%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW294+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:04:41 AM UTC 2026 % Result : Theorem 54.75s 54.93s % Output : Proof 54.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW294+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n017.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 21:42:31 EDT 2026 % 0.19/0.35 % CPUTime : % 1.09/1.97 %----Proving TF0_NAR, FOF, or CNF % 54.75/54.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 54.75/54.93 --- Run --no-e-matching --full-saturate-quant at 6... % 54.75/54.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 54.75/54.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 54.75/54.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 54.75/54.93 % SZS status Theorem % 54.75/54.93 % SZS output start Proof % 54.75/54.93 ( % 54.75/54.93 (declare-sort $$unsorted 0) % 54.75/54.93 (declare-const tptp.v_P (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.v_pn $$unsorted) % 54.75/54.93 (declare-const tptp.v_Q (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Lazy__Sequence_Olazy__sequence (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random_Oiterate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ofrac (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onumber__of__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_Odivmod__int (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onum (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__not__random__dseq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Onat__of $$unsorted) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord_Omax (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oapfst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oprod_Oprod__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olinorder__class_Osorted__list__of__set (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Osnd (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_Odivmod__int__rel (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Oempty (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_OFrac $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onorm__frac__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat__Transfer_Onat__set (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onorm__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Odiv__mod__code__numeral (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_fconj $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_fimplies $$unsorted) % 54.75/54.93 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofun__left__comm__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_Oadjust (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Ofst (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_OSuc__code__numeral (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random_Ominus__shift (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Random_Olog (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 54.75/54.93 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oone__frac (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_OnegDivAlg__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Olex (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ovname_OLoc (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_ORes $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onat__lcm (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Predicate_OPowp (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_OMin $$unsorted) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Ohit__bound (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Opos__not__seq (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Oint__of $$unsorted) % 54.75/54.93 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_Osum_Osum__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat__Transfer_Ois__nat (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Olexn (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hilbert__Choice_OEps (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ovname_Ovname__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_OnegDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ovname_OGlb (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Ohb__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_OArg $$unsorted) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Ohb__not__seq (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Set_OCollect (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_OSuc $$unsorted) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Obody $$unsorted) % 54.75/54.93 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_fequal $$unsorted) % 54.75/54.93 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Natural_Onewlocs $$unsorted) % 54.75/54.93 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Odenom (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_ORep__Frac (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OSumr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_OWT__bodies Bool) % 54.75/54.93 (declare-const tptp.c_Random__Sequence_ORandom (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OInl (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_fTrue $$unsorted) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Osubtract__code__numeral $$unsorted) % 54.75/54.93 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_OposDivAlg (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_String_Ochar $$unsorted) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Omonoid__add__class_Olistsum (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Code__Evaluation_Oterm $$unsorted) % 54.75/54.93 (declare-const tptp.c_String_Ochar_Ochar__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_Osum_Osum__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olattice_OInf__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Natural_Ogetlocs $$unsorted) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat__Numeral_Oneg $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Olenlex (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random_Orange (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olattice_OSup__fin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oplus__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__image__simple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OProjl (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Divides_OnegateSnd $$unsorted) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Opos__single (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_String_Ochar_OChar $$unsorted) % 54.75/54.93 (declare-const tptp.c_DSequence_Oempty (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Opos__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oint__lcm (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Opair__box_OPairBox (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_String_Oliteral $$unsorted) % 54.75/54.93 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_Ocom__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_OWT $$unsorted) % 54.75/54.93 (declare-const tptp.c_Natural_Oupdate $$unsorted) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_HOL_Obool $$unsorted) % 54.75/54.93 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ovname_Ovname__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OInr (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_Osum_Osum__size (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Random_Oinc__shift (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_fdisj $$unsorted) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Osemilattice__big (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_OPls $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_Int_Oint $$unsorted) % 54.75/54.93 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olattice__class_OInf__fin (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Oneg__single (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Nat_Onat $$unsorted) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_fNot $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Onat $$unsorted) % 54.75/54.93 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 54.75/54.93 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Oneg__single (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ozero__frac (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_OAbs__Frac (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Natural_Osetlocs $$unsorted) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_String_Ochar_Ochar__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Divides_Odivmod__nat__rel (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oint__gcd $$unsorted) % 54.75/54.93 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Option_Ois__none (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_Oint__ge__less__than (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Com_Ocom $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Onat__list (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Omax__ext (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Otimes__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oof__frac (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oupto__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oinverse__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olistset (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_Osemiring__1__class_ONats (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Oneg__decr__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Groups_Ocomm__monoid (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_Ovname_Ovname__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oless__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Oless__eq__frac (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Osingle (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Com_Opname $$unsorted) % 54.75/54.93 (declare-const tptp.c_Random_Oselect__weight (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_Nitpick_Opair__box (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Opos__empty (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Oneg__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Ofull__small_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Oneg__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__DSequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__bind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Olistrel1 (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 54.75/54.93 (declare-const tptp.c_Divides_Opdivmod (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Quickcheck_Obeyond (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random__Sequence_Oempty (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Olinordered__ab__semigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OProjr (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random__Sequence_Osingle (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Ofinite__psubset (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ouminus__frac (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ounknown (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord_Omin (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olistrel (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_HOL_OEx (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Lattices_Obounded__lattice__top (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_DSequence_Ounion (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Sum__Type_OSuml (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_ORep__Integ $$unsorted) % 54.75/54.93 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Predicate_Oreflp (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Com_Ostate $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Otranspose (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_Com_Oloc $$unsorted) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofun__left__comm (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Olattice__class_OSup__fin (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oscomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Omap__pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 54.75/54.93 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 54.75/54.93 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Ointrel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Equiv__Relations_Oequivp (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Oof__nat $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_Odivmod__nat (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Ofull__small__class_Ofull__small (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_OAbs__Integ $$unsorted) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random__Sequence_Obind (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.tc_Com_Ovname $$unsorted) % 54.75/54.93 (declare-const tptp.c_Random__Sequence_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_OInteg $$unsorted) % 54.75/54.93 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Set_OBall (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Big__Operators_Ocomm__monoid__big (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.tc_String_Onibble $$unsorted) % 54.75/54.93 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Int_Oint__ge__less__than2 (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_fFalse $$unsorted) % 54.75/54.93 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Divides_OposDivAlg__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__single (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random_Opick (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Option_Ooption_Ooption__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Owf_H (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Set_OPow (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Ohb__single (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_HOL_OAll (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Onat__gcd__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 54.75/54.93 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Opair__box_Opair__box__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_New__Random__Sequence_Opos__empty (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Oorelse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Osmall_H (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Code__Numeral_Onat__of__aux (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Osmall_H__rel $$unsorted) % 54.75/54.93 (declare-const tptp.c_Smallcheck_Osmall__class_Osmall (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Smallcheck_Osmall (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Com_Obodies $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oupto (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Ozip (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 54.75/54.93 (declare-const tptp.c_List_Olinorder__class_Oinsort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Product__Type_Oapsnd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Ocard_H (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oset__Cons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Nitpick_Osetsum_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Rings_Oinverse (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Random_Oselect (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Groups_Osemigroup (-> $$unsorted $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_Lazy__Sequence_Oanamorph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Otranspose__rel (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olinorder__class_Oinsort__insert__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olexord (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Opartition (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Groups_Osemigroup__add (-> $$unsorted Bool)) % 54.75/54.93 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_DSequence_Osingle (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oconcat (-> $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_List_Oreturn__list (-> $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 54.75/54.93 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 54.75/54.93 (define @t1 () (@var "V_g_2" $$unsorted)) % 54.75/54.93 (define @t2 () (@var "V_f_2" $$unsorted)) % 54.75/54.93 (define @t3 () (= @t2 @t1)) % 54.75/54.93 (define @t4 () (@var "B_x" $$unsorted)) % 54.75/54.93 (define @t5 () (tptp.hAPP @t1 @t4)) % 54.75/54.93 (define @t6 () (tptp.hAPP @t2 @t4)) % 54.75/54.93 (define @t7 () (= @t6 @t5)) % 54.75/54.93 (define @t8 () (@list @t4)) % 54.75/54.93 (define @t9 () (@var "V_pname_H_2" $$unsorted)) % 54.75/54.93 (define @t10 () (@var "V_pname_2" $$unsorted)) % 54.75/54.93 (define @t11 () (= @t10 @t9)) % 54.75/54.93 (define @t12 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t9)) % 54.75/54.93 (define @t13 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t10)) % 54.75/54.93 (define @t14 () (@var "T_b" $$unsorted)) % 54.75/54.93 (define @t15 () (tptp.c_Groups_Ozero__class_Ozero @t14)) % 54.75/54.93 (define @t16 () (@var "V_x_2" $$unsorted)) % 54.75/54.93 (define @t17 () (= @t16 @t15)) % 54.75/54.93 (define @t18 () (@list @t16 @t14)) % 54.75/54.93 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t20 () (@var "V_pname" $$unsorted)) % 54.75/54.93 (define @t21 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t20)) % 54.75/54.93 (define @t22 () (@list @t20)) % 54.75/54.93 (define @t23 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ocom)) % 54.75/54.93 (define @t24 () (@var "V_s" $$unsorted)) % 54.75/54.93 (define @t25 () (@list @t24)) % 54.75/54.93 (define @t26 () (@var "V_c" $$unsorted)) % 54.75/54.93 (define @t27 () (@list @t26)) % 54.75/54.93 (define @t28 () (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool)) % 54.75/54.93 (define @t29 () (tptp.c_Nat_Osize__class_Osize tptp.tc_String_Ochar)) % 54.75/54.93 (define @t30 () (@var "V_nibble2" $$unsorted)) % 54.75/54.93 (define @t31 () (@var "V_nibble1" $$unsorted)) % 54.75/54.93 (define @t32 () (tptp.hAPP (tptp.hAPP tptp.c_String_Ochar_OChar @t31) @t30)) % 54.75/54.93 (define @t33 () (@list @t30 @t31)) % 54.75/54.93 (define @t34 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t35 () (@var "V_fun_2" $$unsorted)) % 54.75/54.93 (define @t36 () (@var "V_vname_2" $$unsorted)) % 54.75/54.93 (define @t37 () (tptp.c_Com_Ocom_OCall @t36 @t10 @t35)) % 54.75/54.93 (define @t38 () (@list @t35 @t10 @t36)) % 54.75/54.93 (define @t39 () (tptp.c_Com_Ocom_OAss @t36 @t35)) % 54.75/54.93 (define @t40 () (@list @t35 @t36)) % 54.75/54.93 (define @t41 () (@var "V_f7_2" $$unsorted)) % 54.75/54.93 (define @t42 () (tptp.hAPP @t41 @t10)) % 54.75/54.93 (define @t43 () (@var "V_f8_2" $$unsorted)) % 54.75/54.93 (define @t44 () (@var "V_f6_2" $$unsorted)) % 54.75/54.93 (define @t45 () (@var "V_f5_2" $$unsorted)) % 54.75/54.93 (define @t46 () (@var "V_f4_2" $$unsorted)) % 54.75/54.93 (define @t47 () (@var "V_f3_2" $$unsorted)) % 54.75/54.93 (define @t48 () (@var "V_f2_2" $$unsorted)) % 54.75/54.93 (define @t49 () (@var "V_f1_2" $$unsorted)) % 54.75/54.93 (define @t50 () (@list @t10 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t51 () (@var "V_c_2" $$unsorted)) % 54.75/54.93 (define @t52 () (@var "V_b_2" $$unsorted)) % 54.75/54.93 (define @t53 () (tptp.hAPP @t2 @t52)) % 54.75/54.93 (define @t54 () (@var "V_a_2" $$unsorted)) % 54.75/54.93 (define @t55 () (tptp.hAPP @t2 @t54)) % 54.75/54.93 (define @t56 () (tptp.hAPP @t55 @t52)) % 54.75/54.93 (define @t57 () (@var "V_z_2" $$unsorted)) % 54.75/54.93 (define @t58 () (@var "V_fun_H_2" $$unsorted)) % 54.75/54.93 (define @t59 () (@var "V_vname_H_2" $$unsorted)) % 54.75/54.93 (define @t60 () (tptp.c_Com_Ocom_OAss @t59 @t58)) % 54.75/54.93 (define @t61 () (@list @t58 @t59)) % 54.75/54.93 (define @t62 () (tptp.c_Com_Ocom_OCall @t59 @t9 @t58)) % 54.75/54.93 (define @t63 () (@list @t58 @t9 @t59)) % 54.75/54.93 (define @t64 () (= @t35 @t58)) % 54.75/54.93 (define @t65 () (= @t36 @t59)) % 54.75/54.93 (define @t66 () (@var "V_nibble2_H_2" $$unsorted)) % 54.75/54.93 (define @t67 () (@var "V_nibble2_2" $$unsorted)) % 54.75/54.93 (define @t68 () (@var "V_nibble1_H_2" $$unsorted)) % 54.75/54.93 (define @t69 () (@var "V_nibble1_2" $$unsorted)) % 54.75/54.93 (define @t70 () (tptp.hAPP (tptp.hAPP tptp.c_String_Ochar_OChar @t69) @t67)) % 54.75/54.93 (define @t71 () (@list @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t72 () (tptp.hAPP (tptp.hAPP @t48 @t36) @t35)) % 54.75/54.93 (define @t73 () (@list @t35 @t36 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t74 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t43 @t36) @t10) @t35)) % 54.75/54.93 (define @t75 () (@list @t35 @t10 @t36 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t76 () (@var "V_n" $$unsorted)) % 54.75/54.93 (define @t77 () (@list @t76)) % 54.75/54.93 (define @t78 () (@var "V_pname_H" $$unsorted)) % 54.75/54.93 (define @t79 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t78)) % 54.75/54.93 (define @t80 () (@list @t78)) % 54.75/54.93 (define @t81 () (@var "V_t" $$unsorted)) % 54.75/54.93 (define @t82 () (= @t81 @t24)) % 54.75/54.93 (define @t83 () (@var "V_a1" $$unsorted)) % 54.75/54.93 (define @t84 () (@var "V_a2" $$unsorted)) % 54.75/54.93 (define @t85 () (tptp.hAPP (tptp.hAPP @t49 @t69) @t67)) % 54.75/54.93 (define @t86 () (@list @t67 @t69 @t49 @t14)) % 54.75/54.93 (define @t87 () (@var "V_Pa_2" $$unsorted)) % 54.75/54.93 (define @t88 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t87)) % 54.75/54.93 (define @t89 () (@var "V_X_2" $$unsorted)) % 54.75/54.93 (define @t90 () (tptp.c_Com_Ocom_OCall @t89 @t87 @t54)) % 54.75/54.93 (define @t91 () (@var "V_pna_2" $$unsorted)) % 54.75/54.93 (define @t92 () (tptp.c_Com_Ocom_OCall @t89 @t91 @t54)) % 54.75/54.93 (define @t93 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t91)) % 54.75/54.93 (define @t94 () (@var "V_a1_2" $$unsorted)) % 54.75/54.93 (define @t95 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t94)) % 54.75/54.93 (define @t96 () (@var "V_a3_2" $$unsorted)) % 54.75/54.93 (define @t97 () (@var "V_a2_2" $$unsorted)) % 54.75/54.93 (define @t98 () (@var "V_s_2" $$unsorted)) % 54.75/54.93 (define @t99 () (tptp.hAPP @t54 @t98)) % 54.75/54.93 (define @t100 () (tptp.hAPP tptp.c_Natural_Oupdate @t98)) % 54.75/54.93 (define @t101 () (tptp.hAPP (tptp.hAPP @t100 @t89) @t99)) % 54.75/54.93 (define @t102 () (@var "V_n_2" $$unsorted)) % 54.75/54.93 (define @t103 () (tptp.c_Com_Ocom_OAss @t89 @t54)) % 54.75/54.93 (define @t104 () (@var "V_t_2" $$unsorted)) % 54.75/54.93 (define @t105 () (= @t104 @t101)) % 54.75/54.93 (define @t106 () (tptp.c_Com_Ocom_OAss @t94 @t97)) % 54.75/54.93 (define @t107 () (@list @t97 @t94)) % 54.75/54.93 (define @t108 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t96) @t94) (tptp.hAPP @t97 @t96))) % 54.75/54.93 (define @t109 () (@var "V_a4_2" $$unsorted)) % 54.75/54.93 (define @t110 () (@list @t109 @t96 @t97 @t94)) % 54.75/54.93 (define @t111 () (tptp.hAPP (tptp.c_Natural_Oevalc @t103) @t98)) % 54.75/54.93 (define @t112 () (@list @t96 @t97 @t94)) % 54.75/54.93 (define @t113 () (@var "V_c2" $$unsorted)) % 54.75/54.93 (define @t114 () (@var "V_c1" $$unsorted)) % 54.75/54.93 (define @t115 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t114))) % 54.75/54.93 (define @t116 () (tptp.c_Com_Ocom_OSemi @t114 @t113)) % 54.75/54.93 (define @t117 () (@var "V_s2" $$unsorted)) % 54.75/54.93 (define @t118 () (@var "V_s0" $$unsorted)) % 54.75/54.93 (define @t119 () (@var "V_c0" $$unsorted)) % 54.75/54.93 (define @t120 () (tptp.c_Com_Ocom_OSemi @t119 @t114)) % 54.75/54.93 (define @t121 () (@var "V_s1" $$unsorted)) % 54.75/54.93 (define @t122 () (@var "V_com2_2" $$unsorted)) % 54.75/54.93 (define @t123 () (@var "V_com1_2" $$unsorted)) % 54.75/54.93 (define @t124 () (tptp.hAPP (tptp.hAPP @t46 @t123) @t122)) % 54.75/54.93 (define @t125 () (tptp.c_Com_Ocom_OSemi @t123 @t122)) % 54.75/54.93 (define @t126 () (@list @t122 @t123 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t127 () (@var "V_c2_2" $$unsorted)) % 54.75/54.93 (define @t128 () (@var "V_c1_2" $$unsorted)) % 54.75/54.93 (define @t129 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t128))) % 54.75/54.93 (define @t130 () (tptp.c_Com_Ocom_OCond @t52 @t128 @t127)) % 54.75/54.93 (define @t131 () (tptp.hBOOL (tptp.hAPP @t52 @t98))) % 54.75/54.93 (define @t132 () (not @t131)) % 54.75/54.93 (define @t133 () (@var "V_s1_2" $$unsorted)) % 54.75/54.93 (define @t134 () (@var "V_c0_2" $$unsorted)) % 54.75/54.93 (define @t135 () (tptp.c_Com_Ocom_OCond @t52 @t134 @t128)) % 54.75/54.93 (define @t136 () (tptp.c_Natural_Oevaln @t135 @t98 @t102 @t133)) % 54.75/54.93 (define @t137 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t51))) % 54.75/54.93 (define @t138 () (@var "V_Y_2" $$unsorted)) % 54.75/54.93 (define @t139 () (tptp.c_Com_Ocom_OLocal @t138 @t54 @t51)) % 54.75/54.93 (define @t140 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t139))) % 54.75/54.93 (define @t141 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t45 @t35) @t123) @t122)) % 54.75/54.93 (define @t142 () (tptp.c_Com_Ocom_OCond @t35 @t123 @t122)) % 54.75/54.93 (define @t143 () (@list @t122 @t123 @t35 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t144 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t135) @t98) @t133))) % 54.75/54.93 (define @t145 () (tptp.hAPP (tptp.c_Natural_Oevalc @t128) @t98)) % 54.75/54.93 (define @t146 () (tptp.c_Natural_Oevalc @t114)) % 54.75/54.93 (define @t147 () (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP)) % 54.75/54.93 (define @t148 () (tptp.hAPP @t147 @t24)) % 54.75/54.93 (define @t149 () (@list @t81 @t24)) % 54.75/54.93 (define @t150 () (@var "V_a5_2" $$unsorted)) % 54.75/54.93 (define @t151 () (@var "B_s1" $$unsorted)) % 54.75/54.93 (define @t152 () (tptp.c_Natural_Oevalc @t94)) % 54.75/54.93 (define @t153 () (@list @t151)) % 54.75/54.93 (define @t154 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t150) @t97) @t109))) % 54.75/54.93 (define @t155 () (tptp.hBOOL (tptp.hAPP @t94 @t97))) % 54.75/54.93 (define @t156 () (not @t155)) % 54.75/54.93 (define @t157 () (tptp.hAPP (tptp.c_Natural_Oevalc @t96) @t97)) % 54.75/54.93 (define @t158 () (tptp.hBOOL (tptp.hAPP @t157 @t109))) % 54.75/54.93 (define @t159 () (@var "V_u" $$unsorted)) % 54.75/54.93 (define @t160 () (tptp.hAPP (tptp.c_Natural_Oevalc @t26) @t24)) % 54.75/54.93 (define @t161 () (tptp.hBOOL (tptp.hAPP @t160 @t81))) % 54.75/54.93 (define @t162 () (@var "V_com2_H_2" $$unsorted)) % 54.75/54.93 (define @t163 () (@var "V_com1_H_2" $$unsorted)) % 54.75/54.93 (define @t164 () (tptp.c_Com_Ocom_OCond @t58 @t163 @t162)) % 54.75/54.93 (define @t165 () (@var "V_com_2" $$unsorted)) % 54.75/54.93 (define @t166 () (@var "V_loc_2" $$unsorted)) % 54.75/54.93 (define @t167 () (tptp.c_Com_Ocom_OLocal @t166 @t35 @t165)) % 54.75/54.93 (define @t168 () (tptp.c_Com_Ocom_OSemi @t163 @t162)) % 54.75/54.93 (define @t169 () (= @t122 @t162)) % 54.75/54.93 (define @t170 () (= @t123 @t163)) % 54.75/54.93 (define @t171 () (@var "V_com_H_2" $$unsorted)) % 54.75/54.93 (define @t172 () (= @t165 @t171)) % 54.75/54.93 (define @t173 () (@var "V_loc_H_2" $$unsorted)) % 54.75/54.93 (define @t174 () (= @t166 @t173)) % 54.75/54.93 (define @t175 () (tptp.c_Com_Ocom_OLocal @t173 @t58 @t171)) % 54.75/54.93 (define @t176 () (@var "B_n" $$unsorted)) % 54.75/54.93 (define @t177 () (@list @t176)) % 54.75/54.93 (define @t178 () (tptp.c_Natural_Oevalc @t51)) % 54.75/54.93 (define @t179 () (tptp.hAPP @t178 @t98)) % 54.75/54.93 (define @t180 () (tptp.c_Natural_Oevaln @t26 @t24 @t76 @t81)) % 54.75/54.93 (define @t181 () (@var "V_a" $$unsorted)) % 54.75/54.93 (define @t182 () (@list @t181)) % 54.75/54.93 (define @t183 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t94))) % 54.75/54.93 (define @t184 () (@var "V_a6_2" $$unsorted)) % 54.75/54.93 (define @t185 () (tptp.c_Natural_Oevaln @t184 @t97 @t109 @t150)) % 54.75/54.93 (define @t186 () (tptp.c_Natural_Oevaln @t96 @t97 @t109 @t150)) % 54.75/54.93 (define @t187 () (and @t183 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t97)))) % 54.75/54.93 (define @t188 () (@list @t171 @t58 @t173)) % 54.75/54.93 (define @t189 () (@list @t162 @t163 @t58)) % 54.75/54.93 (define @t190 () (@var "V_com2" $$unsorted)) % 54.75/54.93 (define @t191 () (@var "V_com1" $$unsorted)) % 54.75/54.93 (define @t192 () (tptp.c_Com_Ocom_OSemi @t191 @t190)) % 54.75/54.93 (define @t193 () (@var "V_com2_H" $$unsorted)) % 54.75/54.93 (define @t194 () (@var "V_com1_H" $$unsorted)) % 54.75/54.93 (define @t195 () (tptp.c_Com_Ocom_OSemi @t194 @t193)) % 54.75/54.93 (define @t196 () (@list @t193 @t194)) % 54.75/54.93 (define @t197 () (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t165)) % 54.75/54.93 (define @t198 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t47 @t166) @t35) @t165)) % 54.75/54.93 (define @t199 () (@list @t165 @t35 @t166 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t200 () (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t122)) % 54.75/54.93 (define @t201 () (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t123)) % 54.75/54.93 (define @t202 () (@var "V_s0_2" $$unsorted)) % 54.75/54.93 (define @t203 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t202)) % 54.75/54.93 (define @t204 () (tptp.c_Com_Ovname_OLoc @t138)) % 54.75/54.93 (define @t205 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t133) @t204) (tptp.hAPP @t203 @t138))) % 54.75/54.93 (define @t206 () (tptp.c_Natural_Oevalc @t139)) % 54.75/54.93 (define @t207 () (tptp.hAPP @t54 @t202)) % 54.75/54.93 (define @t208 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t202) @t204) @t207)) % 54.75/54.93 (define @t209 () (tptp.c_Com_Ovname_OLoc @t96)) % 54.75/54.93 (define @t210 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t97) @t209) (tptp.hAPP @t109 @t97))) % 54.75/54.93 (define @t211 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t97)) % 54.75/54.93 (define @t212 () (tptp.hAPP @t211 @t96)) % 54.75/54.93 (define @t213 () (tptp.hAPP tptp.c_Natural_Oupdate @t151)) % 54.75/54.93 (define @t214 () (tptp.hAPP (tptp.hAPP @t213 @t209) @t212)) % 54.75/54.93 (define @t215 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t150) @t209) @t212)) % 54.75/54.93 (define @t216 () (tptp.c_Com_Ocom_OLocal @t96 @t109 @t94)) % 54.75/54.93 (define @t217 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate @t184) @t209) @t212)) % 54.75/54.93 (define @t218 () (@var "V_pn" $$unsorted)) % 54.75/54.93 (define @t219 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t218)) % 54.75/54.93 (define @t220 () (tptp.hAPP tptp.c_Com_Obody @t218)) % 54.75/54.93 (define @t221 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 54.75/54.93 (define @t222 () (tptp.hAPP @t221 @t220)) % 54.75/54.93 (define @t223 () (@var "V_P" $$unsorted)) % 54.75/54.93 (define @t224 () (tptp.hAPP tptp.c_Com_Obody @t223)) % 54.75/54.93 (define @t225 () (tptp.hAPP @t221 @t224)) % 54.75/54.93 (define @t226 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t223)) % 54.75/54.93 (define @t227 () (tptp.c_Com_Ocom_OWhile @t52 @t51)) % 54.75/54.93 (define @t228 () (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t227))) % 54.75/54.93 (define @t229 () (tptp.c_Natural_Oevalc @t227)) % 54.75/54.93 (define @t230 () (tptp.hAPP @t229 @t98)) % 54.75/54.93 (define @t231 () (@var "V_s2_2" $$unsorted)) % 54.75/54.93 (define @t232 () (tptp.hBOOL (tptp.hAPP @t52 @t202))) % 54.75/54.93 (define @t233 () (tptp.c_Com_Ocom_OWhile @t58 @t171)) % 54.75/54.93 (define @t234 () (tptp.c_Com_Ocom_OWhile @t35 @t165)) % 54.75/54.93 (define @t235 () (tptp.c_Com_Ovname_OLoc @t166)) % 54.75/54.93 (define @t236 () (tptp.c_Com_Ocom_OWhile @t94 @t96)) % 54.75/54.93 (define @t237 () (tptp.c_Natural_Oevaln @t96 @t97 @t109 @t151)) % 54.75/54.93 (define @t238 () (tptp.c_Natural_Oevalc @t236)) % 54.75/54.93 (define @t239 () (tptp.hAPP @t238 @t151)) % 54.75/54.93 (define @t240 () (tptp.hBOOL (tptp.hAPP @t157 @t151))) % 54.75/54.93 (define @t241 () (tptp.hAPP @t238 @t97)) % 54.75/54.93 (define @t242 () (@list @t171 @t58)) % 54.75/54.93 (define @t243 () (tptp.hAPP (tptp.hAPP @t44 @t35) @t165)) % 54.75/54.93 (define @t244 () (@list @t165 @t35 @t43 @t41 @t44 @t45 @t46 @t47 @t48 @t49 @t14)) % 54.75/54.93 (define @t245 () (tptp.hAPP @t221 (tptp.hAPP tptp.c_Com_Obody @t94))) % 54.75/54.93 (define @t246 () (tptp.c_Natural_Oevalc @t95)) % 54.75/54.93 (define @t247 () (@var "V_loc" $$unsorted)) % 54.75/54.93 (define @t248 () (tptp.c_Com_Ovname_OLoc @t247)) % 54.75/54.93 (define @t249 () (@list @t247)) % 54.75/54.93 (define @t250 () (tptp.hAPP (tptp.hAPP @t100 @t204) @t99)) % 54.75/54.93 (define @t251 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t98)) % 54.75/54.93 (define @t252 () (= @t104 (tptp.hAPP (tptp.hAPP @t213 @t204) (tptp.hAPP @t251 @t138)))) % 54.75/54.93 (define @t253 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Com_Ovname)) % 54.75/54.93 (define @t254 () (tptp.hAPP tptp.c_Nat_OSuc @t76)) % 54.75/54.93 (define @t255 () (tptp.hAPP @t48 @t166)) % 54.75/54.93 (define @t256 () (@list @t166 @t48 @t49 @t14)) % 54.75/54.93 (define @t257 () (@var "B_y" $$unsorted)) % 54.75/54.93 (define @t258 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 54.75/54.93 (define @t259 () (tptp.hAPP @t258 @t257)) % 54.75/54.93 (define @t260 () (@list @t257)) % 54.75/54.93 (define @t261 () (@list @t54)) % 54.75/54.93 (define @t262 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t133) @t203)) @t89) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t133) tptp.c_Com_ORes))) % 54.75/54.93 (define @t263 () (tptp.c_Com_Ovname_OLoc tptp.c_Com_OArg)) % 54.75/54.93 (define @t264 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t202) tptp.c_Natural_Onewlocs)) @t263) @t207)) % 54.75/54.93 (define @t265 () (@var "V_s_H" $$unsorted)) % 54.75/54.93 (define @t266 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t97) tptp.c_Natural_Onewlocs)) @t263) (tptp.hAPP @t96 @t97))) % 54.75/54.93 (define @t267 () (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t151) tptp.c_Com_ORes)) % 54.75/54.93 (define @t268 () (tptp.hAPP tptp.c_Natural_Osetlocs @t151)) % 54.75/54.93 (define @t269 () (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP @t268 @t211))) % 54.75/54.93 (define @t270 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t150) @t211)) @t184) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t150) tptp.c_Com_ORes))) % 54.75/54.93 (define @t271 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t109) @t211)) @t150) (tptp.hAPP (tptp.hAPP tptp.c_Natural_Ogetlocs @t109) tptp.c_Com_ORes))) % 54.75/54.93 (define @t272 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP (tptp.hAPP tptp.c_Natural_Osetlocs @t98) tptp.c_Natural_Onewlocs)) @t263) @t99)) % 54.75/54.93 (define @t273 () (= @t133 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Natural_Oupdate (tptp.hAPP @t268 @t251)) @t89) @t267))) % 54.75/54.93 (define @t274 () (@var "V_b" $$unsorted)) % 54.75/54.93 (define @t275 () (tptp.c_Natural_Oevaln @t225 @t24 @t176 @t121)) % 54.75/54.93 (define @t276 () (not @t275)) % 54.75/54.93 (define @t277 () (tptp.hAPP tptp.c_Nat_OSuc @t176)) % 54.75/54.93 (define @t278 () (= @t76 @t277)) % 54.75/54.93 (define @t279 () (forall @t177 (=> @t278 @t276))) % 54.75/54.93 (define @t280 () (not @t279)) % 54.75/54.93 (define @t281 () (tptp.c_Natural_Oevaln @t226 @t24 @t76 @t121)) % 54.75/54.93 (define @t282 () (=> @t281 @t280)) % 54.75/54.93 (define @t283 () (@list @t121 @t76 @t24 @t223)) % 54.75/54.93 (define @t284 () (forall @t283 @t282)) % 54.75/54.93 (define @t285 () (tptp.c_Option_Ooption_ONone @t14)) % 54.75/54.93 (define @t286 () (@var "V_fa_2" $$unsorted)) % 54.75/54.93 (define @t287 () (@list @t286 @t14)) % 54.75/54.93 (define @t288 () (@var "V_x" $$unsorted)) % 54.75/54.93 (define @t289 () (@var "T_a" $$unsorted)) % 54.75/54.93 (define @t290 () (tptp.c_Option_Ooption_OSome @t289)) % 54.75/54.93 (define @t291 () (@list @t288 @t289)) % 54.75/54.93 (define @t292 () (tptp.c_Option_Ooption_OSome @t14)) % 54.75/54.93 (define @t293 () (= @t16 (tptp.hAPP @t292 @t257))) % 54.75/54.93 (define @t294 () (= @t16 @t285)) % 54.75/54.93 (define @t295 () (@list @t14 @t16)) % 54.75/54.93 (define @t296 () (tptp.c_Option_Ooption_ONone @t289)) % 54.75/54.93 (define @t297 () (@var "V_a_H" $$unsorted)) % 54.75/54.93 (define @t298 () (tptp.hAPP @t290 @t297)) % 54.75/54.93 (define @t299 () (@list @t297 @t289)) % 54.75/54.93 (define @t300 () (@var "V_a_H_2" $$unsorted)) % 54.75/54.93 (define @t301 () (= @t54 @t300)) % 54.75/54.93 (define @t302 () (tptp.hAPP @t292 @t54)) % 54.75/54.93 (define @t303 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_Option_Ooption @t289))) % 54.75/54.93 (define @t304 () (@list @t181 @t289)) % 54.75/54.93 (define @t305 () (@list @t289)) % 54.75/54.93 (define @t306 () (@var "V_m" $$unsorted)) % 54.75/54.93 (define @t307 () (tptp.hAPP tptp.c_Nat_OSuc @t306)) % 54.75/54.93 (define @t308 () (@list @t306)) % 54.75/54.93 (define @t309 () (forall @t308 (not (= @t19 @t307)))) % 54.75/54.93 (define @t310 () (@var "V_nat_H_1" $$unsorted)) % 54.75/54.93 (define @t311 () (@var "V_nat_H" $$unsorted)) % 54.75/54.93 (define @t312 () (@var "V_glb" $$unsorted)) % 54.75/54.93 (define @t313 () (tptp.c_Com_Ovname_OGlb @t312)) % 54.75/54.93 (define @t314 () (@list @t312)) % 54.75/54.93 (define @t315 () (tptp.hAPP tptp.c_Nat_OSuc @t19)) % 54.75/54.93 (define @t316 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t317 () (tptp.hAPP @t316 (tptp.hAPP @t286 @t54))) % 54.75/54.93 (define @t318 () (tptp.hAPP @t317 @t315)) % 54.75/54.93 (define @t319 () (tptp.c_Groups_Oplus__class_Oplus @t289)) % 54.75/54.93 (define @t320 () (tptp.hAPP @t319 @t274)) % 54.75/54.93 (define @t321 () (tptp.hAPP @t320 @t26)) % 54.75/54.93 (define @t322 () (tptp.hAPP @t319 @t181)) % 54.75/54.93 (define @t323 () (tptp.hAPP @t322 @t274)) % 54.75/54.93 (define @t324 () (tptp.hAPP @t319 @t323)) % 54.75/54.93 (define @t325 () (tptp.hAPP @t324 @t26)) % 54.75/54.93 (define @t326 () (= @t325 (tptp.hAPP @t322 @t321))) % 54.75/54.93 (define @t327 () (@list @t26 @t274 @t181 @t289)) % 54.75/54.93 (define @t328 () (= @t52 @t51)) % 54.75/54.93 (define @t329 () (tptp.c_Groups_Oplus__class_Oplus @t14)) % 54.75/54.93 (define @t330 () (tptp.hAPP @t329 @t54)) % 54.75/54.93 (define @t331 () (tptp.hAPP @t330 @t51)) % 54.75/54.93 (define @t332 () (tptp.hAPP @t330 @t52)) % 54.75/54.93 (define @t333 () (tptp.class_Groups_Ocancel__semigroup__add @t14)) % 54.75/54.93 (define @t334 () (@list @t51 @t52 @t54 @t14)) % 54.75/54.93 (define @t335 () (tptp.hAPP @t329 @t51)) % 54.75/54.93 (define @t336 () (tptp.hAPP @t335 @t54)) % 54.75/54.93 (define @t337 () (tptp.hAPP @t329 @t52)) % 54.75/54.93 (define @t338 () (tptp.hAPP @t337 @t54)) % 54.75/54.93 (define @t339 () (= @t274 @t26)) % 54.75/54.93 (define @t340 () (tptp.hAPP @t322 @t26)) % 54.75/54.93 (define @t341 () (=> (= @t323 @t340) @t339)) % 54.75/54.93 (define @t342 () (tptp.class_Groups_Ocancel__semigroup__add @t289)) % 54.75/54.93 (define @t343 () (tptp.hAPP @t319 @t26)) % 54.75/54.93 (define @t344 () (tptp.hAPP @t343 @t181)) % 54.75/54.93 (define @t345 () (tptp.hAPP @t320 @t181)) % 54.75/54.93 (define @t346 () (@list @t26 @t181 @t274 @t289)) % 54.75/54.93 (define @t347 () (@var "V_m_2" $$unsorted)) % 54.75/54.93 (define @t348 () (= @t347 @t102)) % 54.75/54.93 (define @t349 () (@var "V_k_2" $$unsorted)) % 54.75/54.93 (define @t350 () (tptp.hAPP @t316 @t102)) % 54.75/54.93 (define @t351 () (tptp.hAPP @t350 @t349)) % 54.75/54.93 (define @t352 () (tptp.hAPP @t316 @t347)) % 54.75/54.93 (define @t353 () (tptp.hAPP @t352 @t349)) % 54.75/54.93 (define @t354 () (@list @t102 @t349 @t347)) % 54.75/54.93 (define @t355 () (tptp.hAPP @t316 @t349)) % 54.75/54.93 (define @t356 () (tptp.hAPP @t355 @t102)) % 54.75/54.93 (define @t357 () (tptp.hAPP @t355 @t347)) % 54.75/54.93 (define @t358 () (@list @t102 @t347 @t349)) % 54.75/54.93 (define @t359 () (@var "V_k" $$unsorted)) % 54.75/54.93 (define @t360 () (tptp.hAPP @t316 @t76)) % 54.75/54.93 (define @t361 () (tptp.hAPP @t360 @t359)) % 54.75/54.93 (define @t362 () (tptp.hAPP @t316 @t306)) % 54.75/54.93 (define @t363 () (tptp.hAPP @t362 @t76)) % 54.75/54.93 (define @t364 () (@list @t359 @t76 @t306)) % 54.75/54.93 (define @t365 () (@var "V_z" $$unsorted)) % 54.75/54.93 (define @t366 () (tptp.hAPP @t316 @t288)) % 54.75/54.93 (define @t367 () (@var "V_y" $$unsorted)) % 54.75/54.93 (define @t368 () (tptp.hAPP @t316 @t367)) % 54.75/54.93 (define @t369 () (tptp.hAPP @t368 @t365)) % 54.75/54.93 (define @t370 () (@list @t365 @t367 @t288)) % 54.75/54.93 (define @t371 () (tptp.hAPP @t360 @t306)) % 54.75/54.93 (define @t372 () (@list @t76 @t306)) % 54.75/54.93 (define @t373 () (@var "V_glb_H_2" $$unsorted)) % 54.75/54.93 (define @t374 () (@var "V_glb_2" $$unsorted)) % 54.75/54.93 (define @t375 () (tptp.c_Com_Ovname_OGlb @t374)) % 54.75/54.93 (define @t376 () (= @t102 @t19)) % 54.75/54.93 (define @t377 () (= @t347 @t19)) % 54.75/54.93 (define @t378 () (tptp.hAPP @t352 @t102)) % 54.75/54.93 (define @t379 () (@list @t102 @t347)) % 54.75/54.93 (define @t380 () (= @t76 @t19)) % 54.75/54.93 (define @t381 () (tptp.hAPP @t362 @t254)) % 54.75/54.93 (define @t382 () (tptp.hAPP (tptp.hAPP @t316 @t307) @t76)) % 54.75/54.93 (define @t383 () (tptp.hAPP tptp.c_Nat_OSuc @t363)) % 54.75/54.93 (define @t384 () (tptp.c_Groups_Ozero__class_Ozero @t289)) % 54.75/54.93 (define @t385 () (tptp.hAPP @t319 @t384)) % 54.75/54.93 (define @t386 () (= (tptp.hAPP @t385 @t181) @t181)) % 54.75/54.93 (define @t387 () (tptp.class_Groups_Omonoid__add @t289)) % 54.75/54.93 (define @t388 () (tptp.class_Groups_Ocomm__monoid__add @t289)) % 54.75/54.93 (define @t389 () (= @t54 @t15)) % 54.75/54.93 (define @t390 () (tptp.hAPP @t330 @t54)) % 54.75/54.93 (define @t391 () (tptp.class_Groups_Olinordered__ab__group__add @t14)) % 54.75/54.93 (define @t392 () (@list @t54 @t14)) % 54.75/54.93 (define @t393 () (= (tptp.hAPP @t322 @t384) @t181)) % 54.75/54.93 (define @t394 () (= @t102 @t315)) % 54.75/54.93 (define @t395 () (= @t347 @t315)) % 54.75/54.93 (define @t396 () (or (and @t395 @t376) (and @t377 @t394))) % 54.75/54.93 (define @t397 () (@var "V_loc_H" $$unsorted)) % 54.75/54.93 (define @t398 () (tptp.c_Com_Ovname_OLoc @t397)) % 54.75/54.93 (define @t399 () (= @t288 @t367)) % 54.75/54.93 (define @t400 () (@list @t367 @t288)) % 54.75/54.93 (define @t401 () (@var "V_nat_H_2" $$unsorted)) % 54.75/54.93 (define @t402 () (@var "V_nat_2" $$unsorted)) % 54.75/54.93 (define @t403 () (tptp.hAPP tptp.c_Nat_OSuc @t402)) % 54.75/54.93 (define @t404 () (@var "V_nat" $$unsorted)) % 54.75/54.93 (define @t405 () (tptp.hAPP tptp.c_Nat_OSuc @t404)) % 54.75/54.93 (define @t406 () (@list @t404)) % 54.75/54.93 (define @t407 () (tptp.hAPP @t49 @t374)) % 54.75/54.93 (define @t408 () (@list @t374 @t48 @t49 @t14)) % 54.75/54.93 (define @t409 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t23 @t165)) @t315)) % 54.75/54.93 (define @t410 () (@list @t165 @t35)) % 54.75/54.93 (define @t411 () (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Com_Ocom_Ocom__size @t165)) @t315)) % 54.75/54.93 (define @t412 () (@list @t122 @t123 @t35)) % 54.75/54.93 (define @t413 () (@list @t165 @t35 @t166)) % 54.75/54.93 (define @t414 () (@list @t190 @t191)) % 54.75/54.93 (define @t415 () (tptp.class_Rings_Ocomm__semiring__1 @t289)) % 54.75/54.93 (define @t416 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t14)) % 54.75/54.93 (define @t417 () (@list @t54 @t52 @t14)) % 54.75/54.93 (define @t418 () (= (= @t390 @t15) @t389)) % 54.75/54.93 (define @t419 () (tptp.hAPP @t48 @t54)) % 54.75/54.93 (define @t420 () (@var "T_c" $$unsorted)) % 54.75/54.93 (define @t421 () (tptp.c_Option_Ooption_OSome @t420)) % 54.75/54.93 (define @t422 () (tptp.hAPP @t421 @t54)) % 54.75/54.93 (define @t423 () (tptp.c_Option_Ooption_Ooption__case @t14 @t420 @t49 @t48)) % 54.75/54.93 (define @t424 () (@list @t54 @t48 @t49 @t420 @t14)) % 54.75/54.93 (define @t425 () (tptp.c_Option_Ooption_ONone @t420)) % 54.75/54.93 (define @t426 () (@list @t48 @t49 @t420 @t14)) % 54.75/54.93 (define @t427 () (@var "V_d" $$unsorted)) % 54.75/54.93 (define @t428 () (tptp.hAPP @t343 @t427)) % 54.75/54.93 (define @t429 () (tptp.hAPP @t322 @t428)) % 54.75/54.93 (define @t430 () (@list @t427 @t26 @t181 @t289)) % 54.75/54.93 (define @t431 () (tptp.hAPP @t319 @t340)) % 54.75/54.93 (define @t432 () (tptp.hAPP @t320 @t427)) % 54.75/54.93 (define @t433 () (@list @t427 @t26 @t274 @t181 @t289)) % 54.75/54.93 (define @t434 () (@var "V_i_2" $$unsorted)) % 54.75/54.93 (define @t435 () (@var "V_inc_2" $$unsorted)) % 54.75/54.93 (define @t436 () (tptp.hAPP tptp.c_Nat_OSuc @t102)) % 54.75/54.93 (define @t437 () (tptp.class_Rings_Osemiring__1 @t14)) % 54.75/54.93 (define @t438 () (=> (= @t104 @t98) @t131)) % 54.75/54.93 (define @t439 () (@var "V_fb_2" $$unsorted)) % 54.75/54.93 (define @t440 () (tptp.hAPP @t439 @t52)) % 54.75/54.93 (define @t441 () (tptp.c_Nitpick_Opair__box_OPairBox @t14 @t420 @t54 @t52)) % 54.75/54.93 (define @t442 () (tptp.c_Sum__Type_OInr @t420 @t14)) % 54.75/54.93 (define @t443 () (tptp.hAPP @t442 @t52)) % 54.75/54.93 (define @t444 () (tptp.c_Sum__Type_OInl @t14 @t420)) % 54.75/54.93 (define @t445 () (tptp.hAPP @t444 @t54)) % 54.75/54.93 (define @t446 () (@var "B_a" $$unsorted)) % 54.75/54.93 (define @t447 () (@list @t446)) % 54.75/54.93 (define @t448 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t449 () (tptp.hAPP @t448 @t19)) % 54.75/54.93 (define @t450 () (@var "B_nat" $$unsorted)) % 54.75/54.93 (define @t451 () (= @t367 @t19)) % 54.75/54.93 (define @t452 () (not @t451)) % 54.75/54.93 (define @t453 () (tptp.hBOOL (tptp.hAPP @t87 @t19))) % 54.75/54.93 (define @t454 () (tptp.hBOOL (tptp.hAPP @t87 @t176))) % 54.75/54.93 (define @t455 () (tptp.hAPP @t87 @t349)) % 54.75/54.93 (define @t456 () (tptp.hAPP @t448 @t76)) % 54.75/54.93 (define @t457 () (tptp.hAPP @t448 @t307)) % 54.75/54.93 (define @t458 () (tptp.hBOOL (tptp.hAPP @t457 @t254))) % 54.75/54.93 (define @t459 () (tptp.hAPP @t448 @t306)) % 54.75/54.93 (define @t460 () (tptp.hBOOL (tptp.hAPP @t459 @t76))) % 54.75/54.93 (define @t461 () (@var "V_b_H_2" $$unsorted)) % 54.75/54.93 (define @t462 () (= @t52 @t461)) % 54.75/54.93 (define @t463 () (and @t301 @t462)) % 54.75/54.93 (define @t464 () (@list @t461 @t300 @t52 @t54 @t420 @t14)) % 54.75/54.93 (define @t465 () (tptp.hAPP @t448 @t102)) % 54.75/54.93 (define @t466 () (tptp.hBOOL (tptp.hAPP @t465 @t347))) % 54.75/54.93 (define @t467 () (tptp.hAPP @t448 @t347)) % 54.75/54.93 (define @t468 () (tptp.hBOOL (tptp.hAPP @t467 @t102))) % 54.75/54.93 (define @t469 () (not @t348)) % 54.75/54.93 (define @t470 () (tptp.hAPP @t448 @t288)) % 54.75/54.93 (define @t471 () (tptp.hBOOL (tptp.hAPP @t470 @t367))) % 54.75/54.93 (define @t472 () (not @t399)) % 54.75/54.93 (define @t473 () (= @t306 @t76)) % 54.75/54.93 (define @t474 () (not @t473)) % 54.75/54.93 (define @t475 () (tptp.hBOOL (tptp.hAPP @t456 @t306))) % 54.75/54.93 (define @t476 () (@list @t306 @t76)) % 54.75/54.93 (define @t477 () (tptp.hAPP @t87 @t102)) % 54.75/54.93 (define @t478 () (tptp.hBOOL (tptp.hAPP @t477 @t347))) % 54.75/54.93 (define @t479 () (tptp.c_Orderings_Oord__class_Oless @t14)) % 54.75/54.93 (define @t480 () (tptp.hAPP @t479 @t54)) % 54.75/54.93 (define @t481 () (tptp.hBOOL (tptp.hAPP @t480 @t52))) % 54.75/54.93 (define @t482 () (tptp.hAPP @t337 @t51)) % 54.75/54.93 (define @t483 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t14)) % 54.75/54.93 (define @t484 () (@list @t52 @t51 @t54 @t14)) % 54.75/54.93 (define @t485 () (tptp.hAPP @t335 @t52)) % 54.75/54.93 (define @t486 () (@list @t52 @t54 @t51 @t14)) % 54.75/54.93 (define @t487 () (tptp.c_Orderings_Oord__class_Oless @t289)) % 54.75/54.93 (define @t488 () (tptp.hAPP @t487 @t340)) % 54.75/54.93 (define @t489 () (tptp.hBOOL (tptp.hAPP @t488 @t321))) % 54.75/54.93 (define @t490 () (tptp.hAPP @t487 @t181)) % 54.75/54.93 (define @t491 () (tptp.hBOOL (tptp.hAPP @t490 @t274))) % 54.75/54.93 (define @t492 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t289)) % 54.75/54.93 (define @t493 () (tptp.hAPP @t343 @t274)) % 54.75/54.93 (define @t494 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t344) @t493))) % 54.75/54.93 (define @t495 () (tptp.hBOOL (tptp.hAPP @t488 @t432))) % 54.75/54.93 (define @t496 () (tptp.hAPP @t487 @t26)) % 54.75/54.93 (define @t497 () (tptp.hBOOL (tptp.hAPP @t496 @t427))) % 54.75/54.93 (define @t498 () (=> @t497 @t495)) % 54.75/54.93 (define @t499 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t289)) % 54.75/54.93 (define @t500 () (@list @t274 @t26 @t181 @t289)) % 54.75/54.93 (define @t501 () (@list @t274 @t181 @t26 @t289)) % 54.75/54.93 (define @t502 () (tptp.hBOOL (tptp.hAPP @t449 @t102))) % 54.75/54.93 (define @t503 () (not @t376)) % 54.75/54.93 (define @t504 () (@list @t102)) % 54.75/54.93 (define @t505 () (not @t380)) % 54.75/54.93 (define @t506 () (tptp.hBOOL (tptp.hAPP @t449 @t76))) % 54.75/54.93 (define @t507 () (tptp.hBOOL (tptp.hAPP @t457 @t76))) % 54.75/54.93 (define @t508 () (not @t460)) % 54.75/54.93 (define @t509 () (tptp.hBOOL (tptp.hAPP @t459 @t254))) % 54.75/54.93 (define @t510 () (@var "V_i" $$unsorted)) % 54.75/54.93 (define @t511 () (tptp.hAPP tptp.c_Nat_OSuc @t510)) % 54.75/54.93 (define @t512 () (@var "V_j" $$unsorted)) % 54.75/54.93 (define @t513 () (tptp.hAPP @t448 @t512)) % 54.75/54.93 (define @t514 () (tptp.hBOOL (tptp.hAPP @t513 @t359))) % 54.75/54.93 (define @t515 () (tptp.hAPP @t448 @t510)) % 54.75/54.93 (define @t516 () (tptp.hBOOL (tptp.hAPP @t515 @t512))) % 54.75/54.93 (define @t517 () (@list @t359 @t512 @t510)) % 54.75/54.93 (define @t518 () (= @t102 @t347)) % 54.75/54.93 (define @t519 () (tptp.hAPP tptp.c_Nat_OSuc @t347)) % 54.75/54.93 (define @t520 () (tptp.hBOOL (tptp.hAPP @t465 @t519))) % 54.75/54.93 (define @t521 () (= @t520 @t518)) % 54.75/54.93 (define @t522 () (not @t466)) % 54.75/54.93 (define @t523 () (@list @t347 @t102)) % 54.75/54.93 (define @t524 () (or @t468 @t348)) % 54.75/54.93 (define @t525 () (tptp.hBOOL (tptp.hAPP @t467 @t436))) % 54.75/54.93 (define @t526 () (tptp.hAPP @t316 @t510)) % 54.75/54.93 (define @t527 () (tptp.hAPP @t526 @t512)) % 54.75/54.93 (define @t528 () (tptp.hAPP @t448 @t527)) % 54.75/54.93 (define @t529 () (tptp.hAPP @t316 @t359)) % 54.75/54.93 (define @t530 () (tptp.hAPP @t529 @t76)) % 54.75/54.93 (define @t531 () (@var "V_l" $$unsorted)) % 54.75/54.93 (define @t532 () (tptp.hAPP @t448 @t359)) % 54.75/54.93 (define @t533 () (tptp.hBOOL (tptp.hAPP @t532 @t531))) % 54.75/54.93 (define @t534 () (tptp.hAPP @t316 @t512)) % 54.75/54.93 (define @t535 () (tptp.hAPP @t534 @t531)) % 54.75/54.93 (define @t536 () (tptp.hAPP @t526 @t359)) % 54.75/54.93 (define @t537 () (tptp.hAPP @t448 @t536)) % 54.75/54.93 (define @t538 () (@list @t531 @t359 @t512 @t510)) % 54.75/54.93 (define @t539 () (tptp.hAPP @t534 @t359)) % 54.75/54.93 (define @t540 () (tptp.hAPP @t362 @t512)) % 54.75/54.93 (define @t541 () (@list @t306 @t512 @t510)) % 54.75/54.93 (define @t542 () (tptp.hAPP @t534 @t306)) % 54.75/54.93 (define @t543 () (tptp.hAPP @t534 @t510)) % 54.75/54.93 (define @t544 () (@list @t510 @t512)) % 54.75/54.93 (define @t545 () (@list @t512 @t510)) % 54.75/54.93 (define @t546 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t323) @t384))) % 54.75/54.93 (define @t547 () (tptp.hAPP @t487 @t274)) % 54.75/54.93 (define @t548 () (tptp.hBOOL (tptp.hAPP @t547 @t384))) % 54.75/54.93 (define @t549 () (=> @t548 @t546)) % 54.75/54.93 (define @t550 () (tptp.hBOOL (tptp.hAPP @t490 @t384))) % 54.75/54.93 (define @t551 () (tptp.class_Groups_Oordered__comm__monoid__add @t289)) % 54.75/54.93 (define @t552 () (@list @t274 @t181 @t289)) % 54.75/54.93 (define @t553 () (tptp.hAPP @t487 @t384)) % 54.75/54.93 (define @t554 () (tptp.hBOOL (tptp.hAPP @t553 @t323))) % 54.75/54.93 (define @t555 () (tptp.hBOOL (tptp.hAPP @t553 @t274))) % 54.75/54.93 (define @t556 () (=> @t555 @t554)) % 54.75/54.93 (define @t557 () (tptp.hBOOL (tptp.hAPP @t553 @t181))) % 54.75/54.93 (define @t558 () (tptp.hBOOL (tptp.hAPP @t480 @t15))) % 54.75/54.93 (define @t559 () (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t390) @t15)) @t558)) % 54.75/54.93 (define @t560 () (tptp.hAPP @t479 @t15)) % 54.75/54.93 (define @t561 () (tptp.hBOOL (tptp.hAPP @t560 @t54))) % 54.75/54.93 (define @t562 () (tptp.class_Rings_Olinordered__idom @t14)) % 54.75/54.93 (define @t563 () (@var "B_m" $$unsorted)) % 54.75/54.93 (define @t564 () (tptp.hAPP tptp.c_Nat_OSuc @t563)) % 54.75/54.93 (define @t565 () (= @t102 @t564)) % 54.75/54.93 (define @t566 () (@list @t563)) % 54.75/54.93 (define @t567 () (@var "B_j" $$unsorted)) % 54.75/54.93 (define @t568 () (tptp.hAPP @t448 @t567)) % 54.75/54.93 (define @t569 () (@list @t567)) % 54.75/54.93 (define @t570 () (tptp.hBOOL (tptp.hAPP @t449 @t347))) % 54.75/54.93 (define @t571 () (tptp.hAPP @t526 @t306)) % 54.75/54.93 (define @t572 () (@list @t306 @t510)) % 54.75/54.93 (define @t573 () (@var "B_k" $$unsorted)) % 54.75/54.93 (define @t574 () (tptp.hAPP @t352 @t573)) % 54.75/54.93 (define @t575 () (@list @t573)) % 54.75/54.93 (define @t576 () (@list @t274 @t181 @t14 @t289)) % 54.75/54.93 (define @t577 () (tptp.hAPP @t49 @t54)) % 54.75/54.93 (define @t578 () (tptp.hAPP @t577 @t52)) % 54.75/54.93 (define @t579 () (@var "T_d" $$unsorted)) % 54.75/54.93 (define @t580 () (tptp.c_Nitpick_Opair__box_OPairBox @t420 @t579 @t54 @t52)) % 54.75/54.93 (define @t581 () (@list @t52 @t54 @t49 @t14 @t579 @t420)) % 54.75/54.93 (define @t582 () (tptp.hBOOL (tptp.hAPP @t547 @t340))) % 54.75/54.93 (define @t583 () (tptp.hBOOL (tptp.hAPP @t547 @t26))) % 54.75/54.93 (define @t584 () (=> @t583 @t582)) % 54.75/54.93 (define @t585 () (tptp.class_Rings_Olinordered__semidom @t289)) % 54.75/54.93 (define @t586 () (@var "V_a_1" $$unsorted)) % 54.75/54.93 (define @t587 () (@var "T_b_1" $$unsorted)) % 54.75/54.93 (define @t588 () (@var "T_a_1" $$unsorted)) % 54.75/54.93 (define @t589 () (@var "V_b_H_1" $$unsorted)) % 54.75/54.93 (define @t590 () (tptp.c_Sum__Type_OInl @t289 @t14)) % 54.75/54.93 (define @t591 () (tptp.hAPP @t590 @t181)) % 54.75/54.93 (define @t592 () (tptp.c_Sum__Type_OInr @t14 @t289)) % 54.75/54.93 (define @t593 () (tptp.hAPP @t592 @t274)) % 54.75/54.93 (define @t594 () (@var "V_b_H" $$unsorted)) % 54.75/54.93 (define @t595 () (tptp.c_Nat_Osize__class_Osize (tptp.tc_sum @t289 @t14))) % 54.75/54.93 (define @t596 () (tptp.hBOOL (tptp.hAPP @t470 @t369))) % 54.75/54.93 (define @t597 () (@list @t367 @t365 @t288)) % 54.75/54.93 (define @t598 () (tptp.hAPP @t487 @t367)) % 54.75/54.93 (define @t599 () (tptp.hBOOL (tptp.hAPP @t598 @t288))) % 54.75/54.93 (define @t600 () (tptp.hAPP @t487 @t288)) % 54.75/54.93 (define @t601 () (tptp.hBOOL (tptp.hAPP @t600 @t367))) % 54.75/54.93 (define @t602 () (not @t601)) % 54.75/54.93 (define @t603 () (=> @t472 (=> @t602 @t599))) % 54.75/54.93 (define @t604 () (tptp.class_Rings_Olinordered__idom @t289)) % 54.75/54.93 (define @t605 () (@list @t367 @t288 @t289)) % 54.75/54.93 (define @t606 () (tptp.hAPP @t592 @t288)) % 54.75/54.93 (define @t607 () (tptp.hAPP @t590 @t288)) % 54.75/54.93 (define @t608 () (@list @t288 @t14 @t289)) % 54.75/54.93 (define @t609 () (tptp.c_Sum__Type_OInl @t420 @t579)) % 54.75/54.93 (define @t610 () (tptp.hAPP @t609 @t54)) % 54.75/54.93 (define @t611 () (@list @t54 @t48 @t49 @t579 @t14 @t420)) % 54.75/54.93 (define @t612 () (tptp.hAPP @t48 @t52)) % 54.75/54.93 (define @t613 () (tptp.hAPP (tptp.c_Sum__Type_OInr @t579 @t420) @t52)) % 54.75/54.93 (define @t614 () (@list @t52 @t48 @t49 @t579 @t14 @t420)) % 54.75/54.93 (define @t615 () (tptp.hAPP @t2 @t16)) % 54.75/54.93 (define @t616 () (@list @t16 @t2 @t579 @t14 @t420)) % 54.75/54.93 (define @t617 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14)) % 54.75/54.93 (define @t618 () (tptp.hAPP @t617 @t102)) % 54.75/54.93 (define @t619 () (tptp.class_Rings_Olinordered__semidom @t14)) % 54.75/54.93 (define @t620 () (@list @t102 @t14)) % 54.75/54.93 (define @t621 () (tptp.hAPP @t617 @t347)) % 54.75/54.93 (define @t622 () (tptp.class_Nat_Osemiring__char__0 @t14)) % 54.75/54.93 (define @t623 () (@list @t102 @t347 @t14)) % 54.75/54.93 (define @t624 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 54.75/54.93 (define @t625 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 54.75/54.93 (define @t626 () (tptp.hAPP @t625 @t102)) % 54.75/54.93 (define @t627 () (tptp.hAPP @t625 @t19)) % 54.75/54.93 (define @t628 () (tptp.hAPP @t625 @t277)) % 54.75/54.93 (define @t629 () (@var "V_w_2" $$unsorted)) % 54.75/54.93 (define @t630 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 54.75/54.93 (define @t631 () (tptp.hAPP @t630 @t629)) % 54.75/54.93 (define @t632 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) % 54.75/54.93 (define @t633 () (tptp.hAPP @t632 @t629)) % 54.75/54.93 (define @t634 () (tptp.hBOOL (tptp.hAPP @t633 @t57))) % 54.75/54.93 (define @t635 () (@list @t57 @t629)) % 54.75/54.93 (define @t636 () (tptp.hAPP @t625 @t347)) % 54.75/54.93 (define @t637 () (tptp.hAPP @t632 @t636)) % 54.75/54.93 (define @t638 () (tptp.hAPP @t625 @t363)) % 54.75/54.93 (define @t639 () (tptp.hAPP @t625 @t76)) % 54.75/54.93 (define @t640 () (tptp.hAPP @t625 @t306)) % 54.75/54.93 (define @t641 () (tptp.hAPP @t630 @t640)) % 54.75/54.93 (define @t642 () (tptp.hAPP @t632 @t624)) % 54.75/54.93 (define @t643 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t289)) % 54.75/54.93 (define @t644 () (tptp.hAPP @t643 @t306)) % 54.75/54.93 (define @t645 () (tptp.hAPP @t487 @t644)) % 54.75/54.93 (define @t646 () (@list @t306 @t289)) % 54.75/54.93 (define @t647 () (tptp.class_Rings_Osemiring__1 @t289)) % 54.75/54.93 (define @t648 () (tptp.hAPP @t643 @t76)) % 54.75/54.93 (define @t649 () (tptp.hBOOL (tptp.hAPP @t645 @t648))) % 54.75/54.93 (define @t650 () (@list @t76 @t306 @t289)) % 54.75/54.93 (define @t651 () (@var "V_n_H_2" $$unsorted)) % 54.75/54.93 (define @t652 () (tptp.hAPP @t2 @t102)) % 54.75/54.93 (define @t653 () (tptp.hAPP @t479 @t652)) % 54.75/54.93 (define @t654 () (forall @t177 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 (tptp.hAPP @t2 @t176)) (tptp.hAPP @t2 @t277))))) % 54.75/54.93 (define @t655 () (tptp.class_Orderings_Oorder @t14)) % 54.75/54.93 (define @t656 () (tptp.hAPP @t2 @t347)) % 54.75/54.93 (define @t657 () (tptp.hAPP @t625 @t367)) % 54.75/54.93 (define @t658 () (tptp.hAPP @t625 @t288)) % 54.75/54.93 (define @t659 () (@var "V_y_2" $$unsorted)) % 54.75/54.93 (define @t660 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t16) @t659))) % 54.75/54.93 (define @t661 () (tptp.hAPP @t625 @t659)) % 54.75/54.93 (define @t662 () (tptp.hAPP @t625 @t16)) % 54.75/54.93 (define @t663 () (@list @t659 @t16)) % 54.75/54.93 (define @t664 () (tptp.class_Orderings_Olinorder @t289)) % 54.75/54.93 (define @t665 () (tptp.class_Orderings_Opreorder @t289)) % 54.75/54.93 (define @t666 () (tptp.hAPP @t487 @t365)) % 54.75/54.93 (define @t667 () (tptp.hBOOL (tptp.hAPP @t666 @t288))) % 54.75/54.93 (define @t668 () (=> (tptp.hBOOL (tptp.hAPP @t666 @t367)) @t667)) % 54.75/54.93 (define @t669 () (tptp.class_Orderings_Oorder @t289)) % 54.75/54.93 (define @t670 () (@list @t365 @t288 @t367 @t289)) % 54.75/54.93 (define @t671 () (tptp.hBOOL (tptp.hAPP @t600 @t365))) % 54.75/54.93 (define @t672 () (=> (tptp.hBOOL (tptp.hAPP @t598 @t365)) @t671)) % 54.75/54.93 (define @t673 () (@list @t365 @t367 @t288 @t289)) % 54.75/54.93 (define @t674 () (tptp.hBOOL (tptp.hAPP @t496 @t181))) % 54.75/54.93 (define @t675 () (tptp.hBOOL (tptp.hAPP @t547 @t181))) % 54.75/54.93 (define @t676 () (tptp.hAPP @t625 @t359)) % 54.75/54.93 (define @t677 () (@list @t359)) % 54.75/54.93 (define @t678 () (= @t16 @t659)) % 54.75/54.93 (define @t679 () (@var "V_w" $$unsorted)) % 54.75/54.93 (define @t680 () (tptp.hAPP @t630 @t679)) % 54.75/54.93 (define @t681 () (tptp.hAPP @t680 @t365)) % 54.75/54.93 (define @t682 () (tptp.hAPP @t630 @t365)) % 54.75/54.93 (define @t683 () (tptp.hAPP @t682 @t679)) % 54.75/54.93 (define @t684 () (@list @t679 @t365)) % 54.75/54.93 (define @t685 () (tptp.hAPP @t630 @t288)) % 54.75/54.93 (define @t686 () (tptp.hAPP @t630 @t367)) % 54.75/54.93 (define @t687 () (@var "V_z3" $$unsorted)) % 54.75/54.93 (define @t688 () (@var "V_z2" $$unsorted)) % 54.75/54.93 (define @t689 () (@var "V_z1" $$unsorted)) % 54.75/54.93 (define @t690 () (tptp.hAPP @t630 @t689)) % 54.75/54.93 (define @t691 () (tptp.hAPP @t690 @t688)) % 54.75/54.93 (define @t692 () (@list @t687 @t688 @t689)) % 54.75/54.93 (define @t693 () (@list @t365)) % 54.75/54.93 (define @t694 () (tptp.hAPP @t632 @t367)) % 54.75/54.93 (define @t695 () (tptp.hAPP @t632 @t288)) % 54.75/54.93 (define @t696 () (tptp.hAPP @t630 @t510)) % 54.75/54.93 (define @t697 () (tptp.hAPP @t632 @t510)) % 54.75/54.93 (define @t698 () (tptp.hBOOL (tptp.hAPP @t697 @t512))) % 54.75/54.93 (define @t699 () (tptp.hAPP @t479 @t659)) % 54.75/54.93 (define @t700 () (tptp.hBOOL (tptp.hAPP @t699 @t16))) % 54.75/54.93 (define @t701 () (tptp.hAPP @t479 @t16)) % 54.75/54.93 (define @t702 () (tptp.hBOOL (tptp.hAPP @t701 @t659))) % 54.75/54.93 (define @t703 () (not @t678)) % 54.75/54.93 (define @t704 () (tptp.class_Orderings_Olinorder @t14)) % 54.75/54.93 (define @t705 () (@list @t659 @t16 @t14)) % 54.75/54.93 (define @t706 () (not @t702)) % 54.75/54.93 (define @t707 () (= @t706 @t678)) % 54.75/54.93 (define @t708 () (@list @t16 @t659 @t14)) % 54.75/54.93 (define @t709 () (not (= @t367 @t288))) % 54.75/54.93 (define @t710 () (@list @t181 @t274 @t289)) % 54.75/54.93 (define @t711 () (tptp.hBOOL (tptp.hAPP @t490 @t26))) % 54.75/54.93 (define @t712 () (= @t181 @t274)) % 54.75/54.93 (define @t713 () (tptp.class_Orderings_Oord @t289)) % 54.75/54.93 (define @t714 () (tptp.hAPP @t625 @t176)) % 54.75/54.93 (define @t715 () (tptp.hBOOL (tptp.hAPP @t449 @t176))) % 54.75/54.93 (define @t716 () (tptp.hBOOL (tptp.hAPP @t642 @t359))) % 54.75/54.93 (define @t717 () (tptp.hBOOL (tptp.hAPP @t642 @t57))) % 54.75/54.93 (define @t718 () (tptp.c_Int_Oring__1__class_Oof__int @t14)) % 54.75/54.93 (define @t719 () (tptp.hAPP @t718 @t57)) % 54.75/54.93 (define @t720 () (@list @t57 @t14)) % 54.75/54.93 (define @t721 () (tptp.hAPP @t632 @t57)) % 54.75/54.93 (define @t722 () (tptp.hBOOL (tptp.hAPP @t721 @t624))) % 54.75/54.93 (define @t723 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 54.75/54.93 (define @t724 () (tptp.hAPP @t723 @t676)) % 54.75/54.93 (define @t725 () (tptp.hBOOL (tptp.hAPP @t449 @t359))) % 54.75/54.93 (define @t726 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 54.75/54.93 (define @t727 () (tptp.hAPP @t726 (tptp.hAPP @t625 @t254))) % 54.75/54.93 (define @t728 () (tptp.hAPP @t632 @t727)) % 54.75/54.93 (define @t729 () (tptp.hAPP @t632 @t434)) % 54.75/54.93 (define @t730 () (tptp.hAPP tptp.c_Int_Onat @t434)) % 54.75/54.93 (define @t731 () (@list @t434 @t87)) % 54.75/54.93 (define @t732 () (tptp.hAPP tptp.c_Int_Onat @t57)) % 54.75/54.93 (define @t733 () (@list @t57)) % 54.75/54.93 (define @t734 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 54.75/54.93 (define @t735 () (tptp.hAPP @t630 @t734)) % 54.75/54.93 (define @t736 () (tptp.c_Groups_Oone__class_Oone @t289)) % 54.75/54.93 (define @t737 () (tptp.hAPP @t319 @t736)) % 54.75/54.93 (define @t738 () (tptp.hAPP @t737 @t736)) % 54.75/54.93 (define @t739 () (tptp.c_Groups_Otimes__class_Otimes @t289)) % 54.75/54.93 (define @t740 () (tptp.hAPP @t739 @t738)) % 54.75/54.93 (define @t741 () (tptp.hAPP @t319 @t306)) % 54.75/54.93 (define @t742 () (tptp.hAPP @t322 @t736)) % 54.75/54.93 (define @t743 () (tptp.hAPP (tptp.hAPP @t739 @t742) @t306)) % 54.75/54.93 (define @t744 () (tptp.hAPP @t739 @t181)) % 54.75/54.93 (define @t745 () (tptp.hAPP @t744 @t306)) % 54.75/54.93 (define @t746 () (tptp.hAPP @t319 @t745)) % 54.75/54.93 (define @t747 () (tptp.hAPP @t487 @t736)) % 54.75/54.93 (define @t748 () (tptp.c_Groups_Ouminus__class_Ouminus @t289)) % 54.75/54.93 (define @t749 () (tptp.hAPP @t748 @t274)) % 54.75/54.93 (define @t750 () (tptp.hAPP @t744 @t749)) % 54.75/54.93 (define @t751 () (tptp.hAPP @t744 @t274)) % 54.75/54.93 (define @t752 () (tptp.hAPP @t748 @t751)) % 54.75/54.93 (define @t753 () (tptp.class_Rings_Oring @t289)) % 54.75/54.93 (define @t754 () (tptp.hAPP @t748 @t181)) % 54.75/54.93 (define @t755 () (tptp.hAPP @t739 @t754)) % 54.75/54.93 (define @t756 () (tptp.hAPP @t755 @t274)) % 54.75/54.93 (define @t757 () (tptp.c_Groups_Oone__class_Oone @t14)) % 54.75/54.93 (define @t758 () (tptp.c_Groups_Ouminus__class_Ouminus @t14)) % 54.75/54.93 (define @t759 () (tptp.hAPP @t758 @t757)) % 54.75/54.93 (define @t760 () (= @t16 @t757)) % 54.75/54.93 (define @t761 () (tptp.c_Groups_Otimes__class_Otimes @t14)) % 54.75/54.93 (define @t762 () (tptp.hAPP @t761 @t16)) % 54.75/54.93 (define @t763 () (tptp.hAPP @t762 @t16)) % 54.75/54.93 (define @t764 () (tptp.class_Rings_Oring__1__no__zero__divisors @t14)) % 54.75/54.93 (define @t765 () (tptp.hAPP @t758 @t52)) % 54.75/54.93 (define @t766 () (= @t54 @t765)) % 54.75/54.93 (define @t767 () (= @t54 @t52)) % 54.75/54.93 (define @t768 () (tptp.hAPP @t761 @t52)) % 54.75/54.93 (define @t769 () (tptp.hAPP @t761 @t54)) % 54.75/54.93 (define @t770 () (tptp.class_Rings_Oidom @t14)) % 54.75/54.93 (define @t771 () (@list @t52 @t54 @t14)) % 54.75/54.93 (define @t772 () (tptp.c_Int_Oring__1__class_Oof__int @t289)) % 54.75/54.93 (define @t773 () (tptp.class_Rings_Oring__1 @t289)) % 54.75/54.93 (define @t774 () (tptp.hAPP @t748 @t736)) % 54.75/54.93 (define @t775 () (tptp.hAPP @t748 @t288)) % 54.75/54.93 (define @t776 () (tptp.class_Rings_Ocomm__ring__1 @t289)) % 54.75/54.93 (define @t777 () (tptp.hAPP @t726 @t365)) % 54.75/54.93 (define @t778 () (tptp.hAPP @t772 @t365)) % 54.75/54.93 (define @t779 () (@list @t365 @t289)) % 54.75/54.93 (define @t780 () (tptp.hAPP @t772 @t679)) % 54.75/54.93 (define @t781 () (tptp.hAPP @t723 @t679)) % 54.75/54.93 (define @t782 () (tptp.hAPP @t781 @t365)) % 54.75/54.93 (define @t783 () (@list @t365 @t679 @t289)) % 54.75/54.93 (define @t784 () (= (tptp.hAPP (tptp.hAPP @t739 @t736) @t181) @t181)) % 54.75/54.93 (define @t785 () (= (tptp.hAPP @t744 @t736) @t181)) % 54.75/54.93 (define @t786 () (tptp.hAPP @t723 @t365)) % 54.75/54.93 (define @t787 () (tptp.hAPP @t739 @t274)) % 54.75/54.93 (define @t788 () (tptp.hAPP @t787 @t181)) % 54.75/54.93 (define @t789 () (tptp.hAPP @t786 @t679)) % 54.75/54.93 (define @t790 () (@var "V_ry" $$unsorted)) % 54.75/54.93 (define @t791 () (@var "V_lx" $$unsorted)) % 54.75/54.93 (define @t792 () (tptp.hAPP @t739 @t791)) % 54.75/54.93 (define @t793 () (@var "V_rx" $$unsorted)) % 54.75/54.93 (define @t794 () (tptp.hAPP @t739 @t793)) % 54.75/54.93 (define @t795 () (tptp.hAPP @t794 @t790)) % 54.75/54.93 (define @t796 () (tptp.hAPP @t792 @t795)) % 54.75/54.93 (define @t797 () (@list @t790 @t793 @t791 @t289)) % 54.75/54.93 (define @t798 () (tptp.hAPP @t739 (tptp.hAPP @t792 @t793))) % 54.75/54.93 (define @t799 () (= @t629 @t57)) % 54.75/54.93 (define @t800 () (tptp.hAPP @t718 @t629)) % 54.75/54.93 (define @t801 () (tptp.class_Int_Oring__char__0 @t14)) % 54.75/54.93 (define @t802 () (@list @t57 @t629 @t14)) % 54.75/54.93 (define @t803 () (@var "V_ly" $$unsorted)) % 54.75/54.93 (define @t804 () (tptp.hAPP @t739 @t803)) % 54.75/54.93 (define @t805 () (tptp.hAPP @t739 (tptp.hAPP @t792 @t803))) % 54.75/54.93 (define @t806 () (tptp.hAPP @t805 @t793)) % 54.75/54.93 (define @t807 () (@list @t793 @t803 @t791 @t289)) % 54.75/54.93 (define @t808 () (tptp.hAPP @t723 @t688)) % 54.75/54.93 (define @t809 () (tptp.hAPP @t723 @t689)) % 54.75/54.93 (define @t810 () (tptp.hAPP @t805 @t795)) % 54.75/54.93 (define @t811 () (@list @t790 @t793 @t803 @t791 @t289)) % 54.75/54.93 (define @t812 () (tptp.class_Groups_Ogroup__add @t289)) % 54.75/54.93 (define @t813 () (tptp.class_Groups_Omonoid__mult @t289)) % 54.75/54.93 (define @t814 () (tptp.class_Groups_Ocomm__monoid__mult @t289)) % 54.75/54.93 (define @t815 () (tptp.hAPP @t758 @t54)) % 54.75/54.93 (define @t816 () (tptp.class_Groups_Ogroup__add @t14)) % 54.75/54.93 (define @t817 () (tptp.hAPP @t787 @t26)) % 54.75/54.93 (define @t818 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t819 () (tptp.hAPP @t818 @t306)) % 54.75/54.93 (define @t820 () (tptp.hAPP @t819 @t76)) % 54.75/54.93 (define @t821 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 54.75/54.93 (define @t822 () (tptp.hAPP @t772 @t359)) % 54.75/54.93 (define @t823 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t359) @t624))) % 54.75/54.93 (define @t824 () (tptp.hAPP @t726 @t359)) % 54.75/54.93 (define @t825 () (@list @t359 @t289)) % 54.75/54.93 (define @t826 () (tptp.hAPP @t726 @t639)) % 54.75/54.93 (define @t827 () (tptp.hAPP tptp.c_Int_Onat @t734)) % 54.75/54.93 (define @t828 () (and (= @t347 @t734) (= @t102 @t734))) % 54.75/54.93 (define @t829 () (tptp.hAPP (tptp.hAPP @t723 @t347) @t102)) % 54.75/54.93 (define @t830 () (= @t829 @t734)) % 54.75/54.93 (define @t831 () (tptp.hAPP @t479 @t52)) % 54.75/54.93 (define @t832 () (tptp.class_Groups_Oordered__ab__group__add @t14)) % 54.75/54.93 (define @t833 () (tptp.hAPP @t479 @t765)) % 54.75/54.93 (define @t834 () (tptp.hAPP @t479 @t815)) % 54.75/54.93 (define @t835 () (tptp.hBOOL (tptp.hAPP @t834 @t52))) % 54.75/54.93 (define @t836 () (tptp.hAPP @t319 @t754)) % 54.75/54.93 (define @t837 () (tptp.hAPP @t748 @t323)) % 54.75/54.93 (define @t838 () (tptp.class_Groups_Oab__group__add @t289)) % 54.75/54.93 (define @t839 () (= (tptp.hAPP (tptp.hAPP @t739 @t384) @t181) @t384)) % 54.75/54.93 (define @t840 () (= (tptp.hAPP @t744 @t384) @t384)) % 54.75/54.93 (define @t841 () (tptp.class_Rings_Omult__zero @t289)) % 54.75/54.93 (define @t842 () (= @t52 @t15)) % 54.75/54.93 (define @t843 () (tptp.hAPP @t769 @t52)) % 54.75/54.93 (define @t844 () (= @t751 @t384)) % 54.75/54.93 (define @t845 () (= @t274 @t384)) % 54.75/54.93 (define @t846 () (not @t845)) % 54.75/54.93 (define @t847 () (= @t181 @t384)) % 54.75/54.93 (define @t848 () (not @t847)) % 54.75/54.93 (define @t849 () (tptp.class_Rings_Ono__zero__divisors @t289)) % 54.75/54.93 (define @t850 () (tptp.class_Rings_Ozero__neq__one @t289)) % 54.75/54.93 (define @t851 () (= @t659 @t57)) % 54.75/54.93 (define @t852 () (tptp.hAPP @t761 @t629)) % 54.75/54.93 (define @t853 () (tptp.hAPP @t762 @t57)) % 54.75/54.93 (define @t854 () (tptp.hAPP @t852 @t659)) % 54.75/54.93 (define @t855 () (tptp.hAPP @t739 @t323)) % 54.75/54.93 (define @t856 () (tptp.hAPP @t744 @t26)) % 54.75/54.93 (define @t857 () (= (tptp.hAPP @t855 @t26) (tptp.hAPP (tptp.hAPP @t319 @t856) @t817))) % 54.75/54.93 (define @t858 () (tptp.hAPP @t768 @t51)) % 54.75/54.93 (define @t859 () (@var "V_d_2" $$unsorted)) % 54.75/54.93 (define @t860 () (tptp.hAPP @t769 @t859)) % 54.75/54.93 (define @t861 () (tptp.hAPP @t769 @t51)) % 54.75/54.93 (define @t862 () (= @t51 @t859)) % 54.75/54.93 (define @t863 () (not @t767)) % 54.75/54.93 (define @t864 () (@list @t859 @t51 @t52 @t54 @t14)) % 54.75/54.93 (define @t865 () (tptp.hAPP @t739 @t288)) % 54.75/54.93 (define @t866 () (tptp.hAPP @t865 @t365)) % 54.75/54.93 (define @t867 () (tptp.hAPP @t865 @t367)) % 54.75/54.93 (define @t868 () (tptp.hAPP @t319 @t367)) % 54.75/54.93 (define @t869 () (tptp.hAPP @t868 @t365)) % 54.75/54.93 (define @t870 () (@var "V_e" $$unsorted)) % 54.75/54.93 (define @t871 () (tptp.hAPP @t726 @t679)) % 54.75/54.93 (define @t872 () (tptp.hAPP @t630 @t777)) % 54.75/54.93 (define @t873 () (tptp.hAPP @t808 @t679)) % 54.75/54.93 (define @t874 () (tptp.hAPP @t809 @t679)) % 54.75/54.93 (define @t875 () (@list @t679 @t688 @t689)) % 54.75/54.93 (define @t876 () (tptp.hAPP @t781 @t688)) % 54.75/54.93 (define @t877 () (tptp.hAPP @t781 @t689)) % 54.75/54.93 (define @t878 () (@list @t688 @t689 @t679)) % 54.75/54.93 (define @t879 () (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint)) % 54.75/54.93 (define @t880 () (tptp.hAPP @t632 @t734)) % 54.75/54.93 (define @t881 () (tptp.hAPP @t448 @t315)) % 54.75/54.93 (define @t882 () (= (tptp.hAPP @t836 @t181) @t384)) % 54.75/54.93 (define @t883 () (tptp.hAPP tptp.c_Int_Onat @t624)) % 54.75/54.93 (define @t884 () (tptp.hAPP @t744 @t181)) % 54.75/54.93 (define @t885 () (tptp.class_Rings_Olinordered__ring @t289)) % 54.75/54.93 (define @t886 () (tptp.hBOOL (tptp.hAPP @t831 @t54))) % 54.75/54.93 (define @t887 () (tptp.hAPP @t479 @t51)) % 54.75/54.93 (define @t888 () (tptp.hBOOL (tptp.hAPP @t887 @t15))) % 54.75/54.93 (define @t889 () (tptp.hBOOL (tptp.hAPP @t560 @t51))) % 54.75/54.93 (define @t890 () (or (and @t889 @t481) (and @t888 @t886))) % 54.75/54.93 (define @t891 () (tptp.hAPP @t479 @t861)) % 54.75/54.93 (define @t892 () (tptp.class_Rings_Olinordered__ring__strict @t14)) % 54.75/54.93 (define @t893 () (tptp.hAPP @t761 @t51)) % 54.75/54.93 (define @t894 () (tptp.hAPP @t893 @t52)) % 54.75/54.93 (define @t895 () (tptp.hAPP @t893 @t54)) % 54.75/54.93 (define @t896 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t895) @t894))) % 54.75/54.93 (define @t897 () (tptp.hBOOL (tptp.hAPP @t553 @t751))) % 54.75/54.93 (define @t898 () (tptp.class_Rings_Olinordered__semiring__strict @t289)) % 54.75/54.93 (define @t899 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t751) @t384))) % 54.75/54.93 (define @t900 () (=> @t557 @t555)) % 54.75/54.93 (define @t901 () (tptp.class_Rings_Olinordered__ring__strict @t289)) % 54.75/54.93 (define @t902 () (tptp.hAPP @t487 @t856)) % 54.75/54.93 (define @t903 () (tptp.hBOOL (tptp.hAPP @t902 @t817))) % 54.75/54.93 (define @t904 () (tptp.hBOOL (tptp.hAPP @t553 @t26))) % 54.75/54.93 (define @t905 () (tptp.hAPP @t739 @t26)) % 54.75/54.93 (define @t906 () (tptp.hAPP @t905 @t274)) % 54.75/54.93 (define @t907 () (tptp.hAPP @t905 @t181)) % 54.75/54.93 (define @t908 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t907) @t906))) % 54.75/54.93 (define @t909 () (=> @t491 (=> @t904 @t908))) % 54.75/54.93 (define @t910 () (tptp.hBOOL (tptp.hAPP @t496 @t384))) % 54.75/54.93 (define @t911 () (= @t659 @t15)) % 54.75/54.93 (define @t912 () (and @t17 @t911)) % 54.75/54.93 (define @t913 () (tptp.hAPP (tptp.hAPP @t329 @t763) (tptp.hAPP (tptp.hAPP @t761 @t659) @t659))) % 54.75/54.93 (define @t914 () (@var "V_r" $$unsorted)) % 54.75/54.93 (define @t915 () (tptp.hAPP @t739 @t914)) % 54.75/54.93 (define @t916 () (and @t376 @t377)) % 54.75/54.93 (define @t917 () (tptp.hAPP @t723 @t359)) % 54.75/54.93 (define @t918 () (tptp.hAPP @t735 @t365)) % 54.75/54.93 (define @t919 () (tptp.hBOOL (tptp.hAPP @t633 (tptp.hAPP (tptp.hAPP @t630 @t57) @t734)))) % 54.75/54.93 (define @t920 () (= @t57 @t624)) % 54.75/54.93 (define @t921 () (@list @t76 @t289)) % 54.75/54.93 (define @t922 () (tptp.hAPP tptp.c_Int_Onat @t629)) % 54.75/54.93 (define @t923 () (tptp.hAPP @t448 @t922)) % 54.75/54.93 (define @t924 () (tptp.hBOOL (tptp.hAPP @t923 @t732))) % 54.75/54.93 (define @t925 () (= @t924 @t634)) % 54.75/54.93 (define @t926 () (@list @t629 @t57)) % 54.75/54.93 (define @t927 () (@list @t57 @t347)) % 54.75/54.93 (define @t928 () (not @t911)) % 54.75/54.93 (define @t929 () (or (not @t17) @t928)) % 54.75/54.93 (define @t930 () (tptp.hAPP @t739 @t367)) % 54.75/54.93 (define @t931 () (tptp.hAPP @t865 @t288)) % 54.75/54.93 (define @t932 () (tptp.hAPP (tptp.hAPP @t319 @t931) (tptp.hAPP @t930 @t367))) % 54.75/54.93 (define @t933 () (@list @t76 @t510)) % 54.75/54.93 (define @t934 () (@list @t288)) % 54.75/54.93 (define @t935 () (tptp.c_Groups_Osgn__class_Osgn @t289 @t288)) % 54.75/54.93 (define @t936 () (tptp.hBOOL (tptp.hAPP @t553 @t288))) % 54.75/54.93 (define @t937 () (= @t288 @t384)) % 54.75/54.93 (define @t938 () (tptp.class_Groups_Osgn__if @t289)) % 54.75/54.93 (define @t939 () (tptp.c_Groups_Osgn__class_Osgn @t289 @t181)) % 54.75/54.93 (define @t940 () (tptp.c_Groups_Osgn__class_Osgn @t14 @t54)) % 54.75/54.93 (define @t941 () (tptp.hAPP @t726 @t734)) % 54.75/54.93 (define @t942 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t510)) % 54.75/54.93 (define @t943 () (tptp.hBOOL (tptp.hAPP @t642 @t510))) % 54.75/54.93 (define @t944 () (= @t510 @t624)) % 54.75/54.93 (define @t945 () (not @t944)) % 54.75/54.93 (define @t946 () (@list @t510)) % 54.75/54.93 (define @t947 () (tptp.hAPP tptp.c_Int_Onat @t365)) % 54.75/54.93 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) % 54.75/54.93 (define @t949 () (tptp.hAPP @t948 @t624)) % 54.75/54.94 (define @t950 () (tptp.hBOOL (tptp.hAPP @t949 @t365))) % 54.75/54.94 (define @t951 () (tptp.hBOOL (tptp.hAPP @t949 @t629))) % 54.75/54.94 (define @t952 () (@list @t347 @t629)) % 54.75/54.94 (define @t953 () (@var "V_v" $$unsorted)) % 54.75/54.94 (define @t954 () (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP (tptp.hAPP @t739 @t159) @t288)) (tptp.hAPP (tptp.hAPP @t739 @t953) @t367))) % 54.75/54.94 (define @t955 () (= (tptp.hAPP (tptp.hAPP @t319 @t159) @t953) @t736)) % 54.75/54.94 (define @t956 () (tptp.c_Orderings_Oord__class_Oless__eq @t289)) % 54.75/54.94 (define @t957 () (tptp.hAPP @t956 @t384)) % 54.75/54.94 (define @t958 () (tptp.hBOOL (tptp.hAPP @t957 @t953))) % 54.75/54.94 (define @t959 () (tptp.hBOOL (tptp.hAPP @t957 @t159))) % 54.75/54.94 (define @t960 () (tptp.hBOOL (tptp.hAPP @t600 @t181))) % 54.75/54.94 (define @t961 () (@list @t953 @t159 @t367 @t181 @t288 @t289)) % 54.75/54.94 (define @t962 () (tptp.hAPP @t956 @t288)) % 54.75/54.94 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t964 () (tptp.hAPP @t963 @t19)) % 54.75/54.94 (define @t965 () (tptp.hAPP @t948 @t826)) % 54.75/54.94 (define @t966 () (= @t306 @t19)) % 54.75/54.94 (define @t967 () (tptp.hAPP @t963 @t347)) % 54.75/54.94 (define @t968 () (tptp.hBOOL (tptp.hAPP @t967 @t102))) % 54.75/54.94 (define @t969 () (tptp.hAPP tptp.c_Nat_OSuc @t349)) % 54.75/54.94 (define @t970 () (tptp.hAPP @t818 @t969)) % 54.75/54.94 (define @t971 () (tptp.hAPP @t970 @t102)) % 54.75/54.94 (define @t972 () (tptp.hAPP @t970 @t347)) % 54.75/54.94 (define @t973 () (tptp.hAPP @t819 @t306)) % 54.75/54.94 (define @t974 () (tptp.hAPP @t963 @t306)) % 54.75/54.94 (define @t975 () (= @t102 @t821)) % 54.75/54.94 (define @t976 () (= @t347 @t821)) % 54.75/54.94 (define @t977 () (and @t976 @t975)) % 54.75/54.94 (define @t978 () (tptp.hAPP @t818 @t347)) % 54.75/54.94 (define @t979 () (tptp.hAPP @t978 @t102)) % 54.75/54.94 (define @t980 () (tptp.hAPP @t818 @t76)) % 54.75/54.94 (define @t981 () (tptp.hAPP @t980 @t306)) % 54.75/54.94 (define @t982 () (tptp.hAPP @t980 @t359)) % 54.75/54.94 (define @t983 () (tptp.hAPP @t818 @t512)) % 54.75/54.94 (define @t984 () (tptp.hAPP @t983 @t359)) % 54.75/54.94 (define @t985 () (tptp.hAPP @t818 @t510)) % 54.75/54.94 (define @t986 () (tptp.hAPP @t985 @t359)) % 54.75/54.94 (define @t987 () (tptp.hAPP @t963 @t986)) % 54.75/54.94 (define @t988 () (tptp.hAPP @t963 @t510)) % 54.75/54.94 (define @t989 () (tptp.hBOOL (tptp.hAPP @t988 @t512))) % 54.75/54.94 (define @t990 () (tptp.hAPP @t818 @t359)) % 54.75/54.94 (define @t991 () (tptp.hAPP @t990 @t512)) % 54.75/54.94 (define @t992 () (tptp.hAPP @t990 @t510)) % 54.75/54.94 (define @t993 () (tptp.hAPP @t963 @t359)) % 54.75/54.94 (define @t994 () (tptp.hBOOL (tptp.hAPP @t993 @t531))) % 54.75/54.94 (define @t995 () (tptp.hAPP @t948 @t679)) % 54.75/54.94 (define @t996 () (tptp.hBOOL (tptp.hAPP @t995 @t365))) % 54.75/54.94 (define @t997 () (tptp.hAPP @t948 @t365)) % 54.75/54.94 (define @t998 () (tptp.hBOOL (tptp.hAPP @t997 @t679))) % 54.75/54.94 (define @t999 () (tptp.hAPP @t948 @t510)) % 54.75/54.94 (define @t1000 () (tptp.hBOOL (tptp.hAPP @t999 @t512))) % 54.75/54.94 (define @t1001 () (@list @t679)) % 54.75/54.94 (define @t1002 () (tptp.hAPP @t956 @t367)) % 54.75/54.94 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t1002 @t288))) % 54.75/54.94 (define @t1004 () (tptp.hBOOL (tptp.hAPP @t962 @t367))) % 54.75/54.94 (define @t1005 () (tptp.hAPP @t1 @t16)) % 54.75/54.94 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless__eq @t420)) % 54.75/54.94 (define @t1007 () (tptp.tc_fun @t14 @t420)) % 54.75/54.94 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless__eq @t1007)) % 54.75/54.94 (define @t1009 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1008 @t2) @t1))) % 54.75/54.94 (define @t1010 () (tptp.class_Orderings_Oord @t420)) % 54.75/54.94 (define @t1011 () (tptp.hAPP @t956 @t365)) % 54.75/54.94 (define @t1012 () (tptp.hBOOL (tptp.hAPP @t1011 @t288))) % 54.75/54.94 (define @t1013 () (tptp.hBOOL (tptp.hAPP @t1011 @t367))) % 54.75/54.94 (define @t1014 () (@list @t288 @t367 @t289)) % 54.75/54.94 (define @t1015 () (tptp.hBOOL (tptp.hAPP @t962 @t365))) % 54.75/54.94 (define @t1016 () (tptp.hBOOL (tptp.hAPP @t1002 @t365))) % 54.75/54.94 (define @t1017 () (tptp.hAPP @t956 @t26)) % 54.75/54.94 (define @t1018 () (tptp.hBOOL (tptp.hAPP @t1017 @t181))) % 54.75/54.94 (define @t1019 () (tptp.hAPP @t956 @t274)) % 54.75/54.94 (define @t1020 () (tptp.hBOOL (tptp.hAPP @t1019 @t181))) % 54.75/54.94 (define @t1021 () (tptp.hAPP @t956 @t181)) % 54.75/54.94 (define @t1022 () (tptp.hBOOL (tptp.hAPP @t1021 @t26))) % 54.75/54.94 (define @t1023 () (tptp.hBOOL (tptp.hAPP @t1021 @t274))) % 54.75/54.94 (define @t1024 () (tptp.hBOOL (tptp.hAPP @t1019 @t26))) % 54.75/54.94 (define @t1025 () (tptp.c_Orderings_Oord__class_Oless__eq @t14)) % 54.75/54.94 (define @t1026 () (tptp.hAPP @t1025 @t16)) % 54.75/54.94 (define @t1027 () (tptp.hBOOL (tptp.hAPP @t1026 @t659))) % 54.75/54.94 (define @t1028 () (= @t1027 @t678)) % 54.75/54.94 (define @t1029 () (tptp.hAPP @t1025 @t659)) % 54.75/54.94 (define @t1030 () (tptp.hBOOL (tptp.hAPP @t1029 @t16))) % 54.75/54.94 (define @t1031 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t6) @t5))) % 54.75/54.94 (define @t1032 () (@list @t1 @t2 @t14 @t420)) % 54.75/54.94 (define @t1033 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t16) @t659))) % 54.75/54.94 (define @t1034 () (tptp.hAPP @t948 @t629)) % 54.75/54.94 (define @t1035 () (tptp.hBOOL (tptp.hAPP @t1034 @t57))) % 54.75/54.94 (define @t1036 () (tptp.hAPP @t963 @t315)) % 54.75/54.94 (define @t1037 () (tptp.hBOOL (tptp.hAPP @t449 @t349))) % 54.75/54.94 (define @t1038 () (=> @t1037 @t968)) % 54.75/54.94 (define @t1039 () (tptp.hAPP @t818 @t349)) % 54.75/54.94 (define @t1040 () (tptp.hAPP @t1039 @t102)) % 54.75/54.94 (define @t1041 () (tptp.hAPP @t1039 @t347)) % 54.75/54.94 (define @t1042 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1041) @t1040))) % 54.75/54.94 (define @t1043 () (tptp.hAPP @t818 @t102)) % 54.75/54.94 (define @t1044 () (tptp.hAPP @t1043 @t349)) % 54.75/54.94 (define @t1045 () (tptp.hAPP @t978 @t349)) % 54.75/54.94 (define @t1046 () (tptp.hAPP @t948 @t16)) % 54.75/54.94 (define @t1047 () (tptp.hBOOL (tptp.hAPP @t1046 @t659))) % 54.75/54.94 (define @t1048 () (tptp.hAPP tptp.c_Int_Onat @t659)) % 54.75/54.94 (define @t1049 () (tptp.hAPP tptp.c_Int_Onat @t16)) % 54.75/54.94 (define @t1050 () (tptp.hBOOL (tptp.hAPP @t949 @t659))) % 54.75/54.94 (define @t1051 () (tptp.hBOOL (tptp.hAPP @t949 @t16))) % 54.75/54.94 (define @t1052 () (not @t712)) % 54.75/54.94 (define @t1053 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t344) @t493))) % 54.75/54.94 (define @t1054 () (tptp.hAPP @t956 @t340)) % 54.75/54.94 (define @t1055 () (tptp.hBOOL (tptp.hAPP @t1054 @t321))) % 54.75/54.94 (define @t1056 () (tptp.hBOOL (tptp.hAPP @t1017 @t427))) % 54.75/54.94 (define @t1057 () (tptp.class_Groups_Oordered__ab__semigroup__add @t289)) % 54.75/54.94 (define @t1058 () (tptp.hAPP @t1025 @t54)) % 54.75/54.94 (define @t1059 () (tptp.hBOOL (tptp.hAPP @t1058 @t52))) % 54.75/54.94 (define @t1060 () (= @t349 @t19)) % 54.75/54.94 (define @t1061 () (or @t348 @t1060)) % 54.75/54.94 (define @t1062 () (= @t1041 @t1040)) % 54.75/54.94 (define @t1063 () (tptp.hAPP @t963 @t102)) % 54.75/54.94 (define @t1064 () (tptp.class_Groups_Oordered__ab__group__add @t289)) % 54.75/54.94 (define @t1065 () (tptp.hAPP @t1025 @t765)) % 54.75/54.94 (define @t1066 () (tptp.hAPP @t1025 @t815)) % 54.75/54.94 (define @t1067 () (tptp.hBOOL (tptp.hAPP @t1066 @t52))) % 54.75/54.94 (define @t1068 () (tptp.hAPP @t1025 @t52)) % 54.75/54.94 (define @t1069 () (tptp.hAPP @t990 @t76)) % 54.75/54.94 (define @t1070 () (tptp.hAPP @t990 @t306)) % 54.75/54.94 (define @t1071 () (@list @t76 @t306 @t359)) % 54.75/54.94 (define @t1072 () (tptp.hAPP @t819 @t359)) % 54.75/54.94 (define @t1073 () (tptp.hAPP @t963 @t436)) % 54.75/54.94 (define @t1074 () (tptp.hBOOL (tptp.hAPP @t1073 @t347))) % 54.75/54.94 (define @t1075 () (not @t968)) % 54.75/54.94 (define @t1076 () (tptp.hBOOL (tptp.hAPP @t967 @t436))) % 54.75/54.94 (define @t1077 () (tptp.hBOOL (tptp.hAPP @t1063 @t347))) % 54.75/54.94 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t974 @t254))) % 54.75/54.94 (define @t1079 () (tptp.hBOOL (tptp.hAPP @t974 @t76))) % 54.75/54.94 (define @t1080 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t307) @t76))) % 54.75/54.94 (define @t1081 () (tptp.hAPP @t963 @t288)) % 54.75/54.94 (define @t1082 () (tptp.hBOOL (tptp.hAPP @t1081 @t367))) % 54.75/54.94 (define @t1083 () (tptp.hBOOL (tptp.hAPP @t1081 @t369))) % 54.75/54.94 (define @t1084 () (tptp.hAPP @t963 @t76)) % 54.75/54.94 (define @t1085 () (tptp.hAPP @t963 @t536)) % 54.75/54.94 (define @t1086 () (tptp.hBOOL (tptp.hAPP @t993 @t76))) % 54.75/54.94 (define @t1087 () (tptp.hAPP @t362 @t359)) % 54.75/54.94 (define @t1088 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1087) @t76))) % 54.75/54.94 (define @t1089 () (@list @t76 @t359 @t306)) % 54.75/54.94 (define @t1090 () (tptp.hAPP @t948 @t57)) % 54.75/54.94 (define @t1091 () (tptp.hAPP @t630 @t359)) % 54.75/54.94 (define @t1092 () (tptp.hBOOL (tptp.hAPP @t1084 @t306))) % 54.75/54.94 (define @t1093 () (tptp.hBOOL (tptp.hAPP @t949 @t57))) % 54.75/54.94 (define @t1094 () (@var "V_z_H" $$unsorted)) % 54.75/54.94 (define @t1095 () (tptp.hAPP tptp.c_Int_Onat @t1094)) % 54.75/54.94 (define @t1096 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t786 @t1094))) % 54.75/54.94 (define @t1097 () (@list @t1094 @t365)) % 54.75/54.94 (define @t1098 () (tptp.hAPP (tptp.hAPP @t723 @t288) @t367)) % 54.75/54.94 (define @t1099 () (tptp.hAPP tptp.c_Int_Onat @t367)) % 54.75/54.94 (define @t1100 () (tptp.hAPP tptp.c_Int_Onat @t288)) % 54.75/54.94 (define @t1101 () (tptp.hBOOL (tptp.hAPP @t949 @t367))) % 54.75/54.94 (define @t1102 () (tptp.hBOOL (tptp.hAPP @t949 @t288))) % 54.75/54.94 (define @t1103 () (tptp.hAPP @t1025 @t15)) % 54.75/54.94 (define @t1104 () (tptp.hBOOL (tptp.hAPP @t997 @t624))) % 54.75/54.94 (define @t1105 () (tptp.hBOOL (tptp.hAPP @t1103 @t54))) % 54.75/54.94 (define @t1106 () (tptp.hBOOL (tptp.hAPP @t1058 @t15))) % 54.75/54.94 (define @t1107 () (tptp.hBOOL (tptp.hAPP @t957 @t274))) % 54.75/54.94 (define @t1108 () (tptp.hBOOL (tptp.hAPP @t957 @t181))) % 54.75/54.94 (define @t1109 () (tptp.hAPP @t329 @t16)) % 54.75/54.94 (define @t1110 () (tptp.hAPP @t1109 @t659)) % 54.75/54.94 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t1019 @t340))) % 54.75/54.94 (define @t1112 () (tptp.hBOOL (tptp.hAPP @t957 @t26))) % 54.75/54.94 (define @t1113 () (@list @t181 @t274 @t26 @t289)) % 54.75/54.94 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t1019 @t384))) % 54.75/54.94 (define @t1115 () (tptp.hBOOL (tptp.hAPP @t1021 @t384))) % 54.75/54.94 (define @t1116 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t751) @t384))) % 54.75/54.94 (define @t1117 () (tptp.class_Rings_Oordered__cancel__semiring @t289)) % 54.75/54.94 (define @t1118 () (tptp.hBOOL (tptp.hAPP @t957 @t751))) % 54.75/54.94 (define @t1119 () (tptp.class_Rings_Oordered__ring @t289)) % 54.75/54.94 (define @t1120 () (tptp.hAPP @t787 @t427)) % 54.75/54.94 (define @t1121 () (tptp.hAPP @t956 @t856)) % 54.75/54.94 (define @t1122 () (=> @t1112 (tptp.hBOOL (tptp.hAPP @t1121 @t1120)))) % 54.75/54.94 (define @t1123 () (tptp.class_Rings_Oordered__semiring @t289)) % 54.75/54.94 (define @t1124 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t907) @t906))) % 54.75/54.94 (define @t1125 () (tptp.hBOOL (tptp.hAPP @t1017 @t384))) % 54.75/54.94 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t1121 @t817))) % 54.75/54.94 (define @t1127 () (=> @t1023 (=> @t1112 @t1124))) % 54.75/54.94 (define @t1128 () (tptp.hBOOL (tptp.hAPP @t1103 @t52))) % 54.75/54.94 (define @t1129 () (tptp.hBOOL (tptp.hAPP @t1068 @t15))) % 54.75/54.94 (define @t1130 () (or (and @t1105 @t1129) (and @t1106 @t1128))) % 54.75/54.94 (define @t1131 () (or (and @t1105 @t1128) (and @t1106 @t1129))) % 54.75/54.94 (define @t1132 () (tptp.hAPP @t956 @t736)) % 54.75/54.94 (define @t1133 () (and @t1037 @t468)) % 54.75/54.94 (define @t1134 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1041) @t1040))) % 54.75/54.94 (define @t1135 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t519) @t102))) % 54.75/54.94 (define @t1136 () (tptp.hAPP @t360 @t821)) % 54.75/54.94 (define @t1137 () (tptp.hAPP @t316 @t821)) % 54.75/54.94 (define @t1138 () (tptp.hAPP @t1137 @t76)) % 54.75/54.94 (define @t1139 () (tptp.hAPP @t685 @t367)) % 54.75/54.94 (define @t1140 () (tptp.hAPP @t625 @t365)) % 54.75/54.94 (define @t1141 () (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t625 @t4)))) % 54.75/54.94 (define @t1142 () (tptp.hAPP @t87 @t4)) % 54.75/54.94 (define @t1143 () (tptp.hBOOL @t1142)) % 54.75/54.94 (define @t1144 () (tptp.hBOOL (tptp.hAPP @t949 @t4))) % 54.75/54.94 (define @t1145 () (@list @t87)) % 54.75/54.94 (define @t1146 () (@var "V_z_H_2" $$unsorted)) % 54.75/54.94 (define @t1147 () (tptp.hAPP tptp.c_Int_Onat @t1146)) % 54.75/54.94 (define @t1148 () (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP tptp.c_Int_Onat @t4)))) % 54.75/54.94 (define @t1149 () (@var "B_x1" $$unsorted)) % 54.75/54.94 (define @t1150 () (tptp.hBOOL (tptp.hAPP @t87 @t1149))) % 54.75/54.94 (define @t1151 () (@list @t1149)) % 54.75/54.94 (define @t1152 () (exists @t1151 @t1150)) % 54.75/54.94 (define @t1153 () (forall @t1151 @t1150)) % 54.75/54.94 (define @t1154 () (@var "V_w_H" $$unsorted)) % 54.75/54.94 (define @t1155 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1094) @t365))) % 54.75/54.94 (define @t1156 () (tptp.hAPP (tptp.hAPP @t723 @t640) @t639)) % 54.75/54.94 (define @t1157 () (tptp.hAPP @t625 @t820)) % 54.75/54.94 (define @t1158 () (tptp.hAPP (tptp.hAPP @t818 @t288) @t367)) % 54.75/54.94 (define @t1159 () (tptp.hAPP @t625 @t821)) % 54.75/54.94 (define @t1160 () (=> @t904 @t1023)) % 54.75/54.94 (define @t1161 () (=> @t1112 @t491)) % 54.75/54.94 (define @t1162 () (=> @t908 @t1161)) % 54.75/54.94 (define @t1163 () (tptp.class_Rings_Olinordered__semiring @t289)) % 54.75/54.94 (define @t1164 () (=> @t903 @t1161)) % 54.75/54.94 (define @t1165 () (tptp.hBOOL (tptp.hAPP @t902 @t1120))) % 54.75/54.94 (define @t1166 () (=> @t1112 @t1165)) % 54.75/54.94 (define @t1167 () (tptp.hBOOL (tptp.hAPP @t1068 @t54))) % 54.75/54.94 (define @t1168 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t895) @t894))) % 54.75/54.94 (define @t1169 () (tptp.hAPP @t930 @t288)) % 54.75/54.94 (define @t1170 () (tptp.hBOOL (tptp.hAPP @t1002 @t736))) % 54.75/54.94 (define @t1171 () (tptp.hBOOL (tptp.hAPP @t957 @t367))) % 54.75/54.94 (define @t1172 () (tptp.hBOOL (tptp.hAPP @t957 @t288))) % 54.75/54.94 (define @t1173 () (tptp.hBOOL (tptp.hAPP @t881 @t306))) % 54.75/54.94 (define @t1174 () (tptp.hBOOL (tptp.hAPP @t881 @t76))) % 54.75/54.94 (define @t1175 () (tptp.hAPP @t948 @t626)) % 54.75/54.94 (define @t1176 () (tptp.hAPP @t948 @t434)) % 54.75/54.94 (define @t1177 () (tptp.hBOOL (tptp.hAPP @t1176 @t624))) % 54.75/54.94 (define @t1178 () (@list @t434)) % 54.75/54.94 (define @t1179 () (= @t947 @t19)) % 54.75/54.94 (define @t1180 () (tptp.hAPP @t948 @t734)) % 54.75/54.94 (define @t1181 () (tptp.hAPP @t625 @t947)) % 54.75/54.94 (define @t1182 () (= @t1181 @t365)) % 54.75/54.94 (define @t1183 () (=> @t950 @t1182)) % 54.75/54.94 (define @t1184 () (@list @t365 @t679)) % 54.75/54.94 (define @t1185 () (tptp.hBOOL (tptp.hAPP @t962 @t181))) % 54.75/54.94 (define @t1186 () (tptp.hAPP @t632 @t16)) % 54.75/54.94 (define @t1187 () (tptp.hBOOL (tptp.hAPP @t1186 @t659))) % 54.75/54.94 (define @t1188 () (and (=> @t951 (= @t629 @t636)) (=> (not @t951) @t377))) % 54.75/54.94 (define @t1189 () (tptp.hBOOL (tptp.hAPP @t949 @t1094))) % 54.75/54.94 (define @t1190 () (@var "V_q" $$unsorted)) % 54.75/54.94 (define @t1191 () (tptp.hAPP @t632 @t914)) % 54.75/54.94 (define @t1192 () (tptp.hAPP @t723 @t181)) % 54.75/54.94 (define @t1193 () (tptp.hAPP @t1192 @t1190)) % 54.75/54.94 (define @t1194 () (= @t181 (tptp.hAPP (tptp.hAPP @t630 @t914) @t1193))) % 54.75/54.94 (define @t1195 () (tptp.hBOOL (tptp.hAPP @t642 @t181))) % 54.75/54.94 (define @t1196 () (@list @t1190 @t914 @t181)) % 54.75/54.94 (define @t1197 () (tptp.hAPP @t948 @t1190)) % 54.75/54.94 (define @t1198 () (tptp.hBOOL (tptp.hAPP @t949 @t914))) % 54.75/54.94 (define @t1199 () (@var "V_q_H" $$unsorted)) % 54.75/54.94 (define @t1200 () (tptp.hAPP @t948 @t1199)) % 54.75/54.94 (define @t1201 () (tptp.hBOOL (tptp.hAPP @t1200 @t1190))) % 54.75/54.94 (define @t1202 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t594) @t274))) % 54.75/54.94 (define @t1203 () (tptp.hBOOL (tptp.hAPP @t642 @t594))) % 54.75/54.94 (define @t1204 () (@var "V_r_H" $$unsorted)) % 54.75/54.94 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t949 @t1204))) % 54.75/54.94 (define @t1206 () (tptp.hBOOL (tptp.hAPP @t1191 @t274))) % 54.75/54.94 (define @t1207 () (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t723 @t594) @t1199)) @t1204)) % 54.75/54.94 (define @t1208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1207) @t624))) % 54.75/54.94 (define @t1209 () (tptp.hAPP @t723 @t274)) % 54.75/54.94 (define @t1210 () (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1209 @t1190)) @t914)) % 54.75/54.94 (define @t1211 () (= @t1210 @t1207)) % 54.75/54.94 (define @t1212 () (@list @t1204 @t1199 @t594 @t914 @t1190 @t274)) % 54.75/54.94 (define @t1213 () (tptp.hBOOL (tptp.hAPP @t1197 @t1199))) % 54.75/54.94 (define @t1214 () (tptp.hAPP @t632 @t274)) % 54.75/54.94 (define @t1215 () (tptp.hBOOL (tptp.hAPP @t1214 @t914))) % 54.75/54.94 (define @t1216 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t914) @t624))) % 54.75/54.94 (define @t1217 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1209 @t1199)) @t1204)) @t1210))) % 54.75/54.94 (define @t1218 () (@list @t914 @t1190 @t1204 @t1199 @t274)) % 54.75/54.94 (define @t1219 () (tptp.hAPP @t632 @t1204)) % 54.75/54.94 (define @t1220 () (tptp.hBOOL (tptp.hAPP @t1219 @t594))) % 54.75/54.94 (define @t1221 () (tptp.hBOOL (tptp.hAPP @t949 @t1207))) % 54.75/54.94 (define @t1222 () (@list @t1204 @t1199 @t594)) % 54.75/54.94 (define @t1223 () (tptp.hAPP @t963 @t512)) % 54.75/54.94 (define @t1224 () (tptp.hAPP @t316 (tptp.hAPP @t983 @t159))) % 54.75/54.94 (define @t1225 () (tptp.hAPP @t316 (tptp.hAPP @t985 @t159))) % 54.75/54.94 (define @t1226 () (tptp.hAPP @t748 @t367)) % 54.75/54.94 (define @t1227 () (tptp.class_Lattices_Oboolean__algebra @t289)) % 54.75/54.94 (define @t1228 () (tptp.hAPP @t758 @t659)) % 54.75/54.94 (define @t1229 () (tptp.hAPP @t758 @t16)) % 54.75/54.94 (define @t1230 () (tptp.class_Lattices_Oboolean__algebra @t14)) % 54.75/54.94 (define @t1231 () (@var "B_i" $$unsorted)) % 54.75/54.94 (define @t1232 () (tptp.hAPP @t87 @t1231)) % 54.75/54.94 (define @t1233 () (tptp.hBOOL @t1232)) % 54.75/54.94 (define @t1234 () (tptp.hAPP @t963 @t1231)) % 54.75/54.94 (define @t1235 () (@list @t1231)) % 54.75/54.94 (define @t1236 () (tptp.hBOOL @t477)) % 54.75/54.94 (define @t1237 () (not @t453)) % 54.75/54.94 (define @t1238 () (tptp.hBOOL (tptp.hAPP @t87 @t567))) % 54.75/54.94 (define @t1239 () (tptp.hAPP @t723 @t349)) % 54.75/54.94 (define @t1240 () (= @t102 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1239 @t1231)) @t567))) % 54.75/54.94 (define @t1241 () (tptp.hAPP @t632 @t349)) % 54.75/54.94 (define @t1242 () (and (tptp.hBOOL (tptp.hAPP @t1241 @t567)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t567) @t624)) @t1240)) % 54.75/54.94 (define @t1243 () (@list @t1231 @t567)) % 54.75/54.94 (define @t1244 () (tptp.hAPP @t1241 @t624)) % 54.75/54.94 (define @t1245 () (tptp.hBOOL @t1244)) % 54.75/54.94 (define @t1246 () (and (tptp.hBOOL (tptp.hAPP @t949 @t567)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t567) @t349)) @t1240)) % 54.75/54.94 (define @t1247 () (tptp.hBOOL (tptp.hAPP @t642 @t349))) % 54.75/54.94 (define @t1248 () (= @t349 @t624)) % 54.75/54.94 (define @t1249 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t102 @t349)) % 54.75/54.94 (define @t1250 () (@list @t349 @t102 @t87)) % 54.75/54.94 (define @t1251 () (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1209 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1190 @t26))) @t914)) % 54.75/54.94 (define @t1252 () (tptp.hBOOL (tptp.hAPP @t642 @t26))) % 54.75/54.94 (define @t1253 () (@list @t1190 @t274 @t914 @t26)) % 54.75/54.94 (define @t1254 () (tptp.hAPP @t1209 @t26)) % 54.75/54.94 (define @t1255 () (@list @t1190 @t914 @t274 @t26)) % 54.75/54.94 (define @t1256 () (tptp.c_Divides_Odiv__class_Omod @t289 @t181 @t274)) % 54.75/54.94 (define @t1257 () (tptp.class_Divides_Osemiring__div @t289)) % 54.75/54.94 (define @t1258 () (tptp.c_Divides_Odiv__class_Omod @t289 @t323 @t26)) % 54.75/54.94 (define @t1259 () (tptp.c_Divides_Odiv__class_Omod @t289 @t274 @t26)) % 54.75/54.94 (define @t1260 () (= @t1259 (tptp.c_Divides_Odiv__class_Omod @t289 @t594 @t26))) % 54.75/54.94 (define @t1261 () (tptp.c_Divides_Odiv__class_Omod @t289 @t181 @t26)) % 54.75/54.94 (define @t1262 () (= @t1261 (tptp.c_Divides_Odiv__class_Omod @t289 @t297 @t26))) % 54.75/54.94 (define @t1263 () (@list @t594 @t274 @t297 @t26 @t181 @t289)) % 54.75/54.94 (define @t1264 () (tptp.hAPP @t319 @t1261)) % 54.75/54.94 (define @t1265 () (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1264 @t274) @t26)) % 54.75/54.94 (define @t1266 () (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t322 @t1259) @t26)) % 54.75/54.94 (define @t1267 () (tptp.c_Divides_Odiv__class_Omod @t289 @t751 @t26)) % 54.75/54.94 (define @t1268 () (tptp.hAPP @t739 @t1261)) % 54.75/54.94 (define @t1269 () (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1268 @t274) @t26)) % 54.75/54.94 (define @t1270 () (tptp.c_Divides_Odiv__class_Omod @t289 @t754 @t274)) % 54.75/54.94 (define @t1271 () (tptp.class_Divides_Oring__div @t289)) % 54.75/54.94 (define @t1272 () (@list @t274)) % 54.75/54.94 (define @t1273 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t274 @t26)) % 54.75/54.94 (define @t1274 () (tptp.hAPP @t1192 @t1273)) % 54.75/54.94 (define @t1275 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1274 @t26)) % 54.75/54.94 (define @t1276 () (tptp.hAPP @t1192 @t274)) % 54.75/54.94 (define @t1277 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1276 @t26)) % 54.75/54.94 (define @t1278 () (@list @t26 @t274 @t181)) % 54.75/54.94 (define @t1279 () (tptp.hAPP @t726 @t181)) % 54.75/54.94 (define @t1280 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1279 @t274)) % 54.75/54.94 (define @t1281 () (tptp.hAPP @t726 @t274)) % 54.75/54.94 (define @t1282 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t1281)) % 54.75/54.94 (define @t1283 () (@list @t274 @t181)) % 54.75/54.94 (define @t1284 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t274)) % 54.75/54.94 (define @t1285 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t288 @t306)) % 54.75/54.94 (define @t1286 () (tptp.hAPP @t322 @t906)) % 54.75/54.94 (define @t1287 () (tptp.hAPP @t322 @t817)) % 54.75/54.94 (define @t1288 () (tptp.hBOOL (tptp.hAPP @t949 @t306))) % 54.75/54.94 (define @t1289 () (@list @t359 @t306)) % 54.75/54.94 (define @t1290 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t288 @t367)) % 54.75/54.94 (define @t1291 () (tptp.hBOOL (tptp.hAPP @t1214 @t1284))) % 54.75/54.94 (define @t1292 () (tptp.hBOOL (tptp.hAPP @t1214 @t624))) % 54.75/54.94 (define @t1293 () (@list @t181 @t274)) % 54.75/54.94 (define @t1294 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1284) @t274))) % 54.75/54.94 (define @t1295 () (tptp.hBOOL (tptp.hAPP @t642 @t274))) % 54.75/54.94 (define @t1296 () (@var "B_q" $$unsorted)) % 54.75/54.94 (define @t1297 () (@list @t1296)) % 54.75/54.94 (define @t1298 () (@list @t859 @t347)) % 54.75/54.94 (define @t1299 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t359 @t531)) % 54.75/54.94 (define @t1300 () (not (= @t1299 @t624))) % 54.75/54.94 (define @t1301 () (tptp.hAPP @t726 @t531)) % 54.75/54.94 (define @t1302 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t359 @t1301)) % 54.75/54.94 (define @t1303 () (@list @t531 @t359)) % 54.75/54.94 (define @t1304 () (= @t1284 @t181)) % 54.75/54.94 (define @t1305 () (tptp.hBOOL (tptp.hAPP @t1214 @t181))) % 54.75/54.94 (define @t1306 () (tptp.hAPP @t948 @t181)) % 54.75/54.94 (define @t1307 () (tptp.hBOOL (tptp.hAPP @t1306 @t624))) % 54.75/54.94 (define @t1308 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1284) @t624))) % 54.75/54.94 (define @t1309 () (tptp.hAPP @t632 @t181)) % 54.75/54.94 (define @t1310 () (tptp.hBOOL (tptp.hAPP @t1309 @t274))) % 54.75/54.94 (define @t1311 () (tptp.hBOOL (tptp.hAPP @t949 @t181))) % 54.75/54.94 (define @t1312 () (tptp.hBOOL (tptp.hAPP @t949 @t1284))) % 54.75/54.94 (define @t1313 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t289)) % 54.75/54.94 (define @t1314 () (@var "V_A_2" $$unsorted)) % 54.75/54.94 (define @t1315 () (tptp.hAPP @t1314 @t16)) % 54.75/54.94 (define @t1316 () (tptp.tc_fun @t420 @t14)) % 54.75/54.94 (define @t1317 () (tptp.hAPP @t630 @t181)) % 54.75/54.94 (define @t1318 () (tptp.hAPP @t1317 @t274)) % 54.75/54.94 (define @t1319 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1318) @t624))) % 54.75/54.94 (define @t1320 () (@var "V_b_1" $$unsorted)) % 54.75/54.94 (define @t1321 () (not (= @t1320 @t624))) % 54.75/54.94 (define @t1322 () (tptp.hAPP @t948 @t367)) % 54.75/54.94 (define @t1323 () (tptp.hAPP @t632 @t1320)) % 54.75/54.94 (define @t1324 () (tptp.hBOOL (tptp.hAPP @t642 @t1320))) % 54.75/54.94 (define @t1325 () (not @t1324)) % 54.75/54.94 (define @t1326 () (@var "V_q_1" $$unsorted)) % 54.75/54.94 (define @t1327 () (tptp.hAPP @t723 @t1320)) % 54.75/54.94 (define @t1328 () (tptp.c_SMT_Oz3mod @t359 @t531)) % 54.75/54.94 (define @t1329 () (tptp.hBOOL (tptp.hAPP @t949 @t531))) % 54.75/54.94 (define @t1330 () (not @t1329)) % 54.75/54.94 (define @t1331 () (@list @t359 @t531)) % 54.75/54.94 (define @t1332 () (tptp.hBOOL (tptp.hAPP @t1232 @t567))) % 54.75/54.94 (define @t1333 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) % 54.75/54.94 (define @t1334 () (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1333 @t102) @t349))) % 54.75/54.94 (define @t1335 () (tptp.hBOOL (tptp.hAPP @t1334 @t1249))) % 54.75/54.94 (define @t1336 () (@list @t102 @t87 @t349)) % 54.75/54.94 (define @t1337 () (tptp.hAPP @t1333 @t181)) % 54.75/54.94 (define @t1338 () (tptp.hAPP @t1337 @t274)) % 54.75/54.94 (define @t1339 () (@list @t274 @t181 @t26)) % 54.75/54.94 (define @t1340 () (tptp.c_Nat__Transfer_Otsub @t288 @t367)) % 54.75/54.94 (define @t1341 () (@var "V_r_1" $$unsorted)) % 54.75/54.94 (define @t1342 () (tptp.hBOOL (tptp.hAPP @t87 @t624))) % 54.75/54.94 (define @t1343 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t1344 () (tptp.hAPP (tptp.hAPP @t1343 @t347) @t102)) % 54.75/54.94 (define @t1345 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t274 @t26)) % 54.75/54.94 (define @t1346 () (tptp.hAPP (tptp.hAPP @t1343 @t274) @t26)) % 54.75/54.94 (define @t1347 () (tptp.hAPP @t1343 @t181)) % 54.75/54.94 (define @t1348 () (tptp.hAPP (tptp.hAPP @t316 @t181) @t274)) % 54.75/54.94 (define @t1349 () (tptp.hAPP @t625 @t274)) % 54.75/54.94 (define @t1350 () (tptp.hAPP @t625 @t181)) % 54.75/54.94 (define @t1351 () (tptp.hAPP @t1347 @t274)) % 54.75/54.94 (define @t1352 () (tptp.hAPP @t818 @t181)) % 54.75/54.94 (define @t1353 () (tptp.hAPP @t1352 @t274)) % 54.75/54.94 (define @t1354 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t181 @t274)) % 54.75/54.94 (define @t1355 () (tptp.hAPP @t818 @t274)) % 54.75/54.94 (define @t1356 () (tptp.hAPP @t1355 @t26)) % 54.75/54.94 (define @t1357 () (tptp.hAPP @t1343 @t306)) % 54.75/54.94 (define @t1358 () (tptp.hAPP @t1357 @t76)) % 54.75/54.94 (define @t1359 () (tptp.hAPP @t1343 @t76)) % 54.75/54.94 (define @t1360 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t306 @t76)) % 54.75/54.94 (define @t1361 () (tptp.hAPP tptp.c_Nat_OSuc @t1360)) % 54.75/54.94 (define @t1362 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t307 @t76)) % 54.75/54.94 (define @t1363 () (=> @t460 (= @t1360 @t306))) % 54.75/54.94 (define @t1364 () (tptp.hAPP @t963 @t1360)) % 54.75/54.94 (define @t1365 () (tptp.hAPP @t1333 @t1279)) % 54.75/54.94 (define @t1366 () (tptp.hAPP @t1365 @t274)) % 54.75/54.94 (define @t1367 () (tptp.hAPP @t1337 @t1281)) % 54.75/54.94 (define @t1368 () (tptp.c_Divides_Odiv__class_Odiv @t289)) % 54.75/54.94 (define @t1369 () (tptp.hAPP @t1368 @t181)) % 54.75/54.94 (define @t1370 () (tptp.hAPP (tptp.hAPP @t1343 @t1100) @t1099)) % 54.75/54.94 (define @t1371 () (tptp.hAPP @t1333 @t288)) % 54.75/54.94 (define @t1372 () (tptp.hAPP @t1371 @t367)) % 54.75/54.94 (define @t1373 () (tptp.hAPP tptp.c_Int_Onat @t1372)) % 54.75/54.94 (define @t1374 () (=> @t460 (= @t1358 @t19))) % 54.75/54.94 (define @t1375 () (tptp.hAPP (tptp.hAPP @t1343 @t1070) @t1069)) % 54.75/54.94 (define @t1376 () (= @t1375 @t1358)) % 54.75/54.94 (define @t1377 () (= @t359 @t19)) % 54.75/54.94 (define @t1378 () (= @t1361 @t76)) % 54.75/54.94 (define @t1379 () (tptp.hAPP @t632 @t54)) % 54.75/54.94 (define @t1380 () (tptp.hAPP @t1333 @t54)) % 54.75/54.94 (define @t1381 () (tptp.hAPP @t1380 @t52)) % 54.75/54.94 (define @t1382 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1381) @t624))) % 54.75/54.94 (define @t1383 () (tptp.hAPP @t642 @t52)) % 54.75/54.94 (define @t1384 () (tptp.hBOOL @t1383)) % 54.75/54.94 (define @t1385 () (@list @t54 @t52)) % 54.75/54.94 (define @t1386 () (tptp.hAPP @t632 @t52)) % 54.75/54.94 (define @t1387 () (tptp.hBOOL (tptp.hAPP @t1386 @t624))) % 54.75/54.94 (define @t1388 () (tptp.hBOOL (tptp.hAPP @t1309 @t624))) % 54.75/54.94 (define @t1389 () (= @t181 @t624)) % 54.75/54.94 (define @t1390 () (not @t1389)) % 54.75/54.94 (define @t1391 () (tptp.hAPP (tptp.hAPP @t316 @t1069) @t306)) % 54.75/54.94 (define @t1392 () (@list @t306 @t76 @t359)) % 54.75/54.94 (define @t1393 () (tptp.hAPP @t1333 @t274)) % 54.75/54.94 (define @t1394 () (tptp.hAPP @t1393 @t26)) % 54.75/54.94 (define @t1395 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t288 @t367)) % 54.75/54.94 (define @t1396 () (tptp.hAPP @t1369 @t274)) % 54.75/54.94 (define @t1397 () (tptp.hAPP (tptp.hAPP @t1368 @t907) @t906)) % 54.75/54.94 (define @t1398 () (= @t26 @t384)) % 54.75/54.94 (define @t1399 () (not @t1398)) % 54.75/54.94 (define @t1400 () (=> @t1399 (= @t1397 @t1396))) % 54.75/54.94 (define @t1401 () (tptp.hAPP @t1368 @t751)) % 54.75/54.94 (define @t1402 () (tptp.hAPP @t1343 @t359)) % 54.75/54.94 (define @t1403 () (tptp.hBOOL (tptp.hAPP @t449 @t306))) % 54.75/54.94 (define @t1404 () (tptp.hAPP @t448 @t821)) % 54.75/54.94 (define @t1405 () (tptp.hBOOL (tptp.hAPP @t1404 @t76))) % 54.75/54.94 (define @t1406 () (tptp.hAPP (tptp.hAPP @t1333 @t434) @t349)) % 54.75/54.94 (define @t1407 () (@list @t349 @t434)) % 54.75/54.94 (define @t1408 () (tptp.hBOOL (tptp.hAPP @t949 @t54))) % 54.75/54.94 (define @t1409 () (tptp.hBOOL (tptp.hAPP @t949 @t1381))) % 54.75/54.94 (define @t1410 () (tptp.hAPP @t948 @t349)) % 54.75/54.94 (define @t1411 () (tptp.hAPP @t948 @t52)) % 54.75/54.94 (define @t1412 () (@list @t52 @t54)) % 54.75/54.94 (define @t1413 () (tptp.hAPP @t1337 @t594)) % 54.75/54.94 (define @t1414 () (tptp.hAPP @t948 @t1338)) % 54.75/54.94 (define @t1415 () (@list @t274 @t594 @t181)) % 54.75/54.94 (define @t1416 () (tptp.hBOOL (tptp.hAPP @t1414 @t624))) % 54.75/54.94 (define @t1417 () (= @t1338 @t624)) % 54.75/54.94 (define @t1418 () (tptp.hAPP (tptp.hAPP @t1333 @t297) @t274)) % 54.75/54.94 (define @t1419 () (tptp.hBOOL (tptp.hAPP @t1306 @t297))) % 54.75/54.94 (define @t1420 () (@list @t274 @t297 @t181)) % 54.75/54.94 (define @t1421 () (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1209 @t1338)) @t1284)) % 54.75/54.94 (define @t1422 () (tptp.hAPP @t1317 @t359)) % 54.75/54.94 (define @t1423 () (tptp.hAPP @t343 @t1396)) % 54.75/54.94 (define @t1424 () (tptp.hAPP (tptp.hAPP @t319 @t1396) @t736)) % 54.75/54.94 (define @t1425 () (tptp.hAPP (tptp.hAPP @t739 @t1396) @t274)) % 54.75/54.94 (define @t1426 () (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t787 @t1396)) @t1256)) % 54.75/54.94 (define @t1427 () (tptp.hAPP (tptp.hAPP @t319 @t1425) @t1256)) % 54.75/54.94 (define @t1428 () (= @t102 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1039 @t1231)) @t567))) % 54.75/54.94 (define @t1429 () (tptp.hBOOL (tptp.hAPP @t568 @t349))) % 54.75/54.94 (define @t1430 () (not @t1060)) % 54.75/54.94 (define @t1431 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1355 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1190 @t26))) @t914)) % 54.75/54.94 (define @t1432 () (tptp.hBOOL (tptp.hAPP @t449 @t26))) % 54.75/54.94 (define @t1433 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1100 @t1099)) % 54.75/54.94 (define @t1434 () (tptp.hAPP tptp.c_Int_Onat @t1290)) % 54.75/54.94 (define @t1435 () (@var "V_q_2" $$unsorted)) % 54.75/54.94 (define @t1436 () (tptp.hAPP @t1333 @t359)) % 54.75/54.94 (define @t1437 () (tptp.c_SMT_Oz3div @t359 @t531)) % 54.75/54.94 (define @t1438 () (tptp.hAPP @t1436 @t531)) % 54.75/54.94 (define @t1439 () (tptp.hAPP @t726 @t1338)) % 54.75/54.94 (define @t1440 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 54.75/54.94 (define @t1441 () (tptp.hAPP (tptp.hAPP @t1440 @t1439) @t734)) % 54.75/54.94 (define @t1442 () (= @t1284 @t624)) % 54.75/54.94 (define @t1443 () (not @t1442)) % 54.75/54.94 (define @t1444 () (not (= @t274 @t624))) % 54.75/54.94 (define @t1445 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t1446 () (tptp.hAPP @t1445 @t306)) % 54.75/54.94 (define @t1447 () (tptp.hAPP @t1446 @t76)) % 54.75/54.94 (define @t1448 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t1343 @t1447) @t76))) % 54.75/54.94 (define @t1449 () (= @t1358 @t1448)) % 54.75/54.94 (define @t1450 () (tptp.hAPP @t1239 @t859)) % 54.75/54.94 (define @t1451 () (tptp.hAPP @t630 @t4)) % 54.75/54.94 (define @t1452 () (tptp.hAPP @t949 @t349)) % 54.75/54.94 (define @t1453 () (tptp.hBOOL @t1452)) % 54.75/54.94 (define @t1454 () (tptp.hBOOL (tptp.hAPP @t642 @t859))) % 54.75/54.94 (define @t1455 () (@list @t349 @t87 @t859)) % 54.75/54.94 (define @t1456 () (@var "B_z" $$unsorted)) % 54.75/54.94 (define @t1457 () (@list @t1456)) % 54.75/54.94 (define @t1458 () (tptp.class_Fields_Olinordered__field__inverse__zero @t289)) % 54.75/54.94 (define @t1459 () (tptp.hAPP @t1445 @t510)) % 54.75/54.94 (define @t1460 () (tptp.hAPP @t1459 @t512)) % 54.75/54.94 (define @t1461 () (tptp.hAPP (tptp.hAPP @t1445 @t1460) @t359)) % 54.75/54.94 (define @t1462 () (tptp.c_Groups_Ominus__class_Ominus @t14)) % 54.75/54.94 (define @t1463 () (tptp.hAPP (tptp.hAPP @t1462 @t54) @t52)) % 54.75/54.94 (define @t1464 () (= @t1463 (tptp.hAPP (tptp.hAPP @t1462 @t51) @t859))) % 54.75/54.94 (define @t1465 () (tptp.class_Groups_Oab__group__add @t14)) % 54.75/54.94 (define @t1466 () (tptp.c_Groups_Ominus__class_Ominus @t289)) % 54.75/54.94 (define @t1467 () (@var "V_B_2" $$unsorted)) % 54.75/54.94 (define @t1468 () (tptp.hAPP @t1467 @t16)) % 54.75/54.94 (define @t1469 () (tptp.hAPP @t1025 @t51)) % 54.75/54.94 (define @t1470 () (tptp.hBOOL (tptp.hAPP @t1469 @t859))) % 54.75/54.94 (define @t1471 () (= @t1463 @t15)) % 54.75/54.94 (define @t1472 () (tptp.hAPP @t1466 @t181)) % 54.75/54.94 (define @t1473 () (tptp.hBOOL (tptp.hAPP @t887 @t859))) % 54.75/54.94 (define @t1474 () (tptp.hAPP @t1466 @t323)) % 54.75/54.94 (define @t1475 () (tptp.hAPP @t1472 @t274)) % 54.75/54.94 (define @t1476 () (tptp.hAPP @t1466 @t274)) % 54.75/54.94 (define @t1477 () (tptp.hAPP @t1476 @t181)) % 54.75/54.94 (define @t1478 () (tptp.c_Divides_Odiv__class_Omod @t289 @t1475 @t26)) % 54.75/54.94 (define @t1479 () (tptp.hAPP @t1466 @t1261)) % 54.75/54.94 (define @t1480 () (tptp.hAPP @t1445 @t76)) % 54.75/54.94 (define @t1481 () (tptp.hAPP @t1480 @t306)) % 54.75/54.94 (define @t1482 () (= @t1447 @t19)) % 54.75/54.94 (define @t1483 () (tptp.hAPP @t1445 @t307)) % 54.75/54.94 (define @t1484 () (tptp.hAPP @t1483 @t76)) % 54.75/54.94 (define @t1485 () (tptp.hAPP @t1445 @t531)) % 54.75/54.94 (define @t1486 () (tptp.hAPP @t1485 @t306)) % 54.75/54.94 (define @t1487 () (tptp.hAPP @t1485 @t76)) % 54.75/54.94 (define @t1488 () (@list @t531 @t76 @t306)) % 54.75/54.94 (define @t1489 () (tptp.hAPP @t1445 @t512)) % 54.75/54.94 (define @t1490 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1447 @t76)) % 54.75/54.94 (define @t1491 () (= @t1360 @t1490)) % 54.75/54.94 (define @t1492 () (=> @t508 @t1491)) % 54.75/54.94 (define @t1493 () (tptp.hAPP @t1445 @t371)) % 54.75/54.94 (define @t1494 () (tptp.hAPP @t529 @t306)) % 54.75/54.94 (define @t1495 () (tptp.hAPP @t1445 @t1087)) % 54.75/54.94 (define @t1496 () (tptp.hAPP @t1480 @t510)) % 54.75/54.94 (define @t1497 () (tptp.hAPP @t1445 @t102)) % 54.75/54.94 (define @t1498 () (tptp.hAPP @t1497 @t349)) % 54.75/54.94 (define @t1499 () (tptp.hAPP @t1445 @t347)) % 54.75/54.94 (define @t1500 () (tptp.hAPP @t1499 @t349)) % 54.75/54.94 (define @t1501 () (tptp.hAPP @t963 @t349)) % 54.75/54.94 (define @t1502 () (tptp.hBOOL (tptp.hAPP @t1501 @t102))) % 54.75/54.94 (define @t1503 () (tptp.hBOOL (tptp.hAPP @t1501 @t347))) % 54.75/54.94 (define @t1504 () (tptp.hAPP (tptp.hAPP @t1440 @t689) @t688)) % 54.75/54.94 (define @t1505 () (tptp.hAPP @t1440 @t288)) % 54.75/54.94 (define @t1506 () (tptp.hAPP @t1505 @t367)) % 54.75/54.94 (define @t1507 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1506 @t306)) % 54.75/54.94 (define @t1508 () (@list @t367 @t306 @t288)) % 54.75/54.94 (define @t1509 () (tptp.hAPP @t1440 @t365)) % 54.75/54.94 (define @t1510 () (tptp.hAPP @t963 @t659)) % 54.75/54.94 (define @t1511 () (tptp.hAPP @t1445 @t16)) % 54.75/54.94 (define @t1512 () (tptp.hAPP @t1511 @t659)) % 54.75/54.94 (define @t1513 () (@var "V_e_2" $$unsorted)) % 54.75/54.94 (define @t1514 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP (tptp.hAPP @t1462 @t52) @t54)) @t1513)) @t859)) % 54.75/54.94 (define @t1515 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t768 @t1513)) @t859)) % 54.75/54.94 (define @t1516 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t769 @t1513)) @t51)) % 54.75/54.94 (define @t1517 () (= @t1516 @t1515)) % 54.75/54.94 (define @t1518 () (tptp.class_Rings_Oring @t14)) % 54.75/54.94 (define @t1519 () (@list @t859 @t52 @t51 @t1513 @t54 @t14)) % 54.75/54.94 (define @t1520 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP (tptp.hAPP @t761 @t1463) @t1513)) @t51)) % 54.75/54.94 (define @t1521 () (= @t1475 (tptp.hAPP @t322 @t749))) % 54.75/54.94 (define @t1522 () (tptp.hAPP @t319 @t288)) % 54.75/54.94 (define @t1523 () (tptp.hAPP @t1466 @t288)) % 54.75/54.94 (define @t1524 () (tptp.hAPP @t1523 @t367)) % 54.75/54.94 (define @t1525 () (@var "V_l_2" $$unsorted)) % 54.75/54.94 (define @t1526 () (tptp.hBOOL (tptp.hAPP @t1241 @t1525))) % 54.75/54.94 (define @t1527 () (@list @t1525 @t349)) % 54.75/54.94 (define @t1528 () (tptp.hAPP @t448 @t1447)) % 54.75/54.94 (define @t1529 () (tptp.hAPP @t1497 @t347)) % 54.75/54.94 (define @t1530 () (tptp.hAPP @t1499 @t102)) % 54.75/54.94 (define @t1531 () (@var "V_j_2" $$unsorted)) % 54.75/54.94 (define @t1532 () (tptp.hAPP @t316 @t434)) % 54.75/54.94 (define @t1533 () (tptp.hAPP @t1532 @t349)) % 54.75/54.94 (define @t1534 () (tptp.hAPP @t1445 @t1531)) % 54.75/54.94 (define @t1535 () (tptp.hAPP @t1534 @t349)) % 54.75/54.94 (define @t1536 () (tptp.hAPP @t448 @t434)) % 54.75/54.94 (define @t1537 () (@list @t349 @t1531 @t434)) % 54.75/54.94 (define @t1538 () (= (tptp.hAPP @t360 @t1447) @t306)) % 54.75/54.94 (define @t1539 () (tptp.hAPP @t1489 @t359)) % 54.75/54.94 (define @t1540 () (tptp.hAPP (tptp.hAPP @t316 @t1539) @t510)) % 54.75/54.94 (define @t1541 () (tptp.hAPP (tptp.hAPP @t1445 @t543) @t359)) % 54.75/54.94 (define @t1542 () (tptp.hBOOL (tptp.hAPP @t993 @t512))) % 54.75/54.94 (define @t1543 () (@list @t510 @t512 @t359)) % 54.75/54.94 (define @t1544 () (tptp.hAPP @t526 @t1539)) % 54.75/54.94 (define @t1545 () (tptp.hAPP (tptp.hAPP @t1445 @t527) @t359)) % 54.75/54.94 (define @t1546 () (tptp.hAPP @t1534 @t434)) % 54.75/54.94 (define @t1547 () (tptp.hAPP @t963 @t434)) % 54.75/54.94 (define @t1548 () (tptp.hBOOL (tptp.hAPP @t1547 @t1531))) % 54.75/54.94 (define @t1549 () (tptp.hAPP @t963 @t1531)) % 54.75/54.94 (define @t1550 () (tptp.hAPP @t1509 @t679)) % 54.75/54.94 (define @t1551 () (tptp.hAPP @t682 @t871)) % 54.75/54.94 (define @t1552 () (tptp.hAPP @t1446 @t821)) % 54.75/54.94 (define @t1553 () (tptp.hAPP (tptp.hAPP @t818 @t1358) @t76)) % 54.75/54.94 (define @t1554 () (tptp.hAPP @t1446 @t1360)) % 54.75/54.94 (define @t1555 () (tptp.hBOOL (tptp.hAPP @t1322 @t288))) % 54.75/54.94 (define @t1556 () (=> @t1555 (= @t1340 @t1506))) % 54.75/54.94 (define @t1557 () (@list @t288 @t367)) % 54.75/54.94 (define @t1558 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1516) @t1515))) % 54.75/54.94 (define @t1559 () (tptp.class_Rings_Oordered__ring @t14)) % 54.75/54.94 (define @t1560 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t1516) @t1515))) % 54.75/54.94 (define @t1561 () (@var "B_d" $$unsorted)) % 54.75/54.94 (define @t1562 () (tptp.hBOOL (tptp.hAPP @t87 @t1561))) % 54.75/54.94 (define @t1563 () (= @t54 (tptp.hAPP (tptp.hAPP @t316 @t52) @t1561))) % 54.75/54.94 (define @t1564 () (@list @t1561)) % 54.75/54.94 (define @t1565 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t54) @t52))) % 54.75/54.94 (define @t1566 () (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1445 @t54) @t52)))) % 54.75/54.94 (define @t1567 () (@list @t52 @t54 @t87)) % 54.75/54.94 (define @t1568 () (tptp.hAPP @t1440 @t57)) % 54.75/54.94 (define @t1569 () (tptp.hAPP tptp.c_Nat_OSuc @t512)) % 54.75/54.94 (define @t1570 () (tptp.hAPP tptp.c_Nat_OSuc @t1539)) % 54.75/54.94 (define @t1571 () (@list @t306 @t512 @t359)) % 54.75/54.94 (define @t1572 () (@var "V_u_2" $$unsorted)) % 54.75/54.94 (define @t1573 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t1546) @t1572)) @t102)) % 54.75/54.94 (define @t1574 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t1531) @t1572)) @t102)) % 54.75/54.94 (define @t1575 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t434) @t1572)) @t347)) % 54.75/54.94 (define @t1576 () (= @t1575 @t1574)) % 54.75/54.94 (define @t1577 () (@list @t102 @t347 @t1572 @t1531 @t434)) % 54.75/54.94 (define @t1578 () (tptp.hAPP @t1489 @t510)) % 54.75/54.94 (define @t1579 () (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP @t1225 @t306)) (tptp.hAPP @t1224 @t76))) % 54.75/54.94 (define @t1580 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1575) @t1574))) % 54.75/54.94 (define @t1581 () (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 (tptp.hAPP (tptp.hAPP @t1445 @t434) @t1531)) @t1572)) @t347)) % 54.75/54.94 (define @t1582 () (tptp.hBOOL (tptp.hAPP @t1549 @t434))) % 54.75/54.94 (define @t1583 () (@list @t102 @t347 @t1572 @t434 @t1531)) % 54.75/54.94 (define @t1584 () (tptp.hBOOL (tptp.hAPP @t1223 @t510))) % 54.75/54.94 (define @t1585 () (tptp.hAPP @t1440 @t274)) % 54.75/54.94 (define @t1586 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t306 @t76)) % 54.75/54.94 (define @t1587 () (tptp.hAPP @t1440 @t306)) % 54.75/54.94 (define @t1588 () (tptp.hAPP (tptp.hAPP @t1333 @t306) @t76)) % 54.75/54.94 (define @t1589 () (tptp.hAPP (tptp.hAPP @t723 @t76) @t1588)) % 54.75/54.94 (define @t1590 () (tptp.hAPP @t1480 @t821)) % 54.75/54.94 (define @t1591 () (tptp.hAPP tptp.c_Nat_OSuc @t1590)) % 54.75/54.94 (define @t1592 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1575) @t1574))) % 54.75/54.94 (define @t1593 () (not @t966)) % 54.75/54.94 (define @t1594 () (=> @t508 @t1449)) % 54.75/54.94 (define @t1595 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 54.75/54.94 (define @t1596 () (tptp.hAPP @t1595 @t359)) % 54.75/54.94 (define @t1597 () (tptp.hAPP @t1440 @t4)) % 54.75/54.94 (define @t1598 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint)) % 54.75/54.94 (define @t1599 () (tptp.hAPP (tptp.hAPP @t723 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1598 (tptp.hAPP @t1505 @t365))) @t734)) @t427)) % 54.75/54.94 (define @t1600 () (tptp.hBOOL (tptp.hAPP @t642 @t427))) % 54.75/54.94 (define @t1601 () (@var "V_p_2" $$unsorted)) % 54.75/54.94 (define @t1602 () (tptp.hAPP tptp.c_Nat_OSuc @t1231)) % 54.75/54.94 (define @t1603 () (tptp.hAPP @t448 @t1231)) % 54.75/54.94 (define @t1604 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t1605 () (tptp.hAPP @t1604 @t953)) % 54.75/54.94 (define @t1606 () (tptp.hAPP (tptp.hAPP @t1445 @t1605) @t821)) % 54.75/54.94 (define @t1607 () (@list @t953)) % 54.75/54.94 (define @t1608 () (tptp.c_Nitpick_Onat__gcd @t288 @t367)) % 54.75/54.94 (define @t1609 () (tptp.c_Power_Opower__class_Opower @t289)) % 54.75/54.94 (define @t1610 () (tptp.hAPP (tptp.hAPP @t1595 @t365) @t76)) % 54.75/54.94 (define @t1611 () (tptp.c_Int_Onumber__class_Onumber__of @t289)) % 54.75/54.94 (define @t1612 () (tptp.hAPP @t1611 @t953)) % 54.75/54.94 (define @t1613 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint)) % 54.75/54.94 (define @t1614 () (tptp.hAPP @t1613 @t953)) % 54.75/54.94 (define @t1615 () (tptp.class_Int_Onumber__ring @t289)) % 54.75/54.94 (define @t1616 () (@list @t953 @t289)) % 54.75/54.94 (define @t1617 () (tptp.c_Int_Onumber__class_Onumber__of @t14)) % 54.75/54.94 (define @t1618 () (tptp.hAPP @t1617 @t629)) % 54.75/54.94 (define @t1619 () (tptp.class_Int_Onumber @t14)) % 54.75/54.94 (define @t1620 () (tptp.hAPP @t1617 @t659)) % 54.75/54.94 (define @t1621 () (tptp.hAPP @t1617 @t16)) % 54.75/54.94 (define @t1622 () (= @t1621 @t1620)) % 54.75/54.94 (define @t1623 () (tptp.class_Int_Onumber__ring @t14)) % 54.75/54.94 (define @t1624 () (and @t1623 @t801)) % 54.75/54.94 (define @t1625 () (tptp.c_Groups_Oabs__class_Oabs @t289)) % 54.75/54.94 (define @t1626 () (tptp.hAPP @t1625 @t181)) % 54.75/54.94 (define @t1627 () (tptp.class_Groups_Oordered__ab__group__add__abs @t289)) % 54.75/54.94 (define @t1628 () (tptp.hAPP @t1598 @t288)) % 54.75/54.94 (define @t1629 () (@list @t76 @t288)) % 54.75/54.94 (define @t1630 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1626) @t274))) % 54.75/54.94 (define @t1631 () (tptp.c_Groups_Oabs__class_Oabs @t14)) % 54.75/54.94 (define @t1632 () (tptp.hAPP @t1631 @t54)) % 54.75/54.94 (define @t1633 () (tptp.class_Groups_Oordered__ab__group__add__abs @t14)) % 54.75/54.94 (define @t1634 () (tptp.hAPP @t1625 @t274)) % 54.75/54.94 (define @t1635 () (tptp.hAPP (tptp.hAPP @t319 @t1626) @t1634)) % 54.75/54.94 (define @t1636 () (tptp.hAPP @t739 @t1626)) % 54.75/54.94 (define @t1637 () (tptp.hAPP @t1636 @t1634)) % 54.75/54.94 (define @t1638 () (= (tptp.hAPP @t1625 @t751) @t1637)) % 54.75/54.94 (define @t1639 () (tptp.hAPP @t1625 @t1477)) % 54.75/54.94 (define @t1640 () (tptp.hAPP @t1625 @t1475)) % 54.75/54.94 (define @t1641 () (tptp.hAPP @t1609 @t367)) % 54.75/54.94 (define @t1642 () (tptp.hAPP @t1609 @t288)) % 54.75/54.94 (define @t1643 () (tptp.hAPP @t1642 @t1190)) % 54.75/54.94 (define @t1644 () (tptp.hAPP @t739 @t1643)) % 54.75/54.94 (define @t1645 () (@var "V_p" $$unsorted)) % 54.75/54.94 (define @t1646 () (tptp.hAPP @t818 @t1645)) % 54.75/54.94 (define @t1647 () (tptp.hAPP @t1642 @t1645)) % 54.75/54.94 (define @t1648 () (@list @t1190 @t1645 @t288 @t289)) % 54.75/54.94 (define @t1649 () (tptp.hAPP @t1595 @t288)) % 54.75/54.94 (define @t1650 () (tptp.hAPP @t1649 @t367)) % 54.75/54.94 (define @t1651 () (tptp.hAPP @t643 @t1605)) % 54.75/54.94 (define @t1652 () (= @t1651 @t384)) % 54.75/54.94 (define @t1653 () (tptp.hBOOL (tptp.hAPP @t949 @t1614))) % 54.75/54.94 (define @t1654 () (= @t1651 @t1612)) % 54.75/54.94 (define @t1655 () (tptp.hAPP @t1611 @t359)) % 54.75/54.94 (define @t1656 () (tptp.hAPP @t1611 @t288)) % 54.75/54.94 (define @t1657 () (tptp.hAPP @t1625 @t1656)) % 54.75/54.94 (define @t1658 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1656) @t384))) % 54.75/54.94 (define @t1659 () (and @t1615 @t604)) % 54.75/54.94 (define @t1660 () (tptp.hAPP @t1598 @t16)) % 54.75/54.94 (define @t1661 () (@list @t102 @t16)) % 54.75/54.94 (define @t1662 () (= @t1626 @t181)) % 54.75/54.94 (define @t1663 () (tptp.hAPP @t1025 @t1632)) % 54.75/54.94 (define @t1664 () (tptp.hAPP @t487 @t1626)) % 54.75/54.94 (define @t1665 () (not @t389)) % 54.75/54.94 (define @t1666 () (@list @t427 @t274 @t26 @t181 @t289)) % 54.75/54.94 (define @t1667 () (tptp.hAPP (tptp.hAPP @t1466 @t1626) @t1634)) % 54.75/54.94 (define @t1668 () (tptp.hAPP @t956 @t1667)) % 54.75/54.94 (define @t1669 () (tptp.hAPP @t956 @t754)) % 54.75/54.94 (define @t1670 () (tptp.hBOOL (tptp.hAPP @t1669 @t274))) % 54.75/54.94 (define @t1671 () (@var "V_v_2" $$unsorted)) % 54.75/54.94 (define @t1672 () (tptp.hAPP @t1617 @t1671)) % 54.75/54.94 (define @t1673 () (tptp.hAPP @t479 @t1618)) % 54.75/54.94 (define @t1674 () (@list @t629 @t1671 @t14)) % 54.75/54.94 (define @t1675 () (tptp.hAPP @t1617 @t953)) % 54.75/54.94 (define @t1676 () (tptp.hAPP @t761 @t1675)) % 54.75/54.94 (define @t1677 () (tptp.hAPP @t1676 @t26)) % 54.75/54.94 (define @t1678 () (tptp.hAPP @t1676 @t274)) % 54.75/54.94 (define @t1679 () (and @t1619 (tptp.class_Rings_Osemiring @t14))) % 54.75/54.94 (define @t1680 () (@list @t26 @t274 @t953 @t14)) % 54.75/54.94 (define @t1681 () (tptp.hAPP (tptp.hAPP @t761 @t274) @t1675)) % 54.75/54.94 (define @t1682 () (tptp.hAPP (tptp.hAPP @t761 @t181) @t1675)) % 54.75/54.94 (define @t1683 () (@list @t953 @t274 @t181 @t14)) % 54.75/54.94 (define @t1684 () (tptp.hAPP @t1642 (tptp.hAPP tptp.c_Nat_OSuc @t1190))) % 54.75/54.94 (define @t1685 () (@list @t1190 @t288 @t289)) % 54.75/54.94 (define @t1686 () (tptp.hAPP @t865 @t1643)) % 54.75/54.94 (define @t1687 () (and @t1619 @t1518)) % 54.75/54.94 (define @t1688 () (tptp.hAPP @t1025 @t1621)) % 54.75/54.94 (define @t1689 () (and @t1623 @t562)) % 54.75/54.94 (define @t1690 () (tptp.hAPP @t479 @t1621)) % 54.75/54.94 (define @t1691 () (tptp.hAPP @t630 @t953)) % 54.75/54.94 (define @t1692 () (tptp.hAPP @t1691 @t679)) % 54.75/54.94 (define @t1693 () (tptp.hAPP @t1611 @t1692)) % 54.75/54.94 (define @t1694 () (tptp.hAPP @t1611 @t679)) % 54.75/54.94 (define @t1695 () (tptp.hAPP @t319 @t1612)) % 54.75/54.94 (define @t1696 () (@list @t365 @t679 @t953 @t289)) % 54.75/54.94 (define @t1697 () (tptp.hAPP @t1695 @t1694)) % 54.75/54.94 (define @t1698 () (@list @t679 @t953 @t289)) % 54.75/54.94 (define @t1699 () (tptp.hAPP @t1649 @t76)) % 54.75/54.94 (define @t1700 () (tptp.hAPP @t739 @t1612)) % 54.75/54.94 (define @t1701 () (tptp.hAPP @t1700 @t1694)) % 54.75/54.94 (define @t1702 () (tptp.hAPP @t723 @t953)) % 54.75/54.94 (define @t1703 () (tptp.hAPP @t1702 @t679)) % 54.75/54.94 (define @t1704 () (tptp.hAPP @t1611 @t1703)) % 54.75/54.94 (define @t1705 () (tptp.hAPP (tptp.hAPP @t723 @t306) @t76)) % 54.75/54.94 (define @t1706 () (tptp.hAPP @t1466 @t1612)) % 54.75/54.94 (define @t1707 () (tptp.hAPP @t1706 @t1694)) % 54.75/54.94 (define @t1708 () (tptp.hAPP @t1611 @t871)) % 54.75/54.94 (define @t1709 () (tptp.hAPP @t748 @t1694)) % 54.75/54.94 (define @t1710 () (@list @t679 @t289)) % 54.75/54.94 (define @t1711 () (tptp.hAPP @t1625 @t359)) % 54.75/54.94 (define @t1712 () (tptp.hAPP @t1625 @t288)) % 54.75/54.94 (define @t1713 () (= @t1626 @t754)) % 54.75/54.94 (define @t1714 () (=> @t550 @t1713)) % 54.75/54.94 (define @t1715 () (tptp.hAPP @t1598 @t57)) % 54.75/54.94 (define @t1716 () (tptp.hAPP @t1598 @t510)) % 54.75/54.94 (define @t1717 () (tptp.hBOOL (tptp.hAPP @t697 @t624))) % 54.75/54.94 (define @t1718 () (tptp.hAPP @t1691 @t871)) % 54.75/54.94 (define @t1719 () (tptp.hAPP @t1611 @t1718)) % 54.75/54.94 (define @t1720 () (tptp.hAPP @t1609 @t274)) % 54.75/54.94 (define @t1721 () (tptp.hAPP @t1720 @t76)) % 54.75/54.94 (define @t1722 () (tptp.hAPP @t1609 @t181)) % 54.75/54.94 (define @t1723 () (tptp.hAPP @t1722 @t76)) % 54.75/54.94 (define @t1724 () (tptp.hAPP @t487 @t1723)) % 54.75/54.94 (define @t1725 () (tptp.hBOOL (tptp.hAPP @t1724 @t1721))) % 54.75/54.94 (define @t1726 () (@list @t76 @t274 @t181 @t289)) % 54.75/54.94 (define @t1727 () (tptp.hBOOL (tptp.hAPP @t747 @t181))) % 54.75/54.94 (define @t1728 () (@list @t76 @t181 @t289)) % 54.75/54.94 (define @t1729 () (tptp.hAPP @t1722 @t306)) % 54.75/54.94 (define @t1730 () (@list @t76 @t306 @t181 @t289)) % 54.75/54.94 (define @t1731 () (tptp.c_Power_Opower__class_Opower @t14)) % 54.75/54.94 (define @t1732 () (tptp.hAPP @t1731 @t52)) % 54.75/54.94 (define @t1733 () (tptp.hAPP @t1732 @t659)) % 54.75/54.94 (define @t1734 () (tptp.hAPP @t1732 @t16)) % 54.75/54.94 (define @t1735 () (tptp.hAPP @t479 @t757)) % 54.75/54.94 (define @t1736 () (tptp.hBOOL (tptp.hAPP @t1735 @t52))) % 54.75/54.94 (define @t1737 () (@list @t659 @t16 @t52 @t14)) % 54.75/54.94 (define @t1738 () (@var "V_N" $$unsorted)) % 54.75/54.94 (define @t1739 () (tptp.hAPP @t1722 @t1738)) % 54.75/54.94 (define @t1740 () (tptp.hBOOL (tptp.hAPP @t1084 @t1738))) % 54.75/54.94 (define @t1741 () (@list @t181 @t1738 @t76 @t289)) % 54.75/54.94 (define @t1742 () (tptp.hBOOL (tptp.hAPP @t490 @t736))) % 54.75/54.94 (define @t1743 () (tptp.hBOOL (tptp.hAPP @t456 @t1738))) % 54.75/54.94 (define @t1744 () (tptp.hAPP @t1722 @t254)) % 54.75/54.94 (define @t1745 () (tptp.hBOOL (tptp.hAPP @t1410 @t1525))) % 54.75/54.94 (define @t1746 () (tptp.hAPP @t1613 @t1525)) % 54.75/54.94 (define @t1747 () (tptp.hAPP @t1613 @t349)) % 54.75/54.94 (define @t1748 () (tptp.hAPP @t1613 @t679)) % 54.75/54.94 (define @t1749 () (tptp.hAPP @t630 @t1614)) % 54.75/54.94 (define @t1750 () (@list @t679 @t953)) % 54.75/54.94 (define @t1751 () (tptp.hAPP @t726 @t1748)) % 54.75/54.94 (define @t1752 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t1753 () (tptp.hAPP @t1752 @t16)) % 54.75/54.94 (define @t1754 () (tptp.hAPP @t1752 @t510)) % 54.75/54.94 (define @t1755 () (tptp.hAPP @t1754 @t76)) % 54.75/54.94 (define @t1756 () (tptp.hAPP @t1754 @t306)) % 54.75/54.94 (define @t1757 () (@list @t76 @t306 @t510)) % 54.75/54.94 (define @t1758 () (tptp.hAPP @t1604 @t679)) % 54.75/54.94 (define @t1759 () (tptp.hAPP (tptp.hAPP @t1752 @t306) @t76)) % 54.75/54.94 (define @t1760 () (tptp.hAPP @t625 @t1759)) % 54.75/54.94 (define @t1761 () (tptp.hAPP (tptp.hAPP @t1595 @t640) @t76)) % 54.75/54.94 (define @t1762 () (tptp.hAPP @t1752 @t1645)) % 54.75/54.94 (define @t1763 () (tptp.hAPP @t1762 @t306)) % 54.75/54.94 (define @t1764 () (tptp.hAPP @t1613 @t1671)) % 54.75/54.94 (define @t1765 () (@list @t76 @t365)) % 54.75/54.94 (define @t1766 () (tptp.hAPP @t739 @t1723)) % 54.75/54.94 (define @t1767 () (tptp.hAPP @t744 @t1723)) % 54.75/54.94 (define @t1768 () (tptp.hAPP @t1766 @t181)) % 54.75/54.94 (define @t1769 () (tptp.hAPP @t1609 @t736)) % 54.75/54.94 (define @t1770 () (@var "V_v_H" $$unsorted)) % 54.75/54.94 (define @t1771 () (tptp.hAPP @t1613 @t1770)) % 54.75/54.94 (define @t1772 () (tptp.hAPP @t1333 @t734)) % 54.75/54.94 (define @t1773 () (tptp.hAPP @t1604 @t1770)) % 54.75/54.94 (define @t1774 () (@list @t1770)) % 54.75/54.94 (define @t1775 () (tptp.hAPP @t1609 @t1626)) % 54.75/54.94 (define @t1776 () (tptp.hAPP @t1775 @t76)) % 54.75/54.94 (define @t1777 () (tptp.hAPP @t1625 @t1723)) % 54.75/54.94 (define @t1778 () (tptp.hAPP @t956 @t1723)) % 54.75/54.94 (define @t1779 () (tptp.hAPP @t1731 @t54)) % 54.75/54.94 (define @t1780 () (tptp.hAPP @t1779 @t102)) % 54.75/54.94 (define @t1781 () (tptp.class_Power_Opower @t14)) % 54.75/54.94 (define @t1782 () (@list @t102 @t54 @t14)) % 54.75/54.94 (define @t1783 () (tptp.hBOOL (tptp.hAPP @t1132 @t181))) % 54.75/54.94 (define @t1784 () (tptp.hAPP @t1609 @t384)) % 54.75/54.94 (define @t1785 () (tptp.class_Power_Opower @t289)) % 54.75/54.94 (define @t1786 () (and @t1785 (tptp.class_Rings_Osemiring__0 @t289))) % 54.75/54.94 (define @t1787 () (tptp.hAPP @t1609 @t754)) % 54.75/54.94 (define @t1788 () (tptp.hAPP @t1787 @t76)) % 54.75/54.94 (define @t1789 () (@list @t274 @t76 @t181 @t289)) % 54.75/54.94 (define @t1790 () (tptp.hAPP @t1720 @t254)) % 54.75/54.94 (define @t1791 () (tptp.hAPP @t1784 @t76)) % 54.75/54.94 (define @t1792 () (tptp.hAPP @t1609 @t774)) % 54.75/54.94 (define @t1793 () (tptp.hAPP @t1598 @t367)) % 54.75/54.94 (define @t1794 () (tptp.hAPP tptp.c_Int_Onat @t1793)) % 54.75/54.94 (define @t1795 () (tptp.hAPP tptp.c_Int_Onat @t1628)) % 54.75/54.94 (define @t1796 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t315 @t1773)) % 54.75/54.94 (define @t1797 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1771))) % 54.75/54.94 (define @t1798 () (not @t1797)) % 54.75/54.94 (define @t1799 () (@list @t14)) % 54.75/54.94 (define @t1800 () (tptp.hAPP @t1333 @t1614)) % 54.75/54.94 (define @t1801 () (tptp.hAPP (tptp.hAPP @t1343 @t1605) @t1773)) % 54.75/54.94 (define @t1802 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1614))) % 54.75/54.94 (define @t1803 () (not @t1802)) % 54.75/54.94 (define @t1804 () (@list @t1770 @t953)) % 54.75/54.94 (define @t1805 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1605 @t1773)) % 54.75/54.94 (define @t1806 () (@list @t16)) % 54.75/54.94 (define @t1807 () (@var "V_Z_2" $$unsorted)) % 54.75/54.94 (define @t1808 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t365))) % 54.75/54.94 (define @t1809 () (@var "V_one_2" $$unsorted)) % 54.75/54.94 (define @t1810 () (@var "V_times_2" $$unsorted)) % 54.75/54.94 (define @t1811 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t14 @t1809 @t1810) @t54)) % 54.75/54.94 (define @t1812 () (= @t1605 @t19)) % 54.75/54.94 (define @t1813 () (@var "V_v_H_2" $$unsorted)) % 54.75/54.94 (define @t1814 () (tptp.hAPP @t1613 @t1813)) % 54.75/54.94 (define @t1815 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1814))) % 54.75/54.94 (define @t1816 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1764))) % 54.75/54.94 (define @t1817 () (tptp.hAPP @t1604 @t1813)) % 54.75/54.94 (define @t1818 () (tptp.hAPP @t1604 @t1671)) % 54.75/54.94 (define @t1819 () (@list @t1813 @t1671)) % 54.75/54.94 (define @t1820 () (tptp.hAPP @t1604 (tptp.hAPP @t1691 @t1770))) % 54.75/54.94 (define @t1821 () (tptp.hAPP (tptp.hAPP @t316 @t1773) @t359)) % 54.75/54.94 (define @t1822 () (tptp.hAPP @t316 @t1605)) % 54.75/54.94 (define @t1823 () (tptp.hAPP @t1822 @t1821)) % 54.75/54.94 (define @t1824 () (@list @t359 @t1770 @t953)) % 54.75/54.94 (define @t1825 () (tptp.hAPP @t625 @t1605)) % 54.75/54.94 (define @t1826 () (tptp.hAPP @t1595 @t1614)) % 54.75/54.94 (define @t1827 () (tptp.hAPP @t1752 @t1605)) % 54.75/54.94 (define @t1828 () (tptp.hAPP @t1827 @t1758)) % 54.75/54.94 (define @t1829 () (tptp.hAPP @t1752 @t19)) % 54.75/54.94 (define @t1830 () (tptp.hAPP @t1827 @t76)) % 54.75/54.94 (define @t1831 () (@list @t76 @t953)) % 54.75/54.94 (define @t1832 () (tptp.hAPP @t1604 (tptp.c_Int_Osucc @t953))) % 54.75/54.94 (define @t1833 () (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1822 @t76))) % 54.75/54.94 (define @t1834 () (tptp.hAPP tptp.c_Nat_OSuc @t1605)) % 54.75/54.94 (define @t1835 () (tptp.hAPP @t1585 @t734)) % 54.75/54.94 (define @t1836 () (tptp.hAPP @t1613 tptp.c_Int_OMin)) % 54.75/54.94 (define @t1837 () (tptp.hAPP @t2 @t1231)) % 54.75/54.94 (define @t1838 () (= @t1837 @t349)) % 54.75/54.94 (define @t1839 () (tptp.hBOOL (tptp.hAPP @t1234 @t102))) % 54.75/54.94 (define @t1840 () (tptp.hBOOL (tptp.hAPP @t1410 @t652))) % 54.75/54.94 (define @t1841 () (tptp.hAPP @t2 @t19)) % 54.75/54.94 (define @t1842 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP @t1598 (tptp.hAPP (tptp.hAPP @t1440 (tptp.hAPP @t2 (tptp.hAPP (tptp.hAPP @t316 @t1231) @t821))) @t1837))) @t734))) % 54.75/54.94 (define @t1843 () (tptp.hBOOL (tptp.hAPP @t1603 @t102))) % 54.75/54.94 (define @t1844 () (tptp.hAPP @t726 @t659)) % 54.75/54.94 (define @t1845 () (tptp.hAPP @t630 @t16)) % 54.75/54.94 (define @t1846 () (tptp.c_Int_Osucc @t359)) % 54.75/54.94 (define @t1847 () (tptp.hAPP @t1440 @t359)) % 54.75/54.94 (define @t1848 () (tptp.hAPP @t1611 tptp.c_Int_OMin)) % 54.75/54.94 (define @t1849 () (tptp.hAPP @t948 tptp.c_Int_OMin)) % 54.75/54.94 (define @t1850 () (tptp.hAPP @t632 tptp.c_Int_OMin)) % 54.75/54.94 (define @t1851 () (= @t57 @t15)) % 54.75/54.94 (define @t1852 () (tptp.hAPP @t748 @t365)) % 54.75/54.94 (define @t1853 () (tptp.hAPP @t739 @t365)) % 54.75/54.94 (define @t1854 () (tptp.hAPP @t1609 @t1848)) % 54.75/54.94 (define @t1855 () (tptp.hAPP @t1822 @t821)) % 54.75/54.94 (define @t1856 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t953) tptp.c_Int_OPls))) % 54.75/54.94 (define @t1857 () (not @t1856)) % 54.75/54.94 (define @t1858 () (tptp.hAPP @t1137 @t1605)) % 54.75/54.94 (define @t1859 () (tptp.hAPP @t630 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1860 () (@list @t659 @t14)) % 54.75/54.94 (define @t1861 () (tptp.hAPP @t726 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1862 () (= @t1818 @t19)) % 54.75/54.94 (define @t1863 () (tptp.hAPP @t1613 (tptp.c_Int_Opred @t1671))) % 54.75/54.94 (define @t1864 () (@list @t1671)) % 54.75/54.94 (define @t1865 () (tptp.hAPP @t1604 (tptp.hAPP @t1702 @t1770))) % 54.75/54.94 (define @t1866 () (tptp.hAPP @t818 @t1605)) % 54.75/54.94 (define @t1867 () (tptp.hAPP @t1866 (tptp.hAPP (tptp.hAPP @t818 @t1773) @t359))) % 54.75/54.94 (define @t1868 () (tptp.hAPP @t1866 @t1773)) % 54.75/54.94 (define @t1869 () (tptp.hAPP @t948 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1870 () (tptp.hAPP @t632 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1871 () (tptp.hAPP @t1611 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1872 () (tptp.hAPP @t1604 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1873 () (tptp.hAPP @t1613 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1874 () (tptp.hAPP @t1604 (tptp.c_Int_Opred @t953))) % 54.75/54.94 (define @t1875 () (tptp.c_Int_Opred @t359)) % 54.75/54.94 (define @t1876 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t953) tptp.c_Int_OPls))) % 54.75/54.94 (define @t1877 () (tptp.hAPP @t948 @t1671)) % 54.75/54.94 (define @t1878 () (tptp.hBOOL (tptp.hAPP @t1877 tptp.c_Int_OPls))) % 54.75/54.94 (define @t1879 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1671) @t1813))) % 54.75/54.94 (define @t1880 () (tptp.hAPP @t448 @t1818)) % 54.75/54.94 (define @t1881 () (tptp.hAPP @t963 @t1818)) % 54.75/54.94 (define @t1882 () (tptp.hAPP @t1822 @t1773)) % 54.75/54.94 (define @t1883 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1770) tptp.c_Int_OPls))) % 54.75/54.94 (define @t1884 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1885 () (tptp.hAPP @t630 @t1884)) % 54.75/54.94 (define @t1886 () (tptp.hAPP @t726 @t1884)) % 54.75/54.94 (define @t1887 () (tptp.c_Int_OBit1 @t1884)) % 54.75/54.94 (define @t1888 () (tptp.hAPP @t1604 @t1887)) % 54.75/54.94 (define @t1889 () (tptp.hAPP @t316 @t1888)) % 54.75/54.94 (define @t1890 () (tptp.hAPP @t1889 @t76)) % 54.75/54.94 (define @t1891 () (tptp.hAPP tptp.c_Nat_OSuc @t254)) % 54.75/54.94 (define @t1892 () (tptp.hAPP tptp.c_Nat_OSuc @t1891)) % 54.75/54.94 (define @t1893 () (tptp.hAPP @t1889 @t306)) % 54.75/54.94 (define @t1894 () (tptp.hAPP @t1343 @t1893)) % 54.75/54.94 (define @t1895 () (tptp.hAPP tptp.c_Nat_OSuc @t307)) % 54.75/54.94 (define @t1896 () (tptp.hAPP tptp.c_Nat_OSuc @t1895)) % 54.75/54.94 (define @t1897 () (tptp.hAPP @t1343 @t1896)) % 54.75/54.94 (define @t1898 () (= @t349 @t1525)) % 54.75/54.94 (define @t1899 () (tptp.c_Int_OBit1 @t1525)) % 54.75/54.94 (define @t1900 () (tptp.c_Int_OBit1 @t349)) % 54.75/54.94 (define @t1901 () (@var "V_k2_2" $$unsorted)) % 54.75/54.94 (define @t1902 () (@var "V_k1_2" $$unsorted)) % 54.75/54.94 (define @t1903 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1902) @t1901))) % 54.75/54.94 (define @t1904 () (tptp.c_Int_OBit1 @t1901)) % 54.75/54.94 (define @t1905 () (tptp.c_Int_OBit1 @t1902)) % 54.75/54.94 (define @t1906 () (tptp.hAPP @t948 @t1905)) % 54.75/54.94 (define @t1907 () (@list @t1901 @t1902)) % 54.75/54.94 (define @t1908 () (tptp.hAPP @t948 @t1900)) % 54.75/54.94 (define @t1909 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1902) @t1901))) % 54.75/54.94 (define @t1910 () (tptp.hAPP @t632 @t1905)) % 54.75/54.94 (define @t1911 () (tptp.hAPP @t632 @t1900)) % 54.75/54.94 (define @t1912 () (tptp.c_Int_OBit1 @t359)) % 54.75/54.94 (define @t1913 () (tptp.c_Int_OBit1 @t531)) % 54.75/54.94 (define @t1914 () (@list @t531)) % 54.75/54.94 (define @t1915 () (@list @t349)) % 54.75/54.94 (define @t1916 () (@list @t1525)) % 54.75/54.94 (define @t1917 () (tptp.hBOOL (tptp.hAPP @t633 @t624))) % 54.75/54.94 (define @t1918 () (tptp.c_Int_OBit1 @t629)) % 54.75/54.94 (define @t1919 () (@list @t629)) % 54.75/54.94 (define @t1920 () (tptp.hBOOL (tptp.hAPP @t1869 @t349))) % 54.75/54.94 (define @t1921 () (tptp.hBOOL (tptp.hAPP @t1241 tptp.c_Int_OPls))) % 54.75/54.94 (define @t1922 () (tptp.hBOOL (tptp.hAPP @t1410 tptp.c_Int_OMin))) % 54.75/54.94 (define @t1923 () (tptp.hBOOL (tptp.hAPP @t1850 @t349))) % 54.75/54.94 (define @t1924 () (tptp.hAPP @t1613 @t629)) % 54.75/54.94 (define @t1925 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1924))) % 54.75/54.94 (define @t1926 () (tptp.hAPP @t1611 (tptp.c_Int_OBit1 @t679))) % 54.75/54.94 (define @t1927 () (tptp.hAPP @t737 @t1694)) % 54.75/54.94 (define @t1928 () (tptp.hAPP @t1611 @t1884)) % 54.75/54.94 (define @t1929 () (tptp.hAPP @t1604 @t1884)) % 54.75/54.94 (define @t1930 () (tptp.hAPP @t1440 tptp.c_Int_OMin)) % 54.75/54.94 (define @t1931 () (tptp.hAPP @t1930 @t531)) % 54.75/54.94 (define @t1932 () (tptp.c_Int_OBit1 @t1931)) % 54.75/54.94 (define @t1933 () (tptp.hAPP @t1440 tptp.c_Int_OPls)) % 54.75/54.94 (define @t1934 () (tptp.hAPP tptp.c_Nat_OSuc @t315)) % 54.75/54.94 (define @t1935 () (tptp.hAPP @t1613 @t1887)) % 54.75/54.94 (define @t1936 () (@list @t953 @t306)) % 54.75/54.94 (define @t1937 () (tptp.hAPP (tptp.hAPP @t630 @t274) @t734)) % 54.75/54.94 (define @t1938 () (tptp.c_Int_OBit0 @t1884)) % 54.75/54.94 (define @t1939 () (tptp.hAPP @t1613 @t1938)) % 54.75/54.94 (define @t1940 () (tptp.hAPP @t723 @t1939)) % 54.75/54.94 (define @t1941 () (tptp.hAPP @t1940 @t181)) % 54.75/54.94 (define @t1942 () (tptp.hAPP @t1940 @t274)) % 54.75/54.94 (define @t1943 () (tptp.hAPP @t735 @t1942)) % 54.75/54.94 (define @t1944 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1943 @t1941)) % 54.75/54.94 (define @t1945 () (tptp.hAPP @t1749 @t734)) % 54.75/54.94 (define @t1946 () (tptp.c_Int_OBit0 @t679)) % 54.75/54.94 (define @t1947 () (tptp.hAPP @t1613 @t1946)) % 54.75/54.94 (define @t1948 () (tptp.hAPP @t1613 (tptp.c_Int_OBit1 @t953))) % 54.75/54.94 (define @t1949 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1948 @t1947)) % 54.75/54.94 (define @t1950 () (tptp.hBOOL (tptp.hAPP @t949 @t1748))) % 54.75/54.94 (define @t1951 () (not @t1950)) % 54.75/54.94 (define @t1952 () (tptp.hAPP @t1940 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1614 @t1748))) % 54.75/54.94 (define @t1953 () (@list @t953 @t679)) % 54.75/54.94 (define @t1954 () (tptp.hAPP (tptp.hAPP @t1333 @t1943) @t1941)) % 54.75/54.94 (define @t1955 () (tptp.hAPP @t643 @t1100)) % 54.75/54.94 (define @t1956 () (tptp.c_Int_OBit0 @t1525)) % 54.75/54.94 (define @t1957 () (tptp.c_Int_OBit0 @t349)) % 54.75/54.94 (define @t1958 () (tptp.hAPP @t948 @t1957)) % 54.75/54.94 (define @t1959 () (tptp.c_Int_OBit0 @t1901)) % 54.75/54.94 (define @t1960 () (tptp.c_Int_OBit0 @t1902)) % 54.75/54.94 (define @t1961 () (tptp.hAPP @t948 @t1960)) % 54.75/54.94 (define @t1962 () (tptp.hAPP @t632 @t1957)) % 54.75/54.94 (define @t1963 () (tptp.hAPP @t632 @t1960)) % 54.75/54.94 (define @t1964 () (tptp.c_Int_OBit0 @t359)) % 54.75/54.94 (define @t1965 () (tptp.c_Int_OBit0 @t531)) % 54.75/54.94 (define @t1966 () (tptp.hAPP @t1091 @t531)) % 54.75/54.94 (define @t1967 () (tptp.hAPP @t630 @t1964)) % 54.75/54.94 (define @t1968 () (tptp.c_Int_OBit0 (tptp.hAPP @t917 @t531))) % 54.75/54.94 (define @t1969 () (tptp.hAPP @t1847 @t531)) % 54.75/54.94 (define @t1970 () (tptp.c_Int_OBit0 @t1969)) % 54.75/54.94 (define @t1971 () (tptp.hAPP @t1440 @t1964)) % 54.75/54.94 (define @t1972 () (tptp.c_Int_OBit0 @t629)) % 54.75/54.94 (define @t1973 () (tptp.c_Int_OBit1 @t1966)) % 54.75/54.94 (define @t1974 () (tptp.hAPP @t630 @t1912)) % 54.75/54.94 (define @t1975 () (tptp.hAPP @t1440 @t1912)) % 54.75/54.94 (define @t1976 () (tptp.hAPP @t1800 @t1748)) % 54.75/54.94 (define @t1977 () (tptp.hAPP @t1613 (tptp.c_Int_OBit0 @t953))) % 54.75/54.94 (define @t1978 () (@list @t629 @t14)) % 54.75/54.94 (define @t1979 () (tptp.hAPP @t1611 @t1946)) % 54.75/54.94 (define @t1980 () (tptp.hAPP @t1613 @t76)) % 54.75/54.94 (define @t1981 () (tptp.hAPP @t319 @t365)) % 54.75/54.94 (define @t1982 () (tptp.hAPP @t1981 @t365)) % 54.75/54.94 (define @t1983 () (tptp.hAPP @t1611 @t1938)) % 