%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT094-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:46:17 AM UTC 2026 % Result : Unsatisfiable 0.94s 1.18s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT094-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:25:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.46/0.83 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.18 % SZS status Unsatisfiable % 0.94/1.18 % SZS output start Proof % 1.01/1.23 ( % 1.01/1.23 (declare-sort $$unsorted 0) % 1.01/1.23 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_c____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot $$unsorted) % 1.01/1.23 (declare-const tptp.v_e____ $$unsorted) % 1.01/1.23 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.01/1.23 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_n____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.t_a $$unsorted) % 1.01/1.23 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_Lba____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Finite__Set_Osetprod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_d____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_Lab____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.tc_bool $$unsorted) % 1.01/1.23 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.t_b $$unsorted) % 1.01/1.23 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_r $$unsorted) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_P____ $$unsorted) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.tc_nat $$unsorted) % 1.01/1.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove $$unsorted) % 1.01/1.23 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Osgn__if (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop $$unsorted) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__join (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_h____ $$unsorted) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.01/1.23 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_b____ $$unsorted) % 1.01/1.23 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.v_a____ $$unsorted) % 1.01/1.23 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_OIf (-> $$unsorted $$unsorted)) % 1.01/1.23 (define @t1 () (@var "T_a" $$unsorted)) % 1.01/1.23 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 1.01/1.23 (define @t3 () (@var "V_b" $$unsorted)) % 1.01/1.23 (define @t4 () (@var "V_a" $$unsorted)) % 1.01/1.23 (define @t5 () (tptp.c_HOL_Oinverse__class_Odivide @t1)) % 1.01/1.23 (define @t6 () (tptp.hAPP @t5 @t4)) % 1.01/1.23 (define @t7 () (tptp.hAPP @t6 @t3)) % 1.01/1.23 (define @t8 () (tptp.c_lessequals @t7 @t2 @t1)) % 1.01/1.23 (define @t9 () (not @t8)) % 1.01/1.23 (define @t10 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.01/1.23 (define @t11 () (tptp.c_lessequals @t2 @t3 @t1)) % 1.01/1.23 (define @t12 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 1.01/1.23 (define @t13 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 1.01/1.23 (define @t14 () (@list @t1 @t3 @t4)) % 1.01/1.23 (define @t15 () (tptp.c_lessequals @t4 @t2 @t1)) % 1.01/1.23 (define @t16 () (@list @t1 @t4 @t3)) % 1.01/1.23 (define @t17 () (tptp.c_lessequals @t2 @t4 @t1)) % 1.01/1.23 (define @t18 () (@var "V_x" $$unsorted)) % 1.01/1.23 (define @t19 () (@var "V_y" $$unsorted)) % 1.01/1.23 (define @t20 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 1.01/1.23 (define @t21 () (tptp.hAPP @t20 @t19)) % 1.01/1.23 (define @t22 () (tptp.hAPP @t20 @t18)) % 1.01/1.23 (define @t23 () (tptp.hAPP @t22 @t19)) % 1.01/1.23 (define @t24 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 1.01/1.23 (define @t25 () (@list @t1 @t18 @t19)) % 1.01/1.23 (define @t26 () (tptp.hAPP @t20 @t3)) % 1.01/1.23 (define @t27 () (tptp.hAPP @t26 @t4)) % 1.01/1.23 (define @t28 () (tptp.hAPP @t20 @t4)) % 1.01/1.23 (define @t29 () (tptp.hAPP @t28 @t3)) % 1.01/1.23 (define @t30 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 1.01/1.23 (define @t31 () (@var "V_c" $$unsorted)) % 1.01/1.23 (define @t32 () (tptp.hAPP @t20 @t31)) % 1.01/1.23 (define @t33 () (tptp.hAPP @t32 @t4)) % 1.01/1.23 (define @t34 () (tptp.hAPP @t28 @t31)) % 1.01/1.23 (define @t35 () (@list @t1 @t4 @t31)) % 1.01/1.23 (define @t36 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.01/1.23 (define @t37 () (tptp.c_Orderings_Obot__class_Obot @t36)) % 1.01/1.23 (define @t38 () (@var "V_A" $$unsorted)) % 1.01/1.23 (define @t39 () (@list @t38 @t1)) % 1.01/1.23 (define @t40 () (@var "V_B" $$unsorted)) % 1.01/1.23 (define @t41 () (@list @t1 @t40)) % 1.01/1.23 (define @t42 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.01/1.23 (define @t43 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.01/1.23 (define @t44 () (@list @t1 @t18)) % 1.01/1.23 (define @t45 () (tptp.c_HOL_Otimes__class_Otimes @t1)) % 1.01/1.23 (define @t46 () (tptp.hAPP @t45 @t19)) % 1.01/1.23 (define @t47 () (tptp.hAPP @t45 @t18)) % 1.01/1.23 (define @t48 () (tptp.hAPP @t47 @t18)) % 1.01/1.23 (define @t49 () (tptp.hAPP (tptp.hAPP @t20 @t48) (tptp.hAPP @t46 @t19))) % 1.01/1.23 (define @t50 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 1.01/1.23 (define @t51 () (tptp.tc_prod @t1 @t1)) % 1.01/1.23 (define @t52 () (tptp.tc_fun @t51 tptp.tc_bool)) % 1.01/1.23 (define @t53 () (@var "V_s" $$unsorted)) % 1.01/1.23 (define @t54 () (@var "V_r" $$unsorted)) % 1.01/1.23 (define @t55 () (not (tptp.c_lessequals @t54 @t53 @t52))) % 1.01/1.23 (define @t56 () (tptp.c_Transitive__Closure_Ortrancl @t53 @t1)) % 1.01/1.23 (define @t57 () (tptp.c_Transitive__Closure_Ortrancl @t54 @t1)) % 1.01/1.23 (define @t58 () (tptp.c_lessequals @t57 @t56 @t52)) % 1.01/1.23 (define @t59 () (@list @t54 @t1 @t53)) % 1.01/1.23 (define @t60 () (not @t11)) % 1.01/1.23 (define @t61 () (tptp.c_HOL_Oone__class_Oone @t1)) % 1.01/1.23 (define @t62 () (tptp.hAPP @t5 @t61)) % 1.01/1.23 (define @t63 () (tptp.hAPP @t62 @t3)) % 1.01/1.23 (define @t64 () (tptp.c_lessequals @t2 @t63 @t1)) % 1.01/1.23 (define @t65 () (@list @t1 @t3)) % 1.01/1.23 (define @t66 () (tptp.c_Relation_Osym @t54 @t1)) % 1.01/1.23 (define @t67 () (not @t66)) % 1.01/1.23 (define @t68 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t53 @t52)) % 1.01/1.23 (define @t69 () (@var "T_b" $$unsorted)) % 1.01/1.23 (define @t70 () (tptp.c_Relation_ODomain @t54 @t1 @t69)) % 1.01/1.23 (define @t71 () (tptp.tc_prod @t1 @t69)) % 1.01/1.23 (define @t72 () (tptp.c_Pair @t4 @t3 @t1 @t69)) % 1.01/1.23 (define @t73 () (tptp.c_HOL_Ouminus__class_Ouminus @t36)) % 1.01/1.23 (define @t74 () (tptp.hAPP @t73 @t37)) % 1.01/1.23 (define @t75 () (@list @t1)) % 1.01/1.23 (define @t76 () (tptp.c_Set_Oinsert @t19 @t38 @t1)) % 1.01/1.23 (define @t77 () (tptp.hBOOL (tptp.hAPP @t76 @t18))) % 1.01/1.23 (define @t78 () (= @t19 @t18)) % 1.01/1.23 (define @t79 () (tptp.hBOOL (tptp.hAPP @t38 @t18))) % 1.01/1.23 (define @t80 () (@var "V_d" $$unsorted)) % 1.01/1.23 (define @t81 () (@var "V_e" $$unsorted)) % 1.01/1.23 (define @t82 () (tptp.hAPP @t45 @t3)) % 1.01/1.23 (define @t83 () (tptp.hAPP @t20 (tptp.hAPP @t82 @t81))) % 1.01/1.23 (define @t84 () (tptp.hAPP @t83 @t80)) % 1.01/1.23 (define @t85 () (tptp.hAPP @t45 @t4)) % 1.01/1.23 (define @t86 () (tptp.hAPP @t20 (tptp.hAPP @t85 @t81))) % 1.01/1.23 (define @t87 () (tptp.hAPP @t86 @t31)) % 1.01/1.23 (define @t88 () (tptp.c_lessequals @t87 @t84 @t1)) % 1.01/1.23 (define @t89 () (not @t88)) % 1.01/1.23 (define @t90 () (tptp.c_HOL_Ominus__class_Ominus @t1)) % 1.01/1.23 (define @t91 () (tptp.hAPP @t90 @t4)) % 1.01/1.23 (define @t92 () (tptp.hAPP @t91 @t3)) % 1.01/1.23 (define @t93 () (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP @t45 @t92) @t81)) @t31)) % 1.01/1.23 (define @t94 () (tptp.c_lessequals @t93 @t80 @t1)) % 1.01/1.23 (define @t95 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 1.01/1.23 (define @t96 () (@list @t1 @t4 @t3 @t81 @t31 @t80)) % 1.01/1.23 (define @t97 () (@list @t1 @t4 @t81 @t31 @t3 @t80)) % 1.01/1.23 (define @t98 () (tptp.hAPP (tptp.hAPP @t90 @t3) @t4)) % 1.01/1.23 (define @t99 () (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP @t45 @t98) @t81)) @t80)) % 1.01/1.23 (define @t100 () (tptp.c_lessequals @t31 @t99 @t1)) % 1.01/1.23 (define @t101 () (@list @t1 @t31 @t3 @t4 @t81 @t80)) % 1.01/1.23 (define @t102 () (not @t15)) % 1.01/1.23 (define @t103 () (not @t17)) % 1.01/1.23 (define @t104 () (not @t10)) % 1.01/1.23 (define @t105 () (@var "V_N" $$unsorted)) % 1.01/1.23 (define @t106 () (@var "V_n" $$unsorted)) % 1.01/1.23 (define @t107 () (not (tptp.c_lessequals @t106 @t105 tptp.tc_nat))) % 1.01/1.23 (define @t108 () (tptp.c_Power_Opower__class_Opower @t4 @t106 @t1)) % 1.01/1.23 (define @t109 () (tptp.c_Power_Opower__class_Opower @t4 @t105 @t1)) % 1.01/1.23 (define @t110 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 1.01/1.23 (define @t111 () (@list @t1 @t4 @t105 @t106)) % 1.01/1.23 (define @t112 () (tptp.c_Set_Oinsert @t18 @t38 @t1)) % 1.01/1.23 (define @t113 () (@list @t18 @t38 @t1)) % 1.01/1.23 (define @t114 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t1)) % 1.01/1.23 (define @t115 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1)) % 1.01/1.23 (define @t116 () (tptp.hAPP @t20 @t115)) % 1.01/1.23 (define @t117 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 1.01/1.23 (define @t118 () (tptp.tc_fun @t69 tptp.tc_bool)) % 1.01/1.23 (define @t119 () (tptp.c_Orderings_Obot__class_Obot @t118)) % 1.01/1.23 (define @t120 () (@var "V_R" $$unsorted)) % 1.01/1.23 (define @t121 () (@list @t120 @t69 @t1)) % 1.01/1.23 (define @t122 () (@var "V_m" $$unsorted)) % 1.01/1.23 (define @t123 () (tptp.c_lessequals @t122 @t106 tptp.tc_nat)) % 1.01/1.23 (define @t124 () (not @t123)) % 1.01/1.23 (define @t125 () (tptp.c_Power_Opower__class_Opower @t4 @t122 @t1)) % 1.01/1.23 (define @t126 () (@list @t1 @t4 @t122 @t106)) % 1.01/1.23 (define @t127 () (not (tptp.c_lessequals @t2 @t31 @t1))) % 1.01/1.23 (define @t128 () (tptp.c_lessequals @t3 @t4 @t1)) % 1.01/1.23 (define @t129 () (not @t128)) % 1.01/1.23 (define @t130 () (tptp.c_lessequals @t3 @t34 @t1)) % 1.01/1.23 (define @t131 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 1.01/1.23 (define @t132 () (@list @t1 @t3 @t4 @t31)) % 1.01/1.23 (define @t133 () (not (tptp.c_lessequals @t3 @t31 @t1))) % 1.01/1.23 (define @t134 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t40 @t36)) % 1.01/1.23 (define @t135 () (tptp.c_Set_Oinsert @t4 @t134 @t1)) % 1.01/1.23 (define @t136 () (tptp.c_Set_Oinsert @t4 @t40 @t1)) % 1.01/1.23 (define @t137 () (tptp.c_Set_Oinsert @t4 @t38 @t1)) % 1.01/1.23 (define @t138 () (@var "T_aa" $$unsorted)) % 1.01/1.23 (define @t139 () (@var "V_f" $$unsorted)) % 1.01/1.23 (define @t140 () (tptp.hAPP @t139 @t4)) % 1.01/1.23 (define @t141 () (@list @t4 @t38 @t1)) % 1.01/1.23 (define @t142 () (tptp.c_Orderings_Otop__class_Otop @t36)) % 1.01/1.23 (define @t143 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 1.01/1.23 (define @t144 () (@list @t139 @t69 @t1)) % 1.01/1.23 (define @t145 () (@list @t1 @t38)) % 1.01/1.23 (define @t146 () (@var "V_F" $$unsorted)) % 1.01/1.23 (define @t147 () (tptp.c_in @t1)) % 1.01/1.23 (define @t148 () (tptp.hAPP @t147 @t18)) % 1.01/1.23 (define @t149 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.01/1.23 (define @t150 () (tptp.hAPP @t139 @t18)) % 1.01/1.23 (define @t151 () (tptp.c_Finite__Set_Ofinite @t146 @t1)) % 1.01/1.23 (define @t152 () (not @t151)) % 1.01/1.23 (define @t153 () (not (= @t87 @t84))) % 1.01/1.23 (define @t154 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 1.01/1.23 (define @t155 () (tptp.c_lessequals @t40 @t38 @t36)) % 1.01/1.23 (define @t156 () (not @t155)) % 1.01/1.23 (define @t157 () (tptp.hAPP @t73 @t40)) % 1.01/1.23 (define @t158 () (tptp.hAPP @t73 @t38)) % 1.01/1.23 (define @t159 () (tptp.c_lessequals @t158 @t157 @t36)) % 1.01/1.23 (define @t160 () (@list @t1 @t38 @t40)) % 1.01/1.23 (define @t161 () (@list @t40 @t38 @t1)) % 1.01/1.23 (define @t162 () (tptp.c_lessequals @t38 @t40 @t36)) % 1.01/1.23 (define @t163 () (not @t162)) % 1.01/1.23 (define @t164 () (tptp.c_lessequals @t4 @t3 @t1)) % 1.01/1.23 (define @t165 () (not @t164)) % 1.01/1.23 (define @t166 () (tptp.c_HOL_Ouminus__class_Ouminus @t1)) % 1.01/1.23 (define @t167 () (tptp.hAPP @t166 @t4)) % 1.01/1.23 (define @t168 () (tptp.hAPP @t166 @t3)) % 1.01/1.23 (define @t169 () (tptp.c_lessequals @t168 @t167 @t1)) % 1.01/1.23 (define @t170 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.01/1.23 (define @t171 () (tptp.c_Finite__Set_Ofinite @t38 @t1)) % 1.01/1.23 (define @t172 () (not @t171)) % 1.01/1.23 (define @t173 () (not (tptp.c_Finite__Set_Ofinite @t40 @t1))) % 1.01/1.23 (define @t174 () (@var "V_g" $$unsorted)) % 1.01/1.23 (define @t175 () (tptp.c_Finite__Set_Osetsum @t1 @t69)) % 1.01/1.23 (define @t176 () (tptp.hAPP @t175 @t174)) % 1.01/1.23 (define @t177 () (tptp.c_HOL_Oplus__class_Oplus @t69)) % 1.01/1.23 (define @t178 () (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t176 @t38)) (tptp.hAPP @t176 @t40))) % 1.01/1.23 (define @t179 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t40 @t36)) % 1.01/1.23 (define @t180 () (tptp.hAPP @t176 @t179)) % 1.01/1.23 (define @t181 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t69))) % 1.01/1.23 (define @t182 () (not (tptp.c_lessequals @t61 @t4 @t1))) % 1.01/1.23 (define @t183 () (@list @t1 @t4 @t106)) % 1.01/1.23 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t1)) % 1.01/1.23 (define @t185 () (tptp.hAPP @t184 @t4)) % 1.01/1.23 (define @t186 () (tptp.hBOOL (tptp.hAPP @t185 @t3))) % 1.01/1.23 (define @t187 () (not @t186)) % 1.01/1.23 (define @t188 () (tptp.hAPP @t184 @t31)) % 1.01/1.23 (define @t189 () (not (tptp.hBOOL (tptp.hAPP @t188 @t80)))) % 1.01/1.23 (define @t190 () (tptp.hAPP @t184 @t2)) % 1.01/1.23 (define @t191 () (tptp.hBOOL (tptp.hAPP @t190 @t3))) % 1.01/1.23 (define @t192 () (not @t191)) % 1.01/1.23 (define @t193 () (tptp.hAPP @t82 @t80)) % 1.01/1.23 (define @t194 () (tptp.hAPP @t85 @t31)) % 1.01/1.23 (define @t195 () (tptp.hAPP @t184 @t194)) % 1.01/1.23 (define @t196 () (tptp.hBOOL (tptp.hAPP @t195 @t193))) % 1.01/1.23 (define @t197 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 1.01/1.23 (define @t198 () (@list @t1 @t4 @t31 @t3 @t80)) % 1.01/1.23 (define @t199 () (@list @t38 @t4 @t40 @t1)) % 1.01/1.23 (define @t200 () (@var "V_C" $$unsorted)) % 1.01/1.23 (define @t201 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t200 @t36)) % 1.01/1.23 (define @t202 () (@list @t4 @t40 @t1 @t200)) % 1.01/1.23 (define @t203 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t3 @t1)) % 1.01/1.23 (define @t204 () (not @t203)) % 1.01/1.23 (define @t205 () (tptp.hAPP @t45 @t31)) % 1.01/1.23 (define @t206 () (tptp.hAPP @t205 @t3)) % 1.01/1.23 (define @t207 () (tptp.hAPP @t205 @t4)) % 1.01/1.23 (define @t208 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t207 @t206 @t1)) % 1.01/1.23 (define @t209 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 1.01/1.23 (define @t210 () (@list @t1 @t31 @t4 @t3)) % 1.01/1.23 (define @t211 () (tptp.hAPP @t82 @t31)) % 1.01/1.23 (define @t212 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t194 @t211 @t1)) % 1.01/1.23 (define @t213 () (@list @t1 @t4 @t31 @t3)) % 1.01/1.23 (define @t214 () (@var "V_S" $$unsorted)) % 1.01/1.23 (define @t215 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t214 @t52)) % 1.01/1.23 (define @t216 () (tptp.c_Transitive__Closure_Ortrancl @t215 @t1)) % 1.01/1.23 (define @t217 () (tptp.c_Transitive__Closure_Ortrancl @t214 @t1)) % 1.01/1.23 (define @t218 () (tptp.c_Transitive__Closure_Ortrancl @t120 @t1)) % 1.01/1.23 (define @t219 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t218 @t217 @t52)) % 1.01/1.23 (define @t220 () (@list @t120 @t1 @t214)) % 1.01/1.23 (define @t221 () (not (tptp.c_lessequals @t31 @t2 @t1))) % 1.01/1.23 (define @t222 () (tptp.hAPP @t85 @t3)) % 1.01/1.23 (define @t223 () (tptp.hBOOL (tptp.hAPP @t190 @t222))) % 1.01/1.23 (define @t224 () (not @t223)) % 1.01/1.23 (define @t225 () (tptp.hAPP @t5 @t31)) % 1.01/1.23 (define @t226 () (tptp.hAPP @t225 @t3)) % 1.01/1.23 (define @t227 () (tptp.hAPP @t225 @t4)) % 1.01/1.23 (define @t228 () (tptp.c_lessequals @t227 @t226 @t1)) % 1.01/1.23 (define @t229 () (tptp.c_lessequals @t4 @t167 @t1)) % 1.01/1.23 (define @t230 () (not @t229)) % 1.01/1.23 (define @t231 () (@list @t1 @t4)) % 1.01/1.23 (define @t232 () (tptp.c_lessequals @t167 @t4 @t1)) % 1.01/1.23 (define @t233 () (not @t232)) % 1.01/1.23 (define @t234 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 1.01/1.23 (define @t235 () (tptp.hAPP @t166 @t61)) % 1.01/1.23 (define @t236 () (tptp.c_Power_Opower__class_Opower @t61 @t106 @t1)) % 1.01/1.23 (define @t237 () (@list @t1 @t106)) % 1.01/1.23 (define @t238 () (tptp.c_Finite__Set_Ofinite @t137 @t1)) % 1.01/1.23 (define @t239 () (= @t4 @t2)) % 1.01/1.23 (define @t240 () (not (tptp.class_Int_Onumber__ring @t1))) % 1.01/1.23 (define @t241 () (tptp.hAPP @t5 @t3)) % 1.01/1.23 (define @t242 () (tptp.hAPP @t241 @t31)) % 1.01/1.23 (define @t243 () (tptp.c_lessequals @t242 @t4 @t1)) % 1.01/1.23 (define @t244 () (not @t243)) % 1.01/1.23 (define @t245 () (tptp.hBOOL (tptp.hAPP @t190 @t31))) % 1.01/1.23 (define @t246 () (not @t245)) % 1.01/1.23 (define @t247 () (tptp.c_lessequals @t3 @t194 @t1)) % 1.01/1.23 (define @t248 () (not @t247)) % 1.01/1.23 (define @t249 () (@list @t1 @t3 @t31 @t4)) % 1.01/1.23 (define @t250 () (tptp.c_lessequals @t4 @t242 @t1)) % 1.01/1.23 (define @t251 () (not @t250)) % 1.01/1.23 (define @t252 () (tptp.c_lessequals @t194 @t3 @t1)) % 1.01/1.23 (define @t253 () (not @t252)) % 1.01/1.23 (define @t254 () (@list @t1 @t4 @t3 @t31)) % 1.01/1.23 (define @t255 () (not (tptp.hBOOL (tptp.hAPP @t190 @t19)))) % 1.01/1.23 (define @t256 () (@var "V_z" $$unsorted)) % 1.01/1.23 (define @t257 () (tptp.hAPP (tptp.hAPP @t45 @t256) @t19)) % 1.01/1.23 (define @t258 () (tptp.hAPP @t5 @t18)) % 1.01/1.23 (define @t259 () (tptp.hAPP @t258 @t19)) % 1.01/1.23 (define @t260 () (@list @t1 @t18 @t19 @t256)) % 1.01/1.23 (define @t261 () (@list @t1 @t256 @t18 @t19)) % 1.01/1.23 (define @t262 () (tptp.hBOOL (tptp.hAPP @t195 @t211))) % 1.01/1.23 (define @t263 () (not @t262)) % 1.01/1.23 (define @t264 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t207) @t206))) % 1.01/1.23 (define @t265 () (not @t264)) % 1.01/1.23 (define @t266 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 1.01/1.23 (define @t267 () (= @t4 @t3)) % 1.01/1.23 (define @t268 () (= @t4 @t168)) % 1.01/1.23 (define @t269 () (tptp.hAPP @t82 @t3)) % 1.01/1.23 (define @t270 () (tptp.hAPP @t85 @t4)) % 1.01/1.23 (define @t271 () (tptp.hAPP @t90 @t18)) % 1.01/1.23 (define @t272 () (tptp.hAPP @t271 @t18)) % 1.01/1.23 (define @t273 () (= @t272 @t2)) % 1.01/1.23 (define @t274 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.01/1.23 (define @t275 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 1.01/1.23 (define @t276 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t19 @t1)) % 1.01/1.23 (define @t277 () (not @t276)) % 1.01/1.23 (define @t278 () (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t1))) % 1.01/1.23 (define @t279 () (@var "V_G" $$unsorted)) % 1.01/1.23 (define @t280 () (tptp.c_Finite__Set_Ofinite @t279 @t1)) % 1.01/1.23 (define @t281 () (not @t280)) % 1.01/1.23 (define @t282 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t146 @t279 @t36) @t1)) % 1.01/1.23 (define @t283 () (@list @t146 @t279 @t1)) % 1.01/1.23 (define @t284 () (tptp.hAPP @t85 @t108)) % 1.01/1.23 (define @t285 () (tptp.hAPP @t45 @t108)) % 1.01/1.23 (define @t286 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 1.01/1.23 (define @t287 () (tptp.c_Relation_OImage @t120 @t40 @t69 @t1)) % 1.01/1.23 (define @t288 () (tptp.c_Relation_OImage @t120 @t38 @t69 @t1)) % 1.01/1.23 (define @t289 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t288 @t287 @t36)) % 1.01/1.23 (define @t290 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t40 @t118)) % 1.01/1.23 (define @t291 () (tptp.c_Relation_OImage @t120 @t290 @t69 @t1)) % 1.01/1.23 (define @t292 () (@list @t120 @t38 @t40 @t69 @t1)) % 1.01/1.23 (define @t293 () (tptp.c_lessequals @t200 @t38 @t36)) % 1.01/1.23 (define @t294 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t201 @t36)) % 1.01/1.23 (define @t295 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t134 @t200 @t36) @t294)) % 1.01/1.23 (define @t296 () (@list @t38 @t40 @t1 @t200)) % 1.01/1.23 (define @t297 () (not @t293)) % 1.01/1.23 (define @t298 () (tptp.c_Finite__Set_Osetprod @t139 @t38 @t1 @t69)) % 1.01/1.23 (define @t299 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t69))) % 1.01/1.23 (define @t300 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t242) @t4))) % 1.01/1.23 (define @t301 () (not @t300)) % 1.01/1.23 (define @t302 () (tptp.hBOOL (tptp.hAPP @t188 @t2))) % 1.01/1.23 (define @t303 () (not @t302)) % 1.01/1.23 (define @t304 () (tptp.hBOOL (tptp.hAPP @t195 @t3))) % 1.01/1.23 (define @t305 () (not @t304)) % 1.01/1.23 (define @t306 () (tptp.hBOOL (tptp.hAPP @t190 @t4))) % 1.01/1.23 (define @t307 () (not @t306)) % 1.01/1.23 (define @t308 () (tptp.hAPP @t184 @t3)) % 1.01/1.23 (define @t309 () (tptp.hBOOL (tptp.hAPP @t308 @t194))) % 1.01/1.23 (define @t310 () (not @t309)) % 1.01/1.23 (define @t311 () (tptp.hBOOL (tptp.hAPP @t185 @t242))) % 1.01/1.23 (define @t312 () (not @t311)) % 1.01/1.23 (define @t313 () (tptp.hBOOL (tptp.hAPP @t185 @t2))) % 1.01/1.23 (define @t314 () (not @t313)) % 1.01/1.23 (define @t315 () (tptp.hAPP (tptp.hAPP @t20 @t61) @t61)) % 1.01/1.23 (define @t316 () (tptp.hAPP @t20 @t122)) % 1.01/1.23 (define @t317 () (@list @t1 @t122)) % 1.01/1.23 (define @t318 () (= @t19 @t2)) % 1.01/1.23 (define @t319 () (not (tptp.c_lessequals @t2 @t18 @t1))) % 1.01/1.23 (define @t320 () (not (tptp.c_lessequals @t2 @t19 @t1))) % 1.01/1.23 (define @t321 () (not (= @t23 @t2))) % 1.01/1.23 (define @t322 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 1.01/1.23 (define @t323 () (= @t18 @t2)) % 1.01/1.23 (define @t324 () (tptp.hAPP @t28 @t4)) % 1.01/1.23 (define @t325 () (tptp.c_Finite__Set_Ocard @t112 @t1)) % 1.01/1.23 (define @t326 () (tptp.c_Finite__Set_Ocard @t38 @t1)) % 1.01/1.23 (define @t327 () (tptp.hAPP @t6 @t31)) % 1.01/1.23 (define @t328 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 1.01/1.23 (define @t329 () (tptp.hBOOL (tptp.hAPP @t188 @t99))) % 1.01/1.23 (define @t330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t87) @t84))) % 1.01/1.23 (define @t331 () (not @t330)) % 1.01/1.23 (define @t332 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t93) @t80))) % 1.01/1.23 (define @t333 () (= @t134 @t37)) % 1.01/1.23 (define @t334 () (not @t333)) % 1.01/1.23 (define @t335 () (@list @t69 @t38 @t40 @t1 @t174)) % 1.01/1.23 (define @t336 () (= @t3 @t2)) % 1.01/1.23 (define @t337 () (not (= @t222 @t2))) % 1.01/1.23 (define @t338 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 1.01/1.23 (define @t339 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 1.01/1.23 (define @t340 () (tptp.hAPP @t45 @t2)) % 1.01/1.23 (define @t341 () (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP @t340 @t31)) @t31)) % 1.01/1.23 (define @t342 () (@list @t1 @t31)) % 1.01/1.23 (define @t343 () (tptp.c_Power_Opower__class_Opower @t3 @t106 @t1)) % 1.01/1.23 (define @t344 () (tptp.hAPP @t184 @t108)) % 1.01/1.23 (define @t345 () (tptp.hBOOL (tptp.hAPP @t344 @t343))) % 1.01/1.23 (define @t346 () (@list @t1 @t4 @t3 @t106)) % 1.01/1.23 (define @t347 () (tptp.c_Wellfounded_Owf @t120 @t1)) % 1.01/1.23 (define @t348 () (not @t347)) % 1.01/1.23 (define @t349 () (tptp.c_Wellfounded_Owf @t215 @t1)) % 1.01/1.23 (define @t350 () (@list @t120 @t214 @t1)) % 1.01/1.23 (define @t351 () (tptp.hBOOL (tptp.hAPP @t179 @t18))) % 1.01/1.23 (define @t352 () (tptp.hBOOL (tptp.hAPP @t40 @t18))) % 1.01/1.23 (define @t353 () (@list @t40 @t18 @t38 @t1)) % 1.01/1.23 (define @t354 () (not @t352)) % 1.01/1.23 (define @t355 () (@list @t38 @t40 @t1 @t18)) % 1.01/1.23 (define @t356 () (not @t79)) % 1.01/1.23 (define @t357 () (tptp.c_Wellfounded_Owf @t54 @t1)) % 1.01/1.23 (define @t358 () (not @t357)) % 1.01/1.23 (define @t359 () (tptp.c_Relation_ODomain @t54 @t1 @t1)) % 1.01/1.23 (define @t360 () (not (= @t29 @t2))) % 1.01/1.23 (define @t361 () (tptp.c_Relation_Osingle__valued @t54 @t1 @t69)) % 1.01/1.23 (define @t362 () (not @t361)) % 1.01/1.23 (define @t363 () (@var "T_c" $$unsorted)) % 1.01/1.23 (define @t364 () (tptp.c_Relation_Orel__comp @t54 @t53 @t1 @t69 @t363)) % 1.01/1.23 (define @t365 () (tptp.c_Relation_Orefl__on @t38 @t54 @t1)) % 1.01/1.23 (define @t366 () (not @t365)) % 1.01/1.23 (define @t367 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t256 @t1)) % 1.01/1.23 (define @t368 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t367 @t1)) % 1.01/1.23 (define @t369 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t19 @t1)) % 1.01/1.23 (define @t370 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t369 @t256 @t1) @t368)) % 1.01/1.23 (define @t371 () (not (tptp.class_Lattices_Olattice @t1))) % 1.01/1.23 (define @t372 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t256 @t1)) % 1.01/1.23 (define @t373 () (= @t368 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t372 @t1))) % 1.01/1.23 (define @t374 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 1.01/1.23 (define @t375 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t200 @t36)) % 1.01/1.23 (define @t376 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t375 @t36)) % 1.01/1.23 (define @t377 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t200 @t36)) % 1.01/1.23 (define @t378 () (@list @t38 @t40 @t200 @t1)) % 1.01/1.23 (define @t379 () (tptp.c_Finite__Set_Ofinite @t142 @t1)) % 1.01/1.23 (define @t380 () (not @t379)) % 1.01/1.23 (define @t381 () (tptp.c_Finite__Set_Ocard @t142 @t1)) % 1.01/1.23 (define @t382 () (tptp.c_HOL_Oord__class_Oless tptp.tc_nat)) % 1.01/1.23 (define @t383 () (tptp.hAPP @t382 @t149)) % 1.01/1.23 (define @t384 () (@var "V_w" $$unsorted)) % 1.01/1.23 (define @t385 () (= @t19 @t256)) % 1.01/1.23 (define @t386 () (tptp.hAPP @t47 @t19)) % 1.01/1.23 (define @t387 () (tptp.hAPP @t45 @t384)) % 1.01/1.23 (define @t388 () (tptp.hAPP @t47 @t256)) % 1.01/1.23 (define @t389 () (tptp.hAPP @t387 @t19)) % 1.01/1.23 (define @t390 () (= @t31 @t80)) % 1.01/1.23 (define @t391 () (tptp.hAPP @t20 @t194)) % 1.01/1.23 (define @t392 () (not @t282)) % 1.01/1.23 (define @t393 () (tptp.hBOOL (tptp.hAPP @t308 @t2))) % 1.01/1.23 (define @t394 () (not @t393)) % 1.01/1.23 (define @t395 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t29) @t2))) % 1.01/1.23 (define @t396 () (tptp.c_Relation_OId @t1)) % 1.01/1.23 (define @t397 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t396 @t52)) % 1.01/1.23 (define @t398 () (@list @t1 @t54)) % 1.01/1.23 (define @t399 () (tptp.hAPP @t340 @t2)) % 1.01/1.23 (define @t400 () (tptp.hAPP (tptp.hAPP @t20 @t399) @t399)) % 