.41/3.69 (define @t2051 () (tptp.hAPP @t1971 (tptp.hAPP @t1474 @t2046))) % 3.41/3.69 (define @t2052 () (tptp.hAPP @t2051 @t100)) % 3.41/3.69 (define @t2053 () (not (= @t100 @t326))) % 3.41/3.69 (define @t2054 () (tptp.hAPP @t1805 @t101)) % 3.41/3.69 (define @t2055 () (tptp.hAPP @t2029 @t306)) % 3.41/3.69 (define @t2056 () (not (= @t306 @t326))) % 3.41/3.69 (define @t2057 () (@list @t100 @t101 @t306 @t66)) % 3.41/3.69 (define @t2058 () (tptp.hAPP @t274 @t1985)) % 3.41/3.69 (define @t2059 () (tptp.hAPP @t880 @t306)) % 3.41/3.69 (define @t2060 () (tptp.hAPP (tptp.hAPP @t690 @t638) @t100)) % 3.41/3.69 (define @t2061 () (tptp.hAPP (tptp.hAPP @t1971 @t638) @t306)) % 3.41/3.69 (define @t2062 () (@list @t638 @t101 @t306 @t100 @t66)) % 3.41/3.69 (define @t2063 () (= @t1579 @t331)) % 3.41/3.69 (define @t2064 () (=> @t2063 @t332)) % 3.41/3.69 (define @t2065 () (tptp.hAPP @t706 @t1579)) % 3.41/3.69 (define @t2066 () (not @t2063)) % 3.41/3.69 (define @t2067 () (tptp.hAPP @t2011 @t1579)) % 3.41/3.69 (define @t2068 () (and @t2014 @t1580)) % 3.41/3.69 (define @t2069 () (@list @t168 @t580 @t21 @t10)) % 3.41/3.69 (define @t2070 () (=> @t2007 @t2063)) % 3.41/3.69 (define @t2071 () (tptp.hAPP (tptp.hAPP @t704 @t1579) @t20)) % 3.41/3.69 (define @t2072 () (@list @t580 @t20 @t21 @t10)) % 3.41/3.69 (define @t2073 () (@list @t20 @t21 @t580 @t10)) % 3.41/3.69 (define @t2074 () (@list @t580 @t21 @t168 @t10)) % 3.41/3.69 (define @t2075 () (tptp.hAPP @t1983 @t697)) % 3.41/3.69 (define @t2076 () (and @t1986 @t1568)) % 3.41/3.69 (define @t2077 () (and @t2023 @t1568)) % 3.41/3.69 (define @t2078 () (tptp.hBOOL (tptp.hAPP @t1016 @t811))) % 3.41/3.69 (define @t2079 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t811) @t21))) % 3.41/3.69 (define @t2080 () (tptp.hBOOL (tptp.hAPP @t1010 @t2012))) % 3.41/3.69 (define @t2081 () (tptp.hAPP @t964 @t2012)) % 3.41/3.69 (define @t2082 () (tptp.hBOOL (tptp.hAPP @t2081 @t168))) % 3.41/3.69 (define @t2083 () (=> @t849 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2038) @t2037)))) % 3.41/3.69 (define @t2084 () (tptp.hBOOL (tptp.hAPP @t1626 @t331))) % 3.41/3.69 (define @t2085 () (not @t2084)) % 3.41/3.69 (define @t2086 () (tptp.hBOOL (tptp.hAPP @t787 @t2065))) % 3.41/3.69 (define @t2087 () (tptp.hBOOL (tptp.hAPP @t515 @t1579))) % 3.41/3.69 (define @t2088 () (not @t2087)) % 3.41/3.69 (define @t2089 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t2065) @t21))) % 3.41/3.69 (define @t2090 () (and @t1974 @t1580)) % 3.41/3.69 (define @t2091 () (tptp.hBOOL (tptp.hAPP @t787 @t2071))) % 3.41/3.69 (define @t2092 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t2071) @t21))) % 3.41/3.69 (define @t2093 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2065) @t21))) % 3.41/3.69 (define @t2094 () (tptp.hBOOL (tptp.hAPP @t1016 @t2065))) % 3.41/3.69 (define @t2095 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2071) @t21))) % 3.41/3.69 (define @t2096 () (tptp.hBOOL (tptp.hAPP @t1016 @t2071))) % 3.41/3.69 (define @t2097 () (tptp.hAPP @t964 @t1579)) % 3.41/3.69 (define @t2098 () (tptp.hAPP @t1977 @t471)) % 3.41/3.69 (define @t2099 () (tptp.c_Code__Numeral_Onat__of__aux @t471 @t65)) % 3.41/3.69 (define @t2100 () (= @t471 @t1967)) % 3.41/3.69 (define @t2101 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2102 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2103 () (tptp.c_Random_Olog @t272 @t471)) % 3.41/3.69 (define @t2104 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2105 () (tptp.hAPP @t2104 @t471)) % 3.41/3.69 (define @t2106 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2107 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2106 @t272) @t1970)) (tptp.hBOOL (tptp.hAPP @t2105 @t272)))) % 3.41/3.69 (define @t2108 () (@var "B_e" $$unsorted)) % 3.41/3.69 (define @t2109 () (tptp.c_Random_Ominus__shift @t863 @t311 @t485)) % 3.41/3.69 (define @t2110 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2104 @t311) @t485))) % 3.41/3.69 (define @t2111 () (not @t2110)) % 3.41/3.69 (define @t2112 () (tptp.c_Random_Oinc__shift @t905 @t311)) % 3.41/3.69 (define @t2113 () (= @t905 @t311)) % 3.41/3.69 (define @t2114 () (@var "V_code__numeral" $$unsorted)) % 3.41/3.69 (define @t2115 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2114)) % 3.41/3.69 (define @t2116 () (@list @t2114)) % 3.41/3.69 (define @t2117 () (tptp.hAPP (tptp.hAPP @t1977 @t65) @t235)) % 3.41/3.69 (define @t2118 () (@var "V_code__numeral_H_2" $$unsorted)) % 3.41/3.69 (define @t2119 () (@var "V_code__numeral_2" $$unsorted)) % 3.41/3.69 (define @t2120 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2119)) % 3.41/3.69 (define @t2121 () (@var "V_code__numeral_H" $$unsorted)) % 3.41/3.69 (define @t2122 () (@var "V_code__numeral_H_1" $$unsorted)) % 3.41/3.69 (define @t2123 () (tptp.hAPP @t75 @t2119)) % 3.41/3.69 (define @t2124 () (@list @t2119 @t75 @t76 @t10)) % 3.41/3.69 (define @t2125 () (tptp.hAPP @t1892 @t1701)) % 3.41/3.69 (define @t2126 () (tptp.c_Divides_Oadjust @t1701)) % 3.41/3.69 (define @t2127 () (tptp.c_Divides_OnegDivAlg @t686 @t1701)) % 3.41/3.69 (define @t2128 () (tptp.hAPP @t687 @t1701)) % 3.41/3.69 (define @t2129 () (tptp.hBOOL (tptp.hAPP @t901 @t2128))) % 3.41/3.69 (define @t2130 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2131 () (tptp.hAPP @t2130 @t1789)) % 3.41/3.69 (define @t2132 () (tptp.hBOOL (tptp.hAPP @t594 @t1701))) % 3.41/3.69 (define @t2133 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2134 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2133) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2133) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 3.41/3.69 (define @t2135 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2136 () (tptp.hAPP @t2135 (tptp.hAPP @t2134 @t199))) % 3.41/3.69 (define @t2137 () (tptp.hAPP @t2136 tptp.c_Int_Onat)) % 3.41/3.69 (define @t2138 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2139 () (tptp.hAPP (tptp.hAPP @t1397 @t1771) @t1770)) % 3.41/3.69 (define @t2140 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1766) tptp.c_Int_OPls))) % 3.41/3.69 (define @t2141 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2142 () (tptp.c_Divides_Odivmod__nat @t235 @t65)) % 3.41/3.69 (define @t2143 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t199)) % 3.41/3.69 (define @t2144 () (tptp.c_Quickcheck_Obeyond @t311 @t485)) % 3.41/3.69 (define @t2145 () (tptp.hAPP @t2141 @t199)) % 3.41/3.69 (define @t2146 () (tptp.hAPP @t2145 @t235)) % 3.41/3.69 (define @t2147 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t314)) % 3.41/3.69 (define @t2148 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t19)) % 3.41/3.69 (define @t2149 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2150 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2151 () (tptp.hAPP (tptp.hAPP @t2150 @t260) @t2149)) % 3.41/3.69 (define @t2152 () (tptp.hAPP @t1556 @t580)) % 3.41/3.69 (define @t2153 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t2152)) % 3.41/3.69 (define @t2154 () (tptp.hAPP @t1556 @t1924)) % 3.41/3.69 (define @t2155 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t235)) % 3.41/3.69 (define @t2156 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t65)) % 3.41/3.69 (define @t2157 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2158 () (tptp.hAPP (tptp.hAPP @t2141 @t1311) @t1312)) % 3.41/3.69 (define @t2159 () (tptp.c_COMBI @t10)) % 3.41/3.69 (define @t2160 () (tptp.c_COMBS @t10 @t10 @t10)) % 3.41/3.69 (define @t2161 () (tptp.hAPP (tptp.hAPP @t2160 @t704) @t2159)) % 3.41/3.69 (define @t2162 () (tptp.hAPP @t1682 @t583)) % 3.41/3.69 (define @t2163 () (tptp.c_HOL_OLet @t10 @t10)) % 3.41/3.69 (define @t2164 () (tptp.hAPP @t2163 (tptp.hAPP @t2162 @t2152))) % 3.41/3.69 (define @t2165 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2166 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2167 () (tptp.hAPP @t1547 @t583)) % 3.41/3.69 (define @t2168 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t2167 @t2152))) % 3.41/3.69 (define @t2169 () (tptp.hAPP @t1682 @t1625)) % 3.41/3.69 (define @t2170 () (tptp.hAPP @t2163 (tptp.hAPP @t2169 @t2152))) % 3.41/3.69 (define @t2171 () (tptp.hAPP (tptp.hAPP @t1397 @t684) @t1105)) % 3.41/3.69 (define @t2172 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1104))) % 3.41/3.69 (define @t2173 () (tptp.hAPP (tptp.hAPP @t2130 @t1390) @t1246)) % 3.41/3.69 (define @t2174 () (tptp.c_COMBC @t10 @t10 @t10)) % 3.41/3.69 (define @t2175 () (tptp.hAPP @t1892 @t1387)) % 3.41/3.69 (define @t2176 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2177 () (tptp.c_If @t2176)) % 3.41/3.69 (define @t2178 () (tptp.tc_fun @t2176 @t2176)) % 3.41/3.69 (define @t2179 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2176 @t2178) tptp.tc_Int_Oint) @t2177)) % 3.41/3.69 (define @t2180 () (tptp.c_COMBS tptp.tc_Int_Oint @t2176 @t2178)) % 3.41/3.69 (define @t2181 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t2176)) % 3.41/3.69 (define @t2182 () (tptp.hAPP (tptp.hAPP @t2130 @t1387) @t1972)) % 3.41/3.69 (define @t2183 () (tptp.c_Divides_Oadjust @t21)) % 3.41/3.69 (define @t2184 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2185 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2184 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2186 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2187 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2188 () (tptp.hAPP (tptp.hAPP @t2187 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 3.41/3.69 (define @t2189 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2190 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2191 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2192 () (tptp.hAPP @t2191 (tptp.hAPP (tptp.hAPP @t2190 tptp.c_fimplies) @t2188))) % 3.41/3.69 (define @t2193 () (tptp.hAPP @t2190 tptp.c_fconj)) % 3.41/3.69 (define @t2194 () (tptp.hAPP @t2191 (tptp.hAPP @t2193 @t2188))) % 3.41/3.69 (define @t2195 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1815)) % 3.41/3.69 (define @t2196 () (tptp.hBOOL (tptp.hAPP @t2195 (tptp.hAPP @t2194 (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP (tptp.hAPP @t2185 tptp.c_fequal) tptp.c_Int_Onat)) @t19)))))) % 3.41/3.69 (define @t2197 () (@list @t1624 @t19)) % 3.41/3.69 (define @t2198 () (@list @t19 @t1624)) % 3.41/3.69 (define @t2199 () (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2200 () (tptp.hAPP @t2199 @t2)) % 3.41/3.69 (define @t2201 () (tptp.hAPP @t2200 tptp.c_Int_Onat)) % 3.41/3.69 (define @t2202 () (tptp.c_If @t10)) % 3.41/3.69 (define @t2203 () (tptp.tc_fun @t10 @t10)) % 3.41/3.69 (define @t2204 () (tptp.tc_fun @t10 @t2203)) % 3.41/3.69 (define @t2205 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2204 tptp.tc_Int_Oint) @t2202)) % 3.41/3.69 (define @t2206 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t10 @t2203) (tptp.hAPP @t2205 tptp.c_Nat__Numeral_Oneg))) % 3.41/3.69 (define @t2207 () (tptp.c_COMBS tptp.tc_Int_Oint @t10 @t10)) % 3.41/3.69 (define @t2208 () (tptp.hAPP @t2207 (tptp.hAPP @t2206 @t168))) % 3.41/3.69 (define @t2209 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t10)) % 3.41/3.69 (define @t2210 () (tptp.hAPP @t2209 @t1815)) % 3.41/3.69 (define @t2211 () (@list @t1624 @t2 @t168 @t10)) % 3.41/3.69 (define @t2212 () (tptp.c_Nat_Onat_Onat__rec @t10 @t168 @t2)) % 3.41/3.69 (define @t2213 () (tptp.hAPP @t2199 @t2212)) % 3.41/3.69 (define @t2214 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2203 tptp.tc_Int_Oint) @t2)) % 3.41/3.69 (define @t2215 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2216 () (tptp.hAPP @t2215 tptp.c_Nat_OSuc)) % 3.41/3.69 (define @t2217 () (tptp.hAPP @t1556 @t1868)) % 3.41/3.69 (define @t2218 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2219 () (tptp.hAPP @t404 @t48)) % 3.41/3.69 (define @t2220 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2133 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2221 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2222 () (tptp.hAPP (tptp.hAPP @t2221 (tptp.hAPP (tptp.hAPP @t2220 @t260) tptp.c_Int_Onat)) @t19)) % 3.41/3.69 (define @t2223 () (tptp.hAPP (tptp.hAPP @t260 @t1771) @t19)) % 3.41/3.69 (define @t2224 () (@list @t19 @t1624 @t2 @t168 @t10)) % 3.41/3.69 (define @t2225 () (tptp.hAPP @t2162 @t2217)) % 3.41/3.69 (define @t2226 () (tptp.hBOOL (tptp.hAPP @t901 @t1874))) % 3.41/3.69 (define @t2227 () (not @t2226)) % 3.41/3.69 (define @t2228 () (tptp.hAPP @t704 @t583)) % 3.41/3.69 (define @t2229 () (tptp.c_COMBB @t10 @t2203 @t10)) % 3.41/3.69 (define @t2230 () (tptp.hAPP @t2229 @t704)) % 3.41/3.69 (define @t2231 () (tptp.hAPP @t2167 @t2217)) % 3.41/3.69 (define @t2232 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2233 () (tptp.c_COMBB tptp.tc_Int_Oint @t2232 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2234 () (tptp.c_Divides_Oadjust @t272)) % 3.41/3.69 (define @t2235 () (tptp.c_Divides_OnegDivAlg @t249 @t272)) % 3.41/3.69 (define @t2236 () (= @t2235 (tptp.hAPP @t2234 (tptp.c_Divides_OnegDivAlg @t249 @t1903)))) % 3.41/3.69 (define @t2237 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t272) @t575))) % 3.41/3.69 (define @t2238 () (tptp.hBOOL (tptp.hAPP @t901 @t1265))) % 3.41/3.69 (define @t2239 () (or @t2238 @t2237)) % 3.41/3.69 (define @t2240 () (= @t2235 (tptp.hAPP @t2131 @t1265))) % 3.41/3.69 (define @t2241 () (tptp.hAPP @t2169 @t2217)) % 3.41/3.69 (define @t2242 () (tptp.hAPP @t1892 @t1567)) % 3.41/3.69 (define @t2243 () (tptp.c_Divides_Oadjust @t1567)) % 3.41/3.69 (define @t2244 () (tptp.c_Divides_OnegDivAlg @t1701 @t1567)) % 3.41/3.69 (define @t2245 () (tptp.hAPP (tptp.hAPP @t581 @t1701) @t1567)) % 3.41/3.69 (define @t2246 () (tptp.hBOOL (tptp.hAPP @t901 @t2245))) % 3.41/3.69 (define @t2247 () (tptp.hBOOL (tptp.hAPP @t594 @t1567))) % 3.41/3.69 (define @t2248 () (tptp.tc_fun tptp.tc_Int_Oint @t2176)) % 3.41/3.69 (define @t2249 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2248 tptp.tc_Int_Oint) @t2130)) % 3.41/3.69 (define @t2250 () (tptp.c_Nitpick_Onorm__frac @t168 @t21)) % 3.41/3.69 (define @t2251 () (or (= @t168 @t575) (= @t21 @t575))) % 3.41/3.69 (define @t2252 () (tptp.hAPP @t2130 @t575)) % 3.41/3.69 (define @t2253 () (tptp.hAPP @t2252 @t686)) % 3.41/3.69 (define @t2254 () (tptp.hAPP @t677 @t168)) % 3.41/3.69 (define @t2255 () (and (=> @t1339 (= @t2250 (tptp.c_Nitpick_Onorm__frac @t2254 (tptp.hAPP @t677 @t21)))) (=> (not @t1339) (and (=> @t2251 (= @t2250 @t2253)) (=> (not @t2251) (= @t2250 (tptp.hAPP (tptp.hAPP @t2181 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t168) @t21)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t2176) (tptp.hAPP @t2249 @t1332)) (tptp.hAPP @t1285 @t21))))))))) % 3.41/3.69 (define @t2256 () (tptp.c_Divides_OposDivAlg @t686 @t1701)) % 3.41/3.69 (define @t2257 () (tptp.hBOOL (tptp.hAPP @t832 @t1701))) % 3.41/3.69 (define @t2258 () (tptp.c_Divides_OposDivAlg @t249 @t272)) % 3.41/3.69 (define @t2259 () (= @t2258 (tptp.hAPP @t2234 (tptp.c_Divides_OposDivAlg @t249 @t1903)))) % 3.41/3.69 (define @t2260 () (or @t1257 @t2237)) % 3.41/3.69 (define @t2261 () (= @t2258 (tptp.hAPP @t2252 @t249))) % 3.41/3.69 (define @t2262 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2263 () (tptp.hAPP (tptp.hAPP @t2262 @t1392) @t21)) % 3.41/3.69 (define @t2264 () (tptp.hAPP @t2233 @t581)) % 3.41/3.69 (define @t2265 () (tptp.hAPP (tptp.c_COMBB @t2248 (tptp.tc_fun @t2232 @t2248) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t2176 tptp.tc_Int_Oint))) % 3.41/3.69 (define @t2266 () (tptp.c_COMBC tptp.tc_Int_Oint @t2232 @t2248)) % 3.41/3.69 (define @t2267 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2268 () (tptp.tc_fun tptp.tc_Int_Oint @t2178)) % 3.41/3.69 (define @t2269 () (tptp.hAPP (tptp.c_COMBB @t2268 (tptp.tc_fun @t2248 @t2248) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t2176 @t2176))) % 3.41/3.69 (define @t2270 () (tptp.c_COMBS tptp.tc_Int_Oint @t2248 @t2248)) % 3.41/3.69 (define @t2271 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t2176)) % 3.41/3.69 (define @t2272 () (tptp.c_Divides_OposDivAlg @t1701 @t1567)) % 3.41/3.69 (define @t2273 () (tptp.hAPP @t584 @t1701)) % 3.41/3.69 (define @t2274 () (tptp.hBOOL (tptp.hAPP @t2273 @t1567))) % 3.41/3.69 (define @t2275 () (tptp.hAPP @t2252 @t575)) % 3.41/3.69 (define @t2276 () (tptp.hAPP (tptp.hAPP @t2160 @t287) @t2159)) % 3.41/3.69 (define @t2277 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2278 () (tptp.hAPP (tptp.hAPP @t2277 tptp.c_fequal) @t575)) % 3.41/3.69 (define @t2279 () (tptp.tc_fun @t2203 @t10)) % 3.41/3.69 (define @t2280 () (tptp.tc_fun tptp.tc_Int_Oint @t10)) % 3.41/3.69 (define @t2281 () (tptp.tc_fun tptp.tc_Int_Oint @t2203)) % 3.41/3.69 (define @t2282 () (tptp.hAPP @t669 @t316)) % 3.41/3.69 (define @t2283 () (not @t1277)) % 3.41/3.69 (define @t2284 () (tptp.class_Rings_Oring__1 @t10)) % 3.41/3.69 (define @t2285 () (@list @t316 @t10)) % 3.41/3.69 (define @t2286 () (tptp.hAPP @t1307 @t863)) % 3.41/3.69 (define @t2287 () (tptp.hAPP (tptp.hAPP @t2141 @t1142) @t863)) % 3.41/3.69 (define @t2288 () (tptp.c_Divides_Odivmod__nat__rel @t272 @t87)) % 3.41/3.69 (define @t2289 () (@list @t249 @t863 @t1142 @t87 @t272)) % 3.41/3.69 (define @t2290 () (@list @t87 @t863 @t1142 @t272 @t249)) % 3.41/3.69 (define @t2291 () (tptp.hAPP @t1892 @t21)) % 3.41/3.69 (define @t2292 () (tptp.c_Divides_OnegDivAlg @t168 @t21)) % 3.41/3.69 (define @t2293 () (tptp.hBOOL (tptp.hAPP @t1363 @t575))) % 3.41/3.69 (define @t2294 () (tptp.hAPP @t581 @t168)) % 3.41/3.69 (define @t2295 () (tptp.hAPP @t2294 @t21)) % 3.41/3.69 (define @t2296 () (or (tptp.hBOOL (tptp.hAPP @t901 @t2295)) @t2293)) % 3.41/3.69 (define @t2297 () (tptp.hAPP (tptp.hAPP @t2130 @t168) @t21)) % 3.41/3.69 (define @t2298 () (tptp.c_Wellfounded_Oaccp @t2176 tptp.c_Divides_OnegDivAlg__rel)) % 3.41/3.69 (define @t2299 () (tptp.c_Wellfounded_Oaccp @t10 @t1972)) % 3.41/3.69 (define @t2300 () (tptp.hBOOL (tptp.hAPP @t2299 @t168))) % 3.41/3.69 (define @t2301 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1972 @t168) @t21))) % 3.41/3.69 (define @t2302 () (@list @t168 @t1972 @t10)) % 3.41/3.69 (define @t2303 () (@var "V_qr_H" $$unsorted)) % 3.41/3.69 (define @t2304 () (@var "V_qr" $$unsorted)) % 3.41/3.69 (define @t2305 () (tptp.c_Divides_Odivmod__nat__rel @t235 @t65)) % 3.41/3.69 (define @t2306 () (tptp.hBOOL (tptp.hAPP @t2305 @t2304))) % 3.41/3.69 (define @t2307 () (@var "V_R1_2" $$unsorted)) % 3.41/3.69 (define @t2308 () (@var "V_R2_2" $$unsorted)) % 3.41/3.69 (define @t2309 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2310 () (tptp.c_Orderings_Oord__class_Oless__eq @t2309)) % 3.41/3.69 (define @t2311 () (tptp.tc_fun @t10 @t2309)) % 3.41/3.69 (define @t2312 () (tptp.c_Orderings_Oord__class_Oless__eq @t2311)) % 3.41/3.69 (define @t2313 () (@list @t2308 @t2307 @t10)) % 3.41/3.69 (define @t2314 () (tptp.hBOOL (tptp.hAPP @t2305 @t2287))) % 3.41/3.69 (define @t2315 () (@list @t863 @t1142 @t65 @t235)) % 3.41/3.69 (define @t2316 () (@var "V_br" $$unsorted)) % 3.41/3.69 (define @t2317 () (@var "V_ar" $$unsorted)) % 3.41/3.69 (define @t2318 () (tptp.hAPP (tptp.hAPP @t260 @t2317) @t2316)) % 3.41/3.69 (define @t2319 () (@var "V_bq" $$unsorted)) % 3.41/3.69 (define @t2320 () (@var "V_aq" $$unsorted)) % 3.41/3.69 (define @t2321 () (@list @t2316 @t2319 @t272 @t2317 @t2320 @t87 @t249)) % 3.41/3.69 (define @t2322 () (tptp.c_Divides_OposDivAlg @t168 @t21)) % 3.41/3.69 (define @t2323 () (or (tptp.hBOOL (tptp.hAPP @t1331 @t21)) @t2293)) % 3.41/3.69 (define @t2324 () (tptp.c_Wellfounded_Oaccp @t2176 tptp.c_Divides_OposDivAlg__rel)) % 3.41/3.69 (define @t2325 () (tptp.c_Wellfounded_Oaccp @t2176 tptp.c_Nitpick_Onorm__frac__rel)) % 3.41/3.69 (define @t2326 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2327 () (tptp.tc_fun tptp.tc_Int_Oint @t2326)) % 3.41/3.69 (define @t2328 () (tptp.c_COMBB @t2326 @t2326 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2329 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2330 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t1229 @t1228))) % 3.41/3.69 (define @t2331 () (tptp.c_Divides_Odivmod__int @t249 @t272)) % 3.41/3.69 (define @t2332 () (not @t1242)) % 3.41/3.69 (define @t2333 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1229 @t1228))) % 3.41/3.69 (define @t2334 () (tptp.hBOOL (tptp.hAPP @t901 @t272))) % 3.41/3.69 (define @t2335 () (@var "V_a0_2" $$unsorted)) % 3.41/3.69 (define @t2336 () (tptp.hAPP (tptp.hAPP @t55 @t2335) @t33)) % 3.41/3.69 (define @t2337 () (tptp.hBOOL @t2336)) % 3.41/3.69 (define @t2338 () (@var "B_b" $$unsorted)) % 3.41/3.69 (define @t2339 () (tptp.hAPP @t55 @t402)) % 3.41/3.69 (define @t2340 () (tptp.hBOOL (tptp.hAPP @t2339 @t2338))) % 3.41/3.69 (define @t2341 () (tptp.hBOOL (tptp.hAPP @t2339 (tptp.hAPP @t1892 @t2338)))) % 3.41/3.69 (define @t2342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t2338) @t575))) % 3.41/3.69 (define @t2343 () (tptp.hAPP (tptp.hAPP @t2130 @t402) @t2338)) % 3.41/3.69 (define @t2344 () (@list @t402 @t2338)) % 3.41/3.69 (define @t2345 () (tptp.hAPP (tptp.hAPP @t2130 @t2335) @t33)) % 3.41/3.69 (define @t2346 () (@list @t55 @t33 @t2335)) % 3.41/3.69 (define @t2347 () (tptp.hAPP @t2130 @t1142)) % 3.41/3.69 (define @t2348 () (tptp.hAPP @t2347 @t863)) % 3.41/3.69 (define @t2349 () (tptp.c_Product__Type_OPair @t10 @t92)) % 3.41/3.69 (define @t2350 () (tptp.hAPP @t2349 @t168)) % 3.41/3.69 (define @t2351 () (tptp.hAPP @t2350 @t21)) % 3.41/3.69 (define @t2352 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2353 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2352 @t2) @t2351))) % 3.41/3.69 (define @t2354 () (tptp.hAPP @t2 @t168)) % 3.41/3.69 (define @t2355 () (tptp.hAPP @t2354 @t21)) % 3.41/3.69 (define @t2356 () (tptp.hBOOL @t2355)) % 3.41/3.69 (define @t2357 () (tptp.c_Nitpick_Onat__gcd @t349 @t610)) % 3.41/3.69 (define @t2358 () (= @t610 @t199)) % 3.41/3.69 (define @t2359 () (tptp.hAPP (tptp.hAPP @t2141 @t349) @t610)) % 3.41/3.69 (define @t2360 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2361 () (tptp.c_Wellfounded_Oaccp @t2360 tptp.c_Nitpick_Onat__gcd__rel)) % 3.41/3.69 (define @t2362 () (tptp.c_Divides_Opdivmod @t316 @t1477)) % 3.41/3.69 (define @t2363 () (tptp.hAPP (tptp.hAPP @t2271 (tptp.hAPP (tptp.hAPP @t2270 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2176 @t2268 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2176 @t2178) (tptp.hAPP @t2179 @t2278))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2176) (tptp.hAPP @t2249 @t677)) @t575)))) (tptp.hAPP (tptp.hAPP @t2266 (tptp.hAPP @t2265 (tptp.hAPP @t2249 (tptp.hAPP (tptp.hAPP @t2262 (tptp.hAPP (tptp.hAPP @t2233 @t1392) @t677)) @t686)))) (tptp.hAPP @t1392 (tptp.hAPP @t1550 @t1477))))) @t2362)) % 3.41/3.69 (define @t2364 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1477)) % 3.41/3.69 (define @t2365 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t674 @t2364))) % 3.41/3.69 (define @t2366 () (tptp.c_Divides_Odivmod__int @t316 @t1477)) % 3.41/3.69 (define @t2367 () (= @t1477 @t575)) % 3.41/3.69 (define @t2368 () (not @t2367)) % 3.41/3.69 (define @t2369 () (=> @t2367 (= @t2366 (tptp.hAPP @t2252 @t316)))) % 3.41/3.69 (define @t2370 () (=> @t1277 (= @t2366 @t2275))) % 3.41/3.69 (define @t2371 () (tptp.hAPP @t2 @t610)) % 3.41/3.69 (define @t2372 () (tptp.hAPP @t2349 @t349)) % 3.41/3.69 (define @t2373 () (tptp.c_Product__Type_OPair @t10 @t530)) % 3.41/3.69 (define @t2374 () (tptp.hAPP (tptp.hAPP @t2373 @t349) @t610)) % 3.41/3.69 (define @t2375 () (tptp.c_Product__Type_Oapsnd @t530 @t92 @t10 @t2)) % 3.41/3.69 (define @t2376 () (tptp.hAPP (tptp.hAPP @t2349 @t402) @t2338)) % 3.41/3.69 (define @t2377 () (tptp.hAPP (tptp.hAPP @t2349 @t378) @t430)) % 3.41/3.69 (define @t2378 () (tptp.c_Product__Type_OPair @t66 @t10)) % 3.41/3.69 (define @t2379 () (tptp.hAPP (tptp.hAPP @t2378 @t249) @t272)) % 3.41/3.69 (define @t2380 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t530)) % 3.41/3.69 (define @t2381 () (tptp.hAPP @t2380 @t20)) % 3.41/3.69 (define @t2382 () (tptp.c_Product__Type_OPair @t92 @t530)) % 3.41/3.69 (define @t2383 () (tptp.hAPP (tptp.hAPP @t2382 @t168) @t21)) % 3.41/3.69 (define @t2384 () (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t530 @t10)) % 3.41/3.69 (define @t2385 () (tptp.hAPP @t2384 @t2)) % 3.41/3.69 (define @t2386 () (@list @t21 @t168 @t2 @t10 @t530 @t92)) % 3.41/3.69 (define @t2387 () (@list @t21 @t168 @t2 @t92 @t10)) % 3.41/3.69 (define @t2388 () (tptp.tc_prod @t10 @t92)) % 3.41/3.69 (define @t2389 () (tptp.tc_fun @t92 @t530)) % 3.41/3.69 (define @t2390 () (tptp.tc_fun @t92 @t2388)) % 3.41/3.69 (define @t2391 () (@list @t2 @t530 @t92 @t10)) % 3.41/3.69 (define @t2392 () (@var "T_f" $$unsorted)) % 3.41/3.69 (define @t2393 () (tptp.tc_prod @t92 @t530)) % 3.41/3.69 (define @t2394 () (@var "T_e" $$unsorted)) % 3.41/3.69 (define @t2395 () (tptp.hAPP @t1550 @t485)) % 3.41/3.69 (define @t2396 () (tptp.hAPP @t1550 @t311)) % 3.41/3.69 (define @t2397 () (tptp.c_Divides_Opdivmod @t311 @t485)) % 3.41/3.69 (define @t2398 () (= @t485 @t575)) % 3.41/3.69 (define @t2399 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t65 @t235)) % 3.41/3.69 (define @t2400 () (tptp.hAPP (tptp.hAPP @t1964 @t65) @t235)) % 3.41/3.69 (define @t2401 () (tptp.c_Divides_Odivmod__int__rel @t249 @t272)) % 3.41/3.69 (define @t2402 () (tptp.hBOOL (tptp.hAPP @t2401 @t2348))) % 3.41/3.69 (define @t2403 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t893 @t1704))) % 3.41/3.69 (define @t2404 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2405 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t686 @t1701)) % 3.41/3.69 (define @t2406 () (tptp.hBOOL (tptp.hAPP @t2273 @t575))) % 3.41/3.69 (define @t2407 () (tptp.hAPP @t2191 (tptp.hAPP @t2193 @t901))) % 3.41/3.69 (define @t2408 () (tptp.hAPP tptp.c_fequal @t168)) % 3.41/3.69 (define @t2409 () (tptp.tc_fun tptp.tc_Int_Oint @t2189)) % 3.41/3.69 (define @t2410 () (tptp.tc_fun @t2326 @t2326)) % 3.41/3.69 (define @t2411 () (tptp.c_Divides_Odivmod__int__rel @t168 @t21)) % 3.41/3.69 (define @t2412 () (@var "V_R_2" $$unsorted)) % 3.41/3.69 (define @t2413 () (tptp.tc_fun @t530 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2414 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t2413)) % 3.41/3.69 (define @t2415 () (tptp.c_Product__Type_OPair @t10 @t66)) % 3.41/3.69 (define @t2416 () (tptp.c_Product__Type_Osnd @t10 @t66)) % 3.41/3.69 (define @t2417 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t10 @t530) @t349)) % 3.41/3.69 (define @t2418 () (tptp.hAPP @t2375 @t349)) % 3.41/3.69 (define @t2419 () (tptp.c_Product__Type_Osnd @t92 @t530)) % 3.41/3.69 (define @t2420 () (tptp.hAPP @t2419 @t349)) % 3.41/3.69 (define @t2421 () (tptp.c_Product__Type_Osnd @t92 @t10)) % 3.41/3.69 (define @t2422 () (tptp.hAPP @t2421 @t1553)) % 3.41/3.69 (define @t2423 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t249 @t249) @t2348))) % 3.41/3.69 (define @t2424 () (@list @t863 @t1142 @t249)) % 3.41/3.69 (define @t2425 () (tptp.hBOOL (tptp.hAPP @t2401 (tptp.hAPP (tptp.hAPP @t2130 @t1151) @t1153)))) % 3.41/3.69 (define @t2426 () (@list @t1153 @t1151 @t863 @t1142 @t272 @t249)) % 3.41/3.69 (define @t2427 () (@list @t863 @t1142 @t272 @t249)) % 3.41/3.69 (define @t2428 () (tptp.hAPP (tptp.hAPP @t581 @t2317) @t2316)) % 3.41/3.69 (define @t2429 () (not (= @t87 @t575))) % 3.41/3.69 (define @t2430 () (tptp.c_Divides_Odivmod__int__rel @t272 @t87)) % 3.41/3.69 (define @t2431 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t1972) @t575))) % 3.41/3.69 (define @t2432 () (tptp.hAPP @t677 @t1387)) % 3.41/3.69 (define @t2433 () (tptp.tc_fun tptp.tc_Nat_Onat @t2360)) % 3.41/3.69 (define @t2434 () (tptp.c_Divides_Odivmod__nat @t314 @t19)) % 3.41/3.69 (define @t2435 () (or @t338 @t421)) % 3.41/3.69 (define @t2436 () (tptp.hAPP @t1145 @t863)) % 3.41/3.69 (define @t2437 () (= @t1261 @t1419)) % 3.41/3.69 (define @t2438 () (tptp.hAPP @t2310 @t1419)) % 3.41/3.69 (define @t2439 () (tptp.hBOOL (tptp.hAPP @t2438 @t1261))) % 3.41/3.69 (define @t2440 () (tptp.hAPP @t2310 @t1261)) % 3.41/3.69 (define @t2441 () (tptp.hBOOL (tptp.hAPP @t2440 @t1419))) % 3.41/3.69 (define @t2442 () (@list @t1419 @t1261 @t10)) % 3.41/3.69 (define @t2443 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2444 () (tptp.hAPP @t1725 @t1701)) % 3.41/3.69 (define @t2445 () (tptp.hAPP @t55 @t267)) % 3.41/3.69 (define @t2446 () (tptp.hAPP (tptp.hAPP @t2141 @t4) @t267)) % 3.41/3.69 (define @t2447 () (@list @t4 @t267)) % 3.41/3.69 (define @t2448 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2449 () (tptp.hAPP @t2448 @t19)) % 3.41/3.69 (define @t2450 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2451 () (tptp.hAPP @t2450 tptp.c_Nat_OSuc)) % 3.41/3.69 (define @t2452 () (tptp.hAPP @t2138 @t1815)) % 3.41/3.69 (define @t2453 () (tptp.hAPP @t2448 @t48)) % 3.41/3.69 (define @t2454 () (tptp.hAPP @t2448 @t65)) % 3.41/3.69 (define @t2455 () (tptp.hAPP (tptp.hAPP @t2448 @t235) @t65)) % 3.41/3.69 (define @t2456 () (tptp.hBOOL (tptp.hAPP @t965 @t583))) % 3.41/3.69 (define @t2457 () (tptp.hBOOL (tptp.hAPP @t967 @t583))) % 3.41/3.69 (define @t2458 () (tptp.c_Orderings_Oord__class_Omin @t10)) % 3.41/3.69 (define @t2459 () (tptp.hAPP @t2458 @t349)) % 3.41/3.69 (define @t2460 () (tptp.hAPP @t2459 @t610)) % 3.41/3.69 (define @t2461 () (@list @t583 @t610 @t349 @t10)) % 3.41/3.69 (define @t2462 () (tptp.c_Orderings_Oord__class_Omin @t66)) % 3.41/3.69 (define @t2463 () (tptp.hAPP @t2462 @t101)) % 3.41/3.69 (define @t2464 () (tptp.hAPP @t2463 @t100)) % 3.41/3.69 (define @t2465 () (tptp.hAPP @t908 @t2464)) % 3.41/3.69 (define @t2466 () (and @t968 @t2457)) % 3.41/3.69 (define @t2467 () (tptp.hAPP @t2462 @t249)) % 3.41/3.69 (define @t2468 () (tptp.hAPP @t2467 @t272)) % 3.41/3.69 (define @t2469 () (tptp.hAPP @t908 @t2468)) % 3.41/3.69 (define @t2470 () (tptp.hBOOL (tptp.hAPP @t2469 @t101))) % 3.41/3.69 (define @t2471 () (tptp.hBOOL (tptp.hAPP @t971 @t101))) % 3.41/3.69 (define @t2472 () (@list @t272 @t101 @t249 @t66)) % 3.41/3.69 (define @t2473 () (tptp.hBOOL (tptp.hAPP @t973 @t101))) % 3.41/3.69 (define @t2474 () (@list @t249 @t101 @t272 @t66)) % 3.41/3.69 (define @t2475 () (tptp.hBOOL (tptp.hAPP @t914 @t2468))) % 3.41/3.69 (define @t2476 () (tptp.hBOOL (tptp.hAPP @t914 @t272))) % 3.41/3.69 (define @t2477 () (@list @t272 @t249 @t101 @t66)) % 3.41/3.69 (define @t2478 () (tptp.hAPP @t2462 @t100)) % 3.41/3.69 (define @t2479 () (tptp.hAPP @t2478 @t306)) % 3.41/3.69 (define @t2480 () (tptp.hBOOL (tptp.hAPP @t973 @t370))) % 3.41/3.69 (define @t2481 () (not (=> @t1137 (not @t2476)))) % 3.41/3.69 (define @t2482 () (tptp.hAPP (tptp.hAPP @t1418 @t100) @t306)) % 3.41/3.69 (define @t2483 () (tptp.hAPP @t1475 @t306)) % 3.41/3.69 (define @t2484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t2468) @t101))) % 3.41/3.69 (define @t2485 () (tptp.hBOOL (tptp.hAPP @t445 @t101))) % 3.41/3.69 (define @t2486 () (tptp.hBOOL (tptp.hAPP @t504 @t101))) % 3.41/3.69 (define @t2487 () (tptp.hBOOL (tptp.hAPP @t616 @t583))) % 3.41/3.69 (define @t2488 () (tptp.hBOOL (tptp.hAPP @t618 @t583))) % 3.41/3.69 (define @t2489 () (tptp.hAPP @t434 @t583)) % 3.41/3.69 (define @t2490 () (tptp.hBOOL (tptp.hAPP @t2489 @t610))) % 3.41/3.69 (define @t2491 () (tptp.hBOOL (tptp.hAPP @t2489 @t349))) % 3.41/3.69 (define @t2492 () (@list @t610 @t349 @t583 @t10)) % 3.41/3.69 (define @t2493 () (tptp.hAPP @t1474 @t306)) % 3.41/3.69 (define @t2494 () (tptp.hAPP @t2463 @t2479)) % 3.41/3.69 (define @t2495 () (tptp.hAPP @t2462 @t272)) % 3.41/3.69 (define @t2496 () (tptp.hAPP @t2467 (tptp.hAPP @t2495 @t87))) % 3.41/3.69 (define @t2497 () (tptp.hAPP @t2463 @t306)) % 3.41/3.69 (define @t2498 () (tptp.hAPP @t2478 @t101)) % 3.41/3.69 (define @t2499 () (tptp.hAPP (tptp.hAPP @t2378 @t101) @t100)) % 3.41/3.69 (define @t2500 () (tptp.c_Product__Type_Ofst @t66 @t10)) % 3.41/3.69 (define @t2501 () (tptp.c_Product__Type_Osnd @t66 @t10)) % 3.41/3.69 (define @t2502 () (tptp.hAPP @t2501 @t1598)) % 3.41/3.69 (define @t2503 () (tptp.hAPP @t2500 @t1598)) % 3.41/3.69 (define @t2504 () (tptp.c_Product__Type_Osnd @t10 @t92)) % 3.41/3.69 (define @t2505 () (tptp.c_Product__Type_Ofst @t10 @t92)) % 3.41/3.69 (define @t2506 () (= @t18 @t62)) % 3.41/3.69 (define @t2507 () (@list @t349 @t2 @t530 @t92 @t10)) % 3.41/3.69 (define @t2508 () (tptp.c_COMBK @t10 @t92)) % 3.41/3.69 (define @t2509 () (tptp.hAPP @t2505 @t1553)) % 3.41/3.69 (define @t2510 () (tptp.hAPP @t1573 @t231)) % 3.41/3.69 (define @t2511 () (tptp.hAPP (tptp.hAPP @t2458 @t2510) @t1628)) % 3.41/3.69 (define @t2512 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2510) @t1628))) % 3.41/3.69 (define @t2513 () (not @t2512)) % 3.41/3.69 (define @t2514 () (tptp.class_Orderings_Oord @t10)) % 3.41/3.69 (define @t2515 () (and @t1580 @t2514)) % 3.41/3.69 (define @t2516 () (@list @t905 @t231 @t10)) % 3.41/3.69 (define @t2517 () (tptp.hAPP @t2419 @t1553)) % 3.41/3.69 (define @t2518 () (tptp.c_Product__Type_Ofst @t92 @t530)) % 3.41/3.69 (define @t2519 () (tptp.hAPP @t2518 @t1553)) % 3.41/3.69 (define @t2520 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2521 () (@var "V_C_2" $$unsorted)) % 3.41/3.69 (define @t2522 () (tptp.c_Groups_Ominus__class_Ominus @t2309)) % 3.41/3.69 (define @t2523 () (tptp.hAPP @t2522 @t2521)) % 3.41/3.69 (define @t2524 () (tptp.hAPP @t2522 @t1419)) % 3.41/3.69 (define @t2525 () (tptp.hBOOL (tptp.hAPP @t2438 @t2521))) % 3.41/3.69 (define @t2526 () (@list @t2521 @t1419 @t1261 @t10)) % 3.41/3.69 (define @t2527 () (@var "V_D_2" $$unsorted)) % 3.41/3.69 (define @t2528 () (tptp.hAPP @t2522 @t1261)) % 3.41/3.69 (define @t2529 () (tptp.hAPP @t2528 @t1419)) % 3.41/3.69 (define @t2530 () (tptp.hAPP @t2310 @t2529)) % 3.41/3.69 (define @t2531 () (tptp.hBOOL (tptp.hAPP @t2440 @t2521))) % 3.41/3.69 (define @t2532 () (tptp.c_Groups_Ouminus__class_Ouminus @t2309)) % 3.41/3.69 (define @t2533 () (tptp.hAPP @t2532 @t1261)) % 3.41/3.69 (define @t2534 () (tptp.hAPP @t2532 @t1419)) % 3.41/3.69 (define @t2535 () (@list @t10 @t1419 @t1261)) % 3.41/3.69 (define @t2536 () (@list @t1261 @t10)) % 3.41/3.69 (define @t2537 () (tptp.c_Orderings_Oord__class_Oless @t2309)) % 3.41/3.69 (define @t2538 () (tptp.hAPP @t2537 @t1261)) % 3.41/3.69 (define @t2539 () (tptp.hBOOL (tptp.hAPP @t2538 @t2521))) % 3.41/3.69 (define @t2540 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2537 @t1419) @t2521)) @t2539)) % 3.41/3.69 (define @t2541 () (tptp.hBOOL (tptp.hAPP @t2538 @t1419))) % 3.41/3.69 (define @t2542 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2543 () (tptp.hAPP @t2504 @t1553)) % 3.41/3.69 (define @t2544 () (tptp.hAPP (tptp.hAPP @t2349 @t1553) @t1387)) % 3.41/3.69 (define @t2545 () (tptp.c_Product__Type_OPair @t92 @t10)) % 3.41/3.69 (define @t2546 () (tptp.hAPP @t2545 @t349)) % 3.41/3.69 (define @t2547 () (tptp.hAPP @t2546 @t610)) % 3.41/3.69 (define @t2548 () (tptp.c_Product__Type_Ofst @t92 @t10)) % 3.41/3.69 (define @t2549 () (tptp.hAPP @t55 @t610)) % 3.41/3.69 (define @t2550 () (tptp.hAPP @t2522 @t2529)) % 3.41/3.69 (define @t2551 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2552 () (@var "V_qr_2" $$unsorted)) % 3.41/3.69 (define @t2553 () (tptp.hAPP @t2520 @t2552)) % 3.41/3.69 (define @t2554 () (tptp.hAPP @t2551 @t2552)) % 3.41/3.69 (define @t2555 () (tptp.c_Divides_Odivmod__nat__rel @t314 @t19)) % 3.41/3.69 (define @t2556 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 3.41/3.69 (define @t2557 () (tptp.hAPP @t2104 @t1967)) % 3.41/3.69 (define @t2558 () (@var "V_xq_2" $$unsorted)) % 3.41/3.69 (define @t2559 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2560 () (tptp.hAPP @t2559 @t19)) % 3.41/3.69 (define @t2561 () (tptp.hAPP @t2135 (tptp.hAPP @t2134 @t48))) % 3.41/3.69 (define @t2562 () (tptp.hAPP @t2559 @t48)) % 3.41/3.69 (define @t2563 () (tptp.c_Product__Type_Osnd @t2394 @t530)) % 3.41/3.69 (define @t2564 () (tptp.c_Product__Type_Oapfst @t2394 @t10 @t530 @t1)) % 3.41/3.69 (define @t2565 () (@list @t349 @t1 @t2394 @t2 @t10 @t92 @t530)) % 3.41/3.69 (define @t2566 () (tptp.c_Orderings_Oord__class_Omax @t66)) % 3.41/3.69 (define @t2567 () (tptp.hAPP @t2566 @t101)) % 3.41/3.69 (define @t2568 () (tptp.hAPP @t2567 @t100)) % 3.41/3.69 (define @t2569 () (tptp.c_Orderings_Oord__class_Omax @t10)) % 3.41/3.69 (define @t2570 () (tptp.hAPP @t2569 @t349)) % 3.41/3.69 (define @t2571 () (tptp.hAPP @t2570 @t610)) % 3.41/3.69 (define @t2572 () (tptp.hAPP @t2566 @t249)) % 3.41/3.69 (define @t2573 () (tptp.hAPP @t2572 @t272)) % 3.41/3.69 (define @t2574 () (tptp.hBOOL (tptp.hAPP @t550 @t2573))) % 3.41/3.69 (define @t2575 () (tptp.hBOOL (tptp.hAPP @t550 @t272))) % 3.41/3.69 (define @t2576 () (@list @t249 @t272 @t101 @t66)) % 3.41/3.69 (define @t2577 () (tptp.hAPP @t2567 @t306)) % 3.41/3.69 (define @t2578 () (tptp.hAPP (tptp.hAPP @t2462 @t2568) @t2577)) % 3.41/3.69 (define @t2579 () (tptp.hAPP @t2567 @t2479)) % 3.41/3.69 (define @t2580 () (tptp.hAPP (tptp.hAPP @t2566 @t2464) @t2497)) % 3.41/3.69 (define @t2581 () (tptp.hAPP @t2566 @t100)) % 3.41/3.69 (define @t2582 () (tptp.hAPP @t2581 @t306)) % 3.41/3.69 (define @t2583 () (tptp.hAPP @t2463 @t2582)) % 3.41/3.69 (define @t2584 () (tptp.hAPP @t2581 @t101)) % 3.41/3.69 (define @t2585 () (tptp.hAPP @t2559 @t65)) % 3.41/3.69 (define @t2586 () (tptp.hAPP @t964 @t583)) % 3.41/3.69 (define @t2587 () (and @t2457 @t2456)) % 3.41/3.69 (define @t2588 () (tptp.hBOOL (tptp.hAPP @t914 @t2573))) % 3.41/3.69 (define @t2589 () (tptp.hAPP @t908 @t2573)) % 3.41/3.69 (define @t2590 () (tptp.hBOOL (tptp.hAPP @t2589 @t101))) % 3.41/3.69 (define @t2591 () (not (=> @t2471 (not @t2473)))) % 3.41/3.69 (define @t2592 () (@list @t101 @t272 @t249 @t66)) % 3.41/3.69 (define @t2593 () (tptp.hAPP @t2567 @t2582)) % 3.41/3.69 (define @t2594 () (tptp.hAPP @t2566 @t272)) % 3.41/3.69 (define @t2595 () (tptp.hAPP @t2572 (tptp.hAPP @t2594 @t87))) % 3.41/3.69 (define @t2596 () (tptp.c_Product__Type_OPair @t530 @t92)) % 3.41/3.69 (define @t2597 () (tptp.c_Product__Type_Oapfst @t530 @t10 @t92 @t2)) % 3.41/3.69 (define @t2598 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t530 @t92) @t349)) % 3.41/3.69 (define @t2599 () (tptp.hAPP @t2 @t2598)) % 3.41/3.69 (define @t2600 () (tptp.hAPP @t2597 @t349)) % 3.41/3.69 (define @t2601 () (tptp.hAPP (tptp.hAPP @t2569 @t2510) @t1628)) % 3.41/3.69 (define @t2602 () (tptp.class_Groups_Olinordered__ab__group__add @t66)) % 3.41/3.69 (define @t2603 () (tptp.c_Product__Type_Osnd @t530 @t2394)) % 3.41/3.69 (define @t2604 () (tptp.hAPP @t1 (tptp.hAPP @t2603 @t349))) % 3.41/3.69 (define @t2605 () (tptp.c_Product__Type_Ofst @t530 @t2394)) % 3.41/3.69 (define @t2606 () (tptp.hAPP @t2 (tptp.hAPP @t2605 @t349))) % 3.41/3.69 (define @t2607 () (@list @t349 @t1 @t2394 @t2 @t92 @t10 @t530)) % 3.41/3.69 (define @t2608 () (tptp.c_COMBC @t10 @t10 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2609 () (tptp.hAPP @t2608 @t964)) % 3.41/3.69 (define @t2610 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t311)) % 3.41/3.69 (define @t2611 () (@var "V_seed_2" $$unsorted)) % 3.41/3.69 (define @t2612 () (@var "V_size_2" $$unsorted)) % 3.41/3.69 (define @t2613 () (@var "V_nrandom_2" $$unsorted)) % 3.41/3.69 (define @t2614 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2412 @t2613) @t2612) @t2611)) % 3.41/3.69 (define @t2615 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t349)) % 3.41/3.69 (define @t2616 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t314)) % 3.41/3.69 (define @t2617 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t19)) % 3.41/3.69 (define @t2618 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t471)) % 3.41/3.69 (define @t2619 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t235)) % 3.41/3.69 (define @t2620 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t65)) % 3.41/3.69 (define @t2621 () (tptp.c_Nitpick_Ofrac @t66)) % 3.41/3.69 (define @t2622 () (tptp.tc_sum @t10 @t92)) % 3.41/3.69 (define @t2623 () (@list @t2 @t92 @t530 @t10)) % 3.41/3.69 (define @t2624 () (tptp.hAPP (tptp.hAPP @t1977 @t316) @t1970)) % 3.41/3.69 (define @t2625 () (tptp.tc_prod @t92 @t10)) % 3.41/3.69 (define @t2626 () (tptp.hAPP (tptp.c_Random_Oiterate @t92 @t10 @t316 @t2) @t349)) % 3.41/3.69 (define @t2627 () (= @t316 @t1967)) % 3.41/3.69 (define @t2628 () (not @t2627)) % 3.41/3.69 (define @t2629 () (@list @t349 @t2 @t10 @t92 @t316)) % 3.41/3.69 (define @t2630 () (@var "T_g" $$unsorted)) % 3.41/3.69 (define @t2631 () (tptp.tc_fun @t2630 @t92)) % 3.41/3.69 (define @t2632 () (tptp.tc_fun @t2394 @t92)) % 3.41/3.69 (define @t2633 () (tptp.tc_fun @t530 @t2632)) % 3.41/3.69 (define @t2634 () (tptp.tc_prod @t530 @t2394)) % 3.41/3.69 (define @t2635 () (@var "V_g2_2" $$unsorted)) % 3.41/3.69 (define @t2636 () (@var "V_g1_2" $$unsorted)) % 3.41/3.69 (define @t2637 () (tptp.c_Sum__Type_Osum_Osum__case @t10 @t530 @t92 @t2 @t1)) % 3.41/3.69 (define @t2638 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t92 @t530 @t2394 @t10) @t2) @t1) @t349)) % 3.41/3.69 (define @t2639 () (@list @t349 @t1 @t2 @t10 @t2394 @t530 @t92)) % 3.41/3.69 (define @t2640 () (tptp.c_Sum__Type_Osum_Osum__case @t92 @t10 @t530 @t76 @t75)) % 3.41/3.69 (define @t2641 () (tptp.c_Nitpick_Odenom @t10)) % 3.41/3.69 (define @t2642 () (tptp.hAPP @t2641 @t1972)) % 3.41/3.69 (define @t2643 () (tptp.hAPP @t2262 @t1285)) % 3.41/3.69 (define @t2644 () (tptp.c_Nitpick_Onum @t10)) % 3.41/3.69 (define @t2645 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2646 () (tptp.hAPP @t2641 @t1387)) % 3.41/3.69 (define @t2647 () (@list @t1972 @t1387 @t10)) % 3.41/3.69 (define @t2648 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t10)) % 3.41/3.69 (define @t2649 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2648) @t2) @t143)) % 3.41/3.69 (define @t2650 () (tptp.hAPP @t349 (tptp.hAPP (tptp.hAPP @t1977 @t143) @t1970))) % 3.41/3.69 (define @t2651 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t92 @t10 @t349 @t2) @t143)) % 3.41/3.69 (define @t2652 () (= @t143 @t1967)) % 3.41/3.69 (define @t2653 () (not @t2652)) % 3.41/3.69 (define @t2654 () (@list @t2 @t349 @t10 @t92 @t143)) % 3.41/3.69 (define @t2655 () (tptp.tc_Option_Ooption @t10)) % 3.41/3.69 (define @t2656 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2655)) % 3.41/3.69 (define @t2657 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2656) @t2) @t143)) % 3.41/3.69 (define @t2658 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t92 @t10 @t349 @t2) @t143)) % 3.41/3.69 (define @t2659 () (tptp.hAPP (tptp.hAPP @t20 @t168) @t21)) % 3.41/3.69 (define @t2660 () (tptp.c_Nitpick_Odenom @t66)) % 3.41/3.69 (define @t2661 () (tptp.hAPP @t2660 @t1142)) % 3.41/3.69 (define @t2662 () (tptp.c_Nitpick_Onum @t66)) % 3.41/3.69 (define @t2663 () (tptp.hAPP @t2662 @t1142)) % 3.41/3.69 (define @t2664 () (@list @t1142 @t66)) % 3.41/3.69 (define @t2665 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2648)) % 3.41/3.69 (define @t2666 () (tptp.tc_fun @t2556 @t2665)) % 3.41/3.69 (define @t2667 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2666)) % 3.41/3.69 (define @t2668 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t2556 @t2665) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2666) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2667) @t2) @t2613)) @t2612)) @t2611)) % 3.41/3.69 (define @t2669 () (@list @t2611 @t2612 @t2613 @t2 @t2412 @t10 @t92)) % 3.41/3.69 (define @t2670 () (tptp.hAPP @t2644 (tptp.c_Nitpick_Oplus__frac @t10 @t1387 (tptp.c_Nitpick_Ouminus__frac @t10 @t1972)))) % 3.41/3.69 (define @t2671 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2656)) % 3.41/3.69 (define @t2672 () (tptp.tc_fun @t2556 @t2671)) % 3.41/3.69 (define @t2673 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2672)) % 3.41/3.69 (define @t2674 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t2556 @t2671) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2672) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 tptp.tc_Code__Numeral_Ocode__numeral @t2673) @t2) @t2613)) @t2612)) @t2611)) % 3.41/3.69 (define @t2675 () (tptp.hAPP @t349 @t143)) % 3.41/3.69 (define @t2676 () (@list @t143 @t2 @t349 @t10 @t92)) % 3.41/3.69 (define @t2677 () (@var "V_i_1" $$unsorted)) % 3.41/3.69 (define @t2678 () (tptp.hAPP @t51 @t349)) % 3.41/3.69 (define @t2679 () (tptp.hBOOL (tptp.hAPP @t2678 @t610))) % 3.41/3.69 (define @t2680 () (tptp.hAPP @t55 @t349)) % 3.41/3.69 (define @t2681 () (tptp.hBOOL (tptp.hAPP @t2680 @t610))) % 3.41/3.69 (define @t2682 () (tptp.tc_fun @t92 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2683 () (tptp.tc_fun @t10 @t2682)) % 3.41/3.69 (define @t2684 () (tptp.c_Orderings_Oord__class_Oless__eq @t2683)) % 3.41/3.69 (define @t2685 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2684 @t55) @t51))) % 3.41/3.69 (define @t2686 () (tptp.hBOOL @t2678)) % 3.41/3.69 (define @t2687 () (tptp.hBOOL @t2680)) % 3.41/3.69 (define @t2688 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t55) @t51))) % 3.41/3.69 (define @t2689 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2388 @t92 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2682 @t2388) @t55) @t2505)) @t2504)) % 3.41/3.69 (define @t2690 () (tptp.hAPP @t2352 @t55)) % 3.41/3.69 (define @t2691 () (@list @t55 @t92 @t10)) % 3.41/3.69 (define @t2692 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 3.41/3.69 (define @t2693 () (tptp.c_DSequence_Osingle @t10)) % 3.41/3.69 (define @t2694 () (tptp.tc_prod @t10 @t2692)) % 3.41/3.69 (define @t2695 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t2648)))) % 3.41/3.69 (define @t2696 () (tptp.tc_fun @t2695 @t2695)) % 3.41/3.69 (define @t2697 () (tptp.c_Product__Type_OPair @t2695 @t2556)) % 3.41/3.69 (define @t2698 () (tptp.tc_prod @t2695 @t2556)) % 3.41/3.69 (define @t2699 () (tptp.tc_fun @t2556 @t2698)) % 3.41/3.69 (define @t2700 () (tptp.tc_fun @t2695 @t2699)) % 3.41/3.69 (define @t2701 () (tptp.c_Random__Sequence_ORandom @t10 @t1 @t2613 @t2612)) % 3.41/3.69 (define @t2702 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2106 @t2613) @t1967))) % 3.41/3.69 (define @t2703 () (tptp.hAPP @t2697 (tptp.c_DSequence_Oempty @t10))) % 3.41/3.69 (define @t2704 () (tptp.hAPP @t6 @t267)) % 3.41/3.69 (define @t2705 () (tptp.hAPP (tptp.hAPP @t2382 @t349) @t610)) % 3.41/3.69 (define @t2706 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t10 @t92 tptp.tc_HOL_Obool @t2) @t168) @t21))) % 3.41/3.69 (define @t2707 () (tptp.hBOOL (tptp.hAPP @t2 @t2351))) % 3.41/3.69 (define @t2708 () (tptp.hAPP @t2380 @t2)) % 3.41/3.69 (define @t2709 () (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 @t2682 @t10) (tptp.hAPP (tptp.c_COMBB @t2388 tptp.tc_HOL_Obool @t92) @t55)) @t2349))) % 3.41/3.69 (define @t2710 () (tptp.hAPP @t2372 @t610)) % 3.41/3.69 (define @t2711 () (tptp.hAPP tptp.c_fequal @t610)) % 3.41/3.69 (define @t2712 () (tptp.hAPP tptp.c_fequal @t349)) % 3.41/3.69 (define @t2713 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 @t10)) % 3.41/3.69 (define @t2714 () (tptp.hAPP @t2713 tptp.c_fconj)) % 3.41/3.69 (define @t2715 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t92)) % 3.41/3.69 (define @t2716 () (tptp.tc_fun @t2682 @t2682)) % 3.41/3.69 (define @t2717 () (tptp.hAPP (tptp.c_COMBB @t2189 @t2716 @t10) @t2715)) % 3.41/3.69 (define @t2718 () (tptp.c_COMBC @t10 @t2682 @t2682)) % 3.41/3.69 (define @t2719 () (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP @t2718 (tptp.hAPP @t2717 (tptp.hAPP @t2714 @t2712))) @t2711))) % 3.41/3.69 (define @t2720 () (@list @t610 @t349 @t92 @t10)) % 3.41/3.69 (define @t2721 () (tptp.c_Random__Sequence_Osingle @t10)) % 3.41/3.69 (define @t2722 () (tptp.hAPP @t2608 tptp.c_fequal)) % 3.41/3.69 (define @t2723 () (tptp.hAPP @t2722 @t168)) % 3.41/3.69 (define @t2724 () (tptp.hAPP @t1261 @t4)) % 3.41/3.69 (define @t2725 () (tptp.c_member @t10)) % 3.41/3.69 (define @t2726 () (tptp.hAPP @t2725 @t4)) % 3.41/3.69 (define @t2727 () (tptp.hBOOL (tptp.hAPP @t2726 @t1419))) % 3.41/3.69 (define @t2728 () (tptp.c_Predicate_OPowp @t10 @t1261)) % 3.41/3.69 (define @t2729 () (tptp.tc_fun @t2309 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2730 () (tptp.c_Orderings_Oord__class_Oless__eq @t2729)) % 3.41/3.69 (define @t2731 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2732 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2733 () (tptp.hAPP @t1448 @t773)) % 3.41/3.69 (define @t2734 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2735 () (tptp.hAPP @t2734 @t19)) % 3.41/3.69 (define @t2736 () (@list @t19 @t809 @t168)) % 3.41/3.69 (define @t2737 () (tptp.hAPP @t2731 @t101)) % 3.41/3.69 (define @t2738 () (tptp.c_Rings_Odvd__class_Odvd @t66)) % 3.41/3.69 (define @t2739 () (tptp.hAPP @t2738 @t249)) % 3.41/3.69 (define @t2740 () (tptp.c_COMBB @t10 @t10 @t92)) % 3.41/3.69 (define @t2741 () (tptp.hAPP (tptp.hAPP @t2740 @t1584) @t2)) % 3.41/3.69 (define @t2742 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t92 @t10)) % 3.41/3.69 (define @t2743 () (tptp.hAPP (tptp.hAPP @t2742 @t2741) @t1261)) % 3.41/3.69 (define @t2744 () (tptp.hAPP @t2742 @t2)) % 3.41/3.69 (define @t2745 () (tptp.hAPP @t2744 @t1261)) % 3.41/3.69 (define @t2746 () (@list @t1261 @t2 @t92 @t10)) % 3.41/3.69 (define @t2747 () (tptp.hAPP @t2731 @t314)) % 3.41/3.69 (define @t2748 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 3.41/3.69 (define @t2749 () (tptp.hAPP @t2748 @t314)) % 3.41/3.69 (define @t2750 () (tptp.hBOOL (tptp.hAPP @t2749 @t316))) % 3.41/3.69 (define @t2751 () (@list @t316 @t314 @t10)) % 3.41/3.69 (define @t2752 () (tptp.hAPP @t1594 @t65)) % 3.41/3.69 (define @t2753 () (tptp.hAPP @t2738 @t1951)) % 3.41/3.69 (define @t2754 () (tptp.hAPP @t2738 @t101)) % 3.41/3.69 (define @t2755 () (tptp.hBOOL (tptp.hAPP @t2754 @t100))) % 3.41/3.69 (define @t2756 () (tptp.hBOOL (tptp.hAPP @t2739 @t87))) % 3.41/3.69 (define @t2757 () (tptp.hBOOL (tptp.hAPP @t2739 @t272))) % 3.41/3.69 (define @t2758 () (tptp.c_SetInterval_Oord__class_OlessThan @t10)) % 3.41/3.69 (define @t2759 () (tptp.hAPP @t2758 @t610)) % 3.41/3.69 (define @t2760 () (tptp.hAPP @t2758 @t349)) % 3.41/3.69 (define @t2761 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t610) @t349))) % 3.41/3.69 (define @t2762 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t349) @t610))) % 3.41/3.69 (define @t2763 () (and @t2762 (not @t2761))) % 3.41/3.69 (define @t2764 () (tptp.hAPP @t2731 @t272)) % 3.41/3.69 (define @t2765 () (tptp.hBOOL (tptp.hAPP @t2764 @t249))) % 3.41/3.69 (define @t2766 () (tptp.hAPP @t2731 @t249)) % 3.41/3.69 (define @t2767 () (tptp.hBOOL (tptp.hAPP @t2766 @t272))) % 3.41/3.69 (define @t2768 () (and @t2767 (not @t2765))) % 3.41/3.69 (define @t2769 () (tptp.hBOOL (tptp.hAPP @t2737 @t100))) % 3.41/3.69 (define @t2770 () (tptp.hAPP @t2731 @t100)) % 3.41/3.69 (define @t2771 () (tptp.hBOOL (tptp.hAPP @t2770 @t101))) % 3.41/3.69 (define @t2772 () (and @t2769 (not @t2771))) % 3.41/3.69 (define @t2773 () (tptp.hBOOL (tptp.hAPP @t2766 @t87))) % 3.41/3.69 (define @t2774 () (tptp.hBOOL (tptp.hAPP @t2764 @t87))) % 3.41/3.69 (define @t2775 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t65) @t235))) % 3.41/3.69 (define @t2776 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t235) @t65))) % 3.41/3.69 (define @t2777 () (tptp.hBOOL (tptp.hAPP @t2737 @t306))) % 3.41/3.69 (define @t2778 () (tptp.hBOOL (tptp.hAPP @t2770 @t306))) % 3.41/3.69 (define @t2779 () (tptp.hAPP @t2731 @t87)) % 3.41/3.69 (define @t2780 () (and @t2773 (not (tptp.hBOOL (tptp.hAPP @t2779 @t249))))) % 3.41/3.69 (define @t2781 () (tptp.hAPP @t2731 @t306)) % 3.41/3.69 (define @t2782 () (and @t2777 (not (tptp.hBOOL (tptp.hAPP @t2781 @t101))))) % 3.41/3.69 (define @t2783 () (=> (and @t2778 (not (tptp.hBOOL (tptp.hAPP @t2781 @t100)))) @t2782)) % 3.41/3.69 (define @t2784 () (tptp.hAPP @t2738 @t272)) % 3.41/3.69 (define @t2785 () (tptp.hBOOL (tptp.hAPP @t2784 @t87))) % 3.41/3.69 (define @t2786 () (tptp.hAPP @t2738 @t311)) % 3.41/3.69 (define @t2787 () (tptp.hBOOL (tptp.hAPP @t2786 @t235))) % 3.41/3.69 (define @t2788 () (tptp.hBOOL (tptp.hAPP @t2786 @t65))) % 3.41/3.69 (define @t2789 () (tptp.hBOOL (tptp.hAPP @t2786 (tptp.c_Divides_Odiv__class_Omod @t66 @t235 @t65)))) % 3.41/3.69 (define @t2790 () (@list @t65 @t235 @t311 @t66)) % 3.41/3.69 (define @t2791 () (tptp.hAPP @t2738 @t87)) % 3.41/3.69 (define @t2792 () (tptp.hBOOL (tptp.hAPP @t2791 @t272))) % 3.41/3.69 (define @t2793 () (tptp.hAPP @t2748 @t316)) % 3.41/3.69 (define @t2794 () (tptp.class_Divides_Osemiring__div @t10)) % 3.41/3.69 (define @t2795 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t613) @t612))) % 3.41/3.69 (define @t2796 () (tptp.hBOOL (tptp.hAPP @t2739 @t725))) % 3.41/3.69 (define @t2797 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t715) @t87))) % 3.41/3.69 (define @t2798 () (tptp.c_Divides_Odiv__class_Odiv @t10)) % 3.41/3.69 (define @t2799 () (tptp.hAPP (tptp.hAPP @t2798 @t21) @t168)) % 3.41/3.69 (define @t2800 () (tptp.hAPP @t2748 @t168)) % 3.41/3.69 (define @t2801 () (tptp.hBOOL (tptp.hAPP @t2800 @t21))) % 3.41/3.69 (define @t2802 () (tptp.hAPP @t2732 @t311)) % 3.41/3.69 (define @t2803 () (=> (tptp.hBOOL (tptp.hAPP @t2802 @t65)) (tptp.hBOOL (tptp.hAPP @t2802 @t235)))) % 3.41/3.69 (define @t2804 () (@var "V_f" $$unsorted)) % 3.41/3.69 (define @t2805 () (tptp.hAPP @t2732 @t2804)) % 3.41/3.69 (define @t2806 () (tptp.hAPP @t2732 @t809)) % 3.41/3.69 (define @t2807 () (tptp.hBOOL (tptp.hAPP @t2806 @t62))) % 3.41/3.69 (define @t2808 () (@list @t62 @t809)) % 3.41/3.69 (define @t2809 () (tptp.hAPP @t2731 @t316)) % 3.41/3.69 (define @t2810 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 @t92) @t568) @t2)) % 3.41/3.69 (define @t2811 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t92 tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2812 () (tptp.hAPP @t2748 @t349)) % 3.41/3.69 (define @t2813 () (tptp.hBOOL (tptp.hAPP @t2812 @t610))) % 3.41/3.69 (define @t2814 () (tptp.class_Rings_Ocomm__ring__1 @t10)) % 3.41/3.69 (define @t2815 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t10)) % 3.41/3.69 (define @t2816 () (tptp.hAPP @t2815 @t2)) % 3.41/3.69 (define @t2817 () (tptp.hAPP @t2734 @t48)) % 3.41/3.69 (define @t2818 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 3.41/3.69 (define @t2819 () (@list @t19 @t2 @t10)) % 3.41/3.69 (define @t2820 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 @t92) @t669) @t2)) % 3.41/3.69 (define @t2821 () (tptp.hAPP @t2731 @t311)) % 3.41/3.69 (define @t2822 () (tptp.hBOOL (tptp.hAPP @t2821 @t1399))) % 3.41/3.69 (define @t2823 () (tptp.hBOOL (tptp.hAPP @t2821 @t65))) % 3.41/3.69 (define @t2824 () (tptp.hBOOL (tptp.hAPP @t2821 @t235))) % 3.41/3.69 (define @t2825 () (tptp.c_COMBC @t92 @t530 @t10)) % 3.41/3.69 (define @t2826 () (tptp.hAPP @t2825 @t2)) % 3.41/3.69 (define @t2827 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t530 @t10)) % 3.41/3.69 (define @t2828 () (tptp.tc_fun @t530 @t10)) % 3.41/3.69 (define @t2829 () (tptp.c_COMBB @t2828 (tptp.tc_fun @t2413 @t10) @t92)) % 3.41/3.69 (define @t2830 () (tptp.hAPP @t2829 @t2827)) % 3.41/3.69 (define @t2831 () (tptp.c_COMBC @t92 @t2413 @t10)) % 3.41/3.69 (define @t2832 () (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP (tptp.hAPP @t2831 (tptp.hAPP @t2830 @t2)) @t1419)) @t1261)) % 3.41/3.69 (define @t2833 () (@list @t1261 @t1419 @t2 @t530 @t92 @t10)) % 3.41/3.69 (define @t2834 () (tptp.hAPP @t2508 @t331)) % 3.41/3.69 (define @t2835 () (@list @t1261 @t92 @t10)) % 3.41/3.69 (define @t2836 () (tptp.hAPP @t2742 @t1)) % 3.41/3.69 (define @t2837 () (tptp.hAPP @t2836 @t1261)) % 3.41/3.69 (define @t2838 () (tptp.c_COMBB @t10 @t2203 @t92)) % 3.41/3.69 (define @t2839 () (tptp.c_COMBS @t92 @t10 @t10)) % 3.41/3.69 (define @t2840 () (tptp.hAPP (tptp.hAPP @t2839 (tptp.hAPP (tptp.hAPP @t2838 @t287) @t2)) @t1)) % 3.41/3.69 (define @t2841 () (@list @t1261 @t1 @t2 @t92 @t10)) % 3.41/3.69 (define @t2842 () (tptp.hAPP @t704 @t1972)) % 3.41/3.69 (define @t2843 () (tptp.class_Rings_Osemiring__0 @t10)) % 3.41/3.69 (define @t2844 () (tptp.hAPP (tptp.hAPP @t2838 @t704) @t2)) % 3.41/3.69 (define @t2845 () (tptp.c_COMBC @t92 @t10 @t10)) % 3.41/3.69 (define @t2846 () (tptp.hAPP @t2845 @t2844)) % 3.41/3.69 (define @t2847 () (tptp.hAPP @t704 @t2745)) % 3.41/3.69 (define @t2848 () (@list @t1972 @t1261 @t2 @t92 @t10)) % 3.41/3.69 (define @t2849 () (tptp.hAPP (tptp.hAPP @t2839 (tptp.hAPP (tptp.hAPP @t2838 @t1414) @t2)) @t1)) % 3.41/3.69 (define @t2850 () (tptp.hAPP @t2732 @t349)) % 3.41/3.69 (define @t2851 () (tptp.hAPP tptp.c_Int_Onat @t1668)) % 3.41/3.69 (define @t2852 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t583) @t588))) % 3.41/3.69 (define @t2853 () (@list @t314 @t583)) % 3.41/3.69 (define @t2854 () (or @t2007 @t2801)) % 3.41/3.69 (define @t2855 () (tptp.hAPP @t434 @t314)) % 3.41/3.69 (define @t2856 () (tptp.hAPP @t1320 @t101)) % 3.41/3.69 (define @t2857 () (tptp.hAPP @t2738 @t306)) % 3.41/3.69 (define @t2858 () (tptp.hAPP @t1320 @t272)) % 3.41/3.69 (define @t2859 () (tptp.hAPP @t2858 @t249)) % 3.41/3.69 (define @t2860 () (tptp.hAPP @t690 @t2859)) % 3.41/3.69 (define @t2861 () (tptp.hAPP @t2856 @t100)) % 3.41/3.69 (define @t2862 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t100) @t101))) % 3.41/3.69 (define @t2863 () (tptp.hAPP @t716 @t2861)) % 3.41/3.69 (define @t2864 () (tptp.hAPP @t2738 @t1689)) % 3.41/3.69 (define @t2865 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t65) @t235))) % 3.41/3.69 (define @t2866 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t235) @t65))) % 3.41/3.69 (define @t2867 () (tptp.hAPP @t1268 @t314)) % 3.41/3.69 (define @t2868 () (tptp.hAPP @t2732 @t316)) % 3.41/3.69 (define @t2869 () (tptp.hAPP @t2732 @t168)) % 3.41/3.69 (define @t2870 () (tptp.hBOOL (tptp.hAPP @t2747 @t19))) % 3.41/3.69 (define @t2871 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t993) @t992))) % 3.41/3.69 (define @t2872 () (tptp.hAPP @t704 @t569)) % 3.41/3.69 (define @t2873 () (tptp.c_COMBB @t10 @t2203 tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2874 () (tptp.hAPP @t287 @t709)) % 3.41/3.69 (define @t2875 () (tptp.hAPP @t704 (tptp.hAPP @t2874 @t709))) % 3.41/3.69 (define @t2876 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 3.41/3.69 (define @t2877 () (tptp.hAPP @t287 @t4)) % 3.41/3.69 (define @t2878 () (tptp.class_Rings_Odvd @t10)) % 3.41/3.69 (define @t2879 () (tptp.hAPP @t2748 @t809)) % 3.41/3.69 (define @t2880 () (@list @t4 @t522)) % 3.41/3.69 (define @t2881 () (tptp.hAPP @t1566 @t349)) % 3.41/3.69 (define @t2882 () (tptp.hAPP @t1566 @t610)) % 3.41/3.69 (define @t2883 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2884 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 tptp.tc_Nat_Onat) tptp.c_fconj)) % 3.41/3.69 (define @t2885 () (tptp.tc_fun tptp.tc_Nat_Onat @t2189)) % 3.41/3.69 (define @t2886 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t2887 () (tptp.tc_fun @t2184 @t2184)) % 3.41/3.69 (define @t2888 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t2184 @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2885 @t2887 tptp.tc_Nat_Onat) @t2886) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 @t2885 tptp.tc_Nat_Onat) @t2884) @t2731))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 @t2184 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 @t2883 @t2731)))) % 3.41/3.69 (define @t2889 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t10 @t2888 @t2)) % 3.41/3.69 (define @t2890 () (@list @t610 @t349 @t2 @t10)) % 3.41/3.69 (define @t2891 () (tptp.hAPP @t260 @t168)) % 3.41/3.69 (define @t2892 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2893 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t566) @t2371))) % 3.41/3.69 (define @t2894 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t10 @t2731 @t2)) % 3.41/3.69 (define @t2895 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t314 @t19)) % 3.41/3.69 (define @t2896 () (tptp.hAPP @t2542 @t260)) % 3.41/3.69 (define @t2897 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Nat_Onat) @t2)) % 3.41/3.69 (define @t2898 () (tptp.hAPP (tptp.hAPP @t2815 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t2873 @t1414) @t2)) (tptp.hAPP @t2897 (tptp.hAPP @t2896 @t773)))) @t2895)) % 3.41/3.69 (define @t2899 () (tptp.hAPP @t321 @t773)) % 3.41/3.69 (define @t2900 () (@list @t2 @t19 @t314 @t10)) % 3.41/3.69 (define @t2901 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t773 @t19)) % 3.41/3.69 (define @t2902 () (tptp.hAPP @t2892 @t2)) % 3.41/3.69 (define @t2903 () (@list @t2 @t10)) % 3.41/3.69 (define @t2904 () (tptp.hBOOL (tptp.hAPP @t1016 @t809))) % 3.41/3.69 (define @t2905 () (tptp.hBOOL (tptp.hAPP @t1421 @t168))) % 3.41/3.69 (define @t2906 () (and @t2905 @t2904)) % 3.41/3.69 (define @t2907 () (not @t1011)) % 3.41/3.69 (define @t2908 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t20 @t809)) % 3.41/3.69 (define @t2909 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t168 @t21)) % 3.41/3.69 (define @t2910 () (tptp.hAPP @t2815 (tptp.hAPP @t2897 tptp.c_Nat_OSuc))) % 3.41/3.69 (define @t2911 () (@list @t19 @t314 @t2 @t10)) % 3.41/3.69 (define @t2912 () (tptp.hAPP @t2896 @t316)) % 3.41/3.69 (define @t2913 () (tptp.hAPP @t2815 (tptp.hAPP @t2897 @t2912))) % 3.41/3.69 (define @t2914 () (@list @t19 @t316 @t314 @t2 @t10)) % 3.41/3.69 (define @t2915 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t10) @t576) @t2)) % 3.41/3.69 (define @t2916 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2917 () (tptp.hAPP (tptp.hAPP @t2916 @t2915) @t1261)) % 3.41/3.69 (define @t2918 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2919 () (tptp.hAPP @t2918 @t2)) % 3.41/3.69 (define @t2920 () (tptp.hAPP @t2919 @t1261)) % 3.41/3.69 (define @t2921 () (@list @t1261 @t2 @t10)) % 3.41/3.69 (define @t2922 () (tptp.hAPP @t287 @t603)) % 3.41/3.69 (define @t2923 () (tptp.hAPP @t2816 @t2895)) % 3.41/3.69 (define @t2924 () (tptp.hAPP @t287 @t2923)) % 3.41/3.69 (define @t2925 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t314 @t48)) % 3.41/3.69 (define @t2926 () (tptp.hAPP @t2816 @t2925)) % 3.41/3.69 (define @t2927 () (tptp.hBOOL (tptp.hAPP @t2219 @t314))) % 3.41/3.69 (define @t2928 () (@list @t2 @t314 @t19 @t10)) % 3.41/3.69 (define @t2929 () (tptp.hAPP @t321 @t1553)) % 3.41/3.69 (define @t2930 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t199 @t19)) % 3.41/3.69 (define @t2931 () (tptp.c_member tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t2932 () (tptp.hAPP @t2931 @t4)) % 3.41/3.69 (define @t2933 () (tptp.hBOOL (tptp.hAPP @t2932 @t2930))) % 3.41/3.69 (define @t2934 () (tptp.hBOOL (tptp.hAPP @t55 @t406))) % 3.41/3.69 (define @t2935 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t406) @t19))) % 3.41/3.69 (define @t2936 () (@list @t55 @t19)) % 3.41/3.69 (define @t2937 () (tptp.hAPP @t51 @t4)) % 3.41/3.69 (define @t2938 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t199)) % 3.41/3.69 (define @t2939 () (tptp.hAPP @t2938 @t19)) % 3.41/3.69 (define @t2940 () (tptp.hBOOL (tptp.hAPP @t2932 @t2939))) % 3.41/3.69 (define @t2941 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t406) @t19))) % 3.41/3.69 (define @t2942 () (= @t21 @t809)) % 3.41/3.69 (define @t2943 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t20) @t809)) % 3.41/3.69 (define @t2944 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t168) @t21)) % 3.41/3.69 (define @t2945 () (= @t2944 @t2943)) % 3.41/3.69 (define @t2946 () (= @t168 @t20)) % 3.41/3.69 (define @t2947 () (and @t2946 @t2942)) % 3.41/3.69 (define @t2948 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1477 @t1524)) % 3.41/3.69 (define @t2949 () (tptp.hAPP tptp.c_Nat_OSuc @t1524)) % 3.41/3.69 (define @t2950 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1477)) % 3.41/3.69 (define @t2951 () (@list @t1524 @t1477)) % 3.41/3.69 (define @t2952 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t314)) % 3.41/3.69 (define @t2953 () (tptp.hAPP @t2952 @t19)) % 3.41/3.69 (define @t2954 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t461)) % 3.41/3.69 (define @t2955 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t143)) % 3.41/3.69 (define @t2956 () (tptp.hAPP @t964 @t143)) % 3.41/3.69 (define @t2957 () (tptp.hAPP @t2816 (tptp.hAPP @t2952 @t1553))) % 3.41/3.69 (define @t2958 () (tptp.hAPP @t2816 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t19) @t1553))) % 3.41/3.69 (define @t2959 () (tptp.hAPP @t2816 @t2953)) % 3.41/3.69 (define @t2960 () (tptp.hAPP @t287 @t2959)) % 3.41/3.69 (define @t2961 () (tptp.hBOOL (tptp.hAPP @t1015 @t1553))) % 3.41/3.69 (define @t2962 () (@list @t2 @t1553 @t19 @t314 @t10)) % 3.41/3.69 (define @t2963 () (tptp.hAPP @t2952 @t48)) % 3.41/3.69 (define @t2964 () (tptp.hAPP @t2816 @t2963)) % 3.41/3.69 (define @t2965 () (tptp.hAPP @t1549 @t2527)) % 3.41/3.69 (define @t2966 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t4) @t62))) % 3.41/3.69 (define @t2967 () (@var "B_xa" $$unsorted)) % 3.41/3.69 (define @t2968 () (@var "B_xb" $$unsorted)) % 3.41/3.69 (define @t2969 () (tptp.c_member tptp.tc_Int_Oint)) % 3.41/3.69 (define @t2970 () (tptp.hAPP @t2969 @t2968)) % 3.41/3.69 (define @t2971 () (@list @t2968)) % 3.41/3.69 (define @t2972 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t686 @t2527)) % 3.41/3.69 (define @t2973 () (tptp.hAPP @t2969 @t2967)) % 3.41/3.69 (define @t2974 () (tptp.hBOOL (tptp.hAPP @t2973 @t2972))) % 3.41/3.69 (define @t2975 () (@list @t2967)) % 3.41/3.69 (define @t2976 () (forall @t2975 (=> @t2974 (forall @t2971 (=> (tptp.hBOOL (tptp.hAPP @t2970 @t1419)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t581 @t2968) @t2967)))))))) % 3.41/3.69 (define @t2977 () (tptp.hBOOL (tptp.hAPP @t594 @t2527))) % 3.41/3.69 (define @t2978 () (@list @t62 @t1419 @t2527)) % 3.41/3.69 (define @t2979 () (tptp.hAPP @t1403 @t2527)) % 3.41/3.69 (define @t2980 () (tptp.hAPP @t900 @t62)) % 3.41/3.69 (define @t2981 () (tptp.hBOOL (tptp.hAPP @t2980 @t4))) % 3.41/3.69 (define @t2982 () (forall @t2975 (=> @t2974 (forall @t2971 (=> (tptp.hBOOL (tptp.hAPP @t2970 @t1261)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t1392 @t2968) @t2967)))))))) % 3.41/3.69 (define @t2983 () (@list @t62 @t1261 @t2527)) % 3.41/3.69 (define @t2984 () (tptp.hAPP @t2969 @t4)) % 3.41/3.69 (define @t2985 () (tptp.hAPP @t584 @t62)) % 3.41/3.69 (define @t2986 () (tptp.hBOOL (tptp.hAPP @t2985 @t4))) % 3.41/3.69 (define @t2987 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1477 @t1524)) % 3.41/3.69 (define @t2988 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1477)) % 3.41/3.69 (define @t2989 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t4) @t62))) % 3.41/3.69 (define @t2990 () (tptp.hBOOL (tptp.hAPP @t2806 (tptp.hAPP (tptp.hAPP @t581 @t2979) @t62)))) % 3.41/3.69 (define @t2991 () (tptp.hBOOL (tptp.hAPP @t2806 (tptp.hAPP @t1403 @t62)))) % 3.41/3.69 (define @t2992 () (not @t2991)) % 3.41/3.69 (define @t2993 () (tptp.hBOOL (tptp.hAPP @t2806 @t2527))) % 3.41/3.69 (define @t2994 () (@list @t62 @t1261 @t2527 @t809)) % 3.41/3.69 (define @t2995 () (tptp.hBOOL (tptp.hAPP @t2806 (tptp.hAPP (tptp.hAPP @t581 @t2965) @t62)))) % 3.41/3.69 (define @t2996 () (@list @t62 @t1419 @t2527 @t809)) % 3.41/3.69 (define @t2997 () (tptp.hAPP tptp.c_Int_Onat @t1524)) % 3.41/3.69 (define @t2998 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t576)) % 3.41/3.69 (define @t2999 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t575)) % 3.41/3.69 (define @t3000 () (tptp.hAPP @t2999 @t1524)) % 3.41/3.69 (define @t3001 () (@list @t1524)) % 3.41/3.69 (define @t3002 () (tptp.hAPP @t2815 @t55)) % 3.41/3.69 (define @t3003 () (tptp.hAPP @t2 @t267)) % 3.41/3.69 (define @t3004 () (tptp.hAPP @t434 @t6)) % 3.41/3.69 (define @t3005 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t4) @t267))) % 3.41/3.69 (define @t3006 () (tptp.c_Set_Oimage @t10 @t10 @t700)) % 3.41/3.69 (define @t3007 () (@var "B_AA" $$unsorted)) % 3.41/3.69 (define @t3008 () (tptp.c_Set_Oimage @t92 @t10 @t2)) % 3.41/3.69 (define @t3009 () (tptp.c_Orderings_Oord__class_Oless__eq @t2682)) % 3.41/3.69 (define @t3010 () (tptp.hAPP @t3008 @t1261)) % 3.41/3.69 (define @t3011 () (tptp.hBOOL (tptp.hAPP @t2438 @t3010))) % 3.41/3.69 (define @t3012 () (tptp.c_Set_Oimage @t10 @t92 @t2)) % 3.41/3.69 (define @t3013 () (tptp.hAPP @t3012 @t1419)) % 3.41/3.69 (define @t3014 () (tptp.hAPP @t3012 @t1261)) % 3.41/3.69 (define @t3015 () (tptp.hAPP @t3009 @t3014)) % 3.41/3.69 (define @t3016 () (tptp.hBOOL (tptp.hAPP @t3015 @t3013))) % 3.41/3.69 (define @t3017 () (@list @t2 @t92 @t1419 @t1261 @t10)) % 3.41/3.69 (define @t3018 () (tptp.hAPP @t2998 @t1419)) % 3.41/3.69 (define @t3019 () (tptp.hAPP @t2998 @t1261)) % 3.41/3.69 (define @t3020 () (tptp.c_Orderings_Oord__class_Oless__eq @t2326)) % 3.41/3.69 (define @t3021 () (tptp.c_Orderings_Oord__class_Oless__eq @t2184)) % 3.41/3.69 (define @t3022 () (tptp.hAPP @t3021 @t1261)) % 3.41/3.69 (define @t3023 () (@list @t1419 @t1261)) % 3.41/3.69 (define @t3024 () (tptp.c_COMBB @t92 @t10 @t530)) % 3.41/3.69 (define @t3025 () (tptp.c_Set_Oimage @t530 @t92 @t1)) % 3.41/3.69 (define @t3026 () (tptp.c_Orderings_Oord__class_Oless @t2326)) % 3.41/3.69 (define @t3027 () (tptp.c_Orderings_Oord__class_Oless @t2184)) % 3.41/3.69 (define @t3028 () (tptp.c_Groups_Ominus__class_Ominus @t2682)) % 3.41/3.69 (define @t3029 () (tptp.hAPP @t3028 @t1261)) % 3.41/3.69 (define @t3030 () (tptp.hAPP @t3029 @t1419)) % 3.41/3.69 (define @t3031 () (tptp.hAPP @t3008 @t1419)) % 3.41/3.69 (define @t3032 () (@list @t1419 @t1261 @t2 @t92 @t10)) % 3.41/3.69 (define @t3033 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1477 @t1524)) % 3.41/3.69 (define @t3034 () (tptp.hAPP tptp.c_Nat_OSuc @t1477)) % 3.41/3.69 (define @t3035 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t10)) % 3.41/3.69 (define @t3036 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 3.41/3.69 (define @t3037 () (and @t2818 @t3036)) % 3.41/3.69 (define @t3038 () (tptp.hBOOL (tptp.hAPP @t405 @t6))) % 3.41/3.69 (define @t3039 () (tptp.hBOOL (tptp.hAPP @t2726 @t1261))) % 3.41/3.69 (define @t3040 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t92)) % 3.41/3.69 (define @t3041 () (tptp.hAPP @t3040 @t1)) % 3.41/3.69 (define @t3042 () (tptp.hAPP @t3040 @t2)) % 3.41/3.69 (define @t3043 () (tptp.hAPP @t434 @t4)) % 3.41/3.69 (define @t3044 () (tptp.class_Groups_Ocomm__monoid__add @t92)) % 3.41/3.69 (define @t3045 () (tptp.hAPP @t1392 @t1524)) % 3.41/3.69 (define @t3046 () (tptp.hAPP @t3045 @t1477)) % 3.41/3.69 (define @t3047 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 3.41/3.69 (define @t3048 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t10)) % 3.41/3.69 (define @t3049 () (tptp.hAPP tptp.c_Int_Onat @t3046)) % 3.41/3.69 (define @t3050 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1477 @t1524)) % 3.41/3.69 (define @t3051 () (tptp.hAPP @t3048 @t610)) % 3.41/3.69 (define @t3052 () (tptp.hAPP @t3048 @t349)) % 3.41/3.69 (define @t3053 () (tptp.hAPP tptp.c_Nat_OSuc @t1483)) % 3.41/3.69 (define @t3054 () (tptp.hAPP tptp.c_Nat_OSuc @t143)) % 3.41/3.69 (define @t3055 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t143)) % 3.41/3.69 (define @t3056 () (tptp.hAPP @t3055 @t1483)) % 3.41/3.69 (define @t3057 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 3.41/3.69 (define @t3058 () (@list @t1483 @t143)) % 3.41/3.69 (define @t3059 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t143 @t1483)) % 3.41/3.69 (define @t3060 () (tptp.hAPP (tptp.hAPP @t260 @t1483) @t316)) % 3.41/3.69 (define @t3061 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2912)) % 3.41/3.69 (define @t3062 () (@list @t1483 @t143 @t316)) % 3.41/3.69 (define @t3063 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t10) @t773)) % 3.41/3.69 (define @t3064 () (tptp.c_Finite__Set_Ocard @t10)) % 3.41/3.69 (define @t3065 () (tptp.hAPP @t3064 @t1261)) % 3.41/3.69 (define @t3066 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 3.41/3.69 (define @t3067 () (@list @t1261)) % 3.41/3.69 (define @t3068 () (tptp.c_Finite__Set_Ocard @t92)) % 3.41/3.69 (define @t3069 () (tptp.hAPP @t3068 @t1261)) % 3.41/3.69 (define @t3070 () (tptp.hAPP @t2988 @t1524)) % 3.41/3.69 (define @t3071 () (tptp.hAPP (tptp.hAPP @t581 @t1477) @t686)) % 3.41/3.69 (define @t3072 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1477 @t1524)) % 3.41/3.69 (define @t3073 () (tptp.hAPP @t3066 @t1261)) % 3.41/3.69 (define @t3074 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t10 tptp.tc_Nat_Onat) @t2) @t576)) % 3.41/3.69 (define @t3075 () (tptp.hAPP @t3035 @t2)) % 3.41/3.69 (define @t3076 () (tptp.hAPP @t3075 @t1261)) % 3.41/3.69 (define @t3077 () (tptp.c_Nat__Transfer_Onat__set @t1261)) % 3.41/3.69 (define @t3078 () (@list @t2 @t1261 @t10)) % 3.41/3.69 (define @t3079 () (tptp.hAPP @t3066 @t1419)) % 3.41/3.69 (define @t3080 () (tptp.c_Nat__Transfer_Onat__set @t1419)) % 3.41/3.69 (define @t3081 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t3082 () (tptp.hAPP @t1397 @t1524)) % 3.41/3.69 (define @t3083 () (tptp.hAPP @t3082 @t1477)) % 3.41/3.69 (define @t3084 () (tptp.hAPP @t2950 @t1524)) % 3.41/3.69 (define @t3085 () (@var "V_S_2" $$unsorted)) % 3.41/3.69 (define @t3086 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t349 @t610))) % 3.41/3.69 (define @t3087 () (tptp.hAPP @t3081 @t1261)) % 3.41/3.69 (define @t3088 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t316) (tptp.hAPP @t317 @t3087))) % 3.41/3.69 (define @t3089 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t3090 () (tptp.hAPP @t3089 @t19)) % 3.41/3.69 (define @t3091 () (forall @t8 (=> @t1096 @t7))) % 3.41/3.69 (define @t3092 () (@list @t1 @t2 @t1419 @t1261 @t10)) % 3.41/3.69 (define @t3093 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t1477 @t1524)) % 3.41/3.69 (define @t3094 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t314 @t1524)) % 3.41/3.69 (define @t3095 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t1477 @t314)) % 3.41/3.69 (define @t3096 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2309)) % 3.41/3.69 (define @t3097 () (tptp.hAPP @t3096 @t3095)) % 3.41/3.69 (define @t3098 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t314) @t1524))) % 3.41/3.69 (define @t3099 () (tptp.hAPP @t434 @t1477)) % 3.41/3.69 (define @t3100 () (tptp.hBOOL (tptp.hAPP @t3099 @t314))) % 3.41/3.69 (define @t3101 () (@list @t1524 @t314 @t1477 @t10)) % 3.41/3.69 (define @t3102 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t1477)) % 3.41/3.69 (define @t3103 () (tptp.hAPP @t3102 @t1524)) % 3.41/3.69 (define @t3104 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t314 @t1524)) % 3.41/3.69 (define @t3105 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t1477 @t314)) % 3.41/3.69 (define @t3106 () (tptp.hAPP @t3096 @t3105)) % 3.41/3.69 (define @t3107 () (tptp.hBOOL (tptp.hAPP @t2855 @t1524))) % 3.41/3.69 (define @t3108 () (tptp.hAPP @t964 @t1477)) % 3.41/3.69 (define @t3109 () (tptp.hBOOL (tptp.hAPP @t3108 @t314))) % 3.41/3.69 (define @t3110 () (tptp.hBOOL @t1420)) % 3.41/3.69 (define @t3111 () (tptp.hBOOL @t1262)) % 3.41/3.69 (define @t3112 () (tptp.hAPP @t3096 @t1261)) % 3.41/3.69 (define @t3113 () (tptp.hAPP @t3112 @t1419)) % 3.41/3.69 (define @t3114 () (tptp.hBOOL (tptp.hAPP @t3113 @t349))) % 3.41/3.69 (define @t3115 () (@list @t349 @t1419 @t1261 @t10)) % 3.41/3.69 (define @t3116 () (not @t3110)) % 3.41/3.69 (define @t3117 () (tptp.c_SetInterval_Oord__class_OatMost @t10)) % 3.41/3.69 (define @t3118 () (tptp.hAPP @t3117 @t1524)) % 3.41/3.69 (define @t3119 () (tptp.hAPP @t3117 @t1477)) % 3.41/3.69 (define @t3120 () (tptp.hAPP @t3096 @t3119)) % 3.41/3.69 (define @t3121 () (tptp.hBOOL (tptp.hAPP @t3108 @t1524))) % 3.41/3.69 (define @t3122 () (@list @t1524 @t1477 @t10)) % 3.41/3.69 (define @t3123 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2682)) % 3.41/3.69 (define @t3124 () (tptp.hAPP @t3123 @t1261)) % 3.41/3.69 (define @t3125 () (tptp.hAPP @t3124 @t1419)) % 3.41/3.69 (define @t3126 () (@list @t1419 @t1261 @t2 @t10 @t92)) % 3.41/3.69 (define @t3127 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2326)) % 3.41/3.69 (define @t3128 () (tptp.hAPP (tptp.hAPP @t3127 @t1261) @t1419)) % 3.41/3.69 (define @t3129 () (tptp.hAPP @t3096 @t1419)) % 3.41/3.69 (define @t3130 () (tptp.hAPP @t3129 @t1261)) % 3.41/3.69 (define @t3131 () (tptp.hAPP @t3112 @t2521)) % 3.41/3.69 (define @t3132 () (tptp.hAPP @t3129 @t2521)) % 3.41/3.69 (define @t3133 () (tptp.hAPP @t3112 @t3132)) % 3.41/3.69 (define @t3134 () (tptp.hBOOL (tptp.hAPP @t2726 @t3113))) % 3.41/3.69 (define @t3135 () (@list @t55 @t1419 @t1261 @t10)) % 3.41/3.69 (define @t3136 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t66)) % 3.41/3.69 (define @t3137 () (tptp.hAPP @t3136 @t249)) % 3.41/3.69 (define @t3138 () (tptp.class_Lattices_Osemilattice__sup @t66)) % 3.41/3.69 (define @t3139 () (tptp.hAPP @t3136 @t101)) % 3.41/3.69 (define @t3140 () (= (tptp.hAPP @t3139 @t101) @t101)) % 3.41/3.69 (define @t3141 () (tptp.hAPP @t3136 @t272)) % 3.41/3.69 (define @t3142 () (tptp.hAPP @t3137 @t272)) % 3.41/3.69 (define @t3143 () (tptp.hAPP @t3136 @t100)) % 3.41/3.69 (define @t3144 () (tptp.hAPP @t3143 @t101)) % 3.41/3.69 (define @t3145 () (tptp.hAPP @t3139 @t100)) % 3.41/3.69 (define @t3146 () (= @t3145 @t3144)) % 3.41/3.69 (define @t3147 () (tptp.class_Lattices_Olattice @t66)) % 3.41/3.69 (define @t3148 () (= (tptp.hAPP @t3139 @t3145) @t3145)) % 3.41/3.69 (define @t3149 () (tptp.hAPP @t3137 (tptp.hAPP @t3141 @t87))) % 3.41/3.69 (define @t3150 () (tptp.hAPP @t3139 @t306)) % 3.41/3.69 (define @t3151 () (tptp.hAPP @t3143 @t306)) % 3.41/3.69 (define @t3152 () (tptp.hAPP @t3139 @t3151)) % 3.41/3.69 (define @t3153 () (= @t3152 (tptp.hAPP @t3143 @t3150))) % 3.41/3.69 (define @t3154 () (= (tptp.hAPP (tptp.hAPP @t3136 @t3145) @t306) @t3152)) % 3.41/3.69 (define @t3155 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t10)) % 3.41/3.69 (define @t3156 () (tptp.class_Lattices_Olattice @t10)) % 3.41/3.69 (define @t3157 () (@list @t349 @t1 @t2 @t92 @t10)) % 3.41/3.69 (define @t3158 () (tptp.hAPP @t2524 @t1261)) % 3.41/3.69 (define @t3159 () (tptp.hAPP @t3112 @t3158)) % 3.41/3.69 (define @t3160 () (@list @t1261 @t1419 @t10)) % 3.41/3.69 (define @t3161 () (tptp.hAPP @t2524 @t2521)) % 3.41/3.69 (define @t3162 () (tptp.hAPP @t2528 @t2521)) % 3.41/3.69 (define @t3163 () (tptp.class_Lattices_Osemilattice__sup @t10)) % 3.41/3.69 (define @t3164 () (tptp.hAPP @t3117 @t610)) % 3.41/3.69 (define @t3165 () (tptp.hAPP @t3117 @t349)) % 3.41/3.69 (define @t3166 () (tptp.hAPP @t908 @t3142)) % 3.41/3.69 (define @t3167 () (tptp.hBOOL (tptp.hAPP @t3166 @t101))) % 3.41/3.69 (define @t3168 () (tptp.hBOOL (tptp.hAPP @t914 @t3142))) % 3.41/3.69 (define @t3169 () (tptp.hAPP @t3155 @t349)) % 3.41/3.69 (define @t3170 () (tptp.hAPP @t3169 @t610)) % 3.41/3.69 (define @t3171 () (tptp.hBOOL (tptp.hAPP @t961 @t3145))) % 3.41/3.69 (define @t3172 () (tptp.hBOOL (tptp.hAPP @t914 @t3145))) % 3.41/3.69 (define @t3173 () (= @t3113 @t1419)) % 3.41/3.69 (define @t3174 () (tptp.hAPP @t2310 @t3113)) % 3.41/3.69 (define @t3175 () (@list @t1419 @t2521 @t1261 @t10)) % 3.41/3.69 (define @t3176 () (tptp.hAPP @t3096 @t2521)) % 3.41/3.69 (define @t3177 () (tptp.hBOOL (tptp.hAPP @t2438 @t2527))) % 3.41/3.69 (define @t3178 () (@list @t2527 @t1419 @t2521 @t1261 @t10)) % 3.41/3.69 (define @t3179 () (tptp.hBOOL (tptp.hAPP @t550 @t3142))) % 3.41/3.69 (define @t3180 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t1477 @t1524)) % 3.41/3.69 (define @t3181 () (tptp.hAPP @t2758 @t1477)) % 3.41/3.69 (define @t3182 () (tptp.hAPP @t3096 @t3181)) % 3.41/3.69 (define @t3183 () (tptp.hAPP @t2758 @t1524)) % 3.41/3.69 (define @t3184 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t1477 @t1524)) % 3.41/3.69 (define @t3185 () (tptp.hBOOL (tptp.hAPP @t3099 @t1524))) % 3.41/3.69 (define @t3186 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t314) @t1524)) % 3.41/3.69 (define @t3187 () (tptp.hAPP @t3102 @t314)) % 3.41/3.69 (define @t3188 () (tptp.hAPP @t3096 @t3187)) % 3.41/3.69 (define @t3189 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2184)) % 3.41/3.69 (define @t3190 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t314 @t1524)) % 3.41/3.69 (define @t3191 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t1477 @t314)) % 3.41/3.69 (define @t3192 () (tptp.hAPP @t3096 @t3191)) % 3.41/3.69 (define @t3193 () (tptp.hAPP @t3096 @t2533)) % 3.41/3.69 (define @t3194 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1477 @t1524)) % 3.41/3.69 (define @t3195 () (tptp.hAPP @t3089 @t316)) % 3.41/3.69 (define @t3196 () (tptp.hAPP @t2734 @t943)) % 3.41/3.69 (define @t3197 () (tptp.hAPP @t3048 @t1477)) % 3.41/3.69 (define @t3198 () (tptp.hAPP @t3048 @t1524)) % 3.41/3.69 (define @t3199 () (tptp.hAPP @t3048 @t316)) % 3.41/3.69 (define @t3200 () (tptp.hAPP @t3117 @t316)) % 3.41/3.69 (define @t3201 () (tptp.c_SetInterval_Oord__class_OatLeast @t10)) % 3.41/3.69 (define @t3202 () (tptp.hAPP @t3201 @t1524)) % 3.41/3.69 (define @t3203 () (tptp.hAPP @t3096 @t3184)) % 3.41/3.69 (define @t3204 () (tptp.hAPP @t3201 @t1477)) % 3.41/3.69 (define @t3205 () (@var "V_Procs_2" $$unsorted)) % 3.41/3.69 (define @t3206 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t3207 () (tptp.tc_fun @t10 @t3206)) % 3.41/3.69 (define @t3208 () (tptp.tc_fun @t3207 @t13)) % 3.41/3.69 (define @t3209 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t3208) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3207 (tptp.tc_fun tptp.tc_Com_Ocom @t3208) tptp.tc_Com_Opname) @t58) @t55))) % 3.41/3.69 (define @t3210 () (tptp.c_COMBS tptp.tc_Com_Opname @t3207 @t13)) % 3.41/3.69 (define @t3211 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t13 (tptp.hAPP (tptp.hAPP @t3210 (tptp.hAPP @t3209 tptp.c_Com_Ocom_OBODY)) @t51)) @t3205)) % 3.41/3.69 (define @t3212 () (tptp.tc_fun @t13 tptp.tc_HOL_Obool)) % 3.41/3.69 (define @t3213 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3212) @t16) @t3211) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t13 (tptp.hAPP (tptp.hAPP @t3210 (tptp.hAPP @t3209 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t202) tptp.c_Com_Obody))) @t51)) @t3205))) % 3.41/3.69 (define @t3214 () (@var "V_M_2" $$unsorted)) % 3.41/3.69 (define @t3215 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2309)) % 3.41/3.69 (define @t3216 () (tptp.hAPP @t3215 @t3090)) % 3.41/3.69 (define @t3217 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t12)) % 3.41/3.69 (define @t3218 () (tptp.c_Orderings_Oord__class_Oless__eq @t3212)) % 3.41/3.69 (define @t3219 () (tptp.hAPP @t3218 @t12)) % 3.41/3.69 (define @t3220 () (@var "V_ts_H_2" $$unsorted)) % 3.41/3.69 (define @t3221 () (@var "V_G_H_2" $$unsorted)) % 3.41/3.69 (define @t3222 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t3221 @t12)) % 3.41/3.69 (define @t3223 () (@list @t16 @t12 @t3221 @t10)) % 3.41/3.69 (define @t3224 () (tptp.hAPP @t3201 @t610)) % 3.41/3.69 (define @t3225 () (tptp.hAPP @t3201 @t349)) % 3.41/3.69 (define @t3226 () (tptp.hAPP @t1419 @t4)) % 3.41/3.69 (define @t3227 () (tptp.hAPP @t3226 @t21)) % 3.41/3.69 (define @t3228 () (tptp.hBOOL @t3227)) % 3.41/3.69 (define @t3229 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t2682)) % 3.41/3.69 (define @t3230 () (tptp.hAPP @t3229 @t1261)) % 3.41/3.69 (define @t3231 () (tptp.hAPP @t3230 @t1419)) % 3.41/3.69 (define @t3232 () (tptp.hBOOL (tptp.hAPP @t3231 @t21))) % 3.41/3.69 (define @t3233 () (@list @t21 @t1419 @t1261 @t92 @t10)) % 3.41/3.69 (define @t3234 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t3235 () (tptp.hAPP @t3234 @t316)) % 3.41/3.69 (define @t3236 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t3237 () (tptp.hAPP @t3236 @t943)) % 3.41/3.69 (define @t3238 () (tptp.hAPP @t2758 @t316)) % 3.41/3.69 (define @t3239 () (tptp.hAPP @t3201 @t316)) % 3.41/3.69 (define @t3240 () (tptp.hAPP @t3096 @t3103)) % 3.41/3.69 (define @t3241 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t92)) % 3.41/3.69 (define @t3242 () (tptp.hAPP @t3241 @t1261)) % 3.41/3.69 (define @t3243 () (tptp.hAPP @t3242 @t2)) % 3.41/3.69 (define @t3244 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t92)) % 3.41/3.69 (define @t3245 () (@list @t2 @t1419 @t1261 @t10 @t92)) % 3.41/3.69 (define @t3246 () (tptp.tc_fun @t2309 @t2309)) % 3.41/3.69 (define @t3247 () (tptp.c_COMBB @t2309 @t3246 @t92)) % 3.41/3.69 (define @t3248 () (tptp.c_COMBC @t92 @t2309 @t2309)) % 3.41/3.69 (define @t3249 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t2309)) % 3.41/3.69 (define @t3250 () (tptp.hAPP @t3249 @t2521)) % 3.41/3.69 (define @t3251 () (tptp.hAPP @t3250 (tptp.hAPP (tptp.hAPP @t3248 (tptp.hAPP (tptp.hAPP @t3247 @t2522) @t1261)) @t1419))) % 3.41/3.69 (define @t3252 () (tptp.hAPP @t3250 @t1261)) % 3.41/3.69 (define @t3253 () (tptp.hAPP (tptp.hAPP @t2522 @t3252) @t1419)) % 3.41/3.69 (define @t3254 () (@list @t1419 @t1261 @t2521 @t92 @t10)) % 3.41/3.69 (define @t3255 () (@list @t1419 @t1261 @t2521 @t10 @t92)) % 3.41/3.69 (define @t3256 () (tptp.hAPP @t2826 @t349)) % 3.41/3.69 (define @t3257 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t10)) % 3.41/3.69 (define @t3258 () (tptp.hAPP @t3257 @t1261)) % 3.41/3.69 (define @t3259 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t10)) % 3.41/3.69 (define @t3260 () (@list @t349 @t2 @t1261 @t530 @t92 @t10)) % 3.41/3.69 (define @t3261 () (tptp.hAPP @t2725 @t2967)) % 3.41/3.69 (define @t3262 () (tptp.c_member @t92)) % 3.41/3.69 (define @t3263 () (tptp.hAPP @t3262 @t4)) % 3.41/3.69 (define @t3264 () (tptp.hBOOL (tptp.hAPP @t3263 @t1261))) % 3.41/3.69 (define @t3265 () (tptp.hAPP @t3249 @t1261)) % 3.41/3.69 (define @t3266 () (tptp.hAPP @t3265 @t1419)) % 3.41/3.69 (define @t3267 () (tptp.c_COMBB @t1263 @t10 @t530)) % 3.41/3.69 (define @t3268 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t530 @t10) @t1419)) % 3.41/3.69 (define @t3269 () (tptp.c_COMBB @t2828 @t10 @t92)) % 3.41/3.69 (define @t3270 () (@list @t2 @t1419 @t530 @t1261 @t92 @t10)) % 3.41/3.69 (define @t3271 () (tptp.tc_fun @t92 @t2309)) % 3.41/3.69 (define @t3272 () (tptp.c_COMBB @t2682 (tptp.tc_fun @t3271 @t2309) @t530)) % 3.41/3.69 (define @t3273 () (tptp.c_COMBC @t530 @t3271 @t2309)) % 3.41/3.69 (define @t3274 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t530 @t2309)) % 3.41/3.69 (define @t3275 () (tptp.hAPP @t3274 @t1261)) % 3.41/3.69 (define @t3276 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t530 @t2682) @t1261) @t1419)) % 3.41/3.69 (define @t3277 () (@list @t2521 @t1419 @t1261 @t530 @t10 @t92)) % 3.41/3.69 (define @t3278 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t2413)) % 3.41/3.69 (define @t3279 () (tptp.hAPP (tptp.hAPP @t3278 @t1261) @t1419)) % 3.41/3.69 (define @t3280 () (tptp.tc_fun @t530 @t2309)) % 3.41/3.69 (define @t3281 () (tptp.c_COMBB @t2413 (tptp.tc_fun @t3280 @t2309) @t92)) % 3.41/3.69 (define @t3282 () (tptp.c_COMBC @t92 @t3280 @t2309)) % 3.41/3.69 (define @t3283 () (@list @t2521 @t1419 @t530 @t1261 @t10 @t92)) % 3.41/3.69 (define @t3284 () (tptp.hAPP @t3214 @t4)) % 3.41/3.69 (define @t3285 () (and @t3259 @t622)) % 3.41/3.69 (define @t3286 () (@var "V_I_2" $$unsorted)) % 3.41/3.69 (define @t3287 () (tptp.hBOOL (tptp.hAPP @t3263 @t3286))) % 3.41/3.69 (define @t3288 () (tptp.hAPP @t3249 @t3286)) % 3.41/3.69 (define @t3289 () (tptp.hAPP @t3288 @t1261)) % 3.41/3.69 (define @t3290 () (@list @t1419 @t1261 @t3286 @t92 @t10)) % 3.41/3.69 (define @t3291 () (tptp.hAPP (tptp.c_Set_Oimage @t92 @t530 @t2) @t1261)) % 3.41/3.69 (define @t3292 () (tptp.hAPP @t3274 @t3291)) % 3.41/3.69 (define @t3293 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t530 @t2309 @t92) @t1419) @t2)) % 3.41/3.69 (define @t3294 () (@list @t2 @t1419 @t530 @t1261 @t10 @t92)) % 3.41/3.69 (define @t3295 () (tptp.c_COMBB @t2682 @t2309 @t530)) % 3.41/3.69 (define @t3296 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t2309 @t530) @t1419) @t2)) % 3.41/3.69 (define @t3297 () (tptp.hAPP (tptp.c_Set_Oimage @t530 @t92 @t2) @t1261)) % 3.41/3.69 (define @t3298 () (@list @t1419 @t1261 @t2 @t530 @t10 @t92)) % 3.41/3.69 (define @t3299 () (tptp.hAPP (tptp.hAPP @t3247 @t3096) @t1261)) % 3.41/3.69 (define @t3300 () (tptp.c_COMBS @t92 @t2309 @t2309)) % 3.41/3.69 (define @t3301 () (tptp.hAPP (tptp.hAPP @t3300 @t3299) @t1419)) % 3.41/3.69 (define @t3302 () (@list @t1419 @t1261 @t3286 @t10 @t92)) % 3.41/3.69 (define @t3303 () (tptp.hAPP @t3249 @t1419)) % 3.41/3.69 (define @t3304 () (@list @t3214 @t1419 @t1261 @t10 @t92)) % 3.41/3.69 (define @t3305 () (tptp.c_Orderings_Otop__class_Otop @t2184)) % 3.41/3.69 (define @t3306 () (tptp.hAPP @t2731 @t20)) % 3.41/3.69 (define @t3307 () (tptp.hAPP @t2731 @t21)) % 3.41/3.69 (define @t3308 () (tptp.hBOOL (tptp.hAPP @t3307 @t809))) % 3.41/3.69 (define @t3309 () (tptp.hAPP @t2731 @t168)) % 3.41/3.69 (define @t3310 () (tptp.hBOOL (tptp.hAPP @t3306 @t168))) % 3.41/3.69 (define @t3311 () (tptp.hBOOL (tptp.hAPP @t3309 @t21))) % 3.41/3.69 (define @t3312 () (not @t3311)) % 3.41/3.69 (define @t3313 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2731 @t20 @t809)) % 3.41/3.69 (define @t3314 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2731 @t168 @t21)) % 3.41/3.69 (define @t3315 () (@list @t809 @t20 @t21 @t168)) % 3.41/3.69 (define @t3316 () (tptp.hAPP (tptp.hAPP @t581 @t1183) @t686)) % 3.41/3.69 (define @t3317 () (tptp.c_Wellfounded_Oaccp @t2176 tptp.c_List_Oupto__rel)) % 3.41/3.69 (define @t3318 () (tptp.c_Orderings_Otop__class_Otop @t2309)) % 3.41/3.69 (define @t3319 () (@list @t1419 @t10)) % 3.41/3.69 (define @t3320 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 3.41/3.69 (define @t3321 () (@list @t349 @t92 @t10)) % 3.41/3.69 (define @t3322 () (tptp.c_Orderings_Otop__class_Otop @t2682)) % 3.41/3.69 (define @t3323 () (tptp.c_Set_Oimage @t92 @t530 @t1)) % 3.41/3.69 (define @t3324 () (tptp.c_Set_Oimage @t530 @t10 @t2)) % 3.41/3.69 (define @t3325 () (tptp.c_Orderings_Otop__class_Otop @t66)) % 3.41/3.69 (define @t3326 () (tptp.class_Lattices_Obounded__lattice__top @t66)) % 3.41/3.69 (define @t3327 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2184) @t3305)) % 3.41/3.69 (define @t3328 () (tptp.hAPP @t3136 @t768)) % 3.41/3.69 (define @t3329 () (tptp.hAPP @t3215 @t3305)) % 3.41/3.69 (define @t3330 () (tptp.hAPP @t3329 @t1261)) % 3.41/3.69 (define @t3331 () (tptp.tc_fun tptp.tc_Nat_Onat @t2309)) % 3.41/3.69 (define @t3332 () (tptp.c_Groups_Ouminus__class_Ouminus @t2682)) % 3.41/3.69 (define @t3333 () (tptp.hAPP @t3332 @t1261)) % 3.41/3.69 (define @t3334 () (tptp.hAPP @t3008 @t3322)) % 3.41/3.69 (define @t3335 () (= @t3334 @t3318)) % 3.41/3.69 (define @t3336 () (@list @t1261 @t2 @t10 @t92)) % 3.41/3.69 (define @t3337 () (tptp.hAPP @t3329 @t1419)) % 3.41/3.69 (define @t3338 () (tptp.hAPP @t2310 @t3330)) % 3.41/3.69 (define @t3339 () (tptp.hAPP (tptp.hAPP @t3215 (tptp.hAPP @t2938 (tptp.hAPP (tptp.hAPP @t260 @t9) @t316))) @t1419)) % 3.41/3.69 (define @t3340 () (tptp.hAPP (tptp.hAPP @t3215 (tptp.hAPP @t2938 @t9)) @t1261)) % 3.41/3.69 (define @t3341 () (tptp.hAPP @t2310 @t3340)) % 3.41/3.69 (define @t3342 () (@list @t1419 @t316 @t1261 @t10)) % 3.41/3.69 (define @t3343 () (@list @t2521 @t1261 @t10)) % 3.41/3.69 (define @t3344 () (@list @t169 @t10)) % 3.41/3.69 (define @t3345 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 3.41/3.69 (define @t3346 () (tptp.hAPP @t3345 @t199)) % 3.41/3.69 (define @t3347 () (tptp.hAPP @t2919 @t1419)) % 3.41/3.69 (define @t3348 () (tptp.hAPP @t1397 @t2920)) % 3.41/3.69 (define @t3349 () (tptp.c_Finite__Set_Ofinite @t10)) % 3.41/3.69 (define @t3350 () (tptp.hBOOL (tptp.hAPP @t3349 @t1419))) % 3.41/3.70 (define @t3351 () (tptp.hAPP @t3042 @t1419)) % 3.41/3.70 (define @t3352 () (tptp.hAPP @t3042 @t1261)) % 3.41/3.70 (define @t3353 () (tptp.c_Groups_Ominus__class_Ominus @t92)) % 3.41/3.70 (define @t3354 () (tptp.hAPP @t3353 @t3352)) % 3.41/3.70 (define @t3355 () (tptp.hBOOL (tptp.hAPP @t3349 @t1261))) % 3.41/3.70 (define @t3356 () (tptp.class_Groups_Oab__group__add @t92)) % 3.41/3.70 (define @t3357 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 3.41/3.70 (define @t3358 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 3.41/3.70 (define @t3359 () (tptp.hAPP @t2734 @t316)) % 3.41/3.70 (define @t3360 () (tptp.c_Set_Oinsert @t10)) % 3.41/3.70 (define @t3361 () (tptp.hAPP @t3360 @t168)) % 3.41/3.70 (define @t3362 () (tptp.hAPP @t3361 @t1419)) % 3.41/3.70 (define @t3363 () (@list @t1419 @t168 @t1261 @t10)) % 3.41/3.70 (define @t3364 () (tptp.hAPP @t3360 @t21)) % 3.41/3.70 (define @t3365 () (tptp.hAPP @t3364 @t1419)) % 3.41/3.70 (define @t3366 () (tptp.hAPP @t2310 @t2521)) % 3.41/3.70 (define @t3367 () (@var "V_N_2" $$unsorted)) % 3.41/3.70 (define @t3368 () (tptp.hBOOL (tptp.hAPP @t2932 @t3367))) % 3.41/3.70 (define @t3369 () (tptp.hBOOL (tptp.hAPP @t3357 @t3367))) % 3.41/3.70 (define @t3370 () (@list @t3367)) % 3.41/3.70 (define @t3371 () (= @t610 @t349)) % 3.41/3.70 (define @t3372 () (tptp.hAPP @t3360 @t610)) % 3.41/3.70 (define @t3373 () (tptp.hAPP @t3372 @t1261)) % 3.41/3.70 (define @t3374 () (tptp.hAPP @t3360 @t349)) % 3.41/3.70 (define @t3375 () (tptp.hAPP @t3374 @t1261)) % 3.41/3.70 (define @t3376 () (@list @t1261 @t610 @t349 @t10)) % 3.41/3.70 (define @t3377 () (@list @t1261 @t349 @t10)) % 3.41/3.70 (define @t3378 () (tptp.c_Set_Oinsert @t92)) % 3.41/3.70 (define @t3379 () (tptp.hAPP @t3378 @t168)) % 3.41/3.70 (define @t3380 () (tptp.hAPP @t3379 @t1419)) % 3.41/3.70 (define @t3381 () (tptp.c_Groups_Ozero__class_Ozero @t92)) % 3.41/3.70 (define @t3382 () (tptp.hAPP @t3041 @t1261)) % 3.41/3.70 (define @t3383 () (not @t3355)) % 3.41/3.70 (define @t3384 () (=> @t3383 (= @t3382 @t3381))) % 3.41/3.70 (define @t3385 () (@list @t1 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3386 () (@list @t2 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3387 () (tptp.hAPP @t3345 @t316)) % 3.41/3.70 (define @t3388 () (tptp.hAPP @t3345 @t943)) % 3.41/3.70 (define @t3389 () (@var "V_F_2" $$unsorted)) % 3.41/3.70 (define @t3390 () (tptp.hBOOL (tptp.hAPP @t2726 @t3389))) % 3.41/3.70 (define @t3391 () (tptp.hBOOL (tptp.hAPP @t3349 @t3389))) % 3.41/3.70 (define @t3392 () (@list @t2 @t3389 @t10)) % 3.41/3.70 (define @t3393 () (tptp.hAPP @t1419 @t168)) % 3.41/3.70 (define @t3394 () (tptp.hAPP @t3379 @t1261)) % 3.41/3.70 (define @t3395 () (@list @t1419 @t1261 @t168 @t10 @t92)) % 3.41/3.70 (define @t3396 () (tptp.c_Groups_Oplus__class_Oplus @t92)) % 3.41/3.70 (define @t3397 () (tptp.hAPP @t3396 @t3382)) % 3.41/3.70 (define @t3398 () (tptp.tc_fun @t92 @t92)) % 3.41/3.70 (define @t3399 () (tptp.c_COMBB @t92 @t3398 @t10)) % 3.41/3.70 (define @t3400 () (tptp.c_COMBS @t10 @t92 @t92)) % 3.41/3.70 (define @t3401 () (@list @t205 @t1 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3402 () (tptp.hAPP @t2 @t2967)) % 3.41/3.70 (define @t3403 () (= @t4 @t2967)) % 3.41/3.70 (define @t3404 () (not @t3403)) % 3.41/3.70 (define @t3405 () (tptp.hBOOL (tptp.hAPP @t3261 @t1261))) % 3.41/3.70 (define @t3406 () (forall @t2975 (=> @t3405 (=> @t3404 (= @t3402 @t199))))) % 3.41/3.70 (define @t3407 () (= @t6 @t773)) % 3.41/3.70 (define @t3408 () (tptp.hAPP @t3064 @t1419)) % 3.41/3.70 (define @t3409 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t3065) @t3408))) % 3.41/3.70 (define @t3410 () (tptp.hAPP @t3064 @t2529)) % 3.41/3.70 (define @t3411 () (tptp.hAPP @t1397 @t3065)) % 3.41/3.70 (define @t3412 () (tptp.hAPP @t3411 @t3408)) % 3.41/3.70 (define @t3413 () (tptp.hBOOL (tptp.hAPP @t3349 @t2529))) % 3.41/3.70 (define @t3414 () (tptp.hAPP @t3361 @t1261)) % 3.41/3.70 (define @t3415 () (tptp.hBOOL (tptp.hAPP @t3349 @t3414))) % 3.41/3.70 (define @t3416 () (@list @t168 @t1261 @t10)) % 3.41/3.70 (define @t3417 () (tptp.c_Set_Oimage @t10 @t92 @t205)) % 3.41/3.70 (define @t3418 () (tptp.c_Finite__Set_Ofinite @t92)) % 3.41/3.70 (define @t3419 () (@list @t205 @t92 @t3389 @t10)) % 3.41/3.70 (define @t3420 () (tptp.tc_fun @t2655 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3421 () (tptp.c_Orderings_Otop__class_Otop @t3420)) % 3.41/3.70 (define @t3422 () (tptp.class_Finite__Set_Ofinite @t10)) % 3.41/3.70 (define @t3423 () (@list @t1261 @t168 @t10)) % 3.41/3.70 (define @t3424 () (tptp.tc_fun @t2388 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3425 () (tptp.c_Orderings_Otop__class_Otop @t3424)) % 3.41/3.70 (define @t3426 () (tptp.c_Finite__Set_Ofinite @t2388)) % 3.41/3.70 (define @t3427 () (tptp.hBOOL (tptp.hAPP @t3418 @t3322))) % 3.41/3.70 (define @t3428 () (tptp.hBOOL (tptp.hAPP @t3349 @t3318))) % 3.41/3.70 (define @t3429 () (@list @t92 @t10)) % 3.41/3.70 (define @t3430 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t956 tptp.tc_HOL_Obool))) % 3.41/3.70 (define @t3431 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t956) @t3430))) % 3.41/3.70 (define @t3432 () (tptp.tc_fun @t2622 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3433 () (tptp.c_Orderings_Otop__class_Otop @t3432)) % 3.41/3.70 (define @t3434 () (tptp.c_Finite__Set_Ofinite @t2622)) % 3.41/3.70 (define @t3435 () (tptp.c_Finite__Set_Ofinite @t2655)) % 3.41/3.70 (define @t3436 () (tptp.hBOOL (tptp.hAPP @t3349 @t16))) % 3.41/3.70 (define @t3437 () (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t3096 @t3389) @t16)))) % 3.41/3.70 (define @t3438 () (@list @t16 @t3389 @t10)) % 3.41/3.70 (define @t3439 () (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP @t3418 @t3226))))) % 3.41/3.70 (define @t3440 () (tptp.hBOOL (tptp.hAPP @t3418 @t3231))) % 3.41/3.70 (define @t3441 () (@list @t1419 @t92 @t1261 @t10)) % 3.41/3.70 (define @t3442 () (tptp.hBOOL (tptp.hAPP @t3418 @t1419))) % 3.41/3.70 (define @t3443 () (tptp.hAPP @t3009 @t1419)) % 3.41/3.70 (define @t3444 () (tptp.hBOOL (tptp.hAPP @t3443 @t3014))) % 3.41/3.70 (define @t3445 () (tptp.hAPP @t2528 @t3362)) % 3.41/3.70 (define @t3446 () (= @t3065 @t199)) % 3.41/3.70 (define @t3447 () (=> @t3383 @t3446)) % 3.41/3.70 (define @t3448 () (tptp.hAPP @t3064 @t3318)) % 3.41/3.70 (define @t3449 () (tptp.c_Set_Oimage @t92 @t10 @t1)) % 3.41/3.70 (define @t3450 () (tptp.hBOOL (tptp.hAPP @t405 @t3065))) % 3.41/3.70 (define @t3451 () (tptp.hAPP @t3064 @t3375)) % 3.41/3.70 (define @t3452 () (tptp.hAPP @t915 @t3065)) % 3.41/3.70 (define @t3453 () (@list @t349 @t1261 @t10)) % 3.41/3.70 (define @t3454 () (tptp.hAPP @t3068 @t3014)) % 3.41/3.70 (define @t3455 () (@list @t2 @t92 @t1261 @t10)) % 3.41/3.70 (define @t3456 () (@var "V_Abs_2" $$unsorted)) % 3.41/3.70 (define @t3457 () (@var "V_Rep_2" $$unsorted)) % 3.41/3.70 (define @t3458 () (tptp.c_Typedef_Otype__definition @t10 @t92 @t3457 @t3456 @t1261)) % 3.41/3.70 (define @t3459 () (@list @t1261 @t3456 @t3457 @t92 @t10)) % 3.41/3.70 (define @t3460 () (tptp.c_Orderings_Obot__class_Obot @t2184)) % 3.41/3.70 (define @t3461 () (tptp.hAPP @t2542 @t1397)) % 3.41/3.70 (define @t3462 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3461 @t20)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t349) @t610))) % 3.41/3.70 (define @t3463 () (tptp.hAPP @t3346 @t3460)) % 3.41/3.70 (define @t3464 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t20) @t610))) % 3.41/3.70 (define @t3465 () (tptp.c_Orderings_Obot__class_Obot @t2309)) % 3.41/3.70 (define @t3466 () (tptp.hAPP @t3364 @t3465)) % 3.41/3.70 (define @t3467 () (tptp.hAPP @t3361 @t3465)) % 3.41/3.70 (define @t3468 () (tptp.hAPP @t3360 @t20)) % 3.41/3.70 (define @t3469 () (tptp.hAPP @t3361 @t3466)) % 3.41/3.70 (define @t3470 () (= @t1419 @t3465)) % 3.41/3.70 (define @t3471 () (= @t1261 @t3465)) % 3.41/3.70 (define @t3472 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 3.41/3.70 (define @t3473 () (tptp.c_Orderings_Obot__class_Obot @t2682)) % 3.41/3.70 (define @t3474 () (= @t1261 @t3473)) % 3.41/3.70 (define @t3475 () (@list @t2 @t10 @t92)) % 3.41/3.70 (define @t3476 () (tptp.c_Orderings_Obot__class_Obot @t66)) % 3.41/3.70 (define @t3477 () (tptp.c_COMBK @t92 @t10)) % 3.41/3.70 (define @t3478 () (tptp.hAPP @t3477 @t3214)) % 3.41/3.70 (define @t3479 () (not @t3471)) % 3.41/3.70 (define @t3480 () (@list @t3214 @t10 @t1261 @t92)) % 3.41/3.70 (define @t3481 () (forall @t8 (=> @t3264 (= @t3226 @t3465)))) % 3.41/3.70 (define @t3482 () (@list @t1419 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3483 () (tptp.c_COMBK @t2682 @t10)) % 3.41/3.70 (define @t3484 () (tptp.hAPP @t3483 @t20)) % 3.41/3.70 (define @t3485 () (tptp.hAPP @t3230 @t3484)) % 3.41/3.70 (define @t3486 () (@list @t20 @t92 @t10 @t1261)) % 3.41/3.70 (define @t3487 () (tptp.c_COMBK @t2309 @t92)) % 3.41/3.70 (define @t3488 () (@list @t1419 @t1261 @t92 @t10)) % 3.41/3.70 (define @t3489 () (tptp.class_Lattices_Obounded__lattice__bot @t66)) % 3.41/3.70 (define @t3490 () (@list @t1 @t92 @t10)) % 3.41/3.70 (define @t3491 () (@list @t2 @t92 @t10)) % 3.41/3.70 (define @t3492 () (tptp.hAPP @t3374 @t3465)) % 3.41/3.70 (define @t3493 () (= @t2909 @t3465)) % 3.41/3.70 (define @t3494 () (tptp.hAPP @t2528 @t3467)) % 3.41/3.70 (define @t3495 () (tptp.hAPP @t3361 @t3494)) % 3.41/3.70 (define @t3496 () (= @t2944 @t3465)) % 3.41/3.70 (define @t3497 () (not @t436)) % 3.41/3.70 (define @t3498 () (and @t703 @t286)) % 3.41/3.70 (define @t3499 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t316 @t1477)) % 3.41/3.70 (define @t3500 () (= @t3499 @t3465)) % 3.41/3.70 (define @t3501 () (tptp.hBOOL (tptp.hAPP @t3108 @t316))) % 3.41/3.70 (define @t3502 () (@list @t316 @t1477 @t10)) % 3.41/3.70 (define @t3503 () (tptp.hAPP @t434 @t316)) % 3.41/3.70 (define @t3504 () (not (tptp.hBOOL (tptp.hAPP @t3503 @t1477)))) % 3.41/3.70 (define @t3505 () (@list @t1477 @t316 @t10)) % 3.41/3.70 (define @t3506 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t92 (tptp.hAPP @t3477 @t20)) @t1261)) % 3.41/3.70 (define @t3507 () (= @t3506 (tptp.hAPP (tptp.hAPP @t3378 @t20) @t3473))) % 3.41/3.70 (define @t3508 () (tptp.c_COMBB @t2682 @t2682 @t10)) % 3.41/3.70 (define @t3509 () (tptp.hAPP (tptp.hAPP @t3508 @t3379) @t1419)) % 3.41/3.70 (define @t3510 () (tptp.hAPP @t3229 @t2521)) % 3.41/3.70 (define @t3511 () (tptp.hAPP @t3510 @t3509)) % 3.41/3.70 (define @t3512 () (tptp.hAPP @t3510 @t1419)) % 3.41/3.70 (define @t3513 () (tptp.hAPP @t3379 @t3512)) % 3.41/3.70 (define @t3514 () (= @t2521 @t3465)) % 3.41/3.70 (define @t3515 () (not @t3514)) % 3.41/3.70 (define @t3516 () (tptp.hAPP @t3379 @t3473)) % 3.41/3.70 (define @t3517 () (@list @t1419 @t168 @t92 @t10 @t2521)) % 3.41/3.70 (define @t3518 () (tptp.c_COMBC @t10 @t2309 @t2309)) % 3.41/3.70 (define @t3519 () (tptp.hAPP (tptp.hAPP @t3518 @t3360) @t3465)) % 3.41/3.70 (define @t3520 () (= @t3314 @t3460)) % 3.41/3.70 (define @t3521 () (tptp.hBOOL (tptp.hAPP @t3307 @t168))) % 3.41/3.70 (define @t3522 () (tptp.c_COMBB @t2682 @t2716 @t10)) % 3.41/3.70 (define @t3523 () (tptp.hAPP (tptp.hAPP @t3522 @t3123) @t1261)) % 3.41/3.70 (define @t3524 () (tptp.hAPP @t3510 (tptp.hAPP (tptp.hAPP @t2718 @t3523) @t1419))) % 3.41/3.70 (define @t3525 () (tptp.hAPP (tptp.hAPP @t3123 (tptp.hAPP @t3510 @t1261)) @t1419)) % 3.41/3.70 (define @t3526 () (@list @t1419 @t1261 @t92 @t10 @t2521)) % 3.41/3.70 (define @t3527 () (tptp.hAPP @t3510 (tptp.hAPP (tptp.hAPP @t3508 @t3124) @t1419))) % 3.41/3.70 (define @t3528 () (tptp.hAPP @t3124 @t3512)) % 3.41/3.70 (define @t3529 () (tptp.hAPP (tptp.hAPP @t3360 @t316) @t3465)) % 3.41/3.70 (define @t3530 () (tptp.hAPP @t3457 @t349)) % 3.41/3.70 (define @t3531 () (@list @t349 @t1261 @t3456 @t3457 @t92 @t10)) % 3.41/3.70 (define @t3532 () (@list @t610 @t349 @t1261 @t3456 @t3457 @t92 @t10)) % 3.41/3.70 (define @t3533 () (tptp.hAPP (tptp.hAPP @t3345 @t168) @t3460)) % 3.41/3.70 (define @t3534 () (tptp.c_Groups_Ominus__class_Ominus @t2184)) % 3.41/3.70 (define @t3535 () (tptp.hAPP (tptp.hAPP @t3360 @t1524) @t3465)) % 3.41/3.70 (define @t3536 () (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t3360 @t1477) @t3465))) % 3.41/3.70 (define @t3537 () (tptp.hAPP @t2528 @t3492)) % 3.41/3.70 (define @t3538 () (tptp.hAPP @t3396 @t969)) % 3.41/3.70 (define @t3539 () (tptp.hAPP @t3538 (tptp.hAPP @t3041 @t3537))) % 3.41/3.70 (define @t3540 () (tptp.hAPP @t3041 @t3375)) % 3.41/3.70 (define @t3541 () (@list @t349 @t1 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3542 () (tptp.hAPP @t3064 @t3537)) % 3.41/3.70 (define @t3543 () (tptp.hAPP tptp.c_Nat_OSuc @t3542)) % 3.41/3.70 (define @t3544 () (tptp.hAPP @t1088 @t3542)) % 3.41/3.70 (define @t3545 () (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t10)) % 3.41/3.70 (define @t3546 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t1477) @t316))) % 3.41/3.70 (define @t3547 () (@list @t316 @t1477)) % 3.41/3.70 (define @t3548 () (tptp.hAPP @t354 @t349)) % 3.41/3.70 (define @t3549 () (tptp.c_Orderings_Obot__class_Obot @t3212)) % 3.41/3.70 (define @t3550 () (tptp.c_Set_Oinsert @t13)) % 3.41/3.70 (define @t3551 () (tptp.hAPP @t3550 @t62)) % 3.41/3.70 (define @t3552 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP @t3551 @t3549))) % 3.41/3.70 (define @t3553 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP @t3551 @t12))) % 3.41/3.70 (define @t3554 () (@list @t12 @t62 @t16 @t10)) % 3.41/3.70 (define @t3555 () (tptp.c_Orderings_Obot__class_Obot @t2326)) % 3.41/3.70 (define @t3556 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 @t61) @t3549))) % 3.41/3.70 (define @t3557 () (tptp.tc_fun tptp.tc_Com_Ostate @t2189)) % 3.41/3.70 (define @t3558 () (@list @t20 @t21 @t55 @t16 @t10)) % 3.41/3.70 (define @t3559 () (tptp.hAPP (tptp.hAPP @t581 @t143) @t686)) % 3.41/3.70 (define @t3560 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t143 @t1483)) % 3.41/3.70 (define @t3561 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1483) @t143))) % 3.41/3.70 (define @t3562 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ovname (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) tptp.c_Natural_Oupdate)) % 3.41/3.70 (define @t3563 () (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) % 3.41/3.70 (define @t3564 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_Com_Ostate)) % 3.41/3.70 (define @t3565 () (tptp.hAPP (tptp.c_COMBB @t3206 (tptp.tc_fun @t3564 @t3206) @t10) (tptp.c_COMBB tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_Com_Ostate))) % 3.41/3.70 (define @t3566 () (tptp.c_COMBC @t10 @t3564 @t3206)) % 3.41/3.70 (define @t3567 () (@var "V_xo_2" $$unsorted)) % 3.41/3.70 (define @t3568 () (tptp.c_Option_Oset @t10 @t3567)) % 3.41/3.70 (define @t3569 () (tptp.hAPP @t3550 @t198)) % 3.41/3.70 (define @t3570 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP @t3569 @t3549))) % 3.41/3.70 (define @t3571 () (tptp.hAPP (tptp.hAPP @t3550 @t203) @t3549)) % 3.41/3.70 (define @t3572 () (tptp.tc_fun tptp.tc_Nat_Onat @t2887)) % 3.41/3.70 (define @t3573 () (tptp.tc_fun tptp.tc_Nat_Onat @t2184)) % 3.41/3.70 (define @t3574 () (tptp.hAPP tptp.c_Int_ORep__Integ @t583)) % 3.41/3.70 (define @t3575 () (tptp.hAPP @t954 @t3352)) % 3.41/3.70 (define @t3576 () (tptp.hBOOL (tptp.hAPP @t3575 @t3351))) % 3.41/3.70 (define @t3577 () (tptp.hAPP @t954 @t3381)) % 3.41/3.70 (define @t3578 () (tptp.class_Groups_Oordered__ab__semigroup__add @t92)) % 3.41/3.70 (define @t3579 () (@list @t2 @t1261 @t1419 @t10 @t92)) % 3.41/3.70 (define @t3580 () (tptp.hAPP @t2725 @t349)) % 3.41/3.70 (define @t3581 () (tptp.hBOOL (tptp.hAPP @t3580 @t1261))) % 3.41/3.70 (define @t3582 () (=> @t3581 (= @t3542 (tptp.hAPP @t3411 @t773)))) % 3.41/3.70 (define @t3583 () (tptp.hAPP @t2725 @t20)) % 3.41/3.70 (define @t3584 () (tptp.hBOOL (tptp.hAPP @t3583 @t1419))) % 3.41/3.70 (define @t3585 () (tptp.hBOOL (tptp.hAPP @t3583 @t1261))) % 3.41/3.70 (define @t3586 () (not @t3585)) % 3.41/3.70 (define @t3587 () (=> @t3586 @t3584)) % 3.41/3.70 (define @t3588 () (not @t3584)) % 3.41/3.70 (define @t3589 () (=> @t3585 @t3588)) % 3.41/3.70 (define @t3590 () (tptp.tc_fun @t92 @t2413)) % 3.41/3.70 (define @t3591 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3590)) % 3.41/3.70 (define @t3592 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3591 @t1261) @t1419) @t21) @t20))) % 3.41/3.70 (define @t3593 () (tptp.hAPP @t3393 @t21)) % 3.41/3.70 (define @t3594 () (tptp.hBOOL (tptp.hAPP @t3593 @t20))) % 3.41/3.70 (define @t3595 () (tptp.hAPP @t2725 @t168)) % 3.41/3.70 (define @t3596 () (tptp.hBOOL (tptp.hAPP @t3595 @t1261))) % 3.41/3.70 (define @t3597 () (tptp.hAPP @t3364 @t1261)) % 3.41/3.70 (define @t3598 () (tptp.hBOOL (tptp.hAPP @t3595 @t3597))) % 3.41/3.70 (define @t3599 () (@list @t1261 @t21 @t168 @t10)) % 3.41/3.70 (define @t3600 () (tptp.hBOOL (tptp.hAPP @t3595 @t3365))) % 3.41/3.70 (define @t3601 () (tptp.hBOOL (tptp.hAPP @t3595 @t1419))) % 3.41/3.70 (define @t3602 () (not @t3601)) % 3.41/3.70 (define @t3603 () (@list @t21 @t1419 @t168 @t10)) % 3.41/3.70 (define @t3604 () (=> @t3585 @t3584)) % 3.41/3.70 (define @t3605 () (@list @t20 @t1419 @t1261 @t10)) % 3.41/3.70 (define @t3606 () (tptp.hAPP @t2725 @t21)) % 3.41/3.70 (define @t3607 () (tptp.hAPP @t3262 @t349)) % 3.41/3.70 (define @t3608 () (tptp.hBOOL (tptp.hAPP @t3607 @t1261))) % 3.41/3.70 (define @t3609 () (= @t21 @t566)) % 3.41/3.70 (define @t3610 () (tptp.hBOOL (tptp.hAPP @t3583 @t3113))) % 3.41/3.70 (define @t3611 () (@list @t1419 @t1261 @t20 @t10)) % 3.41/3.70 (define @t3612 () (@list @t1261 @t1419 @t20 @t10)) % 3.41/3.70 (define @t3613 () (tptp.hBOOL (tptp.hAPP @t3583 @t2529))) % 3.41/3.70 (define @t3614 () (tptp.hBOOL (tptp.hAPP @t3583 @t2533))) % 3.41/3.70 (define @t3615 () (@list @t1261 @t20 @t10)) % 3.41/3.70 (define @t3616 () (tptp.hBOOL @t3593)) % 3.41/3.70 (define @t3617 () (tptp.hAPP @t3262 @t21)) % 3.41/3.70 (define @t3618 () (tptp.hBOOL (tptp.hAPP @t3617 @t3393))) % 3.41/3.70 (define @t3619 () (@list @t1419 @t21 @t92 @t1261 @t168 @t10)) % 3.41/3.70 (define @t3620 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t530 @t2309) @t20)) % 3.41/3.70 (define @t3621 () (tptp.hAPP @t2725 @t583)) % 3.41/3.70 (define @t3622 () (tptp.c_member @t530)) % 3.41/3.70 (define @t3623 () (tptp.c_member @t2388)) % 3.41/3.70 (define @t3624 () (tptp.hAPP @t3623 @t2351)) % 3.41/3.70 (define @t3625 () (tptp.c_Orderings_Obot__class_Obot @t3424)) % 3.41/3.70 (define @t3626 () (tptp.hAPP @t3623 @t2710)) % 3.41/3.70 (define @t3627 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2683) @t349) @t610))) % 3.41/3.70 (define @t3628 () (not @t3596)) % 3.41/3.70 (define @t3629 () (exists @t8 @t3039)) % 3.41/3.70 (define @t3630 () (not @t3039)) % 3.41/3.70 (define @t3631 () (@var "V_less__eq_2" $$unsorted)) % 3.41/3.70 (define @t3632 () (tptp.hAPP @t3631 @t143)) % 3.41/3.70 (define @t3633 () (tptp.hBOOL (tptp.hAPP @t3632 @t1524))) % 3.41/3.70 (define @t3634 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3631 @t1477) @t143))) % 3.41/3.70 (define @t3635 () (tptp.hAPP @t2725 @t143)) % 3.41/3.70 (define @t3636 () (= @t2412 @t3085)) % 3.41/3.70 (define @t3637 () (tptp.tc_fun @t3424 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3638 () (tptp.tc_fun @t92 @t3637)) % 3.41/3.70 (define @t3639 () (tptp.hAPP (tptp.c_COMBC @t10 @t3424 @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3638 (tptp.tc_fun @t3424 @t2682) @t10) (tptp.c_COMBC @t92 @t3424 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 @t3638 @t10) (tptp.hAPP (tptp.c_COMBB @t2388 @t3637 @t92) @t3623)) @t2349)))) % 3.41/3.70 (define @t3640 () (tptp.hAPP @t3639 @t3085)) % 3.41/3.70 (define @t3641 () (tptp.hAPP @t3639 @t2412)) % 3.41/3.70 (define @t3642 () (@list @t3085 @t2412 @t92 @t10)) % 3.41/3.70 (define @t3643 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3424)) % 3.41/3.70 (define @t3644 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2683)) % 3.41/3.70 (define @t3645 () (@list @t610 @t349 @t3085 @t2412 @t92 @t10)) % 3.41/3.70 (define @t3646 () (tptp.hAPP (tptp.c_COMBC @t10 @t2309 tptp.tc_HOL_Obool) @t2725)) % 3.41/3.70 (define @t3647 () (tptp.hAPP @t3646 @t3085)) % 3.41/3.70 (define @t3648 () (tptp.hAPP @t3646 @t2412)) % 3.41/3.70 (define @t3649 () (@list @t3085 @t2412 @t10)) % 3.41/3.70 (define @t3650 () (tptp.hBOOL (tptp.hAPP @t3580 @t1419))) % 3.41/3.70 (define @t3651 () (@list @t1419 @t1261 @t349 @t10)) % 3.41/3.70 (define @t3652 () (tptp.hAPP tptp.c_Int_ORep__Integ @t349)) % 3.41/3.70 (define @t3653 () (tptp.hBOOL (tptp.hAPP @t3606 @t1261))) % 3.41/3.70 (define @t3654 () (@list @t1261 @t10 @t21 @t168)) % 3.41/3.70 (define @t3655 () (tptp.hAPP @t2725 @t610)) % 3.41/3.70 (define @t3656 () (tptp.hBOOL (tptp.hAPP @t3655 @t1261))) % 3.41/3.70 (define @t3657 () (tptp.hAPP @t3456 @t610)) % 3.41/3.70 (define @t3658 () (tptp.hAPP @t3262 @t610)) % 3.41/3.70 (define @t3659 () (tptp.hBOOL (tptp.hAPP @t3658 @t1261))) % 3.41/3.70 (define @t3660 () (@list @t2 @t92 @t1261 @t349 @t10)) % 3.41/3.70 (define @t3661 () (tptp.hAPP @t2931 @t349)) % 3.41/3.70 (define @t3662 () (@list @t1261 @t349)) % 3.41/3.70 (define @t3663 () (@list @t1419 @t168 @t10)) % 3.41/3.70 (define @t3664 () (or @t703 @t3596)) % 3.41/3.70 (define @t3665 () (tptp.hAPP @t3374 @t1419)) % 3.41/3.70 (define @t3666 () (not @t3650)) % 3.41/3.70 (define @t3667 () (not @t3581)) % 3.41/3.70 (define @t3668 () (@list @t349 @t3085 @t2412 @t10)) % 3.41/3.70 (define @t3669 () (tptp.hBOOL (tptp.hAPP @t3606 @t3226))) % 3.41/3.70 (define @t3670 () (@list @t1419 @t1261 @t92 @t21 @t10)) % 3.41/3.70 (define @t3671 () (= @t21 @t168)) % 3.41/3.70 (define @t3672 () (tptp.hBOOL (tptp.hAPP @t3606 @t3467))) % 3.41/3.70 (define @t3673 () (tptp.hBOOL (tptp.hAPP @t2440 @t3665))) % 3.41/3.70 (define @t3674 () (tptp.hAPP @t2725 @t566)) % 3.41/3.70 (define @t3675 () (tptp.hAPP @t2522 @t3375)) % 3.41/3.70 (define @t3676 () (tptp.hAPP @t3675 @t1419)) % 3.41/3.70 (define @t3677 () (=> @t3650 (= @t3676 @t2529))) % 3.41/3.70 (define @t3678 () (@list @t1261 @t1419 @t349 @t10)) % 3.41/3.70 (define @t3679 () (@list @t316 @t143 @t10)) % 3.41/3.70 (define @t3680 () (@var "V_less_2" $$unsorted)) % 3.41/3.70 (define @t3681 () (tptp.hAPP @t3680 @t143)) % 3.41/3.70 (define @t3682 () (tptp.hBOOL (tptp.hAPP @t3681 @t1524))) % 3.41/3.70 (define @t3683 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3680 @t1477) @t143))) % 3.41/3.70 (define @t3684 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2969 @t349) @t1261))) % 3.41/3.70 (define @t3685 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t610)) % 3.41/3.70 (define @t3686 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2931 @t610) @t3305))) % 3.41/3.70 (define @t3687 () (tptp.hAPP @t3214 @t143)) % 3.41/3.70 (define @t3688 () (tptp.hBOOL (tptp.hAPP @t3635 @t1261))) % 3.41/3.70 (define @t3689 () (@list @t3214 @t1261 @t143 @t10 @t92)) % 3.41/3.70 (define @t3690 () (@list @t349 @t1261)) % 3.41/3.70 (define @t3691 () (tptp.tc_fun @t2393 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3692 () (tptp.c_member @t2393)) % 3.41/3.70 (define @t3693 () (tptp.hAPP @t3692 @t2705)) % 3.41/3.70 (define @t3694 () (tptp.tc_fun @t3691 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3695 () (tptp.tc_fun @t530 @t3694)) % 3.41/3.70 (define @t3696 () (tptp.tc_fun @t530 @t2393)) % 3.41/3.70 (define @t3697 () (tptp.hAPP (tptp.c_COMBC @t92 @t3691 @t2413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3695 (tptp.tc_fun @t3691 @t2413) @t92) (tptp.c_COMBC @t530 @t3691 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3696 @t3695 @t92) (tptp.hAPP (tptp.c_COMBB @t2393 @t3694 @t530) @t3692)) @t2382)))) % 3.41/3.70 (define @t3698 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3691 @t3590 @t10) @t3697) @t1972)) % 3.41/3.70 (define @t3699 () (@list @t610 @t349 @t1972 @t530 @t92 @t10)) % 3.41/3.70 (define @t3700 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t1524) @t1261))) % 3.41/3.70 (define @t3701 () (@list @t1419 @t168 @t92 @t1261 @t1524 @t10)) % 3.41/3.70 (define @t3702 () (@list @t1419 @t92 @t1261 @t168 @t10)) % 3.41/3.70 (define @t3703 () (tptp.hAPP @t3229 @t3318)) % 3.41/3.70 (define @t3704 () (tptp.hAPP (tptp.c_COMBC @t92 @t2682 tptp.tc_HOL_Obool) @t3262)) % 3.41/3.70 (define @t3705 () (tptp.hAPP (tptp.hAPP @t3508 @t3704) @t1972)) % 3.41/3.70 (define @t3706 () (@list @t349 @t1972 @t92 @t10)) % 3.41/3.70 (define @t3707 () (tptp.hAPP (tptp.hAPP @t3229 @t3286) @t1261)) % 3.41/3.70 (define @t3708 () (tptp.hAPP @t1261 @t316)) % 3.41/3.70 (define @t3709 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t316) @t3286))) % 3.41/3.70 (define @t3710 () (@list @t1261 @t92 @t3286 @t316 @t10)) % 3.41/3.70 (define @t3711 () (tptp.c_Orderings_Oord__class_Oless__eq @t3424)) % 3.41/3.70 (define @t3712 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t92 @t3398) @t10) (tptp.c_If @t92))) % 3.41/3.70 (define @t3713 () (tptp.c_COMBS @t10 @t92 @t3398)) % 3.41/3.70 (define @t3714 () (tptp.c_COMBC @t10 @t92 @t92)) % 3.41/3.70 (define @t3715 () (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP @t3712 @t2408)) @t21))) % 3.41/3.70 (define @t3716 () (tptp.hAPP (tptp.hAPP @t3040 (tptp.hAPP @t3715 @t3381)) @t3085)) % 3.41/3.70 (define @t3717 () (tptp.hBOOL (tptp.hAPP @t3595 @t3085))) % 3.41/3.70 (define @t3718 () (not @t3717)) % 3.41/3.70 (define @t3719 () (tptp.hAPP @t21 @t168)) % 3.41/3.70 (define @t3720 () (tptp.hBOOL (tptp.hAPP @t3349 @t3085))) % 3.41/3.70 (define @t3721 () (@list @t21 @t168 @t3085 @t10 @t92)) % 3.41/3.70 (define @t3722 () (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP @t3712 @t2723)) @t21))) % 3.41/3.70 (define @t3723 () (tptp.hAPP (tptp.hAPP @t3040 (tptp.hAPP @t3722 @t3381)) @t3085)) % 3.41/3.70 (define @t3724 () (@list @t610)) % 3.41/3.70 (define @t3725 () (@list @t1 @t349 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3726 () (tptp.hAPP @t3396 @t2354)) % 3.41/3.70 (define @t3727 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3537) @t1419))) % 3.41/3.70 (define @t3728 () (@list @t1419 @t349 @t1261 @t10)) % 3.41/3.70 (define @t3729 () (=> @t3667 @t2441)) % 3.41/3.70 (define @t3730 () (=> @t3667 (= @t3451 (tptp.hAPP tptp.c_Nat_OSuc @t3065)))) % 3.41/3.70 (define @t3731 () (tptp.hAPP @t2919 @t3494)) % 3.41/3.70 (define @t3732 () (tptp.hAPP @t3042 @t3494)) % 3.41/3.70 (define @t3733 () (@list @t2 @t168 @t1261 @t10 @t92)) % 3.41/3.70 (define @t3734 () (=> @t3596 (= @t3732 (tptp.hAPP @t3354 @t2354)))) % 3.41/3.70 (define @t3735 () (tptp.hAPP @t3372 @t3465)) % 3.41/3.70 (define @t3736 () (@var "V_U_2" $$unsorted)) % 3.41/3.70 (define @t3737 () (tptp.tc_Hoare__Mirabelle_Otriple @t92)) % 3.41/3.70 (define @t3738 () (tptp.tc_fun @t92 @t3206)) % 3.41/3.70 (define @t3739 () (tptp.tc_fun @t3738 @t3737)) % 3.41/3.70 (define @t3740 () (tptp.hAPP (tptp.c_COMBB @t3738 (tptp.tc_fun tptp.tc_Com_Ocom @t3739) @t10) @t93)) % 3.41/3.70 (define @t3741 () (tptp.c_COMBS @t10 tptp.tc_Com_Ocom @t3739)) % 3.41/3.70 (define @t3742 () (tptp.c_COMBS @t10 @t3738 @t3737)) % 3.41/3.70 (define @t3743 () (@var "V_Q_H_2" $$unsorted)) % 3.41/3.70 (define @t3744 () (@var "V_P_H_2" $$unsorted)) % 3.41/3.70 (define @t3745 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t3737 tptp.tc_HOL_Obool))) % 3.41/3.70 (define @t3746 () (@var "B_p" $$unsorted)) % 3.41/3.70 (define @t3747 () (tptp.hAPP @t119 @t3746)) % 3.41/3.70 (define @t3748 () (tptp.c_Set_Oinsert @t3737)) % 3.41/3.70 (define @t3749 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t10) tptp.c_Int_Onat) @t2)) % 3.41/3.70 (define @t3750 () (forall @t8 (=> @t3039 (tptp.c_Nat__Transfer_Ois__nat @t6)))) % 3.41/3.70 (define @t3751 () (tptp.hAPP @t1392 @t62)) % 3.41/3.70 (define @t3752 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2969 (tptp.hAPP @t3751 @t686)) @t1419))) % 3.41/3.70 (define @t3753 () (@list @t1419 @t62 @t2527)) % 3.41/3.70 (define @t3754 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3644 @t1261) @t1419) @t349) @t610))) % 3.41/3.70 (define @t3755 () (tptp.hBOOL (tptp.hAPP @t1262 @t610))) % 3.41/3.70 (define @t3756 () (tptp.hBOOL (tptp.hAPP @t1420 @t610))) % 3.41/3.70 (define @t3757 () (not @t3756)) % 3.41/3.70 (define @t3758 () (@list @t610 @t349 @t1419 @t1261 @t92 @t10)) % 3.41/3.70 (define @t3759 () (tptp.tc_prod @t10 @t10)) % 3.41/3.70 (define @t3760 () (tptp.tc_fun @t3759 tptp.tc_HOL_Obool)) % 3.41/3.70 (define @t3761 () (tptp.c_Orderings_Oord__class_Oless__eq @t3760)) % 3.41/3.70 (define @t3762 () (tptp.c_Orderings_Obot__class_Obot @t3760)) % 3.41/3.70 (define @t3763 () (tptp.hBOOL (tptp.hAPP @t3227 @t20))) % 3.41/3.70 (define @t3764 () (@list @t20 @t21 @t1419 @t1261 @t530 @t92 @t10)) % 3.41/3.70 (define @t3765 () (tptp.c_Product__Type_OPair @t10 @t10)) % 3.41/3.70 (define @t3766 () (tptp.hAPP @t3765 @t4)) % 3.41/3.70 (define @t3767 () (tptp.hAPP @t3766 @t4)) % 3.41/3.70 (define @t3768 () (tptp.c_member @t3759)) % 3.41/3.70 (define @t3769 () (tptp.hAPP @t3768 @t3767)) % 3.41/3.70 (define @t3770 () (tptp.hBOOL (tptp.hAPP @t3769 @t1972))) % 3.41/3.70 (define @t3771 () (tptp.hAPP @t581 @t62)) % 3.41/3.70 (define @t3772 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2969 (tptp.hAPP @t3771 @t686)) @t1261))) % 3.41/3.70 (define @t3773 () (@list @t1261 @t62 @t2527)) % 3.41/3.70 (define @t3774 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t143) @t316))) % 3.41/3.70 (define @t3775 () (tptp.hBOOL (tptp.hAPP @t2809 @t143))) % 3.41/3.70 (define @t3776 () (tptp.hAPP @t2931 @t143)) % 3.41/3.70 (define @t3777 () (@list @t316 @t3680 @t143 @t10)) % 3.41/3.70 (define @t3778 () (not (= @t4 @t62))) % 3.41/3.70 (define @t3779 () (tptp.hAPP @t2969 @t62)) % 3.41/3.70 (define @t3780 () (tptp.hBOOL (tptp.hAPP @t3779 @t1261))) % 3.41/3.70 (define @t3781 () (tptp.hBOOL (tptp.hAPP @t3779 @t1419))) % 3.41/3.70 (define @t3782 () (tptp.hBOOL (tptp.hAPP @t2984 @t2972))) % 3.41/3.70 (define @t3783 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t566) @t2371))) % 3.41/3.70 (define @t3784 () (tptp.c_Wellfounded_Omeasure @t10)) % 3.41/3.70 (define @t3785 () (tptp.hAPP @t3784 @t2)) % 3.41/3.70 (define @t3786 () (tptp.hAPP @t3765 @t349)) % 3.41/3.70 (define @t3787 () (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t610))) % 3.41/3.70 (define @t3788 () (@list @t316 @t3631 @t143 @t10)) % 3.41/3.70 (define @t3789 () (tptp.hAPP @t3378 @t349)) % 3.41/3.70 (define @t3790 () (tptp.hAPP @t3789 @t3473)) % 3.41/3.70 (define @t3791 () (tptp.hAPP @t2 @t969)) % 3.41/3.70 (define @t3792 () (tptp.hAPP @t3791 (tptp.hAPP @t3389 (tptp.hAPP @t3029 @t3790)))) % 3.41/3.70 (define @t3793 () (tptp.hAPP @t3389 @t1261)) % 3.41/3.70 (define @t3794 () (tptp.hBOOL (tptp.hAPP @t3418 @t1261))) % 3.41/3.70 (define @t3795 () (tptp.c_Finite__Set_Ofolding__image__simple @t10 @t92 @t2 @t583 @t1 @t3389)) % 3.41/3.70 (define @t3796 () (@list @t349 @t1261 @t3389 @t1 @t583 @t2 @t92 @t10)) % 3.41/3.70 (define @t3797 () (tptp.hAPP @t3389 @t3537)) % 3.41/3.70 (define @t3798 () (tptp.hAPP @t566 @t3797)) % 3.41/3.70 (define @t3799 () (= @t3537 @t3465)) % 3.41/3.70 (define @t3800 () (not @t3799)) % 3.41/3.70 (define @t3801 () (tptp.c_Finite__Set_Ofolding__one @t10 @t2 @t3389)) % 3.41/3.70 (define @t3802 () (@list @t349 @t1261 @t3389 @t2 @t10)) % 3.41/3.70 (define @t3803 () (@list @t349 @t3389 @t2 @t10)) % 3.41/3.70 (define @t3804 () (tptp.hAPP @t3791 @t3793)) % 3.41/3.70 (define @t3805 () (tptp.hAPP @t3789 @t1261)) % 3.41/3.70 (define @t3806 () (tptp.hAPP @t3389 @t3805)) % 3.41/3.70 (define @t3807 () (= @t3806 @t3804)) % 3.41/3.70 (define @t3808 () (tptp.hAPP @t566 @t3793)) % 3.41/3.70 (define @t3809 () (tptp.hAPP @t3389 @t3375)) % 3.41/3.70 (define @t3810 () (=> @t3479 (= @t3809 @t3808))) % 3.41/3.70 (define @t3811 () (tptp.hAPP @t566 @t610)) % 3.41/3.70 (define @t3812 () (@list @t610 @t583 @t2 @t92 @t1261 @t349 @t10)) % 3.41/3.70 (define @t3813 () (tptp.hAPP @t2725 @t2338)) % 3.41/3.70 (define @t3814 () (@list @t2338)) % 3.41/3.70 (define @t3815 () (tptp.c_Partial__Function_Oflat__lub @t10 @t21 @t1261)) % 3.41/3.70 (define @t3816 () (tptp.hBOOL (tptp.hAPP @t2440 @t3466))) % 3.41/3.70 (define @t3817 () (@list @t21 @t1261 @t10)) % 3.41/3.70 (define @t3818 () (@list @t583 @t2 @t92 @t10)) % 3.41/3.70 (define @t3819 () (tptp.c_Wellfounded_Omlex__prod @t10 @t2 @t2412)) % 3.41/3.70 (define @t3820 () (tptp.hBOOL (tptp.hAPP @t3787 @t3819))) % 3.41/3.70 (define @t3821 () (tptp.hBOOL (tptp.hAPP @t3787 @t2412))) % 3.41/3.70 (define @t3822 () (@list @t2412 @t10 @t610 @t349 @t2)) % 3.41/3.70 (define @t3823 () (@var "V_K_2" $$unsorted)) % 3.41/3.70 (define @t3824 () (tptp.c_Groups_Otimes__class_Otimes @t92)) % 3.41/3.70 (define @t3825 () (tptp.hAPP @t2725 @t1183)) % 3.41/3.70 (define @t3826 () (@var "B_B" $$unsorted)) % 3.41/3.70 (define @t3827 () (@list @t1524 @t1477 @t3680 @t3631 @t143 @t10)) % 3.41/3.70 (define @t3828 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t2731 @t2888 @t316 @t1477)) % 3.41/3.70 (define @t3829 () (= @t3828 @t3460)) % 3.41/3.70 (define @t3830 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t2731 @t2888 @t168 @t21)) % 3.41/3.70 (define @t3831 () (= @t3830 @t3460)) % 3.41/3.70 (define @t3832 () (not (and (tptp.hBOOL (tptp.hAPP @t2809 @t1477)) (not @t3546)))) % 3.41/3.70 (define @t3833 () (not (and @t3311 (not @t3521)))) % 3.41/3.70 (define @t3834 () (tptp.c_Nat_Osemiring__1__class_ONats @t10)) % 3.41/3.70 (define @t3835 () (tptp.hAPP @t2725 @t1579)) % 3.41/3.70 (define @t3836 () (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t2874 @t168)) @t168)) % 3.41/3.70 (define @t3837 () (tptp.c_Int_Oring__1__class_OInts @t10)) % 3.41/3.70 (define @t3838 () (tptp.hBOOL (tptp.hAPP @t3595 @t3837))) % 3.41/3.70 (define @t3839 () (tptp.hAPP @t3169 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3537))) % 3.41/3.70 (define @t3840 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t1261)) % 3.41/3.70 (define @t3841 () (tptp.hAPP @t2725 @t331)) % 3.41/3.70 (define @t3842 () (tptp.hAPP @t2725 @t295)) % 3.41/3.70 (define @t3843 () (tptp.hBOOL (tptp.hAPP @t3606 @t3837))) % 3.41/3.70 (define @t3844 () (tptp.hAPP @t2725 @t795)) % 3.41/3.70 (define @t3845 () (tptp.hAPP @t2725 @t709)) % 3.41/3.70 (define @t3846 () (tptp.hAPP @t2725 @t569)) % 3.41/3.70 (define @t3847 () (tptp.hAPP @t3169 @t3840)) % 3.41/3.70 (define @t3848 () (tptp.hBOOL (tptp.hAPP @t3606 @t3834))) % 3.41/3.70 (define @t3849 () (tptp.hBOOL (tptp.hAPP @t3595 @t3834))) % 3.41/3.70 (define @t3850 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3375)) % 3.41/3.70 (define @t3851 () (=> @t3479 (= @t3850 @t3847))) % 3.41/3.70 (define @t3852 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t1419)) % 3.41/3.70 (define @t3853 () (not @t3470)) % 3.41/3.70 (define @t3854 () (tptp.hAPP (tptp.hAPP @t3155 @t3840) @t3852)) % 3.41/3.70 (define @t3855 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3113)) % 3.41/3.70 (define @t3856 () (= @t3855 @t3854)) % 3.41/3.70 (define @t3857 () (tptp.hAPP @t3360 @t4)) % 3.41/3.70 (define @t3858 () (tptp.hAPP @t3857 (tptp.hAPP (tptp.hAPP @t3360 @t267) @t3465))) % 3.41/3.70 (define @t3859 () (tptp.hAPP (tptp.hAPP @t3155 @t4) @t267)) % 3.41/3.70 (define @t3860 () (tptp.hAPP @t2570 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3537))) % 3.41/3.70 (define @t3861 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t1261)) % 3.41/3.70 (define @t3862 () (= @t3861 @t349)) % 3.41/3.70 (define @t3863 () (tptp.hAPP @t2459 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3537))) % 3.41/3.70 (define @t3864 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t1261)) % 3.41/3.70 (define @t3865 () (= @t3864 @t349)) % 3.41/3.70 (define @t3866 () (tptp.hAPP @t3006 @t3085)) % 3.41/3.70 (define @t3867 () (not (= @t3085 @t3465))) % 3.41/3.70 (define @t3868 () (@list @t3085 @t10)) % 3.41/3.70 (define @t3869 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3861) @t1261))) % 3.41/3.70 (define @t3870 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3864) @t1261))) % 3.41/3.70 (define @t3871 () (tptp.hAPP @t2459 @t3864)) % 3.41/3.70 (define @t3872 () (tptp.hAPP @t2570 @t3861)) % 3.41/3.70 (define @t3873 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3367)) % 3.41/3.70 (define @t3874 () (tptp.hBOOL (tptp.hAPP @t3349 @t3367))) % 3.41/3.70 (define @t3875 () (not (= @t3214 @t3465))) % 3.41/3.70 (define @t3876 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3214) @t3367))) % 3.41/3.70 (define @t3877 () (@list @t3367 @t3214 @t10)) % 3.41/3.70 (define @t3878 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3367)) % 3.41/3.70 (define @t3879 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3375)) % 3.41/3.70 (define @t3880 () (=> @t3479 (= @t3879 @t3871))) % 3.41/3.70 (define @t3881 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3375)) % 3.41/3.70 (define @t3882 () (=> @t3479 (= @t3881 @t3872))) % 3.41/3.70 (define @t3883 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t1419)) % 3.41/3.70 (define @t3884 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t1419)) % 3.41/3.70 (define @t3885 () (tptp.hAPP (tptp.hAPP @t2458 @t3864) @t3883)) % 3.41/3.70 (define @t3886 () (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3113)) % 3.41/3.70 (define @t3887 () (= @t3886 @t3885)) % 3.41/3.70 (define @t3888 () (tptp.hAPP (tptp.hAPP @t2569 @t3861) @t3884)) % 3.41/3.70 (define @t3889 () (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3113)) % 3.41/3.70 (define @t3890 () (= @t3889 @t3888)) % 3.41/3.70 (define @t3891 () (tptp.hAPP (tptp.hAPP @t2569 @t4) @t267)) % 3.41/3.70 (define @t3892 () (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3891) @t3858)))) % 3.41/3.70 (define @t3893 () (tptp.hAPP (tptp.hAPP @t2458 @t4) @t267)) % 3.41/3.70 (define @t3894 () (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3893) @t3858)))) % 3.41/3.70 (define @t3895 () (tptp.hAPP @t3857 @t3465)) % 3.41/3.70 (define @t3896 () (tptp.hAPP (tptp.hAPP @t32 @t33) @t133)) % 3.41/3.70 (define @t3897 () (= @t29 @t3465)) % 3.41/3.70 (define @t3898 () (tptp.c_Product__Type_OPair @t92 @t92)) % 3.41/3.70 (define @t3899 () (tptp.tc_prod @t92 @t92)) % 3.41/3.70 (define @t3900 () (tptp.c_member @t3899)) % 3.41/3.70 (define @t3901 () (tptp.hAPP @t3765 @t168)) % 3.41/3.70 (define @t3902 () (tptp.c_Product__Type_OPair @t2388 @t2388)) % 3.41/3.70 (define @t3903 () (tptp.c_member (tptp.tc_prod @t2388 @t2388))) % 3.41/3.70 (define @t3904 () (tptp.c_Sum__Type_OPlus @t10 @t92 @t1261 @t1419)) % 3.41/3.70 (define @t3905 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t2622) @t3904)) % 3.41/3.70 (define @t3906 () (and @t3355 @t3442)) % 3.41/3.70 (define @t3907 () (tptp.hAPP @t3068 @t1419)) % 3.41/3.70 (define @t3908 () (tptp.hAPP @t260 @t3065)) % 3.41/3.70 (define @t3909 () (= @t3905 (tptp.hAPP @t3908 @t3907))) % 3.41/3.70 (define @t3910 () (tptp.c_Sum__Type_OInr @t10 @t92)) % 3.41/3.70 (define @t3911 () (tptp.tc_sum @t92 @t10)) % 3.41/3.70 (define @t3912 () (tptp.hBOOL (tptp.hAPP @t3606 @t1419))) % 3.41/3.70 (define @t3913 () (= @t1419 @t3473)) % 3.41/3.70 (define @t3914 () (tptp.hBOOL (tptp.hAPP @t3434 @t3904))) % 3.41/3.70 (define @t3915 () (tptp.c_Recdef_Osame__fst @t10 @t92 @t55 @t2412)) % 3.41/3.70 (define @t3916 () (@var "V_y_H_2" $$unsorted)) % 3.41/3.70 (define @t3917 () (tptp.hAPP @t2412 @t349)) % 3.41/3.70 (define @t3918 () (tptp.c_Wellfounded_Ofinite__psubset @t10)) % 3.41/3.70 (define @t3919 () (tptp.c_Product__Type_OPair @t2309 @t2309)) % 3.41/3.70 (define @t3920 () (tptp.tc_prod @t2309 @t2309)) % 3.41/3.70 (define @t3921 () (tptp.c_member @t3920)) % 3.41/3.70 (define @t3922 () (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t1261) @t1419))) % 3.41/3.70 (define @t3923 () (tptp.hAPP @t2570 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3537))) % 3.41/3.70 (define @t3924 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t1261)) % 3.41/3.70 (define @t3925 () (tptp.hAPP @t2570 @t3924)) % 3.41/3.70 (define @t3926 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3375)) % 3.41/3.70 (define @t3927 () (=> @t3479 (= @t3926 @t3925))) % 3.41/3.70 (define @t3928 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t1419)) % 3.41/3.70 (define @t3929 () (tptp.hAPP @t2458 @t168)) % 3.41/3.70 (define @t3930 () (tptp.hAPP (tptp.hAPP @t2569 @t3924) @t3928)) % 3.41/3.70 (define @t3931 () (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3113)) % 3.41/3.70 (define @t3932 () (= @t3931 @t3930)) % 3.41/3.70 (define @t3933 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t1261)) % 3.41/3.70 (define @t3934 () (tptp.hAPP @t2459 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3537))) % 3.41/3.70 (define @t3935 () (tptp.hAPP @t2459 @t3933)) % 3.41/3.70 (define @t3936 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3375)) % 3.41/3.70 (define @t3937 () (=> @t3479 (= @t3936 @t3935))) % 3.41/3.70 (define @t3938 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t1419)) % 3.41/3.70 (define @t3939 () (tptp.hAPP @t2569 @t168)) % 3.41/3.70 (define @t3940 () (tptp.hAPP (tptp.hAPP @t2458 @t3933) @t3938)) % 3.41/3.70 (define @t3941 () (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3113)) % 3.41/3.70 (define @t3942 () (= @t3941 @t3940)) % 3.41/3.70 (define @t3943 () (@list @t1261 @t3389 @t2 @t10)) % 3.41/3.70 (define @t3944 () (tptp.c_Fun_Ofun__upd @t10 @t92)) % 3.41/3.70 (define @t3945 () (tptp.hAPP @t3944 @t2)) % 3.41/3.70 (define @t3946 () (tptp.hAPP @t3945 @t349)) % 3.41/3.70 (define @t3947 () (tptp.hAPP @t3946 @t610)) % 3.41/3.70 (define @t3948 () (tptp.hAPP (tptp.c_Set_Oimage @t10 @t92 @t3947) @t1261)) % 3.41/3.70 (define @t3949 () (@list @t349 @t2 @t92 @t10)) % 3.41/3.70 (define @t3950 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t92 @t10) @t2) @t349) @t610)) % 3.41/3.70 (define @t3951 () (= @t566 @t610)) % 3.41/3.70 (define @t3952 () (tptp.hAPP @t2 @t583)) % 3.41/3.70 (define @t3953 () (tptp.hAPP @t3947 @t583)) % 3.41/3.70 (define @t3954 () (= @t583 @t349)) % 3.41/3.70 (define @t3955 () (=> (not @t3954) (= @t3953 @t3952))) % 3.41/3.70 (define @t3956 () (@list @t610 @t2 @t92 @t10 @t349 @t583)) % 3.41/3.70 (define @t3957 () (tptp.hAPP @t3944 @t314)) % 3.41/3.70 (define @t3958 () (@list @t583 @t610 @t349 @t2 @t92 @t10)) % 3.41/3.70 (define @t3959 () (@list @t610 @t349 @t2 @t92 @t10)) % 3.41/3.70 (define @t3960 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3945 @t168) @t21) @t349)) % 3.41/3.70 (define @t3961 () (= @t349 @t168)) % 3.41/3.70 (define @t3962 () (not @t3961)) % 3.41/3.70 (define @t3963 () (tptp.hAPP @t354 @t21)) % 3.41/3.70 (define @t3964 () (tptp.c_Fun_Ofun__upd @t92 @t2655)) % 3.41/3.70 (define @t3965 () (tptp.hAPP @t3964 @t2)) % 3.41/3.70 (define @t3966 () (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2655 @t2) @t3322)))) % 3.41/3.70 (define @t3967 () (tptp.tc_Option_Ooption @t92)) % 3.41/3.70 (define @t3968 () (tptp.hAPP @t387 @t610)) % 3.41/3.70 (define @t3969 () (tptp.c_Fun_Ofun__upd @t10 @t3967)) % 3.41/3.70 (define @t3970 () (tptp.hAPP @t3969 @t314)) % 3.41/3.70 (define @t3971 () (tptp.hAPP @t3970 @t349)) % 3.41/3.70 (define @t3972 () (tptp.hAPP @t3971 @t3968)) % 3.41/3.70 (define @t3973 () (tptp.hAPP (tptp.c_COMBK @t3967 @t10) @t391)) % 3.41/3.70 (define @t3974 () (tptp.hAPP @t387 @t349)) % 3.41/3.70 (define @t3975 () (tptp.hAPP @t354 @t610)) % 3.41/3.70 (define @t3976 () (tptp.hAPP @t314 @t349)) % 3.41/3.70 (define @t3977 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3964 @t314) @t168) @t3963)) % 3.41/3.70 (define @t3978 () (tptp.hAPP @t3970 @t168)) % 3.41/3.70 (define @t3979 () (@var "V_xa_2" $$unsorted)) % 3.41/3.70 (define @t3980 () (tptp.hAPP (tptp.c_COMBK @t2655 @t92) @t356)) % 3.41/3.70 (define @t3981 () (tptp.c_Map_Oran @t92 @t10 @t314)) % 3.41/3.70 (define @t3982 () (tptp.hAPP @t314 @t168)) % 3.41/3.70 (define @t3983 () (tptp.c_Map_Orestrict__map @t10 @t92 @t314 @t2527)) % 3.41/3.70 (define @t3984 () (tptp.hAPP (tptp.hAPP @t3969 @t3983) @t349)) % 3.41/3.70 (define @t3985 () (tptp.hAPP @t3984 @t391)) % 3.41/3.70 (define @t3986 () (tptp.hBOOL (tptp.hAPP @t3580 @t2527))) % 3.41/3.70 (define @t3987 () (not @t3986)) % 3.41/3.70 (define @t3988 () (tptp.hAPP @t2522 @t2527)) % 3.41/3.70 (define @t3989 () (tptp.c_Map_Orestrict__map @t10 @t92 @t314 (tptp.hAPP @t3988 @t3492))) % 3.41/3.70 (define @t3990 () (tptp.hAPP @t3064 @t3085)) % 3.41/3.70 (define @t3991 () (tptp.c_Power_Opower__class_Opower @t92)) % 3.41/3.70 (define @t3992 () (tptp.hAPP @t3991 @t20)) % 3.41/3.70 (define @t3993 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t92)) % 3.41/3.70 (define @t3994 () (tptp.hAPP (tptp.hAPP @t3993 (tptp.hAPP @t3722 @t20)) @t3085)) % 3.41/3.70 (define @t3995 () (tptp.class_Groups_Ocomm__monoid__mult @t92)) % 3.41/3.70 (define @t3996 () (tptp.c_Map_Orestrict__map @t10 @t92 @t314 @t1261)) % 3.41/3.70 (define @t3997 () (tptp.hAPP @t3996 @t349)) % 3.41/3.70 (define @t3998 () (=> @t3581 (= @t3997 @t3976))) % 3.41/3.70 (define @t3999 () (@list @t314 @t92 @t1261 @t349 @t10)) % 3.41/3.70 (define @t4000 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t92 @t10)) % 3.41/3.70 (define @t4001 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Int_Oint)) % 3.41/3.70 (define @t4002 () (tptp.hAPP (tptp.hAPP @t4001 @t2915) @t1261)) % 3.41/3.70 (define @t4003 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 tptp.tc_Nat_Onat)) % 3.41/3.70 (define @t4004 () (tptp.hAPP @t4003 @t2)) % 3.41/3.70 (define @t4005 () (tptp.hAPP @t4004 @t1261)) % 3.41/3.70 (define @t4006 () (tptp.hAPP @t4000 @t1)) % 3.41/3.70 (define @t4007 () (tptp.hAPP @t4000 @t2)) % 3.41/3.70 (define @t4008 () (tptp.hAPP @t4007 @t1261)) % 3.41/3.70 (define @t4009 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t10)) % 3.41/3.70 (define @t4010 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t10)) % 3.41/3.70 (define @t4011 () (tptp.hAPP @t3993 @t2)) % 3.41/3.70 (define @t4012 () (tptp.hAPP @t4011 @t1261)) % 3.41/3.70 (define @t4013 () (= @t4012 @t3381)) % 3.41/3.70 (define @t4014 () (= @t6 @t3381)) % 3.41/3.70 (define @t4015 () (exists @t8 (and @t3039 @t4014))) % 3.41/3.70 (define @t4016 () (tptp.class_Rings_Ocomm__semiring__1 @t92)) % 3.41/3.70 (define @t4017 () (tptp.c_Groups_Oone__class_Oone @t92)) % 3.41/3.70 (define @t4018 () (tptp.hAPP @t3993 @t1)) % 3.41/3.70 (define @t4019 () (tptp.hAPP @t4018 @t1261)) % 3.41/3.70 (define @t4020 () (=> @t3383 (= @t4019 @t4017))) % 3.41/3.70 (define @t4021 () (tptp.hAPP (tptp.hAPP @t4009 @t2) @t1261)) % 3.41/3.70 (define @t4022 () (tptp.hAPP @t3824 @t4019)) % 3.41/3.70 (define @t4023 () (tptp.hAPP (tptp.hAPP @t3400 (tptp.hAPP (tptp.hAPP @t3399 @t3824) @t1)) @t205)) % 3.41/3.70 (define @t4024 () (tptp.c_Rings_Oinverse__class_Odivide @t92)) % 3.41/3.70 (define @t4025 () (tptp.hAPP @t4024 @t4012)) % 3.41/3.70 (define @t4026 () (@list @t1 @t2 @t1261 @t10 @t92)) % 3.41/3.70 (define @t4027 () (=> @t3667 (= @t3997 @t391))) % 3.41/3.70 (define @t4028 () (tptp.hAPP @t2 @t143)) % 3.41/3.70 (define @t4029 () (tptp.c_Rings_Odvd__class_Odvd @t92)) % 3.41/3.70 (define @t4030 () (tptp.hBOOL (tptp.hAPP @t2726 @t3085))) % 3.41/3.70 (define @t4031 () (forall @t8 (=> @t4030 @t3038))) % 3.41/3.70 (define @t4032 () (tptp.hBOOL (tptp.hAPP @t405 (tptp.hAPP @t4004 @t3085)))) % 3.41/3.70 (define @t4033 () (@list @t2 @t3085 @t10)) % 3.41/3.70 (define @t4034 () (tptp.hAPP @t4011 @t1419)) % 3.41/3.70 (define @t4035 () (tptp.hAPP @t4029 @t4012)) % 3.41/3.70 (define @t4036 () (@list @t1261 @t168 @t2 @t92 @t10)) % 3.41/3.70 (define @t4037 () (tptp.hAPP (tptp.hAPP @t3993 (tptp.hAPP @t3722 @t4017)) @t3085)) % 3.41/3.70 (define @t4038 () (tptp.hAPP (tptp.hAPP @t3993 (tptp.hAPP @t3715 @t4017)) @t3085)) % 3.41/3.70 (define @t4039 () (tptp.hAPP @t3824 @t969)) % 3.41/3.70 (define @t4040 () (tptp.hAPP @t4018 @t3375)) % 3.41/3.70 (define @t4041 () (= @t3982 @t3963)) % 3.41/3.70 (define @t4042 () (@list @t92 @t21 @t10 @t168 @t314)) % 3.41/3.70 (define @t4043 () (tptp.hAPP @t4039 (tptp.hAPP @t4018 @t3537))) % 3.41/3.70 (define @t4044 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t3989) @t349) @t610)) % 3.41/3.70 (define @t4045 () (= (tptp.hAPP @t3984 @t610) @t4044)) % 3.41/3.70 (define @t4046 () (@list @t10 @t92)) % 3.41/3.70 (define @t4047 () (tptp.hAPP @t4011 @t3494)) % 3.41/3.70 (define @t4048 () (tptp.class_Fields_Ofield @t92)) % 3.41/3.70 (define @t4049 () (@list @t610 @t314 @t92 @t2527 @t349 @t10)) % 3.41/3.70 (define @t4050 () (tptp.c_Map_Orestrict__map @t10 @t92 (tptp.hAPP @t3971 @t610) @t2527)) % 3.41/3.70 (define @t4051 () (tptp.hAPP (tptp.hAPP @t3969 @t2) @t349)) % 3.41/3.70 (define @t4052 () (tptp.hAPP @t2532 @t3492)) % 3.41/3.70 (define @t4053 () (tptp.hBOOL (tptp.hAPP @t3635 @t18))) % 3.41/3.70 (define @t4054 () (tptp.hAPP @t3042 @t18)) % 3.49/3.70 (define @t4055 () (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t3825 @t18)) (tptp.hBOOL (tptp.hAPP @t3577 @t1790))))) % 3.49/3.70 (define @t4056 () (tptp.hBOOL (tptp.hAPP @t3349 @t18))) % 3.49/3.70 (define @t4057 () (tptp.class_Groups_Oordered__ab__group__add @t92)) % 3.49/3.70 (define @t4058 () (tptp.c_Product__Type_OPair @t2360 @t2360)) % 3.49/3.70 (define @t4059 () (tptp.tc_prod @t2360 @t2360)) % 3.49/3.70 (define @t4060 () (tptp.c_member @t4059)) % 3.49/3.70 (define @t4061 () (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t4058 (tptp.hAPP (tptp.hAPP @t2141 @t168) @t18)) (tptp.hAPP (tptp.hAPP @t2141 @t21) @t62)))) % 3.49/3.70 (define @t4062 () (tptp.hBOOL (tptp.hAPP @t4061 tptp.c_FunDef_Opair__less))) % 3.49/3.70 (define @t4063 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t168) @t21))) % 3.49/3.70 (define @t4064 () (@list @t62 @t18 @t21 @t168)) % 3.49/3.70 (define @t4065 () (tptp.hBOOL (tptp.hAPP @t4061 tptp.c_FunDef_Opair__leq))) % 3.49/3.70 (define @t4066 () (tptp.c_Set_Oinsert @t2360)) % 3.49/3.70 (define @t4067 () (tptp.hAPP @t4066 @t349)) % 3.49/3.70 (define @t4068 () (tptp.tc_fun @t2360 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4069 () (tptp.c_Product__Type_OPair @t4068 @t4068)) % 3.49/3.70 (define @t4070 () (tptp.tc_prod @t4068 @t4068)) % 3.49/3.70 (define @t4071 () (tptp.c_member @t4070)) % 3.49/3.70 (define @t4072 () (tptp.hAPP @t4069 @t171)) % 3.49/3.70 (define @t4073 () (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t4058 @t349) @t610))) % 3.49/3.70 (define @t4074 () (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_FunDef_Opair__less))) % 3.49/3.70 (define @t4075 () (tptp.c_member @t2360)) % 3.49/3.70 (define @t4076 () (tptp.hAPP @t4075 @t610)) % 3.49/3.70 (define @t4077 () (@var "V_YS_2" $$unsorted)) % 3.49/3.70 (define @t4078 () (tptp.hAPP @t4066 @t610)) % 3.49/3.70 (define @t4079 () (@var "V_XS_2" $$unsorted)) % 3.49/3.70 (define @t4080 () (tptp.hAPP @t4069 @t4079)) % 3.49/3.70 (define @t4081 () (tptp.hAPP @t4071 (tptp.hAPP @t4080 (tptp.hAPP @t4078 @t4077)))) % 3.49/3.70 (define @t4082 () (tptp.hAPP @t4071 (tptp.hAPP @t4080 @t4077))) % 3.49/3.70 (define @t4083 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4075 @t349) @t4079))) % 3.49/3.70 (define @t4084 () (@list @t4077 @t610 @t4079 @t349)) % 3.49/3.70 (define @t4085 () (tptp.c_Orderings_Obot__class_Obot @t4068)) % 3.49/3.70 (define @t4086 () (tptp.hAPP @t4071 (tptp.hAPP @t4072 @t4085))) % 3.49/3.70 (define @t4087 () (@list @t171)) % 3.49/3.70 (define @t4088 () (tptp.hAPP @t4069 @t4085)) % 3.49/3.70 (define @t4089 () (tptp.c_Finite__Set_Ofinite @t2360)) % 3.49/3.70 (define @t4090 () (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_FunDef_Opair__leq))) % 3.49/3.70 (define @t4091 () (tptp.tc_fun @t4070 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4092 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4070) (tptp.hAPP @t4088 @t4085)) (tptp.c_Orderings_Obot__class_Obot @t4091))) % 3.49/3.70 (define @t4093 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4091)) % 3.49/3.70 (define @t4094 () (tptp.c_Product__Type_OPair @t4091 @t4091)) % 3.49/3.70 (define @t4095 () (tptp.c_Wellfounded_Omax__ext @t10 @t2412)) % 3.49/3.70 (define @t4096 () (tptp.tc_fun @t3760 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4097 () (tptp.hAPP (tptp.c_COMBB @t3759 @t4096 @t10) @t3768)) % 3.49/3.70 (define @t4098 () (tptp.tc_fun @t10 @t4096)) % 3.49/3.70 (define @t4099 () (tptp.tc_fun @t10 @t3759)) % 3.49/3.70 (define @t4100 () (tptp.c_COMBC @t10 @t3760 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4101 () (tptp.hAPP (tptp.c_COMBC @t10 @t3760 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4098 (tptp.tc_fun @t3760 @t2309) @t10) @t4100) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4099 @t4098 @t10) @t4097) @t3765)))) % 3.49/3.70 (define @t4102 () (tptp.hAPP (tptp.hAPP @t260 @t1524) @t610)) % 3.49/3.70 (define @t4103 () (tptp.hAPP @t260 @t349)) % 3.49/3.70 (define @t4104 () (tptp.hAPP @t4103 @t1624)) % 3.49/3.70 (define @t4105 () (tptp.hAPP (tptp.hAPP @t2141 @t1524) @t1624)) % 3.49/3.70 (define @t4106 () (@list @t1624 @t1524 @t610 @t349)) % 3.49/3.70 (define @t4107 () (tptp.tc_prod tptp.tc_Nat_Onat @t10)) % 3.49/3.70 (define @t4108 () (tptp.c_FunDef_Orp__inv__image @t10 @t92)) % 3.49/3.70 (define @t4109 () (tptp.c_FunDef_Oreduction__pair @t10 @t55)) % 3.49/3.70 (define @t4110 () (@list @t2 @t92 @t55 @t10)) % 3.49/3.70 (define @t4111 () (tptp.c_Set_Oimage @t10 @t10 @t205)) % 3.49/3.70 (define @t4112 () (tptp.hAPP @t4111 @t3367)) % 3.49/3.70 (define @t4113 () (not (= @t3367 @t3465))) % 3.49/3.70 (define @t4114 () (tptp.hAPP @t205 @t267)) % 3.49/3.70 (define @t4115 () (tptp.hAPP @t205 @t4)) % 3.49/3.70 (define @t4116 () (forall @t2447 (= (tptp.hAPP @t205 @t3891) (tptp.hAPP (tptp.hAPP @t2569 @t4115) @t4114)))) % 3.49/3.70 (define @t4117 () (@list @t3367 @t205 @t10)) % 3.49/3.70 (define @t4118 () (tptp.c_Relation_Oinv__image @t10 @t92)) % 3.49/3.70 (define @t4119 () (tptp.tc_fun @t3899 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4120 () (tptp.tc_prod @t4119 @t4119)) % 3.49/3.70 (define @t4121 () (tptp.tc_fun @t4119 @t4120)) % 3.49/3.70 (define @t4122 () (tptp.tc_fun @t1263 @t4121)) % 3.49/3.70 (define @t4123 () (tptp.tc_fun @t1263 @t4119)) % 3.49/3.70 (define @t4124 () (tptp.tc_fun @t1263 @t4120)) % 3.49/3.70 (define @t4125 () (tptp.tc_fun @t4123 @t4124)) % 3.49/3.70 (define @t4126 () (tptp.tc_fun @t3760 @t4124)) % 3.49/3.70 (define @t4127 () (tptp.tc_fun @t3760 @t4123)) % 3.49/3.70 (define @t4128 () (tptp.c_Relation_Oinv__image @t92 @t10)) % 3.49/3.70 (define @t4129 () (tptp.hAPP (tptp.hAPP @t4128 @t1972) @t2)) % 3.49/3.70 (define @t4130 () (forall @t2447 (= (tptp.hAPP @t205 @t3893) (tptp.hAPP (tptp.hAPP @t2458 @t4115) @t4114)))) % 3.49/3.70 (define @t4131 () (forall @t8 (not @t3770))) % 3.49/3.70 (define @t4132 () (tptp.c_Relation_OField @t10)) % 3.49/3.70 (define @t4133 () (tptp.hAPP @t4132 @t1972)) % 3.49/3.70 (define @t4134 () (tptp.hAPP @t3901 @t21)) % 3.49/3.70 (define @t4135 () (tptp.c_Set_Oinsert @t3759)) % 3.49/3.70 (define @t4136 () (@list @t1972 @t21 @t168 @t10)) % 3.49/3.70 (define @t4137 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t3759) @t3765) @t2159)) % 3.49/3.70 (define @t4138 () (tptp.c_Relation_OId__on @t10 @t1261)) % 3.49/3.70 (define @t4139 () (tptp.tc_fun @t10 @t2189)) % 3.49/3.70 (define @t4140 () (tptp.hAPP (tptp.c_COMBB @t2309 @t4139 @t10) @t2714)) % 3.49/3.70 (define @t4141 () (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t10 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4142 () (tptp.hAPP @t4132 @t18)) % 3.49/3.70 (define @t4143 () (tptp.hAPP @t3761 @t1972)) % 3.49/3.70 (define @t4144 () (tptp.hBOOL (tptp.hAPP @t4143 @t18))) % 3.49/3.70 (define @t4145 () (@list @t18 @t1972 @t10)) % 3.49/3.70 (define @t4146 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3760)) % 3.49/3.70 (define @t4147 () (tptp.hAPP @t4146 @t1972)) % 3.49/3.70 (define @t4148 () (tptp.hAPP @t4147 @t18)) % 3.49/3.70 (define @t4149 () (tptp.c_Finite__Set_Ofinite @t3759)) % 3.49/3.70 (define @t4150 () (tptp.hBOOL (tptp.hAPP @t4149 @t1972))) % 3.49/3.70 (define @t4151 () (tptp.hAPP @t3768 @t4134)) % 3.49/3.70 (define @t4152 () (@var "V_T_2" $$unsorted)) % 3.49/3.70 (define @t4153 () (tptp.hAPP @t4011 @t4152)) % 3.49/3.70 (define @t4154 () (tptp.hAPP @t4011 @t3085)) % 3.49/3.70 (define @t4155 () (= @t6 @t4017)) % 3.49/3.70 (define @t4156 () (tptp.hBOOL (tptp.hAPP @t2726 (tptp.hAPP (tptp.hAPP @t2522 @t4152) @t3085)))) % 3.49/3.70 (define @t4157 () (forall @t8 (=> @t4156 @t4155))) % 3.49/3.70 (define @t4158 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3085) @t4152))) % 3.49/3.70 (define @t4159 () (tptp.hBOOL (tptp.hAPP @t3349 @t4152))) % 3.49/3.70 (define @t4160 () (@list @t2 @t3085 @t4152 @t10 @t92)) % 3.49/3.70 (define @t4161 () (tptp.hAPP @t3042 @t3085)) % 3.49/3.70 (define @t4162 () (tptp.hAPP @t3042 @t4152)) % 3.49/3.70 (define @t4163 () (forall @t8 (=> @t4156 @t4014))) % 3.49/3.70 (define @t4164 () (tptp.c_COMBK @t3206 @t10)) % 3.49/3.70 (define @t4165 () (tptp.c_Set_OPow @t10)) % 3.49/3.70 (define @t4166 () (tptp.hAPP @t4165 @t1261)) % 3.49/3.70 (define @t4167 () (tptp.c_Finite__Set_Ocard @t2309)) % 3.49/3.70 (define @t4168 () (tptp.hAPP @t4165 @t1419)) % 3.49/3.70 (define @t4169 () (tptp.c_member @t2309)) % 3.49/3.70 (define @t4170 () (tptp.hAPP @t4169 @t1261)) % 3.49/3.70 (define @t4171 () (tptp.hBOOL (tptp.hAPP @t4170 @t4168))) % 3.49/3.70 (define @t4172 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2729)) % 3.49/3.70 (define @t4173 () (tptp.hAPP @t4172 @t4166)) % 3.49/3.70 (define @t4174 () (tptp.c_Orderings_Obot__class_Obot @t2729)) % 3.49/3.70 (define @t4175 () (tptp.c_Set_Oinsert @t2309)) % 3.49/3.70 (define @t4176 () (@var "B_f" $$unsorted)) % 3.49/3.70 (define @t4177 () (@list @t4176)) % 3.49/3.70 (define @t4178 () (tptp.hAPP (tptp.c_Set_Oimage @t2682 @t2309 @t3008) (tptp.hAPP (tptp.c_Set_OPow @t92) @t1261))) % 3.49/3.70 (define @t4179 () (tptp.c_Orderings_Otop__class_Otop @t2729)) % 3.49/3.70 (define @t4180 () (tptp.c_Finite__Set_Ofinite @t2309)) % 3.49/3.70 (define @t4181 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t2729 @t92) @t4165) @t1419)) % 3.49/3.70 (define @t4182 () (tptp.hAPP @t4169 @t349)) % 3.49/3.70 (define @t4183 () (tptp.hAPP @t3646 @t1261)) % 3.49/3.70 (define @t4184 () (tptp.hBOOL (tptp.hAPP @t55 @t3465))) % 3.49/3.70 (define @t4185 () (tptp.hAPP @t3360 @t402)) % 3.49/3.70 (define @t4186 () (@var "B_A" $$unsorted)) % 3.49/3.70 (define @t4187 () (tptp.hAPP @t2725 @t402)) % 3.49/3.70 (define @t4188 () (tptp.hBOOL (tptp.hAPP @t4187 @t4186))) % 3.49/3.70 (define @t4189 () (@list @t402 @t4186)) % 3.49/3.70 (define @t4190 () (tptp.hAPP @t3389 @t1419)) % 3.49/3.70 (define @t4191 () (tptp.hAPP (tptp.hAPP @t2 @t3793) @t4190)) % 3.49/3.70 (define @t4192 () (tptp.hAPP @t3389 @t3113)) % 3.49/3.70 (define @t4193 () (= @t4192 @t4191)) % 3.49/3.70 (define @t4194 () (tptp.c_Finite__Set_Ofolding__one__idem @t10 @t2 @t3389)) % 3.49/3.70 (define @t4195 () (@list @t1419 @t1261 @t3389 @t2 @t10)) % 3.49/3.70 (define @t4196 () (@var "B_F" $$unsorted)) % 3.49/3.70 (define @t4197 () (tptp.hBOOL (tptp.hAPP @t4187 @t1261))) % 3.49/3.70 (define @t4198 () (= (tptp.hAPP @t566 @t349) @t349)) % 3.49/3.70 (define @t4199 () (= (tptp.hAPP (tptp.hAPP @t2 @t4190) @t3793) @t3793)) % 3.49/3.70 (define @t4200 () (tptp.c_Orderings_Oord__class_Oless @t92)) % 3.49/3.70 (define @t4201 () (tptp.c_Relation_OImage @t2360 @t2360 tptp.c_Int_Ointrel)) % 3.49/3.70 (define @t4202 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t92 @t530)) % 3.49/3.70 (define @t4203 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t530)) % 3.49/3.70 (define @t4204 () (tptp.class_Groups_Ocomm__monoid__add @t530)) % 3.49/3.70 (define @t4205 () (@list @t2 @t1419 @t92 @t1261 @t10 @t530)) % 3.49/3.70 (define @t4206 () (tptp.c_Relation_OImage @t92 @t10 @t2412)) % 3.49/3.70 (define @t4207 () (@list @t2412 @t10 @t92)) % 3.49/3.70 (define @t4208 () (tptp.hAPP @t4206 @t1419)) % 3.49/3.70 (define @t4209 () (tptp.hAPP @t4206 @t1261)) % 3.49/3.70 (define @t4210 () (tptp.hAPP @t3096 @t4209)) % 3.49/3.70 (define @t4211 () (tptp.c_Relation_OImage @t92 @t10 @t1972)) % 3.49/3.70 (define @t4212 () (tptp.hAPP (tptp.hAPP @t3295 @t4211) @t1419)) % 3.49/3.70 (define @t4213 () (tptp.hAPP @t2508 @t20)) % 3.49/3.70 (define @t4214 () (tptp.hAPP @t168 (tptp.hAPP @t21 @t1624))) % 3.49/3.70 (define @t4215 () (= @t4214 (tptp.hAPP @t20 @t1624))) % 3.49/3.70 (define @t4216 () (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t92 @t10 @t168) @t21)) % 3.49/3.70 (define @t4217 () (@list @t1624 @t20 @t21 @t168 @t10 @t92 @t530)) % 3.49/3.70 (define @t4218 () (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t92 @t2394 @t2) @t1)) % 3.49/3.70 (define @t4219 () (@var "V_x_H_2" $$unsorted)) % 3.49/3.70 (define @t4220 () (@var "V_g_H_2" $$unsorted)) % 3.49/3.70 (define @t4221 () (@var "V_f_H_2" $$unsorted)) % 3.49/3.70 (define @t4222 () (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t10 @t530 @t2) @t1)) % 3.49/3.70 (define @t4223 () (tptp.hAPP @t4222 @t349)) % 3.49/3.70 (define @t4224 () (tptp.c_Fun_Ocomp @t530 @t92 @t10 @t2)) % 3.49/3.70 (define @t4225 () (= @t4216 (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t92 @t10 @t20) @t809))) % 3.49/3.70 (define @t4226 () (@var "B_v" $$unsorted)) % 3.49/3.70 (define @t4227 () (@list @t4226)) % 3.49/3.70 (define @t4228 () (tptp.hAPP @t4224 @t1)) % 3.49/3.70 (define @t4229 () (tptp.c_Orderings_Otop__class_Otop @t2413)) % 3.49/3.70 (define @t4230 () (tptp.c_Relation_OImage @t10 @t92 @t1972)) % 3.49/3.70 (define @t4231 () (tptp.hAPP @t4230 @t1261)) % 3.49/3.70 (define @t4232 () (@var "V_A_H_2" $$unsorted)) % 3.49/3.70 (define @t4233 () (@var "V_r_H_2" $$unsorted)) % 3.49/3.70 (define @t4234 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3711 @t4233) @t1972))) % 3.49/3.70 (define @t4235 () (tptp.tc_fun @t2625 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4236 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4235)) % 3.49/3.70 (define @t4237 () (tptp.hAPP @t2545 @t4)) % 3.49/3.70 (define @t4238 () (tptp.c_member @t2625)) % 3.49/3.70 (define @t4239 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 (tptp.hAPP @t4237 @t21)) @t1972))) % 3.49/3.70 (define @t4240 () (tptp.hAPP @t4211 @t1261)) % 3.49/3.70 (define @t4241 () (tptp.hBOOL (tptp.hAPP @t3606 @t4240))) % 3.49/3.70 (define @t4242 () (@list @t1261 @t1972 @t92 @t21 @t10)) % 3.49/3.70 (define @t4243 () (tptp.hBOOL (tptp.hAPP @t3624 @t1972))) % 3.49/3.70 (define @t4244 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t2682 @t2682) @t3378) @t3473)) % 3.49/3.70 (define @t4245 () (tptp.c_COMBB @t2682 @t2309 @t92)) % 3.49/3.70 (define @t4246 () (tptp.hAPP @t2545 @t168)) % 3.49/3.70 (define @t4247 () (tptp.hAPP @t4246 @t21)) % 3.49/3.70 (define @t4248 () (tptp.hAPP @t4211 @t3516)) % 3.49/3.70 (define @t4249 () (tptp.hAPP @t770 @t610)) % 3.49/3.70 (define @t4250 () (tptp.hAPP @t770 @t349)) % 3.49/3.70 (define @t4251 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 @t4105) @t4085)))) % 3.49/3.70 (define @t4252 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 @t2359) @t4085)))) % 3.49/3.70 (define @t4253 () (tptp.hAPP @t2141 @t314)) % 3.49/3.70 (define @t4254 () (tptp.tc_fun @t4068 @t4068)) % 3.49/3.70 (define @t4255 () (tptp.tc_fun tptp.tc_Nat_Onat @t4254)) % 3.49/3.70 (define @t4256 () (tptp.tc_fun tptp.tc_Nat_Onat @t4068)) % 3.49/3.70 (define @t4257 () (tptp.c_Hoare__Mirabelle_Opeek__and @t10 @t55 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t21))) % 3.49/3.70 (define @t4258 () (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Hoare__Mirabelle_Opeek__and @t10 @t55 @t21)) @t20)) % 3.49/3.70 (define @t4259 () (tptp.c_Nitpick_ORep__Frac @t10)) % 3.49/3.70 (define @t4260 () (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t3797) @t566)) % 3.49/3.70 (define @t4261 () (tptp.c_Finite__Set_Ofolding @t10 @t92 @t2 @t3389)) % 3.49/3.70 (define @t4262 () (@list @t349 @t1261 @t3389 @t2 @t92 @t10)) % 3.49/3.70 (define @t4263 () (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t566)) % 3.49/3.70 (define @t4264 () (tptp.hAPP @t4263 @t2371)) % 3.49/3.70 (define @t4265 () (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t2371) @t566)) % 3.49/3.70 (define @t4266 () (tptp.c_Fun_Ocomp @t92 @t92 @t530 @t2371)) % 3.49/3.70 (define @t4267 () (tptp.c_Fun_Ocomp @t92 @t92 @t530 @t566)) % 3.49/3.70 (define @t4268 () (tptp.hAPP @t4267 @t1)) % 3.49/3.70 (define @t4269 () (tptp.c_Fun_Ocomp @t92 @t92 @t530 @t4190)) % 3.49/3.70 (define @t4270 () (tptp.c_Fun_Ocomp @t92 @t92 @t530 @t3793)) % 3.49/3.70 (define @t4271 () (tptp.hAPP @t4270 @t1)) % 3.49/3.70 (define @t4272 () (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t3793)) % 3.49/3.70 (define @t4273 () (tptp.hAPP @t4272 @t4190)) % 3.49/3.70 (define @t4274 () (@list @t1419 @t1261 @t3389 @t2 @t92 @t10)) % 3.49/3.70 (define @t4275 () (tptp.hAPP @t4272 @t566)) % 3.49/3.70 (define @t4276 () (= @t3809 @t4275)) % 3.49/3.70 (define @t4277 () (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t530 @t10 @t205) @t2)) % 3.49/3.70 (define @t4278 () (tptp.hAPP @t4203 @t4277)) % 3.49/3.70 (define @t4279 () (tptp.hAPP @t4202 @t205)) % 3.49/3.70 (define @t4280 () (= @t6 @t3003)) % 3.49/3.70 (define @t4281 () (= @t4 @t267)) % 3.49/3.70 (define @t4282 () (tptp.hAPP @t2725 @t267)) % 3.49/3.70 (define @t4283 () (@list @t55 @t2 @t10 @t92)) % 3.49/3.70 (define @t4284 () (tptp.c_Relation_OImage @t10 @t10 @t1972)) % 3.49/3.70 (define @t4285 () (tptp.c_COMBB @t2309 @t2309 @t10)) % 3.49/3.70 (define @t4286 () (tptp.tc_fun @t2729 @t2729)) % 3.49/3.70 (define @t4287 () (tptp.c_Equiv__Relations_Oquotient @t10)) % 3.49/3.70 (define @t4288 () (tptp.hAPP (tptp.hAPP @t4287 @t1261) @t1972)) % 3.49/3.70 (define @t4289 () (@list @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4290 () (tptp.hAPP @t4284 @t3492)) % 3.49/3.70 (define @t4291 () (tptp.hAPP (tptp.hAPP @t4287 @t3492) @t1972)) % 3.49/3.70 (define @t4292 () (@list @t1972 @t349 @t10)) % 3.49/3.70 (define @t4293 () (tptp.hBOOL (tptp.hAPP @t4151 @t1972))) % 3.49/3.70 (define @t4294 () (=> @t3653 @t4293)) % 3.49/3.70 (define @t4295 () (tptp.hAPP @t4284 @t3467)) % 3.49/3.70 (define @t4296 () (tptp.hAPP @t4284 @t3466)) % 3.49/3.70 (define @t4297 () (tptp.c_Equiv__Relations_Oequiv @t10 @t1261 @t1972)) % 3.49/3.70 (define @t4298 () (tptp.hAPP @t4169 @t171)) % 3.49/3.70 (define @t4299 () (tptp.hBOOL (tptp.hAPP @t4298 @t4288))) % 3.49/3.70 (define @t4300 () (tptp.hBOOL (tptp.hAPP @t3787 @t1972))) % 3.49/3.70 (define @t4301 () (@list @t610 @t349 @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4302 () (tptp.c_Orderings_Otop__class_Otop @t4068)) % 3.49/3.70 (define @t4303 () (@list @t168 @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4304 () (= @t4295 @t4296)) % 3.49/3.70 (define @t4305 () (@list @t21 @t168 @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4306 () (= @t171 @t169)) % 3.49/3.70 (define @t4307 () (tptp.hBOOL (tptp.hAPP @t3655 @t169))) % 3.49/3.70 (define @t4308 () (tptp.hBOOL (tptp.hAPP @t3580 @t171))) % 3.49/3.70 (define @t4309 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t169) @t4288))) % 3.49/3.70 (define @t4310 () (@list @t610 @t349 @t169 @t171 @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4311 () (= @t4290 (tptp.hAPP @t4284 @t3735))) % 3.49/3.70 (define @t4312 () (@var "V_r2_2" $$unsorted)) % 3.49/3.70 (define @t4313 () (tptp.c_Relation_OImage @t92 @t92 @t4312)) % 3.49/3.70 (define @t4314 () (tptp.c_COMBB @t3590 @t2413 @t10)) % 3.49/3.70 (define @t4315 () (tptp.hAPP @t3360 @t33)) % 3.49/3.70 (define @t4316 () (@var "V_r1_2" $$unsorted)) % 3.49/3.70 (define @t4317 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t2413)) % 3.49/3.70 (define @t4318 () (@var "V_A2_2" $$unsorted)) % 3.49/3.70 (define @t4319 () (@var "V_A1_2" $$unsorted)) % 3.49/3.70 (define @t4320 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t92 @t2413 @t4316 @t4312 @t2)) % 3.49/3.70 (define @t4321 () (tptp.c_Equiv__Relations_Oequiv @t92 @t4318 @t4312)) % 3.49/3.70 (define @t4322 () (tptp.c_Equiv__Relations_Oequiv @t10 @t4319 @t4316)) % 3.49/3.70 (define @t4323 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t2682 @t1972 @t2)) % 3.49/3.70 (define @t4324 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2309)) % 3.49/3.70 (define @t4325 () (tptp.hAPP @t4324 @t1261)) % 3.49/3.70 (define @t4326 () (tptp.hAPP @t4325 @t1419)) % 3.49/3.70 (define @t4327 () (tptp.hBOOL (tptp.hAPP @t4326 @t349))) % 3.49/3.70 (define @t4328 () (tptp.hBOOL (tptp.hAPP @t3583 @t4326))) % 3.49/3.70 (define @t4329 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t10)) % 3.49/3.70 (define @t4330 () (tptp.hAPP @t4329 @t349)) % 3.49/3.70 (define @t4331 () (tptp.hAPP @t4330 @t610)) % 3.49/3.70 (define @t4332 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t66)) % 3.49/3.70 (define @t4333 () (tptp.hAPP @t4332 @t101)) % 3.49/3.70 (define @t4334 () (tptp.hAPP @t4332 @t100)) % 3.49/3.70 (define @t4335 () (tptp.hAPP @t4334 @t306)) % 3.49/3.70 (define @t4336 () (tptp.class_Lattices_Odistrib__lattice @t66)) % 3.49/3.70 (define @t4337 () (tptp.hAPP @t4334 @t101)) % 3.49/3.70 (define @t4338 () (tptp.hAPP (tptp.hAPP @t4332 @t3145) @t3150)) % 3.49/3.70 (define @t4339 () (tptp.hAPP @t3139 @t4335)) % 3.49/3.70 (define @t4340 () (tptp.hAPP @t4333 @t306)) % 3.49/3.70 (define @t4341 () (tptp.hAPP @t4333 @t100)) % 3.49/3.70 (define @t4342 () (tptp.hAPP (tptp.hAPP @t3136 @t4341) @t4340)) % 3.49/3.70 (define @t4343 () (tptp.hAPP @t4333 @t3151)) % 3.49/3.70 (define @t4344 () (tptp.hAPP @t3176 @t1261)) % 3.49/3.70 (define @t4345 () (tptp.hAPP @t4324 @t3113)) % 3.49/3.70 (define @t4346 () (tptp.hAPP @t4324 @t2521)) % 3.49/3.70 (define @t4347 () (tptp.hAPP @t4346 @t1261)) % 3.49/3.70 (define @t4348 () (tptp.hAPP @t4324 @t1419)) % 3.49/3.70 (define @t4349 () (tptp.hAPP @t4348 @t2521)) % 3.49/3.70 (define @t4350 () (tptp.hAPP @t3096 @t4326)) % 3.49/3.70 (define @t4351 () (@list @t1261 @t2521 @t1419 @t10)) % 3.49/3.70 (define @t4352 () (tptp.hAPP @t4348 @t1261)) % 3.49/3.70 (define @t4353 () (tptp.hAPP @t4325 @t2521)) % 3.49/3.70 (define @t4354 () (tptp.hAPP @t4325 @t3132)) % 3.49/3.70 (define @t4355 () (= @t4326 @t3465)) % 3.49/3.70 (define @t4356 () (tptp.hAPP @t3361 @t4326)) % 3.49/3.70 (define @t4357 () (@list @t1419 @t1261 @t168 @t10)) % 3.49/3.70 (define @t4358 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2326)) % 3.49/3.70 (define @t4359 () (tptp.hAPP (tptp.hAPP @t4358 @t1261) @t1419)) % 3.49/3.70 (define @t4360 () (tptp.hAPP @t4325 @t4349)) % 3.49/3.70 (define @t4361 () (tptp.hAPP @t4332 @t249)) % 3.49/3.70 (define @t4362 () (tptp.class_Lattices_Osemilattice__inf @t66)) % 3.49/3.70 (define @t4363 () (= (tptp.hAPP @t4333 @t101) @t101)) % 3.49/3.70 (define @t4364 () (tptp.hAPP @t4332 @t272)) % 3.49/3.70 (define @t4365 () (tptp.hAPP @t4361 @t272)) % 3.49/3.70 (define @t4366 () (= @t4341 @t4337)) % 3.49/3.70 (define @t4367 () (= (tptp.hAPP @t4333 @t4341) @t4341)) % 3.49/3.70 (define @t4368 () (tptp.hAPP @t4361 (tptp.hAPP @t4364 @t87))) % 3.49/3.70 (define @t4369 () (tptp.hAPP @t4333 @t4335)) % 3.49/3.70 (define @t4370 () (= @t4369 (tptp.hAPP @t4334 @t4340))) % 3.49/3.70 (define @t4371 () (= (tptp.hAPP (tptp.hAPP @t4332 @t4341) @t306) @t4369)) % 3.49/3.70 (define @t4372 () (tptp.class_Lattices_Osemilattice__inf @t10)) % 3.49/3.70 (define @t4373 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t4365) @t101))) % 3.49/3.70 (define @t4374 () (tptp.hAPP @t2522 @t4353)) % 3.49/3.70 (define @t4375 () (tptp.hAPP @t4374 @t4349)) % 3.49/3.70 (define @t4376 () (tptp.hAPP @t4324 @t2529)) % 3.49/3.70 (define @t4377 () (@list @t1419 @t1261 @t2521 @t10)) % 3.49/3.70 (define @t4378 () (tptp.hBOOL (tptp.hAPP @t914 @t4365))) % 3.49/3.70 (define @t4379 () (tptp.hAPP @t908 @t4365)) % 3.49/3.70 (define @t4380 () (tptp.hBOOL (tptp.hAPP @t4379 @t101))) % 3.49/3.70 (define @t4381 () (tptp.hAPP @t908 @t4341)) % 3.49/3.70 (define @t4382 () (tptp.hBOOL (tptp.hAPP @t4381 @t100))) % 3.49/3.70 (define @t4383 () (tptp.hBOOL (tptp.hAPP @t4381 @t101))) % 3.49/3.70 (define @t4384 () (tptp.hAPP @t2310 @t4326)) % 3.49/3.70 (define @t4385 () (tptp.hBOOL (tptp.hAPP @t3366 @t1261))) % 3.49/3.70 (define @t4386 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2729)) % 3.49/3.70 (define @t4387 () (tptp.hAPP (tptp.hAPP @t3247 @t4324) @t1261)) % 3.49/3.70 (define @t4388 () (tptp.c_COMBB @t2309 @t2309 @t530)) % 3.49/3.70 (define @t4389 () (tptp.hAPP (tptp.c_COMBB @t3246 (tptp.tc_fun @t3280 @t3280) @t92) @t4388)) % 3.49/3.70 (define @t4390 () (tptp.c_COMBC @t92 @t3280 @t3280)) % 3.49/3.70 (define @t4391 () (@var "V_J_2" $$unsorted)) % 3.49/3.70 (define @t4392 () (tptp.hAPP @t3274 @t4391)) % 3.49/3.70 (define @t4393 () (tptp.c_COMBB @t3280 @t2309 @t92)) % 3.49/3.70 (define @t4394 () (@list @t1419 @t4391 @t530 @t1261 @t3286 @t92 @t10)) % 3.49/3.70 (define @t4395 () (tptp.hAPP @t3250 (tptp.hAPP (tptp.hAPP @t3248 @t4387) @t1419))) % 3.49/3.70 (define @t4396 () (tptp.hAPP (tptp.hAPP @t4324 @t3252) @t1419)) % 3.49/3.70 (define @t4397 () (tptp.c_COMBB @t2309 @t2309 @t92)) % 3.49/3.70 (define @t4398 () (@list @t1261 @t3286 @t92 @t1419 @t10)) % 3.49/3.70 (define @t4399 () (tptp.hAPP @t3250 (tptp.hAPP (tptp.hAPP @t4397 @t4325) @t1419))) % 3.49/3.70 (define @t4400 () (tptp.hAPP @t4325 (tptp.hAPP @t3250 @t1419))) % 3.49/3.70 (define @t4401 () (@list @t1419 @t2521 @t92 @t1261 @t10)) % 3.49/3.70 (define @t4402 () (tptp.hAPP @t4332 @t768)) % 3.49/3.70 (define @t4403 () (tptp.hAPP (tptp.hAPP @t4324 @t3362) @t2521)) % 3.49/3.70 (define @t4404 () (tptp.hBOOL (tptp.hAPP @t3595 @t2521))) % 3.49/3.70 (define @t4405 () (=> @t4404 (= @t4403 (tptp.hAPP @t3361 @t4349)))) % 3.49/3.70 (define @t4406 () (@list @t1419 @t2521 @t168 @t10)) % 3.49/3.70 (define @t4407 () (tptp.hAPP @t4325 @t3362)) % 3.49/3.70 (define @t4408 () (=> @t3596 (= @t4407 @t4356))) % 3.49/3.70 (define @t4409 () (=> (not @t4404) (= @t4403 @t4349))) % 3.49/3.70 (define @t4410 () (=> @t3628 (= @t4407 @t4326))) % 3.49/3.70 (define @t4411 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2682)) % 3.49/3.70 (define @t4412 () (tptp.hAPP @t4411 @t1261)) % 3.49/3.70 (define @t4413 () (tptp.hAPP @t4412 @t1419)) % 3.49/3.70 (define @t4414 () (tptp.hAPP @t3096 @t2529)) % 3.49/3.70 (define @t4415 () (tptp.hAPP @t4324 @t3187)) % 3.49/3.70 (define @t4416 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2184)) % 3.49/3.70 (define @t4417 () (tptp.hAPP @t4324 @t2533)) % 3.49/3.70 (define @t4418 () (tptp.hAPP (tptp.hAPP @t4324 @t4209) @t4208)) % 3.49/3.70 (define @t4419 () (tptp.hAPP @t4206 @t4413)) % 3.49/3.70 (define @t4420 () (@list @t1419 @t1261 @t2412 @t92 @t10)) % 3.49/3.70 (define @t4421 () (tptp.hAPP @t4324 @t3191)) % 3.49/3.70 (define @t4422 () (tptp.c_Equiv__Relations_Ocongruent2 @t10 @t92 @t530 @t4316 @t4312 @t2)) % 3.49/3.70 (define @t4423 () (tptp.hAPP @t4329 @t168)) % 3.49/3.70 (define @t4424 () (tptp.hAPP @t2458 @t21)) % 3.49/3.70 (define @t4425 () (tptp.hAPP @t4424 @t809)) % 3.49/3.70 (define @t4426 () (tptp.hAPP @t3939 @t20)) % 3.49/3.70 (define @t4427 () (tptp.hAPP @t4324 @t2909)) % 3.49/3.70 (define @t4428 () (tptp.hAPP @t4324 @t3181)) % 3.49/3.70 (define @t4429 () (tptp.hAPP @t4324 @t3105)) % 3.49/3.70 (define @t4430 () (tptp.hAPP @t4324 @t3095)) % 3.49/3.70 (define @t4431 () (tptp.hAPP @t4324 @t3119)) % 3.49/3.70 (define @t4432 () (tptp.hAPP @t3389 @t3125)) % 3.49/3.70 (define @t4433 () (@list @t1419 @t1261 @t3389 @t1 @t583 @t2 @t92 @t10)) % 3.49/3.70 (define @t4434 () (tptp.hAPP @t3397 (tptp.hAPP @t3041 @t1419))) % 3.49/3.70 (define @t4435 () (tptp.hAPP @t3041 @t3113)) % 3.49/3.70 (define @t4436 () (@list @t1 @t1419 @t1261 @t10 @t92)) % 3.49/3.70 (define @t4437 () (tptp.hAPP @t4018 @t1419)) % 3.49/3.70 (define @t4438 () (tptp.hAPP @t4022 @t4437)) % 3.49/3.70 (define @t4439 () (tptp.hAPP @t4018 @t3113)) % 3.49/3.70 (define @t4440 () (tptp.hAPP @t3064 @t4326)) % 3.49/3.70 (define @t4441 () (tptp.hAPP @t3064 @t3113)) % 3.49/3.70 (define @t4442 () (tptp.hAPP (tptp.hAPP @t260 @t4441) @t4440)) % 3.49/3.70 (define @t4443 () (tptp.hAPP @t3908 @t3408)) % 3.49/3.70 (define @t4444 () (tptp.hAPP @t3646 @t1419)) % 3.49/3.70 (define @t4445 () (tptp.hAPP (tptp.hAPP @t3040 (tptp.hAPP (tptp.hAPP @t3714 (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP @t3712 @t4444)) @t2)) @t3381)) @t1261)) % 3.49/3.70 (define @t4446 () (tptp.hAPP @t3042 @t4326)) % 3.49/3.70 (define @t4447 () (@list @t1419 @t2 @t1261 @t10 @t92)) % 3.49/3.70 (define @t4448 () (tptp.hAPP @t3389 @t4326)) % 3.49/3.70 (define @t4449 () (not @t4355)) % 3.49/3.70 (define @t4450 () (= @t4432 @t4191)) % 3.49/3.70 (define @t4451 () (tptp.c_COMBB @t92 @t2682 @t10)) % 3.49/3.70 (define @t4452 () (tptp.hAPP (tptp.hAPP @t4451 tptp.c_fequal) @t2)) % 3.49/3.70 (define @t4453 () (tptp.c_COMBB @t92 tptp.tc_HOL_Obool @t10)) % 3.49/3.70 (define @t4454 () (tptp.tc_fun @t956 @t2309)) % 3.49/3.70 (define @t4455 () (tptp.hAPP @t3768 @t4)) % 3.49/3.70 (define @t4456 () (tptp.hBOOL (tptp.hAPP @t4455 @t1972))) % 3.49/3.70 (define @t4457 () (tptp.c_Equiv__Relations_Ocongruent @t10 @t92 @t1972 @t2)) % 3.49/3.70 (define @t4458 () (= @t4435 @t4434)) % 3.49/3.70 (define @t4459 () (= @t4439 @t4438)) % 3.49/3.70 (define @t4460 () (= @t4441 @t4443)) % 3.49/3.70 (define @t4461 () (@var "V_z2_2" $$unsorted)) % 3.49/3.70 (define @t4462 () (@var "V_z1_2" $$unsorted)) % 3.49/3.70 (define @t4463 () (@var "V_y2_2" $$unsorted)) % 3.49/3.70 (define @t4464 () (@var "V_y1_2" $$unsorted)) % 3.49/3.70 (define @t4465 () (= @t4192 @t4273)) % 3.49/3.70 (define @t4466 () (tptp.hAPP @t3765 @t610)) % 3.49/3.70 (define @t4467 () (tptp.hAPP @t3768 (tptp.hAPP @t4466 @t583))) % 3.49/3.70 (define @t4468 () (tptp.hAPP @t3262 @t168)) % 3.49/3.70 (define @t4469 () (tptp.hAPP @t3768 (tptp.hAPP @t3766 @t267))) % 3.49/3.70 (define @t4470 () (tptp.hBOOL (tptp.hAPP @t4469 @t1972))) % 3.49/3.70 (define @t4471 () (tptp.hBOOL (tptp.hAPP @t4282 @t1261))) % 3.49/3.70 (define @t4472 () (tptp.hAPP (tptp.hAPP @t3229 @t171) @t2)) % 3.49/3.70 (define @t4473 () (@var "V_X2_2" $$unsorted)) % 3.49/3.70 (define @t4474 () (@var "V_X1_2" $$unsorted)) % 3.49/3.70 (define @t4475 () (tptp.c_member @t2413)) % 3.49/3.70 (define @t4476 () (@var "B_x2" $$unsorted)) % 3.49/3.70 (define @t4477 () (tptp.c_member @t2682)) % 3.49/3.70 (define @t4478 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3424)) % 3.49/3.70 (define @t4479 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2683)) % 3.49/3.70 (define @t4480 () (= @t773 @t199)) % 3.49/3.70 (define @t4481 () (tptp.hBOOL (tptp.hAPP @t2726 @t4326))) % 3.49/3.70 (define @t4482 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4479 @t1261) @t1419) @t349) @t610))) % 3.49/3.70 (define @t4483 () (tptp.c_member @t4068)) % 3.49/3.70 (define @t4484 () (tptp.hAPP (tptp.hAPP @t3096 @t3085) @t4152)) % 3.49/3.70 (define @t4485 () (tptp.hBOOL (tptp.hAPP @t2726 (tptp.hAPP (tptp.hAPP @t4324 @t3085) @t4152)))) % 3.49/3.70 (define @t4486 () (forall @t8 (=> @t4485 @t4155))) % 3.49/3.70 (define @t4487 () (@list @t2 @t4152 @t3085 @t10 @t92)) % 3.49/3.70 (define @t4488 () (forall @t8 (=> @t3039 @t3770))) % 3.49/3.70 (define @t4489 () (tptp.hAPP @t2714 @t4183)) % 3.49/3.70 (define @t4490 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10)) % 3.49/3.70 (define @t4491 () (tptp.hAPP (tptp.c_COMBB @t2189 @t3246 @t10) @t4490)) % 3.49/3.70 (define @t4492 () (tptp.hAPP @t3518 (tptp.hAPP @t4491 @t4489))) % 3.49/3.70 (define @t4493 () (tptp.c_Relation_Orefl__on @t10 @t1261 @t1972)) % 3.49/3.70 (define @t4494 () (tptp.hAPP @t4330 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3537))) % 3.49/3.70 (define @t4495 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t1261)) % 3.49/3.70 (define @t4496 () (tptp.c_Relation_Orefl__on @t10 @t1419 @t18)) % 3.49/3.70 (define @t4497 () (@list @t18 @t1419 @t1972 @t1261 @t10)) % 3.49/3.70 (define @t4498 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3760)) % 3.49/3.70 (define @t4499 () (tptp.hAPP @t4498 @t1972)) % 3.49/3.70 (define @t4500 () (tptp.hAPP @t3155 @t168)) % 3.49/3.70 (define @t4501 () (tptp.hAPP @t4330 @t4495)) % 3.49/3.70 (define @t4502 () (tptp.hAPP @t3768 (tptp.hAPP @t3901 @t168))) % 3.49/3.70 (define @t4503 () (tptp.hBOOL (tptp.hAPP @t4502 @t1972))) % 3.49/3.70 (define @t4504 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3375)) % 3.49/3.70 (define @t4505 () (=> @t3479 (= @t4504 @t4501))) % 3.49/3.70 (define @t4506 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t1419)) % 3.49/3.70 (define @t4507 () (tptp.hAPP (tptp.hAPP @t4329 @t4495) @t4506)) % 3.49/3.70 (define @t4508 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3113)) % 3.49/3.70 (define @t4509 () (= @t4508 @t4507)) % 3.49/3.70 (define @t4510 () (tptp.hAPP (tptp.hAPP @t4329 @t4) @t267)) % 3.49/3.70 (define @t4511 () (tptp.hAPP @t4169 @t4)) % 3.49/3.70 (define @t4512 () (tptp.c_Finite__Set_Ofolding__idem @t10 @t92 @t2 @t3389)) % 3.49/3.70 (define @t4513 () (= (tptp.hAPP @t4263 @t566) @t566)) % 3.49/3.70 (define @t4514 () (tptp.c_Fun_Oinj__on @t10 @t2729 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3760 @t2729) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 (tptp.tc_fun @t3760 @t2729) @t10) @t4287) @t3519)) @t1972) @t1261)) % 3.49/3.70 (define @t4515 () (tptp.c_Finite__Set_Ofold__image @t92 @t10 @t3824)) % 3.49/3.70 (define @t4516 () (tptp.hAPP @t4515 @t1)) % 3.49/3.70 (define @t4517 () (tptp.hAPP @t4516 @t4017)) % 3.49/3.70 (define @t4518 () (tptp.hAPP @t4517 @t1261)) % 3.49/3.70 (define @t4519 () (tptp.hAPP @t3824 @t4518)) % 3.49/3.70 (define @t4520 () (tptp.hAPP @t4519 (tptp.hAPP @t4517 @t1419))) % 3.49/3.70 (define @t4521 () (tptp.hAPP @t4517 @t3113)) % 3.49/3.70 (define @t4522 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t1419)) % 3.49/3.70 (define @t4523 () (@list @t1261 @t1419 @t2 @t92 @t10)) % 3.49/3.70 (define @t4524 () (= @t566 @t2371)) % 3.49/3.70 (define @t4525 () (not @t4524)) % 3.49/3.70 (define @t4526 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t1261)) % 3.49/3.70 (define @t4527 () (@list @t610 @t349 @t1261 @t2 @t92 @t10)) % 3.49/3.70 (define @t4528 () (= @t4524 @t620)) % 3.49/3.70 (define @t4529 () (= (= @t3014 @t3013) @t2437)) % 3.49/3.70 (define @t4530 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t3113)) % 3.49/3.70 (define @t4531 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t92 @t530 @t2) @t1)) % 3.49/3.70 (define @t4532 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t3318)) % 3.49/3.70 (define @t4533 () (@list @t1 @t530 @t2 @t92 @t10)) % 3.49/3.70 (define @t4534 () (tptp.c_Set_Oimage @t10 @t530 @t2)) % 3.49/3.70 (define @t4535 () (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t92 @t10 @t1) @t2)) % 3.49/3.70 (define @t4536 () (tptp.c_Fun_Ocomp @t92 @t530 @t10 @t1)) % 3.49/3.70 (define @t4537 () (= @t3454 @t3065)) % 3.49/3.70 (define @t4538 () (tptp.c_Groups_Otimes__class_Otimes @t530)) % 3.49/3.70 (define @t4539 () (tptp.c_Finite__Set_Ofold__image @t530 @t10 @t4538)) % 3.49/3.70 (define @t4540 () (tptp.c_Finite__Set_Ofold__image @t530 @t92 @t4538)) % 3.49/3.70 (define @t4541 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t10 @t92 @t2) @t1)) % 3.49/3.70 (define @t4542 () (tptp.hAPP @t4541 @t583)) % 3.49/3.70 (define @t4543 () (tptp.c_Fun_Oinj__on @t92 @t10 @t2 @t1261)) % 3.49/3.70 (define @t4544 () (tptp.hAPP @t2412 @t4)) % 3.49/3.70 (define @t4545 () (tptp.c_Equiv__Relations_Oequivp @t10 @t2412)) % 3.49/3.70 (define @t4546 () (@list @t2412 @t10)) % 3.49/3.70 (define @t4547 () (tptp.hAPP @t2412 @t610)) % 3.49/3.70 (define @t4548 () (tptp.hBOOL (tptp.hAPP @t3917 @t610))) % 3.49/3.70 (define @t4549 () (tptp.tc_fun @t530 @t92)) % 3.49/3.70 (define @t4550 () (tptp.hAPP @t3262 @t2354)) % 3.49/3.70 (define @t4551 () (= @t267 @t4)) % 3.49/3.70 (define @t4552 () (tptp.hAPP @t4542 @t1261)) % 3.49/3.70 (define @t4553 () (@var "B_g" $$unsorted)) % 3.49/3.70 (define @t4554 () (tptp.hAPP @t3009 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t92 @t4176) @t1261))) % 3.49/3.70 (define @t4555 () (tptp.c_Fun_Oinj__on @t10 @t92 @t4176 @t1261)) % 3.49/3.70 (define @t4556 () (tptp.c_Set_Oimage @t10 @t10 @t2)) % 3.49/3.70 (define @t4557 () (tptp.hAPP @t4556 @t1261)) % 3.49/3.70 (define @t4558 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t1261)) % 3.49/3.70 (define @t4559 () (tptp.c_Fun_Oinj__on @t10 @t10 @t2 @t3318)) % 3.49/3.70 (define @t4560 () (= (tptp.hAPP @t4556 @t3318) @t3318)) % 3.49/3.70 (define @t4561 () (= (tptp.hAPP @t3012 @t4326) (tptp.hAPP (tptp.hAPP @t4411 @t3014) @t3013))) % 3.49/3.70 (define @t4562 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t2521)) % 3.49/3.70 (define @t4563 () (@list @t1419 @t1261 @t2521 @t2 @t92 @t10)) % 3.49/3.70 (define @t4564 () (tptp.hAPP @t3012 @t2529)) % 3.49/3.70 (define @t4565 () (= @t4564 (tptp.hAPP (tptp.hAPP @t3028 @t3014) @t3013))) % 3.49/3.70 (define @t4566 () (@list @t205 @t1419 @t2 @t92 @t10 @t530)) % 3.49/3.70 (define @t4567 () (tptp.hBOOL (tptp.hAPP @t3658 @t3014))) % 3.49/3.70 (define @t4568 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t10 @t530)) % 3.49/3.70 (define @t4569 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t92 @t530)) % 3.49/3.70 (define @t4570 () (tptp.hAPP @t4569 @t205)) % 3.49/3.70 (define @t4571 () (tptp.class_Groups_Ocomm__monoid__mult @t530)) % 3.49/3.70 (define @t4572 () (= (tptp.hAPP @t4570 @t1419) (tptp.hAPP (tptp.hAPP @t4568 @t1) @t1261))) % 3.49/3.70 (define @t4573 () (= @t1419 @t3014)) % 3.49/3.70 (define @t4574 () (@list @t205 @t1 @t1419 @t1261 @t2 @t92 @t10 @t530)) % 3.49/3.70 (define @t4575 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t92 @t10 @t1) @t205)) % 3.49/3.70 (define @t4576 () (tptp.hAPP @t4111 @t1261)) % 3.49/3.70 (define @t4577 () (tptp.c_Fun_Oinj__on @t10 @t10 @t205 @t1261)) % 3.49/3.70 (define @t4578 () (@list @t1 @t205 @t1261 @t10 @t92)) % 3.49/3.70 (define @t4579 () (tptp.hBOOL (tptp.hAPP @t3015 @t1419))) % 3.49/3.70 (define @t4580 () (tptp.hAPP @t4515 @t205)) % 3.49/3.70 (define @t4581 () (tptp.hAPP @t4516 @t583)) % 3.49/3.70 (define @t4582 () (tptp.hAPP @t4581 @t1261)) % 3.49/3.70 (define @t4583 () (tptp.hAPP @t1 @t168)) % 3.49/3.70 (define @t4584 () (tptp.class_Groups_Oab__semigroup__mult @t92)) % 3.49/3.70 (define @t4585 () (=> @t3355 (= @t3382 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t92 @t10 @t3396) @t1) @t3381) @t1261)))) % 3.49/3.70 (define @t4586 () (=> @t3355 (= @t4019 @t4518))) % 3.49/3.70 (define @t4587 () (tptp.hBOOL (tptp.hAPP @t3452 @t3907))) % 3.49/3.70 (define @t4588 () (=> @t3355 (= @t3065 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t10 @t260) @t3063) @t199) @t1261)))) % 3.49/3.70 (define @t4589 () (tptp.hAPP @t3389 @t1)) % 3.49/3.70 (define @t4590 () (tptp.hAPP @t4589 @t1261)) % 3.49/3.70 (define @t4591 () (=> (not @t3794) (= @t4590 @t583))) % 3.49/3.70 (define @t4592 () (=> @t3794 (= @t4590 @t4552))) % 3.49/3.70 (define @t4593 () (tptp.c_Big__Operators_Ocomm__monoid__big @t10 @t92 @t2 @t583 @t3389)) % 3.49/3.70 (define @t4594 () (@list @t1 @t1261 @t3389 @t583 @t2 @t92 @t10)) % 3.49/3.70 (define @t4595 () (tptp.c_Finite__Set_Ofolding__image @t10 @t92 @t2 @t583 @t3389)) % 3.49/3.70 (define @t4596 () (tptp.hAPP (tptp.hAPP @t4515 @t2) @t4017)) % 3.49/3.70 (define @t4597 () (tptp.hAPP @t4596 @t3085)) % 3.49/3.70 (define @t4598 () (tptp.hAPP (tptp.c_COMBC @t92 @t10 @t2625) @t2545)) % 3.49/3.70 (define @t4599 () (tptp.hAPP (tptp.hAPP @t2838 @t2) @t1)) % 3.49/3.70 (define @t4600 () (tptp.hAPP (tptp.c_Set_Oimage @t530 @t10 @t1) @t1261)) % 3.49/3.70 (define @t4601 () (tptp.c_Fun_Othe__inv__into @t10 @t92 @t1261 @t2)) % 3.49/3.70 (define @t4602 () (tptp.hAPP @t4601 @t349)) % 3.49/3.70 (define @t4603 () (tptp.c_COMBC @t10 @t92 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4604 () (tptp.hAPP @t4603 @t4452)) % 3.49/3.70 (define @t4605 () (tptp.c_Set_Ovimage @t10 @t92 @t2)) % 3.49/3.70 (define @t4606 () (tptp.hAPP @t4605 @t3516)) % 3.49/3.70 (define @t4607 () (@list @t168 @t2 @t92 @t10)) % 3.49/3.70 (define @t4608 () (tptp.c_Set_Ovimage @t92 @t10 @t2)) % 3.49/3.70 (define @t4609 () (tptp.hAPP @t4608 @t1419)) % 3.49/3.70 (define @t4610 () (= @t2354 @t21)) % 3.49/3.70 (define @t4611 () (tptp.hAPP @t4605 @t1419)) % 3.49/3.70 (define @t4612 () (tptp.hAPP @t4605 @t1261)) % 3.49/3.70 (define @t4613 () (tptp.hAPP @t4608 @t1261)) % 3.49/3.70 (define @t4614 () (tptp.hAPP @t3008 @t4613)) % 3.49/3.70 (define @t4615 () (@list @t349 @t1261 @t2 @t92 @t10)) % 3.49/3.70 (define @t4616 () (tptp.hAPP (tptp.hAPP @t3295 @t4605) @t1419)) % 3.49/3.70 (define @t4617 () (@list @t1419 @t1261 @t530 @t2 @t92 @t10)) % 3.49/3.70 (define @t4618 () (tptp.hAPP @t3378 @t21)) % 3.49/3.70 (define @t4619 () (tptp.hAPP (tptp.c_Set_Ovimage @t92 @t10 @t4213) @t1261)) % 3.49/3.70 (define @t4620 () (@list @t1419 @t2 @t92 @t10)) % 3.49/3.70 (define @t4621 () (tptp.hAPP @t4601 @t610)) % 3.49/3.70 (define @t4622 () (tptp.c_COMBS @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4623 () (tptp.hAPP @t4622 @t4489)) % 3.49/3.70 (define @t4624 () (tptp.hAPP @t3704 @t1419)) % 3.49/3.70 (define @t4625 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2204 @t92) @t2202)) % 3.49/3.70 (define @t4626 () (tptp.hAPP (tptp.c_Set_Ovimage @t92 @t10 (tptp.hAPP (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t10 @t2203) (tptp.hAPP @t4625 @t4624)) @t20)) @t809)) @t1261)) % 3.49/3.70 (define @t4627 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t809) @t1261))) % 3.49/3.70 (define @t4628 () (not @t4627)) % 3.49/3.70 (define @t4629 () (tptp.c_Map_Odom @t10 @t92 @t2)) % 3.49/3.70 (define @t4630 () (not @t3653)) % 3.49/3.70 (define @t4631 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t704 @t21 @t1261)) % 3.49/3.70 (define @t4632 () (tptp.class_Groups_Oab__semigroup__mult @t10)) % 3.49/3.70 (define @t4633 () (tptp.c_Finite__Set_Ofold__graph @t10 @t92 @t2 @t583 @t1261)) % 3.49/3.70 (define @t4634 () (tptp.hBOOL (tptp.hAPP @t4633 @t349))) % 3.49/3.70 (define @t4635 () (tptp.c_Finite__Set_Ofold__graph @t10 @t92 @t2 @t583 @t3465)) % 3.49/3.70 (define @t4636 () (= @t349 @t583)) % 3.49/3.70 (define @t4637 () (tptp.c_Map_Odom @t10 @t92 @t314)) % 3.49/3.70 (define @t4638 () (tptp.c_Map_Odom @t92 @t10 @t2)) % 3.49/3.70 (define @t4639 () (tptp.hAPP @t3789 @t4638)) % 3.49/3.70 (define @t4640 () (tptp.c_Finite__Set_Ofold__graph @t10 @t92 @t2 @t583 @t3375)) % 3.49/3.70 (define @t4641 () (tptp.hBOOL (tptp.hAPP @t4633 @t610))) % 3.49/3.70 (define @t4642 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t3967 @t10) @t387) @t2)) % 3.49/3.70 (define @t4643 () (tptp.hAPP @t3028 @t4638)) % 3.49/3.70 (define @t4644 () (@list @t610 @t349 @t1261 @t583 @t2 @t92 @t10)) % 3.49/3.70 (define @t4645 () (tptp.c_Map_Odom @t92 @t10 (tptp.hAPP (tptp.hAPP @t3965 @t349) @t610))) % 3.49/3.70 (define @t4646 () (= @t610 @t356)) % 3.49/3.70 (define @t4647 () (tptp.c_Wellfounded_Oacc @t10 @t1972)) % 3.49/3.70 (define @t4648 () (tptp.hBOOL (tptp.hAPP @t3580 @t4647))) % 3.49/3.70 (define @t4649 () (tptp.hAPP @t4101 @t1972)) % 3.49/3.70 (define @t4650 () (@list @t349 @t1972 @t10)) % 3.49/3.70 (define @t4651 () (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t1261)) % 3.49/3.70 (define @t4652 () (tptp.hBOOL (tptp.hAPP @t3595 @t4647))) % 3.49/3.70 (define @t4653 () (tptp.hBOOL (tptp.hAPP @t3606 @t4647))) % 3.49/3.70 (define @t4654 () (tptp.hBOOL (tptp.hAPP @t2726 @t4647))) % 3.49/3.70 (define @t4655 () (@list @t1972 @t168 @t10)) % 3.49/3.70 (define @t4656 () (tptp.hBOOL (tptp.hAPP @t3261 @t29))) % 3.49/3.70 (define @t4657 () (tptp.hBOOL (tptp.hAPP @t2726 @t33))) % 3.49/3.70 (define @t4658 () (not @t3897)) % 3.49/3.70 (define @t4659 () (tptp.hBOOL (tptp.hAPP @t3349 @t29))) % 3.49/3.70 (define @t4660 () (tptp.hBOOL (tptp.hAPP @t3349 @t33))) % 3.49/3.70 (define @t4661 () (tptp.hAPP @t3768 (tptp.hAPP @t3766 @t2967))) % 3.49/3.70 (define @t4662 () (tptp.hBOOL (tptp.hAPP @t4661 @t2412))) % 3.49/3.70 (define @t4663 () (tptp.hBOOL (tptp.hAPP @t3349 @t171))) % 3.49/3.70 (define @t4664 () (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t402 @t4186)) % 3.49/3.70 (define @t4665 () (tptp.hAPP @t4185 @t4186)) % 3.49/3.70 (define @t4666 () (tptp.hAPP @t4315 @t29)) % 3.49/3.70 (define @t4667 () (tptp.hAPP @t3361 @t171)) % 3.49/3.70 (define @t4668 () (tptp.tc_fun @t2413 @t2413)) % 3.49/3.70 (define @t4669 () (tptp.c_Product__Type_OSigma @t10 @t92)) % 3.49/3.70 (define @t4670 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2390 @t530) @t2349) @t2)) % 3.49/3.70 (define @t4671 () (tptp.c_Finite__Set_Ofold1 @t10 @t704)) % 3.49/3.70 (define @t4672 () (tptp.hAPP @t4671 @t1261)) % 3.49/3.70 (define @t4673 () (= (tptp.hAPP @t4671 @t3113) (tptp.hAPP (tptp.hAPP @t704 @t4672) (tptp.hAPP @t4671 @t1419)))) % 3.49/3.70 (define @t4674 () (tptp.c_Finite__Set_Ofold1 @t10 @t2458)) % 3.49/3.70 (define @t4675 () (tptp.hAPP @t4674 @t1261)) % 3.49/3.70 (define @t4676 () (tptp.hAPP @t4669 @t1261)) % 3.49/3.70 (define @t4677 () (tptp.hAPP @t4676 @t1419)) % 3.49/3.70 (define @t4678 () (tptp.hBOOL (tptp.hAPP @t3624 @t4677))) % 3.49/3.70 (define @t4679 () (tptp.hAPP (tptp.hAPP @t4669 @t4391) @t2521)) % 3.49/3.70 (define @t4680 () (tptp.hAPP @t4669 @t3286)) % 3.49/3.70 (define @t4681 () (tptp.hAPP @t4680 @t2521)) % 3.49/3.70 (define @t4682 () (tptp.c_Groups_Ominus__class_Ominus @t3424)) % 3.49/3.70 (define @t4683 () (@list @t2521 @t4391 @t3286 @t92 @t10)) % 3.49/3.70 (define @t4684 () (tptp.hAPP @t3483 @t2521)) % 3.49/3.70 (define @t4685 () (tptp.hAPP @t4669 @t1419)) % 3.49/3.70 (define @t4686 () (tptp.hAPP @t4685 @t4684)) % 3.49/3.70 (define @t4687 () (tptp.hAPP @t4676 @t4684)) % 3.49/3.70 (define @t4688 () (@list @t2521 @t1419 @t1261 @t92 @t10)) % 3.49/3.70 (define @t4689 () (tptp.hAPP @t4680 @t1419)) % 3.49/3.70 (define @t4690 () (tptp.hAPP @t4680 @t1261)) % 3.49/3.70 (define @t4691 () (tptp.hAPP (tptp.hAPP @t3522 @t3028) @t1261)) % 3.49/3.70 (define @t4692 () (tptp.c_COMBS @t10 @t2682 @t2682)) % 3.49/3.70 (define @t4693 () (tptp.hAPP @t3487 @t2521)) % 3.49/3.70 (define @t4694 () (tptp.c_Product__Type_OSigma @t92 @t10)) % 3.49/3.70 (define @t4695 () (tptp.hAPP (tptp.hAPP @t4694 @t1419) @t4693)) % 3.49/3.70 (define @t4696 () (tptp.hAPP @t4694 @t1261)) % 3.49/3.70 (define @t4697 () (tptp.hAPP @t4696 @t4693)) % 3.49/3.70 (define @t4698 () (tptp.hBOOL (tptp.hAPP @t3580 @t2521))) % 3.49/3.70 (define @t4699 () (@list @t1419 @t1261 @t92 @t2521 @t349 @t10)) % 3.49/3.70 (define @t4700 () (tptp.hAPP @t3483 @t1419)) % 3.49/3.70 (define @t4701 () (tptp.hAPP @t4676 @t4700)) % 3.49/3.70 (define @t4702 () (tptp.c_Finite__Set_Ocard @t2388)) % 3.49/3.70 (define @t4703 () (tptp.c_COMBK @t2413 @t92)) % 3.49/3.70 (define @t4704 () (tptp.c_Product__Type_OSigma @t92 @t530)) % 3.49/3.70 (define @t4705 () (tptp.hAPP (tptp.hAPP @t4704 @t1261) (tptp.hAPP @t4703 @t1419))) % 3.49/3.70 (define @t4706 () (tptp.hAPP @t3483 @t3322)) % 3.49/3.70 (define @t4707 () (tptp.c_Groups_Ouminus__class_Ouminus @t3424)) % 3.49/3.70 (define @t4708 () (tptp.hAPP @t4669 @t3318)) % 3.49/3.70 (define @t4709 () (tptp.hAPP @t3483 @t1261)) % 3.49/3.70 (define @t4710 () (tptp.hAPP @t4696 (tptp.hAPP @t3487 @t1419))) % 3.49/3.70 (define @t4711 () (tptp.hAPP (tptp.c_COMBC @t10 @t92 @t2388) @t2349)) % 3.49/3.70 (define @t4712 () (tptp.c_Finite__Set_Ofold1 @t10 @t2)) % 3.49/3.70 (define @t4713 () (tptp.hBOOL (tptp.hAPP @t3426 @t4701))) % 3.49/3.70 (define @t4714 () (tptp.c_COMBK @t2309 @t10)) % 3.49/3.70 (define @t4715 () (tptp.c_Product__Type_OSigma @t10 @t10)) % 3.49/3.70 (define @t4716 () (tptp.hAPP (tptp.hAPP @t4715 @t1261) (tptp.hAPP @t4714 @t1261))) % 3.49/3.70 (define @t4717 () (tptp.hBOOL (tptp.hAPP @t4143 @t4716))) % 3.49/3.70 (define @t4718 () (tptp.hAPP (tptp.hAPP @t3522 @t4411) @t1261)) % 3.49/3.70 (define @t4719 () (@list @t1419 @t1261 @t21 @t168 @t92 @t10)) % 3.49/3.70 (define @t4720 () (tptp.hAPP @t4712 @t1261)) % 3.49/3.70 (define @t4721 () (=> @t3355 (= @t3793 @t4720))) % 3.49/3.70 (define @t4722 () (tptp.hAPP @t3009 @t1261)) % 3.49/3.70 (define @t4723 () (tptp.c_Orderings_Oord__class_Oless__eq @t4235)) % 3.49/3.70 (define @t4724 () (tptp.hAPP @t3711 @t1972)) % 3.49/3.70 (define @t4725 () (tptp.hBOOL (tptp.hAPP @t4724 @t4701))) % 3.49/3.70 (define @t4726 () (tptp.c_Set_Oimage @t2625 @t92 @t2548)) % 3.49/3.70 (define @t4727 () (tptp.hAPP @t4726 @t4710)) % 3.49/3.70 (define @t4728 () (tptp.c_Set_Oimage @t2388 @t92 @t2504)) % 3.49/3.70 (define @t4729 () (tptp.hAPP @t4728 @t4701)) % 3.49/3.70 (define @t4730 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t4329) @t1261)) % 3.49/3.70 (define @t4731 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t2569) @t1261)) % 3.49/3.70 (define @t4732 () (tptp.hAPP @t4669 @t3414)) % 3.49/3.70 (define @t4733 () (tptp.hAPP @t3483 (tptp.hAPP @t4618 @t1419))) % 3.49/3.70 (define @t4734 () (tptp.c_Set_Oinsert @t2388)) % 3.49/3.70 (define @t4735 () (tptp.hAPP @t4734 @t2351)) % 3.49/3.70 (define @t4736 () (@var "V_E_2" $$unsorted)) % 3.49/3.70 (define @t4737 () (tptp.tc_fun @t2683 @t3424)) % 3.49/3.70 (define @t4738 () (tptp.tc_fun @t2394 @t3424)) % 3.49/3.70 (define @t4739 () (tptp.tc_fun @t2394 @t2683)) % 3.49/3.70 (define @t4740 () (tptp.tc_fun @t2394 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4741 () (tptp.tc_fun @t3424 @t3424)) % 3.49/3.70 (define @t4742 () (tptp.tc_fun @t92 @t4741)) % 3.49/3.70 (define @t4743 () (tptp.tc_fun @t92 @t3424)) % 3.49/3.70 (define @t4744 () (tptp.hBOOL (tptp.hAPP @t967 @t4))) % 3.49/3.70 (define @t4745 () (forall @t8 (=> @t3039 @t4744))) % 3.49/3.70 (define @t4746 () (tptp.hAPP @t964 @t4675)) % 3.49/3.70 (define @t4747 () (= (tptp.hAPP @t4671 @t3375) (tptp.hAPP @t712 @t4672))) % 3.49/3.70 (define @t4748 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 3.49/3.70 (define @t4749 () (tptp.hAPP @t964 @t4)) % 3.49/3.70 (define @t4750 () (@list @t1261 @t1972 @t10)) % 3.49/3.70 (define @t4751 () (tptp.tc_fun @t2682 @t530)) % 3.49/3.70 (define @t4752 () (tptp.c_COMBB @t2389 @t4751 @t10)) % 3.49/3.70 (define @t4753 () (tptp.c_COMBS @t10 @t2682 @t530)) % 3.49/3.70 (define @t4754 () (tptp.hAPP @t4753 (tptp.hAPP (tptp.hAPP @t4752 @t4202) @t2))) % 3.49/3.70 (define @t4755 () (tptp.c_Groups_Oone__class_Oone @t530)) % 3.49/3.70 (define @t4756 () (tptp.hAPP (tptp.c_COMBB @t2682 tptp.tc_Nat_Onat @t10) @t3068)) % 3.49/3.70 (define @t4757 () (tptp.hAPP (tptp.hAPP @t704 @t4) @t267)) % 3.49/3.70 (define @t4758 () (forall @t403 (=> @t4197 (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP @t1419 @t402)))))) % 3.49/3.70 (define @t4759 () (tptp.hAPP @t2349 @t4)) % 3.49/3.70 (define @t4760 () (tptp.hAPP @t4759 @t267)) % 3.49/3.70 (define @t4761 () (tptp.hAPP @t3623 @t20)) % 3.49/3.70 (define @t4762 () (tptp.tc_prod @t10 @t530)) % 3.49/3.70 (define @t4763 () (tptp.tc_fun @t4762 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4764 () (tptp.tc_prod @t92 @t2394)) % 3.49/3.70 (define @t4765 () (tptp.c_Set_Oimage @t4764 @t4762 (tptp.c_Product__Type_Omap__pair @t92 @t10 @t2394 @t530 @t2 @t1))) % 3.49/3.70 (define @t4766 () (tptp.c_Set_Oimage @t2394 @t530 @t1)) % 3.49/3.70 (define @t4767 () (tptp.c_COMBK @t2413 @t10)) % 3.49/3.70 (define @t4768 () (tptp.c_Product__Type_OSigma @t10 @t530)) % 3.49/3.70 (define @t4769 () (tptp.hAPP @t4768 @t1261)) % 3.49/3.70 (define @t4770 () (tptp.c_Product__Type_Omap__pair @t10 @t530 @t92 @t2394 @t2 @t1)) % 3.49/3.70 (define @t4771 () (tptp.hAPP @t1 @t21)) % 3.49/3.70 (define @t4772 () (tptp.c_Product__Type_OPair @t530 @t2394)) % 3.49/3.70 (define @t4773 () (tptp.c_member @t2634)) % 3.49/3.70 (define @t4774 () (tptp.tc_prod @t2394 @t530)) % 3.49/3.70 (define @t4775 () (@var "V_prod_2" $$unsorted)) % 3.49/3.70 (define @t4776 () (tptp.c_Product__Type_Omap__pair @t530 @t10 @t2394 @t92 @t2 @t1)) % 3.49/3.70 (define @t4777 () (tptp.tc_prod @t2392 @t2630)) % 3.49/3.70 (define @t4778 () (tptp.c_Product__Type_Omap__pair @t10 @t10 @t92 @t92 @t2159 (tptp.c_COMBI @t92))) % 3.49/3.70 (define @t4779 () (tptp.tc_fun @t2394 @t2634)) % 3.49/3.70 (define @t4780 () (tptp.tc_fun @t92 @t2634)) % 3.49/3.70 (define @t4781 () (tptp.tc_fun @t92 @t2394)) % 3.49/3.70 (define @t4782 () (@var "V_B_H_2" $$unsorted)) % 3.49/3.70 (define @t4783 () (tptp.hAPP tptp.c_Int_ORep__Integ @t4)) % 3.49/3.70 (define @t4784 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4483 @t610) tptp.c_Int_OInteg))) % 3.49/3.70 (define @t4785 () (tptp.c_COMBC @t2309 @t2309 @t2309)) % 3.49/3.70 (define @t4786 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t3246 @t10) (tptp.hAPP @t4785 @t2522)) @t3519)) % 3.49/3.70 (define @t4787 () (tptp.hAPP @t2883 @t404)) % 3.49/3.70 (define @t4788 () (tptp.c_COMBC tptp.tc_Nat_Onat @t2184 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4789 () (tptp.hAPP @t4788 @t2931)) % 3.49/3.70 (define @t4790 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t4791 () (tptp.hAPP @t3081 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t2886 (tptp.hAPP @t2884 (tptp.hAPP @t4789 @t3214))) (tptp.hAPP @t4787 @t3054))))) % 3.49/3.70 (define @t4792 () (tptp.hAPP @t4787 @t143)) % 3.49/3.70 (define @t4793 () (tptp.tc_fun @t2184 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4794 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4793 tptp.tc_Nat_Onat) @t2931)) % 3.49/3.70 (define @t4795 () (tptp.hAPP @t4788 (tptp.hAPP @t4794 tptp.c_Nat_OSuc))) % 3.49/3.70 (define @t4796 () (tptp.hAPP @t3081 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t2886 (tptp.hAPP @t2884 (tptp.hAPP @t4795 @t3214))) @t4792)))) % 3.49/3.70 (define @t4797 () (tptp.hAPP @t2931 @t199)) % 3.49/3.70 (define @t4798 () (tptp.hBOOL (tptp.hAPP @t4797 @t3214))) % 3.49/3.70 (define @t4799 () (@list @t143 @t3214)) % 3.49/3.70 (define @t4800 () (tptp.c_Set_OCollect @t10)) % 3.49/3.70 (define @t4801 () (tptp.hAPP @t4800 @t55)) % 3.49/3.70 (define @t4802 () (tptp.hBOOL (tptp.hAPP @t3595 @t4801))) % 3.49/3.70 (define @t4803 () (tptp.hBOOL (tptp.hAPP @t55 @t168))) % 3.49/3.70 (define @t4804 () (@list @t10 @t168 @t55)) % 3.49/3.70 (define @t4805 () (tptp.hAPP @t2714 @t55)) % 3.49/3.70 (define @t4806 () (tptp.hAPP @t4622 @t4805)) % 3.49/3.70 (define @t4807 () (tptp.hAPP @t4800 (tptp.hAPP @t4806 @t51))) % 3.49/3.70 (define @t4808 () (tptp.hAPP @t4800 @t51)) % 3.49/3.70 (define @t4809 () (tptp.hBOOL (tptp.hAPP @t3349 @t4808))) % 3.49/3.70 (define @t4810 () (tptp.hBOOL (tptp.hAPP @t3349 @t4801))) % 3.49/3.70 (define @t4811 () (@list @t51 @t55 @t10)) % 3.49/3.70 (define @t4812 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t92 @t2)) % 3.49/3.70 (define @t4813 () (tptp.c_Set_OCollect @t92)) % 3.49/3.70 (define @t4814 () (tptp.hAPP @t4669 @t4801)) % 3.49/3.70 (define @t4815 () (tptp.hAPP @t2717 @t4805)) % 3.49/3.70 (define @t4816 () (tptp.c_Set_OCollect @t2388)) % 3.49/3.70 (define @t4817 () (@list @t51 @t55 @t92 @t10)) % 3.49/3.70 (define @t4818 () (tptp.hAPP @t3508 @t4813)) % 3.49/3.70 (define @t4819 () (tptp.hAPP @t4813 @t55)) % 3.49/3.70 (define @t4820 () (tptp.hAPP @t2532 @t4801)) % 3.49/3.70 (define @t4821 () (tptp.hAPP @t4490 tptp.c_fNot)) % 3.49/3.70 (define @t4822 () (tptp.hAPP @t4821 @t55)) % 3.49/3.70 (define @t4823 () (tptp.hAPP @t4800 @t4822)) % 3.49/3.70 (define @t4824 () (@list @t55 @t10)) % 3.49/3.70 (define @t4825 () (tptp.hAPP @t2713 tptp.c_fdisj)) % 3.49/3.70 (define @t4826 () (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4825 @t55)) @t51))) % 3.49/3.70 (define @t4827 () (@list @t55 @t168 @t10)) % 3.49/3.70 (define @t4828 () (not @t1095)) % 3.49/3.70 (define @t4829 () (forall @t8 @t4828)) % 3.49/3.70 (define @t4830 () (tptp.c_COMBK tptp.tc_HOL_Obool @t10)) % 3.49/3.70 (define @t4831 () (tptp.hAPP @t4830 tptp.c_fFalse)) % 3.49/3.70 (define @t4832 () (tptp.hAPP @t2713 tptp.c_fimplies)) % 3.49/3.70 (define @t4833 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3398 @t530) @t2) @t1)) % 3.49/3.70 (define @t4834 () (tptp.hAPP @t566 @t583)) % 3.49/3.70 (define @t4835 () (tptp.hAPP @t4325 @t4801)) % 3.49/3.70 (define @t4836 () (tptp.hAPP @t4800 (tptp.hAPP @t4623 @t4444))) % 3.49/3.70 (define @t4837 () (tptp.hAPP @t4800 @t2723)) % 3.49/3.70 (define @t4838 () (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t2714 @t2408)) @t55))) % 3.49/3.70 (define @t4839 () (not @t4803)) % 3.49/3.70 (define @t4840 () (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t2714 @t2723)) @t55))) % 3.49/3.70 (define @t4841 () (tptp.tc_fun @t3967 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4842 () (tptp.hAPP (tptp.c_COMBB @t3967 @t4841 @t10) tptp.c_fequal)) % 3.49/3.70 (define @t4843 () (@list @t314 @t92 @t10)) % 3.49/3.70 (define @t4844 () (tptp.hAPP @t4603 @t2412)) % 3.49/3.70 (define @t4845 () (tptp.hAPP @t4622 (tptp.hAPP @t2714 @t3647))) % 3.49/3.70 (define @t4846 () (tptp.hAPP @t4397 @t4800)) % 3.49/3.70 (define @t4847 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 @t92)) % 3.49/3.70 (define @t4848 () (tptp.hAPP @t4847 tptp.c_fconj)) % 3.49/3.70 (define @t4849 () (tptp.c_COMBS @t92 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4850 () (tptp.hAPP @t4818 (tptp.hAPP (tptp.hAPP @t3508 (tptp.hAPP @t4849 (tptp.hAPP @t4848 (tptp.hAPP @t3704 @t4152)))) @t2412))) % 3.49/3.70 (define @t4851 () (tptp.hBOOL (tptp.hAPP @t3418 @t4152))) % 3.49/3.70 (define @t4852 () (tptp.hAPP @t2715 tptp.c_fNot)) % 3.49/3.70 (define @t4853 () (tptp.hAPP @t4411 @t3085)) % 3.49/3.70 (define @t4854 () (tptp.c_Map_Odom @t10 @t92 @t1)) % 3.49/3.70 (define @t4855 () (tptp.tc_fun @t3967 @t3967)) % 3.49/3.70 (define @t4856 () (tptp.tc_fun @t4235 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4857 () (tptp.hAPP @t4844 @t4)) % 3.49/3.70 (define @t4858 () (tptp.c_Set_OCollect @t2309)) % 3.49/3.70 (define @t4859 () (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2309 @t2309 tptp.tc_HOL_Obool) @t2310) @t1261))) % 3.49/3.70 (define @t4860 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t10 @t92 @t2 @t1 @t1261) @t168)) % 3.49/3.70 (define @t4861 () (=> @t3596 (= @t4860 @t4583))) % 3.49/3.70 (define @t4862 () (@list @t1 @t2 @t92 @t1261 @t168 @t10)) % 3.49/3.70 (define @t4863 () (=> @t3628 (= @t4860 @t2354))) % 3.49/3.70 (define @t4864 () (@list @t1 @t2 @t92 @t10)) % 3.49/3.70 (define @t4865 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 3.49/3.70 (define @t4866 () (tptp.hAPP @t4865 (tptp.hAPP @t2407 @t55))) % 3.49/3.70 (define @t4867 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 @t2309)) % 3.49/3.70 (define @t4868 () (tptp.tc_fun @t2309 @t2189)) % 3.49/3.70 (define @t4869 () (tptp.hAPP (tptp.c_COMBB @t2729 @t4868 @t2309) (tptp.hAPP @t4867 tptp.c_fconj))) % 3.49/3.70 (define @t4870 () (tptp.c_COMBS @t2309 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4871 () (tptp.hAPP (tptp.c_COMBB @t4868 @t4286 @t2309) @t4870)) % 3.49/3.70 (define @t4872 () (tptp.c_COMBC @t2309 @t2729 @t2729)) % 3.49/3.70 (define @t4873 () (tptp.tc_fun @t92 @t3899)) % 3.49/3.70 (define @t4874 () (tptp.tc_fun @t10 @t3899)) % 3.49/3.70 (define @t4875 () (tptp.tc_fun @t4119 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4876 () (tptp.tc_fun @t10 @t4875)) % 3.49/3.70 (define @t4877 () (tptp.c_Set_OCollect @t3759)) % 3.49/3.70 (define @t4878 () (tptp.hAPP (tptp.hAPP @t2718 (tptp.hAPP @t2717 @t4489)) @t4624)) % 3.49/3.70 (define @t4879 () (tptp.hAPP @t2193 (tptp.hAPP @t900 @t809))) % 3.49/3.70 (define @t4880 () (tptp.c_Set_OCollect @t2176)) % 3.49/3.70 (define @t4881 () (tptp.c_Int_Oint__ge__less__than @t809)) % 3.49/3.70 (define @t4882 () (@list @t809)) % 3.49/3.70 (define @t4883 () (tptp.c_Int_Oint__ge__less__than2 @t809)) % 3.49/3.70 (define @t4884 () (tptp.hAPP @t4877 (tptp.hAPP @t4141 @t1972))) % 3.49/3.70 (define @t4885 () (tptp.c_Predicate_Oreflp @t10 @t1972)) % 3.49/3.70 (define @t4886 () (tptp.hAPP @t1972 @t349)) % 3.49/3.70 (define @t4887 () (tptp.hAPP @t4492 @t4444)) % 3.49/3.70 (define @t4888 () (tptp.tc_fun @t2203 @t2309)) % 3.49/3.70 (define @t4889 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t4888 @t10) (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) % 3.49/3.70 (define @t4890 () (tptp.hAPP (tptp.c_COMBC @t10 @t2204 @t2311) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4888 (tptp.tc_fun @t2204 @t2311) @t10) (tptp.c_COMBB @t2203 @t2309 @t10)) @t4889))) % 3.49/3.70 (define @t4891 () (tptp.tc_fun @t10 @t4139)) % 3.49/3.70 (define @t4892 () (tptp.hAPP (tptp.c_COMBB @t2311 @t4891 @t10) @t4140)) % 3.49/3.70 (define @t4893 () (tptp.hAPP (tptp.c_COMBB @t4139 @t3246 @t10) @t4622)) % 3.49/3.70 (define @t4894 () (tptp.tc_fun @t10 @t3246)) % 3.49/3.70 (define @t4895 () (tptp.hAPP (tptp.c_COMBB @t4891 @t4894 @t10) @t4893)) % 3.49/3.70 (define @t4896 () (tptp.hAPP (tptp.c_COMBB @t4894 (tptp.tc_fun @t2311 @t2311) @t10) (tptp.c_COMBS @t10 @t2309 @t2309))) % 3.49/3.70 (define @t4897 () (tptp.c_COMBC @t10 @t2311 @t2311)) % 3.49/3.70 (define @t4898 () (tptp.c_HOL_OEx @t10)) % 3.49/3.70 (define @t4899 () (tptp.hAPP @t3545 @t4898)) % 3.49/3.70 (define @t4900 () (tptp.hAPP (tptp.c_COMBB @t2311 @t2309 @t10) @t4899)) % 3.49/3.70 (define @t4901 () (tptp.hAPP (tptp.c_COMBC @t10 @t2203 @t2309) @t4889)) % 3.49/3.70 (define @t4902 () (tptp.c_COMBC @t92 @t10 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4903 () (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t92)) % 3.49/3.70 (define @t4904 () (tptp.hAPP @t4903 @t4898)) % 3.49/3.70 (define @t4905 () (tptp.hAPP (tptp.c_COMBB @t2655 @t3420 @t92) tptp.c_fequal)) % 3.49/3.70 (define @t4906 () (tptp.c_COMBC @t92 @t2655 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4907 () (tptp.c_COMBB @t2682 tptp.tc_HOL_Obool @t10)) % 3.49/3.70 (define @t4908 () (tptp.hAPP @t4907 (tptp.c_HOL_OEx @t92))) % 3.49/3.70 (define @t4909 () (tptp.c_COMBB @t2729 tptp.tc_HOL_Obool @t2309)) % 3.49/3.70 (define @t4910 () (tptp.hAPP @t287 @t316)) % 3.49/3.70 (define @t4911 () (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4893 (tptp.hAPP @t4140 (tptp.hAPP @t4901 @t4910)))) (tptp.hAPP @t3646 @t3367))))) % 3.49/3.70 (define @t4912 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t10)) % 3.49/3.70 (define @t4913 () (@list @t316 @t3367 @t10)) % 3.49/3.70 (define @t4914 () (tptp.class_Lattices_Odistrib__lattice @t10)) % 3.49/3.70 (define @t4915 () (tptp.tc_fun @t530 @t530)) % 3.49/3.70 (define @t4916 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2389 @t2389) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4915 (tptp.tc_fun @t2389 @t2389) @t10) (tptp.c_COMBB @t530 @t530 @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t530 @t4915 @t10) @t4538) @t2))) @t1)) % 3.49/3.70 (define @t4917 () (tptp.tc_fun @t2389 @t2682)) % 3.49/3.70 (define @t4918 () (tptp.tc_fun @t10 @t2389)) % 3.49/3.70 (define @t4919 () (tptp.tc_fun @t92 @t2189)) % 3.49/3.70 (define @t4920 () (tptp.tc_fun @t10 @t4919)) % 3.49/3.70 (define @t4921 () (tptp.tc_fun @t10 @t2716)) % 3.49/3.70 (define @t4922 () (tptp.c_Fun_Oid @t10)) % 3.49/3.70 (define @t4923 () (tptp.c_Fun_Oid @t2388)) % 3.49/3.70 (define @t4924 () (tptp.c_Fun_Oid @t92)) % 3.49/3.70 (define @t4925 () (tptp.c_Fun_Oid @t66)) % 3.49/3.70 (define @t4926 () (@var "V_x_1" $$unsorted)) % 3.49/3.70 (define @t4927 () (tptp.c_Fun_Ocomp @t92 @t92 @t10 @t4924)) % 3.49/3.70 (define @t4928 () (tptp.c_Set_Oimage @t10 @t10 @t4922)) % 3.49/3.70 (define @t4929 () (@list @t1419 @t2 @t10 @t92)) % 3.49/3.70 (define @t4930 () (tptp.tc_prod @t530 @t92)) % 3.49/3.70 (define @t4931 () (tptp.c_member @t4930)) % 3.49/3.70 (define @t4932 () (tptp.tc_fun @t4930 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4933 () (tptp.tc_fun @t4932 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4934 () (tptp.tc_fun @t530 @t4933)) % 3.49/3.70 (define @t4935 () (tptp.c_member @t4762)) % 3.49/3.70 (define @t4936 () (tptp.tc_fun @t4763 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4937 () (tptp.tc_fun @t530 @t4936)) % 3.49/3.70 (define @t4938 () (tptp.tc_fun @t530 @t2189)) % 3.49/3.70 (define @t4939 () (tptp.c_Relation_Orel__comp @t10 @t530 @t92)) % 3.49/3.70 (define @t4940 () (tptp.hAPP (tptp.hAPP @t4939 @t1972) @t18)) % 3.49/3.70 (define @t4941 () (tptp.c_Relation_Orel__comp @t10 @t92 @t530)) % 3.49/3.70 (define @t4942 () (tptp.hAPP (tptp.hAPP @t4941 @t1972) @t18)) % 3.49/3.70 (define @t4943 () (tptp.hAPP @t4939 @t18)) % 3.49/3.70 (define @t4944 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2394 @t3424) @t3286)) % 3.49/3.70 (define @t4945 () (@list @t2412 @t92 @t530 @t10)) % 3.49/3.70 (define @t4946 () (tptp.hAPP @t4939 @t2412)) % 3.49/3.70 (define @t4947 () (@var "V_s_H_2" $$unsorted)) % 3.49/3.70 (define @t4948 () (tptp.c_Orderings_Oord__class_Oless__eq @t4763)) % 3.49/3.70 (define @t4949 () (tptp.c_Orderings_Oord__class_Oless__eq @t3691)) % 3.49/3.70 (define @t4950 () (tptp.c_Relation_Orel__comp @t10 @t10 @t10)) % 3.49/3.70 (define @t4951 () (tptp.hAPP @t4950 @t1261)) % 3.49/3.70 (define @t4952 () (= (tptp.hAPP @t4951 @t2521) @t3762)) % 3.49/3.70 (define @t4953 () (tptp.tc_fun @t3920 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4954 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3920) (tptp.hAPP (tptp.hAPP @t3919 @t3465) @t3465)) (tptp.c_Orderings_Obot__class_Obot @t4953))) % 3.49/3.70 (define @t4955 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4953)) % 3.49/3.70 (define @t4956 () (tptp.c_Relation_Orel__comp @t2309 @t2309 @t2309)) % 3.49/3.70 (define @t4957 () (tptp.c_Orderings_Oord__class_Oless__eq @t4953)) % 3.49/3.70 (define @t4958 () (tptp.hAPP @t4950 @t2412)) % 3.49/3.70 (define @t4959 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP @t4958 @t3085)) @t2412))) % 3.49/3.70 (define @t4960 () (tptp.c_Wellfounded_Omin__ext @t10 @t2412)) % 3.49/3.70 (define @t4961 () (tptp.hAPP @t3639 @t1972)) % 3.49/3.70 (define @t4962 () (tptp.c_Wellfounded_Owf @t10 @t2412)) % 3.49/3.70 (define @t4963 () (tptp.c_Wellfounded_Owf @t10 @t1972)) % 3.49/3.70 (define @t4964 () (@list @t2 @t92 @t1972 @t10)) % 3.49/3.70 (define @t4965 () (@var "V_rb_2" $$unsorted)) % 3.49/3.70 (define @t4966 () (@var "V_ra_2" $$unsorted)) % 3.49/3.70 (define @t4967 () (tptp.hAPP @t4958 @t2412)) % 3.49/3.70 (define @t4968 () (tptp.hAPP @t4146 @t2412)) % 3.49/3.70 (define @t4969 () (tptp.hAPP @t4968 @t3085)) % 3.49/3.70 (define @t4970 () (tptp.c_Wellfounded_Owf @t10 @t4969)) % 3.49/3.70 (define @t4971 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4972 () (tptp.c_Set_OCollect @t2360)) % 3.49/3.70 (define @t4973 () (@list @t4233 @t1972 @t10)) % 3.49/3.70 (define @t4974 () (@list @t1553 @t1972 @t10)) % 3.49/3.70 (define @t4975 () (tptp.hAPP @t1972 @t33)) % 3.49/3.70 (define @t4976 () (tptp.hAPP @t4176 @t1183)) % 3.49/3.70 (define @t4977 () (tptp.c_Relation_OImage @t10 @t10 @t2412)) % 3.49/3.70 (define @t4978 () (tptp.c_Wellfounded_Owf @t10 @t3085)) % 3.49/3.70 (define @t4979 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3760 @t3760) @t55)) % 3.49/3.70 (define @t4980 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3760 @t3760) @t55)) % 3.49/3.70 (define @t4981 () (tptp.hAPP @t3761 @t3085)) % 3.49/3.70 (define @t4982 () (tptp.hAPP @t3761 @t2412)) % 3.49/3.70 (define @t4983 () (tptp.c_List_Olenlex @t10 @t1972)) % 3.49/3.70 (define @t4984 () (tptp.tc_List_Olist @t10)) % 3.49/3.70 (define @t4985 () (tptp.c_List_Olex @t10 @t1972)) % 3.49/3.70 (define @t4986 () (tptp.c_List_Olexn @t10 @t1972)) % 3.49/3.70 (define @t4987 () (tptp.tc_prod @t4984 @t4984)) % 3.49/3.70 (define @t4988 () (tptp.tc_fun @t4987 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t4989 () (tptp.hAPP @t4986 @t19)) % 3.49/3.70 (define @t4990 () (@list @t19 @t1972 @t10)) % 3.49/3.70 (define @t4991 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t10 tptp.tc_HOL_Obool) @t55)) % 3.49/3.70 (define @t4992 () (tptp.c_Relation_ORange @t92 @t10)) % 3.49/3.70 (define @t4993 () (tptp.hAPP (tptp.c_Relation_ORange @t10 @t92) @t1972)) % 3.49/3.70 (define @t4994 () (@list @t1972 @t21 @t168 @t92 @t10)) % 3.49/3.70 (define @t4995 () (tptp.c_Relation_ORange @t10 @t10)) % 3.49/3.70 (define @t4996 () (tptp.c_Orderings_Obot__class_Obot @t4235)) % 3.49/3.70 (define @t4997 () (tptp.hAPP @t4992 @t1972)) % 3.49/3.70 (define @t4998 () (@list @t1972 @t10 @t92)) % 3.49/3.70 (define @t4999 () (tptp.hAPP @t4992 @t1419)) % 3.49/3.70 (define @t5000 () (tptp.hAPP @t4992 @t1261)) % 3.49/3.70 (define @t5001 () (tptp.hBOOL (tptp.hAPP @t3426 @t1972))) % 3.49/3.70 (define @t5002 () (@list @t1972 @t92 @t10)) % 3.49/3.70 (define @t5003 () (@list @t1972 @t92 @t168 @t10)) % 3.49/3.70 (define @t5004 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4235)) % 3.49/3.70 (define @t5005 () (tptp.c_Predicate_ORangeP @t10 @t92 @t1972)) % 3.49/3.70 (define @t5006 () (@list @t92 @t10 @t21 @t168 @t1972)) % 3.49/3.70 (define @t5007 () (tptp.c_Relation_ODomain @t10 @t10)) % 3.49/3.70 (define @t5008 () (tptp.hAPP @t5007 @t1972)) % 3.49/3.70 (define @t5009 () (tptp.c_Wellfounded_OwfP @t10 @t1972)) % 3.49/3.70 (define @t5010 () (tptp.c_Relation_ODomain @t10 @t92)) % 3.49/3.70 (define @t5011 () (tptp.hAPP @t5010 @t1972)) % 3.49/3.70 (define @t5012 () (tptp.hBOOL (tptp.hAPP @t3595 @t5011))) % 3.49/3.70 (define @t5013 () (tptp.hBOOL (tptp.hAPP @t4724 @t18))) % 3.49/3.70 (define @t5014 () (@list @t18 @t1972 @t92 @t10)) % 3.49/3.70 (define @t5015 () (tptp.hAPP @t5010 @t1419)) % 3.49/3.70 (define @t5016 () (tptp.hAPP @t5010 @t1261)) % 3.49/3.70 (define @t5017 () (tptp.c_Set_Oimage @t2388 @t10 @t2505)) % 3.49/3.70 (define @t5018 () (@list @t2412 @t92 @t10)) % 3.49/3.70 (define @t5019 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 (tptp.hAPP @t2350 @t267)) @t1972))) % 3.49/3.70 (define @t5020 () (tptp.hAPP @t4995 @t1972)) % 3.49/3.70 (define @t5021 () (tptp.c_Predicate_ODomainP @t10 @t92 @t1972)) % 3.49/3.70 (define @t5022 () (tptp.c_New__Random__Sequence_Oneg__single @t10)) % 3.49/3.70 (define @t5023 () (tptp.c_Wellfounded_Oacyclic @t10 @t1972)) % 3.49/3.70 (define @t5024 () (@list @t1972 @t18 @t10)) % 3.49/3.70 (define @t5025 () (@list @t2611 @t2612 @t2613 @t349 @t10)) % 3.49/3.70 (define @t5026 () (tptp.c_New__Random__Sequence_Opos__single @t10)) % 3.49/3.70 (define @t5027 () (@list @t2677 @t101 @t66)) % 3.49/3.70 (define @t5028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4483 @t267) tptp.c_Int_OInteg))) % 3.49/3.70 (define @t5029 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t267)) % 3.49/3.70 (define @t5030 () (tptp.hAPP @t1972 @t517)) % 3.49/3.70 (define @t5031 () (tptp.hAPP @t1972 @t1183)) % 3.49/3.70 (define @t5032 () (tptp.hAPP @t3622 @t583)) % 3.49/3.70 (define @t5033 () (tptp.c_Hilbert__Choice_OEps @t10 @t55)) % 3.49/3.70 (define @t5034 () (tptp.hBOOL (tptp.hAPP @t55 @t5033))) % 3.49/3.70 (define @t5035 () (@var "B_P" $$unsorted)) % 3.49/3.70 (define @t5036 () (@list @t10 @t55)) % 3.49/3.70 (define @t5037 () (@list @t4186)) % 3.49/3.70 (define @t5038 () (tptp.hAPP @t3765 @t267)) % 3.49/3.70 (define @t5039 () (tptp.c_Wellfounded_Oacc @t10 @t2412)) % 3.49/3.70 (define @t5040 () (tptp.hAPP @t3765 @t1408)) % 3.49/3.70 (define @t5041 () (@list @t2412 @t349 @t10)) % 3.49/3.70 (define @t5042 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 3.49/3.70 (define @t5043 () (tptp.hAPP @t4075 (tptp.hAPP @t4253 @t19))) % 3.49/3.70 (define @t5044 () (tptp.c_Transitive__Closure_Otrancl @t10 @t1972)) % 3.49/3.70 (define @t5045 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t3769 @t5044))))) % 3.49/3.70 (define @t5046 () (tptp.hBOOL (tptp.hAPP @t4151 @t5044))) % 3.49/3.70 (define @t5047 () (tptp.hAPP @t3761 @t5044)) % 3.49/3.70 (define @t5048 () (tptp.hAPP @t3768 @t1553)) % 3.49/3.70 (define @t5049 () (tptp.hBOOL (tptp.hAPP @t5048 @t5044))) % 3.49/3.70 (define @t5050 () (tptp.hBOOL (tptp.hAPP @t5048 @t1972))) % 3.49/3.70 (define @t5051 () (@list @t1972 @t1553 @t10)) % 3.49/3.70 (define @t5052 () (tptp.hAPP @t3768 (tptp.hAPP @t3901 @t20))) % 3.49/3.70 (define @t5053 () (tptp.hBOOL (tptp.hAPP @t5052 @t5044))) % 3.49/3.70 (define @t5054 () (tptp.hAPP @t3765 @t21)) % 3.49/3.70 (define @t5055 () (tptp.hAPP @t3768 (tptp.hAPP @t5054 @t20))) % 3.49/3.70 (define @t5056 () (=> (tptp.hBOOL (tptp.hAPP @t5055 @t5044)) @t5053)) % 3.49/3.70 (define @t5057 () (@list @t20 @t1972 @t21 @t168 @t10)) % 3.49/3.70 (define @t5058 () (tptp.hBOOL (tptp.hAPP @t5055 @t1972))) % 3.49/3.70 (define @t5059 () (=> @t5058 @t5053)) % 3.49/3.70 (define @t5060 () (tptp.c_Transitive__Closure_Otrancl @t10 @t2412)) % 3.49/3.70 (define @t5061 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t1972)) % 3.49/3.70 (define @t5062 () (tptp.hAPP @t4146 @t5044)) % 3.49/3.70 (define @t5063 () (tptp.hAPP @t4466 @t349)) % 3.49/3.70 (define @t5064 () (tptp.hAPP (tptp.hAPP @t4135 @t5063) @t1972)) % 3.49/3.70 (define @t5065 () (@list @t1972 @t349 @t610 @t10)) % 3.49/3.70 (define @t5066 () (tptp.c_Relation_OId @t10)) % 3.49/3.70 (define @t5067 () (tptp.hAPP @t4147 @t5066)) % 3.49/3.70 (define @t5068 () (@list @t610 @t349 @t1972 @t10)) % 3.49/3.70 (define @t5069 () (tptp.hBOOL (tptp.hAPP @t4151 @t5061))) % 3.49/3.70 (define @t5070 () (tptp.hAPP (tptp.hAPP @t4950 @t5061) @t1972)) % 3.49/3.70 (define @t5071 () (tptp.hAPP (tptp.hAPP @t4950 @t1972) @t5061)) % 3.49/3.70 (define @t5072 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t2412)) % 3.49/3.70 (define @t5073 () (tptp.hBOOL (tptp.hAPP @t5052 @t5061))) % 3.49/3.70 (define @t5074 () (tptp.hBOOL (tptp.hAPP @t5055 @t5061))) % 3.49/3.70 (define @t5075 () (=> @t5074 @t5073)) % 3.49/3.70 (define @t5076 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3760) @t1972) @t5066)) % 3.49/3.70 (define @t5077 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t4969)) % 3.49/3.70 (define @t5078 () (tptp.hAPP @t3768 @t349)) % 3.49/3.70 (define @t5079 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t3085)) % 3.49/3.70 (define @t5080 () (tptp.hAPP @t4146 @t5072)) % 3.49/3.70 (define @t5081 () (tptp.hAPP @t5080 @t5079)) % 3.49/3.70 (define @t5082 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t18)) % 3.49/3.70 (define @t5083 () (tptp.hAPP @t3761 @t5061)) % 3.49/3.70 (define @t5084 () (tptp.hBOOL (tptp.hAPP @t5083 @t5082))) % 3.49/3.70 (define @t5085 () (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t583))) % 3.49/3.70 (define @t5086 () (tptp.hBOOL (tptp.hAPP @t3787 @t5061))) % 3.49/3.70 (define @t5087 () (=> @t5074 @t5053)) % 3.49/3.70 (define @t5088 () (tptp.hBOOL (tptp.hAPP @t3787 @t5060))) % 3.49/3.70 (define @t5089 () (tptp.hBOOL (tptp.hAPP @t3787 @t5072))) % 3.49/3.70 (define @t5090 () (@list @t2412 @t610 @t349 @t10)) % 3.49/3.70 (define @t5091 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5054 @t168)) @t5061))) % 3.49/3.70 (define @t5092 () (not @t5086)) % 3.49/3.70 (define @t5093 () (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t349))) % 3.49/3.70 (define @t5094 () (tptp.c_Relation_Oconverse @t10 @t10)) % 3.49/3.70 (define @t5095 () (tptp.hAPP @t5094 @t1972)) % 3.49/3.70 (define @t5096 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t5095)) % 3.49/3.70 (define @t5097 () (tptp.c_Relation_Oconverse @t92 @t10)) % 3.49/3.70 (define @t5098 () (tptp.hAPP @t5097 @t1972)) % 3.49/3.70 (define @t5099 () (tptp.hAPP @t5010 @t5098)) % 3.49/3.70 (define @t5100 () (tptp.hAPP (tptp.c_Relation_Oconverse @t10 @t92) @t1972)) % 3.49/3.70 (define @t5101 () (tptp.hAPP (tptp.hAPP @t4950 @t5095) @t1972)) % 3.49/3.70 (define @t5102 () (= @t5101 @t1972)) % 3.49/3.70 (define @t5103 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4235 @t3424 @t530) @t5097) @t1972)) % 3.49/3.70 (define @t5104 () (@list @t1972 @t3085 @t530 @t10 @t92)) % 3.49/3.70 (define @t5105 () (tptp.hAPP @t4238 (tptp.hAPP (tptp.hAPP @t2545 @t21) @t168))) % 3.49/3.70 (define @t5106 () (tptp.hBOOL (tptp.hAPP @t5105 @t1972))) % 3.49/3.70 (define @t5107 () (tptp.hBOOL (tptp.hAPP @t3624 @t5098))) % 3.49/3.70 (define @t5108 () (tptp.hAPP @t5097 @t18)) % 3.49/3.70 (define @t5109 () (@list @t18 @t1972 @t10 @t92)) % 3.49/3.70 (define @t5110 () (tptp.hAPP @t5094 @t5044)) % 3.49/3.70 (define @t5111 () (tptp.c_Wellfounded_Owf @t10 @t5095)) % 3.49/3.70 (define @t5112 () (tptp.c_Transitive__Closure_Otrancl @t10 @t5095)) % 3.49/3.70 (define @t5113 () (tptp.hBOOL (tptp.hAPP @t3787 @t5096))) % 3.49/3.70 (define @t5114 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 @t5063) @t5061))) % 3.49/3.70 (define @t5115 () (@list @t1972 @t610 @t349 @t10)) % 3.49/3.70 (define @t5116 () (tptp.hBOOL (tptp.hAPP @t3787 @t5112))) % 3.49/3.70 (define @t5117 () (tptp.hBOOL (tptp.hAPP @t3787 @t5110))) % 3.49/3.70 (define @t5118 () (tptp.tc_fun @t92 @t4856)) % 3.49/3.70 (define @t5119 () (tptp.c_Relation_Ototal__on @t10 @t1261 @t1972)) % 3.49/3.70 (define @t5120 () (tptp.c_Nat_Ocompow @t3759 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5121 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3760) @t3305) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3760 @t3760) @t5120) @t2412))) % 3.49/3.70 (define @t5122 () (tptp.hBOOL (tptp.hAPP @t5048 @t5072))) % 3.49/3.70 (define @t5123 () (@list @t2412 @t1553 @t10)) % 3.49/3.70 (define @t5124 () (tptp.hAPP (tptp.hAPP @t5120 @t199) @t2412)) % 3.49/3.70 (define @t5125 () (tptp.hBOOL (tptp.hAPP @t5048 (tptp.hAPP (tptp.hAPP @t5120 @t9) @t2412)))) % 3.49/3.70 (define @t5126 () (tptp.hAPP (tptp.hAPP @t5120 @t19) @t2412)) % 3.49/3.70 (define @t5127 () (tptp.hAPP (tptp.hAPP @t4950 @t5126) @t2412)) % 3.49/3.70 (define @t5128 () (@list @t19 @t2412 @t10)) % 3.49/3.70 (define @t5129 () (tptp.hAPP (tptp.hAPP @t5120 @t48) @t2412)) % 3.49/3.70 (define @t5130 () (@list @t2412 @t19 @t10)) % 3.49/3.70 (define @t5131 () (tptp.c_Nat_Ocompow @t10 @t10)) % 3.49/3.70 (define @t5132 () (tptp.hAPP (tptp.hAPP @t5131 @t314) @t2)) % 3.49/3.70 (define @t5133 () (tptp.hAPP @t5131 @t19)) % 3.49/3.70 (define @t5134 () (tptp.hAPP @t5133 @t2)) % 3.49/3.70 (define @t5135 () (tptp.hBOOL (tptp.hAPP @t5085 @t5129))) % 3.49/3.70 (define @t5136 () (tptp.hAPP (tptp.hAPP @t5120 @t406) @t2412)) % 3.49/3.70 (define @t5137 () (tptp.hAPP @t3768 (tptp.hAPP @t5038 @t583))) % 3.49/3.70 (define @t5138 () (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t267))) % 3.49/3.70 (define @t5139 () (tptp.hBOOL (tptp.hAPP @t5138 @t2412))) % 3.49/3.70 (define @t5140 () (@list @t267 @t406)) % 3.49/3.70 (define @t5141 () (=> @t338 (not @t4636))) % 3.49/3.70 (define @t5142 () (tptp.hBOOL (tptp.hAPP @t5085 @t5126))) % 3.49/3.70 (define @t5143 () (@list @t2412 @t19 @t583 @t349 @t10)) % 3.49/3.70 (define @t5144 () (not (tptp.hBOOL (tptp.hAPP @t5137 @t2412)))) % 3.49/3.70 (define @t5145 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t55)) % 3.49/3.70 (define @t5146 () (tptp.hBOOL (tptp.hAPP @t4151 @t5145))) % 3.49/3.70 (define @t5147 () (tptp.hAPP @t3768 (tptp.hAPP @t5038 @t4))) % 3.49/3.70 (define @t5148 () (tptp.hBOOL (tptp.hAPP @t4151 (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP (tptp.hAPP @t4146 @t55) @t51))))) % 3.49/3.70 (define @t5149 () (@list @t51 @t55 @t21 @t168 @t10)) % 3.49/3.70 (define @t5150 () (tptp.c_Relation_Osingle__valued @t10 @t92 @t1972)) % 3.49/3.70 (define @t5151 () (tptp.hAPP @t4759 @t1408)) % 3.49/3.70 (define @t5152 () (tptp.hBOOL (tptp.hAPP @t5137 @t5126))) % 3.49/3.70 (define @t5153 () (tptp.hAPP @t3768 (tptp.hAPP @t5040 @t610))) % 3.49/3.70 (define @t5154 () (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t1408))) % 3.49/3.70 (define @t5155 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2569)) % 3.49/3.70 (define @t5156 () (tptp.hAPP (tptp.hAPP @t5155 @t349) @t1261)) % 3.49/3.70 (define @t5157 () (tptp.c_Finite__Set_Ofold @t10 @t92 @t2)) % 3.49/3.70 (define @t5158 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t92 @t10 @t2) @t583)) % 3.49/3.70 (define @t5159 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t3155)) % 3.49/3.70 (define @t5160 () (tptp.hAPP @t5159 @t21)) % 3.49/3.70 (define @t5161 () (tptp.hAPP @t5160 @t1261)) % 3.49/3.70 (define @t5162 () (@list @t168 @t21 @t1261 @t10)) % 3.49/3.70 (define @t5163 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t4329)) % 3.49/3.70 (define @t5164 () (tptp.hAPP @t5163 @t21)) % 3.49/3.70 (define @t5165 () (tptp.hAPP @t5164 @t1261)) % 3.49/3.70 (define @t5166 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2458)) % 3.49/3.70 (define @t5167 () (tptp.hAPP @t5166 @t21)) % 3.49/3.70 (define @t5168 () (tptp.hAPP @t5167 @t1261)) % 3.49/3.70 (define @t5169 () (tptp.hAPP @t5155 @t21)) % 3.49/3.70 (define @t5170 () (tptp.hAPP @t5169 @t1261)) % 3.49/3.70 (define @t5171 () (tptp.hAPP @t5157 @t583)) % 3.49/3.70 (define @t5172 () (tptp.hAPP @t5171 @t1261)) % 3.49/3.70 (define @t5173 () (tptp.hAPP @t566 @t5172)) % 3.49/3.70 (define @t5174 () (tptp.hAPP @t5171 @t3375)) % 3.49/3.70 (define @t5175 () (= @t5174 @t5173)) % 3.49/3.70 (define @t5176 () (@list @t349 @t583 @t1261 @t2 @t92 @t10)) % 3.49/3.70 (define @t5177 () (tptp.hAPP (tptp.hAPP @t5157 @t4834) @t1261)) % 3.49/3.70 (define @t5178 () (= @t5174 @t5177)) % 3.49/3.70 (define @t5179 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t92)) % 3.49/3.70 (define @t5180 () (tptp.c_Finite__Set_Ofold @t10 @t92 (tptp.hAPP (tptp.hAPP @t3399 @t5179) @t2))) % 3.49/3.70 (define @t5181 () (tptp.c_Finite__Set_Ofold @t10 @t10 @t2)) % 3.49/3.70 (define @t5182 () (tptp.hAPP @t4500 @t21)) % 3.49/3.70 (define @t5183 () (@list @t21 @t168 @t1261 @t10)) % 3.49/3.70 (define @t5184 () (tptp.hAPP @t4423 @t21)) % 3.49/3.70 (define @t5185 () (= (tptp.hAPP @t4671 @t3414) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t10 @t704) @t168) @t1261))) % 3.49/3.70 (define @t5186 () (tptp.hAPP (tptp.hAPP @t5166 @t168) @t1261)) % 3.49/3.70 (define @t5187 () (tptp.hAPP (tptp.hAPP @t5155 @t168) @t1261)) % 3.49/3.70 (define @t5188 () (tptp.hAPP (tptp.hAPP @t5166 @t349) @t1261)) % 3.49/3.70 (define @t5189 () (tptp.hAPP @t566 (tptp.hAPP @t5171 @t3537))) % 3.49/3.70 (define @t5190 () (tptp.c_Finite__Set_Ofun__left__comm @t10 @t92 @t2)) % 3.49/3.70 (define @t5191 () (@list @t583 @t349 @t1261 @t2 @t92 @t10)) % 3.49/3.70 (define @t5192 () (@var "B_y_H" $$unsorted)) % 3.49/3.70 (define @t5193 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t92)) % 3.49/3.70 (define @t5194 () (tptp.c_Finite__Set_Ofold @t10 @t92 (tptp.hAPP (tptp.hAPP @t3399 @t5193) @t2))) % 3.49/3.70 (define @t5195 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t92)) % 3.49/3.70 (define @t5196 () (tptp.hAPP @t5195 @t1261)) % 3.49/3.70 (define @t5197 () (tptp.hAPP @t5196 @t2)) % 3.49/3.70 (define @t5198 () (tptp.hBOOL (tptp.hAPP @t4468 @t1261))) % 3.49/3.70 (define @t5199 () (tptp.hBOOL (tptp.hAPP @t3606 @t3393))) % 3.49/3.70 (define @t5200 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t92 @t2309)) % 3.49/3.70 (define @t5201 () (tptp.hAPP @t5200 @t1261)) % 3.49/3.70 (define @t5202 () (tptp.hAPP @t5201 @t1419)) % 3.49/3.70 (define @t5203 () (tptp.hBOOL (tptp.hAPP @t3606 @t5202))) % 3.49/3.70 (define @t5204 () (@list @t168 @t1419 @t1261 @t92 @t21 @t10)) % 3.49/3.70 (define @t5205 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t2682)) % 3.49/3.70 (define @t5206 () (tptp.hAPP @t5205 @t1261)) % 3.49/3.70 (define @t5207 () (tptp.hAPP @t5206 @t1419)) % 3.49/3.70 (define @t5208 () (tptp.hBOOL (tptp.hAPP @t5207 @t21))) % 3.49/3.70 (define @t5209 () (@list @t168 @t21 @t1419 @t1261 @t92 @t10)) % 3.49/3.70 (define @t5210 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3590)) % 3.49/3.70 (define @t5211 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5210 @t1261) @t1419) @t21) @t20))) % 3.49/3.70 (define @t5212 () (@list @t168 @t20 @t21 @t1419 @t1261 @t530 @t92 @t10)) % 3.49/3.70 (define @t5213 () (tptp.hAPP (tptp.hAPP @t5205 @t3286) @t1261)) % 3.49/3.70 (define @t5214 () (tptp.hAPP @t5200 @t2521)) % 3.49/3.70 (define @t5215 () (tptp.hAPP @t5214 @t1419)) % 3.49/3.70 (define @t5216 () (tptp.hAPP @t2528 @t5215)) % 3.49/3.70 (define @t5217 () (tptp.hAPP @t3250 (tptp.hAPP (tptp.hAPP @t4397 @t2528) @t1419))) % 3.49/3.70 (define @t5218 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t530 @t2309)) % 3.49/3.70 (define @t5219 () (tptp.hAPP @t5218 @t1261)) % 3.49/3.70 (define @t5220 () (tptp.hAPP (tptp.hAPP @t4397 @t2532) @t1419)) % 3.49/3.70 (define @t5221 () (tptp.hAPP @t3508 (tptp.hAPP @t4849 (tptp.hAPP (tptp.hAPP @t4847 tptp.c_fimplies) (tptp.hAPP @t3704 @t1261))))) % 3.49/3.70 (define @t5222 () (tptp.hAPP @t4907 (tptp.c_HOL_OAll @t92))) % 3.49/3.70 (define @t5223 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t92 @t10)) % 3.49/3.70 (define @t5224 () (tptp.hAPP @t5223 @t1261)) % 3.49/3.70 (define @t5225 () (tptp.hAPP @t5200 @t3286)) % 3.49/3.70 (define @t5226 () (tptp.hAPP @t5225 @t1261)) % 3.49/3.70 (define @t5227 () (tptp.hAPP (tptp.hAPP @t3300 @t4387) @t1419)) % 3.49/3.70 (define @t5228 () (forall @t8 (=> @t3264 (= @t3226 @t3318)))) % 3.49/3.70 (define @t5229 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t530 @t10) @t1419)) % 3.49/3.70 (define @t5230 () (tptp.hAPP @t5205 @t3318)) % 3.49/3.70 (define @t5231 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t530 @t2682) @t1261)) % 3.49/3.70 (define @t5232 () (tptp.hAPP @t5231 @t1419)) % 3.49/3.70 (define @t5233 () (tptp.hAPP @t5219 @t4212)) % 3.49/3.70 (define @t5234 () (tptp.hAPP @t4211 @t5232)) % 3.49/3.70 (define @t5235 () (tptp.hAPP @t964 @t1524)) % 3.49/3.70 (define @t5236 () (tptp.hAPP @t3361 @t5215)) % 3.49/3.70 (define @t5237 () (tptp.hAPP @t5214 (tptp.hAPP (tptp.hAPP @t4397 @t3361) @t1419))) % 3.49/3.70 (define @t5238 () (tptp.hAPP @t5205 @t2521)) % 3.49/3.70 (define @t5239 () (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t3508 @t4412) @t1419))) % 3.49/3.70 (define @t5240 () (tptp.hAPP @t4412 (tptp.hAPP @t5238 @t1419))) % 3.49/3.70 (define @t5241 () (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t2718 @t4718) @t1419))) % 3.49/3.70 (define @t5242 () (tptp.hAPP @t5238 @t1261)) % 3.49/3.70 (define @t5243 () (tptp.hAPP (tptp.hAPP @t4411 @t5242) @t1419)) % 3.49/3.70 (define @t5244 () (tptp.hAPP @t5206 @t3484)) % 3.49/3.70 (define @t5245 () (tptp.hAPP @t5218 @t4391)) % 3.49/3.70 (define @t5246 () (tptp.hAPP @t5214 (tptp.hAPP (tptp.hAPP @t3248 @t3299) @t1419))) % 3.49/3.70 (define @t5247 () (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP @t5214 @t1261)) @t1419)) % 3.49/3.70 (define @t5248 () (tptp.hAPP @t5214 (tptp.hAPP (tptp.hAPP @t4397 @t3112) @t1419))) % 3.49/3.70 (define @t5249 () (tptp.hAPP @t3112 @t5215)) % 3.49/3.70 (define @t5250 () (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t2718 @t4691) @t1419))) % 3.49/3.70 (define @t5251 () (tptp.hAPP (tptp.hAPP @t3028 @t5242) @t1419)) % 3.49/3.70 (define @t5252 () (tptp.hAPP @t5238 (tptp.hAPP (tptp.hAPP @t3508 @t3029) @t1419))) % 3.49/3.70 (define @t5253 () (tptp.hAPP @t3029 @t3512)) % 3.49/3.70 (define @t5254 () (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t1261)) % 3.49/3.70 (define @t5255 () (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t1261)) % 3.49/3.70 (define @t5256 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t2521)) % 3.49/3.70 (define @t5257 () (tptp.hAPP @t2725 @t1261)) % 3.49/3.70 (define @t5258 () (tptp.hBOOL (tptp.hAPP @t5257 @t5256))) % 3.49/3.70 (define @t5259 () (tptp.hBOOL (tptp.hAPP @t5257 @t171))) % 3.49/3.70 (define @t5260 () (tptp.hBOOL (tptp.hAPP @t4298 @t2521))) % 3.49/3.70 (define @t5261 () (tptp.hBOOL (tptp.hAPP @t5257 (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t2521)))) % 3.49/3.70 (define @t5262 () (tptp.c_COMBC @t2682 @t3271 @t2309)) % 3.49/3.70 (define @t5263 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2682 @t2309) @t1261) (tptp.hAPP (tptp.hAPP @t5262 @t5200) @t1419))) % 3.49/3.70 (define @t5264 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2682 @t1261)) % 3.49/3.70 (define @t5265 () (tptp.hAPP (tptp.hAPP @t5200 @t5264) @t1419)) % 3.49/3.70 (define @t5266 () (tptp.c_Set_Oimage @t92 @t2309 @t1419)) % 3.49/3.70 (define @t5267 () (tptp.hAPP @t5266 @t1261)) % 3.49/3.70 (define @t5268 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5267)) % 3.49/3.70 (define @t5269 () (@list @t1261 @t1419 @t92 @t10)) % 3.49/3.70 (define @t5270 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2309 @t2309)) % 3.49/3.70 (define @t5271 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t1419)) % 3.49/3.70 (define @t5272 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t1261)) % 3.49/3.70 (define @t5273 () (tptp.hAPP @t2310 @t5272)) % 3.49/3.70 (define @t5274 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t1419)) % 3.49/3.70 (define @t5275 () (tptp.hAPP (tptp.hAPP @t4175 @t168) @t1419)) % 3.49/3.70 (define @t5276 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t1261)) % 3.49/3.70 (define @t5277 () (tptp.hAPP @t2730 @t1261)) % 3.49/3.70 (define @t5278 () (tptp.hAPP @t4324 @t4)) % 3.49/3.70 (define @t5279 () (@list @t1261 @t2521 @t10)) % 3.49/3.70 (define @t5280 () (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP @t4749 @t21))))) % 3.49/3.70 (define @t5281 () (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP @t1016 @t4))))) % 3.49/3.70 (define @t5282 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t1419) @t1261))) % 3.49/3.70 (define @t5283 () (tptp.hBOOL (tptp.hAPP @t5273 @t1419))) % 3.49/3.70 (define @t5284 () (tptp.hAPP @t4285 (tptp.hAPP @t4622 (tptp.hAPP @t4832 @t4183)))) % 3.49/3.70 (define @t5285 () (tptp.hAPP @t3545 (tptp.c_HOL_OAll @t10))) % 3.49/3.70 (define @t5286 () (tptp.hBOOL (tptp.hAPP @t4180 @t1261))) % 3.49/3.70 (define @t5287 () (tptp.hBOOL (tptp.hAPP @t3349 @t5276))) % 3.49/3.70 (define @t5288 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2682 @t2309)) % 3.49/3.70 (define @t5289 () (tptp.hAPP @t5288 @t1261)) % 3.49/3.70 (define @t5290 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2309 @t2309)) % 3.49/3.70 (define @t5291 () (tptp.hAPP @t5290 @t1419)) % 3.49/3.70 (define @t5292 () (tptp.hAPP (tptp.hAPP @t3249 @t5264) @t1419)) % 3.49/3.70 (define @t5293 () (tptp.hAPP @t5289 (tptp.hAPP (tptp.hAPP @t5262 @t3249) @t1419))) % 3.49/3.70 (define @t5294 () (tptp.hAPP (tptp.hAPP @t4172 @t1261) @t1419)) % 3.49/3.70 (define @t5295 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5267)) % 3.49/3.70 (define @t5296 () (tptp.hAPP @t5266 @t2521)) % 3.49/3.70 (define @t5297 () (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2309 @t1261) @t2521)) % 3.49/3.70 (define @t5298 () (tptp.hAPP (tptp.hAPP @t4175 @t1261) (tptp.hAPP (tptp.hAPP @t4175 @t1419) @t4174))) % 3.49/3.70 (define @t5299 () (tptp.hAPP (tptp.hAPP @t4386 @t1261) @t1419)) % 3.49/3.70 (define @t5300 () (@var "B_c2" $$unsorted)) % 3.49/3.70 (define @t5301 () (@var "B_c1" $$unsorted)) % 3.49/3.70 (define @t5302 () (@var "B_c" $$unsorted)) % 3.49/3.70 (define @t5303 () (tptp.c_COMBI @t2309)) % 3.49/3.70 (define @t5304 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t3085)) % 3.49/3.70 (define @t5305 () (@var "B_M" $$unsorted)) % 3.49/3.70 (define @t5306 () (tptp.hAPP (tptp.hAPP @t4175 @t349) @t3389)) % 3.49/3.70 (define @t5307 () (@var "B_X" $$unsorted)) % 3.49/3.70 (define @t5308 () (tptp.hAPP @t4169 @t5307)) % 3.49/3.70 (define @t5309 () (@list @t5307)) % 3.49/3.70 (define @t5310 () (@list @t20 @t21 @t1261 @t10)) % 3.49/3.70 (define @t5311 () (tptp.hBOOL (tptp.hAPP @t5257 @t5307))) % 3.49/3.70 (define @t5312 () (tptp.hBOOL (tptp.hAPP @t5308 @t2521))) % 3.49/3.70 (define @t5313 () (@var "B_Q" $$unsorted)) % 3.49/3.70 (define @t5314 () (tptp.hBOOL (tptp.hAPP @t2726 @t5313))) % 3.49/3.70 (define @t5315 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t10 @t92 @t2 @t583 @t1 @t3389)) % 3.49/3.70 (define @t5316 () (@var "V_u1_2" $$unsorted)) % 3.49/3.70 (define @t5317 () (tptp.hAPP @t387 @t5316)) % 3.49/3.70 (define @t5318 () (@var "V_e2_2" $$unsorted)) % 3.49/3.70 (define @t5319 () (@var "V_e1_2" $$unsorted)) % 3.49/3.70 (define @t5320 () (tptp.hAPP @t2725 @t314)) % 3.49/3.70 (define @t5321 () (@var "V_yx_2" $$unsorted)) % 3.49/3.70 (define @t5322 () (tptp.hAPP @t314 @t316)) % 3.49/3.70 (define @t5323 () (tptp.hAPP @t19 @t316)) % 3.49/3.70 (define @t5324 () (= @t5323 @t356)) % 3.49/3.70 (define @t5325 () (tptp.hAPP (tptp.c_Map_Omap__add @t92 @t10 @t314 @t19) @t316)) % 3.49/3.70 (define @t5326 () (@var "V_xx_2" $$unsorted)) % 3.49/3.70 (define @t5327 () (tptp.hAPP @t354 @t5326)) % 3.49/3.70 (define @t5328 () (@var "V_m3_2" $$unsorted)) % 3.49/3.70 (define @t5329 () (@var "V_m2_2" $$unsorted)) % 3.49/3.70 (define @t5330 () (@var "V_m1_2" $$unsorted)) % 3.49/3.70 (define @t5331 () (tptp.c_Map_Omap__add @t10 @t92 @t5330 @t5329)) % 3.49/3.70 (define @t5332 () (@var "V_l2_2" $$unsorted)) % 3.49/3.70 (define @t5333 () (@var "V_l1_2" $$unsorted)) % 3.49/3.70 (define @t5334 () (tptp.hAPP (tptp.c_Map_Omap__add @t10 @t92 @t5333 @t5332) @t314)) % 3.49/3.70 (define @t5335 () (= @t5334 (tptp.hAPP @t5332 @t314))) % 3.49/3.70 (define @t5336 () (tptp.hBOOL (tptp.hAPP @t5320 (tptp.c_Map_Odom @t10 @t92 @t5332)))) % 3.49/3.70 (define @t5337 () (@list @t5333 @t5332 @t92 @t314 @t10)) % 3.49/3.70 (define @t5338 () (or (= @t5323 @t3548) (and @t5324 (= @t5322 @t3548)))) % 3.49/3.70 (define @t5339 () (= @t5325 @t3548)) % 3.49/3.70 (define @t5340 () (@list @t349 @t316 @t19 @t314 @t10 @t92)) % 3.49/3.70 (define @t5341 () (@var "V_m_H_2" $$unsorted)) % 3.49/3.70 (define @t5342 () (tptp.c_Map_Odom @t10 @t92 @t5341)) % 3.49/3.70 (define @t5343 () (@var "V_xz_2" $$unsorted)) % 3.49/3.70 (define @t5344 () (tptp.c_Map_Omap__of @t10 @t92 @t1477)) % 3.49/3.70 (define @t5345 () (@var "V_xys_2" $$unsorted)) % 3.49/3.70 (define @t5346 () (tptp.c_Map_Omap__of @t92 @t10 @t5345)) % 3.49/3.70 (define @t5347 () (@list @t5345 @t92 @t10)) % 3.49/3.70 (define @t5348 () (@var "V_ps_2" $$unsorted)) % 3.49/3.70 (define @t5349 () (tptp.tc_fun @t10 @t3967)) % 3.49/3.70 (define @t5350 () (tptp.tc_fun @t3967 @t5349)) % 3.49/3.70 (define @t5351 () (tptp.tc_fun @t5349 @t5349)) % 3.49/3.70 (define @t5352 () (tptp.tc_fun @t3967 @t5351)) % 3.49/3.70 (define @t5353 () (tptp.tc_fun @t92 @t5351)) % 3.49/3.70 (define @t5354 () (tptp.tc_fun @t92 @t3967)) % 3.49/3.70 (define @t5355 () (tptp.c_Map_Omap__of @t10 @t92 @t5348)) % 3.49/3.70 (define @t5356 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t809)) % 3.49/3.70 (define @t5357 () (tptp.hAPP @t677 @t5356)) % 3.49/3.70 (define @t5358 () (@list @t809 @t2)) % 3.49/3.70 (define @t5359 () (tptp.tc_List_Olist tptp.tc_Code__Evaluation_Oterm)) % 3.49/3.70 (define @t5360 () (tptp.tc_Option_Ooption @t5359)) % 3.49/3.70 (define @t5361 () (tptp.c_Smallcheck_Osmall_H @t2 @t809 @t143)) % 3.49/3.70 (define @t5362 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t809) @t143))) % 3.49/3.70 (define @t5363 () (tptp.c_Option_Ooption_ONone @t5359)) % 3.49/3.70 (define @t5364 () (and (=> @t5362 (= @t5361 @t5363)) (=> (not @t5362) (= @t5361 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5360 @t5359 (tptp.c_Smallcheck_Osmall_H @t2 @t809 @t3559) (tptp.c_Option_Ooption_OSome @t5359)) @t4028))))) % 3.49/3.70 (define @t5365 () (tptp.tc_fun tptp.tc_Int_Oint @t5360)) % 3.49/3.70 (define @t5366 () (tptp.c_Product__Type_OPair @t5365 @t2176)) % 3.49/3.70 (define @t5367 () (tptp.c_Wellfounded_Oaccp (tptp.tc_prod @t5365 @t2176) tptp.c_Smallcheck_Osmall_H__rel)) % 3.49/3.70 (define @t5368 () (tptp.tc_fun @t92 @t5360)) % 3.49/3.70 (define @t5369 () (tptp.hAPP (tptp.hAPP @t55 @t4176) @t1513)) % 3.49/3.70 (define @t5370 () (tptp.c_Option_Ooption_OSome @t530)) % 3.49/3.70 (define @t5371 () (tptp.hAPP @t5370 @t349)) % 3.49/3.70 (define @t5372 () (tptp.tc_fun @t4984 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5373 () (tptp.c_Orderings_Otop__class_Otop @t5372)) % 3.49/3.70 (define @t5374 () (tptp.c_List_Omap @t10 @t92)) % 3.49/3.70 (define @t5375 () (tptp.hAPP @t5374 @t2)) % 3.49/3.70 (define @t5376 () (tptp.tc_List_Olist @t92)) % 3.49/3.70 (define @t5377 () (tptp.c_Fun_Oinj__on @t4984 @t5376 @t5375 @t5373)) % 3.49/3.70 (define @t5378 () (tptp.hAPP @t354 @t1624)) % 3.49/3.70 (define @t5379 () (@var "B_k_H" $$unsorted)) % 3.49/3.70 (define @t5380 () (tptp.hAPP @t5330 @t5379)) % 3.49/3.70 (define @t5381 () (tptp.hAPP @t5329 @t316)) % 3.49/3.70 (define @t5382 () (= @t5381 (tptp.hAPP @t387 @t5379))) % 3.49/3.70 (define @t5383 () (@list @t5379)) % 3.49/3.70 (define @t5384 () (tptp.c_Map_Omap__comp @t92 @t10 @t530 @t5330 @t5329 @t316)) % 3.49/3.70 (define @t5385 () (@var "V_k_H_2" $$unsorted)) % 3.49/3.70 (define @t5386 () (tptp.c_Map_Omap__comp @t10 @t530 @t92 @t5330 @t5329 @t316)) % 3.49/3.70 (define @t5387 () (@var "V_ys_2" $$unsorted)) % 3.49/3.70 (define @t5388 () (@var "V_xs_2" $$unsorted)) % 3.49/3.70 (define @t5389 () (= @t5388 @t5387)) % 3.49/3.70 (define @t5390 () (tptp.hAPP @t5375 @t5387)) % 3.49/3.70 (define @t5391 () (tptp.hAPP @t5375 @t5388)) % 3.49/3.70 (define @t5392 () (= (= @t5391 @t5390) @t5389)) % 3.49/3.70 (define @t5393 () (@list @t5387 @t5388 @t2 @t92 @t10)) % 3.49/3.70 (define @t5394 () (tptp.c_List_Omap @t92 @t10)) % 3.49/3.70 (define @t5395 () (tptp.hAPP @t5394 @t2)) % 3.49/3.70 (define @t5396 () (tptp.hAPP @t5395 @t5387)) % 3.49/3.70 (define @t5397 () (tptp.hAPP @t5395 @t5388)) % 3.49/3.70 (define @t5398 () (= @t5397 @t5396)) % 3.49/3.70 (define @t5399 () (@list @t5387 @t5388 @t2 @t10 @t92)) % 3.49/3.70 (define @t5400 () (tptp.c_List_Omap @t10 @t10)) % 3.49/3.70 (define @t5401 () (tptp.hAPP @t5400 @t2159)) % 3.49/3.70 (define @t5402 () (@list @t5388 @t10)) % 3.49/3.70 (define @t5403 () (tptp.c_Fun_Oid @t4984)) % 3.49/3.70 (define @t5404 () (tptp.c_List_Omap @t530 @t10)) % 3.49/3.70 (define @t5405 () (tptp.hAPP @t5404 @t4222)) % 3.49/3.70 (define @t5406 () (tptp.c_List_Omap @t530 @t92)) % 3.49/3.70 (define @t5407 () (tptp.hAPP @t5406 @t1)) % 3.49/3.70 (define @t5408 () (@var "V_list_2" $$unsorted)) % 3.49/3.70 (define @t5409 () (tptp.hAPP @t5406 @t2)) % 3.49/3.70 (define @t5410 () (tptp.tc_List_Olist @t530)) % 3.49/3.70 (define @t5411 () (@list @t1 @t2 @t10 @t92 @t530)) % 3.49/3.70 (define @t5412 () (tptp.hAPP @t5409 @t5388)) % 3.49/3.70 (define @t5413 () (tptp.hAPP (tptp.c_COMBK @t3967 @t530) @t391)) % 3.49/3.70 (define @t5414 () (@list @t349 @t314 @t530 @t10 @t92)) % 3.49/3.70 (define @t5415 () (tptp.c_Option_Omap @t530 @t92)) % 3.49/3.70 (define @t5416 () (tptp.hAPP @t5415 @t2)) % 3.49/3.70 (define @t5417 () (tptp.tc_Option_Ooption @t530)) % 3.49/3.70 (define @t5418 () (tptp.c_Fun_Ocomp @t5417 @t3967 @t10 @t5416)) % 3.49/3.70 (define @t5419 () (tptp.tc_fun @t530 @t2388)) % 3.49/3.70 (define @t5420 () (tptp.hAPP (tptp.c_List_Omap @t4762 @t2388) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t530 @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4549 @t5419) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 (tptp.tc_fun @t4549 @t5419) @t10) (tptp.c_COMBB @t92 @t2388 @t530)) @t2349)) @t2)))) % 3.49/3.70 (define @t5421 () (tptp.hAPP (tptp.c_COMBS @t10 @t92 @t2388) @t2349)) % 3.49/3.70 (define @t5422 () (tptp.c_List_Omap @t10 @t2388)) % 3.49/3.70 (define @t5423 () (tptp.c_List_Oset @t10)) % 3.49/3.70 (define @t5424 () (tptp.hAPP @t5423 @t5388)) % 3.49/3.70 (define @t5425 () (tptp.c_List_Oset @t92)) % 3.49/3.70 (define @t5426 () (tptp.hAPP @t5425 @t5388)) % 3.49/3.70 (define @t5427 () (tptp.hAPP @t3008 @t5426)) % 3.49/3.70 (define @t5428 () (@list @t5388 @t2 @t92 @t10)) % 3.49/3.70 (define @t5429 () (tptp.hAPP (tptp.hAPP @t5394 @t1) @t5388)) % 3.49/3.70 (define @t5430 () (tptp.c_Option_Omap @t10 @t92)) % 3.49/3.70 (define @t5431 () (@var "V_option_2" $$unsorted)) % 3.49/3.70 (define @t5432 () (tptp.hAPP (tptp.c_Option_Omap @t530 @t10) @t4222)) % 3.49/3.70 (define @t5433 () (tptp.hAPP @t5415 @t1)) % 3.49/3.70 (define @t5434 () (tptp.hAPP (tptp.c_Option_Omap @t92 @t10) @t2)) % 3.49/3.70 (define @t5435 () (@var "V_opt_2" $$unsorted)) % 3.49/3.70 (define @t5436 () (tptp.hAPP (tptp.c_Option_Omap @t2394 @t530) @t2)) % 3.49/3.70 (define @t5437 () (tptp.tc_Option_Ooption @t2394)) % 3.49/3.70 (define @t5438 () (tptp.c_Fun_Oid @t2655)) % 3.49/3.70 (define @t5439 () (tptp.c_Option_Omap @t10 @t10)) % 3.49/3.70 (define @t5440 () (tptp.c_Finite__Set_Ofinite @t4984)) % 3.49/3.70 (define @t5441 () (@list @t349 @t2 @t10 @t92)) % 3.49/3.70 (define @t5442 () (tptp.hAPP @t5423 @t5387)) % 3.49/3.70 (define @t5443 () (tptp.hAPP (tptp.hAPP @t3096 @t5424) @t5442)) % 3.49/3.70 (define @t5444 () (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t5443)) % 3.49/3.70 (define @t5445 () (tptp.hAPP @t5425 @t5387)) % 3.49/3.70 (define @t5446 () (tptp.hBOOL (tptp.hAPP @t3655 @t5424))) % 3.49/3.70 (define @t5447 () (tptp.c_List_Oset @t2388)) % 3.49/3.70 (define @t5448 () (tptp.hAPP @t5447 @t5387)) % 3.49/3.70 (define @t5449 () (tptp.hAPP @t5447 @t5388)) % 3.49/3.70 (define @t5450 () (tptp.c_Map_Omap__of @t10 @t92 @t5387)) % 3.49/3.70 (define @t5451 () (tptp.c_Map_Omap__of @t10 @t92 @t5388)) % 3.49/3.70 (define @t5452 () (= @t5451 @t5450)) % 3.49/3.70 (define @t5453 () (@list @t5387 @t5388 @t92 @t10)) % 3.49/3.70 (define @t5454 () (tptp.c_List_Oset @t2625)) % 3.49/3.70 (define @t5455 () (tptp.hAPP (tptp.c_Map_Omap__of @t92 @t10 @t5388) @t316)) % 3.49/3.70 (define @t5456 () (tptp.hAPP @t5454 @t5345)) % 3.49/3.70 (define @t5457 () (tptp.hAPP @t5346 @t349)) % 3.49/3.70 (define @t5458 () (tptp.hAPP @t5447 @t5345)) % 3.49/3.70 (define @t5459 () (tptp.c_Map_Omap__of @t10 @t92 @t5345)) % 3.49/3.70 (define @t5460 () (tptp.tc_prod tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 3.49/3.70 (define @t5461 () (@var "V_ks_2" $$unsorted)) % 3.49/3.70 (define @t5462 () (@var "V_al_2" $$unsorted)) % 3.49/3.70 (define @t5463 () (tptp.hAPP (tptp.c_List_Omap @t2388 @t10) @t2505)) % 3.49/3.70 (define @t5464 () (tptp.c_List_Odistinct @t10)) % 3.49/3.70 (define @t5465 () (tptp.hBOOL (tptp.hAPP @t5464 (tptp.hAPP @t5463 @t5388)))) % 3.49/3.70 (define @t5466 () (@list @t5388 @t92 @t10)) % 3.49/3.70 (define @t5467 () (tptp.c_List_Odistinct @t92)) % 3.49/3.70 (define @t5468 () (tptp.hBOOL (tptp.hAPP @t5467 @t5388))) % 3.49/3.70 (define @t5469 () (tptp.hAPP @t5459 @t349)) % 3.49/3.70 (define @t5470 () (= @t5469 @t3968)) % 3.49/3.70 (define @t5471 () (tptp.hBOOL (tptp.hAPP @t3626 @t5458))) % 3.49/3.70 (define @t5472 () (tptp.hBOOL (tptp.hAPP @t5464 (tptp.hAPP @t5463 @t5345)))) % 3.49/3.70 (define @t5473 () (@list @t610 @t349 @t5345 @t92 @t10)) % 3.49/3.70 (define @t5474 () (tptp.hAPP (tptp.hAPP @t1392 @t1483) @t686)) % 3.49/3.70 (define @t5475 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 3.49/3.70 (define @t5476 () (tptp.c_List_Oupto @t143 @t1483)) % 3.49/3.70 (define @t5477 () (tptp.hAPP @t5475 @t5476)) % 3.49/3.70 (define @t5478 () (tptp.c_List_Oupto @t471 @t473)) % 3.49/3.70 (define @t5479 () (tptp.c_List_Oupto @t3559 @t1483)) % 3.49/3.70 (define @t5480 () (tptp.hAPP @t2522 @t5424)) % 3.49/3.70 (define @t5481 () (tptp.c_List_Oremove1 @t10 @t349 @t5388)) % 3.49/3.70 (define @t5482 () (tptp.hAPP @t5423 @t5481)) % 3.49/3.70 (define @t5483 () (tptp.hBOOL (tptp.hAPP @t5464 @t5388))) % 3.49/3.70 (define @t5484 () (@list @t349 @t5388 @t10)) % 3.49/3.70 (define @t5485 () (tptp.hBOOL (tptp.hAPP @t3580 @t5424))) % 3.49/3.70 (define @t5486 () (not @t5485)) % 3.49/3.70 (define @t5487 () (@list @t5388 @t349 @t10)) % 3.49/3.70 (define @t5488 () (tptp.hBOOL (tptp.hAPP @t3595 @t5424))) % 3.49/3.70 (define @t5489 () (@var "V_zs" $$unsorted)) % 3.49/3.70 (define @t5490 () (@list @t5489 @t100 @t101 @t66)) % 3.49/3.70 (define @t5491 () (@var "V_xs" $$unsorted)) % 3.49/3.70 (define @t5492 () (tptp.c_List_Oremove1 @t66 @t101 @t5491)) % 3.49/3.70 (define @t5493 () (tptp.c_List_Odistinct @t66)) % 3.49/3.70 (define @t5494 () (tptp.hBOOL (tptp.hAPP @t5493 @t5491))) % 3.49/3.70 (define @t5495 () (@list @t101 @t5491 @t66)) % 3.49/3.70 (define @t5496 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t1261)) % 3.49/3.70 (define @t5497 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t3537)) % 3.49/3.70 (define @t5498 () (tptp.c_List_Ozip @t10 @t92)) % 3.49/3.70 (define @t5499 () (tptp.hAPP @t5498 @t5388)) % 3.49/3.70 (define @t5500 () (tptp.hAPP (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP @t5499 @t5391)) @t349)) % 3.49/3.70 (define @t5501 () (@var "V_ys" $$unsorted)) % 3.49/3.70 (define @t5502 () (tptp.tc_prod @t10 @t66)) % 3.49/3.70 (define @t5503 () (tptp.c_List_Ozip @t66 @t10)) % 3.49/3.70 (define @t5504 () (tptp.hAPP @t5503 @t5491)) % 3.49/3.70 (define @t5505 () (tptp.hAPP @t5504 @t5501)) % 3.49/3.70 (define @t5506 () (tptp.tc_prod @t66 @t10)) % 3.49/3.70 (define @t5507 () (@list @t5501 @t10 @t5491 @t66)) % 3.49/3.70 (define @t5508 () (tptp.hAPP (tptp.c_List_Ozip @t10 @t10) @t5388)) % 3.49/3.70 (define @t5509 () (tptp.hAPP @t5508 @t5388)) % 3.49/3.70 (define @t5510 () (@var "V_zs_2" $$unsorted)) % 3.49/3.70 (define @t5511 () (tptp.hAPP (tptp.c_List_Omap @t2388 @t92) @t2504)) % 3.49/3.70 (define @t5512 () (tptp.hAPP @t5511 @t5510)) % 3.49/3.70 (define @t5513 () (tptp.hAPP @t5463 @t5510)) % 3.49/3.70 (define @t5514 () (tptp.tc_fun @t2394 @t2393)) % 3.49/3.70 (define @t5515 () (tptp.tc_fun @t2394 @t530)) % 3.49/3.70 (define @t5516 () (tptp.c_List_Ozip @t92 @t530)) % 3.49/3.70 (define @t5517 () (tptp.hAPP (tptp.c_List_Omap @t2393 @t10) @t2)) % 3.49/3.70 (define @t5518 () (tptp.hAPP (tptp.c_List_Omap @t2394 @t92) @t1)) % 3.49/3.70 (define @t5519 () (tptp.hBOOL (tptp.hAPP @t3658 @t5445))) % 3.49/3.70 (define @t5520 () (tptp.hAPP @t5499 @t5387)) % 3.49/3.70 (define @t5521 () (tptp.hAPP @t5447 @t5520)) % 3.49/3.70 (define @t5522 () (tptp.hBOOL (tptp.hAPP @t3626 @t5521))) % 3.49/3.70 (define @t5523 () (@list @t5387 @t5388 @t610 @t349 @t92 @t10)) % 3.49/3.70 (define @t5524 () (tptp.c_List_Oset @t3759)) % 3.49/3.70 (define @t5525 () (tptp.hAPP @t5498 (tptp.hAPP (tptp.hAPP @t5404 @t2) @t5388))) % 3.49/3.70 (define @t5526 () (tptp.tc_fun @t2394 @t2388)) % 3.49/3.70 (define @t5527 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t10 @t2159)) % 3.49/3.70 (define @t5528 () (tptp.hAPP @t5527 @t349)) % 3.49/3.70 (define @t5529 () (tptp.hAPP (tptp.c_List_Ozip @t92 @t10) @t5388)) % 3.49/3.70 (define @t5530 () (tptp.c_Map_Omap__of @t92 @t10 (tptp.hAPP @t5529 @t5510))) % 3.49/3.70 (define @t5531 () (tptp.c_Map_Omap__of @t92 @t10 (tptp.hAPP @t5529 @t5387))) % 3.49/3.70 (define @t5532 () (= @t5531 @t5530)) % 3.49/3.70 (define @t5533 () (tptp.hAPP @t354 @t583)) % 3.49/3.70 (define @t5534 () (tptp.c_Nat_Osize__class_Osize @t5376)) % 3.49/3.70 (define @t5535 () (tptp.hAPP @t5534 @t5388)) % 3.49/3.70 (define @t5536 () (tptp.c_Nat_Osize__class_Osize @t4984)) % 3.49/3.70 (define @t5537 () (= (tptp.hAPP @t5536 @t5510) @t5535)) % 3.49/3.70 (define @t5538 () (tptp.hAPP @t5536 @t5387)) % 3.49/3.70 (define @t5539 () (= @t5538 @t5535)) % 3.49/3.70 (define @t5540 () (tptp.hAPP @t5536 @t5501)) % 3.49/3.70 (define @t5541 () (tptp.tc_List_Olist @t66)) % 3.49/3.70 (define @t5542 () (tptp.c_Nat_Osize__class_Osize @t5541)) % 3.49/3.70 (define @t5543 () (tptp.hAPP @t5542 @t5491)) % 3.49/3.70 (define @t5544 () (tptp.hAPP @t2448 @t5543)) % 3.49/3.70 (define @t5545 () (tptp.hAPP @t3374 @t5424)) % 3.49/3.70 (define @t5546 () (tptp.c_List_Olinorder__class_Oinsort__key @t10 @t92 @t2)) % 3.49/3.70 (define @t5547 () (tptp.hAPP @t5546 @t349)) % 3.49/3.70 (define @t5548 () (tptp.hAPP @t5547 @t5388)) % 3.49/3.70 (define @t5549 () (tptp.class_Orderings_Olinorder @t92)) % 3.49/3.70 (define @t5550 () (@list @t5388 @t349 @t2 @t10 @t92)) % 3.49/3.70 (define @t5551 () (tptp.hAPP @t5528 @t5388)) % 3.49/3.70 (define @t5552 () (tptp.hAPP @t5527 @t610)) % 3.49/3.70 (define @t5553 () (tptp.c_List_Olinorder__class_Oinsort__key @t92 @t10 @t2)) % 3.49/3.70 (define @t5554 () (tptp.hAPP @t5553 @t610)) % 3.49/3.70 (define @t5555 () (tptp.hAPP @t5553 @t349)) % 3.49/3.70 (define @t5556 () (tptp.hAPP @t5555 @t5388)) % 3.49/3.70 (define @t5557 () (tptp.hAPP @t5536 @t5388)) % 3.49/3.70 (define @t5558 () (tptp.hAPP tptp.c_Nat_OSuc @t5557)) % 3.49/3.70 (define @t5559 () (= @t5491 @t5501)) % 3.49/3.70 (define @t5560 () (tptp.hAPP @t5542 @t5501)) % 3.49/3.70 (define @t5561 () (@list @t5501 @t5491 @t66)) % 3.49/3.70 (define @t5562 () (tptp.c_Product__Type_OPair @t4984 @t4984)) % 3.49/3.70 (define @t5563 () (tptp.hAPP @t5562 @t5388)) % 3.49/3.70 (define @t5564 () (tptp.c_member @t4987)) % 3.49/3.70 (define @t5565 () (tptp.hAPP @t5564 (tptp.hAPP @t5563 @t5387))) % 3.49/3.70 (define @t5566 () (tptp.hAPP @t3064 @t5424)) % 3.49/3.70 (define @t5567 () (= @t5566 @t5557)) % 3.49/3.70 (define @t5568 () (= @t5387 @t5510)) % 3.49/3.70 (define @t5569 () (tptp.hAPP @t5534 @t5387)) % 3.49/3.70 (define @t5570 () (= @t5557 @t5569)) % 3.49/3.70 (define @t5571 () (@list @t5387 @t92 @t5388 @t10)) % 3.49/3.70 (define @t5572 () (and @t5486 @t5483)) % 3.49/3.70 (define @t5573 () (tptp.hBOOL (tptp.hAPP @t405 @t5557))) % 3.49/3.70 (define @t5574 () (tptp.tc_fun @t4988 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5575 () (tptp.tc_fun @t4984 @t5574)) % 3.49/3.70 (define @t5576 () (tptp.tc_fun @t4984 @t4987)) % 3.49/3.70 (define @t5577 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2184 @t4984)) % 3.49/3.70 (define @t5578 () (tptp.hAPP (tptp.hAPP @t5577 tptp.c_fequal) @t5536)) % 3.49/3.70 (define @t5579 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t4984)) % 3.49/3.70 (define @t5580 () (tptp.tc_fun @t4984 tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5581 () (tptp.hAPP (tptp.c_COMBB @t2184 (tptp.tc_fun @t5580 @t5372) @t4984) @t5579)) % 3.49/3.70 (define @t5582 () (tptp.c_COMBC @t4984 @t5580 @t5372)) % 3.49/3.70 (define @t5583 () (tptp.hAPP (tptp.hAPP @t5582 (tptp.hAPP @t5581 @t5578)) @t5536)) % 3.49/3.70 (define @t5584 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 @t4984)) % 3.49/3.70 (define @t5585 () (tptp.hAPP @t5584 tptp.c_fconj)) % 3.49/3.70 (define @t5586 () (tptp.tc_fun @t4984 @t2189)) % 3.49/3.70 (define @t5587 () (tptp.c_COMBB @t5372 @t5586 @t4984)) % 3.49/3.70 (define @t5588 () (tptp.c_COMBS @t4984 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5589 () (tptp.tc_fun @t5372 @t5372)) % 3.49/3.70 (define @t5590 () (tptp.hAPP (tptp.c_COMBB @t5586 @t5589 @t4984) @t5588)) % 3.49/3.70 (define @t5591 () (tptp.c_COMBS @t4984 @t5372 @t5372)) % 3.49/3.70 (define @t5592 () (tptp.c_Product__Type_Oprod_Oprod__case @t4984 @t4984 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5593 () (tptp.c_Set_OCollect @t4987)) % 3.49/3.70 (define @t5594 () (tptp.tc_prod tptp.tc_Nat_Onat @t4984)) % 3.49/3.70 (define @t5595 () (tptp.c_COMBC @t4984 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5596 () (tptp.hAPP @t5595 @t5578)) % 3.49/3.70 (define @t5597 () (tptp.c_COMBB @t2309 @t2729 @t4984)) % 3.49/3.70 (define @t5598 () (tptp.c_COMBC @t4984 @t2309 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t5599 () (tptp.hAPP (tptp.hAPP @t5598 (tptp.hAPP (tptp.hAPP @t5597 @t2310) @t5423)) @t1261)) % 3.49/3.70 (define @t5600 () (tptp.hAPP @t5588 (tptp.hAPP @t5585 @t5599))) % 3.49/3.70 (define @t5601 () (tptp.c_Set_OCollect @t4984)) % 3.49/3.70 (define @t5602 () (@list @t19 @t1261 @t10)) % 3.49/3.70 (define @t5603 () (tptp.hBOOL (tptp.hAPP @t4455 (tptp.hAPP @t5524 (tptp.hAPP @t5508 @t5387))))) % 3.49/3.70 (define @t5604 () (= @t5557 @t5538)) % 3.49/3.70 (define @t5605 () (@list @t10 @t5387 @t5388)) % 3.49/3.70 (define @t5606 () (tptp.c_Map_Omap__of @t10 @t92 @t5520)) % 3.49/3.70 (define @t5607 () (tptp.hAPP @t5606 @t349)) % 3.49/3.70 (define @t5608 () (@list @t349 @t5387 @t92 @t5388 @t10)) % 3.49/3.70 (define @t5609 () (tptp.hAPP @t5536 @t5481)) % 3.49/3.70 (define @t5610 () (tptp.c_Nitpick_Ocard_H @t10 @t1261)) % 3.49/3.70 (define @t5611 () (tptp.c_Hilbert__Choice_OEps @t4984 (tptp.hAPP (tptp.hAPP @t5588 (tptp.hAPP @t5585 (tptp.hAPP (tptp.hAPP @t5598 (tptp.hAPP (tptp.hAPP @t5597 tptp.c_fequal) @t5423)) @t1261))) @t5464))) % 3.49/3.70 (define @t5612 () (tptp.c_List_Olistrel @t10 @t1972)) % 3.49/3.70 (define @t5613 () (tptp.hBOOL (tptp.hAPP @t5565 @t5612))) % 3.49/3.70 (define @t5614 () (@list @t1972 @t5387 @t5388 @t10)) % 3.49/3.70 (define @t5615 () (tptp.c_List_Olistrel @t10 @t5061)) % 3.49/3.70 (define @t5616 () (@list @t1972 @t5388 @t10)) % 3.49/3.70 (define @t5617 () (tptp.hAPP @t5562 @t5387)) % 3.49/3.70 (define @t5618 () (tptp.hBOOL (tptp.hAPP @t5565 @t5615))) % 3.49/3.70 (define @t5619 () (tptp.c_Orderings_Oord__class_Oless__eq @t4988)) % 3.49/3.70 (define @t5620 () (tptp.hAPP @t5619 @t5612)) % 3.49/3.70 (define @t5621 () (tptp.hAPP @t5562 @t349)) % 3.49/3.70 (define @t5622 () (tptp.hAPP @t5596 @t48)) % 3.49/3.70 (define @t5623 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t4984)) % 3.49/3.70 (define @t5624 () (tptp.c_List_Olist_OCons @t10)) % 3.49/3.70 (define @t5625 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t4984 @t4984) @t5624)) % 3.49/3.70 (define @t5626 () (tptp.tc_prod @t10 @t4984)) % 3.49/3.70 (define @t5627 () (tptp.c_List_Olist_OCons @t66)) % 3.49/3.70 (define @t5628 () (tptp.hAPP @t5627 @t101)) % 3.49/3.70 (define @t5629 () (tptp.hAPP @t5628 @t5501)) % 3.49/3.70 (define @t5630 () (tptp.hAPP @t915 @t5543)) % 3.49/3.70 (define @t5631 () (tptp.hAPP @t5624 @t349)) % 3.49/3.70 (define @t5632 () (tptp.hAPP @t5631 @t5388)) % 3.49/3.70 (define @t5633 () (tptp.hAPP @t5423 @t5632)) % 3.49/3.70 (define @t5634 () (tptp.hAPP @t5628 @t5491)) % 3.49/3.70 (define @t5635 () (tptp.hAPP @t2310 @t5424)) % 3.49/3.70 (define @t5636 () (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5388 @t168)) % 3.49/3.70 (define @t5637 () (tptp.c_List_Olist_OCons @t92)) % 3.49/3.70 (define @t5638 () (tptp.hAPP @t5637 @t349)) % 3.49/3.70 (define @t5639 () (tptp.hAPP @t5638 @t5388)) % 3.49/3.70 (define @t5640 () (@list @t101 @t66 @t5491)) % 3.49/3.70 (define @t5641 () (@list @t5491 @t101 @t66)) % 3.49/3.70 (define @t5642 () (@var "V_list_H_2" $$unsorted)) % 3.49/3.70 (define @t5643 () (tptp.hAPP @t5624 @t168)) % 3.49/3.70 (define @t5644 () (tptp.hAPP @t5643 @t5408)) % 3.49/3.70 (define @t5645 () (tptp.hAPP @t5624 @t29)) % 3.49/3.70 (define @t5646 () (tptp.hAPP @t5624 @t610)) % 3.49/3.70 (define @t5647 () (tptp.hAPP @t5646 @t5387)) % 3.49/3.70 (define @t5648 () (tptp.hAPP @t5627 @t100)) % 3.49/3.70 (define @t5649 () (tptp.hAPP @t5648 @t5491)) % 3.49/3.70 (define @t5650 () (tptp.c_List_Oremove1 @t66 @t101 @t5649)) % 3.49/3.70 (define @t5651 () (tptp.hAPP @t5637 @t610)) % 3.49/3.70 (define @t5652 () (tptp.hAPP @t5651 @t5387)) % 3.49/3.70 (define @t5653 () (tptp.hAPP @t5555 @t5652)) % 3.49/3.70 (define @t5654 () (@var "V_ps" $$unsorted)) % 3.49/3.70 (define @t5655 () (tptp.c_List_Olist_OCons @t2388)) % 3.49/3.70 (define @t5656 () (tptp.hAPP (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.hAPP @t5655 (tptp.hAPP (tptp.hAPP @t2349 @t485) @t905)) @t5654)) @t311)) % 3.49/3.70 (define @t5657 () (= @t485 @t311)) % 3.49/3.70 (define @t5658 () (@var "V_list" $$unsorted)) % 3.49/3.70 (define @t5659 () (tptp.hAPP @t5627 @t249)) % 3.49/3.70 (define @t5660 () (tptp.hAPP @t5562 @t5632)) % 3.49/3.70 (define @t5661 () (tptp.hAPP @t5564 (tptp.hAPP @t5660 @t5647))) % 3.49/3.70 (define @t5662 () (@list @t5387 @t5388 @t1972 @t610 @t349 @t10)) % 3.49/3.70 (define @t5663 () (@list @t1972 @t5387 @t610 @t5388 @t349 @t10)) % 3.49/3.70 (define @t5664 () (tptp.c_Orderings_Obot__class_Obot @t5372)) % 3.49/3.70 (define @t5665 () (tptp.c_Set_Oinsert @t4984)) % 3.49/3.70 (define @t5666 () (tptp.c_Relation_OImage @t4984 @t4984 @t5612)) % 3.49/3.70 (define @t5667 () (tptp.c_member @t4984)) % 3.49/3.70 (define @t5668 () (tptp.tc_fun @t4984 @t4984)) % 3.49/3.70 (define @t5669 () (tptp.tc_fun @t5668 @t5372)) % 3.49/3.70 (define @t5670 () (tptp.tc_fun @t10 @t5372)) % 3.49/3.70 (define @t5671 () (tptp.tc_fun @t10 @t5668)) % 3.49/3.70 (define @t5672 () (tptp.tc_fun @t10 @t5586)) % 3.49/3.70 (define @t5673 () (tptp.tc_fun @t10 @t5589)) % 3.49/3.70 (define @t5674 () (@var "B_ys" $$unsorted)) % 3.49/3.70 (define @t5675 () (tptp.hAPP @t5624 @t267)) % 3.49/3.70 (define @t5676 () (@var "B_xs" $$unsorted)) % 3.49/3.70 (define @t5677 () (tptp.hAPP @t5624 @t4)) % 3.49/3.70 (define @t5678 () (tptp.hAPP @t4787 @t5557)) % 3.49/3.70 (define @t5679 () (tptp.hAPP @t2886 (tptp.hAPP @t2884 @t5678))) % 3.49/3.70 (define @t5680 () (tptp.hAPP @t5679 (tptp.hAPP @t4789 @t3286))) % 3.49/3.70 (define @t5681 () (tptp.c_List_Osublist @t10 @t5388 @t3286)) % 3.49/3.70 (define @t5682 () (@list @t3286 @t5388 @t10)) % 3.49/3.70 (define @t5683 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t66) @t101)) % 3.49/3.70 (define @t5684 () (tptp.hAPP (tptp.c_Random_Opick @t66 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t66)) @t101) @t5491)) @t471)) % 3.49/3.70 (define @t5685 () (tptp.hBOOL (tptp.hAPP @t2105 @t5683))) % 3.49/3.70 (define @t5686 () (tptp.hAPP @t5423 @t5681)) % 3.49/3.70 (define @t5687 () (tptp.hBOOL (tptp.hAPP @t3580 @t5686))) % 3.49/3.70 (define @t5688 () (@list @t3286 @t5388 @t349 @t10)) % 3.49/3.70 (define @t5689 () (tptp.c_Random_Oselect__weight @t10 @t5388)) % 3.49/3.70 (define @t5690 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 3.49/3.70 (define @t5691 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t10)) % 3.49/3.70 (define @t5692 () (tptp.hAPP @t5423 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5691 @t10) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t5388))) % 3.49/3.70 (define @t5693 () (tptp.c_Random_Opick @t10 @t5388)) % 3.49/3.70 (define @t5694 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5691 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t10)) @t5388))) % 3.49/3.70 (define @t5695 () (@list @t5388 @t10 @t143)) % 3.49/3.70 (define @t5696 () (tptp.c_List_Omonoid__add__class_Olistsum @t66)) % 3.49/3.70 (define @t5697 () (tptp.hAPP @t5696 @t5491)) % 3.49/3.70 (define @t5698 () (tptp.c_List_Omonoid__add__class_Olistsum @t10)) % 3.49/3.70 (define @t5699 () (tptp.hAPP @t5698 @t5429)) % 3.49/3.70 (define @t5700 () (tptp.hAPP @t5698 @t5397)) % 3.49/3.70 (define @t5701 () (@list @t5388 @t1 @t2 @t92 @t10)) % 3.49/3.70 (define @t5702 () (tptp.class_Groups_Omonoid__add @t10)) % 3.49/3.70 (define @t5703 () (tptp.hAPP @t5698 @t5388)) % 3.49/3.70 (define @t5704 () (tptp.tc_prod @t10 @t2556)) % 3.49/3.70 (define @t5705 () (tptp.hAPP (tptp.c_COMBB @t10 (tptp.tc_fun @t2556 @t5704) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t10 @t2556))) % 3.49/3.70 (define @t5706 () (tptp.c_Product__Type_Oscomp @t2556 tptp.tc_Code__Numeral_Ocode__numeral @t2556 @t5704)) % 3.49/3.70 (define @t5707 () (tptp.c_List_Omonoid__add__class_Olistsum @t92)) % 3.49/3.70 (define @t5708 () (tptp.hAPP @t5707 @t5391)) % 3.49/3.70 (define @t5709 () (tptp.c_List_Oupto @t316 @t1477)) % 3.49/3.70 (define @t5710 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t10) @t2)) % 3.49/3.70 (define @t5711 () (tptp.c_Product__Type_Ofst @t10 @t2556)) % 3.49/3.70 (define @t5712 () (@list @t18 @t5388 @t10)) % 3.49/3.70 (define @t5713 () (tptp.c_Nitpick_Osetsum_H @t10 @t92 @t2 @t1261)) % 3.49/3.70 (define @t5714 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 3.49/3.70 (define @t5715 () (tptp.hBOOL (tptp.hAPP @t1128 @t1483))) % 3.49/3.70 (define @t5716 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 3.49/3.70 (define @t5717 () (tptp.c_List_Olist_ONil @t10)) % 3.49/3.70 (define @t5718 () (= @t5388 @t5717)) % 3.49/3.70 (define @t5719 () (tptp.hAPP @t5564 (tptp.hAPP @t5563 @t5717))) % 3.49/3.70 (define @t5720 () (tptp.hAPP @t5562 @t5717)) % 3.49/3.70 (define @t5721 () (tptp.hAPP @t5564 (tptp.hAPP @t5720 @t5388))) % 3.49/3.70 (define @t5722 () (@var "V_ns_2" $$unsorted)) % 3.49/3.70 (define @t5723 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5724 () (tptp.hAPP @t5723 @t5722)) % 3.49/3.70 (define @t5725 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2932 @t5724)) (= @t4 @t199)))) % 3.49/3.70 (define @t5726 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5727 () (tptp.c_List_Olist_ONil @t66)) % 3.49/3.70 (define @t5728 () (tptp.c_List_Olist_ONil @t92)) % 3.49/3.70 (define @t5729 () (= @t5388 @t5728)) % 3.49/3.70 (define @t5730 () (@list @t5388 @t2 @t10 @t92)) % 3.49/3.70 (define @t5731 () (tptp.hAPP @t5546 @t168)) % 3.49/3.70 (define @t5732 () (= @t5478 @t5714)) % 3.49/3.70 (define @t5733 () (tptp.c_List_Olist_ONil @t5506)) % 3.49/3.70 (define @t5734 () (@var "V_list_H" $$unsorted)) % 3.49/3.70 (define @t5735 () (tptp.hAPP (tptp.hAPP @t5627 @t360) @t5734)) % 3.49/3.70 (define @t5736 () (@list @t5734 @t360 @t66)) % 3.49/3.70 (define @t5737 () (tptp.hAPP @t5631 @t5717)) % 3.49/3.70 (define @t5738 () (not @t5718)) % 3.49/3.70 (define @t5739 () (tptp.hAPP @t5720 @t5717)) % 3.49/3.70 (define @t5740 () (tptp.c_List_Osublist @t10 @t5737 @t1261)) % 3.49/3.70 (define @t5741 () (tptp.hAPP @t4797 @t1261)) % 3.49/3.70 (define @t5742 () (tptp.hBOOL @t5741)) % 3.49/3.70 (define @t5743 () (tptp.hAPP @t1566 @t235)) % 3.49/3.70 (define @t5744 () (tptp.c_List_Oupto @t5743 @t1932)) % 3.49/3.70 (define @t5745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t5743) @t1932))) % 3.49/3.70 (define @t5746 () (tptp.hAPP (tptp.hAPP @t5665 @t5717) @t5664)) % 3.49/3.70 (define @t5747 () (tptp.hAPP (tptp.c_COMBC @t10 @t4984 @t4984) @t5624)) % 3.49/3.70 (define @t5748 () (tptp.hAPP @t5747 @t5717)) % 3.49/3.70 (define @t5749 () (tptp.c_Random_Oselect @t10 @t5388)) % 3.49/3.70 (define @t5750 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t5691) (tptp.hAPP @t5690 @t1970)) @t5388)) % 3.49/3.70 (define @t5751 () (@list @t10 @t5388)) % 3.49/3.70 (define @t5752 () (tptp.c_Product__Type_OPair @t4984 @t92)) % 3.49/3.70 (define @t5753 () (tptp.tc_prod @t4984 @t92)) % 3.49/3.70 (define @t5754 () (tptp.tc_fun @t92 @t5753)) % 3.49/3.70 (define @t5755 () (tptp.tc_fun @t4984 @t5754)) % 3.49/3.70 (define @t5756 () (tptp.tc_fun @t5753 @t5753)) % 3.49/3.70 (define @t5757 () (tptp.hAPP (tptp.hAPP @t5752 @t5717) @t349)) % 3.49/3.70 (define @t5758 () (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph @t92 @t10 @t2 @t316) @t349)) % 3.49/3.70 (define @t5759 () (@var "V_As_2" $$unsorted)) % 3.49/3.70 (define @t5760 () (tptp.tc_List_Olist @t2388)) % 3.49/3.70 (define @t5761 () (tptp.tc_fun @t5760 @t5760)) % 3.49/3.70 (define @t5762 () (tptp.tc_fun @t5376 @t5760)) % 3.49/3.70 (define @t5763 () (tptp.c_List_Olist_ONil @t2388)) % 3.49/3.70 (define @t5764 () (tptp.tc_fun @t4984 @t5760)) % 3.49/3.70 (define @t5765 () (tptp.c_List_Olist_Olist__case @t10 @t92 @t76 @t75)) % 3.49/3.70 (define @t5766 () (tptp.c_List_Onth @t10)) % 3.49/3.70 (define @t5767 () (tptp.hAPP @t5766 @t5388)) % 3.49/3.70 (define @t5768 () (tptp.c_List_Onth @t66)) % 3.49/3.70 (define @t5769 () (tptp.hAPP @t5768 @t5634)) % 3.49/3.70 (define @t5770 () (tptp.hAPP @t5768 @t5491)) % 3.49/3.70 (define @t5771 () (tptp.hAPP @t5770 @t65)) % 3.49/3.70 (define @t5772 () (tptp.hAPP @t5767 @t19)) % 3.49/3.70 (define @t5773 () (tptp.c_List_Onth @t92)) % 3.49/3.70 (define @t5774 () (tptp.hBOOL (tptp.hAPP @t418 @t5557))) % 3.49/3.70 (define @t5775 () (tptp.hAPP @t5767 @t1183)) % 3.49/3.70 (define @t5776 () (tptp.hBOOL (tptp.hAPP @t1555 @t5557))) % 3.49/3.70 (define @t5777 () (tptp.hBOOL (tptp.hAPP @t2726 @t5424))) % 3.49/3.70 (define @t5778 () (forall @t8 (=> @t5777 @t1095))) % 3.49/3.70 (define @t5779 () (@list @t55 @t5388 @t10)) % 3.49/3.70 (define @t5780 () (tptp.hAPP @t5767 @t517)) % 3.49/3.70 (define @t5781 () (tptp.hBOOL (tptp.hAPP @t518 @t5557))) % 3.49/3.70 (define @t5782 () (tptp.hAPP @t5767 @t1483)) % 3.49/3.70 (define @t5783 () (tptp.hAPP @t5767 @t143)) % 3.49/3.70 (define @t5784 () (tptp.hAPP @t404 @t1483)) % 3.49/3.70 (define @t5785 () (tptp.hBOOL (tptp.hAPP @t1488 @t5557))) % 3.49/3.70 (define @t5786 () (@list @t1483 @t143 @t5388 @t10)) % 3.49/3.70 (define @t5787 () (tptp.hAPP @t5766 @t5387)) % 3.49/3.70 (define @t5788 () (tptp.hAPP @t5770 @t471)) % 3.49/3.70 (define @t5789 () (tptp.hBOOL (tptp.hAPP @t476 @t5543))) % 3.49/3.70 (define @t5790 () (@var "V_ns" $$unsorted)) % 3.49/3.70 (define @t5791 () (tptp.hAPP @t5726 @t5790)) % 3.49/3.70 (define @t5792 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5793 () (tptp.hAPP (tptp.hAPP @t5792 @t5790) @t311)) % 3.49/3.70 (define @t5794 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5795 () (tptp.c_Nat_Osize__class_Osize @t5794)) % 3.49/3.70 (define @t5796 () (tptp.hBOOL (tptp.hAPP @t486 (tptp.hAPP @t5795 @t5790)))) % 3.49/3.70 (define @t5797 () (tptp.hAPP @t5769 @t65)) % 3.49/3.70 (define @t5798 () (@list @t5491 @t101 @t66 @t65)) % 3.49/3.70 (define @t5799 () (tptp.c_COMBB @t10 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5800 () (tptp.tc_fun tptp.tc_Nat_Onat @t10)) % 3.49/3.70 (define @t5801 () (tptp.hAPP (tptp.c_COMBC @t10 @t2184 @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2885 @t2887 @t10) @t2886) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 @t2885 @t10) @t2884) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5800 @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 (tptp.tc_fun @t5800 @t2184) @t10) @t5799) tptp.c_fequal)) @t5767))))) % 3.49/3.70 (define @t5802 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t5803 () (tptp.hAPP (tptp.c_COMBB @t2184 tptp.tc_HOL_Obool @t10) @t5802)) % 3.49/3.70 (define @t5804 () (tptp.hAPP @t5769 @t1557)) % 3.49/3.70 (define @t5805 () (not @t1765)) % 3.49/3.70 (define @t5806 () (@list @t5491 @t101 @t66 @t905)) % 3.49/3.70 (define @t5807 () (tptp.hAPP @t3765 (tptp.hAPP @t5767 @t9))) % 3.49/3.70 (define @t5808 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t9) @t5557))) % 3.49/3.70 (define @t5809 () (tptp.hAPP @t5773 @t5387)) % 3.49/3.70 (define @t5810 () (tptp.tc_fun tptp.tc_Nat_Onat @t2388)) % 3.49/3.70 (define @t5811 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t92 @t10 @t2 @t349 @t5388)) % 3.49/3.70 (define @t5812 () (tptp.hBOOL (tptp.hAPP @t3674 @t5427))) % 3.49/3.70 (define @t5813 () (@list @t5388 @t92 @t349 @t2 @t10)) % 3.49/3.70 (define @t5814 () (tptp.c_List_Olist__update @t10 @t5388)) % 3.49/3.70 (define @t5815 () (tptp.hAPP @t5814 @t143)) % 3.49/3.70 (define @t5816 () (tptp.hAPP @t5770 @t473)) % 3.49/3.70 (define @t5817 () (tptp.c_List_Olist__update @t66 @t5491)) % 3.49/3.70 (define @t5818 () (tptp.hAPP @t5817 @t471)) % 3.49/3.70 (define @t5819 () (tptp.hAPP @t5818 @t101)) % 3.49/3.70 (define @t5820 () (tptp.hAPP @t5768 @t5819)) % 3.49/3.70 (define @t5821 () (tptp.hAPP @t5820 @t473)) % 3.49/3.70 (define @t5822 () (= @t471 @t473)) % 3.49/3.70 (define @t5823 () (=> (not @t5822) (= @t5821 @t5816))) % 3.49/3.70 (define @t5824 () (@list @t471 @t5491 @t66)) % 3.49/3.70 (define @t5825 () (tptp.hAPP (tptp.c_List_Olist__update @t66 @t5727) @t471)) % 3.49/3.70 (define @t5826 () (tptp.hAPP (tptp.c_List_Olist__update @t5506 @t5505) @t471)) % 3.49/3.70 (define @t5827 () (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5501) @t471)) % 3.49/3.70 (define @t5828 () (@var "V_xy" $$unsorted)) % 3.49/3.70 (define @t5829 () (@list @t101 @t471 @t5491 @t66)) % 3.49/3.70 (define @t5830 () (tptp.hAPP @t5818 @t100)) % 3.49/3.70 (define @t5831 () (tptp.c_List_Olist__update @t66 @t5819)) % 3.49/3.70 (define @t5832 () (@var "V_x_H" $$unsorted)) % 3.49/3.70 (define @t5833 () (@var "V_i_H" $$unsorted)) % 3.49/3.70 (define @t5834 () (tptp.c_List_Olist__update @t66 @t5634)) % 3.49/3.70 (define @t5835 () (tptp.hAPP (tptp.c_COMBB @t4984 @t4984 tptp.tc_Nat_Onat) @t5631)) % 3.49/3.70 (define @t5836 () (tptp.hAPP @t5815 @t349)) % 3.49/3.70 (define @t5837 () (tptp.hAPP @t2310 (tptp.hAPP @t5423 @t5836))) % 3.49/3.70 (define @t5838 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t10 @t2159 @t349 @t5388)) % 3.49/3.70 (define @t5839 () (tptp.c_List_Oappend @t10)) % 3.49/3.70 (define @t5840 () (tptp.hAPP @t5631 @t1477)) % 3.49/3.70 (define @t5841 () (tptp.c_List_Olexord @t10 @t1972)) % 3.49/3.70 (define @t5842 () (tptp.hAPP @t5564 (tptp.hAPP @t5621 @t610))) % 3.49/3.70 (define @t5843 () (tptp.hBOOL (tptp.hAPP @t5842 @t5841))) % 3.49/3.70 (define @t5844 () (tptp.hAPP (tptp.hAPP @t5624 @t21) @t610)) % 3.49/3.70 (define @t5845 () (tptp.hAPP @t5643 @t349)) % 3.49/3.70 (define @t5846 () (tptp.c_List_Oappend @t66)) % 3.49/3.70 (define @t5847 () (tptp.hAPP @t5846 @t5491)) % 3.49/3.70 (define @t5848 () (tptp.hAPP @t5847 @t5629)) % 3.49/3.70 (define @t5849 () (tptp.hAPP @t5768 @t5501)) % 3.49/3.70 (define @t5850 () (tptp.hAPP @t260 @t5543)) % 3.49/3.70 (define @t5851 () (tptp.hAPP @t5847 @t5501)) % 3.49/3.70 (define @t5852 () (tptp.hAPP @t5768 @t5851)) % 3.49/3.70 (define @t5853 () (@var "V_vs" $$unsorted)) % 3.49/3.70 (define @t5854 () (tptp.hAPP @t5503 @t5501)) % 3.49/3.70 (define @t5855 () (@var "V_us" $$unsorted)) % 3.49/3.70 (define @t5856 () (tptp.c_List_Oappend @t5506)) % 3.49/3.70 (define @t5857 () (tptp.hAPP @t5503 @t5851)) % 3.49/3.70 (define @t5858 () (tptp.c_List_Olist__update @t66 @t5851)) % 3.49/3.70 (define @t5859 () (tptp.hAPP @t5648 @t5501)) % 3.49/3.70 (define @t5860 () (tptp.hAPP @t5839 @t5388)) % 3.49/3.70 (define @t5861 () (tptp.hAPP @t5860 @t5387)) % 3.49/3.70 (define @t5862 () (tptp.c_List_Oremove1 @t10 @t349 @t5861)) % 3.49/3.70 (define @t5863 () (@list @t5387 @t5388 @t349 @t10)) % 3.49/3.70 (define @t5864 () (@var "B_ys_H" $$unsorted)) % 3.49/3.70 (define @t5865 () (tptp.hAPP (tptp.hAPP @t5839 @t5864) @t5510)) % 3.49/3.70 (define @t5866 () (tptp.hAPP @t5631 @t5864)) % 3.49/3.70 (define @t5867 () (@list @t5864)) % 3.49/3.70 (define @t5868 () (= @t5387 @t5717)) % 3.49/3.70 (define @t5869 () (tptp.hAPP @t5839 @t5387)) % 3.49/3.70 (define @t5870 () (tptp.hAPP @t5869 @t5510)) % 3.49/3.70 (define @t5871 () (tptp.hAPP @t5646 @t5717)) % 3.49/3.70 (define @t5872 () (tptp.hAPP @t5869 @t5871)) % 3.49/3.70 (define @t5873 () (tptp.hAPP @t5860 @t5737)) % 3.49/3.70 (define @t5874 () (tptp.hAPP @t5839 @t1524)) % 3.49/3.70 (define @t5875 () (tptp.hAPP (tptp.hAPP @t5846 @t5501) @t5489)) % 3.49/3.70 (define @t5876 () (@var "V_xs1" $$unsorted)) % 3.49/3.70 (define @t5877 () (tptp.hAPP @t5846 @t5876)) % 3.49/3.70 (define @t5878 () (tptp.c_List_Oappend @t92)) % 3.49/3.70 (define @t5879 () (tptp.hAPP (tptp.hAPP @t5878 @t5388) @t5387)) % 3.49/3.70 (define @t5880 () (@list @t5387 @t5388 @t10)) % 3.49/3.70 (define @t5881 () (tptp.hAPP @t5839 @t5510)) % 3.49/3.70 (define @t5882 () (tptp.hAPP @t5860 @t5510)) % 3.49/3.70 (define @t5883 () (@list @t5510 @t5387 @t5388 @t10)) % 3.49/3.70 (define @t5884 () (@var "B_us" $$unsorted)) % 3.49/3.70 (define @t5885 () (tptp.hAPP @t5839 @t5884)) % 3.49/3.70 (define @t5886 () (tptp.hAPP @t5839 @t349)) % 3.49/3.70 (define @t5887 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 (tptp.hAPP @t5886 @t1524)) (tptp.hAPP @t5886 @t1624))) @t5841))) % 3.49/3.70 (define @t5888 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t1524) @t1624)) @t5841))) % 3.49/3.70 (define @t5889 () (tptp.hAPP (tptp.hAPP @t5846 @t5727) @t5501)) % 3.49/3.70 (define @t5890 () (and @t5718 @t5868)) % 3.49/3.70 (define @t5891 () (@list @t5491 @t66)) % 3.49/3.70 (define @t5892 () (tptp.hBOOL (tptp.hAPP @t5464 @t5387))) % 3.49/3.70 (define @t5893 () (tptp.hAPP @t1432 @t5543)) % 3.49/3.70 (define @t5894 () (tptp.hAPP @t5852 @t65)) % 3.49/3.70 (define @t5895 () (tptp.hBOOL (tptp.hAPP @t411 @t5543))) % 3.49/3.70 (define @t5896 () (not @t5895)) % 3.49/3.70 (define @t5897 () (tptp.hAPP (tptp.hAPP @t5858 @t65) @t101)) % 3.49/3.70 (define @t5898 () (@var "V_l_H_2" $$unsorted)) % 3.49/3.70 (define @t5899 () (tptp.hAPP @t5536 @t610)) % 3.49/3.70 (define @t5900 () (tptp.hAPP @t5536 @t349)) % 3.49/3.70 (define @t5901 () (= @t5900 @t5899)) % 3.49/3.70 (define @t5902 () (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5388 @t5387)) % 3.49/3.70 (define @t5903 () (tptp.c_List_Otake @t10)) % 3.49/3.70 (define @t5904 () (tptp.hAPP @t5903 @t1183)) % 3.49/3.70 (define @t5905 () (tptp.c_List_Otake @t66)) % 3.49/3.70 (define @t5906 () (tptp.hAPP @t5905 @t65)) % 3.49/3.70 (define @t5907 () (tptp.hAPP @t5906 @t5491)) % 3.49/3.70 (define @t5908 () (tptp.hAPP @t5846 @t5907)) % 3.49/3.70 (define @t5909 () (@list @t5501 @t5491 @t65 @t66)) % 3.49/3.70 (define @t5910 () (@list @t5510 @t314 @t5387 @t92 @t5388 @t10)) % 3.49/3.70 (define @t5911 () (@var "V_as_2" $$unsorted)) % 3.49/3.70 (define @t5912 () (@var "V_bs_2" $$unsorted)) % 3.49/3.70 (define @t5913 () (tptp.hAPP @t5903 @t19)) % 3.49/3.70 (define @t5914 () (tptp.hAPP @t5913 @t5388)) % 3.49/3.70 (define @t5915 () (@list @t5388 @t19 @t10)) % 3.49/3.70 (define @t5916 () (@list @t5501 @t5491 @t65 @t10 @t66)) % 3.49/3.70 (define @t5917 () (tptp.hAPP (tptp.hAPP @t5905 @t235) @t5491)) % 3.49/3.70 (define @t5918 () (@list @t5491 @t235 @t65 @t66)) % 3.49/3.70 (define @t5919 () (tptp.hAPP (tptp.hAPP @t5905 @t471) @t5491)) % 3.49/3.70 (define @t5920 () (tptp.hAPP @t5423 @t5914)) % 3.49/3.70 (define @t5921 () (@list @t5388 @t19 @t349 @t10)) % 3.49/3.70 (define @t5922 () (tptp.c_Map_Omap__upds @t10 @t92 @t2 @t5388 @t5387)) % 3.49/3.70 (define @t5923 () (@list @t5388 @t2 @t92 @t19 @t10)) % 3.49/3.70 (define @t5924 () (tptp.hAPP @t5905 @t67)) % 3.49/3.70 (define @t5925 () (@list @t5491 @t101 @t65 @t66)) % 3.49/3.70 (define @t5926 () (tptp.hAPP @t5628 @t5727)) % 3.49/3.70 (define @t5927 () (tptp.c_Map_Omap__upds @t10 @t92 (tptp.hAPP @t4051 @t3968) @t5388 @t5387)) % 3.49/3.70 (define @t5928 () (tptp.hAPP @t5423 (tptp.hAPP (tptp.hAPP @t5903 @t5569) @t5388))) % 3.49/3.70 (define @t5929 () (tptp.hBOOL (tptp.hAPP @t3580 @t5928))) % 3.49/3.70 (define @t5930 () (@list @t5387 @t5388 @t314 @t92 @t10)) % 3.49/3.70 (define @t5931 () (tptp.hBOOL (tptp.hAPP @t5630 @t65))) % 3.49/3.70 (define @t5932 () (@list @t65 @t5491 @t66)) % 3.49/3.70 (define @t5933 () (@list @t5491 @t65 @t66)) % 3.49/3.70 (define @t5934 () (tptp.hAPP @t387 @t21)) % 3.49/3.70 (define @t5935 () (tptp.c_Map_Omap__upds @t10 @t92 (tptp.hAPP @t3978 @t5934) @t5911 @t5912)) % 3.49/3.70 (define @t5936 () (tptp.c_COMBC tptp.tc_Nat_Onat @t4984 @t4984)) % 3.49/3.70 (define @t5937 () (@list @t5388 @t349 @t19 @t10)) % 3.49/3.70 (define @t5938 () (tptp.hAPP @t5905 @t1542)) % 3.49/3.70 (define @t5939 () (tptp.hAPP @t5938 @t5491)) % 3.49/3.70 (define @t5940 () (tptp.hAPP @t5906 @t5634)) % 3.49/3.70 (define @t5941 () (tptp.hAPP @t915 @t5557)) % 3.49/3.70 (define @t5942 () (tptp.hAPP @t5423 @t5911)) % 3.49/3.70 (define @t5943 () (tptp.hAPP (tptp.hAPP @t5905 @t1557) @t5634)) % 3.49/3.70 (define @t5944 () (tptp.hAPP @t5627 @t5788)) % 3.49/3.70 (define @t5945 () (tptp.hAPP @t5846 @t5919)) % 3.49/3.70 (define @t5946 () (@list @t5491 @t66 @t471)) % 3.49/3.70 (define @t5947 () (tptp.c_List_Olistrel1 @t10 @t1972)) % 3.49/3.70 (define @t5948 () (tptp.hBOOL (tptp.hAPP @t5565 @t5947))) % 3.49/3.70 (define @t5949 () (tptp.hAPP @t3765 @t402)) % 3.49/3.70 (define @t5950 () (tptp.c_Wellfounded_Oacc @t4984 @t5947)) % 3.49/3.70 (define @t5951 () (tptp.hAPP @t5667 @t5632)) % 3.49/3.70 (define @t5952 () (tptp.hAPP @t5667 @t5388)) % 3.49/3.70 (define @t5953 () (tptp.hBOOL (tptp.hAPP @t5952 @t5950))) % 3.49/3.70 (define @t5954 () (tptp.hAPP @t5619 @t5947)) % 3.49/3.70 (define @t5955 () (tptp.c_Transitive__Closure_Ortrancl @t4984 @t5947)) % 3.49/3.70 (define @t5956 () (tptp.hAPP (tptp.c_Relation_Oconverse @t4984 @t4984) @t5947)) % 3.49/3.70 (define @t5957 () (tptp.c_List_Olistrel1 @t10 @t5095)) % 3.49/3.70 (define @t5958 () (tptp.hAPP @t5564 (tptp.hAPP @t5660 (tptp.hAPP @t5631 @t5387)))) % 3.49/3.70 (define @t5959 () (@list @t349 @t1972 @t5387 @t5388 @t10)) % 3.49/3.70 (define @t5960 () (tptp.hBOOL (tptp.hAPP @t5565 @t5955))) % 3.49/3.70 (define @t5961 () (@var "V_vs_2" $$unsorted)) % 3.49/3.70 (define @t5962 () (@var "V_us_2" $$unsorted)) % 3.49/3.70 (define @t5963 () (tptp.hAPP @t5839 @t5962)) % 3.49/3.70 (define @t5964 () (@var "B_vs" $$unsorted)) % 3.49/3.70 (define @t5965 () (tptp.hAPP (tptp.c_COMBC @t4984 @t4984 @t4984) @t5839)) % 3.49/3.70 (define @t5966 () (tptp.c_COMBB @t4984 @t5668 @t10)) % 3.49/3.70 (define @t5967 () (tptp.c_List_Orotate1 @t10)) % 3.49/3.70 (define @t5968 () (tptp.hAPP @t5967 @t5388)) % 3.49/3.70 (define @t5969 () (tptp.c_List_Odrop @t66)) % 3.49/3.70 (define @t5970 () (tptp.hAPP (tptp.hAPP @t5969 @t472) @t5491)) % 3.49/3.70 (define @t5971 () (tptp.c_List_Odrop @t10)) % 3.49/3.70 (define @t5972 () (tptp.hAPP @t5971 @t19)) % 3.49/3.70 (define @t5973 () (tptp.hAPP @t5972 @t5388)) % 3.49/3.70 (define @t5974 () (tptp.hAPP @t5423 @t5973)) % 3.49/3.70 (define @t5975 () (tptp.hAPP @t5969 @t65)) % 3.49/3.70 (define @t5976 () (tptp.hAPP @t5975 @t5491)) % 3.49/3.70 (define @t5977 () (tptp.hAPP @t1397 @t5543)) % 3.49/3.70 (define @t5978 () (tptp.c_List_Orotate1 @t66)) % 3.49/3.70 (define @t5979 () (tptp.hAPP @t5978 @t5491)) % 3.49/3.70 (define @t5980 () (tptp.hAPP @t5969 @t67)) % 3.49/3.70 (define @t5981 () (tptp.hAPP (tptp.hAPP @t5969 @t471) @t5491)) % 3.49/3.70 (define @t5982 () (tptp.hAPP @t5969 @t235)) % 3.49/3.70 (define @t5983 () (tptp.hAPP @t5982 @t5491)) % 3.49/3.70 (define @t5984 () (tptp.hAPP @t5975 @t5634)) % 3.49/3.70 (define @t5985 () (tptp.hAPP @t301 @t471)) % 3.49/3.70 (define @t5986 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 3.49/3.70 (define @t5987 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 3.49/3.70 (define @t5988 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 3.49/3.70 (define @t5989 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 3.49/3.70 (define @t5990 () (tptp.hAPP @t5536 @t5989)) % 3.49/3.70 (define @t5991 () (tptp.hAPP @t5536 @t5988)) % 3.49/3.70 (define @t5992 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t5991) @t5990))) % 3.49/3.70 (define @t5993 () (tptp.hAPP @t5944 @t5970)) % 3.49/3.70 (define @t5994 () (tptp.hAPP @t5624 @t101)) % 3.49/3.70 (define @t5995 () (tptp.hAPP (tptp.hAPP @t5969 @t1557) @t5634)) % 3.49/3.70 (define @t5996 () (tptp.hBOOL (tptp.hAPP @t5630 @t773))) % 3.49/3.70 (define @t5997 () (@list @t5489 @t5501 @t5491 @t10 @t66)) % 3.49/3.70 (define @t5998 () (tptp.hAPP @t5924 @t5491)) % 3.49/3.70 (define @t5999 () (tptp.c_List_Ohd @t66)) % 3.49/3.70 (define @t6000 () (tptp.hAPP @t5999 @t5976)) % 3.49/3.70 (define @t6001 () (@list @t5491 @t66 @t65)) % 3.49/3.70 (define @t6002 () (= @t5491 @t5727)) % 3.49/3.70 (define @t6003 () (not @t6002)) % 3.49/3.70 (define @t6004 () (@list @t65 @t66 @t5491)) % 3.49/3.70 (define @t6005 () (tptp.c_List_Ohd @t10)) % 3.49/3.70 (define @t6006 () (tptp.hAPP @t6005 @t5388)) % 3.49/3.70 (define @t6007 () (@list @t2 @t92 @t10 @t5388)) % 3.49/3.70 (define @t6008 () (tptp.hAPP @t5999 @t5491)) % 3.49/3.70 (define @t6009 () (tptp.hAPP @t5999 @t5851)) % 3.49/3.70 (define @t6010 () (=> @t6003 (= @t6009 @t6008))) % 3.49/3.70 (define @t6011 () (@list @t5501 @t66 @t5491)) % 3.49/3.70 (define @t6012 () (@list @t66 @t5491)) % 3.49/3.70 (define @t6013 () (tptp.hAPP @t5627 @t6008)) % 3.49/3.70 (define @t6014 () (tptp.c_List_Otl @t66)) % 3.49/3.70 (define @t6015 () (tptp.hAPP @t6014 @t5491)) % 3.49/3.70 (define @t6016 () (tptp.hAPP @t5846 @t6015)) % 3.49/3.70 (define @t6017 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t65 @t5543)) % 3.49/3.70 (define @t6018 () (tptp.c_List_Orotate @t66 @t65)) % 3.49/3.70 (define @t6019 () (tptp.hAPP @t6018 @t5491)) % 3.49/3.70 (define @t6020 () (tptp.hAPP @t5975 @t6015)) % 3.49/3.70 (define @t6021 () (tptp.hAPP @t6014 @t5976)) % 3.49/3.70 (define @t6022 () (tptp.c_List_Orotate @t10 @t19)) % 3.49/3.70 (define @t6023 () (tptp.c_List_Otl @t10)) % 3.49/3.70 (define @t6024 () (tptp.hAPP @t6022 @t5388)) % 3.49/3.70 (define @t6025 () (tptp.hAPP @t5906 @t6015)) % 3.49/3.70 (define @t6026 () (tptp.hAPP @t5978 @t6019)) % 3.49/3.70 (define @t6027 () (= @t6019 @t5491)) % 3.49/3.70 (define @t6028 () (tptp.hAPP @t5977 @t773)) % 3.49/3.70 (define @t6029 () (tptp.c_List_Ofoldl @t10 @t92 @t2 @t168)) % 3.49/3.70 (define @t6030 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t287 @t168) @t5388)) % 3.49/3.70 (define @t6031 () (tptp.c_List_Ofoldl @t10 @t10 @t287 @t331)) % 3.49/3.70 (define @t6032 () (@list @t5510 @t610 @t349 @t10)) % 3.49/3.70 (define @t6033 () (tptp.hAPP @t6029 @t5388)) % 3.49/3.70 (define @t6034 () (tptp.c_List_Ofoldr @t10 @t10 @t287 @t5388 @t331)) % 3.49/3.70 (define @t6035 () (@list @t5388 @t168 @t10)) % 3.49/3.70 (define @t6036 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t2458 @t349) @t5388)) % 3.49/3.70 (define @t6037 () (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t2569 @t349) @t5388)) % 3.49/3.70 (define @t6038 () (@list @t2 @t5388 @t92 @t10)) % 3.49/3.70 (define @t6039 () (tptp.c_List_Olist_Olist__size @t10 @t2 @t5388)) % 3.49/3.70 (define @t6040 () (tptp.hAPP @t404 @t610)) % 3.49/3.70 (define @t6041 () (@list @t2 @t610 @t5388 @t349 @t10)) % 3.49/3.70 (define @t6042 () (tptp.tc_fun @t92 @t5349)) % 3.49/3.70 (define @t6043 () (tptp.tc_fun @t5354 @t6042)) % 3.49/3.70 (define @t6044 () (tptp.tc_fun @t10 @t6043)) % 3.49/3.70 (define @t6045 () (tptp.tc_fun @t10 @t6042)) % 3.49/3.70 (define @t6046 () (@list @t5388 @t2 @t10)) % 3.49/3.70 (define @t6047 () (tptp.c_List_Olists @t10 @t1261)) % 3.49/3.70 (define @t6048 () (tptp.hBOOL (tptp.hAPP @t5952 (tptp.c_List_Olists @t10 @t4647)))) % 3.49/3.70 (define @t6049 () (tptp.hBOOL (tptp.hAPP @t5952 @t6047))) % 3.49/3.70 (define @t6050 () (@list @t1261 @t5388 @t10)) % 3.49/3.70 (define @t6051 () (tptp.hAPP @t5624 @t402)) % 3.49/3.70 (define @t6052 () (tptp.c_List_Olast @t66 @t5491)) % 3.49/3.70 (define @t6053 () (tptp.hAPP @t5817 @t311)) % 3.49/3.70 (define @t6054 () (tptp.hAPP @t6053 @t101)) % 3.49/3.70 (define @t6055 () (tptp.c_List_Olast @t66 @t6054)) % 3.49/3.70 (define @t6056 () (= @t311 @t6028)) % 3.49/3.70 (define @t6057 () (not @t6056)) % 3.49/3.70 (define @t6058 () (tptp.c_List_Olast @t66 @t5851)) % 3.49/3.70 (define @t6059 () (= @t5501 @t5727)) % 3.49/3.70 (define @t6060 () (not @t6059)) % 3.49/3.70 (define @t6061 () (=> @t6060 (= @t6058 (tptp.c_List_Olast @t66 @t5501)))) % 3.49/3.70 (define @t6062 () (=> @t6059 (= @t6058 @t6052))) % 3.49/3.70 (define @t6063 () (@list @t5491 @t66 @t5501)) % 3.49/3.70 (define @t6064 () (tptp.c_List_Olast @t66 @t5634)) % 3.49/3.70 (define @t6065 () (=> @t6003 (= @t6064 @t6052))) % 3.49/3.70 (define @t6066 () (=> @t6002 (= @t6064 @t101))) % 3.49/3.70 (define @t6067 () (tptp.c_List_Olast @t10 @t5388)) % 3.49/3.70 (define @t6068 () (tptp.hAPP @t5847 @t5926)) % 3.49/3.70 (define @t6069 () (tptp.hAPP @t5562 @t610)) % 3.49/3.70 (define @t6070 () (@var "B_l" $$unsorted)) % 3.49/3.70 (define @t6071 () (tptp.hAPP @t5905 @t311)) % 3.49/3.70 (define @t6072 () (tptp.c_List_Obutlast @t66 @t5491)) % 3.49/3.70 (define @t6073 () (tptp.c_List_Obutlast @t10 @t5388)) % 3.49/3.70 (define @t6074 () (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 @t6073)))) % 3.49/3.70 (define @t6075 () (tptp.c_List_Obutlast @t66 @t5634)) % 3.49/3.70 (define @t6076 () (tptp.c_List_Obutlast @t66 @t5851)) % 3.49/3.70 (define @t6077 () (tptp.hAPP @t5975 @t6072)) % 3.49/3.70 (define @t6078 () (tptp.c_List_Obutlast @t66 @t5976)) % 3.49/3.70 (define @t6079 () (tptp.c_List_Obutlast @t10 @t5387)) % 3.49/3.70 (define @t6080 () (tptp.c_List_Obutlast @t66 @t6054)) % 3.49/3.70 (define @t6081 () (@var "V_xss_2" $$unsorted)) % 3.49/3.70 (define @t6082 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2133 @t5376)) % 3.49/3.70 (define @t6083 () (tptp.hAPP @t6082 @t2559)) % 3.49/3.70 (define @t6084 () (@var "V_no_2" $$unsorted)) % 3.49/3.70 (define @t6085 () (tptp.hAPP @t5423 @t6084)) % 3.49/3.70 (define @t6086 () (@var "V_yes_2" $$unsorted)) % 3.49/3.70 (define @t6087 () (tptp.hAPP @t5423 @t6086)) % 3.49/3.70 (define @t6088 () (tptp.c_List_Opartition @t10 @t55 @t5388)) % 3.49/3.70 (define @t6089 () (= @t6088 (tptp.hAPP (tptp.hAPP @t5562 @t6086) @t6084))) % 3.49/3.70 (define @t6090 () (@list @t6084 @t6086 @t5388 @t55 @t10)) % 3.49/3.70 (define @t6091 () (tptp.c_List_Ofilter @t10 @t55)) % 3.49/3.70 (define @t6092 () (tptp.hAPP @t6091 @t5388)) % 3.49/3.70 (define @t6093 () (tptp.hAPP @t5423 @t6092)) % 3.49/3.70 (define @t6094 () (@list @t5388 @t55 @t10)) % 3.49/3.70 (define @t6095 () (tptp.hAPP @t5536 @t6092)) % 3.49/3.70 (define @t6096 () (tptp.hAPP @t6091 @t5632)) % 3.49/3.70 (define @t6097 () (not @t2687)) % 3.49/3.70 (define @t6098 () (@list @t5388 @t10 @t349 @t55)) % 3.49/3.70 (define @t6099 () (tptp.c_List_Ofilter @t10 @t51)) % 3.49/3.70 (define @t6100 () (tptp.hAPP @t6099 @t5388)) % 3.49/3.70 (define @t6101 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t10 tptp.c_fNot)) % 3.49/3.70 (define @t6102 () (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t92 @t55) @t2)) % 3.49/3.70 (define @t6103 () (tptp.hAPP (tptp.c_List_Ofilter @t92 @t6102) @t5388)) % 3.49/3.70 (define @t6104 () (tptp.hAPP @t6091 @t5397)) % 3.49/3.70 (define @t6105 () (@list @t5388 @t2 @t92 @t55 @t10)) % 3.49/3.70 (define @t6106 () (@list @t610 @t5388 @t10)) % 3.49/3.70 (define @t6107 () (tptp.c_List_Osublist @t10 @t5388 @t18)) % 3.49/3.70 (define @t6108 () (tptp.tc_fun @t4987 @t4987)) % 3.49/3.70 (define @t6109 () (tptp.tc_fun @t4984 @t6108)) % 3.49/3.70 (define @t6110 () (tptp.c_List_Ofilter @t10 @t1553)) % 3.49/3.70 (define @t6111 () (@list @t5388 @t1553 @t10)) % 3.49/3.70 (define @t6112 () (tptp.c_List_Omap__filter @t92 @t10 @t2 @t5388)) % 3.49/3.70 (define @t6113 () (tptp.hAPP (tptp.hAPP @t5623 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t4984 tptp.tc_HOL_Obool) tptp.c_fequal) @t5717))) % 3.49/3.70 (define @t6114 () (tptp.c_List_Ofilter @t4984 @t6113)) % 3.49/3.70 (define @t6115 () (tptp.tc_List_Olist @t4984)) % 3.49/3.70 (define @t6116 () (tptp.c_Nat_Osize__class_Osize @t6115)) % 3.49/3.70 (define @t6117 () (tptp.c_List_Otranspose @t10 @t5388)) % 3.49/3.70 (define @t6118 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2133 @t4984) @t2559) @t5536)) % 3.49/3.70 (define @t6119 () (tptp.hAPP (tptp.c_List_Omap @t5376 @t4984) @t5395)) % 3.49/3.70 (define @t6120 () (tptp.hAPP @t6119 @t5388)) % 3.49/3.70 (define @t6121 () (tptp.c_List_Olist_ONil @t5541)) % 3.49/3.70 (define @t6122 () (= @t4 @t5717)) % 3.49/3.70 (define @t6123 () (tptp.c_List_Oset @t4984)) % 3.49/3.70 (define @t6124 () (tptp.hAPP @t6123 @t5388)) % 3.49/3.70 (define @t6125 () (tptp.hAPP @t5667 @t4)) % 3.49/3.70 (define @t6126 () (tptp.c_List_Olist_ONil @t4984)) % 3.49/3.70 (define @t6127 () (@var "V_xss" $$unsorted)) % 3.49/3.70 (define @t6128 () (tptp.c_List_Olist_OCons @t5541)) % 3.49/3.70 (define @t6129 () (@var "V_is_2" $$unsorted)) % 3.49/3.70 (define @t6130 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 3.49/3.70 (define @t6131 () (tptp.hAPP (tptp.c_List_Ozip @t10 tptp.tc_Nat_Onat) @t5388)) % 3.49/3.70 (define @t6132 () (tptp.c_Product__Type_Osnd @t10 tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t6133 () (tptp.tc_prod @t10 tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t6134 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t6133) @t55)) % 3.49/3.70 (define @t6135 () (tptp.hAPP (tptp.c_List_Omap @t6133 @t10) (tptp.c_Product__Type_Ofst @t10 tptp.tc_Nat_Onat))) % 3.49/3.70 (define @t6136 () (tptp.hAPP (tptp.c_List_Ofilter @t5691 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t10 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2309 tptp.tc_Code__Numeral_Ocode__numeral) @t4830) @t2557))) @t5388)) % 3.49/3.70 (define @t6137 () (tptp.c_List_Ofilter @t4984 (tptp.hAPP (tptp.hAPP @t5579 @t1488) @t5536))) % 3.49/3.70 (define @t6138 () (tptp.hAPP @t6137 @t5388)) % 3.49/3.70 (define @t6139 () (tptp.c_List_Omap @t4984 @t10)) % 3.49/3.70 (define @t6140 () (tptp.hAPP @t6139 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 tptp.tc_Nat_Onat @t10) @t5766) @t143))) % 3.49/3.70 (define @t6141 () (tptp.c_List_Onth @t4984)) % 3.49/3.70 (define @t6142 () (tptp.hAPP (tptp.hAPP @t6141 @t6117) @t143)) % 3.49/3.70 (define @t6143 () (tptp.hAPP @t6116 @t6117)) % 3.49/3.70 (define @t6144 () (tptp.hBOOL (tptp.hAPP @t1488 @t6143))) % 3.49/3.70 (define @t6145 () (tptp.tc_fun @t2655 @t2655)) % 3.49/3.70 (define @t6146 () (tptp.c_List_Ofilter @t92 @t55)) % 3.49/3.70 (define @t6147 () (tptp.hAPP @t6146 @t5388)) % 3.49/3.70 (define @t6148 () (tptp.hAPP @t5395 @t6147)) % 3.49/3.70 (define @t6149 () (tptp.c_List_Oremove1 @t10 @t168 @t5388)) % 3.49/3.70 (define @t6150 () (tptp.c_List_Olinorder__class_Osorted @t92 @t5391)) % 3.49/3.70 (define @t6151 () (tptp.c_List_Oupt @t199 @t5557)) % 3.49/3.70 (define @t6152 () (tptp.hAPP @t6131 @t6151)) % 3.49/3.70 (define @t6153 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4793 @t6133) @t2931)) % 3.49/3.70 (define @t6154 () (tptp.c_COMBC @t6133 @t2184 tptp.tc_HOL_Obool)) % 3.49/3.70 (define @t6155 () (tptp.c_List_Ofilter @t6133 (tptp.hAPP (tptp.hAPP @t6154 (tptp.hAPP @t6153 @t6132)) @t1261))) % 3.49/3.70 (define @t6156 () (tptp.hAPP @t1 @t5388)) % 3.49/3.70 (define @t6157 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5397)) % 3.49/3.70 (define @t6158 () (tptp.c_List_Oupt @t471 @t473)) % 3.49/3.70 (define @t6159 () (tptp.c_List_Olinorder__class_Osorted @t66 @t5491)) % 3.49/3.70 (define @t6160 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t6161 () (= @t6158 @t6160)) % 3.49/3.70 (define @t6162 () (tptp.c_List_Oupt @t143 @t1483)) % 3.49/3.70 (define @t6163 () (tptp.hAPP @t5646 @t5510)) % 3.49/3.70 (define @t6164 () (tptp.hAPP @t5648 @t5489)) % 3.49/3.70 (define @t6165 () (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) @t6158)) % 3.49/3.70 (define @t6166 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t6167 () (tptp.c_List_Oupt @t471 @t1521)) % 3.49/3.70 (define @t6168 () (=> @t925 (= @t6167 (tptp.hAPP @t6165 (tptp.hAPP (tptp.hAPP @t6166 @t473) @t6160))))) % 3.49/3.70 (define @t6169 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5388)) % 3.49/3.70 (define @t6170 () (tptp.c_List_Olinorder__class_Osorted @t10 @t5387)) % 3.49/3.70 (define @t6171 () (=> @t477 (= @t6158 (tptp.hAPP (tptp.hAPP @t6166 @t471) (tptp.c_List_Oupt @t472 @t473))))) % 3.49/3.70 (define @t6172 () (tptp.hAPP @t5723 @t6162)) % 3.49/3.70 (define @t6173 () (=> (= @t5424 @t5442) @t5389)) % 3.49/3.70 (define @t6174 () (tptp.c_List_Oupt @t314 @t19)) % 3.49/3.70 (define @t6175 () (tptp.hAPP @t1556 @t65)) % 3.49/3.70 (define @t6176 () (tptp.hAPP @t1556 @t235)) % 3.49/3.70 (define @t6177 () (tptp.c_List_Oupt @t6176 @t6175)) % 3.49/3.70 (define @t6178 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t6176) @t6175))) % 3.49/3.70 (define @t6179 () (@list @t349 @t5388 @t2 @t92 @t10)) % 3.49/3.70 (define @t6180 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t10)) % 3.49/3.70 (define @t6181 () (tptp.c_List_Oupt @t199 @t19)) % 3.49/3.70 (define @t6182 () (tptp.hAPP @t2816 (tptp.hAPP @t5723 @t6174))) % 3.49/3.70 (define @t6183 () (tptp.hAPP (tptp.hAPP @t6180 @t2) @t6174)) % 3.49/3.70 (define @t6184 () (tptp.hAPP @t5698 @t6183)) % 3.49/3.70 (define @t6185 () (tptp.hBOOL (tptp.hAPP @t474 @t5543))) % 3.49/3.70 (define @t6186 () (@list @t473 @t471 @t5491 @t66)) % 3.49/3.70 (define @t6187 () (tptp.hAPP @t6116 @t5388)) % 3.49/3.70 (define @t6188 () (tptp.hAPP @t6141 @t5388)) % 3.49/3.70 (define @t6189 () (= @t5388 @t6126)) % 3.49/3.70 (define @t6190 () (tptp.c_List_Olist_OCons @t4984)) % 3.49/3.70 (define @t6191 () (tptp.hAPP (tptp.hAPP @t6190 @t5717) @t6081)) % 3.49/3.70 (define @t6192 () (tptp.c_Wellfounded_Oaccp @t6115 (tptp.c_List_Otranspose__rel @t10))) % 3.49/3.70 (define @t6193 () (@list @t6081 @t10)) % 3.49/3.70 (define @t6194 () (tptp.hAPP @t6188 @t143)) % 3.49/3.70 (define @t6195 () (tptp.hAPP @t6137 @t6117)) % 3.49/3.70 (define @t6196 () (tptp.hBOOL (tptp.hAPP @t1488 @t6187))) % 3.49/3.70 (define @t6197 () (tptp.hAPP (tptp.c_List_Omap @t4984 tptp.tc_Nat_Onat) @t5536)) % 3.49/3.70 (define @t6198 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 3.49/3.70 (define @t6199 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6198 (tptp.hAPP @t6197 @t5388)))) % 3.49/3.70 (define @t6200 () (@list @t143 @t5388 @t10)) % 3.49/3.70 (define @t6201 () (tptp.hAPP @t6114 @t6081)) % 3.49/3.70 (define @t6202 () (tptp.c_List_Omap @t4984 @t4984)) % 3.49/3.70 (define @t6203 () (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t6202 (tptp.c_List_Olist_Olist__case @t4984 @t10 @t5717 (tptp.hAPP (tptp.hAPP @t5966 (tptp.c_COMBK @t4984 @t4984)) @t5748))) @t6081))) % 3.49/3.70 (define @t6204 () (tptp.c_List_Orev @t10)) % 3.49/3.70 (define @t6205 () (tptp.c_List_Oconcat @t10 @t5388)) % 3.49/3.70 (define @t6206 () (tptp.c_List_Oconcat @t10 @t6081)) % 3.49/3.70 (define @t6207 () (tptp.hAPP @t6204 @t5387)) % 3.49/3.70 (define @t6208 () (tptp.hAPP @t6204 @t5388)) % 3.49/3.70 (define @t6209 () (tptp.c_List_Orev @t66)) % 3.49/3.70 (define @t6210 () (tptp.hAPP @t6209 @t5491)) % 3.49/3.70 (define @t6211 () (tptp.c_List_Oconcat @t66 @t5491)) % 3.49/3.70 (define @t6212 () (= @t5388 @t5737)) % 3.49/3.70 (define @t6213 () (tptp.hAPP @t6123 @t6081)) % 3.49/3.70 (define @t6214 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6125 @t6213)) @t6122))) % 3.49/3.70 (define @t6215 () (tptp.hAPP (tptp.c_List_Orev @t92) @t5388)) % 3.49/3.70 (define @t6216 () (tptp.hAPP @t6204 @t5397)) % 3.49/3.70 (define @t6217 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4984 @t2309)) % 3.49/3.70 (define @t6218 () (tptp.hAPP @t5977 @t471)) % 3.49/3.70 (define @t6219 () (@list @t5491 @t471 @t66)) % 3.49/3.70 (define @t6220 () (tptp.c_List_Oconcat @t4984 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4984 @t6115) (tptp.c_List_Olist_Olist__case @t6115 @t10 @t6126 (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun @t4984 @t6115) @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t6115 @t6115) @t6190) @t6126)))) @t6081))) % 3.49/3.70 (define @t6221 () (tptp.hAPP (tptp.hAPP @t6190 @t5632) @t6081)) % 3.49/3.70 (define @t6222 () (= (tptp.c_List_Otranspose @t10 @t6221) (tptp.hAPP (tptp.hAPP @t6190 (tptp.hAPP @t5631 @t6203)) (tptp.c_List_Otranspose @t10 (tptp.hAPP (tptp.hAPP @t6190 @t5388) @t6220))))) % 3.49/3.70 (define @t6223 () (@list @t6081 @t5388 @t349 @t10)) % 3.49/3.70 (define @t6224 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 @t4) (tptp.hAPP (tptp.c_List_Oset @t4987) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t4984 @t4984) @t5388) @t5387)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5592 @t5583) @t4))))) % 3.49/3.70 (define @t6225 () (= @t6187 (tptp.hAPP @t6116 @t5387))) % 3.49/3.70 (define @t6226 () (= @t6205 (tptp.c_List_Oconcat @t10 @t5387))) % 3.49/3.70 (define @t6227 () (tptp.c_List_Ofoldr @t10 @t10 @t2569 @t5388 @t610)) % 3.49/3.70 (define @t6228 () (tptp.c_List_OtakeWhile @t10 @t55 @t5388)) % 3.49/3.70 (define @t6229 () (tptp.hAPP @t5536 @t6228)) % 3.49/3.70 (define @t6230 () (tptp.c_List_OtakeWhile @t10 @t55 @t5632)) % 3.49/3.70 (define @t6231 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 tptp.tc_HOL_Obool @t92) (tptp.hAPP @t434 @t62)) @t2)) % 3.49/3.70 (define @t6232 () (tptp.c_List_Oremdups @t66 @t5491)) % 3.49/3.70 (define @t6233 () (@var "T_1" $$unsorted)) % 3.49/3.70 (define @t6234 () (@var "T_2" $$unsorted)) % 3.49/3.70 (define @t6235 () (tptp.tc_fun @t6234 @t6233)) % 3.49/3.70 (define @t6236 () (tptp.class_Lattices_Obounded__lattice @t6233)) % 3.49/3.70 (define @t6237 () (@list @t6234 @t6233)) % 3.49/3.70 (define @t6238 () (tptp.class_Lattices_Olattice @t6233)) % 3.49/3.70 (define @t6239 () (tptp.class_Finite__Set_Ofinite @t6233)) % 3.49/3.70 (define @t6240 () (and (tptp.class_Finite__Set_Ofinite @t6234) @t6239)) % 3.49/3.70 (define @t6241 () (@list @t6233 @t6234)) % 3.49/3.70 (define @t6242 () (tptp.tc_prod @t6234 @t6233)) % 3.49/3.70 (define @t6243 () (@var "V_Q" $$unsorted)) % 3.49/3.70 (define @t6244 () (tptp.hAPP @t51 @t2412)) % 3.49/3.70 (define @t6245 () (tptp.hAPP @t55 @t2412)) % 3.49/3.70 (define @t6246 () (@list @t2412 @t51 @t55 @t10 @t530 @t92)) % 3.49/3.70 (define @t6247 () (tptp.hBOOL (tptp.hAPP @t2712 @t610))) % 3.49/3.70 (define @t6248 () (tptp.hBOOL @t55)) % 3.49/3.70 (define @t6249 () (not @t6248)) % 3.49/3.70 (define @t6250 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t55))) % 3.49/3.70 (define @t6251 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t55) @t51))) % 3.49/3.70 (define @t6252 () (tptp.hBOOL @t51)) % 3.49/3.70 (define @t6253 () (not @t6252)) % 3.49/3.70 (define @t6254 () (@list @t51 @t55)) % 3.49/3.70 (define @t6255 () (not @t6251)) % 3.49/3.70 (define @t6256 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t55) @t51))) % 3.49/3.70 (define @t6257 () (@list @t55 @t51)) % 3.49/3.70 (define @t6258 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t55) @t51))) % 3.49/3.70 (define @t6259 () (tptp.v_P @t50 @t49)) % 3.49/3.70 (define @t6260 () (tptp.v_P @t50 @t53)) % 3.49/3.70 (define @t6261 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) @t4) tptp.v_G))) % 3.49/3.70 (define @t6262 () (not (tptp.hBOOL (tptp.hAPP tptp.v_b @t49)))) % 3.49/3.70 (define @t6263 () (and @t6259 @t6262)) % 3.49/3.70 (define @t6264 () (@list @t50)) % 3.49/3.70 (define @t6265 () (forall @t6264 (=> @t6260 @t6263))) % 3.49/3.70 (define @t6266 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a tptp.v_n @t4)) % 3.49/3.70 (define @t6267 () (forall @t8 (=> @t6261 @t6266))) % 3.49/3.70 (define @t6268 () (=> @t6267 @t6265)) % 3.49/3.70 (define @t6269 () (tptp.c_Com_Ocom_OWhile tptp.v_b tptp.v_c)) % 3.49/3.70 (define @t6270 () (tptp.c_Natural_Oevaln @t6269 @t53 tptp.v_n @t49)) % 3.49/3.70 (define @t6271 () (=> @t6270 @t6268)) % 3.49/3.70 (define @t6272 () (@list @t53 @t49)) % 3.49/3.70 (define @t6273 () (forall @t6272 @t6271)) % 3.49/3.70 (define @t6274 () (forall @t54 (=> @t6270 @t6263))) % 3.49/3.70 (define @t6275 () (=> @t6260 @t6274)) % 3.49/3.70 (define @t6276 () (forall @t57 @t6275)) % 3.49/3.70 (define @t6277 () (=> @t6267 @t6276)) % 3.49/3.70 (define @t6278 () (not @t6277)) % 3.49/3.70 (define @t6279 () (@var "BOUND_VARIABLE_75305" $$unsorted)) % 3.49/3.70 (define @t6280 () (and (tptp.v_P @t50 @t6279) (not (tptp.hBOOL (tptp.hAPP tptp.v_b @t6279))))) % 3.49/3.70 (define @t6281 () (not (tptp.c_Natural_Oevaln @t6269 @t53 tptp.v_n @t6279))) % 3.49/3.70 (define @t6282 () (not @t6260)) % 3.49/3.70 (define @t6283 () (or @t6282 @t6281 @t6280)) % 3.49/3.70 (define @t6284 () (or @t6281 @t6280)) % 3.49/3.70 (define @t6285 () (or @t6282 @t6284)) % 3.49/3.70 (define @t6286 () (@list @t50 @t53 @t6279)) % 3.49/3.70 (define @t6287 () (forall @t6286 @t6285)) % 3.49/3.70 (define @t6288 () (@list @t6279)) % 3.49/3.70 (define @t6289 () (forall @t6288 @t6285)) % 3.49/3.70 (define @t6290 () (forall @t6288 @t6284)) % 3.49/3.70 (define @t6291 () (or @t6282 @t6290)) % 3.49/3.70 (define @t6292 () (not @t6270)) % 3.49/3.70 (define @t6293 () (forall @t54 (or @t6292 @t6263))) % 3.49/3.70 (define @t6294 () (@var "BOUND_VARIABLE_75285" $$unsorted)) % 3.49/3.70 (define @t6295 () (and (tptp.v_P @t6294 @t49) @t6262)) % 3.49/3.70 (define @t6296 () (not (tptp.v_P @t6294 @t53))) % 3.49/3.70 (define @t6297 () (or @t6292 @t6296 @t6295)) % 3.49/3.70 (define @t6298 () (or @t6296 @t6295)) % 3.49/3.70 (define @t6299 () (or @t6292 @t6298)) % 3.49/3.70 (define @t6300 () (@list @t53 @t49 @t6294)) % 3.49/3.70 (define @t6301 () (forall @t6300 @t6299)) % 3.49/3.70 (define @t6302 () (@list @t6294)) % 3.49/3.70 (define @t6303 () (forall @t6302 @t6299)) % 3.49/3.70 (define @t6304 () (forall @t6302 @t6298)) % 3.49/3.70 (define @t6305 () (or @t6292 @t6304)) % 3.49/3.70 (define @t6306 () (forall @t6264 (or @t6282 @t6263))) % 3.49/3.70 (define @t6307 () (or @t6292 @t6306)) % 3.49/3.70 (define @t6308 () (forall @t6272 @t6307)) % 3.49/3.70 (define @t6309 () (forall @t8 (or (not @t6261) @t6266))) % 3.49/3.70 (define @t6310 () (not @t6309)) % 3.49/3.70 (define @t6311 () (or @t6310 @t6308)) % 3.49/3.70 (define @t6312 () (or @t6310 @t6307)) % 3.49/3.70 (define @t6313 () (or @t6292 @t6310 @t6306)) % 3.49/3.70 (define @t6314 () (=> @t6309 @t6306)) % 3.49/3.70 (define @t6315 () (forall @t6300 @t6297)) % 3.49/3.70 (define @t6316 () (@list false)) % 3.49/3.70 (define @t6317 () (or @t6281 @t6282 @t6280)) % 3.49/3.70 (define @t6318 () (forall @t6286 @t6283)) % 3.49/3.70 (define @t6319 () (forall @t6286 @t6317)) % 3.49/3.70 (define @t6320 () (@var "BOUND_VARIABLE_135017" $$unsorted)) % 3.49/3.70 (define @t6321 () (@var "BOUND_VARIABLE_135018" $$unsorted)) % 3.49/3.70 (define @t6322 () (@var "BOUND_VARIABLE_135016" $$unsorted)) % 3.49/3.70 (define @t6323 () (@list @t6322 @t6320 @t6321)) % 3.49/3.71 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 3.49/3.71 (assume @p2 (forall (@list @t12 @t16 @t10) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t10 @t16 @t12) (forall @t17 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t14 @t16)) @t11)) (forall @t8 (=> @t15 @t11))))))) % 3.49/3.71 (assume @p3 (forall (@list @t19 @t20 @t18 @t21) (=> @t24 (tptp.c_Natural_Oevaln @t22 @t18 @t19 @t18)))) % 3.49/3.71 (assume @p4 (forall (@list @t25 @t27 @t19 @t20 @t26 @t21) (=> @t28 (=> (tptp.c_Natural_Oevaln @t20 @t26 @t19 @t27) (=> (tptp.c_Natural_Oevaln @t22 @t27 @t19 @t25) (tptp.c_Natural_Oevaln @t22 @t26 @t19 @t25)))))) % 3.49/3.71 (assume @p5 (forall (@list @t30 @t29 @t32 @t33) (= (tptp.c_Natural_Oevaln @t34 @t29 @t30 @t29) (=> @t37 (exists @t36 (and @t35 (tptp.c_Natural_Oevaln @t34 @t31 @t30 @t29))))))) % 3.49/3.71 (assume @p6 (forall (@list @t38 @t30 @t29 @t32 @t33) (= (tptp.c_Natural_Oevaln @t34 @t29 @t30 @t38) (or (and (= @t38 @t29) @t39) (and @t37 (exists @t36 (and @t35 (tptp.c_Natural_Oevaln @t34 @t31 @t30 @t38)))))))) % 3.49/3.71 (assume @p7 (forall (@list @t40 @t43 @t41 @t44) (= (= @t47 @t46) (and @t45 @t42)))) % 3.49/3.71 (assume @p8 (forall (@list @t19 @t12 @t10) (=> (forall @t8 (=> @t15 (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t48 @t4))) (forall @t8 (=> @t15 (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t19 @t4)))))) % 3.49/3.71 (assume @p9 (forall (@list @t51 @t20 @t55 @t19 @t10) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t19 @t61) (forall @t57 (=> @t56 (forall @t54 (=> (tptp.c_Natural_Oevaln @t20 @t53 @t19 @t49) (tptp.hBOOL (tptp.hAPP @t52 @t49))))))))) % 3.49/3.71 (assume @p10 (forall (@list @t62 @t19 @t18 @t20 @t21) (=> (tptp.c_Natural_Oevaln @t22 @t18 @t19 @t62) (=> @t63 (not (=> @t23 (forall @t36 (=> (tptp.c_Natural_Oevaln @t20 @t18 @t19 @t31) (not (tptp.c_Natural_Oevaln @t22 @t31 @t19 @t62)))))))))) % 3.49/3.71 (assume @p11 (forall (@list @t64 @t65 @t66) (=> (tptp.c_Hoare__Mirabelle_Otriple__valid @t66 @t67 @t64) (tptp.c_Hoare__Mirabelle_Otriple__valid @t66 @t65 @t64)))) % 3.49/3.71 (assume @p12 (forall @t77 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t47) @t69))) % 3.49/3.71 (assume @p13 (forall (@list @t65 @t78) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t78 @t65 @t78))) % 3.49/3.71 (assume @p14 (forall (@list @t64 @t65 @t78) (=> (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t78 @t65 @t64) @t79))) % 3.49/3.71 (assume @p15 (forall (@list @t80 @t40 @t82 @t81 @t41 @t83 @t10) (= (= @t84 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t82) @t40) @t80)) (and (= @t83 @t82) @t42 (= @t81 @t80))))) % 3.49/3.71 (assume @p16 (forall @t85 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 tptp.c_Com_Ocom_OSKIP) @t76))) % 3.49/3.71 (assume @p17 (forall (@list @t86 @t65 @t78 @t87) (=> (tptp.c_Natural_Oevaln @t87 @t78 @t65 @t86) (tptp.c_Natural_Oevaln @t87 @t78 @t67 @t86)))) % 3.49/3.71 (assume @p18 (forall (@list @t89 @t88) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t88 @t89 @t88))) % 3.49/3.71 (assume @p19 (forall @t90 (not (= @t46 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p20 (forall @t90 (not (= tptp.c_Com_Ocom_OSKIP @t46)))) % 3.49/3.71 (assume @p21 (forall @t95 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t92 @t10 @t76 @t94) @t91))) % 3.49/3.71 (assume @p22 (forall @t95 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t92 @t10 @t76 @t94) @t91))) % 3.49/3.71 (assume @p23 (forall @t96 (not (= @t65 @t67)))) % 3.49/3.71 (assume @p24 (forall @t96 (not (= @t67 @t65)))) % 3.49/3.71 (assume @p25 (forall (@list @t97 @t98) (= (= @t99 (tptp.hAPP tptp.c_Nat_OSuc @t97)) (= @t98 @t97)))) % 3.49/3.71 (assume @p26 (forall @t103 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t101) (tptp.hAPP tptp.c_Nat_OSuc @t100)) @t102))) % 3.49/3.71 (assume @p27 (forall (@list @t104 @t106 @t109 @t65 @t105 @t107) (=> (tptp.c_Natural_Oevaln @t107 @t105 @t65 @t109) (=> (tptp.c_Natural_Oevaln @t106 @t109 @t65 @t104) (tptp.c_Natural_Oevaln @t108 @t105 @t65 @t104))))) % 3.49/3.71 (assume @p28 (forall @t85 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 tptp.c_Com_Ocom_OSKIP) @t76))) % 3.49/3.71 (assume @p29 (forall @t114 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t113) @t112))) % 3.49/3.71 (assume @p30 (forall @t77 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t47) (tptp.hAPP @t69 @t115)))) % 3.49/3.71 (assume @p31 (forall (@list @t62 @t19 @t18 @t116 @t117 @t21) (=> (tptp.c_Natural_Oevaln @t118 @t18 @t19 @t62) (=> (=> @t23 (not (tptp.c_Natural_Oevaln @t117 @t18 @t19 @t62))) (not (=> @t24 (not (tptp.c_Natural_Oevaln @t116 @t18 @t19 @t62)))))))) % 3.49/3.71 (assume @p32 (forall (@list @t119 @t27 @t19 @t117 @t18 @t21) (=> @t24 (=> (tptp.c_Natural_Oevaln @t117 @t18 @t19 @t27) @t121)))) % 3.49/3.71 (assume @p33 (forall (@list @t117 @t27 @t19 @t119 @t18 @t21) (=> @t23 (=> (tptp.c_Natural_Oevaln @t119 @t18 @t19 @t27) @t121)))) % 3.49/3.71 (assume @p34 (forall (@list @t122 @t123 @t43 @t110 @t111) (not (= @t113 @t124)))) % 3.49/3.71 (assume @p35 (forall (@list @t110 @t111 @t122 @t123 @t43) (not (= @t124 @t113)))) % 3.49/3.71 (assume @p36 (forall (@list @t122 @t123 @t110 @t111) (= (= @t113 @t127) (and @t126 @t125)))) % 3.49/3.71 (assume @p37 (forall (@list @t122 @t123 @t43 @t110 @t111 @t44) (= (= @t128 @t124) (and @t45 @t126 @t125)))) % 3.49/3.71 (assume @p38 (forall @t114 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t113) (tptp.hAPP (tptp.hAPP @t112 @t130) @t129)))) % 3.49/3.71 (assume @p39 (forall @t132 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t128) (tptp.hAPP (tptp.hAPP @t131 @t130) @t129)))) % 3.49/3.71 (assume @p40 (forall (@list @t133 @t30 @t29 @t38 @t32 @t33) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t33 @t32 @t38) @t29 @t30 @t133) (or (and @t37 @t135) (and @t39 @t134))))) % 3.49/3.71 (assume @p41 (forall (@list @t133 @t30 @t29 @t32 @t38 @t33) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t33 @t38 @t32) @t29 @t30 @t133) (or (and @t37 @t134) (and @t39 @t135))))) % 3.49/3.71 (assume @p42 (forall (@list @t110 @t111 @t44 @t40 @t43) (not (= @t46 @t128)))) % 3.49/3.71 (assume @p43 (forall (@list @t40 @t43 @t110 @t111 @t44) (not (= @t128 @t46)))) % 3.49/3.71 (assume @p44 (forall (@list @t38 @t32 @t29 @t133 @t33) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi @t33 @t133) @t29 @t32 @t38) (exists @t36 (and (tptp.c_Natural_Oevaln @t33 @t29 @t32 @t31) (tptp.c_Natural_Oevaln @t133 @t31 @t32 @t38)))))) % 3.49/3.71 (assume @p45 (forall @t136 (not (= @t124 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p46 (forall @t136 (not (= tptp.c_Com_Ocom_OSKIP @t124)))) % 3.49/3.71 (assume @p47 (forall (@list @t40 @t43 @t110 @t111) (not (= @t113 @t46)))) % 3.49/3.71 (assume @p48 (forall (@list @t110 @t111 @t40 @t43) (not (= @t46 @t113)))) % 3.49/3.71 (assume @p49 (forall @t140 (not (= @t139 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p50 (forall @t140 (not (= tptp.c_Com_Ocom_OSKIP @t139)))) % 3.49/3.71 (assume @p51 (forall @t132 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t128) @t131))) % 3.49/3.71 (assume @p52 (forall (@list @t64 @t65 @t78 @t141 @t106) (=> (tptp.c_Natural_Oevaln @t142 @t78 @t65 @t64) (not (forall @t36 (=> (tptp.c_Natural_Oevaln @t106 @t78 @t65 @t31) (not (tptp.c_Natural_Oevaln @t141 @t31 @t65 @t64)))))))) % 3.49/3.71 (assume @p53 (forall (@list @t143 @t19 @t144 @t10) (=> @t145 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t144 @t48 @t143) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t144 @t19 (tptp.hAPP @t144 @t143)))))) % 3.49/3.71 (assume @p54 (forall @t147 (= (tptp.c_Nat_Onat_Onat__case @t10 @t76 @t75 @t99) @t146))) % 3.49/3.71 (assume @p55 (forall @t147 (= (tptp.hAPP @t148 @t99) (tptp.hAPP @t146 (tptp.hAPP @t148 @t98))))) % 3.49/3.71 (assume @p56 (forall (@list @t141 @t106) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t142)) (not (=> @t149 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t141)))))))) % 3.49/3.71 (assume @p57 (forall @t153 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t152) @t151))) % 3.49/3.71 (assume @p58 (forall @t158 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t157) @t156))) % 3.49/3.71 (assume @p59 (forall (@list @t116 @t117 @t21) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t118)) (not (=> @t159 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t116)))))))) % 3.49/3.71 (assume @p60 (forall @t162 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t161) @t160))) % 3.49/3.71 (assume @p61 (forall (@list @t20 @t21) (=> @t164 @t163))) % 3.49/3.71 (assume @p62 (forall @t167 (= (tptp.c_Com_Ocom_Ocom__case @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t166) @t165))) % 3.49/3.71 (assume @p63 (forall (@list @t20 @t168 @t169) (=> @t170 @t163))) % 3.49/3.71 (assume @p64 (forall (@list @t168 @t55 @t171) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t171 @t55 @t168))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t55)))))) % 3.49/3.71 (assume @p65 (forall (@list @t168 @t171 @t172) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t173)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t171 @t172 @t168)))))) % 3.49/3.71 (assume @p66 (forall (@list @t168 @t169 @t20) (=> @t163 @t170))) % 3.49/3.71 (assume @p67 (forall (@list @t40 @t43 @t174 @t41 @t44 @t150) (= (= @t152 @t175) (and (= @t150 @t174) @t45 @t42)))) % 3.49/3.71 (assume @p68 (forall (@list @t43 @t176 @t178 @t44 @t154 @t155) (= (= @t157 @t180) (and @t179 @t177 @t45)))) % 3.49/3.71 (assume @p69 (forall (@list @t43 @t178 @t44 @t155) (= (= @t161 @t181) (and @t179 @t45)))) % 3.49/3.71 (assume @p70 (forall (@list @t176 @t154) (= (= @t166 @t182) @t177))) % 3.49/3.71 (assume @p71 (forall (@list @t32 @t33 @t29) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t29 @t33 @t32))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t183))))) % 3.49/3.71 (assume @p72 (forall (@list @t33 @t32 @t29) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t29 @t32 @t33))) @t184))) % 3.49/3.71 (assume @p73 (forall @t186 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t185)))) % 3.49/3.71 (assume @p74 (forall (@list @t43 @t176 @t178 @t41 @t44 @t150) (not (= @t152 @t180)))) % 3.49/3.71 (assume @p75 (forall (@list @t41 @t44 @t150 @t43 @t176 @t178) (not (= @t180 @t152)))) % 3.49/3.71 (assume @p76 (forall (@list @t44 @t155 @t40 @t43 @t174) (not (= @t175 @t161)))) % 3.49/3.71 (assume @p77 (forall (@list @t44 @t155 @t43 @t176 @t178) (not (= @t180 @t161)))) % 3.49/3.71 (assume @p78 (forall (@list @t176 @t41 @t44 @t150) (not (= @t152 @t182)))) % 3.49/3.71 (assume @p79 (forall (@list @t154 @t43 @t176 @t178) (not (= @t180 @t166)))) % 3.49/3.71 (assume @p80 (forall (@list @t40 @t43 @t174 @t44 @t155) (not (= @t161 @t175)))) % 3.49/3.71 (assume @p81 (forall (@list @t43 @t176 @t178 @t44 @t155) (not (= @t161 @t180)))) % 3.49/3.71 (assume @p82 (forall (@list @t176 @t44 @t155) (not (= @t161 @t182)))) % 3.49/3.71 (assume @p83 (forall (@list @t41 @t44 @t150 @t176) (not (= @t182 @t152)))) % 3.49/3.71 (assume @p84 (forall (@list @t43 @t176 @t178 @t154) (not (= @t166 @t180)))) % 3.49/3.71 (assume @p85 (forall (@list @t44 @t155 @t176) (not (= @t182 @t161)))) % 3.49/3.71 (assume @p86 (forall (@list @t168 @t171) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t187)))) % 3.49/3.71 (assume @p87 (forall (@list @t176 @t41 @t44) (not (= @t47 @t182)))) % 3.49/3.71 (assume @p88 (forall (@list @t41 @t44 @t176) (not (= @t182 @t47)))) % 3.49/3.71 (assume @p89 (forall (@list @t176 @t110 @t111 @t44) (not (= @t128 @t182)))) % 3.49/3.71 (assume @p90 (forall (@list @t110 @t111 @t44 @t176) (not (= @t182 @t128)))) % 3.49/3.71 (assume @p91 (forall (@list @t188 @t190 @t191) (not (= @t192 @t189)))) % 3.49/3.71 (assume @p92 (forall (@list @t190 @t191 @t188) (not (= @t189 @t192)))) % 3.49/3.71 (assume @p93 (forall @t193 (not (= tptp.c_Com_Ocom_OSKIP @t189)))) % 3.49/3.71 (assume @p94 (forall @t193 (not (= @t189 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p95 (forall (@list @t21 @t20) (=> @t163 @t164))) % 3.49/3.71 (assume @p96 (forall (@list @t33 @t29) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OWhile @t29 @t33))) @t184))) % 3.49/3.71 (assume @p97 (forall (@list @t21 @t117 @t119) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t119)) (=> @t159 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t120)))))) % 3.49/3.71 (assume @p98 (forall (@list @t29 @t33 @t32) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t32 @t33 @t29))) @t194))) % 3.49/3.71 (assume @p99 (forall (@list @t106 @t107) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t107)) (=> @t149 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t108)))))) % 3.49/3.71 (assume @p100 (forall @t186 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t33 @t29))) @t194))) % 3.49/3.71 (assume @p101 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))) % 3.49/3.71 (assume @p102 (forall (@list @t44 @t155 @t40 @t43) (not (= @t46 @t161)))) % 3.49/3.71 (assume @p103 (forall (@list @t40 @t43 @t44 @t155) (not (= @t161 @t46)))) % 3.49/3.71 (assume @p104 (forall (@list @t40 @t43 @t41 @t44 @t150) (not (= @t152 @t46)))) % 3.49/3.71 (assume @p105 (forall (@list @t41 @t44 @t43 @t176 @t178) (not (= @t180 @t47)))) % 3.49/3.71 (assume @p106 (forall (@list @t41 @t44 @t150 @t40 @t43) (not (= @t46 @t152)))) % 3.49/3.71 (assume @p107 (forall (@list @t43 @t176 @t178 @t41 @t44) (not (= @t47 @t180)))) % 3.49/3.71 (assume @p108 (forall (@list @t44 @t155 @t122 @t123 @t43) (not (= @t124 @t161)))) % 3.49/3.71 (assume @p109 (forall (@list @t122 @t123 @t43 @t44 @t155) (not (= @t161 @t124)))) % 3.49/3.71 (assume @p110 (forall (@list @t122 @t123 @t43 @t41 @t44 @t150) (not (= @t152 @t124)))) % 3.49/3.71 (assume @p111 (forall (@list @t41 @t44 @t150 @t122 @t123 @t43) (not (= @t124 @t152)))) % 3.49/3.71 (assume @p112 (forall (@list @t43 @t176 @t178 @t110 @t111 @t44) (not (= @t128 @t180)))) % 3.49/3.71 (assume @p113 (forall (@list @t110 @t111 @t44 @t43 @t176 @t178) (not (= @t180 @t128)))) % 3.49/3.71 (assume @p114 (forall (@list @t44 @t155 @t122 @t123) (not (= @t127 @t161)))) % 3.49/3.71 (assume @p115 (forall (@list @t122 @t123 @t44 @t155) (not (= @t161 @t127)))) % 3.49/3.71 (assume @p116 (forall @t195 (not (= tptp.c_Com_Ocom_OSKIP @t181)))) % 3.49/3.71 (assume @p117 (forall @t195 (not (= @t181 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p118 (forall (@list @t122 @t123 @t41 @t44 @t150) (not (= @t152 @t127)))) % 3.49/3.71 (assume @p119 (forall (@list @t110 @t111 @t43 @t176 @t178) (not (= @t180 @t113)))) % 3.49/3.71 (assume @p120 (forall (@list @t41 @t44 @t150 @t122 @t123) (not (= @t127 @t152)))) % 3.49/3.71 (assume @p121 (forall (@list @t43 @t176 @t178 @t110 @t111) (not (= @t113 @t180)))) % 3.49/3.71 (assume @p122 (forall @t196 (not (= tptp.c_Com_Ocom_OSKIP @t180)))) % 3.49/3.71 (assume @p123 (forall @t197 (not (= tptp.c_Com_Ocom_OSKIP @t175)))) % 3.49/3.71 (assume @p124 (forall @t196 (not (= @t180 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p125 (forall @t197 (not (= @t175 tptp.c_Com_Ocom_OSKIP)))) % 3.49/3.71 (assume @p126 (forall @t167 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t166) @t165))) % 3.49/3.71 (assume @p127 (forall @t162 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t161) @t160))) % 3.49/3.71 (assume @p128 (forall @t153 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t152) (tptp.hAPP @t151 @t115)))) % 3.49/3.71 (assume @p129 (forall @t158 (= (tptp.c_Com_Ocom_Ocom__rec @t10 @t76 @t75 @t74 @t73 @t72 @t68 @t71 @t70 @t157) @t156))) % 3.49/3.71 (assume @p130 (forall (@list @t51 @t172 @t55 @t10) (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t199 @t198))) % 3.49/3.71 (assume @p131 (forall (@list @t62 @t19 @t18 @t168 @t171) (=> (tptp.c_Natural_Oevaln @t187 @t18 @t19 @t62) @t201))) % 3.49/3.71 (assume @p132 (forall (@list @t19 @t18 @t168 @t171) (tptp.c_Natural_Oevaln @t187 @t18 @t19 @t200))) % 3.49/3.71 (assume @p133 (forall (@list @t51 @t172 @t55 @t19 @t10) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t19 @t203) (tptp.c_Hoare__Mirabelle_Otriple__valid @t10 @t48 @t198)))) % 3.49/3.71 (assume @p134 (forall (@list @t19 @t205 @t20 @t10 @t2) (=> @t208 (= @t206 (tptp.hAPP (tptp.hAPP @t205 @t19) @t204))))) % 3.49/3.71 (assume @p135 (forall @t210 (tptp.c_Natural_Oevaln @t185 @t32 @t30 @t209))) % 3.49/3.71 (assume @p136 (forall (@list @t109 @t65 @t105 @t211) (=> (tptp.c_Natural_Oevaln @t214 @t105 @t65 @t109) (tptp.c_Natural_Oevaln @t212 @t105 @t67 @t109)))) % 3.49/3.71 (assume @p137 (forall @t210 (= (tptp.c_Natural_Oevaln @t183 @t29 (tptp.hAPP tptp.c_Nat_OSuc @t32) @t30) (tptp.c_Natural_Oevaln @t215 @t29 @t32 @t30)))) % 3.49/3.71 (assume @p138 (forall (@list @t143 @t144 @t10) (=> @t145 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 @t144 @t199 @t143) @t143)))) % 3.49/3.71 (assume @p139 (forall @t216 (= (tptp.hAPP @t148 @t199) @t76))) % 3.49/3.71 (assume @p140 (forall (@list @t78) (tptp.hBOOL (tptp.hAPP @t218 @t78)))) % 3.49/3.71 (assume @p141 (forall @t219 (=> (tptp.hBOOL (tptp.hAPP @t218 @t64)) @t79))) % 3.49/3.71 (assume @p142 (forall (@list @t20 @t18 @t21) (=> @t24 (tptp.hBOOL (tptp.hAPP @t221 @t18))))) % 3.49/3.71 (assume @p143 (forall (@list @t25 @t27 @t20 @t26 @t21) (=> @t28 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t222 @t26) @t27)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t27) @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t26) @t25))))))) % 3.49/3.71 (assume @p144 (forall (@list @t119 @t27 @t117 @t18 @t21) (=> @t24 (=> (tptp.hBOOL (tptp.hAPP @t224 @t27)) @t223)))) % 3.49/3.71 (assume @p145 (forall (@list @t117 @t27 @t119 @t18 @t21) (=> @t23 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t119) @t18) @t27)) @t223)))) % 3.49/3.71 (assume @p146 (forall (@list @t62 @t18 @t116 @t117 @t21) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t118) @t18) @t62)) (=> (=> @t23 (not (tptp.hBOOL (tptp.hAPP @t224 @t62)))) (not (=> @t24 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t116) @t18) @t62))))))))) % 3.49/3.71 (assume @p147 (forall (@list @t104 @t106 @t109 @t105 @t107) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t107) @t105) @t109)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t225 @t109) @t104)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t108) @t105) @t104)))))) % 3.49/3.71 (assume @p148 (forall (@list @t18 @t168 @t171) (tptp.hBOOL (tptp.hAPP @t226 @t200)))) % 3.49/3.71 (assume @p149 (forall (@list @t62 @t18 @t168 @t171) (=> (tptp.hBOOL (tptp.hAPP @t226 @t62)) @t201))) % 3.49/3.71 (assume @p150 (forall (@list @t109 @t78 @t227) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t230) @t78) @t109)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t229) @t78) @t109))))) % 3.49/3.71 (assume @p151 (forall (@list @t109 @t105 @t211) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t214) @t105) @t109)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t212) @t105) @t109))))) % 3.49/3.71 (assume @p152 (forall (@list @t231 @t64 @t78 @t87) (=> @t233 (=> (tptp.hBOOL (tptp.hAPP @t232 @t231)) (= @t231 @t64))))) % 3.49/3.71 (assume @p153 (forall @t234 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t183) @t29) @t32)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t215) @t29) @t32))))) % 3.49/3.71 (assume @p154 (forall @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t185) @t32) @t209)))) % 3.49/3.71 (assume @p155 (forall @t237 (not (= @t236 @t199)))) % 3.49/3.71 (assume @p156 (forall @t237 (not (= @t199 @t236)))) % 3.49/3.71 (assume @p157 (forall (@list @t238) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t238) @t199)))) % 3.49/3.71 (assume @p158 (forall (@list @t239) (not (= @t199 (tptp.hAPP tptp.c_Nat_OSuc @t239))))) % 3.49/3.71 (assume @p159 (forall (@list @t62 @t18 @t20) (= (tptp.hBOOL (tptp.hAPP @t240 @t62)) (exists @t17 (tptp.c_Natural_Oevaln @t20 @t18 @t9 @t62))))) % 3.49/3.71 (assume @p160 (forall (@list @t64 @t65 @t78 @t87) (=> @t241 @t233))) % 3.49/3.71 (assume @p161 (forall (@list @t29 @t32 @t33) (= (tptp.hBOOL (tptp.hAPP @t246 @t29)) (=> @t37 (exists @t36 (and @t245 (tptp.hBOOL (tptp.hAPP @t243 @t29)))))))) % 3.49/3.71 (assume @p162 (forall (@list @t133 @t29 @t32 @t33) (= (tptp.hBOOL (tptp.hAPP @t246 @t133)) (or (and (= @t133 @t29) @t39) (and @t37 (exists @t36 (and @t245 (tptp.hBOOL (tptp.hAPP @t243 @t133))))))))) % 3.49/3.71 (assume @p163 (forall (@list @t30 @t29 @t133 @t32 @t33) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t33 @t32 @t133)) @t29) @t30)) (or (and @t37 @t248) (and @t39 @t247))))) % 3.49/3.71 (assume @p164 (forall (@list @t30 @t29 @t32 @t133 @t33) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t33 @t133 @t32)) @t29) @t30)) (or (and @t37 @t247) (and @t39 @t248))))) % 3.49/3.71 (assume @p165 (forall (@list @t133 @t29 @t30 @t33) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi @t33 @t30)) @t29) @t133)) (exists @t36 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t33) @t29) @t31)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t30) @t31) @t133))))))) % 3.49/3.71 (assume @p166 (forall @t250 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t217 @t249) @t249)))) % 3.49/3.71 (assume @p167 (forall @t216 (= (tptp.c_Nat_Onat_Onat__case @t10 @t76 @t75 @t199) @t76))) % 3.49/3.71 (assume @p168 (forall (@list @t81 @t41 @t83 @t251 @t10) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t10 @t251 @t84) @t199))) % 3.49/3.71 (assume @p169 (forall (@list @t81 @t41 @t83 @t10) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t13) @t84) @t199))) % 3.49/3.71 (assume @p170 (forall (@list @t109 @t65 @t78 @t227) (=> (tptp.c_Natural_Oevaln @t230 @t78 @t65 @t109) (not (forall @t17 (=> (= @t65 @t252) (not (tptp.c_Natural_Oevaln @t229 @t78 @t9 @t109)))))))) % 3.49/3.71 (assume @p171 (forall (@list @t64 @t78 @t141 @t106) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t142) @t78) @t64)) (not (forall @t36 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t225 @t78) @t31)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t141) @t31) @t64))))))))) % 3.49/3.71 (assume @p172 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t199)) % 3.49/3.71 (assume @p173 (forall @t253 (= (tptp.c_Com_Ocom_Ocom__size @t157) @t199))) % 3.49/3.71 (assume @p174 (forall @t254 (= (tptp.c_Com_Ocom_Ocom__size @t161) @t199))) % 3.49/3.71 (assume @p175 (forall @t257 (= (tptp.c_Com_Ocom_Ocom__size @t256) @t199))) % 3.49/3.71 (assume @p176 (= (tptp.hAPP @t258 tptp.c_Com_Ocom_OSKIP) @t199)) % 3.49/3.71 (assume @p177 (forall @t253 (= (tptp.hAPP @t258 @t157) @t199))) % 3.49/3.71 (assume @p178 (forall @t254 (= (tptp.hAPP @t258 @t161) @t199))) % 3.49/3.71 (assume @p179 (forall @t257 (= (tptp.hAPP @t258 @t256) @t199))) % 3.49/3.71 (assume @p180 (forall @t262 (= (tptp.hAPP @t258 @t152) @t261))) % 3.49/3.71 (assume @p181 (forall @t263 (= (tptp.hAPP @t258 @t192) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t258 @t191)) (tptp.hAPP @t258 @t190))) @t259)))) % 3.49/3.71 (assume @p182 (forall @t262 (= (tptp.c_Com_Ocom_Ocom__size @t152) @t264))) % 3.49/3.71 (assume @p183 (forall @t263 (= (tptp.c_Com_Ocom_Ocom__size @t192) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Com_Ocom_Ocom__size @t191)) (tptp.c_Com_Ocom_Ocom__size @t190))) @t259)))) % 3.49/3.71 (assume @p184 (forall @t265 (= (tptp.hAPP @t258 @t128) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t258 @t111)) (tptp.hAPP @t258 @t110))) @t259)))) % 3.49/3.71 (assume @p185 (forall @t265 (= (tptp.c_Com_Ocom_Ocom__size @t128) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Com_Ocom_Ocom__size @t111)) (tptp.c_Com_Ocom_Ocom__size @t110))) @t259)))) % 3.49/3.71 (assume @p186 (forall @t266 (= (tptp.hAPP @t258 @t47) @t261))) % 3.49/3.71 (assume @p187 (forall @t266 (= (tptp.c_Com_Ocom_Ocom__size @t47) @t264))) % 3.49/3.71 (assume @p188 (forall (@list @t211) (=> (not (= @t213 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t212))))) % 3.49/3.71 (assume @p189 (forall @t271 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t168))) (exists @t270 (= (tptp.hAPP tptp.c_Com_Obody @t168) @t269))))) % 3.49/3.71 (assume @p190 (forall @t280 (=> @t279 (=> (= @t278 @t276) @t273)))) % 3.49/3.71 (assume @p191 (forall @t285 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t66) @t284))) % 3.49/3.71 (assume @p192 (forall @t285 (=> @t279 @t284))) % 3.49/3.71 (assume @p193 (forall (@list @t20 @t168 @t21 @t10) (=> @t292 (= (= @t291 @t289) @t286)))) % 3.49/3.71 (assume @p194 (forall @t296 (=> @t292 (= (= @t295 @t294) @t286)))) % 3.49/3.71 (assume @p195 (forall @t285 (=> (tptp.class_Groups_Oab__semigroup__add @t66) @t300))) % 3.49/3.71 (assume @p196 (forall @t305 (= @t304 @t302))) % 3.49/3.71 (assume @p197 (forall @t310 (= (tptp.hAPP @t307 @t309) (tptp.hAPP @t308 (tptp.hAPP @t307 @t306))))) % 3.49/3.71 (assume @p198 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t260 @t304) @t311) (tptp.hAPP @t303 @t312)))) % 3.49/3.71 (assume @p199 (forall @t320 (= (= @t319 @t318) @t315))) % 3.49/3.71 (assume @p200 (forall @t325 (= (= @t324 @t322) @t315))) % 3.49/3.71 (assume @p201 (forall @t329 (=> @t328 @t327))) % 3.49/3.71 (assume @p202 (forall @t329 (=> @t330 @t327))) % 3.49/3.71 (assume @p203 (forall @t335 (=> @t334 (= (= @t331 @t333) @t332)))) % 3.49/3.71 (assume @p204 (forall @t329 (=> @t328 @t337))) % 3.49/3.71 (assume @p205 (forall @t329 (=> @t330 @t337))) % 3.49/3.71 (assume @p206 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t260 @t199) @t65) @t65))) % 3.49/3.71 (assume @p207 (forall @t237 (= (tptp.hAPP @t303 @t199) @t235))) % 3.49/3.71 (assume @p208 (forall @t341 (= (= @t340 @t199) (and @t339 @t338)))) % 3.49/3.71 (assume @p209 (forall @t305 (=> (= @t304 @t235) @t342))) % 3.49/3.71 (assume @p210 (forall @t305 (= @t344 @t343))) % 3.49/3.71 (assume @p211 (forall @t305 (= @t344 @t345))) % 3.49/3.71 (assume @p212 (forall @t305 (= @t343 @t345))) % 3.49/3.71 (assume @p213 (forall @t341 (= (= @t259 @t340) @t348))) % 3.49/3.71 (assume @p214 (forall @t341 (= (= @t340 @t259) @t348))) % 3.49/3.71 (assume @p215 (forall @t351 (=> (tptp.class_Groups_Ozero @t10) (= (= @t331 @t349) @t350)))) % 3.49/3.71 (assume @p216 (forall (@list @t272 @t211) (=> tptp.c_Com_OWT__bodies (=> (= @t213 (tptp.hAPP @t268 @t272)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t272)))))) % 3.49/3.71 (assume @p217 (forall (@list @t227) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t230)) (not (forall @t270 (not (= @t228 @t269))))))) % 3.49/3.71 (assume @p218 (forall @t353 (= (tptp.hAPP (tptp.c_Option_Othe @t66) (tptp.hAPP @t352 @t101)) @t101))) % 3.49/3.71 (assume @p219 (forall @t358 (= (not @t357) (exists @t270 @t355)))) % 3.49/3.71 (assume @p220 (forall @t358 (= (forall @t270 (not @t355)) @t357))) % 3.49/3.71 (assume @p221 (forall @t362 (not (= @t361 @t359)))) % 3.49/3.71 (assume @p222 (forall @t362 (not (= @t359 @t361)))) % 3.49/3.71 (assume @p223 (forall (@list @t168 @t251 @t10) (= (tptp.c_Option_Ooption_Ooption__size @t10 @t251 @t365) @t364))) % 3.49/3.71 (assume @p224 (forall @t335 (=> @t334 @t366))) % 3.49/3.71 (assume @p225 (forall @t368 (=> @t367 (= (= @t21 @t291) @t332)))) % 3.49/3.71 (assume @p226 (forall @t329 (=> @t369 @t327))) % 3.49/3.71 (assume @p227 (forall (@list @t87 @t249 @t66) (=> @t369 (= @t282 @t276)))) % 3.49/3.71 (assume @p228 (forall @t373 (=> @t369 (= @t372 (tptp.hAPP @t275 (tptp.hAPP @t281 @t370)))))) % 3.49/3.71 (assume @p229 (forall @t373 (=> @t369 (= @t372 (tptp.hAPP @t374 @t370))))) % 3.49/3.71 (assume @p230 (forall @t285 (=> @t369 @t300))) % 3.49/3.71 (assume @p231 (forall @t285 (=> @t369 (= @t299 (tptp.hAPP @t374 @t272))))) % 3.49/3.71 (assume @p232 (forall @t376 (=> @t369 (= (tptp.hAPP @t298 @t371) (tptp.hAPP @t374 @t375))))) % 3.49/3.71 (assume @p233 (forall @t377 (= (tptp.c_Option_Ooption_Ooption__size @t10 @t251 @t356) @t199))) % 3.49/3.71 (assume @p234 (forall (@list @t378 @t168 @t10) (= (= @t365 (tptp.hAPP @t354 @t378)) @t379))) % 3.49/3.71 (assume @p235 (forall @t329 (=> @t369 @t337))) % 3.49/3.71 (assume @p236 (forall @t382 (= (tptp.c_Nat_Onat_Onat__size @t381) (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Nat_Onat_Onat__size @t380)) @t259)))) % 3.49/3.71 (assume @p237 (forall @t382 (= (tptp.hAPP @t383 @t381) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t383 @t380)) @t259)))) % 3.49/3.71 (assume @p238 (forall @t329 (= (tptp.hAPP @t384 (tptp.hAPP @t352 @t249)) @t199))) % 3.49/3.71 (assume @p239 (forall @t385 (= (tptp.hAPP @t384 @t359) @t199))) % 3.49/3.71 (assume @p240 (forall @t389 (= (tptp.c_Option_Ooption_Ooption__rec @t10 @t92 @t76 @t75 @t388) @t386))) % 3.49/3.71 (assume @p241 (forall @t389 (= (tptp.hAPP @t390 @t388) @t386))) % 3.49/3.71 (assume @p242 (forall @t392 (= (tptp.c_Option_Ooption_Ooption__rec @t10 @t92 @t76 @t75 @t391) @t76))) % 3.49/3.71 (assume @p243 (forall @t392 (= (tptp.hAPP @t390 @t391) @t76))) % 3.49/3.71 (assume @p244 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t199)) % 3.49/3.71 (assume @p245 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t199)) % 3.49/3.71 (assume @p246 (forall (@list @t101 @t10) (not (tptp.c_Option_Ois__none @t10 (tptp.hAPP @t354 @t101))))) % 3.49/3.71 (assume @p247 (forall @t96 (= (tptp.hAPP @t383 @t65) @t65))) % 3.49/3.71 (assume @p248 (= (tptp.hAPP @t383 @t199) @t199)) % 3.49/3.71 (assume @p249 (= (tptp.c_Nat_Onat_Onat__size @t199) @t199)) % 3.49/3.71 (assume @p250 (forall @t351 (= (tptp.c_Option_Ois__none @t10 @t349) @t357))) % 3.49/3.71 (assume @p251 (forall @t385 (tptp.c_Option_Ois__none @t66 @t359))) % 3.49/3.71 (assume @p252 (= (tptp.hAPP @t393 tptp.c_fFalse) @t199)) % 3.49/3.71 (assume @p253 (= (tptp.hAPP @t393 tptp.c_fTrue) @t199)) % 3.49/3.71 (assume @p254 (forall (@list @t205 @t20 @t10 @t2) (=> @t208 (= @t394 @t20)))) % 3.49/3.71 (assume @p255 (forall (@list @t62 @t18 @t20 @t21) (=> (tptp.hBOOL (tptp.hAPP @t221 @t62)) (=> @t63 (not (=> @t23 (forall @t36 (=> (tptp.hBOOL (tptp.hAPP @t240 @t31)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t220 @t31) @t62))))))))))) % 3.49/3.71 (assume @p256 (forall (@list @t21 @t168 @t395 @t251 @t92 @t10) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t10 @t92 @t251 @t395 @t397) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t363 @t396)) @t259)))) % 3.49/3.71 (assume @p257 (forall (@list @t64 @t78 @t87) (=> @t233 (exists @t17 (tptp.c_Natural_Oevaln @t87 @t78 @t9 @t64))))) % 3.49/3.71 (assume @p258 (forall (@list @t168 @t395 @t251 @t92 @t10) (= (tptp.c_Sum__Type_Osum_Osum__size @t10 @t92 @t251 @t395 @t399) @t364))) % 3.49/3.71 (assume @p259 (forall (@list @t21 @t395 @t251 @t92 @t10) (= (tptp.c_Sum__Type_Osum_Osum__size @t10 @t92 @t251 @t395 @t401) (tptp.hAPP (tptp.hAPP @t260 @t396) @t259)))) % 3.49/3.71 (assume @p260 (forall (@list @t66 @t100) (=> (not (= @t100 @t359)) (not (forall @t403 (not (= @t100 (tptp.hAPP @t352 @t402)))))))) % 3.49/3.71 (assume @p261 (forall @t96 (tptp.hBOOL (tptp.hAPP @t405 @t67)))) % 3.49/3.71 (assume @p262 (forall @t96 (=> @t410 @t409))) % 3.49/3.71 (assume @p263 (forall @t96 (not (tptp.hBOOL (tptp.hAPP @t411 @t199))))) % 3.49/3.71 (assume @p264 (forall @t96 (tptp.hBOOL (tptp.hAPP @t411 @t67)))) % 3.49/3.71 (assume @p265 (forall @t305 (=> @t415 @t413))) % 3.49/3.71 (assume @p266 (forall (@list @t55 @t19 @t314) (=> (=> @t421 @t417) (=> (=> @t315 @t417) (=> (=> @t419 @t417) @t417))))) % 3.49/3.71 (assume @p267 (forall @t219 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t78) @t64)) (not (= @t78 @t64))))) % 3.49/3.71 (assume @p268 (forall @t425 (=> @t424 @t423))) % 3.49/3.71 (assume @p269 (forall @t96 (not (tptp.hBOOL (tptp.hAPP @t411 @t65))))) % 3.49/3.71 (assume @p270 (forall @t103 (=> @t428 (=> (not @t427) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t100) @t101)))))) % 3.49/3.71 (assume @p271 (forall @t341 (= @t429 (or @t421 @t419)))) % 3.49/3.71 (assume @p272 (forall @t433 (= (= @t397 (tptp.c_Nitpick_Opair__box_OPairBox @t10 @t92 @t378 @t430)) @t432))) % 3.49/3.71 (assume @p273 (forall @t439 (=> @t438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t294) @t437)) @t436)))) % 3.49/3.71 (assume @p274 (forall @t441 (=> @t438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t289) @t440)) @t436)))) % 3.49/3.71 (assume @p275 (forall @t285 (=> @t447 (=> @t446 @t444)))) % 3.49/3.71 (assume @p276 (forall @t285 (=> @t447 (=> @t446 @t449)))) % 3.49/3.71 (assume @p277 (forall @t376 (=> @t447 (=> @t446 @t453)))) % 3.49/3.71 (assume @p278 (forall @t455 (=> @t454 (=> @t444 @t446)))) % 3.49/3.71 (assume @p279 (forall @t456 (=> @t454 (=> @t449 @t446)))) % 3.49/3.71 (assume @p280 (forall @t96 (=> @t410 @t457))) % 3.49/3.71 (assume @p281 (forall @t305 (=> @t415 @t410))) % 3.49/3.71 (assume @p282 (forall @t460 (= @t459 @t458))) % 3.49/3.71 (assume @p283 (forall @t341 (= (not @t421) @t462))) % 3.49/3.71 (assume @p284 (forall @t341 (= @t464 @t463))) % 3.49/3.71 (assume @p285 (forall @t341 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t461) @t48)) @t421))) % 3.49/3.71 (assume @p286 (forall @t468 (=> @t467 @t466))) % 3.49/3.71 (assume @p287 (forall @t425 (=> (not @t424) (=> (tptp.hBOOL (tptp.hAPP @t411 @t236)) @t422)))) % 3.49/3.71 (assume @p288 (forall @t305 (=> @t415 @t469))) % 3.49/3.71 (assume @p289 (forall @t305 (=> @t415 (=> (not (= @t236 @t65)) @t470)))) % 3.49/3.71 (assume @p290 (forall @t478 (=> @t477 (=> @t475 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t472) @t311)))))) % 3.49/3.71 (assume @p291 (forall @t305 (=> @t469 (=> @t479 @t422)))) % 3.49/3.71 (assume @p292 (forall @t305 (=> @t470 @t415))) % 3.49/3.71 (assume @p293 (forall @t305 (=> @t413 @t415))) % 3.49/3.71 (assume @p294 (forall @t478 (=> (tptp.hBOOL (tptp.hAPP @t482 @t311)) (tptp.hBOOL (tptp.hAPP @t476 @t311))))) % 3.49/3.71 (assume @p295 (forall (@list @t65 @t235 @t485 @t311) (=> @t487 (=> (= (tptp.hAPP @t303 @t485) @t484) @t415)))) % 3.49/3.71 (assume @p296 (forall @t492 (=> @t477 (=> @t487 (tptp.hBOOL (tptp.hAPP @t491 @t489)))))) % 3.49/3.71 (assume @p297 (forall @t478 (=> @t477 (tptp.hBOOL (tptp.hAPP @t491 @t493))))) % 3.49/3.71 (assume @p298 (forall @t495 (=> @t477 (tptp.hBOOL (tptp.hAPP @t476 @t494))))) % 3.49/3.71 (assume @p299 (forall @t495 (=> @t477 (tptp.hBOOL (tptp.hAPP @t476 @t496))))) % 3.49/3.71 (assume @p300 (forall @t320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t319) @t318)) @t421))) % 3.49/3.71 (assume @p301 (forall @t498 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t497) @t471))))) % 3.49/3.71 (assume @p302 (forall @t499 (not (tptp.hBOOL (tptp.hAPP @t482 @t471))))) % 3.49/3.71 (assume @p303 (forall @t335 (=> @t502 @t501))) % 3.49/3.71 (assume @p304 (forall @t509 (=> @t508 (=> @t507 @t506)))) % 3.49/3.71 (assume @p305 (forall @t509 (=> @t508 (=> @t514 @t513)))) % 3.49/3.71 (assume @p306 (forall @t335 (=> @t334 @t501))) % 3.49/3.71 (assume @p307 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP @t515 @t333)) @t516)))) % 3.49/3.71 (assume @p308 (forall @t341 (= @t464 (or @t339 (exists @t519 (and (= @t314 (tptp.hAPP tptp.c_Nat_OSuc @t517)) (tptp.hBOOL (tptp.hAPP @t518 @t19)))))))) % 3.49/3.71 (assume @p309 (forall @t460 (= (tptp.hBOOL (tptp.hAPP @t418 @t259)) @t338))) % 3.49/3.71 (assume @p310 (forall @t460 (= @t458 (exists @t408 @t520)))) % 3.49/3.71 (assume @p311 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t405 @t340)) (or @t521 @t458)))) % 3.49/3.71 (assume @p312 (forall @t341 (= @t421 (exists @t524 (= @t19 (tptp.hAPP tptp.c_Nat_OSuc @t523)))))) % 3.49/3.71 (assume @p313 (forall @t525 (tptp.hBOOL (tptp.hAPP @t476 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t303 @t471)))))) % 3.49/3.71 (assume @p314 (forall @t525 (tptp.hBOOL (tptp.hAPP @t476 (tptp.hAPP tptp.c_Nat_OSuc @t526))))) % 3.49/3.71 (assume @p315 (forall @t527 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t66 @t10)) (tptp.c_Nitpick_Opair__box_OPairBox @t66 @t10 @t249 @t272)) @t199))) % 3.49/3.71 (assume @p316 (forall @t532 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t92 @t530 @t10 @t76 @t531) @t529))) % 3.49/3.71 (assume @p317 (forall @t532 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t92 @t530 @t10 @t76 @t531) @t529))) % 3.49/3.71 (assume @p318 (forall @t285 (=> @t536 (=> @t514 @t535)))) % 3.49/3.71 (assume @p319 (forall @t527 (not (= @t540 @t538)))) % 3.49/3.71 (assume @p320 (forall (@list @t541 @t249 @t10 @t66) (not (= @t540 (tptp.hAPP @t537 @t541))))) % 3.49/3.71 (assume @p321 (forall (@list @t249 @t272 @t66 @t10) (not (= @t538 @t540)))) % 3.49/3.71 (assume @p322 (forall (@list @t542 @t545 @t544 @t543) (not (= (tptp.hAPP (tptp.c_Sum__Type_OInr @t543 @t544) @t545) (tptp.hAPP (tptp.c_Sum__Type_OInl @t544 @t543) @t542))))) % 3.49/3.71 (assume @p323 (forall (@list @t249 @t10 @t66) (= (tptp.hAPP @t546 @t540) @t199))) % 3.49/3.71 (assume @p324 (forall (@list @t272 @t10 @t66) (= (tptp.hAPP @t546 @t538) @t199))) % 3.49/3.71 (assume @p325 (forall @t310 (=> @t427 @t547))) % 3.49/3.71 (assume @p326 (forall @t555 (=> @t554 @t553))) % 3.49/3.71 (assume @p327 (forall (@list @t100 @t101 @t66 @t10) (=> (= @t556 (tptp.hAPP @t537 @t100)) @t102))) % 3.49/3.71 (assume @p328 (forall (@list @t430 @t21 @t10 @t92) (= (= @t401 (tptp.hAPP @t400 @t430)) @t431))) % 3.49/3.71 (assume @p329 (forall (@list @t100 @t101 @t10 @t66) (=> (= @t557 (tptp.hAPP @t539 @t100)) @t102))) % 3.49/3.71 (assume @p330 (forall (@list @t378 @t168 @t92 @t10) (= (= @t399 (tptp.hAPP @t398 @t378)) @t379))) % 3.49/3.71 (assume @p331 (forall @t558 (=> (tptp.hBOOL (tptp.hAPP @t426 @t306)) @t547))) % 3.49/3.71 (assume @p332 (forall @t559 (= (tptp.c_Sum__Type_OProjl @t66 @t10 @t557) @t101))) % 3.49/3.71 (assume @p333 (forall @t559 (= (tptp.c_Sum__Type_OProjr @t66 @t10 @t556) @t101))) % 3.49/3.71 (assume @p334 (forall @t562 (= (tptp.c_Sum__Type_Osum_Osum__rec @t92 @t10 @t530 @t76 @t75 @t561) @t528))) % 3.49/3.71 (assume @p335 (forall @t565 (= (tptp.c_Sum__Type_Osum_Osum__rec @t92 @t10 @t530 @t76 @t75 @t564) @t563))) % 3.49/3.71 (assume @p336 (forall @t567 (= (tptp.hAPP (tptp.c_Sum__Type_OSuml @t92 @t10 @t530 @t2) (tptp.hAPP @t560 @t349)) @t566))) % 3.49/3.71 (assume @p337 (forall @t567 (= (tptp.hAPP (tptp.c_Sum__Type_OSumr @t92 @t10 @t530 @t2) (tptp.hAPP (tptp.c_Sum__Type_OInr @t92 @t530) @t349)) @t566))) % 3.49/3.71 (assume @p338 (forall @t571 (=> @t570 (= (tptp.hBOOL (tptp.hAPP @t515 @t569)) @t458)))) % 3.49/3.71 (assume @p339 (forall @t305 (=> @t415 (exists @t524 (= @t65 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t303 @t522))))))) % 3.49/3.71 (assume @p340 (forall @t499 (=> @t477 (exists @t524 (and (tptp.hBOOL (tptp.hAPP @t405 @t522)) (= (tptp.hAPP @t480 @t522) @t473)))))) % 3.49/3.71 (assume @p341 (forall @t96 (=> @t457 @t409))) % 3.49/3.71 (assume @p342 (forall @t574 (=> @t573 (= (= @t572 @t569) @t315)))) % 3.49/3.71 (assume @p343 (forall (@list @t1 @t2 @t92 @t530 @t10) (=> (= (tptp.c_Sum__Type_OSuml @t10 @t530 @t92 @t2) (tptp.c_Sum__Type_OSuml @t10 @t530 @t92 @t1)) @t3))) % 3.49/3.71 (assume @p344 (forall (@list @t1 @t2 @t10 @t530 @t92) (=> (= (tptp.c_Sum__Type_OSumr @t92 @t530 @t10 @t2) (tptp.c_Sum__Type_OSumr @t92 @t530 @t10 @t1)) @t3))) % 3.49/3.71 (assume @p345 (forall @t460 (= (= @t577 @t575) @t338))) % 3.49/3.71 (assume @p346 (= @t578 @t575)) % 3.49/3.71 (assume @p347 (forall @t587 (= @t586 (exists @t17 (= @t583 (tptp.hAPP @t582 @t579)))))) % 3.49/3.71 (assume @p348 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t589 @t577)) @t421))) % 3.49/3.71 (assume @p349 (forall (@list @t306 @t65 @t235) (= (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t581 @t591) @t306)) (tptp.hAPP (tptp.hAPP @t581 @t590) @t306)))) % 3.49/3.71 (assume @p350 (forall @t305 (= (tptp.hAPP @t593 @t591) @t590))) % 3.49/3.71 (assume @p351 (forall @t460 (= (tptp.hBOOL (tptp.hAPP @t594 @t577)) @t458))) % 3.49/3.71 (assume @p352 (forall @t598 (=> @t536 (not (tptp.hBOOL (tptp.hAPP @t597 @t326)))))) % 3.49/3.71 (assume @p353 (forall @t385 (=> @t599 (= (tptp.hAPP @t595 @t199) @t326)))) % 3.49/3.71 (assume @p354 (forall @t602 (=> @t536 (=> @t601 @t415)))) % 3.49/3.71 (assume @p355 (forall @t602 (=> @t536 (=> @t415 @t601)))) % 3.49/3.71 (assume @p356 (forall @t574 (=> @t570 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t572) @t569)) @t421)))) % 3.49/3.71 (assume @p357 (forall @t602 (=> @t599 (= (tptp.hAPP @t595 @t304) (tptp.hAPP (tptp.hAPP @t274 @t596) @t600))))) % 3.49/3.71 (assume @p358 (forall (@list @t314 @t19 @t2 @t10) (=> @t606 (=> @t605 (= (tptp.hBOOL (tptp.hAPP @t604 @t603)) @t419))))) % 3.49/3.71 (assume @p359 (forall (@list @t607 @t19 @t2 @t10) (=> @t606 (=> @t605 (=> (tptp.hBOOL (tptp.hAPP @t418 @t607)) (tptp.hBOOL (tptp.hAPP @t604 (tptp.hAPP @t2 @t607)))))))) % 3.49/3.71 (assume @p360 (forall @t103 (= (tptp.hAPP (tptp.hAPP @t581 @t609) @t608) (tptp.hAPP @t576 (tptp.hAPP @t307 @t100))))) % 3.49/3.71 (assume @p361 (forall @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t613) @t612)) @t611))) % 3.49/3.71 (assume @p362 (= @t575 @t578)) % 3.49/3.71 (assume @p363 (forall @t353 (=> @t615 (not (tptp.hBOOL (tptp.hAPP @t550 @t101)))))) % 3.49/3.71 (assume @p364 (forall @t623 (=> @t622 (= @t621 (or @t619 @t617))))) % 3.49/3.71 (assume @p365 (forall @t623 (=> @t622 (= @t624 (or @t617 @t620))))) % 3.49/3.71 (assume @p366 (forall @t555 (=> @t625 (or @t551 @t102 @t549)))) % 3.49/3.71 (assume @p367 (forall @t627 (=> @t622 (=> (not @t617) @t626)))) % 3.49/3.71 (assume @p368 (forall @t629 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t628) @t575))))) % 3.49/3.71 (assume @p369 (forall @t614 (= (= @t613 @t612) @t620))) % 3.49/3.71 (assume @p370 (forall @t341 (= (= @t588 @t577) @t315))) % 3.49/3.71 (assume @p371 (forall @t635 (= (tptp.hAPP (tptp.hAPP @t581 @t634) @t630) (tptp.hAPP @t633 (tptp.hAPP (tptp.hAPP @t581 @t631) @t630))))) % 3.49/3.71 (assume @p372 (forall @t310 (= (tptp.hAPP @t636 (tptp.hAPP @t637 @t306)) (tptp.hAPP @t637 (tptp.hAPP @t636 @t306))))) % 3.49/3.71 (assume @p373 (forall @t643 (= @t642 @t640))) % 3.49/3.71 (assume @p374 (forall @t644 (= (tptp.hAPP (tptp.hAPP @t581 @t575) @t306) @t306))) % 3.49/3.71 (assume @p375 (forall @t644 (= (tptp.hAPP @t641 @t575) @t306))) % 3.49/3.71 (assume @p376 (forall @t478 (=> @t647 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP @t645 @t311)) (tptp.hAPP (tptp.hAPP @t581 @t473) @t311)))))) % 3.49/3.71 (assume @p377 (forall @t103 (or (tptp.hBOOL (tptp.hAPP @t649 @t100)) @t102 (tptp.hBOOL (tptp.hAPP @t648 @t101))))) % 3.49/3.71 (assume @p378 (forall @t555 (=> @t625 (=> @t552 (=> @t428 @t549))))) % 3.49/3.71 (assume @p379 (forall @t555 (=> @t615 (=> @t551 (not @t549))))) % 3.49/3.71 (assume @p380 (forall @t654 (=> @t653 (=> @t549 @t652)))) % 3.49/3.71 (assume @p381 (forall @t657 (=> @t615 (=> @t551 @t656)))) % 3.49/3.71 (assume @p382 (forall @t280 (=> @t653 (=> @t659 (=> @t273 @t658))))) % 3.49/3.71 (assume @p383 (forall @t285 (=> @t661 (=> @t446 (=> @t273 @t660))))) % 3.49/3.71 (assume @p384 (forall @t285 (=> @t653 (=> @t662 (=> (tptp.hBOOL (tptp.hAPP @t451 @t272)) @t658))))) % 3.49/3.71 (assume @p385 (forall @t285 (=> @t661 (=> @t662 (=> @t534 @t660))))) % 3.49/3.71 (assume @p386 (forall @t663 (=> @t653 (=> @t659 (not @t446))))) % 3.49/3.71 (assume @p387 (forall @t509 (=> @t615 (=> @t446 (not @t659))))) % 3.49/3.71 (assume @p388 (forall @t555 (=> @t653 (=> @t551 @t664)))) % 3.49/3.71 (assume @p389 (forall @t555 (=> @t653 (=> @t551 @t428)))) % 3.49/3.71 (assume @p390 (forall @t555 (=> @t625 @t553))) % 3.49/3.71 (assume @p391 (forall @t629 (=> @t667 (exists @t17 (and @t666 (= @t311 @t665)))))) % 3.49/3.71 (assume @p392 (forall @t671 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t515 @t670)) @t668)))) % 3.49/3.71 (assume @p393 (forall @t671 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t670) @t331)) @t673)))) % 3.49/3.71 (assume @p394 (forall @t478 (=> @t647 (=> @t676 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP @t675 @t471)) (tptp.hAPP @t675 @t473))))))) % 3.49/3.71 (assume @p395 (forall @t96 (tptp.hBOOL (tptp.hAPP @t679 @t575)))) % 3.49/3.71 (assume @p396 (forall @t683 (= (tptp.hBOOL (tptp.hAPP @t55 @t682)) (and (forall @t17 (=> (= @t143 @t665) (tptp.hBOOL (tptp.hAPP @t55 @t9)))) (=> (tptp.hBOOL (tptp.hAPP @t681 @t575)) @t680))))) % 3.49/3.71 (assume @p397 (forall @t685 (= (tptp.hBOOL (tptp.hAPP @t405 @t684)) @t668))) % 3.49/3.71 (assume @p398 (forall @t425 (tptp.hBOOL (tptp.hAPP @t679 @t592)))) % 3.49/3.71 (assume @p399 (forall @t237 (= (tptp.hAPP @t576 @t236) (tptp.hAPP @t687 @t592)))) % 3.49/3.71 (assume @p400 (forall @t685 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t687 @t583)) @t583)) @t575)) @t673))) % 3.49/3.71 (assume @p401 (forall (@list @t235 @t249 @t66) (=> @t369 (= (tptp.hAPP @t694 @t235) @t691)))) % 3.49/3.71 (assume @p402 (forall (@list @t249 @t235 @t66) (=> @t369 (= (tptp.hAPP @t695 @t693) @t691)))) % 3.49/3.71 (assume @p403 (forall @t598 (=> @t369 (= (tptp.hAPP @t695 @t235) (tptp.hAPP @t698 @t235))))) % 3.49/3.71 (assume @p404 (forall @t602 (=> @t536 (=> (tptp.hBOOL (tptp.hAPP @t699 @t235)) (=> (tptp.hBOOL (tptp.hAPP @t699 @t65)) (tptp.hBOOL (tptp.hAPP @t699 (tptp.hAPP (tptp.hAPP @t690 @t235) @t65)))))))) % 3.49/3.71 (assume @p405 (forall @t708 (=> @t707 (= (= (tptp.hAPP @t706 @t168) (tptp.hAPP @t705 @t21)) (or @t703 @t702))))) % 3.49/3.71 (assume @p406 (forall @t351 (=> @t714 (= (= @t713 @t709) (or @t711 (= @t349 @t710)))))) % 3.49/3.71 (assume @p407 (forall @t509 (=> @t720 (= (tptp.hAPP @t719 @t717) @t715)))) % 3.49/3.71 (assume @p408 (forall @t509 (=> @t720 (= @t722 @t721)))) % 3.49/3.71 (assume @p409 (forall @t509 (=> @t720 (= @t723 @t722)))) % 3.49/3.71 (assume @p410 (forall @t509 (=> @t720 (= @t723 @t721)))) % 3.49/3.71 (assume @p411 (forall @t285 (=> (tptp.class_Groups_Oab__semigroup__mult @t66) (= (tptp.hAPP (tptp.hAPP @t690 @t715) @t87) (tptp.hAPP @t692 @t725))))) % 3.49/3.71 (assume @p412 (forall @t708 (=> @t727 (= (= @t726 @t701) @t703)))) % 3.49/3.71 (assume @p413 (forall @t708 (=> @t727 (= (= @t726 @t21) (= @t701 @t168))))) % 3.49/3.71 (assume @p414 (forall @t708 (=> @t727 (= @t702 (= @t21 @t726))))) % 3.49/3.71 (assume @p415 (forall @t329 (=> @t729 @t728))) % 3.49/3.71 (assume @p416 (forall @t329 (=> @t730 @t728))) % 3.49/3.71 (assume @p417 (forall @t351 (=> (tptp.class_Groups_Oone @t10) (= (= @t709 @t349) @t711)))) % 3.49/3.71 (assume @p418 (forall @t329 (=> @t729 @t731))) % 3.49/3.71 (assume @p419 (forall @t329 (=> @t730 @t731))) % 3.49/3.71 (assume @p420 (forall @t329 (=> @t732 (= (tptp.hAPP @t716 @t718) @t249)))) % 3.49/3.71 (assume @p421 (forall @t744 (=> @t369 (= @t743 (tptp.hAPP @t739 (tptp.hAPP @t735 @t733)))))) % 3.49/3.71 (assume @p422 (forall @t744 (=> @t369 (= @t743 (tptp.hAPP @t740 (tptp.hAPP @t742 @t733)))))) % 3.49/3.71 (assume @p423 (forall @t744 (=> @t369 (= @t743 (tptp.hAPP @t738 (tptp.hAPP @t735 @t741)))))) % 3.49/3.71 (assume @p424 (forall @t746 (=> @t369 (= @t745 (tptp.hAPP @t739 @t734))))) % 3.49/3.71 (assume @p425 (forall @t635 (= (tptp.hAPP (tptp.hAPP @t674 (tptp.hAPP @t748 @t631)) @t630) (tptp.hAPP @t748 (tptp.hAPP @t747 @t630))))) % 3.49/3.71 (assume @p426 (forall @t746 (=> @t369 (= @t745 (tptp.hAPP @t738 (tptp.hAPP @t735 @t736)))))) % 3.49/3.71 (assume @p427 (forall @t752 (=> @t751 (= (= @t750 @t670) @t749)))) % 3.49/3.71 (assume @p428 (forall @t643 (= (tptp.hAPP (tptp.hAPP @t674 @t755) @t638) (tptp.hAPP @t677 @t754)))) % 3.49/3.71 (assume @p429 (forall @t757 (=> @t369 (= @t756 (tptp.hAPP @t739 @t733))))) % 3.49/3.71 (assume @p430 (forall @t757 (=> @t369 (= @t756 (tptp.hAPP @t740 (tptp.hAPP @t738 @t733)))))) % 3.49/3.71 (assume @p431 (forall @t643 (= @t754 @t759))) % 3.49/3.71 (assume @p432 (forall @t509 (=> @t369 (= @t715 @t760)))) % 3.49/3.71 (assume @p433 (forall @t644 (= (tptp.hAPP @t753 @t686) @t306))) % 3.49/3.71 (assume @p434 (forall @t329 (=> @t369 @t728))) % 3.49/3.71 (assume @p435 (forall @t644 (= (tptp.hAPP (tptp.hAPP @t674 @t686) @t306) @t306))) % 3.49/3.71 (assume @p436 (forall @t329 (=> @t369 @t731))) % 3.49/3.71 (assume @p437 (forall @t765 (=> @t764 (= (tptp.hAPP @t761 @t759) (tptp.hAPP (tptp.hAPP @t690 @t763) @t762))))) % 3.49/3.71 (assume @p438 (forall @t766 (=> @t764 (= (tptp.hAPP @t761 @t755) (tptp.hAPP @t716 @t762))))) % 3.49/3.71 (assume @p439 (forall @t644 (= (tptp.hAPP @t677 @t755) @t306))) % 3.49/3.71 (assume @p440 (forall @t353 (=> @t769 (= @t768 (tptp.hAPP (tptp.hAPP @t690 @t767) @t101))))) % 3.49/3.71 (assume @p441 (forall @t385 (=> @t764 (= (tptp.hAPP @t761 @t686) @t688)))) % 3.49/3.71 (assume @p442 (forall @t602 (=> @t599 (= (tptp.hAPP @t595 @t772) (tptp.hAPP (tptp.hAPP @t690 @t596) @t600))))) % 3.49/3.71 (assume @p443 (forall @t385 (=> @t599 (= (tptp.hAPP @t595 @t773) @t688)))) % 3.49/3.71 (assume @p444 (forall @t777 (=> @t764 (and (=> @t775 (= @t774 (tptp.hAPP @t716 (tptp.hAPP @t595 (tptp.hAPP tptp.c_Int_Onat @t776))))) (=> (not @t775) (= @t774 (tptp.hAPP @t595 (tptp.hAPP tptp.c_Int_Onat @t311)))))))) % 3.49/3.71 (assume @p445 (forall @t96 (= (tptp.hAPP tptp.c_Int_Onat @t778) @t199))) % 3.49/3.71 (assume @p446 (= @t779 @t259)) % 3.49/3.71 (assume @p447 (forall @t341 (=> (tptp.hBOOL (tptp.hAPP @t594 @t314)) (= @t782 @t780)))) % 3.49/3.71 (assume @p448 (forall @t385 (=> @t732 (= (tptp.hAPP @t716 @t326) @t326)))) % 3.49/3.71 (assume @p449 (forall @t335 (=> @t727 (= (= @t331 @t726) (= @t331 @t168))))) % 3.49/3.71 (assume @p450 (forall @t335 (=> @t334 (= (= @t168 @t726) @t332)))) % 3.49/3.71 (assume @p451 (forall @t335 (=> @t727 (= (= @t726 @t331) @t332)))) % 3.49/3.71 (assume @p452 (forall @t335 (=> @t334 (= (= @t726 @t168) @t332)))) % 3.49/3.71 (assume @p453 (forall @t368 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t783 @t726)) @t436)))) % 3.49/3.71 (assume @p454 (forall @t708 (=> @t784 (= @t786 (tptp.hBOOL (tptp.hAPP @t783 @t168)))))) % 3.49/3.71 (assume @p455 (forall @t708 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t435 @t701)) (tptp.hBOOL (tptp.hAPP @t787 @t726)))))) % 3.49/3.71 (assume @p456 (forall @t509 (=> @t790 (= @t789 (tptp.hAPP @t788 @t717))))) % 3.49/3.71 (assume @p457 (forall @t509 (=> @t732 (= @t789 (tptp.hAPP (tptp.hAPP @t274 @t717) @t718))))) % 3.49/3.71 (assume @p458 (forall @t509 (=> @t732 (= (tptp.hAPP @t281 (tptp.hAPP @t788 @t272)) @t272)))) % 3.49/3.71 (assume @p459 (forall @t509 (=> @t732 (= (tptp.hAPP @t788 @t283) @t272)))) % 3.49/3.71 (assume @p460 (forall @t329 (=> @t369 @t791))) % 3.49/3.71 (assume @p461 (forall @t329 (=> @t369 @t792))) % 3.49/3.71 (assume @p462 (forall @t329 (=> @t793 @t791))) % 3.49/3.71 (assume @p463 (forall @t329 (=> @t793 @t792))) % 3.49/3.71 (assume @p464 (forall @t708 (=> (tptp.class_Rings_Oring__no__zero__divisors @t10) (= (= @t795 @t331) (or @t332 @t794))))) % 3.49/3.71 (assume @p465 (forall @t509 (=> @t801 (=> @t800 (=> @t798 (not @t796)))))) % 3.49/3.71 (assume @p466 (forall @t509 (=> @t801 (=> @t796 (or @t799 @t797))))) % 3.49/3.71 (assume @p467 (forall @t385 (=> @t802 (not (= @t688 @t326))))) % 3.49/3.71 (assume @p468 (forall @t385 (=> @t802 (not (= @t326 @t688))))) % 3.49/3.71 (assume @p469 (= (tptp.hAPP @t677 @t575) @t575)) % 3.49/3.71 (assume @p470 (forall @t96 (= (tptp.hAPP tptp.c_Int_Onat @t591) @t65))) % 3.49/3.71 (assume @p471 (forall @t657 (=> @t369 (= (tptp.hAPP @t803 @t807) (tptp.hAPP (tptp.hAPP @t274 @t805) @t804))))) % 3.49/3.71 (assume @p472 (forall @t814 (=> @t367 (= (and @t813 (not @t812)) (not (= (tptp.hAPP (tptp.hAPP @t287 @t811) (tptp.hAPP @t705 @t809)) (tptp.hAPP (tptp.hAPP @t287 @t810) @t808))))))) % 3.49/3.71 (assume @p473 (forall @t285 (=> @t369 @t817))) % 3.49/3.71 (assume @p474 (forall (@list @t272 @t235 @t249 @t66) (=> @t369 (= (tptp.hAPP @t694 (tptp.hAPP @t724 @t235)) (tptp.hAPP @t816 @t235))))) % 3.49/3.71 (assume @p475 (forall (@list @t583 @t349 @t610 @t580 @t10) (=> @t367 (= (= (tptp.hAPP (tptp.hAPP @t287 @t821) @t820) (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t819 @t583)) (tptp.hAPP @t712 @t610))) (or (= @t580 @t349) @t818))))) % 3.49/3.71 (assume @p476 (forall @t285 (=> (tptp.class_Rings_Ocomm__semiring @t66) @t817))) % 3.49/3.71 (assume @p477 (forall (@list @t87 @t272 @t822 @t249 @t66) (=> (tptp.class_Rings_Osemiring @t66) (= (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t692 @t822)) (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t724 @t822)) @t87)) (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t816 @t822)) @t87))))) % 3.49/3.71 (assume @p478 (forall @t643 (= (tptp.hAPP @t677 @t642) (tptp.hAPP @t824 @t823)))) % 3.49/3.71 (assume @p479 (forall @t827 (= (tptp.hAPP @t758 @t634) (tptp.hAPP (tptp.hAPP @t581 @t826) @t825)))) % 3.49/3.71 (assume @p480 (forall @t830 (= (tptp.hAPP (tptp.hAPP @t674 @t634) @t638) (tptp.hAPP (tptp.hAPP @t581 @t829) @t828)))) % 3.49/3.71 (assume @p481 (not (= @t575 @t686))) % 3.49/3.71 (assume @p482 (forall @t96 (= (tptp.hAPP @t831 @t591) @t591))) % 3.49/3.71 (assume @p483 (forall @t685 (= (tptp.hBOOL (tptp.hAPP @t833 @t684)) (tptp.hBOOL (tptp.hAPP @t832 @t583))))) % 3.49/3.71 (assume @p484 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP @t785 @t168)) @t516)))) % 3.49/3.71 (assume @p485 (forall @t335 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t785 @t331)) @t516)))) % 3.49/3.71 (assume @p486 (forall @t335 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t515 @t726)) @t500)))) % 3.49/3.71 (assume @p487 (forall @t335 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t435 @t726)) @t500)))) % 3.49/3.71 (assume @p488 (forall @t509 (=> @t732 (=> (= @t283 @t326) (= @t718 @t272))))) % 3.49/3.71 (assume @p489 (forall @t329 (=> @t790 @t834))) % 3.49/3.71 (assume @p490 (forall @t329 (=> @t732 @t834))) % 3.49/3.71 (assume @p491 (forall @t708 (=> @t727 (= @t702 (= @t295 @t331))))) % 3.49/3.71 (assume @p492 (forall @t329 (=> @t732 (= (tptp.hAPP @t281 @t718) @t326)))) % 3.49/3.71 (assume @p493 (= @t835 @t199)) % 3.49/3.71 (assume @p494 (= @t199 @t835)) % 3.49/3.71 (assume @p495 (forall @t329 (=> @t837 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t836) @t326)))))) % 3.49/3.71 (assume @p496 (forall @t439 (=> @t844 (= (tptp.hBOOL (tptp.hAPP @t843 @t808)) @t842)))) % 3.49/3.71 (assume @p497 (forall @t441 (=> @t844 (= @t848 @t842)))) % 3.49/3.71 (assume @p498 (forall @t441 (=> @t844 (=> @t841 (= @t848 @t436))))) % 3.49/3.71 (assume @p499 (forall @t509 (=> @t850 (=> @t514 (=> @t512 @t849))))) % 3.49/3.71 (assume @p500 (forall @t509 (=> @t850 (=> @t514 (=> @t505 @t851))))) % 3.49/3.71 (assume @p501 (forall @t509 (=> @t850 (=> @t514 (=> @t505 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t760) @t326))))))) % 3.49/3.71 (assume @p502 (forall @t509 (=> @t850 (=> @t849 @t852)))) % 3.49/3.71 (assume @p503 (forall @t663 (=> @t850 (=> (tptp.hBOOL (tptp.hAPP @t510 @t760)) @t852)))) % 3.49/3.71 (assume @p504 (forall @t441 (=> @t844 (=> @t840 (= @t848 @t838))))) % 3.49/3.71 (assume @p505 (forall @t509 (=> @t850 (=> @t507 (=> @t512 @t851))))) % 3.49/3.71 (assume @p506 (forall @t509 (=> @t853 (=> @t507 (=> @t505 @t849))))) % 3.49/3.71 (assume @p507 (forall @t285 (=> @t850 (=> @t446 (=> @t856 @t855))))) % 3.49/3.71 (assume @p508 (forall @t285 (=> @t850 @t861))) % 3.49/3.71 (assume @p509 (forall @t285 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t66) @t861))) % 3.49/3.71 (assume @p510 (forall @t280 (=> @t853 (=> @t659 (=> @t862 @t855))))) % 3.49/3.71 (assume @p511 (forall @t280 (=> @t853 (=> @t659 (=> @t862 @t860))))) % 3.49/3.71 (assume @p512 (forall @t385 (=> @t536 (not (tptp.hBOOL (tptp.hAPP @t699 @t326)))))) % 3.49/3.71 (assume @p513 (forall @t385 (=> @t536 (tptp.hBOOL (tptp.hAPP @t510 @t688))))) % 3.49/3.71 (assume @p514 (forall (@list @t370 @t87 @t272 @t249 @t863 @t66) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t66) (=> (not (= @t863 @t326)) (=> (and @t662 (not (= @t87 @t370))) (not (= (tptp.hAPP @t281 (tptp.hAPP @t864 @t87)) (tptp.hAPP @t277 (tptp.hAPP @t864 @t370))))))))) % 3.49/3.71 (assume @p515 (forall @t623 (=> @t844 (= (= @t867 @t331) @t866)))) % 3.49/3.71 (assume @p516 (forall @t329 (=> @t536 (tptp.hBOOL (tptp.hAPP @t445 @t689))))) % 3.49/3.71 (assume @p517 (forall @t644 (= (tptp.hAPP @t824 @t306) @t575))) % 3.49/3.71 (assume @p518 (forall @t468 (= (= (tptp.hAPP @t677 @t577) @t588) @t868))) % 3.49/3.71 (assume @p519 (forall @t425 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t591) (tptp.hAPP @t677 @t592)))))) % 3.49/3.71 (assume @p520 (forall @t478 (=> @t647 (=> @t667 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP @t869 @t471)) (tptp.hAPP @t869 @t473))))))) % 3.49/3.71 (assume @p521 (tptp.hBOOL (tptp.hAPP @t594 @t686))) % 3.49/3.71 (assume @p522 (forall @t644 (not (= (tptp.hAPP (tptp.hAPP @t581 @t870) @t306) @t575)))) % 3.49/3.71 (assume @p523 (forall @t587 (= @t871 (or @t586 @t749)))) % 3.49/3.71 (assume @p524 (forall @t385 (=> @t764 (= (tptp.hAPP @t761 @t575) @t326)))) % 3.49/3.71 (assume @p525 (forall @t671 (=> @t751 (= (= @t331 @t670) @t872)))) % 3.49/3.71 (assume @p526 (forall @t671 (=> @t751 (= (= @t670 @t331) @t872)))) % 3.49/3.71 (assume @p527 (forall @t752 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t750) @t670)) @t586)))) % 3.49/3.71 (assume @p528 (forall @t765 (=> @t764 (= (tptp.hAPP @t761 @t640) (tptp.hAPP (tptp.hAPP @t274 @t763) @t762))))) % 3.49/3.71 (assume @p529 (forall @t873 (=> @t764 (= (tptp.hAPP @t761 @t591) @t600)))) % 3.49/3.71 (assume @p530 (forall @t878 (=> @t668 @t877))) % 3.49/3.71 (assume @p531 (forall @t587 (= @t876 (and @t668 @t586)))) % 3.49/3.71 (assume @p532 (forall @t879 (= (tptp.hBOOL (tptp.hAPP @t420 @t684)) (tptp.hBOOL (tptp.hAPP @t589 @t583))))) % 3.49/3.71 (assume @p533 (forall @t555 (=> @t837 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t882) @t326)))))) % 3.49/3.71 (assume @p534 (forall @t623 (=> @t844 (= (tptp.hBOOL (tptp.hAPP @t515 @t867)) @t884)))) % 3.49/3.71 (assume @p535 (forall @t385 (=> @t536 (tptp.hBOOL (tptp.hAPP @t510 @t697))))) % 3.49/3.71 (assume @p536 (forall @t598 (=> @t599 (= (tptp.hAPP @t595 @t236) (tptp.hAPP @t696 @t596))))) % 3.49/3.71 (assume @p537 (= (tptp.hAPP @t576 @t259) @t686)) % 3.49/3.71 (assume @p538 (forall @t885 (= (tptp.c_Int_Onat__aux @t471 @t65) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP tptp.c_Int_Onat @t471)) @t65)))) % 3.49/3.71 (assume @p539 (forall @t886 (=> (tptp.hBOOL (tptp.hAPP @t649 @t575)) (exists @t17 (= @t101 (tptp.hAPP @t677 @t579)))))) % 3.49/3.71 (assume @p540 (forall @t353 (=> @t890 (and (=> @t889 (= @t887 @t326)) (=> (not @t889) (and (=> @t888 (= @t887 @t688)) (=> (not @t888) (= @t887 @t767)))))))) % 3.49/3.71 (assume @p541 (forall @t329 (=> @t554 (=> @t507 (= @t891 @t767))))) % 3.49/3.71 (assume @p542 (forall @t335 (=> @t502 (= (= @t892 @t710) @t500)))) % 3.49/3.71 (assume @p543 (forall @t898 (and (=> @t896 (= @t894 @t575)) (=> @t897 (and (=> @t895 (= @t894 @t686)) (=> (not @t895) (= @t894 @t893))))))) % 3.49/3.71 (assume @p544 (forall @t644 (=> @t902 (= (tptp.hAPP tptp.c_Nat_OSuc @t899) (tptp.hAPP tptp.c_Int_Onat @t870))))) % 3.49/3.71 (assume @p545 (forall @t904 (=> @t903 (= (tptp.hBOOL (tptp.hAPP @t875 @t314)) (tptp.hBOOL (tptp.hAPP @t585 @t588)))))) % 3.49/3.71 (assume @p546 (forall @t913 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t66) (=> @t912 (=> (tptp.hBOOL (tptp.hAPP @t548 @t249)) (=> @t911 (=> @t910 (=> @t907 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t906) @t249)))))))))) % 3.49/3.71 (assume @p547 (forall @t335 (=> @t502 (= (= @t892 @t709) @t516)))) % 3.49/3.71 (assume @p548 (forall @t353 (=> @t615 (tptp.hBOOL (tptp.hAPP @t914 @t101))))) % 3.49/3.71 (assume @p549 (forall @t96 (tptp.hBOOL (tptp.hAPP @t916 @t65)))) % 3.49/3.71 (assume @p550 (forall @t425 (tptp.hBOOL (tptp.hAPP @t917 @t592)))) % 3.49/3.71 (assume @p551 (forall @t492 (=> @t925 (=> @t923 (tptp.hBOOL (tptp.hAPP @t921 (tptp.hAPP @t918 @t485))))))) % 3.49/3.71 (assume @p552 (forall @t478 (=> @t925 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t928) @t927))))) % 3.49/3.71 (assume @p553 (forall @t478 (=> @t925 (tptp.hBOOL (tptp.hAPP @t921 @t929))))) % 3.49/3.71 (assume @p554 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t770 @t772) @t311) (tptp.hAPP @t771 @t931)))) % 3.49/3.71 (assume @p555 (forall @t341 (= (= @t936 @t773) @t934))) % 3.49/3.71 (assume @p556 (forall @t305 (= @t772 @t937))) % 3.49/3.71 (assume @p557 (forall @t96 (= (tptp.hAPP @t930 @t773) @t65))) % 3.49/3.71 (assume @p558 (forall @t341 (= (= @t773 @t936) @t934))) % 3.49/3.71 (assume @p559 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t770 @t773) @t65) @t65))) % 3.49/3.71 (assume @p560 (forall @t237 (tptp.hBOOL (tptp.hAPP @t939 (tptp.hAPP @t771 @t938))))) % 3.49/3.71 (assume @p561 (forall @t237 (tptp.hBOOL (tptp.hAPP @t939 @t938)))) % 3.49/3.71 (assume @p562 (forall @t305 (=> (= @t235 @t772) (or (= @t65 @t773) @t940)))) % 3.49/3.71 (assume @p563 (forall @t320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t946) @t945)) @t942))) % 3.49/3.71 (assume @p564 (forall @t948 (tptp.hBOOL (tptp.hAPP @t947 @t638)))) % 3.49/3.71 (assume @p565 (forall @t643 (or @t951 @t949))) % 3.49/3.71 (assume @p566 (forall @t478 (=> @t953 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t473) @t311)) (tptp.hBOOL (tptp.hAPP @t952 @t311)))))) % 3.49/3.71 (assume @p567 (forall @t643 (=> @t951 (=> @t949 (= @t306 @t638))))) % 3.49/3.71 (assume @p568 (forall @t329 (=> @t554 (= (tptp.c_Groups_Osgn__class_Osgn @t66 @t891) @t891)))) % 3.49/3.71 (assume @p569 (forall @t960 (=> @t959 (= @t958 (forall @t8 @t955))))) % 3.49/3.71 (assume @p570 (forall @t555 (=> @t625 (or @t963 @t962)))) % 3.49/3.71 (assume @p571 (forall @t623 (=> @t606 (= @t620 (and @t968 @t966))))) % 3.49/3.71 (assume @p572 (forall @t555 (=> @t615 (=> @t102 @t963)))) % 3.49/3.71 (assume @p573 (forall (@list @t349 @t1 @t2 @t10 @t92) (=> @t959 (=> @t958 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t566) @t969)))))) % 3.49/3.71 (assume @p574 (forall @t627 (=> @t606 (=> @t966 @t970)))) % 3.49/3.71 (assume @p575 (forall @t285 (=> @t661 (=> @t662 (=> @t974 @t972))))) % 3.49/3.71 (assume @p576 (forall @t285 (=> @t653 (=> @t662 (=> (tptp.hBOOL (tptp.hAPP @t975 @t272)) @t976))))) % 3.49/3.71 (assume @p577 (forall @t285 (=> @t661 (=> @t977 (=> @t273 @t972))))) % 3.49/3.71 (assume @p578 (forall @t280 (=> @t653 (=> @t978 (=> @t273 @t976))))) % 3.49/3.71 (assume @p579 (forall @t555 (=> @t653 (=> @t963 (=> @t962 @t102))))) % 3.49/3.71 (assume @p580 (forall @t657 (=> @t615 (=> @t963 (=> @t980 @t979))))) % 3.49/3.71 (assume @p581 (forall @t981 (=> @t653 (=> @t962 (=> @t963 @t102))))) % 3.49/3.71 (assume @p582 (forall @t654 (=> @t653 (=> @t962 (=> @t984 @t983))))) % 3.49/3.71 (assume @p583 (forall @t555 (=> @t625 (=> (not @t963) @t962)))) % 3.49/3.71 (assume @p584 (forall @t574 (=> @t570 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t572) @t569)) @t942)))) % 3.49/3.71 (assume @p585 (forall @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t613) @t612)) @t985))) % 3.49/3.71 (assume @p586 (forall @t341 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t588) @t577)) @t942))) % 3.49/3.71 (assume @p587 (forall @t752 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t750) @t670)) @t987)))) % 3.49/3.71 (assume @p588 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t988 @t936)) (and (tptp.hBOOL (tptp.hAPP @t988 @t314)) (tptp.hBOOL (tptp.hAPP @t988 @t19)))))) % 3.49/3.71 (assume @p589 (forall @t320 (= @t994 @t990))) % 3.49/3.71 (assume @p590 (forall @t325 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t997) @t996)) @t990))) % 3.49/3.71 (assume @p591 (forall @t614 (=> @t1003 (=> @t1002 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1001) @t1000)) @t999))))) % 3.49/3.71 (assume @p592 (forall @t654 (=> @t653 (=> @t962 @t652)))) % 3.49/3.71 (assume @p593 (forall @t657 (=> @t615 (=> @t963 @t656)))) % 3.49/3.71 (assume @p594 (forall @t654 (=> @t653 (=> @t549 (=> @t984 @t651))))) % 3.49/3.71 (assume @p595 (forall @t657 (=> @t615 (=> @t551 (=> @t980 @t655))))) % 3.49/3.71 (assume @p596 (forall @t663 (=> @t653 (=> @t978 (=> @t1004 @t659))))) % 3.49/3.71 (assume @p597 (forall @t509 (=> @t653 (=> @t977 (=> @t1004 @t446))))) % 3.49/3.71 (assume @p598 (forall @t555 (=> @t653 (=> @t963 (or @t551 @t102))))) % 3.49/3.71 (assume @p599 (forall @t623 (=> @t622 (=> @t968 @t626)))) % 3.49/3.71 (assume @p600 (forall @t555 (=> @t615 (=> @t551 @t963)))) % 3.49/3.71 (assume @p601 (forall @t981 (=> @t625 (=> @t962 @t552)))) % 3.49/3.71 (assume @p602 (forall @t509 (=> @t653 (=> @t1004 (=> @t978 @t659))))) % 3.49/3.71 (assume @p603 (forall @t509 (=> @t653 (=> @t1004 (=> @t977 @t446))))) % 3.49/3.71 (assume @p604 (forall @t623 (=> @t622 (=> @t624 @t970)))) % 3.49/3.71 (assume @p605 (forall @t981 (=> @t625 (=> (not @t962) @t551)))) % 3.49/3.71 (assume @p606 (forall @t555 (=> @t625 (=> @t552 @t962)))) % 3.49/3.71 (assume @p607 (forall @t623 (=> @t606 (= @t968 (or @t619 @t620))))) % 3.49/3.71 (assume @p608 (forall @t623 (=> (tptp.class_Orderings_Opreorder @t10) (= @t619 (and @t968 (not @t966)))))) % 3.49/3.71 (assume @p609 (forall @t623 (=> @t606 (= @t619 (and @t968 @t621))))) % 3.49/3.71 (assume @p610 (forall @t555 (=> @t625 (or @t963 @t549)))) % 3.49/3.71 (assume @p611 (forall @t623 (=> @t622 (= (not @t968) @t617)))) % 3.49/3.71 (assume @p612 (forall @t623 (=> @t622 (= @t624 @t966)))) % 3.49/3.71 (assume @p613 (forall @t456 (=> @t454 (=> @t1005 @t977)))) % 3.49/3.71 (assume @p614 (forall @t455 (=> @t454 (=> @t1007 @t977)))) % 3.49/3.71 (assume @p615 (forall @t376 (=> @t1009 (=> @t977 (=> @t1008 (tptp.hBOOL (tptp.hAPP @t1006 @t375))))))) % 3.49/3.71 (assume @p616 (forall @t285 (=> @t1009 (=> @t977 @t1005)))) % 3.49/3.71 (assume @p617 (forall @t285 (=> @t1009 (=> @t977 @t1007)))) % 3.49/3.71 (assume @p618 (forall @t441 (=> @t438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t289) @t440)) @t1011)))) % 3.49/3.71 (assume @p619 (forall @t439 (=> @t438 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t294) @t437)) @t1011)))) % 3.49/3.71 (assume @p620 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t770 @t199) @t65) @t199))) % 3.49/3.71 (assume @p621 (forall @t237 (= (tptp.hAPP @t771 @t199) @t199))) % 3.49/3.71 (assume @p622 (forall @t341 (= (= @t936 @t199) (or @t339 @t338)))) % 3.49/3.71 (assume @p623 (forall @t320 (= @t1014 @t1013))) % 3.49/3.71 (assume @p624 (forall @t325 (= (= @t997 @t996) @t1013))) % 3.49/3.71 (assume @p625 (forall @t320 (= (= @t946 @t945) @t315))) % 3.49/3.71 (assume @p626 (forall @t460 (= (tptp.hBOOL (tptp.hAPP @t1015 @t199)) @t338))) % 3.49/3.71 (assume @p627 (forall @t708 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t1010 @t701)) (tptp.hBOOL (tptp.hAPP @t1016 @t726)))))) % 3.49/3.71 (assume @p628 (forall @t708 (=> @t784 (= @t1019 (tptp.hBOOL (tptp.hAPP @t1017 @t168)))))) % 3.49/3.71 (assume @p629 (forall @t368 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t1017 @t726)) @t1011)))) % 3.49/3.71 (assume @p630 (forall @t509 (=> @t1020 (=> @t977 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t717) @t718)))))) % 3.49/3.71 (assume @p631 (forall @t1023 (= (tptp.hAPP @t926 @t304) (tptp.hAPP (tptp.hAPP @t260 @t1022) @t1021)))) % 3.49/3.71 (assume @p632 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t770 @t304) @t311) (tptp.hAPP (tptp.hAPP @t260 @t1024) @t931)))) % 3.49/3.71 (assume @p633 (forall @t305 (=> @t1026 @t1025))) % 3.49/3.71 (assume @p634 (forall @t305 (=> @t1027 (=> (not @t1025) (= @t235 @t67))))) % 3.49/3.71 (assume @p635 (forall @t305 (=> @t1025 @t1027))) % 3.49/3.71 (assume @p636 (forall @t468 (= (tptp.hBOOL (tptp.hAPP @t1029 @t461)) @t1028))) % 3.49/3.71 (assume @p637 (forall @t341 (= @t1030 (or @t942 (= @t314 @t48))))) % 3.49/3.71 (assume @p638 (forall @t341 (= @t1032 @t1031))) % 3.49/3.71 (assume @p639 (forall @t96 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t67) @t65))))) % 3.49/3.71 (assume @p640 (tptp.hBOOL (tptp.hAPP @t901 @t575))) % 3.49/3.71 (assume @p641 (forall @t103 (=> @t427 @t1034))) % 3.49/3.71 (assume @p642 (forall @t341 (= @t421 (and @t942 @t429)))) % 3.49/3.71 (assume @p643 (forall @t341 (= @t942 @t463))) % 3.49/3.71 (assume @p644 (forall @t305 (=> @t415 @t1025))) % 3.49/3.71 (assume @p645 (forall @t305 (=> @t1025 (=> @t423 @t415)))) % 3.49/3.71 (assume @p646 (forall @t305 (=> (or @t415 @t422) @t1025))) % 3.49/3.71 (assume @p647 (forall @t558 (=> (tptp.hBOOL (tptp.hAPP @t1033 @t306)) @t1035))) % 3.49/3.71 (assume @p648 (forall @t310 (=> @t1034 @t1035))) % 3.49/3.71 (assume @p649 (forall @t425 (tptp.hBOOL (tptp.hAPP @t1036 @t304)))) % 3.49/3.71 (assume @p650 (forall @t425 (tptp.hBOOL (tptp.hAPP @t1036 @t302)))) % 3.49/3.71 (assume @p651 (forall @t341 (= @t942 (exists @t524 (= @t19 @t523))))) % 3.49/3.71 (assume @p652 (forall @t320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t319) @t318)) @t942))) % 3.49/3.71 (assume @p653 (forall @t495 (=> @t925 (tptp.hBOOL (tptp.hAPP @t924 @t496))))) % 3.49/3.71 (assume @p654 (forall @t495 (=> @t925 (tptp.hBOOL (tptp.hAPP @t924 @t494))))) % 3.49/3.71 (assume @p655 (forall @t478 (=> @t925 (tptp.hBOOL (tptp.hAPP @t1037 @t493))))) % 3.49/3.71 (assume @p656 (forall @t492 (=> @t925 (=> @t923 (tptp.hBOOL (tptp.hAPP @t1037 @t489)))))) % 3.49/3.71 (assume @p657 (forall @t1041 (=> @t1040 @t1038))) % 3.49/3.71 (assume @p658 (forall @t1041 (=> @t1040 @t1025))) % 3.49/3.71 (assume @p659 (forall @t1041 (=> @t1040 (not (=> @t1025 (not @t1038)))))) % 3.49/3.71 (assume @p660 (forall @t878 (= (tptp.hBOOL (tptp.hAPP @t672 @t580)) (and (tptp.hBOOL (tptp.hAPP @t1042 @t580)) (not (= @t583 @t580)))))) % 3.49/3.71 (assume @p661 (forall @t478 (=> @t953 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP @t1043 @t471)) (tptp.hAPP @t1043 @t473)))))) % 3.49/3.71 (assume @p662 (forall (@list @t235 @t64 @t65 @t78 @t87) (=> @t241 (=> @t1044 (tptp.c_Natural_Oevaln @t87 @t78 @t235 @t64))))) % 3.49/3.71 (assume @p663 (forall @t587 (=> (or (tptp.hBOOL (tptp.hAPP @t594 @t580)) @t1045) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t874) @t684)) @t987)))) % 3.49/3.71 (assume @p664 (forall @t103 (=> @t1050 (=> @t1049 (= (tptp.hAPP (tptp.hAPP @t770 @t1048) @t1047) (tptp.hAPP tptp.c_Int_Onat @t1046)))))) % 3.49/3.71 (assume @p665 (forall @t1054 (=> @t902 (= @t1053 (tptp.hAPP (tptp.hAPP @t770 @t899) @t1052))))) % 3.49/3.71 (assume @p666 (forall @t671 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t1055 @t670)) @t1045)))) % 3.49/3.71 (assume @p667 (forall @t671 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t670) @t331)) (tptp.hBOOL (tptp.hAPP @t1042 @t575)))))) % 3.49/3.71 (assume @p668 (forall @t335 (=> @t502 (= (= @t892 @t331) @t332)))) % 3.49/3.71 (assume @p669 (forall @t385 (=> @t890 (= (tptp.c_Groups_Osgn__class_Osgn @t66 @t326) @t326)))) % 3.49/3.71 (assume @p670 (forall @t509 (=> @t554 (= (tptp.c_Groups_Osgn__class_Osgn @t66 @t715) (tptp.hAPP (tptp.hAPP @t690 @t891) (tptp.c_Groups_Osgn__class_Osgn @t66 @t272)))))) % 3.49/3.71 (assume @p671 (forall @t1054 (=> @t1056 (= @t1053 (tptp.hAPP (tptp.hAPP @t770 (tptp.hAPP tptp.c_Int_Onat @t755)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t677 @t1051))))))) % 3.49/3.71 (assume @p672 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP @t1055 @t333)) @t1057)))) % 3.49/3.71 (assume @p673 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t333) @t331)) @t1058)))) % 3.49/3.71 (assume @p674 (forall @t509 (=> @t508 (=> @t1060 (=> @t1059 (tptp.hBOOL (tptp.hAPP @t909 @t283))))))) % 3.49/3.71 (assume @p675 (forall @t623 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t10) (=> (tptp.hBOOL (tptp.hAPP @t1055 @t349)) (=> (tptp.hBOOL (tptp.hAPP @t1055 @t610)) (= (= @t1062 @t331) @t866)))))) % 3.49/3.71 (assume @p676 (forall @t285 (=> @t508 (=> @t1060 (=> @t974 @t1063))))) % 3.49/3.71 (assume @p677 (forall @t1065 (=> @t508 (=> @t1064 (=> @t978 @t1063))))) % 3.49/3.71 (assume @p678 (forall @t509 (=> @t508 (=> @t1067 (=> @t1066 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t283) @t326))))))) % 3.49/3.71 (assume @p679 (forall @t509 (=> @t1069 (=> (or (and @t1060 @t1066) (and @t1067 @t1059)) @t1068)))) % 3.49/3.71 (assume @p680 (forall @t509 (=> @t1071 (=> (or (and @t1060 @t1059) (and @t1067 @t1066)) @t1070)))) % 3.49/3.71 (assume @p681 (forall @t376 (=> @t1075 (=> @t977 (=> @t1008 (=> @t1059 @t1074)))))) % 3.49/3.71 (assume @p682 (forall @t376 (=> @t1075 (=> @t977 (=> @t1008 (=> @t1060 @t1074)))))) % 3.49/3.71 (assume @p683 (forall @t280 (=> @t1071 (=> @t978 (=> @t1077 @t1076))))) % 3.49/3.71 (assume @p684 (forall @t280 (=> @t1071 (=> @t978 (=> @t1077 @t1078))))) % 3.49/3.71 (assume @p685 (forall @t285 (=> (tptp.class_Rings_Oordered__comm__semiring @t66) @t1079))) % 3.49/3.71 (assume @p686 (forall @t285 (=> @t1075 @t1079))) % 3.49/3.71 (assume @p687 (forall @t285 (=> @t1075 (=> @t977 (=> @t1064 @t1078))))) % 3.49/3.71 (assume @p688 (forall @t509 (=> @t1071 (=> @t1067 (=> @t1066 @t1070))))) % 3.49/3.71 (assume @p689 (forall @t509 (=> @t1069 (=> @t1067 (=> @t1059 @t1068))))) % 3.49/3.71 (assume @p690 (forall @t509 (=> @t1069 (=> @t1060 (=> @t1066 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t760) @t326))))))) % 3.49/3.71 (assume @p691 (forall @t509 (=> @t1069 (=> @t1060 (=> @t1066 @t1068))))) % 3.49/3.71 (assume @p692 (forall @t509 (=> @t1069 (=> @t1060 (=> @t1059 @t1070))))) % 3.49/3.71 (assume @p693 (forall @t708 (=> @t844 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t795) @t331)) @t1082)))) % 3.49/3.71 (assume @p694 (forall @t708 (=> @t844 (= (tptp.hBOOL (tptp.hAPP @t1055 @t795)) @t1083)))) % 3.49/3.71 (assume @p695 (forall @t329 (=> @t837 (tptp.hBOOL (tptp.hAPP @t909 @t836))))) % 3.49/3.71 (assume @p696 (forall @t376 (=> @t447 (=> @t977 @t453)))) % 3.49/3.71 (assume @p697 (forall @t376 (=> @t447 (=> @t446 (=> @t1008 @t450))))) % 3.49/3.71 (assume @p698 (forall @t385 (=> @t536 (tptp.hBOOL (tptp.hAPP @t909 @t688))))) % 3.49/3.71 (assume @p699 (forall @t385 (=> @t536 (not (tptp.hBOOL (tptp.hAPP @t1084 @t326)))))) % 3.49/3.71 (assume @p700 (forall @t335 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t1055 @t726)) @t1058)))) % 3.49/3.71 (assume @p701 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP @t1010 @t726)) @t1058)))) % 3.49/3.71 (assume @p702 (forall @t335 (=> @t784 (= (tptp.hBOOL (tptp.hAPP @t1018 @t331)) @t1057)))) % 3.49/3.71 (assume @p703 (forall @t335 (=> @t334 (= (tptp.hBOOL (tptp.hAPP @t1018 @t168)) @t1057)))) % 3.49/3.71 (assume @p704 (forall @t341 (= (= @t936 @t259) (and @t347 @t346)))) % 3.49/3.71 (assume @p705 (forall @t873 (=> @t536 (tptp.hBOOL (tptp.hAPP @t909 @t600))))) % 3.49/3.71 (assume @p706 (forall @t598 (=> @t536 (tptp.hBOOL (tptp.hAPP @t909 @t596))))) % 3.49/3.71 (assume @p707 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t405 @t936)) (and @t521 @t458)))) % 3.49/3.71 (assume @p708 (forall @t320 (= @t1086 @t1085))) % 3.49/3.71 (assume @p709 (forall @t325 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t997) @t996)) @t1085))) % 3.49/3.71 (assume @p710 (forall @t478 (=> @t477 (=> @t676 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t920) @t929)))))) % 3.49/3.71 (assume @p711 (forall @t478 (=> @t477 (=> @t676 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t928) @t927)))))) % 3.49/3.71 (assume @p712 (forall @t320 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t946) @t945)) @t421))) % 3.49/3.71 (assume @p713 (forall @t305 (= (tptp.hAPP @t771 @t67) (tptp.hAPP @t303 @t772)))) % 3.49/3.71 (assume @p714 (forall @t305 (= (tptp.hAPP (tptp.hAPP @t770 @t236) @t65) (tptp.hAPP @t301 @t772)))) % 3.49/3.71 (assume @p715 (= @t773 @t259)) % 3.49/3.71 (assume @p716 (forall @t468 (= @t419 @t1031))) % 3.49/3.71 (assume @p717 (forall @t341 (= @t464 @t942))) % 3.49/3.71 (assume @p718 (forall @t341 (= @t1087 @t421))) % 3.49/3.71 (assume @p719 (forall @t305 (=> @t1025 @t469))) % 3.49/3.71 (assume @p720 (forall @t305 (=> @t415 @t1026))) % 3.49/3.71 (assume @p721 (forall @t341 (=> @t942 @t466))) % 3.49/3.71 (assume @p722 (forall @t305 (=> @t1026 @t415))) % 3.49/3.71 (assume @p723 (forall @t96 (= @t67 @t1089))) % 3.49/3.71 (assume @p724 (forall @t96 (= @t67 @t1090))) % 3.49/3.71 (assume @p725 (forall @t103 (=> @t1050 (=> @t1049 (tptp.hBOOL (tptp.hAPP @t901 @t1091)))))) % 3.49/3.71 (assume @p726 (forall @t644 (tptp.hBOOL (tptp.hAPP @t901 @t1092)))) % 3.49/3.71 (assume @p727 (forall @t1097 (= (exists @t8 (and @t1096 @t1095)) (exists @t8 @t1093)))) % 3.49/3.71 (assume @p728 (forall @t1097 (= (forall @t8 (=> @t1096 @t1095)) (forall @t8 @t1093)))) % 3.49/3.71 (assume @p729 (forall @t96 (tptp.hBOOL (tptp.hAPP @t901 @t591)))) % 3.49/3.71 (assume @p730 (tptp.hBOOL (tptp.hAPP @t901 @t686))) % 3.49/3.71 (assume @p731 (forall @t1097 (= @t1102 (exists @t8 (and @t1096 @t1098))))) % 3.49/3.71 (assume @p732 (forall @t1097 (= @t1103 (forall @t8 (=> @t1096 @t1098))))) % 3.49/3.71 (assume @p733 (forall @t614 (=> @t1003 (=> @t1002 (= (= @t1001 @t1000) @t620))))) % 3.49/3.71 (assume @p734 (forall (@list @t1104 @t583) (=> @t1045 (=> (tptp.hBOOL (tptp.hAPP @t901 @t1104)) (= (= @t684 @t1105) (= @t583 @t1104)))))) % 3.49/3.71 (assume @p735 (forall (@list @t306 @t1051 @t638 @t1106) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1106) @t638)) (=> @t1107 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP (tptp.hAPP @t581 @t1106) @t1051)) @t640)))))) % 3.49/3.71 (assume @p736 (forall @t103 (=> @t1050 (=> @t1049 (tptp.hBOOL (tptp.hAPP @t901 @t1046)))))) % 3.49/3.71 (assume @p737 (forall @t103 (= (tptp.hAPP (tptp.hAPP @t674 @t609) @t608) (tptp.hAPP @t576 @t1108)))) % 3.49/3.71 (assume @p738 (forall @t305 (= @t1110 @t1109))) % 3.49/3.71 (assume @p739 (forall @t305 (= @t1109 @t1110))) % 3.49/3.71 (assume @p740 (forall @t587 (= @t987 (exists @t17 (= @t583 (tptp.hAPP @t582 @t665)))))) % 3.49/3.71 (assume @p741 (= @t686 @t1111)) % 3.49/3.71 (assume @p742 (= @t1111 @t686)) % 3.49/3.71 (assume @p743 (= @t773 @t779)) % 3.49/3.71 (assume @p744 (forall @t509 (=> @t508 (=> @t514 (=> @t1059 @t511))))) % 3.49/3.71 (assume @p745 (forall @t509 (=> @t508 (=> @t1060 @t513)))) % 3.49/3.71 (assume @p746 (forall @t285 (=> @t508 (=> @t514 (=> @t974 @t533))))) % 3.49/3.71 (assume @p747 (forall @t285 (=> @t508 (=> @t1060 @t535)))) % 3.49/3.71 (assume @p748 (forall @t509 (=> @t508 (=> @t507 (=> @t1066 @t503))))) % 3.49/3.71 (assume @p749 (forall @t509 (=> @t508 (=> @t1067 @t506)))) % 3.49/3.71 (assume @p750 (forall @t456 (=> @t850 (=> @t1076 @t1112)))) % 3.49/3.71 (assume @p751 (forall @t455 (=> @t850 (=> @t1078 @t1112)))) % 3.49/3.71 (assume @p752 (forall @t456 (=> @t850 @t1114))) % 3.49/3.71 (assume @p753 (forall @t456 (=> @t1115 @t1114))) % 3.49/3.71 (assume @p754 (forall @t455 (=> @t850 @t1116))) % 3.49/3.71 (assume @p755 (forall @t455 (=> @t1115 @t1116))) % 3.49/3.71 (assume @p756 (forall @t376 (=> @t850 (=> @t977 (=> @t452 (=> @t514 @t1118)))))) % 3.49/3.71 (assume @p757 (forall @t376 (=> @t850 (=> @t446 (=> @t1008 (=> @t1060 (=> @t856 @t1117))))))) % 3.49/3.71 (assume @p758 (forall @t376 (=> @t850 (=> @t446 (=> @t452 (=> @t1060 @t1118)))))) % 3.49/3.71 (assume @p759 (forall @t376 (=> @t850 (=> @t446 (=> @t452 (=> @t512 @t1118)))))) % 3.49/3.71 (assume @p760 (forall @t441 (=> @t844 (=> @t840 (= @t1120 @t1119))))) % 3.49/3.71 (assume @p761 (forall @t441 (=> @t844 (=> @t841 (= @t1120 @t1011))))) % 3.49/3.71 (assume @p762 (forall @t623 (=> @t844 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t867) @t331)) @t866)))) % 3.49/3.71 (assume @p763 (forall @t555 (=> @t837 (tptp.hBOOL (tptp.hAPP @t909 @t882))))) % 3.49/3.71 (assume @p764 (forall @t555 (=> @t554 (=> @t1124 (=> @t1123 (=> @t1122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1121) @t101)))))))) % 3.49/3.71 (assume @p765 (forall @t555 (=> @t554 (=> @t1124 (=> @t1123 (=> @t1122 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t805) @t101)))))))) % 3.49/3.71 (assume @p766 (forall @t335 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t892) @t331)) @t500)))) % 3.49/3.71 (assume @p767 (forall @t335 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t515 @t892)) @t516)))) % 3.49/3.71 (assume @p768 (forall @t425 (=> @t1126 (=> @t1125 (tptp.hBOOL (tptp.hAPP @t833 @t772)))))) % 3.49/3.71 (assume @p769 (forall @t425 (=> @t1126 (=> @t1125 (tptp.hBOOL (tptp.hAPP @t411 @t937)))))) % 3.49/3.71 (assume @p770 (forall @t425 (=> @t1126 (=> @t1125 (tptp.hBOOL (tptp.hAPP @t411 @t772)))))) % 3.49/3.71 (assume @p771 (forall @t460 (= (tptp.hBOOL (tptp.hAPP @t1127 @t575)) @t338))) % 3.49/3.71 (assume @p772 (forall @t1130 (= (= @t682 @t199) @t1129))) % 3.49/3.71 (assume @p773 (forall @t644 (=> @t1056 @t1131))) % 3.49/3.71 (assume @p774 (forall @t685 (= (tptp.hBOOL (tptp.hAPP @t1132 @t583)) @t668))) % 3.49/3.71 (assume @p775 (forall @t644 @t1135)) % 3.49/3.71 (assume @p776 (forall @t879 (= (= @t588 @t583) (and (= @t314 @t684) @t1045)))) % 3.49/3.71 (assume @p777 (forall @t644 (and @t1135 (=> (not @t902) (= @t1133 @t575))))) % 3.49/3.71 (assume @p778 (forall @t1136 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t638) @t306)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP @t639 @t686)) @t306))))) % 3.49/3.71 (assume @p779 (forall @t587 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP @t582 @t686)) @t583)) @t586))) % 3.49/3.71 (assume @p780 (forall @t587 (= @t871 @t987))) % 3.49/3.71 (assume @p781 (forall @t468 (= (tptp.hBOOL (tptp.hAPP @t1127 (tptp.hAPP @t677 @t588))) @t868))) % 3.49/3.71 (assume @p782 (forall @t96 (tptp.hBOOL (tptp.hAPP @t917 @t575)))) % 3.49/3.71 (assume @p783 (forall @t913 (=> (tptp.class_Rings_Olinordered__semiring__1 @t66) (=> @t1137 (=> (tptp.hBOOL (tptp.hAPP @t961 @t249)) (=> @t911 (=> @t910 (=> @t907 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t906) @t249)))))))))) % 3.49/3.71 (assume @p784 (forall @t587 (=> @t903 @t877))) % 3.49/3.71 (assume @p785 (forall @t614 (=> @t1003 (=> @t1002 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1001) @t1000)) @t1139))))) % 3.49/3.71 (assume @p786 (forall @t904 (= (= @t874 @t314) @t1140))) % 3.49/3.71 (assume @p787 (forall (@list @t580 @t314) (= (= @t314 @t874) @t1140))) % 3.49/3.71 (assume @p788 (forall @t1054 (=> @t902 (=> @t1141 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t641 @t1051)) (tptp.hAPP (tptp.hAPP @t260 @t899) @t1052)))))) % 3.49/3.71 (assume @p789 (forall @t103 (=> @t1050 (=> @t1049 (= (tptp.hAPP (tptp.hAPP @t260 @t1048) @t1047) (tptp.hAPP tptp.c_Int_Onat @t1091)))))) % 3.49/3.71 (assume @p790 (forall @t644 (=> @t902 (tptp.hBOOL (tptp.hAPP @t594 @t870))))) % 3.49/3.71 (assume @p791 (forall @t96 (not (tptp.hBOOL (tptp.hAPP @t901 @t678))))) % 3.49/3.71 (assume @p792 (forall @t766 (=> @t764 (=> @t902 (= (tptp.hAPP @t595 @t899) @t762))))) % 3.49/3.71 (assume @p793 (forall @t329 (=> @t554 (=> @t514 (= @t891 @t688))))) % 3.49/3.71 (assume @p794 (forall @t1149 (=> @t1148 (=> @t1147 (=> @t1144 (tptp.hBOOL (tptp.hAPP @t1143 @t686))))))) % 3.49/3.71 (assume @p795 (forall @t1149 (=> @t1148 (=> @t1147 (=> (tptp.hBOOL (tptp.hAPP @t1150 @t249)) (tptp.hBOOL (tptp.hAPP @t1132 @t1142))))))) % 3.49/3.71 (assume @p796 (forall @t1158 (=> @t1157 (=> @t1155 (=> @t1152 (tptp.hBOOL (tptp.hAPP @t901 @t1151))))))) % 3.49/3.71 (assume @p797 (forall @t1158 (=> @t1161 (=> @t1160 (=> @t1152 (tptp.hBOOL (tptp.hAPP @t1159 @t575))))))) % 3.49/3.71 (assume @p798 (forall @t1167 (=> @t1166 (=> @t1160 (=> (tptp.hBOOL (tptp.hAPP @t1154 @t272)) (=> @t1163 @t1162)))))) % 3.49/3.71 (assume @p799 (forall @t1171 (=> @t1170 (=> @t1157 (=> @t1155 (=> @t1144 (=> @t1152 (=> @t1169 @t1168)))))))) % 3.49/3.71 (assume @p800 (forall @t1167 (=> @t1166 (=> @t1174 (=> @t1173 (=> (tptp.hBOOL (tptp.hAPP @t1172 @t1153)) @t1168)))))) % 3.49/3.71 (assume @p801 (forall @t1171 (=> @t1170 (=> @t1161 (=> @t1163 (=> @t1160 (=> @t1152 (=> @t1169 @t1162)))))))) % 3.49/3.71 (assume @p802 (forall @t320 (=> @t989 (= @t994 @t942)))) % 3.49/3.71 (assume @p803 (forall @t96 (tptp.hBOOL (tptp.hAPP @t1036 @t65)))) % 3.49/3.71 (assume @p804 (forall @t305 (or @t1025 @t1044))) % 3.49/3.71 (assume @p805 (forall @t305 (=> @t422 @t1025))) % 3.49/3.71 (assume @p806 (forall @t478 (=> @t925 (=> (tptp.hBOOL (tptp.hAPP @t1175 @t311)) (tptp.hBOOL (tptp.hAPP @t924 @t311)))))) % 3.49/3.71 (assume @p807 (forall @t305 (=> @t1025 (=> @t1044 @t422)))) % 3.49/3.71 (assume @p808 (forall @t960 (=> @t959 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t956) @t2) @t1)) (and @t958 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t957 @t1) @t2)))))))) % 3.49/3.71 (assume @p809 (forall @t320 (= @t1014 (or @t1012 @t315)))) % 3.49/3.71 (assume @p810 (forall (@list @t311 @t473 @t231 @t471) (= (tptp.hAPP @t1177 (tptp.hAPP @t1176 @t311)) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t481) @t231)) @t311)))) % 3.49/3.71 (assume @p811 (forall @t320 (=> @t989 (= @t1014 @t315)))) % 3.49/3.71 (assume @p812 (forall @t320 (=> @t989 (= @t1086 @t421)))) % 3.49/3.71 (assume @p813 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t901)) % 3.49/3.71 (assume @p814 (forall @t623 (=> @t1180 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1179) @t1178)) @t966)))) % 3.49/3.71 (assume @p815 (forall @t555 (=> @t1182 (=> @t963 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1181) @t768)))))) % 3.49/3.71 (assume @p816 (forall (@list @t19 @t55) (=> @t1189 (=> @t1188 (exists @t524 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t522) @t19)) (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t1186 @t522)) (not @t1185))) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t260 @t522) @t773))))))))) % 3.49/3.71 (assume @p817 (forall (@list @t100 @t1196 @t1190 @t542) (=> (= @t542 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1197 @t1196)) @t100)) (=> (and (=> @t1194 (and @t1049 (tptp.hBOOL (tptp.hAPP @t648 @t1190)))) (=> @t1195 (and (tptp.hBOOL (tptp.hAPP @t1193 @t100)) (tptp.hBOOL (tptp.hAPP @t1192 @t575))))) (=> @t1191 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t542 @t1190) @t100)))))) % 3.49/3.71 (assume @p818 (forall @t1200 (=> @t1199 (=> @t1173 (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1198) @t575))))))) % 3.49/3.71 (assume @p819 (forall @t1200 (=> @t1199 (=> @t1173 (=> @t1174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1201) @t1198))))))) % 3.49/3.71 (assume @p820 (forall @t1202 (=> @t1199 (=> @t1144 (=> @t1163 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1198) @t1201))))))) % 3.49/3.71 (assume @p821 (forall @t509 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t1203 @t272) @t1203)))) % 3.49/3.71 (assume @p822 (forall @t329 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t326 @t249) @t326)))) % 3.49/3.71 (assume @p823 (forall @t329 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t249 @t326) @t249)))) % 3.49/3.71 (assume @p824 (forall @t329 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t249 @t249) @t326)))) % 3.49/3.71 (assume @p825 (forall @t509 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t283 @t272) @t1203)))) % 3.49/3.71 (assume @p826 (forall @t663 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t278 @t272) @t1203)))) % 3.49/3.71 (assume @p827 (forall @t285 (=> @t1204 (= @t1207 @t1206)))) % 3.49/3.71 (assume @p828 (forall @t285 (=> @t1204 (= @t1207 @t1210)))) % 3.49/3.71 (assume @p829 (forall @t285 (=> @t1204 (= @t1207 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1209 @t1205) @t87))))) % 3.49/3.71 (assume @p830 (forall @t285 (=> @t1204 (= @t1206 @t1207)))) % 3.49/3.71 (assume @p831 (forall @t455 (=> @t1204 (= @t1210 @t1207)))) % 3.49/3.71 (assume @p832 (forall @t1213 (=> @t1204 (=> @t1212 (=> @t1211 (= @t1207 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP (tptp.hAPP @t274 @t360) @t541) @t87))))))) % 3.49/3.71 (assume @p833 (forall @t285 (=> @t1204 (= @t1214 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t692 @t1205) @t87))))) % 3.49/3.71 (assume @p834 (forall @t285 (=> @t1204 (= @t1214 @t1216)))) % 3.49/3.71 (assume @p835 (forall @t285 (=> @t1204 (= @t1214 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1215 @t1205) @t87))))) % 3.49/3.71 (assume @p836 (forall @t456 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t859 @t858) (tptp.hAPP @t857 @t1203))))) % 3.49/3.71 (assume @p837 (forall @t455 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t815 @t725) (tptp.hAPP (tptp.hAPP @t690 @t1203) @t87))))) % 3.49/3.71 (assume @p838 (forall @t455 (=> @t1204 (= @t1216 @t1214)))) % 3.49/3.71 (assume @p839 (forall @t1213 (=> @t1204 (=> @t1212 (=> @t1211 (= @t1214 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP (tptp.hAPP @t690 @t360) @t541) @t87))))))) % 3.49/3.71 (assume @p840 (forall @t509 (=> @t1218 (= @t1217 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t716 @t1203) @t272))))) % 3.49/3.71 (assume @p841 (forall (@list @t360 @t272 @t249 @t66) (=> @t1218 (=> (= @t1203 (tptp.c_Divides_Odiv__class_Omod @t66 @t360 @t272)) (= @t1217 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t716 @t360) @t272)))))) % 3.49/3.71 (assume @p842 (forall @t1219 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t575 @t272) @t575))) % 3.49/3.71 (assume @p843 (forall @t250 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t249) @t575))) % 3.49/3.71 (assume @p844 (forall @t1225 (= @t1224 @t1221))) % 3.49/3.71 (assume @p845 (forall @t1225 (= @t1221 @t1224))) % 3.49/3.71 (assume @p846 (forall (@list @t235 @t101) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t677 @t1226) @t235) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t677 @t101) @t235)))) % 3.49/3.71 (assume @p847 (forall @t1230 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1229 @t1228) (tptp.hAPP @t677 @t1227)))) % 3.49/3.71 (assume @p848 (forall @t1230 (= @t1232 (tptp.hAPP @t677 @t1231)))) % 3.49/3.71 (assume @p849 (forall @t509 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t715 @t272) @t326)))) % 3.49/3.71 (assume @p850 (forall @t663 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t760 @t272) @t326)))) % 3.49/3.71 (assume @p851 (forall @t285 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t1233 @t272) @t1203)))) % 3.49/3.71 (assume @p852 (forall @t455 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t1234 @t272) @t1203)))) % 3.49/3.71 (assume @p853 (forall @t329 (=> @t1204 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t249 @t688) @t326)))) % 3.49/3.71 (assume @p854 (forall @t1236 (=> @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t235 @t311)) @t235))))) % 3.49/3.71 (assume @p855 (forall @t103 (=> @t1050 (=> @t1049 (tptp.hBOOL (tptp.hAPP @t901 @t1237)))))) % 3.49/3.71 (assume @p856 (forall @t1240 (=> @t1239 @t1238))) % 3.49/3.71 (assume @p857 (forall @t1240 (=> @t1242 @t1241))) % 3.49/3.71 (assume @p858 (forall @t1245 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t314 @t809) @t575) (exists @t1244 (= @t314 (tptp.hAPP (tptp.hAPP @t674 @t809) @t1243)))))) % 3.49/3.71 (assume @p859 (forall @t1250 (=> (not (= @t1249 @t575)) @t1247))) % 3.49/3.71 (assume @p860 (forall @t1250 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t776 @t485) @t575)) @t1247))) % 3.49/3.71 (assume @p861 (forall @t1230 (=> @t1254 (=> @t1252 @t1251)))) % 3.49/3.71 (assume @p862 (forall @t1240 (=> @t1239 (and @t1255 @t1238)))) % 3.49/3.71 (assume @p863 (forall @t1240 (=> @t1239 @t1255))) % 3.49/3.71 (assume @p864 (forall @t1230 (=> @t1258 (=> @t1257 @t1251)))) % 3.49/3.71 (assume @p865 (forall @t1240 (=> @t1242 (and @t1259 @t1241)))) % 3.49/3.71 (assume @p866 (forall @t1240 (=> @t1242 @t1259))) % 3.49/3.71 (assume @p867 (forall @t509 (=> @t1260 (= (tptp.hAPP @t692 @t715) @t715)))) % 3.49/3.71 (assume @p868 (forall @t353 (=> @t1260 (= @t881 @t101)))) % 3.49/3.71 (assume @p869 (forall @t329 (=> @t1260 (= @t836 @t249)))) % 3.49/3.71 (assume @p870 (forall @t623 (=> @t1180 (= (= @t1179 @t1178) @t620)))) % 3.49/3.71 (assume @p871 (forall (@list @t349 @t1261 @t92 @t10) (=> (tptp.class_Groups_Ouminus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t1263) @t1261) @t349) (tptp.hAPP @t700 @t1262))))) % 3.49/3.71 (assume @p872 (forall @t353 (=> @t1182 (= (tptp.hAPP @t716 @t768) @t101)))) % 3.49/3.71 (assume @p873 (forall @t1230 (=> @t1148 (=> @t1266 (= @t1227 @t1265))))) % 3.49/3.71 (assume @p874 (forall @t1279 (= (tptp.hBOOL (tptp.hAPP @t55 @t1278)) (and (=> @t1277 @t1188) (=> @t1276 (forall @t1272 (=> @t1275 @t1267))) (=> @t1274 (forall @t1272 (=> @t1271 @t1267))))))) % 3.49/3.71 (assume @p875 (forall @t1202 (=> @t1199 (=> @t1144 (=> @t1163 (tptp.hBOOL (tptp.hAPP @t901 @t1198))))))) % 3.49/3.71 (assume @p876 (forall @t1283 (and (=> @t1281 (= @t1280 @t1246)) (=> @t1282 (= @t1280 @t1249))))) % 3.49/3.71 (assume @p877 (forall @t1288 (=> @t1276 (= @t1287 (forall @t1272 (=> @t1275 @t1284)))))) % 3.49/3.71 (assume @p878 (forall @t1288 (=> @t1274 (= @t1287 (forall @t1272 (=> @t1271 @t1284)))))) % 3.49/3.71 (assume @p879 (forall @t1291 (=> @t1199 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t1201) (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1164 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1290 @t87))) @t1227))))) % 3.49/3.71 (assume @p880 (forall @t103 (=> @t1050 (=> @t1049 (tptp.hBOOL (tptp.hAPP @t901 @t1292)))))) % 3.49/3.71 (assume @p881 (forall @t1279 (= (tptp.hBOOL @t1286) (and (=> @t1277 @t1293) (=> @t1276 (forall @t1187 (=> (exists @t519 @t1275) @t1185))) (=> @t1274 (forall @t1187 (=> (exists @t519 @t1271) @t1185))))))) % 3.49/3.71 (assume @p882 (forall (@list @t1294 @t100 @t1190 @t542) (=> (= @t542 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1197 @t100)) @t1294)) (=> (and (=> @t1194 (and (tptp.hBOOL (tptp.hAPP @t901 @t1294)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1294) @t1190)))) (=> @t1195 (and (tptp.hBOOL (tptp.hAPP @t1193 @t1294)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1294) @t575))))) (=> @t1191 (= (tptp.hAPP (tptp.hAPP @t1285 @t542) @t1190) @t100)))))) % 3.49/3.71 (assume @p883 (forall (@list @t19 @t314 @t55) (= (tptp.hBOOL (tptp.hAPP @t55 @t1296)) (or (and @t338 @t680) (exists @t1244 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t995 @t1243)) @t314)) (tptp.hBOOL (tptp.hAPP @t420 (tptp.hAPP @t995 (tptp.hAPP tptp.c_Nat_OSuc @t1243)))) (tptp.hBOOL (tptp.hAPP @t55 @t1243)))))))) % 3.49/3.71 (assume @p884 (forall @t1225 (= (tptp.hAPP (tptp.hAPP @t1295 @t1300) @t87) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t1299 @t87)) @t1298)) (tptp.hAPP (tptp.hAPP @t1295 (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t249 @t87)) @t1297)) @t87))))) % 3.49/3.71 (assume @p885 (forall @t103 (= (tptp.hAPP (tptp.hAPP @t1285 @t609) @t608) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t1295 @t101) @t100))))) % 3.49/3.71 (assume @p886 (forall @t1230 (= (tptp.hAPP @t576 @t1303) (tptp.hAPP (tptp.hAPP @t1285 @t1302) @t1301)))) % 3.49/3.71 (assume @p887 (forall @t1225 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t249 @t1306) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t1305 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1303 @t87))) @t1304)))) % 3.49/3.71 (assume @p888 (forall @t1225 (= (tptp.hAPP (tptp.hAPP @t1295 @t1308) @t87) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t1307 @t1298)) (tptp.hAPP (tptp.hAPP @t1295 (tptp.hAPP @t1307 @t1297)) @t87))))) % 3.49/3.71 (assume @p889 (forall @t313 (=> @t1025 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t1310 @t311)) (tptp.hAPP @t1309 @t311)))))) % 3.49/3.71 (assume @p890 (forall @t305 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1311) @t235)))) % 3.49/3.71 (assume @p891 (forall @t1219 (= (tptp.hAPP (tptp.hAPP @t1285 @t575) @t272) @t575))) % 3.49/3.71 (assume @p892 (forall @t305 (= @t1314 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1313 @t65)))) % 3.49/3.71 (assume @p893 (forall @t1225 (= (tptp.hAPP @t1299 @t1306) (tptp.hAPP (tptp.hAPP @t1295 @t1303) @t87)))) % 3.49/3.71 (assume @p894 (forall @t305 @t1315)) % 3.49/3.71 (assume @p895 (forall @t305 (tptp.hBOOL (tptp.hAPP @t1316 @t235)))) % 3.49/3.71 (assume @p896 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t770 @t1312) @t311) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1024 @t931)))) % 3.49/3.71 (assume @p897 (forall @t1023 (= (tptp.hAPP @t926 @t1312) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1022 @t1021)))) % 3.49/3.71 (assume @p898 (forall @t1230 (= @t1319 @t1318))) % 3.49/3.71 (assume @p899 (forall @t1230 (= (tptp.hAPP @t1317 @t1228) @t1290))) % 3.49/3.71 (assume @p900 (forall @t329 (=> @t1204 (= (tptp.hAPP (tptp.hAPP @t1320 @t326) @t249) @t326)))) % 3.49/3.71 (assume @p901 (forall @t329 (=> @t1204 (= (tptp.hAPP @t1321 @t326) @t326)))) % 3.49/3.71 (assume @p902 (forall @t329 (=> @t1204 (= (tptp.hAPP @t1321 @t688) @t249)))) % 3.49/3.71 (assume @p903 (forall @t103 (=> @t1050 (= @t1325 @t1322)))) % 3.49/3.71 (assume @p904 (forall @t103 (=> @t1050 (=> @t1049 (= @t1322 @t1325))))) % 3.49/3.71 (assume @p905 (forall @t237 (= (tptp.hAPP @t1310 @t259) @t235))) % 3.49/3.71 (assume @p906 (forall @t305 @t1326)) % 3.49/3.71 (assume @p907 (forall @t1023 (and (=> @t1329 (= @t1327 @t199)) (=> (not @t1329) @t1328)))) % 3.49/3.71 (assume @p908 (forall @t305 (and (=> @t1330 (= @t1314 @t199)) (=> (not @t1330) (= @t1314 @t1313))))) % 3.49/3.71 (assume @p909 (forall @t237 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t235 @t259) @t199))) % 3.49/3.71 (assume @p910 (forall @t103 (=> @t1050 (=> @t1049 (tptp.hBOOL (tptp.hAPP @t901 @t1324)))))) % 3.49/3.71 (assume @p911 (forall @t425 (=> @t457 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1312) @t65))))) % 3.49/3.71 (assume @p912 (forall @t1337 (=> @t1336 (= @t1334 (tptp.hBOOL (tptp.hAPP @t1331 @t575)))))) % 3.49/3.71 (assume @p913 (forall @t1337 (=> @t1339 (= @t1334 (tptp.hBOOL (tptp.hAPP @t594 @t168)))))) % 3.49/3.71 (assume @p914 (forall @t1230 (=> @t1340 (=> @t1242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1290) @t575)))))) % 3.49/3.71 (assume @p915 (forall @t250 (=> @t1342 (= (tptp.hAPP @t1289 @t249) @t686)))) % 3.49/3.71 (assume @p916 (forall @t1245 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t314 @t809) @t199) (exists @t1244 (= @t314 (tptp.hAPP (tptp.hAPP @t770 @t809) @t1243)))))) % 3.49/3.71 (assume @p917 (forall @t250 (and (= (tptp.hAPP @t1289 @t575) @t575) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t575) @t249)))) % 3.49/3.71 (assume @p918 (forall @t1230 (= (tptp.hAPP (tptp.hAPP @t1285 @t1227) @t272) @t575))) % 3.49/3.71 (assume @p919 (forall @t1344 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1343 @t65) @t1312))) % 3.49/3.71 (assume @p920 (forall @t1225 (= (tptp.hAPP (tptp.hAPP @t1285 @t1265) @t87) (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1289 @t87)) @t1346)) (tptp.hAPP (tptp.hAPP @t1285 (tptp.hAPP (tptp.hAPP @t581 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t87)) @t1222)) @t87))))) % 3.49/3.71 (assume @p921 (forall @t103 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t609 @t608) (tptp.hAPP @t576 @t1347)))) % 3.49/3.71 (assume @p922 (forall @t1230 (= (tptp.hAPP @t576 @t1304) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1302 @t1301)))) % 3.49/3.71 (assume @p923 (forall @t456 (=> @t1204 @t1352))) % 3.49/3.71 (assume @p924 (forall @t456 (=> @t1204 (=> @t1351 (= (tptp.hAPP (tptp.hAPP @t1320 @t815) @t725) @t1348))))) % 3.49/3.71 (assume @p925 (forall @t663 (=> @t1204 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t1320 @t760) @t272) @t249))))) % 3.49/3.71 (assume @p926 (forall @t663 (=> @t1204 (=> @t798 (= (tptp.hAPP @t1353 @t272) @t249))))) % 3.49/3.71 (assume @p927 (forall @t456 (=> @t1204 (and (=> @t1350 (= @t1349 @t326)) @t1352)))) % 3.49/3.71 (assume @p928 (forall @t329 (=> @t1204 (=> @t800 (= (tptp.hAPP @t1321 @t249) @t688))))) % 3.49/3.71 (assume @p929 (forall @t509 (=> @t1204 (= (tptp.hAPP (tptp.hAPP @t1320 @t1203) @t272) @t326)))) % 3.49/3.71 (assume @p930 (forall @t313 (=> @t1355 (=> @t1025 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t1354 @t65)) (tptp.hAPP @t1354 @t235))))))) % 3.49/3.71 (assume @p931 (forall @t425 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t1295 @t772) @t65) @t235)))) % 3.49/3.71 (assume @p932 (forall @t425 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t1295 @t937) @t65) @t235)))) % 3.49/3.71 (assume @p933 (forall @t1023 (=> @t676 @t1328))) % 3.49/3.71 (assume @p934 (forall @t425 (=> @t1357 (=> @t1355 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1311) @t235)))))) % 3.49/3.71 (assume @p935 (forall @t1359 (= (= @t1358 @t575) (or @t1277 (and (tptp.hBOOL (tptp.hAPP @t901 @t143)) (tptp.hBOOL (tptp.hAPP @t681 @t316))) (and @t1129 (tptp.hBOOL (tptp.hAPP @t1270 @t143))))))) % 3.49/3.71 (assume @p936 (forall @t1337 (=> @t1336 (= @t1361 @t1360)))) % 3.49/3.71 (assume @p937 (forall (@list @t143 @t316) (=> @t1276 (= (tptp.hBOOL (tptp.hAPP @t594 @t1358)) (tptp.hBOOL (tptp.hAPP @t1362 @t143)))))) % 3.49/3.71 (assume @p938 (forall @t1364 (=> @t1360 (= (tptp.hBOOL (tptp.hAPP @t594 @t1333)) (and (tptp.hBOOL (tptp.hAPP @t1363 @t168)) @t1336))))) % 3.49/3.71 (assume @p939 (forall @t1367 (=> @t1258 (=> @t1152 (=> @t1169 (tptp.hBOOL (tptp.hAPP @t1366 @t1365))))))) % 3.49/3.71 (assume @p940 (forall @t1230 (=> @t1258 (=> @t1239 @t1368)))) % 3.49/3.71 (assume @p941 (forall @t1230 (=> @t1258 (=> @t1257 @t1369)))) % 3.49/3.71 (assume @p942 (forall @t1337 (=> @t1339 (= @t1361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t168) @t575)))))) % 3.49/3.71 (assume @p943 (forall @t1230 (=> @t1254 (=> @t1242 @t1368)))) % 3.49/3.71 (assume @p944 (forall @t1367 (=> @t1340 (=> @t1152 (=> @t1169 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1365) @t1290))))))) % 3.49/3.71 (assume @p945 (forall @t1230 (=> @t1254 (=> @t1252 @t1369)))) % 3.49/3.71 (assume @p946 (forall @t1372 (=> @t1371 (=> @t1242 (tptp.hBOOL (tptp.hAPP @t1366 @t1370)))))) % 3.49/3.71 (assume @p947 (forall @t1372 (=> @t1371 (=> @t1239 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1370) @t1290)))))) % 3.49/3.71 (assume @p948 (forall @t425 (=> @t457 (tptp.hBOOL (tptp.hAPP @t1316 @t65))))) % 3.49/3.71 (assume @p949 (forall (@list @t311 @t101) (=> (tptp.hBOOL (tptp.hAPP @t594 @t101)) (=> (tptp.hBOOL (tptp.hAPP @t832 @t311)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP @t1323 @t311)) @t101)))))) % 3.49/3.71 (assume @p950 (forall @t1291 (=> @t1199 (= (tptp.hAPP @t1289 @t1201) (tptp.hAPP (tptp.hAPP @t1285 @t1290) @t87))))) % 3.49/3.71 (assume @p951 (forall @t1344 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1343) @t65) @t1314))) % 3.49/3.71 (assume @p952 (forall (@list @t311 @t272 @t249) (= (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t674 @t1290) @t272)) @t1227)) @t311) @t1373))) % 3.49/3.71 (assume @p953 (forall (@list @t311 @t249 @t272) (= (tptp.hAPP (tptp.hAPP @t581 @t1374) @t311) @t1373))) % 3.49/3.71 (assume @p954 (forall @t1225 (= (tptp.hAPP (tptp.hAPP @t1285 @t1220) @t87) (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1145 @t1346)) (tptp.hAPP (tptp.hAPP @t1285 @t1223) @t87))))) % 3.49/3.71 (assume @p955 (forall @t1230 (= @t249 @t1374))) % 3.49/3.71 (assume @p956 (forall @t280 (=> @t1204 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t1320 @t1234) @t272) @t1375))))) % 3.49/3.71 (assume @p957 (forall @t280 (=> @t1204 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t1320 @t1233) @t272) @t1375))))) % 3.49/3.71 (assume @p958 (forall @t663 (=> @t1204 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t1320 @t278) @t272) @t1376))))) % 3.49/3.71 (assume @p959 (forall @t663 (=> @t1204 (=> @t798 (= (tptp.hAPP (tptp.hAPP @t1320 @t283) @t272) @t1376))))) % 3.49/3.71 (assume @p960 (forall @t285 (=> @t1204 (= (tptp.hAPP (tptp.hAPP @t274 @t1378) @t87) @t282)))) % 3.49/3.71 (assume @p961 (forall @t280 (=> @t1204 (= (tptp.hAPP (tptp.hAPP @t274 @t1379) @t87) @t282)))) % 3.49/3.71 (assume @p962 (forall @t509 (=> @t1204 (= @t1378 @t249)))) % 3.49/3.71 (assume @p963 (forall @t663 (=> @t1204 (= @t1379 @t249)))) % 3.49/3.71 (assume @p964 (forall @t509 (=> @t1204 (= (tptp.hAPP (tptp.hAPP @t274 @t1203) @t1377) @t249)))) % 3.49/3.71 (assume @p965 (forall @t1279 (= (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t1295 @t19) @t316))) (and (=> @t1012 @t680) (=> @t1382 (forall @t1272 (=> @t1381 (=> @t1380 @t1185)))))))) % 3.49/3.71 (assume @p966 (forall @t1202 (=> @t1384 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t863) @t272)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1383) @t1306)))))) % 3.49/3.71 (assume @p967 (forall @t1279 (= (tptp.hBOOL (tptp.hAPP @t55 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t19 @t316))) (and (=> @t1012 @t1188) (=> @t1382 (forall @t1272 (=> @t1381 (=> @t1380 @t1267)))))))) % 3.49/3.71 (assume @p968 (forall (@list @t235 @t311) (=> (tptp.hBOOL (tptp.hAPP @t1356 @t311)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1022) @t311) @t773)))) % 3.49/3.71 (assume @p969 (forall @t103 (=> @t1050 (=> @t1049 (= @t1386 @t1385))))) % 3.49/3.71 (assume @p970 (forall @t103 (=> @t1050 (=> @t1049 (= @t1385 @t1386))))) % 3.49/3.71 (assume @p971 (forall (@list @t314 @t1387 @t19) (=> @t458 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t995 @t1387)) @t314)) (tptp.hBOOL (tptp.hAPP @t420 (tptp.hAPP @t995 (tptp.hAPP tptp.c_Nat_OSuc @t1387))))) (= @t1387 @t1296))))) % 3.49/3.71 (assume @p972 (forall @t1283 (and (=> @t1281 (= @t1389 @t1390)) (=> @t1282 (= @t1389 (tptp.hAPP @t677 (tptp.hAPP @t1388 @t1248))))))) % 3.49/3.71 (assume @p973 (forall @t1240 (=> @t1396 (and (=> @t1394 (= @t1318 @t1391)) (=> @t1395 (= @t1318 @t1393)))))) % 3.49/3.71 (assume @p974 (forall @t1240 (=> @t1396 (and (=> @t1394 (= @t1319 @t1391)) (=> @t1395 (= @t1319 @t1393)))))) % 3.49/3.71 (assume @p975 (forall @t425 (=> @t457 (=> @t1044 @t1401)))) % 3.49/3.71 (assume @p976 (forall @t509 (=> @t1204 (= @t249 @t1378)))) % 3.49/3.71 (assume @p977 (forall @t103 (=> @t1050 (=> @t1049 (= (tptp.hAPP (tptp.hAPP @t1397 @t1048) @t1047) (tptp.hAPP tptp.c_Int_Onat @t1292)))))) % 3.49/3.71 (assume @p978 (forall @t1407 (=> @t1406 (=> (forall @t8 (=> @t1095 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t1403 @t809))))) (=> @t1405 (forall @t8 (=> @t1095 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t1403 @t1402)))))))))) % 3.49/3.71 (assume @p979 (forall @t555 (=> @t1410 (=> (forall @t1409 (=> (tptp.hBOOL (tptp.hAPP @t510 @t1408)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1408) @t688)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 (tptp.hAPP (tptp.hAPP @t690 @t1408) @t101)) @t100))))) @t963)))) % 3.49/3.71 (assume @p980 (forall @t478 (= @t1413 (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP @t1411 @t311)) @t473)))) % 3.49/3.71 (assume @p981 (forall @t814 (=> @t1417 (=> @t1416 (= @t703 @t812))))) % 3.49/3.71 (assume @p982 (forall @t765 (=> @t764 (= (tptp.hAPP @t761 (tptp.hAPP (tptp.hAPP @t1392 @t638) @t306)) (tptp.hAPP (tptp.hAPP @t1418 @t763) @t762))))) % 3.49/3.71 (assume @p983 (forall (@list @t349 @t1419 @t1261 @t92 @t10) (=> (tptp.class_Groups_Ominus @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1263) @t1261) @t1419) @t349) (tptp.hAPP (tptp.hAPP @t1414 @t1262) @t1420))))) % 3.49/3.71 (assume @p984 (forall (@list @t235 @t65 @t66) (=> @t764 (=> @t1044 (= (tptp.hAPP @t595 @t1399) (tptp.hAPP (tptp.hAPP @t1418 @t596) @t600)))))) % 3.49/3.71 (assume @p985 (forall @t425 (=> @t1044 (= (tptp.hAPP (tptp.hAPP @t1392 @t592) @t591) (tptp.hAPP @t576 @t1399))))) % 3.49/3.71 (assume @p986 (forall @t814 (=> @t784 (=> @t1416 (= @t1011 @t1422))))) % 3.49/3.71 (assume @p987 (forall @t708 (=> @t727 (= @t1423 @t703)))) % 3.49/3.71 (assume @p988 (forall @t708 (=> @t1417 (= @t703 @t1423)))) % 3.49/3.71 (assume @p989 (forall @t329 (=> @t732 (= (tptp.hAPP @t1424 @t249) @t326)))) % 3.49/3.71 (assume @p990 (forall @t329 (=> @t732 (= (tptp.hAPP @t1424 @t326) @t249)))) % 3.49/3.71 (assume @p991 (forall @t814 (=> @t784 (=> @t1416 (= @t436 @t1425))))) % 3.49/3.71 (assume @p992 (forall @t509 (=> @t732 (= (tptp.hAPP @t1426 @t272) @t249)))) % 3.49/3.71 (assume @p993 (forall @t509 (=> @t732 (= (tptp.hAPP (tptp.hAPP @t274 @t1427) @t272) @t249)))) % 3.49/3.71 (assume @p994 (forall @t509 (=> @t790 (= (tptp.hAPP @t716 @t1427) @t1429)))) % 3.49/3.71 (assume @p995 (forall @t285 (=> @t1218 (= @t1430 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1424 @t1205) @t87))))) % 3.49/3.71 (assume @p996 (forall @t285 (=> @t1218 (= @t1430 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1431 @t272) @t87))))) % 3.49/3.71 (assume @p997 (forall @t285 (=> @t1218 (= @t1430 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP @t1431 @t1205) @t87))))) % 3.49/3.71 (assume @p998 (forall @t1213 (=> @t1218 (=> @t1212 (=> @t1211 (= @t1430 (tptp.c_Divides_Odiv__class_Omod @t66 (tptp.hAPP (tptp.hAPP @t1418 @t360) @t541) @t87))))))) % 3.49/3.71 (assume @p999 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t1397 @t199) @t65) @t199))) % 3.49/3.71 (assume @p1000 (forall @t237 (= (tptp.hAPP @t1398 @t199) @t235))) % 3.49/3.71 (assume @p1001 (forall @t237 (= (tptp.hAPP @t1398 @t235) @t199))) % 3.49/3.71 (assume @p1002 (forall @t305 (=> @t1434 (=> (= @t1433 @t199) @t422)))) % 3.49/3.71 (assume @p1003 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t1397 @t1436) (tptp.hAPP tptp.c_Nat_OSuc @t311)) (tptp.hAPP (tptp.hAPP @t1397 @t1399) @t311)))) % 3.49/3.71 (assume @p1004 (forall @t305 (= (tptp.hAPP @t1435 @t67) @t1399))) % 3.49/3.71 (assume @p1005 (forall (@list @t65 @t311 @t473) (=> @t475 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP @t1437 @t65)) @t311))))) % 3.49/3.71 (assume @p1006 (forall @t1441 (=> @t415 (=> (tptp.hBOOL (tptp.hAPP @t414 @t485)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1440) @t1439)))))) % 3.49/3.71 (assume @p1007 (forall @t305 (and @t1315 @t1444))) % 3.49/3.71 (assume @p1008 (forall @t305 @t1444)) % 3.49/3.71 (assume @p1009 (forall @t305 (= (tptp.hAPP (tptp.hAPP @t1397 @t304) @t65) @t235))) % 3.49/3.71 (assume @p1010 (forall @t425 (= (tptp.hAPP @t1445 @t65) @t235))) % 3.49/3.71 (assume @p1011 (forall @t478 (= @t1413 (tptp.hAPP @t1411 @t493)))) % 3.49/3.71 (assume @p1012 (forall @t1023 (= (tptp.hAPP (tptp.hAPP @t1397 @t1446) @t484) @t1399))) % 3.49/3.71 (assume @p1013 (forall @t1041 (= (tptp.hAPP @t1447 @t312) @t1399))) % 3.49/3.71 (assume @p1014 (forall @t320 (=> @t1454 (=> @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1451) @t1449)) @t942))))) % 3.49/3.71 (assume @p1015 (forall @t1023 (=> (tptp.hBOOL (tptp.hAPP @t922 @t235)) (=> @t1038 (= (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP @t1398 @t311)) (tptp.hAPP @t1432 @t311)) @t1399))))) % 3.49/3.71 (assume @p1016 (forall @t320 (=> @t1454 (=> @t1453 (= (= @t1451 @t1449) @t315))))) % 3.49/3.71 (assume @p1017 (forall @t885 (=> (tptp.hBOOL (tptp.hAPP @t924 @t65)) (= (tptp.hAPP @t1432 @t1455) @t471)))) % 3.49/3.71 (assume @p1018 (forall @t1441 (=> @t1025 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t1398 @t485)) (tptp.hAPP @t1432 @t485)))))) % 3.49/3.71 (assume @p1019 (forall @t1441 (=> @t1025 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1440) @t1439))))) % 3.49/3.71 (assume @p1020 (forall @t305 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1399) @t235)))) % 3.49/3.71 (assume @p1021 (forall @t425 (=> @t1044 @t1443))) % 3.49/3.71 (assume @p1022 (forall @t827 (= (tptp.hAPP @t758 @t1456) (tptp.hAPP (tptp.hAPP @t1392 @t826) @t825)))) % 3.49/3.71 (assume @p1023 (forall @t830 (= (tptp.hAPP (tptp.hAPP @t674 @t1456) @t638) (tptp.hAPP (tptp.hAPP @t1392 @t829) @t828)))) % 3.49/3.71 (assume @p1024 (forall @t313 (= (tptp.hAPP (tptp.hAPP @t770 @t1399) @t311) (tptp.hAPP (tptp.hAPP @t1397 @t1024) @t931)))) % 3.49/3.71 (assume @p1025 (forall @t1023 (= (tptp.hAPP @t926 @t1399) (tptp.hAPP (tptp.hAPP @t1397 @t1022) @t1021)))) % 3.49/3.71 (assume @p1026 (forall (@list @t235 @t100 @t101) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1457 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t100 @t235)) @t235) @t1459))) % 3.49/3.71 (assume @p1027 (forall @t1460 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1392 @t1226) @t100) @t235) @t1459))) % 3.49/3.71 (assume @p1028 (forall (@list @t306 @t1051) (=> @t1141 (=> @t1107 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1461 @t1051)) (tptp.hAPP (tptp.hAPP @t1397 @t899) @t1052)))))) % 3.49/3.71 (assume @p1029 (forall (@list @t610 @t349 @t55) (= (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t576 @t1464))) (and (=> (tptp.hBOOL (tptp.hAPP @t1462 @t349)) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t1392 @t613) @t612)))) (=> @t611 @t1293))))) % 3.49/3.71 (assume @p1030 (forall @t708 (=> @t784 (= @t1011 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1415) @t331)))))) % 3.49/3.71 (assume @p1031 (forall @t708 (=> @t784 (= @t436 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1415) @t331)))))) % 3.49/3.71 (assume @p1032 (forall @t1471 (=> @t1470 (= @t1469 (= @t1466 @t809))))) % 3.49/3.71 (assume @p1033 (forall @t1471 (=> @t1470 (= @t1469 (= @t20 @t1472))))) % 3.49/3.71 (assume @p1034 (forall @t329 (=> @t732 (= (tptp.hAPP (tptp.hAPP @t1418 @t326) @t249) @t718)))) % 3.49/3.71 (assume @p1035 (forall @t509 (=> @t732 (= (tptp.hAPP @t1424 @t717) @t283)))) % 3.49/3.71 (assume @p1036 (forall @t509 (=> @t790 @t1473))) % 3.49/3.71 (assume @p1037 (forall @t509 (=> @t732 @t1473))) % 3.49/3.71 (assume @p1038 (forall @t555 (=> @t769 (= @t1476 (tptp.hAPP @t1474 @t1181))))) % 3.49/3.71 (assume @p1039 (forall @t1479 (= @t1478 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP (tptp.hAPP @t1392 @t316) @t1477)) @t575))))) % 3.49/3.71 (assume @p1040 (forall @t468 (= (tptp.hBOOL (tptp.hAPP @t405 @t1480)) @t421))) % 3.49/3.71 (assume @p1041 (forall @t425 (=> @t457 (=> @t1355 (tptp.hBOOL (tptp.hAPP @t1481 @t235)))))) % 3.49/3.71 (assume @p1042 (forall @t305 (tptp.hBOOL (tptp.hAPP @t1481 @t236)))) % 3.49/3.71 (assume @p1043 (forall @t425 (= (tptp.hAPP @t1432 @t302) @t199))) % 3.49/3.71 (assume @p1044 (forall @t341 (= (= @t1482 @t199) @t942))) % 3.49/3.71 (assume @p1045 (forall @t305 (=> @t1025 @t1434))) % 3.49/3.71 (assume @p1046 (forall @t1489 (= (tptp.hBOOL (tptp.hAPP @t1488 @t1487)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1485) @t1483))))) % 3.49/3.71 (assume @p1047 (forall @t305 (=> @t479 @t1490))) % 3.49/3.71 (assume @p1048 (forall @t425 (=> @t1044 (= @t1436 (tptp.hAPP tptp.c_Nat_OSuc @t1399))))) % 3.49/3.71 (assume @p1049 (forall @t320 (=> @t1454 (=> @t1453 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1451) @t1449)) @t421))))) % 3.49/3.71 (assume @p1050 (forall @t1225 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t249) @t272)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t87) @t249)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP (tptp.hAPP @t1397 @t249) @t87)) (tptp.hAPP (tptp.hAPP @t1397 @t272) @t87))))))) % 3.49/3.71 (assume @p1051 (forall @t1495 (=> @t1494 (= @t1493 @t1492)))) % 3.49/3.71 (assume @p1052 (forall @t1495 (=> @t1494 (= @t1492 @t1493)))) % 3.49/3.71 (assume @p1053 (forall @t1495 (=> @t1494 (= @t1497 @t1496)))) % 3.49/3.71 (assume @p1054 (forall @t1489 (=> @t1500 (= (= @t1498 @t316) (= @t1483 (tptp.hAPP @t317 @t143)))))) % 3.49/3.71 (assume @p1055 (forall @t425 (=> @t1044 (= (tptp.hAPP (tptp.hAPP @t260 @t1399) @t65) @t235)))) % 3.49/3.71 (assume @p1056 (forall (@list @t143 @t1483 @t316) (=> (tptp.hBOOL (tptp.hAPP @t1452 @t1483)) (= (tptp.hBOOL (tptp.hAPP @t1499 @t1487)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1485) @t1483)))))) % 3.49/3.71 (assume @p1057 (forall @t1495 (=> @t1494 (= @t1496 @t1497)))) % 3.49/3.71 (assume @p1058 (forall @t425 (=> @t1044 @t1490))) % 3.49/3.71 (assume @p1059 (forall @t1344 (=> @t1038 (tptp.hBOOL (tptp.hAPP @t939 (tptp.hAPP @t1445 @t311)))))) % 3.49/3.71 (assume @p1060 (forall (@list @t143 @t316 @t1483) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1487) @t143)) (tptp.hBOOL (tptp.hAPP @t1501 @t1485))))) % 3.49/3.71 (assume @p1061 (forall @t1495 (=> @t1494 (= (tptp.hAPP @t1411 @t1491) (tptp.hAPP (tptp.hAPP @t1397 @t490) @t473))))) % 3.49/3.71 (assume @p1062 (forall @t643 (= @t1503 @t1502))) % 3.49/3.71 (assume @p1063 (forall @t643 (= @t1502 @t1503))) % 3.49/3.71 (assume @p1064 (forall @t305 (= (tptp.hAPP @t1398 @t67) (tptp.hAPP (tptp.hAPP @t1397 @t1504) @t65)))) % 3.49/3.71 (assume @p1065 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t1397 @t67) @t773) @t65))) % 3.49/3.71 (assume @p1066 (forall @t305 (= @t1506 @t1505))) % 3.49/3.71 (assume @p1067 (forall @t425 (= (tptp.hAPP @t930 @t1311) @t1505))) % 3.49/3.71 (assume @p1068 (forall @t305 (= @t1312 (tptp.hAPP @t1398 @t1506)))) % 3.49/3.71 (assume @p1069 (forall @t1509 @t1508)) % 3.49/3.71 (assume @p1070 (forall @t103 (= (tptp.c_Nat__Transfer_Otsub @t609 @t608) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t1397 @t101) @t100))))) % 3.49/3.71 (assume @p1071 (forall @t1471 (=> @t1511 (= @t1510 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1466) @t809)))))) % 3.49/3.71 (assume @p1072 (forall @t1471 (=> @t1511 (= @t1510 (tptp.hBOOL (tptp.hAPP @t1421 @t1472)))))) % 3.49/3.71 (assume @p1073 (forall @t1471 (=> @t1511 (= @t1512 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1466) @t809)))))) % 3.49/3.71 (assume @p1074 (forall @t1471 (=> @t1511 (= @t1512 (tptp.hBOOL (tptp.hAPP @t839 @t1472)))))) % 3.49/3.71 (assume @p1075 (forall (@list @t471 @t65) (=> @t457 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP @t1432 @t472)) @t65))))) % 3.49/3.71 (assume @p1076 (forall @t96 (=> @t457 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1432 @t259)) @t65)))) % 3.49/3.71 (assume @p1077 (forall @t1519 (= @t1518 (and (=> @t1517 @t680) (forall @t1516 (=> @t1515 @t1514)))))) % 3.49/3.71 (assume @p1078 (forall @t1519 (= @t1518 (not (or (and @t1517 @t1189) (exists @t1516 (and @t1515 (not @t1514)))))))) % 3.49/3.71 (assume @p1079 (forall @t587 (= (tptp.hBOOL (tptp.hAPP @t986 (tptp.hAPP @t1520 @t686))) @t586))) % 3.49/3.71 (assume @p1080 (forall @t1523 (=> @t1494 (= (tptp.hAPP (tptp.hAPP @t1397 @t1522) @t235) (tptp.hAPP (tptp.hAPP @t1397 @t1521) @t1446))))) % 3.49/3.71 (assume @p1081 (forall @t1523 (=> @t1494 (= (tptp.hAPP @t1398 @t1522) (tptp.hAPP @t1447 @t1521))))) % 3.49/3.71 (assume @p1082 (forall @t1530 (=> @t1529 (= @t1528 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t1525) @t19)))))) % 3.49/3.71 (assume @p1083 (forall (@list @t65 @t235 @t231 @t471 @t473) (=> @t1532 (= @t1531 (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t1412) @t231)) @t235)) @t65))))) % 3.49/3.71 (assume @p1084 (forall @t1530 (=> @t1529 (= @t1533 (= @t1525 @t19))))) % 3.49/3.71 (assume @p1085 (forall @t1535 (=> @t1500 (= @t1528 (tptp.hBOOL (tptp.hAPP @t941 @t1534)))))) % 3.49/3.71 (assume @p1086 (forall (@list @t65 @t235 @t231 @t473 @t471) (=> @t925 (= @t1531 (tptp.hAPP @t1398 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t1536) @t231)) @t65)))))) % 3.49/3.71 (assume @p1087 (forall @t1535 (=> @t1500 (= @t1533 (= @t314 @t1534))))) % 3.49/3.71 (assume @p1088 (forall @t1230 (and (=> @t1394 (= @t1232 @t575)) (=> @t1395 (= @t1232 (tptp.hAPP (tptp.hAPP @t1392 @t1227) @t272)))))) % 3.49/3.71 (assume @p1089 (forall @t1230 (and (=> @t1394 (= @t1231 @t575)) (=> @t1395 (= @t1231 (tptp.hAPP @t1537 @t1227)))))) % 3.49/3.71 (assume @p1090 (forall @t305 (= @t1540 (tptp.hAPP @t1539 (tptp.hAPP (tptp.hAPP @t674 @t1538) @t65))))) % 3.49/3.71 (assume @p1091 (forall @t425 (= @t1541 (tptp.hAPP @t1539 @t1540)))) % 3.49/3.71 (assume @p1092 (forall @t1509 (and @t1508 (=> (not @t1507) (= @t1292 @t575))))) % 3.49/3.71 (assume @p1093 (forall @t96 (=> @t457 (= @t1543 @t65)))) % 3.49/3.71 (assume @p1094 (forall @t96 (=> @t457 (= @t65 @t1543)))) % 3.49/3.71 (assume @p1095 (forall @t1530 (=> @t1529 (= @t1544 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1525) @t19)))))) % 3.49/3.71 (assume @p1096 (forall @t1535 (=> @t1500 (= @t1544 (tptp.hBOOL (tptp.hAPP @t420 @t1534)))))) % 3.49/3.71 (assume @p1097 (forall @t305 (and (=> @t940 (= @t304 @t65)) (=> @t1545 (= @t304 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t260 @t1504) @t65))))))) % 3.49/3.71 (assume @p1098 (forall @t425 (=> @t457 (and @t1326 @t1546)))) % 3.49/3.71 (assume @p1099 (forall @t425 (=> @t457 @t1546))) % 3.49/3.71 (assume @p1100 (forall @t305 (and (=> @t940 (= @t772 @t199)) (=> @t1545 (= @t772 (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP @t770 @t1504) @t65))))))) % 3.49/3.71 (assume @p1101 (forall @t1236 (=> @t1355 (=> @t667 (= (tptp.hAPP (tptp.hAPP @t1285 (tptp.hAPP @t1548 @t235)) @t311) (tptp.hAPP @t1548 (tptp.hAPP @t1398 @t259))))))) % 3.49/3.71 (assume @p1102 (forall @t1407 (=> @t1406 (=> (forall @t8 (=> @t1095 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t1549 @t809))))) (=> @t1405 (forall @t8 (=> @t1095 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t1549 @t1402)))))))))) % 3.49/3.71 (assume @p1103 (forall (@list @t101 @t306 @t370) (=> @t1552 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t306) (tptp.hAPP @t636 @t1551)))))) % 3.49/3.71 (assume @p1104 (forall (@list @t306 @t101 @t370) (=> @t1552 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.hAPP @t1457 @t1551)) @t306))))) % 3.49/3.71 (assume @p1105 (forall (@list @t100 @t65 @t101) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t101 @t65) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t100 @t65)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t100) @t101)) (exists @t1244 (= @t101 (tptp.hAPP @t308 (tptp.hAPP @t930 @t1243)))))))) % 3.49/3.71 (assume @p1106 (forall (@list @t143 @t55 @t1553) (=> (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t1555 @t1553)) (=> @t1185 (tptp.hBOOL (tptp.hAPP @t55 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1554 @t1553)))))) (=> (tptp.hBOOL (tptp.hAPP @t55 @t143)) (=> (tptp.hBOOL (tptp.hAPP @t1488 @t1553)) @t680))))) % 3.49/3.71 (assume @p1107 (forall @t1559 (=> (tptp.hBOOL (tptp.hAPP @t405 @t1557)) (= @t1557 (tptp.hAPP tptp.c_Nat_OSuc @t1558))))) % 3.49/3.71 (assume @p1108 (forall @t1509 (and (=> @t1561 (= @t1560 @t101)) (=> (not @t1561) (= @t1560 (tptp.c_Nitpick_Onat__gcd @t100 @t1347)))))) % 3.49/3.71 (assume @p1109 (forall (@list @t65 @t306 @t66) (=> @t764 (= (tptp.hAPP @t761 @t1563) (tptp.hAPP (tptp.hAPP @t1562 @t762) @t65))))) % 3.49/3.71 (assume @p1110 (forall @t1569 (=> @t1568 (= (tptp.hAPP @t761 @t1567) @t1565)))) % 3.49/3.71 (assume @p1111 (forall @t329 (=> @t1572 (= (tptp.hAPP @t1570 @t1571) @t1571)))) % 3.49/3.71 (assume @p1112 (forall @t623 (=> @t1578 (= @t1576 @t620)))) % 3.49/3.71 (assume @p1113 (forall (@list @t349 @t580 @t10) (=> @t1580 (= (= @t1579 @t349) (= @t349 @t1579))))) % 3.49/3.71 (assume @p1114 (forall @t1582 (tptp.hBOOL (tptp.hAPP @t901 (tptp.hAPP (tptp.hAPP @t1547 @t1581) @t65))))) % 3.49/3.71 (assume @p1115 (forall @t509 (=> @t1572 (=> @t1583 @t977)))) % 3.49/3.71 (assume @p1116 (forall @t329 (=> @t1572 (tptp.hBOOL (tptp.hAPP @t971 @t1571))))) % 3.49/3.71 (assume @p1117 (forall @t385 (=> @t1572 (= (tptp.hAPP @t1570 @t326) @t326)))) % 3.49/3.71 (assume @p1118 (forall @t335 (=> @t1586 (= (= @t1585 @t331) @t332)))) % 3.49/3.71 (assume @p1119 (forall @t509 (=> @t1572 (= (tptp.hAPP @t1570 @t1588) @t1588)))) % 3.49/3.71 (assume @p1120 (forall @t329 (=> @t554 (= (tptp.hAPP @t1589 @t1571) @t836)))) % 3.49/3.71 (assume @p1121 (forall @t509 (=> @t554 @t1591))) % 3.49/3.71 (assume @p1122 (forall @t509 (=> @t1572 (= @t1593 @t1592)))) % 3.49/3.71 (assume @p1123 (forall @t385 (=> @t554 (= (tptp.hAPP @t1570 @t688) @t688)))) % 3.49/3.71 (assume @p1124 (forall @t329 (=> @t1572 (= (tptp.hAPP @t1570 @t718) @t1571)))) % 3.49/3.71 (assume @p1125 (forall (@list @t1142 @t100 @t101 @t66) (=> @t369 (= (tptp.hAPP (tptp.hAPP @t1562 @t805) @t1142) (tptp.hAPP @t1597 (tptp.hAPP @t1594 @t1142)))))) % 3.49/3.71 (assume @p1126 (forall @t873 (=> @t554 (= (tptp.hAPP @t1570 @t600) @t600)))) % 3.49/3.71 (assume @p1127 (forall @t237 (= (tptp.hAPP @t1550 @t592) @t592))) % 3.49/3.71 (assume @p1128 (forall @t1601 (=> @t369 (= (tptp.hAPP (tptp.hAPP @t1562 @t1600) @t1142) (tptp.hAPP @t1595 (tptp.hAPP @t1599 @t1142)))))) % 3.49/3.71 (assume @p1129 (forall @t310 (= (tptp.hAPP (tptp.hAPP @t1547 @t1603) @t306) (tptp.hAPP @t1602 (tptp.hAPP (tptp.hAPP @t770 @t100) @t306))))) % 3.49/3.71 (assume @p1130 (forall @t353 (=> @t369 (= (tptp.hAPP @t1595 @t773) @t101)))) % 3.49/3.71 (assume @p1131 (forall @t1460 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1547 @t1226) @t100) @t235) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1603 @t235)))) % 3.49/3.71 (assume @p1132 (forall @t1569 (=> @t1568 (and (=> @t1606 @t1607) (=> (not @t1606) @t1605))))) % 3.49/3.71 (assume @p1133 (forall @t777 (=> @t1568 (= @t1608 @t774)))) % 3.49/3.71 (assume @p1134 (forall @t353 (=> @t1612 (and (=> @t1611 (= @t1610 (tptp.hAPP @t716 @t1609))) (=> (not @t1611) (= @t1610 @t1609)))))) % 3.49/3.71 (assume @p1135 (forall @t1614 (= (tptp.hBOOL (tptp.hAPP @t594 (tptp.hAPP (tptp.hAPP @t1547 @t1613) @t19))) (or (not (= @t349 @t575)) @t338)))) % 3.49/3.71 (assume @p1136 (forall @t329 (=> @t1572 (=> @t1060 @t1615)))) % 3.49/3.71 (assume @p1137 (forall @t335 (=> @t1586 (= (tptp.hBOOL (tptp.hAPP @t1616 @t331)) @t332)))) % 3.49/3.71 (assume @p1138 (forall @t329 (=> @t1572 (tptp.hBOOL (tptp.hAPP @t909 @t1571))))) % 3.49/3.71 (assume @p1139 (forall @t329 (=> @t1572 (not (tptp.hBOOL (tptp.hAPP @t1617 @t326)))))) % 3.49/3.71 (assume @p1140 (forall @t335 (=> @t1586 (= (tptp.hBOOL (tptp.hAPP @t515 @t1585)) @t1618)))) % 3.49/3.71 (assume @p1141 (forall @t329 (=> @t1572 (=> @t514 @t1615)))) % 3.49/3.71 (assume @p1142 (forall @t509 (=> @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 (tptp.hAPP @t1570 @t283)) @t1588))))) % 3.49/3.71 (assume @p1143 (forall @t1619 (=> @t554 (=> (tptp.hBOOL (tptp.hAPP @t1617 @t87)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1587) @t370)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1590) (tptp.hAPP @t857 @t370)))))))) % 3.49/3.71 (assume @p1144 (forall @t509 (=> @t1572 (tptp.hBOOL (tptp.hAPP @t1621 @t1592))))) % 3.49/3.71 (assume @p1145 (forall @t509 (=> @t1572 (tptp.hBOOL (tptp.hAPP @t1621 @t1593))))) % 3.49/3.71 (assume @p1146 (forall @t509 (=> @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 (tptp.hAPP @t1570 @t1620)) @t1593))))) % 3.49/3.71 (assume @p1147 (forall @t329 (=> @t1572 (tptp.hBOOL (tptp.hAPP @t1622 @t1571))))) % 3.49/3.71 (assume @p1148 (forall @t708 (=> @t1586 (= (tptp.hBOOL (tptp.hAPP @t1616 @t21)) (and @t1011 @t1019))))) % 3.49/3.71 (assume @p1149 (forall @t509 (=> @t1572 (=> @t977 (=> @t1623 @t1583))))) % 3.49/3.71 (assume @p1150 (forall @t509 (=> @t1572 (=> @t1583 @t1623)))) % 3.49/3.71 (assume @p1151 (forall @t708 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1585) @t21)) (and @t436 @t786))))) % 3.49/3.71 (assume @p1152 (forall @t1627 (=> (and @t1580 @t622) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1625) @t1579)) (not (tptp.hBOOL (tptp.hAPP @t1626 @t1625))))))) % 3.49/3.71 (assume @p1153 (forall @t1632 (=> @t1631 (= (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP (tptp.hAPP @t287 @t249) @t272)) @t1628) (tptp.hAPP (tptp.hAPP @t287 @t1630) @t1629))))) % 3.49/3.71 (assume @p1154 (forall @t1636 (=> @t1631 (= (tptp.hAPP @t1633 (tptp.hAPP (tptp.hAPP @t287 @t272) @t87)) (tptp.hAPP (tptp.hAPP @t287 @t1635) @t1634))))) % 3.49/3.71 (assume @p1155 (forall @t1639 (=> @t369 (= @t1638 @t1637)))) % 3.49/3.71 (assume @p1156 (forall @t1639 (=> @t369 (= @t1637 @t1638)))) % 3.49/3.71 (assume @p1157 (forall @t1639 (=> @t369 (= (tptp.hAPP @t1597 @t101) @t1638)))) % 3.49/3.71 (assume @p1158 (forall @t1632 (=> @t1640 (= (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP (tptp.hAPP @t1414 @t249) @t272)) @t1628) (tptp.hAPP (tptp.hAPP @t1414 @t1630) @t1629))))) % 3.49/3.71 (assume @p1159 (forall @t1636 (=> @t1640 (= (tptp.hAPP @t1633 (tptp.hAPP (tptp.hAPP @t1414 @t272) @t87)) (tptp.hAPP (tptp.hAPP @t1414 @t1635) @t1634))))) % 3.49/3.71 (assume @p1160 (forall @t623 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1641 @t1574)) @t999)))) % 3.49/3.71 (assume @p1161 (forall @t353 (=> @t369 (= (tptp.hAPP @t1595 @t199) @t688)))) % 3.49/3.71 (assume @p1162 (forall @t1601 (=> @t369 (= (tptp.hAPP (tptp.hAPP @t690 @t1600) @t1596) (tptp.hAPP @t1595 (tptp.hAPP (tptp.hAPP @t260 @t1598) @t1142)))))) % 3.49/3.71 (assume @p1163 (forall @t623 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1643 @t1574)) @t1139)))) % 3.49/3.71 (assume @p1164 (forall @t1650 (=> @t1568 (= @t1649 @t1646)))) % 3.49/3.71 (assume @p1165 (forall @t1650 (=> @t1568 (= @t1646 @t1649)))) % 3.49/3.71 (assume @p1166 (forall @t1651 (=> @t1568 (= (tptp.hAPP @t1645 (tptp.hAPP (tptp.hAPP @t274 @t1644) @t306)) (tptp.hAPP (tptp.hAPP @t274 @t1649) @t306))))) % 3.49/3.71 (assume @p1167 (forall @t1582 (=> @t1050 (tptp.hBOOL (tptp.hAPP @t901 @t1652))))) % 3.49/3.71 (assume @p1168 (forall @t1651 (=> @t1568 (= (tptp.hAPP @t1656 (tptp.hAPP (tptp.hAPP @t690 @t1644) @t306)) (tptp.hAPP (tptp.hAPP @t690 @t1655) @t306))))) % 3.49/3.71 (assume @p1169 (forall @t1650 (=> @t1568 (= @t1657 @t1655)))) % 3.49/3.71 (assume @p1170 (forall @t1650 (=> @t1568 (= @t1655 @t1657)))) % 3.49/3.71 (assume @p1171 (forall @t305 (=> (= (tptp.hAPP @t1550 @t1658) @t686) (= (tptp.hAPP @t1550 @t235) @t686)))) % 3.49/3.71 (assume @p1172 (forall @t1650 (=> @t1568 (= (tptp.hAPP @t1564 (tptp.hAPP (tptp.hAPP @t1392 @t905) @t638)) @t1660)))) % 3.49/3.71 (assume @p1173 (forall @t310 (= (tptp.hAPP @t1602 @t309) (tptp.hAPP (tptp.hAPP @t674 @t1603) (tptp.hAPP @t1602 @t306))))) % 3.49/3.71 (assume @p1174 (forall @t1663 (=> @t1568 (= @t1662 @t1661)))) % 3.49/3.71 (assume @p1175 (forall @t1663 (=> @t1568 (= @t1661 @t1662)))) % 3.49/3.71 (assume @p1176 (forall @t353 (=> @t554 (= (tptp.hAPP (tptp.hAPP @t690 @t887) @t1664) @t101)))) % 3.49/3.71 (assume @p1177 (forall @t777 (=> @t554 (= @t1665 (tptp.hAPP (tptp.hAPP @t690 @t311) (tptp.c_Groups_Osgn__class_Osgn @t66 @t311)))))) % 3.49/3.71 (assume @p1178 (forall @t555 (=> @t554 (=> @t1124 (= (tptp.hAPP (tptp.hAPP @t690 (tptp.hAPP @t1570 @t100)) @t101) (tptp.hAPP @t1570 @t1121)))))) % 3.49/3.71 (assume @p1179 (forall @t509 (=> (tptp.class_Rings_Oordered__ring__abs @t66) (=> (and (or @t1060 @t1067) (or @t1059 @t1066)) @t1591)))) % 3.49/3.71 (assume @p1180 (forall @t376 (=> @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 (tptp.hAPP @t1570 (tptp.hAPP @t1426 @t371))) (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t1570 (tptp.hAPP @t1424 @t87))) (tptp.hAPP @t1570 (tptp.hAPP @t1428 @t370)))))))) % 3.49/3.71 (assume @p1181 (forall @t509 (=> @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1593) @t1588))))) % 3.49/3.71 (assume @p1182 (forall @t329 (=> @t1572 (=> @t1067 @t1666)))) % 3.49/3.71 (assume @p1183 (forall @t329 (=> @t1572 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 (tptp.hAPP @t716 @t1571)) @t326))))) % 3.49/3.71 (assume @p1184 (forall @t329 (=> (tptp.class_Groups_Oabs__if @t66) (and @t1667 (=> (not @t507) @t1615))))) % 3.49/3.71 (assume @p1185 (forall @t329 (=> @t1572 @t1667))) % 3.49/3.71 (assume @p1186 (forall @t685 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1668) @t686)) @t872))) % 3.49/3.71 (assume @p1187 (forall (@list @t87 @t638 @t905 @t66) (=> @t1568 (= (tptp.hAPP @t1645 (tptp.hAPP (tptp.hAPP @t1418 @t1644) @t87)) (tptp.hAPP (tptp.hAPP @t1418 @t1649) @t87))))) % 3.49/3.71 (assume @p1188 (forall @t898 (and (=> @t1670 (= @t1669 (tptp.hAPP @t677 @t471))) (=> (not @t1670) (= @t1669 @t471))))) % 3.49/3.71 (assume @p1189 (forall @t765 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t690 @t1661) @t306) (tptp.hAPP (tptp.hAPP @t690 @t1662) @t306))))) % 3.49/3.71 (assume @p1190 (forall @t1136 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1550 @t759)) (tptp.hAPP (tptp.hAPP @t770 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1550 @t638))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1550 @t306)))))) % 3.49/3.71 (assume @p1191 (forall @t1650 (=> @t1568 (= @t1660 @t1672)))) % 3.49/3.71 (assume @p1192 (forall (@list @t638 @t87 @t905 @t66) (=> @t1568 (= (tptp.hAPP @t1645 (tptp.hAPP (tptp.hAPP @t1418 @t87) @t1644)) (tptp.hAPP (tptp.hAPP @t274 @t1672) @t87))))) % 3.49/3.71 (assume @p1193 (forall @t1679 (=> @t536 (=> @t446 (=> @t1060 (=> @t457 @t1678)))))) % 3.49/3.71 (assume @p1194 (forall @t1681 (=> @t536 (=> @t1680 (=> @t457 (tptp.hBOOL (tptp.hAPP @t699 @t1676))))))) % 3.49/3.71 (assume @p1195 (forall @t1688 (=> @t570 (=> @t1687 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1685) @t1684)) @t985))))) % 3.49/3.71 (assume @p1196 (forall @t1690 (=> @t536 (=> @t1680 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1689) @t1676)) @t1025))))) % 3.49/3.71 (assume @p1197 (forall @t1694 (=> @t536 (=> @t1693 (=> @t1060 (=> (tptp.hBOOL (tptp.hAPP @t971 @t688)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1692) @t1676)))))))) % 3.49/3.71 (assume @p1198 (forall @t1694 (=> @t536 (=> @t1696 (=> @t514 (=> @t1695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1692) @t1676)))))))) % 3.49/3.71 (assume @p1199 (forall @t1681 (=> @t536 (=> @t514 (=> @t1695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1697) @t688))))))) % 3.49/3.71 (assume @p1200 (forall @t629 (= (tptp.hAPP @t1566 @t311) @t311))) % 3.49/3.71 (assume @p1201 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1700) @t1699)) @t1698))) % 3.49/3.71 (assume @p1202 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1700) @t1699)) @t1478))) % 3.49/3.71 (assume @p1203 (forall @t1703 (= (tptp.hAPP @t1702 @t1701) (tptp.hAPP @t1566 @t1648)))) % 3.49/3.71 (assume @p1204 (forall @t1703 (= (tptp.hAPP (tptp.hAPP @t674 @t1567) @t1701) (tptp.hAPP @t1566 @t1654)))) % 3.49/3.71 (assume @p1205 (forall @t948 (= @t1704 (tptp.hAPP @t1566 @t823)))) % 3.49/3.71 (assume @p1206 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t1705 @t259) @t65) @t259))) % 3.49/3.71 (assume @p1207 (forall (@list @t314 @t349) (= (= (tptp.hAPP @t1706 @t314) @t259) (or @t339 (= @t349 @t259))))) % 3.49/3.71 (assume @p1208 (forall @t1710 (=> (tptp.hBOOL (tptp.hAPP @t405 @t471)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1709) @t1708)) @t415)))) % 3.49/3.71 (assume @p1209 (forall @t1614 (= (tptp.hBOOL (tptp.hAPP @t405 (tptp.hAPP @t1706 @t19))) (or (tptp.hBOOL (tptp.hAPP @t405 @t349)) @t338)))) % 3.49/3.71 (assume @p1210 (forall @t948 (= @t1701 (tptp.hAPP @t831 @t638)))) % 3.49/3.71 (assume @p1211 (forall @t885 (=> (tptp.hBOOL (tptp.hAPP @t988 @t471)) (tptp.hBOOL (tptp.hAPP @t988 @t1708))))) % 3.49/3.71 (assume @p1212 (forall @t948 (= (tptp.hAPP tptp.c_Int_Onat @t1701) @t1711))) % 3.49/3.71 (assume @p1213 (forall @t1559 (= @t1557 (tptp.hAPP tptp.c_Int_Onat @t1567)))) % 3.49/3.71 (assume @p1214 (forall @t305 (= @t1714 @t1712))) % 3.49/3.71 (assume @p1215 (forall @t305 (= @t1712 @t1714))) % 3.49/3.71 (assume @p1216 (forall @t1582 (= (tptp.hAPP (tptp.hAPP @t1547 @t609) @t65) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t1705 @t101) @t65))))) % 3.49/3.71 (assume @p1217 (forall @t1703 (= (tptp.hAPP (tptp.hAPP @t1392 @t1567) @t1701) (tptp.hAPP @t1566 @t1671)))) % 3.49/3.71 (assume @p1218 (forall (@list @t1598 @t235) (and (=> @t940 (= @t1716 @t773)) (=> @t1545 (= @t1716 (tptp.hAPP @t1599 (tptp.hAPP @t1715 @t1504))))))) % 3.49/3.71 (assume @p1219 (forall (@list @t1624 @t314) (= (= @t588 @t1717) (and (= @t314 (tptp.hAPP tptp.c_Int_Onat @t1717)) (tptp.hBOOL (tptp.hAPP @t901 @t1717)))))) % 3.49/3.71 (assume @p1220 (forall @t1582 (=> @t1050 (= (tptp.hAPP (tptp.hAPP @t1705 @t1048) @t65) (tptp.hAPP tptp.c_Int_Onat @t1652))))) % 3.49/3.71 (assume @p1221 (forall @t1718 (=> @t902 (= (tptp.hAPP tptp.c_Int_Onat @t1563) (tptp.hAPP (tptp.hAPP @t1705 @t899) @t65))))) % 3.49/3.71 (assume @p1222 (forall @t1681 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t66) (=> @t800 (not (= @t1676 @t326)))))) % 3.49/3.71 (assume @p1223 (forall @t1681 (=> @t730 (= @t1721 @t1719)))) % 3.49/3.71 (assume @p1224 (forall @t1679 (=> @t729 (= (tptp.hAPP (tptp.hAPP @t1562 @t715) @t65) (tptp.hAPP @t1720 @t1674))))) % 3.49/3.71 (assume @p1225 (forall @t873 (=> @t730 (= (tptp.hAPP @t1722 @t65) @t688)))) % 3.49/3.71 (assume @p1226 (forall @t602 (=> @t599 (= (tptp.hAPP @t595 @t1713) (tptp.hAPP (tptp.hAPP @t1562 @t596) @t65))))) % 3.49/3.71 (assume @p1227 (forall @t1690 (=> @t730 (= (tptp.hAPP @t1675 @t772) (tptp.hAPP (tptp.hAPP @t1562 @t1689) @t65))))) % 3.49/3.71 (assume @p1228 (forall @t1727 (= (tptp.hAPP (tptp.hAPP @t1295 @t259) @t1726) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1725 @t1724))))) % 3.49/3.71 (assume @p1229 (forall @t1681 (=> @t554 (= @t1730 @t1729)))) % 3.49/3.71 (assume @p1230 (forall @t329 (=> @t730 (= (tptp.hAPP @t1675 @t773) @t249)))) % 3.49/3.71 (assume @p1231 (forall @t1681 (=> @t536 (=> @t1060 (tptp.hBOOL (tptp.hAPP @t909 @t1676)))))) % 3.49/3.71 (assume @p1232 (forall @t1679 (=> @t536 (=> @t977 (=> @t1060 (tptp.hBOOL (tptp.hAPP @t1731 @t1674))))))) % 3.49/3.71 (assume @p1233 (forall @t1681 (=> @t536 (=> @t514 (tptp.hBOOL (tptp.hAPP @t510 @t1676)))))) % 3.49/3.71 (assume @p1234 (forall @t1735 (=> (and @t1734 (tptp.class_Rings_Omult__zero @t10) (tptp.class_Rings_Ono__zero__divisors @t10) (tptp.class_Rings_Ozero__neq__one @t10)) (= (= @t1733 @t331) (and @t332 @t459))))) % 3.49/3.71 (assume @p1235 (forall @t1681 (=> @t536 (=> @t1736 (tptp.hBOOL (tptp.hAPP @t1084 @t1676)))))) % 3.49/3.71 (assume @p1236 (forall @t873 (=> @t1739 (= (tptp.hAPP @t1737 @t67) @t326)))) % 3.49/3.71 (assume @p1237 (forall (@list @t19 @t314 @t168 @t10) (=> @t570 (=> (tptp.hBOOL (tptp.hAPP @t1686 @t168)) (= (= (tptp.hAPP @t1732 @t314) @t1733) @t315))))) % 3.49/3.71 (assume @p1238 (forall @t1681 (=> @t1738 (= @t1697 @t1719)))) % 3.49/3.71 (assume @p1239 (forall @t1681 (=> @t730 (= @t1697 @t1721)))) % 3.49/3.71 (assume @p1240 (forall @t329 (=> @t1738 (= (tptp.hAPP @t1675 @t199) @t688)))) % 3.49/3.71 (assume @p1241 (forall @t1690 (=> @t730 (= (tptp.hAPP @t1675 @t304) (tptp.hAPP (tptp.hAPP @t690 @t1689) @t1676))))) % 3.49/3.71 (assume @p1242 (forall @t1681 (=> @t554 (= (tptp.hAPP @t1570 @t1741) @t1730)))) % 3.49/3.71 (assume @p1243 (forall @t1742 (=> @t536 (=> @t1678 (=> @t1059 @t446))))) % 3.49/3.71 (assume @p1244 (forall @t1742 (=> @t536 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1697) @t1743)) (=> @t1059 @t977))))) % 3.49/3.71 (assume @p1245 (forall @t1742 (=> @t536 (=> (= @t1697 @t1743) (=> @t1060 (=> @t1059 @t662)))))) % 3.49/3.71 (assume @p1246 (forall @t1681 (=> @t536 (=> @t1680 (tptp.hBOOL (tptp.hAPP @t699 @t1719)))))) % 3.49/3.71 (assume @p1247 (forall @t1681 (=> @t536 (=> @t1680 (tptp.hBOOL (tptp.hAPP @t1677 @t1719)))))) % 3.49/3.71 (assume @p1248 (forall @t873 (=> @t1739 (and (=> @t342 (= @t1744 @t688)) (=> @t410 (= @t1744 @t326)))))) % 3.49/3.71 (assume @p1249 (forall @t1681 (=> @t536 (=> @t1680 (tptp.hBOOL (tptp.hAPP @t699 @t1697)))))) % 3.49/3.71 (assume @p1250 (forall @t1694 (=> @t536 (=> @t1696 (=> @t1680 (tptp.hBOOL (tptp.hAPP @t1677 @t1692))))))) % 3.49/3.71 (assume @p1251 (forall @t1690 (=> @t536 (=> @t1680 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1689) @t1676)) @t415))))) % 3.49/3.71 (assume @p1252 (forall @t1688 (=> @t570 (=> @t1687 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1685) @t1684)) @t611))))) % 3.49/3.71 (assume @p1253 (forall @t1681 (=> @t554 (tptp.hBOOL (tptp.hAPP @t909 @t1729))))) % 3.49/3.71 (assume @p1254 (forall @t1694 (=> @t536 (=> @t1693 (=> @t1736 (tptp.hBOOL (tptp.hAPP @t1731 @t1692))))))) % 3.49/3.71 (assume @p1255 (forall @t1681 (=> @t764 (= @t1741 (tptp.hAPP (tptp.hAPP @t690 (tptp.hAPP @t1745 @t65)) @t1676))))) % 3.49/3.71 (assume @p1256 (forall @t1681 (=> @t536 (=> @t514 (=> @t1695 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1719) @t1676))))))) % 3.49/3.71 (assume @p1257 (forall @t1742 (=> @t536 (=> (= @t1676 @t1674) (=> @t1060 (=> @t1059 (=> @t457 @t662))))))) % 3.49/3.71 (assume @p1258 (forall @t103 (= (tptp.c_Nitpick_Onat__lcm @t101 @t100) (tptp.hAPP (tptp.hAPP @t1295 @t1108) @t1560)))) % 3.49/3.71 (assume @p1259 (forall @t103 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t101) @t100) (tptp.hAPP @t576 (tptp.c_Nitpick_Onat__gcd @t1748 @t1747))))) % 3.49/3.71 (assume @p1260 (forall @t1727 (and (=> @t1750 (= @t1749 @t259)) (=> @t1751 (= @t1749 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t686 @t1724))))))) % 3.49/3.71 (assume @p1261 (forall @t1752 (=> @t1734 (= @t1682 (tptp.c_Power_Opower_Opower @t10 @t709 @t704))))) % 3.49/3.71 (assume @p1262 (forall @t1757 (and (=> @t1755 (= @t1754 @t199)) (=> @t1756 (= @t1754 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1753 @t1724))))))) % 3.49/3.71 (assume @p1263 (forall @t1757 (and (=> @t1755 (= @t1758 @t199)) (=> @t1756 (and (=> @t1750 (= @t1758 @t1557)) (=> @t1751 (= @t1758 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1567 @t1724))))))))) % 3.49/3.71 (assume @p1264 (forall @t103 (= (tptp.c_Nitpick_Oint__lcm @t101 @t100) (tptp.hAPP @t576 (tptp.c_Nitpick_Onat__lcm @t1748 @t1747))))) % 3.49/3.71 (assume @p1265 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t575)))) % 3.49/3.71 (assume @p1266 (forall @t96 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t591))))) % 3.49/3.71 (assume @p1267 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t686)))) % 3.49/3.71 (assume @p1268 (forall @t1759 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t349))) @t1003))) % 3.49/3.71 (assume @p1269 (forall (@list @t1760) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1760)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1760) @t575))))) % 3.49/3.71 (assume @p1270 (forall @t644 (=> @t1761 @t1131))) % 3.49/3.71 (assume @p1271 (forall @t644 (=> (not @t1761) @t1134))) % 3.49/3.71 (assume @p1272 (forall (@list @t168 @t1763 @t1762 @t10) (= (tptp.hAPP @t1764 @t199) @t1762))) % 3.49/3.71 (assume @p1273 (forall (@list @t19 @t168 @t1763 @t1762 @t10) (= (tptp.hAPP @t1764 @t48) (tptp.hAPP (tptp.hAPP @t1763 @t168) (tptp.hAPP @t1764 @t19))))) % 3.49/3.71 (assume @p1274 (forall @t1559 (=> @t1755 @t1765))) % 3.49/3.71 (assume @p1275 (forall @t96 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t678)))) % 3.49/3.71 (assume @p1276 (forall @t1772 (= (= @t1771 @t1770) (and (=> @t1769 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1767) @t575))) (=> (not @t1769) (and (=> @t1768 (= @t1717 @t575)) (=> (not @t1768) (= @t1624 @t1766)))))))) % 3.49/3.71 (assume @p1277 (forall @t1777 (and (=> @t1755 (= @t1776 @t1774)) (=> @t1756 (and (=> @t1750 (= @t1776 (tptp.hAPP @t1775 @t311))) (=> @t1751 (= @t1776 (tptp.hAPP (tptp.hAPP @t260 @t1773) @t311)))))))) % 3.49/3.71 (assume @p1278 (forall @t1559 (and (=> @t1755 (= @t1778 @t575)) (=> @t1756 (= @t1778 @t1567))))) % 3.49/3.71 (assume @p1279 (forall @t1569 (=> @t1568 (and (=> @t1755 @t1605) (=> @t1756 @t1607))))) % 3.49/3.71 (assume @p1280 (forall @t1703 (and (=> @t1755 (= @t1781 (tptp.hAPP @t1782 @t1711))) (=> @t1756 (= @t1781 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1779 @t1711))))))) % 3.49/3.71 (assume @p1281 (forall @t1784 (and (=> @t1755 (= @t1783 (tptp.hAPP @t1782 @t65))) (=> @t1756 (= @t1783 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1779 @t65))))))) % 3.49/3.71 (assume @p1282 (forall @t1784 (and (=> @t1755 (= @t1786 @t1089)) (=> @t1756 (= @t1786 (tptp.hAPP (tptp.hAPP @t260 @t1785) @t65)))))) % 3.49/3.71 (assume @p1283 (forall @t1559 (and (=> @t1755 (= @t1787 @t773)) (=> @t1756 (= @t1787 @t1785))))) % 3.49/3.71 (assume @p1284 (forall @t1219 (=> @t1242 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1789 @t272) @t1788)))) % 3.49/3.71 (assume @p1285 (forall @t1230 (=> @t1148 (=> @t1266 (= @t1290 @t1789))))) % 3.49/3.71 (assume @p1286 (forall (@list @t316 @t2 @t19) (=> (forall @t1187 (=> @t1795 @t1794)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t394) @t316)) (=> @t1793 (exists @t1187 (and @t1792 @t1791))))))) % 3.49/3.71 (assume @p1287 (forall @t623 (=> @t1577 (= @t1576 (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 (tptp.hAPP @t1797 @t1796))))))) % 3.49/3.71 (assume @p1288 (forall @t629 (= (tptp.hAPP @t1799 tptp.c_Int_OMin) @t1798))) % 3.49/3.71 (assume @p1289 (forall @t385 (=> @t1568 (not (tptp.c_Int_Oiszero @t66 @t1800))))) % 3.49/3.71 (assume @p1290 (tptp.hBOOL (tptp.hAPP @t1801 tptp.c_Int_OMin))) % 3.49/3.71 (assume @p1291 (not (tptp.hBOOL (tptp.hAPP @t1802 tptp.c_Int_OMin)))) % 3.49/3.71 (assume @p1292 (forall @t671 (=> @t145 (= (tptp.c_Int_Oiszero @t10 @t583) @t1803)))) % 3.49/3.71 (assume @p1293 (forall @t385 (=> @t599 (tptp.c_Int_Oiszero @t66 @t326)))) % 3.49/3.71 (assume @p1294 (forall @t385 (=> @t599 (not (tptp.c_Int_Oiszero @t66 @t688))))) % 3.49/3.71 (assume @p1295 (tptp.hBOOL (tptp.hAPP @t1802 @t575))) % 3.49/3.71 (assume @p1296 (= tptp.c_Int_OMin @t893)) % 3.49/3.71 (assume @p1297 (forall @t629 (= (tptp.hAPP (tptp.hAPP @t674 tptp.c_Int_OMin) @t311) @t776))) % 3.49/3.71 (assume @p1298 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1789))) % 3.49/3.71 (assume @p1299 (forall @t766 (=> @t1568 (= (tptp.hAPP @t1805 @t1800) @t1804)))) % 3.49/3.71 (assume @p1300 (forall @t766 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t690 @t1800) @t306) @t1804)))) % 3.49/3.71 (assume @p1301 (forall @t385 (=> @t1568 (= @t767 @t1800)))) % 3.49/3.71 (assume @p1302 (forall @t385 (=> @t1568 (= @t1800 @t767)))) % 3.49/3.71 (assume @p1303 (forall @t385 (=> @t1612 (= (tptp.hAPP @t1570 @t1800) @t688)))) % 3.49/3.71 (assume @p1304 (forall @t250 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t249 @t1789) @t575))) % 3.49/3.71 (assume @p1305 (forall @t341 (= @t782 (or @t780 (and (= @t314 @t1789) (= @t19 @t1789)))))) % 3.49/3.71 (assume @p1306 (forall @t305 (=> (= @t1658 @t686) (or (= @t235 @t686) (= @t235 @t1789))))) % 3.49/3.71 (assume @p1307 (forall @t385 (=> @t1568 (= (tptp.hAPP @t761 @t1789) @t1800)))) % 3.49/3.71 (assume @p1308 (forall @t250 (= (tptp.hAPP @t1289 @t1789) @t1229))) % 3.49/3.71 (assume @p1309 (forall @t629 (= @t1798 (tptp.hAPP @t1043 @t686)))) % 3.49/3.71 (assume @p1310 (forall @t873 (=> @t1612 (= (tptp.hAPP @t1570 (tptp.hAPP @t1806 @t65)) @t688)))) % 3.49/3.71 (assume @p1311 (forall @t1219 (=> @t1242 (= (tptp.hAPP (tptp.hAPP @t1285 @t1789) @t272) @t1789)))) % 3.49/3.71 (assume @p1312 (forall @t777 (=> @t1568 (= (tptp.hAPP @t1564 @t1798) (tptp.hAPP @t696 @t1608))))) % 3.49/3.71 (assume @p1313 (forall @t1559 (and (=> @t1808 (= @t1807 @t773)) (=> @t1809 (= @t1807 @t1785))))) % 3.49/3.71 (assume @p1314 (forall @t1559 (and (=> @t1808 (= @t1810 @t773)) (=> @t1809 (= @t1810 @t1785))))) % 3.49/3.71 (assume @p1315 (forall @t351 (=> @t1577 (= (= @t1575 @t331) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 (tptp.hAPP @t1797 @t1811))))))) % 3.49/3.71 (assume @p1316 (forall @t1813 (=> @t1577 (= (= @t331 @t1574) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 (tptp.hAPP @t1812 @t1796))))))) % 3.49/3.71 (assume @p1317 (forall @t1816 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1815)) @t1814))) % 3.49/3.71 (assume @p1318 (forall @t1777 (and (=> @t1808 (= @t1819 @t199)) (=> @t1809 (= @t1819 (tptp.hAPP (tptp.hAPP @t770 @t1817) @t311)))))) % 3.49/3.71 (assume @p1319 (forall @t1757 (and (=> @t1808 (= @t1820 @t199)) (=> @t1809 (= @t1820 @t1817))))) % 3.49/3.71 (assume @p1320 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 3.49/3.71 (assume @p1321 (= tptp.c_Int_OPls @t575)) % 3.49/3.71 (assume @p1322 (tptp.hBOOL (tptp.hAPP @t1821 tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1323 (not (tptp.hBOOL (tptp.hAPP @t1822 tptp.c_Int_OPls)))) % 3.49/3.71 (assume @p1324 (forall @t629 (= (tptp.hAPP @t1812 @t311) @t311))) % 3.49/3.71 (assume @p1325 (forall @t629 (= (tptp.hAPP @t1043 tptp.c_Int_OPls) @t311))) % 3.49/3.71 (assume @p1326 (forall @t948 (= (tptp.hAPP (tptp.hAPP @t674 tptp.c_Int_OPls) @t638) tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1327 (forall @t629 (= (tptp.hAPP @t1799 tptp.c_Int_OPls) @t311))) % 3.49/3.71 (assume @p1328 (= @t1811 tptp.c_Int_OPls)) % 3.49/3.71 (assume @p1329 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 3.49/3.71 (assume @p1330 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1331 (forall @t886 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t101)) @t101))) % 3.49/3.71 (assume @p1332 (forall @t385 (=> @t1568 (= @t1823 @t326)))) % 3.49/3.71 (assume @p1333 (forall @t385 (=> @t1568 (= @t326 @t1823)))) % 3.49/3.71 (assume @p1334 (forall @t329 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t274 @t1823) @t249) @t249)))) % 3.49/3.71 (assume @p1335 (forall @t329 (=> @t1568 (= (tptp.hAPP @t281 @t1823) @t249)))) % 3.49/3.71 (assume @p1336 (not (tptp.hBOOL (tptp.hAPP @t1822 @t575)))) % 3.49/3.71 (assume @p1337 (= @t1824 @t199)) % 3.49/3.71 (assume @p1338 (= @t199 @t1824)) % 3.49/3.71 (assume @p1339 (= @t575 @t1825)) % 3.49/3.71 (assume @p1340 (forall (@list @t235 @t905) (=> (tptp.hBOOL (tptp.hAPP @t1822 @t905)) (= (tptp.hAPP @t1435 @t1557) (tptp.hAPP @t1398 @t1826))))) % 3.49/3.71 (assume @p1341 (not (tptp.hBOOL (tptp.hAPP @t1821 tptp.c_Int_OMin)))) % 3.49/3.71 (assume @p1342 (tptp.hBOOL (tptp.hAPP @t1801 tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1343 (not (tptp.hBOOL (tptp.hAPP @t1822 tptp.c_Int_OMin)))) % 3.49/3.71 (assume @p1344 (tptp.hBOOL (tptp.hAPP @t1802 tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1345 (not (= @t1825 @t1789))) % 3.49/3.71 (assume @p1346 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1825)))) % 3.49/3.71 (assume @p1347 (forall @t385 (=> @t1568 (tptp.c_Int_Oiszero @t66 @t1823)))) % 3.49/3.71 (assume @p1348 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 3.49/3.71 (assume @p1349 (forall @t1479 (= @t1698 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 (tptp.c_Int_Opred @t316)) @t1477))))) % 3.49/3.71 (assume @p1350 (forall @t629 (= @t1827 (tptp.hAPP @t1799 @t686)))) % 3.49/3.71 (assume @p1351 (forall @t629 (= (tptp.hAPP @t1043 tptp.c_Int_OMin) @t1827))) % 3.49/3.71 (assume @p1352 (forall @t629 (= (tptp.hAPP (tptp.hAPP @t581 tptp.c_Int_OMin) @t311) @t1827))) % 3.49/3.71 (assume @p1353 (forall @t1559 (and (=> @t1828 (= @t1558 @t199)) (=> (not @t1828) (= @t1558 @t1826))))) % 3.49/3.71 (assume @p1354 (forall @t1816 (= (= @t199 @t1771) @t1830))) % 3.49/3.71 (assume @p1355 (forall @t1816 (= @t1814 @t1830))) % 3.49/3.71 (assume @p1356 (tptp.hBOOL (tptp.hAPP @t901 @t1825))) % 3.49/3.71 (assume @p1357 (forall @t1772 (= (tptp.hBOOL (tptp.hAPP @t1832 @t1770)) (and (=> @t1831 (tptp.hBOOL (tptp.hAPP @t1822 @t1766))) @t1831)))) % 3.49/3.71 (assume @p1358 (forall @t1772 (= (tptp.hBOOL (tptp.hAPP @t1833 @t1770)) (=> (not (tptp.hBOOL (tptp.hAPP @t1829 @t1766))) @t1830)))) % 3.49/3.71 (assume @p1359 (forall @t1813 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1055 @t1574)) (tptp.hBOOL (tptp.hAPP @t1821 @t610)))))) % 3.49/3.71 (assume @p1360 (forall @t351 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1641 @t331)) (tptp.hBOOL (tptp.hAPP @t998 tptp.c_Int_OPls)))))) % 3.49/3.71 (assume @p1361 (forall @t351 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1643 @t331)) (tptp.hBOOL (tptp.hAPP @t1138 tptp.c_Int_OPls)))))) % 3.49/3.71 (assume @p1362 (forall @t1813 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t515 @t1574)) (tptp.hBOOL (tptp.hAPP @t1822 @t610)))))) % 3.49/3.71 (assume @p1363 (forall @t1816 (= (tptp.hBOOL (tptp.hAPP @t405 @t1771)) (tptp.hBOOL (tptp.hAPP @t1822 @t1624))))) % 3.49/3.71 (assume @p1364 (forall @t1757 (and (=> @t1808 (= @t1834 @t1726)) (=> @t1809 (and (=> @t1835 (= @t1834 @t1557)) (=> (not @t1835) (= @t1834 @t1773))))))) % 3.49/3.71 (assume @p1365 (forall @t1663 (=> @t1568 (= (tptp.hAPP @t1564 (tptp.c_Int_Opred @t638)) (tptp.hAPP (tptp.hAPP @t274 @t767) @t1644))))) % 3.49/3.71 (assume @p1366 (forall @t351 (=> @t1577 (= (= @t1575 @t709) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 (tptp.hAPP @t1797 @t1837))))))) % 3.49/3.71 (assume @p1367 (forall @t1813 (=> @t1577 (= (= @t709 @t1574) (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 (tptp.hAPP @t1838 @t1796))))))) % 3.49/3.71 (assume @p1368 (forall @t1569 (=> @t1568 (= (tptp.hAPP @t1659 @t688) (tptp.hAPP @t1564 (tptp.hAPP @t1647 @t1837)))))) % 3.49/3.71 (assume @p1369 (forall @t1663 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t1418 @t688) @t1644) (tptp.hAPP @t1564 (tptp.hAPP @t1838 @t823)))))) % 3.49/3.71 (assume @p1370 (forall @t1847 (= (tptp.hAPP @t1846 @t1557) (tptp.hAPP @t1843 @t1557)))) % 3.49/3.71 (assume @p1371 (forall @t305 (= (tptp.hAPP @t1846 @t65) (tptp.hAPP @t1843 @t65)))) % 3.49/3.71 (assume @p1372 (forall @t1479 (= (= @t1850 @t1849) @t1848))) % 3.49/3.71 (assume @p1373 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1851 @t1849)) @t1698))) % 3.49/3.71 (assume @p1374 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1857 @t1855)) @t1854))) % 3.49/3.71 (assume @p1375 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1859 @t1849)) @t1478))) % 3.49/3.71 (assume @p1376 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1861 @t1855)) @t1860))) % 3.49/3.71 (assume @p1377 (forall @t1863 (not (= tptp.c_Int_OPls @t1862)))) % 3.49/3.71 (assume @p1378 (forall @t629 (not (= @t1864 tptp.c_Int_OPls)))) % 3.49/3.71 (assume @p1379 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 3.49/3.71 (assume @p1380 (forall @t1865 (= (= tptp.c_Int_OMin @t1849) (= tptp.c_Int_OMin @t1477)))) % 3.49/3.71 (assume @p1381 (forall @t1866 (= (= @t1850 tptp.c_Int_OMin) (= @t316 tptp.c_Int_OMin)))) % 3.49/3.71 (assume @p1382 (forall @t1869 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1868) @t575)) @t1867))) % 3.49/3.71 (assume @p1383 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1821 @t1850)) @t1870))) % 3.49/3.71 (assume @p1384 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1859 tptp.c_Int_OPls)) @t1871))) % 3.49/3.71 (assume @p1385 (forall @t629 (= @t1864 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t687 @t311)) @t311)))) % 3.49/3.71 (assume @p1386 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1801 @t1850)) (tptp.hBOOL (tptp.hAPP @t1801 @t316))))) % 3.49/3.71 (assume @p1387 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1851 tptp.c_Int_OMin)) @t1872))) % 3.49/3.71 (assume @p1388 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1802 @t1850)) @t1873))) % 3.49/3.71 (assume @p1389 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1859 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1270 tptp.c_Int_OMin))))) % 3.49/3.71 (assume @p1390 (forall @t1869 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1566 @t1868))) @t1875))) % 3.49/3.71 (assume @p1391 (forall @t629 (= (tptp.hAPP @t677 @t1864) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t776))))) % 3.49/3.71 (assume @p1392 (forall @t1663 (=> (and @t1568 (tptp.class_Int_Oring__char__0 @t66)) (not (tptp.c_Int_Oiszero @t66 @t1876))))) % 3.49/3.71 (assume @p1393 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1836)) % 3.49/3.71 (assume @p1394 (forall @t1663 (=> @t1568 (= @t1876 (tptp.hAPP (tptp.hAPP @t274 @t1877) @t1644))))) % 3.49/3.71 (assume @p1395 (forall @t329 (=> @t1568 (= (tptp.hAPP @t692 @t1878) @t249)))) % 3.49/3.71 (assume @p1396 (forall @t329 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t690 @t1878) @t249) @t249)))) % 3.49/3.71 (assume @p1397 (forall @t385 (=> @t1568 (= @t1878 @t688)))) % 3.49/3.71 (assume @p1398 (forall @t385 (=> @t1568 (= @t688 @t1878)))) % 3.49/3.71 (assume @p1399 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1851 tptp.c_Int_OPls)) @t1871))) % 3.49/3.71 (assume @p1400 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1822 @t1850)) @t1870))) % 3.49/3.71 (assume @p1401 (= @t686 (tptp.hAPP @t1566 @t1836))) % 3.49/3.71 (assume @p1402 (= @t773 @t1879)) % 3.49/3.71 (assume @p1403 (= @t1879 @t773)) % 3.49/3.71 (assume @p1404 (forall @t1863 (= (tptp.hAPP @t1883 @t1862) @t1882))) % 3.49/3.71 (assume @p1405 (= (tptp.hAPP @t677 tptp.c_Int_OMin) @t1836)) % 3.49/3.71 (assume @p1406 (forall @t385 (=> @t1568 (not (tptp.c_Int_Oiszero @t66 @t1878))))) % 3.49/3.71 (assume @p1407 (= @t1879 @t259)) % 3.49/3.71 (assume @p1408 (= @t1840 (tptp.hAPP tptp.c_Nat_OSuc @t1884))) % 3.49/3.71 (assume @p1409 (forall @t329 (=> @t730 (= (tptp.hAPP @t1675 @t1840) (tptp.hAPP (tptp.hAPP @t690 @t836) @t249))))) % 3.49/3.71 (assume @p1410 (tptp.hBOOL (tptp.hAPP @t901 @t1885))) % 3.49/3.71 (assume @p1411 (forall @t96 (= @t1888 @t1886))) % 3.49/3.71 (assume @p1412 (= @t1885 (tptp.hAPP @t576 @t1840))) % 3.49/3.71 (assume @p1413 (= @t1840 (tptp.hAPP tptp.c_Int_Onat @t1885))) % 3.49/3.71 (assume @p1414 (forall @t351 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1641 @t709)) (tptp.hBOOL (tptp.hAPP @t998 @t1836)))))) % 3.49/3.71 (assume @p1415 (forall @t1813 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t709) @t1574)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1836) @t610)))))) % 3.49/3.71 (assume @p1416 (forall @t351 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1643 @t709)) (tptp.hBOOL (tptp.hAPP @t1138 @t1836)))))) % 3.49/3.71 (assume @p1417 (forall @t1813 (=> @t1642 (= (tptp.hBOOL (tptp.hAPP @t1686 @t1574)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1836) @t610)))))) % 3.49/3.71 (assume @p1418 (forall @t1663 (=> @t1568 (= @t1877 (tptp.hAPP @t1564 (tptp.hAPP @t1838 @t638)))))) % 3.49/3.71 (assume @p1419 (forall @t1569 (=> @t1568 (= (tptp.hAPP @t1645 @t688) (tptp.hAPP @t1564 (tptp.hAPP @t1647 @t1836)))))) % 3.49/3.71 (assume @p1420 (forall @t425 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1824) @t65)) (= @t1436 (tptp.hAPP @t1398 (tptp.hAPP @t1432 @t1879)))))) % 3.49/3.71 (assume @p1421 (forall @t305 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t235 @t1888) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t235 @t1886)))) % 3.49/3.71 (assume @p1422 (forall @t305 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1845 @t65) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1842 @t65)))) % 3.49/3.71 (assume @p1423 (forall @t1847 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1845 @t1557) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1842 @t1557)))) % 3.49/3.71 (assume @p1424 (forall @t305 (= (tptp.hAPP @t1310 @t1888) (tptp.hAPP @t1310 @t1886)))) % 3.49/3.71 (assume @p1425 (forall @t1900 (and (=> @t1897 (= @t1896 (tptp.hAPP (tptp.hAPP @t581 @t1899) @t686))) (=> @t1898 (= @t1896 (tptp.hAPP (tptp.hAPP @t1392 (tptp.hAPP @t1892 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1889 @t1701))) @t686)))))) % 3.49/3.71 (assume @p1426 (forall @t1230 (=> @t1254 (= @t1905 (tptp.hAPP (tptp.hAPP @t1392 (tptp.hAPP @t1892 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1901 @t249))) @t686))))) % 3.49/3.71 (assume @p1427 (forall @t1230 (=> @t1258 (= @t1906 (tptp.hAPP @t1345 @t249))))) % 3.49/3.71 (assume @p1428 (forall @t1230 (=> @t1254 (= @t1906 (tptp.hAPP (tptp.hAPP @t1285 @t1901) @t249))))) % 3.49/3.71 (assume @p1429 (forall @t1230 (=> @t1258 (= @t1905 (tptp.hAPP @t687 (tptp.hAPP @t1892 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t272 @t249))))))) % 3.49/3.71 (assume @p1430 (forall @t353 (=> @t599 (=> @t1050 (= (tptp.hAPP @t595 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1892 @t101))) (tptp.hAPP (tptp.hAPP @t274 @t1907) @t1907)))))) % 3.49/3.71 (assume @p1431 (forall @t1479 (= (= @t1909 @t1908) @t1848))) % 3.49/3.71 (assume @p1432 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1912 @t1910)) @t1854))) % 3.49/3.71 (assume @p1433 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1913 @t1908)) @t1698))) % 3.49/3.71 (assume @p1434 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1914 @t1910)) @t1860))) % 3.49/3.71 (assume @p1435 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1915 @t1908)) @t1478))) % 3.49/3.71 (assume @p1436 (forall @t1866 (= (= @t1909 tptp.c_Int_OPls) (= @t316 tptp.c_Int_OPls)))) % 3.49/3.71 (assume @p1437 (forall @t1865 (= (= tptp.c_Int_OPls @t1908) (= tptp.c_Int_OPls @t1477)))) % 3.49/3.71 (assume @p1438 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 3.49/3.71 (assume @p1439 (forall @t1250 (not (= @t1864 @t1916)))) % 3.49/3.71 (assume @p1440 (forall @t1250 (not (= @t1917 @t1862)))) % 3.49/3.71 (assume @p1441 (forall @t629 (= @t1917 (tptp.hAPP @t1043 @t311)))) % 3.49/3.71 (assume @p1442 (forall @t1250 (= (tptp.hAPP @t1919 @t1916) (tptp.c_Int_OBit0 @t1918)))) % 3.49/3.71 (assume @p1443 (forall @t1250 (= (tptp.hAPP (tptp.hAPP @t674 @t1917) @t485) @t1920))) % 3.49/3.71 (assume @p1444 (forall @t1250 (= (tptp.hAPP @t1923 @t1916) @t1922))) % 3.49/3.71 (assume @p1445 (forall @t629 (= (tptp.hAPP @t677 @t1917) (tptp.c_Int_OBit0 @t776)))) % 3.49/3.71 (assume @p1446 (forall @t629 (not (= @t1917 tptp.c_Int_OMin)))) % 3.49/3.71 (assume @p1447 (forall @t1863 (not (= tptp.c_Int_OMin @t1916)))) % 3.49/3.71 (assume @p1448 (forall @t1869 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1924) @t575)) @t1867))) % 3.49/3.71 (assume @p1449 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1913 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1362 tptp.c_Int_OPls))))) % 3.49/3.71 (assume @p1450 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1821 @t1909)) @t1870))) % 3.49/3.71 (assume @p1451 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1912 @t1855)) @t1854))) % 3.49/3.71 (assume @p1452 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1913 @t1849)) @t1698))) % 3.49/3.71 (assume @p1453 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1915 tptp.c_Int_OPls)) @t1871))) % 3.49/3.71 (assume @p1454 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1822 @t1909)) (tptp.hBOOL (tptp.hAPP @t1822 @t316))))) % 3.49/3.71 (assume @p1455 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1861 @t1910)) @t1860))) % 3.49/3.71 (assume @p1456 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1859 @t1908)) @t1478))) % 3.49/3.71 (assume @p1457 (forall @t1250 (= (tptp.hAPP @t1926 @t1916) @t1925))) % 3.49/3.71 (assume @p1458 (forall @t1250 (= (tptp.hAPP @t1919 @t1862) @t1925))) % 3.49/3.71 (assume @p1459 (forall @t1863 (= (tptp.hAPP @t1883 @t1916) (tptp.c_Int_OBit0 (tptp.hAPP @t1883 @t485))))) % 3.49/3.71 (assume @p1460 (forall @t1250 (= (tptp.hAPP @t1927 @t1862) @t1922))) % 3.49/3.71 (assume @p1461 (forall @t1250 (= (tptp.hAPP @t1927 @t1916) (tptp.c_Int_OBit1 @t1921)))) % 3.49/3.71 (assume @p1462 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1913 tptp.c_Int_OMin)) @t1872))) % 3.49/3.71 (assume @p1463 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1802 @t1909)) @t1873))) % 3.49/3.71 (assume @p1464 (forall @t1703 (= (tptp.hAPP (tptp.hAPP @t1285 @t1929) @t1894) @t1928))) % 3.49/3.71 (assume @p1465 (forall @t1869 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1566 @t1924))) @t1875))) % 3.49/3.71 (assume @p1466 (forall @t629 (= (tptp.c_Int_Opred @t1864) @t1917))) % 3.49/3.71 (assume @p1467 (forall @t629 (= (tptp.c_Int_Opred @t1917) (tptp.c_Int_OBit1 @t1827)))) % 3.49/3.71 (assume @p1468 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 3.49/3.71 (assume @p1469 (forall @t1930 (=> @t1578 (= (tptp.c_Int_Oiszero @t10 (tptp.hAPP @t1573 @t1924)) (tptp.c_Int_Oiszero @t10 @t1579))))) % 3.49/3.71 (assume @p1470 (forall @t629 (= (tptp.c_Int_Osucc @t1917) @t1864))) % 3.49/3.71 (assume @p1471 (forall @t629 (= (tptp.c_Int_Osucc @t1864) (tptp.c_Int_OBit0 @t1798)))) % 3.49/3.71 (assume @p1472 (forall @t1663 (=> @t1568 (= @t1931 (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t336 @t1644)) @t1644))))) % 3.49/3.71 (assume @p1473 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1915 @t1849)) @t1698))) % 3.49/3.71 (assume @p1474 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1914 @t1855)) @t1854))) % 3.49/3.71 (assume @p1475 (forall @t1479 (= (tptp.hBOOL (tptp.hAPP @t1851 @t1908)) @t1478))) % 3.49/3.71 (assume @p1476 (forall @t1858 (= (tptp.hBOOL (tptp.hAPP @t1857 @t1910)) @t1860))) % 3.49/3.71 (assume @p1477 (forall @t1250 (= (tptp.hAPP (tptp.hAPP @t674 @t1864) @t485) (tptp.hAPP (tptp.hAPP @t581 @t1920) @t485)))) % 3.49/3.71 (assume @p1478 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1801 @t1909)) @t1873))) % 3.49/3.71 (assume @p1479 (forall @t1866 (= (tptp.hBOOL (tptp.hAPP @t1915 tptp.c_Int_OMin)) @t1872))) % 3.49/3.71 (assume @p1480 (forall @t1863 (= (tptp.hAPP @t1880 @t1862) (tptp.c_Int_OBit0 @t1881)))) % 3.49/3.71 (assume @p1481 (forall @t1863 (= (tptp.hAPP @t1880 @t1916) @t1882))) % 3.49/3.71 (assume @p1482 (forall @t1250 (= (tptp.hAPP @t1923 @t1862) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1392 @t1827) @t485))))) % 3.49/3.71 (assume @p1483 (forall @t1250 (= (tptp.hAPP @t1926 @t1862) (tptp.c_Int_OBit0 (tptp.hAPP @t1043 (tptp.c_Int_Osucc @t485)))))) % 3.49/3.71 (assume @p1484 (forall @t1663 (=> @t1568 (= (tptp.hAPP @t698 @t1644) @t1931)))) % 3.49/3.71 (assume @p1485 (forall @t96 (=> (tptp.hBOOL (tptp.hAPP @t901 @t1932)) (and (tptp.hBOOL (tptp.hAPP @t901 (tptp.hAPP @t1566 (tptp.c_Int_OBit0 @t65)))) (tptp.hBOOL (tptp.hAPP @t901 (tptp.hAPP @t1566 (tptp.c_Int_OBit1 @t65)))))))) % 3.49/3.71 (assume @p1486 (forall @t766 (=> @t1568 (= (tptp.hAPP @t1936 @t306) @t1934)))) % 3.49/3.71 (assume @p1487 (forall @t766 (=> @t1568 (= (tptp.hAPP @t1805 @t1935) @t1934)))) % 3.49/3.71 (assume @p1488 (forall @t385 (=> @t1568 (= @t697 @t1935)))) % 3.49/3.71 (assume @p1489 (forall @t385 (=> @t599 (= (tptp.hAPP @t1737 @t1937) @t326)))) % 3.49/3.71 (assume @p1490 (forall @t335 (=> @t714 (= (= @t1938 @t331) @t332)))) % 3.49/3.71 (assume @p1491 (= @t1937 @t1884)) % 3.49/3.71 (assume @p1492 (= @t1884 @t1937)) % 3.49/3.71 (assume @p1493 (forall @t329 (=> @t730 (= @t1939 @t836)))) % 3.49/3.71 (assume @p1494 (forall @t353 (=> @t369 (= @t881 @t1940)))) % 3.49/3.71 (assume @p1495 (tptp.hBOOL (tptp.hAPP @t901 @t1891))) % 3.49/3.71 (assume @p1496 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t260 @t1937) @t65) @t1887))) % 3.49/3.71 (assume @p1497 (forall @t96 (= (tptp.hAPP @t301 @t1937) @t1887))) % 3.49/3.71 (assume @p1498 (forall @t385 (=> @t599 (= (tptp.hAPP @t1722 @t1937) @t688)))) % 3.49/3.71 (assume @p1499 (forall @t329 (=> @t764 (= (tptp.hAPP @t1740 @t1937) @t1939)))) % 3.49/3.71 (assume @p1500 (forall @t644 (= (tptp.hAPP (tptp.hAPP @t770 @t306) @t1937) @t1941))) % 3.49/3.71 (assume @p1501 (forall @t644 (= (tptp.hAPP @t1942 @t306) @t1941))) % 3.49/3.71 (assume @p1502 (forall @t1681 (=> @t730 (= @t1945 @t1943)))) % 3.49/3.71 (assume @p1503 (= @t1891 (tptp.hAPP @t576 @t1937))) % 3.49/3.71 (assume @p1504 (= @t1937 @t1946)) % 3.49/3.71 (assume @p1505 (forall @t329 (=> @t554 (= (tptp.hAPP @t1728 @t1937) @t1939)))) % 3.49/3.71 (assume @p1506 (forall @t329 (=> @t554 (= (tptp.hAPP @t1570 @t1939) @t1939)))) % 3.49/3.71 (assume @p1507 (= (tptp.hAPP @t1088 @t773) @t1937)) % 3.49/3.71 (assume @p1508 (forall @t237 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1844 @t1937) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t235 @t1937)))) % 3.49/3.71 (assume @p1509 (forall @t237 (= (tptp.hAPP (tptp.hAPP @t1295 @t1844) @t1937) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1310 @t1937))))) % 3.49/3.71 (assume @p1510 (forall @t1703 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1929 @t1894) @t1899))) % 3.49/3.71 (assume @p1511 (forall @t237 (= (tptp.hAPP (tptp.hAPP @t1295 (tptp.hAPP @t303 @t235)) @t1937) @t235))) % 3.49/3.71 (assume @p1512 (forall @t329 (=> @t554 (tptp.hBOOL (tptp.hAPP @t909 @t1939))))) % 3.49/3.71 (assume @p1513 (forall @t555 (=> @t536 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1940) @t1947)) (=> @t1123 @t963))))) % 3.49/3.71 (assume @p1514 (forall @t555 (=> @t536 (=> (= @t1940 @t1947) (=> @t1124 (=> @t1123 @t102)))))) % 3.49/3.71 (assume @p1515 (forall @t335 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t515 @t1938)) @t1618)))) % 3.49/3.71 (assume @p1516 (forall @t329 (=> @t554 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1939) @t326)))))) % 3.49/3.71 (assume @p1517 (forall @t623 (=> @t502 (= (= @t1949 @t331) @t866)))) % 3.49/3.71 (assume @p1518 (forall (@list @t638 @t10) (=> (and (tptp.class_Groups_Omonoid__mult @t10) @t1580) (= (tptp.hAPP (tptp.hAPP @t1682 @t1950) @t1937) (tptp.hAPP (tptp.hAPP @t704 @t1950) @t1950))))) % 3.49/3.71 (assume @p1519 (forall @t96 (=> (tptp.hBOOL (tptp.hAPP @t411 @t1937)) (or @t342 (= @t65 @t259))))) % 3.49/3.71 (assume @p1520 (= @t1946 @t1884)) % 3.49/3.71 (assume @p1521 (forall @t335 (=> @t714 (= (= @t1938 @t709) (or (= @t168 @t709) (= @t168 @t710)))))) % 3.49/3.71 (assume @p1522 (forall @t1953 (=> @t369 (= (tptp.hAPP @t1595 @t1944) @t1952)))) % 3.49/3.71 (assume @p1523 (forall @t1681 (=> @t764 (= (tptp.hAPP @t1740 @t1944) @t1945)))) % 3.49/3.71 (assume @p1524 (forall @t555 (=> @t536 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1940) @t1947)) (=> @t1123 @t551))))) % 3.49/3.71 (assume @p1525 (forall @t623 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1949) @t331)) @t866)))) % 3.49/3.71 (assume @p1526 (forall @t555 (=> @t554 (tptp.hBOOL (tptp.hAPP @t909 @t1954))))) % 3.49/3.71 (assume @p1527 (forall @t555 (=> @t554 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1954) @t326)))))) % 3.49/3.71 (assume @p1528 (forall @t623 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t515 @t1949)) @t884)))) % 3.49/3.71 (assume @p1529 (forall @t555 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t1562 @t1956) @t1937) (tptp.hAPP (tptp.hAPP @t274 @t1954) @t1955))))) % 3.49/3.71 (assume @p1530 (forall @t1681 (=> @t554 (tptp.hBOOL (tptp.hAPP @t909 @t1945))))) % 3.49/3.71 (assume @p1531 (forall @t1681 (=> @t730 (= @t1958 (tptp.hAPP @t692 @t1943))))) % 3.49/3.71 (assume @p1532 (forall @t1953 (=> @t369 (= (tptp.hAPP @t1595 @t1957) (tptp.hAPP @t803 @t1952))))) % 3.49/3.71 (assume @p1533 (forall @t873 (=> @t764 (= (tptp.hAPP @t1745 @t1944) @t688)))) % 3.49/3.71 (assume @p1534 (forall @t1900 (and (=> @t1897 (= @t1959 @t1928)) (=> @t1898 (= @t1959 (tptp.hAPP (tptp.hAPP @t1285 @t1889) @t1701)))))) % 3.49/3.71 (assume @p1535 (forall @t1961 (= (tptp.hBOOL (tptp.hAPP @t405 @t1960)) (= @t1960 @t773)))) % 3.49/3.71 (assume @p1536 (forall @t96 (=> @t1357 (tptp.hBOOL (tptp.hAPP @t405 (tptp.hAPP @t1309 @t1937)))))) % 3.49/3.71 (assume @p1537 (forall @t555 (=> @t1568 (= (tptp.hAPP (tptp.hAPP @t1562 @t1476) @t1937) (tptp.hAPP (tptp.hAPP @t1418 @t1954) @t1955))))) % 3.49/3.71 (assume @p1538 (forall @t1681 (=> @t554 (=> (tptp.hBOOL (tptp.hAPP @t909 @t1958)) @t1060)))) % 3.49/3.71 (assume @p1539 (forall @t1681 (=> @t554 (=> @t507 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t1958) @t326)))))) % 3.49/3.71 (assume @p1540 (forall @t873 (=> @t764 (= (tptp.hAPP @t1745 @t1957) @t767)))) % 3.49/3.71 (assume @p1541 (forall @t873 (=> @t1568 (= (tptp.hAPP @t1806 @t1944) @t688)))) % 3.49/3.71 (assume @p1542 (forall @t873 (=> @t1568 (= (tptp.hAPP @t1806 @t1957) @t1800)))) % 3.49/3.71 (assume @p1543 (forall @t96 (=> @t457 (tptp.hBOOL (tptp.hAPP @t405 (tptp.hAPP (tptp.hAPP @t1295 @t1090) @t1937)))))) % 3.49/3.71 (assume @p1544 (forall @t629 (and (=> @t1969 (= @t1966 @t575)) (=> (not @t1969) (and (=> @t1968 (= @t1966 @t1965)) (=> (not @t1968) (= @t1966 (tptp.hAPP (tptp.hAPP @t581 @t1965) @t686)))))))) % 3.49/3.71 (assume @p1545 (= @t1970 (tptp.hAPP @t1962 @t1836))) % 3.49/3.71 (assume @p1546 (forall (@list @t863 @t66) (=> (and @t1410 @t1568) (=> (tptp.hBOOL (tptp.hAPP @t510 @t863)) (tptp.hBOOL (tptp.hAPP @t510 (tptp.hAPP (tptp.hAPP @t1971 @t863) @t1935))))))) % 3.49/3.71 (assume @p1547 (forall @t1975 (=> (and @t1974 @t1577) (= (tptp.hBOOL (tptp.hAPP @t515 (tptp.hAPP (tptp.hAPP @t1973 @t1972) (tptp.hAPP @t1573 @t1890)))) (tptp.hBOOL (tptp.hAPP @t515 @t1972)))))) % 3.49/3.71 (assume @p1548 (tptp.c_Nat__Transfer_Ois__nat @t1891)) % 3.49/3.71 (assume @p1549 (forall (@list @t316 @t2 @t19 @t314) (=> (forall @t1187 (=> (and @t1976 @t1795) @t1794)) (=> @t421 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t603) @t316)) (=> @t1793 (exists @t1187 (and @t1976 @t1792 @t1791)))))))) % 3.49/3.71 (assume @p1550 (= (tptp.hAPP (tptp.hAPP @t1977 @t1967) @t1970) @t1967)) % 3.49/3.71 (assume @p1551 (forall @t329 (=> @t1979 (= (tptp.hAPP @t1978 @t326) @t326)))) % 3.49/3.71 (assume @p1552 (forall @t329 (=> @t1980 (= (tptp.hAPP (tptp.hAPP @t1971 @t326) @t249) @t326)))) % 3.49/3.71 (assume @p1553 (forall @t285 (=> @t1980 (= (tptp.hAPP @t1983 @t87) (tptp.hAPP (tptp.hAPP @t274 @t1982) @t1981))))) % 3.49/3.71 (assume @p1554 (forall (@list @t638 @t306 @t100 @t101 @t66) (=> @t1986 (= (tptp.hAPP (tptp.hAPP @t690 @t1985) (tptp.hAPP (tptp.hAPP @t1971 @t306) @t638)) (tptp.hAPP (tptp.hAPP @t1971 @t804) (tptp.hAPP @t880 @t638)))))) % 3.49/3.71 (assume @p1555 (forall @t285 (=> @t1980 (= (tptp.hAPP @t692 @t1981) (tptp.hAPP (tptp.hAPP @t1971 @t715) @t87))))) % 3.49/3.71 (assume @p1556 (forall @t285 (=> @t1980 (= (tptp.hAPP (tptp.hAPP @t1971 @t1427) @t87) (tptp.hAPP (tptp.hAPP @t1418 @t1982) @t1981))))) % 3.49/3.71 (assume @p1557 (forall @t329 (=> @t1980 (= (tptp.hAPP @t1978 @t688) @t249)))) % 3.49/3.71 (assume @p1558 (forall @t509 (=> @t1986 @t1989))) % 3.49/3.71 (assume @p1559 (forall @t509 (=> @t1986 @t1991))) % 3.49/3.71 (assume @p1560 (forall @t509 (=> @t1980 (= @t1990 (tptp.hAPP @t1988 @t272))))) % 3.49/3.71 (assume @p1561 (forall @t1679 (=> @t1986 @t1992))) % 3.49/3.71 (assume @p1562 (forall @t509 (=> @t1410 @t1993))) % 3.49/3.71 (assume @p1563 (tptp.c_Nat__Transfer_Ois__nat @t575)) % 3.49/3.71 (assume @p1564 (forall @t103 (=> @t1995 (=> @t1994 (tptp.c_Nat__Transfer_Ois__nat @t1091))))) % 3.49/3.71 (assume @p1565 (forall @t644 (tptp.c_Nat__Transfer_Ois__nat @t1092))) % 3.49/3.71 (assume @p1566 (tptp.c_Nat__Transfer_Ois__nat @t686)) % 3.49/3.71 (assume @p1567 (forall @t103 (=> @t1995 (=> @t1994 (tptp.c_Nat__Transfer_Ois__nat @t1046))))) % 3.49/3.71 (assume @p1568 (forall @t103 (=> @t1995 (=> @t1994 (tptp.c_Nat__Transfer_Ois__nat @t1237))))) % 3.49/3.71 (assume @p1569 (forall @t103 (=> @t1995 (=> @t1994 (tptp.c_Nat__Transfer_Ois__nat @t1324))))) % 3.49/3.71 (assume @p1570 (forall @t1582 (=> @t1995 (tptp.c_Nat__Transfer_Ois__nat @t1652)))) % 3.49/3.71 (assume @p1571 (forall @t708 (=> @t1974 (= (tptp.hBOOL (tptp.hAPP @t1055 @t1996)) @t1083)))) % 3.49/3.71 (assume @p1572 (forall @t708 (=> @t1974 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t1996) @t331)) @t1082)))) % 3.49/3.71 (assume @p1573 (forall @t285 (=> @t1410 (=> @t977 (=> @t1064 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1982) @t1981))))))) % 3.49/3.71 (assume @p1574 (forall @t285 (=> @t1410 (=> @t977 (=> @t1077 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t1981) @t1982))))))) % 3.49/3.71 (assume @p1575 (forall @t280 (=> @t1998 (=> @t659 (=> @t862 @t1997))))) % 3.49/3.71 (assume @p1576 (forall @t285 (=> @t1998 (=> @t446 (=> @t856 @t1997))))) % 3.49/3.71 (assume @p1577 (forall @t555 (=> @t1998 (=> @t2001 (=> @t2000 @t1999))))) % 3.49/3.71 (assume @p1578 (forall @t555 (=> @t1998 (=> @t2001 (=> @t2004 @t2003))))) % 3.49/3.71 (assume @p1579 (forall @t555 (=> @t1998 (=> @t888 (=> @t2000 @t2003))))) % 3.49/3.71 (assume @p1580 (forall @t555 (=> @t1998 (=> @t888 (=> @t2004 @t1999))))) % 3.49/3.71 (assume @p1581 (forall @t708 (=> @t1974 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t1996) @t331)) (or (and @t516 @t2006) (and @t500 @t2005)))))) % 3.49/3.71 (assume @p1582 (forall @t708 (=> @t1974 (= (tptp.hBOOL (tptp.hAPP @t515 @t1996)) (or (and @t516 @t2005) (and @t500 @t2006)))))) % 3.49/3.71 (assume @p1583 (forall @t296 (=> @t2014 (= @t2013 (and (=> @t2010 @t2009) @t2008))))) % 3.49/3.71 (assume @p1584 (forall @t2017 (=> @t2014 (= @t2016 (and (=> @t2010 @t2015) @t2008))))) % 3.49/3.71 (assume @p1585 (forall @t456 (=> @t1986 (=> @t1351 (= (tptp.hAPP (tptp.hAPP @t1971 @t815) @t725) @t1987))))) % 3.49/3.71 (assume @p1586 (forall @t456 (=> @t1986 (=> @t1351 (= (tptp.hAPP (tptp.hAPP @t1971 @t859) @t858) @t1987))))) % 3.49/3.71 (assume @p1587 (forall (@list @t580 @t349 @t583 @t610 @t10) (=> @t2018 (=> @t883 (=> (not @t1803) (= (= (tptp.hAPP (tptp.hAPP @t1973 @t349) @t610) (tptp.hAPP (tptp.hAPP @t1973 @t580) @t583)) (= @t820 @t821))))))) % 3.49/3.71 (assume @p1588 (forall @t456 (=> @t1980 (=> @t1351 (=> (= @t815 @t272) (= @t249 @t1981)))))) % 3.49/3.71 (assume @p1589 (forall @t1065 (=> @t1980 (=> @t1351 (=> (= @t272 @t815) (= @t1981 @t249)))))) % 3.49/3.71 (assume @p1590 (forall @t2020 (=> @t2019 (=> @t2010 (= @t2016 @t2015))))) % 3.49/3.71 (assume @p1591 (forall @t441 (=> @t2019 (=> @t2010 (= @t2013 @t2009))))) % 3.49/3.71 (assume @p1592 (forall @t368 (=> @t2019 (=> (not @t794) (= (= @t1996 @t709) @t703))))) % 3.49/3.71 (assume @p1593 (forall @t329 (=> @t1980 @t2022))) % 3.49/3.71 (assume @p1594 (forall @t329 (=> @t1979 (and (=> @t799 (= @t2021 @t326)) @t2022)))) % 3.49/3.71 (assume @p1595 (forall @t663 (=> @t1980 (=> @t798 @t1989)))) % 3.49/3.71 (assume @p1596 (forall @t663 (=> @t1980 (=> @t798 @t1991)))) % 3.49/3.71 (assume @p1597 (forall (@list @t65 @t249 @t272 @t66) (=> @t2023 (=> @t798 @t1992)))) % 3.49/3.71 (assume @p1598 (forall @t663 (=> @t1998 (=> @t798 @t1993)))) % 3.49/3.71 (assume @p1599 (forall @t1681 (=> @t1986 (= (tptp.hAPP @t2024 @t1676) (tptp.hAPP (tptp.hAPP @t1562 (tptp.hAPP @t2024 @t249)) @t65))))) % 3.49/3.71 (assume @p1600 (forall @t103 (=> @t1995 (=> @t1994 (tptp.c_Nat__Transfer_Ois__nat @t1292))))) % 3.49/3.71 (assume @p1601 (forall @t555 (=> @t1998 (=> @t2026 (=> @t2000 @t2025))))) % 3.49/3.71 (assume @p1602 (forall @t555 (=> @t1998 (=> @t2026 (=> @t2004 @t2028))))) % 3.49/3.71 (assume @p1603 (forall @t2034 (=> @t1998 (=> @t1124 (=> @t963 (=> @t2033 (=> @t2032 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2031) @t2030))))))))) % 3.49/3.71 (assume @p1604 (forall @t2034 (=> @t1998 (=> @t1124 (=> @t551 (=> @t2033 (=> @t2032 @t2035))))))) % 3.49/3.71 (assume @p1605 (forall @t2034 (=> @t1998 (=> @t888 (=> @t963 (=> @t2033 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t638) @t306)) @t2035))))))) % 3.49/3.71 (assume @p1606 (forall @t555 (=> @t1998 (=> @t1124 (=> @t2000 @t2028))))) % 3.49/3.71 (assume @p1607 (forall @t555 (=> @t1998 (=> @t1124 (=> @t2004 @t2025))))) % 3.49/3.71 (assume @p1608 (forall @t285 (=> @t1998 (=> @t446 (=> @t862 @t2039))))) % 3.49/3.71 (assume @p1609 (forall @t280 (=> @t1998 (=> @t659 (=> @t856 @t2039))))) % 3.49/3.71 (assume @p1610 (forall @t2020 (=> @t2043 (=> @t840 (= @t2042 @t2040))))) % 3.49/3.71 (assume @p1611 (forall @t441 (=> @t2043 (=> @t840 (= @t2045 @t2044))))) % 3.49/3.71 (assume @p1612 (forall @t2047 (=> @t1998 (=> @t2004 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t2046) @t101)) (tptp.hBOOL (tptp.hAPP @t650 @t1985))))))) % 3.49/3.71 (assume @p1613 (forall @t654 (=> @t1998 (=> @t2004 (=> (tptp.hBOOL (tptp.hAPP @t550 @t2046)) (tptp.hBOOL (tptp.hAPP @t2002 @t306))))))) % 3.49/3.71 (assume @p1614 (forall @t2020 (=> @t2043 (=> @t841 (= @t2042 @t2044))))) % 3.49/3.71 (assume @p1615 (forall @t441 (=> @t2043 (=> @t841 (= @t2045 @t2040))))) % 3.49/3.71 (assume @p1616 (forall @t2017 (=> @t1974 (= @t2042 (and (=> @t841 @t2044) (=> @t2049 (and (=> @t840 @t2040) (=> @t2048 @t516)))))))) % 3.49/3.71 (assume @p1617 (forall @t296 (=> @t1974 (= @t2045 (and (=> @t841 @t2040) (=> @t2049 (and (=> @t840 @t2044) (=> @t2048 @t500)))))))) % 3.49/3.71 (assume @p1618 (forall @t1759 (= @t2050 @t1003))) % 3.49/3.71 (assume @p1619 (forall @t2047 (=> @t1986 (=> @t2053 (= (tptp.hAPP @t1933 @t1985) @t2052))))) % 3.49/3.71 (assume @p1620 (forall @t2057 (=> @t2023 (=> @t2056 (= (tptp.hAPP @t1474 @t2055) (tptp.hAPP (tptp.hAPP @t1971 (tptp.hAPP (tptp.hAPP @t274 @t2054) @t100)) @t306)))))) % 3.49/3.71 (assume @p1621 (forall @t654 (=> @t1986 (=> @t2053 (= (tptp.hAPP @t2058 @t306) @t2052))))) % 3.49/3.71 (assume @p1622 (forall @t2057 (=> @t2023 (=> @t2056 (= (tptp.hAPP (tptp.hAPP @t274 @t2031) @t100) (tptp.hAPP @t2051 @t306)))))) % 3.49/3.71 (assume @p1623 (forall @t2062 (=> @t2023 (=> @t2053 (=> @t2056 (= (tptp.hAPP @t2058 @t2061) (tptp.hAPP (tptp.hAPP @t1971 (tptp.hAPP (tptp.hAPP @t274 @t804) @t2060)) @t2059))))))) % 3.49/3.71 (assume @p1624 (forall @t2062 (=> @t2023 (=> @t2053 (=> @t2056 (= (tptp.hAPP (tptp.hAPP @t1418 @t1985) @t2061) (tptp.hAPP (tptp.hAPP @t1971 (tptp.hAPP (tptp.hAPP @t1418 @t804) @t2060)) @t2059))))))) % 3.49/3.71 (assume @p1625 (forall @t2057 (=> @t2023 (=> @t2056 (= (tptp.hAPP (tptp.hAPP @t1418 @t2031) @t100) (tptp.hAPP (tptp.hAPP @t1971 (tptp.hAPP @t1475 @t2046)) @t306)))))) % 3.49/3.71 (assume @p1626 (forall @t2057 (=> @t2023 (=> @t2056 (= (tptp.hAPP @t1475 @t2055) (tptp.hAPP (tptp.hAPP @t1971 (tptp.hAPP (tptp.hAPP @t1418 @t2054) @t100)) @t306)))))) % 3.49/3.71 (assume @p1627 (forall @t2069 (=> @t2068 (= (= @t2067 @t168) (and (=> @t2066 (= @t21 @t2065)) @t2064))))) % 3.49/3.71 (assume @p1628 (forall @t2072 (=> @t2068 (= (= @t2012 @t1579) (and (=> @t2010 (= @t21 @t2071)) @t2070))))) % 3.49/3.71 (assume @p1629 (forall @t2073 (=> @t2068 (= (= @t1579 @t2012) (and (=> @t2010 (= @t2071 @t21)) @t2070))))) % 3.49/3.71 (assume @p1630 (forall @t2074 (=> @t2068 (= (= @t168 @t2067) (and (=> @t2066 (= @t2065 @t21)) @t2064))))) % 3.49/3.71 (assume @p1631 (forall @t509 (=> @t1998 (=> @t446 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t442 @t2075) @t272)))))) % 3.49/3.71 (assume @p1632 (forall @t509 (=> @t1998 (=> @t446 (tptp.hBOOL (tptp.hAPP @t445 @t2075)))))) % 3.49/3.71 (assume @p1633 (forall @t353 (=> @t2076 (= (tptp.hAPP @t1984 @t1823) @t326)))) % 3.49/3.71 (assume @p1634 (forall @t981 (=> @t1410 (=> @t2004 (= (tptp.hAPP (tptp.hAPP @t1971 @t1664) @t100) (tptp.hAPP @t1570 @t1985)))))) % 3.49/3.71 (assume @p1635 (forall @t329 (=> @t2077 (= (tptp.hAPP @t1978 @t1878) @t249)))) % 3.49/3.71 (assume @p1636 (forall @t353 (=> @t2077 (= (tptp.hAPP @t1984 @t1878) @t101)))) % 3.49/3.71 (assume @p1637 (forall @t353 (=> @t2076 (= (tptp.hAPP @t1984 @t1800) @t768)))) % 3.49/3.71 (assume @p1638 (= @t1967 (tptp.hAPP @t1962 tptp.c_Int_OPls))) % 3.49/3.71 (assume @p1639 (forall @t296 (=> @t1974 (= @t2080 (and (=> @t841 @t2079) (=> @t2049 (and (=> @t840 @t2078) (=> @t2048 @t1058)))))))) % 3.49/3.71 (assume @p1640 (forall @t2017 (=> @t1974 (= @t2082 (and (=> @t841 @t2078) (=> @t2049 (and (=> @t840 @t2079) (=> @t2048 @t1057)))))))) % 3.49/3.71 (assume @p1641 (forall @t441 (=> @t2043 (=> @t841 (= @t2080 @t2079))))) % 3.49/3.71 (assume @p1642 (forall @t2020 (=> @t2043 (=> @t841 (= @t2082 @t2078))))) % 3.49/3.71 (assume @p1643 (forall @t654 (=> @t1998 (=> @t2004 (=> (tptp.hBOOL (tptp.hAPP @t914 @t2046)) (tptp.hBOOL (tptp.hAPP @t2027 @t306))))))) % 3.49/3.71 (assume @p1644 (forall @t2047 (=> @t1998 (=> @t2004 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2046) @t101)) (tptp.hBOOL (tptp.hAPP @t982 @t1985))))))) % 3.49/3.71 (assume @p1645 (forall @t441 (=> @t2043 (=> @t840 (= @t2080 @t2078))))) % 3.49/3.71 (assume @p1646 (forall @t2020 (=> @t2043 (=> @t840 (= @t2082 @t2079))))) % 3.49/3.71 (assume @p1647 (forall @t280 (=> @t1998 (=> @t978 (=> @t1064 @t2083))))) % 3.49/3.71 (assume @p1648 (forall @t285 (=> @t1410 (=> @t977 (=> @t1077 @t2083))))) % 3.49/3.71 (assume @p1649 (forall @t2074 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t435 @t2067)) (and (=> @t2087 @t2089) (=> @t2088 (and (=> @t2084 @t2086) (=> @t2085 @t500)))))))) % 3.49/3.71 (assume @p1650 (forall @t2073 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t1626 @t2012)) (and (=> @t841 @t2092) (=> @t2049 (and (=> @t840 @t2091) (=> @t2048 @t2084)))))))) % 3.49/3.71 (assume @p1651 (forall @t2072 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t2041 @t1579)) (and (=> @t841 @t2091) (=> @t2049 (and (=> @t840 @t2092) (=> @t2048 @t2087)))))))) % 3.49/3.71 (assume @p1652 (forall @t2069 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t2067) @t168)) (and (=> @t2087 @t2086) (=> @t2088 (and (=> @t2084 @t2089) (=> @t2085 @t516)))))))) % 3.49/3.71 (assume @p1653 (forall (@list @t235 @t65 @t249 @t66) (=> @t2023 (=> @t800 (=> @t1044 (= (tptp.hAPP @t1675 @t1399) (tptp.hAPP (tptp.hAPP @t1971 @t1689) @t1676))))))) % 3.49/3.71 (assume @p1654 (forall @t353 (=> @t2076 (= (tptp.hAPP (tptp.hAPP @t1971 @t1800) @t101) (tptp.hAPP @t716 (tptp.hAPP @t2024 @t101)))))) % 3.49/3.71 (assume @p1655 (tptp.c_Nat__Transfer_Ois__nat @t1885)) % 3.49/3.71 (assume @p1656 (forall @t2069 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2067) @t168)) (and (=> @t2087 @t2094) (=> @t2088 (and (=> @t2084 @t2093) (=> @t2085 @t1057)))))))) % 3.49/3.71 (assume @p1657 (forall @t2072 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t2081 @t1579)) (and (=> @t841 @t2096) (=> @t2049 (and (=> @t840 @t2095) (=> @t2048 (tptp.hBOOL (tptp.hAPP @t1055 @t1579)))))))))) % 3.49/3.71 (assume @p1658 (forall @t2073 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t2097 @t2012)) (and (=> @t841 @t2095) (=> @t2049 (and (=> @t840 @t2096) (=> @t2048 (tptp.hBOOL (tptp.hAPP @t2097 @t331)))))))))) % 3.49/3.71 (assume @p1659 (forall @t2074 (=> @t2090 (= (tptp.hBOOL (tptp.hAPP @t1010 @t2067)) (and (=> @t2087 @t2093) (=> @t2088 (and (=> @t2084 @t2094) (=> @t2085 @t1058)))))))) % 3.49/3.71 (assume @p1660 (forall @t885 (and (=> @t2100 (= @t2099 @t65)) (=> (not @t2100) (= @t2099 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2098 @t1970) @t67)))))) % 3.49/3.71 (assume @p1661 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t1967) @t199)) % 3.49/3.71 (assume @p1662 (= (tptp.hAPP @t2101 @t1967) @t199)) % 3.49/3.71 (assume @p1663 (forall @t216 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t76 @t75 @t1967) @t76))) % 3.49/3.71 (assume @p1664 (forall (@list @t471 @t272) (and (=> @t2107 (= @t2103 @t1970)) (=> (not @t2107) (= @t2103 (tptp.hAPP (tptp.hAPP @t2102 @t1970) (tptp.c_Random_Olog @t272 (tptp.hAPP (tptp.hAPP @t1964 @t471) @t272)))))))) % 3.49/3.71 (assume @p1665 (forall @t555 (=> @t1998 (=> (forall (@list @t2108) (=> (tptp.hBOOL (tptp.hAPP @t510 @t2108)) (tptp.hBOOL (tptp.hAPP @t914 (tptp.hAPP @t806 @t2108))))) @t963)))) % 3.49/3.71 (assume @p1666 (forall (@list @t863 @t485 @t311) (and (=> @t2110 (= @t2109 (tptp.hAPP (tptp.hAPP @t1977 (tptp.hAPP (tptp.hAPP @t2102 @t863) @t311)) @t485))) (=> @t2111 (= @t2109 (tptp.hAPP (tptp.hAPP @t1977 @t311) @t485)))))) % 3.49/3.71 (assume @p1667 (forall (@list @t311 @t905) (and (=> @t2113 (= @t2112 @t1970)) (=> (not @t2113) (= @t2112 (tptp.hAPP (tptp.hAPP @t2102 @t311) @t1970)))))) % 3.49/3.71 (assume @p1668 (forall @t2116 (= (tptp.hAPP @t2101 @t2115) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t2101 @t2114)) @t259)))) % 3.49/3.71 (assume @p1669 (forall @t2116 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2115) (tptp.hAPP (tptp.hAPP @t260 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2114)) @t259)))) % 3.49/3.71 (assume @p1670 (forall @t425 (= @t2117 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t65) @t235)))) % 3.49/3.71 (assume @p1671 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t1977)) % 3.49/3.71 (assume @p1672 (forall (@list @t2118 @t2119) (= (= @t2120 (tptp.c_Code__Numeral_OSuc__code__numeral @t2118)) (= @t2119 @t2118)))) % 3.49/3.71 (assume @p1673 (forall (@list @t2121) (not (= @t1967 (tptp.c_Code__Numeral_OSuc__code__numeral @t2121))))) % 3.49/3.71 (assume @p1674 (forall (@list @t2122) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2122) @t1967)))) % 3.49/3.71 (assume @p1675 (forall @t2124 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t10 @t76 @t75 @t2120) @t2123))) % 3.49/3.71 (assume @p1676 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t1977 (tptp.c_Code__Numeral_OSuc__code__numeral @t65)) @t1970) @t65))) % 3.49/3.71 (assume @p1677 (forall @t948 (=> @t2132 (and (=> @t2129 (= @t2127 (tptp.hAPP @t2131 @t2128))) (=> (not @t2129) (= @t2127 (tptp.hAPP @t2126 (tptp.c_Divides_OnegDivAlg @t686 @t2125)))))))) % 3.49/3.71 (assume @p1678 (forall (@list @t1624 @t1766) (and (=> @t2140 (= @t2139 @t1771)) (=> (not @t2140) (= @t2139 (tptp.hAPP (tptp.hAPP @t2138 (tptp.hAPP @t1566 (tptp.hAPP (tptp.hAPP @t581 @t1624) (tptp.hAPP @t677 @t1766)))) @t2137)))))) % 3.49/3.71 (assume @p1679 (forall @t2124 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t76 @t75 @t2120) (tptp.hAPP @t2123 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t76 @t75 @t2119))))) % 3.49/3.71 (assume @p1680 (forall @t425 (=> @t457 (=> @t1044 (= @t2142 (tptp.hAPP (tptp.hAPP @t2141 @t1400) @t1442)))))) % 3.49/3.71 (assume @p1681 (forall @t1130 (= (not (= @t143 @t2143)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2106 @t1970) @t143))))) % 3.49/3.71 (assume @p1682 (forall @t1250 (and (=> @t2110 (= @t2144 @t485)) (=> @t2111 (= @t2144 @t1967))))) % 3.49/3.71 (assume @p1683 (forall @t237 (= (tptp.c_Divides_Odivmod__nat @t235 @t199) @t2146))) % 3.49/3.71 (assume @p1684 (forall @t468 (= (= @t2148 @t2147) @t465))) % 3.49/3.71 (assume @p1685 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 3.49/3.71 (assume @p1686 (forall @t341 (= @t1087 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t941 @t19))))) % 3.49/3.71 (assume @p1687 (forall @t305 (=> @t415 (= @t2142 @t2146)))) % 3.49/3.71 (assume @p1688 (forall @t460 (= @t418 @t1029))) % 3.49/3.71 (assume @p1689 (forall @t341 (= (tptp.hAPP @t1450 @t48) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t199 @t2149 @t1482)))) % 3.49/3.71 (assume @p1690 (forall @t1869 (= @t2154 (tptp.hAPP @t2153 @t2151)))) % 3.49/3.71 (assume @p1691 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t2157 @t2156) @t2155) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t937)))) % 3.49/3.71 (assume @p1692 (forall @t305 (= @t2142 @t2158))) % 3.49/3.71 (assume @p1693 (forall (@list @t580 @t583 @t10) (=> @t1577 (= (tptp.hAPP @t2162 @t2154) (tptp.hAPP @t2164 @t2161))))) % 3.49/3.71 (assume @p1694 (forall @t878 (= (tptp.hAPP @t2167 @t2154) (tptp.hAPP @t2168 (tptp.hAPP (tptp.hAPP @t2166 @t674) @t2165))))) % 3.49/3.71 (assume @p1695 (forall @t629 (= (tptp.c_Quickcheck_Obeyond @t311 @t1967) @t1967))) % 3.49/3.71 (assume @p1696 (forall @t1627 (=> @t1577 (= (tptp.hAPP @t2169 @t2154) (tptp.hAPP @t2170 @t2161))))) % 3.49/3.71 (assume @p1697 (forall (@list @t583 @t1104) (and (=> @t2172 (= @t2171 @t684)) (=> (not @t2172) (= @t2171 (tptp.hAPP (tptp.hAPP @t2138 (tptp.hAPP @t1520 @t1104)) @t2137)))))) % 3.49/3.71 (assume @p1698 (forall @t1250 (=> @t775 (=> (tptp.hBOOL (tptp.hAPP @t594 @t485)) (= (tptp.c_Divides_OnegDivAlg @t311 @t485) @t2173))))) % 3.49/3.71 (assume @p1699 (forall @t1219 (= (tptp.c_Divides_OnegDivAlg @t1789 @t272) (tptp.hAPP @t2131 @t1788)))) % 3.49/3.71 (assume @p1700 (forall @t571 (=> @t145 (= @t569 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t10 (tptp.hAPP (tptp.hAPP @t2174 @t287) @t709) @t19 @t331))))) % 3.49/3.71 (assume @p1701 (forall (@list @t1972 @t1387 @t21) (= (tptp.hAPP @t2183 @t2182) (tptp.hAPP (tptp.hAPP @t2181 (tptp.hAPP (tptp.hAPP @t1392 @t1972) @t21)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2176 @t2176) (tptp.hAPP (tptp.hAPP @t2180 (tptp.hAPP @t2179 @t901)) (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t581 @t2175) @t686)))) (tptp.hAPP (tptp.hAPP @t2130 @t2175) @t1972)))))) % 3.49/3.71 (assume @p1702 (= @t1967 @t2143)) % 3.49/3.71 (assume @p1703 (= @t1970 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t773))) % 3.49/3.71 (assume @p1704 (forall @t468 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2104 @t2148) @t2147)) @t419))) % 3.49/3.71 (assume @p1705 (forall @t2197 (= (= @t48 @t1771) @t2196))) % 3.49/3.71 (assume @p1706 (forall @t2198 (= (= @t1771 @t48) @t2196))) % 3.49/3.71 (assume @p1707 (forall @t2211 (= (tptp.c_Nat_Onat_Onat__case @t10 @t168 @t2 @t1771) (tptp.hAPP @t2210 (tptp.hAPP @t2208 @t2201))))) % 3.49/3.71 (assume @p1708 (forall @t2211 (= (tptp.hAPP @t2212 @t1771) (tptp.hAPP @t2210 (tptp.hAPP @t2208 (tptp.hAPP (tptp.hAPP @t2207 (tptp.hAPP @t2214 tptp.c_Int_Onat)) (tptp.hAPP @t2213 tptp.c_Int_Onat))))))) % 3.49/3.71 (assume @p1709 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t2102 @t2156) @t2155) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t302)))) % 3.49/3.71 (assume @p1710 (forall @t468 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2106 @t2148) @t2147)) @t1028))) % 3.49/3.71 (assume @p1711 (forall @t1869 (and (=> @t1875 (= @t2217 @t199)) (=> (not @t1875) (= @t2217 (tptp.hAPP @t2153 (tptp.hAPP @t2216 @t2151))))))) % 3.49/3.71 (assume @p1712 (forall @t2197 (= (tptp.hBOOL (tptp.hAPP @t2219 @t1771)) (tptp.hBOOL (tptp.hAPP @t2195 (tptp.hAPP @t2194 (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t2218 @t418) tptp.c_Int_Onat)))))))) % 3.49/3.71 (assume @p1713 (forall @t2198 (= (tptp.hBOOL (tptp.hAPP @t1832 @t48)) (tptp.hBOOL (tptp.hAPP @t2195 (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP (tptp.hAPP @t2185 @t404) tptp.c_Int_Onat)) @t19))))))) % 3.49/3.71 (assume @p1714 (forall @t2197 (= (tptp.hBOOL (tptp.hAPP @t1029 @t1771)) (tptp.hBOOL (tptp.hAPP @t2195 (tptp.hAPP @t2194 (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t2218 @t1015) tptp.c_Int_Onat)))))))) % 3.49/3.71 (assume @p1715 (forall @t2198 (= (tptp.hBOOL (tptp.hAPP @t1833 @t48)) (tptp.hBOOL (tptp.hAPP @t2195 (tptp.hAPP @t2192 (tptp.hAPP (tptp.hAPP @t2186 (tptp.hAPP (tptp.hAPP @t2185 @t915) tptp.c_Int_Onat)) @t19))))))) % 3.49/3.71 (assume @p1716 (forall @t425 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t2156) @t2155) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1433)))) % 3.49/3.71 (assume @p1717 (forall @t2224 (= (tptp.c_Nat_Onat_Onat__case @t10 @t168 @t2 @t2223) (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t2207 (tptp.hAPP @t2206 (tptp.c_Nat_Onat_Onat__case @t10 @t168 @t2 @t19))) (tptp.hAPP @t2200 @t2222)))))) % 3.49/3.71 (assume @p1718 (forall @t2224 (= (tptp.hAPP @t2212 @t2223) (tptp.hAPP @t2210 (tptp.hAPP (tptp.hAPP @t2207 (tptp.hAPP @t2206 (tptp.hAPP @t2212 @t19))) (tptp.hAPP (tptp.hAPP @t2207 (tptp.hAPP @t2214 @t2222)) (tptp.hAPP @t2213 @t2222))))))) % 3.49/3.71 (assume @p1719 (forall @t752 (=> @t1577 (and (=> @t2226 (= @t2225 (tptp.hAPP @t2164 (tptp.hAPP (tptp.hAPP @t2160 (tptp.hAPP @t2230 @t2228)) @t2159)))) (=> @t2227 (= @t2225 @t709)))))) % 3.49/3.71 (assume @p1720 (forall @t587 (and (=> @t2226 (= @t2231 (tptp.hAPP @t2168 (tptp.hAPP (tptp.hAPP @t2166 (tptp.hAPP (tptp.hAPP @t2233 @t674) (tptp.hAPP @t674 @t583))) @t2165)))) (=> @t2227 (= @t2231 @t686))))) % 3.49/3.71 (assume @p1721 (forall @t1230 (and (=> @t2239 @t2240) (=> (not @t2239) @t2236)))) % 3.49/3.71 (assume @p1722 (forall (@list @t1624 @t580 @t10) (=> @t1577 (and (=> @t2226 (= @t2241 (tptp.hAPP @t2170 (tptp.hAPP (tptp.hAPP @t2160 (tptp.hAPP @t2230 (tptp.hAPP @t704 @t1625))) @t2159)))) (=> @t2227 (= @t2241 @t709)))))) % 3.49/3.71 (assume @p1723 (forall @t216 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t10 @t76 @t75 @t1967) @t76))) % 3.49/3.71 (assume @p1724 (forall @t1240 (=> @t1242 (and (=> @t2238 @t2240) (=> (not @t2238) @t2236))))) % 3.49/3.71 (assume @p1725 (forall @t1703 (=> @t2247 (and (=> @t2246 (= @t2244 (tptp.hAPP @t2131 @t2245))) (=> (not @t2246) (= @t2244 (tptp.hAPP @t2243 (tptp.c_Divides_OnegDivAlg @t1701 @t2242)))))))) % 3.49/3.71 (assume @p1726 (forall @t1337 @t2255)) % 3.49/3.71 (assume @p1727 (forall @t948 (=> @t2132 (and (=> @t2257 (= @t2256 @t2253)) (=> (not @t2257) (= @t2256 (tptp.hAPP @t2126 (tptp.c_Divides_OposDivAlg @t686 @t2125)))))))) % 3.49/3.71 (assume @p1728 (forall @t1230 (and (=> @t2260 @t2261) (=> (not @t2260) @t2259)))) % 3.49/3.71 (assume @p1729 (forall (@list @t21) (= @t2183 (tptp.hAPP @t2271 (tptp.hAPP (tptp.hAPP @t2270 (tptp.hAPP @t2269 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2248 @t2268 tptp.tc_Int_Oint) (tptp.hAPP @t2180 (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t2267 @t901) @t2263)))) (tptp.hAPP (tptp.hAPP @t2266 (tptp.hAPP @t2265 (tptp.hAPP @t2249 (tptp.hAPP (tptp.hAPP @t2262 (tptp.hAPP @t2264 @t1892)) @t686)))) @t2263)))) (tptp.hAPP @t2249 @t1892)))))) % 3.49/3.71 (assume @p1730 (forall @t1703 (=> @t2247 (and (=> @t2274 (= @t2272 (tptp.hAPP @t2252 @t1701))) (=> (not @t2274) (= @t2272 (tptp.hAPP @t2243 (tptp.c_Divides_OposDivAlg @t1701 @t2242)))))))) % 3.49/3.71 (assume @p1731 (forall @t1240 (=> @t1242 (and (=> @t1257 @t2261) (=> (not @t1257) @t2259))))) % 3.49/3.71 (assume @p1732 (forall @t1219 (= (tptp.c_Divides_OposDivAlg @t575 @t272) @t2275))) % 3.49/3.71 (assume @p1733 (forall @t1250 (=> (tptp.hBOOL (tptp.hAPP @t901 @t311)) (=> @t1281 (= (tptp.c_Divides_OposDivAlg @t311 @t485) @t2173))))) % 3.49/3.71 (assume @p1734 (forall @t2285 (=> @t2284 (and (=> @t1277 (= @t2282 @t331)) (=> @t2283 (and (=> @t1274 (= @t2282 (tptp.hAPP @t700 (tptp.hAPP @t669 (tptp.hAPP @t677 @t316))))) (=> (not @t1274) (= @t2282 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2281 @t2280) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2279 (tptp.tc_fun @t2281 @t2280) tptp.tc_Int_Oint) (tptp.c_COMBB @t2203 @t10 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2279 