54.75/54.94 (define @t1984 () (tptp.hAPP @t739 @t1983)) % 54.75/54.94 (define @t1985 () (tptp.hAPP @t1604 @t1938)) % 54.75/54.94 (define @t1986 () (tptp.hAPP @t1779 @t1985)) % 54.75/54.94 (define @t1987 () (tptp.hAPP @t1642 @t1985)) % 54.75/54.94 (define @t1988 () (tptp.hAPP @t1722 @t1985)) % 54.75/54.94 (define @t1989 () (tptp.hAPP (tptp.hAPP @t316 @t365) @t365)) % 54.75/54.94 (define @t1990 () (tptp.hAPP @t818 @t1985)) % 54.75/54.94 (define @t1991 () (tptp.hAPP (tptp.hAPP @t1609 @t1723) @t1985)) % 54.75/54.94 (define @t1992 () (tptp.hAPP @t1990 @t76)) % 54.75/54.94 (define @t1993 () (tptp.hAPP @t1722 @t1992)) % 54.75/54.94 (define @t1994 () (tptp.hAPP tptp.c_Int_Onat @t1939)) % 54.75/54.94 (define @t1995 () (tptp.hAPP @t1641 @t1985)) % 54.75/54.94 (define @t1996 () (tptp.hAPP @t1731 @t16)) % 54.75/54.94 (define @t1997 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t1996 @t1985)) (tptp.hAPP (tptp.hAPP @t1731 @t659) @t1985))) % 54.75/54.94 (define @t1998 () (tptp.hAPP @t1617 @t679)) % 54.75/54.94 (define @t1999 () (tptp.hAPP @t1642 @t76)) % 54.75/54.94 (define @t2000 () (tptp.hAPP (tptp.hAPP @t739 @t1999) @t1999)) % 54.75/54.94 (define @t2001 () (@list @t76 @t288 @t289)) % 54.75/54.94 (define @t2002 () (tptp.hAPP (tptp.hAPP @t319 @t1987) @t1995)) % 54.75/54.94 (define @t2003 () (tptp.hAPP (tptp.hAPP @t739 (tptp.hAPP @t1984 @t288)) @t367)) % 54.75/54.94 (define @t2004 () (tptp.hAPP @t1522 @t367)) % 54.75/54.94 (define @t2005 () (tptp.hAPP tptp.c_Nat_OSuc @t1992)) % 54.75/54.94 (define @t2006 () (tptp.hAPP @t1722 @t2005)) % 54.75/54.94 (define @t2007 () (tptp.hAPP (tptp.hAPP @t1333 @t1948) @t1947)) % 54.75/54.94 (define @t2008 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t347 @t1985)) % 54.75/54.94 (define @t2009 () (@list @t347)) % 54.75/54.94 (define @t2010 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2011 () (tptp.hAPP @t2010 @t1938)) % 54.75/54.94 (define @t2012 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2013 () (tptp.hAPP @t1940 (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP @t2012 @t359) @t2011)))) % 54.75/54.94 (define @t2014 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t359)) % 54.75/54.94 (define @t2015 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2016 () (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t359 @t2011) @t2015)) % 54.75/54.94 (define @t2017 () (= @t359 @t2015)) % 54.75/54.94 (define @t2018 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2019 () (tptp.c_Rings_Oinverse__class_Odivide @t289)) % 54.75/54.94 (define @t2020 () (@var "V_r_2" $$unsorted)) % 54.75/54.94 (define @t2021 () (tptp.c_Rings_Oinverse__class_Odivide @t14)) % 54.75/54.94 (define @t2022 () (tptp.class_Fields_Olinordered__field__inverse__zero @t14)) % 54.75/54.94 (define @t2023 () (@list @t2020 @t14)) % 54.75/54.94 (define @t2024 () (tptp.hBOOL (tptp.hAPP @t967 @t1231))) % 54.75/54.94 (define @t2025 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2026 () (tptp.hAPP @t2019 @t181)) % 54.75/54.94 (define @t2027 () (tptp.class_Rings_Odivision__ring__inverse__zero @t289)) % 54.75/54.94 (define @t2028 () (tptp.class_Rings_Odivision__ring @t289)) % 54.75/54.94 (define @t2029 () (tptp.hAPP (tptp.hAPP @t2019 @t274) @t26)) % 54.75/54.94 (define @t2030 () (tptp.hAPP @t2026 @t26)) % 54.75/54.94 (define @t2031 () (tptp.hAPP @t2019 @t323)) % 54.75/54.94 (define @t2032 () (tptp.hAPP @t2019 @t288)) % 54.75/54.94 (define @t2033 () (tptp.hAPP @t2032 @t367)) % 54.75/54.94 (define @t2034 () (tptp.class_Fields_Ofield__inverse__zero @t289)) % 54.75/54.94 (define @t2035 () (tptp.hAPP @t2026 @t274)) % 54.75/54.94 (define @t2036 () (tptp.hAPP @t748 @t2035)) % 54.75/54.94 (define @t2037 () (= @t2036 (tptp.hAPP @t2026 @t749))) % 54.75/54.94 (define @t2038 () (tptp.hAPP @t2019 @t754)) % 54.75/54.94 (define @t2039 () (= (tptp.hAPP @t2038 @t749) @t2035)) % 54.75/54.94 (define @t2040 () (= (tptp.hAPP (tptp.hAPP @t1609 @t2035) @t76) (tptp.hAPP (tptp.hAPP @t2019 @t1723) @t1721))) % 54.75/54.94 (define @t2041 () (= (tptp.hAPP @t1625 @t2035) (tptp.hAPP (tptp.hAPP @t2019 @t1626) @t1634))) % 54.75/54.94 (define @t2042 () (tptp.c_Nat__Transfer_Ois__nat @t367)) % 54.75/54.94 (define @t2043 () (tptp.c_Nat__Transfer_Ois__nat @t288)) % 54.75/54.94 (define @t2044 () (tptp.hAPP (tptp.hAPP @t2021 @t54) @t52)) % 54.75/54.94 (define @t2045 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2030) @t2029))) % 54.75/54.94 (define @t2046 () (tptp.class_Fields_Olinordered__field @t289)) % 54.75/54.94 (define @t2047 () (tptp.hBOOL (tptp.hAPP @t553 @t2033))) % 54.75/54.94 (define @t2048 () (tptp.hBOOL (tptp.hAPP @t598 @t384))) % 54.75/54.94 (define @t2049 () (tptp.hBOOL (tptp.hAPP @t600 @t384))) % 54.75/54.94 (define @t2050 () (tptp.hAPP @t487 @t2033)) % 54.75/54.94 (define @t2051 () (tptp.hBOOL (tptp.hAPP @t2050 @t384))) % 54.75/54.94 (define @t2052 () (tptp.hBOOL (tptp.hAPP @t553 @t367))) % 54.75/54.94 (define @t2053 () (tptp.hBOOL (tptp.hAPP @t560 @t52))) % 54.75/54.94 (define @t2054 () (tptp.hBOOL (tptp.hAPP @t831 @t15))) % 54.75/54.94 (define @t2055 () (= @t51 @t15)) % 54.75/54.94 (define @t2056 () (=> @t2055 @t389)) % 54.75/54.94 (define @t2057 () (= @t861 @t52)) % 54.75/54.94 (define @t2058 () (not @t2055)) % 54.75/54.94 (define @t2059 () (tptp.hAPP @t2021 @t52)) % 54.75/54.94 (define @t2060 () (tptp.hAPP @t2059 @t51)) % 54.75/54.94 (define @t2061 () (= @t54 @t2060)) % 54.75/54.94 (define @t2062 () (tptp.class_Fields_Ofield__inverse__zero @t14)) % 54.75/54.94 (define @t2063 () (= @t52 @t861)) % 54.75/54.94 (define @t2064 () (= @t2060 @t54)) % 54.75/54.94 (define @t2065 () (@list @t54 @t51 @t52 @t14)) % 54.75/54.94 (define @t2066 () (tptp.class_Fields_Ofield @t14)) % 54.75/54.94 (define @t2067 () (tptp.class_Rings_Odivision__ring @t14)) % 54.75/54.94 (define @t2068 () (@list @t54 @t52 @t51 @t14)) % 54.75/54.94 (define @t2069 () (tptp.hAPP @t2026 @t181)) % 54.75/54.94 (define @t2070 () (=> @t848 (= @t2069 @t736))) % 54.75/54.94 (define @t2071 () (tptp.class_Fields_Ofield @t289)) % 54.75/54.94 (define @t2072 () (tptp.hAPP @t2019 @t736)) % 54.75/54.94 (define @t2073 () (tptp.hBOOL (tptp.hAPP @t957 @t2033))) % 54.75/54.94 (define @t2074 () (tptp.hBOOL (tptp.hAPP @t962 @t384))) % 54.75/54.94 (define @t2075 () (tptp.hAPP @t956 @t2033)) % 54.75/54.94 (define @t2076 () (tptp.hBOOL (tptp.hAPP @t2075 @t384))) % 54.75/54.94 (define @t2077 () (tptp.hAPP @t2019 @t367)) % 54.75/54.94 (define @t2078 () (tptp.hAPP @t2077 @t679)) % 54.75/54.94 (define @t2079 () (tptp.hAPP @t2032 @t365)) % 54.75/54.94 (define @t2080 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t679) @t365))) % 54.75/54.94 (define @t2081 () (tptp.hBOOL (tptp.hAPP @t553 @t679))) % 54.75/54.94 (define @t2082 () (@list @t365 @t679 @t367 @t288 @t289)) % 54.75/54.94 (define @t2083 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2079) @t2078))) % 54.75/54.94 (define @t2084 () (tptp.hAPP @t2019 @t26)) % 54.75/54.94 (define @t2085 () (tptp.hAPP @t2084 @t274)) % 54.75/54.94 (define @t2086 () (tptp.hAPP @t2084 @t181)) % 54.75/54.94 (define @t2087 () (=> @t897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2086) @t2085)))) % 54.75/54.94 (define @t2088 () (tptp.hBOOL (tptp.hAPP @t891 @t52))) % 54.75/54.94 (define @t2089 () (tptp.hAPP @t479 @t2060)) % 54.75/54.94 (define @t2090 () (tptp.hBOOL (tptp.hAPP @t2089 @t54))) % 54.75/54.94 (define @t2091 () (tptp.class_Fields_Olinordered__field @t14)) % 54.75/54.94 (define @t2092 () (tptp.hBOOL (tptp.hAPP @t831 @t861))) % 54.75/54.94 (define @t2093 () (tptp.hBOOL (tptp.hAPP @t480 @t2060))) % 54.75/54.94 (define @t2094 () (tptp.hAPP @t1853 @t367)) % 54.75/54.94 (define @t2095 () (@list @t288 @t365 @t367 @t289)) % 54.75/54.94 (define @t2096 () (not @t888)) % 54.75/54.94 (define @t2097 () (not @t889)) % 54.75/54.94 (define @t2098 () (tptp.c_Nat__Transfer_Ois__nat @t16)) % 54.75/54.94 (define @t2099 () (tptp.hAPP @t930 @t365)) % 54.75/54.94 (define @t2100 () (tptp.hAPP (tptp.hAPP @t739 @t679) @t367)) % 54.75/54.94 (define @t2101 () (tptp.hAPP (tptp.hAPP @t2019 @t679) @t365)) % 54.75/54.94 (define @t2102 () (tptp.hAPP @t319 @t2033)) % 54.75/54.94 (define @t2103 () (not (= @t365 @t384))) % 54.75/54.94 (define @t2104 () (not (= @t367 @t384))) % 54.75/54.94 (define @t2105 () (@list @t679 @t288 @t365 @t367 @t289)) % 54.75/54.94 (define @t2106 () (tptp.hAPP @t2019 (tptp.hAPP @t1522 @t2094))) % 54.75/54.94 (define @t2107 () (@list @t367 @t288 @t365 @t289)) % 54.75/54.94 (define @t2108 () (tptp.hAPP @t2106 @t367)) % 54.75/54.94 (define @t2109 () (tptp.hAPP @t1853 @t288)) % 54.75/54.94 (define @t2110 () (tptp.hAPP @t2077 @t365)) % 54.75/54.94 (define @t2111 () (= @t1618 @t15)) % 54.75/54.94 (define @t2112 () (=> @t2111 @t389)) % 54.75/54.94 (define @t2113 () (tptp.hAPP @t769 @t1618)) % 54.75/54.94 (define @t2114 () (not @t2111)) % 54.75/54.94 (define @t2115 () (tptp.hAPP @t2059 @t1618)) % 54.75/54.94 (define @t2116 () (and @t2062 @t1619)) % 54.75/54.94 (define @t2117 () (@list @t54 @t629 @t52 @t14)) % 54.75/54.94 (define @t2118 () (=> @t2055 @t2111)) % 54.75/54.94 (define @t2119 () (tptp.hAPP (tptp.hAPP @t761 @t1618) @t51)) % 54.75/54.94 (define @t2120 () (@list @t629 @t51 @t52 @t14)) % 54.75/54.94 (define @t2121 () (@list @t51 @t52 @t629 @t14)) % 54.75/54.94 (define @t2122 () (@list @t629 @t52 @t54 @t14)) % 54.75/54.94 (define @t2123 () (tptp.hAPP @t2031 @t738)) % 54.75/54.94 (define @t2124 () (and @t2034 @t1615)) % 54.75/54.94 (define @t2125 () (and @t2071 @t1615)) % 54.75/54.94 (define @t2126 () (tptp.hBOOL (tptp.hAPP @t1068 @t861))) % 54.75/54.94 (define @t2127 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t861) @t52))) % 54.75/54.94 (define @t2128 () (tptp.hBOOL (tptp.hAPP @t1058 @t2060))) % 54.75/54.94 (define @t2129 () (tptp.hAPP @t1025 @t2060)) % 54.75/54.94 (define @t2130 () (tptp.hBOOL (tptp.hAPP @t2129 @t54))) % 54.75/54.94 (define @t2131 () (=> @t897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2086) @t2085)))) % 54.75/54.94 (define @t2132 () (tptp.hBOOL (tptp.hAPP @t1673 @t15))) % 54.75/54.94 (define @t2133 () (not @t2132)) % 54.75/54.94 (define @t2134 () (tptp.hBOOL (tptp.hAPP @t831 @t2113))) % 54.75/54.94 (define @t2135 () (tptp.hBOOL (tptp.hAPP @t560 @t1618))) % 54.75/54.94 (define @t2136 () (not @t2135)) % 54.75/54.94 (define @t2137 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2113) @t52))) % 54.75/54.94 (define @t2138 () (and @t2022 @t1619)) % 54.75/54.94 (define @t2139 () (tptp.hBOOL (tptp.hAPP @t831 @t2119))) % 54.75/54.94 (define @t2140 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2119) @t52))) % 54.75/54.94 (define @t2141 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2113) @t52))) % 54.75/54.94 (define @t2142 () (tptp.hBOOL (tptp.hAPP @t1068 @t2113))) % 54.75/54.94 (define @t2143 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2119) @t52))) % 54.75/54.94 (define @t2144 () (tptp.hBOOL (tptp.hAPP @t1068 @t2119))) % 54.75/54.94 (define @t2145 () (tptp.hAPP @t1025 @t1618)) % 54.75/54.94 (define @t2146 () (tptp.hAPP @t2025 @t510)) % 54.75/54.94 (define @t2147 () (tptp.c_Code__Numeral_Onat__of__aux @t510 @t76)) % 54.75/54.94 (define @t2148 () (= @t510 @t2015)) % 54.75/54.94 (define @t2149 () (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2150 () (@list @t48 @t49 @t14)) % 54.75/54.94 (define @t2151 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2152 () (tptp.c_Random_Olog @t274 @t510)) % 54.75/54.94 (define @t2153 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2154 () (tptp.hAPP @t2153 @t510)) % 54.75/54.94 (define @t2155 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2156 () (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2155 @t274) @t2018)) (tptp.hBOOL (tptp.hAPP @t2154 @t274)))) % 54.75/54.94 (define @t2157 () (@var "B_e" $$unsorted)) % 54.75/54.94 (define @t2158 () (tptp.c_Random_Ominus__shift @t914 @t359 @t531)) % 54.75/54.94 (define @t2159 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2153 @t359) @t531))) % 54.75/54.94 (define @t2160 () (not @t2159)) % 54.75/54.94 (define @t2161 () (tptp.c_Random_Oinc__shift @t953 @t359)) % 54.75/54.94 (define @t2162 () (= @t953 @t359)) % 54.75/54.94 (define @t2163 () (@var "V_code__numeral" $$unsorted)) % 54.75/54.94 (define @t2164 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2163)) % 54.75/54.94 (define @t2165 () (@list @t2163)) % 54.75/54.94 (define @t2166 () (tptp.hAPP (tptp.hAPP @t2025 @t76) @t306)) % 54.75/54.94 (define @t2167 () (@var "V_code__numeral_H_2" $$unsorted)) % 54.75/54.94 (define @t2168 () (@var "V_code__numeral_2" $$unsorted)) % 54.75/54.94 (define @t2169 () (tptp.c_Code__Numeral_OSuc__code__numeral @t2168)) % 54.75/54.94 (define @t2170 () (@var "V_code__numeral_H" $$unsorted)) % 54.75/54.94 (define @t2171 () (@var "V_code__numeral_H_1" $$unsorted)) % 54.75/54.94 (define @t2172 () (tptp.hAPP @t48 @t2168)) % 54.75/54.94 (define @t2173 () (@list @t2168 @t48 @t49 @t14)) % 54.75/54.94 (define @t2174 () (tptp.hAPP @t1940 @t1748)) % 54.75/54.94 (define @t2175 () (tptp.c_Divides_Oadjust @t1748)) % 54.75/54.94 (define @t2176 () (tptp.c_Divides_OnegDivAlg @t734 @t1748)) % 54.75/54.94 (define @t2177 () (tptp.hAPP @t735 @t1748)) % 54.75/54.94 (define @t2178 () (tptp.hBOOL (tptp.hAPP @t949 @t2177))) % 54.75/54.94 (define @t2179 () (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2180 () (tptp.hAPP @t2179 @t1836)) % 54.75/54.94 (define @t2181 () (tptp.hBOOL (tptp.hAPP @t642 @t1748))) % 54.75/54.94 (define @t2182 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2183 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat @t2182) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat @t2182) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg))) % 54.75/54.94 (define @t2184 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2185 () (tptp.hAPP @t2184 (tptp.hAPP @t2183 @t19))) % 54.75/54.94 (define @t2186 () (tptp.hAPP @t2185 tptp.c_Int_Onat)) % 54.75/54.94 (define @t2187 () (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2188 () (tptp.hAPP (tptp.hAPP @t1445 @t1818) @t1817)) % 54.75/54.94 (define @t2189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1813) tptp.c_Int_OPls))) % 54.75/54.94 (define @t2190 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2191 () (tptp.c_Divides_Odivmod__nat @t306 @t76)) % 54.75/54.94 (define @t2192 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t19)) % 54.75/54.94 (define @t2193 () (tptp.hAPP @t2190 @t19)) % 54.75/54.94 (define @t2194 () (tptp.hAPP @t2193 @t306)) % 54.75/54.94 (define @t2195 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t347)) % 54.75/54.94 (define @t2196 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t102)) % 54.75/54.94 (define @t2197 () (tptp.c_COMBI tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2198 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2199 () (tptp.hAPP (tptp.hAPP @t2198 @t316) @t2197)) % 54.75/54.94 (define @t2200 () (tptp.hAPP @t1604 @t629)) % 54.75/54.94 (define @t2201 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) @t2200)) % 54.75/54.94 (define @t2202 () (tptp.hAPP @t1604 @t1972)) % 54.75/54.94 (define @t2203 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t306)) % 54.75/54.94 (define @t2204 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t76)) % 54.75/54.94 (define @t2205 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2206 () (tptp.hAPP (tptp.hAPP @t2190 @t1358) @t1360)) % 54.75/54.94 (define @t2207 () (tptp.c_COMBI @t14)) % 54.75/54.94 (define @t2208 () (tptp.c_COMBS @t14 @t14 @t14)) % 54.75/54.94 (define @t2209 () (tptp.hAPP (tptp.hAPP @t2208 @t761) @t2207)) % 54.75/54.94 (define @t2210 () (tptp.hAPP @t1731 @t57)) % 54.75/54.94 (define @t2211 () (tptp.c_HOL_OLet @t14 @t14)) % 54.75/54.94 (define @t2212 () (tptp.hAPP @t2211 (tptp.hAPP @t2210 @t2200))) % 54.75/54.94 (define @t2213 () (tptp.c_COMBI tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2214 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2215 () (tptp.hAPP @t1595 @t57)) % 54.75/54.94 (define @t2216 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP @t2215 @t2200))) % 54.75/54.94 (define @t2217 () (tptp.hAPP @t1731 @t1672)) % 54.75/54.94 (define @t2218 () (tptp.hAPP @t2211 (tptp.hAPP @t2217 @t2200))) % 54.75/54.94 (define @t2219 () (tptp.hAPP (tptp.hAPP @t1445 @t732) @t1147)) % 54.75/54.94 (define @t2220 () (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1146))) % 54.75/54.94 (define @t2221 () (tptp.hAPP (tptp.hAPP @t2179 @t1438) @t1299)) % 54.75/54.94 (define @t2222 () (tptp.c_COMBC @t14 @t14 @t14)) % 54.75/54.94 (define @t2223 () (tptp.hAPP @t1940 @t1435)) % 54.75/54.94 (define @t2224 () (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2225 () (tptp.c_If @t2224)) % 54.75/54.94 (define @t2226 () (tptp.tc_fun @t2224 @t2224)) % 54.75/54.94 (define @t2227 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2224 @t2226) tptp.tc_Int_Oint) @t2225)) % 54.75/54.94 (define @t2228 () (tptp.c_COMBS tptp.tc_Int_Oint @t2224 @t2226)) % 54.75/54.94 (define @t2229 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t2224)) % 54.75/54.94 (define @t2230 () (tptp.hAPP (tptp.hAPP @t2179 @t1435) @t2020)) % 54.75/54.94 (define @t2231 () (tptp.c_Divides_Oadjust @t52)) % 54.75/54.94 (define @t2232 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2233 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2232 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2234 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2235 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2236 () (tptp.hAPP (tptp.hAPP @t2235 tptp.c_fNot) tptp.c_Nat__Numeral_Oneg)) % 54.75/54.94 (define @t2237 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2238 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2239 () (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2240 () (tptp.hAPP @t2239 (tptp.hAPP (tptp.hAPP @t2238 tptp.c_fimplies) @t2236))) % 54.75/54.94 (define @t2241 () (tptp.hAPP @t2238 tptp.c_fconj)) % 54.75/54.94 (define @t2242 () (tptp.hAPP @t2239 (tptp.hAPP @t2241 @t2236))) % 54.75/54.94 (define @t2243 () (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) @t1863)) % 54.75/54.94 (define @t2244 () (tptp.hBOOL (tptp.hAPP @t2243 (tptp.hAPP @t2242 (tptp.hAPP @t2240 (tptp.hAPP (tptp.hAPP @t2234 (tptp.hAPP (tptp.hAPP @t2233 tptp.c_fequal) tptp.c_Int_Onat)) @t102)))))) % 54.75/54.94 (define @t2245 () (@list @t102 @t1671)) % 54.75/54.94 (define @t2246 () (@list @t1671 @t102)) % 54.75/54.94 (define @t2247 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2248 () (tptp.hAPP @t2247 tptp.c_Nat_OSuc)) % 54.75/54.94 (define @t2249 () (tptp.hAPP @t1604 @t1918)) % 54.75/54.94 (define @t2250 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2251 () (tptp.hAPP @t448 @t436)) % 54.75/54.94 (define @t2252 () (tptp.hAPP @t2210 @t2249)) % 54.75/54.94 (define @t2253 () (tptp.hBOOL (tptp.hAPP @t949 @t1924))) % 54.75/54.94 (define @t2254 () (not @t2253)) % 54.75/54.94 (define @t2255 () (tptp.hAPP @t761 @t57)) % 54.75/54.94 (define @t2256 () (tptp.tc_fun @t14 @t14)) % 54.75/54.94 (define @t2257 () (tptp.c_COMBB @t14 @t2256 @t14)) % 54.75/54.94 (define @t2258 () (tptp.hAPP @t2257 @t761)) % 54.75/54.94 (define @t2259 () (tptp.hAPP @t2215 @t2249)) % 54.75/54.94 (define @t2260 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2261 () (tptp.c_COMBB tptp.tc_Int_Oint @t2260 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2262 () (tptp.c_Divides_Oadjust @t274)) % 54.75/54.94 (define @t2263 () (tptp.c_Divides_OnegDivAlg @t181 @t274)) % 54.75/54.94 (define @t2264 () (= @t2263 (tptp.hAPP @t2262 (tptp.c_Divides_OnegDivAlg @t181 @t1942)))) % 54.75/54.94 (define @t2265 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t274) @t624))) % 54.75/54.94 (define @t2266 () (tptp.hBOOL (tptp.hAPP @t949 @t1318))) % 54.75/54.94 (define @t2267 () (or @t2266 @t2265)) % 54.75/54.94 (define @t2268 () (= @t2263 (tptp.hAPP @t2180 @t1318))) % 54.75/54.94 (define @t2269 () (tptp.hAPP @t2217 @t2249)) % 54.75/54.94 (define @t2270 () (tptp.hAPP @t1940 @t1614)) % 54.75/54.94 (define @t2271 () (tptp.c_Divides_Oadjust @t1614)) % 54.75/54.94 (define @t2272 () (tptp.c_Divides_OnegDivAlg @t1748 @t1614)) % 54.75/54.94 (define @t2273 () (tptp.hAPP (tptp.hAPP @t630 @t1748) @t1614)) % 54.75/54.94 (define @t2274 () (tptp.hBOOL (tptp.hAPP @t949 @t2273))) % 54.75/54.94 (define @t2275 () (tptp.hBOOL (tptp.hAPP @t642 @t1614))) % 54.75/54.94 (define @t2276 () (tptp.tc_fun tptp.tc_Int_Oint @t2224)) % 54.75/54.94 (define @t2277 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2276 tptp.tc_Int_Oint) @t2179)) % 54.75/54.94 (define @t2278 () (tptp.c_Nitpick_Onorm__frac @t54 @t52)) % 54.75/54.94 (define @t2279 () (or (= @t54 @t624) (= @t52 @t624))) % 54.75/54.94 (define @t2280 () (tptp.hAPP @t2179 @t624)) % 54.75/54.94 (define @t2281 () (tptp.hAPP @t2280 @t734)) % 54.75/54.94 (define @t2282 () (tptp.hAPP @t726 @t54)) % 54.75/54.94 (define @t2283 () (and (=> @t1387 (= @t2278 (tptp.c_Nitpick_Onorm__frac @t2282 (tptp.hAPP @t726 @t52)))) (=> (not @t1387) (and (=> @t2279 (= @t2278 @t2281)) (=> (not @t2279) (= @t2278 (tptp.hAPP (tptp.hAPP @t2229 (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t54) @t52)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t2224) (tptp.hAPP @t2277 @t1380)) (tptp.hAPP @t1333 @t52))))))))) % 54.75/54.94 (define @t2284 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2182 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2285 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2286 () (tptp.hAPP (tptp.hAPP @t2285 (tptp.hAPP (tptp.hAPP @t2284 @t316) tptp.c_Int_Onat)) @t102)) % 54.75/54.94 (define @t2287 () (tptp.c_COMBB tptp.tc_Nat_Onat @t14 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2288 () (tptp.hAPP @t2287 @t2)) % 54.75/54.94 (define @t2289 () (tptp.c_If @t14)) % 54.75/54.94 (define @t2290 () (tptp.tc_fun @t14 @t2256)) % 54.75/54.94 (define @t2291 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2290 tptp.tc_Int_Oint) @t2289)) % 54.75/54.94 (define @t2292 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t14 @t2256) (tptp.hAPP @t2291 tptp.c_Nat__Numeral_Oneg))) % 54.75/54.94 (define @t2293 () (tptp.c_COMBS tptp.tc_Int_Oint @t14 @t14)) % 54.75/54.94 (define @t2294 () (tptp.c_HOL_OLet tptp.tc_Int_Oint @t14)) % 54.75/54.94 (define @t2295 () (tptp.hAPP @t2294 @t1863)) % 54.75/54.94 (define @t2296 () (tptp.hAPP (tptp.hAPP @t316 @t1818) @t102)) % 54.75/54.94 (define @t2297 () (@list @t102 @t1671 @t2 @t54 @t14)) % 54.75/54.94 (define @t2298 () (tptp.c_Divides_OposDivAlg @t734 @t1748)) % 54.75/54.94 (define @t2299 () (tptp.hBOOL (tptp.hAPP @t880 @t1748))) % 54.75/54.94 (define @t2300 () (tptp.c_Divides_OposDivAlg @t181 @t274)) % 54.75/54.94 (define @t2301 () (= @t2300 (tptp.hAPP @t2262 (tptp.c_Divides_OposDivAlg @t181 @t1942)))) % 54.75/54.94 (define @t2302 () (or @t1310 @t2265)) % 54.75/54.94 (define @t2303 () (= @t2300 (tptp.hAPP @t2280 @t181))) % 54.75/54.94 (define @t2304 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2305 () (tptp.hAPP (tptp.hAPP @t2304 @t1440) @t52)) % 54.75/54.94 (define @t2306 () (tptp.hAPP @t2261 @t630)) % 54.75/54.94 (define @t2307 () (tptp.hAPP (tptp.c_COMBB @t2276 (tptp.tc_fun @t2260 @t2276) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint @t2224 tptp.tc_Int_Oint))) % 54.75/54.94 (define @t2308 () (tptp.c_COMBC tptp.tc_Int_Oint @t2260 @t2276)) % 54.75/54.94 (define @t2309 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2310 () (tptp.tc_fun tptp.tc_Int_Oint @t2226)) % 54.75/54.94 (define @t2311 () (tptp.hAPP (tptp.c_COMBB @t2310 (tptp.tc_fun @t2276 @t2276) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint @t2224 @t2224))) % 54.75/54.94 (define @t2312 () (tptp.c_COMBS tptp.tc_Int_Oint @t2276 @t2276)) % 54.75/54.94 (define @t2313 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t2224)) % 54.75/54.94 (define @t2314 () (tptp.hAPP @t48 @t402)) % 54.75/54.94 (define @t2315 () (@list @t402 @t48 @t49 @t14)) % 54.75/54.94 (define @t2316 () (tptp.hAPP @t2280 @t624)) % 54.75/54.94 (define @t2317 () (tptp.hAPP @t2288 tptp.c_Int_Onat)) % 54.75/54.94 (define @t2318 () (tptp.hAPP @t2293 (tptp.hAPP @t2292 @t54))) % 54.75/54.94 (define @t2319 () (@list @t1671 @t2 @t54 @t14)) % 54.75/54.94 (define @t2320 () (tptp.c_Divides_OposDivAlg @t1748 @t1614)) % 54.75/54.94 (define @t2321 () (tptp.hAPP @t632 @t1748)) % 54.75/54.94 (define @t2322 () (tptp.hBOOL (tptp.hAPP @t2321 @t1614))) % 54.75/54.94 (define @t2323 () (tptp.hAPP (tptp.hAPP @t2208 @t329) @t2207)) % 54.75/54.94 (define @t2324 () (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2325 () (tptp.hAPP (tptp.hAPP @t2324 tptp.c_fequal) @t624)) % 54.75/54.94 (define @t2326 () (tptp.tc_fun @t2256 @t14)) % 54.75/54.94 (define @t2327 () (tptp.tc_fun tptp.tc_Int_Oint @t14)) % 54.75/54.94 (define @t2328 () (tptp.tc_fun tptp.tc_Int_Oint @t2256)) % 54.75/54.94 (define @t2329 () (tptp.hAPP @t718 @t349)) % 54.75/54.94 (define @t2330 () (not @t1248)) % 54.75/54.94 (define @t2331 () (tptp.class_Rings_Oring__1 @t14)) % 54.75/54.94 (define @t2332 () (@list @t349 @t14)) % 54.75/54.94 (define @t2333 () (tptp.c_Nat_Onat_Onat__rec @t14 @t54 @t2)) % 54.75/54.94 (define @t2334 () (tptp.hAPP @t2287 @t2333)) % 54.75/54.94 (define @t2335 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2256 tptp.tc_Int_Oint) @t2)) % 54.75/54.94 (define @t2336 () (tptp.hAPP (tptp.hAPP @t2190 @t1190) @t914)) % 54.75/54.94 (define @t2337 () (@list @t26 @t914 @t1190 @t274 @t181)) % 54.75/54.94 (define @t2338 () (tptp.hAPP @t1352 @t914)) % 54.75/54.94 (define @t2339 () (tptp.c_Divides_Odivmod__nat__rel @t274 @t26)) % 54.75/54.94 (define @t2340 () (@list @t181 @t914 @t1190 @t26 @t274)) % 54.75/54.94 (define @t2341 () (tptp.hAPP @t1940 @t52)) % 54.75/54.94 (define @t2342 () (tptp.c_Divides_OnegDivAlg @t54 @t52)) % 54.75/54.94 (define @t2343 () (tptp.hBOOL (tptp.hAPP @t1411 @t624))) % 54.75/54.94 (define @t2344 () (tptp.hAPP @t630 @t54)) % 54.75/54.94 (define @t2345 () (tptp.hAPP @t2344 @t52)) % 54.75/54.94 (define @t2346 () (or (tptp.hBOOL (tptp.hAPP @t949 @t2345)) @t2343)) % 54.75/54.94 (define @t2347 () (tptp.hAPP (tptp.hAPP @t2179 @t54) @t52)) % 54.75/54.94 (define @t2348 () (tptp.c_Wellfounded_Oaccp @t2224 tptp.c_Divides_OnegDivAlg__rel)) % 54.75/54.94 (define @t2349 () (tptp.c_Wellfounded_Oaccp @t14 @t2020)) % 54.75/54.94 (define @t2350 () (tptp.hBOOL (tptp.hAPP @t2349 @t54))) % 54.75/54.94 (define @t2351 () (@list @t54 @t2020 @t14)) % 54.75/54.94 (define @t2352 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2020 @t54) @t52))) % 54.75/54.94 (define @t2353 () (@var "V_qr_H" $$unsorted)) % 54.75/54.94 (define @t2354 () (@var "V_qr" $$unsorted)) % 54.75/54.94 (define @t2355 () (tptp.c_Divides_Odivmod__nat__rel @t306 @t76)) % 54.75/54.94 (define @t2356 () (tptp.hBOOL (tptp.hAPP @t2355 @t2354))) % 54.75/54.94 (define @t2357 () (@var "V_R1_2" $$unsorted)) % 54.75/54.94 (define @t2358 () (@var "V_R2_2" $$unsorted)) % 54.75/54.94 (define @t2359 () (tptp.tc_fun @t14 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2360 () (tptp.c_Orderings_Oord__class_Oless__eq @t2359)) % 54.75/54.94 (define @t2361 () (tptp.tc_fun @t14 @t2359)) % 54.75/54.94 (define @t2362 () (tptp.c_Orderings_Oord__class_Oless__eq @t2361)) % 54.75/54.94 (define @t2363 () (@list @t2358 @t2357 @t14)) % 54.75/54.94 (define @t2364 () (tptp.c_Nat_Onat_Onat__rec @t14 @t49 @t48)) % 54.75/54.94 (define @t2365 () (tptp.hBOOL (tptp.hAPP @t2355 @t2336))) % 54.75/54.94 (define @t2366 () (@list @t914 @t1190 @t76 @t306)) % 54.75/54.94 (define @t2367 () (@var "V_br" $$unsorted)) % 54.75/54.94 (define @t2368 () (@var "V_ar" $$unsorted)) % 54.75/54.94 (define @t2369 () (tptp.hAPP (tptp.hAPP @t316 @t2368) @t2367)) % 54.75/54.94 (define @t2370 () (@var "V_bq" $$unsorted)) % 54.75/54.94 (define @t2371 () (@var "V_aq" $$unsorted)) % 54.75/54.94 (define @t2372 () (@list @t2367 @t2370 @t274 @t2368 @t2371 @t26 @t181)) % 54.75/54.94 (define @t2373 () (tptp.c_Divides_OposDivAlg @t54 @t52)) % 54.75/54.94 (define @t2374 () (or (tptp.hBOOL (tptp.hAPP @t1379 @t52)) @t2343)) % 54.75/54.94 (define @t2375 () (tptp.c_Wellfounded_Oaccp @t2224 tptp.c_Divides_OposDivAlg__rel)) % 54.75/54.94 (define @t2376 () (tptp.c_Wellfounded_Oaccp @t2224 tptp.c_Nitpick_Onorm__frac__rel)) % 54.75/54.94 (define @t2377 () (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2378 () (tptp.tc_fun tptp.tc_Int_Oint @t2377)) % 54.75/54.94 (define @t2379 () (tptp.c_COMBB @t2377 @t2377 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2380 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2381 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg @t1279 @t1281))) % 54.75/54.94 (define @t2382 () (tptp.c_Divides_Odivmod__int @t181 @t274)) % 54.75/54.94 (define @t2383 () (not @t1295)) % 54.75/54.94 (define @t2384 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t1279 @t1281))) % 54.75/54.94 (define @t2385 () (tptp.hBOOL (tptp.hAPP @t949 @t274))) % 54.75/54.94 (define @t2386 () (@var "V_a0_2" $$unsorted)) % 54.75/54.94 (define @t2387 () (tptp.hAPP (tptp.hAPP @t87 @t2386) @t94)) % 54.75/54.94 (define @t2388 () (tptp.hBOOL @t2387)) % 54.75/54.94 (define @t2389 () (@var "B_b" $$unsorted)) % 54.75/54.94 (define @t2390 () (tptp.hAPP @t87 @t446)) % 54.75/54.94 (define @t2391 () (tptp.hBOOL (tptp.hAPP @t2390 @t2389))) % 54.75/54.94 (define @t2392 () (tptp.hBOOL (tptp.hAPP @t2390 (tptp.hAPP @t1940 @t2389)))) % 54.75/54.94 (define @t2393 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t2389) @t624))) % 54.75/54.94 (define @t2394 () (tptp.hAPP (tptp.hAPP @t2179 @t446) @t2389)) % 54.75/54.94 (define @t2395 () (@list @t446 @t2389)) % 54.75/54.94 (define @t2396 () (tptp.hAPP (tptp.hAPP @t2179 @t2386) @t94)) % 54.75/54.94 (define @t2397 () (@list @t87 @t94 @t2386)) % 54.75/54.94 (define @t2398 () (tptp.hAPP @t2179 @t1190)) % 54.75/54.94 (define @t2399 () (tptp.hAPP @t2398 @t914)) % 54.75/54.94 (define @t2400 () (tptp.c_Product__Type_OPair @t14 @t420)) % 54.75/54.94 (define @t2401 () (tptp.hAPP @t2400 @t54)) % 54.75/54.94 (define @t2402 () (tptp.hAPP @t2401 @t52)) % 54.75/54.94 (define @t2403 () (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2403 @t2) @t2402))) % 54.75/54.94 (define @t2405 () (tptp.hBOOL @t56)) % 54.75/54.94 (define @t2406 () (tptp.c_Nitpick_Onat__gcd @t16 @t659)) % 54.75/54.94 (define @t2407 () (= @t659 @t19)) % 54.75/54.94 (define @t2408 () (tptp.hAPP (tptp.hAPP @t2190 @t16) @t659)) % 54.75/54.94 (define @t2409 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2410 () (tptp.c_Wellfounded_Oaccp @t2409 tptp.c_Nitpick_Onat__gcd__rel)) % 54.75/54.94 (define @t2411 () (tptp.c_Divides_Opdivmod @t349 @t1525)) % 54.75/54.94 (define @t2412 () (tptp.hAPP (tptp.hAPP @t2313 (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2311 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2224 @t2310 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2224 @t2226) (tptp.hAPP @t2227 @t2325))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2224) (tptp.hAPP @t2277 @t726)) @t624)))) (tptp.hAPP (tptp.hAPP @t2308 (tptp.hAPP @t2307 (tptp.hAPP @t2277 (tptp.hAPP (tptp.hAPP @t2304 (tptp.hAPP (tptp.hAPP @t2261 @t1440) @t726)) @t734)))) (tptp.hAPP @t1440 (tptp.hAPP @t1598 @t1525))))) @t2411)) % 54.75/54.94 (define @t2413 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t1525)) % 54.75/54.94 (define @t2414 () (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP @t723 @t2413))) % 54.75/54.94 (define @t2415 () (tptp.c_Divides_Odivmod__int @t349 @t1525)) % 54.75/54.94 (define @t2416 () (= @t1525 @t624)) % 54.75/54.94 (define @t2417 () (not @t2416)) % 54.75/54.94 (define @t2418 () (=> @t2416 (= @t2415 (tptp.hAPP @t2280 @t349)))) % 54.75/54.94 (define @t2419 () (=> @t1248 (= @t2415 @t2316))) % 54.75/54.94 (define @t2420 () (tptp.hAPP @t2 @t659)) % 54.75/54.94 (define @t2421 () (tptp.hAPP @t2400 @t16)) % 54.75/54.94 (define @t2422 () (tptp.c_Product__Type_OPair @t14 @t579)) % 54.75/54.94 (define @t2423 () (tptp.hAPP (tptp.hAPP @t2422 @t16) @t659)) % 54.75/54.94 (define @t2424 () (tptp.c_Product__Type_Oapsnd @t579 @t420 @t14 @t2)) % 54.75/54.94 (define @t2425 () (tptp.c_Product__Type_OPair @t289 @t14)) % 54.75/54.94 (define @t2426 () (tptp.hAPP (tptp.hAPP @t2425 @t181) @t274)) % 54.75/54.94 (define @t2427 () (tptp.hAPP (tptp.hAPP @t2400 @t300) @t461)) % 54.75/54.94 (define @t2428 () (tptp.hAPP (tptp.hAPP @t2400 @t446) @t2389)) % 54.75/54.94 (define @t2429 () (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t579)) % 54.75/54.94 (define @t2430 () (tptp.hAPP @t2429 @t51)) % 54.75/54.94 (define @t2431 () (tptp.c_Product__Type_OPair @t420 @t579)) % 54.75/54.94 (define @t2432 () (tptp.hAPP (tptp.hAPP @t2431 @t54) @t52)) % 54.75/54.94 (define @t2433 () (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t579 @t14)) % 54.75/54.94 (define @t2434 () (tptp.hAPP @t2433 @t2)) % 54.75/54.94 (define @t2435 () (@list @t52 @t54 @t2 @t14 @t579 @t420)) % 54.75/54.94 (define @t2436 () (@list @t52 @t54 @t2 @t420 @t14)) % 54.75/54.94 (define @t2437 () (tptp.tc_prod @t14 @t420)) % 54.75/54.94 (define @t2438 () (tptp.tc_fun @t420 @t579)) % 54.75/54.94 (define @t2439 () (tptp.tc_fun @t420 @t2437)) % 54.75/54.94 (define @t2440 () (@list @t2 @t579 @t420 @t14)) % 54.75/54.94 (define @t2441 () (@var "T_f" $$unsorted)) % 54.75/54.94 (define @t2442 () (tptp.tc_prod @t420 @t579)) % 54.75/54.94 (define @t2443 () (@var "T_e" $$unsorted)) % 54.75/54.94 (define @t2444 () (tptp.hAPP @t1598 @t531)) % 54.75/54.94 (define @t2445 () (tptp.hAPP @t1598 @t359)) % 54.75/54.94 (define @t2446 () (tptp.c_Divides_Opdivmod @t359 @t531)) % 54.75/54.94 (define @t2447 () (= @t531 @t624)) % 54.75/54.94 (define @t2448 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral @t76 @t306)) % 54.75/54.94 (define @t2449 () (tptp.hAPP (tptp.hAPP @t2012 @t76) @t306)) % 54.75/54.94 (define @t2450 () (tptp.c_Divides_Odivmod__int__rel @t181 @t274)) % 54.75/54.94 (define @t2451 () (tptp.hBOOL (tptp.hAPP @t2450 @t2399))) % 54.75/54.94 (define @t2452 () (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg @t941 @t1751))) % 54.75/54.94 (define @t2453 () (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2454 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t734 @t1748)) % 54.75/54.94 (define @t2455 () (tptp.hBOOL (tptp.hAPP @t2321 @t624))) % 54.75/54.94 (define @t2456 () (tptp.hAPP @t2239 (tptp.hAPP @t2241 @t949))) % 54.75/54.94 (define @t2457 () (tptp.hAPP tptp.c_fequal @t54)) % 54.75/54.94 (define @t2458 () (tptp.tc_fun tptp.tc_Int_Oint @t2237)) % 54.75/54.94 (define @t2459 () (tptp.tc_fun @t2377 @t2377)) % 54.75/54.94 (define @t2460 () (tptp.c_Divides_Odivmod__int__rel @t54 @t52)) % 54.75/54.94 (define @t2461 () (@var "V_R_2" $$unsorted)) % 54.75/54.94 (define @t2462 () (tptp.tc_fun @t579 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2463 () (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t2462)) % 54.75/54.94 (define @t2464 () (tptp.c_Product__Type_OPair @t14 @t289)) % 54.75/54.94 (define @t2465 () (tptp.c_Product__Type_Osnd @t14 @t289)) % 54.75/54.94 (define @t2466 () (tptp.c_Product__Type_Osnd @t420 @t579)) % 54.75/54.94 (define @t2467 () (tptp.hAPP @t2466 @t16)) % 54.75/54.94 (define @t2468 () (tptp.c_Product__Type_Osnd @t420 @t14)) % 54.75/54.94 (define @t2469 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t14 @t579) @t16)) % 54.75/54.94 (define @t2470 () (tptp.hAPP @t2424 @t16)) % 54.75/54.94 (define @t2471 () (tptp.hAPP @t2468 @t1601)) % 54.75/54.94 (define @t2472 () (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t181 @t181) @t2399))) % 54.75/54.94 (define @t2473 () (@list @t914 @t1190 @t181)) % 54.75/54.94 (define @t2474 () (tptp.hBOOL (tptp.hAPP @t2450 (tptp.hAPP (tptp.hAPP @t2179 @t1199) @t1204)))) % 54.75/54.94 (define @t2475 () (@list @t1204 @t1199 @t914 @t1190 @t274 @t181)) % 54.75/54.94 (define @t2476 () (@list @t914 @t1190 @t274 @t181)) % 54.75/54.94 (define @t2477 () (tptp.hAPP (tptp.hAPP @t630 @t2368) @t2367)) % 54.75/54.94 (define @t2478 () (not (= @t26 @t624))) % 54.75/54.94 (define @t2479 () (tptp.c_Divides_Odivmod__int__rel @t274 @t26)) % 54.75/54.94 (define @t2480 () (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal @t2020) @t624))) % 54.75/54.94 (define @t2481 () (tptp.hAPP @t726 @t1435)) % 54.75/54.94 (define @t2482 () (tptp.tc_fun tptp.tc_Nat_Onat @t2409)) % 54.75/54.94 (define @t2483 () (tptp.c_Divides_Odivmod__nat @t347 @t102)) % 54.75/54.94 (define @t2484 () (or @t376 @t468)) % 54.75/54.94 (define @t2485 () (tptp.hAPP @t1192 @t914)) % 54.75/54.94 (define @t2486 () (= @t1314 @t1467)) % 54.75/54.94 (define @t2487 () (tptp.hAPP @t2360 @t1467)) % 54.75/54.94 (define @t2488 () (tptp.hBOOL (tptp.hAPP @t2487 @t1314))) % 54.75/54.94 (define @t2489 () (tptp.hAPP @t2360 @t1314)) % 54.75/54.94 (define @t2490 () (tptp.hBOOL (tptp.hAPP @t2489 @t1467))) % 54.75/54.94 (define @t2491 () (@list @t1467 @t1314 @t14)) % 54.75/54.94 (define @t2492 () (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2493 () (tptp.hAPP @t1772 @t1748)) % 54.75/54.94 (define @t2494 () (tptp.hAPP @t87 @t257)) % 54.75/54.94 (define @t2495 () (tptp.hAPP (tptp.hAPP @t2190 @t4) @t257)) % 54.75/54.94 (define @t2496 () (@list @t4 @t257)) % 54.75/54.94 (define @t2497 () (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2498 () (tptp.hAPP @t2497 @t102)) % 54.75/54.94 (define @t2499 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2500 () (tptp.hAPP @t2499 tptp.c_Nat_OSuc)) % 54.75/54.94 (define @t2501 () (tptp.hAPP @t2187 @t1863)) % 54.75/54.94 (define @t2502 () (tptp.hAPP @t2497 @t436)) % 54.75/54.94 (define @t2503 () (tptp.hAPP (tptp.hAPP @t2497 @t306) @t76)) % 54.75/54.94 (define @t2504 () (tptp.hBOOL (tptp.hAPP @t1029 @t57))) % 54.75/54.94 (define @t2505 () (tptp.hBOOL (tptp.hAPP @t1026 @t57))) % 54.75/54.94 (define @t2506 () (tptp.c_Orderings_Oord__class_Omin @t14)) % 54.75/54.94 (define @t2507 () (tptp.hAPP @t2506 @t16)) % 54.75/54.94 (define @t2508 () (tptp.hAPP @t2507 @t659)) % 54.75/54.94 (define @t2509 () (@list @t57 @t659 @t16 @t14)) % 54.75/54.94 (define @t2510 () (tptp.hBOOL (tptp.hAPP @t962 @t274))) % 54.75/54.94 (define @t2511 () (not (=> @t1185 (not @t2510)))) % 54.75/54.94 (define @t2512 () (tptp.c_Orderings_Oord__class_Omin @t289)) % 54.75/54.94 (define @t2513 () (tptp.hAPP @t2512 @t181)) % 54.75/54.94 (define @t2514 () (tptp.hAPP @t2513 @t274)) % 54.75/54.94 (define @t2515 () (tptp.hBOOL (tptp.hAPP @t962 @t2514))) % 54.75/54.94 (define @t2516 () (@list @t274 @t181 @t288 @t289)) % 54.75/54.94 (define @t2517 () (tptp.hAPP @t956 @t2514)) % 54.75/54.94 (define @t2518 () (tptp.hBOOL (tptp.hAPP @t1019 @t427))) % 54.75/54.94 (define @t2519 () (tptp.hAPP @t2512 @t367)) % 54.75/54.94 (define @t2520 () (tptp.hAPP @t2519 @t365)) % 54.75/54.94 (define @t2521 () (tptp.hAPP @t2512 @t288)) % 54.75/54.94 (define @t2522 () (tptp.hAPP @t2521 @t367)) % 54.75/54.94 (define @t2523 () (tptp.hBOOL (tptp.hAPP @t2517 @t288))) % 54.75/54.94 (define @t2524 () (tptp.hBOOL (tptp.hAPP @t1019 @t288))) % 54.75/54.94 (define @t2525 () (@list @t181 @t288 @t274 @t289)) % 54.75/54.94 (define @t2526 () (tptp.hBOOL (tptp.hAPP @t1021 @t288))) % 54.75/54.94 (define @t2527 () (@list @t274 @t288 @t181 @t289)) % 54.75/54.94 (define @t2528 () (and @t1027 @t2505)) % 54.75/54.94 (define @t2529 () (tptp.hAPP @t956 @t2522)) % 54.75/54.94 (define @t2530 () (tptp.hAPP @t2497 @t76)) % 54.75/54.94 (define @t2531 () (tptp.hAPP @t1522 @t365)) % 54.75/54.94 (define @t2532 () (tptp.hAPP @t2512 @t274)) % 54.75/54.94 (define @t2533 () (tptp.hAPP @t2519 @t288)) % 54.75/54.94 (define @t2534 () (tptp.hAPP @t2513 (tptp.hAPP @t2532 @t26))) % 54.75/54.94 (define @t2535 () (tptp.hAPP @t2521 @t365)) % 54.75/54.94 (define @t2536 () (tptp.hAPP @t2521 @t2520)) % 54.75/54.94 (define @t2537 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2514) @t288))) % 54.75/54.94 (define @t2538 () (tptp.hBOOL (tptp.hAPP @t547 @t288))) % 54.75/54.94 (define @t2539 () (tptp.hBOOL (tptp.hAPP @t490 @t288))) % 54.75/54.94 (define @t2540 () (tptp.hAPP @t479 @t57)) % 54.75/54.94 (define @t2541 () (tptp.hBOOL (tptp.hAPP @t2540 @t659))) % 54.75/54.94 (define @t2542 () (tptp.hBOOL (tptp.hAPP @t2540 @t16))) % 54.75/54.94 (define @t2543 () (@list @t659 @t16 @t57 @t14)) % 54.75/54.94 (define @t2544 () (tptp.hBOOL (tptp.hAPP @t699 @t57))) % 54.75/54.94 (define @t2545 () (tptp.hBOOL (tptp.hAPP @t701 @t57))) % 54.75/54.94 (define @t2546 () (tptp.hAPP (tptp.hAPP @t1466 @t367) @t365)) % 54.75/54.94 (define @t2547 () (tptp.hAPP @t1523 @t365)) % 54.75/54.94 (define @t2548 () (tptp.c_Product__Type_Ofst @t289 @t14)) % 54.75/54.94 (define @t2549 () (tptp.hAPP (tptp.hAPP @t2425 @t288) @t367)) % 54.75/54.94 (define @t2550 () (tptp.c_Product__Type_Osnd @t14 @t420)) % 54.75/54.94 (define @t2551 () (tptp.c_Product__Type_Ofst @t14 @t420)) % 54.75/54.94 (define @t2552 () (= @t98 @t104)) % 54.75/54.94 (define @t2553 () (tptp.c_Product__Type_Osnd @t289 @t14)) % 54.75/54.94 (define @t2554 () (tptp.hAPP @t2553 @t1645)) % 54.75/54.94 (define @t2555 () (tptp.hAPP @t2548 @t1645)) % 54.75/54.94 (define @t2556 () (@list @t16 @t2 @t579 @t420 @t14)) % 54.75/54.94 (define @t2557 () (tptp.c_COMBK @t14 @t420)) % 54.75/54.94 (define @t2558 () (tptp.hAPP @t2551 @t1601)) % 54.75/54.94 (define @t2559 () (tptp.hAPP @t1617 @t159)) % 54.75/54.94 (define @t2560 () (tptp.hAPP (tptp.hAPP @t2506 @t2559) @t1675)) % 54.75/54.94 (define @t2561 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2559) @t1675))) % 54.75/54.94 (define @t2562 () (not @t2561)) % 54.75/54.94 (define @t2563 () (tptp.class_Orderings_Oord @t14)) % 54.75/54.94 (define @t2564 () (and @t1619 @t2563)) % 54.75/54.94 (define @t2565 () (@list @t953 @t159 @t14)) % 54.75/54.94 (define @t2566 () (tptp.hAPP @t2466 @t1601)) % 54.75/54.94 (define @t2567 () (tptp.c_Product__Type_Ofst @t420 @t579)) % 54.75/54.94 (define @t2568 () (tptp.hAPP @t2567 @t1601)) % 54.75/54.94 (define @t2569 () (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2570 () (tptp.c_Groups_Ominus__class_Ominus @t2359)) % 54.75/54.94 (define @t2571 () (tptp.hAPP @t2570 @t1314)) % 54.75/54.94 (define @t2572 () (tptp.hAPP @t2571 @t1467)) % 54.75/54.94 (define @t2573 () (tptp.hAPP @t2360 @t2572)) % 54.75/54.94 (define @t2574 () (@var "V_D_2" $$unsorted)) % 54.75/54.94 (define @t2575 () (@var "V_C_2" $$unsorted)) % 54.75/54.94 (define @t2576 () (tptp.hAPP @t2570 @t2575)) % 54.75/54.94 (define @t2577 () (tptp.hBOOL (tptp.hAPP @t2489 @t2575))) % 54.75/54.94 (define @t2578 () (tptp.hAPP @t2570 @t1467)) % 54.75/54.94 (define @t2579 () (tptp.hBOOL (tptp.hAPP @t2487 @t2575))) % 54.75/54.94 (define @t2580 () (@list @t2575 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t2581 () (tptp.c_Groups_Ouminus__class_Ouminus @t2359)) % 54.75/54.94 (define @t2582 () (tptp.hAPP @t2581 @t1467)) % 54.75/54.94 (define @t2583 () (tptp.hAPP @t2581 @t1314)) % 54.75/54.94 (define @t2584 () (@list @t1314 @t14)) % 54.75/54.94 (define @t2585 () (@list @t14 @t1467 @t1314)) % 54.75/54.94 (define @t2586 () (tptp.c_Orderings_Oord__class_Oless @t2359)) % 54.75/54.94 (define @t2587 () (tptp.hAPP @t2586 @t1314)) % 54.75/54.94 (define @t2588 () (tptp.hBOOL (tptp.hAPP @t2587 @t1467))) % 54.75/54.94 (define @t2589 () (tptp.hBOOL (tptp.hAPP @t2587 @t2575))) % 54.75/54.94 (define @t2590 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2586 @t1467) @t2575)) @t2589)) % 54.75/54.94 (define @t2591 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2592 () (tptp.hAPP @t2550 @t1601)) % 54.75/54.94 (define @t2593 () (tptp.c_Product__Type_OPair @t420 @t14)) % 54.75/54.94 (define @t2594 () (tptp.hAPP @t2593 @t16)) % 54.75/54.94 (define @t2595 () (tptp.hAPP @t2594 @t659)) % 54.75/54.94 (define @t2596 () (tptp.c_Product__Type_Ofst @t420 @t14)) % 54.75/54.94 (define @t2597 () (tptp.hAPP @t87 @t659)) % 54.75/54.94 (define @t2598 () (tptp.hAPP (tptp.hAPP @t2400 @t1601) @t1435)) % 54.75/54.94 (define @t2599 () (@var "V_Qa_2" $$unsorted)) % 54.75/54.94 (define @t2600 () (tptp.hAPP @t2570 @t2572)) % 54.75/54.94 (define @t2601 () (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2602 () (@var "V_qr_2" $$unsorted)) % 54.75/54.94 (define @t2603 () (tptp.hAPP @t2569 @t2602)) % 54.75/54.94 (define @t2604 () (tptp.hAPP @t2601 @t2602)) % 54.75/54.94 (define @t2605 () (tptp.c_Divides_Odivmod__nat__rel @t347 @t102)) % 54.75/54.94 (define @t2606 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.94 (define @t2607 () (tptp.hAPP @t2153 @t2015)) % 54.75/54.94 (define @t2608 () (@var "V_xq_2" $$unsorted)) % 54.75/54.94 (define @t2609 () (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2610 () (tptp.hAPP @t2184 (tptp.hAPP @t2183 @t436))) % 54.75/54.94 (define @t2611 () (tptp.hAPP @t2609 @t102)) % 54.75/54.94 (define @t2612 () (tptp.hAPP @t2609 @t436)) % 54.75/54.94 (define @t2613 () (tptp.c_Product__Type_Osnd @t579 @t2443)) % 54.75/54.94 (define @t2614 () (tptp.hAPP @t1 (tptp.hAPP @t2613 @t16))) % 54.75/54.94 (define @t2615 () (tptp.c_Product__Type_Ofst @t579 @t2443)) % 54.75/54.94 (define @t2616 () (tptp.hAPP @t2 (tptp.hAPP @t2615 @t16))) % 54.75/54.94 (define @t2617 () (tptp.c_Product__Type_Oapfst @t579 @t14 @t420 @t2)) % 54.75/54.94 (define @t2618 () (@list @t16 @t1 @t2443 @t2 @t420 @t14 @t579)) % 54.75/54.94 (define @t2619 () (tptp.c_Orderings_Oord__class_Omax @t289)) % 54.75/54.94 (define @t2620 () (tptp.hAPP @t2619 @t288)) % 54.75/54.94 (define @t2621 () (tptp.hAPP @t2620 @t367)) % 54.75/54.94 (define @t2622 () (tptp.hAPP @t2620 @t365)) % 54.75/54.94 (define @t2623 () (tptp.hAPP (tptp.hAPP @t2512 @t2621) @t2622)) % 54.75/54.94 (define @t2624 () (tptp.hAPP @t2620 @t2520)) % 54.75/54.94 (define @t2625 () (tptp.hAPP (tptp.hAPP @t2619 @t2522) @t2535)) % 54.75/54.94 (define @t2626 () (tptp.hAPP @t2619 @t367)) % 54.75/54.94 (define @t2627 () (tptp.hAPP @t2626 @t365)) % 54.75/54.94 (define @t2628 () (tptp.hAPP @t2521 @t2627)) % 54.75/54.94 (define @t2629 () (tptp.hAPP @t2626 @t288)) % 54.75/54.94 (define @t2630 () (tptp.c_Orderings_Oord__class_Omax @t14)) % 54.75/54.94 (define @t2631 () (tptp.hAPP @t2630 @t16)) % 54.75/54.94 (define @t2632 () (tptp.hAPP @t2631 @t659)) % 54.75/54.94 (define @t2633 () (tptp.hAPP @t2619 @t181)) % 54.75/54.94 (define @t2634 () (tptp.hAPP @t2633 @t274)) % 54.75/54.94 (define @t2635 () (tptp.hBOOL (tptp.hAPP @t600 @t2634))) % 54.75/54.94 (define @t2636 () (tptp.hBOOL (tptp.hAPP @t600 @t274))) % 54.75/54.94 (define @t2637 () (@list @t181 @t274 @t288 @t289)) % 54.75/54.94 (define @t2638 () (tptp.hAPP @t1025 @t57)) % 54.75/54.94 (define @t2639 () (not (=> @t2526 (not @t2524)))) % 54.75/54.94 (define @t2640 () (tptp.hAPP @t956 @t2634)) % 54.75/54.94 (define @t2641 () (tptp.hBOOL (tptp.hAPP @t2640 @t288))) % 54.75/54.94 (define @t2642 () (@list @t288 @t274 @t181 @t289)) % 54.75/54.94 (define @t2643 () (tptp.hBOOL (tptp.hAPP @t962 @t2634))) % 54.75/54.94 (define @t2644 () (and @t2505 @t2504)) % 54.75/54.94 (define @t2645 () (tptp.hAPP @t2609 @t76)) % 54.75/54.94 (define @t2646 () (tptp.hAPP @t2619 @t274)) % 54.75/54.94 (define @t2647 () (tptp.hAPP @t2633 (tptp.hAPP @t2646 @t26))) % 54.75/54.94 (define @t2648 () (tptp.hAPP @t2620 @t2627)) % 54.75/54.94 (define @t2649 () (tptp.c_Product__Type_OPair @t579 @t420)) % 54.75/54.94 (define @t2650 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t579 @t420) @t16)) % 54.75/54.94 (define @t2651 () (tptp.hAPP @t2 @t2650)) % 54.75/54.94 (define @t2652 () (tptp.hAPP @t2617 @t16)) % 54.75/54.94 (define @t2653 () (tptp.hAPP (tptp.hAPP @t2630 @t2559) @t1675)) % 54.75/54.94 (define @t2654 () (tptp.class_Groups_Olinordered__ab__group__add @t289)) % 54.75/54.94 (define @t2655 () (tptp.c_Product__Type_Oapfst @t2443 @t14 @t579 @t1)) % 54.75/54.94 (define @t2656 () (tptp.c_Product__Type_Osnd @t2443 @t579)) % 54.75/54.94 (define @t2657 () (@list @t16 @t1 @t2443 @t2 @t14 @t420 @t579)) % 54.75/54.94 (define @t2658 () (tptp.c_COMBC @t14 @t14 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2659 () (tptp.hAPP @t2658 @t1025)) % 54.75/54.94 (define @t2660 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t359)) % 54.75/54.94 (define @t2661 () (@var "V_seed_2" $$unsorted)) % 54.75/54.94 (define @t2662 () (@var "V_size_2" $$unsorted)) % 54.75/54.94 (define @t2663 () (@var "V_nrandom_2" $$unsorted)) % 54.75/54.94 (define @t2664 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2461 @t2663) @t2662) @t2661)) % 54.75/54.94 (define @t2665 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t16)) % 54.75/54.94 (define @t2666 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t347)) % 54.75/54.94 (define @t2667 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t102)) % 54.75/54.94 (define @t2668 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t510)) % 54.75/54.94 (define @t2669 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t306)) % 54.75/54.94 (define @t2670 () (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t76)) % 54.75/54.94 (define @t2671 () (tptp.c_Nitpick_Ofrac @t289)) % 54.75/54.94 (define @t2672 () (tptp.tc_sum @t14 @t420)) % 54.75/54.94 (define @t2673 () (@list @t2 @t420 @t579 @t14)) % 54.75/54.94 (define @t2674 () (tptp.hAPP (tptp.hAPP @t2025 @t349) @t2018)) % 54.75/54.94 (define @t2675 () (tptp.tc_prod @t420 @t14)) % 54.75/54.94 (define @t2676 () (tptp.hAPP (tptp.c_Random_Oiterate @t420 @t14 @t349 @t2) @t16)) % 54.75/54.94 (define @t2677 () (= @t349 @t2015)) % 54.75/54.94 (define @t2678 () (not @t2677)) % 54.75/54.94 (define @t2679 () (@list @t16 @t2 @t14 @t420 @t349)) % 54.75/54.94 (define @t2680 () (@var "V_h_2" $$unsorted)) % 54.75/54.94 (define @t2681 () (@var "T_g" $$unsorted)) % 54.75/54.94 (define @t2682 () (tptp.tc_fun @t2681 @t420)) % 54.75/54.94 (define @t2683 () (tptp.tc_fun @t2443 @t420)) % 54.75/54.94 (define @t2684 () (tptp.tc_fun @t579 @t2683)) % 54.75/54.94 (define @t2685 () (tptp.tc_prod @t579 @t2443)) % 54.75/54.94 (define @t2686 () (tptp.c_Sum__Type_Osum_Osum__case @t14 @t579 @t420 @t2 @t1)) % 54.75/54.94 (define @t2687 () (@var "V_g2_2" $$unsorted)) % 54.75/54.94 (define @t2688 () (@var "V_g1_2" $$unsorted)) % 54.75/54.94 (define @t2689 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t420 @t579 @t2443 @t14) @t2) @t1) @t16)) % 54.75/54.94 (define @t2690 () (@list @t16 @t1 @t2 @t14 @t2443 @t579 @t420)) % 54.75/54.94 (define @t2691 () (tptp.c_Sum__Type_Osum_Osum__case @t420 @t14 @t579 @t49 @t48)) % 54.75/54.94 (define @t2692 () (tptp.c_Nitpick_Odenom @t14)) % 54.75/54.94 (define @t2693 () (tptp.hAPP @t2692 @t2020)) % 54.75/54.94 (define @t2694 () (tptp.hAPP @t2304 @t1333)) % 54.75/54.94 (define @t2695 () (tptp.c_Nitpick_Onum @t14)) % 54.75/54.94 (define @t2696 () (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2697 () (tptp.hAPP @t2692 @t1435)) % 54.75/54.94 (define @t2698 () (@list @t2020 @t1435 @t14)) % 54.75/54.94 (define @t2699 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t14)) % 54.75/54.94 (define @t2700 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2699) @t2) @t434)) % 54.75/54.94 (define @t2701 () (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP @t2025 @t434) @t2018))) % 54.75/54.94 (define @t2702 () (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind @t420 @t14 @t16 @t2) @t434)) % 54.75/54.94 (define @t2703 () (= @t434 @t2015)) % 54.75/54.94 (define @t2704 () (not @t2703)) % 54.75/54.94 (define @t2705 () (@list @t2 @t16 @t14 @t420 @t434)) % 54.75/54.94 (define @t2706 () (tptp.tc_Option_Ooption @t14)) % 54.75/54.94 (define @t2707 () (tptp.tc_Lazy__Sequence_Olazy__sequence @t2706)) % 54.75/54.94 (define @t2708 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2707) @t2) @t434)) % 54.75/54.94 (define @t2709 () (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind @t420 @t14 @t16 @t2) @t434)) % 54.75/54.94 (define @t2710 () (tptp.hAPP (tptp.hAPP @t51 @t54) @t52)) % 54.75/54.94 (define @t2711 () (tptp.c_Nitpick_Odenom @t289)) % 54.75/54.94 (define @t2712 () (tptp.hAPP @t2711 @t1190)) % 54.75/54.94 (define @t2713 () (tptp.c_Nitpick_Onum @t289)) % 54.75/54.94 (define @t2714 () (tptp.hAPP @t2713 @t1190)) % 54.75/54.94 (define @t2715 () (@list @t1190 @t289)) % 54.75/54.94 (define @t2716 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2707)) % 54.75/54.94 (define @t2717 () (tptp.tc_fun @t2606 @t2716)) % 54.75/54.94 (define @t2718 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2717)) % 54.75/54.94 (define @t2719 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t2606 @t2716) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2717) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2718) @t2) @t2663)) @t2662)) @t2661)) % 54.75/54.94 (define @t2720 () (@list @t2661 @t2662 @t2663 @t2 @t2461 @t14 @t420)) % 54.75/54.94 (define @t2721 () (tptp.hAPP @t2695 (tptp.c_Nitpick_Oplus__frac @t14 @t1435 (tptp.c_Nitpick_Ouminus__frac @t14 @t2020)))) % 54.75/54.94 (define @t2722 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2699)) % 54.75/54.94 (define @t2723 () (tptp.tc_fun @t2606 @t2722)) % 54.75/54.94 (define @t2724 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2723)) % 54.75/54.94 (define @t2725 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t2606 @t2722) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2723) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 tptp.tc_Code__Numeral_Ocode__numeral @t2724) @t2) @t2663)) @t2662)) @t2661)) % 54.75/54.94 (define @t2726 () (tptp.hAPP @t16 @t434)) % 54.75/54.94 (define @t2727 () (@list @t434 @t2 @t16 @t14 @t420)) % 54.75/54.94 (define @t2728 () (@var "V_i_1" $$unsorted)) % 54.75/54.94 (define @t2729 () (tptp.hAPP @t2599 @t16)) % 54.75/54.94 (define @t2730 () (tptp.hBOOL (tptp.hAPP @t2729 @t659))) % 54.75/54.94 (define @t2731 () (tptp.tc_fun @t420 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2732 () (tptp.tc_fun @t14 @t2731)) % 54.75/54.94 (define @t2733 () (tptp.c_Orderings_Oord__class_Oless__eq @t2732)) % 54.75/54.94 (define @t2734 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2733 @t87) @t2599))) % 54.75/54.94 (define @t2735 () (tptp.hAPP @t87 @t16)) % 54.75/54.94 (define @t2736 () (tptp.hBOOL (tptp.hAPP @t2735 @t659))) % 54.75/54.94 (define @t2737 () (tptp.hBOOL @t2729)) % 54.75/54.94 (define @t2738 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t87) @t2599))) % 54.75/54.94 (define @t2739 () (tptp.hBOOL @t2735)) % 54.75/54.94 (define @t2740 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2437 @t420 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2731 @t2437) @t87) @t2551)) @t2550)) % 54.75/54.94 (define @t2741 () (tptp.hAPP @t2403 @t87)) % 54.75/54.94 (define @t2742 () (@list @t87 @t420 @t14)) % 54.75/54.94 (define @t2743 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) % 54.75/54.94 (define @t2744 () (tptp.c_DSequence_Osingle @t14)) % 54.75/54.94 (define @t2745 () (tptp.tc_prod @t14 @t2743)) % 54.75/54.94 (define @t2746 () (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption @t2699)))) % 54.75/54.94 (define @t2747 () (tptp.tc_fun @t2746 @t2746)) % 54.75/54.94 (define @t2748 () (tptp.c_Product__Type_OPair @t2746 @t2606)) % 54.75/54.94 (define @t2749 () (tptp.tc_prod @t2746 @t2606)) % 54.75/54.94 (define @t2750 () (tptp.tc_fun @t2606 @t2749)) % 54.75/54.94 (define @t2751 () (tptp.tc_fun @t2746 @t2750)) % 54.75/54.94 (define @t2752 () (tptp.c_Random__Sequence_ORandom @t14 @t1 @t2663 @t2662)) % 54.75/54.94 (define @t2753 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2155 @t2663) @t2015))) % 54.75/54.94 (define @t2754 () (tptp.hAPP @t2748 (tptp.c_DSequence_Oempty @t14))) % 54.75/54.94 (define @t2755 () (tptp.hAPP @t6 @t257)) % 54.75/54.94 (define @t2756 () (tptp.c_Quickcheck_Obeyond @t359 @t531)) % 54.75/54.94 (define @t2757 () (tptp.hAPP @t2421 @t659)) % 54.75/54.94 (define @t2758 () (tptp.hAPP tptp.c_fequal @t659)) % 54.75/54.94 (define @t2759 () (tptp.hAPP tptp.c_fequal @t16)) % 54.75/54.94 (define @t2760 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 @t14)) % 54.75/54.94 (define @t2761 () (tptp.hAPP @t2760 tptp.c_fconj)) % 54.75/54.94 (define @t2762 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t420)) % 54.75/54.94 (define @t2763 () (tptp.tc_fun @t2731 @t2731)) % 54.75/54.94 (define @t2764 () (tptp.hAPP (tptp.c_COMBB @t2237 @t2763 @t14) @t2762)) % 54.75/54.94 (define @t2765 () (tptp.c_COMBC @t14 @t2731 @t2731)) % 54.75/54.94 (define @t2766 () (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP @t2765 (tptp.hAPP @t2764 (tptp.hAPP @t2761 @t2759))) @t2758))) % 54.75/54.94 (define @t2767 () (@list @t659 @t16 @t420 @t14)) % 54.75/54.94 (define @t2768 () (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 @t2731 @t14) (tptp.hAPP (tptp.c_COMBB @t2437 tptp.tc_HOL_Obool @t420) @t87)) @t2400))) % 54.75/54.94 (define @t2769 () (tptp.c_Random__Sequence_Osingle @t14)) % 54.75/54.94 (define @t2770 () (tptp.hAPP @t2658 tptp.c_fequal)) % 54.75/54.94 (define @t2771 () (tptp.hAPP @t2770 @t54)) % 54.75/54.94 (define @t2772 () (tptp.hAPP (tptp.hAPP @t2431 @t16) @t659)) % 54.75/54.94 (define @t2773 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t14 @t420 tptp.tc_HOL_Obool @t2) @t54) @t52))) % 54.75/54.94 (define @t2774 () (tptp.hBOOL (tptp.hAPP @t2 @t2402))) % 54.75/54.94 (define @t2775 () (tptp.hAPP @t2429 @t2)) % 54.75/54.94 (define @t2776 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2777 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2778 () (tptp.hAPP @t1497 @t821)) % 54.75/54.94 (define @t2779 () (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2780 () (tptp.hAPP @t2779 @t102)) % 54.75/54.94 (define @t2781 () (@list @t102 @t859 @t54)) % 54.75/54.94 (define @t2782 () (tptp.hAPP @t2776 @t288)) % 54.75/54.94 (define @t2783 () (tptp.c_Rings_Odvd__class_Odvd @t289)) % 54.75/54.94 (define @t2784 () (tptp.hAPP @t2783 @t181)) % 54.75/54.94 (define @t2785 () (tptp.c_COMBB @t14 @t14 @t420)) % 54.75/54.94 (define @t2786 () (tptp.hAPP (tptp.hAPP @t2785 @t1631) @t2)) % 54.75/54.94 (define @t2787 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t420 @t14)) % 54.75/54.94 (define @t2788 () (tptp.hAPP (tptp.hAPP @t2787 @t2786) @t1314)) % 54.75/54.94 (define @t2789 () (tptp.hAPP @t2787 @t2)) % 54.75/54.94 (define @t2790 () (tptp.hAPP @t2789 @t1314)) % 54.75/54.94 (define @t2791 () (@list @t1314 @t2 @t420 @t14)) % 54.75/54.94 (define @t2792 () (tptp.c_Rings_Odvd__class_Odvd @t14)) % 54.75/54.94 (define @t2793 () (tptp.c_Divides_Odiv__class_Odiv @t14)) % 54.75/54.94 (define @t2794 () (tptp.hAPP (tptp.hAPP @t2793 @t52) @t54)) % 54.75/54.94 (define @t2795 () (tptp.hAPP @t2792 @t54)) % 54.75/54.94 (define @t2796 () (tptp.hBOOL (tptp.hAPP @t2795 @t52))) % 54.75/54.94 (define @t2797 () (tptp.class_Divides_Osemiring__div @t14)) % 54.75/54.94 (define @t2798 () (tptp.hBOOL (tptp.hAPP @t2784 @t26))) % 54.75/54.94 (define @t2799 () (tptp.hBOOL (tptp.hAPP @t2784 @t274))) % 54.75/54.94 (define @t2800 () (tptp.hBOOL (tptp.hAPP @t2782 @t367))) % 54.75/54.94 (define @t2801 () (tptp.hAPP @t2776 @t367)) % 54.75/54.94 (define @t2802 () (tptp.hBOOL (tptp.hAPP @t2801 @t288))) % 54.75/54.94 (define @t2803 () (and @t2800 (not @t2802))) % 54.75/54.94 (define @t2804 () (tptp.hAPP @t2776 @t365)) % 54.75/54.94 (define @t2805 () (tptp.hBOOL (tptp.hAPP @t2782 @t365))) % 54.75/54.94 (define @t2806 () (and @t2805 (not (tptp.hBOOL (tptp.hAPP @t2804 @t288))))) % 54.75/54.94 (define @t2807 () (tptp.hBOOL (tptp.hAPP @t2801 @t365))) % 54.75/54.94 (define @t2808 () (=> (and @t2807 (not (tptp.hBOOL (tptp.hAPP @t2804 @t367)))) @t2806)) % 54.75/54.94 (define @t2809 () (tptp.hAPP @t2776 @t181)) % 54.75/54.94 (define @t2810 () (tptp.hBOOL (tptp.hAPP @t2809 @t274))) % 54.75/54.94 (define @t2811 () (tptp.hAPP @t2776 @t274)) % 54.75/54.94 (define @t2812 () (tptp.hBOOL (tptp.hAPP @t2811 @t181))) % 54.75/54.94 (define @t2813 () (and @t2810 (not @t2812))) % 54.75/54.94 (define @t2814 () (tptp.hAPP @t2776 @t26)) % 54.75/54.94 (define @t2815 () (tptp.hBOOL (tptp.hAPP @t2809 @t26))) % 54.75/54.94 (define @t2816 () (and @t2815 (not (tptp.hBOOL (tptp.hAPP @t2814 @t181))))) % 54.75/54.94 (define @t2817 () (tptp.hBOOL (tptp.hAPP @t2811 @t26))) % 54.75/54.94 (define @t2818 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t76) @t306))) % 54.75/54.94 (define @t2819 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t306) @t76))) % 54.75/54.94 (define @t2820 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t16) @t659))) % 54.75/54.94 (define @t2821 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t659) @t16))) % 54.75/54.94 (define @t2822 () (and @t2820 (not @t2821))) % 54.75/54.94 (define @t2823 () (tptp.c_SetInterval_Oord__class_OlessThan @t14)) % 54.75/54.94 (define @t2824 () (tptp.hAPP @t2823 @t659)) % 54.75/54.94 (define @t2825 () (tptp.hAPP @t2823 @t16)) % 54.75/54.94 (define @t2826 () (tptp.hAPP @t2783 @t274)) % 54.75/54.94 (define @t2827 () (tptp.hBOOL (tptp.hAPP @t2826 @t26))) % 54.75/54.94 (define @t2828 () (tptp.hAPP @t1641 @t76)) % 54.75/54.94 (define @t2829 () (tptp.hAPP @t2783 @t1999)) % 54.75/54.94 (define @t2830 () (tptp.hAPP @t2783 @t288)) % 54.75/54.94 (define @t2831 () (tptp.hBOOL (tptp.hAPP @t2830 @t367))) % 54.75/54.94 (define @t2832 () (tptp.hAPP @t2792 @t349)) % 54.75/54.94 (define @t2833 () (tptp.hAPP @t2783 @t26)) % 54.75/54.94 (define @t2834 () (tptp.hBOOL (tptp.hAPP @t2833 @t274))) % 54.75/54.94 (define @t2835 () (tptp.hAPP @t2783 @t359)) % 54.75/54.94 (define @t2836 () (tptp.hBOOL (tptp.hAPP @t2835 (tptp.c_Divides_Odiv__class_Omod @t289 @t306 @t76)))) % 54.75/54.94 (define @t2837 () (tptp.hBOOL (tptp.hAPP @t2835 @t76))) % 54.75/54.94 (define @t2838 () (tptp.hBOOL (tptp.hAPP @t2835 @t306))) % 54.75/54.94 (define @t2839 () (@list @t76 @t306 @t359 @t289)) % 54.75/54.94 (define @t2840 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t662) @t661))) % 54.75/54.94 (define @t2841 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t751) @t26))) % 54.75/54.94 (define @t2842 () (tptp.hBOOL (tptp.hAPP @t2784 @t817))) % 54.75/54.94 (define @t2843 () (tptp.hAPP @t2792 @t347)) % 54.75/54.94 (define @t2844 () (tptp.hBOOL (tptp.hAPP @t2843 @t349))) % 54.75/54.94 (define @t2845 () (@list @t349 @t347 @t14)) % 54.75/54.94 (define @t2846 () (tptp.hAPP @t2776 @t359)) % 54.75/54.94 (define @t2847 () (tptp.hBOOL (tptp.hAPP @t2846 @t1447))) % 54.75/54.94 (define @t2848 () (tptp.hBOOL (tptp.hAPP @t2846 @t76))) % 54.75/54.94 (define @t2849 () (tptp.hBOOL (tptp.hAPP @t2846 @t306))) % 54.75/54.94 (define @t2850 () (@var "V_f" $$unsorted)) % 54.75/54.94 (define @t2851 () (tptp.hAPP @t2777 @t2850)) % 54.75/54.94 (define @t2852 () (tptp.hAPP @t2777 @t359)) % 54.75/54.94 (define @t2853 () (=> (tptp.hBOOL (tptp.hAPP @t2852 @t76)) (tptp.hBOOL (tptp.hAPP @t2852 @t306)))) % 54.75/54.94 (define @t2854 () (tptp.hAPP @t2777 @t859)) % 54.75/54.94 (define @t2855 () (tptp.hBOOL (tptp.hAPP @t2854 @t104))) % 54.75/54.94 (define @t2856 () (@list @t104 @t859)) % 54.75/54.94 (define @t2857 () (tptp.hAPP @t2776 @t349)) % 54.75/54.94 (define @t2858 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t14 @t420) @t617) @t2)) % 54.75/54.94 (define @t2859 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t420 tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2860 () (tptp.hAPP @t2792 @t16)) % 54.75/54.94 (define @t2861 () (tptp.hBOOL (tptp.hAPP @t2860 @t659))) % 54.75/54.94 (define @t2862 () (tptp.class_Rings_Ocomm__ring__1 @t14)) % 54.75/54.94 (define @t2863 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t14)) % 54.75/54.94 (define @t2864 () (tptp.hAPP @t2863 @t2)) % 54.75/54.94 (define @t2865 () (tptp.hAPP @t2779 @t436)) % 54.75/54.94 (define @t2866 () (tptp.class_Groups_Ocomm__monoid__add @t14)) % 54.75/54.94 (define @t2867 () (@list @t102 @t2 @t14)) % 54.75/54.94 (define @t2868 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t14 @t420) @t718) @t2)) % 54.75/54.94 (define @t2869 () (tptp.hAPP @t2776 @t347)) % 54.75/54.94 (define @t2870 () (tptp.c_COMBC @t420 @t579 @t14)) % 54.75/54.94 (define @t2871 () (tptp.hAPP @t2870 @t2)) % 54.75/54.94 (define @t2872 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t579 @t14)) % 54.75/54.94 (define @t2873 () (tptp.tc_fun @t579 @t14)) % 54.75/54.94 (define @t2874 () (tptp.c_COMBB @t2873 (tptp.tc_fun @t2462 @t14) @t420)) % 54.75/54.94 (define @t2875 () (tptp.hAPP @t2874 @t2872)) % 54.75/54.94 (define @t2876 () (tptp.c_COMBC @t420 @t2462 @t14)) % 54.75/54.94 (define @t2877 () (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP (tptp.hAPP @t2876 (tptp.hAPP @t2875 @t2)) @t1467)) @t1314)) % 54.75/54.94 (define @t2878 () (@list @t1314 @t1467 @t2 @t579 @t420 @t14)) % 54.75/54.94 (define @t2879 () (tptp.hAPP @t2557 @t15)) % 54.75/54.94 (define @t2880 () (@list @t1314 @t420 @t14)) % 54.75/54.94 (define @t2881 () (tptp.hAPP @t2787 @t1)) % 54.75/54.94 (define @t2882 () (tptp.hAPP @t2881 @t1314)) % 54.75/54.94 (define @t2883 () (tptp.c_COMBB @t14 @t2256 @t420)) % 54.75/54.94 (define @t2884 () (tptp.c_COMBS @t420 @t14 @t14)) % 54.75/54.94 (define @t2885 () (tptp.hAPP (tptp.hAPP @t2884 (tptp.hAPP (tptp.hAPP @t2883 @t329) @t2)) @t1)) % 54.75/54.94 (define @t2886 () (@list @t1314 @t1 @t2 @t420 @t14)) % 54.75/54.94 (define @t2887 () (tptp.hAPP (tptp.hAPP @t2883 @t761) @t2)) % 54.75/54.94 (define @t2888 () (tptp.hAPP @t761 @t2790)) % 54.75/54.94 (define @t2889 () (tptp.class_Rings_Osemiring__0 @t14)) % 54.75/54.94 (define @t2890 () (tptp.c_COMBC @t420 @t14 @t14)) % 54.75/54.94 (define @t2891 () (tptp.hAPP @t2890 @t2887)) % 54.75/54.94 (define @t2892 () (@list @t2020 @t1314 @t2 @t420 @t14)) % 54.75/54.94 (define @t2893 () (tptp.hAPP @t761 @t2020)) % 54.75/54.94 (define @t2894 () (tptp.hAPP (tptp.hAPP @t2884 (tptp.hAPP (tptp.hAPP @t2883 @t1462) @t2)) @t1)) % 54.75/54.94 (define @t2895 () (tptp.hAPP @t2777 @t16)) % 54.75/54.94 (define @t2896 () (tptp.hAPP tptp.c_Int_Onat @t1715)) % 54.75/54.94 (define @t2897 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t57) @t636))) % 54.75/54.94 (define @t2898 () (@list @t347 @t57)) % 54.75/54.94 (define @t2899 () (or @t2055 @t2796)) % 54.75/54.94 (define @t2900 () (tptp.hAPP @t479 @t347)) % 54.75/54.94 (define @t2901 () (tptp.hAPP @t1368 @t288)) % 54.75/54.94 (define @t2902 () (tptp.hAPP @t2783 @t365)) % 54.75/54.94 (define @t2903 () (tptp.hAPP @t2901 @t367)) % 54.75/54.94 (define @t2904 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t367) @t288))) % 54.75/54.94 (define @t2905 () (tptp.hAPP @t1368 @t274)) % 54.75/54.94 (define @t2906 () (tptp.hAPP @t2905 @t181)) % 54.75/54.94 (define @t2907 () (tptp.hAPP @t739 @t2906)) % 54.75/54.94 (define @t2908 () (tptp.hAPP @t748 @t2903)) % 54.75/54.94 (define @t2909 () (tptp.hAPP @t2783 @t1729)) % 54.75/54.94 (define @t2910 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t76) @t306))) % 54.75/54.94 (define @t2911 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t306) @t76))) % 54.75/54.94 (define @t2912 () (tptp.hAPP @t1239 @t347)) % 54.75/54.94 (define @t2913 () (tptp.hAPP @t2777 @t54)) % 54.75/54.94 (define @t2914 () (tptp.hAPP @t2777 @t349)) % 54.75/54.94 (define @t2915 () (tptp.hBOOL (tptp.hAPP @t2869 @t102))) % 54.75/54.94 (define @t2916 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t1041) @t1040))) % 54.75/54.94 (define @t2917 () (tptp.hAPP @t761 @t618)) % 54.75/54.94 (define @t2918 () (tptp.c_COMBB @t14 @t2256 tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2919 () (tptp.hAPP @t329 @t757)) % 54.75/54.94 (define @t2920 () (tptp.hAPP @t761 (tptp.hAPP @t2919 @t757))) % 54.75/54.94 (define @t2921 () (tptp.class_Rings_Ocomm__semiring__1 @t14)) % 54.75/54.94 (define @t2922 () (tptp.hAPP @t329 @t4)) % 54.75/54.94 (define @t2923 () (tptp.class_Rings_Odvd @t14)) % 54.75/54.94 (define @t2924 () (tptp.hAPP @t2792 @t859)) % 54.75/54.94 (define @t2925 () (@list @t4 @t573)) % 54.75/54.94 (define @t2926 () (tptp.hAPP @t1613 @t16)) % 54.75/54.94 (define @t2927 () (tptp.hAPP @t1613 @t659)) % 54.75/54.94 (define @t2928 () (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2929 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 tptp.tc_Nat_Onat) tptp.c_fconj)) % 54.75/54.94 (define @t2930 () (tptp.tc_fun tptp.tc_Nat_Onat @t2237)) % 54.75/54.94 (define @t2931 () (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t2932 () (tptp.tc_fun @t2232 @t2232)) % 54.75/54.94 (define @t2933 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t2232 @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2930 @t2932 tptp.tc_Nat_Onat) @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2930 tptp.tc_Nat_Onat) @t2929) @t2776))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2232 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 @t2928 @t2776)))) % 54.75/54.94 (define @t2934 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t14 @t2933 @t2)) % 54.75/54.94 (define @t2935 () (@list @t659 @t16 @t2 @t14)) % 54.75/54.94 (define @t2936 () (tptp.hAPP @t316 @t54)) % 54.75/54.94 (define @t2937 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2938 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t615) @t2420))) % 54.75/54.94 (define @t2939 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t14 @t2776 @t2)) % 54.75/54.94 (define @t2940 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t347 @t102)) % 54.75/54.94 (define @t2941 () (tptp.hAPP @t2591 @t316)) % 54.75/54.94 (define @t2942 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t14 tptp.tc_Nat_Onat) @t2)) % 54.75/54.94 (define @t2943 () (tptp.hAPP (tptp.hAPP @t2863 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t14 @t14) (tptp.hAPP (tptp.hAPP @t2918 @t1462) @t2)) (tptp.hAPP @t2942 (tptp.hAPP @t2941 @t821)))) @t2940)) % 54.75/54.94 (define @t2944 () (tptp.hAPP @t350 @t821)) % 54.75/54.94 (define @t2945 () (@list @t2 @t102 @t347 @t14)) % 54.75/54.94 (define @t2946 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t821 @t102)) % 54.75/54.94 (define @t2947 () (tptp.hAPP @t2937 @t2)) % 54.75/54.94 (define @t2948 () (@list @t2 @t14)) % 54.75/54.94 (define @t2949 () (tptp.hBOOL (tptp.hAPP @t1068 @t859))) % 54.75/54.94 (define @t2950 () (tptp.hBOOL (tptp.hAPP @t1469 @t54))) % 54.75/54.94 (define @t2951 () (and @t2950 @t2949)) % 54.75/54.94 (define @t2952 () (not @t1059)) % 54.75/54.94 (define @t2953 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t51 @t859)) % 54.75/54.94 (define @t2954 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t54 @t52)) % 54.75/54.94 (define @t2955 () (tptp.hAPP @t2863 (tptp.hAPP @t2942 tptp.c_Nat_OSuc))) % 54.75/54.94 (define @t2956 () (@list @t102 @t347 @t2 @t14)) % 54.75/54.94 (define @t2957 () (tptp.hAPP @t2941 @t349)) % 54.75/54.94 (define @t2958 () (tptp.hAPP @t2863 (tptp.hAPP @t2942 @t2957))) % 54.75/54.94 (define @t2959 () (@list @t102 @t349 @t347 @t2 @t14)) % 54.75/54.94 (define @t2960 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint @t14) @t625) @t2)) % 54.75/54.94 (define @t2961 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t14 tptp.tc_Int_Oint)) % 54.75/54.94 (define @t2962 () (tptp.hAPP (tptp.hAPP @t2961 @t2960) @t1314)) % 54.75/54.94 (define @t2963 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t14 tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2964 () (tptp.hAPP @t2963 @t2)) % 54.75/54.94 (define @t2965 () (tptp.hAPP @t2964 @t1314)) % 54.75/54.94 (define @t2966 () (@list @t1314 @t2 @t14)) % 54.75/54.94 (define @t2967 () (tptp.hAPP @t329 @t656)) % 54.75/54.94 (define @t2968 () (tptp.hAPP @t2864 @t2940)) % 54.75/54.94 (define @t2969 () (tptp.hAPP @t2 @t436)) % 54.75/54.94 (define @t2970 () (tptp.hAPP @t329 @t2968)) % 54.75/54.94 (define @t2971 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t347 @t436)) % 54.75/54.94 (define @t2972 () (tptp.hAPP @t2864 @t2971)) % 54.75/54.94 (define @t2973 () (tptp.hBOOL (tptp.hAPP @t2251 @t347))) % 54.75/54.94 (define @t2974 () (@list @t2 @t347 @t102 @t14)) % 54.75/54.94 (define @t2975 () (tptp.hAPP @t350 @t1601)) % 54.75/54.94 (define @t2976 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t19 @t102)) % 54.75/54.94 (define @t2977 () (tptp.c_member tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t2978 () (tptp.hAPP @t2977 @t4)) % 54.75/54.94 (define @t2979 () (tptp.hBOOL (tptp.hAPP @t2978 @t2976))) % 54.75/54.94 (define @t2980 () (tptp.hBOOL (tptp.hAPP @t87 @t563))) % 54.75/54.94 (define @t2981 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t563) @t102))) % 54.75/54.94 (define @t2982 () (@list @t87 @t102)) % 54.75/54.94 (define @t2983 () (tptp.hAPP @t2599 @t4)) % 54.75/54.94 (define @t2984 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t19)) % 54.75/54.94 (define @t2985 () (tptp.hAPP @t2984 @t102)) % 54.75/54.94 (define @t2986 () (tptp.hBOOL (tptp.hAPP @t2978 @t2985))) % 54.75/54.94 (define @t2987 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t563) @t102))) % 54.75/54.94 (define @t2988 () (= @t52 @t859)) % 54.75/54.94 (define @t2989 () (= @t54 @t51)) % 54.75/54.94 (define @t2990 () (and @t2989 @t2988)) % 54.75/54.94 (define @t2991 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t51) @t859)) % 54.75/54.94 (define @t2992 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t54) @t52)) % 54.75/54.94 (define @t2993 () (= @t2992 @t2991)) % 54.75/54.94 (define @t2994 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1525 @t1572)) % 54.75/54.94 (define @t2995 () (tptp.hAPP tptp.c_Nat_OSuc @t1572)) % 54.75/54.94 (define @t2996 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1525)) % 54.75/54.94 (define @t2997 () (@list @t1572 @t1525)) % 54.75/54.94 (define @t2998 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t347)) % 54.75/54.94 (define @t2999 () (tptp.hAPP @t2998 @t102)) % 54.75/54.94 (define @t3000 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t519)) % 54.75/54.94 (define @t3001 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t434)) % 54.75/54.94 (define @t3002 () (tptp.hAPP @t1025 @t434)) % 54.75/54.94 (define @t3003 () (tptp.hAPP @t2864 (tptp.hAPP @t2998 @t1601))) % 54.75/54.94 (define @t3004 () (tptp.hAPP @t2864 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t102) @t1601))) % 54.75/54.94 (define @t3005 () (tptp.hAPP @t2864 @t2999)) % 54.75/54.94 (define @t3006 () (tptp.hAPP @t329 @t3005)) % 54.75/54.94 (define @t3007 () (tptp.hBOOL (tptp.hAPP @t1063 @t1601))) % 54.75/54.94 (define @t3008 () (@list @t2 @t1601 @t102 @t347 @t14)) % 54.75/54.94 (define @t3009 () (tptp.hAPP @t2998 @t436)) % 54.75/54.94 (define @t3010 () (tptp.hAPP @t2864 @t3009)) % 54.75/54.94 (define @t3011 () (tptp.hAPP @t1451 @t2574)) % 54.75/54.94 (define @t3012 () (tptp.hAPP @t948 @t104)) % 54.75/54.94 (define @t3013 () (tptp.hBOOL (tptp.hAPP @t3012 @t4))) % 54.75/54.94 (define @t3014 () (@var "B_xa" $$unsorted)) % 54.75/54.94 (define @t3015 () (@var "B_xb" $$unsorted)) % 54.75/54.94 (define @t3016 () (tptp.c_member tptp.tc_Int_Oint)) % 54.75/54.94 (define @t3017 () (tptp.hAPP @t3016 @t3015)) % 54.75/54.94 (define @t3018 () (@list @t3015)) % 54.75/54.94 (define @t3019 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t734 @t2574)) % 54.75/54.94 (define @t3020 () (tptp.hAPP @t3016 @t3014)) % 54.75/54.94 (define @t3021 () (tptp.hBOOL (tptp.hAPP @t3020 @t3019))) % 54.75/54.94 (define @t3022 () (@list @t3014)) % 54.75/54.94 (define @t3023 () (forall @t3022 (=> @t3021 (forall @t3018 (=> (tptp.hBOOL (tptp.hAPP @t3017 @t1314)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t1440 @t3015) @t3014)))))))) % 54.75/54.94 (define @t3024 () (tptp.hBOOL (tptp.hAPP @t642 @t2574))) % 54.75/54.94 (define @t3025 () (@list @t104 @t1314 @t2574)) % 54.75/54.94 (define @t3026 () (tptp.hAPP @t1597 @t2574)) % 54.75/54.94 (define @t3027 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t4) @t104))) % 54.75/54.94 (define @t3028 () (forall @t3022 (=> @t3021 (forall @t3018 (=> (tptp.hBOOL (tptp.hAPP @t3017 @t1467)) (not (= @t4 (tptp.hAPP (tptp.hAPP @t630 @t3015) @t3014)))))))) % 54.75/54.94 (define @t3029 () (@list @t104 @t1467 @t2574)) % 54.75/54.94 (define @t3030 () (tptp.hAPP @t3016 @t4)) % 54.75/54.94 (define @t3031 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t4) @t104))) % 54.75/54.94 (define @t3032 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t1525 @t1572)) % 54.75/54.94 (define @t3033 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t1525)) % 54.75/54.94 (define @t3034 () (tptp.hAPP @t632 @t104)) % 54.75/54.94 (define @t3035 () (tptp.hBOOL (tptp.hAPP @t3034 @t4))) % 54.75/54.94 (define @t3036 () (tptp.hBOOL (tptp.hAPP @t2854 (tptp.hAPP (tptp.hAPP @t630 @t3026) @t104)))) % 54.75/54.94 (define @t3037 () (tptp.hBOOL (tptp.hAPP @t2854 (tptp.hAPP @t1451 @t104)))) % 54.75/54.94 (define @t3038 () (tptp.hBOOL (tptp.hAPP @t2854 @t2574))) % 54.75/54.94 (define @t3039 () (@list @t104 @t1467 @t2574 @t859)) % 54.75/54.94 (define @t3040 () (tptp.hBOOL (tptp.hAPP @t2854 (tptp.hAPP (tptp.hAPP @t630 @t3011) @t104)))) % 54.75/54.94 (define @t3041 () (@list @t104 @t1314 @t2574 @t859)) % 54.75/54.94 (define @t3042 () (not @t3037)) % 54.75/54.94 (define @t3043 () (tptp.hAPP tptp.c_Int_Onat @t1572)) % 54.75/54.94 (define @t3044 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint @t625)) % 54.75/54.94 (define @t3045 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t624)) % 54.75/54.94 (define @t3046 () (tptp.hAPP @t3045 @t1572)) % 54.75/54.94 (define @t3047 () (@list @t1572)) % 54.75/54.94 (define @t3048 () (tptp.hAPP @t2863 @t87)) % 54.75/54.94 (define @t3049 () (tptp.hAPP @t2 @t257)) % 54.75/54.94 (define @t3050 () (tptp.hAPP @t479 @t6)) % 54.75/54.94 (define @t3051 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t4) @t257))) % 54.75/54.94 (define @t3052 () (tptp.c_Set_Oimage @t14 @t14 @t758)) % 54.75/54.94 (define @t3053 () (tptp.c_COMBB @t420 @t14 @t579)) % 54.75/54.94 (define @t3054 () (tptp.c_Set_Oimage @t579 @t420 @t1)) % 54.75/54.94 (define @t3055 () (tptp.c_Set_Oimage @t420 @t14 @t2)) % 54.75/54.94 (define @t3056 () (tptp.hAPP @t3044 @t1467)) % 54.75/54.94 (define @t3057 () (tptp.hAPP @t3044 @t1314)) % 54.75/54.94 (define @t3058 () (tptp.c_Orderings_Oord__class_Oless @t2377)) % 54.75/54.94 (define @t3059 () (tptp.c_Orderings_Oord__class_Oless @t2232)) % 54.75/54.94 (define @t3060 () (@list @t1467 @t1314)) % 54.75/54.94 (define @t3061 () (tptp.c_Orderings_Oord__class_Oless__eq @t2377)) % 54.75/54.94 (define @t3062 () (tptp.c_Orderings_Oord__class_Oless__eq @t2232)) % 54.75/54.94 (define @t3063 () (tptp.hAPP @t3062 @t1314)) % 54.75/54.94 (define @t3064 () (@var "B_AA" $$unsorted)) % 54.75/54.94 (define @t3065 () (tptp.c_Orderings_Oord__class_Oless__eq @t2731)) % 54.75/54.94 (define @t3066 () (tptp.hAPP @t3055 @t1314)) % 54.75/54.94 (define @t3067 () (tptp.hBOOL (tptp.hAPP @t2487 @t3066))) % 54.75/54.94 (define @t3068 () (tptp.c_Set_Oimage @t14 @t420 @t2)) % 54.75/54.94 (define @t3069 () (tptp.hAPP @t3068 @t1467)) % 54.75/54.94 (define @t3070 () (tptp.hAPP @t3068 @t1314)) % 54.75/54.94 (define @t3071 () (tptp.hAPP @t3065 @t3070)) % 54.75/54.94 (define @t3072 () (tptp.hBOOL (tptp.hAPP @t3071 @t3069))) % 54.75/54.94 (define @t3073 () (@list @t2 @t420 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t3074 () (tptp.c_Groups_Ominus__class_Ominus @t2731)) % 54.75/54.94 (define @t3075 () (tptp.hAPP @t3074 @t1314)) % 54.75/54.94 (define @t3076 () (tptp.hAPP @t3075 @t1467)) % 54.75/54.94 (define @t3077 () (tptp.hAPP @t3055 @t1467)) % 54.75/54.94 (define @t3078 () (@list @t1467 @t1314 @t2 @t420 @t14)) % 54.75/54.94 (define @t3079 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t1525 @t1572)) % 54.75/54.94 (define @t3080 () (tptp.hAPP tptp.c_Nat_OSuc @t1525)) % 54.75/54.94 (define @t3081 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint @t14)) % 54.75/54.94 (define @t3082 () (tptp.class_Groups_Ocomm__monoid__mult @t14)) % 54.75/54.94 (define @t3083 () (and @t2866 @t3082)) % 54.75/54.94 (define @t3084 () (tptp.hBOOL (tptp.hAPP @t449 @t6))) % 54.75/54.94 (define @t3085 () (tptp.c_member @t14)) % 54.75/54.94 (define @t3086 () (tptp.hAPP @t3085 @t4)) % 54.75/54.94 (define @t3087 () (tptp.hBOOL (tptp.hAPP @t3086 @t1314))) % 54.75/54.94 (define @t3088 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t14 @t420)) % 54.75/54.94 (define @t3089 () (tptp.hAPP @t3088 @t1)) % 54.75/54.94 (define @t3090 () (tptp.hAPP @t3088 @t2)) % 54.75/54.94 (define @t3091 () (tptp.hAPP @t479 @t4)) % 54.75/54.94 (define @t3092 () (tptp.class_Groups_Ocomm__monoid__add @t420)) % 54.75/54.94 (define @t3093 () (tptp.hAPP @t1440 @t1572)) % 54.75/54.94 (define @t3094 () (tptp.hAPP @t3093 @t1525)) % 54.75/54.94 (define @t3095 () (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint)) % 54.75/54.94 (define @t3096 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t14)) % 54.75/54.94 (define @t3097 () (tptp.hAPP @t3096 @t16)) % 54.75/54.94 (define @t3098 () (tptp.hAPP tptp.c_Int_Onat @t3094)) % 54.75/54.94 (define @t3099 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t1525 @t1572)) % 54.75/54.94 (define @t3100 () (tptp.hAPP @t3096 @t659)) % 54.75/54.94 (define @t3101 () (tptp.hAPP tptp.c_Nat_OSuc @t1531)) % 54.75/54.94 (define @t3102 () (tptp.hAPP tptp.c_Nat_OSuc @t434)) % 54.75/54.94 (define @t3103 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t434)) % 54.75/54.94 (define @t3104 () (tptp.hAPP @t3103 @t1531)) % 54.75/54.94 (define @t3105 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc)) % 54.75/54.94 (define @t3106 () (@list @t1531 @t434)) % 54.75/54.94 (define @t3107 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t434 @t1531)) % 54.75/54.94 (define @t3108 () (tptp.hAPP (tptp.hAPP @t316 @t1531) @t349)) % 54.75/54.94 (define @t3109 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2957)) % 54.75/54.94 (define @t3110 () (@list @t1531 @t434 @t349)) % 54.75/54.94 (define @t3111 () (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat @t14) @t821)) % 54.75/54.94 (define @t3112 () (tptp.c_Finite__Set_Ocard @t14)) % 54.75/54.94 (define @t3113 () (tptp.hAPP @t3112 @t1314)) % 54.75/54.94 (define @t3114 () (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat)) % 54.75/54.94 (define @t3115 () (@list @t1314)) % 54.75/54.94 (define @t3116 () (tptp.c_Finite__Set_Ocard @t420)) % 54.75/54.94 (define @t3117 () (tptp.hAPP @t3116 @t1314)) % 54.75/54.94 (define @t3118 () (tptp.hAPP @t3033 @t1572)) % 54.75/54.94 (define @t3119 () (tptp.hAPP (tptp.hAPP @t630 @t1525) @t734)) % 54.75/54.94 (define @t3120 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t1525 @t1572)) % 54.75/54.94 (define @t3121 () (tptp.hAPP @t3114 @t1314)) % 54.75/54.94 (define @t3122 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t14 tptp.tc_Nat_Onat) @t2) @t625)) % 54.75/54.94 (define @t3123 () (tptp.hAPP @t3081 @t2)) % 54.75/54.94 (define @t3124 () (tptp.hAPP @t3123 @t1314)) % 54.75/54.94 (define @t3125 () (tptp.c_Nat__Transfer_Onat__set @t1314)) % 54.75/54.94 (define @t3126 () (@list @t2 @t1314 @t14)) % 54.75/54.94 (define @t3127 () (tptp.hAPP @t3114 @t1467)) % 54.75/54.94 (define @t3128 () (tptp.c_Nat__Transfer_Onat__set @t1467)) % 54.75/54.94 (define @t3129 () (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3130 () (tptp.hAPP @t1445 @t1572)) % 54.75/54.94 (define @t3131 () (tptp.hAPP @t3130 @t1525)) % 54.75/54.94 (define @t3132 () (tptp.hAPP @t2996 @t1572)) % 54.75/54.94 (define @t3133 () (@var "V_S_2" $$unsorted)) % 54.75/54.94 (define @t3134 () (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t16 @t659))) % 54.75/54.94 (define @t3135 () (tptp.hAPP @t3129 @t1314)) % 54.75/54.94 (define @t3136 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t349) (tptp.hAPP @t355 @t3135))) % 54.75/54.94 (define @t3137 () (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3138 () (tptp.hAPP @t3137 @t102)) % 54.75/54.94 (define @t3139 () (forall @t8 (=> @t1144 @t7))) % 54.75/54.94 (define @t3140 () (@list @t1 @t2 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t3141 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t1525 @t1572)) % 54.75/54.94 (define @t3142 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t347 @t1572)) % 54.75/54.94 (define @t3143 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t1525 @t347)) % 54.75/54.94 (define @t3144 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2359)) % 54.75/54.94 (define @t3145 () (tptp.hAPP @t3144 @t3143)) % 54.75/54.94 (define @t3146 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t347) @t1572))) % 54.75/54.94 (define @t3147 () (tptp.hAPP @t479 @t1525)) % 54.75/54.94 (define @t3148 () (tptp.hBOOL (tptp.hAPP @t3147 @t347))) % 54.75/54.94 (define @t3149 () (@list @t1572 @t347 @t1525 @t14)) % 54.75/54.94 (define @t3150 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t1525)) % 54.75/54.94 (define @t3151 () (tptp.hAPP @t3150 @t1572)) % 54.75/54.94 (define @t3152 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t347 @t1572)) % 54.75/54.94 (define @t3153 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t1525 @t347)) % 54.75/54.94 (define @t3154 () (tptp.hAPP @t3144 @t3153)) % 54.75/54.94 (define @t3155 () (tptp.hBOOL (tptp.hAPP @t2900 @t1572))) % 54.75/54.94 (define @t3156 () (tptp.hAPP @t1025 @t1525)) % 54.75/54.94 (define @t3157 () (tptp.hBOOL (tptp.hAPP @t3156 @t347))) % 54.75/54.94 (define @t3158 () (tptp.hAPP @t3144 @t1314)) % 54.75/54.94 (define @t3159 () (tptp.hAPP @t3158 @t1467)) % 54.75/54.94 (define @t3160 () (tptp.hBOOL (tptp.hAPP @t3159 @t16))) % 54.75/54.94 (define @t3161 () (tptp.hBOOL @t1315)) % 54.75/54.94 (define @t3162 () (tptp.hBOOL @t1468)) % 54.75/54.94 (define @t3163 () (not @t3162)) % 54.75/54.94 (define @t3164 () (@list @t16 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t3165 () (tptp.c_SetInterval_Oord__class_OatMost @t14)) % 54.75/54.94 (define @t3166 () (tptp.hAPP @t3165 @t1572)) % 54.75/54.94 (define @t3167 () (tptp.hAPP @t3165 @t1525)) % 54.75/54.94 (define @t3168 () (tptp.hAPP @t3144 @t3167)) % 54.75/54.94 (define @t3169 () (tptp.hBOOL (tptp.hAPP @t3156 @t1572))) % 54.75/54.94 (define @t3170 () (@list @t1572 @t1525 @t14)) % 54.75/54.94 (define @t3171 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2731)) % 54.75/54.94 (define @t3172 () (tptp.hAPP @t3171 @t1314)) % 54.75/54.94 (define @t3173 () (tptp.hAPP @t3172 @t1467)) % 54.75/54.94 (define @t3174 () (@list @t1467 @t1314 @t2 @t14 @t420)) % 54.75/54.94 (define @t3175 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2377)) % 54.75/54.94 (define @t3176 () (tptp.hAPP (tptp.hAPP @t3175 @t1314) @t1467)) % 54.75/54.94 (define @t3177 () (tptp.hBOOL (tptp.hAPP @t3086 @t1467))) % 54.75/54.94 (define @t3178 () (tptp.hBOOL (tptp.hAPP @t3086 @t3159))) % 54.75/54.94 (define @t3179 () (@list @t87 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t3180 () (tptp.hAPP @t3144 @t1467)) % 54.75/54.94 (define @t3181 () (tptp.hAPP @t3180 @t2575)) % 54.75/54.94 (define @t3182 () (tptp.hAPP @t3158 @t3181)) % 54.75/54.94 (define @t3183 () (tptp.hAPP @t3158 @t2575)) % 54.75/54.94 (define @t3184 () (tptp.hAPP @t3180 @t1314)) % 54.75/54.94 (define @t3185 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t14)) % 54.75/54.94 (define @t3186 () (tptp.class_Lattices_Olattice @t14)) % 54.75/54.94 (define @t3187 () (@list @t16 @t1 @t2 @t420 @t14)) % 54.75/54.94 (define @t3188 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289)) % 54.75/54.94 (define @t3189 () (tptp.hAPP @t3188 @t367)) % 54.75/54.94 (define @t3190 () (tptp.hAPP @t3189 @t365)) % 54.75/54.94 (define @t3191 () (tptp.hAPP @t3188 @t288)) % 54.75/54.94 (define @t3192 () (tptp.hAPP @t3191 @t3190)) % 54.75/54.94 (define @t3193 () (tptp.hAPP @t3191 @t367)) % 54.75/54.94 (define @t3194 () (= (tptp.hAPP (tptp.hAPP @t3188 @t3193) @t365) @t3192)) % 54.75/54.94 (define @t3195 () (tptp.class_Lattices_Osemilattice__sup @t289)) % 54.75/54.94 (define @t3196 () (tptp.class_Lattices_Olattice @t289)) % 54.75/54.94 (define @t3197 () (tptp.hAPP @t3188 @t274)) % 54.75/54.94 (define @t3198 () (tptp.hAPP @t3188 @t181)) % 54.75/54.94 (define @t3199 () (tptp.hAPP @t3198 (tptp.hAPP @t3197 @t26))) % 54.75/54.94 (define @t3200 () (tptp.hAPP @t3198 @t274)) % 54.75/54.94 (define @t3201 () (tptp.hAPP @t3191 @t365)) % 54.75/54.94 (define @t3202 () (= @t3192 (tptp.hAPP @t3189 @t3201))) % 54.75/54.94 (define @t3203 () (= (tptp.hAPP @t3191 @t3193) @t3193)) % 54.75/54.94 (define @t3204 () (tptp.hAPP @t3189 @t288)) % 54.75/54.94 (define @t3205 () (= @t3193 @t3204)) % 54.75/54.94 (define @t3206 () (= (tptp.hAPP @t3191 @t288) @t288)) % 54.75/54.94 (define @t3207 () (tptp.hAPP @t2578 @t2575)) % 54.75/54.94 (define @t3208 () (tptp.hAPP @t2571 @t2575)) % 54.75/54.94 (define @t3209 () (tptp.hAPP @t2578 @t1314)) % 54.75/54.94 (define @t3210 () (@list @t1314 @t1467 @t14)) % 54.75/54.94 (define @t3211 () (tptp.hAPP @t3158 @t3209)) % 54.75/54.94 (define @t3212 () (tptp.class_Lattices_Osemilattice__sup @t14)) % 54.75/54.94 (define @t3213 () (tptp.hAPP @t3165 @t659)) % 54.75/54.94 (define @t3214 () (tptp.hAPP @t3165 @t16)) % 54.75/54.94 (define @t3215 () (tptp.hBOOL (tptp.hAPP @t600 @t3200))) % 54.75/54.94 (define @t3216 () (= @t3159 @t1467)) % 54.75/54.94 (define @t3217 () (tptp.hAPP @t2360 @t3159)) % 54.75/54.94 (define @t3218 () (@list @t1467 @t2575 @t1314 @t14)) % 54.75/54.94 (define @t3219 () (tptp.hAPP @t3144 @t2575)) % 54.75/54.94 (define @t3220 () (tptp.hBOOL (tptp.hAPP @t2487 @t2574))) % 54.75/54.94 (define @t3221 () (@list @t2574 @t1467 @t2575 @t1314 @t14)) % 54.75/54.94 (define @t3222 () (tptp.hAPP @t956 @t3200)) % 54.75/54.94 (define @t3223 () (tptp.hBOOL (tptp.hAPP @t3222 @t288))) % 54.75/54.94 (define @t3224 () (tptp.hBOOL (tptp.hAPP @t962 @t3200))) % 54.75/54.94 (define @t3225 () (tptp.hAPP @t3185 @t16)) % 54.75/54.94 (define @t3226 () (tptp.hAPP @t3225 @t659)) % 54.75/54.94 (define @t3227 () (tptp.hBOOL (tptp.hAPP @t1002 @t3193))) % 54.75/54.94 (define @t3228 () (tptp.hBOOL (tptp.hAPP @t962 @t3193))) % 54.75/54.94 (define @t3229 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t1525 @t1572)) % 54.75/54.94 (define @t3230 () (tptp.hAPP @t2823 @t1525)) % 54.75/54.94 (define @t3231 () (tptp.hAPP @t3144 @t3230)) % 54.75/54.94 (define @t3232 () (tptp.hAPP @t2823 @t1572)) % 54.75/54.94 (define @t3233 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t1525 @t1572)) % 54.75/54.94 (define @t3234 () (tptp.hBOOL (tptp.hAPP @t3147 @t1572))) % 54.75/54.94 (define @t3235 () (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t347) @t1572)) % 54.75/54.94 (define @t3236 () (tptp.hAPP @t3150 @t347)) % 54.75/54.94 (define @t3237 () (tptp.hAPP @t3144 @t3236)) % 54.75/54.94 (define @t3238 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2232)) % 54.75/54.94 (define @t3239 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t347 @t1572)) % 54.75/54.94 (define @t3240 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t1525 @t347)) % 54.75/54.94 (define @t3241 () (tptp.hAPP @t3144 @t3240)) % 54.75/54.94 (define @t3242 () (tptp.hAPP @t3144 @t2583)) % 54.75/54.94 (define @t3243 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t1525 @t1572)) % 54.75/54.94 (define @t3244 () (tptp.hAPP @t3137 @t349)) % 54.75/54.94 (define @t3245 () (tptp.hAPP @t2779 @t969)) % 54.75/54.94 (define @t3246 () (tptp.hAPP @t3096 @t1525)) % 54.75/54.94 (define @t3247 () (tptp.hAPP @t3096 @t1572)) % 54.75/54.94 (define @t3248 () (tptp.hAPP @t3165 @t349)) % 54.75/54.94 (define @t3249 () (tptp.hAPP @t3096 @t349)) % 54.75/54.94 (define @t3250 () (tptp.c_SetInterval_Oord__class_OatLeast @t14)) % 54.75/54.94 (define @t3251 () (tptp.hAPP @t3250 @t1572)) % 54.75/54.94 (define @t3252 () (tptp.hAPP @t3144 @t3233)) % 54.75/54.94 (define @t3253 () (tptp.hAPP @t3250 @t1525)) % 54.75/54.94 (define @t3254 () (@var "V_M_2" $$unsorted)) % 54.75/54.94 (define @t3255 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2359)) % 54.75/54.94 (define @t3256 () (tptp.hAPP @t3255 @t3138)) % 54.75/54.94 (define @t3257 () (tptp.hAPP @t2776 @t51)) % 54.75/54.94 (define @t3258 () (tptp.hAPP @t2776 @t52)) % 54.75/54.94 (define @t3259 () (tptp.hBOOL (tptp.hAPP @t3258 @t859))) % 54.75/54.94 (define @t3260 () (tptp.hAPP @t2776 @t54)) % 54.75/54.94 (define @t3261 () (tptp.hBOOL (tptp.hAPP @t3257 @t54))) % 54.75/54.94 (define @t3262 () (tptp.hBOOL (tptp.hAPP @t3260 @t52))) % 54.75/54.94 (define @t3263 () (not @t3262)) % 54.75/54.94 (define @t3264 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2776 @t51 @t859)) % 54.75/54.94 (define @t3265 () (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2776 @t54 @t52)) % 54.75/54.94 (define @t3266 () (@list @t859 @t51 @t52 @t54)) % 54.75/54.94 (define @t3267 () (tptp.hAPP @t3250 @t659)) % 54.75/54.94 (define @t3268 () (tptp.hAPP @t3250 @t16)) % 54.75/54.94 (define @t3269 () (tptp.hAPP @t1467 @t4)) % 54.75/54.94 (define @t3270 () (tptp.hAPP @t3269 @t52)) % 54.75/54.94 (define @t3271 () (tptp.hBOOL @t3270)) % 54.75/54.94 (define @t3272 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t2731)) % 54.75/54.94 (define @t3273 () (tptp.hAPP @t3272 @t1314)) % 54.75/54.94 (define @t3274 () (tptp.hAPP @t3273 @t1467)) % 54.75/54.94 (define @t3275 () (tptp.hBOOL (tptp.hAPP @t3274 @t52))) % 54.75/54.94 (define @t3276 () (@list @t52 @t1467 @t1314 @t420 @t14)) % 54.75/54.94 (define @t3277 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3278 () (tptp.hAPP @t3277 @t349)) % 54.75/54.94 (define @t3279 () (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3280 () (tptp.hAPP @t3279 @t969)) % 54.75/54.94 (define @t3281 () (tptp.hAPP @t3250 @t349)) % 54.75/54.94 (define @t3282 () (tptp.hAPP @t2823 @t349)) % 54.75/54.94 (define @t3283 () (tptp.hAPP @t3144 @t3151)) % 54.75/54.94 (define @t3284 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t420)) % 54.75/54.94 (define @t3285 () (tptp.hAPP @t3284 @t1314)) % 54.75/54.94 (define @t3286 () (tptp.hAPP @t3285 @t2)) % 54.75/54.94 (define @t3287 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t420)) % 54.75/54.94 (define @t3288 () (@list @t2 @t1467 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3289 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t2359)) % 54.75/54.94 (define @t3290 () (tptp.hAPP @t3289 @t2575)) % 54.75/54.94 (define @t3291 () (tptp.hAPP @t3290 @t1314)) % 54.75/54.94 (define @t3292 () (tptp.hAPP (tptp.hAPP @t2570 @t3291) @t1467)) % 54.75/54.94 (define @t3293 () (tptp.tc_fun @t2359 @t2359)) % 54.75/54.94 (define @t3294 () (tptp.c_COMBB @t2359 @t3293 @t420)) % 54.75/54.94 (define @t3295 () (tptp.c_COMBC @t420 @t2359 @t2359)) % 54.75/54.94 (define @t3296 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t3295 (tptp.hAPP (tptp.hAPP @t3294 @t2570) @t1314)) @t1467))) % 54.75/54.94 (define @t3297 () (@list @t1467 @t1314 @t2575 @t14 @t420)) % 54.75/54.94 (define @t3298 () (@list @t1467 @t1314 @t2575 @t420 @t14)) % 54.75/54.94 (define @t3299 () (tptp.hAPP @t2871 @t16)) % 54.75/54.94 (define @t3300 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t14)) % 54.75/54.94 (define @t3301 () (tptp.hAPP @t3300 @t1314)) % 54.75/54.94 (define @t3302 () (tptp.class_Complete__Lattice_Ocomplete__lattice @t14)) % 54.75/54.94 (define @t3303 () (@list @t16 @t2 @t1314 @t579 @t420 @t14)) % 54.75/54.94 (define @t3304 () (tptp.hAPP @t3085 @t3014)) % 54.75/54.94 (define @t3305 () (tptp.c_member @t420)) % 54.75/54.94 (define @t3306 () (tptp.hAPP @t3305 @t4)) % 54.75/54.94 (define @t3307 () (tptp.hBOOL (tptp.hAPP @t3306 @t1314))) % 54.75/54.94 (define @t3308 () (tptp.hAPP @t3289 @t1314)) % 54.75/54.94 (define @t3309 () (tptp.hAPP @t3308 @t1467)) % 54.75/54.94 (define @t3310 () (tptp.c_COMBB @t1316 @t14 @t579)) % 54.75/54.94 (define @t3311 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t579 @t14) @t1467)) % 54.75/54.94 (define @t3312 () (tptp.c_COMBB @t2873 @t14 @t420)) % 54.75/54.94 (define @t3313 () (@list @t2 @t1467 @t579 @t1314 @t420 @t14)) % 54.75/54.94 (define @t3314 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t2462)) % 54.75/54.94 (define @t3315 () (tptp.hAPP (tptp.hAPP @t3314 @t1314) @t1467)) % 54.75/54.94 (define @t3316 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t579 @t2359)) % 54.75/54.94 (define @t3317 () (tptp.tc_fun @t579 @t2359)) % 54.75/54.94 (define @t3318 () (tptp.c_COMBB @t2462 (tptp.tc_fun @t3317 @t2359) @t420)) % 54.75/54.94 (define @t3319 () (tptp.c_COMBC @t420 @t3317 @t2359)) % 54.75/54.94 (define @t3320 () (@list @t2575 @t1467 @t579 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3321 () (tptp.tc_fun @t420 @t2359)) % 54.75/54.94 (define @t3322 () (tptp.c_COMBB @t2731 (tptp.tc_fun @t3321 @t2359) @t579)) % 54.75/54.94 (define @t3323 () (tptp.c_COMBC @t579 @t3321 @t2359)) % 54.75/54.94 (define @t3324 () (tptp.hAPP @t3316 @t1314)) % 54.75/54.94 (define @t3325 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t579 @t2731) @t1314) @t1467)) % 54.75/54.94 (define @t3326 () (@list @t2575 @t1467 @t1314 @t579 @t14 @t420)) % 54.75/54.94 (define @t3327 () (tptp.hAPP @t3254 @t4)) % 54.75/54.94 (define @t3328 () (and @t3302 @t704)) % 54.75/54.94 (define @t3329 () (tptp.hAPP @t1314 @t4)) % 54.75/54.94 (define @t3330 () (@var "V_I_2" $$unsorted)) % 54.75/54.94 (define @t3331 () (tptp.hBOOL (tptp.hAPP @t3306 @t3330))) % 54.75/54.94 (define @t3332 () (tptp.hAPP @t3289 @t3330)) % 54.75/54.94 (define @t3333 () (tptp.hAPP @t3332 @t1314)) % 54.75/54.94 (define @t3334 () (@list @t1467 @t1314 @t3330 @t420 @t14)) % 54.75/54.94 (define @t3335 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t2359 @t579) @t1467) @t2)) % 54.75/54.94 (define @t3336 () (tptp.hAPP (tptp.c_Set_Oimage @t579 @t420 @t2) @t1314)) % 54.75/54.94 (define @t3337 () (@list @t1467 @t1314 @t2 @t579 @t14 @t420)) % 54.75/54.94 (define @t3338 () (tptp.c_COMBB @t2731 @t2359 @t579)) % 54.75/54.94 (define @t3339 () (tptp.hAPP (tptp.c_Set_Oimage @t420 @t579 @t2) @t1314)) % 54.75/54.94 (define @t3340 () (tptp.hAPP @t3316 @t3339)) % 54.75/54.94 (define @t3341 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t579 @t2359 @t420) @t1467) @t2)) % 54.75/54.94 (define @t3342 () (@list @t2 @t1467 @t579 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3343 () (tptp.hAPP @t3289 @t1467)) % 54.75/54.94 (define @t3344 () (@list @t3254 @t1467 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3345 () (tptp.hAPP (tptp.hAPP @t3294 @t3144) @t1314)) % 54.75/54.94 (define @t3346 () (tptp.c_COMBS @t420 @t2359 @t2359)) % 54.75/54.94 (define @t3347 () (tptp.hAPP (tptp.hAPP @t3346 @t3345) @t1467)) % 54.75/54.94 (define @t3348 () (@list @t1467 @t1314 @t3330 @t14 @t420)) % 54.75/54.94 (define @t3349 () (tptp.c_Orderings_Otop__class_Otop @t2232)) % 54.75/54.94 (define @t3350 () (tptp.hAPP (tptp.hAPP @t630 @t1231) @t734)) % 54.75/54.94 (define @t3351 () (tptp.c_Wellfounded_Oaccp @t2224 tptp.c_List_Oupto__rel)) % 54.75/54.94 (define @t3352 () (@list @t138 @t14)) % 54.75/54.94 (define @t3353 () (tptp.c_Orderings_Otop__class_Otop @t2359)) % 54.75/54.94 (define @t3354 () (@list @t1467 @t14)) % 54.75/54.94 (define @t3355 () (tptp.c_Orderings_Otop__class_Otop @t14)) % 54.75/54.94 (define @t3356 () (@list @t16 @t420 @t14)) % 54.75/54.94 (define @t3357 () (tptp.c_Orderings_Otop__class_Otop @t2731)) % 54.75/54.94 (define @t3358 () (tptp.c_Set_Oimage @t420 @t579 @t1)) % 54.75/54.94 (define @t3359 () (tptp.c_Set_Oimage @t579 @t14 @t2)) % 54.75/54.94 (define @t3360 () (tptp.c_Orderings_Otop__class_Otop @t289)) % 54.75/54.94 (define @t3361 () (tptp.class_Lattices_Obounded__lattice__top @t289)) % 54.75/54.94 (define @t3362 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t2232) @t3349)) % 54.75/54.94 (define @t3363 () (tptp.c_Groups_Ouminus__class_Ouminus @t2731)) % 54.75/54.94 (define @t3364 () (tptp.hAPP @t3363 @t1314)) % 54.75/54.94 (define @t3365 () (tptp.hAPP @t3055 @t3357)) % 54.75/54.94 (define @t3366 () (= @t3365 @t3353)) % 54.75/54.94 (define @t3367 () (@list @t1314 @t2 @t14 @t420)) % 54.75/54.94 (define @t3368 () (tptp.hAPP @t3188 @t775)) % 54.75/54.94 (define @t3369 () (tptp.hAPP @t3255 @t3349)) % 54.75/54.94 (define @t3370 () (tptp.hAPP @t3369 @t1314)) % 54.75/54.94 (define @t3371 () (tptp.tc_fun tptp.tc_Nat_Onat @t2359)) % 54.75/54.94 (define @t3372 () (tptp.hAPP @t3369 @t1467)) % 54.75/54.94 (define @t3373 () (tptp.hAPP @t2360 @t3370)) % 54.75/54.94 (define @t3374 () (tptp.hAPP (tptp.hAPP @t3255 (tptp.hAPP @t2984 (tptp.hAPP (tptp.hAPP @t316 @t176) @t349))) @t1467)) % 54.75/54.94 (define @t3375 () (tptp.hAPP (tptp.hAPP @t3255 (tptp.hAPP @t2984 @t176)) @t1314)) % 54.75/54.94 (define @t3376 () (tptp.hAPP @t2360 @t3375)) % 54.75/54.94 (define @t3377 () (@list @t1467 @t349 @t1314 @t14)) % 54.75/54.94 (define @t3378 () (@list @t2575 @t1314 @t14)) % 54.75/54.94 (define @t3379 () (@var "V_Abs_2" $$unsorted)) % 54.75/54.94 (define @t3380 () (@var "V_Rep_2" $$unsorted)) % 54.75/54.94 (define @t3381 () (tptp.c_Typedef_Otype__definition @t14 @t420 @t3380 @t3379 @t1314)) % 54.75/54.94 (define @t3382 () (@list @t1314 @t3379 @t3380 @t420 @t14)) % 54.75/54.94 (define @t3383 () (tptp.c_Set_Oinsert tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3384 () (tptp.hAPP @t3383 @t19)) % 54.75/54.94 (define @t3385 () (tptp.hAPP @t2964 @t1467)) % 54.75/54.94 (define @t3386 () (tptp.hAPP @t1445 @t2965)) % 54.75/54.94 (define @t3387 () (tptp.c_Finite__Set_Ofinite @t14)) % 54.75/54.94 (define @t3388 () (tptp.hBOOL (tptp.hAPP @t3387 @t1467))) % 54.75/54.94 (define @t3389 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat)) % 54.75/54.94 (define @t3390 () (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint)) % 54.75/54.94 (define @t3391 () (tptp.hAPP @t2779 @t349)) % 54.75/54.94 (define @t3392 () (tptp.c_Set_Oinsert @t14)) % 54.75/54.94 (define @t3393 () (tptp.hAPP @t3392 @t54)) % 54.75/54.94 (define @t3394 () (tptp.hAPP @t3393 @t1467)) % 54.75/54.94 (define @t3395 () (@list @t1467 @t54 @t1314 @t14)) % 54.75/54.94 (define @t3396 () (@var "V_N_2" $$unsorted)) % 54.75/54.94 (define @t3397 () (tptp.hBOOL (tptp.hAPP @t2978 @t3396))) % 54.75/54.94 (define @t3398 () (tptp.hBOOL (tptp.hAPP @t3389 @t3396))) % 54.75/54.94 (define @t3399 () (@list @t3396)) % 54.75/54.94 (define @t3400 () (tptp.hAPP @t2360 @t2575)) % 54.75/54.94 (define @t3401 () (tptp.hAPP @t3392 @t52)) % 54.75/54.94 (define @t3402 () (tptp.hAPP @t3401 @t1467)) % 54.75/54.94 (define @t3403 () (tptp.hAPP @t3392 @t16)) % 54.75/54.94 (define @t3404 () (tptp.hAPP @t3403 @t1314)) % 54.75/54.94 (define @t3405 () (@list @t1314 @t16 @t14)) % 54.75/54.94 (define @t3406 () (tptp.hAPP @t3392 @t659)) % 54.75/54.94 (define @t3407 () (tptp.hAPP @t3406 @t1314)) % 54.75/54.94 (define @t3408 () (@list @t1314 @t659 @t16 @t14)) % 54.75/54.94 (define @t3409 () (= @t659 @t16)) % 54.75/54.94 (define @t3410 () (tptp.c_Set_Oinsert @t420)) % 54.75/54.94 (define @t3411 () (tptp.hAPP @t3410 @t54)) % 54.75/54.94 (define @t3412 () (tptp.hAPP @t3411 @t1467)) % 54.75/54.94 (define @t3413 () (tptp.c_Groups_Ozero__class_Ozero @t420)) % 54.75/54.94 (define @t3414 () (tptp.hAPP @t3089 @t1314)) % 54.75/54.94 (define @t3415 () (tptp.hBOOL (tptp.hAPP @t3387 @t1314))) % 54.75/54.94 (define @t3416 () (not @t3415)) % 54.75/54.94 (define @t3417 () (=> @t3416 (= @t3414 @t3413))) % 54.75/54.94 (define @t3418 () (@list @t1 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3419 () (tptp.hAPP @t3090 @t1314)) % 54.75/54.94 (define @t3420 () (@list @t2 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3421 () (tptp.hAPP @t3383 @t349)) % 54.75/54.94 (define @t3422 () (tptp.hAPP @t3383 @t969)) % 54.75/54.94 (define @t3423 () (@var "V_F_2" $$unsorted)) % 54.75/54.94 (define @t3424 () (tptp.hBOOL (tptp.hAPP @t3086 @t3423))) % 54.75/54.94 (define @t3425 () (tptp.hBOOL (tptp.hAPP @t3387 @t3423))) % 54.75/54.94 (define @t3426 () (@list @t2 @t3423 @t14)) % 54.75/54.94 (define @t3427 () (tptp.hAPP @t1467 @t54)) % 54.75/54.94 (define @t3428 () (tptp.hAPP @t3411 @t1314)) % 54.75/54.94 (define @t3429 () (@list @t1467 @t1314 @t54 @t14 @t420)) % 54.75/54.94 (define @t3430 () (tptp.c_Groups_Oplus__class_Oplus @t420)) % 54.75/54.94 (define @t3431 () (tptp.hAPP @t3430 @t3414)) % 54.75/54.94 (define @t3432 () (tptp.tc_fun @t420 @t420)) % 54.75/54.94 (define @t3433 () (tptp.c_COMBB @t420 @t3432 @t14)) % 54.75/54.94 (define @t3434 () (tptp.c_COMBS @t14 @t420 @t420)) % 54.75/54.94 (define @t3435 () (@list @t2680 @t1 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3436 () (tptp.hAPP @t2 @t3014)) % 54.75/54.94 (define @t3437 () (= @t4 @t3014)) % 54.75/54.94 (define @t3438 () (not @t3437)) % 54.75/54.94 (define @t3439 () (tptp.hBOOL (tptp.hAPP @t3304 @t1314))) % 54.75/54.94 (define @t3440 () (forall @t3022 (=> @t3439 (=> @t3438 (= @t3436 @t19))))) % 54.75/54.94 (define @t3441 () (= @t6 @t821)) % 54.75/54.94 (define @t3442 () (tptp.hAPP @t3380 @t16)) % 54.75/54.94 (define @t3443 () (@list @t659 @t16 @t1314 @t3379 @t3380 @t420 @t14)) % 54.75/54.94 (define @t3444 () (@list @t16 @t1314 @t3379 @t3380 @t420 @t14)) % 54.75/54.94 (define @t3445 () (tptp.hAPP @t3090 @t1467)) % 54.75/54.94 (define @t3446 () (tptp.c_Groups_Ominus__class_Ominus @t420)) % 54.75/54.94 (define @t3447 () (tptp.hAPP @t3446 @t3419)) % 54.75/54.94 (define @t3448 () (tptp.class_Groups_Oab__group__add @t420)) % 54.75/54.94 (define @t3449 () (tptp.hAPP @t3112 @t1467)) % 54.75/54.94 (define @t3450 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t3113) @t3449))) % 54.75/54.94 (define @t3451 () (tptp.hAPP @t3112 @t2572)) % 54.75/54.94 (define @t3452 () (tptp.hAPP @t1445 @t3113)) % 54.75/54.94 (define @t3453 () (tptp.hAPP @t3452 @t3449)) % 54.75/54.94 (define @t3454 () (tptp.hBOOL (tptp.hAPP @t3387 @t2572))) % 54.75/54.94 (define @t3455 () (tptp.hAPP @t3393 @t1314)) % 54.75/54.94 (define @t3456 () (tptp.hBOOL (tptp.hAPP @t3387 @t3455))) % 54.75/54.94 (define @t3457 () (@list @t54 @t1314 @t14)) % 54.75/54.94 (define @t3458 () (tptp.c_Set_Oimage @t14 @t420 @t2680)) % 54.75/54.94 (define @t3459 () (tptp.c_Finite__Set_Ofinite @t420)) % 54.75/54.94 (define @t3460 () (@list @t2680 @t420 @t3423 @t14)) % 54.75/54.94 (define @t3461 () (tptp.tc_fun @t2706 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3462 () (tptp.c_Orderings_Otop__class_Otop @t3461)) % 54.75/54.94 (define @t3463 () (tptp.class_Finite__Set_Ofinite @t14)) % 54.75/54.94 (define @t3464 () (@list @t1314 @t54 @t14)) % 54.75/54.94 (define @t3465 () (tptp.hBOOL (tptp.hAPP @t3387 @t3353))) % 54.75/54.94 (define @t3466 () (tptp.c_Finite__Set_Ofinite @t2706)) % 54.75/54.94 (define @t3467 () (tptp.hBOOL (tptp.hAPP @t3459 @t3357))) % 54.75/54.94 (define @t3468 () (tptp.tc_fun @t2672 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3469 () (tptp.c_Orderings_Otop__class_Otop @t3468)) % 54.75/54.94 (define @t3470 () (tptp.c_Finite__Set_Ofinite @t2672)) % 54.75/54.94 (define @t3471 () (@list @t420 @t14)) % 54.75/54.94 (define @t3472 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t1007 tptp.tc_HOL_Obool))) % 54.75/54.94 (define @t3473 () (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t1007) @t3472))) % 54.75/54.94 (define @t3474 () (tptp.tc_fun @t2437 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3475 () (tptp.c_Orderings_Otop__class_Otop @t3474)) % 54.75/54.94 (define @t3476 () (tptp.c_Finite__Set_Ofinite @t2437)) % 54.75/54.94 (define @t3477 () (@var "V_G_2" $$unsorted)) % 54.75/54.94 (define @t3478 () (tptp.hBOOL (tptp.hAPP @t3387 (tptp.hAPP (tptp.hAPP @t3144 @t3423) @t3477)))) % 54.75/54.94 (define @t3479 () (tptp.hBOOL (tptp.hAPP @t3387 @t3477))) % 54.75/54.94 (define @t3480 () (@list @t3477 @t3423 @t14)) % 54.75/54.94 (define @t3481 () (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP @t3459 @t3269))))) % 54.75/54.94 (define @t3482 () (tptp.hBOOL (tptp.hAPP @t3459 @t3274))) % 54.75/54.94 (define @t3483 () (@list @t1467 @t420 @t1314 @t14)) % 54.75/54.94 (define @t3484 () (tptp.hBOOL (tptp.hAPP @t3459 @t1467))) % 54.75/54.94 (define @t3485 () (tptp.hAPP @t3065 @t1467)) % 54.75/54.94 (define @t3486 () (tptp.hBOOL (tptp.hAPP @t3485 @t3070))) % 54.75/54.94 (define @t3487 () (tptp.hAPP @t2571 @t3394)) % 54.75/54.94 (define @t3488 () (= @t3113 @t19)) % 54.75/54.94 (define @t3489 () (=> @t3416 @t3488)) % 54.75/54.94 (define @t3490 () (tptp.hAPP @t3112 @t3353)) % 54.75/54.94 (define @t3491 () (tptp.c_Set_Oimage @t420 @t14 @t1)) % 54.75/54.94 (define @t3492 () (tptp.hBOOL (tptp.hAPP @t449 @t3113))) % 54.75/54.94 (define @t3493 () (tptp.hAPP @t3112 @t3404)) % 54.75/54.94 (define @t3494 () (tptp.hAPP @t963 @t3113)) % 54.75/54.94 (define @t3495 () (@list @t16 @t1314 @t14)) % 54.75/54.94 (define @t3496 () (tptp.hAPP @t3116 @t3070)) % 54.75/54.94 (define @t3497 () (@list @t2 @t420 @t1314 @t14)) % 54.75/54.94 (define @t3498 () (tptp.c_Orderings_Obot__class_Obot @t2232)) % 54.75/54.94 (define @t3499 () (tptp.hAPP @t2591 @t1445)) % 54.75/54.94 (define @t3500 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3499 @t51)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t16) @t659))) % 54.75/54.94 (define @t3501 () (tptp.hAPP @t3384 @t3498)) % 54.75/54.94 (define @t3502 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t51) @t659))) % 54.75/54.94 (define @t3503 () (tptp.hAPP @t1006 @t3419)) % 54.75/54.94 (define @t3504 () (tptp.hBOOL (tptp.hAPP @t3503 @t3445))) % 54.75/54.94 (define @t3505 () (tptp.hAPP @t1006 @t3413)) % 54.75/54.94 (define @t3506 () (tptp.class_Groups_Oordered__ab__semigroup__add @t420)) % 54.75/54.94 (define @t3507 () (@list @t2 @t1314 @t1467 @t14 @t420)) % 54.75/54.94 (define @t3508 () (tptp.c_Sum__Type_OPlus @t14 @t420 @t1314 @t1467)) % 54.75/54.94 (define @t3509 () (tptp.hAPP (tptp.c_Finite__Set_Ocard @t2672) @t3508)) % 54.75/54.94 (define @t3510 () (and @t3415 @t3484)) % 54.75/54.94 (define @t3511 () (tptp.hAPP @t3116 @t1467)) % 54.75/54.94 (define @t3512 () (tptp.hAPP @t316 @t3113)) % 54.75/54.94 (define @t3513 () (= @t3509 (tptp.hAPP @t3512 @t3511))) % 54.75/54.94 (define @t3514 () (tptp.c_Orderings_Obot__class_Obot @t2359)) % 54.75/54.94 (define @t3515 () (tptp.hAPP @t3392 @t51)) % 54.75/54.94 (define @t3516 () (tptp.hAPP @t3401 @t3514)) % 54.75/54.94 (define @t3517 () (tptp.hAPP @t3393 @t3516)) % 54.75/54.94 (define @t3518 () (tptp.hAPP @t3393 @t3514)) % 54.75/54.94 (define @t3519 () (= @t1467 @t3514)) % 54.75/54.94 (define @t3520 () (= @t1314 @t3514)) % 54.75/54.94 (define @t3521 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 54.75/54.94 (define @t3522 () (tptp.c_Orderings_Obot__class_Obot @t2731)) % 54.75/54.94 (define @t3523 () (= @t1467 @t3522)) % 54.75/54.94 (define @t3524 () (@list @t1467 @t1314 @t420 @t14)) % 54.75/54.94 (define @t3525 () (= @t1314 @t3522)) % 54.75/54.94 (define @t3526 () (@list @t2 @t14 @t420)) % 54.75/54.94 (define @t3527 () (tptp.c_Orderings_Obot__class_Obot @t289)) % 54.75/54.94 (define @t3528 () (tptp.c_COMBK @t420 @t14)) % 54.75/54.94 (define @t3529 () (tptp.hAPP @t3528 @t3254)) % 54.75/54.94 (define @t3530 () (not @t3520)) % 54.75/54.94 (define @t3531 () (@list @t3254 @t14 @t1314 @t420)) % 54.75/54.94 (define @t3532 () (forall @t8 (=> @t3307 (= @t3269 @t3514)))) % 54.75/54.94 (define @t3533 () (tptp.c_COMBK @t2359 @t420)) % 54.75/54.94 (define @t3534 () (tptp.c_COMBK @t2731 @t14)) % 54.75/54.94 (define @t3535 () (tptp.hAPP @t3534 @t51)) % 54.75/54.94 (define @t3536 () (tptp.hAPP @t3273 @t3535)) % 54.75/54.94 (define @t3537 () (@list @t51 @t420 @t14 @t1314)) % 54.75/54.94 (define @t3538 () (@list @t1467 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3539 () (tptp.class_Lattices_Obounded__lattice__bot @t289)) % 54.75/54.94 (define @t3540 () (tptp.hBOOL (tptp.hAPP @t3470 @t3508))) % 54.75/54.94 (define @t3541 () (@list @t1 @t420 @t14)) % 54.75/54.94 (define @t3542 () (@list @t2 @t420 @t14)) % 54.75/54.94 (define @t3543 () (tptp.hAPP @t3403 @t3514)) % 54.75/54.94 (define @t3544 () (= @t2954 @t3514)) % 54.75/54.94 (define @t3545 () (tptp.hAPP @t2571 @t3518)) % 54.75/54.94 (define @t3546 () (tptp.hAPP @t3393 @t3545)) % 54.75/54.94 (define @t3547 () (= @t2992 @t3514)) % 54.75/54.94 (define @t3548 () (not @t481)) % 54.75/54.94 (define @t3549 () (and @t767 @t328)) % 54.75/54.94 (define @t3550 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t349 @t1525)) % 54.75/54.94 (define @t3551 () (= @t3550 @t3514)) % 54.75/54.94 (define @t3552 () (tptp.hBOOL (tptp.hAPP @t3156 @t349))) % 54.75/54.94 (define @t3553 () (@list @t349 @t1525 @t14)) % 54.75/54.94 (define @t3554 () (tptp.hAPP @t479 @t349)) % 54.75/54.94 (define @t3555 () (not (tptp.hBOOL (tptp.hAPP @t3554 @t1525)))) % 54.75/54.94 (define @t3556 () (@list @t1525 @t349 @t14)) % 54.75/54.94 (define @t3557 () (tptp.hAPP (tptp.c_Set_Oimage @t14 @t420 (tptp.hAPP @t3528 @t51)) @t1314)) % 54.75/54.94 (define @t3558 () (= @t3557 (tptp.hAPP (tptp.hAPP @t3410 @t51) @t3522))) % 54.75/54.94 (define @t3559 () (tptp.hAPP @t3272 @t2575)) % 54.75/54.94 (define @t3560 () (tptp.hAPP @t3559 @t1467)) % 54.75/54.94 (define @t3561 () (tptp.hAPP @t3411 @t3560)) % 54.75/54.94 (define @t3562 () (tptp.c_COMBB @t2731 @t2731 @t14)) % 54.75/54.94 (define @t3563 () (tptp.hAPP (tptp.hAPP @t3562 @t3411) @t1467)) % 54.75/54.94 (define @t3564 () (tptp.hAPP @t3559 @t3563)) % 54.75/54.94 (define @t3565 () (= @t2575 @t3514)) % 54.75/54.94 (define @t3566 () (not @t3565)) % 54.75/54.94 (define @t3567 () (@list @t1467 @t54 @t420 @t14 @t2575)) % 54.75/54.94 (define @t3568 () (tptp.c_COMBC @t14 @t2359 @t2359)) % 54.75/54.94 (define @t3569 () (tptp.hAPP (tptp.hAPP @t3568 @t3392) @t3514)) % 54.75/54.94 (define @t3570 () (tptp.hAPP @t3411 @t3522)) % 54.75/54.94 (define @t3571 () (= @t3265 @t3498)) % 54.75/54.94 (define @t3572 () (tptp.hBOOL (tptp.hAPP @t3258 @t54))) % 54.75/54.94 (define @t3573 () (tptp.hAPP @t3172 @t3560)) % 54.75/54.94 (define @t3574 () (tptp.hAPP @t3559 (tptp.hAPP (tptp.hAPP @t3562 @t3172) @t1467))) % 54.75/54.94 (define @t3575 () (@list @t1467 @t1314 @t420 @t14 @t2575)) % 54.75/54.94 (define @t3576 () (tptp.hAPP (tptp.hAPP @t3171 (tptp.hAPP @t3559 @t1314)) @t1467)) % 54.75/54.94 (define @t3577 () (tptp.c_COMBB @t2731 @t2763 @t14)) % 54.75/54.94 (define @t3578 () (tptp.hAPP (tptp.hAPP @t3577 @t3171) @t1314)) % 54.75/54.94 (define @t3579 () (tptp.hAPP @t3559 (tptp.hAPP (tptp.hAPP @t2765 @t3578) @t1467))) % 54.75/54.94 (define @t3580 () (tptp.hAPP (tptp.hAPP @t3392 @t349) @t3514)) % 54.75/54.94 (define @t3581 () (tptp.hAPP (tptp.hAPP @t3383 @t54) @t3498)) % 54.75/54.94 (define @t3582 () (tptp.c_Groups_Ominus__class_Ominus @t2232)) % 54.75/54.94 (define @t3583 () (tptp.hAPP (tptp.hAPP @t3392 @t1572) @t3514)) % 54.75/54.94 (define @t3584 () (tptp.hAPP @t3144 (tptp.hAPP (tptp.hAPP @t3392 @t1525) @t3514))) % 54.75/54.94 (define @t3585 () (tptp.hAPP @t2571 @t3543)) % 54.75/54.94 (define @t3586 () (tptp.hAPP @t3430 @t1005)) % 54.75/54.94 (define @t3587 () (tptp.hAPP @t3586 (tptp.hAPP @t3089 @t3585))) % 54.75/54.94 (define @t3588 () (tptp.hAPP @t3089 @t3404)) % 54.75/54.94 (define @t3589 () (@list @t16 @t1 @t1314 @t14 @t420)) % 54.75/54.94 (define @t3590 () (tptp.hAPP @t3112 @t3585)) % 54.75/54.94 (define @t3591 () (tptp.hAPP tptp.c_Nat_OSuc @t3590)) % 54.75/54.94 (define @t3592 () (tptp.hAPP @t1137 @t3590)) % 54.75/54.94 (define @t3593 () (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t14)) % 54.75/54.94 (define @t3594 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t1525) @t349))) % 54.75/54.94 (define @t3595 () (@list @t349 @t1525)) % 54.75/54.94 (define @t3596 () (tptp.hAPP @t292 @t16)) % 54.75/54.94 (define @t3597 () (tptp.c_Orderings_Obot__class_Obot @t2377)) % 54.75/54.94 (define @t3598 () (tptp.hAPP (tptp.hAPP @t630 @t434) @t734)) % 54.75/54.94 (define @t3599 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t434 @t1531)) % 54.75/54.94 (define @t3600 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1531) @t434))) % 54.75/54.94 (define @t3601 () (@var "V_xo_2" $$unsorted)) % 54.75/54.94 (define @t3602 () (tptp.c_Option_Oset @t14 @t3601)) % 54.75/54.94 (define @t3603 () (tptp.tc_fun tptp.tc_Nat_Onat @t2932)) % 54.75/54.94 (define @t3604 () (tptp.tc_fun tptp.tc_Nat_Onat @t2232)) % 54.75/54.94 (define @t3605 () (tptp.hAPP tptp.c_Int_ORep__Integ @t57)) % 54.75/54.94 (define @t3606 () (tptp.hAPP @t3085 @t16)) % 54.75/54.94 (define @t3607 () (tptp.hBOOL (tptp.hAPP @t3606 @t1314))) % 54.75/54.94 (define @t3608 () (not @t3607)) % 54.75/54.94 (define @t3609 () (=> @t3607 (= @t3590 (tptp.hAPP @t3452 @t821)))) % 54.75/54.94 (define @t3610 () (tptp.hAPP @t3410 @t16)) % 54.75/54.94 (define @t3611 () (tptp.hAPP @t3610 @t3522)) % 54.75/54.94 (define @t3612 () (tptp.hAPP @t2 @t1005)) % 54.75/54.94 (define @t3613 () (tptp.hAPP @t3612 (tptp.hAPP @t3423 (tptp.hAPP @t3075 @t3611)))) % 54.75/54.94 (define @t3614 () (tptp.hAPP @t3610 @t1314)) % 54.75/54.94 (define @t3615 () (tptp.hAPP @t3423 @t3614)) % 54.75/54.94 (define @t3616 () (tptp.hBOOL (tptp.hAPP @t3459 @t1314))) % 54.75/54.94 (define @t3617 () (tptp.c_Finite__Set_Ofolding__image__simple @t14 @t420 @t2 @t57 @t1 @t3423)) % 54.75/54.94 (define @t3618 () (@list @t16 @t1314 @t3423 @t1 @t57 @t2 @t420 @t14)) % 54.75/54.94 (define @t3619 () (tptp.hAPP @t3085 @t51)) % 54.75/54.94 (define @t3620 () (tptp.hBOOL (tptp.hAPP @t3619 @t1467))) % 54.75/54.94 (define @t3621 () (tptp.hBOOL (tptp.hAPP @t3619 @t1314))) % 54.75/54.94 (define @t3622 () (not @t3621)) % 54.75/54.94 (define @t3623 () (=> @t3622 @t3620)) % 54.75/54.94 (define @t3624 () (not @t3620)) % 54.75/54.94 (define @t3625 () (=> @t3621 @t3624)) % 54.75/54.94 (define @t3626 () (tptp.tc_fun @t420 @t2462)) % 54.75/54.94 (define @t3627 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t3626)) % 54.75/54.94 (define @t3628 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3627 @t1314) @t1467) @t52) @t51))) % 54.75/54.94 (define @t3629 () (tptp.hAPP @t3427 @t52)) % 54.75/54.94 (define @t3630 () (tptp.hBOOL (tptp.hAPP @t3629 @t51))) % 54.75/54.94 (define @t3631 () (tptp.hAPP @t3085 @t54)) % 54.75/54.94 (define @t3632 () (tptp.hBOOL (tptp.hAPP @t3631 @t1314))) % 54.75/54.94 (define @t3633 () (tptp.hBOOL (tptp.hAPP @t3631 @t3402))) % 54.75/54.94 (define @t3634 () (tptp.hBOOL (tptp.hAPP @t3631 @t1467))) % 54.75/54.94 (define @t3635 () (not @t3634)) % 54.75/54.94 (define @t3636 () (@list @t52 @t1467 @t54 @t14)) % 54.75/54.94 (define @t3637 () (tptp.hAPP @t3401 @t1314)) % 54.75/54.94 (define @t3638 () (tptp.hBOOL (tptp.hAPP @t3631 @t3637))) % 54.75/54.94 (define @t3639 () (@list @t1314 @t52 @t54 @t14)) % 54.75/54.94 (define @t3640 () (=> @t3621 @t3620)) % 54.75/54.94 (define @t3641 () (@list @t51 @t1467 @t1314 @t14)) % 54.75/54.94 (define @t3642 () (tptp.hAPP @t3085 @t52)) % 54.75/54.94 (define @t3643 () (tptp.hAPP @t3305 @t16)) % 54.75/54.94 (define @t3644 () (tptp.hBOOL (tptp.hAPP @t3643 @t1314))) % 54.75/54.94 (define @t3645 () (= @t52 @t615)) % 54.75/54.94 (define @t3646 () (tptp.hBOOL (tptp.hAPP @t3619 @t3159))) % 54.75/54.94 (define @t3647 () (@list @t1467 @t1314 @t51 @t14)) % 54.75/54.94 (define @t3648 () (@list @t1314 @t1467 @t51 @t14)) % 54.75/54.94 (define @t3649 () (tptp.hBOOL (tptp.hAPP @t3619 @t2572))) % 54.75/54.94 (define @t3650 () (tptp.hBOOL (tptp.hAPP @t3619 @t2583))) % 54.75/54.94 (define @t3651 () (@list @t1314 @t51 @t14)) % 54.75/54.94 (define @t3652 () (tptp.hBOOL @t3629)) % 54.75/54.94 (define @t3653 () (tptp.hAPP @t3305 @t52)) % 54.75/54.94 (define @t3654 () (tptp.hBOOL (tptp.hAPP @t3653 @t3427))) % 54.75/54.94 (define @t3655 () (@list @t1467 @t52 @t420 @t1314 @t54 @t14)) % 54.75/54.94 (define @t3656 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t579 @t2359) @t51)) % 54.75/54.94 (define @t3657 () (tptp.hAPP @t3085 @t57)) % 54.75/54.94 (define @t3658 () (tptp.c_member @t579)) % 54.75/54.94 (define @t3659 () (tptp.c_member @t2437)) % 54.75/54.94 (define @t3660 () (tptp.hAPP @t3659 @t2402)) % 54.75/54.94 (define @t3661 () (tptp.c_Sum__Type_OInr @t14 @t420)) % 54.75/54.94 (define @t3662 () (tptp.tc_sum @t420 @t14)) % 54.75/54.94 (define @t3663 () (tptp.hBOOL (tptp.hAPP @t3642 @t1467))) % 54.75/54.94 (define @t3664 () (@list @t1467 @t420 @t1314 @t54 @t14)) % 54.75/54.94 (define @t3665 () (tptp.c_Orderings_Obot__class_Obot @t3474)) % 54.75/54.94 (define @t3666 () (tptp.hAPP @t3659 @t2757)) % 54.75/54.94 (define @t3667 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t2732) @t16) @t659))) % 54.75/54.94 (define @t3668 () (not @t3087)) % 54.75/54.94 (define @t3669 () (exists @t8 @t3087)) % 54.75/54.94 (define @t3670 () (not @t3632)) % 54.75/54.94 (define @t3671 () (@list @t2 @t420 @t1314 @t16 @t14)) % 54.75/54.94 (define @t3672 () (tptp.hAPP @t2977 @t16)) % 54.75/54.94 (define @t3673 () (@list @t1314 @t16)) % 54.75/54.94 (define @t3674 () (@var "V_less__eq_2" $$unsorted)) % 54.75/54.94 (define @t3675 () (tptp.hAPP @t3674 @t434)) % 54.75/54.94 (define @t3676 () (tptp.hBOOL (tptp.hAPP @t3675 @t1572))) % 54.75/54.94 (define @t3677 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3674 @t1525) @t434))) % 54.75/54.94 (define @t3678 () (tptp.hAPP @t3085 @t434)) % 54.75/54.94 (define @t3679 () (= @t2461 @t3133)) % 54.75/54.94 (define @t3680 () (tptp.tc_fun @t3474 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3681 () (tptp.tc_fun @t420 @t3680)) % 54.75/54.94 (define @t3682 () (tptp.hAPP (tptp.c_COMBC @t14 @t3474 @t2731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3681 (tptp.tc_fun @t3474 @t2731) @t14) (tptp.c_COMBC @t420 @t3474 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 @t3681 @t14) (tptp.hAPP (tptp.c_COMBB @t2437 @t3680 @t420) @t3659)) @t2400)))) % 54.75/54.94 (define @t3683 () (tptp.hAPP @t3682 @t3133)) % 54.75/54.94 (define @t3684 () (tptp.hAPP @t3682 @t2461)) % 54.75/54.94 (define @t3685 () (@list @t3133 @t2461 @t420 @t14)) % 54.75/54.94 (define @t3686 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3474)) % 54.75/54.94 (define @t3687 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2732)) % 54.75/54.94 (define @t3688 () (@list @t659 @t16 @t3133 @t2461 @t420 @t14)) % 54.75/54.94 (define @t3689 () (tptp.hAPP (tptp.c_COMBC @t14 @t2359 tptp.tc_HOL_Obool) @t3085)) % 54.75/54.94 (define @t3690 () (tptp.hAPP @t3689 @t3133)) % 54.75/54.94 (define @t3691 () (tptp.hAPP @t3689 @t2461)) % 54.75/54.94 (define @t3692 () (@list @t3133 @t2461 @t14)) % 54.75/54.94 (define @t3693 () (@list @t16 @t3133 @t2461 @t14)) % 54.75/54.94 (define @t3694 () (tptp.hBOOL (tptp.hAPP @t3606 @t1467))) % 54.75/54.94 (define @t3695 () (@list @t1467 @t1314 @t16 @t14)) % 54.75/54.94 (define @t3696 () (tptp.hAPP tptp.c_Int_ORep__Integ @t16)) % 54.75/54.94 (define @t3697 () (tptp.hAPP @t3085 @t659)) % 54.75/54.94 (define @t3698 () (tptp.hBOOL (tptp.hAPP @t3697 @t1314))) % 54.75/54.94 (define @t3699 () (tptp.hBOOL (tptp.hAPP @t3642 @t1314))) % 54.75/54.94 (define @t3700 () (@list @t1314 @t14 @t52 @t54)) % 54.75/54.94 (define @t3701 () (tptp.hAPP @t3379 @t659)) % 54.75/54.94 (define @t3702 () (tptp.hAPP @t3305 @t659)) % 54.75/54.94 (define @t3703 () (tptp.hBOOL (tptp.hAPP @t3702 @t1314))) % 54.75/54.94 (define @t3704 () (tptp.hAPP @t3403 @t1467)) % 54.75/54.94 (define @t3705 () (not @t3694)) % 54.75/54.94 (define @t3706 () (or @t767 @t3632)) % 54.75/54.94 (define @t3707 () (@list @t1467 @t54 @t14)) % 54.75/54.94 (define @t3708 () (tptp.hAPP @t3423 @t1314)) % 54.75/54.94 (define @t3709 () (tptp.hAPP @t3612 @t3708)) % 54.75/54.94 (define @t3710 () (= @t3615 @t3709)) % 54.75/54.94 (define @t3711 () (tptp.hBOOL (tptp.hAPP @t3642 @t3269))) % 54.75/54.94 (define @t3712 () (@list @t1467 @t1314 @t420 @t52 @t14)) % 54.75/54.94 (define @t3713 () (= @t52 @t54)) % 54.75/54.94 (define @t3714 () (tptp.hBOOL (tptp.hAPP @t3642 @t3518))) % 54.75/54.94 (define @t3715 () (tptp.hBOOL (tptp.hAPP @t2489 @t3704))) % 54.75/54.94 (define @t3716 () (tptp.hAPP @t3085 @t615)) % 54.75/54.94 (define @t3717 () (tptp.hAPP @t2570 @t3404)) % 54.75/54.94 (define @t3718 () (tptp.hAPP @t3717 @t1467)) % 54.75/54.94 (define @t3719 () (=> @t3694 (= @t3718 @t2572))) % 54.75/54.94 (define @t3720 () (@list @t1314 @t1467 @t16 @t14)) % 54.75/54.94 (define @t3721 () (@list @t349 @t434 @t14)) % 54.75/54.94 (define @t3722 () (@var "V_less_2" $$unsorted)) % 54.75/54.94 (define @t3723 () (tptp.hAPP @t3722 @t434)) % 54.75/54.94 (define @t3724 () (tptp.hBOOL (tptp.hAPP @t3723 @t1572))) % 54.75/54.94 (define @t3725 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3722 @t1525) @t434))) % 54.75/54.94 (define @t3726 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3016 @t16) @t1314))) % 54.75/54.94 (define @t3727 () (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t659)) % 54.75/54.94 (define @t3728 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2977 @t659) @t3349))) % 54.75/54.94 (define @t3729 () (tptp.hAPP @t3254 @t434)) % 54.75/54.94 (define @t3730 () (tptp.hBOOL (tptp.hAPP @t3678 @t1314))) % 54.75/54.94 (define @t3731 () (@list @t3254 @t1314 @t434 @t14 @t420)) % 54.75/54.94 (define @t3732 () (@list @t16 @t1314)) % 54.75/54.94 (define @t3733 () (tptp.tc_fun @t2442 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3734 () (tptp.c_member @t2442)) % 54.75/54.94 (define @t3735 () (tptp.hAPP @t3734 @t2772)) % 54.75/54.94 (define @t3736 () (tptp.tc_fun @t3733 tptp.tc_HOL_Obool)) % 54.75/54.94 (define @t3737 () (tptp.tc_fun @t579 @t3736)) % 54.75/54.94 (define @t3738 () (tptp.tc_fun @t579 @t2442)) % 54.75/54.95 (define @t3739 () (tptp.hAPP (tptp.c_COMBC @t420 @t3733 @t2462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3737 (tptp.tc_fun @t3733 @t2462) @t420) (tptp.c_COMBC @t579 @t3733 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3738 @t3737 @t420) (tptp.hAPP (tptp.c_COMBB @t2442 @t3736 @t579) @t3734)) @t2431)))) % 54.75/54.95 (define @t3740 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3733 @t3626 @t14) @t3739) @t2020)) % 54.75/54.95 (define @t3741 () (@list @t659 @t16 @t2020 @t579 @t420 @t14)) % 54.75/54.95 (define @t3742 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t1572) @t1314))) % 54.75/54.95 (define @t3743 () (@list @t1467 @t54 @t420 @t1314 @t1572 @t14)) % 54.75/54.95 (define @t3744 () (tptp.hAPP @t3272 @t3353)) % 54.75/54.95 (define @t3745 () (tptp.hAPP (tptp.c_COMBC @t420 @t2731 tptp.tc_HOL_Obool) @t3305)) % 54.75/54.95 (define @t3746 () (tptp.hAPP (tptp.hAPP @t3562 @t3745) @t2020)) % 54.75/54.95 (define @t3747 () (@list @t16 @t2020 @t420 @t14)) % 54.75/54.95 (define @t3748 () (tptp.hAPP (tptp.hAPP @t3272 @t3330) @t1314)) % 54.75/54.95 (define @t3749 () (tptp.hAPP @t1314 @t349)) % 54.75/54.95 (define @t3750 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t349) @t3330))) % 54.75/54.95 (define @t3751 () (@list @t1314 @t420 @t3330 @t349 @t14)) % 54.75/54.95 (define @t3752 () (tptp.c_Orderings_Oord__class_Oless__eq @t3474)) % 54.75/54.95 (define @t3753 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t420 @t3432) @t14) (tptp.c_If @t420))) % 54.75/54.95 (define @t3754 () (tptp.c_COMBS @t14 @t420 @t3432)) % 54.75/54.95 (define @t3755 () (tptp.c_COMBC @t14 @t420 @t420)) % 54.75/54.95 (define @t3756 () (tptp.hAPP @t3755 (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 @t2457)) @t52))) % 54.75/54.95 (define @t3757 () (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3756 @t3413)) @t3133)) % 54.75/54.95 (define @t3758 () (tptp.hBOOL (tptp.hAPP @t3631 @t3133))) % 54.75/54.95 (define @t3759 () (not @t3758)) % 54.75/54.95 (define @t3760 () (tptp.hAPP @t52 @t54)) % 54.75/54.95 (define @t3761 () (tptp.hBOOL (tptp.hAPP @t3387 @t3133))) % 54.75/54.95 (define @t3762 () (@list @t52 @t54 @t3133 @t14 @t420)) % 54.75/54.95 (define @t3763 () (tptp.hAPP @t3755 (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 @t2771)) @t52))) % 54.75/54.95 (define @t3764 () (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP @t3763 @t3413)) @t3133)) % 54.75/54.95 (define @t3765 () (@list @t659)) % 54.75/54.95 (define @t3766 () (tptp.hAPP @t3430 @t55)) % 54.75/54.95 (define @t3767 () (@list @t1 @t16 @t1314 @t14 @t420)) % 54.75/54.95 (define @t3768 () (=> @t3608 @t2490)) % 54.75/54.95 (define @t3769 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3585) @t1467))) % 54.75/54.95 (define @t3770 () (@list @t1467 @t16 @t1314 @t14)) % 54.75/54.95 (define @t3771 () (=> @t3608 (= @t3493 (tptp.hAPP tptp.c_Nat_OSuc @t3113)))) % 54.75/54.95 (define @t3772 () (tptp.hAPP @t2964 @t3545)) % 54.75/54.95 (define @t3773 () (tptp.hAPP @t3090 @t3545)) % 54.75/54.95 (define @t3774 () (@list @t2 @t54 @t1314 @t14 @t420)) % 54.75/54.95 (define @t3775 () (=> @t3632 (= @t3773 (tptp.hAPP @t3447 @t55)))) % 54.75/54.95 (define @t3776 () (tptp.hAPP @t3406 @t3514)) % 54.75/54.95 (define @t3777 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat @t14) tptp.c_Int_Onat) @t2)) % 54.75/54.95 (define @t3778 () (forall @t8 (=> @t3087 (tptp.c_Nat__Transfer_Ois__nat @t6)))) % 54.75/54.95 (define @t3779 () (tptp.hAPP @t630 @t104)) % 54.75/54.95 (define @t3780 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3016 (tptp.hAPP @t3779 @t734)) @t1314))) % 54.75/54.95 (define @t3781 () (@list @t1314 @t104 @t2574)) % 54.75/54.95 (define @t3782 () (tptp.hAPP @t1440 @t104)) % 54.75/54.95 (define @t3783 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3016 (tptp.hAPP @t3782 @t734)) @t1467))) % 54.75/54.95 (define @t3784 () (@list @t1467 @t104 @t2574)) % 54.75/54.95 (define @t3785 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3687 @t1314) @t1467) @t16) @t659))) % 54.75/54.95 (define @t3786 () (tptp.hBOOL (tptp.hAPP @t1315 @t659))) % 54.75/54.95 (define @t3787 () (tptp.hBOOL (tptp.hAPP @t1468 @t659))) % 54.75/54.95 (define @t3788 () (not @t3787)) % 54.75/54.95 (define @t3789 () (@list @t659 @t16 @t1467 @t1314 @t420 @t14)) % 54.75/54.95 (define @t3790 () (tptp.tc_prod @t14 @t14)) % 54.75/54.95 (define @t3791 () (tptp.tc_fun @t3790 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t3792 () (tptp.c_Orderings_Oord__class_Oless__eq @t3791)) % 54.75/54.95 (define @t3793 () (tptp.c_Orderings_Obot__class_Obot @t3791)) % 54.75/54.95 (define @t3794 () (tptp.hBOOL (tptp.hAPP @t3270 @t51))) % 54.75/54.95 (define @t3795 () (@list @t51 @t52 @t1467 @t1314 @t579 @t420 @t14)) % 54.75/54.95 (define @t3796 () (tptp.c_Product__Type_OPair @t14 @t14)) % 54.75/54.95 (define @t3797 () (tptp.hAPP @t3796 @t4)) % 54.75/54.95 (define @t3798 () (tptp.hAPP @t3797 @t4)) % 54.75/54.95 (define @t3799 () (tptp.c_member @t3790)) % 54.75/54.95 (define @t3800 () (tptp.hAPP @t3799 @t3798)) % 54.75/54.95 (define @t3801 () (tptp.hBOOL (tptp.hAPP @t3800 @t2020))) % 54.75/54.95 (define @t3802 () (tptp.hBOOL (tptp.hAPP @t2857 @t434))) % 54.75/54.95 (define @t3803 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t434) @t349))) % 54.75/54.95 (define @t3804 () (tptp.hAPP @t2977 @t434)) % 54.75/54.95 (define @t3805 () (@list @t349 @t3722 @t434 @t14)) % 54.75/54.95 (define @t3806 () (tptp.hBOOL (tptp.hAPP @t3030 @t3019))) % 54.75/54.95 (define @t3807 () (tptp.hAPP @t3016 @t104)) % 54.75/54.95 (define @t3808 () (tptp.hBOOL (tptp.hAPP @t3807 @t1314))) % 54.75/54.95 (define @t3809 () (not (= @t4 @t104))) % 54.75/54.95 (define @t3810 () (tptp.hBOOL (tptp.hAPP @t3807 @t1467))) % 54.75/54.95 (define @t3811 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t615) @t2420))) % 54.75/54.95 (define @t3812 () (tptp.c_Wellfounded_Omeasure @t14)) % 54.75/54.95 (define @t3813 () (tptp.hAPP @t3812 @t2)) % 54.75/54.95 (define @t3814 () (tptp.hAPP @t3796 @t16)) % 54.75/54.95 (define @t3815 () (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t659))) % 54.75/54.95 (define @t3816 () (@list @t349 @t3674 @t434 @t14)) % 54.75/54.95 (define @t3817 () (tptp.hAPP @t3423 @t3585)) % 54.75/54.95 (define @t3818 () (tptp.hAPP @t615 @t3817)) % 54.75/54.95 (define @t3819 () (= @t3585 @t3514)) % 54.75/54.95 (define @t3820 () (not @t3819)) % 54.75/54.95 (define @t3821 () (tptp.c_Finite__Set_Ofolding__one @t14 @t2 @t3423)) % 54.75/54.95 (define @t3822 () (@list @t16 @t1314 @t3423 @t2 @t14)) % 54.75/54.95 (define @t3823 () (tptp.hAPP @t615 @t659)) % 54.75/54.95 (define @t3824 () (@list @t659 @t57 @t2 @t420 @t1314 @t16 @t14)) % 54.75/54.95 (define @t3825 () (tptp.hAPP @t3085 @t2389)) % 54.75/54.95 (define @t3826 () (@list @t2389)) % 54.75/54.95 (define @t3827 () (@list @t57 @t2 @t420 @t14)) % 54.75/54.95 (define @t3828 () (@list @t16 @t3423 @t2 @t14)) % 54.75/54.95 (define @t3829 () (tptp.hAPP @t615 @t3708)) % 54.75/54.95 (define @t3830 () (tptp.hAPP @t3423 @t3404)) % 54.75/54.95 (define @t3831 () (=> @t3530 (= @t3830 @t3829))) % 54.75/54.95 (define @t3832 () (tptp.c_Partial__Function_Oflat__lub @t14 @t52 @t1314)) % 54.75/54.95 (define @t3833 () (tptp.hBOOL (tptp.hAPP @t2489 @t3516))) % 54.75/54.95 (define @t3834 () (@list @t52 @t1314 @t14)) % 54.75/54.95 (define @t3835 () (tptp.c_Wellfounded_Omlex__prod @t14 @t2 @t2461)) % 54.75/54.95 (define @t3836 () (tptp.hBOOL (tptp.hAPP @t3815 @t3835))) % 54.75/54.95 (define @t3837 () (tptp.hBOOL (tptp.hAPP @t3815 @t2461))) % 54.75/54.95 (define @t3838 () (@list @t2461 @t14 @t659 @t16 @t2)) % 54.75/54.95 (define @t3839 () (@var "V_K_2" $$unsorted)) % 54.75/54.95 (define @t3840 () (tptp.c_Groups_Otimes__class_Otimes @t420)) % 54.75/54.95 (define @t3841 () (tptp.hAPP @t3085 @t1231)) % 54.75/54.95 (define @t3842 () (@var "B_B" $$unsorted)) % 54.75/54.95 (define @t3843 () (@list @t1572 @t1525 @t3722 @t3674 @t434 @t14)) % 54.75/54.95 (define @t3844 () (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat @t2776 @t2933 @t349 @t1525)) % 54.75/54.95 (define @t3845 () (= @t3844 @t3498)) % 54.75/54.95 (define @t3846 () (not (and (tptp.hBOOL (tptp.hAPP @t2857 @t1525)) (not @t3594)))) % 54.75/54.95 (define @t3847 () (tptp.c_Nat_Osemiring__1__class_ONats @t14)) % 54.75/54.95 (define @t3848 () (tptp.hAPP @t3085 @t1618)) % 54.75/54.95 (define @t3849 () (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat @t2776 @t2933 @t54 @t52)) % 54.75/54.95 (define @t3850 () (= @t3849 @t3498)) % 54.75/54.95 (define @t3851 () (tptp.hAPP @t3085 @t15)) % 54.75/54.95 (define @t3852 () (tptp.hAPP @t3085 @t332)) % 54.75/54.95 (define @t3853 () (tptp.hBOOL (tptp.hAPP @t3642 @t3847))) % 54.75/54.95 (define @t3854 () (tptp.hBOOL (tptp.hAPP @t3631 @t3847))) % 54.75/54.95 (define @t3855 () (tptp.hAPP @t3085 @t843)) % 54.75/54.95 (define @t3856 () (tptp.hAPP @t3085 @t757)) % 54.75/54.95 (define @t3857 () (tptp.hAPP @t3085 @t618)) % 54.75/54.95 (define @t3858 () (not (and @t3262 (not @t3572)))) % 54.75/54.95 (define @t3859 () (tptp.tc_Hoare__Mirabelle_Otriple @t14)) % 54.75/54.95 (define @t3860 () (tptp.tc_fun @t3859 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t3861 () (tptp.c_Orderings_Obot__class_Obot @t3860)) % 54.75/54.95 (define @t3862 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate (tptp.tc_fun tptp.tc_Com_Oloc tptp.tc_Nat_Onat) tptp.tc_Com_Ostate) tptp.c_Natural_Osetlocs)) % 54.75/54.95 (define @t3863 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) % 54.75/54.95 (define @t3864 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Com_Ostate (tptp.tc_fun tptp.tc_Com_Ovname @t3863) tptp.tc_Com_Ostate) tptp.c_Natural_Oupdate)) % 54.75/54.95 (define @t3865 () (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Ovname @t3863)) % 54.75/54.95 (define @t3866 () (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_Nat_Onat tptp.tc_Com_Ostate)) % 54.75/54.95 (define @t3867 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t3868 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_Com_Ostate)) % 54.75/54.95 (define @t3869 () (tptp.hAPP (tptp.c_COMBB @t3867 (tptp.tc_fun @t3868 @t3867) @t14) (tptp.c_COMBB tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_Com_Ostate))) % 54.75/54.95 (define @t3870 () (tptp.c_COMBC @t14 @t3868 @t3867)) % 54.75/54.95 (define @t3871 () (tptp.hAPP @t3870 (tptp.hAPP @t3869 @t87))) % 54.75/54.95 (define @t3872 () (@var "V_s_H_2" $$unsorted)) % 54.75/54.95 (define @t3873 () (tptp.hAPP (tptp.c_COMBB @t3867 @t3867 @t14) (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Ostate tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 tptp.tc_Com_Ostate) tptp.c_fconj) (tptp.hAPP tptp.c_fequal @t3872))))) % 54.75/54.95 (define @t3874 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t14)) % 54.75/54.95 (define @t3875 () (tptp.c_Set_Oinsert @t3859)) % 54.75/54.95 (define @t3876 () (tptp.hAPP tptp.c_Natural_Ogetlocs @t3872)) % 54.75/54.95 (define @t3877 () (tptp.hAPP @t3870 (tptp.hAPP @t3869 @t2599))) % 54.75/54.95 (define @t3878 () (tptp.hAPP @t3874 @t87)) % 54.75/54.95 (define @t3879 () (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t2919 @t54)) @t54)) % 54.75/54.95 (define @t3880 () (tptp.c_Int_Oring__1__class_OInts @t14)) % 54.75/54.95 (define @t3881 () (tptp.hBOOL (tptp.hAPP @t3631 @t3880))) % 54.75/54.95 (define @t3882 () (tptp.hAPP @t3225 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3585))) % 54.75/54.95 (define @t3883 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t1314)) % 54.75/54.95 (define @t3884 () (@var "V_ts_2" $$unsorted)) % 54.75/54.95 (define @t3885 () (tptp.hAPP @t3875 @t104)) % 54.75/54.95 (define @t3886 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 @t3884)) % 54.75/54.95 (define @t3887 () (tptp.hAPP @t3878 @t51)) % 54.75/54.95 (define @t3888 () (tptp.hAPP @t3887 @t2599)) % 54.75/54.95 (define @t3889 () (@var "V_ts_H_2" $$unsorted)) % 54.75/54.95 (define @t3890 () (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t3860) @t3884)) % 54.75/54.95 (define @t3891 () (tptp.hAPP @t3865 tptp.c_Natural_Oupdate)) % 54.75/54.95 (define @t3892 () (@var "V_G_H_2" $$unsorted)) % 54.75/54.95 (define @t3893 () (@var "V_fun2_H_2" $$unsorted)) % 54.75/54.95 (define @t3894 () (@var "V_fun2_2" $$unsorted)) % 54.75/54.95 (define @t3895 () (@var "V_fun1_H_2" $$unsorted)) % 54.75/54.95 (define @t3896 () (@var "V_fun1_2" $$unsorted)) % 54.75/54.95 (define @t3897 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 @t3896) @t165) @t3894)) % 54.75/54.95 (define @t3898 () (@var "V_Procs_2" $$unsorted)) % 54.75/54.95 (define @t3899 () (tptp.tc_fun @t14 @t3867)) % 54.75/54.95 (define @t3900 () (tptp.tc_fun @t3899 @t3859)) % 54.75/54.95 (define @t3901 () (tptp.hAPP (tptp.c_COMBS tptp.tc_Com_Opname tptp.tc_Com_Ocom @t3900) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3899 (tptp.tc_fun tptp.tc_Com_Ocom @t3900) tptp.tc_Com_Opname) @t3874) @t87))) % 54.75/54.95 (define @t3902 () (tptp.c_COMBS tptp.tc_Com_Opname @t3899 @t3859)) % 54.75/54.95 (define @t3903 () (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t3859 (tptp.hAPP (tptp.hAPP @t3902 (tptp.hAPP @t3901 tptp.c_Com_Ocom_OBODY)) @t2599)) @t3898)) % 54.75/54.95 (define @t3904 () (tptp.hBOOL (tptp.hAPP @t3642 @t3880))) % 54.75/54.95 (define @t3905 () (tptp.hAPP @t3891 (tptp.c_Com_Ovname_OLoc @t89))) % 54.75/54.95 (define @t3906 () (tptp.hAPP @t3225 @t3883)) % 54.75/54.95 (define @t3907 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3404)) % 54.75/54.95 (define @t3908 () (=> @t3530 (= @t3907 @t3906))) % 54.75/54.95 (define @t3909 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t1467)) % 54.75/54.95 (define @t3910 () (not @t3519)) % 54.75/54.95 (define @t3911 () (tptp.hAPP (tptp.hAPP @t3185 @t3883) @t3909)) % 54.75/54.95 (define @t3912 () (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3159)) % 54.75/54.95 (define @t3913 () (= @t3912 @t3911)) % 54.75/54.95 (define @t3914 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t49 @t3896) @t165) @t3894)) % 54.75/54.95 (define @t3915 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t420) @t3896) @t165) @t3894)) % 54.75/54.95 (define @t3916 () (@list @t3894 @t165 @t3896 @t49 @t14 @t420)) % 54.75/54.95 (define @t3917 () (tptp.hAPP @t3392 @t4)) % 54.75/54.95 (define @t3918 () (tptp.hAPP @t3917 (tptp.hAPP (tptp.hAPP @t3392 @t257) @t3514))) % 54.75/54.95 (define @t3919 () (tptp.hAPP (tptp.hAPP @t3185 @t4) @t257)) % 54.75/54.95 (define @t3920 () (tptp.hAPP @t2631 (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3585))) % 54.75/54.95 (define @t3921 () (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t1314)) % 54.75/54.95 (define @t3922 () (= @t3921 @t16)) % 54.75/54.95 (define @t3923 () (tptp.hAPP @t2507 (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3585))) % 54.75/54.95 (define @t3924 () (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t1314)) % 54.75/54.95 (define @t3925 () (= @t3924 @t16)) % 54.75/54.95 (define @t3926 () (tptp.hAPP @t3052 @t3133)) % 54.75/54.95 (define @t3927 () (not (= @t3133 @t3514))) % 54.75/54.95 (define @t3928 () (@list @t3133 @t14)) % 54.75/54.95 (define @t3929 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3924) @t1314))) % 54.75/54.95 (define @t3930 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3921) @t1314))) % 54.75/54.95 (define @t3931 () (tptp.hAPP @t2507 @t3924)) % 54.75/54.95 (define @t3932 () (tptp.hAPP @t2631 @t3921)) % 54.75/54.95 (define @t3933 () (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3396)) % 54.75/54.95 (define @t3934 () (tptp.hBOOL (tptp.hAPP @t3387 @t3396))) % 54.75/54.95 (define @t3935 () (not (= @t3254 @t3514))) % 54.75/54.95 (define @t3936 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3254) @t3396))) % 54.75/54.95 (define @t3937 () (@list @t3396 @t3254 @t14)) % 54.75/54.95 (define @t3938 () (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3396)) % 54.75/54.95 (define @t3939 () (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3404)) % 54.75/54.95 (define @t3940 () (=> @t3530 (= @t3939 @t3931))) % 54.75/54.95 (define @t3941 () (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3404)) % 54.75/54.95 (define @t3942 () (=> @t3530 (= @t3941 @t3932))) % 54.75/54.95 (define @t3943 () (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t1467)) % 54.75/54.95 (define @t3944 () (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t1467)) % 54.75/54.95 (define @t3945 () (tptp.hAPP (tptp.hAPP @t2506 @t3924) @t3943)) % 54.75/54.95 (define @t3946 () (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3159)) % 54.75/54.95 (define @t3947 () (= @t3946 @t3945)) % 54.75/54.95 (define @t3948 () (tptp.hAPP (tptp.hAPP @t2630 @t3921) @t3944)) % 54.75/54.95 (define @t3949 () (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3159)) % 54.75/54.95 (define @t3950 () (= @t3949 @t3948)) % 54.75/54.95 (define @t3951 () (tptp.hAPP (tptp.hAPP @t2630 @t4) @t257)) % 54.75/54.95 (define @t3952 () (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3951) @t3918)))) % 54.75/54.95 (define @t3953 () (tptp.hAPP (tptp.hAPP @t2506 @t4) @t257)) % 54.75/54.95 (define @t3954 () (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3953) @t3918)))) % 54.75/54.95 (define @t3955 () (tptp.hAPP @t3917 @t3514)) % 54.75/54.95 (define @t3956 () (tptp.hAPP (tptp.hAPP @t96 @t94) @t150)) % 54.75/54.95 (define @t3957 () (= @t97 @t3514)) % 54.75/54.95 (define @t3958 () (tptp.c_Product__Type_OPair @t420 @t420)) % 54.75/54.95 (define @t3959 () (tptp.tc_prod @t420 @t420)) % 54.75/54.95 (define @t3960 () (tptp.c_member @t3959)) % 54.75/54.95 (define @t3961 () (tptp.hAPP @t3796 @t54)) % 54.75/54.95 (define @t3962 () (tptp.c_Product__Type_OPair @t2437 @t2437)) % 54.75/54.95 (define @t3963 () (tptp.c_member (tptp.tc_prod @t2437 @t2437))) % 54.75/54.95 (define @t3964 () (tptp.c_Wellfounded_Ofinite__psubset @t14)) % 54.75/54.95 (define @t3965 () (tptp.c_Product__Type_OPair @t2359 @t2359)) % 54.75/54.95 (define @t3966 () (tptp.tc_prod @t2359 @t2359)) % 54.75/54.95 (define @t3967 () (tptp.c_member @t3966)) % 54.75/54.95 (define @t3968 () (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t1314) @t1467))) % 54.75/54.95 (define @t3969 () (@var "B_s_H" $$unsorted)) % 54.75/54.95 (define @t3970 () (@var "B_Z" $$unsorted)) % 54.75/54.95 (define @t3971 () (@var "B_s" $$unsorted)) % 54.75/54.95 (define @t3972 () (@list @t3969)) % 54.75/54.95 (define @t3973 () (@list @t3970 @t3971)) % 54.75/54.95 (define @t3974 () (tptp.c_Recdef_Osame__fst @t14 @t420 @t87 @t2461)) % 54.75/54.95 (define @t3975 () (@var "V_y_H_2" $$unsorted)) % 54.75/54.95 (define @t3976 () (tptp.hAPP @t2461 @t16)) % 54.75/54.95 (define @t3977 () (tptp.hAPP @t2631 (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3585))) % 54.75/54.95 (define @t3978 () (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t1314)) % 54.75/54.95 (define @t3979 () (tptp.hAPP @t2507 (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3585))) % 54.75/54.95 (define @t3980 () (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t1314)) % 54.75/54.95 (define @t3981 () (tptp.hAPP @t2507 @t3980)) % 54.75/54.95 (define @t3982 () (tptp.hAPP @t2631 @t3978)) % 54.75/54.95 (define @t3983 () (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3404)) % 54.75/54.95 (define @t3984 () (=> @t3530 (= @t3983 @t3981))) % 54.75/54.95 (define @t3985 () (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3404)) % 54.75/54.95 (define @t3986 () (=> @t3530 (= @t3985 @t3982))) % 54.75/54.95 (define @t3987 () (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t1467)) % 54.75/54.95 (define @t3988 () (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t1467)) % 54.75/54.95 (define @t3989 () (tptp.hAPP @t2506 @t54)) % 54.75/54.95 (define @t3990 () (tptp.hAPP @t2630 @t54)) % 54.75/54.95 (define @t3991 () (tptp.hAPP (tptp.hAPP @t2506 @t3980) @t3987)) % 54.75/54.95 (define @t3992 () (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3159)) % 54.75/54.95 (define @t3993 () (= @t3992 @t3991)) % 54.75/54.95 (define @t3994 () (tptp.hAPP (tptp.hAPP @t2630 @t3978) @t3988)) % 54.75/54.95 (define @t3995 () (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3159)) % 54.75/54.95 (define @t3996 () (= @t3995 @t3994)) % 54.75/54.95 (define @t3997 () (@list @t1314 @t3423 @t2 @t14)) % 54.75/54.95 (define @t3998 () (tptp.c_Fun_Ofun__upd @t14 @t420)) % 54.75/54.95 (define @t3999 () (tptp.hAPP @t3998 @t2)) % 54.75/54.95 (define @t4000 () (tptp.hAPP @t3999 @t16)) % 54.75/54.95 (define @t4001 () (tptp.hAPP @t4000 @t659)) % 54.75/54.95 (define @t4002 () (tptp.hAPP (tptp.c_Set_Oimage @t14 @t420 @t4001) @t1314)) % 54.75/54.95 (define @t4003 () (tptp.hAPP @t3112 @t3133)) % 54.75/54.95 (define @t4004 () (tptp.c_Power_Opower__class_Opower @t420)) % 54.75/54.95 (define @t4005 () (tptp.hAPP @t4004 @t51)) % 54.75/54.95 (define @t4006 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t14 @t420)) % 54.75/54.95 (define @t4007 () (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t3763 @t51)) @t3133)) % 54.75/54.95 (define @t4008 () (tptp.class_Groups_Ocomm__monoid__mult @t420)) % 54.75/54.95 (define @t4009 () (tptp.hAPP @t2 @t434)) % 54.75/54.95 (define @t4010 () (tptp.hBOOL (tptp.hAPP @t3678 @t98))) % 54.75/54.95 (define @t4011 () (tptp.hAPP @t3090 @t98)) % 54.75/54.95 (define @t4012 () (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t3841 @t98)) (tptp.hBOOL (tptp.hAPP @t3505 @t1837))))) % 54.75/54.95 (define @t4013 () (tptp.hBOOL (tptp.hAPP @t3387 @t98))) % 54.75/54.95 (define @t4014 () (tptp.class_Groups_Oordered__ab__group__add @t420)) % 54.75/54.95 (define @t4015 () (@list @t16 @t2 @t420 @t14)) % 54.75/54.95 (define @t4016 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint @t14)) % 54.75/54.95 (define @t4017 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat @t14)) % 54.75/54.95 (define @t4018 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t420 @t14)) % 54.75/54.95 (define @t4019 () (tptp.hAPP @t4018 @t2)) % 54.75/54.95 (define @t4020 () (tptp.hAPP @t4019 @t1314)) % 54.75/54.95 (define @t4021 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t14 tptp.tc_Int_Oint)) % 54.75/54.95 (define @t4022 () (tptp.hAPP (tptp.hAPP @t4021 @t2960) @t1314)) % 54.75/54.95 (define @t4023 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t14 tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t4024 () (tptp.hAPP @t4023 @t2)) % 54.75/54.95 (define @t4025 () (tptp.hAPP @t4024 @t1314)) % 54.75/54.95 (define @t4026 () (tptp.hAPP @t4018 @t1)) % 54.75/54.95 (define @t4027 () (= @t615 @t659)) % 54.75/54.95 (define @t4028 () (@list @t659 @t16 @t2 @t420 @t14)) % 54.75/54.95 (define @t4029 () (@list @t57 @t659 @t16 @t2 @t420 @t14)) % 54.75/54.95 (define @t4030 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t420 @t14) @t2) @t16) @t659)) % 54.75/54.95 (define @t4031 () (tptp.hAPP @t2 @t57)) % 54.75/54.95 (define @t4032 () (tptp.hAPP @t4001 @t57)) % 54.75/54.95 (define @t4033 () (= @t57 @t16)) % 54.75/54.95 (define @t4034 () (=> (not @t4033) (= @t4032 @t4031))) % 54.75/54.95 (define @t4035 () (@list @t659 @t2 @t420 @t14 @t16 @t57)) % 54.75/54.95 (define @t4036 () (tptp.hAPP @t3998 @t347)) % 54.75/54.95 (define @t4037 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3999 @t54) @t52) @t16)) % 54.75/54.95 (define @t4038 () (= @t16 @t54)) % 54.75/54.95 (define @t4039 () (not @t4038)) % 54.75/54.95 (define @t4040 () (tptp.hAPP @t4006 @t2)) % 54.75/54.95 (define @t4041 () (tptp.hAPP @t4040 @t1314)) % 54.75/54.95 (define @t4042 () (= @t4041 @t3413)) % 54.75/54.95 (define @t4043 () (= @t6 @t3413)) % 54.75/54.95 (define @t4044 () (exists @t8 (and @t3087 @t4043))) % 54.75/54.95 (define @t4045 () (tptp.class_Rings_Ocomm__semiring__1 @t420)) % 54.75/54.95 (define @t4046 () (tptp.c_Groups_Oone__class_Oone @t420)) % 54.75/54.95 (define @t4047 () (tptp.hAPP @t4006 @t1)) % 54.75/54.95 (define @t4048 () (tptp.hAPP @t4047 @t1314)) % 54.75/54.95 (define @t4049 () (=> @t3416 (= @t4048 @t4046))) % 54.75/54.95 (define @t4050 () (tptp.hAPP (tptp.hAPP @t4016 @t2) @t1314)) % 54.75/54.95 (define @t4051 () (tptp.hAPP @t3840 @t4048)) % 54.75/54.95 (define @t4052 () (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP (tptp.hAPP @t3433 @t3840) @t1)) @t2680)) % 54.75/54.95 (define @t4053 () (tptp.c_Rings_Oinverse__class_Odivide @t420)) % 54.75/54.95 (define @t4054 () (tptp.hAPP @t4053 @t4041)) % 54.75/54.95 (define @t4055 () (@list @t1 @t2 @t1314 @t14 @t420)) % 54.75/54.95 (define @t4056 () (tptp.c_Rings_Odvd__class_Odvd @t420)) % 54.75/54.95 (define @t4057 () (tptp.hBOOL (tptp.hAPP @t3086 @t3133))) % 54.75/54.95 (define @t4058 () (forall @t8 (=> @t4057 @t3084))) % 54.75/54.95 (define @t4059 () (tptp.hBOOL (tptp.hAPP @t449 (tptp.hAPP @t4024 @t3133)))) % 54.75/54.95 (define @t4060 () (@list @t2 @t3133 @t14)) % 54.75/54.95 (define @t4061 () (tptp.hAPP @t4040 @t1467)) % 54.75/54.95 (define @t4062 () (tptp.hAPP @t4056 @t4041)) % 54.75/54.95 (define @t4063 () (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t3756 @t4046)) @t3133)) % 54.75/54.95 (define @t4064 () (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t3763 @t4046)) @t3133)) % 54.75/54.95 (define @t4065 () (tptp.hAPP @t3840 @t1005)) % 54.75/54.95 (define @t4066 () (tptp.hAPP @t4047 @t3404)) % 54.75/54.95 (define @t4067 () (tptp.hAPP @t4065 (tptp.hAPP @t4047 @t3585))) % 54.75/54.95 (define @t4068 () (tptp.hAPP @t4040 @t3545)) % 54.75/54.95 (define @t4069 () (tptp.class_Fields_Ofield @t420)) % 54.75/54.95 (define @t4070 () (tptp.hAPP @t292 @t52)) % 54.75/54.95 (define @t4071 () (tptp.c_Fun_Ofun__upd @t420 @t2706)) % 54.75/54.95 (define @t4072 () (tptp.hAPP @t4071 @t2)) % 54.75/54.95 (define @t4073 () (tptp.hBOOL (tptp.hAPP @t3466 (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2706 @t2) @t3357)))) % 54.75/54.95 (define @t4074 () (tptp.tc_Option_Ooption @t420)) % 54.75/54.95 (define @t4075 () (tptp.hAPP @t421 @t659)) % 54.75/54.95 (define @t4076 () (tptp.c_Fun_Ofun__upd @t14 @t4074)) % 54.75/54.95 (define @t4077 () (tptp.hAPP @t4076 @t347)) % 54.75/54.95 (define @t4078 () (tptp.hAPP @t4077 @t16)) % 54.75/54.95 (define @t4079 () (tptp.hAPP @t4078 @t4075)) % 54.75/54.95 (define @t4080 () (tptp.hAPP (tptp.c_COMBK @t4074 @t14) @t425)) % 54.75/54.95 (define @t4081 () (tptp.hAPP @t421 @t16)) % 54.75/54.95 (define @t4082 () (tptp.hAPP @t4077 @t54)) % 54.75/54.95 (define @t4083 () (tptp.hAPP @t292 @t659)) % 54.75/54.95 (define @t4084 () (tptp.hAPP @t347 @t16)) % 54.75/54.95 (define @t4085 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4071 @t347) @t54) @t4070)) % 54.75/54.95 (define @t4086 () (@var "V_xa_2" $$unsorted)) % 54.75/54.95 (define @t4087 () (tptp.hAPP (tptp.c_COMBK @t2706 @t420) @t285)) % 54.75/54.95 (define @t4088 () (tptp.c_Map_Oran @t420 @t14 @t347)) % 54.75/54.95 (define @t4089 () (tptp.hAPP @t347 @t54)) % 54.75/54.95 (define @t4090 () (tptp.c_Map_Orestrict__map @t14 @t420 @t347 @t2574)) % 54.75/54.95 (define @t4091 () (tptp.hAPP (tptp.hAPP @t4076 @t4090) @t16)) % 54.75/54.95 (define @t4092 () (tptp.hAPP @t4091 @t425)) % 54.75/54.95 (define @t4093 () (tptp.hBOOL (tptp.hAPP @t3606 @t2574))) % 54.75/54.95 (define @t4094 () (not @t4093)) % 54.75/54.95 (define @t4095 () (tptp.hAPP @t2570 @t2574)) % 54.75/54.95 (define @t4096 () (tptp.c_Map_Orestrict__map @t14 @t420 @t347 (tptp.hAPP @t4095 @t3543))) % 54.75/54.95 (define @t4097 () (tptp.c_Map_Orestrict__map @t14 @t420 @t347 @t1314)) % 54.75/54.95 (define @t4098 () (tptp.hAPP @t4097 @t16)) % 54.75/54.95 (define @t4099 () (=> @t3607 (= @t4098 @t4084))) % 54.75/54.95 (define @t4100 () (@list @t347 @t420 @t1314 @t16 @t14)) % 54.75/54.95 (define @t4101 () (=> @t3608 (= @t4098 @t425))) % 54.75/54.95 (define @t4102 () (@list @t1314 @t54 @t2 @t420 @t14)) % 54.75/54.95 (define @t4103 () (= @t4089 @t4070)) % 54.75/54.95 (define @t4104 () (@list @t420 @t52 @t14 @t54 @t347)) % 54.75/54.95 (define @t4105 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t4096) @t16) @t659)) % 54.75/54.95 (define @t4106 () (= (tptp.hAPP @t4091 @t659) @t4105)) % 54.75/54.95 (define @t4107 () (@list @t14 @t420)) % 54.75/54.95 (define @t4108 () (tptp.c_Map_Orestrict__map @t14 @t420 (tptp.hAPP @t4078 @t659) @t2574)) % 54.75/54.95 (define @t4109 () (@list @t659 @t347 @t420 @t2574 @t16 @t14)) % 54.75/54.95 (define @t4110 () (tptp.hAPP (tptp.hAPP @t4076 @t2) @t16)) % 54.75/54.95 (define @t4111 () (tptp.hAPP @t2581 @t3543)) % 54.75/54.95 (define @t4112 () (tptp.c_Product__Type_OPair @t2409 @t2409)) % 54.75/54.95 (define @t4113 () (tptp.tc_prod @t2409 @t2409)) % 54.75/54.95 (define @t4114 () (tptp.c_member @t4113)) % 54.75/54.95 (define @t4115 () (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4112 (tptp.hAPP (tptp.hAPP @t2190 @t54) @t98)) (tptp.hAPP (tptp.hAPP @t2190 @t52) @t104)))) % 54.75/54.95 (define @t4116 () (tptp.hBOOL (tptp.hAPP @t4115 tptp.c_FunDef_Opair__less))) % 54.75/54.95 (define @t4117 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t54) @t52))) % 54.75/54.95 (define @t4118 () (@list @t104 @t98 @t52 @t54)) % 54.75/54.95 (define @t4119 () (tptp.c_Set_Oimage @t14 @t14 @t2680)) % 54.75/54.95 (define @t4120 () (tptp.hAPP @t4119 @t3396)) % 54.75/54.95 (define @t4121 () (not (= @t3396 @t3514))) % 54.75/54.95 (define @t4122 () (tptp.hAPP @t2680 @t257)) % 54.75/54.95 (define @t4123 () (tptp.hAPP @t2680 @t4)) % 54.75/54.95 (define @t4124 () (forall @t2496 (= (tptp.hAPP @t2680 @t3951) (tptp.hAPP (tptp.hAPP @t2630 @t4123) @t4122)))) % 54.75/54.95 (define @t4125 () (@list @t3396 @t2680 @t14)) % 54.75/54.95 (define @t4126 () (tptp.hBOOL (tptp.hAPP @t4115 tptp.c_FunDef_Opair__leq))) % 54.75/54.95 (define @t4127 () (@var "V_YS_2" $$unsorted)) % 54.75/54.95 (define @t4128 () (tptp.c_Set_Oinsert @t2409)) % 54.75/54.95 (define @t4129 () (tptp.hAPP @t4128 @t659)) % 54.75/54.95 (define @t4130 () (@var "V_XS_2" $$unsorted)) % 54.75/54.95 (define @t4131 () (tptp.tc_fun @t2409 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4132 () (tptp.c_Product__Type_OPair @t4131 @t4131)) % 54.75/54.95 (define @t4133 () (tptp.hAPP @t4132 @t4130)) % 54.75/54.95 (define @t4134 () (tptp.tc_prod @t4131 @t4131)) % 54.75/54.95 (define @t4135 () (tptp.c_member @t4134)) % 54.75/54.95 (define @t4136 () (tptp.hAPP @t4135 (tptp.hAPP @t4133 (tptp.hAPP @t4129 @t4127)))) % 54.75/54.95 (define @t4137 () (tptp.hAPP @t4135 (tptp.hAPP @t4133 @t4127))) % 54.75/54.95 (define @t4138 () (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4112 @t16) @t659))) % 54.75/54.95 (define @t4139 () (tptp.hBOOL (tptp.hAPP @t4138 tptp.c_FunDef_Opair__less))) % 54.75/54.95 (define @t4140 () (tptp.c_member @t2409)) % 54.75/54.95 (define @t4141 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4140 @t16) @t4130))) % 54.75/54.95 (define @t4142 () (@list @t4127 @t659 @t4130 @t16)) % 54.75/54.95 (define @t4143 () (tptp.hAPP @t4128 @t16)) % 54.75/54.95 (define @t4144 () (tptp.hAPP @t4132 @t89)) % 54.75/54.95 (define @t4145 () (tptp.hAPP @t4140 @t659)) % 54.75/54.95 (define @t4146 () (tptp.c_Orderings_Obot__class_Obot @t4131)) % 54.75/54.95 (define @t4147 () (tptp.hAPP @t4135 (tptp.hAPP @t4144 @t4146))) % 54.75/54.95 (define @t4148 () (@list @t89)) % 54.75/54.95 (define @t4149 () (tptp.hAPP @t4132 @t4146)) % 54.75/54.95 (define @t4150 () (tptp.c_Finite__Set_Ofinite @t2409)) % 54.75/54.95 (define @t4151 () (tptp.hBOOL (tptp.hAPP @t4138 tptp.c_FunDef_Opair__leq))) % 54.75/54.95 (define @t4152 () (tptp.tc_fun @t4134 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4153 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t4134) (tptp.hAPP @t4149 @t4146)) (tptp.c_Orderings_Obot__class_Obot @t4152))) % 54.75/54.95 (define @t4154 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4152)) % 54.75/54.95 (define @t4155 () (tptp.c_Product__Type_OPair @t4152 @t4152)) % 54.75/54.95 (define @t4156 () (tptp.c_Wellfounded_Omax__ext @t14 @t2461)) % 54.75/54.95 (define @t4157 () (tptp.tc_fun @t3791 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4158 () (tptp.hAPP (tptp.c_COMBB @t3790 @t4157 @t14) @t3799)) % 54.75/54.95 (define @t4159 () (tptp.tc_fun @t14 @t4157)) % 54.75/54.95 (define @t4160 () (tptp.tc_fun @t14 @t3790)) % 54.75/54.95 (define @t4161 () (tptp.c_COMBC @t14 @t3791 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4162 () (tptp.hAPP (tptp.c_COMBC @t14 @t3791 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4159 (tptp.tc_fun @t3791 @t2359) @t14) @t4161) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4160 @t4159 @t14) @t4158) @t3796)))) % 54.75/54.95 (define @t4163 () (tptp.hAPP (tptp.hAPP @t316 @t1572) @t659)) % 54.75/54.95 (define @t4164 () (tptp.hAPP @t316 @t16)) % 54.75/54.95 (define @t4165 () (tptp.hAPP @t4164 @t1671)) % 54.75/54.95 (define @t4166 () (tptp.hAPP (tptp.hAPP @t2190 @t1572) @t1671)) % 54.75/54.95 (define @t4167 () (@list @t1671 @t1572 @t659 @t16)) % 54.75/54.95 (define @t4168 () (tptp.tc_prod tptp.tc_Nat_Onat @t14)) % 54.75/54.95 (define @t4169 () (tptp.c_FunDef_Orp__inv__image @t14 @t420)) % 54.75/54.95 (define @t4170 () (tptp.c_FunDef_Oreduction__pair @t14 @t87)) % 54.75/54.95 (define @t4171 () (@list @t2 @t420 @t87 @t14)) % 54.75/54.95 (define @t4172 () (forall @t2496 (= (tptp.hAPP @t2680 @t3953) (tptp.hAPP (tptp.hAPP @t2506 @t4123) @t4122)))) % 54.75/54.95 (define @t4173 () (tptp.c_Relation_Oinv__image @t14 @t420)) % 54.75/54.95 (define @t4174 () (tptp.tc_fun @t3959 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4175 () (tptp.tc_prod @t4174 @t4174)) % 54.75/54.95 (define @t4176 () (tptp.tc_fun @t4174 @t4175)) % 54.75/54.95 (define @t4177 () (tptp.tc_fun @t1316 @t4176)) % 54.75/54.95 (define @t4178 () (tptp.tc_fun @t1316 @t4174)) % 54.75/54.95 (define @t4179 () (tptp.tc_fun @t1316 @t4175)) % 54.75/54.95 (define @t4180 () (tptp.tc_fun @t4178 @t4179)) % 54.75/54.95 (define @t4181 () (tptp.tc_fun @t3791 @t4179)) % 54.75/54.95 (define @t4182 () (tptp.tc_fun @t3791 @t4178)) % 54.75/54.95 (define @t4183 () (tptp.c_Relation_Oinv__image @t420 @t14)) % 54.75/54.95 (define @t4184 () (tptp.hAPP (tptp.hAPP @t4183 @t2020) @t2)) % 54.75/54.95 (define @t4185 () (forall @t8 (not @t3801))) % 54.75/54.95 (define @t4186 () (tptp.c_Relation_OField @t14)) % 54.75/54.95 (define @t4187 () (tptp.hAPP @t4186 @t2020)) % 54.75/54.95 (define @t4188 () (tptp.hAPP @t3961 @t52)) % 54.75/54.95 (define @t4189 () (tptp.c_Set_Oinsert @t3790)) % 54.75/54.95 (define @t4190 () (@list @t2020 @t52 @t54 @t14)) % 54.75/54.95 (define @t4191 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t14 @t3790) @t3796) @t2207)) % 54.75/54.95 (define @t4192 () (tptp.c_Relation_OId__on @t14 @t1314)) % 54.75/54.95 (define @t4193 () (tptp.tc_fun @t14 @t2237)) % 54.75/54.95 (define @t4194 () (tptp.hAPP (tptp.c_COMBB @t2359 @t4193 @t14) @t2761)) % 54.75/54.95 (define @t4195 () (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t14 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4196 () (tptp.hAPP @t4186 @t98)) % 54.75/54.95 (define @t4197 () (tptp.hAPP @t3792 @t2020)) % 54.75/54.95 (define @t4198 () (tptp.hBOOL (tptp.hAPP @t4197 @t98))) % 54.75/54.95 (define @t4199 () (@list @t98 @t2020 @t14)) % 54.75/54.95 (define @t4200 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3791)) % 54.75/54.95 (define @t4201 () (tptp.hAPP @t4200 @t2020)) % 54.75/54.95 (define @t4202 () (tptp.hAPP @t4201 @t98)) % 54.75/54.95 (define @t4203 () (tptp.c_Finite__Set_Ofinite @t3790)) % 54.75/54.95 (define @t4204 () (tptp.hBOOL (tptp.hAPP @t4203 @t2020))) % 54.75/54.95 (define @t4205 () (tptp.hAPP @t3799 @t4188)) % 54.75/54.95 (define @t4206 () (@var "V_T_2" $$unsorted)) % 54.75/54.95 (define @t4207 () (tptp.hAPP @t4040 @t4206)) % 54.75/54.95 (define @t4208 () (tptp.hAPP @t4040 @t3133)) % 54.75/54.95 (define @t4209 () (= @t6 @t4046)) % 54.75/54.95 (define @t4210 () (tptp.hBOOL (tptp.hAPP @t3086 (tptp.hAPP (tptp.hAPP @t2570 @t4206) @t3133)))) % 54.75/54.95 (define @t4211 () (forall @t8 (=> @t4210 @t4209))) % 54.75/54.95 (define @t4212 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3133) @t4206))) % 54.75/54.95 (define @t4213 () (tptp.hBOOL (tptp.hAPP @t3387 @t4206))) % 54.75/54.95 (define @t4214 () (@list @t2 @t3133 @t4206 @t14 @t420)) % 54.75/54.95 (define @t4215 () (tptp.hAPP @t3090 @t3133)) % 54.75/54.95 (define @t4216 () (tptp.hAPP @t3090 @t4206)) % 54.75/54.95 (define @t4217 () (forall @t8 (=> @t4210 @t4043))) % 54.75/54.95 (define @t4218 () (tptp.c_Set_OPow @t14)) % 54.75/54.95 (define @t4219 () (tptp.hAPP @t4218 @t1314)) % 54.75/54.95 (define @t4220 () (tptp.c_Finite__Set_Ocard @t2359)) % 54.75/54.95 (define @t4221 () (tptp.hBOOL (tptp.hAPP @t87 @t3514))) % 54.75/54.95 (define @t4222 () (tptp.hAPP @t3392 @t446)) % 54.75/54.95 (define @t4223 () (@var "B_A" $$unsorted)) % 54.75/54.95 (define @t4224 () (tptp.hAPP @t3085 @t446)) % 54.75/54.95 (define @t4225 () (tptp.hBOOL (tptp.hAPP @t4224 @t4223))) % 54.75/54.95 (define @t4226 () (@list @t446 @t4223)) % 54.75/54.95 (define @t4227 () (tptp.hAPP @t3423 @t1467)) % 54.75/54.95 (define @t4228 () (tptp.hAPP (tptp.hAPP @t2 @t3708) @t4227)) % 54.75/54.95 (define @t4229 () (tptp.hAPP @t3423 @t3159)) % 54.75/54.95 (define @t4230 () (= @t4229 @t4228)) % 54.75/54.95 (define @t4231 () (tptp.c_Finite__Set_Ofolding__one__idem @t14 @t2 @t3423)) % 54.75/54.95 (define @t4232 () (@list @t1467 @t1314 @t3423 @t2 @t14)) % 54.75/54.95 (define @t4233 () (tptp.hAPP @t4218 @t1467)) % 54.75/54.95 (define @t4234 () (tptp.c_member @t2359)) % 54.75/54.95 (define @t4235 () (tptp.hAPP @t4234 @t1314)) % 54.75/54.95 (define @t4236 () (tptp.hBOOL (tptp.hAPP @t4235 @t4233))) % 54.75/54.95 (define @t4237 () (tptp.tc_fun @t2359 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4238 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4237)) % 54.75/54.95 (define @t4239 () (tptp.hAPP @t4238 @t4219)) % 54.75/54.95 (define @t4240 () (tptp.c_Orderings_Obot__class_Obot @t4237)) % 54.75/54.95 (define @t4241 () (tptp.c_Set_Oinsert @t2359)) % 54.75/54.95 (define @t4242 () (tptp.c_Orderings_Oord__class_Oless__eq @t4237)) % 54.75/54.95 (define @t4243 () (tptp.c_Orderings_Otop__class_Otop @t4237)) % 54.75/54.95 (define @t4244 () (= (tptp.hAPP @t615 @t16) @t16)) % 54.75/54.95 (define @t4245 () (@var "B_f" $$unsorted)) % 54.75/54.95 (define @t4246 () (@list @t4245)) % 54.75/54.95 (define @t4247 () (tptp.hAPP (tptp.c_Set_Oimage @t2731 @t2359 @t3055) (tptp.hAPP (tptp.c_Set_OPow @t420) @t1314))) % 54.75/54.95 (define @t4248 () (tptp.c_Finite__Set_Ofinite @t2359)) % 54.75/54.95 (define @t4249 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t4237 @t420) @t4218) @t1467)) % 54.75/54.95 (define @t4250 () (= (tptp.hAPP (tptp.hAPP @t2 @t4227) @t3708) @t3708)) % 54.75/54.95 (define @t4251 () (tptp.hAPP @t4234 @t16)) % 54.75/54.95 (define @t4252 () (tptp.hAPP @t3689 @t1314)) % 54.75/54.95 (define @t4253 () (@var "B_F" $$unsorted)) % 54.75/54.95 (define @t4254 () (tptp.hBOOL (tptp.hAPP @t4224 @t1314))) % 54.75/54.95 (define @t4255 () (tptp.c_Orderings_Oord__class_Oless @t420)) % 54.75/54.95 (define @t4256 () (tptp.c_Predicate_OPowp @t14 @t1314)) % 54.75/54.95 (define @t4257 () (tptp.c_Relation_OImage @t2409 @t2409 tptp.c_Int_Ointrel)) % 54.75/54.95 (define @t4258 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t420 @t579)) % 54.75/54.95 (define @t4259 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t14 @t579)) % 54.75/54.95 (define @t4260 () (tptp.class_Groups_Ocomm__monoid__add @t579)) % 54.75/54.95 (define @t4261 () (@list @t2 @t1467 @t420 @t1314 @t14 @t579)) % 54.75/54.95 (define @t4262 () (tptp.c_Relation_OImage @t420 @t14 @t2461)) % 54.75/54.95 (define @t4263 () (@list @t2461 @t14 @t420)) % 54.75/54.95 (define @t4264 () (tptp.hAPP @t4262 @t1467)) % 54.75/54.95 (define @t4265 () (tptp.hAPP @t4262 @t1314)) % 54.75/54.95 (define @t4266 () (tptp.hAPP @t3144 @t4265)) % 54.75/54.95 (define @t4267 () (tptp.c_Relation_OImage @t420 @t14 @t2020)) % 54.75/54.95 (define @t4268 () (tptp.hAPP (tptp.hAPP @t3338 @t4267) @t1467)) % 54.75/54.95 (define @t4269 () (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t14 @t579 @t2) @t1)) % 54.75/54.95 (define @t4270 () (tptp.hAPP @t4269 @t16)) % 54.75/54.95 (define @t4271 () (@var "B_v" $$unsorted)) % 54.75/54.95 (define @t4272 () (@list @t4271)) % 54.75/54.95 (define @t4273 () (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t420 @t14 @t54) @t52)) % 54.75/54.95 (define @t4274 () (= @t4273 (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t420 @t14 @t51) @t859))) % 54.75/54.95 (define @t4275 () (tptp.hAPP @t54 (tptp.hAPP @t52 @t1671))) % 54.75/54.95 (define @t4276 () (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t420 @t2443 @t2) @t1)) % 54.75/54.95 (define @t4277 () (tptp.c_Fun_Ocomp @t579 @t420 @t14 @t2)) % 54.75/54.95 (define @t4278 () (@var "V_x_H_2" $$unsorted)) % 54.75/54.95 (define @t4279 () (@var "V_g_H_2" $$unsorted)) % 54.75/54.95 (define @t4280 () (@var "V_f_H_2" $$unsorted)) % 54.75/54.95 (define @t4281 () (tptp.hAPP @t2557 @t51)) % 54.75/54.95 (define @t4282 () (= @t4275 (tptp.hAPP @t51 @t1671))) % 54.75/54.95 (define @t4283 () (@list @t1671 @t51 @t52 @t54 @t14 @t420 @t579)) % 54.75/54.95 (define @t4284 () (tptp.hAPP @t4277 @t1)) % 54.75/54.95 (define @t4285 () (tptp.c_Orderings_Otop__class_Otop @t2462)) % 54.75/54.95 (define @t4286 () (tptp.c_Relation_OImage @t14 @t420 @t2020)) % 54.75/54.95 (define @t4287 () (tptp.hAPP @t4286 @t1314)) % 54.75/54.95 (define @t4288 () (@var "V_A_H_2" $$unsorted)) % 54.75/54.95 (define @t4289 () (@var "V_r_H_2" $$unsorted)) % 54.75/54.95 (define @t4290 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3752 @t4289) @t2020))) % 54.75/54.95 (define @t4291 () (tptp.tc_fun @t2675 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4292 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4291)) % 54.75/54.95 (define @t4293 () (tptp.hBOOL (tptp.hAPP @t3660 @t2020))) % 54.75/54.95 (define @t4294 () (tptp.hAPP @t2593 @t4)) % 54.75/54.95 (define @t4295 () (tptp.c_member @t2675)) % 54.75/54.95 (define @t4296 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 (tptp.hAPP @t4294 @t52)) @t2020))) % 54.75/54.95 (define @t4297 () (tptp.hAPP @t4267 @t1314)) % 54.75/54.95 (define @t4298 () (tptp.hBOOL (tptp.hAPP @t3642 @t4297))) % 54.75/54.95 (define @t4299 () (@list @t1314 @t2020 @t420 @t52 @t14)) % 54.75/54.95 (define @t4300 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t2731 @t2731) @t3410) @t3522)) % 54.75/54.95 (define @t4301 () (tptp.c_COMBB @t2731 @t2359 @t420)) % 54.75/54.95 (define @t4302 () (tptp.hAPP @t2593 @t54)) % 54.75/54.95 (define @t4303 () (tptp.hAPP @t4302 @t52)) % 54.75/54.95 (define @t4304 () (tptp.hAPP @t4267 @t3570)) % 54.75/54.95 (define @t4305 () (tptp.hAPP @t818 @t659)) % 54.75/54.95 (define @t4306 () (tptp.hAPP @t818 @t16)) % 54.75/54.95 (define @t4307 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 @t4166) @t4146)))) % 54.75/54.95 (define @t4308 () (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 @t2408) @t4146)))) % 54.75/54.95 (define @t4309 () (tptp.hAPP @t2190 @t347)) % 54.75/54.95 (define @t4310 () (tptp.tc_fun @t4131 @t4131)) % 54.75/54.95 (define @t4311 () (tptp.tc_fun tptp.tc_Nat_Onat @t4310)) % 54.75/54.95 (define @t4312 () (tptp.tc_fun tptp.tc_Nat_Onat @t4131)) % 54.75/54.95 (define @t4313 () (tptp.c_Hoare__Mirabelle_Opeek__and @t14 @t87 (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Com_Ostate tptp.c_fNot) @t52))) % 54.75/54.95 (define @t4314 () (tptp.hAPP (tptp.hAPP @t3874 (tptp.c_Hoare__Mirabelle_Opeek__and @t14 @t87 @t52)) @t51)) % 54.75/54.95 (define @t4315 () (tptp.c_Nitpick_ORep__Frac @t14)) % 54.75/54.95 (define @t4316 () (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t3817) @t615)) % 54.75/54.95 (define @t4317 () (tptp.c_Finite__Set_Ofolding @t14 @t420 @t2 @t3423)) % 54.75/54.95 (define @t4318 () (@list @t16 @t1314 @t3423 @t2 @t420 @t14)) % 54.75/54.95 (define @t4319 () (tptp.c_Fun_Ocomp @t420 @t420 @t579 @t2420)) % 54.75/54.95 (define @t4320 () (tptp.c_Fun_Ocomp @t420 @t420 @t579 @t615)) % 54.75/54.95 (define @t4321 () (tptp.hAPP @t4320 @t1)) % 54.75/54.95 (define @t4322 () (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t615)) % 54.75/54.95 (define @t4323 () (tptp.hAPP @t4322 @t2420)) % 54.75/54.95 (define @t4324 () (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t2420) @t615)) % 54.75/54.95 (define @t4325 () (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t3708)) % 54.75/54.95 (define @t4326 () (tptp.hAPP @t4325 @t615)) % 54.75/54.95 (define @t4327 () (tptp.c_Fun_Ocomp @t420 @t420 @t579 @t3708)) % 54.75/54.95 (define @t4328 () (tptp.hAPP @t4327 @t1)) % 54.75/54.95 (define @t4329 () (tptp.hAPP @t4325 @t4227)) % 54.75/54.95 (define @t4330 () (@list @t1467 @t1314 @t3423 @t2 @t420 @t14)) % 54.75/54.95 (define @t4331 () (tptp.c_Fun_Ocomp @t420 @t420 @t579 @t4227)) % 54.75/54.95 (define @t4332 () (= @t3830 @t4326)) % 54.75/54.95 (define @t4333 () (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t579 @t14 @t2680) @t2)) % 54.75/54.95 (define @t4334 () (tptp.hAPP @t4259 @t4333)) % 54.75/54.95 (define @t4335 () (tptp.hAPP @t4258 @t2680)) % 54.75/54.95 (define @t4336 () (= @t6 @t3049)) % 54.75/54.95 (define @t4337 () (= @t4 @t257)) % 54.75/54.95 (define @t4338 () (tptp.hAPP @t3085 @t257)) % 54.75/54.95 (define @t4339 () (@list @t87 @t2 @t14 @t420)) % 54.75/54.95 (define @t4340 () (tptp.c_Relation_OImage @t14 @t14 @t2020)) % 54.75/54.95 (define @t4341 () (tptp.c_COMBB @t2359 @t2359 @t14)) % 54.75/54.95 (define @t4342 () (tptp.tc_fun @t4237 @t4237)) % 54.75/54.95 (define @t4343 () (tptp.c_Equiv__Relations_Oquotient @t14)) % 54.75/54.95 (define @t4344 () (tptp.hAPP (tptp.hAPP @t4343 @t1314) @t2020)) % 54.75/54.95 (define @t4345 () (@list @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4346 () (tptp.hAPP @t4340 @t3543)) % 54.75/54.95 (define @t4347 () (tptp.hAPP (tptp.hAPP @t4343 @t3543) @t2020)) % 54.75/54.95 (define @t4348 () (@list @t2020 @t16 @t14)) % 54.75/54.95 (define @t4349 () (tptp.hBOOL (tptp.hAPP @t4205 @t2020))) % 54.75/54.95 (define @t4350 () (=> @t3699 @t4349)) % 54.75/54.95 (define @t4351 () (tptp.hAPP @t4340 @t3518)) % 54.75/54.95 (define @t4352 () (tptp.hAPP @t4340 @t3516)) % 54.75/54.95 (define @t4353 () (tptp.c_Equiv__Relations_Oequiv @t14 @t1314 @t2020)) % 54.75/54.95 (define @t4354 () (tptp.hAPP @t4234 @t89)) % 54.75/54.95 (define @t4355 () (tptp.hBOOL (tptp.hAPP @t4354 @t4344))) % 54.75/54.95 (define @t4356 () (tptp.hBOOL (tptp.hAPP @t3815 @t2020))) % 54.75/54.95 (define @t4357 () (@list @t659 @t16 @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4358 () (tptp.c_Orderings_Otop__class_Otop @t4131)) % 54.75/54.95 (define @t4359 () (@list @t54 @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4360 () (= @t4351 @t4352)) % 54.75/54.95 (define @t4361 () (@list @t52 @t54 @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4362 () (= @t89 @t138)) % 54.75/54.95 (define @t4363 () (tptp.hBOOL (tptp.hAPP @t3697 @t138))) % 54.75/54.95 (define @t4364 () (tptp.hBOOL (tptp.hAPP @t3606 @t89))) % 54.75/54.95 (define @t4365 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t138) @t4344))) % 54.75/54.95 (define @t4366 () (@list @t659 @t16 @t138 @t89 @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4367 () (= @t4346 (tptp.hAPP @t4340 @t3776))) % 54.75/54.95 (define @t4368 () (tptp.c_Equiv__Relations_Ocongruent @t14 @t2731 @t2020 @t2)) % 54.75/54.95 (define @t4369 () (@var "V_r2_2" $$unsorted)) % 54.75/54.95 (define @t4370 () (tptp.c_Relation_OImage @t420 @t420 @t4369)) % 54.75/54.95 (define @t4371 () (tptp.c_COMBB @t3626 @t2462 @t14)) % 54.75/54.95 (define @t4372 () (tptp.hAPP @t3392 @t94)) % 54.75/54.95 (define @t4373 () (@var "V_r1_2" $$unsorted)) % 54.75/54.95 (define @t4374 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t2462)) % 54.75/54.95 (define @t4375 () (@var "V_A2_2" $$unsorted)) % 54.75/54.95 (define @t4376 () (@var "V_A1_2" $$unsorted)) % 54.75/54.95 (define @t4377 () (tptp.c_Equiv__Relations_Ocongruent2 @t14 @t420 @t2462 @t4373 @t4369 @t2)) % 54.75/54.95 (define @t4378 () (tptp.c_Equiv__Relations_Oequiv @t420 @t4375 @t4369)) % 54.75/54.95 (define @t4379 () (tptp.c_Equiv__Relations_Oequiv @t14 @t4376 @t4373)) % 54.75/54.95 (define @t4380 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2359)) % 54.75/54.95 (define @t4381 () (tptp.hAPP @t4380 @t1314)) % 54.75/54.95 (define @t4382 () (tptp.hAPP @t4381 @t1467)) % 54.75/54.95 (define @t4383 () (tptp.hBOOL (tptp.hAPP @t4382 @t16))) % 54.75/54.95 (define @t4384 () (tptp.hBOOL (tptp.hAPP @t3619 @t4382))) % 54.75/54.95 (define @t4385 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t289)) % 54.75/54.95 (define @t4386 () (tptp.hAPP @t4385 @t288)) % 54.75/54.95 (define @t4387 () (tptp.hAPP @t4386 @t367)) % 54.75/54.95 (define @t4388 () (tptp.hAPP @t956 @t4387)) % 54.75/54.95 (define @t4389 () (tptp.hBOOL (tptp.hAPP @t4388 @t288))) % 54.75/54.95 (define @t4390 () (tptp.class_Lattices_Osemilattice__inf @t289)) % 54.75/54.95 (define @t4391 () (tptp.hBOOL (tptp.hAPP @t4388 @t367))) % 54.75/54.95 (define @t4392 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t14)) % 54.75/54.95 (define @t4393 () (tptp.hAPP @t4392 @t16)) % 54.75/54.95 (define @t4394 () (tptp.hAPP @t4393 @t659)) % 54.75/54.95 (define @t4395 () (tptp.class_Lattices_Osemilattice__inf @t14)) % 54.75/54.95 (define @t4396 () (tptp.hAPP @t4385 @t181)) % 54.75/54.95 (define @t4397 () (tptp.hAPP @t4396 @t274)) % 54.75/54.95 (define @t4398 () (tptp.hAPP @t956 @t4397)) % 54.75/54.95 (define @t4399 () (tptp.hBOOL (tptp.hAPP @t4398 @t288))) % 54.75/54.95 (define @t4400 () (tptp.hBOOL (tptp.hAPP @t962 @t4397))) % 54.75/54.95 (define @t4401 () (tptp.hAPP @t4385 @t367)) % 54.75/54.95 (define @t4402 () (tptp.hAPP @t4401 @t365)) % 54.75/54.95 (define @t4403 () (tptp.hAPP @t4380 @t2575)) % 54.75/54.95 (define @t4404 () (tptp.hAPP @t2360 @t4382)) % 54.75/54.95 (define @t4405 () (tptp.hBOOL (tptp.hAPP @t3400 @t1314))) % 54.75/54.95 (define @t4406 () (@list @t1467 @t1314 @t2575 @t14)) % 54.75/54.95 (define @t4407 () (tptp.hAPP @t3219 @t1314)) % 54.75/54.95 (define @t4408 () (tptp.hAPP @t4380 @t3159)) % 54.75/54.95 (define @t4409 () (tptp.hAPP @t4403 @t1314)) % 54.75/54.95 (define @t4410 () (tptp.hAPP @t4380 @t1467)) % 54.75/54.95 (define @t4411 () (tptp.hAPP @t4410 @t2575)) % 54.75/54.95 (define @t4412 () (tptp.hAPP @t3144 @t4382)) % 54.75/54.95 (define @t4413 () (@list @t1314 @t2575 @t1467 @t14)) % 54.75/54.95 (define @t4414 () (tptp.hAPP @t4410 @t1314)) % 54.75/54.95 (define @t4415 () (tptp.hAPP @t4381 @t2575)) % 54.75/54.95 (define @t4416 () (tptp.hAPP @t4381 @t3181)) % 54.75/54.95 (define @t4417 () (tptp.class_Lattices_Odistrib__lattice @t289)) % 54.75/54.95 (define @t4418 () (tptp.hAPP @t4401 @t288)) % 54.75/54.95 (define @t4419 () (tptp.hAPP (tptp.hAPP @t4385 @t3193) @t3201)) % 54.75/54.95 (define @t4420 () (tptp.hAPP @t3191 @t4402)) % 54.75/54.95 (define @t4421 () (tptp.hAPP @t4386 @t365)) % 54.75/54.95 (define @t4422 () (tptp.hAPP (tptp.hAPP @t3188 @t4387) @t4421)) % 54.75/54.95 (define @t4423 () (tptp.hAPP @t4386 @t3190)) % 54.75/54.95 (define @t4424 () (= @t4382 @t3514)) % 54.75/54.95 (define @t4425 () (tptp.hAPP @t3393 @t4382)) % 54.75/54.95 (define @t4426 () (@list @t1467 @t1314 @t54 @t14)) % 54.75/54.95 (define @t4427 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2377)) % 54.75/54.95 (define @t4428 () (tptp.hAPP (tptp.hAPP @t4427 @t1314) @t1467)) % 54.75/54.95 (define @t4429 () (tptp.hAPP @t4381 @t4411)) % 54.75/54.95 (define @t4430 () (tptp.hAPP @t4386 @t4402)) % 54.75/54.95 (define @t4431 () (= (tptp.hAPP (tptp.hAPP @t4385 @t4387) @t365) @t4430)) % 54.75/54.95 (define @t4432 () (tptp.hAPP @t4385 @t274)) % 54.75/54.95 (define @t4433 () (tptp.hAPP @t4396 (tptp.hAPP @t4432 @t26))) % 54.75/54.95 (define @t4434 () (= @t4430 (tptp.hAPP @t4401 @t4421))) % 54.75/54.95 (define @t4435 () (= (tptp.hAPP @t4386 @t4387) @t4387)) % 54.75/54.95 (define @t4436 () (= @t4387 @t4418)) % 54.75/54.95 (define @t4437 () (= (tptp.hAPP @t4386 @t288) @t288)) % 54.75/54.95 (define @t4438 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t4397) @t288))) % 54.75/54.95 (define @t4439 () (tptp.hAPP @t2570 @t4415)) % 54.75/54.95 (define @t4440 () (tptp.hAPP @t4439 @t4411)) % 54.75/54.95 (define @t4441 () (tptp.hAPP @t4380 @t2572)) % 54.75/54.95 (define @t4442 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4237)) % 54.75/54.95 (define @t4443 () (tptp.hAPP @t4381 (tptp.hAPP @t3290 @t1467))) % 54.75/54.95 (define @t4444 () (tptp.c_COMBB @t2359 @t2359 @t420)) % 54.75/54.95 (define @t4445 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t4444 @t4381) @t1467))) % 54.75/54.95 (define @t4446 () (tptp.hAPP (tptp.hAPP @t4380 @t3291) @t1467)) % 54.75/54.95 (define @t4447 () (tptp.hAPP (tptp.hAPP @t3294 @t4380) @t1314)) % 54.75/54.95 (define @t4448 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t3295 @t4447) @t1467))) % 54.75/54.95 (define @t4449 () (@list @t1467 @t2575 @t420 @t1314 @t14)) % 54.75/54.95 (define @t4450 () (@list @t1314 @t3330 @t420 @t1467 @t14)) % 54.75/54.95 (define @t4451 () (tptp.c_COMBB @t2359 @t2359 @t579)) % 54.75/54.95 (define @t4452 () (tptp.hAPP (tptp.c_COMBB @t3293 (tptp.tc_fun @t3317 @t3317) @t420) @t4451)) % 54.75/54.95 (define @t4453 () (tptp.c_COMBC @t420 @t3317 @t3317)) % 54.75/54.95 (define @t4454 () (@var "V_J_2" $$unsorted)) % 54.75/54.95 (define @t4455 () (tptp.hAPP @t3316 @t4454)) % 54.75/54.95 (define @t4456 () (tptp.c_COMBB @t3317 @t2359 @t420)) % 54.75/54.95 (define @t4457 () (@list @t1467 @t4454 @t579 @t1314 @t3330 @t420 @t14)) % 54.75/54.95 (define @t4458 () (tptp.hAPP @t4385 @t775)) % 54.75/54.95 (define @t4459 () (tptp.hAPP @t4381 @t3394)) % 54.75/54.95 (define @t4460 () (=> @t3670 (= @t4459 @t4382))) % 54.75/54.95 (define @t4461 () (=> @t3632 (= @t4459 @t4425))) % 54.75/54.95 (define @t4462 () (tptp.hAPP (tptp.hAPP @t4380 @t3394) @t2575)) % 54.75/54.95 (define @t4463 () (tptp.hBOOL (tptp.hAPP @t3631 @t2575))) % 54.75/54.95 (define @t4464 () (=> (not @t4463) (= @t4462 @t4411))) % 54.75/54.95 (define @t4465 () (=> @t4463 (= @t4462 (tptp.hAPP @t3393 @t4411)))) % 54.75/54.95 (define @t4466 () (@list @t1467 @t2575 @t54 @t14)) % 54.75/54.95 (define @t4467 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2731)) % 54.75/54.95 (define @t4468 () (tptp.hAPP @t4467 @t1314)) % 54.75/54.95 (define @t4469 () (tptp.hAPP @t4468 @t1467)) % 54.75/54.95 (define @t4470 () (tptp.hAPP @t3144 @t2572)) % 54.75/54.95 (define @t4471 () (tptp.hAPP @t4380 @t3236)) % 54.75/54.95 (define @t4472 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2232)) % 54.75/54.95 (define @t4473 () (tptp.hAPP @t4380 @t2583)) % 54.75/54.95 (define @t4474 () (tptp.hAPP (tptp.hAPP @t4380 @t4265) @t4264)) % 54.75/54.95 (define @t4475 () (tptp.hAPP @t4262 @t4469)) % 54.75/54.95 (define @t4476 () (@list @t1467 @t1314 @t2461 @t420 @t14)) % 54.75/54.95 (define @t4477 () (tptp.hAPP @t4380 @t3240)) % 54.75/54.95 (define @t4478 () (tptp.c_Equiv__Relations_Ocongruent2 @t14 @t420 @t579 @t4373 @t4369 @t2)) % 54.75/54.95 (define @t4479 () (tptp.hAPP @t4392 @t54)) % 54.75/54.95 (define @t4480 () (tptp.hAPP @t2506 @t52)) % 54.75/54.95 (define @t4481 () (tptp.hAPP @t4480 @t859)) % 54.75/54.95 (define @t4482 () (tptp.hAPP @t3990 @t51)) % 54.75/54.95 (define @t4483 () (tptp.hAPP @t4380 @t2954)) % 54.75/54.95 (define @t4484 () (tptp.hAPP @t4380 @t3230)) % 54.75/54.95 (define @t4485 () (tptp.hAPP @t4380 @t3153)) % 54.75/54.95 (define @t4486 () (tptp.hAPP @t4380 @t3143)) % 54.75/54.95 (define @t4487 () (tptp.hAPP @t4380 @t3167)) % 54.75/54.95 (define @t4488 () (tptp.hAPP @t3423 @t3173)) % 54.75/54.95 (define @t4489 () (@list @t1467 @t1314 @t3423 @t1 @t57 @t2 @t420 @t14)) % 54.75/54.95 (define @t4490 () (tptp.hAPP @t3431 (tptp.hAPP @t3089 @t1467))) % 54.75/54.95 (define @t4491 () (tptp.hAPP @t3089 @t3159)) % 54.75/54.95 (define @t4492 () (@list @t1 @t1467 @t1314 @t14 @t420)) % 54.75/54.95 (define @t4493 () (tptp.hAPP @t4047 @t1467)) % 54.75/54.95 (define @t4494 () (tptp.hAPP @t4051 @t4493)) % 54.75/54.95 (define @t4495 () (tptp.hAPP @t4047 @t3159)) % 54.75/54.95 (define @t4496 () (tptp.hAPP @t3512 @t3449)) % 54.75/54.95 (define @t4497 () (tptp.hAPP @t3112 @t4382)) % 54.75/54.95 (define @t4498 () (tptp.hAPP @t3112 @t3159)) % 54.75/54.95 (define @t4499 () (tptp.hAPP (tptp.hAPP @t316 @t4498) @t4497)) % 54.75/54.95 (define @t4500 () (tptp.hAPP @t3689 @t1467)) % 54.75/54.95 (define @t4501 () (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3755 (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 @t4500)) @t2)) @t3413)) @t1314)) % 54.75/54.95 (define @t4502 () (tptp.hAPP @t3090 @t4382)) % 54.75/54.95 (define @t4503 () (@list @t1467 @t2 @t1314 @t14 @t420)) % 54.75/54.95 (define @t4504 () (tptp.hAPP @t3423 @t4382)) % 54.75/54.95 (define @t4505 () (= @t4488 @t4228)) % 54.75/54.95 (define @t4506 () (not @t4424)) % 54.75/54.95 (define @t4507 () (= @t4491 @t4490)) % 54.75/54.95 (define @t4508 () (= @t4495 @t4494)) % 54.75/54.95 (define @t4509 () (= @t4498 @t4496)) % 54.75/54.95 (define @t4510 () (@var "V_z2_2" $$unsorted)) % 54.75/54.95 (define @t4511 () (@var "V_z1_2" $$unsorted)) % 54.75/54.95 (define @t4512 () (@var "V_y2_2" $$unsorted)) % 54.75/54.95 (define @t4513 () (@var "V_y1_2" $$unsorted)) % 54.75/54.95 (define @t4514 () (= @t4229 @t4329)) % 54.75/54.95 (define @t4515 () (tptp.hAPP @t3796 @t659)) % 54.75/54.95 (define @t4516 () (tptp.hAPP @t3799 (tptp.hAPP @t4515 @t57))) % 54.75/54.95 (define @t4517 () (tptp.c_Equiv__Relations_Ocongruent @t14 @t420 @t2020 @t2)) % 54.75/54.95 (define @t4518 () (tptp.hAPP @t3305 @t54)) % 54.75/54.95 (define @t4519 () (tptp.hAPP @t3799 (tptp.hAPP @t3797 @t257))) % 54.75/54.95 (define @t4520 () (tptp.hBOOL (tptp.hAPP @t4519 @t2020))) % 54.75/54.95 (define @t4521 () (tptp.hBOOL (tptp.hAPP @t4338 @t1314))) % 54.75/54.95 (define @t4522 () (tptp.hAPP (tptp.hAPP @t3272 @t89) @t2)) % 54.75/54.95 (define @t4523 () (@var "V_X2_2" $$unsorted)) % 54.75/54.95 (define @t4524 () (@var "V_X1_2" $$unsorted)) % 54.75/54.95 (define @t4525 () (tptp.c_member @t2462)) % 54.75/54.95 (define @t4526 () (@var "B_x2" $$unsorted)) % 54.75/54.95 (define @t4527 () (tptp.c_member @t2731)) % 54.75/54.95 (define @t4528 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3474)) % 54.75/54.95 (define @t4529 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2732)) % 54.75/54.95 (define @t4530 () (= @t821 @t19)) % 54.75/54.95 (define @t4531 () (tptp.hBOOL (tptp.hAPP @t3086 @t4382))) % 54.75/54.95 (define @t4532 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4529 @t1314) @t1467) @t16) @t659))) % 54.75/54.95 (define @t4533 () (tptp.c_member @t4131)) % 54.75/54.95 (define @t4534 () (tptp.hAPP (tptp.hAPP @t3144 @t3133) @t4206)) % 54.75/54.95 (define @t4535 () (tptp.hBOOL (tptp.hAPP @t3086 (tptp.hAPP (tptp.hAPP @t4380 @t3133) @t4206)))) % 54.75/54.95 (define @t4536 () (forall @t8 (=> @t4535 @t4209))) % 54.75/54.95 (define @t4537 () (@list @t2 @t4206 @t3133 @t14 @t420)) % 54.75/54.95 (define @t4538 () (tptp.hAPP @t4393 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3585))) % 54.75/54.95 (define @t4539 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t1314)) % 54.75/54.95 (define @t4540 () (tptp.hAPP @t4234 @t4)) % 54.75/54.95 (define @t4541 () (tptp.hAPP @t3185 @t54)) % 54.75/54.95 (define @t4542 () (tptp.hAPP @t4393 @t4539)) % 54.75/54.95 (define @t4543 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3404)) % 54.75/54.95 (define @t4544 () (=> @t3530 (= @t4543 @t4542))) % 54.75/54.95 (define @t4545 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t1467)) % 54.75/54.95 (define @t4546 () (tptp.hAPP (tptp.hAPP @t4392 @t4539) @t4545)) % 54.75/54.95 (define @t4547 () (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3159)) % 54.75/54.95 (define @t4548 () (= @t4547 @t4546)) % 54.75/54.95 (define @t4549 () (tptp.hAPP (tptp.hAPP @t4392 @t4) @t257)) % 54.75/54.95 (define @t4550 () (tptp.c_Finite__Set_Ofolding__idem @t14 @t420 @t2 @t3423)) % 54.75/54.95 (define @t4551 () (tptp.hAPP @t2461 @t4)) % 54.75/54.95 (define @t4552 () (tptp.c_Equiv__Relations_Oequivp @t14 @t2461)) % 54.75/54.95 (define @t4553 () (@list @t2461 @t14)) % 54.75/54.95 (define @t4554 () (tptp.hAPP @t2461 @t659)) % 54.75/54.95 (define @t4555 () (tptp.hBOOL (tptp.hAPP @t3976 @t659))) % 54.75/54.95 (define @t4556 () (= (tptp.hAPP @t4322 @t615) @t615)) % 54.75/54.95 (define @t4557 () (tptp.c_Fun_Oinj__on @t14 @t4237 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t3791 @t4237) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 (tptp.tc_fun @t3791 @t4237) @t14) @t4343) @t3569)) @t2020) @t1314)) % 54.75/54.95 (define @t4558 () (tptp.c_Finite__Set_Ofold__image @t420 @t14 @t3840)) % 54.75/54.95 (define @t4559 () (tptp.hAPP @t4558 @t1)) % 54.75/54.95 (define @t4560 () (tptp.hAPP @t4559 @t4046)) % 54.75/54.95 (define @t4561 () (tptp.hAPP @t4560 @t1314)) % 54.75/54.95 (define @t4562 () (tptp.hAPP @t3840 @t4561)) % 54.75/54.95 (define @t4563 () (tptp.hAPP @t4562 (tptp.hAPP @t4560 @t1467))) % 54.75/54.95 (define @t4564 () (tptp.hAPP @t4560 @t3159)) % 54.75/54.95 (define @t4565 () (= @t615 @t2420)) % 54.75/54.95 (define @t4566 () (not @t4565)) % 54.75/54.95 (define @t4567 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t1314)) % 54.75/54.95 (define @t4568 () (@list @t659 @t16 @t1314 @t2 @t420 @t14)) % 54.75/54.95 (define @t4569 () (= @t4565 @t678)) % 54.75/54.95 (define @t4570 () (= @t3496 @t3113)) % 54.75/54.95 (define @t4571 () (= (= @t3070 @t3069) @t2486)) % 54.75/54.95 (define @t4572 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t3159)) % 54.75/54.95 (define @t4573 () (tptp.c_Fun_Ocomp @t420 @t579 @t14 @t1)) % 54.75/54.95 (define @t4574 () (tptp.c_Set_Oimage @t14 @t579 @t2)) % 54.75/54.95 (define @t4575 () (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t420 @t14 @t1) @t2)) % 54.75/54.95 (define @t4576 () (tptp.c_Fun_Oinj__on @t420 @t14 @t2 @t1314)) % 54.75/54.95 (define @t4577 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t1467)) % 54.75/54.95 (define @t4578 () (@list @t1314 @t1467 @t2 @t420 @t14)) % 54.75/54.95 (define @t4579 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t14 @t420 @t2) @t1)) % 54.75/54.95 (define @t4580 () (tptp.hAPP @t4579 @t57)) % 54.75/54.95 (define @t4581 () (tptp.c_Groups_Otimes__class_Otimes @t579)) % 54.75/54.95 (define @t4582 () (tptp.c_Finite__Set_Ofold__image @t579 @t14 @t4581)) % 54.75/54.95 (define @t4583 () (tptp.c_Finite__Set_Ofold__image @t579 @t420 @t4581)) % 54.75/54.95 (define @t4584 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t3353)) % 54.75/54.95 (define @t4585 () (tptp.tc_fun @t579 @t420)) % 54.75/54.95 (define @t4586 () (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t420 @t579 @t2) @t1)) % 54.75/54.95 (define @t4587 () (@list @t1 @t579 @t2 @t420 @t14)) % 54.75/54.95 (define @t4588 () (= @t257 @t4)) % 54.75/54.95 (define @t4589 () (tptp.hAPP @t3305 @t55)) % 54.75/54.95 (define @t4590 () (tptp.hAPP @t4580 @t1314)) % 54.75/54.95 (define @t4591 () (@var "B_g" $$unsorted)) % 54.75/54.95 (define @t4592 () (tptp.hAPP @t3065 (tptp.hAPP (tptp.c_Set_Oimage @t14 @t420 @t4245) @t1314))) % 54.75/54.95 (define @t4593 () (tptp.c_Fun_Oinj__on @t14 @t420 @t4245 @t1314)) % 54.75/54.95 (define @t4594 () (tptp.c_Set_Oimage @t14 @t14 @t2)) % 54.75/54.95 (define @t4595 () (tptp.hAPP @t4594 @t1314)) % 54.75/54.95 (define @t4596 () (tptp.c_Fun_Oinj__on @t14 @t14 @t2 @t1314)) % 54.75/54.95 (define @t4597 () (tptp.c_Fun_Oinj__on @t14 @t14 @t2 @t3353)) % 54.75/54.95 (define @t4598 () (= (tptp.hAPP @t4594 @t3353) @t3353)) % 54.75/54.95 (define @t4599 () (= (tptp.hAPP @t3068 @t4382) (tptp.hAPP (tptp.hAPP @t4467 @t3070) @t3069))) % 54.75/54.95 (define @t4600 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t2575)) % 54.75/54.95 (define @t4601 () (@list @t1467 @t1314 @t2575 @t2 @t420 @t14)) % 54.75/54.95 (define @t4602 () (tptp.hAPP @t3068 @t2572)) % 54.75/54.95 (define @t4603 () (= @t4602 (tptp.hAPP (tptp.hAPP @t3074 @t3070) @t3069))) % 54.75/54.95 (define @t4604 () (@list @t2680 @t1467 @t2 @t420 @t14 @t579)) % 54.75/54.95 (define @t4605 () (tptp.hBOOL (tptp.hAPP @t3702 @t3070))) % 54.75/54.95 (define @t4606 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t14 @t579)) % 54.75/54.95 (define @t4607 () (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t420 @t579)) % 54.75/54.95 (define @t4608 () (tptp.hAPP @t4607 @t2680)) % 54.75/54.95 (define @t4609 () (= (tptp.hAPP @t4608 @t1467) (tptp.hAPP (tptp.hAPP @t4606 @t1) @t1314))) % 54.75/54.95 (define @t4610 () (= @t1467 @t3070)) % 54.75/54.95 (define @t4611 () (tptp.class_Groups_Ocomm__monoid__mult @t579)) % 54.75/54.95 (define @t4612 () (@list @t2680 @t1 @t1467 @t1314 @t2 @t420 @t14 @t579)) % 54.75/54.95 (define @t4613 () (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t420 @t14 @t1) @t2680)) % 54.75/54.95 (define @t4614 () (tptp.hAPP @t4119 @t1314)) % 54.75/54.95 (define @t4615 () (tptp.c_Fun_Oinj__on @t14 @t14 @t2680 @t1314)) % 54.75/54.95 (define @t4616 () (@list @t1 @t2680 @t1314 @t14 @t420)) % 54.75/54.95 (define @t4617 () (tptp.hBOOL (tptp.hAPP @t3071 @t1467))) % 54.75/54.95 (define @t4618 () (tptp.hAPP @t4558 @t2680)) % 54.75/54.95 (define @t4619 () (tptp.hAPP @t4559 @t57)) % 54.75/54.95 (define @t4620 () (tptp.hAPP @t4619 @t1314)) % 54.75/54.95 (define @t4621 () (tptp.hAPP @t1 @t54)) % 54.75/54.95 (define @t4622 () (tptp.class_Groups_Oab__semigroup__mult @t420)) % 54.75/54.95 (define @t4623 () (=> @t3415 (= @t3414 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t420 @t14 @t3430) @t1) @t3413) @t1314)))) % 54.75/54.95 (define @t4624 () (=> @t3415 (= @t4048 @t4561))) % 54.75/54.95 (define @t4625 () (tptp.hBOOL (tptp.hAPP @t3494 @t3511))) % 54.75/54.95 (define @t4626 () (=> @t3415 (= @t3113 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat @t14 @t316) @t3111) @t19) @t1314)))) % 54.75/54.95 (define @t4627 () (tptp.hAPP @t3423 @t1)) % 54.75/54.95 (define @t4628 () (tptp.hAPP @t4627 @t1314)) % 54.75/54.95 (define @t4629 () (=> (not @t3616) (= @t4628 @t57))) % 54.75/54.95 (define @t4630 () (=> @t3616 (= @t4628 @t4590))) % 54.75/54.95 (define @t4631 () (tptp.c_Big__Operators_Ocomm__monoid__big @t14 @t420 @t2 @t57 @t3423)) % 54.75/54.95 (define @t4632 () (@list @t1 @t1314 @t3423 @t57 @t2 @t420 @t14)) % 54.75/54.95 (define @t4633 () (tptp.c_Finite__Set_Ofolding__image @t14 @t420 @t2 @t57 @t3423)) % 54.75/54.95 (define @t4634 () (tptp.hAPP (tptp.hAPP @t4558 @t2) @t4046)) % 54.75/54.95 (define @t4635 () (tptp.hAPP @t4634 @t3133)) % 54.75/54.95 (define @t4636 () (tptp.hAPP (tptp.c_COMBC @t420 @t14 @t2675) @t2593)) % 54.75/54.95 (define @t4637 () (tptp.hAPP (tptp.hAPP @t2883 @t2) @t1)) % 54.75/54.95 (define @t4638 () (tptp.hAPP (tptp.c_Set_Oimage @t579 @t14 @t1) @t1314)) % 54.75/54.95 (define @t4639 () (tptp.c_Fun_Othe__inv__into @t14 @t420 @t1314 @t2)) % 54.75/54.95 (define @t4640 () (tptp.hAPP @t4639 @t16)) % 54.75/54.95 (define @t4641 () (tptp.c_COMBB @t420 @t2731 @t14)) % 54.75/54.95 (define @t4642 () (tptp.hAPP (tptp.hAPP @t4641 tptp.c_fequal) @t2)) % 54.75/54.95 (define @t4643 () (tptp.c_COMBC @t14 @t420 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4644 () (tptp.hAPP @t4643 @t4642)) % 54.75/54.95 (define @t4645 () (tptp.c_Set_Ovimage @t14 @t420 @t2)) % 54.75/54.95 (define @t4646 () (tptp.hAPP @t4645 @t3570)) % 54.75/54.95 (define @t4647 () (@list @t54 @t2 @t420 @t14)) % 54.75/54.95 (define @t4648 () (tptp.c_Set_Ovimage @t420 @t14 @t2)) % 54.75/54.95 (define @t4649 () (tptp.hAPP @t4648 @t1467)) % 54.75/54.95 (define @t4650 () (= @t55 @t52)) % 54.75/54.95 (define @t4651 () (tptp.hAPP @t4645 @t1467)) % 54.75/54.95 (define @t4652 () (tptp.hAPP @t4645 @t1314)) % 54.75/54.95 (define @t4653 () (tptp.hAPP @t4648 @t1314)) % 54.75/54.95 (define @t4654 () (tptp.hAPP @t3055 @t4653)) % 54.75/54.95 (define @t4655 () (@list @t16 @t1314 @t2 @t420 @t14)) % 54.75/54.95 (define @t4656 () (tptp.hAPP (tptp.hAPP @t3338 @t4645) @t1467)) % 54.75/54.95 (define @t4657 () (@list @t1467 @t1314 @t579 @t2 @t420 @t14)) % 54.75/54.95 (define @t4658 () (tptp.hAPP @t3410 @t52)) % 54.75/54.95 (define @t4659 () (tptp.hAPP (tptp.c_Set_Ovimage @t420 @t14 @t4281) @t1314)) % 54.75/54.95 (define @t4660 () (@list @t1467 @t2 @t420 @t14)) % 54.75/54.95 (define @t4661 () (tptp.hAPP @t4639 @t659)) % 54.75/54.95 (define @t4662 () (tptp.hAPP @t2761 @t4252)) % 54.75/54.95 (define @t4663 () (tptp.c_COMBS @t14 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4664 () (tptp.hAPP @t4663 @t4662)) % 54.75/54.95 (define @t4665 () (tptp.hAPP @t3745 @t1467)) % 54.75/54.95 (define @t4666 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2290 @t420) @t2289)) % 54.75/54.95 (define @t4667 () (tptp.hAPP (tptp.c_Set_Ovimage @t420 @t14 (tptp.hAPP (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t14 @t2256) (tptp.hAPP @t4666 @t4665)) @t51)) @t859)) @t1314)) % 54.75/54.95 (define @t4668 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t859) @t1314))) % 54.75/54.95 (define @t4669 () (not @t4668)) % 54.75/54.95 (define @t4670 () (tptp.c_Map_Odom @t14 @t420 @t2)) % 54.75/54.95 (define @t4671 () (tptp.c_Map_Odom @t14 @t420 @t347)) % 54.75/54.95 (define @t4672 () (tptp.c_Map_Odom @t420 @t14 @t2)) % 54.75/54.95 (define @t4673 () (tptp.hAPP @t3610 @t4672)) % 54.75/54.95 (define @t4674 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t4074 @t14) @t421) @t2)) % 54.75/54.95 (define @t4675 () (tptp.hAPP @t3074 @t4672)) % 54.75/54.95 (define @t4676 () (tptp.c_Map_Odom @t420 @t14 (tptp.hAPP (tptp.hAPP @t4072 @t16) @t659))) % 54.75/54.95 (define @t4677 () (= @t659 @t285)) % 54.75/54.95 (define @t4678 () (not @t3699)) % 54.75/54.95 (define @t4679 () (tptp.c_Finite__Set_Ofold__graph @t14 @t14 @t761 @t52 @t1314)) % 54.75/54.95 (define @t4680 () (tptp.class_Groups_Oab__semigroup__mult @t14)) % 54.75/54.95 (define @t4681 () (tptp.c_Wellfounded_Oacc @t14 @t2020)) % 54.75/54.95 (define @t4682 () (tptp.hBOOL (tptp.hAPP @t3606 @t4681))) % 54.75/54.95 (define @t4683 () (tptp.hAPP @t4162 @t2020)) % 54.75/54.95 (define @t4684 () (@list @t16 @t2020 @t14)) % 54.75/54.95 (define @t4685 () (tptp.c_Finite__Set_Ofold__graph @t14 @t420 @t2 @t57 @t1314)) % 54.75/54.95 (define @t4686 () (tptp.hBOOL (tptp.hAPP @t4685 @t16))) % 54.75/54.95 (define @t4687 () (= @t16 @t57)) % 54.75/54.95 (define @t4688 () (tptp.c_Finite__Set_Ofold__graph @t14 @t420 @t2 @t57 @t3514)) % 54.75/54.95 (define @t4689 () (tptp.c_Finite__Set_Ofold__graph @t14 @t420 @t2 @t57 @t3404)) % 54.75/54.95 (define @t4690 () (tptp.hBOOL (tptp.hAPP @t4685 @t659))) % 54.75/54.95 (define @t4691 () (tptp.hBOOL (tptp.hAPP @t3631 @t4681))) % 54.75/54.95 (define @t4692 () (tptp.hBOOL (tptp.hAPP @t3642 @t4681))) % 54.75/54.95 (define @t4693 () (tptp.hBOOL (tptp.hAPP @t3086 @t4681))) % 54.75/54.95 (define @t4694 () (@list @t2020 @t54 @t14)) % 54.75/54.95 (define @t4695 () (@list @t659 @t16 @t1314 @t57 @t2 @t420 @t14)) % 54.75/54.95 (define @t4696 () (tptp.hBOOL (tptp.hAPP @t3304 @t97))) % 54.75/54.95 (define @t4697 () (tptp.hBOOL (tptp.hAPP @t3086 @t94))) % 54.75/54.95 (define @t4698 () (not @t3957)) % 54.75/54.95 (define @t4699 () (tptp.hBOOL (tptp.hAPP @t3387 @t97))) % 54.75/54.95 (define @t4700 () (tptp.hBOOL (tptp.hAPP @t3387 @t94))) % 54.75/54.95 (define @t4701 () (tptp.hAPP @t3799 (tptp.hAPP @t3797 @t3014))) % 54.75/54.95 (define @t4702 () (tptp.hBOOL (tptp.hAPP @t4701 @t2461))) % 54.75/54.95 (define @t4703 () (tptp.hBOOL (tptp.hAPP @t3387 @t89))) % 54.75/54.95 (define @t4704 () (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t1314)) % 54.75/54.95 (define @t4705 () (tptp.c_Finite__Set_Ofold__graph @t14 @t14 @t2 @t446 @t4223)) % 54.75/54.95 (define @t4706 () (tptp.hAPP @t4222 @t4223)) % 54.75/54.95 (define @t4707 () (tptp.hAPP @t4372 @t97)) % 54.75/54.95 (define @t4708 () (tptp.hAPP @t3393 @t89)) % 54.75/54.95 (define @t4709 () (tptp.tc_fun @t2462 @t2462)) % 54.75/54.95 (define @t4710 () (tptp.c_Product__Type_OSigma @t14 @t420)) % 54.75/54.95 (define @t4711 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2439 @t579) @t2400) @t2)) % 54.75/54.95 (define @t4712 () (tptp.hAPP @t4710 @t1314)) % 54.75/54.95 (define @t4713 () (tptp.hAPP @t4712 @t1467)) % 54.75/54.95 (define @t4714 () (tptp.hBOOL (tptp.hAPP @t3660 @t4713))) % 54.75/54.95 (define @t4715 () (tptp.hAPP @t4710 @t3330)) % 54.75/54.95 (define @t4716 () (tptp.hAPP @t4715 @t1467)) % 54.75/54.95 (define @t4717 () (tptp.hAPP @t4715 @t1314)) % 54.75/54.95 (define @t4718 () (tptp.c_Groups_Ominus__class_Ominus @t3474)) % 54.75/54.95 (define @t4719 () (tptp.hAPP (tptp.hAPP @t3577 @t3074) @t1314)) % 54.75/54.95 (define @t4720 () (tptp.c_COMBS @t14 @t2731 @t2731)) % 54.75/54.95 (define @t4721 () (tptp.hAPP @t3534 @t2575)) % 54.75/54.95 (define @t4722 () (tptp.hAPP @t4710 @t1467)) % 54.75/54.95 (define @t4723 () (tptp.hAPP @t4722 @t4721)) % 54.75/54.95 (define @t4724 () (tptp.hAPP @t4712 @t4721)) % 54.75/54.95 (define @t4725 () (@list @t2575 @t1467 @t1314 @t420 @t14)) % 54.75/54.95 (define @t4726 () (tptp.hAPP (tptp.hAPP @t4710 @t4454) @t2575)) % 54.75/54.95 (define @t4727 () (tptp.hAPP @t4715 @t2575)) % 54.75/54.95 (define @t4728 () (@list @t2575 @t4454 @t3330 @t420 @t14)) % 54.75/54.95 (define @t4729 () (tptp.hAPP @t3533 @t2575)) % 54.75/54.95 (define @t4730 () (tptp.c_Product__Type_OSigma @t420 @t14)) % 54.75/54.95 (define @t4731 () (tptp.hAPP (tptp.hAPP @t4730 @t1467) @t4729)) % 54.75/54.95 (define @t4732 () (tptp.hAPP @t4730 @t1314)) % 54.75/54.95 (define @t4733 () (tptp.hAPP @t4732 @t4729)) % 54.75/54.95 (define @t4734 () (tptp.hBOOL (tptp.hAPP @t3606 @t2575))) % 54.75/54.95 (define @t4735 () (@list @t1467 @t1314 @t420 @t2575 @t16 @t14)) % 54.75/54.95 (define @t4736 () (tptp.tc_fun tptp.tc_String_Onibble tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4737 () (tptp.c_Orderings_Otop__class_Otop @t4736)) % 54.75/54.95 (define @t4738 () (tptp.hAPP @t3534 @t1467)) % 54.75/54.95 (define @t4739 () (tptp.hAPP @t4712 @t4738)) % 54.75/54.95 (define @t4740 () (tptp.c_Finite__Set_Ocard @t2437)) % 54.75/54.95 (define @t4741 () (tptp.c_COMBK @t2462 @t420)) % 54.75/54.95 (define @t4742 () (tptp.c_Product__Type_OSigma @t420 @t579)) % 54.75/54.95 (define @t4743 () (tptp.hAPP (tptp.hAPP @t4742 @t1314) (tptp.hAPP @t4741 @t1467))) % 54.75/54.95 (define @t4744 () (tptp.hAPP @t4710 @t3353)) % 54.75/54.95 (define @t4745 () (tptp.hAPP @t3534 @t1314)) % 54.75/54.95 (define @t4746 () (tptp.c_Groups_Ouminus__class_Ouminus @t3474)) % 54.75/54.95 (define @t4747 () (tptp.hAPP @t3534 @t3357)) % 54.75/54.95 (define @t4748 () (tptp.hAPP @t4732 (tptp.hAPP @t3533 @t1467))) % 54.75/54.95 (define @t4749 () (tptp.hAPP (tptp.c_COMBC @t14 @t420 @t2437) @t2400)) % 54.75/54.95 (define @t4750 () (tptp.hBOOL (tptp.hAPP @t3476 @t4739))) % 54.75/54.95 (define @t4751 () (tptp.c_COMBK @t2359 @t14)) % 54.75/54.95 (define @t4752 () (tptp.c_Product__Type_OSigma @t14 @t14)) % 54.75/54.95 (define @t4753 () (tptp.hAPP (tptp.hAPP @t4752 @t1314) (tptp.hAPP @t4751 @t1314))) % 54.75/54.95 (define @t4754 () (tptp.hBOOL (tptp.hAPP @t4197 @t4753))) % 54.75/54.95 (define @t4755 () (tptp.hAPP (tptp.hAPP @t3577 @t4467) @t1314)) % 54.75/54.95 (define @t4756 () (@list @t1467 @t1314 @t52 @t54 @t420 @t14)) % 54.75/54.95 (define @t4757 () (tptp.hAPP @t3065 @t1314)) % 54.75/54.95 (define @t4758 () (tptp.c_Orderings_Oord__class_Oless__eq @t4291)) % 54.75/54.95 (define @t4759 () (tptp.hAPP @t3752 @t2020)) % 54.75/54.95 (define @t4760 () (tptp.hBOOL (tptp.hAPP @t4759 @t4739))) % 54.75/54.95 (define @t4761 () (tptp.c_Set_Oimage @t2675 @t420 @t2596)) % 54.75/54.95 (define @t4762 () (tptp.hAPP @t4761 @t4748)) % 54.75/54.95 (define @t4763 () (tptp.c_Set_Oimage @t2437 @t420 @t2550)) % 54.75/54.95 (define @t4764 () (tptp.hAPP @t4763 @t4739)) % 54.75/54.95 (define @t4765 () (tptp.hAPP @t4710 @t3455)) % 54.75/54.95 (define @t4766 () (tptp.hAPP @t3534 (tptp.hAPP @t4658 @t1467))) % 54.75/54.95 (define @t4767 () (tptp.c_Set_Oinsert @t2437)) % 54.75/54.95 (define @t4768 () (tptp.hAPP @t4767 @t2402)) % 54.75/54.95 (define @t4769 () (@var "V_E_2" $$unsorted)) % 54.75/54.95 (define @t4770 () (tptp.tc_fun @t2732 @t3474)) % 54.75/54.95 (define @t4771 () (tptp.tc_fun @t2443 @t3474)) % 54.75/54.95 (define @t4772 () (tptp.tc_fun @t2443 @t2732)) % 54.75/54.95 (define @t4773 () (tptp.tc_fun @t2443 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4774 () (tptp.tc_fun @t3474 @t3474)) % 54.75/54.95 (define @t4775 () (tptp.tc_fun @t420 @t4774)) % 54.75/54.95 (define @t4776 () (tptp.tc_fun @t420 @t3474)) % 54.75/54.95 (define @t4777 () (tptp.c_Groups_Oone__class_Oone @t579)) % 54.75/54.95 (define @t4778 () (tptp.tc_fun @t2731 @t579)) % 54.75/54.95 (define @t4779 () (tptp.c_COMBS @t14 @t2731 @t579)) % 54.75/54.95 (define @t4780 () (forall @t447 (=> @t4254 (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP @t1467 @t446)))))) % 54.75/54.95 (define @t4781 () (tptp.c_COMBB @t2438 @t4778 @t14)) % 54.75/54.95 (define @t4782 () (tptp.hAPP @t4779 (tptp.hAPP (tptp.hAPP @t4781 @t4258) @t2))) % 54.75/54.95 (define @t4783 () (tptp.hAPP (tptp.c_COMBB @t2731 tptp.tc_Nat_Onat @t14) @t3116)) % 54.75/54.95 (define @t4784 () (tptp.hAPP @t2400 @t4)) % 54.75/54.95 (define @t4785 () (tptp.hAPP @t4784 @t257)) % 54.75/54.95 (define @t4786 () (tptp.hAPP @t3659 @t51)) % 54.75/54.95 (define @t4787 () (tptp.tc_prod @t14 @t579)) % 54.75/54.95 (define @t4788 () (tptp.tc_fun @t4787 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4789 () (tptp.tc_prod @t420 @t2443)) % 54.75/54.95 (define @t4790 () (tptp.c_Set_Oimage @t4789 @t4787 (tptp.c_Product__Type_Omap__pair @t420 @t14 @t2443 @t579 @t2 @t1))) % 54.75/54.95 (define @t4791 () (tptp.c_Set_Oimage @t2443 @t579 @t1)) % 54.75/54.95 (define @t4792 () (tptp.c_COMBK @t2462 @t14)) % 54.75/54.95 (define @t4793 () (tptp.c_Product__Type_OSigma @t14 @t579)) % 54.75/54.95 (define @t4794 () (tptp.hAPP @t4793 @t1314)) % 54.75/54.95 (define @t4795 () (tptp.c_Product__Type_Omap__pair @t14 @t579 @t420 @t2443 @t2 @t1)) % 54.75/54.95 (define @t4796 () (tptp.hAPP @t1 @t52)) % 54.75/54.95 (define @t4797 () (tptp.c_Product__Type_OPair @t579 @t2443)) % 54.75/54.95 (define @t4798 () (tptp.c_member @t2685)) % 54.75/54.95 (define @t4799 () (tptp.tc_prod @t2443 @t579)) % 54.75/54.95 (define @t4800 () (tptp.tc_prod @t2441 @t2681)) % 54.75/54.95 (define @t4801 () (@var "V_prod_2" $$unsorted)) % 54.75/54.95 (define @t4802 () (tptp.c_Product__Type_Omap__pair @t579 @t14 @t2443 @t420 @t2 @t1)) % 54.75/54.95 (define @t4803 () (tptp.c_Product__Type_Omap__pair @t14 @t14 @t420 @t420 @t2207 (tptp.c_COMBI @t420))) % 54.75/54.95 (define @t4804 () (tptp.tc_fun @t2443 @t2685)) % 54.75/54.95 (define @t4805 () (tptp.tc_fun @t420 @t2685)) % 54.75/54.95 (define @t4806 () (tptp.tc_fun @t420 @t2443)) % 54.75/54.95 (define @t4807 () (@var "V_B_H_2" $$unsorted)) % 54.75/54.95 (define @t4808 () (forall @t8 (=> @t3087 @t3801))) % 54.75/54.95 (define @t4809 () (tptp.c_Relation_Orefl__on @t14 @t1314 @t2020)) % 54.75/54.95 (define @t4810 () (tptp.c_Relation_Orefl__on @t14 @t1467 @t98)) % 54.75/54.95 (define @t4811 () (@list @t98 @t1467 @t2020 @t1314 @t14)) % 54.75/54.95 (define @t4812 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t3791)) % 54.75/54.95 (define @t4813 () (tptp.hAPP @t4812 @t2020)) % 54.75/54.95 (define @t4814 () (tptp.hAPP @t3799 (tptp.hAPP @t3961 @t54))) % 54.75/54.95 (define @t4815 () (tptp.hBOOL (tptp.hAPP @t4814 @t2020))) % 54.75/54.95 (define @t4816 () (@list @t1314 @t2020 @t14)) % 54.75/54.95 (define @t4817 () (tptp.c_Finite__Set_Ofold1 @t14 @t761)) % 54.75/54.95 (define @t4818 () (tptp.hAPP @t4817 @t1314)) % 54.75/54.95 (define @t4819 () (= (tptp.hAPP @t4817 @t3159) (tptp.hAPP (tptp.hAPP @t761 @t4818) (tptp.hAPP @t4817 @t1467)))) % 54.75/54.95 (define @t4820 () (tptp.c_Finite__Set_Ofold1 @t14 @t2)) % 54.75/54.95 (define @t4821 () (tptp.hAPP @t4820 @t1314)) % 54.75/54.95 (define @t4822 () (=> @t3415 (= @t3708 @t4821))) % 54.75/54.95 (define @t4823 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t14 @t4392) @t1314)) % 54.75/54.95 (define @t4824 () (tptp.c_Finite__Set_Ofold1 @t14 @t2506)) % 54.75/54.95 (define @t4825 () (tptp.hAPP @t4824 @t1314)) % 54.75/54.95 (define @t4826 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t14 @t2630) @t1314)) % 54.75/54.95 (define @t4827 () (tptp.hBOOL (tptp.hAPP @t1026 @t4))) % 54.75/54.95 (define @t4828 () (forall @t8 (=> @t3087 @t4827))) % 54.75/54.95 (define @t4829 () (tptp.hAPP @t1025 @t4825)) % 54.75/54.95 (define @t4830 () (= (tptp.hAPP @t4817 @t3404) (tptp.hAPP @t762 @t4818))) % 54.75/54.95 (define @t4831 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t14)) % 54.75/54.95 (define @t4832 () (tptp.hAPP @t1025 @t4)) % 54.75/54.95 (define @t4833 () (tptp.hAPP (tptp.hAPP @t761 @t4) @t257)) % 54.75/54.95 (define @t4834 () (tptp.hAPP tptp.c_Int_ORep__Integ @t4)) % 54.75/54.95 (define @t4835 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4533 @t659) tptp.c_Int_OInteg))) % 54.75/54.95 (define @t4836 () (tptp.c_COMBC @t2359 @t2359 @t2359)) % 54.75/54.95 (define @t4837 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t3293 @t14) (tptp.hAPP @t4836 @t2570)) @t3569)) % 54.75/54.95 (define @t4838 () (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t420 @t2)) % 54.75/54.95 (define @t4839 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t3432 @t579) @t2) @t1)) % 54.75/54.95 (define @t4840 () (tptp.hAPP @t615 @t57)) % 54.75/54.95 (define @t4841 () (tptp.hAPP @t2928 @t448)) % 54.75/54.95 (define @t4842 () (tptp.c_COMBC tptp.tc_Nat_Onat @t2232 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4843 () (tptp.hAPP @t4842 @t2977)) % 54.75/54.95 (define @t4844 () (tptp.c_Set_OCollect tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t4845 () (tptp.hAPP @t3129 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP @t2931 (tptp.hAPP @t2929 (tptp.hAPP @t4843 @t3254))) (tptp.hAPP @t4841 @t3102))))) % 54.75/54.95 (define @t4846 () (tptp.hAPP @t4841 @t434)) % 54.75/54.95 (define @t4847 () (tptp.tc_fun @t2232 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4848 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4847 tptp.tc_Nat_Onat) @t2977)) % 54.75/54.95 (define @t4849 () (tptp.hAPP @t4842 (tptp.hAPP @t4848 tptp.c_Nat_OSuc))) % 54.75/54.95 (define @t4850 () (tptp.hAPP @t3129 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP @t2931 (tptp.hAPP @t2929 (tptp.hAPP @t4849 @t3254))) @t4846)))) % 54.75/54.95 (define @t4851 () (tptp.hAPP @t2977 @t19)) % 54.75/54.95 (define @t4852 () (tptp.hBOOL (tptp.hAPP @t4851 @t3254))) % 54.75/54.95 (define @t4853 () (@list @t434 @t3254)) % 54.75/54.95 (define @t4854 () (tptp.c_Set_OCollect @t14)) % 54.75/54.95 (define @t4855 () (tptp.hAPP @t4854 @t87)) % 54.75/54.95 (define @t4856 () (tptp.hBOOL (tptp.hAPP @t3631 @t4855))) % 54.75/54.95 (define @t4857 () (tptp.hBOOL (tptp.hAPP @t87 @t54))) % 54.75/54.95 (define @t4858 () (@list @t14 @t54 @t87)) % 54.75/54.95 (define @t4859 () (tptp.hAPP @t2761 @t87)) % 54.75/54.95 (define @t4860 () (tptp.hAPP @t4663 @t4859)) % 54.75/54.95 (define @t4861 () (tptp.hAPP @t4854 (tptp.hAPP @t4860 @t2599))) % 54.75/54.95 (define @t4862 () (tptp.hAPP @t4854 @t2599)) % 54.75/54.95 (define @t4863 () (tptp.hBOOL (tptp.hAPP @t3387 @t4862))) % 54.75/54.95 (define @t4864 () (tptp.hBOOL (tptp.hAPP @t3387 @t4855))) % 54.75/54.95 (define @t4865 () (@list @t2599 @t87 @t14)) % 54.75/54.95 (define @t4866 () (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t2761 @t2771)) @t87))) % 54.75/54.95 (define @t4867 () (not @t4857)) % 54.75/54.95 (define @t4868 () (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t2761 @t2457)) @t87))) % 54.75/54.95 (define @t4869 () (tptp.hAPP @t4854 @t2771)) % 54.75/54.95 (define @t4870 () (tptp.hAPP @t2760 tptp.c_fdisj)) % 54.75/54.95 (define @t4871 () (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t4870 @t87)) @t2599))) % 54.75/54.95 (define @t4872 () (@list @t87 @t14)) % 54.75/54.95 (define @t4873 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t14)) % 54.75/54.95 (define @t4874 () (tptp.hAPP @t4873 tptp.c_fNot)) % 54.75/54.95 (define @t4875 () (tptp.hAPP @t2760 tptp.c_fimplies)) % 54.75/54.95 (define @t4876 () (@list @t87 @t54 @t14)) % 54.75/54.95 (define @t4877 () (tptp.c_COMBK tptp.tc_HOL_Obool @t14)) % 54.75/54.95 (define @t4878 () (tptp.hAPP @t4877 tptp.c_fFalse)) % 54.75/54.95 (define @t4879 () (not @t1143)) % 54.75/54.95 (define @t4880 () (forall @t8 @t4879)) % 54.75/54.95 (define @t4881 () (tptp.hAPP @t2581 @t4855)) % 54.75/54.95 (define @t4882 () (tptp.hAPP @t4874 @t87)) % 54.75/54.95 (define @t4883 () (tptp.hAPP @t4854 @t4882)) % 54.75/54.95 (define @t4884 () (tptp.c_COMBB @t420 tptp.tc_HOL_Obool @t14)) % 54.75/54.95 (define @t4885 () (tptp.c_Set_OCollect @t420)) % 54.75/54.95 (define @t4886 () (tptp.hAPP @t4885 @t87)) % 54.75/54.95 (define @t4887 () (tptp.hAPP @t4710 @t4855)) % 54.75/54.95 (define @t4888 () (tptp.hAPP @t2764 @t4859)) % 54.75/54.95 (define @t4889 () (tptp.c_Set_OCollect @t2437)) % 54.75/54.95 (define @t4890 () (@list @t2599 @t87 @t420 @t14)) % 54.75/54.95 (define @t4891 () (tptp.hAPP @t3562 @t4885)) % 54.75/54.95 (define @t4892 () (tptp.hAPP @t4381 @t4855)) % 54.75/54.95 (define @t4893 () (tptp.hAPP @t4854 (tptp.hAPP @t4664 @t4500))) % 54.75/54.95 (define @t4894 () (tptp.tc_fun @t4074 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4895 () (tptp.hAPP (tptp.c_COMBB @t4074 @t4894 @t14) tptp.c_fequal)) % 54.75/54.95 (define @t4896 () (@list @t347 @t420 @t14)) % 54.75/54.95 (define @t4897 () (tptp.hAPP @t4643 @t2461)) % 54.75/54.95 (define @t4898 () (tptp.hAPP @t4663 (tptp.hAPP @t2761 @t3690))) % 54.75/54.95 (define @t4899 () (tptp.hAPP @t4444 @t4854)) % 54.75/54.95 (define @t4900 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 @t420)) % 54.75/54.95 (define @t4901 () (tptp.hAPP @t4900 tptp.c_fconj)) % 54.75/54.95 (define @t4902 () (tptp.c_COMBS @t420 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4903 () (tptp.hAPP @t4891 (tptp.hAPP (tptp.hAPP @t3562 (tptp.hAPP @t4902 (tptp.hAPP @t4901 (tptp.hAPP @t3745 @t4206)))) @t2461))) % 54.75/54.95 (define @t4904 () (tptp.hBOOL (tptp.hAPP @t3459 @t4206))) % 54.75/54.95 (define @t4905 () (tptp.hAPP @t2762 tptp.c_fNot)) % 54.75/54.95 (define @t4906 () (tptp.hAPP @t4467 @t3133)) % 54.75/54.95 (define @t4907 () (tptp.c_Map_Odom @t14 @t420 @t1)) % 54.75/54.95 (define @t4908 () (tptp.tc_fun @t4074 @t4074)) % 54.75/54.95 (define @t4909 () (tptp.tc_fun @t4291 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4910 () (tptp.hAPP @t4897 @t4)) % 54.75/54.95 (define @t4911 () (tptp.c_Set_OCollect @t2359)) % 54.75/54.95 (define @t4912 () (tptp.hAPP @t4911 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2359 @t2359 tptp.tc_HOL_Obool) @t2360) @t1314))) % 54.75/54.95 (define @t4913 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t14 @t420 @t2 @t1 @t1314) @t54)) % 54.75/54.95 (define @t4914 () (=> @t3632 (= @t4913 @t4621))) % 54.75/54.95 (define @t4915 () (@list @t1 @t2 @t420 @t1314 @t54 @t14)) % 54.75/54.95 (define @t4916 () (=> @t3670 (= @t4913 @t55))) % 54.75/54.95 (define @t4917 () (@list @t1 @t2 @t420 @t14)) % 54.75/54.95 (define @t4918 () (tptp.c_Set_OCollect tptp.tc_Int_Oint)) % 54.75/54.95 (define @t4919 () (tptp.hAPP @t4918 (tptp.hAPP @t2456 @t87))) % 54.75/54.95 (define @t4920 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 @t2359)) % 54.75/54.95 (define @t4921 () (tptp.tc_fun @t2359 @t2237)) % 54.75/54.95 (define @t4922 () (tptp.hAPP (tptp.c_COMBB @t4237 @t4921 @t2359) (tptp.hAPP @t4920 tptp.c_fconj))) % 54.75/54.95 (define @t4923 () (tptp.c_COMBS @t2359 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4924 () (tptp.hAPP (tptp.c_COMBB @t4921 @t4342 @t2359) @t4923)) % 54.75/54.95 (define @t4925 () (tptp.c_COMBC @t2359 @t4237 @t4237)) % 54.75/54.95 (define @t4926 () (tptp.tc_fun @t420 @t3959)) % 54.75/54.95 (define @t4927 () (tptp.tc_fun @t14 @t3959)) % 54.75/54.95 (define @t4928 () (tptp.tc_fun @t4174 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4929 () (tptp.tc_fun @t14 @t4928)) % 54.75/54.95 (define @t4930 () (tptp.c_Set_OCollect @t3790)) % 54.75/54.95 (define @t4931 () (tptp.hAPP (tptp.hAPP @t2765 (tptp.hAPP @t2764 @t4662)) @t4665)) % 54.75/54.95 (define @t4932 () (tptp.hAPP @t2241 (tptp.hAPP @t948 @t859))) % 54.75/54.95 (define @t4933 () (tptp.c_Set_OCollect @t2224)) % 54.75/54.95 (define @t4934 () (tptp.c_Int_Oint__ge__less__than @t859)) % 54.75/54.95 (define @t4935 () (@list @t859)) % 54.75/54.95 (define @t4936 () (tptp.c_Int_Oint__ge__less__than2 @t859)) % 54.75/54.95 (define @t4937 () (tptp.hAPP @t4930 (tptp.hAPP @t4195 @t2020))) % 54.75/54.95 (define @t4938 () (tptp.c_Predicate_Oreflp @t14 @t2020)) % 54.75/54.95 (define @t4939 () (tptp.hAPP @t2020 @t16)) % 54.75/54.95 (define @t4940 () (tptp.hAPP (tptp.c_COMBB @t2237 @t3293 @t14) @t4873)) % 54.75/54.95 (define @t4941 () (tptp.hAPP @t3568 (tptp.hAPP @t4940 @t4662))) % 54.75/54.95 (define @t4942 () (tptp.hAPP @t4941 @t4500)) % 54.75/54.95 (define @t4943 () (tptp.tc_fun @t2256 @t2359)) % 54.75/54.95 (define @t4944 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t4943 @t14) (tptp.c_COMBB @t14 tptp.tc_HOL_Obool @t14)) tptp.c_fequal)) % 54.75/54.95 (define @t4945 () (tptp.hAPP (tptp.c_COMBC @t14 @t2290 @t2361) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4943 (tptp.tc_fun @t2290 @t2361) @t14) (tptp.c_COMBB @t2256 @t2359 @t14)) @t4944))) % 54.75/54.95 (define @t4946 () (tptp.tc_fun @t14 @t4193)) % 54.75/54.95 (define @t4947 () (tptp.hAPP (tptp.c_COMBB @t2361 @t4946 @t14) @t4194)) % 54.75/54.95 (define @t4948 () (tptp.hAPP (tptp.c_COMBB @t4193 @t3293 @t14) @t4663)) % 54.75/54.95 (define @t4949 () (tptp.tc_fun @t14 @t3293)) % 54.75/54.95 (define @t4950 () (tptp.hAPP (tptp.c_COMBB @t4946 @t4949 @t14) @t4948)) % 54.75/54.95 (define @t4951 () (tptp.hAPP (tptp.c_COMBB @t4949 (tptp.tc_fun @t2361 @t2361) @t14) (tptp.c_COMBS @t14 @t2359 @t2359))) % 54.75/54.95 (define @t4952 () (tptp.c_COMBC @t14 @t2361 @t2361)) % 54.75/54.95 (define @t4953 () (tptp.c_HOL_OEx @t14)) % 54.75/54.95 (define @t4954 () (tptp.hAPP @t3593 @t4953)) % 54.75/54.95 (define @t4955 () (tptp.hAPP (tptp.c_COMBB @t2361 @t2359 @t14) @t4954)) % 54.75/54.95 (define @t4956 () (tptp.c_COMBC @t420 @t14 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4957 () (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t420)) % 54.75/54.95 (define @t4958 () (tptp.hAPP @t4957 @t4953)) % 54.75/54.95 (define @t4959 () (tptp.tc_fun @t1007 @t2359)) % 54.75/54.95 (define @t4960 () (tptp.hAPP (tptp.c_COMBB @t2706 @t3461 @t420) tptp.c_fequal)) % 54.75/54.95 (define @t4961 () (tptp.c_COMBC @t420 @t2706 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4962 () (tptp.c_COMBB @t2731 tptp.tc_HOL_Obool @t14)) % 54.75/54.95 (define @t4963 () (tptp.hAPP @t4962 (tptp.c_HOL_OEx @t420))) % 54.75/54.95 (define @t4964 () (tptp.c_COMBB @t4237 tptp.tc_HOL_Obool @t2359)) % 54.75/54.95 (define @t4965 () (tptp.hAPP @t329 @t349)) % 54.75/54.95 (define @t4966 () (tptp.hAPP (tptp.c_COMBC @t14 @t2256 @t2359) @t4944)) % 54.75/54.95 (define @t4967 () (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4948 (tptp.hAPP @t4194 (tptp.hAPP @t4966 @t4965)))) (tptp.hAPP @t3689 @t3396))))) % 54.75/54.95 (define @t4968 () (tptp.class_Groups_Olinordered__ab__semigroup__add @t14)) % 54.75/54.95 (define @t4969 () (@list @t349 @t3396 @t14)) % 54.75/54.95 (define @t4970 () (tptp.class_Lattices_Odistrib__lattice @t14)) % 54.75/54.95 (define @t4971 () (tptp.tc_fun @t579 @t579)) % 54.75/54.95 (define @t4972 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t2438 @t2438) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4971 (tptp.tc_fun @t2438 @t2438) @t14) (tptp.c_COMBB @t579 @t579 @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t579 @t4971 @t14) @t4581) @t2))) @t1)) % 54.75/54.95 (define @t4973 () (tptp.tc_fun @t2438 @t2731)) % 54.75/54.95 (define @t4974 () (tptp.tc_fun @t14 @t2438)) % 54.75/54.95 (define @t4975 () (tptp.tc_fun @t420 @t2237)) % 54.75/54.95 (define @t4976 () (tptp.tc_fun @t14 @t4975)) % 54.75/54.95 (define @t4977 () (tptp.tc_fun @t14 @t2763)) % 54.75/54.95 (define @t4978 () (tptp.c_Fun_Oid @t14)) % 54.75/54.95 (define @t4979 () (tptp.c_Fun_Oid @t420)) % 54.75/54.95 (define @t4980 () (tptp.c_Fun_Ocomp @t420 @t420 @t14 @t4979)) % 54.75/54.95 (define @t4981 () (@var "V_x_1" $$unsorted)) % 54.75/54.95 (define @t4982 () (tptp.c_Fun_Oid @t289)) % 54.75/54.95 (define @t4983 () (tptp.c_Fun_Oid @t2437)) % 54.75/54.95 (define @t4984 () (tptp.c_Set_Oimage @t14 @t14 @t4978)) % 54.75/54.95 (define @t4985 () (@list @t1467 @t2 @t14 @t420)) % 54.75/54.95 (define @t4986 () (tptp.tc_prod @t579 @t420)) % 54.75/54.95 (define @t4987 () (tptp.c_member @t4986)) % 54.75/54.95 (define @t4988 () (tptp.tc_fun @t4986 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4989 () (tptp.tc_fun @t4988 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4990 () (tptp.tc_fun @t579 @t4989)) % 54.75/54.95 (define @t4991 () (tptp.c_member @t4787)) % 54.75/54.95 (define @t4992 () (tptp.tc_fun @t4788 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t4993 () (tptp.tc_fun @t579 @t4992)) % 54.75/54.95 (define @t4994 () (tptp.tc_fun @t579 @t2237)) % 54.75/54.95 (define @t4995 () (tptp.c_Relation_Orel__comp @t14 @t579 @t420)) % 54.75/54.95 (define @t4996 () (tptp.hAPP (tptp.hAPP @t4995 @t2020) @t98)) % 54.75/54.95 (define @t4997 () (tptp.c_Relation_Orel__comp @t14 @t420 @t579)) % 54.75/54.95 (define @t4998 () (tptp.hAPP (tptp.hAPP @t4997 @t2020) @t98)) % 54.75/54.95 (define @t4999 () (tptp.c_Orderings_Oord__class_Oless__eq @t4788)) % 54.75/54.95 (define @t5000 () (tptp.c_Orderings_Oord__class_Oless__eq @t3733)) % 54.75/54.95 (define @t5001 () (tptp.hAPP @t4995 @t2461)) % 54.75/54.95 (define @t5002 () (@list @t2461 @t420 @t579 @t14)) % 54.75/54.95 (define @t5003 () (tptp.hAPP @t4995 @t98)) % 54.75/54.95 (define @t5004 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2443 @t3474) @t3330)) % 54.75/54.95 (define @t5005 () (tptp.c_Relation_Orel__comp @t14 @t14 @t14)) % 54.75/54.95 (define @t5006 () (tptp.hAPP @t5005 @t1314)) % 54.75/54.95 (define @t5007 () (= (tptp.hAPP @t5006 @t2575) @t3793)) % 54.75/54.95 (define @t5008 () (tptp.tc_fun @t3966 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5009 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t3966) (tptp.hAPP (tptp.hAPP @t3965 @t3514) @t3514)) (tptp.c_Orderings_Obot__class_Obot @t5008))) % 54.75/54.95 (define @t5010 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t5008)) % 54.75/54.95 (define @t5011 () (tptp.c_Relation_Orel__comp @t2359 @t2359 @t2359)) % 54.75/54.95 (define @t5012 () (tptp.c_Orderings_Oord__class_Oless__eq @t5008)) % 54.75/54.95 (define @t5013 () (tptp.hAPP @t5005 @t2461)) % 54.75/54.95 (define @t5014 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 (tptp.hAPP @t5013 @t3133)) @t2461))) % 54.75/54.95 (define @t5015 () (tptp.c_Wellfounded_Omin__ext @t14 @t2461)) % 54.75/54.95 (define @t5016 () (tptp.hAPP @t3682 @t2020)) % 54.75/54.95 (define @t5017 () (tptp.c_Wellfounded_Owf @t14 @t2461)) % 54.75/54.95 (define @t5018 () (tptp.c_Wellfounded_Owf @t14 @t2020)) % 54.75/54.95 (define @t5019 () (@list @t2 @t420 @t2020 @t14)) % 54.75/54.95 (define @t5020 () (@var "V_rb_2" $$unsorted)) % 54.75/54.95 (define @t5021 () (@var "V_ra_2" $$unsorted)) % 54.75/54.95 (define @t5022 () (tptp.hAPP @t5013 @t2461)) % 54.75/54.95 (define @t5023 () (tptp.hAPP @t4200 @t2461)) % 54.75/54.95 (define @t5024 () (tptp.hAPP @t5023 @t3133)) % 54.75/54.95 (define @t5025 () (tptp.c_Wellfounded_Owf @t14 @t5024)) % 54.75/54.95 (define @t5026 () (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5027 () (tptp.c_Set_OCollect @t2409)) % 54.75/54.95 (define @t5028 () (@list @t1601 @t2020 @t14)) % 54.75/54.95 (define @t5029 () (tptp.hAPP @t2020 @t94)) % 54.75/54.95 (define @t5030 () (@list @t4289 @t2020 @t14)) % 54.75/54.95 (define @t5031 () (tptp.hAPP @t4245 @t1231)) % 54.75/54.95 (define @t5032 () (tptp.c_Relation_OImage @t14 @t14 @t2461)) % 54.75/54.95 (define @t5033 () (tptp.c_Wellfounded_Owf @t14 @t3133)) % 54.75/54.95 (define @t5034 () (tptp.hAPP (tptp.c_Product__Type_Ofst @t3791 @t3791) @t87)) % 54.75/54.95 (define @t5035 () (tptp.hAPP (tptp.c_Product__Type_Osnd @t3791 @t3791) @t87)) % 54.75/54.95 (define @t5036 () (tptp.hAPP @t3792 @t3133)) % 54.75/54.95 (define @t5037 () (tptp.hAPP @t3792 @t2461)) % 54.75/54.95 (define @t5038 () (tptp.c_List_Olenlex @t14 @t2020)) % 54.75/54.95 (define @t5039 () (tptp.tc_List_Olist @t14)) % 54.75/54.95 (define @t5040 () (tptp.c_List_Olex @t14 @t2020)) % 54.75/54.95 (define @t5041 () (tptp.c_List_Olexn @t14 @t2020)) % 54.75/54.95 (define @t5042 () (tptp.tc_prod @t5039 @t5039)) % 54.75/54.95 (define @t5043 () (tptp.tc_fun @t5042 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5044 () (tptp.hAPP @t5041 @t102)) % 54.75/54.95 (define @t5045 () (@list @t102 @t2020 @t14)) % 54.75/54.95 (define @t5046 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t14 tptp.tc_HOL_Obool) @t87)) % 54.75/54.95 (define @t5047 () (tptp.c_Relation_ORange @t420 @t14)) % 54.75/54.95 (define @t5048 () (tptp.hAPP (tptp.c_Relation_ORange @t14 @t420) @t2020)) % 54.75/54.95 (define @t5049 () (@list @t2020 @t52 @t54 @t420 @t14)) % 54.75/54.95 (define @t5050 () (tptp.c_Relation_ORange @t14 @t14)) % 54.75/54.95 (define @t5051 () (tptp.c_Orderings_Obot__class_Obot @t4291)) % 54.75/54.95 (define @t5052 () (tptp.hAPP @t5047 @t2020)) % 54.75/54.95 (define @t5053 () (@list @t2020 @t14 @t420)) % 54.75/54.95 (define @t5054 () (tptp.hAPP @t5047 @t1467)) % 54.75/54.95 (define @t5055 () (tptp.hAPP @t5047 @t1314)) % 54.75/54.95 (define @t5056 () (tptp.hBOOL (tptp.hAPP @t3476 @t2020))) % 54.75/54.95 (define @t5057 () (@list @t2020 @t420 @t14)) % 54.75/54.95 (define @t5058 () (@list @t2020 @t420 @t54 @t14)) % 54.75/54.95 (define @t5059 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t4291)) % 54.75/54.95 (define @t5060 () (tptp.c_Predicate_ORangeP @t14 @t420 @t2020)) % 54.75/54.95 (define @t5061 () (@list @t420 @t14 @t52 @t54 @t2020)) % 54.75/54.95 (define @t5062 () (tptp.c_Relation_ODomain @t14 @t14)) % 54.75/54.95 (define @t5063 () (tptp.hAPP @t5062 @t2020)) % 54.75/54.95 (define @t5064 () (tptp.c_Wellfounded_OwfP @t14 @t2020)) % 54.75/54.95 (define @t5065 () (tptp.c_Relation_ODomain @t14 @t420)) % 54.75/54.95 (define @t5066 () (tptp.hAPP @t5065 @t2020)) % 54.75/54.95 (define @t5067 () (tptp.hBOOL (tptp.hAPP @t3631 @t5066))) % 54.75/54.95 (define @t5068 () (tptp.hBOOL (tptp.hAPP @t4759 @t98))) % 54.75/54.95 (define @t5069 () (@list @t98 @t2020 @t420 @t14)) % 54.75/54.95 (define @t5070 () (tptp.hAPP @t5065 @t1467)) % 54.75/54.95 (define @t5071 () (tptp.hAPP @t5065 @t1314)) % 54.75/54.95 (define @t5072 () (tptp.c_Set_Oimage @t2437 @t14 @t2551)) % 54.75/54.95 (define @t5073 () (@list @t2461 @t420 @t14)) % 54.75/54.95 (define @t5074 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 (tptp.hAPP @t2401 @t257)) @t2020))) % 54.75/54.95 (define @t5075 () (tptp.hAPP @t5050 @t2020)) % 54.75/54.95 (define @t5076 () (tptp.c_Predicate_ODomainP @t14 @t420 @t2020)) % 54.75/54.95 (define @t5077 () (tptp.c_New__Random__Sequence_Opos__single @t14)) % 54.75/54.95 (define @t5078 () (tptp.c_Wellfounded_Oacyclic @t14 @t2020)) % 54.75/54.95 (define @t5079 () (@list @t2020 @t98 @t14)) % 54.75/54.95 (define @t5080 () (@list @t2661 @t2662 @t2663 @t16 @t14)) % 54.75/54.95 (define @t5081 () (@list @t2728 @t288 @t289)) % 54.75/54.95 (define @t5082 () (tptp.c_New__Random__Sequence_Oneg__single @t14)) % 54.75/54.95 (define @t5083 () (tptp.hAPP @t3799 @t4)) % 54.75/54.95 (define @t5084 () (tptp.hBOOL (tptp.hAPP @t5083 @t2020))) % 54.75/54.95 (define @t5085 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4533 @t257) tptp.c_Int_OInteg))) % 54.75/54.95 (define @t5086 () (tptp.hAPP tptp.c_Int_OAbs__Integ @t257)) % 54.75/54.95 (define @t5087 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t14 @t176 @t4)) % 54.75/54.95 (define @t5088 () (tptp.hAPP (tptp.c_member @t3859) @t4)) % 54.75/54.95 (define @t5089 () (tptp.hAPP @t2020 @t567)) % 54.75/54.95 (define @t5090 () (tptp.hAPP @t2020 @t1231)) % 54.75/54.95 (define @t5091 () (tptp.hAPP @t3658 @t57)) % 54.75/54.95 (define @t5092 () (tptp.c_Hilbert__Choice_OEps @t14 @t87)) % 54.75/54.95 (define @t5093 () (@var "B_P" $$unsorted)) % 54.75/54.95 (define @t5094 () (tptp.hBOOL (tptp.hAPP @t87 @t5092))) % 54.75/54.95 (define @t5095 () (@list @t14 @t87)) % 54.75/54.95 (define @t5096 () (@list @t4223)) % 54.75/54.95 (define @t5097 () (tptp.c_Wellfounded_Oacc @t14 @t2461)) % 54.75/54.95 (define @t5098 () (tptp.hAPP @t3796 @t1456)) % 54.75/54.95 (define @t5099 () (@list @t2461 @t16 @t14)) % 54.75/54.95 (define @t5100 () (tptp.hAPP @t3796 @t257)) % 54.75/54.95 (define @t5101 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 54.75/54.95 (define @t5102 () (tptp.hAPP @t4140 (tptp.hAPP @t4309 @t102))) % 54.75/54.95 (define @t5103 () (tptp.c_Transitive__Closure_Otrancl @t14 @t2020)) % 54.75/54.95 (define @t5104 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t3800 @t5103))))) % 54.75/54.95 (define @t5105 () (tptp.hBOOL (tptp.hAPP @t4205 @t5103))) % 54.75/54.95 (define @t5106 () (tptp.hAPP @t3792 @t5103)) % 54.75/54.95 (define @t5107 () (tptp.hAPP @t3799 @t1601)) % 54.75/54.95 (define @t5108 () (tptp.hBOOL (tptp.hAPP @t5107 @t5103))) % 54.75/54.95 (define @t5109 () (tptp.hBOOL (tptp.hAPP @t5107 @t2020))) % 54.75/54.95 (define @t5110 () (@list @t2020 @t1601 @t14)) % 54.75/54.95 (define @t5111 () (tptp.hAPP @t3799 (tptp.hAPP @t3961 @t51))) % 54.75/54.95 (define @t5112 () (tptp.hBOOL (tptp.hAPP @t5111 @t5103))) % 54.75/54.95 (define @t5113 () (tptp.hAPP @t3796 @t52)) % 54.75/54.95 (define @t5114 () (tptp.hAPP @t3799 (tptp.hAPP @t5113 @t51))) % 54.75/54.95 (define @t5115 () (=> (tptp.hBOOL (tptp.hAPP @t5114 @t5103)) @t5112)) % 54.75/54.95 (define @t5116 () (@list @t51 @t2020 @t52 @t54 @t14)) % 54.75/54.95 (define @t5117 () (tptp.hBOOL (tptp.hAPP @t5114 @t2020))) % 54.75/54.95 (define @t5118 () (=> @t5117 @t5112)) % 54.75/54.95 (define @t5119 () (tptp.c_Transitive__Closure_Otrancl @t14 @t2461)) % 54.75/54.95 (define @t5120 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t2020)) % 54.75/54.95 (define @t5121 () (tptp.hAPP @t4200 @t5103)) % 54.75/54.95 (define @t5122 () (tptp.hAPP @t4515 @t16)) % 54.75/54.95 (define @t5123 () (tptp.hAPP (tptp.hAPP @t4189 @t5122) @t2020)) % 54.75/54.95 (define @t5124 () (@list @t2020 @t16 @t659 @t14)) % 54.75/54.95 (define @t5125 () (tptp.c_Relation_OId @t14)) % 54.75/54.95 (define @t5126 () (tptp.hAPP @t4201 @t5125)) % 54.75/54.95 (define @t5127 () (@list @t659 @t16 @t2020 @t14)) % 54.75/54.95 (define @t5128 () (tptp.hBOOL (tptp.hAPP @t4205 @t5120))) % 54.75/54.95 (define @t5129 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t2461)) % 54.75/54.95 (define @t5130 () (tptp.hAPP (tptp.hAPP @t5005 @t2020) @t5120)) % 54.75/54.95 (define @t5131 () (tptp.hAPP (tptp.hAPP @t5005 @t5120) @t2020)) % 54.75/54.95 (define @t5132 () (tptp.hAPP @t3792 @t5120)) % 54.75/54.95 (define @t5133 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t5024)) % 54.75/54.95 (define @t5134 () (tptp.hAPP @t3799 @t16)) % 54.75/54.95 (define @t5135 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t3133)) % 54.75/54.95 (define @t5136 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t98)) % 54.75/54.95 (define @t5137 () (tptp.hBOOL (tptp.hAPP @t5132 @t5136))) % 54.75/54.95 (define @t5138 () (tptp.hAPP @t4200 @t5129)) % 54.75/54.95 (define @t5139 () (tptp.hAPP @t5138 @t5135)) % 54.75/54.95 (define @t5140 () (tptp.hBOOL (tptp.hAPP @t5111 @t5120))) % 54.75/54.95 (define @t5141 () (tptp.hBOOL (tptp.hAPP @t5114 @t5120))) % 54.75/54.95 (define @t5142 () (=> @t5141 @t5140)) % 54.75/54.95 (define @t5143 () (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t3791) @t2020) @t5125)) % 54.75/54.95 (define @t5144 () (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t57))) % 54.75/54.95 (define @t5145 () (tptp.hBOOL (tptp.hAPP @t3815 @t5120))) % 54.75/54.95 (define @t5146 () (=> @t5141 @t5112)) % 54.75/54.95 (define @t5147 () (tptp.hBOOL (tptp.hAPP @t3815 @t5119))) % 54.75/54.95 (define @t5148 () (tptp.hBOOL (tptp.hAPP @t3815 @t5129))) % 54.75/54.95 (define @t5149 () (@list @t2461 @t659 @t16 @t14)) % 54.75/54.95 (define @t5150 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t5113 @t54)) @t5120))) % 54.75/54.95 (define @t5151 () (not @t5145)) % 54.75/54.95 (define @t5152 () (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t16))) % 54.75/54.95 (define @t5153 () (tptp.c_Relation_Oconverse @t14 @t14)) % 54.75/54.95 (define @t5154 () (tptp.hAPP @t5153 @t2020)) % 54.75/54.95 (define @t5155 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t5154)) % 54.75/54.95 (define @t5156 () (tptp.c_Relation_Oconverse @t420 @t14)) % 54.75/54.95 (define @t5157 () (tptp.hAPP @t5156 @t98)) % 54.75/54.95 (define @t5158 () (tptp.hAPP @t5156 @t2020)) % 54.75/54.95 (define @t5159 () (@list @t98 @t2020 @t14 @t420)) % 54.75/54.95 (define @t5160 () (tptp.hAPP (tptp.c_Relation_Oconverse @t14 @t420) @t2020)) % 54.75/54.95 (define @t5161 () (tptp.hAPP @t4295 (tptp.hAPP (tptp.hAPP @t2593 @t52) @t54))) % 54.75/54.95 (define @t5162 () (tptp.hBOOL (tptp.hAPP @t5161 @t2020))) % 54.75/54.95 (define @t5163 () (tptp.hBOOL (tptp.hAPP @t3660 @t5158))) % 54.75/54.95 (define @t5164 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4291 @t3474 @t579) @t5156) @t2020)) % 54.75/54.95 (define @t5165 () (@list @t2020 @t3133 @t579 @t14 @t420)) % 54.75/54.95 (define @t5166 () (tptp.hAPP (tptp.hAPP @t5005 @t5154) @t2020)) % 54.75/54.95 (define @t5167 () (= @t5166 @t2020)) % 54.75/54.95 (define @t5168 () (tptp.hAPP @t5065 @t5158)) % 54.75/54.95 (define @t5169 () (tptp.hAPP @t5153 @t5103)) % 54.75/54.95 (define @t5170 () (tptp.c_Transitive__Closure_Otrancl @t14 @t5154)) % 54.75/54.95 (define @t5171 () (tptp.c_Wellfounded_Owf @t14 @t5154)) % 54.75/54.95 (define @t5172 () (tptp.hBOOL (tptp.hAPP @t3815 @t5155))) % 54.75/54.95 (define @t5173 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 @t5122) @t5120))) % 54.75/54.95 (define @t5174 () (@list @t2020 @t659 @t16 @t14)) % 54.75/54.95 (define @t5175 () (tptp.hBOOL (tptp.hAPP @t3815 @t5170))) % 54.75/54.95 (define @t5176 () (tptp.hBOOL (tptp.hAPP @t3815 @t5169))) % 54.75/54.95 (define @t5177 () (tptp.tc_fun @t420 @t4909)) % 54.75/54.95 (define @t5178 () (tptp.c_Relation_Ototal__on @t14 @t1314 @t2020)) % 54.75/54.95 (define @t5179 () (tptp.c_Nat_Ocompow @t3790 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5180 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t3791) @t3349) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3791 @t3791) @t5179) @t2461))) % 54.75/54.95 (define @t5181 () (tptp.hBOOL (tptp.hAPP @t5107 @t5129))) % 54.75/54.95 (define @t5182 () (@list @t2461 @t1601 @t14)) % 54.75/54.95 (define @t5183 () (tptp.hAPP (tptp.hAPP @t5179 @t19) @t2461)) % 54.75/54.95 (define @t5184 () (tptp.hBOOL (tptp.hAPP @t5107 (tptp.hAPP (tptp.hAPP @t5179 @t176) @t2461)))) % 54.75/54.95 (define @t5185 () (tptp.hAPP (tptp.hAPP @t5179 @t102) @t2461)) % 54.75/54.95 (define @t5186 () (tptp.hAPP (tptp.hAPP @t5005 @t5185) @t2461)) % 54.75/54.95 (define @t5187 () (@list @t102 @t2461 @t14)) % 54.75/54.95 (define @t5188 () (tptp.hAPP (tptp.hAPP @t5179 @t436) @t2461)) % 54.75/54.95 (define @t5189 () (@list @t2461 @t102 @t14)) % 54.75/54.95 (define @t5190 () (tptp.c_Nat_Ocompow @t14 @t14)) % 54.75/54.95 (define @t5191 () (tptp.hAPP @t5190 @t102)) % 54.75/54.95 (define @t5192 () (tptp.hAPP @t5191 @t2)) % 54.75/54.95 (define @t5193 () (tptp.hAPP (tptp.hAPP @t5190 @t347) @t2)) % 54.75/54.95 (define @t5194 () (tptp.hBOOL (tptp.hAPP @t5144 @t5188))) % 54.75/54.95 (define @t5195 () (tptp.hAPP @t3799 (tptp.hAPP @t5100 @t57))) % 54.75/54.95 (define @t5196 () (not (tptp.hBOOL (tptp.hAPP @t5195 @t2461)))) % 54.75/54.95 (define @t5197 () (tptp.hAPP (tptp.hAPP @t5179 @t563) @t2461)) % 54.75/54.95 (define @t5198 () (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t257))) % 54.75/54.95 (define @t5199 () (@list @t257 @t563)) % 54.75/54.95 (define @t5200 () (=> @t376 (not @t4687))) % 54.75/54.95 (define @t5201 () (tptp.hBOOL (tptp.hAPP @t5144 @t5185))) % 54.75/54.95 (define @t5202 () (@list @t2461 @t102 @t57 @t16 @t14)) % 54.75/54.95 (define @t5203 () (tptp.hBOOL (tptp.hAPP @t5198 @t2461))) % 54.75/54.95 (define @t5204 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t87)) % 54.75/54.95 (define @t5205 () (tptp.hBOOL (tptp.hAPP @t4205 @t5204))) % 54.75/54.95 (define @t5206 () (tptp.hAPP @t3799 (tptp.hAPP @t5100 @t4))) % 54.75/54.95 (define @t5207 () (tptp.hBOOL (tptp.hAPP @t4205 (tptp.c_Transitive__Closure_Ortrancl @t14 (tptp.hAPP (tptp.hAPP @t4200 @t87) @t2599))))) % 54.75/54.95 (define @t5208 () (@list @t2599 @t87 @t52 @t54 @t14)) % 54.75/54.95 (define @t5209 () (tptp.c_Relation_Osingle__valued @t14 @t420 @t2020)) % 54.75/54.95 (define @t5210 () (tptp.hAPP @t4784 @t1456)) % 54.75/54.95 (define @t5211 () (tptp.hBOOL (tptp.hAPP @t5195 @t5185))) % 54.75/54.95 (define @t5212 () (tptp.hAPP @t3799 (tptp.hAPP @t5098 @t659))) % 54.75/54.95 (define @t5213 () (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t1456))) % 54.75/54.95 (define @t5214 () (tptp.c_Finite__Set_Ofold @t14 @t14 @t2630)) % 54.75/54.95 (define @t5215 () (tptp.hAPP (tptp.hAPP @t5214 @t16) @t1314)) % 54.75/54.95 (define @t5216 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t420 @t14 @t2) @t57)) % 54.75/54.95 (define @t5217 () (tptp.c_Finite__Set_Ofold @t14 @t420 @t2)) % 54.75/54.95 (define @t5218 () (tptp.c_Finite__Set_Ofold @t14 @t14 @t3185)) % 54.75/54.95 (define @t5219 () (tptp.hAPP @t5218 @t52)) % 54.75/54.95 (define @t5220 () (tptp.hAPP @t5219 @t1314)) % 54.75/54.95 (define @t5221 () (@list @t54 @t52 @t1314 @t14)) % 54.75/54.95 (define @t5222 () (tptp.c_Finite__Set_Ofold @t14 @t14 @t4392)) % 54.75/54.95 (define @t5223 () (tptp.hAPP @t5222 @t52)) % 54.75/54.95 (define @t5224 () (tptp.hAPP @t5223 @t1314)) % 54.75/54.95 (define @t5225 () (tptp.c_Finite__Set_Ofold @t14 @t14 @t2506)) % 54.75/54.95 (define @t5226 () (tptp.hAPP @t5225 @t52)) % 54.75/54.95 (define @t5227 () (tptp.hAPP @t5226 @t1314)) % 54.75/54.95 (define @t5228 () (tptp.hAPP @t5214 @t52)) % 54.75/54.95 (define @t5229 () (tptp.hAPP @t5228 @t1314)) % 54.75/54.95 (define @t5230 () (tptp.hAPP @t5217 @t57)) % 54.75/54.95 (define @t5231 () (tptp.hAPP @t5230 @t1314)) % 54.75/54.95 (define @t5232 () (tptp.hAPP @t615 @t5231)) % 54.75/54.95 (define @t5233 () (tptp.hAPP @t5230 @t3404)) % 54.75/54.95 (define @t5234 () (= @t5233 @t5232)) % 54.75/54.95 (define @t5235 () (@list @t16 @t57 @t1314 @t2 @t420 @t14)) % 54.75/54.95 (define @t5236 () (tptp.hAPP (tptp.hAPP @t5217 @t4840) @t1314)) % 54.75/54.95 (define @t5237 () (= @t5233 @t5236)) % 54.75/54.95 (define @t5238 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t420)) % 54.75/54.95 (define @t5239 () (tptp.c_Finite__Set_Ofold @t14 @t420 (tptp.hAPP (tptp.hAPP @t3433 @t5238) @t2))) % 54.75/54.95 (define @t5240 () (tptp.c_Finite__Set_Ofold @t14 @t14 @t2)) % 54.75/54.95 (define @t5241 () (tptp.hAPP @t4541 @t52)) % 54.75/54.95 (define @t5242 () (@list @t52 @t54 @t1314 @t14)) % 54.75/54.95 (define @t5243 () (tptp.hAPP @t4479 @t52)) % 54.75/54.95 (define @t5244 () (= (tptp.hAPP @t4817 @t3455) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t14 @t14 @t761) @t54) @t1314))) % 54.75/54.95 (define @t5245 () (tptp.hAPP (tptp.hAPP @t5225 @t54) @t1314)) % 54.75/54.95 (define @t5246 () (tptp.hAPP (tptp.hAPP @t5214 @t54) @t1314)) % 54.75/54.95 (define @t5247 () (tptp.hAPP (tptp.hAPP @t5225 @t16) @t1314)) % 54.75/54.95 (define @t5248 () (tptp.hAPP @t615 (tptp.hAPP @t5230 @t3585))) % 54.75/54.95 (define @t5249 () (tptp.c_Finite__Set_Ofun__left__comm @t14 @t420 @t2)) % 54.75/54.95 (define @t5250 () (@list @t57 @t16 @t1314 @t2 @t420 @t14)) % 54.75/54.95 (define @t5251 () (@var "B_y_H" $$unsorted)) % 54.75/54.95 (define @t5252 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t420)) % 54.75/54.95 (define @t5253 () (tptp.c_Finite__Set_Ofold @t14 @t420 (tptp.hAPP (tptp.hAPP @t3433 @t5252) @t2))) % 54.75/54.95 (define @t5254 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 @t420)) % 54.75/54.95 (define @t5255 () (tptp.hAPP @t5254 @t1314)) % 54.75/54.95 (define @t5256 () (tptp.hAPP @t5255 @t2)) % 54.75/54.95 (define @t5257 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 @t2731)) % 54.75/54.95 (define @t5258 () (tptp.hAPP @t5257 @t1314)) % 54.75/54.95 (define @t5259 () (tptp.hAPP @t5258 @t1467)) % 54.75/54.95 (define @t5260 () (tptp.hBOOL (tptp.hAPP @t5259 @t52))) % 54.75/54.95 (define @t5261 () (@list @t54 @t52 @t1467 @t1314 @t420 @t14)) % 54.75/54.95 (define @t5262 () (tptp.hBOOL (tptp.hAPP @t4518 @t1314))) % 54.75/54.95 (define @t5263 () (tptp.hBOOL (tptp.hAPP @t3642 @t3427))) % 54.75/54.95 (define @t5264 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t420 @t2359)) % 54.75/54.95 (define @t5265 () (tptp.hAPP @t5264 @t1314)) % 54.75/54.95 (define @t5266 () (tptp.hAPP @t5265 @t1467)) % 54.75/54.95 (define @t5267 () (tptp.hBOOL (tptp.hAPP @t3642 @t5266))) % 54.75/54.95 (define @t5268 () (@list @t54 @t1467 @t1314 @t420 @t52 @t14)) % 54.75/54.95 (define @t5269 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 @t3626)) % 54.75/54.95 (define @t5270 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5269 @t1314) @t1467) @t52) @t51))) % 54.75/54.95 (define @t5271 () (@list @t54 @t51 @t52 @t1467 @t1314 @t579 @t420 @t14)) % 54.75/54.95 (define @t5272 () (tptp.hAPP (tptp.hAPP @t5257 @t3330) @t1314)) % 54.75/54.95 (define @t5273 () (tptp.hAPP (tptp.hAPP @t4444 @t2581) @t1467)) % 54.75/54.95 (define @t5274 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t579 @t2359)) % 54.75/54.95 (define @t5275 () (tptp.hAPP @t5274 @t1314)) % 54.75/54.95 (define @t5276 () (tptp.hAPP @t3290 (tptp.hAPP (tptp.hAPP @t4444 @t2571) @t1467))) % 54.75/54.95 (define @t5277 () (tptp.hAPP @t5264 @t2575)) % 54.75/54.95 (define @t5278 () (tptp.hAPP @t5277 @t1467)) % 54.75/54.95 (define @t5279 () (tptp.hAPP @t2571 @t5278)) % 54.75/54.95 (define @t5280 () (tptp.hAPP @t3562 (tptp.hAPP @t4902 (tptp.hAPP (tptp.hAPP @t4900 tptp.c_fimplies) (tptp.hAPP @t3745 @t1314))))) % 54.75/54.95 (define @t5281 () (tptp.hAPP @t4962 (tptp.c_HOL_OAll @t420))) % 54.75/54.95 (define @t5282 () (tptp.hAPP @t5257 @t2575)) % 54.75/54.95 (define @t5283 () (tptp.hAPP @t5282 (tptp.hAPP (tptp.hAPP @t2765 @t4755) @t1467))) % 54.75/54.95 (define @t5284 () (tptp.hAPP @t5282 @t1314)) % 54.75/54.95 (define @t5285 () (tptp.hAPP (tptp.hAPP @t4467 @t5284) @t1467)) % 54.75/54.95 (define @t5286 () (tptp.hAPP @t5282 (tptp.hAPP (tptp.hAPP @t3562 @t4468) @t1467))) % 54.75/54.95 (define @t5287 () (tptp.hAPP @t4468 (tptp.hAPP @t5282 @t1467))) % 54.75/54.95 (define @t5288 () (tptp.hAPP @t5258 @t3535)) % 54.75/54.95 (define @t5289 () (tptp.hAPP @t5275 @t4268)) % 54.75/54.95 (define @t5290 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t579 @t2731) @t1314)) % 54.75/54.95 (define @t5291 () (tptp.hAPP @t5290 @t1467)) % 54.75/54.95 (define @t5292 () (tptp.hAPP @t4267 @t5291)) % 54.75/54.95 (define @t5293 () (tptp.hAPP @t1025 @t1572)) % 54.75/54.95 (define @t5294 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t420 @t14)) % 54.75/54.95 (define @t5295 () (tptp.hAPP @t5294 @t1314)) % 54.75/54.95 (define @t5296 () (tptp.hAPP @t5264 @t3330)) % 54.75/54.95 (define @t5297 () (tptp.hAPP @t5296 @t1314)) % 54.75/54.95 (define @t5298 () (tptp.hAPP @t3393 @t5278)) % 54.75/54.95 (define @t5299 () (tptp.hAPP @t5277 (tptp.hAPP (tptp.hAPP @t4444 @t3393) @t1467))) % 54.75/54.95 (define @t5300 () (tptp.hAPP (tptp.hAPP @t3346 @t4447) @t1467)) % 54.75/54.95 (define @t5301 () (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t579 @t14) @t1467)) % 54.75/54.95 (define @t5302 () (tptp.hAPP @t5257 @t3353)) % 54.75/54.95 (define @t5303 () (forall @t8 (=> @t3307 (= @t3269 @t3353)))) % 54.75/54.95 (define @t5304 () (tptp.hAPP @t5274 @t4454)) % 54.75/54.95 (define @t5305 () (tptp.hAPP @t5277 (tptp.hAPP (tptp.hAPP @t3295 @t3345) @t1467))) % 54.75/54.95 (define @t5306 () (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP @t5277 @t1314)) @t1467)) % 54.75/54.95 (define @t5307 () (tptp.hAPP @t5277 (tptp.hAPP (tptp.hAPP @t4444 @t3158) @t1467))) % 54.75/54.95 (define @t5308 () (tptp.hAPP @t3158 @t5278)) % 54.75/54.95 (define @t5309 () (tptp.hAPP (tptp.hAPP @t3074 @t5284) @t1467)) % 54.75/54.95 (define @t5310 () (tptp.hAPP @t5282 (tptp.hAPP (tptp.hAPP @t2765 @t4719) @t1467))) % 54.75/54.95 (define @t5311 () (tptp.hAPP @t5282 (tptp.hAPP (tptp.hAPP @t3562 @t3075) @t1467))) % 54.75/54.95 (define @t5312 () (tptp.hAPP @t3075 @t3560)) % 54.75/54.95 (define @t5313 () (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t1314)) % 54.75/54.95 (define @t5314 () (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t1314)) % 54.75/54.95 (define @t5315 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t2575)) % 54.75/54.95 (define @t5316 () (tptp.hAPP @t3085 @t1314)) % 54.75/54.95 (define @t5317 () (tptp.hBOOL (tptp.hAPP @t5316 @t5315))) % 54.75/54.95 (define @t5318 () (tptp.hBOOL (tptp.hAPP @t5316 @t89))) % 54.75/54.95 (define @t5319 () (tptp.hBOOL (tptp.hAPP @t4354 @t2575))) % 54.75/54.95 (define @t5320 () (tptp.hBOOL (tptp.hAPP @t5316 (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t2575)))) % 54.75/54.95 (define @t5321 () (tptp.c_Set_Oimage @t420 @t2359 @t1467)) % 54.75/54.95 (define @t5322 () (tptp.hAPP @t5321 @t1314)) % 54.75/54.95 (define @t5323 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5322)) % 54.75/54.95 (define @t5324 () (@list @t1314 @t1467 @t420 @t14)) % 54.75/54.95 (define @t5325 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2731 @t1314)) % 54.75/54.95 (define @t5326 () (tptp.hAPP (tptp.hAPP @t5264 @t5325) @t1467)) % 54.75/54.95 (define @t5327 () (tptp.c_COMBC @t2731 @t3321 @t2359)) % 54.75/54.95 (define @t5328 () (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2731 @t2359) @t1314) (tptp.hAPP (tptp.hAPP @t5327 @t5264) @t1467))) % 54.75/54.95 (define @t5329 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t2359 @t2359)) % 54.75/54.95 (define @t5330 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t1467)) % 54.75/54.95 (define @t5331 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t1314)) % 54.75/54.95 (define @t5332 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t1467)) % 54.75/54.95 (define @t5333 () (tptp.hAPP (tptp.hAPP @t4241 @t54) @t1467)) % 54.75/54.95 (define @t5334 () (tptp.hAPP @t2360 @t5331)) % 54.75/54.95 (define @t5335 () (tptp.hBOOL (tptp.hAPP @t5334 @t1467))) % 54.75/54.95 (define @t5336 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t1467) @t1314))) % 54.75/54.95 (define @t5337 () (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP @t4832 @t52))))) % 54.75/54.95 (define @t5338 () (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP @t1068 @t4))))) % 54.75/54.95 (define @t5339 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t1314)) % 54.75/54.95 (define @t5340 () (tptp.hAPP @t4242 @t1314)) % 54.75/54.95 (define @t5341 () (tptp.hAPP @t4380 @t4)) % 54.75/54.95 (define @t5342 () (@list @t1314 @t2575 @t14)) % 54.75/54.95 (define @t5343 () (tptp.hBOOL (tptp.hAPP @t4248 @t1314))) % 54.75/54.95 (define @t5344 () (tptp.hBOOL (tptp.hAPP @t3387 @t5339))) % 54.75/54.95 (define @t5345 () (tptp.hAPP @t4341 (tptp.hAPP @t4663 (tptp.hAPP @t4875 @t4252)))) % 54.75/54.95 (define @t5346 () (tptp.hAPP @t3593 (tptp.c_HOL_OAll @t14))) % 54.75/54.95 (define @t5347 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2731 @t2359)) % 54.75/54.95 (define @t5348 () (tptp.hAPP @t5347 @t1314)) % 54.75/54.95 (define @t5349 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2359 @t2359)) % 54.75/54.95 (define @t5350 () (tptp.hAPP @t5349 @t1467)) % 54.75/54.95 (define @t5351 () (tptp.hAPP @t5348 (tptp.hAPP (tptp.hAPP @t5327 @t3289) @t1467))) % 54.75/54.95 (define @t5352 () (tptp.hAPP (tptp.hAPP @t3289 @t5325) @t1467)) % 54.75/54.95 (define @t5353 () (tptp.hAPP (tptp.hAPP @t4238 @t1314) @t1467)) % 54.75/54.95 (define @t5354 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5322)) % 54.75/54.95 (define @t5355 () (tptp.hAPP @t5321 @t2575)) % 54.75/54.95 (define @t5356 () (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2359 @t1314) @t2575)) % 54.75/54.95 (define @t5357 () (tptp.hAPP (tptp.hAPP @t4241 @t1314) (tptp.hAPP (tptp.hAPP @t4241 @t1467) @t4240))) % 54.75/54.95 (define @t5358 () (tptp.hAPP (tptp.hAPP @t4442 @t1314) @t1467)) % 54.75/54.95 (define @t5359 () (@var "B_c2" $$unsorted)) % 54.75/54.95 (define @t5360 () (@var "B_c1" $$unsorted)) % 54.75/54.95 (define @t5361 () (@var "B_c" $$unsorted)) % 54.75/54.95 (define @t5362 () (tptp.c_COMBI @t2359)) % 54.75/54.95 (define @t5363 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t3133)) % 54.75/54.95 (define @t5364 () (@var "B_M" $$unsorted)) % 54.75/54.95 (define @t5365 () (tptp.hAPP (tptp.hAPP @t4241 @t16) @t3423)) % 54.75/54.95 (define @t5366 () (@var "B_X" $$unsorted)) % 54.75/54.95 (define @t5367 () (tptp.hAPP @t4234 @t5366)) % 54.75/54.95 (define @t5368 () (@list @t5366)) % 54.75/54.95 (define @t5369 () (@list @t51 @t52 @t1314 @t14)) % 54.75/54.95 (define @t5370 () (tptp.hBOOL (tptp.hAPP @t5316 @t5366))) % 54.75/54.95 (define @t5371 () (tptp.hBOOL (tptp.hAPP @t5367 @t2575))) % 54.75/54.95 (define @t5372 () (@var "B_Q" $$unsorted)) % 54.75/54.95 (define @t5373 () (tptp.hBOOL (tptp.hAPP @t3086 @t5372))) % 54.75/54.95 (define @t5374 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t14 @t420 @t2 @t57 @t1 @t3423)) % 54.75/54.95 (define @t5375 () (@var "V_P_H_2" $$unsorted)) % 54.75/54.95 (define @t5376 () (@var "V_u1_2" $$unsorted)) % 54.75/54.95 (define @t5377 () (tptp.hAPP @t421 @t5376)) % 54.75/54.95 (define @t5378 () (@var "V_e2_2" $$unsorted)) % 54.75/54.95 (define @t5379 () (@var "V_e1_2" $$unsorted)) % 54.75/54.95 (define @t5380 () (tptp.hAPP @t3085 @t347)) % 54.75/54.95 (define @t5381 () (@var "V_yx_2" $$unsorted)) % 54.75/54.95 (define @t5382 () (tptp.hAPP @t347 @t349)) % 54.75/54.95 (define @t5383 () (tptp.hAPP @t102 @t349)) % 54.75/54.95 (define @t5384 () (= @t5383 @t285)) % 54.75/54.95 (define @t5385 () (or (= @t5383 @t3596) (and @t5384 (= @t5382 @t3596)))) % 54.75/54.95 (define @t5386 () (tptp.hAPP (tptp.c_Map_Omap__add @t420 @t14 @t347 @t102) @t349)) % 54.75/54.95 (define @t5387 () (= @t5386 @t3596)) % 54.75/54.95 (define @t5388 () (@list @t16 @t349 @t102 @t347 @t14 @t420)) % 54.75/54.95 (define @t5389 () (@var "V_l2_2" $$unsorted)) % 54.75/54.95 (define @t5390 () (@var "V_l1_2" $$unsorted)) % 54.75/54.95 (define @t5391 () (tptp.hAPP (tptp.c_Map_Omap__add @t14 @t420 @t5390 @t5389) @t347)) % 54.75/54.95 (define @t5392 () (= @t5391 (tptp.hAPP @t5389 @t347))) % 54.75/54.95 (define @t5393 () (tptp.hBOOL (tptp.hAPP @t5380 (tptp.c_Map_Odom @t14 @t420 @t5389)))) % 54.75/54.95 (define @t5394 () (@list @t5390 @t5389 @t420 @t347 @t14)) % 54.75/54.95 (define @t5395 () (@var "V_xx_2" $$unsorted)) % 54.75/54.95 (define @t5396 () (tptp.hAPP @t292 @t5395)) % 54.75/54.95 (define @t5397 () (@var "V_m3_2" $$unsorted)) % 54.75/54.95 (define @t5398 () (@var "V_m2_2" $$unsorted)) % 54.75/54.95 (define @t5399 () (@var "V_m1_2" $$unsorted)) % 54.75/54.95 (define @t5400 () (tptp.c_Map_Omap__add @t14 @t420 @t5399 @t5398)) % 54.75/54.95 (define @t5401 () (@var "V_m_H_2" $$unsorted)) % 54.75/54.95 (define @t5402 () (tptp.c_Map_Odom @t14 @t420 @t5401)) % 54.75/54.95 (define @t5403 () (@var "V_xz_2" $$unsorted)) % 54.75/54.95 (define @t5404 () (tptp.c_Map_Omap__of @t14 @t420 @t1525)) % 54.75/54.95 (define @t5405 () (@var "V_xys_2" $$unsorted)) % 54.75/54.95 (define @t5406 () (tptp.c_Map_Omap__of @t420 @t14 @t5405)) % 54.75/54.95 (define @t5407 () (@list @t5405 @t420 @t14)) % 54.75/54.95 (define @t5408 () (@var "V_ps_2" $$unsorted)) % 54.75/54.95 (define @t5409 () (tptp.tc_fun @t14 @t4074)) % 54.75/54.95 (define @t5410 () (tptp.tc_fun @t4074 @t5409)) % 54.75/54.95 (define @t5411 () (tptp.tc_fun @t5409 @t5409)) % 54.75/54.95 (define @t5412 () (tptp.tc_fun @t4074 @t5411)) % 54.75/54.95 (define @t5413 () (tptp.tc_fun @t420 @t5411)) % 54.75/54.95 (define @t5414 () (tptp.tc_fun @t420 @t4074)) % 54.75/54.95 (define @t5415 () (tptp.c_Map_Omap__of @t14 @t420 @t5408)) % 54.75/54.95 (define @t5416 () (tptp.hAPP tptp.c_Code__Numeral_Oint__of @t859)) % 54.75/54.95 (define @t5417 () (tptp.hAPP @t726 @t5416)) % 54.75/54.95 (define @t5418 () (@list @t859 @t2)) % 54.75/54.95 (define @t5419 () (tptp.tc_List_Olist tptp.tc_Code__Evaluation_Oterm)) % 54.75/54.95 (define @t5420 () (tptp.tc_Option_Ooption @t5419)) % 54.75/54.95 (define @t5421 () (tptp.c_Smallcheck_Osmall_H @t2 @t859 @t434)) % 54.75/54.95 (define @t5422 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t859) @t434))) % 54.75/54.95 (define @t5423 () (tptp.c_Option_Ooption_ONone @t5419)) % 54.75/54.95 (define @t5424 () (and (=> @t5422 (= @t5421 @t5423)) (=> (not @t5422) (= @t5421 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5420 @t5419 (tptp.c_Smallcheck_Osmall_H @t2 @t859 @t3598) (tptp.c_Option_Ooption_OSome @t5419)) @t4009))))) % 54.75/54.95 (define @t5425 () (tptp.tc_fun tptp.tc_Int_Oint @t5420)) % 54.75/54.95 (define @t5426 () (tptp.c_Product__Type_OPair @t5425 @t2224)) % 54.75/54.95 (define @t5427 () (tptp.c_Wellfounded_Oaccp (tptp.tc_prod @t5425 @t2224) tptp.c_Smallcheck_Osmall_H__rel)) % 54.75/54.95 (define @t5428 () (tptp.tc_fun @t420 @t5420)) % 54.75/54.95 (define @t5429 () (tptp.hAPP (tptp.hAPP @t87 @t4245) @t1561)) % 54.75/54.95 (define @t5430 () (tptp.c_Map_Omap__of tptp.tc_Com_Opname tptp.tc_Com_Ocom tptp.c_Com_Obodies)) % 54.75/54.95 (define @t5431 () (tptp.c_Option_Ooption_OSome @t579)) % 54.75/54.95 (define @t5432 () (tptp.hAPP @t5431 @t16)) % 54.75/54.95 (define @t5433 () (tptp.tc_fun @t5039 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5434 () (tptp.c_Orderings_Otop__class_Otop @t5433)) % 54.75/54.95 (define @t5435 () (tptp.c_List_Omap @t14 @t420)) % 54.75/54.95 (define @t5436 () (tptp.hAPP @t5435 @t2)) % 54.75/54.95 (define @t5437 () (tptp.tc_List_Olist @t420)) % 54.75/54.95 (define @t5438 () (tptp.c_Fun_Oinj__on @t5039 @t5437 @t5436 @t5434)) % 54.75/54.95 (define @t5439 () (@var "V_k_H_2" $$unsorted)) % 54.75/54.95 (define @t5440 () (tptp.c_Map_Omap__comp @t14 @t579 @t420 @t5399 @t5398 @t349)) % 54.75/54.95 (define @t5441 () (tptp.hAPP @t5398 @t349)) % 54.75/54.95 (define @t5442 () (tptp.hAPP @t292 @t1671)) % 54.75/54.95 (define @t5443 () (@var "B_k_H" $$unsorted)) % 54.75/54.95 (define @t5444 () (tptp.hAPP @t5399 @t5443)) % 54.75/54.95 (define @t5445 () (= @t5441 (tptp.hAPP @t421 @t5443))) % 54.75/54.95 (define @t5446 () (@list @t5443)) % 54.75/54.95 (define @t5447 () (tptp.c_Map_Omap__comp @t420 @t14 @t579 @t5399 @t5398 @t349)) % 54.75/54.95 (define @t5448 () (tptp.c_Fun_Oid @t5039)) % 54.75/54.95 (define @t5449 () (tptp.c_List_Omap @t14 @t14)) % 54.75/54.95 (define @t5450 () (tptp.hAPP @t5449 @t2207)) % 54.75/54.95 (define @t5451 () (@var "V_xs_2" $$unsorted)) % 54.75/54.95 (define @t5452 () (@list @t5451 @t14)) % 54.75/54.95 (define @t5453 () (@var "V_ys_2" $$unsorted)) % 54.75/54.95 (define @t5454 () (= @t5451 @t5453)) % 54.75/54.95 (define @t5455 () (tptp.c_List_Omap @t420 @t14)) % 54.75/54.95 (define @t5456 () (tptp.hAPP @t5455 @t2)) % 54.75/54.95 (define @t5457 () (tptp.hAPP @t5456 @t5453)) % 54.75/54.95 (define @t5458 () (tptp.hAPP @t5456 @t5451)) % 54.75/54.95 (define @t5459 () (= @t5458 @t5457)) % 54.75/54.95 (define @t5460 () (@list @t5453 @t5451 @t2 @t14 @t420)) % 54.75/54.95 (define @t5461 () (tptp.hAPP @t5436 @t5453)) % 54.75/54.95 (define @t5462 () (tptp.hAPP @t5436 @t5451)) % 54.75/54.95 (define @t5463 () (= (= @t5462 @t5461) @t5454)) % 54.75/54.95 (define @t5464 () (@list @t5453 @t5451 @t2 @t420 @t14)) % 54.75/54.95 (define @t5465 () (tptp.c_List_Omap @t579 @t420)) % 54.75/54.95 (define @t5466 () (tptp.hAPP @t5465 @t2)) % 54.75/54.95 (define @t5467 () (tptp.tc_List_Olist @t579)) % 54.75/54.95 (define @t5468 () (@list @t1 @t2 @t14 @t420 @t579)) % 54.75/54.95 (define @t5469 () (@var "V_list_2" $$unsorted)) % 54.75/54.95 (define @t5470 () (tptp.c_List_Omap @t579 @t14)) % 54.75/54.95 (define @t5471 () (tptp.hAPP @t5470 @t4269)) % 54.75/54.95 (define @t5472 () (tptp.hAPP @t5465 @t1)) % 54.75/54.95 (define @t5473 () (tptp.hAPP @t5466 @t5451)) % 54.75/54.95 (define @t5474 () (@list @t16 @t347 @t579 @t14 @t420)) % 54.75/54.95 (define @t5475 () (tptp.hAPP (tptp.c_COMBK @t4074 @t579) @t425)) % 54.75/54.95 (define @t5476 () (tptp.c_Option_Omap @t579 @t420)) % 54.75/54.95 (define @t5477 () (tptp.hAPP @t5476 @t2)) % 54.75/54.95 (define @t5478 () (tptp.tc_Option_Ooption @t579)) % 54.75/54.95 (define @t5479 () (tptp.c_Fun_Ocomp @t5478 @t4074 @t14 @t5477)) % 54.75/54.95 (define @t5480 () (tptp.tc_fun @t579 @t2437)) % 54.75/54.95 (define @t5481 () (tptp.hAPP (tptp.c_List_Omap @t4787 @t2437) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t579 @t2437) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4585 @t5480) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 (tptp.tc_fun @t4585 @t5480) @t14) (tptp.c_COMBB @t420 @t2437 @t579)) @t2400)) @t2)))) % 54.75/54.95 (define @t5482 () (tptp.hAPP (tptp.c_COMBS @t14 @t420 @t2437) @t2400)) % 54.75/54.95 (define @t5483 () (tptp.c_List_Omap @t14 @t2437)) % 54.75/54.95 (define @t5484 () (tptp.c_List_Oset @t14)) % 54.75/54.95 (define @t5485 () (tptp.hAPP @t5484 @t5451)) % 54.75/54.95 (define @t5486 () (tptp.c_List_Oset @t420)) % 54.75/54.95 (define @t5487 () (tptp.hAPP @t5486 @t5451)) % 54.75/54.95 (define @t5488 () (tptp.hAPP @t3055 @t5487)) % 54.75/54.95 (define @t5489 () (@list @t5451 @t2 @t420 @t14)) % 54.75/54.95 (define @t5490 () (tptp.hAPP (tptp.hAPP @t5455 @t1) @t5451)) % 54.75/54.95 (define @t5491 () (@var "V_opt_2" $$unsorted)) % 54.75/54.95 (define @t5492 () (tptp.hAPP (tptp.c_Option_Omap @t579 @t14) @t4269)) % 54.75/54.95 (define @t5493 () (tptp.hAPP @t5476 @t1)) % 54.75/54.95 (define @t5494 () (tptp.hAPP (tptp.c_Option_Omap @t420 @t14) @t2)) % 54.75/54.95 (define @t5495 () (@var "V_option_2" $$unsorted)) % 54.75/54.95 (define @t5496 () (tptp.c_Option_Omap @t14 @t420)) % 54.75/54.95 (define @t5497 () (tptp.hAPP (tptp.c_Option_Omap @t2443 @t579) @t2)) % 54.75/54.95 (define @t5498 () (tptp.tc_Option_Ooption @t2443)) % 54.75/54.95 (define @t5499 () (tptp.c_Finite__Set_Ofinite @t5039)) % 54.75/54.95 (define @t5500 () (tptp.c_Fun_Oid @t2706)) % 54.75/54.95 (define @t5501 () (tptp.c_Option_Omap @t14 @t14)) % 54.75/54.95 (define @t5502 () (@list @t16 @t2 @t14 @t420)) % 54.75/54.95 (define @t5503 () (tptp.hAPP @t5484 @t5453)) % 54.75/54.95 (define @t5504 () (tptp.hAPP (tptp.hAPP @t3144 @t5485) @t5503)) % 54.75/54.95 (define @t5505 () (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t5504)) % 54.75/54.95 (define @t5506 () (tptp.hAPP @t5486 @t5453)) % 54.75/54.95 (define @t5507 () (tptp.hBOOL (tptp.hAPP @t3697 @t5485))) % 54.75/54.95 (define @t5508 () (tptp.c_List_Oset @t2437)) % 54.75/54.95 (define @t5509 () (tptp.hAPP @t5508 @t5453)) % 54.75/54.95 (define @t5510 () (tptp.hAPP @t5508 @t5451)) % 54.75/54.95 (define @t5511 () (tptp.c_Map_Omap__of @t14 @t420 @t5453)) % 54.75/54.95 (define @t5512 () (tptp.c_Map_Omap__of @t14 @t420 @t5451)) % 54.75/54.95 (define @t5513 () (= @t5512 @t5511)) % 54.75/54.95 (define @t5514 () (@list @t5453 @t5451 @t420 @t14)) % 54.75/54.95 (define @t5515 () (tptp.c_List_Oset @t2675)) % 54.75/54.95 (define @t5516 () (tptp.hAPP (tptp.c_Map_Omap__of @t420 @t14 @t5451) @t349)) % 54.75/54.95 (define @t5517 () (tptp.hAPP @t5515 @t5405)) % 54.75/54.95 (define @t5518 () (tptp.hAPP @t5406 @t16)) % 54.75/54.95 (define @t5519 () (tptp.hAPP @t5508 @t5405)) % 54.75/54.95 (define @t5520 () (tptp.c_Map_Omap__of @t14 @t420 @t5405)) % 54.75/54.95 (define @t5521 () (tptp.tc_prod tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 54.75/54.95 (define @t5522 () (@var "V_ks_2" $$unsorted)) % 54.75/54.95 (define @t5523 () (@var "V_al_2" $$unsorted)) % 54.75/54.95 (define @t5524 () (tptp.hAPP (tptp.c_List_Omap @t2437 @t14) @t2551)) % 54.75/54.95 (define @t5525 () (tptp.c_List_Odistinct @t14)) % 54.75/54.95 (define @t5526 () (tptp.hBOOL (tptp.hAPP @t5525 (tptp.hAPP @t5524 @t5451)))) % 54.75/54.95 (define @t5527 () (@list @t5451 @t420 @t14)) % 54.75/54.95 (define @t5528 () (tptp.c_List_Odistinct @t420)) % 54.75/54.95 (define @t5529 () (tptp.hBOOL (tptp.hAPP @t5528 @t5451))) % 54.75/54.95 (define @t5530 () (tptp.hAPP @t5520 @t16)) % 54.75/54.95 (define @t5531 () (= @t5530 @t4075)) % 54.75/54.95 (define @t5532 () (tptp.hBOOL (tptp.hAPP @t3666 @t5519))) % 54.75/54.95 (define @t5533 () (tptp.hBOOL (tptp.hAPP @t5525 (tptp.hAPP @t5524 @t5405)))) % 54.75/54.95 (define @t5534 () (@list @t659 @t16 @t5405 @t420 @t14)) % 54.75/54.95 (define @t5535 () (tptp.hAPP (tptp.hAPP @t1440 @t1531) @t734)) % 54.75/54.95 (define @t5536 () (tptp.c_List_Oset tptp.tc_Int_Oint)) % 54.75/54.95 (define @t5537 () (tptp.c_List_Oupto @t434 @t1531)) % 54.75/54.95 (define @t5538 () (tptp.hAPP @t5536 @t5537)) % 54.75/54.95 (define @t5539 () (tptp.c_List_Oupto @t510 @t512)) % 54.75/54.95 (define @t5540 () (tptp.c_List_Oupto @t3598 @t1531)) % 54.75/54.95 (define @t5541 () (tptp.hAPP @t2570 @t5485)) % 54.75/54.95 (define @t5542 () (tptp.c_List_Oremove1 @t14 @t16 @t5451)) % 54.75/54.95 (define @t5543 () (tptp.hAPP @t5484 @t5542)) % 54.75/54.95 (define @t5544 () (tptp.hBOOL (tptp.hAPP @t5525 @t5451))) % 54.75/54.95 (define @t5545 () (@list @t16 @t5451 @t14)) % 54.75/54.95 (define @t5546 () (@list @t5451 @t16 @t14)) % 54.75/54.95 (define @t5547 () (tptp.hBOOL (tptp.hAPP @t3606 @t5485))) % 54.75/54.95 (define @t5548 () (not @t5547)) % 54.75/54.95 (define @t5549 () (tptp.hBOOL (tptp.hAPP @t3631 @t5485))) % 54.75/54.95 (define @t5550 () (@var "V_zs" $$unsorted)) % 54.75/54.95 (define @t5551 () (@list @t5550 @t367 @t288 @t289)) % 54.75/54.95 (define @t5552 () (@var "V_xs" $$unsorted)) % 54.75/54.95 (define @t5553 () (tptp.c_List_Oremove1 @t289 @t288 @t5552)) % 54.75/54.95 (define @t5554 () (tptp.c_List_Odistinct @t289)) % 54.75/54.95 (define @t5555 () (tptp.hBOOL (tptp.hAPP @t5554 @t5552))) % 54.75/54.95 (define @t5556 () (@list @t288 @t5552 @t289)) % 54.75/54.95 (define @t5557 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t14 @t1314)) % 54.75/54.95 (define @t5558 () (tptp.c_List_Olinorder__class_Osorted__list__of__set @t14 @t3585)) % 54.75/54.95 (define @t5559 () (tptp.c_List_Ozip @t14 @t420)) % 54.75/54.95 (define @t5560 () (tptp.hAPP @t5559 @t5451)) % 54.75/54.95 (define @t5561 () (tptp.hAPP (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP @t5560 @t5462)) @t16)) % 54.75/54.95 (define @t5562 () (@var "V_ys" $$unsorted)) % 54.75/54.95 (define @t5563 () (tptp.c_List_Ozip @t289 @t14)) % 54.75/54.95 (define @t5564 () (tptp.hAPP @t5563 @t5552)) % 54.75/54.95 (define @t5565 () (tptp.hAPP @t5564 @t5562)) % 54.75/54.95 (define @t5566 () (tptp.tc_prod @t289 @t14)) % 54.75/54.95 (define @t5567 () (@list @t5562 @t14 @t5552 @t289)) % 54.75/54.95 (define @t5568 () (tptp.tc_prod @t14 @t289)) % 54.75/54.95 (define @t5569 () (tptp.hAPP (tptp.c_List_Ozip @t14 @t14) @t5451)) % 54.75/54.95 (define @t5570 () (tptp.hAPP @t5569 @t5451)) % 54.75/54.95 (define @t5571 () (@var "V_zs_2" $$unsorted)) % 54.75/54.95 (define @t5572 () (tptp.hAPP (tptp.c_List_Omap @t2437 @t420) @t2550)) % 54.75/54.95 (define @t5573 () (tptp.hAPP @t5572 @t5571)) % 54.75/54.95 (define @t5574 () (tptp.hAPP @t5524 @t5571)) % 54.75/54.95 (define @t5575 () (tptp.tc_fun @t2443 @t2442)) % 54.75/54.95 (define @t5576 () (tptp.tc_fun @t2443 @t579)) % 54.75/54.95 (define @t5577 () (tptp.c_List_Ozip @t420 @t579)) % 54.75/54.95 (define @t5578 () (tptp.hAPP (tptp.c_List_Omap @t2442 @t14) @t2)) % 54.75/54.95 (define @t5579 () (tptp.hAPP (tptp.c_List_Omap @t2443 @t420) @t1)) % 54.75/54.95 (define @t5580 () (tptp.hBOOL (tptp.hAPP @t3702 @t5506))) % 54.75/54.95 (define @t5581 () (tptp.hAPP @t5560 @t5453)) % 54.75/54.95 (define @t5582 () (tptp.hAPP @t5508 @t5581)) % 54.75/54.95 (define @t5583 () (tptp.hBOOL (tptp.hAPP @t3666 @t5582))) % 54.75/54.95 (define @t5584 () (@list @t5453 @t5451 @t659 @t16 @t420 @t14)) % 54.75/54.95 (define @t5585 () (tptp.c_List_Oset @t3790)) % 54.75/54.95 (define @t5586 () (tptp.hAPP @t5559 (tptp.hAPP (tptp.hAPP @t5470 @t2) @t5451))) % 54.75/54.95 (define @t5587 () (tptp.tc_fun @t2443 @t2437)) % 54.75/54.95 (define @t5588 () (tptp.c_List_Olinorder__class_Oinsort__key @t14 @t14 @t2207)) % 54.75/54.95 (define @t5589 () (tptp.hAPP @t5588 @t16)) % 54.75/54.95 (define @t5590 () (tptp.hAPP (tptp.c_List_Ozip @t420 @t14) @t5451)) % 54.75/54.95 (define @t5591 () (tptp.c_Map_Omap__of @t420 @t14 (tptp.hAPP @t5590 @t5571))) % 54.75/54.95 (define @t5592 () (tptp.c_Map_Omap__of @t420 @t14 (tptp.hAPP @t5590 @t5453))) % 54.75/54.95 (define @t5593 () (= @t5592 @t5591)) % 54.75/54.95 (define @t5594 () (tptp.hAPP @t292 @t57)) % 54.75/54.95 (define @t5595 () (tptp.c_Nat_Osize__class_Osize @t5437)) % 54.75/54.95 (define @t5596 () (tptp.hAPP @t5595 @t5451)) % 54.75/54.95 (define @t5597 () (tptp.c_Nat_Osize__class_Osize @t5039)) % 54.75/54.95 (define @t5598 () (= (tptp.hAPP @t5597 @t5571) @t5596)) % 54.75/54.95 (define @t5599 () (tptp.hAPP @t5597 @t5453)) % 54.75/54.95 (define @t5600 () (= @t5599 @t5596)) % 54.75/54.95 (define @t5601 () (tptp.hAPP @t5597 @t5562)) % 54.75/54.95 (define @t5602 () (tptp.tc_List_Olist @t289)) % 54.75/54.95 (define @t5603 () (tptp.c_Nat_Osize__class_Osize @t5602)) % 54.75/54.95 (define @t5604 () (tptp.hAPP @t5603 @t5552)) % 54.75/54.95 (define @t5605 () (tptp.hAPP @t2497 @t5604)) % 54.75/54.95 (define @t5606 () (tptp.hAPP @t3403 @t5485)) % 54.75/54.95 (define @t5607 () (tptp.c_List_Olinorder__class_Oinsort__key @t14 @t420 @t2)) % 54.75/54.95 (define @t5608 () (tptp.hAPP @t5607 @t16)) % 54.75/54.95 (define @t5609 () (tptp.hAPP @t5608 @t5451)) % 54.75/54.95 (define @t5610 () (tptp.class_Orderings_Olinorder @t420)) % 54.75/54.95 (define @t5611 () (@list @t5451 @t16 @t2 @t14 @t420)) % 54.75/54.95 (define @t5612 () (tptp.hAPP @t5589 @t5451)) % 54.75/54.95 (define @t5613 () (tptp.hAPP @t5588 @t659)) % 54.75/54.95 (define @t5614 () (tptp.c_List_Olinorder__class_Oinsort__key @t420 @t14 @t2)) % 54.75/54.95 (define @t5615 () (tptp.hAPP @t5614 @t659)) % 54.75/54.95 (define @t5616 () (tptp.hAPP @t5614 @t16)) % 54.75/54.95 (define @t5617 () (tptp.hAPP @t5616 @t5451)) % 54.75/54.95 (define @t5618 () (tptp.hAPP @t5597 @t5451)) % 54.75/54.95 (define @t5619 () (tptp.hAPP tptp.c_Nat_OSuc @t5618)) % 54.75/54.95 (define @t5620 () (= @t5552 @t5562)) % 54.75/54.95 (define @t5621 () (tptp.hAPP @t5603 @t5562)) % 54.75/54.95 (define @t5622 () (@list @t5562 @t5552 @t289)) % 54.75/54.95 (define @t5623 () (tptp.c_Product__Type_OPair @t5039 @t5039)) % 54.75/54.95 (define @t5624 () (tptp.hAPP @t5623 @t5451)) % 54.75/54.95 (define @t5625 () (tptp.c_member @t5042)) % 54.75/54.95 (define @t5626 () (tptp.hAPP @t5625 (tptp.hAPP @t5624 @t5453))) % 54.75/54.95 (define @t5627 () (tptp.hAPP @t3112 @t5485)) % 54.75/54.95 (define @t5628 () (= @t5627 @t5618)) % 54.75/54.95 (define @t5629 () (= @t5453 @t5571)) % 54.75/54.95 (define @t5630 () (tptp.hAPP @t5595 @t5453)) % 54.75/54.95 (define @t5631 () (= @t5618 @t5630)) % 54.75/54.95 (define @t5632 () (@list @t5453 @t420 @t5451 @t14)) % 54.75/54.95 (define @t5633 () (and @t5548 @t5544)) % 54.75/54.95 (define @t5634 () (tptp.hBOOL (tptp.hAPP @t449 @t5618))) % 54.75/54.95 (define @t5635 () (tptp.tc_fun @t5043 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5636 () (tptp.tc_fun @t5039 @t5635)) % 54.75/54.95 (define @t5637 () (tptp.tc_fun @t5039 @t5042)) % 54.75/54.95 (define @t5638 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2232 @t5039)) % 54.75/54.95 (define @t5639 () (tptp.hAPP (tptp.hAPP @t5638 tptp.c_fequal) @t5597)) % 54.75/54.95 (define @t5640 () (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t5039)) % 54.75/54.95 (define @t5641 () (tptp.tc_fun @t5039 tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5642 () (tptp.hAPP (tptp.c_COMBB @t2232 (tptp.tc_fun @t5641 @t5433) @t5039) @t5640)) % 54.75/54.95 (define @t5643 () (tptp.c_COMBC @t5039 @t5641 @t5433)) % 54.75/54.95 (define @t5644 () (tptp.hAPP (tptp.hAPP @t5643 (tptp.hAPP @t5642 @t5639)) @t5597)) % 54.75/54.95 (define @t5645 () (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 @t5039)) % 54.75/54.95 (define @t5646 () (tptp.hAPP @t5645 tptp.c_fconj)) % 54.75/54.95 (define @t5647 () (tptp.tc_fun @t5039 @t2237)) % 54.75/54.95 (define @t5648 () (tptp.c_COMBB @t5433 @t5647 @t5039)) % 54.75/54.95 (define @t5649 () (tptp.c_COMBS @t5039 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5650 () (tptp.tc_fun @t5433 @t5433)) % 54.75/54.95 (define @t5651 () (tptp.hAPP (tptp.c_COMBB @t5647 @t5650 @t5039) @t5649)) % 54.75/54.95 (define @t5652 () (tptp.c_COMBS @t5039 @t5433 @t5433)) % 54.75/54.95 (define @t5653 () (tptp.c_Product__Type_Oprod_Oprod__case @t5039 @t5039 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5654 () (tptp.c_Set_OCollect @t5042)) % 54.75/54.95 (define @t5655 () (tptp.tc_prod tptp.tc_Nat_Onat @t5039)) % 54.75/54.95 (define @t5656 () (tptp.c_COMBC @t5039 tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5657 () (tptp.hAPP @t5656 @t5639)) % 54.75/54.95 (define @t5658 () (tptp.c_COMBB @t2359 @t4237 @t5039)) % 54.75/54.95 (define @t5659 () (tptp.c_COMBC @t5039 @t2359 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t5660 () (tptp.hAPP (tptp.hAPP @t5659 (tptp.hAPP (tptp.hAPP @t5658 @t2360) @t5484)) @t1314)) % 54.75/54.95 (define @t5661 () (tptp.hAPP @t5649 (tptp.hAPP @t5646 @t5660))) % 54.75/54.95 (define @t5662 () (tptp.c_Set_OCollect @t5039)) % 54.75/54.95 (define @t5663 () (@list @t102 @t1314 @t14)) % 54.75/54.95 (define @t5664 () (tptp.hBOOL (tptp.hAPP @t5083 (tptp.hAPP @t5585 (tptp.hAPP @t5569 @t5453))))) % 54.75/54.95 (define @t5665 () (= @t5618 @t5599)) % 54.75/54.95 (define @t5666 () (@list @t14 @t5453 @t5451)) % 54.75/54.95 (define @t5667 () (tptp.c_Map_Omap__of @t14 @t420 @t5581)) % 54.75/54.95 (define @t5668 () (tptp.hAPP @t5667 @t16)) % 54.75/54.95 (define @t5669 () (@list @t16 @t5453 @t420 @t5451 @t14)) % 54.75/54.95 (define @t5670 () (tptp.hAPP @t5597 @t5542)) % 54.75/54.95 (define @t5671 () (tptp.c_Nitpick_Ocard_H @t14 @t1314)) % 54.75/54.95 (define @t5672 () (tptp.c_Hilbert__Choice_OEps @t5039 (tptp.hAPP (tptp.hAPP @t5649 (tptp.hAPP @t5646 (tptp.hAPP (tptp.hAPP @t5659 (tptp.hAPP (tptp.hAPP @t5658 tptp.c_fequal) @t5484)) @t1314))) @t5525))) % 54.75/54.95 (define @t5673 () (tptp.c_List_Olistrel @t14 @t2020)) % 54.75/54.95 (define @t5674 () (tptp.hBOOL (tptp.hAPP @t5626 @t5673))) % 54.75/54.95 (define @t5675 () (@list @t2020 @t5453 @t5451 @t14)) % 54.75/54.95 (define @t5676 () (tptp.c_List_Olistrel @t14 @t5120)) % 54.75/54.95 (define @t5677 () (@list @t2020 @t5451 @t14)) % 54.75/54.95 (define @t5678 () (tptp.hAPP @t5623 @t5453)) % 54.75/54.95 (define @t5679 () (tptp.hBOOL (tptp.hAPP @t5626 @t5676))) % 54.75/54.95 (define @t5680 () (tptp.c_Orderings_Oord__class_Oless__eq @t5043)) % 54.75/54.95 (define @t5681 () (tptp.hAPP @t5680 @t5673)) % 54.75/54.95 (define @t5682 () (tptp.hAPP @t5623 @t16)) % 54.75/54.95 (define @t5683 () (tptp.hAPP @t5657 @t436)) % 54.75/54.95 (define @t5684 () (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5039)) % 54.75/54.95 (define @t5685 () (tptp.c_List_Olist_OCons @t14)) % 54.75/54.95 (define @t5686 () (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t5039 @t5039) @t5685)) % 54.75/54.95 (define @t5687 () (tptp.tc_prod @t14 @t5039)) % 54.75/54.95 (define @t5688 () (tptp.c_List_Olist_OCons @t289)) % 54.75/54.95 (define @t5689 () (tptp.hAPP @t5688 @t288)) % 54.75/54.95 (define @t5690 () (tptp.hAPP @t5689 @t5562)) % 54.75/54.95 (define @t5691 () (tptp.hAPP @t963 @t5604)) % 54.75/54.95 (define @t5692 () (tptp.hAPP @t5685 @t16)) % 54.75/54.95 (define @t5693 () (tptp.hAPP @t5692 @t5451)) % 54.75/54.95 (define @t5694 () (tptp.hAPP @t5484 @t5693)) % 54.75/54.95 (define @t5695 () (tptp.hAPP @t5689 @t5552)) % 54.75/54.95 (define @t5696 () (tptp.hAPP @t2360 @t5485)) % 54.75/54.95 (define @t5697 () (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5451 @t54)) % 54.75/54.95 (define @t5698 () (tptp.c_List_Olist_OCons @t420)) % 54.75/54.95 (define @t5699 () (tptp.hAPP @t5698 @t16)) % 54.75/54.95 (define @t5700 () (tptp.hAPP @t5699 @t5451)) % 54.75/54.95 (define @t5701 () (tptp.hAPP @t5685 @t659)) % 54.75/54.95 (define @t5702 () (tptp.hAPP @t5701 @t5453)) % 54.75/54.95 (define @t5703 () (tptp.hAPP @t5685 @t97)) % 54.75/54.95 (define @t5704 () (@var "V_list_H_2" $$unsorted)) % 54.75/54.95 (define @t5705 () (tptp.hAPP @t5685 @t54)) % 54.75/54.95 (define @t5706 () (tptp.hAPP @t5705 @t5469)) % 54.75/54.95 (define @t5707 () (@list @t5552 @t288 @t289)) % 54.75/54.95 (define @t5708 () (@list @t288 @t289 @t5552)) % 54.75/54.95 (define @t5709 () (tptp.hAPP @t5688 @t367)) % 54.75/54.95 (define @t5710 () (tptp.hAPP @t5709 @t5552)) % 54.75/54.95 (define @t5711 () (tptp.c_List_Oremove1 @t289 @t288 @t5710)) % 54.75/54.95 (define @t5712 () (tptp.hAPP @t5698 @t659)) % 54.75/54.95 (define @t5713 () (tptp.hAPP @t5712 @t5453)) % 54.75/54.95 (define @t5714 () (tptp.hAPP @t5616 @t5713)) % 54.75/54.95 (define @t5715 () (@var "V_ps" $$unsorted)) % 54.75/54.95 (define @t5716 () (tptp.c_List_Olist_OCons @t2437)) % 54.75/54.95 (define @t5717 () (tptp.hAPP (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP (tptp.hAPP @t5716 (tptp.hAPP (tptp.hAPP @t2400 @t531) @t953)) @t5715)) @t359)) % 54.75/54.95 (define @t5718 () (= @t531 @t359)) % 54.75/54.95 (define @t5719 () (@var "V_list" $$unsorted)) % 54.75/54.95 (define @t5720 () (tptp.hAPP @t5688 @t181)) % 54.75/54.95 (define @t5721 () (tptp.hAPP @t5623 @t5693)) % 54.75/54.95 (define @t5722 () (tptp.hAPP @t5625 (tptp.hAPP @t5721 @t5702))) % 54.75/54.95 (define @t5723 () (@list @t5453 @t5451 @t2020 @t659 @t16 @t14)) % 54.75/54.95 (define @t5724 () (@list @t2020 @t5453 @t659 @t5451 @t16 @t14)) % 54.75/54.95 (define @t5725 () (tptp.c_Orderings_Obot__class_Obot @t5433)) % 54.75/54.95 (define @t5726 () (tptp.c_Set_Oinsert @t5039)) % 54.75/54.95 (define @t5727 () (tptp.c_Relation_OImage @t5039 @t5039 @t5673)) % 54.75/54.95 (define @t5728 () (tptp.c_member @t5039)) % 54.75/54.95 (define @t5729 () (tptp.tc_fun @t5039 @t5039)) % 54.75/54.95 (define @t5730 () (tptp.tc_fun @t5729 @t5433)) % 54.75/54.95 (define @t5731 () (tptp.tc_fun @t14 @t5433)) % 54.75/54.95 (define @t5732 () (tptp.tc_fun @t14 @t5729)) % 54.75/54.95 (define @t5733 () (tptp.tc_fun @t14 @t5647)) % 54.75/54.95 (define @t5734 () (tptp.tc_fun @t14 @t5650)) % 54.75/54.95 (define @t5735 () (@var "B_ys" $$unsorted)) % 54.75/54.95 (define @t5736 () (tptp.hAPP @t5685 @t257)) % 54.75/54.95 (define @t5737 () (@var "B_xs" $$unsorted)) % 54.75/54.95 (define @t5738 () (tptp.hAPP @t5685 @t4)) % 54.75/54.95 (define @t5739 () (tptp.hAPP @t4841 @t5618)) % 54.75/54.95 (define @t5740 () (tptp.hAPP @t2931 (tptp.hAPP @t2929 @t5739))) % 54.75/54.95 (define @t5741 () (tptp.hAPP @t5740 (tptp.hAPP @t4843 @t3330))) % 54.75/54.95 (define @t5742 () (tptp.c_List_Osublist @t14 @t5451 @t3330)) % 54.75/54.95 (define @t5743 () (@list @t3330 @t5451 @t14)) % 54.75/54.95 (define @t5744 () (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t289) @t288)) % 54.75/54.95 (define @t5745 () (tptp.hAPP (tptp.c_Random_Opick @t289 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t289)) @t288) @t5552)) @t510)) % 54.75/54.95 (define @t5746 () (tptp.hBOOL (tptp.hAPP @t2154 @t5744))) % 54.75/54.95 (define @t5747 () (tptp.hAPP @t5484 @t5742)) % 54.75/54.95 (define @t5748 () (tptp.hBOOL (tptp.hAPP @t3606 @t5747))) % 54.75/54.95 (define @t5749 () (@list @t3330 @t5451 @t16 @t14)) % 54.75/54.95 (define @t5750 () (tptp.c_Random_Oselect__weight @t14 @t5451)) % 54.75/54.95 (define @t5751 () (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral @t14)) % 54.75/54.95 (define @t5752 () (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral @t14)) % 54.75/54.95 (define @t5753 () (tptp.hAPP @t5484 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5752 @t14) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t14)) @t5451))) % 54.75/54.95 (define @t5754 () (tptp.c_Random_Opick @t14 @t5451)) % 54.75/54.95 (define @t5755 () (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5752 tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t14)) @t5451))) % 54.75/54.95 (define @t5756 () (@list @t5451 @t14 @t434)) % 54.75/54.95 (define @t5757 () (tptp.c_List_Omonoid__add__class_Olistsum @t289)) % 54.75/54.95 (define @t5758 () (tptp.hAPP @t5757 @t5552)) % 54.75/54.95 (define @t5759 () (tptp.c_List_Omonoid__add__class_Olistsum @t14)) % 54.75/54.95 (define @t5760 () (tptp.hAPP @t5759 @t5490)) % 54.75/54.95 (define @t5761 () (tptp.hAPP @t5759 @t5458)) % 54.75/54.95 (define @t5762 () (@list @t5451 @t1 @t2 @t420 @t14)) % 54.75/54.95 (define @t5763 () (tptp.class_Groups_Omonoid__add @t14)) % 54.75/54.95 (define @t5764 () (tptp.hAPP @t5759 @t5451)) % 54.75/54.95 (define @t5765 () (tptp.tc_prod @t14 @t2606)) % 54.75/54.95 (define @t5766 () (tptp.hAPP (tptp.c_COMBB @t14 (tptp.tc_fun @t2606 @t5765) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair @t14 @t2606))) % 54.75/54.95 (define @t5767 () (tptp.c_Product__Type_Oscomp @t2606 tptp.tc_Code__Numeral_Ocode__numeral @t2606 @t5765)) % 54.75/54.95 (define @t5768 () (tptp.c_List_Omonoid__add__class_Olistsum @t420)) % 54.75/54.95 (define @t5769 () (tptp.hAPP @t5768 @t5462)) % 54.75/54.95 (define @t5770 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint @t14) @t2)) % 54.75/54.95 (define @t5771 () (tptp.c_List_Oupto @t349 @t1525)) % 54.75/54.95 (define @t5772 () (tptp.c_Product__Type_Ofst @t14 @t2606)) % 54.75/54.95 (define @t5773 () (@list @t98 @t5451 @t14)) % 54.75/54.95 (define @t5774 () (tptp.c_Nitpick_Osetsum_H @t14 @t420 @t2 @t1314)) % 54.75/54.95 (define @t5775 () (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)) % 54.75/54.95 (define @t5776 () (tptp.hBOOL (tptp.hAPP @t1176 @t1531))) % 54.75/54.95 (define @t5777 () (tptp.c_List_Olist_OCons tptp.tc_Int_Oint)) % 54.75/54.95 (define @t5778 () (tptp.c_List_Olist_ONil @t14)) % 54.75/54.95 (define @t5779 () (= @t5451 @t5778)) % 54.75/54.95 (define @t5780 () (tptp.hAPP @t5625 (tptp.hAPP @t5624 @t5778))) % 54.75/54.95 (define @t5781 () (tptp.hAPP @t5623 @t5778)) % 54.75/54.95 (define @t5782 () (tptp.hAPP @t5625 (tptp.hAPP @t5781 @t5451))) % 54.75/54.95 (define @t5783 () (@var "V_ns_2" $$unsorted)) % 54.75/54.95 (define @t5784 () (tptp.c_List_Oset tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5785 () (tptp.hAPP @t5784 @t5783)) % 54.75/54.95 (define @t5786 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t2978 @t5785)) (= @t4 @t19)))) % 54.75/54.95 (define @t5787 () (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5788 () (tptp.c_List_Olist_ONil @t289)) % 54.75/54.95 (define @t5789 () (tptp.c_List_Olist_ONil @t420)) % 54.75/54.95 (define @t5790 () (= @t5451 @t5789)) % 54.75/54.95 (define @t5791 () (@list @t5451 @t2 @t14 @t420)) % 54.75/54.95 (define @t5792 () (tptp.hAPP @t5607 @t54)) % 54.75/54.95 (define @t5793 () (= @t5539 @t5775)) % 54.75/54.95 (define @t5794 () (tptp.c_List_Olist_ONil @t5566)) % 54.75/54.95 (define @t5795 () (@var "V_list_H" $$unsorted)) % 54.75/54.95 (define @t5796 () (tptp.hAPP (tptp.hAPP @t5688 @t297) @t5795)) % 54.75/54.95 (define @t5797 () (@list @t5795 @t297 @t289)) % 54.75/54.95 (define @t5798 () (tptp.hAPP @t5692 @t5778)) % 54.75/54.95 (define @t5799 () (not @t5779)) % 54.75/54.95 (define @t5800 () (tptp.hAPP @t5781 @t5778)) % 54.75/54.95 (define @t5801 () (tptp.c_List_Osublist @t14 @t5798 @t1314)) % 54.75/54.95 (define @t5802 () (tptp.hAPP @t4851 @t1314)) % 54.75/54.95 (define @t5803 () (tptp.hBOOL @t5802)) % 54.75/54.95 (define @t5804 () (tptp.hAPP @t1613 @t306)) % 54.75/54.95 (define @t5805 () (tptp.c_List_Oupto @t5804 @t1980)) % 54.75/54.95 (define @t5806 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t5804) @t1980))) % 54.75/54.95 (define @t5807 () (tptp.hAPP (tptp.hAPP @t5726 @t5778) @t5725)) % 54.75/54.95 (define @t5808 () (tptp.hAPP (tptp.c_COMBC @t14 @t5039 @t5039) @t5685)) % 54.75/54.95 (define @t5809 () (tptp.hAPP @t5808 @t5778)) % 54.75/54.95 (define @t5810 () (tptp.c_Random_Oselect @t14 @t5451)) % 54.75/54.95 (define @t5811 () (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t14 @t5752) (tptp.hAPP @t5751 @t2018)) @t5451)) % 54.75/54.95 (define @t5812 () (@list @t14 @t5451)) % 54.75/54.95 (define @t5813 () (tptp.c_Product__Type_OPair @t5039 @t420)) % 54.75/54.95 (define @t5814 () (tptp.tc_prod @t5039 @t420)) % 54.75/54.95 (define @t5815 () (tptp.tc_fun @t420 @t5814)) % 54.75/54.95 (define @t5816 () (tptp.tc_fun @t5039 @t5815)) % 54.75/54.95 (define @t5817 () (tptp.tc_fun @t5814 @t5814)) % 54.75/54.95 (define @t5818 () (tptp.hAPP (tptp.hAPP @t5813 @t5778) @t16)) % 54.75/54.95 (define @t5819 () (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph @t420 @t14 @t2 @t349) @t16)) % 54.75/54.95 (define @t5820 () (@var "V_As_2" $$unsorted)) % 54.75/54.95 (define @t5821 () (tptp.tc_List_Olist @t2437)) % 54.75/54.95 (define @t5822 () (tptp.tc_fun @t5821 @t5821)) % 54.75/54.95 (define @t5823 () (tptp.tc_fun @t5437 @t5821)) % 54.75/54.95 (define @t5824 () (tptp.c_List_Olist_ONil @t2437)) % 54.75/54.95 (define @t5825 () (tptp.tc_fun @t5039 @t5821)) % 54.75/54.95 (define @t5826 () (tptp.c_List_Olist_Olist__case @t14 @t420 @t49 @t48)) % 54.75/54.95 (define @t5827 () (tptp.c_List_Onth @t14)) % 54.75/54.95 (define @t5828 () (tptp.hAPP @t5827 @t5451)) % 54.75/54.95 (define @t5829 () (tptp.c_List_Onth @t289)) % 54.75/54.95 (define @t5830 () (tptp.hAPP @t5829 @t5695)) % 54.75/54.95 (define @t5831 () (tptp.hAPP @t5829 @t5552)) % 54.75/54.95 (define @t5832 () (tptp.hAPP @t5831 @t76)) % 54.75/54.95 (define @t5833 () (tptp.hAPP @t5828 @t102)) % 54.75/54.95 (define @t5834 () (tptp.c_List_Onth @t420)) % 54.75/54.95 (define @t5835 () (tptp.hBOOL (tptp.hAPP @t465 @t5618))) % 54.75/54.95 (define @t5836 () (tptp.hAPP @t5828 @t1231)) % 54.75/54.95 (define @t5837 () (tptp.hBOOL (tptp.hAPP @t1603 @t5618))) % 54.75/54.95 (define @t5838 () (tptp.hBOOL (tptp.hAPP @t3086 @t5485))) % 54.75/54.95 (define @t5839 () (forall @t8 (=> @t5838 @t1143))) % 54.75/54.95 (define @t5840 () (@list @t87 @t5451 @t14)) % 54.75/54.95 (define @t5841 () (tptp.hAPP @t5828 @t567)) % 54.75/54.95 (define @t5842 () (tptp.hBOOL (tptp.hAPP @t568 @t5618))) % 54.75/54.95 (define @t5843 () (tptp.hAPP @t5828 @t434)) % 54.75/54.95 (define @t5844 () (tptp.hAPP @t448 @t1531)) % 54.75/54.95 (define @t5845 () (tptp.hBOOL (tptp.hAPP @t1536 @t5618))) % 54.75/54.95 (define @t5846 () (@list @t1531 @t434 @t5451 @t14)) % 54.75/54.95 (define @t5847 () (tptp.hAPP @t5827 @t5453)) % 54.75/54.95 (define @t5848 () (tptp.hAPP @t5831 @t510)) % 54.75/54.95 (define @t5849 () (tptp.hBOOL (tptp.hAPP @t515 @t5604))) % 54.75/54.95 (define @t5850 () (@var "V_ns" $$unsorted)) % 54.75/54.95 (define @t5851 () (tptp.hAPP @t5787 @t5850)) % 54.75/54.95 (define @t5852 () (tptp.c_List_Onth tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5853 () (tptp.hAPP (tptp.hAPP @t5852 @t5850) @t359)) % 54.75/54.95 (define @t5854 () (tptp.tc_List_Olist tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5855 () (tptp.c_Nat_Osize__class_Osize @t5854)) % 54.75/54.95 (define @t5856 () (tptp.hBOOL (tptp.hAPP @t532 (tptp.hAPP @t5855 @t5850)))) % 54.75/54.95 (define @t5857 () (tptp.hAPP @t5830 @t76)) % 54.75/54.95 (define @t5858 () (@list @t5552 @t288 @t289 @t76)) % 54.75/54.95 (define @t5859 () (tptp.c_COMBB @t14 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5860 () (tptp.tc_fun tptp.tc_Nat_Onat @t14)) % 54.75/54.95 (define @t5861 () (tptp.hAPP (tptp.c_COMBC @t14 @t2232 @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2930 @t2932 @t14) @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2930 @t14) @t2929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5860 @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 (tptp.tc_fun @t5860 @t2232) @t14) @t5859) tptp.c_fequal)) @t5828))))) % 54.75/54.95 (define @t5862 () (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t5863 () (tptp.hAPP (tptp.c_COMBB @t2232 tptp.tc_HOL_Obool @t14) @t5862)) % 54.75/54.95 (define @t5864 () (tptp.hAPP @t5830 @t1605)) % 54.75/54.95 (define @t5865 () (not @t1812)) % 54.75/54.95 (define @t5866 () (@list @t5552 @t288 @t289 @t953)) % 54.75/54.95 (define @t5867 () (tptp.hAPP @t3796 (tptp.hAPP @t5828 @t176))) % 54.75/54.95 (define @t5868 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t176) @t5618))) % 54.75/54.95 (define @t5869 () (tptp.hAPP @t5834 @t5453)) % 54.75/54.95 (define @t5870 () (tptp.tc_fun tptp.tc_Nat_Onat @t2437)) % 54.75/54.95 (define @t5871 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t420 @t14 @t2 @t16 @t5451)) % 54.75/54.95 (define @t5872 () (tptp.hBOOL (tptp.hAPP @t3716 @t5488))) % 54.75/54.95 (define @t5873 () (@list @t5451 @t420 @t16 @t2 @t14)) % 54.75/54.95 (define @t5874 () (tptp.c_List_Olist__update @t14 @t5451)) % 54.75/54.95 (define @t5875 () (tptp.hAPP @t5874 @t434)) % 54.75/54.95 (define @t5876 () (tptp.c_List_Olist__update @t289 @t5552)) % 54.75/54.95 (define @t5877 () (tptp.hAPP @t5876 @t510)) % 54.75/54.95 (define @t5878 () (@list @t510 @t5552 @t289)) % 54.75/54.95 (define @t5879 () (tptp.hAPP @t5831 @t512)) % 54.75/54.95 (define @t5880 () (tptp.hAPP @t5877 @t288)) % 54.75/54.95 (define @t5881 () (tptp.hAPP @t5829 @t5880)) % 54.75/54.95 (define @t5882 () (tptp.hAPP @t5881 @t512)) % 54.75/54.95 (define @t5883 () (= @t510 @t512)) % 54.75/54.95 (define @t5884 () (=> (not @t5883) (= @t5882 @t5879))) % 54.75/54.95 (define @t5885 () (tptp.hAPP (tptp.c_List_Olist__update @t289 @t5788) @t510)) % 54.75/54.95 (define @t5886 () (tptp.hAPP (tptp.c_List_Olist__update @t5566 @t5565) @t510)) % 54.75/54.95 (define @t5887 () (tptp.hAPP (tptp.c_List_Olist__update @t14 @t5562) @t510)) % 54.75/54.95 (define @t5888 () (@var "V_xy" $$unsorted)) % 54.75/54.95 (define @t5889 () (@list @t288 @t510 @t5552 @t289)) % 54.75/54.95 (define @t5890 () (@var "V_x_H" $$unsorted)) % 54.75/54.95 (define @t5891 () (@var "V_i_H" $$unsorted)) % 54.75/54.95 (define @t5892 () (tptp.c_List_Olist__update @t289 @t5880)) % 54.75/54.95 (define @t5893 () (tptp.hAPP @t5877 @t367)) % 54.75/54.95 (define @t5894 () (tptp.c_List_Olist__update @t289 @t5695)) % 54.75/54.95 (define @t5895 () (tptp.hAPP (tptp.c_COMBB @t5039 @t5039 tptp.tc_Nat_Onat) @t5692)) % 54.75/54.95 (define @t5896 () (tptp.hAPP @t5875 @t16)) % 54.75/54.95 (define @t5897 () (tptp.hAPP @t2360 (tptp.hAPP @t5484 @t5896))) % 54.75/54.95 (define @t5898 () (tptp.c_List_Olinorder__class_Oinsort__insert__key @t14 @t14 @t2207 @t16 @t5451)) % 54.75/54.95 (define @t5899 () (tptp.c_List_Oappend @t14)) % 54.75/54.95 (define @t5900 () (tptp.c_List_Olexord @t14 @t2020)) % 54.75/54.95 (define @t5901 () (tptp.hAPP @t5625 (tptp.hAPP @t5682 @t659))) % 54.75/54.95 (define @t5902 () (tptp.hBOOL (tptp.hAPP @t5901 @t5900))) % 54.75/54.95 (define @t5903 () (tptp.hAPP (tptp.hAPP @t5685 @t52) @t659)) % 54.75/54.95 (define @t5904 () (tptp.hAPP @t5705 @t16)) % 54.75/54.95 (define @t5905 () (tptp.c_List_Oappend @t289)) % 54.75/54.95 (define @t5906 () (tptp.hAPP @t5905 @t5552)) % 54.75/54.95 (define @t5907 () (tptp.hAPP @t5906 @t5690)) % 54.75/54.95 (define @t5908 () (tptp.hAPP @t5829 @t5562)) % 54.75/54.95 (define @t5909 () (tptp.hAPP @t316 @t5604)) % 54.75/54.95 (define @t5910 () (tptp.hAPP @t5906 @t5562)) % 54.75/54.95 (define @t5911 () (tptp.hAPP @t5829 @t5910)) % 54.75/54.95 (define @t5912 () (@var "V_vs" $$unsorted)) % 54.75/54.95 (define @t5913 () (tptp.hAPP @t5563 @t5562)) % 54.75/54.95 (define @t5914 () (@var "V_us" $$unsorted)) % 54.75/54.95 (define @t5915 () (tptp.c_List_Oappend @t5566)) % 54.75/54.95 (define @t5916 () (tptp.hAPP @t5563 @t5910)) % 54.75/54.95 (define @t5917 () (tptp.c_List_Olist__update @t289 @t5910)) % 54.75/54.95 (define @t5918 () (tptp.hAPP @t5709 @t5562)) % 54.75/54.95 (define @t5919 () (tptp.hAPP @t5701 @t5778)) % 54.75/54.95 (define @t5920 () (tptp.hAPP @t5899 @t5453)) % 54.75/54.95 (define @t5921 () (tptp.hAPP @t5920 @t5919)) % 54.75/54.95 (define @t5922 () (tptp.hAPP @t5899 @t5451)) % 54.75/54.95 (define @t5923 () (tptp.hAPP @t5922 @t5798)) % 54.75/54.95 (define @t5924 () (@var "B_ys_H" $$unsorted)) % 54.75/54.95 (define @t5925 () (tptp.hAPP (tptp.hAPP @t5899 @t5924) @t5571)) % 54.75/54.95 (define @t5926 () (tptp.hAPP @t5692 @t5924)) % 54.75/54.95 (define @t5927 () (@list @t5924)) % 54.75/54.95 (define @t5928 () (= @t5453 @t5778)) % 54.75/54.95 (define @t5929 () (tptp.hAPP @t5920 @t5571)) % 54.75/54.95 (define @t5930 () (tptp.hAPP @t5899 @t1572)) % 54.75/54.95 (define @t5931 () (tptp.hAPP (tptp.hAPP @t5905 @t5562) @t5550)) % 54.75/54.95 (define @t5932 () (@var "V_xs1" $$unsorted)) % 54.75/54.95 (define @t5933 () (tptp.hAPP @t5905 @t5932)) % 54.75/54.95 (define @t5934 () (tptp.c_List_Oappend @t420)) % 54.75/54.95 (define @t5935 () (tptp.hAPP (tptp.hAPP @t5934 @t5451) @t5453)) % 54.75/54.95 (define @t5936 () (tptp.hAPP @t5922 @t5453)) % 54.75/54.95 (define @t5937 () (@list @t5453 @t5451 @t14)) % 54.75/54.95 (define @t5938 () (tptp.c_List_Oremove1 @t14 @t16 @t5936)) % 54.75/54.95 (define @t5939 () (@list @t5453 @t5451 @t16 @t14)) % 54.75/54.95 (define @t5940 () (@var "B_us" $$unsorted)) % 54.75/54.95 (define @t5941 () (tptp.hAPP @t5899 @t5940)) % 54.75/54.95 (define @t5942 () (tptp.hAPP @t5899 @t5571)) % 54.75/54.95 (define @t5943 () (tptp.hAPP @t5922 @t5571)) % 54.75/54.95 (define @t5944 () (@list @t5571 @t5453 @t5451 @t14)) % 54.75/54.95 (define @t5945 () (tptp.hAPP @t5899 @t16)) % 54.75/54.95 (define @t5946 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 (tptp.hAPP @t5945 @t1572)) (tptp.hAPP @t5945 @t1671))) @t5900))) % 54.75/54.95 (define @t5947 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t1572) @t1671)) @t5900))) % 54.75/54.95 (define @t5948 () (tptp.hAPP (tptp.hAPP @t5905 @t5788) @t5562)) % 54.75/54.95 (define @t5949 () (and @t5779 @t5928)) % 54.75/54.95 (define @t5950 () (@list @t5552 @t289)) % 54.75/54.95 (define @t5951 () (tptp.hBOOL (tptp.hAPP @t5525 @t5453))) % 54.75/54.95 (define @t5952 () (tptp.hAPP @t1480 @t5604)) % 54.75/54.95 (define @t5953 () (tptp.hAPP @t5911 @t76)) % 54.75/54.95 (define @t5954 () (tptp.hBOOL (tptp.hAPP @t456 @t5604))) % 54.75/54.95 (define @t5955 () (not @t5954)) % 54.75/54.95 (define @t5956 () (tptp.hAPP (tptp.hAPP @t5917 @t76) @t288)) % 54.75/54.95 (define @t5957 () (@var "V_l_H_2" $$unsorted)) % 54.75/54.95 (define @t5958 () (tptp.hAPP @t5597 @t659)) % 54.75/54.95 (define @t5959 () (tptp.hAPP @t5597 @t16)) % 54.75/54.95 (define @t5960 () (= @t5959 @t5958)) % 54.75/54.95 (define @t5961 () (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5451 @t5453)) % 54.75/54.95 (define @t5962 () (tptp.c_List_Otake @t14)) % 54.75/54.95 (define @t5963 () (tptp.hAPP @t5962 @t1231)) % 54.75/54.95 (define @t5964 () (tptp.c_List_Otake @t289)) % 54.75/54.95 (define @t5965 () (tptp.hAPP @t5964 @t76)) % 54.75/54.95 (define @t5966 () (tptp.hAPP @t5965 @t5552)) % 54.75/54.95 (define @t5967 () (tptp.hAPP @t5905 @t5966)) % 54.75/54.95 (define @t5968 () (@list @t5562 @t5552 @t76 @t289)) % 54.75/54.95 (define @t5969 () (@list @t5571 @t347 @t5453 @t420 @t5451 @t14)) % 54.75/54.95 (define @t5970 () (@var "V_bs_2" $$unsorted)) % 54.75/54.95 (define @t5971 () (@var "V_as_2" $$unsorted)) % 54.75/54.95 (define @t5972 () (tptp.hAPP @t5962 @t102)) % 54.75/54.95 (define @t5973 () (tptp.hAPP @t5972 @t5451)) % 54.75/54.95 (define @t5974 () (@list @t5451 @t102 @t14)) % 54.75/54.95 (define @t5975 () (@list @t5562 @t5552 @t76 @t14 @t289)) % 54.75/54.95 (define @t5976 () (tptp.hAPP (tptp.hAPP @t5964 @t306) @t5552)) % 54.75/54.95 (define @t5977 () (@list @t5552 @t306 @t76 @t289)) % 54.75/54.95 (define @t5978 () (tptp.hAPP (tptp.hAPP @t5964 @t510) @t5552)) % 54.75/54.95 (define @t5979 () (tptp.hAPP @t5484 @t5973)) % 54.75/54.95 (define @t5980 () (@list @t5451 @t102 @t16 @t14)) % 54.75/54.95 (define @t5981 () (tptp.c_Map_Omap__upds @t14 @t420 @t2 @t5451 @t5453)) % 54.75/54.95 (define @t5982 () (@list @t5451 @t2 @t420 @t102 @t14)) % 54.75/54.95 (define @t5983 () (tptp.hAPP @t5964 @t254)) % 54.75/54.95 (define @t5984 () (@list @t5552 @t288 @t76 @t289)) % 54.75/54.95 (define @t5985 () (tptp.hAPP @t5689 @t5788)) % 54.75/54.95 (define @t5986 () (tptp.c_Map_Omap__upds @t14 @t420 (tptp.hAPP @t4110 @t4075) @t5451 @t5453)) % 54.75/54.95 (define @t5987 () (tptp.hAPP @t5484 (tptp.hAPP (tptp.hAPP @t5962 @t5630) @t5451))) % 54.75/54.95 (define @t5988 () (tptp.hBOOL (tptp.hAPP @t3606 @t5987))) % 54.75/54.95 (define @t5989 () (tptp.hBOOL (tptp.hAPP @t5691 @t76))) % 54.75/54.95 (define @t5990 () (@list @t76 @t5552 @t289)) % 54.75/54.95 (define @t5991 () (@list @t5552 @t76 @t289)) % 54.75/54.95 (define @t5992 () (tptp.hAPP @t421 @t52)) % 54.75/54.95 (define @t5993 () (tptp.c_Map_Omap__upds @t14 @t420 (tptp.hAPP @t4082 @t5992) @t5971 @t5970)) % 54.75/54.95 (define @t5994 () (tptp.c_COMBC tptp.tc_Nat_Onat @t5039 @t5039)) % 54.75/54.95 (define @t5995 () (@list @t5451 @t16 @t102 @t14)) % 54.75/54.95 (define @t5996 () (tptp.hAPP @t5964 @t1590)) % 54.75/54.95 (define @t5997 () (tptp.hAPP @t5996 @t5552)) % 54.75/54.95 (define @t5998 () (tptp.hAPP @t5965 @t5695)) % 54.75/54.95 (define @t5999 () (tptp.hAPP @t963 @t5618)) % 54.75/54.95 (define @t6000 () (tptp.hAPP @t5484 @t5971)) % 54.75/54.95 (define @t6001 () (tptp.hAPP (tptp.hAPP @t5964 @t1605) @t5695)) % 54.75/54.95 (define @t6002 () (tptp.hAPP @t5688 @t5848)) % 54.75/54.95 (define @t6003 () (tptp.hAPP @t5905 @t5978)) % 54.75/54.95 (define @t6004 () (@list @t5552 @t289 @t510)) % 54.75/54.95 (define @t6005 () (tptp.c_List_Olistrel1 @t14 @t2020)) % 54.75/54.95 (define @t6006 () (tptp.hBOOL (tptp.hAPP @t5626 @t6005))) % 54.75/54.95 (define @t6007 () (tptp.hAPP @t3796 @t446)) % 54.75/54.95 (define @t6008 () (tptp.c_Wellfounded_Oacc @t5039 @t6005)) % 54.75/54.95 (define @t6009 () (tptp.hAPP @t5728 @t5693)) % 54.75/54.95 (define @t6010 () (tptp.hAPP @t5728 @t5451)) % 54.75/54.95 (define @t6011 () (tptp.hBOOL (tptp.hAPP @t6010 @t6008))) % 54.75/54.95 (define @t6012 () (tptp.c_Transitive__Closure_Ortrancl @t5039 @t6005)) % 54.75/54.95 (define @t6013 () (tptp.hAPP @t5680 @t6005)) % 54.75/54.95 (define @t6014 () (tptp.hAPP (tptp.c_Relation_Oconverse @t5039 @t5039) @t6005)) % 54.75/54.95 (define @t6015 () (tptp.c_List_Olistrel1 @t14 @t5154)) % 54.75/54.95 (define @t6016 () (tptp.hAPP @t5625 (tptp.hAPP @t5721 (tptp.hAPP @t5692 @t5453)))) % 54.75/54.95 (define @t6017 () (@list @t16 @t2020 @t5453 @t5451 @t14)) % 54.75/54.95 (define @t6018 () (tptp.hBOOL (tptp.hAPP @t5626 @t6012))) % 54.75/54.95 (define @t6019 () (@var "V_vs_2" $$unsorted)) % 54.75/54.95 (define @t6020 () (@var "V_us_2" $$unsorted)) % 54.75/54.95 (define @t6021 () (tptp.hAPP @t5899 @t6020)) % 54.75/54.95 (define @t6022 () (@var "B_vs" $$unsorted)) % 54.75/54.95 (define @t6023 () (tptp.hAPP (tptp.c_COMBC @t5039 @t5039 @t5039) @t5899)) % 54.75/54.95 (define @t6024 () (tptp.c_COMBB @t5039 @t5729 @t14)) % 54.75/54.95 (define @t6025 () (tptp.c_List_Orotate1 @t14)) % 54.75/54.95 (define @t6026 () (tptp.hAPP @t6025 @t5451)) % 54.75/54.95 (define @t6027 () (tptp.c_List_Odrop @t289)) % 54.75/54.95 (define @t6028 () (tptp.hAPP (tptp.hAPP @t6027 @t511) @t5552)) % 54.75/54.95 (define @t6029 () (tptp.c_List_Odrop @t14)) % 54.75/54.95 (define @t6030 () (tptp.hAPP @t6027 @t76)) % 54.75/54.95 (define @t6031 () (tptp.hAPP @t6030 @t5552)) % 54.75/54.95 (define @t6032 () (tptp.hAPP @t1445 @t5604)) % 54.75/54.95 (define @t6033 () (tptp.c_List_Orotate1 @t289)) % 54.75/54.95 (define @t6034 () (tptp.hAPP @t6033 @t5552)) % 54.75/54.95 (define @t6035 () (tptp.hAPP @t6027 @t254)) % 54.75/54.95 (define @t6036 () (tptp.hAPP @t6029 @t102)) % 54.75/54.95 (define @t6037 () (tptp.hAPP @t6036 @t5451)) % 54.75/54.95 (define @t6038 () (tptp.hAPP @t5484 @t6037)) % 54.75/54.95 (define @t6039 () (tptp.hAPP (tptp.hAPP @t6027 @t510) @t5552)) % 54.75/54.95 (define @t6040 () (tptp.hAPP @t6027 @t306)) % 54.75/54.95 (define @t6041 () (tptp.hAPP @t6040 @t5552)) % 54.75/54.95 (define @t6042 () (tptp.hAPP @t6030 @t5695)) % 54.75/54.95 (define @t6043 () (tptp.hAPP @t360 @t510)) % 54.75/54.95 (define @t6044 () (@var "V_ys_092_060_094isub_0622_2" $$unsorted)) % 54.75/54.95 (define @t6045 () (@var "V_xs_092_060_094isub_0622_2" $$unsorted)) % 54.75/54.95 (define @t6046 () (@var "V_xs_092_060_094isub_0621_2" $$unsorted)) % 54.75/54.95 (define @t6047 () (@var "V_ys_092_060_094isub_0621_2" $$unsorted)) % 54.75/54.95 (define @t6048 () (tptp.hAPP @t5597 @t6047)) % 54.75/54.95 (define @t6049 () (tptp.hAPP @t5597 @t6046)) % 54.75/54.95 (define @t6050 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t6049) @t6048))) % 54.75/54.95 (define @t6051 () (tptp.hAPP @t6002 @t6028)) % 54.75/54.95 (define @t6052 () (tptp.hAPP @t5685 @t288)) % 54.75/54.95 (define @t6053 () (tptp.hAPP (tptp.hAPP @t6027 @t1605) @t5695)) % 54.75/54.95 (define @t6054 () (tptp.hBOOL (tptp.hAPP @t5691 @t821))) % 54.75/54.95 (define @t6055 () (@list @t5550 @t5562 @t5552 @t14 @t289)) % 54.75/54.95 (define @t6056 () (tptp.hAPP @t5983 @t5552)) % 54.75/54.95 (define @t6057 () (tptp.c_List_Ohd @t289)) % 54.75/54.95 (define @t6058 () (tptp.hAPP @t6057 @t6031)) % 54.75/54.95 (define @t6059 () (@list @t5552 @t289 @t76)) % 54.75/54.95 (define @t6060 () (= @t5552 @t5788)) % 54.75/54.95 (define @t6061 () (not @t6060)) % 54.75/54.95 (define @t6062 () (@list @t76 @t289 @t5552)) % 54.75/54.95 (define @t6063 () (tptp.c_List_Ohd @t14)) % 54.75/54.95 (define @t6064 () (tptp.hAPP @t6063 @t5451)) % 54.75/54.95 (define @t6065 () (@list @t2 @t420 @t14 @t5451)) % 54.75/54.95 (define @t6066 () (tptp.hAPP @t6057 @t5552)) % 54.75/54.95 (define @t6067 () (tptp.hAPP @t6057 @t5910)) % 54.75/54.95 (define @t6068 () (=> @t6061 (= @t6067 @t6066))) % 54.75/54.95 (define @t6069 () (@list @t5562 @t289 @t5552)) % 54.75/54.95 (define @t6070 () (@list @t289 @t5552)) % 54.75/54.95 (define @t6071 () (tptp.hAPP @t5688 @t6066)) % 54.75/54.95 (define @t6072 () (tptp.c_List_Otl @t289)) % 54.75/54.95 (define @t6073 () (tptp.hAPP @t6072 @t5552)) % 54.75/54.95 (define @t6074 () (tptp.hAPP @t5905 @t6073)) % 54.75/54.95 (define @t6075 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t76 @t5604)) % 54.75/54.95 (define @t6076 () (tptp.c_List_Orotate @t289 @t76)) % 54.75/54.95 (define @t6077 () (tptp.hAPP @t6076 @t5552)) % 54.75/54.95 (define @t6078 () (tptp.hAPP @t6030 @t6073)) % 54.75/54.95 (define @t6079 () (tptp.hAPP @t6072 @t6031)) % 54.75/54.95 (define @t6080 () (tptp.c_List_Otl @t14)) % 54.75/54.95 (define @t6081 () (tptp.c_List_Orotate @t14 @t102)) % 54.75/54.95 (define @t6082 () (tptp.hAPP @t6081 @t5451)) % 54.75/54.95 (define @t6083 () (tptp.hAPP @t5965 @t6073)) % 54.75/54.95 (define @t6084 () (tptp.hAPP @t6033 @t6077)) % 54.75/54.95 (define @t6085 () (= @t6077 @t5552)) % 54.75/54.95 (define @t6086 () (tptp.hAPP @t6032 @t821)) % 54.75/54.95 (define @t6087 () (tptp.c_List_Ofoldl @t14 @t420 @t2 @t54)) % 54.75/54.95 (define @t6088 () (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t329 @t54) @t5451)) % 54.75/54.95 (define @t6089 () (tptp.c_List_Ofoldl @t14 @t14 @t329 @t15)) % 54.75/54.95 (define @t6090 () (@list @t5571 @t659 @t16 @t14)) % 54.75/54.95 (define @t6091 () (tptp.hAPP @t6087 @t5451)) % 54.75/54.95 (define @t6092 () (tptp.c_List_Ofoldr @t14 @t14 @t329 @t5451 @t15)) % 54.75/54.95 (define @t6093 () (@list @t5451 @t54 @t14)) % 54.75/54.95 (define @t6094 () (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t2506 @t16) @t5451)) % 54.75/54.95 (define @t6095 () (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t2630 @t16) @t5451)) % 54.75/54.95 (define @t6096 () (@list @t2 @t5451 @t420 @t14)) % 54.75/54.95 (define @t6097 () (tptp.c_List_Olist_Olist__size @t14 @t2 @t5451)) % 54.75/54.95 (define @t6098 () (tptp.hAPP @t448 @t659)) % 54.75/54.95 (define @t6099 () (@list @t2 @t659 @t5451 @t16 @t14)) % 54.75/54.95 (define @t6100 () (tptp.tc_fun @t420 @t5409)) % 54.75/54.95 (define @t6101 () (tptp.tc_fun @t5414 @t6100)) % 54.75/54.95 (define @t6102 () (tptp.tc_fun @t14 @t6101)) % 54.75/54.95 (define @t6103 () (tptp.tc_fun @t14 @t6100)) % 54.75/54.95 (define @t6104 () (@list @t5451 @t2 @t14)) % 54.75/54.95 (define @t6105 () (tptp.c_List_Olists @t14 @t1314)) % 54.75/54.95 (define @t6106 () (tptp.hBOOL (tptp.hAPP @t6010 (tptp.c_List_Olists @t14 @t4681)))) % 54.75/54.95 (define @t6107 () (tptp.hBOOL (tptp.hAPP @t6010 @t6105))) % 54.75/54.95 (define @t6108 () (@list @t1314 @t5451 @t14)) % 54.75/54.95 (define @t6109 () (tptp.hAPP @t5685 @t446)) % 54.75/54.95 (define @t6110 () (tptp.c_List_Olast @t289 @t5552)) % 54.75/54.95 (define @t6111 () (tptp.hAPP @t5876 @t359)) % 54.75/54.95 (define @t6112 () (tptp.hAPP @t6111 @t288)) % 54.75/54.95 (define @t6113 () (tptp.c_List_Olast @t289 @t6112)) % 54.75/54.95 (define @t6114 () (= @t359 @t6086)) % 54.75/54.95 (define @t6115 () (not @t6114)) % 54.75/54.95 (define @t6116 () (tptp.c_List_Olast @t289 @t5910)) % 54.75/54.95 (define @t6117 () (= @t5562 @t5788)) % 54.75/54.95 (define @t6118 () (=> @t6117 (= @t6116 @t6110))) % 54.75/54.95 (define @t6119 () (@list @t5552 @t289 @t5562)) % 54.75/54.95 (define @t6120 () (not @t6117)) % 54.75/54.95 (define @t6121 () (=> @t6120 (= @t6116 (tptp.c_List_Olast @t289 @t5562)))) % 54.75/54.95 (define @t6122 () (tptp.c_List_Olast @t289 @t5695)) % 54.75/54.95 (define @t6123 () (=> @t6060 (= @t6122 @t288))) % 54.75/54.95 (define @t6124 () (=> @t6061 (= @t6122 @t6110))) % 54.75/54.95 (define @t6125 () (tptp.hAPP @t5906 @t5985)) % 54.75/54.95 (define @t6126 () (tptp.hAPP @t5623 @t659)) % 54.75/54.95 (define @t6127 () (@var "B_l" $$unsorted)) % 54.75/54.95 (define @t6128 () (tptp.hAPP @t5964 @t359)) % 54.75/54.95 (define @t6129 () (tptp.c_List_Obutlast @t289 @t5552)) % 54.75/54.95 (define @t6130 () (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5484 (tptp.c_List_Obutlast @t14 @t5451))))) % 54.75/54.95 (define @t6131 () (tptp.c_List_Obutlast @t289 @t5695)) % 54.75/54.95 (define @t6132 () (tptp.c_List_Obutlast @t289 @t5910)) % 54.75/54.95 (define @t6133 () (tptp.c_List_Obutlast @t289 @t6031)) % 54.75/54.95 (define @t6134 () (tptp.hAPP @t6030 @t6129)) % 54.75/54.95 (define @t6135 () (tptp.c_List_Obutlast @t14 @t5453)) % 54.75/54.95 (define @t6136 () (tptp.c_List_Obutlast @t289 @t6112)) % 54.75/54.95 (define @t6137 () (@var "V_xss_2" $$unsorted)) % 54.75/54.95 (define @t6138 () (tptp.c_COMBB tptp.tc_Nat_Onat @t2182 @t5437)) % 54.75/54.95 (define @t6139 () (tptp.hAPP @t6138 @t2609)) % 54.75/54.95 (define @t6140 () (@var "V_no_2" $$unsorted)) % 54.75/54.95 (define @t6141 () (tptp.hAPP @t5484 @t6140)) % 54.75/54.95 (define @t6142 () (@var "V_yes_2" $$unsorted)) % 54.75/54.95 (define @t6143 () (tptp.hAPP @t5484 @t6142)) % 54.75/54.95 (define @t6144 () (tptp.c_List_Opartition @t14 @t87 @t5451)) % 54.75/54.95 (define @t6145 () (= @t6144 (tptp.hAPP (tptp.hAPP @t5623 @t6142) @t6140))) % 54.75/54.95 (define @t6146 () (@list @t6140 @t6142 @t5451 @t87 @t14)) % 54.75/54.95 (define @t6147 () (tptp.hAPP (tptp.c_Fun_Ocomp @t14 tptp.tc_HOL_Obool @t420 @t87) @t2)) % 54.75/54.95 (define @t6148 () (tptp.hAPP (tptp.c_List_Ofilter @t420 @t6147) @t5451)) % 54.75/54.95 (define @t6149 () (tptp.c_List_Ofilter @t14 @t87)) % 54.75/54.95 (define @t6150 () (tptp.hAPP @t6149 @t5458)) % 54.75/54.95 (define @t6151 () (@list @t5451 @t2 @t420 @t87 @t14)) % 54.75/54.95 (define @t6152 () (tptp.hAPP @t6149 @t5451)) % 54.75/54.95 (define @t6153 () (tptp.hAPP @t5484 @t6152)) % 54.75/54.95 (define @t6154 () (@list @t5451 @t87 @t14)) % 54.75/54.95 (define @t6155 () (tptp.hAPP @t5597 @t6152)) % 54.75/54.95 (define @t6156 () (tptp.hAPP @t6149 @t5693)) % 54.75/54.95 (define @t6157 () (not @t2739)) % 54.75/54.95 (define @t6158 () (@list @t5451 @t14 @t16 @t87)) % 54.75/54.95 (define @t6159 () (tptp.c_List_Ofilter @t14 @t2599)) % 54.75/54.95 (define @t6160 () (tptp.hAPP @t6159 @t5451)) % 54.75/54.95 (define @t6161 () (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t14 tptp.c_fNot)) % 54.75/54.95 (define @t6162 () (@list @t659 @t5451 @t14)) % 54.75/54.95 (define @t6163 () (tptp.c_List_Osublist @t14 @t5451 @t98)) % 54.75/54.95 (define @t6164 () (tptp.tc_fun @t5042 @t5042)) % 54.75/54.95 (define @t6165 () (tptp.tc_fun @t5039 @t6164)) % 54.75/54.95 (define @t6166 () (tptp.c_List_Ofilter @t14 @t1601)) % 54.75/54.95 (define @t6167 () (@list @t5451 @t1601 @t14)) % 54.75/54.95 (define @t6168 () (tptp.c_List_Omap__filter @t420 @t14 @t2 @t5451)) % 54.75/54.95 (define @t6169 () (tptp.hAPP (tptp.hAPP @t5684 tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5039 tptp.tc_HOL_Obool) tptp.c_fequal) @t5778))) % 54.75/54.95 (define @t6170 () (tptp.c_List_Ofilter @t5039 @t6169)) % 54.75/54.95 (define @t6171 () (tptp.tc_List_Olist @t5039)) % 54.75/54.95 (define @t6172 () (tptp.c_Nat_Osize__class_Osize @t6171)) % 54.75/54.95 (define @t6173 () (tptp.c_List_Otranspose @t14 @t5451)) % 54.75/54.95 (define @t6174 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2182 @t5039) @t2609) @t5597)) % 54.75/54.95 (define @t6175 () (tptp.hAPP (tptp.c_List_Omap @t5437 @t5039) @t5456)) % 54.75/54.95 (define @t6176 () (tptp.hAPP @t6175 @t5451)) % 54.75/54.95 (define @t6177 () (tptp.c_List_Olist_ONil @t5602)) % 54.75/54.95 (define @t6178 () (= @t4 @t5778)) % 54.75/54.95 (define @t6179 () (tptp.c_List_Oset @t5039)) % 54.75/54.95 (define @t6180 () (tptp.hAPP @t6179 @t5451)) % 54.75/54.95 (define @t6181 () (tptp.hAPP @t5728 @t4)) % 54.75/54.95 (define @t6182 () (tptp.c_List_Olist_ONil @t5039)) % 54.75/54.95 (define @t6183 () (@var "V_xss" $$unsorted)) % 54.75/54.95 (define @t6184 () (tptp.c_List_Olist_OCons @t5602)) % 54.75/54.95 (define @t6185 () (@var "V_is_2" $$unsorted)) % 54.75/54.95 (define @t6186 () (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc)) % 54.75/54.95 (define @t6187 () (tptp.hAPP (tptp.c_List_Ozip @t14 tptp.tc_Nat_Onat) @t5451)) % 54.75/54.95 (define @t6188 () (tptp.c_Product__Type_Osnd @t14 tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t6189 () (tptp.tc_prod @t14 tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t6190 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t6189) @t87)) % 54.75/54.95 (define @t6191 () (tptp.hAPP (tptp.c_List_Omap @t6189 @t14) (tptp.c_Product__Type_Ofst @t14 tptp.tc_Nat_Onat))) % 54.75/54.95 (define @t6192 () (tptp.hAPP (tptp.c_List_Ofilter @t5752 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral @t14 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2359 tptp.tc_Code__Numeral_Ocode__numeral) @t4877) @t2607))) @t5451)) % 54.75/54.95 (define @t6193 () (tptp.c_List_Ofilter @t5039 (tptp.hAPP (tptp.hAPP @t5640 @t1536) @t5597))) % 54.75/54.95 (define @t6194 () (tptp.hAPP @t6193 @t5451)) % 54.75/54.95 (define @t6195 () (tptp.c_List_Omap @t5039 @t14)) % 54.75/54.95 (define @t6196 () (tptp.hAPP @t6195 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 tptp.tc_Nat_Onat @t14) @t5827) @t434))) % 54.75/54.95 (define @t6197 () (tptp.c_List_Onth @t5039)) % 54.75/54.95 (define @t6198 () (tptp.hAPP (tptp.hAPP @t6197 @t6173) @t434)) % 54.75/54.95 (define @t6199 () (tptp.hAPP @t6172 @t6173)) % 54.75/54.95 (define @t6200 () (tptp.hBOOL (tptp.hAPP @t1536 @t6199))) % 54.75/54.95 (define @t6201 () (tptp.tc_fun @t2706 @t2706)) % 54.75/54.95 (define @t6202 () (tptp.c_List_Ofilter @t420 @t87)) % 54.75/54.95 (define @t6203 () (tptp.hAPP @t6202 @t5451)) % 54.75/54.95 (define @t6204 () (tptp.hAPP @t5456 @t6203)) % 54.75/54.95 (define @t6205 () (tptp.c_List_Oremove1 @t14 @t54 @t5451)) % 54.75/54.95 (define @t6206 () (tptp.c_List_Olinorder__class_Osorted @t420 @t5462)) % 54.75/54.95 (define @t6207 () (tptp.c_List_Oupt @t19 @t5618)) % 54.75/54.95 (define @t6208 () (tptp.hAPP @t6187 @t6207)) % 54.75/54.95 (define @t6209 () (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t4847 @t6189) @t2977)) % 54.75/54.95 (define @t6210 () (tptp.c_COMBC @t6189 @t2232 tptp.tc_HOL_Obool)) % 54.75/54.95 (define @t6211 () (tptp.c_List_Ofilter @t6189 (tptp.hAPP (tptp.hAPP @t6210 (tptp.hAPP @t6209 @t6188)) @t1314))) % 54.75/54.95 (define @t6212 () (tptp.hAPP @t1 @t5451)) % 54.75/54.95 (define @t6213 () (tptp.c_List_Olinorder__class_Osorted @t14 @t5458)) % 54.75/54.95 (define @t6214 () (tptp.c_List_Oupt @t510 @t512)) % 54.75/54.95 (define @t6215 () (tptp.c_List_Olinorder__class_Osorted @t289 @t5552)) % 54.75/54.95 (define @t6216 () (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t6217 () (tptp.c_List_Oupt @t434 @t1531)) % 54.75/54.95 (define @t6218 () (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t6219 () (= @t6214 @t6218)) % 54.75/54.95 (define @t6220 () (tptp.hAPP @t5709 @t5550)) % 54.75/54.95 (define @t6221 () (tptp.hAPP @t5701 @t5571)) % 54.75/54.95 (define @t6222 () (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) @t6214)) % 54.75/54.95 (define @t6223 () (tptp.c_List_Oupt @t510 @t1569)) % 54.75/54.95 (define @t6224 () (=> @t989 (= @t6223 (tptp.hAPP @t6222 (tptp.hAPP (tptp.hAPP @t6216 @t512) @t6218))))) % 54.75/54.95 (define @t6225 () (tptp.c_List_Olinorder__class_Osorted @t14 @t5451)) % 54.75/54.95 (define @t6226 () (tptp.c_List_Olinorder__class_Osorted @t14 @t5453)) % 54.75/54.95 (define @t6227 () (=> @t516 (= @t6214 (tptp.hAPP (tptp.hAPP @t6216 @t510) (tptp.c_List_Oupt @t511 @t512))))) % 54.75/54.95 (define @t6228 () (tptp.hAPP @t5784 @t6217)) % 54.75/54.95 (define @t6229 () (=> (= @t5485 @t5503) @t5454)) % 54.75/54.95 (define @t6230 () (tptp.c_List_Oupt @t347 @t102)) % 54.75/54.95 (define @t6231 () (tptp.hAPP @t1604 @t76)) % 54.75/54.95 (define @t6232 () (tptp.hAPP @t1604 @t306)) % 54.75/54.95 (define @t6233 () (tptp.c_List_Oupt @t6232 @t6231)) % 54.75/54.95 (define @t6234 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t6232) @t6231))) % 54.75/54.95 (define @t6235 () (@list @t16 @t5451 @t2 @t420 @t14)) % 54.75/54.95 (define @t6236 () (tptp.c_List_Omap tptp.tc_Nat_Onat @t14)) % 54.75/54.95 (define @t6237 () (tptp.c_List_Oupt @t19 @t102)) % 54.75/54.95 (define @t6238 () (tptp.hAPP (tptp.hAPP @t6236 @t2) @t6230)) % 54.75/54.95 (define @t6239 () (tptp.hAPP @t5759 @t6238)) % 54.75/54.95 (define @t6240 () (tptp.hAPP @t2864 (tptp.hAPP @t5784 @t6230))) % 54.75/54.95 (define @t6241 () (tptp.hBOOL (tptp.hAPP @t513 @t5604))) % 54.75/54.95 (define @t6242 () (@list @t512 @t510 @t5552 @t289)) % 54.75/54.95 (define @t6243 () (tptp.hAPP @t6172 @t5451)) % 54.75/54.95 (define @t6244 () (tptp.hAPP @t6197 @t5451)) % 54.75/54.95 (define @t6245 () (= @t5451 @t6182)) % 54.75/54.95 (define @t6246 () (tptp.c_List_Olist_OCons @t5039)) % 54.75/54.95 (define @t6247 () (tptp.hAPP (tptp.hAPP @t6246 @t5778) @t6137)) % 54.75/54.95 (define @t6248 () (tptp.c_Wellfounded_Oaccp @t6171 (tptp.c_List_Otranspose__rel @t14))) % 54.75/54.95 (define @t6249 () (@list @t6137 @t14)) % 54.75/54.95 (define @t6250 () (tptp.hAPP @t6244 @t434)) % 54.75/54.95 (define @t6251 () (tptp.hAPP @t6193 @t6173)) % 54.75/54.95 (define @t6252 () (tptp.hBOOL (tptp.hAPP @t1536 @t6243))) % 54.75/54.95 (define @t6253 () (tptp.hAPP (tptp.c_List_Omap @t5039 tptp.tc_Nat_Onat) @t5597)) % 54.75/54.95 (define @t6254 () (tptp.c_List_Orev tptp.tc_Nat_Onat)) % 54.75/54.95 (define @t6255 () (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6254 (tptp.hAPP @t6253 @t5451)))) % 54.75/54.95 (define @t6256 () (@list @t434 @t5451 @t14)) % 54.75/54.95 (define @t6257 () (tptp.hAPP @t6170 @t6137)) % 54.75/54.95 (define @t6258 () (tptp.c_List_Omap @t5039 @t5039)) % 54.75/54.95 (define @t6259 () (tptp.c_List_Oconcat @t14 (tptp.hAPP (tptp.hAPP @t6258 (tptp.c_List_Olist_Olist__case @t5039 @t14 @t5778 (tptp.hAPP (tptp.hAPP @t6024 (tptp.c_COMBK @t5039 @t5039)) @t5809))) @t6137))) % 54.75/54.95 (define @t6260 () (tptp.c_List_Orev @t14)) % 54.75/54.95 (define @t6261 () (tptp.c_List_Oconcat @t14 @t5451)) % 54.75/54.95 (define @t6262 () (tptp.c_List_Oconcat @t14 @t6137)) % 54.75/54.95 (define @t6263 () (tptp.c_List_Orev @t289)) % 54.75/54.95 (define @t6264 () (tptp.hAPP @t6263 @t5552)) % 54.75/54.95 (define @t6265 () (tptp.hAPP @t6260 @t5453)) % 54.75/54.95 (define @t6266 () (tptp.hAPP @t6260 @t5451)) % 54.75/54.95 (define @t6267 () (tptp.c_List_Oconcat @t289 @t5552)) % 54.75/54.95 (define @t6268 () (= @t5451 @t5798)) % 54.75/54.95 (define @t6269 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6181 (tptp.hAPP @t6179 @t6137))) @t6178))) % 54.75/54.95 (define @t6270 () (tptp.hAPP (tptp.c_List_Orev @t420) @t5451)) % 54.75/54.95 (define @t6271 () (tptp.hAPP @t6032 @t510)) % 54.75/54.95 (define @t6272 () (@list @t5552 @t510 @t289)) % 54.75/54.95 (define @t6273 () (tptp.c_List_Oconcat @t5039 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t5039 @t6171) (tptp.c_List_Olist_Olist__case @t6171 @t14 @t6182 (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun @t5039 @t6171) @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t6171 @t6171) @t6246) @t6182)))) @t6137))) % 54.75/54.95 (define @t6274 () (tptp.hAPP (tptp.hAPP @t6246 @t5693) @t6137)) % 54.75/54.95 (define @t6275 () (= (tptp.c_List_Otranspose @t14 @t6274) (tptp.hAPP (tptp.hAPP @t6246 (tptp.hAPP @t5692 @t6259)) (tptp.c_List_Otranspose @t14 (tptp.hAPP (tptp.hAPP @t6246 @t5451) @t6273))))) % 54.75/54.95 (define @t6276 () (@list @t6137 @t5451 @t16 @t14)) % 54.75/54.95 (define @t6277 () (= @t6261 (tptp.c_List_Oconcat @t14 @t5453))) % 54.75/54.95 (define @t6278 () (= @t6243 (tptp.hAPP @t6172 @t5453))) % 54.75/54.95 (define @t6279 () (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 @t4) (tptp.hAPP (tptp.c_List_Oset @t5042) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t5039 @t5039) @t5451) @t5453)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5653 @t5644) @t4))))) % 54.75/54.95 (define @t6280 () (tptp.c_List_Ofoldr @t14 @t14 @t2630 @t5451 @t659)) % 54.75/54.95 (define @t6281 () (@var "T_1" $$unsorted)) % 54.75/54.95 (define @t6282 () (@var "T_2" $$unsorted)) % 54.75/54.95 (define @t6283 () (tptp.tc_fun @t6282 @t6281)) % 54.75/54.95 (define @t6284 () (tptp.class_Lattices_Obounded__lattice @t6281)) % 54.75/54.95 (define @t6285 () (@list @t6282 @t6281)) % 54.75/54.95 (define @t6286 () (tptp.class_Lattices_Olattice @t6281)) % 54.75/54.95 (define @t6287 () (tptp.class_Finite__Set_Ofinite @t6281)) % 54.75/54.95 (define @t6288 () (and (tptp.class_Finite__Set_Ofinite @t6282) @t6287)) % 54.75/54.95 (define @t6289 () (@list @t6281 @t6282)) % 54.75/54.95 (define @t6290 () (tptp.tc_prod @t6282 @t6281)) % 54.75/54.95 (define @t6291 () (@var "V_Q" $$unsorted)) % 54.75/54.95 (define @t6292 () (tptp.hAPP @t2599 @t2461)) % 54.75/54.95 (define @t6293 () (tptp.hAPP @t87 @t2461)) % 54.75/54.95 (define @t6294 () (@list @t2461 @t2599 @t87 @t14 @t579 @t420)) % 54.75/54.95 (define @t6295 () (tptp.hBOOL (tptp.hAPP @t2759 @t659))) % 54.75/54.95 (define @t6296 () (tptp.hBOOL @t87)) % 54.75/54.95 (define @t6297 () (not @t6296)) % 54.75/54.95 (define @t6298 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t87))) % 54.75/54.95 (define @t6299 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t87) @t2599))) % 54.75/54.95 (define @t6300 () (tptp.hBOOL @t2599)) % 54.75/54.95 (define @t6301 () (not @t6300)) % 54.75/54.95 (define @t6302 () (@list @t2599 @t87)) % 54.75/54.95 (define @t6303 () (not @t6299)) % 54.75/54.95 (define @t6304 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj @t87) @t2599))) % 54.75/54.95 (define @t6305 () (@list @t87 @t2599)) % 54.75/54.95 (define @t6306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies @t87) @t2599))) % 54.75/54.95 (define @t6307 () (tptp.v_Q @t3970 @t3969)) % 54.75/54.95 (define @t6308 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pn)) % 54.75/54.95 (define @t6309 () (tptp.c_Natural_Oevaln @t6308 @t3971 @t19 @t3969)) % 54.75/54.95 (define @t6310 () (forall @t3972 (=> @t6309 @t6307))) % 54.75/54.95 (define @t6311 () (tptp.v_P @t3970 @t3971)) % 54.75/54.95 (define @t6312 () (=> @t6311 @t6310)) % 54.75/54.95 (define @t6313 () (forall @t3973 @t6312)) % 54.75/54.95 (define @t6314 () (not @t6313)) % 54.75/54.95 (define @t6315 () (not @t278)) % 54.75/54.95 (define @t6316 () (or @t6315 @t276)) % 54.75/54.95 (define @t6317 () (forall @t177 @t6316)) % 54.75/54.95 (define @t6318 () (not @t6317)) % 54.75/54.95 (define @t6319 () (not @t281)) % 54.75/54.95 (define @t6320 () (or @t6319 @t6318)) % 54.75/54.95 (define @t6321 () (@var "BOUND_VARIABLE_75178" $$unsorted)) % 54.75/54.95 (define @t6322 () (tptp.v_Q @t3970 @t6321)) % 54.75/54.95 (define @t6323 () (not (tptp.c_Natural_Oevaln @t6308 @t3971 @t19 @t6321))) % 54.75/54.95 (define @t6324 () (not @t6311)) % 54.75/54.95 (define @t6325 () (or @t6324 @t6323 @t6322)) % 54.75/54.95 (define @t6326 () (@list @t3970 @t3971 @t6321)) % 54.75/54.95 (define @t6327 () (forall @t6326 @t6325)) % 54.75/54.95 (define @t6328 () (@quantifiers_skolemize @t6327 1)) % 54.75/54.95 (define @t6329 () (@quantifiers_skolemize @t6327 2)) % 54.75/54.95 (define @t6330 () (or @t6323 @t6322)) % 54.75/54.95 (define @t6331 () (or @t6324 @t6330)) % 54.75/54.95 (define @t6332 () (forall @t6326 @t6331)) % 54.75/54.95 (define @t6333 () (@list @t6321)) % 54.75/54.95 (define @t6334 () (forall @t6333 @t6331)) % 54.75/54.95 (define @t6335 () (forall @t6333 @t6330)) % 54.75/54.95 (define @t6336 () (or @t6324 @t6335)) % 54.75/54.95 (define @t6337 () (forall @t3972 (or (not @t6309) @t6307))) % 54.75/54.95 (define @t6338 () (tptp.c_Natural_Oevaln @t6308 @t6328 @t19 @t6329)) % 54.75/54.95 (define @t6339 () (@quantifiers_skolemize @t6327 0)) % 54.75/54.95 (define @t6340 () (not @t6338)) % 54.75/54.95 (define @t6341 () (or (not (tptp.v_P @t6339 @t6328)) @t6340 (tptp.v_Q @t6339 @t6329))) % 54.75/54.95 (define @t6342 () (@list true)) % 54.75/54.95 (define @t6343 () (tptp.hAPP @t221 (tptp.hAPP @t5430 tptp.v_pn))) % 54.75/54.95 (define @t6344 () (forall @t177 (or (not (= @t19 @t277)) (not (tptp.c_Natural_Oevaln @t6343 @t6328 @t176 @t6329))))) % 54.75/54.95 (define @t6345 () (not @t6344)) % 54.75/54.95 (define @t6346 () (or @t6340 @t6345)) % 54.75/54.95 (define @t6347 () (@list false false)) % 54.75/54.95 (define @t6348 () (@quantifiers_skolemize @t6344 0)) % 54.75/54.95 (define @t6349 () (= @t19 (tptp.hAPP tptp.c_Nat_OSuc @t6348))) % 54.75/54.95 (define @t6350 () (not @t6349)) % 54.75/54.95 (define @t6351 () (or @t6350 (not (tptp.c_Natural_Oevaln @t6343 @t6328 @t6348 @t6329)))) % 54.75/54.95 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 54.75/54.95 (assume @p2 (forall (@list @t9 @t10) (= (= @t13 @t12) @t11))) % 54.75/54.95 (assume @p3 (forall @t18 (=> (tptp.class_Groups_Ozero @t14) (= (= @t15 @t16) @t17)))) % 54.75/54.95 (assume @p4 (forall @t22 (= (tptp.c_Com_Ocom_Ocom__size @t21) @t19))) % 54.75/54.95 (assume @p5 (forall @t22 (= (tptp.hAPP @t23 @t21) @t19))) % 54.75/54.95 (assume @p6 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t19)) % 54.75/54.95 (assume @p7 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t19)) % 54.75/54.95 (assume @p8 (forall @t25 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_String_Oliteral) @t24) @t19))) % 54.75/54.95 (assume @p9 (forall @t27 (= (tptp.c_String_Ochar_Ochar__size @t26) @t19))) % 54.75/54.95 (assume @p10 (= (tptp.c_Nat_Onat_Onat__size @t19) @t19)) % 54.75/54.95 (assume @p11 (= (tptp.hAPP @t28 tptp.c_fTrue) @t19)) % 54.75/54.95 (assume @p12 (= (tptp.hAPP @t28 tptp.c_fFalse) @t19)) % 54.75/54.95 (assume @p13 (forall @t27 (= (tptp.hAPP @t29 @t26) @t19))) % 54.75/54.95 (assume @p14 (= (tptp.hAPP @t23 tptp.c_Com_Ocom_OSKIP) @t19)) % 54.75/54.95 (assume @p15 (= (tptp.c_Com_Ocom_Ocom__size tptp.c_Com_Ocom_OSKIP) @t19)) % 54.75/54.95 (assume @p16 (forall @t33 (= (tptp.c_String_Ochar_Ochar__size @t32) @t19))) % 54.75/54.95 (assume @p17 (= (tptp.hAPP @t34 @t19) @t19)) % 54.75/54.95 (assume @p18 (forall @t38 (= (tptp.c_Com_Ocom_Ocom__size @t37) @t19))) % 54.75/54.95 (assume @p19 (forall @t38 (= (tptp.hAPP @t23 @t37) @t19))) % 54.75/54.95 (assume @p20 (forall @t40 (= (tptp.c_Com_Ocom_Ocom__size @t39) @t19))) % 54.75/54.95 (assume @p21 (forall @t40 (= (tptp.hAPP @t23 @t39) @t19))) % 54.75/54.95 (assume @p22 (forall @t50 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t13) @t42))) % 54.75/54.95 (assume @p23 (forall (@list @t51 @t52 @t54 @t2 @t14) (=> (tptp.c_Groups_Osemigroup @t14 @t2) (= (tptp.hAPP (tptp.hAPP @t2 @t56) @t51) (tptp.hAPP @t55 (tptp.hAPP @t53 @t51)))))) % 54.75/54.95 (assume @p24 (forall (@list @t54 @t57 @t2 @t14) (=> (tptp.c_Groups_Ocomm__monoid @t14 @t2 @t57) (= (tptp.hAPP @t55 @t57) @t54)))) % 54.75/54.95 (assume @p25 (forall @t61 (not (= tptp.c_Com_Ocom_OSKIP @t60)))) % 54.75/54.95 (assume @p26 (forall @t63 (not (= tptp.c_Com_Ocom_OSKIP @t62)))) % 54.75/54.95 (assume @p27 (forall @t61 (not (= @t60 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p28 (forall (@list @t58 @t9 @t59 @t35 @t36) (not (= @t39 @t62)))) % 54.75/54.95 (assume @p29 (forall @t63 (not (= @t62 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p30 (forall (@list @t35 @t36 @t58 @t9 @t59) (not (= @t62 @t39)))) % 54.75/54.95 (assume @p31 (forall (@list @t58 @t59 @t35 @t36) (= (= @t39 @t60) (and @t65 @t64)))) % 54.75/54.95 (assume @p32 (forall (@list @t66 @t68 @t67 @t69) (= (= @t70 (tptp.hAPP (tptp.hAPP tptp.c_String_Ochar_OChar @t68) @t66)) (and (= @t69 @t68) (= @t67 @t66))))) % 54.75/54.95 (assume @p33 (forall (@list @t58 @t9 @t59 @t35 @t10 @t36) (= (= @t37 @t62) (and @t65 @t11 @t64)))) % 54.75/54.95 (assume @p34 (forall @t71 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 tptp.c_Com_Ocom_OSKIP) @t49))) % 54.75/54.95 (assume @p35 (forall @t73 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t39) @t72))) % 54.75/54.95 (assume @p36 (forall @t75 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t37) @t74))) % 54.75/54.95 (assume @p37 (forall @t77 (= (tptp.hAPP @t34 @t76) @t76))) % 54.75/54.95 (assume @p38 (forall @t33 (= (tptp.hAPP @t29 @t32) @t19))) % 54.75/54.95 (assume @p39 (forall (@list @t35 @t36 @t9) (not (= @t12 @t39)))) % 54.75/54.95 (assume @p40 (forall (@list @t9 @t35 @t36) (not (= @t39 @t12)))) % 54.75/54.95 (assume @p41 (forall (@list @t58 @t9 @t59 @t10) (not (= @t13 @t62)))) % 54.75/54.95 (assume @p42 (forall (@list @t10 @t58 @t9 @t59) (not (= @t62 @t13)))) % 54.75/54.95 (assume @p43 (forall @t80 (not (= tptp.c_Com_Ocom_OSKIP @t79)))) % 54.75/54.95 (assume @p44 (forall @t80 (not (= @t79 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p45 (forall (@list @t76 @t24) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t24 @t76 @t24))) % 54.75/54.95 (assume @p46 (forall (@list @t81 @t76 @t24) (=> (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t24 @t76 @t81) @t82))) % 54.75/54.95 (assume @p47 (forall (@list @t84 @t83) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t83 @t84 @t83))) % 54.75/54.95 (assume @p48 (forall @t86 (= (tptp.c_String_Ochar_Ochar__rec @t14 @t49 @t70) @t85))) % 54.75/54.95 (assume @p49 (forall @t86 (= (tptp.c_String_Ochar_Ochar__case @t14 @t49 @t70) @t85))) % 54.75/54.95 (assume @p50 (forall (@list @t54 @t87 @t89) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t90)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t88))))) % 54.75/54.95 (assume @p51 (forall (@list @t54 @t89 @t91) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t93)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t92))))) % 54.75/54.95 (assume @p52 (forall (@list @t96 @t94 @t97) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t97 @t94 @t96))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t95))))) % 54.75/54.95 (assume @p53 (forall (@list @t102 @t98 @t54 @t89) (tptp.c_Natural_Oevaln @t103 @t98 @t102 @t101))) % 54.75/54.95 (assume @p54 (forall (@list @t104 @t102 @t98 @t54 @t89) (=> (tptp.c_Natural_Oevaln @t103 @t98 @t102 @t104) @t105))) % 54.75/54.95 (assume @p55 (forall @t71 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 tptp.c_Com_Ocom_OSKIP) @t49))) % 54.75/54.95 (assume @p56 (forall @t75 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t37) @t74))) % 54.75/54.95 (assume @p57 (forall @t107 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t106)))) % 54.75/54.95 (assume @p58 (forall (@list @t54 @t89) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t103)))) % 54.75/54.95 (assume @p59 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP))) % 54.75/54.95 (assume @p60 (forall @t110 (tptp.c_Natural_Oevaln @t106 @t96 @t109 @t108))) % 54.75/54.95 (assume @p61 (forall @t50 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t13) @t42))) % 54.75/54.95 (assume @p62 (forall @t73 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t39) @t72))) % 54.75/54.95 (assume @p63 (forall (@list @t98 @t54 @t89) (tptp.hBOOL (tptp.hAPP @t111 @t101)))) % 54.75/54.95 (assume @p64 (forall (@list @t104 @t98 @t54 @t89) (=> (tptp.hBOOL (tptp.hAPP @t111 @t104)) @t105))) % 54.75/54.95 (assume @p65 (forall @t112 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t106) @t96) @t108)))) % 54.75/54.95 (assume @p66 (forall (@list @t113 @t114) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t116)) (not (=> @t115 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t113)))))))) % 54.75/54.95 (assume @p67 (forall (@list @t117 @t114 @t121 @t76 @t118 @t119) (=> (tptp.c_Natural_Oevaln @t119 @t118 @t76 @t121) (=> (tptp.c_Natural_Oevaln @t114 @t121 @t76 @t117) (tptp.c_Natural_Oevaln @t120 @t118 @t76 @t117))))) % 54.75/54.95 (assume @p68 (forall @t126 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t125) @t124))) % 54.75/54.95 (assume @p69 (forall (@list @t127 @t128 @t52) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t130)) (not (=> @t129 (not (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t127)))))))) % 54.75/54.95 (assume @p70 (forall (@list @t104 @t102 @t98 @t127 @t128 @t52) (=> (tptp.c_Natural_Oevaln @t130 @t98 @t102 @t104) (=> (=> @t131 (not (tptp.c_Natural_Oevaln @t128 @t98 @t102 @t104))) (not (=> @t132 (not (tptp.c_Natural_Oevaln @t127 @t98 @t102 @t104)))))))) % 54.75/54.95 (assume @p71 (forall (@list @t128 @t133 @t102 @t134 @t98 @t52) (=> @t131 (=> (tptp.c_Natural_Oevaln @t134 @t98 @t102 @t133) @t136)))) % 54.75/54.95 (assume @p72 (forall (@list @t134 @t133 @t102 @t128 @t98 @t52) (=> @t132 (=> (tptp.c_Natural_Oevaln @t128 @t98 @t102 @t133) @t136)))) % 54.75/54.95 (assume @p73 (forall (@list @t51 @t54 @t138) (=> @t140 @t137))) % 54.75/54.95 (assume @p74 (forall @t143 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t142) @t141))) % 54.75/54.95 (assume @p75 (forall (@list @t134 @t133 @t128 @t98 @t52) (=> @t132 (=> (tptp.hBOOL (tptp.hAPP @t145 @t133)) @t144)))) % 54.75/54.95 (assume @p76 (forall (@list @t128 @t133 @t134 @t98 @t52) (=> @t131 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t134) @t98) @t133)) @t144)))) % 54.75/54.95 (assume @p77 (forall (@list @t104 @t98 @t127 @t128 @t52) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t130) @t98) @t104)) (=> (=> @t131 (not (tptp.hBOOL (tptp.hAPP @t145 @t104)))) (not (=> @t132 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t127) @t98) @t104))))))))) % 54.75/54.95 (assume @p78 (forall (@list @t117 @t114 @t121 @t118 @t119) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t119) @t118) @t121)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t146 @t121) @t117)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t120) @t118) @t117)))))) % 54.75/54.95 (assume @p79 (forall @t149 (=> (tptp.hBOOL (tptp.hAPP @t148 @t81)) @t82))) % 54.75/54.95 (assume @p80 (forall @t25 (tptp.hBOOL (tptp.hAPP @t148 @t24)))) % 54.75/54.95 (assume @p81 (forall (@list @t150 @t97 @t109 @t94) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi @t94 @t109)) @t97) @t150)) (exists @t153 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t152 @t97) @t151)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t109) @t151) @t150))))))) % 54.75/54.95 (assume @p82 (forall (@list @t109 @t97 @t150 @t96 @t94) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t94 @t96 @t150)) @t97) @t109)) (or (and @t155 @t158) (and @t156 @t154))))) % 54.75/54.95 (assume @p83 (forall (@list @t109 @t97 @t96 @t150 @t94) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCond @t94 @t150 @t96)) @t97) @t109)) (or (and @t155 @t154) (and @t156 @t158))))) % 54.75/54.95 (assume @p84 (forall (@list @t159 @t81 @t24 @t26) (=> @t161 (=> (tptp.hBOOL (tptp.hAPP @t160 @t159)) (= @t159 @t81))))) % 54.75/54.95 (assume @p85 (forall (@list @t162 @t163 @t58 @t122 @t123) (not (= @t125 @t164)))) % 54.75/54.95 (assume @p86 (forall (@list @t165 @t35 @t166 @t162 @t163) (not (= @t168 @t167)))) % 54.75/54.95 (assume @p87 (forall (@list @t122 @t123 @t162 @t163 @t58) (not (= @t164 @t125)))) % 54.75/54.95 (assume @p88 (forall (@list @t162 @t163 @t165 @t35 @t166) (not (= @t167 @t168)))) % 54.75/54.95 (assume @p89 (forall (@list @t165 @t35 @t166 @t162 @t163 @t58) (not (= @t164 @t167)))) % 54.75/54.95 (assume @p90 (forall (@list @t162 @t163 @t58 @t165 @t35 @t166) (not (= @t167 @t164)))) % 54.75/54.95 (assume @p91 (forall (@list @t162 @t163 @t122 @t123) (= (= @t125 @t168) (and @t170 @t169)))) % 54.75/54.95 (assume @p92 (forall (@list @t162 @t163 @t58 @t122 @t123 @t35) (= (= @t142 @t164) (and @t64 @t170 @t169)))) % 54.75/54.95 (assume @p93 (forall (@list @t171 @t58 @t173 @t165 @t35 @t166) (= (= @t167 @t175) (and @t174 @t64 @t172)))) % 54.75/54.95 (assume @p94 (forall (@list @t104 @t98 @t51) (= (tptp.hBOOL (tptp.hAPP @t179 @t104)) (exists @t177 (tptp.c_Natural_Oevaln @t51 @t98 @t176 @t104))))) % 54.75/54.95 (assume @p95 (forall (@list @t81 @t76 @t24 @t26) (=> @t180 @t161))) % 54.75/54.95 (assume @p96 (forall @t182 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t181) @t181)))) % 54.75/54.95 (assume @p97 (forall (@list @t94 @t96 @t97) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t97 @t96 @t94))) @t183))) % 54.75/54.95 (assume @p98 (forall (@list @t54 @t138 @t51) (=> @t137 @t140))) % 54.75/54.95 (assume @p99 (forall (@list @t150 @t109 @t97 @t184 @t96 @t94) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t94 @t96 @t184) @t97 @t109 @t150) (or (and @t155 @t186) (and @t156 @t185))))) % 54.75/54.95 (assume @p100 (forall (@list @t150 @t109 @t97 @t96 @t184 @t94) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCond @t94 @t184 @t96) @t97 @t109 @t150) (or (and @t155 @t185) (and @t156 @t186))))) % 54.75/54.95 (assume @p101 (forall (@list @t165 @t35 @t166 @t9) (not (= @t12 @t167)))) % 54.75/54.95 (assume @p102 (forall (@list @t9 @t165 @t35 @t166) (not (= @t167 @t12)))) % 54.75/54.95 (assume @p103 (forall (@list @t97 @t94 @t96) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OCond @t96 @t94 @t97))) @t187))) % 54.75/54.95 (assume @p104 (forall (@list @t52 @t128 @t134) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t134)) (=> @t129 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t135)))))) % 54.75/54.95 (assume @p105 (forall (@list @t122 @t123 @t35 @t9) (not (= @t12 @t142)))) % 54.75/54.95 (assume @p106 (forall (@list @t9 @t122 @t123 @t35) (not (= @t142 @t12)))) % 54.75/54.95 (assume @p107 (forall (@list @t184 @t96 @t97 @t150 @t94) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi @t94 @t150) @t97 @t96 @t184) (exists @t153 (and (tptp.c_Natural_Oevaln @t94 @t97 @t96 @t151) (tptp.c_Natural_Oevaln @t150 @t151 @t96 @t184)))))) % 54.75/54.95 (assume @p108 (forall (@list @t171 @t58 @t173 @t35 @t36) (not (= @t39 @t175)))) % 54.75/54.95 (assume @p109 (forall (@list @t35 @t36 @t171 @t58 @t173) (not (= @t175 @t39)))) % 54.75/54.95 (assume @p110 (forall (@list @t165 @t35 @t166 @t58 @t9 @t59) (not (= @t62 @t167)))) % 54.75/54.95 (assume @p111 (forall (@list @t58 @t9 @t59 @t165 @t35 @t166) (not (= @t167 @t62)))) % 54.75/54.95 (assume @p112 (forall @t188 (not (= tptp.c_Com_Ocom_OSKIP @t175)))) % 54.75/54.95 (assume @p113 (forall @t188 (not (= @t175 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p114 (forall @t107 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t94 @t97))) @t187))) % 54.75/54.95 (assume @p115 (forall (@list @t114 @t119) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t119)) (=> @t115 (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t120)))))) % 54.75/54.95 (assume @p116 (forall (@list @t162 @t163 @t58 @t35 @t36) (not (= @t39 @t164)))) % 54.75/54.95 (assume @p117 (forall (@list @t35 @t36 @t162 @t163 @t58) (not (= @t164 @t39)))) % 54.75/54.95 (assume @p118 (forall (@list @t122 @t123 @t35 @t58 @t9 @t59) (not (= @t62 @t142)))) % 54.75/54.95 (assume @p119 (forall (@list @t58 @t9 @t59 @t122 @t123 @t35) (not (= @t142 @t62)))) % 54.75/54.95 (assume @p120 (forall @t189 (not (= tptp.c_Com_Ocom_OSKIP @t164)))) % 54.75/54.95 (assume @p121 (forall @t189 (not (= @t164 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p122 (forall (@list @t190 @t191 @t78) (not (= @t79 @t192)))) % 54.75/54.95 (assume @p123 (forall (@list @t78 @t190 @t191) (not (= @t192 @t79)))) % 54.75/54.95 (assume @p124 (forall (@list @t162 @t163 @t35 @t36) (not (= @t39 @t168)))) % 54.75/54.95 (assume @p125 (forall (@list @t35 @t36 @t162 @t163) (not (= @t168 @t39)))) % 54.75/54.95 (assume @p126 (forall (@list @t58 @t9 @t59 @t122 @t123) (not (= @t125 @t62)))) % 54.75/54.95 (assume @p127 (forall (@list @t122 @t123 @t58 @t9 @t59) (not (= @t62 @t125)))) % 54.75/54.95 (assume @p128 (forall @t196 (not (= tptp.c_Com_Ocom_OSKIP @t195)))) % 54.75/54.95 (assume @p129 (forall @t196 (not (= @t195 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.95 (assume @p130 (forall @t199 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t167) (tptp.hAPP @t198 @t197)))) % 54.75/54.95 (assume @p131 (forall @t143 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t142) (tptp.hAPP (tptp.hAPP @t141 @t201) @t200)))) % 54.75/54.95 (assume @p132 (forall @t126 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t125) (tptp.hAPP (tptp.hAPP @t124 @t201) @t200)))) % 54.75/54.95 (assume @p133 (forall @t199 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t167) @t198))) % 54.75/54.95 (assume @p134 (forall (@list @t81 @t24 @t113 @t114) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t116) @t24) @t81)) (not (forall @t153 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t146 @t24) @t151)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t113) @t151) @t81))))))))) % 54.75/54.95 (assume @p135 (forall (@list @t81 @t76 @t24 @t113 @t114) (=> (tptp.c_Natural_Oevaln @t116 @t24 @t76 @t81) (not (forall @t153 (=> (tptp.c_Natural_Oevaln @t114 @t24 @t76 @t151) (not (tptp.c_Natural_Oevaln @t113 @t151 @t76 @t81)))))))) % 54.75/54.95 (assume @p136 (forall (@list @t81 @t24 @t26) (=> @t161 (exists @t177 (tptp.c_Natural_Oevaln @t26 @t24 @t176 @t81))))) % 54.75/54.95 (assume @p137 (forall (@list @t133 @t54 @t138 @t202 @t51) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t208) @t133)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t206 @t202) @t205))))) % 54.75/54.95 (assume @p138 (forall (@list @t133 @t102 @t54 @t138 @t202 @t51) (=> (tptp.c_Natural_Oevaln @t51 @t208 @t102 @t133) (tptp.c_Natural_Oevaln @t139 @t202 @t102 @t205)))) % 54.75/54.95 (assume @p139 (forall (@list @t150 @t97 @t94 @t109 @t96) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t216) @t97) @t215)) (exists @t153 (and (= @t215 @t214) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t152 @t210) @t151))))))) % 54.75/54.95 (assume @p140 (forall (@list @t184 @t150 @t97 @t94 @t109 @t96) (= (tptp.c_Natural_Oevaln @t216 @t97 @t150 @t217) (exists @t153 (and (= @t217 @t214) (tptp.c_Natural_Oevaln @t94 @t210 @t150 @t151)))))) % 54.75/54.96 (assume @p141 (forall (@list @t121 @t118 @t218) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t222) @t118) @t121)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t219) @t118) @t121))))) % 54.75/54.96 (assume @p142 (forall (@list @t121 @t24 @t223) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t226) @t24) @t121)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t225) @t24) @t121))))) % 54.75/54.96 (assume @p143 (forall (@list @t51 @t52) (=> @t228 @t137))) % 54.75/54.96 (assume @p144 (forall (@list @t51 @t98 @t52) (=> @t132 (tptp.hBOOL (tptp.hAPP @t230 @t98))))) % 54.75/54.96 (assume @p145 (forall (@list @t231 @t133 @t51 @t202 @t52) (=> @t232 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t202) @t133)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t229 @t133) @t231)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t229 @t202) @t231))))))) % 54.75/54.96 (assume @p146 (forall (@list @t231 @t133 @t102 @t51 @t202 @t52) (=> @t232 (=> (tptp.c_Natural_Oevaln @t51 @t202 @t102 @t133) (=> (tptp.c_Natural_Oevaln @t227 @t133 @t102 @t231) (tptp.c_Natural_Oevaln @t227 @t202 @t102 @t231)))))) % 54.75/54.96 (assume @p147 (forall (@list @t102 @t51 @t98 @t52) (=> @t132 (tptp.c_Natural_Oevaln @t227 @t98 @t102 @t98)))) % 54.75/54.96 (assume @p148 (forall (@list @t171 @t58 @t165 @t35) (= (= @t234 @t233) (and @t64 @t172)))) % 54.75/54.96 (assume @p149 (forall (@list @t173 @t166) (= (= @t235 (tptp.c_Com_Ovname_OLoc @t173)) @t174))) % 54.75/54.96 (assume @p150 (forall (@list @t184 @t109 @t97 @t96 @t94) (= (tptp.c_Natural_Oevaln @t236 @t97 @t109 @t184) (or (and (= @t184 @t97) @t156) (and @t155 (exists @t153 (and @t237 (tptp.c_Natural_Oevaln @t236 @t151 @t109 @t184)))))))) % 54.75/54.96 (assume @p151 (forall (@list @t109 @t97 @t96 @t94) (= (tptp.c_Natural_Oevaln @t236 @t97 @t109 @t97) (=> @t155 (exists @t153 (and @t237 (tptp.c_Natural_Oevaln @t236 @t151 @t109 @t97))))))) % 54.75/54.96 (assume @p152 (forall (@list @t150 @t97 @t96 @t94) (= (tptp.hBOOL (tptp.hAPP @t241 @t150)) (or (and (= @t150 @t97) @t156) (and @t155 (exists @t153 (and @t240 (tptp.hBOOL (tptp.hAPP @t239 @t150))))))))) % 54.75/54.96 (assume @p153 (forall (@list @t97 @t96 @t94) (= (tptp.hBOOL (tptp.hAPP @t241 @t97)) (=> @t155 (exists @t153 (and @t240 (tptp.hBOOL (tptp.hAPP @t239 @t97)))))))) % 54.75/54.96 (assume @p154 (forall (@list @t52 @t51) (=> @t137 @t228))) % 54.75/54.96 (assume @p155 (forall (@list @t94 @t97) (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.c_Com_Ocom_OWhile @t97 @t94))) @t183))) % 54.75/54.96 (assume @p156 (forall (@list @t9 @t165 @t35) (not (= @t234 @t12)))) % 54.75/54.96 (assume @p157 (forall (@list @t165 @t35 @t9) (not (= @t12 @t234)))) % 54.75/54.96 (assume @p158 (forall (@list @t171 @t58 @t122 @t123 @t35) (not (= @t142 @t233)))) % 54.75/54.96 (assume @p159 (forall (@list @t122 @t123 @t35 @t171 @t58) (not (= @t233 @t142)))) % 54.75/54.96 (assume @p160 (forall (@list @t35 @t36 @t171 @t58) (not (= @t233 @t39)))) % 54.75/54.96 (assume @p161 (forall (@list @t171 @t58 @t35 @t36) (not (= @t39 @t233)))) % 54.75/54.96 (assume @p162 (forall (@list @t165 @t35 @t58 @t9 @t59) (not (= @t62 @t234)))) % 54.75/54.96 (assume @p163 (forall (@list @t58 @t9 @t59 @t165 @t35) (not (= @t234 @t62)))) % 54.75/54.96 (assume @p164 (forall (@list @t171 @t58 @t165 @t35 @t166) (not (= @t167 @t233)))) % 54.75/54.96 (assume @p165 (forall (@list @t165 @t35 @t166 @t171 @t58) (not (= @t233 @t167)))) % 54.75/54.96 (assume @p166 (forall (@list @t122 @t123 @t171 @t58) (not (= @t233 @t125)))) % 54.75/54.96 (assume @p167 (forall (@list @t171 @t58 @t122 @t123) (not (= @t125 @t233)))) % 54.75/54.96 (assume @p168 (forall @t242 (not (= @t233 tptp.c_Com_Ocom_OSKIP)))) % 54.75/54.96 (assume @p169 (forall @t242 (not (= tptp.c_Com_Ocom_OSKIP @t233)))) % 54.75/54.96 (assume @p170 (forall @t244 (= (tptp.c_Com_Ocom_Ocom__rec @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t234) (tptp.hAPP @t243 @t197)))) % 54.75/54.96 (assume @p171 (forall @t112 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t97) @t96)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t245) @t97) @t96))))) % 54.75/54.96 (assume @p172 (forall @t244 (= (tptp.c_Com_Ocom_Ocom__case @t14 @t49 @t48 @t47 @t46 @t45 @t44 @t41 @t43 @t234) @t243))) % 54.75/54.96 (assume @p173 (forall @t249 (= (tptp.c_Com_Ovname_Ovname__size @t248) @t19))) % 54.75/54.96 (assume @p174 (forall (@list @t104 @t98 @t51 @t54 @t138) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t206 @t98) @t104)) (not (forall @t153 (=> @t252 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t250) @t151))))))))) % 54.75/54.96 (assume @p175 (forall (@list @t104 @t102 @t98 @t51 @t54 @t138) (=> (tptp.c_Natural_Oevaln @t139 @t98 @t102 @t104) (not (forall @t153 (=> @t252 (not (tptp.c_Natural_Oevaln @t51 @t250 @t102 @t151)))))))) % 54.75/54.96 (assume @p176 (forall @t249 (= (tptp.hAPP @t253 @t248) @t19))) % 54.75/54.96 (assume @p177 (forall (@list @t121 @t76 @t118 @t218) (=> (tptp.c_Natural_Oevaln @t222 @t118 @t76 @t121) (tptp.c_Natural_Oevaln @t219 @t118 @t254 @t121)))) % 54.75/54.96 (assume @p178 (forall @t256 (= (tptp.c_Com_Ovname_Ovname__case @t14 @t49 @t48 @t235) @t255))) % 54.75/54.96 (assume @p179 (forall @t256 (= (tptp.c_Com_Ovname_Ovname__rec @t14 @t49 @t48 @t235) @t255))) % 54.75/54.96 (assume @p180 (forall @t110 (= (tptp.c_Natural_Oevaln @t95 @t97 (tptp.hAPP tptp.c_Nat_OSuc @t96) @t109) (tptp.c_Natural_Oevaln @t245 @t97 @t96 @t109)))) % 54.75/54.96 (assume @p181 (forall (@list @t218) (=> (not (= @t220 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t219))))) % 54.75/54.96 (assume @p182 (forall @t261 (= (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t54))) (exists @t260 (= (tptp.hAPP tptp.c_Com_Obody @t54) @t259))))) % 54.75/54.96 (assume @p183 (forall (@list @t89 @t133 @t54 @t202 @t91) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t93) @t264) @t133)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t92) @t202) @t262))))) % 54.75/54.96 (assume @p184 (forall (@list @t89 @t133 @t102 @t54 @t202 @t91) (=> (tptp.c_Natural_Oevaln @t93 @t264 @t102 @t133) (tptp.c_Natural_Oevaln @t92 @t202 @t102 @t262)))) % 54.75/54.96 (assume @p185 (forall (@list @t265 @t76 @t24 @t26) (=> (tptp.c_Natural_Oevaln @t26 @t24 @t76 @t265) (tptp.c_Natural_Oevaln @t26 @t24 @t254 @t265)))) % 54.75/54.96 (assume @p186 (forall (@list @t150 @t109 @t97 @t96 @t94 @t184) (= (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OCall @t184 @t94 @t96) @t97 @t109 @t270) (exists @t153 (and (= @t270 (tptp.hAPP (tptp.hAPP @t269 @t184) @t267)) (tptp.c_Natural_Oevaln @t95 @t266 @t109 @t151)))))) % 54.75/54.96 (assume @p187 (forall (@list @t109 @t97 @t96 @t94 @t150) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OCall @t150 @t94 @t96)) @t97) @t271)) (exists @t153 (and (= @t271 (tptp.hAPP (tptp.hAPP @t269 @t150) @t267)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t266) @t151))))))) % 54.75/54.96 (assume @p188 (forall (@list @t133 @t98 @t54 @t87 @t89) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t90) @t98) @t133)) (not (forall @t153 (=> @t273 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t88) @t272) @t151))))))))) % 54.75/54.96 (assume @p189 (forall (@list @t133 @t102 @t98 @t54 @t87 @t89) (=> (tptp.c_Natural_Oevaln @t90 @t98 @t102 @t133) (not (forall @t153 (=> @t273 (not (tptp.c_Natural_Oevaln @t88 @t272 @t102 @t151)))))))) % 54.75/54.96 (assume @p190 (forall (@list @t274 @t218) (=> tptp.c_Com_OWT__bodies (=> (= @t220 (tptp.hAPP @t258 @t274)) (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t274)))))) % 54.75/54.96 (assume @p191 @t284) % 54.75/54.96 (assume @p192 (forall @t287 (= (tptp.c_Option_Ooption_Ooption__size @t14 @t286 @t285) @t19))) % 54.75/54.96 (assume @p193 (forall (@list @t223) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Com_OWT @t226)) (not (forall @t260 (not (= @t224 @t259))))))) % 54.75/54.96 (assume @p194 (forall @t291 (= (tptp.hAPP (tptp.c_Option_Othe @t289) (tptp.hAPP @t290 @t288)) @t288))) % 54.75/54.96 (assume @p195 (forall @t295 (= (not @t294) (exists @t260 @t293)))) % 54.75/54.96 (assume @p196 (forall @t295 (= (forall @t260 (not @t293)) @t294))) % 54.75/54.96 (assume @p197 (forall @t299 (not (= @t298 @t296)))) % 54.75/54.96 (assume @p198 (forall (@list @t300 @t54 @t14) (= (= @t302 (tptp.hAPP @t292 @t300)) @t301))) % 54.75/54.96 (assume @p199 (forall @t299 (not (= @t296 @t298)))) % 54.75/54.96 (assume @p200 (forall @t304 (= (tptp.hAPP @t303 (tptp.hAPP @t290 @t181)) @t19))) % 54.75/54.96 (assume @p201 (forall @t305 (= (tptp.hAPP @t303 @t296) @t19))) % 54.75/54.96 (assume @p202 (forall @t308 (not (= @t307 @t19)))) % 54.75/54.96 (assume @p203 @t309) % 54.75/54.96 (assume @p204 (forall (@list @t310) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t310) @t19)))) % 54.75/54.96 (assume @p205 (forall (@list @t311) (not (= @t19 (tptp.hAPP tptp.c_Nat_OSuc @t311))))) % 54.75/54.96 (assume @p206 (forall @t314 (= (tptp.c_Com_Ovname_Ovname__size @t313) @t19))) % 54.75/54.96 (assume @p207 (forall @t314 (= (tptp.hAPP @t253 @t313) @t19))) % 54.75/54.96 (assume @p208 (forall (@list @t54 @t286 @t14) (= (tptp.c_Option_Ooption_Ooption__size @t14 @t286 @t302) @t318))) % 54.75/54.96 (assume @p209 (forall @t327 (=> (tptp.class_Groups_Oab__semigroup__add @t289) @t326))) % 54.75/54.96 (assume @p210 (forall @t334 (=> @t333 (= (= @t332 @t331) @t328)))) % 54.75/54.96 (assume @p211 (forall (@list @t51 @t54 @t52 @t14) (=> @t333 (= (= @t338 @t336) @t328)))) % 54.75/54.96 (assume @p212 (forall @t327 (=> @t342 @t341))) % 54.75/54.96 (assume @p213 (forall @t327 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t289) @t341))) % 54.75/54.96 (assume @p214 (forall @t346 (=> @t342 (=> (= @t345 @t344) @t339)))) % 54.75/54.96 (assume @p215 (forall @t354 (= (= @t353 @t351) @t348))) % 54.75/54.96 (assume @p216 (forall @t358 (= (= @t357 @t356) @t348))) % 54.75/54.96 (assume @p217 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t316 @t363) @t359) (tptp.hAPP @t362 @t361)))) % 54.75/54.96 (assume @p218 (forall @t370 (= (tptp.hAPP @t366 @t369) (tptp.hAPP @t368 (tptp.hAPP @t366 @t365))))) % 54.75/54.96 (assume @p219 (forall @t372 (= @t363 @t371))) % 54.75/54.96 (assume @p220 (forall (@list @t373 @t374) (= (= @t375 (tptp.c_Com_Ovname_OGlb @t373)) (= @t374 @t373)))) % 54.75/54.96 (assume @p221 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t316 @t19) @t76) @t76))) % 54.75/54.96 (assume @p222 (forall @t308 (= (tptp.hAPP @t362 @t19) @t306))) % 54.75/54.96 (assume @p223 (forall @t379 (= (= @t378 @t19) (and @t377 @t376)))) % 54.75/54.96 (assume @p224 (forall @t372 (=> (= @t363 @t306) @t380))) % 54.75/54.96 (assume @p225 (forall @t372 (= @t382 @t381))) % 54.75/54.96 (assume @p226 (forall @t372 (= @t382 @t383))) % 54.75/54.96 (assume @p227 (forall @t372 (= @t381 @t383))) % 54.75/54.96 (assume @p228 (forall @t304 (=> @t387 @t386))) % 54.75/54.96 (assume @p229 (forall @t304 (=> @t388 @t386))) % 54.75/54.96 (assume @p230 (forall @t392 (=> @t391 (= (= @t15 @t390) @t389)))) % 54.75/54.96 (assume @p231 (forall @t304 (=> @t387 @t393))) % 54.75/54.96 (assume @p232 (forall @t304 (=> @t388 @t393))) % 54.75/54.96 (assume @p233 (forall @t379 (= (= @t315 @t378) @t396))) % 54.75/54.96 (assume @p234 (forall @t379 (= (= @t378 @t315) @t396))) % 54.75/54.96 (assume @p235 (forall (@list @t397 @t312) (not (= @t313 @t398)))) % 54.75/54.96 (assume @p236 (forall (@list @t312 @t397) (not (= @t398 @t313)))) % 54.75/54.96 (assume @p237 (forall @t400 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t288) (tptp.hAPP tptp.c_Nat_OSuc @t367)) @t399))) % 54.75/54.96 (assume @p238 (forall (@list @t401 @t402) (= (= @t403 (tptp.hAPP tptp.c_Nat_OSuc @t401)) (= @t402 @t401)))) % 54.75/54.96 (assume @p239 (forall @t77 (not (= @t254 @t76)))) % 54.75/54.96 (assume @p240 (forall @t77 (not (= @t76 @t254)))) % 54.75/54.96 (assume @p241 (forall @t406 (= (tptp.hAPP @t34 @t405) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t34 @t404)) @t315)))) % 54.75/54.96 (assume @p242 (forall @t406 (= (tptp.c_Nat_Onat_Onat__size @t405) (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Nat_Onat_Onat__size @t404)) @t315)))) % 54.75/54.96 (assume @p243 (forall @t408 (= (tptp.c_Com_Ovname_Ovname__rec @t14 @t49 @t48 @t375) @t407))) % 54.75/54.96 (assume @p244 (forall @t408 (= (tptp.c_Com_Ovname_Ovname__case @t14 @t49 @t48 @t375) @t407))) % 54.75/54.96 (assume @p245 (forall @t410 (= (tptp.hAPP @t23 @t234) @t409))) % 54.75/54.96 (assume @p246 (forall @t410 (= (tptp.c_Com_Ocom_Ocom__size @t234) @t411))) % 54.75/54.96 (assume @p247 (forall @t412 (= (tptp.hAPP @t23 @t142) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t23 @t123)) (tptp.hAPP @t23 @t122))) @t315)))) % 54.75/54.96 (assume @p248 (forall @t412 (= (tptp.c_Com_Ocom_Ocom__size @t142) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Com_Ocom_Ocom__size @t123)) (tptp.c_Com_Ocom_Ocom__size @t122))) @t315)))) % 54.75/54.96 (assume @p249 (forall @t413 (= (tptp.hAPP @t23 @t167) @t409))) % 54.75/54.96 (assume @p250 (forall @t413 (= (tptp.c_Com_Ocom_Ocom__size @t167) @t411))) % 54.75/54.96 (assume @p251 (forall @t414 (= (tptp.hAPP @t23 @t192) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t23 @t191)) (tptp.hAPP @t23 @t190))) @t315)))) % 54.75/54.96 (assume @p252 (forall @t414 (= (tptp.c_Com_Ocom_Ocom__size @t192) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Com_Ocom_Ocom__size @t191)) (tptp.c_Com_Ocom_Ocom__size @t190))) @t315)))) % 54.75/54.96 (assume @p253 (forall @t304 (=> @t415 @t386))) % 54.75/54.96 (assume @p254 (forall @t304 (=> @t415 @t393))) % 54.75/54.96 (assume @p255 (forall @t417 (=> @t416 (= (= @t52 @t338) @t389)))) % 54.75/54.96 (assume @p256 (forall @t392 (=> @t391 @t418))) % 54.75/54.96 (assume @p257 (forall @t424 (= (tptp.hAPP @t423 @t422) @t419))) % 54.75/54.96 (assume @p258 (forall @t424 (= (tptp.c_Option_Ooption_Ooption__rec @t14 @t420 @t49 @t48 @t422) @t419))) % 54.75/54.96 (assume @p259 (forall @t426 (= (tptp.hAPP @t423 @t425) @t49))) % 54.75/54.96 (assume @p260 (forall @t426 (= (tptp.c_Option_Ooption_Ooption__rec @t14 @t420 @t49 @t48 @t425) @t49))) % 54.75/54.96 (assume @p261 (forall (@list @t288 @t14) (not (tptp.c_Option_Ois__none @t14 (tptp.hAPP @t292 @t288))))) % 54.75/54.96 (assume @p262 (forall @t18 (= (tptp.c_Option_Ois__none @t14 @t16) @t294))) % 54.75/54.96 (assume @p263 (forall @t305 (tptp.c_Option_Ois__none @t289 @t296))) % 54.75/54.96 (assume @p264 (forall (@list @t26 @t181 @t289) (=> @t415 (= @t340 @t344)))) % 54.75/54.96 (assume @p265 (forall @t430 (=> @t415 (= @t429 (tptp.hAPP @t343 (tptp.hAPP @t322 @t427)))))) % 54.75/54.96 (assume @p266 (forall @t430 (=> @t415 (= @t429 (tptp.hAPP @t431 @t427))))) % 54.75/54.96 (assume @p267 (forall @t327 (=> @t415 @t326))) % 54.75/54.96 (assume @p268 (forall @t327 (=> @t415 (= @t325 (tptp.hAPP @t431 @t274))))) % 54.75/54.96 (assume @p269 (forall @t433 (=> @t415 (= (tptp.hAPP @t324 @t428) (tptp.hAPP @t431 @t432))))) % 54.75/54.96 (assume @p270 (forall (@list @t434 @t102 @t435 @t14) (=> @t437 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t14 @t435 @t436 @t434) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t14 @t435 @t102 (tptp.hAPP @t435 @t434)))))) % 54.75/54.96 (assume @p271 (forall (@list @t434 @t435 @t14) (=> @t437 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t14 @t435 @t19 @t434) @t434)))) % 54.75/54.96 (assume @p272 (forall (@list @t104 @t98 @t51 @t52) (=> (tptp.hBOOL (tptp.hAPP @t230 @t104)) (=> @t438 (not (=> @t131 (forall @t153 (=> (tptp.hBOOL (tptp.hAPP @t179 @t151)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t229 @t151) @t104))))))))))) % 54.75/54.96 (assume @p273 (forall (@list @t104 @t102 @t98 @t51 @t52) (=> (tptp.c_Natural_Oevaln @t227 @t98 @t102 @t104) (=> @t438 (not (=> @t131 (forall @t153 (=> (tptp.c_Natural_Oevaln @t51 @t98 @t102 @t151) (not (tptp.c_Natural_Oevaln @t227 @t151 @t102 @t104)))))))))) % 54.75/54.96 (assume @p274 (forall (@list @t52 @t54 @t439 @t286 @t420 @t14) (= (tptp.c_Nitpick_Opair__box_Opair__box__size @t14 @t420 @t286 @t439 @t441) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t317 @t440)) @t315)))) % 54.75/54.96 (assume @p275 (forall (@list @t52 @t439 @t286 @t420 @t14) (= (tptp.c_Sum__Type_Osum_Osum__size @t14 @t420 @t286 @t439 @t443) (tptp.hAPP (tptp.hAPP @t316 @t440) @t315)))) % 54.75/54.96 (assume @p276 (forall (@list @t54 @t439 @t286 @t420 @t14) (= (tptp.c_Sum__Type_Osum_Osum__size @t14 @t420 @t286 @t439 @t445) @t318))) % 54.75/54.96 (assume @p277 (forall (@list @t289 @t367) (=> (not (= @t367 @t296)) (not (forall @t447 (not (= @t367 (tptp.hAPP @t290 @t446)))))))) % 54.75/54.96 (assume @p278 (forall @t77 (tptp.hBOOL (tptp.hAPP @t449 @t254)))) % 54.75/54.96 (assume @p279 (forall (@list @t367) (=> @t452 (not (forall (@list @t450) (not (= @t367 (tptp.hAPP tptp.c_Nat_OSuc @t450)))))))) % 54.75/54.96 (assume @p280 (forall (@list @t349 @t87) (=> (tptp.hBOOL @t455) (=> (forall @t177 (=> (tptp.hBOOL (tptp.hAPP @t87 @t277)) @t454)) @t453)))) % 54.75/54.96 (assume @p281 (forall @t77 (not (tptp.hBOOL (tptp.hAPP @t456 @t19))))) % 54.75/54.96 (assume @p282 (forall @t372 (=> @t460 @t458))) % 54.75/54.96 (assume @p283 (forall @t77 (tptp.hBOOL (tptp.hAPP @t456 @t254)))) % 54.75/54.96 (assume @p284 (forall @t464 (= (= @t441 (tptp.c_Nitpick_Opair__box_OPairBox @t14 @t420 @t300 @t461)) @t463))) % 54.75/54.96 (assume @p285 (forall @t77 (not (tptp.hBOOL (tptp.hAPP @t456 @t76))))) % 54.75/54.96 (assume @p286 (forall @t379 (= @t469 (or @t468 @t466)))) % 54.75/54.96 (assume @p287 (forall @t400 (=> @t472 (=> (not @t471) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t367) @t288)))))) % 54.75/54.96 (assume @p288 (forall @t476 (=> @t475 @t474))) % 54.75/54.96 (assume @p289 (forall @t149 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t24) @t81)) (not (= @t24 @t81))))) % 54.75/54.96 (assume @p290 (forall (@list @t87 @t102 @t347) (=> (=> @t468 @t478) (=> (=> @t348 @t478) (=> (=> @t466 @t478) @t478))))) % 54.75/54.96 (assume @p291 (forall @t484 (=> @t483 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t331) @t482)) @t481)))) % 54.75/54.96 (assume @p292 (forall @t486 (=> @t483 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t336) @t485)) @t481)))) % 54.75/54.96 (assume @p293 (forall @t327 (=> @t492 (=> @t491 @t489)))) % 54.75/54.96 (assume @p294 (forall @t327 (=> @t492 (=> @t491 @t494)))) % 54.75/54.96 (assume @p295 (forall @t433 (=> @t492 (=> @t491 @t498)))) % 54.75/54.96 (assume @p296 (forall @t500 (=> @t499 (=> @t489 @t491)))) % 54.75/54.96 (assume @p297 (forall @t501 (=> @t499 (=> @t494 @t491)))) % 54.75/54.96 (assume @p298 (forall @t504 (= @t503 @t502))) % 54.75/54.96 (assume @p299 (forall @t372 (=> @t460 @t505))) % 54.75/54.96 (assume @p300 (forall @t77 (=> @t505 @t506))) % 54.75/54.96 (assume @p301 (forall @t372 (=> @t458 @t460))) % 54.75/54.96 (assume @p302 (forall @t372 (=> @t507 @t460))) % 54.75/54.96 (assume @p303 (forall @t372 (=> @t509 (=> @t508 @t473)))) % 54.75/54.96 (assume @p304 (forall @t517 (=> @t516 (=> @t514 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t511) @t359)))))) % 54.75/54.96 (assume @p305 (forall @t372 (=> @t460 (=> (not (= @t307 @t76)) @t507)))) % 54.75/54.96 (assume @p306 (forall @t372 (=> @t460 @t509))) % 54.75/54.96 (assume @p307 (forall @t476 (=> (not @t475) (=> (tptp.hBOOL (tptp.hAPP @t456 @t307)) @t473)))) % 54.75/54.96 (assume @p308 (forall @t523 (=> @t522 @t521))) % 54.75/54.96 (assume @p309 (forall @t379 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t519) @t436)) @t468))) % 54.75/54.96 (assume @p310 (forall @t379 (= @t525 @t524))) % 54.75/54.96 (assume @p311 (forall @t379 (= (not @t468) @t520))) % 54.75/54.96 (assume @p312 (forall @t517 (=> (tptp.hBOOL (tptp.hAPP @t528 @t359)) (tptp.hBOOL (tptp.hAPP @t515 @t359))))) % 54.75/54.96 (assume @p313 (forall (@list @t76 @t306 @t531 @t359) (=> @t533 (=> (= (tptp.hAPP @t362 @t531) @t530) @t460)))) % 54.75/54.96 (assume @p314 (forall @t538 (=> @t516 (=> @t533 (tptp.hBOOL (tptp.hAPP @t537 @t535)))))) % 54.75/54.96 (assume @p315 (forall @t517 (=> @t516 (tptp.hBOOL (tptp.hAPP @t537 @t539))))) % 54.75/54.96 (assume @p316 (forall @t541 (=> @t516 (tptp.hBOOL (tptp.hAPP @t515 @t540))))) % 54.75/54.96 (assume @p317 (forall @t541 (=> @t516 (tptp.hBOOL (tptp.hAPP @t515 @t542))))) % 54.75/54.96 (assume @p318 (forall @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t357) @t356)) @t468))) % 54.75/54.96 (assume @p319 (forall @t544 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t543) @t510))))) % 54.75/54.96 (assume @p320 (forall @t545 (not (tptp.hBOOL (tptp.hAPP @t528 @t510))))) % 54.75/54.96 (assume @p321 (forall @t552 (=> @t551 (=> @t550 @t549)))) % 54.75/54.96 (assume @p322 (forall @t552 (=> @t551 (=> @t557 @t556)))) % 54.75/54.96 (assume @p323 (forall @t392 (=> @t391 @t559))) % 54.75/54.96 (assume @p324 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t560 @t390)) @t561)))) % 54.75/54.96 (assume @p325 (forall @t392 (=> @t562 @t559))) % 54.75/54.96 (assume @p326 (forall @t504 (= @t502 (exists @t566 @t565)))) % 54.75/54.96 (assume @p327 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t465 @t315)) @t376))) % 54.75/54.96 (assume @p328 (forall @t379 (= @t525 (or @t377 (exists @t569 (and (= @t347 (tptp.hAPP tptp.c_Nat_OSuc @t567)) (tptp.hBOOL (tptp.hAPP @t568 @t102)))))))) % 54.75/54.96 (assume @p329 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t449 @t378)) (or @t570 @t502)))) % 54.75/54.96 (assume @p330 (forall @t572 (tptp.hBOOL (tptp.hAPP @t515 (tptp.hAPP tptp.c_Nat_OSuc @t571))))) % 54.75/54.96 (assume @p331 (forall @t572 (tptp.hBOOL (tptp.hAPP @t515 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t362 @t510)))))) % 54.75/54.96 (assume @p332 (forall @t379 (= @t468 (exists @t575 (= @t102 (tptp.hAPP tptp.c_Nat_OSuc @t574)))))) % 54.75/54.96 (assume @p333 (forall @t576 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box @t289 @t14)) (tptp.c_Nitpick_Opair__box_OPairBox @t289 @t14 @t181 @t274)) @t19))) % 54.75/54.96 (assume @p334 (forall @t581 (= (tptp.c_Nitpick_Opair__box_Opair__box__case @t420 @t579 @t14 @t49 @t580) @t578))) % 54.75/54.96 (assume @p335 (forall @t581 (= (tptp.c_Nitpick_Opair__box_Opair__box__rec @t420 @t579 @t14 @t49 @t580) @t578))) % 54.75/54.96 (assume @p336 (forall @t327 (=> @t585 (=> @t557 @t584)))) % 54.75/54.96 (assume @p337 (forall (@list @t586 @t589 @t588 @t587) (not (= (tptp.hAPP (tptp.c_Sum__Type_OInr @t587 @t588) @t589) (tptp.hAPP (tptp.c_Sum__Type_OInl @t588 @t587) @t586))))) % 54.75/54.96 (assume @p338 (forall (@list @t181 @t274 @t289 @t14) (not (= @t593 @t591)))) % 54.75/54.96 (assume @p339 (forall (@list @t594 @t181 @t14 @t289) (not (= @t591 (tptp.hAPP @t592 @t594))))) % 54.75/54.96 (assume @p340 (forall @t576 (not (= @t591 @t593)))) % 54.75/54.96 (assume @p341 (forall (@list @t181 @t14 @t289) (= (tptp.hAPP @t595 @t591) @t19))) % 54.75/54.96 (assume @p342 (forall (@list @t274 @t14 @t289) (= (tptp.hAPP @t595 @t593) @t19))) % 54.75/54.96 (assume @p343 (forall @t597 (=> (tptp.hBOOL (tptp.hAPP @t470 @t365)) @t596))) % 54.75/54.96 (assume @p344 (forall @t605 (=> @t604 @t603))) % 54.75/54.96 (assume @p345 (forall (@list @t461 @t52 @t14 @t420) (= (= @t443 (tptp.hAPP @t442 @t461)) @t462))) % 54.75/54.96 (assume @p346 (forall (@list @t367 @t288 @t289 @t14) (=> (= @t606 (tptp.hAPP @t592 @t367)) @t399))) % 54.75/54.96 (assume @p347 (forall (@list @t300 @t54 @t420 @t14) (= (= @t445 (tptp.hAPP @t444 @t300)) @t301))) % 54.75/54.96 (assume @p348 (forall (@list @t367 @t288 @t14 @t289) (=> (= @t607 (tptp.hAPP @t590 @t367)) @t399))) % 54.75/54.96 (assume @p349 (forall @t370 (=> @t471 @t596))) % 54.75/54.96 (assume @p350 (forall @t608 (= (tptp.c_Sum__Type_OProjl @t289 @t14 @t607) @t288))) % 54.75/54.96 (assume @p351 (forall @t608 (= (tptp.c_Sum__Type_OProjr @t289 @t14 @t606) @t288))) % 54.75/54.96 (assume @p352 (forall @t611 (= (tptp.c_Sum__Type_Osum_Osum__rec @t420 @t14 @t579 @t49 @t48 @t610) @t577))) % 54.75/54.96 (assume @p353 (forall @t614 (= (tptp.c_Sum__Type_Osum_Osum__rec @t420 @t14 @t579 @t49 @t48 @t613) @t612))) % 54.75/54.96 (assume @p354 (forall @t616 (= (tptp.hAPP (tptp.c_Sum__Type_OSuml @t420 @t14 @t579 @t2) (tptp.hAPP @t609 @t16)) @t615))) % 54.75/54.96 (assume @p355 (forall @t616 (= (tptp.hAPP (tptp.c_Sum__Type_OSumr @t420 @t14 @t579 @t2) (tptp.hAPP (tptp.c_Sum__Type_OInr @t420 @t579) @t16)) @t615))) % 54.75/54.96 (assume @p356 (forall @t620 (=> @t619 (= (tptp.hBOOL (tptp.hAPP @t560 @t618)) @t502)))) % 54.75/54.96 (assume @p357 (forall @t372 (=> @t460 (exists @t575 (= @t76 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t362 @t573))))))) % 54.75/54.96 (assume @p358 (forall @t545 (=> @t516 (exists @t575 (and (tptp.hBOOL (tptp.hAPP @t449 @t573)) (= (tptp.hAPP @t526 @t573) @t512)))))) % 54.75/54.96 (assume @p359 (forall @t77 (=> @t506 (exists @t566 (= @t76 @t564))))) % 54.75/54.96 (assume @p360 (forall @t623 (=> @t622 (= (= @t621 @t618) @t348)))) % 54.75/54.96 (assume @p361 (forall (@list @t1 @t2 @t14 @t579 @t420) (=> (= (tptp.c_Sum__Type_OSumr @t420 @t579 @t14 @t2) (tptp.c_Sum__Type_OSumr @t420 @t579 @t14 @t1)) @t3))) % 54.75/54.96 (assume @p362 (forall (@list @t1 @t2 @t420 @t579 @t14) (=> (= (tptp.c_Sum__Type_OSuml @t14 @t579 @t420 @t2) (tptp.c_Sum__Type_OSuml @t14 @t579 @t420 @t1)) @t3))) % 54.75/54.96 (assume @p363 (forall @t504 (= (= @t626 @t624) @t376))) % 54.75/54.96 (assume @p364 (= @t627 @t624)) % 54.75/54.96 (assume @p365 (forall @t635 (= @t634 (exists @t177 (= @t57 (tptp.hAPP @t631 @t628)))))) % 54.75/54.96 (assume @p366 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t637 @t626)) @t468))) % 54.75/54.96 (assume @p367 (forall @t372 (= (tptp.hAPP @t641 @t639) @t638))) % 54.75/54.96 (assume @p368 (forall (@list @t365 @t76 @t306) (= (tptp.hAPP @t641 (tptp.hAPP (tptp.hAPP @t630 @t639) @t365)) (tptp.hAPP (tptp.hAPP @t630 @t638) @t365)))) % 54.75/54.96 (assume @p369 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t642 @t626)) @t502))) % 54.75/54.96 (assume @p370 (forall @t646 (=> @t585 (not (tptp.hBOOL (tptp.hAPP @t645 @t384)))))) % 54.75/54.96 (assume @p371 (forall @t305 (=> @t647 (= (tptp.hAPP @t643 @t19) @t384)))) % 54.75/54.96 (assume @p372 (forall @t623 (=> @t619 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t621) @t618)) @t468)))) % 54.75/54.96 (assume @p373 (forall @t650 (=> @t585 (=> @t460 @t649)))) % 54.75/54.96 (assume @p374 (forall @t650 (=> @t585 (=> @t649 @t460)))) % 54.75/54.96 (assume @p375 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t363) (tptp.hAPP (tptp.hAPP @t319 @t644) @t648))))) % 54.75/54.96 (assume @p376 (forall (@list @t651 @t102 @t2 @t14) (=> @t655 (=> @t654 (=> (tptp.hBOOL (tptp.hAPP @t465 @t651)) (tptp.hBOOL (tptp.hAPP @t653 (tptp.hAPP @t2 @t651)))))))) % 54.75/54.96 (assume @p377 (forall (@list @t347 @t102 @t2 @t14) (=> @t655 (=> @t654 (= (tptp.hBOOL (tptp.hAPP @t653 @t656)) @t466))))) % 54.75/54.96 (assume @p378 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t630 @t658) @t657) (tptp.hAPP @t625 (tptp.hAPP @t366 @t367))))) % 54.75/54.96 (assume @p379 (forall @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t662) @t661)) @t660))) % 54.75/54.96 (assume @p380 (= @t624 @t627)) % 54.75/54.96 (assume @p381 (forall @t605 (=> @t664 (=> @t602 (=> @t472 @t599))))) % 54.75/54.96 (assume @p382 (forall @t605 (=> @t665 (=> @t601 (not @t599))))) % 54.75/54.96 (assume @p383 (forall @t670 (=> @t669 (=> @t599 @t668)))) % 54.75/54.96 (assume @p384 (forall @t673 (=> @t665 (=> @t601 @t672)))) % 54.75/54.96 (assume @p385 (forall @t346 (=> @t669 (=> @t675 (=> @t339 @t674))))) % 54.75/54.96 (assume @p386 (forall @t677 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t676) @t624))))) % 54.75/54.96 (assume @p387 (forall @t379 (= (= @t636 @t626) @t348))) % 54.75/54.96 (assume @p388 (forall @t663 (= (= @t662 @t661) @t678))) % 54.75/54.96 (assume @p389 (forall @t684 (= @t683 @t681))) % 54.75/54.96 (assume @p390 (forall @t370 (= (tptp.hAPP @t685 (tptp.hAPP @t686 @t365)) (tptp.hAPP @t686 (tptp.hAPP @t685 @t365))))) % 54.75/54.96 (assume @p391 (forall @t692 (= (tptp.hAPP (tptp.hAPP @t630 @t691) @t687) (tptp.hAPP @t690 (tptp.hAPP (tptp.hAPP @t630 @t688) @t687))))) % 54.75/54.96 (assume @p392 (forall @t693 (= (tptp.hAPP @t682 @t624) @t365))) % 54.75/54.96 (assume @p393 (forall @t693 (= (tptp.hAPP (tptp.hAPP @t630 @t624) @t365) @t365))) % 54.75/54.96 (assume @p394 (forall @t400 (or (tptp.hBOOL (tptp.hAPP @t695 @t367)) @t399 (tptp.hBOOL (tptp.hAPP @t694 @t288))))) % 54.75/54.96 (assume @p395 (forall @t517 (=> @t698 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP @t696 @t359)) (tptp.hAPP (tptp.hAPP @t630 @t512) @t359)))))) % 54.75/54.96 (assume @p396 (forall @t291 (=> @t665 (not (tptp.hBOOL (tptp.hAPP @t600 @t288)))))) % 54.75/54.96 (assume @p397 (forall @t705 (=> @t704 (= @t703 (or @t702 @t700))))) % 54.75/54.96 (assume @p398 (forall @t705 (=> @t704 (= @t706 (or @t700 @t678))))) % 54.75/54.96 (assume @p399 (forall @t605 (=> @t664 (or @t601 @t399 @t599)))) % 54.75/54.96 (assume @p400 (forall @t708 (=> @t704 (=> (not @t700) @t707)))) % 54.75/54.96 (assume @p401 (forall @t605 (=> @t664 @t603))) % 54.75/54.96 (assume @p402 (forall @t605 (=> @t669 (=> @t601 @t472)))) % 54.75/54.96 (assume @p403 (forall @t605 (=> @t669 (=> @t601 @t709)))) % 54.75/54.96 (assume @p404 (forall @t552 (=> @t665 (=> @t491 (not @t675))))) % 54.75/54.96 (assume @p405 (forall @t710 (=> @t669 (=> @t675 (not @t491))))) % 54.75/54.96 (assume @p406 (forall @t327 (=> @t713 (=> @t712 (=> @t583 @t711))))) % 54.75/54.96 (assume @p407 (forall @t327 (=> @t669 (=> @t712 (=> (tptp.hBOOL (tptp.hAPP @t496 @t274)) @t674))))) % 54.75/54.96 (assume @p408 (forall @t327 (=> @t713 (=> @t491 (=> @t339 @t711))))) % 54.75/54.96 (assume @p409 (forall @t677 (=> @t716 (exists @t177 (and @t715 (= @t359 @t714)))))) % 54.75/54.96 (assume @p410 (forall @t720 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t560 @t719)) @t717)))) % 54.75/54.96 (assume @p411 (forall @t720 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t719) @t15)) @t722)))) % 54.75/54.96 (assume @p412 (forall @t517 (=> @t698 (=> @t725 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP @t724 @t510)) (tptp.hAPP @t724 @t512))))))) % 54.75/54.96 (assume @p413 (forall @t77 (tptp.hBOOL (tptp.hAPP @t728 @t624)))) % 54.75/54.96 (assume @p414 (forall @t731 (= (tptp.hBOOL (tptp.hAPP @t87 @t730)) (and (forall @t177 (=> (= @t434 @t714) @t454)) (=> (tptp.hBOOL (tptp.hAPP @t729 @t624)) @t453))))) % 54.75/54.96 (assume @p415 (forall @t733 (= (tptp.hBOOL (tptp.hAPP @t449 @t732)) @t717))) % 54.75/54.96 (assume @p416 (forall @t476 (tptp.hBOOL (tptp.hAPP @t728 @t640)))) % 54.75/54.96 (assume @p417 (forall @t308 (= (tptp.hAPP @t625 @t307) (tptp.hAPP @t735 @t640)))) % 54.75/54.96 (assume @p418 (forall @t733 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t735 @t57)) @t57)) @t624)) @t722))) % 54.75/54.96 (assume @p419 (forall @t646 (=> @t415 (= (tptp.hAPP @t741 @t306) (tptp.hAPP @t740 @t306))))) % 54.75/54.96 (assume @p420 (forall (@list @t181 @t306 @t289) (=> @t415 (= (tptp.hAPP @t741 @t745) @t743)))) % 54.75/54.96 (assume @p421 (forall (@list @t306 @t181 @t289) (=> @t415 (= (tptp.hAPP @t746 @t306) @t743)))) % 54.75/54.96 (assume @p422 (forall @t650 (=> @t585 (=> (tptp.hBOOL (tptp.hAPP @t747 @t306)) (=> (tptp.hBOOL (tptp.hAPP @t747 @t76)) (tptp.hBOOL (tptp.hAPP @t747 (tptp.hAPP (tptp.hAPP @t739 @t306) @t76)))))))) % 54.75/54.96 (assume @p423 (forall @t552 (=> @t753 (= @t752 @t750)))) % 54.75/54.96 (assume @p424 (forall @t552 (=> @t753 (= @t752 @t756)))) % 54.75/54.96 (assume @p425 (forall @t552 (=> @t753 (= @t756 @t750)))) % 54.75/54.96 (assume @p426 (forall @t552 (=> @t753 (= (tptp.hAPP @t755 @t749) @t751)))) % 54.75/54.96 (assume @p427 (forall @t18 (=> @t764 (= (= @t763 @t757) (or @t760 (= @t16 @t759)))))) % 54.75/54.96 (assume @p428 (forall @t771 (=> @t770 (= (= (tptp.hAPP @t769 @t54) (tptp.hAPP @t768 @t52)) (or @t767 @t766))))) % 54.75/54.96 (assume @p429 (forall @t305 (=> @t773 (= (tptp.hAPP @t772 @t734) @t736)))) % 54.75/54.96 (assume @p430 (forall @t291 (=> @t776 (= @t775 (tptp.hAPP (tptp.hAPP @t739 @t774) @t288))))) % 54.75/54.96 (assume @p431 (forall @t693 (= (tptp.hAPP @t726 @t777) @t365))) % 54.75/54.96 (assume @p432 (forall @t779 (=> @t773 (= (tptp.hAPP @t772 @t777) (tptp.hAPP @t748 @t778))))) % 54.75/54.96 (assume @p433 (forall @t783 (=> @t773 (= (tptp.hAPP @t772 @t782) (tptp.hAPP (tptp.hAPP @t739 @t780) @t778))))) % 54.75/54.96 (assume @p434 (forall @t304 (=> @t415 @t784))) % 54.75/54.96 (assume @p435 (forall @t693 (= (tptp.hAPP (tptp.hAPP @t723 @t734) @t365) @t365))) % 54.75/54.96 (assume @p436 (forall @t304 (=> @t415 @t785))) % 54.75/54.96 (assume @p437 (forall @t693 (= (tptp.hAPP @t786 @t734) @t365))) % 54.75/54.96 (assume @p438 (forall @t552 (=> @t415 (= @t751 @t788)))) % 54.75/54.96 (assume @p439 (forall @t684 (= @t789 @t782))) % 54.75/54.96 (assume @p440 (forall @t797 (=> @t415 (= @t796 (tptp.hAPP @t794 (tptp.hAPP @t792 @t790)))))) % 54.75/54.96 (assume @p441 (forall @t797 (=> @t415 (= @t796 (tptp.hAPP @t798 @t790))))) % 54.75/54.96 (assume @p442 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t723 @t777) @t679) (tptp.hAPP @t726 @t789)))) % 54.75/54.96 (assume @p443 (forall @t802 (=> @t801 (= (= @t800 @t719) @t799)))) % 54.75/54.96 (assume @p444 (forall @t807 (=> @t415 (= @t806 (tptp.hAPP @t792 (tptp.hAPP @t804 @t793)))))) % 54.75/54.96 (assume @p445 (forall @t692 (= (tptp.hAPP (tptp.hAPP @t723 (tptp.hAPP @t809 @t688)) @t687) (tptp.hAPP @t809 (tptp.hAPP @t808 @t687))))) % 54.75/54.96 (assume @p446 (forall @t807 (=> @t415 (= @t806 (tptp.hAPP @t798 @t803))))) % 54.75/54.96 (assume @p447 (forall @t811 (=> @t415 (= @t810 (tptp.hAPP @t792 (tptp.hAPP @t804 @t795)))))) % 54.75/54.96 (assume @p448 (forall @t811 (=> @t415 (= @t810 (tptp.hAPP @t794 (tptp.hAPP @t805 @t790)))))) % 54.75/54.96 (assume @p449 (forall @t811 (=> @t415 (= @t810 (tptp.hAPP @t798 (tptp.hAPP @t804 @t790)))))) % 54.75/54.96 (assume @p450 (forall @t304 (=> @t812 (= (tptp.hAPP @t748 @t754) @t181)))) % 54.75/54.96 (assume @p451 (forall @t304 (=> @t813 @t784))) % 54.75/54.96 (assume @p452 (forall @t304 (=> @t814 @t784))) % 54.75/54.96 (assume @p453 (forall @t18 (=> (tptp.class_Groups_Oone @t14) (= (= @t757 @t16) @t760)))) % 54.75/54.96 (assume @p454 (forall @t304 (=> @t813 @t785))) % 54.75/54.96 (assume @p455 (forall @t304 (=> @t814 @t785))) % 54.75/54.96 (assume @p456 (forall @t771 (=> @t816 (= @t766 (= @t52 @t815))))) % 54.75/54.96 (assume @p457 (forall @t771 (=> @t816 (= (= @t815 @t52) (= @t765 @t54))))) % 54.75/54.96 (assume @p458 (forall @t771 (=> @t816 (= (= @t815 @t765) @t767)))) % 54.75/54.96 (assume @p459 (forall @t327 (=> (tptp.class_Groups_Oab__semigroup__mult @t289) (= (tptp.hAPP (tptp.hAPP @t739 @t751) @t26) (tptp.hAPP @t744 @t817))))) % 54.75/54.96 (assume @p460 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t820) (tptp.hAPP (tptp.hAPP @t739 @t644) @t648))))) % 54.75/54.96 (assume @p461 (forall @t305 (=> @t647 (= (tptp.hAPP @t643 @t821) @t736)))) % 54.75/54.96 (assume @p462 (forall @t825 (=> @t773 (and (=> @t823 (= @t822 (tptp.hAPP @t748 (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat @t824))))) (=> (not @t823) (= @t822 (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat @t359)))))))) % 54.75/54.96 (assume @p463 (forall @t77 (= (tptp.hAPP tptp.c_Int_Onat @t826) @t19))) % 54.75/54.96 (assume @p464 (= @t827 @t315)) % 54.75/54.96 (assume @p465 (forall @t379 (=> (tptp.hBOOL (tptp.hAPP @t642 @t347)) (= @t830 @t828)))) % 54.75/54.96 (assume @p466 (forall @t305 (=> @t812 (= (tptp.hAPP @t748 @t384) @t384)))) % 54.75/54.96 (assume @p467 (forall @t392 (=> @t816 (= (= @t15 @t815) (= @t15 @t54))))) % 54.75/54.96 (assume @p468 (forall @t392 (=> @t391 (= (= @t54 @t815) @t389)))) % 54.75/54.96 (assume @p469 (forall @t392 (=> @t816 (= (= @t815 @t15) @t389)))) % 54.75/54.96 (assume @p470 (forall @t392 (=> @t391 (= (= @t815 @t54) @t389)))) % 54.75/54.96 (assume @p471 (forall @t771 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t480 @t765)) (tptp.hBOOL (tptp.hAPP @t831 @t815)))))) % 54.75/54.96 (assume @p472 (forall @t771 (=> @t832 (= @t835 (tptp.hBOOL (tptp.hAPP @t833 @t54)))))) % 54.75/54.96 (assume @p473 (forall @t417 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t833 @t815)) @t481)))) % 54.75/54.96 (assume @p474 (forall @t552 (=> @t838 (= @t837 (tptp.hAPP @t836 @t749))))) % 54.75/54.96 (assume @p475 (forall @t552 (=> @t812 (= @t837 (tptp.hAPP (tptp.hAPP @t319 @t749) @t754))))) % 54.75/54.96 (assume @p476 (forall @t552 (=> @t812 (= (tptp.hAPP @t322 (tptp.hAPP @t836 @t274)) @t274)))) % 54.75/54.96 (assume @p477 (forall @t552 (=> @t812 (= (tptp.hAPP @t836 @t323) @t274)))) % 54.75/54.96 (assume @p478 (forall @t304 (=> @t415 @t839))) % 54.75/54.96 (assume @p479 (forall @t304 (=> @t415 @t840))) % 54.75/54.96 (assume @p480 (forall @t304 (=> @t841 @t839))) % 54.75/54.96 (assume @p481 (forall @t304 (=> @t841 @t840))) % 54.75/54.96 (assume @p482 (forall @t771 (=> (tptp.class_Rings_Oring__no__zero__divisors @t14) (= (= @t843 @t15) (or @t389 @t842))))) % 54.75/54.96 (assume @p483 (forall @t552 (=> @t849 (=> @t848 (=> @t846 (not @t844)))))) % 54.75/54.96 (assume @p484 (forall @t552 (=> @t849 (=> @t844 (or @t847 @t845))))) % 54.75/54.96 (assume @p485 (forall @t305 (=> @t850 (not (= @t736 @t384))))) % 54.75/54.96 (assume @p486 (forall @t305 (=> @t850 (not (= @t384 @t736))))) % 54.75/54.96 (assume @p487 (= (tptp.hAPP @t726 @t624) @t624)) % 54.75/54.96 (assume @p488 (forall @t77 (= (tptp.hAPP tptp.c_Int_Onat @t639) @t76))) % 54.75/54.96 (assume @p489 (forall (@list @t57 @t16 @t659 @t629 @t14) (=> @t416 (= (= (tptp.hAPP (tptp.hAPP @t329 @t854) @t853) (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t852 @t57)) (tptp.hAPP @t762 @t659))) (or (= @t629 @t16) @t851))))) % 54.75/54.96 (assume @p490 (forall (@list @t274 @t306 @t181 @t289) (=> @t415 (= (tptp.hAPP @t746 (tptp.hAPP @t787 @t306)) (tptp.hAPP @t855 @t306))))) % 54.75/54.96 (assume @p491 (forall @t327 (=> @t415 @t857))) % 54.75/54.96 (assume @p492 (forall @t864 (=> @t416 (= (and @t863 (not @t862)) (not (= (tptp.hAPP (tptp.hAPP @t329 @t861) (tptp.hAPP @t768 @t859)) (tptp.hAPP (tptp.hAPP @t329 @t860) @t858))))))) % 54.75/54.96 (assume @p493 (forall @t673 (=> @t415 (= (tptp.hAPP @t865 @t869) (tptp.hAPP (tptp.hAPP @t319 @t867) @t866))))) % 54.75/54.96 (assume @p494 (forall (@list @t26 @t274 @t870 @t181 @t289) (=> (tptp.class_Rings_Osemiring @t289) (= (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t744 @t870)) (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t787 @t870)) @t26)) (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t855 @t870)) @t26))))) % 54.75/54.96 (assume @p495 (forall @t327 (=> (tptp.class_Rings_Ocomm__semiring @t289) @t857))) % 54.75/54.96 (assume @p496 (forall @t684 (= (tptp.hAPP @t726 @t683) (tptp.hAPP @t872 @t871)))) % 54.75/54.96 (assume @p497 (forall @t875 (= (tptp.hAPP (tptp.hAPP @t723 @t691) @t679) (tptp.hAPP (tptp.hAPP @t630 @t874) @t873)))) % 54.75/54.96 (assume @p498 (forall @t878 (= (tptp.hAPP @t781 @t691) (tptp.hAPP (tptp.hAPP @t630 @t877) @t876)))) % 54.75/54.96 (assume @p499 (not (= @t624 @t734))) % 54.75/54.96 (assume @p500 (forall @t77 (= (tptp.hAPP @t879 @t639) @t639))) % 54.75/54.96 (assume @p501 (forall @t733 (= (tptp.hBOOL (tptp.hAPP @t881 @t732)) (tptp.hBOOL (tptp.hAPP @t880 @t57))))) % 54.75/54.96 (assume @p502 (forall @t392 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t560 @t815)) @t558)))) % 54.75/54.96 (assume @p503 (forall @t392 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t834 @t15)) @t561)))) % 54.75/54.96 (assume @p504 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t834 @t54)) @t561)))) % 54.75/54.96 (assume @p505 (forall @t392 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t480 @t815)) @t558)))) % 54.75/54.96 (assume @p506 (forall @t552 (=> @t812 (=> (= @t323 @t384) (= @t754 @t274))))) % 54.75/54.96 (assume @p507 (forall @t304 (=> @t838 @t882))) % 54.75/54.96 (assume @p508 (forall @t304 (=> @t812 @t882))) % 54.75/54.96 (assume @p509 (forall @t771 (=> @t816 (= @t766 (= @t332 @t15))))) % 54.75/54.96 (assume @p510 (forall @t304 (=> @t812 (= (tptp.hAPP @t322 @t754) @t384)))) % 54.75/54.96 (assume @p511 (= @t883 @t19)) % 54.75/54.96 (assume @p512 (= @t19 @t883)) % 54.75/54.96 (assume @p513 (forall @t304 (=> @t885 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t884) @t384)))))) % 54.75/54.96 (assume @p514 (forall @t484 (=> @t892 (= (tptp.hBOOL (tptp.hAPP @t891 @t858)) @t890)))) % 54.75/54.96 (assume @p515 (forall @t486 (=> @t892 (= @t896 @t890)))) % 54.75/54.96 (assume @p516 (forall @t486 (=> @t892 (=> @t889 (= @t896 @t481))))) % 54.75/54.96 (assume @p517 (forall @t552 (=> @t898 (=> @t557 (=> @t555 @t897))))) % 54.75/54.96 (assume @p518 (forall @t552 (=> @t898 (=> @t557 (=> @t548 @t899))))) % 54.75/54.96 (assume @p519 (forall @t552 (=> @t898 (=> @t557 (=> @t548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t788) @t384))))))) % 54.75/54.96 (assume @p520 (forall @t552 (=> @t898 (=> @t897 @t900)))) % 54.75/54.96 (assume @p521 (forall @t710 (=> @t898 (=> (tptp.hBOOL (tptp.hAPP @t553 @t788)) @t900)))) % 54.75/54.96 (assume @p522 (forall @t486 (=> @t892 (=> @t888 (= @t896 @t886))))) % 54.75/54.96 (assume @p523 (forall @t552 (=> @t898 (=> @t550 (=> @t555 @t899))))) % 54.75/54.96 (assume @p524 (forall @t552 (=> @t901 (=> @t550 (=> @t548 @t897))))) % 54.75/54.96 (assume @p525 (forall @t327 (=> @t898 (=> @t491 (=> @t904 @t903))))) % 54.75/54.96 (assume @p526 (forall @t327 (=> @t898 @t909))) % 54.75/54.96 (assume @p527 (forall @t327 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t289) @t909))) % 54.75/54.96 (assume @p528 (forall @t346 (=> @t901 (=> @t675 (=> @t910 @t903))))) % 54.75/54.96 (assume @p529 (forall @t346 (=> @t901 (=> @t675 (=> @t910 @t908))))) % 54.75/54.96 (assume @p530 (forall @t305 (=> @t585 (not (tptp.hBOOL (tptp.hAPP @t747 @t384)))))) % 54.75/54.96 (assume @p531 (forall @t305 (=> @t585 (tptp.hBOOL (tptp.hAPP @t553 @t736))))) % 54.75/54.96 (assume @p532 (forall @t705 (=> @t892 (= (= @t913 @t15) @t912)))) % 54.75/54.96 (assume @p533 (forall (@list @t427 @t26 @t274 @t181 @t914 @t289) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t289) (=> (not (= @t914 @t384)) (=> (and @t712 (not (= @t26 @t427))) (not (= (tptp.hAPP @t322 (tptp.hAPP @t915 @t26)) (tptp.hAPP @t320 (tptp.hAPP @t915 @t427))))))))) % 54.75/54.96 (assume @p534 (forall @t304 (=> @t585 (tptp.hBOOL (tptp.hAPP @t490 @t742))))) % 54.75/54.96 (assume @p535 (forall @t693 (= (tptp.hAPP @t872 @t365) @t624))) % 54.75/54.96 (assume @p536 (forall @t523 (= (= (tptp.hAPP @t726 @t626) @t636) @t916))) % 54.75/54.96 (assume @p537 (forall @t476 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t639) (tptp.hAPP @t726 @t640)))))) % 54.75/54.96 (assume @p538 (forall @t517 (=> @t698 (=> @t716 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP @t917 @t510)) (tptp.hAPP @t917 @t512))))))) % 54.75/54.96 (assume @p539 (tptp.hBOOL (tptp.hAPP @t642 @t734))) % 54.75/54.96 (assume @p540 (forall @t693 (not (= (tptp.hAPP (tptp.hAPP @t630 @t918) @t365) @t624)))) % 54.75/54.96 (assume @p541 (forall @t635 (= @t919 (or @t634 @t799)))) % 54.75/54.96 (assume @p542 (forall @t305 (=> @t773 (= (tptp.hAPP @t772 @t624) @t384)))) % 54.75/54.96 (assume @p543 (forall @t720 (=> @t801 (= (= @t15 @t719) @t920)))) % 54.75/54.96 (assume @p544 (forall @t720 (=> @t801 (= (= @t719 @t15) @t920)))) % 54.75/54.96 (assume @p545 (forall @t802 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t800) @t719)) @t634)))) % 54.75/54.96 (assume @p546 (forall @t783 (=> @t773 (= (tptp.hAPP @t772 @t681) (tptp.hAPP (tptp.hAPP @t319 @t780) @t778))))) % 54.75/54.96 (assume @p547 (forall @t921 (=> @t773 (= (tptp.hAPP @t772 @t639) @t648)))) % 54.75/54.96 (assume @p548 (forall @t926 (=> @t717 @t925))) % 54.75/54.96 (assume @p549 (forall @t635 (= @t924 (and @t717 @t634)))) % 54.75/54.96 (assume @p550 (forall @t927 (= (tptp.hBOOL (tptp.hAPP @t467 @t732)) (tptp.hBOOL (tptp.hAPP @t637 @t57))))) % 54.75/54.96 (assume @p551 (forall @t705 (=> @t892 (= (tptp.hBOOL (tptp.hAPP @t560 @t913)) @t929)))) % 54.75/54.96 (assume @p552 (forall @t605 (=> @t885 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t932) @t384)))))) % 54.75/54.96 (assume @p553 (forall @t305 (=> @t585 (tptp.hBOOL (tptp.hAPP @t553 @t738))))) % 54.75/54.96 (assume @p554 (forall @t646 (=> @t647 (= (tptp.hAPP @t643 @t307) (tptp.hAPP @t737 @t644))))) % 54.75/54.96 (assume @p555 (= (tptp.hAPP @t625 @t315) @t734)) % 54.75/54.96 (assume @p556 (forall @t933 (= (tptp.c_Int_Onat__aux @t510 @t76) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP tptp.c_Int_Onat @t510)) @t76)))) % 54.75/54.96 (assume @p557 (forall @t934 (=> (tptp.hBOOL (tptp.hAPP @t695 @t624)) (exists @t177 (= @t288 (tptp.hAPP @t726 @t628)))))) % 54.75/54.96 (assume @p558 (forall @t291 (=> @t938 (and (=> @t937 (= @t935 @t384)) (=> (not @t937) (and (=> @t936 (= @t935 @t736)) (=> (not @t936) (= @t935 @t774)))))))) % 54.75/54.96 (assume @p559 (forall @t304 (=> @t604 (=> @t550 (= @t939 @t774))))) % 54.75/54.96 (assume @p560 (forall @t392 (=> @t562 (= (= @t940 @t759) @t558)))) % 54.75/54.96 (assume @p561 (forall @t946 (and (=> @t944 (= @t942 @t624)) (=> @t945 (and (=> @t943 (= @t942 @t734)) (=> (not @t943) (= @t942 @t941))))))) % 54.75/54.96 (assume @p562 (forall @t693 (=> @t950 (= (tptp.hAPP tptp.c_Nat_OSuc @t947) (tptp.hAPP tptp.c_Int_Onat @t918))))) % 54.75/54.96 (assume @p563 (forall @t952 (=> @t951 (= (tptp.hBOOL (tptp.hAPP @t923 @t347)) (tptp.hBOOL (tptp.hAPP @t633 @t636)))))) % 54.75/54.96 (assume @p564 (forall @t961 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t289) (=> @t960 (=> (tptp.hBOOL (tptp.hAPP @t598 @t181)) (=> @t959 (=> @t958 (=> @t955 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t954) @t181)))))))))) % 54.75/54.96 (assume @p565 (forall @t392 (=> @t562 (= (= @t940 @t757) @t561)))) % 54.75/54.96 (assume @p566 (forall @t291 (=> @t665 (tptp.hBOOL (tptp.hAPP @t962 @t288))))) % 54.75/54.96 (assume @p567 (forall @t77 (tptp.hBOOL (tptp.hAPP @t964 @t76)))) % 54.75/54.96 (assume @p568 (forall @t476 (tptp.hBOOL (tptp.hAPP @t965 @t640)))) % 54.75/54.96 (assume @p569 (forall @t372 (=> (= @t306 @t820) (or (= @t76 @t821) @t966)))) % 54.75/54.96 (assume @p570 (forall @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t972) @t971)) @t968))) % 54.75/54.96 (assume @p571 (forall @t308 (tptp.hBOOL (tptp.hAPP @t974 @t973)))) % 54.75/54.96 (assume @p572 (forall @t308 (tptp.hBOOL (tptp.hAPP @t974 (tptp.hAPP @t819 @t973))))) % 54.75/54.96 (assume @p573 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t818 @t821) @t76) @t76))) % 54.75/54.96 (assume @p574 (forall @t379 (= (= @t821 @t979) @t977))) % 54.75/54.96 (assume @p575 (forall @t77 (= (tptp.hAPP @t980 @t821) @t76))) % 54.75/54.96 (assume @p576 (forall @t372 (= @t820 @t981))) % 54.75/54.96 (assume @p577 (forall @t379 (= (= @t979 @t821) @t977))) % 54.75/54.96 (assume @p578 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t818 @t820) @t359) (tptp.hAPP @t819 @t982)))) % 54.75/54.96 (assume @p579 (forall @t517 (=> @t989 (tptp.hBOOL (tptp.hAPP @t987 @t984))))) % 54.75/54.96 (assume @p580 (forall @t517 (=> @t989 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t992) @t991))))) % 54.75/54.96 (assume @p581 (forall @t538 (=> @t989 (=> @t994 (tptp.hBOOL (tptp.hAPP @t987 (tptp.hAPP @t983 @t531))))))) % 54.75/54.96 (assume @p582 (forall @t684 (=> @t998 (=> @t996 (= @t365 @t679))))) % 54.75/54.96 (assume @p583 (forall @t517 (=> @t1000 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t512) @t359)) (tptp.hBOOL (tptp.hAPP @t999 @t359)))))) % 54.75/54.96 (assume @p584 (forall @t684 (or @t998 @t996))) % 54.75/54.96 (assume @p585 (forall @t1001 (tptp.hBOOL (tptp.hAPP @t995 @t679)))) % 54.75/54.96 (assume @p586 (forall @t304 (=> @t604 (= (tptp.c_Groups_Osgn__class_Osgn @t289 @t939) @t939)))) % 54.75/54.96 (assume @p587 (forall @t605 (=> @t664 (=> (not @t1004) @t1003)))) % 54.75/54.96 (assume @p588 (forall (@list @t16 @t1 @t2 @t14 @t420) (=> @t1010 (=> @t1009 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t615) @t1005)))))) % 54.75/54.96 (assume @p589 (forall @t670 (=> @t669 (=> @t1003 (=> @t1013 @t1012))))) % 54.75/54.96 (assume @p590 (forall @t1014 (=> @t669 (=> @t1003 (=> @t1004 @t399))))) % 54.75/54.96 (assume @p591 (forall @t673 (=> @t665 (=> @t1004 (=> @t1016 @t1015))))) % 54.75/54.96 (assume @p592 (forall @t605 (=> @t669 (=> @t1004 (=> @t1003 @t399))))) % 54.75/54.96 (assume @p593 (forall @t346 (=> @t669 (=> @t1020 (=> @t339 @t1018))))) % 54.75/54.96 (assume @p594 (forall @t327 (=> @t713 (=> @t1023 (=> @t339 @t1022))))) % 54.75/54.96 (assume @p595 (forall @t327 (=> @t669 (=> @t712 (=> (tptp.hBOOL (tptp.hAPP @t1017 @t274)) @t1018))))) % 54.75/54.96 (assume @p596 (forall @t327 (=> @t713 (=> @t712 (=> @t1024 @t1022))))) % 54.75/54.96 (assume @p597 (forall @t708 (=> @t655 (=> @t1030 @t1028)))) % 54.75/54.96 (assume @p598 (forall @t605 (=> @t665 (=> @t399 @t1004)))) % 54.75/54.96 (assume @p599 (forall @t705 (=> @t655 (= @t678 (and @t1027 @t1030))))) % 54.75/54.96 (assume @p600 (forall @t605 (=> @t664 (or @t1004 @t1003)))) % 54.75/54.96 (assume @p601 (forall @t1032 (=> @t1010 (= @t1009 (forall @t8 @t1031))))) % 54.75/54.96 (assume @p602 (forall @t623 (=> @t619 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t621) @t618)) @t968)))) % 54.75/54.96 (assume @p603 (forall @t379 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t636) @t626)) @t968))) % 54.75/54.96 (assume @p604 (forall @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t662) @t661)) @t1033))) % 54.75/54.96 (assume @p605 (forall @t802 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t800) @t719)) @t1035)))) % 54.75/54.96 (assume @p606 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t1036 @t979)) (and (tptp.hBOOL (tptp.hAPP @t1036 @t347)) (tptp.hBOOL (tptp.hAPP @t1036 @t102)))))) % 54.75/54.96 (assume @p607 (forall @t358 (= @t1042 @t1038))) % 54.75/54.96 (assume @p608 (forall @t354 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1045) @t1044)) @t1038))) % 54.75/54.96 (assume @p609 (forall @t663 (=> @t1051 (=> @t1050 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1049) @t1048)) @t1047))))) % 54.75/54.96 (assume @p610 (forall @t705 (=> @t704 (= @t706 @t1030)))) % 54.75/54.96 (assume @p611 (forall @t705 (=> @t704 (= (not @t1027) @t700)))) % 54.75/54.96 (assume @p612 (forall @t605 (=> @t664 (or @t1004 @t599)))) % 54.75/54.96 (assume @p613 (forall @t705 (=> @t655 (= @t702 (and @t1027 @t703))))) % 54.75/54.96 (assume @p614 (forall @t705 (=> (tptp.class_Orderings_Opreorder @t14) (= @t702 (and @t1027 (not @t1030)))))) % 54.75/54.96 (assume @p615 (forall @t705 (=> @t655 (= @t1027 (or @t702 @t678))))) % 54.75/54.96 (assume @p616 (forall @t605 (=> @t664 (=> @t602 @t1003)))) % 54.75/54.96 (assume @p617 (forall @t1014 (=> @t664 (=> (not @t1003) @t601)))) % 54.75/54.96 (assume @p618 (forall @t705 (=> @t704 (=> @t706 @t1028)))) % 54.75/54.96 (assume @p619 (forall @t552 (=> @t669 (=> @t1052 (=> @t1023 @t491))))) % 54.75/54.96 (assume @p620 (forall @t552 (=> @t669 (=> @t1052 (=> @t1020 @t675))))) % 54.75/54.96 (assume @p621 (forall @t1014 (=> @t664 (=> @t1003 @t602)))) % 54.75/54.96 (assume @p622 (forall @t605 (=> @t665 (=> @t601 @t1004)))) % 54.75/54.96 (assume @p623 (forall @t705 (=> @t704 (=> @t1027 @t707)))) % 54.75/54.96 (assume @p624 (forall @t605 (=> @t669 (=> @t1004 (or @t601 @t399))))) % 54.75/54.96 (assume @p625 (forall @t552 (=> @t669 (=> @t1023 (=> @t1052 @t491))))) % 54.75/54.96 (assume @p626 (forall @t710 (=> @t669 (=> @t1020 (=> @t1052 @t675))))) % 54.75/54.96 (assume @p627 (forall @t673 (=> @t665 (=> @t601 (=> @t1016 @t671))))) % 54.75/54.96 (assume @p628 (forall @t670 (=> @t669 (=> @t599 (=> @t1013 @t667))))) % 54.75/54.96 (assume @p629 (forall @t673 (=> @t665 (=> @t1004 @t672)))) % 54.75/54.96 (assume @p630 (forall @t670 (=> @t669 (=> @t1003 @t668)))) % 54.75/54.96 (assume @p631 (forall @t501 (=> @t499 (=> @t1053 @t1023)))) % 54.75/54.96 (assume @p632 (forall @t500 (=> @t499 (=> @t1055 @t1023)))) % 54.75/54.96 (assume @p633 (forall @t433 (=> @t1057 (=> @t1023 (=> @t1056 (tptp.hBOOL (tptp.hAPP @t1054 @t432))))))) % 54.75/54.96 (assume @p634 (forall @t327 (=> @t1057 (=> @t1023 @t1053)))) % 54.75/54.96 (assume @p635 (forall @t327 (=> @t1057 (=> @t1023 @t1055)))) % 54.75/54.96 (assume @p636 (forall @t486 (=> @t483 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t336) @t485)) @t1059)))) % 54.75/54.96 (assume @p637 (forall @t484 (=> @t483 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t331) @t482)) @t1059)))) % 54.75/54.96 (assume @p638 (forall @t354 (= (= @t1045 @t1044) @t1061))) % 54.75/54.96 (assume @p639 (forall @t358 (= @t1062 @t1061))) % 54.75/54.96 (assume @p640 (forall @t379 (= (= @t979 @t19) (or @t377 @t376)))) % 54.75/54.96 (assume @p641 (forall @t308 (= (tptp.hAPP @t819 @t19) @t19))) % 54.75/54.96 (assume @p642 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t818 @t19) @t76) @t19))) % 54.75/54.96 (assume @p643 (forall @t358 (= (= @t972 @t971) @t348))) % 54.75/54.96 (assume @p644 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t1063 @t19)) @t376))) % 54.75/54.96 (assume @p645 (forall @t552 (=> @t1064 (=> @t1023 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t749) @t754)))))) % 54.75/54.96 (assume @p646 (forall @t417 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t1065 @t815)) @t1059)))) % 54.75/54.96 (assume @p647 (forall @t771 (=> @t832 (= @t1067 (tptp.hBOOL (tptp.hAPP @t1065 @t54)))))) % 54.75/54.96 (assume @p648 (forall @t771 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t1058 @t765)) (tptp.hBOOL (tptp.hAPP @t1068 @t815)))))) % 54.75/54.96 (assume @p649 (forall @t1071 (= (tptp.hAPP @t990 @t363) (tptp.hAPP (tptp.hAPP @t316 @t1070) @t1069)))) % 54.75/54.96 (assume @p650 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t818 @t363) @t359) (tptp.hAPP (tptp.hAPP @t316 @t1072) @t982)))) % 54.75/54.96 (assume @p651 (forall @t77 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t254) @t76))))) % 54.75/54.96 (assume @p652 (forall @t379 (= @t1075 @t1074))) % 54.75/54.96 (assume @p653 (forall @t379 (= @t1076 (or @t968 (= @t347 @t436))))) % 54.75/54.96 (assume @p654 (forall @t523 (= (tptp.hBOOL (tptp.hAPP @t1073 @t519)) @t1077))) % 54.75/54.96 (assume @p655 (forall @t372 (=> @t1079 @t1078))) % 54.75/54.96 (assume @p656 (forall @t372 (=> @t1078 (=> (not @t1079) (= @t306 @t254))))) % 54.75/54.96 (assume @p657 (forall @t372 (=> @t1080 @t1079))) % 54.75/54.96 (assume @p658 (tptp.hBOOL (tptp.hAPP @t949 @t624))) % 54.75/54.96 (assume @p659 (forall @t400 (=> @t471 @t1082))) % 54.75/54.96 (assume @p660 (forall @t372 (=> (or @t460 @t473) @t1079))) % 54.75/54.96 (assume @p661 (forall @t372 (=> @t1079 (=> @t474 @t460)))) % 54.75/54.96 (assume @p662 (forall @t372 (=> @t460 @t1079))) % 54.75/54.96 (assume @p663 (forall @t379 (= @t968 @t524))) % 54.75/54.96 (assume @p664 (forall @t379 (= @t468 (and @t968 @t469)))) % 54.75/54.96 (assume @p665 (forall @t370 (=> @t1082 @t1083))) % 54.75/54.96 (assume @p666 (forall @t597 (=> (tptp.hBOOL (tptp.hAPP @t1081 @t365)) @t1083))) % 54.75/54.96 (assume @p667 (forall @t476 (tptp.hBOOL (tptp.hAPP @t1084 @t363)))) % 54.75/54.96 (assume @p668 (forall @t476 (tptp.hBOOL (tptp.hAPP @t1084 @t371)))) % 54.75/54.96 (assume @p669 (forall @t379 (= @t968 (exists @t575 (= @t102 @t574))))) % 54.75/54.96 (assume @p670 (forall @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t357) @t356)) @t968))) % 54.75/54.96 (assume @p671 (forall @t541 (=> @t989 (tptp.hBOOL (tptp.hAPP @t988 @t542))))) % 54.75/54.96 (assume @p672 (forall @t541 (=> @t989 (tptp.hBOOL (tptp.hAPP @t988 @t540))))) % 54.75/54.96 (assume @p673 (forall @t517 (=> @t989 (tptp.hBOOL (tptp.hAPP @t1085 @t539))))) % 54.75/54.96 (assume @p674 (forall @t538 (=> @t989 (=> @t994 (tptp.hBOOL (tptp.hAPP @t1085 @t535)))))) % 54.75/54.96 (assume @p675 (forall @t1089 (=> @t1088 @t1086))) % 54.75/54.96 (assume @p676 (forall @t1089 (=> @t1088 @t1079))) % 54.75/54.96 (assume @p677 (forall @t1089 (=> @t1088 (not (=> @t1079 (not @t1086)))))) % 54.75/54.96 (assume @p678 (forall @t926 (= (tptp.hBOOL (tptp.hAPP @t721 @t629)) (and (tptp.hBOOL (tptp.hAPP @t1090 @t629)) (not (= @t57 @t629)))))) % 54.75/54.96 (assume @p679 (forall @t517 (=> @t1000 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP @t1091 @t510)) (tptp.hAPP @t1091 @t512)))))) % 54.75/54.96 (assume @p680 (forall (@list @t306 @t81 @t76 @t24 @t26) (=> @t180 (=> @t1092 (tptp.c_Natural_Oevaln @t26 @t24 @t306 @t81))))) % 54.75/54.96 (assume @p681 (forall @t635 (=> (or (tptp.hBOOL (tptp.hAPP @t642 @t629)) @t1093) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t922) @t732)) @t1035)))) % 54.75/54.96 (assume @p682 (forall @t1097 (=> @t950 (= @t1096 (tptp.hAPP (tptp.hAPP @t818 @t947) @t1095))))) % 54.75/54.96 (assume @p683 (forall @t400 (=> @t1102 (=> @t1101 (= (tptp.hAPP (tptp.hAPP @t818 @t1100) @t1099) (tptp.hAPP tptp.c_Int_Onat @t1098)))))) % 54.75/54.96 (assume @p684 (forall @t720 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t1103 @t719)) @t1093)))) % 54.75/54.96 (assume @p685 (forall @t720 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t719) @t15)) (tptp.hBOOL (tptp.hAPP @t1090 @t624)))))) % 54.75/54.96 (assume @p686 (forall @t392 (=> @t562 (= (= @t940 @t15) @t389)))) % 54.75/54.96 (assume @p687 (forall @t305 (=> @t938 (= (tptp.c_Groups_Osgn__class_Osgn @t289 @t384) @t384)))) % 54.75/54.96 (assume @p688 (forall @t552 (=> @t604 (= (tptp.c_Groups_Osgn__class_Osgn @t289 @t751) (tptp.hAPP (tptp.hAPP @t739 @t939) (tptp.c_Groups_Osgn__class_Osgn @t289 @t274)))))) % 54.75/54.96 (assume @p689 (forall @t1097 (=> @t1104 (= @t1096 (tptp.hAPP (tptp.hAPP @t818 (tptp.hAPP tptp.c_Int_Onat @t777)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t726 @t1094))))))) % 54.75/54.96 (assume @p690 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t1103 @t390)) @t1105)))) % 54.75/54.96 (assume @p691 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t390) @t15)) @t1106)))) % 54.75/54.96 (assume @p692 (forall @t552 (=> @t551 (=> @t1108 (=> @t1107 (tptp.hBOOL (tptp.hAPP @t957 @t323))))))) % 54.75/54.96 (assume @p693 (forall @t705 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t14) (=> (tptp.hBOOL (tptp.hAPP @t1103 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t1103 @t659)) (= (= @t1110 @t15) @t912)))))) % 54.75/54.96 (assume @p694 (forall @t327 (=> @t551 (=> @t1108 (=> @t1024 @t1111))))) % 54.75/54.96 (assume @p695 (forall @t1113 (=> @t551 (=> @t1112 (=> @t1020 @t1111))))) % 54.75/54.96 (assume @p696 (forall @t552 (=> @t551 (=> @t1115 (=> @t1114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t323) @t384))))))) % 54.75/54.96 (assume @p697 (forall @t552 (=> @t1117 (=> (or (and @t1108 @t1114) (and @t1115 @t1107)) @t1116)))) % 54.75/54.96 (assume @p698 (forall @t552 (=> @t1119 (=> (or (and @t1108 @t1107) (and @t1115 @t1114)) @t1118)))) % 54.75/54.96 (assume @p699 (forall @t433 (=> @t1123 (=> @t1023 (=> @t1056 (=> @t1107 @t1122)))))) % 54.75/54.96 (assume @p700 (forall @t433 (=> @t1123 (=> @t1023 (=> @t1056 (=> @t1108 @t1122)))))) % 54.75/54.96 (assume @p701 (forall @t346 (=> @t1119 (=> @t1020 (=> @t1125 @t1124))))) % 54.75/54.96 (assume @p702 (forall @t346 (=> @t1119 (=> @t1020 (=> @t1125 @t1126))))) % 54.75/54.96 (assume @p703 (forall @t327 (=> (tptp.class_Rings_Oordered__comm__semiring @t289) @t1127))) % 54.75/54.96 (assume @p704 (forall @t327 (=> @t1123 @t1127))) % 54.75/54.96 (assume @p705 (forall @t327 (=> @t1123 (=> @t1023 (=> @t1112 @t1126))))) % 54.75/54.96 (assume @p706 (forall @t552 (=> @t1119 (=> @t1115 (=> @t1114 @t1118))))) % 54.75/54.96 (assume @p707 (forall @t552 (=> @t1117 (=> @t1115 (=> @t1107 @t1116))))) % 54.75/54.96 (assume @p708 (forall @t552 (=> @t1117 (=> @t1108 (=> @t1114 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t788) @t384))))))) % 54.75/54.96 (assume @p709 (forall @t552 (=> @t1117 (=> @t1108 (=> @t1114 @t1116))))) % 54.75/54.96 (assume @p710 (forall @t552 (=> @t1117 (=> @t1108 (=> @t1107 @t1118))))) % 54.75/54.96 (assume @p711 (forall @t771 (=> @t892 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t843) @t15)) @t1130)))) % 54.75/54.96 (assume @p712 (forall @t771 (=> @t892 (= (tptp.hBOOL (tptp.hAPP @t1103 @t843)) @t1131)))) % 54.75/54.96 (assume @p713 (forall @t304 (=> @t885 (tptp.hBOOL (tptp.hAPP @t957 @t884))))) % 54.75/54.96 (assume @p714 (forall @t433 (=> @t492 (=> @t1023 @t498)))) % 54.75/54.96 (assume @p715 (forall @t433 (=> @t492 (=> @t491 (=> @t1056 @t495))))) % 54.75/54.96 (assume @p716 (forall @t305 (=> @t585 (tptp.hBOOL (tptp.hAPP @t957 @t736))))) % 54.75/54.96 (assume @p717 (forall @t305 (=> @t585 (not (tptp.hBOOL (tptp.hAPP @t1132 @t384)))))) % 54.75/54.96 (assume @p718 (forall @t392 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t1103 @t815)) @t1106)))) % 54.75/54.96 (assume @p719 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t1058 @t815)) @t1106)))) % 54.75/54.96 (assume @p720 (forall @t392 (=> @t832 (= (tptp.hBOOL (tptp.hAPP @t1066 @t15)) @t1105)))) % 54.75/54.96 (assume @p721 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t1066 @t54)) @t1105)))) % 54.75/54.96 (assume @p722 (forall @t379 (= (= @t979 @t315) (and @t395 @t394)))) % 54.75/54.96 (assume @p723 (forall @t646 (=> @t585 (tptp.hBOOL (tptp.hAPP @t957 @t644))))) % 54.75/54.96 (assume @p724 (forall @t921 (=> @t585 (tptp.hBOOL (tptp.hAPP @t957 @t648))))) % 54.75/54.96 (assume @p725 (forall @t517 (=> @t516 (=> @t725 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t992) @t991)))))) % 54.75/54.96 (assume @p726 (forall @t517 (=> @t516 (=> @t725 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t986) @t984)))))) % 54.75/54.96 (assume @p727 (forall @t354 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1045) @t1044)) @t1133))) % 54.75/54.96 (assume @p728 (forall @t358 (= @t1134 @t1133))) % 54.75/54.96 (assume @p729 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t449 @t979)) (and @t570 @t502)))) % 54.75/54.96 (assume @p730 (forall @t358 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t972) @t971)) @t468))) % 54.75/54.96 (assume @p731 (forall @t372 (= (tptp.hAPP (tptp.hAPP @t818 @t307) @t76) (tptp.hAPP @t360 @t820)))) % 54.75/54.96 (assume @p732 (forall @t372 (= (tptp.hAPP @t819 @t254) (tptp.hAPP @t362 @t820)))) % 54.75/54.96 (assume @p733 (= @t821 @t315)) % 54.75/54.96 (assume @p734 (forall @t372 (=> @t1080 @t460))) % 54.75/54.96 (assume @p735 (forall @t379 (=> @t968 @t521))) % 54.75/54.96 (assume @p736 (forall @t372 (=> @t460 @t1080))) % 54.75/54.96 (assume @p737 (forall @t372 (=> @t1079 @t509))) % 54.75/54.96 (assume @p738 (forall @t379 (= @t1135 @t468))) % 54.75/54.96 (assume @p739 (forall @t379 (= @t525 @t968))) % 54.75/54.96 (assume @p740 (forall @t523 (= @t466 @t1074))) % 54.75/54.96 (assume @p741 (forall @t77 (= @t254 @t1136))) % 54.75/54.96 (assume @p742 (forall @t77 (= @t254 @t1138))) % 54.75/54.96 (assume @p743 (forall @t400 (=> @t1102 (=> @t1101 (tptp.hBOOL (tptp.hAPP @t949 @t1139)))))) % 54.75/54.96 (assume @p744 (forall @t77 (tptp.hBOOL (tptp.hAPP @t949 @t639)))) % 54.75/54.96 (assume @p745 (forall @t693 (tptp.hBOOL (tptp.hAPP @t949 @t1140)))) % 54.75/54.96 (assume @p746 (forall @t1145 (= (exists @t8 (and @t1144 @t1143)) (exists @t8 @t1141)))) % 54.75/54.96 (assume @p747 (forall @t1145 (= (forall @t8 (=> @t1144 @t1143)) (forall @t8 @t1141)))) % 54.75/54.96 (assume @p748 (tptp.hBOOL (tptp.hAPP @t949 @t734))) % 54.75/54.96 (assume @p749 (forall (@list @t1146 @t57) (=> @t1093 (=> (tptp.hBOOL (tptp.hAPP @t949 @t1146)) (= (= @t732 @t1147) (= @t57 @t1146)))))) % 54.75/54.96 (assume @p750 (forall @t1145 (= @t1152 (exists @t8 (and @t1144 @t1148))))) % 54.75/54.96 (assume @p751 (forall @t1145 (= @t1153 (forall @t8 (=> @t1144 @t1148))))) % 54.75/54.96 (assume @p752 (forall @t663 (=> @t1051 (=> @t1050 (= (= @t1049 @t1048) @t678))))) % 54.75/54.96 (assume @p753 (forall (@list @t365 @t1094 @t679 @t1154) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1154) @t679)) (=> @t1155 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP (tptp.hAPP @t630 @t1154) @t1094)) @t681)))))) % 54.75/54.96 (assume @p754 (forall @t400 (=> @t1102 (=> @t1101 (tptp.hBOOL (tptp.hAPP @t949 @t1098)))))) % 54.75/54.96 (assume @p755 (forall @t372 (= @t1157 @t1156))) % 54.75/54.96 (assume @p756 (forall @t372 (= @t1156 @t1157))) % 54.75/54.96 (assume @p757 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t723 @t658) @t657) (tptp.hAPP @t625 @t1158)))) % 54.75/54.96 (assume @p758 (forall @t635 (= @t1035 (exists @t177 (= @t57 (tptp.hAPP @t631 @t714)))))) % 54.75/54.96 (assume @p759 (= @t1159 @t734)) % 54.75/54.96 (assume @p760 (= @t734 @t1159)) % 54.75/54.96 (assume @p761 (= @t821 @t827)) % 54.75/54.96 (assume @p762 (forall @t552 (=> @t551 (=> @t1115 @t549)))) % 54.75/54.96 (assume @p763 (forall @t552 (=> @t551 (=> @t550 (=> @t1114 @t546))))) % 54.75/54.96 (assume @p764 (forall @t327 (=> @t551 (=> @t1108 @t584)))) % 54.75/54.96 (assume @p765 (forall @t327 (=> @t551 (=> @t557 (=> @t1024 @t582))))) % 54.75/54.96 (assume @p766 (forall @t552 (=> @t551 (=> @t1108 @t556)))) % 54.75/54.96 (assume @p767 (forall @t552 (=> @t551 (=> @t557 (=> @t1107 @t554))))) % 54.75/54.96 (assume @p768 (forall @t501 (=> @t898 (=> @t1124 @t1160)))) % 54.75/54.96 (assume @p769 (forall @t500 (=> @t898 (=> @t1126 @t1160)))) % 54.75/54.96 (assume @p770 (forall @t501 (=> @t898 @t1162))) % 54.75/54.96 (assume @p771 (forall @t501 (=> @t1163 @t1162))) % 54.75/54.96 (assume @p772 (forall @t500 (=> @t898 @t1164))) % 54.75/54.96 (assume @p773 (forall @t500 (=> @t1163 @t1164))) % 54.75/54.96 (assume @p774 (forall @t433 (=> @t898 (=> @t1023 (=> @t497 (=> @t557 @t1166)))))) % 54.75/54.96 (assume @p775 (forall @t433 (=> @t898 (=> @t491 (=> @t1056 (=> @t1108 (=> @t904 @t1165))))))) % 54.75/54.96 (assume @p776 (forall @t433 (=> @t898 (=> @t491 (=> @t497 (=> @t1108 @t1166)))))) % 54.75/54.96 (assume @p777 (forall @t433 (=> @t898 (=> @t491 (=> @t497 (=> @t555 @t1166)))))) % 54.75/54.96 (assume @p778 (forall @t486 (=> @t892 (=> @t888 (= @t1168 @t1167))))) % 54.75/54.96 (assume @p779 (forall @t486 (=> @t892 (=> @t889 (= @t1168 @t1059))))) % 54.75/54.96 (assume @p780 (forall @t605 (=> @t885 (tptp.hBOOL (tptp.hAPP @t957 @t932))))) % 54.75/54.96 (assume @p781 (forall @t705 (=> @t892 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t913) @t15)) @t912)))) % 54.75/54.96 (assume @p782 (forall @t605 (=> @t604 (=> @t1172 (=> @t1171 (=> @t1170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1169) @t288)))))))) % 54.75/54.96 (assume @p783 (forall @t605 (=> @t604 (=> @t1172 (=> @t1171 (=> @t1170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t867) @t288)))))))) % 54.75/54.96 (assume @p784 (forall @t392 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t940) @t15)) @t558)))) % 54.75/54.96 (assume @p785 (forall @t392 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t560 @t940)) @t561)))) % 54.75/54.96 (assume @p786 (forall @t476 (=> @t1174 (=> @t1173 (tptp.hBOOL (tptp.hAPP @t881 @t820)))))) % 54.75/54.96 (assume @p787 (forall @t476 (=> @t1174 (=> @t1173 (tptp.hBOOL (tptp.hAPP @t456 @t981)))))) % 54.75/54.96 (assume @p788 (forall @t476 (=> @t1174 (=> @t1173 (tptp.hBOOL (tptp.hAPP @t456 @t820)))))) % 54.75/54.96 (assume @p789 (forall @t504 (= (tptp.hBOOL (tptp.hAPP @t1175 @t624)) @t376))) % 54.75/54.96 (assume @p790 (forall @t1178 (= (= @t730 @t19) @t1177))) % 54.75/54.96 (assume @p791 (forall @t693 (=> @t1104 @t1179))) % 54.75/54.96 (assume @p792 (forall @t733 (= (tptp.hBOOL (tptp.hAPP @t1180 @t57)) @t717))) % 54.75/54.96 (assume @p793 (forall @t693 @t1183)) % 54.75/54.96 (assume @p794 (forall @t927 (= (= @t636 @t57) (and (= @t347 @t732) @t1093)))) % 54.75/54.96 (assume @p795 (forall @t693 (and @t1183 (=> (not @t950) (= @t1181 @t624))))) % 54.75/54.96 (assume @p796 (forall @t635 (= @t919 @t1035))) % 54.75/54.96 (assume @p797 (forall @t635 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP @t631 @t734)) @t57)) @t634))) % 54.75/54.96 (assume @p798 (forall @t1184 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t679) @t365)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP @t680 @t734)) @t365))))) % 54.75/54.96 (assume @p799 (forall @t523 (= (tptp.hBOOL (tptp.hAPP @t1175 (tptp.hAPP @t726 @t636))) @t916))) % 54.75/54.96 (assume @p800 (forall @t77 (tptp.hBOOL (tptp.hAPP @t965 @t624)))) % 54.75/54.96 (assume @p801 (forall @t961 (=> (tptp.class_Rings_Olinordered__semiring__1 @t289) (=> @t1185 (=> (tptp.hBOOL (tptp.hAPP @t1002 @t181)) (=> @t959 (=> @t958 (=> @t955 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t954) @t181)))))))))) % 54.75/54.96 (assume @p802 (forall @t663 (=> @t1051 (=> @t1050 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1049) @t1048)) @t1187))))) % 54.75/54.96 (assume @p803 (forall @t635 (=> @t951 @t925))) % 54.75/54.96 (assume @p804 (forall @t952 (= (= @t922 @t347) @t1188))) % 54.75/54.96 (assume @p805 (forall (@list @t629 @t347) (= (= @t347 @t922) @t1188))) % 54.75/54.96 (assume @p806 (forall @t400 (=> @t1102 (=> @t1101 (= (tptp.hAPP (tptp.hAPP @t316 @t1100) @t1099) (tptp.hAPP tptp.c_Int_Onat @t1139)))))) % 54.75/54.96 (assume @p807 (forall @t1097 (=> @t950 (=> @t1189 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t682 @t1094)) (tptp.hAPP (tptp.hAPP @t316 @t947) @t1095)))))) % 54.75/54.96 (assume @p808 (forall @t693 (=> @t950 (tptp.hBOOL (tptp.hAPP @t642 @t918))))) % 54.75/54.96 (assume @p809 (forall @t77 (not (tptp.hBOOL (tptp.hAPP @t949 @t727))))) % 54.75/54.96 (assume @p810 (forall @t779 (=> @t773 (=> @t950 (= (tptp.hAPP @t643 @t947) @t778))))) % 54.75/54.96 (assume @p811 (forall @t304 (=> @t604 (=> @t557 (= @t939 @t736))))) % 54.75/54.96 (assume @p812 (forall @t1196 (=> @t1195 (=> @t1194 (=> (tptp.hBOOL (tptp.hAPP @t1191 @t181)) (tptp.hBOOL (tptp.hAPP @t1180 @t1190))))))) % 54.75/54.96 (assume @p813 (forall @t1196 (=> @t1195 (=> @t1194 (=> @t1198 (tptp.hBOOL (tptp.hAPP @t1197 @t734))))))) % 54.75/54.96 (assume @p814 (forall @t1212 (=> @t1211 (=> @t1208 (=> @t1206 (=> @t1205 (=> @t1203 (=> @t1202 @t1201)))))))) % 54.75/54.96 (assume @p815 (forall @t1218 (=> @t1217 (=> @t1216 (=> @t1215 (=> (tptp.hBOOL (tptp.hAPP @t1214 @t1204)) @t1213)))))) % 54.75/54.96 (assume @p816 (forall @t1212 (=> @t1211 (=> @t1221 (=> @t1220 (=> @t1198 (=> @t1203 (=> @t1202 @t1213)))))))) % 54.75/54.96 (assume @p817 (forall @t1218 (=> @t1217 (=> @t1205 (=> (tptp.hBOOL (tptp.hAPP @t1219 @t274)) (=> @t1206 @t1201)))))) % 54.75/54.96 (assume @p818 (forall @t1222 (=> @t1208 (=> @t1205 (=> @t1203 (tptp.hBOOL (tptp.hAPP @t1200 @t624))))))) % 54.75/54.96 (assume @p819 (forall @t1222 (=> @t1221 (=> @t1220 (=> @t1203 (tptp.hBOOL (tptp.hAPP @t949 @t1199))))))) % 54.75/54.96 (assume @p820 (forall @t358 (=> @t1037 (= @t1042 @t968)))) % 54.75/54.96 (assume @p821 (forall @t372 (=> @t1079 (=> @t1092 @t473)))) % 54.75/54.96 (assume @p822 (forall @t517 (=> @t989 (=> (tptp.hBOOL (tptp.hAPP @t1223 @t359)) (tptp.hBOOL (tptp.hAPP @t988 @t359)))))) % 54.75/54.96 (assume @p823 (forall @t372 (=> @t473 @t1079))) % 54.75/54.96 (assume @p824 (forall @t372 (or @t1079 @t1092))) % 54.75/54.96 (assume @p825 (forall @t77 (tptp.hBOOL (tptp.hAPP @t1084 @t76)))) % 54.75/54.96 (assume @p826 (forall @t1032 (=> @t1010 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t1007) @t2) @t1)) (and @t1009 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1008 @t1) @t2)))))))) % 54.75/54.96 (assume @p827 (forall @t358 (= @t1062 (or @t1060 @t348)))) % 54.75/54.96 (assume @p828 (forall (@list @t359 @t512 @t159 @t510) (= (tptp.hAPP @t1225 (tptp.hAPP @t1224 @t359)) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t527) @t159)) @t359)))) % 54.75/54.96 (assume @p829 (forall @t358 (=> @t1037 (= @t1062 @t348)))) % 54.75/54.96 (assume @p830 (forall @t358 (=> @t1037 (= @t1134 @t468)))) % 54.75/54.96 (assume @p831 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t949)) % 54.75/54.96 (assume @p832 (forall @t605 (=> @t1227 (=> @t1004 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1226) @t775)))))) % 54.75/54.96 (assume @p833 (forall @t705 (=> @t1230 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1229) @t1228)) @t1030)))) % 54.75/54.96 (assume @p834 (forall (@list @t102 @t87) (=> @t1237 (=> @t1236 (exists @t575 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t573) @t102)) (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t1234 @t573)) (not @t1233))) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t316 @t573) @t821))))))))) % 54.75/54.96 (assume @p835 (forall @t1250 (= (tptp.hBOOL (tptp.hAPP @t87 @t1249)) (and (=> @t1248 @t1236) (=> @t1247 (forall @t1243 (=> @t1246 @t1238))) (=> @t1245 (forall @t1243 (=> @t1242 @t1238))))))) % 54.75/54.96 (assume @p836 (forall @t1253 (=> @t1252 (=> @t1198 (=> @t1206 (tptp.hBOOL (tptp.hAPP @t949 @t1251))))))) % 54.75/54.96 (assume @p837 (forall @t1253 (=> @t1252 (=> @t1198 (=> @t1206 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1251) @t1254))))))) % 54.75/54.96 (assume @p838 (forall @t1255 (=> @t1252 (=> @t1215 (=> @t1216 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1254) @t1251))))))) % 54.75/54.96 (assume @p839 (forall @t552 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t1256 @t274) @t1256)))) % 54.75/54.96 (assume @p840 (forall @t304 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t384 @t181) @t384)))) % 54.75/54.96 (assume @p841 (forall @t304 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t181 @t384) @t181)))) % 54.75/54.96 (assume @p842 (forall @t304 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t181 @t181) @t384)))) % 54.75/54.96 (assume @p843 (forall @t1263 (=> @t1257 (=> @t1262 (=> @t1260 (= @t1258 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP (tptp.hAPP @t319 @t297) @t594) @t26))))))) % 54.75/54.96 (assume @p844 (forall @t500 (=> @t1257 (= @t1265 @t1258)))) % 54.75/54.96 (assume @p845 (forall @t327 (=> @t1257 (= @t1266 @t1258)))) % 54.75/54.96 (assume @p846 (forall @t327 (=> @t1257 (= @t1258 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1264 @t1259) @t26))))) % 54.75/54.96 (assume @p847 (forall @t327 (=> @t1257 (= @t1258 @t1265)))) % 54.75/54.96 (assume @p848 (forall @t327 (=> @t1257 (= @t1258 @t1266)))) % 54.75/54.96 (assume @p849 (forall @t710 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t345 @t274) @t1256)))) % 54.75/54.96 (assume @p850 (forall @t552 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t323 @t274) @t1256)))) % 54.75/54.96 (assume @p851 (forall @t1263 (=> @t1257 (=> @t1262 (=> @t1260 (= @t1267 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP (tptp.hAPP @t739 @t297) @t594) @t26))))))) % 54.75/54.96 (assume @p852 (forall @t500 (=> @t1257 (= @t1269 @t1267)))) % 54.75/54.96 (assume @p853 (forall @t500 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t856 @t817) (tptp.hAPP (tptp.hAPP @t739 @t1256) @t26))))) % 54.75/54.96 (assume @p854 (forall @t501 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t907 @t906) (tptp.hAPP @t905 @t1256))))) % 54.75/54.96 (assume @p855 (forall @t327 (=> @t1257 (= @t1267 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1268 @t1259) @t26))))) % 54.75/54.96 (assume @p856 (forall @t327 (=> @t1257 (= @t1267 @t1269)))) % 54.75/54.96 (assume @p857 (forall @t327 (=> @t1257 (= @t1267 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t744 @t1259) @t26))))) % 54.75/54.96 (assume @p858 (forall (@list @t297 @t274 @t181 @t289) (=> @t1271 (=> (= @t1256 (tptp.c_Divides_Odiv__class_Omod @t289 @t297 @t274)) (= @t1270 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t748 @t297) @t274)))))) % 54.75/54.96 (assume @p859 (forall @t552 (=> @t1271 (= @t1270 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t748 @t1256) @t274))))) % 54.75/54.96 (assume @p860 (forall @t1272 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t624 @t274) @t624))) % 54.75/54.96 (assume @p861 (forall @t182 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t181) @t624))) % 54.75/54.96 (assume @p862 (forall @t1278 (= @t1277 @t1275))) % 54.75/54.96 (assume @p863 (forall @t1278 (= @t1275 @t1277))) % 54.75/54.96 (assume @p864 (forall @t1283 (= @t1282 (tptp.hAPP @t726 @t1280)))) % 54.75/54.96 (assume @p865 (forall @t1283 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1279 @t1281) (tptp.hAPP @t726 @t1284)))) % 54.75/54.96 (assume @p866 (forall (@list @t306 @t288) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t726 @t1285) @t306) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t726 @t288) @t306)))) % 54.75/54.96 (assume @p867 (forall @t552 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t751 @t274) @t384)))) % 54.75/54.96 (assume @p868 (forall @t710 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t788 @t274) @t384)))) % 54.75/54.96 (assume @p869 (forall @t500 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t1286 @t274) @t1256)))) % 54.75/54.96 (assume @p870 (forall @t327 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t1287 @t274) @t1256)))) % 54.75/54.96 (assume @p871 (forall @t304 (=> @t1257 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t181 @t736) @t384)))) % 54.75/54.96 (assume @p872 (forall @t1289 (=> @t1288 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t306 @t359)) @t306))))) % 54.75/54.96 (assume @p873 (forall @t400 (=> @t1102 (=> @t1101 (tptp.hBOOL (tptp.hAPP @t949 @t1290)))))) % 54.75/54.96 (assume @p874 (forall @t1293 (=> @t1292 @t1291))) % 54.75/54.96 (assume @p875 (forall @t1293 (=> @t1295 @t1294))) % 54.75/54.96 (assume @p876 (forall @t1298 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t347 @t859) @t624) (exists @t1297 (= @t347 (tptp.hAPP (tptp.hAPP @t723 @t859) @t1296)))))) % 54.75/54.96 (assume @p877 (forall @t1303 (=> (not (= @t1302 @t624)) @t1300))) % 54.75/54.96 (assume @p878 (forall @t1303 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t824 @t531) @t624)) @t1300))) % 54.75/54.96 (assume @p879 (forall @t1283 (=> @t1307 (=> @t1305 @t1304)))) % 54.75/54.96 (assume @p880 (forall @t1293 (=> @t1292 (and @t1308 @t1291)))) % 54.75/54.96 (assume @p881 (forall @t1293 (=> @t1292 @t1308))) % 54.75/54.96 (assume @p882 (forall @t1283 (=> @t1311 (=> @t1310 @t1304)))) % 54.75/54.96 (assume @p883 (forall @t1293 (=> @t1295 (and @t1312 @t1294)))) % 54.75/54.96 (assume @p884 (forall @t1293 (=> @t1295 @t1312))) % 54.75/54.96 (assume @p885 (forall @t304 (=> @t1313 (= @t884 @t181)))) % 54.75/54.96 (assume @p886 (forall @t291 (=> @t1313 (= @t931 @t288)))) % 54.75/54.96 (assume @p887 (forall @t552 (=> @t1313 (= (tptp.hAPP @t744 @t751) @t751)))) % 54.75/54.96 (assume @p888 (forall @t291 (=> @t1227 (= (tptp.hAPP @t748 @t775) @t288)))) % 54.75/54.96 (assume @p889 (forall (@list @t16 @t1314 @t420 @t14) (=> (tptp.class_Groups_Ouminus @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t1316) @t1314) @t16) (tptp.hAPP @t758 @t1315))))) % 54.75/54.96 (assume @p890 (forall @t705 (=> @t1230 (= (= @t1229 @t1228) @t678)))) % 54.75/54.96 (assume @p891 (forall @t1283 (=> @t1195 (=> @t1319 (= @t1284 @t1318))))) % 54.75/54.96 (assume @p892 (forall (@list @t367 @t1326 @t1320 @t586) (=> (= @t586 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1327 @t1326)) @t367)) (=> (and (=> @t1324 (and @t1101 (tptp.hBOOL (tptp.hAPP @t694 @t1320)))) (=> @t1325 (and (tptp.hBOOL (tptp.hAPP @t1323 @t367)) (tptp.hBOOL (tptp.hAPP @t1322 @t624))))) (=> @t1321 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t586 @t1320) @t367)))))) % 54.75/54.96 (assume @p893 (forall @t1255 (=> @t1252 (=> @t1215 (=> @t1216 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1251) @t624))))))) % 54.75/54.96 (assume @p894 (forall @t1331 (and (=> @t1329 (= @t1328 @t1299)) (=> @t1330 (= @t1328 @t1302))))) % 54.75/54.96 (assume @p895 (forall @t1336 (=> @t1247 (= @t1335 (forall @t1243 (=> @t1246 @t1332)))))) % 54.75/54.96 (assume @p896 (forall @t1336 (=> @t1245 (= @t1335 (forall @t1243 (=> @t1242 @t1332)))))) % 54.75/54.96 (assume @p897 (forall @t1339 (=> @t1252 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t1254) (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1209 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1338 @t26))) @t1284))))) % 54.75/54.96 (assume @p898 (forall @t400 (=> @t1102 (=> @t1101 (tptp.hBOOL (tptp.hAPP @t949 @t1340)))))) % 54.75/54.96 (assume @p899 (forall (@list @t1341 @t367 @t1320 @t586) (=> (= @t586 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1327 @t367)) @t1341)) (=> (and (=> @t1324 (and (tptp.hBOOL (tptp.hAPP @t949 @t1341)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1341) @t1320)))) (=> @t1325 (and (tptp.hBOOL (tptp.hAPP @t1323 @t1341)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1341) @t624))))) (=> @t1321 (= (tptp.hAPP (tptp.hAPP @t1333 @t586) @t1320) @t367)))))) % 54.75/54.96 (assume @p900 (forall @t1250 (= (tptp.hBOOL @t1334) (and (=> @t1248 @t1342) (=> @t1247 (forall @t1235 (=> (exists @t569 @t1246) @t1233))) (=> @t1245 (forall @t1235 (=> (exists @t569 @t1242) @t1233))))))) % 54.75/54.96 (assume @p901 (forall (@list @t102 @t347 @t87) (= (tptp.hBOOL (tptp.hAPP @t87 @t1344)) (or (and @t376 @t453) (exists @t1297 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.hAPP @t1043 @t1296)) @t347)) (tptp.hBOOL (tptp.hAPP @t467 (tptp.hAPP @t1043 (tptp.hAPP tptp.c_Nat_OSuc @t1296)))) (tptp.hBOOL (tptp.hAPP @t87 @t1296)))))))) % 54.75/54.96 (assume @p902 (forall @t1278 (= (tptp.hAPP (tptp.hAPP @t1343 @t1348) @t26) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1347 @t26)) @t1346)) (tptp.hAPP (tptp.hAPP @t1343 (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t181 @t26)) @t1345)) @t26))))) % 54.75/54.96 (assume @p903 (forall @t1283 (= (tptp.hAPP @t625 @t1351) (tptp.hAPP (tptp.hAPP @t1333 @t1350) @t1349)))) % 54.75/54.96 (assume @p904 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t1333 @t658) @t657) (tptp.hAPP @t625 (tptp.hAPP (tptp.hAPP @t1343 @t288) @t367))))) % 54.75/54.96 (assume @p905 (forall @t1278 (= (tptp.hAPP (tptp.hAPP @t1343 @t1353) @t26) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1352 @t1346)) (tptp.hAPP (tptp.hAPP @t1343 (tptp.hAPP @t1352 @t1345)) @t26))))) % 54.75/54.96 (assume @p906 (forall @t1278 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t181 @t1356) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1355 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1351 @t26))) @t1354)))) % 54.75/54.96 (assume @p907 (forall @t372 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1358) @t306)))) % 54.75/54.96 (assume @p908 (forall @t364 (=> @t1079 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.hAPP @t1357 @t359)) (tptp.hAPP @t1359 @t359)))))) % 54.75/54.96 (assume @p909 (forall @t1272 (= (tptp.hAPP (tptp.hAPP @t1333 @t624) @t274) @t624))) % 54.75/54.96 (assume @p910 (forall @t372 (= @t1362 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1361 @t76)))) % 54.75/54.96 (assume @p911 (forall @t1278 (= (tptp.hAPP @t1347 @t1356) (tptp.hAPP (tptp.hAPP @t1343 @t1351) @t26)))) % 54.75/54.96 (assume @p912 (forall @t372 @t1363)) % 54.75/54.96 (assume @p913 (forall @t372 (tptp.hBOOL (tptp.hAPP @t1364 @t306)))) % 54.75/54.96 (assume @p914 (forall @t1071 (= (tptp.hAPP @t990 @t1360) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1070 @t1069)))) % 54.75/54.96 (assume @p915 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t818 @t1360) @t359) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1072 @t982)))) % 54.75/54.96 (assume @p916 (forall @t1283 (= (tptp.hAPP @t1365 @t1281) @t1338))) % 54.75/54.96 (assume @p917 (forall @t1283 (= @t1367 @t1366))) % 54.75/54.96 (assume @p918 (forall @t304 (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t1368 @t384) @t181) @t384)))) % 54.75/54.96 (assume @p919 (forall @t304 (=> @t1257 (= (tptp.hAPP @t1369 @t384) @t384)))) % 54.75/54.96 (assume @p920 (forall @t304 (=> @t1257 (= (tptp.hAPP @t1369 @t736) @t181)))) % 54.75/54.96 (assume @p921 (forall @t400 (=> @t1102 (= @t1373 @t1370)))) % 54.75/54.96 (assume @p922 (forall @t400 (=> @t1102 (=> @t1101 (= @t1370 @t1373))))) % 54.75/54.96 (assume @p923 (forall @t308 (= (tptp.hAPP @t1357 @t315) @t306))) % 54.75/54.96 (assume @p924 (forall @t372 @t1374)) % 54.75/54.96 (assume @p925 (forall @t1071 (and (=> @t1377 (= @t1375 @t19)) (=> (not @t1377) @t1376)))) % 54.75/54.96 (assume @p926 (forall @t308 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t306 @t315) @t19))) % 54.75/54.96 (assume @p927 (forall @t372 (and (=> @t1378 (= @t1362 @t19)) (=> (not @t1378) (= @t1362 @t1361))))) % 54.75/54.96 (assume @p928 (forall @t400 (=> @t1102 (=> @t1101 (tptp.hBOOL (tptp.hAPP @t949 @t1372)))))) % 54.75/54.96 (assume @p929 (forall @t476 (=> @t506 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1360) @t76))))) % 54.75/54.96 (assume @p930 (forall @t1385 (=> @t1384 (= @t1382 (tptp.hBOOL (tptp.hAPP @t1379 @t624)))))) % 54.75/54.96 (assume @p931 (forall @t1385 (=> @t1387 (= @t1382 (tptp.hBOOL (tptp.hAPP @t642 @t54)))))) % 54.75/54.96 (assume @p932 (forall @t1283 (=> @t1388 (=> @t1295 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1338) @t624)))))) % 54.75/54.96 (assume @p933 (forall @t182 (=> @t1390 (= (tptp.hAPP @t1337 @t181) @t734)))) % 54.75/54.96 (assume @p934 (forall @t1298 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t347 @t859) @t19) (exists @t1297 (= @t347 (tptp.hAPP (tptp.hAPP @t818 @t859) @t1296)))))) % 54.75/54.96 (assume @p935 (forall @t182 (and (= (tptp.hAPP @t1337 @t624) @t624) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t624) @t181)))) % 54.75/54.96 (assume @p936 (forall @t1283 (= (tptp.hAPP (tptp.hAPP @t1333 @t1284) @t274) @t624))) % 54.75/54.96 (assume @p937 (forall @t1392 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1391 @t76) @t1360))) % 54.75/54.96 (assume @p938 (forall @t1278 (= (tptp.hAPP (tptp.hAPP @t1333 @t1318) @t26) (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1337 @t26)) @t1394)) (tptp.hAPP (tptp.hAPP @t1333 (tptp.hAPP (tptp.hAPP @t630 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t26)) @t1273)) @t26))))) % 54.75/54.96 (assume @p939 (forall @t1283 (= (tptp.hAPP @t625 @t1354) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1350 @t1349)))) % 54.75/54.96 (assume @p940 (forall @t400 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t658 @t657) (tptp.hAPP @t625 @t1395)))) % 54.75/54.96 (assume @p941 (forall @t501 (=> @t1257 @t1400))) % 54.75/54.96 (assume @p942 (forall @t501 (=> @t1257 (=> @t1399 (= (tptp.hAPP (tptp.hAPP @t1368 @t856) @t817) @t1396))))) % 54.75/54.96 (assume @p943 (forall @t710 (=> @t1257 (=> @t846 (= (tptp.hAPP (tptp.hAPP @t1368 @t788) @t274) @t181))))) % 54.75/54.96 (assume @p944 (forall @t710 (=> @t1257 (=> @t846 (= (tptp.hAPP @t1401 @t274) @t181))))) % 54.75/54.96 (assume @p945 (forall @t501 (=> @t1257 (and (=> @t1398 (= @t1397 @t384)) @t1400)))) % 54.75/54.96 (assume @p946 (forall @t304 (=> @t1257 (=> @t848 (= (tptp.hAPP @t1369 @t181) @t736))))) % 54.75/54.96 (assume @p947 (forall @t552 (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t1368 @t1256) @t274) @t384)))) % 54.75/54.96 (assume @p948 (forall @t364 (=> @t1403 (=> @t1079 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.hAPP @t1402 @t76)) (tptp.hAPP @t1402 @t306))))))) % 54.75/54.96 (assume @p949 (forall @t476 (=> @t506 (= (tptp.hAPP (tptp.hAPP @t1343 @t820) @t76) @t306)))) % 54.75/54.96 (assume @p950 (forall @t476 (=> @t506 (= (tptp.hAPP (tptp.hAPP @t1343 @t981) @t76) @t306)))) % 54.75/54.96 (assume @p951 (forall @t1071 (=> @t725 @t1376))) % 54.75/54.96 (assume @p952 (forall @t476 (=> @t1405 (=> @t1403 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1358) @t306)))))) % 54.75/54.96 (assume @p953 (forall @t1407 (= (= @t1406 @t624) (or @t1248 (and (tptp.hBOOL (tptp.hAPP @t949 @t434)) (tptp.hBOOL (tptp.hAPP @t729 @t349))) (and @t1177 (tptp.hBOOL (tptp.hAPP @t1241 @t434))))))) % 54.75/54.96 (assume @p954 (forall @t1385 (=> @t1384 (= @t1409 @t1408)))) % 54.75/54.96 (assume @p955 (forall (@list @t434 @t349) (=> @t1247 (= (tptp.hBOOL (tptp.hAPP @t642 @t1406)) (tptp.hBOOL (tptp.hAPP @t1410 @t434)))))) % 54.75/54.96 (assume @p956 (forall @t1412 (=> @t1408 (= (tptp.hBOOL (tptp.hAPP @t642 @t1381)) (and (tptp.hBOOL (tptp.hAPP @t1411 @t54)) @t1384))))) % 54.75/54.96 (assume @p957 (forall @t1415 (=> @t1311 (=> @t1203 (=> @t1202 (tptp.hBOOL (tptp.hAPP @t1414 @t1413))))))) % 54.75/54.96 (assume @p958 (forall @t1283 (=> @t1311 (=> @t1292 @t1416)))) % 54.75/54.96 (assume @p959 (forall @t1283 (=> @t1311 (=> @t1310 @t1417)))) % 54.75/54.96 (assume @p960 (forall @t1385 (=> @t1387 (= @t1409 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t54) @t624)))))) % 54.75/54.96 (assume @p961 (forall @t1283 (=> @t1307 (=> @t1295 @t1416)))) % 54.75/54.96 (assume @p962 (forall @t1415 (=> @t1388 (=> @t1203 (=> @t1202 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1413) @t1338))))))) % 54.75/54.96 (assume @p963 (forall @t1283 (=> @t1307 (=> @t1305 @t1417)))) % 54.75/54.96 (assume @p964 (forall @t1420 (=> @t1419 (=> @t1295 (tptp.hBOOL (tptp.hAPP @t1414 @t1418)))))) % 54.75/54.96 (assume @p965 (forall @t1420 (=> @t1419 (=> @t1292 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1418) @t1338)))))) % 54.75/54.96 (assume @p966 (forall @t476 (=> @t506 (tptp.hBOOL (tptp.hAPP @t1364 @t76))))) % 54.75/54.96 (assume @p967 (forall (@list @t359 @t288) (=> (tptp.hBOOL (tptp.hAPP @t642 @t288)) (=> (tptp.hBOOL (tptp.hAPP @t880 @t359)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP @t1371 @t359)) @t288)))))) % 54.75/54.96 (assume @p968 (forall @t1339 (=> @t1252 (= (tptp.hAPP @t1337 @t1254) (tptp.hAPP (tptp.hAPP @t1333 @t1338) @t26))))) % 54.75/54.96 (assume @p969 (forall @t1392 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1391) @t76) @t1362))) % 54.75/54.96 (assume @p970 (forall @t1283 (= @t181 @t1421))) % 54.75/54.96 (assume @p971 (forall @t1278 (= (tptp.hAPP (tptp.hAPP @t1333 @t1276) @t26) (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1192 @t1394)) (tptp.hAPP (tptp.hAPP @t1333 @t1274) @t26))))) % 54.75/54.96 (assume @p972 (forall (@list @t359 @t181 @t274) (= (tptp.hAPP (tptp.hAPP @t630 @t1421) @t359) @t1422))) % 54.75/54.96 (assume @p973 (forall (@list @t359 @t274 @t181) (= (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t723 @t1338) @t274)) @t1284)) @t359) @t1422))) % 54.75/54.96 (assume @p974 (forall @t346 (=> @t1257 (=> @t846 (= (tptp.hAPP (tptp.hAPP @t1368 @t1287) @t274) @t1423))))) % 54.75/54.96 (assume @p975 (forall @t346 (=> @t1257 (=> @t846 (= (tptp.hAPP (tptp.hAPP @t1368 @t1286) @t274) @t1423))))) % 54.75/54.96 (assume @p976 (forall @t710 (=> @t1257 (=> @t846 (= (tptp.hAPP (tptp.hAPP @t1368 @t323) @t274) @t1424))))) % 54.75/54.96 (assume @p977 (forall @t710 (=> @t1257 (=> @t846 (= (tptp.hAPP (tptp.hAPP @t1368 @t345) @t274) @t1424))))) % 54.75/54.96 (assume @p978 (forall @t552 (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t319 @t1256) @t1425) @t181)))) % 54.75/54.96 (assume @p979 (forall @t710 (=> @t1257 (= @t1426 @t181)))) % 54.75/54.96 (assume @p980 (forall @t552 (=> @t1257 (= @t1427 @t181)))) % 54.75/54.96 (assume @p981 (forall @t346 (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t319 @t1426) @t26) @t340)))) % 54.75/54.96 (assume @p982 (forall @t327 (=> @t1257 (= (tptp.hAPP (tptp.hAPP @t319 @t1427) @t26) @t340)))) % 54.75/54.96 (assume @p983 (forall @t1250 (= (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1343 @t102) @t349))) (and (=> @t1060 @t453) (=> @t1430 (forall @t1243 (=> @t1429 (=> @t1428 @t1233)))))))) % 54.75/54.96 (assume @p984 (forall @t1250 (= (tptp.hBOOL (tptp.hAPP @t87 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t102 @t349))) (and (=> @t1060 @t1236) (=> @t1430 (forall @t1243 (=> @t1429 (=> @t1428 @t1238)))))))) % 54.75/54.96 (assume @p985 (forall @t1253 (=> @t1432 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t914) @t274)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1431) @t1356)))))) % 54.75/54.96 (assume @p986 (forall (@list @t306 @t359) (=> (tptp.hBOOL (tptp.hAPP @t1404 @t359)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t1070) @t359) @t821)))) % 54.75/54.96 (assume @p987 (forall @t400 (=> @t1102 (=> @t1101 (= @t1434 @t1433))))) % 54.75/54.96 (assume @p988 (forall @t400 (=> @t1102 (=> @t1101 (= @t1433 @t1434))))) % 54.75/54.96 (assume @p989 (forall (@list @t347 @t1435 @t102) (=> @t502 (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.hAPP @t1043 @t1435)) @t347)) (tptp.hBOOL (tptp.hAPP @t467 (tptp.hAPP @t1043 (tptp.hAPP tptp.c_Nat_OSuc @t1435))))) (= @t1435 @t1344))))) % 54.75/54.96 (assume @p990 (forall @t1331 (and (=> @t1329 (= @t1437 @t1438)) (=> @t1330 (= @t1437 (tptp.hAPP @t726 (tptp.hAPP @t1436 @t1301))))))) % 54.75/54.96 (assume @p991 (forall @t1293 (=> @t1444 (and (=> @t1442 (= @t1366 @t1439)) (=> @t1443 (= @t1366 @t1441)))))) % 54.75/54.96 (assume @p992 (forall @t1293 (=> @t1444 (and (=> @t1442 (= @t1367 @t1439)) (=> @t1443 (= @t1367 @t1441)))))) % 54.75/54.96 (assume @p993 (forall @t476 (=> @t506 (=> @t1092 @t1449)))) % 54.75/54.96 (assume @p994 (forall @t552 (=> @t1257 (= @t181 @t1427)))) % 54.75/54.96 (assume @p995 (forall @t400 (=> @t1102 (=> @t1101 (= (tptp.hAPP (tptp.hAPP @t1445 @t1100) @t1099) (tptp.hAPP tptp.c_Int_Onat @t1340)))))) % 54.75/54.96 (assume @p996 (forall @t1455 (=> @t1454 (=> (forall @t8 (=> @t1143 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t1451 @t859))))) (=> @t1453 (forall @t8 (=> @t1143 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t1451 @t1450)))))))))) % 54.75/54.96 (assume @p997 (forall @t605 (=> @t1458 (=> (forall @t1457 (=> (tptp.hBOOL (tptp.hAPP @t553 @t1456)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1456) @t736)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 (tptp.hAPP (tptp.hAPP @t739 @t1456) @t288)) @t367))))) @t1004)))) % 54.75/54.96 (assume @p998 (forall @t517 (= @t1461 (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP @t1459 @t359)) @t512)))) % 54.75/54.96 (assume @p999 (forall @t864 (=> @t1465 (=> @t1464 (= @t767 @t862))))) % 54.75/54.96 (assume @p1000 (forall @t783 (=> @t773 (= (tptp.hAPP @t772 (tptp.hAPP (tptp.hAPP @t1440 @t679) @t365)) (tptp.hAPP (tptp.hAPP @t1466 @t780) @t778))))) % 54.75/54.96 (assume @p1001 (forall (@list @t16 @t1467 @t1314 @t420 @t14) (=> (tptp.class_Groups_Ominus @t14) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1316) @t1314) @t1467) @t16) (tptp.hAPP (tptp.hAPP @t1462 @t1315) @t1468))))) % 54.75/54.96 (assume @p1002 (forall (@list @t306 @t76 @t289) (=> @t773 (=> @t1092 (= (tptp.hAPP @t643 @t1447) (tptp.hAPP (tptp.hAPP @t1466 @t644) @t648)))))) % 54.75/54.96 (assume @p1003 (forall @t476 (=> @t1092 (= (tptp.hAPP (tptp.hAPP @t1440 @t640) @t639) (tptp.hAPP @t625 @t1447))))) % 54.75/54.96 (assume @p1004 (forall @t864 (=> @t832 (=> @t1464 (= @t1059 @t1470))))) % 54.75/54.96 (assume @p1005 (forall @t771 (=> @t816 (= @t1471 @t767)))) % 54.75/54.96 (assume @p1006 (forall @t771 (=> @t1465 (= @t767 @t1471)))) % 54.75/54.96 (assume @p1007 (forall @t304 (=> @t812 (= (tptp.hAPP @t1472 @t181) @t384)))) % 54.75/54.96 (assume @p1008 (forall @t304 (=> @t812 (= (tptp.hAPP @t1472 @t384) @t181)))) % 54.75/54.96 (assume @p1009 (forall @t864 (=> @t832 (=> @t1464 (= @t481 @t1473))))) % 54.75/54.96 (assume @p1010 (forall @t552 (=> @t812 (= (tptp.hAPP @t1474 @t274) @t181)))) % 54.75/54.96 (assume @p1011 (forall @t552 (=> @t812 (= (tptp.hAPP (tptp.hAPP @t319 @t1475) @t274) @t181)))) % 54.75/54.96 (assume @p1012 (forall @t552 (=> @t838 (= (tptp.hAPP @t748 @t1475) @t1477)))) % 54.75/54.96 (assume @p1013 (forall @t1263 (=> @t1271 (=> @t1262 (=> @t1260 (= @t1478 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP (tptp.hAPP @t1466 @t297) @t594) @t26))))))) % 54.75/54.96 (assume @p1014 (forall @t327 (=> @t1271 (= @t1478 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1479 @t1259) @t26))))) % 54.75/54.96 (assume @p1015 (forall @t327 (=> @t1271 (= @t1478 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1479 @t274) @t26))))) % 54.75/54.96 (assume @p1016 (forall @t327 (=> @t1271 (= @t1478 (tptp.c_Divides_Odiv__class_Omod @t289 (tptp.hAPP @t1472 @t1259) @t26))))) % 54.75/54.96 (assume @p1017 (forall @t372 (=> @t1482 (=> (= @t1481 @t19) @t473)))) % 54.75/54.96 (assume @p1018 (forall @t308 (= (tptp.hAPP @t1446 @t306) @t19))) % 54.75/54.96 (assume @p1019 (forall @t308 (= (tptp.hAPP @t1446 @t19) @t306))) % 54.75/54.96 (assume @p1020 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t1445 @t19) @t76) @t19))) % 54.75/54.96 (assume @p1021 (forall @t372 (= (tptp.hAPP @t1483 @t254) @t1447))) % 54.75/54.96 (assume @p1022 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t1445 @t1484) (tptp.hAPP tptp.c_Nat_OSuc @t359)) (tptp.hAPP (tptp.hAPP @t1445 @t1447) @t359)))) % 54.75/54.96 (assume @p1023 (forall @t1488 (=> @t460 (=> (tptp.hBOOL (tptp.hAPP @t459 @t531)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1487) @t1486)))))) % 54.75/54.96 (assume @p1024 (forall (@list @t76 @t359 @t512) (=> @t514 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP @t1489 @t76)) @t359))))) % 54.75/54.96 (assume @p1025 (forall @t372 @t1492)) % 54.75/54.96 (assume @p1026 (forall @t372 (and @t1363 @t1492))) % 54.75/54.96 (assume @p1027 (forall @t372 (= (tptp.hAPP (tptp.hAPP @t1445 @t363) @t76) @t306))) % 54.75/54.96 (assume @p1028 (forall @t476 (= (tptp.hAPP @t1493 @t76) @t306))) % 54.75/54.96 (assume @p1029 (forall @t517 (= @t1461 (tptp.hAPP @t1459 @t539)))) % 54.75/54.96 (assume @p1030 (forall @t1071 (= (tptp.hAPP (tptp.hAPP @t1445 @t1494) @t530) @t1447))) % 54.75/54.96 (assume @p1031 (forall @t1089 (= (tptp.hAPP @t1495 @t361) @t1447))) % 54.75/54.96 (assume @p1032 (forall @t372 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1447) @t306)))) % 54.75/54.96 (assume @p1033 (forall @t1488 (=> @t1079 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1487) @t1486))))) % 54.75/54.96 (assume @p1034 (forall @t1488 (=> @t1079 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.hAPP @t1446 @t531)) (tptp.hAPP @t1480 @t531)))))) % 54.75/54.96 (assume @p1035 (forall @t933 (=> (tptp.hBOOL (tptp.hAPP @t988 @t76)) (= (tptp.hAPP @t1480 @t1496) @t510)))) % 54.75/54.96 (assume @p1036 (forall @t358 (=> @t1503 (=> @t1502 (= (= @t1500 @t1498) @t348))))) % 54.75/54.96 (assume @p1037 (forall @t1071 (=> (tptp.hBOOL (tptp.hAPP @t993 @t306)) (=> @t1086 (= (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP @t1446 @t359)) (tptp.hAPP @t1480 @t359)) @t1447))))) % 54.75/54.96 (assume @p1038 (forall @t358 (=> @t1503 (=> @t1502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1500) @t1498)) @t968))))) % 54.75/54.96 (assume @p1039 (forall @t476 (=> @t1092 @t1491))) % 54.75/54.96 (assume @p1040 (forall @t875 (= (tptp.hAPP (tptp.hAPP @t723 @t1504) @t679) (tptp.hAPP (tptp.hAPP @t1440 @t874) @t873)))) % 54.75/54.96 (assume @p1041 (forall @t878 (= (tptp.hAPP @t781 @t1504) (tptp.hAPP (tptp.hAPP @t1440 @t877) @t876)))) % 54.75/54.96 (assume @p1042 (forall @t1071 (= (tptp.hAPP @t990 @t1447) (tptp.hAPP (tptp.hAPP @t1445 @t1070) @t1069)))) % 54.75/54.96 (assume @p1043 (forall @t364 (= (tptp.hAPP (tptp.hAPP @t818 @t1447) @t359) (tptp.hAPP (tptp.hAPP @t1445 @t1072) @t982)))) % 54.75/54.96 (assume @p1044 (forall @t1508 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1440 @t1285) @t367) @t306) @t1507))) % 54.75/54.96 (assume @p1045 (forall (@list @t306 @t367 @t288) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t1505 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t367 @t306)) @t306) @t1507))) % 54.75/54.96 (assume @p1046 (forall (@list @t365 @t1094) (=> @t1189 (=> @t1155 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1509 @t1094)) (tptp.hAPP (tptp.hAPP @t1445 @t947) @t1095)))))) % 54.75/54.96 (assume @p1047 (forall (@list @t659 @t16 @t87) (= (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t625 @t1512))) (and (=> (tptp.hBOOL (tptp.hAPP @t1510 @t16)) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t1440 @t662) @t661)))) (=> @t660 @t1342))))) % 54.75/54.96 (assume @p1048 (forall @t771 (=> @t832 (= @t1059 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1463) @t15)))))) % 54.75/54.96 (assume @p1049 (forall @t771 (=> @t832 (= @t481 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t1463) @t15)))))) % 54.75/54.96 (assume @p1050 (forall @t1519 (=> @t1518 (= @t1517 (= @t51 @t1514))))) % 54.75/54.96 (assume @p1051 (forall @t1519 (=> @t1518 (= @t1517 (= @t1520 @t859))))) % 54.75/54.96 (assume @p1052 (forall @t304 (=> @t812 (= (tptp.hAPP (tptp.hAPP @t1466 @t384) @t181) @t754)))) % 54.75/54.96 (assume @p1053 (forall @t552 (=> @t812 @t1521))) % 54.75/54.96 (assume @p1054 (forall @t552 (=> @t838 @t1521))) % 54.75/54.96 (assume @p1055 (forall @t552 (=> @t812 (= (tptp.hAPP @t1472 @t749) @t323)))) % 54.75/54.96 (assume @p1056 (forall @t605 (=> @t776 (= @t1524 (tptp.hAPP @t1522 @t1226))))) % 54.75/54.96 (assume @p1057 (forall @t1527 (= @t1526 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP (tptp.hAPP @t1440 @t349) @t1525)) @t624))))) % 54.75/54.96 (assume @p1058 (forall @t476 (=> @t506 (=> @t1403 (tptp.hBOOL (tptp.hAPP @t1528 @t306)))))) % 54.75/54.96 (assume @p1059 (forall @t523 (= (tptp.hBOOL (tptp.hAPP @t449 @t1529)) @t468))) % 54.75/54.96 (assume @p1060 (forall @t372 (tptp.hBOOL (tptp.hAPP @t1528 @t307)))) % 54.75/54.96 (assume @p1061 (forall @t476 (= (tptp.hAPP @t1480 @t371) @t19))) % 54.75/54.96 (assume @p1062 (forall @t372 (=> @t1079 @t1482))) % 54.75/54.96 (assume @p1063 (forall @t379 (= (= @t1530 @t19) @t968))) % 54.75/54.96 (assume @p1064 (forall @t1537 (= (tptp.hBOOL (tptp.hAPP @t1536 @t1535)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1533) @t1531))))) % 54.75/54.96 (assume @p1065 (forall @t372 (=> @t508 @t1538))) % 54.75/54.96 (assume @p1066 (forall @t476 (=> @t1092 (= @t1484 (tptp.hAPP tptp.c_Nat_OSuc @t1447))))) % 54.75/54.96 (assume @p1067 (forall @t358 (=> @t1503 (=> @t1502 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1500) @t1498)) @t468))))) % 54.75/54.96 (assume @p1068 (forall @t1278 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t181) @t274)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t26) @t181)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP (tptp.hAPP @t1445 @t181) @t26)) (tptp.hAPP (tptp.hAPP @t1445 @t274) @t26))))))) % 54.75/54.96 (assume @p1069 (forall @t1543 (=> @t1542 (= @t1541 @t1540)))) % 54.75/54.96 (assume @p1070 (forall @t1543 (=> @t1542 (= @t1540 @t1541)))) % 54.75/54.96 (assume @p1071 (forall @t1543 (=> @t1542 (= @t1545 @t1544)))) % 54.75/54.96 (assume @p1072 (forall @t1537 (=> @t1548 (= (= @t1546 @t349) (= @t1531 (tptp.hAPP @t355 @t434)))))) % 54.75/54.96 (assume @p1073 (forall @t476 (=> @t1092 (= (tptp.hAPP (tptp.hAPP @t316 @t1447) @t76) @t306)))) % 54.75/54.96 (assume @p1074 (forall (@list @t434 @t1531 @t349) (=> (tptp.hBOOL (tptp.hAPP @t1501 @t1531)) (= (tptp.hBOOL (tptp.hAPP @t1547 @t1535)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1533) @t1531)))))) % 54.75/54.96 (assume @p1075 (forall @t1543 (=> @t1542 (= @t1544 @t1545)))) % 54.75/54.96 (assume @p1076 (forall @t476 (=> @t1092 @t1538))) % 54.75/54.96 (assume @p1077 (forall @t1392 (=> @t1086 (tptp.hBOOL (tptp.hAPP @t974 (tptp.hAPP @t1493 @t359)))))) % 54.75/54.96 (assume @p1078 (forall (@list @t434 @t349 @t1531) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1535) @t434)) (tptp.hBOOL (tptp.hAPP @t1549 @t1533))))) % 54.75/54.96 (assume @p1079 (forall @t1543 (=> @t1542 (= (tptp.hAPP @t1459 @t1539) (tptp.hAPP (tptp.hAPP @t1445 @t536) @t512))))) % 54.75/54.96 (assume @p1080 (forall @t684 (= @t1551 @t1550))) % 54.75/54.96 (assume @p1081 (forall @t684 (= @t1550 @t1551))) % 54.75/54.96 (assume @p1082 (forall @t372 (= (tptp.hAPP @t1446 @t254) (tptp.hAPP (tptp.hAPP @t1445 @t1552) @t76)))) % 54.75/54.96 (assume @p1083 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t1445 @t254) @t821) @t76))) % 54.75/54.96 (assume @p1084 (forall @t372 (= @t1360 (tptp.hAPP @t1446 @t1553)))) % 54.75/54.96 (assume @p1085 (forall @t476 (= (tptp.hAPP @t980 @t1358) @t1554))) % 54.75/54.96 (assume @p1086 (forall @t372 (= @t1553 @t1554))) % 54.75/54.96 (assume @p1087 (forall @t1557 @t1556)) % 54.75/54.96 (assume @p1088 (forall @t400 (= (tptp.c_Nat__Transfer_Otsub @t658 @t657) (tptp.hAPP @t625 (tptp.hAPP (tptp.hAPP @t1445 @t288) @t367))))) % 54.75/54.96 (assume @p1089 (forall @t1519 (=> @t1559 (= @t1558 (tptp.hBOOL (tptp.hAPP @t1469 @t1514)))))) % 54.75/54.96 (assume @p1090 (forall @t1519 (=> @t1559 (= @t1558 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1520) @t859)))))) % 54.75/54.96 (assume @p1091 (forall @t1519 (=> @t1559 (= @t1560 (tptp.hBOOL (tptp.hAPP @t887 @t1514)))))) % 54.75/54.96 (assume @p1092 (forall @t1519 (=> @t1559 (= @t1560 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t1520) @t859)))))) % 54.75/54.96 (assume @p1093 (forall (@list @t510 @t76) (=> @t506 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP @t1480 @t511)) @t76))))) % 54.75/54.96 (assume @p1094 (forall @t77 (=> @t506 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1480 @t315)) @t76)))) % 54.75/54.96 (assume @p1095 (forall @t1567 (= @t1566 (and (=> @t1565 @t453) (forall @t1564 (=> @t1563 @t1562)))))) % 54.75/54.96 (assume @p1096 (forall @t1567 (= @t1566 (not (or (and @t1565 @t1237) (exists @t1564 (and @t1563 (not @t1562)))))))) % 54.75/54.96 (assume @p1097 (forall @t635 (= (tptp.hBOOL (tptp.hAPP @t1034 (tptp.hAPP @t1568 @t734))) @t634))) % 54.75/54.96 (assume @p1098 (forall @t1571 (=> @t1542 (= (tptp.hAPP (tptp.hAPP @t1445 @t1570) @t306) (tptp.hAPP (tptp.hAPP @t1445 @t1569) @t1494))))) % 54.75/54.96 (assume @p1099 (forall @t1571 (=> @t1542 (= (tptp.hAPP @t1446 @t1570) (tptp.hAPP @t1495 @t1569))))) % 54.75/54.96 (assume @p1100 (forall @t1577 (=> @t1548 (= @t1576 (= @t347 @t1573))))) % 54.75/54.96 (assume @p1101 (forall (@list @t76 @t306 @t159 @t512 @t510) (=> @t989 (= @t1579 (tptp.hAPP @t1446 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t1578) @t159)) @t76)))))) % 54.75/54.96 (assume @p1102 (forall @t1577 (=> @t1548 (= @t1580 (tptp.hBOOL (tptp.hAPP @t967 @t1573)))))) % 54.75/54.96 (assume @p1103 (forall @t1583 (=> @t1582 (= @t1576 (= @t1581 @t102))))) % 54.75/54.96 (assume @p1104 (forall (@list @t76 @t306 @t159 @t510 @t512) (=> @t1584 (= @t1579 (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t1460) @t159)) @t306)) @t76))))) % 54.75/54.96 (assume @p1105 (forall @t1583 (=> @t1582 (= @t1580 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t1581) @t102)))))) % 54.75/54.96 (assume @p1106 (forall @t1283 (and (=> @t1442 (= @t1282 @t624)) (=> @t1443 (= @t1282 (tptp.hAPP (tptp.hAPP @t1440 @t1284) @t274)))))) % 54.75/54.96 (assume @p1107 (forall @t1283 (and (=> @t1442 (= @t1280 @t624)) (=> @t1443 (= @t1280 (tptp.hAPP @t1585 @t1284)))))) % 54.75/54.96 (assume @p1108 (forall @t476 (= @t1589 (tptp.hAPP @t1587 @t1586)))) % 54.75/54.96 (assume @p1109 (forall @t372 (= @t1586 (tptp.hAPP @t1587 (tptp.hAPP (tptp.hAPP @t723 @t1588) @t76))))) % 54.75/54.96 (assume @p1110 (forall @t1557 (and @t1556 (=> (not @t1555) (= @t1340 @t624))))) % 54.75/54.96 (assume @p1111 (forall @t77 (=> @t506 (= @t76 @t1591)))) % 54.75/54.96 (assume @p1112 (forall @t77 (=> @t506 (= @t1591 @t76)))) % 54.75/54.96 (assume @p1113 (forall @t1577 (=> @t1548 (= @t1592 (tptp.hBOOL (tptp.hAPP @t467 @t1573)))))) % 54.75/54.96 (assume @p1114 (forall @t1583 (=> @t1582 (= @t1592 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1581) @t102)))))) % 54.75/54.96 (assume @p1115 (forall @t372 (and (=> @t966 (= @t363 @t76)) (=> @t1593 (= @t363 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t316 @t1552) @t76))))))) % 54.75/54.96 (assume @p1116 (forall @t476 (=> @t506 (and @t1374 @t1594)))) % 54.75/54.96 (assume @p1117 (forall @t476 (=> @t506 @t1594))) % 54.75/54.96 (assume @p1118 (forall @t372 (and (=> @t966 (= @t820 @t19)) (=> @t1593 (= @t820 (tptp.hAPP @t360 (tptp.hAPP (tptp.hAPP @t818 @t1552) @t76))))))) % 54.75/54.96 (assume @p1119 (forall @t1289 (=> @t1403 (=> @t716 (= (tptp.hAPP (tptp.hAPP @t1333 (tptp.hAPP @t1596 @t306)) @t359) (tptp.hAPP @t1596 (tptp.hAPP @t1446 @t315))))))) % 54.75/54.96 (assume @p1120 (forall @t1455 (=> @t1454 (=> (forall @t8 (=> @t1143 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t1597 @t859))))) (=> @t1453 (forall @t8 (=> @t1143 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t1597 @t1450)))))))))) % 54.75/54.96 (assume @p1121 (forall (@list @t365 @t288 @t427) (=> @t1600 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.hAPP @t1505 @t1599)) @t365))))) % 54.75/54.96 (assume @p1122 (forall (@list @t288 @t365 @t427) (=> @t1600 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t365) (tptp.hAPP @t685 @t1599)))))) % 54.75/54.96 (assume @p1123 (forall (@list @t367 @t76 @t288) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t288 @t76) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t367 @t76)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t367) @t288)) (exists @t1297 (= @t288 (tptp.hAPP @t368 (tptp.hAPP @t980 @t1296)))))))) % 54.75/54.96 (assume @p1124 (forall (@list @t434 @t87 @t1601) (=> (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t1603 @t1601)) (=> @t1233 (tptp.hBOOL (tptp.hAPP @t87 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1602 @t1601)))))) (=> (tptp.hBOOL (tptp.hAPP @t87 @t434)) (=> (tptp.hBOOL (tptp.hAPP @t1536 @t1601)) @t453))))) % 54.75/54.96 (assume @p1125 (forall @t1607 (=> (tptp.hBOOL (tptp.hAPP @t449 @t1605)) (= @t1605 (tptp.hAPP tptp.c_Nat_OSuc @t1606))))) % 54.75/54.96 (assume @p1126 (forall @t1557 (and (=> @t451 (= @t1608 @t288)) (=> @t452 (= @t1608 (tptp.c_Nitpick_Onat__gcd @t367 @t1395)))))) % 54.75/54.96 (assume @p1127 (forall (@list @t76 @t365 @t289) (=> @t773 (= (tptp.hAPP @t772 @t1610) (tptp.hAPP (tptp.hAPP @t1609 @t778) @t76))))) % 54.75/54.96 (assume @p1128 (forall @t1616 (=> @t1615 (= (tptp.hAPP @t772 @t1614) @t1612)))) % 54.75/54.96 (assume @p1129 (forall (@list @t16 @t629 @t14) (=> @t1619 (= (= @t1618 @t16) (= @t16 @t1618))))) % 54.75/54.96 (assume @p1130 (forall @t705 (=> @t1624 (= @t1622 @t678)))) % 54.75/54.96 (assume @p1131 (forall @t304 (=> @t1627 (= (tptp.hAPP @t1625 @t1626) @t1626)))) % 54.75/54.96 (assume @p1132 (forall @t1629 (tptp.hBOOL (tptp.hAPP @t949 (tptp.hAPP (tptp.hAPP @t1595 @t1628) @t76))))) % 54.75/54.96 (assume @p1133 (forall @t304 (=> @t1627 (tptp.hBOOL (tptp.hAPP @t1021 @t1626))))) % 54.75/54.96 (assume @p1134 (forall @t552 (=> @t1627 (=> @t1630 @t1023)))) % 54.75/54.96 (assume @p1135 (forall @t305 (=> @t1627 (= (tptp.hAPP @t1625 @t384) @t384)))) % 54.75/54.96 (assume @p1136 (forall @t392 (=> @t1633 (= (= @t1632 @t15) @t389)))) % 54.75/54.96 (assume @p1137 (forall @t552 (=> @t1627 (= (tptp.hAPP @t1625 @t1635) @t1635)))) % 54.75/54.96 (assume @p1138 (forall @t552 (=> @t604 @t1638))) % 54.75/54.96 (assume @p1139 (forall @t304 (=> @t604 (= (tptp.hAPP @t1636 @t1626) @t884)))) % 54.75/54.96 (assume @p1140 (forall @t552 (=> @t1627 (= @t1640 @t1639)))) % 54.75/54.96 (assume @p1141 (forall @t305 (=> @t604 (= (tptp.hAPP @t1625 @t736) @t736)))) % 54.75/54.96 (assume @p1142 (forall @t304 (=> @t1627 (= (tptp.hAPP @t1625 @t754) @t1626)))) % 54.75/54.96 (assume @p1143 (forall (@list @t1190 @t367 @t288 @t289) (=> @t415 (= (tptp.hAPP (tptp.hAPP @t1609 @t867) @t1190) (tptp.hAPP @t1644 (tptp.hAPP @t1641 @t1190)))))) % 54.75/54.96 (assume @p1144 (forall @t921 (=> @t604 (= (tptp.hAPP @t1625 @t648) @t648)))) % 54.75/54.96 (assume @p1145 (forall @t308 (= (tptp.hAPP @t1598 @t640) @t640))) % 54.75/54.96 (assume @p1146 (forall @t1648 (=> @t415 (= (tptp.hAPP (tptp.hAPP @t1609 @t1647) @t1190) (tptp.hAPP @t1642 (tptp.hAPP @t1646 @t1190)))))) % 54.75/54.96 (assume @p1147 (forall @t370 (= (tptp.hAPP (tptp.hAPP @t1595 @t1650) @t365) (tptp.hAPP @t1649 (tptp.hAPP (tptp.hAPP @t818 @t367) @t365))))) % 54.75/54.96 (assume @p1148 (forall @t291 (=> @t415 (= (tptp.hAPP @t1642 @t821) @t288)))) % 54.75/54.96 (assume @p1149 (forall @t1508 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t1595 @t1285) @t367) @t306) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1650 @t306)))) % 54.75/54.96 (assume @p1150 (forall @t1616 (=> @t1615 (and (=> @t1653 @t1654) (=> (not @t1653) @t1652))))) % 54.75/54.96 (assume @p1151 (forall @t825 (=> @t1615 (= @t1655 @t822)))) % 54.75/54.96 (assume @p1152 (forall @t291 (=> @t1659 (and (=> @t1658 (= @t1657 (tptp.hAPP @t748 @t1656))) (=> (not @t1658) (= @t1657 @t1656)))))) % 54.75/54.96 (assume @p1153 (forall @t1661 (= (tptp.hBOOL (tptp.hAPP @t642 (tptp.hAPP (tptp.hAPP @t1595 @t1660) @t102))) (or (not (= @t16 @t624)) @t376)))) % 54.75/54.96 (assume @p1154 (forall @t304 (=> @t1627 (=> @t1108 @t1662)))) % 54.75/54.96 (assume @p1155 (forall @t392 (=> @t1633 (= (tptp.hBOOL (tptp.hAPP @t1663 @t15)) @t389)))) % 54.75/54.96 (assume @p1156 (forall @t304 (=> @t1627 (tptp.hBOOL (tptp.hAPP @t957 @t1626))))) % 54.75/54.96 (assume @p1157 (forall @t304 (=> @t1627 (not (tptp.hBOOL (tptp.hAPP @t1664 @t384)))))) % 54.75/54.96 (assume @p1158 (forall @t392 (=> @t1633 (= (tptp.hBOOL (tptp.hAPP @t560 @t1632)) @t1665)))) % 54.75/54.96 (assume @p1159 (forall @t304 (=> @t1627 (=> @t557 @t1662)))) % 54.75/54.96 (assume @p1160 (forall @t552 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 (tptp.hAPP @t1625 @t323)) @t1635))))) % 54.75/54.96 (assume @p1161 (forall @t1666 (=> @t604 (=> (tptp.hBOOL (tptp.hAPP @t1664 @t26)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1634) @t427)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1637) (tptp.hAPP @t905 @t427)))))))) % 54.75/54.96 (assume @p1162 (forall @t552 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 (tptp.hAPP @t1625 @t1667)) @t1640))))) % 54.75/54.96 (assume @p1163 (forall @t552 (=> @t1627 (tptp.hBOOL (tptp.hAPP @t1668 @t1640))))) % 54.75/54.96 (assume @p1164 (forall @t552 (=> @t1627 (tptp.hBOOL (tptp.hAPP @t1668 @t1639))))) % 54.75/54.96 (assume @p1165 (forall @t552 (=> @t1627 (=> @t1630 @t1670)))) % 54.75/54.96 (assume @p1166 (forall @t552 (=> @t1627 (=> @t1023 (=> @t1670 @t1630))))) % 54.75/54.96 (assume @p1167 (forall @t771 (=> @t1633 (= (tptp.hBOOL (tptp.hAPP @t1663 @t52)) (and @t1059 @t1067))))) % 54.75/54.96 (assume @p1168 (forall @t304 (=> @t1627 (tptp.hBOOL (tptp.hAPP @t1669 @t1626))))) % 54.75/54.96 (assume @p1169 (forall @t771 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t1632) @t52)) (and @t481 @t835))))) % 54.75/54.96 (assume @p1170 (forall @t1674 (=> (and @t1619 @t704) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1672) @t1618)) (not (tptp.hBOOL (tptp.hAPP @t1673 @t1672))))))) % 54.75/54.96 (assume @p1171 (forall @t1680 (=> @t1679 (= (tptp.hAPP @t1676 (tptp.hAPP (tptp.hAPP @t329 @t274) @t26)) (tptp.hAPP (tptp.hAPP @t329 @t1678) @t1677))))) % 54.75/54.96 (assume @p1172 (forall @t1683 (=> @t1679 (= (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP (tptp.hAPP @t329 @t181) @t274)) @t1675) (tptp.hAPP (tptp.hAPP @t329 @t1682) @t1681))))) % 54.75/54.96 (assume @p1173 (forall @t1685 (=> @t415 (= (tptp.hAPP @t1644 @t288) @t1684)))) % 54.75/54.96 (assume @p1174 (forall @t1685 (=> @t415 (= @t1686 @t1684)))) % 54.75/54.96 (assume @p1175 (forall @t1685 (=> @t415 (= @t1684 @t1686)))) % 54.75/54.96 (assume @p1176 (forall @t1680 (=> @t1687 (= (tptp.hAPP @t1676 (tptp.hAPP (tptp.hAPP @t1462 @t274) @t26)) (tptp.hAPP (tptp.hAPP @t1462 @t1678) @t1677))))) % 54.75/54.96 (assume @p1177 (forall @t1683 (=> @t1687 (= (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP (tptp.hAPP @t1462 @t181) @t274)) @t1675) (tptp.hAPP (tptp.hAPP @t1462 @t1682) @t1681))))) % 54.75/54.96 (assume @p1178 (forall @t705 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1688 @t1620)) @t1047)))) % 54.75/54.96 (assume @p1179 (forall @t291 (=> @t415 (= (tptp.hAPP @t1642 @t19) @t736)))) % 54.75/54.96 (assume @p1180 (forall @t1648 (=> @t415 (= (tptp.hAPP (tptp.hAPP @t739 @t1647) @t1643) (tptp.hAPP @t1642 (tptp.hAPP (tptp.hAPP @t316 @t1645) @t1190)))))) % 54.75/54.96 (assume @p1181 (forall @t705 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1690 @t1620)) @t1187)))) % 54.75/54.96 (assume @p1182 (forall @t1696 (=> @t1615 (= (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP @t319 @t1694) @t365)) (tptp.hAPP (tptp.hAPP @t319 @t1693) @t365))))) % 54.75/54.96 (assume @p1183 (forall @t1698 (=> @t1615 (= @t1697 @t1693)))) % 54.75/54.96 (assume @p1184 (forall @t1698 (=> @t1615 (= @t1693 @t1697)))) % 54.75/54.96 (assume @p1185 (forall @t1629 (=> @t1102 (tptp.hBOOL (tptp.hAPP @t949 @t1699))))) % 54.75/54.96 (assume @p1186 (forall @t1698 (=> @t1615 (= @t1704 @t1701)))) % 54.75/54.96 (assume @p1187 (forall @t1698 (=> @t1615 (= @t1701 @t1704)))) % 54.75/54.96 (assume @p1188 (forall @t1696 (=> @t1615 (= (tptp.hAPP @t1700 (tptp.hAPP (tptp.hAPP @t739 @t1694) @t365)) (tptp.hAPP (tptp.hAPP @t739 @t1704) @t365))))) % 54.75/54.96 (assume @p1189 (forall @t372 (=> (= (tptp.hAPP @t1598 @t1705) @t734) (= (tptp.hAPP @t1598 @t306) @t734)))) % 54.75/54.96 (assume @p1190 (forall @t1698 (=> @t1615 (= (tptp.hAPP @t1611 (tptp.hAPP (tptp.hAPP @t1440 @t953) @t679)) @t1707)))) % 54.75/54.96 (assume @p1191 (forall @t370 (= (tptp.hAPP @t1649 @t369) (tptp.hAPP (tptp.hAPP @t723 @t1650) (tptp.hAPP @t1649 @t365))))) % 54.75/54.96 (assume @p1192 (forall @t1710 (=> @t1615 (= @t1709 @t1708)))) % 54.75/54.96 (assume @p1193 (forall @t1710 (=> @t1615 (= @t1708 @t1709)))) % 54.75/54.96 (assume @p1194 (forall @t825 (=> @t604 (= @t1711 (tptp.hAPP (tptp.hAPP @t739 @t359) (tptp.c_Groups_Osgn__class_Osgn @t289 @t359)))))) % 54.75/54.96 (assume @p1195 (forall @t291 (=> @t604 (= (tptp.hAPP (tptp.hAPP @t739 @t935) @t1712) @t288)))) % 54.75/54.96 (assume @p1196 (forall @t605 (=> @t604 (=> @t1172 (= (tptp.hAPP (tptp.hAPP @t739 (tptp.hAPP @t1625 @t367)) @t288) (tptp.hAPP @t1625 @t1169)))))) % 54.75/54.96 (assume @p1197 (forall @t552 (=> (tptp.class_Rings_Oordered__ring__abs @t289) (=> (and (or @t1108 @t1115) (or @t1107 @t1114)) @t1638)))) % 54.75/54.96 (assume @p1198 (forall @t433 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 (tptp.hAPP @t1625 (tptp.hAPP @t1474 @t428))) (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t1625 (tptp.hAPP @t1472 @t26))) (tptp.hAPP @t1625 (tptp.hAPP @t1476 @t427)))))))) % 54.75/54.96 (assume @p1199 (forall @t552 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1640) @t1635))))) % 54.75/54.96 (assume @p1200 (forall @t304 (=> @t1627 (=> @t1115 @t1713)))) % 54.75/54.96 (assume @p1201 (forall @t304 (=> @t1627 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 (tptp.hAPP @t748 @t1626)) @t384))))) % 54.75/54.96 (assume @p1202 (forall @t304 (=> (tptp.class_Groups_Oabs__if @t289) (and @t1714 (=> (not @t550) @t1662))))) % 54.75/54.96 (assume @p1203 (forall @t304 (=> @t1627 @t1714))) % 54.75/54.96 (assume @p1204 (forall @t733 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1715) @t734)) @t920))) % 54.75/54.96 (assume @p1205 (forall (@list @t26 @t679 @t953 @t289) (=> @t1615 (= (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP @t1466 @t1694) @t26)) (tptp.hAPP (tptp.hAPP @t1466 @t1693) @t26))))) % 54.75/54.96 (assume @p1206 (forall @t946 (and (=> @t1717 (= @t1716 (tptp.hAPP @t726 @t510))) (=> (not @t1717) (= @t1716 @t510))))) % 54.75/54.96 (assume @p1207 (forall @t783 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t739 @t1709) @t365) (tptp.hAPP (tptp.hAPP @t739 @t1708) @t365))))) % 54.75/54.96 (assume @p1208 (forall @t1184 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1598 @t782)) (tptp.hAPP (tptp.hAPP @t818 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1598 @t679))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1598 @t365)))))) % 54.75/54.96 (assume @p1209 (forall @t1698 (=> @t1615 (= @t1707 @t1719)))) % 54.75/54.96 (assume @p1210 (forall (@list @t679 @t26 @t953 @t289) (=> @t1615 (= (tptp.hAPP @t1695 (tptp.hAPP (tptp.hAPP @t1466 @t26) @t1694)) (tptp.hAPP (tptp.hAPP @t319 @t1719) @t26))))) % 54.75/54.96 (assume @p1211 (forall @t1726 (=> @t585 (=> @t491 (=> @t1108 (=> @t506 @t1725)))))) % 54.75/54.96 (assume @p1212 (forall @t1728 (=> @t585 (=> @t1727 (=> @t506 (tptp.hBOOL (tptp.hAPP @t747 @t1723))))))) % 54.75/54.96 (assume @p1213 (forall @t1730 (=> @t585 (=> @t1727 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1729) @t1723)) @t1079))))) % 54.75/54.96 (assume @p1214 (forall @t1737 (=> @t619 (=> @t1736 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1734) @t1733)) @t1033))))) % 54.75/54.96 (assume @p1215 (forall @t1741 (=> @t585 (=> @t1740 (=> @t1108 (=> (tptp.hBOOL (tptp.hAPP @t1021 @t736)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1739) @t1723)))))))) % 54.75/54.96 (assume @p1216 (forall @t1741 (=> @t585 (=> @t1743 (=> @t557 (=> @t1742 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1739) @t1723)))))))) % 54.75/54.96 (assume @p1217 (forall @t1728 (=> @t585 (=> @t557 (=> @t1742 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1744) @t736))))))) % 54.75/54.96 (assume @p1218 (forall @t677 (= (tptp.hAPP @t1613 @t359) @t359))) % 54.75/54.96 (assume @p1219 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1747) @t1746)) @t1745))) % 54.75/54.96 (assume @p1220 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1747) @t1746)) @t1526))) % 54.75/54.96 (assume @p1221 (forall @t1750 (= (tptp.hAPP @t1749 @t1748) (tptp.hAPP @t1613 @t1692)))) % 54.75/54.96 (assume @p1222 (forall @t1750 (= (tptp.hAPP (tptp.hAPP @t723 @t1614) @t1748) (tptp.hAPP @t1613 @t1703)))) % 54.75/54.96 (assume @p1223 (forall @t1001 (= @t1751 (tptp.hAPP @t1613 @t871)))) % 54.75/54.96 (assume @p1224 (forall (@list @t347 @t16) (= (= (tptp.hAPP @t1753 @t347) @t315) (or @t377 (= @t16 @t315))))) % 54.75/54.96 (assume @p1225 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t1752 @t315) @t76) @t315))) % 54.75/54.96 (assume @p1226 (forall @t1757 (=> (tptp.hBOOL (tptp.hAPP @t449 @t510)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1756) @t1755)) @t460)))) % 54.75/54.96 (assume @p1227 (forall @t1661 (= (tptp.hBOOL (tptp.hAPP @t449 (tptp.hAPP @t1753 @t102))) (or (tptp.hBOOL (tptp.hAPP @t449 @t16)) @t376)))) % 54.75/54.96 (assume @p1228 (forall @t1001 (= @t1748 (tptp.hAPP @t879 @t679)))) % 54.75/54.96 (assume @p1229 (forall @t933 (=> (tptp.hBOOL (tptp.hAPP @t1036 @t510)) (tptp.hBOOL (tptp.hAPP @t1036 @t1755))))) % 54.75/54.96 (assume @p1230 (forall @t1607 (= @t1605 (tptp.hAPP tptp.c_Int_Onat @t1614)))) % 54.75/54.96 (assume @p1231 (forall @t1001 (= (tptp.hAPP tptp.c_Int_Onat @t1748) @t1758))) % 54.75/54.96 (assume @p1232 (forall @t1629 (= (tptp.hAPP (tptp.hAPP @t1595 @t658) @t76) (tptp.hAPP @t625 (tptp.hAPP (tptp.hAPP @t1752 @t288) @t76))))) % 54.75/54.96 (assume @p1233 (forall @t372 (= @t1761 @t1760))) % 54.75/54.96 (assume @p1234 (forall @t372 (= @t1760 @t1761))) % 54.75/54.96 (assume @p1235 (forall @t1750 (= (tptp.hAPP (tptp.hAPP @t1440 @t1614) @t1748) (tptp.hAPP @t1613 @t1718)))) % 54.75/54.96 (assume @p1236 (forall (@list @t1645 @t306) (and (=> @t966 (= @t1763 @t821)) (=> @t1593 (= @t1763 (tptp.hAPP @t1646 (tptp.hAPP @t1762 @t1552))))))) % 54.75/54.96 (assume @p1237 (forall (@list @t1671 @t347) (= (= @t636 @t1764) (and (= @t347 (tptp.hAPP tptp.c_Int_Onat @t1764)) (tptp.hBOOL (tptp.hAPP @t949 @t1764)))))) % 54.75/54.96 (assume @p1238 (forall @t1765 (=> @t950 (= (tptp.hAPP tptp.c_Int_Onat @t1610) (tptp.hAPP (tptp.hAPP @t1752 @t947) @t76))))) % 54.75/54.96 (assume @p1239 (forall @t1629 (=> @t1102 (= (tptp.hAPP (tptp.hAPP @t1752 @t1100) @t76) (tptp.hAPP tptp.c_Int_Onat @t1699))))) % 54.75/54.96 (assume @p1240 (forall @t1728 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t289) (=> @t848 (not (= @t1723 @t384)))))) % 54.75/54.96 (assume @p1241 (forall @t1726 (=> @t814 (= (tptp.hAPP (tptp.hAPP @t1609 @t751) @t76) (tptp.hAPP @t1766 @t1721))))) % 54.75/54.96 (assume @p1242 (forall @t1728 (=> @t813 (= @t1768 @t1767)))) % 54.75/54.96 (assume @p1243 (forall @t921 (=> @t813 (= (tptp.hAPP @t1769 @t76) @t736)))) % 54.75/54.96 (assume @p1244 (forall @t650 (=> @t647 (= (tptp.hAPP @t643 @t1759) (tptp.hAPP (tptp.hAPP @t1609 @t644) @t76))))) % 54.75/54.96 (assume @p1245 (forall @t1730 (=> @t813 (= (tptp.hAPP @t1722 @t820) (tptp.hAPP (tptp.hAPP @t1609 @t1729) @t76))))) % 54.75/54.96 (assume @p1246 (forall @t1774 (= (tptp.hAPP (tptp.hAPP @t1343 @t315) @t1773) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1772 @t1771))))) % 54.75/54.96 (assume @p1247 (forall @t1728 (=> @t604 (= @t1777 @t1776)))) % 54.75/54.96 (assume @p1248 (forall @t304 (=> @t813 (= (tptp.hAPP @t1722 @t821) @t181)))) % 54.75/54.96 (assume @p1249 (forall @t1728 (=> @t585 (=> @t1108 (tptp.hBOOL (tptp.hAPP @t957 @t1723)))))) % 54.75/54.96 (assume @p1250 (forall @t1726 (=> @t585 (=> @t1023 (=> @t1108 (tptp.hBOOL (tptp.hAPP @t1778 @t1721))))))) % 54.75/54.96 (assume @p1251 (forall @t1728 (=> @t585 (=> @t557 (tptp.hBOOL (tptp.hAPP @t553 @t1723)))))) % 54.75/54.96 (assume @p1252 (forall @t1782 (=> (and @t1781 (tptp.class_Rings_Omult__zero @t14) (tptp.class_Rings_Ono__zero__divisors @t14) (tptp.class_Rings_Ozero__neq__one @t14)) (= (= @t1780 @t15) (and @t389 @t503))))) % 54.75/54.96 (assume @p1253 (forall @t1728 (=> @t585 (=> @t1783 (tptp.hBOOL (tptp.hAPP @t1132 @t1723)))))) % 54.75/54.96 (assume @p1254 (forall @t921 (=> @t1786 (= (tptp.hAPP @t1784 @t254) @t384)))) % 54.75/54.96 (assume @p1255 (forall (@list @t102 @t347 @t54 @t14) (=> @t619 (=> (tptp.hBOOL (tptp.hAPP @t1735 @t54)) (= (= (tptp.hAPP @t1779 @t347) @t1780) @t348))))) % 54.75/54.96 (assume @p1256 (forall @t1728 (=> @t813 (= @t1744 @t1768)))) % 54.75/54.96 (assume @p1257 (forall @t1728 (=> @t1785 (= @t1744 @t1767)))) % 54.75/54.96 (assume @p1258 (forall @t304 (=> @t1785 (= (tptp.hAPP @t1722 @t19) @t736)))) % 54.75/54.96 (assume @p1259 (forall @t1730 (=> @t813 (= (tptp.hAPP @t1722 @t363) (tptp.hAPP (tptp.hAPP @t739 @t1729) @t1723))))) % 54.75/54.96 (assume @p1260 (forall @t1728 (=> @t604 (= (tptp.hAPP @t1625 @t1788) @t1777)))) % 54.75/54.96 (assume @p1261 (forall @t1789 (=> @t585 (=> @t1725 (=> @t1107 @t491))))) % 54.75/54.96 (assume @p1262 (forall @t1789 (=> @t585 (=> (= @t1744 @t1790) (=> @t1108 (=> @t1107 @t712)))))) % 54.75/54.96 (assume @p1263 (forall @t1789 (=> @t585 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1744) @t1790)) (=> @t1107 @t1023))))) % 54.75/54.96 (assume @p1264 (forall @t1728 (=> @t585 (=> @t1727 (tptp.hBOOL (tptp.hAPP @t1724 @t1767)))))) % 54.75/54.96 (assume @p1265 (forall @t1728 (=> @t585 (=> @t1727 (tptp.hBOOL (tptp.hAPP @t747 @t1767)))))) % 54.75/54.96 (assume @p1266 (forall @t921 (=> @t1786 (and (=> @t380 (= @t1791 @t736)) (=> @t505 (= @t1791 @t384)))))) % 54.75/54.96 (assume @p1267 (forall @t1728 (=> @t585 (=> @t1727 (tptp.hBOOL (tptp.hAPP @t747 @t1744)))))) % 54.75/54.96 (assume @p1268 (forall @t1737 (=> @t619 (=> @t1736 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t1734) @t1733)) @t660))))) % 54.75/54.96 (assume @p1269 (forall @t1730 (=> @t585 (=> @t1727 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1729) @t1723)) @t460))))) % 54.75/54.96 (assume @p1270 (forall @t1741 (=> @t585 (=> @t1743 (=> @t1727 (tptp.hBOOL (tptp.hAPP @t1724 @t1739))))))) % 54.75/54.96 (assume @p1271 (forall @t1728 (=> @t604 (tptp.hBOOL (tptp.hAPP @t957 @t1776))))) % 54.75/54.96 (assume @p1272 (forall @t1741 (=> @t585 (=> @t1740 (=> @t1783 (tptp.hBOOL (tptp.hAPP @t1778 @t1739))))))) % 54.75/54.96 (assume @p1273 (forall @t1728 (=> @t773 (= @t1788 (tptp.hAPP (tptp.hAPP @t739 (tptp.hAPP @t1792 @t76)) @t1723))))) % 54.75/54.96 (assume @p1274 (forall @t1728 (=> @t585 (=> @t557 (=> @t1742 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1767) @t1723))))))) % 54.75/54.96 (assume @p1275 (forall @t1789 (=> @t585 (=> (= @t1723 @t1721) (=> @t1108 (=> @t1107 (=> @t506 @t712))))))) % 54.75/54.96 (assume @p1276 (forall @t400 (= (tptp.c_Nitpick_Onat__lcm @t288 @t367) (tptp.hAPP (tptp.hAPP @t1343 @t1158) @t1608)))) % 54.75/54.96 (assume @p1277 (forall @t400 (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd @t288) @t367) (tptp.hAPP @t625 (tptp.c_Nitpick_Onat__gcd @t1795 @t1794))))) % 54.75/54.96 (assume @p1278 (forall @t1774 (and (=> @t1797 (= @t1796 @t315)) (=> @t1798 (= @t1796 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t734 @t1771))))))) % 54.75/54.96 (assume @p1279 (forall @t1799 (=> @t1781 (= @t1731 (tptp.c_Power_Opower_Opower @t14 @t757 @t761))))) % 54.75/54.96 (assume @p1280 (forall @t1804 (and (=> @t1802 (= @t1801 @t19)) (=> @t1803 (= @t1801 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1800 @t1771))))))) % 54.75/54.96 (assume @p1281 (forall @t1804 (and (=> @t1802 (= @t1805 @t19)) (=> @t1803 (and (=> @t1797 (= @t1805 @t1605)) (=> @t1798 (= @t1805 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1614 @t1771))))))))) % 54.75/54.96 (assume @p1282 (forall @t400 (= (tptp.c_Nitpick_Oint__lcm @t288 @t367) (tptp.hAPP @t625 (tptp.c_Nitpick_Onat__lcm @t1795 @t1794))))) % 54.75/54.96 (assume @p1283 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t624)))) % 54.75/54.96 (assume @p1284 (forall @t77 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t639))))) % 54.75/54.96 (assume @p1285 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t734)))) % 54.75/54.96 (assume @p1286 (forall @t1806 (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t16))) @t1051))) % 54.75/54.96 (assume @p1287 (forall (@list @t1807) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1807)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1807) @t624))))) % 54.75/54.96 (assume @p1288 (forall @t693 (=> @t1808 @t1179))) % 54.75/54.96 (assume @p1289 (forall @t693 (=> (not @t1808) @t1182))) % 54.75/54.96 (assume @p1290 (forall (@list @t54 @t1810 @t1809 @t14) (= (tptp.hAPP @t1811 @t19) @t1809))) % 54.75/54.96 (assume @p1291 (forall (@list @t102 @t54 @t1810 @t1809 @t14) (= (tptp.hAPP @t1811 @t436) (tptp.hAPP (tptp.hAPP @t1810 @t54) (tptp.hAPP @t1811 @t102))))) % 54.75/54.96 (assume @p1292 (forall @t1607 (=> @t1802 @t1812))) % 54.75/54.96 (assume @p1293 (forall @t77 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t727)))) % 54.75/54.96 (assume @p1294 (forall @t1819 (= (= @t1818 @t1817) (and (=> @t1816 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1814) @t624))) (=> (not @t1816) (and (=> @t1815 (= @t1764 @t624)) (=> (not @t1815) (= @t1671 @t1813)))))))) % 54.75/54.96 (assume @p1295 (forall @t1824 (and (=> @t1802 (= @t1823 @t1821)) (=> @t1803 (and (=> @t1797 (= @t1823 (tptp.hAPP @t1822 @t359))) (=> @t1798 (= @t1823 (tptp.hAPP (tptp.hAPP @t316 @t1820) @t359)))))))) % 54.75/54.96 (assume @p1296 (forall @t1607 (and (=> @t1802 (= @t1825 @t624)) (=> @t1803 (= @t1825 @t1614))))) % 54.75/54.96 (assume @p1297 (forall @t1616 (=> @t1615 (and (=> @t1802 @t1652) (=> @t1803 @t1654))))) % 54.75/54.96 (assume @p1298 (forall @t1750 (and (=> @t1802 (= @t1828 (tptp.hAPP @t1829 @t1758))) (=> @t1803 (= @t1828 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1826 @t1758))))))) % 54.75/54.96 (assume @p1299 (forall @t1831 (and (=> @t1802 (= @t1830 (tptp.hAPP @t1829 @t76))) (=> @t1803 (= @t1830 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1826 @t76))))))) % 54.75/54.96 (assume @p1300 (forall @t1831 (and (=> @t1802 (= @t1833 @t1138)) (=> @t1803 (= @t1833 (tptp.hAPP (tptp.hAPP @t316 @t1832) @t76)))))) % 54.75/54.96 (assume @p1301 (forall @t1607 (and (=> @t1802 (= @t1834 @t821)) (=> @t1803 (= @t1834 @t1832))))) % 54.75/54.96 (assume @p1302 (forall @t1272 (=> @t1295 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1836 @t274) @t1835)))) % 54.75/54.96 (assume @p1303 (forall @t1283 (=> @t1195 (=> @t1319 (= @t1338 @t1836))))) % 54.75/54.96 (assume @p1304 (forall (@list @t349 @t2 @t102) (=> (forall @t1235 (=> @t1843 @t1842)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1841) @t349)) (=> @t1840 (exists @t1235 (and @t1839 @t1838))))))) % 54.75/54.96 (assume @p1305 (forall @t705 (=> @t1623 (= @t1622 (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 (tptp.hAPP @t1845 @t1844))))))) % 54.75/54.96 (assume @p1306 (forall @t677 (= (tptp.hAPP @t1847 tptp.c_Int_OMin) @t1846))) % 54.75/54.96 (assume @p1307 (forall @t305 (=> @t1615 (not (tptp.c_Int_Oiszero @t289 @t1848))))) % 54.75/54.96 (assume @p1308 (tptp.hBOOL (tptp.hAPP @t1849 tptp.c_Int_OMin))) % 54.75/54.96 (assume @p1309 (not (tptp.hBOOL (tptp.hAPP @t1850 tptp.c_Int_OMin)))) % 54.75/54.96 (assume @p1310 (forall @t720 (=> @t437 (= (tptp.c_Int_Oiszero @t14 @t57) @t1851)))) % 54.75/54.96 (assume @p1311 (forall @t305 (=> @t647 (tptp.c_Int_Oiszero @t289 @t384)))) % 54.75/54.96 (assume @p1312 (forall @t305 (=> @t647 (not (tptp.c_Int_Oiszero @t289 @t736))))) % 54.75/54.96 (assume @p1313 (tptp.hBOOL (tptp.hAPP @t1850 @t624))) % 54.75/54.96 (assume @p1314 (= tptp.c_Int_OMin @t941)) % 54.75/54.96 (assume @p1315 (forall @t677 (= (tptp.hAPP (tptp.hAPP @t723 tptp.c_Int_OMin) @t359) @t824))) % 54.75/54.96 (assume @p1316 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1836))) % 54.75/54.96 (assume @p1317 (forall @t779 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t739 @t1848) @t365) @t1852)))) % 54.75/54.96 (assume @p1318 (forall @t779 (=> @t1615 (= (tptp.hAPP @t1853 @t1848) @t1852)))) % 54.75/54.96 (assume @p1319 (forall @t305 (=> @t1615 (= @t1848 @t774)))) % 54.75/54.96 (assume @p1320 (forall @t305 (=> @t1615 (= @t774 @t1848)))) % 54.75/54.96 (assume @p1321 (forall @t305 (=> @t1659 (= (tptp.hAPP @t1625 @t1848) @t736)))) % 54.75/54.96 (assume @p1322 (forall @t182 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t181 @t1836) @t624))) % 54.75/54.96 (assume @p1323 (forall @t372 (=> (= @t1705 @t734) (or (= @t306 @t734) (= @t306 @t1836))))) % 54.75/54.96 (assume @p1324 (forall @t379 (= @t830 (or @t828 (and (= @t347 @t1836) (= @t102 @t1836)))))) % 54.75/54.96 (assume @p1325 (forall @t305 (=> @t1615 (= (tptp.hAPP @t772 @t1836) @t1848)))) % 54.75/54.96 (assume @p1326 (forall @t182 (= (tptp.hAPP @t1337 @t1836) @t1279))) % 54.75/54.96 (assume @p1327 (forall @t677 (= @t1846 (tptp.hAPP @t1091 @t734)))) % 54.75/54.96 (assume @p1328 (forall @t921 (=> @t1659 (= (tptp.hAPP @t1625 (tptp.hAPP @t1854 @t76)) @t736)))) % 54.75/54.96 (assume @p1329 (forall @t1272 (=> @t1295 (= (tptp.hAPP (tptp.hAPP @t1333 @t1836) @t274) @t1836)))) % 54.75/54.96 (assume @p1330 (forall @t825 (=> @t1615 (= (tptp.hAPP @t1611 @t1846) (tptp.hAPP @t737 @t1655))))) % 54.75/54.96 (assume @p1331 (forall @t1607 (and (=> @t1856 (= @t1855 @t821)) (=> @t1857 (= @t1855 @t1832))))) % 54.75/54.96 (assume @p1332 (forall @t1607 (and (=> @t1856 (= @t1858 @t821)) (=> @t1857 (= @t1858 @t1832))))) % 54.75/54.96 (assume @p1333 (forall @t1860 (=> @t1623 (= (= @t15 @t1620) (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 (tptp.hAPP @t1859 @t1844))))))) % 54.75/54.96 (assume @p1334 (forall @t18 (=> @t1623 (= (= @t1621 @t15) (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 (tptp.hAPP @t1845 @t1861))))))) % 54.75/54.96 (assume @p1335 (forall @t1864 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1863)) @t1862))) % 54.75/54.96 (assume @p1336 (forall @t1824 (and (=> @t1856 (= @t1867 @t19)) (=> @t1857 (= @t1867 (tptp.hAPP (tptp.hAPP @t818 @t1865) @t359)))))) % 54.75/54.96 (assume @p1337 (forall @t1804 (and (=> @t1856 (= @t1868 @t19)) (=> @t1857 (= @t1868 @t1865))))) % 54.75/54.96 (assume @p1338 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin)) % 54.75/54.96 (assume @p1339 (= tptp.c_Int_OPls @t624)) % 54.75/54.96 (assume @p1340 (tptp.hBOOL (tptp.hAPP @t1869 tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1341 (not (tptp.hBOOL (tptp.hAPP @t1870 tptp.c_Int_OPls)))) % 54.75/54.96 (assume @p1342 (forall @t677 (= (tptp.hAPP @t1091 tptp.c_Int_OPls) @t359))) % 54.75/54.96 (assume @p1343 (forall @t677 (= (tptp.hAPP @t1859 @t359) @t359))) % 54.75/54.96 (assume @p1344 (forall @t1001 (= (tptp.hAPP (tptp.hAPP @t723 tptp.c_Int_OPls) @t679) tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1345 (forall @t677 (= (tptp.hAPP @t1847 tptp.c_Int_OPls) @t359))) % 54.75/54.96 (assume @p1346 (= @t1861 tptp.c_Int_OPls)) % 54.75/54.96 (assume @p1347 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1348 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 54.75/54.96 (assume @p1349 (forall @t934 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t288)) @t288))) % 54.75/54.96 (assume @p1350 (forall @t305 (=> @t1615 (= @t384 @t1871)))) % 54.75/54.96 (assume @p1351 (forall @t305 (=> @t1615 (= @t1871 @t384)))) % 54.75/54.96 (assume @p1352 (forall @t304 (=> @t1615 (= (tptp.hAPP @t322 @t1871) @t181)))) % 54.75/54.96 (assume @p1353 (forall @t304 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t319 @t1871) @t181) @t181)))) % 54.75/54.96 (assume @p1354 (not (tptp.hBOOL (tptp.hAPP @t1870 @t624)))) % 54.75/54.96 (assume @p1355 (= @t19 @t1872)) % 54.75/54.96 (assume @p1356 (= @t1872 @t19)) % 54.75/54.96 (assume @p1357 (= @t624 @t1873)) % 54.75/54.96 (assume @p1358 (forall (@list @t306 @t953) (=> (tptp.hBOOL (tptp.hAPP @t1870 @t953)) (= (tptp.hAPP @t1483 @t1605) (tptp.hAPP @t1446 @t1874))))) % 54.75/54.96 (assume @p1359 (tptp.hBOOL (tptp.hAPP @t1849 tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1360 (not (tptp.hBOOL (tptp.hAPP @t1869 tptp.c_Int_OMin)))) % 54.75/54.96 (assume @p1361 (tptp.hBOOL (tptp.hAPP @t1850 tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1362 (not (tptp.hBOOL (tptp.hAPP @t1870 tptp.c_Int_OMin)))) % 54.75/54.96 (assume @p1363 (not (= @t1873 @t1836))) % 54.75/54.96 (assume @p1364 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg @t1873)))) % 54.75/54.96 (assume @p1365 (forall @t305 (=> @t1615 (tptp.c_Int_Oiszero @t289 @t1871)))) % 54.75/54.96 (assume @p1366 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls)) % 54.75/54.96 (assume @p1367 (forall @t1527 (= @t1745 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 (tptp.c_Int_Opred @t349)) @t1525))))) % 54.75/54.96 (assume @p1368 (forall @t677 (= @t1875 (tptp.hAPP @t1847 @t734)))) % 54.75/54.96 (assume @p1369 (forall @t677 (= (tptp.hAPP (tptp.hAPP @t630 tptp.c_Int_OMin) @t359) @t1875))) % 54.75/54.96 (assume @p1370 (forall @t677 (= (tptp.hAPP @t1091 tptp.c_Int_OMin) @t1875))) % 54.75/54.96 (assume @p1371 (forall @t1607 (and (=> @t1876 (= @t1606 @t19)) (=> (not @t1876) (= @t1606 @t1874))))) % 54.75/54.96 (assume @p1372 (forall @t1864 (= (= @t19 @t1818) @t1878))) % 54.75/54.96 (assume @p1373 (forall @t1864 (= @t1862 @t1878))) % 54.75/54.96 (assume @p1374 (tptp.hBOOL (tptp.hAPP @t949 @t1873))) % 54.75/54.96 (assume @p1375 (forall @t1819 (= (tptp.hBOOL (tptp.hAPP @t1880 @t1817)) (and (=> @t1879 (tptp.hBOOL (tptp.hAPP @t1870 @t1813))) @t1879)))) % 54.75/54.96 (assume @p1376 (forall @t1819 (= (tptp.hBOOL (tptp.hAPP @t1881 @t1817)) (=> (not (tptp.hBOOL (tptp.hAPP @t1877 @t1813))) @t1878)))) % 54.75/54.96 (assume @p1377 (forall @t1860 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1103 @t1620)) (tptp.hBOOL (tptp.hAPP @t1869 @t659)))))) % 54.75/54.96 (assume @p1378 (forall @t18 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1688 @t15)) (tptp.hBOOL (tptp.hAPP @t1046 tptp.c_Int_OPls)))))) % 54.75/54.96 (assume @p1379 (forall @t18 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1690 @t15)) (tptp.hBOOL (tptp.hAPP @t1186 tptp.c_Int_OPls)))))) % 54.75/54.96 (assume @p1380 (forall @t1860 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t560 @t1620)) (tptp.hBOOL (tptp.hAPP @t1870 @t659)))))) % 54.75/54.96 (assume @p1381 (forall @t1864 (= (tptp.hBOOL (tptp.hAPP @t449 @t1818)) (tptp.hBOOL (tptp.hAPP @t1870 @t1671))))) % 54.75/54.96 (assume @p1382 (forall @t1804 (and (=> @t1856 (= @t1882 @t1773)) (=> @t1857 (and (=> @t1883 (= @t1882 @t1605)) (=> (not @t1883) (= @t1882 @t1820))))))) % 54.75/54.96 (assume @p1383 (forall @t1710 (=> @t1615 (= (tptp.hAPP @t1611 (tptp.c_Int_Opred @t679)) (tptp.hAPP (tptp.hAPP @t319 @t774) @t1694))))) % 54.75/54.96 (assume @p1384 (forall @t1860 (=> @t1623 (= (= @t757 @t1620) (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 (tptp.hAPP @t1885 @t1844))))))) % 54.75/54.96 (assume @p1385 (forall @t18 (=> @t1623 (= (= @t1621 @t757) (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 (tptp.hAPP @t1845 @t1886))))))) % 54.75/54.96 (assume @p1386 (forall @t1710 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t1466 @t736) @t1694) (tptp.hAPP @t1611 (tptp.hAPP @t1885 @t871)))))) % 54.75/54.96 (assume @p1387 (forall @t1616 (=> @t1615 (= (tptp.hAPP @t1706 @t736) (tptp.hAPP @t1611 (tptp.hAPP @t1691 @t1886)))))) % 54.75/54.96 (assume @p1388 (forall @t372 (= (tptp.hAPP @t1357 @t1892) (tptp.hAPP @t1357 @t1890)))) % 54.75/54.96 (assume @p1389 (forall @t372 (= (tptp.hAPP @t1897 @t76) (tptp.hAPP @t1894 @t76)))) % 54.75/54.96 (assume @p1390 (forall @t1527 (= (= @t1900 @t1899) @t1898))) % 54.75/54.96 (assume @p1391 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1906 @t1904)) @t1903))) % 54.75/54.96 (assume @p1392 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1908 @t1899)) @t1745))) % 54.75/54.96 (assume @p1393 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1910 @t1904)) @t1909))) % 54.75/54.96 (assume @p1394 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1911 @t1899)) @t1526))) % 54.75/54.96 (assume @p1395 (forall @t677 (not (= @t1912 tptp.c_Int_OPls)))) % 54.75/54.96 (assume @p1396 (forall @t1914 (not (= tptp.c_Int_OPls @t1913)))) % 54.75/54.96 (assume @p1397 (forall @t1915 (= (= @t1900 tptp.c_Int_OMin) (= @t349 tptp.c_Int_OMin)))) % 54.75/54.96 (assume @p1398 (forall @t1916 (= (= tptp.c_Int_OMin @t1899) (= tptp.c_Int_OMin @t1525)))) % 54.75/54.96 (assume @p1399 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 54.75/54.96 (assume @p1400 (forall @t1919 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1918) @t624)) @t1917))) % 54.75/54.96 (assume @p1401 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1869 @t1900)) @t1920))) % 54.75/54.96 (assume @p1402 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1911 tptp.c_Int_OPls)) @t1921))) % 54.75/54.96 (assume @p1403 (forall @t677 (= @t1912 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t735 @t359)) @t359)))) % 54.75/54.96 (assume @p1404 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1908 tptp.c_Int_OMin)) @t1922))) % 54.75/54.96 (assume @p1405 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1849 @t1900)) (tptp.hBOOL (tptp.hAPP @t1849 @t349))))) % 54.75/54.96 (assume @p1406 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1911 tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP @t1241 tptp.c_Int_OMin))))) % 54.75/54.96 (assume @p1407 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1850 @t1900)) @t1923))) % 54.75/54.96 (assume @p1408 (forall @t1919 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1613 @t1918))) @t1925))) % 54.75/54.96 (assume @p1409 (forall @t677 (= (tptp.hAPP @t726 @t1912) (tptp.c_Int_OBit1 (tptp.c_Int_Opred @t824))))) % 54.75/54.96 (assume @p1410 (forall @t1710 (=> (and @t1615 (tptp.class_Int_Oring__char__0 @t289)) (not (tptp.c_Int_Oiszero @t289 @t1926))))) % 54.75/54.96 (assume @p1411 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1884)) % 54.75/54.96 (assume @p1412 (forall @t1710 (=> @t1615 (= @t1926 (tptp.hAPP (tptp.hAPP @t319 @t1927) @t1694))))) % 54.75/54.96 (assume @p1413 (forall @t304 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t739 @t1928) @t181) @t181)))) % 54.75/54.96 (assume @p1414 (forall @t304 (=> @t1615 (= (tptp.hAPP @t744 @t1928) @t181)))) % 54.75/54.96 (assume @p1415 (forall @t305 (=> @t1615 (= @t736 @t1928)))) % 54.75/54.96 (assume @p1416 (forall @t305 (=> @t1615 (= @t1928 @t736)))) % 54.75/54.96 (assume @p1417 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1870 @t1900)) @t1920))) % 54.75/54.96 (assume @p1418 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1908 tptp.c_Int_OPls)) @t1921))) % 54.75/54.96 (assume @p1419 (= @t734 (tptp.hAPP @t1613 @t1884))) % 54.75/54.96 (assume @p1420 (= @t1929 @t821)) % 54.75/54.96 (assume @p1421 (= @t821 @t1929)) % 54.75/54.96 (assume @p1422 (forall @t1914 (= (tptp.hAPP @t1933 @t1913) @t1932))) % 54.75/54.96 (assume @p1423 (= (tptp.hAPP @t726 tptp.c_Int_OMin) @t1884)) % 54.75/54.96 (assume @p1424 (forall @t305 (=> @t1615 (not (tptp.c_Int_Oiszero @t289 @t1928))))) % 54.75/54.96 (assume @p1425 (= @t1888 (tptp.hAPP tptp.c_Nat_OSuc @t1934))) % 54.75/54.96 (assume @p1426 (= @t1929 @t315)) % 54.75/54.96 (assume @p1427 (forall @t304 (=> @t813 (= (tptp.hAPP @t1722 @t1888) (tptp.hAPP (tptp.hAPP @t739 @t884) @t181))))) % 54.75/54.96 (assume @p1428 (tptp.hBOOL (tptp.hAPP @t949 @t1935))) % 54.75/54.96 (assume @p1429 (forall @t77 (= @t1892 @t1890))) % 54.75/54.96 (assume @p1430 (= @t1935 (tptp.hAPP @t625 @t1888))) % 54.75/54.96 (assume @p1431 (= @t1888 (tptp.hAPP tptp.c_Int_Onat @t1935))) % 54.75/54.96 (assume @p1432 (forall @t1860 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t757) @t1620)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1884) @t659)))))) % 54.75/54.96 (assume @p1433 (forall @t18 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1688 @t757)) (tptp.hBOOL (tptp.hAPP @t1046 @t1884)))))) % 54.75/54.96 (assume @p1434 (forall @t1860 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1735 @t1620)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1884) @t659)))))) % 54.75/54.96 (assume @p1435 (forall @t18 (=> @t1689 (= (tptp.hBOOL (tptp.hAPP @t1690 @t757)) (tptp.hBOOL (tptp.hAPP @t1186 @t1884)))))) % 54.75/54.96 (assume @p1436 (forall @t1616 (=> @t1615 (= (tptp.hAPP @t1695 @t736) (tptp.hAPP @t1611 (tptp.hAPP @t1691 @t1884)))))) % 54.75/54.96 (assume @p1437 (forall @t1710 (=> @t1615 (= @t1927 (tptp.hAPP @t1611 (tptp.hAPP @t1885 @t679)))))) % 54.75/54.96 (assume @p1438 (forall @t476 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1872) @t76)) (= @t1484 (tptp.hAPP @t1446 (tptp.hAPP @t1480 @t1929)))))) % 54.75/54.96 (assume @p1439 (forall @t1936 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1896 @t1605) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1893 @t1605)))) % 54.75/54.96 (assume @p1440 (forall @t372 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1896 @t76) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1893 @t76)))) % 54.75/54.96 (assume @p1441 (forall @t372 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t306 @t1892) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t306 @t1890)))) % 54.75/54.96 (assume @p1442 (forall @t1936 (= (tptp.hAPP @t1897 @t1605) (tptp.hAPP @t1894 @t1605)))) % 54.75/54.96 (assume @p1443 (forall @t1283 (=> @t1307 (= @t1944 (tptp.hAPP (tptp.hAPP @t1440 (tptp.hAPP @t1940 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1937 @t181))) @t734))))) % 54.75/54.96 (assume @p1444 (forall @t1953 (and (=> @t1950 (= @t1949 (tptp.hAPP (tptp.hAPP @t630 @t1952) @t734))) (=> @t1951 (= @t1949 (tptp.hAPP (tptp.hAPP @t1440 (tptp.hAPP @t1940 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1945 @t1748))) @t734)))))) % 54.75/54.96 (assume @p1445 (forall @t1283 (=> @t1307 (= @t1954 (tptp.hAPP (tptp.hAPP @t1333 @t1937) @t181))))) % 54.75/54.96 (assume @p1446 (forall @t1283 (=> @t1311 (= @t1954 (tptp.hAPP @t1393 @t181))))) % 54.75/54.96 (assume @p1447 (forall @t1283 (=> @t1311 (= @t1944 (tptp.hAPP @t735 (tptp.hAPP @t1940 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t274 @t181))))))) % 54.75/54.96 (assume @p1448 (forall @t291 (=> @t647 (=> @t1102 (= (tptp.hAPP @t643 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t1940 @t288))) (tptp.hAPP (tptp.hAPP @t319 @t1955) @t1955)))))) % 54.75/54.96 (assume @p1449 (forall @t1527 (= (= @t1957 @t1956) @t1898))) % 54.75/54.96 (assume @p1450 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1958 @t1956)) @t1745))) % 54.75/54.96 (assume @p1451 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1961 @t1959)) @t1903))) % 54.75/54.96 (assume @p1452 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1962 @t1956)) @t1526))) % 54.75/54.96 (assume @p1453 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1963 @t1959)) @t1909))) % 54.75/54.96 (assume @p1454 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 54.75/54.96 (assume @p1455 (forall @t1916 (= (= tptp.c_Int_OPls @t1956) (= tptp.c_Int_OPls @t1525)))) % 54.75/54.96 (assume @p1456 (forall @t1915 (= (= @t1957 tptp.c_Int_OPls) (= @t349 tptp.c_Int_OPls)))) % 54.75/54.96 (assume @p1457 (forall @t1303 (not (= @t1964 @t1913)))) % 54.75/54.96 (assume @p1458 (forall @t1303 (not (= @t1912 @t1965)))) % 54.75/54.96 (assume @p1459 (forall @t1303 (= (tptp.hAPP @t1967 @t1965) (tptp.c_Int_OBit0 @t1966)))) % 54.75/54.96 (assume @p1460 (forall @t677 (= @t1964 (tptp.hAPP @t1091 @t359)))) % 54.75/54.96 (assume @p1461 (forall @t1303 (= (tptp.hAPP (tptp.hAPP @t723 @t1964) @t531) @t1968))) % 54.75/54.96 (assume @p1462 (forall @t1303 (= (tptp.hAPP @t1971 @t1965) @t1970))) % 54.75/54.96 (assume @p1463 (forall @t677 (= (tptp.hAPP @t726 @t1964) (tptp.c_Int_OBit0 @t824)))) % 54.75/54.96 (assume @p1464 (forall @t1914 (not (= tptp.c_Int_OMin @t1965)))) % 54.75/54.96 (assume @p1465 (forall @t677 (not (= @t1964 tptp.c_Int_OMin)))) % 54.75/54.96 (assume @p1466 (forall @t1919 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1972) @t624)) @t1917))) % 54.75/54.96 (assume @p1467 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1869 @t1957)) @t1920))) % 54.75/54.96 (assume @p1468 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1958 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t1410 tptp.c_Int_OPls))))) % 54.75/54.96 (assume @p1469 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1958 @t1899)) @t1745))) % 54.75/54.96 (assume @p1470 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1961 @t1904)) @t1903))) % 54.75/54.96 (assume @p1471 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1870 @t1957)) (tptp.hBOOL (tptp.hAPP @t1870 @t349))))) % 54.75/54.96 (assume @p1472 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1962 tptp.c_Int_OPls)) @t1921))) % 54.75/54.96 (assume @p1473 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1911 @t1956)) @t1526))) % 54.75/54.96 (assume @p1474 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1910 @t1959)) @t1909))) % 54.75/54.96 (assume @p1475 (forall @t1303 (= (tptp.hAPP @t1967 @t1913) @t1973))) % 54.75/54.96 (assume @p1476 (forall @t1303 (= (tptp.hAPP @t1974 @t1965) @t1973))) % 54.75/54.96 (assume @p1477 (forall @t1914 (= (tptp.hAPP @t1933 @t1965) (tptp.c_Int_OBit0 (tptp.hAPP @t1933 @t531))))) % 54.75/54.96 (assume @p1478 (forall @t1303 (= (tptp.hAPP @t1975 @t1965) (tptp.c_Int_OBit1 @t1969)))) % 54.75/54.96 (assume @p1479 (forall @t1303 (= (tptp.hAPP @t1975 @t1913) @t1970))) % 54.75/54.96 (assume @p1480 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1958 tptp.c_Int_OMin)) @t1922))) % 54.75/54.96 (assume @p1481 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1850 @t1957)) @t1923))) % 54.75/54.96 (assume @p1482 (forall @t1750 (= (tptp.hAPP (tptp.hAPP @t1333 @t1977) @t1947) @t1976))) % 54.75/54.96 (assume @p1483 (forall @t1919 (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP @t1613 @t1972))) @t1925))) % 54.75/54.96 (assume @p1484 (forall @t677 (= (tptp.c_Int_Opred @t1964) (tptp.c_Int_OBit1 @t1875)))) % 54.75/54.96 (assume @p1485 (forall @t677 (= (tptp.c_Int_Opred @t1912) @t1964))) % 54.75/54.96 (assume @p1486 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin))) % 54.75/54.96 (assume @p1487 (forall @t1978 (=> @t1624 (= (tptp.c_Int_Oiszero @t14 (tptp.hAPP @t1617 @t1972)) (tptp.c_Int_Oiszero @t14 @t1618))))) % 54.75/54.96 (assume @p1488 (forall @t677 (= (tptp.c_Int_Osucc @t1912) (tptp.c_Int_OBit0 @t1846)))) % 54.75/54.96 (assume @p1489 (forall @t677 (= (tptp.c_Int_Osucc @t1964) @t1912))) % 54.75/54.96 (assume @p1490 (forall @t1710 (=> @t1615 (= @t1979 (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t385 @t1694)) @t1694))))) % 54.75/54.96 (assume @p1491 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1906 @t1959)) @t1909))) % 54.75/54.96 (assume @p1492 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1908 @t1956)) @t1526))) % 54.75/54.96 (assume @p1493 (forall @t1907 (= (tptp.hBOOL (tptp.hAPP @t1963 @t1904)) @t1903))) % 54.75/54.96 (assume @p1494 (forall @t1527 (= (tptp.hBOOL (tptp.hAPP @t1962 @t1899)) @t1745))) % 54.75/54.96 (assume @p1495 (forall @t1303 (= (tptp.hAPP (tptp.hAPP @t723 @t1912) @t531) (tptp.hAPP (tptp.hAPP @t630 @t1968) @t531)))) % 54.75/54.96 (assume @p1496 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1962 tptp.c_Int_OMin)) @t1922))) % 54.75/54.96 (assume @p1497 (forall @t1915 (= (tptp.hBOOL (tptp.hAPP @t1849 @t1957)) @t1923))) % 54.75/54.96 (assume @p1498 (forall @t1914 (= (tptp.hAPP @t1930 @t1965) @t1932))) % 54.75/54.96 (assume @p1499 (forall @t1914 (= (tptp.hAPP @t1930 @t1913) (tptp.c_Int_OBit0 @t1931)))) % 54.75/54.96 (assume @p1500 (forall @t1303 (= (tptp.hAPP @t1971 @t1913) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP @t1440 @t1875) @t531))))) % 54.75/54.96 (assume @p1501 (forall @t1303 (= (tptp.hAPP @t1974 @t1913) (tptp.c_Int_OBit0 (tptp.hAPP @t1091 (tptp.c_Int_Osucc @t531)))))) % 54.75/54.96 (assume @p1502 (forall @t1710 (=> @t1615 (= (tptp.hAPP @t740 @t1694) @t1979)))) % 54.75/54.96 (assume @p1503 (forall @t77 (=> (tptp.hBOOL (tptp.hAPP @t949 @t1980)) (and (tptp.hBOOL (tptp.hAPP @t949 (tptp.hAPP @t1613 (tptp.c_Int_OBit0 @t76)))) (tptp.hBOOL (tptp.hAPP @t949 (tptp.hAPP @t1613 (tptp.c_Int_OBit1 @t76)))))))) % 54.75/54.96 (assume @p1504 (forall @t779 (=> @t1615 (= (tptp.hAPP @t1984 @t365) @t1982)))) % 54.75/54.96 (assume @p1505 (forall @t779 (=> @t1615 (= (tptp.hAPP @t1853 @t1983) @t1982)))) % 54.75/54.96 (assume @p1506 (forall @t305 (=> @t1615 (= @t738 @t1983)))) % 54.75/54.96 (assume @p1507 (forall @t305 (=> @t647 (= (tptp.hAPP @t1784 @t1985) @t384)))) % 54.75/54.96 (assume @p1508 (forall @t392 (=> @t764 (= (= @t1986 @t15) @t389)))) % 54.75/54.96 (assume @p1509 (= @t1985 @t1934)) % 54.75/54.96 (assume @p1510 (= @t1934 @t1985)) % 54.75/54.96 (assume @p1511 (forall @t291 (=> @t415 (= @t931 @t1987)))) % 54.75/54.96 (assume @p1512 (forall @t304 (=> @t813 (= @t1988 @t884)))) % 54.75/54.96 (assume @p1513 (tptp.hBOOL (tptp.hAPP @t949 @t1939))) % 54.75/54.96 (assume @p1514 (forall @t77 (= (tptp.hAPP @t360 @t1985) @t1891))) % 54.75/54.96 (assume @p1515 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t316 @t1985) @t76) @t1891))) % 54.75/54.96 (assume @p1516 (forall @t305 (=> @t647 (= (tptp.hAPP @t1769 @t1985) @t736)))) % 54.75/54.96 (assume @p1517 (forall @t304 (=> @t773 (= (tptp.hAPP @t1787 @t1985) @t1988)))) % 54.75/54.96 (assume @p1518 (forall @t693 (= (tptp.hAPP @t1990 @t365) @t1989))) % 54.75/54.96 (assume @p1519 (forall @t693 (= (tptp.hAPP (tptp.hAPP @t818 @t365) @t1985) @t1989))) % 54.75/54.96 (assume @p1520 (forall @t1728 (=> @t813 (= @t1993 @t1991)))) % 54.75/54.96 (assume @p1521 (= @t1939 (tptp.hAPP @t625 @t1985))) % 54.75/54.96 (assume @p1522 (= @t1985 @t1994)) % 54.75/54.96 (assume @p1523 (forall @t304 (=> @t604 (= (tptp.hAPP @t1625 @t1988) @t1988)))) % 54.75/54.96 (assume @p1524 (forall @t304 (=> @t604 (= (tptp.hAPP @t1775 @t1985) @t1988)))) % 54.75/54.96 (assume @p1525 (= (tptp.hAPP @t1137 @t821) @t1985)) % 54.75/54.96 (assume @p1526 (forall @t308 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1895 @t1985) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t306 @t1985)))) % 54.75/54.96 (assume @p1527 (forall @t308 (= (tptp.hAPP (tptp.hAPP @t1343 @t1895) @t1985) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t1357 @t1985))))) % 54.75/54.96 (assume @p1528 (forall @t1750 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1977 @t1947) @t1952))) % 54.75/54.96 (assume @p1529 (forall @t308 (= (tptp.hAPP (tptp.hAPP @t1343 (tptp.hAPP @t362 @t306)) @t1985) @t306))) % 54.75/54.96 (assume @p1530 (forall @t304 (=> @t604 (tptp.hBOOL (tptp.hAPP @t957 @t1988))))) % 54.75/54.96 (assume @p1531 (forall @t605 (=> @t585 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t1987) @t1995)) (=> @t1171 @t1004))))) % 54.75/54.96 (assume @p1532 (forall @t605 (=> @t585 (=> (= @t1987 @t1995) (=> @t1172 (=> @t1171 @t399)))))) % 54.75/54.96 (assume @p1533 (forall @t392 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t560 @t1986)) @t1665)))) % 54.75/54.96 (assume @p1534 (forall @t304 (=> @t604 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1988) @t384)))))) % 54.75/54.96 (assume @p1535 (forall @t705 (=> @t562 (= (= @t1997 @t15) @t912)))) % 54.75/54.96 (assume @p1536 (forall (@list @t679 @t14) (=> (and (tptp.class_Groups_Omonoid__mult @t14) @t1619) (= (tptp.hAPP (tptp.hAPP @t1731 @t1998) @t1985) (tptp.hAPP (tptp.hAPP @t761 @t1998) @t1998))))) % 54.75/54.96 (assume @p1537 (forall @t77 (=> (tptp.hBOOL (tptp.hAPP @t456 @t1985)) (or @t380 (= @t76 @t315))))) % 54.75/54.96 (assume @p1538 (= @t1994 @t1934)) % 54.75/54.96 (assume @p1539 (forall @t392 (=> @t764 (= (= @t1986 @t757) (or (= @t54 @t757) (= @t54 @t759)))))) % 54.75/54.96 (assume @p1540 (forall @t2001 (=> @t415 (= (tptp.hAPP @t1642 @t1992) @t2000)))) % 54.75/54.96 (assume @p1541 (forall @t1728 (=> @t773 (= (tptp.hAPP @t1787 @t1992) @t1993)))) % 54.75/54.96 (assume @p1542 (forall @t605 (=> @t585 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t1987) @t1995)) (=> @t1171 @t601))))) % 54.75/54.96 (assume @p1543 (forall @t605 (=> @t604 (tptp.hBOOL (tptp.hAPP @t957 @t2002))))) % 54.75/54.96 (assume @p1544 (forall @t705 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t1997) @t15)) @t912)))) % 54.75/54.96 (assume @p1545 (forall @t705 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t560 @t1997)) @t929)))) % 54.75/54.96 (assume @p1546 (forall @t605 (=> @t604 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2002) @t384)))))) % 54.75/54.96 (assume @p1547 (forall @t605 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t1609 @t2004) @t1985) (tptp.hAPP (tptp.hAPP @t319 @t2002) @t2003))))) % 54.75/54.96 (assume @p1548 (forall @t1728 (=> @t604 (tptp.hBOOL (tptp.hAPP @t957 @t1993))))) % 54.75/54.96 (assume @p1549 (forall @t2001 (=> @t415 (= (tptp.hAPP @t1642 @t2005) (tptp.hAPP @t865 @t2000))))) % 54.75/54.96 (assume @p1550 (forall @t1728 (=> @t813 (= @t2006 (tptp.hAPP @t744 @t1991))))) % 54.75/54.96 (assume @p1551 (forall @t921 (=> @t773 (= (tptp.hAPP @t1792 @t1992) @t736)))) % 54.75/54.96 (assume @p1552 (forall @t1953 (and (=> @t1950 (= @t2007 @t1976)) (=> @t1951 (= @t2007 (tptp.hAPP (tptp.hAPP @t1333 @t1945) @t1748)))))) % 54.75/54.96 (assume @p1553 (forall @t2009 (= (tptp.hBOOL (tptp.hAPP @t449 @t2008)) (= @t2008 @t821)))) % 54.75/54.96 (assume @p1554 (forall @t77 (=> @t1405 (tptp.hBOOL (tptp.hAPP @t449 (tptp.hAPP @t1359 @t1985)))))) % 54.75/54.96 (assume @p1555 (forall @t605 (=> @t1615 (= (tptp.hAPP (tptp.hAPP @t1609 @t1524) @t1985) (tptp.hAPP (tptp.hAPP @t1466 @t2002) @t2003))))) % 54.75/54.96 (assume @p1556 (forall @t1728 (=> @t604 (=> (tptp.hBOOL (tptp.hAPP @t957 @t2006)) @t1108)))) % 54.75/54.96 (assume @p1557 (forall @t1728 (=> @t604 (=> @t550 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2006) @t384)))))) % 54.75/54.96 (assume @p1558 (forall @t921 (=> @t773 (= (tptp.hAPP @t1792 @t2005) @t774)))) % 54.75/54.96 (assume @p1559 (forall @t921 (=> @t1615 (= (tptp.hAPP @t1854 @t1992) @t736)))) % 54.75/54.96 (assume @p1560 (forall @t921 (=> @t1615 (= (tptp.hAPP @t1854 @t2005) @t1848)))) % 54.75/54.96 (assume @p1561 (forall @t77 (=> @t506 (tptp.hBOOL (tptp.hAPP @t449 (tptp.hAPP (tptp.hAPP @t1343 @t1136) @t1985)))))) % 54.75/54.96 (assume @p1562 (forall @t677 (and (=> @t2017 (= @t2014 @t624)) (=> (not @t2017) (and (=> @t2016 (= @t2014 @t2013)) (=> (not @t2016) (= @t2014 (tptp.hAPP (tptp.hAPP @t630 @t2013) @t734)))))))) % 54.75/54.96 (assume @p1563 (= @t2018 (tptp.hAPP @t2010 @t1884))) % 54.75/54.96 (assume @p1564 (forall (@list @t914 @t289) (=> (and @t1458 @t1615) (=> (tptp.hBOOL (tptp.hAPP @t553 @t914)) (tptp.hBOOL (tptp.hAPP @t553 (tptp.hAPP (tptp.hAPP @t2019 @t914) @t1983))))))) % 54.75/54.96 (assume @p1565 (forall @t2023 (=> (and @t2022 @t1623) (= (tptp.hBOOL (tptp.hAPP @t560 (tptp.hAPP (tptp.hAPP @t2021 @t2020) (tptp.hAPP @t1617 @t1938)))) (tptp.hBOOL (tptp.hAPP @t560 @t2020)))))) % 54.75/54.96 (assume @p1566 (tptp.c_Nat__Transfer_Ois__nat @t1939)) % 54.75/54.96 (assume @p1567 (forall (@list @t349 @t2 @t102 @t347) (=> (forall @t1235 (=> (and @t2024 @t1843) @t1842)) (=> @t468 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t656) @t349)) (=> @t1840 (exists @t1235 (and @t2024 @t1839 @t1838)))))))) % 54.75/54.96 (assume @p1568 (= (tptp.hAPP (tptp.hAPP @t2025 @t2015) @t2018) @t2015)) % 54.75/54.96 (assume @p1569 (forall @t304 (=> @t2027 (= (tptp.hAPP @t2026 @t384) @t384)))) % 54.75/54.96 (assume @p1570 (forall @t304 (=> @t2028 (= (tptp.hAPP (tptp.hAPP @t2019 @t384) @t181) @t384)))) % 54.75/54.96 (assume @p1571 (forall @t327 (=> @t2028 (= (tptp.hAPP @t2031 @t26) (tptp.hAPP (tptp.hAPP @t319 @t2030) @t2029))))) % 54.75/54.96 (assume @p1572 (forall (@list @t679 @t365 @t367 @t288 @t289) (=> @t2034 (= (tptp.hAPP (tptp.hAPP @t739 @t2033) (tptp.hAPP (tptp.hAPP @t2019 @t365) @t679)) (tptp.hAPP (tptp.hAPP @t2019 @t866) (tptp.hAPP @t930 @t679)))))) % 54.75/54.96 (assume @p1573 (forall @t327 (=> @t2028 (= (tptp.hAPP @t744 @t2029) (tptp.hAPP (tptp.hAPP @t2019 @t751) @t26))))) % 54.75/54.96 (assume @p1574 (forall @t327 (=> @t2028 (= (tptp.hAPP (tptp.hAPP @t2019 @t1475) @t26) (tptp.hAPP (tptp.hAPP @t1466 @t2030) @t2029))))) % 54.75/54.96 (assume @p1575 (forall @t304 (=> @t2028 (= (tptp.hAPP @t2026 @t736) @t181)))) % 54.75/54.96 (assume @p1576 (forall @t552 (=> @t2034 @t2037))) % 54.75/54.96 (assume @p1577 (forall @t552 (=> @t2034 @t2039))) % 54.75/54.96 (assume @p1578 (forall @t552 (=> @t2028 (= @t2036 (tptp.hAPP @t2038 @t274))))) % 54.75/54.96 (assume @p1579 (forall @t1726 (=> @t2034 @t2040))) % 54.75/54.96 (assume @p1580 (forall @t552 (=> @t1458 @t2041))) % 54.75/54.96 (assume @p1581 (tptp.c_Nat__Transfer_Ois__nat @t624)) % 54.75/54.96 (assume @p1582 (forall @t400 (=> @t2043 (=> @t2042 (tptp.c_Nat__Transfer_Ois__nat @t1139))))) % 54.75/54.96 (assume @p1583 (forall @t693 (tptp.c_Nat__Transfer_Ois__nat @t1140))) % 54.75/54.96 (assume @p1584 (tptp.c_Nat__Transfer_Ois__nat @t734)) % 54.75/54.96 (assume @p1585 (forall @t400 (=> @t2043 (=> @t2042 (tptp.c_Nat__Transfer_Ois__nat @t1098))))) % 54.75/54.96 (assume @p1586 (forall @t400 (=> @t2043 (=> @t2042 (tptp.c_Nat__Transfer_Ois__nat @t1290))))) % 54.75/54.96 (assume @p1587 (forall @t400 (=> @t2043 (=> @t2042 (tptp.c_Nat__Transfer_Ois__nat @t1372))))) % 54.75/54.96 (assume @p1588 (forall @t1629 (=> @t2043 (tptp.c_Nat__Transfer_Ois__nat @t1699)))) % 54.75/54.96 (assume @p1589 (forall @t771 (=> @t2022 (= (tptp.hBOOL (tptp.hAPP @t1103 @t2044)) @t1131)))) % 54.75/54.96 (assume @p1590 (forall @t771 (=> @t2022 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2044) @t15)) @t1130)))) % 54.75/54.96 (assume @p1591 (forall @t327 (=> @t1458 (=> @t1023 (=> @t1112 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2030) @t2029))))))) % 54.75/54.96 (assume @p1592 (forall @t327 (=> @t1458 (=> @t1023 (=> @t1125 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2029) @t2030))))))) % 54.75/54.96 (assume @p1593 (forall @t346 (=> @t2046 (=> @t675 (=> @t910 @t2045))))) % 54.75/54.96 (assume @p1594 (forall @t327 (=> @t2046 (=> @t491 (=> @t904 @t2045))))) % 54.75/54.96 (assume @p1595 (forall @t605 (=> @t2046 (=> @t2049 (=> @t2048 @t2047))))) % 54.75/54.96 (assume @p1596 (forall @t605 (=> @t2046 (=> @t2049 (=> @t2052 @t2051))))) % 54.75/54.96 (assume @p1597 (forall @t605 (=> @t2046 (=> @t936 (=> @t2048 @t2051))))) % 54.75/54.96 (assume @p1598 (forall @t605 (=> @t2046 (=> @t936 (=> @t2052 @t2047))))) % 54.75/54.96 (assume @p1599 (forall @t771 (=> @t2022 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2044) @t15)) (or (and @t561 @t2054) (and @t558 @t2053)))))) % 54.75/54.96 (assume @p1600 (forall @t771 (=> @t2022 (= (tptp.hBOOL (tptp.hAPP @t560 @t2044)) (or (and @t561 @t2053) (and @t558 @t2054)))))) % 54.75/54.96 (assume @p1601 (forall @t334 (=> @t2062 (= @t2061 (and (=> @t2058 @t2057) @t2056))))) % 54.75/54.96 (assume @p1602 (forall @t2065 (=> @t2062 (= @t2064 (and (=> @t2058 @t2063) @t2056))))) % 54.75/54.96 (assume @p1603 (forall @t501 (=> @t2034 (=> @t1399 (= (tptp.hAPP (tptp.hAPP @t2019 @t856) @t817) @t2035))))) % 54.75/54.96 (assume @p1604 (forall @t501 (=> @t2034 (=> @t1399 (= (tptp.hAPP (tptp.hAPP @t2019 @t907) @t906) @t2035))))) % 54.75/54.96 (assume @p1605 (forall (@list @t629 @t16 @t57 @t659 @t14) (=> @t2066 (=> @t928 (=> (not @t1851) (= (= (tptp.hAPP (tptp.hAPP @t2021 @t16) @t659) (tptp.hAPP (tptp.hAPP @t2021 @t629) @t57)) (= @t853 @t854))))))) % 54.75/54.96 (assume @p1606 (forall @t501 (=> @t2028 (=> @t1399 (=> (= @t856 @t274) (= @t181 @t2029)))))) % 54.75/54.96 (assume @p1607 (forall @t1113 (=> @t2028 (=> @t1399 (=> (= @t274 @t856) (= @t2029 @t181)))))) % 54.75/54.96 (assume @p1608 (forall @t2068 (=> @t2067 (=> @t2058 (= @t2064 @t2063))))) % 54.75/54.96 (assume @p1609 (forall @t486 (=> @t2067 (=> @t2058 (= @t2061 @t2057))))) % 54.75/54.96 (assume @p1610 (forall @t417 (=> @t2067 (=> (not @t842) (= (= @t2044 @t757) @t767))))) % 54.75/54.96 (assume @p1611 (forall @t304 (=> @t2028 @t2070))) % 54.75/54.96 (assume @p1612 (forall @t304 (=> @t2027 (and (=> @t847 (= @t2069 @t384)) @t2070)))) % 54.75/54.96 (assume @p1613 (forall @t710 (=> @t2028 (=> @t846 @t2039)))) % 54.75/54.96 (assume @p1614 (forall @t710 (=> @t2028 (=> @t846 @t2037)))) % 54.75/54.96 (assume @p1615 (forall (@list @t76 @t181 @t274 @t289) (=> @t2071 (=> @t846 @t2040)))) % 54.75/54.96 (assume @p1616 (forall @t710 (=> @t2046 (=> @t846 @t2041)))) % 54.75/54.96 (assume @p1617 (forall @t1728 (=> @t2034 (= (tptp.hAPP @t2072 @t1723) (tptp.hAPP (tptp.hAPP @t1609 (tptp.hAPP @t2072 @t181)) @t76))))) % 54.75/54.96 (assume @p1618 (forall @t400 (=> @t2043 (=> @t2042 (tptp.c_Nat__Transfer_Ois__nat @t1340))))) % 54.75/54.96 (assume @p1619 (forall @t605 (=> @t2046 (=> @t2074 (=> @t2048 @t2073))))) % 54.75/54.96 (assume @p1620 (forall @t605 (=> @t2046 (=> @t2074 (=> @t2052 @t2076))))) % 54.75/54.96 (assume @p1621 (forall @t2082 (=> @t2046 (=> @t1172 (=> @t1004 (=> @t2081 (=> @t2080 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2079) @t2078))))))))) % 54.75/54.96 (assume @p1622 (forall @t2082 (=> @t2046 (=> @t1172 (=> @t601 (=> @t2081 (=> @t2080 @t2083))))))) % 54.75/54.96 (assume @p1623 (forall @t2082 (=> @t2046 (=> @t936 (=> @t1004 (=> @t2081 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t679) @t365)) @t2083))))))) % 54.75/54.96 (assume @p1624 (forall @t605 (=> @t2046 (=> @t1172 (=> @t2048 @t2076))))) % 54.75/54.96 (assume @p1625 (forall @t605 (=> @t2046 (=> @t1172 (=> @t2052 @t2073))))) % 54.75/54.96 (assume @p1626 (forall @t327 (=> @t2046 (=> @t491 (=> @t910 @t2087))))) % 54.75/54.96 (assume @p1627 (forall @t346 (=> @t2046 (=> @t675 (=> @t904 @t2087))))) % 54.75/54.96 (assume @p1628 (forall @t2068 (=> @t2091 (=> @t888 (= @t2090 @t2088))))) % 54.75/54.96 (assume @p1629 (forall @t486 (=> @t2091 (=> @t888 (= @t2093 @t2092))))) % 54.75/54.96 (assume @p1630 (forall @t2095 (=> @t2046 (=> @t2052 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2094) @t288)) (tptp.hBOOL (tptp.hAPP @t666 @t2033))))))) % 54.75/54.96 (assume @p1631 (forall @t670 (=> @t2046 (=> @t2052 (=> (tptp.hBOOL (tptp.hAPP @t600 @t2094)) (tptp.hBOOL (tptp.hAPP @t2050 @t365))))))) % 54.75/54.96 (assume @p1632 (forall @t2068 (=> @t2091 (=> @t889 (= @t2090 @t2092))))) % 54.75/54.96 (assume @p1633 (forall @t486 (=> @t2091 (=> @t889 (= @t2093 @t2088))))) % 54.75/54.96 (assume @p1634 (forall @t2065 (=> @t2022 (= @t2090 (and (=> @t889 @t2092) (=> @t2097 (and (=> @t888 @t2088) (=> @t2096 @t561)))))))) % 54.75/54.96 (assume @p1635 (forall @t334 (=> @t2022 (= @t2093 (and (=> @t889 @t2088) (=> @t2097 (and (=> @t888 @t2092) (=> @t2096 @t558)))))))) % 54.75/54.96 (assume @p1636 (forall @t1806 (= @t2098 @t1051))) % 54.75/54.96 (assume @p1637 (forall @t2105 (=> @t2071 (=> @t2104 (=> @t2103 (= (tptp.hAPP @t2102 @t2101) (tptp.hAPP (tptp.hAPP @t2019 (tptp.hAPP (tptp.hAPP @t319 @t866) @t2100)) @t2099))))))) % 54.75/54.96 (assume @p1638 (forall @t2107 (=> @t2071 (=> @t2103 (= (tptp.hAPP (tptp.hAPP @t319 @t2079) @t367) (tptp.hAPP @t2106 @t365)))))) % 54.75/54.96 (assume @p1639 (forall @t670 (=> @t2034 (=> @t2104 (= (tptp.hAPP @t2102 @t365) @t2108))))) % 54.75/54.96 (assume @p1640 (forall @t2107 (=> @t2071 (=> @t2103 (= (tptp.hAPP @t1522 @t2110) (tptp.hAPP (tptp.hAPP @t2019 (tptp.hAPP (tptp.hAPP @t319 @t2109) @t367)) @t365)))))) % 54.75/54.96 (assume @p1641 (forall @t2095 (=> @t2034 (=> @t2104 (= (tptp.hAPP @t1981 @t2033) @t2108))))) % 54.75/54.96 (assume @p1642 (forall @t2105 (=> @t2071 (=> @t2104 (=> @t2103 (= (tptp.hAPP (tptp.hAPP @t1466 @t2033) @t2101) (tptp.hAPP (tptp.hAPP @t2019 (tptp.hAPP (tptp.hAPP @t1466 @t866) @t2100)) @t2099))))))) % 54.75/54.96 (assume @p1643 (forall @t2107 (=> @t2071 (=> @t2103 (= (tptp.hAPP (tptp.hAPP @t1466 @t2079) @t367) (tptp.hAPP (tptp.hAPP @t2019 (tptp.hAPP @t1523 @t2094)) @t365)))))) % 54.75/54.96 (assume @p1644 (forall @t2107 (=> @t2071 (=> @t2103 (= (tptp.hAPP @t1523 @t2110) (tptp.hAPP (tptp.hAPP @t2019 (tptp.hAPP (tptp.hAPP @t1466 @t2109) @t367)) @t365)))))) % 54.75/54.96 (assume @p1645 (forall @t2117 (=> @t2116 (= (= @t2115 @t54) (and (=> @t2114 (= @t52 @t2113)) @t2112))))) % 54.75/54.96 (assume @p1646 (forall @t2120 (=> @t2116 (= (= @t2060 @t1618) (and (=> @t2058 (= @t52 @t2119)) @t2118))))) % 54.75/54.96 (assume @p1647 (forall @t2121 (=> @t2116 (= (= @t1618 @t2060) (and (=> @t2058 (= @t2119 @t52)) @t2118))))) % 54.75/54.96 (assume @p1648 (forall @t2122 (=> @t2116 (= (= @t54 @t2115) (and (=> @t2114 (= @t2113 @t52)) @t2112))))) % 54.75/54.96 (assume @p1649 (forall @t552 (=> @t2046 (=> @t491 (tptp.hBOOL (tptp.hAPP @t490 @t2123)))))) % 54.75/54.96 (assume @p1650 (forall @t552 (=> @t2046 (=> @t491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t2123) @t274)))))) % 54.75/54.96 (assume @p1651 (forall @t291 (=> @t2124 (= (tptp.hAPP @t2032 @t1871) @t384)))) % 54.75/54.96 (assume @p1652 (forall @t1014 (=> @t1458 (=> @t2052 (= (tptp.hAPP (tptp.hAPP @t2019 @t1712) @t367) (tptp.hAPP @t1625 @t2033)))))) % 54.75/54.96 (assume @p1653 (forall @t291 (=> @t2125 (= (tptp.hAPP @t2032 @t1928) @t288)))) % 54.75/54.96 (assume @p1654 (forall @t304 (=> @t2125 (= (tptp.hAPP @t2026 @t1928) @t181)))) % 54.75/54.96 (assume @p1655 (forall @t291 (=> @t2124 (= (tptp.hAPP @t2032 @t1848) @t775)))) % 54.75/54.96 (assume @p1656 (= @t2015 (tptp.hAPP @t2010 tptp.c_Int_OPls))) % 54.75/54.96 (assume @p1657 (forall @t334 (=> @t2022 (= @t2128 (and (=> @t889 @t2127) (=> @t2097 (and (=> @t888 @t2126) (=> @t2096 @t1106)))))))) % 54.75/54.96 (assume @p1658 (forall @t2065 (=> @t2022 (= @t2130 (and (=> @t889 @t2126) (=> @t2097 (and (=> @t888 @t2127) (=> @t2096 @t1105)))))))) % 54.75/54.96 (assume @p1659 (forall @t486 (=> @t2091 (=> @t889 (= @t2128 @t2127))))) % 54.75/54.96 (assume @p1660 (forall @t2068 (=> @t2091 (=> @t889 (= @t2130 @t2126))))) % 54.75/54.96 (assume @p1661 (forall @t670 (=> @t2046 (=> @t2052 (=> (tptp.hBOOL (tptp.hAPP @t962 @t2094)) (tptp.hBOOL (tptp.hAPP @t2075 @t365))))))) % 54.75/54.96 (assume @p1662 (forall @t2095 (=> @t2046 (=> @t2052 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2094) @t288)) (tptp.hBOOL (tptp.hAPP @t1011 @t2033))))))) % 54.75/54.96 (assume @p1663 (forall @t486 (=> @t2091 (=> @t888 (= @t2128 @t2126))))) % 54.75/54.96 (assume @p1664 (forall @t2068 (=> @t2091 (=> @t888 (= @t2130 @t2127))))) % 54.75/54.96 (assume @p1665 (forall @t346 (=> @t2046 (=> @t1020 (=> @t1112 @t2131))))) % 54.75/54.96 (assume @p1666 (forall @t327 (=> @t1458 (=> @t1023 (=> @t1125 @t2131))))) % 54.75/54.96 (assume @p1667 (forall @t2122 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t480 @t2115)) (and (=> @t2135 @t2137) (=> @t2136 (and (=> @t2132 @t2134) (=> @t2133 @t558)))))))) % 54.75/54.96 (assume @p1668 (forall @t2121 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t1673 @t2060)) (and (=> @t889 @t2140) (=> @t2097 (and (=> @t888 @t2139) (=> @t2096 @t2132)))))))) % 54.75/54.96 (assume @p1669 (forall @t2120 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t2089 @t1618)) (and (=> @t889 @t2139) (=> @t2097 (and (=> @t888 @t2140) (=> @t2096 @t2135)))))))) % 54.75/54.96 (assume @p1670 (forall @t2117 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2115) @t54)) (and (=> @t2135 @t2134) (=> @t2136 (and (=> @t2132 @t2137) (=> @t2133 @t561)))))))) % 54.75/54.96 (assume @p1671 (forall (@list @t306 @t76 @t181 @t289) (=> @t2071 (=> @t848 (=> @t1092 (= (tptp.hAPP @t1722 @t1447) (tptp.hAPP (tptp.hAPP @t2019 @t1729) @t1723))))))) % 54.75/54.96 (assume @p1672 (forall @t291 (=> @t2124 (= (tptp.hAPP (tptp.hAPP @t2019 @t1848) @t288) (tptp.hAPP @t748 (tptp.hAPP @t2072 @t288)))))) % 54.75/54.96 (assume @p1673 (tptp.c_Nat__Transfer_Ois__nat @t1935)) % 54.75/54.96 (assume @p1674 (forall @t2117 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2115) @t54)) (and (=> @t2135 @t2142) (=> @t2136 (and (=> @t2132 @t2141) (=> @t2133 @t1105)))))))) % 54.75/54.96 (assume @p1675 (forall @t2120 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t2129 @t1618)) (and (=> @t889 @t2144) (=> @t2097 (and (=> @t888 @t2143) (=> @t2096 (tptp.hBOOL (tptp.hAPP @t1103 @t1618)))))))))) % 54.75/54.96 (assume @p1676 (forall @t2121 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t2145 @t2060)) (and (=> @t889 @t2143) (=> @t2097 (and (=> @t888 @t2144) (=> @t2096 (tptp.hBOOL (tptp.hAPP @t2145 @t15)))))))))) % 54.75/54.96 (assume @p1677 (forall @t2122 (=> @t2138 (= (tptp.hBOOL (tptp.hAPP @t1058 @t2115)) (and (=> @t2135 @t2141) (=> @t2136 (and (=> @t2132 @t2142) (=> @t2133 @t1106)))))))) % 54.75/54.96 (assume @p1678 (forall @t933 (and (=> @t2148 (= @t2147 @t76)) (=> (not @t2148) (= @t2147 (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP @t2146 @t2018) @t254)))))) % 54.75/54.96 (assume @p1679 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2015) @t19)) % 54.75/54.96 (assume @p1680 (= (tptp.hAPP @t2149 @t2015) @t19)) % 54.75/54.96 (assume @p1681 (forall @t2150 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t14 @t49 @t48 @t2015) @t49))) % 54.75/54.96 (assume @p1682 (forall (@list @t510 @t274) (and (=> @t2156 (= @t2152 @t2018)) (=> (not @t2156) (= @t2152 (tptp.hAPP (tptp.hAPP @t2151 @t2018) (tptp.c_Random_Olog @t274 (tptp.hAPP (tptp.hAPP @t2012 @t510) @t274)))))))) % 54.75/54.96 (assume @p1683 (forall @t605 (=> @t2046 (=> (forall (@list @t2157) (=> (tptp.hBOOL (tptp.hAPP @t553 @t2157)) (tptp.hBOOL (tptp.hAPP @t962 (tptp.hAPP @t868 @t2157))))) @t1004)))) % 54.75/54.96 (assume @p1684 (forall (@list @t914 @t531 @t359) (and (=> @t2159 (= @t2158 (tptp.hAPP (tptp.hAPP @t2025 (tptp.hAPP (tptp.hAPP @t2151 @t914) @t359)) @t531))) (=> @t2160 (= @t2158 (tptp.hAPP (tptp.hAPP @t2025 @t359) @t531)))))) % 54.75/54.96 (assume @p1685 (forall (@list @t359 @t953) (and (=> @t2162 (= @t2161 @t2018)) (=> (not @t2162) (= @t2161 (tptp.hAPP (tptp.hAPP @t2151 @t359) @t2018)))))) % 54.75/54.96 (assume @p1686 (forall @t2165 (= (tptp.hAPP @t2149 @t2164) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t2149 @t2163)) @t315)))) % 54.75/54.96 (assume @p1687 (forall @t2165 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2164) (tptp.hAPP (tptp.hAPP @t316 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size @t2163)) @t315)))) % 54.75/54.96 (assume @p1688 (= tptp.c_Code__Numeral_Osubtract__code__numeral @t2025)) % 54.75/54.96 (assume @p1689 (forall @t476 (= @t2166 (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t76) @t306)))) % 54.75/54.96 (assume @p1690 (forall (@list @t2167 @t2168) (= (= @t2169 (tptp.c_Code__Numeral_OSuc__code__numeral @t2167)) (= @t2168 @t2167)))) % 54.75/54.96 (assume @p1691 (forall (@list @t2170) (not (= @t2015 (tptp.c_Code__Numeral_OSuc__code__numeral @t2170))))) % 54.75/54.96 (assume @p1692 (forall (@list @t2171) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral @t2171) @t2015)))) % 54.75/54.96 (assume @p1693 (forall @t2173 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case @t14 @t49 @t48 @t2169) @t2172))) % 54.75/54.96 (assume @p1694 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t2025 (tptp.c_Code__Numeral_OSuc__code__numeral @t76)) @t2018) @t76))) % 54.75/54.96 (assume @p1695 (forall @t1001 (=> @t2181 (and (=> @t2178 (= @t2176 (tptp.hAPP @t2180 @t2177))) (=> (not @t2178) (= @t2176 (tptp.hAPP @t2175 (tptp.c_Divides_OnegDivAlg @t734 @t2174)))))))) % 54.75/54.96 (assume @p1696 (forall (@list @t1671 @t1813) (and (=> @t2189 (= @t2188 @t1818)) (=> (not @t2189) (= @t2188 (tptp.hAPP (tptp.hAPP @t2187 (tptp.hAPP @t1613 (tptp.hAPP (tptp.hAPP @t630 @t1671) (tptp.hAPP @t726 @t1813)))) @t2186)))))) % 54.75/54.96 (assume @p1697 (forall @t2173 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t14 @t49 @t48 @t2169) (tptp.hAPP @t2172 (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t14 @t49 @t48 @t2168))))) % 54.75/54.96 (assume @p1698 (forall @t476 (=> @t506 (=> @t1092 (= @t2191 (tptp.hAPP (tptp.hAPP @t2190 @t1448) @t1490)))))) % 54.75/54.96 (assume @p1699 (forall @t1178 (= (not (= @t434 @t2192)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2155 @t2018) @t434))))) % 54.75/54.96 (assume @p1700 (forall @t308 (= (tptp.c_Divides_Odivmod__nat @t306 @t19) @t2194))) % 54.75/54.96 (assume @p1701 (forall @t523 (= (= @t2196 @t2195) @t518))) % 54.75/54.96 (assume @p1702 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral))) % 54.75/54.96 (assume @p1703 (forall @t372 (=> @t460 (= @t2191 @t2194)))) % 54.75/54.96 (assume @p1704 (forall @t504 (= @t465 @t1073))) % 54.75/54.96 (assume @p1705 (forall @t1919 (= @t2202 (tptp.hAPP @t2201 @t2199)))) % 54.75/54.96 (assume @p1706 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t2205 @t2204) @t2203) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t981)))) % 54.75/54.96 (assume @p1707 (forall @t372 (= @t2191 @t2206))) % 54.75/54.96 (assume @p1708 (forall (@list @t629 @t57 @t14) (=> @t1623 (= (tptp.hAPP @t2210 @t2202) (tptp.hAPP @t2212 @t2209))))) % 54.75/54.96 (assume @p1709 (forall @t926 (= (tptp.hAPP @t2215 @t2202) (tptp.hAPP @t2216 (tptp.hAPP (tptp.hAPP @t2214 @t723) @t2213))))) % 54.75/54.96 (assume @p1710 (forall @t1674 (=> @t1623 (= (tptp.hAPP @t2217 @t2202) (tptp.hAPP @t2218 @t2209))))) % 54.75/54.96 (assume @p1711 (forall (@list @t57 @t1146) (and (=> @t2220 (= @t2219 @t732)) (=> (not @t2220) (= @t2219 (tptp.hAPP (tptp.hAPP @t2187 (tptp.hAPP @t1568 @t1146)) @t2186)))))) % 54.75/54.96 (assume @p1712 (forall @t1303 (=> @t823 (=> (tptp.hBOOL (tptp.hAPP @t642 @t531)) (= (tptp.c_Divides_OnegDivAlg @t359 @t531) @t2221))))) % 54.75/54.96 (assume @p1713 (forall @t1272 (= (tptp.c_Divides_OnegDivAlg @t1836 @t274) (tptp.hAPP @t2180 @t1835)))) % 54.75/54.96 (assume @p1714 (forall @t620 (=> @t437 (= @t618 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t14 (tptp.hAPP (tptp.hAPP @t2222 @t329) @t757) @t102 @t15))))) % 54.75/54.96 (assume @p1715 (forall (@list @t2020 @t1435 @t52) (= (tptp.hAPP @t2231 @t2230) (tptp.hAPP (tptp.hAPP @t2229 (tptp.hAPP (tptp.hAPP @t1440 @t2020) @t52)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2224 @t2224) (tptp.hAPP (tptp.hAPP @t2228 (tptp.hAPP @t2227 @t949)) (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t630 @t2223) @t734)))) (tptp.hAPP (tptp.hAPP @t2179 @t2223) @t2020)))))) % 54.75/54.96 (assume @p1716 (= @t2015 @t2192)) % 54.75/54.96 (assume @p1717 (= @t2018 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t821))) % 54.75/54.96 (assume @p1718 (forall @t523 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2153 @t2196) @t2195)) @t466))) % 54.75/54.96 (assume @p1719 (forall @t2245 (= (= @t1818 @t436) @t2244))) % 54.75/54.96 (assume @p1720 (forall @t2246 (= (= @t436 @t1818) @t2244))) % 54.75/54.96 (assume @p1721 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t2151 @t2204) @t2203) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t371)))) % 54.75/54.96 (assume @p1722 (forall @t523 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2155 @t2196) @t2195)) @t1077))) % 54.75/54.96 (assume @p1723 (forall @t1919 (and (=> @t1925 (= @t2249 @t19)) (=> (not @t1925) (= @t2249 (tptp.hAPP @t2201 (tptp.hAPP @t2248 @t2199))))))) % 54.75/54.96 (assume @p1724 (forall @t2245 (= (tptp.hBOOL (tptp.hAPP @t1880 @t436)) (tptp.hBOOL (tptp.hAPP @t2243 (tptp.hAPP @t2240 (tptp.hAPP (tptp.hAPP @t2234 (tptp.hAPP (tptp.hAPP @t2233 @t448) tptp.c_Int_Onat)) @t102))))))) % 54.75/54.96 (assume @p1725 (forall @t2246 (= (tptp.hBOOL (tptp.hAPP @t2251 @t1818)) (tptp.hBOOL (tptp.hAPP @t2243 (tptp.hAPP @t2242 (tptp.hAPP @t2240 (tptp.hAPP (tptp.hAPP @t2250 @t465) tptp.c_Int_Onat)))))))) % 54.75/54.96 (assume @p1726 (forall @t2245 (= (tptp.hBOOL (tptp.hAPP @t1881 @t436)) (tptp.hBOOL (tptp.hAPP @t2243 (tptp.hAPP @t2240 (tptp.hAPP (tptp.hAPP @t2234 (tptp.hAPP (tptp.hAPP @t2233 @t963) tptp.c_Int_Onat)) @t102))))))) % 54.75/54.96 (assume @p1727 (forall @t2246 (= (tptp.hBOOL (tptp.hAPP @t1073 @t1818)) (tptp.hBOOL (tptp.hAPP @t2243 (tptp.hAPP @t2242 (tptp.hAPP @t2240 (tptp.hAPP (tptp.hAPP @t2250 @t1063) tptp.c_Int_Onat)))))))) % 54.75/54.96 (assume @p1728 (forall @t476 (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral @t2204) @t2203) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1481)))) % 54.75/54.96 (assume @p1729 (forall @t802 (=> @t1623 (and (=> @t2253 (= @t2252 (tptp.hAPP @t2212 (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2258 @t2255)) @t2207)))) (=> @t2254 (= @t2252 @t757)))))) % 54.75/54.96 (assume @p1730 (forall @t635 (and (=> @t2253 (= @t2259 (tptp.hAPP @t2216 (tptp.hAPP (tptp.hAPP @t2214 (tptp.hAPP (tptp.hAPP @t2261 @t723) (tptp.hAPP @t723 @t57))) @t2213)))) (=> @t2254 (= @t2259 @t734))))) % 54.75/54.96 (assume @p1731 (forall @t1283 (and (=> @t2267 @t2268) (=> (not @t2267) @t2264)))) % 54.75/54.96 (assume @p1732 (forall (@list @t1671 @t629 @t14) (=> @t1623 (and (=> @t2253 (= @t2269 (tptp.hAPP @t2218 (tptp.hAPP (tptp.hAPP @t2208 (tptp.hAPP @t2258 (tptp.hAPP @t761 @t1672))) @t2207)))) (=> @t2254 (= @t2269 @t757)))))) % 54.75/54.96 (assume @p1733 (forall @t2150 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec @t14 @t49 @t48 @t2015) @t49))) % 54.75/54.96 (assume @p1734 (forall @t1750 (=> @t2275 (and (=> @t2274 (= @t2272 (tptp.hAPP @t2180 @t2273))) (=> (not @t2274) (= @t2272 (tptp.hAPP @t2271 (tptp.c_Divides_OnegDivAlg @t1748 @t2270)))))))) % 54.75/54.96 (assume @p1735 (forall @t1293 (=> @t1295 (and (=> @t2266 @t2268) (=> (not @t2266) @t2264))))) % 54.75/54.96 (assume @p1736 (forall @t1385 @t2283)) % 54.75/54.96 (assume @p1737 (forall @t2297 (= (tptp.c_Nat_Onat_Onat__case @t14 @t54 @t2 @t2296) (tptp.hAPP @t2295 (tptp.hAPP (tptp.hAPP @t2293 (tptp.hAPP @t2292 (tptp.c_Nat_Onat_Onat__case @t14 @t54 @t2 @t102))) (tptp.hAPP @t2288 @t2286)))))) % 54.75/54.96 (assume @p1738 (forall @t1001 (=> @t2181 (and (=> @t2299 (= @t2298 @t2281)) (=> (not @t2299) (= @t2298 (tptp.hAPP @t2175 (tptp.c_Divides_OposDivAlg @t734 @t2174)))))))) % 54.75/54.96 (assume @p1739 (forall @t1283 (and (=> @t2302 @t2303) (=> (not @t2302) @t2301)))) % 54.75/54.96 (assume @p1740 (forall (@list @t52) (= @t2231 (tptp.hAPP @t2313 (tptp.hAPP (tptp.hAPP @t2312 (tptp.hAPP @t2311 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2276 @t2310 tptp.tc_Int_Oint) (tptp.hAPP @t2228 (tptp.hAPP @t2227 (tptp.hAPP (tptp.hAPP @t2309 @t949) @t2305)))) (tptp.hAPP (tptp.hAPP @t2308 (tptp.hAPP @t2307 (tptp.hAPP @t2277 (tptp.hAPP (tptp.hAPP @t2304 (tptp.hAPP @t2306 @t1940)) @t734)))) @t2305)))) (tptp.hAPP @t2277 @t1940)))))) % 54.75/54.96 (assume @p1741 (forall @t2150 (= (tptp.c_Nat_Onat_Onat__case @t14 @t49 @t48 @t19) @t49))) % 54.75/54.96 (assume @p1742 (forall @t2315 (= (tptp.c_Nat_Onat_Onat__case @t14 @t49 @t48 @t403) @t2314))) % 54.75/54.96 (assume @p1743 (forall @t1272 (= (tptp.c_Divides_OposDivAlg @t624 @t274) @t2316))) % 54.75/54.96 (assume @p1744 (forall @t379 (= @t1135 (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse @t967 @t102))))) % 54.75/54.96 (assume @p1745 (forall @t379 (= (tptp.hAPP @t1499 @t436) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t19 @t2197 @t1530)))) % 54.75/54.96 (assume @p1746 (forall @t1303 (=> (tptp.hBOOL (tptp.hAPP @t949 @t359)) (=> @t1329 (= (tptp.c_Divides_OposDivAlg @t359 @t531) @t2221))))) % 54.75/54.96 (assume @p1747 (forall @t2319 (= (tptp.c_Nat_Onat_Onat__case @t14 @t54 @t2 @t1818) (tptp.hAPP @t2295 (tptp.hAPP @t2318 @t2317))))) % 54.75/54.96 (assume @p1748 (forall @t1293 (=> @t1295 (and (=> @t1310 @t2303) (=> (not @t1310) @t2301))))) % 54.75/54.96 (assume @p1749 (forall @t1750 (=> @t2275 (and (=> @t2322 (= @t2320 (tptp.hAPP @t2280 @t1748))) (=> (not @t2322) (= @t2320 (tptp.hAPP @t2271 (tptp.c_Divides_OposDivAlg @t1748 @t2270)))))))) % 54.75/54.96 (assume @p1750 (forall @t2332 (=> @t2331 (and (=> @t1248 (= @t2329 @t15)) (=> @t2330 (and (=> @t1245 (= @t2329 (tptp.hAPP @t758 (tptp.hAPP @t718 (tptp.hAPP @t726 @t349))))) (=> (not @t1245) (= @t2329 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2328 @t2327) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2326 (tptp.tc_fun @t2328 @t2327) tptp.tc_Int_Oint) (tptp.c_COMBB @t2256 @t14 tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2326 tptp.tc_Int_Oint) @t2211) @t718))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2256 @t2256) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2290 (tptp.tc_fun @t2256 @t2256) tptp.tc_Int_Oint) @t2208) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2256 @t2290) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2290 (tptp.tc_fun @t2256 @t2290) tptp.tc_Int_Oint) @t2257) (tptp.hAPP @t2291 @t2325))) @t2323))) (tptp.hAPP (tptp.hAPP @t2222 (tptp.hAPP (tptp.hAPP @t2257 @t329) @t2323)) @t757)))) (tptp.c_Divides_Odivmod__int @t349 @t1939)))))))))) % 54.75/54.96 (assume @p1751 (forall @t2297 (= (tptp.hAPP @t2333 @t2296) (tptp.hAPP @t2295 (tptp.hAPP (tptp.hAPP @t2293 (tptp.hAPP @t2292 (tptp.hAPP @t2333 @t102))) (tptp.hAPP (tptp.hAPP @t2293 (tptp.hAPP @t2335 @t2286)) (tptp.hAPP @t2334 @t2286))))))) % 54.75/54.96 (assume @p1752 (forall @t2337 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t181 @t274) @t2336)) (=> (tptp.hBOOL (tptp.hAPP @t449 @t274)) (=> @t1432 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t181 @t1356) (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t1343 @t1190) @t26)) @t1431)))))))) % 54.75/54.96 (assume @p1753 (forall @t2340 (=> (tptp.hBOOL (tptp.hAPP @t2339 @t2336)) (=> @t1432 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1353 @t26) (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t1352 @t1190)) (tptp.hAPP (tptp.hAPP @t1343 @t2338) @t26))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2338 @t26)))))))) % 54.75/54.96 (assume @p1754 (forall @t1412 (=> (tptp.hBOOL (tptp.hAPP @t2348 @t2347)) (and (=> @t2346 (= @t2342 (tptp.hAPP @t2180 @t2345))) (=> (not @t2346) (= @t2342 (tptp.hAPP @t2231 (tptp.c_Divides_OnegDivAlg @t54 @t2341)))))))) % 54.75/54.96 (assume @p1755 (forall @t2351 (= @t2350 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2020 @t4) @t54)) (tptp.hBOOL (tptp.hAPP @t2349 @t4))))))) % 54.75/54.96 (assume @p1756 (forall (@list @t54 @t52 @t2020 @t14) (=> (tptp.hBOOL (tptp.hAPP @t2349 @t52)) (=> @t2352 @t2350)))) % 54.75/54.96 (assume @p1757 (forall (@list @t2353 @t2354 @t76 @t306) (=> @t2356 (=> (tptp.hBOOL (tptp.hAPP @t2355 @t2353)) (= @t2354 @t2353))))) % 54.75/54.96 (assume @p1758 (forall @t2363 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2362 @t2357) @t2358)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.c_Wellfounded_Oaccp @t14 @t2358)) (tptp.c_Wellfounded_Oaccp @t14 @t2357)))))) % 54.75/54.96 (assume @p1759 (forall @t2150 (= (tptp.hAPP @t2364 @t19) @t49))) % 54.75/54.96 (assume @p1760 (forall @t2315 (= (tptp.hAPP @t2364 @t403) (tptp.hAPP @t2314 (tptp.hAPP @t2364 @t402))))) % 54.75/54.96 (assume @p1761 (forall @t372 (tptp.hBOOL (tptp.hAPP @t2355 @t2191)))) % 54.75/54.96 (assume @p1762 (forall (@list @t2354 @t76 @t306) (=> @t2356 (= @t2191 @t2354)))) % 54.75/54.96 (assume @p1763 (forall @t2366 (=> @t2365 (= @t1360 @t914)))) % 54.75/54.96 (assume @p1764 (forall @t2366 (=> @t2365 (= @t1358 @t1190)))) % 54.75/54.96 (assume @p1765 (forall @t372 (tptp.hBOOL (tptp.hAPP @t2355 @t2206)))) % 54.75/54.96 (assume @p1766 (forall (@list @t1190 @t1645) (= (tptp.c_Divides_Odivmod__int @t1645 @t1190) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t1333 @t1645) @t1190)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1645 @t1190))))) % 54.75/54.96 (assume @p1767 (forall @t2372 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t181 @t26) (tptp.hAPP (tptp.hAPP @t2190 @t2371) @t2368))) (=> (tptp.hBOOL (tptp.hAPP @t2339 (tptp.hAPP (tptp.hAPP @t2190 @t2370) @t2367))) (=> @t1432 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel @t1348 @t26) (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 @t2371) @t2370)) (tptp.hAPP (tptp.hAPP @t1343 @t2369) @t26))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2369 @t26))))))))) % 54.75/54.96 (assume @p1768 (forall @t2319 (= (tptp.hAPP @t2333 @t1818) (tptp.hAPP @t2295 (tptp.hAPP @t2318 (tptp.hAPP (tptp.hAPP @t2293 (tptp.hAPP @t2335 tptp.c_Int_Onat)) (tptp.hAPP @t2334 tptp.c_Int_Onat))))))) % 54.75/54.96 (assume @p1769 (forall @t1412 (=> (tptp.hBOOL (tptp.hAPP @t2375 @t2347)) (and (=> @t2374 (= @t2373 (tptp.hAPP @t2280 @t54))) (=> (not @t2374) (= @t2373 (tptp.hAPP @t2231 (tptp.c_Divides_OposDivAlg @t54 @t2341)))))))) % 54.75/54.96 (assume @p1770 (forall @t1412 (=> (tptp.hBOOL (tptp.hAPP @t2376 @t2347)) @t2283))) % 54.75/54.96 (assume @p1771 (= tptp.c_Nitpick_OFrac (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP @t2379 (tptp.hAPP @t2239 (tptp.hAPP @t2241 @t642))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint @t2377) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2378 @t2378 tptp.tc_Int_Oint) @t2324) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2260 @t2378 tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2377 tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) @t734))))) % 54.75/54.96 (assume @p1772 (forall @t1283 (and (=> @t1311 (and (=> @t2385 (= @t2382 @t2300)) (=> (not @t2385) (and (=> @t1389 (= @t2382 @t2316)) (=> @t1390 (= @t2382 @t2384)))))) (=> (not @t1311) (and (=> @t1295 (= @t2382 @t2263)) (=> @t2383 (= @t2382 @t2381))))))) % 54.75/54.96 (assume @p1773 (forall @t2397 (=> (tptp.hBOOL (tptp.hAPP @t2348 @t2396)) (=> (forall @t2395 (=> (tptp.hBOOL (tptp.hAPP @t2348 @t2394)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP @t949 (tptp.hAPP (tptp.hAPP @t630 @t446) @t2389))) @t2393)) @t2392) @t2391))) @t2388)))) % 54.75/54.96 (assume @p1774 (forall (@list @t914 @t1190) (= (tptp.hAPP tptp.c_Divides_OnegateSnd @t2399) (tptp.hAPP @t2398 (tptp.hAPP @t726 @t914))))) % 54.75/54.96 (assume @p1775 (forall (@list @t420 @t14 @t52 @t54 @t49) (=> (tptp.hBOOL @t578) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2403 @t49) @t2402))))) % 54.75/54.96 (assume @p1776 (forall (@list @t420 @t14 @t52 @t54 @t2) (=> @t2405 @t2404))) % 54.75/54.96 (assume @p1777 (forall @t2397 (=> (tptp.hBOOL (tptp.hAPP @t2375 @t2396)) (=> (forall @t2395 (=> (tptp.hBOOL (tptp.hAPP @t2375 @t2394)) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t446) @t2389)) @t2393)) @t2392) @t2391))) @t2388)))) % 54.75/54.96 (assume @p1778 (forall @t663 (=> (tptp.hBOOL (tptp.hAPP @t2410 @t2408)) (and (=> @t2407 (= @t2406 @t16)) (=> (not @t2407) (= @t2406 (tptp.c_Nitpick_Onat__gcd @t659 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t659)))))))) % 54.75/54.96 (assume @p1779 (forall @t1527 (and @t2419 (=> @t2330 (and @t2418 (=> @t2417 (= @t2415 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2225 (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP @t642 @t1525)) @t1452)) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP @t632 @t1525) @t624)) @t1244))) @t2411) @t2412))))))))) % 54.75/54.96 (assume @p1780 (forall (@list @t659 @t16 @t2 @t14 @t420 @t579) (= (tptp.hAPP @t2424 @t2423) (tptp.hAPP @t2421 @t2420)))) % 54.75/54.96 (assume @p1781 (forall (@list @t594 @t297 @t274 @t181 @t14 @t289) (=> (= @t2426 (tptp.hAPP (tptp.hAPP @t2425 @t297) @t594)) (not (=> (= @t181 @t297) (not (= @t274 @t594))))))) % 54.75/54.96 (assume @p1782 (forall @t464 (= (= @t2402 @t2427) @t463))) % 54.75/54.96 (assume @p1783 (forall (@list @t420 @t14 @t87) (= @t1153 (forall @t2395 (tptp.hBOOL (tptp.hAPP @t87 @t2428)))))) % 54.75/54.96 (assume @p1784 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint @t726))) % 54.75/54.96 (assume @p1785 (forall (@list @t51 @t579 @t420 @t14 @t1435 @t1601) (=> (= @t1601 @t1435) (= (tptp.hAPP @t2430 @t1601) (tptp.hAPP @t2430 @t1435))))) % 54.75/54.96 (assume @p1786 (forall @t2435 (= (tptp.hAPP @t2434 @t2432) @t56))) % 54.75/54.96 (assume @p1787 (forall @t581 (= (tptp.hAPP (tptp.hAPP @t2433 @t49) @t2432) @t578))) % 54.75/54.96 (assume @p1788 (forall @t2436 (=> @t2404 @t2405))) % 54.75/54.96 (assume @p1789 (forall @t2440 (= (tptp.hAPP @t2429 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 @t2438 @t14) (tptp.hAPP (tptp.c_COMBB @t2437 @t579 @t420) @t2)) @t2400)) @t2))) % 54.75/54.96 (assume @p1790 (forall (@list @t1601 @t1 @t2441 @t2443 @t2 @t14 @t579 @t420) (= (tptp.hAPP @t2434 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2443 @t2441 @t2442) @t1) @t1601)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2443 @t2441 @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2441 @t2442) (tptp.tc_fun @t2441 @t14) @t2443) (tptp.hAPP (tptp.c_COMBB @t2442 @t14 @t2441) @t2434)) @t1)) @t1601)))) % 54.75/54.96 (assume @p1791 (forall @t1303 (= @t2446 (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t1333 @t2445) @t2444)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2445 @t2444))))) % 54.75/54.96 (assume @p1792 (forall @t1331 (and (=> @t2447 (= @t2446 (tptp.hAPP @t2280 @t2445))) (=> (not @t2447) (= @t2446 (tptp.c_Divides_OposDivAlg @t2445 @t2444)))))) % 54.75/54.96 (assume @p1793 (forall @t1527 (and @t2419 (=> @t2330 (and @t2418 (=> @t2417 (= @t2415 (tptp.hAPP @t2414 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2225 (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t349)) @t2413)) @t2411) @t2412))))))))) % 54.75/54.96 (assume @p1794 (forall @t476 (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral @t76 @t306) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) @t2449) @t2448)))) % 54.75/54.96 (assume @p1795 (forall @t2337 (=> @t2451 (=> @t1444 (=> @t1252 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t181 @t1254) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t1333 @t1190) @t26)) @t1251)))))))) % 54.75/54.96 (assume @p1796 (forall @t1001 (=> @t2455 (= @t2454 (tptp.hAPP @t2453 @t2452))))) % 54.75/54.96 (assume @p1797 (forall @t1412 (= @t2460 (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint @t2377 @t2377) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2458 @t2459 tptp.tc_Int_Oint) @t2239) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2377 @t2458 tptp.tc_Int_Oint) @t2241) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2260 @t2377 tptp.tc_Int_Oint) (tptp.hAPP @t2309 @t2457)) (tptp.hAPP @t2306 (tptp.hAPP @t723 @t52)))))) (tptp.hAPP (tptp.hAPP @t2239 (tptp.hAPP @t2241 (tptp.hAPP (tptp.hAPP @t2235 (tptp.hAPP tptp.c_fimplies @t1383)) (tptp.hAPP @t2456 (tptp.hAPP (tptp.hAPP @t2324 @t632) @t52))))) (tptp.hAPP (tptp.hAPP @t2235 (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot @t1383))) (tptp.hAPP (tptp.hAPP @t2239 (tptp.hAPP @t2241 @t1386)) (tptp.hAPP (tptp.hAPP @t2324 @t948) @t624))))))))) % 54.75/54.96 (assume @p1798 (forall @t2397 (=> (tptp.hBOOL (tptp.hAPP @t2376 @t2396)) (=> (forall @t2395 (=> (tptp.hBOOL (tptp.hAPP @t2376 @t2394)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t2389) @t624)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 (tptp.hAPP @t726 @t446)) (tptp.hAPP @t726 @t2389)))) @t2391))) @t2388)))) % 54.75/54.96 (assume @p1799 (forall (@list @t51 @t52 @t54 @t2461 @t579 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2463 @t2461) @t2402) @t51)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2461 @t54) @t52) @t51))))) % 54.75/54.96 (assume @p1800 (forall (@list @t181 @t367 @t288 @t289 @t14) (=> (= (tptp.hAPP @t2465 (tptp.hAPP (tptp.hAPP @t2464 @t288) @t367)) @t181) (= @t367 @t181)))) % 54.75/54.96 (assume @p1801 (forall (@list @t274 @t181 @t289 @t14) (= (tptp.hAPP @t2465 (tptp.hAPP (tptp.hAPP @t2464 @t181) @t274)) @t274))) % 54.75/54.96 (assume @p1802 (forall @t616 (= (tptp.hAPP @t2468 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t579 @t14 @t420 @t2) @t16)) (tptp.hAPP @t2 @t2467)))) % 54.75/54.96 (assume @p1803 (forall (@list @t1 @t16 @t2 @t14 @t420 @t579) (= (= @t2470 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t579 @t420 @t14 @t1) @t16)) (= (tptp.hAPP @t2 @t2469) (tptp.hAPP @t1 @t2469))))) % 54.75/54.96 (assume @p1804 (forall (@list @t1601 @t14 @t420) (= @t2471 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t14 @t14) (tptp.hAPP (tptp.c_COMBK @t2256 @t420) @t2207)) @t1601)))) % 54.75/54.96 (assume @p1805 (forall @t1283 (= @t1284 (tptp.hAPP @t2453 @t2382)))) % 54.75/54.96 (assume @p1806 (forall @t1272 (=> @t1444 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t624 @t274) @t2316))))) % 54.75/54.96 (assume @p1807 (forall @t2473 (=> @t2472 (=> @t1390 (= @t914 @t624))))) % 54.75/54.96 (assume @p1808 (forall @t2475 (=> @t2451 (=> @t2474 (=> @t1444 (= @t1190 @t1199)))))) % 54.75/54.96 (assume @p1809 (forall @t2475 (=> @t2451 (=> @t2474 (=> @t1444 (= @t914 @t1204)))))) % 54.75/54.96 (assume @p1810 (forall (@list @t2354 @t274 @t181) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1279 @t1281) @t2354)) (tptp.hBOOL (tptp.hAPP @t2450 (tptp.hAPP tptp.c_Divides_OnegateSnd @t2354)))))) % 54.75/54.96 (assume @p1811 (forall @t1293 (=> @t1444 (tptp.hBOOL (tptp.hAPP @t2450 @t2382))))) % 54.75/54.96 (assume @p1812 (forall @t2473 (=> @t2472 (=> @t1390 (= @t1190 @t734))))) % 54.75/54.96 (assume @p1813 (forall @t2476 (=> @t2451 (=> @t1444 (= @t1284 @t914))))) % 54.75/54.96 (assume @p1814 (forall @t2476 (=> @t2451 (=> @t1444 (= @t1338 @t1190))))) % 54.75/54.96 (assume @p1815 (forall @t1283 (=> @t1388 (=> @t1295 (tptp.hBOOL (tptp.hAPP @t2450 @t2263)))))) % 54.75/54.96 (assume @p1816 (forall @t1283 (=> @t1388 (=> @t1295 (= @t1284 (tptp.hAPP @t2453 @t2263)))))) % 54.75/54.96 (assume @p1817 (forall @t1293 (=> @t1444 (tptp.hBOOL (tptp.hAPP @t2450 (tptp.hAPP (tptp.hAPP @t2179 @t1338) @t1284)))))) % 54.75/54.96 (assume @p1818 (forall @t1283 (=> @t1311 (=> @t1295 (tptp.hBOOL (tptp.hAPP @t2450 @t2300)))))) % 54.75/54.96 (assume @p1819 (forall @t1283 (=> @t1195 (=> @t2385 (= @t1284 (tptp.hAPP @t2453 @t2300)))))) % 54.75/54.96 (assume @p1820 (forall @t1001 (=> @t1950 (= @t2454 (tptp.hAPP @t2453 @t2298))))) % 54.75/54.96 (assume @p1821 (forall @t2372 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t181 @t26) (tptp.hAPP (tptp.hAPP @t2179 @t2371) @t2368))) (=> (tptp.hBOOL (tptp.hAPP @t2479 (tptp.hAPP (tptp.hAPP @t2179 @t2370) @t2367))) (=> @t2478 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1318 @t26) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP (tptp.hAPP @t630 @t2371) @t2370)) (tptp.hAPP (tptp.hAPP @t1333 @t2477) @t26))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2477 @t26))))))))) % 54.75/54.96 (assume @p1822 (forall (@list @t2020 @t1435 @t52 @t54) (=> (tptp.hBOOL (tptp.hAPP @t2460 @t2230)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t2282 @t52) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t2480 @t2481) (tptp.hAPP (tptp.hAPP @t1440 @t2481) @t734))) (tptp.hAPP (tptp.hAPP @t2480 @t624) (tptp.hAPP (tptp.hAPP @t1440 @t52) @t2020)))))))) % 54.75/54.96 (assume @p1823 (forall @t1283 (=> @t1195 (=> @t1292 (= @t1284 (tptp.hAPP @t2453 @t2384)))))) % 54.75/54.96 (assume @p1824 (forall @t523 (and (=> @t2484 (= @t2483 (tptp.hAPP @t2193 @t347))) (=> (not @t2484) (= @t2483 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2409) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2482 tptp.tc_Nat_Onat) @t2190) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat @t1530 @t102))))))) % 54.75/54.96 (assume @p1825 (forall @t2476 (=> (= @t181 @t1210) (=> (and (=> @t1295 (and @t1198 @t1206)) (=> @t2383 (and @t1215 @t1216))) @t2451)))) % 54.75/54.96 (assume @p1826 (forall @t1283 (=> @t1388 (=> @t2265 (= @t1284 (tptp.hAPP @t2453 @t2381)))))) % 54.75/54.96 (assume @p1827 (forall @t2340 (=> (tptp.hBOOL (tptp.hAPP @t2479 @t2399)) (=> @t2478 (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel @t1276 @t26) (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP (tptp.hAPP @t630 @t1193) (tptp.hAPP (tptp.hAPP @t1333 @t2485) @t26))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2485 @t26)))))))) % 54.75/54.96 (assume @p1828 (forall @t2491 (=> @t2490 (=> @t2488 @t2486)))) % 54.75/54.96 (assume @p1829 (forall @t1001 (=> @t2455 (= @t2493 (tptp.hAPP @t2492 @t2452))))) % 54.75/54.96 (assume @p1830 (forall @t2397 (=> (tptp.hBOOL (tptp.hAPP @t2410 (tptp.hAPP (tptp.hAPP @t2190 @t2386) @t94))) (=> (forall @t2496 (=> (tptp.hBOOL (tptp.hAPP @t2410 @t2495)) (=> (=> (not (= @t257 @t19)) (tptp.hBOOL (tptp.hAPP @t2494 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t4 @t257)))) (tptp.hBOOL (tptp.hAPP @t1142 @t257))))) @t2388)))) % 54.75/54.96 (assume @p1831 (forall @t1283 (=> @t1388 (=> @t2265 (= @t1338 (tptp.hAPP @t2492 @t2381)))))) % 54.75/54.96 (assume @p1832 (forall @t2246 (= (tptp.hAPP @t2502 @t1818) (tptp.hAPP @t2501 (tptp.hAPP @t2185 (tptp.hAPP @t2500 (tptp.hAPP (tptp.hAPP @t2499 @t2498) tptp.c_Int_Onat))))))) % 54.75/54.96 (assume @p1833 (forall @t372 (= (tptp.hAPP (tptp.hAPP @t2497 @t307) @t254) (tptp.hAPP tptp.c_Nat_OSuc @t2503)))) % 54.75/54.96 (assume @p1834 (forall @t2509 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2508) @t57)) (or @t2505 @t2504))))) % 54.75/54.96 (assume @p1835 (forall @t2516 (=> @t664 (=> @t2515 @t2511)))) % 54.75/54.96 (assume @p1836 (forall @t1666 (=> @t664 (=> @t1022 (=> @t2518 (tptp.hBOOL (tptp.hAPP @t2517 (tptp.hAPP (tptp.hAPP @t2512 @t26) @t427)))))))) % 54.75/54.96 (assume @p1837 (forall @t673 (=> @t664 (=> @t1004 (=> @t1015 (tptp.hBOOL (tptp.hAPP @t962 @t2520))))))) % 54.75/54.96 (assume @p1838 (forall @t2516 (=> @t664 (=> @t1185 (=> @t2510 @t2515))))) % 54.75/54.96 (assume @p1839 (forall @t1014 (=> @t664 (=> @t1003 (= @t2522 @t367))))) % 54.75/54.96 (assume @p1840 (forall @t605 (=> @t664 (=> @t1004 (= @t2522 @t288))))) % 54.75/54.96 (assume @p1841 (forall @t2525 (=> @t664 (=> @t2524 @t2523)))) % 54.75/54.96 (assume @p1842 (forall @t2527 (=> @t664 (=> @t2526 @t2523)))) % 54.75/54.96 (assume @p1843 (forall @t2509 (=> @t704 (= (tptp.hBOOL (tptp.hAPP @t1026 (tptp.hAPP (tptp.hAPP @t2506 @t659) @t57))) @t2528)))) % 54.75/54.96 (assume @p1844 (forall @t705 (=> @t704 (= @t1027 (= @t2508 @t16))))) % 54.75/54.96 (assume @p1845 (forall @t605 (=> @t664 (tptp.hBOOL (tptp.hAPP @t2529 @t367))))) % 54.75/54.96 (assume @p1846 (forall @t605 (=> @t664 (tptp.hBOOL (tptp.hAPP @t2529 @t288))))) % 54.75/54.96 (assume @p1847 (forall @t77 (= (tptp.hAPP @t2530 @t19) @t19))) % 54.75/54.96 (assume @p1848 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t2497 @t19) @t76) @t19))) % 54.75/54.96 (assume @p1849 (forall @t673 (=> @t499 (= (tptp.hAPP (tptp.hAPP @t319 @t2522) @t365) (tptp.hAPP (tptp.hAPP @t2512 @t2531) @t869))))) % 54.75/54.96 (assume @p1850 (forall @t304 (=> @t664 (= (tptp.hAPP @t2513 @t181) @t181)))) % 54.75/54.96 (assume @p1851 (forall @t552 (=> @t664 (= @t2514 (tptp.hAPP @t2532 @t181))))) % 54.75/54.96 (assume @p1852 (forall @t605 (=> @t664 (= @t2522 @t2533)))) % 54.75/54.96 (assume @p1853 (forall @t552 (=> @t664 (= (tptp.hAPP @t2513 @t2514) @t2514)))) % 54.75/54.96 (assume @p1854 (forall @t605 (=> @t664 (= (tptp.hAPP @t2521 @t2522) @t2522)))) % 54.75/54.96 (assume @p1855 (forall @t346 (=> @t664 (= (tptp.hAPP @t2532 (tptp.hAPP @t2513 @t26)) @t2534)))) % 54.75/54.96 (assume @p1856 (forall @t673 (=> @t664 (= @t2536 (tptp.hAPP @t2519 @t2535))))) % 54.75/54.96 (assume @p1857 (forall @t327 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2512 @t2514) @t26) @t2534)))) % 54.75/54.96 (assume @p1858 (forall @t673 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2512 @t2522) @t365) @t2536)))) % 54.75/54.96 (assume @p1859 (forall @t2525 (=> @t664 (=> @t2538 @t2537)))) % 54.75/54.96 (assume @p1860 (forall @t2527 (=> @t664 (=> @t2539 @t2537)))) % 54.75/54.96 (assume @p1861 (forall @t2543 (=> @t704 (= (tptp.hBOOL (tptp.hAPP @t2540 @t2508)) (and @t2542 @t2541))))) % 54.75/54.96 (assume @p1862 (forall @t2509 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2508) @t57)) (or @t2545 @t2544))))) % 54.75/54.96 (assume @p1863 (forall @t673 (=> @t1064 (= (tptp.hAPP (tptp.hAPP @t1466 @t2522) @t365) (tptp.hAPP (tptp.hAPP @t2512 @t2547) @t2546))))) % 54.75/54.96 (assume @p1864 (forall (@list @t76 @t510 @t306) (= (tptp.hAPP (tptp.hAPP @t2497 (tptp.hAPP @t1446 @t510)) @t1496) (tptp.hAPP (tptp.hAPP @t1445 @t2503) @t510)))) % 54.75/54.96 (assume @p1865 (forall @t576 (= (tptp.hAPP @t2548 @t2426) @t181))) % 54.75/54.96 (assume @p1866 (forall (@list @t181 @t367 @t288 @t14 @t289) (=> (= (tptp.hAPP @t2548 @t2549) @t181) (= @t288 @t181)))) % 54.75/54.96 (assume @p1867 (forall (@list @t420 @t14 @t104 @t98) (= @t2552 (and (= (tptp.hAPP @t2551 @t98) (tptp.hAPP @t2551 @t104)) (= (tptp.hAPP @t2550 @t98) (tptp.hAPP @t2550 @t104)))))) % 54.75/54.96 (assume @p1868 (forall (@list @t1190 @t1645 @t14 @t289) (=> (= @t2555 (tptp.hAPP @t2548 @t1190)) (=> (= @t2554 (tptp.hAPP @t2553 @t1190)) (= @t1645 @t1190))))) % 54.75/54.96 (assume @p1869 (forall @t2556 (= (tptp.hAPP @t2551 @t2470) (tptp.hAPP (tptp.c_Product__Type_Ofst @t14 @t579) @t16)))) % 54.75/54.96 (assume @p1870 (forall (@list @t1601 @t420 @t14) (= @t2558 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t14) @t2557) @t1601)))) % 54.75/54.96 (assume @p1871 (forall @t2565 (=> @t2564 (and (=> @t2561 (= @t2560 @t2559)) (=> @t2562 (= @t2560 @t1675)))))) % 54.75/54.96 (assume @p1872 (forall (@list @t1645 @t14 @t289) (= (tptp.hAPP (tptp.hAPP @t2425 @t2555) @t2554) @t1645))) % 54.75/54.96 (assume @p1873 (forall (@list @t14 @t289 @t81) (= @t81 (tptp.hAPP (tptp.hAPP @t2425 (tptp.hAPP @t2548 @t81)) (tptp.hAPP @t2553 @t81))))) % 54.75/54.96 (assume @p1874 (forall (@list @t1601 @t2 @t14 @t579 @t420) (= (tptp.hAPP @t2434 @t1601) (tptp.hAPP (tptp.hAPP @t2 @t2568) @t2566)))) % 54.75/54.96 (assume @p1875 (forall @t1283 (= @t1338 (tptp.hAPP @t2492 @t2382)))) % 54.75/54.96 (assume @p1876 (forall @t372 (= @t1360 (tptp.hAPP @t2569 @t2191)))) % 54.75/54.96 (assume @p1877 (forall (@list @t1 @t2 @t2443 @t579 @t420 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t2437 @t420 @t579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2443 @t2438 @t2437) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2443 @t2437) @t1) @t2551))) @t2550) (tptp.hAPP @t2429 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2443 @t2438 @t14) @t2) @t1))))) % 54.75/54.96 (assume @p1878 (forall (@list @t57 @t87 @t14 @t579 @t420) (= (tptp.hAPP (tptp.hAPP @t2433 @t87) @t57) (tptp.hAPP (tptp.hAPP @t87 (tptp.hAPP @t2567 @t57)) (tptp.hAPP @t2466 @t57))))) % 54.75/54.96 (assume @p1879 (forall (@list @t1601 @t51 @t14 @t579 @t420) (= (tptp.hAPP (tptp.hAPP @t2433 @t51) @t1601) (tptp.hAPP (tptp.hAPP @t51 @t2568) @t2566)))) % 54.75/54.96 (assume @p1880 (forall @t2491 (tptp.hBOOL (tptp.hAPP @t2573 @t1314)))) % 54.75/54.96 (assume @p1881 (forall (@list @t1467 @t2574 @t2575 @t1314 @t14) (=> @t2577 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2574) @t1467)) (tptp.hBOOL (tptp.hAPP @t2573 (tptp.hAPP @t2576 @t2574))))))) % 54.75/54.96 (assume @p1882 (forall @t2580 (=> @t2490 (=> @t2579 (= (tptp.hAPP @t2578 (tptp.hAPP @t2576 @t1314)) @t1314))))) % 54.75/54.96 (assume @p1883 (forall @t2491 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2583) @t2582)) @t2488))) % 54.75/54.96 (assume @p1884 (forall @t2491 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2582) @t2583))))) % 54.75/54.96 (assume @p1885 (forall @t2584 (tptp.hBOOL (tptp.hAPP @t2489 @t1314)))) % 54.75/54.96 (assume @p1886 (forall @t2585 (= @t2486 (and @t2490 @t2488)))) % 54.75/54.96 (assume @p1887 (forall @t2585 (=> @t2486 @t2490))) % 54.75/54.96 (assume @p1888 (forall @t2585 (=> @t2486 @t2488))) % 54.75/54.96 (assume @p1889 (forall @t2580 (=> @t2490 (=> @t2579 @t2577)))) % 54.75/54.96 (assume @p1890 (forall @t2585 (=> @t2486 (not (=> @t2490 (not @t2488)))))) % 54.75/54.96 (assume @p1891 (forall @t2491 (= @t2588 (and @t2490 (not @t2486))))) % 54.75/54.96 (assume @p1892 (forall @t2491 (= @t2490 (or @t2588 @t2486)))) % 54.75/54.96 (assume @p1893 (forall @t2491 (=> @t2588 @t2490))) % 54.75/54.96 (assume @p1894 (forall @t2580 (=> @t2588 (=> @t2579 @t2589)))) % 54.75/54.96 (assume @p1895 (forall @t2580 (=> @t2490 @t2590))) % 54.75/54.96 (assume @p1896 (forall @t379 (= (tptp.hAPP (tptp.hAPP @t2497 @t347) @t436) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t19 (tptp.hAPP @t2248 (tptp.hAPP (tptp.hAPP @t2591 @t2497) @t102)) @t347)))) % 54.75/54.96 (assume @p1897 (forall @t523 (= (tptp.hAPP @t2502 @t347) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t19 (tptp.hAPP @t2248 @t2498) @t347)))) % 54.75/54.96 (assume @p1898 (forall @t1283 (=> @t1388 (=> @t1295 (= @t1338 (tptp.hAPP @t2492 @t2263)))))) % 54.75/54.96 (assume @p1899 (forall @t1283 (=> @t1195 (=> @t2385 (= @t1338 (tptp.hAPP @t2492 @t2300)))))) % 54.75/54.96 (assume @p1900 (forall @t1001 (=> @t1950 (= @t2493 (tptp.hAPP @t2492 @t2298))))) % 54.75/54.96 (assume @p1901 (forall @t1283 (=> @t1195 (=> @t1292 (= @t1338 (tptp.hAPP @t2492 @t2384)))))) % 54.75/54.96 (assume @p1902 (forall @t2245 (= (tptp.hAPP (tptp.hAPP @t2497 @t1818) @t436) (tptp.hAPP @t2501 (tptp.hAPP @t2185 (tptp.hAPP @t2500 (tptp.hAPP (tptp.hAPP @t2285 (tptp.hAPP (tptp.hAPP @t2284 @t2497) tptp.c_Int_Onat)) @t102))))))) % 54.75/54.96 (assume @p1903 (forall (@list @t1601 @t1 @t2 @t420 @t14) (= (tptp.c_Product__Type_Oprod_Oprod__size @t14 @t420 @t2 @t1 @t1601) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t2 @t2558)) (tptp.hAPP @t1 @t2592))) @t315)))) % 54.75/54.96 (assume @p1904 (forall (@list @t14 @t420 @t16 @t659 @t87) (=> (tptp.hBOOL (tptp.hAPP @t2597 @t16)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 (tptp.hAPP @t2468 @t2595)) (tptp.hAPP @t2596 @t2595)))))) % 54.75/54.96 (assume @p1905 (forall (@list @t420 @t14 @t1435 @t2599 @t1601 @t87) (=> (tptp.hBOOL (tptp.hAPP @t87 @t1601)) (=> (tptp.hBOOL (tptp.hAPP @t2599 @t1435)) (and (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t2551 @t2598))) (tptp.hBOOL (tptp.hAPP @t2599 (tptp.hAPP @t2550 @t2598)))))))) % 54.75/54.96 (assume @p1906 (forall @t1799 (=> @t2563 (= @t2506 (tptp.c_Orderings_Oord_Omin @t14 @t1025))))) % 54.75/54.96 (assume @p1907 (forall @t581 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t420 @t579 @t14 @t49 @t2432) @t578))) % 54.75/54.96 (assume @p1908 (forall @t2584 (= (tptp.hAPP @t2581 @t2583) @t1314))) % 54.75/54.96 (assume @p1909 (forall @t2491 (= (= @t2583 @t2582) @t2486))) % 54.75/54.96 (assume @p1910 (forall @t2491 (= (tptp.hAPP @t2600 @t1467) @t2572))) % 54.75/54.96 (assume @p1911 (forall @t2580 (=> @t2588 @t2590))) % 54.75/54.96 (assume @p1912 (forall @t372 (= @t1358 (tptp.hAPP @t2601 @t2191)))) % 54.75/54.96 (assume @p1913 (forall (@list @t2602 @t102 @t347) (= (tptp.hBOOL (tptp.hAPP @t2605 @t2602)) (and (= @t347 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP (tptp.hAPP @t818 @t2604) @t102)) @t2603)) (=> @t376 (= @t2604 @t19)) (=> @t503 (and (=> @t502 (and (tptp.hBOOL (tptp.hAPP @t964 @t2603)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t2603) @t102)))) (=> (not @t502) (and (tptp.hBOOL (tptp.hAPP @t465 @t2603)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t2603) @t19)))))))))) % 54.75/54.96 (assume @p1914 (forall (@list @t24 @t359) (=> (tptp.hBOOL (tptp.hAPP @t2607 @t359)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2153 (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral @t2606) (tptp.hAPP (tptp.c_Random_Orange @t359) @t24))) @t359))))) % 54.75/54.96 (assume @p1915 (forall (@list @t434 @t2608) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq @t2608) @t434) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP @t2608 (tptp.hAPP (tptp.hAPP @t2205 (tptp.hAPP @t2010 @t1887)) @t434)))))) % 54.75/54.96 (assume @p1916 (forall @t2245 (= (tptp.hAPP (tptp.hAPP @t2609 @t1818) @t436) (tptp.hAPP @t2501 (tptp.hAPP @t2610 (tptp.hAPP @t2500 (tptp.hAPP (tptp.hAPP @t2285 (tptp.hAPP (tptp.hAPP @t2284 @t2609) tptp.c_Int_Onat)) @t102))))))) % 54.75/54.96 (assume @p1917 (forall @t2246 (= (tptp.hAPP @t2612 @t1818) (tptp.hAPP @t2501 (tptp.hAPP @t2610 (tptp.hAPP @t2500 (tptp.hAPP (tptp.hAPP @t2499 @t2611) tptp.c_Int_Onat))))))) % 54.75/54.96 (assume @p1918 (forall @t2618 (= (tptp.hAPP @t2617 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2443 @t420 @t579 @t1) @t16)) (tptp.hAPP (tptp.hAPP @t2400 @t2616) @t2614)))) % 54.75/54.96 (assume @p1919 (forall @t605 (=> @t664 (= (tptp.hAPP @t2620 @t2522) @t288)))) % 54.75/54.96 (assume @p1920 (forall @t605 (=> @t664 (= (tptp.hAPP @t2521 @t2621) @t288)))) % 54.75/54.96 (assume @p1921 (forall @t673 (=> @t664 (= @t2624 @t2623)))) % 54.75/54.96 (assume @p1922 (forall @t673 (=> @t664 (= @t2628 @t2625)))) % 54.75/54.96 (assume @p1923 (forall @t2095 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2619 @t2520) @t288) (tptp.hAPP (tptp.hAPP @t2512 @t2629) (tptp.hAPP (tptp.hAPP @t2619 @t365) @t288)))))) % 54.75/54.96 (assume @p1924 (forall @t2095 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2512 @t2627) @t288) (tptp.hAPP (tptp.hAPP @t2619 @t2533) (tptp.hAPP (tptp.hAPP @t2512 @t365) @t288)))))) % 54.75/54.96 (assume @p1925 (forall @t2509 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t2632) @t57)) (and @t2545 @t2544))))) % 54.75/54.96 (assume @p1926 (forall @t2543 (=> @t704 (= (tptp.hBOOL (tptp.hAPP @t2540 @t2632)) (or @t2542 @t2541))))) % 54.75/54.96 (assume @p1927 (forall @t2516 (=> @t664 (=> @t960 @t2635)))) % 54.75/54.96 (assume @p1928 (forall @t2637 (=> @t664 (=> @t2636 @t2635)))) % 54.75/54.96 (assume @p1929 (forall @t673 (=> @t1064 (= (tptp.hAPP (tptp.hAPP @t1466 @t2621) @t365) (tptp.hAPP (tptp.hAPP @t2619 @t2547) @t2546))))) % 54.75/54.96 (assume @p1930 (forall @t2543 (=> @t704 (= (tptp.hBOOL (tptp.hAPP @t2638 @t2632)) (or (tptp.hBOOL (tptp.hAPP @t2638 @t16)) (tptp.hBOOL (tptp.hAPP @t2638 @t659))))))) % 54.75/54.96 (assume @p1931 (forall @t2642 (=> @t664 (=> @t2641 @t2639)))) % 54.75/54.96 (assume @p1932 (forall @t1666 (=> @t664 (=> @t1022 (=> @t2518 (tptp.hBOOL (tptp.hAPP @t2640 (tptp.hAPP (tptp.hAPP @t2619 @t26) @t427)))))))) % 54.75/54.96 (assume @p1933 (forall @t670 (=> @t664 (=> @t1003 (=> @t1012 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2627) @t288))))))) % 54.75/54.96 (assume @p1934 (forall @t2527 (=> @t664 (=> @t2526 (=> @t2524 @t2641))))) % 54.75/54.96 (assume @p1935 (forall @t1014 (=> @t664 (=> @t1003 (= @t2621 @t288))))) % 54.75/54.96 (assume @p1936 (forall @t605 (=> @t664 (=> @t1004 (= @t2621 @t367))))) % 54.75/54.96 (assume @p1937 (forall @t2637 (=> @t664 (=> @t2510 @t2643)))) % 54.75/54.96 (assume @p1938 (forall @t2516 (=> @t664 (=> @t1185 @t2643)))) % 54.75/54.96 (assume @p1939 (forall @t2509 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t2632) @t57)) @t2644)))) % 54.75/54.96 (assume @p1940 (forall @t705 (=> @t704 (= @t1027 (= @t2632 @t659))))) % 54.75/54.96 (assume @p1941 (forall @t1014 (=> @t664 (tptp.hBOOL (tptp.hAPP @t1002 @t2621))))) % 54.75/54.96 (assume @p1942 (forall @t605 (=> @t664 (tptp.hBOOL (tptp.hAPP @t962 @t2621))))) % 54.75/54.96 (assume @p1943 (forall @t77 (= (tptp.hAPP @t2645 @t19) @t76))) % 54.75/54.96 (assume @p1944 (forall @t77 (= (tptp.hAPP (tptp.hAPP @t2609 @t19) @t76) @t76))) % 54.75/54.96 (assume @p1945 (forall @t673 (=> @t499 (= (tptp.hAPP (tptp.hAPP @t319 @t2621) @t365) (tptp.hAPP (tptp.hAPP @t2619 @t2531) @t869))))) % 54.75/54.96 (assume @p1946 (forall @t304 (=> @t664 (= (tptp.hAPP @t2633 @t181) @t181)))) % 54.75/54.96 (assume @p1947 (forall @t552 (=> @t664 (= @t2634 (tptp.hAPP @t2646 @t181))))) % 54.75/54.96 (assume @p1948 (forall @t605 (=> @t664 (= @t2621 @t2629)))) % 54.75/54.96 (assume @p1949 (forall @t552 (=> @t664 (= (tptp.hAPP @t2633 @t2634) @t2634)))) % 54.75/54.96 (assume @p1950 (forall @t605 (=> @t664 (= (tptp.hAPP @t2620 @t2621) @t2621)))) % 54.75/54.96 (assume @p1951 (forall @t346 (=> @t664 (= (tptp.hAPP @t2646 (tptp.hAPP @t2633 @t26)) @t2647)))) % 54.75/54.96 (assume @p1952 (forall @t673 (=> @t664 (= @t2648 (tptp.hAPP @t2626 @t2622))))) % 54.75/54.96 (assume @p1953 (forall @t327 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2619 @t2634) @t26) @t2647)))) % 54.75/54.96 (assume @p1954 (forall @t673 (=> @t664 (= (tptp.hAPP (tptp.hAPP @t2619 @t2621) @t365) @t2648)))) % 54.75/54.96 (assume @p1955 (forall @t372 (= (tptp.hAPP (tptp.hAPP @t2609 @t307) @t254) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2609 @t306) @t76))))) % 54.75/54.96 (assume @p1956 (forall (@list @t659 @t16 @t2 @t420 @t14 @t579) (= (tptp.hAPP @t2617 (tptp.hAPP (tptp.hAPP @t2649 @t16) @t659)) (tptp.hAPP (tptp.hAPP @t2400 @t615) @t659)))) % 54.75/54.96 (assume @p1957 (forall @t2556 (= (tptp.hAPP @t2551 @t2652) @t2651))) % 54.75/54.96 (assume @p1958 (forall (@list @t1 @t16 @t2 @t420 @t14 @t579) (= (= @t2652 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t579 @t14 @t420 @t1) @t16)) (= @t2651 (tptp.hAPP @t1 @t2650))))) % 54.75/54.96 (assume @p1959 (forall @t616 (= (tptp.hAPP @t2468 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t579 @t420 @t14 @t2) @t16)) (tptp.hAPP (tptp.c_Product__Type_Osnd @t579 @t14) @t16)))) % 54.75/54.96 (assume @p1960 (forall @t2565 (=> @t2564 (and (=> @t2561 (= @t2653 @t1675)) (=> @t2562 (= @t2653 @t2559)))))) % 54.75/54.96 (assume @p1961 (forall @t673 (=> @t664 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2624) @t2623))))) % 54.75/54.96 (assume @p1962 (forall @t673 (=> @t664 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t2625) @t2628))))) % 54.75/54.96 (assume @p1963 (forall @t605 (=> @t2654 (= (tptp.hAPP @t748 @t2522) (tptp.hAPP (tptp.hAPP @t2619 @t775) @t1226))))) % 54.75/54.96 (assume @p1964 (forall @t605 (=> @t2654 (= (tptp.hAPP @t748 @t2621) (tptp.hAPP (tptp.hAPP @t2512 @t775) @t1226))))) % 54.75/54.96 (assume @p1965 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t316 @t1481) @t306) (tptp.hAPP @t2645 @t306)))) % 54.75/54.96 (assume @p1966 (forall (@list @t1601 @t1 @t2443 @t2 @t14 @t420 @t579) (= (tptp.hAPP @t2424 (tptp.hAPP @t2655 @t1601)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2443 @t14 @t420 @t1) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t579 @t420 @t2443 @t2) @t1601))))) % 54.75/54.96 (assume @p1967 (forall @t379 (= (tptp.hAPP (tptp.hAPP @t2609 @t347) @t436) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t436 (tptp.hAPP @t2248 (tptp.hAPP (tptp.hAPP @t2591 @t2609) @t102)) @t347)))) % 54.75/54.96 (assume @p1968 (forall @t523 (= (tptp.hAPP @t2612 @t347) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t436 (tptp.hAPP @t2248 @t2611) @t347)))) % 54.75/54.96 (assume @p1969 (forall @t2657 (= (tptp.hAPP @t2424 (tptp.hAPP @t2655 @t16)) (tptp.hAPP (tptp.hAPP @t2400 (tptp.hAPP @t1 (tptp.hAPP (tptp.c_Product__Type_Ofst @t2443 @t579) @t16))) (tptp.hAPP @t2 (tptp.hAPP @t2656 @t16)))))) % 54.75/54.96 (assume @p1970 (forall @t1799 (=> @t704 (= (tptp.c_Orderings_Oord_Omin @t14 @t2659) @t2630)))) % 54.75/54.96 (assume @p1971 (forall @t1799 (=> @t2563 (= @t2630 (tptp.c_Orderings_Oord_Omax @t14 @t1025))))) % 54.75/54.96 (assume @p1972 (forall @t677 (=> (not (= @t359 @t2192)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP (tptp.hAPP @t1445 @t2660) @t315)) @t2660))))) % 54.75/54.96 (assume @p1973 (forall @t305 (= (tptp.c_Nitpick_Ozero__frac @t289) (tptp.c_Nitpick_OAbs__Frac @t289 @t2281)))) % 54.75/54.96 (assume @p1974 (forall (@list @t2661 @t2662 @t2663 @t2461) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq @t2461 @t2663 @t2662 @t2661) (tptp.c_New__DSequence_Opos__not__seq @t2664)))) % 54.75/54.96 (assume @p1975 (forall @t663 (= (= @t2665 (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t659)) @t678))) % 54.75/54.96 (assume @p1976 (forall @t1527 (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t349) (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t1525)) @t1898))) % 54.75/54.96 (assume @p1977 (forall @t934 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t288)) @t288))) % 54.75/54.96 (assume @p1978 (forall @t677 (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t2660) @t359))) % 54.75/54.96 (assume @p1979 (forall @t77 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t2204) @t76))) % 54.75/54.96 (assume @p1980 (forall @t523 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2153 @t102) @t347)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t2667) @t2666))))) % 54.75/54.96 (assume @p1981 (forall @t677 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP @t2010 @t359)) (tptp.hAPP @t1604 @t359)))) % 54.75/54.96 (assume @p1982 (forall @t523 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2155 @t102) @t347)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t2667) @t2666))))) % 54.75/54.96 (assume @p1983 (forall @t946 (= @t2668 (tptp.c_Code__Numeral_Onat__of__aux @t510 @t19)))) % 54.75/54.96 (assume @p1984 (forall @t933 (= @t2147 (tptp.hAPP (tptp.hAPP @t316 @t2668) @t76)))) % 54.75/54.96 (assume @p1985 (forall @t291 (=> @t664 (= (tptp.hAPP @t2521 @t288) @t288)))) % 54.75/54.96 (assume @p1986 (forall @t291 (=> @t664 (= (tptp.hAPP @t2620 @t288) @t288)))) % 54.75/54.96 (assume @p1987 (forall @t1799 (=> @t704 (= (tptp.c_Orderings_Oord_Omax @t14 @t2659) @t2506)))) % 54.75/54.96 (assume @p1988 (forall @t677 (= (tptp.c_Code__Numeral_OSuc__code__numeral @t359) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc @t2660))))) % 54.75/54.96 (assume @p1989 (forall @t476 (= @t2166 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1445 @t2670) @t2669))))) % 54.75/54.96 (assume @p1990 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t2151 @t76) @t306) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t316 @t2670) @t2669))))) % 54.75/54.96 (assume @p1991 (forall @t476 (= @t2449 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t1343 @t2670) @t2669))))) % 54.75/54.96 (assume @p1992 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t2205 @t76) @t306) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP @t818 @t2670) @t2669))))) % 54.75/54.96 (assume @p1993 (forall @t476 (= @t2448 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t2670 @t2669))))) % 54.75/54.96 (assume @p1994 (forall @t305 (= (tptp.c_Nitpick_Oone__frac @t289) (tptp.c_Nitpick_OAbs__Frac @t289 (tptp.hAPP (tptp.hAPP @t2179 @t734) @t734))))) % 54.75/54.96 (assume @p1995 (forall @t921 (= (tptp.c_Nitpick_Onumber__of__frac @t289 @t76) (tptp.c_Nitpick_OAbs__Frac @t289 (tptp.hAPP (tptp.hAPP @t2179 @t76) @t734))))) % 54.75/54.96 (assume @p1996 (forall @t552 (= (tptp.hAPP (tptp.hAPP @t2671 @t181) @t274) (tptp.c_Nitpick_OAbs__Frac @t289 (tptp.c_Nitpick_Onorm__frac @t181 @t274))))) % 54.75/54.96 (assume @p1997 (forall @t2673 (= (tptp.c_Sum__Type_Osum_Osum__case @t14 @t579 @t420 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2672 @t579 @t14) @t2) @t444) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2672 @t579 @t420) @t2) @t442)) @t2))) % 54.75/54.96 (assume @p1998 (forall @t2679 (and (=> @t2677 (= @t2676 @t2594)) (=> @t2678 (= @t2676 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t420 @t14 @t2675) @t615) (tptp.c_Random_Oiterate @t420 @t14 @t2674 @t2))))))) % 54.75/54.96 (assume @p1999 (forall (@list @t2680 @t1 @t2 @t2681 @t2441 @t420 @t2443 @t579 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t579 @t2443 @t420) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t2441 @t2681 @t2685) @t2) @t1)) @t2680) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t2441 @t2681 @t420) @t2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2441 @t2684 @t2682) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t2681 @t2685) (tptp.tc_fun @t2684 @t2682) @t2441) (tptp.c_Product__Type_Oscomp @t2681 @t579 @t2443 @t420)) @t1)) @t2680))))) % 54.75/54.96 (assume @p2000 (forall (@list @t16 @t54 @t579 @t14 @t420) (= (tptp.hAPP (tptp.c_Sum__Type_Osum_Osum__case @t420 @t14 @t579 (tptp.hAPP @t2557 @t54) (tptp.hAPP (tptp.c_COMBK @t14 @t579) @t54)) @t16) @t54))) % 54.75/54.96 (assume @p2001 (forall (@list @t1 @t2 @t420 @t579 @t14 @t104 @t98) (=> @t2552 (= (tptp.hAPP @t2686 @t98) (tptp.hAPP @t2686 @t104))))) % 54.75/54.96 (assume @p2002 (forall (@list @t2687 @t2688 @t48 @t49 @t420 @t579 @t14) (=> (= (tptp.c_Sum__Type_Osum_Osum__case @t14 @t579 @t420 @t49 @t48) (tptp.c_Sum__Type_Osum_Osum__case @t14 @t579 @t420 @t2688 @t2687)) (not (=> (= @t49 @t2688) (not (= @t48 @t2687))))))) % 54.75/54.96 (assume @p2003 (forall (@list @t16 @t579 @t420 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t420 @t579 @t2442) @t16) @t2431) @t16))) % 54.75/54.96 (assume @p2004 (forall (@list @t2 @t16 @t420 @t579 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t14 @t579 @t14 @t420) (tptp.hAPP (tptp.c_Product__Type_OPair @t579 @t14) @t16)) @t2) @t615))) % 54.75/54.96 (assume @p2005 (forall @t2690 (= @t2689 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t579 @t2443 @t14) @t1) @t615)))) % 54.75/54.96 (assume @p2006 (forall @t614 (= (tptp.hAPP @t2691 @t613) @t612))) % 54.75/54.96 (assume @p2007 (forall @t611 (= (tptp.hAPP @t2691 @t610) @t577))) % 54.75/54.96 (assume @p2008 (forall @t2690 (= @t2689 (tptp.hAPP (tptp.hAPP @t1 (tptp.hAPP @t2615 @t615)) (tptp.hAPP @t2613 @t615))))) % 54.75/54.96 (assume @p2009 (forall @t2698 (= (tptp.c_Nitpick_Oplus__frac @t14 @t1435 @t2020) (tptp.hAPP (tptp.hAPP @t2294 (tptp.c_Nitpick_Oint__lcm @t2697 @t2693)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint @t2327 tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac @t14)) (tptp.hAPP (tptp.hAPP @t2214 (tptp.hAPP @t2306 (tptp.hAPP (tptp.hAPP @t2696 (tptp.hAPP @t723 (tptp.hAPP @t2695 @t1435))) (tptp.hAPP @t2694 @t2697)))) (tptp.hAPP (tptp.hAPP @t2696 (tptp.hAPP @t723 (tptp.hAPP @t2695 @t2020))) (tptp.hAPP @t2694 @t2693))))) @t2213))))) % 54.75/54.96 (assume @p2010 (forall (@list @t579 @t420 @t14) (= (tptp.c_Product__Type_Ointernal__split @t14 @t420 @t579) @t2429))) % 54.75/54.96 (assume @p2011 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint @t625 (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue))) % 54.75/54.96 (assume @p2012 (forall @t2705 (and (=> @t2703 (= @t2702 (tptp.c_Lazy__Sequence_Oempty @t14))) (=> @t2704 (= @t2702 (tptp.c_Lazy__Sequence_Obind @t420 @t14 @t2701 @t2700)))))) % 54.75/54.96 (assume @p2013 (forall @t2705 (and (=> @t2703 (= @t2709 (tptp.c_Lazy__Sequence_Ohit__bound @t14))) (=> @t2704 (= @t2709 (tptp.c_Lazy__Sequence_Ohb__bind @t420 @t14 @t2701 @t2708)))))) % 54.75/54.96 (assume @p2014 (forall (@list @t52 @t54 @t51 @t14 @t579 @t420) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split @t420 @t579 @t14) @t51) @t2432) @t2710))) % 54.75/54.96 (assume @p2015 (forall (@list @t914 @t1190 @t289) (= (tptp.c_Nitpick_Otimes__frac @t289 @t1190 @t914) (tptp.hAPP (tptp.hAPP @t2671 (tptp.hAPP (tptp.hAPP @t723 @t2714) (tptp.hAPP @t2713 @t914))) (tptp.hAPP (tptp.hAPP @t723 @t2712) (tptp.hAPP @t2711 @t914)))))) % 54.75/54.96 (assume @p2016 (forall (@list @t1190 @t289 @t14) (=> (and (tptp.class_Rings_Oinverse @t14) @t2331) (= (tptp.c_Nitpick_Oof__frac @t289 @t14 @t1190) (tptp.hAPP (tptp.hAPP @t2021 (tptp.hAPP @t718 @t2714)) (tptp.hAPP @t718 @t2712)))))) % 54.75/54.96 (assume @p2017 (forall @t2715 (= (tptp.c_Nitpick_Oinverse__frac @t289 @t1190) (tptp.hAPP (tptp.hAPP @t2671 @t2712) @t2714)))) % 54.75/54.96 (assume @p2018 (forall @t2715 (= (tptp.c_Nitpick_Ouminus__frac @t289 @t1190) (tptp.c_Nitpick_OAbs__Frac @t289 (tptp.hAPP (tptp.hAPP @t2179 (tptp.hAPP @t726 @t2714)) @t2712))))) % 54.75/54.96 (assume @p2019 (forall @t2720 (= (tptp.c_New__Random__Sequence_Oneg__decr__bind @t420 @t14 @t2461 @t2 @t2663 @t2662 @t2661) (tptp.c_New__DSequence_Oneg__decr__bind @t420 @t14 @t2664 @t2719)))) % 54.75/54.96 (assume @p2020 (forall @t2698 (= (tptp.c_Nitpick_Oless__frac @t14 @t1435 @t2020) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t2721) @t624))))) % 54.75/54.96 (assume @p2021 (forall @t2698 (= (tptp.c_Nitpick_Oless__eq__frac @t14 @t1435 @t2020) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t2721) @t624))))) % 54.75/54.96 (assume @p2022 (forall @t2720 (= (tptp.c_New__Random__Sequence_Opos__decr__bind @t420 @t14 @t2461 @t2 @t2663 @t2662 @t2661) (tptp.c_New__DSequence_Opos__decr__bind @t420 @t14 @t2664 @t2725)))) % 54.75/54.96 (assume @p2023 (forall @t2727 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind @t420 @t14 @t16 @t2) @t434) (tptp.c_Lazy__Sequence_Ohb__bind @t420 @t14 @t2726 @t2708)))) % 54.75/54.96 (assume @p2024 (forall (@list @t2728 @t289) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty @t289) @t2728) (tptp.c_Lazy__Sequence_Oempty @t289)))) % 54.75/54.96 (assume @p2025 (forall (@list @t2661 @t2662 @t2663 @t14) (= (tptp.c_New__Random__Sequence_Opos__empty @t14 @t2663 @t2662 @t2661) (tptp.c_New__DSequence_Opos__empty @t14)))) % 54.75/54.96 (assume @p2026 (forall @t2720 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind @t420 @t14 @t2461 @t2) @t2663) @t2662) @t2661) (tptp.c_New__DSequence_Oneg__bind @t420 @t14 @t2664 @t2719)))) % 54.75/54.96 (assume @p2027 (forall @t2727 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind @t420 @t14 @t16 @t2) @t434) (tptp.c_Lazy__Sequence_Obind @t420 @t14 @t2726 @t2700)))) % 54.75/54.96 (assume @p2028 (forall (@list @t2599 @t420 @t14 @t659 @t16 @t87) (=> @t2736 (=> @t2734 @t2730)))) % 54.75/54.96 (assume @p2029 (forall (@list @t659 @t16 @t2599 @t87 @t420 @t14) (=> @t2734 (=> @t2736 @t2730)))) % 54.75/54.96 (assume @p2030 (forall (@list @t2599 @t14 @t16 @t87) (=> @t2739 (=> @t2738 @t2737)))) % 54.75/54.96 (assume @p2031 (forall (@list @t16 @t2599 @t87 @t14) (=> @t2738 (=> @t2739 @t2737)))) % 54.75/54.96 (assume @p2032 (forall @t2720 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind @t420 @t14 @t2461 @t2) @t2663) @t2662) @t2661) (tptp.c_New__DSequence_Opos__bind @t420 @t14 @t2664 @t2725)))) % 54.75/54.96 (assume @p2033 (forall @t2742 (= (tptp.c_HOL_OThe @t2437 @t2741) (tptp.c_HOL_OThe @t2437 @t2740)))) % 54.75/54.96 (assume @p2034 (forall (@list @t2662 @t1 @t14 @t2663) (and (=> @t2753 (= @t2752 @t2754)) (=> (not @t2753) (= @t2752 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2606 @t2745 @t2606 @t2749) (tptp.hAPP @t1 @t2662)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2751 @t2750 @t2745) (tptp.hAPP (tptp.c_Product__Type_Oscomp @t2606 @t2746 @t2606 @t2749) (tptp.c_Random__Sequence_ORandom @t14 @t1 (tptp.hAPP (tptp.hAPP @t2025 @t2663) @t2018) @t2662))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2747 @t2751 @t2745) (tptp.hAPP (tptp.c_COMBB @t2746 @t2750 @t2746) @t2748)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2746 @t2747 @t2745) (tptp.c_DSequence_Ounion @t14)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2746 @t2745) @t2744) (tptp.c_Product__Type_Ofst @t14 @t2743))))))))))) % 54.75/54.96 (assume @p2035 (forall (@list @t579 @t2 @t2599 @t1601 @t14 @t420 @t87) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t2471) (tptp.hAPP @t2596 @t1601))) (=> (forall @t2496 (=> (tptp.hBOOL (tptp.hAPP @t2494 @t4)) (tptp.hBOOL (tptp.hAPP @t2599 @t2755)))) (tptp.hBOOL (tptp.hAPP @t2599 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t14 @t579) @t2) @t1601))))))) % 54.75/54.96 (assume @p2036 (forall @t1303 (and (=> @t2159 (= @t2756 @t531)) (=> @t2160 (= @t2756 @t2015))))) % 54.75/54.96 (assume @p2037 (forall @t677 (= (tptp.c_Quickcheck_Obeyond @t359 @t2015) @t2015))) % 54.75/54.96 (assume @p2038 (forall @t2767 (= (tptp.c_HOL_OThe @t2437 @t2766) @t2757))) % 54.75/54.96 (assume @p2039 (forall @t2742 (= (tptp.c_HOL_OThe @t2437 @t87) (tptp.c_HOL_OThe @t2437 @t2768)))) % 54.75/54.96 (assume @p2040 (forall @t379 (= @t2483 (tptp.c_HOL_OThe @t2409 @t2605)))) % 54.75/54.96 (assume @p2041 (forall (@list @t2662 @t2663 @t14) (= (tptp.c_Random__Sequence_Oempty @t14 @t2663 @t2662) @t2754))) % 54.75/54.96 (assume @p2042 (forall (@list @t2662 @t2663 @t16 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2769 @t16) @t2663) @t2662) (tptp.hAPP @t2748 (tptp.hAPP @t2744 @t16))))) % 54.75/54.96 (assume @p2043 (forall @t18 (= (tptp.c_HOL_OThe @t14 @t2759) @t16))) % 54.75/54.96 (assume @p2044 (forall @t392 (= (tptp.c_HOL_OThe @t14 @t2771) @t54))) % 54.75/54.96 (assume @p2045 (forall (@list @t659 @t16 @t51 @t14 @t579 @t420) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t420 @t579 @t14 @t51) @t16) @t659) (tptp.hAPP @t51 @t2772)))) % 54.75/54.96 (assume @p2046 (forall (@list @t52 @t54 @t420 @t14 @t2) (=> @t2774 @t2773))) % 54.75/54.96 (assume @p2047 (forall @t2436 (=> @t2773 @t2774))) % 54.75/54.96 (assume @p2048 (forall @t2435 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t420 @t579 @t14 @t2) @t54) @t52) (tptp.hAPP @t2 @t2432)))) % 54.75/54.96 (assume @p2049 (forall @t2440 (= (tptp.hAPP @t2429 (tptp.c_Product__Type_Ocurry @t14 @t420 @t579 @t2)) @t2))) % 54.75/54.96 (assume @p2050 (forall @t2440 (= (tptp.c_Product__Type_Ocurry @t14 @t420 @t579 @t2775) @t2))) % 54.75/54.96 (assume @p2051 (forall @t1757 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t1756) @t1755)) (=> (tptp.hBOOL (tptp.hAPP @t1404 @t510)) @t1079)))) % 54.75/54.96 (assume @p2052 (forall @t379 (=> @t570 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 (tptp.hAPP @t1043 @t347)) @t347)) @t975)))) % 54.75/54.96 (assume @p2053 (forall @t379 (=> @t570 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t979) @t347)) @t975)))) % 54.75/54.96 (assume @p2054 (forall @t379 (=> (not (= @t347 @t624)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t829) @t347)) (= (tptp.hAPP @t1598 @t102) @t734))))) % 54.75/54.96 (assume @p2055 (forall @t2781 (= (tptp.hAPP @t1940 (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) @t2344) (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 @t2260 tptp.tc_Nat_Onat) @t723) @t625)) @t859))) @t2780)) (tptp.hAPP (tptp.hAPP @t723 @t626) (tptp.hAPP @t2344 (tptp.hAPP @t2344 (tptp.hAPP (tptp.hAPP @t723 (tptp.hAPP @t625 @t2778)) @t859))))))) % 54.75/54.96 (assume @p2056 (forall @t934 (tptp.hBOOL (tptp.hAPP @t2782 @t288)))) % 54.75/54.96 (assume @p2057 (forall @t304 (=> @t415 (tptp.hBOOL (tptp.hAPP @t2784 @t384))))) % 54.75/54.96 (assume @p2058 (forall @t677 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t315) @t359)))) % 54.75/54.96 (assume @p2059 (forall @t2791 (=> @t1633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t1631 @t2790)) @t2788))))) % 54.75/54.96 (assume @p2060 (forall @t2791 (=> @t1633 (tptp.hBOOL (tptp.hAPP @t1103 @t2788))))) % 54.75/54.96 (assume @p2061 (forall @t334 (=> @t2797 (=> @t2796 (=> (tptp.hBOOL (tptp.hAPP @t2795 @t51)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t2794) (tptp.hAPP (tptp.hAPP @t2793 @t51) @t54))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t52) @t51)))))))) % 54.75/54.96 (assume @p2062 (forall @t304 (=> @t415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t384) @t181)) @t847)))) % 54.75/54.96 (assume @p2063 (forall @t327 (=> @t415 (=> @t2799 (=> @t2798 (tptp.hBOOL (tptp.hAPP @t2784 @t321))))))) % 54.75/54.96 (assume @p2064 (forall @t304 (=> @t415 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t736) @t181))))) % 54.75/54.96 (assume @p2065 (forall @t400 (=> @t2803 (not (and @t2802 (not @t2800)))))) % 54.75/54.96 (assume @p2066 (forall @t370 (=> @t2803 @t2808))) % 54.75/54.96 (assume @p2067 (forall @t1283 (=> @t2813 (not (and @t2812 (not @t2810)))))) % 54.75/54.96 (assume @p2068 (forall @t370 (=> @t2803 (=> @t2807 @t2806)))) % 54.75/54.96 (assume @p2069 (forall @t1278 (=> @t2813 (=> @t339 @t2816)))) % 54.75/54.96 (assume @p2070 (forall @t400 (=> @t2803 @t709))) % 54.75/54.96 (assume @p2071 (forall @t400 (=> @t2803 @t472))) % 54.75/54.96 (assume @p2072 (forall @t400 (=> @t2803 @t2800))) % 54.75/54.96 (assume @p2073 (forall @t370 (=> @t2800 @t2808))) % 54.75/54.96 (assume @p2074 (forall @t1278 (=> @t712 (=> (and @t2817 (not (tptp.hBOOL (tptp.hAPP @t2814 @t274)))) @t2816)))) % 54.75/54.96 (assume @p2075 (forall @t370 (=> @t2800 (=> @t2807 @t2805)))) % 54.75/54.96 (assume @p2076 (forall @t400 (=> @t2800 (=> @t2802 @t399)))) % 54.75/54.96 (assume @p2077 (forall @t372 (=> @t2819 (=> @t2818 @t473)))) % 54.75/54.96 (assume @p2078 (forall @t1278 (=> @t2810 (=> @t339 @t2815)))) % 54.75/54.96 (assume @p2079 (forall @t1278 (=> @t712 (=> @t2817 @t2815)))) % 54.75/54.96 (assume @p2080 (forall @t1283 (=> @t2810 (=> @t1052 @t2813)))) % 54.75/54.96 (assume @p2081 (forall @t400 (=> @t2800 (or @t2803 @t399)))) % 54.75/54.96 (assume @p2082 (forall (@list @t16 @t659) (=> @t2821 (= @t2820 @t678)))) % 54.75/54.96 (assume @p2083 (forall @t400 (=> @t399 @t2800))) % 54.75/54.96 (assume @p2084 (forall @t1283 (=> @t1052 (=> @t2810 @t2813)))) % 54.75/54.96 (assume @p2085 (forall @t663 (= @t2822 (and @t2820 @t703)))) % 54.75/54.96 (assume @p2086 (forall @t663 (= @t2820 (or @t2822 @t678)))) % 54.75/54.96 (assume @p2087 (forall @t663 (= @t678 (and @t2820 @t2821)))) % 54.75/54.96 (assume @p2088 (forall @t705 (=> @t704 (= (= @t2825 @t2824) @t678)))) % 54.75/54.96 (assume @p2089 (forall @t327 (=> @t415 (=> @t2799 (=> @t2827 @t2798))))) % 54.75/54.96 (assume @p2090 (forall @t304 (=> @t415 (tptp.hBOOL (tptp.hAPP @t2784 @t181))))) % 54.75/54.96 (assume @p2091 (forall (@list @t76 @t367 @t288 @t289) (=> @t415 (=> @t2831 (tptp.hBOOL (tptp.hAPP @t2829 @t2828)))))) % 54.75/54.96 (assume @p2092 (forall (@list @t347 @t102 @t349 @t14) (=> @t2797 (=> (tptp.hBOOL (tptp.hAPP @t2832 @t102)) (= (tptp.hBOOL (tptp.hAPP @t2832 (tptp.c_Divides_Odiv__class_Omod @t14 @t347 @t102))) (tptp.hBOOL (tptp.hAPP @t2832 @t347))))))) % 54.75/54.96 (assume @p2093 (forall @t1113 (=> @t1257 (=> @t2834 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t1256 @t26) @t1261))))) % 54.75/54.96 (assume @p2094 (forall @t2839 (=> @t1257 (=> @t2838 (=> @t2837 @t2836))))) % 54.75/54.96 (assume @p2095 (forall @t2839 (=> @t1257 (=> @t2836 (=> @t2837 @t2838))))) % 54.75/54.96 (assume @p2096 (forall @t663 (= @t2820 @t2840))) % 54.75/54.96 (assume @p2097 (forall @t663 (= @t2840 @t2820))) % 54.75/54.96 (assume @p2098 (forall @t327 (=> @t415 (=> @t2841 @t2827)))) % 54.75/54.96 (assume @p2099 (forall @t327 (=> @t415 (=> @t2841 @t2798)))) % 54.75/54.96 (assume @p2100 (forall (@list @t359 @t274 @t181 @t289) (=> (tptp.class_Rings_Odvd @t289) (=> (= @t181 (tptp.hAPP @t787 @t359)) (tptp.hBOOL (tptp.hAPP @t2826 @t181)))))) % 54.75/54.96 (assume @p2101 (forall @t433 (=> @t415 (=> @t2799 (=> (tptp.hBOOL (tptp.hAPP @t2833 @t427)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t856) @t1120))))))) % 54.75/54.96 (assume @p2102 (forall @t500 (=> @t415 (=> @t2798 @t2842)))) % 54.75/54.96 (assume @p2103 (forall @t327 (=> @t415 (=> @t2799 @t2842)))) % 54.75/54.96 (assume @p2104 (forall @t552 (=> @t415 (tptp.hBOOL (tptp.hAPP @t2784 @t788))))) % 54.75/54.96 (assume @p2105 (forall @t552 (=> @t415 (tptp.hBOOL (tptp.hAPP @t2784 @t751))))) % 54.75/54.96 (assume @p2106 (forall @t2845 (=> @t562 (= (tptp.hBOOL (tptp.hAPP @t2843 (tptp.hAPP @t1631 @t349))) @t2844)))) % 54.75/54.96 (assume @p2107 (forall @t2845 (=> @t562 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 (tptp.hAPP @t1631 @t347)) @t349)) @t2844)))) % 54.75/54.96 (assume @p2108 (forall (@list @t359 @t531 @t289) (=> @t604 (=> (= (tptp.hAPP @t1625 @t531) @t1711) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t531) @t359)))))) % 54.75/54.96 (assume @p2109 (forall @t1071 (=> @t2849 (=> @t2848 @t2847)))) % 54.75/54.96 (assume @p2110 (forall (@list @t76 @t306 @t2850) (=> (tptp.hBOOL (tptp.hAPP @t2851 @t306)) (=> (tptp.hBOOL (tptp.hAPP @t2851 @t76)) (tptp.hBOOL (tptp.hAPP @t2851 @t1586)))))) % 54.75/54.96 (assume @p2111 (forall @t1071 (=> (tptp.hBOOL (tptp.hAPP @t2852 @t1586)) @t2853))) % 54.75/54.96 (assume @p2112 (forall @t2856 (= @t2855 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 (tptp.hAPP @t726 @t859)) @t104))))) % 54.75/54.96 (assume @p2113 (forall @t2856 (= @t2855 (tptp.hBOOL (tptp.hAPP @t2854 (tptp.hAPP @t726 @t104)))))) % 54.75/54.96 (assume @p2114 (forall @t1071 (=> (tptp.hBOOL (tptp.hAPP @t2852 (tptp.hAPP @t1587 @t76))) @t2853))) % 54.75/54.96 (assume @p2115 (forall (@list @t102 @t349) (= (tptp.hBOOL (tptp.hAPP @t2857 @t351)) (tptp.hBOOL (tptp.hAPP @t2857 @t102))))) % 54.75/54.96 (assume @p2116 (forall @t2791 (=> @t437 (= (tptp.hAPP @t617 (tptp.hAPP (tptp.hAPP @t2859 @t2) @t1314)) (tptp.hAPP (tptp.hAPP @t2787 @t2858) @t1314))))) % 54.75/54.96 (assume @p2117 (forall @t673 (=> @t776 (=> @t2831 (=> (tptp.hBOOL (tptp.hAPP @t2830 @t365)) (tptp.hBOOL (tptp.hAPP @t2830 @t2546))))))) % 54.75/54.96 (assume @p2118 (forall @t705 (=> @t2862 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1229) @t659)) @t2861)))) % 54.75/54.96 (assume @p2119 (forall @t705 (=> @t2862 (= (tptp.hBOOL (tptp.hAPP @t2860 @t1228)) @t2861)))) % 54.75/54.96 (assume @p2120 (forall @t2867 (=> @t2866 (= (tptp.hAPP @t2864 @t2865) (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t2864 @t2780)) @t652))))) % 54.75/54.96 (assume @p2121 (forall @t2791 (=> @t2331 (= (tptp.hAPP @t718 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t420 tptp.tc_Int_Oint) @t2) @t1314)) (tptp.hAPP (tptp.hAPP @t2787 @t2868) @t1314))))) % 54.75/54.96 (assume @p2122 (forall @t2009 (= (tptp.hBOOL (tptp.hAPP @t2869 @t821)) @t976))) % 54.75/54.96 (assume @p2123 (forall @t2878 (=> @t2866 (= @t2877 (tptp.hAPP (tptp.hAPP @t2872 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t579 @t2731 @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1316 (tptp.tc_fun @t2731 @t14) @t579) @t2787) @t2871)) @t1314)) @t1467))))) % 54.75/54.96 (assume @p2124 (forall @t1283 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t181) @t274)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t274) @t181)) (= (tptp.hAPP @t1598 @t181) (tptp.hAPP @t1598 @t274)))))) % 54.75/54.96 (assume @p2125 (forall @t2880 (=> @t2866 (= (tptp.hAPP (tptp.hAPP @t2787 @t2879) @t1314) @t15)))) % 54.75/54.96 (assume @p2126 (forall @t2886 (=> @t2866 (= (tptp.hAPP (tptp.hAPP @t2787 @t2885) @t1314) (tptp.hAPP (tptp.hAPP @t329 @t2790) @t2882))))) % 54.75/54.96 (assume @p2127 (forall (@list @t1467 @t1 @t579 @t1314 @t2 @t420 @t14) (=> @t2889 (= (tptp.hAPP @t2888 (tptp.hAPP (tptp.hAPP @t2872 @t1) @t1467)) (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP (tptp.hAPP @t2876 (tptp.hAPP @t2875 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t2873 @t2873) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2256 (tptp.tc_fun @t2873 @t2873) @t420) (tptp.c_COMBB @t14 @t14 @t579)) @t2887)) @t1))) @t1467)) @t1314))))) % 54.75/54.96 (assume @p2128 (forall @t2892 (=> @t2889 (= (tptp.hAPP @t2888 @t2020) (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP @t2891 @t2020)) @t1314))))) % 54.75/54.96 (assume @p2129 (forall (@list @t1314 @t2 @t420 @t2020 @t14) (=> @t2889 (= (tptp.hAPP @t2893 @t2790) (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP (tptp.hAPP @t2785 @t2893) @t2)) @t1314))))) % 54.75/54.96 (assume @p2130 (forall @t2886 (=> @t1465 (= (tptp.hAPP (tptp.hAPP @t2787 @t2894) @t1314) (tptp.hAPP (tptp.hAPP @t1462 @t2790) @t2882))))) % 54.75/54.96 (assume @p2131 (forall @t2791 (=> @t1465 (= (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP (tptp.hAPP @t2785 @t758) @t2)) @t1314) (tptp.hAPP @t758 @t2790))))) % 54.75/54.96 (assume @p2132 (forall @t2892 (=> @t2066 (= (tptp.hAPP (tptp.hAPP @t2021 @t2790) @t2020) (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t2883 @t2021) @t2)) @t2020)) @t1314))))) % 54.75/54.96 (assume @p2133 (forall @t2791 (=> @t1633 (= (tptp.hAPP @t1631 @t2788) @t2788)))) % 54.75/54.96 (assume @p2134 (forall @t663 (=> @t1051 (=> @t1050 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t1049) @t1048)) (tptp.hBOOL (tptp.hAPP @t2895 @t659))))))) % 54.75/54.96 (assume @p2135 (forall @t2898 (= @t2897 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t2896) @t347))))) % 54.75/54.96 (assume @p2136 (forall @t927 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t636) @t57)) (tptp.hBOOL (tptp.hAPP @t2869 @t2896))))) % 54.75/54.96 (assume @p2137 (forall @t705 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2825) @t2824)) @t1027)))) % 54.75/54.96 (assume @p2138 (forall @t486 (=> @t770 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t895) @t894)) @t2899)))) % 54.75/54.96 (assume @p2139 (forall @t484 (=> @t770 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t861) @t858)) @t2899)))) % 54.75/54.96 (assume @p2140 (forall @t552 (=> @t1257 (=> @t2799 (= (tptp.c_Divides_Odiv__class_Omod @t289 @t274 @t181) @t384))))) % 54.75/54.96 (assume @p2141 (forall @t771 (=> @t2797 (= @t2796 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t52 @t54) @t15))))) % 54.75/54.96 (assume @p2142 (forall @t623 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2586 (tptp.hAPP @t2823 @t347)) (tptp.hAPP @t2823 @t102))) (tptp.hBOOL (tptp.hAPP @t2900 @t102)))))) % 54.75/54.96 (assume @p2143 (forall @t2107 (=> @t1257 (=> (tptp.hBOOL (tptp.hAPP @t2902 @t288)) (=> (tptp.hBOOL (tptp.hAPP @t2902 @t367)) (= (tptp.hAPP (tptp.hAPP @t1368 @t2004) @t365) (tptp.hAPP (tptp.hAPP @t319 (tptp.hAPP @t2901 @t365)) (tptp.hAPP (tptp.hAPP @t1368 @t367) @t365)))))))) % 54.75/54.96 (assume @p2144 (forall (@list @t679 @t365 @t288 @t367 @t289) (=> @t1257 (=> @t2904 (=> (tptp.hBOOL (tptp.hAPP @t2902 @t679)) (= (tptp.hAPP (tptp.hAPP @t739 @t2903) (tptp.hAPP (tptp.hAPP @t1368 @t679) @t365)) (tptp.hAPP (tptp.hAPP @t1368 (tptp.hAPP @t865 @t679)) @t2099))))))) % 54.75/54.96 (assume @p2145 (forall @t327 (=> @t1257 (=> @t2799 (= (tptp.hAPP @t2907 @t26) (tptp.hAPP (tptp.hAPP @t1368 @t817) @t181)))))) % 54.75/54.96 (assume @p2146 (forall @t552 (=> @t1257 (=> @t2799 (= (tptp.hAPP @t2907 @t181) @t274))))) % 54.75/54.96 (assume @p2147 (forall @t1113 (=> @t1257 (=> @t2834 (= (tptp.hAPP @t744 (tptp.hAPP @t2905 @t26)) (tptp.hAPP @t1401 @t26)))))) % 54.75/54.96 (assume @p2148 (forall @t552 (=> @t1257 (=> @t2799 (= (tptp.hAPP @t744 @t2906) @t274))))) % 54.75/54.96 (assume @p2149 (forall @t1014 (=> @t1271 (=> @t2904 (= (tptp.hAPP (tptp.hAPP @t1368 @t775) @t367) @t2908))))) % 54.75/54.96 (assume @p2150 (forall @t1014 (=> @t1271 (=> @t2904 (= (tptp.hAPP @t2901 @t1226) @t2908))))) % 54.75/54.96 (assume @p2151 (forall (@list @t181 @t76 @t306 @t289) (=> @t415 (=> @t1079 (tptp.hBOOL (tptp.hAPP @t2909 @t1723)))))) % 54.75/54.96 (assume @p2152 (forall (@list @t306 @t76 @t367 @t288 @t289) (=> @t415 (=> @t2831 (=> @t1092 (tptp.hBOOL (tptp.hAPP @t2829 (tptp.hAPP @t1641 @t306)))))))) % 54.75/54.96 (assume @p2153 (forall (@list @t306 @t274 @t76 @t181 @t289) (=> @t415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2783 @t1723) @t274)) (=> @t1079 (tptp.hBOOL (tptp.hAPP @t2909 @t274))))))) % 54.75/54.96 (assume @p2154 (forall (@list @t76 @t288 @t367 @t289) (=> @t1257 (=> @t2904 (= (tptp.hAPP (tptp.hAPP @t1609 @t2903) @t76) (tptp.hAPP (tptp.hAPP @t1368 @t1999) @t2828)))))) % 54.75/54.96 (assume @p2155 (forall @t372 (=> @t1288 (=> (tptp.hBOOL (tptp.hAPP @t949 @t76)) (=> @t2911 (=> @t2910 @t473)))))) % 54.75/54.96 (assume @p2156 (forall @t372 (=> (tptp.hBOOL (tptp.hAPP @t642 @t306)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t306) @t76)) (not @t2910))))) % 54.75/54.96 (assume @p2157 (forall (@list @t104 @t347 @t349) (=> @t2330 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t347) @t104)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t2912) (tptp.hAPP @t1239 @t104))))))) % 54.75/54.96 (assume @p2158 (forall @t1071 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 (tptp.hAPP @t917 @t306)) (tptp.hAPP @t917 @t76))) (=> (not (= @t359 @t624)) @t2911)))) % 54.75/54.96 (assume @p2159 (forall (@list @t51 @t104 @t16 @t859 @t54) (=> (tptp.hBOOL (tptp.hAPP @t2913 @t859)) (= (tptp.hBOOL (tptp.hAPP @t2913 (tptp.hAPP @t1845 @t104))) (tptp.hBOOL (tptp.hAPP @t2913 (tptp.hAPP (tptp.hAPP @t630 (tptp.hAPP @t1845 (tptp.hAPP (tptp.hAPP @t723 @t51) @t859))) @t104))))))) % 54.75/54.96 (assume @p2160 (forall (@list @t347 @t102 @t349) (= (tptp.hBOOL (tptp.hAPP @t2914 (tptp.hAPP (tptp.hAPP @t630 @t102) @t2912))) (tptp.hBOOL (tptp.hAPP @t2914 @t102))))) % 54.75/54.96 (assume @p2161 (forall @t2009 (= (tptp.hBOOL (tptp.hAPP @t2869 @t315)) @t395))) % 54.75/54.96 (assume @p2162 (forall @t372 (=> @t1403 (=> @t460 (not @t2818))))) % 54.75/54.96 (assume @p2163 (forall @t358 (= @t2916 (or @t1060 @t2915)))) % 54.75/54.96 (assume @p2164 (forall @t476 (=> @t2910 (= @t1589 @t306)))) % 54.75/54.96 (assume @p2165 (forall (@list @t659 @t102 @t16) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t102) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t659 @t102)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t102) (tptp.hAPP (tptp.hAPP @t1440 @t16) @t659)))))) % 54.75/54.96 (assume @p2166 (forall @t1071 (=> @t2847 (=> @t2848 (=> @t1092 @t2849))))) % 54.75/54.96 (assume @p2167 (forall @t1071 (=> @t2847 (=> @t2849 (=> @t1092 @t2848))))) % 54.75/54.96 (assume @p2168 (forall @t1806 (= (tptp.hBOOL (tptp.hAPP @t2895 @t734)) (= @t1660 @t734)))) % 54.75/54.96 (assume @p2169 (forall @t1557 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t367) @t288)) (= (tptp.hAPP @t1598 @t1372) (tptp.hAPP (tptp.hAPP @t1333 @t1628) @t1793))))) % 54.75/54.96 (assume @p2170 (forall @t2898 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t732) @t347)) (and (=> @t1093 @t2897) (=> (not @t1093) @t377))))) % 54.75/54.96 (assume @p2171 (forall (@list @t102 @t859 @t54 @t14) (=> @t2921 (= (tptp.hAPP @t2920 (tptp.hAPP (tptp.hAPP @t2863 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t14 tptp.tc_Nat_Onat) @t330) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t14 @t14) (tptp.hAPP (tptp.hAPP @t2918 @t761) @t617)) @t859))) @t2780)) (tptp.hAPP @t2917 (tptp.hAPP @t330 (tptp.hAPP @t330 (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP @t617 @t2778)) @t859)))))))) % 54.75/54.96 (assume @p2172 (forall (@list @t1525 @t87 @t14) (=> (and @t2923 @t2889) (= (exists @t8 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t761 @t1525) @t4)))) (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1525) (tptp.hAPP @t2922 @t15))) @t1143)))))) % 54.75/54.96 (assume @p2173 (forall (@list @t104 @t2574 @t859 @t14) (=> (and (tptp.class_Rings_Ocomm__ring @t14) @t2923) (=> (tptp.hBOOL (tptp.hAPP @t2924 @t2574)) (forall @t2925 (= (tptp.hBOOL (tptp.hAPP @t2924 (tptp.hAPP @t2922 @t104))) (tptp.hBOOL (tptp.hAPP @t2924 (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP (tptp.hAPP @t1462 @t4) (tptp.hAPP (tptp.hAPP @t761 @t573) @t2574))) @t104))))))))) % 54.75/54.96 (assume @p2174 (forall @t705 (=> (and @t2797 @t1619) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t1621) @t1620)) (= (tptp.c_Divides_Odiv__class_Omod @t14 @t1620 @t1621) @t15))))) % 54.75/54.96 (assume @p2175 (forall (@list @t859 @t52 @t51 @t54 @t14) (=> @t2797 (=> @t1665 (=> @t2058 (=> @t2796 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2792 @t51) @t859)) (= (= @t2794 (tptp.hAPP (tptp.hAPP @t2793 @t859) @t51)) (= @t858 @t860))))))))) % 54.75/54.96 (assume @p2176 (forall @t334 (=> @t2797 (=> @t1665 (=> @t2796 (= (= @t2794 @t51) (= @t52 @t895))))))) % 54.75/54.96 (assume @p2177 (forall @t1765 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t365) @t76)) (=> (tptp.hBOOL (tptp.hAPP @t642 @t76)) (tptp.hBOOL (tptp.hAPP @t997 @t76)))))) % 54.75/54.96 (assume @p2178 (forall @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t2926) @t2927)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t2927 @t2926) @t624)))) % 54.75/54.96 (assume @p2179 (forall (@list @t76 @t359) (=> @t2848 (=> @t506 @t1086)))) % 54.75/54.96 (assume @p2180 (forall @t1071 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t1070) @t1069)) (=> @t725 @t2819)))) % 54.75/54.96 (assume @p2181 (forall @t358 (=> @t1037 (= @t2916 @t2915)))) % 54.75/54.96 (assume @p2182 (forall (@list @t427 @t510) (=> @t945 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2777 @t427) @t510)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 (tptp.hAPP @t1598 @t427)) @t1716)))))) % 54.75/54.96 (assume @p2183 (forall (@list @t288 @t76 @t289) (=> @t415 (=> (or @t506 (= @t288 @t736)) (tptp.hBOOL (tptp.hAPP @t2830 @t1999)))))) % 54.75/54.96 (assume @p2184 (forall @t2935 (=> @t655 (=> @t2934 (=> @t2822 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t615) @t2420))))))) % 54.75/54.96 (assume @p2185 (forall @t2781 (= (tptp.hAPP (tptp.hAPP @t818 @t1934) (tptp.hAPP (tptp.hAPP @t2937 (tptp.hAPP (tptp.hAPP @t2247 @t2936) (tptp.hAPP (tptp.hAPP @t2591 @t818) @t859))) @t2780)) (tptp.hAPP @t1043 (tptp.hAPP @t2936 (tptp.hAPP @t2936 (tptp.hAPP (tptp.hAPP @t818 @t2778) @t859))))))) % 54.75/54.96 (assume @p2186 (forall @t2935 (=> @t655 (=> @t2939 (=> @t2820 @t2938))))) % 54.75/54.96 (assume @p2187 (forall @t2945 (=> @t1465 (and (=> @t968 (= @t2943 (tptp.hAPP (tptp.hAPP @t1462 @t656) (tptp.hAPP @t2 @t2944)))) (=> @t1075 (= @t2943 @t15)))))) % 54.75/54.96 (assume @p2188 (forall @t620 (=> @t2921 (= (tptp.hAPP @t2920 (tptp.hAPP (tptp.hAPP @t2863 @t617) @t2946)) (tptp.hAPP @t2917 (tptp.hAPP (tptp.hAPP @t329 @t618) @t757)))))) % 54.75/54.96 (assume @p2189 (forall (@list @t349 @t2) (=> (= @t1841 @t19) (= (tptp.hAPP @t2947 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t315 @t349)) (tptp.hAPP @t2947 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t19 @t349)))))) % 54.75/54.96 (assume @p2190 (forall @t2948 (=> @t655 (=> @t2934 @t2939)))) % 54.75/54.96 (assume @p2191 (forall @t864 (=> @t655 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2954) @t2953)) (or @t2952 @t2951))))) % 54.75/54.96 (assume @p2192 (forall @t2956 (=> @t2866 (= (tptp.hAPP @t2864 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t519 @t436)) (tptp.hAPP @t2955 @t2940))))) % 54.75/54.96 (assume @p2193 (forall @t2959 (=> @t2866 (= (tptp.hAPP @t2864 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t353 @t351)) (tptp.hAPP @t2958 @t2940))))) % 54.75/54.96 (assume @p2194 (forall @t2966 (= (tptp.hAPP @t625 @t2965) @t2962))) % 54.75/54.96 (assume @p2195 (forall @t2966 (= @t2965 (tptp.hAPP tptp.c_Int_Onat @t2962)))) % 54.75/54.96 (assume @p2196 (forall @t864 (=> @t655 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2586 @t2954) @t2953)) (and (or @t2952 (and @t2950 @t2949 (or (tptp.hBOOL (tptp.hAPP @t887 @t54)) (tptp.hBOOL (tptp.hAPP @t831 @t859))))) @t1470))))) % 54.75/54.96 (assume @p2197 (forall @t2945 (=> @t2866 (=> @t968 (= @t2968 (tptp.hAPP @t2967 (tptp.hAPP @t2864 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t519 @t102)))))))) % 54.75/54.96 (assume @p2198 (forall @t2974 (=> @t2866 (and (=> @t2973 (= @t2972 @t15)) (=> (not @t2973) (= @t2972 (tptp.hAPP @t2970 @t2969))))))) % 54.75/54.96 (assume @p2199 (forall (@list @t1601 @t2 @t102 @t347 @t14) (=> @t2866 (=> (tptp.hBOOL (tptp.hAPP @t967 @t2944)) (= (tptp.hAPP @t2864 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t347 @t2975)) (tptp.hAPP @t2970 (tptp.hAPP @t2864 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t2944 @t2975)))))))) % 54.75/54.96 (assume @p2200 (forall @t2982 (= (exists @t566 (and @t2981 @t2980)) (exists @t8 (and @t2979 @t1143))))) % 54.75/54.96 (assume @p2201 (forall @t2982 (= (forall @t566 (=> @t2981 @t2980)) (forall @t8 (=> @t2979 @t1143))))) % 54.75/54.96 (assume @p2202 (forall (@list @t102 @t87 @t2599) (=> (forall @t8 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t2983) @t1142))) (= (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP (tptp.hAPP @t2937 @t87) @t2780)) (tptp.hAPP (tptp.hAPP @t2937 @t2599) @t2780)) (tptp.hAPP (tptp.hAPP @t2937 (tptp.hAPP (tptp.hAPP @t2198 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2182 tptp.tc_Nat_Onat) @t1445) @t87)) @t2599)) @t2780))))) % 54.75/54.96 (assume @p2203 (forall (@list @t102 @t16 @t14) (=> @t2066 (=> (not @t760) (= (tptp.hAPP (tptp.hAPP @t2863 @t1996) @t2985) (tptp.hAPP (tptp.hAPP @t2021 (tptp.hAPP (tptp.hAPP @t1462 (tptp.hAPP @t1996 @t102)) @t757)) (tptp.hAPP (tptp.hAPP @t1462 @t16) @t757))))))) % 54.75/54.96 (assume @p2204 (forall @t2982 (= (exists @t566 (and @t2987 @t2980)) (exists @t8 (and @t2986 @t1143))))) % 54.75/54.96 (assume @p2205 (forall @t2982 (= (forall @t566 (=> @t2987 @t2980)) (forall @t8 (=> @t2986 @t1143))))) % 54.75/54.96 (assume @p2206 (forall @t864 (=> @t704 (=> @t481 (=> @t1473 (= @t2993 @t2990)))))) % 54.75/54.96 (assume @p2207 (forall @t864 (=> @t704 (=> @t2993 (=> @t481 (=> @t1473 @t2989)))))) % 54.75/54.96 (assume @p2208 (forall @t864 (=> @t704 (=> @t2993 (=> @t481 (=> @t1473 @t2988)))))) % 54.75/54.96 (assume @p2209 (forall @t2997 (= (tptp.hAPP @t2996 @t2995) @t2994))) % 54.75/54.96 (assume @p2210 (forall @t504 (= @t2985 @t2780))) % 54.75/54.96 (assume @p2211 (forall @t864 (=> @t704 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2992) @t2991)) (or @t1167 @t2951))))) % 54.75/54.96 (assume @p2212 (forall @t2956 (=> @t2866 (= (tptp.hAPP @t2864 (tptp.hAPP @t3000 @t436)) (tptp.hAPP @t2955 @t2999))))) % 54.75/54.96 (assume @p2213 (forall @t2959 (=> @t2866 (= (tptp.hAPP @t2864 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t353) @t351)) (tptp.hAPP @t2958 @t2999))))) % 54.75/54.96 (assume @p2214 (forall (@list @t347 @t102 @t434 @t14) (=> @t704 (=> (tptp.hBOOL (tptp.hAPP @t3002 @t102)) (= (tptp.hAPP (tptp.hAPP @t2570 (tptp.hAPP @t3001 @t347)) (tptp.hAPP @t3001 @t102)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t102) @t347)))))) % 54.75/54.96 (assume @p2215 (forall @t3008 (=> @t2866 (=> @t968 (=> @t3007 (= (tptp.hAPP @t3006 @t3004) @t3003)))))) % 54.75/54.96 (assume @p2216 (forall @t3008 (=> @t1465 (=> @t968 (=> @t3007 (= (tptp.hAPP (tptp.hAPP @t1462 @t3003) @t3005) @t3004)))))) % 54.75/54.96 (assume @p2217 (forall (@list @t349 @t2 @t14) (=> @t2866 (=> (= @t1841 @t15) (= (tptp.hAPP @t2864 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t315) @t349)) (tptp.hAPP @t2864 (tptp.hAPP @t2984 @t349))))))) % 54.75/54.96 (assume @p2218 (forall @t2945 (=> @t2866 (=> @t468 (= @t3005 (tptp.hAPP @t2967 (tptp.hAPP @t2864 (tptp.hAPP @t3000 @t102)))))))) % 54.75/54.96 (assume @p2219 (forall @t2974 (=> @t2866 (and (=> @t466 (= @t3010 @t15)) (=> @t522 (= @t3010 (tptp.hAPP @t3006 @t652))))))) % 54.75/54.96 (assume @p2220 (forall @t3025 (=> @t3024 (forall @t8 (=> @t3023 (=> @t3013 (tptp.hBOOL (tptp.hAPP @t3012 @t3011)))))))) % 54.75/54.96 (assume @p2221 (forall @t3029 (=> @t3024 (forall @t8 (=> @t3028 (=> @t3027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t3026) @t104)))))))) % 54.75/54.96 (assume @p2222 (forall (@list @t87 @t859) (=> @t1454 (=> (forall @t2925 (= @t1143 (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t1597 (tptp.hAPP (tptp.hAPP @t723 @t573) @t859)))))) (= @t1152 (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t3030 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t734 @t859))) @t1143))))))) % 54.75/54.96 (assume @p2223 (forall @t3029 (=> @t3024 (forall @t8 (=> @t3028 (=> @t3031 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t3026) @t104)))))))) % 54.75/54.96 (assume @p2224 (forall @t2997 (= (tptp.hAPP @t3033 (tptp.hAPP (tptp.hAPP @t630 @t1572) @t734)) @t3032))) % 54.75/54.96 (assume @p2225 (forall @t3025 (=> @t3024 (forall @t8 (=> @t3023 (=> @t3035 (tptp.hBOOL (tptp.hAPP @t3034 @t3011)))))))) % 54.75/54.96 (assume @p2226 (forall @t3039 (=> @t3038 (forall @t8 (=> @t3028 (=> @t3037 @t3036)))))) % 54.75/54.96 (assume @p2227 (forall @t3041 (=> @t3038 (forall @t8 (=> @t3023 (=> @t3037 @t3040)))))) % 54.75/54.96 (assume @p2228 (forall @t3039 (=> @t3038 (forall @t8 (=> @t3028 (=> @t3042 (not @t3036))))))) % 54.75/54.96 (assume @p2229 (forall @t3041 (=> @t3038 (forall @t8 (=> @t3023 (=> @t3042 (not @t3040))))))) % 54.75/54.96 (assume @p2230 (forall @t3047 (=> (tptp.hBOOL (tptp.hAPP @t949 @t1572)) (= @t3046 (tptp.hAPP @t3044 (tptp.hAPP @t2779 @t3043)))))) % 54.75/54.96 (assume @p2231 (forall (@list @t87 @t102 @t347 @t14) (=> @t2866 (=> @t968 (= (tptp.hAPP @t3048 @t2940) (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t87 @t347)) (tptp.hAPP @t3048 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t347 @t102)))))))) % 54.75/54.96 (assume @p2232 (forall @t2948 (=> @t655 (=> (forall @t2496 (=> (and @t3051 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t257) @t4)))) (tptp.hBOOL (tptp.hAPP @t3050 @t3049)))) @t2934)))) % 54.75/54.96 (assume @p2233 (forall @t705 (=> @t832 (= (tptp.hAPP @t3052 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t16 @t659)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t1228) @t1229))))) % 54.75/54.96 (assume @p2234 (forall @t705 (=> @t832 (= (tptp.hAPP @t3052 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t16) @t659)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t1228 @t1229))))) % 54.75/54.96 (assume @p2235 (forall (@list @t1314 @t1 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t3055 (tptp.hAPP @t3054 @t1314)) (tptp.hAPP (tptp.c_Set_Oimage @t579 @t14 (tptp.hAPP (tptp.hAPP @t3053 @t2) @t1)) @t1314)))) % 54.75/54.96 (assume @p2236 (forall @t3060 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3059 @t1314) @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3058 @t3057) @t3056))))) % 54.75/54.96 (assume @p2237 (forall @t3060 (= (tptp.hBOOL (tptp.hAPP @t3063 @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3061 @t3057) @t3056))))) % 54.75/54.96 (assume @p2238 (forall @t3060 (= @t2486 (= @t3057 @t3056)))) % 54.75/54.96 (assume @p2239 (forall (@list @t1314 @t2 @t420 @t1467 @t14) (= @t3067 (exists (@list @t3064) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t3064) @t1314)) (= @t1467 (tptp.hAPP @t3055 @t3064))))))) % 54.75/54.96 (assume @p2240 (forall @t3073 (=> @t2490 @t3072))) % 54.75/54.96 (assume @p2241 (forall @t3078 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP (tptp.hAPP @t2570 @t3066) @t3077)) (tptp.hAPP @t3055 @t3076))))) % 54.75/54.96 (assume @p2242 (forall @t705 (=> @t832 (= (tptp.hAPP @t3052 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t16 @t659)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t1228 @t1229))))) % 54.75/54.96 (assume @p2243 (forall @t2997 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3080 @t1572) @t3079))) % 54.75/54.96 (assume @p2244 (forall @t2966 (=> @t3083 (= (tptp.hAPP @t2864 @t1314) (tptp.hAPP (tptp.hAPP @t3081 @t2317) @t3057))))) % 54.75/54.96 (assume @p2245 (forall @t379 (=> (tptp.c_Nat__Transfer_Ois__nat @t347) (=> (tptp.c_Nat__Transfer_Ois__nat @t102) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t347 @t102) (tptp.hAPP @t3044 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t347) (tptp.hAPP tptp.c_Int_Onat @t102)))))))) % 54.75/54.96 (assume @p2246 (forall (@list @t102 @t1314 @t2 @t14) (=> (= @t2965 @t436) (exists @t8 (and @t3087 @t3084))))) % 54.75/54.96 (assume @p2247 (forall (@list @t1 @t2 @t859 @t52 @t51 @t54 @t14 @t420) (=> (and @t3092 @t2563) (=> @t2989 (=> @t2988 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t1469 @t4)) (=> (tptp.hBOOL (tptp.hAPP @t3091 @t859)) @t7))) (= (tptp.hAPP @t3090 @t2992) (tptp.hAPP @t3089 @t2991)))))))) % 54.75/54.96 (assume @p2248 (forall @t2997 (= (tptp.hAPP @t3095 @t3032) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t630 @t3094) @t734))))) % 54.75/54.96 (assume @p2249 (forall @t18 (=> @t832 (= (tptp.hAPP @t3052 @t3097) (tptp.hAPP @t2823 @t1229))))) % 54.75/54.96 (assume @p2250 (forall @t2997 (= (tptp.hAPP @t3095 @t3099) @t3098))) % 54.75/54.96 (assume @p2251 (forall @t705 (=> @t704 (= (= @t3097 @t3100) @t678)))) % 54.75/54.96 (assume @p2252 (forall @t3106 (= (tptp.hAPP @t3105 @t3104) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3102) @t3101)))) % 54.75/54.96 (assume @p2253 (forall @t3106 (= (tptp.hAPP @t3105 @t3107) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t3102 @t3101)))) % 54.75/54.96 (assume @p2254 (forall @t3110 (= (tptp.hAPP @t3109 @t3104) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1533) @t3108)))) % 54.75/54.96 (assume @p2255 (forall @t3110 (= (tptp.hAPP @t3109 @t3107) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t1533 @t3108)))) % 54.75/54.96 (assume @p2256 (forall @t2584 (= @t3113 (tptp.hAPP (tptp.hAPP @t2963 @t3111) @t1314)))) % 54.75/54.96 (assume @p2257 (forall @t3115 (= (tptp.hAPP @t3114 @t3057) @t1314))) % 54.75/54.96 (assume @p2258 (forall @t705 (=> @t704 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3097) @t3100)) @t1030)))) % 54.75/54.96 (assume @p2259 (forall (@list @t1314 @t659 @t420 @t14) (=> @t437 (= (tptp.hAPP (tptp.hAPP @t2787 (tptp.hAPP @t2557 @t659)) @t1314) (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP @t617 @t3117)) @t659))))) % 54.75/54.96 (assume @p2260 (forall @t3047 (= (tptp.hAPP @t3095 @t3046) @t3043))) % 54.75/54.96 (assume @p2261 (forall @t2997 (= (tptp.hAPP @t3095 @t3118) @t3098))) % 54.75/54.96 (assume @p2262 (forall @t379 (= @t2940 (tptp.hAPP @t3114 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t636 @t626))))) % 54.75/54.96 (assume @p2263 (forall @t2997 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3119 @t1572) @t3099))) % 54.75/54.96 (assume @p2264 (forall @t2997 (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t2304 @t630) @t1525)) (tptp.hAPP @t3045 @t3094)) @t3118))) % 54.75/54.96 (assume @p2265 (forall @t18 (=> @t832 (= (tptp.hAPP @t3052 @t2825) (tptp.hAPP @t3096 @t1229))))) % 54.75/54.96 (assume @p2266 (forall @t2997 (= (tptp.hAPP @t3095 @t3120) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t3093 @t3119))))) % 54.75/54.96 (assume @p2267 (forall @t3126 (=> @t3083 (=> @t3125 (= @t3124 (tptp.hAPP (tptp.hAPP @t2863 @t3122) @t3121)))))) % 54.75/54.96 (assume @p2268 (forall @t3060 (=> @t3125 (=> @t3128 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3058 @t1314) @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3059 @t3121) @t3127))))))) % 54.75/54.96 (assume @p2269 (forall @t3060 (=> @t3125 (=> @t3128 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3061 @t1314) @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3062 @t3121) @t3127))))))) % 54.75/54.96 (assume @p2270 (forall @t3115 (=> @t3125 (= (tptp.hAPP @t3095 @t1314) (tptp.hAPP @t3129 @t3121))))) % 54.75/54.96 (assume @p2271 (forall @t3047 (= (tptp.hAPP @t3129 (tptp.hAPP @t2779 @t1572)) @t1572))) % 54.75/54.96 (assume @p2272 (forall @t3060 (=> @t3125 (=> @t3128 (= @t2486 (= @t3121 @t3127)))))) % 54.75/54.96 (assume @p2273 (forall @t2997 (= (tptp.hAPP @t3129 @t3132) @t3131))) % 54.75/54.96 (assume @p2274 (forall @t2997 (= (tptp.hAPP @t3129 @t3079) @t3131))) % 54.75/54.96 (assume @p2275 (forall (@list @t3133) (= (tptp.c_Nat__Transfer_Onat__set @t3133) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3030 @t3133)) @t1144))))) % 54.75/54.96 (assume @p2276 (forall @t705 (=> @t832 (= (tptp.hAPP @t3052 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t16 @t659)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t1228 @t1229))))) % 54.75/54.96 (assume @p2277 (forall (@list @t2575) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t3044 @t2575)))) % 54.75/54.96 (assume @p2278 (forall @t663 (=> @t2098 @t3134))) % 54.75/54.96 (assume @p2279 (forall @t2997 (= (tptp.hAPP @t3129 @t2994) (tptp.hAPP (tptp.hAPP @t1445 @t2995) @t1525)))) % 54.75/54.96 (assume @p2280 (forall @t3115 (= @t3135 (tptp.hAPP @t3095 @t3057)))) % 54.75/54.96 (assume @p2281 (forall (@list @t349 @t1314) (=> (tptp.hBOOL (tptp.hAPP @t3063 @t3136)) (= @t1314 @t3136)))) % 54.75/54.96 (assume @p2282 (forall @t663 (=> @t1051 @t3134))) % 54.75/54.96 (assume @p2283 (forall @t3115 (=> @t3125 (= (tptp.hAPP @t3044 @t3121) @t1314)))) % 54.75/54.96 (assume @p2284 (forall @t2997 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t3119) @t1572) @t3120))) % 54.75/54.96 (assume @p2285 (forall @t504 (= @t3138 (tptp.hAPP @t3114 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t624 @t626))))) % 54.75/54.96 (assume @p2286 (forall @t3140 (=> @t3083 (=> @t2486 (=> @t3128 (=> @t3139 (= @t3124 (tptp.hAPP (tptp.hAPP @t3081 @t1) @t1467)))))))) % 54.75/54.96 (assume @p2287 (forall @t3149 (=> @t704 (=> @t3148 (=> @t3146 (= (tptp.hAPP @t3145 @t3142) @t3141)))))) % 54.75/54.96 (assume @p2288 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3155 (= (tptp.hAPP @t3154 @t3152) @t3151)))))) % 54.75/54.96 (assume @p2289 (forall (@list @t14 @t1314 @t16 @t1467) (=> (=> @t3163 @t3161) @t3160))) % 54.75/54.96 (assume @p2290 (forall @t3164 (=> @t3160 (=> (not @t3161) @t3162)))) % 54.75/54.96 (assume @p2291 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3168 @t3141) @t3166))))) % 54.75/54.96 (assume @p2292 (forall @t3174 (= (tptp.hAPP @t3055 @t3173) (tptp.hAPP (tptp.hAPP @t3144 @t3066) @t3077)))) % 54.75/54.96 (assume @p2293 (forall @t3060 (=> @t3125 (=> @t3128 (tptp.c_Nat__Transfer_Onat__set @t3176))))) % 54.75/54.96 (assume @p2294 (forall (@list @t1314 @t14 @t16 @t1467) (=> @t3162 @t3160))) % 54.75/54.96 (assume @p2295 (forall (@list @t1467 @t14 @t16 @t1314) (=> @t3161 @t3160))) % 54.75/54.96 (assume @p2296 (forall @t3179 (= (forall @t8 (=> @t3178 @t1143)) (and (forall @t8 (=> @t3087 @t1143)) (forall @t8 (=> @t3177 @t1143)))))) % 54.75/54.96 (assume @p2297 (forall @t3179 (= (exists @t8 (and @t3178 @t1143)) (or (exists @t8 (and @t3087 @t1143)) (exists @t8 (and @t3177 @t1143)))))) % 54.75/54.96 (assume @p2298 (forall @t2580 (= (tptp.hAPP (tptp.hAPP @t3144 @t3159) @t2575) @t3182))) % 54.75/54.96 (assume @p2299 (forall @t2580 (= @t3182 (tptp.hAPP @t3180 @t3183)))) % 54.75/54.96 (assume @p2300 (forall @t2491 (= (tptp.hAPP @t3158 @t3159) @t3159))) % 54.75/54.96 (assume @p2301 (forall @t2491 (= @t3159 @t3184))) % 54.75/54.96 (assume @p2302 (forall @t2584 (= (tptp.hAPP @t3158 @t1314) @t1314))) % 54.75/54.96 (assume @p2303 (forall @t3187 (=> @t3186 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t1316) @t2) @t1) @t16) (tptp.hAPP (tptp.hAPP @t3185 @t615) @t1005))))) % 54.75/54.96 (assume @p2304 (forall @t673 (=> @t3195 @t3194))) % 54.75/54.96 (assume @p2305 (forall @t673 (=> @t3196 @t3194))) % 54.75/54.96 (assume @p2306 (forall @t327 (=> @t3195 (= (tptp.hAPP (tptp.hAPP @t3188 @t3200) @t26) @t3199)))) % 54.75/54.96 (assume @p2307 (forall @t673 (=> @t3195 @t3202))) % 54.75/54.96 (assume @p2308 (forall @t673 (=> @t3196 @t3202))) % 54.75/54.96 (assume @p2309 (forall @t346 (=> @t3195 (= (tptp.hAPP @t3197 (tptp.hAPP @t3198 @t26)) @t3199)))) % 54.75/54.96 (assume @p2310 (forall @t605 (=> @t3195 @t3203))) % 54.75/54.96 (assume @p2311 (forall @t605 (=> @t3196 @t3203))) % 54.75/54.96 (assume @p2312 (forall @t552 (=> @t3195 (= (tptp.hAPP @t3198 @t3200) @t3200)))) % 54.75/54.96 (assume @p2313 (forall @t605 (=> @t3195 @t3205))) % 54.75/54.96 (assume @p2314 (forall @t605 (=> @t3196 @t3205))) % 54.75/54.96 (assume @p2315 (forall @t552 (=> @t3195 (= @t3200 (tptp.hAPP @t3197 @t181))))) % 54.75/54.96 (assume @p2316 (forall @t291 (=> @t3195 @t3206))) % 54.75/54.96 (assume @p2317 (forall @t304 (=> @t3195 (= (tptp.hAPP @t3198 @t181) @t181)))) % 54.75/54.96 (assume @p2318 (forall @t2580 (= (tptp.hAPP (tptp.hAPP @t2570 @t3159) @t2575) (tptp.hAPP (tptp.hAPP @t3144 @t3208) @t3207)))) % 54.75/54.96 (assume @p2319 (forall @t3210 (= (tptp.hAPP (tptp.hAPP @t3144 @t3209) @t1314) @t3184))) % 54.75/54.96 (assume @p2320 (forall @t2491 (= @t3211 @t3159))) % 54.75/54.96 (assume @p2321 (forall @t291 (=> @t3196 @t3206))) % 54.75/54.96 (assume @p2322 (forall @t1799 (=> (and @t3212 @t704) (= @t3185 @t2630)))) % 54.75/54.96 (assume @p2323 (forall @t705 (=> @t704 (= (= @t3214 @t3213) @t678)))) % 54.75/54.96 (assume @p2324 (forall @t2516 (=> @t3195 (=> @t960 @t3215)))) % 54.75/54.96 (assume @p2325 (forall @t2637 (=> @t3195 (=> @t2636 @t3215)))) % 54.75/54.96 (assume @p2326 (forall @t2491 (tptp.hBOOL (tptp.hAPP @t2489 @t3159)))) % 54.75/54.96 (assume @p2327 (forall @t3210 (tptp.hBOOL (tptp.hAPP @t2487 @t3159)))) % 54.75/54.96 (assume @p2328 (forall @t2491 (= @t2490 @t3216))) % 54.75/54.96 (assume @p2329 (forall @t2491 (=> @t2490 @t3216))) % 54.75/54.96 (assume @p2330 (forall @t3210 (=> @t2488 (= @t3159 @t1314)))) % 54.75/54.96 (assume @p2331 (forall @t3218 (=> @t2577 (=> @t2579 (tptp.hBOOL (tptp.hAPP @t3217 @t2575)))))) % 54.75/54.96 (assume @p2332 (forall @t3221 (=> @t2577 (=> @t3220 (tptp.hBOOL (tptp.hAPP @t3217 (tptp.hAPP @t3219 @t2574))))))) % 54.75/54.96 (assume @p2333 (forall @t2642 (=> @t3195 (=> @t3223 @t2639)))) % 54.75/54.96 (assume @p2334 (forall @t1666 (=> @t3195 (=> @t1022 (=> @t2518 (tptp.hBOOL (tptp.hAPP @t3222 (tptp.hAPP (tptp.hAPP @t3188 @t26) @t427)))))))) % 54.75/54.96 (assume @p2335 (forall @t670 (=> @t3195 (=> @t1003 (=> @t1012 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t3190) @t288))))))) % 54.75/54.96 (assume @p2336 (forall @t2527 (=> @t3195 (=> @t2526 (=> @t2524 @t3223))))) % 54.75/54.96 (assume @p2337 (forall @t1014 (=> @t3195 (=> @t1003 (= @t3193 @t288))))) % 54.75/54.96 (assume @p2338 (forall @t605 (=> @t3195 (=> @t1004 (= @t3193 @t367))))) % 54.75/54.96 (assume @p2339 (forall @t2637 (=> @t3195 (=> @t2510 @t3224)))) % 54.75/54.96 (assume @p2340 (forall @t2516 (=> @t3195 (=> @t1185 @t3224)))) % 54.75/54.96 (assume @p2341 (forall @t2509 (=> @t3212 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t3226) @t57)) @t2644)))) % 54.75/54.96 (assume @p2342 (forall @t705 (=> @t3212 (= @t1027 (= @t3226 @t659))))) % 54.75/54.96 (assume @p2343 (forall @t1014 (=> @t3195 @t3227))) % 54.75/54.96 (assume @p2344 (forall @t1014 (=> @t3196 @t3227))) % 54.75/54.96 (assume @p2345 (forall @t605 (=> @t3195 @t3228))) % 54.75/54.96 (assume @p2346 (forall @t605 (=> @t3196 @t3228))) % 54.75/54.96 (assume @p2347 (forall @t3047 (= (tptp.hAPP @t3129 (tptp.hAPP @t3137 @t1572)) @t2995))) % 54.75/54.96 (assume @p2348 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3231 @t3229) @t3166))))) % 54.75/54.96 (assume @p2349 (forall @t3170 (=> @t704 (=> @t3234 (= (tptp.hAPP @t3168 @t3233) @t3232))))) % 54.75/54.96 (assume @p2350 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3146 (= (tptp.hAPP @t3237 @t3235) @t3151)))))) % 54.75/54.96 (assume @p2351 (forall @t2580 (= (tptp.hBOOL (tptp.hAPP @t2573 @t2575)) (tptp.hBOOL (tptp.hAPP @t2489 @t3181))))) % 54.75/54.96 (assume @p2352 (forall @t2491 (=> @t2490 (= @t3211 @t1467)))) % 54.75/54.96 (assume @p2353 (forall @t3060 (= (tptp.hAPP (tptp.hAPP @t3238 @t1314) @t1467) (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t3175 @t3057) @t3056))))) % 54.75/54.96 (assume @p2354 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3146 (= (tptp.hAPP @t3241 @t3239) @t3141)))))) % 54.75/54.96 (assume @p2355 (forall @t2491 (= (tptp.hAPP @t2581 @t2572) (tptp.hAPP @t3242 @t1467)))) % 54.75/54.96 (assume @p2356 (forall @t3060 (=> @t3125 (=> @t3128 (= @t3176 (tptp.hAPP @t3044 (tptp.hAPP (tptp.hAPP @t3238 @t3121) @t3127))))))) % 54.75/54.96 (assume @p2357 (forall @t504 (= @t2976 @t3138))) % 54.75/54.96 (assume @p2358 (forall @t2997 (= (tptp.hAPP @t3129 @t3243) (tptp.hAPP @t3130 @t3080)))) % 54.75/54.96 (assume @p2359 (forall @t1915 (= @t3245 @t3244))) % 54.75/54.96 (assume @p2360 (forall @t2997 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t3080) @t1572) @t3243))) % 54.75/54.96 (assume @p2361 (forall @t705 (=> @t655 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3214) @t3213)) @t1027)))) % 54.75/54.96 (assume @p2362 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3146 (= (tptp.hAPP @t3237 @t3142) @t3229)))))) % 54.75/54.96 (assume @p2363 (forall @t1537 (=> @t1548 (= (tptp.hAPP @t3103 @t3108) (tptp.hAPP (tptp.hAPP @t3238 @t3104) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t1531) @t3108)))))) % 54.75/54.96 (assume @p2364 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3231 @t3151) @t3232))))) % 54.75/54.96 (assume @p2365 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3146 (= (tptp.hAPP @t3154 @t3239) @t3229)))))) % 54.75/54.96 (assume @p2366 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP (tptp.hAPP @t3144 @t3141) @t3247) @t3246))))) % 54.75/54.96 (assume @p2367 (forall @t2332 (=> @t704 (= (tptp.hAPP @t2581 @t3249) @t3248)))) % 54.75/54.96 (assume @p2368 (forall @t2332 (=> @t704 (= (tptp.hAPP @t2581 @t3248) @t3249)))) % 54.75/54.96 (assume @p2369 (forall @t3149 (=> @t704 (=> @t3148 (=> @t3146 (= (tptp.hAPP @t3145 @t3235) @t3233)))))) % 54.75/54.96 (assume @p2370 (forall @t3149 (=> @t704 (=> @t3157 (=> @t3155 (= (tptp.hAPP @t3241 @t3152) @t3233)))))) % 54.75/54.96 (assume @p2371 (forall @t2867 (=> @t2866 (= (tptp.hAPP @t2864 (tptp.hAPP @t3137 @t436)) (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP @t2864 @t3138)) @t2969))))) % 54.75/54.96 (assume @p2372 (forall @t3170 (=> @t704 (=> @t3234 (= (tptp.hAPP @t3252 @t3251) @t3246))))) % 54.75/54.96 (assume @p2373 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP (tptp.hAPP @t3144 @t3229) @t3247) @t3253))))) % 54.75/54.96 (assume @p2374 (forall (@list @t3254 @t102 @t14) (= (tptp.hAPP @t3256 @t3254) (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP (tptp.hAPP @t3255 @t2946) @t3254)) (tptp.hAPP @t3254 @t19))))) % 54.75/54.96 (assume @p2375 (forall @t3266 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3059 @t3265) @t3264)) (and (or @t3263 (and @t3261 @t3259 (or (and @t3261 (not (tptp.hBOOL (tptp.hAPP @t3260 @t51)))) (and @t3259 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2776 @t859) @t52))))))) (tptp.hBOOL (tptp.hAPP @t3257 @t859)))))) % 54.75/54.96 (assume @p2376 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) @t2609)) % 54.75/54.96 (assume @p2377 (forall @t705 (=> @t704 (= (= @t3268 @t3267) @t678)))) % 54.75/54.96 (assume @p2378 (forall @t3276 (= @t3275 (exists @t8 (and @t3087 @t3271))))) % 54.75/54.96 (assume @p2379 (forall @t1915 (= @t3280 @t3278))) % 54.75/54.96 (assume @p2380 (forall @t705 (=> @t655 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3268) @t3267)) @t1030)))) % 54.75/54.96 (assume @p2381 (forall @t2332 (=> @t704 (= (tptp.hAPP @t2581 @t3282) @t3281)))) % 54.75/54.96 (assume @p2382 (forall @t2332 (=> @t704 (= (tptp.hAPP @t2581 @t3281) @t3282)))) % 54.75/54.96 (assume @p2383 (forall (@list @t349 @t3254 @t102 @t14) (= (tptp.hAPP @t3256 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2359 tptp.tc_Nat_Onat) @t3254) @t2957)) (tptp.hAPP (tptp.hAPP @t3255 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t349 @t351)) @t3254)))) % 54.75/54.96 (assume @p2384 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3283 @t3251) @t3253))))) % 54.75/54.96 (assume @p2385 (forall @t3266 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3062 @t3265) @t3264)) (or @t3263 (and @t3261 @t3259))))) % 54.75/54.96 (assume @p2386 (forall @t18 (=> @t832 (= (tptp.hAPP @t3052 @t3214) (tptp.hAPP @t3250 @t1229))))) % 54.75/54.96 (assume @p2387 (forall @t18 (=> @t832 (= (tptp.hAPP @t3052 @t3268) (tptp.hAPP @t3165 @t1229))))) % 54.75/54.96 (assume @p2388 (forall @t3288 (=> @t3287 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t3286) (tptp.hAPP (tptp.hAPP @t3284 @t1467) @t2))))))) % 54.75/54.96 (assume @p2389 (forall @t3297 (= @t3296 @t3292))) % 54.75/54.96 (assume @p2390 (forall @t3298 (= @t3292 @t3296))) % 54.75/54.96 (assume @p2391 (forall @t3303 (=> @t3302 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t2873) @t1314) @t2) @t16) (tptp.hAPP @t3301 @t3299))))) % 54.75/54.96 (assume @p2392 (forall (@list @t87 @t1467 @t1314 @t420 @t14) (= (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3309)) @t1143)) (forall @t8 (=> @t3307 (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP @t3304 @t3269)) (tptp.hBOOL (tptp.hAPP @t87 @t3014))))))))) % 54.75/54.96 (assume @p2393 (forall @t3313 (=> @t3302 (= (tptp.hAPP @t3301 (tptp.hAPP (tptp.hAPP @t3312 @t3311) @t2)) (tptp.hAPP @t3311 (tptp.hAPP (tptp.hAPP @t3310 @t3301) @t2871)))))) % 54.75/54.96 (assume @p2394 (forall @t3320 (= (tptp.hAPP @t3308 (tptp.hAPP (tptp.hAPP @t3319 (tptp.hAPP (tptp.hAPP @t3318 @t3316) @t1467)) @t2575)) (tptp.hAPP (tptp.hAPP @t3316 @t3315) @t2575)))) % 54.75/54.96 (assume @p2395 (forall @t3326 (= (tptp.hAPP (tptp.hAPP @t3289 @t3325) @t2575) (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t3323 (tptp.hAPP (tptp.hAPP @t3322 @t3289) @t1467)) @t2575))))) % 54.75/54.96 (assume @p2396 (forall (@list @t1572 @t3254 @t1314 @t420 @t14) (=> @t3302 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t3301 @t3254)) @t1572)) (forall @t8 (=> @t3307 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t3327) @t1572)))))))) % 54.75/54.96 (assume @p2397 (forall (@list @t2 @t1314 @t420 @t54 @t14) (=> @t3328 (= (tptp.hBOOL (tptp.hAPP @t480 (tptp.hAPP @t3301 @t2))) (exists @t8 (and @t3307 (tptp.hBOOL (tptp.hAPP @t480 @t6)))))))) % 54.75/54.96 (assume @p2398 (forall @t3334 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3333) @t1467)) (forall @t8 (=> @t3331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3329) @t1467))))))) % 54.75/54.96 (assume @p2399 (forall @t3337 (= (tptp.hAPP (tptp.hAPP @t3289 @t3336) @t1467) (tptp.hAPP @t3324 @t3335)))) % 54.75/54.96 (assume @p2400 (forall (@list @t1467 @t1314 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t3055 @t3325) (tptp.hAPP @t3324 (tptp.hAPP (tptp.hAPP @t3338 @t3055) @t1467))))) % 54.75/54.96 (assume @p2401 (forall @t3342 (= (tptp.hAPP @t3308 @t3341) (tptp.hAPP @t3340 @t1467)))) % 54.75/54.96 (assume @p2402 (forall @t3344 (= (tptp.hAPP (tptp.hAPP @t3289 @t3173) @t3254) (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP @t3308 @t3254)) (tptp.hAPP @t3343 @t3254))))) % 54.75/54.96 (assume @p2403 (forall @t3348 (= (tptp.hAPP @t3332 @t3347) (tptp.hAPP (tptp.hAPP @t3144 @t3333) (tptp.hAPP @t3332 @t1467))))) % 54.75/54.96 (assume @p2404 (= (tptp.hAPP @t3277 @t19) (tptp.hAPP @t3105 @t3349))) % 54.75/54.96 (assume @p2405 (forall @t2948 (=> @t655 (=> (forall @t2496 (=> @t3051 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t6) @t3049)))) @t2939)))) % 54.75/54.96 (assume @p2406 (forall @t2397 (=> (tptp.hBOOL (tptp.hAPP @t3351 @t2396)) (=> (forall @t1243 (=> (tptp.hBOOL (tptp.hAPP @t3351 (tptp.hAPP (tptp.hAPP @t2179 @t1231) @t567))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t1231) @t567)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t3350) @t567))) @t1332))) @t2388)))) % 54.75/54.96 (assume @p2407 (forall @t3352 (= (tptp.hAPP (tptp.c_Set_Oimage @t14 @t14 @t2207) @t138) @t138))) % 54.75/54.96 (assume @p2408 (forall @t18 (tptp.hBOOL (tptp.hAPP @t3353 @t16)))) % 54.75/54.96 (assume @p2409 (forall @t2584 (= (tptp.hAPP @t3158 @t3353) @t3353))) % 54.75/54.96 (assume @p2410 (forall @t3354 (= (tptp.hAPP (tptp.hAPP @t3144 @t3353) @t1467) @t3353))) % 54.75/54.96 (assume @p2411 (forall @t2584 (tptp.hBOOL (tptp.hAPP @t2489 @t3353)))) % 54.75/54.96 (assume @p2412 (forall @t3356 (=> (tptp.class_Orderings_Otop @t14) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t1316) @t16) @t3355)))) % 54.75/54.96 (assume @p2413 (forall (@list @t1 @t2 @t579 @t14 @t420) (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t579 @t14 @t420) @t2) @t1)) @t3357) (tptp.hAPP @t3359 (tptp.hAPP @t3358 @t3357))))) % 54.75/54.96 (assume @p2414 (forall @t291 (=> (tptp.class_Orderings_Otop @t289) (tptp.hBOOL (tptp.hAPP @t962 @t3360))))) % 54.75/54.96 (assume @p2415 (forall @t291 (=> @t3361 (= (tptp.hAPP (tptp.hAPP @t3188 @t3360) @t288) @t3360)))) % 54.75/54.96 (assume @p2416 (forall @t291 (=> @t3361 (= (tptp.hAPP @t3191 @t3360) @t3360)))) % 54.75/54.96 (assume @p2417 (= (tptp.hAPP @t3362 @t2779) @t3349)) % 54.75/54.96 (assume @p2418 (= (tptp.hAPP @t3362 @t3137) @t3349)) % 54.75/54.96 (assume @p2419 (= (tptp.hAPP @t3362 @t3279) @t3349)) % 54.75/54.96 (assume @p2420 (forall @t3367 (=> @t3366 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t2581 @t3066)) (tptp.hAPP @t3055 @t3364)))))) % 54.75/54.96 (assume @p2421 (forall @t2584 (= (tptp.hAPP @t3158 @t2583) @t3353))) % 54.75/54.96 (assume @p2422 (forall @t2584 (= (tptp.hAPP @t3242 @t1314) @t3353))) % 54.75/54.96 (assume @p2423 (forall @t2584 (= @t2583 (tptp.hAPP (tptp.hAPP @t2570 @t3353) @t1314)))) % 54.75/54.96 (assume @p2424 (= (tptp.hAPP @t3279 @t19) @t3349)) % 54.75/54.96 (assume @p2425 (forall @t291 (=> @t1227 (= (tptp.hAPP @t3191 @t775) @t3360)))) % 54.75/54.96 (assume @p2426 (forall @t291 (=> @t1227 (= (tptp.hAPP @t3368 @t288) @t3360)))) % 54.75/54.96 (assume @p2427 (forall @t2584 (= (tptp.hAPP @t3369 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t3371 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 (tptp.tc_fun @t3371 @t2359) tptp.tc_Nat_Onat) @t3255) @t2984)) @t1314)) @t3370))) % 54.75/54.96 (assume @p2428 (forall @t3377 (=> (forall @t177 (tptp.hBOOL (tptp.hAPP @t3376 @t3374))) (tptp.hBOOL (tptp.hAPP @t3373 @t3372))))) % 54.75/54.96 (assume @p2429 (forall @t3377 (=> (forall @t177 (= @t3375 @t3374)) (= @t3370 @t3372)))) % 54.75/54.96 (assume @p2430 (forall @t3378 (=> (forall @t177 (tptp.hBOOL (tptp.hAPP @t3376 @t2575))) (tptp.hBOOL (tptp.hAPP @t3373 @t2575))))) % 54.75/54.96 (assume @p2431 (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 @t3349)) % 54.75/54.96 (assume @p2432 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop @t2237)) @t1985)) % 54.75/54.96 (assume @p2433 (forall @t3382 (=> @t3381 (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 @t3379) @t1314) @t3353)))) % 54.75/54.96 (assume @p2434 (forall @t3382 (=> @t3381 (= (tptp.hAPP (tptp.c_Set_Oimage @t14 @t420 @t3380) @t3353) @t1314)))) % 54.75/54.96 (assume @p2435 (forall @t504 (= @t2865 (tptp.hAPP @t3384 (tptp.hAPP @t3105 @t2780))))) % 54.75/54.96 (assume @p2436 (forall (@list @t2 @t1314 @t1467 @t14) (=> @t3388 (=> @t2488 (= (tptp.hAPP @t2964 @t2572) (tptp.hAPP @t3386 @t3385)))))) % 54.75/54.96 (assume @p2437 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3389 @t3132)))) % 54.75/54.96 (assume @p2438 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3390 @t3032)))) % 54.75/54.96 (assume @p2439 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3389 @t2994)))) % 54.75/54.96 (assume @p2440 (forall @t1915 (tptp.hBOOL (tptp.hAPP @t3389 @t3391)))) % 54.75/54.96 (assume @p2441 (forall @t1915 (tptp.hBOOL (tptp.hAPP @t3389 @t3244)))) % 54.75/54.96 (assume @p2442 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3390 @t3118)))) % 54.75/54.96 (assume @p2443 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3389 @t3079)))) % 54.75/54.96 (assume @p2444 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3390 @t3099)))) % 54.75/54.96 (assume @p2445 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3390 @t3120)))) % 54.75/54.96 (assume @p2446 (forall @t2997 (tptp.hBOOL (tptp.hAPP @t3389 @t3243)))) % 54.75/54.96 (assume @p2447 (forall (@list @t2575 @t1467 @t54 @t14) (= (tptp.hAPP (tptp.hAPP @t3144 @t3394) @t2575) (tptp.hAPP @t3393 @t3181)))) % 54.75/54.96 (assume @p2448 (forall @t3395 (= (tptp.hAPP @t3158 @t3394) (tptp.hAPP @t3393 @t3159)))) % 54.75/54.96 (assume @p2449 (forall @t3399 (= @t3398 (exists @t566 (forall @t8 (=> @t3397 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t4) @t563)))))))) % 54.75/54.96 (assume @p2450 (forall (@list @t54 @t2574 @t2575 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3400 @t2574)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t3393 @t2575)) (tptp.hAPP @t3393 @t2574)))))) % 54.75/54.96 (assume @p2451 (forall (@list @t52 @t1467 @t1314 @t14) (=> @t2490 (tptp.hBOOL (tptp.hAPP @t2489 @t3402))))) % 54.75/54.96 (assume @p2452 (forall (@list @t54 @t1467 @t14) (tptp.hBOOL (tptp.hAPP @t2487 @t3394)))) % 54.75/54.96 (assume @p2453 (forall @t3399 (= @t3398 (exists @t566 (forall @t8 (=> @t3397 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t4) @t563)))))))) % 54.75/54.96 (assume @p2454 (forall @t3405 (= (tptp.hAPP @t3403 @t3404) @t3404))) % 54.75/54.96 (assume @p2455 (forall @t3408 (= (tptp.hAPP @t3403 @t3407) (tptp.hAPP @t3406 @t3404)))) % 54.75/54.96 (assume @p2456 (forall (@list @t16 @t1314 @t659 @t14) (= (tptp.hBOOL (tptp.hAPP @t3407 @t16)) (or @t3409 @t3161)))) % 54.75/54.96 (assume @p2457 (forall (@list @t1467 @t54 @t2 @t14 @t420) (= (tptp.hAPP @t3055 @t3412) (tptp.hAPP (tptp.hAPP @t3392 @t55) @t3077)))) % 54.75/54.96 (assume @p2458 (forall @t3115 (= (tptp.hBOOL (tptp.hAPP @t3389 @t1314)) (tptp.hBOOL (tptp.hAPP @t3390 @t3057))))) % 54.75/54.96 (assume @p2459 (forall @t3115 (=> @t3125 (= (tptp.hBOOL (tptp.hAPP @t3390 @t1314)) (tptp.hBOOL (tptp.hAPP @t3389 @t3121)))))) % 54.75/54.96 (assume @p2460 (forall @t3418 (=> @t3092 @t3417))) % 54.75/54.96 (assume @p2461 (forall @t3420 (=> @t3092 (=> @t3416 (= @t3419 @t3413))))) % 54.75/54.96 (assume @p2462 (forall @t1915 (= @t3245 (tptp.hAPP @t3421 @t3391)))) % 54.75/54.96 (assume @p2463 (forall @t1915 (= (tptp.hAPP @t3137 @t969) (tptp.hAPP @t3422 @t3244)))) % 54.75/54.96 (assume @p2464 (forall @t3426 (=> @t3425 (= (= (tptp.hAPP @t2964 @t3423) @t19) (forall @t8 (=> @t3424 (= @t6 @t19))))))) % 54.75/54.96 (assume @p2465 (forall @t3429 (= (tptp.hAPP (tptp.hAPP @t3289 @t3428) @t1467) (tptp.hAPP (tptp.hAPP @t3144 @t3427) @t3309)))) % 54.75/54.96 (assume @p2466 (forall @t3435 (=> @t3092 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP (tptp.hAPP @t3433 @t3430) @t1)) @t2680)) @t1314) (tptp.hAPP @t3431 (tptp.hAPP (tptp.hAPP @t3088 @t2680) @t1314))))))) % 54.75/54.96 (assume @p2467 (forall @t3047 (tptp.hBOOL (tptp.hAPP @t3390 @t3046)))) % 54.75/54.96 (assume @p2468 (forall @t379 (=> @t1076 (= @t2971 (tptp.hAPP (tptp.hAPP @t3383 @t436) @t2940))))) % 54.75/54.96 (assume @p2469 (forall @t3126 (=> @t3415 (= (= @t2965 @t315) (exists @t8 (and @t3087 (= @t6 @t315) @t3440)))))) % 54.75/54.96 (assume @p2470 (forall @t3126 (=> @t3415 (= (= @t2965 @t821) (exists @t8 (and @t3087 @t3441 @t3440)))))) % 54.75/54.96 (assume @p2471 (forall @t3443 (=> @t3381 (= (= @t3442 (tptp.hAPP @t3380 @t659)) @t678)))) % 54.75/54.96 (assume @p2472 (forall @t3444 (=> @t3381 (= (tptp.hAPP @t3379 @t3442) @t16)))) % 54.75/54.96 (assume @p2473 (forall @t3288 (=> @t3448 (=> @t3415 (=> @t2488 (= (tptp.hAPP @t3090 @t2572) (tptp.hAPP @t3447 @t3445))))))) % 54.75/54.96 (assume @p2474 (forall @t3210 (=> @t3388 (=> @t2490 (=> @t3450 @t2588))))) % 54.75/54.96 (assume @p2475 (forall @t3210 (=> @t3388 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t3453) @t3451))))) % 54.75/54.96 (assume @p2476 (forall @t3210 (=> @t3388 (=> @t2488 (= @t3451 @t3453))))) % 54.75/54.96 (assume @p2477 (forall @t2491 (=> @t3415 @t3454))) % 54.75/54.96 (assume @p2478 (forall @t3457 (=> @t3415 @t3456))) % 54.75/54.96 (assume @p2479 (forall @t3460 (=> @t3425 (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP @t3458 @t3423)))))) % 54.75/54.96 (assume @p2480 (not (tptp.hBOOL (tptp.hAPP @t3390 (tptp.c_Orderings_Otop__class_Otop @t2377))))) % 54.75/54.96 (assume @p2481 (forall @t1799 (= @t3462 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2706) @t285) (tptp.hAPP (tptp.c_Set_Oimage @t14 @t2706 @t292) @t3353))))) % 54.75/54.96 (assume @p2482 (forall @t2584 (=> @t3463 @t3415))) % 54.75/54.96 (assume @p2483 (= (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))) @t821)) % 54.75/54.96 (assume @p2484 (not (tptp.hBOOL (tptp.hAPP @t3389 @t3349)))) % 54.75/54.96 (assume @p2485 (forall @t3464 (= @t3456 @t3415))) % 54.75/54.96 (assume @p2486 (forall @t2491 (=> @t2490 (=> @t3388 @t3415)))) % 54.75/54.96 (assume @p2487 (forall @t3210 (=> @t3388 (=> @t2490 @t3415)))) % 54.75/54.96 (assume @p2488 (forall @t1799 (=> @t3463 @t3465))) % 54.75/54.96 (assume @p2489 (forall @t1799 (= (tptp.hBOOL (tptp.hAPP @t3466 @t3462)) @t3465))) % 54.75/54.96 (assume @p2490 (forall @t3471 (= (tptp.hBOOL (tptp.hAPP @t3470 @t3469)) (and @t3465 @t3467)))) % 54.75/54.96 (assume @p2491 (forall @t3471 (=> @t3473 @t3467))) % 54.75/54.96 (assume @p2492 (forall @t3471 (=> @t3465 (=> @t3467 (tptp.hBOOL (tptp.hAPP @t3476 @t3475)))))) % 54.75/54.96 (assume @p2493 (forall @t3480 (=> @t3425 (=> @t3479 @t3478)))) % 54.75/54.96 (assume @p2494 (forall @t3480 (= @t3478 (and @t3425 @t3479)))) % 54.75/54.96 (assume @p2495 (forall @t3210 (=> @t3388 (= @t3454 @t3415)))) % 54.75/54.96 (assume @p2496 (forall @t3483 (=> @t3415 (= @t3482 @t3481)))) % 54.75/54.96 (assume @p2497 (forall (@list @t2 @t1467 @t420 @t1314 @t14) (=> @t3415 (=> @t3486 @t3484)))) % 54.75/54.96 (assume @p2498 (forall @t3395 (= (tptp.hBOOL (tptp.hAPP @t3387 @t3487)) @t3454))) % 54.75/54.96 (assume @p2499 (forall @t2584 @t3489)) % 54.75/54.96 (assume @p2500 (forall @t2584 (=> @t3465 (=> (= @t3113 @t3490) (= @t1314 @t3353))))) % 54.75/54.96 (assume @p2501 (forall @t2584 (=> @t3415 (= (tptp.hBOOL (tptp.hAPP @t3387 @t2583)) @t3465)))) % 54.75/54.96 (assume @p2502 (forall (@list @t2 @t579 @t1 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3387 (tptp.hAPP @t3491 @t3357))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t579) (tptp.hAPP (tptp.c_Set_Oimage @t420 @t579 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t579 @t420) @t2) @t1)) @t3357)))))) % 54.75/54.96 (assume @p2503 (forall @t2584 (=> @t3492 @t3415))) % 54.75/54.96 (assume @p2504 (forall @t3495 (=> @t3415 (tptp.hBOOL (tptp.hAPP @t3494 @t3493))))) % 54.75/54.96 (assume @p2505 (forall @t3210 (=> @t3388 (=> @t2490 (tptp.hBOOL (tptp.hAPP @t3494 @t3449)))))) % 54.75/54.96 (assume @p2506 (forall @t3210 (=> @t3388 (=> @t2490 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t3449) @t3113)) @t2486))))) % 54.75/54.96 (assume @p2507 (forall @t3497 (=> @t3415 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t3496) @t3113))))) % 54.75/54.96 (assume @p2508 (forall @t3210 (=> @t3388 (=> @t2588 @t3450)))) % 54.75/54.96 (assume @p2509 (forall @t1799 (=> @t3465 (tptp.hBOOL (tptp.hAPP @t449 @t3490))))) % 54.75/54.96 (assume @p2510 (forall @t3471 (=> @t3473 (=> (not (= (tptp.hAPP @t3116 @t3357) @t315)) @t3465)))) % 54.75/54.96 (assume @p2511 (forall (@list @t16 @t659 @t51) (and (=> @t3502 (= @t3500 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP @t1511 @t51)) (tptp.hAPP (tptp.hAPP @t1445 @t659) @t51)))) (=> (not @t3502) (and (=> @t660 (= @t3500 @t3501)) (=> (not @t660) (= @t3500 @t3498))))))) % 54.75/54.96 (assume @p2512 (forall @t3507 (=> (and @t3092 @t3506) (=> @t3388 (=> @t2490 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3209)) (tptp.hBOOL (tptp.hAPP @t3505 @t6)))) @t3504)))))) % 54.75/54.96 (assume @p2513 (forall @t3483 (and (=> @t3510 @t3513) (=> (not @t3510) (= @t3509 @t19))))) % 54.75/54.96 (assume @p2514 (forall @t1799 (tptp.hBOOL (tptp.hAPP @t3387 @t3514)))) % 54.75/54.96 (assume @p2515 (forall @t2584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3514) @t1314)))) % 54.75/54.96 (assume @p2516 (forall @t3464 (not (= @t3514 @t3455)))) % 54.75/54.96 (assume @p2517 (forall @t3464 (not (= @t3455 @t3514)))) % 54.75/54.96 (assume @p2518 (forall @t864 (= (= @t3517 (tptp.hAPP @t3515 (tptp.hAPP (tptp.hAPP @t3392 @t859) @t3514))) (or @t2990 (and (= @t54 @t859) @t328))))) % 54.75/54.96 (assume @p2519 (forall @t771 (=> (= @t3518 @t3516) @t767))) % 54.75/54.96 (assume @p2520 (forall @t2491 (= (= @t3159 @t3514) (and @t3520 @t3519)))) % 54.75/54.96 (assume @p2521 (forall @t2584 (= (tptp.hAPP @t3158 @t3514) @t1314))) % 54.75/54.96 (assume @p2522 (forall @t3354 (= (tptp.hAPP (tptp.hAPP @t3144 @t3514) @t1467) @t1467))) % 54.75/54.96 (assume @p2523 (forall @t2584 (= (tptp.hBOOL (tptp.hAPP @t2489 @t3514)) @t3520))) % 54.75/54.96 (assume @p2524 (forall @t3356 (=> (tptp.class_Orderings_Obot @t14) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t1316) @t16) @t3521)))) % 54.75/54.96 (assume @p2525 (forall @t3524 (= (= @t3508 (tptp.c_Orderings_Obot__class_Obot @t3468)) (and @t3520 @t3523)))) % 54.75/54.96 (assume @p2526 (forall @t2584 (= (tptp.hAPP (tptp.hAPP @t2570 @t3514) @t1314) @t3514))) % 54.75/54.96 (assume @p2527 (forall @t2584 (= (tptp.hAPP @t2571 @t3514) @t1314))) % 54.75/54.96 (assume @p2528 (forall @t2584 (= (tptp.hAPP @t2571 @t1314) @t3514))) % 54.75/54.96 (assume @p2529 (forall @t3367 (= (= @t3066 @t3514) @t3525))) % 54.75/54.96 (assume @p2530 (forall @t3526 (= (tptp.hAPP @t3055 @t3522) @t3514))) % 54.75/54.96 (assume @p2531 (forall @t2791 (= (= @t3514 @t3066) @t3525))) % 54.75/54.96 (assume @p2532 (forall @t2584 (not (tptp.hBOOL (tptp.hAPP @t2587 @t3514))))) % 54.75/54.96 (assume @p2533 (forall @t1799 (not (= @t3353 @t3514)))) % 54.75/54.96 (assume @p2534 (forall @t291 (=> (tptp.class_Orderings_Obot @t289) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t3527) @t288))))) % 54.75/54.96 (assume @p2535 (forall @t3531 (=> @t3287 (=> @t3530 (= (tptp.hAPP @t3285 @t3529) @t3254))))) % 54.75/54.96 (assume @p2536 (forall @t3524 (= (= @t3514 @t3309) @t3532))) % 54.75/54.96 (assume @p2537 (forall (@list @t1314 @t14 @t420) (= (tptp.hAPP @t3308 (tptp.hAPP @t3533 @t3514)) @t3514))) % 54.75/54.96 (assume @p2538 (forall @t3537 (and (=> @t3520 (= @t3536 @t3522)) (=> @t3530 (= @t3536 @t51))))) % 54.75/54.96 (assume @p2539 (forall @t3538 (= (= @t3309 @t3514) @t3532))) % 54.75/54.96 (assume @p2540 (forall @t291 (=> @t3539 (= (tptp.hAPP (tptp.hAPP @t3188 @t3527) @t288) @t288)))) % 54.75/54.96 (assume @p2541 (forall @t291 (=> @t3539 (= (tptp.hAPP @t3191 @t3527) @t288)))) % 54.75/54.96 (assume @p2542 (forall @t705 (=> (tptp.class_Lattices_Obounded__lattice__bot @t14) (= (= @t3226 @t3521) (and (= @t16 @t3521) (= @t659 @t3521)))))) % 54.75/54.96 (assume @p2543 (forall @t3524 (= @t3540 @t3510))) % 54.75/54.96 (assume @p2544 (forall @t3483 (=> @t3415 (=> @t3484 @t3540)))) % 54.75/54.96 (assume @p2545 (forall @t3524 (=> @t3540 @t3415))) % 54.75/54.96 (assume @p2546 (forall @t3524 (=> @t3540 @t3484))) % 54.75/54.96 (assume @p2547 (forall @t3471 (= (tptp.c_Sum__Type_OPlus @t14 @t420 @t3353 @t3357) @t3469))) % 54.75/54.96 (assume @p2548 (forall @t3541 (=> @t2866 (= (tptp.hAPP @t2881 @t3522) @t15)))) % 54.75/54.96 (assume @p2549 (forall @t3542 (=> @t2866 (= (tptp.hAPP @t2789 @t3522) @t15)))) % 54.75/54.96 (assume @p2550 (forall @t3495 (=> (tptp.hBOOL (tptp.hAPP @t2489 @t3543)) (or @t3520 (= @t1314 @t3543))))) % 54.75/54.96 (assume @p2551 (forall @t3464 (= @t3455 (tptp.hAPP (tptp.hAPP @t3144 @t3518) @t1314)))) % 54.75/54.96 (assume @p2552 (forall @t771 (=> @t655 (= (= @t3514 @t2954) @t2952)))) % 54.75/54.96 (assume @p2553 (forall @t771 (=> @t655 (= @t3544 @t2952)))) % 54.75/54.96 (assume @p2554 (forall @t417 (=> @t655 (=> @t886 @t3544)))) % 54.75/54.96 (assume @p2555 (forall @t3395 (= @t3487 (tptp.hAPP @t2600 @t3518)))) % 54.75/54.96 (assume @p2556 (forall @t3395 (= @t3487 (tptp.hAPP (tptp.hAPP @t2570 @t3545) @t1467)))) % 54.75/54.96 (assume @p2557 (forall @t3464 (= @t3546 @t3455))) % 54.75/54.96 (assume @p2558 (forall @t417 (=> @t655 (=> @t1167 @t3547)))) % 54.75/54.96 (assume @p2559 (forall @t1799 (= (tptp.hAPP @t3112 @t3514) @t19))) % 54.75/54.96 (assume @p2560 (forall @t771 (=> @t655 (= (= @t3514 @t2992) @t3548)))) % 54.75/54.96 (assume @p2561 (forall @t771 (=> @t655 (= @t3547 @t3548)))) % 54.75/54.96 (assume @p2562 (forall @t2584 (= (tptp.hAPP @t2571 @t3353) @t3514))) % 54.75/54.96 (assume @p2563 (forall @t771 (=> @t655 (=> @t767 (= @t2954 @t3518))))) % 54.75/54.96 (assume @p2564 (forall @t334 (=> @t655 (= (= @t2954 (tptp.hAPP @t3515 @t3514)) @t3549)))) % 54.75/54.96 (assume @p2565 (forall @t392 (=> @t655 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t54 @t54) @t3518)))) % 54.75/54.96 (assume @p2566 (forall @t2584 (= (tptp.hBOOL (tptp.hAPP @t2489 @t2583)) @t3520))) % 54.75/54.96 (assume @p2567 (forall @t1799 (= (tptp.hAPP @t2581 @t3514) @t3353))) % 54.75/54.96 (assume @p2568 (forall @t1799 (= (tptp.hAPP @t2581 @t3353) @t3514))) % 54.75/54.96 (assume @p2569 (forall @t2009 (= (tptp.hAPP @t2998 @t19) @t3498))) % 54.75/54.96 (assume @p2570 (forall @t3553 (=> @t655 (=> @t3552 @t3551)))) % 54.75/54.96 (assume @p2571 (forall @t3556 (=> @t655 (= (= @t3514 @t3550) @t3555)))) % 54.75/54.96 (assume @p2572 (forall @t3556 (=> @t655 (= @t3551 @t3555)))) % 54.75/54.96 (assume @p2573 (forall @t3553 (=> @t655 (=> @t3552 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t349 @t1525) @t3514))))) % 54.75/54.96 (assume @p2574 (= (tptp.hAPP @t2779 @t19) @t3498)) % 54.75/54.96 (assume @p2575 (forall @t3537 (and (=> @t3520 (= @t3557 @t3522)) (=> @t3530 @t3558)))) % 54.75/54.96 (assume @p2576 (forall @t3567 (and (=> @t3565 (= @t3564 @t3522)) (=> @t3566 (= @t3564 @t3561))))) % 54.75/54.96 (assume @p2577 (forall @t2584 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t2359) @t1314) @t3569) @t1314))) % 54.75/54.96 (assume @p2578 (forall @t3567 (and (=> @t3565 (= @t3561 @t3570)) (=> @t3566 (= @t3561 @t3564))))) % 54.75/54.96 (assume @p2579 (forall @t1385 (=> (and @t3572 @t3263) @t3571))) % 54.75/54.96 (assume @p2580 (forall @t1412 (= @t3571 @t3263))) % 54.75/54.96 (assume @p2581 (forall @t1412 (= (= @t3498 @t3265) @t3263))) % 54.75/54.96 (assume @p2582 (forall @t3575 (and (=> @t3565 (= @t3574 @t3522)) (=> @t3566 (= @t3574 @t3573))))) % 54.75/54.96 (assume @p2583 (forall @t3575 (and (=> @t3565 (= @t3579 @t3522)) (=> @t3566 (= @t3579 @t3576))))) % 54.75/54.96 (assume @p2584 (forall @t3575 (and (=> @t3565 (= @t3573 @t1314)) (=> @t3566 (= @t3573 @t3574))))) % 54.75/54.96 (assume @p2585 (forall @t3575 (and (=> @t3565 (= @t3576 @t1467)) (=> @t3566 (= @t3576 @t3579))))) % 54.75/54.96 (assume @p2586 (forall @t305 (=> @t1227 (= (tptp.hAPP @t748 @t3360) @t3527)))) % 54.75/54.96 (assume @p2587 (forall @t305 (=> @t1227 (= (tptp.hAPP @t748 @t3527) @t3360)))) % 54.75/54.96 (assume @p2588 (forall @t2584 (= @t3488 (or @t3520 @t3416)))) % 54.75/54.96 (assume @p2589 (forall @t2332 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t2570 @t3580) @t3282) @t3580)))) % 54.75/54.96 (assume @p2590 (forall @t3367 (= @t3066 (tptp.hAPP @t3308 (tptp.hAPP (tptp.hAPP @t3295 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t3293 @t420) @t3392) @t2)) @t3514))))) % 54.75/54.96 (assume @p2591 (forall @t2009 (= (tptp.hAPP @t2998 @t519) (tptp.hAPP (tptp.hAPP @t3383 @t347) @t3498)))) % 54.75/54.96 (assume @p2592 (= (tptp.hAPP @t3137 @t19) @t3501)) % 54.75/54.96 (assume @p2593 (forall (@list @t51 @t52 @t54) (= (= @t3265 (tptp.hAPP (tptp.hAPP @t3383 @t51) @t3498)) @t3549))) % 54.75/54.96 (assume @p2594 (forall @t261 (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat @t2776 @t54 @t54) @t3581))) % 54.75/54.96 (assume @p2595 (forall @t1412 (=> @t767 (= @t3265 @t3581)))) % 54.75/54.96 (assume @p2596 (forall @t3524 (= @t3508 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3468) (tptp.hAPP (tptp.c_Set_Oimage @t14 @t2672 @t444) @t1314)) (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2672 @t442) @t1467))))) % 54.75/54.96 (assume @p2597 (forall @t1915 (= @t3280 (tptp.hAPP (tptp.hAPP @t3582 (tptp.hAPP @t3279 @t349)) (tptp.hAPP @t3421 @t3498))))) % 54.75/54.96 (assume @p2598 (forall @t1915 (= (tptp.hAPP @t3277 @t969) (tptp.hAPP (tptp.hAPP @t3582 @t3278) (tptp.hAPP @t3422 @t3498))))) % 54.75/54.96 (assume @p2599 (forall @t2584 (= @t3492 (and @t3530 @t3415)))) % 54.75/54.96 (assume @p2600 (forall (@list @t1572 @t14) (=> @t704 (= (tptp.hAPP (tptp.hAPP @t3144 @t3232) @t3583) @t3166)))) % 54.75/54.96 (assume @p2601 (forall @t379 (and (=> @t968 (= @t3009 (tptp.hAPP (tptp.hAPP @t3383 @t102) @t2999))) (=> @t1075 (= @t3009 @t3498))))) % 54.75/54.96 (assume @p2602 (forall (@list @t1525 @t14) (=> @t704 (= (tptp.hAPP @t3584 @t3246) @t3253)))) % 54.75/54.96 (assume @p2603 (forall @t3483 (=> @t3415 (=> @t3484 @t3513)))) % 54.75/54.96 (assume @p2604 (forall @t3589 (=> @t3092 (=> @t3415 (= @t3588 @t3587))))) % 54.75/54.96 (assume @p2605 (forall @t3495 (=> @t3415 (= @t3493 @t3591)))) % 54.75/54.96 (assume @p2606 (forall @t3495 (=> @t3415 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t3590) @t3113))))) % 54.75/54.96 (assume @p2607 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3283 @t3583) @t3229))))) % 54.75/54.96 (assume @p2608 (forall @t3170 (=> @t704 (=> @t3169 (= (tptp.hAPP @t3584 @t3141) @t3229))))) % 54.75/54.96 (assume @p2609 (forall @t3170 (=> @t704 (=> @t3234 (= (tptp.hAPP @t3584 @t3233) @t3151))))) % 54.75/54.96 (assume @p2610 (forall @t3170 (=> @t704 (=> @t3234 (= (tptp.hAPP @t3252 @t3583) @t3141))))) % 54.75/54.96 (assume @p2611 (forall @t3495 (=> @t3415 (= @t3493 @t3592)))) % 54.75/54.96 (assume @p2612 (forall (@list @t89 @t14) (= (tptp.c_Set_Othe__elem @t14 @t89) (tptp.c_HOL_OThe @t14 (tptp.hAPP (tptp.hAPP @t3593 (tptp.hAPP tptp.c_fequal @t89)) @t3569))))) % 54.75/54.96 (assume @p2613 (forall @t3595 (=> @t3594 (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat @t2933 @t349 @t1525) @t3498)))) % 54.75/54.96 (assume @p2614 (forall @t18 (= (tptp.c_Set_Othe__elem @t14 @t3543) @t16))) % 54.75/54.96 (assume @p2615 (forall @t18 (= (tptp.c_Option_Oset @t14 @t3596) @t3543))) % 54.75/54.96 (assume @p2616 (tptp.c_Nat__Transfer_Onat__set @t3597)) % 54.75/54.96 (assume @p2617 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t19)) % 54.75/54.96 (assume @p2618 (= @t3597 (tptp.hAPP @t3044 @t3498))) % 54.75/54.96 (assume @p2619 (= @t3498 (tptp.hAPP @t3114 @t3597))) % 54.75/54.96 (assume @p2620 (forall (@list @t434 @t1531) (and (=> @t3600 (= @t3599 @t3597)) (=> (not @t3600) (= @t3599 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) @t434) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint @t3598 @t1531))))))) % 54.75/54.96 (assume @p2621 (forall (@list @t3601 @t14) (= (= @t3602 @t3514) (= @t3601 @t285)))) % 54.75/54.96 (assume @p2622 (forall @t1799 (= (tptp.c_Option_Oset @t14 @t285) @t3514))) % 54.75/54.96 (assume @p2623 (forall @t733 (= @t732 (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2409 @t2232) @t3605) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t2232 @t3604) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3603 (tptp.tc_fun @t2232 @t3604) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t2232 @t2232)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2182 @t3603 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2932 tptp.tc_Nat_Onat) @t3383)) @t1445))) @t3498))))))) % 54.75/54.96 (assume @p2624 (forall @t3495 (=> @t3415 (and @t3609 (=> @t3608 (= @t3590 @t3113)))))) % 54.75/54.96 (assume @p2625 (forall @t3495 (=> @t3415 @t3609))) % 54.75/54.96 (assume @p2626 (forall @t3618 (=> @t3617 (=> @t3616 (= @t3615 @t3613))))) % 54.75/54.96 (assume @p2627 (forall (@list @t51 @t14 @t1467 @t1314) (=> @t2486 (=> @t3625 (not @t3623))))) % 54.75/54.96 (assume @p2628 (forall (@list @t579 @t420 @t51 @t52 @t1467 @t1314 @t54 @t14) (=> @t3632 (=> @t3630 @t3628)))) % 54.75/54.96 (assume @p2629 (forall @t392 (not (tptp.hBOOL (tptp.hAPP @t3631 @t3514))))) % 54.75/54.96 (assume @p2630 (forall @t3636 (=> (=> @t3635 @t767) @t3633))) % 54.75/54.96 (assume @p2631 (forall @t3639 (=> @t3638 (=> @t863 @t3632)))) % 54.75/54.96 (assume @p2632 (forall @t3641 (=> @t2490 @t3640))) % 54.75/54.96 (assume @p2633 (forall @t18 (tptp.hBOOL (tptp.hAPP @t3606 @t3353)))) % 54.75/54.96 (assume @p2634 (forall (@list @t14 @t1314 @t420 @t16 @t2 @t52) (=> @t3645 (=> @t3644 (tptp.hBOOL (tptp.hAPP @t3642 @t3066)))))) % 54.75/54.96 (assume @p2635 (forall @t3647 (=> @t3646 @t3623))) % 54.75/54.96 (assume @p2636 (forall @t3648 (=> (=> @t3624 @t3621) @t3646))) % 54.75/54.96 (assume @p2637 (forall @t3647 (=> @t3649 (not @t3640)))) % 54.75/54.96 (assume @p2638 (forall @t3647 (=> @t3621 (=> @t3624 @t3649)))) % 54.75/54.96 (assume @p2639 (forall @t3651 (=> @t3622 @t3650))) % 54.75/54.96 (assume @p2640 (forall (@list @t420 @t52 @t1467 @t1314 @t54 @t14) (=> @t3632 (=> @t3652 @t3275)))) % 54.75/54.96 (assume @p2641 (forall @t3655 (=> @t3632 (=> @t3654 (tptp.hBOOL (tptp.hAPP @t3653 @t3274)))))) % 54.75/54.96 (assume @p2642 (forall (@list @t579 @t420 @t52 @t54 @t51 @t57 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3657 @t2710)) (tptp.hBOOL (tptp.hAPP @t3657 (tptp.hAPP @t3656 @t2432)))))) % 54.75/54.96 (assume @p2643 (forall (@list @t2 @t579 @t1314 @t52 @t54 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3660 @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3658 @t56) (tptp.hAPP (tptp.c_Set_Oimage @t2437 @t579 @t2775) @t1314)))))) % 54.75/54.96 (assume @p2644 (forall (@list @t1314 @t420 @t1467 @t52 @t14) (=> @t3663 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t3662) (tptp.hAPP @t3661 @t52)) (tptp.c_Sum__Type_OPlus @t420 @t14 @t1314 @t1467)))))) % 54.75/54.96 (assume @p2645 (forall @t3664 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t2672) @t445) @t3508))))) % 54.75/54.96 (assume @p2646 (forall @t2767 (= @t3667 (tptp.hBOOL (tptp.hAPP @t3666 @t3665))))) % 54.75/54.96 (assume @p2647 (forall @t2584 (= (forall @t8 @t3668) @t3520))) % 54.75/54.96 (assume @p2648 (forall @t2584 (= @t3669 @t3530))) % 54.75/54.96 (assume @p2649 (forall (@list @t51 @t14) (not (tptp.hBOOL (tptp.hAPP @t3619 @t3514))))) % 54.75/54.96 (assume @p2650 (forall (@list @t54 @t14 @t1314) (=> @t3520 @t3670))) % 54.75/54.96 (assume @p2651 (forall (@list @t420 @t2 @t52 @t1314 @t16 @t14) (=> @t3607 (=> @t3645 (tptp.hBOOL (tptp.hAPP @t3653 @t3070)))))) % 54.75/54.96 (assume @p2652 (forall @t3671 (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3305 @t615) @t3070))))) % 54.75/54.96 (assume @p2653 (forall (@list @t1314 @t2 @t420 @t57 @t14) (= (tptp.hBOOL (tptp.hAPP @t3657 @t3066)) (exists @t8 (and @t3307 (= @t57 @t6)))))) % 54.75/54.96 (assume @p2654 (forall @t3673 (= (tptp.hBOOL (tptp.hAPP @t3672 @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3016 @t662) @t3057))))) % 54.75/54.96 (assume @p2655 (forall @t3647 (=> @t3649 @t3624))) % 54.75/54.96 (assume @p2656 (forall @t3647 (=> @t3649 @t3621))) % 54.75/54.96 (assume @p2657 (forall @t3647 (= @t3649 (and @t3621 @t3624)))) % 54.75/54.96 (assume @p2658 (forall @t3647 (= @t3646 (or @t3621 @t3620)))) % 54.75/54.96 (assume @p2659 (forall @t3647 (=> @t3621 @t3646))) % 54.75/54.96 (assume @p2660 (forall @t3648 (=> @t3620 @t3646))) % 54.75/54.96 (assume @p2661 (forall @t18 (= (tptp.hBOOL (tptp.hAPP @t3514 @t16)) (tptp.hBOOL (tptp.hAPP @t3606 @t3514))))) % 54.75/54.96 (assume @p2662 (forall (@list @t1572 @t1525 @t3674 @t434 @t14) (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OatLeastAtMost @t14 @t3674 @t1525 @t1572))) (and @t3677 @t3676)))) % 54.75/54.96 (assume @p2663 (forall @t3685 (= (= @t3684 @t3683) @t3679))) % 54.75/54.96 (assume @p2664 (forall @t3688 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3687 @t3684) @t3683) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3666 (tptp.hAPP (tptp.hAPP @t3686 @t2461) @t3133)))))) % 54.75/54.96 (assume @p2665 (forall @t3692 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3691) @t3690)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t2461) @t3133))))) % 54.75/54.96 (assume @p2666 (forall @t3693 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3144 @t3691) @t3690) @t16)) (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP (tptp.hAPP @t3144 @t2461) @t3133)))))) % 54.75/54.96 (assume @p2667 (forall @t3164 (=> @t2490 (=> @t3607 @t3694)))) % 54.75/54.96 (assume @p2668 (forall @t3695 (=> @t3607 (=> @t2490 @t3694)))) % 54.75/54.96 (assume @p2669 (forall @t663 (= (= @t3696 (tptp.hAPP tptp.c_Int_ORep__Integ @t659)) @t678))) % 54.75/54.96 (assume @p2670 (forall @t3405 (= @t3607 @t3161))) % 54.75/54.96 (assume @p2671 (forall (@list @t16 @t14 @t1467 @t1314) (=> @t2486 (= @t3607 @t3694)))) % 54.75/54.96 (assume @p2672 (forall (@list @t1314 @t14 @t659 @t16) (=> @t678 (= @t3607 @t3698)))) % 54.75/54.96 (assume @p2673 (forall @t3700 (=> @t767 (=> @t3699 @t3632)))) % 54.75/54.96 (assume @p2674 (forall @t705 (= (tptp.hBOOL (tptp.hAPP @t3606 @t2758)) @t678))) % 54.75/54.96 (assume @p2675 (forall @t3692 (= (= @t3691 @t3690) @t3679))) % 54.75/54.96 (assume @p2676 (forall @t3651 (= @t3650 @t3622))) % 54.75/54.96 (assume @p2677 (forall @t3651 (=> @t3650 @t3622))) % 54.75/54.96 (assume @p2678 (forall @t3641 (=> @t2588 @t3640))) % 54.75/54.96 (assume @p2679 (forall @t3443 (=> @t3381 (=> @t3644 (=> @t3703 (= (= (tptp.hAPP @t3379 @t16) @t3701) @t678)))))) % 54.75/54.96 (assume @p2680 (forall (@list @t659 @t1314 @t3379 @t3380 @t420 @t14) (=> @t3381 (=> @t3703 (= (tptp.hAPP @t3380 @t3701) @t659))))) % 54.75/54.96 (assume @p2681 (forall @t3444 (=> @t3381 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3305 @t3442) @t1314))))) % 54.75/54.97 (assume @p2682 (forall @t3464 (=> @t3632 (= @t3455 @t1314)))) % 54.75/54.97 (assume @p2683 (forall @t3636 (=> @t3634 @t3633))) % 54.75/54.97 (assume @p2684 (forall @t3695 (=> @t3608 (=> @t3705 (= (= @t3404 @t3704) @t2486))))) % 54.75/54.97 (assume @p2685 (forall @t3639 (= @t3638 @t3706))) % 54.75/54.97 (assume @p2686 (forall @t3707 (tptp.hBOOL (tptp.hAPP @t3631 @t3394)))) % 54.75/54.97 (assume @p2687 (forall @t3618 (=> @t3617 (=> @t3616 (=> (not @t3644) @t3710))))) % 54.75/54.97 (assume @p2688 (forall @t3712 (= (tptp.hBOOL (tptp.hAPP @t3642 @t3309)) (exists @t8 (and @t3307 @t3711))))) % 54.75/54.97 (assume @p2689 (forall (@list @t3423 @t1 @t57 @t2 @t420 @t14) (=> @t3617 (= (tptp.hAPP @t3423 @t3522) @t57)))) % 54.75/54.97 (assume @p2690 (forall @t417 (= @t3714 @t3713))) % 54.75/54.97 (assume @p2691 (forall @t417 (=> @t3714 @t3713))) % 54.75/54.97 (assume @p2692 (forall @t3695 (=> @t3608 (= @t3715 @t2490)))) % 54.75/54.97 (assume @p2693 (forall @t3695 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3404) @t1467)) (and @t3694 @t2490)))) % 54.75/54.97 (assume @p2694 (forall @t3671 (=> @t3607 (= (tptp.hAPP (tptp.hAPP @t3410 @t615) @t3070) @t3070)))) % 54.75/54.97 (assume @p2695 (forall (@list @t420 @t14 @t16 @t2 @t52) (=> @t3645 (tptp.hBOOL (tptp.hAPP @t3642 @t3365))))) % 54.75/54.97 (assume @p2696 (forall (@list @t420 @t16 @t2 @t14) (tptp.hBOOL (tptp.hAPP @t3716 @t3365)))) % 54.75/54.97 (assume @p2697 (forall @t3720 (and @t3719 (=> @t3705 (= @t3718 (tptp.hAPP @t3403 @t2572)))))) % 54.75/54.97 (assume @p2698 (forall @t3720 @t3719)) % 54.75/54.97 (assume @p2699 (forall @t3721 (=> @t2563 (= (tptp.hBOOL (tptp.hAPP @t3678 @t3282)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t434) @t349)))))) % 54.75/54.97 (assume @p2700 (forall (@list @t1572 @t1525 @t3722 @t434 @t14) (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t14 @t3722 @t1525 @t1572))) (and @t3725 @t3724)))) % 54.75/54.97 (assume @p2701 (forall @t3673 (=> @t2098 (=> @t3125 (= @t3726 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2977 @t1049) @t3121))))))) % 54.75/54.97 (assume @p2702 (forall @t3721 (=> @t2563 (= (tptp.hBOOL (tptp.hAPP @t3678 @t3248)) (tptp.hBOOL (tptp.hAPP @t3002 @t349)))))) % 54.75/54.97 (assume @p2703 (forall @t3721 (=> @t2563 (= (tptp.hBOOL (tptp.hAPP @t3678 @t3281)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t349) @t434)))))) % 54.75/54.97 (assume @p2704 (forall @t3721 (=> @t2563 (= (tptp.hBOOL (tptp.hAPP @t3678 @t3249)) (tptp.hBOOL (tptp.hAPP @t3554 @t434)))))) % 54.75/54.97 (assume @p2705 (forall @t663 (=> (tptp.hBOOL (tptp.hAPP @t3672 @t3349)) (=> @t3728 (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t16) @t3727) @t678))))) % 54.75/54.97 (assume @p2706 (forall @t3731 (=> @t3287 (=> @t3730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t3729) (tptp.hAPP @t3285 @t3254))))))) % 54.75/54.97 (assume @p2707 (forall @t1806 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2977 @t2665) @t3349)))) % 54.75/54.97 (assume @p2708 (forall @t3732 (=> @t3125 (=> @t3726 @t2098)))) % 54.75/54.97 (assume @p2709 (forall @t3741 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3627 @t3353) @t3740) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3735 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t3733) @t3353) @t2020)))))) % 54.75/54.97 (assume @p2710 (forall @t3618 (=> @t3617 (=> @t3616 (=> @t3644 (= @t3708 @t3613)))))) % 54.75/54.97 (assume @p2711 (forall @t3743 (=> @t3742 (= (tptp.hAPP @t3273 @t3563) (tptp.hAPP @t3411 @t3274))))) % 54.75/54.97 (assume @p2712 (forall @t3664 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t3427) @t3274))))) % 54.75/54.97 (assume @p2713 (forall @t3747 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3744 @t3746) @t16)) (tptp.hBOOL (tptp.hAPP @t3643 (tptp.hAPP @t3744 @t2020)))))) % 54.75/54.97 (assume @p2714 (forall @t3751 (=> @t3750 (= (tptp.hAPP (tptp.hAPP @t3171 @t3749) @t3748) @t3748)))) % 54.75/54.97 (assume @p2715 (forall (@list @t3601 @t16 @t14) (= (tptp.hBOOL (tptp.hAPP @t3606 @t3602)) (= @t3601 @t3596)))) % 54.75/54.97 (assume @p2716 (forall @t3685 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2733 @t3684) @t3683)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3752 @t2461) @t3133))))) % 54.75/54.97 (assume @p2717 (forall @t3405 (=> @t3608 (= (tptp.hAPP @t3717 @t3543) @t1314)))) % 54.75/54.97 (assume @p2718 (forall @t3464 (=> @t3632 (= @t3546 @t1314)))) % 54.75/54.97 (assume @p2719 (forall @t3732 (=> @t3125 (=> @t3726 @t1051)))) % 54.75/54.97 (assume @p2720 (forall @t3762 (=> @t3092 (=> @t3761 (and (=> @t3758 (= @t3757 @t3760)) (=> @t3759 (= @t3757 @t3413))))))) % 54.75/54.97 (assume @p2721 (forall @t3762 (=> @t3092 (=> @t3761 (and (=> @t3758 (= @t3764 @t3760)) (=> @t3759 (= @t3764 @t3413))))))) % 54.75/54.97 (assume @p2722 (forall (@list @t51 @t420 @t1314 @t16 @t14) (=> @t3607 @t3558))) % 54.75/54.97 (assume @p2723 (forall @t3765 (=> @t3728 (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of @t3727) @t659)))) % 54.75/54.97 (assume @p2724 (forall (@list @t2 @t54 @t3423 @t14 @t420) (=> @t3092 (=> @t3425 (=> (not (tptp.hBOOL (tptp.hAPP @t3631 @t3423))) (= (tptp.hAPP @t3090 (tptp.hAPP @t3393 @t3423)) (tptp.hAPP @t3766 (tptp.hAPP @t3090 @t3423)))))))) % 54.75/54.97 (assume @p2725 (forall @t3767 (=> @t3092 (=> @t3415 (=> @t3608 (= @t3588 (tptp.hAPP @t3586 @t3414))))))) % 54.75/54.97 (assume @p2726 (forall @t3770 (= @t3715 (and (=> @t3607 @t3769) @t3768)))) % 54.75/54.97 (assume @p2727 (forall @t3770 (=> @t3769 (=> @t3607 @t3715)))) % 54.75/54.97 (assume @p2728 (forall @t3495 (=> @t3415 @t3771))) % 54.75/54.97 (assume @p2729 (forall @t3495 (=> @t3415 (and (=> @t3607 (= @t3493 @t3113)) @t3771)))) % 54.75/54.97 (assume @p2730 (forall @t3495 (=> @t3415 (=> @t3608 (= @t3493 (tptp.hAPP @t1137 @t3113)))))) % 54.75/54.97 (assume @p2731 (forall @t3770 (= (tptp.hBOOL (tptp.hAPP @t2587 @t3704)) (and (=> @t3694 @t2588) (=> @t3705 (and (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2586 @t3585) @t1467))) @t3768)))))) % 54.75/54.97 (assume @p2732 (forall (@list @t2 @t1314 @t54 @t14) (and (=> @t3632 (= @t3772 (tptp.hAPP @t3386 @t55))) (=> @t3670 (= @t3772 @t2965))))) % 54.75/54.97 (assume @p2733 (forall @t3774 (=> @t3092 (=> @t3415 (=> @t3632 (= @t3419 (tptp.hAPP @t3766 @t3773))))))) % 54.75/54.97 (assume @p2734 (forall @t3767 (=> @t3092 (=> @t3415 (=> @t3607 (= @t3414 @t3587)))))) % 54.75/54.97 (assume @p2735 (forall @t3774 (=> (tptp.class_Rings_Oring @t420) (=> @t3415 @t3775)))) % 54.75/54.97 (assume @p2736 (forall @t3774 (=> @t3448 (=> @t3415 (and @t3775 (=> @t3670 (= @t3773 @t3419))))))) % 54.75/54.97 (assume @p2737 (forall @t3495 (=> @t3415 (=> @t3607 (= @t3591 @t3113))))) % 54.75/54.97 (assume @p2738 (forall @t3495 (=> @t3415 (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t3590) @t3113)))))) % 54.75/54.97 (assume @p2739 (forall (@list @t659 @t16 @t1314 @t14) (=> @t3415 (=> @t3607 (=> @t3698 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP @t3112 (tptp.hAPP (tptp.hAPP @t2570 @t3585) @t3776))) @t3113))))))) % 54.75/54.97 (assume @p2740 (forall @t3395 (=> @t3415 (=> @t3632 (=> @t3635 (= (tptp.hAPP @t3112 @t3487) (tptp.hAPP (tptp.hAPP @t1445 @t3451) @t821))))))) % 54.75/54.97 (assume @p2741 (forall @t3495 (=> @t3415 (=> @t3607 (= @t3113 @t3592))))) % 54.75/54.97 (assume @p2742 (forall (@list @t659 @t16 @t2461 @t420 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t14 @t420 @t2461) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3666 @t2461))))) % 54.75/54.97 (assume @p2743 (forall @t3126 (=> @t3778 (= (tptp.hAPP (tptp.hAPP @t2961 @t2) @t1314) (tptp.hAPP @t625 (tptp.hAPP (tptp.hAPP @t2963 @t3777) @t1314)))))) % 54.75/54.97 (assume @p2744 (forall @t3781 (=> @t3024 (=> @t3780 (forall @t8 (=> @t3023 (=> @t3027 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t3011) @t104))))))))) % 54.75/54.97 (assume @p2745 (forall @t3784 (=> @t3024 (=> @t3783 (forall @t8 (=> @t3028 (=> @t3013 (tptp.hBOOL (tptp.hAPP @t3012 @t3026))))))))) % 54.75/54.97 (assume @p2746 (forall (@list @t420 @t14 @t1314 @t659 @t16 @t1467) (=> (=> @t3788 @t3786) @t3785))) % 54.75/54.97 (assume @p2747 (forall @t3789 (=> @t3785 (=> (not @t3786) @t3787)))) % 54.75/54.97 (assume @p2748 (forall @t2767 (not @t3667))) % 54.75/54.97 (assume @p2749 (forall (@list @t1467 @t14 @t1314) (=> (= @t1314 @t3793) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t1314) @t1467))))) % 54.75/54.97 (assume @p2750 (forall @t3795 (= @t3628 (exists @t8 (and @t3087 @t3794))))) % 54.75/54.97 (assume @p2751 (forall (@list @t1314 @t420 @t14 @t659 @t16 @t1467) (=> @t3787 @t3785))) % 54.75/54.97 (assume @p2752 (forall (@list @t1467 @t420 @t14 @t659 @t16 @t1314) (=> @t3786 @t3785))) % 54.75/54.97 (assume @p2753 (forall @t2023 (= (tptp.c_Nitpick_Orefl_H @t14 @t2020) (forall @t8 @t3801)))) % 54.75/54.97 (assume @p2754 (forall @t1407 (= (tptp.hBOOL (tptp.hAPP @t3804 (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat @t2933 @t349))) (and @t3803 (not @t3802))))) % 54.75/54.97 (assume @p2755 (forall @t1407 (= (tptp.hBOOL (tptp.hAPP @t3804 (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat @t2933 @t349))) (and @t3802 (not @t3803))))) % 54.75/54.97 (assume @p2756 (forall @t3805 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OlessThan @t14 @t3722 @t349))) (tptp.hBOOL (tptp.hAPP @t3723 @t349))))) % 54.75/54.97 (assume @p2757 (forall @t3805 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OgreaterThan @t14 @t3722 @t349))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3722 @t349) @t434))))) % 54.75/54.97 (assume @p2758 (forall @t3784 (=> @t3024 (=> @t3783 (=> (forall @t8 (=> @t3806 (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP @t3020 @t1467)) (not (= @t104 (tptp.hAPP (tptp.hAPP @t630 @t3014) @t4))))))) (= (tptp.hAPP @t3782 @t2574) @t104)))))) % 54.75/54.97 (assume @p2759 (forall @t3781 (=> @t3024 (=> @t3780 (=> (forall @t8 (=> @t3806 (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP @t3020 @t1314)) (not (= @t104 (tptp.hAPP (tptp.hAPP @t1440 @t3014) @t4))))))) (= (tptp.hAPP @t3779 @t2574) @t104)))))) % 54.75/54.97 (assume @p2760 (forall @t3781 (=> @t3024 (=> @t3808 (forall @t8 (=> @t3023 (=> @t3031 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t3011) @t104))))))))) % 54.75/54.97 (assume @p2761 (forall @t3781 (=> @t3024 (=> @t3808 (forall @t8 (=> @t3023 (=> @t3809 (not (= @t3011 @t104))))))))) % 54.75/54.97 (assume @p2762 (forall @t3784 (=> @t3024 (=> @t3810 (forall @t8 (=> @t3028 (=> @t3809 (not (= @t3026 @t104))))))))) % 54.75/54.97 (assume @p2763 (forall @t3784 (=> @t3024 (=> @t3810 (forall @t8 (=> @t3028 (=> @t3035 (tptp.hBOOL (tptp.hAPP @t3034 @t3026))))))))) % 54.75/54.97 (assume @p2764 (forall (@list @t2 @t659 @t16 @t14) (= (tptp.hBOOL (tptp.hAPP @t3815 @t3813)) @t3811))) % 54.75/54.97 (assume @p2765 (forall @t1407 (= (tptp.hBOOL (tptp.hAPP @t3804 (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat @t2776 @t349))) @t3802))) % 54.75/54.97 (assume @p2766 (forall @t1407 (= (tptp.hBOOL (tptp.hAPP @t3804 (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat @t2776 @t349))) @t3803))) % 54.75/54.97 (assume @p2767 (forall @t3816 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OatLeast @t14 @t3674 @t349))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3674 @t349) @t434))))) % 54.75/54.97 (assume @p2768 (forall @t3816 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OatMost @t14 @t3674 @t349))) (tptp.hBOOL (tptp.hAPP @t3675 @t349))))) % 54.75/54.97 (assume @p2769 (forall @t3822 (=> @t3821 (=> @t3415 (=> @t3607 (and (=> @t3819 (= @t3708 @t16)) (=> @t3820 (= @t3708 @t3818)))))))) % 54.75/54.97 (assume @p2770 (forall @t3824 (=> @t3607 (=> (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t2 @t57 @t3585 @t659) (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t2 @t57 @t1314 @t3823))))) % 54.75/54.97 (assume @p2771 (forall @t3507 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t420) (=> @t3388 (=> @t2490 (=> (forall @t3826 (=> (tptp.hBOOL (tptp.hAPP @t3825 @t3209)) (tptp.hBOOL (tptp.hAPP @t3505 (tptp.hAPP @t2 @t2389))))) @t3504)))))) % 54.75/54.97 (assume @p2772 (forall (@list @t97 @t94 @t420 @t14) (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t94 @t97 @t3514 @t97))) % 54.75/54.97 (assume @p2773 (forall @t3827 (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t2 @t57 @t3514 @t57))) % 54.75/54.97 (assume @p2774 (forall @t3828 (=> @t3821 (= (tptp.hAPP @t3423 @t3543) @t16)))) % 54.75/54.97 (assume @p2775 (forall @t3822 (=> @t3821 (=> @t3415 (=> @t3608 @t3831))))) % 54.75/54.97 (assume @p2776 (forall @t3822 (=> @t3821 (=> @t3415 (and (=> @t3819 (= @t3830 @t16)) (=> @t3820 (= @t3830 @t3818))))))) % 54.75/54.97 (assume @p2777 (forall @t3834 (and (=> @t3833 (= @t3832 @t52)) (=> (not @t3833) (= @t3832 (tptp.c_HOL_OThe @t14 (tptp.hAPP @t3689 (tptp.hAPP @t2571 @t3516)))))))) % 54.75/54.97 (assume @p2778 (forall @t3838 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t615) @t2420)) (=> @t3837 @t3836)))) % 54.75/54.97 (assume @p2779 (forall @t3838 (=> @t3811 @t3836))) % 54.75/54.97 (assume @p2780 (forall (@list @t3839 @t2 @t1314 @t14 @t420) (=> (and @t3506 (tptp.class_Rings_Osemiring__1 @t420)) (=> (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t3841 @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t1837) @t3839)))) (tptp.hBOOL (tptp.hAPP @t3503 (tptp.hAPP (tptp.hAPP @t3840 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat @t420) @t3113)) @t3839))))))) % 54.75/54.97 (assume @p2781 (forall (@list @t349 @t1314 @t14) (= (= @t3113 @t969) (exists (@list @t2389 @t3842) (and (= @t1314 (tptp.hAPP (tptp.hAPP @t3392 @t2389) @t3842)) (not (tptp.hBOOL (tptp.hAPP @t3825 @t3842))) (= (tptp.hAPP @t3112 @t3842) @t349) (=> @t1060 (= @t3842 @t3514))))))) % 54.75/54.97 (assume @p2782 (forall @t3843 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t14 @t3674 @t3722 @t1525 @t1572))) (and @t3725 @t3676)))) % 54.75/54.97 (assume @p2783 (forall @t3595 (=> @t3594 @t3845))) % 54.75/54.97 (assume @p2784 (forall @t1527 (= @t3845 @t3846))) % 54.75/54.97 (assume @p2785 (forall @t1527 (= (= @t3498 @t3844) @t3846))) % 54.75/54.97 (assume @p2786 (forall @t3843 (= (tptp.hBOOL (tptp.hAPP @t3678 (tptp.c_SetInterval_Oord_OatLeastLessThan @t14 @t3674 @t3722 @t1525 @t1572))) (and @t3677 @t3724)))) % 54.75/54.97 (assume @p2787 (forall @t1978 (=> @t1623 (=> (tptp.hBOOL (tptp.hAPP @t1869 @t629)) (tptp.hBOOL (tptp.hAPP @t3848 @t3847)))))) % 54.75/54.97 (assume @p2788 (forall @t1385 (=> @t3572 @t3850))) % 54.75/54.97 (assume @p2789 (forall @t1799 (=> @t437 (tptp.hBOOL (tptp.hAPP @t3851 @t3847))))) % 54.75/54.97 (assume @p2790 (forall @t771 (=> @t437 (=> @t3854 (=> @t3853 (tptp.hBOOL (tptp.hAPP @t3852 @t3847))))))) % 54.75/54.97 (assume @p2791 (forall @t771 (=> @t437 (=> @t3854 (=> @t3853 (tptp.hBOOL (tptp.hAPP @t3855 @t3847))))))) % 54.75/54.97 (assume @p2792 (forall @t1799 (=> @t437 (tptp.hBOOL (tptp.hAPP @t3856 @t3847))))) % 54.75/54.97 (assume @p2793 (forall @t620 (=> @t437 (tptp.hBOOL (tptp.hAPP @t3857 @t3847))))) % 54.75/54.97 (assume @p2794 (forall @t1412 (= (= @t3498 @t3849) @t3858))) % 54.75/54.97 (assume @p2795 (forall @t1412 (= @t3850 @t3858))) % 54.75/54.97 (assume @p2796 (forall (@list @t54 @t89 @t3872 @t2599 @t91 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP @t3878 @t93) (tptp.hAPP @t3877 (tptp.hAPP (tptp.hAPP @t3866 (tptp.hAPP (tptp.hAPP @t3865 (tptp.hAPP @t3864 (tptp.hAPP @t3862 @t3876))) @t89)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Com_Oloc tptp.tc_Nat_Onat) tptp.c_Natural_Ogetlocs) tptp.c_Com_ORes))))) @t3861)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 (tptp.hAPP @t3873 (tptp.hAPP @t3871 (tptp.hAPP (tptp.hAPP @t3866 (tptp.hAPP (tptp.hAPP @t3865 (tptp.hAPP @t3864 (tptp.hAPP @t3862 tptp.c_Natural_Onewlocs))) @t263)) @t54)))) @t92) @t2599)) @t3861))))) % 54.75/54.97 (assume @p2797 (forall @t392 (=> @t562 (=> @t3881 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t3879) @t15)) @t558))))) % 54.75/54.97 (assume @p2798 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3607 (and (=> @t3819 (= @t3883 @t16)) (=> @t3820 (= @t3883 @t3882)))))))) % 54.75/54.97 (assume @p2799 (forall (@list @t3884 @t104 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP @t3885 @t3861)) (=> @t3886 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP @t3885 @t3884)))))) % 54.75/54.97 (assume @p2800 (forall (@list @t87 @t3477 @t14) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP @t3878 tptp.c_Com_Ocom_OSKIP) @t87)) @t3861)))) % 54.75/54.97 (assume @p2801 (forall (@list @t97 @t94 @t14) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t94 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 @t97) tptp.c_Com_Ocom_OSKIP) @t97)) @t3861)))) % 54.75/54.97 (assume @p2802 (forall (@list @t2461 @t859 @t2599 @t51 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 @t3888) @t3861)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 @t2599) @t859) @t2461)) @t3861)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP @t3878 (tptp.c_Com_Ocom_OSemi @t51 @t859)) @t2461)) @t3861)))))) % 54.75/54.97 (assume @p2803 (forall @t392 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t54 @t3861))) % 54.75/54.97 (assume @p2804 (forall (@list @t3477 @t14) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 @t3861))) % 54.75/54.97 (assume @p2805 (forall (@list @t3884 @t3889 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 @t3889) (=> (tptp.hBOOL (tptp.hAPP @t3890 @t3889)) @t3886)))) % 54.75/54.97 (assume @p2806 (forall (@list @t3477 @t3884 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3890 @t3477)) @t3886))) % 54.75/54.97 (assume @p2807 (forall (@list @t109 @t96 @t97 @t94 @t14) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t94 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 (tptp.hAPP (tptp.hAPP @t3870 (tptp.hAPP @t3869 @t97)) (tptp.hAPP (tptp.hAPP @t3866 (tptp.hAPP @t3891 @t96)) @t109))) (tptp.c_Com_Ocom_OAss @t96 @t109)) @t97)) @t3861)))) % 54.75/54.97 (assume @p2808 (forall (@list @t54 @t89 @t87 @t3477 @t14) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 (tptp.hAPP @t3871 (tptp.hAPP (tptp.hAPP @t3866 (tptp.hAPP @t3891 @t89)) @t54))) @t103) @t87)) @t3861)))) % 54.75/54.97 (assume @p2809 (forall (@list @t3477 @t3884 @t3892 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3892 @t3884) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 @t3892) @t3886)))) % 54.75/54.97 (assume @p2810 (forall (@list @t3893 @t171 @t3895 @t3894 @t165 @t3896 @t14) (= (= @t3897 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 @t3895) @t171) @t3893)) (and (= @t3896 @t3895) @t172 (= @t3894 @t3893))))) % 54.75/54.97 (assume @p2811 (forall @t18 (=> @t3186 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3543) @t16)))) % 54.75/54.97 (assume @p2812 (forall (@list @t3898 @t2599 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t3860) @t3477) @t3903) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname @t3859 (tptp.hAPP (tptp.hAPP @t3902 (tptp.hAPP @t3901 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) @t221) tptp.c_Com_Obody))) @t2599)) @t3898)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 @t3903)))) % 54.75/54.97 (assume @p2813 (forall @t1799 (=> @t2331 (tptp.hBOOL (tptp.hAPP @t3851 @t3880))))) % 54.75/54.97 (assume @p2814 (forall @t771 (=> @t2331 (=> @t3881 (=> @t3904 (tptp.hBOOL (tptp.hAPP @t3852 @t3880))))))) % 54.75/54.97 (assume @p2815 (forall @t771 (=> @t2331 (=> @t3881 (=> @t3904 (tptp.hBOOL (tptp.hAPP @t3855 @t3880))))))) % 54.75/54.97 (assume @p2816 (forall @t771 (=> @t2331 (=> @t3881 (=> @t3904 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t1463) @t3880))))))) % 54.75/54.97 (assume @p2817 (forall @t1978 (=> @t1623 (tptp.hBOOL (tptp.hAPP @t3848 @t3880))))) % 54.75/54.97 (assume @p2818 (forall @t1799 (=> @t2331 (tptp.hBOOL (tptp.hAPP @t3856 @t3880))))) % 54.75/54.97 (assume @p2819 (forall @t392 (=> @t2331 (=> @t3881 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t815) @t3880)))))) % 54.75/54.97 (assume @p2820 (forall (@list @t54 @t3872 @t89 @t2599 @t51 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP @t3887 (tptp.hAPP @t3877 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Com_Ostate tptp.tc_Nat_Onat tptp.tc_Com_Ostate) @t3905) (tptp.hAPP @t3876 @t89))))) @t3861)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 (tptp.hAPP @t3873 (tptp.hAPP @t3871 (tptp.hAPP (tptp.hAPP @t3866 @t3905) @t54)))) (tptp.c_Com_Ocom_OLocal @t89 @t54 @t51)) @t2599)) @t3861))))) % 54.75/54.97 (assume @p2821 (forall @t620 (=> @t2331 (tptp.hBOOL (tptp.hAPP @t3857 @t3880))))) % 54.75/54.97 (assume @p2822 (forall @t1782 (=> @t2331 (=> @t3881 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t1780) @t3880)))))) % 54.75/54.97 (assume @p2823 (forall @t720 (=> @t2331 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t719) @t3880))))) % 54.75/54.97 (assume @p2824 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3607 (= @t3906 @t3883)))))) % 54.75/54.97 (assume @p2825 (forall @t392 (=> @t801 (=> @t3881 @t418)))) % 54.75/54.97 (assume @p2826 (forall @t3495 (=> @t3186 (=> @t3415 @t3908)))) % 54.75/54.97 (assume @p2827 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t3185 @t3909) @t3883) @t3883))))))) % 54.75/54.97 (assume @p2828 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t3913))))))) % 54.75/54.97 (assume @p2829 (forall @t392 (=> @t801 (=> @t3881 (not (= @t3879 @t15)))))) % 54.75/54.97 (assume @p2830 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3608 @t3908))))) % 54.75/54.97 (assume @p2831 (forall @t3495 (=> @t3186 (=> @t3415 (and (=> @t3819 (= @t3907 @t16)) (=> @t3820 (= @t3907 @t3882))))))) % 54.75/54.97 (assume @p2832 (forall (@list @t3894 @t165 @t3896 @t286 @t14) (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__size @t14 @t286 @t3897) @t19))) % 54.75/54.97 (assume @p2833 (forall (@list @t51) (= (tptp.c_Hoare__Mirabelle_OMGT @t51) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) tptp.c_fequal) @t51) @t178)))) % 54.75/54.97 (assume @p2834 (forall (@list @t3894 @t165 @t3896 @t14) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t3859) @t3897) @t19))) % 54.75/54.97 (assume @p2835 (forall @t3916 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t420 @t14 @t49 @t3915) @t3914))) % 54.75/54.97 (assume @p2836 (forall @t3916 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t420 @t14 @t49 @t3915) @t3914))) % 54.75/54.97 (assume @p2837 (forall @t2584 (=> @t3186 (=> @t3415 (=> @t3530 (=> (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3919) @t3918))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3883) @t1314)))))))) % 54.75/54.97 (assume @p2838 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (and (=> @t3819 @t3922) (=> @t3820 (= @t3921 @t3920)))))))) % 54.75/54.97 (assume @p2839 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (and (=> @t3819 @t3925) (=> @t3820 (= @t3924 @t3923)))))))) % 54.75/54.97 (assume @p2840 (forall @t3928 (=> @t391 (=> @t3761 (=> @t3927 (= (tptp.hAPP @t758 (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3133)) (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3926))))))) % 54.75/54.97 (assume @p2841 (forall @t3928 (=> @t391 (=> @t3761 (=> @t3927 (= (tptp.hAPP @t758 (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3133)) (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3926))))))) % 54.75/54.97 (assume @p2842 (forall @t18 (=> @t704 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3543) @t16)))) % 54.75/54.97 (assume @p2843 (forall @t18 (=> @t704 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3543) @t16)))) % 54.75/54.97 (assume @p2844 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t3924) @t16))))))) % 54.75/54.97 (assume @p2845 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (tptp.hBOOL (tptp.hAPP @t1026 @t3921))))))) % 54.75/54.97 (assume @p2846 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 @t3929))))) % 54.75/54.97 (assume @p2847 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 @t3930))))) % 54.75/54.97 (assume @p2848 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (= @t3931 @t3924)))))) % 54.75/54.97 (assume @p2849 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (= @t3932 @t3921)))))) % 54.75/54.97 (assume @p2850 (forall @t3937 (=> @t704 (=> @t3936 (=> @t3935 (=> @t3934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3254)) @t3933)))))))) % 54.75/54.97 (assume @p2851 (forall @t3937 (=> @t704 (=> @t3936 (=> @t3935 (=> @t3934 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t3938) (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3254))))))))) % 54.75/54.97 (assume @p2852 (forall @t3495 (=> @t704 (=> @t3415 @t3940)))) % 54.75/54.97 (assume @p2853 (forall @t3495 (=> @t704 (=> @t3415 @t3942)))) % 54.75/54.97 (assume @p2854 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t2506 @t3943) @t3924) @t3924))))))) % 54.75/54.97 (assume @p2855 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t2630 @t3944) @t3921) @t3921))))))) % 54.75/54.97 (assume @p2856 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t3947))))))) % 54.75/54.97 (assume @p2857 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t3950))))))) % 54.75/54.97 (assume @p2858 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 @t3940))))) % 54.75/54.97 (assume @p2859 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 @t3942))))) % 54.75/54.97 (assume @p2860 (forall @t3495 (=> @t704 (=> @t3415 (and (=> @t3819 (= @t3939 @t16)) (=> @t3820 (= @t3939 @t3923))))))) % 54.75/54.97 (assume @p2861 (forall @t3495 (=> @t704 (=> @t3415 (and (=> @t3819 (= @t3941 @t16)) (=> @t3820 (= @t3941 @t3920))))))) % 54.75/54.97 (assume @p2862 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3952 @t3930)))))) % 54.75/54.97 (assume @p2863 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3954 @t3929)))))) % 54.75/54.97 (assume @p2864 (forall (@list @t150 @t94 @t97 @t109 @t96 @t420 @t14) (= (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t96 @t109 @t97 @t3956) (or (and @t3957 (= @t3956 @t109)) (exists @t2496 (and (= @t3956 (tptp.hAPP (tptp.hAPP @t96 @t4) @t257)) (tptp.hBOOL (tptp.hAPP @t3086 @t97)) (tptp.c_Nitpick_Ofold__graph_H @t14 @t420 @t96 @t109 (tptp.hAPP (tptp.hAPP @t2570 @t97) @t3955) @t257))))))) % 54.75/54.97 (assume @p2865 (forall (@list @t98 @t2020 @t461 @t300 @t52 @t54 @t420 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3963 (tptp.hAPP (tptp.hAPP @t3962 @t2402) @t2427)) (tptp.c_Wellfounded_Olex__prod @t14 @t420 @t2020 @t98))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3961 @t300)) @t2020)) (and @t301 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP @t3958 @t52) @t461)) @t98))))))) % 54.75/54.97 (assume @p2866 (forall @t2491 (= (tptp.hBOOL (tptp.hAPP @t3968 @t3964)) (and @t2588 @t3388)))) % 54.75/54.97 (assume @p2867 (forall (@list @t2599 @t51 @t87 @t102 @t14) (= (tptp.c_Hoare__Mirabelle_Otriple__valid @t14 @t102 @t3888) (forall @t3973 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t3970) @t3971)) (forall @t3972 (=> (tptp.c_Natural_Oevaln @t51 @t3971 @t102 @t3969) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2599 @t3970) @t3969))))))))) % 54.75/54.97 (assume @p2868 (forall (@list @t14 @t2461 @t659 @t3975 @t420 @t16 @t87) (=> @t2739 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP @t3958 @t3975) @t659)) @t3976)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3963 (tptp.hAPP (tptp.hAPP @t3962 (tptp.hAPP @t2421 @t3975)) @t2757)) @t3974)))))) % 54.75/54.97 (assume @p2869 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (and (=> @t3819 (= @t3978 @t16)) (=> @t3820 (= @t3978 @t3977)))))))) % 54.75/54.97 (assume @p2870 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (and (=> @t3819 (= @t3980 @t16)) (=> @t3820 (= @t3980 @t3979)))))))) % 54.75/54.97 (assume @p2871 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t3980) @t3978))))))) % 54.75/54.97 (assume @p2872 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (= @t3981 @t3980)))))) % 54.75/54.97 (assume @p2873 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3607 (= @t3982 @t3978)))))) % 54.75/54.97 (assume @p2874 (forall @t18 (=> @t704 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3543) @t16)))) % 54.75/54.97 (assume @p2875 (forall @t18 (=> @t704 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3543) @t16)))) % 54.75/54.97 (assume @p2876 (forall @t3495 (=> @t704 (=> @t3415 @t3984)))) % 54.75/54.97 (assume @p2877 (forall @t3495 (=> @t704 (=> @t3415 @t3986)))) % 54.75/54.97 (assume @p2878 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t2506 @t3987) @t3980) @t3980))))))) % 54.75/54.97 (assume @p2879 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t2630 @t3988) @t3978) @t3978))))))) % 54.75/54.97 (assume @p2880 (forall @t3457 (=> @t704 (=> @t3415 (=> @t3632 (= (tptp.hAPP @t3989 @t3978) @t54)))))) % 54.75/54.97 (assume @p2881 (forall @t3457 (=> @t704 (=> @t3415 (=> @t3632 (= (tptp.hAPP @t3990 @t3980) @t54)))))) % 54.75/54.97 (assume @p2882 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t3993))))))) % 54.75/54.97 (assume @p2883 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t3996))))))) % 54.75/54.97 (assume @p2884 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 @t3984))))) % 54.75/54.97 (assume @p2885 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 @t3986))))) % 54.75/54.97 (assume @p2886 (forall @t3495 (=> @t704 (=> @t3415 (and (=> @t3819 (= @t3983 @t16)) (=> @t3820 (= @t3983 @t3979))))))) % 54.75/54.97 (assume @p2887 (forall @t3495 (=> @t704 (=> @t3415 (and (=> @t3819 (= @t3985 @t16)) (=> @t3820 (= @t3985 @t3977))))))) % 54.75/54.97 (assume @p2888 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3952 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3978) @t1314)))))))) % 54.75/54.97 (assume @p2889 (forall @t2584 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3954 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3980) @t1314)))))))) % 54.75/54.97 (assume @p2890 (forall @t3997 (=> @t3821 (=> @t3415 (=> @t3530 (=> (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t2755) @t3918))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t3708) @t1314)))))))) % 54.75/54.97 (assume @p2891 (forall (@list @t659 @t2 @t420 @t1314 @t16 @t14) (and (=> @t3607 (= @t4002 (tptp.hAPP (tptp.hAPP @t3410 @t659) (tptp.hAPP @t3068 @t3585)))) (=> @t3608 (= @t4002 @t3070))))) % 54.75/54.97 (assume @p2892 (forall (@list @t51 @t52 @t54 @t3133 @t14 @t420) (=> @t4008 (=> @t3761 (and (=> @t3758 (= @t4007 (tptp.hAPP (tptp.hAPP @t3840 @t3760) (tptp.hAPP @t4005 (tptp.hAPP (tptp.hAPP @t1445 @t4003) @t821))))) (=> @t3759 (= @t4007 (tptp.hAPP @t4005 @t4003)))))))) % 54.75/54.97 (assume @p2893 (forall (@list @t434 @t1467 @t2 @t98 @t14 @t420) (=> @t4014 (=> @t4013 (=> @t4012 (=> (= @t4011 @t1467) (=> @t4010 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t4009) @t1467))))))))) % 54.75/54.97 (assume @p2894 (forall @t4015 (= (tptp.hAPP @t4000 @t615) @t2))) % 54.75/54.97 (assume @p2895 (forall @t2966 (=> @t3083 (= (tptp.hAPP (tptp.hAPP @t4017 @t2) @t1314) (tptp.hAPP (tptp.hAPP @t4016 @t2317) @t3057))))) % 54.75/54.97 (assume @p2896 (forall @t2791 (=> @t2091 (= (tptp.hAPP @t1631 @t4020) (tptp.hAPP (tptp.hAPP @t4018 @t2786) @t1314))))) % 54.75/54.97 (assume @p2897 (forall @t2791 (=> (and @t3082 @t2331) (= (tptp.hAPP @t718 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t420 tptp.tc_Int_Oint) @t2) @t1314)) (tptp.hAPP (tptp.hAPP @t4018 @t2868) @t1314))))) % 54.75/54.97 (assume @p2898 (forall @t2966 (= @t4025 (tptp.hAPP tptp.c_Int_Onat @t4022)))) % 54.75/54.97 (assume @p2899 (forall @t2966 (= (tptp.hAPP @t625 @t4025) @t4022))) % 54.75/54.97 (assume @p2900 (forall @t2791 (=> (and @t3082 @t437) (= (tptp.hAPP @t617 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t420 tptp.tc_Nat_Onat) @t2) @t1314)) (tptp.hAPP (tptp.hAPP @t4018 @t2858) @t1314))))) % 54.75/54.97 (assume @p2901 (forall @t2880 (=> @t3082 (= (tptp.hAPP (tptp.hAPP @t4018 (tptp.hAPP @t2557 @t757)) @t1314) @t757)))) % 54.75/54.97 (assume @p2902 (forall @t2886 (=> @t3082 (= (tptp.hAPP (tptp.hAPP @t4018 (tptp.hAPP (tptp.hAPP @t2884 @t2887) @t1)) @t1314) (tptp.hAPP (tptp.hAPP @t761 @t4020) (tptp.hAPP @t4026 @t1314)))))) % 54.75/54.97 (assume @p2903 (forall @t4028 (= (= @t4001 @t2) @t4027))) % 54.75/54.97 (assume @p2904 (forall @t4029 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3998 @t4001) @t16) @t57) (tptp.hAPP @t4000 @t57)))) % 54.75/54.97 (assume @p2905 (forall (@list @t659 @t16 @t2 @t14 @t420) (= (tptp.hAPP @t4030 @t16) @t659))) % 54.75/54.97 (assume @p2906 (forall @t4035 (and (=> @t4033 (= @t4032 @t659)) @t4034))) % 54.75/54.97 (assume @p2907 (forall (@list @t859 @t52 @t347 @t420 @t14 @t51 @t54) (=> (not @t2989) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3998 (tptp.hAPP (tptp.hAPP @t4036 @t54) @t52)) @t51) @t859) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3998 (tptp.hAPP (tptp.hAPP @t4036 @t51) @t859)) @t54) @t52))))) % 54.75/54.97 (assume @p2908 (forall @t4035 @t4034)) % 54.75/54.97 (assume @p2909 (forall (@list @t14 @t420 @t659 @t16 @t2) (=> @t4027 (= @t4030 @t2)))) % 54.75/54.97 (assume @p2910 (forall (@list @t52 @t2 @t420 @t14 @t54 @t16) (and (=> @t4038 (= @t4037 @t52)) (=> @t4039 (= @t4037 @t615))))) % 54.75/54.97 (assume @p2911 (forall @t3420 (=> @t4045 (=> @t3415 (=> @t4044 @t4042))))) % 54.75/54.97 (assume @p2912 (forall @t3420 (=> (and @t4045 (tptp.class_Rings_Ono__zero__divisors @t420)) (=> @t3415 (= @t4042 @t4044))))) % 54.75/54.97 (assume @p2913 (forall @t3541 (=> @t3082 (= (tptp.hAPP @t4026 @t3522) @t757)))) % 54.75/54.97 (assume @p2914 (forall @t3542 (=> @t3082 (= (tptp.hAPP @t4019 @t3522) @t757)))) % 54.75/54.97 (assume @p2915 (forall @t3418 (=> @t4008 @t4049))) % 54.75/54.97 (assume @p2916 (forall @t3420 (=> @t4008 (=> @t3416 (= @t4041 @t4046))))) % 54.75/54.97 (assume @p2917 (forall @t3426 (=> @t3425 (= (= (tptp.hAPP @t4024 @t3423) @t821) (forall @t8 (=> @t3424 @t3441)))))) % 54.75/54.97 (assume @p2918 (forall @t3126 (=> @t3083 (=> @t3125 (= @t4050 (tptp.hAPP (tptp.hAPP @t4017 @t3122) @t3121)))))) % 54.75/54.97 (assume @p2919 (forall @t3435 (=> @t4008 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t4006 @t4052) @t1314) (tptp.hAPP @t4051 (tptp.hAPP (tptp.hAPP @t4006 @t2680) @t1314))))))) % 54.75/54.97 (assume @p2920 (forall @t4055 (=> (tptp.class_Fields_Ofield__inverse__zero @t420) (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP (tptp.hAPP @t3433 @t4053) @t2)) @t1)) @t1314) (tptp.hAPP @t4054 @t4048)))))) % 54.75/54.97 (assume @p2921 (forall (@list @t2 @t434 @t1314 @t14 @t420) (=> @t4045 (=> @t3415 (=> @t3730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4056 @t4009) @t4041))))))) % 54.75/54.97 (assume @p2922 (forall @t4060 (=> @t3761 (= @t4059 @t4058)))) % 54.75/54.97 (assume @p2923 (forall @t3507 (=> (and @t4008 (tptp.class_Rings_Odvd @t420)) (=> @t3388 (=> @t2490 (tptp.hBOOL (tptp.hAPP @t4062 @t4061))))))) % 54.75/54.97 (assume @p2924 (forall @t3762 (=> @t4008 (=> @t3761 (and (=> @t3758 (= @t4063 @t3760)) (=> @t3759 (= @t4063 @t4046))))))) % 54.75/54.97 (assume @p2925 (forall @t3762 (=> @t4008 (=> @t3761 (and (=> @t3758 (= @t4064 @t3760)) (=> @t3759 (= @t4064 @t4046))))))) % 54.75/54.97 (assume @p2926 (forall (@list @t659 @t1314 @t14 @t420) (=> @t4008 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t4006 (tptp.hAPP @t3528 @t659)) @t1314) (tptp.hAPP (tptp.hAPP @t4004 @t659) @t3113)))))) % 54.75/54.97 (assume @p2927 (forall @t3774 (=> @t4008 (=> @t3415 (=> @t3670 (= (tptp.hAPP @t4040 @t3455) (tptp.hAPP (tptp.hAPP @t3840 @t55) @t4041))))))) % 54.75/54.97 (assume @p2928 (forall @t3767 (=> @t4008 (=> @t3415 (=> @t3608 (= @t4066 (tptp.hAPP @t4065 @t4048))))))) % 54.75/54.97 (assume @p2929 (forall @t3589 (=> @t4008 (=> @t3415 (= @t4066 @t4067))))) % 54.75/54.97 (assume @p2930 (forall @t3767 (=> @t4008 (=> @t3415 (=> @t3607 (= @t4048 @t4067)))))) % 54.75/54.97 (assume @p2931 (forall (@list @t54 @t2 @t1314 @t14 @t420) (=> @t4069 (=> @t3415 (=> (not (= @t55 @t3413)) (and (=> @t3632 (= @t4068 (tptp.hAPP @t4054 @t55))) (=> @t3670 (= @t4068 @t4041)))))))) % 54.75/54.97 (assume @p2932 (forall @t2436 (=> @t4073 (tptp.hBOOL (tptp.hAPP @t3466 (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2706 (tptp.hAPP (tptp.hAPP @t4072 @t54) @t4070)) @t3357)))))) % 54.75/54.97 (assume @p2933 (forall (@list @t659 @t347 @t420 @t1314 @t16 @t14) (=> @t3608 (= (tptp.hAPP (tptp.c_Set_Oimage @t14 @t4074 @t4079) @t1314) (tptp.hAPP (tptp.c_Set_Oimage @t14 @t4074 @t347) @t1314))))) % 54.75/54.97 (assume @p2934 (forall (@list @t16 @t349 @t104 @t420 @t14) (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t104) @t349) @t4081) @t4080)))) % 54.75/54.97 (assume @p2935 (forall (@list @t659 @t102 @t16 @t54 @t347 @t420 @t14) (=> (= (tptp.hAPP @t4082 @t4081) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t102) @t54) @t4075)) @t678))) % 54.75/54.97 (assume @p2936 (forall (@list @t420 @t16 @t14 @t349 @t104) (=> (= (tptp.hAPP @t104 @t349) @t3596) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4071 @t104) @t349) @t3596) @t104)))) % 54.75/54.97 (assume @p2937 (forall (@list @t659 @t16 @t52 @t54 @t347 @t14 @t420) (= (= (tptp.hAPP @t4085 @t16) @t4083) (or (and @t4038 (= @t52 @t659)) (and @t4039 (= @t4084 @t4083)))))) % 54.75/54.97 (assume @p2938 (forall (@list @t4086 @t16 @t14 @t420) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4071 @t4087) @t16) @t285) @t4086) @t285))) % 54.75/54.97 (assume @p2939 (forall @t3126 (=> @t3778 (= (tptp.hAPP (tptp.hAPP @t4021 @t2) @t1314) (tptp.hAPP @t625 (tptp.hAPP (tptp.hAPP @t4023 @t3777) @t1314)))))) % 54.75/54.97 (assume @p2940 (forall (@list @t52 @t420 @t14 @t54 @t347) (=> (= @t4089 @t285) (= (tptp.c_Map_Oran @t420 @t14 @t4085) (tptp.hAPP @t3401 @t4088))))) % 54.75/54.97 (assume @p2941 (forall (@list @t347 @t420 @t2574 @t16 @t14) (and (=> @t4093 (= @t4092 @t4096)) (=> @t4094 (= @t4092 @t4090))))) % 54.75/54.97 (assume @p2942 (forall @t4100 @t4099)) % 54.75/54.97 (assume @p2943 (forall (@list @t16 @t2574 @t14 @t420) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t420 @t14 @t4087 @t2574) @t16) @t285))) % 54.75/54.97 (assume @p2944 (forall @t4100 @t4101)) % 54.75/54.97 (assume @p2945 (forall @t4102 (= (tptp.c_Map_Orestrict__map @t14 @t420 @t2 @t3455) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 (tptp.c_Map_Orestrict__map @t14 @t420 @t2 @t1314)) @t54) @t55)))) % 54.75/54.97 (assume @p2946 (forall @t4100 (and @t4099 @t4101))) % 54.75/54.97 (assume @p2947 (forall (@list @t16 @t347 @t14 @t420) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t420 @t14 @t347 @t3522) @t16) @t285))) % 54.75/54.97 (assume @p2948 (forall @t4104 (=> @t4103 (tptp.hBOOL (tptp.hAPP @t3642 @t4088))))) % 54.75/54.97 (assume @p2949 (forall (@list @t659 @t16 @t2574 @t347 @t420 @t14) @t4106)) % 54.75/54.97 (assume @p2950 (forall @t4107 (= (tptp.c_Map_Oran @t420 @t14 @t4087) @t3514))) % 54.75/54.97 (assume @p2951 (forall @t4109 (and (=> @t4093 (= @t4108 @t4105)) (=> @t4094 (= @t4108 @t4090))))) % 54.75/54.97 (assume @p2952 (forall @t4109 (=> @t4093 @t4106))) % 54.75/54.97 (assume @p2953 (forall @t4015 (= (tptp.c_Map_Orestrict__map @t14 @t420 @t2 @t4111) (tptp.hAPP @t4110 @t425)))) % 54.75/54.97 (assume @p2954 (forall (@list @t659 @t16 @t347 @t420 @t14) (= (tptp.c_Map_Orestrict__map @t14 @t420 @t4079 @t4111) (tptp.c_Map_Orestrict__map @t14 @t420 @t347 @t4111)))) % 54.75/54.97 (assume @p2955 (forall (@list @t434 @t2 @t98 @t14 @t420) (=> @t4014 (=> @t4013 (=> @t4012 (=> (= @t4011 @t3413) (=> @t4010 (= @t4009 @t3413)))))))) % 54.75/54.97 (assume @p2956 (forall @t4118 (=> @t4117 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t98) @t104)) @t4116)))) % 54.75/54.97 (assume @p2957 (forall @t4125 (=> @t704 (=> @t4124 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3396)) (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t4120)))))))) % 54.75/54.97 (assume @p2958 (forall @t4118 (=> @t1565 @t4116))) % 54.75/54.97 (assume @p2959 (forall @t4118 (=> @t4117 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t98) @t104)) @t4126)))) % 54.75/54.97 (assume @p2960 (forall @t4142 (=> @t4141 (=> @t4139 (=> (tptp.hBOOL (tptp.hAPP @t4137 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t4136 tptp.c_FunDef_Omin__strict))))))) % 54.75/54.97 (assume @p2961 (forall (@list @t89 @t16 @t138 @t659) (=> (tptp.hBOOL (tptp.hAPP @t4145 @t138)) (=> @t4139 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4135 (tptp.hAPP @t4144 @t138)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4135 (tptp.hAPP (tptp.hAPP @t4132 (tptp.hAPP @t4143 @t89)) @t138)) tptp.c_FunDef_Omax__strict))))))) % 54.75/54.97 (assume @p2962 (forall @t4148 (=> (not (= @t89 @t4146)) (tptp.hBOOL (tptp.hAPP @t4147 tptp.c_FunDef_Omin__strict))))) % 54.75/54.97 (assume @p2963 (forall (@list @t138) (=> (tptp.hBOOL (tptp.hAPP @t4150 @t138)) (=> (not (= @t138 @t4146)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4135 (tptp.hAPP @t4149 @t138)) tptp.c_FunDef_Omax__strict)))))) % 54.75/54.97 (assume @p2964 (forall @t4118 (=> @t1565 @t4126))) % 54.75/54.97 (assume @p2965 (forall (@list @t4130 @t16 @t4127 @t659) (=> (tptp.hBOOL (tptp.hAPP @t4145 @t4127)) (=> @t4151 (=> (tptp.hBOOL (tptp.hAPP @t4137 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4135 (tptp.hAPP (tptp.hAPP @t4132 (tptp.hAPP @t4143 @t4130)) @t4127)) tptp.c_FunDef_Omax__weak))))))) % 54.75/54.97 (assume @p2966 (forall @t4142 (=> @t4141 (=> @t4151 (=> (tptp.hBOOL (tptp.hAPP @t4137 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t4136 tptp.c_FunDef_Omin__weak))))))) % 54.75/54.97 (assume @p2967 (forall @t4148 (tptp.hBOOL (tptp.hAPP @t4147 tptp.c_FunDef_Omin__weak)))) % 54.75/54.97 (assume @p2968 (forall @t4148 (=> (tptp.hBOOL (tptp.hAPP @t4150 @t89)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4135 (tptp.hAPP @t4149 @t89)) tptp.c_FunDef_Omax__weak))))) % 54.75/54.97 (assume @p2969 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP @t4154 (tptp.c_Wellfounded_Omin__ext @t2409 tptp.c_FunDef_Opair__leq)) @t4153))) % 54.75/54.97 (assume @p2970 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP @t4154 (tptp.c_Wellfounded_Omax__ext @t2409 tptp.c_FunDef_Opair__leq)) @t4153))) % 54.75/54.97 (assume @p2971 (tptp.c_FunDef_Oreduction__pair @t4131 (tptp.hAPP (tptp.hAPP @t4155 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 54.75/54.97 (assume @p2972 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext @t2409 tptp.c_FunDef_Opair__less))) % 54.75/54.97 (assume @p2973 (forall (@list @t2574 @t2575 @t2461 @t1467 @t1314 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3968 @t4156)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t2575) @t2574)) @t4156)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t3183) (tptp.hAPP @t3180 @t2574))) @t4156)))))) % 54.75/54.97 (assume @p2974 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t2409 tptp.c_FunDef_Opair__less))) % 54.75/54.97 (assume @p2975 (tptp.c_FunDef_Oreduction__pair @t4131 (tptp.hAPP (tptp.hAPP @t4155 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 54.75/54.97 (assume @p2976 (forall (@list @t4086 @t16 @t2461 @t14) (= (tptp.c_Wellfounded_Omax__extp @t14 (tptp.hAPP @t4162 @t2461) @t16 @t4086) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t16) @t4086)) @t4156))))) % 54.75/54.97 (assume @p2977 (forall @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4140 @t2408) tptp.c_Wellfounded_Oless__than)) @t660))) % 54.75/54.97 (assume @p2978 (forall @t4167 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4114 (tptp.hAPP (tptp.hAPP @t4112 @t2408) @t4166)) tptp.c_Int_Ointrel)) (= @t4165 @t4163)))) % 54.75/54.97 (assume @p2979 (= 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))) % 54.75/54.97 (assume @p2980 (forall (@list @t2461 @t2 @t14) (= @t3835 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t4168 @t14) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t14 tptp.c_Wellfounded_Oless__than @t2461)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t14 @t4168) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t14 @t4168) @t14) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t14)) @t2)) @t2207))))) % 54.75/54.97 (assume @p2981 (forall @t4171 (=> @t4170 (tptp.c_FunDef_Oreduction__pair @t420 (tptp.hAPP (tptp.hAPP @t4169 @t87) @t2))))) % 54.75/54.97 (assume @p2982 (forall @t4125 (=> @t704 (=> @t4172 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3396)) (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t4120)))))))) % 54.75/54.97 (assume @p2983 (forall @t3471 (= @t4169 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t3791 @t3791 @t4179) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3791 @t4182 @t4181) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4180 (tptp.tc_fun @t4182 @t4181) @t3791) (tptp.c_COMBB @t4178 @t4179 @t3791)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4177 @t4180 @t3791) (tptp.c_COMBS @t1316 @t4174 @t4175)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4178 @t4177 @t3791) (tptp.hAPP (tptp.c_COMBB @t4174 @t4176 @t1316) (tptp.c_Product__Type_OPair @t4174 @t4174))) @t4173)))) @t4173))))) % 54.75/54.97 (assume @p2984 (forall (@list @t2 @t2020 @t420 @t659 @t16 @t14) (= (tptp.hBOOL (tptp.hAPP @t3815 @t4184)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP @t3958 @t615) @t2420)) @t2020))))) % 54.75/54.97 (assume @p2985 (forall @t4125 (=> @t704 (=> @t4124 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 @t3933) (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t4120)))))))) % 54.75/54.97 (assume @p2986 (forall @t4125 (=> @t704 (=> @t4172 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 @t3938) (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t4120)))))))) % 54.75/54.97 (assume @p2987 (forall @t1799 (= @t3812 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t14) tptp.c_Wellfounded_Oless__than)))) % 54.75/54.97 (assume @p2988 (forall @t2023 (= (tptp.c_Relation_Oirrefl @t14 @t2020) @t4185))) % 54.75/54.97 (assume @p2989 (forall @t4190 (= (tptp.hAPP @t4186 (tptp.hAPP (tptp.hAPP @t4189 @t4188) @t2020)) (tptp.hAPP (tptp.hAPP @t3144 @t3517) @t4187)))) % 54.75/54.97 (assume @p2990 (forall @t2584 (= @t4192 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t3791) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t3791 @t3791) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3790 (tptp.tc_fun @t3791 @t3791) @t14) @t4189) @t4191)) @t3793))))) % 54.75/54.97 (assume @p2991 (forall @t2584 (= @t4192 (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 tptp.tc_HOL_Obool @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4193 (tptp.tc_fun tptp.tc_HOL_Obool @t2359) @t14) (tptp.c_COMBC @t14 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP @t4194 tptp.c_fequal))) @t1314))))) % 54.75/54.97 (assume @p2992 (forall @t1799 (= (tptp.c_Relation_OId__on @t14 @t3514) @t3793))) % 54.75/54.97 (assume @p2993 (forall @t1799 (= (tptp.hAPP @t4186 @t3793) @t3514))) % 54.75/54.97 (assume @p2994 (forall @t4199 (=> @t4198 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4187) @t4196))))) % 54.75/54.97 (assume @p2995 (forall @t4199 (= (tptp.hAPP @t4186 @t4202) (tptp.hAPP (tptp.hAPP @t3144 @t4187) @t4196)))) % 54.75/54.97 (assume @p2996 (forall @t2023 (=> @t4204 (tptp.hBOOL (tptp.hAPP @t3387 @t4187))))) % 54.75/54.97 (assume @p2997 (forall @t3700 (=> @t767 (=> @t3632 (tptp.hBOOL (tptp.hAPP @t4205 @t4192)))))) % 54.75/54.97 (assume @p2998 (forall @t3408 (= (tptp.hBOOL (tptp.hAPP @t3815 @t4192)) (and @t678 @t3607)))) % 54.75/54.97 (assume @p2999 (forall @t3651 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 @t51) @t4192)) (not (forall @t8 (=> @t3087 (not (= @t51 @t3798)))))))) % 54.75/54.97 (assume @p3000 (forall @t4125 (=> @t3186 (=> (forall @t2496 (= (tptp.hAPP @t2680 @t3919) (tptp.hAPP (tptp.hAPP @t3185 @t4123) @t4122))) (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3396)) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t4120)))))))) % 54.75/54.97 (assume @p3001 (forall @t4214 (=> @t4008 (=> @t4213 (=> @t4212 (=> @t4211 (= @t4208 @t4207))))))) % 54.75/54.97 (assume @p3002 (forall @t4214 (=> @t4008 (=> @t4213 (=> @t4212 (=> @t4211 (= @t4207 @t4208))))))) % 54.75/54.97 (assume @p3003 (forall @t4214 (=> @t3092 (=> @t4213 (=> @t4212 (=> @t4217 (= @t4216 @t4215))))))) % 54.75/54.97 (assume @p3004 (forall @t4214 (=> @t3092 (=> @t4213 (=> @t4212 (=> @t4217 (= @t4215 @t4216))))))) % 54.75/54.97 (assume @p3005 (forall @t2584 (=> @t3415 (= (tptp.hAPP @t4220 @t4219) (tptp.hAPP (tptp.hAPP @t1752 @t1934) @t3113))))) % 54.75/54.97 (assume @p3006 (forall (@list @t87 @t1314 @t14) (=> @t3415 (=> (tptp.hBOOL (tptp.hAPP @t87 @t1314)) (=> (forall @t4226 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t4223)) (=> @t4225 (=> (tptp.hBOOL (tptp.hAPP @t87 @t4223)) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP (tptp.hAPP @t2570 @t4223) (tptp.hAPP @t4222 @t3514)))))))) @t4221))))) % 54.75/54.97 (assume @p3007 (forall @t4232 (=> @t4231 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t4230))))))) % 54.75/54.97 (assume @p3008 (forall @t2491 (=> @t2490 @t4236))) % 54.75/54.97 (assume @p3009 (forall @t3464 (= (tptp.hAPP @t4218 @t3455) (tptp.hAPP @t4239 (tptp.hAPP (tptp.c_Set_Oimage @t2359 @t2359 @t3393) @t4219))))) % 54.75/54.97 (assume @p3010 (forall @t1799 (= (tptp.hAPP @t4218 @t3514) (tptp.hAPP (tptp.hAPP @t4241 @t3514) @t4240)))) % 54.75/54.97 (assume @p3011 (forall @t3354 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t3514) @t4233)))) % 54.75/54.97 (assume @p3012 (forall @t2584 (not (= @t4219 @t4240)))) % 54.75/54.97 (assume @p3013 (forall @t2491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 (tptp.hAPP @t4239 @t4233)) (tptp.hAPP @t4218 @t3159))))) % 54.75/54.97 (assume @p3014 (forall @t2491 (= @t4236 @t2490))) % 54.75/54.97 (assume @p3015 (forall @t2491 (=> @t4236 @t2490))) % 54.75/54.97 (assume @p3016 (forall @t2584 (tptp.hBOOL (tptp.hAPP @t4235 @t4219)))) % 54.75/54.97 (assume @p3017 (forall @t1799 (= (tptp.hAPP @t4218 @t3353) @t4243))) % 54.75/54.97 (assume @p3018 (forall @t3828 (=> @t4231 @t4244))) % 54.75/54.97 (assume @p3019 (forall @t2491 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 @t4219) @t4233))))) % 54.75/54.97 (assume @p3020 (forall @t2584 (not (exists @t4246 (= (tptp.hAPP (tptp.c_Set_Oimage @t14 @t2359 @t4245) @t1314) @t4219))))) % 54.75/54.97 (assume @p3021 (forall @t3174 (=> (= @t3066 @t1467) (= @t4247 @t4233)))) % 54.75/54.97 (assume @p3022 (forall @t2584 (= (tptp.hBOOL (tptp.hAPP @t4248 @t4219)) @t3415))) % 54.75/54.97 (assume @p3023 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t4237) @t1314) @t4249)) (tptp.hAPP @t4218 @t3309))))) % 54.75/54.97 (assume @p3024 (forall @t3078 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3066) @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 @t4247) @t4233))))) % 54.75/54.97 (assume @p3025 (forall @t3822 (=> @t4231 (=> @t3415 (=> @t3607 (= @t3829 @t3708)))))) % 54.75/54.97 (assume @p3026 (forall @t3822 (=> @t4231 (=> @t3415 @t3831)))) % 54.75/54.97 (assume @p3027 (forall @t4232 (=> @t4231 (=> @t3415 (=> @t3910 (=> @t2488 @t4250)))))) % 54.75/54.97 (assume @p3028 (forall @t3495 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp @t14 @t4252) @t16)) (tptp.hBOOL (tptp.hAPP @t4251 @t4219))))) % 54.75/54.97 (assume @p3029 (forall (@list @t87 @t1314 @t3423 @t14) (=> @t3425 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3423) @t1314)) (=> @t4221 (=> (forall (@list @t446 @t4253) (=> (tptp.hBOOL (tptp.hAPP @t3387 @t4253)) (=> @t4254 (=> (not (tptp.hBOOL (tptp.hAPP @t4224 @t4253))) (=> (tptp.hBOOL (tptp.hAPP @t87 @t4253)) (tptp.hBOOL (tptp.hAPP @t87 (tptp.hAPP @t4222 @t4253)))))))) (tptp.hBOOL (tptp.hAPP @t87 @t3423)))))))) % 54.75/54.97 (assume @p3030 (forall @t4055 (=> (and @t3092 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t420)) (=> @t3415 (=> @t3530 (=> (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4255 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4255 @t3419) @t3414)))))))) % 54.75/54.97 (assume @p3031 (forall @t2491 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 @t4256) (tptp.c_Predicate_OPowp @t14 @t1467)))))) % 54.75/54.97 (assume @p3032 (forall @t663 (= (= (tptp.hAPP @t4257 (tptp.hAPP @t4143 @t4146)) (tptp.hAPP @t4257 (tptp.hAPP @t4129 @t4146))) (tptp.hBOOL (tptp.hAPP @t4138 tptp.c_Int_Ointrel))))) % 54.75/54.97 (assume @p3033 (forall @t4261 (=> @t4260 (=> @t3415 (=> @t3484 (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2672 @t579) @t2) @t3508) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus @t579) (tptp.hAPP (tptp.hAPP @t4259 (tptp.hAPP (tptp.c_Fun_Ocomp @t2672 @t579 @t14 @t2) @t444)) @t1314)) (tptp.hAPP (tptp.hAPP @t4258 (tptp.hAPP (tptp.c_Fun_Ocomp @t2672 @t579 @t420 @t2) @t442)) @t1467)))))))) % 54.75/54.97 (assume @p3034 (forall @t3140 (=> @t3083 (=> @t2486 (=> @t3128 (=> @t3139 (= @t4050 (tptp.hAPP (tptp.hAPP @t4016 @t1) @t1467)))))))) % 54.75/54.97 (assume @p3035 (forall @t4263 (= (tptp.hAPP @t4262 @t3522) @t3514))) % 54.75/54.97 (assume @p3036 (forall (@list @t1467 @t1314 @t2461 @t14 @t420) (= (tptp.hAPP @t4262 @t3173) (tptp.hAPP @t4266 @t4264)))) % 54.75/54.97 (assume @p3037 (forall (@list @t1467 @t1314 @t579 @t2020 @t14 @t420) (= (tptp.hAPP @t4267 @t3325) (tptp.hAPP @t3324 @t4268)))) % 54.75/54.97 (assume @p3038 (forall (@list @t2020 @t1 @t2 @t579 @t14 @t420) (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t14 @t420 @t2) @t1)) @t2020) (tptp.hAPP @t3359 (tptp.hAPP @t3358 @t2020))))) % 54.75/54.97 (assume @p3039 (forall (@list @t16 @t1 @t2 @t579 @t14 @t420) (= @t4270 @t3612))) % 54.75/54.97 (assume @p3040 (forall (@list @t859 @t51 @t2443 @t52 @t54 @t14 @t420 @t579) (=> @t4274 (forall @t4272 (= (tptp.hAPP @t54 (tptp.hAPP @t52 @t4271)) (tptp.hAPP @t51 (tptp.hAPP @t859 @t4271))))))) % 54.75/54.97 (assume @p3041 (forall (@list @t1671 @t859 @t51 @t2443 @t52 @t54 @t14 @t420 @t579) (=> @t4274 (= @t4275 (tptp.hAPP @t51 (tptp.hAPP @t859 @t1671)))))) % 54.75/54.97 (assume @p3042 (forall (@list @t2680 @t1 @t2443 @t2 @t14 @t420 @t579) (= (tptp.hAPP @t4277 (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t579 @t14 @t1) @t2680)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t420 @t14 @t4276) @t2680)))) % 54.75/54.97 (assume @p3043 (forall @t2618 (= (tptp.hAPP @t2617 (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2443 @t579 @t420 @t1) @t16)) (tptp.hAPP (tptp.c_Product__Type_Oapfst @t2443 @t14 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t14 @t2443 @t2) @t1)) @t16)))) % 54.75/54.97 (assume @p3044 (forall @t2657 (= (tptp.hAPP @t2424 (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2443 @t579 @t14 @t1) @t16)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd @t2443 @t420 @t14 @t4276) @t16)))) % 54.75/54.97 (assume @p3045 (forall (@list @t2441 @t2443 @t579 @t14 @t420 @t4278 @t4279 @t4280 @t16 @t1 @t2) (=> (= @t3612 (tptp.hAPP @t4280 (tptp.hAPP @t4279 @t4278))) (= @t4270 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t14 @t2441 @t4280) @t4279) @t4278))))) % 54.75/54.97 (assume @p3046 (forall (@list @t16 @t2 @t51 @t579 @t14 @t420) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t14 @t579 @t4281) @t2) @t16) @t51))) % 54.75/54.97 (assume @p3047 (forall @t4283 (=> (= @t4273 @t51) @t4282))) % 54.75/54.97 (assume @p3048 (forall (@list @t659 @t16 @t1 @t2 @t14 @t420 @t579) (= (tptp.hAPP @t4277 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t14 @t579) @t1) @t16) @t659)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3998 @t4284) @t16) @t2420)))) % 54.75/54.97 (assume @p3049 (forall (@list @t1 @t579 @t2 @t14 @t420) (=> @t3366 (=> (= (tptp.hAPP (tptp.c_Set_Oimage @t14 @t579 @t1) @t3353) @t4285) (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t579 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t579 @t420 @t1) @t2)) @t3357) @t4285))))) % 54.75/54.97 (assume @p3050 (forall (@list @t1314 @t4288 @t2020 @t4289 @t420 @t14) (=> @t4290 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4288) @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP (tptp.c_Relation_OImage @t14 @t420 @t4289) @t4288)) @t4287)))))) % 54.75/54.97 (assume @p3051 (forall (@list @t1314 @t3133 @t2461 @t14 @t420) (= (tptp.hAPP (tptp.c_Relation_OImage @t420 @t14 (tptp.hAPP (tptp.hAPP @t4292 @t2461) @t3133)) @t1314) (tptp.hAPP @t4266 (tptp.hAPP (tptp.c_Relation_OImage @t420 @t14 @t3133) @t1314))))) % 54.75/54.97 (assume @p3052 (forall (@list @t2020 @t52 @t420 @t1314 @t54 @t14) (=> @t3632 (=> @t4293 (tptp.hBOOL (tptp.hAPP @t3653 @t4287)))))) % 54.75/54.97 (assume @p3053 (forall @t4299 (= @t4298 (exists @t8 (and @t3307 @t4296))))) % 54.75/54.97 (assume @p3054 (forall (@list @t1467 @t2020 @t14 @t420) (= (tptp.hAPP @t4267 @t1467) (tptp.hAPP @t3343 (tptp.hAPP (tptp.hAPP @t4301 @t4267) @t4300))))) % 54.75/54.97 (assume @p3055 (forall (@list @t54 @t2020 @t420 @t52 @t14) (= (tptp.hBOOL (tptp.hAPP @t3642 @t4304)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 @t4303) @t2020))))) % 54.75/54.97 (assume @p3056 (forall (@list @t1531 @t434 @t14) (=> @t2331 (= (tptp.hAPP @t718 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.hAPP @t2190 @t434) @t1531)) @t4146)))) (tptp.hAPP (tptp.hAPP @t1462 (tptp.hAPP @t617 @t434)) (tptp.hAPP @t617 @t1531)))))) % 54.75/54.97 (assume @p3057 (= @t734 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.hAPP @t2190 @t821) @t19)) @t4146))))) % 54.75/54.97 (assume @p3058 (forall @t4167 (= (tptp.hAPP (tptp.hAPP @t723 @t4308) @t4307) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t4306 @t1572)) (tptp.hAPP @t4305 @t1671))) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t4306 @t1671)) (tptp.hAPP @t4305 @t1572)))) @t4146)))))) % 54.75/54.97 (assume @p3059 (forall (@list @t2 @t1 @t579 @t1314 @t14 @t420) (= (tptp.hAPP @t3308 (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t2359 @t420 @t1) @t2)) (tptp.hAPP @t3340 @t1)))) % 54.75/54.97 (assume @p3060 (forall @t1806 (= (tptp.hAPP tptp.c_Int_OAbs__Integ @t3696) @t16))) % 54.75/54.97 (assume @p3061 (forall (@list @t16 @t1 @t2 @t2443 @t14 @t579 @t420) (= (tptp.hAPP (tptp.hAPP @t2433 (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t2873 @t420 @t2) @t1)) @t16) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t1 (tptp.hAPP @t2567 @t16))) @t2467)))) % 54.75/54.97 (assume @p3062 (= @t2010 (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))) % 54.75/54.97 (assume @p3063 (= 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 @t625) tptp.c_Code__Numeral_Onat__of))) % 54.75/54.97 (assume @p3064 (forall @t663 (= (tptp.hAPP @t726 @t4308) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.hAPP @t2190 @t659) @t16)) @t4146)))))) % 54.75/54.97 (assume @p3065 (= @t624 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP @t2193 @t19)) @t4146))))) % 54.75/54.97 (assume @p3066 (forall @t2009 (= @t636 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP @t4309 @t19)) @t4146)))))) % 54.75/54.97 (assume @p3067 (forall @t4167 (= (tptp.hAPP (tptp.hAPP @t630 @t4308) @t4307) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 (tptp.hAPP (tptp.hAPP @t2190 (tptp.hAPP @t4164 @t1572)) (tptp.hAPP (tptp.hAPP @t316 @t659) @t1671))) @t4146)))))) % 54.75/54.97 (assume @p3068 (forall @t663 (= (tptp.hAPP tptp.c_Int_Onat @t4308) @t1512))) % 54.75/54.97 (assume @p3069 (forall @t733 (= (tptp.hAPP @t726 @t57) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2409 @t4131) @t3605) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t4131) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4312 @t4312 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t4131 @t4131 tptp.tc_Nat_Onat) @t4257)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t4131 @t4312) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4311 (tptp.tc_fun @t4131 @t4312) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat @t4131 @t4131)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2482 @t4311 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB @t2409 @t4310 tptp.tc_Nat_Onat) @t4128)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2409) @t2190)))) @t4146)))))))) % 54.75/54.97 (assume @p3070 (forall @t4167 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t4308) @t4307)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t4165) @t4163))))) % 54.75/54.97 (assume @p3071 (forall @t4167 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t948 @t4308) @t4307)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t4165) @t4163))))) % 54.75/54.97 (assume @p3072 (forall (@list @t859 @t2599 @t51 @t52 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP @t4314 @t2599)) @t3861)) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3874 @t4313) @t859) @t2599)) @t3861)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP @t3878 (tptp.c_Com_Ocom_OCond @t52 @t51 @t859)) @t2599)) @t3861)))))) % 54.75/54.97 (assume @p3073 (forall (@list @t51 @t52 @t87 @t3477 @t14) (=> (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP @t4314 @t87)) @t3861)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t14 @t3477 (tptp.hAPP (tptp.hAPP @t3875 (tptp.hAPP (tptp.hAPP @t3878 @t227) @t4313)) @t3861))))) % 54.75/54.97 (assume @p3074 (forall @t1799 (= @t2692 (tptp.hAPP (tptp.c_Fun_Ocomp @t2224 tptp.tc_Int_Oint @t14 @t2453) @t4315)))) % 54.75/54.97 (assume @p3075 (forall (@list @t98 @t1807 @t1601 @t87 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Opeek__and @t14 @t87 @t1601) @t1807) @t98)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t1807) @t98)) (tptp.hBOOL (tptp.hAPP @t1601 @t98)))))) % 54.75/54.97 (assume @p3076 (forall @t1799 (= @t2695 (tptp.hAPP (tptp.c_Fun_Ocomp @t2224 tptp.tc_Int_Oint @t14 @t2492) @t4315)))) % 54.75/54.97 (assume @p3077 (forall @t4318 (=> @t4317 (=> @t3415 (=> @t3607 (= @t3708 @t4316)))))) % 54.75/54.97 (assume @p3078 (forall @t733 (not (forall @t2496 (not (= @t57 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP @t4257 (tptp.hAPP (tptp.hAPP @t4128 @t2495) @t4146))))))))) % 54.75/54.97 (assume @p3079 (forall @t4318 (=> @t4317 (=> @t3415 (= @t3830 @t4316))))) % 54.75/54.97 (assume @p3080 (forall (@list @t1 @t16 @t659 @t579 @t3423 @t2 @t420 @t14) (=> @t4317 (= (tptp.hAPP @t4319 @t4321) (tptp.hAPP @t4320 (tptp.hAPP @t4319 @t1)))))) % 54.75/54.97 (assume @p3081 (forall (@list @t16 @t659 @t3423 @t2 @t420 @t14) (=> @t4317 (= @t4324 @t4323)))) % 54.75/54.97 (assume @p3082 (forall (@list @t2680 @t1 @t2681 @t2 @t579 @t2443 @t2441 @t3423 @t286 @t420 @t14) (=> (tptp.c_Finite__Set_Ofolding @t14 @t420 @t286 @t3423) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2441 @t2443 @t579 @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t2681 @t2441 @t579 @t1) @t2680)) (tptp.hAPP (tptp.c_Fun_Ocomp @t2681 @t2443 @t579 (tptp.hAPP (tptp.c_Fun_Ocomp @t2441 @t2443 @t2681 @t2) @t1)) @t2680))))) % 54.75/54.97 (assume @p3083 (forall @t4318 (=> @t4317 (=> @t3415 (= (tptp.hAPP @t4322 @t3708) @t4326))))) % 54.75/54.97 (assume @p3084 (forall (@list @t1 @t16 @t579 @t1314 @t3423 @t2 @t420 @t14) (=> @t4317 (=> @t3415 (= (tptp.hAPP @t4320 @t4328) (tptp.hAPP @t4327 @t4321)))))) % 54.75/54.97 (assume @p3085 (forall @t4330 (=> @t4317 (=> @t3415 (=> @t3388 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t4227) @t3708) @t4329)))))) % 54.75/54.97 (assume @p3086 (forall (@list @t1 @t579 @t1467 @t1314 @t3423 @t2 @t420 @t14) (=> @t4317 (=> @t3415 (=> @t3388 (= (tptp.hAPP @t4331 @t4328) (tptp.hAPP @t4327 (tptp.hAPP @t4331 @t1)))))))) % 54.75/54.97 (assume @p3087 (forall @t4318 (=> @t4317 (=> @t3415 (=> @t3608 @t4332))))) % 54.75/54.97 (assume @p3088 (forall (@list @t420 @t2680 @t2 @t3133 @t14 @t579) (=> @t4260 (=> @t3761 (=> (forall @t8 (=> @t4057 (forall @t260 (=> (tptp.hBOOL (tptp.hAPP @t4338 @t3133)) (=> (not @t4337) (=> @t4336 (= (tptp.hAPP @t2680 @t6) (tptp.c_Groups_Ozero__class_Ozero @t579)))))))) (= (tptp.hAPP @t4335 (tptp.hAPP @t3068 @t3133)) (tptp.hAPP @t4334 @t3133))))))) % 54.75/54.97 (assume @p3089 (forall @t4339 (= (tptp.c_Random__Sequence_Omap @t420 @t14 @t2 @t87) (tptp.c_Random__Sequence_Obind @t420 @t14 @t87 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2750)) @t420 @t2769) @t2))))) % 54.75/54.97 (assume @p3090 (forall @t4345 (= @t4344 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t4237) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4237 @t4237) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t4342 @t14) @t4241) (tptp.hAPP (tptp.hAPP @t4341 @t4340) @t3569))) @t4240))))) % 54.75/54.97 (assume @p3091 (forall @t2023 (= (tptp.hAPP (tptp.hAPP @t4343 @t3514) @t2020) @t4240))) % 54.75/54.97 (assume @p3092 (forall @t4345 (= (= @t4240 @t4344) @t3520))) % 54.75/54.97 (assume @p3093 (forall @t4345 (= (= @t4344 @t4240) @t3520))) % 54.75/54.97 (assume @p3094 (forall (@list @t2020 @t1314 @t16 @t14) (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t4346) @t4344))))) % 54.75/54.97 (assume @p3095 (forall @t4348 (= @t4347 (tptp.hAPP (tptp.hAPP @t4241 @t4346) @t4240)))) % 54.75/54.97 (assume @p3096 (forall (@list @t54 @t52 @t2020 @t1314 @t14) (=> @t4353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4352) @t4351)) @t4350)))) % 54.75/54.97 (assume @p3097 (forall (@list @t2020 @t1314 @t89 @t14) (=> @t4355 (not (forall @t8 (=> (= @t89 (tptp.hAPP @t4340 @t3955)) @t3668)))))) % 54.75/54.97 (assume @p3098 (forall @t4357 (=> @t4353 (=> @t3607 (=> @t3698 (= (= @t4347 (tptp.hAPP (tptp.hAPP @t4343 @t3776) @t2020)) @t4356)))))) % 54.75/54.97 (assume @p3099 (tptp.c_Equiv__Relations_Oequiv @t2409 @t4358 tptp.c_Int_Ointrel)) % 54.75/54.97 (assume @p3100 (forall @t4359 (=> @t4353 (=> @t3632 (tptp.hBOOL (tptp.hAPP @t3631 @t4351)))))) % 54.75/54.97 (assume @p3101 (forall @t4361 (=> @t4353 (=> @t4349 @t4360)))) % 54.75/54.97 (assume @p3102 (forall @t4366 (=> @t4353 (=> @t4355 (=> @t4365 (=> @t4364 (=> @t4363 (= @t4362 @t4356)))))))) % 54.75/54.97 (assume @p3103 (forall @t4366 (=> @t4353 (=> @t4355 (=> @t4365 (=> @t4364 (=> @t4363 (=> @t4356 @t4362)))))))) % 54.75/54.97 (assume @p3104 (forall (@list @t1314 @t52 @t54 @t2020 @t14) (=> @t4360 (=> @t4353 @t4350)))) % 54.75/54.97 (assume @p3105 (forall @t4357 (=> @t4353 (=> @t3607 (=> @t3698 (= @t4367 @t4356)))))) % 54.75/54.97 (assume @p3106 (forall @t4357 (=> @t4353 (= @t4356 (and @t4367 @t3607 @t3698))))) % 54.75/54.97 (assume @p3107 (forall @t4361 (=> @t4353 (=> @t4349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4351) @t4352)))))) % 54.75/54.97 (assume @p3108 (forall (@list @t54 @t2 @t420 @t2020 @t1314 @t14) (=> @t4353 (=> @t4368 (=> @t3632 (= (tptp.hAPP (tptp.hAPP @t3272 @t4351) @t2) @t55)))))) % 54.75/54.97 (assume @p3109 (forall (@list @t97 @t94 @t2 @t579 @t4369 @t4375 @t420 @t4373 @t4376 @t14) (=> @t4379 (=> @t4378 (=> @t4377 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t94) @t4376)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3305 @t97) @t4375)) (= (tptp.hAPP (tptp.hAPP @t4374 (tptp.hAPP (tptp.c_Relation_OImage @t14 @t14 @t4373) (tptp.hAPP @t4372 @t3514))) (tptp.hAPP (tptp.hAPP @t4371 (tptp.hAPP @t3314 (tptp.hAPP @t4370 (tptp.hAPP (tptp.hAPP @t3410 @t97) @t3522)))) @t2)) (tptp.hAPP (tptp.hAPP @t2 @t94) @t97))))))))) % 54.75/54.97 (assume @p3110 (forall (@list @t52 @t54 @t16 @t2020 @t1314 @t14) (=> @t4353 (=> (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP (tptp.hAPP @t4380 @t4351) @t4352))) @t4349)))) % 54.75/54.97 (assume @p3111 (forall @t3164 (=> @t4383 (not (=> @t3161 @t3163))))) % 54.75/54.97 (assume @p3112 (forall (@list @t14 @t1467 @t16 @t1314) (=> @t3161 (=> @t3162 @t4383)))) % 54.75/54.97 (assume @p3113 (forall @t3647 (=> @t4384 (not @t3625)))) % 54.75/54.97 (assume @p3114 (forall @t3647 (=> @t3621 (=> @t3620 @t4384)))) % 54.75/54.97 (assume @p3115 (forall @t3480 (=> (or @t3425 @t3479) (tptp.hBOOL (tptp.hAPP @t3387 (tptp.hAPP (tptp.hAPP @t4380 @t3423) @t3477)))))) % 54.75/54.97 (assume @p3116 (forall @t605 (=> @t3196 @t4389))) % 54.75/54.97 (assume @p3117 (forall @t605 (=> @t4390 @t4389))) % 54.75/54.97 (assume @p3118 (forall @t605 (=> @t3196 @t4391))) % 54.75/54.97 (assume @p3119 (forall @t605 (=> @t4390 @t4391))) % 54.75/54.97 (assume @p3120 (forall @t705 (=> @t4395 (= @t1027 (= @t4394 @t16))))) % 54.75/54.97 (assume @p3121 (forall @t2509 (=> @t4395 (= (tptp.hBOOL (tptp.hAPP @t1026 (tptp.hAPP (tptp.hAPP @t4392 @t659) @t57))) @t2528)))) % 54.75/54.97 (assume @p3122 (forall @t2527 (=> @t4390 (=> @t2526 @t4399)))) % 54.75/54.97 (assume @p3123 (forall @t2525 (=> @t4390 (=> @t2524 @t4399)))) % 54.75/54.97 (assume @p3124 (forall @t605 (=> @t4390 (=> @t1004 (= @t4387 @t288))))) % 54.75/54.97 (assume @p3125 (forall @t1014 (=> @t4390 (=> @t1003 (= @t4387 @t367))))) % 54.75/54.97 (assume @p3126 (forall @t2516 (=> @t4390 (=> @t1185 (=> @t2510 @t4400))))) % 54.75/54.97 (assume @p3127 (forall @t673 (=> @t4390 (=> @t1004 (=> @t1015 (tptp.hBOOL (tptp.hAPP @t962 @t4402))))))) % 54.75/54.97 (assume @p3128 (forall @t1666 (=> @t4390 (=> @t1022 (=> @t2518 (tptp.hBOOL (tptp.hAPP @t4398 (tptp.hAPP (tptp.hAPP @t4385 @t26) @t427)))))))) % 54.75/54.97 (assume @p3129 (forall @t2516 (=> @t4390 (=> @t4400 @t2511)))) % 54.75/54.97 (assume @p3130 (forall @t3221 (=> @t2577 (=> @t3220 (tptp.hBOOL (tptp.hAPP @t4404 (tptp.hAPP @t4403 @t2574))))))) % 54.75/54.97 (assume @p3131 (forall @t4406 (=> @t4405 (=> (tptp.hBOOL (tptp.hAPP @t3400 @t1467)) (tptp.hBOOL (tptp.hAPP @t3400 @t4382)))))) % 54.75/54.97 (assume @p3132 (forall @t3210 (=> @t2488 (= @t4382 @t1467)))) % 54.75/54.97 (assume @p3133 (forall @t2491 (=> @t2490 (= @t4382 @t1314)))) % 54.75/54.97 (assume @p3134 (forall @t2491 (tptp.hBOOL (tptp.hAPP @t4404 @t1467)))) % 54.75/54.97 (assume @p3135 (forall @t2491 (tptp.hBOOL (tptp.hAPP @t4404 @t1314)))) % 54.75/54.97 (assume @p3136 (forall @t291 (=> @t3361 (= (tptp.hAPP (tptp.hAPP @t4385 @t3360) @t288) @t288)))) % 54.75/54.97 (assume @p3137 (forall @t291 (=> @t3361 (= (tptp.hAPP @t4386 @t3360) @t288)))) % 54.75/54.97 (assume @p3138 (forall @t705 (=> (tptp.class_Lattices_Obounded__lattice__top @t14) (= (= @t4394 @t3355) (and (= @t16 @t3355) (= @t659 @t3355)))))) % 54.75/54.97 (assume @p3139 (forall @t3354 (= (tptp.hAPP (tptp.hAPP @t4380 @t3353) @t1467) @t1467))) % 54.75/54.97 (assume @p3140 (forall @t2584 (= (tptp.hAPP @t4381 @t3353) @t1314))) % 54.75/54.97 (assume @p3141 (forall @t3693 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4380 @t3691) @t3690) @t16)) (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP (tptp.hAPP @t4380 @t2461) @t3133)))))) % 54.75/54.97 (assume @p3142 (forall @t3647 (=> @t4384 @t3620))) % 54.75/54.97 (assume @p3143 (forall @t3647 (=> @t4384 @t3621))) % 54.75/54.97 (assume @p3144 (forall @t3647 (= @t4384 (and @t3621 @t3620)))) % 54.75/54.97 (assume @p3145 (forall @t2580 (= (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP @t4412 @t4411)) @t4409) (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP @t4408 @t3181)) @t4407)))) % 54.75/54.97 (assume @p3146 (forall @t4413 (= (tptp.hAPP (tptp.hAPP @t3144 @t4411) @t1314) (tptp.hAPP (tptp.hAPP @t4380 @t3184) @t4407)))) % 54.75/54.97 (assume @p3147 (forall @t4413 (= (tptp.hAPP (tptp.hAPP @t4380 @t3181) @t1314) (tptp.hAPP (tptp.hAPP @t3144 @t4414) @t4409)))) % 54.75/54.97 (assume @p3148 (forall @t2580 (= (tptp.hAPP @t3158 @t4411) (tptp.hAPP @t4408 @t3183)))) % 54.75/54.97 (assume @p3149 (forall @t2580 (= @t4416 (tptp.hAPP @t4412 @t4415)))) % 54.75/54.97 (assume @p3150 (forall @t2095 (=> @t4417 (= (tptp.hAPP (tptp.hAPP @t3188 @t4402) @t288) (tptp.hAPP (tptp.hAPP @t4385 @t3204) (tptp.hAPP (tptp.hAPP @t3188 @t365) @t288)))))) % 54.75/54.97 (assume @p3151 (forall @t2095 (=> @t4417 (= (tptp.hAPP (tptp.hAPP @t4385 @t3190) @t288) (tptp.hAPP (tptp.hAPP @t3188 @t4418) (tptp.hAPP (tptp.hAPP @t4385 @t365) @t288)))))) % 54.75/54.97 (assume @p3152 (forall @t673 (=> @t4417 (= @t4420 @t4419)))) % 54.75/54.97 (assume @p3153 (forall @t673 (=> @t4417 (= @t4423 @t4422)))) % 54.75/54.97 (assume @p3154 (forall @t605 (=> @t3196 (= (tptp.hAPP @t3191 @t4387) @t288)))) % 54.75/54.97 (assume @p3155 (forall @t605 (=> @t3196 (= (tptp.hAPP @t4386 @t3193) @t288)))) % 54.75/54.97 (assume @p3156 (forall @t2491 (= @t4424 (forall @t8 (=> @t3087 (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP @t3304 @t1467)) @t3438))))))) % 54.75/54.97 (assume @p3157 (forall @t2584 (= (tptp.hAPP @t4381 @t3514) @t3514))) % 54.75/54.97 (assume @p3158 (forall @t3354 (= (tptp.hAPP (tptp.hAPP @t4380 @t3514) @t1467) @t3514))) % 54.75/54.97 (assume @p3159 (forall @t291 (=> @t3539 (= (tptp.hAPP @t4386 @t3527) @t3527)))) % 54.75/54.97 (assume @p3160 (forall @t291 (=> @t3539 (= (tptp.hAPP (tptp.hAPP @t4385 @t3527) @t288) @t3527)))) % 54.75/54.97 (assume @p3161 (forall @t4426 (= (tptp.hAPP (tptp.hAPP @t4380 @t3455) @t3394) @t4425))) % 54.75/54.97 (assume @p3162 (forall (@list @t1467 @t1314 @t347 @t420 @t14) (= (tptp.c_Map_Orestrict__map @t14 @t420 @t4097 @t1467) (tptp.c_Map_Orestrict__map @t14 @t420 @t347 @t4382)))) % 54.75/54.97 (assume @p3163 (forall @t3060 (=> @t3125 (=> @t3128 (tptp.c_Nat__Transfer_Onat__set @t4428))))) % 54.75/54.97 (assume @p3164 (forall @t3164 (=> @t4383 @t3162))) % 54.75/54.97 (assume @p3165 (forall @t3164 (=> @t4383 @t3161))) % 54.75/54.97 (assume @p3166 (forall @t2580 (= (tptp.hAPP (tptp.hAPP @t4380 @t4382) @t2575) @t4429))) % 54.75/54.97 (assume @p3167 (forall @t2580 (= @t4429 (tptp.hAPP @t4410 @t4415)))) % 54.75/54.97 (assume @p3168 (forall @t2491 (= (tptp.hAPP @t4381 @t4382) @t4382))) % 54.75/54.97 (assume @p3169 (forall @t2491 (= @t4382 @t4414))) % 54.75/54.97 (assume @p3170 (forall @t2584 (= (tptp.hAPP @t4381 @t1314) @t1314))) % 54.75/54.97 (assume @p3171 (forall @t3187 (=> @t3186 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t1316) @t2) @t1) @t16) (tptp.hAPP (tptp.hAPP @t4392 @t615) @t1005))))) % 54.75/54.97 (assume @p3172 (forall @t673 (=> @t4390 @t4431))) % 54.75/54.97 (assume @p3173 (forall @t673 (=> @t3196 @t4431))) % 54.75/54.97 (assume @p3174 (forall @t327 (=> @t4390 (= (tptp.hAPP (tptp.hAPP @t4385 @t4397) @t26) @t4433)))) % 54.75/54.97 (assume @p3175 (forall @t673 (=> @t4390 @t4434))) % 54.75/54.97 (assume @p3176 (forall @t673 (=> @t3196 @t4434))) % 54.75/54.97 (assume @p3177 (forall @t346 (=> @t4390 (= (tptp.hAPP @t4432 (tptp.hAPP @t4396 @t26)) @t4433)))) % 54.75/54.97 (assume @p3178 (forall @t605 (=> @t4390 @t4435))) % 54.75/54.97 (assume @p3179 (forall @t605 (=> @t3196 @t4435))) % 54.75/54.97 (assume @p3180 (forall @t552 (=> @t4390 (= (tptp.hAPP @t4396 @t4397) @t4397)))) % 54.75/54.97 (assume @p3181 (forall @t605 (=> @t4390 @t4436))) % 54.75/54.97 (assume @p3182 (forall @t605 (=> @t3196 @t4436))) % 54.75/54.97 (assume @p3183 (forall @t552 (=> @t4390 (= @t4397 (tptp.hAPP @t4432 @t181))))) % 54.75/54.97 (assume @p3184 (forall @t291 (=> @t4390 @t4437))) % 54.75/54.97 (assume @p3185 (forall @t304 (=> @t4390 (= (tptp.hAPP @t4396 @t181) @t181)))) % 54.75/54.97 (assume @p3186 (forall @t1799 (=> (and @t4395 @t704) (= @t4392 @t2506)))) % 54.75/54.97 (assume @p3187 (forall @t291 (=> @t3196 @t4437))) % 54.75/54.97 (assume @p3188 (forall @t2527 (=> @t4390 (=> @t2539 @t4438)))) % 54.75/54.97 (assume @p3189 (forall @t2525 (=> @t4390 (=> @t2538 @t4438)))) % 54.75/54.97 (assume @p3190 (forall @t4406 (= (tptp.hAPP @t4403 @t2572) (tptp.hAPP (tptp.hAPP @t2570 @t4409) (tptp.hAPP @t4403 @t1467))))) % 54.75/54.97 (assume @p3191 (forall @t2580 (= (tptp.hAPP (tptp.hAPP @t2570 @t4382) @t2575) (tptp.hAPP @t4381 @t3207)))) % 54.75/54.97 (assume @p3192 (forall @t2580 (= (tptp.hAPP @t4441 @t2575) @t4440))) % 54.75/54.97 (assume @p3193 (forall @t3218 (= @t4440 (tptp.hAPP @t4439 @t1467)))) % 54.75/54.97 (assume @p3194 (forall @t2491 (= (tptp.hAPP @t4218 @t4382) (tptp.hAPP (tptp.hAPP @t4442 @t4219) @t4233)))) % 54.75/54.97 (assume @p3195 (forall @t3297 (= @t4445 @t4443))) % 54.75/54.97 (assume @p3196 (forall @t3297 (= @t4448 @t4446))) % 54.75/54.97 (assume @p3197 (forall @t4449 (= @t4443 @t4445))) % 54.75/54.97 (assume @p3198 (forall @t4450 (= (tptp.hAPP @t4410 @t3333) (tptp.hAPP @t3332 (tptp.hAPP (tptp.hAPP @t4444 @t4410) @t1314))))) % 54.75/54.97 (assume @p3199 (forall @t3298 (= @t4446 @t4448))) % 54.75/54.97 (assume @p3200 (forall @t4457 (= (tptp.hAPP (tptp.hAPP @t4380 @t3333) (tptp.hAPP @t4455 @t1467)) (tptp.hAPP @t3332 (tptp.hAPP (tptp.hAPP @t4456 @t4455) (tptp.hAPP (tptp.hAPP @t4453 (tptp.hAPP @t4452 @t4447)) @t1467)))))) % 54.75/54.97 (assume @p3201 (forall @t673 (=> @t3196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t4420) @t4419))))) % 54.75/54.97 (assume @p3202 (forall @t673 (=> @t3196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t4422) @t4423))))) % 54.75/54.97 (assume @p3203 (forall @t291 (=> @t1227 (= (tptp.hAPP @t4458 @t288) @t3527)))) % 54.75/54.97 (assume @p3204 (forall @t291 (=> @t1227 (= (tptp.hAPP @t4386 @t775) @t3527)))) % 54.75/54.97 (assume @p3205 (forall @t605 (=> @t1227 (= @t1524 (tptp.hAPP @t4386 @t1226))))) % 54.75/54.97 (assume @p3206 (forall @t605 (=> @t1227 (= (tptp.hAPP @t748 @t3193) (tptp.hAPP @t4458 @t1226))))) % 54.75/54.97 (assume @p3207 (forall @t605 (=> @t1227 (= (tptp.hAPP @t748 @t4387) (tptp.hAPP @t3368 @t1226))))) % 54.75/54.97 (assume @p3208 (forall @t4426 (and @t4461 @t4460))) % 54.75/54.97 (assume @p3209 (forall @t4466 (and @t4465 @t4464))) % 54.75/54.97 (assume @p3210 (forall @t4426 @t4460)) % 54.75/54.97 (assume @p3211 (forall @t4466 @t4464)) % 54.75/54.97 (assume @p3212 (forall @t4426 @t4461)) % 54.75/54.97 (assume @p3213 (forall @t4466 @t4465)) % 54.75/54.97 (assume @p3214 (forall @t3078 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t3055 @t4469)) (tptp.hAPP (tptp.hAPP @t4380 @t3066) @t3077))))) % 54.75/54.97 (assume @p3215 (forall @t2491 (=> @t4424 (= @t2572 @t1314)))) % 54.75/54.97 (assume @p3216 (forall @t2491 (= (tptp.hAPP @t4381 @t3209) @t3514))) % 54.75/54.97 (assume @p3217 (forall @t2580 (= (= (tptp.hAPP @t4412 @t2575) @t4416) @t4405))) % 54.75/54.97 (assume @p3218 (forall @t2491 (= (tptp.hAPP @t4470 @t4382) @t1314))) % 54.75/54.97 (assume @p3219 (forall @t2580 (= (tptp.hAPP @t2571 @t3181) (tptp.hAPP @t4441 @t3208)))) % 54.75/54.97 (assume @p3220 (forall @t2580 (= (tptp.hAPP @t2571 @t4411) (tptp.hAPP @t4470 @t3208)))) % 54.75/54.97 (assume @p3221 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4471 @t3235) @t3514)))) % 54.75/54.97 (assume @p3222 (forall @t3060 (= (tptp.hAPP (tptp.hAPP @t4472 @t1314) @t1467) (tptp.hAPP @t3114 (tptp.hAPP (tptp.hAPP @t4427 @t3057) @t3056))))) % 54.75/54.97 (assume @p3223 (forall @t2584 (= (tptp.hAPP @t4473 @t1314) @t3514))) % 54.75/54.97 (assume @p3224 (forall @t2584 (= (tptp.hAPP @t4381 @t2583) @t3514))) % 54.75/54.97 (assume @p3225 (forall @t4476 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4475) @t4474)))) % 54.75/54.97 (assume @p3226 (forall @t2491 (= (tptp.hAPP @t2581 @t3159) (tptp.hAPP @t4473 @t2582)))) % 54.75/54.97 (assume @p3227 (forall @t2491 (= (tptp.hAPP @t2581 @t4382) (tptp.hAPP @t3242 @t2582)))) % 54.75/54.97 (assume @p3228 (forall @t2491 (= (tptp.hAPP @t2571 @t2582) @t4382))) % 54.75/54.97 (assume @p3229 (forall @t2491 (= @t2572 (tptp.hAPP @t4381 @t2582)))) % 54.75/54.97 (assume @p3230 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4477 @t3239) @t3514)))) % 54.75/54.97 (assume @p3231 (forall @t2491 (= (tptp.hAPP (tptp.c_Relation_OImage @t14 @t14 @t4192) @t1467) @t4382))) % 54.75/54.97 (assume @p3232 (forall @t3060 (=> @t3125 (=> @t3128 (= @t4428 (tptp.hAPP @t3044 (tptp.hAPP (tptp.hAPP @t4472 @t3121) @t3127))))))) % 54.75/54.97 (assume @p3233 (forall (@list @t54 @t2 @t4369 @t579 @t420 @t4373 @t1314 @t14) (=> (tptp.c_Equiv__Relations_Oequiv @t14 @t1314 @t4373) (=> @t4478 (=> @t3632 (tptp.c_Equiv__Relations_Ocongruent @t420 @t579 @t4369 @t55)))))) % 54.75/54.97 (assume @p3234 (forall @t3457 (=> @t3186 (=> @t3415 (=> @t3632 (= (tptp.hAPP @t4479 @t3883) @t54)))))) % 54.75/54.97 (assume @p3235 (forall @t2491 (= @t4424 (tptp.hBOOL (tptp.hAPP @t2489 @t2582))))) % 54.75/54.97 (assume @p3236 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4471 @t3142) @t3514)))) % 54.75/54.97 (assume @p3237 (forall @t864 (=> @t704 (= (tptp.hAPP @t4483 @t2953) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t4482 @t4481))))) % 54.75/54.97 (assume @p3238 (forall @t864 (=> @t704 (= (tptp.hAPP (tptp.hAPP @t4380 @t2992) @t2991) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t4482) @t4481))))) % 54.75/54.97 (assume @p3239 (forall @t3170 (=> @t655 (= (tptp.hAPP @t4484 @t3229) @t3514)))) % 54.75/54.97 (assume @p3240 (forall @t3170 (=> @t655 (= (tptp.hAPP @t4484 @t3151) @t3514)))) % 54.75/54.97 (assume @p3241 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4485 @t3239) @t3514)))) % 54.75/54.97 (assume @p3242 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4486 @t3142) @t3514)))) % 54.75/54.97 (assume @p3243 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4485 @t3152) @t3514)))) % 54.75/54.97 (assume @p3244 (forall @t864 (=> @t704 (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t54 @t52)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t51 @t859)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t14 @t4482 @t4481))))) % 54.75/54.97 (assume @p3245 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4486 @t3235) @t3514)))) % 54.75/54.97 (assume @p3246 (forall @t864 (=> @t704 (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t54 @t52)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t51 @t859)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t14 @t4482 @t4481))))) % 54.75/54.97 (assume @p3247 (forall (@list @t859 @t51 @t52 @t14) (=> @t704 (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP @t3165 @t52)) @t2953) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t51 @t4481))))) % 54.75/54.97 (assume @p3248 (forall (@list @t859 @t52 @t54 @t14) (=> @t704 (= (tptp.hAPP @t4483 (tptp.hAPP @t3165 @t859)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t54 @t4481))))) % 54.75/54.97 (assume @p3249 (forall @t3170 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t4380 @t3151) @t3251) @t3514)))) % 54.75/54.97 (assume @p3250 (forall @t3170 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t4380 @t3229) @t3247) @t3514)))) % 54.75/54.97 (assume @p3251 (forall (@list @t859 @t51 @t54 @t14) (=> @t704 (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP @t3250 @t54)) @t2953) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t4482 @t859))))) % 54.75/54.97 (assume @p3252 (forall @t334 (=> @t704 (= (tptp.hAPP @t4483 (tptp.hAPP @t3250 @t51)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t4482 @t52))))) % 54.75/54.97 (assume @p3253 (forall @t3170 (=> @t655 (= (tptp.hAPP @t4487 @t3141) @t3514)))) % 54.75/54.97 (assume @p3254 (forall @t3149 (=> @t655 (= (tptp.hAPP @t4477 @t3152) @t3514)))) % 54.75/54.97 (assume @p3255 (forall @t3170 (=> @t655 (= (tptp.hAPP @t4487 @t3233) @t3514)))) % 54.75/54.97 (assume @p3256 (forall @t3170 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t4380 @t3233) @t3251) @t3514)))) % 