1.01/1.23 (define @t401 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t40 @t1) @t143))) % 1.01/1.23 (define @t402 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t167 @t1)) % 1.01/1.23 (define @t403 () (= @t256 @t2)) % 1.01/1.23 (define @t404 () (tptp.hAPP @t46 @t256)) % 1.01/1.23 (define @t405 () (tptp.hAPP @t20 @t388)) % 1.01/1.23 (define @t406 () (tptp.hAPP (tptp.hAPP @t5 @t384) @t256)) % 1.01/1.23 (define @t407 () (tptp.hAPP @t20 @t259)) % 1.01/1.23 (define @t408 () (@list @t1 @t18 @t19 @t384 @t256)) % 1.01/1.23 (define @t409 () (@var "V_ry" $$unsorted)) % 1.01/1.23 (define @t410 () (@var "V_ly" $$unsorted)) % 1.01/1.23 (define @t411 () (tptp.hAPP @t45 @t410)) % 1.01/1.23 (define @t412 () (@var "V_rx" $$unsorted)) % 1.01/1.23 (define @t413 () (@var "V_lx" $$unsorted)) % 1.01/1.23 (define @t414 () (tptp.hAPP @t45 @t413)) % 1.01/1.23 (define @t415 () (tptp.hAPP @t45 (tptp.hAPP @t414 @t412))) % 1.01/1.23 (define @t416 () (tptp.hAPP @t45 @t412)) % 1.01/1.23 (define @t417 () (tptp.hAPP @t416 @t409)) % 1.01/1.23 (define @t418 () (tptp.hAPP @t45 (tptp.hAPP @t414 @t410))) % 1.01/1.23 (define @t419 () (tptp.hAPP @t418 @t417)) % 1.01/1.23 (define @t420 () (@list @t1 @t413 @t410 @t412 @t409)) % 1.01/1.23 (define @t421 () (= @t31 @t2)) % 1.01/1.23 (define @t422 () (tptp.hAPP (tptp.hAPP @t45 @t242) @t31)) % 1.01/1.23 (define @t423 () (@list @t1 @t3 @t31)) % 1.01/1.23 (define @t424 () (= @t38 @t37)) % 1.01/1.23 (define @t425 () (tptp.hAPP @t340 @t4)) % 1.01/1.23 (define @t426 () (= @t425 @t2)) % 1.01/1.23 (define @t427 () (tptp.hAPP @t85 @t2)) % 1.01/1.23 (define @t428 () (= @t427 @t2)) % 1.01/1.23 (define @t429 () (tptp.hAPP @t166 @t18)) % 1.01/1.23 (define @t430 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 1.01/1.23 (define @t431 () (tptp.hAPP @t45 @t61)) % 1.01/1.23 (define @t432 () (= (tptp.hAPP @t431 @t4) @t4)) % 1.01/1.23 (define @t433 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 1.01/1.23 (define @t434 () (= (tptp.hAPP @t85 @t61) @t4)) % 1.01/1.23 (define @t435 () (tptp.hBOOL (tptp.hAPP @t308 @t34))) % 1.01/1.23 (define @t436 () (@var "V_k" $$unsorted)) % 1.01/1.23 (define @t437 () (not (tptp.class_Ring__and__Field_Odvd @t1))) % 1.01/1.23 (define @t438 () (tptp.hAPP @t82 @t4)) % 1.01/1.23 (define @t439 () (@var "V_P" $$unsorted)) % 1.01/1.23 (define @t440 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t439 @t54 @t1)) % 1.01/1.23 (define @t441 () (tptp.hBOOL (tptp.hAPP @t439 @t4))) % 1.01/1.23 (define @t442 () (@list @t439 @t4 @t54 @t1)) % 1.01/1.23 (define @t443 () (tptp.hBOOL (tptp.hAPP @t190 @t18))) % 1.01/1.23 (define @t444 () (not @t443)) % 1.01/1.23 (define @t445 () (tptp.c_lessequals @t18 @t19 @t1)) % 1.01/1.23 (define @t446 () (not @t445)) % 1.01/1.23 (define @t447 () (not (tptp.hBOOL (tptp.hAPP @t190 @t384)))) % 1.01/1.23 (define @t448 () (tptp.hAPP (tptp.hAPP @t5 @t19) @t384)) % 1.01/1.23 (define @t449 () (tptp.hAPP @t258 @t256)) % 1.01/1.23 (define @t450 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t449) @t448))) % 1.01/1.23 (define @t451 () (@list @t1 @t18 @t256 @t19 @t384)) % 1.01/1.23 (define @t452 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1)) % 1.01/1.23 (define @t453 () (tptp.hAPP @t452 @t106)) % 1.01/1.23 (define @t454 () (tptp.hAPP @t452 @t122)) % 1.01/1.23 (define @t455 () (tptp.c_lessequals @t454 @t453 @t1)) % 1.01/1.23 (define @t456 () (@list @t1 @t122 @t106)) % 1.01/1.23 (define @t457 () (tptp.hAPP @t166 @t7)) % 1.01/1.23 (define @t458 () (= @t457 (tptp.hAPP @t6 @t168))) % 1.01/1.23 (define @t459 () (not (tptp.class_Power_Opower @t1))) % 1.01/1.23 (define @t460 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 1.01/1.23 (define @t461 () (tptp.hAPP @t47 @t31)) % 1.01/1.23 (define @t462 () (tptp.hAPP @t47 @t80)) % 1.01/1.23 (define @t463 () (tptp.hAPP (tptp.hAPP @t20 @t386) @t388)) % 1.01/1.23 (define @t464 () (tptp.c_Set_Oinsert @t3 @t40 @t1)) % 1.01/1.23 (define @t465 () (tptp.c_lessequals @t112 @t40 @t36)) % 1.01/1.23 (define @t466 () (not @t465)) % 1.01/1.23 (define @t467 () (tptp.c_lessequals @t2 @t324 @t1)) % 1.01/1.23 (define @t468 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.01/1.23 (define @t469 () (tptp.c_Set_Oinsert @t4 @t37 @t1)) % 1.01/1.23 (define @t470 () (tptp.hAPP @t147 @t3)) % 1.01/1.23 (define @t471 () (not (tptp.c_lessequals @t31 @t80 @t1))) % 1.01/1.23 (define @t472 () (tptp.hAPP @t26 @t80)) % 1.01/1.23 (define @t473 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 1.01/1.23 (define @t474 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t200 @t38 @t36)) % 1.01/1.23 (define @t475 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t38 @t36)) % 1.01/1.23 (define @t476 () (@list @t40 @t200 @t1 @t38)) % 1.01/1.23 (define @t477 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t369 @t372 @t1)) % 1.01/1.23 (define @t478 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t256 @t1)) % 1.01/1.23 (define @t479 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t478 @t1)) % 1.01/1.23 (define @t480 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 1.01/1.23 (define @t481 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t18 @t1)) % 1.01/1.23 (define @t482 () (@list @t1 @t19 @t256 @t18)) % 1.01/1.23 (define @t483 () (tptp.hAPP @t46 @t18)) % 1.01/1.23 (define @t484 () (tptp.hAPP @t20 @t2)) % 1.01/1.23 (define @t485 () (= (tptp.hAPP @t484 @t2) @t2)) % 1.01/1.23 (define @t486 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 1.01/1.23 (define @t487 () (= (tptp.hAPP @t28 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t31 @t1)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t34 @t1))) % 1.01/1.23 (define @t488 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__join @t1))) % 1.01/1.23 (define @t489 () (tptp.hAPP @t26 @t31)) % 1.01/1.23 (define @t490 () (= (tptp.hAPP @t116 @t31) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t489 @t1))) % 1.01/1.23 (define @t491 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 1.01/1.23 (define @t492 () (tptp.tc_fun @t71 tptp.tc_bool)) % 1.01/1.23 (define @t493 () (@var "V_r_H" $$unsorted)) % 1.01/1.23 (define @t494 () (not (tptp.c_lessequals @t493 @t54 @t492))) % 1.01/1.23 (define @t495 () (tptp.tc_prod @t69 @t363)) % 1.01/1.23 (define @t496 () (@var "V_s_H" $$unsorted)) % 1.01/1.23 (define @t497 () (tptp.tc_prod @t1 @t363)) % 1.01/1.23 (define @t498 () (tptp.tc_fun @t497 tptp.tc_bool)) % 1.01/1.23 (define @t499 () (tptp.c_HOL_Osgn__class_Osgn @t18 @t1)) % 1.01/1.23 (define @t500 () (not (tptp.class_Ring__and__Field_Osgn__if @t1))) % 1.01/1.23 (define @t501 () (tptp.hAPP @t21 @t256)) % 1.01/1.23 (define @t502 () (tptp.hAPP @t22 @t501)) % 1.01/1.23 (define @t503 () (tptp.hAPP @t22 @t256)) % 1.01/1.23 (define @t504 () (tptp.hAPP @t28 @t489)) % 1.01/1.23 (define @t505 () (tptp.hAPP @t20 @t29)) % 1.01/1.23 (define @t506 () (tptp.hAPP @t505 @t31)) % 1.01/1.23 (define @t507 () (= @t506 @t504)) % 1.01/1.23 (define @t508 () (tptp.hAPP @t20 @t34)) % 1.01/1.23 (define @t509 () (tptp.hAPP @t32 @t80)) % 1.01/1.23 (define @t510 () (tptp.hAPP @t28 @t509)) % 1.01/1.23 (define @t511 () (@list @t1 @t4 @t31 @t80)) % 1.01/1.23 (define @t512 () (tptp.tc_prod @t69 @t1)) % 1.01/1.23 (define @t513 () (tptp.tc_fun @t512 tptp.tc_bool)) % 1.01/1.23 (define @t514 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t40 @t118)) % 1.01/1.23 (define @t515 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t439 @t120 @t1)) % 1.01/1.23 (define @t516 () (@var "V_Rb" $$unsorted)) % 1.01/1.23 (define @t517 () (tptp.c_Power_Opower__class_Opower @t4 @t149 @t1)) % 1.01/1.23 (define @t518 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 1.01/1.23 (define @t519 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 1.01/1.23 (define @t520 () (@var "V_u" $$unsorted)) % 1.01/1.23 (define @t521 () (tptp.c_Relation_Oconverse @t54 @t69 @t1)) % 1.01/1.23 (define @t522 () (tptp.c_HOL_Ouminus__class_Ouminus @t118)) % 1.01/1.23 (define @t523 () (tptp.c_lessequals @t38 (tptp.hAPP @t522 (tptp.c_Relation_OImage @t521 @t157 @t1 @t69)) @t118)) % 1.01/1.23 (define @t524 () (tptp.c_Relation_OImage @t54 @t38 @t69 @t1)) % 1.01/1.23 (define @t525 () (tptp.c_lessequals @t524 @t40 @t36)) % 1.01/1.23 (define @t526 () (tptp.c_lessequals @t2 @t167 @t1)) % 1.01/1.23 (define @t527 () (= (tptp.hAPP @t28 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t31 @t1)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t34 @t1))) % 1.01/1.23 (define @t528 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t1))) % 1.01/1.23 (define @t529 () (= (tptp.hAPP (tptp.hAPP @t20 @t114) @t31) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t489 @t1))) % 1.01/1.23 (define @t530 () (tptp.c_lessequals @t2 @t7 @t1)) % 1.01/1.23 (define @t531 () (not @t530)) % 1.01/1.23 (define @t532 () (not (tptp.hBOOL (tptp.hAPP @t308 @t31)))) % 1.01/1.23 (define @t533 () (@list @t1 @t4 @t106 @t105)) % 1.01/1.23 (define @t534 () (tptp.hBOOL (tptp.hAPP @t383 @t326))) % 1.01/1.23 (define @t535 () (@list @t1 @t4 @t106 @t3)) % 1.01/1.23 (define @t536 () (@var "V_xa" $$unsorted)) % 1.01/1.23 (define @t537 () (tptp.c_Set_Oinsert @t18 @t37 @t1)) % 1.01/1.23 (define @t538 () (@var "V_y_H" $$unsorted)) % 1.01/1.23 (define @t539 () (@var "V_x_H" $$unsorted)) % 1.01/1.23 (define @t540 () (tptp.hAPP (tptp.hAPP @t90 @t539) @t538)) % 1.01/1.23 (define @t541 () (tptp.hAPP @t166 @t19)) % 1.01/1.23 (define @t542 () (tptp.hAPP @t271 @t19)) % 1.01/1.23 (define @t543 () (tptp.c_lessequals @t207 @t206 @t1)) % 1.01/1.23 (define @t544 () (not @t543)) % 1.01/1.23 (define @t545 () (tptp.c_lessequals @t194 @t211 @t1)) % 1.01/1.23 (define @t546 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t200 @t36)) % 1.01/1.23 (define @t547 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t201 @t36)) % 1.01/1.23 (define @t548 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t478 @t1)) % 1.01/1.23 (define @t549 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t19 @t1)) % 1.01/1.23 (define @t550 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t549 @t256 @t1) @t548)) % 1.01/1.23 (define @t551 () (tptp.hAPP @t340 @t3)) % 1.01/1.23 (define @t552 () (tptp.c_Finite__Set_Ocard @t40 @t1)) % 1.01/1.23 (define @t553 () (= @t38 @t40)) % 1.01/1.23 (define @t554 () (@list @t38 @t40 @t1)) % 1.01/1.23 (define @t555 () (tptp.hAPP @t28 @t61)) % 1.01/1.23 (define @t556 () (tptp.hAPP (tptp.hAPP @t45 @t555) @t122)) % 1.01/1.23 (define @t557 () (tptp.hAPP @t85 @t122)) % 1.01/1.23 (define @t558 () (tptp.hAPP @t20 @t557)) % 1.01/1.23 (define @t559 () (tptp.hBOOL (tptp.hAPP @t148 @t38))) % 1.01/1.23 (define @t560 () (not @t559)) % 1.01/1.23 (define @t561 () (tptp.hBOOL (tptp.hAPP @t148 @t40))) % 1.01/1.23 (define @t562 () (not @t561)) % 1.01/1.23 (define @t563 () (@list @t1 @t18 @t40 @t38)) % 1.01/1.23 (define @t564 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t256 @t1)) % 1.01/1.23 (define @t565 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t549 @t564 @t1)) % 1.01/1.23 (define @t566 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t367 @t1)) % 1.01/1.23 (define @t567 () (tptp.c_lessequals @t63 @t2 @t1)) % 1.01/1.23 (define @t568 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t439 @t54 @t1)) % 1.01/1.23 (define @t569 () (@var "V_xb" $$unsorted)) % 1.01/1.23 (define @t570 () (tptp.hAPP @t5 @t194)) % 1.01/1.23 (define @t571 () (tptp.hAPP @t570 @t31)) % 1.01/1.23 (define @t572 () (= @t4 @t571)) % 1.01/1.23 (define @t573 () (@list @t1 @t31 @t4)) % 1.01/1.23 (define @t574 () (= @t571 @t4)) % 1.01/1.23 (define @t575 () (= @t106 @t149)) % 1.01/1.23 (define @t576 () (@list @t106)) % 1.01/1.23 (define @t577 () (= @t326 @t149)) % 1.01/1.23 (define @t578 () (= @t18 @t19)) % 1.01/1.23 (define @t579 () (= (tptp.c_Power_Opower__class_Opower @t7 @t106 @t1) (tptp.hAPP (tptp.hAPP @t5 @t108) @t343))) % 1.01/1.23 (define @t580 () (tptp.hAPP @t184 @t61)) % 1.01/1.23 (define @t581 () (not (tptp.hBOOL (tptp.hAPP @t580 @t4)))) % 1.01/1.23 (define @t582 () (tptp.c_Relation_Oconverse @t54 @t1 @t1)) % 1.01/1.23 (define @t583 () (tptp.c_Wellfounded_Oacyclic @t582 @t1)) % 1.01/1.23 (define @t584 () (tptp.c_Wellfounded_Oacyclic @t54 @t1)) % 1.01/1.23 (define @t585 () (@list @t54 @t1)) % 1.01/1.23 (define @t586 () (not @t584)) % 1.01/1.23 (define @t587 () (tptp.c_lessequals @t106 @t122 tptp.tc_nat)) % 1.01/1.23 (define @t588 () (not @t587)) % 1.01/1.23 (define @t589 () (= @t122 @t106)) % 1.01/1.23 (define @t590 () (@list @t122 @t106)) % 1.01/1.23 (define @t591 () (tptp.c_lessequals @t19 @t18 @t1)) % 1.01/1.23 (define @t592 () (not @t591)) % 1.01/1.23 (define @t593 () (not (tptp.class_Orderings_Oorder @t1))) % 1.01/1.23 (define @t594 () (tptp.c_Finite__Set_Osetprod @t174 @t38 @t1 @t69)) % 1.01/1.23 (define @t595 () (tptp.c_HOL_Otimes__class_Otimes @t69)) % 1.01/1.23 (define @t596 () (tptp.hAPP (tptp.hAPP @t595 @t594) (tptp.c_Finite__Set_Osetprod @t174 @t40 @t1 @t69))) % 1.01/1.23 (define @t597 () (tptp.c_Finite__Set_Osetprod @t174 @t179 @t1 @t69)) % 1.01/1.23 (define @t598 () (tptp.c_lessequals @t92 @t2 @t1)) % 1.01/1.23 (define @t599 () (= @t549 @t19)) % 1.01/1.23 (define @t600 () (= @t179 @t40)) % 1.01/1.23 (define @t601 () (tptp.hAPP @t20 @t167)) % 1.01/1.23 (define @t602 () (tptp.hAPP @t166 @t256)) % 1.01/1.23 (define @t603 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t31 @t1)) % 1.01/1.23 (define @t604 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t31 @t1)) % 1.01/1.23 (define @t605 () (not (tptp.c_lessequals @t384 @t256 @t1))) % 1.01/1.23 (define @t606 () (tptp.hAPP @t175 @t139)) % 1.01/1.23 (define @t607 () (tptp.hAPP @t606 @t134)) % 1.01/1.23 (define @t608 () (tptp.hAPP @t606 @t38)) % 1.01/1.23 (define @t609 () (@list @t69 @t1 @t139 @t38 @t40)) % 1.01/1.23 (define @t610 () (= @t4 @t31)) % 1.01/1.23 (define @t611 () (= @t4 @t80)) % 1.01/1.23 (define @t612 () (tptp.c_Set_Oinsert @t3 @t37 @t1)) % 1.01/1.23 (define @t613 () (not (= (tptp.c_Set_Oinsert @t4 @t612 @t1) (tptp.c_Set_Oinsert @t31 (tptp.c_Set_Oinsert @t80 @t37 @t1) @t1)))) % 1.01/1.23 (define @t614 () (@list @t4 @t3 @t1 @t31 @t80)) % 1.01/1.23 (define @t615 () (= @t3 @t31)) % 1.01/1.23 (define @t616 () (= @t3 @t80)) % 1.01/1.23 (define @t617 () (tptp.c_lessequals @t34 @t489 @t1)) % 1.01/1.23 (define @t618 () (tptp.hAPP @t32 @t3)) % 1.01/1.23 (define @t619 () (tptp.c_lessequals @t33 @t618 @t1)) % 1.01/1.23 (define @t620 () (tptp.hAPP @t5 @t388)) % 1.01/1.23 (define @t621 () (tptp.hAPP @t45 @t259)) % 1.01/1.23 (define @t622 () (tptp.hAPP @t85 @t168)) % 1.01/1.23 (define @t623 () (tptp.hAPP @t166 @t222)) % 1.01/1.23 (define @t624 () (tptp.hAPP @t45 @t167)) % 1.01/1.23 (define @t625 () (tptp.hAPP @t624 @t3)) % 1.01/1.23 (define @t626 () (tptp.c_lessequals @t29 @t2 @t1)) % 1.01/1.23 (define @t627 () (tptp.c_lessequals @t4 @t168 @t1)) % 1.01/1.23 (define @t628 () (not @t627)) % 1.01/1.23 (define @t629 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t227) @t226))) % 1.01/1.23 (define @t630 () (tptp.hBOOL (tptp.hAPP @t308 @t4))) % 1.01/1.23 (define @t631 () (not @t630)) % 1.01/1.23 (define @t632 () (tptp.c_Finite__Set_Ofinite @t158 @t1)) % 1.01/1.23 (define @t633 () (= (tptp.c_HOL_Osgn__class_Osgn @t2 @t1) @t2)) % 1.01/1.23 (define @t634 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 1.01/1.23 (define @t635 () (tptp.hAPP @t166 @t2)) % 1.01/1.23 (define @t636 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 1.01/1.23 (define @t637 () (not (= @t108 @t2))) % 1.01/1.23 (define @t638 () (tptp.c_lessequals @t167 @t2 @t1)) % 1.01/1.23 (define @t639 () (tptp.hAPP @t147 @t4)) % 1.01/1.23 (define @t640 () (tptp.hBOOL (tptp.hAPP @t639 @t200))) % 1.01/1.23 (define @t641 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t136 @t200 @t36)) % 1.01/1.23 (define @t642 () (tptp.hBOOL (tptp.hAPP @t639 @t38))) % 1.01/1.23 (define @t643 () (not @t642)) % 1.01/1.23 (define @t644 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t136 @t36)) % 1.01/1.23 (define @t645 () (= @t548 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t564 @t1))) % 1.01/1.23 (define @t646 () (tptp.hAPP @t5 @t167)) % 1.01/1.23 (define @t647 () (= (tptp.hAPP @t646 @t168) @t7)) % 1.01/1.23 (define @t648 () (= @t369 @t18)) % 1.01/1.23 (define @t649 () (tptp.c_lessequals @t38 @t200 @t36)) % 1.01/1.23 (define @t650 () (not @t649)) % 1.01/1.23 (define @t651 () (tptp.c_lessequals @t40 @t200 @t36)) % 1.01/1.23 (define @t652 () (not @t651)) % 1.01/1.23 (define @t653 () (tptp.c_lessequals @t179 @t200 @t36)) % 1.01/1.23 (define @t654 () (tptp.c_lessequals @t4 @t18 @t1)) % 1.01/1.23 (define @t655 () (not @t654)) % 1.01/1.23 (define @t656 () (tptp.c_lessequals @t3 @t18 @t1)) % 1.01/1.23 (define @t657 () (not @t656)) % 1.01/1.23 (define @t658 () (tptp.c_lessequals @t115 @t18 @t1)) % 1.01/1.23 (define @t659 () (@list @t1 @t4 @t3 @t18)) % 1.01/1.23 (define @t660 () (tptp.c_lessequals @t18 @t549 @t1)) % 1.01/1.23 (define @t661 () (tptp.c_lessequals @t19 @t549 @t1)) % 1.01/1.23 (define @t662 () (@list @t1 @t19 @t18)) % 1.01/1.23 (define @t663 () (tptp.c_lessequals @t256 @t18 @t1)) % 1.01/1.23 (define @t664 () (tptp.c_lessequals @t18 @t256 @t1)) % 1.01/1.23 (define @t665 () (not @t664)) % 1.01/1.23 (define @t666 () (tptp.c_lessequals @t19 @t256 @t1)) % 1.01/1.23 (define @t667 () (not @t666)) % 1.01/1.23 (define @t668 () (tptp.c_lessequals @t549 @t256 @t1)) % 1.01/1.23 (define @t669 () (= @t369 @t481)) % 1.01/1.23 (define @t670 () (not (tptp.c_Equiv__Relations_Oequiv @t38 @t54 @t1))) % 1.01/1.23 (define @t671 () (tptp.c_in @t51)) % 1.01/1.23 (define @t672 () (tptp.hAPP @t671 (tptp.c_Pair @t4 @t3 @t1 @t1))) % 1.01/1.23 (define @t673 () (tptp.hBOOL (tptp.hAPP @t672 @t54))) % 1.01/1.23 (define @t674 () (not @t673)) % 1.01/1.23 (define @t675 () (tptp.c_Relation_OImage @t54 @t612 @t1 @t1)) % 1.01/1.23 (define @t676 () (tptp.c_Relation_OImage @t54 @t469 @t1 @t1)) % 1.01/1.23 (define @t677 () (@list @t54 @t4 @t1 @t3 @t38)) % 1.01/1.23 (define @t678 () (tptp.hAPP @t45 @t29)) % 1.01/1.23 (define @t679 () (= (tptp.hAPP @t601 @t4) @t2)) % 1.01/1.23 (define @t680 () (tptp.hAPP @t20 @t168)) % 1.01/1.23 (define @t681 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t200 @t38 @t36)) % 1.01/1.23 (define @t682 () (tptp.hBOOL (tptp.hAPP @t383 @t106))) % 1.01/1.23 (define @t683 () (not @t682)) % 1.01/1.23 (define @t684 () (not (= @t92 @t2))) % 1.01/1.23 (define @t685 () (not (tptp.c_lessequals @t49 @t2 @t1))) % 1.01/1.23 (define @t686 () (tptp.hAPP @t241 @t2)) % 1.01/1.23 (define @t687 () (tptp.hAPP @t5 @t2)) % 1.01/1.23 (define @t688 () (tptp.hBOOL (tptp.hAPP @t190 @t29))) % 1.01/1.23 (define @t689 () (tptp.c_Set_Ovimage @t139 @t38 @t1 @t69)) % 1.01/1.23 (define @t690 () (tptp.c_lessequals @t222 @t2 @t1)) % 1.01/1.23 (define @t691 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 1.01/1.23 (define @t692 () (@var "V_J" $$unsorted)) % 1.01/1.23 (define @t693 () (@var "V_I" $$unsorted)) % 1.01/1.23 (define @t694 () (not (= @t29 @t34))) % 1.01/1.23 (define @t695 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 1.01/1.23 (define @t696 () (tptp.c_Set_Oinsert @t18 @t40 @t1)) % 1.01/1.23 (define @t697 () (tptp.c_lessequals @t38 @t696 @t36)) % 1.01/1.23 (define @t698 () (@list @t38 @t18 @t40 @t1)) % 1.01/1.23 (define @t699 () (not @t697)) % 1.01/1.23 (define @t700 () (tptp.c_Set_Ovimage @t139 @t40 @t69 @t1)) % 1.01/1.23 (define @t701 () (tptp.c_Set_Ovimage @t139 @t38 @t69 @t1)) % 1.01/1.23 (define @t702 () (not (tptp.c_lessequals @t19 @t61 @t1))) % 1.01/1.23 (define @t703 () (not (tptp.c_lessequals @t18 @t2 @t1))) % 1.01/1.23 (define @t704 () (tptp.hAPP @t184 @t19)) % 1.01/1.23 (define @t705 () (not (tptp.hBOOL (tptp.hAPP @t704 @t2)))) % 1.01/1.23 (define @t706 () (tptp.c_lessequals @t2 @t259 @t1)) % 1.01/1.23 (define @t707 () (tptp.c_Power_Opower__class_Opower @t18 @t106 @t1)) % 1.01/1.23 (define @t708 () (not (= @t179 @t37))) % 1.01/1.23 (define @t709 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t40 @t1) @t42))) % 1.01/1.23 (define @t710 () (@var "V_T" $$unsorted)) % 1.01/1.23 (define @t711 () (tptp.tc_prod @t363 @t69)) % 1.01/1.23 (define @t712 () (tptp.c_lessequals @t200 @t134 @t36)) % 1.01/1.23 (define @t713 () (not @t712)) % 1.01/1.23 (define @t714 () (tptp.c_lessequals @t200 @t40 @t36)) % 1.01/1.23 (define @t715 () (tptp.c_lessequals @t18 @t114 @t1)) % 1.01/1.23 (define @t716 () (not @t715)) % 1.01/1.23 (define @t717 () (tptp.c_lessequals @t18 @t4 @t1)) % 1.01/1.23 (define @t718 () (@list @t1 @t18 @t4 @t3)) % 1.01/1.23 (define @t719 () (tptp.c_lessequals @t18 @t3 @t1)) % 1.01/1.23 (define @t720 () (tptp.c_lessequals @t114 @t18 @t1)) % 1.01/1.23 (define @t721 () (tptp.c_lessequals @t18 @t367 @t1)) % 1.01/1.23 (define @t722 () (not @t721)) % 1.01/1.23 (define @t723 () (@list @t1 @t18 @t256 @t19)) % 1.01/1.23 (define @t724 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t541 @t1)) % 1.01/1.23 (define @t725 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t429 @t19 @t1)) % 1.01/1.23 (define @t726 () (@var "V_D" $$unsorted)) % 1.01/1.23 (define @t727 () (not (tptp.c_lessequals @t40 @t726 @t36))) % 1.01/1.23 (define @t728 () (@list @t38 @t40 @t1 @t200 @t726)) % 1.01/1.23 (define @t729 () (= (tptp.c_Power_Opower__class_Opower @t2 @t106 @t1) @t2)) % 1.01/1.23 (define @t730 () (tptp.c_lessequals @t369 @t18 @t1)) % 1.01/1.23 (define @t731 () (tptp.c_lessequals @t369 @t19 @t1)) % 1.01/1.23 (define @t732 () (not @t717)) % 1.01/1.23 (define @t733 () (not @t719)) % 1.01/1.23 (define @t734 () (tptp.c_HOL_Osgn__class_Osgn @t4 @t1)) % 1.01/1.23 (define @t735 () (= @t734 @t235)) % 1.01/1.23 (define @t736 () (not @t690)) % 1.01/1.23 (define @t737 () (= @t635 @t2)) % 1.01/1.23 (define @t738 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t18 @t1)) % 1.01/1.23 (define @t739 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t38 @t36)) % 1.01/1.23 (define @t740 () (@list @t18 @t38 @t1 @t40)) % 1.01/1.23 (define @t741 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t222 @t31 @t1))) % 1.01/1.23 (define @t742 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t211 @t1)) % 1.01/1.23 (define @t743 () (not @t604)) % 1.01/1.23 (define @t744 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t369 @t1) @t369)) % 1.01/1.23 (define @t745 () (tptp.c_lessequals @t324 @t2 @t1)) % 1.01/1.23 (define @t746 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 1.01/1.23 (define @t747 () (tptp.hAPP @t45 @t54)) % 1.01/1.23 (define @t748 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 1.01/1.23 (define @t749 () (not (= @t49 @t2))) % 1.01/1.23 (define @t750 () (tptp.hAPP @t184 @t256)) % 1.01/1.23 (define @t751 () (tptp.hAPP @t184 @t18)) % 1.01/1.23 (define @t752 () (tptp.hAPP @t184 @t259)) % 1.01/1.23 (define @t753 () (not @t668)) % 1.01/1.23 (define @t754 () (tptp.c_lessequals @t18 @t115 @t1)) % 1.01/1.23 (define @t755 () (not @t658)) % 1.01/1.23 (define @t756 () (not @t653)) % 1.01/1.23 (define @t757 () (@list @t38 @t200 @t1 @t40)) % 1.01/1.23 (define @t758 () (not (tptp.c_lessequals @t256 @t19 @t1))) % 1.01/1.23 (define @t759 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.01/1.23 (define @t760 () (@var "V_j" $$unsorted)) % 1.01/1.23 (define @t761 () (@var "V_i" $$unsorted)) % 1.01/1.23 (define @t762 () (@list @t18)) % 1.01/1.23 (define @t763 () (@var "V_Q" $$unsorted)) % 1.01/1.23 (define @t764 () (not (tptp.c_lessequals @t439 @t763 @t36))) % 1.01/1.23 (define @t765 () (tptp.hBOOL (tptp.hAPP @t439 @t18))) % 1.01/1.23 (define @t766 () (not @t765)) % 1.01/1.23 (define @t767 () (tptp.hBOOL (tptp.hAPP @t763 @t18))) % 1.01/1.23 (define @t768 () (@list @t763 @t18 @t439 @t1)) % 1.01/1.23 (define @t769 () (@var "V_p" $$unsorted)) % 1.01/1.23 (define @t770 () (tptp.c_lessequals @t18 @t18 @t1)) % 1.01/1.23 (define @t771 () (= @t542 (tptp.hAPP @t22 @t541))) % 1.01/1.23 (define @t772 () (= @t92 (tptp.hAPP @t28 @t168))) % 1.01/1.23 (define @t773 () (tptp.hBOOL (tptp.hAPP @t190 @t49))) % 1.01/1.23 (define @t774 () (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP @t22 @t257)) @t19)) % 1.01/1.23 (define @t775 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t168 @t1)) % 1.01/1.23 (define @t776 () (= @t549 @t738)) % 1.01/1.23 (define @t777 () (tptp.hAPP @t5 @t29)) % 1.01/1.23 (define @t778 () (tptp.hAPP @t777 @t315)) % 1.01/1.23 (define @t779 () (@var "V_R2" $$unsorted)) % 1.01/1.23 (define @t780 () (@var "V_R1" $$unsorted)) % 1.01/1.23 (define @t781 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t549 @t1) @t549)) % 1.01/1.23 (define @t782 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t167 @t168 @t1)) % 1.01/1.23 (define @t783 () (@list @t38 @t1 @t40)) % 1.01/1.23 (define @t784 () (tptp.c_Set_Ovimage @t139 @t40 @t1 @t69)) % 1.01/1.23 (define @t785 () (@list @t139 @t38 @t40 @t69 @t1)) % 1.01/1.23 (define @t786 () (not (tptp.hBOOL (tptp.hAPP @t185 @t61)))) % 1.01/1.23 (define @t787 () (tptp.c_Finite__Set_Ocard @t37 @t1)) % 1.01/1.23 (define @t788 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t439 @t54 @t1)) % 1.01/1.23 (define @t789 () (tptp.c_lessequals @t194 @t193 @t1)) % 1.01/1.23 (define @t790 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 1.01/1.23 (define @t791 () (tptp.hBOOL (tptp.hAPP @t134 @t18))) % 1.01/1.23 (define @t792 () (not @t791)) % 1.01/1.23 (define @t793 () (tptp.c_Relation_ORange @t54 @t69 @t1)) % 1.01/1.23 (define @t794 () (tptp.c_Pair @t4 @t3 @t69 @t1)) % 1.01/1.23 (define @t795 () (tptp.c_lessequals @t38 @t157 @t36)) % 1.01/1.23 (define @t796 () (= (tptp.hAPP @t484 @t4) @t4)) % 1.01/1.23 (define @t797 () (= (tptp.hAPP @t28 @t2) @t4)) % 1.01/1.23 (define @t798 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 1.01/1.23 (define @t799 () (tptp.c_lessequals @t2 @t222 @t1)) % 1.01/1.23 (define @t800 () (not @t799)) % 1.01/1.23 (define @t801 () (= (tptp.c_Recdef_Ocut @t139 @t54 @t18 @t1 @t69) (tptp.c_Recdef_Ocut @t174 @t54 @t18 @t1 @t69))) % 1.01/1.23 (define @t802 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t139 @t174 @t54 @t18 @t1 @t69)) % 1.01/1.23 (define @t803 () (@list @t1 @t122 @t106 @t4)) % 1.01/1.23 (define @t804 () (not (tptp.hBOOL (tptp.hAPP @t580 @t3)))) % 1.01/1.23 (define @t805 () (tptp.c_Power_Opower__class_Opower @t3 @t19 @t1)) % 1.01/1.23 (define @t806 () (tptp.c_Power_Opower__class_Opower @t3 @t18 @t1)) % 1.01/1.23 (define @t807 () (tptp.c_lessequals @t806 @t805 @t1)) % 1.01/1.23 (define @t808 () (tptp.c_lessequals @t18 @t19 tptp.tc_nat)) % 1.01/1.23 (define @t809 () (@list @t1 @t18 @t19 @t3)) % 1.01/1.23 (define @t810 () (@list @t1 @t3 @t18 @t19)) % 1.01/1.23 (define @t811 () (tptp.c_Relation_OId__on @t38 @t1)) % 1.01/1.23 (define @t812 () (tptp.hAPP @t166 @t167)) % 1.01/1.23 (define @t813 () (tptp.hAPP @t166 @t168)) % 1.01/1.23 (define @t814 () (tptp.c_Pair @t19 @t18 @t1 @t1)) % 1.01/1.23 (define @t815 () (tptp.c_Set_Oinsert @t814 @t54 @t51)) % 1.01/1.23 (define @t816 () (tptp.c_Wellfounded_Oacyclic @t815 @t1)) % 1.01/1.23 (define @t817 () (not @t816)) % 1.01/1.23 (define @t818 () (@list @t54 @t1 @t19 @t18)) % 1.01/1.23 (define @t819 () (tptp.c_Relation_Oantisym @t54 @t1)) % 1.01/1.23 (define @t820 () (not (tptp.c_lessequals @t54 @t53 @t492))) % 1.01/1.23 (define @t821 () (@list @t54 @t1 @t69 @t53)) % 1.01/1.23 (define @t822 () (tptp.c_lessequals @t259 @t2 @t1)) % 1.01/1.23 (define @t823 () (tptp.c_Set_Oinsert @t4 @t119 @t69)) % 1.01/1.23 (define @t824 () (tptp.c_lessequals @t538 @t539 @t1)) % 1.01/1.23 (define @t825 () (not (= @t542 @t540))) % 1.01/1.23 (define @t826 () (@list @t1 @t18 @t19 @t539 @t538)) % 1.01/1.23 (define @t827 () (@var "V_q" $$unsorted)) % 1.01/1.23 (define @t828 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t80 @t726 @t1))) % 1.01/1.23 (define @t829 () (@var "V_t" $$unsorted)) % 1.01/1.23 (define @t830 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t80 (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t271 (tptp.hAPP (tptp.hAPP @t45 @t436) @t726))) @t829) @t1)) % 1.01/1.23 (define @t831 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t80 (tptp.hAPP @t22 @t829) @t1)) % 1.01/1.23 (define @t832 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t1))) % 1.01/1.23 (define @t833 () (= @t259 @t406)) % 1.01/1.23 (define @t834 () (= @t388 @t389)) % 1.01/1.23 (define @t835 () (@var "V_A_H" $$unsorted)) % 1.01/1.23 (define @t836 () (tptp.c_Relation_OImage @t54 @t38 @t1 @t69)) % 1.01/1.23 (define @t837 () (tptp.hAPP @t418 @t412)) % 1.01/1.23 (define @t838 () (@list @t1 @t413 @t410 @t412)) % 1.01/1.23 (define @t839 () (tptp.hAPP @t414 @t417)) % 1.01/1.23 (define @t840 () (@list @t1 @t413 @t412 @t409)) % 1.01/1.23 (define @t841 () (= (tptp.hAPP @t678 @t31) (tptp.hAPP @t391 @t211))) % 1.01/1.23 (define @t842 () (tptp.hAPP @t166 @t29)) % 1.01/1.23 (define @t843 () (tptp.hBOOL (tptp.hAPP @t751 @t19))) % 1.01/1.23 (define @t844 () (not @t843)) % 1.01/1.23 (define @t845 () (@list @t106 @t122)) % 1.01/1.23 (define @t846 () (not (tptp.c_Finite__Set_Ofinite @t214 @t1))) % 1.01/1.23 (define @t847 () (tptp.hBOOL (tptp.hAPP @t148 @t214))) % 1.01/1.23 (define @t848 () (not @t847)) % 1.01/1.23 (define @t849 () (@list @t69 @t139 @t4 @t38 @t1)) % 1.01/1.23 (define @t850 () (tptp.hAPP @t671 (tptp.c_Pair @t18 @t19 @t1 @t1))) % 1.01/1.23 (define @t851 () (tptp.hBOOL (tptp.hAPP @t850 @t57))) % 1.01/1.23 (define @t852 () (@list @t19 @t18 @t1 @t54)) % 1.01/1.23 (define @t853 () (not @t851)) % 1.01/1.23 (define @t854 () (@list @t1 @t18 @t19 @t54)) % 1.01/1.23 (define @t855 () (tptp.hBOOL (tptp.hAPP @t672 @t57))) % 1.01/1.23 (define @t856 () (not @t855)) % 1.01/1.23 (define @t857 () (tptp.hBOOL (tptp.hAPP @t439 @t3))) % 1.01/1.23 (define @t858 () (not @t857)) % 1.01/1.23 (define @t859 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t439 @t3 @t54 @t1)) % 1.01/1.23 (define @t860 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t439 @t3 @t54 @t1)) % 1.01/1.23 (define @t861 () (@list @t439 @t4 @t1 @t3 @t54)) % 1.01/1.23 (define @t862 () (not @t441)) % 1.01/1.23 (define @t863 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t439 @t4 @t54 @t1)) % 1.01/1.23 (define @t864 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t439 @t4 @t54 @t1)) % 1.01/1.23 (define @t865 () (@list @t439 @t3 @t1 @t4 @t54)) % 1.01/1.23 (define @t866 () (@list @t1 @t4 @t54 @t38)) % 1.01/1.23 (define @t867 () (not (tptp.hBOOL (tptp.hAPP @t470 @t38)))) % 1.01/1.23 (define @t868 () (tptp.hBOOL (tptp.hAPP @t190 @t324))) % 1.01/1.23 (define @t869 () (not (tptp.hBOOL (tptp.hAPP @t751 @t2)))) % 1.01/1.23 (define @t870 () (tptp.hBOOL (tptp.hAPP @t190 @t259))) % 1.01/1.23 (define @t871 () (tptp.hBOOL (tptp.hAPP @t190 @t7))) % 1.01/1.23 (define @t872 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t7) @t2))) % 1.01/1.23 (define @t873 () (not @t872)) % 1.01/1.23 (define @t874 () (tptp.hAPP @t184 @t34)) % 1.01/1.23 (define @t875 () (tptp.hBOOL (tptp.hAPP @t874 @t472))) % 1.01/1.23 (define @t876 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 1.01/1.23 (define @t877 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t146 @t279 @t36) @t1)) % 1.01/1.23 (define @t878 () (tptp.c_lessequals @t3 @t167 @t1)) % 1.01/1.23 (define @t879 () (tptp.c_lessequals @t167 @t3 @t1)) % 1.01/1.23 (define @t880 () (tptp.c_lessequals @t168 @t4 @t1)) % 1.01/1.23 (define @t881 () (tptp.hAPP @t147 @t31)) % 1.01/1.23 (define @t882 () (tptp.hBOOL (tptp.hAPP @t881 @t38))) % 1.01/1.23 (define @t883 () (not @t882)) % 1.01/1.23 (define @t884 () (tptp.hBOOL (tptp.hAPP @t881 @t40))) % 1.01/1.23 (define @t885 () (not @t884)) % 1.01/1.23 (define @t886 () (tptp.hBOOL (tptp.hAPP @t881 @t134))) % 1.01/1.23 (define @t887 () (@list @t1 @t31 @t38 @t40)) % 1.01/1.23 (define @t888 () (tptp.hBOOL (tptp.hAPP @t639 (tptp.c_Set_Oinsert @t3 @t38 @t1)))) % 1.01/1.23 (define @t889 () (tptp.hAPP @t147 @t829)) % 1.01/1.23 (define @t890 () (@list @t1 @t31 @t40 @t38)) % 1.01/1.23 (define @t891 () (tptp.hBOOL (tptp.hAPP @t881 @t179))) % 1.01/1.23 (define @t892 () (not (tptp.hBOOL (tptp.hAPP @t148 @t37)))) % 1.01/1.23 (define @t893 () (@list @t439 @t18 @t1)) % 1.01/1.23 (define @t894 () (tptp.hBOOL (tptp.hAPP @t881 @t158))) % 1.01/1.23 (define @t895 () (@list @t1 @t31 @t38)) % 1.01/1.23 (define @t896 () (@list @t1 @t18 @t38)) % 1.01/1.23 (define @t897 () (not @t886)) % 1.01/1.23 (define @t898 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t539) @t538))) % 1.01/1.23 (define @t899 () (tptp.hBOOL (tptp.hAPP @t751 @t256))) % 1.01/1.23 (define @t900 () (not (tptp.hBOOL (tptp.hAPP @t704 @t256)))) % 1.01/1.23 (define @t901 () (not (tptp.hBOOL (tptp.hAPP @t750 @t19)))) % 1.01/1.23 (define @t902 () (tptp.hBOOL (tptp.hAPP @t750 @t18))) % 1.01/1.23 (define @t903 () (tptp.hBOOL (tptp.hAPP @t704 @t18))) % 1.01/1.23 (define @t904 () (not @t903)) % 1.01/1.23 (define @t905 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t33) @t618))) % 1.01/1.23 (define @t906 () (tptp.hBOOL (tptp.hAPP @t874 @t489))) % 1.01/1.23 (define @t907 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t114) @t18))) % 1.01/1.23 (define @t908 () (tptp.hAPP @t184 @t168)) % 1.01/1.23 (define @t909 () (tptp.hBOOL (tptp.hAPP @t908 @t167))) % 1.01/1.23 (define @t910 () (tptp.hBOOL (tptp.hAPP @t751 @t18))) % 1.01/1.23 (define @t911 () (not @t910)) % 1.01/1.23 (define @t912 () (tptp.hBOOL (tptp.hAPP @t751 @t115))) % 1.01/1.23 (define @t913 () (tptp.hBOOL (tptp.hAPP @t185 @t168))) % 1.01/1.23 (define @t914 () (tptp.hBOOL (tptp.hAPP @t308 @t167))) % 1.01/1.23 (define @t915 () (tptp.hAPP @t184 @t167)) % 1.01/1.23 (define @t916 () (tptp.hBOOL (tptp.hAPP @t915 @t3))) % 1.01/1.23 (define @t917 () (tptp.hBOOL (tptp.hAPP @t908 @t4))) % 1.01/1.23 (define @t918 () (tptp.hAPP @t382 @t122)) % 1.01/1.23 (define @t919 () (tptp.hBOOL (tptp.hAPP @t918 @t106))) % 1.01/1.23 (define @t920 () (not @t919)) % 1.01/1.23 (define @t921 () (tptp.hAPP @t382 @t18)) % 1.01/1.23 (define @t922 () (tptp.hBOOL (tptp.hAPP @t921 @t19))) % 1.01/1.23 (define @t923 () (not @t922)) % 1.01/1.23 (define @t924 () (tptp.hAPP @t382 @t106)) % 1.01/1.23 (define @t925 () (= @t676 @t675)) % 1.01/1.23 (define @t926 () (tptp.hAPP @t147 @t19)) % 1.01/1.23 (define @t927 () (tptp.hBOOL (tptp.hAPP @t926 @t38))) % 1.01/1.23 (define @t928 () (not @t927)) % 1.01/1.23 (define @t929 () (tptp.hBOOL (tptp.hAPP @t850 @t54))) % 1.01/1.23 (define @t930 () (= (tptp.c_Relation_OImage @t54 @t537 @t1 @t1) (tptp.c_Relation_OImage @t54 (tptp.c_Set_Oinsert @t19 @t37 @t1) @t1 @t1))) % 1.01/1.23 (define @t931 () (not @t930)) % 1.01/1.23 (define @t932 () (@list @t54 @t18 @t1 @t19 @t38)) % 1.01/1.23 (define @t933 () (not @t929)) % 1.01/1.23 (define @t934 () (tptp.tc_fun @t69 @t69)) % 1.01/1.23 (define @t935 () (tptp.tc_fun @t69 @t934)) % 1.01/1.23 (define @t936 () (tptp.c_COMBC @t147 @t1 @t36 tptp.tc_bool)) % 1.01/1.23 (define @t937 () (tptp.c_HOL_OIf @t69)) % 1.01/1.23 (define @t938 () (tptp.c_COMBB @t937 (tptp.hAPP @t936 @t40) tptp.tc_bool @t935 @t1)) % 1.01/1.23 (define @t939 () (tptp.c_COMBS @t938 @t139 @t1 @t69 @t934)) % 1.01/1.23 (define @t940 () (= @t734 @t61)) % 1.01/1.23 (define @t941 () (tptp.hBOOL (tptp.hAPP @t190 @t63))) % 1.01/1.23 (define @t942 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t734) @t2))) % 1.01/1.23 (define @t943 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t327) @t242))) % 1.01/1.23 (define @t944 () (tptp.hBOOL (tptp.hAPP @t915 @t2))) % 1.01/1.23 (define @t945 () (tptp.hBOOL (tptp.hAPP @t190 @t734))) % 1.01/1.23 (define @t946 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t324) @t2))) % 1.01/1.23 (define @t947 () (not @t946)) % 1.01/1.23 (define @t948 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t92) @t2))) % 1.01/1.23 (define @t949 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t222) @t2))) % 1.01/1.23 (define @t950 () (tptp.hBOOL (tptp.hAPP @t752 @t2))) % 1.01/1.23 (define @t951 () (not @t871)) % 1.01/1.23 (define @t952 () (tptp.hBOOL (tptp.hAPP @t190 @t167))) % 1.01/1.23 (define @t953 () (tptp.hBOOL (tptp.hAPP @t185 @t167))) % 1.01/1.23 (define @t954 () (= (tptp.hAPP @t6 @t4) @t61)) % 1.01/1.23 (define @t955 () (tptp.c_in @t71)) % 1.01/1.23 (define @t956 () (@var "V_r2" $$unsorted)) % 1.01/1.23 (define @t957 () (@var "V_r1" $$unsorted)) % 1.01/1.23 (define @t958 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t957 @t956 @t139 @t1 @t69 @t363))) % 1.01/1.23 (define @t959 () (@var "V_z1" $$unsorted)) % 1.01/1.23 (define @t960 () (@var "V_y1" $$unsorted)) % 1.01/1.23 (define @t961 () (@var "V_z2" $$unsorted)) % 1.01/1.23 (define @t962 () (@var "V_y2" $$unsorted)) % 1.01/1.23 (define @t963 () (tptp.c_in (tptp.tc_prod @t69 @t69))) % 1.01/1.23 (define @t964 () (tptp.c_HOL_Ozero__class_Ozero @t69)) % 1.01/1.23 (define @t965 () (= @t608 @t964)) % 1.01/1.23 (define @t966 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1 @t38 @t139 @t1 @t69)) % 1.01/1.23 (define @t967 () (@list @t69 @t139 @t38 @t1)) % 1.01/1.23 (define @t968 () (tptp.c_Finite__Set_Osetsum @t69 @t1)) % 1.01/1.23 (define @t969 () (tptp.hAPP @t968 @t139)) % 1.01/1.23 (define @t970 () (tptp.hAPP @t969 @t38)) % 1.01/1.23 (define @t971 () (@list @t1 @t69 @t139 @t38)) % 1.01/1.23 (define @t972 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 1.01/1.23 (define @t973 () (tptp.hAPP @t936 @t214)) % 1.01/1.23 (define @t974 () (tptp.hAPP @t936 @t120)) % 1.01/1.23 (define @t975 () (tptp.c_lessequals @t974 @t973 @t36)) % 1.01/1.23 (define @t976 () (tptp.c_lessequals @t120 @t214 @t36)) % 1.01/1.23 (define @t977 () (@list @t1 @t120 @t214)) % 1.01/1.23 (define @t978 () (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Relation_OImage @t54 @t823 @t69 @t1)))) % 1.01/1.23 (define @t979 () (tptp.c_in @t512)) % 1.01/1.23 (define @t980 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 @t794) @t54))) % 1.01/1.23 (define @t981 () (tptp.hAPP @t147 @t536)) % 1.01/1.23 (define @t982 () (not (tptp.hBOOL (tptp.hAPP @t981 @t763)))) % 1.01/1.23 (define @t983 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t763 @t54 @t1)) % 1.01/1.23 (define @t984 () (not (tptp.hBOOL (tptp.hAPP @t148 @t763)))) % 1.01/1.23 (define @t985 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t763 @t120 @t1)) % 1.01/1.23 (define @t986 () (tptp.c_Wellfounded_Owf @t815 @t1)) % 1.01/1.23 (define @t987 () (not @t986)) % 1.01/1.23 (define @t988 () (tptp.hBOOL (tptp.hAPP @t470 @t524))) % 1.01/1.23 (define @t989 () (not @t988)) % 1.01/1.23 (define @t990 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t38 @t3 @t54 @t69 @t1)) % 1.01/1.23 (define @t991 () (tptp.c_in @t69)) % 1.01/1.23 (define @t992 () (@list @t69 @t38 @t3 @t54 @t1)) % 1.01/1.23 (define @t993 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t38 @t3 @t54 @t69 @t1)) % 1.01/1.23 (define @t994 () (tptp.hAPP @t671 @t18)) % 1.01/1.23 (define @t995 () (tptp.hBOOL (tptp.hAPP @t994 @t216))) % 1.01/1.23 (define @t996 () (@list @t1 @t18 @t120 @t214)) % 1.01/1.23 (define @t997 () (tptp.c_HOL_Oone__class_Oone @t69)) % 1.01/1.23 (define @t998 () (= (tptp.c_Finite__Set_Osetprod @t139 @t146 @t1 @t69) @t997)) % 1.01/1.23 (define @t999 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1 @t146 @t139 @t1 @t69)) % 1.01/1.23 (define @t1000 () (@list @t69 @t139 @t146 @t1)) % 1.01/1.23 (define @t1001 () (tptp.c_Transitive__Closure_Otrancl @t54 @t1)) % 1.01/1.23 (define @t1002 () (tptp.hAPP @t671 @t769)) % 1.01/1.23 (define @t1003 () (tptp.hBOOL (tptp.hAPP @t1002 @t1001))) % 1.01/1.23 (define @t1004 () (tptp.c_Wellfounded_Oacc @t54 @t1)) % 1.01/1.23 (define @t1005 () (tptp.hBOOL (tptp.hAPP @t639 @t1004))) % 1.01/1.23 (define @t1006 () (not @t1005)) % 1.01/1.23 (define @t1007 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t439 @t54 @t1)) % 1.01/1.23 (define @t1008 () (tptp.c_Wellfounded_Oacc @t54 tptp.t_a)) % 1.01/1.23 (define @t1009 () (tptp.c_in tptp.t_a)) % 1.01/1.23 (define @t1010 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1009 @t18) @t1008)))) % 1.01/1.23 (define @t1011 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t439 @t54)) % 1.01/1.23 (define @t1012 () (@list @t439 @t18 @t54)) % 1.01/1.23 (define @t1013 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t439 @t54 @t1)) % 1.01/1.23 (define @t1014 () (@list @t439 @t4 @t1 @t54)) % 1.01/1.23 (define @t1015 () (tptp.c_Wellfounded_Oacc @t120 @t1)) % 1.01/1.23 (define @t1016 () (tptp.hBOOL (tptp.hAPP @t148 @t1015))) % 1.01/1.23 (define @t1017 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t120 @t18 @t1)) % 1.01/1.23 (define @t1018 () (@list @t1 @t120 @t18)) % 1.01/1.23 (define @t1019 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t439 @t54)) % 1.01/1.23 (define @t1020 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t54 @t18 @t1)) % 1.01/1.23 (define @t1021 () (tptp.hBOOL (tptp.hAPP @t148 @t1004))) % 1.01/1.23 (define @t1022 () (@list @t1 @t18 @t54)) % 1.01/1.23 (define @t1023 () (tptp.c_Relation_Orel__comp @t120 @t120 @t1 @t1 @t1)) % 1.01/1.23 (define @t1024 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1023 (tptp.c_Relation_Orel__comp @t214 @t120 @t1 @t1 @t1) @t52) @t214 @t52) @t1)) % 1.01/1.23 (define @t1025 () (@list @t120 @t1)) % 1.01/1.23 (define @t1026 () (tptp.c_Relation_Oantisym @t397 @t1)) % 1.01/1.23 (define @t1027 () (not @t819)) % 1.01/1.23 (define @t1028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t63) @t2))) % 1.01/1.23 (define @t1029 () (@list @t69 @t1 @t139 @t38)) % 1.01/1.23 (define @t1030 () (not (tptp.hBOOL (tptp.hAPP @t924 @t105)))) % 1.01/1.23 (define @t1031 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t806) @t805))) % 1.01/1.23 (define @t1032 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1 @t38 @t139 @t1 @t69)) % 1.01/1.23 (define @t1033 () (tptp.hAPP (tptp.c_HOL_Oord__class_Oless @t69) @t964)) % 1.01/1.23 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t1033 @t298))) % 1.01/1.23 (define @t1035 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t69))) % 1.01/1.23 (define @t1036 () (tptp.tc_fun @t1 @t1)) % 1.01/1.23 (define @t1037 () (tptp.c_COMBB @t45 @t139 @t1 @t1036 @t69)) % 1.01/1.23 (define @t1038 () (@list @t1 @t69 @t139 @t38 @t54)) % 1.01/1.23 (define @t1039 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t69))) % 1.01/1.23 (define @t1040 () (tptp.hAPP (tptp.hAPP @t968 @t174) @t38)) % 1.01/1.23 (define @t1041 () (@list @t1 @t69 @t139 @t174 @t38)) % 1.01/1.23 (define @t1042 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1 @t38 @t139 @t1 @t69)) % 1.01/1.23 (define @t1043 () (= @t298 @t964)) % 1.01/1.23 (define @t1044 () (not @t1043)) % 1.01/1.23 (define @t1045 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t69))) % 1.01/1.23 (define @t1046 () (tptp.c_Product__Type_OSigma @t38 @t40 @t1 @t69)) % 1.01/1.23 (define @t1047 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t4 @t3 @t54 @t1)) % 1.01/1.23 (define @t1048 () (@list @t1 @t4 @t3 @t54)) % 1.01/1.23 (define @t1049 () (tptp.hAPP @t671 (tptp.c_Pair @t18 @t256 @t1 @t1))) % 1.01/1.23 (define @t1050 () (not (tptp.hBOOL (tptp.hAPP @t1049 @t57)))) % 1.01/1.23 (define @t1051 () (= @t18 @t256)) % 1.01/1.23 (define @t1052 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t54 @t18 @t256 @t1)) % 1.01/1.23 (define @t1053 () (@list @t1 @t54 @t18 @t256)) % 1.01/1.23 (define @t1054 () (@list @t1 @t18 @t54 @t256)) % 1.01/1.23 (define @t1055 () (@list @t439 @t4 @t3 @t54 @t1)) % 1.01/1.23 (define @t1056 () (@list @t439 @t3 @t4 @t54 @t1)) % 1.01/1.23 (define @t1057 () (tptp.hAPP @t671 (tptp.c_Pair @t19 @t256 @t1 @t1))) % 1.01/1.23 (define @t1058 () (tptp.c_Transitive__Closure_Ortrancl @t54 tptp.t_a)) % 1.01/1.23 (define @t1059 () (@var "V_a2" $$unsorted)) % 1.01/1.23 (define @t1060 () (@var "V_a1" $$unsorted)) % 1.01/1.23 (define @t1061 () (tptp.c_in (tptp.tc_prod tptp.t_a tptp.t_a))) % 1.01/1.23 (define @t1062 () (tptp.hAPP @t1061 (tptp.c_Pair @t1060 @t1059 tptp.t_a tptp.t_a))) % 1.01/1.23 (define @t1063 () (not (tptp.hBOOL (tptp.hAPP @t1062 @t1058)))) % 1.01/1.23 (define @t1064 () (= @t1059 @t1060)) % 1.01/1.23 (define @t1065 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t1060 @t1059 @t54)) % 1.01/1.23 (define @t1066 () (@list @t1060 @t1059 @t54)) % 1.01/1.23 (define @t1067 () (tptp.hBOOL (tptp.hAPP @t439 @t19))) % 1.01/1.23 (define @t1068 () (@list @t439 @t4 @t19 @t1 @t54)) % 1.01/1.23 (define @t1069 () (@var "V_Ra" $$unsorted)) % 1.01/1.23 (define @t1070 () (tptp.c_Finite__Set_Osetsum @t363 @t1)) % 1.01/1.23 (define @t1071 () (tptp.tc_fun @t363 tptp.tc_bool)) % 1.01/1.23 (define @t1072 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t54 @t1)) % 1.01/1.23 (define @t1073 () (tptp.hAPP @t671 (tptp.c_Pair @t18 @t18 @t1 @t1))) % 1.01/1.23 (define @t1074 () (tptp.hBOOL (tptp.hAPP @t1073 @t54))) % 1.01/1.23 (define @t1075 () (not @t1074)) % 1.01/1.23 (define @t1076 () (tptp.hBOOL (tptp.hAPP @t1049 @t1001))) % 1.01/1.23 (define @t1077 () (not @t1076)) % 1.01/1.23 (define @t1078 () (tptp.hBOOL (tptp.hAPP @t1049 @t54))) % 1.01/1.23 (define @t1079 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t54 @t18 @t256 @t1)) % 1.01/1.23 (define @t1080 () (tptp.c_Transitive__Closure_Otrancl @t120 @t1)) % 1.01/1.23 (define @t1081 () (tptp.hBOOL (tptp.hAPP @t850 @t1080))) % 1.01/1.23 (define @t1082 () (not @t1081)) % 1.01/1.23 (define @t1083 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t120 @t18 @t19 @t1)) % 1.01/1.23 (define @t1084 () (@list @t1 @t18 @t120 @t19)) % 1.01/1.23 (define @t1085 () (tptp.c_Transitive__Closure_Otrancl @t54 tptp.t_a)) % 1.01/1.23 (define @t1086 () (not (tptp.hBOOL (tptp.hAPP @t1062 @t1085)))) % 1.01/1.23 (define @t1087 () (tptp.hBOOL (tptp.hAPP @t1062 @t54))) % 1.01/1.23 (define @t1088 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t1060 @t1059 @t54)) % 1.01/1.23 (define @t1089 () (tptp.hBOOL (tptp.hAPP @t672 @t1001))) % 1.01/1.23 (define @t1090 () (not @t1089)) % 1.01/1.23 (define @t1091 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t4 @t3 @t54 @t1)) % 1.01/1.23 (define @t1092 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t120 @t18 @t19 @t1)) % 1.01/1.23 (define @t1093 () (@list @t1 @t120 @t18 @t19)) % 1.01/1.23 (define @t1094 () (tptp.c_Finite__Set_Osetprod @t139 @t38 @t69 @t1)) % 1.01/1.23 (define @t1095 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t4 @t31 @t1 @t69)) (tptp.c_Relation_Orel__comp @t54 @t53 @t1 @t363 @t69))))) % 1.01/1.23 (define @t1096 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t4 @t31 @t54 @t53 @t1 @t69 @t363)) % 1.01/1.23 (define @t1097 () (tptp.c_in @t497)) % 1.01/1.23 (define @t1098 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t769 @t1)) % 1.01/1.23 (define @t1099 () (tptp.c_COMBB @t452 @t139 tptp.tc_nat @t1 @t69)) % 1.01/1.23 (define @t1100 () (@list @t1 @t139 @t38 @t69)) % 1.01/1.23 (define @t1101 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 @t31) @t811)))) % 1.01/1.23 (define @t1102 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t38 @t31 @t1)) % 1.01/1.23 (define @t1103 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1001 @t396 @t52)) % 1.01/1.23 (define @t1104 () (tptp.c_Relation_Orel__comp @t57 @t54 @t1 @t1 @t1)) % 1.01/1.23 (define @t1105 () (tptp.c_Relation_Orel__comp @t582 @t54 @t1 @t1 @t1)) % 1.01/1.23 (define @t1106 () (@list @t54 @t1 @t38)) % 1.01/1.23 (define @t1107 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t54 @t1)) % 1.01/1.23 (define @t1108 () (tptp.c_Relation_Oirrefl @t54 @t1)) % 1.01/1.23 (define @t1109 () (tptp.hAPP @t139 @t19)) % 1.01/1.23 (define @t1110 () (tptp.c_Wellfounded_Omlex__prod @t139 @t120 @t1)) % 1.01/1.23 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t850 @t1110))) % 1.01/1.23 (define @t1112 () (@list @t1 @t18 @t19 @t139 @t120)) % 1.01/1.23 (define @t1113 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t54 @t1)) % 1.01/1.23 (define @t1114 () (tptp.c_Nitpick_Orefl_H @t54 @t1)) % 1.01/1.23 (define @t1115 () (tptp.hBOOL (tptp.hAPP @t190 @t453))) % 1.01/1.23 (define @t1116 () (not (tptp.hBOOL (tptp.hAPP @t926 @t763)))) % 1.01/1.23 (define @t1117 () (@list @t69 @t1 @t38 @t3 @t54)) % 1.01/1.23 (define @t1118 () (tptp.c_HOL_Oinverse__class_Odivide @t69)) % 1.01/1.23 (define @t1119 () (tptp.hBOOL (tptp.hAPP @t639 @t70))) % 1.01/1.23 (define @t1120 () (not @t1119)) % 1.01/1.23 (define @t1121 () (@list @t1 @t69 @t4 @t54)) % 1.01/1.23 (define @t1122 () (@list @t439 @t18 @t19 @t54)) % 1.01/1.23 (define @t1123 () (@var "V_ya" $$unsorted)) % 1.01/1.23 (define @t1124 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1009 @t1123) @t1008))) % 1.01/1.23 (define @t1125 () (@list @t439 @t18 @t1123 @t54)) % 1.01/1.23 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t639 @t793))) % 1.01/1.23 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t639 @t214))) % 1.01/1.23 (define @t1128 () (tptp.c_fequal @t1)) % 1.01/1.23 (define @t1129 () (tptp.c_COMBC (tptp.c_COMBS (tptp.c_COMBB @t937 (tptp.hAPP (tptp.c_COMBC @t1128 @t1 @t1 tptp.tc_bool) @t4) tptp.tc_bool @t935 @t1) @t3 @t1 @t69 @t934) @t1 @t69 @t69)) % 1.01/1.23 (define @t1130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t991 @t31) @t38))) % 1.01/1.23 (define @t1131 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t991 @t80) @t38))) % 1.01/1.23 (define @t1132 () (not @t1131)) % 1.01/1.23 (define @t1133 () (tptp.c_Set_Ovimage (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC @t938 @t1 @t69 @t934) @t31) @t1 @t69 @t69) @t80) @t38 @t1 @t69)) % 1.01/1.23 (define @t1134 () (@list @t69 @t1 @t40 @t31 @t80 @t38)) % 1.01/1.23 (define @t1135 () (not @t1130)) % 1.01/1.23 (define @t1136 () (tptp.hAPP @t979 (tptp.c_Pair @t3 @t4 @t69 @t1))) % 1.01/1.23 (define @t1137 () (tptp.hBOOL (tptp.hAPP @t1136 @t54))) % 1.01/1.23 (define @t1138 () (tptp.hAPP @t955 @t72)) % 1.01/1.23 (define @t1139 () (tptp.hBOOL (tptp.hAPP @t1138 @t521))) % 1.01/1.23 (define @t1140 () (not (tptp.hBOOL (tptp.hAPP @t1138 @t54)))) % 1.01/1.23 (define @t1141 () (tptp.c_Relation_Oconverse @t54 @t1 @t69)) % 1.01/1.23 (define @t1142 () (@list @t69 @t1 @t3 @t4 @t54)) % 1.01/1.23 (define @t1143 () (tptp.hAPP @t671 (tptp.c_Pair @t18 @t4 @t1 @t1))) % 1.01/1.23 (define @t1144 () (not (tptp.hBOOL (tptp.hAPP @t1143 @t54)))) % 1.01/1.23 (define @t1145 () (tptp.c_COMBC (tptp.c_COMBS (tptp.c_COMBB @t937 (tptp.hAPP @t1128 @t4) tptp.tc_bool @t935 @t1) @t3 @t1 @t69 @t934) @t1 @t69 @t69)) % 1.01/1.23 (define @t1146 () (tptp.c_Finite__Set_Osetprod (tptp.hAPP @t1145 @t997) @t214 @t1 @t69)) % 1.01/1.23 (define @t1147 () (@list @t69 @t1 @t4 @t3 @t214)) % 1.01/1.23 (define @t1148 () (not @t1127)) % 1.01/1.23 (define @t1149 () (tptp.hAPP @t3 @t4)) % 1.01/1.23 (define @t1150 () (tptp.hAPP (tptp.hAPP @t175 (tptp.hAPP @t1145 @t964)) @t214)) % 1.01/1.23 (define @t1151 () (tptp.hBOOL (tptp.hAPP @t148 (tptp.c_Relation_ODomain @t120 @t1 @t1)))) % 1.01/1.23 (define @t1152 () (tptp.hBOOL (tptp.hAPP @t850 @t218))) % 1.01/1.23 (define @t1153 () (not @t1152)) % 1.01/1.23 (define @t1154 () (tptp.hBOOL (tptp.hAPP @t1073 @t218))) % 1.01/1.23 (define @t1155 () (@list @t1 @t18 @t120)) % 1.01/1.23 (define @t1156 () (tptp.hAPP @t671 (tptp.c_Pair @t3 @t4 @t1 @t1))) % 1.01/1.23 (define @t1157 () (not (tptp.hBOOL (tptp.hAPP @t1156 @t57)))) % 1.01/1.23 (define @t1158 () (tptp.hBOOL (tptp.hAPP @t470 @t1004))) % 1.01/1.23 (define @t1159 () (@list @t1 @t3 @t54 @t4)) % 1.01/1.23 (define @t1160 () (not (tptp.hBOOL (tptp.hAPP @t1002 @t54)))) % 1.01/1.23 (define @t1161 () (@list @t1 @t769 @t54)) % 1.01/1.23 (define @t1162 () (tptp.hAPP @t671 (tptp.c_Pair @t3 @t31 @t1 @t1))) % 1.01/1.23 (define @t1163 () (not (tptp.hBOOL (tptp.hAPP @t1162 @t57)))) % 1.01/1.23 (define @t1164 () (tptp.hAPP @t671 (tptp.c_Pair @t4 @t31 @t1 @t1))) % 1.01/1.23 (define @t1165 () (tptp.hBOOL (tptp.hAPP @t1164 @t1001))) % 1.01/1.23 (define @t1166 () (@list @t1 @t4 @t31 @t54 @t3)) % 1.01/1.23 (define @t1167 () (not (tptp.hBOOL (tptp.hAPP @t1162 @t54)))) % 1.01/1.23 (define @t1168 () (@list @t1 @t18 @t19 @t120)) % 1.01/1.23 (define @t1169 () (tptp.hAPP @t671 @t814)) % 1.01/1.23 (define @t1170 () (tptp.hBOOL (tptp.hAPP @t1169 @t57))) % 1.01/1.23 (define @t1171 () (tptp.c_Transitive__Closure_Ortrancl @t582 @t1)) % 1.01/1.23 (define @t1172 () (tptp.hBOOL (tptp.hAPP @t850 @t1171))) % 1.01/1.23 (define @t1173 () (@list @t1 @t19 @t18 @t54)) % 1.01/1.23 (define @t1174 () (tptp.c_Transitive__Closure_Otrancl @t582 @t1)) % 1.01/1.23 (define @t1175 () (tptp.hBOOL (tptp.hAPP @t850 @t1174))) % 1.01/1.23 (define @t1176 () (tptp.c_Relation_Oconverse @t1001 @t1 @t1)) % 1.01/1.23 (define @t1177 () (tptp.hBOOL (tptp.hAPP @t850 @t1176))) % 1.01/1.23 (define @t1178 () (tptp.hAPP @t991 @t140)) % 1.01/1.23 (define @t1179 () (tptp.hBOOL (tptp.hAPP @t639 @t784))) % 1.01/1.23 (define @t1180 () (tptp.hBOOL (tptp.hAPP @t1178 @t40))) % 1.01/1.23 (define @t1181 () (tptp.hAPP @t147 @t140)) % 1.01/1.23 (define @t1182 () (tptp.hAPP @t991 @t4)) % 1.01/1.23 (define @t1183 () (tptp.c_Relation_Osym @t582 @t1)) % 1.01/1.23 (define @t1184 () (not (= @t150 @t964))) % 1.01/1.23 (define @t1185 () (@list @t69 @t139 @t18 @t1 @t38)) % 1.01/1.23 (define @t1186 () (tptp.hAPP @t184 @t454)) % 1.01/1.23 (define @t1187 () (tptp.c_Relation_Orefl__on @t38 @t582 @t1)) % 1.01/1.23 (define @t1188 () (@list @t38 @t54 @t1)) % 1.01/1.23 (define @t1189 () (tptp.c_Wellfounded_Owf @t1023 @t1)) % 1.01/1.23 (define @t1190 () (= @t582 @t54)) % 1.01/1.23 (define @t1191 () (tptp.c_Finite__Set_Ofinite @t38 @t69)) % 1.01/1.23 (define @t1192 () (tptp.c_Relation_Oinv__image @t54 @t139 @t1 @t69)) % 1.01/1.23 (define @t1193 () (@list @t54 @t139 @t1 @t69)) % 1.01/1.23 (define @t1194 () (tptp.c_Relation_Orel__comp @t54 @t57 @t1 @t1 @t1)) % 1.01/1.23 (define @t1195 () (@var "T_d" $$unsorted)) % 1.01/1.23 (define @t1196 () (= @t1105 @t54)) % 1.01/1.23 (define @t1197 () (@list @t54 @t1 @t69)) % 1.01/1.23 (define @t1198 () (tptp.c_Relation_Oantisym @t582 @t1)) % 1.01/1.23 (define @t1199 () (tptp.c_Relation_ODomain @t521 @t1 @t69)) % 1.01/1.23 (define @t1200 () (@list @t54 @t69 @t1)) % 1.01/1.23 (define @t1201 () (tptp.c_Relation_Ototal__on @t38 @t582 @t1)) % 1.01/1.23 (define @t1202 () (tptp.c_Relation_Ototal__on @t38 @t54 @t1)) % 1.01/1.23 (define @t1203 () (not @t1202)) % 1.01/1.23 (define @t1204 () (tptp.hBOOL (tptp.hAPP @t689 @t18))) % 1.01/1.23 (define @t1205 () (tptp.hBOOL (tptp.hAPP @t38 @t150))) % 1.01/1.23 (define @t1206 () (tptp.c_Wellfounded_Omeasure @t139 @t1)) % 1.01/1.23 (define @t1207 () (not (tptp.hBOOL (tptp.hAPP @t1162 @t1001)))) % 1.01/1.23 (define @t1208 () (tptp.hBOOL (tptp.hAPP @t1164 @t57))) % 1.01/1.23 (define @t1209 () (tptp.hAPP @t671 (tptp.c_Pair @t4 @t4 @t1 @t1))) % 1.01/1.23 (define @t1210 () (@list @t1 @t4 @t54)) % 1.01/1.23 (define @t1211 () (tptp.hBOOL (tptp.hAPP @t1169 @t54))) % 1.01/1.23 (define @t1212 () (not @t1211)) % 1.01/1.23 (define @t1213 () (tptp.hBOOL (tptp.hAPP @t1156 @t54))) % 1.01/1.23 (define @t1214 () (not (tptp.hBOOL (tptp.hAPP @t850 @t811)))) % 1.01/1.23 (define @t1215 () (tptp.hBOOL (tptp.hAPP @t1209 @t54))) % 1.01/1.23 (define @t1216 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.c_Pair @t150 @t1109 @t69 @t69)) @t54))) % 1.01/1.23 (define @t1217 () (tptp.hBOOL (tptp.hAPP @t850 (tptp.c_Relation_Oinv__image @t54 @t139 @t69 @t1)))) % 1.01/1.23 (define @t1218 () (tptp.hBOOL (tptp.hAPP @t1186 @t453))) % 1.01/1.23 (define @t1219 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.01/1.23 (define @t1220 () (tptp.c_in @t1219)) % 1.01/1.23 (define @t1221 () (tptp.c_Finite__Set_Osetprod (tptp.hAPP @t1129 @t997) @t214 @t1 @t69)) % 1.01/1.23 (define @t1222 () (tptp.hAPP (tptp.hAPP @t175 (tptp.hAPP @t1129 @t964)) @t214)) % 1.01/1.23 (define @t1223 () (tptp.hAPP @t991 @t3)) % 1.01/1.23 (define @t1224 () (tptp.hBOOL (tptp.hAPP @t1223 (tptp.hAPP @t40 @t4)))) % 1.01/1.23 (define @t1225 () (tptp.hBOOL (tptp.hAPP @t1138 @t1046))) % 1.01/1.23 (define @t1226 () (@list @t1 @t19 @t38 @t18 @t54)) % 1.01/1.23 (define @t1227 () (@list @t1 @t18 @t38 @t19 @t54)) % 1.01/1.23 (define @t1228 () (@list @t1 @t4 @t54 @t69 @t18)) % 1.01/1.23 (define @t1229 () (not @t1225)) % 1.01/1.23 (define @t1230 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t150) @t1109))) % 1.01/1.23 (define @t1231 () (not @t1230)) % 1.01/1.23 (define @t1232 () (tptp.hBOOL (tptp.hAPP @t850 @t1206))) % 1.01/1.23 (define @t1233 () (tptp.tc_fun @t1219 tptp.tc_bool)) % 1.01/1.23 (define @t1234 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t1233)) % 1.01/1.23 (define @t1235 () (tptp.tc_fun @t1233 @t1233)) % 1.01/1.23 (define @t1236 () (tptp.tc_fun @t1233 @t1235)) % 1.01/1.23 (define @t1237 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 1.01/1.23 (define @t1238 () (tptp.c_HOL_OIf @t1233)) % 1.01/1.23 (define @t1239 () (tptp.c_COMBC (tptp.c_COMBB @t382 tptp.v_h____ tptp.tc_nat @t1237 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat tptp.tc_bool)) % 1.01/1.23 (define @t1240 () (tptp.v_F (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t1238 (tptp.hAPP @t1239 tptp.v_n____) tptp.tc_bool @t1236 tptp.tc_Arrow__Order__Mirabelle_Oindi) (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Omktop tptp.v_P____ @t1233 @t1234 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t1233) tptp.v_e____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1235) (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t1238 (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB (tptp.c_fequal tptp.tc_nat) tptp.v_h____ tptp.tc_nat @t1237 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat tptp.tc_bool) tptp.v_n____) tptp.tc_bool @t1236 tptp.tc_Arrow__Order__Mirabelle_Oindi) (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Oabove tptp.v_P____ @t1233 (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t1234) tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t1234) tptp.v_c____) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t1233) tptp.v_e____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1235) (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Omkbot tptp.v_P____ @t1233 @t1234 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t1233) tptp.v_e____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1233) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1233))) % 1.01/1.23 (define @t1241 () (tptp.hAPP @t1220 (tptp.c_Pair tptp.v_c____ tptp.v_d____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.01/1.23 (define @t1242 () (tptp.hBOOL (tptp.hAPP @t1241 @t1240))) % 1.01/1.23 (define @t1243 () (tptp.hBOOL (tptp.hAPP @t1241 (tptp.v_F tptp.v_P____)))) % 1.01/1.23 (define @t1244 () (@var "V_L" $$unsorted)) % 1.01/1.23 (define @t1245 () (tptp.hAPP @t1220 (tptp.c_Pair @t18 @t19 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.01/1.23 (define @t1246 () (tptp.hBOOL (tptp.hAPP @t1245 @t1244))) % 1.01/1.23 (define @t1247 () (not @t1246)) % 1.01/1.23 (define @t1248 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Omktop @t1244)) % 1.01/1.23 (define @t1249 () (tptp.hBOOL (tptp.hAPP @t1245 (tptp.hAPP @t1248 @t256)))) % 1.01/1.23 (define @t1250 () (@list @t18 @t19 @t1244 @t256)) % 1.01/1.23 (define @t1251 () (@var "V_b_H" $$unsorted)) % 1.01/1.23 (define @t1252 () (@var "V_a_H" $$unsorted)) % 1.01/1.23 (define @t1253 () (not (= @t72 (tptp.c_Pair @t1252 @t1251 @t1 @t69)))) % 1.01/1.23 (define @t1254 () (@list @t4 @t3 @t1 @t69 @t1252 @t1251)) % 1.01/1.23 (define @t1255 () (tptp.hAPP @t1248 @t18)) % 1.01/1.23 (define @t1256 () (tptp.hAPP @t1220 (tptp.c_Pair @t18 @t18 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.01/1.23 (define @t1257 () (@list @t18 @t1244)) % 1.01/1.23 (define @t1258 () (@list @t18 @t19 @t1244)) % 1.01/1.23 (define @t1259 () (tptp.hBOOL (tptp.hAPP @t924 @t122))) % 1.01/1.23 (define @t1260 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Omkbot @t1244)) % 1.01/1.23 (define @t1261 () (tptp.hAPP @t1260 @t18)) % 1.01/1.23 (define @t1262 () (tptp.hAPP @t1220 (tptp.c_Pair @t536 @t18 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.01/1.23 (define @t1263 () (@list @t536 @t18 @t1244)) % 1.01/1.23 (define @t1264 () (tptp.hBOOL (tptp.hAPP @t1245 (tptp.hAPP @t1260 @t256)))) % 1.01/1.23 (define @t1265 () (tptp.hBOOL (tptp.hAPP @t214 @t18))) % 1.01/1.23 (define @t1266 () (tptp.hAPP @t763 @t120)) % 1.01/1.23 (define @t1267 () (tptp.hAPP @t439 @t120)) % 1.01/1.23 (define @t1268 () (= @t536 @t18)) % 1.01/1.23 (define @t1269 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1220 (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t1238 (tptp.hAPP @t1239 (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat) tptp.v_n____) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) tptp.tc_bool @t1236 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1235) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t1233 @t1233) tptp.v_Lba____))))) % 1.01/1.23 (define @t1270 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1220 (tptp.c_Pair tptp.v_c____ tptp.v_e____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) @t1240))) % 1.01/1.23 (define @t1271 () (not @t1270)) % 1.01/1.23 (define @t1272 () (@var "T_2" $$unsorted)) % 1.01/1.23 (define @t1273 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1272))) % 1.01/1.23 (define @t1274 () (@var "T_1" $$unsorted)) % 1.01/1.23 (define @t1275 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1274))) % 1.01/1.23 (define @t1276 () (@list @t1272 @t1274)) % 1.01/1.23 (define @t1277 () (not (tptp.class_Lattices_Olattice @t1274))) % 1.01/1.23 (define @t1278 () (tptp.tc_fun @t1272 @t1274)) % 1.01/1.23 (define @t1279 () (@var "V_Y" $$unsorted)) % 1.01/1.23 (define @t1280 () (@var "V_X" $$unsorted)) % 1.01/1.23 (define @t1281 () (@list false)) % 1.01/1.23 (assume @p1 (forall @t14 (or @t13 @t12 @t11 @t10 @t9))) % 1.01/1.23 (assume @p2 (forall @t16 (or @t13 @t12 @t15 @t10 @t9))) % 1.01/1.23 (assume @p3 (forall @t14 (or @t13 @t12 @t11 @t17 @t9))) % 1.01/1.23 (assume @p4 (forall @t16 (or @t13 @t12 @t15 @t17 @t9))) % 1.01/1.23 (assume @p5 (forall @t25 (or @t24 (= @t23 (tptp.hAPP @t21 @t18))))) % 1.01/1.23 (assume @p6 (forall @t16 (or @t30 (= @t29 @t27)))) % 1.01/1.23 (assume @p7 (forall @t35 (or @t24 (= @t34 @t33)))) % 1.01/1.23 (assume @p8 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t37 @t36) @t37))) % 1.01/1.23 (assume @p9 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t40 @t36) @t37))) % 1.01/1.23 (assume @p10 (forall @t44 (or @t43 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t18 @t1) @t42)))) % 1.01/1.23 (assume @p11 (forall @t44 (or @t43 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t42 @t1) @t42)))) % 1.01/1.23 (assume @p12 (forall @t25 (or @t50 (tptp.c_lessequals @t2 @t49 @t1)))) % 1.01/1.23 (assume @p13 (forall @t59 (or @t58 @t55))) % 1.01/1.23 (assume @p14 (forall @t65 (or @t13 @t12 @t64 @t60))) % 1.01/1.23 (assume @p15 (forall @t65 (or @t13 @t12 @t11 (not @t64)))) % 1.01/1.23 (assume @p16 (forall (@list @t54 @t53 @t1) (or (tptp.c_Relation_Osym @t68 @t1) (not (tptp.c_Relation_Osym @t53 @t1)) @t67))) % 1.01/1.23 (assume @p17 (forall (@list @t4 @t3 @t1 @t69 @t54) (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t72 @t54 @t71) @t1 @t69) (tptp.c_Set_Oinsert @t4 @t70 @t1)))) % 1.01/1.23 (assume @p18 (forall @t75 (tptp.c_lessequals @t37 @t74 @t36))) % 1.01/1.23 (assume @p19 (forall (@list @t38 @t18 @t19 @t1) (or @t79 @t78 (not @t77)))) % 1.01/1.23 (assume @p20 (forall @t96 (or @t95 @t94 @t89))) % 1.01/1.23 (assume @p21 (forall @t97 (or @t95 @t88 (not @t94)))) % 1.01/1.23 (assume @p22 (forall @t101 (or @t95 @t100 @t89))) % 1.01/1.23 (assume @p23 (forall @t97 (or @t95 @t88 (not @t100)))) % 1.01/1.23 (assume @p24 (forall @t16 (or @t13 @t12 @t8 @t60 @t102))) % 1.01/1.23 (assume @p25 (forall @t16 (or @t13 @t12 @t8 @t104 @t103))) % 1.01/1.23 (assume @p26 (forall @t111 (or @t110 (tptp.c_lessequals @t109 @t108 @t1) (not (tptp.c_lessequals @t4 @t61 @t1)) @t103 @t107))) % 1.01/1.23 (assume @p27 (forall @t113 (= (tptp.c_Set_Oinsert @t18 @t112 @t1) @t112))) % 1.01/1.23 (assume @p28 (forall @t16 (or @t117 (= @t29 (tptp.hAPP @t116 @t114))))) % 1.01/1.23 (assume @p29 (forall @t121 (= (tptp.c_Relation_OImage @t120 @t119 @t69 @t1) @t37))) % 1.01/1.23 (assume @p30 (forall @t126 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t125 @t108 @t1) @t124))) % 1.01/1.23 (assume @p31 (forall @t132 (or @t131 @t30 @t130 @t129 @t127))) % 1.01/1.23 (assume @p32 (forall @t132 (or @t131 @t30 @t130 @t133 @t103))) % 1.01/1.23 (assume @p33 (forall (@list @t4 @t38 @t1 @t40) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t136 @t36) @t135))) % 1.01/1.23 (assume @p34 (forall (@list @t138 @t4 @t139 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in @t138) @t4) (tptp.c_Set_Ovimage @t139 (tptp.c_Set_Oinsert @t140 @t37 @t1) @t138 @t1))))) % 1.01/1.23 (assume @p35 (forall @t141 (not (= @t137 @t37)))) % 1.01/1.23 (assume @p36 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t142 @t36) @t142))) % 1.01/1.23 (assume @p37 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t142 @t40 @t36) @t142))) % 1.01/1.23 (assume @p38 (forall @t44 (or @t43 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t143 @t18 @t1) @t143)))) % 1.01/1.23 (assume @p39 (forall @t44 (or @t43 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t143 @t1) @t143)))) % 1.01/1.23 (assume @p40 (forall @t144 (= (tptp.c_Set_Ovimage @t139 (tptp.c_Orderings_Otop__class_Otop @t118) @t1 @t69) @t142))) % 1.01/1.23 (assume @p41 (forall @t44 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t42 @t18 @t1)))) % 1.01/1.23 (assume @p42 (forall @t145 (tptp.c_lessequals @t37 @t38 @t36))) % 1.01/1.23 (assume @p43 (forall (@list @t1 @t139 @t146 @t18) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Osetsum @t1 tptp.tc_nat) @t139) @t146) @t149)) @t152 (= @t150 @t149) (not (tptp.hBOOL (tptp.hAPP @t148 @t146)))))) % 1.01/1.23 (assume @p44 (forall @t97 (or @t154 @t153 (= @t93 @t80)))) % 1.01/1.23 (assume @p45 (forall @t97 (or @t154 @t153 (= @t31 @t99)))) % 1.01/1.23 (assume @p46 (forall (@list @t1 @t4 @t81 @t3 @t80) (or @t154 (= (tptp.hAPP @t86 @t99) @t84)))) % 1.01/1.23 (assume @p47 (forall @t160 (or @t159 @t156))) % 1.01/1.23 (assume @p48 (forall @t161 (or @t155 (not @t159)))) % 1.01/1.23 (assume @p49 (forall (@list @t1 @t40 @t38) (or (tptp.c_lessequals @t157 @t158 @t36) @t163))) % 1.01/1.23 (assume @p50 (forall @t14 (or @t170 @t169 @t165))) % 1.01/1.23 (assume @p51 (forall @t16 (or @t170 @t164 (not @t169)))) % 1.01/1.23 (assume @p52 (forall (@list @t69 @t1 @t174 @t38 @t40) (or @t181 (= (tptp.hAPP (tptp.hAPP @t177 @t180) (tptp.hAPP @t176 @t134)) @t178) @t173 @t172))) % 1.01/1.23 (assume @p53 (forall @t183 (or @t110 (tptp.c_lessequals @t61 @t108 @t1) @t182))) % 1.01/1.23 (assume @p54 (forall @t198 (or @t197 @t196 @t127 @t192 @t189 @t187))) % 1.01/1.23 (assume @p55 (forall @t199 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t136 @t36) (tptp.c_Set_Oinsert @t4 @t179 @t1)))) % 1.01/1.23 (assume @p56 (forall @t202 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t136 @t200 @t36) (tptp.c_Set_Oinsert @t4 @t201 @t1)))) % 1.01/1.23 (assume @p57 (forall @t210 (or @t209 @t208 @t204))) % 1.01/1.23 (assume @p58 (forall @t213 (or @t209 @t212 @t204))) % 1.01/1.23 (assume @p59 (forall @t220 (tptp.c_lessequals @t219 @t216 @t52))) % 1.01/1.23 (assume @p60 (forall @t210 (or @t13 @t12 @t228 @t224 @t221 @t165))) % 1.01/1.23 (assume @p61 (forall @t210 (or @t13 @t228 @t224 @t127 @t129))) % 1.01/1.23 (assume @p62 (forall (@list @t1 @t4 @t81 @t31 @t3) (or @t154 (= @t87 (tptp.hAPP @t83 @t93))))) % 1.01/1.23 (assume @p63 (forall @t231 (or @t117 @t15 @t230))) % 1.01/1.23 (assume @p64 (forall @t231 (or @t117 @t229 @t102))) % 1.01/1.23 (assume @p65 (forall @t231 (or @t117 @t17 @t233))) % 1.01/1.23 (assume @p66 (forall @t231 (or @t117 @t232 @t103))) % 1.01/1.23 (assume @p67 (forall @t231 (or @t234 @t15 @t230))) % 1.01/1.23 (assume @p68 (forall @t231 (or @t234 @t229 @t102))) % 1.01/1.23 (assume @p69 (forall @t231 (or @t234 @t17 @t233))) % 1.01/1.23 (assume @p70 (forall @t231 (or @t234 @t232 @t103))) % 1.01/1.23 (assume @p71 (forall @t183 (or @t110 (tptp.c_lessequals @t2 @t108 @t1) @t103))) % 1.01/1.23 (assume @p72 (forall (@list @t40 @t4 @t1) (tptp.c_lessequals @t40 @t136 @t36))) % 1.01/1.23 (assume @p73 (forall @t183 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Power_Opower__class_Opower @t167 @t106 @t1) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Power_Opower__class_Opower @t235 @t106 @t1)) @t108))))) % 1.01/1.23 (assume @p74 (forall @t237 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t61 @t236 @t1)))) % 1.01/1.23 (assume @p75 (forall (@list @t38 @t1 @t4) (or @t171 (not @t238)))) % 1.01/1.23 (assume @p76 (forall @t141 (or @t238 @t172))) % 1.01/1.23 (assume @p77 (forall @t75 (tptp.c_Finite__Set_Ofinite @t37 @t1))) % 1.01/1.23 (assume @p78 (forall (@list @t1 @t18 @t4) (or @t209 @t240 (not (= @t18 (tptp.hAPP @t22 @t4))) @t239))) % 1.01/1.23 (assume @p79 (forall @t132 (or @t13 @t12 @t247 @t246 @t244))) % 1.01/1.23 (assume @p80 (forall @t249 (or @t13 @t12 @t243 @t246 @t248))) % 1.01/1.23 (assume @p81 (forall @t213 (or @t13 @t12 @t252 @t246 @t251))) % 1.01/1.23 (assume @p82 (forall @t254 (or @t13 @t12 @t250 @t246 @t253))) % 1.01/1.23 (assume @p83 (forall @t260 (or @t13 (tptp.c_lessequals @t259 @t256 @t1) (not (tptp.c_lessequals @t18 @t257 @t1)) @t255))) % 1.01/1.23 (assume @p84 (forall @t261 (or @t13 (tptp.c_lessequals @t256 @t259 @t1) (not (tptp.c_lessequals @t257 @t18 @t1)) @t255))) % 1.01/1.23 (assume @p85 (forall @t254 (or @t197 @t186 @t127 @t263))) % 1.01/1.23 (assume @p86 (forall @t254 (or @t197 @t186 @t127 @t265))) % 1.01/1.23 (assume @p87 (forall @t254 (or @t266 @t186 @t127 @t263))) % 1.01/1.23 (assume @p88 (forall @t254 (or @t266 @t186 @t127 @t265))) % 1.01/1.23 (assume @p89 (forall @t16 (or @t209 (not (= @t270 @t269)) @t268 @t267))) % 1.01/1.23 (assume @p90 (forall @t44 (or @t274 @t273))) % 1.01/1.23 (assume @p91 (forall @t44 (or @t275 @t273))) % 1.01/1.23 (assume @p92 (forall @t231 (or @t275 (= (tptp.hAPP @t91 @t2) @t4)))) % 1.01/1.23 (assume @p93 (forall @t231 (or @t275 (= (tptp.hAPP @t91 @t4) @t2)))) % 1.01/1.23 (assume @p94 (forall @t44 (or @t209 @t240 @t273))) % 1.01/1.23 (assume @p95 (forall @t260 (or @t278 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 (tptp.hAPP (tptp.hAPP @t90 @t19) @t256) @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t256 @t1)) @t277))) % 1.01/1.23 (assume @p96 (forall @t283 (or @t282 @t281 @t152))) % 1.01/1.23 (assume @p97 (forall @t183 (or @t286 (= (tptp.hAPP @t285 @t4) @t284)))) % 1.01/1.23 (assume @p98 (forall @t292 (tptp.c_lessequals @t291 @t289 @t36))) % 1.01/1.23 (assume @p99 (forall @t296 (or (not @t295) @t293))) % 1.01/1.23 (assume @p100 (forall @t296 (or @t295 @t297))) % 1.01/1.23 (assume @p101 (forall (@list @t69 @t139 @t38 @t1 @t40) (or (not (tptp.class_Ring__and__Field_Odvd @t69)) @t299 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t298 (tptp.c_Finite__Set_Osetprod @t139 @t40 @t1 @t69) @t69) @t163 @t173))) % 1.01/1.23 (assume @p102 (forall @t213 (or @t13 @t12 @t304 @t303 @t245 @t301))) % 1.01/1.23 (assume @p103 (forall @t249 (or @t13 @t12 @t300 @t303 @t305 @t245))) % 1.01/1.23 (assume @p104 (forall @t249 (or @t13 @t12 @t300 @t307 @t305 @t245))) % 1.01/1.23 (assume @p105 (forall @t249 (or @t13 @t12 @t300 @t307 @t302 @t310))) % 1.01/1.23 (assume @p106 (forall @t132 (or @t13 @t12 @t309 @t303 @t245 @t312))) % 1.01/1.23 (assume @p107 (forall @t254 (or @t13 @t12 @t311 @t303 @t310 @t245))) % 1.01/1.23 (assume @p108 (forall @t254 (or @t13 @t12 @t311 @t314 @t310 @t245))) % 1.01/1.23 (assume @p109 (forall @t254 (or @t13 @t12 @t311 @t314 @t302 @t305))) % 1.01/1.23 (assume @p110 (forall @t317 (or @t24 (= (tptp.hAPP @t316 @t122) (tptp.hAPP (tptp.hAPP @t45 @t315) @t122))))) % 1.01/1.23 (assume @p111 (forall @t25 (or @t322 @t321 @t320 @t319 @t318))) % 1.01/1.23 (assume @p112 (forall @t25 (or @t322 @t321 @t320 @t319 @t323))) % 1.01/1.23 (assume @p113 (forall @t231 (or @t117 (not (= @t324 @t2)) @t239))) % 1.01/1.23 (assume @p114 (forall (@list @t38 @t1 @t18) (or (tptp.c_lessequals @t326 @t325 tptp.tc_nat) @t172))) % 1.01/1.23 (assume @p115 (forall @t254 (or @t328 (= (tptp.hAPP (tptp.hAPP @t5 @t92) @t31) (tptp.hAPP (tptp.hAPP @t90 @t327) @t242))))) % 1.01/1.23 (assume @p116 (forall @t97 (or @t95 @t330 (not @t329)))) % 1.01/1.23 (assume @p117 (forall @t101 (or @t95 @t329 @t331))) % 1.01/1.23 (assume @p118 (forall @t97 (or @t95 @t330 (not @t332)))) % 1.01/1.23 (assume @p119 (forall @t96 (or @t95 @t332 @t331))) % 1.01/1.23 (assume @p120 (forall @t335 (or @t181 @t334 @t173 @t172 (= @t180 @t178)))) % 1.01/1.23 (assume @p121 (forall @t16 (or @t338 @t337 @t336 @t239))) % 1.01/1.23 (assume @p122 (forall @t16 (or @t339 @t337 @t336 @t239))) % 1.01/1.23 (assume @p123 (forall @t16 (or @t339 @t337 @t239 @t336))) % 1.01/1.23 (assume @p124 (forall @t342 (or @t328 @t12 (= @t2 @t341)))) % 1.01/1.23 (assume @p125 (forall @t346 (or @t110 @t186 @t60 (not @t345)))) % 1.01/1.23 (assume @p126 (forall @t350 (or @t349 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t120 @t214 @t1 @t1 @t1) @t120 @t52)) (not (tptp.c_Wellfounded_Owf @t214 @t1)) @t348))) % 1.01/1.23 (assume @p127 (forall @t353 (or @t352 @t79 (not @t351)))) % 1.01/1.23 (assume @p128 (forall @t355 (or @t351 @t354))) % 1.01/1.23 (assume @p129 (forall @t355 (or @t351 @t356))) % 1.01/1.23 (assume @p130 (forall @t59 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t359 (tptp.c_Relation_ORange @t53 @t1 @t1) @t36) @t37)) (not (tptp.c_Wellfounded_Owf @t53 @t1)) @t358 (tptp.c_Wellfounded_Owf @t68 @t1)))) % 1.01/1.23 (assume @p131 (forall @t16 (or @t275 @t360 @t268))) % 1.01/1.23 (assume @p132 (forall @t16 (or @t275 @t360 (= @t167 @t3)))) % 1.01/1.23 (assume @p133 (forall (@list @t54 @t53 @t1 @t69 @t363) (or (tptp.c_Relation_Osingle__valued @t364 @t1 @t363) (not (tptp.c_Relation_Osingle__valued @t53 @t69 @t363)) @t362))) % 1.01/1.23 (assume @p134 (forall (@list @t38 @t40 @t1 @t54 @t53) (or (tptp.c_Relation_Orefl__on @t179 @t68 @t1) (not (tptp.c_Relation_Orefl__on @t40 @t53 @t1)) @t366))) % 1.01/1.23 (assume @p135 (forall @t260 (or @t371 @t370))) % 1.01/1.23 (assume @p136 (forall @t260 (or @t371 @t373))) % 1.01/1.23 (assume @p137 (forall @t260 (or @t374 @t373))) % 1.01/1.23 (assume @p138 (forall @t260 (or @t374 @t370))) % 1.01/1.23 (assume @p139 (forall @t296 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t134 @t200 @t36) @t376))) % 1.01/1.23 (assume @p140 (forall @t378 (= @t376 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t377 @t36)))) % 1.01/1.23 (assume @p141 (forall @t75 (or (tptp.hBOOL (tptp.hAPP @t383 @t381)) @t380))) % 1.01/1.23 (assume @p142 (forall @t25 (or @t50 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t49) @t2)))))) % 1.01/1.23 (assume @p143 (forall @t249 (or @t13 @t12 @t243 @t303 @t253 @t248))) % 1.01/1.23 (assume @p144 (forall @t254 (or @t13 @t12 @t250 @t303 @t248 @t253))) % 1.01/1.23 (assume @p145 (forall (@list @t1 @t384 @t19 @t18 @t256) (or @t209 @t240 (not (= (tptp.hAPP (tptp.hAPP @t20 @t389) @t388) (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t387 @t256)) @t386))) @t385 (= @t384 @t18)))) % 1.01/1.23 (assume @p146 (forall @t198 (or @t209 @t240 (not (= (tptp.hAPP @t391 @t193) (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t85 @t80)) @t211))) @t390 @t267))) % 1.01/1.23 (assume @p147 (forall (@list @t146 @t1 @t279) (or @t151 @t392))) % 1.01/1.23 (assume @p148 (forall (@list @t279 @t1 @t146) (or @t280 @t392))) % 1.01/1.23 (assume @p149 (forall @t44 (or @t43 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t42 @t1) @t18)))) % 1.01/1.23 (assume @p150 (forall @t44 (or @t43 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t18 @t1) @t18)))) % 1.01/1.23 (assume @p151 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t40 @t36) @t40))) % 1.01/1.23 (assume @p152 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t37 @t36) @t38))) % 1.01/1.23 (assume @p153 (forall @t16 (or @t322 @t395 @t394 @t102))) % 1.01/1.23 (assume @p154 (forall @t16 (or @t322 @t395 @t104 @t314))) % 1.01/1.23 (assume @p155 (forall @t398 (tptp.c_Relation_Orefl__on @t142 @t397 @t1))) % 1.01/1.23 (assume @p156 (forall @t75 (or @t50 (tptp.c_lessequals @t400 @t2 @t1)))) % 1.01/1.23 (assume @p157 (forall @t160 (or @t43 @t401 (= @t40 @t143)))) % 1.01/1.23 (assume @p158 (forall @t160 (or @t43 @t401 (= @t38 @t143)))) % 1.01/1.23 (assume @p159 (forall @t231 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t2 @t1)))) % 1.01/1.23 (assume @p160 (forall @t231 (or @t117 (not (= @t402 @t2)) @t239))) % 1.01/1.23 (assume @p161 (forall @t231 (or @t275 (not (= @t167 @t2)) @t239))) % 1.01/1.23 (assume @p162 (forall @t408 (or @t328 (= (tptp.hAPP @t407 @t406) (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP @t405 @t389)) @t404)) @t403 @t318))) % 1.01/1.23 (assume @p163 (forall @t420 (or @t24 (= @t419 (tptp.hAPP @t415 (tptp.hAPP @t411 @t409)))))) % 1.01/1.23 (assume @p164 (forall @t420 (or @t24 (= @t419 (tptp.hAPP @t414 (tptp.hAPP @t411 @t417)))))) % 1.01/1.23 (assume @p165 (forall @t420 (or @t24 (= @t419 (tptp.hAPP @t416 (tptp.hAPP @t418 @t409)))))) % 1.01/1.23 (assume @p166 (forall @t423 (or @t328 @t12 (= @t3 @t422) @t421))) % 1.01/1.23 (assume @p167 (forall @t423 (or @t328 @t12 (= @t422 @t3) @t421))) % 1.01/1.23 (assume @p168 (forall (@list @t38 @t1 @t120) (or @t424 (not (tptp.c_lessequals @t38 (tptp.c_Relation_OImage @t120 @t38 @t1 @t1) @t36)) @t348))) % 1.01/1.23 (assume @p169 (forall @t231 (or @t24 @t426))) % 1.01/1.23 (assume @p170 (forall @t231 (or @t24 @t428))) % 1.01/1.23 (assume @p171 (forall @t145 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t38 @t36) @t37))) % 1.01/1.23 (assume @p172 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t158 @t36) @t37))) % 1.01/1.23 (assume @p173 (forall @t44 (or @t430 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t429 @t18 @t1) @t42)))) % 1.01/1.23 (assume @p174 (forall @t44 (or @t430 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t429 @t1) @t42)))) % 1.01/1.23 (assume @p175 (forall @t44 (or @t24 (= (tptp.hAPP @t431 @t18) @t18)))) % 1.01/1.23 (assume @p176 (forall @t231 (or @t433 @t432))) % 1.01/1.23 (assume @p177 (forall @t231 (or @t286 @t432))) % 1.01/1.23 (assume @p178 (forall @t231 (or @t286 @t434))) % 1.01/1.23 (assume @p179 (forall @t231 (or @t24 @t434))) % 1.01/1.23 (assume @p180 (forall @t231 (or @t24 @t432))) % 1.01/1.23 (assume @p181 (forall @t132 (or @t131 @t30 @t435 @t133 @t307))) % 1.01/1.23 (assume @p182 (forall (@list @t1 @t3 @t436) (or @t437 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 (tptp.hAPP @t82 @t436) @t1)))) % 1.01/1.23 (assume @p183 (forall @t16 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t222 @t1)))) % 1.01/1.23 (assume @p184 (forall @t16 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t438 @t1)))) % 1.01/1.23 (assume @p185 (forall @t442 (or @t441 (not (tptp.hBOOL (tptp.hAPP @t439 @t440))) @t358))) % 1.01/1.23 (assume @p186 (forall @t451 (or @t13 @t450 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t384) @t256))) @t447 @t446 @t444))) % 1.01/1.23 (assume @p187 (forall @t183 (or @t328 @t12 (= (tptp.hAPP @t62 @t108) (tptp.c_Power_Opower__class_Opower (tptp.hAPP @t62 @t4) @t106 @t1))))) % 1.01/1.23 (assume @p188 (forall @t456 (or @t110 @t123 (not @t455)))) % 1.01/1.23 (assume @p189 (forall @t456 (or @t110 @t455 @t124))) % 1.01/1.23 (assume @p190 (forall @t16 (or @t328 @t458 @t336))) % 1.01/1.23 (assume @p191 (forall @t75 (or @t460 @t459 (= (tptp.c_Power_Opower__class_Opower @t2 @t149 @t1) @t61)))) % 1.01/1.23 (assume @p192 (forall (@list @t1 @t18 @t31 @t80) (or @t209 @t240 (= (tptp.hAPP (tptp.hAPP @t20 @t461) @t462) (tptp.hAPP (tptp.hAPP @t20 @t462) @t461))))) % 1.01/1.23 (assume @p193 (forall @t260 (or @t209 @t240 (= @t463 (tptp.hAPP @t405 @t386))))) % 1.01/1.23 (assume @p194 (forall (@list @t38 @t3 @t40 @t1) (or (tptp.c_lessequals @t38 @t464 @t36) @t163))) % 1.01/1.23 (assume @p195 (forall @t355 (or @t162 @t466))) % 1.01/1.23 (assume @p196 (forall @t231 (or @t117 @t17 (not @t467)))) % 1.01/1.23 (assume @p197 (forall @t231 (or @t117 @t467 @t103))) % 1.01/1.23 (assume @p198 (forall @t231 (or @t117 (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t167 @t1) @t2)) @t239))) % 1.01/1.23 (assume @p199 (forall @t231 (or @t468 @t117 (= @t402 @t167) @t314))) % 1.01/1.23 (assume @p200 (forall @t16 (or @t275 (= (tptp.hAPP (tptp.hAPP @t20 @t92) @t3) @t4)))) % 1.01/1.23 (assume @p201 (forall (@list @t3 @t4 @t1) (or (= @t3 @t4) (not (tptp.hBOOL (tptp.hAPP @t470 @t469)))))) % 1.01/1.23 (assume @p202 (forall @t198 (or @t473 (tptp.c_lessequals @t34 @t472 @t1) @t471 @t165))) % 1.01/1.23 (assume @p203 (forall @t476 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t201 @t38 @t36) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t475 @t474 @t36)))) % 1.01/1.23 (assume @p204 (forall @t378 (= @t294 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t134 @t377 @t36)))) % 1.01/1.23 (assume @p205 (forall @t260 (or @t480 (= @t479 @t477)))) % 1.01/1.23 (assume @p206 (forall @t482 (or @t480 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t478 @t18 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t481 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t256 @t18 @t1) @t1))))) % 1.01/1.23 (assume @p207 (forall @t25 (or @t24 (= @t386 @t483)))) % 1.01/1.23 (assume @p208 (forall @t75 (or @t117 @t485))) % 1.01/1.23 (assume @p209 (forall @t75 (or @t322 @t486 @t486 @t485))) % 1.01/1.23 (assume @p210 (forall @t16 (or @t24 (= @t222 @t438)))) % 1.01/1.23 (assume @p211 (forall @t254 (or @t488 @t487))) % 1.01/1.23 (assume @p212 (forall @t254 (or @t488 @t490))) % 1.01/1.23 (assume @p213 (forall @t254 (or @t117 @t487))) % 1.01/1.23 (assume @p214 (forall @t254 (or @t117 @t490))) % 1.01/1.23 (assume @p215 (forall @t16 (or @t322 (tptp.c_lessequals @t2 @t29 @t1) @t60 @t103))) % 1.01/1.23 (assume @p216 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t38 @t36) @t38))) % 1.01/1.23 (assume @p217 (forall @t44 (or @t491 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t1) @t18)))) % 1.01/1.23 (assume @p218 (forall (@list @t493 @t496 @t1 @t69 @t363 @t54 @t53) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t493 @t496 @t1 @t69 @t363) @t364 @t498) (not (tptp.c_lessequals @t496 @t53 (tptp.tc_fun @t495 tptp.tc_bool))) @t494))) % 1.01/1.23 (assume @p219 (forall @t44 (or @t500 (= @t499 @t235) @t443 @t323))) % 1.01/1.23 (assume @p220 (forall @t260 (or @t24 (= @t502 (tptp.hAPP (tptp.hAPP @t20 @t23) @t256))))) % 1.01/1.23 (assume @p221 (forall @t260 (or @t274 (= @t502 (tptp.hAPP @t21 @t503))))) % 1.01/1.23 (assume @p222 (forall @t254 (or @t30 @t507))) % 1.01/1.23 (assume @p223 (forall @t254 (or @t30 (= @t504 (tptp.hAPP @t26 @t34))))) % 1.01/1.23 (assume @p224 (forall @t254 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t507))) % 1.01/1.23 (assume @p225 (forall @t511 (or @t24 (= @t510 (tptp.hAPP @t508 @t80))))) % 1.01/1.23 (assume @p226 (forall @t254 (or @t24 (= @t506 (tptp.hAPP @t508 @t3))))) % 1.01/1.23 (assume @p227 (forall @t511 (or @t24 (= @t510 (tptp.hAPP @t32 (tptp.hAPP @t28 @t80)))))) % 1.01/1.23 (assume @p228 (forall @t254 (or @t24 @t507))) % 1.01/1.23 (assume @p229 (forall (@list @t120 @t214 @t69 @t1 @t38) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t214 @t513) @t38 @t69 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t288 (tptp.c_Relation_OImage @t214 @t38 @t69 @t1) @t36)))) % 1.01/1.23 (assume @p230 (forall @t292 (= (tptp.c_Relation_OImage @t120 @t514 @t69 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t288 @t287 @t36)))) % 1.01/1.23 (assume @p231 (forall @t231 (or @t275 (not (= @t2 @t167)) (= @t2 @t4)))) % 1.01/1.23 (assume @p232 (forall (@list @t439 @t516 @t120 @t1) (or (tptp.hBOOL (tptp.hAPP @t439 @t516)) (not (tptp.hBOOL (tptp.hAPP @t439 @t515))) @t348))) % 1.01/1.23 (assume @p233 (forall @t231 (or @t519 @t339 @t518 @t459 (not (= @t517 @t2))))) % 1.01/1.23 (assume @p234 (forall (@list @t1 @t18 @t19 @t256 @t520) (or @t274 (not (= @t502 (tptp.hAPP @t21 @t520))) (= @t503 @t520)))) % 1.01/1.23 (assume @p235 (forall (@list @t54 @t38 @t69 @t1 @t40) (or @t525 (not @t523)))) % 1.01/1.23 (assume @p236 (forall (@list @t38 @t69 @t54 @t1 @t40) (or @t523 (not @t525)))) % 1.01/1.23 (assume @p237 (forall (@list @t18 @t19 @t38 @t1) (= (tptp.c_Set_Oinsert @t18 @t76 @t1) (tptp.c_Set_Oinsert @t19 @t112 @t1)))) % 1.01/1.23 (assume @p238 (forall @t237 (or @t286 (= @t236 @t61)))) % 1.01/1.23 (assume @p239 (forall @t75 (tptp.c_Relation_Osingle__valued @t396 @t1 @t1))) % 1.01/1.23 (assume @p240 (forall @t231 (or @t170 @t15 (not @t526)))) % 1.01/1.23 (assume @p241 (forall @t231 (or @t170 @t526 @t102))) % 1.01/1.23 (assume @p242 (forall @t254 (or @t528 @t527))) % 1.01/1.23 (assume @p243 (forall @t254 (or @t528 @t529))) % 1.01/1.23 (assume @p244 (forall @t254 (or @t117 @t527))) % 1.01/1.23 (assume @p245 (forall @t254 (or @t117 @t529))) % 1.01/1.23 (assume @p246 (forall @t14 (or @t13 @t12 @t10 @t11 @t531))) % 1.01/1.23 (assume @p247 (forall @t16 (or @t13 @t12 @t15 @t11 @t531))) % 1.01/1.23 (assume @p248 (forall @t14 (or @t13 @t12 @t10 @t17 @t531))) % 1.01/1.23 (assume @p249 (forall @t16 (or @t13 @t12 @t15 @t17 @t531))) % 1.01/1.23 (assume @p250 (forall @t132 (or @t131 @t30 @t435 @t532 @t103))) % 1.01/1.23 (assume @p251 (forall @t533 (or @t110 (tptp.c_lessequals @t108 @t109 @t1) @t182 @t107))) % 1.01/1.23 (assume @p252 (forall @t39 (or @t171 (not @t534)))) % 1.01/1.23 (assume @p253 (forall @t535 (or @t110 (tptp.c_lessequals @t108 @t343 @t1) @t103 @t165))) % 1.01/1.23 (assume @p254 (forall (@list @t536 @t18 @t1) (= (tptp.c_Set_Oinsert @t536 @t537 @t1) (tptp.c_Set_Oinsert @t18 (tptp.c_Set_Oinsert @t536 @t37 @t1) @t1)))) % 1.01/1.23 (assume @p255 (forall (@list @t1 @t536 @t19 @t18) (or @t274 (not (= (tptp.hAPP (tptp.hAPP @t90 @t536) @t19) @t272)) (= @t536 @t19)))) % 1.01/1.23 (assume @p256 (forall (@list @t1 @t18 @t539 @t538) (or @t274 (not (= @t272 @t540)) (= @t539 @t538)))) % 1.01/1.23 (assume @p257 (forall @t25 (or @t430 (= @t542 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t541 @t1))))) % 1.01/1.23 (assume @p258 (forall @t132 (or @t50 @t128 @t544 @t303))) % 1.01/1.23 (assume @p259 (forall @t210 (or @t50 @t543 @t129 @t303))) % 1.01/1.23 (assume @p260 (forall @t254 (or @t50 @t164 @t544 @t246))) % 1.01/1.23 (assume @p261 (forall @t210 (or @t50 @t543 @t165 @t246))) % 1.01/1.23 (assume @p262 (forall @t254 (or @t197 @t164 @t246 @t544))) % 1.01/1.23 (assume @p263 (forall @t254 (or @t197 @t164 @t246 (not @t545)))) % 1.01/1.23 (assume @p264 (forall @t254 (or @t13 @t12 @t250 @t102 @t302 @t253))) % 1.01/1.23 (assume @p265 (forall @t254 (or @t13 @t12 @t250 @t102 @t248 @t245))) % 1.01/1.23 (assume @p266 (forall @t249 (or @t13 @t12 @t243 @t103 @t302 @t248))) % 1.01/1.23 (assume @p267 (forall @t249 (or @t13 @t12 @t243 @t103 @t253 @t245))) % 1.01/1.23 (assume @p268 (forall @t378 (= @t547 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t546 @t36)))) % 1.01/1.23 (assume @p269 (forall @t296 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t179 @t200 @t36) @t547))) % 1.01/1.23 (assume @p270 (forall @t260 (or @t491 @t550))) % 1.01/1.23 (assume @p271 (forall @t231 (or @t338 @t428))) % 1.01/1.23 (assume @p272 (forall @t65 (or @t338 (= @t551 @t2)))) % 1.01/1.23 (assume @p273 (forall @t231 (or @t518 @t428))) % 1.01/1.23 (assume @p274 (forall @t231 (or @t518 @t426))) % 1.01/1.23 (assume @p275 (forall @t44 (or @t24 (= (tptp.hAPP @t340 @t18) @t2)))) % 1.01/1.23 (assume @p276 (forall @t554 (or @t553 (not (tptp.c_lessequals @t552 @t326 tptp.tc_nat)) @t163 @t173))) % 1.01/1.23 (assume @p277 (forall @t75 (or @t430 (= (tptp.hAPP @t166 @t143) @t42)))) % 1.01/1.23 (assume @p278 (forall @t75 (= (tptp.hAPP @t73 @t142) @t37))) % 1.01/1.23 (assume @p279 (forall (@list @t1 @t4 @t122) (or @t24 (= (tptp.hAPP @t558 @t122) @t556)))) % 1.01/1.23 (assume @p280 (forall (@list @t1 @t122 @t4) (or @t24 (= (tptp.hAPP @t316 @t557) @t556)))) % 1.01/1.23 (assume @p281 (forall @t44 (not (tptp.hBOOL (tptp.hAPP @t37 @t18))))) % 1.01/1.23 (assume @p282 (forall @t75 (not (= @t142 @t37)))) % 1.01/1.23 (assume @p283 (forall @t563 (or @t562 @t560 @t334))) % 1.01/1.23 (assume @p284 (forall @t44 (or @t43 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t143 @t1) @t18)))) % 1.01/1.23 (assume @p285 (forall @t44 (or @t43 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t143 @t18 @t1) @t18)))) % 1.01/1.23 (assume @p286 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t142 @t40 @t36) @t40))) % 1.01/1.23 (assume @p287 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t142 @t36) @t38))) % 1.01/1.23 (assume @p288 (forall @t260 (or @t371 (tptp.c_lessequals @t566 @t565 @t1)))) % 1.01/1.23 (assume @p289 (forall @t65 (or @t13 @t12 @t10 (not @t567)))) % 1.01/1.23 (assume @p290 (forall @t65 (or @t13 @t12 @t567 @t104))) % 1.01/1.23 (assume @p291 (forall @t25 (or @t371 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t369 @t1) @t18)))) % 1.01/1.23 (assume @p292 (forall (@list @t439 @t569 @t54 @t1) (or (tptp.hBOOL (tptp.hAPP @t439 @t569)) (not (tptp.hBOOL (tptp.hAPP @t439 @t568))) @t358))) % 1.01/1.23 (assume @p293 (forall @t573 (or @t328 @t421 @t572))) % 1.01/1.23 (assume @p294 (forall @t573 (or @t328 @t421 @t574))) % 1.01/1.23 (assume @p295 (forall @t35 (or @t328 @t12 @t574 @t421))) % 1.01/1.23 (assume @p296 (forall @t35 (or @t328 @t12 @t572 @t421))) % 1.01/1.23 (assume @p297 (forall @t576 (or @t575 (not (tptp.c_lessequals @t106 @t149 tptp.tc_nat))))) % 1.01/1.23 (assume @p298 (forall @t44 (tptp.hBOOL (tptp.hAPP @t142 @t18)))) % 1.01/1.23 (assume @p299 (forall @t39 (or @t577 @t171))) % 1.01/1.23 (assume @p300 (forall @t25 (or @t430 (not (= @t429 @t541)) @t578))) % 1.01/1.23 (assume @p301 (forall @t16 (or @t275 (not (= @t167 @t168)) @t267))) % 1.01/1.23 (assume @p302 (forall @t160 (or (not (= @t158 @t157)) @t553))) % 1.01/1.23 (assume @p303 (forall @t346 (or @t328 @t12 @t579))) % 1.01/1.23 (assume @p304 (forall @t183 (or @t110 (tptp.hBOOL (tptp.hAPP @t580 @t284)) @t581))) % 1.01/1.23 (assume @p305 (forall @t585 (or @t584 (not @t583)))) % 1.01/1.23 (assume @p306 (forall @t585 (or @t583 @t586))) % 1.01/1.23 (assume @p307 (forall @t554 (or @t553 @t156 @t163))) % 1.01/1.23 (assume @p308 (forall @t590 (or @t589 @t588 @t124))) % 1.01/1.23 (assume @p309 (forall @t25 (or @t593 @t578 @t592 @t446))) % 1.01/1.23 (assume @p310 (forall @t25 (or @t593 @t578 @t446 @t592))) % 1.01/1.23 (assume @p311 (forall (@list @t69 @t174 @t38 @t40 @t1) (or @t299 (= (tptp.hAPP (tptp.hAPP @t595 @t597) (tptp.c_Finite__Set_Osetprod @t174 @t134 @t1 @t69)) @t596) @t173 @t172))) % 1.01/1.23 (assume @p312 (forall @t16 (or @t170 @t164 (not @t598)))) % 1.01/1.23 (assume @p313 (forall @t16 (or @t170 @t598 @t165))) % 1.01/1.23 (assume @p314 (forall @t335 (or @t299 @t334 @t173 @t172 (= @t597 @t596)))) % 1.01/1.23 (assume @p315 (forall @t25 (or @t371 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t549 @t1) @t18)))) % 1.01/1.23 (assume @p316 (forall @t25 (or @t491 (= @t549 @t18) @t592))) % 1.01/1.23 (assume @p317 (forall @t25 (or @t491 (not @t599) @t445))) % 1.01/1.23 (assume @p318 (forall @t25 (or @t491 @t599 @t446))) % 1.01/1.23 (assume @p319 (forall @t554 (or @t600 @t163))) % 1.01/1.23 (assume @p320 (forall @t554 (or (= @t179 @t38) @t156))) % 1.01/1.23 (assume @p321 (forall @t554 (or (not @t600) @t162))) % 1.01/1.23 (assume @p322 (forall @t16 (or @t275 (= (tptp.hAPP @t601 @t29) @t3)))) % 1.01/1.23 (assume @p323 (forall (@list @t1 @t256 @t19) (or @t274 (= (tptp.hAPP (tptp.hAPP @t20 @t602) @t501) @t19)))) % 1.01/1.23 (assume @p324 (forall @t213 (or @t24 @t604 (not @t603) @t204))) % 1.01/1.23 (assume @p325 (forall @t231 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t4 @t1)))) % 1.01/1.23 (assume @p326 (forall @t16 (or @t13 @t12 @t530 @t60 @t103))) % 1.01/1.23 (assume @p327 (forall @t16 (or @t13 @t12 @t530 @t104 @t102))) % 1.01/1.23 (assume @p328 (forall @t451 (or @t13 (tptp.c_lessequals @t449 @t448 @t1) @t605 @t447 @t446 @t319))) % 1.01/1.23 (assume @p329 (forall @t609 (or (not (tptp.class_OrderedGroup_Oab__group__add @t69)) (= (tptp.hAPP @t606 @t179) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t69) (tptp.hAPP (tptp.hAPP @t177 @t608) (tptp.hAPP @t606 @t40))) @t607)) @t173 @t172))) % 1.01/1.23 (assume @p330 (forall @t614 (or @t613 @t611 @t610))) % 1.01/1.23 (assume @p331 (forall @t614 (or @t613 @t615 @t610))) % 1.01/1.23 (assume @p332 (forall @t614 (or @t613 @t611 @t616))) % 1.01/1.23 (assume @p333 (forall @t614 (or @t613 @t615 @t616))) % 1.01/1.23 (assume @p334 (forall @t16 (or @t209 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t427 (tptp.hAPP @t82 @t2) @t1)))) % 1.01/1.23 (assume @p335 (forall @t16 (or @t209 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t425 @t551 @t1)))) % 1.01/1.23 (assume @p336 (forall @t213 (or @t131 @t617 @t165))) % 1.01/1.23 (assume @p337 (forall @t254 (or @t131 @t164 (not @t617)))) % 1.01/1.23 (assume @p338 (forall @t210 (or @t131 @t619 @t165))) % 1.01/1.23 (assume @p339 (forall @t254 (or @t131 @t164 (not @t619)))) % 1.01/1.23 (assume @p340 (forall @t213 (or @t473 @t617 @t165))) % 1.01/1.23 (assume @p341 (forall @t210 (or @t473 @t619 @t165))) % 1.01/1.23 (assume @p342 (forall (@list @t1 @t18 @t19 @t256 @t384) (or @t328 @t12 (= (tptp.hAPP @t621 (tptp.hAPP (tptp.hAPP @t5 @t256) @t384)) (tptp.hAPP @t620 (tptp.hAPP @t46 @t384)))))) % 1.01/1.23 (assume @p343 (forall @t16 (or @t154 (= @t623 @t622)))) % 1.01/1.23 (assume @p344 (forall @t16 (or @t154 (= @t623 @t625)))) % 1.01/1.23 (assume @p345 (forall @t113 (or (= @t325 @t326) @t560 @t172))) % 1.01/1.23 (assume @p346 (forall @t59 (or @t58 (not (tptp.c_lessequals @t54 @t56 @t52))))) % 1.01/1.23 (assume @p347 (forall @t16 (or @t117 @t627 (not @t626)))) % 1.01/1.23 (assume @p348 (forall @t16 (or @t117 @t626 @t628))) % 1.01/1.23 (assume @p349 (forall @t210 (or @t13 @t629 @t224 @t303 @t187))) % 1.01/1.23 (assume @p350 (forall @t210 (or @t13 @t629 @t224 @t246 @t631))) % 1.01/1.23 (assume @p351 (forall @t145 (or @t379 (not @t632) @t172))) % 1.01/1.23 (assume @p352 (forall @t145 (or @t632 @t380 @t172))) % 1.01/1.23 (assume @p353 (forall @t39 (or @t424 (not (tptp.c_lessequals @t38 @t37 @t36))))) % 1.01/1.23 (assume @p354 (forall @t75 (or @t634 @t633))) % 1.01/1.23 (assume @p355 (forall @t75 (or @t500 @t633))) % 1.01/1.23 (assume @p356 (forall @t75 (tptp.c_lessequals @t37 @t37 @t36))) % 1.01/1.23 (assume @p357 (forall @t75 (or @t275 (= @t2 @t635)))) % 1.01/1.23 (assume @p358 (forall @t25 (or @t636 (= (tptp.hAPP @t47 @t386) @t386)))) % 1.01/1.23 (assume @p359 (forall (@list @t1 @t4 @t38) (not (= @t37 @t137)))) % 1.01/1.23 (assume @p360 (forall @t183 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t637 @t239))) % 1.01/1.23 (assume @p361 (forall @t183 (or @t519 @t339 @t518 @t459 @t637 @t239))) % 1.01/1.23 (assume @p362 (forall @t231 (or @t170 @t638 @t103))) % 1.01/1.23 (assume @p363 (forall @t231 (or @t170 @t17 (not @t638)))) % 1.01/1.23 (assume @p364 (forall @t198 (or @t197 @t196 @t246 @t103 @t471 @t187))) % 1.01/1.23 (assume @p365 (forall @t198 (or @t197 @t196 @t127 @t307 @t189 @t165))) % 1.01/1.23 (assume @p366 (forall @t231 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t61 @t4 @t1)))) % 1.01/1.23 (assume @p367 (forall @t202 (or (= @t641 (tptp.c_Set_Oinsert @t4 @t375 @t1)) (not @t640)))) % 1.01/1.23 (assume @p368 (forall @t199 (or (= @t644 @t135) @t643))) % 1.01/1.23 (assume @p369 (forall @t260 (or @t491 @t645))) % 1.01/1.23 (assume @p370 (forall @t260 (or @t371 @t645))) % 1.01/1.23 (assume @p371 (forall @t260 (or @t371 @t550))) % 1.01/1.23 (assume @p372 (forall @t16 (or @t328 @t12 @t647))) % 1.01/1.23 (assume @p373 (forall @t554 (or (= @t134 @t38) @t163))) % 1.01/1.23 (assume @p374 (forall @t554 (or (= @t134 @t40) @t156))) % 1.01/1.23 (assume @p375 (forall @t25 (or @t374 @t648 @t446))) % 1.01/1.23 (assume @p376 (forall @t25 (or @t374 (not @t648) @t445))) % 1.01/1.23 (assume @p377 (forall @t25 (or @t374 (= @t369 @t19) @t592))) % 1.01/1.23 (assume @p378 (forall @t296 (or @t653 @t652 @t650))) % 1.01/1.23 (assume @p379 (forall @t161 (tptp.c_lessequals @t40 @t179 @t36))) % 1.01/1.23 (assume @p380 (forall @t554 (tptp.c_lessequals @t38 @t179 @t36))) % 1.01/1.23 (assume @p381 (forall @t659 (or @t491 @t658 @t657 @t655))) % 1.01/1.23 (assume @p382 (forall @t25 (or @t491 @t660))) % 1.01/1.23 (assume @p383 (forall @t662 (or @t491 @t661))) % 1.01/1.23 (assume @p384 (forall @t482 (or @t491 (tptp.c_lessequals @t478 @t18 @t1) (not @t663) @t592))) % 1.01/1.23 (assume @p385 (forall @t260 (or @t491 @t668 @t667 @t665))) % 1.01/1.23 (assume @p386 (forall @t662 (or @t371 @t661))) % 1.01/1.23 (assume @p387 (forall @t25 (or @t371 @t660))) % 1.01/1.23 (assume @p388 (forall @t554 (= @t134 @t475))) % 1.01/1.23 (assume @p389 (forall @t25 (or @t374 @t669))) % 1.01/1.23 (assume @p390 (forall @t25 (or @t371 @t669))) % 1.01/1.23 (assume @p391 (forall @t585 (or @t584 @t358))) % 1.01/1.23 (assume @p392 (forall @t677 (or (tptp.c_lessequals @t676 @t675 @t36) @t674 @t670))) % 1.01/1.23 (assume @p393 (forall (@list @t1 @t4 @t81 @t3 @t31) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.hAPP @t86 (tptp.hAPP @t83 @t31)) (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t678 @t81)) @t31))))) % 1.01/1.23 (assume @p394 (forall @t260 (or @t371 (tptp.c_lessequals @t477 @t479 @t1)))) % 1.01/1.23 (assume @p395 (forall (@list @t214 @t1 @t120) (or (= @t217 @t218) (not (tptp.c_lessequals @t214 @t218 @t52)) (not (tptp.c_lessequals @t120 @t214 @t52))))) % 1.01/1.23 (assume @p396 (forall @t231 (or @t275 @t679))) % 1.01/1.23 (assume @p397 (forall @t231 (or @t275 (= (tptp.hAPP @t28 @t167) @t2)))) % 1.01/1.23 (assume @p398 (forall @t231 (or @t274 @t679))) % 1.01/1.23 (assume @p399 (forall @t65 (or @t275 (= (tptp.hAPP @t680 @t3) @t2)))) % 1.01/1.23 (assume @p400 (forall @t25 (or @t430 (not (= @t549 @t143)) (not (= @t369 @t42)) (= @t429 @t19)))) % 1.01/1.23 (assume @p401 (forall (@list @t4 @t1 @t3) (or (not (= @t469 @t612)) @t267))) % 1.01/1.23 (assume @p402 (forall @t296 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t134 @t375 @t36) @t474 @t36) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t179 @t201 @t36) @t681 @t36)))) % 1.01/1.23 (assume @p403 (forall @t231 (or @t24 @t239 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t4 @t1))))) % 1.01/1.23 (assume @p404 (forall @t535 (or @t110 @t345 @t683 @t103 @t187))) % 1.01/1.23 (assume @p405 (forall @t25 (or @t209 @t240 (not (= @t542 @t2)) @t578))) % 1.01/1.23 (assume @p406 (forall @t16 (or @t275 @t684 @t267))) % 1.01/1.23 (assume @p407 (forall @t16 (or @t274 @t684 @t267))) % 1.01/1.23 (assume @p408 (forall @t25 (or @t50 @t323 @t685))) % 1.01/1.23 (assume @p409 (forall @t662 (or @t50 @t318 @t685))) % 1.01/1.23 (assume @p410 (forall @t145 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t38 @t36) @t142))) % 1.01/1.23 (assume @p411 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t158 @t36) @t142))) % 1.01/1.23 (assume @p412 (forall @t44 (or @t430 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t429 @t18 @t1) @t143)))) % 1.01/1.23 (assume @p413 (forall @t44 (or @t430 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t429 @t1) @t143)))) % 1.01/1.23 (assume @p414 (forall @t65 (or @t328 @t12 (= @t686 @t2)))) % 1.01/1.23 (assume @p415 (forall @t231 (or @t328 @t12 (= (tptp.hAPP @t6 @t2) @t2)))) % 1.01/1.23 (assume @p416 (forall @t231 (or @t328 (= (tptp.hAPP @t687 @t4) @t2)))) % 1.01/1.23 (assume @p417 (forall (@list @t18 @t536 @t1) (or (not (= (tptp.c_Set_Oinsert @t18 @t536 @t1) @t37)) (tptp.hBOOL (tptp.hAPP @t148 @t536))))) % 1.01/1.23 (assume @p418 (forall @t576 (tptp.c_lessequals @t149 @t106 tptp.tc_nat))) % 1.01/1.23 (assume @p419 (forall @t16 (or @t322 @t688 @t192 @t103))) % 1.01/1.23 (assume @p420 (forall @t16 (or @t322 @t688 @t60 @t307))) % 1.01/1.23 (assume @p421 (forall (@list @t139 @t69 @t38 @t1) (= (tptp.c_Set_Ovimage @t139 (tptp.hAPP @t522 @t38) @t1 @t69) (tptp.hAPP @t73 @t689)))) % 1.01/1.23 (assume @p422 (forall @t16 (or @t50 @t690 @t104 @t103))) % 1.01/1.23 (assume @p423 (forall @t16 (or @t50 @t690 @t60 @t102))) % 1.01/1.23 (assume @p424 (forall @t16 (or @t691 @t690 @t104 @t103))) % 1.01/1.23 (assume @p425 (forall @t16 (or @t691 @t690 @t60 @t102))) % 1.01/1.23 (assume @p426 (forall @t14 (or @t691 (tptp.c_lessequals @t438 @t2 @t1) @t104 @t103))) % 1.01/1.23 (assume @p427 (forall @t563 (or @t561 @t466))) % 1.01/1.23 (assume @p428 (forall (@list @t693 @t692 @t1 @t200 @t69) (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t693 @t692 @t36) @t200 @t1 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t693 @t200 @t1 @t69) (tptp.c_Product__Type_OSigma @t692 @t200 @t1 @t69) @t492)))) % 1.01/1.23 (assume @p429 (forall (@list @t19 @t38 @t1 @t18) (or @t77 @t356))) % 1.01/1.23 (assume @p430 (forall @t260 (or @t209 @t240 (not (= @t23 @t503)) @t385))) % 1.01/1.23 (assume @p431 (forall @t254 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t694 @t615))) % 1.01/1.23 (assume @p432 (forall @t254 (or @t695 @t694 @t615))) % 1.01/1.23 (assume @p433 (forall @t132 (or @t695 (not (= @t27 @t33)) @t615))) % 1.01/1.23 (assume @p434 (forall @t698 (or @t697 @t163 @t559))) % 1.01/1.23 (assume @p435 (forall @t355 (or @t162 @t559 @t699))) % 1.01/1.23 (assume @p436 (forall @t355 (or @t162 @t699 @t559))) % 1.01/1.23 (assume @p437 (forall @t75 (or @t328 @t12 (= (tptp.hAPP @t687 @t2) @t2)))) % 1.01/1.23 (assume @p438 (forall (@list @t139 @t38 @t69 @t1 @t40) (or (tptp.c_lessequals @t701 @t700 @t118) @t163))) % 1.01/1.23 (assume @p439 (forall @t231 (or @t328 (= (tptp.hAPP @t6 @t61) @t4)))) % 1.01/1.23 (assume @p440 (forall @t199 (or (= @t644 @t134) @t642))) % 1.01/1.23 (assume @p441 (forall @t202 (or (= @t641 @t375) @t640))) % 1.01/1.23 (assume @p442 (forall @t25 (or @t634 (tptp.c_lessequals @t386 @t18 @t1) @t702 @t320 @t319))) % 1.01/1.23 (assume @p443 (forall @t662 (or @t634 (tptp.c_lessequals @t483 @t18 @t1) @t702 @t320 @t319))) % 1.01/1.23 (assume @p444 (forall @t25 (or @t13 @t706 @t705 @t703))) % 1.01/1.23 (assume @p445 (forall @t25 (or @t13 @t706 @t255 @t319))) % 1.01/1.23 (assume @p446 (forall (@list @t1 @t18 @t106 @t19) (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t707 (tptp.c_Power_Opower__class_Opower @t19 @t106 @t1) @t1) @t277))) % 1.01/1.23 (assume @p447 (forall @t554 (or @t708 (= @t40 @t37)))) % 1.01/1.23 (assume @p448 (forall @t554 (or @t708 @t424))) % 1.01/1.23 (assume @p449 (forall @t160 (or @t43 @t709 (= @t38 @t42)))) % 1.01/1.23 (assume @p450 (forall @t160 (or @t43 @t709 (= @t40 @t42)))) % 1.01/1.23 (assume @p451 (forall @t39 (or (not (= @t326 @t381)) @t380 (= @t38 @t142)))) % 1.01/1.23 (assume @p452 (forall (@list @t214 @t710 @t1 @t363 @t120 @t69) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t214 @t710 @t498) @t120 @t1 @t363 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t214 @t120 @t1 @t363 @t69) (tptp.c_Relation_Orel__comp @t710 @t120 @t1 @t363 @t69) @t492)))) % 1.01/1.23 (assume @p453 (forall (@list @t120 @t214 @t710 @t363 @t69 @t1) (= (tptp.c_Relation_Orel__comp @t120 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t214 @t710 (tptp.tc_fun @t711 tptp.tc_bool)) @t1 @t363 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t120 @t214 @t1 @t363 @t69) (tptp.c_Relation_Orel__comp @t120 @t710 @t1 @t363 @t69) @t492)))) % 1.01/1.23 (assume @p454 (forall (@list @t200 @t40 @t1 @t38) (or @t714 @t713))) % 1.01/1.23 (assume @p455 (forall (@list @t200 @t38 @t1 @t40) (or @t293 @t713))) % 1.01/1.23 (assume @p456 (forall @t718 (or @t374 @t717 @t716))) % 1.01/1.23 (assume @p457 (forall (@list @t1 @t18 @t3 @t4) (or @t374 @t719 @t716))) % 1.01/1.23 (assume @p458 (forall @t659 (or @t374 @t720 @t655))) % 1.01/1.23 (assume @p459 (forall @t659 (or @t374 @t720 @t657))) % 1.01/1.23 (assume @p460 (forall @t260 (or @t374 @t445 @t722))) % 1.01/1.23 (assume @p461 (forall @t723 (or @t374 @t664 @t722))) % 1.01/1.23 (assume @p462 (forall @t25 (or @t278 @t276 (not @t724)))) % 1.01/1.23 (assume @p463 (forall @t25 (or @t278 @t724 @t277))) % 1.01/1.23 (assume @p464 (forall @t25 (or @t278 @t276 (not @t725)))) % 1.01/1.23 (assume @p465 (forall @t231 (or @t459 (= @t517 @t61)))) % 1.01/1.23 (assume @p466 (forall @t44 (or @t24 (= (tptp.c_Power_Opower__class_Opower @t18 @t149 @t1) @t61)))) % 1.01/1.23 (assume @p467 (forall @t398 (tptp.c_Relation_Ototal__on @t37 @t54 @t1))) % 1.01/1.23 (assume @p468 (forall @t728 (or (tptp.c_lessequals @t179 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t200 @t726 @t36) @t36) @t727 @t650))) % 1.01/1.23 (assume @p469 (forall (@list @t139 @t4 @t3 @t1 @t69) (or (= @t140 @t3) (not (tptp.hBOOL (tptp.hAPP @t639 (tptp.c_Set_Ovimage @t139 (tptp.c_Set_Oinsert @t3 @t119 @t69) @t1 @t69))))))) % 1.01/1.23 (assume @p470 (forall (@list @t54 @t53 @t69 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t53 @t513) @t69 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t521 (tptp.c_Relation_Oconverse @t53 @t69 @t1) @t492)))) % 1.01/1.23 (assume @p471 (forall @t237 (or @t460 @t459 @t729 @t575))) % 1.01/1.23 (assume @p472 (forall @t237 (or @t519 @t339 @t518 @t459 @t729 @t575))) % 1.01/1.23 (assume @p473 (forall @t25 (or @t371 @t730))) % 1.01/1.23 (assume @p474 (forall @t25 (or @t371 @t731))) % 1.01/1.23 (assume @p475 (forall @t260 (or @t374 @t721 @t665 @t446))) % 1.01/1.23 (assume @p476 (forall @t718 (or @t374 @t715 @t733 @t732))) % 1.01/1.23 (assume @p477 (forall @t25 (or @t374 @t731))) % 1.01/1.23 (assume @p478 (forall @t25 (or @t374 @t730))) % 1.01/1.23 (assume @p479 (forall @t554 (tptp.c_lessequals @t134 @t38 @t36))) % 1.01/1.23 (assume @p480 (forall @t554 (tptp.c_lessequals @t134 @t40 @t36))) % 1.01/1.23 (assume @p481 (forall (@list @t200 @t38 @t40 @t1) (or @t712 (not @t714) @t297))) % 1.01/1.23 (assume @p482 (forall @t39 (tptp.c_lessequals @t38 @t142 @t36))) % 1.01/1.23 (assume @p483 (forall @t44 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t18 @t143 @t1)))) % 1.01/1.23 (assume @p484 (forall @t231 (or @t634 (not @t735) @t313))) % 1.01/1.23 (assume @p485 (forall @t231 (or @t634 @t735 @t314))) % 1.01/1.23 (assume @p486 (forall @t16 (or @t154 (= @t625 @t622)))) % 1.01/1.23 (assume @p487 (forall (@list @t1 @t18 @t106 @t19 @t122) (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t707 (tptp.c_Power_Opower__class_Opower @t19 @t122 @t1) @t1) @t588 @t277))) % 1.01/1.23 (assume @p488 (forall @t14 (or @t50 @t11 @t10 @t736))) % 1.01/1.23 (assume @p489 (forall @t16 (or @t50 @t15 @t10 @t736))) % 1.01/1.23 (assume @p490 (forall @t14 (or @t50 @t11 @t17 @t736))) % 1.01/1.23 (assume @p491 (forall @t16 (or @t50 @t15 @t17 @t736))) % 1.01/1.23 (assume @p492 (forall @t75 (or @t234 @t737))) % 1.01/1.23 (assume @p493 (forall @t16 (or @t275 (= (tptp.hAPP @t28 (tptp.hAPP @t601 @t3)) @t3)))) % 1.01/1.23 (assume @p494 (forall @t75 (or @t275 @t737))) % 1.01/1.23 (assume @p495 (forall @t482 (or @t480 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t367 @t18 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t738 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t256 @t18 @t1) @t1))))) % 1.01/1.23 (assume @p496 (forall @t260 (or @t480 (= @t566 @t565)))) % 1.01/1.23 (assume @p497 (forall @t378 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t375 @t36) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t179 @t546 @t36)))) % 1.01/1.23 (assume @p498 (forall @t476 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t375 @t38 @t36) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t739 @t681 @t36)))) % 1.01/1.23 (assume @p499 (forall @t113 (tptp.hBOOL (tptp.hAPP @t112 @t18)))) % 1.01/1.23 (assume @p500 (forall @t740 (or @t465 @t163 @t562))) % 1.01/1.23 (assume @p501 (forall @t249 (or @t24 @t603 @t741))) % 1.01/1.23 (assume @p502 (forall @t213 (or @t24 @t604 @t741))) % 1.01/1.23 (assume @p503 (forall @t254 (or @t24 @t742 @t204))) % 1.01/1.23 (assume @p504 (forall @t254 (or @t24 @t742 @t743))) % 1.01/1.23 (assume @p505 (forall @t75 (or @t430 (= (tptp.hAPP @t166 @t42) @t143)))) % 1.01/1.23 (assume @p506 (forall @t75 (= @t74 @t142))) % 1.01/1.23 (assume @p507 (forall @t25 (or @t371 @t744))) % 1.01/1.23 (assume @p508 (forall @t25 (or @t374 @t744))) % 1.01/1.23 (assume @p509 (forall @t554 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t134 @t36) @t134))) % 1.01/1.23 (assume @p510 (forall @t231 (or @t117 @t745 @t102))) % 1.01/1.23 (assume @p511 (forall @t231 (or @t117 @t15 (not @t745)))) % 1.01/1.23 (assume @p512 (forall @t292 (or (= @t291 @t289) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t120 @t69 @t1) @t1 @t69))))) % 1.01/1.23 (assume @p513 (forall @t346 (or @t328 @t579 @t336))) % 1.01/1.23 (assume @p514 (forall @t183 (or @t110 (tptp.hBOOL (tptp.hAPP @t344 @t284)) @t581))) % 1.01/1.23 (assume @p515 (forall @t198 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t194 @t193 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t31 @t80 @t1)) @t204))) % 1.01/1.23 (assume @p516 (forall @t213 (or @t95 @t545 @t221 @t129))) % 1.01/1.23 (assume @p517 (forall @t210 (or @t95 @t543 @t221 @t129))) % 1.01/1.23 (assume @p518 (forall @t213 (or @t746 @t545 @t127 @t165))) % 1.01/1.23 (assume @p519 (forall @t210 (or @t746 @t543 @t127 @t165))) % 1.01/1.23 (assume @p520 (forall @t210 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t543 @t127 @t165))) % 1.01/1.23 (assume @p521 (forall @t231 (or @t468 @t117 (= @t402 @t4) @t313))) % 1.01/1.23 (assume @p522 (forall (@list @t1 @t18 @t54 @t31 @t80) (or @t209 @t240 (not (= (tptp.hAPP @t22 (tptp.hAPP @t747 @t31)) (tptp.hAPP @t22 (tptp.hAPP @t747 @t80)))) @t390 (= @t54 @t2)))) % 1.01/1.23 (assume @p523 (forall @t75 (or @t748 @t379))) % 1.01/1.23 (assume @p524 (forall @t25 (or @t50 @t749 @t318))) % 1.01/1.23 (assume @p525 (forall @t25 (or @t50 @t749 @t323))) % 1.01/1.23 (assume @p526 (forall (@list @t38 @t40 @t69 @t1) (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t40 @t513) @t69 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ORange @t38 @t69 @t1) (tptp.c_Relation_ORange @t40 @t69 @t1) @t36)))) % 1.01/1.23 (assume @p527 (tptp.c_lessequals @t149 @t149 tptp.tc_nat)) % 1.01/1.23 (assume @p528 (forall @t213 (or @t13 @t12 @t252 @t303 @t245 @t244))) % 1.01/1.23 (assume @p529 (forall @t249 (or @t13 @t12 @t243 @t303 @t253 @t245))) % 1.01/1.23 (assume @p530 (forall @t132 (or @t13 @t12 @t247 @t303 @t245 @t251))) % 1.01/1.23 (assume @p531 (forall @t254 (or @t13 @t12 @t250 @t303 @t248 @t245))) % 1.01/1.23 (assume @p532 (forall @t44 (or @t374 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t18 @t1) @t18)))) % 1.01/1.23 (assume @p533 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t38 @t36) @t38))) % 1.01/1.23 (assume @p534 (forall @t261 (or @t13 (tptp.hBOOL (tptp.hAPP @t750 @t259)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t257) @t18))) @t255))) % 1.01/1.23 (assume @p535 (forall @t260 (or @t13 (tptp.hBOOL (tptp.hAPP @t752 @t256)) (not (tptp.hBOOL (tptp.hAPP @t751 @t257))) @t255))) % 1.01/1.23 (assume @p536 (forall @t132 (or @t13 @t12 @t309 @t246 @t301))) % 1.01/1.23 (assume @p537 (forall @t249 (or @t13 @t12 @t300 @t246 @t310))) % 1.01/1.23 (assume @p538 (forall @t213 (or @t13 @t12 @t304 @t246 @t312))) % 1.01/1.23 (assume @p539 (forall @t254 (or @t13 @t12 @t311 @t246 @t305))) % 1.01/1.23 (assume @p540 (forall @t482 (or @t491 @t666 @t753))) % 1.01/1.23 (assume @p541 (forall @t723 (or @t491 @t664 @t753))) % 1.01/1.23 (assume @p542 (forall @t718 (or @t491 @t754 @t733))) % 1.01/1.23 (assume @p543 (forall @t718 (or @t491 @t754 @t732))) % 1.01/1.23 (assume @p544 (forall (@list @t1 @t3 @t18 @t4) (or @t491 @t656 @t755))) % 1.01/1.23 (assume @p545 (forall (@list @t1 @t4 @t18 @t3) (or @t491 @t654 @t755))) % 1.01/1.23 (assume @p546 (forall @t757 (or @t649 @t756))) % 1.01/1.23 (assume @p547 (forall @t476 (or @t651 @t756))) % 1.01/1.23 (assume @p548 (forall (@list @t1 @t18 @t106) (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t18 @t707 @t1) @t683))) % 1.01/1.23 (assume @p549 (forall @t261 (or @t593 @t663 @t758 @t592))) % 1.01/1.23 (assume @p550 (forall @t16 (or @t322 @t626 @t104 @t102))) % 1.01/1.23 (assume @p551 (forall (@list @t1 @t4 @t122 @t3 @t106) (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t125 @t3 @t1) @t124 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t108 @t3 @t1))))) % 1.01/1.23 (assume @p552 (forall @t723 (or @t759 @t664 @t667 @t446))) % 1.01/1.23 (assume @p553 (forall @t576 (tptp.c_lessequals @t106 @t106 tptp.tc_nat))) % 1.01/1.23 (assume @p554 (forall (@list @t761 @t436 @t760) (or (tptp.c_lessequals @t761 @t436 tptp.tc_nat) (not (tptp.c_lessequals @t760 @t436 tptp.tc_nat)) (not (tptp.c_lessequals @t761 @t760 tptp.tc_nat))))) % 1.01/1.23 (assume @p555 (forall @t762 (tptp.c_lessequals @t18 @t18 tptp.tc_nat))) % 1.01/1.23 (assume @p556 (forall (@list @t18 @t1) (tptp.c_lessequals @t18 @t18 @t36))) % 1.01/1.23 (assume @p557 (forall @t39 (tptp.c_lessequals @t38 @t38 @t36))) % 1.01/1.23 (assume @p558 (forall @t757 (or @t649 @t652 @t163))) % 1.01/1.23 (assume @p559 (forall @t768 (or @t767 @t766 @t764))) % 1.01/1.23 (assume @p560 (forall (@list @t769 @t1 @t54) (or (tptp.c_Wellfounded_Owf @t769 @t1) (not (tptp.c_lessequals @t769 @t54 @t52)) @t358))) % 1.01/1.23 (assume @p561 (forall @t44 (or @t593 @t770))) % 1.01/1.23 (assume @p562 (forall @t44 (or @t759 @t770))) % 1.01/1.23 (assume @p563 (forall @t25 (or @t278 @t725 @t277))) % 1.01/1.23 (assume @p564 (forall @t16 (or @t328 @t647 @t336))) % 1.01/1.23 (assume @p565 (forall @t25 (or @t240 @t771))) % 1.01/1.23 (assume @p566 (forall @t25 (or @t274 @t771))) % 1.01/1.23 (assume @p567 (forall @t16 (or @t275 @t772))) % 1.01/1.23 (assume @p568 (forall @t16 (or @t274 @t772))) % 1.01/1.23 (assume @p569 (forall @t25 (or @t50 @t773 @t323))) % 1.01/1.23 (assume @p570 (forall @t25 (or @t50 @t773 @t318))) % 1.01/1.23 (assume @p571 (forall (@list @t1 @t4 @t3 @t31 @t80) (or @t24 (= (tptp.hAPP @t505 @t509) (tptp.hAPP @t508 @t472))))) % 1.01/1.23 (assume @p572 (forall @t261 (or @t328 @t12 (= (tptp.hAPP (tptp.hAPP @t20 @t256) @t259) @t774) @t318))) % 1.01/1.23 (assume @p573 (forall @t260 (or @t328 @t12 (= (tptp.hAPP @t407 @t256) @t774) @t318))) % 1.01/1.23 (assume @p574 (forall @t16 (or @t117 (= @t114 (tptp.hAPP @t166 @t775))))) % 1.01/1.23 (assume @p575 (forall @t554 (= @t179 @t739))) % 1.01/1.23 (assume @p576 (forall @t25 (or @t491 @t776))) % 1.01/1.23 (assume @p577 (forall @t25 (or @t371 @t776))) % 1.01/1.23 (assume @p578 (forall @t160 (= (tptp.hAPP @t73 @t134) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t157 @t36)))) % 1.01/1.23 (assume @p579 (forall @t25 (or @t430 (= (tptp.hAPP @t166 @t369) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t429 @t541 @t1))))) % 1.01/1.23 (assume @p580 (forall @t16 (or @t117 (= (tptp.hAPP @t166 @t114) @t775)))) % 1.01/1.23 (assume @p581 (forall @t16 (or @t13 (tptp.hBOOL (tptp.hAPP @t185 @t778)) @t187))) % 1.01/1.23 (assume @p582 (forall @t16 (or @t13 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t778) @t3)) @t187))) % 1.01/1.23 (assume @p583 (forall @t231 (or @t275 (= (tptp.hAPP (tptp.hAPP @t90 @t2) @t4) @t167)))) % 1.01/1.23 (assume @p584 (forall @t231 (or @t634 (not (= @t734 @t2)) @t239))) % 1.01/1.23 (assume @p585 (forall @t535 (or @t110 (not (= @t108 @t343)) @t267 @t683 @t60 @t103))) % 1.01/1.23 (assume @p586 (forall (@list @t38 @t40 @t1 @t69) (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t40 @t492) @t1 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain @t38 @t1 @t69) (tptp.c_Relation_ODomain @t40 @t1 @t69) @t36)))) % 1.01/1.23 (assume @p587 (forall @t260 (or @t274 (not (= @t502 @t19)) (= @t18 @t602)))) % 1.01/1.23 (assume @p588 (forall @t210 (or @t328 @t12 (= (tptp.hAPP (tptp.hAPP @t5 @t207) @t206) @t7) @t421))) % 1.01/1.23 (assume @p589 (forall @t213 (or @t328 @t12 (= (tptp.hAPP @t570 @t211) @t7) @t421))) % 1.01/1.23 (assume @p590 (forall @t141 (= @t137 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t469 @t38 @t36)))) % 1.01/1.23 (assume @p591 (forall @t254 (or @t24 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t489 @t1) @t743 @t204))) % 1.01/1.23 (assume @p592 (forall (@list @t779 @t1 @t780) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t779 @t1) (tptp.c_Wellfounded_Oacc @t780 @t1) @t36) (not (tptp.c_lessequals @t780 @t779 @t52))))) % 1.01/1.23 (assume @p593 (forall @t554 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t179 @t36) @t179))) % 1.01/1.23 (assume @p594 (forall @t25 (or @t491 @t781))) % 1.01/1.23 (assume @p595 (forall @t25 (or @t371 @t781))) % 1.01/1.23 (assume @p596 (forall @t160 (= (tptp.hAPP @t73 @t179) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t157 @t36)))) % 1.01/1.23 (assume @p597 (forall @t25 (or @t430 (= (tptp.hAPP @t166 @t549) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t429 @t541 @t1))))) % 1.01/1.23 (assume @p598 (forall @t16 (or @t117 (= (tptp.hAPP @t166 @t115) @t782)))) % 1.01/1.23 (assume @p599 (forall @t783 (or (tptp.c_lessequals @t326 @t552 tptp.tc_nat) @t163 @t173))) % 1.01/1.23 (assume @p600 (forall @t260 (or @t328 @t12 (= (tptp.hAPP @t621 @t256) (tptp.hAPP @t620 @t19))))) % 1.01/1.23 (assume @p601 (forall @t785 (= (tptp.c_Set_Ovimage @t139 @t514 @t1 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t689 @t784 @t36)))) % 1.01/1.23 (assume @p602 (forall @t183 (or @t110 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t284) @t108)) @t786 @t307))) % 1.01/1.23 (assume @p603 (forall @t75 (not (tptp.hBOOL (tptp.hAPP @t383 @t787))))) % 1.01/1.23 (assume @p604 (forall @t442 (or @t441 (not (tptp.hBOOL (tptp.hAPP @t439 @t788))) @t358))) % 1.01/1.23 (assume @p605 (forall @t220 (= (tptp.c_Transitive__Closure_Ortrancl @t219 @t1) @t216))) % 1.01/1.23 (assume @p606 (forall @t254 (or @t13 @t12 @t311 @t314 @t310 @t305))) % 1.01/1.23 (assume @p607 (forall @t254 (or @t13 @t12 @t311 @t303 @t310 @t305))) % 1.01/1.23 (assume @p608 (forall @t249 (or @t13 @t12 @t300 @t307 @t305 @t310))) % 1.01/1.23 (assume @p609 (forall @t249 (or @t13 @t12 @t300 @t303 @t305 @t310))) % 1.01/1.23 (assume @p610 (forall @t75 (= @t787 @t149))) % 1.01/1.23 (assume @p611 (forall @t231 (or @t634 (= (tptp.c_HOL_Osgn__class_Osgn @t734 @t1) @t734)))) % 1.01/1.23 (assume @p612 (forall @t39 (or @t534 @t172 @t424))) % 1.01/1.23 (assume @p613 (forall @t198 (or @t790 @t789 @t127 @t60 @t471 @t165))) % 1.01/1.23 (assume @p614 (forall @t198 (or @t790 @t789 @t127 @t103 @t471 @t165))) % 1.01/1.23 (assume @p615 (forall @t65 (or @t209 (= (tptp.hAPP (tptp.hAPP @t45 @t168) @t168) @t269)))) % 1.01/1.23 (assume @p616 (forall @t16 (or @t154 (= (tptp.hAPP @t624 @t168) @t222)))) % 1.01/1.23 (assume @p617 (forall @t16 (or @t275 (= (tptp.hAPP @t91 @t168) @t29)))) % 1.01/1.23 (assume @p618 (forall @t353 (or @t352 @t792))) % 1.01/1.23 (assume @p619 (forall @t698 (or @t79 @t792))) % 1.01/1.23 (assume @p620 (forall @t408 (or @t328 (= (tptp.hAPP (tptp.hAPP @t90 @t259) @t406) (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP (tptp.hAPP @t90 @t388) @t389)) @t404)) @t403 @t318))) % 1.01/1.23 (assume @p621 (forall (@list @t1 @t4 @t122 @t3) (or @t24 (= (tptp.hAPP @t558 (tptp.hAPP @t82 @t122)) (tptp.hAPP @t678 @t122))))) % 1.01/1.23 (assume @p622 (forall (@list @t4 @t3 @t69 @t1 @t54) (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t794 @t54 @t512) @t69 @t1) (tptp.c_Set_Oinsert @t3 @t793 @t1)))) % 1.01/1.23 (assume @p623 (forall @t554 (or @t333 (not @t795)))) % 1.01/1.23 (assume @p624 (forall @t554 (or @t334 @t795))) % 1.01/1.23 (assume @p625 (forall @t254 (or @t209 @t203 @t421 (not @t208)))) % 1.01/1.23 (assume @p626 (forall @t254 (or @t209 @t203 @t421 (not @t212)))) % 1.01/1.23 (assume @p627 (forall @t44 (or @t24 (= (tptp.hAPP @t484 @t18) @t18)))) % 1.01/1.23 (assume @p628 (forall @t231 (or @t30 @t796))) % 1.01/1.23 (assume @p629 (forall @t44 (or @t209 @t240 (= @t18 (tptp.hAPP @t22 @t2))))) % 1.01/1.23 (assume @p630 (forall @t231 (or @t30 @t797))) % 1.01/1.23 (assume @p631 (forall @t231 (or @t798 @t796))) % 1.01/1.23 (assume @p632 (forall @t231 (or @t798 @t797))) % 1.01/1.23 (assume @p633 (forall @t231 (or @t24 @t797))) % 1.01/1.23 (assume @p634 (forall @t231 (or @t24 @t796))) % 1.01/1.23 (assume @p635 (forall @t75 (or @t50 (not (tptp.hBOOL (tptp.hAPP @t190 @t400)))))) % 1.01/1.23 (assume @p636 (forall @t254 (or @t13 @t12 @t250 @t102 @t248 @t253))) % 1.01/1.23 (assume @p637 (forall @t254 (or @t13 @t12 @t250 @t102 @t302 @t245))) % 1.01/1.23 (assume @p638 (forall @t213 (or @t13 @t12 @t15 @t302 @t245 @t251))) % 1.01/1.23 (assume @p639 (forall @t249 (or @t13 @t12 @t243 @t103 @t253 @t248))) % 1.01/1.23 (assume @p640 (forall @t249 (or @t13 @t12 @t243 @t103 @t302 @t245))) % 1.01/1.23 (assume @p641 (forall @t213 (or @t13 @t12 @t17 @t302 @t245 @t244))) % 1.01/1.23 (assume @p642 (forall @t231 (or @t234 (not (= @t167 @t4)) @t239))) % 1.01/1.23 (assume @p643 (forall @t16 (or @t50 @t15 @t17 @t800))) % 1.01/1.23 (assume @p644 (forall @t14 (or @t50 @t10 @t17 @t800))) % 1.01/1.23 (assume @p645 (forall @t16 (or @t50 @t15 @t11 @t800))) % 1.01/1.23 (assume @p646 (forall @t14 (or @t50 @t10 @t11 @t800))) % 1.01/1.23 (assume @p647 (forall @t16 (or @t275 (= (tptp.hAPP (tptp.hAPP @t90 @t29) @t3) @t4)))) % 1.01/1.23 (assume @p648 (forall (@list @t139 @t174 @t54 @t18 @t1 @t69) (or (not (= (tptp.hAPP @t139 @t802) (tptp.hAPP @t174 @t802))) @t801))) % 1.01/1.23 (assume @p649 (forall @t803 (or @t110 @t123 (not (tptp.c_lessequals @t125 @t108 @t1)) @t581))) % 1.01/1.23 (assume @p650 (forall @t809 (or @t110 @t808 (not @t807) @t804))) % 1.01/1.23 (assume @p651 (forall @t810 (or @t110 @t807 (not @t808) @t804))) % 1.01/1.23 (assume @p652 (forall @t39 (tptp.c_Relation_Osingle__valued @t811 @t1 @t1))) % 1.01/1.23 (assume @p653 (forall @t16 (or @t328 @t12 @t458))) % 1.01/1.23 (assume @p654 (forall @t16 (or @t328 (= @t457 (tptp.hAPP @t646 @t3))))) % 1.01/1.23 (assume @p655 (forall @t254 (or @t328 (= (tptp.hAPP @t777 @t31) (tptp.hAPP (tptp.hAPP @t20 @t327) @t242))))) % 1.01/1.23 (assume @p656 (forall @t145 (= (tptp.hAPP @t73 @t158) @t38))) % 1.01/1.23 (assume @p657 (forall @t231 (or @t275 (= @t812 @t4)))) % 1.01/1.23 (assume @p658 (forall @t44 (or @t430 (= (tptp.hAPP @t166 @t429) @t18)))) % 1.01/1.23 (assume @p659 (forall @t65 (or @t275 (= @t3 @t813)))) % 1.01/1.23 (assume @p660 (forall @t231 (or @t275 (= @t4 @t812)))) % 1.01/1.23 (assume @p661 (forall @t65 (or @t275 (= @t813 @t3)))) % 1.01/1.23 (assume @p662 (forall @t818 (or @t584 @t817))) % 1.01/1.23 (assume @p663 (forall @t59 (or @t819 (not (tptp.c_Relation_Oantisym @t53 @t1)) @t55))) % 1.01/1.23 (assume @p664 (forall @t783 (or @t171 @t173 @t163))) % 1.01/1.23 (assume @p665 (forall @t768 (or @t767 @t764 @t766))) % 1.01/1.23 (assume @p666 (forall @t59 (or @t584 @t55 (not (tptp.c_Wellfounded_Oacyclic @t53 @t1))))) % 1.01/1.23 (assume @p667 (forall @t783 (or @t171 @t163 @t173))) % 1.01/1.23 (assume @p668 (forall @t821 (or @t361 (not (tptp.c_Relation_Osingle__valued @t53 @t1 @t69)) @t820))) % 1.01/1.23 (assume @p669 (forall (@list @t1 @t4 @t3 @t80 @t31) (or @t170 (tptp.c_lessequals @t4 @t472 @t1) @t471 (not (tptp.c_lessequals @t4 @t489 @t1))))) % 1.01/1.23 (assume @p670 (forall @t39 (or (not @t577) @t172 @t424))) % 1.01/1.23 (assume @p671 (forall @t728 (or (tptp.c_lessequals @t134 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t200 @t726 @t36) @t36) @t727 @t650))) % 1.01/1.23 (assume @p672 (forall @t25 (or @t13 @t822 @t705 @t319))) % 1.01/1.23 (assume @p673 (forall @t25 (or @t13 @t822 @t255 @t703))) % 1.01/1.23 (assume @p674 (forall @t44 (or @t636 (= @t48 @t18)))) % 1.01/1.23 (assume @p675 (forall @t44 (tptp.hBOOL (tptp.hAPP @t148 @t537)))) % 1.01/1.23 (assume @p676 (forall @t198 (or @t197 @t196 @t127 @t103 @t189 @t187))) % 1.01/1.23 (assume @p677 (forall @t39 (or @t424 (not (tptp.c_lessequals @t38 @t158 @t36))))) % 1.01/1.23 (assume @p678 (forall @t821 (or (tptp.c_lessequals @t70 (tptp.c_Relation_ODomain @t53 @t1 @t69) @t36) @t820))) % 1.01/1.23 (assume @p679 (forall (@list @t38 @t18 @t1) (or (= @t38 @t537) @t424 (not (tptp.c_lessequals @t38 @t537 @t36))))) % 1.01/1.23 (assume @p680 (forall (@list @t139 @t4 @t40 @t69 @t1) (= (tptp.c_Set_Ovimage @t139 (tptp.c_Set_Oinsert @t4 @t40 @t69) @t1 @t69) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t139 @t823 @t1 @t69) @t784 @t36)))) % 1.01/1.23 (assume @p681 (forall @t75 (or @t50 (= @t400 @t2)))) % 1.01/1.23 (assume @p682 (forall @t65 (or @t328 @t12 (= @t2 @t686)))) % 1.01/1.23 (assume @p683 (forall @t355 (or @t791 @t354 @t356))) % 1.01/1.23 (assume @p684 (forall @t16 (or @t117 (= @t115 (tptp.hAPP @t166 @t782))))) % 1.01/1.23 (assume @p685 (forall @t826 (or @t170 @t825 @t824 @t592))) % 1.01/1.23 (assume @p686 (forall @t826 (or @t170 @t825 @t591 (not @t824)))) % 1.01/1.23 (assume @p687 (forall @t346 (or @t433 (= (tptp.c_Power_Opower__class_Opower @t222 @t106 @t1) (tptp.hAPP @t285 @t343))))) % 1.01/1.23 (assume @p688 (forall (@list @t1 @t18 @t19 @t827) (or @t24 (= (tptp.c_Power_Opower__class_Opower @t386 @t827 @t1) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Power_Opower__class_Opower @t18 @t827 @t1)) (tptp.c_Power_Opower__class_Opower @t19 @t827 @t1)))))) % 1.01/1.23 (assume @p689 (forall (@list @t4 @t200 @t1 @t726) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t4 @t200 @t1) (tptp.c_Set_Oinsert @t4 @t726 @t1) @t36) (not (tptp.c_lessequals @t200 @t726 @t36))))) % 1.01/1.23 (assume @p690 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t37 @t36) @t37))) % 1.01/1.23 (assume @p691 (forall (@list @t1 @t80 @t18 @t829 @t436 @t726) (or @t437 @t832 @t831 (not @t830) @t828))) % 1.01/1.23 (assume @p692 (forall (@list @t1 @t80 @t18 @t436 @t726 @t829) (or @t437 @t832 @t830 (not @t831) @t828))) % 1.01/1.23 (assume @p693 (forall (@list @t1 @t18 @t256 @t384 @t19) (or @t328 (not @t834) @t403 @t318 @t833))) % 1.01/1.23 (assume @p694 (forall @t408 (or @t328 (not @t833) @t403 @t318 @t834))) % 1.01/1.23 (assume @p695 (forall @t249 (or @t13 @t12 (tptp.c_lessequals @t242 @t327 @t1) @t221 @t165))) % 1.01/1.23 (assume @p696 (forall @t213 (or @t13 @t12 (tptp.c_lessequals @t327 @t242 @t1) @t127 @t165))) % 1.01/1.23 (assume @p697 (forall @t16 (or @t634 (= (tptp.c_HOL_Osgn__class_Osgn @t222 @t1) (tptp.hAPP (tptp.hAPP @t45 @t734) (tptp.c_HOL_Osgn__class_Osgn @t3 @t1)))))) % 1.01/1.23 (assume @p698 (forall @t16 (or @t691 @t799 @t60 @t103))) % 1.01/1.23 (assume @p699 (forall @t16 (or @t50 @t799 @t104 @t102))) % 1.01/1.23 (assume @p700 (forall @t16 (or @t50 @t799 @t60 @t103))) % 1.01/1.23 (assume @p701 (forall @t231 (or @t50 (tptp.c_lessequals @t2 @t270 @t1)))) % 1.01/1.23 (assume @p702 (forall @t16 (or @t95 @t799 @t104 @t102))) % 1.01/1.23 (assume @p703 (forall @t16 (or @t95 @t799 @t60 @t103))) % 1.01/1.23 (assume @p704 (forall @t144 (= (tptp.c_Set_Ovimage @t139 @t119 @t1 @t69) @t37))) % 1.01/1.23 (assume @p705 (forall @t44 (or @t240 (= @t429 (tptp.hAPP (tptp.hAPP @t45 @t235) @t18))))) % 1.01/1.23 (assume @p706 (forall (@list @t493 @t835 @t1 @t69 @t54 @t38) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t493 @t835 @t1 @t69) @t836 @t118) (not (tptp.c_lessequals @t835 @t38 @t36)) @t494))) % 1.01/1.23 (assume @p707 (forall @t342 (or @t328 @t12 (= @t341 @t2)))) % 1.01/1.23 (assume @p708 (forall @t254 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.hAPP (tptp.hAPP @t45 @t222) @t31) (tptp.hAPP @t85 @t211))))) % 1.01/1.23 (assume @p709 (forall @t838 (or @t24 (= @t837 (tptp.hAPP @t415 @t410))))) % 1.01/1.23 (assume @p710 (forall @t838 (or @t24 (= @t837 (tptp.hAPP @t414 (tptp.hAPP @t411 @t412)))))) % 1.01/1.23 (assume @p711 (forall @t840 (or @t24 (= @t839 (tptp.hAPP @t415 @t409))))) % 1.01/1.23 (assume @p712 (forall @t840 (or @t24 (= @t839 (tptp.hAPP @t416 (tptp.hAPP @t414 @t409)))))) % 1.01/1.24 (assume @p713 (forall @t260 (or @t24 (= (tptp.hAPP @t47 @t404) (tptp.hAPP (tptp.hAPP @t45 @t386) @t256))))) % 1.01/1.24 (assume @p714 (forall @t254 (or @t24 @t841))) % 1.01/1.24 (assume @p715 (forall @t254 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t841))) % 1.01/1.24 (assume @p716 (forall @t260 (or @t24 (= (tptp.hAPP @t47 @t501) @t463)))) % 1.01/1.24 (assume @p717 (forall @t16 (or @t274 (= @t842 (tptp.hAPP @t601 @t168))))) % 1.01/1.24 (assume @p718 (forall @t16 (or @t275 (= @t842 (tptp.hAPP @t680 @t167))))) % 1.01/1.24 (assume @p719 (forall @t451 (or @t13 @t450 @t605 @t447 @t844 @t319))) % 1.01/1.24 (assume @p720 (forall @t845 (or @t587 @t123))) % 1.01/1.24 (assume @p721 (forall @t662 (or @t468 @t591 @t445))) % 1.01/1.24 (assume @p722 (forall (@list @t139 @t18 @t1 @t214) (or (tptp.hBOOL (tptp.hAPP @t383 @t150)) @t848 (not (tptp.hBOOL (tptp.hAPP @t383 (tptp.c_Finite__Set_Osetprod @t139 @t214 @t1 tptp.tc_nat)))) @t846))) % 1.01/1.24 (assume @p723 (forall @t183 (or @t110 (tptp.hBOOL (tptp.hAPP @t580 @t108)) @t683 @t581))) % 1.01/1.24 (assume @p724 (forall (@list @t69 @t1 @t139 @t4 @t146) (or @t181 (= (tptp.hAPP @t606 (tptp.c_Set_Oinsert @t4 @t146 @t1)) (tptp.hAPP (tptp.hAPP @t177 @t140) (tptp.hAPP @t606 @t146))) (tptp.hBOOL (tptp.hAPP @t639 @t146)) @t152))) % 1.01/1.24 (assume @p725 (forall @t849 (or @t299 (= (tptp.c_Finite__Set_Osetprod @t139 @t137 @t1 @t69) (tptp.hAPP (tptp.hAPP @t595 @t140) @t298)) @t642 @t172))) % 1.01/1.24 (assume @p726 (forall @t852 (or @t816 @t851 @t586))) % 1.01/1.24 (assume @p727 (forall @t854 (or @t853 @t817))) % 1.01/1.24 (assume @p728 (forall @t861 (or @t441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t860 @t859 @t1 @t1)) @t54)) @t858 @t856))) % 1.01/1.24 (assume @p729 (forall @t865 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t864 @t863 @t1 @t1)) @t54)) @t862 @t856))) % 1.01/1.24 (assume @p730 (forall @t866 (or (tptp.hBOOL (tptp.hAPP @t639 @t676)) @t643 @t670))) % 1.01/1.24 (assume @p731 (forall (@list @t1 @t4 @t3 @t54 @t18 @t38) (or @t673 (not (tptp.hBOOL (tptp.hAPP @t148 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t676 @t675 @t36)))) @t670))) % 1.01/1.24 (assume @p732 (forall (@list @t1 @t4 @t3 @t54 @t38) (or @t673 @t867 (not (tptp.c_lessequals @t675 @t676 @t36)) @t670))) % 1.01/1.24 (assume @p733 (forall @t231 (or @t117 @t868 @t307))) % 1.01/1.24 (assume @p734 (forall @t231 (or @t117 @t306 (not @t868)))) % 1.01/1.24 (assume @p735 (forall @t213 (or @t13 @t12 @t306 @t302 @t245 @t301))) % 1.01/1.24 (assume @p736 (forall @t249 (or @t13 @t12 @t300 @t307 @t302 @t245))) % 1.01/1.24 (assume @p737 (forall @t213 (or @t13 @t12 @t313 @t302 @t245 @t312))) % 1.01/1.24 (assume @p738 (forall @t254 (or @t13 @t12 @t311 @t314 @t302 @t245))) % 1.01/1.24 (assume @p739 (forall @t210 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t264 @t246 @t187))) % 1.01/1.24 (assume @p740 (forall @t213 (or @t50 @t262 @t631 @t303))) % 1.01/1.24 (assume @p741 (forall @t213 (or @t50 @t262 @t187 @t246))) % 1.01/1.24 (assume @p742 (forall @t213 (or @t197 @t262 @t246 @t187))) % 1.01/1.24 (assume @p743 (forall @t213 (or @t50 @t262 @t303 @t631))) % 1.01/1.24 (assume @p744 (forall @t210 (or @t50 @t264 @t631 @t303))) % 1.01/1.24 (assume @p745 (forall @t210 (or @t50 @t264 @t187 @t246))) % 1.01/1.24 (assume @p746 (forall @t210 (or @t197 @t264 @t246 @t187))) % 1.01/1.24 (assume @p747 (forall @t210 (or @t50 @t264 @t303 @t631))) % 1.01/1.24 (assume @p748 (forall @t254 (or @t50 @t186 @t265 @t246))) % 1.01/1.24 (assume @p749 (forall @t132 (or @t50 @t630 @t265 @t303))) % 1.01/1.24 (assume @p750 (forall @t210 (or @t50 @t302 @t245 @t263))) % 1.01/1.24 (assume @p751 (forall @t210 (or @t50 @t302 @t245 @t265))) % 1.01/1.24 (assume @p752 (forall @t25 (or @t13 @t870 @t705 @t869))) % 1.01/1.24 (assume @p753 (forall @t25 (or @t13 @t870 @t255 @t444))) % 1.01/1.24 (assume @p754 (forall @t16 (or @t13 @t12 @t871 @t192 @t307))) % 1.01/1.24 (assume @p755 (forall @t16 (or @t13 @t12 @t871 @t394 @t314))) % 1.01/1.24 (assume @p756 (forall @t16 (or @t13 @t12 @t313 @t306 @t873))) % 1.01/1.24 (assume @p757 (forall @t14 (or @t13 @t12 @t191 @t306 @t873))) % 1.01/1.24 (assume @p758 (forall @t16 (or @t13 @t12 @t313 @t393 @t873))) % 1.01/1.24 (assume @p759 (forall @t14 (or @t13 @t12 @t191 @t393 @t873))) % 1.01/1.24 (assume @p760 (forall @t16 (or @t274 (= (tptp.hAPP @t166 @t92) @t98)))) % 1.01/1.24 (assume @p761 (forall @t198 (or @t876 @t875 @t189 @t165))) % 1.01/1.24 (assume @p762 (forall @t198 (or @t876 @t875 @t471 @t187))) % 1.01/1.24 (assume @p763 (forall @t785 (= (tptp.c_Set_Ovimage @t139 @t290 @t1 @t69) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t689 @t784 @t36)))) % 1.01/1.24 (assume @p764 (forall @t283 (or @t877 @t281))) % 1.01/1.24 (assume @p765 (forall @t283 (or @t877 @t152))) % 1.01/1.24 (assume @p766 (forall (@list @t69 @t139 @t18 @t174 @t1) (or (not (tptp.class_HOL_Oord @t69)) (tptp.c_lessequals @t150 (tptp.hAPP @t174 @t18) @t69) (not (tptp.c_lessequals @t139 @t174 (tptp.tc_fun @t1 @t69)))))) % 1.01/1.24 (assume @p767 (forall @t14 (or @t170 @t878 @t628))) % 1.01/1.24 (assume @p768 (forall @t16 (or @t170 @t627 (not @t878)))) % 1.01/1.24 (assume @p769 (forall @t14 (or @t170 @t880 (not @t879)))) % 1.01/1.24 (assume @p770 (forall @t16 (or @t170 @t879 (not @t880)))) % 1.01/1.24 (assume @p771 (forall @t887 (or @t886 @t885 @t883))) % 1.01/1.24 (assume @p772 (forall (@list @t1 @t4 @t3 @t38) (or @t888 @t643))) % 1.01/1.24 (assume @p773 (forall (@list @t1 @t4 @t3 @t40) (or (tptp.hBOOL (tptp.hAPP @t639 @t464)) (not (tptp.hBOOL (tptp.hAPP @t639 @t40)))))) % 1.01/1.24 (assume @p774 (forall (@list @t1 @t829 @t40 @t38) (or (tptp.hBOOL (tptp.hAPP @t889 @t40)) (not (tptp.hBOOL (tptp.hAPP @t889 @t38))) @t163))) % 1.01/1.24 (assume @p775 (forall @t563 (or @t561 @t163 @t560))) % 1.01/1.24 (assume @p776 (forall @t890 (or @t884 @t883 @t163))) % 1.01/1.24 (assume @p777 (forall @t563 (or @t561 @t560 @t163))) % 1.01/1.24 (assume @p778 (forall @t887 (or @t891 @t883))) % 1.01/1.24 (assume @p779 (forall @t887 (or @t891 @t885))) % 1.01/1.24 (assume @p780 (forall @t44 @t892)) % 1.01/1.24 (assume @p781 (forall @t893 (or @t765 @t892))) % 1.01/1.24 (assume @p782 (forall @t342 (not (tptp.hBOOL (tptp.hAPP @t881 @t37))))) % 1.01/1.24 (assume @p783 (forall @t231 (not (tptp.hBOOL (tptp.hAPP @t639 @t37))))) % 1.01/1.24 (assume @p784 (forall (@list @t1 @t4 @t38 @t3) (or @t642 @t267 (not @t888)))) % 1.01/1.24 (assume @p785 (forall @t890 (or @t884 @t882 (not @t891)))) % 1.01/1.24 (assume @p786 (forall @t44 (tptp.hBOOL (tptp.hAPP @t148 @t142)))) % 1.01/1.24 (assume @p787 (forall @t895 (or @t894 @t882))) % 1.01/1.24 (assume @p788 (forall @t895 (or @t883 (not @t894)))) % 1.01/1.24 (assume @p789 (forall @t896 (tptp.hBOOL (tptp.hAPP @t148 @t112)))) % 1.01/1.24 (assume @p790 (forall (@list @t1 @t4 @t40) (tptp.hBOOL (tptp.hAPP @t639 @t136)))) % 1.01/1.24 (assume @p791 (forall (@list @t1 @t18 @t40) (tptp.hBOOL (tptp.hAPP @t148 @t696)))) % 1.01/1.24 (assume @p792 (forall @t890 (or @t884 @t897))) % 1.01/1.24 (assume @p793 (forall @t887 (or @t882 @t897))) % 1.01/1.24 (assume @p794 (forall @t893 (or @t766 @t892))) % 1.01/1.24 (assume @p795 (forall @t740 (or (not (= @t112 @t696)) @t561 @t559 @t553))) % 1.01/1.24 (assume @p796 (forall @t141 (or (= @t137 @t38) @t643))) % 1.01/1.24 (assume @p797 (forall @t25 (or @t468 @t578 @t843 @t446))) % 1.01/1.24 (assume @p798 (forall @t25 (or @t468 @t578 @t446 @t843))) % 1.01/1.24 (assume @p799 (forall @t16 (or @t593 @t186 @t165 @t267))) % 1.01/1.24 (assume @p800 (forall @t16 (or @t593 @t186 @t267 @t165))) % 1.01/1.24 (assume @p801 (forall @t25 (or @t593 @t843 @t578 @t446))) % 1.01/1.24 (assume @p802 (forall @t25 (or @t593 @t578 @t843 @t446))) % 1.01/1.24 (assume @p803 (forall @t14 (or @t593 @t630 @t129 @t267))) % 1.01/1.24 (assume @p804 (forall @t14 (or @t593 @t630 @t267 @t129))) % 1.01/1.24 (assume @p805 (forall @t826 (or @t170 @t825 @t843 (not @t898)))) % 1.01/1.24 (assume @p806 (forall @t826 (or @t170 @t825 @t898 @t844))) % 1.01/1.24 (assume @p807 (forall @t723 (or @t759 @t899 @t667 @t844))) % 1.01/1.24 (assume @p808 (forall @t723 (or @t759 @t899 @t900 @t446))) % 1.01/1.24 (assume @p809 (forall @t261 (or @t593 @t902 @t901 @t592))) % 1.01/1.24 (assume @p810 (forall @t261 (or @t593 @t902 @t758 @t904))) % 1.01/1.24 (assume @p811 (forall @t254 (or @t131 @t186 (not @t905)))) % 1.01/1.24 (assume @p812 (forall @t210 (or @t131 @t905 @t187))) % 1.01/1.24 (assume @p813 (forall @t210 (or @t876 @t905 @t187))) % 1.01/1.24 (assume @p814 (forall @t254 (or @t131 @t186 (not @t906)))) % 1.01/1.24 (assume @p815 (forall @t213 (or @t131 @t906 @t187))) % 1.01/1.24 (assume @p816 (forall @t213 (or @t876 @t906 @t187))) % 1.01/1.24 (assume @p817 (forall @t25 (or @t759 @t445 @t844))) % 1.01/1.24 (assume @p818 (forall @t25 (or @t593 @t445 @t844))) % 1.01/1.24 (assume @p819 (forall @t659 (or @t374 @t907 (not (tptp.hBOOL (tptp.hAPP @t185 @t18)))))) % 1.01/1.24 (assume @p820 (forall @t659 (or @t374 @t907 (not (tptp.hBOOL (tptp.hAPP @t308 @t18)))))) % 1.01/1.24 (assume @p821 (forall @t198 (or @t876 @t875 @t189 @t187))) % 1.01/1.24 (assume @p822 (forall @t25 (or @t759 @t843 @t591 @t446))) % 1.01/1.24 (assume @p823 (forall @t16 (or @t170 @t186 (not @t909)))) % 1.01/1.24 (assume @p824 (forall @t14 (or @t170 @t909 @t187))) % 1.01/1.24 (assume @p825 (forall @t25 (or @t468 @t843 @t591))) % 1.01/1.24 (assume @p826 (forall @t44 (or @t468 (not @t770) @t911))) % 1.01/1.24 (assume @p827 (forall @t44 (or @t468 @t910 @t770))) % 1.01/1.24 (assume @p828 (forall @t25 (or @t468 @t844 @t592))) % 1.01/1.24 (assume @p829 (forall @t662 (or @t468 @t591 @t843))) % 1.01/1.24 (assume @p830 (forall @t25 (or @t468 @t446 @t904))) % 1.01/1.24 (assume @p831 (forall @t662 (or @t468 @t903 @t445))) % 1.01/1.24 (assume @p832 (forall @t662 (or @t759 @t592 @t844))) % 1.01/1.24 (assume @p833 (forall @t132 (or @t50 @t630 @t186 @t265))) % 1.01/1.24 (assume @p834 (forall @t132 (or @t50 @t630 @t186 @t263))) % 1.01/1.24 (assume @p835 (forall @t718 (or @t491 @t912 (not (tptp.hBOOL (tptp.hAPP @t751 @t4)))))) % 1.01/1.24 (assume @p836 (forall @t718 (or @t491 @t912 (not (tptp.hBOOL (tptp.hAPP @t751 @t3)))))) % 1.01/1.24 (assume @p837 (forall @t14 (or @t170 @t914 (not @t913)))) % 1.01/1.24 (assume @p838 (forall @t16 (or @t170 @t913 (not @t914)))) % 1.01/1.24 (assume @p839 (forall @t14 (or @t170 @t917 (not @t916)))) % 1.01/1.24 (assume @p840 (forall @t16 (or @t170 @t916 (not @t917)))) % 1.01/1.24 (assume @p841 (forall @t590 (or @t919 @t589 @t124))) % 1.01/1.24 (assume @p842 (forall @t590 (or @t589 @t919 @t124))) % 1.01/1.24 (assume @p843 (not (tptp.hBOOL (tptp.hAPP @t383 @t149)))) % 1.01/1.24 (assume @p844 (forall @t576 (or @t682 @t575))) % 1.01/1.24 (assume @p845 (forall @t590 (or @t123 @t920))) % 1.01/1.24 (assume @p846 (forall (@list @t18 @t19) (or @t808 @t923))) % 1.01/1.24 (assume @p847 (forall (@list @t122) (not (tptp.hBOOL (tptp.hAPP @t918 @t149))))) % 1.01/1.24 (assume @p848 (forall @t576 (not (tptp.hBOOL (tptp.hAPP @t924 @t149))))) % 1.01/1.24 (assume @p849 (forall @t677 (or (not @t925) @t673 @t867 @t670))) % 1.01/1.24 (assume @p850 (forall @t932 (or @t931 @t670 @t929 @t928 @t560))) % 1.01/1.24 (assume @p851 (forall @t932 (or @t930 @t933 @t928 @t560 @t670))) % 1.01/1.24 (assume @p852 (forall @t932 (or @t931 @t928 @t560 @t670 @t929))) % 1.01/1.24 (assume @p853 (forall (@list @t69 @t1 @t40 @t139 @t174 @t38) (or @t181 (= (tptp.hAPP (tptp.hAPP @t175 (tptp.c_COMBS @t939 @t174 @t1 @t69 @t69)) @t38) (tptp.hAPP (tptp.hAPP @t177 @t607) (tptp.hAPP @t176 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t157 @t36)))) @t172))) % 1.01/1.24 (assume @p854 (forall @t231 (or @t634 @t940 @t307))) % 1.01/1.24 (assume @p855 (forall @t231 (or @t634 (not @t940) @t306))) % 1.01/1.24 (assume @p856 (forall @t65 (or @t13 @t12 @t191 (not @t941)))) % 1.01/1.24 (assume @p857 (forall @t65 (or @t13 @t12 @t941 @t192))) % 1.01/1.24 (assume @p858 (forall @t231 (or @t634 @t942 @t314))) % 1.01/1.24 (assume @p859 (forall @t231 (or @t634 @t313 (not @t942)))) % 1.01/1.24 (assume @p860 (forall @t213 (or @t13 @t943 @t303 @t631))) % 1.01/1.24 (assume @p861 (forall @t213 (or @t13 @t943 @t246 @t187))) % 1.01/1.24 (assume @p862 (forall @t231 (or @t50 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t270) @t2)))))) % 1.01/1.24 (assume @p863 (forall @t16 (or @t322 @t395 @t394 @t314))) % 1.01/1.24 (assume @p864 (forall @t231 (or @t170 @t944 @t307))) % 1.01/1.24 (assume @p865 (forall @t231 (or @t170 @t306 (not @t944)))) % 1.01/1.24 (assume @p866 (forall @t231 (or @t634 @t945 @t307))) % 1.01/1.24 (assume @p867 (forall @t231 (or @t634 @t306 (not @t945)))) % 1.01/1.24 (assume @p868 (forall @t231 (or @t117 @t946 @t314))) % 1.01/1.24 (assume @p869 (forall @t231 (or @t117 @t313 @t947))) % 1.01/1.24 (assume @p870 (forall @t231 (or @t634 @t313 @t947))) % 1.01/1.24 (assume @p871 (forall @t231 (or @t634 @t946 @t314))) % 1.01/1.24 (assume @p872 (forall @t14 (or @t197 @t191 @t307 (not (tptp.hBOOL (tptp.hAPP @t190 @t438)))))) % 1.01/1.24 (assume @p873 (forall @t14 (or @t197 @t191 @t307 @t224))) % 1.01/1.24 (assume @p874 (forall @t16 (or @t197 @t223 @t192 @t307))) % 1.01/1.24 (assume @p875 (forall @t16 (or @t50 @t223 @t394 @t314))) % 1.01/1.24 (assume @p876 (forall @t183 (or @t110 (tptp.hBOOL (tptp.hAPP @t190 @t108)) @t307))) % 1.01/1.24 (assume @p877 (forall @t16 (or @t322 @t688 @t192 @t307))) % 1.01/1.24 (assume @p878 (forall @t16 (or @t170 @t186 (not @t948)))) % 1.01/1.24 (assume @p879 (forall @t16 (or @t170 @t948 @t187))) % 1.01/1.24 (assume @p880 (forall @t14 (or @t197 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t438) @t2)) @t394 @t307))) % 1.01/1.24 (assume @p881 (forall @t16 (or @t197 @t949 @t394 @t307))) % 1.01/1.24 (assume @p882 (forall @t16 (or @t197 @t949 @t192 @t314))) % 1.01/1.24 (assume @p883 (forall @t132 (or @t110 @t435 @t532 @t307))) % 1.01/1.24 (assume @p884 (forall @t25 (or @t13 @t950 @t255 @t869))) % 1.01/1.24 (assume @p885 (forall @t25 (or @t13 @t950 @t705 @t444))) % 1.01/1.24 (assume @p886 (forall @t16 (or @t13 @t12 @t872 @t394 @t307))) % 1.01/1.24 (assume @p887 (forall @t16 (or @t13 @t12 @t872 @t192 @t314))) % 1.01/1.24 (assume @p888 (forall @t16 (or @t13 @t12 @t313 @t306 @t951))) % 1.01/1.24 (assume @p889 (forall @t14 (or @t13 @t12 @t393 @t306 @t951))) % 1.01/1.24 (assume @p890 (forall @t16 (or @t13 @t12 @t313 @t191 @t951))) % 1.01/1.24 (assume @p891 (forall @t14 (or @t13 @t12 @t393 @t191 @t951))) % 1.01/1.24 (assume @p892 (forall @t210 (or @t50 @t302 @t186 @t263))) % 1.01/1.24 (assume @p893 (forall @t132 (or @t50 @t630 @t245 @t263))) % 1.01/1.24 (assume @p894 (forall @t210 (or @t50 @t302 @t186 @t265))) % 1.01/1.24 (assume @p895 (forall @t132 (or @t50 @t630 @t245 @t265))) % 1.01/1.24 (assume @p896 (forall @t231 (or @t170 @t952 @t314))) % 1.01/1.24 (assume @p897 (forall @t231 (or @t170 @t313 (not @t952)))) % 1.01/1.24 (assume @p898 (forall @t231 (or @t634 @t313 (not @t953)))) % 1.01/1.24 (assume @p899 (forall @t231 (or @t634 @t953 @t314))) % 1.01/1.24 (assume @p900 (forall @t44 (or @t328 @t323 (= (tptp.hAPP @t258 @t18) @t61)))) % 1.01/1.24 (assume @p901 (forall @t231 (or @t328 @t954 @t239))) % 1.01/1.24 (assume @p902 (forall @t231 (or @t328 @t12 @t954 @t239))) % 1.01/1.24 (assume @p903 (forall @t75 (or @t110 (tptp.c_lessequals @t2 @t61 @t1)))) % 1.01/1.24 (assume @p904 (forall @t75 (or @t110 (not (tptp.c_lessequals @t61 @t2 @t1))))) % 1.01/1.24 (assume @p905 (forall @t16 (or @t328 (not (= @t7 @t61)) @t336 @t267))) % 1.01/1.24 (assume @p906 (forall @t456 (or @t110 (tptp.hBOOL (tptp.hAPP @t580 (tptp.hAPP (tptp.hAPP @t45 @t122) @t106))) (not (tptp.hBOOL (tptp.hAPP @t580 @t106))) (not (tptp.hBOOL (tptp.hAPP @t580 @t122)))))) % 1.01/1.24 (assume @p907 (forall @t231 (or @t110 (tptp.hBOOL (tptp.hAPP @t185 @t555))))) % 1.01/1.24 (assume @p908 (forall @t126 (or @t110 (not (= @t125 @t108)) @t581 @t589))) % 1.01/1.24 (assume @p909 (forall (@list @t19 @t256 @t1 @t69 @t18 @t54) (or @t385 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t18 @t256 @t1 @t69)) @t54))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t18 @t19 @t1 @t69)) @t54))) @t362))) % 1.01/1.24 (assume @p910 (forall (@list @t139 @t960 @t962 @t959 @t961 @t69 @t956 @t1 @t957 @t363) (or (= (tptp.hAPP (tptp.hAPP @t139 @t960) @t962) (tptp.hAPP (tptp.hAPP @t139 @t959) @t961)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t963 (tptp.c_Pair @t962 @t961 @t69 @t69)) @t956))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t960 @t959 @t1 @t1)) @t957))) @t958))) % 1.01/1.24 (assume @p911 (forall @t967 (or @t181 (not (= (tptp.hAPP @t139 @t966) @t964)) @t965))) % 1.01/1.24 (assume @p912 (forall (@list @t1 @t69 @t139) (or @t30 (= (tptp.hAPP @t969 @t119) @t2)))) % 1.01/1.24 (assume @p913 (forall @t971 (or @t274 (= (tptp.hAPP (tptp.hAPP @t968 (tptp.c_COMBB @t166 @t139 @t1 @t1 @t69)) @t38) (tptp.hAPP @t166 @t970))))) % 1.01/1.24 (assume @p914 (forall (@list @t1 @t54 @t69 @t139 @t38) (or @t460 (= (tptp.hAPP @t747 @t970) (tptp.hAPP (tptp.hAPP @t968 (tptp.c_COMBB @t747 @t139 @t1 @t1 @t69)) @t38))))) % 1.01/1.24 (assume @p915 (forall @t317 (or @t110 (tptp.c_lessequals @t2 @t454 @t1)))) % 1.01/1.24 (assume @p916 (forall @t237 (or @t110 (tptp.c_lessequals @t2 @t453 @t1)))) % 1.01/1.24 (assume @p917 (forall @t75 (or @t972 (= (tptp.hAPP @t452 @t149) @t2)))) % 1.01/1.24 (assume @p918 (forall @t350 (or @t976 (not @t975)))) % 1.01/1.24 (assume @p919 (forall @t977 (or @t975 (not @t976)))) % 1.01/1.24 (assume @p920 (forall (@list @t69 @t1 @t4 @t3 @t54) (or @t980 (not @t978)))) % 1.01/1.24 (assume @p921 (forall (@list @t1 @t3 @t54 @t4 @t69) (or @t978 (not @t980)))) % 1.01/1.24 (assume @p922 (forall (@list @t1 @t763 @t54 @t536) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t983) @t763)) @t982 @t358))) % 1.01/1.24 (assume @p923 (forall (@list @t1 @t763 @t120 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t985) @t763)) @t984 @t348))) % 1.01/1.24 (assume @p924 (forall @t818 (or @t357 @t987))) % 1.01/1.24 (assume @p925 (forall @t992 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t991 @t990) @t38)) @t989))) % 1.01/1.24 (assume @p926 (forall @t992 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t991 @t993) @t38)) @t989))) % 1.01/1.24 (assume @p927 (forall @t996 (or @t995 (not (tptp.hBOOL (tptp.hAPP @t994 @t218)))))) % 1.01/1.24 (assume @p928 (forall @t996 (or @t995 (not (tptp.hBOOL (tptp.hAPP @t994 @t217)))))) % 1.01/1.24 (assume @p929 (forall @t1000 (or @t299 (not (= (tptp.hAPP @t139 @t999) @t997)) @t998))) % 1.01/1.24 (assume @p930 (forall (@list @t1 @t139 @t69) (or @t433 (= (tptp.c_Finite__Set_Osetprod @t139 @t119 @t69 @t1) @t61)))) % 1.01/1.24 (assume @p931 (forall (@list @t1 @t769 @t53 @t54) (or (tptp.hBOOL (tptp.hAPP @t1002 (tptp.c_Transitive__Closure_Otrancl @t53 @t1))) @t55 (not @t1003)))) % 1.01/1.24 (assume @p932 (forall @t677 (or @t925 @t674 @t670))) % 1.01/1.24 (assume @p933 (forall @t932 (or @t930 @t933 @t670))) % 1.01/1.24 (assume @p934 (forall @t442 (or @t441 (not (tptp.hBOOL (tptp.hAPP @t439 @t1007))) @t1006))) % 1.01/1.24 (assume @p935 (forall @t1012 (or @t765 (not (tptp.hBOOL (tptp.hAPP @t439 @t1011))) @t1010))) % 1.01/1.24 (assume @p936 (forall @t1014 (or @t441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1013) @t1004)) @t1006))) % 1.01/1.24 (assume @p937 (forall @t1018 (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1017) @t1015))) @t1016))) % 1.01/1.24 (assume @p938 (forall @t442 (or @t441 (not (tptp.hBOOL (tptp.hAPP @t439 @t1013))) @t1006))) % 1.01/1.24 (assume @p939 (forall @t1012 (or @t765 (not (tptp.hBOOL (tptp.hAPP @t439 @t1019))) @t1010))) % 1.01/1.24 (assume @p940 (forall @t1022 (or @t1021 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1020) @t1004)))))) % 1.01/1.24 (assume @p941 (forall @t1014 (or @t441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1007) @t1004)) @t1006))) % 1.01/1.24 (assume @p942 (forall @t220 (or @t1024 (not @t349)))) % 1.01/1.24 (assume @p943 (forall @t350 (or @t349 (not @t1024)))) % 1.01/1.24 (assume @p944 (forall @t585 (= @t1001 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 (tptp.c_Relation_Orel__comp @t1001 @t54 @t1 @t1 @t1) @t52)))) % 1.01/1.24 (assume @p945 (forall @t1025 (= (tptp.c_Relation_ODomain @t218 @t1 @t1) @t142))) % 1.01/1.24 (assume @p946 (forall @t1025 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t218 @t396 @t52) @t218))) % 1.01/1.24 (assume @p947 (forall @t1025 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t396 @t52) @t1) @t218))) % 1.01/1.24 (assume @p948 (forall @t398 (tptp.c_Relation_Orefl__on @t142 @t57 @t1))) % 1.01/1.24 (assume @p949 (forall @t1025 (= (tptp.c_Relation_ORange @t218 @t1 @t1) @t142))) % 1.01/1.24 (assume @p950 (forall @t585 (or (tptp.c_Relation_Oantisym @t57 @t1) @t586))) % 1.01/1.24 (assume @p951 (forall @t585 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t582 @t52) @t1))) % 1.01/1.24 (assume @p952 (forall @t75 (= (tptp.c_Relation_ODomain @t396 @t1 @t1) @t142))) % 1.01/1.24 (assume @p953 (forall @t75 (= (tptp.c_Relation_ORange @t396 @t1 @t1) @t142))) % 1.01/1.24 (assume @p954 (forall @t75 (tptp.c_Relation_Orefl__on @t142 @t396 @t1))) % 1.01/1.24 (assume @p955 (forall @t783 (= (tptp.c_Relation_OImage @t811 @t40 @t1 @t1) @t134))) % 1.01/1.24 (assume @p956 (forall @t585 (or @t819 (not @t1026)))) % 1.01/1.24 (assume @p957 (forall @t585 (or @t1026 @t1027))) % 1.01/1.24 (assume @p958 (forall @t44 (or @t500 (= @t499 @t61) @t444 @t323))) % 1.01/1.24 (assume @p959 (forall @t65 (or @t13 @t12 @t1028 @t394))) % 1.01/1.24 (assume @p960 (forall @t65 (or @t13 @t12 @t393 (not @t1028)))) % 1.01/1.24 (assume @p961 (forall @t75 (or @t110 (tptp.hBOOL (tptp.hAPP @t190 @t315))))) % 1.01/1.24 (assume @p962 (forall @t1029 (or @t181 @t965 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t966) @t38))))) % 1.01/1.24 (assume @p963 (forall @t803 (or @t110 @t919 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t125) @t108))) @t581))) % 1.01/1.24 (assume @p964 (forall @t533 (or @t110 (tptp.hBOOL (tptp.hAPP @t344 @t109)) @t581 @t1030))) % 1.01/1.24 (assume @p965 (forall @t809 (or @t110 @t922 (not @t1031) @t804))) % 1.01/1.24 (assume @p966 (forall @t810 (or @t110 @t1031 @t923 @t804))) % 1.01/1.24 (assume @p967 (forall @t967 (or @t1035 @t1034 (not (tptp.hBOOL (tptp.hAPP @t1033 (tptp.hAPP @t139 @t1032))))))) % 1.01/1.24 (assume @p968 (forall @t1038 (or @t460 (= (tptp.hAPP (tptp.hAPP @t45 @t970) @t54) (tptp.hAPP (tptp.hAPP @t968 (tptp.hAPP (tptp.c_COMBC @t1037 @t69 @t1 @t1) @t54)) @t38))))) % 1.01/1.24 (assume @p969 (forall @t1038 (or @t328 (= (tptp.hAPP (tptp.hAPP @t5 @t970) @t54) (tptp.hAPP (tptp.hAPP @t968 (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t5 @t139 @t1 @t1036 @t69) @t69 @t1 @t1) @t54)) @t38))))) % 1.01/1.24 (assume @p970 (forall (@list @t69 @t139 @t761 @t38 @t1) (or @t1039 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.hAPP @t139 @t761) @t298 @t69) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t761) @t38))) @t172))) % 1.01/1.24 (assume @p971 (forall @t1041 (or @t274 (= (tptp.hAPP (tptp.hAPP @t968 (tptp.c_COMBS (tptp.c_COMBB @t90 @t139 @t1 @t1036 @t69) @t174 @t69 @t1 @t1)) @t38) (tptp.hAPP (tptp.hAPP @t90 @t970) @t1040))))) % 1.01/1.24 (assume @p972 (forall @t1041 (or @t30 (= (tptp.hAPP (tptp.hAPP @t968 (tptp.c_COMBS (tptp.c_COMBB @t20 @t139 @t1 @t1036 @t69) @t174 @t69 @t1 @t1)) @t38) (tptp.hAPP (tptp.hAPP @t20 @t970) @t1040))))) % 1.01/1.24 (assume @p973 (forall @t1000 (or @t299 @t998 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t999) @t146))))) % 1.01/1.24 (assume @p974 (forall @t967 (or @t1045 @t1039 @t1044 @t172 (= (tptp.hAPP @t139 @t1042) @t964)))) % 1.01/1.24 (assume @p975 (forall (@list @t1 @t38 @t40 @t31 @t69) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t38 @t40 @t31 @t1 @t69)) @t38)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 @t31) @t1046)))))) % 1.01/1.24 (assume @p976 (forall @t1048 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1047 @t3 @t1 @t1)) @t54)) @t267 @t856))) % 1.01/1.24 (assume @p977 (forall @t1053 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1052 @t256 @t1 @t1)) @t57)) @t1051 @t1050))) % 1.01/1.24 (assume @p978 (forall @t1054 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t18 @t1052 @t1 @t1)) @t54)) @t1051 @t1050))) % 1.01/1.24 (assume @p979 (forall @t1055 (or @t441 (tptp.hBOOL (tptp.hAPP @t439 @t859)) @t858 @t856))) % 1.01/1.24 (assume @p980 (forall @t861 (or @t441 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t859 @t3 @t1 @t1)) @t57)) @t858 @t856))) % 1.01/1.24 (assume @p981 (forall @t865 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t4 @t864 @t1 @t1)) @t57)) @t862 @t856))) % 1.01/1.24 (assume @p982 (forall @t1056 (or @t857 (not (tptp.hBOOL (tptp.hAPP @t439 @t863))) @t862 @t856))) % 1.01/1.24 (assume @p983 (forall (@list @t1 @t256 @t19 @t54 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t256 @t19 @t1 @t1)) @t57)) (tptp.hBOOL (tptp.hAPP @t1057 @t57)) @t1050 @t853 (not (tptp.c_Relation_Osingle__valued @t54 @t1 @t1))))) % 1.01/1.24 (assume @p984 (forall @t1066 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1060 @t1065 tptp.t_a tptp.t_a)) @t1058)) @t1064 @t1063))) % 1.01/1.24 (assume @p985 (forall @t1056 (or @t857 (tptp.hBOOL (tptp.hAPP @t439 @t864)) @t862 @t856))) % 1.01/1.24 (assume @p986 (forall @t1066 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1065 @t1059 tptp.t_a tptp.t_a)) @t54)) @t1064 @t1063))) % 1.01/1.24 (assume @p987 (forall @t1055 (or @t441 (not (tptp.hBOOL (tptp.hAPP @t439 @t860))) @t858 @t856))) % 1.01/1.24 (assume @p988 (forall @t1048 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t4 @t1047 @t1 @t1)) @t57)) @t267 @t856))) % 1.01/1.24 (assume @p989 (forall @t1068 (or @t441 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t788 @t1 @t1)) @t54))) @t358))) % 1.01/1.24 (assume @p990 (forall (@list @t439 @t536 @t19 @t1 @t54) (or (tptp.hBOOL (tptp.hAPP @t439 @t536)) @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t568 @t1 @t1)) @t54))) @t358))) % 1.01/1.24 (assume @p991 (forall (@list @t439 @t1069 @t19 @t1 @t120) (or (tptp.hBOOL (tptp.hAPP @t439 @t1069)) @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t515 @t1 @t1)) @t120))) @t348))) % 1.01/1.24 (assume @p992 (forall @t1068 (or @t441 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t440 @t1 @t1)) @t54))) @t358))) % 1.01/1.24 (assume @p993 (forall (@list @t1 @t69 @t363 @t139 @t40 @t38) (or @t30 (= (tptp.hAPP (tptp.hAPP @t968 (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t1070 @t139 (tptp.tc_fun @t363 @t1) (tptp.tc_fun @t1071 @t1) @t69) @t69 @t1071 @t1) @t40)) @t38) (tptp.hAPP (tptp.hAPP @t1070 (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t968 (tptp.c_COMBC @t139 @t69 @t363 @t1) (tptp.tc_fun @t69 @t1) (tptp.tc_fun @t118 @t1) @t363) @t363 @t118 @t1) @t38)) @t40))))) % 1.01/1.24 (assume @p994 (forall @t1022 (or @t1075 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1072 @t1072 @t1 @t1)) @t1001))))) % 1.01/1.24 (assume @p995 (forall @t1053 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1079 @t256 @t1 @t1)) @t1001)) @t1078 @t1077))) % 1.01/1.24 (assume @p996 (forall @t1084 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t18 @t1083 @t1 @t1)) @t120)) @t1082))) % 1.01/1.24 (assume @p997 (forall @t1066 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1060 @t1088 tptp.t_a tptp.t_a)) @t1085)) @t1087 @t1086))) % 1.01/1.24 (assume @p998 (forall @t1022 (or (not (tptp.hBOOL (tptp.hAPP @t1073 @t1001))) @t586))) % 1.01/1.24 (assume @p999 (forall @t1048 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1091 @t3 @t1 @t1)) @t54)) @t673 @t1090))) % 1.01/1.24 (assume @p1000 (forall @t1048 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t4 @t1091 @t1 @t1)) @t1001)) @t673 @t1090))) % 1.01/1.24 (assume @p1001 (forall @t1093 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1092 @t19 @t1 @t1)) @t120)) @t1082))) % 1.01/1.24 (assume @p1002 (forall @t1054 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t18 @t1079 @t1 @t1)) @t54)) @t1078 @t1077))) % 1.01/1.24 (assume @p1003 (forall @t1066 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1088 @t1059 tptp.t_a tptp.t_a)) @t54)) @t1087 @t1086))) % 1.01/1.24 (assume @p1004 (forall (@list @t1 @t139 @t69 @t174 @t38) (or @t433 (= (tptp.c_Finite__Set_Osetprod (tptp.c_COMBS @t1037 @t174 @t69 @t1 @t1) @t38 @t69 @t1) (tptp.hAPP (tptp.hAPP @t45 @t1094) (tptp.c_Finite__Set_Osetprod @t174 @t38 @t69 @t1)))))) % 1.01/1.24 (assume @p1005 (forall (@list @t363 @t69 @t4 @t31 @t54 @t53 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in @t711) (tptp.c_Pair @t1096 @t31 @t363 @t69)) @t53)) @t1095))) % 1.01/1.24 (assume @p1006 (forall (@list @t1 @t363 @t4 @t31 @t54 @t53 @t69) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1097 (tptp.c_Pair @t4 @t1096 @t1 @t363)) @t54)) @t1095))) % 1.01/1.24 (assume @p1007 (forall (@list @t769 @t1) (or (= @t769 (tptp.c_Pair @t1098 @t1098 @t1 @t1)) (not (tptp.hBOOL (tptp.hAPP @t1002 @t396)))))) % 1.01/1.24 (assume @p1008 (forall @t971 (or @t972 (= (tptp.hAPP @t452 (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Osetsum @t69 tptp.tc_nat) @t139) @t38)) (tptp.hAPP (tptp.hAPP @t968 @t1099) @t38))))) % 1.01/1.24 (assume @p1009 (forall @t585 (or @t357 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t54 @t1)) @t1004)))))) % 1.01/1.24 (assume @p1010 (forall @t585 (or @t357 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t54 @t1)) @t1004)))))) % 1.01/1.24 (assume @p1011 (forall @t1100 (or @t972 @t433 (= (tptp.hAPP @t452 (tptp.c_Finite__Set_Osetprod @t139 @t38 @t69 tptp.tc_nat)) (tptp.c_Finite__Set_Osetprod @t1099 @t38 @t69 @t1))))) % 1.01/1.24 (assume @p1012 (forall (@list @t1 @t38 @t31) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1102) @t38)) @t1101))) % 1.01/1.24 (assume @p1013 (forall (@list @t31 @t38 @t1) (or (= @t31 (tptp.c_Pair @t1102 @t1102 @t1 @t1)) @t1101))) % 1.01/1.24 (assume @p1014 (forall (@list @t139 @t54 @t18 @t1 @t69 @t174) (or @t801 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t802 @t18 @t1 @t1)) @t54))))) % 1.01/1.24 (assume @p1015 (forall @t585 (= @t1103 @t57))) % 1.01/1.24 (assume @p1016 (forall @t585 (= (tptp.c_Transitive__Closure_Otrancl @t397 @t1) @t57))) % 1.01/1.24 (assume @p1017 (forall @t585 (= @t57 @t1103))) % 1.01/1.24 (assume @p1018 (forall @t585 (= @t57 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t396 @t1104 @t52)))) % 1.01/1.24 (assume @p1019 (forall @t1106 (or (tptp.c_lessequals @t54 @t1105 @t52) @t366))) % 1.01/1.24 (assume @p1020 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 1.01/1.24 (assume @p1021 (forall @t585 (or @t1108 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1107 @t1107 @t1 @t1)) @t54))))) % 1.01/1.24 (assume @p1022 (forall (@list @t956 @t139 @t4 @t69 @t363 @t1 @t38 @t957) (or (tptp.c_Equiv__Relations_Ocongruent @t956 @t140 @t69 @t363) @t643 @t958 (not (tptp.c_Equiv__Relations_Oequiv @t38 @t957 @t1))))) % 1.01/1.24 (assume @p1023 (forall @t1112 (or @t1111 (not (tptp.hBOOL (tptp.hAPP @t850 @t120))) (not (tptp.c_lessequals @t150 @t1109 tptp.tc_nat))))) % 1.01/1.24 (assume @p1024 (forall @t585 (or @t1114 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1113 @t1113 @t1 @t1)) @t54)))))) % 1.01/1.24 (assume @p1025 (forall @t111 (or @t110 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t109) @t108)) @t786 @t307 @t1030))) % 1.01/1.24 (assume @p1026 (forall @t967 (or @t1035 @t1034 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1032) @t38))))) % 1.01/1.24 (assume @p1027 (forall @t237 (or @t110 @t682 (not @t1115)))) % 1.01/1.24 (assume @p1028 (forall @t237 (or @t110 @t1115 @t683))) % 1.01/1.24 (assume @p1029 (forall @t967 (or @t1045 @t1039 @t1044 @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t147 @t1042) @t38))))) % 1.01/1.24 (assume @p1030 (forall (@list @t1 @t19 @t763 @t120 @t18) (or @t1116 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t985 @t1 @t1)) @t120))) @t984 @t348))) % 1.01/1.24 (assume @p1031 (forall (@list @t1 @t19 @t763 @t54 @t536) (or @t1116 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t983 @t1 @t1)) @t54))) @t982 @t358))) % 1.01/1.24 (assume @p1032 (forall @t1117 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair @t990 @t3 @t69 @t1)) @t54)) @t989))) % 1.01/1.24 (assume @p1033 (forall @t1117 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair @t993 @t3 @t69 @t1)) @t54)) @t989))) % 1.01/1.24 (assume @p1034 (forall (@list @t69 @t139 @t1 @t174 @t38) (or (not (tptp.class_Ring__and__Field_Ofield @t69)) (not (tptp.class_Ring__and__Field_Odivision__by__zero @t69)) (= (tptp.c_Finite__Set_Osetprod (tptp.c_COMBS (tptp.c_COMBB @t1118 @t139 @t69 @t934 @t1) @t174 @t1 @t69 @t69) @t38 @t1 @t69) (tptp.hAPP (tptp.hAPP @t1118 @t298) @t594)) @t172))) % 1.01/1.24 (assume @p1035 (forall @t1121 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t4 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t4 @t54 @t1 @t69) @t1 @t69)) @t54)) @t1120))) % 1.01/1.24 (assume @p1036 (forall @t1121 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t4 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t4 @t54 @t1 @t69) @t1 @t69)) @t54)) @t1120))) % 1.01/1.24 (assume @p1037 (forall @t1018 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1017 @t18 @t1 @t1)) @t120)) @t1016))) % 1.01/1.24 (assume @p1038 (forall @t1068 (or @t441 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t1013 @t1 @t1)) @t54))) @t1006))) % 1.01/1.24 (assume @p1039 (forall @t1122 (or @t765 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t19 @t1019 tptp.t_a tptp.t_a)) @t54))) @t1010))) % 1.01/1.24 (assume @p1040 (forall @t1022 (or @t1021 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1020 @t18 @t1 @t1)) @t54))))) % 1.01/1.24 (assume @p1041 (forall @t1125 (or @t765 @t1124 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1123 @t1011 tptp.t_a tptp.t_a)) @t54))) @t1010))) % 1.01/1.24 (assume @p1042 (forall @t1122 (or @t765 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t19 @t1011 tptp.t_a tptp.t_a)) @t54))) @t1010))) % 1.01/1.24 (assume @p1043 (forall @t1125 (or @t765 @t1124 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1061 (tptp.c_Pair @t1123 @t1019 tptp.t_a tptp.t_a)) @t54))) @t1010))) % 1.01/1.24 (assume @p1044 (forall @t1068 (or @t441 @t1067 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t1007 @t1 @t1)) @t54))) @t1006))) % 1.01/1.24 (assume @p1045 (forall @t854 (or @t853 @t987))) % 1.01/1.24 (assume @p1046 (forall @t852 (or @t986 @t851 @t358))) % 1.01/1.24 (assume @p1047 (forall (@list @t69 @t1 @t3 @t54) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t3 @t54 @t1 @t69) @t3 @t69 @t1)) @t54)) (not (tptp.hBOOL (tptp.hAPP @t470 @t793)))))) % 1.01/1.24 (assume @p1048 (forall (@list @t69 @t1 @t4 @t54) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t4 @t54 @t1 @t69) @t4 @t69 @t1)) @t54)) (not @t1126)))) % 1.01/1.24 (assume @p1049 (forall @t1084 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t18 @t1092 @t1 @t1)) @t218)) @t1082))) % 1.01/1.24 (assume @p1050 (forall @t1093 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t1083 @t19 @t1 @t1)) @t218)) @t1082))) % 1.01/1.24 (assume @p1051 (forall (@list @t69 @t1 @t4 @t3 @t31 @t214) (or @t299 (= (tptp.c_Finite__Set_Osetprod (tptp.hAPP @t1129 @t31) @t214 @t1 @t69) (tptp.c_Power_Opower__class_Opower @t31 (tptp.c_Finite__Set_Ocard @t214 @t1) @t69)) @t1127 @t846))) % 1.01/1.24 (assume @p1052 (forall @t1134 (or (= @t1133 @t157) @t1132 @t1130))) % 1.01/1.24 (assume @p1053 (forall @t1134 (or (= @t1133 @t142) @t1132 @t1135))) % 1.01/1.24 (assume @p1054 (forall @t1134 (or (= @t1133 @t37) @t1131 @t1130))) % 1.01/1.24 (assume @p1055 (forall @t609 (or @t181 (= @t607 (tptp.hAPP (tptp.hAPP @t175 (tptp.hAPP (tptp.c_COMBC @t939 @t1 @t69 @t69) @t964)) @t38)) @t172))) % 1.01/1.24 (assume @p1056 (forall (@list @t1 @t69 @t4 @t3 @t54) (or @t1139 (not @t1137)))) % 1.01/1.24 (assume @p1057 (forall @t1142 (or (tptp.hBOOL (tptp.hAPP @t1136 @t1141)) @t1140))) % 1.01/1.24 (assume @p1058 (forall (@list @t139 @t54 @t4 @t1 @t69 @t18) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t139 @t54 @t4 @t1 @t69) @t18) @t150) @t1144))) % 1.01/1.24 (assume @p1059 (forall (@list @t139 @t120 @t4 @t1 @t69 @t18) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t139 @t120 @t4 @t1 @t69) @t18) @t150) (not (tptp.hBOOL (tptp.hAPP @t1143 @t120)))))) % 1.01/1.24 (assume @p1060 (forall @t1147 (or @t299 (= @t1146 @t997) @t1127 @t846))) % 1.01/1.24 (assume @p1061 (forall @t1147 (or @t181 (= @t1150 @t1149) @t1148 @t846))) % 1.01/1.24 (assume @p1062 (forall @t1147 (or @t181 (= @t1150 @t964) @t1127 @t846))) % 1.01/1.24 (assume @p1063 (forall @t1147 (or @t299 (= @t1146 @t1149) @t1148 @t846))) % 1.01/1.24 (assume @p1064 (forall (@list @t18 @t19 @t1 @t120) (or @t578 @t1153 @t1151))) % 1.01/1.24 (assume @p1065 (forall @t1155 (or @t1151 @t1154))) % 1.01/1.24 (assume @p1066 (forall @t1159 (or @t1158 @t1157 @t1006))) % 1.01/1.24 (assume @p1067 (forall @t1159 (or @t1158 @t1006 @t1157))) % 1.01/1.24 (assume @p1068 (forall @t1161 (or (tptp.hBOOL (tptp.hAPP @t1002 @t57)) @t1160))) % 1.01/1.24 (assume @p1069 (forall @t1161 (or @t1003 @t1160))) % 1.01/1.24 (assume @p1070 (forall @t1166 (or @t1165 @t1163 @t674))) % 1.01/1.24 (assume @p1071 (forall @t1166 (or @t1165 @t1167 @t856))) % 1.01/1.24 (assume @p1072 (forall @t1168 (or @t1152 @t1082 @t578))) % 1.01/1.24 (assume @p1073 (forall @t1168 (or @t1081 @t578 @t1153))) % 1.01/1.24 (assume @p1074 (forall (@list @t1 @t4 @t3 @t120) (or (tptp.hBOOL (tptp.hAPP @t672 @t1080)) @t267 (not (tptp.hBOOL (tptp.hAPP @t672 @t218)))))) % 1.01/1.24 (assume @p1075 (forall @t854 (or @t1172 (not @t1170)))) % 1.01/1.24 (assume @p1076 (forall @t1173 (or @t1170 (not @t1172)))) % 1.01/1.24 (assume @p1077 (forall @t1048 (or @t855 @t1090))) % 1.01/1.24 (assume @p1078 (forall @t1166 (or @t1165 @t1163 @t1090))) % 1.01/1.24 (assume @p1079 (forall (@list @t1 @t18 @t256 @t54 @t19) (or @t1076 (not (tptp.hBOOL (tptp.hAPP @t1057 @t1001))) @t853))) % 1.01/1.24 (assume @p1080 (forall @t854 (or @t1177 (not @t1175)))) % 1.01/1.24 (assume @p1081 (forall @t854 (or @t1175 (not @t1177)))) % 1.01/1.24 (assume @p1082 (forall @t849 (or (tptp.hBOOL (tptp.hAPP @t1178 @t38)) (not (tptp.hBOOL (tptp.hAPP @t639 @t689)))))) % 1.01/1.24 (assume @p1083 (forall (@list @t69 @t139 @t4 @t40 @t1) (or @t1180 (not @t1179)))) % 1.01/1.24 (assume @p1084 (forall (@list @t69 @t4 @t139 @t40 @t1) (or (tptp.hBOOL (tptp.hAPP @t1182 @t700)) (not (tptp.hBOOL (tptp.hAPP @t1181 @t40)))))) % 1.01/1.24 (assume @p1085 (forall (@list @t69 @t4 @t139 @t38 @t1) (or (tptp.hBOOL (tptp.hAPP @t1182 @t701)) (not (tptp.hBOOL (tptp.hAPP @t1181 @t38)))))) % 1.01/1.24 (assume @p1086 (forall (@list @t1 @t4 @t139 @t40 @t69) (or @t1179 (not @t1180)))) % 1.01/1.24 (assume @p1087 (forall @t977 (or (not (= @t974 @t973)) (= @t120 @t214)))) % 1.01/1.24 (assume @p1088 (forall @t1022 (or @t1021 @t358))) % 1.01/1.24 (assume @p1089 (forall @t585 (or (tptp.c_Relation_Osym @t1001 @t1) @t67))) % 1.01/1.24 (assume @p1090 (forall @t145 (or @t748 @t171))) % 1.01/1.24 (assume @p1091 (forall @t585 (or @t66 (not @t1183)))) % 1.01/1.24 (assume @p1092 (forall @t585 (or @t1183 @t67))) % 1.01/1.24 (assume @p1093 (forall @t585 (= (tptp.c_Relation_ODomain @t1001 @t1 @t1) @t359))) % 1.01/1.24 (assume @p1094 (forall @t1185 (or @t1039 @t1184 @t560 @t172 @t1043))) % 1.01/1.24 (assume @p1095 (forall @t1185 (or @t1045 @t1039 @t1184 @t560 @t172 @t1043))) % 1.01/1.24 (assume @p1096 (forall @t317 (or @t110 (not (tptp.hBOOL (tptp.hAPP @t1186 @t2)))))) % 1.01/1.24 (assume @p1097 (forall @t75 (tptp.c_Relation_Osym @t396 @t1))) % 1.01/1.24 (assume @p1098 (forall (@list @t1 @t120 @t69) (= (tptp.c_Relation_Orel__comp @t396 @t120 @t1 @t1 @t69) @t120))) % 1.01/1.24 (assume @p1099 (forall @t121 (= (tptp.c_Relation_Orel__comp @t120 (tptp.c_Relation_OId @t69) @t1 @t69 @t69) @t120))) % 1.01/1.24 (assume @p1100 (forall @t39 (tptp.c_Relation_Oantisym @t811 @t1))) % 1.01/1.24 (assume @p1101 (forall @t585 (or (tptp.c_Wellfounded_Owf @t1176 @t1) (not (tptp.c_Wellfounded_Owf @t582 @t1))))) % 1.01/1.24 (assume @p1102 (forall @t1188 (or @t365 (not @t1187)))) % 1.01/1.24 (assume @p1103 (forall @t1188 (or @t1187 @t366))) % 1.01/1.24 (assume @p1104 (forall @t585 (or (tptp.c_Relation_Osym @t57 @t1) @t67))) % 1.01/1.24 (assume @p1105 (forall @t1025 (or @t1189 @t348))) % 1.01/1.24 (assume @p1106 (forall @t1025 (or @t347 (not @t1189)))) % 1.01/1.24 (assume @p1107 (forall @t145 (= (tptp.c_Relation_OImage @t396 @t38 @t1 @t1) @t38))) % 1.01/1.24 (assume @p1108 (forall @t75 (or @t519 (not (= @t2 @t61))))) % 1.01/1.24 (assume @p1109 (forall @t39 (= (tptp.c_Relation_ODomain @t811 @t1 @t1) @t38))) % 1.01/1.24 (assume @p1110 (forall @t585 (or @t1190 @t67))) % 1.01/1.24 (assume @p1111 (forall @t585 (or (not @t1190) @t66))) % 1.01/1.24 (assume @p1112 (forall @t585 (= (tptp.c_Relation_ORange @t1001 @t1 @t1) (tptp.c_Relation_ORange @t54 @t1 @t1)))) % 1.01/1.24 (assume @p1113 (forall @t1100 (or @t433 (= @t1094 @t61) @t1191))) % 1.01/1.24 (assume @p1114 (forall @t967 (or @t299 (= @t298 @t997) @t171))) % 1.01/1.24 (assume @p1115 (forall (@list @t54 @t53 @t69 @t363 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t54 @t53 @t69 @t363 @t1) @t69 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t53 @t363 @t1) (tptp.c_Relation_Oconverse @t54 @t69 @t363) @t1 @t363 @t69)))) % 1.01/1.24 (assume @p1116 (forall @t39 (tptp.c_Relation_Osym @t811 @t1))) % 1.01/1.24 (assume @p1117 (forall @t39 (tptp.c_Relation_Orefl__on @t38 @t811 @t1))) % 1.01/1.24 (assume @p1118 (forall @t1193 (or (tptp.c_Wellfounded_Owf @t1192 @t69) @t358))) % 1.01/1.24 (assume @p1119 (forall @t585 (= @t1194 @t1104))) % 1.01/1.24 (assume @p1120 (forall @t1193 (or (tptp.c_Relation_Osym @t1192 @t69) @t67))) % 1.01/1.24 (assume @p1121 (forall @t1025 (= (tptp.c_Transitive__Closure_Otrancl @t218 @t1) @t218))) % 1.01/1.24 (assume @p1122 (forall @t75 (= (tptp.c_Relation_Oconverse @t396 @t1 @t1) @t396))) % 1.01/1.24 (assume @p1123 (forall @t585 (or (tptp.c_Wellfounded_Owf @t1001 @t1) @t358))) % 1.01/1.24 (assume @p1124 (forall (@list @t120 @t214 @t1 @t1195 @t363 @t710 @t69) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t120 @t214 @t1 @t1195 @t363) @t710 @t1 @t363 @t69) (tptp.c_Relation_Orel__comp @t120 (tptp.c_Relation_Orel__comp @t214 @t710 @t1195 @t363 @t69) @t1 @t1195 @t69)))) % 1.01/1.24 (assume @p1125 (forall (@list @t120 @t139 @t69 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t120 @t139 @t69 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t120 @t69 @t69) @t139 @t69 @t1)))) % 1.01/1.24 (assume @p1126 (forall @t585 (= @t1174 @t1176))) % 1.01/1.24 (assume @p1127 (forall @t456 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t454 @t453)) @t589))) % 1.01/1.24 (assume @p1128 (forall @t39 (= (tptp.c_Relation_Oconverse @t811 @t1 @t1) @t811))) % 1.01/1.24 (assume @p1129 (forall @t585 (or (not @t1196) (tptp.c_Equiv__Relations_Oequiv @t359 @t54 @t1)))) % 1.01/1.24 (assume @p1130 (forall @t75 (tptp.c_Relation_Oantisym @t396 @t1))) % 1.01/1.24 (assume @p1131 (forall (@list @t139 @t120 @t1) (or (tptp.c_Wellfounded_Owf @t1110 @t1) @t348))) % 1.01/1.24 (assume @p1132 (forall @t1197 (= (tptp.c_Relation_ORange @t1141 @t69 @t1) @t70))) % 1.01/1.24 (assume @p1133 (forall @t39 (= (tptp.c_Relation_ORange @t811 @t1 @t1) @t38))) % 1.01/1.24 (assume @p1134 (forall @t75 (or @t110 (not (tptp.hBOOL (tptp.hAPP @t580 @t2)))))) % 1.01/1.24 (assume @p1135 (forall @t1197 (= (tptp.c_Relation_Oconverse @t1141 @t69 @t1) @t54))) % 1.01/1.24 (assume @p1136 (forall @t75 (or @t519 (not (= @t61 @t2))))) % 1.01/1.24 (assume @p1137 (forall @t971 (or @t30 (= @t970 @t2) @t1191))) % 1.01/1.24 (assume @p1138 (forall @t1029 (or @t181 @t965 @t171))) % 1.01/1.24 (assume @p1139 (forall @t1106 (or @t1196 @t670))) % 1.01/1.24 (assume @p1140 (forall @t1025 (= (tptp.c_Relation_Orel__comp @t218 @t218 @t1 @t1 @t1) @t218))) % 1.01/1.24 (assume @p1141 (forall @t585 (or @t819 (not @t1198)))) % 1.01/1.24 (assume @p1142 (forall @t585 (or @t1198 @t1027))) % 1.01/1.24 (assume @p1143 (forall @t1188 (or @t365 @t670))) % 1.01/1.24 (assume @p1144 (forall @t75 (or @t110 (tptp.hBOOL (tptp.hAPP @t190 @t61))))) % 1.01/1.24 (assume @p1145 (forall @t585 (= @t1171 (tptp.c_Relation_Oconverse @t57 @t1 @t1)))) % 1.01/1.24 (assume @p1146 (forall @t1106 (or @t66 @t670))) % 1.01/1.24 (assume @p1147 (forall @t1200 (= @t1199 @t793))) % 1.01/1.24 (assume @p1148 (forall @t585 (= @t1001 @t1104))) % 1.01/1.24 (assume @p1149 (forall @t585 (= @t1001 @t1194))) % 1.01/1.24 (assume @p1150 (forall @t1200 (= @t793 @t1199))) % 1.01/1.24 (assume @p1151 (forall @t1188 (or @t1202 (not @t1201)))) % 1.01/1.24 (assume @p1152 (forall @t1188 (or @t1201 @t1203))) % 1.01/1.24 (assume @p1153 (forall (@list @t38 @t139 @t18 @t1 @t69) (or @t1205 (not @t1204)))) % 1.01/1.24 (assume @p1154 (forall (@list @t139 @t38 @t1 @t69 @t18) (or @t1204 (not @t1205)))) % 1.01/1.24 (assume @p1155 (forall (@list @t139 @t1) (tptp.c_Wellfounded_Owf @t1206 @t1))) % 1.01/1.24 (assume @p1156 (forall @t1025 (= (tptp.c_Transitive__Closure_Ortrancl @t1080 @t1) @t218))) % 1.01/1.24 (assume @p1157 (forall @t585 (= (tptp.c_Transitive__Closure_Ortrancl @t57 @t1) @t57))) % 1.01/1.24 (assume @p1158 (forall @t1142 (or @t1137 (not @t1139)))) % 1.01/1.24 (assume @p1159 (forall @t1022 (or @t1075 (not @t1108)))) % 1.01/1.24 (assume @p1160 (forall @t1166 (or @t1165 @t1167 @t1090))) % 1.01/1.24 (assume @p1161 (forall @t1166 (or @t1165 @t1207 @t674))) % 1.01/1.24 (assume @p1162 (forall @t1166 (or @t1208 @t1167 @t856))) % 1.01/1.24 (assume @p1163 (forall @t1166 (or @t1208 @t1163 @t674))) % 1.01/1.24 (assume @p1164 (forall @t1048 (or @t1089 @t674))) % 1.01/1.24 (assume @p1165 (forall @t1166 (or @t1208 @t1163 @t856))) % 1.01/1.24 (assume @p1166 (forall @t1210 (tptp.hBOOL (tptp.hAPP @t1209 @t57)))) % 1.01/1.24 (assume @p1167 (forall @t1155 @t1154)) % 1.01/1.24 (assume @p1168 (forall (@list @t1 @t18 @t4 @t54) (or @t1144 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t4 @t18 @t1 @t1)) @t54))) @t358))) % 1.01/1.24 (assume @p1169 (forall (@list @t18 @t19 @t1 @t54) (or @t578 @t1212 @t933 @t1027))) % 1.01/1.24 (assume @p1170 (forall (@list @t4 @t3 @t1 @t54) (or @t267 (not @t1213) @t674 @t1027))) % 1.01/1.24 (assume @p1171 (forall (@list @t139 @t19 @t256 @t1 @t54 @t69) (or (= @t1109 (tptp.hAPP @t139 @t256)) (not (tptp.hBOOL (tptp.hAPP @t1057 @t54))) (not (tptp.c_Equiv__Relations_Ocongruent @t54 @t139 @t1 @t69))))) % 1.01/1.24 (assume @p1172 (forall (@list @t18 @t19 @t1 @t38) (or @t578 @t1214))) % 1.01/1.24 (assume @p1173 (forall (@list @t139 @t54 @t18 @t1 @t69 @t174 @t19) (or (not @t801) (= @t1109 (tptp.hAPP @t174 @t19)) @t1212))) % 1.01/1.24 (assume @p1174 (forall (@list @t4 @t3 @t1) (or @t267 (not (tptp.hBOOL (tptp.hAPP @t672 @t396)))))) % 1.01/1.24 (assume @p1175 (forall @t1022 (or @t1074 (not @t1114)))) % 1.01/1.24 (assume @p1176 (forall @t1210 (or (not @t1215) @t358))) % 1.01/1.24 (assume @p1177 (forall (@list @t1 @t18 @t19 @t54 @t139 @t69) (or @t1217 (not @t1216)))) % 1.01/1.24 (assume @p1178 (forall (@list @t69 @t139 @t18 @t19 @t54 @t1) (or @t1216 (not @t1217)))) % 1.01/1.24 (assume @p1179 (forall @t1173 (or @t1211 @t933 @t67))) % 1.01/1.24 (assume @p1180 (forall (@list @t1 @t3 @t4 @t54) (or @t1213 @t674 @t67))) % 1.01/1.24 (assume @p1181 (forall (@list @t1 @t363 @t4 @t31 @t54 @t53 @t69 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1097 (tptp.c_Pair @t4 @t31 @t1 @t363)) @t364)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in @t495) (tptp.c_Pair @t3 @t31 @t69 @t363)) @t53))) @t1140))) % 1.01/1.24 (assume @p1182 (forall (@list @t1 @t4 @t31 @t120 @t3) (or (tptp.hBOOL (tptp.hAPP @t1164 @t1080)) (not (tptp.hBOOL (tptp.hAPP @t1162 @t120))) (not (tptp.hBOOL (tptp.hAPP @t672 @t120)))))) % 1.01/1.24 (assume @p1183 (forall @t1166 (or @t1165 @t1207 @t1090))) % 1.01/1.24 (assume @p1184 (forall @t44 (tptp.hBOOL (tptp.hAPP @t1073 @t396)))) % 1.01/1.24 (assume @p1185 (forall @t231 (tptp.hBOOL (tptp.hAPP @t1209 @t396)))) % 1.01/1.24 (assume @p1186 (forall @t456 (or @t110 @t919 (not @t1218)))) % 1.01/1.24 (assume @p1187 (forall @t456 (or @t110 @t1218 @t920))) % 1.01/1.24 (assume @p1188 (forall (@list @t4 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1220 (tptp.c_Pair @t4 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t4 @t3))) @t267))) % 1.01/1.24 (assume @p1189 (forall @t1147 (or @t299 (= @t1221 @t997) @t1127 @t846))) % 1.01/1.24 (assume @p1190 (forall @t1147 (or @t181 (= @t1222 @t1149) @t1148 @t846))) % 1.01/1.24 (assume @p1191 (forall @t1147 (or @t299 (= @t1221 @t1149) @t1148 @t846))) % 1.01/1.24 (assume @p1192 (forall @t1147 (or @t181 (= @t1222 @t964) @t1127 @t846))) % 1.01/1.24 (assume @p1193 (forall @t1134 (or (= @t1133 @t40) @t1131 @t1135))) % 1.01/1.24 (assume @p1194 (forall (@list @t1 @t69 @t4 @t3 @t38 @t40) (or @t1225 (not @t1224) @t643))) % 1.01/1.24 (assume @p1195 (forall (@list @t1 @t4 @t54 @t3) (or @t1005 @t674 (not @t1158)))) % 1.01/1.24 (assume @p1196 (forall (@list @t1 @t19 @t54 @t4) (or (tptp.hBOOL (tptp.hAPP @t926 @t1004)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t19 @t4 @t1 @t1)) @t54))) @t1006))) % 1.01/1.24 (assume @p1197 (forall (@list @t69 @t3 @t54 @t38 @t1 @t4) (or (tptp.hBOOL (tptp.hAPP @t1223 @t836)) @t1140 @t643))) % 1.01/1.24 (assume @p1198 (forall (@list @t1 @t3 @t54 @t38 @t69 @t18) (or @t988 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair @t18 @t3 @t69 @t1)) @t54))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t991 @t18) @t38)))))) % 1.01/1.24 (assume @p1199 (forall (@list @t1 @t18 @t38 @t19) (or @t559 @t1214))) % 1.01/1.24 (assume @p1200 (forall @t896 (or (tptp.hBOOL (tptp.hAPP @t1073 @t811)) @t560))) % 1.01/1.24 (assume @p1201 (forall @t1226 (or @t927 @t933 @t670))) % 1.01/1.24 (assume @p1202 (forall @t1227 (or @t559 @t933 @t670))) % 1.01/1.24 (assume @p1203 (forall @t1228 (or @t1126 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t979 (tptp.c_Pair @t18 @t4 @t69 @t1)) @t54)))))) % 1.01/1.24 (assume @p1204 (forall (@list @t69 @t3 @t54 @t1 @t4) (or (tptp.hBOOL (tptp.hAPP @t1223 (tptp.c_Relation_ORange @t54 @t1 @t69))) @t1140))) % 1.01/1.24 (assume @p1205 (forall @t1228 (or @t1119 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t955 (tptp.c_Pair @t4 @t18 @t1 @t69)) @t54)))))) % 1.01/1.24 (assume @p1206 (forall (@list @t1 @t4 @t54 @t69 @t3) (or @t1119 @t1140))) % 1.01/1.24 (assume @p1207 (forall (@list @t69 @t3 @t40 @t4 @t1 @t38) (or @t1224 @t1229))) % 1.01/1.24 (assume @p1208 (forall (@list @t1 @t4 @t38 @t69 @t3 @t40) (or @t642 @t1229))) % 1.01/1.24 (assume @p1209 (forall (@list @t1 @t536 @t18 @t54 @t38) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t536 @t18 @t1 @t1)) @t54)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t671 (tptp.c_Pair @t18 @t536 @t1 @t1)) @t54)) (= @t18 @t536) (not (tptp.hBOOL (tptp.hAPP @t981 @t38))) @t560 @t1203))) % 1.01/1.24 (assume @p1210 (forall (@list @t1 @t18 @t54 @t38) (or @t1074 @t560 @t366))) % 1.01/1.24 (assume @p1211 (forall @t1226 (or @t927 @t933 @t366))) % 1.01/1.24 (assume @p1212 (forall @t1227 (or @t559 @t933 @t366))) % 1.01/1.24 (assume @p1213 (forall @t866 (or @t1215 @t643 @t366))) % 1.01/1.24 (assume @p1214 (forall @t1112 (or @t1111 @t1231))) % 1.01/1.24 (assume @p1215 (forall (@list @t1 @t18 @t19 @t139) (or @t1232 @t1231))) % 1.01/1.24 (assume @p1216 (forall (@list @t139 @t18 @t19 @t1) (or @t1230 (not @t1232)))) % 1.01/1.24 (assume @p1217 (or @t1243 (not @t1242))) % 1.01/1.24 (assume @p1218 (or @t1242 (not @t1243))) % 1.01/1.24 (assume @p1219 (forall @t14 (or @t759 @t631 @t187))) % 1.01/1.24 (assume @p1220 (forall @t662 (or @t759 @t904 @t844))) % 1.01/1.24 (assume @p1221 (forall @t25 (or @t468 @t844 @t904))) % 1.01/1.24 (assume @p1222 (forall @t16 (or @t593 @t187 @t631))) % 1.01/1.24 (assume @p1223 (forall @t1250 (or @t1249 @t1247 @t578 @t1051))) % 1.01/1.24 (assume @p1224 (forall @t1250 (or @t1249 @t1247 @t385 @t1051))) % 1.01/1.24 (assume @p1225 (forall @t1254 (or @t1253 (= @t3 @t1251)))) % 1.01/1.24 (assume @p1226 (forall @t1254 (or @t1253 (= @t4 @t1252)))) % 1.01/1.24 (assume @p1227 (forall @t1257 (not (tptp.hBOOL (tptp.hAPP @t1256 @t1255))))) % 1.01/1.24 (assume @p1228 (forall @t1258 (not (tptp.hBOOL (tptp.hAPP @t1245 @t1255))))) % 1.01/1.24 (assume @p1229 (forall @t25 (or @t468 @t578 @t843 @t903))) % 1.01/1.24 (assume @p1230 (forall @t662 (or @t468 @t903 @t578 @t843))) % 1.01/1.24 (assume @p1231 (forall @t662 (or @t468 @t903 @t843 @t578))) % 1.01/1.24 (assume @p1232 (forall (@list @t19 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t19) @t18)) @t922 @t578))) % 1.01/1.24 (assume @p1233 (forall (@list @t439 @t106 @t122) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t439 @t106) @t122)) @t1259 @t589 @t919))) % 1.01/1.24 (assume @p1234 (forall @t845 (or @t1259 @t919 @t589))) % 1.01/1.24 (assume @p1235 (forall @t25 (or @t468 @t578 @t903 @t843))) % 1.01/1.24 (assume @p1236 (forall @t662 (or @t634 @t903 @t843 @t578))) % 1.01/1.24 (assume @p1237 (forall @t1250 (or @t1246 @t385 (not @t1249)))) % 1.01/1.24 (assume @p1238 (forall @t44 (or @t759 @t911))) % 1.01/1.24 (assume @p1239 (forall @t44 (or @t468 @t911))) % 1.01/1.24 (assume @p1240 (forall @t44 (or @t593 @t911))) % 1.01/1.24 (assume @p1241 (forall @t576 (not (tptp.hBOOL (tptp.hAPP @t924 @t106))))) % 1.01/1.24 (assume @p1242 (forall @t762 (not (tptp.hBOOL (tptp.hAPP @t921 @t18))))) % 1.01/1.24 (assume @p1243 (forall @t1258 (or @t578 @t78 (tptp.hBOOL (tptp.hAPP @t1245 @t1261))))) % 1.01/1.24 (assume @p1244 (forall @t1257 (not (tptp.hBOOL (tptp.hAPP @t1256 @t1261))))) % 1.01/1.24 (assume @p1245 (forall @t1263 (not (tptp.hBOOL (tptp.hAPP @t1262 @t1261))))) % 1.01/1.24 (assume @p1246 (forall @t723 (or @t759 @t899 @t900 @t844))) % 1.01/1.24 (assume @p1247 (forall @t261 (or @t593 @t902 @t901 @t904))) % 1.01/1.24 (assume @p1248 (forall @t1250 (or @t1264 @t1247 @t578 @t385))) % 1.01/1.24 (assume @p1249 (forall @t1250 (or @t1264 @t1247 @t1051 @t385))) % 1.01/1.24 (assume @p1250 (forall (@list @t1 @t18 @t214) (or @t847 (not @t1265)))) % 1.01/1.24 (assume @p1251 (forall (@list @t214 @t18 @t1) (or @t1265 @t848))) % 1.01/1.24 (assume @p1252 (forall (@list @t439 @t763 @t69 @t1 @t363 @t120) (= (tptp.hAPP (tptp.c_COMBB @t439 @t763 @t69 @t1 @t363) @t120) (tptp.hAPP @t439 @t1266)))) % 1.01/1.24 (assume @p1253 (forall (@list @t439 @t69 @t363 @t1 @t763 @t120) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t439 @t69 @t363 @t1) @t763) @t120) (tptp.hAPP @t1267 @t763)))) % 1.01/1.24 (assume @p1254 (forall (@list @t439 @t763 @t69 @t363 @t1 @t120) (= (tptp.hAPP (tptp.c_COMBS @t439 @t763 @t69 @t363 @t1) @t120) (tptp.hAPP @t1267 @t1266)))) % 1.01/1.24 (assume @p1255 (forall @t1263 (or @t1268 @t1268 (tptp.hBOOL (tptp.hAPP @t1262 @t1255))))) % 1.01/1.24 (assume @p1256 (forall @t1250 (or @t1246 @t1051 (not @t1264)))) % 1.01/1.24 (assume @p1257 @t1269) % 1.01/1.24 (assume @p1258 (or @t1270 (not @t1269))) % 1.01/1.24 (assume @p1259 (or @t1269 @t1271)) % 1.01/1.24 (assume @p1260 @t1271) % 1.01/1.24 (assume @p1261 (forall @t1276 (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_prod @t1272 @t1274)) @t1275 @t1273))) % 1.01/1.24 (assume @p1262 (forall @t1276 (or (tptp.class_Lattices_Oupper__semilattice @t1278) @t1277))) % 1.01/1.24 (assume @p1263 (forall @t1276 (or (tptp.class_Lattices_Olower__semilattice @t1278) @t1277))) % 1.01/1.24 (assume @p1264 (forall @t1276 (or (tptp.class_Lattices_Odistrib__lattice @t1278) (not (tptp.class_Lattices_Odistrib__lattice @t1274))))) % 1.01/1.24 (assume @p1265 (forall @t1276 (or (tptp.class_Lattices_Obounded__lattice @t1278) (not (tptp.class_Lattices_Obounded__lattice @t1274))))) % 1.01/1.24 (assume @p1266 (forall @t1276 (or (tptp.class_Lattices_Oboolean__algebra @t1278) (not (tptp.class_Lattices_Oboolean__algebra @t1274))))) % 1.01/1.24 (assume @p1267 (forall @t1276 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t1278) @t1275 @t1273))) % 1.01/1.24 (assume @p1268 (forall @t1276 (or (tptp.class_Orderings_Opreorder @t1278) (not (tptp.class_Orderings_Opreorder @t1274))))) % 1.01/1.24 (assume @p1269 (forall @t1276 (or (tptp.class_Lattices_Olattice @t1278) @t1277))) % 1.01/1.24 (assume @p1270 (forall @t1276 (or (tptp.class_Orderings_Oorder @t1278) (not (tptp.class_Orderings_Oorder @t1274))))) % 1.01/1.24 (assume @p1271 (forall @t1276 (or (tptp.class_Orderings_Otop @t1278) (not (tptp.class_Orderings_Otop @t1274))))) % 1.01/1.24 (assume @p1272 (forall @t1276 (or (tptp.class_Orderings_Obot @t1278) (not (tptp.class_Orderings_Obot @t1274))))) % 1.01/1.24 (assume @p1273 (forall @t1276 (or (tptp.class_HOL_Oord @t1278) (not (tptp.class_HOL_Oord @t1274))))) % 1.01/1.24 (assume @p1274 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.01/1.24 (assume @p1275 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.01/1.24 (assume @p1276 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.01/1.24 (assume @p1277 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.01/1.24 (assume @p1278 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.01/1.24 (assume @p1279 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.01/1.24 (assume @p1280 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.01/1.24 (assume @p1281 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.01/1.24 (assume @p1282 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.01/1.24 (assume @p1283 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.01/1.24 (assume @p1284 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.01/1.24 (assume @p1285 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.01/1.24 (assume @p1286 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.01/1.24 (assume @p1287 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.01/1.24 (assume @p1288 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.01/1.24 (assume @p1289 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.01/1.24 (assume @p1290 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.01/1.24 (assume @p1291 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.01/1.24 (assume @p1292 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.01/1.24 (assume @p1293 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.01/1.24 (assume @p1294 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.01/1.24 (assume @p1295 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.01/1.24 (assume @p1296 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.01/1.24 (assume @p1297 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.01/1.24 (assume @p1298 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.01/1.24 (assume @p1299 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.01/1.24 (assume @p1300 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.01/1.24 (assume @p1301 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.01/1.24 (assume @p1302 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 1.01/1.24 (assume @p1303 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.01/1.24 (assume @p1304 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.01/1.24 (assume @p1305 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.01/1.24 (assume @p1306 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 1.01/1.24 (assume @p1307 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.01/1.24 (assume @p1308 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.01/1.24 (assume @p1309 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.01/1.24 (assume @p1310 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.01/1.24 (assume @p1311 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.01/1.24 (assume @p1312 (tptp.class_Power_Opower tptp.tc_nat)) % 1.01/1.24 (assume @p1313 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.01/1.24 (assume @p1314 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.01/1.24 (assume @p1315 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.01/1.24 (assume @p1316 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.01/1.24 (assume @p1317 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.01/1.24 (assume @p1318 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 1.01/1.24 (assume @p1319 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.01/1.24 (assume @p1320 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.01/1.24 (assume @p1321 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.01/1.24 (assume @p1322 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.01/1.24 (assume @p1323 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.01/1.24 (assume @p1324 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.01/1.24 (assume @p1325 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.01/1.24 (assume @p1326 (forall @t44 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1128 @t18) @t18)))) % 1.01/1.24 (assume @p1327 (forall (@list @t1280 @t1279 @t1) (or (= @t1280 @t1279) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1128 @t1280) @t1279)))))) % 1.01/1.24 (step @p1328 :rule chain_m_resolution :premises (@p1258 @p1257) :args (@t1270 @t1281 (@list @t1269))) % 1.01/1.24 (step @p1329 false :rule chain_m_resolution :premises (@p1260 @p1328) :args (false @t1281 (@list @t1270))) % 1.01/1.24 ) % 1.01/1.24 % SZS output end Proof % 1.01/1.24 % cvc5 exiting %------------------------------------------------------------------------------