tptp.tc_Int_Oint) @t2163) @t669))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2203 @t2203) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2204 (tptp.tc_fun @t2203 @t2203) tptp.tc_Int_Oint) @t2160) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2203 @t2204) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2204 (tptp.tc_fun @t2203 @t2204) tptp.tc_Int_Oint) @t2229) (tptp.hAPP @t2205 @t2278))) @t2276))) (tptp.hAPP (tptp.hAPP @t2174 (tptp.hAPP (tptp.hAPP @t2229 @t287) @t2276)) @t709)))) (tptp.c_Divides_Odivmod__int @t316 @t1891)))))))))) % 3.49/3.71 (assume @p1735 (forall (@list @t20) (= (tptp.c_Hoare__Mirabelle_OMGT @t20) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) tptp.c_fequal) @t20) @t222)))) % 3.49/3.71 (assume @p1736 (forall @t2289 (=> (tptp.hBOOL (tptp.hAPP @t2288 @t2287)) (=> @t1384 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1308 @t87) (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t1307 @t1142)) (tptp.hAPP (tptp.hAPP @t1295 @t2286) @t87))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2286 @t87)))))))) % 3.49/3.71 (assume @p1737 (forall @t2290 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t249 @t272) @t2287)) (=> (tptp.hBOOL (tptp.hAPP @t405 @t272)) (=> @t1384 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t249 @t1306) (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP (tptp.hAPP @t1295 @t1142) @t87)) @t1383)))))))) % 3.49/3.71 (assume @p1738 (forall @t1364 (=> (tptp.hBOOL (tptp.hAPP @t2298 @t2297)) (and (=> @t2296 (= @t2292 (tptp.hAPP @t2131 @t2295))) (=> (not @t2296) (= @t2292 (tptp.hAPP @t2183 (tptp.c_Divides_OnegDivAlg @t168 @t2291)))))))) % 3.49/3.71 (assume @p1739 (forall (@list @t168 @t21 @t1972 @t10) (=> (tptp.hBOOL (tptp.hAPP @t2299 @t21)) (=> @t2301 @t2300)))) % 3.49/3.71 (assume @p1740 (forall @t2302 (= @t2300 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1972 @t4) @t168)) (tptp.hBOOL (tptp.hAPP @t2299 @t4))))))) % 3.49/3.71 (assume @p1741 (forall (@list @t2303 @t2304 @t65 @t235) (=> @t2306 (=> (tptp.hBOOL (tptp.hAPP @t2305 @t2303)) (= @t2304 @t2303))))) % 3.49/3.71 (assume @p1742 (forall @t2313 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t2307) @t2308)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.c_Wellfounded_Oaccp @t10 @t2308)) (tptp.c_Wellfounded_Oaccp @t10 @t2307)))))) % 3.49/3.71 (assume @p1743 (forall (@list @t2304 @t65 @t235) (=> @t2306 (= @t2142 @t2304)))) % 3.49/3.71 (assume @p1744 (forall @t305 (tptp.hBOOL (tptp.hAPP @t2305 @t2142)))) % 3.49/3.71 (assume @p1745 (forall @t2315 (=> @t2314 (= @t1312 @t863)))) % 3.49/3.71 (assume @p1746 (forall @t2315 (=> @t2314 (= @t1311 @t1142)))) % 3.49/3.71 (assume @p1747 (forall @t305 (tptp.hBOOL (tptp.hAPP @t2305 @t2158)))) % 3.49/3.71 (assume @p1748 (forall (@list @t1142 @t1598) (= (tptp.c_Divides_Odivmod__int @t1598 @t1142) (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t1285 @t1598) @t1142)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1598 @t1142))))) % 3.49/3.71 (assume @p1749 (forall @t2321 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t249 @t87) (tptp.hAPP (tptp.hAPP @t2141 @t2320) @t2317))) (=> (tptp.hBOOL (tptp.hAPP @t2288 (tptp.hAPP (tptp.hAPP @t2141 @t2319) @t2316))) (=> @t1384 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1300 @t87) (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 @t2320) @t2319)) (tptp.hAPP (tptp.hAPP @t1295 @t2318) @t87))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2318 @t87))))))))) % 3.49/3.71 (assume @p1750 (forall @t1364 (=> (tptp.hBOOL (tptp.hAPP @t2324 @t2297)) (and (=> @t2323 (= @t2322 (tptp.hAPP @t2252 @t168))) (=> (not @t2323) (= @t2322 (tptp.hAPP @t2183 (tptp.c_Divides_OposDivAlg @t168 @t2291)))))))) % 3.49/3.71 (assume @p1751 (forall @t1364 (=> (tptp.hBOOL (tptp.hAPP @t2325 @t2297)) @t2255))) % 3.49/3.71 (assume @p1752 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t2329 (tptp.hAPP (tptp.hAPP @t2328 (tptp.hAPP @t2191 (tptp.hAPP @t2193 @t594))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2326) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2327 @t2327 tptp.tc_Int_Oint) @t2277) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2327 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2326 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t686))))) % 3.49/3.71 (assume @p1753 (forall @t1230 (and (=> @t1258 (and (=> @t2334 (= @t2331 @t2258)) (=> (not @t2334) (and (=> @t1341 (= @t2331 @t2275)) (=> @t1342 (= @t2331 @t2333)))))) (=> (not @t1258) (and (=> @t1242 (= @t2331 @t2235)) (=> @t2332 (= @t2331 @t2330))))))) % 3.49/3.71 (assume @p1754 (forall @t2346 (=> (tptp.hBOOL (tptp.hAPP @t2298 @t2345)) (=> (forall @t2344 (=> (tptp.hBOOL (tptp.hAPP @t2298 @t2343)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t901 (tptp.hAPP (tptp.hAPP @t581 @t402) @t2338))) @t2342)) @t2341) @t2340))) @t2337)))) % 3.49/3.71 (assume @p1755 (forall (@list @t863 @t1142) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t2348) (tptp.hAPP @t2347 (tptp.hAPP @t677 @t863))))) % 3.49/3.71 (assume @p1756 (forall (@list @t92 @t10 @t21 @t168 @t2) (=> @t2356 @t2353))) % 3.49/3.71 (assume @p1757 (forall (@list @t92 @t10 @t21 @t168 @t76) (=> (tptp.hBOOL @t529) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2352 @t76) @t2351))))) % 3.49/3.71 (assume @p1758 (forall @t2346 (=> (tptp.hBOOL (tptp.hAPP @t2324 @t2345)) (=> (forall @t2344 (=> (tptp.hBOOL (tptp.hAPP @t2324 @t2343)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t402) @t2338)) @t2342)) @t2341) @t2340))) @t2337)))) % 3.49/3.71 (assume @p1759 (forall @t614 (=> (tptp.hBOOL (tptp.hAPP @t2361 @t2359)) (and (=> @t2358 (= @t2357 @t349)) (=> (not @t2358) (= @t2357 (tptp.c_Nitpick_Onat__gcd @t610 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t349 @t610)))))))) % 3.49/3.71 (assume @p1760 (forall @t1479 (and @t2370 (=> @t2283 (and @t2369 (=> @t2368 (= @t2366 (tptp.hAPP @t2365 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2177 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t594 @t1477)) @t1404)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t584 @t1477) @t575)) @t1273))) @t2362) @t2363))))))))) % 3.49/3.71 (assume @p1761 (forall (@list @t610 @t349 @t2 @t10 @t92 @t530) (= (tptp.hAPP @t2375 @t2374) (tptp.hAPP @t2372 @t2371)))) % 3.49/3.71 (assume @p1762 (forall (@list @t92 @t10 @t55) (= @t1103 (forall @t2344 (tptp.hBOOL (tptp.hAPP @t55 @t2376)))))) % 3.49/3.71 (assume @p1763 (forall @t433 (= (= @t2351 @t2377) @t432))) % 3.49/3.71 (assume @p1764 (forall (@list @t541 @t360 @t272 @t249 @t10 @t66) (=> (= @t2379 (tptp.hAPP (tptp.hAPP @t2378 @t360) @t541)) (not (=> (= @t249 @t360) (not (= @t272 @t541))))))) % 3.49/3.71 (assume @p1765 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t677))) % 3.49/3.71 (assume @p1766 (forall (@list @t20 @t530 @t92 @t10 @t1387 @t1553) (=> (= @t1553 @t1387) (= (tptp.hAPP @t2381 @t1553) (tptp.hAPP @t2381 @t1387))))) % 3.49/3.71 (assume @p1767 (forall @t532 (= (tptp.hAPP (tptp.hAPP @t2384 @t76) @t2383) @t529))) % 3.49/3.71 (assume @p1768 (forall @t2386 (= (tptp.hAPP @t2385 @t2383) @t2355))) % 3.49/3.71 (assume @p1769 (forall @t2387 (=> @t2353 @t2356))) % 3.49/3.71 (assume @p1770 (forall @t2391 (= (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 @t2389 @t10) (tptp.hAPP (tptp.c_COMBB @t2388 @t530 @t92) @t2)) @t2349)) @t2))) % 3.49/3.71 (assume @p1771 (forall (@list @t1553 @t1 @t2392 @t2394 @t2 @t10 @t530 @t92) (= (tptp.hAPP @t2385 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2394 @t2392 @t2393) @t1) @t1553)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2394 @t2392 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2392 @t2393) (tptp.tc_fun @t2392 @t10) @t2394) (tptp.hAPP (tptp.c_COMBB @t2393 @t10 @t2392) @t2385)) @t1)) @t1553)))) % 3.49/3.71 (assume @p1772 (forall @t1250 (= @t2397 (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t1285 @t2396) @t2395)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2396 @t2395))))) % 3.49/3.71 (assume @p1773 (forall @t1283 (and (=> @t2398 (= @t2397 (tptp.hAPP @t2252 @t2396))) (=> (not @t2398) (= @t2397 (tptp.c_Divides_OposDivAlg @t2396 @t2395)))))) % 3.49/3.71 (assume @p1774 (forall @t1479 (and @t2370 (=> @t2283 (and @t2369 (=> @t2368 (= @t2366 (tptp.hAPP @t2365 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2177 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t316)) @t2364)) @t2362) @t2363))))))))) % 3.49/3.71 (assume @p1775 (forall @t425 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t65 @t235) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t2400) @t2399)))) % 3.49/3.71 (assume @p1776 (forall @t2290 (=> @t2402 (=> @t1396 (=> @t1199 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t249 @t1201) (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t1285 @t1142) @t87)) @t1198)))))))) % 3.49/3.71 (assume @p1777 (forall @t948 (=> @t2406 (= @t2405 (tptp.hAPP @t2404 @t2403))))) % 3.49/3.71 (assume @p1778 (forall @t1364 (= @t2411 (tptp.hAPP @t2329 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2326 @t2326) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2409 @t2410 tptp.tc_Int_Oint) @t2191) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2326 @t2409 tptp.tc_Int_Oint) @t2193) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2326 tptp.tc_Int_Oint) (tptp.hAPP @t2267 @t2408)) (tptp.hAPP @t2264 (tptp.hAPP @t674 @t21)))))) (tptp.hAPP (tptp.hAPP @t2191 (tptp.hAPP @t2193 (tptp.hAPP (tptp.hAPP @t2187 (tptp.hAPP tptp.c_fimplies @t1335)) (tptp.hAPP @t2407 (tptp.hAPP (tptp.hAPP @t2277 @t584) @t21))))) (tptp.hAPP (tptp.hAPP @t2187 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t1335))) (tptp.hAPP (tptp.hAPP @t2191 (tptp.hAPP @t2193 @t1338)) (tptp.hAPP (tptp.hAPP @t2277 @t900) @t575))))))))) % 3.49/3.71 (assume @p1779 (forall @t2346 (=> (tptp.hBOOL (tptp.hAPP @t2325 @t2345)) (=> (forall @t2344 (=> (tptp.hBOOL (tptp.hAPP @t2325 @t2343)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t2338) @t575)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t677 @t402)) (tptp.hAPP @t677 @t2338)))) @t2340))) @t2337)))) % 3.49/3.71 (assume @p1780 (forall (@list @t20 @t21 @t168 @t2412 @t530 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2414 @t2412) @t2351) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2412 @t168) @t21) @t20))))) % 3.49/3.71 (assume @p1781 (forall (@list @t272 @t249 @t66 @t10) (= (tptp.hAPP @t2416 (tptp.hAPP (tptp.hAPP @t2415 @t249) @t272)) @t272))) % 3.49/3.71 (assume @p1782 (forall (@list @t249 @t100 @t101 @t66 @t10) (=> (= (tptp.hAPP @t2416 (tptp.hAPP (tptp.hAPP @t2415 @t101) @t100)) @t249) (= @t100 @t249)))) % 3.49/3.71 (assume @p1783 (forall (@list @t1 @t349 @t2 @t10 @t92 @t530) (= (= @t2418 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t530 @t92 @t10 @t1) @t349)) (= (tptp.hAPP @t2 @t2417) (tptp.hAPP @t1 @t2417))))) % 3.49/3.71 (assume @p1784 (forall @t567 (= (tptp.hAPP @t2421 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t530 @t10 @t92 @t2) @t349)) (tptp.hAPP @t2 @t2420)))) % 3.49/3.71 (assume @p1785 (forall (@list @t1553 @t10 @t92) (= @t2422 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t10 @t10) (tptp.hAPP (tptp.c_COMBK @t2203 @t92) @t2159)) @t1553)))) % 3.49/3.71 (assume @p1786 (forall @t1230 (= @t1227 (tptp.hAPP @t2404 @t2331)))) % 3.49/3.71 (assume @p1787 (forall @t1219 (=> @t1396 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t575 @t272) @t2275))))) % 3.49/3.71 (assume @p1788 (forall @t2424 (=> @t2423 (=> @t1342 (= @t863 @t575))))) % 3.49/3.71 (assume @p1789 (forall @t2426 (=> @t2402 (=> @t2425 (=> @t1396 (= @t1142 @t1151)))))) % 3.49/3.71 (assume @p1790 (forall @t2426 (=> @t2402 (=> @t2425 (=> @t1396 (= @t863 @t1153)))))) % 3.49/3.71 (assume @p1791 (forall (@list @t2304 @t272 @t249) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1229 @t1228) @t2304)) (tptp.hBOOL (tptp.hAPP @t2401 (tptp.hAPP tptp.c_Divides_OnegateSnd @t2304)))))) % 3.49/3.71 (assume @p1792 (forall @t1240 (=> @t1396 (tptp.hBOOL (tptp.hAPP @t2401 @t2331))))) % 3.49/3.71 (assume @p1793 (forall @t2424 (=> @t2423 (=> @t1342 (= @t1142 @t686))))) % 3.49/3.71 (assume @p1794 (forall @t2427 (=> @t2402 (=> @t1396 (= @t1227 @t863))))) % 3.49/3.71 (assume @p1795 (forall @t2427 (=> @t2402 (=> @t1396 (= @t1290 @t1142))))) % 3.49/3.71 (assume @p1796 (forall @t1230 (=> @t1340 (=> @t1242 (tptp.hBOOL (tptp.hAPP @t2401 @t2235)))))) % 3.49/3.71 (assume @p1797 (forall @t1230 (=> @t1340 (=> @t1242 (= @t1227 (tptp.hAPP @t2404 @t2235)))))) % 3.49/3.71 (assume @p1798 (forall @t1240 (=> @t1396 (tptp.hBOOL (tptp.hAPP @t2401 (tptp.hAPP (tptp.hAPP @t2130 @t1290) @t1227)))))) % 3.49/3.71 (assume @p1799 (forall @t1230 (=> @t1258 (=> @t1242 (tptp.hBOOL (tptp.hAPP @t2401 @t2258)))))) % 3.49/3.71 (assume @p1800 (forall @t1230 (=> @t1148 (=> @t2334 (= @t1227 (tptp.hAPP @t2404 @t2258)))))) % 3.49/3.71 (assume @p1801 (forall @t948 (=> @t1897 (= @t2405 (tptp.hAPP @t2404 @t2256))))) % 3.49/3.71 (assume @p1802 (forall @t2321 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t249 @t87) (tptp.hAPP (tptp.hAPP @t2130 @t2320) @t2317))) (=> (tptp.hBOOL (tptp.hAPP @t2430 (tptp.hAPP (tptp.hAPP @t2130 @t2319) @t2316))) (=> @t2429 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1265 @t87) (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP (tptp.hAPP @t581 @t2320) @t2319)) (tptp.hAPP (tptp.hAPP @t1285 @t2428) @t87))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2428 @t87))))))))) % 3.49/3.71 (assume @p1803 (forall (@list @t1972 @t1387 @t21 @t168) (=> (tptp.hBOOL (tptp.hAPP @t2411 @t2182)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2254 @t21) (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t2431 @t2432) (tptp.hAPP (tptp.hAPP @t1392 @t2432) @t686))) (tptp.hAPP (tptp.hAPP @t2431 @t575) (tptp.hAPP (tptp.hAPP @t1392 @t21) @t1972)))))))) % 3.49/3.71 (assume @p1804 (forall @t1230 (=> @t1148 (=> @t1239 (= @t1227 (tptp.hAPP @t2404 @t2333)))))) % 3.49/3.71 (assume @p1805 (forall @t468 (and (=> @t2435 (= @t2434 (tptp.hAPP @t2145 @t314))) (=> (not @t2435) (= @t2434 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2360) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2433 tptp.tc_Nat_Onat) @t2141) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1482 @t19))))))) % 3.49/3.71 (assume @p1806 (forall @t2427 (=> (= @t249 @t1165) (=> (and (=> @t1242 (and @t1144 @t1163)) (=> @t2332 (and @t1173 @t1174))) @t2402)))) % 3.49/3.71 (assume @p1807 (forall @t1230 (=> @t1340 (=> @t2237 (= @t1227 (tptp.hAPP @t2404 @t2330)))))) % 3.49/3.71 (assume @p1808 (forall @t2289 (=> (tptp.hBOOL (tptp.hAPP @t2430 @t2348)) (=> @t2429 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1220 @t87) (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP (tptp.hAPP @t581 @t1146) (tptp.hAPP (tptp.hAPP @t1285 @t2436) @t87))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2436 @t87)))))))) % 3.49/3.71 (assume @p1809 (forall @t2442 (=> @t2441 (=> @t2439 @t2437)))) % 3.49/3.71 (assume @p1810 (forall @t948 (=> @t2406 (= @t2444 (tptp.hAPP @t2443 @t2403))))) % 3.49/3.71 (assume @p1811 (forall @t2346 (=> (tptp.hBOOL (tptp.hAPP @t2361 (tptp.hAPP (tptp.hAPP @t2141 @t2335) @t33))) (=> (forall @t2447 (=> (tptp.hBOOL (tptp.hAPP @t2361 @t2446)) (=> (=> (not (= @t267 @t199)) (tptp.hBOOL (tptp.hAPP @t2445 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4 @t267)))) (tptp.hBOOL (tptp.hAPP @t1094 @t267))))) @t2337)))) % 3.49/3.71 (assume @p1812 (forall @t1230 (=> @t1340 (=> @t2237 (= @t1290 (tptp.hAPP @t2443 @t2330)))))) % 3.49/3.71 (assume @p1813 (forall @t2197 (= (tptp.hAPP @t2453 @t1771) (tptp.hAPP @t2452 (tptp.hAPP @t2136 (tptp.hAPP @t2451 (tptp.hAPP (tptp.hAPP @t2450 @t2449) tptp.c_Int_Onat))))))) % 3.49/3.71 (assume @p1814 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t2448 @t199) @t65) @t199))) % 3.49/3.71 (assume @p1815 (forall @t96 (= (tptp.hAPP @t2454 @t199) @t199))) % 3.49/3.71 (assume @p1816 (forall @t305 (= (tptp.hAPP (tptp.hAPP @t2448 @t236) @t67) (tptp.hAPP tptp.c_Nat_OSuc @t2455)))) % 3.49/3.71 (assume @p1817 (forall @t2461 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2460) @t583)) (or @t2457 @t2456))))) % 3.49/3.71 (assume @p1818 (forall @t555 (=> @t625 (tptp.hBOOL (tptp.hAPP @t2465 @t101))))) % 3.49/3.71 (assume @p1819 (forall @t555 (=> @t625 (tptp.hBOOL (tptp.hAPP @t2465 @t100))))) % 3.49/3.71 (assume @p1820 (forall @t623 (=> @t622 (= @t968 (= @t2460 @t349))))) % 3.49/3.71 (assume @p1821 (forall @t2461 (=> @t622 (= (tptp.hBOOL (tptp.hAPP @t967 (tptp.hAPP (tptp.hAPP @t2458 @t610) @t583))) @t2466)))) % 3.49/3.71 (assume @p1822 (forall @t2472 (=> @t625 (=> @t2471 @t2470)))) % 3.49/3.71 (assume @p1823 (forall @t2474 (=> @t625 (=> @t2473 @t2470)))) % 3.49/3.71 (assume @p1824 (forall @t555 (=> @t625 (=> @t963 (= @t2464 @t101))))) % 3.49/3.71 (assume @p1825 (forall @t981 (=> @t625 (=> @t962 (= @t2464 @t100))))) % 3.49/3.71 (assume @p1826 (forall @t2477 (=> @t625 (=> @t1137 (=> @t2476 @t2475))))) % 3.49/3.71 (assume @p1827 (forall @t657 (=> @t625 (=> @t963 (=> @t979 (tptp.hBOOL (tptp.hAPP @t914 @t2479))))))) % 3.49/3.71 (assume @p1828 (forall @t1619 (=> @t625 (=> @t972 (=> @t2480 (tptp.hBOOL (tptp.hAPP @t2469 (tptp.hAPP (tptp.hAPP @t2462 @t87) @t370)))))))) % 3.49/3.71 (assume @p1829 (forall @t2477 (=> @t625 (=> @t2475 @t2481)))) % 3.49/3.71 (assume @p1830 (forall @t657 (=> @t1020 (= (tptp.hAPP (tptp.hAPP @t1418 @t2464) @t306) (tptp.hAPP (tptp.hAPP @t2462 @t2483) @t2482))))) % 3.49/3.71 (assume @p1831 (forall @t2472 (=> @t625 (=> @t2485 @t2484)))) % 3.49/3.71 (assume @p1832 (forall @t2474 (=> @t625 (=> @t2486 @t2484)))) % 3.49/3.71 (assume @p1833 (forall @t2461 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t2460) @t583)) (or @t2488 @t2487))))) % 3.49/3.71 (assume @p1834 (forall @t2492 (=> @t622 (= (tptp.hBOOL (tptp.hAPP @t2489 @t2460)) (and @t2491 @t2490))))) % 3.49/3.71 (assume @p1835 (forall @t657 (=> @t454 (= (tptp.hAPP (tptp.hAPP @t274 @t2464) @t306) (tptp.hAPP (tptp.hAPP @t2462 @t2493) @t807))))) % 3.49/3.71 (assume @p1836 (forall @t657 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2462 @t2464) @t306) @t2494)))) % 3.49/3.71 (assume @p1837 (forall @t285 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2462 @t2468) @t87) @t2496)))) % 3.49/3.71 (assume @p1838 (forall @t657 (=> @t625 (= @t2494 (tptp.hAPP @t2478 @t2497))))) % 3.49/3.71 (assume @p1839 (forall @t280 (=> @t625 (= (tptp.hAPP @t2495 (tptp.hAPP @t2467 @t87)) @t2496)))) % 3.49/3.71 (assume @p1840 (forall @t555 (=> @t625 (= (tptp.hAPP @t2463 @t2464) @t2464)))) % 3.49/3.71 (assume @p1841 (forall @t509 (=> @t625 (= (tptp.hAPP @t2467 @t2468) @t2468)))) % 3.49/3.71 (assume @p1842 (forall @t555 (=> @t625 (= @t2464 @t2498)))) % 3.49/3.71 (assume @p1843 (forall @t509 (=> @t625 (= @t2468 (tptp.hAPP @t2495 @t249))))) % 3.49/3.71 (assume @p1844 (forall @t329 (=> @t625 (= (tptp.hAPP @t2467 @t249) @t249)))) % 3.49/3.71 (assume @p1845 (forall (@list @t65 @t471 @t235) (= (tptp.hAPP (tptp.hAPP @t2448 (tptp.hAPP @t1398 @t471)) @t1455) (tptp.hAPP (tptp.hAPP @t1397 @t2455) @t471)))) % 3.49/3.71 (assume @p1846 (forall (@list @t249 @t100 @t101 @t10 @t66) (=> (= (tptp.hAPP @t2500 @t2499) @t249) (= @t101 @t249)))) % 3.49/3.71 (assume @p1847 (forall @t527 (= (tptp.hAPP @t2500 @t2379) @t249))) % 3.49/3.71 (assume @p1848 (forall (@list @t1142 @t1598 @t10 @t66) (=> (= @t2503 (tptp.hAPP @t2500 @t1142)) (=> (= @t2502 (tptp.hAPP @t2501 @t1142)) (= @t1598 @t1142))))) % 3.49/3.71 (assume @p1849 (forall (@list @t92 @t10 @t62 @t18) (= @t2506 (and (= (tptp.hAPP @t2505 @t18) (tptp.hAPP @t2505 @t62)) (= (tptp.hAPP @t2504 @t18) (tptp.hAPP @t2504 @t62)))))) % 3.49/3.71 (assume @p1850 (forall @t2507 (= (tptp.hAPP @t2505 @t2418) (tptp.hAPP (tptp.c_Product__Type_Ofst @t10 @t530) @t349)))) % 3.49/3.71 (assume @p1851 (forall (@list @t1553 @t92 @t10) (= @t2509 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t10) @t2508) @t1553)))) % 3.49/3.71 (assume @p1852 (forall @t2516 (=> @t2515 (and (=> @t2512 (= @t2511 @t2510)) (=> @t2513 (= @t2511 @t1628)))))) % 3.49/3.71 (assume @p1853 (forall (@list @t10 @t66 @t64) (= @t64 (tptp.hAPP (tptp.hAPP @t2378 (tptp.hAPP @t2500 @t64)) (tptp.hAPP @t2501 @t64))))) % 3.49/3.71 (assume @p1854 (forall (@list @t1598 @t10 @t66) (= (tptp.hAPP (tptp.hAPP @t2378 @t2503) @t2502) @t1598))) % 3.49/3.71 (assume @p1855 (forall (@list @t1553 @t2 @t10 @t530 @t92) (= (tptp.hAPP @t2385 @t1553) (tptp.hAPP (tptp.hAPP @t2 @t2519) @t2517)))) % 3.49/3.71 (assume @p1856 (forall @t1230 (= @t1290 (tptp.hAPP @t2443 @t2331)))) % 3.49/3.71 (assume @p1857 (forall @t305 (= @t1312 (tptp.hAPP @t2520 @t2142)))) % 3.49/3.71 (assume @p1858 (forall (@list @t583 @t55 @t10 @t530 @t92) (= (tptp.hAPP (tptp.hAPP @t2384 @t55) @t583) (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t2518 @t583)) (tptp.hAPP @t2419 @t583))))) % 3.49/3.71 (assume @p1859 (forall (@list @t1 @t2 @t2394 @t530 @t92 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2388 @t92 @t530) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2394 @t2389 @t2388) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2394 @t2388) @t1) @t2505))) @t2504) (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2394 @t2389 @t10) @t2) @t1))))) % 3.49/3.71 (assume @p1860 (forall (@list @t1553 @t20 @t10 @t530 @t92) (= (tptp.hAPP (tptp.hAPP @t2384 @t20) @t1553) (tptp.hAPP (tptp.hAPP @t20 @t2519) @t2517)))) % 3.49/3.71 (assume @p1861 (forall @t2526 (=> @t2441 (=> @t2525 (= (tptp.hAPP @t2524 (tptp.hAPP @t2523 @t1261)) @t1261))))) % 3.49/3.71 (assume @p1862 (forall (@list @t1419 @t2527 @t2521 @t1261 @t10) (=> @t2531 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2527) @t1419)) (tptp.hBOOL (tptp.hAPP @t2530 (tptp.hAPP @t2523 @t2527))))))) % 3.49/3.71 (assume @p1863 (forall @t2442 (tptp.hBOOL (tptp.hAPP @t2530 @t1261)))) % 3.49/3.71 (assume @p1864 (forall @t2442 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2534) @t2533))))) % 3.49/3.71 (assume @p1865 (forall @t2442 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2533) @t2534)) @t2439))) % 3.49/3.71 (assume @p1866 (forall @t2535 (=> @t2437 (not (=> @t2441 (not @t2439)))))) % 3.49/3.71 (assume @p1867 (forall @t2526 (=> @t2441 (=> @t2525 @t2531)))) % 3.49/3.71 (assume @p1868 (forall @t2535 (=> @t2437 @t2439))) % 3.49/3.71 (assume @p1869 (forall @t2535 (=> @t2437 @t2441))) % 3.49/3.71 (assume @p1870 (forall @t2535 (= @t2437 (and @t2441 @t2439)))) % 3.49/3.71 (assume @p1871 (forall @t2536 (tptp.hBOOL (tptp.hAPP @t2440 @t1261)))) % 3.49/3.71 (assume @p1872 (forall @t2526 (=> @t2441 @t2540))) % 3.49/3.71 (assume @p1873 (forall @t2526 (=> @t2541 (=> @t2525 @t2539)))) % 3.49/3.71 (assume @p1874 (forall @t2442 (=> @t2541 @t2441))) % 3.49/3.71 (assume @p1875 (forall @t2442 (= @t2441 (or @t2541 @t2437)))) % 3.49/3.71 (assume @p1876 (forall @t2442 (= @t2541 (and @t2441 (not @t2437))))) % 3.49/3.71 (assume @p1877 (forall @t468 (= (tptp.hAPP @t2453 @t314) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t199 (tptp.hAPP @t2216 @t2449) @t314)))) % 3.49/3.71 (assume @p1878 (forall @t341 (= (tptp.hAPP (tptp.hAPP @t2448 @t314) @t48) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t199 (tptp.hAPP @t2216 (tptp.hAPP (tptp.hAPP @t2542 @t2448) @t19)) @t314)))) % 3.49/3.71 (assume @p1879 (forall @t1230 (=> @t1340 (=> @t1242 (= @t1290 (tptp.hAPP @t2443 @t2235)))))) % 3.49/3.71 (assume @p1880 (forall @t1230 (=> @t1148 (=> @t2334 (= @t1290 (tptp.hAPP @t2443 @t2258)))))) % 3.49/3.71 (assume @p1881 (forall @t948 (=> @t1897 (= @t2444 (tptp.hAPP @t2443 @t2256))))) % 3.49/3.71 (assume @p1882 (forall @t1230 (=> @t1148 (=> @t1239 (= @t1290 (tptp.hAPP @t2443 @t2333)))))) % 3.49/3.71 (assume @p1883 (forall @t2198 (= (tptp.hAPP (tptp.hAPP @t2448 @t1771) @t48) (tptp.hAPP @t2452 (tptp.hAPP @t2136 (tptp.hAPP @t2451 (tptp.hAPP (tptp.hAPP @t2221 (tptp.hAPP (tptp.hAPP @t2220 @t2448) tptp.c_Int_Onat)) @t19))))))) % 3.49/3.71 (assume @p1884 (forall (@list @t1553 @t1 @t2 @t92 @t10) (= (tptp.c_Product__Type_Oprod_Oprod__size @t10 @t92 @t2 @t1 @t1553) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t2 @t2509)) (tptp.hAPP @t1 @t2543))) @t259)))) % 3.49/3.71 (assume @p1885 (forall (@list @t92 @t10 @t1387 @t51 @t1553 @t55) (=> (tptp.hBOOL (tptp.hAPP @t55 @t1553)) (=> (tptp.hBOOL (tptp.hAPP @t51 @t1387)) (and (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t2505 @t2544))) (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP @t2504 @t2544)))))))) % 3.49/3.71 (assume @p1886 (forall (@list @t10 @t92 @t349 @t610 @t55) (=> (tptp.hBOOL (tptp.hAPP @t2549 @t349)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t2421 @t2547)) (tptp.hAPP @t2548 @t2547)))))) % 3.49/3.71 (assume @p1887 (forall @t1752 (=> @t2514 (= @t2458 (tptp.c_Orderings_Oord_Omin @t10 @t964))))) % 3.49/3.71 (assume @p1888 (forall @t532 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t92 @t530 @t10 @t76 @t2383) @t529))) % 3.49/3.71 (assume @p1889 (forall @t2442 (= (= @t2533 @t2534) @t2437))) % 3.49/3.71 (assume @p1890 (forall @t2536 (= (tptp.hAPP @t2532 @t2533) @t1261))) % 3.49/3.71 (assume @p1891 (forall @t2442 (= (tptp.hAPP @t2550 @t1419) @t2529))) % 3.49/3.71 (assume @p1892 (forall @t2526 (=> @t2541 @t2540))) % 3.49/3.71 (assume @p1893 (forall @t305 (= @t1311 (tptp.hAPP @t2551 @t2142)))) % 3.49/3.71 (assume @p1894 (forall (@list @t2552 @t19 @t314) (= (tptp.hBOOL (tptp.hAPP @t2555 @t2552)) (and (= @t314 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP (tptp.hAPP @t770 @t2554) @t19)) @t2553)) (=> @t338 (= @t2554 @t199)) (=> @t459 (and (=> @t458 (and (tptp.hBOOL (tptp.hAPP @t916 @t2553)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t2553) @t19)))) (=> (not @t458) (and (tptp.hBOOL (tptp.hAPP @t418 @t2553)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t2553) @t199)))))))))) % 3.49/3.71 (assume @p1895 (forall (@list @t78 @t311) (=> (tptp.hBOOL (tptp.hAPP @t2557 @t311)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2104 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t2556) (tptp.hAPP (tptp.c_Random_Orange @t311) @t78))) @t311))))) % 3.49/3.71 (assume @p1896 (forall (@list @t143 @t2558) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t2558) @t143) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t2558 (tptp.hAPP (tptp.hAPP @t2157 (tptp.hAPP @t1962 @t1839)) @t143)))))) % 3.49/3.71 (assume @p1897 (forall @t2197 (= (tptp.hAPP @t2562 @t1771) (tptp.hAPP @t2452 (tptp.hAPP @t2561 (tptp.hAPP @t2451 (tptp.hAPP (tptp.hAPP @t2450 @t2560) tptp.c_Int_Onat))))))) % 3.49/3.71 (assume @p1898 (forall @t2198 (= (tptp.hAPP (tptp.hAPP @t2559 @t1771) @t48) (tptp.hAPP @t2452 (tptp.hAPP @t2561 (tptp.hAPP @t2451 (tptp.hAPP (tptp.hAPP @t2221 (tptp.hAPP (tptp.hAPP @t2220 @t2559) tptp.c_Int_Onat)) @t19))))))) % 3.49/3.71 (assume @p1899 (forall @t2565 (= (tptp.hAPP @t2375 (tptp.hAPP @t2564 @t349)) (tptp.hAPP (tptp.hAPP @t2349 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t2394 @t530) @t349))) (tptp.hAPP @t2 (tptp.hAPP @t2563 @t349)))))) % 3.49/3.71 (assume @p1900 (forall @t657 (=> @t1020 (= (tptp.hAPP (tptp.hAPP @t1418 @t2568) @t306) (tptp.hAPP (tptp.hAPP @t2566 @t2483) @t2482))))) % 3.49/3.71 (assume @p1901 (forall @t2492 (=> @t622 (= (tptp.hBOOL (tptp.hAPP @t2489 @t2571)) (or @t2491 @t2490))))) % 3.49/3.71 (assume @p1902 (forall @t2461 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t2571) @t583)) (and @t2488 @t2487))))) % 3.49/3.71 (assume @p1903 (forall @t2576 (=> @t625 (=> @t2575 @t2574)))) % 3.49/3.71 (assume @p1904 (forall @t2477 (=> @t625 (=> @t912 @t2574)))) % 3.49/3.71 (assume @p1905 (forall @t555 (=> @t625 (= (tptp.hAPP @t2567 @t2464) @t101)))) % 3.49/3.71 (assume @p1906 (forall @t555 (=> @t625 (= (tptp.hAPP @t2463 @t2568) @t101)))) % 3.49/3.71 (assume @p1907 (forall @t657 (=> @t625 (= @t2579 @t2578)))) % 3.49/3.71 (assume @p1908 (forall @t657 (=> @t625 (= @t2583 @t2580)))) % 3.49/3.71 (assume @p1909 (forall @t2047 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2566 @t2479) @t101) (tptp.hAPP (tptp.hAPP @t2462 @t2584) (tptp.hAPP (tptp.hAPP @t2566 @t306) @t101)))))) % 3.49/3.71 (assume @p1910 (forall @t2047 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2462 @t2582) @t101) (tptp.hAPP (tptp.hAPP @t2566 @t2498) (tptp.hAPP (tptp.hAPP @t2462 @t306) @t101)))))) % 3.49/3.71 (assume @p1911 (forall @t96 (= (tptp.hAPP (tptp.hAPP @t2559 @t199) @t65) @t65))) % 3.49/3.71 (assume @p1912 (forall @t96 (= (tptp.hAPP @t2585 @t199) @t65))) % 3.49/3.71 (assume @p1913 (forall @t305 (= (tptp.hAPP (tptp.hAPP @t2559 @t236) @t67) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2559 @t235) @t65))))) % 3.49/3.71 (assume @p1914 (forall @t2492 (=> @t622 (= (tptp.hBOOL (tptp.hAPP @t2586 @t2571)) (or (tptp.hBOOL (tptp.hAPP @t2586 @t349)) (tptp.hBOOL (tptp.hAPP @t2586 @t610))))))) % 3.49/3.71 (assume @p1915 (forall @t555 (=> @t625 (tptp.hBOOL (tptp.hAPP @t914 @t2568))))) % 3.49/3.71 (assume @p1916 (forall @t981 (=> @t625 (tptp.hBOOL (tptp.hAPP @t961 @t2568))))) % 3.49/3.71 (assume @p1917 (forall @t623 (=> @t622 (= @t968 (= @t2571 @t610))))) % 3.49/3.71 (assume @p1918 (forall @t2461 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t2571) @t583)) @t2587)))) % 3.49/3.71 (assume @p1919 (forall @t2477 (=> @t625 (=> @t1137 @t2588)))) % 3.49/3.71 (assume @p1920 (forall @t2576 (=> @t625 (=> @t2476 @t2588)))) % 3.49/3.71 (assume @p1921 (forall @t555 (=> @t625 (=> @t963 (= @t2568 @t100))))) % 3.49/3.71 (assume @p1922 (forall @t981 (=> @t625 (=> @t962 (= @t2568 @t101))))) % 3.49/3.71 (assume @p1923 (forall @t2472 (=> @t625 (=> @t2471 (=> @t2473 @t2590))))) % 3.49/3.71 (assume @p1924 (forall @t654 (=> @t625 (=> @t962 (=> @t983 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2582) @t101))))))) % 3.49/3.71 (assume @p1925 (forall @t1619 (=> @t625 (=> @t972 (=> @t2480 (tptp.hBOOL (tptp.hAPP @t2589 (tptp.hAPP (tptp.hAPP @t2566 @t87) @t370)))))))) % 3.49/3.71 (assume @p1926 (forall @t2592 (=> @t625 (=> @t2590 @t2591)))) % 3.49/3.71 (assume @p1927 (forall @t657 (=> @t454 (= (tptp.hAPP (tptp.hAPP @t274 @t2568) @t306) (tptp.hAPP (tptp.hAPP @t2566 @t2493) @t807))))) % 3.49/3.71 (assume @p1928 (forall @t657 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2566 @t2568) @t306) @t2593)))) % 3.49/3.71 (assume @p1929 (forall @t285 (=> @t625 (= (tptp.hAPP (tptp.hAPP @t2566 @t2573) @t87) @t2595)))) % 3.49/3.71 (assume @p1930 (forall @t657 (=> @t625 (= @t2593 (tptp.hAPP @t2581 @t2577))))) % 3.49/3.71 (assume @p1931 (forall @t280 (=> @t625 (= (tptp.hAPP @t2594 (tptp.hAPP @t2572 @t87)) @t2595)))) % 3.49/3.71 (assume @p1932 (forall @t555 (=> @t625 (= (tptp.hAPP @t2567 @t2568) @t2568)))) % 3.49/3.71 (assume @p1933 (forall @t509 (=> @t625 (= (tptp.hAPP @t2572 @t2573) @t2573)))) % 3.49/3.71 (assume @p1934 (forall @t555 (=> @t625 (= @t2568 @t2584)))) % 3.49/3.71 (assume @p1935 (forall @t509 (=> @t625 (= @t2573 (tptp.hAPP @t2594 @t249))))) % 3.49/3.71 (assume @p1936 (forall @t329 (=> @t625 (= (tptp.hAPP @t2572 @t249) @t249)))) % 3.49/3.71 (assume @p1937 (forall (@list @t610 @t349 @t2 @t92 @t10 @t530) (= (tptp.hAPP @t2597 (tptp.hAPP (tptp.hAPP @t2596 @t349) @t610)) (tptp.hAPP (tptp.hAPP @t2349 @t566) @t610)))) % 3.49/3.71 (assume @p1938 (forall (@list @t1 @t349 @t2 @t92 @t10 @t530) (= (= @t2600 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t530 @t10 @t92 @t1) @t349)) (= @t2599 (tptp.hAPP @t1 @t2598))))) % 3.49/3.71 (assume @p1939 (forall @t2507 (= (tptp.hAPP @t2505 @t2600) @t2599))) % 3.49/3.71 (assume @p1940 (forall @t567 (= (tptp.hAPP @t2421 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t530 @t92 @t10 @t2) @t349)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t530 @t10) @t349)))) % 3.49/3.71 (assume @p1941 (forall @t2516 (=> @t2515 (and (=> @t2512 (= @t2601 @t1628)) (=> @t2513 (= @t2601 @t2510)))))) % 3.49/3.71 (assume @p1942 (forall @t657 (=> @t625 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2580) @t2583))))) % 3.49/3.71 (assume @p1943 (forall @t657 (=> @t625 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t2579) @t2578))))) % 3.49/3.71 (assume @p1944 (forall @t555 (=> @t2602 (= (tptp.hAPP @t716 @t2568) (tptp.hAPP (tptp.hAPP @t2462 @t768) @t1181))))) % 3.49/3.71 (assume @p1945 (forall @t555 (=> @t2602 (= (tptp.hAPP @t716 @t2464) (tptp.hAPP (tptp.hAPP @t2566 @t768) @t1181))))) % 3.49/3.71 (assume @p1946 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t260 @t1433) @t235) (tptp.hAPP @t2585 @t235)))) % 3.49/3.71 (assume @p1947 (forall (@list @t1553 @t1 @t2394 @t2 @t10 @t92 @t530) (= (tptp.hAPP @t2375 (tptp.hAPP @t2564 @t1553)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2394 @t10 @t92 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t530 @t92 @t2394 @t2) @t1553))))) % 3.49/3.71 (assume @p1948 (forall @t468 (= (tptp.hAPP @t2562 @t314) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t48 (tptp.hAPP @t2216 @t2560) @t314)))) % 3.49/3.71 (assume @p1949 (forall @t341 (= (tptp.hAPP (tptp.hAPP @t2559 @t314) @t48) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t48 (tptp.hAPP @t2216 (tptp.hAPP (tptp.hAPP @t2542 @t2559) @t19)) @t314)))) % 3.49/3.71 (assume @p1950 (forall @t2607 (= (tptp.hAPP @t2597 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2394 @t92 @t530 @t1) @t349)) (tptp.hAPP (tptp.hAPP @t2349 @t2606) @t2604)))) % 3.49/3.71 (assume @p1951 (forall @t1752 (=> @t622 (= (tptp.c_Orderings_Oord_Omin @t10 @t2609) @t2569)))) % 3.49/3.71 (assume @p1952 (forall @t1752 (=> @t2514 (= @t2569 (tptp.c_Orderings_Oord_Omax @t10 @t964))))) % 3.49/3.71 (assume @p1953 (forall @t629 (=> (not (= @t311 @t2143)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP (tptp.hAPP @t1397 @t2610) @t259)) @t2610))))) % 3.49/3.71 (assume @p1954 (forall @t385 (= (tptp.c_Nitpick_Ozero__frac @t66) (tptp.c_Nitpick_OAbs__Frac @t66 @t2253)))) % 3.49/3.71 (assume @p1955 (forall (@list @t2611 @t2612 @t2613 @t2412) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t2412 @t2613 @t2612 @t2611) (tptp.c_New__DSequence_Opos__not__seq @t2614)))) % 3.49/3.71 (assume @p1956 (forall @t1479 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t316) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1477)) @t1848))) % 3.49/3.71 (assume @p1957 (forall @t614 (= (= @t2615 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t610)) @t620))) % 3.49/3.71 (assume @p1958 (forall @t96 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t2156) @t65))) % 3.49/3.71 (assume @p1959 (forall @t629 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t2610) @t311))) % 3.49/3.71 (assume @p1960 (forall @t886 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t101)) @t101))) % 3.49/3.71 (assume @p1961 (forall @t468 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2104 @t19) @t314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t2617) @t2616))))) % 3.49/3.71 (assume @p1962 (forall @t629 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t1962 @t311)) (tptp.hAPP @t1556 @t311)))) % 3.49/3.71 (assume @p1963 (forall @t468 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2106 @t19) @t314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t2617) @t2616))))) % 3.49/3.71 (assume @p1964 (forall @t898 (= @t2618 (tptp.c_Code__Numeral_Onat__of__aux @t471 @t199)))) % 3.49/3.71 (assume @p1965 (forall @t885 (= @t2099 (tptp.hAPP (tptp.hAPP @t260 @t2618) @t65)))) % 3.49/3.71 (assume @p1966 (forall @t353 (=> @t625 (= (tptp.hAPP @t2463 @t101) @t101)))) % 3.49/3.71 (assume @p1967 (forall @t353 (=> @t625 (= (tptp.hAPP @t2567 @t101) @t101)))) % 3.49/3.71 (assume @p1968 (forall @t1752 (=> @t622 (= (tptp.c_Orderings_Oord_Omax @t10 @t2609) @t2458)))) % 3.49/3.71 (assume @p1969 (forall @t629 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t311) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t2610))))) % 3.49/3.71 (assume @p1970 (forall @t425 (= @t2117 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1397 @t2620) @t2619))))) % 3.49/3.71 (assume @p1971 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t2102 @t65) @t235) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t260 @t2620) @t2619))))) % 3.49/3.71 (assume @p1972 (forall @t425 (= @t2400 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1295 @t2620) @t2619))))) % 3.49/3.71 (assume @p1973 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t2157 @t65) @t235) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t770 @t2620) @t2619))))) % 3.49/3.71 (assume @p1974 (forall @t425 (= @t2399 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2620 @t2619))))) % 3.49/3.71 (assume @p1975 (forall @t385 (= (tptp.c_Nitpick_Oone__frac @t66) (tptp.c_Nitpick_OAbs__Frac @t66 (tptp.hAPP (tptp.hAPP @t2130 @t686) @t686))))) % 3.49/3.71 (assume @p1976 (forall @t873 (= (tptp.c_Nitpick_Onumber__of__frac @t66 @t65) (tptp.c_Nitpick_OAbs__Frac @t66 (tptp.hAPP (tptp.hAPP @t2130 @t65) @t686))))) % 3.49/3.71 (assume @p1977 (forall @t509 (= (tptp.hAPP (tptp.hAPP @t2621 @t249) @t272) (tptp.c_Nitpick_OAbs__Frac @t66 (tptp.c_Nitpick_Onorm__frac @t249 @t272))))) % 3.49/3.71 (assume @p1978 (forall @t2623 (= (tptp.c_Sum__Type_Osum_Osum__case @t10 @t530 @t92 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2622 @t530 @t10) @t2) @t398) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2622 @t530 @t92) @t2) @t400)) @t2))) % 3.49/3.71 (assume @p1979 (forall @t2629 (and (=> @t2627 (= @t2626 @t2546)) (=> @t2628 (= @t2626 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t92 @t10 @t2625) @t566) (tptp.c_Random_Oiterate @t92 @t10 @t2624 @t2))))))) % 3.49/3.71 (assume @p1980 (forall (@list @t349 @t168 @t530 @t10 @t92) (= (tptp.hAPP (tptp.c_Sum__Type_Osum_Osum__case @t92 @t10 @t530 (tptp.hAPP @t2508 @t168) (tptp.hAPP (tptp.c_COMBK @t10 @t530) @t168)) @t349) @t168))) % 3.49/3.71 (assume @p1981 (forall (@list @t205 @t1 @t2 @t2630 @t2392 @t92 @t2394 @t530 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t530 @t2394 @t92) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t2392 @t2630 @t2634) @t2) @t1)) @t205) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t2392 @t2630 @t92) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2392 @t2633 @t2631) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2630 @t2634) (tptp.tc_fun @t2633 @t2631) @t2392) (tptp.c_Product__Type_Oscomp @t2630 @t530 @t2394 @t92)) @t1)) @t205))))) % 3.49/3.71 (assume @p1982 (forall (@list @t2635 @t2636 @t75 @t76 @t92 @t530 @t10) (=> (= (tptp.c_Sum__Type_Osum_Osum__case @t10 @t530 @t92 @t76 @t75) (tptp.c_Sum__Type_Osum_Osum__case @t10 @t530 @t92 @t2636 @t2635)) (not (=> (= @t76 @t2636) (not (= @t75 @t2635))))))) % 3.49/3.71 (assume @p1983 (forall (@list @t1 @t2 @t92 @t530 @t10 @t62 @t18) (=> @t2506 (= (tptp.hAPP @t2637 @t18) (tptp.hAPP @t2637 @t62))))) % 3.49/3.71 (assume @p1984 (forall (@list @t349 @t530 @t92 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t92 @t530 @t2393) @t349) @t2382) @t349))) % 3.49/3.71 (assume @p1985 (forall (@list @t2 @t349 @t92 @t530 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t10 @t530 @t10 @t92) (tptp.hAPP (tptp.c_Product__Type_OPair @t530 @t10) @t349)) @t2) @t566))) % 3.49/3.71 (assume @p1986 (forall @t2639 (= @t2638 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t530 @t2394 @t10) @t1) @t566)))) % 3.49/3.71 (assume @p1987 (forall @t565 (= (tptp.hAPP @t2640 @t564) @t563))) % 3.49/3.71 (assume @p1988 (forall @t562 (= (tptp.hAPP @t2640 @t561) @t528))) % 3.49/3.71 (assume @p1989 (forall @t2639 (= @t2638 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t2605 @t566)) (tptp.hAPP @t2603 @t566))))) % 3.49/3.71 (assume @p1990 (forall @t2647 (= (tptp.c_Nitpick_Oplus__frac @t10 @t1387 @t1972) (tptp.hAPP (tptp.hAPP @t2209 (tptp.c_Nitpick_Oint__lcm @t2646 @t2642)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2280 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t10)) (tptp.hAPP (tptp.hAPP @t2166 (tptp.hAPP @t2264 (tptp.hAPP (tptp.hAPP @t2645 (tptp.hAPP @t674 (tptp.hAPP @t2644 @t1387))) (tptp.hAPP @t2643 @t2646)))) (tptp.hAPP (tptp.hAPP @t2645 (tptp.hAPP @t674 (tptp.hAPP @t2644 @t1972))) (tptp.hAPP @t2643 @t2642))))) @t2165))))) % 3.49/3.71 (assume @p1991 (forall (@list @t530 @t92 @t10) (= (tptp.c_Product__Type_Ointernal__split @t10 @t92 @t530) @t2380))) % 3.49/3.71 (assume @p1992 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t576 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 3.49/3.71 (assume @p1993 (forall @t2654 (and (=> @t2652 (= @t2651 (tptp.c_Lazy__Sequence_Oempty @t10))) (=> @t2653 (= @t2651 (tptp.c_Lazy__Sequence_Obind @t92 @t10 @t2650 @t2649)))))) % 3.49/3.71 (assume @p1994 (forall @t2654 (and (=> @t2652 (= @t2658 (tptp.c_Lazy__Sequence_Ohit__bound @t10))) (=> @t2653 (= @t2658 (tptp.c_Lazy__Sequence_Ohb__bind @t92 @t10 @t2650 @t2657)))))) % 3.49/3.71 (assume @p1995 (forall (@list @t21 @t168 @t20 @t10 @t530 @t92) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t92 @t530 @t10) @t20) @t2383) @t2659))) % 3.49/3.71 (assume @p1996 (forall (@list @t863 @t1142 @t66) (= (tptp.c_Nitpick_Otimes__frac @t66 @t1142 @t863) (tptp.hAPP (tptp.hAPP @t2621 (tptp.hAPP (tptp.hAPP @t674 @t2663) (tptp.hAPP @t2662 @t863))) (tptp.hAPP (tptp.hAPP @t674 @t2661) (tptp.hAPP @t2660 @t863)))))) % 3.49/3.71 (assume @p1997 (forall (@list @t1142 @t66 @t10) (=> (and (tptp.class_Rings_Oinverse @t10) @t2284) (= (tptp.c_Nitpick_Oof__frac @t66 @t10 @t1142) (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP @t669 @t2663)) (tptp.hAPP @t669 @t2661)))))) % 3.49/3.71 (assume @p1998 (forall @t2664 (= (tptp.c_Nitpick_Oinverse__frac @t66 @t1142) (tptp.hAPP (tptp.hAPP @t2621 @t2661) @t2663)))) % 3.49/3.71 (assume @p1999 (forall @t2664 (= (tptp.c_Nitpick_Ouminus__frac @t66 @t1142) (tptp.c_Nitpick_OAbs__Frac @t66 (tptp.hAPP (tptp.hAPP @t2130 (tptp.hAPP @t677 @t2663)) @t2661))))) % 3.49/3.71 (assume @p2000 (forall @t2669 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t92 @t10 @t2412 @t2 @t2613 @t2612 @t2611) (tptp.c_New__DSequence_Opos__decr__bind @t92 @t10 @t2614 @t2668)))) % 3.49/3.71 (assume @p2001 (forall @t2647 (= (tptp.c_Nitpick_Oless__frac @t10 @t1387 @t1972) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t2670) @t575))))) % 3.49/3.71 (assume @p2002 (forall @t2647 (= (tptp.c_Nitpick_Oless__eq__frac @t10 @t1387 @t1972) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t2670) @t575))))) % 3.49/3.71 (assume @p2003 (forall @t2669 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t92 @t10 @t2412 @t2 @t2613 @t2612 @t2611) (tptp.c_New__DSequence_Oneg__decr__bind @t92 @t10 @t2614 @t2674)))) % 3.49/3.71 (assume @p2004 (forall @t2676 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t92 @t10 @t349 @t2) @t143) (tptp.c_Lazy__Sequence_Ohb__bind @t92 @t10 @t2675 @t2657)))) % 3.49/3.71 (assume @p2005 (forall (@list @t2677 @t66) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t66) @t2677) (tptp.c_Lazy__Sequence_Oempty @t66)))) % 3.49/3.71 (assume @p2006 (forall (@list @t2611 @t2612 @t2613 @t10) (= (tptp.c_New__Random__Sequence_Opos__empty @t10 @t2613 @t2612 @t2611) (tptp.c_New__DSequence_Opos__empty @t10)))) % 3.49/3.71 (assume @p2007 (forall @t2669 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t92 @t10 @t2412 @t2) @t2613) @t2612) @t2611) (tptp.c_New__DSequence_Oneg__bind @t92 @t10 @t2614 @t2674)))) % 3.49/3.71 (assume @p2008 (forall @t2676 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t92 @t10 @t349 @t2) @t143) (tptp.c_Lazy__Sequence_Obind @t92 @t10 @t2675 @t2649)))) % 3.49/3.71 (assume @p2009 (forall (@list @t610 @t349 @t51 @t55 @t92 @t10) (=> @t2685 (=> @t2681 @t2679)))) % 3.49/3.71 (assume @p2010 (forall (@list @t51 @t92 @t10 @t610 @t349 @t55) (=> @t2681 (=> @t2685 @t2679)))) % 3.49/3.71 (assume @p2011 (forall (@list @t349 @t51 @t55 @t10) (=> @t2688 (=> @t2687 @t2686)))) % 3.49/3.71 (assume @p2012 (forall (@list @t51 @t10 @t349 @t55) (=> @t2687 (=> @t2688 @t2686)))) % 3.49/3.71 (assume @p2013 (forall @t2669 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t92 @t10 @t2412 @t2) @t2613) @t2612) @t2611) (tptp.c_New__DSequence_Opos__bind @t92 @t10 @t2614 @t2668)))) % 3.49/3.71 (assume @p2014 (forall @t2691 (= (tptp.c_HOL_OThe @t2388 @t2690) (tptp.c_HOL_OThe @t2388 @t2689)))) % 3.49/3.71 (assume @p2015 (forall (@list @t2612 @t1 @t10 @t2613) (and (=> @t2702 (= @t2701 @t2703)) (=> (not @t2702) (= @t2701 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2556 @t2694 @t2556 @t2698) (tptp.hAPP @t1 @t2612)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2700 @t2699 @t2694) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2556 @t2695 @t2556 @t2698) (tptp.c_Random__Sequence_ORandom @t10 @t1 (tptp.hAPP (tptp.hAPP @t1977 @t2613) @t1970) @t2612))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2696 @t2700 @t2694) (tptp.hAPP (tptp.c_COMBB @t2695 @t2699 @t2695) @t2697)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2695 @t2696 @t2694) (tptp.c_DSequence_Ounion @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2695 @t2694) @t2693) (tptp.c_Product__Type_Ofst @t10 @t2692))))))))))) % 3.49/3.71 (assume @p2016 (forall (@list @t530 @t2 @t51 @t1553 @t10 @t92 @t55) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t2422) (tptp.hAPP @t2548 @t1553))) (=> (forall @t2447 (=> (tptp.hBOOL (tptp.hAPP @t2445 @t4)) (tptp.hBOOL (tptp.hAPP @t51 @t2704)))) (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t10 @t530) @t2) @t1553))))))) % 3.49/3.71 (assume @p2017 (forall (@list @t610 @t349 @t20 @t10 @t530 @t92) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t92 @t530 @t10 @t20) @t349) @t610) (tptp.hAPP @t20 @t2705)))) % 3.49/3.71 (assume @p2018 (forall (@list @t21 @t168 @t92 @t10 @t2) (=> @t2707 @t2706))) % 3.49/3.71 (assume @p2019 (forall @t2387 (=> @t2706 @t2707))) % 3.49/3.71 (assume @p2020 (forall @t2386 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t92 @t530 @t10 @t2) @t168) @t21) (tptp.hAPP @t2 @t2383)))) % 3.49/3.71 (assume @p2021 (forall @t2391 (= (tptp.hAPP @t2380 (tptp.c_Product__Type_Ocurry @t10 @t92 @t530 @t2)) @t2))) % 3.49/3.71 (assume @p2022 (forall @t2391 (= (tptp.c_Product__Type_Ocurry @t10 @t92 @t530 @t2708) @t2))) % 3.49/3.71 (assume @p2023 (forall @t2691 (= (tptp.c_HOL_OThe @t2388 @t55) (tptp.c_HOL_OThe @t2388 @t2709)))) % 3.49/3.71 (assume @p2024 (forall @t2720 (= (tptp.c_HOL_OThe @t2388 @t2719) @t2710))) % 3.49/3.71 (assume @p2025 (forall @t341 (= @t2434 (tptp.c_HOL_OThe @t2360 @t2555)))) % 3.49/3.71 (assume @p2026 (forall (@list @t2612 @t2613 @t10) (= (tptp.c_Random__Sequence_Oempty @t10 @t2613 @t2612) @t2703))) % 3.49/3.71 (assume @p2027 (forall (@list @t2612 @t2613 @t349 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2721 @t349) @t2613) @t2612) (tptp.hAPP @t2697 (tptp.hAPP @t2693 @t349))))) % 3.49/3.71 (assume @p2028 (forall @t335 (= (tptp.c_HOL_OThe @t10 @t2723) @t168))) % 3.49/3.71 (assume @p2029 (forall @t351 (= (tptp.c_HOL_OThe @t10 @t2712) @t349))) % 3.49/3.71 (assume @p2030 (forall @t2442 (= (tptp.hBOOL (tptp.hAPP @t2728 @t1419)) (forall @t8 (=> @t2727 (tptp.hBOOL @t2724)))))) % 3.49/3.71 (assume @p2031 (forall @t2442 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 @t2728) (tptp.c_Predicate_OPowp @t10 @t1419)))))) % 3.49/3.71 (assume @p2032 (forall @t1710 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t1709) @t1708)) (=> (tptp.hBOOL (tptp.hAPP @t1356 @t471)) @t1025)))) % 3.49/3.71 (assume @p2033 (forall @t341 (=> @t521 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 (tptp.hAPP @t995 @t314)) @t314)) @t932)))) % 3.49/3.71 (assume @p2034 (forall @t341 (=> @t521 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t936) @t314)) @t932)))) % 3.49/3.71 (assume @p2035 (forall @t341 (=> (not (= @t314 @t575)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t781) @t314)) (= (tptp.hAPP @t1550 @t19) @t686))))) % 3.49/3.71 (assume @p2036 (forall @t2736 (= (tptp.hAPP @t1892 (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) @t2294) (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 @t2232 tptp.tc_Nat_Onat) @t674) @t576)) @t809))) @t2735)) (tptp.hAPP (tptp.hAPP @t674 @t577) (tptp.hAPP @t2294 (tptp.hAPP @t2294 (tptp.hAPP (tptp.hAPP @t674 (tptp.hAPP @t576 @t2733)) @t809))))))) % 3.49/3.71 (assume @p2037 (forall @t886 (tptp.hBOOL (tptp.hAPP @t2737 @t101)))) % 3.49/3.71 (assume @p2038 (forall @t329 (=> @t369 (tptp.hBOOL (tptp.hAPP @t2739 @t326))))) % 3.49/3.71 (assume @p2039 (forall @t629 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t259) @t311)))) % 3.49/3.71 (assume @p2040 (forall @t2746 (=> @t1586 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t1584 @t2745)) @t2743))))) % 3.49/3.71 (assume @p2041 (forall @t2746 (=> @t1586 (tptp.hBOOL (tptp.hAPP @t1055 @t2743))))) % 3.49/3.71 (assume @p2042 (forall @t1230 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t249) @t272)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t272) @t249)) (= (tptp.hAPP @t1550 @t249) (tptp.hAPP @t1550 @t272)))))) % 3.49/3.71 (assume @p2043 (forall @t1961 (= (tptp.hBOOL (tptp.hAPP @t2747 @t773)) @t933))) % 3.49/3.71 (assume @p2044 (forall (@list @t311 @t485 @t66) (=> @t554 (=> (= (tptp.hAPP @t1570 @t485) @t1665) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t485) @t311)))))) % 3.49/3.71 (assume @p2045 (forall @t2751 (=> @t502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 (tptp.hAPP @t1584 @t314)) @t316)) @t2750)))) % 3.49/3.71 (assume @p2046 (forall @t2751 (=> @t502 (= (tptp.hBOOL (tptp.hAPP @t2749 (tptp.hAPP @t1584 @t316))) @t2750)))) % 3.49/3.71 (assume @p2047 (forall (@list @t65 @t100 @t101 @t66) (=> @t369 (=> @t2755 (tptp.hBOOL (tptp.hAPP @t2753 @t2752)))))) % 3.49/3.71 (assume @p2048 (forall @t329 (=> @t369 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t688) @t249))))) % 3.49/3.71 (assume @p2049 (forall @t329 (=> @t369 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t326) @t249)) @t799)))) % 3.49/3.71 (assume @p2050 (forall @t285 (=> @t369 (=> @t2757 (=> @t2756 (tptp.hBOOL (tptp.hAPP @t2739 @t297))))))) % 3.49/3.71 (assume @p2051 (forall @t623 (=> @t622 (= (= @t2760 @t2759) @t620)))) % 3.49/3.71 (assume @p2052 (forall @t614 (= @t620 (and @t2762 @t2761)))) % 3.49/3.71 (assume @p2053 (forall @t614 (= @t2762 (or @t2763 @t620)))) % 3.49/3.71 (assume @p2054 (forall @t614 (= @t2763 (and @t2762 @t621)))) % 3.49/3.71 (assume @p2055 (forall @t1230 (=> @t1004 (=> @t2767 @t2768)))) % 3.49/3.71 (assume @p2056 (forall @t103 (=> @t102 @t2769))) % 3.49/3.71 (assume @p2057 (forall (@list @t349 @t610) (=> @t2761 (= @t2762 @t620)))) % 3.49/3.71 (assume @p2058 (forall @t103 (=> @t2769 (or @t2772 @t102)))) % 3.49/3.71 (assume @p2059 (forall @t1230 (=> @t2767 (=> @t1004 @t2768)))) % 3.49/3.71 (assume @p2060 (forall @t1225 (=> @t662 (=> @t2774 @t2773)))) % 3.49/3.71 (assume @p2061 (forall @t1225 (=> @t2767 (=> @t273 @t2773)))) % 3.49/3.71 (assume @p2062 (forall @t305 (=> @t2776 (=> @t2775 @t422)))) % 3.49/3.71 (assume @p2063 (forall @t103 (=> @t2769 (=> @t2771 @t102)))) % 3.49/3.71 (assume @p2064 (forall @t310 (=> @t2769 (=> @t2778 @t2777)))) % 3.49/3.71 (assume @p2065 (forall @t1225 (=> @t662 (=> (and @t2774 (not (tptp.hBOOL (tptp.hAPP @t2779 @t272)))) @t2780)))) % 3.49/3.71 (assume @p2066 (forall @t310 (=> @t2769 @t2783))) % 3.49/3.71 (assume @p2067 (forall @t103 (=> @t2772 @t428))) % 3.49/3.71 (assume @p2068 (forall @t103 (=> @t2772 (not (and @t2771 (not @t2769)))))) % 3.49/3.71 (assume @p2069 (forall @t103 (=> @t2772 @t2769))) % 3.49/3.71 (assume @p2070 (forall @t103 (=> @t2772 @t664))) % 3.49/3.71 (assume @p2071 (forall @t1225 (=> @t2768 (=> @t273 @t2780)))) % 3.49/3.71 (assume @p2072 (forall @t310 (=> @t2772 (=> @t2778 @t2782)))) % 3.49/3.71 (assume @p2073 (forall @t1230 (=> @t2768 (not (and @t2765 (not @t2767)))))) % 3.49/3.71 (assume @p2074 (forall @t310 (=> @t2772 @t2783))) % 3.49/3.71 (assume @p2075 (forall @t329 (=> @t369 (tptp.hBOOL (tptp.hAPP @t2739 @t249))))) % 3.49/3.71 (assume @p2076 (forall @t285 (=> @t369 (=> @t2757 (=> @t2785 @t2756))))) % 3.49/3.71 (assume @p2077 (forall @t2790 (=> @t1204 (=> @t2789 (=> @t2788 @t2787))))) % 3.49/3.71 (assume @p2078 (forall @t2790 (=> @t1204 (=> @t2787 (=> @t2788 @t2789))))) % 3.49/3.71 (assume @p2079 (forall @t1065 (=> @t1204 (=> @t2792 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t1203 @t87) @t1208))))) % 3.49/3.71 (assume @p2080 (forall (@list @t314 @t19 @t316 @t10) (=> @t2794 (=> (tptp.hBOOL (tptp.hAPP @t2793 @t19)) (= (tptp.hBOOL (tptp.hAPP @t2793 (tptp.c_Divides_Odiv__class_Omod @t10 @t314 @t19))) (tptp.hBOOL (tptp.hAPP @t2793 @t314))))))) % 3.49/3.71 (assume @p2081 (forall @t614 (= @t2795 @t2762))) % 3.49/3.71 (assume @p2082 (forall @t614 (= @t2762 @t2795))) % 3.49/3.71 (assume @p2083 (forall @t509 (=> @t369 (tptp.hBOOL (tptp.hAPP @t2739 @t715))))) % 3.49/3.71 (assume @p2084 (forall @t509 (=> @t369 (tptp.hBOOL (tptp.hAPP @t2739 @t760))))) % 3.49/3.71 (assume @p2085 (forall @t285 (=> @t369 (=> @t2757 @t2796)))) % 3.49/3.71 (assume @p2086 (forall @t455 (=> @t369 (=> @t2756 @t2796)))) % 3.49/3.71 (assume @p2087 (forall @t376 (=> @t369 (=> @t2757 (=> (tptp.hBOOL (tptp.hAPP @t2791 @t370)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t815) @t1072))))))) % 3.49/3.71 (assume @p2088 (forall (@list @t311 @t272 @t249 @t66) (=> (tptp.class_Rings_Odvd @t66) (=> (= @t249 (tptp.hAPP @t724 @t311)) (tptp.hBOOL (tptp.hAPP @t2784 @t249)))))) % 3.49/3.71 (assume @p2089 (forall @t285 (=> @t369 (=> @t2797 @t2756)))) % 3.49/3.71 (assume @p2090 (forall @t285 (=> @t369 (=> @t2797 @t2785)))) % 3.49/3.71 (assume @p2091 (forall @t296 (=> @t2794 (=> @t2801 (=> (tptp.hBOOL (tptp.hAPP @t2800 @t20)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t2799) (tptp.hAPP (tptp.hAPP @t2798 @t20) @t168))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t21) @t20)))))))) % 3.49/3.71 (assume @p2092 (forall @t1023 (=> (tptp.hBOOL (tptp.hAPP @t2802 @t1540)) @t2803))) % 3.49/3.71 (assume @p2093 (forall (@list @t65 @t235 @t2804) (=> (tptp.hBOOL (tptp.hAPP @t2805 @t235)) (=> (tptp.hBOOL (tptp.hAPP @t2805 @t65)) (tptp.hBOOL (tptp.hAPP @t2805 @t1540)))))) % 3.49/3.71 (assume @p2094 (forall @t2808 (= @t2807 (tptp.hBOOL (tptp.hAPP @t2806 (tptp.hAPP @t677 @t62)))))) % 3.49/3.71 (assume @p2095 (forall @t2808 (= @t2807 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 (tptp.hAPP @t677 @t809)) @t62))))) % 3.49/3.71 (assume @p2096 (forall @t1023 (=> (tptp.hBOOL (tptp.hAPP @t2802 (tptp.hAPP @t1539 @t65))) @t2803))) % 3.49/3.71 (assume @p2097 (forall (@list @t19 @t316) (= (tptp.hBOOL (tptp.hAPP @t2809 @t322)) (tptp.hBOOL (tptp.hAPP @t2809 @t19))))) % 3.49/3.71 (assume @p2098 (forall @t2746 (=> @t145 (= (tptp.hAPP @t568 (tptp.hAPP (tptp.hAPP @t2811 @t2) @t1261)) (tptp.hAPP (tptp.hAPP @t2742 @t2810) @t1261))))) % 3.49/3.71 (assume @p2099 (forall @t623 (=> @t2814 (= (tptp.hBOOL (tptp.hAPP @t2812 @t1178)) @t2813)))) % 3.49/3.71 (assume @p2100 (forall @t623 (=> @t2814 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t1179) @t610)) @t2813)))) % 3.49/3.71 (assume @p2101 (forall @t657 (=> @t769 (=> @t2755 (=> (tptp.hBOOL (tptp.hAPP @t2754 @t306)) (tptp.hBOOL (tptp.hAPP @t2754 @t2482))))))) % 3.49/3.71 (assume @p2102 (forall @t2819 (=> @t2818 (= (tptp.hAPP @t2816 @t2817) (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t2816 @t2735)) @t204))))) % 3.49/3.71 (assume @p2103 (forall @t2746 (=> @t2284 (= (tptp.hAPP @t669 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t92 tptp.tc_Int_Oint) @t2) @t1261)) (tptp.hAPP (tptp.hAPP @t2742 @t2820) @t1261))))) % 3.49/3.71 (assume @p2104 (forall @t1023 (=> @t2824 (=> @t2823 @t2822)))) % 3.49/3.71 (assume @p2105 (forall @t2833 (=> @t2818 (= @t2832 (tptp.hAPP (tptp.hAPP @t2827 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t530 @t2682 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1263 (tptp.tc_fun @t2682 @t10) @t530) @t2742) @t2826)) @t1261)) @t1419))))) % 3.49/3.71 (assume @p2106 (forall @t2835 (=> @t2818 (= (tptp.hAPP (tptp.hAPP @t2742 @t2834) @t1261) @t331)))) % 3.49/3.71 (assume @p2107 (forall @t2841 (=> @t2818 (= (tptp.hAPP (tptp.hAPP @t2742 @t2840) @t1261) (tptp.hAPP (tptp.hAPP @t287 @t2745) @t2837))))) % 3.49/3.71 (assume @p2108 (forall (@list @t1261 @t2 @t92 @t1972 @t10) (=> @t2843 (= (tptp.hAPP @t2842 @t2745) (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP (tptp.hAPP @t2740 @t2842) @t2)) @t1261))))) % 3.49/3.71 (assume @p2109 (forall @t2848 (=> @t2843 (= (tptp.hAPP @t2847 @t1972) (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP @t2846 @t1972)) @t1261))))) % 3.49/3.71 (assume @p2110 (forall (@list @t1419 @t1 @t530 @t1261 @t2 @t92 @t10) (=> @t2843 (= (tptp.hAPP @t2847 (tptp.hAPP (tptp.hAPP @t2827 @t1) @t1419)) (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP (tptp.hAPP @t2831 (tptp.hAPP @t2830 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t2828 @t2828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2203 (tptp.tc_fun @t2828 @t2828) @t92) (tptp.c_COMBB @t10 @t10 @t530)) @t2844)) @t1))) @t1419)) @t1261))))) % 3.49/3.71 (assume @p2111 (forall @t2841 (=> @t1417 (= (tptp.hAPP (tptp.hAPP @t2742 @t2849) @t1261) (tptp.hAPP (tptp.hAPP @t1414 @t2745) @t2837))))) % 3.49/3.71 (assume @p2112 (forall @t2746 (=> @t1417 (= (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP (tptp.hAPP @t2740 @t700) @t2)) @t1261) (tptp.hAPP @t700 @t2745))))) % 3.49/3.71 (assume @p2113 (forall @t2848 (=> @t2018 (= (tptp.hAPP (tptp.hAPP @t1973 @t2745) @t1972) (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t2838 @t1973) @t2)) @t1972)) @t1261))))) % 3.49/3.71 (assume @p2114 (forall @t2746 (=> @t1586 (= (tptp.hAPP @t1584 @t2743) @t2743)))) % 3.49/3.71 (assume @p2115 (forall @t614 (=> @t1003 (=> @t1002 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t1001) @t1000)) (tptp.hBOOL (tptp.hAPP @t2850 @t610))))))) % 3.49/3.71 (assume @p2116 (forall @t879 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t588) @t583)) (tptp.hBOOL (tptp.hAPP @t2747 @t2851))))) % 3.49/3.71 (assume @p2117 (forall @t2853 (= @t2852 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t2851) @t314))))) % 3.49/3.71 (assume @p2118 (forall @t623 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2760) @t2759)) @t968)))) % 3.49/3.71 (assume @p2119 (forall @t441 (=> @t707 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t847) @t846)) @t2854)))) % 3.49/3.71 (assume @p2120 (forall @t439 (=> @t707 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t811) @t808)) @t2854)))) % 3.49/3.71 (assume @p2121 (forall @t509 (=> @t1204 (=> @t2757 (= (tptp.c_Divides_Odiv__class_Omod @t66 @t272 @t249) @t326))))) % 3.49/3.71 (assume @p2122 (forall @t708 (=> @t2794 (= @t2801 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t21 @t168) @t331))))) % 3.49/3.71 (assume @p2123 (forall @t574 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2537 (tptp.hAPP @t2758 @t314)) (tptp.hAPP @t2758 @t19))) (tptp.hBOOL (tptp.hAPP @t2855 @t19)))))) % 3.49/3.71 (assume @p2124 (forall @t2057 (=> @t1204 (=> (tptp.hBOOL (tptp.hAPP @t2857 @t101)) (=> (tptp.hBOOL (tptp.hAPP @t2857 @t100)) (= (tptp.hAPP (tptp.hAPP @t1320 @t1956) @t306) (tptp.hAPP (tptp.hAPP @t274 (tptp.hAPP @t2856 @t306)) (tptp.hAPP (tptp.hAPP @t1320 @t100) @t306)))))))) % 3.49/3.71 (assume @p2125 (forall @t509 (=> @t1204 (=> @t2757 (= (tptp.hAPP @t692 @t2859) @t272))))) % 3.49/3.71 (assume @p2126 (forall @t1065 (=> @t1204 (=> @t2792 (= (tptp.hAPP @t692 (tptp.hAPP @t2858 @t87)) (tptp.hAPP @t1353 @t87)))))) % 3.49/3.71 (assume @p2127 (forall @t509 (=> @t1204 (=> @t2757 (= (tptp.hAPP @t2860 @t249) @t272))))) % 3.49/3.71 (assume @p2128 (forall @t285 (=> @t1204 (=> @t2757 (= (tptp.hAPP @t2860 @t87) (tptp.hAPP (tptp.hAPP @t1320 @t725) @t249)))))) % 3.49/3.71 (assume @p2129 (forall (@list @t638 @t306 @t101 @t100 @t66) (=> @t1204 (=> @t2862 (=> (tptp.hBOOL (tptp.hAPP @t2857 @t638)) (= (tptp.hAPP (tptp.hAPP @t690 @t2861) (tptp.hAPP (tptp.hAPP @t1320 @t638) @t306)) (tptp.hAPP (tptp.hAPP @t1320 (tptp.hAPP @t803 @t638)) @t2059))))))) % 3.49/3.71 (assume @p2130 (forall @t981 (=> @t1218 (=> @t2862 (= (tptp.hAPP @t2856 @t1181) @t2863))))) % 3.49/3.71 (assume @p2131 (forall @t981 (=> @t1218 (=> @t2862 (= (tptp.hAPP (tptp.hAPP @t1320 @t768) @t100) @t2863))))) % 3.49/3.71 (assume @p2132 (forall (@list @t235 @t272 @t65 @t249 @t66) (=> @t369 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2738 @t1676) @t272)) (=> @t1025 (tptp.hBOOL (tptp.hAPP @t2864 @t272))))))) % 3.49/3.71 (assume @p2133 (forall (@list @t235 @t65 @t100 @t101 @t66) (=> @t369 (=> @t2755 (=> @t1044 (tptp.hBOOL (tptp.hAPP @t2753 (tptp.hAPP @t1594 @t235)))))))) % 3.49/3.71 (assume @p2134 (forall (@list @t249 @t65 @t235 @t66) (=> @t369 (=> @t1025 (tptp.hBOOL (tptp.hAPP @t2864 @t1676)))))) % 3.49/3.71 (assume @p2135 (forall (@list @t65 @t101 @t100 @t66) (=> @t1204 (=> @t2862 (= (tptp.hAPP (tptp.hAPP @t1562 @t2861) @t65) (tptp.hAPP (tptp.hAPP @t1320 @t1951) @t2752)))))) % 3.49/3.71 (assume @p2136 (forall @t305 (=> @t1235 (=> (tptp.hBOOL (tptp.hAPP @t901 @t65)) (=> @t2866 (=> @t2865 @t422)))))) % 3.49/3.71 (assume @p2137 (forall @t305 (=> (tptp.hBOOL (tptp.hAPP @t594 @t235)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t235) @t65)) (not @t2865))))) % 3.49/3.71 (assume @p2138 (forall (@list @t62 @t314 @t316) (=> @t2283 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t314) @t62)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t2867) (tptp.hAPP @t1268 @t62))))))) % 3.49/3.71 (assume @p2139 (forall @t1023 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 (tptp.hAPP @t869 @t235)) (tptp.hAPP @t869 @t65))) (=> (not (= @t311 @t575)) @t2866)))) % 3.49/3.71 (assume @p2140 (forall (@list @t314 @t19 @t316) (= (tptp.hBOOL (tptp.hAPP @t2868 (tptp.hAPP (tptp.hAPP @t581 @t19) @t2867))) (tptp.hBOOL (tptp.hAPP @t2868 @t19))))) % 3.49/3.71 (assume @p2141 (forall (@list @t20 @t62 @t349 @t809 @t168) (=> (tptp.hBOOL (tptp.hAPP @t2869 @t809)) (= (tptp.hBOOL (tptp.hAPP @t2869 (tptp.hAPP @t1797 @t62))) (tptp.hBOOL (tptp.hAPP @t2869 (tptp.hAPP (tptp.hAPP @t581 (tptp.hAPP @t1797 (tptp.hAPP (tptp.hAPP @t674 @t20) @t809))) @t62))))))) % 3.49/3.71 (assume @p2142 (forall @t1961 (= (tptp.hBOOL (tptp.hAPP @t2747 @t259)) @t347))) % 3.49/3.71 (assume @p2143 (forall @t305 (=> @t1355 (=> @t415 (not @t2775))))) % 3.49/3.71 (assume @p2144 (forall @t320 (= @t2871 (or @t1012 @t2870)))) % 3.49/3.71 (assume @p2145 (forall @t425 (=> @t2865 (= @t1541 @t235)))) % 3.49/3.71 (assume @p2146 (forall (@list @t610 @t19 @t349) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t349 @t19) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t610 @t19)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t19) (tptp.hAPP (tptp.hAPP @t1392 @t349) @t610)))))) % 3.49/3.71 (assume @p2147 (forall @t1023 (=> @t2822 (=> @t2824 (=> @t1044 @t2823))))) % 3.49/3.71 (assume @p2148 (forall @t1023 (=> @t2822 (=> @t2823 (=> @t1044 @t2824))))) % 3.49/3.71 (assume @p2149 (forall @t1759 (= (tptp.hBOOL (tptp.hAPP @t2850 @t686)) (= @t1613 @t686)))) % 3.49/3.71 (assume @p2150 (forall @t1509 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t100) @t101)) (= (tptp.hAPP @t1550 @t1324) (tptp.hAPP (tptp.hAPP @t1285 @t1581) @t1746))))) % 3.49/3.71 (assume @p2151 (forall @t2853 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t684) @t314)) (and (=> @t1045 @t2852) (=> (not @t1045) @t339))))) % 3.49/3.71 (assume @p2152 (forall (@list @t19 @t809 @t168 @t10) (=> @t2876 (= (tptp.hAPP @t2875 (tptp.hAPP (tptp.hAPP @t2815 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t10 tptp.tc_Nat_Onat) @t293) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t10) (tptp.hAPP (tptp.hAPP @t2873 @t704) @t568)) @t809))) @t2735)) (tptp.hAPP @t2872 (tptp.hAPP @t293 (tptp.hAPP @t293 (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP @t568 @t2733)) @t809)))))))) % 3.49/3.71 (assume @p2153 (forall (@list @t1477 @t55 @t10) (=> (and @t2878 @t2843) (= (exists @t8 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t704 @t1477) @t4)))) (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t1477) (tptp.hAPP @t2877 @t331))) @t1095)))))) % 3.49/3.71 (assume @p2154 (forall (@list @t62 @t2527 @t809 @t10) (=> (and (tptp.class_Rings_Ocomm__ring @t10) @t2878) (=> (tptp.hBOOL (tptp.hAPP @t2879 @t2527)) (forall @t2880 (= (tptp.hBOOL (tptp.hAPP @t2879 (tptp.hAPP @t2877 @t62))) (tptp.hBOOL (tptp.hAPP @t2879 (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP (tptp.hAPP @t1414 @t4) (tptp.hAPP (tptp.hAPP @t704 @t522) @t2527))) @t62))))))))) % 3.49/3.71 (assume @p2155 (forall @t623 (=> (and @t2794 @t1580) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t1575) @t1574)) (= (tptp.c_Divides_Odiv__class_Omod @t10 @t1574 @t1575) @t331))))) % 3.49/3.71 (assume @p2156 (forall (@list @t809 @t21 @t20 @t168 @t10) (=> @t2794 (=> @t1618 (=> @t2010 (=> @t2801 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2748 @t20) @t809)) (= (= @t2799 (tptp.hAPP (tptp.hAPP @t2798 @t809) @t20)) (= @t808 @t810))))))))) % 3.49/3.71 (assume @p2157 (forall @t296 (=> @t2794 (=> @t1618 (=> @t2801 (= (= @t2799 @t20) (= @t21 @t847))))))) % 3.49/3.71 (assume @p2158 (forall @t1718 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t306) @t65)) (=> (tptp.hBOOL (tptp.hAPP @t594 @t65)) (tptp.hBOOL (tptp.hAPP @t950 @t65)))))) % 3.49/3.71 (assume @p2159 (forall @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t2881) @t2882)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2882 @t2881) @t575)))) % 3.49/3.71 (assume @p2160 (forall (@list @t65 @t311) (=> @t2823 (=> @t457 @t1038)))) % 3.49/3.71 (assume @p2161 (forall @t1023 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t1022) @t1021)) (=> @t676 @t2776)))) % 3.49/3.71 (assume @p2162 (forall @t320 (=> @t989 (= @t2871 @t2870)))) % 3.49/3.71 (assume @p2163 (forall (@list @t370 @t471) (=> @t897 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2732 @t370) @t471)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 (tptp.hAPP @t1550 @t370)) @t1669)))))) % 3.49/3.71 (assume @p2164 (forall (@list @t101 @t65 @t66) (=> @t369 (=> (or @t457 (= @t101 @t688)) (tptp.hBOOL (tptp.hAPP @t2754 @t1951)))))) % 3.49/3.71 (assume @p2165 (forall @t2890 (=> @t606 (=> @t2889 (=> @t2763 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t566) @t2371))))))) % 3.49/3.71 (assume @p2166 (forall @t2736 (= (tptp.hAPP (tptp.hAPP @t770 @t1884) (tptp.hAPP (tptp.hAPP @t2892 (tptp.hAPP (tptp.hAPP @t2215 @t2891) (tptp.hAPP (tptp.hAPP @t2542 @t770) @t809))) @t2735)) (tptp.hAPP @t995 (tptp.hAPP @t2891 (tptp.hAPP @t2891 (tptp.hAPP (tptp.hAPP @t770 @t2733) @t809))))))) % 3.49/3.71 (assume @p2167 (forall @t2890 (=> @t606 (=> @t2894 (=> @t2762 @t2893))))) % 3.49/3.71 (assume @p2168 (forall @t2900 (=> @t1417 (and (=> @t942 (= @t2898 (tptp.hAPP (tptp.hAPP @t1414 @t603) (tptp.hAPP @t2 @t2899)))) (=> @t1032 (= @t2898 @t331)))))) % 3.49/3.71 (assume @p2169 (forall @t571 (=> @t2876 (= (tptp.hAPP @t2875 (tptp.hAPP (tptp.hAPP @t2815 @t568) @t2901)) (tptp.hAPP @t2872 (tptp.hAPP (tptp.hAPP @t287 @t569) @t709)))))) % 3.49/3.71 (assume @p2170 (forall (@list @t316 @t2) (=> (= @t394 @t199) (= (tptp.hAPP @t2902 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t259 @t316)) (tptp.hAPP @t2902 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t199 @t316)))))) % 3.49/3.71 (assume @p2171 (forall @t2903 (=> @t606 (=> @t2889 @t2894)))) % 3.49/3.71 (assume @p2172 (forall @t814 (=> @t606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2909) @t2908)) (or @t2907 @t2906))))) % 3.49/3.71 (assume @p2173 (forall @t2911 (=> @t2818 (= (tptp.hAPP @t2816 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t461 @t48)) (tptp.hAPP @t2910 @t2895))))) % 3.49/3.71 (assume @p2174 (forall @t2914 (=> @t2818 (= (tptp.hAPP @t2816 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t324 @t322)) (tptp.hAPP @t2913 @t2895))))) % 3.49/3.71 (assume @p2175 (forall @t2921 (= (tptp.hAPP @t576 @t2920) @t2917))) % 3.49/3.71 (assume @p2176 (forall @t2921 (= @t2920 (tptp.hAPP tptp.c_Int_Onat @t2917)))) % 3.49/3.71 (assume @p2177 (forall @t814 (=> @t606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2537 @t2909) @t2908)) (and (or @t2907 (and @t2905 @t2904 (or (tptp.hBOOL (tptp.hAPP @t839 @t168)) (tptp.hBOOL (tptp.hAPP @t787 @t809))))) @t1422))))) % 3.49/3.71 (assume @p2178 (forall @t2900 (=> @t2818 (=> @t942 (= @t2923 (tptp.hAPP @t2922 (tptp.hAPP @t2816 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t461 @t19)))))))) % 3.49/3.71 (assume @p2179 (forall @t2928 (=> @t2818 (and (=> @t2927 (= @t2926 @t331)) (=> (not @t2927) (= @t2926 (tptp.hAPP @t2924 @t206))))))) % 3.49/3.71 (assume @p2180 (forall (@list @t1553 @t2 @t19 @t314 @t10) (=> @t2818 (=> (tptp.hBOOL (tptp.hAPP @t941 @t2899)) (= (tptp.hAPP @t2816 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t314 @t2929)) (tptp.hAPP @t2924 (tptp.hAPP @t2816 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2899 @t2929)))))))) % 3.49/3.71 (assume @p2181 (forall @t2936 (= (forall @t408 (=> @t2935 @t2934)) (forall @t8 (=> @t2933 @t1095))))) % 3.49/3.71 (assume @p2182 (forall @t2936 (= (exists @t408 (and @t2935 @t2934)) (exists @t8 (and @t2933 @t1095))))) % 3.49/3.71 (assume @p2183 (forall (@list @t19 @t55 @t51) (=> (forall @t8 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t2937) @t1094))) (= (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP (tptp.hAPP @t2892 @t55) @t2735)) (tptp.hAPP (tptp.hAPP @t2892 @t51) @t2735)) (tptp.hAPP (tptp.hAPP @t2892 (tptp.hAPP (tptp.hAPP @t2150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2133 tptp.tc_Nat_Onat) @t1397) @t55)) @t51)) @t2735))))) % 3.49/3.71 (assume @p2184 (forall (@list @t19 @t349 @t10) (=> @t2018 (=> (not @t711) (= (tptp.hAPP (tptp.hAPP @t2815 @t1948) @t2939) (tptp.hAPP (tptp.hAPP @t1973 (tptp.hAPP (tptp.hAPP @t1414 (tptp.hAPP @t1948 @t19)) @t709)) (tptp.hAPP (tptp.hAPP @t1414 @t349) @t709))))))) % 3.49/3.71 (assume @p2185 (forall @t2936 (= (exists @t408 (and @t2941 @t2934)) (exists @t8 (and @t2940 @t1095))))) % 3.49/3.71 (assume @p2186 (forall @t2936 (= (forall @t408 (=> @t2941 @t2934)) (forall @t8 (=> @t2940 @t1095))))) % 3.49/3.71 (assume @p2187 (forall @t814 (=> @t622 (=> @t2945 (=> @t436 (=> @t1425 @t2942)))))) % 3.49/3.71 (assume @p2188 (forall @t814 (=> @t622 (=> @t2945 (=> @t436 (=> @t1425 @t2946)))))) % 3.49/3.71 (assume @p2189 (forall @t814 (=> @t622 (=> @t436 (=> @t1425 (= @t2945 @t2947)))))) % 3.49/3.71 (assume @p2190 (forall @t2951 (= (tptp.hAPP @t2950 @t2949) @t2948))) % 3.49/3.71 (assume @p2191 (forall @t460 (= @t2939 @t2735))) % 3.49/3.71 (assume @p2192 (forall @t814 (=> @t622 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2944) @t2943)) (or @t1119 @t2906))))) % 3.49/3.71 (assume @p2193 (forall @t2911 (=> @t2818 (= (tptp.hAPP @t2816 (tptp.hAPP @t2954 @t48)) (tptp.hAPP @t2910 @t2953))))) % 3.49/3.71 (assume @p2194 (forall @t2914 (=> @t2818 (= (tptp.hAPP @t2816 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t324) @t322)) (tptp.hAPP @t2913 @t2953))))) % 3.49/3.71 (assume @p2195 (forall (@list @t314 @t19 @t143 @t10) (=> @t622 (=> (tptp.hBOOL (tptp.hAPP @t2956 @t19)) (= (tptp.hAPP (tptp.hAPP @t2522 (tptp.hAPP @t2955 @t314)) (tptp.hAPP @t2955 @t19)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t19) @t314)))))) % 3.49/3.71 (assume @p2196 (forall @t2962 (=> @t2818 (=> @t942 (=> @t2961 (= (tptp.hAPP @t2960 @t2958) @t2957)))))) % 3.49/3.71 (assume @p2197 (forall @t2962 (=> @t1417 (=> @t942 (=> @t2961 (= (tptp.hAPP (tptp.hAPP @t1414 @t2957) @t2959) @t2958)))))) % 3.49/3.71 (assume @p2198 (forall (@list @t316 @t2 @t10) (=> @t2818 (=> (= @t394 @t331) (= (tptp.hAPP @t2816 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t259) @t316)) (tptp.hAPP @t2816 (tptp.hAPP @t2938 @t316))))))) % 3.49/3.71 (assume @p2199 (forall @t2900 (=> @t2818 (=> @t421 (= @t2959 (tptp.hAPP @t2922 (tptp.hAPP @t2816 (tptp.hAPP @t2954 @t19)))))))) % 3.49/3.71 (assume @p2200 (forall @t2928 (=> @t2818 (and (=> @t419 (= @t2964 @t331)) (=> @t467 (= @t2964 (tptp.hAPP @t2960 @t204))))))) % 3.49/3.71 (assume @p2201 (forall @t2978 (=> @t2977 (forall @t8 (=> @t2976 (=> @t2966 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t2965) @t62)))))))) % 3.49/3.71 (assume @p2202 (forall @t2983 (=> @t2977 (forall @t8 (=> @t2982 (=> @t2981 (tptp.hBOOL (tptp.hAPP @t2980 @t2979)))))))) % 3.49/3.71 (assume @p2203 (forall (@list @t55 @t809) (=> @t1406 (=> (forall @t2880 (= @t1095 (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t1549 (tptp.hAPP (tptp.hAPP @t674 @t522) @t809)))))) (= @t1102 (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t2984 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t686 @t809))) @t1095))))))) % 3.49/3.71 (assume @p2204 (forall @t2983 (=> @t2977 (forall @t8 (=> @t2982 (=> @t2986 (tptp.hBOOL (tptp.hAPP @t2985 @t2979)))))))) % 3.49/3.71 (assume @p2205 (forall @t2951 (= (tptp.hAPP @t2988 (tptp.hAPP (tptp.hAPP @t581 @t1524) @t686)) @t2987))) % 3.49/3.71 (assume @p2206 (forall @t2978 (=> @t2977 (forall @t8 (=> @t2976 (=> @t2989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t2965) @t62)))))))) % 3.49/3.71 (assume @p2207 (forall @t2994 (=> @t2993 (forall @t8 (=> @t2982 (=> @t2992 (not @t2990))))))) % 3.49/3.71 (assume @p2208 (forall @t2996 (=> @t2993 (forall @t8 (=> @t2976 (=> @t2992 (not @t2995))))))) % 3.49/3.71 (assume @p2209 (forall @t2994 (=> @t2993 (forall @t8 (=> @t2982 (=> @t2991 @t2990)))))) % 3.49/3.71 (assume @p2210 (forall @t2996 (=> @t2993 (forall @t8 (=> @t2976 (=> @t2991 @t2995)))))) % 3.49/3.71 (assume @p2211 (forall @t3001 (=> (tptp.hBOOL (tptp.hAPP @t901 @t1524)) (= @t3000 (tptp.hAPP @t2998 (tptp.hAPP @t2734 @t2997)))))) % 3.49/3.71 (assume @p2212 (forall (@list @t55 @t19 @t314 @t10) (=> @t2818 (=> @t942 (= (tptp.hAPP @t3002 @t2895) (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t55 @t314)) (tptp.hAPP @t3002 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t314 @t19)))))))) % 3.49/3.71 (assume @p2213 (forall @t2903 (=> @t606 (=> (forall @t2447 (=> (and @t3005 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t267) @t4)))) (tptp.hBOOL (tptp.hAPP @t3004 @t3003)))) @t2889)))) % 3.49/3.71 (assume @p2214 (forall @t623 (=> @t784 (= (tptp.hAPP @t3006 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t349) @t610)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t1178 @t1179))))) % 3.49/3.71 (assume @p2215 (forall @t623 (=> @t784 (= (tptp.hAPP @t3006 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t349 @t610)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t1178) @t1179))))) % 3.49/3.71 (assume @p2216 (forall (@list @t1261 @t2 @t92 @t1419 @t10) (= @t3011 (exists (@list @t3007) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t3007) @t1261)) (= @t1419 (tptp.hAPP @t3008 @t3007))))))) % 3.49/3.71 (assume @p2217 (forall @t3017 (=> @t2441 @t3016))) % 3.49/3.71 (assume @p2218 (forall @t3023 (= (tptp.hBOOL (tptp.hAPP @t3022 @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3020 @t3019) @t3018))))) % 3.49/3.71 (assume @p2219 (forall (@list @t1261 @t1 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t3008 (tptp.hAPP @t3025 @t1261)) (tptp.hAPP (tptp.c_Set_Oimage @t530 @t10 (tptp.hAPP (tptp.hAPP @t3024 @t2) @t1)) @t1261)))) % 3.49/3.71 (assume @p2220 (forall @t3023 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3027 @t1261) @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3026 @t3019) @t3018))))) % 3.49/3.71 (assume @p2221 (forall @t3023 (= @t2437 (= @t3019 @t3018)))) % 3.49/3.71 (assume @p2222 (forall @t3032 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP (tptp.hAPP @t2522 @t3010) @t3031)) (tptp.hAPP @t3008 @t3030))))) % 3.49/3.71 (assume @p2223 (forall @t623 (=> @t784 (= (tptp.hAPP @t3006 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t349 @t610)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t1178 @t1179))))) % 3.49/3.71 (assume @p2224 (forall @t2951 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3034 @t1524) @t3033))) % 3.49/3.71 (assume @p2225 (forall @t2921 (=> @t3037 (= (tptp.hAPP @t2816 @t1261) (tptp.hAPP (tptp.hAPP @t3035 @t2201) @t3019))))) % 3.49/3.71 (assume @p2226 (forall @t341 (=> (tptp.c_Nat__Transfer_Ois__nat @t314) (=> (tptp.c_Nat__Transfer_Ois__nat @t19) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t314 @t19) (tptp.hAPP @t2998 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t314) (tptp.hAPP tptp.c_Int_Onat @t19)))))))) % 3.49/3.71 (assume @p2227 (forall (@list @t19 @t1261 @t2 @t10) (=> (= @t2920 @t48) (exists @t8 (and @t3039 @t3038))))) % 3.49/3.71 (assume @p2228 (forall (@list @t1 @t2 @t809 @t21 @t20 @t168 @t10 @t92) (=> (and @t3044 @t2514) (=> @t2946 (=> @t2942 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t1421 @t4)) (=> (tptp.hBOOL (tptp.hAPP @t3043 @t809)) @t7))) (= (tptp.hAPP @t3042 @t2944) (tptp.hAPP @t3041 @t2943)))))))) % 3.49/3.71 (assume @p2229 (forall @t2951 (= (tptp.hAPP @t3047 @t2987) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t581 @t3046) @t686))))) % 3.49/3.71 (assume @p2230 (forall @t351 (=> @t784 (= (tptp.hAPP @t3006 @t2760) (tptp.hAPP @t3048 @t1179))))) % 3.49/3.71 (assume @p2231 (forall @t2951 (= (tptp.hAPP @t3047 @t3050) @t3049))) % 3.49/3.71 (assume @p2232 (forall @t623 (=> @t622 (= (= @t3052 @t3051) @t620)))) % 3.49/3.71 (assume @p2233 (forall @t3058 (= (tptp.hAPP @t3057 @t3056) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3054) @t3053)))) % 3.49/3.71 (assume @p2234 (forall @t3058 (= (tptp.hAPP @t3057 @t3059) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3054 @t3053)))) % 3.49/3.71 (assume @p2235 (forall @t3062 (= (tptp.hAPP @t3061 @t3056) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1485) @t3060)))) % 3.49/3.71 (assume @p2236 (forall @t3062 (= (tptp.hAPP @t3061 @t3059) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1485 @t3060)))) % 3.49/3.71 (assume @p2237 (forall @t2536 (= @t3065 (tptp.hAPP (tptp.hAPP @t2918 @t3063) @t1261)))) % 3.49/3.71 (assume @p2238 (forall @t3067 (= (tptp.hAPP @t3066 @t3019) @t1261))) % 3.49/3.71 (assume @p2239 (forall @t623 (=> @t622 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3052) @t3051)) @t966)))) % 3.49/3.71 (assume @p2240 (forall (@list @t1261 @t610 @t92 @t10) (=> @t145 (= (tptp.hAPP (tptp.hAPP @t2742 (tptp.hAPP @t2508 @t610)) @t1261) (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP @t568 @t3069)) @t610))))) % 3.49/3.71 (assume @p2241 (forall @t3001 (= (tptp.hAPP @t3047 @t3000) @t2997))) % 3.49/3.71 (assume @p2242 (forall @t2951 (= (tptp.hAPP @t3047 @t3070) @t3049))) % 3.49/3.71 (assume @p2243 (forall @t341 (= @t2895 (tptp.hAPP @t3066 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t588 @t577))))) % 3.49/3.71 (assume @p2244 (forall @t2951 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3071 @t1524) @t3050))) % 3.49/3.71 (assume @p2245 (forall @t2951 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2262 @t581) @t1477)) (tptp.hAPP @t2999 @t3046)) @t3070))) % 3.49/3.71 (assume @p2246 (forall @t351 (=> @t784 (= (tptp.hAPP @t3006 @t3052) (tptp.hAPP @t2758 @t1179))))) % 3.49/3.71 (assume @p2247 (forall @t2951 (= (tptp.hAPP @t3047 @t3072) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3045 @t3071))))) % 3.49/3.71 (assume @p2248 (forall @t3078 (=> @t3037 (=> @t3077 (= @t3076 (tptp.hAPP (tptp.hAPP @t2815 @t3074) @t3073)))))) % 3.49/3.71 (assume @p2249 (forall @t3023 (=> @t3077 (=> @t3080 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3026 @t1261) @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3027 @t3073) @t3079))))))) % 3.49/3.71 (assume @p2250 (forall @t3023 (=> @t3077 (=> @t3080 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3020 @t1261) @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3021 @t3073) @t3079))))))) % 3.49/3.71 (assume @p2251 (forall @t3067 (=> @t3077 (= (tptp.hAPP @t3047 @t1261) (tptp.hAPP @t3081 @t3073))))) % 3.49/3.71 (assume @p2252 (forall @t3001 (= (tptp.hAPP @t3081 (tptp.hAPP @t2734 @t1524)) @t1524))) % 3.49/3.71 (assume @p2253 (forall @t3023 (=> @t3077 (=> @t3080 (= @t2437 (= @t3073 @t3079)))))) % 3.49/3.71 (assume @p2254 (forall @t2951 (= (tptp.hAPP @t3081 @t3084) @t3083))) % 3.49/3.71 (assume @p2255 (forall @t2951 (= (tptp.hAPP @t3081 @t3033) @t3083))) % 3.49/3.71 (assume @p2256 (forall (@list @t3085) (= (tptp.c_Nat__Transfer_Onat__set @t3085) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2984 @t3085)) @t1096))))) % 3.49/3.71 (assume @p2257 (forall @t623 (=> @t784 (= (tptp.hAPP @t3006 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t349 @t610)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t1178 @t1179))))) % 3.49/3.71 (assume @p2258 (forall (@list @t2521) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t2998 @t2521)))) % 3.49/3.71 (assume @p2259 (forall @t614 (=> @t2050 @t3086))) % 3.49/3.71 (assume @p2260 (forall @t2951 (= (tptp.hAPP @t3081 @t2948) (tptp.hAPP (tptp.hAPP @t1397 @t2949) @t1477)))) % 3.49/3.71 (assume @p2261 (forall @t3067 (= @t3087 (tptp.hAPP @t3047 @t3019)))) % 3.49/3.71 (assume @p2262 (forall (@list @t316 @t1261) (=> (tptp.hBOOL (tptp.hAPP @t3022 @t3088)) (= @t1261 @t3088)))) % 3.49/3.71 (assume @p2263 (forall @t614 (=> @t1003 @t3086))) % 3.49/3.71 (assume @p2264 (forall @t3067 (=> @t3077 (= (tptp.hAPP @t2998 @t3073) @t1261)))) % 3.49/3.71 (assume @p2265 (forall @t2951 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t3071) @t1524) @t3072))) % 3.49/3.71 (assume @p2266 (forall @t460 (= @t3090 (tptp.hAPP @t3066 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t575 @t577))))) % 3.49/3.71 (assume @p2267 (forall @t3092 (=> @t3037 (=> @t2437 (=> @t3080 (=> @t3091 (= @t3076 (tptp.hAPP (tptp.hAPP @t3035 @t1) @t1419)))))))) % 3.49/3.71 (assume @p2268 (forall @t3101 (=> @t622 (=> @t3100 (=> @t3098 (= (tptp.hAPP @t3097 @t3094) @t3093)))))) % 3.49/3.71 (assume @p2269 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3107 (= (tptp.hAPP @t3106 @t3104) @t3103)))))) % 3.49/3.71 (assume @p2270 (forall @t3115 (=> @t3114 (=> (not @t3111) @t3110)))) % 3.49/3.71 (assume @p2271 (forall (@list @t10 @t1261 @t349 @t1419) (=> (=> @t3116 @t3111) @t3114))) % 3.49/3.71 (assume @p2272 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3120 @t3093) @t3118))))) % 3.49/3.71 (assume @p2273 (forall @t3126 (= (tptp.hAPP @t3008 @t3125) (tptp.hAPP (tptp.hAPP @t3096 @t3010) @t3031)))) % 3.49/3.71 (assume @p2274 (forall @t3023 (=> @t3077 (=> @t3080 (tptp.c_Nat__Transfer_Onat__set @t3128))))) % 3.49/3.71 (assume @p2275 (forall (@list @t1419 @t10 @t349 @t1261) (=> @t3111 @t3114))) % 3.49/3.71 (assume @p2276 (forall (@list @t1261 @t10 @t349 @t1419) (=> @t3110 @t3114))) % 3.49/3.71 (assume @p2277 (forall @t2536 (= (tptp.hAPP @t3112 @t1261) @t1261))) % 3.49/3.71 (assume @p2278 (forall @t2442 (= @t3113 @t3130))) % 3.49/3.71 (assume @p2279 (forall @t2442 (= (tptp.hAPP @t3112 @t3113) @t3113))) % 3.49/3.71 (assume @p2280 (forall @t2526 (= @t3133 (tptp.hAPP @t3129 @t3131)))) % 3.49/3.71 (assume @p2281 (forall @t2526 (= (tptp.hAPP (tptp.hAPP @t3096 @t3113) @t2521) @t3133))) % 3.49/3.71 (assume @p2282 (forall @t3135 (= (exists @t8 (and @t3134 @t1095)) (or (exists @t8 (and @t3039 @t1095)) (exists @t8 (and @t2727 @t1095)))))) % 3.49/3.71 (assume @p2283 (forall @t3135 (= (forall @t8 (=> @t3134 @t1095)) (and (forall @t8 (=> @t3039 @t1095)) (forall @t8 (=> @t2727 @t1095)))))) % 3.49/3.71 (assume @p2284 (forall @t329 (=> @t3138 (= (tptp.hAPP @t3137 @t249) @t249)))) % 3.49/3.71 (assume @p2285 (forall @t353 (=> @t3138 @t3140))) % 3.49/3.71 (assume @p2286 (forall @t509 (=> @t3138 (= @t3142 (tptp.hAPP @t3141 @t249))))) % 3.49/3.71 (assume @p2287 (forall @t555 (=> @t3147 @t3146))) % 3.49/3.71 (assume @p2288 (forall @t555 (=> @t3138 @t3146))) % 3.49/3.71 (assume @p2289 (forall @t509 (=> @t3138 (= (tptp.hAPP @t3137 @t3142) @t3142)))) % 3.49/3.71 (assume @p2290 (forall @t555 (=> @t3147 @t3148))) % 3.49/3.71 (assume @p2291 (forall @t555 (=> @t3138 @t3148))) % 3.49/3.71 (assume @p2292 (forall @t280 (=> @t3138 (= (tptp.hAPP @t3141 (tptp.hAPP @t3137 @t87)) @t3149)))) % 3.49/3.71 (assume @p2293 (forall @t657 (=> @t3147 @t3153))) % 3.49/3.71 (assume @p2294 (forall @t657 (=> @t3138 @t3153))) % 3.49/3.71 (assume @p2295 (forall @t285 (=> @t3138 (= (tptp.hAPP (tptp.hAPP @t3136 @t3142) @t87) @t3149)))) % 3.49/3.71 (assume @p2296 (forall @t657 (=> @t3147 @t3154))) % 3.49/3.71 (assume @p2297 (forall @t657 (=> @t3138 @t3154))) % 3.49/3.71 (assume @p2298 (forall @t3157 (=> @t3156 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1263) @t2) @t1) @t349) (tptp.hAPP (tptp.hAPP @t3155 @t566) @t969))))) % 3.49/3.71 (assume @p2299 (forall @t2442 (= @t3159 @t3113))) % 3.49/3.71 (assume @p2300 (forall @t3160 (= (tptp.hAPP (tptp.hAPP @t3096 @t3158) @t1261) @t3130))) % 3.49/3.71 (assume @p2301 (forall @t2526 (= (tptp.hAPP (tptp.hAPP @t2522 @t3113) @t2521) (tptp.hAPP (tptp.hAPP @t3096 @t3162) @t3161)))) % 3.49/3.71 (assume @p2302 (forall @t353 (=> @t3147 @t3140))) % 3.49/3.71 (assume @p2303 (forall @t1752 (=> (and @t3163 @t622) (= @t3155 @t2569)))) % 3.49/3.71 (assume @p2304 (forall @t623 (=> @t622 (= (= @t3165 @t3164) @t620)))) % 3.49/3.71 (assume @p2305 (forall @t2592 (=> @t3138 (=> @t3167 @t2591)))) % 3.49/3.71 (assume @p2306 (forall @t1619 (=> @t3138 (=> @t972 (=> @t2480 (tptp.hBOOL (tptp.hAPP @t3166 (tptp.hAPP (tptp.hAPP @t3136 @t87) @t370)))))))) % 3.49/3.71 (assume @p2307 (forall @t654 (=> @t3138 (=> @t962 (=> @t983 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t3151) @t101))))))) % 3.49/3.71 (assume @p2308 (forall @t2472 (=> @t3138 (=> @t2471 (=> @t2473 @t3167))))) % 3.49/3.71 (assume @p2309 (forall @t981 (=> @t3138 (=> @t962 (= @t3145 @t101))))) % 3.49/3.71 (assume @p2310 (forall @t555 (=> @t3138 (=> @t963 (= @t3145 @t100))))) % 3.49/3.71 (assume @p2311 (forall @t2576 (=> @t3138 (=> @t2476 @t3168)))) % 3.49/3.71 (assume @p2312 (forall @t2477 (=> @t3138 (=> @t1137 @t3168)))) % 3.49/3.71 (assume @p2313 (forall @t2461 (=> @t3163 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t3170) @t583)) @t2587)))) % 3.49/3.71 (assume @p2314 (forall @t623 (=> @t3163 (= @t968 (= @t3170 @t610))))) % 3.49/3.71 (assume @p2315 (forall @t981 (=> @t3138 @t3171))) % 3.49/3.71 (assume @p2316 (forall @t981 (=> @t3147 @t3171))) % 3.49/3.71 (assume @p2317 (forall @t555 (=> @t3138 @t3172))) % 3.49/3.71 (assume @p2318 (forall @t555 (=> @t3147 @t3172))) % 3.49/3.71 (assume @p2319 (forall @t2442 (tptp.hBOOL (tptp.hAPP @t2440 @t3113)))) % 3.49/3.71 (assume @p2320 (forall @t3160 (tptp.hBOOL (tptp.hAPP @t2438 @t3113)))) % 3.49/3.71 (assume @p2321 (forall @t2442 (= @t2441 @t3173))) % 3.49/3.71 (assume @p2322 (forall @t2442 (=> @t2441 @t3173))) % 3.49/3.71 (assume @p2323 (forall @t3160 (=> @t2439 (= @t3113 @t1261)))) % 3.49/3.71 (assume @p2324 (forall @t3175 (=> @t2531 (=> @t2525 (tptp.hBOOL (tptp.hAPP @t3174 @t2521)))))) % 3.49/3.71 (assume @p2325 (forall @t3178 (=> @t2531 (=> @t3177 (tptp.hBOOL (tptp.hAPP @t3174 (tptp.hAPP @t3176 @t2527))))))) % 3.49/3.71 (assume @p2326 (forall @t2576 (=> @t3138 (=> @t2575 @t3179)))) % 3.49/3.71 (assume @p2327 (forall @t2477 (=> @t3138 (=> @t912 @t3179)))) % 3.49/3.71 (assume @p2328 (forall @t3001 (= (tptp.hAPP @t3081 (tptp.hAPP @t3089 @t1524)) @t2949))) % 3.49/3.71 (assume @p2329 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3182 @t3180) @t3118))))) % 3.49/3.71 (assume @p2330 (forall @t3122 (=> @t622 (=> @t3185 (= (tptp.hAPP @t3120 @t3184) @t3183))))) % 3.49/3.71 (assume @p2331 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3098 (= (tptp.hAPP @t3188 @t3186) @t3103)))))) % 3.49/3.71 (assume @p2332 (forall @t2442 (=> @t2441 (= @t3159 @t1419)))) % 3.49/3.71 (assume @p2333 (forall @t2526 (= (tptp.hBOOL (tptp.hAPP @t2530 @t2521)) (tptp.hBOOL (tptp.hAPP @t2440 @t3132))))) % 3.49/3.71 (assume @p2334 (forall @t3023 (= (tptp.hAPP (tptp.hAPP @t3189 @t1261) @t1419) (tptp.hAPP @t3066 (tptp.hAPP (tptp.hAPP @t3127 @t3019) @t3018))))) % 3.49/3.71 (assume @p2335 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3098 (= (tptp.hAPP @t3192 @t3190) @t3093)))))) % 3.49/3.71 (assume @p2336 (forall @t2442 (= (tptp.hAPP @t2532 @t2529) (tptp.hAPP @t3193 @t1419)))) % 3.49/3.71 (assume @p2337 (forall @t3023 (=> @t3077 (=> @t3080 (= @t3128 (tptp.hAPP @t2998 (tptp.hAPP (tptp.hAPP @t3189 @t3073) @t3079))))))) % 3.49/3.71 (assume @p2338 (forall @t460 (= @t2930 @t3090))) % 3.49/3.71 (assume @p2339 (forall @t2951 (= (tptp.hAPP @t3081 @t3194) (tptp.hAPP @t3082 @t3034)))) % 3.49/3.71 (assume @p2340 (forall @t1866 (= @t3196 @t3195))) % 3.49/3.71 (assume @p2341 (forall @t2951 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3034) @t1524) @t3194))) % 3.49/3.71 (assume @p2342 (forall @t623 (=> @t606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3165) @t3164)) @t968)))) % 3.49/3.71 (assume @p2343 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3098 (= (tptp.hAPP @t3188 @t3094) @t3180)))))) % 3.49/3.71 (assume @p2344 (forall @t1489 (=> @t1500 (= (tptp.hAPP @t3055 @t3060) (tptp.hAPP (tptp.hAPP @t3189 @t3056) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1483) @t3060)))))) % 3.49/3.71 (assume @p2345 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3182 @t3103) @t3183))))) % 3.49/3.71 (assume @p2346 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3098 (= (tptp.hAPP @t3106 @t3190) @t3180)))))) % 3.49/3.71 (assume @p2347 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP (tptp.hAPP @t3096 @t3093) @t3198) @t3197))))) % 3.49/3.71 (assume @p2348 (forall @t2285 (=> @t622 (= (tptp.hAPP @t2532 @t3200) @t3199)))) % 3.49/3.71 (assume @p2349 (forall @t2285 (=> @t622 (= (tptp.hAPP @t2532 @t3199) @t3200)))) % 3.49/3.71 (assume @p2350 (forall @t3101 (=> @t622 (=> @t3100 (=> @t3098 (= (tptp.hAPP @t3097 @t3186) @t3184)))))) % 3.49/3.71 (assume @p2351 (forall @t3101 (=> @t622 (=> @t3109 (=> @t3107 (= (tptp.hAPP @t3192 @t3104) @t3184)))))) % 3.49/3.71 (assume @p2352 (forall @t2819 (=> @t2818 (= (tptp.hAPP @t2816 (tptp.hAPP @t3089 @t48)) (tptp.hAPP (tptp.hAPP @t287 (tptp.hAPP @t2816 @t3090)) @t206))))) % 3.49/3.71 (assume @p2353 (forall @t3122 (=> @t622 (=> @t3185 (= (tptp.hAPP @t3203 @t3202) @t3197))))) % 3.49/3.71 (assume @p2354 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP (tptp.hAPP @t3096 @t3180) @t3198) @t3204))))) % 3.49/3.71 (assume @p2355 (forall (@list @t3205 @t51 @t55 @t16 @t10) (=> @t3213 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t3211)))) % 3.49/3.71 (assume @p2356 (forall (@list @t3214 @t19 @t10) (= (tptp.hAPP @t3216 @t3214) (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t3215 @t2901) @t3214)) (tptp.hAPP @t3214 @t199))))) % 3.49/3.71 (assume @p2357 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2559)) % 3.49/3.71 (assume @p2358 (forall (@list @t16 @t12 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3219 @t16)) @t3217))) % 3.49/3.71 (assume @p2359 (forall (@list @t12 @t3220 @t16 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t3220) (=> (tptp.hBOOL (tptp.hAPP @t3219 @t3220)) @t3217)))) % 3.49/3.71 (assume @p2360 (forall @t3223 (=> @t3222 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3218 @t3221) @t16)) @t3217)))) % 3.49/3.71 (assume @p2361 (forall @t623 (=> @t622 (= (= @t3225 @t3224) @t620)))) % 3.49/3.71 (assume @p2362 (forall @t3223 (=> @t3222 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t3221) @t3217)))) % 3.49/3.71 (assume @p2363 (forall @t3233 (= @t3232 (exists @t8 (and @t3039 @t3228))))) % 3.49/3.71 (assume @p2364 (forall @t1866 (= @t3237 @t3235))) % 3.49/3.71 (assume @p2365 (forall @t623 (=> @t606 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3225) @t3224)) @t966)))) % 3.49/3.71 (assume @p2366 (forall @t2285 (=> @t622 (= (tptp.hAPP @t2532 @t3239) @t3238)))) % 3.49/3.71 (assume @p2367 (forall @t2285 (=> @t622 (= (tptp.hAPP @t2532 @t3238) @t3239)))) % 3.49/3.71 (assume @p2368 (forall (@list @t316 @t3214 @t19 @t10) (= (tptp.hAPP @t3216 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2309 tptp.tc_Nat_Onat) @t3214) @t2912)) (tptp.hAPP (tptp.hAPP @t3215 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t316 @t322)) @t3214)))) % 3.49/3.71 (assume @p2369 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3240 @t3202) @t3204))))) % 3.49/3.71 (assume @p2370 (forall @t351 (=> @t784 (= (tptp.hAPP @t3006 @t3225) (tptp.hAPP @t3117 @t1179))))) % 3.49/3.71 (assume @p2371 (forall @t351 (=> @t784 (= (tptp.hAPP @t3006 @t3165) (tptp.hAPP @t3201 @t1179))))) % 3.49/3.71 (assume @p2372 (forall @t3245 (=> @t3244 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t3243) (tptp.hAPP (tptp.hAPP @t3241 @t1419) @t2))))))) % 3.49/3.71 (assume @p2373 (forall @t3254 (= @t3253 @t3251))) % 3.49/3.71 (assume @p2374 (forall @t3255 (= @t3251 @t3253))) % 3.49/3.71 (assume @p2375 (forall @t3260 (=> @t3259 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t2828) @t1261) @t2) @t349) (tptp.hAPP @t3258 @t3256))))) % 3.49/3.71 (assume @p2376 (forall (@list @t55 @t1419 @t1261 @t92 @t10) (= (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 @t3266)) @t1095)) (forall @t8 (=> @t3264 (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP @t3261 @t3226)) (tptp.hBOOL (tptp.hAPP @t55 @t2967))))))))) % 3.49/3.71 (assume @p2377 (forall @t3270 (=> @t3259 (= (tptp.hAPP @t3258 (tptp.hAPP (tptp.hAPP @t3269 @t3268) @t2)) (tptp.hAPP @t3268 (tptp.hAPP (tptp.hAPP @t3267 @t3258) @t2826)))))) % 3.49/3.71 (assume @p2378 (forall @t3277 (= (tptp.hAPP (tptp.hAPP @t3249 @t3276) @t2521) (tptp.hAPP @t3275 (tptp.hAPP (tptp.hAPP @t3273 (tptp.hAPP (tptp.hAPP @t3272 @t3249) @t1419)) @t2521))))) % 3.49/3.71 (assume @p2379 (forall @t3283 (= (tptp.hAPP @t3265 (tptp.hAPP (tptp.hAPP @t3282 (tptp.hAPP (tptp.hAPP @t3281 @t3274) @t1419)) @t2521)) (tptp.hAPP (tptp.hAPP @t3274 @t3279) @t2521)))) % 3.49/3.71 (assume @p2380 (forall (@list @t1524 @t3214 @t1261 @t92 @t10) (=> @t3259 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t3258 @t3214)) @t1524)) (forall @t8 (=> @t3264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t3284) @t1524)))))))) % 3.49/3.71 (assume @p2381 (forall (@list @t2 @t1261 @t92 @t168 @t10) (=> @t3285 (= (tptp.hBOOL (tptp.hAPP @t435 (tptp.hAPP @t3258 @t2))) (exists @t8 (and @t3264 (tptp.hBOOL (tptp.hAPP @t435 @t6)))))))) % 3.49/3.71 (assume @p2382 (forall @t3290 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3289) @t1419)) (forall @t8 (=> @t3287 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2724) @t1419))))))) % 3.49/3.71 (assume @p2383 (forall @t3294 (= (tptp.hAPP @t3265 @t3293) (tptp.hAPP @t3292 @t1419)))) % 3.49/3.71 (assume @p2384 (forall (@list @t1419 @t1261 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t3008 @t3276) (tptp.hAPP @t3275 (tptp.hAPP (tptp.hAPP @t3295 @t3008) @t1419))))) % 3.49/3.71 (assume @p2385 (forall @t3298 (= (tptp.hAPP (tptp.hAPP @t3249 @t3297) @t1419) (tptp.hAPP @t3275 @t3296)))) % 3.49/3.71 (assume @p2386 (forall @t3302 (= (tptp.hAPP @t3288 @t3301) (tptp.hAPP (tptp.hAPP @t3096 @t3289) (tptp.hAPP @t3288 @t1419))))) % 3.49/3.71 (assume @p2387 (forall @t3304 (= (tptp.hAPP (tptp.hAPP @t3249 @t3125) @t3214) (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP @t3265 @t3214)) (tptp.hAPP @t3303 @t3214))))) % 3.49/3.71 (assume @p2388 (= (tptp.hAPP @t3234 @t199) (tptp.hAPP @t3057 @t3305))) % 3.49/3.71 (assume @p2389 (forall @t3315 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3027 @t3314) @t3313)) (and (or @t3312 (and @t3310 @t3308 (or (and @t3310 (not (tptp.hBOOL (tptp.hAPP @t3309 @t20)))) (and @t3308 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2731 @t809) @t21))))))) (tptp.hBOOL (tptp.hAPP @t3306 @t809)))))) % 3.49/3.71 (assume @p2390 (forall @t2903 (=> @t606 (=> (forall @t2447 (=> @t3005 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t6) @t3003)))) @t2894)))) % 3.49/3.71 (assume @p2391 (forall @t2346 (=> (tptp.hBOOL (tptp.hAPP @t3317 @t2345)) (=> (forall @t1272 (=> (tptp.hBOOL (tptp.hAPP @t3317 (tptp.hAPP (tptp.hAPP @t2130 @t1183) @t517))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t1183) @t517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t3316) @t517))) @t1284))) @t2337)))) % 3.49/3.71 (assume @p2392 (forall @t351 (tptp.hBOOL (tptp.hAPP @t3318 @t349)))) % 3.49/3.71 (assume @p2393 (forall @t3319 (= (tptp.hAPP (tptp.hAPP @t3096 @t3318) @t1419) @t3318))) % 3.49/3.71 (assume @p2394 (forall @t2536 (= (tptp.hAPP @t3112 @t3318) @t3318))) % 3.49/3.71 (assume @p2395 (forall @t2536 (tptp.hBOOL (tptp.hAPP @t2440 @t3318)))) % 3.49/3.71 (assume @p2396 (forall @t3321 (=> (tptp.class_Orderings_Otop @t10) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t1263) @t349) @t3320)))) % 3.49/3.71 (assume @p2397 (forall (@list @t1 @t2 @t530 @t10 @t92) (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t530 @t10 @t92) @t2) @t1)) @t3322) (tptp.hAPP @t3324 (tptp.hAPP @t3323 @t3322))))) % 3.49/3.71 (assume @p2398 (forall @t353 (=> (tptp.class_Orderings_Otop @t66) (tptp.hBOOL (tptp.hAPP @t914 @t3325))))) % 3.49/3.71 (assume @p2399 (forall @t353 (=> @t3326 (= (tptp.hAPP @t3139 @t3325) @t3325)))) % 3.49/3.71 (assume @p2400 (forall @t353 (=> @t3326 (= (tptp.hAPP (tptp.hAPP @t3136 @t3325) @t101) @t3325)))) % 3.49/3.71 (assume @p2401 (= (tptp.hAPP @t3327 @t2734) @t3305)) % 3.49/3.71 (assume @p2402 (= (tptp.hAPP @t3327 @t3089) @t3305)) % 3.49/3.71 (assume @p2403 (= (tptp.hAPP @t3327 @t3236) @t3305)) % 3.49/3.71 (assume @p2404 (forall @t2536 (= (tptp.hAPP @t3193 @t1261) @t3318))) % 3.49/3.71 (assume @p2405 (forall @t2536 (= (tptp.hAPP @t3112 @t2533) @t3318))) % 3.49/3.71 (assume @p2406 (forall @t2536 (= @t2533 (tptp.hAPP (tptp.hAPP @t2522 @t3318) @t1261)))) % 3.49/3.71 (assume @p2407 (= (tptp.hAPP @t3236 @t199) @t3305)) % 3.49/3.71 (assume @p2408 (forall @t353 (=> @t1182 (= (tptp.hAPP @t3328 @t101) @t3325)))) % 3.49/3.71 (assume @p2409 (forall @t353 (=> @t1182 (= (tptp.hAPP @t3139 @t768) @t3325)))) % 3.49/3.71 (assume @p2410 (forall @t2536 (= (tptp.hAPP @t3329 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3331 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 (tptp.tc_fun @t3331 @t2309) tptp.tc_Nat_Onat) @t3215) @t2938)) @t1261)) @t3330))) % 3.49/3.71 (assume @p2411 (forall @t3315 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3021 @t3314) @t3313)) (or @t3312 (and @t3310 @t3308))))) % 3.49/3.71 (assume @p2412 (forall @t3336 (=> @t3335 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t2532 @t3010)) (tptp.hAPP @t3008 @t3333)))))) % 3.49/3.71 (assume @p2413 (forall @t3342 (=> (forall @t17 (tptp.hBOOL (tptp.hAPP @t3341 @t3339))) (tptp.hBOOL (tptp.hAPP @t3338 @t3337))))) % 3.49/3.71 (assume @p2414 (forall @t3342 (=> (forall @t17 (= @t3340 @t3339)) (= @t3330 @t3337)))) % 3.49/3.71 (assume @p2415 (forall @t3343 (=> (forall @t17 (tptp.hBOOL (tptp.hAPP @t3341 @t2521))) (tptp.hBOOL (tptp.hAPP @t3338 @t2521))))) % 3.49/3.71 (assume @p2416 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2189)) @t1937)) % 3.49/3.71 (assume @p2417 (forall @t3344 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t10 @t2159) @t169) @t169))) % 3.49/3.71 (assume @p2418 (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 @t3305)) % 3.49/3.71 (assume @p2419 (forall @t460 (= @t2817 (tptp.hAPP @t3346 (tptp.hAPP @t3057 @t2735))))) % 3.49/3.71 (assume @p2420 (forall (@list @t2 @t1261 @t1419 @t10) (=> @t3350 (=> @t2439 (= (tptp.hAPP @t2919 @t2529) (tptp.hAPP @t3348 @t3347)))))) % 3.49/3.71 (assume @p2421 (forall @t3245 (=> @t3356 (=> @t3355 (=> @t2439 (= (tptp.hAPP @t3042 @t2529) (tptp.hAPP @t3354 @t3351))))))) % 3.49/3.71 (assume @p2422 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3357 @t3084)))) % 3.49/3.71 (assume @p2423 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3358 @t2987)))) % 3.49/3.71 (assume @p2424 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3357 @t2948)))) % 3.49/3.71 (assume @p2425 (forall @t1866 (tptp.hBOOL (tptp.hAPP @t3357 @t3359)))) % 3.49/3.71 (assume @p2426 (forall @t1866 (tptp.hBOOL (tptp.hAPP @t3357 @t3195)))) % 3.49/3.71 (assume @p2427 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3358 @t3070)))) % 3.49/3.71 (assume @p2428 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3357 @t3033)))) % 3.49/3.71 (assume @p2429 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3358 @t3050)))) % 3.49/3.71 (assume @p2430 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3358 @t3072)))) % 3.49/3.71 (assume @p2431 (forall @t2951 (tptp.hBOOL (tptp.hAPP @t3357 @t3194)))) % 3.49/3.71 (assume @p2432 (forall @t3363 (= (tptp.hAPP @t3112 @t3362) (tptp.hAPP @t3361 @t3113)))) % 3.49/3.71 (assume @p2433 (forall (@list @t2521 @t1419 @t168 @t10) (= (tptp.hAPP (tptp.hAPP @t3096 @t3362) @t2521) (tptp.hAPP @t3361 @t3132)))) % 3.49/3.71 (assume @p2434 (forall (@list @t168 @t1419 @t10) (tptp.hBOOL (tptp.hAPP @t2438 @t3362)))) % 3.49/3.71 (assume @p2435 (forall (@list @t21 @t1419 @t1261 @t10) (=> @t2441 (tptp.hBOOL (tptp.hAPP @t2440 @t3365))))) % 3.49/3.71 (assume @p2436 (forall (@list @t168 @t2527 @t2521 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3366 @t2527)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t3361 @t2521)) (tptp.hAPP @t3361 @t2527)))))) % 3.49/3.71 (assume @p2437 (forall @t3370 (= @t3369 (exists @t408 (forall @t8 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t4) @t406)))))))) % 3.49/3.71 (assume @p2438 (forall @t3370 (= @t3369 (exists @t408 (forall @t8 (=> @t3368 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t4) @t406)))))))) % 3.49/3.71 (assume @p2439 (forall (@list @t349 @t1261 @t610 @t10) (= (tptp.hBOOL (tptp.hAPP @t3373 @t349)) (or @t3371 @t3111)))) % 3.49/3.71 (assume @p2440 (forall @t3376 (= (tptp.hAPP @t3374 @t3373) (tptp.hAPP @t3372 @t3375)))) % 3.49/3.71 (assume @p2441 (forall @t3377 (= (tptp.hAPP @t3374 @t3375) @t3375))) % 3.49/3.71 (assume @p2442 (forall @t3067 (= (tptp.hBOOL (tptp.hAPP @t3357 @t1261)) (tptp.hBOOL (tptp.hAPP @t3358 @t3019))))) % 3.49/3.71 (assume @p2443 (forall (@list @t1419 @t168 @t2 @t10 @t92) (= (tptp.hAPP @t3008 @t3380) (tptp.hAPP (tptp.hAPP @t3360 @t2354) @t3031)))) % 3.49/3.71 (assume @p2444 (forall @t3067 (=> @t3077 (= (tptp.hBOOL (tptp.hAPP @t3358 @t1261)) (tptp.hBOOL (tptp.hAPP @t3357 @t3073)))))) % 3.49/3.71 (assume @p2445 (forall @t3385 (=> @t3044 @t3384))) % 3.49/3.71 (assume @p2446 (forall @t3386 (=> @t3044 (=> @t3383 (= @t3352 @t3381))))) % 3.49/3.71 (assume @p2447 (forall @t1866 (= @t3196 (tptp.hAPP @t3387 @t3359)))) % 3.49/3.71 (assume @p2448 (forall @t1866 (= (tptp.hAPP @t3089 @t943) (tptp.hAPP @t3388 @t3195)))) % 3.49/3.71 (assume @p2449 (forall @t3392 (=> @t3391 (= (= (tptp.hAPP @t2919 @t3389) @t199) (forall @t8 (=> @t3390 (= @t6 @t199))))))) % 3.49/3.71 (assume @p2450 (forall @t3395 (= (tptp.hAPP (tptp.hAPP @t3249 @t3394) @t1419) (tptp.hAPP (tptp.hAPP @t3096 @t3393) @t3266)))) % 3.49/3.71 (assume @p2451 (forall @t3401 (=> @t3044 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3040 (tptp.hAPP (tptp.hAPP @t3400 (tptp.hAPP (tptp.hAPP @t3399 @t3396) @t1)) @t205)) @t1261) (tptp.hAPP @t3397 (tptp.hAPP (tptp.hAPP @t3040 @t205) @t1261))))))) % 3.49/3.71 (assume @p2452 (forall @t3001 (tptp.hBOOL (tptp.hAPP @t3358 @t3000)))) % 3.49/3.71 (assume @p2453 (forall @t341 (=> @t1030 (= @t2925 (tptp.hAPP (tptp.hAPP @t3345 @t48) @t2895))))) % 3.49/3.71 (assume @p2454 (forall @t3078 (=> @t3355 (= (= @t2920 @t259) (exists @t8 (and @t3039 (= @t6 @t259) @t3406)))))) % 3.49/3.71 (assume @p2455 (forall @t3078 (=> @t3355 (= (= @t2920 @t773) (exists @t8 (and @t3039 @t3407 @t3406)))))) % 3.49/3.71 (assume @p2456 (forall @t3160 (=> @t3350 (=> @t2441 (=> @t3409 @t2541))))) % 3.49/3.71 (assume @p2457 (forall @t3160 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t3412) @t3410))))) % 3.49/3.71 (assume @p2458 (forall @t3160 (=> @t3350 (=> @t2439 (= @t3410 @t3412))))) % 3.49/3.71 (assume @p2459 (forall @t2442 (=> @t3355 @t3413))) % 3.49/3.71 (assume @p2460 (forall @t3416 (=> @t3355 @t3415))) % 3.49/3.71 (assume @p2461 (forall @t3419 (=> @t3391 (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP @t3417 @t3389)))))) % 3.49/3.71 (assume @p2462 (not (tptp.hBOOL (tptp.hAPP @t3358 (tptp.c_Orderings_Otop__class_Otop @t2326))))) % 3.49/3.71 (assume @p2463 (forall @t1752 (= @t3421 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2655) @t356) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t2655 @t354) @t3318))))) % 3.49/3.71 (assume @p2464 (forall @t2536 (=> @t3422 @t3355))) % 3.49/3.71 (assume @p2465 (= (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))) @t773)) % 3.49/3.71 (assume @p2466 (not (tptp.hBOOL (tptp.hAPP @t3357 @t3305)))) % 3.49/3.71 (assume @p2467 (forall @t3423 (= @t3415 @t3355))) % 3.49/3.71 (assume @p2468 (forall @t3160 (=> @t3350 (=> @t2441 @t3355)))) % 3.49/3.71 (assume @p2469 (forall @t2442 (=> @t2441 (=> @t3350 @t3355)))) % 3.49/3.71 (assume @p2470 (forall @t3429 (=> @t3428 (=> @t3427 (tptp.hBOOL (tptp.hAPP @t3426 @t3425)))))) % 3.49/3.71 (assume @p2471 (forall @t3429 (=> @t3431 @t3427))) % 3.49/3.71 (assume @p2472 (forall @t3429 (= (tptp.hBOOL (tptp.hAPP @t3434 @t3433)) (and @t3428 @t3427)))) % 3.49/3.71 (assume @p2473 (forall @t1752 (= (tptp.hBOOL (tptp.hAPP @t3435 @t3421)) @t3428))) % 3.49/3.71 (assume @p2474 (forall @t1752 (=> @t3422 @t3428))) % 3.49/3.71 (assume @p2475 (forall @t3438 (= @t3437 (and @t3391 @t3436)))) % 3.49/3.71 (assume @p2476 (forall @t3438 (=> @t3391 (=> @t3436 @t3437)))) % 3.49/3.71 (assume @p2477 (forall @t3160 (=> @t3350 (= @t3413 @t3355)))) % 3.49/3.71 (assume @p2478 (forall @t3441 (=> @t3355 (= @t3440 @t3439)))) % 3.49/3.71 (assume @p2479 (forall (@list @t2 @t1419 @t92 @t1261 @t10) (=> @t3355 (=> @t3444 @t3442)))) % 3.49/3.71 (assume @p2480 (forall @t3363 (= (tptp.hBOOL (tptp.hAPP @t3349 @t3445)) @t3413))) % 3.49/3.71 (assume @p2481 (forall @t2536 @t3447)) % 3.49/3.71 (assume @p2482 (forall @t2536 (=> @t3428 (=> (= @t3065 @t3448) (= @t1261 @t3318))))) % 3.49/3.71 (assume @p2483 (forall @t2536 (=> @t3355 (= (tptp.hBOOL (tptp.hAPP @t3349 @t2533)) @t3428)))) % 3.49/3.71 (assume @p2484 (forall (@list @t2 @t530 @t1 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t3449 @t3322))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t530) (tptp.hAPP (tptp.c_Set_Oimage @t92 @t530 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t530 @t92) @t2) @t1)) @t3322)))))) % 3.49/3.71 (assume @p2485 (forall @t2536 (=> @t3450 @t3355))) % 3.49/3.71 (assume @p2486 (forall @t3453 (=> @t3355 (tptp.hBOOL (tptp.hAPP @t3452 @t3451))))) % 3.49/3.71 (assume @p2487 (forall @t3160 (=> @t3350 (=> @t2441 (tptp.hBOOL (tptp.hAPP @t3452 @t3408)))))) % 3.49/3.71 (assume @p2488 (forall @t3160 (=> @t3350 (=> @t2441 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t3408) @t3065)) @t2437))))) % 3.49/3.71 (assume @p2489 (forall @t3455 (=> @t3355 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t3454) @t3065))))) % 3.49/3.71 (assume @p2490 (forall @t3160 (=> @t3350 (=> @t2541 @t3409)))) % 3.49/3.71 (assume @p2491 (forall @t1752 (=> @t3428 (tptp.hBOOL (tptp.hAPP @t405 @t3448))))) % 3.49/3.71 (assume @p2492 (forall @t3429 (=> @t3431 (=> (not (= (tptp.hAPP @t3068 @t3322) @t259)) @t3428)))) % 3.49/3.71 (assume @p2493 (forall @t3459 (=> @t3458 (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 @t3456) @t1261) @t3318)))) % 3.49/3.71 (assume @p2494 (forall @t3459 (=> @t3458 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t92 @t3457) @t3318) @t1261)))) % 3.49/3.71 (assume @p2495 (forall (@list @t349 @t610 @t20) (and (=> @t3464 (= @t3462 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1463 @t20)) (tptp.hAPP (tptp.hAPP @t1397 @t610) @t20)))) (=> (not @t3464) (and (=> @t611 (= @t3462 @t3463)) (=> (not @t611) (= @t3462 @t3460))))))) % 3.49/3.71 (assume @p2496 (forall @t1752 (tptp.hBOOL (tptp.hAPP @t3349 @t3465)))) % 3.49/3.71 (assume @p2497 (forall @t2536 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3465) @t1261)))) % 3.49/3.71 (assume @p2498 (forall @t708 (=> (= @t3467 @t3466) @t703))) % 3.49/3.71 (assume @p2499 (forall @t814 (= (= @t3469 (tptp.hAPP @t3468 (tptp.hAPP (tptp.hAPP @t3360 @t809) @t3465))) (or @t2947 (and (= @t168 @t809) @t286))))) % 3.49/3.71 (assume @p2500 (forall @t3423 (not (= @t3414 @t3465)))) % 3.49/3.71 (assume @p2501 (forall @t3423 (not (= @t3465 @t3414)))) % 3.49/3.71 (assume @p2502 (forall @t3319 (= (tptp.hAPP (tptp.hAPP @t3096 @t3465) @t1419) @t1419))) % 3.49/3.71 (assume @p2503 (forall @t2536 (= (tptp.hAPP @t3112 @t3465) @t1261))) % 3.49/3.71 (assume @p2504 (forall @t2442 (= (= @t3113 @t3465) (and @t3471 @t3470)))) % 3.49/3.71 (assume @p2505 (forall @t2536 (= (tptp.hBOOL (tptp.hAPP @t2440 @t3465)) @t3471))) % 3.49/3.71 (assume @p2506 (forall @t2536 (not (tptp.hBOOL (tptp.hAPP @t2538 @t3465))))) % 3.49/3.71 (assume @p2507 (forall @t3321 (=> (tptp.class_Orderings_Obot @t10) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t1263) @t349) @t3472)))) % 3.49/3.71 (assume @p2508 (forall @t2536 (= (tptp.hAPP @t2528 @t1261) @t3465))) % 3.49/3.71 (assume @p2509 (forall @t2536 (= (tptp.hAPP @t2528 @t3465) @t1261))) % 3.49/3.71 (assume @p2510 (forall @t2536 (= (tptp.hAPP (tptp.hAPP @t2522 @t3465) @t1261) @t3465))) % 3.49/3.71 (assume @p2511 (forall (@list @t55 @t10 @t4) (=> (tptp.hBOOL (tptp.hAPP @t2726 @t3465)) @t1095))) % 3.49/3.71 (assume @p2512 (forall @t3336 (= (= @t3010 @t3465) @t3474))) % 3.49/3.71 (assume @p2513 (forall @t3475 (= (tptp.hAPP @t3008 @t3473) @t3465))) % 3.49/3.71 (assume @p2514 (forall @t2746 (= (= @t3465 @t3010) @t3474))) % 3.49/3.71 (assume @p2515 (forall @t1752 (not (= @t3318 @t3465)))) % 3.49/3.71 (assume @p2516 (forall @t353 (=> (tptp.class_Orderings_Obot @t66) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t3476) @t101))))) % 3.49/3.71 (assume @p2517 (forall @t3480 (=> @t3244 (=> @t3479 (= (tptp.hAPP @t3242 @t3478) @t3214))))) % 3.49/3.71 (assume @p2518 (forall @t3482 (= (= @t3266 @t3465) @t3481))) % 3.49/3.71 (assume @p2519 (forall @t3486 (and (=> @t3471 (= @t3485 @t3473)) (=> @t3479 (= @t3485 @t20))))) % 3.49/3.71 (assume @p2520 (forall (@list @t1261 @t10 @t92) (= (tptp.hAPP @t3265 (tptp.hAPP @t3487 @t3465)) @t3465))) % 3.49/3.71 (assume @p2521 (forall @t3488 (= (= @t3465 @t3266) @t3481))) % 3.49/3.71 (assume @p2522 (forall @t623 (=> (tptp.class_Lattices_Obounded__lattice__bot @t10) (= (= @t3170 @t3472) (and (= @t349 @t3472) (= @t610 @t3472)))))) % 3.49/3.71 (assume @p2523 (forall @t353 (=> @t3489 (= (tptp.hAPP @t3139 @t3476) @t101)))) % 3.49/3.71 (assume @p2524 (forall @t353 (=> @t3489 (= (tptp.hAPP (tptp.hAPP @t3136 @t3476) @t101) @t101)))) % 3.49/3.71 (assume @p2525 (forall @t3490 (=> @t2818 (= (tptp.hAPP @t2836 @t3473) @t331)))) % 3.49/3.71 (assume @p2526 (forall @t3491 (=> @t2818 (= (tptp.hAPP @t2744 @t3473) @t331)))) % 3.49/3.71 (assume @p2527 (forall @t3453 (=> (tptp.hBOOL (tptp.hAPP @t2440 @t3492)) (or @t3471 (= @t1261 @t3492))))) % 3.49/3.71 (assume @p2528 (forall @t3423 (= @t3414 (tptp.hAPP (tptp.hAPP @t3096 @t3467) @t1261)))) % 3.49/3.71 (assume @p2529 (forall @t708 (=> @t606 (= @t3493 @t2907)))) % 3.49/3.71 (assume @p2530 (forall @t708 (=> @t606 (= (= @t3465 @t2909) @t2907)))) % 3.49/3.71 (assume @p2531 (forall @t368 (=> @t606 (=> @t838 @t3493)))) % 3.49/3.71 (assume @p2532 (forall @t3423 (= @t3495 @t3414))) % 3.49/3.71 (assume @p2533 (forall @t3363 (= @t3445 (tptp.hAPP (tptp.hAPP @t2522 @t3494) @t1419)))) % 3.49/3.71 (assume @p2534 (forall @t3363 (= @t3445 (tptp.hAPP @t2550 @t3467)))) % 3.49/3.71 (assume @p2535 (forall @t368 (=> @t606 (=> @t1119 @t3496)))) % 3.49/3.71 (assume @p2536 (forall @t1752 (= (tptp.hAPP @t3064 @t3465) @t199))) % 3.49/3.71 (assume @p2537 (forall @t708 (=> @t606 (= @t3496 @t3497)))) % 3.49/3.71 (assume @p2538 (forall @t708 (=> @t606 (= (= @t3465 @t2944) @t3497)))) % 3.49/3.71 (assume @p2539 (forall @t2536 (= (tptp.hAPP @t2528 @t3318) @t3465))) % 3.49/3.71 (assume @p2540 (forall @t335 (=> @t606 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t168 @t168) @t3467)))) % 3.49/3.71 (assume @p2541 (forall @t296 (=> @t606 (= (= @t2909 (tptp.hAPP @t3468 @t3465)) @t3498)))) % 3.49/3.71 (assume @p2542 (forall @t708 (=> @t606 (=> @t703 (= @t2909 @t3467))))) % 3.49/3.71 (assume @p2543 (forall @t2536 (= (tptp.hBOOL (tptp.hAPP @t2440 @t2533)) @t3471))) % 3.49/3.71 (assume @p2544 (forall @t1752 (= (tptp.hAPP @t2532 @t3318) @t3465))) % 3.49/3.71 (assume @p2545 (forall @t1752 (= (tptp.hAPP @t2532 @t3465) @t3318))) % 3.49/3.71 (assume @p2546 (forall @t1961 (= (tptp.hAPP @t2952 @t199) @t3460))) % 3.49/3.71 (assume @p2547 (forall @t3502 (=> @t606 (=> @t3501 @t3500)))) % 3.49/3.71 (assume @p2548 (forall @t3505 (=> @t606 (= @t3500 @t3504)))) % 3.49/3.71 (assume @p2549 (forall @t3505 (=> @t606 (= (= @t3465 @t3499) @t3504)))) % 3.49/3.71 (assume @p2550 (forall @t3502 (=> @t606 (=> @t3501 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t316 @t1477) @t3465))))) % 3.49/3.71 (assume @p2551 (= (tptp.hAPP @t2734 @t199) @t3460)) % 3.49/3.71 (assume @p2552 (forall @t3486 (and (=> @t3471 (= @t3506 @t3473)) (=> @t3479 @t3507)))) % 3.49/3.71 (assume @p2553 (forall @t3517 (and (=> @t3514 (= @t3513 @t3516)) (=> @t3515 (= @t3513 @t3511))))) % 3.49/3.71 (assume @p2554 (forall @t2536 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t2309) @t1261) @t3519) @t1261))) % 3.49/3.71 (assume @p2555 (forall @t3517 (and (=> @t3514 (= @t3511 @t3473)) (=> @t3515 (= @t3511 @t3513))))) % 3.49/3.71 (assume @p2556 (forall @t1364 (= (= @t3460 @t3314) @t3312))) % 3.49/3.71 (assume @p2557 (forall @t1364 (= @t3520 @t3312))) % 3.49/3.71 (assume @p2558 (forall @t1337 (=> (and @t3521 @t3312) @t3520))) % 3.49/3.71 (assume @p2559 (forall @t3526 (and (=> @t3514 (= @t3525 @t1419)) (=> @t3515 (= @t3525 @t3524))))) % 3.49/3.71 (assume @p2560 (forall @t3526 (and (=> @t3514 (= @t3528 @t1261)) (=> @t3515 (= @t3528 @t3527))))) % 3.49/3.71 (assume @p2561 (forall @t3526 (and (=> @t3514 (= @t3524 @t3473)) (=> @t3515 (= @t3524 @t3525))))) % 3.49/3.71 (assume @p2562 (forall @t3526 (and (=> @t3514 (= @t3527 @t3473)) (=> @t3515 (= @t3527 @t3528))))) % 3.49/3.71 (assume @p2563 (forall @t385 (=> @t1182 (= (tptp.hAPP @t716 @t3476) @t3325)))) % 3.49/3.71 (assume @p2564 (forall @t385 (=> @t1182 (= (tptp.hAPP @t716 @t3325) @t3476)))) % 3.49/3.71 (assume @p2565 (forall @t2536 (= @t3446 (or @t3471 @t3383)))) % 3.49/3.71 (assume @p2566 (forall @t2285 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t2522 @t3529) @t3238) @t3529)))) % 3.49/3.71 (assume @p2567 (forall @t3336 (= @t3010 (tptp.hAPP @t3265 (tptp.hAPP (tptp.hAPP @t3248 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t3246 @t92) @t3360) @t2)) @t3465))))) % 3.49/3.71 (assume @p2568 (forall @t1961 (= (tptp.hAPP @t2952 @t461) (tptp.hAPP (tptp.hAPP @t3345 @t314) @t3460)))) % 3.49/3.71 (assume @p2569 (= (tptp.hAPP @t3089 @t199) @t3463)) % 3.49/3.71 (assume @p2570 (forall @t3531 (=> @t3458 (= (tptp.hAPP @t3456 @t3530) @t349)))) % 3.49/3.71 (assume @p2571 (forall @t3532 (=> @t3458 (= (= @t3530 (tptp.hAPP @t3457 @t610)) @t620)))) % 3.49/3.71 (assume @p2572 (forall @t1364 (=> @t703 (= @t3314 @t3533)))) % 3.49/3.71 (assume @p2573 (forall @t271 (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2731 @t168 @t168) @t3533))) % 3.49/3.71 (assume @p2574 (forall (@list @t20 @t21 @t168) (= (= @t3314 (tptp.hAPP (tptp.hAPP @t3345 @t20) @t3460)) @t3498))) % 3.49/3.71 (assume @p2575 (forall @t1866 (= @t3237 (tptp.hAPP (tptp.hAPP @t3534 (tptp.hAPP @t3236 @t316)) (tptp.hAPP @t3387 @t3460))))) % 3.49/3.71 (assume @p2576 (forall @t1866 (= (tptp.hAPP @t3234 @t943) (tptp.hAPP (tptp.hAPP @t3534 @t3235) (tptp.hAPP @t3388 @t3460))))) % 3.49/3.71 (assume @p2577 (forall @t2536 (= @t3450 (and @t3479 @t3355)))) % 3.49/3.71 (assume @p2578 (forall (@list @t1524 @t10) (=> @t622 (= (tptp.hAPP (tptp.hAPP @t3096 @t3183) @t3535) @t3118)))) % 3.49/3.71 (assume @p2579 (forall @t341 (and (=> @t942 (= @t2963 (tptp.hAPP (tptp.hAPP @t3345 @t19) @t2953))) (=> @t1032 (= @t2963 @t3460))))) % 3.49/3.71 (assume @p2580 (forall (@list @t1477 @t10) (=> @t622 (= (tptp.hAPP @t3536 @t3197) @t3204)))) % 3.49/3.71 (assume @p2581 (forall @t3541 (=> @t3044 (=> @t3355 (= @t3540 @t3539))))) % 3.49/3.71 (assume @p2582 (forall @t3453 (=> @t3355 (= @t3451 @t3543)))) % 3.49/3.71 (assume @p2583 (forall @t3453 (=> @t3355 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t3542) @t3065))))) % 3.49/3.71 (assume @p2584 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3240 @t3535) @t3180))))) % 3.49/3.71 (assume @p2585 (forall @t3122 (=> @t622 (=> @t3121 (= (tptp.hAPP @t3536 @t3093) @t3180))))) % 3.49/3.71 (assume @p2586 (forall @t3122 (=> @t622 (=> @t3185 (= (tptp.hAPP @t3536 @t3184) @t3103))))) % 3.49/3.71 (assume @p2587 (forall @t3122 (=> @t622 (=> @t3185 (= (tptp.hAPP @t3203 @t3535) @t3093))))) % 3.49/3.71 (assume @p2588 (forall @t3453 (=> @t3355 (= @t3451 @t3544)))) % 3.49/3.71 (assume @p2589 (forall (@list @t171 @t10) (= (tptp.c_Set_Othe__elem @t10 @t171) (tptp.c_HOL_OThe @t10 (tptp.hAPP (tptp.hAPP @t3545 (tptp.hAPP tptp.c_fequal @t171)) @t3519))))) % 3.49/3.71 (assume @p2590 (forall @t3547 (=> @t3546 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t2888 @t316 @t1477) @t3460)))) % 3.49/3.71 (assume @p2591 (forall @t351 (= (tptp.c_Set_Othe__elem @t10 @t3492) @t349))) % 3.49/3.71 (assume @p2592 (forall @t351 (= (tptp.c_Option_Oset @t10 @t3548) @t3492))) % 3.49/3.71 (assume @p2593 (forall @t3554 (=> @t3553 (and @t3552 @t3217)))) % 3.49/3.71 (assume @p2594 (forall @t3554 (=> @t3552 (=> @t3217 @t3553)))) % 3.49/3.71 (assume @p2595 (tptp.c_Nat__Transfer_Onat__set @t3555)) % 3.49/3.71 (assume @p2596 (forall @t335 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t168 @t3549))) % 3.49/3.71 (assume @p2597 (forall (@list @t16 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t3549))) % 3.49/3.71 (assume @p2598 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t199)) % 3.49/3.71 (assume @p2599 (forall (@list @t2412 @t809 @t51 @t20 @t55 @t16 @t10) (=> @t3556 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t51) @t809) @t2412)) @t3549)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP @t59 (tptp.c_Com_Ocom_OSemi @t20 @t809)) @t2412)) @t3549)))))) % 3.49/3.71 (assume @p2600 (forall (@list @t29 @t33 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t33 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t29) tptp.c_Com_Ocom_OSKIP) @t29)) @t3549)))) % 3.49/3.71 (assume @p2601 (forall (@list @t55 @t16 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP @t59 tptp.c_Com_Ocom_OSKIP) @t55)) @t3549)))) % 3.49/3.71 (assume @p2602 (= @t3555 (tptp.hAPP @t2998 @t3460))) % 3.49/3.71 (assume @p2603 (= @t3460 (tptp.hAPP @t3066 @t3555))) % 3.49/3.71 (assume @p2604 (forall @t3558 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3206 @t3206) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3557 (tptp.tc_fun @t3206 @t3206) @t10) (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3206 @t3557 @t10) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 tptp.tc_Com_Ostate) tptp.c_fconj)) @t55))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate) tptp.c_fNot) @t21))) @t22) @t55)) @t3549)))) % 3.49/3.71 (assume @p2605 (forall (@list @t143 @t1483) (and (=> @t3561 (= @t3560 @t3555)) (=> (not @t3561) (= @t3560 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t143) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3559 @t1483))))))) % 3.49/3.71 (assume @p2606 (forall (@list @t30 @t32 @t29 @t33 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t33 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t3566 (tptp.hAPP @t3565 @t29)) (tptp.hAPP (tptp.hAPP @t3563 (tptp.hAPP @t3562 @t32)) @t30))) (tptp.c_Com_Ocom_OAss @t32 @t30)) @t29)) @t3549)))) % 3.49/3.71 (assume @p2607 (forall (@list @t168 @t171 @t55 @t16 @t10) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t3566 (tptp.hAPP @t3565 @t55)) (tptp.hAPP (tptp.hAPP @t3563 (tptp.hAPP @t3562 @t171)) @t168))) @t187) @t55)) @t3549)))) % 3.49/3.71 (assume @p2608 (forall @t1752 (= (tptp.c_Option_Oset @t10 @t356) @t3465))) % 3.49/3.71 (assume @p2609 (forall (@list @t3567 @t10) (= (= @t3568 @t3465) (= @t3567 @t356)))) % 3.49/3.71 (assume @p2610 (forall (@list @t51 @t172 @t55 @t16 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 @t3571) @t3570))) % 3.49/3.71 (assume @p2611 (forall (@list @t16 @t51 @t172 @t55 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 (tptp.hAPP @t3569 @t16) @t3571) @t3570))) % 3.49/3.71 (assume @p2612 (forall (@list @t172 @t3205 @t51 @t55 @t16 @t10) (=> @t3213 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) @t172) @t3205)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t55 @t172)) @t173) (tptp.hAPP @t51 @t172))) @t3549)))))) % 3.49/3.71 (assume @p2613 (forall @t685 (= @t684 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2360 @t2184) @t3574) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2184 @t3573) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3572 (tptp.tc_fun @t2184 @t3573) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t2184 @t2184)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2133 @t3572 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2887 tptp.tc_Nat_Onat) @t3345)) @t1397))) @t3460))))))) % 3.49/3.71 (assume @p2614 (forall @t3579 (=> (and @t3044 @t3578) (=> @t3350 (=> @t2441 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 @t3158)) (tptp.hBOOL (tptp.hAPP @t3577 @t6)))) @t3576)))))) % 3.49/3.71 (assume @p2615 (forall @t3453 (=> @t3355 @t3582))) % 3.49/3.71 (assume @p2616 (forall (@list @t20 @t10 @t1419 @t1261) (=> @t2437 (=> @t3589 (not @t3587))))) % 3.49/3.71 (assume @p2617 (forall (@list @t530 @t92 @t20 @t21 @t1419 @t1261 @t168 @t10) (=> @t3596 (=> @t3594 @t3592)))) % 3.49/3.71 (assume @p2618 (forall @t335 (not (tptp.hBOOL (tptp.hAPP @t3595 @t3465))))) % 3.49/3.71 (assume @p2619 (forall @t3599 (=> @t3598 (=> @t813 @t3596)))) % 3.49/3.71 (assume @p2620 (forall @t3603 (=> (=> @t3602 @t703) @t3600))) % 3.49/3.71 (assume @p2621 (forall @t3605 (=> @t2441 @t3604))) % 3.49/3.71 (assume @p2622 (forall @t351 (tptp.hBOOL (tptp.hAPP @t3580 @t3318)))) % 3.49/3.71 (assume @p2623 (forall (@list @t10 @t1261 @t92 @t349 @t2 @t21) (=> @t3609 (=> @t3608 (tptp.hBOOL (tptp.hAPP @t3606 @t3010)))))) % 3.49/3.71 (assume @p2624 (forall @t3611 (=> @t3610 @t3587))) % 3.49/3.71 (assume @p2625 (forall @t3612 (=> (=> @t3588 @t3585) @t3610))) % 3.49/3.71 (assume @p2626 (forall @t3611 (=> @t3585 (=> @t3588 @t3613)))) % 3.49/3.71 (assume @p2627 (forall @t3611 (=> @t3613 (not @t3604)))) % 3.49/3.71 (assume @p2628 (forall @t3615 (=> @t3586 @t3614))) % 3.49/3.71 (assume @p2629 (forall (@list @t92 @t21 @t1419 @t1261 @t168 @t10) (=> @t3596 (=> @t3616 @t3232)))) % 3.49/3.71 (assume @p2630 (forall @t3619 (=> @t3596 (=> @t3618 (tptp.hBOOL (tptp.hAPP @t3617 @t3231)))))) % 3.49/3.71 (assume @p2631 (forall (@list @t530 @t92 @t21 @t168 @t20 @t583 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3621 @t2659)) (tptp.hBOOL (tptp.hAPP @t3621 (tptp.hAPP @t3620 @t2383)))))) % 3.49/3.71 (assume @p2632 (forall (@list @t2 @t530 @t1261 @t21 @t168 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3624 @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3622 @t2355) (tptp.hAPP (tptp.c_Set_Oimage @t2388 @t530 @t2708) @t1261)))))) % 3.49/3.71 (assume @p2633 (forall @t2720 (= @t3627 (tptp.hBOOL (tptp.hAPP @t3626 @t3625))))) % 3.49/3.71 (assume @p2634 (forall (@list @t168 @t10 @t1261) (=> @t3471 @t3628))) % 3.49/3.71 (assume @p2635 (forall (@list @t20 @t10) (not (tptp.hBOOL (tptp.hAPP @t3583 @t3465))))) % 3.49/3.71 (assume @p2636 (forall @t2536 (= @t3629 @t3479))) % 3.49/3.71 (assume @p2637 (forall @t2536 (= (forall @t8 @t3630) @t3471))) % 3.49/3.71 (assume @p2638 (forall @t3611 (= @t3613 (and @t3585 @t3588)))) % 3.49/3.71 (assume @p2639 (forall @t3611 (=> @t3613 @t3585))) % 3.49/3.71 (assume @p2640 (forall @t3611 (=> @t3613 @t3588))) % 3.49/3.71 (assume @p2641 (forall @t351 (= (tptp.hBOOL (tptp.hAPP @t3465 @t349)) (tptp.hBOOL (tptp.hAPP @t3580 @t3465))))) % 3.49/3.71 (assume @p2642 (forall (@list @t1524 @t1477 @t3631 @t143 @t10) (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OatLeastAtMost @t10 @t3631 @t1477 @t1524))) (and @t3634 @t3633)))) % 3.49/3.71 (assume @p2643 (forall @t3642 (= (= @t3641 @t3640) @t3636))) % 3.49/3.71 (assume @p2644 (forall @t3645 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3644 @t3641) @t3640) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3626 (tptp.hAPP (tptp.hAPP @t3643 @t2412) @t3085)))))) % 3.49/3.71 (assume @p2645 (forall @t3649 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3648) @t3647)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t2412) @t3085))))) % 3.49/3.71 (assume @p2646 (forall @t3611 (= @t3610 (or @t3585 @t3584)))) % 3.49/3.71 (assume @p2647 (forall @t3611 (=> @t3585 @t3610))) % 3.49/3.71 (assume @p2648 (forall @t3612 (=> @t3584 @t3610))) % 3.49/3.71 (assume @p2649 (forall @t3115 (=> @t2441 (=> @t3581 @t3650)))) % 3.49/3.71 (assume @p2650 (forall @t3651 (=> @t3581 (=> @t2441 @t3650)))) % 3.49/3.71 (assume @p2651 (forall @t3605 (=> @t2541 @t3604))) % 3.49/3.71 (assume @p2652 (forall @t614 (= (= @t3652 (tptp.hAPP tptp.c_Int_ORep__Integ @t610)) @t620))) % 3.49/3.71 (assume @p2653 (forall @t3654 (=> @t703 (=> @t3653 @t3596)))) % 3.49/3.71 (assume @p2654 (forall (@list @t1261 @t10 @t610 @t349) (=> @t620 (= @t3581 @t3656)))) % 3.49/3.71 (assume @p2655 (forall (@list @t349 @t10 @t1419 @t1261) (=> @t2437 (= @t3581 @t3650)))) % 3.49/3.71 (assume @p2656 (forall @t3377 (= @t3581 @t3111))) % 3.49/3.71 (assume @p2657 (forall @t623 (= (tptp.hBOOL (tptp.hAPP @t3580 @t2711)) @t620))) % 3.49/3.71 (assume @p2658 (forall @t3649 (= (= @t3648 @t3647) @t3636))) % 3.49/3.71 (assume @p2659 (forall @t3615 (=> @t3614 @t3586))) % 3.49/3.71 (assume @p2660 (forall @t3615 (= @t3614 @t3586))) % 3.49/3.71 (assume @p2661 (forall @t3531 (=> @t3458 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3262 @t3530) @t1261))))) % 3.49/3.71 (assume @p2662 (forall (@list @t610 @t1261 @t3456 @t3457 @t92 @t10) (=> @t3458 (=> @t3659 (= (tptp.hAPP @t3457 @t3657) @t610))))) % 3.49/3.71 (assume @p2663 (forall @t3532 (=> @t3458 (=> @t3608 (=> @t3659 (= (= (tptp.hAPP @t3456 @t349) @t3657) @t620)))))) % 3.49/3.71 (assume @p2664 (forall (@list @t1261 @t2 @t92 @t583 @t10) (= (tptp.hBOOL (tptp.hAPP @t3621 @t3010)) (exists @t8 (and @t3264 (= @t583 @t6)))))) % 3.49/3.71 (assume @p2665 (forall @t3660 (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3262 @t566) @t3014))))) % 3.49/3.71 (assume @p2666 (forall (@list @t92 @t2 @t21 @t1261 @t349 @t10) (=> @t3581 (=> @t3609 (tptp.hBOOL (tptp.hAPP @t3617 @t3014)))))) % 3.49/3.71 (assume @p2667 (forall @t3662 (= (tptp.hBOOL (tptp.hAPP @t3661 @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2969 @t613) @t3019))))) % 3.49/3.71 (assume @p2668 (forall @t3663 (tptp.hBOOL (tptp.hAPP @t3595 @t3362)))) % 3.49/3.71 (assume @p2669 (forall @t3599 (= @t3598 @t3664))) % 3.49/3.71 (assume @p2670 (forall @t3651 (=> @t3667 (=> @t3666 (= (= @t3375 @t3665) @t2437))))) % 3.49/3.71 (assume @p2671 (forall @t3603 (=> @t3601 @t3600))) % 3.49/3.71 (assume @p2672 (forall @t3423 (=> @t3596 (= @t3414 @t1261)))) % 3.49/3.71 (assume @p2673 (forall @t3668 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3096 @t3648) @t3647) @t349)) (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP (tptp.hAPP @t3096 @t2412) @t3085)))))) % 3.49/3.71 (assume @p2674 (forall @t3670 (= (tptp.hBOOL (tptp.hAPP @t3606 @t3266)) (exists @t8 (and @t3264 @t3669))))) % 3.49/3.71 (assume @p2675 (forall @t368 (=> @t3672 @t3671))) % 3.49/3.71 (assume @p2676 (forall @t368 (= @t3672 @t3671))) % 3.49/3.71 (assume @p2677 (forall @t3651 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3375) @t1419)) (and @t3650 @t2441)))) % 3.49/3.71 (assume @p2678 (forall @t3651 (=> @t3667 (= @t3673 @t2441)))) % 3.49/3.71 (assume @p2679 (forall @t3660 (=> @t3581 (= (tptp.hAPP (tptp.hAPP @t3378 @t566) @t3014) @t3014)))) % 3.49/3.71 (assume @p2680 (forall (@list @t92 @t10 @t349 @t2 @t21) (=> @t3609 (tptp.hBOOL (tptp.hAPP @t3606 @t3334))))) % 3.49/3.71 (assume @p2681 (forall (@list @t92 @t349 @t2 @t10) (tptp.hBOOL (tptp.hAPP @t3674 @t3334)))) % 3.49/3.71 (assume @p2682 (forall @t3678 @t3677)) % 3.49/3.71 (assume @p2683 (forall @t3678 (and @t3677 (=> @t3666 (= @t3676 (tptp.hAPP @t3374 @t2529)))))) % 3.49/3.71 (assume @p2684 (forall @t3679 (=> @t2514 (= (tptp.hBOOL (tptp.hAPP @t3635 @t3238)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t143) @t316)))))) % 3.49/3.71 (assume @p2685 (forall (@list @t1524 @t1477 @t3680 @t143 @t10) (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t10 @t3680 @t1477 @t1524))) (and @t3683 @t3682)))) % 3.49/3.71 (assume @p2686 (forall @t3662 (=> @t2050 (=> @t3077 (= @t3684 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2931 @t1001) @t3073))))))) % 3.49/3.71 (assume @p2687 (forall @t3679 (=> @t2514 (= (tptp.hBOOL (tptp.hAPP @t3635 @t3200)) (tptp.hBOOL (tptp.hAPP @t2956 @t316)))))) % 3.49/3.71 (assume @p2688 (forall @t3679 (=> @t2514 (= (tptp.hBOOL (tptp.hAPP @t3635 @t3239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t316) @t143)))))) % 3.49/3.71 (assume @p2689 (forall @t3679 (=> @t2514 (= (tptp.hBOOL (tptp.hAPP @t3635 @t3199)) (tptp.hBOOL (tptp.hAPP @t3503 @t143)))))) % 3.49/3.71 (assume @p2690 (forall @t614 (=> (tptp.hBOOL (tptp.hAPP @t3661 @t3305)) (=> @t3686 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t349) @t3685) @t620))))) % 3.49/3.71 (assume @p2691 (forall @t3689 (=> @t3244 (=> @t3688 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t3687) (tptp.hAPP @t3242 @t3214))))))) % 3.49/3.71 (assume @p2692 (forall @t1759 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2931 @t2615) @t3305)))) % 3.49/3.71 (assume @p2693 (forall @t3690 (=> @t3077 (=> @t3684 @t2050)))) % 3.49/3.71 (assume @p2694 (forall @t3699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3591 @t3318) @t3698) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3693 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3691) @t3318) @t1972)))))) % 3.49/3.71 (assume @p2695 (forall @t3701 (=> @t3700 (= (tptp.hAPP @t3230 @t3509) (tptp.hAPP @t3379 @t3231))))) % 3.49/3.71 (assume @p2696 (forall @t3702 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t3393) @t3231))))) % 3.49/3.71 (assume @p2697 (forall @t3706 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3703 @t3705) @t349)) (tptp.hBOOL (tptp.hAPP @t3607 (tptp.hAPP @t3703 @t1972)))))) % 3.49/3.71 (assume @p2698 (forall @t3710 (=> @t3709 (= (tptp.hAPP (tptp.hAPP @t3123 @t3708) @t3707) @t3707)))) % 3.49/3.71 (assume @p2699 (forall (@list @t3567 @t349 @t10) (= (tptp.hBOOL (tptp.hAPP @t3580 @t3568)) (= @t3567 @t3548)))) % 3.49/3.71 (assume @p2700 (forall @t3642 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2684 @t3641) @t3640)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3711 @t2412) @t3085))))) % 3.49/3.71 (assume @p2701 (forall @t3423 (=> @t3596 (= @t3495 @t1261)))) % 3.49/3.71 (assume @p2702 (forall @t3377 (=> @t3667 (= (tptp.hAPP @t3675 @t3492) @t1261)))) % 3.49/3.71 (assume @p2703 (forall @t3690 (=> @t3077 (=> @t3684 @t1003)))) % 3.49/3.71 (assume @p2704 (forall @t3721 (=> @t3044 (=> @t3720 (and (=> @t3717 (= @t3716 @t3719)) (=> @t3718 (= @t3716 @t3381))))))) % 3.49/3.71 (assume @p2705 (forall @t3721 (=> @t3044 (=> @t3720 (and (=> @t3717 (= @t3723 @t3719)) (=> @t3718 (= @t3723 @t3381))))))) % 3.49/3.71 (assume @p2706 (forall (@list @t20 @t92 @t1261 @t349 @t10) (=> @t3581 @t3507))) % 3.49/3.71 (assume @p2707 (forall @t3724 (=> @t3686 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3685) @t610)))) % 3.49/3.71 (assume @p2708 (forall @t3725 (=> @t3044 (=> @t3355 (=> @t3667 (= @t3540 (tptp.hAPP @t3538 @t3382))))))) % 3.49/3.71 (assume @p2709 (forall (@list @t2 @t168 @t3389 @t10 @t92) (=> @t3044 (=> @t3391 (=> (not (tptp.hBOOL (tptp.hAPP @t3595 @t3389))) (= (tptp.hAPP @t3042 (tptp.hAPP @t3361 @t3389)) (tptp.hAPP @t3726 (tptp.hAPP @t3042 @t3389)))))))) % 3.49/3.71 (assume @p2710 (forall @t3728 (=> @t3727 (=> @t3581 @t3673)))) % 3.49/3.71 (assume @p2711 (forall @t3728 (= @t3673 (and (=> @t3581 @t3727) @t3729)))) % 3.49/3.71 (assume @p2712 (forall @t3453 (=> @t3355 (and (=> @t3581 (= @t3451 @t3065)) @t3730)))) % 3.49/3.71 (assume @p2713 (forall @t3453 (=> @t3355 @t3730))) % 3.49/3.71 (assume @p2714 (forall @t3453 (=> @t3355 (=> @t3667 (= @t3451 (tptp.hAPP @t1088 @t3065)))))) % 3.49/3.71 (assume @p2715 (forall @t3728 (= (tptp.hBOOL (tptp.hAPP @t2538 @t3665)) (and (=> @t3650 @t2541) (=> @t3666 (and (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2537 @t3537) @t1419))) @t3729)))))) % 3.49/3.71 (assume @p2716 (forall (@list @t2 @t1261 @t168 @t10) (and (=> @t3596 (= @t3731 (tptp.hAPP @t3348 @t2354))) (=> @t3628 (= @t3731 @t2920))))) % 3.49/3.71 (assume @p2717 (forall @t3725 (=> @t3044 (=> @t3355 (=> @t3581 (= @t3382 @t3539)))))) % 3.49/3.71 (assume @p2718 (forall @t3733 (=> @t3044 (=> @t3355 (=> @t3596 (= @t3352 (tptp.hAPP @t3726 @t3732))))))) % 3.49/3.71 (assume @p2719 (forall @t3733 (=> @t3356 (=> @t3355 (and @t3734 (=> @t3628 (= @t3732 @t3352))))))) % 3.49/3.71 (assume @p2720 (forall @t3733 (=> (tptp.class_Rings_Oring @t92) (=> @t3355 @t3734)))) % 3.49/3.71 (assume @p2721 (forall @t3453 (=> @t3355 (=> @t3581 (= @t3543 @t3065))))) % 3.49/3.71 (assume @p2722 (forall (@list @t610 @t349 @t1261 @t10) (=> @t3355 (=> @t3581 (=> @t3656 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP @t3064 (tptp.hAPP (tptp.hAPP @t2522 @t3537) @t3735))) @t3065))))))) % 3.49/3.71 (assume @p2723 (forall @t3453 (=> @t3355 (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t3542) @t3065)))))) % 3.49/3.71 (assume @p2724 (forall @t3363 (=> @t3355 (=> @t3596 (=> @t3602 (= (tptp.hAPP @t3064 @t3445) (tptp.hAPP (tptp.hAPP @t1397 @t3410) @t773))))))) % 3.49/3.71 (assume @p2725 (forall @t3453 (=> @t3355 (=> @t3581 (= @t3065 @t3544))))) % 3.49/3.71 (assume @p2726 (forall @t3453 (=> @t3355 (and @t3582 (=> @t3667 (= @t3542 @t3065)))))) % 3.49/3.71 (assume @p2727 (forall (@list @t610 @t349 @t2412 @t92 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t10 @t92 @t2412) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3626 @t2412))))) % 3.49/3.71 (assume @p2728 (forall (@list @t51 @t55 @t3743 @t119 @t3744 @t16 @t92 @t3736 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3349 @t3736)) (=> (forall (@list @t3746) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t92 @t16 (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t93 (tptp.hAPP @t3744 @t3746)) @t3747) (tptp.hAPP @t3743 @t3746))) @t3745)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t92 @t16 (tptp.hAPP (tptp.hAPP @t3748 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t93 (tptp.hAPP @t55 @t3746)) @t3747) (tptp.hAPP @t51 @t3746))) @t3745)))) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t92 @t16 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3737 (tptp.hAPP (tptp.hAPP @t3742 (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP @t3740 @t3744)) @t119)) @t3743)) @t3736)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t92 @t16 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3737 (tptp.hAPP (tptp.hAPP @t3742 (tptp.hAPP (tptp.hAPP @t3741 (tptp.hAPP @t3740 @t55)) @t119)) @t51)) @t3736))))))) % 3.49/3.71 (assume @p2729 (forall @t3078 (=> @t3750 (= (tptp.hAPP (tptp.hAPP @t2916 @t2) @t1261) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t2918 @t3749) @t1261)))))) % 3.49/3.71 (assume @p2730 (forall @t3753 (=> @t2977 (=> @t3752 (forall @t8 (=> @t2976 (=> @t2981 (tptp.hBOOL (tptp.hAPP @t2980 @t2965))))))))) % 3.49/3.71 (assume @p2731 (forall (@list @t92 @t10 @t1261 @t610 @t349 @t1419) (=> (=> @t3757 @t3755) @t3754))) % 3.49/3.71 (assume @p2732 (forall @t3758 (=> @t3754 (=> (not @t3755) @t3756)))) % 3.49/3.71 (assume @p2733 (forall @t2720 (not @t3627))) % 3.49/3.71 (assume @p2734 (forall (@list @t1419 @t10 @t1261) (=> (= @t1261 @t3762) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t1261) @t1419))))) % 3.49/3.71 (assume @p2735 (forall @t3764 (= @t3592 (exists @t8 (and @t3039 @t3763))))) % 3.49/3.71 (assume @p2736 (forall (@list @t1261 @t92 @t10 @t610 @t349 @t1419) (=> @t3756 @t3754))) % 3.49/3.71 (assume @p2737 (forall (@list @t1419 @t92 @t10 @t610 @t349 @t1261) (=> @t3755 @t3754))) % 3.49/3.71 (assume @p2738 (forall @t1975 (= (tptp.c_Nitpick_Orefl_H @t10 @t1972) (forall @t8 @t3770)))) % 3.49/3.71 (assume @p2739 (forall @t3773 (=> @t2977 (=> @t3772 (forall @t8 (=> @t2982 (=> @t2966 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t2979) @t62))))))))) % 3.49/3.71 (assume @p2740 (forall @t1359 (= (tptp.hBOOL (tptp.hAPP @t3776 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t2888 @t316))) (and @t3775 (not @t3774))))) % 3.49/3.71 (assume @p2741 (forall @t3777 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OgreaterThan @t10 @t3680 @t316))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3680 @t316) @t143))))) % 3.49/3.71 (assume @p2742 (forall @t1359 (= (tptp.hBOOL (tptp.hAPP @t3776 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t2888 @t316))) (and @t3774 (not @t3775))))) % 3.49/3.71 (assume @p2743 (forall @t3773 (=> @t2977 (=> @t3780 (forall @t8 (=> @t2982 (=> @t3778 (not (= @t2979 @t62))))))))) % 3.49/3.71 (assume @p2744 (forall @t3753 (=> @t2977 (=> @t3781 (forall @t8 (=> @t2976 (=> @t3778 (not (= @t2965 @t62))))))))) % 3.49/3.71 (assume @p2745 (forall @t3777 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OlessThan @t10 @t3680 @t316))) (tptp.hBOOL (tptp.hAPP @t3681 @t316))))) % 3.49/3.71 (assume @p2746 (forall @t3753 (=> @t2977 (=> @t3752 (=> (forall @t8 (=> @t3782 (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP @t2973 @t1419)) (not (= @t62 (tptp.hAPP (tptp.hAPP @t581 @t2967) @t4))))))) (= (tptp.hAPP @t3751 @t2527) @t62)))))) % 3.49/3.72 (assume @p2747 (forall @t3773 (=> @t2977 (=> @t3772 (=> (forall @t8 (=> @t3782 (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP @t2973 @t1261)) (not (= @t62 (tptp.hAPP (tptp.hAPP @t1392 @t2967) @t4))))))) (= (tptp.hAPP @t3771 @t2527) @t62)))))) % 3.49/3.72 (assume @p2748 (forall @t3773 (=> @t2977 (=> @t3780 (forall @t8 (=> @t2982 (=> @t2989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t2979) @t62))))))))) % 3.49/3.72 (assume @p2749 (forall @t3753 (=> @t2977 (=> @t3781 (forall @t8 (=> @t2976 (=> @t2986 (tptp.hBOOL (tptp.hAPP @t2985 @t2965))))))))) % 3.49/3.72 (assume @p2750 (forall (@list @t2 @t610 @t349 @t10) (= (tptp.hBOOL (tptp.hAPP @t3787 @t3785)) @t3783))) % 3.49/3.72 (assume @p2751 (forall @t1359 (= (tptp.hBOOL (tptp.hAPP @t3776 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t2731 @t316))) @t3774))) % 3.49/3.72 (assume @p2752 (forall @t3788 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OatMost @t10 @t3631 @t316))) (tptp.hBOOL (tptp.hAPP @t3632 @t316))))) % 3.49/3.72 (assume @p2753 (forall @t1359 (= (tptp.hBOOL (tptp.hAPP @t3776 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t2731 @t316))) @t3775))) % 3.49/3.72 (assume @p2754 (forall @t3796 (=> @t3795 (=> @t3794 (=> @t3608 (= @t3793 @t3792)))))) % 3.49/3.72 (assume @p2755 (forall @t3802 (=> @t3801 (=> @t3355 (=> @t3581 (and (=> @t3799 (= @t3793 @t349)) (=> @t3800 (= @t3793 @t3798)))))))) % 3.49/3.72 (assume @p2756 (forall (@list @t3389 @t1 @t583 @t2 @t92 @t10) (=> @t3795 (= (tptp.hAPP @t3389 @t3473) @t583)))) % 3.49/3.72 (assume @p2757 (forall @t3803 (=> @t3801 (= (tptp.hAPP @t3389 @t3492) @t349)))) % 3.49/3.72 (assume @p2758 (forall @t3796 (=> @t3795 (=> @t3794 (=> (not @t3608) @t3807))))) % 3.49/3.72 (assume @p2759 (forall @t3802 (=> @t3801 (=> @t3355 (=> @t3667 @t3810))))) % 3.49/3.72 (assume @p2760 (forall @t3796 (=> @t3795 (=> @t3794 (= @t3806 @t3792))))) % 3.49/3.72 (assume @p2761 (forall @t3802 (=> @t3801 (=> @t3355 (and (=> @t3799 (= @t3809 @t349)) (=> @t3800 (= @t3809 @t3798))))))) % 3.49/3.72 (assume @p2762 (forall @t3788 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OatLeast @t10 @t3631 @t316))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3631 @t316) @t143))))) % 3.49/3.72 (assume @p2763 (forall @t3812 (=> @t3581 (=> (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t2 @t583 @t3537 @t610) (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t2 @t583 @t1261 @t3811))))) % 3.49/3.72 (assume @p2764 (forall @t3579 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t92) (=> @t3350 (=> @t2441 (=> (forall @t3814 (=> (tptp.hBOOL (tptp.hAPP @t3813 @t3158)) (tptp.hBOOL (tptp.hAPP @t3577 (tptp.hAPP @t2 @t2338))))) @t3576)))))) % 3.49/3.72 (assume @p2765 (forall @t3817 (and (=> @t3816 (= @t3815 @t21)) (=> (not @t3816) (= @t3815 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t3646 (tptp.hAPP @t2528 @t3466)))))))) % 3.49/3.72 (assume @p2766 (forall (@list @t29 @t33 @t92 @t10) (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t33 @t29 @t3465 @t29))) % 3.49/3.72 (assume @p2767 (forall @t3818 (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t2 @t583 @t3465 @t583))) % 3.49/3.72 (assume @p2768 (forall @t3822 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t566) @t2371)) (=> @t3821 @t3820)))) % 3.49/3.72 (assume @p2769 (forall @t3822 (=> @t3783 @t3820))) % 3.49/3.72 (assume @p2770 (forall (@list @t3823 @t2 @t1261 @t10 @t92) (=> (and @t3578 (tptp.class_Rings_Osemiring__1 @t92)) (=> (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t3825 @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t1790) @t3823)))) (tptp.hBOOL (tptp.hAPP @t3575 (tptp.hAPP (tptp.hAPP @t3824 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t92) @t3065)) @t3823))))))) % 3.49/3.72 (assume @p2771 (forall (@list @t316 @t1261 @t10) (= (= @t3065 @t943) (exists (@list @t2338 @t3826) (and (= @t1261 (tptp.hAPP (tptp.hAPP @t3360 @t2338) @t3826)) (not (tptp.hBOOL (tptp.hAPP @t3813 @t3826))) (= (tptp.hAPP @t3064 @t3826) @t316) (=> @t1012 (= @t3826 @t3465))))))) % 3.49/3.72 (assume @p2772 (forall @t3827 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t10 @t3631 @t3680 @t1477 @t1524))) (and @t3683 @t3633)))) % 3.49/3.72 (assume @p2773 (forall @t3827 (= (tptp.hBOOL (tptp.hAPP @t3635 (tptp.c_SetInterval_Oord_OatLeastLessThan @t10 @t3631 @t3680 @t1477 @t1524))) (and @t3634 @t3682)))) % 3.49/3.72 (assume @p2774 (forall @t3547 (=> @t3546 @t3829))) % 3.49/3.72 (assume @p2775 (forall @t1337 (=> @t3521 @t3831))) % 3.49/3.72 (assume @p2776 (forall @t1479 (= @t3829 @t3832))) % 3.49/3.72 (assume @p2777 (forall @t1364 (= @t3831 @t3833))) % 3.49/3.72 (assume @p2778 (forall @t1479 (= (= @t3460 @t3828) @t3832))) % 3.49/3.72 (assume @p2779 (forall @t1364 (= (= @t3460 @t3830) @t3833))) % 3.49/3.72 (assume @p2780 (forall @t1930 (=> @t1577 (=> (tptp.hBOOL (tptp.hAPP @t1821 @t580)) (tptp.hBOOL (tptp.hAPP @t3835 @t3834)))))) % 3.49/3.72 (assume @p2781 (forall @t335 (=> @t502 (=> @t3838 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t3836) @t331)) @t500))))) % 3.49/3.72 (assume @p2782 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3581 (and (=> @t3799 (= @t3840 @t349)) (=> @t3800 (= @t3840 @t3839)))))))) % 3.49/3.72 (assume @p2783 (forall @t351 (=> @t3156 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3492) @t349)))) % 3.49/3.72 (assume @p2784 (forall @t1752 (=> @t2284 (tptp.hBOOL (tptp.hAPP @t3841 @t3837))))) % 3.49/3.72 (assume @p2785 (forall @t708 (=> @t2284 (=> @t3838 (=> @t3843 (tptp.hBOOL (tptp.hAPP @t3842 @t3837))))))) % 3.49/3.72 (assume @p2786 (forall @t708 (=> @t2284 (=> @t3838 (=> @t3843 (tptp.hBOOL (tptp.hAPP @t3844 @t3837))))))) % 3.49/3.72 (assume @p2787 (forall @t708 (=> @t2284 (=> @t3838 (=> @t3843 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t1415) @t3837))))))) % 3.49/3.72 (assume @p2788 (forall @t1930 (=> @t1577 (tptp.hBOOL (tptp.hAPP @t3835 @t3837))))) % 3.49/3.72 (assume @p2789 (forall @t1752 (=> @t2284 (tptp.hBOOL (tptp.hAPP @t3845 @t3837))))) % 3.49/3.72 (assume @p2790 (forall @t335 (=> @t2284 (=> @t3838 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t726) @t3837)))))) % 3.49/3.72 (assume @p2791 (forall @t571 (=> @t2284 (tptp.hBOOL (tptp.hAPP @t3846 @t3837))))) % 3.49/3.72 (assume @p2792 (forall @t1735 (=> @t2284 (=> @t3838 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t1733) @t3837)))))) % 3.49/3.72 (assume @p2793 (forall @t671 (=> @t2284 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t670) @t3837))))) % 3.49/3.72 (assume @p2794 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3581 (= @t3847 @t3840)))))) % 3.49/3.72 (assume @p2795 (forall @t1752 (=> @t145 (tptp.hBOOL (tptp.hAPP @t3841 @t3834))))) % 3.49/3.72 (assume @p2796 (forall @t708 (=> @t145 (=> @t3849 (=> @t3848 (tptp.hBOOL (tptp.hAPP @t3842 @t3834))))))) % 3.49/3.72 (assume @p2797 (forall @t708 (=> @t145 (=> @t3849 (=> @t3848 (tptp.hBOOL (tptp.hAPP @t3844 @t3834))))))) % 3.49/3.72 (assume @p2798 (forall @t1752 (=> @t145 (tptp.hBOOL (tptp.hAPP @t3845 @t3834))))) % 3.49/3.72 (assume @p2799 (forall @t571 (=> @t145 (tptp.hBOOL (tptp.hAPP @t3846 @t3834))))) % 3.49/3.72 (assume @p2800 (forall @t335 (=> @t751 (=> @t3838 @t366)))) % 3.49/3.72 (assume @p2801 (forall @t3453 (=> @t3156 (=> @t3355 @t3851)))) % 3.49/3.72 (assume @p2802 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t3155 @t3852) @t3840) @t3840))))))) % 3.49/3.72 (assume @p2803 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t3856))))))) % 3.49/3.72 (assume @p2804 (forall @t335 (=> @t751 (=> @t3838 (not (= @t3836 @t331)))))) % 3.49/3.72 (assume @p2805 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3667 @t3851))))) % 3.49/3.72 (assume @p2806 (forall @t3453 (=> @t3156 (=> @t3355 (and (=> @t3799 (= @t3850 @t349)) (=> @t3800 (= @t3850 @t3839))))))) % 3.49/3.72 (assume @p2807 (forall @t2536 (=> @t3156 (=> @t3355 (=> @t3479 (=> (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3859) @t3858))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3840) @t1261)))))))) % 3.49/3.72 (assume @p2808 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (and (=> @t3799 @t3862) (=> @t3800 (= @t3861 @t3860)))))))) % 3.49/3.72 (assume @p2809 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (and (=> @t3799 @t3865) (=> @t3800 (= @t3864 @t3863)))))))) % 3.49/3.72 (assume @p2810 (forall @t3868 (=> @t334 (=> @t3720 (=> @t3867 (= (tptp.hAPP @t700 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3085)) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3866))))))) % 3.49/3.72 (assume @p2811 (forall @t3868 (=> @t334 (=> @t3720 (=> @t3867 (= (tptp.hAPP @t700 (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3085)) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3866))))))) % 3.49/3.72 (assume @p2812 (forall @t351 (=> @t622 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3492) @t349)))) % 3.49/3.72 (assume @p2813 (forall @t351 (=> @t622 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3492) @t349)))) % 3.49/3.72 (assume @p2814 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (tptp.hBOOL (tptp.hAPP @t967 @t3861))))))) % 3.49/3.72 (assume @p2815 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t3864) @t349))))))) % 3.49/3.72 (assume @p2816 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 @t3869))))) % 3.49/3.72 (assume @p2817 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 @t3870))))) % 3.49/3.72 (assume @p2818 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (= @t3871 @t3864)))))) % 3.49/3.72 (assume @p2819 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (= @t3872 @t3861)))))) % 3.49/3.72 (assume @p2820 (forall @t3877 (=> @t622 (=> @t3876 (=> @t3875 (=> @t3874 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t3873) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3214))))))))) % 3.49/3.72 (assume @p2821 (forall @t3877 (=> @t622 (=> @t3876 (=> @t3875 (=> @t3874 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3214)) @t3878)))))))) % 3.49/3.72 (assume @p2822 (forall @t3453 (=> @t622 (=> @t3355 @t3880)))) % 3.49/3.72 (assume @p2823 (forall @t3453 (=> @t622 (=> @t3355 @t3882)))) % 3.49/3.72 (assume @p2824 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t2458 @t3883) @t3864) @t3864))))))) % 3.49/3.72 (assume @p2825 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t2569 @t3884) @t3861) @t3861))))))) % 3.49/3.72 (assume @p2826 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t3887))))))) % 3.49/3.72 (assume @p2827 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t3890))))))) % 3.49/3.72 (assume @p2828 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 @t3880))))) % 3.49/3.72 (assume @p2829 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 @t3882))))) % 3.49/3.72 (assume @p2830 (forall @t3453 (=> @t622 (=> @t3355 (and (=> @t3799 (= @t3879 @t349)) (=> @t3800 (= @t3879 @t3863))))))) % 3.49/3.72 (assume @p2831 (forall @t3453 (=> @t622 (=> @t3355 (and (=> @t3799 (= @t3881 @t349)) (=> @t3800 (= @t3881 @t3860))))))) % 3.49/3.72 (assume @p2832 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3892 @t3869)))))) % 3.49/3.72 (assume @p2833 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3894 @t3870)))))) % 3.49/3.72 (assume @p2834 (forall (@list @t133 @t33 @t29 @t30 @t32 @t92 @t10) (= (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t32 @t30 @t29 @t3896) (or (and @t3897 (= @t3896 @t30)) (exists @t2447 (and (= @t3896 (tptp.hAPP (tptp.hAPP @t32 @t4) @t267)) (tptp.hBOOL (tptp.hAPP @t2726 @t29)) (tptp.c_Nitpick_Ofold__graph_H @t10 @t92 @t32 @t30 (tptp.hAPP (tptp.hAPP @t2522 @t29) @t3895) @t267))))))) % 3.49/3.72 (assume @p2835 (forall (@list @t18 @t1972 @t430 @t378 @t21 @t168 @t92 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3903 (tptp.hAPP (tptp.hAPP @t3902 @t2351) @t2377)) (tptp.c_Wellfounded_Olex__prod @t10 @t92 @t1972 @t18))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3901 @t378)) @t1972)) (and @t379 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3900 (tptp.hAPP (tptp.hAPP @t3898 @t21) @t430)) @t18))))))) % 3.49/3.72 (assume @p2836 (forall @t3441 (and (=> @t3906 @t3909) (=> (not @t3906) (= @t3905 @t199))))) % 3.49/3.72 (assume @p2837 (forall (@list @t1261 @t92 @t1419 @t21 @t10) (=> @t3912 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t3911) (tptp.hAPP @t3910 @t21)) (tptp.c_Sum__Type_OPlus @t92 @t10 @t1261 @t1419)))))) % 3.49/3.72 (assume @p2838 (forall @t3702 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t2622) @t399) @t3904))))) % 3.49/3.72 (assume @p2839 (forall @t3488 (= (= @t3904 (tptp.c_Orderings_Obot__class_Obot @t3432)) (and @t3471 @t3913)))) % 3.49/3.72 (assume @p2840 (forall @t3488 (= @t3904 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3432) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t2622 @t398) @t1261)) (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2622 @t400) @t1419))))) % 3.49/3.72 (assume @p2841 (forall @t3488 (= @t3914 @t3906))) % 3.49/3.72 (assume @p2842 (forall @t3441 (=> @t3355 (=> @t3442 @t3914)))) % 3.49/3.72 (assume @p2843 (forall @t3488 (=> @t3914 @t3355))) % 3.49/3.72 (assume @p2844 (forall @t3488 (=> @t3914 @t3442))) % 3.49/3.72 (assume @p2845 (forall @t3429 (= (tptp.c_Sum__Type_OPlus @t10 @t92 @t3318 @t3322) @t3433))) % 3.49/3.72 (assume @p2846 (forall @t3441 (=> @t3355 (=> @t3442 @t3909)))) % 3.49/3.72 (assume @p2847 (forall (@list @t10 @t2412 @t610 @t3916 @t92 @t349 @t55) (=> @t2687 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3900 (tptp.hAPP (tptp.hAPP @t3898 @t3916) @t610)) @t3917)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3903 (tptp.hAPP (tptp.hAPP @t3902 (tptp.hAPP @t2372 @t3916)) @t2710)) @t3915)))))) % 3.49/3.72 (assume @p2848 (forall @t2442 (= (tptp.hBOOL (tptp.hAPP @t3922 @t3918)) (and @t2541 @t3350)))) % 3.49/3.72 (assume @p2849 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (and (=> @t3799 (= @t3924 @t349)) (=> @t3800 (= @t3924 @t3923)))))))) % 3.49/3.72 (assume @p2850 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (= @t3925 @t3924)))))) % 3.49/3.72 (assume @p2851 (forall @t351 (=> @t622 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3492) @t349)))) % 3.49/3.72 (assume @p2852 (forall @t3453 (=> @t622 (=> @t3355 @t3927)))) % 3.49/3.72 (assume @p2853 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t2569 @t3928) @t3924) @t3924))))))) % 3.49/3.72 (assume @p2854 (forall @t3416 (=> @t622 (=> @t3355 (=> @t3596 (= (tptp.hAPP @t3929 @t3924) @t168)))))) % 3.49/3.72 (assume @p2855 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t3932))))))) % 3.49/3.72 (assume @p2856 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 @t3927))))) % 3.49/3.72 (assume @p2857 (forall @t3453 (=> @t622 (=> @t3355 (and (=> @t3799 (= @t3926 @t349)) (=> @t3800 (= @t3926 @t3923))))))) % 3.49/3.72 (assume @p2858 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3892 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3924) @t1261)))))))) % 3.49/3.72 (assume @p2859 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t3933) @t3924))))))) % 3.49/3.72 (assume @p2860 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (and (=> @t3799 (= @t3933 @t349)) (=> @t3800 (= @t3933 @t3934)))))))) % 3.49/3.72 (assume @p2861 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3581 (= @t3935 @t3933)))))) % 3.49/3.72 (assume @p2862 (forall @t351 (=> @t622 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3492) @t349)))) % 3.49/3.72 (assume @p2863 (forall @t3453 (=> @t622 (=> @t3355 @t3937)))) % 3.49/3.72 (assume @p2864 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t2458 @t3938) @t3933) @t3933))))))) % 3.49/3.72 (assume @p2865 (forall @t3416 (=> @t622 (=> @t3355 (=> @t3596 (= (tptp.hAPP @t3939 @t3933) @t168)))))) % 3.49/3.72 (assume @p2866 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t3942))))))) % 3.49/3.72 (assume @p2867 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 @t3937))))) % 3.49/3.72 (assume @p2868 (forall @t3453 (=> @t622 (=> @t3355 (and (=> @t3799 (= @t3936 @t349)) (=> @t3800 (= @t3936 @t3934))))))) % 3.49/3.72 (assume @p2869 (forall @t2536 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3894 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3933) @t1261)))))))) % 3.49/3.72 (assume @p2870 (forall @t3943 (=> @t3801 (=> @t3355 (=> @t3479 (=> (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t2704) @t3858))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t3793) @t1261)))))))) % 3.49/3.72 (assume @p2871 (forall (@list @t610 @t2 @t92 @t1261 @t349 @t10) (and (=> @t3581 (= @t3948 (tptp.hAPP (tptp.hAPP @t3378 @t610) (tptp.hAPP @t3012 @t3537)))) (=> @t3667 (= @t3948 @t3014))))) % 3.49/3.72 (assume @p2872 (forall @t3949 (= (tptp.hAPP @t3946 @t566) @t2))) % 3.49/3.72 (assume @p2873 (forall (@list @t10 @t92 @t610 @t349 @t2) (=> @t3951 (= @t3950 @t2)))) % 3.49/3.72 (assume @p2874 (forall @t3956 @t3955)) % 3.49/3.72 (assume @p2875 (forall (@list @t809 @t21 @t314 @t92 @t10 @t20 @t168) (=> (not @t2946) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3944 (tptp.hAPP (tptp.hAPP @t3957 @t168) @t21)) @t20) @t809) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3944 (tptp.hAPP (tptp.hAPP @t3957 @t20) @t809)) @t168) @t21))))) % 3.49/3.72 (assume @p2876 (forall @t3956 (and (=> @t3954 (= @t3953 @t610)) @t3955))) % 3.49/3.72 (assume @p2877 (forall (@list @t610 @t349 @t2 @t10 @t92) (= (tptp.hAPP @t3950 @t349) @t610))) % 3.49/3.72 (assume @p2878 (forall @t3958 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3944 @t3947) @t349) @t583) (tptp.hAPP @t3946 @t583)))) % 3.49/3.72 (assume @p2879 (forall @t3959 (= (= @t3947 @t2) @t3951))) % 3.49/3.72 (assume @p2880 (forall (@list @t21 @t2 @t92 @t10 @t168 @t349) (and (=> @t3961 (= @t3960 @t21)) (=> @t3962 (= @t3960 @t566))))) % 3.49/3.72 (assume @p2881 (forall @t2387 (=> @t3966 (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2655 (tptp.hAPP (tptp.hAPP @t3965 @t168) @t3963)) @t3322)))))) % 3.49/3.72 (assume @p2882 (forall (@list @t610 @t314 @t92 @t1261 @t349 @t10) (=> @t3667 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3967 @t3972) @t1261) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t3967 @t314) @t1261))))) % 3.49/3.72 (assume @p2883 (forall (@list @t349 @t316 @t62 @t92 @t10) (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t62) @t316) @t3974) @t3973)))) % 3.49/3.72 (assume @p2884 (forall (@list @t610 @t349 @t21 @t168 @t314 @t10 @t92) (= (= (tptp.hAPP @t3977 @t349) @t3975) (or (and @t3961 (= @t21 @t610)) (and @t3962 (= @t3976 @t3975)))))) % 3.49/3.72 (assume @p2885 (forall (@list @t92 @t349 @t10 @t316 @t62) (=> (= (tptp.hAPP @t62 @t316) @t3548) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3964 @t62) @t316) @t3548) @t62)))) % 3.49/3.72 (assume @p2886 (forall (@list @t610 @t19 @t349 @t168 @t314 @t92 @t10) (=> (= (tptp.hAPP @t3978 @t3974) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t19) @t168) @t3968)) @t620))) % 3.49/3.72 (assume @p2887 (forall (@list @t3979 @t349 @t10 @t92) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3964 @t3980) @t349) @t356) @t3979) @t356))) % 3.49/3.72 (assume @p2888 (forall (@list @t21 @t92 @t10 @t168 @t314) (=> (= @t3982 @t356) (= (tptp.c_Map_Oran @t92 @t10 @t3977) (tptp.hAPP @t3364 @t3981))))) % 3.49/3.72 (assume @p2889 (forall (@list @t314 @t92 @t2527 @t349 @t10) (and (=> @t3986 (= @t3985 @t3989)) (=> @t3987 (= @t3985 @t3983))))) % 3.49/3.72 (assume @p2890 (forall (@list @t20 @t21 @t168 @t3085 @t10 @t92) (=> @t3995 (=> @t3720 (and (=> @t3717 (= @t3994 (tptp.hAPP (tptp.hAPP @t3824 @t3719) (tptp.hAPP @t3992 (tptp.hAPP (tptp.hAPP @t1397 @t3990) @t773))))) (=> @t3718 (= @t3994 (tptp.hAPP @t3992 @t3990)))))))) % 3.49/3.72 (assume @p2891 (forall @t3999 @t3998)) % 3.49/3.72 (assume @p2892 (forall @t2835 (=> @t3036 (= (tptp.hAPP (tptp.hAPP @t4000 (tptp.hAPP @t2508 @t709)) @t1261) @t709)))) % 3.49/3.72 (assume @p2893 (forall @t2746 (=> (and @t3036 @t2284) (= (tptp.hAPP @t669 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t92 tptp.tc_Int_Oint) @t2) @t1261)) (tptp.hAPP (tptp.hAPP @t4000 @t2820) @t1261))))) % 3.49/3.72 (assume @p2894 (forall @t2921 (= @t4005 (tptp.hAPP tptp.c_Int_Onat @t4002)))) % 3.49/3.72 (assume @p2895 (forall @t2746 (=> (and @t3036 @t145) (= (tptp.hAPP @t568 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t92 tptp.tc_Nat_Onat) @t2) @t1261)) (tptp.hAPP (tptp.hAPP @t4000 @t2810) @t1261))))) % 3.49/3.72 (assume @p2896 (forall @t2921 (= (tptp.hAPP @t576 @t4005) @t4002))) % 3.49/3.72 (assume @p2897 (forall @t2841 (=> @t3036 (= (tptp.hAPP (tptp.hAPP @t4000 (tptp.hAPP (tptp.hAPP @t2839 @t2844) @t1)) @t1261) (tptp.hAPP (tptp.hAPP @t704 @t4008) (tptp.hAPP @t4006 @t1261)))))) % 3.49/3.72 (assume @p2898 (forall @t2746 (=> @t2043 (= (tptp.hAPP @t1584 @t4008) (tptp.hAPP (tptp.hAPP @t4000 @t2741) @t1261))))) % 3.49/3.72 (assume @p2899 (forall @t2921 (=> @t3037 (= (tptp.hAPP (tptp.hAPP @t4010 @t2) @t1261) (tptp.hAPP (tptp.hAPP @t4009 @t2201) @t3019))))) % 3.49/3.72 (assume @p2900 (forall @t3386 (=> @t4016 (=> @t3355 (=> @t4015 @t4013))))) % 3.49/3.72 (assume @p2901 (forall @t3386 (=> (and @t4016 (tptp.class_Rings_Ono__zero__divisors @t92)) (=> @t3355 (= @t4013 @t4015))))) % 3.49/3.72 (assume @p2902 (forall @t3491 (=> @t3036 (= (tptp.hAPP @t4007 @t3473) @t709)))) % 3.49/3.72 (assume @p2903 (forall @t3490 (=> @t3036 (= (tptp.hAPP @t4006 @t3473) @t709)))) % 3.49/3.72 (assume @p2904 (forall @t3386 (=> @t3995 (=> @t3383 (= @t4012 @t4017))))) % 3.49/3.72 (assume @p2905 (forall @t3385 (=> @t3995 @t4020))) % 3.49/3.72 (assume @p2906 (forall @t3392 (=> @t3391 (= (= (tptp.hAPP @t4004 @t3389) @t773) (forall @t8 (=> @t3390 @t3407)))))) % 3.49/3.72 (assume @p2907 (forall (@list @t349 @t2527 @t10 @t92) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t92 @t10 @t3980 @t2527) @t349) @t356))) % 3.49/3.72 (assume @p2908 (forall @t3078 (=> @t3037 (=> @t3077 (= @t4021 (tptp.hAPP (tptp.hAPP @t4010 @t3074) @t3073)))))) % 3.49/3.72 (assume @p2909 (forall @t3401 (=> @t3995 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3993 @t4023) @t1261) (tptp.hAPP @t4022 (tptp.hAPP (tptp.hAPP @t3993 @t205) @t1261))))))) % 3.49/3.72 (assume @p2910 (forall @t4026 (=> (tptp.class_Fields_Ofield__inverse__zero @t92) (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3993 (tptp.hAPP (tptp.hAPP @t3400 (tptp.hAPP (tptp.hAPP @t3399 @t4024) @t2)) @t1)) @t1261) (tptp.hAPP @t4025 @t4019)))))) % 3.49/3.72 (assume @p2911 (forall @t3999 @t4027)) % 3.49/3.72 (assume @p2912 (forall (@list @t2 @t143 @t1261 @t10 @t92) (=> @t4016 (=> @t3355 (=> @t3688 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t4028) @t4012))))))) % 3.49/3.72 (assume @p2913 (forall @t4033 (=> @t3720 (= @t4032 @t4031)))) % 3.49/3.72 (assume @p2914 (forall @t3579 (=> (and @t3995 (tptp.class_Rings_Odvd @t92)) (=> @t3350 (=> @t2441 (tptp.hBOOL (tptp.hAPP @t4035 @t4034))))))) % 3.49/3.72 (assume @p2915 (forall @t4036 (= (tptp.c_Map_Orestrict__map @t10 @t92 @t2 @t3414) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 (tptp.c_Map_Orestrict__map @t10 @t92 @t2 @t1261)) @t168) @t2354)))) % 3.49/3.72 (assume @p2916 (forall @t3721 (=> @t3995 (=> @t3720 (and (=> @t3717 (= @t4037 @t3719)) (=> @t3718 (= @t4037 @t4017))))))) % 3.49/3.72 (assume @p2917 (forall @t3721 (=> @t3995 (=> @t3720 (and (=> @t3717 (= @t4038 @t3719)) (=> @t3718 (= @t4038 @t4017))))))) % 3.49/3.72 (assume @p2918 (forall @t3999 (and @t3998 @t4027))) % 3.49/3.72 (assume @p2919 (forall (@list @t349 @t314 @t10 @t92) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t92 @t10 @t314 @t3473) @t349) @t356))) % 3.49/3.72 (assume @p2920 (forall (@list @t610 @t1261 @t10 @t92) (=> @t3995 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3993 (tptp.hAPP @t3477 @t610)) @t1261) (tptp.hAPP (tptp.hAPP @t3991 @t610) @t3065)))))) % 3.49/3.72 (assume @p2921 (forall @t3725 (=> @t3995 (=> @t3355 (=> @t3667 (= @t4040 (tptp.hAPP @t4039 @t4019))))))) % 3.49/3.72 (assume @p2922 (forall @t3733 (=> @t3995 (=> @t3355 (=> @t3628 (= (tptp.hAPP @t4011 @t3414) (tptp.hAPP (tptp.hAPP @t3824 @t2354) @t4012))))))) % 3.49/3.72 (assume @p2923 (forall @t4042 (=> @t4041 (tptp.hBOOL (tptp.hAPP @t3606 @t3981))))) % 3.49/3.72 (assume @p2924 (forall @t3541 (=> @t3995 (=> @t3355 (= @t4040 @t4043))))) % 3.49/3.72 (assume @p2925 (forall (@list @t610 @t349 @t2527 @t314 @t92 @t10) @t4045)) % 3.49/3.72 (assume @p2926 (forall @t4046 (= (tptp.c_Map_Oran @t92 @t10 @t3980) @t3465))) % 3.49/3.72 (assume @p2927 (forall @t3725 (=> @t3995 (=> @t3355 (=> @t3581 (= @t4019 @t4043)))))) % 3.49/3.72 (assume @p2928 (forall (@list @t168 @t2 @t1261 @t10 @t92) (=> @t4048 (=> @t3355 (=> (not (= @t2354 @t3381)) (and (=> @t3596 (= @t4047 (tptp.hAPP @t4025 @t2354))) (=> @t3628 (= @t4047 @t4012)))))))) % 3.49/3.72 (assume @p2929 (forall @t4049 (=> @t3986 @t4045))) % 3.49/3.72 (assume @p2930 (forall @t4049 (and (=> @t3986 (= @t4050 @t4044)) (=> @t3987 (= @t4050 @t3983))))) % 3.49/3.72 (assume @p2931 (forall @t3949 (= (tptp.c_Map_Orestrict__map @t10 @t92 @t2 @t4052) (tptp.hAPP @t4051 @t391)))) % 3.49/3.72 (assume @p2932 (forall (@list @t610 @t349 @t314 @t92 @t10) (= (tptp.c_Map_Orestrict__map @t10 @t92 @t3972 @t4052) (tptp.c_Map_Orestrict__map @t10 @t92 @t314 @t4052)))) % 3.49/3.72 (assume @p2933 (forall (@list @t143 @t1419 @t2 @t18 @t10 @t92) (=> @t4057 (=> @t4056 (=> @t4055 (=> (= @t4054 @t1419) (=> @t4053 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t4028) @t1419))))))))) % 3.49/3.72 (assume @p2934 (forall (@list @t143 @t2 @t18 @t10 @t92) (=> @t4057 (=> @t4056 (=> @t4055 (=> (= @t4054 @t3381) (=> @t4053 (= @t4028 @t3381)))))))) % 3.49/3.72 (assume @p2935 (forall @t4064 (=> @t4063 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t18) @t62)) @t4062)))) % 3.49/3.72 (assume @p2936 (forall @t4064 (=> @t1517 @t4062))) % 3.49/3.72 (assume @p2937 (forall @t4064 (=> @t4063 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t18) @t62)) @t4065)))) % 3.49/3.72 (assume @p2938 (forall (@list @t171 @t349 @t169 @t610) (=> (tptp.hBOOL (tptp.hAPP @t4076 @t169)) (=> @t4074 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4072 @t169)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4069 (tptp.hAPP @t4067 @t171)) @t169)) tptp.c_FunDef_Omax__strict))))))) % 3.49/3.72 (assume @p2939 (forall @t4084 (=> @t4083 (=> @t4074 (=> (tptp.hBOOL (tptp.hAPP @t4082 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4081 tptp.c_FunDef_Omin__strict))))))) % 3.49/3.72 (assume @p2940 (forall @t4087 (=> (not (= @t171 @t4085)) (tptp.hBOOL (tptp.hAPP @t4086 tptp.c_FunDef_Omin__strict))))) % 3.49/3.72 (assume @p2941 (forall (@list @t169) (=> (tptp.hBOOL (tptp.hAPP @t4089 @t169)) (=> (not (= @t169 @t4085)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4088 @t169)) tptp.c_FunDef_Omax__strict)))))) % 3.49/3.72 (assume @p2942 (forall @t4064 (=> @t1517 @t4065))) % 3.49/3.72 (assume @p2943 (forall @t4084 (=> @t4083 (=> @t4090 (=> (tptp.hBOOL (tptp.hAPP @t4082 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4081 tptp.c_FunDef_Omin__weak))))))) % 3.49/3.72 (assume @p2944 (forall (@list @t4079 @t349 @t4077 @t610) (=> (tptp.hBOOL (tptp.hAPP @t4076 @t4077)) (=> @t4090 (=> (tptp.hBOOL (tptp.hAPP @t4082 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP (tptp.hAPP @t4069 (tptp.hAPP @t4067 @t4079)) @t4077)) tptp.c_FunDef_Omax__weak))))))) % 3.49/3.72 (assume @p2945 (forall @t3078 (=> @t3750 (= (tptp.hAPP (tptp.hAPP @t4001 @t2) @t1261) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t4003 @t3749) @t1261)))))) % 3.49/3.72 (assume @p2946 (forall @t4087 (=> (tptp.hBOOL (tptp.hAPP @t4089 @t171)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4071 (tptp.hAPP @t4088 @t171)) tptp.c_FunDef_Omax__weak))))) % 3.49/3.72 (assume @p2947 (forall @t4087 (tptp.hBOOL (tptp.hAPP @t4086 tptp.c_FunDef_Omin__weak)))) % 3.49/3.72 (assume @p2948 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4093 (tptp.c_Wellfounded_Omin__ext @t2360 tptp.c_FunDef_Opair__leq)) @t4092))) % 3.49/3.72 (assume @p2949 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4093 (tptp.c_Wellfounded_Omax__ext @t2360 tptp.c_FunDef_Opair__leq)) @t4092))) % 3.49/3.72 (assume @p2950 (tptp.c_FunDef_Oreduction__pair @t4068 (tptp.hAPP (tptp.hAPP @t4094 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 3.49/3.72 (assume @p2951 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t2360 tptp.c_FunDef_Opair__less))) % 3.49/3.72 (assume @p2952 (forall (@list @t2527 @t2521 @t2412 @t1419 @t1261 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3922 @t4095)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t2521) @t2527)) @t4095)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t3131) (tptp.hAPP @t3129 @t2527))) @t4095)))))) % 3.49/3.72 (assume @p2953 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t2360 tptp.c_FunDef_Opair__less))) % 3.49/3.72 (assume @p2954 (tptp.c_FunDef_Oreduction__pair @t4068 (tptp.hAPP (tptp.hAPP @t4094 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 3.49/3.72 (assume @p2955 (forall (@list @t3979 @t349 @t2412 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 (tptp.hAPP @t4101 @t2412) @t349 @t3979) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t349) @t3979)) @t4095))))) % 3.49/3.72 (assume @p2956 (forall @t614 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4075 @t2359) tptp.c_Wellfounded_Oless__than)) @t611))) % 3.49/3.72 (assume @p2957 (forall @t4106 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4060 (tptp.hAPP (tptp.hAPP @t4058 @t2359) @t4105)) tptp.c_Int_Ointrel)) (= @t4104 @t4102)))) % 3.49/3.72 (assume @p2958 (= 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))) % 3.49/3.72 (assume @p2959 (forall (@list @t2412 @t2 @t10) (= @t3819 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4107 @t10) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t10 tptp.c_Wellfounded_Oless__than @t2412)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t4107) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t10 @t4107) @t10) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t10)) @t2)) @t2159))))) % 3.49/3.72 (assume @p2960 (forall @t4110 (=> @t4109 (tptp.c_FunDef_Oreduction__pair @t92 (tptp.hAPP (tptp.hAPP @t4108 @t55) @t2))))) % 3.49/3.72 (assume @p2961 (forall @t4117 (=> @t622 (=> @t4116 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3367)) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t4112)))))))) % 3.49/3.72 (assume @p2962 (forall @t3429 (= @t4108 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3760 @t3760 @t4124) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3760 @t4127 @t4126) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4125 (tptp.tc_fun @t4127 @t4126) @t3760) (tptp.c_COMBB @t4123 @t4124 @t3760)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4122 @t4125 @t3760) (tptp.c_COMBS @t1263 @t4119 @t4120)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4123 @t4122 @t3760) (tptp.hAPP (tptp.c_COMBB @t4119 @t4121 @t1263) (tptp.c_Product__Type_OPair @t4119 @t4119))) @t4118)))) @t4118))))) % 3.49/3.72 (assume @p2963 (forall (@list @t2 @t1972 @t92 @t610 @t349 @t10) (= (tptp.hBOOL (tptp.hAPP @t3787 @t4129)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3900 (tptp.hAPP (tptp.hAPP @t3898 @t566) @t2371)) @t1972))))) % 3.49/3.72 (assume @p2964 (forall @t4117 (=> @t622 (=> @t4130 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3367)) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t4112)))))))) % 3.49/3.72 (assume @p2965 (forall @t4117 (=> @t622 (=> @t4116 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 @t3878) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t4112)))))))) % 3.49/3.72 (assume @p2966 (forall @t1752 (= @t3784 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t10) tptp.c_Wellfounded_Oless__than)))) % 3.49/3.72 (assume @p2967 (forall @t1975 (= (tptp.c_Relation_Oirrefl @t10 @t1972) @t4131))) % 3.49/3.72 (assume @p2968 (forall @t4136 (= (tptp.hAPP @t4132 (tptp.hAPP (tptp.hAPP @t4135 @t4134) @t1972)) (tptp.hAPP (tptp.hAPP @t3096 @t3469) @t4133)))) % 3.49/3.72 (assume @p2969 (forall @t2536 (= @t4138 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3760) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3760 @t3760) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3759 (tptp.tc_fun @t3760 @t3760) @t10) @t4135) @t4137)) @t3762))))) % 3.49/3.72 (assume @p2970 (forall @t2536 (= @t4138 (tptp.hAPP @t4141 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 tptp.tc_HOL_Obool @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4139 (tptp.tc_fun tptp.tc_HOL_Obool @t2309) @t10) (tptp.c_COMBC @t10 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t4140 tptp.c_fequal))) @t1261))))) % 3.49/3.72 (assume @p2971 (forall @t1752 (= (tptp.c_Relation_OId__on @t10 @t3465) @t3762))) % 3.49/3.72 (assume @p2972 (forall @t1752 (= (tptp.hAPP @t4132 @t3762) @t3465))) % 3.49/3.72 (assume @p2973 (forall @t4145 (=> @t4144 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4133) @t4142))))) % 3.49/3.72 (assume @p2974 (forall @t4145 (= (tptp.hAPP @t4132 @t4148) (tptp.hAPP (tptp.hAPP @t3096 @t4133) @t4142)))) % 3.49/3.72 (assume @p2975 (forall @t1975 (=> @t4150 (tptp.hBOOL (tptp.hAPP @t3349 @t4133))))) % 3.49/3.72 (assume @p2976 (forall @t3654 (=> @t703 (=> @t3596 (tptp.hBOOL (tptp.hAPP @t4151 @t4138)))))) % 3.49/3.72 (assume @p2977 (forall @t3376 (= (tptp.hBOOL (tptp.hAPP @t3787 @t4138)) (and @t620 @t3581)))) % 3.49/3.72 (assume @p2978 (forall @t3615 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 @t20) @t4138)) (not (forall @t8 (=> @t3039 (not (= @t20 @t3767)))))))) % 3.49/3.72 (assume @p2979 (forall @t4117 (=> @t622 (=> @t4130 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 @t3873) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t4112)))))))) % 3.49/3.72 (assume @p2980 (forall @t4117 (=> @t3156 (=> (forall @t2447 (= (tptp.hAPP @t205 @t3859) (tptp.hAPP (tptp.hAPP @t3155 @t4115) @t4114))) (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3367)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t4112)))))))) % 3.49/3.72 (assume @p2981 (forall @t4160 (=> @t3995 (=> @t4159 (=> @t4158 (=> @t4157 (= @t4154 @t4153))))))) % 3.49/3.72 (assume @p2982 (forall @t4160 (=> @t3995 (=> @t4159 (=> @t4158 (=> @t4157 (= @t4153 @t4154))))))) % 3.49/3.72 (assume @p2983 (forall @t4160 (=> @t3044 (=> @t4159 (=> @t4158 (=> @t4163 (= @t4162 @t4161))))))) % 3.49/3.72 (assume @p2984 (forall @t4160 (=> @t3044 (=> @t4159 (=> @t4158 (=> @t4163 (= @t4161 @t4162))))))) % 3.49/3.72 (assume @p2985 (forall (@list @t51 @t20 @t16 @t10 @t55) (=> (forall @t57 (=> @t56 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t4164 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_HOL_Obool) tptp.c_fequal) @t53))) @t20) (tptp.hAPP @t4164 @t52))) @t3549)))) @t3556))) % 3.49/3.72 (assume @p2986 (forall @t2536 (=> @t3355 (= (tptp.hAPP @t4167 @t4166) (tptp.hAPP (tptp.hAPP @t1705 @t1884) @t3065))))) % 3.49/3.72 (assume @p2987 (forall @t2442 (=> @t2441 @t4171))) % 3.49/3.72 (assume @p2988 (forall @t3423 (= (tptp.hAPP @t4165 @t3414) (tptp.hAPP @t4173 (tptp.hAPP (tptp.c_Set_Oimage @t2309 @t2309 @t3361) @t4166))))) % 3.49/3.72 (assume @p2989 (forall @t1752 (= (tptp.hAPP @t4165 @t3465) (tptp.hAPP (tptp.hAPP @t4175 @t3465) @t4174)))) % 3.49/3.72 (assume @p2990 (forall @t3319 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t3465) @t4168)))) % 3.49/3.72 (assume @p2991 (forall @t2536 (not (= @t4166 @t4174)))) % 3.49/3.72 (assume @p2992 (forall @t2536 (tptp.hBOOL (tptp.hAPP @t4170 @t4166)))) % 3.49/3.72 (assume @p2993 (forall @t2442 (=> @t4171 @t2441))) % 3.49/3.72 (assume @p2994 (forall @t2442 (= @t4171 @t2441))) % 3.49/3.72 (assume @p2995 (forall @t2536 (not (exists @t4177 (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t2309 @t4176) @t1261) @t4166))))) % 3.49/3.72 (assume @p2996 (forall @t3126 (=> (= @t3010 @t1419) (= @t4178 @t4168)))) % 3.49/3.72 (assume @p2997 (forall @t1752 (= (tptp.hAPP @t4165 @t3318) @t4179))) % 3.49/3.72 (assume @p2998 (forall @t2536 (= (tptp.hBOOL (tptp.hAPP @t4180 @t4166)) @t3355))) % 3.49/3.72 (assume @p2999 (forall @t2442 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 @t4166) @t4168))))) % 3.49/3.72 (assume @p3000 (forall @t2442 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 (tptp.hAPP @t4173 @t4168)) (tptp.hAPP @t4165 @t3113))))) % 3.49/3.72 (assume @p3001 (forall @t3488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t2729) @t1261) @t4181)) (tptp.hAPP @t4165 @t3266))))) % 3.49/3.72 (assume @p3002 (forall @t3453 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t10 @t4183) @t349)) (tptp.hBOOL (tptp.hAPP @t4182 @t4166))))) % 3.49/3.72 (assume @p3003 (forall @t3032 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3010) @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 @t4178) @t4168))))) % 3.49/3.72 (assume @p3004 (forall (@list @t55 @t1261 @t10) (=> @t3355 (=> (tptp.hBOOL (tptp.hAPP @t55 @t1261)) (=> (forall @t4189 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t4186)) (=> @t4188 (=> (tptp.hBOOL (tptp.hAPP @t55 @t4186)) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP (tptp.hAPP @t2522 @t4186) (tptp.hAPP @t4185 @t3465)))))))) @t4184))))) % 3.49/3.72 (assume @p3005 (forall @t4195 (=> @t4194 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t4193))))))) % 3.49/3.72 (assume @p3006 (forall (@list @t55 @t1261 @t3389 @t10) (=> @t3391 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3389) @t1261)) (=> @t4184 (=> (forall (@list @t402 @t4196) (=> (tptp.hBOOL (tptp.hAPP @t3349 @t4196)) (=> @t4197 (=> (not (tptp.hBOOL (tptp.hAPP @t4187 @t4196))) (=> (tptp.hBOOL (tptp.hAPP @t55 @t4196)) (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t4185 @t4196)))))))) (tptp.hBOOL (tptp.hAPP @t55 @t3389)))))))) % 3.49/3.72 (assume @p3007 (forall @t3803 (=> @t4194 @t4198))) % 3.49/3.72 (assume @p3008 (forall @t3802 (=> @t4194 (=> @t3355 (=> @t3581 (= @t3808 @t3793)))))) % 3.49/3.72 (assume @p3009 (forall @t3802 (=> @t4194 (=> @t3355 @t3810)))) % 3.49/3.72 (assume @p3010 (forall @t4195 (=> @t4194 (=> @t3355 (=> @t3853 (=> @t2439 @t4199)))))) % 3.49/3.72 (assume @p3011 (forall @t4026 (=> (and @t3044 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t92)) (=> @t3355 (=> @t3479 (=> (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4200 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4200 @t3352) @t3382)))))))) % 3.49/3.72 (assume @p3012 (forall @t614 (= (= (tptp.hAPP @t4201 (tptp.hAPP @t4067 @t4085)) (tptp.hAPP @t4201 (tptp.hAPP @t4078 @t4085))) (tptp.hBOOL (tptp.hAPP @t4073 tptp.c_Int_Ointrel))))) % 3.49/3.72 (assume @p3013 (forall @t4205 (=> @t4204 (=> @t3355 (=> @t3442 (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2622 @t530) @t2) @t3904) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus @t530) (tptp.hAPP (tptp.hAPP @t4203 (tptp.hAPP (tptp.c_Fun_Ocomp @t2622 @t530 @t10 @t2) @t398)) @t1261)) (tptp.hAPP (tptp.hAPP @t4202 (tptp.hAPP (tptp.c_Fun_Ocomp @t2622 @t530 @t92 @t2) @t400)) @t1419)))))))) % 3.49/3.72 (assume @p3014 (forall @t4207 (= (tptp.hAPP @t4206 @t3473) @t3465))) % 3.49/3.72 (assume @p3015 (forall (@list @t1419 @t1261 @t2412 @t10 @t92) (= (tptp.hAPP @t4206 @t3125) (tptp.hAPP @t4210 @t4208)))) % 3.49/3.72 (assume @p3016 (forall (@list @t1419 @t1261 @t530 @t1972 @t10 @t92) (= (tptp.hAPP @t4211 @t3276) (tptp.hAPP @t3275 @t4212)))) % 3.49/3.72 (assume @p3017 (forall (@list @t1972 @t1 @t2 @t530 @t10 @t92) (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t10 @t92 @t2) @t1)) @t1972) (tptp.hAPP @t3324 (tptp.hAPP @t3323 @t1972))))) % 3.49/3.72 (assume @p3018 (forall (@list @t349 @t2 @t20 @t530 @t10 @t92) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t10 @t530 @t4213) @t2) @t349) @t20))) % 3.49/3.72 (assume @p3019 (forall @t4217 (=> (= @t4216 @t20) @t4215))) % 3.49/3.72 (assume @p3020 (forall @t2607 (= (tptp.hAPP @t2597 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2394 @t530 @t92 @t1) @t349)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2394 @t10 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t10 @t2394 @t2) @t1)) @t349)))) % 3.49/3.72 (assume @p3021 (forall @t2565 (= (tptp.hAPP @t2375 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2394 @t530 @t10 @t1) @t349)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2394 @t92 @t10 @t4218) @t349)))) % 3.49/3.72 (assume @p3022 (forall (@list @t2392 @t2394 @t530 @t10 @t92 @t4219 @t4220 @t4221 @t349 @t1 @t2) (=> (= @t3791 (tptp.hAPP @t4221 (tptp.hAPP @t4220 @t4219))) (= @t4223 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t10 @t2392 @t4221) @t4220) @t4219))))) % 3.49/3.72 (assume @p3023 (forall (@list @t349 @t1 @t2 @t530 @t10 @t92) (= @t4223 @t3791))) % 3.49/3.72 (assume @p3024 (forall (@list @t205 @t1 @t2394 @t2 @t10 @t92 @t530) (= (tptp.hAPP @t4224 (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t530 @t10 @t1) @t205)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t92 @t10 @t4218) @t205)))) % 3.49/3.72 (assume @p3025 (forall (@list @t1624 @t809 @t20 @t2394 @t21 @t168 @t10 @t92 @t530) (=> @t4225 (= @t4214 (tptp.hAPP @t20 (tptp.hAPP @t809 @t1624)))))) % 3.49/3.72 (assume @p3026 (forall (@list @t809 @t20 @t2394 @t21 @t168 @t10 @t92 @t530) (=> @t4225 (forall @t4227 (= (tptp.hAPP @t168 (tptp.hAPP @t21 @t4226)) (tptp.hAPP @t20 (tptp.hAPP @t809 @t4226))))))) % 3.49/3.72 (assume @p3027 (forall (@list @t610 @t349 @t1 @t2 @t10 @t92 @t530) (= (tptp.hAPP @t4224 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t10 @t530) @t1) @t349) @t610)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3944 @t4228) @t349) @t2371)))) % 3.49/3.72 (assume @p3028 (forall (@list @t1 @t530 @t2 @t10 @t92) (=> @t3335 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t10 @t530 @t1) @t3318) @t4229) (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t530 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t530 @t92 @t1) @t2)) @t3322) @t4229))))) % 3.49/3.72 (assume @p3029 (forall (@list @t1261 @t4232 @t1972 @t4233 @t92 @t10) (=> @t4234 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4232) @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t92 @t4233) @t4232)) @t4231)))))) % 3.49/3.72 (assume @p3030 (forall (@list @t1261 @t3085 @t2412 @t10 @t92) (= (tptp.hAPP (tptp.c_Relation_OImage @t92 @t10 (tptp.hAPP (tptp.hAPP @t4236 @t2412) @t3085)) @t1261) (tptp.hAPP @t4210 (tptp.hAPP (tptp.c_Relation_OImage @t92 @t10 @t3085) @t1261))))) % 3.49/3.72 (assume @p3031 (forall @t4242 (= @t4241 (exists @t8 (and @t3264 @t4239))))) % 3.49/3.72 (assume @p3032 (forall (@list @t1972 @t21 @t92 @t1261 @t168 @t10) (=> @t3596 (=> @t4243 (tptp.hBOOL (tptp.hAPP @t3617 @t4231)))))) % 3.49/3.72 (assume @p3033 (forall (@list @t1419 @t1972 @t10 @t92) (= (tptp.hAPP @t4211 @t1419) (tptp.hAPP @t3303 (tptp.hAPP (tptp.hAPP @t4245 @t4211) @t4244))))) % 3.49/3.72 (assume @p3034 (forall (@list @t168 @t1972 @t92 @t21 @t10) (= (tptp.hBOOL (tptp.hAPP @t3606 @t4248)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 @t4247) @t1972))))) % 3.49/3.72 (assume @p3035 (forall (@list @t1483 @t143 @t10) (=> @t2284 (= (tptp.hAPP @t669 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP (tptp.hAPP @t2141 @t143) @t1483)) @t4085)))) (tptp.hAPP (tptp.hAPP @t1414 (tptp.hAPP @t568 @t143)) (tptp.hAPP @t568 @t1483)))))) % 3.49/3.72 (assume @p3036 (= @t686 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP (tptp.hAPP @t2141 @t773) @t199)) @t4085))))) % 3.49/3.72 (assume @p3037 (forall @t4106 (= (tptp.hAPP (tptp.hAPP @t674 @t4252) @t4251) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t4250 @t1524)) (tptp.hAPP @t4249 @t1624))) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t4250 @t1624)) (tptp.hAPP @t4249 @t1524)))) @t4085)))))) % 3.49/3.72 (assume @p3038 (forall (@list @t2 @t1 @t530 @t1261 @t10 @t92) (= (tptp.hAPP @t3265 (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t2309 @t92 @t1) @t2)) (tptp.hAPP @t3292 @t1)))) % 3.49/3.72 (assume @p3039 (forall @t1759 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3652) @t349))) % 3.49/3.72 (assume @p3040 (forall (@list @t349 @t1 @t2 @t2394 @t10 @t530 @t92) (= (tptp.hAPP (tptp.hAPP @t2384 (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t2828 @t92 @t2) @t1)) @t349) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t2518 @t349))) @t2420)))) % 3.49/3.72 (assume @p3041 (= @t1962 (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))) % 3.49/3.72 (assume @p3042 (= 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 @t576) tptp.c_Code__Numeral_Onat__of))) % 3.49/3.72 (assume @p3043 (forall @t614 (= (tptp.hAPP @t677 @t4252) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP (tptp.hAPP @t2141 @t610) @t349)) @t4085)))))) % 3.49/3.72 (assume @p3044 (= @t575 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP @t2145 @t199)) @t4085))))) % 3.49/3.72 (assume @p3045 (forall @t1961 (= @t588 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP @t4253 @t199)) @t4085)))))) % 3.49/3.72 (assume @p3046 (forall @t4106 (= (tptp.hAPP (tptp.hAPP @t581 @t4252) @t4251) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 (tptp.hAPP (tptp.hAPP @t2141 (tptp.hAPP @t4103 @t1524)) (tptp.hAPP (tptp.hAPP @t260 @t610) @t1624))) @t4085)))))) % 3.49/3.72 (assume @p3047 (forall @t614 (= (tptp.hAPP tptp.c_Int_Onat @t4252) @t1464))) % 3.49/3.72 (assume @p3048 (forall @t685 (= (tptp.hAPP @t677 @t583) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2360 @t4068) @t3574) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4068) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4256 @t4256 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4068 @t4068 tptp.tc_Nat_Onat) @t4201)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4068 @t4256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4255 (tptp.tc_fun @t4068 @t4256) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4068 @t4068)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2433 @t4255 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t2360 @t4254 tptp.tc_Nat_Onat) @t4066)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2360) @t2141)))) @t4085)))))))) % 3.49/3.72 (assume @p3049 (forall @t4106 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t4252) @t4251)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t4104) @t4102))))) % 3.49/3.72 (assume @p3050 (forall @t4106 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t900 @t4252) @t4251)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t4104) @t4102))))) % 3.49/3.72 (assume @p3051 (forall (@list @t809 @t51 @t20 @t21 @t55 @t16 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP @t4258 @t51)) @t3549)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t4257) @t809) @t51)) @t3549)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP @t59 (tptp.c_Com_Ocom_OCond @t21 @t20 @t809)) @t51)) @t3549)))))) % 3.49/3.72 (assume @p3052 (forall @t3558 (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP @t4258 @t55)) @t3549)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP @t59 @t22) @t4257)) @t3549))))) % 3.49/3.72 (assume @p3053 (forall @t1752 (= @t2641 (tptp.hAPP (tptp.c_Fun_Ocomp @t2176 tptp.tc_Int_Oint @t10 @t2404) @t4259)))) % 3.49/3.72 (assume @p3054 (forall (@list @t18 @t1760 @t1553 @t55 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t10 @t55 @t1553) @t1760) @t18)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t1760) @t18)) (tptp.hBOOL (tptp.hAPP @t1553 @t18)))))) % 3.49/3.72 (assume @p3055 (forall @t1752 (= @t2644 (tptp.hAPP (tptp.c_Fun_Ocomp @t2176 tptp.tc_Int_Oint @t10 @t2443) @t4259)))) % 3.49/3.72 (assume @p3056 (forall @t4262 (=> @t4261 (=> @t3355 (=> @t3581 (= @t3793 @t4260)))))) % 3.49/3.72 (assume @p3057 (forall @t685 (not (forall @t2447 (not (= @t583 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t4066 @t2446) @t4085))))))))) % 3.49/3.72 (assume @p3058 (forall @t4262 (=> @t4261 (=> @t3355 (= @t3809 @t4260))))) % 3.49/3.72 (assume @p3059 (forall (@list @t205 @t1 @t2630 @t2 @t530 @t2394 @t2392 @t3389 @t251 @t92 @t10) (=> (tptp.c_Finite__Set_Ofolding @t10 @t92 @t251 @t3389) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2392 @t2394 @t530 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t2630 @t2392 @t530 @t1) @t205)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2630 @t2394 @t530 (tptp.hAPP (tptp.c_Fun_Ocomp @t2392 @t2394 @t2630 @t2) @t1)) @t205))))) % 3.49/3.72 (assume @p3060 (forall (@list @t349 @t610 @t3389 @t2 @t92 @t10) (=> @t4261 (= @t4265 @t4264)))) % 3.49/3.72 (assume @p3061 (forall (@list @t1 @t349 @t610 @t530 @t3389 @t2 @t92 @t10) (=> @t4261 (= (tptp.hAPP @t4266 @t4268) (tptp.hAPP @t4267 (tptp.hAPP @t4266 @t1)))))) % 3.49/3.72 (assume @p3062 (forall (@list @t1 @t530 @t1419 @t1261 @t3389 @t2 @t92 @t10) (=> @t4261 (=> @t3355 (=> @t3350 (= (tptp.hAPP @t4269 @t4271) (tptp.hAPP @t4270 (tptp.hAPP @t4269 @t1)))))))) % 3.49/3.72 (assume @p3063 (forall @t4274 (=> @t4261 (=> @t3355 (=> @t3350 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t4190) @t3793) @t4273)))))) % 3.49/3.72 (assume @p3064 (forall (@list @t1 @t349 @t530 @t1261 @t3389 @t2 @t92 @t10) (=> @t4261 (=> @t3355 (= (tptp.hAPP @t4267 @t4271) (tptp.hAPP @t4270 @t4268)))))) % 3.49/3.72 (assume @p3065 (forall @t4262 (=> @t4261 (=> @t3355 (= (tptp.hAPP @t4263 @t3793) @t4275))))) % 3.49/3.72 (assume @p3066 (forall @t4262 (=> @t4261 (=> @t3355 (=> @t3667 @t4276))))) % 3.49/3.72 (assume @p3067 (forall (@list @t92 @t205 @t2 @t3085 @t10 @t530) (=> @t4204 (=> @t3720 (=> (forall @t8 (=> @t4030 (forall @t270 (=> (tptp.hBOOL (tptp.hAPP @t4282 @t3085)) (=> (not @t4281) (=> @t4280 (= (tptp.hAPP @t205 @t6) (tptp.c_Groups_Ozero__class_Ozero @t530)))))))) (= (tptp.hAPP @t4279 (tptp.hAPP @t3012 @t3085)) (tptp.hAPP @t4278 @t3085))))))) % 3.49/3.72 (assume @p3068 (forall @t4283 (= (tptp.c_Random__Sequence_Omap @t92 @t10 @t2 @t55) (tptp.c_Random__Sequence_Obind @t92 @t10 @t55 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2699)) @t92 @t2721) @t2))))) % 3.49/3.72 (assume @p3069 (forall @t4289 (= @t4288 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t2729) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2729 @t2729) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t4286 @t10) @t4175) (tptp.hAPP (tptp.hAPP @t4285 @t4284) @t3519))) @t4174))))) % 3.49/3.72 (assume @p3070 (forall @t4289 (= (= @t4288 @t4174) @t3471))) % 3.49/3.72 (assume @p3071 (forall @t4289 (= (= @t4174 @t4288) @t3471))) % 3.49/3.72 (assume @p3072 (forall @t1975 (= (tptp.hAPP (tptp.hAPP @t4287 @t3465) @t1972) @t4174))) % 3.49/3.72 (assume @p3073 (forall (@list @t1972 @t1261 @t349 @t10) (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t4290) @t4288))))) % 3.49/3.72 (assume @p3074 (forall @t4292 (= @t4291 (tptp.hAPP (tptp.hAPP @t4175 @t4290) @t4174)))) % 3.49/3.72 (assume @p3075 (forall (@list @t168 @t21 @t1972 @t1261 @t10) (=> @t4297 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4296) @t4295)) @t4294)))) % 3.49/3.72 (assume @p3076 (forall (@list @t1972 @t1261 @t171 @t10) (=> @t4299 (not (forall @t8 (=> (= @t171 (tptp.hAPP @t4284 @t3895)) @t3630)))))) % 3.49/3.72 (assume @p3077 (forall @t4301 (=> @t4297 (=> @t3581 (=> @t3656 (= (= @t4291 (tptp.hAPP (tptp.hAPP @t4287 @t3735) @t1972)) @t4300)))))) % 3.49/3.72 (assume @p3078 (tptp.c_Equiv__Relations_Oequiv @t2360 @t4302 tptp.c_Int_Ointrel)) % 3.49/3.72 (assume @p3079 (forall @t4303 (=> @t4297 (=> @t3596 (tptp.hBOOL (tptp.hAPP @t3595 @t4295)))))) % 3.49/3.72 (assume @p3080 (forall @t4305 (=> @t4297 (=> @t4293 @t4304)))) % 3.49/3.72 (assume @p3081 (forall @t4310 (=> @t4297 (=> @t4299 (=> @t4309 (=> @t4308 (=> @t4307 (= @t4306 @t4300)))))))) % 3.49/3.72 (assume @p3082 (forall @t4310 (=> @t4297 (=> @t4299 (=> @t4309 (=> @t4308 (=> @t4307 (=> @t4300 @t4306)))))))) % 3.49/3.72 (assume @p3083 (forall @t4301 (=> @t4297 (=> @t3581 (=> @t3656 (= @t4311 @t4300)))))) % 3.49/3.72 (assume @p3084 (forall (@list @t1261 @t21 @t168 @t1972 @t10) (=> @t4304 (=> @t4297 @t4294)))) % 3.49/3.72 (assume @p3085 (forall @t4301 (=> @t4297 (= @t4300 (and @t4311 @t3581 @t3656))))) % 3.49/3.72 (assume @p3086 (forall @t4305 (=> @t4297 (=> @t4293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4295) @t4296)))))) % 3.49/3.72 (assume @p3087 (forall (@list @t29 @t33 @t2 @t530 @t4312 @t4318 @t92 @t4316 @t4319 @t10) (=> @t4322 (=> @t4321 (=> @t4320 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t33) @t4319)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3262 @t29) @t4318)) (= (tptp.hAPP (tptp.hAPP @t4317 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4316) (tptp.hAPP @t4315 @t3465))) (tptp.hAPP (tptp.hAPP @t4314 (tptp.hAPP @t3278 (tptp.hAPP @t4313 (tptp.hAPP (tptp.hAPP @t3378 @t29) @t3473)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t33) @t29))))))))) % 3.49/3.72 (assume @p3088 (forall (@list @t168 @t2 @t92 @t1972 @t1261 @t10) (=> @t4297 (=> @t4323 (=> @t3596 (= (tptp.hAPP (tptp.hAPP @t3229 @t4295) @t2) @t2354)))))) % 3.49/3.72 (assume @p3089 (forall (@list @t21 @t168 @t349 @t1972 @t1261 @t10) (=> @t4297 (=> (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP (tptp.hAPP @t4324 @t4295) @t4296))) @t4293)))) % 3.49/3.72 (assume @p3090 (forall (@list @t10 @t1419 @t349 @t1261) (=> @t3111 (=> @t3110 @t4327)))) % 3.49/3.72 (assume @p3091 (forall @t3115 (=> @t4327 (not (=> @t3111 @t3116))))) % 3.49/3.72 (assume @p3092 (forall @t3611 (=> @t4328 (not @t3589)))) % 3.49/3.72 (assume @p3093 (forall @t3611 (=> @t3585 (=> @t3584 @t4328)))) % 3.49/3.72 (assume @p3094 (forall @t3438 (=> (or @t3391 @t3436) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.hAPP @t4324 @t3389) @t16)))))) % 3.49/3.72 (assume @p3095 (forall @t623 (=> (tptp.class_Lattices_Obounded__lattice__top @t10) (= (= @t4331 @t3320) (and (= @t349 @t3320) (= @t610 @t3320)))))) % 3.49/3.72 (assume @p3096 (forall @t353 (=> @t3326 (= (tptp.hAPP @t4333 @t3325) @t101)))) % 3.49/3.72 (assume @p3097 (forall @t353 (=> @t3326 (= (tptp.hAPP (tptp.hAPP @t4332 @t3325) @t101) @t101)))) % 3.49/3.72 (assume @p3098 (forall @t2536 (= (tptp.hAPP @t4325 @t3318) @t1261))) % 3.49/3.72 (assume @p3099 (forall @t3319 (= (tptp.hAPP (tptp.hAPP @t4324 @t3318) @t1419) @t1419))) % 3.49/3.72 (assume @p3100 (forall @t3611 (=> @t4328 @t3584))) % 3.49/3.72 (assume @p3101 (forall @t3611 (=> @t4328 @t3585))) % 3.49/3.72 (assume @p3102 (forall @t3611 (= @t4328 (and @t3585 @t3584)))) % 3.49/3.72 (assume @p3103 (forall @t3668 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4324 @t3648) @t3647) @t349)) (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP (tptp.hAPP @t4324 @t2412) @t3085)))))) % 3.49/3.72 (assume @p3104 (forall @t2047 (=> @t4336 (= (tptp.hAPP (tptp.hAPP @t3136 @t4335) @t101) (tptp.hAPP (tptp.hAPP @t4332 @t3144) (tptp.hAPP (tptp.hAPP @t3136 @t306) @t101)))))) % 3.49/3.72 (assume @p3105 (forall @t2047 (=> @t4336 (= (tptp.hAPP (tptp.hAPP @t4332 @t3151) @t101) (tptp.hAPP (tptp.hAPP @t3136 @t4337) (tptp.hAPP (tptp.hAPP @t4332 @t306) @t101)))))) % 3.49/3.72 (assume @p3106 (forall @t657 (=> @t4336 (= @t4339 @t4338)))) % 3.49/3.72 (assume @p3107 (forall @t657 (=> @t4336 (= @t4343 @t4342)))) % 3.49/3.72 (assume @p3108 (forall @t555 (=> @t3147 (= (tptp.hAPP @t3139 @t4341) @t101)))) % 3.49/3.72 (assume @p3109 (forall @t555 (=> @t3147 (= (tptp.hAPP @t4333 @t3145) @t101)))) % 3.49/3.72 (assume @p3110 (forall @t2526 (= (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP @t4350 @t4349)) @t4347) (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP @t4345 @t3132)) @t4344)))) % 3.49/3.72 (assume @p3111 (forall @t4351 (= (tptp.hAPP (tptp.hAPP @t3096 @t4349) @t1261) (tptp.hAPP (tptp.hAPP @t4324 @t3130) @t4344)))) % 3.49/3.72 (assume @p3112 (forall @t4351 (= (tptp.hAPP (tptp.hAPP @t4324 @t3132) @t1261) (tptp.hAPP (tptp.hAPP @t3096 @t4352) @t4347)))) % 3.49/3.72 (assume @p3113 (forall @t2526 (= (tptp.hAPP @t3112 @t4349) (tptp.hAPP @t4345 @t3131)))) % 3.49/3.72 (assume @p3114 (forall @t2526 (= @t4354 (tptp.hAPP @t4350 @t4353)))) % 3.49/3.72 (assume @p3115 (forall @t3319 (= (tptp.hAPP (tptp.hAPP @t4324 @t3465) @t1419) @t3465))) % 3.49/3.72 (assume @p3116 (forall @t2536 (= (tptp.hAPP @t4325 @t3465) @t3465))) % 3.49/3.72 (assume @p3117 (forall @t2442 (= @t4355 (forall @t8 (=> @t3039 (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP @t3261 @t1419)) @t3404))))))) % 3.49/3.72 (assume @p3118 (forall @t353 (=> @t3489 (= (tptp.hAPP (tptp.hAPP @t4332 @t3476) @t101) @t3476)))) % 3.49/3.72 (assume @p3119 (forall @t353 (=> @t3489 (= (tptp.hAPP @t4333 @t3476) @t3476)))) % 3.49/3.72 (assume @p3120 (forall @t4357 (= (tptp.hAPP (tptp.hAPP @t4324 @t3414) @t3362) @t4356))) % 3.49/3.72 (assume @p3121 (forall (@list @t1419 @t1261 @t314 @t92 @t10) (= (tptp.c_Map_Orestrict__map @t10 @t92 @t3996 @t1419) (tptp.c_Map_Orestrict__map @t10 @t92 @t314 @t4326)))) % 3.49/3.72 (assume @p3122 (forall @t3023 (=> @t3077 (=> @t3080 (tptp.c_Nat__Transfer_Onat__set @t4359))))) % 3.49/3.72 (assume @p3123 (forall @t3115 (=> @t4327 @t3111))) % 3.49/3.72 (assume @p3124 (forall @t3115 (=> @t4327 @t3110))) % 3.49/3.72 (assume @p3125 (forall @t2536 (= (tptp.hAPP @t4325 @t1261) @t1261))) % 3.49/3.72 (assume @p3126 (forall @t2442 (= @t4326 @t4352))) % 3.49/3.72 (assume @p3127 (forall @t2442 (= (tptp.hAPP @t4325 @t4326) @t4326))) % 3.49/3.72 (assume @p3128 (forall @t2526 (= @t4360 (tptp.hAPP @t4348 @t4353)))) % 3.49/3.72 (assume @p3129 (forall @t2526 (= (tptp.hAPP (tptp.hAPP @t4324 @t4326) @t2521) @t4360))) % 3.49/3.72 (assume @p3130 (forall @t329 (=> @t4362 (= (tptp.hAPP @t4361 @t249) @t249)))) % 3.49/3.72 (assume @p3131 (forall @t353 (=> @t4362 @t4363))) % 3.49/3.72 (assume @p3132 (forall @t509 (=> @t4362 (= @t4365 (tptp.hAPP @t4364 @t249))))) % 3.49/3.72 (assume @p3133 (forall @t555 (=> @t3147 @t4366))) % 3.49/3.72 (assume @p3134 (forall @t555 (=> @t4362 @t4366))) % 3.49/3.72 (assume @p3135 (forall @t509 (=> @t4362 (= (tptp.hAPP @t4361 @t4365) @t4365)))) % 3.49/3.72 (assume @p3136 (forall @t555 (=> @t3147 @t4367))) % 3.49/3.72 (assume @p3137 (forall @t555 (=> @t4362 @t4367))) % 3.49/3.72 (assume @p3138 (forall @t280 (=> @t4362 (= (tptp.hAPP @t4364 (tptp.hAPP @t4361 @t87)) @t4368)))) % 3.49/3.72 (assume @p3139 (forall @t657 (=> @t3147 @t4370))) % 3.49/3.72 (assume @p3140 (forall @t657 (=> @t4362 @t4370))) % 3.49/3.72 (assume @p3141 (forall @t285 (=> @t4362 (= (tptp.hAPP (tptp.hAPP @t4332 @t4365) @t87) @t4368)))) % 3.49/3.72 (assume @p3142 (forall @t657 (=> @t3147 @t4371))) % 3.49/3.72 (assume @p3143 (forall @t657 (=> @t4362 @t4371))) % 3.49/3.72 (assume @p3144 (forall @t3157 (=> @t3156 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1263) @t2) @t1) @t349) (tptp.hAPP (tptp.hAPP @t4329 @t566) @t969))))) % 3.49/3.72 (assume @p3145 (forall @t1752 (=> (and @t4372 @t622) (= @t4329 @t2458)))) % 3.49/3.72 (assume @p3146 (forall @t353 (=> @t3147 @t4363))) % 3.49/3.72 (assume @p3147 (forall @t2474 (=> @t4362 (=> @t2486 @t4373)))) % 3.49/3.72 (assume @p3148 (forall @t2472 (=> @t4362 (=> @t2485 @t4373)))) % 3.49/3.72 (assume @p3149 (forall @t3175 (= @t4375 (tptp.hAPP @t4374 @t1419)))) % 3.49/3.72 (assume @p3150 (forall @t2526 (= (tptp.hAPP @t4376 @t2521) @t4375))) % 3.49/3.72 (assume @p3151 (forall @t2526 (= (tptp.hAPP (tptp.hAPP @t2522 @t4326) @t2521) (tptp.hAPP @t4325 @t3161)))) % 3.49/3.72 (assume @p3152 (forall @t4377 (= (tptp.hAPP @t4346 @t2529) (tptp.hAPP (tptp.hAPP @t2522 @t4347) (tptp.hAPP @t4346 @t1419))))) % 3.49/3.72 (assume @p3153 (forall @t2477 (=> @t4362 (=> @t4378 @t2481)))) % 3.49/3.72 (assume @p3154 (forall @t1619 (=> @t4362 (=> @t972 (=> @t2480 (tptp.hBOOL (tptp.hAPP @t4379 (tptp.hAPP (tptp.hAPP @t4332 @t87) @t370)))))))) % 3.49/3.72 (assume @p3155 (forall @t657 (=> @t4362 (=> @t963 (=> @t979 (tptp.hBOOL (tptp.hAPP @t914 @t4335))))))) % 3.49/3.72 (assume @p3156 (forall @t2477 (=> @t4362 (=> @t1137 (=> @t2476 @t4378))))) % 3.49/3.72 (assume @p3157 (forall @t981 (=> @t4362 (=> @t962 (= @t4341 @t100))))) % 3.49/3.72 (assume @p3158 (forall @t555 (=> @t4362 (=> @t963 (= @t4341 @t101))))) % 3.49/3.72 (assume @p3159 (forall @t2474 (=> @t4362 (=> @t2473 @t4380)))) % 3.49/3.72 (assume @p3160 (forall @t2472 (=> @t4362 (=> @t2471 @t4380)))) % 3.49/3.72 (assume @p3161 (forall @t2461 (=> @t4372 (= (tptp.hBOOL (tptp.hAPP @t967 (tptp.hAPP (tptp.hAPP @t4329 @t610) @t583))) @t2466)))) % 3.49/3.72 (assume @p3162 (forall @t623 (=> @t4372 (= @t968 (= @t4331 @t349))))) % 3.49/3.72 (assume @p3163 (forall @t555 (=> @t4362 @t4382))) % 3.49/3.72 (assume @p3164 (forall @t555 (=> @t3147 @t4382))) % 3.49/3.72 (assume @p3165 (forall @t555 (=> @t4362 @t4383))) % 3.49/3.72 (assume @p3166 (forall @t555 (=> @t3147 @t4383))) % 3.49/3.72 (assume @p3167 (forall @t2442 (tptp.hBOOL (tptp.hAPP @t4384 @t1261)))) % 3.49/3.72 (assume @p3168 (forall @t2442 (tptp.hBOOL (tptp.hAPP @t4384 @t1419)))) % 3.49/3.72 (assume @p3169 (forall @t2442 (=> @t2441 (= @t4326 @t1261)))) % 3.49/3.72 (assume @p3170 (forall @t3160 (=> @t2439 (= @t4326 @t1419)))) % 3.49/3.72 (assume @p3171 (forall @t4377 (=> @t4385 (=> (tptp.hBOOL (tptp.hAPP @t3366 @t1419)) (tptp.hBOOL (tptp.hAPP @t3366 @t4326)))))) % 3.49/3.72 (assume @p3172 (forall @t3178 (=> @t2531 (=> @t3177 (tptp.hBOOL (tptp.hAPP @t4384 (tptp.hAPP @t4346 @t2527))))))) % 3.49/3.72 (assume @p3173 (forall @t2442 (= (tptp.hAPP @t4165 @t4326) (tptp.hAPP (tptp.hAPP @t4386 @t4166) @t4168)))) % 3.49/3.72 (assume @p3174 (forall @t4394 (= (tptp.hAPP (tptp.hAPP @t4324 @t3289) (tptp.hAPP @t4392 @t1419)) (tptp.hAPP @t3288 (tptp.hAPP (tptp.hAPP @t4393 @t4392) (tptp.hAPP (tptp.hAPP @t4390 (tptp.hAPP @t4389 @t4387)) @t1419)))))) % 3.49/3.72 (assume @p3175 (forall @t3254 (= @t4396 @t4395))) % 3.49/3.72 (assume @p3176 (forall @t4398 (= (tptp.hAPP @t4348 @t3289) (tptp.hAPP @t3288 (tptp.hAPP (tptp.hAPP @t4397 @t4348) @t1261))))) % 3.49/3.72 (assume @p3177 (forall @t4401 (= @t4400 @t4399))) % 3.49/3.72 (assume @p3178 (forall @t3255 (= @t4395 @t4396))) % 3.49/3.72 (assume @p3179 (forall @t3255 (= @t4399 @t4400))) % 3.49/3.72 (assume @p3180 (forall @t657 (=> @t3147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t4339) @t4338))))) % 3.49/3.72 (assume @p3181 (forall @t657 (=> @t3147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t4342) @t4343))))) % 3.49/3.72 (assume @p3182 (forall @t353 (=> @t1182 (= (tptp.hAPP @t4333 @t768) @t3476)))) % 3.49/3.72 (assume @p3183 (forall @t353 (=> @t1182 (= (tptp.hAPP @t4402 @t101) @t3476)))) % 3.49/3.72 (assume @p3184 (forall @t555 (=> @t1182 (= @t1476 (tptp.hAPP @t4333 @t1181))))) % 3.49/3.72 (assume @p3185 (forall @t555 (=> @t1182 (= (tptp.hAPP @t716 @t4341) (tptp.hAPP @t3328 @t1181))))) % 3.49/3.72 (assume @p3186 (forall @t555 (=> @t1182 (= (tptp.hAPP @t716 @t3145) (tptp.hAPP @t4402 @t1181))))) % 3.49/3.72 (assume @p3187 (forall @t4406 @t4405)) % 3.49/3.72 (assume @p3188 (forall @t4357 @t4408)) % 3.49/3.72 (assume @p3189 (forall @t4406 @t4409)) % 3.49/3.72 (assume @p3190 (forall @t4357 @t4410)) % 3.49/3.72 (assume @p3191 (forall @t4406 (and @t4405 @t4409))) % 3.49/3.72 (assume @p3192 (forall @t4357 (and @t4408 @t4410))) % 3.49/3.72 (assume @p3193 (forall @t3032 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t3008 @t4413)) (tptp.hAPP (tptp.hAPP @t4324 @t3010) @t3031))))) % 3.49/3.72 (assume @p3194 (forall @t2442 (= (tptp.hAPP @t4325 @t3158) @t3465))) % 3.49/3.72 (assume @p3195 (forall @t2442 (=> @t4355 (= @t2529 @t1261)))) % 3.49/3.72 (assume @p3196 (forall @t2526 (= (= (tptp.hAPP @t4350 @t2521) @t4354) @t4385))) % 3.49/3.72 (assume @p3197 (forall @t2526 (= (tptp.hAPP @t2528 @t4349) (tptp.hAPP @t4414 @t3162)))) % 3.49/3.72 (assume @p3198 (forall @t2526 (= (tptp.hAPP @t2528 @t3132) (tptp.hAPP @t4376 @t3162)))) % 3.49/3.72 (assume @p3199 (forall @t2442 (= (tptp.hAPP @t4414 @t4326) @t1261))) % 3.49/3.72 (assume @p3200 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4415 @t3186) @t3465)))) % 3.49/3.72 (assume @p3201 (forall @t3023 (= (tptp.hAPP (tptp.hAPP @t4416 @t1261) @t1419) (tptp.hAPP @t3066 (tptp.hAPP (tptp.hAPP @t4358 @t3019) @t3018))))) % 3.49/3.72 (assume @p3202 (forall @t2536 (= (tptp.hAPP @t4325 @t2533) @t3465))) % 3.49/3.72 (assume @p3203 (forall @t2536 (= (tptp.hAPP @t4417 @t1261) @t3465))) % 3.49/3.72 (assume @p3204 (forall @t4420 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4419) @t4418)))) % 3.49/3.72 (assume @p3205 (forall @t2442 (= (tptp.hAPP @t2532 @t4326) (tptp.hAPP @t3193 @t2534)))) % 3.49/3.72 (assume @p3206 (forall @t2442 (= (tptp.hAPP @t2532 @t3113) (tptp.hAPP @t4417 @t2534)))) % 3.49/3.72 (assume @p3207 (forall @t2442 (= @t2529 (tptp.hAPP @t4325 @t2534)))) % 3.49/3.72 (assume @p3208 (forall @t2442 (= (tptp.hAPP @t2528 @t2534) @t4326))) % 3.49/3.72 (assume @p3209 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4421 @t3190) @t3465)))) % 3.49/3.72 (assume @p3210 (forall @t2442 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t4138) @t1419) @t4326))) % 3.49/3.72 (assume @p3211 (forall @t3023 (=> @t3077 (=> @t3080 (= @t4359 (tptp.hAPP @t2998 (tptp.hAPP (tptp.hAPP @t4416 @t3073) @t3079))))))) % 3.49/3.72 (assume @p3212 (forall (@list @t168 @t2 @t4312 @t530 @t92 @t4316 @t1261 @t10) (=> (tptp.c_Equiv__Relations_Oequiv @t10 @t1261 @t4316) (=> @t4422 (=> @t3596 (tptp.c_Equiv__Relations_Ocongruent @t92 @t530 @t4312 @t2354)))))) % 3.49/3.72 (assume @p3213 (forall @t3416 (=> @t3156 (=> @t3355 (=> @t3596 (= (tptp.hAPP @t4423 @t3840) @t168)))))) % 3.49/3.72 (assume @p3214 (forall @t2442 (= @t4355 (tptp.hBOOL (tptp.hAPP @t2440 @t2534))))) % 3.49/3.72 (assume @p3215 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4415 @t3094) @t3465)))) % 3.49/3.72 (assume @p3216 (forall @t814 (=> @t622 (= (tptp.hAPP @t4427 @t2908) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t4426 @t4425))))) % 3.49/3.72 (assume @p3217 (forall @t814 (=> @t622 (= (tptp.hAPP (tptp.hAPP @t4324 @t2944) @t2943) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t10 @t4426) @t4425))))) % 3.49/3.72 (assume @p3218 (forall @t3122 (=> @t606 (= (tptp.hAPP @t4428 @t3180) @t3465)))) % 3.49/3.72 (assume @p3219 (forall @t3122 (=> @t606 (= (tptp.hAPP @t4428 @t3103) @t3465)))) % 3.49/3.72 (assume @p3220 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4429 @t3190) @t3465)))) % 3.49/3.72 (assume @p3221 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4429 @t3104) @t3465)))) % 3.49/3.72 (assume @p3222 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4430 @t3094) @t3465)))) % 3.49/3.72 (assume @p3223 (forall @t814 (=> @t622 (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t168 @t21)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t20 @t809)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t10 @t4426 @t4425))))) % 3.49/3.72 (assume @p3224 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4430 @t3186) @t3465)))) % 3.49/3.72 (assume @p3225 (forall @t814 (=> @t622 (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t168 @t21)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t20 @t809)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t10 @t4426 @t4425))))) % 3.49/3.72 (assume @p3226 (forall (@list @t809 @t21 @t168 @t10) (=> @t622 (= (tptp.hAPP @t4427 (tptp.hAPP @t3117 @t809)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t168 @t4425))))) % 3.49/3.72 (assume @p3227 (forall (@list @t809 @t20 @t21 @t10) (=> @t622 (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP @t3117 @t21)) @t2908) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t20 @t4425))))) % 3.49/3.72 (assume @p3228 (forall @t3122 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t4324 @t3103) @t3202) @t3465)))) % 3.49/3.72 (assume @p3229 (forall @t3122 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t4324 @t3180) @t3198) @t3465)))) % 3.49/3.72 (assume @p3230 (forall @t296 (=> @t622 (= (tptp.hAPP @t4427 (tptp.hAPP @t3201 @t20)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t4426 @t21))))) % 3.49/3.72 (assume @p3231 (forall (@list @t809 @t20 @t168 @t10) (=> @t622 (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP @t3201 @t168)) @t2908) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t10 @t4426 @t809))))) % 3.49/3.72 (assume @p3232 (forall @t3122 (=> @t606 (= (tptp.hAPP @t4431 @t3093) @t3465)))) % 3.49/3.72 (assume @p3233 (forall @t3101 (=> @t606 (= (tptp.hAPP @t4421 @t3104) @t3465)))) % 3.49/3.72 (assume @p3234 (forall @t3122 (=> @t606 (= (tptp.hAPP @t4431 @t3184) @t3465)))) % 3.49/3.72 (assume @p3235 (forall @t3122 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t4324 @t3184) @t3202) @t3465)))) % 3.49/3.72 (assume @p3236 (forall @t3122 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t4324 @t3093) @t3198) @t3465)))) % 3.49/3.72 (assume @p3237 (forall @t4433 (=> @t3795 (=> @t3794 (=> @t3442 (= (tptp.hAPP (tptp.hAPP @t2 @t4432) (tptp.hAPP @t3389 @t4413)) @t4191)))))) % 3.49/3.72 (assume @p3238 (forall @t555 (=> @t1182 (=> (= @t4341 @t3476) (=> (= @t3145 @t3325) (= @t768 @t100)))))) % 3.49/3.72 (assume @p3239 (forall @t4436 (=> @t3044 (=> @t3355 (=> @t3350 (= (tptp.hAPP (tptp.hAPP @t3396 @t4435) (tptp.hAPP @t3041 @t4326)) @t4434)))))) % 3.49/3.72 (assume @p3240 (forall @t4436 (=> @t3995 (=> @t3355 (=> @t3350 (= (tptp.hAPP (tptp.hAPP @t3824 @t4439) (tptp.hAPP @t4018 @t4326)) @t4438)))))) % 3.49/3.72 (assume @p3241 (forall @t2442 (=> @t3355 (=> @t3350 (= @t4443 @t4442))))) % 3.49/3.72 (assume @p3242 (forall @t2442 (=> @t3355 (=> @t3350 (= @t4442 @t4443))))) % 3.49/3.72 (assume @p3243 (forall @t2442 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t4326)) (= @t3410 (tptp.hAPP @t3411 @t4440))))) % 3.49/3.72 (assume @p3244 (forall @t4447 (=> @t3044 (=> @t3355 (= @t4446 @t4445))))) % 3.49/3.72 (assume @p3245 (forall @t4274 (=> @t4261 (=> @t3355 (=> @t3350 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t92 @t92 @t4192) @t4448) @t4273)))))) % 3.49/3.72 (assume @p3246 (forall (@list @t169 @t171 @t1972 @t1261 @t10) (=> @t4297 (=> @t4299 (=> @t4309 (or @t4306 (= (tptp.hAPP (tptp.hAPP @t4324 @t171) @t169) @t3465))))))) % 3.49/3.72 (assume @p3247 (forall @t571 (=> @t606 (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP @t3117 @t19)) (tptp.hAPP @t3201 @t19)) (tptp.hAPP (tptp.hAPP @t3360 @t19) @t3465))))) % 3.49/3.72 (assume @p3248 (forall @t4195 (=> @t3801 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t2 @t4192) @t4448) @t4191))))))) % 3.49/3.72 (assume @p3249 (forall @t4195 (=> @t3801 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t4193)))))))) % 3.49/3.72 (assume @p3250 (forall @t4433 (=> @t3795 (=> @t3794 (=> @t3442 (=> (= @t4413 @t3473) @t4450)))))) % 3.49/3.72 (assume @p3251 (forall (@list @t2 @t1972 @t92 @t10) (= @t4457 (forall @t8 (=> @t4456 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4141 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t956 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2682 @t4454 @t10) @t4453) @t4452)) @t2)) @t4))))))) % 3.49/3.72 (assume @p3252 (forall @t4436 (=> @t3044 (=> @t3355 (=> @t3350 (=> @t4355 @t4458)))))) % 3.49/3.72 (assume @p3253 (forall @t3245 (=> @t3356 (=> @t3355 (=> @t3350 (= (tptp.hAPP @t3042 @t3113) (tptp.hAPP (tptp.hAPP @t3353 (tptp.hAPP (tptp.hAPP @t3396 @t3352) @t3351)) @t4446))))))) % 3.49/3.72 (assume @p3254 (forall @t4436 (=> @t3995 (=> @t3355 (=> @t3350 (=> @t4355 @t4459)))))) % 3.49/3.72 (assume @p3255 (forall @t2442 (=> @t3355 (=> @t3350 (=> @t4355 @t4460))))) % 3.49/3.72 (assume @p3256 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t3856)))))))) % 3.49/3.72 (assume @p3257 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t3155 @t3855) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t4326)) @t3854))))))) % 3.49/3.72 (assume @p3258 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t3887)))))))) % 3.49/3.72 (assume @p3259 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t2458 @t3886) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t4326)) @t3885))))))) % 3.49/3.72 (assume @p3260 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t2569 @t3889) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t4326)) @t3888))))))) % 3.49/3.72 (assume @p3261 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t3890)))))))) % 3.49/3.72 (assume @p3262 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t3942)))))))) % 3.49/3.72 (assume @p3263 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t2458 @t3941) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t4326)) @t3940))))))) % 3.49/3.72 (assume @p3264 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t2569 @t3931) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t4326)) @t3930))))))) % 3.49/3.72 (assume @p3265 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t3932)))))))) % 3.49/3.72 (assume @p3266 (forall (@list @t4461 @t4463 @t4462 @t4464 @t2 @t4312 @t4316 @t530 @t92 @t10) (=> @t4422 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 @t4464) @t4462)) @t4316)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3900 (tptp.hAPP (tptp.hAPP @t3898 @t4463) @t4461)) @t4312)) (= (tptp.hAPP (tptp.hAPP @t2 @t4464) @t4463) (tptp.hAPP (tptp.hAPP @t2 @t4462) @t4461))))))) % 3.49/3.72 (assume @p3267 (forall (@list @t2 @t1419 @t1261 @t10) (=> @t3355 (=> @t3350 (= (tptp.hAPP @t2919 @t3113) (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP (tptp.hAPP @t260 @t2920) @t3347)) (tptp.hAPP @t2919 @t4326))))))) % 3.49/3.72 (assume @p3268 (forall @t4274 (=> @t4261 (=> @t3355 (=> @t3350 (=> @t4355 @t4465)))))) % 3.49/3.72 (assume @p3269 (forall (@list @t583 @t610 @t2 @t1972 @t92 @t10) (=> @t4457 (=> (tptp.hBOOL (tptp.hAPP @t4467 @t1972)) (= @t2371 @t3952))))) % 3.49/3.72 (assume @p3270 (forall (@list @t168 @t2 @t530 @t4312 @t4318 @t92 @t4316 @t4319 @t10) (=> @t4322 (=> @t4321 (=> @t4320 (=> (tptp.hBOOL (tptp.hAPP @t4468 @t4318)) (tptp.c_Equiv__Relations_Ocongruent @t10 @t2413 @t4316 (tptp.hAPP (tptp.hAPP @t4314 (tptp.hAPP @t3278 (tptp.hAPP @t4313 @t3516))) @t2)))))))) % 3.49/3.72 (assume @p3271 (forall (@list @t169 @t171 @t2 @t92 @t1972 @t1261 @t10) (=> @t4297 (=> @t4323 (=> (= @t4472 (tptp.hAPP (tptp.hAPP @t3229 @t169) @t2)) (=> @t4299 (=> @t4309 (=> (forall @t8 (=> @t3039 (forall @t270 (=> @t4471 (=> @t4280 @t4470))))) @t4306)))))))) % 3.49/3.72 (assume @p3272 (forall (@list @t1419 @t4473 @t4474 @t2 @t530 @t4312 @t4318 @t92 @t4316 @t4319 @t10) (=> @t4322 (=> @t4321 (=> @t4320 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t4474) (tptp.hAPP (tptp.hAPP @t4287 @t4319) @t4316))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4477 @t4473) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t92) @t4318) @t4312))) (=> (forall @t1101 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t1099) @t4319)) (forall (@list @t4476) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3262 @t4476) @t4318)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4475 (tptp.hAPP (tptp.hAPP @t2 @t1099) @t4476)) @t1419)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4475 (tptp.hAPP (tptp.hAPP @t4317 @t4474) (tptp.hAPP (tptp.hAPP @t4314 (tptp.hAPP @t3278 @t4473)) @t2))) @t1419)))))))))) % 3.49/3.72 (assume @p3273 (forall (@list @t1419 @t171 @t2 @t92 @t1972 @t1261 @t10) (=> @t4297 (=> @t4323 (=> @t4299 (=> (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4477 @t6) @t1419)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4477 @t4472) @t1419)))))))) % 3.49/3.72 (assume @p3274 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2448)) % 3.49/3.72 (assume @p3275 (forall @t3645 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4479 @t3641) @t3640) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3626 (tptp.hAPP (tptp.hAPP @t4478 @t2412) @t3085)))))) % 3.49/3.72 (assume @p3276 (forall @t2442 (=> @t3355 (=> @t3350 (=> (=> (exists @t8 @t4481) @t4480) @t4460))))) % 3.49/3.72 (assume @p3277 (forall @t3245 (=> @t4048 (=> @t3355 (=> @t3350 (=> (forall @t8 (=> @t4481 (not @t4014))) (= (tptp.hAPP @t4011 @t3113) (tptp.hAPP (tptp.hAPP @t4024 (tptp.hAPP (tptp.hAPP @t3824 @t4012) @t4034)) (tptp.hAPP @t4011 @t4326))))))))) % 3.49/3.72 (assume @p3278 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t2360) @t4302) tptp.c_Int_Ointrel))) % 3.49/3.72 (assume @p3279 (forall (@list @t92 @t10 @t1419 @t610 @t349 @t1261) (=> @t3755 (=> @t3756 @t4482)))) % 3.49/3.72 (assume @p3280 (forall @t3758 (=> @t4482 (not (=> @t3755 @t3757))))) % 3.49/3.72 (assume @p3281 (forall @t3758 (=> @t4482 @t3755))) % 3.49/3.72 (assume @p3282 (forall @t3758 (=> @t4482 @t3756))) % 3.49/3.72 (assume @p3283 (forall @t1759 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4483 @t3652) tptp.c_Int_OInteg)))) % 3.49/3.72 (assume @p3284 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4068 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 3.49/3.72 (assume @p3285 (forall @t4436 (=> @t3995 (=> @t3355 (=> @t3350 (=> (forall @t8 (=> @t4481 (= @t5 @t4017))) @t4459)))))) % 3.49/3.72 (assume @p3286 (forall @t4487 (=> @t3995 (=> @t3720 (=> @t4159 (=> @t4486 (= (tptp.hAPP @t4011 @t4484) (tptp.hAPP (tptp.hAPP @t3824 @t4154) @t4153)))))))) % 3.49/3.72 (assume @p3287 (forall @t4436 (=> @t3044 (=> @t3355 (=> @t3350 (=> (forall @t8 (=> @t4481 (= @t5 @t3381))) @t4458)))))) % 3.49/3.72 (assume @p3288 (forall @t4487 (=> @t3044 (=> @t3720 (=> @t4159 (=> (forall @t8 (=> @t4485 @t4014)) (= (tptp.hAPP @t3042 @t4484) (tptp.hAPP (tptp.hAPP @t3396 @t4161) @t4162)))))))) % 3.49/3.72 (assume @p3289 (forall @t4289 (= @t4493 (and (forall @t8 (=> @t4456 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4141 (tptp.hAPP @t4492 @t4183)) @t4)))) @t4488)))) % 3.49/3.72 (assume @p3290 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3581 (and (=> @t3799 (= @t4495 @t349)) (=> @t3800 (= @t4495 @t4494)))))))) % 3.49/3.72 (assume @p3291 (forall @t2536 (tptp.c_Relation_Orefl__on @t10 @t1261 @t4138))) % 3.49/3.72 (assume @p3292 (forall @t351 (=> @t3156 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3492) @t349)))) % 3.49/3.72 (assume @p3293 (forall @t1752 (tptp.c_Relation_Orefl__on @t10 @t3465 @t3762))) % 3.49/3.72 (assume @p3294 (forall @t4497 (=> @t4493 (=> @t4496 (tptp.c_Relation_Orefl__on @t10 @t3113 @t4148))))) % 3.49/3.72 (assume @p3295 (forall @t4497 (=> @t4493 (=> @t4496 (tptp.c_Relation_Orefl__on @t10 @t4326 (tptp.hAPP @t4499 @t18)))))) % 3.49/3.72 (assume @p3296 (forall @t3416 (=> @t3156 (=> @t3355 (=> @t3596 (= (tptp.hAPP @t4500 @t4495) @t168)))))) % 3.49/3.72 (assume @p3297 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3581 (= @t4501 @t4495)))))) % 3.49/3.72 (assume @p3298 (forall @t4303 (=> @t4493 (=> @t3596 @t4503)))) % 3.49/3.72 (assume @p3299 (forall @t4301 (=> @t4493 (=> @t4300 @t3581)))) % 3.49/3.72 (assume @p3300 (forall @t4301 (=> @t4493 (=> @t4300 @t3656)))) % 3.49/3.72 (assume @p3301 (forall @t3453 (=> @t3156 (=> @t3355 @t4505)))) % 3.49/3.72 (assume @p3302 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3853 (=> @t2439 (= (tptp.hAPP (tptp.hAPP @t4329 @t4506) @t4495) @t4495))))))) % 3.49/3.72 (assume @p3303 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t4509))))))) % 3.49/3.72 (assume @p3304 (forall @t2536 (=> @t3156 (=> @t3355 (=> @t3479 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t4495) @t3840))))))) % 3.49/3.72 (assume @p3305 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3667 @t4505))))) % 3.49/3.72 (assume @p3306 (forall @t3453 (=> @t3156 (=> @t3355 (and (=> @t3799 (= @t4504 @t349)) (=> @t3800 (= @t4504 @t4494))))))) % 3.49/3.72 (assume @p3307 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t4509)))))))) % 3.49/3.72 (assume @p3308 (forall @t2442 (=> @t3156 (=> @t3355 (=> @t3350 (=> @t4449 (= (tptp.hAPP (tptp.hAPP @t4329 @t4508) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t4326)) @t4507))))))) % 3.49/3.72 (assume @p3309 (forall @t2536 (=> @t3156 (=> @t3355 (=> @t3479 (=> (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t4510) @t3858))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t4495) @t1261)))))))) % 3.49/3.72 (assume @p3310 (forall (@list @t316 @t1972 @t1261 @t10) (=> @t3355 (=> @t4297 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4511 @t4288)) (tptp.hBOOL (tptp.hAPP @t2809 (tptp.hAPP @t3064 @t4))))) (tptp.hBOOL (tptp.hAPP @t2809 @t3065))))))) % 3.49/3.72 (assume @p3311 (forall @t4274 (=> @t4512 (=> @t3355 (=> @t3350 @t4465))))) % 3.49/3.72 (assume @p3312 (forall (@list @t1 @t349 @t530 @t3389 @t2 @t92 @t10) (=> @t4512 (= (tptp.hAPP @t4267 @t4268) @t4268)))) % 3.49/3.72 (assume @p3313 (forall (@list @t349 @t3389 @t2 @t92 @t10) (=> @t4512 @t4513))) % 3.49/3.72 (assume @p3314 (forall @t4262 (=> @t4512 (=> @t3355 (=> @t3581 (= @t4275 @t3793)))))) % 3.49/3.72 (assume @p3315 (forall @t4262 (=> @t4512 (=> @t3355 @t4276)))) % 3.49/3.72 (assume @p3316 (forall @t4274 (=> @t4512 (=> @t3355 (=> @t2439 (= @t4273 @t3793)))))) % 3.49/3.72 (assume @p3317 (forall @t2536 (= (tptp.c_Equiv__Relations_Oequiv @t10 @t3318 @t1261) (tptp.c_Equiv__Relations_Oequivp @t10 (tptp.hAPP @t4101 @t1261))))) % 3.49/3.72 (assume @p3318 (forall @t4289 (=> @t3355 (=> @t4514 (= (tptp.hAPP @t4167 @t4288) @t3065))))) % 3.49/3.72 (assume @p3319 (forall @t4436 (=> @t3995 (=> @t3355 (=> @t3350 (=> @t4355 (= @t4521 @t4520))))))) % 3.49/3.72 (assume @p3320 (forall @t3491 (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t3465))) % 3.49/3.72 (assume @p3321 (forall @t2536 (=> @t784 (tptp.c_Fun_Oinj__on @t10 @t10 @t700 @t1261)))) % 3.49/3.72 (assume @p3322 (forall @t4523 (=> @t4522 (=> @t2541 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t2682) @t3014) @t3013)))))) % 3.49/3.72 (assume @p3323 (forall @t4527 (=> @t4526 (=> @t621 (=> @t3581 (=> @t3656 @t4525)))))) % 3.49/3.72 (assume @p3324 (forall @t4527 (=> @t4526 (=> @t3581 (=> @t3656 @t4528))))) % 3.49/3.72 (assume @p3325 (forall @t4527 (=> @t4526 (=> @t4524 (=> @t3581 (=> @t3656 @t620)))))) % 3.49/3.72 (assume @p3326 (forall @t3032 (=> @t4530 @t4529))) % 3.49/3.72 (assume @p3327 (forall @t4533 (=> @t4532 (=> (tptp.c_Fun_Oinj__on @t530 @t10 @t1 @t4229) (tptp.c_Fun_Oinj__on @t530 @t92 @t4531 @t4229))))) % 3.49/3.72 (assume @p3328 (forall (@list @t1261 @t2 @t1 @t530 @t92 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t92 @t4535 @t1261) (tptp.c_Fun_Oinj__on @t530 @t92 @t1 (tptp.hAPP @t4534 @t1261))))) % 3.49/3.72 (assume @p3329 (forall (@list @t1 @t530 @t1261 @t2 @t92 @t10) (=> @t4526 (=> (tptp.c_Fun_Oinj__on @t92 @t530 @t1 @t3014) (tptp.c_Fun_Oinj__on @t10 @t530 (tptp.hAPP @t4536 @t2) @t1261))))) % 3.49/3.72 (assume @p3330 (forall (@list @t4221 @t530 @t1261 @t2 @t92 @t10) (=> @t4526 (= (tptp.c_Fun_Oinj__on @t92 @t530 @t4221 @t3014) (tptp.c_Fun_Oinj__on @t10 @t530 (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t530 @t10 @t4221) @t2) @t1261))))) % 3.49/3.72 (assume @p3331 (forall @t2746 (=> @t4526 @t4537))) % 3.49/3.72 (assume @p3332 (forall (@list @t583 @t1 @t205 @t92 @t1261 @t10 @t530) (=> (tptp.class_Groups_Oab__semigroup__mult @t530) (=> @t3355 (=> (tptp.c_Fun_Oinj__on @t10 @t92 @t205 @t1261) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4540 @t1) @t583) (tptp.hAPP @t3417 @t1261)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4539 (tptp.hAPP @t4536 @t205)) @t583) @t1261))))))) % 3.49/3.72 (assume @p3333 (forall (@list @t583 @t1 @t2 @t92 @t10) (= (tptp.hAPP @t4542 @t3473) @t583))) % 3.49/3.72 (assume @p3334 (forall @t2536 (tptp.c_Fun_Oinj__on @t10 @t10 @t2159 @t1261))) % 3.49/3.72 (assume @p3335 (forall @t2746 (= @t4526 (forall @t8 (=> @t3039 (forall @t2975 (=> @t3405 (=> (= @t6 @t3402) @t3403)))))))) % 3.49/3.72 (assume @p3336 (forall @t3032 (=> @t4526 (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t2529)))) % 3.49/3.72 (assume @p3337 (forall @t4523 (=> @t4522 (=> @t2441 @t4526)))) % 3.49/3.72 (assume @p3338 (forall @t2746 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t3010)) (=> @t4543 @t3794)))) % 3.49/3.72 (assume @p3339 (forall (@list @t1261 @t2 @t4221 @t530 @t92 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t92 @t10 @t4221) @t2) @t1261) (tptp.c_Fun_Oinj__on @t10 @t530 @t2 @t1261)))) % 3.49/3.72 (assume @p3340 (forall @t1752 (tptp.c_Equiv__Relations_Oequivp @t10 tptp.c_fequal))) % 3.49/3.72 (assume @p3341 (forall @t4546 (= @t4545 (forall @t2447 (= (tptp.hBOOL (tptp.hAPP @t4544 @t267)) (= @t4544 (tptp.hAPP @t2412 @t267))))))) % 3.49/3.72 (assume @p3342 (forall (@list @t349 @t2412 @t10) (=> @t4545 (tptp.hBOOL (tptp.hAPP @t3917 @t349))))) % 3.49/3.72 (assume @p3343 (forall (@list @t610 @t349 @t2412 @t10) (=> @t4545 (=> @t4548 (tptp.hBOOL (tptp.hAPP @t4547 @t349)))))) % 3.49/3.72 (assume @p3344 (forall (@list @t583 @t610 @t349 @t2412 @t10) (=> @t4545 (=> @t4548 (=> (tptp.hBOOL (tptp.hAPP @t4547 @t583)) (tptp.hBOOL (tptp.hAPP @t3917 @t583))))))) % 3.49/3.72 (assume @p3345 (forall @t3032 (=> @t4532 @t4529))) % 3.49/3.72 (assume @p3346 (forall @t3959 (=> @t4532 (=> @t4524 @t620)))) % 3.49/3.72 (assume @p3347 (forall @t3959 (=> @t4532 @t4528))) % 3.49/3.72 (assume @p3348 (forall (@list @t530 @t2 @t92 @t10) (=> @t4532 (tptp.c_Fun_Oinj__on @t10 @t4549 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t4549 @t10) (tptp.c_COMBK @t92 @t530)) @t2) @t3318)))) % 3.49/3.72 (assume @p3349 (forall @t3032 (=> @t4526 (=> @t4522 (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t4326))))) % 3.49/3.72 (assume @p3350 (forall @t4036 (=> @t4532 (= (tptp.hBOOL (tptp.hAPP @t4550 @t3014)) @t3596)))) % 3.49/3.72 (assume @p3351 (forall (@list @t21 @t2 @t92 @t10) (=> @t4532 (= (tptp.hBOOL (tptp.hAPP @t3617 (tptp.hAPP @t3012 @t3318))) (exists @t8 (and (= @t21 @t6) (forall @t270 (=> (= @t21 @t3003) @t4551)))))))) % 3.49/3.72 (assume @p3352 (forall (@list @t1261 @t3389 @t1 @t583 @t2 @t92 @t10) (=> @t3795 (=> @t3794 (= @t3793 @t4552))))) % 3.49/3.72 (assume @p3353 (forall (@list @t4232 @t92 @t10 @t1261) (=> @t3479 (= (exists @t4177 (and @t4555 (tptp.hBOOL (tptp.hAPP @t4554 @t4232)))) (exists (@list @t4553) (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 @t4553) @t4232) @t1261)))))) % 3.49/3.72 (assume @p3354 (forall @t3078 (=> @t3355 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4557) @t1261)) (=> @t4558 (= @t4557 @t1261)))))) % 3.49/3.72 (assume @p3355 (forall @t3078 (=> @t3355 (=> (tptp.hBOOL (tptp.hAPP @t2440 @t4557)) @t4558)))) % 3.49/3.72 (assume @p3356 (forall @t2903 (=> @t3428 (=> @t4560 @t4559)))) % 3.49/3.72 (assume @p3357 (forall @t2903 (=> @t3428 (=> @t4559 @t4560)))) % 3.49/3.72 (assume @p3358 (forall @t3032 (=> @t4532 (= @t3016 @t2441)))) % 3.49/3.72 (assume @p3359 (forall @t4563 (=> @t4562 (=> @t2531 (=> @t2525 @t4561))))) % 3.49/3.72 (assume @p3360 (forall @t3032 (=> @t4532 @t4561))) % 3.49/3.72 (assume @p3361 (forall @t3455 (=> @t3355 (= @t4526 @t4537)))) % 3.49/3.72 (assume @p3362 (forall @t3455 (=> @t3355 (=> @t4537 @t4526)))) % 3.49/3.72 (assume @p3363 (forall @t4563 (=> @t4562 (=> @t2531 (=> @t2525 @t4565))))) % 3.49/3.72 (assume @p3364 (forall @t3032 (=> @t4532 @t4565))) % 3.49/3.72 (assume @p3365 (forall @t4566 (=> @t4204 (=> @t4522 (= (tptp.hAPP @t4279 @t3013) (tptp.hAPP @t4278 @t1419)))))) % 3.49/3.72 (assume @p3366 (forall @t2746 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP @t3064 @t3010)) @t3069)) (not @t4543)))) % 3.49/3.72 (assume @p3367 (forall (@list @t349 @t610 @t1261 @t2 @t92 @t10) (=> @t4526 (=> (not @t4567) (tptp.c_Fun_Oinj__on @t10 @t92 @t3947 @t1261))))) % 3.49/3.72 (assume @p3368 (forall @t4566 (=> @t4571 (=> @t4522 (= (tptp.hAPP @t4570 @t3013) (tptp.hAPP (tptp.hAPP @t4568 @t4277) @t1419)))))) % 3.49/3.72 (assume @p3369 (forall @t4574 (=> @t4571 (=> @t4526 (=> @t4573 (=> (= @t1 @t4277) @t4572)))))) % 3.49/3.72 (assume @p3370 (forall @t1752 (tptp.c_Fun_Oinj__on @t10 @t2309 @t3519 @t3318))) % 3.49/3.72 (assume @p3371 (forall @t4578 (=> @t3044 (=> @t3355 (=> @t4577 (= (tptp.hAPP @t3041 @t4576) (tptp.hAPP (tptp.hAPP @t3040 @t4575) @t1261))))))) % 3.49/3.72 (assume @p3372 (forall (@list @t1 @t1419 @t1261 @t2 @t92 @t10) (=> @t4526 (=> @t4579 (=> (tptp.c_Fun_Oinj__on @t92 @t10 @t1 @t1419) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t3449 @t1419)) @t1261)) (=> @t3355 (=> @t3442 (= @t3065 @t3907))))))))) % 3.49/3.72 (assume @p3373 (forall @t4578 (=> @t3995 (=> @t3355 (=> @t4577 (= (tptp.hAPP @t4018 @t4576) (tptp.hAPP (tptp.hAPP @t3993 @t4575) @t1261))))))) % 3.49/3.72 (assume @p3374 (forall @t3401 (=> @t3995 (=> @t3355 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4515 @t4023) @t4017) @t1261) (tptp.hAPP @t4519 (tptp.hAPP (tptp.hAPP @t4580 @t4017) @t1261))))))) % 3.49/3.72 (assume @p3375 (forall @t2746 (=> @t4532 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 (tptp.hAPP @t3012 @t2533)) (tptp.hAPP @t3332 @t3014)))))) % 3.49/3.72 (assume @p3376 (forall (@list @t583 @t1 @t168 @t1261 @t10 @t92) (=> @t4584 (=> @t3355 (=> @t3628 (= (tptp.hAPP @t4581 @t3414) (tptp.hAPP (tptp.hAPP @t3824 @t4583) @t4582))))))) % 3.49/3.72 (assume @p3377 (forall @t3385 (=> @t3044 (and @t4585 @t3384)))) % 3.49/3.72 (assume @p3378 (forall @t3385 (=> @t3044 @t4585))) % 3.49/3.72 (assume @p3379 (forall @t3385 (=> @t3995 @t4586))) % 3.49/3.72 (assume @p3380 (forall @t3385 (=> @t3995 (and @t4586 @t4020)))) % 3.49/3.72 (assume @p3381 (forall @t4036 (= (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t3414) (and @t4526 (not (tptp.hBOOL (tptp.hAPP @t4550 (tptp.hAPP @t3012 @t3494)))))))) % 3.49/3.72 (assume @p3382 (forall @t3032 (= @t4530 (and @t4526 @t4522 (= (tptp.hAPP (tptp.hAPP @t4411 @t4564) (tptp.hAPP @t3012 @t3158)) @t3473))))) % 3.49/3.72 (assume @p3383 (forall @t3032 (=> @t4526 (=> @t4579 (=> @t3442 @t4587))))) % 3.49/3.72 (assume @p3384 (forall @t3441 (=> @t3355 (=> @t3442 (= (exists @t4177 (and @t4555 (tptp.hBOOL (tptp.hAPP @t4554 @t1419)))) @t4587))))) % 3.49/3.72 (assume @p3385 (forall (@list @t168 @t1261 @t1972 @t10) (=> @t4514 (=> @t3596 (= (tptp.hAPP (tptp.hAPP @t4287 @t3494) @t1972) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t2729) @t4288) (tptp.hAPP (tptp.hAPP @t4287 @t3467) @t1972))))))) % 3.49/3.72 (assume @p3386 (forall @t4436 (=> @t3995 (=> @t3355 (=> @t3350 (= @t4520 (tptp.hAPP (tptp.hAPP @t3824 @t4521) (tptp.hAPP @t4517 @t4326)))))))) % 3.49/3.72 (assume @p3387 (forall @t3455 (=> @t3355 (= @t3014 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t2682 @t10 @t3123) (tptp.hAPP (tptp.hAPP @t2718 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t2716 @t10) @t3378) @t2)) @t3473)) @t3473) @t1261))))) % 3.49/3.72 (assume @p3388 (forall @t2536 @t4588)) % 3.49/3.72 (assume @p3389 (forall @t2536 (and @t4588 @t3447))) % 3.49/3.72 (assume @p3390 (forall @t4594 (=> @t4593 (and @t4592 @t4591)))) % 3.49/3.72 (assume @p3391 (forall (@list @t1 @t205 @t1261 @t3389 @t583 @t2 @t92 @t10) (=> @t4595 (=> @t3794 (=> (tptp.c_Fun_Oinj__on @t92 @t92 @t205 @t1261) (= (tptp.hAPP @t4589 (tptp.hAPP (tptp.c_Set_Oimage @t92 @t92 @t205) @t1261)) (tptp.hAPP (tptp.hAPP @t3389 (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t10 @t92 @t1) @t205)) @t1261))))))) % 3.49/3.72 (assume @p3392 (forall @t4487 (=> @t3995 (=> @t3720 (=> @t4159 (=> @t4486 (= (tptp.hAPP @t4596 @t4484) (tptp.hAPP (tptp.hAPP @t3824 @t4597) (tptp.hAPP @t4596 @t4152))))))))) % 3.49/3.72 (assume @p3393 (forall @t2835 (tptp.c_Fun_Oinj__on @t10 @t3911 @t3910 @t1261))) % 3.49/3.72 (assume @p3394 (forall @t3370 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t3367))) % 3.49/3.72 (assume @p3395 (forall @t2536 (tptp.c_Fun_Oinj__on @t10 @t2655 @t354 @t1261))) % 3.49/3.72 (assume @p3396 (forall @t2835 (tptp.c_Fun_Oinj__on @t10 @t2622 @t398 @t1261))) % 3.49/3.72 (assume @p3397 (forall (@list @t3367 @t316) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2912 @t3367))) % 3.49/3.72 (assume @p3398 (forall @t1752 (=> @t573 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t10 @t568 @t3305)))) % 3.49/3.72 (assume @p3399 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t576 @t3305)) % 3.49/3.72 (assume @p3400 (forall @t2835 (tptp.c_Fun_Oinj__on @t2388 @t2625 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t2625) @t4598) @t1261))) % 3.49/3.72 (assume @p3401 (forall (@list @t205 @t1 @t1261 @t3389 @t583 @t2 @t92 @t10) (=> @t4595 (=> @t3794 (= (tptp.hAPP (tptp.hAPP @t3389 (tptp.hAPP (tptp.hAPP @t2839 @t4599) @t205)) @t1261) (tptp.hAPP (tptp.hAPP @t2 @t4590) (tptp.hAPP (tptp.hAPP @t3389 @t205) @t1261))))))) % 3.49/3.72 (assume @p3402 (forall @t4594 (=> @t4595 @t4592))) % 3.49/3.72 (assume @p3403 (forall @t4594 (=> @t4593 @t4591))) % 3.49/3.72 (assume @p3404 (forall (@list @t349 @t1261 @t1 @t530 @t2 @t92 @t10) (=> (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t4600) (=> (tptp.c_Fun_Oinj__on @t530 @t10 @t1 @t1261) (=> (tptp.hBOOL (tptp.hAPP @t3607 (tptp.hAPP @t3012 @t4600))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t530 @t92 @t1261 @t4531) @t349) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t530 @t92 (tptp.c_Fun_Othe__inv__into @t530 @t10 @t1261 @t1)) (tptp.c_Fun_Othe__inv__into @t10 @t92 @t4600 @t2)) @t349))))))) % 3.49/3.72 (assume @p3405 (forall (@list @t1419 @t349 @t1261 @t2 @t92 @t10) (=> @t4526 (=> (tptp.hBOOL (tptp.hAPP @t3607 @t3014)) (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t4602) @t1419))))))) % 3.49/3.72 (assume @p3406 (forall @t4607 (=> @t4532 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4606) (tptp.hAPP (tptp.hAPP @t3360 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t4604 @t168))) @t3465)))))) % 3.49/3.72 (assume @p3407 (forall (@list @t92 @t1419 @t10 @t21 @t168 @t2) (=> @t4610 (=> @t3912 (tptp.hBOOL (tptp.hAPP @t4468 @t4609)))))) % 3.49/3.72 (assume @p3408 (forall @t3032 (= (tptp.hAPP @t4605 @t3030) (tptp.hAPP (tptp.hAPP @t2522 @t4612) @t4611)))) % 3.49/3.72 (assume @p3409 (forall @t2746 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4614) @t1261)))) % 3.49/3.72 (assume @p3410 (forall @t3336 (=> @t3335 (= @t4614 @t1261)))) % 3.49/3.72 (assume @p3411 (forall (@list @t1419 @t2 @t92 @t168 @t10) (= (tptp.hBOOL (tptp.hAPP @t3595 @t4611)) (tptp.hBOOL (tptp.hAPP @t4550 @t1419))))) % 3.49/3.72 (assume @p3412 (forall (@list @t1261 @t2 @t92 @t168 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3595 @t4612)) (tptp.hBOOL (tptp.hAPP @t4550 @t1261))))) % 3.49/3.72 (assume @p3413 (forall (@list @t92 @t1261 @t168 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t2354) @t1261)) (tptp.hBOOL (tptp.hAPP @t4468 @t4613))))) % 3.49/3.72 (assume @p3414 (forall @t3032 (= (tptp.hAPP @t4605 @t3125) (tptp.hAPP (tptp.hAPP @t3096 @t4612) @t4611)))) % 3.49/3.72 (assume @p3415 (forall @t3491 (= (tptp.hAPP @t4605 @t3473) @t3465))) % 3.49/3.72 (assume @p3416 (forall @t2746 (= (tptp.hAPP @t4605 @t3333) (tptp.hAPP @t2532 @t4612)))) % 3.49/3.72 (assume @p3417 (forall @t4615 (= (tptp.hBOOL (tptp.hAPP @t4612 @t349)) (tptp.hBOOL (tptp.hAPP @t1261 @t566))))) % 3.49/3.72 (assume @p3418 (forall @t3344 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t2159) @t169) @t169))) % 3.49/3.72 (assume @p3419 (forall @t3017 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t4613) @t4609))))) % 3.49/3.72 (assume @p3420 (forall @t4617 (= (tptp.hAPP @t4605 @t3276) (tptp.hAPP @t3275 @t4616)))) % 3.49/3.72 (assume @p3421 (forall (@list @t349 @t2 @t1 @t530 @t92 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t92 @t4535) @t349) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t530 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t530 @t92 @t1) @t349))))) % 3.49/3.72 (assume @p3422 (forall @t3491 (= (tptp.hAPP @t4605 @t3322) @t3318))) % 3.49/3.72 (assume @p3423 (forall @t3032 (= (tptp.hAPP @t4605 @t4413) (tptp.hAPP (tptp.hAPP @t4324 @t4612) @t4611)))) % 3.49/3.72 (assume @p3424 (forall (@list @t21 @t2 @t92 @t168 @t10) (= (tptp.hBOOL (tptp.hAPP @t3595 (tptp.hAPP @t4605 (tptp.hAPP @t4618 @t3473)))) @t4610))) % 3.49/3.72 (assume @p3425 (forall (@list @t1419 @t168 @t2 @t92 @t10) (= (tptp.hAPP @t4605 @t3380) (tptp.hAPP (tptp.hAPP @t3096 @t4606) @t4611)))) % 3.49/3.72 (assume @p3426 (forall (@list @t3389 @t205 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t92 @t205) @t3389))) (=> (= (tptp.hAPP @t3417 @t3318) @t3322) (tptp.hBOOL (tptp.hAPP @t3418 @t3389)))))) % 3.49/3.72 (assume @p3427 (forall (@list @t1261 @t1419 @t2 @t10 @t92) (=> @t3335 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t4609) @t1261)) @t3011)))) % 3.49/3.72 (assume @p3428 (forall @t3336 (= @t4614 (tptp.hAPP @t4325 @t3334)))) % 3.49/3.72 (assume @p3429 (forall @t3419 (=> @t3391 (=> (tptp.c_Fun_Oinj__on @t92 @t10 @t205 @t3322) (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP (tptp.c_Set_Ovimage @t92 @t10 @t205) @t3389))))))) % 3.49/3.72 (assume @p3430 (forall @t2746 (=> @t4532 (= (tptp.hAPP @t4605 @t3014) @t1261)))) % 3.49/3.72 (assume @p3431 (forall (@list @t92 @t1261 @t20 @t10) (and (=> @t3585 (= @t4619 @t3322)) (=> @t3586 (= @t4619 @t3473))))) % 3.49/3.72 (assume @p3432 (forall @t4620 (= @t4611 (tptp.hAPP @t3303 (tptp.hAPP (tptp.hAPP @t4245 @t4605) @t4244))))) % 3.49/3.72 (assume @p3433 (forall @t4615 (=> @t4526 (=> @t3581 (= (tptp.hAPP @t4601 @t566) @t349))))) % 3.49/3.72 (assume @p3434 (forall @t4527 (=> @t4526 (=> @t3951 (=> @t3581 (= @t4621 @t349)))))) % 3.49/3.72 (assume @p3435 (forall @t3949 (=> @t4532 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t10 @t92 @t3318 @t2) @t566) @t349)))) % 3.49/3.72 (assume @p3436 (forall @t2746 (=> @t4526 (tptp.c_Fun_Oinj__on @t92 @t10 @t4601 @t3014)))) % 3.49/3.72 (assume @p3437 (forall @t2746 (=> @t4526 (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 @t4601) @t3014) @t1261)))) % 3.49/3.72 (assume @p3438 (forall @t4523 (=> @t4532 (=> @t3444 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4611) @t1261)))))) % 3.49/3.72 (assume @p3439 (forall (@list @t349 @t2 @t1261 @t92 @t10) (= @t4602 (tptp.c_HOL_OThe @t10 (tptp.hAPP @t4623 (tptp.hAPP @t4604 @t349)))))) % 3.49/3.72 (assume @p3440 (forall (@list @t1419 @t92 @t809 @t1261 @t20 @t10) (and (=> @t3585 (and (=> @t4627 (= @t4626 @t3322)) (=> @t4628 (= @t4626 @t1419)))) (=> @t3586 (and (=> @t4627 (= @t4626 (tptp.hAPP @t3332 @t1419))) (=> @t4628 (= @t4626 @t3473))))))) % 3.49/3.72 (assume @p3441 (forall (@list @t610 @t1261 @t2 @t92 @t10) (=> @t4526 (=> @t4567 (= (tptp.hAPP @t2 @t4621) @t610))))) % 3.49/3.72 (assume @p3442 (forall @t4117 (=> @t3156 (=> (forall @t2447 (= (tptp.hAPP @t205 @t4510) (tptp.hAPP (tptp.hAPP @t4329 @t4115) @t4114))) (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3367)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t4112)))))))) % 3.49/3.72 (assume @p3443 (forall @t4242 (=> @t4241 (not (forall @t8 (=> @t4239 (not @t3264))))))) % 3.49/3.72 (assume @p3444 (forall @t4574 (=> @t4571 (=> @t4526 (=> @t4573 (=> (forall @t8 (=> @t3039 (= @t5 (tptp.hAPP @t4277 @t4)))) @t4572)))))) % 3.49/3.72 (assume @p3445 (forall @t3092 (=> @t3037 (=> @t2437 (=> @t3080 (=> @t3091 (= @t4021 (tptp.hAPP (tptp.hAPP @t4009 @t1) @t1419)))))))) % 3.49/3.72 (assume @p3446 (forall @t3949 (= (= @t4629 @t3492) (exists @t4227 (= @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t3973) @t349) (tptp.hAPP @t387 @t4226))))))) % 3.49/3.72 (assume @p3447 (forall (@list @t168 @t349 @t1261 @t21 @t10) (=> @t4632 (=> (tptp.hBOOL (tptp.hAPP @t4631 @t349)) (=> @t3596 (=> @t4630 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t704 @t168 (tptp.hAPP @t3364 @t3494)) @t349)))))))) % 3.49/3.72 (assume @p3448 (forall (@list @t349 @t1261 @t583 @t2 @t92 @t10) (=> @t4634 @t3355))) % 3.49/3.72 (assume @p3449 (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)))) % 3.49/3.72 (assume @p3450 (forall @t3818 (tptp.hBOOL (tptp.hAPP @t4635 @t583)))) % 3.49/3.72 (assume @p3451 (forall (@list @t349 @t583 @t2 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4635 @t349)) @t4636))) % 3.49/3.72 (assume @p3452 (forall (@list @t314 @t92 @t168 @t10) (= (tptp.hBOOL (tptp.hAPP @t3595 @t4637)) (not (= @t3982 @t391))))) % 3.49/3.72 (assume @p3453 (forall @t4042 (=> @t4041 (tptp.hBOOL (tptp.hAPP @t4468 (tptp.c_Map_Odom @t92 @t10 @t314)))))) % 3.49/3.72 (assume @p3454 (forall (@list @t92 @t610 @t10 @t349 @t2) (=> (= @t566 @t3975) (= @t4639 @t4638)))) % 3.49/3.72 (assume @p3455 (forall (@list @t1261 @t314 @t92 @t10) (= (tptp.c_Map_Odom @t10 @t92 @t3996) (tptp.hAPP (tptp.hAPP @t4324 @t4637) @t1261)))) % 3.49/3.72 (assume @p3456 (forall @t3812 (=> @t3667 (=> @t4641 (tptp.hBOOL (tptp.hAPP @t4640 @t3811)))))) % 3.49/3.72 (assume @p3457 (forall @t3429 (= (tptp.c_Map_Odom @t10 @t92 @t3973) @t3465))) % 3.49/3.72 (assume @p3458 (forall @t3491 (= (= @t4629 @t3465) (= @t2 @t3973)))) % 3.49/3.72 (assume @p3459 (forall @t3491 (= (tptp.c_Map_Odom @t10 @t92 @t4642) @t3318))) % 3.49/3.72 (assume @p3460 (forall (@list @t1261 @t92 @t10 @t349 @t2) (=> (= @t566 @t356) (= (tptp.hAPP @t4643 @t3805) (tptp.hAPP @t4643 @t1261))))) % 3.49/3.72 (assume @p3461 (forall (@list @t583 @t610 @t1261 @t21 @t10) (=> @t4632 (=> (tptp.hBOOL (tptp.hAPP @t4631 @t610)) (=> @t4630 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t704 @t583 @t3597) (tptp.hAPP @t2228 @t610)))))))) % 3.49/3.72 (assume @p3462 (forall @t4644 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t92 @t2 @t583 @t3537) @t610)) (=> @t3581 (tptp.hBOOL (tptp.hAPP @t4633 @t3811)))))) % 3.49/3.72 (assume @p3463 (forall (@list @t349 @t2 @t92 @t10 @t610) (and (=> @t4646 (= @t4645 (tptp.hAPP @t4643 @t3790))) (=> (not @t4646) (= @t4645 @t4639))))) % 3.49/3.72 (assume @p3464 (forall (@list @t349 @t1261 @t168 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t10 @t2 @t168 @t1261) @t349)) (=> @t3628 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t3414) @t349)))))) % 3.49/3.72 (assume @p3465 (forall (@list @t1261 @t314 @t92 @t610 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3655 (tptp.c_Map_Oran @t92 @t10 (tptp.c_Map_Orestrict__map @t92 @t10 @t314 @t1261)))) (exists @t8 (and @t3264 (= (tptp.hAPP @t314 @t4) @t3975)))))) % 3.49/3.72 (assume @p3466 (forall @t4650 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t10 @t4649) @t349)) @t4648))) % 3.49/3.72 (assume @p3467 (forall (@list @t349 @t2 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t3465) @t349))))) % 3.49/3.72 (assume @p3468 (forall (@list @t349 @t1261 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4651 @t349)) @t3479))) % 3.49/3.72 (assume @p3469 (forall @t2313 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t2307) @t2308)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.c_Wellfounded_Oacc @t10 @t2308)) (tptp.c_Wellfounded_Oacc @t10 @t2307)))))) % 3.49/3.72 (assume @p3470 (forall (@list @t21 @t168 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t3467) @t21)) @t703))) % 3.49/3.72 (assume @p3471 (forall (@list @t168 @t1972 @t21 @t10) (=> @t4653 (=> @t4293 @t4652)))) % 3.49/3.72 (assume @p3472 (forall @t4655 (= @t4652 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3766 @t168)) @t1972)) @t4654))))) % 3.49/3.72 (assume @p3473 (forall (@list @t29 @t33 @t2412 @t10) (= (tptp.c_Wellfounded_Omax__extp @t10 @t2412 @t33 @t29) (and @t4660 @t4659 @t4658 (forall @t8 (=> @t4657 (exists @t2975 (and @t4656 (tptp.hBOOL (tptp.hAPP @t4544 @t2967)))))))))) % 3.49/3.72 (assume @p3474 (forall (@list @t2412 @t169 @t171 @t10) (=> @t4663 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t169)) (=> (not (= @t169 @t3465)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 @t171)) (exists @t2975 (and (tptp.hBOOL (tptp.hAPP @t3261 @t169)) @t4662)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t171) @t169)) @t4095)))))))) % 3.49/3.72 (assume @p3475 (forall (@list @t51 @t3743 @t20 @t55 @t16 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP @t60 @t3743)) @t3549)) (=> (forall @t57 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3743 @t50) @t53)) (tptp.hBOOL (tptp.hAPP @t52 @t53)))) @t3556)))) % 3.49/3.72 (assume @p3476 (forall (@list @t55 @t51 @t20 @t3744 @t16 @t10) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t10 @t16 (tptp.hAPP (tptp.hAPP @t3550 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t3744) @t20) @t51)) @t3549)) (=> (forall @t57 (=> @t56 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3744 @t50) @t53)))) @t3556)))) % 3.49/3.72 (assume @p3477 (forall (@list @t32 @t29 @t33 @t2 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t4666) @t32)) (exists @t4189 (and (= @t4666 @t4665) (tptp.hBOOL (tptp.hAPP @t4664 @t32)) (not @t4188)))))) % 3.49/3.72 (assume @p3478 (forall (@list @t349 @t171 @t168 @t2 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t10 @t2 @t4667) @t349)) (not (forall @t4189 (=> (= @t4667 @t4665) (=> (tptp.hBOOL (tptp.hAPP @t4664 @t349)) @t4188))))))) % 3.49/3.72 (assume @p3479 (forall (@list @t1261 @t1 @t2 @t92 @t10 @t530) (= (tptp.hAPP (tptp.c_Set_Oimage @t530 @t2388 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t530 @t92 @t2388) @t4670) @t1)) @t1261) (tptp.hAPP (tptp.hAPP @t4669 (tptp.hAPP @t3324 @t1261)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2413 @t2682 @t10) @t3025) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2413 @t2413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2413 @t4668 @t10) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2413)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t2413 @t10) (tptp.c_Set_Ovimage @t530 @t10 @t2)) @t3519))) @t1261)))))) % 3.49/3.72 (assume @p3480 (forall @t2442 (=> @t4632 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (=> @t4355 @t4673)))))))) % 3.49/3.72 (assume @p3481 (forall @t2442 (=> @t622 (=> @t3479 (=> @t2441 (=> @t3350 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t4674 @t1419)) @t4675)))))))) % 3.49/3.72 (assume @p3482 (forall @t3619 (=> @t3596 (=> @t3618 @t4678)))) % 3.49/3.72 (assume @p3483 (forall @t4683 (= (tptp.hAPP (tptp.hAPP @t4669 (tptp.hAPP (tptp.hAPP @t2522 @t3286) @t4391)) @t2521) (tptp.hAPP (tptp.hAPP @t4682 @t4681) @t4679)))) % 3.49/3.72 (assume @p3484 (forall @t4688 (= (tptp.hAPP (tptp.hAPP @t4669 @t2529) @t4684) (tptp.hAPP (tptp.hAPP @t4682 @t4687) @t4686)))) % 3.49/3.72 (assume @p3485 (forall @t3290 (= (tptp.hAPP @t4680 (tptp.hAPP (tptp.hAPP @t4692 @t4691) @t1419)) (tptp.hAPP (tptp.hAPP @t4682 @t4690) @t4689)))) % 3.49/3.72 (assume @p3486 (forall @t4699 (=> @t4698 (= (= @t4697 @t4695) @t2437)))) % 3.49/3.72 (assume @p3487 (forall (@list @t1419 @t92 @t10) (= (tptp.hAPP (tptp.hAPP @t4669 @t3465) @t1419) @t3625))) % 3.49/3.72 (assume @p3488 (forall @t3488 (= (tptp.hAPP @t4702 @t4701) (tptp.hAPP (tptp.hAPP @t770 @t3065) @t3907)))) % 3.49/3.72 (assume @p3489 (forall @t2833 (=> @t2818 (= @t2832 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2393 @t10) @t2385) @t4705))))) % 3.49/3.72 (assume @p3490 (forall @t3488 (= (= @t4701 @t3625) (or @t3471 @t3913)))) % 3.49/3.72 (assume @p3491 (forall @t2835 (= (tptp.hAPP @t4676 (tptp.hAPP @t3483 @t3473)) @t3625))) % 3.49/3.72 (assume @p3492 (forall @t2835 (= (tptp.hAPP @t4707 (tptp.hAPP @t4676 @t4706)) (tptp.hAPP (tptp.hAPP @t4669 @t2533) @t4706)))) % 3.49/3.72 (assume @p3493 (forall @t2835 (= (tptp.hAPP @t4707 (tptp.hAPP @t4708 @t4709)) (tptp.hAPP @t4708 (tptp.hAPP @t3483 @t3333))))) % 3.49/3.72 (assume @p3494 (forall @t2833 (=> @t3036 (= (tptp.hAPP (tptp.hAPP @t4000 (tptp.hAPP (tptp.hAPP @t2831 (tptp.hAPP (tptp.hAPP @t2829 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t530 @t10)) @t2)) @t1419)) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2393 @t10) @t2385) @t4705))))) % 3.49/3.72 (assume @p3495 (forall @t4683 (= (tptp.hAPP (tptp.hAPP @t4669 (tptp.hAPP (tptp.hAPP @t3096 @t3286) @t4391)) @t2521) (tptp.hAPP (tptp.hAPP @t3643 @t4681) @t4679)))) % 3.49/3.72 (assume @p3496 (forall @t4688 (= (tptp.hAPP (tptp.hAPP @t4669 @t3113) @t4684) (tptp.hAPP (tptp.hAPP @t3643 @t4687) @t4686)))) % 3.49/3.72 (assume @p3497 (forall @t3290 (= (tptp.hAPP @t4680 (tptp.hAPP (tptp.hAPP @t4692 @t3523) @t1419)) (tptp.hAPP (tptp.hAPP @t3643 @t4690) @t4689)))) % 3.49/3.72 (assume @p3498 (forall @t3482 (= (tptp.hAPP (tptp.c_Set_Oimage @t2625 @t2388 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t10 @t2388) @t4711)) @t4710) (tptp.hAPP @t4685 @t4709)))) % 3.49/3.72 (assume @p3499 (forall (@list @t168 @t2 @t10 @t1) (=> (= @t1 @t4712) (= (tptp.hAPP @t1 @t3467) @t168)))) % 3.49/3.72 (assume @p3500 (forall (@list @t168 @t2 @t10) (= (tptp.hAPP @t4712 @t3467) @t168))) % 3.49/3.72 (assume @p3501 (forall @t3441 (=> @t3355 (=> @t3442 @t4713)))) % 3.49/3.72 (assume @p3502 (forall @t4289 (=> @t4297 @t4717))) % 3.49/3.72 (assume @p3503 (forall @t3290 (= (tptp.hAPP @t4680 (tptp.hAPP (tptp.hAPP @t4692 @t4718) @t1419)) (tptp.hAPP (tptp.hAPP @t4478 @t4690) @t4689)))) % 3.49/3.72 (assume @p3504 (forall @t4688 (= (tptp.hAPP (tptp.hAPP @t4669 @t4326) @t4684) (tptp.hAPP (tptp.hAPP @t4478 @t4687) @t4686)))) % 3.49/3.72 (assume @p3505 (forall @t4683 (= (tptp.hAPP (tptp.hAPP @t4669 (tptp.hAPP (tptp.hAPP @t4324 @t3286) @t4391)) @t2521) (tptp.hAPP (tptp.hAPP @t4478 @t4681) @t4679)))) % 3.49/3.72 (assume @p3506 (forall @t2536 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t4138) @t4716)))) % 3.49/3.72 (assume @p3507 (forall @t3429 (= (tptp.hAPP @t4708 @t4706) @t3425))) % 3.49/3.72 (assume @p3508 (forall @t4719 (=> @t4678 (not (=> @t3596 (not @t3618)))))) % 3.49/3.72 (assume @p3509 (forall @t4719 (=> @t4678 @t3618))) % 3.49/3.72 (assume @p3510 (forall @t4719 (=> @t4678 @t3596))) % 3.49/3.72 (assume @p3511 (forall @t4719 (= @t4678 (and @t3596 @t3618)))) % 3.49/3.72 (assume @p3512 (forall @t3943 (=> @t3801 @t4721))) % 3.49/3.72 (assume @p3513 (forall (@list @t1261 @t349 @t92 @t10) (= (tptp.hAPP @t4702 (tptp.hAPP (tptp.hAPP @t4669 @t3492) @t4709)) @t3069))) % 3.49/3.72 (assume @p3514 (forall @t4699 (=> @t4698 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4723 @t4697) @t4695)) (tptp.hBOOL (tptp.hAPP @t4722 @t1419)))))) % 3.49/3.72 (assume @p3515 (forall (@list @t2521 @t1419 @t1261 @t1972 @t92 @t10) (=> @t4725 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 (tptp.hAPP @t4230 @t2521)) @t1419))))) % 3.49/3.72 (assume @p3516 (forall @t3488 (=> @t4713 (=> (not @t3913) @t3355)))) % 3.49/3.72 (assume @p3517 (forall @t3488 (=> @t4713 (=> @t3479 @t3442)))) % 3.49/3.72 (assume @p3518 (forall (@list @t1261 @t92 @t10 @t1419) (and (=> @t3470 (= @t4727 @t3473)) (=> @t3853 (= @t4727 @t1261))))) % 3.49/3.72 (assume @p3519 (forall (@list @t1419 @t92 @t10 @t1261) (and (=> @t3471 (= @t4729 @t3473)) (=> @t3479 (= @t4729 @t1419))))) % 3.49/3.72 (assume @p3520 (forall @t2921 (= @t4720 (tptp.c_HOL_OThe @t10 @t4651)))) % 3.49/3.72 (assume @p3521 (forall @t2536 (=> @t3156 (=> @t3355 (= @t3840 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t10 @t3155) @t1261)))))) % 3.49/3.72 (assume @p3522 (forall @t2536 (=> @t3156 (=> @t3355 (= @t4495 @t4730))))) % 3.49/3.72 (assume @p3523 (forall @t2536 (=> @t622 (=> @t3355 (= @t3864 @t4675))))) % 3.49/3.72 (assume @p3524 (forall @t2536 (=> @t622 (=> @t3355 (= @t3861 @t4731))))) % 3.49/3.72 (assume @p3525 (forall @t2536 (=> @t622 (=> @t3355 (= @t3933 @t4675))))) % 3.49/3.72 (assume @p3526 (forall @t2536 (=> @t622 (=> @t3355 (= @t3924 @t4731))))) % 3.49/3.72 (assume @p3527 (forall @t4289 (= @t4493 (and @t4717 @t4488)))) % 3.49/3.72 (assume @p3528 (forall (@list @t1419 @t21 @t1261 @t168 @t92 @t10) (= (tptp.hAPP @t4732 @t4733) (tptp.hAPP @t4735 (tptp.hAPP (tptp.hAPP @t3643 (tptp.hAPP @t4676 @t4733)) (tptp.hAPP @t4732 @t4700)))))) % 3.49/3.72 (assume @p3529 (forall (@list @t171 @t1972 @t1261 @t10) (=> @t3355 (=> @t4717 (=> @t4299 @t4663))))) % 3.49/3.72 (assume @p3530 (forall (@list @t3389 @t4736 @t1419 @t1261 @t92 @t10 @t2394 @t530) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2634 @t3424) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t530 @t2394) @t1261) (tptp.hAPP (tptp.c_COMBK @t4740 @t530) @t1419))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t530 @t2394 @t3424) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t530 @t4739 @t4738) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4737 (tptp.tc_fun @t4739 @t4738) @t530) (tptp.c_COMBB @t2683 @t3424 @t2394)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t4737 @t530) @t4669) @t4736))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2682 @t2683 @t2394) @t3483) @t3389)))) (tptp.hAPP (tptp.hAPP @t4669 (tptp.hAPP @t3275 @t4736)) (tptp.hAPP @t3483 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2394 @t2682) @t1419) @t3389)))))) % 3.49/3.72 (assume @p3531 (forall @t3488 (= @t4677 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 @t3424) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t4743 @t3424) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2682 (tptp.tc_fun @t4743 @t3424) @t10) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t92 @t3424)) @t1419)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3424 @t4743) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4742 (tptp.tc_fun @t3424 @t4743) @t10) (tptp.c_COMBC @t92 @t3424 @t3424)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 @t4742 @t10) (tptp.hAPP (tptp.c_COMBB @t2388 @t4741 @t92) @t4734)) @t2349))) @t3625)))))) % 3.49/3.72 (assume @p3532 (forall @t3416 (=> @t4372 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t4730) @t168))))))) % 3.49/3.72 (assume @p3533 (forall @t4289 (=> @t3355 (=> @t4717 (tptp.hBOOL (tptp.hAPP @t4180 @t4288)))))) % 3.49/3.72 (assume @p3534 (forall @t3453 (=> @t4372 (=> @t3355 (=> @t3479 (= (tptp.hBOOL (tptp.hAPP @t967 @t4730)) @t4745)))))) % 3.49/3.72 (assume @p3535 (forall @t3416 (=> @t622 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP @t4746 @t168))))))) % 3.49/3.72 (assume @p3536 (forall @t3453 (=> @t4748 (=> @t3479 (=> @t3355 @t4747))))) % 3.49/3.72 (assume @p3537 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hBOOL (tptp.hAPP @t4746 @t349)) (exists @t8 (and @t3039 (tptp.hBOOL (tptp.hAPP @t4749 @t349)))))))))) % 3.49/3.72 (assume @p3538 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hBOOL (tptp.hAPP @t967 @t4675)) @t4745)))))) % 3.49/3.72 (assume @p3539 (forall @t2442 (=> @t4748 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 @t4673))))))) % 3.49/3.72 (assume @p3540 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hBOOL (tptp.hAPP @t618 @t4675)) (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP @t618 @t4)))))))))) % 3.49/3.72 (assume @p3541 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 @t4675) @t349)) (exists @t8 (and @t3039 (tptp.hBOOL (tptp.hAPP @t3043 @t349)))))))))) % 3.49/3.72 (assume @p3542 (forall (@list @t1419 @t1261 @t2 @t530 @t92 @t10) (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t2393 @t2) @t4705) (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t2393 @t92 @t10 @t2518) @t2)) @t1261)) (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t530 (tptp.hAPP (tptp.c_Fun_Ocomp @t2393 @t530 @t10 @t2419) @t2)) @t1419))))) % 3.49/3.72 (assume @p3543 (forall @t3453 (=> @t4632 (=> @t3479 (=> @t3355 (=> @t3667 @t4747)))))) % 3.49/3.72 (assume @p3544 (forall @t3943 (=> (tptp.c_Big__Operators_Osemilattice__big @t10 @t2 @t3389) @t4721))) % 3.49/3.72 (assume @p3545 (forall (@list @t1261 @t3286 @t92 @t10) (exists @t4177 (and (tptp.c_Fun_Oinj__on @t10 @t2625 @t4176 @t3289) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4723 (tptp.hAPP (tptp.c_Set_Oimage @t10 @t2625 @t4176) @t3289)) (tptp.hAPP (tptp.hAPP @t4694 @t3286) @t1261))))))) % 3.49/3.72 (assume @p3546 (forall @t4750 (=> @t4717 (=> @t4488 @t4493)))) % 3.49/3.72 (assume @p3547 (forall @t4205 (=> @t4571 (=> @t3355 (=> @t3439 (= (tptp.hAPP (tptp.hAPP @t4568 (tptp.hAPP (tptp.hAPP @t4753 (tptp.hAPP (tptp.hAPP @t4752 @t4569) @t2)) @t1419)) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2388 @t530) @t2708) @t4677))))))) % 3.49/3.72 (assume @p3548 (forall @t4205 (=> @t4204 (=> @t3355 (=> @t3439 (= (tptp.hAPP (tptp.hAPP @t4203 (tptp.hAPP @t4754 @t1419)) @t1261) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2388 @t530) @t2708) @t4677))))))) % 3.49/3.72 (assume @p3549 (forall (@list @t1 @t1419 @t92 @t1261 @t10 @t530) (=> @t4571 (=> @t3355 (=> @t3439 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4539 (tptp.hAPP (tptp.hAPP @t4753 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t530 @t4751) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2389 (tptp.tc_fun @t530 @t4751) @t10) @t4540) @t1)) @t4755)) @t1419)) @t4755) @t1261) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t530 @t2388 @t4538) (tptp.hAPP @t2380 @t1)) @t4755) @t4677))))))) % 3.49/3.72 (assume @p3550 (forall @t3441 (=> @t3355 (=> @t3439 (= (tptp.hAPP @t4702 @t4677) (tptp.hAPP (tptp.hAPP @t2918 (tptp.hAPP @t4756 @t1419)) @t1261)))))) % 3.49/3.72 (assume @p3551 (forall @t2536 (=> @t4632 (=> @t3355 (=> @t3479 (=> (forall @t2447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t4757) @t3858))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t4672) @t1261)))))))) % 3.49/3.72 (assume @p3552 (forall @t3441 (=> @t3355 (=> @t4758 (tptp.hBOOL (tptp.hAPP @t3426 @t4677)))))) % 3.49/3.72 (assume @p3553 (forall @t4117 (=> @t4748 (=> (forall @t2447 (= (tptp.hAPP @t205 @t4757) (tptp.hAPP (tptp.hAPP @t704 @t4115) @t4114))) (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.hAPP @t4671 @t3367)) (tptp.hAPP @t4671 @t4112)))))))) % 3.49/3.72 (assume @p3554 (forall (@list @t1419 @t1261 @t20 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4761 @t4677)) (not (forall @t8 (=> @t3039 (forall @t270 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3262 @t267) @t3226)) (not (= @t20 @t4760)))))))))) % 3.49/3.72 (assume @p3555 (forall (@list @t1 @t530 @t2394 @t2 @t10 @t92) (=> @t3335 (=> (= (tptp.hAPP @t4766 (tptp.c_Orderings_Otop__class_Otop @t4740)) @t4229) (= (tptp.hAPP @t4765 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4764 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4763)))))) % 3.49/3.72 (assume @p3556 (forall (@list @t1419 @t1 @t2394 @t530 @t1261 @t2 @t92 @t10) (=> @t4526 (=> (tptp.c_Fun_Oinj__on @t530 @t2394 @t1 @t1419) (tptp.c_Fun_Oinj__on @t4762 @t4764 (tptp.c_Product__Type_Omap__pair @t10 @t92 @t530 @t2394 @t2 @t1) (tptp.hAPP @t4769 (tptp.hAPP @t4767 @t1419))))))) % 3.49/3.72 (assume @p3557 (forall (@list @t1 @t2 @t2394 @t530 @t2412 @t21 @t168 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3624 @t2412)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4773 (tptp.hAPP (tptp.hAPP @t4772 @t2354) @t4771)) (tptp.hAPP (tptp.c_Set_Oimage @t2388 @t2634 @t4770) @t2412)))))) % 3.49/3.72 (assume @p3558 (forall (@list @t1 @t2 @t92 @t10 @t2394 @t530) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2634 @t530 @t2388 @t2605) @t4770) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t530 @t2388 @t2) @t2505)))) % 3.49/3.72 (assume @p3559 (forall (@list @t1 @t2 @t92 @t10 @t530 @t2394) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4774 @t530 @t2388 @t2563) (tptp.c_Product__Type_Omap__pair @t10 @t2394 @t92 @t530 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t530 @t2388 @t1) @t2504)))) % 3.49/3.72 (assume @p3560 (forall (@list @t4775 @t143 @t205 @t2630 @t2392 @t1 @t2 @t92 @t2394 @t10 @t530) (= (tptp.hAPP @t4776 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2392 @t530 @t2630 @t2394 @t205 @t143) @t4775)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2392 @t10 @t2630 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t530 @t10 @t2392 @t2) @t205) (tptp.hAPP (tptp.c_Fun_Ocomp @t2394 @t92 @t2630 @t1) @t143)) @t4775)))) % 3.49/3.72 (assume @p3561 (forall (@list @t2635 @t2636 @t2630 @t75 @t76 @t2392 @t2394 @t92 @t530 @t10) (= (tptp.c_Product__Type_Omap__pair @t10 @t530 @t92 @t2394 (tptp.hAPP (tptp.c_Fun_Ocomp @t2392 @t530 @t10 @t76) @t75) (tptp.hAPP (tptp.c_Fun_Ocomp @t2630 @t2394 @t92 @t2636) @t2635)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4777 @t2634 @t2388 (tptp.c_Product__Type_Omap__pair @t2392 @t530 @t2630 @t2394 @t76 @t2636)) (tptp.c_Product__Type_Omap__pair @t10 @t2392 @t92 @t2630 @t75 @t2635))))) % 3.49/3.72 (assume @p3562 (forall (@list @t143 @t205 @t1 @t2 @t92 @t10 @t2394 @t530 @t2630 @t2392) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4777 @t2634 @t2388 (tptp.c_Product__Type_Omap__pair @t2392 @t530 @t2630 @t2394 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t10 @t2392 @t92 @t2630 @t205 @t143)) (tptp.c_Product__Type_Omap__pair @t10 @t530 @t92 @t2394 (tptp.hAPP (tptp.c_Fun_Ocomp @t2392 @t530 @t10 @t2) @t205) (tptp.hAPP (tptp.c_Fun_Ocomp @t2630 @t2394 @t92 @t1) @t143))))) % 3.49/3.72 (assume @p3563 (forall (@list @t349 @t1 @t2 @t2394 @t530 @t10 @t92) (= (tptp.hAPP @t2421 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t530 @t92 @t2394 @t10 @t2 @t1) @t349)) @t2604))) % 3.49/3.72 (assume @p3564 (forall (@list @t583 @t92 @t10) (= (tptp.hAPP @t4778 @t583) @t583))) % 3.49/3.72 (assume @p3565 (forall (@list @t349 @t1 @t2 @t2394 @t530 @t92 @t10) (= (tptp.hAPP @t2505 (tptp.hAPP @t4776 @t349)) @t2606))) % 3.49/3.72 (assume @p3566 (forall (@list @t21 @t168 @t1 @t2 @t92 @t2394 @t10 @t530) (= (tptp.hAPP @t4776 (tptp.hAPP (tptp.hAPP @t4772 @t168) @t21)) (tptp.hAPP (tptp.hAPP @t2349 @t2354) @t4771)))) % 3.49/3.72 (assume @p3567 (forall (@list @t1 @t2 @t2394 @t92 @t530 @t10) (= @t4770 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t2634) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4781 @t4780) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4779 (tptp.tc_fun @t4781 @t4780) @t10) (tptp.c_COMBB @t2394 @t2634 @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t530 @t4779 @t10) @t4772) @t2))) @t1))))) % 3.49/3.72 (assume @p3568 (forall (@list @t4782 @t1419 @t1 @t530 @t2394 @t4232 @t1261 @t2 @t10 @t92) (=> (= @t3010 @t4232) (=> (= (tptp.hAPP @t4766 @t1419) @t4782) (= (tptp.hAPP @t4765 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t92 @t2394) @t1261) (tptp.hAPP (tptp.c_COMBK @t4740 @t92) @t1419))) (tptp.hAPP (tptp.hAPP @t4768 @t4232) (tptp.hAPP @t4767 @t4782))))))) % 3.49/3.72 (assume @p3569 (forall (@list @t2412 @t1 @t2 @t2394 @t530 @t20 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4761 (tptp.hAPP (tptp.c_Set_Oimage @t2634 @t2388 @t4776) @t2412))) (not (forall @t2447 (=> (= @t20 (tptp.hAPP (tptp.hAPP @t2349 @t6) (tptp.hAPP @t1 @t267))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4773 (tptp.hAPP (tptp.hAPP @t4772 @t4) @t267)) @t2412))))))))) % 3.49/3.72 (assume @p3570 (forall @t4033 (=> @t3720 (=> @t4031 @t4032)))) % 3.49/3.72 (assume @p3571 (forall (@list @t3367 @t205 @t3389 @t2 @t10) (=> @t4194 (=> (forall @t2447 (= (tptp.hAPP @t205 @t2704) (tptp.hAPP (tptp.hAPP @t2 @t4115) @t4114))) (=> @t3874 (=> @t4113 (= (tptp.hAPP @t205 (tptp.hAPP @t3389 @t3367)) (tptp.hAPP @t3389 @t4112)))))))) % 3.49/3.72 (assume @p3572 (forall (@list @t55 @t610) (=> @t4784 (=> (forall @t8 (tptp.hBOOL (tptp.hAPP @t55 @t4783))) (tptp.hBOOL @t2549))))) % 3.49/3.72 (assume @p3573 (forall @t3724 (=> @t4784 (not (forall @t8 (not (= @t610 @t4783))))))) % 3.49/3.72 (assume @p3574 (forall @t4433 (=> @t3795 (=> @t3794 (=> @t3442 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3263 @t4413)) (= @t5 @t583))) @t4450)))))) % 3.49/3.72 (assume @p3575 (forall @t1752 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t2309 @t4786))) % 3.49/3.72 (assume @p3576 (forall @t4799 (=> @t4798 (= (tptp.hAPP tptp.c_Nat_OSuc @t4796) @t4791)))) % 3.49/3.72 (assume @p3577 (forall @t4804 (=> @t4803 @t4802))) % 3.49/3.72 (assume @p3578 (forall @t4811 (=> (or @t4810 @t4809) (tptp.hBOOL (tptp.hAPP @t3349 @t4807))))) % 3.49/3.72 (assume @p3579 (forall @t1866 (tptp.hBOOL (tptp.hAPP @t3357 (tptp.hAPP @t4790 (tptp.hAPP @t4787 @t316)))))) % 3.49/3.72 (assume @p3580 (forall @t1866 (tptp.hBOOL (tptp.hAPP @t3357 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t2883 @t915) @t316)))))) % 3.49/3.72 (assume @p3581 (forall @t3949 (=> @t4812 @t4513))) % 3.49/3.72 (assume @p3582 (forall @t4817 (= (tptp.hAPP @t4816 (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP @t2718 @t4815) @t51))) (tptp.hAPP @t4814 (tptp.hAPP @t3483 (tptp.hAPP @t4813 @t51)))))) % 3.49/3.72 (assume @p3583 (forall @t4817 (= (tptp.hAPP @t4816 (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP @t4692 @t4815) @t51))) (tptp.hAPP @t4814 (tptp.hAPP @t4818 @t51))))) % 3.49/3.72 (assume @p3584 (forall (@list @t55 @t2 @t92 @t10) (= (tptp.hAPP @t4605 @t4819) (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4453 @t55) @t2))))) % 3.49/3.72 (assume @p3585 (forall @t4824 (= @t4823 @t4820))) % 3.49/3.72 (assume @p3586 (forall @t4811 (= (tptp.hBOOL (tptp.hAPP @t3349 @t4826)) (and @t4810 @t4809)))) % 3.49/3.72 (assume @p3587 (forall @t1752 (=> @t622 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t2458)))) % 3.49/3.72 (assume @p3588 (forall @t1752 (=> @t622 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t2569)))) % 3.49/3.72 (assume @p3589 (forall @t2536 (= (tptp.hAPP @t4800 @t4183) @t1261))) % 3.49/3.72 (assume @p3590 (forall @t4827 (= @t4802 @t4803))) % 3.49/3.72 (assume @p3591 (forall @t4827 (=> @t4802 @t4803))) % 3.49/3.72 (assume @p3592 (forall @t1752 (=> @t4748 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t704)))) % 3.49/3.72 (assume @p3593 (forall @t1752 (=> @t3163 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t3155)))) % 3.49/3.72 (assume @p3594 (forall @t4811 (= @t4826 (tptp.hAPP (tptp.hAPP @t3096 @t4801) @t4808)))) % 3.49/3.72 (assume @p3595 (forall @t4824 (= (= @t3465 @t4801) @t4829))) % 3.49/3.72 (assume @p3596 (forall @t4824 (= (= @t4801 @t3465) @t4829))) % 3.49/3.72 (assume @p3597 (forall @t1752 (= @t3465 (tptp.hAPP @t4800 @t4831)))) % 3.49/3.72 (assume @p3598 (forall @t4827 (= (tptp.hAPP @t3361 @t4801) (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4832 (tptp.hAPP @t4821 @t2723))) @t55))))) % 3.49/3.72 (assume @p3599 (forall @t4824 (= @t4801 @t55))) % 3.49/3.72 (assume @p3600 (forall @t4533 (=> @t4812 (tptp.c_Finite__Set_Ofun__left__comm__idem @t530 @t92 @t4833)))) % 3.49/3.72 (assume @p3601 (forall (@list @t583 @t349 @t2 @t92 @t10) (=> @t4812 (= (tptp.hAPP @t566 @t4834) @t4834)))) % 3.49/3.72 (assume @p3602 (forall @t1752 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t2309 @t3360))) % 3.49/3.72 (assume @p3603 (forall @t1752 (= @t3318 (tptp.hAPP @t4800 (tptp.hAPP @t4830 tptp.c_fTrue))))) % 3.49/3.72 (assume @p3604 (forall @t1752 (=> @t4372 (tptp.c_Finite__Set_Ofun__left__comm__idem @t10 @t10 @t4329)))) % 3.49/3.72 (assume @p3605 (forall @t4811 (= @t4807 (tptp.hAPP (tptp.hAPP @t4324 @t4801) @t4808)))) % 3.49/3.72 (assume @p3606 (forall @t3663 (= @t3362 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4825 @t2723)) @t4444))))) % 3.49/3.72 (assume @p3607 (forall @t2442 (= @t3113 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4825 @t4183)) @t4444))))) % 3.49/3.72 (assume @p3608 (forall (@list @t55 @t1261 @t349 @t10) (= (tptp.hBOOL (tptp.hAPP @t3580 @t4835)) (and @t3581 @t2687)))) % 3.49/3.72 (assume @p3609 (forall @t2442 (= @t4326 @t4836))) % 3.49/3.72 (assume @p3610 (forall @t335 (= (tptp.hAPP @t4800 @t2408) @t3467))) % 3.49/3.72 (assume @p3611 (forall @t335 (= @t4837 @t3467))) % 3.49/3.72 (assume @p3612 (forall @t4804 (and (=> @t4803 (= @t4838 @t3467)) (=> @t4839 (= @t4838 @t3465))))) % 3.49/3.72 (assume @p3613 (forall @t4804 (and (=> @t4803 (= @t4840 @t3467)) (=> @t4839 (= @t4840 @t3465))))) % 3.49/3.72 (assume @p3614 (forall @t2442 (= @t2529 (tptp.hAPP @t4800 (tptp.hAPP @t4623 (tptp.hAPP @t4821 @t4444)))))) % 3.49/3.72 (assume @p3615 (forall @t4824 (=> @t4810 (= (tptp.hBOOL (tptp.hAPP @t3349 @t4823)) @t3428)))) % 3.49/3.72 (assume @p3616 (forall @t3663 (= @t3362 (tptp.hAPP (tptp.hAPP @t3096 @t4837) @t1419)))) % 3.49/3.72 (assume @p3617 (forall @t2536 (= @t2533 (tptp.hAPP @t4800 (tptp.hAPP @t4821 @t4183))))) % 3.49/3.72 (assume @p3618 (forall @t4620 (= @t4611 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t2682 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 (tptp.tc_fun @t2682 tptp.tc_HOL_Obool) @t10) @t3262) @t2)) @t1419))))) % 3.49/3.72 (assume @p3619 (forall @t4811 (= (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t4832 @t55)) @t51)) (tptp.hAPP (tptp.hAPP @t3096 @t4820) @t4808)))) % 3.49/3.72 (assume @p3620 (forall @t4843 (= @t4637 (tptp.hAPP @t4800 (tptp.hAPP @t4821 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3967 tptp.tc_HOL_Obool) (tptp.hAPP @t4842 @t314)) @t391)))))) % 3.49/3.72 (assume @p3621 (forall @t683 (tptp.hBOOL (tptp.hAPP @t3357 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t2886 (tptp.hAPP @t2884 @t55)) @t4792)))))) % 3.49/3.72 (assume @p3622 (forall (@list @t2412 @t2 @t4152 @t92 @t3085 @t10 @t530) (=> @t4204 (=> @t3720 (=> @t4851 (= (tptp.hAPP (tptp.hAPP @t4203 (tptp.hAPP @t4754 @t4850)) @t3085) (tptp.hAPP (tptp.hAPP @t4202 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t92 @t2309 @t530) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t530) (tptp.tc_fun @t2309 @t530) @t92) @t4203) (tptp.hAPP (tptp.c_COMBC @t10 @t92 @t530) @t2))) (tptp.hAPP @t4846 (tptp.hAPP (tptp.hAPP @t4397 @t4845) @t4844)))) @t4152))))))) % 3.49/3.72 (assume @p3623 (forall (@list @t3085 @t1 @t2 @t55 @t10 @t92) (= (tptp.hAPP (tptp.c_Set_Oimage @t92 @t10 (tptp.hAPP (tptp.hAPP @t2839 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t92 @t10 @t2203) (tptp.hAPP @t4625 @t55)) @t2)) @t1)) @t3085) (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP @t3008 (tptp.hAPP @t4853 @t4819))) (tptp.hAPP @t3449 (tptp.hAPP @t4853 (tptp.hAPP @t4813 (tptp.hAPP @t4852 @t55)))))))) % 3.49/3.72 (assume @p3624 (forall (@list @t1 @t2 @t55 @t92 @t10) (= (tptp.c_Map_Odom @t10 @t92 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t3967 @t3967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t3967 @t4855) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t3967 @t4855) @t10) (tptp.c_If @t3967)) @t55)) @t2)) @t1)) (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t4324 @t4629) @t4801)) (tptp.hAPP (tptp.hAPP @t4324 @t4854) @t4823))))) % 3.49/3.72 (assume @p3625 (forall (@list @t19 @t2 @t10 @t1261) (=> (= @t1261 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t2) (tptp.hAPP @t4790 (tptp.hAPP @t4787 @t19)))) @t3355))) % 3.49/3.72 (assume @p3626 (forall @t4447 (=> @t3044 (=> @t3355 (= (tptp.hAPP @t3042 @t4836) @t4445))))) % 3.49/3.72 (assume @p3627 (forall (@list @t2 @t530 @t1 @t3085 @t10 @t92) (=> @t3044 (=> @t3720 (= (tptp.hAPP @t3041 @t3085) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t530 @t92) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t92 @t530) @t3041) (tptp.hAPP (tptp.hAPP @t4388 @t4800) (tptp.hAPP (tptp.hAPP @t4388 @t4845) (tptp.hAPP (tptp.c_COMBC @t10 @t530 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t530 @t2413 @t10) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4534 @t3085))))))) % 3.49/3.72 (assume @p3628 (forall (@list @t168 @t1972 @t10 @t92) (= @t4248 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4235 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2625 @t4856 @t10) @t4238) @t4246)) @t1972))))) % 3.49/3.72 (assume @p3629 (forall (@list @t1 @t2 @t55 @t1261 @t10 @t92) (=> @t3044 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3040 (tptp.hAPP (tptp.hAPP @t3400 (tptp.hAPP (tptp.hAPP @t3713 (tptp.hAPP @t3712 @t55)) @t2)) @t1)) @t1261) (tptp.hAPP (tptp.hAPP @t3396 (tptp.hAPP @t3042 @t4835)) (tptp.hAPP @t3041 (tptp.hAPP @t4325 @t4820)))))))) % 3.49/3.72 (assume @p3630 (forall @t4799 (=> (not @t4798) (= @t4796 @t4791)))) % 3.49/3.72 (assume @p3631 (forall @t4799 (=> @t4798 (not (= @t4791 @t199))))) % 3.49/3.72 (assume @p3632 (forall @t2841 (= (tptp.c_Map_Odom @t10 @t92 (tptp.c_Fun_Ooverride__on @t10 @t3967 @t2 @t1 @t1261)) (tptp.hAPP (tptp.hAPP @t3096 (tptp.hAPP (tptp.hAPP @t2522 @t4629) (tptp.hAPP @t4800 (tptp.hAPP @t3646 (tptp.hAPP @t2528 @t4854))))) (tptp.hAPP @t4800 (tptp.hAPP @t3646 (tptp.hAPP @t4325 @t4854))))))) % 3.49/3.72 (assume @p3633 (forall (@list @t316 @t2412 @t4152 @t92 @t3085 @t10) (=> @t3720 (=> @t4851 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3263 @t4152)) (= (tptp.hAPP @t3064 (tptp.hAPP @t4800 (tptp.hAPP @t4845 @t4857))) @t316))) (= (tptp.hAPP (tptp.hAPP @t2918 (tptp.hAPP @t4756 @t4850)) @t3085) (tptp.hAPP @t991 (tptp.hAPP @t3068 @t4152)))))))) % 3.49/3.72 (assume @p3634 (forall @t2536 (=> @t3355 (tptp.hBOOL (tptp.hAPP @t4180 @t4859))))) % 3.49/3.72 (assume @p3635 (forall @t2536 (= @t4166 @t4859))) % 3.49/3.72 (assume @p3636 (forall @t4862 @t4861)) % 3.49/3.72 (assume @p3637 (forall @t4862 @t4863)) % 3.49/3.72 (assume @p3638 (forall @t4864 (= (tptp.c_Fun_Ooverride__on @t10 @t92 @t2 @t1 @t3465) @t2))) % 3.49/3.72 (assume @p3639 (forall @t3429 (tptp.c_Fun_Oinj__on @t956 @t3424 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3424 @t3424 @t956) @t4816) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2683 @t3424 @t956) @t2352) (tptp.hAPP @t4451 (tptp.hAPP (tptp.c_COMBC @t92 @t92 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t3430))) % 3.49/3.72 (assume @p3640 (forall @t1097 (tptp.c_Nat__Transfer_Onat__set @t4866))) % 3.49/3.72 (assume @p3641 (forall @t4862 (and @t4861 @t4863))) % 3.49/3.72 (assume @p3642 (forall @t1752 (= @t3918 (tptp.hAPP (tptp.c_Set_OCollect @t3920) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2309 @t2309 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4872 (tptp.hAPP @t4871 (tptp.hAPP @t4869 @t2537))) @t3349)))))) % 3.49/3.72 (assume @p3643 (forall (@list @t2 @t1972 @t10 @t92) (= @t4129 (tptp.hAPP @t4877 (tptp.hAPP @t4141 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4119 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4876 (tptp.tc_fun @t4119 @t2309) @t10) (tptp.c_COMBC @t10 @t4119 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4874 @t4876 @t10) (tptp.hAPP (tptp.c_COMBB @t3899 @t4875 @t10) @t3900)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t956 @t4874) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4873 (tptp.tc_fun @t956 @t4874) @t10) (tptp.c_COMBB @t92 @t3899 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t4873 @t10) @t3898) @t2))) @t2)))) @t1972)))))) % 3.49/3.72 (assume @p3644 (forall @t1097 (= @t4866 (tptp.hAPP @t2998 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t55) @t576)))))) % 3.49/3.72 (assume @p3645 (forall @t1097 (= (tptp.hAPP @t4790 @t55) (tptp.hAPP @t3066 (tptp.hAPP @t4865 (tptp.hAPP @t2407 (tptp.hAPP (tptp.hAPP @t2218 @t55) tptp.c_Int_Onat))))))) % 3.49/3.72 (assume @p3646 (forall @t3488 (= (tptp.c_Nitpick_Oprod @t10 @t92 @t1261 @t1419) (tptp.hAPP @t4816 (tptp.hAPP @t2352 @t4878))))) % 3.49/3.72 (assume @p3647 (forall @t4882 (= @t4881 (tptp.hAPP @t4880 (tptp.hAPP @t2329 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2326 @t2326) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2189 @t2410 tptp.tc_Int_Oint) @t2187) @t4879)) @t584)))))) % 3.49/3.72 (assume @p3648 (forall @t4882 (= @t4883 (tptp.hAPP @t4880 (tptp.hAPP @t2329 (tptp.hAPP (tptp.hAPP @t2328 (tptp.hAPP @t2191 @t4879)) @t584)))))) % 3.49/3.72 (assume @p3649 (forall @t1975 (= @t4885 (tptp.c_Relation_Orefl__on @t10 @t3318 @t4884)))) % 3.49/3.72 (assume @p3650 (forall @t4650 (=> @t4885 (tptp.hBOOL (tptp.hAPP @t4886 @t349))))) % 3.49/3.72 (assume @p3651 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (= (tptp.hAPP (tptp.hAPP @t2458 @t3924) @t3928) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP @t4900 (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t4896 (tptp.hAPP @t4895 (tptp.hAPP @t4892 (tptp.hAPP @t4890 @t2458))))) @t4887))))))))))))) % 3.49/3.72 (assume @p3652 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hAPP @t2459 @t3924) (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4893 (tptp.hAPP @t4140 (tptp.hAPP @t4901 @t2459)))) @t4183)))))))))) % 3.49/3.72 (assume @p3653 (forall (@list @t51 @t92 @t55 @t10) (=> @t4810 (= (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP @t4813 (tptp.hAPP @t4904 (tptp.hAPP (tptp.hAPP @t4397 @t4806) @t51))))) (forall @t270 (=> (tptp.hBOOL @t2445) (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP @t4813 (tptp.hAPP (tptp.hAPP @t4902 @t51) @t267)))))))))) % 3.49/3.72 (assume @p3654 (forall @t4110 (=> @t4810 (tptp.hBOOL (tptp.hAPP @t3418 (tptp.hAPP @t4813 (tptp.hAPP @t4904 (tptp.hAPP (tptp.hAPP @t3248 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4139 @t3246 @t92) @t4622) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t4139 @t92) @t2714) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t956 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2682 @t4454 @t92) @t4453) tptp.c_fequal)) @t2)))) @t55)))))))) % 3.49/3.72 (assume @p3655 (forall (@list @t314 @t10 @t92) (= @t3981 (tptp.hAPP @t4800 (tptp.hAPP @t4908 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2655 @t2682 @t10) (tptp.hAPP @t4906 (tptp.hAPP @t4905 @t314))) @t354)))))) % 3.49/3.72 (assume @p3656 (forall @t2536 (= (tptp.hAPP @t4165 @t2533) (tptp.hAPP @t4858 (tptp.hAPP (tptp.hAPP @t4909 (tptp.c_HOL_OEx @t2309)) (tptp.hAPP (tptp.hAPP @t4872 (tptp.hAPP @t4871 (tptp.hAPP @t4869 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2309 @t3246 @t2729) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2729 (tptp.tc_fun @t3246 @t2729) @t2309) (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t2309)) tptp.c_fequal)) @t2532)))) (tptp.hAPP (tptp.hAPP @t4909 @t4170) @t4165))))))) % 3.49/3.72 (assume @p3657 (forall @t4913 (=> @t4912 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t4910 @t3878) (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t4911))))))) % 3.49/3.72 (assume @p3658 (forall @t4913 (=> @t4912 (=> @t3874 (=> @t4113 (= (tptp.hAPP @t4910 @t3873) (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t4911))))))) % 3.49/3.72 (assume @p3659 (forall @t2442 (=> @t4914 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (= (tptp.hAPP (tptp.hAPP @t3155 @t4495) @t4506) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP @t4900 (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t4896 (tptp.hAPP @t4895 (tptp.hAPP @t4892 (tptp.hAPP @t4890 @t3155))))) @t4887))))))))))))) % 3.49/3.72 (assume @p3660 (forall @t3453 (=> @t4914 (=> @t3355 (=> @t3479 (= (tptp.hAPP @t3169 @t4495) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4893 (tptp.hAPP @t4140 (tptp.hAPP @t4901 @t3169)))) @t4183)))))))))) % 3.49/3.72 (assume @p3661 (forall @t3453 (=> @t4914 (=> @t3355 (=> @t3479 (= (tptp.hAPP @t4330 @t3840) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4893 (tptp.hAPP @t4140 (tptp.hAPP @t4901 @t4330)))) @t4183)))))))))) % 3.49/3.72 (assume @p3662 (forall @t2442 (=> @t4914 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (= (tptp.hAPP (tptp.hAPP @t4329 @t3840) @t3852) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP @t4900 (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t4896 (tptp.hAPP @t4895 (tptp.hAPP @t4892 (tptp.hAPP @t4890 @t4329))))) @t4887))))))))))))) % 3.49/3.72 (assume @p3663 (forall @t2442 (=> @t622 (=> @t3355 (=> @t3479 (=> @t3350 (=> @t3853 (= (tptp.hAPP (tptp.hAPP @t2569 @t3933) @t3938) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP @t4900 (tptp.hAPP (tptp.hAPP @t4897 (tptp.hAPP @t4896 (tptp.hAPP @t4895 (tptp.hAPP @t4892 (tptp.hAPP @t4890 @t2569))))) @t4887))))))))))))) % 3.49/3.72 (assume @p3664 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3479 (= (tptp.hAPP @t2570 @t3933) (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 (tptp.hAPP @t4800 (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4893 (tptp.hAPP @t4140 (tptp.hAPP @t4901 @t2570)))) @t4183)))))))))) % 3.49/3.72 (assume @p3665 (forall (@list @t1419 @t1261 @t1 @t2 @t92 @t10 @t530) (=> (tptp.class_Rings_Osemiring__0 @t530) (=> (tptp.c_Fun_Oinj__on @t2388 @t530 (tptp.hAPP @t2380 @t4916) @t4701) (= (tptp.hAPP (tptp.hAPP @t4538 (tptp.hAPP (tptp.hAPP @t4203 @t2) @t1261)) (tptp.hAPP (tptp.hAPP @t4202 @t1) @t1419)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t530 @t530) (tptp.c_Fun_Oid @t530)) (tptp.hAPP (tptp.c_Set_OCollect @t530) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t530) @t4898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2683 @t2309 @t530) @t4908) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t530 @t2683 @t2683) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4921 (tptp.tc_fun @t2683 @t2683) @t530) @t4692) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4920 @t4921 @t530) (tptp.hAPP (tptp.c_COMBB @t4919 @t2716 @t10) @t4849)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2683 @t4920 @t530) (tptp.hAPP (tptp.c_COMBB @t2682 @t4919 @t10) @t4848)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t530 @t4918 @t2683) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4917 (tptp.tc_fun @t4918 @t2683) @t530) (tptp.c_COMBB @t2389 @t2682 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2413 @t4917 @t530) (tptp.c_COMBB @t530 tptp.tc_HOL_Obool @t92)) tptp.c_fequal))) @t4916))))) @t4878)))))))))) % 3.49/3.72 (assume @p3666 (forall (@list @t316 @t2412 @t62 @t92 @t18 @t10) (=> @t4056 (=> (tptp.hBOOL (tptp.hAPP @t3418 @t62)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3263 @t62)) (= (tptp.hAPP @t3064 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t2714 (tptp.hAPP @t3646 @t18))) @t4857))) (tptp.hAPP @t316 @t4)))) (= (tptp.hAPP (tptp.hAPP @t2918 (tptp.hAPP @t4756 (tptp.hAPP @t4818 (tptp.hAPP (tptp.hAPP @t3508 (tptp.hAPP @t4849 (tptp.hAPP @t4848 (tptp.hAPP @t3704 @t62)))) @t2412)))) @t18) (tptp.hAPP (tptp.hAPP @t2811 @t316) @t62))))))) % 3.49/3.72 (assume @p3667 (forall @t2536 (tptp.c_Fun_Oinj__on @t10 @t10 @t4922 @t1261))) % 3.49/3.72 (assume @p3668 (forall @t3429 (= (tptp.c_Product__Type_Omap__pair @t10 @t10 @t92 @t92 @t4922 @t4924) @t4923))) % 3.49/3.72 (assume @p3669 (forall @t3429 (= @t4778 @t4923))) % 3.49/3.72 (assume @p3670 (forall @t353 (= (tptp.hAPP @t4925 @t101) @t101))) % 3.49/3.72 (assume @p3671 (forall (@list @t4926 @t66) (= (tptp.hAPP @t4925 @t4926) @t4926))) % 3.49/3.72 (assume @p3672 (forall @t4046 (= (tptp.c_Product__Type_Oapsnd @t92 @t92 @t10 @t4924) @t4923))) % 3.49/3.72 (assume @p3673 (forall @t3429 (= (tptp.c_Product__Type_Oapfst @t10 @t10 @t92 @t4922) @t4923))) % 3.49/3.72 (assume @p3674 (= @t831 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 3.49/3.72 (assume @p3675 (forall @t2536 (= (tptp.hAPP (tptp.c_Set_Ovimage @t10 @t10 @t4922) @t1261) @t1261))) % 3.49/3.72 (assume @p3676 (forall @t3491 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t92 @t10 @t2) @t4922) @t2))) % 3.49/3.72 (assume @p3677 (forall (@list @t1 @t10 @t92) (= (tptp.hAPP @t4927 @t1) @t1))) % 3.49/3.72 (assume @p3678 (forall @t4217 (=> (= @t4216 (tptp.hAPP @t4927 @t20)) @t4215))) % 3.49/3.72 (assume @p3679 (forall @t1752 (= (tptp.hAPP @t4928 @t3318) @t3318))) % 3.49/3.72 (assume @p3680 (forall @t3344 (= (tptp.hAPP @t4928 @t169) @t169))) % 3.49/3.72 (assume @p3681 (forall (@list @t3389 @t2 @t92 @t10) (=> @t4261 (= (tptp.hAPP @t3389 @t3465) @t4924)))) % 3.49/3.72 (assume @p3682 (forall (@list @t2 @t10 @t530 @t92) (= (tptp.c_Product__Type_Oapsnd @t92 @t530 @t10 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t10 @t92 @t530 @t4922 @t2)))) % 3.49/3.72 (assume @p3683 (forall @t2623 (= (tptp.c_Product__Type_Oapfst @t10 @t530 @t92 @t2) (tptp.c_Product__Type_Omap__pair @t10 @t530 @t92 @t92 @t2 @t4924)))) % 3.49/3.72 (assume @p3684 (forall @t3429 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t2388) @t2349) @t4923))) % 3.49/3.72 (assume @p3685 (forall @t4929 (=> @t3044 (=> @t4522 (= @t3351 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t92 @t92) @t4924) @t3013)))))) % 3.49/3.72 (assume @p3686 (forall @t4929 (=> @t3995 (=> @t4522 (= @t4034 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t92 @t92) @t4924) @t3013)))))) % 3.49/3.72 (assume @p3687 (forall @t2536 (= @t3355 (exists (@list @t9 @t4176) (= @t1261 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t10 @t4176) (tptp.hAPP @t4790 (tptp.hAPP @t4787 @t9)))))))) % 3.49/3.72 (assume @p3688 (forall (@list @t18 @t1972 @t92 @t530 @t10) (= @t4940 (tptp.hAPP @t4816 (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3590 @t2682 @t10) (tptp.hAPP (tptp.c_COMBB @t2413 tptp.tc_HOL_Obool @t92) (tptp.c_HOL_OEx @t530))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3590 @t3590) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4668 (tptp.tc_fun @t3590 @t3590) @t10) (tptp.c_COMBB @t2413 @t2413 @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4938 @t4668 @t10) (tptp.c_COMBS @t530 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2413 @t4938 @t10) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2189 @t530) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4763 @t2413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4937 (tptp.tc_fun @t4763 @t2413) @t10) (tptp.c_COMBC @t530 @t4763 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t530 @t4762) @t4937 @t10) (tptp.hAPP (tptp.c_COMBB @t4762 @t4936 @t530) @t4935)) @t2373))) @t1972))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t4932 @t2413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4934 (tptp.tc_fun @t4932 @t2413) @t92) (tptp.c_COMBC @t530 @t4932 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t530 @t4930) @t4934 @t92) (tptp.hAPP (tptp.c_COMBB @t4930 @t4933 @t530) @t4931)) (tptp.hAPP (tptp.c_COMBC @t530 @t92 @t4930) @t2596)))) @t18)))))))) % 3.49/3.72 (assume @p3689 (forall (@list @t18 @t20 @t530 @t1972 @t21 @t168 @t92 @t10) (=> @t4243 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3692 (tptp.hAPP (tptp.hAPP @t2382 @t21) @t20)) @t18)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4935 (tptp.hAPP (tptp.hAPP @t2373 @t168) @t20)) @t4942)))))) % 3.49/3.72 (assume @p3690 (forall (@list @t1972 @t3286 @t2394 @t18 @t92 @t530 @t10) (= (tptp.hAPP @t4943 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2394 @t4932) @t3286) @t1972)) (tptp.hAPP @t4944 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4932 @t3424 @t2394) @t4943) @t1972))))) % 3.49/3.72 (assume @p3691 (forall (@list @t18 @t1972 @t3286 @t2394 @t92 @t530 @t10) (= (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2394 @t4763) @t3286) @t1972)) @t18) (tptp.hAPP @t4944 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2394 @t4932 @t3424) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4763 (tptp.tc_fun @t4932 @t3424) @t2394) @t4939) @t1972)) @t18))))) % 3.49/3.72 (assume @p3692 (forall @t4945 (= (tptp.hAPP (tptp.hAPP @t4939 (tptp.c_Orderings_Obot__class_Obot @t4763)) @t2412) @t3625))) % 3.49/3.72 (assume @p3693 (forall @t4945 (= (tptp.hAPP @t4946 (tptp.c_Orderings_Obot__class_Obot @t4932)) @t3625))) % 3.49/3.72 (assume @p3694 (forall (@list @t2412 @t4152 @t3085 @t92 @t530 @t10) (= (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4763) @t3085) @t4152)) @t2412) (tptp.hAPP (tptp.hAPP @t3643 (tptp.hAPP (tptp.hAPP @t4939 @t3085) @t2412)) (tptp.hAPP (tptp.hAPP @t4939 @t4152) @t2412))))) % 3.49/3.72 (assume @p3695 (forall (@list @t4152 @t3085 @t2412 @t92 @t530 @t10) (= (tptp.hAPP @t4946 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4932) @t3085) @t4152)) (tptp.hAPP (tptp.hAPP @t3643 (tptp.hAPP @t4946 @t3085)) (tptp.hAPP @t4946 @t4152))))) % 3.49/3.72 (assume @p3696 (forall (@list @t18 @t4947 @t530 @t1972 @t4233 @t92 @t10) (=> @t4234 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4949 @t4947) @t18)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4948 (tptp.hAPP (tptp.hAPP @t4941 @t4233) @t4947)) @t4942)))))) % 3.49/3.72 (assume @p3697 (forall (@list @t4152 @t3085 @t2412 @t2394 @t92 @t530 @t10) (= (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t2394 @t530) @t2412) @t3085)) @t4152) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t2394 @t92) @t2412) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t2394 @t530 @t92) @t3085) @t4152))))) % 3.49/3.72 (assume @p3698 (forall @t2526 (=> (= (tptp.hAPP @t4951 @t1419) @t3762) (=> @t4952 (= (tptp.hAPP @t4951 (tptp.hAPP (tptp.hAPP @t4146 @t1419) @t2521)) @t3762))))) % 3.49/3.72 (assume @p3699 (forall @t3175 (=> @t4952 (=> (= (tptp.hAPP (tptp.hAPP @t4950 @t1419) @t2521) @t3762) (= (tptp.hAPP (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t4146 @t1261) @t1419)) @t2521) @t3762))))) % 3.49/3.72 (assume @p3700 (forall (@list @t2521 @t18 @t530 @t1419 @t1261 @t1972 @t92 @t10) (=> @t4725 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4949 @t18) (tptp.hAPP (tptp.hAPP @t4704 @t1419) (tptp.hAPP @t4703 @t2521)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4948 @t4942) (tptp.hAPP @t4769 (tptp.hAPP @t4767 @t2521)))))))) % 3.49/3.72 (assume @p3701 (forall @t3649 (=> @t4959 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4957 (tptp.hAPP (tptp.hAPP @t4956 @t4095) (tptp.hAPP (tptp.hAPP @t4955 (tptp.c_Wellfounded_Omax__ext @t10 @t3085)) @t4954))) @t4095))))) % 3.49/3.72 (assume @p3702 (forall @t3649 (=> @t4959 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4957 (tptp.hAPP (tptp.hAPP @t4956 @t4960) (tptp.hAPP (tptp.hAPP @t4955 (tptp.c_Wellfounded_Omin__ext @t10 @t3085)) @t4954))) @t4960))))) % 3.49/3.72 (assume @p3703 (forall (@list @t610 @t349 @t18 @t1972 @t530 @t92 @t10) (= (tptp.c_Predicate_Opred__comp @t10 @t92 @t530 @t4961 (tptp.hAPP @t3697 @t18) @t349 @t610) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4935 @t2374) @t4942))))) % 3.49/3.72 (assume @p3704 (forall @t3649 (=> @t4962 (=> @t4959 (tptp.c_FunDef_Oreduction__pair @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3760 @t3760) @t2412) @t3085)))))) % 3.49/3.72 (assume @p3705 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 3.49/3.72 (assume @p3706 (forall (@list @t530 @t92 @t10 @t20 @t18 @t21 @t168 @t1972) (=> @t2301 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 @t21) @t20)) (tptp.c_Predicate_Opred__comp @t10 @t92 @t530 @t1972 @t18 @t168 @t20))))) % 3.49/3.72 (assume @p3707 (forall @t1752 (tptp.c_Wellfounded_Owf @t10 @t3762))) % 3.49/3.72 (assume @p3708 (forall @t4964 (=> @t4963 (tptp.c_Wellfounded_Owf @t92 (tptp.hAPP (tptp.hAPP @t4118 @t1972) @t2))))) % 3.49/3.72 (assume @p3709 (forall (@list @t4965 @t92 @t4966 @t10) (=> (tptp.c_Wellfounded_Owf @t10 @t4966) (=> (tptp.c_Wellfounded_Owf @t92 @t4965) (tptp.c_Wellfounded_Owf @t2388 (tptp.c_Wellfounded_Olex__prod @t10 @t92 @t4966 @t4965)))))) % 3.49/3.72 (assume @p3710 (forall @t2903 (tptp.c_Wellfounded_Owf @t10 @t3785))) % 3.49/3.72 (assume @p3711 (forall @t3649 (= @t4970 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4146 (tptp.hAPP (tptp.hAPP @t4146 @t4967) (tptp.hAPP (tptp.hAPP @t4950 @t3085) @t2412))) @t3085))))) % 3.49/3.72 (assume @p3712 (forall @t4546 (=> (= @t4967 @t3762) @t4962))) % 3.49/3.72 (assume @p3713 (forall @t4546 (= @t4962 (tptp.c_Wellfounded_Owf @t10 @t4967)))) % 3.49/3.72 (assume @p3714 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t4972 (tptp.hAPP @t4971 @t404)))) % 3.49/3.72 (assume @p3715 (forall @t4882 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4881))) % 3.49/3.72 (assume @p3716 (forall @t2302 (=> @t4963 (not @t4503)))) % 3.49/3.72 (assume @p3717 (forall (@list @t349 @t168 @t1972 @t10) (=> @t4963 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3901 @t349)) @t1972)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3786 @t168)) @t1972))))))) % 3.49/3.72 (assume @p3718 (forall @t4973 (=> @t4963 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4499 @t4233))))) % 3.49/3.72 (assume @p3719 (forall @t4973 (=> @t4963 (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP (tptp.hAPP @t4498 @t4233) @t1972))))) % 3.49/3.72 (assume @p3720 (forall @t1975 (=> @t4963 (tptp.c_Wellfounded_Owf @t2309 (tptp.c_Wellfounded_Omax__ext @t10 @t1972))))) % 3.49/3.72 (assume @p3721 (tptp.c_Wellfounded_Owf @t2360 tptp.c_FunDef_Opair__less)) % 3.49/3.72 (assume @p3722 (forall @t4974 (=> @t4963 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t1553) @t1972)) (tptp.c_Wellfounded_Owf @t10 @t1553))))) % 3.49/3.72 (assume @p3723 (forall (@list @t32 @t33 @t18 @t1972 @t530 @t92 @t10) (= (tptp.c_Predicate_Opred__comp @t10 @t92 @t530 @t1972 @t18 @t33 @t32) (exists @t3814 (and (tptp.hBOOL (tptp.hAPP @t4975 @t2338)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 @t2338) @t32))))))) % 3.49/3.72 (assume @p3724 (forall @t1752 (tptp.c_Wellfounded_Owf @t2309 @t3918))) % 3.49/3.72 (assume @p3725 (forall @t1975 (=> @t4963 (tptp.c_Wellfounded_Owf @t2309 (tptp.c_Wellfounded_Omin__ext @t10 @t1972))))) % 3.49/3.72 (assume @p3726 (forall (@list @t2 @t2412 @t10) (=> @t4962 (tptp.c_Wellfounded_Owf @t10 @t3819)))) % 3.49/3.72 (assume @p3727 (forall @t1975 (= @t4963 (forall @t8 @t4654)))) % 3.49/3.72 (assume @p3728 (forall @t4650 (=> @t4963 @t4648))) % 3.49/3.72 (assume @p3729 (forall @t4882 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4883))) % 3.49/3.72 (assume @p3730 (forall @t1975 (= @t4963 (not (exists @t4177 (forall @t1187 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 (tptp.hAPP @t4176 @t1554)) @t4976)) @t1972)))))))) % 3.49/3.72 (assume @p3731 (forall (@list @t1261 @t2412 @t10) (=> @t4962 (=> (tptp.hBOOL (tptp.hAPP @t2440 (tptp.hAPP @t4977 @t1261))) @t3471)))) % 3.49/3.72 (assume @p3732 (forall @t3649 (=> @t4962 (=> @t4978 (=> @t4959 @t4970))))) % 3.49/3.72 (assume @p3733 (forall @t1752 (=> (tptp.class_Orderings_Owellorder @t10) (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4877 (tptp.hAPP @t4141 @t434)))))) % 3.49/3.72 (assume @p3734 (forall @t4824 (= @t4109 (and (tptp.c_Wellfounded_Owf @t10 @t4979) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t4950 @t4979) @t4980)) @t4979)))))) % 3.49/3.72 (assume @p3735 (forall (@list @t3085 @t2412 @t55 @t10) (=> @t4109 (=> (tptp.hBOOL (tptp.hAPP @t4982 @t4979)) (=> (tptp.hBOOL (tptp.hAPP @t4981 @t4980)) (=> @t4978 @t4970)))))) % 3.49/3.72 (assume @p3736 (forall @t4964 (=> @t4963 (=> @t4532 (tptp.c_Wellfounded_Owf @t92 (tptp.hAPP (tptp.c_Set_Oimage @t3759 @t3899 (tptp.c_Product__Type_Omap__pair @t10 @t92 @t10 @t92 @t2 @t2)) @t1972)))))) % 3.49/3.72 (assume @p3737 (forall @t1975 (=> @t4963 (tptp.c_Wellfounded_Owf @t4984 @t4983)))) % 3.49/3.72 (assume @p3738 (forall (@list @t10 @t1 @t2 @t55) (=> (forall @t8 (=> @t1095 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 (tptp.hAPP @t2 @t5)) @t6)))) (tptp.c_Wellfounded_Owf @t10 (tptp.hAPP @t4877 (tptp.hAPP @t4141 (tptp.hAPP (tptp.hAPP @t4285 @t4806) (tptp.hAPP @t4901 @t1)))))))) % 3.49/3.72 (assume @p3739 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t4972 (tptp.hAPP @t4971 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2184 tptp.tc_Nat_Onat) (tptp.hAPP @t2883 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 3.49/3.72 (assume @p3740 (forall @t1975 (=> @t4963 (tptp.c_Wellfounded_Owf @t4984 @t4985)))) % 3.49/3.72 (assume @p3741 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 3.49/3.72 (assume @p3742 (forall @t1975 (= @t4985 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t4988) @t3305) @t4986)))) % 3.49/3.72 (assume @p3743 (forall @t4990 (=> @t4963 (tptp.c_Wellfounded_Owf @t4984 @t4989)))) % 3.49/3.72 (assume @p3744 (forall @t1975 (= (tptp.hAPP @t4986 @t199) (tptp.c_Orderings_Obot__class_Obot @t4988)))) % 3.49/3.72 (assume @p3745 (forall (@list @t10 @t2412 @t92 @t55) (=> (forall @t8 (=> @t1095 (tptp.c_Wellfounded_Owf @t92 @t4544))) (tptp.c_Wellfounded_Owf @t2388 @t3915)))) % 3.49/3.72 (assume @p3746 (forall (@list @t55 @t10 @t92) (= (tptp.hAPP @t4992 (tptp.hAPP (tptp.c_Set_OCollect @t2625) @t4991)) (tptp.hAPP @t4800 (tptp.hAPP @t4908 (tptp.hAPP @t4902 @t55)))))) % 3.49/3.72 (assume @p3747 (forall @t4994 (=> @t4243 (tptp.hBOOL (tptp.hAPP @t3617 @t4993))))) % 3.49/3.72 (assume @p3748 (forall @t2536 (= (tptp.hAPP @t4995 @t4138) @t1261))) % 3.49/3.72 (assume @p3749 (forall @t4998 (= (= @t4997 @t3465) (= @t1972 @t4996)))) % 3.49/3.72 (assume @p3750 (forall @t4046 (= (tptp.hAPP @t4992 @t4996) @t3465))) % 3.49/3.72 (assume @p3751 (forall @t3482 (= (tptp.hAPP @t4992 (tptp.hAPP (tptp.hAPP @t4236 @t1261) @t1419)) (tptp.hAPP (tptp.hAPP @t3096 @t5000) @t4999)))) % 3.49/3.72 (assume @p3752 (forall @t5002 (=> @t5001 (tptp.hBOOL (tptp.hAPP @t3418 @t4993))))) % 3.49/3.72 (assume @p3753 (forall @t4207 (= (tptp.hAPP (tptp.c_Set_Oimage @t2625 @t10 @t2421) @t2412) (tptp.hAPP @t4992 @t2412)))) % 3.49/3.72 (assume @p3754 (forall @t5003 (= (tptp.hBOOL (tptp.hAPP @t3595 @t4997)) (exists @t270 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 (tptp.hAPP (tptp.hAPP @t2545 @t267) @t168)) @t1972)))))) % 3.49/3.72 (assume @p3755 (forall (@list @t1972 @t21 @t168 @t10 @t92) (= (tptp.hAPP @t4992 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2625) @t4247) @t1972)) (tptp.hAPP @t3364 @t4997)))) % 3.49/3.72 (assume @p3756 (forall @t3488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t4992 (tptp.hAPP (tptp.hAPP @t5004 @t1261) @t1419))) (tptp.hAPP (tptp.hAPP @t4324 @t5000) @t4999))))) % 3.49/3.72 (assume @p3757 (forall @t3488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP (tptp.hAPP @t2522 @t5000) @t4999)) (tptp.hAPP @t4992 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4235) @t1261) @t1419)))))) % 3.49/3.72 (assume @p3758 (forall @t3706 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t10 @t92 @t4961) @t349)) (tptp.hBOOL (tptp.hAPP @t3607 @t4993))))) % 3.49/3.72 (assume @p3759 (forall (@list @t1972 @t92 @t21 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3606 @t4997)) (not (forall @t8 (not @t4239)))))) % 3.49/3.72 (assume @p3760 (forall @t5006 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t5005 @t21))))) % 3.49/3.72 (assume @p3761 (forall (@list @t29 @t1972 @t92 @t10) (= (tptp.hBOOL (tptp.hAPP @t5005 @t29)) (exists @t403 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1972 @t402) @t29)))))) % 3.49/3.72 (assume @p3762 (forall @t4145 (=> @t4963 (=> (tptp.c_Wellfounded_Owf @t10 @t18) (=> (= (tptp.hAPP (tptp.hAPP @t4324 @t5008) (tptp.hAPP @t4995 @t18)) @t3465) (tptp.c_Wellfounded_Owf @t10 @t4148)))))) % 3.49/3.72 (assume @p3763 (forall @t1975 (= @t5009 (tptp.c_Wellfounded_Owf @t10 @t4884)))) % 3.49/3.72 (assume @p3764 (forall @t1752 (tptp.c_Wellfounded_OwfP @t10 (tptp.hAPP @t4714 @t4831)))) % 3.49/3.72 (assume @p3765 (forall @t4994 (=> @t4243 @t5012))) % 3.49/3.72 (assume @p3766 (forall @t2536 (= (tptp.hAPP @t5007 @t4138) @t1261))) % 3.49/3.72 (assume @p3767 (forall @t1975 (= @t5009 (forall @t1101 (tptp.hBOOL (tptp.hAPP @t2299 @t1099)))))) % 3.49/3.72 (assume @p3768 (forall @t4650 (=> @t5009 (tptp.hBOOL (tptp.hAPP @t2299 @t349))))) % 3.49/3.72 (assume @p3769 (forall @t4974 (=> @t5009 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2312 @t1553) @t1972)) (tptp.c_Wellfounded_OwfP @t10 @t1553))))) % 3.49/3.72 (assume @p3770 (forall @t5002 (= (= @t5011 @t3465) (= @t1972 @t3625)))) % 3.49/3.72 (assume @p3771 (forall @t3429 (= (tptp.hAPP @t5010 @t3625) @t3465))) % 3.49/3.72 (assume @p3772 (forall @t5014 (=> @t5013 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5011) (tptp.hAPP @t5010 @t18)))))) % 3.49/3.72 (assume @p3773 (forall @t3488 (= (tptp.hAPP @t5010 (tptp.hAPP (tptp.hAPP @t3643 @t1261) @t1419)) (tptp.hAPP (tptp.hAPP @t3096 @t5016) @t5015)))) % 3.49/3.72 (assume @p3774 (forall @t5002 (=> @t5001 (tptp.hBOOL (tptp.hAPP @t3349 @t5011))))) % 3.49/3.72 (assume @p3775 (forall @t5018 (= (tptp.hAPP @t5017 @t2412) (tptp.hAPP @t5010 @t2412)))) % 3.49/3.72 (assume @p3776 (forall @t5003 (= @t5012 (exists @t270 @t5019)))) % 3.49/3.72 (assume @p3777 (forall @t4994 (= (tptp.hAPP @t5010 (tptp.hAPP @t4735 @t1972)) (tptp.hAPP @t3361 @t5011)))) % 3.49/3.72 (assume @p3778 (forall @t3488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t5010 (tptp.hAPP (tptp.hAPP @t4478 @t1261) @t1419))) (tptp.hAPP (tptp.hAPP @t4324 @t5016) @t5015))))) % 3.49/3.72 (assume @p3779 (forall @t3488 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP (tptp.hAPP @t2522 @t5016) @t5015)) (tptp.hAPP @t5010 (tptp.hAPP (tptp.hAPP @t4682 @t1261) @t1419)))))) % 3.49/3.72 (assume @p3780 (forall @t1975 (= @t4133 (tptp.hAPP (tptp.hAPP @t3096 @t5008) @t5020)))) % 3.49/3.72 (assume @p3781 (forall @t4546 (=> @t4962 (tptp.c_Wellfounded_OwfP @t10 (tptp.c_FunDef_Oin__rel @t10 @t10 @t2412))))) % 3.49/3.72 (assume @p3782 (forall @t1975 (= (tptp.c_Wellfounded_OwfP @t10 @t4649) @t4963))) % 3.49/3.72 (assume @p3783 (forall @t2691 (= (tptp.hAPP @t5010 (tptp.hAPP @t4816 @t2690)) (tptp.hAPP @t4800 (tptp.hAPP @t4908 @t55))))) % 3.49/3.72 (assume @p3784 (forall @t3706 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t10 @t92 @t4961) @t349)) (tptp.hBOOL (tptp.hAPP @t3580 @t5011))))) % 3.49/3.72 (assume @p3785 (forall @t5003 (=> @t5012 (not (forall @t270 (not @t5019)))))) % 3.49/3.72 (assume @p3786 (forall @t5006 (=> @t2301 (tptp.hBOOL (tptp.hAPP @t5021 @t168))))) % 3.49/3.72 (assume @p3787 (forall (@list @t33 @t1972 @t92 @t10) (= (tptp.hBOOL (tptp.hAPP @t5021 @t33)) (exists @t1101 (tptp.hBOOL (tptp.hAPP @t4975 @t1099)))))) % 3.49/3.72 (assume @p3788 (forall @t1975 (=> @t5009 (tptp.c_Wellfounded_Oacyclic @t10 @t4884)))) % 3.49/3.72 (assume @p3789 (forall @t4283 (= (tptp.c_New__Random__Sequence_Oneg__map @t92 @t10 @t2 @t55) (tptp.c_New__Random__Sequence_Oneg__bind @t92 @t10 @t55 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2673) @t92 @t5022) @t2))))) % 3.49/3.72 (assume @p3790 (forall @t1975 (=> @t4963 @t5023))) % 3.49/3.72 (assume @p3791 (forall @t5024 (=> (tptp.c_Wellfounded_Oacyclic @t10 @t18) (=> @t4144 @t5023)))) % 3.49/3.72 (assume @p3792 (forall @t1975 (=> @t4150 (=> @t5023 @t4963)))) % 3.49/3.72 (assume @p3793 (forall @t1975 (=> @t4150 (= @t4963 @t5023)))) % 3.49/3.72 (assume @p3794 (forall @t5025 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5022 @t349) @t2613) @t2612) @t2611) (tptp.c_New__DSequence_Oneg__single @t10 @t349)))) % 3.49/3.72 (assume @p3795 (forall @t4283 (= (tptp.c_New__Random__Sequence_Opos__map @t92 @t10 @t2 @t55) (tptp.c_New__Random__Sequence_Opos__bind @t92 @t10 @t55 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2667) @t92 @t5026) @t2))))) % 3.49/3.72 (assume @p3796 (forall @t5027 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t66 @t101) @t2677) (tptp.c_Lazy__Sequence_Ohb__single @t66 @t101)))) % 3.49/3.72 (assume @p3797 (forall @t5025 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5026 @t349) @t2613) @t2612) @t2611) (tptp.c_New__DSequence_Opos__single @t10 @t349)))) % 3.49/3.72 (assume @p3798 (forall @t5027 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t66 @t101) @t2677) (tptp.c_Lazy__Sequence_Osingle @t66 @t101)))) % 3.49/3.72 (assume @p3799 (forall @t1975 (= (tptp.c_Nitpick_Owf_H @t10 @t1972) (and @t5023 (or @t4150 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 3.49/3.72 (assume @p3800 (forall @t3455 (=> @t3383 (=> (tptp.hBOOL (tptp.hAPP @t3418 @t3014)) (exists @t8 (and @t3039 (not (tptp.hBOOL (tptp.hAPP @t3349 (tptp.hAPP @t4800 (tptp.hAPP @t4623 (tptp.hAPP @t4604 @t6)))))))))))) % 3.49/3.72 (assume @p3801 (forall @t1759 (not (forall @t270 (=> (= @t349 @t5029) (not @t5028)))))) % 3.49/3.72 (assume @p3802 (forall (@list @t349 @t55) (=> (forall @t270 (=> @t5028 (tptp.hBOOL (tptp.hAPP @t55 @t5029)))) @t2687))) % 3.49/3.72 (assume @p3803 (forall @t3441 (=> @t3355 (=> @t4758 @t3440)))) % 3.49/3.72 (assume @p3804 (forall (@list @t316 @t3367) (=> (forall @t8 (=> @t3368 (tptp.hBOOL (tptp.hAPP @t1452 @t4)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3461 @t316) @t3367)))) % 3.49/3.72 (assume @p3805 (forall (@list @t10 @t1972 @t92) (=> (forall @t1187 (tptp.c_Wellfounded_OwfP @t92 @t5031)) (=> (forall @t1272 (=> (not (= @t5031 @t5030)) (= (tptp.hAPP (tptp.hAPP @t4411 (tptp.c_Predicate_ODomainP @t92 @t92 @t5031)) (tptp.c_Predicate_ORangeP @t92 @t92 @t5030)) @t3473))) (tptp.c_Wellfounded_OwfP @t92 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t10 (tptp.tc_fun @t92 @t2682)) @t3318) @t1972)))))) % 3.49/3.72 (assume @p3806 (forall @t3491 (=> (tptp.hBOOL (tptp.hAPP @t3349 @t4629)) (=> (not @t3428) (exists @t8 (= @t6 @t391)))))) % 3.49/3.72 (assume @p3807 (forall (@list @t1553 @t20 @t530 @t92 @t583 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3621 (tptp.hAPP @t3620 @t1553))) (not (forall @t2447 (=> (= @t1553 (tptp.hAPP (tptp.hAPP @t2382 @t4) @t267)) (not (tptp.hBOOL (tptp.hAPP @t3621 (tptp.hAPP (tptp.hAPP @t20 @t4) @t267)))))))))) % 3.49/3.72 (assume @p3808 (forall (@list @t20 @t583 @t530 @t92 @t10 @t1553) (=> (forall @t2344 (=> (= @t1553 @t2376) (tptp.hBOOL (tptp.hAPP @t5032 (tptp.hAPP (tptp.hAPP @t20 @t402) @t2338))))) (tptp.hBOOL (tptp.hAPP @t5032 (tptp.hAPP (tptp.hAPP @t2414 @t20) @t1553)))))) % 3.49/3.72 (assume @p3809 (forall @t2691 (= (tptp.c_Hilbert__Choice_OEps @t2388 @t2690) (tptp.c_Hilbert__Choice_OEps @t2388 @t2689)))) % 3.49/3.72 (assume @p3810 (forall (@list @t10 @t349 @t55) (=> @t2687 @t5034))) % 3.49/3.72 (assume @p3811 (forall (@list @t10 @t5035) (=> (exists @t8 (tptp.hBOOL (tptp.hAPP @t5035 @t4))) (tptp.hBOOL (tptp.hAPP @t5035 (tptp.c_Hilbert__Choice_OEps @t10 @t5035)))))) % 3.49/3.72 (assume @p3812 (forall @t5036 (=> @t1102 @t5034))) % 3.49/3.72 (assume @p3813 (forall @t5036 (= @t5034 @t1102))) % 3.49/3.72 (assume @p3814 (forall @t351 (= (tptp.c_Hilbert__Choice_OEps @t10 (tptp.hAPP @t2722 @t349)) @t349))) % 3.49/3.72 (assume @p3815 (forall @t351 (= (tptp.c_Hilbert__Choice_OEps @t10 @t2712) @t349))) % 3.49/3.72 (assume @p3816 (forall (@list @t10 @t20 @t55) (=> @t1102 (=> (= @t20 @t5033) (tptp.hBOOL (tptp.hAPP @t55 @t20)))))) % 3.49/3.72 (assume @p3817 (forall @t2720 (= (tptp.c_Hilbert__Choice_OEps @t2388 @t2719) @t2710))) % 3.49/3.72 (assume @p3818 (forall @t2691 (= (tptp.c_Hilbert__Choice_OEps @t2388 @t55) (tptp.c_Hilbert__Choice_OEps @t2388 @t2709)))) % 3.49/3.72 (assume @p3819 (forall @t4546 (=> (forall @t5037 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4186) (tptp.hAPP @t4977 @t4186))) (= @t4186 @t3465))) @t4962))) % 3.49/3.72 (assume @p3820 (forall (@list @t2527 @t1419 @t92 @t2521 @t1261 @t10) (=> @t2531 (=> (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t3226) (tptp.hAPP @t2527 @t4))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3711 @t4677) (tptp.hAPP (tptp.hAPP @t4669 @t2521) @t2527))))))) % 3.49/3.72 (assume @p3821 (forall @t4292 (=> (forall @t270 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5038 @t349)) @t1972)) (tptp.hBOOL (tptp.hAPP @t4282 @t4647)))) @t4648))) % 3.49/3.72 (assume @p3822 (forall @t5041 (=> (not (tptp.hBOOL (tptp.hAPP @t3580 @t5039))) (not (forall @t1409 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5040 @t349)) @t2412)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t1408) @t5039)))))))) % 3.49/3.72 (assume @p3823 (forall (@list @t2 @t3085 @t10 @t92) (=> @t3995 (=> @t3720 (=> (forall @t8 (=> @t4030 @t4155)) (= @t4597 @t4017)))))) % 3.49/3.72 (assume @p3824 (forall @t2536 (=> @t3355 (=> (=> @t3629 @t4480) @t3446)))) % 3.49/3.72 (assume @p3825 (forall (@list @t2412 @t29 @t33 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3921 (tptp.hAPP (tptp.hAPP @t3919 @t33) @t29)) @t4095)) (and @t4660 @t4659 @t4658 (forall @t8 (=> @t4657 (exists @t2975 (and @t4656 @t4662)))))))) % 3.49/3.72 (assume @p3826 (forall (@list @t583 @t205 @t1 @t1261 @t10 @t92) (=> @t4584 (=> @t3355 (=> (forall @t8 (=> @t3039 (= @t5 @t4115))) (= @t4582 (tptp.hAPP (tptp.hAPP @t4580 @t583) @t1261))))))) % 3.49/3.72 (assume @p3827 (forall (@list @t1 @t2 @t1261 @t1419 @t10 @t92) (=> @t4016 (=> @t3350 (=> @t2441 (=> (forall @t8 (=> @t3039 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4029 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP @t4035 @t4437)))))))) % 3.49/3.72 (assume @p3828 (forall @t3453 (=> @t622 (=> @t3355 (=> (forall @t270 (=> @t4471 (tptp.hBOOL (tptp.hAPP @t967 @t267)))) (=> @t3581 @t3865)))))) % 3.49/3.72 (assume @p3829 (forall @t3453 (=> @t622 (=> @t3355 (=> (forall @t270 (=> @t4471 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t267) @t349)))) (=> @t3581 @t3862)))))) % 3.49/3.72 (assume @p3830 (forall (@list @t2 @t1972 @t10) (=> @t4963 (not (forall @t524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t522))) (tptp.hAPP @t2 @t522))) @t1972))))))) % 3.49/3.72 (assume @p3831 (forall @t4574 (=> @t4204 (=> @t4526 (=> @t4573 (=> (forall @t403 (=> @t4197 (= (tptp.hAPP @t1 @t402) (tptp.hAPP @t205 (tptp.hAPP @t2 @t402))))) (= (tptp.hAPP @t4279 @t1419) (tptp.hAPP (tptp.hAPP @t4203 @t1) @t1261)))))))) % 3.49/3.72 (assume @p3832 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t5043 @t5042)) @t421))) % 3.49/3.72 (assume @p3833 (forall @t1975 (=> @t4963 (tptp.c_Wellfounded_Owf @t10 @t5044)))) % 3.49/3.72 (assume @p3834 (= tptp.c_Wellfounded_Oless__than @t5042)) % 3.49/3.72 (assume @p3835 (forall @t1975 (= @t5023 @t5045))) % 3.49/3.72 (assume @p3836 (forall @t4136 (=> @t4293 @t5046))) % 3.49/3.72 (assume @p3837 (forall @t1975 (tptp.hBOOL (tptp.hAPP @t5047 (tptp.hAPP (tptp.hAPP @t4715 @t4133) (tptp.hAPP @t4714 @t4133)))))) % 3.49/3.72 (assume @p3838 (forall @t5051 (=> @t5050 @t5049))) % 3.49/3.72 (assume @p3839 (forall @t1752 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t3762) @t3762))) % 3.49/3.72 (assume @p3840 (forall @t1975 (= (tptp.hAPP @t5007 @t5044) @t5008))) % 3.49/3.72 (assume @p3841 (forall @t1975 (= (tptp.hAPP @t4995 @t5044) @t5020))) % 3.49/3.72 (assume @p3842 (forall @t1975 (= (tptp.hBOOL (tptp.hAPP @t4149 @t5044)) @t4150))) % 3.49/3.72 (assume @p3843 (forall @t5057 (=> @t5046 @t5056))) % 3.49/3.72 (assume @p3844 (forall @t5057 (=> @t5046 @t5059))) % 3.49/3.72 (assume @p3845 (forall @t5057 (=> @t4293 @t5056))) % 3.49/3.72 (assume @p3846 (forall (@list @t20 @t2412 @t21 @t168 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4151 @t2412)) (=> (tptp.hBOOL (tptp.hAPP @t5055 @t2412)) (tptp.hBOOL (tptp.hAPP @t5052 @t5060)))))) % 3.49/3.72 (assume @p3847 (forall (@list @t18 @t1972 @t1553 @t10) (=> @t5049 (=> @t4144 (tptp.hBOOL (tptp.hAPP @t5048 (tptp.c_Transitive__Closure_Otrancl @t10 @t18))))))) % 3.49/3.72 (assume @p3848 (forall @t1975 (= @t5044 (tptp.hAPP @t4147 (tptp.hAPP (tptp.hAPP @t4950 @t5044) @t1972))))) % 3.49/3.72 (assume @p3849 (forall @t4750 (=> @t4717 (tptp.hBOOL (tptp.hAPP @t5047 @t4716))))) % 3.49/3.72 (assume @p3850 (forall @t4145 (=> @t4144 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t4498 @t5044) @t18)) @t1972)) @t18)) (tptp.hBOOL (tptp.hAPP @t5047 @t18)))))) % 3.49/3.72 (assume @p3851 (forall @t5065 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t5064) (tptp.hAPP @t5062 (tptp.hAPP @t4877 (tptp.hAPP @t4141 (tptp.hAPP (tptp.hAPP @t3518 (tptp.hAPP @t4491 (tptp.hAPP @t2714 (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP @t4097 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t10 @t3759) @t3765) @t610))) @t5061)))) (tptp.hAPP (tptp.hAPP @t4100 (tptp.hAPP @t4097 @t3786)) @t5061)))))))) % 3.49/3.72 (assume @p3852 (forall @t5068 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2311) @t4649) tptp.c_fequal) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3787 @t5067))))) % 3.49/3.72 (assume @p3853 (forall @t5051 (=> @t5050 (tptp.hBOOL (tptp.hAPP @t5048 @t5061))))) % 3.49/3.72 (assume @p3854 (forall @t4655 (tptp.hBOOL (tptp.hAPP @t4502 @t5061)))) % 3.49/3.72 (assume @p3855 (forall @t335 (tptp.hBOOL (tptp.hAPP @t4502 @t5066)))) % 3.49/3.72 (assume @p3856 (forall @t4136 (=> @t5046 @t5069))) % 3.49/3.72 (assume @p3857 (forall @t1975 (= @t5044 @t5070))) % 3.49/3.72 (assume @p3858 (forall @t1975 (= @t5044 @t5071))) % 3.49/3.72 (assume @p3859 (forall @t1975 (= (tptp.hAPP @t5062 @t5066) @t5061))) % 3.49/3.72 (assume @p3860 (forall @t1975 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t5067) @t5061))) % 3.49/3.72 (assume @p3861 (forall @t4546 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t5060) @t5072))) % 3.49/3.72 (assume @p3862 (forall @t4546 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t5072) @t5072))) % 3.49/3.72 (assume @p3863 (forall @t1975 (tptp.c_Relation_Orefl__on @t10 @t3318 @t5061))) % 3.49/3.72 (assume @p3864 (forall @t1975 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t5061) @t5061))) % 3.49/3.72 (assume @p3865 (forall @t5057 (=> @t5069 @t5075))) % 3.49/3.72 (assume @p3866 (forall @t5057 (=> @t5069 (=> @t5058 @t5073)))) % 3.49/3.72 (assume @p3867 (forall @t5057 (=> @t4293 @t5075))) % 3.49/3.72 (assume @p3868 (forall @t1975 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t5076) @t5061))) % 3.49/3.72 (assume @p3869 (forall (@list @t3085 @t2412 @t349 @t10) (=> (or (tptp.hBOOL (tptp.hAPP @t5078 @t5072)) (tptp.hBOOL (tptp.hAPP @t5078 @t5079))) (tptp.hBOOL (tptp.hAPP @t5078 @t5077))))) % 3.49/3.72 (assume @p3870 (forall (@list @t171 @t1972 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t4284 @t171)) @t171)) (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t5061) @t171) @t171)))) % 3.49/3.72 (assume @p3871 (forall @t3649 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t5081) @t5077)))) % 3.49/3.72 (assume @p3872 (forall @t4546 (= (tptp.c_Transitive__Closure_Ortrancl @t10 (tptp.hAPP @t4968 @t5066)) @t5072))) % 3.49/3.72 (assume @p3873 (forall @t3649 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t5081) @t5077))) % 3.49/3.72 (assume @p3874 (forall @t4546 (= (tptp.hAPP @t5080 @t5066) @t5072))) % 3.49/3.72 (assume @p3875 (forall @t4145 (=> (tptp.hBOOL (tptp.hAPP @t4143 @t5082)) @t5084))) % 3.49/3.72 (assume @p3876 (forall @t3649 (=> (tptp.hBOOL (tptp.hAPP @t4982 @t3085)) (=> (tptp.hBOOL (tptp.hAPP @t4981 @t5072)) (= @t5079 @t5072))))) % 3.49/3.72 (assume @p3877 (forall @t4145 (=> @t4144 @t5084))) % 3.49/3.72 (assume @p3878 (forall @t5024 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 @t5066) @t18)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3761 (tptp.hAPP (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t4498 @t5061) @t18)) @t1972)) @t18)) (tptp.hBOOL (tptp.hAPP @t5083 @t18)))))) % 3.49/3.72 (assume @p3879 (forall @t1975 (= @t5071 @t5070))) % 3.49/3.72 (assume @p3880 (forall @t4546 (= (tptp.hAPP (tptp.hAPP @t4950 @t5072) @t5072) @t5072))) % 3.49/3.72 (assume @p3881 (forall @t1975 (= @t5061 (tptp.hAPP (tptp.hAPP @t4146 @t5066) @t5070)))) % 3.49/3.72 (assume @p3882 (forall @t1752 (= (tptp.c_Transitive__Closure_Ortrancl @t10 @t3762) @t5066))) % 3.49/3.72 (assume @p3883 (forall @t4546 (= (tptp.hAPP @t4995 @t5072) @t3318))) % 3.49/3.72 (assume @p3884 (forall @t4546 (= (tptp.hAPP @t5007 @t5072) @t3318))) % 3.49/3.72 (assume @p3885 (forall @t5018 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t10 @t92) @t5066) @t2412) @t2412))) % 3.49/3.72 (assume @p3886 (forall @t5018 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t10 @t92 @t92) @t2412) (tptp.c_Relation_OId @t92)) @t2412))) % 3.49/3.72 (assume @p3887 (forall @t2536 (= (tptp.hAPP (tptp.c_Relation_OImage @t10 @t10 @t5066) @t1261) @t1261))) % 3.49/3.72 (assume @p3888 (forall @t708 (= (tptp.hBOOL (tptp.hAPP @t4151 @t5066)) @t703))) % 3.49/3.72 (assume @p3889 (forall (@list @t583 @t1972 @t610 @t349 @t10) (=> @t5086 (=> (tptp.hBOOL (tptp.hAPP @t4467 @t5044)) (tptp.hBOOL (tptp.hAPP @t5085 @t5044)))))) % 3.49/3.72 (assume @p3890 (forall @t5057 (=> @t5046 @t5087))) % 3.49/3.72 (assume @p3891 (forall @t5057 (=> @t5069 @t5059))) % 3.49/3.72 (assume @p3892 (forall (@list @t2412 @t21 @t168 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4151 @t5072)) (or @t703 (and @t813 (tptp.hBOOL (tptp.hAPP @t4151 @t5060))))))) % 3.49/3.72 (assume @p3893 (forall @t5057 (=> @t4293 @t5087))) % 3.49/3.72 (assume @p3894 (forall @t5090 (= @t5089 (or @t620 (and @t621 @t5088))))) % 3.49/3.72 (assume @p3895 (forall @t1752 (= (tptp.hAPP @t5007 @t5066) @t3318))) % 3.49/3.72 (assume @p3896 (forall @t1752 (= (tptp.hAPP @t4995 @t5066) @t3318))) % 3.49/3.72 (assume @p3897 (forall @t1752 (tptp.c_Relation_Orefl__on @t10 @t3318 @t5066))) % 3.49/3.72 (assume @p3898 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4059 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t2360)))) % 3.49/3.72 (assume @p3899 (forall (@list @t610 @t2412 @t349 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5007 @t2412)))) (= @t5089 @t620)))) % 3.49/3.72 (assume @p3900 (forall (@list @t1972 @t168 @t21 @t10) (=> @t5091 (=> @t4652 @t4653)))) % 3.49/3.72 (assume @p3901 (forall (@list @t21 @t1972 @t168 @t10) (=> @t4652 (=> @t5091 @t4653)))) % 3.49/3.72 (assume @p3902 (forall @t5065 (= (tptp.c_Wellfounded_Owf @t10 @t5064) (and @t4963 @t5092)))) % 3.49/3.72 (assume @p3903 (forall @t5065 (= (tptp.c_Wellfounded_Oacyclic @t10 @t5064) (and @t5023 @t5092)))) % 3.49/3.72 (assume @p3904 (forall @t1975 (tptp.c_Relation_Orefl__on @t10 @t3318 @t5067))) % 3.49/3.72 (assume @p3905 (forall @t1752 (= @t5066 (tptp.hAPP @t4877 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t3759) @t4898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3759 @t4099 @t2309) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3760 (tptp.tc_fun @t4099 @t2309) @t3759) (tptp.c_COMBB @t3759 tptp.tc_HOL_Obool @t10)) tptp.c_fequal)) @t4137)))))) % 3.49/3.72 (assume @p3906 (forall @t1975 (tptp.c_Relation_Oirrefl @t10 @t5076))) % 3.49/3.72 (assume @p3907 (forall @t341 (= (tptp.hBOOL (tptp.hAPP @t5043 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t942))) % 3.49/3.72 (assume @p3908 (forall (@list @t1261 @t1972 @t21 @t168 @t10) (=> @t5069 (=> @t4717 @t3664)))) % 3.49/3.72 (assume @p3909 (forall @t4650 (=> (= (tptp.hAPP (tptp.hAPP @t4498 @t5095) @t5061) @t3762) (not (tptp.hBOOL (tptp.hAPP @t5093 @t5044)))))) % 3.49/3.72 (assume @p3910 (forall (@list @t316 @t143 @t1972 @t2 @t10) (=> (forall @t1187 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 (tptp.hAPP @t2 @t1554)) @t1790)) @t5061))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 (tptp.hAPP @t2 @t1485)) @t4028)) @t5061))))) % 3.49/3.72 (assume @p3911 (forall @t1975 (= @t5096 (tptp.hAPP @t5094 @t5061)))) % 3.49/3.72 (assume @p3912 (forall @t1752 (= (tptp.hAPP @t5094 @t5066) @t5066))) % 3.49/3.72 (assume @p3913 (forall @t4998 (= @t4997 @t5099))) % 3.49/3.72 (assume @p3914 (forall @t5002 (= @t5099 @t4997))) % 3.49/3.72 (assume @p3915 (forall @t4998 (= (tptp.hAPP @t4992 @t5100) @t5011))) % 3.49/3.72 (assume @p3916 (forall @t4289 (=> @t4297 @t5102))) % 3.49/3.72 (assume @p3917 (forall @t5104 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t530 @t4235) @t3085) @t1972)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t530 @t3424) @t3085) @t5103)))) % 3.49/3.72 (assume @p3918 (forall @t4994 (=> @t5107 @t5106))) % 3.49/3.72 (assume @p3919 (forall @t4994 (=> @t4243 (tptp.hBOOL (tptp.hAPP @t5105 @t5100))))) % 3.49/3.72 (assume @p3920 (forall @t4994 (= @t5107 @t5106))) % 3.49/3.72 (assume @p3921 (forall @t4289 (= (tptp.c_Relation_Orefl__on @t10 @t1261 @t5095) @t4493))) % 3.49/3.72 (assume @p3922 (forall @t5109 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t5004 @t1972) @t18)) (tptp.hAPP (tptp.hAPP @t4478 @t5098) @t5108)))) % 3.49/3.72 (assume @p3923 (forall @t4998 (= (tptp.hAPP @t5097 @t5100) @t1972))) % 3.49/3.72 (assume @p3924 (forall @t1975 (= (tptp.hAPP @t4132 @t5095) @t4133))) % 3.49/3.72 (assume @p3925 (forall @t2536 (= (tptp.hAPP @t5094 @t4138) @t4138))) % 3.49/3.72 (assume @p3926 (forall (@list @t2 @t2412 @t92 @t10) (= (tptp.hAPP @t5094 (tptp.hAPP (tptp.hAPP @t4128 @t2412) @t2)) (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.c_Relation_Oconverse @t92 @t92) @t2412)) @t2)))) % 3.49/3.72 (assume @p3927 (forall @t5002 (= (tptp.hBOOL (tptp.hAPP @t3426 @t5098)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2625) @t1972))))) % 3.49/3.72 (assume @p3928 (forall @t5109 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP @t4236 @t1972) @t18)) (tptp.hAPP (tptp.hAPP @t3643 @t5098) @t5108)))) % 3.49/3.72 (assume @p3929 (forall (@list @t18 @t1972 @t530 @t10 @t92) (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t92 @t530 @t10) @t1972) @t18)) (tptp.hAPP (tptp.hAPP @t4939 (tptp.hAPP (tptp.c_Relation_Oconverse @t530 @t10) @t18)) (tptp.hAPP (tptp.c_Relation_Oconverse @t92 @t530) @t1972))))) % 3.49/3.72 (assume @p3930 (forall @t1975 (= (tptp.c_Wellfounded_Oacyclic @t10 @t5095) @t5023))) % 3.49/3.72 (assume @p3931 (forall @t1975 (=> @t5111 (tptp.c_Wellfounded_Owf @t10 @t5110)))) % 3.49/3.72 (assume @p3932 (forall @t1975 (= @t5112 @t5110))) % 3.49/3.72 (assume @p3933 (forall @t5065 (=> @t5114 @t5113))) % 3.49/3.72 (assume @p3934 (forall @t5115 (=> @t5113 @t5114))) % 3.49/3.72 (assume @p3935 (forall @t5115 (=> @t5117 @t5116))) % 3.49/3.72 (assume @p3936 (forall @t5115 (=> @t5116 @t5117))) % 3.49/3.72 (assume @p3937 (forall (@list @t1419 @t1261 @t1972 @t92 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4240) @t1419)) (tptp.hBOOL (tptp.hAPP @t4722 (tptp.hAPP @t3332 (tptp.hAPP (tptp.c_Relation_OImage @t10 @t92 @t5098) @t2534))))))) % 3.49/3.72 (assume @p3938 (forall @t4289 (=> @t4493 (tptp.hBOOL (tptp.hAPP @t4143 @t5101))))) % 3.49/3.72 (assume @p3939 (forall @t4750 (=> @t5102 (=> (= @t5008 @t1261) @t4297)))) % 3.49/3.72 (assume @p3940 (forall @t1975 (=> @t4150 (=> @t5023 @t5111)))) % 3.49/3.72 (assume @p3941 (forall @t4998 (= @t5098 (tptp.hAPP @t4816 (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4235 @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5118 (tptp.tc_fun @t4235 @t2682) @t10) (tptp.c_COMBC @t92 @t4235 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t92 @t2625) @t5118 @t10) (tptp.hAPP (tptp.c_COMBB @t2625 @t4856 @t92) @t4238)) @t4598))) @t1972)))))) % 3.49/3.72 (assume @p3942 (forall @t4289 (= (tptp.c_Relation_Ototal__on @t10 @t1261 @t5076) @t5119))) % 3.49/3.72 (assume @p3943 (forall @t5123 (=> @t5122 (tptp.hBOOL (tptp.hAPP @t5048 @t5121))))) % 3.49/3.72 (assume @p3944 (forall @t4546 (= @t5124 @t5066))) % 3.49/3.72 (assume @p3945 (forall @t5123 (= @t5122 (exists @t17 @t5125)))) % 3.49/3.72 (assume @p3946 (forall (@list @t2412 @t19 @t1553 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5048 @t5126)) @t5122))) % 3.49/3.72 (assume @p3947 (forall @t4546 (= (tptp.hAPP (tptp.hAPP @t5120 @t773) @t2412) @t2412))) % 3.49/3.72 (assume @p3948 (forall @t5128 (= (tptp.hAPP @t4958 @t5126) @t5127))) % 3.49/3.72 (assume @p3949 (forall @t5130 (= @t5129 @t5127))) % 3.49/3.72 (assume @p3950 (forall (@list @t2412 @t19 @t314 @t10) (= (tptp.hAPP (tptp.hAPP @t5120 @t340) @t2412) (tptp.hAPP (tptp.hAPP @t4950 (tptp.hAPP (tptp.hAPP @t5120 @t314) @t2412)) @t5126)))) % 3.49/3.72 (assume @p3951 (forall @t2928 (= (tptp.hAPP @t5133 @t5132) (tptp.hAPP (tptp.hAPP @t5131 @t936) @t2)))) % 3.49/3.72 (assume @p3952 (forall (@list @t349 @t19 @t10 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t5134 @t349)) (tptp.hAPP @t5134 @t566)))) % 3.49/3.72 (assume @p3953 (forall @t5130 (=> (tptp.c_Wellfounded_Owf @t10 @t5126) @t4962))) % 3.49/3.72 (assume @p3954 (forall (@list @t2 @t19 @t92 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t956 @t956) @t19) (tptp.c_Fun_Ocomp @t92 @t92 @t10 @t2)) (tptp.c_Fun_Ocomp @t92 @t92 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t92 @t92) @t19) @t2))))) % 3.49/3.72 (assume @p3955 (forall @t1975 (tptp.c_Relation_Ototal__on @t10 @t3465 @t1972))) % 3.49/3.72 (assume @p3956 (forall @t4289 (= (tptp.c_Relation_Ototal__on @t10 @t1261 @t5095) @t5119))) % 3.49/3.72 (assume @p3957 (forall @t5090 (=> (tptp.hBOOL (tptp.hAPP @t3787 @t5124)) @t620))) % 3.49/3.72 (assume @p3958 (forall @t5041 (tptp.hBOOL (tptp.hAPP @t5093 @t5124)))) % 3.49/3.72 (assume @p3959 (forall (@list @t19 @t583 @t2412 @t610 @t349 @t10) (=> @t3821 (=> (tptp.hBOOL (tptp.hAPP @t4467 @t5126)) @t5135)))) % 3.49/3.72 (assume @p3960 (forall (@list @t583 @t2412 @t19 @t610 @t349 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3787 @t5126)) (=> (tptp.hBOOL (tptp.hAPP @t4467 @t2412)) @t5135)))) % 3.49/3.72 (assume @p3961 (forall (@list @t2 @t19 @t10) (= (tptp.hAPP (tptp.hAPP @t5131 @t48) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t2) @t5134)))) % 3.49/3.72 (assume @p3962 (forall @t2900 (= (tptp.hAPP (tptp.hAPP @t5131 @t340) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t10 @t5132) @t5134)))) % 3.49/3.72 (assume @p3963 (forall @t2903 (= (tptp.hAPP (tptp.hAPP @t5131 @t199) @t2) @t4922))) % 3.49/3.72 (assume @p3964 (forall @t5123 (= (tptp.hBOOL (tptp.hAPP @t5048 @t5060)) (exists @t17 (and @t666 @t5125))))) % 3.49/3.72 (assume @p3965 (forall @t4289 (= @t5119 (forall @t8 (=> @t3039 (forall @t2975 (=> @t3405 (=> @t3404 (or (tptp.hBOOL (tptp.hAPP @t4661 @t1972)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 @t2967) @t4)) @t1972))))))))))) % 3.49/3.72 (assume @p3966 (forall @t4546 (= @t5072 @t5121))) % 3.49/3.72 (assume @p3967 (forall @t1752 (= (tptp.c_Nat_Ofunpow @t10) @t5131))) % 3.49/3.72 (assume @p3968 (forall @t5143 (=> @t5142 (=> @t5141 (not (forall @t5140 (=> @t520 (=> @t5139 (not (tptp.hBOOL (tptp.hAPP @t5137 @t5136))))))))))) % 3.49/3.72 (assume @p3969 (forall @t5143 (=> @t5142 (=> @t5141 (not (forall @t5140 (=> @t520 (=> (tptp.hBOOL (tptp.hAPP @t5138 @t5136)) @t5144)))))))) % 3.49/3.72 (assume @p3970 (forall @t1975 (=> @t5045 @t5023))) % 3.49/3.72 (assume @p3971 (forall @t4420 (=> (tptp.c_Relation_Osingle__valued @t10 @t92 (tptp.hAPP @t5097 @t2412)) (= @t4419 @t4418)))) % 3.49/3.72 (assume @p3972 (forall @t5149 (=> @t5148 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3766 @t21)) @t5145)) (forall @t270 (=> (tptp.hBOOL (tptp.hAPP @t5147 @t51)) @t4551)))) @t5146)))) % 3.49/3.72 (assume @p3973 (forall @t2536 (tptp.c_Relation_Osingle__valued @t10 @t10 @t4138))) % 3.49/3.72 (assume @p3974 (forall @t5014 (=> @t5013 (=> (tptp.c_Relation_Osingle__valued @t10 @t92 @t18) @t5150)))) % 3.49/3.72 (assume @p3975 (forall (@list @t18 @t530 @t1972 @t92 @t10) (=> @t5150 (=> (tptp.c_Relation_Osingle__valued @t92 @t530 @t18) (tptp.c_Relation_Osingle__valued @t10 @t530 @t4942))))) % 3.49/3.72 (assume @p3976 (forall @t1752 (tptp.c_Relation_Osingle__valued @t10 @t10 @t5066))) % 3.49/3.72 (assume @p3977 (forall @t5128 (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t2412) (tptp.c_Relation_Osingle__valued @t10 @t10 @t5126)))) % 3.49/3.72 (assume @p3978 (forall (@list @t583 @t610 @t349 @t1972 @t92 @t10) (=> @t5150 (=> (tptp.hBOOL (tptp.hAPP @t3626 @t1972)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 (tptp.hAPP @t2372 @t583)) @t1972)) @t818))))) % 3.49/3.72 (assume @p3979 (forall @t5002 (= @t5150 (forall @t2447 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 @t4760) @t1972)) (forall @t1409 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 @t5151) @t1972)) (= @t267 @t1408)))))))) % 3.49/3.72 (assume @p3980 (forall (@list @t583 @t610 @t349 @t1972 @t10) (=> (tptp.c_Relation_Osingle__valued @t10 @t10 @t1972) (=> @t5086 (=> (tptp.hBOOL (tptp.hAPP @t5085 @t5061)) (or (tptp.hBOOL (tptp.hAPP @t4467 @t5061)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 @t583) @t610)) @t5061)))))))) % 3.49/3.72 (assume @p3981 (forall @t5149 (=> @t5148 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3901 @t4)) @t5145)) (forall @t270 (=> (tptp.hBOOL (tptp.hAPP @t4469 @t51)) @t4281)))) @t5146)))) % 3.49/3.72 (assume @p3982 (forall @t5143 (=> @t5135 (not (forall @t270 (=> (tptp.hBOOL (tptp.hAPP @t5138 @t5126)) @t5144)))))) % 3.49/3.72 (assume @p3983 (forall @t5143 (=> @t5135 (exists @t270 (and @t5139 @t5152))))) % 3.49/3.72 (assume @p3984 (forall @t5143 (=> @t5135 (not (forall @t270 (=> @t5139 (not @t5152))))))) % 3.49/3.72 (assume @p3985 (forall @t5090 (=> @t5088 (exists @t1409 (and (tptp.hBOOL (tptp.hAPP @t5154 @t5072)) (tptp.hBOOL (tptp.hAPP @t5153 @t2412))))))) % 3.49/3.72 (assume @p3986 (forall @t5090 (=> @t5088 (exists @t1409 (and (tptp.hBOOL (tptp.hAPP @t5154 @t2412)) (tptp.hBOOL (tptp.hAPP @t5153 @t5072))))))) % 3.49/3.72 (assume @p3987 (forall (@list @t1553 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5048 @t5066)) (not (forall @t8 (not (= @t1553 @t3767))))))) % 3.49/3.72 (assume @p3988 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 (= @t3926 @t5156)))))) % 3.49/3.72 (assume @p3989 (forall (@list @t18 @t1261 @t3389 @t2 @t92 @t10) (=> @t4261 (=> @t3355 (= (tptp.hAPP @t3793 @t18) (tptp.hAPP (tptp.hAPP @t5157 @t18) @t1261)))))) % 3.49/3.72 (assume @p3990 (forall @t4864 (= @t4541 (tptp.c_Finite__Set_Ofold @t92 @t10 @t4599)))) % 3.49/3.72 (assume @p3991 (forall (@list @t583 @t2 @t10 @t92) (= (tptp.hAPP @t5158 @t3473) @t583))) % 3.49/3.72 (assume @p3992 (forall (@list @t1261 @t583 @t2 @t10 @t92) (= (tptp.hAPP @t5158 @t1261) (tptp.c_HOL_OThe @t10 (tptp.c_Finite__Set_Ofold__graph @t92 @t10 @t2 @t583 @t1261))))) % 3.49/3.72 (assume @p3993 (forall @t2442 (=> @t3355 (= @t3113 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t2309 @t3360) @t1419) @t1261))))) % 3.49/3.72 (assume @p3994 (forall @t5162 (=> @t3163 (=> @t3355 (= (tptp.hAPP @t5160 @t3414) (tptp.hAPP @t4500 @t5161)))))) % 3.49/3.72 (assume @p3995 (forall @t5162 (=> @t4372 (=> @t3355 (= (tptp.hAPP @t5164 @t3414) (tptp.hAPP @t4423 @t5165)))))) % 3.49/3.72 (assume @p3996 (forall @t5162 (=> @t622 (=> @t3355 (= (tptp.hAPP @t5167 @t3414) (tptp.hAPP @t3929 @t5168)))))) % 3.49/3.72 (assume @p3997 (forall @t5162 (=> @t622 (=> @t3355 (= (tptp.hAPP @t5169 @t3414) (tptp.hAPP @t3939 @t5170)))))) % 3.49/3.72 (assume @p3998 (forall @t5176 (=> @t4812 (=> @t3355 @t5175)))) % 3.49/3.72 (assume @p3999 (forall @t5176 (=> @t4812 (=> @t3355 @t5178)))) % 3.49/3.72 (assume @p4000 (forall @t3245 (=> @t3244 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t5179 @t1419) @t3243) (tptp.hAPP (tptp.hAPP @t5180 @t1419) @t1261)))))) % 3.49/3.72 (assume @p4001 (forall (@list @t168 @t1261 @t3389 @t2 @t10) (=> @t4194 (=> @t3355 (= (tptp.hAPP @t3389 @t3414) (tptp.hAPP (tptp.hAPP @t5181 @t168) @t1261)))))) % 3.49/3.72 (assume @p4002 (forall @t5183 (=> @t3163 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5182) @t5161))))))) % 3.49/3.72 (assume @p4003 (forall @t5183 (=> @t4372 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5165) @t5184))))))) % 3.49/3.72 (assume @p4004 (forall @t5183 (=> @t622 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5168) (tptp.hAPP @t3929 @t21)))))))) % 3.49/3.72 (assume @p4005 (forall @t5183 (=> @t622 (=> @t3355 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t3939 @t21)) @t5170))))))) % 3.49/3.72 (assume @p4006 (forall @t3416 (=> @t4748 (=> @t3355 @t5185)))) % 3.49/3.72 (assume @p4007 (forall @t3416 (=> @t3156 (=> @t3355 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t3414) (tptp.hAPP (tptp.hAPP @t5159 @t168) @t1261)))))) % 3.49/3.72 (assume @p4008 (forall @t3416 (=> @t3156 (=> @t3355 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t3414) (tptp.hAPP (tptp.hAPP @t5163 @t168) @t1261)))))) % 3.49/3.72 (assume @p4009 (forall @t3416 (=> @t622 (=> @t3355 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t3414) @t5186))))) % 3.49/3.72 (assume @p4010 (forall @t3416 (=> @t622 (=> @t3355 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t3414) @t5187))))) % 3.49/3.72 (assume @p4011 (forall @t3416 (=> @t622 (=> @t3355 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t3414) @t5186))))) % 3.49/3.72 (assume @p4012 (forall @t3416 (=> @t622 (=> @t3355 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t3414) @t5187))))) % 3.49/3.72 (assume @p4013 (forall @t2442 (=> @t3355 (= @t3158 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t10 @t2309 @t4786) @t1419) @t1261))))) % 3.49/3.72 (assume @p4014 (forall @t3802 (=> @t3801 (=> @t3355 (=> @t3667 (= @t3809 (tptp.hAPP (tptp.hAPP @t5181 @t349) @t1261))))))) % 3.49/3.72 (assume @p4015 (forall @t3386 (=> @t3244 (=> @t3355 (= @t3243 (tptp.hAPP (tptp.hAPP @t5180 (tptp.c_Orderings_Obot__class_Obot @t92)) @t1261)))))) % 3.49/3.72 (assume @p4016 (forall @t3416 (=> @t4632 (=> @t3355 (=> @t3628 @t5185))))) % 3.49/3.72 (assume @p4017 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3667 (= @t3850 (tptp.hAPP (tptp.hAPP @t5159 @t349) @t1261))))))) % 3.49/3.72 (assume @p4018 (forall @t3453 (=> @t3156 (=> @t3355 (=> @t3667 (= @t4504 (tptp.hAPP (tptp.hAPP @t5163 @t349) @t1261))))))) % 3.49/3.72 (assume @p4019 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 (= @t3879 @t5188)))))) % 3.49/3.72 (assume @p4020 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 (= @t3881 @t5156)))))) % 3.49/3.72 (assume @p4021 (forall @t3453 (=> @t622 (=> @t3355 (=> @t3667 (= @t3936 @t5188)))))) % 3.49/3.72 (assume @p4022 (forall @t5191 (=> @t5190 (=> @t3355 (=> @t3581 (= @t5172 @t5189)))))) % 3.49/3.72 (assume @p4023 (forall @t5176 (=> @t5190 (=> @t3355 (= @t5174 @t5189))))) % 3.49/3.72 (assume @p4024 (forall @t4533 (=> @t5190 (tptp.c_Finite__Set_Ofun__left__comm @t530 @t92 @t4833)))) % 3.49/3.72 (assume @p4025 (forall @t3958 (=> @t5190 (= (tptp.hAPP @t566 (tptp.hAPP @t2371 @t583)) (tptp.hAPP @t2371 @t4834))))) % 3.49/3.72 (assume @p4026 (forall @t1752 (=> @t4632 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t10 @t704)))) % 3.49/3.72 (assume @p4027 (forall @t4644 (=> @t5190 (=> @t4634 (=> @t4641 @t3371))))) % 3.49/3.72 (assume @p4028 (forall @t3959 (=> @t5190 (= @t4264 @t4265)))) % 3.49/3.72 (assume @p4029 (forall @t5191 (=> @t5190 (=> @t3355 (= @t5173 @t5177))))) % 3.49/3.72 (assume @p4030 (forall (@list @t610 @t1261 @t583 @t2 @t92 @t10) (=> @t5190 (=> @t4641 (= @t5172 @t610))))) % 3.49/3.72 (assume @p4031 (forall (@list @t583 @t1261 @t2 @t92 @t10) (=> @t5190 (=> @t3355 (tptp.hBOOL (tptp.hAPP @t4633 @t5172)))))) % 3.49/3.72 (assume @p4032 (forall @t5191 (=> @t5190 (=> @t3355 (=> @t3667 @t5175))))) % 3.49/3.72 (assume @p4033 (forall @t5191 (=> @t5190 (=> @t3355 (=> @t3667 @t5178))))) % 3.49/3.72 (assume @p4034 (forall (@list @t168 @t610 @t1261 @t583 @t2 @t92 @t10) (=> @t5190 (=> @t4641 (=> @t3596 (exists (@list @t5192) (and (= @t610 (tptp.hAPP @t2354 @t5192)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t10 @t92 @t2 @t583 @t3494) @t5192))))))))) % 3.49/3.72 (assume @p4035 (forall @t3386 (=> @t3244 (=> @t3355 (= @t5197 (tptp.hAPP (tptp.hAPP @t5194 (tptp.c_Orderings_Otop__class_Otop @t92)) @t1261)))))) % 3.49/3.72 (assume @p4036 (forall @t5204 (=> @t5203 (=> (not @t5199) (not @t5198))))) % 3.49/3.72 (assume @p4037 (forall @t5204 (=> @t5203 (=> @t5198 @t5199)))) % 3.49/3.72 (assume @p4038 (forall @t5209 (=> @t5208 (=> (not @t3616) @t3628)))) % 3.49/3.72 (assume @p4039 (forall @t5209 (=> @t5208 (=> @t3596 @t3616)))) % 3.49/3.72 (assume @p4040 (forall @t5212 (=> @t5211 (=> @t3596 @t3594)))) % 3.49/3.72 (assume @p4041 (forall @t5212 (=> @t5211 (=> (not @t3594) @t3628)))) % 3.49/3.72 (assume @p4042 (forall (@list @t1261 @t92 @t3286 @t10) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t2726 @t3286)) (tptp.hBOOL (tptp.hAPP @t3418 @t2724)))) (tptp.hBOOL (tptp.hAPP @t3418 @t5213))))) % 3.49/3.72 (assume @p4043 (forall @t3255 (= @t5217 @t5216))) % 3.49/3.72 (assume @p4044 (forall @t4401 (= @t5216 @t5217))) % 3.49/3.72 (assume @p4045 (forall @t3283 (= (tptp.hAPP @t5201 (tptp.hAPP (tptp.hAPP @t3282 (tptp.hAPP (tptp.hAPP @t3281 @t5218) @t1419)) @t2521)) (tptp.hAPP (tptp.hAPP @t5218 @t3279) @t2521)))) % 3.49/3.72 (assume @p4046 (forall @t3277 (= (tptp.hAPP (tptp.hAPP @t5200 @t3276) @t2521) (tptp.hAPP @t5219 (tptp.hAPP (tptp.hAPP @t3273 (tptp.hAPP (tptp.hAPP @t3272 @t5200) @t1419)) @t2521))))) % 3.49/3.72 (assume @p4047 (forall @t3488 (= (tptp.hAPP @t2532 @t5202) (tptp.hAPP @t3265 @t5220)))) % 3.49/3.72 (assume @p4048 (forall @t3488 (= (tptp.hAPP @t2532 @t3266) (tptp.hAPP @t5201 @t5220)))) % 3.49/3.72 (assume @p4049 (forall (@list @t55 @t1261 @t92 @t10) (= (tptp.hAPP @t4800 (tptp.hAPP @t5222 (tptp.hAPP @t5221 @t55))) (tptp.hAPP @t5201 (tptp.hAPP @t4846 (tptp.hAPP @t4603 @t55)))))) % 3.49/3.72 (assume @p4050 (forall (@list @t168 @t2 @t1261 @t92 @t10) (=> @t3285 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 (tptp.hAPP @t5224 @t2)) @t168)) (exists @t8 (and @t3264 (tptp.hBOOL (tptp.hAPP @t3004 @t168)))))))) % 3.49/3.72 (assume @p4051 (forall @t3302 (= (tptp.hAPP @t5225 @t5227) (tptp.hAPP (tptp.hAPP @t4324 @t5226) (tptp.hAPP @t5225 @t1419))))) % 3.49/3.72 (assume @p4052 (forall @t3482 (= (= @t5202 @t3318) @t5228))) % 3.49/3.72 (assume @p4053 (forall @t3488 (= (= @t3318 @t5202) @t5228))) % 3.49/3.72 (assume @p4054 (forall @t3488 (= (tptp.hAPP @t4165 @t5202) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t92 @t2729) @t1261) @t4181)))) % 3.49/3.72 (assume @p4055 (forall @t3260 (=> @t3259 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t92 @t2828) @t1261) @t2) @t349) (tptp.hAPP @t5224 @t3256))))) % 3.49/3.72 (assume @p4056 (forall @t3270 (=> @t3259 (= (tptp.hAPP @t5224 (tptp.hAPP (tptp.hAPP @t3269 @t5229) @t2)) (tptp.hAPP @t5229 (tptp.hAPP (tptp.hAPP @t3267 @t5224) @t2826)))))) % 3.49/3.72 (assume @p4057 (forall @t1752 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t10)))) % 3.49/3.72 (assume @p4058 (forall @t3670 (= @t5203 (forall @t8 (=> @t3264 @t3669))))) % 3.49/3.72 (assume @p4059 (forall @t3699 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5210 @t3318) @t3698) @t349) @t610)) (tptp.hBOOL (tptp.hAPP @t3693 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t10 @t3691) @t3318) @t1972)))))) % 3.49/3.72 (assume @p4060 (forall @t3710 (=> @t3709 (= (tptp.hAPP (tptp.hAPP @t4411 @t3708) @t5213) @t5213)))) % 3.49/3.72 (assume @p4061 (forall @t3706 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5230 @t3705) @t349)) (tptp.hBOOL (tptp.hAPP @t3607 (tptp.hAPP @t5230 @t1972)))))) % 3.49/3.72 (assume @p4062 (forall @t4617 (= (tptp.hAPP @t4605 @t5232) (tptp.hAPP @t5219 @t4616)))) % 3.49/3.72 (assume @p4063 (forall @t3294 (= (tptp.hAPP @t5201 @t3293) (tptp.hAPP (tptp.hAPP @t5218 @t3291) @t1419)))) % 3.49/3.72 (assume @p4064 (forall @t3298 (= (tptp.hAPP (tptp.hAPP @t5200 @t3297) @t1419) (tptp.hAPP @t5219 @t3296)))) % 3.49/3.72 (assume @p4065 (forall (@list @t1419 @t1261 @t530 @t1972 @t92 @t10) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5234) @t5233)))) % 3.49/3.72 (assume @p4066 (forall @t3702 (=> @t3596 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3009 @t5207) @t3393))))) % 3.49/3.72 (assume @p4067 (forall (@list @t3214 @t1261 @t92 @t1524 @t10) (=> @t3259 (= (tptp.hBOOL (tptp.hAPP @t5235 (tptp.hAPP @t5224 @t3214))) (forall @t8 (=> @t3264 (tptp.hBOOL (tptp.hAPP @t5235 @t3284)))))))) % 3.49/3.72 (assume @p4068 (forall (@list @t1419 @t168 @t2521 @t10 @t92) (= @t5237 @t5236))) % 3.49/3.72 (assume @p4069 (forall (@list @t1419 @t2521 @t92 @t168 @t10) (= @t5236 @t5237))) % 3.49/3.72 (assume @p4070 (forall @t4398 (= (tptp.hBOOL (tptp.hAPP @t2438 @t5226)) (forall @t8 (=> @t3287 (tptp.hBOOL (tptp.hAPP @t2438 @t2724))))))) % 3.49/3.72 (assume @p4071 (forall @t3701 (=> @t3700 (= (tptp.hAPP @t5206 @t3509) (tptp.hAPP @t3379 @t5207))))) % 3.49/3.72 (assume @p4072 (forall @t3395 (= (tptp.hAPP (tptp.hAPP @t5200 @t3394) @t1419) (tptp.hAPP (tptp.hAPP @t4324 @t3393) @t5202)))) % 3.49/3.72 (assume @p4073 (forall @t3480 (=> @t3244 (=> @t3479 (= (tptp.hAPP @t5196 @t3478) @t3214))))) % 3.49/3.72 (assume @p4074 (forall @t3526 (and (=> @t3514 (= @t5240 @t1261)) (=> @t3515 (= @t5240 @t5239))))) % 3.49/3.72 (assume @p4075 (forall @t3526 (and (=> @t3514 (= @t5243 @t1419)) (=> @t3515 (= @t5243 @t5241))))) % 3.49/3.72 (assume @p4076 (forall @t3486 (and (=> @t3471 (= @t5244 @t3322)) (=> @t3479 (= @t5244 @t20))))) % 3.49/3.72 (assume @p4077 (forall (@list @t1419 @t10 @t92) (= (tptp.hAPP (tptp.hAPP @t5200 @t3473) @t1419) @t3318))) % 3.49/3.72 (assume @p4078 (forall @t4394 (= (tptp.hAPP (tptp.hAPP @t3096 @t5226) (tptp.hAPP @t5245 @t1419)) (tptp.hAPP @t5225 (tptp.hAPP (tptp.hAPP @t4393 @t5245) (tptp.hAPP (tptp.hAPP @t4390 (tptp.hAPP @t4389 @t3299)) @t1419)))))) % 3.49/3.72 (assume @p4079 (forall @t3254 (= @t5247 @t5246))) % 3.49/3.72 (assume @p4080 (forall @t4398 (= (tptp.hAPP @t3129 @t5226) (tptp.hAPP @t5225 (tptp.hAPP (tptp.hAPP @t4397 @t3129) @t1261))))) % 3.49/3.72 (assume @p4081 (forall @t4401 (= @t5249 @t5248))) % 3.49/3.72 (assume @p4082 (forall @t3255 (= @t5246 @t5247))) % 3.49/3.72 (assume @p4083 (forall @t3255 (= @t5248 @t5249))) % 3.49/3.72 (assume @p4084 (forall @t3304 (= (tptp.hAPP (tptp.hAPP @t5200 @t3125) @t3214) (tptp.hAPP (tptp.hAPP @t4324 (tptp.hAPP @t5201 @t3214)) (tptp.hAPP (tptp.hAPP @t5200 @t1419) @t3214))))) % 3.49/3.72 (assume @p4085 (forall @t5104 (= (tptp.hAPP @t5097 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t530 @t4235) @t3085) @t1972)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t530 @t3424) @t3085) @t5103)))) % 3.49/3.72 (assume @p4086 (forall @t3245 (=> @t3244 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 (tptp.hAPP (tptp.hAPP @t5195 @t1419) @t2)) @t5197)))))) % 3.49/3.72 (assume @p4087 (forall @t3482 (= @t5202 (tptp.hAPP @t4800 (tptp.hAPP @t5222 (tptp.hAPP @t5221 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t3271 @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2729 (tptp.tc_fun @t3271 @t2682) @t10) @t4903) @t2725)) @t1419))))))) % 3.49/3.72 (assume @p4088 (forall @t3526 (and (=> @t3514 (= @t5239 @t3322)) (=> @t3515 (= @t5239 @t5240))))) % 3.49/3.72 (assume @p4089 (forall @t3526 (and (=> @t3514 (= @t5241 @t3322)) (=> @t3515 (= @t5241 @t5243))))) % 3.49/3.72 (assume @p4090 (forall @t3526 (and (=> @t3514 (= @t5251 (tptp.hAPP (tptp.hAPP @t3028 @t3322) @t1419))) (=> @t3515 (= @t5251 @t5250))))) % 3.49/3.72 (assume @p4091 (forall @t3526 (and (=> @t3514 (= @t5250 @t3322)) (=> @t3515 (= @t5250 @t5251))))) % 3.49/3.72 (assume @p4092 (forall @t3526 (and (=> @t3514 (= @t5253 @t1261)) (=> @t3515 (= @t5253 @t5252))))) % 3.49/3.72 (assume @p4093 (forall @t3689 (=> @t3244 (=> @t3688 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 (tptp.hAPP @t5196 @t3214)) @t3687)))))) % 3.49/3.72 (assume @p4094 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t2184) @t3305) @t3234) @t3460)) % 3.49/3.72 (assume @p4095 (forall @t3526 (and (=> @t3514 (= @t5252 @t3322)) (=> @t3515 (= @t5252 @t5253))))) % 3.49/3.72 (assume @p4096 (forall (@list @t1419 @t530 @t1261 @t1972 @t92 @t10) (=> (tptp.c_Relation_Osingle__valued @t10 @t92 @t5098) (=> (not (= @t1261 (tptp.c_Orderings_Obot__class_Obot @t2413))) (= @t5234 @t5233))))) % 3.49/3.72 (assume @p4097 (forall @t3245 (=> @t3244 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t5193 @t1419) @t5197) (tptp.hAPP (tptp.hAPP @t5194 @t1419) @t1261)))))) % 3.49/3.72 (assume @p4098 (forall @t2536 (=> @t3259 (=> @t3355 (= @t5254 (tptp.hAPP (tptp.hAPP @t5163 @t3320) @t1261)))))) % 3.49/3.72 (assume @p4099 (forall @t2536 (=> @t3259 (=> @t3355 (= @t5255 (tptp.hAPP (tptp.hAPP @t5159 @t3472) @t1261)))))) % 3.49/3.72 (assume @p4100 (forall (@list @t3214 @t10) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t4511 @t3214)) (tptp.hBOOL (tptp.hAPP @t3349 @t4)))) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t3214)))))) % 3.49/3.72 (assume @p4101 (forall (@list @t1261 @t2521 @t171 @t10) (=> @t5260 (=> @t5259 @t5258)))) % 3.49/3.72 (assume @p4102 (forall (@list @t171 @t2521 @t1261 @t10) (=> @t5261 (=> @t5260 @t5259)))) % 3.49/3.72 (assume @p4103 (forall @t3482 (= @t5265 @t5263))) % 3.49/3.72 (assume @p4104 (forall @t3482 (= @t5263 @t5265))) % 3.49/3.72 (assume @p4105 (forall @t3764 (= @t5211 (forall @t8 (=> @t3039 @t3763))))) % 3.49/3.72 (assume @p4106 (forall @t3233 (= @t5208 (forall @t8 (=> @t3039 @t3228))))) % 3.49/3.72 (assume @p4107 (forall @t5269 (= @t5268 @t5202))) % 3.49/3.72 (assume @p4108 (forall @t3482 (= @t5202 @t5268))) % 3.49/3.72 (assume @p4109 (forall @t2442 (= (tptp.hAPP @t3112 @t5271) (tptp.hAPP (tptp.hAPP @t5270 @t1419) @t3112)))) % 3.49/3.72 (assume @p4110 (forall @t3160 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2730 @t1419) @t1261)) (tptp.hBOOL (tptp.hAPP @t5273 @t5271))))) % 3.49/3.72 (assume @p4111 (forall @t1752 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t4174) @t3318))) % 3.49/3.72 (assume @p4112 (forall @t3663 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5275) (tptp.hAPP (tptp.hAPP @t3096 @t168) @t5274)))) % 3.49/3.72 (assume @p4113 (forall @t2536 (tptp.hBOOL (tptp.hAPP @t5277 (tptp.hAPP @t4165 @t5276))))) % 3.49/3.72 (assume @p4114 (forall @t5279 (= (= (tptp.hAPP (tptp.hAPP @t4324 @t5256) @t1261) @t3465) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4511 @t2521)) (= (tptp.hAPP @t5278 @t1261) @t3465)))))) % 3.49/3.72 (assume @p4115 (forall @t1752 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t4174) @t3465))) % 3.49/3.72 (assume @p4116 (forall @t3817 (=> @t3259 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5255) @t21)) @t5280)))) % 3.49/3.72 (assume @p4117 (forall (@list @t1261 @t21 @t10) (=> @t3259 (= (tptp.hBOOL (tptp.hAPP @t1016 @t5254)) @t5281)))) % 3.49/3.72 (assume @p4118 (forall @t3160 (=> @t5282 (tptp.hBOOL (tptp.hAPP @t2438 @t5276))))) % 3.49/3.72 (assume @p4119 (forall @t3160 (=> @t5282 @t5283))) % 3.49/3.72 (assume @p4120 (forall @t2442 (=> (tptp.hBOOL (tptp.hAPP @t5277 @t1419)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5276) @t5274))))) % 3.49/3.72 (assume @p4121 (forall @t4546 (= (tptp.hAPP @t4132 (tptp.c_Complete__Lattice_OSup__class_OSup @t3760 @t2412)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 (tptp.hAPP (tptp.c_Set_Oimage @t3760 @t2309 @t4132) @t2412))))) % 3.49/3.72 (assume @p4122 (forall (@list @t168 @t3085 @t10) (=> @t3285 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t434 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3085)) @t168)) (exists @t8 (and @t4030 (tptp.hBOOL (tptp.hAPP @t3043 @t168)))))))) % 3.49/3.72 (assume @p4123 (forall (@list @t3085 @t168 @t10) (=> @t3285 (= (tptp.hBOOL (tptp.hAPP @t435 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3085))) (exists @t8 (and @t4030 (tptp.hBOOL (tptp.hAPP @t435 @t4)))))))) % 3.49/3.72 (assume @p4124 (forall @t2536 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t4166) @t1261))) % 3.49/3.72 (assume @p4125 (forall @t4289 (=> @t4297 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t4288) @t1261)))) % 3.49/3.72 (assume @p4126 (forall @t2536 (=> @t3259 (= @t5254 (tptp.c_Complete__Lattice_OSup__class_OSup @t10 (tptp.hAPP @t4800 (tptp.hAPP @t5285 (tptp.hAPP @t5284 @t964)))))))) % 3.49/3.72 (assume @p4127 (forall @t2536 (=> @t3259 (= @t5255 (tptp.c_Complete__Lattice_OInf__class_OInf @t10 (tptp.hAPP @t4800 (tptp.hAPP @t5285 (tptp.hAPP @t5284 @t2609)))))))) % 3.49/3.72 (assume @p4128 (forall @t2536 (=> @t5287 @t5286))) % 3.49/3.72 (assume @p4129 (forall (@list @t3085 @t2 @t10 @t92) (= (tptp.hAPP @t3008 (tptp.c_Complete__Lattice_OSup__class_OSup @t2682 @t3085)) (tptp.hAPP (tptp.hAPP @t5288 @t3085) @t3008)))) % 3.49/3.72 (assume @p4130 (forall (@list @t1419 @t171 @t92 @t10) (= (tptp.hAPP (tptp.hAPP @t4669 (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t171)) @t1419) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2309 @t3424) @t171) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2309 @t2683 @t3424) @t4669) @t1419))))) % 3.49/3.72 (assume @p4131 (forall @t2746 (= (tptp.hAPP @t4605 @t5264) (tptp.hAPP @t5289 @t4605)))) % 3.49/3.72 (assume @p4132 (forall @t2442 (= (tptp.hAPP @t4325 @t5274) (tptp.hAPP @t5291 @t4325)))) % 3.49/3.72 (assume @p4133 (forall @t3160 (= (tptp.hAPP (tptp.hAPP @t4324 @t5274) @t1261) (tptp.hAPP @t5291 (tptp.hAPP (tptp.hAPP @t4785 @t4324) @t1261))))) % 3.49/3.72 (assume @p4134 (forall @t3482 (= @t5293 @t5292))) % 3.49/3.72 (assume @p4135 (forall @t3482 (= @t5292 @t5293))) % 3.49/3.72 (assume @p4136 (forall (@list @t3085 @t10 @t92) (= (tptp.hAPP @t4992 (tptp.c_Complete__Lattice_OSup__class_OSup @t4235 @t3085)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4235 @t2309) @t3085) @t4992)))) % 3.49/3.72 (assume @p4137 (forall (@list @t3085 @t92 @t10) (= (tptp.hAPP @t5010 (tptp.c_Complete__Lattice_OSup__class_OSup @t3424 @t3085)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3424 @t2309) @t3085) @t5010)))) % 3.49/3.72 (assume @p4138 (forall @t2536 (= @t5272 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2729 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OAll @t2309)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2729 @t2729 @t10) (tptp.hAPP @t4870 (tptp.hAPP (tptp.hAPP @t4867 tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2309 @t2729 tptp.tc_HOL_Obool) @t4169) @t1261)))) @t2725)))))) % 3.49/3.72 (assume @p4139 (forall @t3663 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5275) (tptp.hAPP (tptp.hAPP @t4324 @t168) @t5271)))) % 3.49/3.72 (assume @p4140 (forall @t2442 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5294) (tptp.hAPP (tptp.hAPP @t3096 @t5276) @t5274)))) % 3.49/3.72 (assume @p4141 (forall @t1752 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t4179) @t3318))) % 3.49/3.72 (assume @p4142 (forall @t3482 (= @t3266 @t5295))) % 3.49/3.72 (assume @p4143 (forall @t5269 (= @t5295 @t3266))) % 3.49/3.72 (assume @p4144 (forall @t3377 (=> @t3259 (=> @t3581 (tptp.hBOOL (tptp.hAPP @t967 @t5255)))))) % 3.49/3.72 (assume @p4145 (forall @t1752 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t4179) @t3465))) % 3.49/3.72 (assume @p4146 (forall @t3377 (=> @t3259 (=> @t3581 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5254) @t349)))))) % 3.49/3.72 (assume @p4147 (forall @t2442 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5294) (tptp.hAPP (tptp.hAPP @t4324 @t5272) @t5271)))) % 3.49/3.72 (assume @p4148 (forall @t1752 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3465) @t3472)))) % 3.49/3.72 (assume @p4149 (forall @t335 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3467) @t168)))) % 3.49/3.72 (assume @p4150 (forall @t3423 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3414) (tptp.hAPP @t4500 @t5255))))) % 3.49/3.72 (assume @p4151 (forall @t3255 (= (tptp.hAPP @t5214 @t5227) (tptp.hAPP (tptp.hAPP @t4324 (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5297)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5296))))) % 3.49/3.72 (assume @p4152 (forall @t335 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3467) @t168)))) % 3.49/3.72 (assume @p4153 (forall @t1752 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3318) @t3320)))) % 3.49/3.72 (assume @p4154 (forall @t1752 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3465) @t3320)))) % 3.49/3.72 (assume @p4155 (forall @t1752 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3318) @t3472)))) % 3.49/3.72 (assume @p4156 (forall @t3423 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3414) (tptp.hAPP @t4423 @t5254))))) % 3.49/3.72 (assume @p4157 (forall @t2442 (= @t3113 (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5298)))) % 3.49/3.72 (assume @p4158 (forall @t3255 (= (tptp.hAPP @t3250 @t3301) (tptp.hAPP (tptp.hAPP @t3096 (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5297)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5296))))) % 3.49/3.72 (assume @p4159 (forall @t2442 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t5299)) (tptp.hAPP (tptp.hAPP @t4324 @t5276) @t5274))))) % 3.49/3.72 (assume @p4160 (forall @t2442 (= @t4326 (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5298)))) % 3.49/3.72 (assume @p4161 (forall @t2442 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP (tptp.hAPP @t3096 @t5272) @t5271)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2309 @t5299))))) % 3.49/3.72 (assume @p4162 (forall @t708 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t3469) @t5182)))) % 3.49/3.72 (assume @p4163 (forall @t708 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t3469) @t5184)))) % 3.49/3.72 (assume @p4164 (forall @t2442 (=> @t3259 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t3155 @t1419) @t5255) (tptp.hAPP (tptp.hAPP @t5159 @t1419) @t1261)))))) % 3.49/3.72 (assume @p4165 (forall @t2536 (=> @t3259 (=> @t3355 (=> @t3479 (= @t3840 @t5255)))))) % 3.49/3.72 (assume @p4166 (forall @t2442 (=> @t3259 (=> @t3355 (= (tptp.hAPP (tptp.hAPP @t4329 @t1419) @t5254) (tptp.hAPP (tptp.hAPP @t5163 @t1419) @t1261)))))) % 3.49/3.72 (assume @p4167 (forall @t2536 (=> @t3259 (=> @t3355 (=> @t3479 (= @t4495 @t5254)))))) % 3.49/3.72 (assume @p4168 (forall (@list @t1483 @t1419 @t1261 @t530 @t2521 @t2 @t92 @t10) (=> @t4562 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3622 @t4) @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t3226) @t2521)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3622 @t1483) @t1261)) (= (tptp.hAPP @t3012 (tptp.hAPP @t5219 @t1419)) (tptp.hAPP @t5231 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 @t2682 @t530) @t3012) @t1419)))))))) % 3.49/3.72 (assume @p4169 (forall (@list @t316 @t2521 @t10) (=> (tptp.hBOOL (tptp.hAPP @t4180 @t2521)) (=> (tptp.hBOOL (tptp.hAPP @t3349 @t5256)) (=> (forall (@list @t5302) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t5302) @t2521)) (= (tptp.hAPP @t3064 @t5302) @t316))) (=> (forall (@list @t5301) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t5301) @t2521)) (forall (@list @t5300) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t5300) @t2521)) (=> (not (= @t5301 @t5300)) (= (tptp.hAPP (tptp.hAPP @t4324 @t5301) @t5300) @t3465)))))) (= (tptp.hAPP @t991 (tptp.hAPP @t4167 @t2521)) (tptp.hAPP @t3064 @t5256)))))))) % 3.49/3.72 (assume @p4170 (forall @t3868 (= @t5304 (tptp.hAPP (tptp.hAPP @t5270 @t3085) @t5303)))) % 3.49/3.72 (assume @p4171 (forall @t3868 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t3085) (tptp.hAPP (tptp.hAPP @t5290 @t3085) @t5303)))) % 3.49/3.72 (assume @p4172 (forall @t2536 (=> @t5286 (=> (forall (@list @t5305) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t5305) @t1261)) (tptp.hBOOL (tptp.hAPP @t3349 @t5305)))) @t5287)))) % 3.49/3.72 (assume @p4173 (forall (@list @t3389 @t349 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t4182 @t3389))) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4511 @t5306)) (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t2967) @t5306)) (=> @t3404 (= (tptp.hAPP @t5278 @t2967) @t3465)))))) (= (tptp.hAPP (tptp.hAPP @t4324 @t349) (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 @t3389)) @t3465))))) % 3.49/3.72 (assume @p4174 (forall (@list @t2 @t92 @t10 @t3085) (=> (not (= @t3085 @t4174)) (=> (forall @t5037 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4169 @t4186) @t3085)) (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t4186))) (tptp.c_Fun_Oinj__on @t10 @t92 @t2 @t5304))))) % 3.49/3.72 (assume @p4175 (forall @t2442 (=> (forall @t5309 (=> (tptp.hBOOL (tptp.hAPP @t5308 @t1261)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5307) @t1419)))) (=> (not (= @t1261 @t4174)) @t5283)))) % 3.49/3.72 (assume @p4176 (forall (@list @t1261 @t2 @t530 @t92 @t10 @t3286) (=> (not (= @t3286 @t3465)) (=> (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t3825 @t3286)) (tptp.c_Fun_Oinj__on @t92 @t530 @t2 (tptp.hAPP @t1261 @t1183)))) (tptp.c_Fun_Oinj__on @t92 @t530 @t2 @t5213))))) % 3.49/3.72 (assume @p4177 (forall (@list @t1624 @t1261 @t349 @t583 @t2 @t92 @t10) (=> @t5190 (=> (tptp.hBOOL (tptp.hAPP @t4640 @t1624)) (=> @t3667 (not (forall @t270 (=> (= @t1624 (tptp.hAPP @t566 @t267)) (not (tptp.hBOOL (tptp.hAPP @t4633 @t267))))))))))) % 3.49/3.72 (assume @p4178 (forall @t5310 (=> @t622 (=> @t3355 (=> @t5280 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP (tptp.hAPP @t5155 @t20) @t1261)) (tptp.hAPP (tptp.hAPP @t2569 @t21) @t20)))))))) % 3.49/3.72 (assume @p4179 (forall @t5310 (=> @t622 (=> @t3355 (=> @t5281 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t4424 @t20)) (tptp.hAPP (tptp.hAPP @t5166 @t20) @t1261)))))))) % 3.49/3.72 (assume @p4180 (forall @t5279 (=> (forall @t5309 (=> @t5312 @t5311)) @t5261))) % 3.49/3.72 (assume @p4181 (forall @t5310 (=> @t4372 (=> @t3355 (=> @t5281 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP (tptp.hAPP @t4329 @t21) @t20)) (tptp.hAPP (tptp.hAPP @t5163 @t20) @t1261)))))))) % 3.49/3.72 (assume @p4182 (forall @t5310 (=> @t3163 (=> @t3355 (=> @t5280 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP (tptp.hAPP @t5159 @t20) @t1261)) (tptp.hAPP (tptp.hAPP @t3155 @t21) @t20)))))))) % 3.49/3.72 (assume @p4183 (forall @t1975 (= @t4963 (forall (@list @t5313) (=> (exists @t8 @t5314) (exists @t8 (and @t5314 (forall @t270 (=> (tptp.hBOOL (tptp.hAPP @t5147 @t1972)) (not (tptp.hBOOL (tptp.hAPP @t4282 @t5313)))))))))))) % 3.49/3.72 (assume @p4184 (forall @t4433 (=> @t5315 (=> @t3794 (=> @t3442 @t4450))))) % 3.49/3.72 (assume @p4185 (forall (@list @t3744 @t55) (=> (forall @t8 (=> @t1096 (= @t1095 (tptp.hBOOL (tptp.hAPP @t3744 @t4))))) (= @t4866 (tptp.hAPP @t4865 (tptp.hAPP @t2407 @t3744)))))) % 3.49/3.72 (assume @p4186 (forall (@list @t349 @t3389 @t1 @t583 @t2 @t92 @t10) (=> @t5315 @t4198))) % 3.49/3.72 (assume @p4187 (forall @t3796 (=> @t5315 (=> @t3794 (=> @t3608 (= @t3804 @t3793)))))) % 3.49/3.72 (assume @p4188 (forall @t3796 (=> @t5315 (=> @t3794 @t3807)))) % 3.49/3.72 (assume @p4189 (forall @t4433 (=> @t5315 (=> @t3794 (=> (tptp.hBOOL (tptp.hAPP @t3443 @t1261)) @t4199))))) % 3.49/3.72 (assume @p4190 (forall (@list @t51 @t55 @t1419 @t1261 @t10) (=> @t2441 (=> (forall @t8 (=> @t3039 (=> @t1095 (tptp.hBOOL @t2937)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t4835) (tptp.hAPP @t4348 @t4808))))))) % 3.49/3.72 (assume @p4191 (forall @t3343 (=> @t5258 (not (forall @t5309 (=> @t5311 (not @t5312))))))) % 3.49/3.72 (assume @p4192 (forall (@list @t5316 @t5319 @t5318 @t92 @t314 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t5320 (tptp.c_Map_Odom @t10 @t92 @t5318)))) (= (tptp.c_Map_Omap__add @t10 @t92 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t5319) @t314) @t5317) @t5318) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 (tptp.c_Map_Omap__add @t10 @t92 @t5319 @t5318)) @t314) @t5317))))) % 3.49/3.72 (assume @p4193 (forall (@list @t1972 @t5321 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 @t5321) @t5098)) (not (forall @t2447 (=> (= @t5321 (tptp.hAPP (tptp.hAPP @t2349 @t267) @t4)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 (tptp.hAPP @t4237 @t267)) @t1972))))))))) % 3.49/3.72 (assume @p4194 (forall (@list @t316 @t19 @t314 @t10 @t92) (= (= @t5325 @t356) (and @t5324 (= @t5322 @t356))))) % 3.49/3.72 (assume @p4195 (forall (@list @t314 @t92 @t5326 @t10 @t316 @t19) (=> (= @t5323 @t5327) (= @t5325 @t5327)))) % 3.49/3.72 (assume @p4196 (forall (@list @t5328 @t5329 @t5330 @t92 @t10) (= (tptp.c_Map_Omap__add @t10 @t92 @t5330 (tptp.c_Map_Omap__add @t10 @t92 @t5329 @t5328)) (tptp.c_Map_Omap__add @t10 @t92 @t5331 @t5328)))) % 3.49/3.72 (assume @p4197 (forall @t4843 (= (tptp.c_Map_Omap__add @t10 @t92 @t314 @t3973) @t314))) % 3.49/3.72 (assume @p4198 (forall @t4843 (= (tptp.c_Map_Omap__add @t10 @t92 @t3973 @t314) @t314))) % 3.49/3.72 (assume @p4199 (forall (@list @t349 @t5329 @t5330 @t10 @t92) (= (tptp.hAPP (tptp.c_Map_Omap__add @t92 @t10 @t5330 @t5329) @t349) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2655 @t10 (tptp.hAPP @t5330 @t349) @t354) (tptp.hAPP @t5329 @t349))))) % 3.49/3.72 (assume @p4200 (forall @t5337 (=> @t5336 @t5335))) % 3.49/3.72 (assume @p4201 (forall @t5337 (=> (not @t5336) (= @t5334 (tptp.hAPP @t5333 @t314))))) % 3.49/3.72 (assume @p4202 (forall (@list @t5332 @t5333 @t92 @t314 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t5320 (tptp.c_Map_Odom @t10 @t92 @t5333)))) @t5335))) % 3.49/3.72 (assume @p4203 (forall (@list @t19 @t314 @t92 @t10) (= (tptp.c_Map_Odom @t10 @t92 (tptp.c_Map_Omap__add @t10 @t92 @t314 @t19)) (tptp.hAPP (tptp.hAPP @t3096 (tptp.c_Map_Odom @t10 @t92 @t19)) @t4637)))) % 3.49/3.72 (assume @p4204 (forall @t5340 (=> @t5339 @t5338))) % 3.49/3.72 (assume @p4205 (forall @t5340 (= @t5339 @t5338))) % 3.49/3.72 (assume @p4206 (forall (@list @t610 @t349 @t1 @t2 @t92 @t10) (= (tptp.c_Map_Omap__add @t10 @t92 @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t1) @t349) @t3968)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 (tptp.c_Map_Omap__add @t10 @t92 @t2 @t1)) @t349) @t3968)))) % 3.49/3.72 (assume @p4207 (forall (@list @t5341 @t314 @t92 @t10) (= (tptp.c_Fun_Oinj__on @t10 @t3967 (tptp.c_Map_Omap__add @t10 @t92 @t314 @t5341) @t5342) (tptp.c_Fun_Oinj__on @t10 @t3967 @t5341 @t5342)))) % 3.49/3.72 (assume @p4208 (forall (@list @t5329 @t5330 @t92 @t10) (=> (= (tptp.hAPP (tptp.hAPP @t4324 (tptp.c_Map_Odom @t10 @t92 @t5330)) (tptp.c_Map_Odom @t10 @t92 @t5329)) @t3465) (= @t5331 (tptp.c_Map_Omap__add @t10 @t92 @t5329 @t5330))))) % 3.49/3.72 (assume @p4209 (forall (@list @t1477 @t2 @t92 @t10) (=> @t3966 (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2655 (tptp.c_Map_Omap__add @t92 @t10 @t2 (tptp.c_Map_Omap__of @t92 @t10 @t1477))) @t3322)))))) % 3.49/3.72 (assume @p4210 (forall (@list @t18 @t1972 @t530 @t5343 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 @t5343) @t4940)) (not (forall (@list @t4 @t267 @t1408) (=> (= @t5343 @t5151) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4935 (tptp.hAPP (tptp.hAPP @t2373 @t4) @t267)) @t1972)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4931 (tptp.hAPP (tptp.hAPP @t2596 @t267) @t1408)) @t18)))))))))) % 3.49/3.72 (assume @p4211 (forall (@list @t1477 @t92 @t10) (tptp.hBOOL (tptp.hAPP @t3349 (tptp.c_Map_Odom @t10 @t92 @t5344))))) % 3.49/3.72 (assume @p4212 (forall @t5347 (tptp.hBOOL (tptp.hAPP @t3435 (tptp.hAPP (tptp.c_Set_Oimage @t92 @t2655 @t5346) @t3322))))) % 3.49/3.72 (assume @p4213 (forall (@list @t5348 @t314 @t92 @t10) (= (tptp.c_Map_Omap__add @t10 @t92 @t314 @t5355) (tptp.c_List_Ofoldr @t2388 @t5349 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t5351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5354 @t5353) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5352 (tptp.tc_fun @t5354 @t5353) @t10) (tptp.c_COMBB @t3967 @t5351 @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5349 @t5350) @t5352 @t10) (tptp.c_COMBC @t5349 @t3967 @t5349)) (tptp.hAPP (tptp.c_COMBC @t5349 @t10 @t5350) @t3969)))) @t387)) @t5348 @t314)))) % 3.49/3.72 (assume @p4214 (forall @t623 (= (tptp.c_Smallcheck_Oorelse @t10 @t349 @t610) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2655 @t10 @t610 @t354) @t349)))) % 3.49/3.72 (assume @p4215 (forall @t5358 (= (tptp.c_Smallcheck_Ofull__small__class_Ofull__small tptp.tc_Int_Oint @t2 @t809) (tptp.c_Smallcheck_Ofull__small_H @t2 @t5356 @t5357)))) % 3.49/3.72 (assume @p4216 (forall (@list @t2 @t143 @t809) @t5364)) % 3.49/3.72 (assume @p4217 (forall (@list @t143 @t809 @t2) (=> (tptp.hBOOL (tptp.hAPP @t5367 (tptp.hAPP (tptp.hAPP @t5366 @t2) (tptp.hAPP (tptp.hAPP @t2130 @t809) @t143)))) @t5364))) % 3.49/3.72 (assume @p4218 (forall @t5358 (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall tptp.tc_Int_Oint) @t2) @t809) (tptp.c_Smallcheck_Osmall_H @t2 @t5356 @t5357)))) % 3.49/3.72 (assume @p4219 (forall (@list @t809 @t2 @t10 @t92) (=> (and (tptp.class_Smallcheck_Osmall @t92) (tptp.class_Smallcheck_Osmall @t10)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t2388) @t2) @t809) (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Code__Numeral_Ocode__numeral @t5360) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5368 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5360) @t10) (tptp.c_Smallcheck_Osmall__class_Osmall @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 @t5368 @t10) (tptp.hAPP (tptp.c_COMBB @t2388 @t5360 @t92) @t2)) @t2349))) @t809)) @t809))))) % 3.49/3.72 (assume @p4220 (forall (@list @t55 @t29 @t33 @t2335) (=> (tptp.hBOOL (tptp.hAPP @t5367 (tptp.hAPP (tptp.hAPP @t5366 @t2335) (tptp.hAPP (tptp.hAPP @t2130 @t33) @t29)))) (=> (forall (@list @t4176 @t1513 @t1183) (=> (tptp.hBOOL (tptp.hAPP @t5367 (tptp.hAPP (tptp.hAPP @t5366 @t4176) (tptp.hAPP (tptp.hAPP @t2130 @t1513) @t1183)))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t1513) @t1183))) (=> (= @t4976 @t5363) (tptp.hBOOL (tptp.hAPP @t5369 @t3316)))) (tptp.hBOOL (tptp.hAPP @t5369 @t1183))))) (tptp.hBOOL (tptp.hAPP @t2336 @t29)))))) % 3.49/3.72 (assume @p4221 (= tptp.c_Com_Obody (tptp.c_Map_Omap__of tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obodies))) % 3.49/3.72 (assume @p4222 (forall (@list @t349 @t316 @t62 @t530 @t2 @t92 @t10) (=> @t4532 (=> (= (tptp.hAPP (tptp.c_Map_Omap__of @t10 @t530 @t62) @t316) @t5371) (= (tptp.hAPP (tptp.c_Map_Omap__of @t92 @t530 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4762 @t2393) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t530 @t2393) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t3696 @t10) @t2382) @t2))) @t62)) (tptp.hAPP @t2 @t316)) @t5371))))) % 3.49/3.72 (assume @p4223 (forall (@list @t316 @t1 @t2 @t530 @t10 @t92) (= (tptp.c_Map_Omap__comp @t92 @t10 @t530 @t2 @t1 @t316) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2655 @t92 @t356 @t2) (tptp.hAPP @t1 @t316))))) % 3.49/3.72 (assume @p4224 (forall @t3491 (=> @t4532 @t5377))) % 3.49/3.72 (assume @p4225 (forall (@list @t1624 @t316 @t5329 @t5330 @t530 @t10 @t92) (= (= @t5384 @t5378) (exists @t5383 (and @t5382 (= @t5380 @t5378)))))) % 3.49/3.72 (assume @p4226 (forall (@list @t5330 @t92 @t530 @t5385 @t10 @t316 @t5329) (=> (= @t5381 (tptp.hAPP @t354 @t5385)) (= @t5386 (tptp.hAPP @t5330 @t5385))))) % 3.49/3.72 (assume @p4227 (forall (@list @t5330 @t92 @t530 @t10 @t316 @t5329) (=> (= @t5381 @t356) (= @t5386 (tptp.c_Option_Ooption_ONone @t530))))) % 3.49/3.72 (assume @p4228 (forall @t3491 (= @t5377 @t4532))) % 3.49/3.72 (assume @p4229 (forall @t5393 (=> @t4532 @t5392))) % 3.49/3.72 (assume @p4230 (forall @t3491 (=> @t5377 @t4532))) % 3.49/3.72 (assume @p4231 (forall @t5399 (=> @t5398 (=> (tptp.c_Fun_Oinj__on @t92 @t10 @t2 @t3322) @t5389)))) % 3.49/3.72 (assume @p4232 (forall @t5402 (= (tptp.hAPP @t5401 @t5388) @t5388))) % 3.49/3.72 (assume @p4233 (forall @t1752 (= @t5401 @t5403))) % 3.49/3.72 (assume @p4234 (forall @t1752 (= (tptp.hAPP @t5400 @t4922) @t5403))) % 3.49/3.72 (assume @p4235 (forall (@list @t5388 @t1 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t5395 (tptp.hAPP @t5407 @t5388)) (tptp.hAPP @t5405 @t5388)))) % 3.49/3.72 (assume @p4236 (forall (@list @t5408 @t1 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t5395 (tptp.hAPP @t5407 @t5408)) (tptp.hAPP @t5405 @t5408)))) % 3.49/3.72 (assume @p4237 (forall @t5411 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5410 @t5376 @t4984 @t5409) (tptp.hAPP (tptp.c_List_Omap @t10 @t530) @t1)) (tptp.hAPP @t5374 @t4228)))) % 3.49/3.72 (assume @p4238 (forall (@list @t168 @t5388 @t2 @t530 @t1 @t10 @t92) (= (tptp.c_List_Ofoldr @t92 @t10 @t1 @t5412 @t168) (tptp.c_List_Ofoldr @t530 @t10 (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t2203 @t530 @t1) @t2) @t5388 @t168)))) % 3.49/3.72 (assume @p4239 (forall @t5414 (= (tptp.c_Map_Omap__comp @t92 @t10 @t530 @t314 @t5413 @t349) @t356))) % 3.49/3.72 (assume @p4240 (forall @t5414 (= (tptp.c_Map_Omap__comp @t92 @t10 @t530 @t3980 @t314 @t349) @t356))) % 3.49/3.72 (assume @p4241 (forall (@list @t316 @t5329 @t5330 @t530 @t10 @t92) (= (= @t5384 @t356) (or (= @t5381 @t391) (exists @t5383 (and @t5382 (= @t5380 @t356))))))) % 3.49/3.72 (assume @p4242 (forall (@list @t5388 @t2 @t530 @t92 @t10) (= (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP @t5420 @t5388)) (tptp.hAPP @t5418 (tptp.c_Map_Omap__of @t10 @t530 @t5388))))) % 3.49/3.72 (assume @p4243 (forall (@list @t314 @t92 @t5388 @t10) (=> (= @t5424 @t4637) (= (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.hAPP @t5422 (tptp.hAPP @t5421 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3967 @t92 @t10) (tptp.c_Option_Othe @t92)) @t314))) @t5388)) @t314)))) % 3.49/3.72 (assume @p4244 (forall @t5402 (tptp.hBOOL (tptp.hAPP @t3349 @t5424)))) % 3.49/3.72 (assume @p4245 (forall @t5428 (= (tptp.hAPP @t5423 @t5397) @t5427))) % 3.49/3.72 (assume @p4246 (forall (@list @t1 @t5388 @t2 @t10 @t92) (= (= @t5397 @t5429) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3263 @t5426)) @t7))))) % 3.49/3.72 (assume @p4247 (forall @t5411 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5417 @t3967 @t2655 @t5416) (tptp.hAPP (tptp.c_Option_Omap @t10 @t530) @t1)) (tptp.hAPP @t5430 @t4228)))) % 3.49/3.72 (assume @p4248 (forall (@list @t5431 @t1 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t5434 (tptp.hAPP @t5433 @t5431)) (tptp.hAPP @t5432 @t5431)))) % 3.49/3.72 (assume @p4249 (forall (@list @t5435 @t1 @t530 @t2 @t10 @t92) (= (tptp.hAPP @t5434 (tptp.hAPP @t5433 @t5435)) (tptp.hAPP @t5432 @t5435)))) % 3.49/3.72 (assume @p4250 (forall (@list @t205 @t1 @t2 @t92 @t10 @t530 @t2394) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5437 @t5417 @t2622 @t5436) (tptp.c_Sum__Type_Osum_Osum__case @t10 @t5437 @t92 @t1 @t205)) (tptp.c_Sum__Type_Osum_Osum__case @t10 @t5417 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t5437 @t5417 @t10 @t5436) @t1) (tptp.hAPP (tptp.c_Fun_Ocomp @t5437 @t5417 @t92 @t5436) @t205))))) % 3.49/3.72 (assume @p4251 (forall @t1752 (= (tptp.hAPP @t5439 @t2159) @t5438))) % 3.49/3.72 (assume @p4252 (forall @t1752 (= (tptp.hAPP @t5439 @t4922) @t5438))) % 3.49/3.72 (assume @p4253 (forall @t1752 (not (tptp.hBOOL (tptp.hAPP @t5440 @t5373))))) % 3.49/3.72 (assume @p4254 (forall (@list @t314 @t2 @t530 @t92 @t10) (= (tptp.c_Map_Odom @t10 @t92 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t5417 @t3967) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4549 (tptp.tc_fun @t5417 @t3967) @t10) @t5415) @t2)) @t314)) (tptp.c_Map_Odom @t10 @t530 @t314)))) % 3.49/3.72 (assume @p4255 (forall @t5441 (= (tptp.hAPP @t5434 @t3974) (tptp.hAPP @t354 @t566)))) % 3.49/3.72 (assume @p4256 (forall (@list @t610 @t3567 @t2 @t10 @t92) (= (= (tptp.hAPP @t5434 @t3567) @t3975) (exists @t1409 (and (= @t3567 (tptp.hAPP @t387 @t1408)) (= (tptp.hAPP @t2 @t1408) @t610)))))) % 3.49/3.72 (assume @p4257 (forall @t3475 (= (tptp.hAPP @t5434 @t391) @t356))) % 3.49/3.72 (assume @p4258 (forall (@list @t5435 @t2 @t10 @t92) (= (= (tptp.hAPP @t5434 @t5435) @t356) (= @t5435 @t391)))) % 3.49/3.72 (assume @p4259 (forall @t567 (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t3967 @t2655 @t530 @t5434) @t5413) @t349) @t356))) % 3.49/3.72 (assume @p4260 (forall (@list @t21 @t168 @t314 @t2 @t10 @t92 @t530) (= (tptp.hAPP @t5418 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t10 @t5417) @t314) @t168) (tptp.hAPP @t5370 @t21))) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 (tptp.hAPP @t5418 @t314)) @t168) (tptp.hAPP @t387 (tptp.hAPP @t2 @t21)))))) % 3.49/3.72 (assume @p4261 (forall @t5393 (=> @t5444 @t5392))) % 3.49/3.72 (assume @p4262 (forall @t5399 (=> @t5398 (=> (tptp.c_Fun_Oinj__on @t92 @t10 @t2 (tptp.hAPP (tptp.hAPP @t3123 @t5426) @t5445)) @t5389)))) % 3.49/3.72 (assume @p4263 (forall (@list @t1624 @t2 @t92 @t5388 @t610 @t10) (=> (not @t5446) (= (tptp.hAPP (tptp.hAPP @t5374 (tptp.hAPP (tptp.hAPP @t3945 @t610) @t1624)) @t5388) @t5391)))) % 3.49/3.72 (assume @p4264 (forall @t2746 (=> (tptp.c_Fun_Oinj__on @t10 @t92 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t2309 (tptp.hAPP (tptp.c_Set_Oimage @t4984 @t2309 @t5423) @t1261))) (tptp.c_Fun_Oinj__on @t4984 @t5376 @t5375 @t1261)))) % 3.49/3.72 (assume @p4265 (forall @t5453 (=> @t5452 (= (tptp.hAPP @t5017 @t5449) (tptp.hAPP @t5017 @t5448))))) % 3.49/3.72 (assume @p4266 (forall (@list @t610 @t316 @t5388 @t10 @t92) (=> (= @t5455 @t3975) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 (tptp.hAPP (tptp.hAPP @t2545 @t316) @t610)) (tptp.hAPP @t5454 @t5388)))))) % 3.49/3.72 (assume @p4267 (forall (@list @t610 @t349 @t5345 @t10 @t92) (=> (= @t5457 @t3975) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4238 @t2547) @t5456))))) % 3.49/3.72 (assume @p4268 (forall @t5347 (= (tptp.c_Map_Odom @t10 @t92 @t5459) (tptp.hAPP @t5017 @t5458)))) % 3.49/3.72 (assume @p4269 (forall (@list @t349 @t5345 @t10 @t92) (= (= @t5457 @t356) (not (tptp.hBOOL (tptp.hAPP @t3607 (tptp.hAPP @t4726 @t5456))))))) % 3.49/3.72 (assume @p4270 (forall @t3491 (= (tptp.hAPP @t5430 @t2) (tptp.c_Option_Ooption_Ooption__case @t3967 @t10 @t391 @t4642)))) % 3.49/3.72 (assume @p4271 (= tptp.c_Com_OWT__bodies (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t5460) @t4) (tptp.hAPP (tptp.c_List_Oset @t5460) 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)))))) % 3.49/3.72 (assume @p4272 (forall (@list @t5461 @t2 @t92 @t10) (= (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.hAPP @t5422 (tptp.hAPP @t5421 @t2)) @t5461)) (tptp.c_Map_Orestrict__map @t10 @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t92 @t3967 @t10 @t387) @t2) (tptp.hAPP @t5423 @t5461))))) % 3.49/3.72 (assume @p4273 (forall (@list @t5462 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5464 (tptp.hAPP @t5463 @t5462))) (= (tptp.c_Map_Oran @t10 @t92 (tptp.c_Map_Omap__of @t10 @t92 @t5462)) (tptp.hAPP @t4728 (tptp.hAPP @t5447 @t5462)))))) % 3.49/3.72 (assume @p4274 (forall @t5466 (=> @t5465 (= @t5449 (tptp.hAPP @t4816 (tptp.hAPP @t2352 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5354 @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4841 (tptp.tc_fun @t5354 @t2682) @t10) (tptp.c_COMBB @t3967 tptp.tc_HOL_Obool @t92)) (tptp.hAPP @t4842 @t5451))) @t387))))))) % 3.49/3.72 (assume @p4275 (forall @t5428 (= (tptp.hBOOL (tptp.hAPP @t5464 @t5397)) (and @t5468 (tptp.c_Fun_Oinj__on @t92 @t10 @t2 @t5426))))) % 3.49/3.72 (assume @p4276 (forall @t5453 (=> @t5465 (=> (tptp.hBOOL (tptp.hAPP @t5464 (tptp.hAPP @t5463 @t5387))) (= @t5452 (= @t5449 @t5448)))))) % 3.49/3.72 (assume @p4277 (forall @t5473 (=> @t5472 (=> @t5471 @t5470)))) % 3.49/3.72 (assume @p4278 (forall @t5473 (=> @t5472 (= @t5470 @t5471)))) % 3.49/3.72 (assume @p4279 (forall (@list @t349 @t610 @t5345 @t92 @t10) (=> @t5472 (= (= @t3968 @t5469) @t5471)))) % 3.49/3.72 (assume @p4280 (forall @t3058 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t143 @t1483) (tptp.hAPP @t5475 (tptp.c_List_Oupto @t3559 @t5474))))) % 3.49/3.72 (assume @p4281 (forall (@list @t1477 @t349 @t316 @t92 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3623 (tptp.hAPP (tptp.hAPP @t2349 @t316) @t349)) (tptp.hAPP @t5447 @t1477))) (exists @t8 (= (tptp.hAPP @t5344 @t316) (tptp.hAPP @t387 @t4)))))) % 3.49/3.72 (assume @p4282 (forall @t3058 (= @t3560 @t5477))) % 3.49/3.72 (assume @p4283 (forall @t3058 (= @t5477 @t3560))) % 3.49/3.72 (assume @p4284 (forall @t499 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5478)))) % 3.49/3.72 (assume @p4285 (forall @t3058 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t143) @t1483) (tptp.hAPP @t5475 (tptp.c_List_Oupto @t143 @t5474))))) % 3.49/3.72 (assume @p4286 (forall @t3058 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t143 @t1483) (tptp.hAPP @t5475 @t5479)))) % 3.49/3.72 (assume @p4287 (forall @t1865 (= (tptp.c_List_Onat__list @t1477) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5475 @t1477))))) % 3.49/3.72 (assume @p4288 (forall @t5484 (=> @t5483 (= @t5482 (tptp.hAPP @t5480 @t3492))))) % 3.49/3.72 (assume @p4289 (forall @t5487 (=> @t5486 (= @t5481 @t5388)))) % 3.49/3.72 (assume @p4290 (forall (@list @t610 @t5388 @t349 @t10) (=> @t5486 (not (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 (tptp.c_List_Oremove1 @t10 @t610 @t5388)))))))) % 3.49/3.72 (assume @p4291 (forall (@list @t5388 @t10 @t21 @t168) (=> @t813 (= (tptp.hBOOL (tptp.hAPP @t3595 (tptp.hAPP @t5423 (tptp.c_List_Oremove1 @t10 @t21 @t5388)))) @t5488)))) % 3.49/3.72 (assume @p4292 (forall @t5487 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5482) @t5424)))) % 3.49/3.72 (assume @p4293 (forall @t5490 (= (tptp.c_List_Oremove1 @t66 @t101 (tptp.c_List_Oremove1 @t66 @t100 @t5489)) (tptp.c_List_Oremove1 @t66 @t100 (tptp.c_List_Oremove1 @t66 @t101 @t5489))))) % 3.49/3.72 (assume @p4294 (forall @t5495 (=> @t5494 (tptp.hBOOL (tptp.hAPP @t5493 @t5492))))) % 3.49/3.72 (assume @p4295 (forall @t3453 (=> @t622 (=> @t3355 (= @t5497 (tptp.c_List_Oremove1 @t10 @t349 @t5496)))))) % 3.49/3.72 (assume @p4296 (forall (@list @t2 @t92 @t5388 @t349 @t10) (and (=> @t5485 (= @t5500 (tptp.hAPP @t387 @t566))) (=> @t5486 (= @t5500 @t391))))) % 3.49/3.72 (assume @p4297 (forall (@list @t5491 @t10 @t5501 @t66) (=> (tptp.hBOOL (tptp.hAPP @t5493 @t5501)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5502) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t66) @t5491) @t5501)))))) % 3.49/3.72 (assume @p4298 (forall @t5507 (=> @t5494 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5506) @t5505))))) % 3.49/3.72 (assume @p4299 (forall @t5402 (= @t5509 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 @t3759) @t4137) @t5388)))) % 3.49/3.72 (assume @p4300 (forall (@list @t5510 @t92 @t10) (= (tptp.hAPP (tptp.hAPP @t5498 @t5513) @t5512) @t5510))) % 3.49/3.72 (assume @p4301 (forall (@list @t5387 @t1 @t2394 @t5388 @t2 @t10 @t530 @t92) (= (tptp.hAPP @t5517 (tptp.hAPP (tptp.hAPP @t5516 @t5388) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2394 @t530) @t1) @t5387))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4764 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t92 @t2394 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5514 (tptp.tc_fun @t2394 @t10) @t92) (tptp.hAPP (tptp.c_COMBB @t2393 @t10 @t2394) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t5515 @t5514) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3696 (tptp.tc_fun @t5515 @t5514) @t92) (tptp.c_COMBB @t530 @t2393 @t2394)) @t2382)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t92 @t2394) @t5388) @t5387))))) % 3.49/3.72 (assume @p4302 (forall (@list @t5387 @t5388 @t1 @t2394 @t2 @t10 @t530 @t92) (= (tptp.hAPP @t5517 (tptp.hAPP (tptp.hAPP @t5516 (tptp.hAPP @t5518 @t5388)) @t5387)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4774 @t10) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2394 @t530 @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3696 @t2828 @t2394) (tptp.hAPP (tptp.c_COMBB @t2393 @t10 @t530) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t92 @t3696 @t2394) @t2382) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2394 @t530) @t5388) @t5387))))) % 3.49/3.72 (assume @p4303 (forall @t5523 (=> @t5522 (not (=> @t5485 (not @t5519)))))) % 3.49/3.72 (assume @p4304 (forall @t5523 (=> @t5522 @t5519))) % 3.49/3.72 (assume @p4305 (forall @t5523 (=> @t5522 @t5485))) % 3.49/3.72 (assume @p4306 (forall (@list @t5388 @t21 @t168 @t10) (= (tptp.hBOOL (tptp.hAPP @t4151 (tptp.hAPP @t5524 @t5509))) (and @t5488 @t703)))) % 3.49/3.72 (assume @p4307 (forall (@list @t5387 @t2 @t530 @t5388 @t92 @t10) (= (tptp.hAPP @t5499 (tptp.hAPP @t5409 @t5387)) (tptp.hAPP @t5420 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t10 @t530) @t5388) @t5387))))) % 3.49/3.72 (assume @p4308 (forall (@list @t5387 @t5388 @t2 @t530 @t92 @t10) (= (tptp.hAPP @t5525 @t5387) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4930 @t2388) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t530 @t92 @t2388) @t4670)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t530 @t92) @t5388) @t5387))))) % 3.49/3.72 (assume @p4309 (forall (@list @t5387 @t1 @t2394 @t5388 @t2 @t530 @t92 @t10) (= (tptp.hAPP @t5525 (tptp.hAPP @t5518 @t5387)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2634 @t2388) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t530 @t2394 @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t530 @t2632 @t5526) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2390 (tptp.tc_fun @t2632 @t5526) @t530) (tptp.c_COMBB @t92 @t2388 @t2394)) @t4670)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t530 @t2394) @t5388) @t5387))))) % 3.49/3.72 (assume @p4310 (forall @t3453 (=> @t622 (=> @t3355 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t3375) (tptp.hAPP @t5528 @t5497)))))) % 3.49/3.72 (assume @p4311 (forall (@list @t583 @t610 @t349 @t5510 @t5388 @t92 @t5387 @t10) (=> @t5539 (=> @t5537 (=> (not (tptp.hBOOL (tptp.hAPP @t3607 @t5426))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3964 @t5531) @t349) @t3975) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3964 @t5530) @t349) @t5533)) @t5532)))))) % 3.49/3.72 (assume @p4312 (forall (@list @t5501 @t5491 @t10 @t66) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5506)) @t5505) (tptp.hAPP @t5544 @t5540)))) % 3.49/3.72 (assume @p4313 (forall @t5550 (=> @t5549 (= (tptp.hAPP @t5423 @t5548) @t5545)))) % 3.49/3.72 (assume @p4314 (forall (@list @t5388 @t610 @t349 @t10) (=> @t622 (= (tptp.hAPP @t5528 (tptp.hAPP @t5552 @t5388)) (tptp.hAPP @t5552 @t5551))))) % 3.49/3.72 (assume @p4315 (forall (@list @t5388 @t92 @t610 @t349 @t2 @t10) (=> @t622 (=> @t4525 (= (tptp.hAPP @t5554 @t5556) (tptp.hAPP @t5555 (tptp.hAPP @t5554 @t5388))))))) % 3.49/3.72 (assume @p4316 (forall @t5550 (=> @t5549 (= (tptp.hAPP @t5536 @t5548) @t5558)))) % 3.49/3.72 (assume @p4317 (forall @t5561 (=> (not (= @t5543 @t5560)) (not @t5559)))) % 3.49/3.72 (assume @p4318 (forall @t1752 (=> @t622 (tptp.c_Finite__Set_Ofun__left__comm @t10 @t4984 @t5527)))) % 3.49/3.72 (assume @p4319 (forall (@list @t19 @t1972 @t5387 @t5388 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5565 @t4989)) (and (= @t5557 @t19) (= @t5538 @t19))))) % 3.49/3.72 (assume @p4320 (forall @t5428 (= (tptp.hAPP @t5536 @t5397) @t5535))) % 3.49/3.72 (assume @p4321 (forall (@list @t5387 @t1 @t530 @t5388 @t2 @t10 @t92) (=> (= @t5397 (tptp.hAPP (tptp.hAPP @t5404 @t1) @t5387)) (= @t5535 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5410) @t5387))))) % 3.49/3.72 (assume @p4322 (forall @t5487 (=> @t622 (= (tptp.c_List_Oremove1 @t10 @t349 @t5551) @t5388)))) % 3.49/3.72 (assume @p4323 (forall @t5402 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t5566) @t5557)))) % 3.49/3.72 (assume @p4324 (forall @t5402 (=> @t5483 @t5567))) % 3.49/3.72 (assume @p4325 (forall @t5402 (=> @t5567 @t5483))) % 3.49/3.72 (assume @p4326 (forall (@list @t5510 @t5388 @t92 @t5387 @t10) (=> @t5539 (=> @t5537 (=> @t5468 (=> @t5532 @t5568)))))) % 3.49/3.72 (assume @p4327 (forall @t5571 (=> @t5570 (= (tptp.hAPP @t5463 @t5520) @t5388)))) % 3.49/3.72 (assume @p4328 (forall @t5571 (=> @t5570 (= (tptp.hAPP @t5511 @t5520) @t5387)))) % 3.49/3.72 (assume @p4329 (forall @t5550 (=> @t5549 (= (tptp.hBOOL (tptp.hAPP @t5464 @t5548)) @t5572)))) % 3.49/3.72 (assume @p4330 (forall @t5487 (=> @t5485 @t5573))) % 3.49/3.72 (assume @p4331 (forall (@list @t5510 @t5387 @t92 @t5388 @t10) (=> @t5570 (= (= @t5520 @t5510) (and (= @t5513 @t5388) (= @t5512 @t5387)))))) % 3.49/3.72 (assume @p4332 (forall @t1975 (= @t4983 (tptp.hAPP @t5593 (tptp.hAPP @t5592 (tptp.hAPP (tptp.hAPP @t5591 (tptp.hAPP @t5590 (tptp.hAPP (tptp.hAPP @t5587 (tptp.hAPP @t5584 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5582 (tptp.hAPP @t5581 (tptp.hAPP (tptp.hAPP @t5577 @t404) @t5536))) @t5536)))) (tptp.hAPP (tptp.hAPP @t5591 (tptp.hAPP @t5590 (tptp.hAPP (tptp.hAPP @t5587 @t5585) @t5583))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t4988 @t5372) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5575 (tptp.tc_fun @t4988 @t5372) @t4984) (tptp.c_COMBC @t4984 @t4988 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5576 @t5575 @t4984) (tptp.hAPP (tptp.c_COMBB @t4987 @t5574 @t4984) @t5564)) @t5562))) @t4985)))))))) % 3.49/3.72 (assume @p4333 (forall @t1975 (= @t4983 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5594 @t4984) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t4984 tptp.c_Wellfounded_Oless__than @t4985)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4984 @t4984 @t5594) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t4984 @t5594) @t4984) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t4984)) @t5536)) (tptp.c_COMBI @t4984)))))) % 3.49/3.72 (assume @p4334 (forall @t5602 (=> @t3355 (tptp.hBOOL (tptp.hAPP @t5440 (tptp.hAPP @t5601 (tptp.hAPP @t5600 (tptp.hAPP @t5596 @t19)))))))) % 3.49/3.72 (assume @p4335 (forall @t5605 (= @t5389 (and @t5604 (forall @t8 (=> @t5603 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4141 tptp.c_fequal) @t4)))))))) % 3.49/3.72 (assume @p4336 (forall @t5608 (=> @t5570 (= (= @t5607 @t391) @t5486)))) % 3.49/3.72 (assume @p4337 (forall @t5608 (=> @t5570 (= @t5485 (exists @t270 (= @t5607 (tptp.hAPP @t387 @t267))))))) % 3.49/3.72 (assume @p4338 (forall @t5487 (and (=> @t5485 (= @t5609 (tptp.hAPP (tptp.hAPP @t1397 @t5557) @t773))) (=> @t5486 (= @t5609 @t5557))))) % 3.49/3.72 (assume @p4339 (forall @t5571 (=> @t5570 (=> @t5483 (= (tptp.c_Map_Odom @t10 @t92 @t5606) @t5424))))) % 3.49/3.72 (assume @p4340 (forall @t5602 (=> @t3355 (tptp.hBOOL (tptp.hAPP @t5440 (tptp.hAPP @t5601 (tptp.hAPP @t5600 (tptp.hAPP (tptp.hAPP @t5595 (tptp.hAPP (tptp.hAPP @t5577 @t915) @t5536)) @t19)))))))) % 3.49/3.72 (assume @p4341 (forall @t2536 (and (=> @t3355 (= @t5610 (tptp.hAPP @t5536 @t5611))) (=> @t3383 (= @t5610 @t199))))) % 3.49/3.72 (assume @p4342 (forall @t5614 (= @t5613 (and @t5604 (forall @t8 (=> @t5603 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4141 @t4649) @t4)))))))) % 3.49/3.72 (assume @p4343 (forall @t5616 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5563 @t5388)) @t5615)))) % 3.49/3.72 (assume @p4344 (forall @t5614 (=> @t5613 @t5604))) % 3.49/3.72 (assume @p4345 (forall (@list @t5510 @t1972 @t5387 @t5388 @t10) (=> @t5618 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5617 @t5510)) @t5615)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5563 @t5510)) @t5615)))))) % 3.49/3.72 (assume @p4346 (forall @t4145 (=> @t4144 (tptp.hBOOL (tptp.hAPP @t5620 (tptp.c_List_Olistrel @t10 @t18)))))) % 3.49/3.72 (assume @p4347 (forall (@list @t3979 @t349 @t1972 @t10) (= (tptp.c_List_Olistrelp @t10 @t4649 @t349 @t3979) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5621 @t3979)) @t5612))))) % 3.49/3.72 (assume @p4348 (forall @t4990 (= (tptp.hAPP @t4986 @t48) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4988) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5626 @t5626) @t4987 (tptp.c_Product__Type_Omap__pair @t5626 @t4984 @t5626 @t4984 @t5625 @t5625)) (tptp.c_Wellfounded_Olex__prod @t10 @t4984 @t1972 @t4989))) (tptp.hAPP @t5593 (tptp.hAPP @t5592 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5372 @t5372) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2189 @t5589 @t4984) @t5623) (tptp.hAPP @t5585 @t5622))) @t5622))))))) % 3.49/3.72 (assume @p4349 (forall (@list @t101 @t5501 @t5491 @t66) (=> (tptp.hBOOL (tptp.hAPP @t5630 @t5560)) (not (= @t5491 @t5629))))) % 3.49/3.72 (assume @p4350 (forall (@list @t5388 @t349 @t610 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3655 @t5633)) (or @t3371 @t5446)))) % 3.49/3.72 (assume @p4351 (forall (@list @t5501 @t100 @t5491 @t101 @t10 @t66) (= (tptp.hAPP (tptp.hAPP @t5503 @t5634) (tptp.hAPP (tptp.hAPP @t5624 @t100) @t5501)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5506) @t2499) @t5505)))) % 3.49/3.72 (assume @p4352 (forall @t5487 (= @t5633 @t5545))) % 3.49/3.72 (assume @p4353 (forall @t5484 (tptp.hBOOL (tptp.hAPP @t5635 @t5633)))) % 3.49/3.72 (assume @p4354 (forall (@list @t168 @t5388 @t349 @t2 @t10 @t92) (= (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5639 @t168) (tptp.hAPP @t566 @t5636)))) % 3.49/3.72 (assume @p4355 (forall @t5640 (not (= @t5491 @t5634)))) % 3.49/3.72 (assume @p4356 (forall @t5641 (not (= @t5634 @t5491)))) % 3.49/3.72 (assume @p4357 (forall (@list @t5642 @t378 @t5408 @t168 @t10) (= (= @t5644 (tptp.hAPP (tptp.hAPP @t5624 @t378) @t5642)) (and @t379 (= @t5408 @t5642))))) % 3.49/3.72 (assume @p4358 (forall (@list @t30 @t29 @t32 @t33 @t1972 @t10) (= (tptp.c_List_Olistrelp @t10 @t1972 (tptp.hAPP (tptp.hAPP @t5624 @t33) @t32) (tptp.hAPP @t5645 @t30)) (and (tptp.hBOOL (tptp.hAPP @t4975 @t29)) (tptp.c_List_Olistrelp @t10 @t1972 @t32 @t30))))) % 3.49/3.72 (assume @p4359 (forall (@list @t5387 @t5388 @t10 @t610 @t349 @t1972) (=> (tptp.hBOOL (tptp.hAPP @t4886 @t610)) (=> (tptp.c_List_Olistrelp @t10 @t1972 @t5388 @t5387) (tptp.c_List_Olistrelp @t10 @t1972 @t5632 @t5647))))) % 3.49/3.72 (assume @p4360 (forall @t5550 (= (tptp.hAPP @t5395 @t5639) (tptp.hAPP (tptp.hAPP @t5624 @t566) @t5397)))) % 3.49/3.72 (assume @p4361 (forall (@list @t5491 @t66 @t100 @t101) (and (=> @t102 (= @t5650 @t5491)) (=> @t428 (= @t5650 (tptp.hAPP @t5648 @t5492)))))) % 3.49/3.72 (assume @p4362 (forall (@list @t5387 @t92 @t610 @t349 @t2 @t10) (=> @t622 (and (=> @t2893 (= @t5653 (tptp.hAPP @t5638 @t5652))) (=> (not @t2893) (= @t5653 (tptp.hAPP @t5651 (tptp.hAPP @t5555 @t5387)))))))) % 3.49/3.72 (assume @p4363 (forall @t5487 (= (tptp.hBOOL (tptp.hAPP @t5464 @t5632)) @t5572))) % 3.49/3.72 (assume @p4364 (forall (@list @t5654 @t905 @t92 @t10 @t311 @t485) (and (=> @t5657 (= @t5656 (tptp.hAPP @t387 @t905))) (=> (not @t5657) (= @t5656 (tptp.hAPP (tptp.c_Map_Omap__of @t10 @t92 @t5654) @t311)))))) % 3.49/3.72 (assume @p4365 (forall (@list @t5658 @t249 @t66) (= (tptp.hAPP @t5542 (tptp.hAPP @t5659 @t5658)) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t5542 @t5658)) @t259)))) % 3.49/3.72 (assume @p4366 (forall @t5662 (=> @t4300 (=> @t5613 (tptp.hBOOL (tptp.hAPP @t5661 @t5612)))))) % 3.49/3.72 (assume @p4367 (forall (@list @t5348 @t1553 @t92 @t10) (= (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.hAPP @t5655 @t1553) @t5348)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t5355) @t2509) (tptp.hAPP @t387 @t2543))))) % 3.49/3.72 (assume @p4368 (forall @t5663 (= (tptp.hBOOL (tptp.hAPP @t5661 @t4985)) (or (and @t4300 @t5604) (and @t620 (tptp.hBOOL (tptp.hAPP @t5565 @t4985))))))) % 3.49/3.72 (assume @p4369 (forall (@list @t5388 @t349 @t1972 @t10) (= (tptp.hAPP @t5666 (tptp.hAPP (tptp.hAPP @t5665 @t5632) @t5664)) (tptp.c_List_Oset__Cons @t10 @t4290 (tptp.hAPP @t5666 (tptp.hAPP (tptp.hAPP @t5665 @t5388) @t5664)))))) % 3.49/3.72 (assume @p4370 (forall (@list @t4079 @t1261 @t10) (= (tptp.c_List_Oset__Cons @t10 @t1261 @t4079) (tptp.hAPP @t5601 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2309 tptp.tc_HOL_Obool @t4984) @t4898) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5670 @t2309 @t4984) (tptp.hAPP (tptp.c_COMBB @t5372 tptp.tc_HOL_Obool @t10) (tptp.c_HOL_OEx @t4984))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5670 @t5670) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5673 (tptp.tc_fun @t5670 @t5670) @t4984) (tptp.c_COMBS @t10 @t5372 @t5372)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5672 @t5673 @t4984) (tptp.hAPP (tptp.c_COMBB @t5586 @t5589 @t10) @t5588)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5670 @t5672 @t4984) (tptp.hAPP (tptp.c_COMBB @t5372 @t5586 @t10) @t5585)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5671 @t5670) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5669 (tptp.tc_fun @t5671 @t5670) @t4984) (tptp.c_COMBB @t5668 @t5372 @t10)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5372 @t5669 @t4984) (tptp.c_COMBB @t4984 tptp.tc_HOL_Obool @t4984)) tptp.c_fequal))) @t5624))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5372 @t5372) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2189 @t5589 @t10) @t5623) @t4489)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5372 tptp.tc_HOL_Obool) @t5667) @t4079))))))))) % 3.49/3.72 (assume @p4371 (forall (@list @t1972 @t5388 @t5387 @t610 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t5647) @t5388)) @t5612)) (not (forall (@list @t267 @t5674) (=> (= @t5388 (tptp.hAPP @t5675 @t5674)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t4466 @t267)) @t1972)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5617 @t5674)) @t5612)))))))))) % 3.49/3.72 (assume @p4372 (forall (@list @t1972 @t5387 @t610 @t5388 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5563 @t5647)) @t5612)) (not (forall (@list @t4 @t5676) (=> (= @t5388 (tptp.hAPP @t5677 @t5676)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t3766 @t610)) @t1972)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t5676) @t5387)) @t5612)))))))))) % 3.49/3.72 (assume @p4373 (forall @t5682 (= (tptp.hAPP @t5536 @t5681) (tptp.hAPP @t3081 (tptp.hAPP @t4790 @t5680))))) % 3.49/3.72 (assume @p4374 (forall (@list @t5491 @t101 @t66 @t471) (and (=> @t5685 (= @t5684 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t66) @t101))) (=> (not @t5685) (= @t5684 (tptp.hAPP (tptp.c_Random_Opick @t66 @t5491) (tptp.hAPP @t2098 @t5683))))))) % 3.49/3.72 (assume @p4375 (forall @t5682 (=> @t5483 (tptp.hBOOL (tptp.hAPP @t5464 @t5681))))) % 3.49/3.72 (assume @p4376 (forall @t5688 (=> @t5687 @t5485))) % 3.49/3.72 (assume @p4377 (forall @t5688 (=> @t5486 (not @t5687)))) % 3.49/3.72 (assume @p4378 (forall @t5682 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5686) @t5424)))) % 3.49/3.72 (assume @p4379 (forall @t5487 (= (tptp.c_Random_Oselect__weight @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5691) (tptp.hAPP (tptp.hAPP @t5690 @t1967) @t349)) @t5388)) @t5689))) % 3.49/3.72 (assume @p4380 (forall @t5695 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2104 @t143) @t5694)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP @t5693 @t143)) @t5692))))) % 3.49/3.72 (assume @p4381 (forall @t5641 (=> @t330 (= (tptp.hAPP @t5696 @t5634) (tptp.hAPP @t1474 @t5697))))) % 3.49/3.72 (assume @p4382 (forall @t5701 (=> @t1417 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 @t2849) @t5388)) (tptp.hAPP (tptp.hAPP @t1414 @t5700) @t5699))))) % 3.49/3.72 (assume @p4383 (forall (@list @t5388 @t2 @t20 @t92 @t10) (=> @t2843 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 (tptp.hAPP (tptp.hAPP @t2740 @t845) @t2)) @t5388)) (tptp.hAPP @t845 @t5700))))) % 3.49/3.72 (assume @p4384 (forall (@list @t5388 @t20 @t2 @t92 @t10) (=> @t2843 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 (tptp.hAPP @t2846 @t20)) @t5388)) (tptp.hAPP (tptp.hAPP @t704 @t5700) @t20))))) % 3.49/3.72 (assume @p4385 (forall @t5701 (=> @t2818 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 @t2840) @t5388)) (tptp.hAPP (tptp.hAPP @t287 @t5700) @t5699))))) % 3.49/3.72 (assume @p4386 (forall @t5466 (=> @t5702 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 @t2834) @t5388)) @t331)))) % 3.49/3.72 (assume @p4387 (forall @t5402 (=> @t1586 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 (tptp.hAPP @t1584 @t5703)) (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5400 @t1584) @t5388))))))) % 3.49/3.72 (assume @p4388 (forall @t5428 (=> @t1417 (= (tptp.hAPP @t700 @t5700) (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t10 @t92 @t700) @t2)) @t5388)))))) % 3.49/3.72 (assume @p4389 (forall @t5402 (=> @t2818 (=> @t5483 (= @t5703 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t10 @t10) @t2159) @t5424)))))) % 3.49/3.72 (assume @p4390 (forall @t5402 (= @t5689 (tptp.hAPP (tptp.hAPP @t5706 (tptp.c_Random_Orange @t5694)) (tptp.hAPP @t5705 @t5693))))) % 3.49/3.72 (assume @p4391 (forall (@list @t2 @t5388 @t10 @t92) (=> @t3044 (=> @t5483 (= @t5708 (tptp.hAPP @t3042 @t5424)))))) % 3.49/3.72 (assume @p4392 (forall (@list @t1477 @t316 @t2 @t10) (=> @t2818 (= (tptp.hAPP @t5698 (tptp.hAPP @t5710 @t5709)) (tptp.hAPP @t3075 (tptp.hAPP @t5475 @t5709)))))) % 3.49/3.72 (assume @p4393 (forall (@list @t1483 @t143 @t2 @t10) (=> @t2818 (= (tptp.hAPP @t3075 @t5477) (tptp.hAPP @t5698 (tptp.hAPP @t5710 @t5476)))))) % 3.49/3.72 (assume @p4394 (forall (@list @t5388 @t1972 @t92 @t10) (=> @t145 (= (tptp.hAPP @t5698 (tptp.hAPP (tptp.hAPP @t5394 (tptp.hAPP @t2508 @t1972)) @t5388)) (tptp.hAPP (tptp.hAPP @t704 (tptp.hAPP @t568 @t5535)) @t1972))))) % 3.49/3.72 (assume @p4395 (forall (@list @t2 @t5388 @t349 @t10 @t92) (=> @t3044 (=> @t5485 (= @t5708 (tptp.hAPP (tptp.hAPP @t3396 @t566) (tptp.hAPP @t5707 (tptp.hAPP @t5375 @t5481)))))))) % 3.49/3.72 (assume @p4396 (forall @t5712 (=> (tptp.hBOOL (tptp.hAPP @t2557 @t5694)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP @t5711 (tptp.hAPP @t5689 @t18))) @t5692))))) % 3.49/3.72 (assume @p4397 (forall @t3386 (=> @t3044 (and (=> @t3355 (= @t5713 (tptp.hAPP @t5707 (tptp.hAPP @t5375 @t5611)))) (=> @t3383 (= @t5713 @t3381)))))) % 3.49/3.72 (assume @p4398 (forall @t3058 (=> (tptp.hBOOL (tptp.hAPP @t3317 (tptp.hAPP (tptp.hAPP @t2130 @t143) @t1483))) (and (=> @t5715 (= @t5476 (tptp.hAPP (tptp.hAPP @t5716 @t143) @t5479))) (=> (not @t5715) (= @t5476 @t5714)))))) % 3.49/3.72 (assume @p4399 (forall @t5616 (=> (tptp.hBOOL (tptp.hAPP @t5719 @t5612)) @t5718))) % 3.49/3.72 (assume @p4400 (forall @t5616 (=> (tptp.hBOOL (tptp.hAPP @t5721 @t5612)) @t5718))) % 3.49/3.72 (assume @p4401 (forall (@list @t5722) (= (= (tptp.hAPP @t5726 @t5722) @t199) @t5725))) % 3.49/3.72 (assume @p4402 (forall @t385 (=> @t330 (= (tptp.hAPP @t5696 @t5727) @t326)))) % 3.49/3.72 (assume @p4403 (forall @t5730 (= (= @t5397 @t5717) @t5729))) % 3.49/3.72 (assume @p4404 (forall @t3475 (= (tptp.hAPP @t5395 @t5728) @t5717))) % 3.49/3.72 (assume @p4405 (forall @t5428 (= (= @t5717 @t5397) @t5729))) % 3.49/3.72 (assume @p4406 (forall @t1975 (tptp.c_List_Olistrelp @t10 @t1972 @t5717 @t5717))) % 3.49/3.72 (assume @p4407 (forall (@list @t5388 @t168 @t2 @t10 @t92) (=> @t5549 (not (= (tptp.hAPP @t5731 @t5388) @t5717))))) % 3.49/3.72 (assume @p4408 (forall @t385 (tptp.hBOOL (tptp.hAPP @t5493 @t5727)))) % 3.49/3.72 (assume @p4409 (forall @t353 (= (tptp.c_List_Oremove1 @t66 @t101 @t5727) @t5727))) % 3.49/3.72 (assume @p4410 (forall (@list @t168 @t2 @t10 @t92) (= (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5728 @t168) @t168))) % 3.49/3.72 (assume @p4411 (forall @t498 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t584 @t473) @t471)) @t5732))) % 3.49/3.72 (assume @p4412 (forall (@list @t5501 @t10 @t66) (= (tptp.hAPP (tptp.hAPP @t5503 @t5727) @t5501) @t5733))) % 3.49/3.72 (assume @p4413 (forall (@list @t5491 @t10 @t66) (= (tptp.hAPP @t5504 @t5717) @t5733))) % 3.49/3.72 (assume @p4414 (forall @t385 (= (tptp.hAPP @t5542 @t5727) @t199))) % 3.49/3.72 (assume @p4415 (forall @t5402 (= (= @t5557 @t199) @t5718))) % 3.49/3.72 (assume @p4416 (forall @t1752 (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t10 @t3465) @t5717)))) % 3.49/3.72 (assume @p4417 (forall @t5402 (= (= @t5424 @t3465) @t5718))) % 3.49/3.72 (assume @p4418 (forall @t5402 (= (= @t3465 @t5424) @t5718))) % 3.49/3.72 (assume @p4419 (forall @t1752 (= (tptp.hAPP @t5423 @t5717) @t3465))) % 3.49/3.72 (assume @p4420 (forall @t5736 (not (= @t5727 @t5735)))) % 3.49/3.72 (assume @p4421 (forall @t5736 (not (= @t5735 @t5727)))) % 3.49/3.72 (assume @p4422 (forall @t5441 (=> @t5549 (= (tptp.hAPP @t5547 @t5717) @t5737)))) % 3.49/3.72 (assume @p4423 (forall @t5402 (= (tptp.c_List_Osublist @t10 @t5388 @t3460) @t5717))) % 3.49/3.72 (assume @p4424 (forall @t2536 (= (tptp.c_List_Osublist @t10 @t5717 @t1261) @t5717))) % 3.49/3.72 (assume @p4425 (forall @t5402 (= @t5573 @t5738))) % 3.49/3.72 (assume @p4426 (forall @t1975 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 @t5739) @t5612)))) % 3.49/3.72 (assume @p4427 (forall (@list @t1972 @t5387 @t10) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5720 @t5387)) @t4985))))) % 3.49/3.72 (assume @p4428 (forall @t5616 (not (tptp.hBOOL (tptp.hAPP @t5719 @t4985))))) % 3.49/3.72 (assume @p4429 (forall @t499 (and (=> @t953 (= @t5478 (tptp.hAPP (tptp.hAPP @t5716 @t471) (tptp.c_List_Oupto (tptp.hAPP @t645 @t686) @t473)))) (=> (not @t953) @t5732)))) % 3.49/3.72 (assume @p4430 (forall (@list @t349 @t10 @t1261) (and (=> @t5742 (= @t5740 @t5737)) (=> (not @t5742) (= @t5740 @t5717))))) % 3.49/3.72 (assume @p4431 (forall @t305 (and (=> @t5745 (= @t5744 (tptp.hAPP (tptp.hAPP @t5716 @t5743) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t581 @t5743) @t686) @t1932)))) (=> (not @t5745) (= @t5744 @t5714))))) % 3.49/3.72 (assume @p4432 (forall @t1975 (= (tptp.hAPP @t5666 @t5746) @t5746))) % 3.49/3.72 (assume @p4433 (forall @t2536 (= (tptp.c_List_Oset__Cons @t10 @t1261 @t5746) (tptp.hAPP (tptp.c_Set_Oimage @t10 @t4984 @t5748) @t1261)))) % 3.49/3.72 (assume @p4434 (forall @t5751 (=> @t5738 (= (tptp.c_Random_Oselect__weight @t10 @t5750) @t5749)))) % 3.49/3.72 (assume @p4435 (forall (@list @t18 @t10 @t5388) (=> @t5738 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 (tptp.hAPP @t5711 (tptp.hAPP @t5749 @t18))) @t5424))))) % 3.49/3.72 (assume @p4436 (forall (@list @t4926 @t10 @t66) (= (tptp.hAPP (tptp.c_Map_Omap__of @t66 @t10 @t5733) @t4926) @t356))) % 3.49/3.72 (assume @p4437 (forall (@list @t311 @t66 @t10) (= (tptp.hAPP (tptp.c_Map_Omap__of @t10 @t66 (tptp.c_List_Olist_ONil @t5502)) @t311) @t359))) % 3.49/3.72 (assume @p4438 (forall @t2629 (and (=> @t2627 (= @t5758 @t5757)) (=> @t2628 (= @t5758 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5753 @t2388 @t5757 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t5753) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5754 @t5754) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5756 (tptp.tc_fun @t5754 @t5754) @t10) (tptp.c_COMBB @t5753 @t5753 @t92)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5755 @t5756 @t10) (tptp.c_Product__Type_Oprod_Oprod__case @t4984 @t92 @t5753)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5668 @t5755 @t10) (tptp.hAPP (tptp.c_COMBB @t4984 @t5754 @t4984) @t5752)) @t5624)))) (tptp.c_Lazy__Sequence_Oanamorph @t92 @t10 @t2 @t2624)))) @t566)))))) % 3.49/3.72 (assume @p4439 (forall @t1752 (= (tptp.c_List_Olistset @t10 (tptp.c_List_Olist_ONil @t2309)) @t5746))) % 3.49/3.72 (assume @p4440 (forall (@list @t5759 @t1261 @t10) (= (tptp.c_List_Olistset @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t2309) @t1261) @t5759)) (tptp.c_List_Oset__Cons @t10 @t1261 (tptp.c_List_Olistset @t10 @t5759))))) % 3.49/3.72 (assume @p4441 (forall (@list @t5387 @t5388 @t349 @t92 @t10) (= (tptp.hAPP (tptp.hAPP @t5498 @t5632) @t5387) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5760 @t92 @t5763 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t5762 @t5762) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5761 (tptp.tc_fun @t5762 @t5762) @t92) (tptp.c_COMBB @t5760 @t5760 @t5376)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2388 @t5761 @t92) @t5655) @t2372))) @t5499)) @t5387)))) % 3.49/3.72 (assume @p4442 (forall (@list @t5387 @t610 @t5388 @t92 @t10) (= (tptp.hAPP @t5499 @t5652) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5760 @t10 @t5763 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t5764 @t5764) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5761 (tptp.tc_fun @t5764 @t5764) @t10) (tptp.c_COMBB @t5760 @t5760 @t4984)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2388 @t5761 @t10) @t5655) (tptp.hAPP @t4711 @t610)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5376 @t5760) @t5498) @t5387))) @t5388)))) % 3.49/3.72 (assume @p4443 (forall (@list @t5408 @t168 @t75 @t76 @t92 @t10) (= (tptp.hAPP @t5765 (tptp.hAPP (tptp.hAPP @t5637 @t168) @t5408)) (tptp.hAPP @t386 @t5408)))) % 3.49/3.72 (assume @p4444 (forall @t392 (= (tptp.hAPP @t5765 @t5728) @t76))) % 3.49/3.72 (assume @p4445 (forall @t5402 (= @t5749 (tptp.hAPP (tptp.hAPP @t5706 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5557))) (tptp.hAPP @t5705 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t10 tptp.tc_Code__Numeral_Ocode__numeral) @t5767) tptp.c_Code__Numeral_Onat__of)))))) % 3.49/3.72 (assume @p4446 (forall (@list @t5388 @t10 @t1477) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t1477) @t5557)) (= (tptp.hAPP (tptp.c_Random_Opick @t10 @t5750) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1477)) (tptp.hAPP @t5767 @t1477))))) % 3.49/3.72 (assume @p4447 (forall (@list @t19 @t5388 @t349 @t10) (= (tptp.hAPP (tptp.hAPP @t5766 @t5632) @t19) (tptp.c_Nat_Onat_Onat__case @t10 @t349 @t5767 @t19)))) % 3.49/3.72 (assume @p4448 (forall @t5641 (= (tptp.hAPP @t5769 @t199) @t101))) % 3.49/3.72 (assume @p4449 (forall (@list @t65 @t5491 @t101 @t66) (= (tptp.hAPP @t5769 @t67) @t5771))) % 3.49/3.72 (assume @p4450 (forall (@list @t2 @t92 @t5388 @t10 @t19) (=> @t5774 (= (tptp.hAPP (tptp.hAPP @t5773 @t5391) @t19) (tptp.hAPP @t2 @t5772))))) % 3.49/3.72 (assume @p4451 (forall @t5779 (= @t5778 (forall @t1187 (=> @t5776 (tptp.hBOOL (tptp.hAPP @t55 @t5775))))))) % 3.49/3.72 (assume @p4452 (forall @t5402 (= @t5483 (forall @t1187 (=> @t5776 (forall @t519 (=> @t5781 (=> (not (= @t1183 @t517)) (not (= @t5775 @t5780)))))))))) % 3.49/3.72 (assume @p4453 (forall @t5786 (=> @t5483 (=> @t5785 (=> (tptp.hBOOL (tptp.hAPP @t5784 @t5557)) (= (= @t5783 @t5782) (= @t143 @t1483))))))) % 3.49/3.72 (assume @p4454 (forall @t5605 (= @t5389 (and @t5604 (forall @t1187 (=> @t5776 (= @t5775 (tptp.hAPP @t5787 @t1183)))))))) % 3.49/3.72 (assume @p4455 (forall (@list @t5501 @t10 @t5491 @t66 @t471) (=> @t5789 (=> (tptp.hBOOL (tptp.hAPP @t476 @t5540)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5506) @t5505) @t471) (tptp.hAPP (tptp.hAPP @t2378 @t5788) (tptp.hAPP (tptp.hAPP @t5766 @t5501) @t471))))))) % 3.49/3.72 (assume @p4456 (forall (@list @t5790 @t311) (=> @t5796 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t5793) @t5791))))) % 3.49/3.72 (assume @p4457 (forall (@list @t5388 @t10 @t19) (=> @t5774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t5772) @t5424))))) % 3.49/3.72 (assume @p4458 (forall @t5487 (= @t5485 (exists @t1187 (and @t5776 (= @t5775 @t349)))))) % 3.49/3.72 (assume @p4459 (forall @t5798 (and (=> @t342 (= @t5797 @t101)) (=> @t410 (= @t5797 (tptp.hAPP @t5770 @t1542)))))) % 3.49/3.72 (assume @p4460 (forall @t5402 (= @t5424 (tptp.hAPP @t4800 (tptp.hAPP @t5803 (tptp.hAPP @t5801 @t5678)))))) % 3.49/3.72 (assume @p4461 (forall @t5806 (and (=> @t1765 (= @t5804 @t101)) (=> @t5805 (= @t5804 (tptp.hAPP @t5770 @t1558)))))) % 3.49/3.72 (assume @p4462 (forall @t5402 (=> @t2818 (= @t5703 (tptp.hAPP (tptp.hAPP @t2815 @t5767) (tptp.hAPP @t2938 @t5557)))))) % 3.49/3.72 (assume @p4463 (forall @t5682 (= @t5686 (tptp.hAPP @t4800 (tptp.hAPP @t5803 (tptp.hAPP @t5801 @t5680)))))) % 3.49/3.72 (assume @p4464 (forall @t5614 (= @t5613 (and @t5604 (forall @t17 (=> @t5808 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5807 (tptp.hAPP @t5787 @t9))) @t1972)))))))) % 3.49/3.72 (assume @p4465 (forall @t5453 (= @t5521 (tptp.hAPP @t4816 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 tptp.tc_HOL_Obool @t2388) @t5802) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2388 @t2184 @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2885 @t2887 @t2388) @t2886) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2184 @t2885 @t2388) @t2884) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2388 @t5810 @t2184) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3424 (tptp.tc_fun @t5810 @t2184) @t2388) (tptp.c_COMBB @t2388 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t92 @t2388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2390 tptp.tc_Nat_Onat) @t2349) @t5767)) @t5809))))) (tptp.hAPP @t4787 (tptp.hAPP (tptp.hAPP @t2448 @t5557) @t5569)))))))) % 3.49/3.72 (assume @p4466 (forall @t5813 (=> @t622 (=> (not @t5812) (= @t5811 @t5556))))) % 3.49/3.72 (assume @p4467 (forall (@list @t143 @t168 @t5388 @t10) (=> @t5483 (=> (not (tptp.hBOOL (tptp.hAPP @t3595 (tptp.hAPP @t5480 (tptp.hAPP (tptp.hAPP @t3360 @t5783) @t3465))))) (tptp.hBOOL (tptp.hAPP @t5464 (tptp.hAPP @t5815 @t168))))))) % 3.49/3.72 (assume @p4468 (forall (@list @t101 @t5491 @t66 @t473 @t471) @t5823)) % 3.49/3.72 (assume @p4469 (forall @t5824 (= (tptp.hAPP @t5818 @t5788) @t5491))) % 3.49/3.72 (assume @p4470 (forall (@list @t100 @t471 @t66) (= (tptp.hAPP @t5825 @t100) @t5727))) % 3.49/3.72 (assume @p4471 (forall (@list @t905 @t471 @t66) (= (tptp.hAPP @t5825 @t905) @t5727))) % 3.49/3.72 (assume @p4472 (forall (@list @t349 @t316 @t5388 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5814 @t316) @t349) @t5717) @t5718))) % 3.49/3.72 (assume @p4473 (forall (@list @t100 @t5501 @t101 @t471 @t5491 @t10 @t66) (= (tptp.hAPP (tptp.hAPP @t5503 @t5819) (tptp.hAPP @t5827 @t100)) (tptp.hAPP @t5826 @t2499)))) % 3.49/3.72 (assume @p4474 (forall (@list @t5828 @t471 @t5501 @t5491 @t10 @t66) (= (tptp.hAPP @t5826 @t5828) (tptp.hAPP (tptp.hAPP @t5503 (tptp.hAPP @t5818 (tptp.hAPP @t2500 @t5828))) (tptp.hAPP @t5827 (tptp.hAPP @t2501 @t5828)))))) % 3.49/3.72 (assume @p4475 (forall @t5829 (= (tptp.hAPP @t5542 @t5819) @t5543))) % 3.49/3.72 (assume @p4476 (forall (@list @t100 @t101 @t471 @t5491 @t66) (= (tptp.hAPP (tptp.hAPP @t5831 @t471) @t100) @t5830))) % 3.49/3.72 (assume @p4477 (forall (@list @t5832 @t101 @t5491 @t66 @t5833 @t471) (=> (not (= @t471 @t5833)) (= (tptp.hAPP (tptp.hAPP @t5831 @t5833) @t5832) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t66 (tptp.hAPP (tptp.hAPP @t5817 @t5833) @t5832)) @t471) @t101))))) % 3.49/3.72 (assume @p4478 (forall (@list @t349 @t2 @t5388 @t10 @t92) (=> @t5549 (=> @t5483 (tptp.hBOOL (tptp.hAPP @t5464 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t10 @t92 @t2 @t349 @t5388))))))) % 3.49/3.72 (assume @p4479 (forall @t5829 (=> (tptp.hBOOL (tptp.hAPP @t5630 @t471)) (= @t5819 @t5491)))) % 3.49/3.72 (assume @p4480 (forall (@list @t610 @t316 @t5388 @t2 @t10 @t92) (= (tptp.hAPP @t5395 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t92 @t5388) @t316) @t610)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5397) @t316) @t2371)))) % 3.49/3.72 (assume @p4481 (forall (@list @t100 @t471 @t5491 @t101 @t66) (= (tptp.hAPP (tptp.hAPP @t5834 @t472) @t100) (tptp.hAPP @t5628 @t5830)))) % 3.49/3.72 (assume @p4482 (forall (@list @t100 @t5491 @t101 @t66) (= (tptp.hAPP (tptp.hAPP @t5834 @t199) @t100) @t5649))) % 3.49/3.72 (assume @p4483 (forall (@list @t1624 @t143 @t5388 @t349 @t10) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t10 @t5632) @t143) @t1624) (tptp.c_Nat_Onat_Onat__case @t4984 (tptp.hAPP (tptp.hAPP @t5624 @t1624) @t5388) (tptp.hAPP @t5835 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t10 @t4984) @t5814) @t1624)) @t143)))) % 3.49/3.72 (assume @p4484 (forall (@list @t143 @t349 @t1261 @t5388 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5635 @t1261)) (=> @t3581 (tptp.hBOOL (tptp.hAPP @t5837 @t1261)))))) % 3.49/3.72 (assume @p4485 (forall (@list @t349 @t143 @t5388 @t10) (tptp.hBOOL (tptp.hAPP @t5837 @t5545)))) % 3.49/3.72 (assume @p4486 (forall (@list @t101 @t473 @t5491 @t66 @t471) (=> @t5789 (and (=> @t5822 (= @t5821 @t101)) @t5823)))) % 3.49/3.72 (assume @p4487 (forall (@list @t349 @t5388 @t10 @t143) (=> @t5785 (= (= @t5836 @t5388) (= @t5783 @t349))))) % 3.49/3.72 (assume @p4488 (forall (@list @t101 @t5491 @t66 @t471) (=> @t5789 (= (tptp.hAPP @t5820 @t471) @t101)))) % 3.49/3.72 (assume @p4489 (forall (@list @t349 @t5388 @t10 @t19) (=> @t5774 (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 (tptp.hAPP (tptp.hAPP @t5814 @t19) @t349))))))) % 3.49/3.72 (assume @p4490 (forall @t5487 (=> @t622 (=> @t5485 (= @t5838 @t5388))))) % 3.49/3.72 (assume @p4491 (forall @t5487 (=> @t622 (= (tptp.hAPP @t5423 @t5838) @t5545)))) % 3.49/3.72 (assume @p4492 (forall (@list @t65 @t5790 @t311) (=> @t5796 (= (tptp.hAPP @t5726 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5790) @t311) @t65)) (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP (tptp.hAPP @t260 @t5791) @t65)) @t5793))))) % 3.49/3.72 (assume @p4493 (forall @t5813 (=> @t622 (=> @t5812 (= @t5811 @t5388))))) % 3.49/3.72 (assume @p4494 (forall @t5487 (=> @t622 (=> @t5486 (= @t5838 @t5551))))) % 3.49/3.72 (assume @p4495 (forall (@list @t1261 @t1477 @t349 @t10) (= (tptp.c_List_Osublist @t10 @t5840 @t1261) (tptp.hAPP (tptp.hAPP @t5839 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t4984) @t5741) @t5737) @t5717)) (tptp.c_List_Osublist @t10 @t1477 (tptp.hAPP @t4790 (tptp.hAPP @t4795 @t1261))))))) % 3.49/3.72 (assume @p4496 (forall (@list @t1972 @t610 @t21 @t349 @t168 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t5845) @t5844)) @t5841)) (or @t4293 (and @t703 @t5843))))) % 3.49/3.72 (assume @p4497 (forall (@list @t5501 @t101 @t5491 @t66) (= (tptp.hAPP (tptp.hAPP @t5768 @t5848) @t5543) @t101))) % 3.49/3.72 (assume @p4498 (forall (@list @t65 @t5501 @t5491 @t66) (= (tptp.hAPP @t5852 (tptp.hAPP @t5850 @t65)) (tptp.hAPP @t5849 @t65)))) % 3.49/3.72 (assume @p4499 (forall (@list @t5853 @t5501 @t5855 @t10 @t5491 @t66) (=> (= @t5543 (tptp.hAPP @t5536 @t5855)) (=> (= @t5560 (tptp.hAPP @t5536 @t5853)) (= (tptp.hAPP @t5857 (tptp.hAPP (tptp.hAPP @t5839 @t5855) @t5853)) (tptp.hAPP (tptp.hAPP @t5856 (tptp.hAPP @t5504 @t5855)) (tptp.hAPP @t5854 @t5853))))))) % 3.49/3.72 (assume @p4500 (forall @t5561 (= (tptp.hAPP @t5542 @t5851) (tptp.hAPP @t5850 @t5560)))) % 3.49/3.72 (assume @p4501 (forall (@list @t101 @t5501 @t5491 @t66 @t471) (=> @t5789 (= (tptp.hAPP (tptp.hAPP @t5858 @t471) @t101) (tptp.hAPP (tptp.hAPP @t5846 @t5819) @t5501))))) % 3.49/3.72 (assume @p4502 (forall (@list @t100 @t5501 @t101 @t5491 @t66) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t66 @t5848) @t5543) @t100) (tptp.hAPP @t5847 @t5859)))) % 3.49/3.72 (assume @p4503 (forall @t5863 (and (=> @t5485 (= @t5862 (tptp.hAPP (tptp.hAPP @t5839 @t5481) @t5387))) (=> @t5486 (= @t5862 (tptp.hAPP @t5860 (tptp.c_List_Oremove1 @t10 @t349 @t5387))))))) % 3.49/3.72 (assume @p4504 (forall (@list @t5388 @t349 @t5510 @t5387 @t10) (= (= @t5870 @t5632) (or (and @t5868 (= @t5510 @t5632)) (exists @t5867 (and (= @t5387 @t5866) (= @t5865 @t5388))))))) % 3.49/3.72 (assume @p4505 (forall (@list @t5510 @t5387 @t5388 @t349 @t10) (= (= @t5632 @t5870) (or (and @t5868 (= @t5632 @t5510)) (exists @t5867 (and (= @t5866 @t5387) (= @t5388 @t5865))))))) % 3.49/3.72 (assume @p4506 (forall (@list @t610 @t5387 @t349 @t5388 @t10) (= (= @t5873 @t5872) (and @t5389 @t620)))) % 3.49/3.72 (assume @p4507 (forall (@list @t610 @t349 @t1524 @t1972 @t21 @t168 @t10) (=> @t4293 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 (tptp.hAPP @t5874 @t5845)) (tptp.hAPP @t5874 @t5844))) @t5841))))) % 3.49/3.72 (assume @p4508 (forall (@list @t5501 @t5491 @t101 @t66) (= (tptp.hAPP (tptp.hAPP @t5846 @t5634) @t5501) (tptp.hAPP @t5628 @t5851)))) % 3.49/3.72 (assume @p4509 (forall (@list @t5489 @t5491 @t5501 @t5876 @t101 @t66) (=> (= (tptp.hAPP @t5628 @t5876) @t5501) (=> (= @t5491 (tptp.hAPP @t5877 @t5489)) (= @t5634 @t5875))))) % 3.49/3.72 (assume @p4510 (forall @t5561 (=> @t330 (= (tptp.hAPP @t5696 @t5851) (tptp.hAPP (tptp.hAPP @t274 @t5697) (tptp.hAPP @t5696 @t5501)))))) % 3.49/3.72 (assume @p4511 (forall @t5399 (= (tptp.hAPP @t5395 @t5879) (tptp.hAPP (tptp.hAPP @t5839 @t5397) @t5396)))) % 3.49/3.72 (assume @p4512 (forall @t5880 (= (tptp.hAPP @t5423 @t5861) @t5443))) % 3.49/3.72 (assume @p4513 (forall (@list @t5855 @t5501 @t5489 @t5876 @t5491 @t66) (=> (= (tptp.hAPP @t5847 @t5876) @t5489) (=> (= @t5501 (tptp.hAPP @t5877 @t5855)) (= @t5851 (tptp.hAPP (tptp.hAPP @t5846 @t5489) @t5855)))))) % 3.49/3.72 (assume @p4514 (forall (@list @t5510 @t5388 @t5387 @t10) (= (= (tptp.hAPP @t5869 @t5388) (tptp.hAPP @t5881 @t5388)) @t5568))) % 3.49/3.72 (assume @p4515 (forall @t5883 (= (= @t5861 @t5882) @t5568))) % 3.49/3.72 (assume @p4516 (forall (@list @t12 @t5510 @t5387 @t5388 @t10) (= (= @t5861 (tptp.hAPP @t5881 @t12)) (exists (@list @t5884) (or (and (= @t5388 (tptp.hAPP @t5881 @t5884)) (= (tptp.hAPP @t5885 @t5387) @t12)) (and (= (tptp.hAPP @t5860 @t5884) @t5510) (= @t5387 (tptp.hAPP @t5885 @t12)))))))) % 3.49/3.72 (assume @p4517 (forall (@list @t5489 @t5501 @t5491 @t66) (= (tptp.hAPP (tptp.hAPP @t5846 @t5851) @t5489) (tptp.hAPP @t5847 @t5875)))) % 3.49/3.72 (assume @p4518 (forall @t5453 (= (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2388) @t5388) @t5387)) (tptp.c_Map_Omap__add @t10 @t92 @t5450 @t5451)))) % 3.49/3.72 (assume @p4519 (forall (@list @t168 @t5387 @t5388 @t2 @t10 @t92) (= (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5879 @t168) (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5388 (tptp.c_List_Ofoldr @t92 @t10 @t2 @t5387 @t168))))) % 3.49/3.72 (assume @p4520 (forall (@list @t349 @t1972 @t1624 @t1524 @t10) (=> @t5888 @t5887))) % 3.49/3.72 (assume @p4521 (forall (@list @t5501 @t66) (= @t5889 @t5501))) % 3.49/3.72 (assume @p4522 (forall @t5880 (= (= @t5717 @t5861) @t5890))) % 3.49/3.72 (assume @p4523 (forall @t5891 (= (tptp.hAPP @t5847 @t5727) @t5491))) % 3.49/3.72 (assume @p4524 (forall (@list @t5387 @t10 @t5388) (= (= @t5388 @t5861) @t5868))) % 3.49/3.72 (assume @p4525 (forall (@list @t5388 @t10 @t5387) (= (= @t5387 @t5861) @t5718))) % 3.49/3.72 (assume @p4526 (forall @t5880 (= (= @t5861 @t5717) @t5890))) % 3.49/3.72 (assume @p4527 (forall @t5880 (= (= @t5861 @t5388) @t5868))) % 3.49/3.72 (assume @p4528 (forall @t5880 (= (= @t5861 @t5387) @t5718))) % 3.49/3.72 (assume @p4529 (forall (@list @t66 @t5501 @t5491) (=> @t5559 (= @t5491 @t5889)))) % 3.49/3.72 (assume @p4530 (forall @t5880 (= (tptp.hBOOL (tptp.hAPP @t5464 @t5861)) (and @t5483 @t5892 (= (tptp.hAPP (tptp.hAPP @t4324 @t5424) @t5442) @t3465))))) % 3.49/3.72 (assume @p4531 (forall (@list @t5501 @t5491 @t66 @t65) (and (=> @t5895 (= @t5894 @t5771)) (=> @t5896 (= @t5894 (tptp.hAPP @t5849 @t5893)))))) % 3.49/3.72 (assume @p4532 (forall (@list @t101 @t5501 @t5491 @t66 @t65) (and (=> @t5895 (= @t5897 (tptp.hAPP (tptp.hAPP @t5846 (tptp.hAPP (tptp.hAPP @t5817 @t65) @t101)) @t5501))) (=> @t5896 (= @t5897 (tptp.hAPP @t5847 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t66 @t5501) @t5893) @t101))))))) % 3.49/3.72 (assume @p4533 (forall @t4292 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5621 @t5717)) @t5841))))) % 3.49/3.72 (assume @p4534 (forall (@list @t1261 @t5898 @t1477 @t10) (= (tptp.c_List_Osublist @t10 (tptp.hAPP (tptp.hAPP @t5839 @t1477) @t5898) @t1261) (tptp.hAPP (tptp.hAPP @t5839 (tptp.c_List_Osublist @t10 @t1477 @t1261)) (tptp.c_List_Osublist @t10 @t5898 (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP @t4788 (tptp.hAPP @t4794 (tptp.hAPP @t2896 (tptp.hAPP @t5536 @t1477)))) @t1261))))))) % 3.49/3.72 (assume @p4535 (forall @t5115 (= (tptp.hBOOL (tptp.hAPP @t5842 @t4985)) (and @t5843 @t5901)))) % 3.49/3.72 (assume @p4536 (forall (@list @t349 @t314 @t5387 @t92 @t5388 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t5557) @t5569)) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5873 @t5387) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t5902) @t349) (tptp.hAPP @t387 (tptp.hAPP @t5809 @t5557))))))) % 3.49/3.72 (assume @p4537 (forall @t5115 (= @t5843 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t5900) @t5899)) (= (tptp.hAPP (tptp.hAPP @t5903 @t5900) @t610) @t349)) (exists @t1187 (and (tptp.hBOOL (tptp.hAPP @t1555 (tptp.hAPP (tptp.hAPP @t2448 @t5900) @t5899))) (= (tptp.hAPP @t5904 @t349) (tptp.hAPP @t5904 @t610)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 (tptp.hAPP (tptp.hAPP @t5766 @t349) @t1183)) (tptp.hAPP (tptp.hAPP @t5766 @t610) @t1183))) @t1972)))))))) % 3.49/3.72 (assume @p4538 (forall @t5909 (= (tptp.hAPP @t5906 @t5851) (tptp.hAPP @t5908 (tptp.hAPP (tptp.hAPP @t5905 @t5893) @t5501))))) % 3.49/3.72 (assume @p4539 (forall @t5910 (=> @t5570 (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5882 @t5387) @t5902)))) % 3.49/3.72 (assume @p4540 (forall @t5910 (=> @t5570 (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5388 (tptp.hAPP (tptp.hAPP @t5878 @t5387) @t5510)) @t5902)))) % 3.49/3.72 (assume @p4541 (forall (@list @t5911 @t314 @t92 @t10) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5911 @t5728) @t314))) % 3.49/3.72 (assume @p4542 (forall (@list @t5912 @t314 @t92 @t10) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5717 @t5912) @t314))) % 3.49/3.72 (assume @p4543 (forall @t873 (= (tptp.hAPP @t5906 @t5727) @t5727))) % 3.49/3.72 (assume @p4544 (forall @t5915 (= (= @t5914 @t5717) (or @t338 @t5718)))) % 3.49/3.72 (assume @p4545 (forall @t5891 (= (tptp.hAPP (tptp.hAPP @t5905 @t199) @t5491) @t5727))) % 3.49/3.72 (assume @p4546 (forall (@list @t19 @t1477 @t10) (= (tptp.c_List_Osublist @t10 @t1477 @t2735) (tptp.hAPP @t5913 @t1477)))) % 3.49/3.72 (assume @p4547 (forall @t5916 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5506) @t65) @t5505) (tptp.hAPP (tptp.hAPP @t5503 @t5907) (tptp.hAPP (tptp.hAPP @t5903 @t65) @t5501))))) % 3.49/3.72 (assume @p4548 (forall @t5918 (= (tptp.hAPP @t5906 @t5917) (tptp.hAPP (tptp.hAPP @t5905 (tptp.hAPP @t2454 @t235)) @t5491)))) % 3.49/3.72 (assume @p4549 (forall (@list @t5387 @t5388 @t5329 @t5330 @t92 @t10) (= (tptp.c_Map_Omap__add @t10 @t92 @t5330 (tptp.c_Map_Omap__upds @t10 @t92 @t5329 @t5388 @t5387)) (tptp.c_Map_Omap__upds @t10 @t92 @t5331 @t5388 @t5387)))) % 3.49/3.72 (assume @p4550 (forall @t5824 (=> @t5494 (tptp.hBOOL (tptp.hAPP @t5493 @t5919))))) % 3.49/3.72 (assume @p4551 (forall @t5915 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5920) @t5424)))) % 3.49/3.72 (assume @p4552 (forall (@list @t5388 @t10 @t19 @t314) (=> @t942 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t5423 (tptp.hAPP (tptp.hAPP @t5903 @t314) @t5388))) @t5920))))) % 3.49/3.72 (assume @p4553 (forall @t5921 (=> (tptp.hBOOL (tptp.hAPP @t3580 @t5920)) @t5485))) % 3.49/3.72 (assume @p4554 (forall (@list @t5387 @t2 @t92 @t5388 @t349 @t10) (=> @t5486 (= (tptp.hAPP @t5922 @t349) @t566)))) % 3.49/3.72 (assume @p4555 (forall @t5923 (= (tptp.hAPP @t5913 @t5397) (tptp.hAPP @t5395 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t92) @t19) @t5388))))) % 3.49/3.72 (assume @p4556 (forall @t5925 (= (tptp.hAPP @t5924 @t5634) (tptp.hAPP @t5628 @t5907)))) % 3.49/3.72 (assume @p4557 (forall @t5641 (= (tptp.hAPP (tptp.hAPP @t5905 @t773) @t5634) @t5926))) % 3.49/3.72 (assume @p4558 (forall (@list @t610 @t2 @t5388 @t5387 @t92 @t349 @t10) (and (=> @t5929 (= @t5927 @t5922)) (=> (not @t5929) (= @t5927 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 @t5922) @t349) @t3968)))))) % 3.49/3.72 (assume @p4559 (forall @t5930 (= (tptp.c_Map_Odom @t10 @t92 @t5902) (tptp.hAPP (tptp.hAPP @t3096 @t5928) @t4637)))) % 3.49/3.72 (assume @p4560 (forall @t5932 (=> @t5931 (= @t5907 @t5491)))) % 3.49/3.72 (assume @p4561 (forall @t5933 (= (tptp.hAPP @t5542 @t5907) (tptp.hAPP @t5544 @t65)))) % 3.49/3.72 (assume @p4562 (forall (@list @t5491 @t66 @t65 @t471) (=> (tptp.hBOOL (tptp.hAPP @t476 @t65)) (= (tptp.hAPP (tptp.hAPP @t5768 @t5907) @t471) @t5788)))) % 3.49/3.72 (assume @p4563 (forall (@list @t5912 @t21 @t5911 @t168 @t314 @t92 @t10) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 (tptp.hAPP @t5643 @t5911) (tptp.hAPP (tptp.hAPP @t5637 @t21) @t5912)) @t5935))) % 3.49/3.72 (assume @p4564 (forall @t5937 (= (tptp.hAPP @t5913 @t5632) (tptp.c_Nat_Onat_Onat__case @t4984 @t5717 (tptp.hAPP @t5835 (tptp.hAPP (tptp.hAPP @t5936 @t5903) @t5388)) @t19)))) % 3.49/3.72 (assume @p4565 (forall @t5798 (and (=> @t342 (= @t5940 @t5727)) (=> @t410 (= @t5940 (tptp.hAPP @t5628 @t5939)))))) % 3.49/3.72 (assume @p4566 (forall (@list @t610 @t314 @t5387 @t92 @t143 @t5388 @t10) (=> (tptp.hBOOL (tptp.hAPP @t5941 @t143)) (=> (tptp.hBOOL (tptp.hAPP @t1488 @t5569)) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5388 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t92 @t5387) @t143) @t610)) @t5902))))) % 3.49/3.72 (assume @p4567 (forall (@list @t5912 @t21 @t314 @t92 @t5911 @t168 @t10) (=> (not (tptp.hBOOL (tptp.hAPP @t3595 @t5942))) (= @t5935 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3969 (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5911 @t5912)) @t168) @t5934))))) % 3.49/3.72 (assume @p4568 (forall @t5806 (and (=> @t1765 (= @t5943 @t5727)) (=> @t5805 (= @t5943 (tptp.hAPP @t5628 (tptp.hAPP (tptp.hAPP @t5905 @t1558) @t5491))))))) % 3.49/3.72 (assume @p4569 (forall (@list @t314 @t2527 @t5387 @t92 @t5388 @t10) (=> @t5570 (=> (tptp.hBOOL (tptp.hAPP @t5635 @t2527)) (= (tptp.c_Map_Orestrict__map @t10 @t92 @t5902 @t2527) (tptp.c_Map_Omap__upds @t10 @t92 (tptp.c_Map_Orestrict__map @t10 @t92 @t314 (tptp.hAPP @t3988 @t5424)) @t5388 @t5387)))))) % 3.49/3.72 (assume @p4570 (forall @t5946 (=> @t5789 (= (tptp.hAPP (tptp.hAPP @t5905 @t472) @t5491) (tptp.hAPP @t5945 (tptp.hAPP @t5944 @t5727)))))) % 3.49/3.72 (assume @p4571 (forall (@list @t1972 @t610 @t5387 @t349 @t5388 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t5873) @t5872)) @t5947)) (or (and @t5948 @t620) (and @t5389 @t4300))))) % 3.49/3.72 (assume @p4572 (forall (@list @t1972 @t1624 @t1524 @t349 @t10) (=> @t5887 (=> (forall @t403 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5949 @t402)) @t1972)))) @t5888)))) % 3.49/3.72 (assume @p4573 (forall (@list @t5388 @t1972 @t349 @t10) (=> @t4648 (=> @t5953 (tptp.hBOOL (tptp.hAPP @t5951 @t5950)))))) % 3.49/3.72 (assume @p4574 (forall @t4145 (=> @t4144 (tptp.hBOOL (tptp.hAPP @t5954 (tptp.c_List_Olistrel1 @t10 @t18)))))) % 3.49/3.72 (assume @p4575 (forall @t1975 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5619 (tptp.c_List_Olistrel1 @t10 @t5061)) @t5955)))) % 3.49/3.72 (assume @p4576 (forall @t1975 (= @t5957 @t5956))) % 3.49/3.72 (assume @p4577 (forall @t1975 (= @t5615 @t5955))) % 3.49/3.72 (assume @p4578 (forall @t1975 (tptp.hBOOL (tptp.hAPP @t5620 @t5955)))) % 3.49/3.72 (assume @p4579 (forall @t5959 (=> @t5948 (tptp.hBOOL (tptp.hAPP @t5958 @t5947))))) % 3.49/3.72 (assume @p4580 (forall @t5959 (=> @t5960 (tptp.hBOOL (tptp.hAPP @t5958 @t5955))))) % 3.49/3.72 (assume @p4581 (forall @t5614 (=> @t5948 @t5604))) % 3.49/3.72 (assume @p4582 (forall @t5115 (=> (tptp.hBOOL (tptp.hAPP @t5842 @t5955)) @t5901))) % 3.49/3.72 (assume @p4583 (forall @t5616 (not (tptp.hBOOL (tptp.hAPP @t5721 @t5947))))) % 3.49/3.72 (assume @p4584 (forall @t5616 (not (tptp.hBOOL (tptp.hAPP @t5719 @t5947))))) % 3.49/3.72 (assume @p4585 (forall (@list @t5961 @t5962 @t1972 @t5387 @t5388 @t10) (=> (or (and @t5948 (= @t5962 @t5961)) (and @t5389 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 @t5962) @t5961)) @t5947)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5562 (tptp.hAPP @t5860 @t5962)) (tptp.hAPP @t5869 @t5961))) @t5947))))) % 3.49/3.72 (assume @p4586 (forall @t5115 (= (tptp.hBOOL (tptp.hAPP @t5842 @t5957)) (tptp.hBOOL (tptp.hAPP @t5842 @t5956))))) % 3.49/3.72 (assume @p4587 (forall @t5614 (=> @t5613 @t5960))) % 3.49/3.72 (assume @p4588 (forall @t5614 (=> @t5948 @t5618))) % 3.49/3.72 (assume @p4589 (forall @t5663 (= (tptp.hBOOL (tptp.hAPP @t5661 @t5947)) (or (and @t4300 @t5389) (and @t620 @t5948))))) % 3.49/3.72 (assume @p4590 (forall (@list @t5388 @t1972 @t610 @t349 @t10) (=> @t4300 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5660 (tptp.hAPP @t5646 @t5388))) @t5947))))) % 3.49/3.72 (assume @p4591 (forall @t4973 (=> (tptp.hBOOL (tptp.hAPP @t4143 @t4233)) (=> (tptp.c_Relation_Orefl__on @t10 @t3318 @t4233) (tptp.hBOOL (tptp.hAPP @t5954 (tptp.c_List_Olistrel @t10 @t4233))))))) % 3.49/3.72 (assume @p4592 (forall (@list @t5387 @t5961 @t5962 @t5388 @t1972 @t610 @t349 @t10) (=> @t4300 (=> (= @t5388 (tptp.hAPP @t5963 (tptp.hAPP @t5631 @t5961))) (=> (= @t5387 (tptp.hAPP @t5963 (tptp.hAPP @t5646 @t5961))) @t5948))))) % 3.49/3.72 (assume @p4593 (forall @t5662 (=> @t5086 (=> @t5960 (tptp.hBOOL (tptp.hAPP @t5661 @t5955)))))) % 3.49/3.72 (assume @p4594 (forall @t5614 (= @t5948 (exists (@list @t267 @t9) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5807 @t267)) @t1972)) @t5808 (= @t5387 (tptp.hAPP (tptp.hAPP @t5814 @t9) @t267))))))) % 3.49/3.72 (assume @p4595 (forall @t5614 (=> @t5948 (not (forall @t2447 (=> @t4470 (forall (@list @t5884 @t5964) (=> (= @t5388 (tptp.hAPP @t5885 (tptp.hAPP @t5677 @t5964))) (not (= @t5387 (tptp.hAPP @t5885 (tptp.hAPP @t5675 @t5964)))))))))))) % 3.49/3.72 (assume @p4596 (forall @t5402 (= @t5968 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4984 @t10 @t5717 (tptp.hAPP (tptp.hAPP @t5966 @t5965) @t5748)) @t5388)))) % 3.49/3.72 (assume @p4597 (forall (@list @t249 @t5491 @t66 @t471) (=> @t5789 (= (tptp.hAPP @t5818 @t249) (tptp.hAPP @t5945 (tptp.hAPP @t5659 @t5970)))))) % 3.49/3.72 (assume @p4598 (forall (@list @t5388 @t10 @t314 @t19) (=> @t1028 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 (tptp.hAPP @t5423 (tptp.hAPP (tptp.hAPP @t5971 @t314) @t5388))) @t5974))))) % 3.49/3.72 (assume @p4599 (forall @t5915 (= (= @t5973 @t5717) (tptp.hBOOL (tptp.hAPP @t5941 @t19))))) % 3.49/3.72 (assume @p4600 (forall @t5932 (=> @t5931 (= @t5976 @t5727)))) % 3.49/3.72 (assume @p4601 (forall (@list @t5501 @t100 @t5491 @t65 @t66) (=> (= @t5976 @t5859) (= @t5771 @t100)))) % 3.49/3.72 (assume @p4602 (forall @t5933 (= (tptp.hAPP @t5542 @t5976) (tptp.hAPP @t5977 @t65)))) % 3.49/3.72 (assume @p4603 (forall @t5891 (= (tptp.hAPP @t5542 @t5979) @t5543))) % 3.49/3.72 (assume @p4604 (forall @t5641 (= (tptp.hAPP (tptp.hAPP @t5969 @t773) @t5634) @t5491))) % 3.49/3.72 (assume @p4605 (forall @t5925 (= (tptp.hAPP @t5980 @t5634) @t5976))) % 3.49/3.72 (assume @p4606 (forall @t5923 (= (tptp.hAPP @t5972 @t5397) (tptp.hAPP @t5395 (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t92) @t19) @t5388))))) % 3.49/3.72 (assume @p4607 (forall @t5921 (=> (tptp.hBOOL (tptp.hAPP @t3580 @t5974)) @t5485))) % 3.49/3.72 (assume @p4608 (forall @t5402 (= (tptp.hAPP @t5423 @t5968) @t5424))) % 3.49/3.72 (assume @p4609 (forall @t5915 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t5974) @t5424)))) % 3.49/3.72 (assume @p4610 (forall @t5402 (= (tptp.hBOOL (tptp.hAPP @t5464 @t5968)) @t5483))) % 3.49/3.72 (assume @p4611 (forall @t5824 (=> @t5494 (tptp.hBOOL (tptp.hAPP @t5493 @t5981))))) % 3.49/3.72 (assume @p4612 (forall @t5918 (= (tptp.hAPP @t5975 @t5983) (tptp.hAPP (tptp.hAPP @t5969 @t302) @t5491)))) % 3.49/3.72 (assume @p4613 (forall @t5891 (= (tptp.hAPP (tptp.hAPP @t5969 @t199) @t5491) @t5491))) % 3.49/3.72 (assume @p4614 (forall @t5916 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5506) @t65) @t5505) (tptp.hAPP (tptp.hAPP @t5503 @t5976) (tptp.hAPP (tptp.hAPP @t5971 @t65) @t5501))))) % 3.49/3.72 (assume @p4615 (forall @t873 (= (tptp.hAPP @t5975 @t5727) @t5727))) % 3.49/3.72 (assume @p4616 (forall @t5402 (= (= @t5968 @t5717) @t5718))) % 3.49/3.72 (assume @p4617 (forall @t5909 (= (tptp.hAPP @t5975 @t5851) (tptp.hAPP (tptp.hAPP @t5846 @t5976) (tptp.hAPP (tptp.hAPP @t5969 @t5893) @t5501))))) % 3.49/3.72 (assume @p4618 (forall @t5918 (= (tptp.hAPP @t5906 @t5983) (tptp.hAPP @t5982 (tptp.hAPP (tptp.hAPP @t5905 @t302) @t5491))))) % 3.49/3.72 (assume @p4619 (forall @t5918 (= (tptp.hAPP @t5975 @t5917) (tptp.hAPP (tptp.hAPP @t5905 @t1399) @t5976)))) % 3.49/3.72 (assume @p4620 (forall @t5933 (= (tptp.hAPP @t5908 @t5976) @t5491))) % 3.49/3.72 (assume @p4621 (forall @t5883 (= (= @t5861 @t5510) (and (= @t5388 (tptp.hAPP (tptp.hAPP @t5903 @t5557) @t5510)) (= @t5387 (tptp.hAPP (tptp.hAPP @t5971 @t5557) @t5510)))))) % 3.49/3.72 (assume @p4622 (forall @t5937 (= (tptp.hAPP @t5972 @t5632) (tptp.c_Nat_Onat_Onat__case @t4984 @t5632 (tptp.hAPP (tptp.hAPP @t5936 @t5971) @t5388) @t19)))) % 3.49/3.72 (assume @p4623 (forall @t5798 (and (=> @t342 (= @t5984 @t5634)) (=> @t410 (= @t5984 (tptp.hAPP (tptp.hAPP @t5969 @t1542) @t5491)))))) % 3.49/3.72 (assume @p4624 (forall (@list @t5491 @t66 @t471 @t65) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t5985) @t5543)) (= (tptp.hAPP (tptp.hAPP @t5768 @t5976) @t471) (tptp.hAPP @t5770 @t5985))))) % 3.49/3.72 (assume @p4625 (forall (@list @t5986 @t5989 @t5987 @t5988 @t10) (= (= (tptp.hAPP (tptp.hAPP @t5839 @t5988) @t5987) (tptp.hAPP (tptp.hAPP @t5839 @t5989) @t5986)) (and (=> @t5992 (and (= @t5988 (tptp.hAPP (tptp.hAPP @t5903 @t5991) @t5989)) (= @t5987 (tptp.hAPP (tptp.hAPP @t5839 (tptp.hAPP (tptp.hAPP @t5971 @t5991) @t5989)) @t5986)))) (=> (not @t5992) (and (= (tptp.hAPP (tptp.hAPP @t5903 @t5990) @t5988) @t5989) (= (tptp.hAPP (tptp.hAPP @t5839 (tptp.hAPP (tptp.hAPP @t5971 @t5990) @t5988)) @t5987) @t5986))))))) % 3.49/3.72 (assume @p4626 (forall @t5946 (=> @t5789 (= @t5993 @t5981)))) % 3.49/3.72 (assume @p4627 (forall (@list @t5491 @t101 @t10 @t66) (and (= (tptp.hAPP @t5978 @t5727) @t5727) (= (tptp.hAPP @t5967 (tptp.hAPP @t5994 @t5491)) (tptp.hAPP (tptp.hAPP @t5839 @t5491) (tptp.hAPP @t5994 @t5717)))))) % 3.49/3.72 (assume @p4628 (forall @t5806 (and (=> @t1765 (= @t5995 @t5634)) (=> @t5805 (= @t5995 (tptp.hAPP (tptp.hAPP @t5969 @t1558) @t5491)))))) % 3.49/3.72 (assume @p4629 (forall (@list @t5491 @t66 @t473 @t471) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t481) @t5543)) (= (tptp.hAPP (tptp.hAPP @t5905 @t481) @t5491) (tptp.hAPP @t5945 (tptp.hAPP (tptp.hAPP @t5905 @t473) @t5981)))))) % 3.49/3.72 (assume @p4630 (forall @t5891 (=> @t5996 (= @t5979 @t5491)))) % 3.49/3.72 (assume @p4631 (forall @t5997 (= (tptp.hAPP @t5857 @t5489) (tptp.hAPP (tptp.hAPP @t5856 (tptp.hAPP @t5504 (tptp.hAPP (tptp.hAPP @t5903 @t5543) @t5489))) (tptp.hAPP @t5854 (tptp.hAPP (tptp.hAPP @t5971 @t5543) @t5489)))))) % 3.49/3.72 (assume @p4632 (forall @t5997 (= (tptp.hAPP @t5504 (tptp.hAPP (tptp.hAPP @t5839 @t5501) @t5489)) (tptp.hAPP (tptp.hAPP @t5856 (tptp.hAPP (tptp.hAPP @t5503 (tptp.hAPP (tptp.hAPP @t5905 @t5540) @t5491)) @t5501)) (tptp.hAPP (tptp.hAPP @t5503 (tptp.hAPP (tptp.hAPP @t5969 @t5540) @t5491)) @t5489))))) % 3.49/3.72 (assume @p4633 (forall @t5946 (=> @t5789 (= @t5491 (tptp.hAPP @t5945 @t5993))))) % 3.49/3.72 (assume @p4634 (forall @t6001 (=> @t5895 (= (tptp.hAPP @t5908 (tptp.hAPP (tptp.hAPP @t5627 @t6000) @t5727)) @t5998)))) % 3.49/3.72 (assume @p4635 (forall @t6004 (=> @t6003 (=> @t5895 (= @t6000 @t5771))))) % 3.49/3.72 (assume @p4636 (forall @t6007 (=> @t5738 (= (tptp.hAPP (tptp.c_List_Ohd @t92) @t5391) (tptp.hAPP @t2 @t6006))))) % 3.49/3.72 (assume @p4637 (forall @t5641 (= (tptp.hAPP @t5999 @t5634) @t101))) % 3.49/3.72 (assume @p4638 (forall @t6011 @t6010)) % 3.49/3.72 (assume @p4639 (forall @t6011 (and (=> @t6002 (= @t6009 (tptp.hAPP @t5999 @t5501))) @t6010))) % 3.49/3.72 (assume @p4640 (forall @t5751 (=> @t5738 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 @t6006) @t5424))))) % 3.49/3.72 (assume @p4641 (forall @t6012 (=> @t6003 (= @t6008 (tptp.hAPP @t5770 @t199))))) % 3.49/3.72 (assume @p4642 (forall @t6012 (=> @t6003 (= @t5979 (tptp.hAPP @t6016 (tptp.hAPP @t6013 @t5727)))))) % 3.49/3.72 (assume @p4643 (forall @t6004 (=> @t6003 (= (tptp.hAPP @t5999 @t6019) (tptp.hAPP @t5770 @t6017))))) % 3.49/3.72 (assume @p4644 (forall @t5933 (= (tptp.hAPP @t5980 @t5491) @t6020))) % 3.49/3.72 (assume @p4645 (forall @t5933 (= @t6020 @t6021))) % 3.49/3.72 (assume @p4646 (forall @t5933 (= @t6021 @t6020))) % 3.49/3.72 (assume @p4647 (forall @t6011 (=> @t6003 (= (tptp.hAPP @t6014 @t5851) (tptp.hAPP @t6016 @t5501))))) % 3.49/3.72 (assume @p4648 (forall @t5933 (= (tptp.hAPP @t5542 @t6019) @t5543))) % 3.49/3.72 (assume @p4649 (forall @t5933 (= @t6019 (tptp.hAPP (tptp.c_List_Orotate @t66 @t6017) @t5491)))) % 3.49/3.72 (assume @p4650 (forall @t5641 (= (tptp.hAPP @t6014 @t5634) @t5491))) % 3.49/3.72 (assume @p4651 (forall @t5923 (= (tptp.hAPP @t6022 @t5397) (tptp.hAPP @t5395 (tptp.hAPP (tptp.c_List_Orotate @t92 @t19) @t5388))))) % 3.49/3.72 (assume @p4652 (forall @t5730 (= (tptp.hAPP @t5395 (tptp.hAPP (tptp.c_List_Otl @t92) @t5388)) (tptp.hAPP @t6023 @t5397)))) % 3.49/3.72 (assume @p4653 (forall @t5915 (= (tptp.hAPP @t5423 @t6024) @t5424))) % 3.49/3.72 (assume @p4654 (forall @t5915 (= (tptp.hBOOL (tptp.hAPP @t5464 @t6024)) @t5483))) % 3.49/3.72 (assume @p4655 (forall @t5891 (=> @t5494 (tptp.hBOOL (tptp.hAPP @t5493 @t6015))))) % 3.49/3.72 (assume @p4656 (forall (@list @t5491 @t65 @t235 @t66) (= (tptp.hAPP (tptp.c_List_Orotate @t66 @t235) @t6019) (tptp.hAPP (tptp.c_List_Orotate @t66 @t304) @t5491)))) % 3.49/3.72 (assume @p4657 (forall @t385 (= (tptp.hAPP @t6014 @t5727) @t5727))) % 3.49/3.72 (assume @p4658 (forall @t5915 (= (= @t6024 @t5717) @t5718))) % 3.49/3.72 (assume @p4659 (forall @t5933 (= @t6025 (tptp.hAPP @t6014 @t5998)))) % 3.49/3.72 (assume @p4660 (forall @t571 (= @t6022 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t4984 @t4984) @t19) @t5967)))) % 3.49/3.72 (assume @p4661 (forall @t5933 (= (tptp.hAPP (tptp.c_List_Orotate @t66 @t67) @t5491) @t6026))) % 3.49/3.72 (assume @p4662 (forall @t5933 (= @t6026 (tptp.hAPP @t6018 @t5979)))) % 3.49/3.72 (assume @p4663 (forall @t5880 (= (tptp.hAPP @t6023 @t5861) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t4984 @t10 (tptp.hAPP @t6023 @t5387) (tptp.hAPP (tptp.c_COMBK @t5668 @t10) (tptp.hAPP @t5965 @t5387))) @t5388)))) % 3.49/3.72 (assume @p4664 (forall @t1752 (= (tptp.c_List_Orotate @t10 @t199) @t5403))) % 3.49/3.72 (assume @p4665 (forall @t574 (= (tptp.c_List_Orotate @t10 @t340) (tptp.hAPP (tptp.c_Fun_Ocomp @t4984 @t4984 @t4984 (tptp.c_List_Orotate @t10 @t314)) @t6022)))) % 3.49/3.72 (assume @p4666 (forall @t6001 (=> (= @t6017 @t199) @t6027))) % 3.49/3.72 (assume @p4667 (forall @t5932 (=> @t5996 @t6027))) % 3.49/3.72 (assume @p4668 (forall @t5891 (= (tptp.hAPP @t5542 @t6015) @t6028))) % 3.49/3.72 (assume @p4669 (forall @t5933 (= (tptp.hAPP @t6014 @t5907) (tptp.hAPP @t5938 @t6015)))) % 3.49/3.72 (assume @p4670 (forall @t6004 (=> @t6003 (= @t5998 (tptp.hAPP @t6013 @t6025))))) % 3.49/3.72 (assume @p4671 (forall @t5933 (= @t6019 (tptp.hAPP (tptp.hAPP @t5846 (tptp.hAPP (tptp.hAPP @t5969 @t6017) @t5491)) (tptp.hAPP (tptp.hAPP @t5905 @t6017) @t5491))))) % 3.49/3.72 (assume @p4672 (forall @t5402 (=> @t4748 (=> @t5738 (= (tptp.hAPP @t4671 @t5424) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t704 @t6006) (tptp.hAPP @t6023 @t5388))))))) % 3.49/3.72 (assume @p4673 (forall (@list @t5408 @t168 @t251 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t251 @t5644) (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t363 (tptp.c_List_Olist_Olist__size @t10 @t251 @t5408))) @t259)))) % 3.49/3.72 (assume @p4674 (forall @t4607 (= (tptp.hAPP @t6029 @t5728) @t168))) % 3.49/3.72 (assume @p4675 (forall (@list @t168 @t5388 @t10) (=> (tptp.class_Groups_Oab__semigroup__add @t10) (= (tptp.c_List_Ofoldr @t10 @t10 @t287 @t5388 @t168) @t6030)))) % 3.49/3.72 (assume @p4676 (forall (@list @t5510 @t349 @t10) (=> @t5702 (= (tptp.hAPP @t1061 (tptp.hAPP @t6031 @t5510)) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t287 @t349) @t5510))))) % 3.49/3.72 (assume @p4677 (forall @t6032 (=> (tptp.class_Groups_Osemigroup__add @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t287 @t1062) @t5510) (tptp.hAPP @t1061 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t287 @t610) @t5510)))))) % 3.49/3.72 (assume @p4678 (forall (@list @t5722 @t19 @t314) (=> @t942 (tptp.hBOOL (tptp.hAPP @t941 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t260 @t19) @t5722)))))) % 3.49/3.72 (assume @p4679 (forall (@list @t5388 @t2 @t530 @t168 @t1 @t92 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 @t1 @t168) @t5412) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t530 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 @t4549 @t2828) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1263 (tptp.tc_fun @t4549 @t2828) @t10) @t3024) @t1)) @t2) @t168) @t5388)))) % 3.49/3.72 (assume @p4680 (forall (@list @t5388 @t1 @t92 @t2 @t10) (= (tptp.c_List_Olist_Olist__size @t10 @t2 @t5429) (tptp.c_List_Olist_Olist__size @t92 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_Nat_Onat @t92 @t2) @t1) @t5388)))) % 3.49/3.72 (assume @p4681 (forall (@list @t5388 @t349 @t168 @t2 @t92 @t10) (= (tptp.hAPP @t6029 @t5639) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 @t2 (tptp.hAPP @t2354 @t349)) @t5388)))) % 3.49/3.72 (assume @p4682 (forall (@list @t5387 @t5388 @t168 @t2 @t92 @t10) (= (tptp.hAPP @t6029 @t5879) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 @t2 @t6033) @t5387)))) % 3.49/3.72 (assume @p4683 (forall @t1752 (=> @t5702 (= @t5698 @t6031)))) % 3.49/3.72 (assume @p4684 (forall @t5402 (=> @t5702 (= (tptp.hAPP @t6031 @t5388) @t6034)))) % 3.49/3.72 (assume @p4685 (forall @t6035 (=> @t5702 (= @t6030 (tptp.hAPP @t293 @t6034))))) % 3.49/3.72 (assume @p4686 (forall (@list @t5722 @t314) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t260 @t314) @t5722) @t199) (and @t339 @t5725)))) % 3.49/3.72 (assume @p4687 (forall @t377 (= (tptp.c_List_Olist_Olist__size @t10 @t251 @t5717) @t199))) % 3.49/3.72 (assume @p4688 (forall (@list @t5388 @t610 @t2 @t92 @t10) (=> @t4812 (= (tptp.hAPP (tptp.hAPP @t5157 @t610) @t5424) (tptp.hAPP (tptp.c_List_Ofoldl @t92 @t10 (tptp.hAPP @t3714 @t2) @t610) @t5388))))) % 3.49/3.72 (assume @p4689 (forall @t5402 (=> @t3259 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t10 @t5424) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t3155 @t3472) @t5388))))) % 3.49/3.72 (assume @p4690 (forall @t5402 (=> @t3259 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t10 @t5424) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t4329 @t3320) @t5388))))) % 3.49/3.72 (assume @p4691 (forall @t5487 (=> @t3156 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t10 @t5633) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t3155 @t349) @t5388))))) % 3.49/3.72 (assume @p4692 (forall @t5487 (=> @t3156 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t10 @t5633) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t10 @t4329 @t349) @t5388))))) % 3.49/3.72 (assume @p4693 (forall @t5487 (=> @t622 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t10 @t5633) @t6036)))) % 3.49/3.72 (assume @p4694 (forall @t5487 (=> @t622 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t10 @t5633) @t6037)))) % 3.49/3.72 (assume @p4695 (forall @t5487 (=> @t622 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t10 @t2458 @t5633) @t6036)))) % 3.49/3.72 (assume @p4696 (forall @t5487 (=> @t622 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t10 @t2569 @t5633) @t6037)))) % 3.49/3.72 (assume @p4697 (forall @t6038 (=> @t3259 (= (tptp.hAPP (tptp.hAPP @t3257 @t5426) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t2838 @t3155) @t2)) @t3472) @t5388))))) % 3.49/3.72 (assume @p4698 (forall @t6038 (=> @t3259 (= (tptp.hAPP (tptp.hAPP @t5223 @t5426) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 (tptp.hAPP @t2845 (tptp.hAPP (tptp.hAPP @t2838 @t4329) @t2)) @t3320) @t5388))))) % 3.49/3.72 (assume @p4699 (forall @t6041 (=> @t5485 (=> (tptp.hBOOL (tptp.hAPP @t6040 @t566)) (tptp.hBOOL (tptp.hAPP @t6040 @t6039)))))) % 3.49/3.72 (assume @p4700 (forall @t6041 (=> @t5485 (=> (tptp.hBOOL (tptp.hAPP @t1462 @t566)) (tptp.hBOOL (tptp.hAPP @t1462 @t6039)))))) % 3.49/3.72 (assume @p4701 (forall (@list @t5961 @t5461 @t314 @t92 @t10) (= (tptp.c_Map_Omap__upds @t10 @t92 @t314 @t5461 @t5961) (tptp.hAPP (tptp.c_List_Ofoldl @t5349 @t2388 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6045 (tptp.tc_fun @t2388 @t5349) @t5349) (tptp.c_Product__Type_Oprod_Oprod__case @t10 @t92 @t5349)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5349 @t5354 @t6045) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6044 (tptp.tc_fun @t5354 @t6045) @t5349) (tptp.c_COMBC @t10 @t5354 @t6042)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t10 @t5350) @t6044 @t5349) (tptp.hAPP (tptp.c_COMBB @t5350 @t6043 @t10) (tptp.c_COMBB @t3967 @t5349 @t92))) @t3969))) @t387)) @t314) (tptp.hAPP (tptp.hAPP @t5498 @t5461) @t5961))))) % 3.49/3.72 (assume @p4702 (forall (@list @t5722 @t19) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2931 @t19) @t5724)) (tptp.hBOOL (tptp.hAPP @t1015 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t260 @t199) @t5722)))))) % 3.49/3.72 (assume @p4703 (forall @t6046 (= @t6039 (tptp.hAPP (tptp.hAPP @t260 (tptp.hAPP @t5726 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t10 tptp.tc_Nat_Onat) @t2) @t5388))) @t5557)))) % 3.49/3.72 (assume @p4704 (forall @t4750 (=> @t4717 (tptp.hBOOL (tptp.hAPP @t5620 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t4984 @t4984) @t6047) (tptp.hAPP (tptp.c_COMBK @t5372 @t4984) @t6047))))))) % 3.49/3.72 (assume @p4705 (forall @t5616 (=> @t5953 @t6048))) % 3.49/3.72 (assume @p4706 (forall @t2536 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5667 @t5717) @t6047)))) % 3.49/3.72 (assume @p4707 (forall @t4289 (=> @t4297 (tptp.c_Equiv__Relations_Oequiv @t4984 @t6047 @t5612)))) % 3.49/3.72 (assume @p4708 (forall @t4289 (=> @t4493 (tptp.c_Relation_Orefl__on @t4984 @t6047 @t5612)))) % 3.49/3.72 (assume @p4709 (forall @t1752 (= (tptp.c_List_Olists @t10 @t3318) @t5373))) % 3.49/3.72 (assume @p4710 (forall (@list @t1261 @t5387 @t5388 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5667 @t5861) @t6047)) (and @t6049 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5667 @t5387) @t6047)))))) % 3.49/3.72 (assume @p4711 (forall @t2442 (=> @t2441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t5372) @t6047) (tptp.c_List_Olists @t10 @t1419)))))) % 3.49/3.72 (assume @p4712 (forall (@list @t1261 @t5388 @t349 @t10) (= (tptp.hBOOL (tptp.hAPP @t5951 @t6047)) (and @t3581 @t6049)))) % 3.49/3.72 (assume @p4713 (forall @t6050 (= @t6049 (forall @t8 (=> @t5777 @t3039))))) % 3.49/3.72 (assume @p4714 (forall @t2536 (= @t6047 (tptp.hAPP @t5601 @t5599)))) % 3.49/3.72 (assume @p4715 (forall @t1752 (= (tptp.c_List_Olists @t10 @t3465) @t5746))) % 3.49/3.72 (assume @p4716 (forall @t5616 (=> @t6048 @t5953))) % 3.49/3.72 (assume @p4717 (forall (@list @t1972 @t349 @t10 @t610) (=> (exists (@list @t2338 @t1408) (= @t610 (tptp.hAPP (tptp.hAPP @t5624 @t2338) @t1408))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5621 (tptp.hAPP @t5886 @t610))) @t5841))))) % 3.49/3.72 (assume @p4718 (forall (@list @t1972 @t610 @t10) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t5720 @t610)) @t5841)) (exists (@list @t402 @t4) (= @t610 (tptp.hAPP @t6051 @t4)))))) % 3.49/3.72 (assume @p4719 (forall (@list @t101 @t311 @t66 @t5491) (=> @t6003 (and (=> @t6056 (= @t6055 @t101)) (=> @t6057 (= @t6055 @t6052)))))) % 3.49/3.72 (assume @p4720 (forall (@list @t1 @t2 @t5388 @t10 @t92) (=> (and (tptp.class_Groups_Omonoid__add @t92) @t3578) (=> (forall @t8 (=> @t5777 @t955)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t954 @t5708) (tptp.hAPP @t5707 (tptp.hAPP (tptp.hAPP @t5374 @t1) @t5388)))))))) % 3.49/3.72 (assume @p4721 (forall @t6063 (and @t6062 @t6061))) % 3.49/3.72 (assume @p4722 (forall @t6063 @t6061)) % 3.49/3.72 (assume @p4723 (forall @t6063 @t6062)) % 3.49/3.72 (assume @p4724 (forall @t5640 (and @t6066 @t6065))) % 3.49/3.72 (assume @p4725 (forall @t5640 @t6065)) % 3.49/3.72 (assume @p4726 (forall @t5640 @t6066)) % 3.49/3.72 (assume @p4727 (forall @t6007 (=> @t5738 (= (tptp.c_List_Olast @t92 @t5391) (tptp.hAPP @t2 @t6067))))) % 3.49/3.72 (assume @p4728 (forall (@list @t10 @t5911) (=> (not (= @t5911 @t5717)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2725 (tptp.c_List_Olast @t10 @t5911)) @t5942))))) % 3.49/3.72 (assume @p4729 (forall @t5495 (= (tptp.c_List_Olast @t66 @t6068) @t101))) % 3.49/3.72 (assume @p4730 (forall @t6001 (=> @t5895 (= (tptp.c_List_Olast @t66 @t5976) @t6052)))) % 3.49/3.72 (assume @p4731 (forall @t6012 (=> @t6003 (= @t6052 (tptp.hAPP @t5770 @t6028))))) % 3.49/3.72 (assume @p4732 (forall @t5068 (=> (forall @t2344 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP @t5949 @t2338)) @t1972)) (= @t402 @t2338) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3768 (tptp.hAPP (tptp.hAPP @t3765 @t2338) @t402)) @t1972)))) (or @t5843 @t620 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t6069 @t349)) @t5841)))))) % 3.49/3.72 (assume @p4733 (forall (@list @t610 @t1972 @t10) (=> @t4131 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5564 (tptp.hAPP @t6069 @t610)) @t5841)))))) % 3.49/3.72 (assume @p4734 (forall @t3423 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5667 @t168) @t6047)) (or (= @t168 @t5717) (exists (@list @t402 @t6070) (and (= @t168 (tptp.hAPP @t6051 @t6070)) @t4197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5667 @t6070) @t6047)))))))) % 3.49/3.72 (assume @p4735 (forall (@list @t1 @t2 @t5388 @t10) (=> (forall @t8 (=> @t5777 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t6039) (tptp.c_List_Olist_Olist__size @t10 @t1 @t5388)))))) % 3.49/3.72 (assume @p4736 (forall @t6001 (=> (tptp.hBOOL (tptp.hAPP @t1036 @t5543)) (= (tptp.c_List_Obutlast @t66 @t5907) @t5939)))) % 3.49/3.72 (assume @p4737 (forall (@list @t5501 @t5491 @t66 @t311) (=> (tptp.hBOOL (tptp.hAPP @t922 @t5543)) (=> (tptp.hBOOL (tptp.hAPP @t922 @t5560)) (=> (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t1555 @t311)) (= (tptp.hAPP @t5770 @t1183) (tptp.hAPP @t5849 @t1183)))) (= (tptp.hAPP @t6071 @t5491) (tptp.hAPP @t6071 @t5501))))))) % 3.49/3.72 (assume @p4738 (forall @t5730 (= (tptp.hAPP @t5395 (tptp.c_List_Obutlast @t92 @t5388)) (tptp.c_List_Obutlast @t10 @t5397)))) % 3.49/3.72 (assume @p4739 (forall @t6012 (=> @t6003 (=> @t5494 (tptp.hBOOL (tptp.hAPP @t5493 @t6072)))))) % 3.49/3.72 (assume @p4740 (forall @t385 (= (tptp.c_List_Obutlast @t66 @t5727) @t5727))) % 3.49/3.72 (assume @p4741 (forall @t5487 (=> @t6074 @t5485))) % 3.49/3.72 (assume @p4742 (forall @t5640 (and (=> @t6002 (= @t6075 @t5727)) (=> @t6003 (= @t6075 (tptp.hAPP @t5628 @t6072)))))) % 3.49/3.72 (assume @p4743 (forall @t6063 (and (=> @t6059 (= @t6076 @t6072)) (=> @t6060 (= @t6076 (tptp.hAPP @t5847 (tptp.c_List_Obutlast @t66 @t5501))))))) % 3.49/3.72 (assume @p4744 (forall @t5933 (= @t6078 @t6077))) % 3.49/3.72 (assume @p4745 (forall @t5933 (= @t6077 @t6078))) % 3.49/3.72 (assume @p4746 (forall @t5863 (=> (or @t6074 (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 @t6079)))) (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 (tptp.c_List_Obutlast @t10 @t5861))))))) % 3.49/3.72 (assume @p4747 (forall @t5495 (= (tptp.c_List_Obutlast @t66 @t6068) @t5491))) % 3.49/3.72 (assume @p4748 (forall @t6001 (=> @t5895 (= (tptp.hAPP @t5906 @t6072) @t5907)))) % 3.49/3.72 (assume @p4749 (forall @t5891 (= (tptp.hAPP @t5542 @t6072) @t6028))) % 3.49/3.72 (assume @p4750 (forall @t5891 (= @t6072 (tptp.hAPP (tptp.hAPP @t5905 @t6028) @t5491)))) % 3.49/3.72 (assume @p4751 (forall (@list @t101 @t5491 @t66 @t311) (and (=> @t6056 (= @t6080 @t6072)) (=> @t6057 (= @t6080 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t66 @t6072) @t311) @t101)))))) % 3.49/3.72 (assume @p4752 (forall @t6012 (=> @t6003 (= (tptp.hAPP (tptp.hAPP @t5846 @t6072) (tptp.hAPP (tptp.hAPP @t5627 @t6052) @t5727)) @t5491)))) % 3.49/3.72 (assume @p4753 (forall (@list @t5387 @t349 @t5388 @t10) (= (= @t5873 @t5387) (and (not @t5868) (= @t6079 @t5388) (= (tptp.c_List_Olast @t10 @t5387) @t349))))) % 3.49/3.72 (assume @p4754 (forall (@list @t6081 @t92 @t5388 @t10) (= (tptp.hAPP (tptp.hAPP @t2559 @t5558) (tptp.c_List_Ofoldr @t5376 tptp.tc_Nat_Onat (tptp.hAPP @t6083 @t5534) @t6081 @t199)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2559 @t5557) (tptp.c_List_Ofoldr @t5376 tptp.tc_Nat_Onat (tptp.hAPP @t6083 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5376 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t6082 @t1397) @t5534)) @t259)) (tptp.hAPP (tptp.c_List_Ofilter @t5376 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5376) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5376 @t5376 tptp.tc_HOL_Obool) tptp.c_fequal) @t5728))) @t6081) @t199)))))) % 3.49/3.72 (assume @p4755 (forall @t6090 (=> @t6089 (= (tptp.hAPP (tptp.hAPP @t3096 @t6087) @t6085) @t5424)))) % 3.49/3.72 (assume @p4756 (forall @t6094 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2310 @t6093) @t5424)))) % 3.49/3.72 (assume @p4757 (forall @t6094 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t6095) @t5557)))) % 3.49/3.72 (assume @p4758 (forall @t6094 (= @t6093 (tptp.hAPP @t4800 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t2714 (tptp.hAPP @t3646 @t5424))) @t55))))) % 3.49/3.72 (assume @p4759 (forall (@list @t5387 @t5388 @t55 @t10) (= (tptp.hAPP @t6091 @t5861) (tptp.hAPP (tptp.hAPP @t5839 @t6092) (tptp.hAPP @t6091 @t5387))))) % 3.49/3.72 (assume @p4760 (forall @t6094 (= (tptp.hAPP (tptp.hAPP @t260 @t6095) (tptp.hAPP @t5536 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t4822) @t5388))) @t5557))) % 3.49/3.72 (assume @p4761 (forall @t6098 (and (=> @t2687 (= @t6096 (tptp.hAPP @t5631 @t6092))) (=> @t6097 (= @t6096 @t6092))))) % 3.49/3.72 (assume @p4762 (forall @t6094 (= (= @t6092 @t5388) @t5778))) % 3.49/3.72 (assume @p4763 (forall (@list @t5388 @t2 @t10 @t349 @t55 @t92) (=> @t5549 (=> @t6097 (= (tptp.hAPP @t6091 @t5548) @t6092))))) % 3.49/3.72 (assume @p4764 (forall @t5779 (=> @t5483 (tptp.hBOOL (tptp.hAPP @t5464 @t6092))))) % 3.49/3.72 (assume @p4765 (forall (@list @t5388 @t349 @t51 @t10) (= (tptp.hAPP @t6099 @t5481) (tptp.c_List_Oremove1 @t10 @t349 @t6100)))) % 3.49/3.72 (assume @p4766 (forall @t6098 (=> @t6097 (= (tptp.c_List_Oremove1 @t10 @t349 @t6092) @t6092)))) % 3.49/3.72 (assume @p4767 (forall (@list @t5388 @t51 @t55 @t10) (= (tptp.hAPP @t6091 @t6100) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4622 (tptp.hAPP @t2714 @t51)) @t55)) @t5388)))) % 3.49/3.72 (assume @p4768 (forall @t6094 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t4984 @t4984) @t6088) @t6092))) % 3.49/3.72 (assume @p4769 (forall @t6094 (= (= @t6092 @t5717) (forall @t8 (=> @t5777 @t4828))))) % 3.49/3.72 (assume @p4770 (forall @t4824 (= (tptp.hAPP @t6091 @t5717) @t5717))) % 3.49/3.72 (assume @p4771 (forall @t6046 (= (tptp.c_List_Opartition @t10 @t2 @t5388) (tptp.hAPP (tptp.hAPP @t5562 (tptp.hAPP (tptp.c_List_Ofilter @t10 @t2) @t5388)) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t6101 @t2)) @t5388))))) % 3.49/3.72 (assume @p4772 (forall @t6094 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t4984 @t4984) @t6088) (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t6101 @t55)) @t5388)))) % 3.49/3.72 (assume @p4773 (forall @t6105 (= @t6104 (tptp.hAPP @t5395 @t6103)))) % 3.49/3.72 (assume @p4774 (forall @t6105 (= (tptp.hAPP @t5536 @t6104) (tptp.hAPP @t5534 @t6103)))) % 3.49/3.72 (assume @p4775 (forall (@list @t55 @t5388 @t349 @t10) (=> @t5485 (=> @t6097 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t6095) @t5557)))))) % 3.49/3.72 (assume @p4776 (forall @t6106 (= (tptp.hAPP @t5480 @t3735) (tptp.hAPP @t5423 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t4821 (tptp.hAPP @t2722 @t610))) @t5388))))) % 3.49/3.72 (assume @p4777 (forall @t6090 (=> @t6089 (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 @t6087)) @t1095)) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 @t6085)) @t4828)))))) % 3.49/3.72 (assume @p4778 (forall @t4824 (= (tptp.c_List_Opartition @t10 @t55 @t5717) @t5739))) % 3.49/3.72 (assume @p4779 (forall @t5712 (=> @t5483 (= (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t3646 (tptp.hAPP @t5423 @t6107))) @t5388) @t6107)))) % 3.49/3.72 (assume @p4780 (forall (@list @t5388 @t349 @t55 @t10) (= (tptp.c_List_Opartition @t10 @t55 @t5632) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t4984 @t4984 @t4987) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t4984 @t5576 @t5576) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6109 (tptp.tc_fun @t5576 @t5576) @t4984) (tptp.c_COMBS @t4984 @t4987 @t4987)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5576 @t6109 @t4984) (tptp.hAPP (tptp.c_COMBB @t4987 @t6108 @t4984) (tptp.hAPP (tptp.c_If @t4987) @t2680))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4984 @t5576 @t4984) @t5562) @t5631)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t4984 @t5668 @t5576) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5576 (tptp.tc_fun @t5668 @t5576) @t4984) (tptp.c_COMBB @t4984 @t4987 @t4984)) @t5562)) @t5631))) @t6088)))) % 3.49/3.72 (assume @p4781 (forall @t6111 (= (tptp.hAPP @t5536 (tptp.hAPP @t6110 @t5388)) (tptp.hAPP @t3081 (tptp.hAPP @t4790 (tptp.hAPP @t5679 (tptp.hAPP (tptp.hAPP @t5799 @t1553) @t5767))))))) % 3.49/3.72 (assume @p4782 (forall @t5730 (= @t6112 (tptp.hAPP (tptp.hAPP @t5394 (tptp.hAPP (tptp.c_Fun_Ocomp @t2655 @t10 @t92 (tptp.c_Option_Othe @t10)) @t2)) (tptp.hAPP (tptp.c_List_Ofilter @t92 (tptp.hAPP @t4852 (tptp.hAPP (tptp.hAPP @t4906 (tptp.hAPP @t4905 @t2)) @t356))) @t5388))))) % 3.49/3.72 (assume @p4783 (forall @t5402 (= (tptp.c_List_Ofoldr @t4984 tptp.tc_Nat_Onat @t6118 @t6117 @t199) (tptp.hAPP @t6116 (tptp.hAPP @t6114 @t5388))))) % 3.49/3.72 (assume @p4784 (forall (@list @t55 @t583 @t316 @t5388 @t10 @t92) (=> (= @t5455 @t5533) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t316) @t583)) (= (tptp.hAPP (tptp.c_Map_Omap__of @t92 @t10 (tptp.hAPP (tptp.c_List_Ofilter @t2625 @t4991) @t5388)) @t316) @t5533))))) % 3.49/3.72 (assume @p4785 (forall @t5428 (= (tptp.c_List_Otranspose @t10 @t6120) (tptp.hAPP @t6119 (tptp.c_List_Otranspose @t92 @t5388))))) % 3.49/3.72 (assume @p4786 (forall @t5550 (= (tptp.c_List_Omap__filter @t92 @t10 @t2 @t5639) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t4984 @t10 @t6112 (tptp.hAPP @t5747 @t6112)) @t566)))) % 3.49/3.72 (assume @p4787 (forall @t3475 (= (tptp.c_List_Omap__filter @t92 @t10 @t2 @t5728) @t5717))) % 3.49/3.72 (assume @p4788 (forall @t385 (= (tptp.c_List_Otranspose @t66 @t6121) @t6121))) % 3.49/3.72 (assume @p4789 (forall @t5402 (= (= @t6117 @t6126) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6125 @t6124)) @t6122))))) % 3.49/3.72 (assume @p4790 (forall (@list @t6127 @t66) (= (tptp.c_List_Otranspose @t66 (tptp.hAPP (tptp.hAPP @t6128 @t5727) @t6127)) (tptp.c_List_Otranspose @t66 @t6127)))) % 3.49/3.72 (assume @p4791 (forall (@list @t6129 @t5388 @t55 @t10) (= (tptp.hAPP @t6135 (tptp.hAPP (tptp.c_List_Ofilter @t6133 (tptp.hAPP @t6134 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6133) tptp.c_Nat_OSuc) @t6132))) (tptp.hAPP @t6131 @t6129))) (tptp.hAPP @t6135 (tptp.hAPP (tptp.c_List_Ofilter @t6133 (tptp.hAPP @t6134 @t6132)) (tptp.hAPP @t6131 (tptp.hAPP @t6130 @t6129))))))) % 3.49/3.72 (assume @p4792 (forall @t5402 (= (tptp.c_Random_Oselect__weight @t10 @t6136) @t5689))) % 3.49/3.72 (assume @p4793 (forall @t5402 (= (tptp.c_Random_Opick @t10 @t6136) @t5693))) % 3.49/3.72 (assume @p4794 (forall @t5695 (=> @t6144 (= @t6142 (tptp.hAPP @t6140 @t6138))))) % 3.49/3.72 (assume @p4795 (forall @t5402 (= @t6143 (tptp.c_List_Ofoldr @t4984 tptp.tc_Nat_Onat @t6118 @t5388 @t199)))) % 3.49/3.72 (assume @p4796 (forall (@list @t5388 @t55 @t2 @t10 @t92) (= @t6148 (tptp.c_List_Omap__filter @t92 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t2655 @t2655) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t92 @t2655 @t6145) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2655 @t6145) @t92) (tptp.c_If @t2655)) @t55)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2655 @t92) @t354) @t2))) @t356) @t5388)))) % 3.49/3.72 (assume @p4797 (forall (@list @t2 @t5388 @t168 @t10 @t92) (=> @t5549 (=> @t5488 (=> @t6150 (=> (= (tptp.hAPP @t6005 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP (tptp.hAPP @t4453 (tptp.hAPP tptp.c_fequal @t2354)) @t2)) @t5388)) @t168) (= (tptp.hAPP @t5731 @t6149) @t5388))))))) % 3.49/3.72 (assume @p4798 (forall @t6050 (= (tptp.c_List_Osublist @t10 @t5388 @t1261) (tptp.hAPP @t6135 (tptp.hAPP @t6155 @t6152))))) % 3.49/3.72 (assume @p4799 (forall @t385 (=> @t625 (tptp.c_List_Olinorder__class_Osorted @t66 @t5727)))) % 3.49/3.72 (assume @p4800 (forall @t353 (=> @t625 (tptp.c_List_Olinorder__class_Osorted @t66 @t5926)))) % 3.49/3.72 (assume @p4801 (forall (@list @t5388 @t1 @t10) (=> @t622 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP (tptp.c_List_Ofilter @t10 (tptp.hAPP @t2722 @t6156)) @t5388))))) % 3.49/3.72 (assume @p4802 (forall @t5701 (=> @t622 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5395 (tptp.hAPP (tptp.c_List_Ofilter @t92 (tptp.hAPP (tptp.hAPP @t4902 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t2309 @t92) tptp.c_fequal) @t2)) @t6156)) @t5388)))))) % 3.49/3.72 (assume @p4803 (forall (@list @t55 @t5388 @t2 @t92 @t10) (=> @t622 (=> @t6157 (tptp.c_List_Olinorder__class_Osorted @t10 @t6148))))) % 3.49/3.72 (assume @p4804 (forall @t499 (= (tptp.hAPP @t5795 @t6158) @t1536))) % 3.49/3.72 (assume @p4805 (forall @t499 (=> @t477 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t6158) (tptp.hAPP @t1437 @t773))))) % 3.49/3.72 (assume @p4806 (forall @t5891 (=> @t625 (=> @t6003 (=> @t6159 (tptp.c_List_Olinorder__class_Osorted @t66 @t6072)))))) % 3.49/3.72 (assume @p4807 (forall @t1710 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t526) @t65)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t235) (tptp.c_List_Oupt @t471 @t65)) (tptp.c_List_Oupt @t471 @t526))))) % 3.49/3.72 (assume @p4808 (forall @t498 (=> @t1532 @t6161))) % 3.49/3.72 (assume @p4809 (forall @t3058 (= (= @t6162 @t6160) (or (= @t1483 @t199) @t1529)))) % 3.49/3.72 (assume @p4810 (forall @t6032 (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5631 @t6163)) (and @t968 (tptp.c_List_Olinorder__class_Osorted @t10 @t6163)))))) % 3.49/3.72 (assume @p4811 (forall @t5490 (=> @t625 (=> @t963 (=> (tptp.c_List_Olinorder__class_Osorted @t66 @t6164) (tptp.c_List_Olinorder__class_Osorted @t66 (tptp.hAPP @t5628 @t6164))))))) % 3.49/3.72 (assume @p4812 (forall @t478 (=> @t925 (= (tptp.c_List_Oupt @t471 @t493) (tptp.hAPP @t6165 (tptp.c_List_Oupt @t473 @t493)))))) % 3.49/3.72 (assume @p4813 (forall @t499 @t6168)) % 3.49/3.72 (assume @p4814 (forall @t499 (and @t6168 (=> (not @t925) (= @t6167 @t6160))))) % 3.49/3.72 (assume @p4815 (forall @t5487 (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5632) (and @t6169 (forall @t8 (=> @t5777 @t4744))))))) % 3.49/3.72 (assume @p4816 (forall @t5880 (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5861) (and @t6169 @t6170 (forall @t8 (=> @t5777 (forall @t2975 (=> (tptp.hBOOL (tptp.hAPP @t3261 @t5442)) (tptp.hBOOL (tptp.hAPP @t4749 @t2967))))))))))) % 3.49/3.72 (assume @p4817 (forall (@list @t473 @t471 @t235) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t235) @t6158) (tptp.c_List_Oupt @t526 @t473)))) % 3.49/3.72 (assume @p4818 (forall @t5932 (=> @t625 (=> @t6159 (tptp.c_List_Olinorder__class_Osorted @t66 @t5976))))) % 3.49/3.72 (assume @p4819 (forall @t499 (=> @t477 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t6158) @t471)))) % 3.49/3.72 (assume @p4820 (forall @t5484 (=> @t622 (=> @t6169 (tptp.c_List_Olinorder__class_Osorted @t10 @t5838))))) % 3.49/3.72 (assume @p4821 (forall @t499 (and @t6171 (=> (not @t477) @t6161)))) % 3.49/3.72 (assume @p4822 (forall @t499 @t6171)) % 3.49/3.72 (assume @p4823 (forall @t3058 (= @t3056 @t6172))) % 3.49/3.72 (assume @p4824 (forall @t3058 (= @t6172 @t3056))) % 3.49/3.72 (assume @p4825 (forall @t5880 (=> @t622 (=> @t6169 (=> @t5483 (=> @t6170 (=> @t5892 @t6173))))))) % 3.49/3.72 (assume @p4826 (forall @t5487 (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 @t5551) @t6169)))) % 3.49/3.72 (assume @p4827 (forall @t499 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t6158)))) % 3.49/3.72 (assume @p4828 (forall (@list @t249 @t5491 @t66) (=> @t625 (=> @t6159 (tptp.c_List_Olinorder__class_Osorted @t66 (tptp.c_List_Oremove1 @t66 @t249 @t5491)))))) % 3.49/3.72 (assume @p4829 (forall @t499 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t6158))) % 3.49/3.72 (assume @p4830 (forall @t499 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5478))) % 3.49/3.72 (assume @p4831 (forall @t341 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t2953) @t6174))) % 3.49/3.72 (assume @p4832 (forall @t898 (= (tptp.c_List_Oupt @t471 @t199) @t6160))) % 3.49/3.72 (assume @p4833 (forall @t5932 (=> @t625 (=> @t6159 (tptp.c_List_Olinorder__class_Osorted @t66 @t5907))))) % 3.49/3.72 (assume @p4834 (forall @t5891 (=> @t625 (=> @t6159 (tptp.c_List_Olinorder__class_Osorted @t66 @t6015))))) % 3.49/3.72 (assume @p4835 (forall @t305 (and (=> @t6178 (= @t6177 (tptp.hAPP (tptp.hAPP @t6166 @t6176) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t6176) @t6175)))) (=> (not @t6178) (= @t6177 @t6160))))) % 3.49/3.72 (assume @p4836 (forall (@list @t5388 @t349 @t2 @t92 @t10) (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5395 @t5556)) @t6157)))) % 3.49/3.72 (assume @p4837 (forall @t6179 (=> @t622 (=> @t6157 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5395 (tptp.c_List_Oremove1 @t92 @t349 @t5388))))))) % 3.49/3.72 (assume @p4838 (forall @t341 (= (tptp.hAPP @t6130 @t6174) (tptp.c_List_Oupt @t461 @t48)))) % 3.49/3.72 (assume @p4839 (forall @t6179 (=> @t622 (=> @t6157 (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5395 @t5811)))))) % 3.49/3.72 (assume @p4840 (forall (@list @t5388 @t349 @t1483 @t143) (= (= @t6162 (tptp.hAPP (tptp.hAPP @t6166 @t349) @t5388)) (and (tptp.hBOOL (tptp.hAPP @t1488 @t1483)) (= @t143 @t349) (= (tptp.c_List_Oupt (tptp.hAPP @t1484 @t773) @t1483) @t5388))))) % 3.49/3.72 (assume @p4841 (forall (@list @t349 @t55 @t5388 @t2 @t92 @t10) (=> @t622 (=> @t6157 (=> @t2687 (= (tptp.hAPP @t6146 @t5556) (tptp.hAPP @t5555 @t6147))))))) % 3.49/3.72 (assume @p4842 (forall @t5402 (= (tptp.hAPP (tptp.hAPP @t6180 @t5767) @t6151) @t5388))) % 3.49/3.72 (assume @p4843 (forall @t468 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t19 @t314) (tptp.hAPP @t5723 (tptp.c_List_Oupt @t19 @t461))))) % 3.49/3.72 (assume @p4844 (forall @t460 (= @t2735 (tptp.hAPP @t5723 @t6181)))) % 3.49/3.72 (assume @p4845 (forall @t2911 (=> @t2818 (= @t6184 @t6182)))) % 3.49/3.72 (assume @p4846 (forall @t2911 (=> @t2818 (= @t6182 @t6184)))) % 3.49/3.72 (assume @p4847 (forall (@list @t473 @t311 @t471) (=> (tptp.hBOOL (tptp.hAPP @t491 @t473)) (= (tptp.hAPP (tptp.hAPP @t5792 @t6158) @t311) @t490)))) % 3.49/3.72 (assume @p4848 (forall @t468 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t19 @t314) (tptp.hAPP @t5723 (tptp.c_List_Oupt @t48 @t461))))) % 3.49/3.72 (assume @p4849 (forall (@list @t33 @t29 @t10) (=> @t622 (= (tptp.c_List_Olinorder__class_Osorted @t10 (tptp.hAPP @t5645 @t33)) (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2726 (tptp.hAPP @t5423 @t33))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t29) @t4)))) (tptp.c_List_Olinorder__class_Osorted @t10 @t33)))))) % 3.49/3.72 (assume @p4850 (forall @t468 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t19 @t314) (tptp.hAPP @t5723 (tptp.c_List_Oupt @t48 @t314))))) % 3.49/3.72 (assume @p4851 (forall (@list @t2 @t10 @t314 @t19 @t143) (=> (tptp.hBOOL (tptp.hAPP @t1488 @t1480)) (= (tptp.hAPP (tptp.hAPP @t5766 @t6183) @t143) (tptp.hAPP @t2 (tptp.hAPP @t323 @t143)))))) % 3.49/3.72 (assume @p4852 (forall @t2536 (=> @t622 (=> @t3355 (and (= (tptp.hAPP @t5423 @t5496) @t1261) (tptp.c_List_Olinorder__class_Osorted @t10 @t5496) (tptp.hBOOL (tptp.hAPP @t5464 @t5496))))))) % 3.49/3.72 (assume @p4853 (forall @t460 (= @t3090 (tptp.hAPP @t5723 (tptp.c_List_Oupt @t199 @t48))))) % 3.49/3.72 (assume @p4854 (forall @t6035 (=> @t622 (=> @t5488 (=> @t6169 (= (tptp.hAPP (tptp.hAPP @t5527 @t168) @t6149) @t5388)))))) % 3.49/3.72 (assume @p4855 (forall @t6186 (=> @t625 (=> @t6159 (=> @t925 (=> @t6185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t5788) @t5816)))))))) % 3.49/3.72 (assume @p4856 (forall @t5402 (=> @t622 (= @t6169 (forall @t519 (=> @t5781 (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t1186 @t517)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t964 @t5775) @t5780)))))))))) % 3.49/3.72 (assume @p4857 (forall @t5399 (=> @t5549 (=> @t5444 (=> @t6150 (=> (tptp.hBOOL (tptp.hAPP @t5467 @t5391)) (=> (tptp.c_List_Olinorder__class_Osorted @t92 @t5390) (=> (tptp.hBOOL (tptp.hAPP @t5467 @t5390)) @t6173)))))))) % 3.49/3.72 (assume @p4858 (forall (@list @t143 @t5388 @t1261 @t10) (= (tptp.hAPP @t6135 (tptp.hAPP @t6155 (tptp.hAPP @t6131 (tptp.c_List_Oupt @t143 (tptp.hAPP @t1484 @t5557))))) (tptp.hAPP @t6135 (tptp.hAPP (tptp.c_List_Ofilter @t6133 (tptp.hAPP (tptp.hAPP @t6154 (tptp.hAPP @t6153 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t6133 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2133 @t6133) @t260) @t6132)) @t143))) @t1261)) @t6152))))) % 3.49/3.72 (assume @p4859 (forall (@list @t19 @t10 @t5388) (=> (=> @t6189 @t338) (=> (forall @t1187 (=> (tptp.hBOOL (tptp.hAPP @t1555 @t6187)) (= (tptp.hAPP @t5536 (tptp.hAPP @t6188 @t1183)) @t19))) (= @t6117 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5794 @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5800 (tptp.tc_fun @t5794 @t4984) tptp.tc_Nat_Onat) @t6180) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4984 @t5800 tptp.tc_Nat_Onat) @t5766) @t6188)))) (tptp.c_List_Oupt @t199 @t6187))) @t6181)))))) % 3.49/3.72 (assume @p4860 (forall @t6193 (=> (tptp.hBOOL (tptp.hAPP @t6192 @t6191)) (= (tptp.c_List_Otranspose @t10 @t6191) (tptp.c_List_Otranspose @t10 @t6081))))) % 3.49/3.72 (assume @p4861 (forall @t1752 (=> (tptp.hBOOL (tptp.hAPP @t6192 @t6126)) (= (tptp.c_List_Otranspose @t10 @t6126) @t6126)))) % 3.49/3.72 (assume @p4862 (forall @t6200 (=> @t6199 (=> @t6196 (= (tptp.hAPP @t6140 @t6195) @t6194))))) % 3.49/3.72 (assume @p4863 (forall @t6193 (= @t6203 (tptp.hAPP (tptp.hAPP @t6139 @t6005) @t6201)))) % 3.49/3.72 (assume @p4864 (forall @t2536 (tptp.c_Fun_Oinj__on @t4984 @t4984 @t6204 @t1261))) % 3.49/3.72 (assume @p4865 (forall @t6111 (= (tptp.hAPP @t6110 @t6205) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t6202 @t6110) @t5388))))) % 3.49/3.72 (assume @p4866 (forall @t6193 (= (tptp.hAPP @t5536 @t6206) (tptp.hAPP @t5726 (tptp.hAPP @t6197 @t6081))))) % 3.49/3.72 (assume @p4867 (forall (@list @t5387 @t610 @t5388 @t10) (= (= @t6208 @t5647) (= @t5388 (tptp.hAPP (tptp.hAPP @t5839 @t6207) @t5871))))) % 3.49/3.72 (assume @p4868 (forall @t5641 (= (tptp.hAPP @t6209 @t5634) (tptp.hAPP (tptp.hAPP @t5846 @t6210) @t5926)))) % 3.49/3.72 (assume @p4869 (forall @t5641 (= (tptp.c_List_Oconcat @t66 (tptp.hAPP (tptp.hAPP @t6128 @t101) @t5491)) (tptp.hAPP (tptp.hAPP @t5846 @t101) @t6211)))) % 3.49/3.72 (assume @p4870 (forall @t5484 (= (= @t6208 @t5737) @t6212))) % 3.49/3.72 (assume @p4871 (forall @t5487 (= (= @t5737 @t6208) @t6212))) % 3.49/3.72 (assume @p4872 (forall @t6193 (= (= @t6206 @t5717) @t6214))) % 3.49/3.72 (assume @p4873 (forall @t6193 (= (= @t5717 @t6206) @t6214))) % 3.49/3.72 (assume @p4874 (forall @t385 (= (tptp.hAPP @t6209 @t5727) @t5727))) % 3.49/3.72 (assume @p4875 (forall @t385 (= (tptp.c_List_Oconcat @t66 @t6121) @t5727))) % 3.49/3.72 (assume @p4876 (forall @t5402 (= (= @t5717 @t6208) @t5718))) % 3.49/3.72 (assume @p4877 (forall @t5402 (= (= @t6208 @t5717) @t5718))) % 3.49/3.72 (assume @p4878 (forall @t5402 (= (tptp.hAPP @t6204 @t6205) (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP @t6202 @t6204) (tptp.hAPP (tptp.c_List_Orev @t4984) @t5388)))))) % 3.49/3.72 (assume @p4879 (forall @t5428 (= @t6216 (tptp.hAPP @t5395 @t6215)))) % 3.49/3.72 (assume @p4880 (forall @t5730 (= (tptp.hAPP @t5395 (tptp.c_List_Oconcat @t92 @t5388)) (tptp.c_List_Oconcat @t10 @t6120)))) % 3.49/3.72 (assume @p4881 (forall @t6193 (= @t6206 (tptp.hAPP (tptp.c_List_Ofoldl @t4984 @t4984 @t5839 @t5717) @t6081)))) % 3.49/3.72 (assume @p4882 (forall @t5402 (= @t6208 (tptp.hAPP (tptp.c_List_Ofoldl @t4984 @t10 @t5747 @t5717) @t5388)))) % 3.49/3.72 (assume @p4883 (forall (@list @t6081 @t5388 @t10) (= (tptp.hAPP (tptp.c_List_Ofoldl @t4984 @t4984 @t5839 @t5388) @t6081) (tptp.hAPP @t5860 @t6206)))) % 3.49/3.72 (assume @p4884 (forall @t5402 (= (tptp.hBOOL (tptp.hAPP @t5464 @t6208)) @t5483))) % 3.49/3.72 (assume @p4885 (forall @t5561 (= (tptp.hAPP @t6209 @t5851) (tptp.hAPP (tptp.hAPP @t5846 (tptp.hAPP @t6209 @t5501)) @t6210)))) % 3.49/3.72 (assume @p4886 (forall @t5561 (= (tptp.c_List_Oconcat @t66 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t5541) @t5491) @t5501)) (tptp.hAPP (tptp.hAPP @t5846 @t6211) (tptp.c_List_Oconcat @t66 @t5501))))) % 3.49/3.72 (assume @p4887 (forall @t5402 (= (tptp.hAPP @t5423 @t6205) (tptp.hAPP (tptp.hAPP @t6217 @t6124) @t5423)))) % 3.49/3.72 (assume @p4888 (forall @t5891 (= (tptp.hAPP @t5542 @t6210) @t5543))) % 3.49/3.72 (assume @p4889 (forall @t5891 (=> @t328 (= (tptp.hAPP @t5696 @t6210) @t5697)))) % 3.49/3.72 (assume @p4890 (forall @t5880 (= (= @t6208 @t6207) @t5389))) % 3.49/3.72 (assume @p4891 (forall @t5880 (= (= @t6208 @t5387) (= @t5388 @t6207)))) % 3.49/3.72 (assume @p4892 (forall @t5891 (= (tptp.hAPP @t6209 @t6210) @t5491))) % 3.49/3.72 (assume @p4893 (forall (@list @t168 @t5388 @t2 @t10 @t92) (= @t5636 (tptp.hAPP (tptp.c_List_Ofoldl @t10 @t92 (tptp.hAPP @t2845 @t2) @t168) @t6215)))) % 3.49/3.72 (assume @p4894 (forall (@list @t5388 @t168 @t2 @t92 @t10) (= @t6033 (tptp.c_List_Ofoldr @t92 @t10 (tptp.hAPP (tptp.c_COMBC @t10 @t92 @t10) @t2) @t6215 @t168)))) % 3.49/3.72 (assume @p4895 (forall @t5402 (= (tptp.hAPP @t5423 @t6208) @t5424))) % 3.49/3.72 (assume @p4896 (forall @t5507 (=> (= @t5543 @t5540) (= (tptp.hAPP (tptp.hAPP @t5503 @t6210) (tptp.hAPP @t6204 @t5501)) (tptp.hAPP (tptp.c_List_Orev @t5506) @t5505))))) % 3.49/3.72 (assume @p4897 (forall @t6094 (= (tptp.hAPP @t6204 @t6092) (tptp.hAPP @t6091 @t6208)))) % 3.49/3.72 (assume @p4898 (forall @t6012 (=> @t6003 (= (tptp.c_List_Olast @t66 @t6210) @t6008)))) % 3.49/3.72 (assume @p4899 (forall @t6012 (=> @t6003 (= (tptp.hAPP @t5999 @t6210) @t6052)))) % 3.49/3.72 (assume @p4900 (forall @t5402 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6198 (tptp.hAPP @t6197 @t6117))))) % 3.49/3.72 (assume @p4901 (forall @t6219 (= (tptp.hAPP @t6209 @t5919) (tptp.hAPP (tptp.hAPP @t5969 @t6218) @t6210)))) % 3.49/3.72 (assume @p4902 (forall @t6219 (= (tptp.hAPP @t6209 @t5981) (tptp.hAPP (tptp.hAPP @t5905 @t6218) @t6210)))) % 3.49/3.72 (assume @p4903 (forall @t5933 (= (tptp.hAPP @t6018 @t6210) (tptp.hAPP @t6209 (tptp.hAPP (tptp.c_List_Orotate @t66 (tptp.hAPP @t5977 @t6017)) @t5491))))) % 3.49/3.72 (assume @p4904 (forall @t6223 @t6222)) % 3.49/3.72 (assume @p4905 (forall @t6001 (=> @t5895 (= (tptp.hAPP (tptp.hAPP @t5768 @t6210) @t65) (tptp.hAPP @t5770 (tptp.hAPP @t5977 @t67)))))) % 3.49/3.72 (assume @p4906 (forall @t5880 (=> @t6226 (=> @t6225 (=> @t6224 @t5389))))) % 3.49/3.72 (assume @p4907 (forall @t5880 (=> @t6224 (=> @t6225 (= @t6226 @t5389))))) % 3.49/3.72 (assume @p4908 (forall (@list @t100 @t5491 @t66 @t311) (=> (tptp.hBOOL (tptp.hAPP @t486 @t5543)) (= (tptp.hAPP @t6209 (tptp.hAPP @t6053 @t100)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t66 @t6210) (tptp.hAPP (tptp.hAPP @t1397 (tptp.hAPP @t5977 @t311)) @t773)) @t100))))) % 3.49/3.72 (assume @p4909 (forall @t5428 (= (tptp.c_List_Oconcat @t10 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t92 @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t92 @t4984 @t4984) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t10 @t5668 @t92) @t5624) @t2)) @t5717)) @t5388)) @t5397))) % 3.49/3.72 (assume @p4910 (forall @t6186 (=> @t625 (=> (tptp.c_List_Olinorder__class_Osorted @t66 @t6210) (=> @t925 (=> @t6185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t908 @t5816) @t5788)))))))) % 3.49/3.72 (assume @p4911 (forall @t6106 (=> @t622 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t6208) (and (=> @t5718 (= @t6227 @t610)) (=> @t5738 (= @t6227 (tptp.hAPP (tptp.hAPP @t2569 (tptp.hAPP @t5767 @t199)) @t610)))))))) % 3.49/3.72 (assume @p4912 (forall @t6223 (=> (tptp.hBOOL (tptp.hAPP @t6192 @t6221)) @t6222))) % 3.49/3.72 (assume @p4913 (forall @t5402 (=> @t6199 (and (=> @t6189 (= @t6143 @t199)) (=> (not @t6189) (= @t6143 (tptp.hAPP @t5536 (tptp.hAPP @t6188 @t199)))))))) % 3.49/3.72 (assume @p4914 (forall @t6200 (=> @t6199 (=> @t6196 (= (tptp.hAPP @t6116 @t6195) (tptp.hAPP @t5536 @t6194)))))) % 3.49/3.72 (assume @p4915 (forall @t6193 (= @t6220 (tptp.hAPP (tptp.hAPP @t6202 @t6023) @t6201)))) % 3.49/3.72 (assume @p4916 (forall @t5786 (=> @t6199 (=> @t6144 (=> (tptp.hBOOL (tptp.hAPP @t5784 (tptp.hAPP @t6116 @t6138))) (= (tptp.hAPP (tptp.hAPP @t5766 @t6142) @t1483) (tptp.hAPP (tptp.hAPP @t5766 (tptp.hAPP @t6188 @t1483)) @t143))))))) % 3.49/3.72 (assume @p4917 (forall @t5402 (=> @t6199 (= (tptp.c_List_Otranspose @t10 @t6117) (tptp.c_List_OtakeWhile @t4984 @t6113 @t5388))))) % 3.49/3.72 (assume @p4918 (= @t6160 (tptp.c_List_Oreturn__list @t5714))) % 3.49/3.72 (assume @p4919 (forall @t6105 (= (tptp.c_List_OtakeWhile @t10 @t55 @t5397) (tptp.hAPP @t5395 (tptp.c_List_OtakeWhile @t92 @t6102 @t5388))))) % 3.49/3.72 (assume @p4920 (forall @t1865 (= (tptp.c_List_Oreturn__list @t1477) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) @t1477)))) % 3.49/3.72 (assume @p4921 (forall (@list @t5387 @t55 @t5388 @t92 @t10) (= (tptp.hAPP @t5499 (tptp.c_List_OtakeWhile @t92 @t55 @t5387)) (tptp.c_List_OtakeWhile @t2388 (tptp.hAPP (tptp.c_Fun_Ocomp @t92 tptp.tc_HOL_Obool @t2388 @t55) @t2504) @t5520)))) % 3.49/3.72 (assume @p4922 (forall (@list @t5387 @t5388 @t55 @t92 @t10) (= (tptp.hAPP (tptp.hAPP @t5498 @t6228) @t5387) (tptp.c_List_OtakeWhile @t2388 (tptp.hAPP (tptp.c_Fun_Ocomp @t10 tptp.tc_HOL_Obool @t2388 @t55) @t2505) @t5520)))) % 3.49/3.72 (assume @p4923 (forall (@list @t5388 @t55 @t349 @t10) (=> (tptp.hBOOL (tptp.hAPP @t3580 (tptp.hAPP @t5423 @t6228))) (and @t5485 @t2687)))) % 3.49/3.72 (assume @p4924 (forall @t6094 (= (= @t6228 @t5388) @t5778))) % 3.49/3.72 (assume @p4925 (forall @t6094 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 @t6229) @t5557)))) % 3.49/3.72 (assume @p4926 (forall @t6094 (= @t6228 (tptp.hAPP (tptp.hAPP @t5903 @t6229) @t5388)))) % 3.49/3.72 (assume @p4927 (forall @t5779 (=> @t5483 (tptp.hBOOL (tptp.hAPP @t5464 @t6228))))) % 3.49/3.72 (assume @p4928 (forall @t4824 (= (tptp.c_List_OtakeWhile @t10 @t55 @t5717) @t5717))) % 3.49/3.72 (assume @p4929 (forall @t5779 (=> @t622 (=> @t6169 (tptp.c_List_Olinorder__class_Osorted @t10 @t6228))))) % 3.49/3.72 (assume @p4930 (forall @t6098 (and (=> @t2687 (= @t6230 (tptp.hAPP @t5631 @t6228))) (=> @t6097 (= @t6230 @t5717))))) % 3.49/3.72 (assume @p4931 (forall (@list @t1477 @t5388 @t10 @t349 @t55) (=> @t6097 (= (tptp.c_List_OtakeWhile @t10 @t55 (tptp.hAPP @t5860 @t5840)) @t6228)))) % 3.49/3.72 (assume @p4932 (forall (@list @t5387 @t55 @t5388 @t349 @t10) (=> @t5485 (=> @t6097 (= (tptp.c_List_OtakeWhile @t10 @t55 @t5861) @t6228))))) % 3.49/3.72 (assume @p4933 (forall @t6094 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t404 @t6229) @t5557)) (not (tptp.hBOOL (tptp.hAPP @t55 (tptp.hAPP @t5767 @t6229))))))) % 3.49/3.72 (assume @p4934 (forall (@list @t5388 @t55 @t10 @t1483) (=> (tptp.hBOOL (tptp.hAPP @t5784 @t6229)) (= (tptp.hAPP (tptp.hAPP @t5766 @t6228) @t1483) @t5782)))) % 3.49/3.72 (assume @p4935 (forall @t5930 (= @t5902 (tptp.c_Map_Omap__add @t10 @t92 @t314 (tptp.c_Map_Omap__of @t10 @t92 (tptp.hAPP (tptp.c_List_Orev @t2388) @t5520)))))) % 3.49/3.72 (assume @p4936 (forall @t5751 (=> @t5738 (=> @t5483 (= (tptp.c_List_OtakeWhile @t10 (tptp.hAPP @t4821 (tptp.hAPP @t2722 @t6067)) @t5388) @t6073))))) % 3.49/3.72 (assume @p4937 (forall (@list @t62 @t5388 @t2 @t92 @t10) (=> @t622 (=> (tptp.c_List_Olinorder__class_Osorted @t10 @t6216) (= (tptp.hAPP (tptp.c_List_Ofilter @t92 @t6231) @t5388) (tptp.c_List_OtakeWhile @t92 @t6231 @t5388)))))) % 3.49/3.72 (assume @p4938 (forall @t1863 (=> (tptp.c_List_Onat__list @t485) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list @t485)) @t485)))) % 3.49/3.72 (assume @p4939 (forall @t6193 (= (tptp.hAPP @t5536 (tptp.c_List_Oremdups @t10 @t6206)) (tptp.hAPP @t3064 (tptp.hAPP (tptp.hAPP @t6217 @t6213) @t5423))))) % 3.49/3.72 (assume @p4940 (forall @t5891 (tptp.hBOOL (tptp.hAPP @t5493 @t6232)))) % 3.49/3.72 (assume @p4941 (forall @t5891 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t915 (tptp.hAPP @t5542 @t6232)) @t5543)))) % 3.49/3.72 (assume @p4942 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p4943 (forall @t6237 (=> @t6236 (tptp.class_Lattices_Obounded__lattice @t6235)))) % 3.49/3.72 (assume @p4944 (forall @t6237 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6233) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6235)))) % 3.49/3.72 (assume @p4945 (forall @t6237 (=> @t6236 (tptp.class_Lattices_Obounded__lattice__top @t6235)))) % 3.49/3.72 (assume @p4946 (forall @t6237 (=> @t6236 (tptp.class_Lattices_Obounded__lattice__bot @t6235)))) % 3.49/3.72 (assume @p4947 (forall @t6237 (=> @t6238 (tptp.class_Lattices_Osemilattice__sup @t6235)))) % 3.49/3.72 (assume @p4948 (forall @t6237 (=> @t6238 (tptp.class_Lattices_Osemilattice__inf @t6235)))) % 3.49/3.72 (assume @p4949 (forall @t6237 (=> (tptp.class_Lattices_Odistrib__lattice @t6233) (tptp.class_Lattices_Odistrib__lattice @t6235)))) % 3.49/3.72 (assume @p4950 (forall @t6237 (=> (tptp.class_Lattices_Oboolean__algebra @t6233) (tptp.class_Lattices_Oboolean__algebra @t6235)))) % 3.49/3.72 (assume @p4951 (forall @t6237 (=> (tptp.class_Orderings_Opreorder @t6233) (tptp.class_Orderings_Opreorder @t6235)))) % 3.49/3.72 (assume @p4952 (forall @t6241 (=> @t6240 (tptp.class_Finite__Set_Ofinite @t6235)))) % 3.49/3.72 (assume @p4953 (forall @t6237 (=> @t6238 (tptp.class_Lattices_Olattice @t6235)))) % 3.49/3.72 (assume @p4954 (forall @t6237 (=> (tptp.class_Orderings_Oorder @t6233) (tptp.class_Orderings_Oorder @t6235)))) % 3.49/3.72 (assume @p4955 (forall @t6237 (=> (tptp.class_Orderings_Otop @t6233) (tptp.class_Orderings_Otop @t6235)))) % 3.49/3.72 (assume @p4956 (forall @t6237 (=> (tptp.class_Orderings_Oord @t6233) (tptp.class_Orderings_Oord @t6235)))) % 3.49/3.72 (assume @p4957 (forall @t6237 (=> (tptp.class_Orderings_Obot @t6233) (tptp.class_Orderings_Obot @t6235)))) % 3.49/3.72 (assume @p4958 (forall @t6237 (=> (tptp.class_Groups_Ouminus @t6233) (tptp.class_Groups_Ouminus @t6235)))) % 3.49/3.72 (assume @p4959 (forall @t6237 (=> (tptp.class_Groups_Ominus @t6233) (tptp.class_Groups_Ominus @t6235)))) % 3.49/3.72 (assume @p4960 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4961 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4962 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4963 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4964 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4965 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4966 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4967 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4968 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4969 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4970 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4971 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4972 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4973 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4974 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4975 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4976 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4977 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4978 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4979 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4980 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4981 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4982 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4983 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4984 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4985 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4987 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4988 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4989 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4990 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4991 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4992 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4993 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4994 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4995 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4996 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4997 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4998 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p4999 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5000 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5001 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5002 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5003 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5004 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5005 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5006 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5007 (tptp.class_Smallcheck_Osmall tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5008 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5009 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5010 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5011 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5012 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5013 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5014 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5015 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5016 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5017 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5018 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5019 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5020 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5021 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5022 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5023 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5024 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5025 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5026 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5027 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5028 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5029 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5030 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5031 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 3.49/3.72 (assume @p5032 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5033 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5034 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5035 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5036 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5037 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5038 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5039 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5040 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5041 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5042 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5043 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5044 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5045 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5046 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5047 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5048 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5049 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5050 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5051 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5052 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5053 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5054 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5055 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5056 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5057 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5059 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5060 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5061 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5062 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5063 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5064 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5065 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5066 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5067 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5068 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5070 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5071 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5072 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5073 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5074 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5075 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5076 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5077 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5079 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 3.49/3.72 (assume @p5080 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5082 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5083 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5084 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5085 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5088 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5089 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5091 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5093 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5094 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5095 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 3.49/3.72 (assume @p5096 (forall @t6241 (=> @t6240 (tptp.class_Finite__Set_Ofinite (tptp.tc_sum @t6234 @t6233))))) % 3.49/3.72 (assume @p5097 (forall (@list @t6233) (=> @t6239 (tptp.class_Finite__Set_Ofinite (tptp.tc_Option_Ooption @t6233))))) % 3.49/3.72 (assume @p5098 (forall @t6241 (=> @t6240 (tptp.class_Finite__Set_Ofinite @t6242)))) % 3.49/3.72 (assume @p5099 (forall @t6241 (=> (and (tptp.class_Smallcheck_Osmall @t6234) (tptp.class_Smallcheck_Osmall @t6233)) (tptp.class_Smallcheck_Osmall @t6242)))) % 3.49/3.72 (assume @p5100 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 3.49/3.72 (assume @p5101 (tptp.class_Smallcheck_Osmall tptp.tc_Product__Type_Ounit)) % 3.49/3.72 (assume @p5102 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5103 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5104 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5105 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5106 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5107 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5108 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5109 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5110 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5111 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5112 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5113 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5114 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5115 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5116 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5117 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5118 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5119 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5120 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5121 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5122 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5123 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5124 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5125 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5126 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5127 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5128 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5129 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5130 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5131 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5132 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5133 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5134 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5135 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5136 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5137 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5138 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5139 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5140 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5141 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5142 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 3.49/3.72 (assume @p5143 (forall (@list @t227 @t66) (= (tptp.hAPP (tptp.c_COMBI @t66) @t227) @t227))) % 3.49/3.72 (assume @p5144 (forall (@list @t6243 @t227 @t10 @t66) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t66 @t10) @t227) @t6243) @t227))) % 3.49/3.72 (assume @p5145 (forall (@list @t2412 @t51 @t55 @t530 @t10 @t92) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3024 @t55) @t51) @t2412) (tptp.hAPP @t55 @t6244)))) % 3.49/3.72 (assume @p5146 (forall @t6246 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2825 @t55) @t51) @t2412) (tptp.hAPP @t6245 @t51)))) % 3.49/3.72 (assume @p5147 (forall @t6246 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t92 @t530 @t10) @t55) @t51) @t2412) (tptp.hAPP @t6245 @t6244)))) % 3.49/3.72 (assume @p5148 (forall @t614 (or (not @t6247) @t620))) % 3.49/3.72 (assume @p5149 (forall @t614 (or @t621 @t6247))) % 3.49/3.72 (assume @p5150 (not (tptp.hBOOL tptp.c_fFalse))) % 3.49/3.72 (assume @p5151 (tptp.hBOOL tptp.c_fTrue)) % 3.49/3.72 (assume @p5152 (forall @t1097 (or (not @t6250) @t6249))) % 3.49/3.72 (assume @p5153 (forall @t1097 (or (not @t6249) @t6250))) % 3.49/3.72 (assume @p5154 (forall @t6254 (or @t6249 @t6253 @t6251))) % 3.49/3.72 (assume @p5155 (forall @t6254 (or @t6255 @t6248))) % 3.49/3.72 (assume @p5156 (forall @t6254 (or @t6255 @t6252))) % 3.49/3.72 (assume @p5157 (forall @t6254 (or @t6249 @t6256))) % 3.49/3.72 (assume @p5158 (forall @t6257 (or @t6253 @t6256))) % 3.49/3.72 (assume @p5159 (forall @t6254 (or (not @t6256) @t6248 @t6252))) % 3.49/3.72 (assume @p5160 (forall @t6254 (or @t6248 @t6258))) % 3.49/3.72 (assume @p5161 (forall @t6257 (or @t6253 @t6258))) % 3.49/3.72 (assume @p5162 (forall @t6254 (or (not @t6258) @t6249 @t6252))) % 3.49/3.72 (assume @p5163 (forall @t17 (=> (forall @t8 (=> @t6261 (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.t_a @t9 @t4))) (forall @t57 (=> (and @t6260 (tptp.hBOOL (tptp.hAPP tptp.v_b @t53))) (forall @t54 (=> (tptp.c_Natural_Oevaln tptp.v_c @t53 @t9 @t49) @t6259))))))) % 3.49/3.72 (assume @p5164 @t6273) % 3.49/3.72 (assume @p5165 @t6278) % 3.49/3.72 (assume @p5166 true) % 3.49/3.72 (step @p5167 :rule aci_norm :args ((= @t6285 @t6283))) % 3.49/3.72 (step @p5168 :rule cong :premises (@p5167) :args (@t6287)) % 3.49/3.72 (step @p5169 :rule quant-merge-prenex :args ((= (forall @t57 @t6289) @t6287))) % 3.49/3.72 (step @p5170 :rule alpha_equiv :args (@t6290 (@list @t6279) (@list @t49))) % 3.49/3.72 (step @p5171 :rule refl :args (@t6282)) % 3.49/3.72 (step @p5172 :rule nary_cong :premises (@p5171 @p5170) :args (@t6291)) % 3.49/3.72 (step @p5173 :rule quant-miniscope-or :args ((= @t6289 @t6291))) % 3.49/3.72 (step @p5174 :rule trans :premises (@p5173 @p5172)) % 3.49/3.72 (step @p5175 :rule symm :premises (@p5174)) % 3.49/3.72 (step @p5176 :rule cong :premises (@p5175) :args ((forall @t57 (or @t6282 @t6293)))) % 3.49/3.72 (step @p5177 :rule trans :premises (@p5176 @p5169)) % 3.49/3.72 (step @p5178 :rule trans :premises (@p5177 @p5168)) % 3.49/3.72 (step @p5179 :rule bool-impl-elim :args (@t6260 @t6293)) % 3.49/3.72 (step @p5180 :rule cong :premises (@p5179) :args ((forall @t57 (=> @t6260 @t6293)))) % 3.49/3.72 (step @p5181 :rule trans :premises (@p5180 @p5178)) % 3.49/3.72 (step @p5182 :rule bool-impl-elim :args (@t6270 @t6263)) % 3.49/3.72 (step @p5183 :rule cong :premises (@p5182) :args (@t6274)) % 3.49/3.72 (step @p5184 :rule refl :args (@t6260)) % 3.49/3.72 (step @p5185 :rule cong :premises (@p5184 @p5183) :args (@t6275)) % 3.49/3.72 (step @p5186 :rule cong :premises (@p5185) :args (@t6276)) % 3.49/3.72 (step @p5187 :rule trans :premises (@p5186 @p5181)) % 3.49/3.72 (step @p5188 :rule bool-impl-elim :args (@t6261 @t6266)) % 3.49/3.72 (step @p5189 :rule cong :premises (@p5188) :args (@t6267)) % 3.49/3.72 (step @p5190 :rule cong :premises (@p5189 @p5187) :args (@t6277)) % 3.49/3.72 (step @p5191 :rule cong :premises (@p5190) :args (@t6278)) % 3.49/3.72 (step @p5192 :rule eq_resolve :premises (@p5165 @p5191)) % 3.49/3.72 (step @p5193 :rule not_implies_elim1 :premises (@p5192)) % 3.49/3.72 (step @p5194 :rule aci_norm :args ((= @t6299 @t6297))) % 3.49/3.72 (step @p5195 :rule cong :premises (@p5194) :args (@t6301)) % 3.49/3.72 (step @p5196 :rule quant-merge-prenex :args ((= (forall @t6272 @t6303) @t6301))) % 3.49/3.72 (step @p5197 :rule alpha_equiv :args (@t6304 (@list @t6294) (@list @t50))) % 3.49/3.72 (step @p5198 :rule refl :args (@t6292)) % 3.49/3.72 (step @p5199 :rule nary_cong :premises (@p5198 @p5197) :args (@t6305)) % 3.49/3.72 (step @p5200 :rule quant-miniscope-or :args ((= @t6303 @t6305))) % 3.49/3.72 (step @p5201 :rule trans :premises (@p5200 @p5199)) % 3.49/3.72 (step @p5202 :rule symm :premises (@p5201)) % 3.49/3.72 (step @p5203 :rule cong :premises (@p5202) :args (@t6308)) % 3.49/3.72 (step @p5204 :rule trans :premises (@p5203 @p5196)) % 3.49/3.72 (step @p5205 :rule trans :premises (@p5204 @p5195)) % 3.49/3.72 (step @p5206 :rule refl :args (@t6310)) % 3.49/3.72 (step @p5207 :rule nary_cong :premises (@p5206 @p5205) :args (@t6311)) % 3.49/3.72 (step @p5208 :rule quant-miniscope-or :args ((= (forall @t6272 @t6312) @t6311))) % 3.49/3.72 (step @p5209 :rule aci_norm :args ((= @t6313 @t6312))) % 3.49/3.72 (step @p5210 :rule cong :premises (@p5209) :args ((forall @t6272 @t6313))) % 3.49/3.72 (step @p5211 :rule trans :premises (@p5210 @p5208)) % 3.49/3.72 (step @p5212 :rule trans :premises (@p5211 @p5207)) % 3.49/3.72 (step @p5213 :rule aci_norm :args ((= (or @t6292 (or @t6310 @t6306)) @t6313))) % 3.49/3.73 (step @p5214 :rule bool-impl-elim :args (@t6309 @t6306)) % 3.49/3.73 (step @p5215 :rule nary_cong :premises (@p5198 @p5214) :args ((or @t6292 @t6314))) % 3.49/3.73 (step @p5216 :rule trans :premises (@p5215 @p5213)) % 3.49/3.73 (step @p5217 :rule bool-impl-elim :args (@t6270 @t6314)) % 3.49/3.73 (step @p5218 :rule trans :premises (@p5217 @p5216)) % 3.49/3.73 (step @p5219 :rule cong :premises (@p5218) :args ((forall @t6272 (=> @t6270 @t6314)))) % 3.49/3.73 (step @p5220 :rule trans :premises (@p5219 @p5212)) % 3.49/3.73 (step @p5221 :rule bool-impl-elim :args (@t6260 @t6263)) % 3.49/3.73 (step @p5222 :rule cong :premises (@p5221) :args (@t6265)) % 3.49/3.73 (step @p5223 :rule cong :premises (@p5189 @p5222) :args (@t6268)) % 3.49/3.73 (step @p5224 :rule refl :args (@t6270)) % 3.49/3.73 (step @p5225 :rule cong :premises (@p5224 @p5223) :args (@t6271)) % 3.49/3.73 (step @p5226 :rule cong :premises (@p5225) :args (@t6273)) % 3.49/3.73 (step @p5227 :rule trans :premises (@p5226 @p5220)) % 3.49/3.73 (step @p5228 :rule eq_resolve :premises (@p5164 @p5227)) % 3.49/3.73 (step @p5229 :rule chain_m_resolution :premises (@p5228 @p5193) :args (@t6315 @t6316 (@list @t6309))) % 3.49/3.73 (step @p5230 :rule aci_norm :args ((= @t6283 @t6317))) % 3.49/3.73 (step @p5231 :rule cong :premises (@p5230) :args (@t6318)) % 3.49/3.73 (step @p5232 :rule symm :premises (@p5231)) % 3.49/3.73 (step @p5233 :rule true_intro :premises (@p5232)) % 3.49/3.73 (step @p5234 :rule eq-symm :args (@t6318 @t6319)) % 3.49/3.73 (step @p5235 :rule trans :premises (@p5234 @p5233)) % 3.49/3.73 (step @p5236 :rule cong :premises (@p5232 @p5231) :args ((= @t6319 @t6318))) % 3.49/3.73 (step @p5237 :rule trans :premises (@p5236 @p5235)) % 3.49/3.73 (step @p5238 :rule true_elim :premises (@p5237)) % 3.49/3.73 (step @p5239 :rule quant_var_reordering :args ((= (forall (@list @t53 @t6279 @t50) @t6317) @t6319))) % 3.49/3.73 (step @p5240 :rule alpha_equiv :args ((forall (@list @t6322 @t6320 @t6321) (or (not (tptp.c_Natural_Oevaln @t6269 @t6322 tptp.v_n @t6320)) (not (tptp.v_P @t6321 @t6322)) (and (tptp.v_P @t6321 @t6320) (not (tptp.hBOOL (tptp.hAPP tptp.v_b @t6320)))))) @t6323 (@list @t53 @t6279 @t50))) % 3.49/3.73 (step @p5241 :rule alpha_equiv :args (@t6315 (@list @t53 @t49 @t6294) @t6323)) % 3.49/3.73 (step @p5242 :rule trans :premises (@p5241 @p5240 @p5239 @p5238)) % 3.49/3.73 (step @p5243 :rule equiv_elim1 :premises (@p5242)) % 3.49/3.73 (step @p5244 :rule reordering :premises (@p5243) :args ((or @t6318 (not @t6315)))) % 3.49/3.73 (step @p5245 :rule chain_m_resolution :premises (@p5244 @p5229) :args (@t6318 @t6316 (@list @t6315))) % 3.49/3.73 (step @p5246 :rule not_implies_elim2 :premises (@p5192)) % 3.49/3.73 (step @p5247 false :rule chain_m_resolution :premises (@p5246 @p5245) :args (false @t6316 (@list @t6318))) % 3.49/3.73 ) % 3.49/3.73 % SZS output end Proof % 3.49/3.73 % cvc5 exiting %------------------------------------------------------------------------------