54.75/54.97 (assume @p3257 (forall @t3170 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t4380 @t3141) @t3247) @t3514)))) % 54.75/54.97 (assume @p3258 (forall @t4489 (=> @t3617 (=> @t3616 (=> @t3484 (= (tptp.hAPP (tptp.hAPP @t2 @t4488) (tptp.hAPP @t3423 @t4469)) @t4228)))))) % 54.75/54.97 (assume @p3259 (forall @t605 (=> @t1227 (=> (= @t4387 @t3527) (=> (= @t3193 @t3360) (= @t775 @t367)))))) % 54.75/54.97 (assume @p3260 (forall @t4492 (=> @t3092 (=> @t3415 (=> @t3388 (= (tptp.hAPP (tptp.hAPP @t3430 @t4491) (tptp.hAPP @t3089 @t4382)) @t4490)))))) % 54.75/54.97 (assume @p3261 (forall @t4492 (=> @t4008 (=> @t3415 (=> @t3388 (= (tptp.hAPP (tptp.hAPP @t3840 @t4495) (tptp.hAPP @t4047 @t4382)) @t4494)))))) % 54.75/54.97 (assume @p3262 (forall @t2491 (=> @t3415 (=> @t3388 (= @t4499 @t4496))))) % 54.75/54.97 (assume @p3263 (forall @t2491 (=> @t3415 (=> @t3388 (= @t4496 @t4499))))) % 54.75/54.97 (assume @p3264 (forall @t2491 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t4382)) (= @t3451 (tptp.hAPP @t3452 @t4497))))) % 54.75/54.97 (assume @p3265 (forall @t4503 (=> @t3092 (=> @t3415 (= @t4502 @t4501))))) % 54.75/54.97 (assume @p3266 (forall @t4330 (=> @t4317 (=> @t3415 (=> @t3388 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t420 @t420 @t4229) @t4504) @t4329)))))) % 54.75/54.97 (assume @p3267 (forall (@list @t138 @t89 @t2020 @t1314 @t14) (=> @t4353 (=> @t4355 (=> @t4365 (or @t4362 (= (tptp.hAPP (tptp.hAPP @t4380 @t89) @t138) @t3514))))))) % 54.75/54.97 (assume @p3268 (forall @t620 (=> @t655 (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP @t3165 @t102)) (tptp.hAPP @t3250 @t102)) (tptp.hAPP (tptp.hAPP @t3392 @t102) @t3514))))) % 54.75/54.97 (assume @p3269 (forall @t4489 (=> @t3617 (=> @t3616 (=> @t3484 (=> (= @t4469 @t3522) @t4505)))))) % 54.75/54.97 (assume @p3270 (forall @t4232 (=> @t3821 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t4230)))))))) % 54.75/54.97 (assume @p3271 (forall @t4232 (=> @t3821 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t2 @t4229) @t4504) @t4228))))))) % 54.75/54.97 (assume @p3272 (forall @t4492 (=> @t3092 (=> @t3415 (=> @t3388 (=> @t4424 @t4507)))))) % 54.75/54.97 (assume @p3273 (forall @t3288 (=> @t3448 (=> @t3415 (=> @t3388 (= (tptp.hAPP @t3090 @t3159) (tptp.hAPP (tptp.hAPP @t3446 (tptp.hAPP (tptp.hAPP @t3430 @t3419) @t3445)) @t4502))))))) % 54.75/54.97 (assume @p3274 (forall @t4492 (=> @t4008 (=> @t3415 (=> @t3388 (=> @t4424 @t4508)))))) % 54.75/54.97 (assume @p3275 (forall @t2491 (=> @t3415 (=> @t3388 (=> @t4424 @t4509))))) % 54.75/54.97 (assume @p3276 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t3185 @t3912) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t4382)) @t3911))))))) % 54.75/54.97 (assume @p3277 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t3913)))))))) % 54.75/54.97 (assume @p3278 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t2506 @t3946) (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t4382)) @t3945))))))) % 54.75/54.97 (assume @p3279 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t3947)))))))) % 54.75/54.97 (assume @p3280 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t3950)))))))) % 54.75/54.97 (assume @p3281 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t2630 @t3949) (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t4382)) @t3948))))))) % 54.75/54.97 (assume @p3282 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t2506 @t3992) (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t4382)) @t3991))))))) % 54.75/54.97 (assume @p3283 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t3993)))))))) % 54.75/54.97 (assume @p3284 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t3996)))))))) % 54.75/54.97 (assume @p3285 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t2630 @t3995) (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t4382)) @t3994))))))) % 54.75/54.97 (assume @p3286 (forall (@list @t4510 @t4512 @t4511 @t4513 @t2 @t4369 @t4373 @t579 @t420 @t14) (=> @t4478 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 @t4513) @t4511)) @t4373)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3960 (tptp.hAPP (tptp.hAPP @t3958 @t4512) @t4510)) @t4369)) (= (tptp.hAPP (tptp.hAPP @t2 @t4513) @t4512) (tptp.hAPP (tptp.hAPP @t2 @t4511) @t4510))))))) % 54.75/54.97 (assume @p3287 (forall (@list @t2 @t1467 @t1314 @t14) (=> @t3415 (=> @t3388 (= (tptp.hAPP @t2964 @t3159) (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP (tptp.hAPP @t316 @t2965) @t3385)) (tptp.hAPP @t2964 @t4382))))))) % 54.75/54.97 (assume @p3288 (forall @t4330 (=> @t4317 (=> @t3415 (=> @t3388 (=> @t4424 @t4514)))))) % 54.75/54.97 (assume @p3289 (forall (@list @t57 @t659 @t2 @t2020 @t420 @t14) (=> @t4517 (=> (tptp.hBOOL (tptp.hAPP @t4516 @t2020)) (= @t2420 @t4031))))) % 54.75/54.97 (assume @p3290 (forall (@list @t54 @t2 @t579 @t4369 @t4375 @t420 @t4373 @t4376 @t14) (=> @t4379 (=> @t4378 (=> @t4377 (=> (tptp.hBOOL (tptp.hAPP @t4518 @t4375)) (tptp.c_Equiv__Relations_Ocongruent @t14 @t2462 @t4373 (tptp.hAPP (tptp.hAPP @t4371 (tptp.hAPP @t3314 (tptp.hAPP @t4370 @t3570))) @t2)))))))) % 54.75/54.97 (assume @p3291 (forall (@list @t138 @t89 @t2 @t420 @t2020 @t1314 @t14) (=> @t4353 (=> @t4368 (=> (= @t4522 (tptp.hAPP (tptp.hAPP @t3272 @t138) @t2)) (=> @t4355 (=> @t4365 (=> (forall @t8 (=> @t3087 (forall @t260 (=> @t4521 (=> @t4336 @t4520))))) @t4362)))))))) % 54.75/54.97 (assume @p3292 (forall (@list @t1467 @t4523 @t4524 @t2 @t579 @t4369 @t4375 @t420 @t4373 @t4376 @t14) (=> @t4379 (=> @t4378 (=> @t4377 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t4524) (tptp.hAPP (tptp.hAPP @t4343 @t4376) @t4373))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4527 @t4523) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t420) @t4375) @t4369))) (=> (forall @t1151 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t1149) @t4376)) (forall (@list @t4526) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3305 @t4526) @t4375)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4525 (tptp.hAPP (tptp.hAPP @t2 @t1149) @t4526)) @t1467)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4525 (tptp.hAPP (tptp.hAPP @t4374 @t4524) (tptp.hAPP (tptp.hAPP @t4371 (tptp.hAPP @t3314 @t4523)) @t2))) @t1467)))))))))) % 54.75/54.97 (assume @p3293 (forall (@list @t1467 @t89 @t2 @t420 @t2020 @t1314 @t14) (=> @t4353 (=> @t4368 (=> @t4355 (=> (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4527 @t6) @t1467)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4527 @t4522) @t1467)))))))) % 54.75/54.97 (assume @p3294 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) @t2497)) % 54.75/54.97 (assume @p3295 (forall @t3688 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4529 @t3684) @t3683) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3666 (tptp.hAPP (tptp.hAPP @t4528 @t2461) @t3133)))))) % 54.75/54.97 (assume @p3296 (forall @t2491 (=> @t3415 (=> @t3388 (=> (=> (exists @t8 @t4531) @t4530) @t4509))))) % 54.75/54.97 (assume @p3297 (forall @t3288 (=> @t4069 (=> @t3415 (=> @t3388 (=> (forall @t8 (=> @t4531 (not @t4043))) (= (tptp.hAPP @t4040 @t3159) (tptp.hAPP (tptp.hAPP @t4053 (tptp.hAPP (tptp.hAPP @t3840 @t4041) @t4061)) (tptp.hAPP @t4040 @t4382))))))))) % 54.75/54.97 (assume @p3298 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient @t2409) @t4358) tptp.c_Int_Ointrel))) % 54.75/54.97 (assume @p3299 (forall @t3789 (=> @t4532 (not (=> @t3786 @t3788))))) % 54.75/54.97 (assume @p3300 (forall (@list @t420 @t14 @t1467 @t659 @t16 @t1314) (=> @t3786 (=> @t3787 @t4532)))) % 54.75/54.97 (assume @p3301 (forall @t3789 (=> @t4532 @t3787))) % 54.75/54.97 (assume @p3302 (forall @t3789 (=> @t4532 @t3786))) % 54.75/54.97 (assume @p3303 (forall @t1806 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4533 @t3696) tptp.c_Int_OInteg)))) % 54.75/54.97 (assume @p3304 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint @t4131 tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg)) % 54.75/54.97 (assume @p3305 (forall @t4492 (=> @t4008 (=> @t3415 (=> @t3388 (=> (forall @t8 (=> @t4531 (= @t5 @t4046))) @t4508)))))) % 54.75/54.97 (assume @p3306 (forall @t4537 (=> @t4008 (=> @t3761 (=> @t4213 (=> @t4536 (= (tptp.hAPP @t4040 @t4534) (tptp.hAPP (tptp.hAPP @t3840 @t4208) @t4207)))))))) % 54.75/54.97 (assume @p3307 (forall @t4537 (=> @t3092 (=> @t3761 (=> @t4213 (=> (forall @t8 (=> @t4535 @t4043)) (= (tptp.hAPP @t3090 @t4534) (tptp.hAPP (tptp.hAPP @t3430 @t4215) @t4216)))))))) % 54.75/54.97 (assume @p3308 (forall @t4492 (=> @t3092 (=> @t3415 (=> @t3388 (=> (forall @t8 (=> @t4531 (= @t5 @t3413))) @t4507)))))) % 54.75/54.97 (assume @p3309 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3607 (and (=> @t3819 (= @t4539 @t16)) (=> @t3820 (= @t4539 @t4538)))))))) % 54.75/54.97 (assume @p3310 (forall (@list @t349 @t2020 @t1314 @t14) (=> @t3415 (=> @t4353 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4540 @t4344)) (tptp.hBOOL (tptp.hAPP @t2857 (tptp.hAPP @t3112 @t4))))) (tptp.hBOOL (tptp.hAPP @t2857 @t3113))))))) % 54.75/54.97 (assume @p3311 (forall @t18 (=> @t3186 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3543) @t16)))) % 54.75/54.97 (assume @p3312 (forall @t3457 (=> @t3186 (=> @t3415 (=> @t3632 (= (tptp.hAPP @t4541 @t4539) @t54)))))) % 54.75/54.97 (assume @p3313 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3607 (= @t4542 @t4539)))))) % 54.75/54.97 (assume @p3314 (forall @t3495 (=> @t3186 (=> @t3415 @t4544)))) % 54.75/54.97 (assume @p3315 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3910 (=> @t2488 (= (tptp.hAPP (tptp.hAPP @t4392 @t4545) @t4539) @t4539))))))) % 54.75/54.97 (assume @p3316 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t4548))))))) % 54.75/54.97 (assume @p3317 (forall @t2584 (=> @t3186 (=> @t3415 (=> @t3530 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t4539) @t3883))))))) % 54.75/54.97 (assume @p3318 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3608 @t4544))))) % 54.75/54.97 (assume @p3319 (forall @t3495 (=> @t3186 (=> @t3415 (and (=> @t3819 (= @t4543 @t16)) (=> @t3820 (= @t4543 @t4538))))))) % 54.75/54.97 (assume @p3320 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t4548)))))))) % 54.75/54.97 (assume @p3321 (forall @t2491 (=> @t3186 (=> @t3415 (=> @t3388 (=> @t4506 (= (tptp.hAPP (tptp.hAPP @t4392 @t4547) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t4382)) @t4546))))))) % 54.75/54.97 (assume @p3322 (forall @t2584 (=> @t3186 (=> @t3415 (=> @t3530 (=> (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t4549) @t3918))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t4539) @t1314)))))))) % 54.75/54.97 (assume @p3323 (forall @t4330 (=> @t4550 (=> @t3415 (=> @t3388 @t4514))))) % 54.75/54.97 (assume @p3324 (forall @t2584 (= (tptp.c_Equiv__Relations_Oequiv @t14 @t3353 @t1314) (tptp.c_Equiv__Relations_Oequivp @t14 (tptp.hAPP @t4162 @t1314))))) % 54.75/54.97 (assume @p3325 (forall @t1799 (tptp.c_Equiv__Relations_Oequivp @t14 tptp.c_fequal))) % 54.75/54.97 (assume @p3326 (forall @t4553 (= @t4552 (forall @t2496 (= (tptp.hBOOL (tptp.hAPP @t4551 @t257)) (= @t4551 (tptp.hAPP @t2461 @t257))))))) % 54.75/54.97 (assume @p3327 (forall (@list @t16 @t2461 @t14) (=> @t4552 (tptp.hBOOL (tptp.hAPP @t3976 @t16))))) % 54.75/54.97 (assume @p3328 (forall (@list @t659 @t16 @t2461 @t14) (=> @t4552 (=> @t4555 (tptp.hBOOL (tptp.hAPP @t4554 @t16)))))) % 54.75/54.97 (assume @p3329 (forall (@list @t57 @t659 @t16 @t2461 @t14) (=> @t4552 (=> @t4555 (=> (tptp.hBOOL (tptp.hAPP @t4554 @t57)) (tptp.hBOOL (tptp.hAPP @t3976 @t57))))))) % 54.75/54.97 (assume @p3330 (forall (@list @t16 @t3423 @t2 @t420 @t14) (=> @t4550 @t4556))) % 54.75/54.97 (assume @p3331 (forall (@list @t1 @t16 @t579 @t3423 @t2 @t420 @t14) (=> @t4550 (= (tptp.hAPP @t4320 @t4321) @t4321)))) % 54.75/54.97 (assume @p3332 (forall @t4318 (=> @t4550 (=> @t3415 (=> @t3607 (= @t4326 @t3708)))))) % 54.75/54.97 (assume @p3333 (forall @t4318 (=> @t4550 (=> @t3415 @t4332)))) % 54.75/54.97 (assume @p3334 (forall @t4330 (=> @t4550 (=> @t3415 (=> @t2488 (= @t4329 @t3708)))))) % 54.75/54.97 (assume @p3335 (forall @t4345 (=> @t3415 (=> @t4557 (= (tptp.hAPP @t4220 @t4344) @t3113))))) % 54.75/54.97 (assume @p3336 (forall @t4492 (=> @t4008 (=> @t3415 (=> @t3388 (=> @t4424 (= @t4564 @t4563))))))) % 54.75/54.97 (assume @p3337 (forall @t4125 (=> @t3186 (=> (forall @t2496 (= (tptp.hAPP @t2680 @t4549) (tptp.hAPP (tptp.hAPP @t4392 @t4123) @t4122))) (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3396)) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t4120)))))))) % 54.75/54.97 (assume @p3338 (forall @t3542 (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t3514))) % 54.75/54.97 (assume @p3339 (forall @t2584 (=> @t832 (tptp.c_Fun_Oinj__on @t14 @t14 @t758 @t1314)))) % 54.75/54.97 (assume @p3340 (forall @t4568 (=> @t4567 (=> @t703 (=> @t3607 (=> @t3698 @t4566)))))) % 54.75/54.97 (assume @p3341 (forall @t4568 (=> @t4567 (=> @t3607 (=> @t3698 @t4569))))) % 54.75/54.97 (assume @p3342 (forall @t4568 (=> @t4567 (=> @t4565 (=> @t3607 (=> @t3698 @t678)))))) % 54.75/54.97 (assume @p3343 (forall @t2791 (=> @t4567 @t4570))) % 54.75/54.97 (assume @p3344 (forall @t3078 (=> @t4572 @t4571))) % 54.75/54.97 (assume @p3345 (forall (@list @t4280 @t579 @t1314 @t2 @t420 @t14) (=> @t4567 (= (tptp.c_Fun_Oinj__on @t420 @t579 @t4280 @t3070) (tptp.c_Fun_Oinj__on @t14 @t579 (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t579 @t14 @t4280) @t2) @t1314))))) % 54.75/54.97 (assume @p3346 (forall (@list @t1 @t579 @t1314 @t2 @t420 @t14) (=> @t4567 (=> (tptp.c_Fun_Oinj__on @t420 @t579 @t1 @t3070) (tptp.c_Fun_Oinj__on @t14 @t579 (tptp.hAPP @t4573 @t2) @t1314))))) % 54.75/54.97 (assume @p3347 (forall (@list @t1314 @t2 @t1 @t579 @t420 @t14) (=> (tptp.c_Fun_Oinj__on @t14 @t420 @t4575 @t1314) (tptp.c_Fun_Oinj__on @t579 @t420 @t1 (tptp.hAPP @t4574 @t1314))))) % 54.75/54.97 (assume @p3348 (forall @t2791 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t3066)) (=> @t4576 @t3616)))) % 54.75/54.97 (assume @p3349 (forall @t4578 (=> @t4577 (=> @t2490 @t4567)))) % 54.75/54.97 (assume @p3350 (forall (@list @t57 @t1 @t2 @t420 @t14) (= (tptp.hAPP @t4580 @t3522) @t57))) % 54.75/54.97 (assume @p3351 (forall @t2584 (tptp.c_Fun_Oinj__on @t14 @t14 @t2207 @t1314))) % 54.75/54.97 (assume @p3352 (forall @t2791 (= @t4567 (forall @t8 (=> @t3087 (forall @t3022 (=> @t3439 (=> (= @t6 @t3436) @t3437)))))))) % 54.75/54.97 (assume @p3353 (forall @t3078 (=> @t4567 (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t2572)))) % 54.75/54.97 (assume @p3354 (forall (@list @t1314 @t2 @t4280 @t579 @t420 @t14) (=> (tptp.c_Fun_Oinj__on @t14 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t420 @t14 @t4280) @t2) @t1314) (tptp.c_Fun_Oinj__on @t14 @t579 @t2 @t1314)))) % 54.75/54.97 (assume @p3355 (forall (@list @t57 @t1 @t2680 @t420 @t1314 @t14 @t579) (=> (tptp.class_Groups_Oab__semigroup__mult @t579) (=> @t3415 (=> (tptp.c_Fun_Oinj__on @t14 @t420 @t2680 @t1314) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4583 @t1) @t57) (tptp.hAPP @t3458 @t1314)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4582 (tptp.hAPP @t4573 @t2680)) @t57) @t1314))))))) % 54.75/54.97 (assume @p3356 (forall @t3078 (=> @t4584 @t4571))) % 54.75/54.97 (assume @p3357 (forall @t4028 (=> @t4584 @t4569))) % 54.75/54.97 (assume @p3358 (forall @t4028 (=> @t4584 (=> @t4565 @t678)))) % 54.75/54.97 (assume @p3359 (forall (@list @t579 @t2 @t420 @t14) (=> @t4584 (tptp.c_Fun_Oinj__on @t14 @t4585 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t4585 @t14) (tptp.c_COMBK @t420 @t579)) @t2) @t3353)))) % 54.75/54.97 (assume @p3360 (forall @t4587 (=> @t4584 (=> (tptp.c_Fun_Oinj__on @t579 @t14 @t1 @t4285) (tptp.c_Fun_Oinj__on @t579 @t420 @t4586 @t4285))))) % 54.75/54.97 (assume @p3361 (forall @t4578 (=> @t4577 (=> @t2588 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t2731) @t3070) @t3069)))))) % 54.75/54.97 (assume @p3362 (forall @t3078 (=> @t4567 (=> @t4577 (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t4382))))) % 54.75/54.97 (assume @p3363 (forall (@list @t52 @t2 @t420 @t14) (=> @t4584 (= (tptp.hBOOL (tptp.hAPP @t3653 (tptp.hAPP @t3068 @t3353))) (exists @t8 (and (= @t52 @t6) (forall @t260 (=> (= @t52 @t3049) @t4588)))))))) % 54.75/54.97 (assume @p3364 (forall @t4102 (=> @t4584 (= (tptp.hBOOL (tptp.hAPP @t4589 @t3070)) @t3632)))) % 54.75/54.97 (assume @p3365 (forall (@list @t1314 @t3423 @t1 @t57 @t2 @t420 @t14) (=> @t3617 (=> @t3616 (= @t3708 @t4590))))) % 54.75/54.97 (assume @p3366 (forall (@list @t4288 @t420 @t14 @t1314) (=> @t3530 (= (exists @t4246 (and @t4593 (tptp.hBOOL (tptp.hAPP @t4592 @t4288)))) (exists (@list @t4591) (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 @t4591) @t4288) @t1314)))))) % 54.75/54.97 (assume @p3367 (forall @t3126 (=> @t3415 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4595) @t1314)) (=> @t4596 (= @t4595 @t1314)))))) % 54.75/54.97 (assume @p3368 (forall @t3126 (=> @t3415 (=> (tptp.hBOOL (tptp.hAPP @t2489 @t4595)) @t4596)))) % 54.75/54.97 (assume @p3369 (forall @t2948 (=> @t3465 (=> @t4598 @t4597)))) % 54.75/54.97 (assume @p3370 (forall @t2948 (=> @t3465 (=> @t4597 @t4598)))) % 54.75/54.97 (assume @p3371 (forall @t3078 (=> @t4584 (= @t3072 @t2490)))) % 54.75/54.97 (assume @p3372 (forall @t4601 (=> @t4600 (=> @t2577 (=> @t2579 @t4599))))) % 54.75/54.97 (assume @p3373 (forall @t3078 (=> @t4584 @t4599))) % 54.75/54.97 (assume @p3374 (forall @t3497 (=> @t3415 (= @t4567 @t4570)))) % 54.75/54.97 (assume @p3375 (forall @t3497 (=> @t3415 (=> @t4570 @t4567)))) % 54.75/54.97 (assume @p3376 (forall @t4601 (=> @t4600 (=> @t2577 (=> @t2579 @t4603))))) % 54.75/54.97 (assume @p3377 (forall @t3078 (=> @t4584 @t4603))) % 54.75/54.97 (assume @p3378 (forall @t4604 (=> @t4260 (=> @t4577 (= (tptp.hAPP @t4335 @t3069) (tptp.hAPP @t4334 @t1467)))))) % 54.75/54.97 (assume @p3379 (forall @t2791 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP @t3112 @t3066)) @t3117)) (not @t4576)))) % 54.75/54.97 (assume @p3380 (forall (@list @t16 @t659 @t1314 @t2 @t420 @t14) (=> @t4567 (=> (not @t4605) (tptp.c_Fun_Oinj__on @t14 @t420 @t4001 @t1314))))) % 54.75/54.97 (assume @p3381 (forall @t4612 (=> @t4611 (=> @t4567 (=> @t4610 (=> (= @t1 @t4333) @t4609)))))) % 54.75/54.97 (assume @p3382 (forall @t4604 (=> @t4611 (=> @t4577 (= (tptp.hAPP @t4608 @t3069) (tptp.hAPP (tptp.hAPP @t4606 @t4333) @t1467)))))) % 54.75/54.97 (assume @p3383 (forall @t1799 (tptp.c_Fun_Oinj__on @t14 @t2359 @t3569 @t3353))) % 54.75/54.97 (assume @p3384 (forall @t4616 (=> @t3092 (=> @t3415 (=> @t4615 (= (tptp.hAPP @t3089 @t4614) (tptp.hAPP (tptp.hAPP @t3088 @t4613) @t1314))))))) % 54.75/54.97 (assume @p3385 (forall (@list @t1 @t1467 @t1314 @t2 @t420 @t14) (=> @t4567 (=> @t4617 (=> (tptp.c_Fun_Oinj__on @t420 @t14 @t1 @t1467) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t3491 @t1467)) @t1314)) (=> @t3415 (=> @t3484 (= @t3113 @t3511))))))))) % 54.75/54.97 (assume @p3386 (forall @t4616 (=> @t4008 (=> @t3415 (=> @t4615 (= (tptp.hAPP @t4047 @t4614) (tptp.hAPP (tptp.hAPP @t4006 @t4613) @t1314))))))) % 54.75/54.97 (assume @p3387 (forall @t3435 (=> @t4008 (=> @t3415 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4558 @t4052) @t4046) @t1314) (tptp.hAPP @t4562 (tptp.hAPP (tptp.hAPP @t4618 @t4046) @t1314))))))) % 54.75/54.97 (assume @p3388 (forall @t2791 (=> @t4584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t3068 @t2583)) (tptp.hAPP @t3363 @t3070)))))) % 54.75/54.97 (assume @p3389 (forall (@list @t57 @t1 @t54 @t1314 @t14 @t420) (=> @t4622 (=> @t3415 (=> @t3670 (= (tptp.hAPP @t4619 @t3455) (tptp.hAPP (tptp.hAPP @t3840 @t4621) @t4620))))))) % 54.75/54.97 (assume @p3390 (forall @t3418 (=> @t3092 @t4623))) % 54.75/54.97 (assume @p3391 (forall @t3418 (=> @t3092 (and @t4623 @t3417)))) % 54.75/54.97 (assume @p3392 (forall @t3418 (=> @t4008 (and @t4624 @t4049)))) % 54.75/54.97 (assume @p3393 (forall @t3418 (=> @t4008 @t4624))) % 54.75/54.97 (assume @p3394 (forall @t4102 (= (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t3455) (and @t4567 (not (tptp.hBOOL (tptp.hAPP @t4589 (tptp.hAPP @t3068 @t3545)))))))) % 54.75/54.97 (assume @p3395 (forall @t3078 (= @t4572 (and @t4567 @t4577 (= (tptp.hAPP (tptp.hAPP @t4467 @t4602) (tptp.hAPP @t3068 @t3209)) @t3522))))) % 54.75/54.97 (assume @p3396 (forall @t3078 (=> @t4567 (=> @t4617 (=> @t3484 @t4625))))) % 54.75/54.97 (assume @p3397 (forall @t3483 (=> @t3415 (=> @t3484 (= (exists @t4246 (and @t4593 (tptp.hBOOL (tptp.hAPP @t4592 @t1467)))) @t4625))))) % 54.75/54.97 (assume @p3398 (forall (@list @t54 @t1314 @t2020 @t14) (=> @t4557 (=> @t3632 (= (tptp.hAPP (tptp.hAPP @t4343 @t3545) @t2020) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4237) @t4344) (tptp.hAPP (tptp.hAPP @t4343 @t3518) @t2020))))))) % 54.75/54.97 (assume @p3399 (forall @t4492 (=> @t4008 (=> @t3415 (=> @t3388 (= @t4563 (tptp.hAPP (tptp.hAPP @t3840 @t4564) (tptp.hAPP @t4560 @t4382)))))))) % 54.75/54.97 (assume @p3400 (forall @t3497 (=> @t3415 (= @t3070 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t2731 @t14 @t3171) (tptp.hAPP (tptp.hAPP @t2765 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t2763 @t14) @t3410) @t2)) @t3522)) @t3522) @t1314))))) % 54.75/54.97 (assume @p3401 (forall @t2584 (and @t4626 @t3489))) % 54.75/54.97 (assume @p3402 (forall @t2584 @t4626)) % 54.75/54.97 (assume @p3403 (forall @t4632 (=> @t4631 (and @t4630 @t4629)))) % 54.75/54.97 (assume @p3404 (forall (@list @t1 @t2680 @t1314 @t3423 @t57 @t2 @t420 @t14) (=> @t4633 (=> @t3616 (=> (tptp.c_Fun_Oinj__on @t420 @t420 @t2680 @t1314) (= (tptp.hAPP @t4627 (tptp.hAPP (tptp.c_Set_Oimage @t420 @t420 @t2680) @t1314)) (tptp.hAPP (tptp.hAPP @t3423 (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t14 @t420 @t1) @t2680)) @t1314))))))) % 54.75/54.97 (assume @p3405 (forall @t4537 (=> @t4008 (=> @t3761 (=> @t4213 (=> @t4536 (= (tptp.hAPP @t4634 @t4534) (tptp.hAPP (tptp.hAPP @t3840 @t4635) (tptp.hAPP @t4634 @t4206))))))))) % 54.75/54.97 (assume @p3406 (forall @t1799 (=> @t622 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat @t14 @t617 @t3349)))) % 54.75/54.97 (assume @p3407 (forall (@list @t3396 @t349) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2957 @t3396))) % 54.75/54.97 (assume @p3408 (forall @t3399 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t3396))) % 54.75/54.97 (assume @p3409 (forall @t2584 (tptp.c_Fun_Oinj__on @t14 @t2706 @t292 @t1314))) % 54.75/54.97 (assume @p3410 (forall @t2880 (tptp.c_Fun_Oinj__on @t14 @t3662 @t3661 @t1314))) % 54.75/54.97 (assume @p3411 (forall @t2880 (tptp.c_Fun_Oinj__on @t14 @t2672 @t444 @t1314))) % 54.75/54.97 (assume @p3412 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint @t625 @t3349)) % 54.75/54.97 (assume @p3413 (forall @t2880 (tptp.c_Fun_Oinj__on @t2437 @t2675 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t2675) @t4636) @t1314))) % 54.75/54.97 (assume @p3414 (forall (@list @t2680 @t1 @t1314 @t3423 @t57 @t2 @t420 @t14) (=> @t4633 (=> @t3616 (= (tptp.hAPP (tptp.hAPP @t3423 (tptp.hAPP (tptp.hAPP @t2884 @t4637) @t2680)) @t1314) (tptp.hAPP (tptp.hAPP @t2 @t4628) (tptp.hAPP (tptp.hAPP @t3423 @t2680) @t1314))))))) % 54.75/54.97 (assume @p3415 (forall @t4632 (=> @t4633 @t4630))) % 54.75/54.97 (assume @p3416 (forall @t4632 (=> @t4631 @t4629))) % 54.75/54.97 (assume @p3417 (forall (@list @t16 @t1314 @t1 @t579 @t2 @t420 @t14) (=> (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t4638) (=> (tptp.c_Fun_Oinj__on @t579 @t14 @t1 @t1314) (=> (tptp.hBOOL (tptp.hAPP @t3643 (tptp.hAPP @t3068 @t4638))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t579 @t420 @t1314 @t4586) @t16) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t579 @t420 (tptp.c_Fun_Othe__inv__into @t579 @t14 @t1314 @t1)) (tptp.c_Fun_Othe__inv__into @t14 @t420 @t4638 @t2)) @t16))))))) % 54.75/54.97 (assume @p3418 (forall (@list @t1467 @t16 @t1314 @t2 @t420 @t14) (=> @t4567 (=> (tptp.hBOOL (tptp.hAPP @t3643 @t3070)) (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t4640) @t1467))))))) % 54.75/54.97 (assume @p3419 (forall @t4647 (=> @t4584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4646) (tptp.hAPP (tptp.hAPP @t3392 (tptp.c_HOL_OThe @t14 (tptp.hAPP @t4644 @t54))) @t3514)))))) % 54.75/54.97 (assume @p3420 (forall (@list @t420 @t1467 @t14 @t52 @t54 @t2) (=> @t4650 (=> @t3663 (tptp.hBOOL (tptp.hAPP @t4518 @t4649)))))) % 54.75/54.97 (assume @p3421 (forall @t3078 (= (tptp.hAPP @t4645 @t3076) (tptp.hAPP (tptp.hAPP @t2570 @t4652) @t4651)))) % 54.75/54.97 (assume @p3422 (forall @t2791 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4654) @t1314)))) % 54.75/54.97 (assume @p3423 (forall @t3367 (=> @t3366 (= @t4654 @t1314)))) % 54.75/54.97 (assume @p3424 (forall (@list @t1467 @t2 @t420 @t54 @t14) (= (tptp.hBOOL (tptp.hAPP @t3631 @t4651)) (tptp.hBOOL (tptp.hAPP @t4589 @t1467))))) % 54.75/54.97 (assume @p3425 (forall (@list @t1314 @t2 @t420 @t54 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3631 @t4652)) (tptp.hBOOL (tptp.hAPP @t4589 @t1314))))) % 54.75/54.97 (assume @p3426 (forall (@list @t420 @t1314 @t54 @t2 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t55) @t1314)) (tptp.hBOOL (tptp.hAPP @t4518 @t4653))))) % 54.75/54.97 (assume @p3427 (forall @t3073 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t4653) @t4649))))) % 54.75/54.97 (assume @p3428 (forall @t3078 (= (tptp.hAPP @t4645 @t3173) (tptp.hAPP (tptp.hAPP @t3144 @t4652) @t4651)))) % 54.75/54.97 (assume @p3429 (forall @t3542 (= (tptp.hAPP @t4645 @t3522) @t3514))) % 54.75/54.97 (assume @p3430 (forall @t3352 (= (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t14 @t2207) @t138) @t138))) % 54.75/54.97 (assume @p3431 (forall @t2791 (= (tptp.hAPP @t4645 @t3364) (tptp.hAPP @t2581 @t4652)))) % 54.75/54.97 (assume @p3432 (forall @t4655 (= (tptp.hBOOL (tptp.hAPP @t4652 @t16)) (tptp.hBOOL (tptp.hAPP @t1314 @t615))))) % 54.75/54.97 (assume @p3433 (forall @t4657 (= (tptp.hAPP @t4645 @t3325) (tptp.hAPP @t3324 @t4656)))) % 54.75/54.97 (assume @p3434 (forall (@list @t16 @t2 @t1 @t579 @t420 @t14) (= (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t420 @t4575) @t16) (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t579 @t2) (tptp.hAPP (tptp.c_Set_Ovimage @t579 @t420 @t1) @t16))))) % 54.75/54.97 (assume @p3435 (forall @t3542 (= (tptp.hAPP @t4645 @t3357) @t3353))) % 54.75/54.97 (assume @p3436 (forall @t3078 (= (tptp.hAPP @t4645 @t4469) (tptp.hAPP (tptp.hAPP @t4380 @t4652) @t4651)))) % 54.75/54.97 (assume @p3437 (forall (@list @t52 @t2 @t420 @t54 @t14) (= (tptp.hBOOL (tptp.hAPP @t3631 (tptp.hAPP @t4645 (tptp.hAPP @t4658 @t3522)))) @t4650))) % 54.75/54.97 (assume @p3438 (forall (@list @t1467 @t54 @t2 @t420 @t14) (= (tptp.hAPP @t4645 @t3412) (tptp.hAPP (tptp.hAPP @t3144 @t4646) @t4651)))) % 54.75/54.97 (assume @p3439 (forall (@list @t3423 @t2680 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3387 (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t420 @t2680) @t3423))) (=> (= (tptp.hAPP @t3458 @t3353) @t3357) (tptp.hBOOL (tptp.hAPP @t3459 @t3423)))))) % 54.75/54.97 (assume @p3440 (forall (@list @t1314 @t1467 @t2 @t14 @t420) (=> @t3366 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t4649) @t1314)) @t3067)))) % 54.75/54.97 (assume @p3441 (forall @t3367 (= @t4654 (tptp.hAPP @t4381 @t3365)))) % 54.75/54.97 (assume @p3442 (forall @t3460 (=> @t3425 (=> (tptp.c_Fun_Oinj__on @t420 @t14 @t2680 @t3357) (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP (tptp.c_Set_Ovimage @t420 @t14 @t2680) @t3423))))))) % 54.75/54.97 (assume @p3443 (forall @t2791 (=> @t4584 (= (tptp.hAPP @t4645 @t3070) @t1314)))) % 54.75/54.97 (assume @p3444 (forall (@list @t420 @t1314 @t51 @t14) (and (=> @t3621 (= @t4659 @t3357)) (=> @t3622 (= @t4659 @t3522))))) % 54.75/54.97 (assume @p3445 (forall @t4660 (= @t4651 (tptp.hAPP @t3343 (tptp.hAPP (tptp.hAPP @t4301 @t4645) @t4300))))) % 54.75/54.97 (assume @p3446 (forall @t4655 (=> @t4567 (=> @t3607 (= (tptp.hAPP @t4639 @t615) @t16))))) % 54.75/54.97 (assume @p3447 (forall @t4568 (=> @t4567 (=> @t4027 (=> @t3607 (= @t4661 @t16)))))) % 54.75/54.97 (assume @p3448 (forall @t4015 (=> @t4584 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t14 @t420 @t3353 @t2) @t615) @t16)))) % 54.75/54.97 (assume @p3449 (forall @t2791 (=> @t4567 (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 @t4639) @t3070) @t1314)))) % 54.75/54.97 (assume @p3450 (forall @t2791 (=> @t4567 (tptp.c_Fun_Oinj__on @t420 @t14 @t4639 @t3070)))) % 54.75/54.97 (assume @p3451 (forall @t4578 (=> @t4584 (=> @t3486 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4651) @t1314)))))) % 54.75/54.97 (assume @p3452 (forall (@list @t16 @t2 @t1314 @t420 @t14) (= @t4640 (tptp.c_HOL_OThe @t14 (tptp.hAPP @t4664 (tptp.hAPP @t4644 @t16)))))) % 54.75/54.97 (assume @p3453 (forall (@list @t1467 @t420 @t859 @t1314 @t51 @t14) (and (=> @t3621 (and (=> @t4668 (= @t4667 @t3357)) (=> @t4669 (= @t4667 @t1467)))) (=> @t3622 (and (=> @t4668 (= @t4667 (tptp.hAPP @t3363 @t1467))) (=> @t4669 (= @t4667 @t3522))))))) % 54.75/54.97 (assume @p3454 (forall (@list @t659 @t1314 @t2 @t420 @t14) (=> @t4567 (=> @t4605 (= (tptp.hAPP @t2 @t4661) @t659))))) % 54.75/54.97 (assume @p3455 (forall @t4299 (=> @t4298 (not (forall @t8 (=> @t4296 (not @t3307))))))) % 54.75/54.97 (assume @p3456 (forall @t4612 (=> @t4611 (=> @t4567 (=> @t4610 (=> (forall @t8 (=> @t3087 (= @t5 (tptp.hAPP @t4333 @t4)))) @t4609)))))) % 54.75/54.97 (assume @p3457 (forall @t4015 (= (= @t4670 @t3543) (exists @t4272 (= @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t4080) @t16) (tptp.hAPP @t421 @t4271))))))) % 54.75/54.97 (assume @p3458 (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)))) % 54.75/54.97 (assume @p3459 (forall (@list @t347 @t420 @t54 @t14) (= (tptp.hBOOL (tptp.hAPP @t3631 @t4671)) (not (= @t4089 @t425))))) % 54.75/54.97 (assume @p3460 (forall @t4104 (=> @t4103 (tptp.hBOOL (tptp.hAPP @t4518 (tptp.c_Map_Odom @t420 @t14 @t347)))))) % 54.75/54.97 (assume @p3461 (forall (@list @t420 @t659 @t14 @t16 @t2) (=> (= @t615 @t4083) (= @t4673 @t4672)))) % 54.75/54.97 (assume @p3462 (forall (@list @t1314 @t347 @t420 @t14) (= (tptp.c_Map_Odom @t14 @t420 @t4097) (tptp.hAPP (tptp.hAPP @t4380 @t4671) @t1314)))) % 54.75/54.97 (assume @p3463 (forall @t3471 (= (tptp.c_Map_Odom @t14 @t420 @t4080) @t3514))) % 54.75/54.97 (assume @p3464 (forall @t3542 (= (= @t4670 @t3514) (= @t2 @t4080)))) % 54.75/54.97 (assume @p3465 (forall @t3542 (= (tptp.c_Map_Odom @t14 @t420 @t4674) @t3353))) % 54.75/54.97 (assume @p3466 (forall (@list @t1314 @t420 @t14 @t16 @t2) (=> (= @t615 @t285) (= (tptp.hAPP @t4675 @t3614) (tptp.hAPP @t4675 @t1314))))) % 54.75/54.97 (assume @p3467 (forall (@list @t16 @t2 @t420 @t14 @t659) (and (=> @t4677 (= @t4676 (tptp.hAPP @t4675 @t3611))) (=> (not @t4677) (= @t4676 @t4673))))) % 54.75/54.97 (assume @p3468 (forall (@list @t54 @t16 @t1314 @t52 @t14) (=> @t4680 (=> (tptp.hBOOL (tptp.hAPP @t4679 @t16)) (=> @t3632 (=> @t4678 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t14 @t14 @t761 @t54 (tptp.hAPP @t3401 @t3545)) @t16)))))))) % 54.75/54.97 (assume @p3469 (forall (@list @t1314 @t347 @t420 @t659 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3697 (tptp.c_Map_Oran @t420 @t14 (tptp.c_Map_Orestrict__map @t420 @t14 @t347 @t1314)))) (exists @t8 (and @t3307 (= (tptp.hAPP @t347 @t4) @t4083)))))) % 54.75/54.97 (assume @p3470 (forall @t4684 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t14 @t4683) @t16)) @t4682))) % 54.75/54.97 (assume @p3471 (forall (@list @t16 @t1314 @t57 @t2 @t420 @t14) (=> @t4686 @t3415))) % 54.75/54.97 (assume @p3472 (forall (@list @t16 @t57 @t2 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4688 @t16)) @t4687))) % 54.75/54.97 (assume @p3473 (forall @t3827 (tptp.hBOOL (tptp.hAPP @t4688 @t57)))) % 54.75/54.97 (assume @p3474 (forall @t3824 (=> @t3608 (=> @t4690 (tptp.hBOOL (tptp.hAPP @t4689 @t3823)))))) % 54.75/54.97 (assume @p3475 (forall @t2363 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t2357) @t2358)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.c_Wellfounded_Oacc @t14 @t2358)) (tptp.c_Wellfounded_Oacc @t14 @t2357)))))) % 54.75/54.97 (assume @p3476 (forall (@list @t57 @t659 @t1314 @t52 @t14) (=> @t4680 (=> (tptp.hBOOL (tptp.hAPP @t4679 @t659)) (=> @t4678 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t14 @t14 @t761 @t57 @t3637) (tptp.hAPP @t2255 @t659)))))))) % 54.75/54.97 (assume @p3477 (forall (@list @t54 @t2020 @t52 @t14) (=> @t4692 (=> @t4349 @t4691)))) % 54.75/54.97 (assume @p3478 (forall @t4694 (= @t4691 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3797 @t54)) @t2020)) @t4693))))) % 54.75/54.97 (assume @p3479 (forall @t4695 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t14 @t420 @t2 @t57 @t3585) @t659)) (=> @t3607 (tptp.hBOOL (tptp.hAPP @t4685 @t3823)))))) % 54.75/54.97 (assume @p3480 (forall (@list @t16 @t1314 @t54 @t2 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t14 @t14 @t2 @t54 @t1314) @t16)) (=> @t3670 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t3455) @t16)))))) % 54.75/54.97 (assume @p3481 (forall (@list @t97 @t94 @t2461 @t14) (= (tptp.c_Wellfounded_Omax__extp @t14 @t2461 @t94 @t97) (and @t4700 @t4699 @t4698 (forall @t8 (=> @t4697 (exists @t3022 (and @t4696 (tptp.hBOOL (tptp.hAPP @t4551 @t3014)))))))))) % 54.75/54.97 (assume @p3482 (forall (@list @t2461 @t138 @t89 @t14) (=> @t4703 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t138)) (=> (not (= @t138 @t3514)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t89)) (exists @t3022 (and (tptp.hBOOL (tptp.hAPP @t3304 @t138)) @t4702)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t89) @t138)) @t4156)))))))) % 54.75/54.97 (assume @p3483 (forall (@list @t16 @t1314 @t2 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4704 @t16)) @t3530))) % 54.75/54.97 (assume @p3484 (forall (@list @t16 @t2 @t14) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t3514) @t16))))) % 54.75/54.97 (assume @p3485 (forall (@list @t52 @t54 @t2 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t3518) @t52)) @t767))) % 54.75/54.97 (assume @p3486 (forall (@list @t96 @t97 @t94 @t2 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t4707) @t96)) (exists @t4226 (and (= @t4707 @t4706) (tptp.hBOOL (tptp.hAPP @t4705 @t96)) (not @t4225)))))) % 54.75/54.97 (assume @p3487 (forall (@list @t16 @t89 @t54 @t2 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t14 @t2 @t4708) @t16)) (not (forall @t4226 (=> (= @t4708 @t4706) (=> (tptp.hBOOL (tptp.hAPP @t4705 @t16)) @t4225))))))) % 54.75/54.97 (assume @p3488 (forall (@list @t1314 @t1 @t2 @t420 @t14 @t579) (= (tptp.hAPP (tptp.c_Set_Oimage @t579 @t2437 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t579 @t420 @t2437) @t4711) @t1)) @t1314) (tptp.hAPP (tptp.hAPP @t4710 (tptp.hAPP @t3359 @t1314)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2462 @t2731 @t14) @t3054) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t2462 @t2462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2462 @t4709 @t14) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t2462)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t2462 @t14) (tptp.c_Set_Ovimage @t579 @t14 @t2)) @t3569))) @t1314)))))) % 54.75/54.97 (assume @p3489 (forall @t3655 (=> @t3632 (=> @t3654 @t4714)))) % 54.75/54.97 (assume @p3490 (forall @t3334 (= (tptp.hAPP @t4715 (tptp.hAPP (tptp.hAPP @t4720 @t4719) @t1467)) (tptp.hAPP (tptp.hAPP @t4718 @t4717) @t4716)))) % 54.75/54.97 (assume @p3491 (forall @t4725 (= (tptp.hAPP (tptp.hAPP @t4710 @t2572) @t4721) (tptp.hAPP (tptp.hAPP @t4718 @t4724) @t4723)))) % 54.75/54.97 (assume @p3492 (forall @t4728 (= (tptp.hAPP (tptp.hAPP @t4710 (tptp.hAPP (tptp.hAPP @t2570 @t3330) @t4454)) @t2575) (tptp.hAPP (tptp.hAPP @t4718 @t4727) @t4726)))) % 54.75/54.97 (assume @p3493 (forall @t4735 (=> @t4734 (= (= @t4733 @t4731) @t2486)))) % 54.75/54.97 (assume @p3494 (forall (@list @t1467 @t420 @t14) (= (tptp.hAPP (tptp.hAPP @t4710 @t3514) @t1467) @t3665))) % 54.75/54.97 (assume @p3495 (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_String_Ochar tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod tptp.tc_String_Onibble tptp.tc_String_Onibble) tptp.tc_String_Ochar (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_String_Onibble tptp.tc_String_Onibble tptp.tc_String_Ochar) tptp.c_String_Ochar_OChar)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma tptp.tc_String_Onibble tptp.tc_String_Onibble) @t4737) (tptp.hAPP (tptp.c_COMBK @t4736 tptp.tc_String_Onibble) @t4737))))) % 54.75/54.97 (assume @p3496 (forall @t3524 (= (tptp.hAPP @t4740 @t4739) (tptp.hAPP (tptp.hAPP @t818 @t3113) @t3511)))) % 54.75/54.97 (assume @p3497 (forall @t2878 (=> @t2866 (= @t2877 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2442 @t14) @t2434) @t4743))))) % 54.75/54.97 (assume @p3498 (forall @t2880 (= (tptp.hAPP @t4712 (tptp.hAPP @t3534 @t3522)) @t3665))) % 54.75/54.97 (assume @p3499 (forall @t3524 (= (= @t4739 @t3665) (or @t3520 @t3523)))) % 54.75/54.97 (assume @p3500 (forall @t2880 (= (tptp.hAPP @t4746 (tptp.hAPP @t4744 @t4745)) (tptp.hAPP @t4744 (tptp.hAPP @t3534 @t3364))))) % 54.75/54.97 (assume @p3501 (forall @t2880 (= (tptp.hAPP @t4746 (tptp.hAPP @t4712 @t4747)) (tptp.hAPP (tptp.hAPP @t4710 @t2583) @t4747)))) % 54.75/54.97 (assume @p3502 (forall @t2878 (=> @t3082 (= (tptp.hAPP (tptp.hAPP @t4018 (tptp.hAPP (tptp.hAPP @t2876 (tptp.hAPP (tptp.hAPP @t2874 (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t579 @t14)) @t2)) @t1467)) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2442 @t14) @t2434) @t4743))))) % 54.75/54.97 (assume @p3503 (forall @t4728 (= (tptp.hAPP (tptp.hAPP @t4710 (tptp.hAPP (tptp.hAPP @t3144 @t3330) @t4454)) @t2575) (tptp.hAPP (tptp.hAPP @t3686 @t4727) @t4726)))) % 54.75/54.97 (assume @p3504 (forall @t4725 (= (tptp.hAPP (tptp.hAPP @t4710 @t3159) @t4721) (tptp.hAPP (tptp.hAPP @t3686 @t4724) @t4723)))) % 54.75/54.97 (assume @p3505 (forall @t3334 (= (tptp.hAPP @t4715 (tptp.hAPP (tptp.hAPP @t4720 @t3578) @t1467)) (tptp.hAPP (tptp.hAPP @t3686 @t4717) @t4716)))) % 54.75/54.97 (assume @p3506 (forall @t3538 (= (tptp.hAPP (tptp.c_Set_Oimage @t2675 @t2437 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t14 @t2437) @t4749)) @t4748) (tptp.hAPP @t4722 @t4745)))) % 54.75/54.97 (assume @p3507 (forall @t3483 (=> @t3415 (=> @t3484 @t4750)))) % 54.75/54.97 (assume @p3508 (forall @t4345 (=> @t4353 @t4754))) % 54.75/54.97 (assume @p3509 (forall @t4728 (= (tptp.hAPP (tptp.hAPP @t4710 (tptp.hAPP (tptp.hAPP @t4380 @t3330) @t4454)) @t2575) (tptp.hAPP (tptp.hAPP @t4528 @t4727) @t4726)))) % 54.75/54.97 (assume @p3510 (forall @t4725 (= (tptp.hAPP (tptp.hAPP @t4710 @t4382) @t4721) (tptp.hAPP (tptp.hAPP @t4528 @t4724) @t4723)))) % 54.75/54.97 (assume @p3511 (forall @t3334 (= (tptp.hAPP @t4715 (tptp.hAPP (tptp.hAPP @t4720 @t4755) @t1467)) (tptp.hAPP (tptp.hAPP @t4528 @t4717) @t4716)))) % 54.75/54.97 (assume @p3512 (forall @t2584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t4192) @t4753)))) % 54.75/54.97 (assume @p3513 (forall @t3471 (= (tptp.hAPP @t4744 @t4747) @t3475))) % 54.75/54.97 (assume @p3514 (forall @t4756 (= @t4714 (and @t3632 @t3654)))) % 54.75/54.97 (assume @p3515 (forall @t4756 (=> @t4714 @t3632))) % 54.75/54.97 (assume @p3516 (forall @t4756 (=> @t4714 @t3654))) % 54.75/54.97 (assume @p3517 (forall @t4756 (=> @t4714 (not (=> @t3632 (not @t3654)))))) % 54.75/54.97 (assume @p3518 (forall (@list @t1314 @t16 @t420 @t14) (= (tptp.hAPP @t4740 (tptp.hAPP (tptp.hAPP @t4710 @t3543) @t4745)) @t3117))) % 54.75/54.97 (assume @p3519 (forall @t4735 (=> @t4734 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4758 @t4733) @t4731)) (tptp.hBOOL (tptp.hAPP @t4757 @t1467)))))) % 54.75/54.97 (assume @p3520 (forall (@list @t2575 @t1467 @t1314 @t2020 @t420 @t14) (=> @t4760 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 (tptp.hAPP @t4286 @t2575)) @t1467))))) % 54.75/54.97 (assume @p3521 (forall @t3524 (=> @t4750 (=> @t3530 @t3484)))) % 54.75/54.97 (assume @p3522 (forall @t3524 (=> @t4750 (=> (not @t3523) @t3415)))) % 54.75/54.97 (assume @p3523 (forall (@list @t1314 @t420 @t14 @t1467) (and (=> @t3519 (= @t4762 @t3522)) (=> @t3910 (= @t4762 @t1314))))) % 54.75/54.97 (assume @p3524 (forall (@list @t1467 @t420 @t14 @t1314) (and (=> @t3520 (= @t4764 @t3522)) (=> @t3530 (= @t4764 @t1467))))) % 54.75/54.97 (assume @p3525 (forall (@list @t1467 @t52 @t1314 @t54 @t420 @t14) (= (tptp.hAPP @t4765 @t4766) (tptp.hAPP @t4768 (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP @t4712 @t4766)) (tptp.hAPP @t4765 @t4738)))))) % 54.75/54.97 (assume @p3526 (forall (@list @t89 @t2020 @t1314 @t14) (=> @t3415 (=> @t4754 (=> @t4355 @t4703))))) % 54.75/54.97 (assume @p3527 (forall (@list @t3423 @t4769 @t1467 @t1314 @t420 @t14 @t2443 @t579) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2685 @t3474) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t579 @t2443) @t1314) (tptp.hAPP (tptp.c_COMBK @t4773 @t579) @t1467))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t579 @t2443 @t3474) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t579 @t4772 @t4771) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4770 (tptp.tc_fun @t4772 @t4771) @t579) (tptp.c_COMBB @t2732 @t3474 @t2443)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t4770 @t579) @t4710) @t4769))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2731 @t2732 @t2443) @t3534) @t3423)))) (tptp.hAPP (tptp.hAPP @t4710 (tptp.hAPP @t3324 @t4769)) (tptp.hAPP @t3534 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2443 @t2731) @t1467) @t3423)))))) % 54.75/54.97 (assume @p3528 (forall @t3524 (= @t4713 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t3474) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t4776 @t3474) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2731 (tptp.tc_fun @t4776 @t3474) @t14) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t420 @t3474)) @t1467)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t3474 @t4776) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4775 (tptp.tc_fun @t3474 @t4776) @t14) (tptp.c_COMBC @t420 @t3474 @t3474)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 @t4775 @t14) (tptp.hAPP (tptp.c_COMBB @t2437 @t4774 @t420) @t4767)) @t2400))) @t3665)))))) % 54.75/54.97 (assume @p3529 (forall @t4345 (=> @t3415 (=> @t4754 (tptp.hBOOL (tptp.hAPP @t4248 @t4344)))))) % 54.75/54.97 (assume @p3530 (forall (@list @t1467 @t1314 @t2 @t579 @t420 @t14) (= (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t2442 @t2) @t4743) (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t2442 @t420 @t14 @t2567) @t2)) @t1314)) (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t579 (tptp.hAPP (tptp.c_Fun_Ocomp @t2442 @t579 @t14 @t2466) @t2)) @t1467))))) % 54.75/54.97 (assume @p3531 (forall (@list @t1314 @t3330 @t420 @t14) (exists @t4246 (and (tptp.c_Fun_Oinj__on @t14 @t2675 @t4245 @t3333) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4758 (tptp.hAPP (tptp.c_Set_Oimage @t14 @t2675 @t4245) @t3333)) (tptp.hAPP (tptp.hAPP @t4730 @t3330) @t1314))))))) % 54.75/54.97 (assume @p3532 (forall (@list @t1 @t1467 @t420 @t1314 @t14 @t579) (=> @t4611 (=> @t3415 (=> @t3481 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4582 (tptp.hAPP (tptp.hAPP @t4779 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t579 @t4778) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2438 (tptp.tc_fun @t579 @t4778) @t14) @t4583) @t1)) @t4777)) @t1467)) @t4777) @t1314) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t579 @t2437 @t4581) (tptp.hAPP @t2429 @t1)) @t4777) @t4713))))))) % 54.75/54.97 (assume @p3533 (forall @t3483 (=> @t3415 (=> @t4780 (tptp.hBOOL (tptp.hAPP @t3476 @t4713)))))) % 54.75/54.97 (assume @p3534 (forall @t4261 (=> @t4611 (=> @t3415 (=> @t3481 (= (tptp.hAPP (tptp.hAPP @t4606 (tptp.hAPP (tptp.hAPP @t4779 (tptp.hAPP (tptp.hAPP @t4781 @t4607) @t2)) @t1467)) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t2437 @t579) @t2775) @t4713))))))) % 54.75/54.97 (assume @p3535 (forall @t4261 (=> @t4260 (=> @t3415 (=> @t3481 (= (tptp.hAPP (tptp.hAPP @t4259 (tptp.hAPP @t4782 @t1467)) @t1314) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t2437 @t579) @t2775) @t4713))))))) % 54.75/54.97 (assume @p3536 (forall @t3483 (=> @t3415 (=> @t3481 (= (tptp.hAPP @t4740 @t4713) (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4783 @t1467)) @t1314)))))) % 54.75/54.97 (assume @p3537 (forall (@list @t1467 @t1314 @t51 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4786 @t4713)) (not (forall @t8 (=> @t3087 (forall @t260 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3305 @t257) @t3269)) (not (= @t51 @t4785)))))))))) % 54.75/54.97 (assume @p3538 (forall (@list @t1 @t579 @t2443 @t2 @t14 @t420) (=> @t3366 (=> (= (tptp.hAPP @t4791 (tptp.c_Orderings_Otop__class_Otop @t4773)) @t4285) (= (tptp.hAPP @t4790 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t4789 tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop @t4788)))))) % 54.75/54.97 (assume @p3539 (forall (@list @t1467 @t1 @t2443 @t579 @t1314 @t2 @t420 @t14) (=> @t4567 (=> (tptp.c_Fun_Oinj__on @t579 @t2443 @t1 @t1467) (tptp.c_Fun_Oinj__on @t4787 @t4789 (tptp.c_Product__Type_Omap__pair @t14 @t420 @t579 @t2443 @t2 @t1) (tptp.hAPP @t4794 (tptp.hAPP @t4792 @t1467))))))) % 54.75/54.97 (assume @p3540 (forall (@list @t1 @t2 @t2443 @t579 @t2461 @t52 @t54 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3660 @t2461)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4798 (tptp.hAPP (tptp.hAPP @t4797 @t55) @t4796)) (tptp.hAPP (tptp.c_Set_Oimage @t2437 @t2685 @t4795) @t2461)))))) % 54.75/54.97 (assume @p3541 (forall (@list @t1 @t2 @t420 @t14 @t2443 @t579) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t2685 @t579 @t2437 @t2615) @t4795) (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t579 @t2437 @t2) @t2551)))) % 54.75/54.97 (assume @p3542 (forall (@list @t1 @t2 @t420 @t14 @t579 @t2443) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4799 @t579 @t2437 @t2656) (tptp.c_Product__Type_Omap__pair @t14 @t2443 @t420 @t579 @t2 @t1)) (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t579 @t2437 @t1) @t2550)))) % 54.75/54.97 (assume @p3543 (forall (@list @t434 @t2680 @t1 @t2 @t420 @t14 @t2443 @t579 @t2681 @t2441) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t4800 @t2685 @t2437 (tptp.c_Product__Type_Omap__pair @t2441 @t579 @t2681 @t2443 @t2 @t1)) (tptp.c_Product__Type_Omap__pair @t14 @t2441 @t420 @t2681 @t2680 @t434)) (tptp.c_Product__Type_Omap__pair @t14 @t579 @t420 @t2443 (tptp.hAPP (tptp.c_Fun_Ocomp @t2441 @t579 @t14 @t2) @t2680) (tptp.hAPP (tptp.c_Fun_Ocomp @t2681 @t2443 @t420 @t1) @t434))))) % 54.75/54.97 (assume @p3544 (forall (@list @t2687 @t2688 @t2681 @t48 @t49 @t2441 @t2443 @t420 @t579 @t14) (= (tptp.c_Product__Type_Omap__pair @t14 @t579 @t420 @t2443 (tptp.hAPP (tptp.c_Fun_Ocomp @t2441 @t579 @t14 @t49) @t48) (tptp.hAPP (tptp.c_Fun_Ocomp @t2681 @t2443 @t420 @t2688) @t2687)) (tptp.hAPP (tptp.c_Fun_Ocomp @t4800 @t2685 @t2437 (tptp.c_Product__Type_Omap__pair @t2441 @t579 @t2681 @t2443 @t49 @t2688)) (tptp.c_Product__Type_Omap__pair @t14 @t2441 @t420 @t2681 @t48 @t2687))))) % 54.75/54.97 (assume @p3545 (forall (@list @t4801 @t434 @t2680 @t2681 @t2441 @t1 @t2 @t420 @t2443 @t14 @t579) (= (tptp.hAPP @t4802 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2441 @t579 @t2681 @t2443 @t2680 @t434) @t4801)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t2441 @t14 @t2681 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t579 @t14 @t2441 @t2) @t2680) (tptp.hAPP (tptp.c_Fun_Ocomp @t2443 @t420 @t2681 @t1) @t434)) @t4801)))) % 54.75/54.97 (assume @p3546 (forall (@list @t57 @t420 @t14) (= (tptp.hAPP @t4803 @t57) @t57))) % 54.75/54.97 (assume @p3547 (forall (@list @t16 @t1 @t2 @t2443 @t579 @t14 @t420) (= (tptp.hAPP @t2468 (tptp.hAPP (tptp.c_Product__Type_Omap__pair @t579 @t420 @t2443 @t14 @t2 @t1) @t16)) @t2614))) % 54.75/54.97 (assume @p3548 (forall (@list @t16 @t1 @t2 @t2443 @t579 @t420 @t14) (= (tptp.hAPP @t2551 (tptp.hAPP @t4802 @t16)) @t2616))) % 54.75/54.97 (assume @p3549 (forall (@list @t52 @t54 @t1 @t2 @t420 @t2443 @t14 @t579) (= (tptp.hAPP @t4802 (tptp.hAPP (tptp.hAPP @t4797 @t54) @t52)) (tptp.hAPP (tptp.hAPP @t2400 @t55) @t4796)))) % 54.75/54.97 (assume @p3550 (forall (@list @t1 @t2 @t2443 @t420 @t579 @t14) (= @t4795 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t2685) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4806 @t4805) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4804 (tptp.tc_fun @t4806 @t4805) @t14) (tptp.c_COMBB @t2443 @t2685 @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t579 @t4804 @t14) @t4797) @t2))) @t1))))) % 54.75/54.97 (assume @p3551 (forall (@list @t4807 @t1467 @t1 @t579 @t2443 @t4288 @t1314 @t2 @t14 @t420) (=> (= @t3066 @t4288) (=> (= (tptp.hAPP @t4791 @t1467) @t4807) (= (tptp.hAPP @t4790 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t420 @t2443) @t1314) (tptp.hAPP (tptp.c_COMBK @t4773 @t420) @t1467))) (tptp.hAPP (tptp.hAPP @t4793 @t4288) (tptp.hAPP @t4792 @t4807))))))) % 54.75/54.97 (assume @p3552 (forall (@list @t2461 @t1 @t2 @t2443 @t579 @t51 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4786 (tptp.hAPP (tptp.c_Set_Oimage @t2685 @t2437 @t4802) @t2461))) (not (forall @t2496 (=> (= @t51 (tptp.hAPP (tptp.hAPP @t2400 @t6) (tptp.hAPP @t1 @t257))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4798 (tptp.hAPP (tptp.hAPP @t4797 @t4) @t257)) @t2461))))))))) % 54.75/54.97 (assume @p3553 (forall @t4345 (= @t4809 (and @t4754 @t4808)))) % 54.75/54.97 (assume @p3554 (forall @t2584 (tptp.c_Relation_Orefl__on @t14 @t1314 @t4192))) % 54.75/54.97 (assume @p3555 (forall @t1799 (tptp.c_Relation_Orefl__on @t14 @t3514 @t3793))) % 54.75/54.97 (assume @p3556 (forall @t4811 (=> @t4809 (=> @t4810 (tptp.c_Relation_Orefl__on @t14 @t3159 @t4202))))) % 54.75/54.97 (assume @p3557 (forall @t4811 (=> @t4809 (=> @t4810 (tptp.c_Relation_Orefl__on @t14 @t4382 (tptp.hAPP @t4813 @t98)))))) % 54.75/54.97 (assume @p3558 (forall @t4359 (=> @t4809 (=> @t3632 @t4815)))) % 54.75/54.97 (assume @p3559 (forall @t4357 (=> @t4809 (=> @t4356 @t3607)))) % 54.75/54.97 (assume @p3560 (forall @t4357 (=> @t4809 (=> @t4356 @t3698)))) % 54.75/54.97 (assume @p3561 (forall @t4816 (=> @t4754 (=> @t4808 @t4809)))) % 54.75/54.97 (assume @p3562 (forall @t2491 (=> @t4680 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (=> @t4424 @t4819)))))))) % 54.75/54.97 (assume @p3563 (forall (@list @t54 @t2 @t14) (= (tptp.hAPP @t4820 @t3518) @t54))) % 54.75/54.97 (assume @p3564 (forall (@list @t54 @t2 @t14 @t1) (=> (= @t1 @t4820) (= (tptp.hAPP @t1 @t3518) @t54)))) % 54.75/54.97 (assume @p3565 (forall @t3997 (=> @t3821 @t4822))) % 54.75/54.97 (assume @p3566 (forall @t2966 (= @t4821 (tptp.c_HOL_OThe @t14 @t4704)))) % 54.75/54.97 (assume @p3567 (forall @t2584 (=> @t3186 (=> @t3415 (= @t3883 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t14 @t3185) @t1314)))))) % 54.75/54.97 (assume @p3568 (forall @t2584 (=> @t3186 (=> @t3415 (= @t4539 @t4823))))) % 54.75/54.97 (assume @p3569 (forall @t2584 (=> @t704 (=> @t3415 (= @t3924 @t4825))))) % 54.75/54.97 (assume @p3570 (forall @t2584 (=> @t704 (=> @t3415 (= @t3921 @t4826))))) % 54.75/54.97 (assume @p3571 (forall @t2584 (=> @t704 (=> @t3415 (= @t3980 @t4825))))) % 54.75/54.97 (assume @p3572 (forall @t2584 (=> @t704 (=> @t3415 (= @t3978 @t4826))))) % 54.75/54.97 (assume @p3573 (forall @t3457 (=> @t4395 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t4823) @t54))))))) % 54.75/54.97 (assume @p3574 (forall @t3495 (=> @t4395 (=> @t3415 (=> @t3530 (= (tptp.hBOOL (tptp.hAPP @t1026 @t4823)) @t4828)))))) % 54.75/54.97 (assume @p3575 (forall @t3457 (=> @t704 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP @t4829 @t54))))))) % 54.75/54.97 (assume @p3576 (forall @t3495 (=> @t4831 (=> @t3530 (=> @t3415 @t4830))))) % 54.75/54.97 (assume @p3577 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hBOOL (tptp.hAPP @t1026 @t4825)) @t4828)))))) % 54.75/54.97 (assume @p3578 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hBOOL (tptp.hAPP @t4829 @t16)) (exists @t8 (and @t3087 (tptp.hBOOL (tptp.hAPP @t4832 @t16)))))))))) % 54.75/54.97 (assume @p3579 (forall @t2491 (=> @t4831 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 @t4819))))))) % 54.75/54.97 (assume @p3580 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t4825) @t16)) (exists @t8 (and @t3087 (tptp.hBOOL (tptp.hAPP @t3091 @t16)))))))))) % 54.75/54.97 (assume @p3581 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hBOOL (tptp.hAPP @t701 @t4825)) (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP @t701 @t4)))))))))) % 54.75/54.97 (assume @p3582 (forall @t3495 (=> @t4680 (=> @t3530 (=> @t3415 (=> @t3608 @t4830)))))) % 54.75/54.97 (assume @p3583 (forall @t2491 (=> @t704 (=> @t3530 (=> @t2490 (=> @t3388 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t4824 @t1467)) @t4825)))))))) % 54.75/54.97 (assume @p3584 (forall @t3997 (=> (tptp.c_Big__Operators_Osemilattice__big @t14 @t2 @t3423) @t4822))) % 54.75/54.97 (assume @p3585 (forall @t2584 (=> @t4680 (=> @t3415 (=> @t3530 (=> (forall @t2496 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t4833) @t3918))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t4818) @t1314)))))))) % 54.75/54.97 (assume @p3586 (forall @t4125 (=> @t4831 (=> (forall @t2496 (= (tptp.hAPP @t2680 @t4833) (tptp.hAPP (tptp.hAPP @t761 @t4123) @t4122))) (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.hAPP @t4817 @t3396)) (tptp.hAPP @t4817 @t4120)))))))) % 54.75/54.97 (assume @p3587 (forall @t4060 (=> @t3761 (=> @t4058 @t4059)))) % 54.75/54.97 (assume @p3588 (forall (@list @t3396 @t2680 @t3423 @t2 @t14) (=> @t4231 (=> (forall @t2496 (= (tptp.hAPP @t2680 @t2755) (tptp.hAPP (tptp.hAPP @t2 @t4123) @t4122))) (=> @t3934 (=> @t4121 (= (tptp.hAPP @t2680 (tptp.hAPP @t3423 @t3396)) (tptp.hAPP @t3423 @t4120)))))))) % 54.75/54.97 (assume @p3589 (forall @t3765 (=> @t4835 (not (forall @t8 (not (= @t659 @t4834))))))) % 54.75/54.97 (assume @p3590 (forall (@list @t87 @t659) (=> @t4835 (=> (forall @t8 (tptp.hBOOL (tptp.hAPP @t87 @t4834))) (tptp.hBOOL @t2597))))) % 54.75/54.97 (assume @p3591 (forall @t1799 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t2359 @t4837))) % 54.75/54.97 (assume @p3592 (forall @t4015 (=> @t4838 @t4556))) % 54.75/54.97 (assume @p3593 (forall @t1799 (=> @t704 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t14 @t2506)))) % 54.75/54.97 (assume @p3594 (forall @t1799 (=> @t4831 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t14 @t761)))) % 54.75/54.97 (assume @p3595 (forall @t1799 (=> @t3212 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t14 @t3185)))) % 54.75/54.97 (assume @p3596 (forall @t4587 (=> @t4838 (tptp.c_Finite__Set_Ofun__left__comm__idem @t579 @t420 @t4839)))) % 54.75/54.97 (assume @p3597 (forall (@list @t57 @t16 @t2 @t420 @t14) (=> @t4838 (= (tptp.hAPP @t615 @t4840) @t4840)))) % 54.75/54.97 (assume @p3598 (forall @t1799 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t2359 @t3392))) % 54.75/54.97 (assume @p3599 (forall @t1799 (=> @t4395 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t14 @t4392)))) % 54.75/54.97 (assume @p3600 (forall @t1799 (=> @t704 (tptp.c_Finite__Set_Ofun__left__comm__idem @t14 @t14 @t2630)))) % 54.75/54.97 (assume @p3601 (forall @t4489 (=> @t3617 (=> @t3616 (=> @t3484 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3306 @t4469)) (= @t5 @t57))) @t4505)))))) % 54.75/54.97 (assume @p3602 (forall @t4853 (=> (not @t4852) (= @t4850 @t4845)))) % 54.75/54.97 (assume @p3603 (forall @t4858 (=> @t4857 @t4856))) % 54.75/54.97 (assume @p3604 (forall @t4865 (=> (or @t4864 @t4863) (tptp.hBOOL (tptp.hAPP @t3387 @t4861))))) % 54.75/54.97 (assume @p3605 (forall @t1915 (tptp.hBOOL (tptp.hAPP @t3389 (tptp.hAPP @t4844 (tptp.hAPP @t4841 @t349)))))) % 54.75/54.97 (assume @p3606 (forall @t1915 (tptp.hBOOL (tptp.hAPP @t3389 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP @t2928 @t963) @t349)))))) % 54.75/54.97 (assume @p3607 (forall @t4858 (and (=> @t4857 (= @t4866 @t3518)) (=> @t4867 (= @t4866 @t3514))))) % 54.75/54.97 (assume @p3608 (forall @t4858 (and (=> @t4857 (= @t4868 @t3518)) (=> @t4867 (= @t4868 @t3514))))) % 54.75/54.97 (assume @p3609 (forall @t392 (= @t4869 @t3518))) % 54.75/54.97 (assume @p3610 (forall @t392 (= (tptp.hAPP @t4854 @t2457) @t3518))) % 54.75/54.97 (assume @p3611 (forall @t3707 (= @t3394 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t4870 @t2771)) @t4500))))) % 54.75/54.97 (assume @p3612 (forall @t4865 (= (tptp.hBOOL (tptp.hAPP @t3387 @t4871)) (and @t4864 @t4863)))) % 54.75/54.97 (assume @p3613 (forall @t4865 (= @t4861 (tptp.hAPP (tptp.hAPP @t4380 @t4855) @t4862)))) % 54.75/54.97 (assume @p3614 (forall @t4872 (= @t4855 @t87))) % 54.75/54.97 (assume @p3615 (forall @t4876 (= (tptp.hAPP @t3393 @t4855) (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t4875 (tptp.hAPP @t4874 @t2771))) @t87))))) % 54.75/54.97 (assume @p3616 (forall @t1799 (= @t3514 (tptp.hAPP @t4854 @t4878)))) % 54.75/54.97 (assume @p3617 (forall @t4872 (= (= @t3514 @t4855) @t4880))) % 54.75/54.97 (assume @p3618 (forall @t4872 (= (= @t4855 @t3514) @t4880))) % 54.75/54.97 (assume @p3619 (forall @t4865 (= @t4871 (tptp.hAPP (tptp.hAPP @t3144 @t4855) @t4862)))) % 54.75/54.97 (assume @p3620 (forall @t4876 (=> @t4856 @t4857))) % 54.75/54.97 (assume @p3621 (forall @t4876 (= @t4856 @t4857))) % 54.75/54.97 (assume @p3622 (forall @t2584 (= (tptp.hAPP @t4854 @t4252) @t1314))) % 54.75/54.97 (assume @p3623 (forall @t4872 (= @t4883 @t4881))) % 54.75/54.97 (assume @p3624 (forall @t1799 (= @t3353 (tptp.hAPP @t4854 (tptp.hAPP @t4877 tptp.c_fTrue))))) % 54.75/54.97 (assume @p3625 (forall (@list @t87 @t2 @t420 @t14) (= (tptp.hAPP @t4645 @t4886) (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4884 @t87) @t2))))) % 54.75/54.97 (assume @p3626 (forall @t4890 (= (tptp.hAPP @t4889 (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP @t2765 @t4888) @t2599))) (tptp.hAPP @t4887 (tptp.hAPP @t3534 (tptp.hAPP @t4885 @t2599)))))) % 54.75/54.97 (assume @p3627 (forall @t4890 (= (tptp.hAPP @t4889 (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP @t4720 @t4888) @t2599))) (tptp.hAPP @t4887 (tptp.hAPP @t4891 @t2599))))) % 54.75/54.97 (assume @p3628 (forall (@list @t87 @t1314 @t16 @t14) (= (tptp.hBOOL (tptp.hAPP @t3606 @t4892)) (and @t3607 @t2739)))) % 54.75/54.97 (assume @p3629 (forall @t2491 (= @t4382 @t4893))) % 54.75/54.97 (assume @p3630 (forall @t2491 (= @t3159 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t4870 @t4252)) @t4500))))) % 54.75/54.97 (assume @p3631 (forall @t2491 (= @t2572 (tptp.hAPP @t4854 (tptp.hAPP @t4664 (tptp.hAPP @t4874 @t4500)))))) % 54.75/54.97 (assume @p3632 (forall @t4872 (=> @t4864 (= (tptp.hBOOL (tptp.hAPP @t3387 @t4883)) @t3465)))) % 54.75/54.97 (assume @p3633 (forall @t3707 (= @t3394 (tptp.hAPP (tptp.hAPP @t3144 @t4869) @t1467)))) % 54.75/54.97 (assume @p3634 (forall @t2584 (= @t2583 (tptp.hAPP @t4854 (tptp.hAPP @t4874 @t4252))))) % 54.75/54.97 (assume @p3635 (forall @t4660 (= @t4651 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t2731 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 (tptp.tc_fun @t2731 tptp.tc_HOL_Obool) @t14) @t3305) @t2)) @t1467))))) % 54.75/54.97 (assume @p3636 (forall @t4865 (= (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t4875 @t87)) @t2599)) (tptp.hAPP (tptp.hAPP @t3144 @t4881) @t4862)))) % 54.75/54.97 (assume @p3637 (forall @t4896 (= @t4671 (tptp.hAPP @t4854 (tptp.hAPP @t4874 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4074 tptp.tc_HOL_Obool) (tptp.hAPP @t4895 @t347)) @t425)))))) % 54.75/54.97 (assume @p3638 (forall @t731 (tptp.hBOOL (tptp.hAPP @t3389 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP @t2931 (tptp.hAPP @t2929 @t87)) @t4846)))))) % 54.75/54.97 (assume @p3639 (forall (@list @t2461 @t2 @t4206 @t420 @t3133 @t14 @t579) (=> @t4260 (=> @t3761 (=> @t4904 (= (tptp.hAPP (tptp.hAPP @t4259 (tptp.hAPP @t4782 @t4903)) @t3133) (tptp.hAPP (tptp.hAPP @t4258 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t420 @t2359 @t579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t14 @t579) (tptp.tc_fun @t2359 @t579) @t420) @t4259) (tptp.hAPP (tptp.c_COMBC @t14 @t420 @t579) @t2))) (tptp.hAPP @t4899 (tptp.hAPP (tptp.hAPP @t4444 @t4898) @t4897)))) @t4206))))))) % 54.75/54.97 (assume @p3640 (forall (@list @t3133 @t1 @t2 @t87 @t14 @t420) (= (tptp.hAPP (tptp.c_Set_Oimage @t420 @t14 (tptp.hAPP (tptp.hAPP @t2884 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t420 @t14 @t2256) (tptp.hAPP @t4666 @t87)) @t2)) @t1)) @t3133) (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP @t3055 (tptp.hAPP @t4906 @t4886))) (tptp.hAPP @t3491 (tptp.hAPP @t4906 (tptp.hAPP @t4885 (tptp.hAPP @t4905 @t87)))))))) % 54.75/54.97 (assume @p3641 (forall (@list @t1 @t2 @t87 @t420 @t14) (= (tptp.c_Map_Odom @t14 @t420 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t4074 @t4074) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t4074 @t4908) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t4074 @t4908) @t14) (tptp.c_If @t4074)) @t87)) @t2)) @t1)) (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP (tptp.hAPP @t4380 @t4670) @t4855)) (tptp.hAPP (tptp.hAPP @t4380 @t4907) @t4883))))) % 54.75/54.97 (assume @p3642 (forall (@list @t102 @t2 @t14 @t1314) (=> (= @t1314 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t14 @t2) (tptp.hAPP @t4844 (tptp.hAPP @t4841 @t102)))) @t3415))) % 54.75/54.97 (assume @p3643 (forall @t4503 (=> @t3092 (=> @t3415 (= (tptp.hAPP @t3090 @t4893) @t4501))))) % 54.75/54.97 (assume @p3644 (forall (@list @t2 @t579 @t1 @t3133 @t14 @t420) (=> @t3092 (=> @t3761 (= (tptp.hAPP @t3089 @t3133) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t579 @t420) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t420 @t579) @t3089) (tptp.hAPP (tptp.hAPP @t4451 @t4854) (tptp.hAPP (tptp.hAPP @t4451 @t4898) (tptp.hAPP (tptp.c_COMBC @t14 @t579 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t579 @t2462 @t14) tptp.c_fequal) @t2)))))) (tptp.hAPP @t4574 @t3133))))))) % 54.75/54.97 (assume @p3645 (forall (@list @t54 @t2020 @t14 @t420) (= @t4304 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4291 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2675 @t4909 @t14) @t4295) @t4302)) @t2020))))) % 54.75/54.97 (assume @p3646 (forall (@list @t1 @t2 @t87 @t1314 @t14 @t420) (=> @t3092 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t3088 (tptp.hAPP (tptp.hAPP @t3434 (tptp.hAPP (tptp.hAPP @t3754 (tptp.hAPP @t3753 @t87)) @t2)) @t1)) @t1314) (tptp.hAPP (tptp.hAPP @t3430 (tptp.hAPP @t3090 @t4892)) (tptp.hAPP @t3089 (tptp.hAPP @t4381 @t4881)))))))) % 54.75/54.97 (assume @p3647 (forall @t4853 (=> @t4852 (= (tptp.hAPP tptp.c_Nat_OSuc @t4850) @t4845)))) % 54.75/54.97 (assume @p3648 (forall @t4853 (=> @t4852 (not (= @t4845 @t19))))) % 54.75/54.97 (assume @p3649 (forall @t2886 (= (tptp.c_Map_Odom @t14 @t420 (tptp.c_Fun_Ooverride__on @t14 @t4074 @t2 @t1 @t1314)) (tptp.hAPP (tptp.hAPP @t3144 (tptp.hAPP (tptp.hAPP @t2570 @t4670) (tptp.hAPP @t4854 (tptp.hAPP @t3689 (tptp.hAPP @t2571 @t4907))))) (tptp.hAPP @t4854 (tptp.hAPP @t3689 (tptp.hAPP @t4381 @t4907))))))) % 54.75/54.97 (assume @p3650 (forall (@list @t349 @t2461 @t4206 @t420 @t3133 @t14) (=> @t3761 (=> @t4904 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3306 @t4206)) (= (tptp.hAPP @t3112 (tptp.hAPP @t4854 (tptp.hAPP @t4898 @t4910))) @t349))) (= (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4783 @t4903)) @t3133) (tptp.hAPP @t1039 (tptp.hAPP @t3116 @t4206)))))))) % 54.75/54.97 (assume @p3651 (forall @t2584 (=> @t3415 (tptp.hBOOL (tptp.hAPP @t4248 @t4912))))) % 54.75/54.97 (assume @p3652 (forall @t2584 (= @t4219 @t4912))) % 54.75/54.97 (assume @p3653 (forall @t4915 @t4914)) % 54.75/54.97 (assume @p3654 (forall @t4915 @t4916)) % 54.75/54.97 (assume @p3655 (forall @t4917 (= (tptp.c_Fun_Ooverride__on @t14 @t420 @t2 @t1 @t3514) @t2))) % 54.75/54.97 (assume @p3656 (forall @t3471 (tptp.c_Fun_Oinj__on @t1007 @t3474 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3474 @t3474 @t1007) @t4889) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2732 @t3474 @t1007) @t2403) (tptp.hAPP @t4641 (tptp.hAPP (tptp.c_COMBC @t420 @t420 tptp.tc_HOL_Obool) tptp.c_fequal)))) @t3472))) % 54.75/54.97 (assume @p3657 (forall @t1145 (tptp.c_Nat__Transfer_Onat__set @t4919))) % 54.75/54.97 (assume @p3658 (forall @t4915 (and @t4914 @t4916))) % 54.75/54.97 (assume @p3659 (forall @t1799 (= @t3964 (tptp.hAPP (tptp.c_Set_OCollect @t3966) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2359 @t2359 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP @t4925 (tptp.hAPP @t4924 (tptp.hAPP @t4922 @t2586))) @t3387)))))) % 54.75/54.97 (assume @p3660 (forall (@list @t2 @t2020 @t14 @t420) (= @t4184 (tptp.hAPP @t4930 (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4174 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4929 (tptp.tc_fun @t4174 @t2359) @t14) (tptp.c_COMBC @t14 @t4174 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4927 @t4929 @t14) (tptp.hAPP (tptp.c_COMBB @t3959 @t4928 @t14) @t3960)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t1007 @t4927) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4926 (tptp.tc_fun @t1007 @t4927) @t14) (tptp.c_COMBB @t420 @t3959 @t14)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t4926 @t14) @t3958) @t2))) @t2)))) @t2020)))))) % 54.75/54.97 (assume @p3661 (forall @t1145 (= @t4919 (tptp.hAPP @t3044 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t87) @t625)))))) % 54.75/54.97 (assume @p3662 (forall @t1145 (= (tptp.hAPP @t4844 @t87) (tptp.hAPP @t3114 (tptp.hAPP @t4918 (tptp.hAPP @t2456 (tptp.hAPP (tptp.hAPP @t2250 @t87) tptp.c_Int_Onat))))))) % 54.75/54.97 (assume @p3663 (forall @t3524 (= (tptp.c_Nitpick_Oprod @t14 @t420 @t1314 @t1467) (tptp.hAPP @t4889 (tptp.hAPP @t2403 @t4931))))) % 54.75/54.97 (assume @p3664 (forall @t4935 (= @t4934 (tptp.hAPP @t4933 (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint @t2377 @t2377) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2237 @t2459 tptp.tc_Int_Oint) @t2235) @t4932)) @t632)))))) % 54.75/54.97 (assume @p3665 (forall @t4935 (= @t4936 (tptp.hAPP @t4933 (tptp.hAPP @t2380 (tptp.hAPP (tptp.hAPP @t2379 (tptp.hAPP @t2239 @t4932)) @t632)))))) % 54.75/54.97 (assume @p3666 (forall @t2023 (= @t4938 (tptp.c_Relation_Orefl__on @t14 @t3353 @t4937)))) % 54.75/54.97 (assume @p3667 (forall @t4684 (=> @t4938 (tptp.hBOOL (tptp.hAPP @t4939 @t16))))) % 54.75/54.97 (assume @p3668 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (= (tptp.hAPP (tptp.hAPP @t2506 @t3978) @t3988) (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP @t4955 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t4951 (tptp.hAPP @t4950 (tptp.hAPP @t4947 (tptp.hAPP @t4945 @t2506))))) @t4942))))))))))))) % 54.75/54.97 (assume @p3669 (forall @t2491 (=> @t704 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (= (tptp.hAPP (tptp.hAPP @t2630 @t3980) @t3987) (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP @t4955 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t4951 (tptp.hAPP @t4950 (tptp.hAPP @t4947 (tptp.hAPP @t4945 @t2630))))) @t4942))))))))))))) % 54.75/54.97 (assume @p3670 (forall (@list @t2599 @t420 @t87 @t14) (=> @t4864 (= (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP @t4885 (tptp.hAPP @t4958 (tptp.hAPP (tptp.hAPP @t4444 @t4860) @t2599))))) (forall @t260 (=> (tptp.hBOOL @t2494) (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP @t4885 (tptp.hAPP (tptp.hAPP @t4956 @t2599) @t257)))))))))) % 54.75/54.97 (assume @p3671 (forall @t4171 (=> @t4864 (tptp.hBOOL (tptp.hAPP @t3459 (tptp.hAPP @t4885 (tptp.hAPP @t4958 (tptp.hAPP (tptp.hAPP @t3295 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4193 @t3293 @t420) @t4663) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t4193 @t420) @t2761) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t1007 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2731 @t4959 @t420) @t4884) tptp.c_fequal)) @t2)))) @t87)))))))) % 54.75/54.97 (assume @p3672 (forall (@list @t347 @t14 @t420) (= @t4088 (tptp.hAPP @t4854 (tptp.hAPP @t4963 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2706 @t2731 @t14) (tptp.hAPP @t4961 (tptp.hAPP @t4960 @t347))) @t292)))))) % 54.75/54.97 (assume @p3673 (forall @t2584 (= (tptp.hAPP @t4218 @t2583) (tptp.hAPP @t4911 (tptp.hAPP (tptp.hAPP @t4964 (tptp.c_HOL_OEx @t2359)) (tptp.hAPP (tptp.hAPP @t4925 (tptp.hAPP @t4924 (tptp.hAPP @t4922 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2359 @t3293 @t4237) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4237 (tptp.tc_fun @t3293 @t4237) @t2359) (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t2359)) tptp.c_fequal)) @t2581)))) (tptp.hAPP (tptp.hAPP @t4964 @t4235) @t4218))))))) % 54.75/54.97 (assume @p3674 (forall @t4969 (=> @t4968 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t4965 @t3938) (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t4967))))))) % 54.75/54.97 (assume @p3675 (forall @t4969 (=> @t4968 (=> @t3934 (=> @t4121 (= (tptp.hAPP @t4965 @t3933) (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t4967))))))) % 54.75/54.97 (assume @p3676 (forall @t3495 (=> @t4970 (=> @t3415 (=> @t3530 (= (tptp.hAPP @t3225 @t4539) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4948 (tptp.hAPP @t4194 (tptp.hAPP @t4966 @t3225)))) @t4252)))))))))) % 54.75/54.97 (assume @p3677 (forall @t2491 (=> @t4970 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (= (tptp.hAPP (tptp.hAPP @t3185 @t4539) @t4545) (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP @t4955 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t4951 (tptp.hAPP @t4950 (tptp.hAPP @t4947 (tptp.hAPP @t4945 @t3185))))) @t4942))))))))))))) % 54.75/54.97 (assume @p3678 (forall @t2491 (=> @t4970 (=> @t3415 (=> @t3530 (=> @t3388 (=> @t3910 (= (tptp.hAPP (tptp.hAPP @t4392 @t3883) @t3909) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP @t4955 (tptp.hAPP (tptp.hAPP @t4952 (tptp.hAPP @t4951 (tptp.hAPP @t4950 (tptp.hAPP @t4947 (tptp.hAPP @t4945 @t4392))))) @t4942))))))))))))) % 54.75/54.97 (assume @p3679 (forall @t3495 (=> @t4970 (=> @t3415 (=> @t3530 (= (tptp.hAPP @t4393 @t3883) (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4948 (tptp.hAPP @t4194 (tptp.hAPP @t4966 @t4393)))) @t4252)))))))))) % 54.75/54.97 (assume @p3680 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hAPP @t2631 @t3980) (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4948 (tptp.hAPP @t4194 (tptp.hAPP @t4966 @t2631)))) @t4252)))))))))) % 54.75/54.97 (assume @p3681 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3530 (= (tptp.hAPP @t2507 @t3978) (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 (tptp.hAPP @t4854 (tptp.hAPP @t4954 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4948 (tptp.hAPP @t4194 (tptp.hAPP @t4966 @t2507)))) @t4252)))))))))) % 54.75/54.97 (assume @p3682 (forall (@list @t1467 @t1314 @t1 @t2 @t420 @t14 @t579) (=> (tptp.class_Rings_Osemiring__0 @t579) (=> (tptp.c_Fun_Oinj__on @t2437 @t579 (tptp.hAPP @t2429 @t4972) @t4739) (= (tptp.hAPP (tptp.hAPP @t4581 (tptp.hAPP (tptp.hAPP @t4259 @t2) @t1314)) (tptp.hAPP (tptp.hAPP @t4258 @t1) @t1467)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t579 @t579) (tptp.c_Fun_Oid @t579)) (tptp.hAPP (tptp.c_Set_OCollect @t579) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t579) @t4953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2732 @t2359 @t579) @t4963) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t579 @t2732 @t2732) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4977 (tptp.tc_fun @t2732 @t2732) @t579) @t4720) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4976 @t4977 @t579) (tptp.hAPP (tptp.c_COMBB @t4975 @t2763 @t14) @t4902)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2732 @t4976 @t579) (tptp.hAPP (tptp.c_COMBB @t2731 @t4975 @t14) @t4901)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t579 @t4974 @t2732) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4973 (tptp.tc_fun @t4974 @t2732) @t579) (tptp.c_COMBB @t2438 @t2731 @t14)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2462 @t4973 @t579) (tptp.c_COMBB @t579 tptp.tc_HOL_Obool @t420)) tptp.c_fequal))) @t4972))))) @t4931)))))))))) % 54.75/54.97 (assume @p3683 (forall (@list @t349 @t2461 @t104 @t420 @t98 @t14) (=> @t4013 (=> (tptp.hBOOL (tptp.hAPP @t3459 @t104)) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3306 @t104)) (= (tptp.hAPP @t3112 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t2761 (tptp.hAPP @t3689 @t98))) @t4910))) (tptp.hAPP @t349 @t4)))) (= (tptp.hAPP (tptp.hAPP @t2963 (tptp.hAPP @t4783 (tptp.hAPP @t4891 (tptp.hAPP (tptp.hAPP @t3562 (tptp.hAPP @t4902 (tptp.hAPP @t4901 (tptp.hAPP @t3745 @t104)))) @t2461)))) @t98) (tptp.hAPP (tptp.hAPP @t2859 @t349) @t104))))))) % 54.75/54.97 (assume @p3684 (forall @t2584 (tptp.c_Fun_Oinj__on @t14 @t14 @t4978 @t1314))) % 54.75/54.97 (assume @p3685 (forall @t3542 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t420 @t14 @t2) @t4978) @t2))) % 54.75/54.97 (assume @p3686 (forall (@list @t1 @t14 @t420) (= (tptp.hAPP @t4980 @t1) @t1))) % 54.75/54.97 (assume @p3687 (forall @t4283 (=> (= @t4273 (tptp.hAPP @t4980 @t51)) @t4282))) % 54.75/54.97 (assume @p3688 (forall @t2584 (= (tptp.hAPP (tptp.c_Set_Ovimage @t14 @t14 @t4978) @t1314) @t1314))) % 54.75/54.97 (assume @p3689 (forall (@list @t4981 @t289) (= (tptp.hAPP @t4982 @t4981) @t4981))) % 54.75/54.97 (assume @p3690 (forall @t291 (= (tptp.hAPP @t4982 @t288) @t288))) % 54.75/54.97 (assume @p3691 (forall @t3471 (= (tptp.c_Product__Type_Oapfst @t14 @t14 @t420 @t4978) @t4983))) % 54.75/54.97 (assume @p3692 (forall @t4107 (= (tptp.c_Product__Type_Oapsnd @t420 @t420 @t14 @t4979) @t4983))) % 54.75/54.97 (assume @p3693 (= @t879 (tptp.c_Fun_Oid tptp.tc_Int_Oint))) % 54.75/54.97 (assume @p3694 (forall @t3471 (= @t4803 @t4983))) % 54.75/54.97 (assume @p3695 (forall @t3471 (= (tptp.c_Product__Type_Omap__pair @t14 @t14 @t420 @t420 @t4978 @t4979) @t4983))) % 54.75/54.97 (assume @p3696 (forall @t3352 (= (tptp.hAPP @t4984 @t138) @t138))) % 54.75/54.97 (assume @p3697 (forall @t1799 (= (tptp.hAPP @t4984 @t3353) @t3353))) % 54.75/54.97 (assume @p3698 (forall (@list @t3423 @t2 @t420 @t14) (=> @t4317 (= (tptp.hAPP @t3423 @t3514) @t4979)))) % 54.75/54.97 (assume @p3699 (forall @t2673 (= (tptp.c_Product__Type_Oapfst @t14 @t579 @t420 @t2) (tptp.c_Product__Type_Omap__pair @t14 @t579 @t420 @t420 @t2 @t4979)))) % 54.75/54.97 (assume @p3700 (forall (@list @t2 @t14 @t579 @t420) (= (tptp.c_Product__Type_Oapsnd @t420 @t579 @t14 @t2) (tptp.c_Product__Type_Omap__pair @t14 @t14 @t420 @t579 @t4978 @t2)))) % 54.75/54.97 (assume @p3701 (forall @t3471 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t2437) @t2400) @t4983))) % 54.75/54.97 (assume @p3702 (forall @t4985 (=> @t3092 (=> @t4577 (= @t3445 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t420 @t420) @t4979) @t3069)))))) % 54.75/54.97 (assume @p3703 (forall @t4985 (=> @t4008 (=> @t4577 (= @t4061 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod @t420 @t420) @t4979) @t3069)))))) % 54.75/54.97 (assume @p3704 (forall @t2584 (= @t3415 (exists (@list @t176 @t4245) (= @t1314 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat @t14 @t4245) (tptp.hAPP @t4844 (tptp.hAPP @t4841 @t176)))))))) % 54.75/54.97 (assume @p3705 (forall (@list @t98 @t2020 @t420 @t579 @t14) (= @t4996 (tptp.hAPP @t4889 (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3626 @t2731 @t14) (tptp.hAPP (tptp.c_COMBB @t2462 tptp.tc_HOL_Obool @t420) (tptp.c_HOL_OEx @t579))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t3626 @t3626) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4709 (tptp.tc_fun @t3626 @t3626) @t14) (tptp.c_COMBB @t2462 @t2462 @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4994 @t4709 @t14) (tptp.c_COMBS @t579 tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2462 @t4994 @t14) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t2237 @t579) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4788 @t2462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4993 (tptp.tc_fun @t4788 @t2462) @t14) (tptp.c_COMBC @t579 @t4788 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t579 @t4787) @t4993 @t14) (tptp.hAPP (tptp.c_COMBB @t4787 @t4992 @t579) @t4991)) @t2422))) @t2020))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t4988 @t2462) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4990 (tptp.tc_fun @t4988 @t2462) @t420) (tptp.c_COMBC @t579 @t4988 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t579 @t4986) @t4990 @t420) (tptp.hAPP (tptp.c_COMBB @t4986 @t4989 @t579) @t4987)) (tptp.hAPP (tptp.c_COMBC @t579 @t420 @t4986) @t2649)))) @t98)))))))) % 54.75/54.97 (assume @p3706 (forall (@list @t98 @t51 @t579 @t2020 @t52 @t54 @t420 @t14) (=> @t4293 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3734 (tptp.hAPP (tptp.hAPP @t2431 @t52) @t51)) @t98)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4991 (tptp.hAPP (tptp.hAPP @t2422 @t54) @t51)) @t4998)))))) % 54.75/54.97 (assume @p3707 (forall (@list @t4206 @t3133 @t2461 @t2443 @t420 @t579 @t14) (= (tptp.hAPP (tptp.hAPP @t4995 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t14 @t2443 @t579) @t2461) @t3133)) @t4206) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t14 @t2443 @t420) @t2461) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t2443 @t579 @t420) @t3133) @t4206))))) % 54.75/54.97 (assume @p3708 (forall (@list @t98 @t3872 @t579 @t2020 @t4289 @t420 @t14) (=> @t4290 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5000 @t3872) @t98)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4999 (tptp.hAPP (tptp.hAPP @t4997 @t4289) @t3872)) @t4998)))))) % 54.75/54.97 (assume @p3709 (forall (@list @t4206 @t3133 @t2461 @t420 @t579 @t14) (= (tptp.hAPP @t5001 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4988) @t3133) @t4206)) (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP @t5001 @t3133)) (tptp.hAPP @t5001 @t4206))))) % 54.75/54.97 (assume @p3710 (forall (@list @t2461 @t4206 @t3133 @t420 @t579 @t14) (= (tptp.hAPP (tptp.hAPP @t4995 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t4788) @t3133) @t4206)) @t2461) (tptp.hAPP (tptp.hAPP @t3686 (tptp.hAPP (tptp.hAPP @t4995 @t3133) @t2461)) (tptp.hAPP (tptp.hAPP @t4995 @t4206) @t2461))))) % 54.75/54.97 (assume @p3711 (forall @t5002 (= (tptp.hAPP (tptp.hAPP @t4995 (tptp.c_Orderings_Obot__class_Obot @t4788)) @t2461) @t3665))) % 54.75/54.97 (assume @p3712 (forall @t5002 (= (tptp.hAPP @t5001 (tptp.c_Orderings_Obot__class_Obot @t4988)) @t3665))) % 54.75/54.97 (assume @p3713 (forall (@list @t2020 @t3330 @t2443 @t98 @t420 @t579 @t14) (= (tptp.hAPP @t5003 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2443 @t4988) @t3330) @t2020)) (tptp.hAPP @t5004 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4988 @t3474 @t2443) @t5003) @t2020))))) % 54.75/54.97 (assume @p3714 (forall (@list @t98 @t2020 @t3330 @t2443 @t420 @t579 @t14) (= (tptp.hAPP (tptp.hAPP @t4995 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2443 @t4788) @t3330) @t2020)) @t98) (tptp.hAPP @t5004 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2443 @t4988 @t3474) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4788 (tptp.tc_fun @t4988 @t3474) @t2443) @t4995) @t2020)) @t98))))) % 54.75/54.97 (assume @p3715 (forall @t2580 (=> (= (tptp.hAPP @t5006 @t1467) @t3793) (=> @t5007 (= (tptp.hAPP @t5006 (tptp.hAPP (tptp.hAPP @t4200 @t1467) @t2575)) @t3793))))) % 54.75/54.97 (assume @p3716 (forall @t3218 (=> @t5007 (=> (= (tptp.hAPP (tptp.hAPP @t5005 @t1467) @t2575) @t3793) (= (tptp.hAPP (tptp.hAPP @t5005 (tptp.hAPP (tptp.hAPP @t4200 @t1314) @t1467)) @t2575) @t3793))))) % 54.75/54.97 (assume @p3717 (forall (@list @t2575 @t98 @t579 @t1467 @t1314 @t2020 @t420 @t14) (=> @t4760 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5000 @t98) (tptp.hAPP (tptp.hAPP @t4742 @t1467) (tptp.hAPP @t4741 @t2575)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4999 @t4998) (tptp.hAPP @t4794 (tptp.hAPP @t4792 @t2575)))))))) % 54.75/54.97 (assume @p3718 (forall @t3692 (=> @t5014 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP @t5011 @t4156) (tptp.hAPP (tptp.hAPP @t5010 (tptp.c_Wellfounded_Omax__ext @t14 @t3133)) @t5009))) @t4156))))) % 54.75/54.97 (assume @p3719 (forall @t3692 (=> @t5014 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5012 (tptp.hAPP (tptp.hAPP @t5011 @t5015) (tptp.hAPP (tptp.hAPP @t5010 (tptp.c_Wellfounded_Omin__ext @t14 @t3133)) @t5009))) @t5015))))) % 54.75/54.97 (assume @p3720 (forall (@list @t659 @t16 @t98 @t2020 @t579 @t420 @t14) (= (tptp.c_Predicate_Opred__comp @t14 @t420 @t579 @t5016 (tptp.hAPP @t3739 @t98) @t16 @t659) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4991 @t2423) @t4998))))) % 54.75/54.97 (assume @p3721 (forall @t3692 (=> @t5017 (=> @t5014 (tptp.c_FunDef_Oreduction__pair @t14 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t3791 @t3791) @t2461) @t3133)))))) % 54.75/54.97 (assume @p3722 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 54.75/54.97 (assume @p3723 (forall (@list @t579 @t420 @t14 @t51 @t98 @t52 @t54 @t2020) (=> @t2352 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t98 @t52) @t51)) (tptp.c_Predicate_Opred__comp @t14 @t420 @t579 @t2020 @t98 @t54 @t51))))) % 54.75/54.97 (assume @p3724 (forall @t1799 (tptp.c_Wellfounded_Owf @t14 @t3793))) % 54.75/54.97 (assume @p3725 (forall @t5019 (=> @t5018 (tptp.c_Wellfounded_Owf @t420 (tptp.hAPP (tptp.hAPP @t4173 @t2020) @t2))))) % 54.75/54.97 (assume @p3726 (forall (@list @t5020 @t420 @t5021 @t14) (=> (tptp.c_Wellfounded_Owf @t14 @t5021) (=> (tptp.c_Wellfounded_Owf @t420 @t5020) (tptp.c_Wellfounded_Owf @t2437 (tptp.c_Wellfounded_Olex__prod @t14 @t420 @t5021 @t5020)))))) % 54.75/54.97 (assume @p3727 (forall @t2948 (tptp.c_Wellfounded_Owf @t14 @t3813))) % 54.75/54.97 (assume @p3728 (forall @t4553 (= @t5017 (tptp.c_Wellfounded_Owf @t14 @t5022)))) % 54.75/54.97 (assume @p3729 (forall @t4553 (=> (= @t5022 @t3793) @t5017))) % 54.75/54.97 (assume @p3730 (forall @t3692 (= @t5025 (tptp.c_Wellfounded_Owf @t14 (tptp.hAPP (tptp.hAPP @t4200 (tptp.hAPP (tptp.hAPP @t4200 @t5022) (tptp.hAPP (tptp.hAPP @t5005 @t3133) @t2461))) @t3133))))) % 54.75/54.97 (assume @p3731 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP @t5027 (tptp.hAPP @t5026 @t448)))) % 54.75/54.97 (assume @p3732 (forall @t4935 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4934))) % 54.75/54.97 (assume @p3733 (forall @t4684 (=> @t5018 @t4682))) % 54.75/54.97 (assume @p3734 (forall @t2023 (= @t5018 (forall @t8 @t4693)))) % 54.75/54.97 (assume @p3735 (forall @t2351 (=> @t5018 (not @t4815)))) % 54.75/54.97 (assume @p3736 (forall (@list @t16 @t54 @t2020 @t14) (=> @t5018 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3961 @t16)) @t2020)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3814 @t54)) @t2020))))))) % 54.75/54.97 (assume @p3737 (forall @t5028 (=> @t5018 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t1601) @t2020)) (tptp.c_Wellfounded_Owf @t14 @t1601))))) % 54.75/54.97 (assume @p3738 (forall @t2023 (=> @t5018 (tptp.c_Wellfounded_Owf @t2359 (tptp.c_Wellfounded_Omin__ext @t14 @t2020))))) % 54.75/54.97 (assume @p3739 (forall @t1799 (tptp.c_Wellfounded_Owf @t2359 @t3964))) % 54.75/54.97 (assume @p3740 (forall (@list @t96 @t94 @t98 @t2020 @t579 @t420 @t14) (= (tptp.c_Predicate_Opred__comp @t14 @t420 @t579 @t2020 @t98 @t94 @t96) (exists @t3826 (and (tptp.hBOOL (tptp.hAPP @t5029 @t2389)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t98 @t2389) @t96))))))) % 54.75/54.97 (assume @p3741 (tptp.c_Wellfounded_Owf @t2409 tptp.c_FunDef_Opair__less)) % 54.75/54.97 (assume @p3742 (forall (@list @t2 @t2461 @t14) (=> @t5017 (tptp.c_Wellfounded_Owf @t14 @t3835)))) % 54.75/54.97 (assume @p3743 (forall @t2023 (=> @t5018 (tptp.c_Wellfounded_Owf @t2359 (tptp.c_Wellfounded_Omax__ext @t14 @t2020))))) % 54.75/54.97 (assume @p3744 (forall @t5030 (=> @t5018 (tptp.c_Wellfounded_Owf @t14 (tptp.hAPP @t4813 @t4289))))) % 54.75/54.97 (assume @p3745 (forall @t5030 (=> @t5018 (tptp.c_Wellfounded_Owf @t14 (tptp.hAPP (tptp.hAPP @t4812 @t4289) @t2020))))) % 54.75/54.97 (assume @p3746 (forall @t4935 (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint @t4936))) % 54.75/54.97 (assume @p3747 (forall @t2023 (= @t5018 (not (exists @t4246 (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 (tptp.hAPP @t4245 @t1602)) @t5031)) @t2020)))))))) % 54.75/54.97 (assume @p3748 (forall (@list @t1314 @t2461 @t14) (=> @t5017 (=> (tptp.hBOOL (tptp.hAPP @t2489 (tptp.hAPP @t5032 @t1314))) @t3520)))) % 54.75/54.97 (assume @p3749 (forall @t3692 (=> @t5017 (=> @t5033 (=> @t5014 @t5025))))) % 54.75/54.97 (assume @p3750 (forall @t1799 (=> (tptp.class_Orderings_Owellorder @t14) (tptp.c_Wellfounded_Owf @t14 (tptp.hAPP @t4930 (tptp.hAPP @t4195 @t479)))))) % 54.75/54.97 (assume @p3751 (forall @t4872 (= @t4170 (and (tptp.c_Wellfounded_Owf @t14 @t5034) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 (tptp.hAPP (tptp.hAPP @t5005 @t5034) @t5035)) @t5034)))))) % 54.75/54.97 (assume @p3752 (forall (@list @t3133 @t2461 @t87 @t14) (=> @t4170 (=> (tptp.hBOOL (tptp.hAPP @t5037 @t5034)) (=> (tptp.hBOOL (tptp.hAPP @t5036 @t5035)) (=> @t5033 @t5025)))))) % 54.75/54.97 (assume @p3753 (forall @t5019 (=> @t5018 (=> @t4584 (tptp.c_Wellfounded_Owf @t420 (tptp.hAPP (tptp.c_Set_Oimage @t3790 @t3959 (tptp.c_Product__Type_Omap__pair @t14 @t420 @t14 @t420 @t2 @t2)) @t2020)))))) % 54.75/54.97 (assume @p3754 (forall @t2023 (=> @t5018 (tptp.c_Wellfounded_Owf @t5039 @t5038)))) % 54.75/54.97 (assume @p3755 (forall (@list @t14 @t1 @t2 @t87) (=> (forall @t8 (=> @t1143 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 (tptp.hAPP @t2 @t5)) @t6)))) (tptp.c_Wellfounded_Owf @t14 (tptp.hAPP @t4930 (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP @t4341 @t4860) (tptp.hAPP @t4966 @t1)))))))) % 54.75/54.97 (assume @p3756 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP @t5027 (tptp.hAPP @t5026 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2232 tptp.tc_Nat_Onat) (tptp.hAPP @t2928 tptp.c_fequal)) tptp.c_Nat_OSuc))))) % 54.75/54.97 (assume @p3757 (forall @t2023 (=> @t5018 (tptp.c_Wellfounded_Owf @t5039 @t5040)))) % 54.75/54.97 (assume @p3758 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 54.75/54.97 (assume @p3759 (forall @t2023 (= @t5040 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat @t5043) @t3349) @t5041)))) % 54.75/54.97 (assume @p3760 (forall @t5045 (=> @t5018 (tptp.c_Wellfounded_Owf @t5039 @t5044)))) % 54.75/54.97 (assume @p3761 (forall @t2023 (= (tptp.hAPP @t5041 @t19) (tptp.c_Orderings_Obot__class_Obot @t5043)))) % 54.75/54.97 (assume @p3762 (forall (@list @t14 @t2461 @t420 @t87) (=> (forall @t8 (=> @t1143 (tptp.c_Wellfounded_Owf @t420 @t4551))) (tptp.c_Wellfounded_Owf @t2437 @t3974)))) % 54.75/54.97 (assume @p3763 (forall (@list @t87 @t14 @t420) (= (tptp.hAPP @t5047 (tptp.hAPP (tptp.c_Set_OCollect @t2675) @t5046)) (tptp.hAPP @t4854 (tptp.hAPP @t4963 (tptp.hAPP @t4956 @t87)))))) % 54.75/54.97 (assume @p3764 (forall @t5049 (=> @t4293 (tptp.hBOOL (tptp.hAPP @t3653 @t5048))))) % 54.75/54.97 (assume @p3765 (forall @t2584 (= (tptp.hAPP @t5050 @t4192) @t1314))) % 54.75/54.97 (assume @p3766 (forall @t5053 (= (= @t5052 @t3514) (= @t2020 @t5051)))) % 54.75/54.97 (assume @p3767 (forall @t4107 (= (tptp.hAPP @t5047 @t5051) @t3514))) % 54.75/54.97 (assume @p3768 (forall @t3538 (= (tptp.hAPP @t5047 (tptp.hAPP (tptp.hAPP @t4292 @t1314) @t1467)) (tptp.hAPP (tptp.hAPP @t3144 @t5055) @t5054)))) % 54.75/54.97 (assume @p3769 (forall @t5057 (=> @t5056 (tptp.hBOOL (tptp.hAPP @t3459 @t5048))))) % 54.75/54.97 (assume @p3770 (forall @t4263 (= (tptp.hAPP (tptp.c_Set_Oimage @t2675 @t14 @t2468) @t2461) (tptp.hAPP @t5047 @t2461)))) % 54.75/54.97 (assume @p3771 (forall @t5058 (= (tptp.hBOOL (tptp.hAPP @t3631 @t5052)) (exists @t260 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 (tptp.hAPP (tptp.hAPP @t2593 @t257) @t54)) @t2020)))))) % 54.75/54.97 (assume @p3772 (forall (@list @t2020 @t52 @t54 @t14 @t420) (= (tptp.hAPP @t5047 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t2675) @t4303) @t2020)) (tptp.hAPP @t3401 @t5052)))) % 54.75/54.97 (assume @p3773 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t5047 (tptp.hAPP (tptp.hAPP @t5059 @t1314) @t1467))) (tptp.hAPP (tptp.hAPP @t4380 @t5055) @t5054))))) % 54.75/54.97 (assume @p3774 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP (tptp.hAPP @t2570 @t5055) @t5054)) (tptp.hAPP @t5047 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t4291) @t1314) @t1467)))))) % 54.75/54.97 (assume @p3775 (forall @t3747 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP @t14 @t420 @t5016) @t16)) (tptp.hBOOL (tptp.hAPP @t3643 @t5048))))) % 54.75/54.97 (assume @p3776 (forall (@list @t2020 @t420 @t52 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3642 @t5052)) (not (forall @t8 (not @t4296)))))) % 54.75/54.97 (assume @p3777 (forall @t5061 (=> @t2352 (tptp.hBOOL (tptp.hAPP @t5060 @t52))))) % 54.75/54.97 (assume @p3778 (forall (@list @t97 @t2020 @t420 @t14) (= (tptp.hBOOL (tptp.hAPP @t5060 @t97)) (exists @t447 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2020 @t446) @t97)))))) % 54.75/54.97 (assume @p3779 (forall @t4199 (=> @t5018 (=> (tptp.c_Wellfounded_Owf @t14 @t98) (=> (= (tptp.hAPP (tptp.hAPP @t4380 @t5063) (tptp.hAPP @t5050 @t98)) @t3514) (tptp.c_Wellfounded_Owf @t14 @t4202)))))) % 54.75/54.97 (assume @p3780 (forall @t2023 (= @t5064 (tptp.c_Wellfounded_Owf @t14 @t4937)))) % 54.75/54.97 (assume @p3781 (forall @t1799 (tptp.c_Wellfounded_OwfP @t14 (tptp.hAPP @t4751 @t4878)))) % 54.75/54.97 (assume @p3782 (forall @t5049 (=> @t4293 @t5067))) % 54.75/54.97 (assume @p3783 (forall @t2023 (= @t5064 (forall @t1151 (tptp.hBOOL (tptp.hAPP @t2349 @t1149)))))) % 54.75/54.97 (assume @p3784 (forall @t4684 (=> @t5064 (tptp.hBOOL (tptp.hAPP @t2349 @t16))))) % 54.75/54.97 (assume @p3785 (forall @t2584 (= (tptp.hAPP @t5062 @t4192) @t1314))) % 54.75/54.97 (assume @p3786 (forall @t5028 (=> @t5064 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2362 @t1601) @t2020)) (tptp.c_Wellfounded_OwfP @t14 @t1601))))) % 54.75/54.97 (assume @p3787 (forall @t5057 (= (= @t5066 @t3514) (= @t2020 @t3665)))) % 54.75/54.97 (assume @p3788 (forall @t3471 (= (tptp.hAPP @t5065 @t3665) @t3514))) % 54.75/54.97 (assume @p3789 (forall @t5069 (=> @t5068 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5066) (tptp.hAPP @t5065 @t98)))))) % 54.75/54.97 (assume @p3790 (forall @t3524 (= (tptp.hAPP @t5065 (tptp.hAPP (tptp.hAPP @t3686 @t1314) @t1467)) (tptp.hAPP (tptp.hAPP @t3144 @t5071) @t5070)))) % 54.75/54.97 (assume @p3791 (forall @t5057 (=> @t5056 (tptp.hBOOL (tptp.hAPP @t3387 @t5066))))) % 54.75/54.97 (assume @p3792 (forall @t5073 (= (tptp.hAPP @t5072 @t2461) (tptp.hAPP @t5065 @t2461)))) % 54.75/54.97 (assume @p3793 (forall @t5058 (= @t5067 (exists @t260 @t5074)))) % 54.75/54.97 (assume @p3794 (forall @t5049 (= (tptp.hAPP @t5065 (tptp.hAPP @t4768 @t2020)) (tptp.hAPP @t3393 @t5066)))) % 54.75/54.97 (assume @p3795 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t5065 (tptp.hAPP (tptp.hAPP @t4528 @t1314) @t1467))) (tptp.hAPP (tptp.hAPP @t4380 @t5071) @t5070))))) % 54.75/54.97 (assume @p3796 (forall @t3524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP (tptp.hAPP @t2570 @t5071) @t5070)) (tptp.hAPP @t5065 (tptp.hAPP (tptp.hAPP @t4718 @t1314) @t1467)))))) % 54.75/54.97 (assume @p3797 (forall @t2023 (= @t4187 (tptp.hAPP (tptp.hAPP @t3144 @t5063) @t5075)))) % 54.75/54.97 (assume @p3798 (forall @t4553 (=> @t5017 (tptp.c_Wellfounded_OwfP @t14 (tptp.c_FunDef_Oin__rel @t14 @t14 @t2461))))) % 54.75/54.97 (assume @p3799 (forall @t2023 (= (tptp.c_Wellfounded_OwfP @t14 @t4683) @t5018))) % 54.75/54.97 (assume @p3800 (forall @t2742 (= (tptp.hAPP @t5065 (tptp.hAPP @t4889 @t2741)) (tptp.hAPP @t4854 (tptp.hAPP @t4963 @t87))))) % 54.75/54.97 (assume @p3801 (forall @t3747 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP @t14 @t420 @t5016) @t16)) (tptp.hBOOL (tptp.hAPP @t3606 @t5066))))) % 54.75/54.97 (assume @p3802 (forall @t5058 (=> @t5067 (not (forall @t260 (not @t5074)))))) % 54.75/54.97 (assume @p3803 (forall @t5061 (=> @t2352 (tptp.hBOOL (tptp.hAPP @t5076 @t54))))) % 54.75/54.97 (assume @p3804 (forall (@list @t94 @t2020 @t420 @t14) (= (tptp.hBOOL (tptp.hAPP @t5076 @t94)) (exists @t1151 (tptp.hBOOL (tptp.hAPP @t5029 @t1149)))))) % 54.75/54.97 (assume @p3805 (forall @t2023 (=> @t5064 (tptp.c_Wellfounded_Oacyclic @t14 @t4937)))) % 54.75/54.97 (assume @p3806 (forall @t4339 (= (tptp.c_New__Random__Sequence_Opos__map @t420 @t14 @t2 @t87) (tptp.c_New__Random__Sequence_Opos__bind @t420 @t14 @t87 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2724) @t420 @t5077) @t2))))) % 54.75/54.97 (assume @p3807 (forall @t2023 (=> @t5018 @t5078))) % 54.75/54.97 (assume @p3808 (forall @t5079 (=> (tptp.c_Wellfounded_Oacyclic @t14 @t98) (=> @t4198 @t5078)))) % 54.75/54.97 (assume @p3809 (forall @t2023 (=> @t4204 (=> @t5078 @t5018)))) % 54.75/54.97 (assume @p3810 (forall @t2023 (=> @t4204 (= @t5018 @t5078)))) % 54.75/54.97 (assume @p3811 (forall @t5080 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5077 @t16) @t2663) @t2662) @t2661) (tptp.c_New__DSequence_Opos__single @t14 @t16)))) % 54.75/54.97 (assume @p3812 (forall @t2023 (= (tptp.c_Nitpick_Owf_H @t14 @t2020) (and @t5078 (or @t4204 (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool)))))) % 54.75/54.97 (assume @p3813 (forall @t5081 (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single @t289 @t288) @t2728) (tptp.c_Lazy__Sequence_Osingle @t289 @t288)))) % 54.75/54.97 (assume @p3814 (forall @t4339 (= (tptp.c_New__Random__Sequence_Oneg__map @t420 @t14 @t2 @t87) (tptp.c_New__Random__Sequence_Oneg__bind @t420 @t14 @t87 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t2718) @t420 @t5082) @t2))))) % 54.75/54.97 (assume @p3815 (forall @t5080 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5082 @t16) @t2663) @t2662) @t2661) (tptp.c_New__DSequence_Oneg__single @t14 @t16)))) % 54.75/54.97 (assume @p3816 (forall @t3497 (=> @t3416 (=> (tptp.hBOOL (tptp.hAPP @t3459 @t3070)) (exists @t8 (and @t3087 (not (tptp.hBOOL (tptp.hAPP @t3387 (tptp.hAPP @t4854 (tptp.hAPP @t4664 (tptp.hAPP @t4644 @t6)))))))))))) % 54.75/54.97 (assume @p3817 (forall @t5081 (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single @t289 @t288) @t2728) (tptp.c_Lazy__Sequence_Ohb__single @t289 @t288)))) % 54.75/54.97 (assume @p3818 (forall @t4345 (= @t4809 (and (forall @t8 (=> @t5084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4195 (tptp.hAPP @t4941 @t4252)) @t4)))) @t4808)))) % 54.75/54.97 (assume @p3819 (forall @t2491 (= (tptp.hBOOL (tptp.hAPP @t4256 @t1467)) (forall @t8 (=> @t3177 (tptp.hBOOL @t3329)))))) % 54.75/54.97 (assume @p3820 (forall (@list @t87 @t14 @t4) (=> (tptp.hBOOL (tptp.hAPP @t3086 @t3514)) @t1143))) % 54.75/54.97 (assume @p3821 (forall (@list @t2 @t2020 @t420 @t14) (= @t4517 (forall @t8 (=> @t5084 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t1007 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2731 @t4959 @t14) @t4884) @t4642)) @t2)) @t4))))))) % 54.75/54.97 (assume @p3822 (forall @t1806 (not (forall @t260 (=> (= @t16 @t5086) (not @t5085)))))) % 54.75/54.97 (assume @p3823 (forall (@list @t16 @t87) (=> (forall @t260 (=> @t5085 (tptp.hBOOL (tptp.hAPP @t87 @t5086)))) @t2739))) % 54.75/54.97 (assume @p3824 (forall (@list @t3884 @t3477 @t14) (= (tptp.c_Hoare__Mirabelle_Ohoare__valids @t14 @t3477 @t3884) (forall @t177 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t5088 @t3477)) @t5087)) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t5088 @t3884)) @t5087))))))) % 54.75/54.97 (assume @p3825 (forall @t3483 (=> @t3415 (=> @t4780 @t3482)))) % 54.75/54.97 (assume @p3826 (forall (@list @t349 @t3396) (=> (forall @t8 (=> @t3397 (tptp.hBOOL (tptp.hAPP @t1501 @t4)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP @t3499 @t349) @t3396)))) % 54.75/54.97 (assume @p3827 (forall (@list @t14 @t2020 @t420) (=> (forall @t1235 (tptp.c_Wellfounded_OwfP @t420 @t5090)) (=> (forall @t1243 (=> (not (= @t5090 @t5089)) (= (tptp.hAPP (tptp.hAPP @t4467 (tptp.c_Predicate_ODomainP @t420 @t420 @t5090)) (tptp.c_Predicate_ORangeP @t420 @t420 @t5089)) @t3522))) (tptp.c_Wellfounded_OwfP @t420 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 (tptp.tc_fun @t420 @t2731)) @t3353) @t2020)))))) % 54.75/54.97 (assume @p3828 (forall @t3542 (=> (tptp.hBOOL (tptp.hAPP @t3387 @t4670)) (=> (not @t3465) (exists @t8 (= @t6 @t425)))))) % 54.75/54.97 (assume @p3829 (forall (@list @t51 @t57 @t579 @t420 @t14 @t1601) (=> (forall @t2395 (=> (= @t1601 @t2428) (tptp.hBOOL (tptp.hAPP @t5091 (tptp.hAPP (tptp.hAPP @t51 @t446) @t2389))))) (tptp.hBOOL (tptp.hAPP @t5091 (tptp.hAPP (tptp.hAPP @t2463 @t51) @t1601)))))) % 54.75/54.97 (assume @p3830 (forall (@list @t1601 @t51 @t579 @t420 @t57 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3657 (tptp.hAPP @t3656 @t1601))) (not (forall @t2496 (=> (= @t1601 (tptp.hAPP (tptp.hAPP @t2431 @t4) @t257)) (not (tptp.hBOOL (tptp.hAPP @t3657 (tptp.hAPP (tptp.hAPP @t51 @t4) @t257)))))))))) % 54.75/54.97 (assume @p3831 (forall @t2742 (= (tptp.c_Hilbert__Choice_OEps @t2437 @t2741) (tptp.c_Hilbert__Choice_OEps @t2437 @t2740)))) % 54.75/54.97 (assume @p3832 (forall (@list @t14 @t51 @t87) (=> @t1152 (=> (= @t51 @t5092) (tptp.hBOOL (tptp.hAPP @t87 @t51)))))) % 54.75/54.97 (assume @p3833 (forall (@list @t14 @t5093) (=> (exists @t8 (tptp.hBOOL (tptp.hAPP @t5093 @t4))) (tptp.hBOOL (tptp.hAPP @t5093 (tptp.c_Hilbert__Choice_OEps @t14 @t5093)))))) % 54.75/54.97 (assume @p3834 (forall (@list @t14 @t16 @t87) (=> @t2739 @t5094))) % 54.75/54.97 (assume @p3835 (forall @t18 (= (tptp.c_Hilbert__Choice_OEps @t14 @t2759) @t16))) % 54.75/54.97 (assume @p3836 (forall @t18 (= (tptp.c_Hilbert__Choice_OEps @t14 (tptp.hAPP @t2770 @t16)) @t16))) % 54.75/54.97 (assume @p3837 (forall @t5095 (= @t5094 @t1152))) % 54.75/54.97 (assume @p3838 (forall @t5095 (=> @t1152 @t5094))) % 54.75/54.97 (assume @p3839 (forall @t2742 (= (tptp.c_Hilbert__Choice_OEps @t2437 @t87) (tptp.c_Hilbert__Choice_OEps @t2437 @t2768)))) % 54.75/54.97 (assume @p3840 (forall @t2767 (= (tptp.c_Hilbert__Choice_OEps @t2437 @t2766) @t2757))) % 54.75/54.97 (assume @p3841 (forall @t4553 (=> (forall @t5096 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4223) (tptp.hAPP @t5032 @t4223))) (= @t4223 @t3514))) @t5017))) % 54.75/54.97 (assume @p3842 (forall (@list @t2574 @t1467 @t420 @t2575 @t1314 @t14) (=> @t2577 (=> (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t3269) (tptp.hAPP @t2574 @t4))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3752 @t4713) (tptp.hAPP (tptp.hAPP @t4710 @t2575) @t2574))))))) % 54.75/54.97 (assume @p3843 (forall @t5099 (=> (not (tptp.hBOOL (tptp.hAPP @t3606 @t5097))) (not (forall @t1457 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t5098 @t16)) @t2461)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t1456) @t5097)))))))) % 54.75/54.97 (assume @p3844 (forall @t4348 (=> (forall @t260 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t5100 @t16)) @t2020)) (tptp.hBOOL (tptp.hAPP @t4338 @t4681)))) @t4682))) % 54.75/54.97 (assume @p3845 (forall (@list @t2 @t3133 @t14 @t420) (=> @t4008 (=> @t3761 (=> (forall @t8 (=> @t4057 @t4209)) (= @t4635 @t4046)))))) % 54.75/54.97 (assume @p3846 (forall @t2584 (=> @t3415 (=> (=> @t3669 @t4530) @t3488)))) % 54.75/54.97 (assume @p3847 (forall (@list @t2461 @t97 @t94 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3967 (tptp.hAPP (tptp.hAPP @t3965 @t94) @t97)) @t4156)) (and @t4700 @t4699 @t4698 (forall @t8 (=> @t4697 (exists @t3022 (and @t4696 @t4702)))))))) % 54.75/54.97 (assume @p3848 (forall (@list @t57 @t2680 @t1 @t1314 @t14 @t420) (=> @t4622 (=> @t3415 (=> (forall @t8 (=> @t3087 (= @t5 @t4123))) (= @t4620 (tptp.hAPP (tptp.hAPP @t4618 @t57) @t1314))))))) % 54.75/54.97 (assume @p3849 (forall (@list @t1 @t2 @t1314 @t1467 @t14 @t420) (=> @t4045 (=> @t3388 (=> @t2490 (=> (forall @t8 (=> @t3087 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4056 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP @t4062 @t4493)))))))) % 54.75/54.97 (assume @p3850 (forall @t3495 (=> @t704 (=> @t3415 (=> (forall @t260 (=> @t4521 (tptp.hBOOL (tptp.hAPP @t1026 @t257)))) (=> @t3607 @t3925)))))) % 54.75/54.97 (assume @p3851 (forall @t3495 (=> @t704 (=> @t3415 (=> (forall @t260 (=> @t4521 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t257) @t16)))) (=> @t3607 @t3922)))))) % 54.75/54.97 (assume @p3852 (forall (@list @t2 @t2020 @t14) (=> @t5018 (not (forall @t575 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 (tptp.hAPP @t2 (tptp.hAPP tptp.c_Nat_OSuc @t573))) (tptp.hAPP @t2 @t573))) @t2020))))))) % 54.75/54.97 (assume @p3853 (forall @t4612 (=> @t4260 (=> @t4567 (=> @t4610 (=> (forall @t447 (=> @t4254 (= (tptp.hAPP @t1 @t446) (tptp.hAPP @t2680 (tptp.hAPP @t2 @t446))))) (= (tptp.hAPP @t4335 @t1467) (tptp.hAPP (tptp.hAPP @t4259 @t1) @t1314)))))))) % 54.75/54.97 (assume @p3854 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t5102 @t5101)) @t468))) % 54.75/54.97 (assume @p3855 (forall @t2023 (=> @t5018 (tptp.c_Wellfounded_Owf @t14 @t5103)))) % 54.75/54.97 (assume @p3856 (= tptp.c_Wellfounded_Oless__than @t5101)) % 54.75/54.97 (assume @p3857 (forall @t2023 (= @t5078 @t5104))) % 54.75/54.97 (assume @p3858 (forall @t4190 (=> @t4349 @t5105))) % 54.75/54.97 (assume @p3859 (forall @t2023 (tptp.hBOOL (tptp.hAPP @t5106 (tptp.hAPP (tptp.hAPP @t4752 @t4187) (tptp.hAPP @t4751 @t4187)))))) % 54.75/54.97 (assume @p3860 (forall @t5110 (=> @t5109 @t5108))) % 54.75/54.97 (assume @p3861 (forall @t1799 (= (tptp.c_Transitive__Closure_Otrancl @t14 @t3793) @t3793))) % 54.75/54.97 (assume @p3862 (forall @t2023 (= (tptp.hAPP @t5062 @t5103) @t5063))) % 54.75/54.97 (assume @p3863 (forall @t2023 (= (tptp.hAPP @t5050 @t5103) @t5075))) % 54.75/54.97 (assume @p3864 (forall @t2023 (= (tptp.hBOOL (tptp.hAPP @t4203 @t5103)) @t4204))) % 54.75/54.97 (assume @p3865 (forall @t5116 (=> @t5105 @t5115))) % 54.75/54.97 (assume @p3866 (forall @t5116 (=> @t5105 @t5118))) % 54.75/54.97 (assume @p3867 (forall @t5116 (=> @t4349 @t5115))) % 54.75/54.97 (assume @p3868 (forall (@list @t51 @t2461 @t52 @t54 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4205 @t2461)) (=> (tptp.hBOOL (tptp.hAPP @t5114 @t2461)) (tptp.hBOOL (tptp.hAPP @t5111 @t5119)))))) % 54.75/54.97 (assume @p3869 (forall (@list @t98 @t2020 @t1601 @t14) (=> @t5108 (=> @t4198 (tptp.hBOOL (tptp.hAPP @t5107 (tptp.c_Transitive__Closure_Otrancl @t14 @t98))))))) % 54.75/54.97 (assume @p3870 (forall @t2023 (= @t5103 (tptp.hAPP @t4201 (tptp.hAPP (tptp.hAPP @t5005 @t5103) @t2020))))) % 54.75/54.97 (assume @p3871 (forall @t4816 (=> @t4754 (tptp.hBOOL (tptp.hAPP @t5106 @t4753))))) % 54.75/54.97 (assume @p3872 (forall @t4199 (=> @t4198 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 (tptp.hAPP (tptp.hAPP @t5005 (tptp.hAPP (tptp.hAPP @t4812 @t5103) @t98)) @t2020)) @t98)) (tptp.hBOOL (tptp.hAPP @t5106 @t98)))))) % 54.75/54.97 (assume @p3873 (forall @t5124 (= (tptp.c_Transitive__Closure_Otrancl @t14 @t5123) (tptp.hAPP @t5121 (tptp.hAPP @t4930 (tptp.hAPP @t4195 (tptp.hAPP (tptp.hAPP @t3568 (tptp.hAPP @t4940 (tptp.hAPP @t2761 (tptp.hAPP (tptp.hAPP @t4161 (tptp.hAPP @t4158 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t14 @t3790) @t3796) @t659))) @t5120)))) (tptp.hAPP (tptp.hAPP @t4161 (tptp.hAPP @t4158 @t3814)) @t5120)))))))) % 54.75/54.97 (assume @p3874 (forall @t5127 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t2361) @t4683) tptp.c_fequal) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3815 @t5126))))) % 54.75/54.97 (assume @p3875 (forall @t5110 (=> @t5109 (tptp.hBOOL (tptp.hAPP @t5107 @t5120))))) % 54.75/54.97 (assume @p3876 (forall @t4694 (tptp.hBOOL (tptp.hAPP @t4814 @t5120)))) % 54.75/54.97 (assume @p3877 (forall @t392 (tptp.hBOOL (tptp.hAPP @t4814 @t5125)))) % 54.75/54.97 (assume @p3878 (forall @t4190 (=> @t5105 @t5128))) % 54.75/54.97 (assume @p3879 (forall @t4553 (= (tptp.c_Transitive__Closure_Otrancl @t14 @t5129) @t5129))) % 54.75/54.97 (assume @p3880 (forall @t4553 (= (tptp.c_Transitive__Closure_Ortrancl @t14 @t5119) @t5129))) % 54.75/54.97 (assume @p3881 (forall @t2023 (= (tptp.hAPP @t5121 @t5125) @t5120))) % 54.75/54.97 (assume @p3882 (forall @t2023 (= (tptp.c_Transitive__Closure_Otrancl @t14 @t5126) @t5120))) % 54.75/54.97 (assume @p3883 (forall @t2023 (= @t5103 @t5130))) % 54.75/54.97 (assume @p3884 (forall @t2023 (= @t5103 @t5131))) % 54.75/54.97 (assume @p3885 (forall @t4553 (= (tptp.hAPP @t5062 @t5129) @t3353))) % 54.75/54.97 (assume @p3886 (forall @t4553 (= (tptp.hAPP @t5050 @t5129) @t3353))) % 54.75/54.97 (assume @p3887 (forall @t1799 (= (tptp.c_Transitive__Closure_Ortrancl @t14 @t3793) @t5125))) % 54.75/54.97 (assume @p3888 (forall @t5079 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t5125) @t98)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 (tptp.hAPP (tptp.hAPP @t5005 (tptp.hAPP (tptp.hAPP @t4812 @t5120) @t98)) @t2020)) @t98)) (tptp.hBOOL (tptp.hAPP @t5132 @t98)))))) % 54.75/54.97 (assume @p3889 (forall @t4553 (= (tptp.hAPP (tptp.hAPP @t5005 @t5129) @t5129) @t5129))) % 54.75/54.97 (assume @p3890 (forall @t2023 (= @t5130 @t5131))) % 54.75/54.97 (assume @p3891 (forall @t2023 (= @t5120 (tptp.hAPP (tptp.hAPP @t4200 @t5125) @t5131)))) % 54.75/54.97 (assume @p3892 (forall (@list @t3133 @t2461 @t16 @t14) (=> (or (tptp.hBOOL (tptp.hAPP @t5134 @t5129)) (tptp.hBOOL (tptp.hAPP @t5134 @t5135))) (tptp.hBOOL (tptp.hAPP @t5134 @t5133))))) % 54.75/54.97 (assume @p3893 (forall (@list @t89 @t2020 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t4340 @t89)) @t89)) (= (tptp.hAPP (tptp.c_Relation_OImage @t14 @t14 @t5120) @t89) @t89)))) % 54.75/54.97 (assume @p3894 (forall @t4199 (=> @t4198 @t5137))) % 54.75/54.97 (assume @p3895 (forall @t3692 (=> (tptp.hBOOL (tptp.hAPP @t5037 @t3133)) (=> (tptp.hBOOL (tptp.hAPP @t5036 @t5129)) (= @t5135 @t5129))))) % 54.75/54.97 (assume @p3896 (forall @t4199 (=> (tptp.hBOOL (tptp.hAPP @t4197 @t5136)) @t5137))) % 54.75/54.97 (assume @p3897 (forall @t4553 (= (tptp.c_Transitive__Closure_Ortrancl @t14 (tptp.hAPP @t5023 @t5125)) @t5129))) % 54.75/54.97 (assume @p3898 (forall @t3692 (= (tptp.c_Transitive__Closure_Ortrancl @t14 @t5139) @t5133))) % 54.75/54.97 (assume @p3899 (forall @t4553 (= (tptp.hAPP @t5138 @t5125) @t5129))) % 54.75/54.97 (assume @p3900 (forall @t3692 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3792 @t5139) @t5133)))) % 54.75/54.97 (assume @p3901 (forall @t2023 (= (tptp.c_Transitive__Closure_Ortrancl @t14 @t5120) @t5120))) % 54.75/54.97 (assume @p3902 (forall @t5116 (=> @t5128 @t5142))) % 54.75/54.97 (assume @p3903 (forall @t5116 (=> @t5128 (=> @t5117 @t5140)))) % 54.75/54.97 (assume @p3904 (forall @t5116 (=> @t4349 @t5142))) % 54.75/54.97 (assume @p3905 (forall @t2023 (= (tptp.c_Transitive__Closure_Ortrancl @t14 @t5143) @t5120))) % 54.75/54.97 (assume @p3906 (forall @t2023 (tptp.c_Relation_Orefl__on @t14 @t3353 @t5120))) % 54.75/54.97 (assume @p3907 (forall @t2584 (= (tptp.hAPP (tptp.c_Relation_OImage @t14 @t14 @t5125) @t1314) @t1314))) % 54.75/54.97 (assume @p3908 (forall @t5073 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t14 @t420 @t420) @t2461) (tptp.c_Relation_OId @t420)) @t2461))) % 54.75/54.97 (assume @p3909 (forall @t5073 (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t14 @t14 @t420) @t5125) @t2461) @t2461))) % 54.75/54.97 (assume @p3910 (forall @t771 (= (tptp.hBOOL (tptp.hAPP @t4205 @t5125)) @t767))) % 54.75/54.97 (assume @p3911 (forall (@list @t57 @t2020 @t659 @t16 @t14) (=> @t5145 (=> (tptp.hBOOL (tptp.hAPP @t4516 @t5103)) (tptp.hBOOL (tptp.hAPP @t5144 @t5103)))))) % 54.75/54.97 (assume @p3912 (forall @t5116 (=> @t5105 @t5146))) % 54.75/54.97 (assume @p3913 (forall @t5116 (=> @t5128 @t5118))) % 54.75/54.97 (assume @p3914 (forall (@list @t2461 @t52 @t54 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4205 @t5129)) (or @t767 (and @t863 (tptp.hBOOL (tptp.hAPP @t4205 @t5119))))))) % 54.75/54.97 (assume @p3915 (forall @t5116 (=> @t4349 @t5146))) % 54.75/54.97 (assume @p3916 (forall @t5149 (= @t5148 (or @t678 (and @t703 @t5147))))) % 54.75/54.97 (assume @p3917 (forall @t1799 (= (tptp.hAPP @t5062 @t5125) @t3353))) % 54.75/54.97 (assume @p3918 (forall @t1799 (= (tptp.hAPP @t5050 @t5125) @t3353))) % 54.75/54.97 (assume @p3919 (forall @t1799 (tptp.c_Relation_Orefl__on @t14 @t3353 @t5125))) % 54.75/54.97 (assume @p3920 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun @t4113 tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId @t2409)))) % 54.75/54.97 (assume @p3921 (forall (@list @t659 @t2461 @t16 @t14) (=> (not (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5062 @t2461)))) (= @t5148 @t678)))) % 54.75/54.97 (assume @p3922 (forall (@list @t2020 @t54 @t52 @t14) (=> @t5150 (=> @t4691 @t4692)))) % 54.75/54.97 (assume @p3923 (forall (@list @t52 @t2020 @t54 @t14) (=> @t4691 (=> @t5150 @t4692)))) % 54.75/54.97 (assume @p3924 (forall @t5124 (= (tptp.c_Wellfounded_Owf @t14 @t5123) (and @t5018 @t5151)))) % 54.75/54.97 (assume @p3925 (forall @t5124 (= (tptp.c_Wellfounded_Oacyclic @t14 @t5123) (and @t5078 @t5151)))) % 54.75/54.97 (assume @p3926 (forall @t2023 (tptp.c_Relation_Orefl__on @t14 @t3353 @t5126))) % 54.75/54.97 (assume @p3927 (forall @t1799 (= @t5125 (tptp.hAPP @t4930 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t3790) @t4953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t3790 @t4160 @t2359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3791 (tptp.tc_fun @t4160 @t2359) @t3790) (tptp.c_COMBB @t3790 tptp.tc_HOL_Obool @t14)) tptp.c_fequal)) @t4191)))))) % 54.75/54.97 (assume @p3928 (forall @t2023 (tptp.c_Relation_Oirrefl @t14 @t5143))) % 54.75/54.97 (assume @p3929 (forall @t379 (= (tptp.hBOOL (tptp.hAPP @t5102 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t968))) % 54.75/54.97 (assume @p3930 (forall (@list @t1314 @t2020 @t52 @t54 @t14) (=> @t5128 (=> @t4754 @t3706)))) % 54.75/54.97 (assume @p3931 (forall @t4684 (=> (= (tptp.hAPP (tptp.hAPP @t4812 @t5154) @t5120) @t3793) (not (tptp.hBOOL (tptp.hAPP @t5152 @t5103)))))) % 54.75/54.97 (assume @p3932 (forall (@list @t349 @t434 @t2020 @t2 @t14) (=> (forall @t1235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 (tptp.hAPP @t2 @t1602)) @t1837)) @t5120))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 (tptp.hAPP @t2 @t1533)) @t4009)) @t5120))))) % 54.75/54.97 (assume @p3933 (forall @t2023 (= @t5155 (tptp.hAPP @t5153 @t5120)))) % 54.75/54.97 (assume @p3934 (forall @t1799 (= (tptp.hAPP @t5153 @t5125) @t5125))) % 54.75/54.97 (assume @p3935 (forall @t2023 (= (tptp.c_Wellfounded_Oacyclic @t14 @t5154) @t5078))) % 54.75/54.97 (assume @p3936 (forall (@list @t98 @t2020 @t579 @t14 @t420) (= (tptp.hAPP @t5156 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp @t420 @t579 @t14) @t2020) @t98)) (tptp.hAPP (tptp.hAPP @t4995 (tptp.hAPP (tptp.c_Relation_Oconverse @t579 @t14) @t98)) (tptp.hAPP (tptp.c_Relation_Oconverse @t420 @t579) @t2020))))) % 54.75/54.97 (assume @p3937 (forall @t5159 (= (tptp.hAPP @t5156 (tptp.hAPP (tptp.hAPP @t4292 @t2020) @t98)) (tptp.hAPP (tptp.hAPP @t3686 @t5158) @t5157)))) % 54.75/54.97 (assume @p3938 (forall @t5057 (= (tptp.hBOOL (tptp.hAPP @t3476 @t5158)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite @t2675) @t2020))))) % 54.75/54.97 (assume @p3939 (forall @t5159 (= (tptp.hAPP @t5156 (tptp.hAPP (tptp.hAPP @t5059 @t2020) @t98)) (tptp.hAPP (tptp.hAPP @t4528 @t5158) @t5157)))) % 54.75/54.97 (assume @p3940 (forall @t5053 (= (tptp.hAPP @t5156 @t5160) @t2020))) % 54.75/54.97 (assume @p3941 (forall @t2584 (= (tptp.hAPP @t5153 @t4192) @t4192))) % 54.75/54.97 (assume @p3942 (forall @t2023 (= (tptp.hAPP @t4186 @t5154) @t4187))) % 54.75/54.97 (assume @p3943 (forall (@list @t2 @t2461 @t420 @t14) (= (tptp.hAPP @t5153 (tptp.hAPP (tptp.hAPP @t4183 @t2461) @t2)) (tptp.hAPP (tptp.hAPP @t4183 (tptp.hAPP (tptp.c_Relation_Oconverse @t420 @t420) @t2461)) @t2)))) % 54.75/54.97 (assume @p3944 (forall @t5049 (=> @t5163 @t5162))) % 54.75/54.97 (assume @p3945 (forall @t5049 (=> @t4293 (tptp.hBOOL (tptp.hAPP @t5161 @t5160))))) % 54.75/54.97 (assume @p3946 (forall @t5049 (= @t5163 @t5162))) % 54.75/54.97 (assume @p3947 (forall @t4345 (= (tptp.c_Relation_Orefl__on @t14 @t1314 @t5154) @t4809))) % 54.75/54.97 (assume @p3948 (forall @t5165 (= (tptp.hAPP @t5156 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t579 @t4291) @t3133) @t2020)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t579 @t3474) @t3133) @t5164)))) % 54.75/54.97 (assume @p3949 (forall @t4345 (=> @t4353 @t5167))) % 54.75/54.97 (assume @p3950 (forall @t5053 (= (tptp.hAPP @t5047 @t5160) @t5066))) % 54.75/54.97 (assume @p3951 (forall @t5057 (= @t5168 @t5052))) % 54.75/54.97 (assume @p3952 (forall @t5053 (= @t5052 @t5168))) % 54.75/54.97 (assume @p3953 (forall @t2023 (= @t5170 @t5169))) % 54.75/54.97 (assume @p3954 (forall @t2023 (=> @t5171 (tptp.c_Wellfounded_Owf @t14 @t5169)))) % 54.75/54.97 (assume @p3955 (forall @t5124 (=> @t5173 @t5172))) % 54.75/54.97 (assume @p3956 (forall @t5174 (=> @t5172 @t5173))) % 54.75/54.97 (assume @p3957 (forall @t5174 (=> @t5176 @t5175))) % 54.75/54.97 (assume @p3958 (forall @t5174 (=> @t5175 @t5176))) % 54.75/54.97 (assume @p3959 (forall (@list @t1467 @t1314 @t2020 @t420 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4297) @t1467)) (tptp.hBOOL (tptp.hAPP @t4757 (tptp.hAPP @t3363 (tptp.hAPP (tptp.c_Relation_OImage @t14 @t420 @t5158) @t2582))))))) % 54.75/54.97 (assume @p3960 (forall @t4345 (=> @t4809 (tptp.hBOOL (tptp.hAPP @t4197 @t5166))))) % 54.75/54.97 (assume @p3961 (forall @t4816 (=> @t5167 (=> (= @t5063 @t1314) @t4353)))) % 54.75/54.97 (assume @p3962 (forall @t2023 (=> @t4204 (=> @t5078 @t5171)))) % 54.75/54.97 (assume @p3963 (forall @t5053 (= @t5158 (tptp.hAPP @t4889 (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4291 @t2731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5177 (tptp.tc_fun @t4291 @t2731) @t14) (tptp.c_COMBC @t420 @t4291 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t420 @t2675) @t5177 @t14) (tptp.hAPP (tptp.c_COMBB @t2675 @t4909 @t420) @t4295)) @t4636))) @t2020)))))) % 54.75/54.97 (assume @p3964 (forall @t4345 (= (tptp.c_Relation_Ototal__on @t14 @t1314 @t5143) @t5178))) % 54.75/54.97 (assume @p3965 (forall @t5182 (=> @t5181 (tptp.hBOOL (tptp.hAPP @t5107 @t5180))))) % 54.75/54.97 (assume @p3966 (forall @t4553 (= @t5183 @t5125))) % 54.75/54.97 (assume @p3967 (forall @t5182 (= @t5181 (exists @t177 @t5184)))) % 54.75/54.97 (assume @p3968 (forall (@list @t2461 @t102 @t1601 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5107 @t5185)) @t5181))) % 54.75/54.97 (assume @p3969 (forall @t5187 (= (tptp.hAPP @t5013 @t5185) @t5186))) % 54.75/54.97 (assume @p3970 (forall @t5189 (= @t5188 @t5186))) % 54.75/54.97 (assume @p3971 (forall (@list @t2461 @t102 @t347 @t14) (= (tptp.hAPP (tptp.hAPP @t5179 @t378) @t2461) (tptp.hAPP (tptp.hAPP @t5005 (tptp.hAPP (tptp.hAPP @t5179 @t347) @t2461)) @t5185)))) % 54.75/54.97 (assume @p3972 (forall @t4553 (= (tptp.hAPP (tptp.hAPP @t5179 @t821) @t2461) @t2461))) % 54.75/54.97 (assume @p3973 (forall @t5189 (=> (tptp.c_Wellfounded_Owf @t14 @t5185) @t5017))) % 54.75/54.97 (assume @p3974 (forall (@list @t16 @t102 @t14 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t5192 @t16)) (tptp.hAPP @t5192 @t615)))) % 54.75/54.97 (assume @p3975 (forall @t2974 (= (tptp.hAPP @t5191 @t5193) (tptp.hAPP (tptp.hAPP @t5190 @t979) @t2)))) % 54.75/54.97 (assume @p3976 (forall (@list @t2 @t102 @t420 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t1007 @t1007) @t102) (tptp.c_Fun_Ocomp @t420 @t420 @t14 @t2)) (tptp.c_Fun_Ocomp @t420 @t420 @t14 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t420 @t420) @t102) @t2))))) % 54.75/54.97 (assume @p3977 (forall @t2023 (tptp.c_Relation_Ototal__on @t14 @t3514 @t2020))) % 54.75/54.97 (assume @p3978 (forall @t4345 (= (tptp.c_Relation_Ototal__on @t14 @t1314 @t5154) @t5178))) % 54.75/54.97 (assume @p3979 (forall @t5149 (=> (tptp.hBOOL (tptp.hAPP @t3815 @t5183)) @t678))) % 54.75/54.97 (assume @p3980 (forall @t5099 (tptp.hBOOL (tptp.hAPP @t5152 @t5183)))) % 54.75/54.97 (assume @p3981 (forall (@list @t57 @t2461 @t102 @t659 @t16 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3815 @t5185)) (=> (tptp.hBOOL (tptp.hAPP @t4516 @t2461)) @t5194)))) % 54.75/54.97 (assume @p3982 (forall (@list @t102 @t57 @t2461 @t659 @t16 @t14) (=> @t3837 (=> (tptp.hBOOL (tptp.hAPP @t4516 @t5185)) @t5194)))) % 54.75/54.97 (assume @p3983 (forall (@list @t2 @t102 @t14) (= (tptp.hAPP (tptp.hAPP @t5190 @t436) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t14 @t14 @t2) @t5192)))) % 54.75/54.97 (assume @p3984 (forall @t2945 (= (tptp.hAPP (tptp.hAPP @t5190 @t378) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t14 @t14 @t5193) @t5192)))) % 54.75/54.97 (assume @p3985 (forall @t2948 (= (tptp.hAPP (tptp.hAPP @t5190 @t19) @t2) @t4978))) % 54.75/54.97 (assume @p3986 (forall @t5182 (= (tptp.hBOOL (tptp.hAPP @t5107 @t5119)) (exists @t177 (and @t715 @t5184))))) % 54.75/54.97 (assume @p3987 (forall @t4345 (= @t5178 (forall @t8 (=> @t3087 (forall @t3022 (=> @t3439 (=> @t3438 (or (tptp.hBOOL (tptp.hAPP @t4701 @t2020)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 @t3014) @t4)) @t2020))))))))))) % 54.75/54.97 (assume @p3988 (forall @t4553 (= @t5129 @t5180))) % 54.75/54.97 (assume @p3989 (forall @t1799 (= (tptp.c_Nat_Ofunpow @t14) @t5190))) % 54.75/54.97 (assume @p3990 (forall @t5202 (=> @t5201 (=> @t5200 (not (forall @t5199 (=> @t565 (=> (tptp.hBOOL (tptp.hAPP @t5198 @t5197)) @t5196)))))))) % 54.75/54.97 (assume @p3991 (forall @t5202 (=> @t5201 (=> @t5200 (not (forall @t5199 (=> @t565 (=> @t5203 (not (tptp.hBOOL (tptp.hAPP @t5195 @t5197))))))))))) % 54.75/54.97 (assume @p3992 (forall @t2023 (=> @t5104 @t5078))) % 54.75/54.97 (assume @p3993 (forall @t4476 (=> (tptp.c_Relation_Osingle__valued @t14 @t420 (tptp.hAPP @t5156 @t2461)) (= @t4475 @t4474)))) % 54.75/54.97 (assume @p3994 (forall @t5208 (=> @t5207 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3797 @t52)) @t5204)) (forall @t260 (=> (tptp.hBOOL (tptp.hAPP @t5206 @t2599)) @t4588)))) @t5205)))) % 54.75/54.97 (assume @p3995 (forall (@list @t98 @t579 @t2020 @t420 @t14) (=> @t5209 (=> (tptp.c_Relation_Osingle__valued @t420 @t579 @t98) (tptp.c_Relation_Osingle__valued @t14 @t579 @t4998))))) % 54.75/54.97 (assume @p3996 (forall @t5069 (=> @t5068 (=> (tptp.c_Relation_Osingle__valued @t14 @t420 @t98) @t5209)))) % 54.75/54.97 (assume @p3997 (forall @t2584 (tptp.c_Relation_Osingle__valued @t14 @t14 @t4192))) % 54.75/54.97 (assume @p3998 (forall @t1799 (tptp.c_Relation_Osingle__valued @t14 @t14 @t5125))) % 54.75/54.97 (assume @p3999 (forall @t5187 (=> (tptp.c_Relation_Osingle__valued @t14 @t14 @t2461) (tptp.c_Relation_Osingle__valued @t14 @t14 @t5185)))) % 54.75/54.97 (assume @p4000 (forall @t5057 (= @t5209 (forall @t2496 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 @t4785) @t2020)) (forall @t1457 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 @t5210) @t2020)) (= @t257 @t1456)))))))) % 54.75/54.97 (assume @p4001 (forall (@list @t57 @t659 @t16 @t2020 @t420 @t14) (=> @t5209 (=> (tptp.hBOOL (tptp.hAPP @t3666 @t2020)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 (tptp.hAPP @t2421 @t57)) @t2020)) @t851))))) % 54.75/54.97 (assume @p4002 (forall (@list @t57 @t659 @t16 @t2020 @t14) (=> (tptp.c_Relation_Osingle__valued @t14 @t14 @t2020) (=> @t5145 (=> (tptp.hBOOL (tptp.hAPP @t5144 @t5120)) (or (tptp.hBOOL (tptp.hAPP @t4516 @t5120)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 @t57) @t659)) @t5120)))))))) % 54.75/54.97 (assume @p4003 (forall @t5208 (=> @t5207 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3961 @t4)) @t5204)) (forall @t260 (=> (tptp.hBOOL (tptp.hAPP @t4519 @t2599)) @t4337)))) @t5205)))) % 54.75/54.97 (assume @p4004 (forall @t5202 (=> @t5194 (not (forall @t260 (=> (tptp.hBOOL (tptp.hAPP @t5198 @t5185)) @t5196)))))) % 54.75/54.97 (assume @p4005 (forall @t5202 (=> @t5194 (exists @t260 (and @t5203 @t5211))))) % 54.75/54.97 (assume @p4006 (forall @t5202 (=> @t5194 (not (forall @t260 (=> @t5203 (not @t5211))))))) % 54.75/54.97 (assume @p4007 (forall @t5149 (=> @t5147 (exists @t1457 (and (tptp.hBOOL (tptp.hAPP @t5213 @t5129)) (tptp.hBOOL (tptp.hAPP @t5212 @t2461))))))) % 54.75/54.97 (assume @p4008 (forall @t5149 (=> @t5147 (exists @t1457 (and (tptp.hBOOL (tptp.hAPP @t5213 @t2461)) (tptp.hBOOL (tptp.hAPP @t5212 @t5129))))))) % 54.75/54.97 (assume @p4009 (forall (@list @t1601 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5107 @t5125)) (not (forall @t8 (not (= @t1601 @t3798))))))) % 54.75/54.97 (assume @p4010 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 (= @t3985 @t5215)))))) % 54.75/54.97 (assume @p4011 (forall (@list @t57 @t2 @t14 @t420) (= (tptp.hAPP @t5216 @t3522) @t57))) % 54.75/54.97 (assume @p4012 (forall (@list @t98 @t1314 @t3423 @t2 @t420 @t14) (=> @t4317 (=> @t3415 (= (tptp.hAPP @t3708 @t98) (tptp.hAPP (tptp.hAPP @t5217 @t98) @t1314)))))) % 54.75/54.97 (assume @p4013 (forall @t4917 (= @t4579 (tptp.c_Finite__Set_Ofold @t420 @t14 @t4637)))) % 54.75/54.97 (assume @p4014 (forall (@list @t1314 @t57 @t2 @t14 @t420) (= (tptp.hAPP @t5216 @t1314) (tptp.c_HOL_OThe @t14 (tptp.c_Finite__Set_Ofold__graph @t420 @t14 @t2 @t57 @t1314))))) % 54.75/54.97 (assume @p4015 (forall @t2491 (=> @t3415 (= @t3159 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t14 @t2359 @t3392) @t1467) @t1314))))) % 54.75/54.97 (assume @p4016 (forall @t5221 (=> @t3212 (=> @t3415 (= (tptp.hAPP @t5219 @t3455) (tptp.hAPP @t4541 @t5220)))))) % 54.75/54.97 (assume @p4017 (forall @t5221 (=> @t4395 (=> @t3415 (= (tptp.hAPP @t5223 @t3455) (tptp.hAPP @t4479 @t5224)))))) % 54.75/54.97 (assume @p4018 (forall @t5221 (=> @t704 (=> @t3415 (= (tptp.hAPP @t5226 @t3455) (tptp.hAPP @t3989 @t5227)))))) % 54.75/54.97 (assume @p4019 (forall @t5221 (=> @t704 (=> @t3415 (= (tptp.hAPP @t5228 @t3455) (tptp.hAPP @t3990 @t5229)))))) % 54.75/54.97 (assume @p4020 (forall @t5235 (=> @t4838 (=> @t3415 @t5234)))) % 54.75/54.97 (assume @p4021 (forall @t5235 (=> @t4838 (=> @t3415 @t5237)))) % 54.75/54.97 (assume @p4022 (forall @t3288 (=> @t3287 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t5238 @t1467) @t3286) (tptp.hAPP (tptp.hAPP @t5239 @t1467) @t1314)))))) % 54.75/54.97 (assume @p4023 (forall (@list @t54 @t1314 @t3423 @t2 @t14) (=> @t4231 (=> @t3415 (= (tptp.hAPP @t3423 @t3455) (tptp.hAPP (tptp.hAPP @t5240 @t54) @t1314)))))) % 54.75/54.97 (assume @p4024 (forall @t5242 (=> @t3212 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5241) @t5220))))))) % 54.75/54.97 (assume @p4025 (forall @t5242 (=> @t4395 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5224) @t5243))))))) % 54.75/54.97 (assume @p4026 (forall @t5242 (=> @t704 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5227) (tptp.hAPP @t3989 @t52)))))))) % 54.75/54.97 (assume @p4027 (forall @t5242 (=> @t704 (=> @t3415 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t3990 @t52)) @t5229))))))) % 54.75/54.97 (assume @p4028 (forall @t3457 (=> @t4831 (=> @t3415 @t5244)))) % 54.75/54.97 (assume @p4029 (forall @t3457 (=> @t3186 (=> @t3415 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t3455) (tptp.hAPP (tptp.hAPP @t5218 @t54) @t1314)))))) % 54.75/54.97 (assume @p4030 (forall @t3457 (=> @t3186 (=> @t3415 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t3455) (tptp.hAPP (tptp.hAPP @t5222 @t54) @t1314)))))) % 54.75/54.97 (assume @p4031 (forall @t3457 (=> @t704 (=> @t3415 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t3455) @t5245))))) % 54.75/54.97 (assume @p4032 (forall @t3457 (=> @t704 (=> @t3415 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t3455) @t5246))))) % 54.75/54.97 (assume @p4033 (forall @t3457 (=> @t704 (=> @t3415 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t3455) @t5245))))) % 54.75/54.97 (assume @p4034 (forall @t3457 (=> @t704 (=> @t3415 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t3455) @t5246))))) % 54.75/54.97 (assume @p4035 (forall @t2491 (=> @t3415 (= @t3209 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t14 @t2359 @t4837) @t1467) @t1314))))) % 54.75/54.97 (assume @p4036 (forall @t3822 (=> @t3821 (=> @t3415 (=> @t3608 (= @t3830 (tptp.hAPP (tptp.hAPP @t5240 @t16) @t1314))))))) % 54.75/54.97 (assume @p4037 (forall @t3420 (=> @t3287 (=> @t3415 (= @t3286 (tptp.hAPP (tptp.hAPP @t5239 (tptp.c_Orderings_Obot__class_Obot @t420)) @t1314)))))) % 54.75/54.97 (assume @p4038 (forall @t3457 (=> @t4680 (=> @t3415 (=> @t3670 @t5244))))) % 54.75/54.97 (assume @p4039 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3608 (= @t3907 (tptp.hAPP (tptp.hAPP @t5218 @t16) @t1314))))))) % 54.75/54.97 (assume @p4040 (forall @t3495 (=> @t3186 (=> @t3415 (=> @t3608 (= @t4543 (tptp.hAPP (tptp.hAPP @t5222 @t16) @t1314))))))) % 54.75/54.97 (assume @p4041 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 (= @t3939 @t5247)))))) % 54.75/54.97 (assume @p4042 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 (= @t3941 @t5215)))))) % 54.75/54.97 (assume @p4043 (forall @t3495 (=> @t704 (=> @t3415 (=> @t3608 (= @t3983 @t5247)))))) % 54.75/54.97 (assume @p4044 (forall @t5250 (=> @t5249 (=> @t3415 (=> @t3607 (= @t5231 @t5248)))))) % 54.75/54.97 (assume @p4045 (forall @t5235 (=> @t5249 (=> @t3415 (= @t5233 @t5248))))) % 54.75/54.97 (assume @p4046 (forall @t4587 (=> @t5249 (tptp.c_Finite__Set_Ofun__left__comm @t579 @t420 @t4839)))) % 54.75/54.97 (assume @p4047 (forall @t4029 (=> @t5249 (= (tptp.hAPP @t615 (tptp.hAPP @t2420 @t57)) (tptp.hAPP @t2420 @t4840))))) % 54.75/54.97 (assume @p4048 (forall @t1799 (=> @t4680 (tptp.c_Finite__Set_Ofun__left__comm @t14 @t14 @t761)))) % 54.75/54.97 (assume @p4049 (forall @t4695 (=> @t5249 (=> @t4686 (=> @t4690 @t3409))))) % 54.75/54.97 (assume @p4050 (forall @t4028 (=> @t5249 (= @t4323 @t4324)))) % 54.75/54.97 (assume @p4051 (forall @t5250 (=> @t5249 (=> @t3415 (= @t5232 @t5236))))) % 54.75/54.97 (assume @p4052 (forall (@list @t659 @t1314 @t57 @t2 @t420 @t14) (=> @t5249 (=> @t4690 (= @t5231 @t659))))) % 54.75/54.97 (assume @p4053 (forall (@list @t57 @t1314 @t2 @t420 @t14) (=> @t5249 (=> @t3415 (tptp.hBOOL (tptp.hAPP @t4685 @t5231)))))) % 54.75/54.97 (assume @p4054 (forall @t5250 (=> @t5249 (=> @t3415 (=> @t3608 @t5234))))) % 54.75/54.97 (assume @p4055 (forall @t5250 (=> @t5249 (=> @t3415 (=> @t3608 @t5237))))) % 54.75/54.97 (assume @p4056 (forall (@list @t54 @t659 @t1314 @t57 @t2 @t420 @t14) (=> @t5249 (=> @t4690 (=> @t3632 (exists (@list @t5251) (and (= @t659 (tptp.hAPP @t55 @t5251)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph @t14 @t420 @t2 @t57 @t3545) @t5251))))))))) % 54.75/54.97 (assume @p4057 (forall @t3420 (=> @t3287 (=> @t3415 (= @t5256 (tptp.hAPP (tptp.hAPP @t5253 (tptp.c_Orderings_Otop__class_Otop @t420)) @t1314)))))) % 54.75/54.97 (assume @p4058 (forall @t5261 (=> @t5260 (=> (not @t3652) @t3670)))) % 54.75/54.97 (assume @p4059 (forall @t5261 (=> @t5260 (=> @t3632 @t3652)))) % 54.75/54.97 (assume @p4060 (forall @t5268 (=> @t5267 (=> (not @t5263) (not @t5262))))) % 54.75/54.97 (assume @p4061 (forall @t5268 (=> @t5267 (=> @t5262 @t5263)))) % 54.75/54.97 (assume @p4062 (forall @t5271 (=> @t5270 (=> (not @t3630) @t3670)))) % 54.75/54.97 (assume @p4063 (forall @t5271 (=> @t5270 (=> @t3632 @t3630)))) % 54.75/54.97 (assume @p4064 (forall (@list @t1314 @t420 @t3330 @t14) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t3086 @t3330)) (tptp.hBOOL (tptp.hAPP @t3459 @t3329)))) (tptp.hBOOL (tptp.hAPP @t3459 @t5272))))) % 54.75/54.97 (assume @p4065 (forall @t3524 (= (tptp.hAPP @t2581 @t3309) (tptp.hAPP @t5265 @t5273)))) % 54.75/54.97 (assume @p4066 (forall @t3524 (= (tptp.hAPP @t2581 @t5266) (tptp.hAPP @t3308 @t5273)))) % 54.75/54.97 (assume @p4067 (forall @t3326 (= (tptp.hAPP (tptp.hAPP @t5264 @t3325) @t2575) (tptp.hAPP @t5275 (tptp.hAPP (tptp.hAPP @t3323 (tptp.hAPP (tptp.hAPP @t3322 @t5264) @t1467)) @t2575))))) % 54.75/54.97 (assume @p4068 (forall @t3320 (= (tptp.hAPP @t5265 (tptp.hAPP (tptp.hAPP @t3319 (tptp.hAPP (tptp.hAPP @t3318 @t5274) @t1467)) @t2575)) (tptp.hAPP (tptp.hAPP @t5274 @t3315) @t2575)))) % 54.75/54.97 (assume @p4069 (forall @t4449 (= @t5279 @t5276))) % 54.75/54.97 (assume @p4070 (forall @t3297 (= @t5276 @t5279))) % 54.75/54.97 (assume @p4071 (forall (@list @t87 @t1314 @t420 @t14) (= (tptp.hAPP @t4854 (tptp.hAPP @t5281 (tptp.hAPP @t5280 @t87))) (tptp.hAPP @t5265 (tptp.hAPP @t4899 (tptp.hAPP @t4643 @t87)))))) % 54.75/54.97 (assume @p4072 (forall @t1799 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 tptp.tc_HOL_Obool) (tptp.c_Set_OBall @t14)))) % 54.75/54.97 (assume @p4073 (forall @t3575 (and (=> @t3565 (= @t5285 @t1467)) (=> @t3566 (= @t5285 @t5283))))) % 54.75/54.97 (assume @p4074 (forall @t3575 (and (=> @t3565 (= @t5287 @t1314)) (=> @t3566 (= @t5287 @t5286))))) % 54.75/54.97 (assume @p4075 (forall @t3531 (=> @t3287 (=> @t3530 (= (tptp.hAPP @t5255 @t3529) @t3254))))) % 54.75/54.97 (assume @p4076 (forall @t3537 (and (=> @t3520 (= @t5288 @t3357)) (=> @t3530 (= @t5288 @t51))))) % 54.75/54.97 (assume @p4077 (forall (@list @t1467 @t14 @t420) (= (tptp.hAPP (tptp.hAPP @t5264 @t3522) @t1467) @t3353))) % 54.75/54.97 (assume @p4078 (forall (@list @t1467 @t1314 @t579 @t2020 @t420 @t14) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5292) @t5289)))) % 54.75/54.97 (assume @p4079 (forall @t3429 (= (tptp.hAPP (tptp.hAPP @t5264 @t3428) @t1467) (tptp.hAPP (tptp.hAPP @t4380 @t3427) @t5266)))) % 54.75/54.97 (assume @p4080 (forall (@list @t3254 @t1314 @t420 @t1572 @t14) (=> @t3302 (= (tptp.hBOOL (tptp.hAPP @t5293 (tptp.hAPP @t5295 @t3254))) (forall @t8 (=> @t3307 (tptp.hBOOL (tptp.hAPP @t5293 @t3327)))))))) % 54.75/54.97 (assume @p4081 (forall @t4450 (= (tptp.hBOOL (tptp.hAPP @t2487 @t5297)) (forall @t8 (=> @t3331 (tptp.hBOOL (tptp.hAPP @t2487 @t3329))))))) % 54.75/54.97 (assume @p4082 (forall (@list @t1467 @t54 @t2575 @t14 @t420) (= @t5299 @t5298))) % 54.75/54.97 (assume @p4083 (forall (@list @t1467 @t2575 @t420 @t54 @t14) (= @t5298 @t5299))) % 54.75/54.97 (assume @p4084 (forall @t3664 (=> @t3632 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3065 @t5259) @t3427))))) % 54.75/54.97 (assume @p4085 (forall @t3743 (=> @t3742 (= (tptp.hAPP @t5258 @t3563) (tptp.hAPP @t3411 @t5259))))) % 54.75/54.97 (assume @p4086 (forall @t3337 (= (tptp.hAPP (tptp.hAPP @t5264 @t3336) @t1467) (tptp.hAPP @t5275 @t3335)))) % 54.75/54.97 (assume @p4087 (forall @t3342 (= (tptp.hAPP @t5265 @t3341) (tptp.hAPP (tptp.hAPP @t5274 @t3339) @t1467)))) % 54.75/54.97 (assume @p4088 (forall @t3348 (= (tptp.hAPP @t5296 @t5300) (tptp.hAPP (tptp.hAPP @t4380 @t5297) (tptp.hAPP @t5296 @t1467))))) % 54.75/54.97 (assume @p4089 (forall @t3524 (= (tptp.hAPP @t4218 @t5266) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t420 @t4237) @t1314) @t4249)))) % 54.75/54.97 (assume @p4090 (forall @t3313 (=> @t3302 (= (tptp.hAPP @t5295 (tptp.hAPP (tptp.hAPP @t3312 @t5301) @t2)) (tptp.hAPP @t5301 (tptp.hAPP (tptp.hAPP @t3310 @t5295) @t2871)))))) % 54.75/54.97 (assume @p4091 (forall @t3303 (=> @t3302 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t420 @t2873) @t1314) @t2) @t16) (tptp.hAPP @t5295 @t3299))))) % 54.75/54.97 (assume @p4092 (forall @t3712 (= @t5267 (forall @t8 (=> @t3307 @t3711))))) % 54.75/54.97 (assume @p4093 (forall (@list @t54 @t2 @t1314 @t420 @t14) (=> @t3328 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 (tptp.hAPP @t5295 @t2)) @t54)) (exists @t8 (and @t3307 (tptp.hBOOL (tptp.hAPP @t3050 @t54)))))))) % 54.75/54.97 (assume @p4094 (forall @t3751 (=> @t3750 (= (tptp.hAPP (tptp.hAPP @t4467 @t3749) @t5272) @t5272)))) % 54.75/54.97 (assume @p4095 (forall @t3747 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5302 @t3746) @t16)) (tptp.hBOOL (tptp.hAPP @t3643 (tptp.hAPP @t5302 @t2020)))))) % 54.75/54.97 (assume @p4096 (forall @t3741 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t5269 @t3353) @t3740) @t16) @t659)) (tptp.hBOOL (tptp.hAPP @t3735 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 @t3733) @t3353) @t2020)))))) % 54.75/54.97 (assume @p4097 (forall @t3538 (= (= @t5266 @t3353) @t5303))) % 54.75/54.97 (assume @p4098 (forall @t3524 (= (= @t3353 @t5266) @t5303))) % 54.75/54.97 (assume @p4099 (forall @t4657 (= (tptp.hAPP @t4645 @t5291) (tptp.hAPP @t5275 @t4656)))) % 54.75/54.97 (assume @p4100 (forall @t5165 (= (tptp.hAPP @t5156 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t579 @t4291) @t3133) @t2020)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t579 @t3474) @t3133) @t5164)))) % 54.75/54.97 (assume @p4101 (forall @t4457 (= (tptp.hAPP (tptp.hAPP @t3144 @t5297) (tptp.hAPP @t5304 @t1467)) (tptp.hAPP @t5296 (tptp.hAPP (tptp.hAPP @t4456 @t5304) (tptp.hAPP (tptp.hAPP @t4453 (tptp.hAPP @t4452 @t3345)) @t1467)))))) % 54.75/54.97 (assume @p4102 (forall @t3298 (= @t5306 @t5305))) % 54.75/54.97 (assume @p4103 (forall @t4450 (= (tptp.hAPP @t3180 @t5297) (tptp.hAPP @t5296 (tptp.hAPP (tptp.hAPP @t4444 @t3180) @t1314))))) % 54.75/54.97 (assume @p4104 (forall @t4449 (= @t5308 @t5307))) % 54.75/54.97 (assume @p4105 (forall @t3297 (= @t5305 @t5306))) % 54.75/54.97 (assume @p4106 (forall @t3297 (= @t5307 @t5308))) % 54.75/54.97 (assume @p4107 (forall @t3344 (= (tptp.hAPP (tptp.hAPP @t5264 @t3173) @t3254) (tptp.hAPP (tptp.hAPP @t4380 (tptp.hAPP @t5265 @t3254)) (tptp.hAPP (tptp.hAPP @t5264 @t1467) @t3254))))) % 54.75/54.97 (assume @p4108 (forall @t3288 (=> @t3287 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 (tptp.hAPP (tptp.hAPP @t5254 @t1467) @t2)) @t5256)))))) % 54.75/54.97 (assume @p4109 (forall @t3538 (= @t5266 (tptp.hAPP @t4854 (tptp.hAPP @t5281 (tptp.hAPP @t5280 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t3321 @t2731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4237 (tptp.tc_fun @t3321 @t2731) @t14) @t4957) @t3085)) @t1467))))))) % 54.75/54.97 (assume @p4110 (forall @t3575 (and (=> @t3565 (= @t5283 @t3357)) (=> @t3566 (= @t5283 @t5285))))) % 54.75/54.97 (assume @p4111 (forall @t3575 (and (=> @t3565 (= @t5286 @t3357)) (=> @t3566 (= @t5286 @t5287))))) % 54.75/54.97 (assume @p4112 (forall @t3575 (and (=> @t3565 (= @t5310 @t3357)) (=> @t3566 (= @t5310 @t5309))))) % 54.75/54.97 (assume @p4113 (forall @t3575 (and (=> @t3565 (= @t5309 (tptp.hAPP (tptp.hAPP @t3074 @t3357) @t1467))) (=> @t3566 (= @t5309 @t5310))))) % 54.75/54.97 (assume @p4114 (forall @t3575 (and (=> @t3565 (= @t5312 @t1314)) (=> @t3566 (= @t5312 @t5311))))) % 54.75/54.97 (assume @p4115 (forall @t3731 (=> @t3287 (=> @t3730 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 (tptp.hAPP @t5255 @t3254)) @t3729)))))) % 54.75/54.97 (assume @p4116 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat @t2232) @t3349) @t3277) @t3498)) % 54.75/54.97 (assume @p4117 (forall @t3575 (and (=> @t3565 (= @t5311 @t3357)) (=> @t3566 (= @t5311 @t5312))))) % 54.75/54.97 (assume @p4118 (forall (@list @t1467 @t579 @t1314 @t2020 @t420 @t14) (=> (tptp.c_Relation_Osingle__valued @t14 @t420 @t5158) (=> (not (= @t1314 (tptp.c_Orderings_Obot__class_Obot @t2462))) (= @t5292 @t5289))))) % 54.75/54.97 (assume @p4119 (forall @t3288 (=> @t3287 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t5252 @t1467) @t5256) (tptp.hAPP (tptp.hAPP @t5253 @t1467) @t1314)))))) % 54.75/54.97 (assume @p4120 (forall @t2584 (=> @t3302 (=> @t3415 (= @t5313 (tptp.hAPP (tptp.hAPP @t5222 @t3355) @t1314)))))) % 54.75/54.97 (assume @p4121 (forall @t2584 (=> @t3302 (=> @t3415 (= @t5314 (tptp.hAPP (tptp.hAPP @t5218 @t3521) @t1314)))))) % 54.75/54.97 (assume @p4122 (forall (@list @t3254 @t14) (=> (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t4540 @t3254)) (tptp.hBOOL (tptp.hAPP @t3387 @t4)))) (tptp.hBOOL (tptp.hAPP @t3387 (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t3254)))))) % 54.75/54.97 (assume @p4123 (forall (@list @t1314 @t2575 @t89 @t14) (=> @t5319 (=> @t5318 @t5317)))) % 54.75/54.97 (assume @p4124 (forall (@list @t89 @t2575 @t1314 @t14) (=> @t5320 (=> @t5319 @t5318)))) % 54.75/54.97 (assume @p4125 (forall @t3538 (= @t5266 @t5323))) % 54.75/54.97 (assume @p4126 (forall @t5324 (= @t5323 @t5266))) % 54.75/54.97 (assume @p4127 (forall @t3538 (= @t5328 @t5326))) % 54.75/54.97 (assume @p4128 (forall @t3538 (= @t5326 @t5328))) % 54.75/54.97 (assume @p4129 (forall @t3276 (= @t5260 (forall @t8 (=> @t3087 @t3271))))) % 54.75/54.97 (assume @p4130 (forall @t3795 (= @t5270 (forall @t8 (=> @t3087 @t3794))))) % 54.75/54.97 (assume @p4131 (forall @t2491 (= (tptp.hAPP @t3158 @t5330) (tptp.hAPP (tptp.hAPP @t5329 @t1467) @t3158)))) % 54.75/54.97 (assume @p4132 (forall @t1799 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t4240) @t3353))) % 54.75/54.97 (assume @p4133 (forall @t2584 (= @t5331 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4237 tptp.tc_HOL_Obool @t14) (tptp.c_HOL_OAll @t2359)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4237 @t4237 @t14) (tptp.hAPP @t4923 (tptp.hAPP (tptp.hAPP @t4920 tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2359 @t4237 tptp.tc_HOL_Obool) @t4234) @t1314)))) @t3085)))))) % 54.75/54.97 (assume @p4134 (forall @t3707 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5333) (tptp.hAPP (tptp.hAPP @t3144 @t54) @t5332)))) % 54.75/54.97 (assume @p4135 (forall @t4345 (=> @t4353 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t4344) @t1314)))) % 54.75/54.97 (assume @p4136 (forall (@list @t54 @t3133 @t14) (=> @t3328 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3133)) @t54)) (exists @t8 (and @t4057 (tptp.hBOOL (tptp.hAPP @t3091 @t54)))))))) % 54.75/54.97 (assume @p4137 (forall (@list @t3133 @t54 @t14) (=> @t3328 (= (tptp.hBOOL (tptp.hAPP @t480 (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3133))) (exists @t8 (and @t4057 (tptp.hBOOL (tptp.hAPP @t480 @t4)))))))) % 54.75/54.97 (assume @p4138 (forall @t2584 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t4219) @t1314))) % 54.75/54.97 (assume @p4139 (forall @t4553 (= (tptp.hAPP @t4186 (tptp.c_Complete__Lattice_OSup__class_OSup @t3791 @t2461)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 (tptp.hAPP (tptp.c_Set_Oimage @t3791 @t2359 @t4186) @t2461))))) % 54.75/54.97 (assume @p4140 (forall @t3210 (=> @t5336 @t5335))) % 54.75/54.97 (assume @p4141 (forall @t3834 (=> @t3302 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5314) @t52)) @t5337)))) % 54.75/54.97 (assume @p4142 (forall (@list @t1314 @t52 @t14) (=> @t3302 (= (tptp.hBOOL (tptp.hAPP @t1068 @t5313)) @t5338)))) % 54.75/54.97 (assume @p4143 (forall @t3210 (=> @t5336 (tptp.hBOOL (tptp.hAPP @t2487 @t5339))))) % 54.75/54.97 (assume @p4144 (forall @t2491 (=> (tptp.hBOOL (tptp.hAPP @t5340 @t1467)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5339) @t5332))))) % 54.75/54.97 (assume @p4145 (forall @t1799 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t4240) @t3514))) % 54.75/54.97 (assume @p4146 (forall @t5342 (= (= (tptp.hAPP (tptp.hAPP @t4380 @t5315) @t1314) @t3514) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4540 @t2575)) (= (tptp.hAPP @t5341 @t1314) @t3514)))))) % 54.75/54.97 (assume @p4147 (forall @t2584 (=> @t5344 @t5343))) % 54.75/54.97 (assume @p4148 (forall @t2584 (=> @t3302 (= @t5314 (tptp.c_Complete__Lattice_OInf__class_OInf @t14 (tptp.hAPP @t4854 (tptp.hAPP @t5346 (tptp.hAPP @t5345 @t2659)))))))) % 54.75/54.97 (assume @p4149 (forall @t2584 (=> @t3302 (= @t5313 (tptp.c_Complete__Lattice_OSup__class_OSup @t14 (tptp.hAPP @t4854 (tptp.hAPP @t5346 (tptp.hAPP @t5345 @t1025)))))))) % 54.75/54.97 (assume @p4150 (forall @t2584 (tptp.hBOOL (tptp.hAPP @t5340 (tptp.hAPP @t4218 @t5339))))) % 54.75/54.97 (assume @p4151 (forall @t3210 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4242 @t1467) @t1314)) (tptp.hBOOL (tptp.hAPP @t5334 @t5330))))) % 54.75/54.97 (assume @p4152 (forall (@list @t3133 @t420 @t14) (= (tptp.hAPP @t5065 (tptp.c_Complete__Lattice_OSup__class_OSup @t3474 @t3133)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3474 @t2359) @t3133) @t5065)))) % 54.75/54.97 (assume @p4153 (forall (@list @t3133 @t14 @t420) (= (tptp.hAPP @t5047 (tptp.c_Complete__Lattice_OSup__class_OSup @t4291 @t3133)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4291 @t2359) @t3133) @t5047)))) % 54.75/54.97 (assume @p4154 (forall (@list @t1467 @t89 @t420 @t14) (= (tptp.hAPP (tptp.hAPP @t4710 (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t89)) @t1467) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2359 @t3474) @t89) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2359 @t2732 @t3474) @t4710) @t1467))))) % 54.75/54.97 (assume @p4155 (forall @t2791 (= (tptp.hAPP @t4645 @t5325) (tptp.hAPP @t5348 @t4645)))) % 54.75/54.97 (assume @p4156 (forall @t3210 (= (tptp.hAPP (tptp.hAPP @t4380 @t5332) @t1314) (tptp.hAPP @t5350 (tptp.hAPP (tptp.hAPP @t4836 @t4380) @t1314))))) % 54.75/54.97 (assume @p4157 (forall @t2491 (= (tptp.hAPP @t4381 @t5332) (tptp.hAPP @t5350 @t4381)))) % 54.75/54.97 (assume @p4158 (forall @t3538 (= @t5352 @t5351))) % 54.75/54.97 (assume @p4159 (forall @t3538 (= @t5351 @t5352))) % 54.75/54.97 (assume @p4160 (forall (@list @t3133 @t2 @t14 @t420) (= (tptp.hAPP @t3055 (tptp.c_Complete__Lattice_OSup__class_OSup @t2731 @t3133)) (tptp.hAPP (tptp.hAPP @t5347 @t3133) @t3055)))) % 54.75/54.97 (assume @p4161 (forall @t1799 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t4243) @t3353))) % 54.75/54.97 (assume @p4162 (forall @t2491 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5353) (tptp.hAPP (tptp.hAPP @t3144 @t5339) @t5332)))) % 54.75/54.97 (assume @p4163 (forall @t3707 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5333) (tptp.hAPP (tptp.hAPP @t4380 @t54) @t5330)))) % 54.75/54.97 (assume @p4164 (forall @t5324 (= @t5354 @t3309))) % 54.75/54.97 (assume @p4165 (forall @t3538 (= @t3309 @t5354))) % 54.75/54.97 (assume @p4166 (forall @t3405 (=> @t3302 (=> @t3607 (tptp.hBOOL (tptp.hAPP @t1026 @t5314)))))) % 54.75/54.97 (assume @p4167 (forall @t1799 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t4243) @t3514))) % 54.75/54.97 (assume @p4168 (forall @t3405 (=> @t3302 (=> @t3607 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5313) @t16)))))) % 54.75/54.97 (assume @p4169 (forall @t2491 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5353) (tptp.hAPP (tptp.hAPP @t4380 @t5331) @t5330)))) % 54.75/54.97 (assume @p4170 (forall @t1799 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3514) @t3521)))) % 54.75/54.97 (assume @p4171 (forall @t392 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3518) @t54)))) % 54.75/54.97 (assume @p4172 (forall @t3464 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3455) (tptp.hAPP @t4541 @t5314))))) % 54.75/54.97 (assume @p4173 (forall @t3297 (= (tptp.hAPP @t5277 @t5300) (tptp.hAPP (tptp.hAPP @t4380 (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5356)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5355))))) % 54.75/54.97 (assume @p4174 (forall @t1799 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3353) @t3355)))) % 54.75/54.97 (assume @p4175 (forall @t392 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3518) @t54)))) % 54.75/54.97 (assume @p4176 (forall @t1799 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3514) @t3355)))) % 54.75/54.97 (assume @p4177 (forall @t1799 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3353) @t3521)))) % 54.75/54.97 (assume @p4178 (forall @t3464 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3455) (tptp.hAPP @t4479 @t5313))))) % 54.75/54.97 (assume @p4179 (forall @t2491 (= @t3159 (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5357)))) % 54.75/54.97 (assume @p4180 (forall @t3297 (= (tptp.hAPP @t3290 @t3347) (tptp.hAPP (tptp.hAPP @t3144 (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5356)) (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5355))))) % 54.75/54.97 (assume @p4181 (forall @t2491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t5358)) (tptp.hAPP (tptp.hAPP @t4380 @t5339) @t5332))))) % 54.75/54.97 (assume @p4182 (forall @t2491 (= @t4382 (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5357)))) % 54.75/54.97 (assume @p4183 (forall @t2491 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP (tptp.hAPP @t3144 @t5331) @t5330)) (tptp.c_Complete__Lattice_OInf__class_OInf @t2359 @t5358))))) % 54.75/54.97 (assume @p4184 (forall @t771 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t3517) @t5241)))) % 54.75/54.97 (assume @p4185 (forall @t771 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t3517) @t5243)))) % 54.75/54.97 (assume @p4186 (forall @t2491 (=> @t3302 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t3185 @t1467) @t5314) (tptp.hAPP (tptp.hAPP @t5218 @t1467) @t1314)))))) % 54.75/54.97 (assume @p4187 (forall @t2584 (=> @t3302 (=> @t3415 (=> @t3530 (= @t3883 @t5314)))))) % 54.75/54.97 (assume @p4188 (forall @t2491 (=> @t3302 (=> @t3415 (= (tptp.hAPP (tptp.hAPP @t4392 @t1467) @t5313) (tptp.hAPP (tptp.hAPP @t5222 @t1467) @t1314)))))) % 54.75/54.97 (assume @p4189 (forall @t2584 (=> @t3302 (=> @t3415 (=> @t3530 (= @t4539 @t5313)))))) % 54.75/54.97 (assume @p4190 (forall (@list @t1531 @t1467 @t1314 @t579 @t2575 @t2 @t420 @t14) (=> @t4600 (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3658 @t4) @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t3269) @t2575)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3658 @t1531) @t1314)) (= (tptp.hAPP @t3068 (tptp.hAPP @t5275 @t1467)) (tptp.hAPP @t5290 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 @t2731 @t579) @t3068) @t1467)))))))) % 54.75/54.97 (assume @p4191 (forall (@list @t349 @t2575 @t14) (=> (tptp.hBOOL (tptp.hAPP @t4248 @t2575)) (=> (tptp.hBOOL (tptp.hAPP @t3387 @t5315)) (=> (forall (@list @t5361) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t5361) @t2575)) (= (tptp.hAPP @t3112 @t5361) @t349))) (=> (forall (@list @t5360) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t5360) @t2575)) (forall (@list @t5359) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t5359) @t2575)) (=> (not (= @t5360 @t5359)) (= (tptp.hAPP (tptp.hAPP @t4380 @t5360) @t5359) @t3514)))))) (= (tptp.hAPP @t1039 (tptp.hAPP @t4220 @t2575)) (tptp.hAPP @t3112 @t5315)))))))) % 54.75/54.97 (assume @p4192 (forall @t3928 (= @t5363 (tptp.hAPP (tptp.hAPP @t5329 @t3133) @t5362)))) % 54.75/54.97 (assume @p4193 (forall @t3928 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t3133) (tptp.hAPP (tptp.hAPP @t5349 @t3133) @t5362)))) % 54.75/54.97 (assume @p4194 (forall @t2584 (=> @t5343 (=> (forall (@list @t5364) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t5364) @t1314)) (tptp.hBOOL (tptp.hAPP @t3387 @t5364)))) @t5344)))) % 54.75/54.97 (assume @p4195 (forall (@list @t3423 @t16 @t14) (=> (not (tptp.hBOOL (tptp.hAPP @t4251 @t3423))) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t4540 @t5365)) (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t3014) @t5365)) (=> @t3438 (= (tptp.hAPP @t5341 @t3014) @t3514)))))) (= (tptp.hAPP (tptp.hAPP @t4380 @t16) (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 @t3423)) @t3514))))) % 54.75/54.97 (assume @p4196 (forall (@list @t2 @t420 @t14 @t3133) (=> (not (= @t3133 @t4240)) (=> (forall @t5096 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4234 @t4223) @t3133)) (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t4223))) (tptp.c_Fun_Oinj__on @t14 @t420 @t2 @t5363))))) % 54.75/54.97 (assume @p4197 (forall @t2491 (=> (forall @t5368 (=> (tptp.hBOOL (tptp.hAPP @t5367 @t1314)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5366) @t1467)))) (=> (not (= @t1314 @t4240)) @t5335)))) % 54.75/54.97 (assume @p4198 (forall (@list @t1314 @t2 @t579 @t420 @t14 @t3330) (=> (not (= @t3330 @t3514)) (=> (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t3841 @t3330)) (tptp.c_Fun_Oinj__on @t420 @t579 @t2 (tptp.hAPP @t1314 @t1231)))) (tptp.c_Fun_Oinj__on @t420 @t579 @t2 @t5272))))) % 54.75/54.97 (assume @p4199 (forall (@list @t1671 @t1314 @t16 @t57 @t2 @t420 @t14) (=> @t5249 (=> (tptp.hBOOL (tptp.hAPP @t4689 @t1671)) (=> @t3608 (not (forall @t260 (=> (= @t1671 (tptp.hAPP @t615 @t257)) (not (tptp.hBOOL (tptp.hAPP @t4685 @t257))))))))))) % 54.75/54.97 (assume @p4200 (forall @t5369 (=> @t704 (=> @t3415 (=> @t5337 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP (tptp.hAPP @t5214 @t51) @t1314)) (tptp.hAPP (tptp.hAPP @t2630 @t52) @t51)))))))) % 54.75/54.97 (assume @p4201 (forall @t5369 (=> @t704 (=> @t3415 (=> @t5338 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t4480 @t51)) (tptp.hAPP (tptp.hAPP @t5225 @t51) @t1314)))))))) % 54.75/54.97 (assume @p4202 (forall @t5342 (=> (forall @t5368 (=> @t5371 @t5370)) @t5320))) % 54.75/54.97 (assume @p4203 (forall @t5369 (=> @t4395 (=> @t3415 (=> @t5338 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP (tptp.hAPP @t4392 @t52) @t51)) (tptp.hAPP (tptp.hAPP @t5222 @t51) @t1314)))))))) % 54.75/54.97 (assume @p4204 (forall @t5369 (=> @t3212 (=> @t3415 (=> @t5337 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP (tptp.hAPP @t5218 @t51) @t1314)) (tptp.hAPP (tptp.hAPP @t3185 @t52) @t51)))))))) % 54.75/54.97 (assume @p4205 (forall @t2023 (= @t5018 (forall (@list @t5372) (=> (exists @t8 @t5373) (exists @t8 (and @t5373 (forall @t260 (=> (tptp.hBOOL (tptp.hAPP @t5206 @t2020)) (not (tptp.hBOOL (tptp.hAPP @t4338 @t5372)))))))))))) % 54.75/54.97 (assume @p4206 (forall @t4489 (=> @t5374 (=> @t3616 (=> @t3484 @t4505))))) % 54.75/54.97 (assume @p4207 (forall (@list @t5375 @t87) (=> (forall @t8 (=> @t1144 (= @t1143 (tptp.hBOOL (tptp.hAPP @t5375 @t4))))) (= @t4919 (tptp.hAPP @t4918 (tptp.hAPP @t2456 @t5375)))))) % 54.75/54.97 (assume @p4208 (forall (@list @t16 @t3423 @t1 @t57 @t2 @t420 @t14) (=> @t5374 @t4244))) % 54.75/54.97 (assume @p4209 (forall @t3618 (=> @t5374 (=> @t3616 (=> @t3644 (= @t3709 @t3708)))))) % 54.75/54.97 (assume @p4210 (forall @t3618 (=> @t5374 (=> @t3616 @t3710)))) % 54.75/54.97 (assume @p4211 (forall @t4489 (=> @t5374 (=> @t3616 (=> (tptp.hBOOL (tptp.hAPP @t3485 @t1314)) @t4250))))) % 54.75/54.97 (assume @p4212 (forall (@list @t2599 @t87 @t1467 @t1314 @t14) (=> @t2490 (=> (forall @t8 (=> @t3087 (=> @t1143 (tptp.hBOOL @t2983)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t4892) (tptp.hAPP @t4410 @t4862))))))) % 54.75/54.97 (assume @p4213 (forall @t3378 (=> @t5317 (not (forall @t5368 (=> @t5370 (not @t5371))))))) % 54.75/54.97 (assume @p4214 (forall (@list @t5376 @t5379 @t5378 @t420 @t347 @t14) (=> (not (tptp.hBOOL (tptp.hAPP @t5380 (tptp.c_Map_Odom @t14 @t420 @t5378)))) (= (tptp.c_Map_Omap__add @t14 @t420 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t5379) @t347) @t5377) @t5378) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 (tptp.c_Map_Omap__add @t14 @t420 @t5379 @t5378)) @t347) @t5377))))) % 54.75/54.97 (assume @p4215 (forall (@list @t2020 @t5381 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 @t5381) @t5158)) (not (forall @t2496 (=> (= @t5381 (tptp.hAPP (tptp.hAPP @t2400 @t257) @t4)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 (tptp.hAPP @t4294 @t257)) @t2020))))))))) % 54.75/54.97 (assume @p4216 (forall @t5388 (= @t5387 @t5385))) % 54.75/54.97 (assume @p4217 (forall @t5388 (=> @t5387 @t5385))) % 54.75/54.97 (assume @p4218 (forall (@list @t102 @t347 @t420 @t14) (= (tptp.c_Map_Odom @t14 @t420 (tptp.c_Map_Omap__add @t14 @t420 @t347 @t102)) (tptp.hAPP (tptp.hAPP @t3144 (tptp.c_Map_Odom @t14 @t420 @t102)) @t4671)))) % 54.75/54.97 (assume @p4219 (forall @t5394 (=> @t5393 @t5392))) % 54.75/54.97 (assume @p4220 (forall @t5394 (=> (not @t5393) (= @t5391 (tptp.hAPP @t5390 @t347))))) % 54.75/54.97 (assume @p4221 (forall (@list @t5389 @t5390 @t420 @t347 @t14) (=> (not (tptp.hBOOL (tptp.hAPP @t5380 (tptp.c_Map_Odom @t14 @t420 @t5390)))) @t5392))) % 54.75/54.97 (assume @p4222 (forall @t4896 (= (tptp.c_Map_Omap__add @t14 @t420 @t4080 @t347) @t347))) % 54.75/54.97 (assume @p4223 (forall @t4896 (= (tptp.c_Map_Omap__add @t14 @t420 @t347 @t4080) @t347))) % 54.75/54.97 (assume @p4224 (forall (@list @t349 @t102 @t347 @t14 @t420) (= (= @t5386 @t285) (and @t5384 (= @t5382 @t285))))) % 54.75/54.97 (assume @p4225 (forall (@list @t347 @t420 @t5395 @t14 @t349 @t102) (=> (= @t5383 @t5396) (= @t5386 @t5396)))) % 54.75/54.97 (assume @p4226 (forall (@list @t5397 @t5398 @t5399 @t420 @t14) (= (tptp.c_Map_Omap__add @t14 @t420 @t5399 (tptp.c_Map_Omap__add @t14 @t420 @t5398 @t5397)) (tptp.c_Map_Omap__add @t14 @t420 @t5400 @t5397)))) % 54.75/54.97 (assume @p4227 (forall (@list @t16 @t5398 @t5399 @t14 @t420) (= (tptp.hAPP (tptp.c_Map_Omap__add @t420 @t14 @t5399 @t5398) @t16) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2706 @t14 (tptp.hAPP @t5399 @t16) @t292) (tptp.hAPP @t5398 @t16))))) % 54.75/54.97 (assume @p4228 (forall (@list @t659 @t16 @t1 @t2 @t420 @t14) (= (tptp.c_Map_Omap__add @t14 @t420 @t2 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t1) @t16) @t4075)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 (tptp.c_Map_Omap__add @t14 @t420 @t2 @t1)) @t16) @t4075)))) % 54.75/54.97 (assume @p4229 (forall (@list @t5401 @t347 @t420 @t14) (= (tptp.c_Fun_Oinj__on @t14 @t4074 (tptp.c_Map_Omap__add @t14 @t420 @t347 @t5401) @t5402) (tptp.c_Fun_Oinj__on @t14 @t4074 @t5401 @t5402)))) % 54.75/54.97 (assume @p4230 (forall (@list @t5398 @t5399 @t420 @t14) (=> (= (tptp.hAPP (tptp.hAPP @t4380 (tptp.c_Map_Odom @t14 @t420 @t5399)) (tptp.c_Map_Odom @t14 @t420 @t5398)) @t3514) (= @t5400 (tptp.c_Map_Omap__add @t14 @t420 @t5398 @t5399))))) % 54.75/54.97 (assume @p4231 (forall (@list @t1525 @t2 @t420 @t14) (=> @t4073 (tptp.hBOOL (tptp.hAPP @t3466 (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2706 (tptp.c_Map_Omap__add @t420 @t14 @t2 (tptp.c_Map_Omap__of @t420 @t14 @t1525))) @t3357)))))) % 54.75/54.97 (assume @p4232 (forall (@list @t98 @t2020 @t579 @t5403 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 @t5403) @t4996)) (not (forall (@list @t4 @t257 @t1456) (=> (= @t5403 @t5210) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4991 (tptp.hAPP (tptp.hAPP @t2422 @t4) @t257)) @t2020)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4987 (tptp.hAPP (tptp.hAPP @t2649 @t257) @t1456)) @t98)))))))))) % 54.75/54.97 (assume @p4233 (forall (@list @t1525 @t420 @t14) (tptp.hBOOL (tptp.hAPP @t3387 (tptp.c_Map_Odom @t14 @t420 @t5404))))) % 54.75/54.97 (assume @p4234 (forall @t5407 (tptp.hBOOL (tptp.hAPP @t3466 (tptp.hAPP (tptp.c_Set_Oimage @t420 @t2706 @t5406) @t3357))))) % 54.75/54.97 (assume @p4235 (forall (@list @t5408 @t347 @t420 @t14) (= (tptp.c_Map_Omap__add @t14 @t420 @t347 @t5415) (tptp.c_List_Ofoldr @t2437 @t5409 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t5411) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5414 @t5413) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5412 (tptp.tc_fun @t5414 @t5413) @t14) (tptp.c_COMBB @t4074 @t5411 @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t5409 @t5410) @t5412 @t14) (tptp.c_COMBC @t5409 @t4074 @t5409)) (tptp.hAPP (tptp.c_COMBC @t5409 @t14 @t5410) @t4076)))) @t421)) @t5408 @t347)))) % 54.75/54.97 (assume @p4236 (forall @t705 (= (tptp.c_Smallcheck_Oorelse @t14 @t16 @t659) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2706 @t14 @t659 @t292) @t16)))) % 54.75/54.97 (assume @p4237 (forall @t5418 (= (tptp.c_Smallcheck_Ofull__small__class_Ofull__small tptp.tc_Int_Oint @t2 @t859) (tptp.c_Smallcheck_Ofull__small_H @t2 @t5416 @t5417)))) % 54.75/54.97 (assume @p4238 (forall (@list @t2 @t434 @t859) @t5424)) % 54.75/54.97 (assume @p4239 (forall (@list @t434 @t859 @t2) (=> (tptp.hBOOL (tptp.hAPP @t5427 (tptp.hAPP (tptp.hAPP @t5426 @t2) (tptp.hAPP (tptp.hAPP @t2179 @t859) @t434)))) @t5424))) % 54.75/54.97 (assume @p4240 (forall @t5418 (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall tptp.tc_Int_Oint) @t2) @t859) (tptp.c_Smallcheck_Osmall_H @t2 @t5416 @t5417)))) % 54.75/54.97 (assume @p4241 (forall (@list @t859 @t2 @t14 @t420) (=> (and (tptp.class_Smallcheck_Osmall @t420) (tptp.class_Smallcheck_Osmall @t14)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t2437) @t2) @t859) (tptp.hAPP (tptp.hAPP (tptp.c_Smallcheck_Osmall__class_Osmall @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 tptp.tc_Code__Numeral_Ocode__numeral @t5420) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5428 (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral @t5420) @t14) (tptp.c_Smallcheck_Osmall__class_Osmall @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 @t5428 @t14) (tptp.hAPP (tptp.c_COMBB @t2437 @t5420 @t420) @t2)) @t2400))) @t859)) @t859))))) % 54.75/54.97 (assume @p4242 (forall (@list @t87 @t97 @t94 @t2386) (=> (tptp.hBOOL (tptp.hAPP @t5427 (tptp.hAPP (tptp.hAPP @t5426 @t2386) (tptp.hAPP (tptp.hAPP @t2179 @t94) @t97)))) (=> (forall (@list @t4245 @t1561 @t1231) (=> (tptp.hBOOL (tptp.hAPP @t5427 (tptp.hAPP (tptp.hAPP @t5426 @t4245) (tptp.hAPP (tptp.hAPP @t2179 @t1561) @t1231)))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t1561) @t1231))) (=> (= @t5031 @t5423) (tptp.hBOOL (tptp.hAPP @t5429 @t3350)))) (tptp.hBOOL (tptp.hAPP @t5429 @t1231))))) (tptp.hBOOL (tptp.hAPP @t2387 @t97)))))) % 54.75/54.97 (assume @p4243 (= tptp.c_Com_Obody @t5430)) % 54.75/54.97 (assume @p4244 (forall (@list @t16 @t349 @t104 @t579 @t2 @t420 @t14) (=> @t4584 (=> (= (tptp.hAPP (tptp.c_Map_Omap__of @t14 @t579 @t104) @t349) @t5432) (= (tptp.hAPP (tptp.c_Map_Omap__of @t420 @t579 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4787 @t2442) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t579 @t2442) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t3738 @t14) @t2431) @t2))) @t104)) (tptp.hAPP @t2 @t349)) @t5432))))) % 54.75/54.97 (assume @p4245 (forall (@list @t349 @t1 @t2 @t579 @t14 @t420) (= (tptp.c_Map_Omap__comp @t420 @t14 @t579 @t2 @t1 @t349) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t2706 @t420 @t285 @t2) (tptp.hAPP @t1 @t349))))) % 54.75/54.97 (assume @p4246 (forall @t3542 (=> @t4584 @t5438))) % 54.75/54.97 (assume @p4247 (forall (@list @t5399 @t420 @t579 @t5439 @t14 @t349 @t5398) (=> (= @t5441 (tptp.hAPP @t292 @t5439)) (= @t5440 (tptp.hAPP @t5399 @t5439))))) % 54.75/54.97 (assume @p4248 (forall (@list @t1671 @t349 @t5398 @t5399 @t579 @t14 @t420) (= (= @t5447 @t5442) (exists @t5446 (and @t5445 (= @t5444 @t5442)))))) % 54.75/54.97 (assume @p4249 (forall (@list @t5399 @t420 @t579 @t14 @t349 @t5398) (=> (= @t5441 @t285) (= @t5440 (tptp.c_Option_Ooption_ONone @t579))))) % 54.75/54.97 (assume @p4250 (forall @t1799 (= @t5450 @t5448))) % 54.75/54.97 (assume @p4251 (forall @t1799 (= (tptp.hAPP @t5449 @t4978) @t5448))) % 54.75/54.97 (assume @p4252 (forall @t5452 (= (tptp.hAPP @t5450 @t5451) @t5451))) % 54.75/54.97 (assume @p4253 (forall @t5460 (=> @t5459 (=> (tptp.c_Fun_Oinj__on @t420 @t14 @t2 @t3357) @t5454)))) % 54.75/54.97 (assume @p4254 (forall @t3542 (=> @t5438 @t4584))) % 54.75/54.97 (assume @p4255 (forall @t5464 (=> @t4584 @t5463))) % 54.75/54.97 (assume @p4256 (forall @t3542 (= @t5438 @t4584))) % 54.75/54.97 (assume @p4257 (forall @t5468 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5467 @t5437 @t5039 @t5466) (tptp.hAPP (tptp.c_List_Omap @t14 @t579) @t1)) (tptp.hAPP @t5435 @t4284)))) % 54.75/54.97 (assume @p4258 (forall (@list @t5469 @t1 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t5456 (tptp.hAPP @t5472 @t5469)) (tptp.hAPP @t5471 @t5469)))) % 54.75/54.97 (assume @p4259 (forall (@list @t5451 @t1 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t5456 (tptp.hAPP @t5472 @t5451)) (tptp.hAPP @t5471 @t5451)))) % 54.75/54.97 (assume @p4260 (forall (@list @t54 @t5451 @t2 @t579 @t1 @t14 @t420) (= (tptp.c_List_Ofoldr @t420 @t14 @t1 @t5473 @t54) (tptp.c_List_Ofoldr @t579 @t14 (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t2256 @t579 @t1) @t2) @t5451 @t54)))) % 54.75/54.97 (assume @p4261 (forall @t5474 (= (tptp.c_Map_Omap__comp @t420 @t14 @t579 @t4087 @t347 @t16) @t285))) % 54.75/54.97 (assume @p4262 (forall @t5474 (= (tptp.c_Map_Omap__comp @t420 @t14 @t579 @t347 @t5475 @t16) @t285))) % 54.75/54.97 (assume @p4263 (forall (@list @t349 @t5398 @t5399 @t579 @t14 @t420) (= (= @t5447 @t285) (or (= @t5441 @t425) (exists @t5446 (and @t5445 (= @t5444 @t285))))))) % 54.75/54.97 (assume @p4264 (forall (@list @t5451 @t2 @t579 @t420 @t14) (= (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP @t5481 @t5451)) (tptp.hAPP @t5479 (tptp.c_Map_Omap__of @t14 @t579 @t5451))))) % 54.75/54.97 (assume @p4265 (forall (@list @t347 @t420 @t5451 @t14) (=> (= @t5485 @t4671) (= (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP (tptp.hAPP @t5483 (tptp.hAPP @t5482 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4074 @t420 @t14) (tptp.c_Option_Othe @t420)) @t347))) @t5451)) @t347)))) % 54.75/54.97 (assume @p4266 (forall @t5452 (tptp.hBOOL (tptp.hAPP @t3387 @t5485)))) % 54.75/54.97 (assume @p4267 (forall @t5489 (= (tptp.hAPP @t5484 @t5458) @t5488))) % 54.75/54.97 (assume @p4268 (forall (@list @t1 @t5451 @t2 @t14 @t420) (= (= @t5458 @t5490) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3306 @t5487)) @t7))))) % 54.75/54.97 (assume @p4269 (forall (@list @t5491 @t1 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t5494 (tptp.hAPP @t5493 @t5491)) (tptp.hAPP @t5492 @t5491)))) % 54.75/54.97 (assume @p4270 (forall (@list @t5495 @t1 @t579 @t2 @t14 @t420) (= (tptp.hAPP @t5494 (tptp.hAPP @t5493 @t5495)) (tptp.hAPP @t5492 @t5495)))) % 54.75/54.97 (assume @p4271 (forall @t5468 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5478 @t4074 @t2706 @t5477) (tptp.hAPP (tptp.c_Option_Omap @t14 @t579) @t1)) (tptp.hAPP @t5496 @t4284)))) % 54.75/54.97 (assume @p4272 (forall (@list @t2680 @t1 @t2 @t420 @t14 @t579 @t2443) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5498 @t5478 @t2672 @t5497) (tptp.c_Sum__Type_Osum_Osum__case @t14 @t5498 @t420 @t1 @t2680)) (tptp.c_Sum__Type_Osum_Osum__case @t14 @t5478 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t5498 @t5478 @t14 @t5497) @t1) (tptp.hAPP (tptp.c_Fun_Ocomp @t5498 @t5478 @t420 @t5497) @t2680))))) % 54.75/54.97 (assume @p4273 (forall (@list @t347 @t2 @t579 @t420 @t14) (= (tptp.c_Map_Odom @t14 @t420 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t14 @t5478 @t4074) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4585 (tptp.tc_fun @t5478 @t4074) @t14) @t5476) @t2)) @t347)) (tptp.c_Map_Odom @t14 @t579 @t347)))) % 54.75/54.97 (assume @p4274 (forall @t1799 (not (tptp.hBOOL (tptp.hAPP @t5499 @t5434))))) % 54.75/54.97 (assume @p4275 (forall @t1799 (= (tptp.hAPP @t5501 @t2207) @t5500))) % 54.75/54.97 (assume @p4276 (forall @t1799 (= (tptp.hAPP @t5501 @t4978) @t5500))) % 54.75/54.97 (assume @p4277 (forall (@list @t659 @t3601 @t2 @t14 @t420) (= (= (tptp.hAPP @t5494 @t3601) @t4083) (exists @t1457 (and (= @t3601 (tptp.hAPP @t421 @t1456)) (= (tptp.hAPP @t2 @t1456) @t659)))))) % 54.75/54.97 (assume @p4278 (forall @t5502 (= (tptp.hAPP @t5494 @t4081) (tptp.hAPP @t292 @t615)))) % 54.75/54.97 (assume @p4279 (forall (@list @t5491 @t2 @t14 @t420) (= (= (tptp.hAPP @t5494 @t5491) @t285) (= @t5491 @t425)))) % 54.75/54.97 (assume @p4280 (forall @t3526 (= (tptp.hAPP @t5494 @t425) @t285))) % 54.75/54.97 (assume @p4281 (forall @t616 (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t4074 @t2706 @t579 @t5494) @t5475) @t16) @t285))) % 54.75/54.97 (assume @p4282 (forall (@list @t52 @t54 @t347 @t2 @t14 @t420 @t579) (= (tptp.hAPP @t5479 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ofun__upd @t14 @t5478) @t347) @t54) (tptp.hAPP @t5431 @t52))) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 (tptp.hAPP @t5479 @t347)) @t54) (tptp.hAPP @t421 @t53))))) % 54.75/54.97 (assume @p4283 (forall @t5464 (=> @t5505 @t5463))) % 54.75/54.97 (assume @p4284 (forall @t5460 (=> @t5459 (=> (tptp.c_Fun_Oinj__on @t420 @t14 @t2 (tptp.hAPP (tptp.hAPP @t3171 @t5487) @t5506)) @t5454)))) % 54.75/54.97 (assume @p4285 (forall (@list @t1671 @t2 @t420 @t5451 @t659 @t14) (=> (not @t5507) (= (tptp.hAPP (tptp.hAPP @t5435 (tptp.hAPP (tptp.hAPP @t3999 @t659) @t1671)) @t5451) @t5462)))) % 54.75/54.97 (assume @p4286 (forall @t2791 (=> (tptp.c_Fun_Oinj__on @t14 @t420 @t2 (tptp.c_Complete__Lattice_OSup__class_OSup @t2359 (tptp.hAPP (tptp.c_Set_Oimage @t5039 @t2359 @t5484) @t1314))) (tptp.c_Fun_Oinj__on @t5039 @t5437 @t5436 @t1314)))) % 54.75/54.97 (assume @p4287 (forall @t5514 (=> @t5513 (= (tptp.hAPP @t5072 @t5510) (tptp.hAPP @t5072 @t5509))))) % 54.75/54.97 (assume @p4288 (forall (@list @t659 @t349 @t5451 @t14 @t420) (=> (= @t5516 @t4083) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 (tptp.hAPP (tptp.hAPP @t2593 @t349) @t659)) (tptp.hAPP @t5515 @t5451)))))) % 54.75/54.97 (assume @p4289 (forall (@list @t659 @t16 @t5405 @t14 @t420) (=> (= @t5518 @t4083) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4295 @t2595) @t5517))))) % 54.75/54.97 (assume @p4290 (forall @t5407 (= (tptp.c_Map_Odom @t14 @t420 @t5520) (tptp.hAPP @t5072 @t5519)))) % 54.75/54.97 (assume @p4291 (forall (@list @t16 @t5405 @t14 @t420) (= (= @t5518 @t285) (not (tptp.hBOOL (tptp.hAPP @t3643 (tptp.hAPP @t4761 @t5517))))))) % 54.75/54.97 (assume @p4292 (forall @t3542 (= (tptp.hAPP @t5496 @t2) (tptp.c_Option_Ooption_Ooption__case @t4074 @t14 @t425 @t4674)))) % 54.75/54.97 (assume @p4293 (= tptp.c_Com_OWT__bodies (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t5521) @t4) (tptp.hAPP (tptp.c_List_Oset @t5521) 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)))))) % 54.75/54.97 (assume @p4294 (forall (@list @t5522 @t2 @t420 @t14) (= (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP (tptp.hAPP @t5483 (tptp.hAPP @t5482 @t2)) @t5522)) (tptp.c_Map_Orestrict__map @t14 @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t420 @t4074 @t14 @t421) @t2) (tptp.hAPP @t5484 @t5522))))) % 54.75/54.97 (assume @p4295 (forall (@list @t5523 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5525 (tptp.hAPP @t5524 @t5523))) (= (tptp.c_Map_Oran @t14 @t420 (tptp.c_Map_Omap__of @t14 @t420 @t5523)) (tptp.hAPP @t4763 (tptp.hAPP @t5508 @t5523)))))) % 54.75/54.97 (assume @p4296 (forall @t5527 (=> @t5526 (= @t5510 (tptp.hAPP @t4889 (tptp.hAPP @t2403 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5414 @t2731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t4894 (tptp.tc_fun @t5414 @t2731) @t14) (tptp.c_COMBB @t4074 tptp.tc_HOL_Obool @t420)) (tptp.hAPP @t4895 @t5512))) @t421))))))) % 54.75/54.97 (assume @p4297 (forall @t5489 (= (tptp.hBOOL (tptp.hAPP @t5525 @t5458)) (and @t5529 (tptp.c_Fun_Oinj__on @t420 @t14 @t2 @t5487))))) % 54.75/54.97 (assume @p4298 (forall @t5514 (=> @t5526 (=> (tptp.hBOOL (tptp.hAPP @t5525 (tptp.hAPP @t5524 @t5453))) (= @t5513 (= @t5510 @t5509)))))) % 54.75/54.97 (assume @p4299 (forall @t5534 (=> @t5533 (=> @t5532 @t5531)))) % 54.75/54.97 (assume @p4300 (forall @t5534 (=> @t5533 (= @t5531 @t5532)))) % 54.75/54.97 (assume @p4301 (forall (@list @t16 @t659 @t5405 @t420 @t14) (=> @t5533 (= (= @t4075 @t5530) @t5532)))) % 54.75/54.97 (assume @p4302 (forall @t3106 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint @t434 @t1531) (tptp.hAPP @t5536 (tptp.c_List_Oupto @t3598 @t5535))))) % 54.75/54.97 (assume @p4303 (forall (@list @t1525 @t16 @t349 @t420 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3659 (tptp.hAPP (tptp.hAPP @t2400 @t349) @t16)) (tptp.hAPP @t5508 @t1525))) (exists @t8 (= (tptp.hAPP @t5404 @t349) (tptp.hAPP @t421 @t4)))))) % 54.75/54.97 (assume @p4304 (forall @t3106 (= @t5538 @t3599))) % 54.75/54.97 (assume @p4305 (forall @t3106 (= @t3599 @t5538))) % 54.75/54.97 (assume @p4306 (forall @t545 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) @t5539)))) % 54.75/54.97 (assume @p4307 (forall @t3106 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint @t434) @t1531) (tptp.hAPP @t5536 (tptp.c_List_Oupto @t434 @t5535))))) % 54.75/54.97 (assume @p4308 (forall @t3106 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint @t434 @t1531) (tptp.hAPP @t5536 @t5540)))) % 54.75/54.97 (assume @p4309 (forall @t1916 (= (tptp.c_List_Onat__list @t1525) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP @t5536 @t1525))))) % 54.75/54.97 (assume @p4310 (forall @t5545 (=> @t5544 (= @t5543 (tptp.hAPP @t5541 @t3543))))) % 54.75/54.97 (assume @p4311 (forall @t5546 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5543) @t5485)))) % 54.75/54.97 (assume @p4312 (forall @t5546 (=> @t5548 (= @t5542 @t5451)))) % 54.75/54.97 (assume @p4313 (forall (@list @t659 @t5451 @t16 @t14) (=> @t5548 (not (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5484 (tptp.c_List_Oremove1 @t14 @t659 @t5451)))))))) % 54.75/54.97 (assume @p4314 (forall (@list @t5451 @t14 @t52 @t54) (=> @t863 (= (tptp.hBOOL (tptp.hAPP @t3631 (tptp.hAPP @t5484 (tptp.c_List_Oremove1 @t14 @t52 @t5451)))) @t5549)))) % 54.75/54.97 (assume @p4315 (forall @t5551 (= (tptp.c_List_Oremove1 @t289 @t288 (tptp.c_List_Oremove1 @t289 @t367 @t5550)) (tptp.c_List_Oremove1 @t289 @t367 (tptp.c_List_Oremove1 @t289 @t288 @t5550))))) % 54.75/54.97 (assume @p4316 (forall @t5556 (=> @t5555 (tptp.hBOOL (tptp.hAPP @t5554 @t5553))))) % 54.75/54.97 (assume @p4317 (forall @t3495 (=> @t704 (=> @t3415 (= @t5558 (tptp.c_List_Oremove1 @t14 @t16 @t5557)))))) % 54.75/54.97 (assume @p4318 (forall (@list @t2 @t420 @t5451 @t16 @t14) (and (=> @t5547 (= @t5561 (tptp.hAPP @t421 @t615))) (=> @t5548 (= @t5561 @t425))))) % 54.75/54.97 (assume @p4319 (forall @t5567 (=> @t5555 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5566) @t5565))))) % 54.75/54.97 (assume @p4320 (forall (@list @t5552 @t14 @t5562 @t289) (=> (tptp.hBOOL (tptp.hAPP @t5554 @t5562)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct @t5568) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t14 @t289) @t5552) @t5562)))))) % 54.75/54.97 (assume @p4321 (forall @t5452 (= @t5570 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t14 @t3790) @t4191) @t5451)))) % 54.75/54.97 (assume @p4322 (forall (@list @t5571 @t420 @t14) (= (tptp.hAPP (tptp.hAPP @t5559 @t5574) @t5573) @t5571))) % 54.75/54.97 (assume @p4323 (forall (@list @t5453 @t1 @t2443 @t5451 @t2 @t14 @t579 @t420) (= (tptp.hAPP @t5578 (tptp.hAPP (tptp.hAPP @t5577 @t5451) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2443 @t579) @t1) @t5453))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4789 @t14) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t420 @t2443 @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5575 (tptp.tc_fun @t2443 @t14) @t420) (tptp.hAPP (tptp.c_COMBB @t2442 @t14 @t2443) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t5576 @t5575) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3738 (tptp.tc_fun @t5576 @t5575) @t420) (tptp.c_COMBB @t579 @t2442 @t2443)) @t2431)) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t420 @t2443) @t5451) @t5453))))) % 54.75/54.97 (assume @p4324 (forall (@list @t5453 @t5451 @t1 @t2443 @t2 @t14 @t579 @t420) (= (tptp.hAPP @t5578 (tptp.hAPP (tptp.hAPP @t5577 (tptp.hAPP @t5579 @t5451)) @t5453)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4799 @t14) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t2443 @t579 @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3738 @t2873 @t2443) (tptp.hAPP (tptp.c_COMBB @t2442 @t14 @t579) @t2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t420 @t3738 @t2443) @t2431) @t1)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t2443 @t579) @t5451) @t5453))))) % 54.75/54.97 (assume @p4325 (forall @t5584 (=> @t5583 (not (=> @t5547 (not @t5580)))))) % 54.75/54.97 (assume @p4326 (forall @t5584 (=> @t5583 @t5580))) % 54.75/54.97 (assume @p4327 (forall @t5584 (=> @t5583 @t5547))) % 54.75/54.97 (assume @p4328 (forall (@list @t5451 @t52 @t54 @t14) (= (tptp.hBOOL (tptp.hAPP @t4205 (tptp.hAPP @t5585 @t5570))) (and @t5549 @t767)))) % 54.75/54.97 (assume @p4329 (forall (@list @t5453 @t2 @t579 @t5451 @t420 @t14) (= (tptp.hAPP @t5560 (tptp.hAPP @t5466 @t5453)) (tptp.hAPP @t5481 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t14 @t579) @t5451) @t5453))))) % 54.75/54.97 (assume @p4330 (forall (@list @t5453 @t5451 @t2 @t579 @t420 @t14) (= (tptp.hAPP @t5586 @t5453) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t4986 @t2437) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t579 @t420 @t2437) @t4711)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t579 @t420) @t5451) @t5453))))) % 54.75/54.97 (assume @p4331 (forall (@list @t5453 @t1 @t2443 @t5451 @t2 @t579 @t420 @t14) (= (tptp.hAPP @t5586 (tptp.hAPP @t5579 @t5453)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t2685 @t2437) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t579 @t2443 @t2437) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t579 @t2683 @t5587) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2439 (tptp.tc_fun @t2683 @t5587) @t579) (tptp.c_COMBB @t420 @t2437 @t2443)) @t4711)) @t1))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip @t579 @t2443) @t5451) @t5453))))) % 54.75/54.97 (assume @p4332 (forall @t3495 (=> @t704 (=> @t3415 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t14 @t3404) (tptp.hAPP @t5589 @t5558)))))) % 54.75/54.97 (assume @p4333 (forall (@list @t57 @t659 @t16 @t5571 @t5451 @t420 @t5453 @t14) (=> @t5600 (=> @t5598 (=> (not (tptp.hBOOL (tptp.hAPP @t3643 @t5487))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4071 @t5592) @t16) @t4083) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4071 @t5591) @t16) @t5594)) @t5593)))))) % 54.75/54.97 (assume @p4334 (forall (@list @t5562 @t5552 @t14 @t289) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist @t5566)) @t5565) (tptp.hAPP @t5605 @t5601)))) % 54.75/54.97 (assume @p4335 (forall @t5611 (=> @t5610 (= (tptp.hAPP @t5484 @t5609) @t5606)))) % 54.75/54.97 (assume @p4336 (forall (@list @t5451 @t659 @t16 @t14) (=> @t704 (= (tptp.hAPP @t5589 (tptp.hAPP @t5613 @t5451)) (tptp.hAPP @t5613 @t5612))))) % 54.75/54.97 (assume @p4337 (forall (@list @t5451 @t420 @t659 @t16 @t2 @t14) (=> @t704 (=> @t4566 (= (tptp.hAPP @t5615 @t5617) (tptp.hAPP @t5616 (tptp.hAPP @t5615 @t5451))))))) % 54.75/54.97 (assume @p4338 (forall @t5611 (=> @t5610 (= (tptp.hAPP @t5597 @t5609) @t5619)))) % 54.75/54.97 (assume @p4339 (forall @t5622 (=> (not (= @t5604 @t5621)) (not @t5620)))) % 54.75/54.97 (assume @p4340 (forall @t1799 (=> @t704 (tptp.c_Finite__Set_Ofun__left__comm @t14 @t5039 @t5588)))) % 54.75/54.97 (assume @p4341 (forall (@list @t102 @t2020 @t5453 @t5451 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5626 @t5044)) (and (= @t5618 @t102) (= @t5599 @t102))))) % 54.75/54.97 (assume @p4342 (forall (@list @t5453 @t1 @t579 @t5451 @t2 @t14 @t420) (=> (= @t5458 (tptp.hAPP (tptp.hAPP @t5470 @t1) @t5453)) (= @t5596 (tptp.hAPP (tptp.c_Nat_Osize__class_Osize @t5467) @t5453))))) % 54.75/54.97 (assume @p4343 (forall @t5489 (= (tptp.hAPP @t5597 @t5458) @t5596))) % 54.75/54.97 (assume @p4344 (forall @t5546 (=> @t704 (= (tptp.c_List_Oremove1 @t14 @t16 @t5612) @t5451)))) % 54.75/54.97 (assume @p4345 (forall @t5452 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t5627) @t5618)))) % 54.75/54.97 (assume @p4346 (forall @t5452 (=> @t5544 @t5628))) % 54.75/54.97 (assume @p4347 (forall @t5452 (=> @t5628 @t5544))) % 54.75/54.97 (assume @p4348 (forall (@list @t5571 @t5451 @t420 @t5453 @t14) (=> @t5600 (=> @t5598 (=> @t5529 (=> @t5593 @t5629)))))) % 54.75/54.97 (assume @p4349 (forall @t5632 (=> @t5631 (= (tptp.hAPP @t5524 @t5581) @t5451)))) % 54.75/54.97 (assume @p4350 (forall @t5632 (=> @t5631 (= (tptp.hAPP @t5572 @t5581) @t5453)))) % 54.75/54.97 (assume @p4351 (forall @t5611 (=> @t5610 (= (tptp.hBOOL (tptp.hAPP @t5525 @t5609)) @t5633)))) % 54.75/54.97 (assume @p4352 (forall @t5546 (=> @t5547 @t5634))) % 54.75/54.97 (assume @p4353 (forall (@list @t5571 @t5453 @t420 @t5451 @t14) (=> @t5631 (= (= @t5581 @t5571) (and (= @t5574 @t5451) (= @t5573 @t5453)))))) % 54.75/54.97 (assume @p4354 (forall @t2023 (= @t5038 (tptp.hAPP @t5654 (tptp.hAPP @t5653 (tptp.hAPP (tptp.hAPP @t5652 (tptp.hAPP @t5651 (tptp.hAPP (tptp.hAPP @t5648 (tptp.hAPP @t5645 tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP @t5643 (tptp.hAPP @t5642 (tptp.hAPP (tptp.hAPP @t5638 @t448) @t5597))) @t5597)))) (tptp.hAPP (tptp.hAPP @t5652 (tptp.hAPP @t5651 (tptp.hAPP (tptp.hAPP @t5648 @t5646) @t5644))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5043 @t5433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5636 (tptp.tc_fun @t5043 @t5433) @t5039) (tptp.c_COMBC @t5039 @t5043 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5637 @t5636 @t5039) (tptp.hAPP (tptp.c_COMBB @t5042 @t5635 @t5039) @t5625)) @t5623))) @t5040)))))))) % 54.75/54.97 (assume @p4355 (forall @t2023 (= @t5038 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t5655 @t5039) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t5039 tptp.c_Wellfounded_Oless__than @t5040)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5039 @t5039 @t5655) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t5039 @t5655) @t5039) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t5039)) @t5597)) (tptp.c_COMBI @t5039)))))) % 54.75/54.97 (assume @p4356 (forall @t5663 (=> @t3415 (tptp.hBOOL (tptp.hAPP @t5499 (tptp.hAPP @t5662 (tptp.hAPP @t5661 (tptp.hAPP @t5657 @t102)))))))) % 54.75/54.97 (assume @p4357 (forall @t5666 (= @t5454 (and @t5665 (forall @t8 (=> @t5664 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4195 tptp.c_fequal) @t4)))))))) % 54.75/54.97 (assume @p4358 (forall @t5669 (=> @t5631 (= (= @t5668 @t425) @t5548)))) % 54.75/54.97 (assume @p4359 (forall @t5669 (=> @t5631 (= @t5547 (exists @t260 (= @t5668 (tptp.hAPP @t421 @t257))))))) % 54.75/54.97 (assume @p4360 (forall @t5546 (and (=> @t5547 (= @t5670 (tptp.hAPP (tptp.hAPP @t1445 @t5618) @t821))) (=> @t5548 (= @t5670 @t5618))))) % 54.75/54.97 (assume @p4361 (forall @t5632 (=> @t5631 (=> @t5544 (= (tptp.c_Map_Odom @t14 @t420 @t5667) @t5485))))) % 54.75/54.97 (assume @p4362 (forall @t5663 (=> @t3415 (tptp.hBOOL (tptp.hAPP @t5499 (tptp.hAPP @t5662 (tptp.hAPP @t5661 (tptp.hAPP (tptp.hAPP @t5656 (tptp.hAPP (tptp.hAPP @t5638 @t963) @t5597)) @t102)))))))) % 54.75/54.97 (assume @p4363 (forall @t2584 (and (=> @t3415 (= @t5671 (tptp.hAPP @t5597 @t5672))) (=> @t3416 (= @t5671 @t19))))) % 54.75/54.97 (assume @p4364 (forall @t5675 (= @t5674 (and @t5665 (forall @t8 (=> @t5664 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4195 @t4683) @t4)))))))) % 54.75/54.97 (assume @p4365 (forall @t5677 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5624 @t5451)) @t5676)))) % 54.75/54.97 (assume @p4366 (forall @t5675 (=> @t5674 @t5665))) % 54.75/54.97 (assume @p4367 (forall (@list @t5571 @t2020 @t5453 @t5451 @t14) (=> @t5679 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5678 @t5571)) @t5676)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5624 @t5571)) @t5676)))))) % 54.75/54.97 (assume @p4368 (forall @t4199 (=> @t4198 (tptp.hBOOL (tptp.hAPP @t5681 (tptp.c_List_Olistrel @t14 @t98)))))) % 54.75/54.97 (assume @p4369 (forall (@list @t4086 @t16 @t2020 @t14) (= (tptp.c_List_Olistrelp @t14 @t4683 @t16 @t4086) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5682 @t4086)) @t5673))))) % 54.75/54.97 (assume @p4370 (forall @t5045 (= (tptp.hAPP @t5041 @t436) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t5043) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod @t5687 @t5687) @t5042 (tptp.c_Product__Type_Omap__pair @t5687 @t5039 @t5687 @t5039 @t5686 @t5686)) (tptp.c_Wellfounded_Olex__prod @t14 @t5039 @t2020 @t5044))) (tptp.hAPP @t5654 (tptp.hAPP @t5653 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5433 @t5433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2237 @t5650 @t5039) @t5684) (tptp.hAPP @t5646 @t5683))) @t5683))))))) % 54.75/54.97 (assume @p4371 (forall (@list @t288 @t5562 @t5552 @t289) (=> (tptp.hBOOL (tptp.hAPP @t5691 @t5621)) (not (= @t5552 @t5690))))) % 54.75/54.97 (assume @p4372 (forall (@list @t5451 @t16 @t659 @t14) (=> (tptp.hBOOL (tptp.hAPP @t3697 @t5694)) (or @t3409 @t5507)))) % 54.75/54.97 (assume @p4373 (forall (@list @t5562 @t367 @t5552 @t288 @t14 @t289) (= (tptp.hAPP (tptp.hAPP @t5563 @t5695) (tptp.hAPP (tptp.hAPP @t5685 @t367) @t5562)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5566) @t2549) @t5565)))) % 54.75/54.97 (assume @p4374 (forall @t5545 (tptp.hBOOL (tptp.hAPP @t5696 @t5694)))) % 54.75/54.97 (assume @p4375 (forall @t5546 (= @t5694 @t5606))) % 54.75/54.97 (assume @p4376 (forall (@list @t54 @t5451 @t16 @t2 @t14 @t420) (= (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5700 @t54) (tptp.hAPP @t615 @t5697)))) % 54.75/54.97 (assume @p4377 (forall (@list @t5453 @t5451 @t14 @t659 @t16 @t2020) (=> (tptp.hBOOL (tptp.hAPP @t4939 @t659)) (=> (tptp.c_List_Olistrelp @t14 @t2020 @t5451 @t5453) (tptp.c_List_Olistrelp @t14 @t2020 @t5693 @t5702))))) % 54.75/54.97 (assume @p4378 (forall (@list @t109 @t97 @t96 @t94 @t2020 @t14) (= (tptp.c_List_Olistrelp @t14 @t2020 (tptp.hAPP (tptp.hAPP @t5685 @t94) @t96) (tptp.hAPP @t5703 @t109)) (and (tptp.hBOOL (tptp.hAPP @t5029 @t97)) (tptp.c_List_Olistrelp @t14 @t2020 @t96 @t109))))) % 54.75/54.97 (assume @p4379 (forall (@list @t5704 @t300 @t5469 @t54 @t14) (= (= @t5706 (tptp.hAPP (tptp.hAPP @t5685 @t300) @t5704)) (and @t301 (= @t5469 @t5704))))) % 54.75/54.97 (assume @p4380 (forall @t5707 (not (= @t5695 @t5552)))) % 54.75/54.97 (assume @p4381 (forall @t5708 (not (= @t5552 @t5695)))) % 54.75/54.97 (assume @p4382 (forall @t5611 (= (tptp.hAPP @t5456 @t5700) (tptp.hAPP (tptp.hAPP @t5685 @t615) @t5458)))) % 54.75/54.97 (assume @p4383 (forall (@list @t5552 @t289 @t367 @t288) (and (=> @t399 (= @t5711 @t5552)) (=> @t472 (= @t5711 (tptp.hAPP @t5709 @t5553)))))) % 54.75/54.97 (assume @p4384 (forall (@list @t5453 @t420 @t659 @t16 @t2 @t14) (=> @t704 (and (=> @t2938 (= @t5714 (tptp.hAPP @t5699 @t5713))) (=> (not @t2938) (= @t5714 (tptp.hAPP @t5712 (tptp.hAPP @t5616 @t5453)))))))) % 54.75/54.97 (assume @p4385 (forall @t5546 (= (tptp.hBOOL (tptp.hAPP @t5525 @t5693)) @t5633))) % 54.75/54.97 (assume @p4386 (forall (@list @t5715 @t953 @t420 @t14 @t359 @t531) (and (=> @t5718 (= @t5717 (tptp.hAPP @t421 @t953))) (=> (not @t5718) (= @t5717 (tptp.hAPP (tptp.c_Map_Omap__of @t14 @t420 @t5715) @t359)))))) % 54.75/54.97 (assume @p4387 (forall (@list @t5719 @t181 @t289) (= (tptp.hAPP @t5603 (tptp.hAPP @t5720 @t5719)) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t5603 @t5719)) @t315)))) % 54.75/54.97 (assume @p4388 (forall @t5723 (=> @t4356 (=> @t5674 (tptp.hBOOL (tptp.hAPP @t5722 @t5673)))))) % 54.75/54.97 (assume @p4389 (forall (@list @t5408 @t1601 @t420 @t14) (= (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP (tptp.hAPP @t5716 @t1601) @t5408)) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t5415) @t2558) (tptp.hAPP @t421 @t2592))))) % 54.75/54.97 (assume @p4390 (forall @t5724 (= (tptp.hBOOL (tptp.hAPP @t5722 @t5040)) (or (and @t4356 @t5665) (and @t678 (tptp.hBOOL (tptp.hAPP @t5626 @t5040))))))) % 54.75/54.97 (assume @p4391 (forall (@list @t5451 @t16 @t2020 @t14) (= (tptp.hAPP @t5727 (tptp.hAPP (tptp.hAPP @t5726 @t5693) @t5725)) (tptp.c_List_Oset__Cons @t14 @t4346 (tptp.hAPP @t5727 (tptp.hAPP (tptp.hAPP @t5726 @t5451) @t5725)))))) % 54.75/54.97 (assume @p4392 (forall (@list @t4130 @t1314 @t14) (= (tptp.c_List_Oset__Cons @t14 @t1314 @t4130) (tptp.hAPP @t5662 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2359 tptp.tc_HOL_Obool @t5039) @t4953) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5731 @t2359 @t5039) (tptp.hAPP (tptp.c_COMBB @t5433 tptp.tc_HOL_Obool @t14) (tptp.c_HOL_OEx @t5039))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5731 @t5731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5734 (tptp.tc_fun @t5731 @t5731) @t5039) (tptp.c_COMBS @t14 @t5433 @t5433)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5733 @t5734 @t5039) (tptp.hAPP (tptp.c_COMBB @t5647 @t5650 @t14) @t5649)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5731 @t5733 @t5039) (tptp.hAPP (tptp.c_COMBB @t5433 @t5647 @t14) @t5646)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5732 @t5731) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5730 (tptp.tc_fun @t5732 @t5731) @t5039) (tptp.c_COMBB @t5729 @t5433 @t14)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5433 @t5730 @t5039) (tptp.c_COMBB @t5039 tptp.tc_HOL_Obool @t5039)) tptp.c_fequal))) @t5685))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5433 @t5433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2237 @t5650 @t14) @t5684) @t4662)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5433 tptp.tc_HOL_Obool) @t5728) @t4130))))))))) % 54.75/54.97 (assume @p4393 (forall (@list @t2020 @t5451 @t5453 @t659 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t5702) @t5451)) @t5673)) (not (forall (@list @t257 @t5735) (=> (= @t5451 (tptp.hAPP @t5736 @t5735)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t4515 @t257)) @t2020)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5678 @t5735)) @t5673)))))))))) % 54.75/54.97 (assume @p4394 (forall (@list @t2020 @t5453 @t659 @t5451 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5624 @t5702)) @t5673)) (not (forall (@list @t4 @t5737) (=> (= @t5451 (tptp.hAPP @t5738 @t5737)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t3797 @t659)) @t2020)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t5737) @t5453)) @t5673)))))))))) % 54.75/54.97 (assume @p4395 (forall @t5743 (= (tptp.hAPP @t5597 @t5742) (tptp.hAPP @t3129 (tptp.hAPP @t4844 @t5741))))) % 54.75/54.97 (assume @p4396 (forall (@list @t5552 @t288 @t289 @t510) (and (=> @t5746 (= @t5745 (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral @t289) @t288))) (=> (not @t5746) (= @t5745 (tptp.hAPP (tptp.c_Random_Opick @t289 @t5552) (tptp.hAPP @t2146 @t5744))))))) % 54.75/54.97 (assume @p4397 (forall @t5743 (=> @t5544 (tptp.hBOOL (tptp.hAPP @t5525 @t5742))))) % 54.75/54.97 (assume @p4398 (forall @t5749 (=> @t5748 @t5547))) % 54.75/54.97 (assume @p4399 (forall @t5749 (=> @t5548 (not @t5748)))) % 54.75/54.97 (assume @p4400 (forall @t5743 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5747) @t5485)))) % 54.75/54.97 (assume @p4401 (forall @t5546 (= (tptp.c_Random_Oselect__weight @t14 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t5752) (tptp.hAPP (tptp.hAPP @t5751 @t2015) @t16)) @t5451)) @t5750))) % 54.75/54.97 (assume @p4402 (forall @t5756 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2153 @t434) @t5755)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t5754 @t434)) @t5753))))) % 54.75/54.97 (assume @p4403 (forall @t5707 (=> @t387 (= (tptp.hAPP @t5757 @t5695) (tptp.hAPP @t1522 @t5758))))) % 54.75/54.97 (assume @p4404 (forall @t5762 (=> @t1465 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 @t2894) @t5451)) (tptp.hAPP (tptp.hAPP @t1462 @t5761) @t5760))))) % 54.75/54.97 (assume @p4405 (forall (@list @t5451 @t2 @t51 @t420 @t14) (=> @t2889 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 (tptp.hAPP (tptp.hAPP @t2785 @t893) @t2)) @t5451)) (tptp.hAPP @t893 @t5761))))) % 54.75/54.97 (assume @p4406 (forall (@list @t5451 @t51 @t2 @t420 @t14) (=> @t2889 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 (tptp.hAPP @t2891 @t51)) @t5451)) (tptp.hAPP (tptp.hAPP @t761 @t5761) @t51))))) % 54.75/54.97 (assume @p4407 (forall @t5762 (=> @t2866 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 @t2885) @t5451)) (tptp.hAPP (tptp.hAPP @t329 @t5761) @t5760))))) % 54.75/54.97 (assume @p4408 (forall @t5527 (=> @t5763 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 @t2879) @t5451)) @t15)))) % 54.75/54.97 (assume @p4409 (forall @t5452 (=> @t1633 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 (tptp.hAPP @t1631 @t5764)) (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5449 @t1631) @t5451))))))) % 54.75/54.97 (assume @p4410 (forall @t5489 (=> @t1465 (= (tptp.hAPP @t758 @t5761) (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 @t14 @t420 @t758) @t2)) @t5451)))))) % 54.75/54.97 (assume @p4411 (forall @t5452 (=> @t2866 (=> @t5544 (= @t5764 (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t14 @t14) @t2207) @t5485)))))) % 54.75/54.97 (assume @p4412 (forall @t5452 (= @t5750 (tptp.hAPP (tptp.hAPP @t5767 (tptp.c_Random_Orange @t5755)) (tptp.hAPP @t5766 @t5754))))) % 54.75/54.97 (assume @p4413 (forall (@list @t2 @t5451 @t14 @t420) (=> @t3092 (=> @t5544 (= @t5769 (tptp.hAPP @t3090 @t5485)))))) % 54.75/54.97 (assume @p4414 (forall (@list @t1531 @t434 @t2 @t14) (=> @t2866 (= (tptp.hAPP @t3123 @t5538) (tptp.hAPP @t5759 (tptp.hAPP @t5770 @t5537)))))) % 54.75/54.97 (assume @p4415 (forall (@list @t1525 @t349 @t2 @t14) (=> @t2866 (= (tptp.hAPP @t5759 (tptp.hAPP @t5770 @t5771)) (tptp.hAPP @t3123 (tptp.hAPP @t5536 @t5771)))))) % 54.75/54.97 (assume @p4416 (forall (@list @t5451 @t2020 @t420 @t14) (=> @t437 (= (tptp.hAPP @t5759 (tptp.hAPP (tptp.hAPP @t5455 (tptp.hAPP @t2557 @t2020)) @t5451)) (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP @t617 @t5596)) @t2020))))) % 54.75/54.97 (assume @p4417 (forall (@list @t2 @t5451 @t16 @t14 @t420) (=> @t3092 (=> @t5547 (= @t5769 (tptp.hAPP (tptp.hAPP @t3430 @t615) (tptp.hAPP @t5768 (tptp.hAPP @t5436 @t5542)))))))) % 54.75/54.97 (assume @p4418 (forall @t5773 (=> (tptp.hBOOL (tptp.hAPP @t2607 @t5755)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t5772 (tptp.hAPP @t5750 @t98))) @t5753))))) % 54.75/54.97 (assume @p4419 (forall @t3420 (=> @t3092 (and (=> @t3415 (= @t5774 (tptp.hAPP @t5768 (tptp.hAPP @t5436 @t5672)))) (=> @t3416 (= @t5774 @t3413)))))) % 54.75/54.97 (assume @p4420 (forall @t3106 (=> (tptp.hBOOL (tptp.hAPP @t3351 (tptp.hAPP (tptp.hAPP @t2179 @t434) @t1531))) (and (=> @t5776 (= @t5537 (tptp.hAPP (tptp.hAPP @t5777 @t434) @t5540))) (=> (not @t5776) (= @t5537 @t5775)))))) % 54.75/54.97 (assume @p4421 (forall @t5677 (=> (tptp.hBOOL (tptp.hAPP @t5780 @t5673)) @t5779))) % 54.75/54.97 (assume @p4422 (forall @t5677 (=> (tptp.hBOOL (tptp.hAPP @t5782 @t5673)) @t5779))) % 54.75/54.97 (assume @p4423 (forall (@list @t5783) (= (= (tptp.hAPP @t5787 @t5783) @t19) @t5786))) % 54.75/54.97 (assume @p4424 (forall @t305 (=> @t387 (= (tptp.hAPP @t5757 @t5788) @t384)))) % 54.75/54.97 (assume @p4425 (forall @t5489 (= (= @t5778 @t5458) @t5790))) % 54.75/54.97 (assume @p4426 (forall @t3526 (= (tptp.hAPP @t5456 @t5789) @t5778))) % 54.75/54.97 (assume @p4427 (forall @t5791 (= (= @t5458 @t5778) @t5790))) % 54.75/54.97 (assume @p4428 (forall @t2023 (tptp.c_List_Olistrelp @t14 @t2020 @t5778 @t5778))) % 54.75/54.97 (assume @p4429 (forall (@list @t5451 @t54 @t2 @t14 @t420) (=> @t5610 (not (= (tptp.hAPP @t5792 @t5451) @t5778))))) % 54.75/54.97 (assume @p4430 (forall @t305 (tptp.hBOOL (tptp.hAPP @t5554 @t5788)))) % 54.75/54.97 (assume @p4431 (forall @t291 (= (tptp.c_List_Oremove1 @t289 @t288 @t5788) @t5788))) % 54.75/54.97 (assume @p4432 (forall (@list @t54 @t2 @t14 @t420) (= (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5789 @t54) @t54))) % 54.75/54.97 (assume @p4433 (forall @t544 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t632 @t512) @t510)) @t5793))) % 54.75/54.97 (assume @p4434 (forall (@list @t5552 @t14 @t289) (= (tptp.hAPP @t5564 @t5778) @t5794))) % 54.75/54.97 (assume @p4435 (forall (@list @t5562 @t14 @t289) (= (tptp.hAPP (tptp.hAPP @t5563 @t5788) @t5562) @t5794))) % 54.75/54.97 (assume @p4436 (forall @t5452 (= (= @t5618 @t19) @t5779))) % 54.75/54.97 (assume @p4437 (forall @t305 (= (tptp.hAPP @t5603 @t5788) @t19))) % 54.75/54.97 (assume @p4438 (forall @t1799 (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set @t14 @t3514) @t5778)))) % 54.75/54.97 (assume @p4439 (forall @t1799 (= (tptp.hAPP @t5484 @t5778) @t3514))) % 54.75/54.97 (assume @p4440 (forall @t5452 (= (= @t3514 @t5485) @t5779))) % 54.75/54.97 (assume @p4441 (forall @t5452 (= (= @t5485 @t3514) @t5779))) % 54.75/54.97 (assume @p4442 (forall @t5797 (not (= @t5796 @t5788)))) % 54.75/54.97 (assume @p4443 (forall @t5797 (not (= @t5788 @t5796)))) % 54.75/54.97 (assume @p4444 (forall @t5502 (=> @t5610 (= (tptp.hAPP @t5608 @t5778) @t5798)))) % 54.75/54.97 (assume @p4445 (forall @t5452 (= (tptp.c_List_Osublist @t14 @t5451 @t3498) @t5778))) % 54.75/54.97 (assume @p4446 (forall @t2584 (= (tptp.c_List_Osublist @t14 @t5778 @t1314) @t5778))) % 54.75/54.97 (assume @p4447 (forall @t5452 (= @t5634 @t5799))) % 54.75/54.97 (assume @p4448 (forall @t2023 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 @t5800) @t5673)))) % 54.75/54.97 (assume @p4449 (forall (@list @t2020 @t5453 @t14) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5781 @t5453)) @t5040))))) % 54.75/54.97 (assume @p4450 (forall @t5677 (not (tptp.hBOOL (tptp.hAPP @t5780 @t5040))))) % 54.75/54.97 (assume @p4451 (forall @t545 (and (=> @t1000 (= @t5539 (tptp.hAPP (tptp.hAPP @t5777 @t510) (tptp.c_List_Oupto (tptp.hAPP @t696 @t734) @t512)))) (=> (not @t1000) @t5793)))) % 54.75/54.97 (assume @p4452 (forall (@list @t16 @t14 @t1314) (and (=> @t5803 (= @t5801 @t5798)) (=> (not @t5803) (= @t5801 @t5778))))) % 54.75/54.97 (assume @p4453 (forall @t372 (and (=> @t5806 (= @t5805 (tptp.hAPP (tptp.hAPP @t5777 @t5804) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP @t630 @t5804) @t734) @t1980)))) (=> (not @t5806) (= @t5805 @t5775))))) % 54.75/54.97 (assume @p4454 (forall @t2023 (= (tptp.hAPP @t5727 @t5807) @t5807))) % 54.75/54.97 (assume @p4455 (forall @t2584 (= (tptp.c_List_Oset__Cons @t14 @t1314 @t5807) (tptp.hAPP (tptp.c_Set_Oimage @t14 @t5039 @t5809) @t1314)))) % 54.75/54.97 (assume @p4456 (forall @t5812 (=> @t5799 (= (tptp.c_Random_Oselect__weight @t14 @t5811) @t5810)))) % 54.75/54.97 (assume @p4457 (forall (@list @t98 @t14 @t5451) (=> @t5799 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 (tptp.hAPP @t5772 (tptp.hAPP @t5810 @t98))) @t5485))))) % 54.75/54.97 (assume @p4458 (forall (@list @t4981 @t14 @t289) (= (tptp.hAPP (tptp.c_Map_Omap__of @t289 @t14 @t5794) @t4981) @t285))) % 54.75/54.97 (assume @p4459 (forall (@list @t359 @t289 @t14) (= (tptp.hAPP (tptp.c_Map_Omap__of @t14 @t289 (tptp.c_List_Olist_ONil @t5568)) @t359) @t296))) % 54.75/54.97 (assume @p4460 (forall @t2679 (and (=> @t2677 (= @t5819 @t5818)) (=> @t2678 (= @t5819 (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5814 @t2437 @t5818 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t5814) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5815 @t5815) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5817 (tptp.tc_fun @t5815 @t5815) @t14) (tptp.c_COMBB @t5814 @t5814 @t420)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5816 @t5817 @t14) (tptp.c_Product__Type_Oprod_Oprod__case @t5039 @t420 @t5814)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5729 @t5816 @t14) (tptp.hAPP (tptp.c_COMBB @t5039 @t5815 @t5039) @t5813)) @t5685)))) (tptp.c_Lazy__Sequence_Oanamorph @t420 @t14 @t2 @t2674)))) @t615)))))) % 54.75/54.97 (assume @p4461 (forall @t1799 (= (tptp.c_List_Olistset @t14 (tptp.c_List_Olist_ONil @t2359)) @t5807))) % 54.75/54.97 (assume @p4462 (forall (@list @t5820 @t1314 @t14) (= (tptp.c_List_Olistset @t14 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons @t2359) @t1314) @t5820)) (tptp.c_List_Oset__Cons @t14 @t1314 (tptp.c_List_Olistset @t14 @t5820))))) % 54.75/54.97 (assume @p4463 (forall (@list @t5453 @t5451 @t16 @t420 @t14) (= (tptp.hAPP (tptp.hAPP @t5559 @t5693) @t5453) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5821 @t420 @t5824 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t5823 @t5823) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5822 (tptp.tc_fun @t5823 @t5823) @t420) (tptp.c_COMBB @t5821 @t5821 @t5437)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2437 @t5822 @t420) @t5716) @t2421))) @t5560)) @t5453)))) % 54.75/54.97 (assume @p4464 (forall (@list @t5453 @t659 @t5451 @t420 @t14) (= (tptp.hAPP @t5560 @t5713) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5821 @t14 @t5824 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t5825 @t5825) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5822 (tptp.tc_fun @t5825 @t5825) @t14) (tptp.c_COMBB @t5821 @t5821 @t5039)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2437 @t5822 @t14) @t5716) (tptp.hAPP @t4749 @t659)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5437 @t5821) @t5559) @t5453))) @t5451)))) % 54.75/54.97 (assume @p4465 (forall (@list @t5469 @t54 @t48 @t49 @t420 @t14) (= (tptp.hAPP @t5826 (tptp.hAPP (tptp.hAPP @t5698 @t54) @t5469)) (tptp.hAPP @t419 @t5469)))) % 54.75/54.97 (assume @p4466 (forall @t426 (= (tptp.hAPP @t5826 @t5789) @t49))) % 54.75/54.97 (assume @p4467 (forall @t5452 (= @t5810 (tptp.hAPP (tptp.hAPP @t5767 (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t5618))) (tptp.hAPP @t5766 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t14 tptp.tc_Code__Numeral_Ocode__numeral) @t5828) tptp.c_Code__Numeral_Onat__of)))))) % 54.75/54.97 (assume @p4468 (forall (@list @t5451 @t14 @t1525) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t1525) @t5618)) (= (tptp.hAPP (tptp.c_Random_Opick @t14 @t5811) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat @t1525)) (tptp.hAPP @t5828 @t1525))))) % 54.75/54.97 (assume @p4469 (forall (@list @t102 @t5451 @t16 @t14) (= (tptp.hAPP (tptp.hAPP @t5827 @t5693) @t102) (tptp.c_Nat_Onat_Onat__case @t14 @t16 @t5828 @t102)))) % 54.75/54.97 (assume @p4470 (forall @t5707 (= (tptp.hAPP @t5830 @t19) @t288))) % 54.75/54.97 (assume @p4471 (forall (@list @t76 @t5552 @t288 @t289) (= (tptp.hAPP @t5830 @t254) @t5832))) % 54.75/54.97 (assume @p4472 (forall (@list @t2 @t420 @t5451 @t14 @t102) (=> @t5835 (= (tptp.hAPP (tptp.hAPP @t5834 @t5462) @t102) (tptp.hAPP @t2 @t5833))))) % 54.75/54.97 (assume @p4473 (forall @t5840 (= @t5839 (forall @t1235 (=> @t5837 (tptp.hBOOL (tptp.hAPP @t87 @t5836))))))) % 54.75/54.97 (assume @p4474 (forall @t5452 (= @t5544 (forall @t1235 (=> @t5837 (forall @t569 (=> @t5842 (=> (not (= @t1231 @t567)) (not (= @t5836 @t5841)))))))))) % 54.75/54.97 (assume @p4475 (forall @t5846 (=> @t5544 (=> @t5845 (=> (tptp.hBOOL (tptp.hAPP @t5844 @t5618)) (= (= @t5843 (tptp.hAPP @t5828 @t1531)) (= @t434 @t1531))))))) % 54.75/54.97 (assume @p4476 (forall @t5666 (= @t5454 (and @t5665 (forall @t1235 (=> @t5837 (= @t5836 (tptp.hAPP @t5847 @t1231)))))))) % 54.75/54.97 (assume @p4477 (forall (@list @t5562 @t14 @t5552 @t289 @t510) (=> @t5849 (=> (tptp.hBOOL (tptp.hAPP @t515 @t5601)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth @t5566) @t5565) @t510) (tptp.hAPP (tptp.hAPP @t2425 @t5848) (tptp.hAPP (tptp.hAPP @t5827 @t5562) @t510))))))) % 54.75/54.97 (assume @p4478 (forall (@list @t5850 @t359) (=> @t5856 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t5853) @t5851))))) % 54.75/54.97 (assume @p4479 (forall @t5546 (= @t5547 (exists @t1235 (and @t5837 (= @t5836 @t16)))))) % 54.75/54.97 (assume @p4480 (forall (@list @t5451 @t14 @t102) (=> @t5835 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t5833) @t5485))))) % 54.75/54.97 (assume @p4481 (forall @t5858 (and (=> @t380 (= @t5857 @t288)) (=> @t505 (= @t5857 (tptp.hAPP @t5831 @t1590)))))) % 54.75/54.97 (assume @p4482 (forall @t5452 (= @t5485 (tptp.hAPP @t4854 (tptp.hAPP @t5863 (tptp.hAPP @t5861 @t5739)))))) % 54.75/54.97 (assume @p4483 (forall @t5866 (and (=> @t1812 (= @t5864 @t288)) (=> @t5865 (= @t5864 (tptp.hAPP @t5831 @t1606)))))) % 54.75/54.97 (assume @p4484 (forall @t5452 (=> @t2866 (= @t5764 (tptp.hAPP (tptp.hAPP @t2863 @t5828) (tptp.hAPP @t2984 @t5618)))))) % 54.75/54.97 (assume @p4485 (forall @t5743 (= @t5747 (tptp.hAPP @t4854 (tptp.hAPP @t5863 (tptp.hAPP @t5861 @t5741)))))) % 54.75/54.97 (assume @p4486 (forall @t5675 (= @t5674 (and @t5665 (forall @t177 (=> @t5868 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t5867 (tptp.hAPP @t5847 @t176))) @t2020)))))))) % 54.75/54.97 (assume @p4487 (forall @t5514 (= @t5582 (tptp.hAPP @t4889 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 tptp.tc_HOL_Obool @t2437) @t5862) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2437 @t2232 @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2930 @t2932 @t2437) @t2931) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t2232 @t2930 @t2437) @t2929) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t2437 @t5870 @t2232) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t3474 (tptp.tc_fun @t5870 @t2232) @t2437) (tptp.c_COMBB @t2437 tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t420 @t2437) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2439 tptp.tc_Nat_Onat) @t2400) @t5828)) @t5869))))) (tptp.hAPP @t4841 (tptp.hAPP (tptp.hAPP @t2497 @t5618) @t5630)))))))) % 54.75/54.97 (assume @p4488 (forall @t5873 (=> @t704 (=> (not @t5872) (= @t5871 @t5617))))) % 54.75/54.97 (assume @p4489 (forall (@list @t434 @t54 @t5451 @t14) (=> @t5544 (=> (not (tptp.hBOOL (tptp.hAPP @t3631 (tptp.hAPP @t5541 (tptp.hAPP (tptp.hAPP @t3392 @t5843) @t3514))))) (tptp.hBOOL (tptp.hAPP @t5525 (tptp.hAPP @t5875 @t54))))))) % 54.75/54.97 (assume @p4490 (forall @t5878 (= (tptp.hAPP @t5877 @t5848) @t5552))) % 54.75/54.97 (assume @p4491 (forall (@list @t288 @t5552 @t289 @t512 @t510) @t5884)) % 54.75/54.97 (assume @p4492 (forall (@list @t16 @t349 @t5451 @t14) (= (= (tptp.hAPP (tptp.hAPP @t5874 @t349) @t16) @t5778) @t5779))) % 54.75/54.97 (assume @p4493 (forall (@list @t953 @t510 @t289) (= (tptp.hAPP @t5885 @t953) @t5788))) % 54.75/54.97 (assume @p4494 (forall (@list @t367 @t510 @t289) (= (tptp.hAPP @t5885 @t367) @t5788))) % 54.75/54.97 (assume @p4495 (forall (@list @t367 @t5562 @t288 @t510 @t5552 @t14 @t289) (= (tptp.hAPP (tptp.hAPP @t5563 @t5880) (tptp.hAPP @t5887 @t367)) (tptp.hAPP @t5886 @t2549)))) % 54.75/54.97 (assume @p4496 (forall (@list @t5888 @t510 @t5562 @t5552 @t14 @t289) (= (tptp.hAPP @t5886 @t5888) (tptp.hAPP (tptp.hAPP @t5563 (tptp.hAPP @t5877 (tptp.hAPP @t2548 @t5888))) (tptp.hAPP @t5887 (tptp.hAPP @t2553 @t5888)))))) % 54.75/54.97 (assume @p4497 (forall @t5889 (= (tptp.hAPP @t5603 @t5880) @t5604))) % 54.75/54.97 (assume @p4498 (forall (@list @t5890 @t288 @t5552 @t289 @t5891 @t510) (=> (not (= @t510 @t5891)) (= (tptp.hAPP (tptp.hAPP @t5892 @t5891) @t5890) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t289 (tptp.hAPP (tptp.hAPP @t5876 @t5891) @t5890)) @t510) @t288))))) % 54.75/54.97 (assume @p4499 (forall (@list @t367 @t288 @t510 @t5552 @t289) (= (tptp.hAPP (tptp.hAPP @t5892 @t510) @t367) @t5893))) % 54.75/54.97 (assume @p4500 (forall (@list @t16 @t2 @t5451 @t14 @t420) (=> @t5610 (=> @t5544 (tptp.hBOOL (tptp.hAPP @t5525 (tptp.c_List_Olinorder__class_Oinsort__insert__key @t14 @t420 @t2 @t16 @t5451))))))) % 54.75/54.97 (assume @p4501 (forall @t5889 (=> (tptp.hBOOL (tptp.hAPP @t5691 @t510)) (= @t5880 @t5552)))) % 54.75/54.97 (assume @p4502 (forall (@list @t659 @t349 @t5451 @t2 @t14 @t420) (= (tptp.hAPP @t5456 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t420 @t5451) @t349) @t659)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t14 @t5458) @t349) @t2420)))) % 54.75/54.97 (assume @p4503 (forall (@list @t367 @t510 @t5552 @t288 @t289) (= (tptp.hAPP (tptp.hAPP @t5894 @t511) @t367) (tptp.hAPP @t5689 @t5893)))) % 54.75/54.97 (assume @p4504 (forall (@list @t367 @t5552 @t288 @t289) (= (tptp.hAPP (tptp.hAPP @t5894 @t19) @t367) @t5710))) % 54.75/54.97 (assume @p4505 (forall (@list @t1671 @t434 @t5451 @t16 @t14) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t14 @t5693) @t434) @t1671) (tptp.c_Nat_Onat_Onat__case @t5039 (tptp.hAPP (tptp.hAPP @t5685 @t1671) @t5451) (tptp.hAPP @t5895 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t14 @t5039) @t5874) @t1671)) @t434)))) % 54.75/54.97 (assume @p4506 (forall (@list @t434 @t16 @t1314 @t5451 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5696 @t1314)) (=> @t3607 (tptp.hBOOL (tptp.hAPP @t5897 @t1314)))))) % 54.75/54.97 (assume @p4507 (forall (@list @t16 @t434 @t5451 @t14) (tptp.hBOOL (tptp.hAPP @t5897 @t5606)))) % 54.75/54.97 (assume @p4508 (forall (@list @t288 @t512 @t5552 @t289 @t510) (=> @t5849 (and (=> @t5883 (= @t5882 @t288)) @t5884)))) % 54.75/54.97 (assume @p4509 (forall (@list @t16 @t5451 @t14 @t434) (=> @t5845 (= (= @t5896 @t5451) (= @t5843 @t16))))) % 54.75/54.97 (assume @p4510 (forall (@list @t288 @t5552 @t289 @t510) (=> @t5849 (= (tptp.hAPP @t5881 @t510) @t288)))) % 54.75/54.97 (assume @p4511 (forall (@list @t16 @t5451 @t14 @t102) (=> @t5835 (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5484 (tptp.hAPP (tptp.hAPP @t5874 @t102) @t16))))))) % 54.75/54.97 (assume @p4512 (forall @t5546 (=> @t704 (=> @t5547 (= @t5898 @t5451))))) % 54.75/54.97 (assume @p4513 (forall @t5546 (=> @t704 (= (tptp.hAPP @t5484 @t5898) @t5606)))) % 54.75/54.97 (assume @p4514 (forall (@list @t76 @t5850 @t359) (=> @t5856 (= (tptp.hAPP @t5787 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat @t5850) @t359) @t76)) (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP (tptp.hAPP @t316 @t5851) @t76)) @t5853))))) % 54.75/54.97 (assume @p4515 (forall @t5873 (=> @t704 (=> @t5872 (= @t5871 @t5451))))) % 54.75/54.97 (assume @p4516 (forall @t5546 (=> @t704 (=> @t5548 (= @t5898 @t5612))))) % 54.75/54.97 (assume @p4517 (forall (@list @t1314 @t1525 @t16 @t14) (= (tptp.c_List_Osublist @t14 (tptp.hAPP @t5692 @t1525) @t1314) (tptp.hAPP (tptp.hAPP @t5899 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If @t5039) @t5802) @t5798) @t5778)) (tptp.c_List_Osublist @t14 @t1525 (tptp.hAPP @t4844 (tptp.hAPP @t4849 @t1314))))))) % 54.75/54.97 (assume @p4518 (forall (@list @t2020 @t659 @t52 @t16 @t54 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t5904) @t5903)) @t5900)) (or @t4349 (and @t767 @t5902))))) % 54.75/54.97 (assume @p4519 (forall (@list @t5562 @t288 @t5552 @t289) (= (tptp.hAPP (tptp.hAPP @t5829 @t5907) @t5604) @t288))) % 54.75/54.97 (assume @p4520 (forall (@list @t76 @t5562 @t5552 @t289) (= (tptp.hAPP @t5911 (tptp.hAPP @t5909 @t76)) (tptp.hAPP @t5908 @t76)))) % 54.75/54.97 (assume @p4521 (forall (@list @t5912 @t5562 @t5914 @t14 @t5552 @t289) (=> (= @t5604 (tptp.hAPP @t5597 @t5914)) (=> (= @t5621 (tptp.hAPP @t5597 @t5912)) (= (tptp.hAPP @t5916 (tptp.hAPP (tptp.hAPP @t5899 @t5914) @t5912)) (tptp.hAPP (tptp.hAPP @t5915 (tptp.hAPP @t5564 @t5914)) (tptp.hAPP @t5913 @t5912))))))) % 54.75/54.97 (assume @p4522 (forall (@list @t288 @t5562 @t5552 @t289 @t510) (=> @t5849 (= (tptp.hAPP (tptp.hAPP @t5917 @t510) @t288) (tptp.hAPP (tptp.hAPP @t5905 @t5880) @t5562))))) % 54.75/54.97 (assume @p4523 (forall @t5622 (= (tptp.hAPP @t5603 @t5910) (tptp.hAPP @t5909 @t5621)))) % 54.75/54.97 (assume @p4524 (forall (@list @t367 @t5562 @t288 @t5552 @t289) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t289 @t5907) @t5604) @t367) (tptp.hAPP @t5906 @t5918)))) % 54.75/54.97 (assume @p4525 (forall (@list @t659 @t5453 @t16 @t5451 @t14) (= (= @t5923 @t5921) (and @t5454 @t678)))) % 54.75/54.97 (assume @p4526 (forall (@list @t5571 @t5453 @t5451 @t16 @t14) (= (= @t5693 @t5929) (or (and @t5928 (= @t5693 @t5571)) (exists @t5927 (and (= @t5926 @t5453) (= @t5451 @t5925))))))) % 54.75/54.97 (assume @p4527 (forall (@list @t5451 @t16 @t5571 @t5453 @t14) (= (= @t5929 @t5693) (or (and @t5928 (= @t5571 @t5693)) (exists @t5927 (and (= @t5453 @t5926) (= @t5925 @t5451))))))) % 54.75/54.97 (assume @p4528 (forall (@list @t659 @t16 @t1572 @t2020 @t52 @t54 @t14) (=> @t4349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 (tptp.hAPP @t5930 @t5904)) (tptp.hAPP @t5930 @t5903))) @t5900))))) % 54.75/54.97 (assume @p4529 (forall (@list @t5550 @t5552 @t5562 @t5932 @t288 @t289) (=> (= (tptp.hAPP @t5689 @t5932) @t5562) (=> (= @t5552 (tptp.hAPP @t5933 @t5550)) (= @t5695 @t5931))))) % 54.75/54.97 (assume @p4530 (forall (@list @t5562 @t5552 @t288 @t289) (= (tptp.hAPP (tptp.hAPP @t5905 @t5695) @t5562) (tptp.hAPP @t5689 @t5910)))) % 54.75/54.97 (assume @p4531 (forall @t5622 (=> @t387 (= (tptp.hAPP @t5757 @t5910) (tptp.hAPP (tptp.hAPP @t319 @t5758) (tptp.hAPP @t5757 @t5562)))))) % 54.75/54.97 (assume @p4532 (forall @t5460 (= (tptp.hAPP @t5456 @t5935) (tptp.hAPP (tptp.hAPP @t5899 @t5458) @t5457)))) % 54.75/54.97 (assume @p4533 (forall @t5937 (= (tptp.hAPP @t5484 @t5936) @t5504))) % 54.75/54.97 (assume @p4534 (forall @t5939 (and (=> @t5547 (= @t5938 (tptp.hAPP (tptp.hAPP @t5899 @t5542) @t5453))) (=> @t5548 (= @t5938 (tptp.hAPP @t5922 (tptp.c_List_Oremove1 @t14 @t16 @t5453))))))) % 54.75/54.97 (assume @p4535 (forall (@list @t5550 @t5562 @t5552 @t289) (= (tptp.hAPP (tptp.hAPP @t5905 @t5910) @t5550) (tptp.hAPP @t5906 @t5931)))) % 54.75/54.97 (assume @p4536 (forall (@list @t3884 @t5571 @t5453 @t5451 @t14) (= (= @t5936 (tptp.hAPP @t5942 @t3884)) (exists (@list @t5940) (or (and (= @t5451 (tptp.hAPP @t5942 @t5940)) (= (tptp.hAPP @t5941 @t5453) @t3884)) (and (= (tptp.hAPP @t5922 @t5940) @t5571) (= @t5453 (tptp.hAPP @t5941 @t3884)))))))) % 54.75/54.97 (assume @p4537 (forall @t5944 (= (= @t5936 @t5943) @t5629))) % 54.75/54.97 (assume @p4538 (forall (@list @t5571 @t5451 @t5453 @t14) (= (= (tptp.hAPP @t5920 @t5451) (tptp.hAPP @t5942 @t5451)) @t5629))) % 54.75/54.97 (assume @p4539 (forall (@list @t5914 @t5562 @t5550 @t5932 @t5552 @t289) (=> (= (tptp.hAPP @t5906 @t5932) @t5550) (=> (= @t5562 (tptp.hAPP @t5933 @t5914)) (= @t5910 (tptp.hAPP (tptp.hAPP @t5905 @t5550) @t5914)))))) % 54.75/54.97 (assume @p4540 (forall @t5514 (= (tptp.c_Map_Omap__of @t14 @t420 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t2437) @t5451) @t5453)) (tptp.c_Map_Omap__add @t14 @t420 @t5511 @t5512)))) % 54.75/54.97 (assume @p4541 (forall (@list @t54 @t5453 @t5451 @t2 @t14 @t420) (= (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5935 @t54) (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5451 (tptp.c_List_Ofoldr @t420 @t14 @t2 @t5453 @t54))))) % 54.75/54.97 (assume @p4542 (forall (@list @t16 @t2020 @t1671 @t1572 @t14) (=> @t5947 @t5946))) % 54.75/54.97 (assume @p4543 (forall (@list @t289 @t5562 @t5552) (=> @t5620 (= @t5552 @t5948)))) % 54.75/54.97 (assume @p4544 (forall @t5937 (= (= @t5936 @t5453) @t5779))) % 54.75/54.97 (assume @p4545 (forall @t5937 (= (= @t5936 @t5451) @t5928))) % 54.75/54.97 (assume @p4546 (forall @t5937 (= (= @t5936 @t5778) @t5949))) % 54.75/54.97 (assume @p4547 (forall (@list @t5451 @t14 @t5453) (= (= @t5453 @t5936) @t5779))) % 54.75/54.97 (assume @p4548 (forall (@list @t5453 @t14 @t5451) (= (= @t5451 @t5936) @t5928))) % 54.75/54.97 (assume @p4549 (forall @t5950 (= (tptp.hAPP @t5906 @t5788) @t5552))) % 54.75/54.97 (assume @p4550 (forall @t5937 (= (= @t5778 @t5936) @t5949))) % 54.75/54.97 (assume @p4551 (forall (@list @t5562 @t289) (= @t5948 @t5562))) % 54.75/54.97 (assume @p4552 (forall @t5937 (= (tptp.hBOOL (tptp.hAPP @t5525 @t5936)) (and @t5544 @t5951 (= (tptp.hAPP (tptp.hAPP @t4380 @t5485) @t5503) @t3514))))) % 54.75/54.97 (assume @p4553 (forall (@list @t5562 @t5552 @t289 @t76) (and (=> @t5954 (= @t5953 @t5832)) (=> @t5955 (= @t5953 (tptp.hAPP @t5908 @t5952)))))) % 54.75/54.97 (assume @p4554 (forall (@list @t288 @t5562 @t5552 @t289 @t76) (and (=> @t5954 (= @t5956 (tptp.hAPP (tptp.hAPP @t5905 (tptp.hAPP (tptp.hAPP @t5876 @t76) @t288)) @t5562))) (=> @t5955 (= @t5956 (tptp.hAPP @t5906 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t289 @t5562) @t5952) @t288))))))) % 54.75/54.97 (assume @p4555 (forall @t4348 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5682 @t5778)) @t5900))))) % 54.75/54.97 (assume @p4556 (forall (@list @t1314 @t5957 @t1525 @t14) (= (tptp.c_List_Osublist @t14 (tptp.hAPP (tptp.hAPP @t5899 @t1525) @t5957) @t1314) (tptp.hAPP (tptp.hAPP @t5899 (tptp.c_List_Osublist @t14 @t1525 @t1314)) (tptp.c_List_Osublist @t14 @t5957 (tptp.hAPP @t4844 (tptp.hAPP (tptp.hAPP @t4842 (tptp.hAPP @t4848 (tptp.hAPP @t2941 (tptp.hAPP @t5597 @t1525)))) @t1314))))))) % 54.75/54.97 (assume @p4557 (forall @t5174 (= (tptp.hBOOL (tptp.hAPP @t5901 @t5040)) (and @t5902 @t5960)))) % 54.75/54.97 (assume @p4558 (forall (@list @t16 @t347 @t5453 @t420 @t5451 @t14) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t5618) @t5630)) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5923 @t5453) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t5961) @t16) (tptp.hAPP @t421 (tptp.hAPP @t5869 @t5618))))))) % 54.75/54.97 (assume @p4559 (forall @t5174 (= @t5902 (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t5959) @t5958)) (= (tptp.hAPP (tptp.hAPP @t5962 @t5959) @t659) @t16)) (exists @t1235 (and (tptp.hBOOL (tptp.hAPP @t1603 (tptp.hAPP (tptp.hAPP @t2497 @t5959) @t5958))) (= (tptp.hAPP @t5963 @t16) (tptp.hAPP @t5963 @t659)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 (tptp.hAPP (tptp.hAPP @t5827 @t16) @t1231)) (tptp.hAPP (tptp.hAPP @t5827 @t659) @t1231))) @t2020)))))))) % 54.75/54.97 (assume @p4560 (forall @t5968 (= (tptp.hAPP @t5965 @t5910) (tptp.hAPP @t5967 (tptp.hAPP (tptp.hAPP @t5964 @t5952) @t5562))))) % 54.75/54.97 (assume @p4561 (forall @t5969 (=> @t5631 (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5451 (tptp.hAPP (tptp.hAPP @t5934 @t5453) @t5571)) @t5961)))) % 54.75/54.97 (assume @p4562 (forall @t5969 (=> @t5631 (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5943 @t5453) @t5961)))) % 54.75/54.97 (assume @p4563 (forall (@list @t5970 @t347 @t420 @t14) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5778 @t5970) @t347))) % 54.75/54.97 (assume @p4564 (forall (@list @t5971 @t347 @t420 @t14) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5971 @t5789) @t347))) % 54.75/54.97 (assume @p4565 (forall @t921 (= (tptp.hAPP @t5965 @t5788) @t5788))) % 54.75/54.97 (assume @p4566 (forall @t5974 (= (= @t5973 @t5778) (or @t376 @t5779)))) % 54.75/54.97 (assume @p4567 (forall @t5950 (= (tptp.hAPP (tptp.hAPP @t5964 @t19) @t5552) @t5788))) % 54.75/54.97 (assume @p4568 (forall (@list @t102 @t1525 @t14) (= (tptp.c_List_Osublist @t14 @t1525 @t2780) (tptp.hAPP @t5972 @t1525)))) % 54.75/54.97 (assume @p4569 (forall @t5975 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t5566) @t76) @t5565) (tptp.hAPP (tptp.hAPP @t5563 @t5966) (tptp.hAPP (tptp.hAPP @t5962 @t76) @t5562))))) % 54.75/54.97 (assume @p4570 (forall @t5977 (= (tptp.hAPP @t5965 @t5976) (tptp.hAPP (tptp.hAPP @t5964 (tptp.hAPP @t2530 @t306)) @t5552)))) % 54.75/54.97 (assume @p4571 (forall (@list @t5453 @t5451 @t5398 @t5399 @t420 @t14) (= (tptp.c_Map_Omap__add @t14 @t420 @t5399 (tptp.c_Map_Omap__upds @t14 @t420 @t5398 @t5451 @t5453)) (tptp.c_Map_Omap__upds @t14 @t420 @t5400 @t5451 @t5453)))) % 54.75/54.97 (assume @p4572 (forall @t5878 (=> @t5555 (tptp.hBOOL (tptp.hAPP @t5554 @t5978))))) % 54.75/54.97 (assume @p4573 (forall @t5974 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t5979) @t5485)))) % 54.75/54.97 (assume @p4574 (forall (@list @t5451 @t14 @t102 @t347) (=> @t968 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t5484 (tptp.hAPP (tptp.hAPP @t5962 @t347) @t5451))) @t5979))))) % 54.75/54.97 (assume @p4575 (forall @t5980 (=> (tptp.hBOOL (tptp.hAPP @t3606 @t5979)) @t5547))) % 54.75/54.97 (assume @p4576 (forall (@list @t5453 @t2 @t420 @t5451 @t16 @t14) (=> @t5548 (= (tptp.hAPP @t5981 @t16) @t615)))) % 54.75/54.97 (assume @p4577 (forall @t5982 (= (tptp.hAPP @t5972 @t5458) (tptp.hAPP @t5456 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake @t420) @t102) @t5451))))) % 54.75/54.97 (assume @p4578 (forall @t5984 (= (tptp.hAPP @t5983 @t5695) (tptp.hAPP @t5689 @t5966)))) % 54.75/54.97 (assume @p4579 (forall @t5707 (= (tptp.hAPP (tptp.hAPP @t5964 @t821) @t5695) @t5985))) % 54.75/54.97 (assume @p4580 (forall (@list @t659 @t2 @t5451 @t5453 @t420 @t16 @t14) (and (=> @t5988 (= @t5986 @t5981)) (=> (not @t5988) (= @t5986 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 @t5981) @t16) @t4075)))))) % 54.75/54.97 (assume @p4581 (forall (@list @t5453 @t5451 @t347 @t420 @t14) (= (tptp.c_Map_Odom @t14 @t420 @t5961) (tptp.hAPP (tptp.hAPP @t3144 @t5987) @t4671)))) % 54.75/54.97 (assume @p4582 (forall @t5990 (=> @t5989 (= @t5966 @t5552)))) % 54.75/54.97 (assume @p4583 (forall @t5991 (= (tptp.hAPP @t5603 @t5966) (tptp.hAPP @t5605 @t76)))) % 54.75/54.97 (assume @p4584 (forall (@list @t5552 @t289 @t76 @t510) (=> (tptp.hBOOL (tptp.hAPP @t515 @t76)) (= (tptp.hAPP (tptp.hAPP @t5829 @t5966) @t510) @t5848)))) % 54.75/54.97 (assume @p4585 (forall (@list @t5970 @t52 @t5971 @t54 @t347 @t420 @t14) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 (tptp.hAPP @t5705 @t5971) (tptp.hAPP (tptp.hAPP @t5698 @t52) @t5970)) @t5993))) % 54.75/54.97 (assume @p4586 (forall @t5995 (= (tptp.hAPP @t5972 @t5693) (tptp.c_Nat_Onat_Onat__case @t5039 @t5778 (tptp.hAPP @t5895 (tptp.hAPP (tptp.hAPP @t5994 @t5962) @t5451)) @t102)))) % 54.75/54.97 (assume @p4587 (forall @t5858 (and (=> @t380 (= @t5998 @t5788)) (=> @t505 (= @t5998 (tptp.hAPP @t5689 @t5997)))))) % 54.75/54.97 (assume @p4588 (forall (@list @t659 @t347 @t5453 @t420 @t434 @t5451 @t14) (=> (tptp.hBOOL (tptp.hAPP @t5999 @t434)) (=> (tptp.hBOOL (tptp.hAPP @t1536 @t5630)) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5451 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t420 @t5453) @t434) @t659)) @t5961))))) % 54.75/54.97 (assume @p4589 (forall (@list @t5970 @t52 @t347 @t420 @t5971 @t54 @t14) (=> (not (tptp.hBOOL (tptp.hAPP @t3631 @t6000))) (= @t5993 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t4076 (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5971 @t5970)) @t54) @t5992))))) % 54.75/54.97 (assume @p4590 (forall @t5866 (and (=> @t1812 (= @t6001 @t5788)) (=> @t5865 (= @t6001 (tptp.hAPP @t5689 (tptp.hAPP (tptp.hAPP @t5964 @t1606) @t5552))))))) % 54.75/54.97 (assume @p4591 (forall (@list @t347 @t2574 @t5453 @t420 @t5451 @t14) (=> @t5631 (=> (tptp.hBOOL (tptp.hAPP @t5696 @t2574)) (= (tptp.c_Map_Orestrict__map @t14 @t420 @t5961 @t2574) (tptp.c_Map_Omap__upds @t14 @t420 (tptp.c_Map_Orestrict__map @t14 @t420 @t347 (tptp.hAPP @t4095 @t5485)) @t5451 @t5453)))))) % 54.75/54.97 (assume @p4592 (forall @t6004 (=> @t5849 (= (tptp.hAPP (tptp.hAPP @t5964 @t511) @t5552) (tptp.hAPP @t6003 (tptp.hAPP @t6002 @t5788)))))) % 54.75/54.97 (assume @p4593 (forall (@list @t2020 @t659 @t5453 @t16 @t5451 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t5923) @t5921)) @t6005)) (or (and @t6006 @t678) (and @t5454 @t4356))))) % 54.75/54.97 (assume @p4594 (forall (@list @t2020 @t1671 @t1572 @t16 @t14) (=> @t5946 (=> (forall @t447 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t6007 @t446)) @t2020)))) @t5947)))) % 54.75/54.97 (assume @p4595 (forall (@list @t5451 @t2020 @t16 @t14) (=> @t4682 (=> @t6011 (tptp.hBOOL (tptp.hAPP @t6009 @t6008)))))) % 54.75/54.97 (assume @p4596 (forall @t2023 (tptp.hBOOL (tptp.hAPP @t5681 @t6012)))) % 54.75/54.97 (assume @p4597 (forall @t4199 (=> @t4198 (tptp.hBOOL (tptp.hAPP @t6013 (tptp.c_List_Olistrel1 @t14 @t98)))))) % 54.75/54.97 (assume @p4598 (forall @t2023 (= @t6015 @t6014))) % 54.75/54.97 (assume @p4599 (forall @t2023 (= @t5676 @t6012))) % 54.75/54.97 (assume @p4600 (forall @t2023 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5680 (tptp.c_List_Olistrel1 @t14 @t5120)) @t6012)))) % 54.75/54.97 (assume @p4601 (forall @t6017 (=> @t6006 (tptp.hBOOL (tptp.hAPP @t6016 @t6005))))) % 54.75/54.97 (assume @p4602 (forall @t6017 (=> @t6018 (tptp.hBOOL (tptp.hAPP @t6016 @t6012))))) % 54.75/54.97 (assume @p4603 (forall @t5675 (=> @t6006 @t5665))) % 54.75/54.97 (assume @p4604 (forall @t5174 (=> (tptp.hBOOL (tptp.hAPP @t5901 @t6012)) @t5960))) % 54.75/54.97 (assume @p4605 (forall @t5677 (not (tptp.hBOOL (tptp.hAPP @t5782 @t6005))))) % 54.75/54.97 (assume @p4606 (forall @t5677 (not (tptp.hBOOL (tptp.hAPP @t5780 @t6005))))) % 54.75/54.97 (assume @p4607 (forall (@list @t6019 @t6020 @t2020 @t5453 @t5451 @t14) (=> (or (and @t6006 (= @t6020 @t6019)) (and @t5454 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 @t6020) @t6019)) @t6005)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP (tptp.hAPP @t5623 (tptp.hAPP @t5922 @t6020)) (tptp.hAPP @t5920 @t6019))) @t6005))))) % 54.75/54.97 (assume @p4608 (forall @t5174 (= (tptp.hBOOL (tptp.hAPP @t5901 @t6015)) (tptp.hBOOL (tptp.hAPP @t5901 @t6014))))) % 54.75/54.97 (assume @p4609 (forall @t5675 (=> @t5674 @t6018))) % 54.75/54.97 (assume @p4610 (forall @t5675 (=> @t6006 @t5679))) % 54.75/54.97 (assume @p4611 (forall @t5724 (= (tptp.hBOOL (tptp.hAPP @t5722 @t6005)) (or (and @t4356 @t5454) (and @t678 @t6006))))) % 54.75/54.97 (assume @p4612 (forall (@list @t5451 @t2020 @t659 @t16 @t14) (=> @t4356 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5721 (tptp.hAPP @t5701 @t5451))) @t6005))))) % 54.75/54.97 (assume @p4613 (forall @t5030 (=> (tptp.hBOOL (tptp.hAPP @t4197 @t4289)) (=> (tptp.c_Relation_Orefl__on @t14 @t3353 @t4289) (tptp.hBOOL (tptp.hAPP @t6013 (tptp.c_List_Olistrel @t14 @t4289))))))) % 54.75/54.97 (assume @p4614 (forall (@list @t5453 @t6019 @t6020 @t5451 @t2020 @t659 @t16 @t14) (=> @t4356 (=> (= @t5451 (tptp.hAPP @t6021 (tptp.hAPP @t5692 @t6019))) (=> (= @t5453 (tptp.hAPP @t6021 (tptp.hAPP @t5701 @t6019))) @t6006))))) % 54.75/54.97 (assume @p4615 (forall @t5723 (=> @t5145 (=> @t6018 (tptp.hBOOL (tptp.hAPP @t5722 @t6012)))))) % 54.75/54.97 (assume @p4616 (forall @t5675 (= @t6006 (exists (@list @t257 @t176) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t5867 @t257)) @t2020)) @t5868 (= @t5453 (tptp.hAPP (tptp.hAPP @t5874 @t176) @t257))))))) % 54.75/54.97 (assume @p4617 (forall @t5675 (=> @t6006 (not (forall @t2496 (=> @t4520 (forall (@list @t5940 @t6022) (=> (= @t5451 (tptp.hAPP @t5941 (tptp.hAPP @t5738 @t6022))) (not (= @t5453 (tptp.hAPP @t5941 (tptp.hAPP @t5736 @t6022)))))))))))) % 54.75/54.97 (assume @p4618 (forall @t5452 (= @t6026 (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5039 @t14 @t5778 (tptp.hAPP (tptp.hAPP @t6024 @t6023) @t5809)) @t5451)))) % 54.75/54.97 (assume @p4619 (forall (@list @t181 @t5552 @t289 @t510) (=> @t5849 (= (tptp.hAPP @t5877 @t181) (tptp.hAPP @t6003 (tptp.hAPP @t5720 @t6028)))))) % 54.75/54.97 (assume @p4620 (forall @t5944 (= (= @t5936 @t5571) (and (= @t5451 (tptp.hAPP (tptp.hAPP @t5962 @t5618) @t5571)) (= @t5453 (tptp.hAPP (tptp.hAPP @t6029 @t5618) @t5571)))))) % 54.75/54.97 (assume @p4621 (forall @t5968 (= (tptp.hAPP @t6030 @t5910) (tptp.hAPP (tptp.hAPP @t5905 @t6031) (tptp.hAPP (tptp.hAPP @t6027 @t5952) @t5562))))) % 54.75/54.97 (assume @p4622 (forall (@list @t5562 @t367 @t5552 @t76 @t289) (=> (= @t6031 @t5918) (= @t5832 @t367)))) % 54.75/54.97 (assume @p4623 (forall @t5991 (= (tptp.hAPP @t5603 @t6031) (tptp.hAPP @t6032 @t76)))) % 54.75/54.97 (assume @p4624 (forall @t5950 (= (tptp.hAPP @t5603 @t6034) @t5604))) % 54.75/54.97 (assume @p4625 (forall @t5707 (= (tptp.hAPP (tptp.hAPP @t6027 @t821) @t5695) @t5552))) % 54.75/54.97 (assume @p4626 (forall @t5984 (= (tptp.hAPP @t6035 @t5695) @t6031))) % 54.75/54.97 (assume @p4627 (forall @t5982 (= (tptp.hAPP @t6036 @t5458) (tptp.hAPP @t5456 (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t420) @t102) @t5451))))) % 54.75/54.97 (assume @p4628 (forall @t5980 (=> (tptp.hBOOL (tptp.hAPP @t3606 @t6038)) @t5547))) % 54.75/54.97 (assume @p4629 (forall @t5452 (= (tptp.hAPP @t5484 @t6026) @t5485))) % 54.75/54.97 (assume @p4630 (forall @t5974 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t6038) @t5485)))) % 54.75/54.97 (assume @p4631 (forall @t5878 (=> @t5555 (tptp.hBOOL (tptp.hAPP @t5554 @t6039))))) % 54.75/54.97 (assume @p4632 (forall @t5452 (= (tptp.hBOOL (tptp.hAPP @t5525 @t6026)) @t5544))) % 54.75/54.97 (assume @p4633 (forall @t5977 (= (tptp.hAPP @t6030 @t6041) (tptp.hAPP (tptp.hAPP @t6027 @t371) @t5552)))) % 54.75/54.97 (assume @p4634 (forall @t5950 (= (tptp.hAPP (tptp.hAPP @t6027 @t19) @t5552) @t5552))) % 54.75/54.97 (assume @p4635 (forall @t5975 (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop @t5566) @t76) @t5565) (tptp.hAPP (tptp.hAPP @t5563 @t6031) (tptp.hAPP (tptp.hAPP @t6029 @t76) @t5562))))) % 54.75/54.97 (assume @p4636 (forall @t5452 (= (= @t6026 @t5778) @t5779))) % 54.75/54.97 (assume @p4637 (forall @t921 (= (tptp.hAPP @t6030 @t5788) @t5788))) % 54.75/54.97 (assume @p4638 (forall @t5974 (= (= @t6037 @t5778) (tptp.hBOOL (tptp.hAPP @t5999 @t102))))) % 54.75/54.97 (assume @p4639 (forall @t5990 (=> @t5989 (= @t6031 @t5788)))) % 54.75/54.97 (assume @p4640 (forall (@list @t5451 @t14 @t347 @t102) (=> @t1077 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 (tptp.hAPP @t5484 (tptp.hAPP (tptp.hAPP @t6029 @t347) @t5451))) @t6038))))) % 54.75/54.97 (assume @p4641 (forall @t5977 (= (tptp.hAPP @t5965 @t6041) (tptp.hAPP @t6040 (tptp.hAPP (tptp.hAPP @t5964 @t371) @t5552))))) % 54.75/54.97 (assume @p4642 (forall @t5977 (= (tptp.hAPP @t6030 @t5976) (tptp.hAPP (tptp.hAPP @t5964 @t1447) @t6031)))) % 54.75/54.97 (assume @p4643 (forall @t5991 (= (tptp.hAPP @t5967 @t6031) @t5552))) % 54.75/54.97 (assume @p4644 (forall @t5995 (= (tptp.hAPP @t6036 @t5693) (tptp.c_Nat_Onat_Onat__case @t5039 @t5693 (tptp.hAPP (tptp.hAPP @t5994 @t6029) @t5451) @t102)))) % 54.75/54.97 (assume @p4645 (forall @t5858 (and (=> @t380 (= @t6042 @t5695)) (=> @t505 (= @t6042 (tptp.hAPP (tptp.hAPP @t6027 @t1590) @t5552)))))) % 54.75/54.97 (assume @p4646 (forall (@list @t5552 @t289 @t510 @t76) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t6043) @t5604)) (= (tptp.hAPP (tptp.hAPP @t5829 @t6031) @t510) (tptp.hAPP @t5831 @t6043))))) % 54.75/54.97 (assume @p4647 (forall (@list @t6044 @t6047 @t6045 @t6046 @t14) (= (= (tptp.hAPP (tptp.hAPP @t5899 @t6046) @t6045) (tptp.hAPP (tptp.hAPP @t5899 @t6047) @t6044)) (and (=> @t6050 (and (= @t6046 (tptp.hAPP (tptp.hAPP @t5962 @t6049) @t6047)) (= @t6045 (tptp.hAPP (tptp.hAPP @t5899 (tptp.hAPP (tptp.hAPP @t6029 @t6049) @t6047)) @t6044)))) (=> (not @t6050) (and (= (tptp.hAPP (tptp.hAPP @t5962 @t6048) @t6046) @t6047) (= (tptp.hAPP (tptp.hAPP @t5899 (tptp.hAPP (tptp.hAPP @t6029 @t6048) @t6046)) @t6045) @t6044))))))) % 54.75/54.97 (assume @p4648 (forall @t6004 (=> @t5849 (= @t6051 @t6039)))) % 54.75/54.97 (assume @p4649 (forall (@list @t5552 @t288 @t14 @t289) (and (= (tptp.hAPP @t6033 @t5788) @t5788) (= (tptp.hAPP @t6025 (tptp.hAPP @t6052 @t5552)) (tptp.hAPP (tptp.hAPP @t5899 @t5552) (tptp.hAPP @t6052 @t5778)))))) % 54.75/54.97 (assume @p4650 (forall @t5866 (and (=> @t1812 (= @t6053 @t5695)) (=> @t5865 (= @t6053 (tptp.hAPP (tptp.hAPP @t6027 @t1606) @t5552)))))) % 54.75/54.97 (assume @p4651 (forall (@list @t5552 @t289 @t512 @t510) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t527) @t5604)) (= (tptp.hAPP (tptp.hAPP @t5964 @t527) @t5552) (tptp.hAPP @t6003 (tptp.hAPP (tptp.hAPP @t5964 @t512) @t6039)))))) % 54.75/54.97 (assume @p4652 (forall @t5950 (=> @t6054 (= @t6034 @t5552)))) % 54.75/54.97 (assume @p4653 (forall @t6055 (= (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5899 @t5562) @t5550)) (tptp.hAPP (tptp.hAPP @t5915 (tptp.hAPP (tptp.hAPP @t5563 (tptp.hAPP (tptp.hAPP @t5964 @t5601) @t5552)) @t5562)) (tptp.hAPP (tptp.hAPP @t5563 (tptp.hAPP (tptp.hAPP @t6027 @t5601) @t5552)) @t5550))))) % 54.75/54.97 (assume @p4654 (forall @t6055 (= (tptp.hAPP @t5916 @t5550) (tptp.hAPP (tptp.hAPP @t5915 (tptp.hAPP @t5564 (tptp.hAPP (tptp.hAPP @t5962 @t5604) @t5550))) (tptp.hAPP @t5913 (tptp.hAPP (tptp.hAPP @t6029 @t5604) @t5550)))))) % 54.75/54.97 (assume @p4655 (forall @t6004 (=> @t5849 (= @t5552 (tptp.hAPP @t6003 @t6051))))) % 54.75/54.97 (assume @p4656 (forall @t6059 (=> @t5954 (= (tptp.hAPP @t5967 (tptp.hAPP (tptp.hAPP @t5688 @t6058) @t5788)) @t6056)))) % 54.75/54.97 (assume @p4657 (forall @t6062 (=> @t6061 (=> @t5954 (= @t6058 @t5832))))) % 54.75/54.97 (assume @p4658 (forall @t6065 (=> @t5799 (= (tptp.hAPP (tptp.c_List_Ohd @t420) @t5462) (tptp.hAPP @t2 @t6064))))) % 54.75/54.97 (assume @p4659 (forall @t5707 (= (tptp.hAPP @t6057 @t5695) @t288))) % 54.75/54.97 (assume @p4660 (forall @t6069 (and (=> @t6060 (= @t6067 (tptp.hAPP @t6057 @t5562))) @t6068))) % 54.75/54.97 (assume @p4661 (forall @t6069 @t6068)) % 54.75/54.97 (assume @p4662 (forall @t5812 (=> @t5799 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 @t6064) @t5485))))) % 54.75/54.97 (assume @p4663 (forall @t6070 (=> @t6061 (= @t6066 (tptp.hAPP @t5831 @t19))))) % 54.75/54.97 (assume @p4664 (forall @t6070 (=> @t6061 (= @t6034 (tptp.hAPP @t6074 (tptp.hAPP @t6071 @t5788)))))) % 54.75/54.97 (assume @p4665 (forall @t6062 (=> @t6061 (= (tptp.hAPP @t6057 @t6077) (tptp.hAPP @t5831 @t6075))))) % 54.75/54.97 (assume @p4666 (forall @t5991 (= (tptp.hAPP @t6035 @t5552) @t6078))) % 54.75/54.97 (assume @p4667 (forall @t5991 (= @t6079 @t6078))) % 54.75/54.97 (assume @p4668 (forall @t5991 (= @t6078 @t6079))) % 54.75/54.97 (assume @p4669 (forall @t6069 (=> @t6061 (= (tptp.hAPP @t6072 @t5910) (tptp.hAPP @t6074 @t5562))))) % 54.75/54.97 (assume @p4670 (forall @t5991 (= @t6077 (tptp.hAPP (tptp.c_List_Orotate @t289 @t6075) @t5552)))) % 54.75/54.97 (assume @p4671 (forall @t5991 (= (tptp.hAPP @t5603 @t6077) @t5604))) % 54.75/54.97 (assume @p4672 (forall @t5707 (= (tptp.hAPP @t6072 @t5695) @t5552))) % 54.75/54.97 (assume @p4673 (forall @t5791 (= (tptp.hAPP @t5456 (tptp.hAPP (tptp.c_List_Otl @t420) @t5451)) (tptp.hAPP @t6080 @t5458)))) % 54.75/54.97 (assume @p4674 (forall @t5982 (= (tptp.hAPP @t6081 @t5458) (tptp.hAPP @t5456 (tptp.hAPP (tptp.c_List_Orotate @t420 @t102) @t5451))))) % 54.75/54.97 (assume @p4675 (forall @t5974 (= (tptp.hAPP @t5484 @t6082) @t5485))) % 54.75/54.97 (assume @p4676 (forall @t5950 (=> @t5555 (tptp.hBOOL (tptp.hAPP @t5554 @t6073))))) % 54.75/54.97 (assume @p4677 (forall @t5974 (= (tptp.hBOOL (tptp.hAPP @t5525 @t6082)) @t5544))) % 54.75/54.97 (assume @p4678 (forall (@list @t5552 @t76 @t306 @t289) (= (tptp.hAPP (tptp.c_List_Orotate @t289 @t306) @t6077) (tptp.hAPP (tptp.c_List_Orotate @t289 @t363) @t5552)))) % 54.75/54.97 (assume @p4679 (forall @t5974 (= (= @t6082 @t5778) @t5779))) % 54.75/54.97 (assume @p4680 (forall @t305 (= (tptp.hAPP @t6072 @t5788) @t5788))) % 54.75/54.97 (assume @p4681 (forall @t5991 (= @t6083 (tptp.hAPP @t6072 @t6056)))) % 54.75/54.97 (assume @p4682 (forall @t620 (= @t6081 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t5039 @t5039) @t102) @t6025)))) % 54.75/54.97 (assume @p4683 (forall @t5991 (= @t6084 (tptp.hAPP @t6076 @t6034)))) % 54.75/54.97 (assume @p4684 (forall @t5991 (= (tptp.hAPP (tptp.c_List_Orotate @t289 @t254) @t5552) @t6084))) % 54.75/54.97 (assume @p4685 (forall @t5937 (= (tptp.hAPP @t6080 @t5936) (tptp.hAPP (tptp.c_List_Olist_Olist__case @t5039 @t14 (tptp.hAPP @t6080 @t5453) (tptp.hAPP (tptp.c_COMBK @t5729 @t14) (tptp.hAPP @t6023 @t5453))) @t5451)))) % 54.75/54.97 (assume @p4686 (forall @t1799 (= (tptp.c_List_Orotate @t14 @t19) @t5448))) % 54.75/54.97 (assume @p4687 (forall @t623 (= (tptp.c_List_Orotate @t14 @t378) (tptp.hAPP (tptp.c_Fun_Ocomp @t5039 @t5039 @t5039 (tptp.c_List_Orotate @t14 @t347)) @t6081)))) % 54.75/54.97 (assume @p4688 (forall @t6059 (=> (= @t6075 @t19) @t6085))) % 54.75/54.97 (assume @p4689 (forall @t5990 (=> @t6054 @t6085))) % 54.75/54.97 (assume @p4690 (forall @t5950 (= (tptp.hAPP @t5603 @t6073) @t6086))) % 54.75/54.97 (assume @p4691 (forall @t5991 (= (tptp.hAPP @t6072 @t5966) (tptp.hAPP @t5996 @t6073)))) % 54.75/54.97 (assume @p4692 (forall @t6062 (=> @t6061 (= @t6056 (tptp.hAPP @t6071 @t6083))))) % 54.75/54.97 (assume @p4693 (forall @t5991 (= @t6077 (tptp.hAPP (tptp.hAPP @t5905 (tptp.hAPP (tptp.hAPP @t6027 @t6075) @t5552)) (tptp.hAPP (tptp.hAPP @t5964 @t6075) @t5552))))) % 54.75/54.97 (assume @p4694 (forall @t5452 (=> @t4831 (=> @t5799 (= (tptp.hAPP @t4817 @t5485) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t761 @t6064) (tptp.hAPP @t6080 @t5451))))))) % 54.75/54.97 (assume @p4695 (forall (@list @t5469 @t54 @t286 @t14) (= (tptp.c_List_Olist_Olist__size @t14 @t286 @t5706) (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t317 (tptp.c_List_Olist_Olist__size @t14 @t286 @t5469))) @t315)))) % 54.75/54.97 (assume @p4696 (forall @t4647 (= (tptp.hAPP @t6087 @t5789) @t54))) % 54.75/54.97 (assume @p4697 (forall (@list @t54 @t5451 @t14) (=> (tptp.class_Groups_Oab__semigroup__add @t14) (= (tptp.c_List_Ofoldr @t14 @t14 @t329 @t5451 @t54) @t6088)))) % 54.75/54.97 (assume @p4698 (forall (@list @t5571 @t16 @t14) (=> @t5763 (= (tptp.hAPP @t1109 (tptp.hAPP @t6089 @t5571)) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t329 @t16) @t5571))))) % 54.75/54.97 (assume @p4699 (forall @t6090 (=> (tptp.class_Groups_Osemigroup__add @t14) (= (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t329 @t1110) @t5571) (tptp.hAPP @t1109 (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t329 @t659) @t5571)))))) % 54.75/54.97 (assume @p4700 (forall (@list @t5783 @t102 @t347) (=> @t968 (tptp.hBOOL (tptp.hAPP @t967 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t316 @t102) @t5783)))))) % 54.75/54.97 (assume @p4701 (forall (@list @t5451 @t2 @t579 @t54 @t1 @t420 @t14) (= (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 @t1 @t54) @t5473) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t579 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t14 @t4585 @t2873) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1316 (tptp.tc_fun @t4585 @t2873) @t14) @t3053) @t1)) @t2) @t54) @t5451)))) % 54.75/54.97 (assume @p4702 (forall (@list @t5451 @t1 @t420 @t2 @t14) (= (tptp.c_List_Olist_Olist__size @t14 @t2 @t5490) (tptp.c_List_Olist_Olist__size @t420 (tptp.hAPP (tptp.c_Fun_Ocomp @t14 tptp.tc_Nat_Onat @t420 @t2) @t1) @t5451)))) % 54.75/54.97 (assume @p4703 (forall (@list @t5451 @t16 @t54 @t2 @t420 @t14) (= (tptp.hAPP @t6087 @t5700) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 @t2 (tptp.hAPP @t55 @t16)) @t5451)))) % 54.75/54.97 (assume @p4704 (forall (@list @t5453 @t5451 @t54 @t2 @t420 @t14) (= (tptp.hAPP @t6087 @t5935) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 @t2 @t6091) @t5453)))) % 54.75/54.97 (assume @p4705 (forall @t1799 (=> @t5763 (= @t5759 @t6089)))) % 54.75/54.97 (assume @p4706 (forall @t6093 (=> @t5763 (= @t6088 (tptp.hAPP @t330 @t6092))))) % 54.75/54.97 (assume @p4707 (forall @t5452 (=> @t5763 (= (tptp.hAPP @t6089 @t5451) @t6092)))) % 54.75/54.97 (assume @p4708 (forall (@list @t5783 @t347) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t316 @t347) @t5783) @t19) (and @t377 @t5786)))) % 54.75/54.97 (assume @p4709 (forall @t287 (= (tptp.c_List_Olist_Olist__size @t14 @t286 @t5778) @t19))) % 54.75/54.97 (assume @p4710 (forall (@list @t5451 @t659 @t2 @t420 @t14) (=> @t4838 (= (tptp.hAPP (tptp.hAPP @t5217 @t659) @t5485) (tptp.hAPP (tptp.c_List_Ofoldl @t420 @t14 (tptp.hAPP @t3755 @t2) @t659) @t5451))))) % 54.75/54.97 (assume @p4711 (forall @t5452 (=> @t3302 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t5485) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t3185 @t3521) @t5451))))) % 54.75/54.97 (assume @p4712 (forall @t5452 (=> @t3302 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t14 @t5485) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t4392 @t3355) @t5451))))) % 54.75/54.97 (assume @p4713 (forall @t5546 (=> @t3186 (= (tptp.c_Big__Operators_Olattice__class_OSup__fin @t14 @t5694) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t3185 @t16) @t5451))))) % 54.75/54.97 (assume @p4714 (forall @t5546 (=> @t3186 (= (tptp.c_Big__Operators_Olattice__class_OInf__fin @t14 @t5694) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t14 @t4392 @t16) @t5451))))) % 54.75/54.97 (assume @p4715 (forall @t5546 (=> @t704 (= (tptp.c_Big__Operators_Olinorder__class_OMin @t14 @t5694) @t6094)))) % 54.75/54.97 (assume @p4716 (forall @t5546 (=> @t704 (= (tptp.c_Big__Operators_Olinorder__class_OMax @t14 @t5694) @t6095)))) % 54.75/54.97 (assume @p4717 (forall @t5546 (=> @t704 (= (tptp.c_Big__Operators_Olattice_OInf__fin @t14 @t2506 @t5694) @t6094)))) % 54.75/54.97 (assume @p4718 (forall @t5546 (=> @t704 (= (tptp.c_Big__Operators_Olattice_OSup__fin @t14 @t2630 @t5694) @t6095)))) % 54.75/54.97 (assume @p4719 (forall @t6096 (=> @t3302 (= (tptp.hAPP (tptp.hAPP @t3300 @t5487) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t2883 @t3185) @t2)) @t3521) @t5451))))) % 54.75/54.97 (assume @p4720 (forall @t6096 (=> @t3302 (= (tptp.hAPP (tptp.hAPP @t5294 @t5487) @t2) (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 (tptp.hAPP @t2890 (tptp.hAPP (tptp.hAPP @t2883 @t4392) @t2)) @t3355) @t5451))))) % 54.75/54.97 (assume @p4721 (forall @t6099 (=> @t5547 (=> (tptp.hBOOL (tptp.hAPP @t6098 @t615)) (tptp.hBOOL (tptp.hAPP @t6098 @t6097)))))) % 54.75/54.97 (assume @p4722 (forall @t6099 (=> @t5547 (=> (tptp.hBOOL (tptp.hAPP @t1510 @t615)) (tptp.hBOOL (tptp.hAPP @t1510 @t6097)))))) % 54.75/54.97 (assume @p4723 (forall (@list @t6019 @t5522 @t347 @t420 @t14) (= (tptp.c_Map_Omap__upds @t14 @t420 @t347 @t5522 @t6019) (tptp.hAPP (tptp.c_List_Ofoldl @t5409 @t2437 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6103 (tptp.tc_fun @t2437 @t5409) @t5409) (tptp.c_Product__Type_Oprod_Oprod__case @t14 @t420 @t5409)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5409 @t5414 @t6103) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6102 (tptp.tc_fun @t5414 @t6103) @t5409) (tptp.c_COMBC @t14 @t5414 @t6100)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t14 @t5410) @t6102 @t5409) (tptp.hAPP (tptp.c_COMBB @t5410 @t6101 @t14) (tptp.c_COMBB @t4074 @t5409 @t420))) @t4076))) @t421)) @t347) (tptp.hAPP (tptp.hAPP @t5559 @t5522) @t6019))))) % 54.75/54.97 (assume @p4724 (forall (@list @t5783 @t102) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2977 @t102) @t5785)) (tptp.hBOOL (tptp.hAPP @t1063 (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t316 @t19) @t5783)))))) % 54.75/54.97 (assume @p4725 (forall @t6104 (= @t6097 (tptp.hAPP (tptp.hAPP @t316 (tptp.hAPP @t5787 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t14 tptp.tc_Nat_Onat) @t2) @t5451))) @t5618)))) % 54.75/54.97 (assume @p4726 (forall @t4816 (=> @t4754 (tptp.hBOOL (tptp.hAPP @t5681 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma @t5039 @t5039) @t6105) (tptp.hAPP (tptp.c_COMBK @t5433 @t5039) @t6105))))))) % 54.75/54.97 (assume @p4727 (forall @t5677 (=> @t6011 @t6106))) % 54.75/54.97 (assume @p4728 (forall @t2584 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5728 @t5778) @t6105)))) % 54.75/54.97 (assume @p4729 (forall @t4345 (=> @t4809 (tptp.c_Relation_Orefl__on @t5039 @t6105 @t5673)))) % 54.75/54.97 (assume @p4730 (forall @t4345 (=> @t4353 (tptp.c_Equiv__Relations_Oequiv @t5039 @t6105 @t5673)))) % 54.75/54.97 (assume @p4731 (forall (@list @t1314 @t5453 @t5451 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5728 @t5936) @t6105)) (and @t6107 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5728 @t5453) @t6105)))))) % 54.75/54.97 (assume @p4732 (forall @t2491 (=> @t2490 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t5433) @t6105) (tptp.c_List_Olists @t14 @t1467)))))) % 54.75/54.97 (assume @p4733 (forall @t1799 (= (tptp.c_List_Olists @t14 @t3353) @t5434))) % 54.75/54.97 (assume @p4734 (forall (@list @t1314 @t5451 @t16 @t14) (= (tptp.hBOOL (tptp.hAPP @t6009 @t6105)) (and @t3607 @t6107)))) % 54.75/54.97 (assume @p4735 (forall @t6108 (= @t6107 (forall @t8 (=> @t5838 @t3087))))) % 54.75/54.97 (assume @p4736 (forall @t2584 (= @t6105 (tptp.hAPP @t5662 @t5660)))) % 54.75/54.97 (assume @p4737 (forall @t1799 (= (tptp.c_List_Olists @t14 @t3514) @t5807))) % 54.75/54.97 (assume @p4738 (forall @t5677 (=> @t6106 @t6011))) % 54.75/54.97 (assume @p4739 (forall (@list @t2020 @t16 @t14 @t659) (=> (exists (@list @t2389 @t1456) (= @t659 (tptp.hAPP (tptp.hAPP @t5685 @t2389) @t1456))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5682 (tptp.hAPP @t5945 @t659))) @t5900))))) % 54.75/54.97 (assume @p4740 (forall (@list @t2020 @t659 @t14) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t5781 @t659)) @t5900)) (exists (@list @t446 @t4) (= @t659 (tptp.hAPP @t6109 @t4)))))) % 54.75/54.97 (assume @p4741 (forall (@list @t288 @t359 @t289 @t5552) (=> @t6061 (and (=> @t6114 (= @t6113 @t288)) (=> @t6115 (= @t6113 @t6110)))))) % 54.75/54.97 (assume @p4742 (forall (@list @t1 @t2 @t5451 @t14 @t420) (=> (and (tptp.class_Groups_Omonoid__add @t420) @t3506) (=> (forall @t8 (=> @t5838 @t1031)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1006 @t5769) (tptp.hAPP @t5768 (tptp.hAPP (tptp.hAPP @t5435 @t1) @t5451)))))))) % 54.75/54.97 (assume @p4743 (forall @t6119 @t6118)) % 54.75/54.97 (assume @p4744 (forall @t6119 @t6121)) % 54.75/54.97 (assume @p4745 (forall @t6119 (and @t6118 @t6121))) % 54.75/54.97 (assume @p4746 (forall @t5708 @t6123)) % 54.75/54.97 (assume @p4747 (forall @t5708 @t6124)) % 54.75/54.97 (assume @p4748 (forall @t5708 (and @t6123 @t6124))) % 54.75/54.97 (assume @p4749 (forall @t6065 (=> @t5799 (= (tptp.c_List_Olast @t420 @t5462) (tptp.hAPP @t2 (tptp.c_List_Olast @t14 @t5451)))))) % 54.75/54.97 (assume @p4750 (forall (@list @t14 @t5971) (=> (not (= @t5971 @t5778)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3085 (tptp.c_List_Olast @t14 @t5971)) @t6000))))) % 54.75/54.97 (assume @p4751 (forall @t5556 (= (tptp.c_List_Olast @t289 @t6125) @t288))) % 54.75/54.97 (assume @p4752 (forall @t6059 (=> @t5954 (= (tptp.c_List_Olast @t289 @t6031) @t6110)))) % 54.75/54.97 (assume @p4753 (forall @t6070 (=> @t6061 (= @t6110 (tptp.hAPP @t5831 @t6086))))) % 54.75/54.97 (assume @p4754 (forall @t5127 (=> (forall @t2395 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP @t6007 @t2389)) @t2020)) (= @t446 @t2389) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3799 (tptp.hAPP (tptp.hAPP @t3796 @t2389) @t446)) @t2020)))) (or @t5902 @t678 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t6126 @t16)) @t5900)))))) % 54.75/54.97 (assume @p4755 (forall (@list @t659 @t2020 @t14) (=> @t4185 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5625 (tptp.hAPP @t6126 @t659)) @t5900)))))) % 54.75/54.97 (assume @p4756 (forall @t3464 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5728 @t54) @t6105)) (or (= @t54 @t5778) (exists (@list @t446 @t6127) (and (= @t54 (tptp.hAPP @t6109 @t6127)) @t4254 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5728 @t6127) @t6105)))))))) % 54.75/54.97 (assume @p4757 (forall (@list @t1 @t2 @t5451 @t14) (=> (forall @t8 (=> @t5838 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t6) @t5)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t6097) (tptp.c_List_Olist_Olist__size @t14 @t1 @t5451)))))) % 54.75/54.97 (assume @p4758 (forall @t6059 (=> (tptp.hBOOL (tptp.hAPP @t1084 @t5604)) (= (tptp.c_List_Obutlast @t289 @t5966) @t5997)))) % 54.75/54.97 (assume @p4759 (forall (@list @t5562 @t5552 @t289 @t359) (=> (tptp.hBOOL (tptp.hAPP @t993 @t5604)) (=> (tptp.hBOOL (tptp.hAPP @t993 @t5621)) (=> (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t1603 @t359)) (= (tptp.hAPP @t5831 @t1231) (tptp.hAPP @t5908 @t1231)))) (= (tptp.hAPP @t6128 @t5552) (tptp.hAPP @t6128 @t5562))))))) % 54.75/54.97 (assume @p4760 (forall @t5791 (= (tptp.hAPP @t5456 (tptp.c_List_Obutlast @t420 @t5451)) (tptp.c_List_Obutlast @t14 @t5458)))) % 54.75/54.97 (assume @p4761 (forall @t6070 (=> @t6061 (=> @t5555 (tptp.hBOOL (tptp.hAPP @t5554 @t6129)))))) % 54.75/54.97 (assume @p4762 (forall @t305 (= (tptp.c_List_Obutlast @t289 @t5788) @t5788))) % 54.75/54.97 (assume @p4763 (forall @t5546 (=> @t6130 @t5547))) % 54.75/54.97 (assume @p4764 (forall @t5708 (and (=> @t6060 (= @t6131 @t5788)) (=> @t6061 (= @t6131 (tptp.hAPP @t5689 @t6129)))))) % 54.75/54.97 (assume @p4765 (forall @t6119 (and (=> @t6117 (= @t6132 @t6129)) (=> @t6120 (= @t6132 (tptp.hAPP @t5906 (tptp.c_List_Obutlast @t289 @t5562))))))) % 54.75/54.97 (assume @p4766 (forall @t5991 (= @t6134 @t6133))) % 54.75/54.97 (assume @p4767 (forall @t5991 (= @t6133 @t6134))) % 54.75/54.97 (assume @p4768 (forall @t5939 (=> (or @t6130 (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5484 @t6135)))) (tptp.hBOOL (tptp.hAPP @t3606 (tptp.hAPP @t5484 (tptp.c_List_Obutlast @t14 @t5936))))))) % 54.75/54.97 (assume @p4769 (forall @t5556 (= (tptp.c_List_Obutlast @t289 @t6125) @t5552))) % 54.75/54.97 (assume @p4770 (forall @t6059 (=> @t5954 (= (tptp.hAPP @t5965 @t6129) @t5966)))) % 54.75/54.97 (assume @p4771 (forall @t5950 (= (tptp.hAPP @t5603 @t6129) @t6086))) % 54.75/54.97 (assume @p4772 (forall @t5950 (= @t6129 (tptp.hAPP (tptp.hAPP @t5964 @t6086) @t5552)))) % 54.75/54.97 (assume @p4773 (forall (@list @t288 @t5552 @t289 @t359) (and (=> @t6114 (= @t6136 @t6129)) (=> @t6115 (= @t6136 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t289 @t6129) @t359) @t288)))))) % 54.75/54.97 (assume @p4774 (forall (@list @t5453 @t16 @t5451 @t14) (= (= @t5923 @t5453) (and (not @t5928) (= @t6135 @t5451) (= (tptp.c_List_Olast @t14 @t5453) @t16))))) % 54.75/54.97 (assume @p4775 (forall @t6070 (=> @t6061 (= (tptp.hAPP (tptp.hAPP @t5905 @t6129) (tptp.hAPP (tptp.hAPP @t5688 @t6110) @t5788)) @t5552)))) % 54.75/54.97 (assume @p4776 (forall (@list @t6137 @t420 @t5451 @t14) (= (tptp.hAPP (tptp.hAPP @t2609 @t5619) (tptp.c_List_Ofoldr @t5437 tptp.tc_Nat_Onat (tptp.hAPP @t6139 @t5595) @t6137 @t19)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t2609 @t5618) (tptp.c_List_Ofoldr @t5437 tptp.tc_Nat_Onat (tptp.hAPP @t6139 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5437 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP @t6138 @t1445) @t5595)) @t315)) (tptp.hAPP (tptp.c_List_Ofilter @t5437 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t5437) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5437 @t5437 tptp.tc_HOL_Obool) tptp.c_fequal) @t5789))) @t6137) @t19)))))) % 54.75/54.97 (assume @p4777 (forall @t6146 (=> @t6145 (= (tptp.hAPP (tptp.hAPP @t3144 @t6143) @t6141) @t5485)))) % 54.75/54.97 (assume @p4778 (forall @t6151 (= (tptp.hAPP @t5597 @t6150) (tptp.hAPP @t5595 @t6148)))) % 54.75/54.97 (assume @p4779 (forall @t6154 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2360 @t6153) @t5485)))) % 54.75/54.97 (assume @p4780 (forall @t6154 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t6155) @t5618)))) % 54.75/54.97 (assume @p4781 (forall (@list @t5453 @t5451 @t87 @t14) (= (tptp.hAPP @t6149 @t5936) (tptp.hAPP (tptp.hAPP @t5899 @t6152) (tptp.hAPP @t6149 @t5453))))) % 54.75/54.97 (assume @p4782 (forall @t6154 (= (tptp.hAPP (tptp.hAPP @t316 @t6155) (tptp.hAPP @t5597 (tptp.hAPP (tptp.c_List_Ofilter @t14 @t4882) @t5451))) @t5618))) % 54.75/54.97 (assume @p4783 (forall @t6158 (and (=> @t2739 (= @t6156 (tptp.hAPP @t5692 @t6152))) (=> @t6157 (= @t6156 @t6152))))) % 54.75/54.97 (assume @p4784 (forall @t6154 (= (= @t6152 @t5451) @t5839))) % 54.75/54.97 (assume @p4785 (forall (@list @t5451 @t2 @t14 @t16 @t87 @t420) (=> @t5610 (=> @t6157 (= (tptp.hAPP @t6149 @t5609) @t6152))))) % 54.75/54.97 (assume @p4786 (forall @t5840 (=> @t5544 (tptp.hBOOL (tptp.hAPP @t5525 @t6152))))) % 54.75/54.97 (assume @p4787 (forall @t6158 (=> @t6157 (= (tptp.c_List_Oremove1 @t14 @t16 @t6152) @t6152)))) % 54.75/54.97 (assume @p4788 (forall (@list @t5451 @t16 @t2599 @t14) (= (tptp.hAPP @t6159 @t5542) (tptp.c_List_Oremove1 @t14 @t16 @t6160)))) % 54.75/54.97 (assume @p4789 (forall (@list @t5451 @t2599 @t87 @t14) (= (tptp.hAPP @t6149 @t6160) (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t2761 @t2599)) @t87)) @t5451)))) % 54.75/54.97 (assume @p4790 (forall @t6154 (= (tptp.hAPP (tptp.c_Product__Type_Ofst @t5039 @t5039) @t6144) @t6152))) % 54.75/54.97 (assume @p4791 (forall @t6154 (= (= @t6152 @t5778) (forall @t8 (=> @t5838 @t4879))))) % 54.75/54.97 (assume @p4792 (forall @t4872 (= (tptp.hAPP @t6149 @t5778) @t5778))) % 54.75/54.97 (assume @p4793 (forall @t6154 (= @t6153 (tptp.hAPP @t4854 (tptp.hAPP (tptp.hAPP @t4663 (tptp.hAPP @t2761 (tptp.hAPP @t3689 @t5485))) @t87))))) % 54.75/54.97 (assume @p4794 (forall @t6104 (= (tptp.c_List_Opartition @t14 @t2 @t5451) (tptp.hAPP (tptp.hAPP @t5623 (tptp.hAPP (tptp.c_List_Ofilter @t14 @t2) @t5451)) (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP @t6161 @t2)) @t5451))))) % 54.75/54.97 (assume @p4795 (forall @t6154 (= (tptp.hAPP (tptp.c_Product__Type_Osnd @t5039 @t5039) @t6144) (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP @t6161 @t87)) @t5451)))) % 54.75/54.97 (assume @p4796 (forall @t6151 (= @t6150 (tptp.hAPP @t5456 @t6148)))) % 54.75/54.97 (assume @p4797 (forall (@list @t87 @t5451 @t16 @t14) (=> @t5547 (=> @t6157 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t448 @t6155) @t5618)))))) % 54.75/54.97 (assume @p4798 (forall @t6162 (= (tptp.hAPP @t5541 @t3776) (tptp.hAPP @t5484 (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP @t4874 (tptp.hAPP @t2770 @t659))) @t5451))))) % 54.75/54.97 (assume @p4799 (forall @t6146 (=> @t6145 (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t6143)) @t1143)) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 @t6141)) @t4879)))))) % 54.75/54.97 (assume @p4800 (forall @t4872 (= (tptp.c_List_Opartition @t14 @t87 @t5778) @t5800))) % 54.75/54.97 (assume @p4801 (forall @t5773 (=> @t5544 (= (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP @t3689 (tptp.hAPP @t5484 @t6163))) @t5451) @t6163)))) % 54.75/54.97 (assume @p4802 (forall (@list @t5451 @t16 @t87 @t14) (= (tptp.c_List_Opartition @t14 @t87 @t5693) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t5039 @t5039 @t5042) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t5039 @t5637 @t5637) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t6165 (tptp.tc_fun @t5637 @t5637) @t5039) (tptp.c_COMBS @t5039 @t5042 @t5042)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5637 @t6165 @t5039) (tptp.hAPP (tptp.c_COMBB @t5042 @t6164 @t5039) (tptp.hAPP (tptp.c_If @t5042) @t2735))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5039 @t5637 @t5039) @t5623) @t5692)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t5039 @t5729 @t5637) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5637 (tptp.tc_fun @t5729 @t5637) @t5039) (tptp.c_COMBB @t5039 @t5042 @t5039)) @t5623)) @t5692))) @t6144)))) % 54.75/54.97 (assume @p4803 (forall @t6167 (= (tptp.hAPP @t5597 (tptp.hAPP @t6166 @t5451)) (tptp.hAPP @t3129 (tptp.hAPP @t4844 (tptp.hAPP @t5740 (tptp.hAPP (tptp.hAPP @t5859 @t1601) @t5828))))))) % 54.75/54.97 (assume @p4804 (forall @t5791 (= @t6168 (tptp.hAPP (tptp.hAPP @t5455 (tptp.hAPP (tptp.c_Fun_Ocomp @t2706 @t14 @t420 (tptp.c_Option_Othe @t14)) @t2)) (tptp.hAPP (tptp.c_List_Ofilter @t420 (tptp.hAPP @t4905 (tptp.hAPP (tptp.hAPP @t4961 (tptp.hAPP @t4960 @t2)) @t285))) @t5451))))) % 54.75/54.97 (assume @p4805 (forall @t5452 (= (tptp.c_List_Ofoldr @t5039 tptp.tc_Nat_Onat @t6174 @t6173 @t19) (tptp.hAPP @t6172 (tptp.hAPP @t6170 @t5451))))) % 54.75/54.97 (assume @p4806 (forall (@list @t87 @t57 @t349 @t5451 @t14 @t420) (=> (= @t5516 @t5594) (=> (tptp.hBOOL (tptp.hAPP @t455 @t57)) (= (tptp.hAPP (tptp.c_Map_Omap__of @t420 @t14 (tptp.hAPP (tptp.c_List_Ofilter @t2675 @t5046) @t5451)) @t349) @t5594))))) % 54.75/54.97 (assume @p4807 (forall @t5489 (= (tptp.c_List_Otranspose @t14 @t6176) (tptp.hAPP @t6175 (tptp.c_List_Otranspose @t420 @t5451))))) % 54.75/54.97 (assume @p4808 (forall @t5611 (= (tptp.c_List_Omap__filter @t420 @t14 @t2 @t5700) (tptp.hAPP (tptp.c_Option_Ooption_Ooption__case @t5039 @t14 @t6168 (tptp.hAPP @t5808 @t6168)) @t615)))) % 54.75/54.97 (assume @p4809 (forall @t305 (= (tptp.c_List_Otranspose @t289 @t6177) @t6177))) % 54.75/54.97 (assume @p4810 (forall @t3526 (= (tptp.c_List_Omap__filter @t420 @t14 @t2 @t5789) @t5778))) % 54.75/54.97 (assume @p4811 (forall @t5452 (= (= @t6173 @t6182) (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t6181 @t6180)) @t6178))))) % 54.75/54.97 (assume @p4812 (forall (@list @t6183 @t289) (= (tptp.c_List_Otranspose @t289 (tptp.hAPP (tptp.hAPP @t6184 @t5788) @t6183)) (tptp.c_List_Otranspose @t289 @t6183)))) % 54.75/54.97 (assume @p4813 (forall (@list @t6185 @t5451 @t87 @t14) (= (tptp.hAPP @t6191 (tptp.hAPP (tptp.c_List_Ofilter @t6189 (tptp.hAPP @t6190 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t6189) tptp.c_Nat_OSuc) @t6188))) (tptp.hAPP @t6187 @t6185))) (tptp.hAPP @t6191 (tptp.hAPP (tptp.c_List_Ofilter @t6189 (tptp.hAPP @t6190 @t6188)) (tptp.hAPP @t6187 (tptp.hAPP @t6186 @t6185))))))) % 54.75/54.97 (assume @p4814 (forall @t5452 (= (tptp.c_Random_Oselect__weight @t14 @t6192) @t5750))) % 54.75/54.97 (assume @p4815 (forall @t5452 (= (tptp.c_Random_Opick @t14 @t6192) @t5754))) % 54.75/54.97 (assume @p4816 (forall @t5756 (=> @t6200 (= @t6198 (tptp.hAPP @t6196 @t6194))))) % 54.75/54.97 (assume @p4817 (forall @t5452 (= @t6199 (tptp.c_List_Ofoldr @t5039 tptp.tc_Nat_Onat @t6174 @t5451 @t19)))) % 54.75/54.97 (assume @p4818 (forall (@list @t5451 @t87 @t2 @t14 @t420) (= @t6204 (tptp.c_List_Omap__filter @t420 @t14 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t2706 @t2706) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t420 @t2706 @t6201) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t2706 @t6201) @t420) (tptp.c_If @t2706)) @t87)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2706 @t420) @t292) @t2))) @t285) @t5451)))) % 54.75/54.97 (assume @p4819 (forall (@list @t2 @t5451 @t54 @t14 @t420) (=> @t5610 (=> @t5549 (=> @t6206 (=> (= (tptp.hAPP @t6063 (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP (tptp.hAPP @t4884 (tptp.hAPP tptp.c_fequal @t55)) @t2)) @t5451)) @t54) (= (tptp.hAPP @t5792 @t6205) @t5451))))))) % 54.75/54.97 (assume @p4820 (forall @t6108 (= (tptp.c_List_Osublist @t14 @t5451 @t1314) (tptp.hAPP @t6191 (tptp.hAPP @t6211 @t6208))))) % 54.75/54.97 (assume @p4821 (forall @t305 (=> @t664 (tptp.c_List_Olinorder__class_Osorted @t289 @t5788)))) % 54.75/54.97 (assume @p4822 (forall @t291 (=> @t664 (tptp.c_List_Olinorder__class_Osorted @t289 @t5985)))) % 54.75/54.97 (assume @p4823 (forall (@list @t5451 @t1 @t14) (=> @t704 (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP (tptp.c_List_Ofilter @t14 (tptp.hAPP @t2770 @t6212)) @t5451))))) % 54.75/54.97 (assume @p4824 (forall @t5762 (=> @t704 (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5456 (tptp.hAPP (tptp.c_List_Ofilter @t420 (tptp.hAPP (tptp.hAPP @t4956 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t2359 @t420) tptp.c_fequal) @t2)) @t6212)) @t5451)))))) % 54.75/54.97 (assume @p4825 (forall (@list @t87 @t5451 @t2 @t420 @t14) (=> @t704 (=> @t6213 (tptp.c_List_Olinorder__class_Osorted @t14 @t6204))))) % 54.75/54.97 (assume @p4826 (forall @t545 (= (tptp.hAPP @t5855 @t6214) @t1578))) % 54.75/54.97 (assume @p4827 (forall @t5950 (=> @t664 (=> @t6061 (=> @t6215 (tptp.c_List_Olinorder__class_Osorted @t289 @t6129)))))) % 54.75/54.97 (assume @p4828 (forall (@list @t5451 @t16 @t1531 @t434) (= (= @t6217 (tptp.hAPP (tptp.hAPP @t6216 @t16) @t5451)) (and (tptp.hBOOL (tptp.hAPP @t1536 @t1531)) (= @t434 @t16) (= (tptp.c_List_Oupt (tptp.hAPP @t1532 @t821) @t1531) @t5451))))) % 54.75/54.97 (assume @p4829 (forall @t1757 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 @t571) @t76)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) @t306) (tptp.c_List_Oupt @t510 @t76)) (tptp.c_List_Oupt @t510 @t571))))) % 54.75/54.97 (assume @p4830 (forall @t544 (=> @t1584 @t6219))) % 54.75/54.97 (assume @p4831 (forall @t3106 (= (= @t6217 @t6218) (or (= @t1531 @t19) @t1582)))) % 54.75/54.97 (assume @p4832 (forall @t5551 (=> @t664 (=> @t1004 (=> (tptp.c_List_Olinorder__class_Osorted @t289 @t6220) (tptp.c_List_Olinorder__class_Osorted @t289 (tptp.hAPP @t5689 @t6220))))))) % 54.75/54.97 (assume @p4833 (forall @t6090 (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5692 @t6221)) (and @t1027 (tptp.c_List_Olinorder__class_Osorted @t14 @t6221)))))) % 54.75/54.97 (assume @p4834 (forall @t517 (=> @t989 (= (tptp.c_List_Oupt @t510 @t539) (tptp.hAPP @t6222 (tptp.c_List_Oupt @t512 @t539)))))) % 54.75/54.97 (assume @p4835 (forall @t545 (and @t6224 (=> (not @t989) (= @t6223 @t6218))))) % 54.75/54.97 (assume @p4836 (forall @t545 @t6224)) % 54.75/54.97 (assume @p4837 (forall @t5546 (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 @t5693) (and @t6225 (forall @t8 (=> @t5838 @t4827))))))) % 54.75/54.97 (assume @p4838 (forall @t5937 (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 @t5936) (and @t6225 @t6226 (forall @t8 (=> @t5838 (forall @t3022 (=> (tptp.hBOOL (tptp.hAPP @t3304 @t5503)) (tptp.hBOOL (tptp.hAPP @t4832 @t3014))))))))))) % 54.75/54.97 (assume @p4839 (forall (@list @t512 @t510 @t306) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) @t306) @t6214) (tptp.c_List_Oupt @t571 @t512)))) % 54.75/54.97 (assume @p4840 (forall @t5990 (=> @t664 (=> @t6215 (tptp.c_List_Olinorder__class_Osorted @t289 @t6031))))) % 54.75/54.97 (assume @p4841 (forall @t545 (=> @t516 (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) @t6214) @t510)))) % 54.75/54.97 (assume @p4842 (forall @t5545 (=> @t704 (=> @t6225 (tptp.c_List_Olinorder__class_Osorted @t14 @t5898))))) % 54.75/54.97 (assume @p4843 (forall @t545 (and @t6227 (=> (not @t516) @t6219)))) % 54.75/54.97 (assume @p4844 (forall @t545 @t6227)) % 54.75/54.97 (assume @p4845 (forall @t3106 (= @t6228 @t3104))) % 54.75/54.97 (assume @p4846 (forall @t3106 (= @t3104 @t6228))) % 54.75/54.97 (assume @p4847 (forall @t5937 (=> @t704 (=> @t6225 (=> @t5544 (=> @t6226 (=> @t5951 @t6229))))))) % 54.75/54.97 (assume @p4848 (forall @t5546 (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 @t5612) @t6225)))) % 54.75/54.97 (assume @p4849 (forall @t545 (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) @t6214)))) % 54.75/54.97 (assume @p4850 (forall (@list @t181 @t5552 @t289) (=> @t664 (=> @t6215 (tptp.c_List_Olinorder__class_Osorted @t289 (tptp.c_List_Oremove1 @t289 @t181 @t5552)))))) % 54.75/54.97 (assume @p4851 (forall @t545 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat @t6214))) % 54.75/54.97 (assume @p4852 (forall @t545 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint @t5539))) % 54.75/54.97 (assume @p4853 (forall @t379 (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat @t2999) @t6230))) % 54.75/54.97 (assume @p4854 (forall @t946 (= (tptp.c_List_Oupt @t510 @t19) @t6218))) % 54.75/54.97 (assume @p4855 (forall @t5990 (=> @t664 (=> @t6215 (tptp.c_List_Olinorder__class_Osorted @t289 @t5966))))) % 54.75/54.97 (assume @p4856 (forall @t5950 (=> @t664 (=> @t6215 (tptp.c_List_Olinorder__class_Osorted @t289 @t6073))))) % 54.75/54.97 (assume @p4857 (forall @t372 (and (=> @t6234 (= @t6233 (tptp.hAPP (tptp.hAPP @t6216 @t6232) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc @t6232) @t6231)))) (=> (not @t6234) (= @t6233 @t6218))))) % 54.75/54.97 (assume @p4858 (forall (@list @t5451 @t16 @t2 @t420 @t14) (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5456 @t5617)) @t6213)))) % 54.75/54.97 (assume @p4859 (forall @t6235 (=> @t704 (=> @t6213 (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5456 (tptp.c_List_Oremove1 @t420 @t16 @t5451))))))) % 54.75/54.97 (assume @p4860 (forall @t379 (= (tptp.hAPP @t6186 @t6230) (tptp.c_List_Oupt @t519 @t436)))) % 54.75/54.97 (assume @p4861 (forall @t6235 (=> @t704 (=> @t6213 (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5456 @t5871)))))) % 54.75/54.97 (assume @p4862 (forall @t545 (=> @t516 (= (tptp.c_List_Olast tptp.tc_Nat_Onat @t6214) (tptp.hAPP @t1489 @t821))))) % 54.75/54.97 (assume @p4863 (forall (@list @t16 @t87 @t5451 @t2 @t420 @t14) (=> @t704 (=> @t6213 (=> @t2739 (= (tptp.hAPP @t6202 @t5617) (tptp.hAPP @t5616 @t6203))))))) % 54.75/54.97 (assume @p4864 (forall @t5452 (= (tptp.hAPP (tptp.hAPP @t6236 @t5828) @t6207) @t5451))) % 54.75/54.97 (assume @p4865 (forall @t523 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t102 @t347) (tptp.hAPP @t5784 (tptp.c_List_Oupt @t102 @t519))))) % 54.75/54.97 (assume @p4866 (forall @t504 (= @t2780 (tptp.hAPP @t5784 @t6237)))) % 54.75/54.97 (assume @p4867 (forall @t2956 (=> @t2866 (= @t6240 @t6239)))) % 54.75/54.97 (assume @p4868 (forall @t2956 (=> @t2866 (= @t6239 @t6240)))) % 54.75/54.97 (assume @p4869 (forall (@list @t512 @t359 @t510) (=> (tptp.hBOOL (tptp.hAPP @t537 @t512)) (= (tptp.hAPP (tptp.hAPP @t5852 @t6214) @t359) @t536)))) % 54.75/54.97 (assume @p4870 (forall @t523 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat @t102 @t347) (tptp.hAPP @t5784 (tptp.c_List_Oupt @t436 @t519))))) % 54.75/54.97 (assume @p4871 (forall (@list @t94 @t97 @t14) (=> @t704 (= (tptp.c_List_Olinorder__class_Osorted @t14 (tptp.hAPP @t5703 @t94)) (and (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t3086 (tptp.hAPP @t5484 @t94))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t97) @t4)))) (tptp.c_List_Olinorder__class_Osorted @t14 @t94)))))) % 54.75/54.97 (assume @p4872 (forall @t523 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat @t102 @t347) (tptp.hAPP @t5784 (tptp.c_List_Oupt @t436 @t347))))) % 54.75/54.97 (assume @p4873 (forall (@list @t2 @t14 @t347 @t102 @t434) (=> (tptp.hBOOL (tptp.hAPP @t1536 @t1529)) (= (tptp.hAPP (tptp.hAPP @t5827 @t6238) @t434) (tptp.hAPP @t2 (tptp.hAPP @t352 @t434)))))) % 54.75/54.97 (assume @p4874 (forall @t2584 (=> @t704 (=> @t3415 (and (= (tptp.hAPP @t5484 @t5557) @t1314) (tptp.c_List_Olinorder__class_Osorted @t14 @t5557) (tptp.hBOOL (tptp.hAPP @t5525 @t5557))))))) % 54.75/54.97 (assume @p4875 (forall @t504 (= @t3138 (tptp.hAPP @t5784 (tptp.c_List_Oupt @t19 @t436))))) % 54.75/54.97 (assume @p4876 (forall @t6093 (=> @t704 (=> @t5549 (=> @t6225 (= (tptp.hAPP (tptp.hAPP @t5588 @t54) @t6205) @t5451)))))) % 54.75/54.97 (assume @p4877 (forall @t5452 (=> @t704 (= @t6225 (forall @t569 (=> @t5842 (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t1234 @t567)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1025 @t5836) @t5841)))))))))) % 54.75/54.97 (assume @p4878 (forall @t6242 (=> @t664 (=> @t6215 (=> @t989 (=> @t6241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t5848) @t5879)))))))) % 54.75/54.97 (assume @p4879 (forall @t5460 (=> @t5610 (=> @t5505 (=> @t6206 (=> (tptp.hBOOL (tptp.hAPP @t5528 @t5462)) (=> (tptp.c_List_Olinorder__class_Osorted @t420 @t5461) (=> (tptp.hBOOL (tptp.hAPP @t5528 @t5461)) @t6229)))))))) % 54.75/54.97 (assume @p4880 (forall (@list @t434 @t5451 @t1314 @t14) (= (tptp.hAPP @t6191 (tptp.hAPP @t6211 (tptp.hAPP @t6187 (tptp.c_List_Oupt @t434 (tptp.hAPP @t1532 @t5618))))) (tptp.hAPP @t6191 (tptp.hAPP (tptp.c_List_Ofilter @t6189 (tptp.hAPP (tptp.hAPP @t6210 (tptp.hAPP @t6209 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t6189 tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t2182 @t6189) @t316) @t6188)) @t434))) @t1314)) @t6208))))) % 54.75/54.97 (assume @p4881 (forall (@list @t102 @t14 @t5451) (=> (=> @t6245 @t376) (=> (forall @t1235 (=> (tptp.hBOOL (tptp.hAPP @t1603 @t6243)) (= (tptp.hAPP @t5597 (tptp.hAPP @t6244 @t1231)) @t102))) (= @t6173 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat @t5039) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t5854 @t5039) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5860 (tptp.tc_fun @t5854 @t5039) tptp.tc_Nat_Onat) @t6236) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t14) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t5039 @t5860 tptp.tc_Nat_Onat) @t5827) @t6244)))) (tptp.c_List_Oupt @t19 @t6243))) @t6237)))))) % 54.75/54.97 (assume @p4882 (forall @t6249 (=> (tptp.hBOOL (tptp.hAPP @t6248 @t6247)) (= (tptp.c_List_Otranspose @t14 @t6247) (tptp.c_List_Otranspose @t14 @t6137))))) % 54.75/54.97 (assume @p4883 (forall @t1799 (=> (tptp.hBOOL (tptp.hAPP @t6248 @t6182)) (= (tptp.c_List_Otranspose @t14 @t6182) @t6182)))) % 54.75/54.97 (assume @p4884 (forall @t6256 (=> @t6255 (=> @t6252 (= (tptp.hAPP @t6196 @t6251) @t6250))))) % 54.75/54.97 (assume @p4885 (forall @t6249 (= @t6259 (tptp.hAPP (tptp.hAPP @t6195 @t6063) @t6257)))) % 54.75/54.97 (assume @p4886 (forall @t2584 (tptp.c_Fun_Oinj__on @t5039 @t5039 @t6260 @t1314))) % 54.75/54.97 (assume @p4887 (forall @t6167 (= (tptp.hAPP @t6166 @t6261) (tptp.c_List_Oconcat @t14 (tptp.hAPP (tptp.hAPP @t6258 @t6166) @t5451))))) % 54.75/54.97 (assume @p4888 (forall @t6249 (= (tptp.hAPP @t5597 @t6262) (tptp.hAPP @t5787 (tptp.hAPP @t6253 @t6137))))) % 54.75/54.97 (assume @p4889 (forall @t5707 (= (tptp.hAPP @t6263 @t5695) (tptp.hAPP (tptp.hAPP @t5905 @t6264) @t5985)))) % 54.75/54.97 (assume @p4890 (forall (@list @t5453 @t659 @t5451 @t14) (= (= @t6266 @t5702) (= @t5451 (tptp.hAPP (tptp.hAPP @t5899 @t6265) @t5919))))) % 54.75/54.97 (assume @p4891 (forall @t5707 (= (tptp.c_List_Oconcat @t289 (tptp.hAPP (tptp.hAPP @t6184 @t288) @t5552)) (tptp.hAPP (tptp.hAPP @t5905 @t288) @t6267)))) % 54.75/54.97 (assume @p4892 (forall @t5546 (= (= @t5798 @t6266) @t6268))) % 54.75/54.97 (assume @p4893 (forall @t5545 (= (= @t6266 @t5798) @t6268))) % 54.75/54.97 (assume @p4894 (forall @t6249 (= (= @t5778 @t6262) @t6269))) % 54.75/54.97 (assume @p4895 (forall @t6249 (= (= @t6262 @t5778) @t6269))) % 54.75/54.97 (assume @p4896 (forall @t5452 (= (= @t6266 @t5778) @t5779))) % 54.75/54.97 (assume @p4897 (forall @t5452 (= (= @t5778 @t6266) @t5779))) % 54.75/54.97 (assume @p4898 (forall @t305 (= (tptp.c_List_Oconcat @t289 @t6177) @t5788))) % 54.75/54.97 (assume @p4899 (forall @t305 (= (tptp.hAPP @t6263 @t5788) @t5788))) % 54.75/54.97 (assume @p4900 (forall @t5791 (= (tptp.hAPP @t5456 (tptp.c_List_Oconcat @t420 @t5451)) (tptp.c_List_Oconcat @t14 @t6176)))) % 54.75/54.97 (assume @p4901 (forall @t5489 (= (tptp.hAPP @t6260 @t5458) (tptp.hAPP @t5456 @t6270)))) % 54.75/54.97 (assume @p4902 (forall @t5452 (= (tptp.hAPP @t6260 @t6261) (tptp.c_List_Oconcat @t14 (tptp.hAPP (tptp.hAPP @t6258 @t6260) (tptp.hAPP (tptp.c_List_Orev @t5039) @t5451)))))) % 54.75/54.97 (assume @p4903 (forall @t6249 (= @t6262 (tptp.hAPP (tptp.c_List_Ofoldl @t5039 @t5039 @t5899 @t5778) @t6137)))) % 54.75/54.97 (assume @p4904 (forall @t5452 (= @t6266 (tptp.hAPP (tptp.c_List_Ofoldl @t5039 @t14 @t5808 @t5778) @t5451)))) % 54.75/54.97 (assume @p4905 (forall (@list @t6137 @t5451 @t14) (= (tptp.hAPP (tptp.c_List_Ofoldl @t5039 @t5039 @t5899 @t5451) @t6137) (tptp.hAPP @t5922 @t6262)))) % 54.75/54.97 (assume @p4906 (forall @t5452 (= (tptp.hBOOL (tptp.hAPP @t5525 @t6266)) @t5544))) % 54.75/54.97 (assume @p4907 (forall @t5622 (= (tptp.c_List_Oconcat @t289 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend @t5602) @t5552) @t5562)) (tptp.hAPP (tptp.hAPP @t5905 @t6267) (tptp.c_List_Oconcat @t289 @t5562))))) % 54.75/54.97 (assume @p4908 (forall @t5622 (= (tptp.hAPP @t6263 @t5910) (tptp.hAPP (tptp.hAPP @t5905 (tptp.hAPP @t6263 @t5562)) @t6264)))) % 54.75/54.97 (assume @p4909 (forall @t5950 (= (tptp.hAPP @t5603 @t6264) @t5604))) % 54.75/54.97 (assume @p4910 (forall @t5950 (=> @t388 (= (tptp.hAPP @t5757 @t6264) @t5758)))) % 54.75/54.97 (assume @p4911 (forall @t5950 (= (tptp.hAPP @t6263 @t6264) @t5552))) % 54.75/54.97 (assume @p4912 (forall @t5937 (= (= @t6266 @t5453) (= @t5451 @t6265)))) % 54.75/54.97 (assume @p4913 (forall @t5937 (= (= @t6266 @t6265) @t5454))) % 54.75/54.97 (assume @p4914 (forall (@list @t5451 @t54 @t2 @t420 @t14) (= @t6091 (tptp.c_List_Ofoldr @t420 @t14 (tptp.hAPP (tptp.c_COMBC @t14 @t420 @t14) @t2) @t6270 @t54)))) % 54.75/54.97 (assume @p4915 (forall (@list @t54 @t5451 @t2 @t14 @t420) (= @t5697 (tptp.hAPP (tptp.c_List_Ofoldl @t14 @t420 (tptp.hAPP @t2890 @t2) @t54) @t6270)))) % 54.75/54.97 (assume @p4916 (forall @t5452 (= (tptp.hAPP @t5484 @t6261) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5039 @t2359) @t6180) @t5484)))) % 54.75/54.97 (assume @p4917 (forall @t5452 (= (tptp.hAPP @t5484 @t6266) @t5485))) % 54.75/54.97 (assume @p4918 (forall @t5567 (=> (= @t5604 @t5601) (= (tptp.hAPP (tptp.hAPP @t5563 @t6264) (tptp.hAPP @t6260 @t5562)) (tptp.hAPP (tptp.c_List_Orev @t5566) @t5565))))) % 54.75/54.97 (assume @p4919 (forall @t6154 (= (tptp.hAPP @t6260 @t6152) (tptp.hAPP @t6149 @t6266)))) % 54.75/54.97 (assume @p4920 (forall @t6070 (=> @t6061 (= (tptp.hAPP @t6057 @t6264) @t6110)))) % 54.75/54.97 (assume @p4921 (forall @t6070 (=> @t6061 (= (tptp.c_List_Olast @t289 @t6264) @t6066)))) % 54.75/54.97 (assume @p4922 (forall @t5452 (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP @t6254 (tptp.hAPP @t6253 @t6173))))) % 54.75/54.97 (assume @p4923 (forall @t6272 (= (tptp.hAPP @t6263 @t6039) (tptp.hAPP (tptp.hAPP @t5964 @t6271) @t6264)))) % 54.75/54.97 (assume @p4924 (forall @t6272 (= (tptp.hAPP @t6263 @t5978) (tptp.hAPP (tptp.hAPP @t6027 @t6271) @t6264)))) % 54.75/54.97 (assume @p4925 (forall @t5991 (= (tptp.hAPP @t6076 @t6264) (tptp.hAPP @t6263 (tptp.hAPP (tptp.c_List_Orotate @t289 (tptp.hAPP @t6032 @t6075)) @t5552))))) % 54.75/54.97 (assume @p4926 (forall @t6276 @t6275)) % 54.75/54.97 (assume @p4927 (forall @t6059 (=> @t5954 (= (tptp.hAPP (tptp.hAPP @t5829 @t6264) @t76) (tptp.hAPP @t5831 (tptp.hAPP @t6032 @t254)))))) % 54.75/54.97 (assume @p4928 (forall @t5937 (=> @t6279 (=> @t6278 (= @t6277 @t5454))))) % 54.75/54.97 (assume @p4929 (forall @t5937 (=> @t6277 (=> @t6278 (=> @t6279 @t5454))))) % 54.75/54.97 (assume @p4930 (forall (@list @t367 @t5552 @t289 @t359) (=> (tptp.hBOOL (tptp.hAPP @t532 @t5604)) (= (tptp.hAPP @t6263 (tptp.hAPP @t6111 @t367)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update @t289 @t6264) (tptp.hAPP (tptp.hAPP @t1445 (tptp.hAPP @t6032 @t359)) @t821)) @t367))))) % 54.75/54.97 (assume @p4931 (forall @t5489 (= (tptp.c_List_Oconcat @t14 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap @t420 @t5039) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t420 @t5039 @t5039) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t14 @t5729 @t420) @t5685) @t2)) @t5778)) @t5451)) @t5458))) % 54.75/54.97 (assume @p4932 (forall @t6242 (=> @t664 (=> (tptp.c_List_Olinorder__class_Osorted @t289 @t6264) (=> @t989 (=> @t6241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t956 @t5879) @t5848)))))))) % 54.75/54.97 (assume @p4933 (forall @t6162 (=> @t704 (=> (tptp.c_List_Olinorder__class_Osorted @t14 @t6266) (and (=> @t5779 (= @t6280 @t659)) (=> @t5799 (= @t6280 (tptp.hAPP (tptp.hAPP @t2630 (tptp.hAPP @t5828 @t19)) @t659)))))))) % 54.75/54.97 (assume @p4934 (forall @t6276 (=> (tptp.hBOOL (tptp.hAPP @t6248 @t6274)) @t6275))) % 54.75/54.97 (assume @p4935 (forall @t5452 (=> @t6255 (and (=> @t6245 (= @t6199 @t19)) (=> (not @t6245) (= @t6199 (tptp.hAPP @t5597 (tptp.hAPP @t6244 @t19)))))))) % 54.75/54.97 (assume @p4936 (forall @t6256 (=> @t6255 (=> @t6252 (= (tptp.hAPP @t6172 @t6251) (tptp.hAPP @t5597 @t6250)))))) % 54.75/54.97 (assume @p4937 (forall @t6249 (= @t6273 (tptp.hAPP (tptp.hAPP @t6258 @t6080) @t6257)))) % 54.75/54.97 (assume @p4938 (forall @t5846 (=> @t6255 (=> @t6200 (=> (tptp.hBOOL (tptp.hAPP @t5844 (tptp.hAPP @t6172 @t6194))) (= (tptp.hAPP (tptp.hAPP @t5827 @t6198) @t1531) (tptp.hAPP (tptp.hAPP @t5827 (tptp.hAPP @t6244 @t1531)) @t434))))))) % 54.75/54.97 (assume @p4939 (forall @t5452 (=> @t6255 (= (tptp.c_List_Otranspose @t14 @t6173) (tptp.c_List_OtakeWhile @t5039 @t6169 @t5451))))) % 54.75/54.97 (assume @p4940 (= @t6218 (tptp.c_List_Oreturn__list @t5775))) % 54.75/54.97 (assume @p4941 (forall @t6151 (= (tptp.c_List_OtakeWhile @t14 @t87 @t5458) (tptp.hAPP @t5456 (tptp.c_List_OtakeWhile @t420 @t6147 @t5451))))) % 54.75/54.97 (assume @p4942 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p4943 (forall @t6285 (=> @t6284 (tptp.class_Lattices_Obounded__lattice @t6283)))) % 54.75/54.97 (assume @p4944 (forall @t6285 (=> (tptp.class_Complete__Lattice_Ocomplete__lattice @t6281) (tptp.class_Complete__Lattice_Ocomplete__lattice @t6283)))) % 54.75/54.97 (assume @p4945 (forall @t6285 (=> @t6284 (tptp.class_Lattices_Obounded__lattice__top @t6283)))) % 54.75/54.97 (assume @p4946 (forall @t6285 (=> @t6284 (tptp.class_Lattices_Obounded__lattice__bot @t6283)))) % 54.75/54.97 (assume @p4947 (forall @t6285 (=> @t6286 (tptp.class_Lattices_Osemilattice__sup @t6283)))) % 54.75/54.97 (assume @p4948 (forall @t6285 (=> @t6286 (tptp.class_Lattices_Osemilattice__inf @t6283)))) % 54.75/54.97 (assume @p4949 (forall @t6285 (=> (tptp.class_Lattices_Odistrib__lattice @t6281) (tptp.class_Lattices_Odistrib__lattice @t6283)))) % 54.75/54.97 (assume @p4950 (forall @t6285 (=> (tptp.class_Lattices_Oboolean__algebra @t6281) (tptp.class_Lattices_Oboolean__algebra @t6283)))) % 54.75/54.97 (assume @p4951 (forall @t6285 (=> (tptp.class_Orderings_Opreorder @t6281) (tptp.class_Orderings_Opreorder @t6283)))) % 54.75/54.97 (assume @p4952 (forall @t6289 (=> @t6288 (tptp.class_Finite__Set_Ofinite @t6283)))) % 54.75/54.97 (assume @p4953 (forall @t6285 (=> @t6286 (tptp.class_Lattices_Olattice @t6283)))) % 54.75/54.97 (assume @p4954 (forall @t6285 (=> (tptp.class_Orderings_Oorder @t6281) (tptp.class_Orderings_Oorder @t6283)))) % 54.75/54.97 (assume @p4955 (forall @t6285 (=> (tptp.class_Orderings_Otop @t6281) (tptp.class_Orderings_Otop @t6283)))) % 54.75/54.97 (assume @p4956 (forall @t6285 (=> (tptp.class_Orderings_Oord @t6281) (tptp.class_Orderings_Oord @t6283)))) % 54.75/54.97 (assume @p4957 (forall @t6285 (=> (tptp.class_Orderings_Obot @t6281) (tptp.class_Orderings_Obot @t6283)))) % 54.75/54.97 (assume @p4958 (forall @t6285 (=> (tptp.class_Groups_Ouminus @t6281) (tptp.class_Groups_Ouminus @t6283)))) % 54.75/54.97 (assume @p4959 (forall @t6285 (=> (tptp.class_Groups_Ominus @t6281) (tptp.class_Groups_Ominus @t6283)))) % 54.75/54.97 (assume @p4960 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4961 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4962 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4963 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4964 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4965 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4966 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4967 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4968 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4969 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4970 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4971 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4972 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4973 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4974 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4975 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4976 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4977 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4978 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4979 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4980 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4981 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4982 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4983 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4984 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4985 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4986 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4987 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4988 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4989 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4990 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4991 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4992 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4993 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4994 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4995 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4996 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4997 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4998 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p4999 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5000 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5001 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5002 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5003 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5004 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5005 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5006 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5007 (tptp.class_Smallcheck_Osmall tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5008 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5009 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5010 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5011 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5012 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5013 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5014 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5015 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5016 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5017 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5018 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5019 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5020 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5021 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5022 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5023 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5024 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5025 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5026 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5027 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5028 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5029 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5030 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5031 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 54.75/54.97 (assume @p5032 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5033 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5034 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5035 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5036 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5037 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5038 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5039 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5040 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5041 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5042 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5043 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5044 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5045 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5046 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5047 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5048 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5049 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5050 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5051 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5052 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5053 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5054 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5055 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5056 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5057 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5059 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5060 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5061 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5062 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5063 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5064 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5065 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5066 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5067 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5068 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5070 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5071 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5072 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5073 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5074 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5075 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5076 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5077 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5079 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 54.75/54.97 (assume @p5080 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5081 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5082 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5083 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5084 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5085 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5088 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5089 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5090 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5091 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5093 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5094 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5095 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 54.75/54.97 (assume @p5096 (tptp.class_Finite__Set_Ofinite tptp.tc_String_Ochar)) % 54.75/54.97 (assume @p5097 (forall @t6289 (=> @t6288 (tptp.class_Finite__Set_Ofinite (tptp.tc_sum @t6282 @t6281))))) % 54.75/54.97 (assume @p5098 (forall (@list @t6281) (=> @t6287 (tptp.class_Finite__Set_Ofinite (tptp.tc_Option_Ooption @t6281))))) % 54.75/54.97 (assume @p5099 (tptp.class_Finite__Set_Ofinite tptp.tc_String_Onibble)) % 54.75/54.97 (assume @p5100 (forall @t6289 (=> @t6288 (tptp.class_Finite__Set_Ofinite @t6290)))) % 54.75/54.97 (assume @p5101 (forall @t6289 (=> (and (tptp.class_Smallcheck_Osmall @t6282) (tptp.class_Smallcheck_Osmall @t6281)) (tptp.class_Smallcheck_Osmall @t6290)))) % 54.75/54.97 (assume @p5102 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 54.75/54.97 (assume @p5103 (tptp.class_Smallcheck_Osmall tptp.tc_Product__Type_Ounit)) % 54.75/54.97 (assume @p5104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5105 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5106 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5107 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5108 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5109 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.97 (assume @p5110 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5111 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5112 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5113 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5114 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5115 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5116 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5117 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5118 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5119 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5120 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5121 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5122 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5123 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5124 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5125 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5126 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5127 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5128 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5129 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5130 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5131 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5132 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5133 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5134 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5135 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5136 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5137 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5138 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5139 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5140 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5141 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5142 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5143 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5144 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral)) % 54.75/54.98 (assume @p5145 (forall (@list @t223 @t289) (= (tptp.hAPP (tptp.c_COMBI @t289) @t223) @t223))) % 54.75/54.98 (assume @p5146 (forall (@list @t6291 @t223 @t14 @t289) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t289 @t14) @t223) @t6291) @t223))) % 54.75/54.98 (assume @p5147 (forall (@list @t2461 @t2599 @t87 @t579 @t14 @t420) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t3053 @t87) @t2599) @t2461) (tptp.hAPP @t87 @t6292)))) % 54.75/54.98 (assume @p5148 (forall @t6294 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2870 @t87) @t2599) @t2461) (tptp.hAPP @t6293 @t2599)))) % 54.75/54.98 (assume @p5149 (forall @t6294 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t420 @t579 @t14) @t87) @t2599) @t2461) (tptp.hAPP @t6293 @t6292)))) % 54.75/54.98 (assume @p5150 (forall @t663 (or (not @t6295) @t678))) % 54.75/54.98 (assume @p5151 (forall @t663 (or @t703 @t6295))) % 54.75/54.98 (assume @p5152 (not (tptp.hBOOL tptp.c_fFalse))) % 54.75/54.98 (assume @p5153 (tptp.hBOOL tptp.c_fTrue)) % 54.75/54.98 (assume @p5154 (forall @t1145 (or (not @t6298) @t6297))) % 54.75/54.98 (assume @p5155 (forall @t1145 (or (not @t6297) @t6298))) % 54.75/54.98 (assume @p5156 (forall @t6302 (or @t6297 @t6301 @t6299))) % 54.75/54.98 (assume @p5157 (forall @t6302 (or @t6303 @t6296))) % 54.75/54.98 (assume @p5158 (forall @t6302 (or @t6303 @t6300))) % 54.75/54.98 (assume @p5159 (forall @t6302 (or @t6297 @t6304))) % 54.75/54.98 (assume @p5160 (forall @t6305 (or @t6301 @t6304))) % 54.75/54.98 (assume @p5161 (forall @t6302 (or (not @t6304) @t6296 @t6300))) % 54.75/54.98 (assume @p5162 (forall @t6302 (or @t6296 @t6306))) % 54.75/54.98 (assume @p5163 (forall @t6305 (or @t6301 @t6306))) % 54.75/54.98 (assume @p5164 (forall @t6302 (or (not @t6306) @t6297 @t6300))) % 54.75/54.98 (assume @p5165 @t6314) % 54.75/54.98 (assume @p5166 true) % 54.75/54.98 (step @p5167 :rule refl :args (@t121)) % 54.75/54.98 (step @p5168 :rule refl :args (@t176)) % 54.75/54.98 (step @p5169 :rule refl :args (@t24)) % 54.75/54.98 (step @p5170 :rule refl :args (@t223)) % 54.75/54.98 (step @p5171 :rule cong :premises (@p4243 @p5170) :args (@t224)) % 54.75/54.98 (step @p5172 :rule refl :args (@t221)) % 54.75/54.98 (step @p5173 :rule cong :premises (@p5172 @p5171) :args (@t225)) % 54.75/54.98 (step @p5174 :rule cong :premises (@p5173 @p5169 @p5168 @p5167) :args (@t275)) % 54.75/54.98 (step @p5175 :rule cong :premises (@p5174) :args (@t276)) % 54.75/54.98 (step @p5176 :rule refl :args (@t6315)) % 54.75/54.98 (step @p5177 :rule nary_cong :premises (@p5176 @p5175) :args (@t6316)) % 54.75/54.98 (step @p5178 :rule cong :premises (@p5177) :args (@t6317)) % 54.75/54.98 (step @p5179 :rule cong :premises (@p5178) :args (@t6318)) % 54.75/54.98 (step @p5180 :rule refl :args (@t6319)) % 54.75/54.98 (step @p5181 :rule nary_cong :premises (@p5180 @p5179) :args (@t6320)) % 54.75/54.98 (step @p5182 :rule cong :premises (@p5181) :args ((forall @t283 @t6320))) % 54.75/54.98 (step @p5183 :rule bool-impl-elim :args (@t281 @t6318)) % 54.75/54.98 (step @p5184 :rule cong :premises (@p5183) :args ((forall @t283 (=> @t281 @t6318)))) % 54.75/54.98 (step @p5185 :rule bool-impl-elim :args (@t278 @t276)) % 54.75/54.98 (step @p5186 :rule cong :premises (@p5185) :args (@t279)) % 54.75/54.98 (step @p5187 :rule cong :premises (@p5186) :args (@t280)) % 54.75/54.98 (step @p5188 :rule refl :args (@t281)) % 54.75/54.98 (step @p5189 :rule cong :premises (@p5188 @p5187) :args (@t282)) % 54.75/54.98 (step @p5190 :rule cong :premises (@p5189) :args (@t284)) % 54.75/54.98 (step @p5191 :rule trans :premises (@p5190 @p5184)) % 54.75/54.98 (step @p5192 :rule trans :premises (@p5191 @p5182)) % 54.75/54.98 (step @p5193 :rule eq_resolve :premises (@p191 @p5192)) % 54.75/54.98 (step @p5194 :rule instantiate :premises (@p5193) :args ((@list @t6329 @t19 @t6328 tptp.v_pn))) % 54.75/55.01 (step @p5195 :rule aci_norm :args ((= @t6331 @t6325))) % 54.75/55.01 (step @p5196 :rule cong :premises (@p5195) :args (@t6332)) % 54.75/55.01 (step @p5197 :rule quant-merge-prenex :args ((= (forall @t3973 @t6334) @t6332))) % 54.75/55.01 (step @p5198 :rule alpha_equiv :args (@t6335 (@list @t6321) (@list @t3969))) % 54.75/55.01 (step @p5199 :rule refl :args (@t6324)) % 54.75/55.01 (step @p5200 :rule nary_cong :premises (@p5199 @p5198) :args (@t6336)) % 54.75/55.01 (step @p5201 :rule quant-miniscope-or :args ((= @t6334 @t6336))) % 54.75/55.01 (step @p5202 :rule trans :premises (@p5201 @p5200)) % 54.75/55.01 (step @p5203 :rule symm :premises (@p5202)) % 54.75/55.01 (step @p5204 :rule cong :premises (@p5203) :args ((forall @t3973 (or @t6324 @t6337)))) % 54.75/55.01 (step @p5205 :rule trans :premises (@p5204 @p5197)) % 54.75/55.01 (step @p5206 :rule trans :premises (@p5205 @p5196)) % 54.75/55.01 (step @p5207 :rule bool-impl-elim :args (@t6311 @t6337)) % 54.75/55.01 (step @p5208 :rule cong :premises (@p5207) :args ((forall @t3973 (=> @t6311 @t6337)))) % 54.75/55.01 (step @p5209 :rule trans :premises (@p5208 @p5206)) % 54.75/55.01 (step @p5210 :rule bool-impl-elim :args (@t6309 @t6307)) % 54.75/55.01 (step @p5211 :rule cong :premises (@p5210) :args (@t6310)) % 54.75/55.01 (step @p5212 :rule refl :args (@t6311)) % 54.75/55.01 (step @p5213 :rule cong :premises (@p5212 @p5211) :args (@t6312)) % 54.75/55.01 (step @p5214 :rule cong :premises (@p5213) :args (@t6313)) % 54.75/55.01 (step @p5215 :rule trans :premises (@p5214 @p5209)) % 54.75/55.01 (step @p5216 :rule cong :premises (@p5215) :args (@t6314)) % 54.75/55.01 (step @p5217 :rule eq_resolve :premises (@p5165 @p5216)) % 54.75/55.01 (step @p5218 :rule skolemize :premises (@p5217)) % 54.75/55.01 (step @p5219 :rule bool-double-not-elim :args (@t6338)) % 54.75/55.01 (step @p5220 :rule refl :args (@t6341)) % 54.75/55.01 (step @p5221 :rule nary_cong :premises (@p5220 @p5219) :args ((or @t6341 (not @t6340)))) % 54.75/55.01 (step @p5222 :rule cnf_or_neg :args (@t6341 1)) % 54.75/55.01 (step @p5223 :rule eq_resolve :premises (@p5222 @p5221)) % 54.75/55.01 (step @p5224 :rule reordering :premises (@p5223) :args ((or @t6338 @t6341))) % 54.75/55.01 (step @p5225 :rule chain_m_resolution :premises (@p5224 @p5218) :args (@t6338 @t6342 (@list @t6341))) % 54.75/55.01 (step @p5226 :rule cnf_or_pos :args (@t6346)) % 54.75/55.01 (step @p5227 :rule reordering :premises (@p5226) :args ((or @t6340 @t6345 (not @t6346)))) % 54.75/55.01 (step @p5228 :rule chain_m_resolution :premises (@p5227 @p5225 @p5194) :args (@t6345 @t6347 (@list @t6338 @t6346))) % 54.75/55.01 (step @p5229 :rule skolemize :premises (@p5228)) % 54.75/55.01 (step @p5230 :rule bool-double-not-elim :args (@t6349)) % 54.75/55.01 (step @p5231 :rule refl :args (@t6351)) % 54.75/55.01 (step @p5232 :rule nary_cong :premises (@p5231 @p5230) :args ((or @t6351 (not @t6350)))) % 54.75/55.01 (step @p5233 :rule cnf_or_neg :args (@t6351 0)) % 54.75/55.01 (step @p5234 :rule eq_resolve :premises (@p5233 @p5232)) % 54.75/55.01 (step @p5235 :rule reordering :premises (@p5234) :args ((or @t6349 @t6351))) % 54.75/55.01 (step @p5236 :rule chain_m_resolution :premises (@p5235 @p5229) :args (@t6349 @t6342 (@list @t6351))) % 54.75/55.01 (assume-push @p5243 @t309) % 54.75/55.01 (step @p5238 :rule instantiate :premises (@p203) :args ((@list @t6348))) % 54.75/55.01 (step-pop @p5244 :rule scope :premises (@p5238)) % 54.75/55.01 (step @p5239 :rule process_scope :premises (@p5244) :args (@t6350)) % 54.75/55.01 (step @p5241 :rule implies_elim :premises (@p5239)) % 54.75/55.01 (step @p5242 false :rule chain_m_resolution :premises (@p5241 @p5236 @p203) :args (false @t6347 (@list @t6349 @t309))) % 54.75/55.01 ) % 54.75/55.01 % SZS output end Proof % 54.75/55.01 % cvc5 exiting %------------------------------------------------------------------------------