%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL850-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:02 AM UTC 2026 % Result : Unsatisfiable 1.53s 1.85s % Output : Proof 1.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL850-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n017.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 17:54:50 UTC 2026 % 0.08/0.35 % CPUTime : % 0.37/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.53/1.85 % SZS status Unsatisfiable % 1.53/1.85 % SZS output start Proof % 1.63/1.92 ( % 1.63/1.92 (declare-sort $$unsorted 0) % 1.63/1.92 (declare-const tptp.v_U____ $$unsorted) % 1.63/1.92 (declare-const tptp.v_ea____ $$unsorted) % 1.63/1.92 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.tc_Type_Otype $$unsorted) % 1.63/1.92 (declare-const tptp.tc_String_Ochar $$unsorted) % 1.63/1.92 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.v_s____ $$unsorted) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.t_a $$unsorted) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.tc_nat $$unsorted) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.v_ta____ $$unsorted) % 1.63/1.92 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.v_Ta____ $$unsorted) % 1.63/1.92 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.63/1.92 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 1.63/1.92 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.63/1.92 (define @t1 () (@var "V_c" $$unsorted)) % 1.63/1.92 (define @t2 () (@var "T_a" $$unsorted)) % 1.63/1.92 (define @t3 () (@var "V_e" $$unsorted)) % 1.63/1.92 (define @t4 () (@var "V_b" $$unsorted)) % 1.63/1.92 (define @t5 () (@var "V_a" $$unsorted)) % 1.63/1.92 (define @t6 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t4 @t2)) % 1.63/1.92 (define @t7 () (tptp.c_HOL_Oplus__class_Oplus @t2)) % 1.63/1.92 (define @t8 () (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 @t2)) @t1)) % 1.63/1.92 (define @t9 () (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t4 @t3 @t2))) % 1.63/1.92 (define @t10 () (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t5 @t3 @t2))) % 1.63/1.92 (define @t11 () (tptp.hAPP @t10 @t1)) % 1.63/1.92 (define @t12 () (not (tptp.class_Ring__and__Field_Oring @t2))) % 1.63/1.92 (define @t13 () (tptp.c_HOL_Ozero__class_Ozero @t2)) % 1.63/1.92 (define @t14 () (tptp.c_lessequals @t13 @t5 @t2)) % 1.63/1.92 (define @t15 () (not @t14)) % 1.63/1.92 (define @t16 () (@var "V_n" $$unsorted)) % 1.63/1.92 (define @t17 () (tptp.c_Power_Opower__class_Opower @t5 @t16 @t2)) % 1.63/1.92 (define @t18 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t2))) % 1.63/1.92 (define @t19 () (@list @t2 @t5 @t16)) % 1.63/1.92 (define @t20 () (@var "V_m" $$unsorted)) % 1.63/1.92 (define @t21 () (tptp.c_lessequals @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t22 () (not @t21)) % 1.63/1.92 (define @t23 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.63/1.92 (define @t24 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t25 () (= @t24 @t23)) % 1.63/1.92 (define @t26 () (@list @t20 @t16)) % 1.63/1.92 (define @t27 () (not @t25)) % 1.63/1.92 (define @t28 () (@var "V_z" $$unsorted)) % 1.63/1.92 (define @t29 () (@var "V_y" $$unsorted)) % 1.63/1.92 (define @t30 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t28 @t2)) % 1.63/1.92 (define @t31 () (@var "V_x" $$unsorted)) % 1.63/1.92 (define @t32 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t28 @t2)) % 1.63/1.92 (define @t33 () (tptp.c_Orderings_Oord__class_Omin @t31 @t29 @t2)) % 1.63/1.92 (define @t34 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 1.63/1.92 (define @t35 () (@list @t2 @t31 @t29 @t28)) % 1.63/1.92 (define @t36 () (tptp.c_HOL_Oord__class_Oless @t31 @t28 @t2)) % 1.63/1.92 (define @t37 () (not @t36)) % 1.63/1.92 (define @t38 () (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t2)) % 1.63/1.92 (define @t39 () (not @t38)) % 1.63/1.92 (define @t40 () (tptp.c_Orderings_Oord__class_Omax @t31 @t29 @t2)) % 1.63/1.92 (define @t41 () (tptp.c_HOL_Oord__class_Oless @t40 @t28 @t2)) % 1.63/1.92 (define @t42 () (not (tptp.class_Orderings_Olinorder @t2))) % 1.63/1.92 (define @t43 () (tptp.c_HOL_Oord__class_Oless @t23 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t44 () (not @t43)) % 1.63/1.92 (define @t45 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t46 () (@list @t16 @t20)) % 1.63/1.92 (define @t47 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t48 () (@var "V_j" $$unsorted)) % 1.63/1.92 (define @t49 () (@var "V_k" $$unsorted)) % 1.63/1.92 (define @t50 () (not (tptp.c_lessequals @t49 @t48 tptp.tc_nat))) % 1.63/1.92 (define @t51 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 1.63/1.92 (define @t52 () (tptp.hAPP @t51 @t49)) % 1.63/1.92 (define @t53 () (tptp.hAPP @t52 @t20)) % 1.63/1.92 (define @t54 () (tptp.c_Suc @t48)) % 1.63/1.92 (define @t55 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t56 () (tptp.c_Suc @t55)) % 1.63/1.92 (define @t57 () (= @t20 @t16)) % 1.63/1.92 (define @t58 () (not (= (tptp.c_List_Oreplicate @t20 @t31 @t2) (tptp.c_List_Oreplicate @t16 @t29 @t2)))) % 1.63/1.92 (define @t59 () (@list @t20 @t31 @t2 @t16 @t29)) % 1.63/1.92 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t13 @t5 @t2)) % 1.63/1.92 (define @t61 () (not @t60)) % 1.63/1.92 (define @t62 () (not (tptp.c_lessequals @t4 @t1 @t2))) % 1.63/1.92 (define @t63 () (tptp.hAPP @t7 @t5)) % 1.63/1.92 (define @t64 () (tptp.hAPP @t63 @t1)) % 1.63/1.92 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t4 @t64 @t2)) % 1.63/1.92 (define @t66 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t2))) % 1.63/1.92 (define @t67 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t2))) % 1.63/1.92 (define @t68 () (@list @t2 @t4 @t5 @t1)) % 1.63/1.92 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t23 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t70 () (not @t69)) % 1.63/1.92 (define @t71 () (tptp.hAPP @t51 @t16)) % 1.63/1.92 (define @t72 () (tptp.hAPP @t71 @t49)) % 1.63/1.92 (define @t73 () (@list @t20 @t16 @t49)) % 1.63/1.92 (define @t74 () (tptp.c_Suc @t23)) % 1.63/1.92 (define @t75 () (tptp.hAPP (tptp.hAPP @t51 @t74) @t23)) % 1.63/1.92 (define @t76 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t2)) % 1.63/1.92 (define @t77 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t20 @t2)) % 1.63/1.92 (define @t78 () (tptp.c_lessequals @t77 @t76 @t2)) % 1.63/1.92 (define @t79 () (@list @t2 @t20 @t16)) % 1.63/1.92 (define @t80 () (@var "V_s" $$unsorted)) % 1.63/1.92 (define @t81 () (@var "V_r" $$unsorted)) % 1.63/1.92 (define @t82 () (not (tptp.c_Lambda_Obeta @t81 @t80))) % 1.63/1.92 (define @t83 () (@var "V_i" $$unsorted)) % 1.63/1.92 (define @t84 () (@var "V_t" $$unsorted)) % 1.63/1.92 (define @t85 () (@var "V_dB" $$unsorted)) % 1.63/1.92 (define @t86 () (@var "V_f3" $$unsorted)) % 1.63/1.92 (define @t87 () (tptp.hAPP @t86 @t85)) % 1.63/1.92 (define @t88 () (tptp.c_Lambda_OdB_OAbs @t85)) % 1.63/1.92 (define @t89 () (@var "V_f2" $$unsorted)) % 1.63/1.92 (define @t90 () (@var "V_f1" $$unsorted)) % 1.63/1.92 (define @t91 () (@list @t90 @t89 @t86 @t85 @t2)) % 1.63/1.92 (define @t92 () (tptp.c_HOL_Oord__class_Oless @t28 @t31 @t2)) % 1.63/1.92 (define @t93 () (not @t92)) % 1.63/1.92 (define @t94 () (tptp.c_HOL_Oord__class_Oless @t28 @t29 @t2)) % 1.63/1.92 (define @t95 () (not @t94)) % 1.63/1.92 (define @t96 () (tptp.c_HOL_Oord__class_Oless @t28 @t33 @t2)) % 1.63/1.92 (define @t97 () (@list @t2 @t28 @t31 @t29)) % 1.63/1.92 (define @t98 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t29 tptp.tc_nat)) % 1.63/1.92 (define @t99 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t28 tptp.tc_nat)) % 1.63/1.92 (define @t100 () (@list @t31 @t29 @t28)) % 1.63/1.92 (define @t101 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t1 tptp.tc_nat)) % 1.63/1.92 (define @t102 () (@var "V_d" $$unsorted)) % 1.63/1.92 (define @t103 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t102 tptp.tc_nat)) % 1.63/1.92 (define @t104 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t1 @t2)) % 1.63/1.92 (define @t105 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t102 @t2)) % 1.63/1.92 (define @t106 () (not (tptp.class_Int_Onumber__ring @t2))) % 1.63/1.92 (define @t107 () (not (tptp.class_Ring__and__Field_Oidom @t2))) % 1.63/1.92 (define @t108 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t29 @t2)) % 1.63/1.92 (define @t109 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t28 @t2)) % 1.63/1.92 (define @t110 () (tptp.hAPP (tptp.hAPP @t7 @t108) @t109)) % 1.63/1.92 (define @t111 () (tptp.c_Suc @t16)) % 1.63/1.92 (define @t112 () (tptp.c_Suc @t20)) % 1.63/1.92 (define @t113 () (= @t16 @t23)) % 1.63/1.92 (define @t114 () (@list @t16)) % 1.63/1.92 (define @t115 () (tptp.hAPP @t63 @t5)) % 1.63/1.92 (define @t116 () (tptp.c_lessequals @t13 @t115 @t2)) % 1.63/1.92 (define @t117 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t2))) % 1.63/1.92 (define @t118 () (@list @t2 @t5)) % 1.63/1.92 (define @t119 () (tptp.c_Divides_Odiv__class_Odiv @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t120 () (@list @t2 @t31 @t29)) % 1.63/1.92 (define @t121 () (tptp.c_Lambda_OdB_OVar @t83)) % 1.63/1.92 (define @t122 () (not (tptp.c_lessequals @t83 @t48 tptp.tc_nat))) % 1.63/1.92 (define @t123 () (@var "V_u" $$unsorted)) % 1.63/1.92 (define @t124 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t83 tptp.tc_nat)) % 1.63/1.92 (define @t125 () (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t124 @t123 tptp.tc_nat)) @t16)) % 1.63/1.92 (define @t126 () (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t48 @t123 tptp.tc_nat))) % 1.63/1.92 (define @t127 () (tptp.hAPP @t126 @t16)) % 1.63/1.92 (define @t128 () (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t83 @t123 tptp.tc_nat))) % 1.63/1.92 (define @t129 () (tptp.hAPP @t128 @t20)) % 1.63/1.92 (define @t130 () (tptp.c_HOL_Ominus__class_Ominus @t129 @t127 tptp.tc_nat)) % 1.63/1.92 (define @t131 () (@list @t83 @t123 @t20 @t48 @t16)) % 1.63/1.92 (define @t132 () (not (tptp.c_lessequals @t48 @t83 tptp.tc_nat))) % 1.63/1.92 (define @t133 () (tptp.c_HOL_Ominus__class_Ominus @t83 @t48 tptp.tc_nat)) % 1.63/1.92 (define @t134 () (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t133 @t123 tptp.tc_nat)) @t20)) % 1.63/1.92 (define @t135 () (not (tptp.class_OrderedGroup_Ogroup__add @t2))) % 1.63/1.92 (define @t136 () (@list @t2 @t5 @t4)) % 1.63/1.92 (define @t137 () (@var "V_P" $$unsorted)) % 1.63/1.92 (define @t138 () (tptp.hBOOL (tptp.hAPP @t137 @t31))) % 1.63/1.92 (define @t139 () (tptp.hAPP @t51 @t4)) % 1.63/1.92 (define @t140 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t141 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t142 () (tptp.c_lessequals @t141 @t140 tptp.tc_nat)) % 1.63/1.92 (define @t143 () (@list @t20 @t49 @t16)) % 1.63/1.92 (define @t144 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t145 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t146 () (tptp.c_lessequals @t145 @t144 tptp.tc_nat)) % 1.63/1.92 (define @t147 () (@list @t49 @t20 @t16)) % 1.63/1.92 (define @t148 () (@var "V_q" $$unsorted)) % 1.63/1.92 (define @t149 () (@var "V_p" $$unsorted)) % 1.63/1.92 (define @t150 () (tptp.c_HOL_Otimes__class_Otimes @t149 @t148 tptp.tc_nat)) % 1.63/1.92 (define @t151 () (tptp.c_Power_Opower__class_Opower @t31 @t149 @t2)) % 1.63/1.92 (define @t152 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t2))) % 1.63/1.92 (define @t153 () (@list @t2 @t31 @t149 @t148)) % 1.63/1.92 (define @t154 () (tptp.hBOOL (tptp.hAPP @t137 @t23))) % 1.63/1.92 (define @t155 () (not @t154)) % 1.63/1.92 (define @t156 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t137)) % 1.63/1.92 (define @t157 () (@var "V_nat" $$unsorted)) % 1.63/1.92 (define @t158 () (tptp.hBOOL (tptp.hAPP @t137 @t157))) % 1.63/1.92 (define @t159 () (@list @t137 @t157)) % 1.63/1.92 (define @t160 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t5 @t2)) % 1.63/1.92 (define @t161 () (tptp.c_Power_Opower__class_Opower @t5 @t111 @t2)) % 1.63/1.92 (define @t162 () (not (tptp.class_OrderedGroup_Omonoid__mult @t2))) % 1.63/1.92 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t17 @t2)) % 1.63/1.92 (define @t164 () (not (tptp.class_Power_Opower @t2))) % 1.63/1.92 (define @t165 () (tptp.c_Power_Opower__class_Opower @t31 @t148 @t2)) % 1.63/1.92 (define @t166 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t165 @t2)) % 1.63/1.92 (define @t167 () (tptp.c_Suc @t148)) % 1.63/1.92 (define @t168 () (tptp.c_Power_Opower__class_Opower @t31 @t167 @t2)) % 1.63/1.92 (define @t169 () (@list @t2 @t31 @t148)) % 1.63/1.92 (define @t170 () (@var "V_l" $$unsorted)) % 1.63/1.92 (define @t171 () (not (tptp.c_lessequals @t49 @t170 tptp.tc_nat))) % 1.63/1.92 (define @t172 () (tptp.hAPP @t51 @t48)) % 1.63/1.92 (define @t173 () (tptp.hAPP @t172 @t170)) % 1.63/1.92 (define @t174 () (tptp.hAPP @t51 @t83)) % 1.63/1.92 (define @t175 () (tptp.hAPP @t174 @t49)) % 1.63/1.92 (define @t176 () (@list @t83 @t49 @t48 @t170)) % 1.63/1.92 (define @t177 () (tptp.c_lessequals @t5 @t4 @t2)) % 1.63/1.92 (define @t178 () (not @t177)) % 1.63/1.92 (define @t179 () (not (tptp.c_lessequals @t1 @t102 @t2))) % 1.63/1.92 (define @t180 () (tptp.hAPP @t7 @t4)) % 1.63/1.92 (define @t181 () (tptp.hAPP @t180 @t102)) % 1.63/1.92 (define @t182 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t2))) % 1.63/1.92 (define @t183 () (@list @t2 @t5 @t1 @t4 @t102)) % 1.63/1.92 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t20 @t111 tptp.tc_nat)) % 1.63/1.92 (define @t185 () (not @t184)) % 1.63/1.92 (define @t186 () (tptp.c_Suc @t31)) % 1.63/1.92 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t31 @t186 tptp.tc_nat)) % 1.63/1.92 (define @t188 () (tptp.c_lessequals @t31 @t31 tptp.tc_nat)) % 1.63/1.92 (define @t189 () (@list @t31)) % 1.63/1.92 (define @t190 () (tptp.hAPP @t7 @t13)) % 1.63/1.92 (define @t191 () (= (tptp.hAPP @t190 @t13) @t13)) % 1.63/1.92 (define @t192 () (not (tptp.c_lessequals @t13 @t13 @t2))) % 1.63/1.92 (define @t193 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t2))) % 1.63/1.92 (define @t194 () (@list @t2)) % 1.63/1.92 (define @t195 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t5 @t2)) % 1.63/1.92 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t4 @t2)) % 1.63/1.92 (define @t197 () (@var "V_dB2" $$unsorted)) % 1.63/1.92 (define @t198 () (@var "V_dB1" $$unsorted)) % 1.63/1.92 (define @t199 () (tptp.hAPP (tptp.hAPP @t89 @t198) @t197)) % 1.63/1.92 (define @t200 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t198) @t197)) % 1.63/1.92 (define @t201 () (@list @t90 @t89 @t86 @t198 @t197 @t2)) % 1.63/1.92 (define @t202 () (tptp.c_lessequals @t13 @t4 @t2)) % 1.63/1.92 (define @t203 () (not @t202)) % 1.63/1.92 (define @t204 () (tptp.hAPP @t63 @t4)) % 1.63/1.92 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t31 @t29 @t2)) % 1.63/1.92 (define @t206 () (not @t205)) % 1.63/1.92 (define @t207 () (not (tptp.class_Orderings_Opreorder @t2))) % 1.63/1.92 (define @t208 () (@list @t2 @t31 @t28 @t29)) % 1.63/1.92 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t29 @t31 @t2)) % 1.63/1.92 (define @t210 () (not @t209)) % 1.63/1.92 (define @t211 () (not (tptp.class_Orderings_Oorder @t2))) % 1.63/1.92 (define @t212 () (@var "V_T" $$unsorted)) % 1.63/1.92 (define @t213 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t84)) % 1.63/1.92 (define @t214 () (tptp.hAPP @t213 @t123)) % 1.63/1.92 (define @t215 () (not (tptp.c_Type_Otyping @t3 @t214 @t212))) % 1.63/1.92 (define @t216 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t212 @t3 @t84 @t123)) % 1.63/1.92 (define @t217 () (tptp.c_lessequals @t31 @t29 @t2)) % 1.63/1.92 (define @t218 () (not @t217)) % 1.63/1.92 (define @t219 () (= @t40 @t29)) % 1.63/1.92 (define @t220 () (tptp.c_lessequals @t31 @t28 @t2)) % 1.63/1.92 (define @t221 () (not @t220)) % 1.63/1.92 (define @t222 () (tptp.c_Orderings_Oord__class_Omin @t29 @t28 @t2)) % 1.63/1.92 (define @t223 () (tptp.c_lessequals @t31 @t222 @t2)) % 1.63/1.92 (define @t224 () (tptp.c_lessequals @t31 @t5 @t2)) % 1.63/1.92 (define @t225 () (not @t224)) % 1.63/1.92 (define @t226 () (tptp.c_lessequals @t31 @t4 @t2)) % 1.63/1.92 (define @t227 () (not @t226)) % 1.63/1.92 (define @t228 () (tptp.c_Orderings_Oord__class_Omin @t5 @t4 @t2)) % 1.63/1.92 (define @t229 () (tptp.c_lessequals @t31 @t228 @t2)) % 1.63/1.92 (define @t230 () (@list @t2 @t31 @t5 @t4)) % 1.63/1.92 (define @t231 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t137)) % 1.63/1.92 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t5 @t4 @t2)) % 1.63/1.92 (define @t233 () (not @t232)) % 1.63/1.92 (define @t234 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t102 @t2))) % 1.63/1.92 (define @t235 () (tptp.c_HOL_Oord__class_Oless @t13 @t4 @t2)) % 1.63/1.92 (define @t236 () (not @t235)) % 1.63/1.92 (define @t237 () (not (tptp.c_lessequals @t13 @t1 @t2))) % 1.63/1.92 (define @t238 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t102 @t2)) % 1.63/1.92 (define @t239 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t1 @t2)) % 1.63/1.92 (define @t240 () (tptp.c_HOL_Oord__class_Oless @t239 @t238 @t2)) % 1.63/1.92 (define @t241 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t2))) % 1.63/1.92 (define @t242 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t2))) % 1.63/1.92 (define @t243 () (@list @t2 @t16)) % 1.63/1.92 (define @t244 () (tptp.hAPP @t51 @t20)) % 1.63/1.92 (define @t245 () (tptp.hAPP @t244 @t16)) % 1.63/1.92 (define @t246 () (tptp.c_Suc @t245)) % 1.63/1.92 (define @t247 () (tptp.hAPP @t244 @t111)) % 1.63/1.92 (define @t248 () (tptp.hAPP (tptp.hAPP @t51 @t112) @t16)) % 1.63/1.92 (define @t249 () (tptp.hAPP @t9 @t102)) % 1.63/1.92 (define @t250 () (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t4 @t5 @t2) @t3 @t2)) @t102)) % 1.63/1.92 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t129 @t127 tptp.tc_nat)) % 1.63/1.92 (define @t252 () (not @t251)) % 1.63/1.92 (define @t253 () (tptp.c_HOL_Oord__class_Oless @t134 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t254 () (@list @t83 @t48 @t123 @t20 @t16)) % 1.63/1.92 (define @t255 () (tptp.c_HOL_Oord__class_Oless @t20 @t125 tptp.tc_nat)) % 1.63/1.92 (define @t256 () (@list @t20 @t48 @t83 @t123 @t16)) % 1.63/1.92 (define @t257 () (not (= @t11 @t249))) % 1.63/1.92 (define @t258 () (@list @t2 @t5 @t3 @t1 @t4 @t102)) % 1.63/1.92 (define @t259 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t137)) % 1.63/1.92 (define @t260 () (tptp.hAPP @t137 @t16)) % 1.63/1.92 (define @t261 () (tptp.hBOOL @t260)) % 1.63/1.92 (define @t262 () (@list @t83 @t20)) % 1.63/1.92 (define @t263 () (tptp.hAPP @t244 @t31)) % 1.63/1.92 (define @t264 () (@list @t20 @t31)) % 1.63/1.92 (define @t265 () (tptp.c_lessequals @t83 @t55 tptp.tc_nat)) % 1.63/1.92 (define @t266 () (tptp.c_lessequals @t175 @t48 tptp.tc_nat)) % 1.63/1.92 (define @t267 () (@list @t83 @t49 @t48)) % 1.63/1.92 (define @t268 () (@list @t83 @t48 @t49)) % 1.63/1.92 (define @t269 () (tptp.c_lessequals @t29 @t28 @t2)) % 1.63/1.92 (define @t270 () (not @t269)) % 1.63/1.92 (define @t271 () (tptp.c_lessequals @t40 @t28 @t2)) % 1.63/1.92 (define @t272 () (tptp.c_lessequals @t29 @t31 @t2)) % 1.63/1.92 (define @t273 () (not @t272)) % 1.63/1.92 (define @t274 () (tptp.c_lessequals @t28 @t31 @t2)) % 1.63/1.92 (define @t275 () (not @t274)) % 1.63/1.92 (define @t276 () (tptp.c_Orderings_Oord__class_Omax @t29 @t28 @t2)) % 1.63/1.92 (define @t277 () (@list @t2 @t29 @t28 @t31)) % 1.63/1.92 (define @t278 () (tptp.c_lessequals @t5 @t31 @t2)) % 1.63/1.92 (define @t279 () (not @t278)) % 1.63/1.92 (define @t280 () (tptp.c_lessequals @t4 @t31 @t2)) % 1.63/1.92 (define @t281 () (not @t280)) % 1.63/1.92 (define @t282 () (tptp.c_Orderings_Oord__class_Omax @t5 @t4 @t2)) % 1.63/1.92 (define @t283 () (tptp.c_lessequals @t282 @t31 @t2)) % 1.63/1.92 (define @t284 () (@list @t2 @t5 @t4 @t31)) % 1.63/1.92 (define @t285 () (@list @t2 @t29 @t31)) % 1.63/1.92 (define @t286 () (@list @t2 @t31)) % 1.63/1.92 (define @t287 () (tptp.hAPP @t89 @t157)) % 1.63/1.92 (define @t288 () (tptp.c_Suc @t157)) % 1.63/1.92 (define @t289 () (@list @t90 @t89 @t157 @t2)) % 1.63/1.92 (define @t290 () (@var "V_r1" $$unsorted)) % 1.63/1.92 (define @t291 () (@var "V_r0" $$unsorted)) % 1.63/1.92 (define @t292 () (@var "V_pwr" $$unsorted)) % 1.63/1.92 (define @t293 () (@var "V_mul" $$unsorted)) % 1.63/1.92 (define @t294 () (@var "V_add" $$unsorted)) % 1.63/1.92 (define @t295 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t294 @t293 @t292 @t291 @t290 @t2))) % 1.63/1.92 (define @t296 () (tptp.hAPP @t292 @t31)) % 1.63/1.92 (define @t297 () (tptp.hAPP @t296 @t149)) % 1.63/1.92 (define @t298 () (tptp.c_Orderings_Oord__class_Omin @t29 @t31 @t2)) % 1.63/1.92 (define @t299 () (tptp.c_Orderings_Oord__class_Omin @t31 @t28 @t2)) % 1.63/1.92 (define @t300 () (tptp.c_Orderings_Oord__class_Omax @t33 @t299 @t2)) % 1.63/1.92 (define @t301 () (tptp.c_Orderings_Oord__class_Omin @t31 @t276 @t2)) % 1.63/1.92 (define @t302 () (tptp.c_lessequals @t4 @t64 @t2)) % 1.63/1.92 (define @t303 () (tptp.c_lessequals @t4 @t5 @t2)) % 1.63/1.92 (define @t304 () (not @t303)) % 1.63/1.92 (define @t305 () (tptp.v_sko__List__Xupt__Xinduct__1 @t137)) % 1.63/1.92 (define @t306 () (@var "V_nat_H" $$unsorted)) % 1.63/1.92 (define @t307 () (= @t157 @t306)) % 1.63/1.92 (define @t308 () (tptp.c_Type_Otype_OAtom @t157)) % 1.63/1.92 (define @t309 () (@list @t157 @t306)) % 1.63/1.92 (define @t310 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t137)) % 1.63/1.92 (define @t311 () (tptp.c_HOL_Oord__class_Oless @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t312 () (not @t311)) % 1.63/1.92 (define @t313 () (tptp.c_lessequals @t112 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t314 () (not @t313)) % 1.63/1.92 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t16 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t316 () (tptp.c_lessequals @t111 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t317 () (not @t316)) % 1.63/1.92 (define @t318 () (tptp.c_HOL_Oord__class_Oless @t31 @t29 tptp.tc_nat)) % 1.63/1.92 (define @t319 () (not @t318)) % 1.63/1.92 (define @t320 () (tptp.hAPP @t51 @t29)) % 1.63/1.92 (define @t321 () (tptp.hAPP @t320 @t28)) % 1.63/1.92 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t31 @t321 tptp.tc_nat)) % 1.63/1.92 (define @t323 () (tptp.hAPP @t174 @t48)) % 1.63/1.92 (define @t324 () (tptp.c_HOL_Oord__class_Oless @t83 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t325 () (not (tptp.c_HOL_Oord__class_Oless @t83 @t48 tptp.tc_nat))) % 1.63/1.92 (define @t326 () (tptp.hAPP @t172 @t20)) % 1.63/1.92 (define @t327 () (@list @t83 @t48 @t20)) % 1.63/1.92 (define @t328 () (tptp.hAPP @t244 @t48)) % 1.63/1.92 (define @t329 () (@list @t83 @t20 @t48)) % 1.63/1.92 (define @t330 () (tptp.c_lessequals @t1 @t250 @t2)) % 1.63/1.92 (define @t331 () (tptp.c_lessequals @t11 @t249 @t2)) % 1.63/1.92 (define @t332 () (not (tptp.class_Ring__and__Field_Opordered__ring @t2))) % 1.63/1.92 (define @t333 () (not @t331)) % 1.63/1.92 (define @t334 () (@list @t2 @t1 @t4 @t5 @t3 @t102)) % 1.63/1.92 (define @t335 () (tptp.c_lessequals @t8 @t102 @t2)) % 1.63/1.92 (define @t336 () (@list @t2 @t5 @t4 @t3 @t1 @t102)) % 1.63/1.92 (define @t337 () (tptp.c_lessequals @t16 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t338 () (not @t337)) % 1.63/1.92 (define @t339 () (tptp.c_HOL_Ominus__class_Ominus @t112 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t340 () (tptp.c_Lambda_Olift @t84 @t49)) % 1.63/1.92 (define @t341 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t80)) % 1.63/1.92 (define @t342 () (tptp.hAPP @t341 @t84)) % 1.63/1.92 (define @t343 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t31 @t2)) % 1.63/1.92 (define @t344 () (tptp.hAPP (tptp.hAPP @t7 @t343) (tptp.c_HOL_Otimes__class_Otimes @t29 @t29 @t2))) % 1.63/1.92 (define @t345 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t2))) % 1.63/1.92 (define @t346 () (tptp.hAPP @t7 @t1)) % 1.63/1.92 (define @t347 () (tptp.hAPP @t346 @t5)) % 1.63/1.92 (define @t348 () (tptp.hAPP @t180 @t5)) % 1.63/1.92 (define @t349 () (tptp.hAPP @t71 @t20)) % 1.63/1.92 (define @t350 () (not (tptp.c_HOL_Oord__class_Oless @t49 @t170 tptp.tc_nat))) % 1.63/1.92 (define @t351 () (tptp.hAPP @t52 @t16)) % 1.63/1.92 (define @t352 () (tptp.hAPP @t7 @t29)) % 1.63/1.92 (define @t353 () (tptp.hAPP @t7 @t31)) % 1.63/1.92 (define @t354 () (tptp.hAPP @t353 @t29)) % 1.63/1.92 (define @t355 () (= @t20 @t74)) % 1.63/1.92 (define @t356 () (not (= @t47 @t74))) % 1.63/1.92 (define @t357 () (= @t16 @t74)) % 1.63/1.92 (define @t358 () (@var "V_zs" $$unsorted)) % 1.63/1.92 (define @t359 () (tptp.c_HOL_Ominus__class_Ominus @t170 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t360 () (tptp.c_HOL_Ominus__class_Ominus @t170 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t361 () (@list @t170 @t16 @t20)) % 1.63/1.92 (define @t362 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t137)) % 1.63/1.92 (define @t363 () (@list @t137 @t16)) % 1.63/1.92 (define @t364 () (tptp.c_HOL_Oord__class_Oless @t23 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t365 () (not @t364)) % 1.63/1.92 (define @t366 () (@list @t49 @t16 @t20)) % 1.63/1.92 (define @t367 () (= @t119 @t23)) % 1.63/1.92 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t1 @t2)) % 1.63/1.92 (define @t369 () (tptp.c_HOL_Oord__class_Oless @t239 @t368 @t2)) % 1.63/1.92 (define @t370 () (not @t369)) % 1.63/1.92 (define @t371 () (@list @t2 @t5 @t4 @t1)) % 1.63/1.92 (define @t372 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t4 @t2)) % 1.63/1.92 (define @t373 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t5 @t2)) % 1.63/1.92 (define @t374 () (tptp.c_HOL_Oord__class_Oless @t373 @t372 @t2)) % 1.63/1.92 (define @t375 () (not @t374)) % 1.63/1.92 (define @t376 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t2))) % 1.63/1.92 (define @t377 () (tptp.c_lessequals @t28 @t40 @t2)) % 1.63/1.92 (define @t378 () (tptp.c_lessequals @t28 @t29 @t2)) % 1.63/1.92 (define @t379 () (@list @t2 @t28 @t29 @t31)) % 1.63/1.92 (define @t380 () (tptp.hAPP (tptp.hAPP @t51 @t149) @t148)) % 1.63/1.92 (define @t381 () (not @t261)) % 1.63/1.92 (define @t382 () (tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 @t137 @t16)) % 1.63/1.92 (define @t383 () (tptp.hAPP @t296 @t148)) % 1.63/1.92 (define @t384 () (tptp.c_Lambda_Oliftn @t16 @t84 @t49)) % 1.63/1.92 (define @t385 () (not @t223)) % 1.63/1.92 (define @t386 () (tptp.c_lessequals @t33 @t28 @t2)) % 1.63/1.92 (define @t387 () (tptp.c_lessequals @t228 @t31 @t2)) % 1.63/1.92 (define @t388 () (not @t229)) % 1.63/1.92 (define @t389 () (= @t4 @t13)) % 1.63/1.92 (define @t390 () (tptp.c_Divides_Odiv__class_Odiv @t5 @t4 @t2)) % 1.63/1.92 (define @t391 () (tptp.hAPP @t346 @t390)) % 1.63/1.92 (define @t392 () (not (tptp.class_Divides_Osemiring__div @t2))) % 1.63/1.92 (define @t393 () (@list @t2 @t5 @t1 @t4)) % 1.63/1.92 (define @t394 () (= @t119 (tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv @t24 @t16 tptp.tc_nat)))) % 1.63/1.92 (define @t395 () (= @t29 @t13)) % 1.63/1.92 (define @t396 () (not (tptp.c_lessequals @t13 @t31 @t2))) % 1.63/1.92 (define @t397 () (not (tptp.c_lessequals @t13 @t29 @t2))) % 1.63/1.92 (define @t398 () (not (= @t354 @t13))) % 1.63/1.92 (define @t399 () (= @t31 @t13)) % 1.63/1.92 (define @t400 () (= @t31 @t29)) % 1.63/1.92 (define @t401 () (@list @t31 @t29)) % 1.63/1.92 (define @t402 () (tptp.c_Suc @t306)) % 1.63/1.92 (define @t403 () (tptp.c_HOL_Oord__class_Oless @t1 @t250 @t2)) % 1.63/1.92 (define @t404 () (tptp.c_HOL_Oord__class_Oless @t11 @t249 @t2)) % 1.63/1.92 (define @t405 () (not @t404)) % 1.63/1.92 (define @t406 () (tptp.c_HOL_Oord__class_Oless @t8 @t102 @t2)) % 1.63/1.92 (define @t407 () (not (= @t129 @t127))) % 1.63/1.92 (define @t408 () (tptp.hAPP @t352 @t28)) % 1.63/1.92 (define @t409 () (tptp.hAPP @t353 @t408)) % 1.63/1.92 (define @t410 () (tptp.hAPP @t353 @t28)) % 1.63/1.92 (define @t411 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 1.63/1.92 (define @t412 () (tptp.hAPP @t51 @t31)) % 1.63/1.92 (define @t413 () (tptp.hAPP @t412 @t28)) % 1.63/1.92 (define @t414 () (tptp.hAPP @t180 @t1)) % 1.63/1.92 (define @t415 () (tptp.hAPP @t63 @t414)) % 1.63/1.92 (define @t416 () (tptp.hAPP @t7 @t204)) % 1.63/1.92 (define @t417 () (tptp.hAPP @t416 @t1)) % 1.63/1.92 (define @t418 () (= @t417 @t415)) % 1.63/1.92 (define @t419 () (tptp.hAPP @t7 @t64)) % 1.63/1.92 (define @t420 () (tptp.hAPP @t346 @t102)) % 1.63/1.92 (define @t421 () (tptp.hAPP @t63 @t420)) % 1.63/1.92 (define @t422 () (@list @t2 @t5 @t1 @t102)) % 1.63/1.92 (define @t423 () (tptp.c_HOL_Oord__class_Oless @t23 @t245 tptp.tc_nat)) % 1.63/1.92 (define @t424 () (tptp.c_Power_Opower__class_Opower @t5 @t20 @t2)) % 1.63/1.92 (define @t425 () (@list @t2 @t5 @t20 @t16)) % 1.63/1.92 (define @t426 () (tptp.c_lessequals @t74 @t47 tptp.tc_nat)) % 1.63/1.92 (define @t427 () (not @t426)) % 1.63/1.92 (define @t428 () (tptp.c_lessequals @t74 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t429 () (tptp.c_lessequals @t74 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t430 () (tptp.hAPP @t244 @t49)) % 1.63/1.92 (define @t431 () (not (tptp.c_lessequals @t430 @t16 tptp.tc_nat))) % 1.63/1.92 (define @t432 () (tptp.c_lessequals @t49 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t433 () (tptp.c_lessequals @t31 @t321 tptp.tc_nat)) % 1.63/1.92 (define @t434 () (tptp.c_lessequals @t31 @t29 tptp.tc_nat)) % 1.63/1.92 (define @t435 () (= @t33 @t31)) % 1.63/1.92 (define @t436 () (tptp.c_HOL_Oord__class_Oless @t31 @t31 @t2)) % 1.63/1.92 (define @t437 () (not @t436)) % 1.63/1.92 (define @t438 () (tptp.c_lessequals @t31 @t31 @t2)) % 1.63/1.92 (define @t439 () (tptp.c_Lambda_OdB_OVar @t31)) % 1.63/1.92 (define @t440 () (tptp.c_HOL_Oord__class_Oless @t31 @t31 tptp.tc_nat)) % 1.63/1.92 (define @t441 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t137)) % 1.63/1.92 (define @t442 () (tptp.hBOOL (tptp.hAPP @t137 @t212))) % 1.63/1.92 (define @t443 () (tptp.c_Orderings_Oord__class_Omin @t31 @t222 @t2)) % 1.63/1.92 (define @t444 () (tptp.hAPP @t51 @t23)) % 1.63/1.92 (define @t445 () (tptp.hAPP @t444 @t74)) % 1.63/1.92 (define @t446 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t1 @t2))) % 1.63/1.92 (define @t447 () (not (tptp.c_lessequals @t49 @t20 tptp.tc_nat))) % 1.63/1.92 (define @t448 () (not @t432)) % 1.63/1.92 (define @t449 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t450 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t451 () (tptp.c_lessequals @t450 @t449 tptp.tc_nat)) % 1.63/1.92 (define @t452 () (tptp.hAPP @t172 @t49)) % 1.63/1.92 (define @t453 () (tptp.c_HOL_Ominus__class_Ominus @t133 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t454 () (tptp.c_Power_Opower__class_Opower @t4 @t16 @t2)) % 1.63/1.92 (define @t455 () (@list @t2 @t5 @t16 @t4)) % 1.63/1.92 (define @t456 () (@var "V_xa" $$unsorted)) % 1.63/1.92 (define @t457 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t31 @t2)) % 1.63/1.92 (define @t458 () (@var "V_y_H" $$unsorted)) % 1.63/1.92 (define @t459 () (@var "V_x_H" $$unsorted)) % 1.63/1.92 (define @t460 () (tptp.c_HOL_Ominus__class_Ominus @t459 @t458 @t2)) % 1.63/1.92 (define @t461 () (not (= @t145 @t144))) % 1.63/1.92 (define @t462 () (not (= @t74 @t245))) % 1.63/1.92 (define @t463 () (= @t20 @t23)) % 1.63/1.92 (define @t464 () (tptp.c_HOL_Oord__class_Oless @t141 @t140 tptp.tc_nat)) % 1.63/1.92 (define @t465 () (not @t464)) % 1.63/1.92 (define @t466 () (tptp.c_HOL_Oord__class_Oless @t145 @t144 tptp.tc_nat)) % 1.63/1.92 (define @t467 () (not @t466)) % 1.63/1.92 (define @t468 () (not @t146)) % 1.63/1.92 (define @t469 () (tptp.c_HOL_Oord__class_Oless @t1 @t13 @t2)) % 1.63/1.92 (define @t470 () (not @t469)) % 1.63/1.92 (define @t471 () (tptp.c_lessequals @t373 @t372 @t2)) % 1.63/1.92 (define @t472 () (not @t471)) % 1.63/1.92 (define @t473 () (@list @t2 @t1 @t5 @t4)) % 1.63/1.92 (define @t474 () (tptp.c_HOL_Oord__class_Oless @t13 @t1 @t2)) % 1.63/1.92 (define @t475 () (not @t474)) % 1.63/1.92 (define @t476 () (tptp.c_lessequals @t239 @t368 @t2)) % 1.63/1.92 (define @t477 () (not (tptp.c_HOL_Oord__class_Oless @t74 @t16 tptp.tc_nat))) % 1.63/1.92 (define @t478 () (not (tptp.c_HOL_Oord__class_Oless @t74 @t20 tptp.tc_nat))) % 1.63/1.92 (define @t479 () (@list @t198 @t197)) % 1.63/1.92 (define @t480 () (tptp.c_HOL_Oord__class_Oless @t31 @t282 @t2)) % 1.63/1.92 (define @t481 () (tptp.c_HOL_Oord__class_Oless @t28 @t40 @t2)) % 1.63/1.92 (define @t482 () (not @t41)) % 1.63/1.92 (define @t483 () (tptp.c_Lambda_OdB_OAbs @t81)) % 1.63/1.92 (define @t484 () (@var "V_ss" $$unsorted)) % 1.63/1.92 (define @t485 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.63/1.92 (define @t486 () (@list @t81 @t80 @t484)) % 1.63/1.92 (define @t487 () (tptp.c_HOL_Oord__class_Oless @t23 @t47 tptp.tc_nat)) % 1.63/1.92 (define @t488 () (not @t487)) % 1.63/1.92 (define @t489 () (tptp.c_HOL_Oord__class_Oless @t5 @t13 @t2)) % 1.63/1.92 (define @t490 () (not @t489)) % 1.63/1.92 (define @t491 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t13 @t2))) % 1.63/1.92 (define @t492 () (tptp.c_HOL_Oord__class_Oless @t204 @t13 @t2)) % 1.63/1.92 (define @t493 () (tptp.c_HOL_Oord__class_Oless @t17 @t454 @t2)) % 1.63/1.92 (define @t494 () (not (tptp.c_lessequals @t344 @t13 @t2))) % 1.63/1.92 (define @t495 () (tptp.hAPP @t89 @t456)) % 1.63/1.92 (define @t496 () (@list @t137 @t90 @t89 @t157)) % 1.63/1.92 (define @t497 () (tptp.c_HOL_Oord__class_Oless @t228 @t31 @t2)) % 1.63/1.92 (define @t498 () (not @t96)) % 1.63/1.92 (define @t499 () (tptp.c_HOL_Oord__class_Oless @t115 @t13 @t2)) % 1.63/1.92 (define @t500 () (not @t499)) % 1.63/1.92 (define @t501 () (not (tptp.class_Ring__and__Field_Oordered__idom @t2))) % 1.63/1.92 (define @t502 () (@list @t2 @t4 @t5)) % 1.63/1.92 (define @t503 () (tptp.c_HOL_Oord__class_Oless @t13 @t196 @t2)) % 1.63/1.92 (define @t504 () (@list @t2 @t5 @t4 @t16)) % 1.63/1.92 (define @t505 () (not (tptp.class_OrderedGroup_Omonoid__add @t2))) % 1.63/1.92 (define @t506 () (not @t271)) % 1.63/1.92 (define @t507 () (not @t378)) % 1.63/1.92 (define @t508 () (tptp.c_lessequals @t31 @t282 @t2)) % 1.63/1.92 (define @t509 () (not @t283)) % 1.63/1.92 (define @t510 () (tptp.c_lessequals @t55 @t83 tptp.tc_nat)) % 1.63/1.92 (define @t511 () (tptp.c_lessequals @t48 @t175 tptp.tc_nat)) % 1.63/1.92 (define @t512 () (@list @t48 @t83 @t49)) % 1.63/1.92 (define @t513 () (@list @t48 @t49 @t83)) % 1.63/1.92 (define @t514 () (tptp.hBOOL (tptp.hAPP @t137 @t83))) % 1.63/1.92 (define @t515 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t83 tptp.tc_nat)) % 1.63/1.92 (define @t516 () (= @t49 @t23)) % 1.63/1.92 (define @t517 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t49 tptp.tc_nat))) % 1.63/1.92 (define @t518 () (not (tptp.c_InductTermi_OIT @t84))) % 1.63/1.92 (define @t519 () (tptp.c_Lambda_Olift @t84 @t83)) % 1.63/1.92 (define @t520 () (@list @t84 @t83)) % 1.63/1.92 (define @t521 () (@var "V_ts" $$unsorted)) % 1.63/1.92 (define @t522 () (tptp.c_Lambda_OdB_OVar @t16)) % 1.63/1.92 (define @t523 () (@var "V_dB_H" $$unsorted)) % 1.63/1.92 (define @t524 () (tptp.c_Lambda_OdB_OAbs @t523)) % 1.63/1.92 (define @t525 () (tptp.c_lessequals @t129 @t127 tptp.tc_nat)) % 1.63/1.92 (define @t526 () (not @t525)) % 1.63/1.92 (define @t527 () (tptp.c_lessequals @t134 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t528 () (tptp.c_lessequals @t20 @t125 tptp.tc_nat)) % 1.63/1.92 (define @t529 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t2))) % 1.63/1.92 (define @t530 () (tptp.c_HOL_Oord__class_Oless @t33 @t28 @t2)) % 1.63/1.92 (define @t531 () (@var "V_w" $$unsorted)) % 1.63/1.92 (define @t532 () (= @t531 @t31)) % 1.63/1.92 (define @t533 () (= @t29 @t28)) % 1.63/1.92 (define @t534 () (= @t5 @t4)) % 1.63/1.92 (define @t535 () (= @t1 @t102)) % 1.63/1.92 (define @t536 () (tptp.hAPP @t7 @t239)) % 1.63/1.92 (define @t537 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t1 tptp.tc_nat)) % 1.63/1.92 (define @t538 () (tptp.c_lessequals @t5 @t13 @t2)) % 1.63/1.92 (define @t539 () (not @t538)) % 1.63/1.92 (define @t540 () (tptp.c_lessequals @t4 @t13 @t2)) % 1.63/1.92 (define @t541 () (not @t540)) % 1.63/1.92 (define @t542 () (tptp.c_HOL_Oord__class_Oless @t16 @t112 tptp.tc_nat)) % 1.63/1.92 (define @t543 () (not @t542)) % 1.63/1.92 (define @t544 () (= @t16 @t20)) % 1.63/1.92 (define @t545 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t13 @t2)) % 1.63/1.92 (define @t546 () (tptp.hAPP (tptp.hAPP @t7 @t545) @t545)) % 1.63/1.92 (define @t547 () (tptp.hAPP @t174 @t55)) % 1.63/1.92 (define @t548 () (tptp.c_HOL_Ominus__class_Ominus @t323 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t549 () (tptp.hAPP (tptp.hAPP @t51 @t55) @t83)) % 1.63/1.92 (define @t550 () (tptp.hAPP @t172 @t83)) % 1.63/1.92 (define @t551 () (tptp.c_HOL_Ominus__class_Ominus @t550 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t552 () (@var "V_ry" $$unsorted)) % 1.63/1.92 (define @t553 () (@var "V_ly" $$unsorted)) % 1.63/1.92 (define @t554 () (@var "V_rx" $$unsorted)) % 1.63/1.92 (define @t555 () (@var "V_lx" $$unsorted)) % 1.63/1.92 (define @t556 () (tptp.c_HOL_Otimes__class_Otimes @t555 @t554 @t2)) % 1.63/1.92 (define @t557 () (tptp.c_HOL_Otimes__class_Otimes @t554 @t552 @t2)) % 1.63/1.92 (define @t558 () (tptp.c_HOL_Otimes__class_Otimes @t555 @t553 @t2)) % 1.63/1.92 (define @t559 () (tptp.c_HOL_Otimes__class_Otimes @t558 @t557 @t2)) % 1.63/1.92 (define @t560 () (@list @t2 @t555 @t553 @t554 @t552)) % 1.63/1.92 (define @t561 () (tptp.c_Lambda_OdB_OVar @t20)) % 1.63/1.92 (define @t562 () (tptp.hAPP @t90 @t157)) % 1.63/1.92 (define @t563 () (tptp.hAPP @t52 @t83)) % 1.63/1.92 (define @t564 () (@list @t83 @t49)) % 1.63/1.92 (define @t565 () (tptp.c_Lambda_Oliftn @t16 @t121 @t49)) % 1.63/1.92 (define @t566 () (@list @t16 @t83 @t49)) % 1.63/1.92 (define @t567 () (tptp.c_Lambda_OdB_OAbs @t80)) % 1.63/1.92 (define @t568 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t567) @t84)) % 1.63/1.92 (define @t569 () (@list @t80 @t84)) % 1.63/1.92 (define @t570 () (tptp.c_HOL_Oord__class_Oless @t13 @t204 @t2)) % 1.63/1.92 (define @t571 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t572 () (tptp.c_lessequals @t6 @t13 @t2)) % 1.63/1.92 (define @t573 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t4 tptp.tc_nat))) % 1.63/1.92 (define @t574 () (tptp.c_lessequals @t196 @t13 @t2)) % 1.63/1.92 (define @t575 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t2))) % 1.63/1.92 (define @t576 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t5 @t2)) % 1.63/1.92 (define @t577 () (tptp.c_Suc @t49)) % 1.63/1.92 (define @t578 () (tptp.c_HOL_Otimes__class_Otimes @t577 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t579 () (tptp.c_HOL_Otimes__class_Otimes @t577 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t580 () (tptp.c_HOL_Oord__class_Oless @t579 @t578 tptp.tc_nat)) % 1.63/1.92 (define @t581 () (tptp.c_HOL_Oord__class_Oless @t112 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t582 () (= @t4 @t1)) % 1.63/1.92 (define @t583 () (not (= @t204 @t64))) % 1.63/1.92 (define @t584 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t2))) % 1.63/1.92 (define @t585 () (tptp.hAPP @t293 @t383)) % 1.63/1.92 (define @t586 () (tptp.hAPP @t293 @t31)) % 1.63/1.92 (define @t587 () (tptp.hAPP @t586 @t29)) % 1.63/1.92 (define @t588 () (tptp.hAPP @t294 @t29)) % 1.63/1.92 (define @t589 () (tptp.hAPP @t588 @t28)) % 1.63/1.92 (define @t590 () (tptp.hAPP @t293 @t29)) % 1.63/1.92 (define @t591 () (tptp.hAPP @t293 @t290)) % 1.63/1.92 (define @t592 () (tptp.hAPP @t293 @t291)) % 1.63/1.92 (define @t593 () (tptp.hAPP @t294 @t31)) % 1.63/1.92 (define @t594 () (tptp.hAPP @t593 @t29)) % 1.63/1.92 (define @t595 () (tptp.hAPP @t294 @t291)) % 1.63/1.92 (define @t596 () (tptp.hAPP @t294 @t5)) % 1.63/1.92 (define @t597 () (tptp.hAPP @t596 @t1)) % 1.63/1.92 (define @t598 () (tptp.hAPP @t294 @t597)) % 1.63/1.92 (define @t599 () (tptp.hAPP @t294 @t1)) % 1.63/1.92 (define @t600 () (tptp.hAPP @t599 @t102)) % 1.63/1.92 (define @t601 () (tptp.hAPP @t596 @t600)) % 1.63/1.92 (define @t602 () (@list @t294 @t5 @t1 @t102 @t293 @t292 @t291 @t290 @t2)) % 1.63/1.92 (define @t603 () (tptp.hAPP @t596 @t4)) % 1.63/1.92 (define @t604 () (tptp.hAPP @t294 @t603)) % 1.63/1.92 (define @t605 () (tptp.hAPP @t604 @t1)) % 1.63/1.92 (define @t606 () (@list @t294 @t5 @t4 @t1 @t293 @t292 @t291 @t290 @t2)) % 1.63/1.92 (define @t607 () (tptp.hAPP @t294 @t4)) % 1.63/1.92 (define @t608 () (tptp.hAPP @t293 @t555)) % 1.63/1.92 (define @t609 () (tptp.hAPP @t293 @t554)) % 1.63/1.92 (define @t610 () (tptp.hAPP @t609 @t552)) % 1.63/1.92 (define @t611 () (tptp.hAPP @t608 @t610)) % 1.63/1.92 (define @t612 () (@list @t293 @t555 @t554 @t552 @t294 @t292 @t291 @t290 @t2)) % 1.63/1.92 (define @t613 () (tptp.hAPP @t293 (tptp.hAPP @t608 @t554))) % 1.63/1.92 (define @t614 () (tptp.hAPP @t293 @t553)) % 1.63/1.92 (define @t615 () (tptp.hAPP @t293 (tptp.hAPP @t608 @t553))) % 1.63/1.92 (define @t616 () (tptp.hAPP @t615 @t554)) % 1.63/1.92 (define @t617 () (@list @t293 @t555 @t553 @t554 @t294 @t292 @t291 @t290 @t2)) % 1.63/1.92 (define @t618 () (tptp.hAPP @t615 @t610)) % 1.63/1.92 (define @t619 () (@list @t293 @t555 @t553 @t554 @t552 @t294 @t292 @t291 @t290 @t2)) % 1.63/1.92 (define @t620 () (tptp.hAPP @t293 @t5)) % 1.63/1.92 (define @t621 () (tptp.hAPP @t293 @t4)) % 1.63/1.92 (define @t622 () (tptp.hAPP @t293 @t603)) % 1.63/1.92 (define @t623 () (tptp.hAPP @t294 @t20)) % 1.63/1.92 (define @t624 () (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP @t596 @t290)) @t20)) % 1.63/1.92 (define @t625 () (tptp.hAPP @t620 @t20)) % 1.63/1.92 (define @t626 () (tptp.hAPP @t294 @t625)) % 1.63/1.92 (define @t627 () (@var "V_xc" $$unsorted)) % 1.63/1.92 (define @t628 () (tptp.hBOOL (tptp.hAPP @t137 @t562))) % 1.63/1.92 (define @t629 () (= @t81 @t80)) % 1.63/1.92 (define @t630 () (not (= @t245 @t74))) % 1.63/1.92 (define @t631 () (tptp.c_lessequals @t579 @t578 tptp.tc_nat)) % 1.63/1.92 (define @t632 () (tptp.c_HOL_Oord__class_Oless @t13 @t344 @t2)) % 1.63/1.92 (define @t633 () (not (tptp.c_InductTermi_OIT @t81))) % 1.63/1.92 (define @t634 () (not (tptp.c_Lambda_Obeta @t80 @t84))) % 1.63/1.92 (define @t635 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t123)) % 1.63/1.92 (define @t636 () (@list @t85)) % 1.63/1.92 (define @t637 () (@list @t2 @t20)) % 1.63/1.92 (define @t638 () (tptp.c_Orderings_Oord__class_Omax @t29 @t31 @t2)) % 1.63/1.92 (define @t639 () (not @t324)) % 1.63/1.92 (define @t640 () (@list @t157)) % 1.63/1.92 (define @t641 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t642 () (@list @t20)) % 1.63/1.92 (define @t643 () (tptp.c_HOL_Oord__class_Oless @t4 @t5 @t2)) % 1.63/1.92 (define @t644 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t83 tptp.tc_nat)) % 1.63/1.92 (define @t645 () (@list @t16 @t83)) % 1.63/1.92 (define @t646 () (@var "V_dB2_H" $$unsorted)) % 1.63/1.92 (define @t647 () (@var "V_dB1_H" $$unsorted)) % 1.63/1.92 (define @t648 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t647) @t646)) % 1.63/1.92 (define @t649 () (not (= @t200 @t648))) % 1.63/1.92 (define @t650 () (@list @t198 @t197 @t647 @t646)) % 1.63/1.92 (define @t651 () (tptp.c_HOL_Oord__class_Oless @t64 @t181 @t2)) % 1.63/1.92 (define @t652 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t2))) % 1.63/1.92 (define @t653 () (@var "V_rs" $$unsorted)) % 1.63/1.92 (define @t654 () (= @t653 @t484)) % 1.63/1.92 (define @t655 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t483 @t653 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t567 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.63/1.92 (define @t656 () (@list @t81 @t653 @t80 @t484)) % 1.63/1.92 (define @t657 () (tptp.c_HOL_Oord__class_Oless @t6 @t13 @t2)) % 1.63/1.92 (define @t658 () (tptp.c_HOL_Oord__class_Oless @t77 @t76 @t2)) % 1.63/1.92 (define @t659 () (tptp.c_Suc @t83)) % 1.63/1.92 (define @t660 () (tptp.c_lessequals @t64 @t414 @t2)) % 1.63/1.92 (define @t661 () (tptp.hAPP @t346 @t4)) % 1.63/1.92 (define @t662 () (tptp.c_lessequals @t347 @t661 @t2)) % 1.63/1.92 (define @t663 () (tptp.c_lessequals @t53 @t351 tptp.tc_nat)) % 1.63/1.92 (define @t664 () (@list @t83 @t48)) % 1.63/1.92 (define @t665 () (= (tptp.hAPP @t71 @t24) @t20)) % 1.63/1.92 (define @t666 () (tptp.hAPP @t296 @t167)) % 1.63/1.92 (define @t667 () (tptp.hAPP @t586 @t383)) % 1.63/1.92 (define @t668 () (@var "V_xs" $$unsorted)) % 1.63/1.92 (define @t669 () (tptp.c_Power_Opower__class_Opower @t4 @t111 @t2)) % 1.63/1.92 (define @t670 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t2))) % 1.63/1.92 (define @t671 () (tptp.c_HOL_Oord__class_Oless @t13 @t76 @t2)) % 1.63/1.92 (define @t672 () (= (tptp.c_Divides_Odiv__class_Odiv @t145 @t144 tptp.tc_nat) @t119)) % 1.63/1.92 (define @t673 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t4 @t2)) % 1.63/1.92 (define @t674 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t5 @t2)) % 1.63/1.92 (define @t675 () (tptp.c_HOL_Otimes__class_Otimes @t23 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t676 () (tptp.c_HOL_Otimes__class_Otimes @t23 @t20 tptp.tc_nat)) % 1.63/1.92 (define @t677 () (not @t574)) % 1.63/1.92 (define @t678 () (tptp.c_HOL_Oord__class_Oless @t196 @t13 @t2)) % 1.63/1.92 (define @t679 () (tptp.c_lessequals @t20 @t111 tptp.tc_nat)) % 1.63/1.92 (define @t680 () (tptp.c_HOL_Oord__class_Oless @t450 @t449 tptp.tc_nat)) % 1.63/1.92 (define @t681 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t83 tptp.tc_nat))) % 1.63/1.92 (define @t682 () (tptp.c_Lambda_OdB_OVar @t48)) % 1.63/1.92 (define @t683 () (tptp.c_lessequals @t115 @t13 @t2)) % 1.63/1.92 (define @t684 () (not (tptp.c_lessequals @t1 @t13 @t2))) % 1.63/1.92 (define @t685 () (not (tptp.class_Ring__and__Field_Omult__mono @t2))) % 1.63/1.92 (define @t686 () (not (= @t344 @t13))) % 1.63/1.92 (define @t687 () (tptp.c_HOL_Oord__class_Oless @t83 @t55 tptp.tc_nat)) % 1.63/1.92 (define @t688 () (tptp.c_HOL_Oord__class_Oless @t175 @t48 tptp.tc_nat)) % 1.63/1.92 (define @t689 () (tptp.c_HOL_Oord__class_Oless @t64 @t414 @t2)) % 1.63/1.92 (define @t690 () (tptp.c_HOL_Oord__class_Oless @t347 @t661 @t2)) % 1.63/1.92 (define @t691 () (tptp.c_HOL_Oord__class_Oless @t53 @t351 tptp.tc_nat)) % 1.63/1.92 (define @t692 () (tptp.c_Orderings_Oord__class_Omin @t20 @t16 tptp.tc_nat)) % 1.63/1.92 (define @t693 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t48 tptp.tc_nat)) % 1.63/1.92 (define @t694 () (@list @t49 @t83 @t48)) % 1.63/1.92 (define @t695 () (tptp.c_HOL_Otimes__class_Otimes @t48 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t696 () (tptp.c_HOL_Otimes__class_Otimes @t83 @t49 tptp.tc_nat)) % 1.63/1.92 (define @t697 () (not @t643)) % 1.63/1.92 (define @t698 () (= @t1 @t13)) % 1.63/1.92 (define @t699 () (tptp.c_lessequals @t239 @t238 @t2)) % 1.63/1.92 (define @t700 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t2))) % 1.63/1.92 (define @t701 () (tptp.c_Orderings_Oord__class_Omax @t31 @t276 @t2)) % 1.63/1.92 (define @t702 () (tptp.c_Orderings_Oord__class_Omax @t31 @t28 @t2)) % 1.63/1.92 (define @t703 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t522 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.63/1.92 (define @t704 () (tptp.c_Lambda_OdB_OAbs @t84)) % 1.63/1.92 (define @t705 () (tptp.c_lessequals @t13 @t196 @t2)) % 1.63/1.92 (define @t706 () (not @t705)) % 1.63/1.92 (define @t707 () (tptp.c_HOL_Oord__class_Oless @t112 @t111 tptp.tc_nat)) % 1.63/1.92 (define @t708 () (tptp.c_HOL_Oord__class_Oless @t13 @t115 @t2)) % 1.63/1.92 (define @t709 () (not (tptp.c_Type_Otyping @t3 @t704 @t212))) % 1.63/1.92 (define @t710 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t212 @t3 @t84)) % 1.63/1.92 (define @t711 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t212 @t3 @t84)) % 1.63/1.92 (define @t712 () (= @t5 @t13)) % 1.63/1.92 (define @t713 () (not (= @t17 @t13))) % 1.63/1.92 (define @t714 () (not (tptp.class_Ring__and__Field_Omult__zero @t2))) % 1.63/1.92 (define @t715 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t2))) % 1.63/1.92 (define @t716 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t2))) % 1.63/1.92 (define @t717 () (= @t674 @t13)) % 1.63/1.92 (define @t718 () (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t13 @t2) @t13)) % 1.63/1.92 (define @t719 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t2))) % 1.63/1.92 (define @t720 () (not (= @t196 @t13))) % 1.63/1.92 (define @t721 () (= @t457 @t13)) % 1.63/1.92 (define @t722 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t29 @t2)) % 1.63/1.92 (define @t723 () (not (= @t6 @t13))) % 1.63/1.92 (define @t724 () (= (tptp.hAPP @t190 @t5) @t5)) % 1.63/1.92 (define @t725 () (= (tptp.hAPP @t63 @t13) @t5)) % 1.63/1.92 (define @t726 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t23 tptp.tc_nat)) % 1.63/1.92 (define @t727 () (@var "V_xb" $$unsorted)) % 1.63/1.92 (define @t728 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t561 @t653 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t703))) % 1.63/1.92 (define @t729 () (@list @t20 @t653 @t16 @t484)) % 1.63/1.92 (define @t730 () (tptp.c_HOL_Oord__class_Oless @t23 @t571 tptp.tc_nat)) % 1.63/1.92 (define @t731 () (tptp.c_Orderings_Oord__class_Omin @t40 @t702 @t2)) % 1.63/1.92 (define @t732 () (tptp.c_Orderings_Oord__class_Omax @t31 @t222 @t2)) % 1.63/1.92 (define @t733 () (tptp.c_lessequals @t458 @t459 @t2)) % 1.63/1.92 (define @t734 () (not (= @t722 @t460))) % 1.63/1.92 (define @t735 () (@list @t2 @t31 @t29 @t459 @t458)) % 1.63/1.92 (define @t736 () (tptp.c_HOL_Oord__class_Oless @t459 @t458 @t2)) % 1.63/1.92 (define @t737 () (tptp.c_lessequals @t111 @t112 tptp.tc_nat)) % 1.63/1.92 (define @t738 () (tptp.c_HOL_Otimes__class_Otimes @t558 @t554 @t2)) % 1.63/1.92 (define @t739 () (@list @t2 @t555 @t553 @t554)) % 1.63/1.92 (define @t740 () (tptp.c_HOL_Otimes__class_Otimes @t555 @t557 @t2)) % 1.63/1.92 (define @t741 () (@list @t2 @t555 @t554 @t552)) % 1.63/1.92 (define @t742 () (= (tptp.c_HOL_Otimes__class_Otimes @t204 @t1 @t2) (tptp.hAPP @t536 @t368))) % 1.63/1.92 (define @t743 () (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Divides_Odiv__class_Odiv @t16 @t23 tptp.tc_nat)))) % 1.63/1.92 (define @t744 () (@list @t90 @t89 @t2)) % 1.63/1.92 (define @t745 () (@list @t306)) % 1.63/1.92 (define @t746 () (not (= @t245 @t23))) % 1.63/1.92 (define @t747 () (@var "V_f" $$unsorted)) % 1.63/1.92 (define @t748 () (@list @t1)) % 1.63/1.92 (define @t749 () (tptp.c_Lambda_OdB_OVar @t157)) % 1.63/1.92 (define @t750 () (@var "V_xd" $$unsorted)) % 1.63/1.92 (define @t751 () (@list @t90 @t89 @t86 @t157 @t2)) % 1.63/1.92 (define @t752 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t121 @t521 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.63/1.92 (define @t753 () (@var "V_U" $$unsorted)) % 1.63/1.92 (define @t754 () (not (tptp.c_Type_Otyping @t3 @t84 @t212))) % 1.63/1.92 (define @t755 () (@var "V_t_H" $$unsorted)) % 1.63/1.92 (define @t756 () (@var "V_type2_H" $$unsorted)) % 1.63/1.92 (define @t757 () (@var "V_type1_H" $$unsorted)) % 1.63/1.92 (define @t758 () (tptp.c_Type_Otype_OFun @t757 @t756)) % 1.63/1.92 (define @t759 () (@var "V_T2" $$unsorted)) % 1.63/1.92 (define @t760 () (@var "V_T1" $$unsorted)) % 1.63/1.92 (define @t761 () (@var "V_T1a" $$unsorted)) % 1.63/1.92 (define @t762 () (@var "V_type2" $$unsorted)) % 1.63/1.92 (define @t763 () (@var "V_type1" $$unsorted)) % 1.63/1.92 (define @t764 () (tptp.hAPP (tptp.hAPP @t89 @t763) @t762)) % 1.63/1.92 (define @t765 () (tptp.c_Type_Otype_OFun @t763 @t762)) % 1.63/1.92 (define @t766 () (@list @t90 @t89 @t763 @t762 @t2)) % 1.63/1.92 (define @t767 () (tptp.c_Type_Oshift @t3 @t83 @t753 tptp.tc_Type_Otype)) % 1.63/1.92 (define @t768 () (tptp.c_Lambda_Osubst @t84 @t123 @t83)) % 1.63/1.92 (define @t769 () (= (tptp.c_Power_Opower__class_Opower @t13 @t16 @t2) @t13)) % 1.63/1.92 (define @t770 () (tptp.c_Type_Otype_OFun @t212 @t753)) % 1.63/1.92 (define @t771 () (@var "V_env" $$unsorted)) % 1.63/1.92 (define @t772 () (@var "V_e_H" $$unsorted)) % 1.63/1.92 (define @t773 () (tptp.c_Type_Otype_OFun tptp.v_Ta____ tptp.v_U____)) % 1.63/1.92 (define @t774 () (not (= @t765 @t758))) % 1.63/1.92 (define @t775 () (@list @t763 @t762 @t757 @t756)) % 1.63/1.92 (define @t776 () (tptp.hAPP (tptp.c_Type_Oshift @t3 @t31 @t212 @t2) @t31)) % 1.63/1.92 (define @t777 () (forall (@list @t3 @t31 @t212 @t2) (= @t776 @t212))) % 1.63/1.92 (define @t778 () (tptp.c_Lambda_OdB_OVar @t23)) % 1.63/1.92 (define @t779 () (tptp.c_Type_Oshift tptp.v_ea____ @t23 @t773 tptp.tc_Type_Otype)) % 1.63/1.92 (define @t780 () (tptp.c_Type_Otyping @t779 @t778 @t773)) % 1.63/1.92 (define @t781 () (@var "T_1" $$unsorted)) % 1.63/1.92 (define @t782 () (@var "T_2" $$unsorted)) % 1.63/1.92 (define @t783 () (tptp.tc_fun @t782 @t781)) % 1.63/1.92 (define @t784 () (@list @t782 @t781)) % 1.63/1.92 (define @t785 () (@var "V_Y" $$unsorted)) % 1.63/1.92 (define @t786 () (@var "V_X" $$unsorted)) % 1.63/1.92 (assume @p1 (forall (@list @t2 @t5 @t3 @t1 @t4) (or @t12 (= @t11 (tptp.hAPP @t9 @t8))))) % 1.63/1.92 (assume @p2 (forall @t19 (or @t18 (tptp.c_lessequals @t13 @t17 @t2) @t15))) % 1.63/1.92 (assume @p3 (forall @t26 (or @t25 @t22))) % 1.63/1.92 (assume @p4 (forall @t26 (or @t27 @t21))) % 1.63/1.92 (assume @p5 (forall @t35 (or @t34 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t28 @t2) (tptp.c_Orderings_Oord__class_Omin @t32 @t30 @t2))))) % 1.63/1.92 (assume @p6 (forall @t35 (or @t42 @t41 @t39 @t37))) % 1.63/1.92 (assume @p7 (forall @t46 (or (= (tptp.c_Divides_Odiv__class_Odiv @t45 @t16 tptp.tc_nat) @t20) @t44))) % 1.63/1.92 (assume @p8 (forall @t26 (or (= (tptp.c_Divides_Odiv__class_Odiv @t47 @t16 tptp.tc_nat) @t20) @t44))) % 1.63/1.92 (assume @p9 (forall (@list @t48 @t49 @t20) (or (= (tptp.c_HOL_Ominus__class_Ominus @t56 @t20 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t54 @t53 tptp.tc_nat)) @t50))) % 1.63/1.92 (assume @p10 (forall @t59 (or @t58 @t57))) % 1.63/1.92 (assume @p11 (forall @t68 (or @t67 @t66 @t65 @t62 @t61))) % 1.63/1.92 (assume @p12 (forall @t73 (or (tptp.c_HOL_Oord__class_Oless @t20 @t72 tptp.tc_nat) @t22 @t70))) % 1.63/1.92 (assume @p13 (= @t75 @t74)) % 1.63/1.92 (assume @p14 (forall @t79 (or @t18 @t21 (not @t78)))) % 1.63/1.92 (assume @p15 (forall @t79 (or @t18 @t78 @t22))) % 1.63/1.92 (assume @p16 (forall (@list @t81 @t84 @t83 @t80) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t81 @t84 @t83) (tptp.c_Lambda_Osubst @t80 @t84 @t83)) @t82))) % 1.63/1.92 (assume @p17 (forall @t91 (= (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t88 @t2) @t87))) % 1.63/1.92 (assume @p18 (forall @t97 (or @t42 @t96 @t95 @t93))) % 1.63/1.92 (assume @p19 (forall @t100 (= (tptp.hAPP (tptp.hAPP @t51 @t98) @t99) (tptp.hAPP (tptp.hAPP @t51 @t99) @t98)))) % 1.63/1.92 (assume @p20 (forall (@list @t31 @t1 @t102) (= (tptp.hAPP (tptp.hAPP @t51 @t101) @t103) (tptp.hAPP (tptp.hAPP @t51 @t103) @t101)))) % 1.63/1.92 (assume @p21 (forall (@list @t2 @t31 @t1 @t102) (or @t107 @t106 (= (tptp.hAPP (tptp.hAPP @t7 @t104) @t105) (tptp.hAPP (tptp.hAPP @t7 @t105) @t104))))) % 1.63/1.92 (assume @p22 (forall @t35 (or @t107 @t106 (= @t110 (tptp.hAPP (tptp.hAPP @t7 @t109) @t108))))) % 1.63/1.92 (assume @p23 (forall @t26 (= (tptp.c_Orderings_Oord__class_Omax @t112 @t111 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t20 @t16 tptp.tc_nat))))) % 1.63/1.92 (assume @p24 (forall @t114 (or @t113 (not (tptp.c_HOL_Oord__class_Oless @t16 @t74 tptp.tc_nat))))) % 1.63/1.92 (assume @p25 (forall @t118 (or @t117 @t14 (not @t116)))) % 1.63/1.92 (assume @p26 (forall @t118 (or @t117 @t116 @t15))) % 1.63/1.92 (assume @p27 (forall @t26 (tptp.c_lessequals @t119 @t20 tptp.tc_nat))) % 1.63/1.92 (assume @p28 (forall @t120 (or @t42 (= (tptp.c_Orderings_Oord__class_Omin @t31 @t33 @t2) @t33)))) % 1.63/1.92 (assume @p29 (forall (@list @t83 @t80 @t49) (or (= (tptp.c_Lambda_Osubst @t121 @t80 @t49) @t121) (= @t83 @t49) (tptp.c_HOL_Oord__class_Oless @t49 @t83 tptp.tc_nat)))) % 1.63/1.92 (assume @p30 (forall @t131 (or (= @t130 (tptp.c_HOL_Ominus__class_Ominus @t20 @t125 tptp.tc_nat)) @t122))) % 1.63/1.92 (assume @p31 (forall @t131 (or (= @t130 (tptp.c_HOL_Ominus__class_Ominus @t134 @t16 tptp.tc_nat)) @t132))) % 1.63/1.92 (assume @p32 (forall @t136 (or @t135 (= (tptp.hAPP (tptp.hAPP @t7 @t6) @t4) @t5)))) % 1.63/1.92 (assume @p33 (forall (@list @t137 @t4 @t31) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t139 @t31) @t4 tptp.tc_nat)))) @t138))) % 1.63/1.92 (assume @p34 (forall (@list @t137 @t4 @t102) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t139 @t102) @t4 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t137 @t102))))) % 1.63/1.92 (assume @p35 (forall @t143 (or @t142 @t69))) % 1.63/1.92 (assume @p36 (forall @t147 (or @t146 @t69))) % 1.63/1.92 (assume @p37 (forall @t153 (or @t152 (= (tptp.c_Power_Opower__class_Opower @t151 @t148 @t2) (tptp.c_Power_Opower__class_Opower @t31 @t150 @t2))))) % 1.63/1.92 (assume @p38 (forall @t159 (or @t158 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Suc @t156)))) @t155))) % 1.63/1.92 (assume @p39 (forall @t19 (or @t162 (= @t161 @t160)))) % 1.63/1.92 (assume @p40 (forall @t19 (or @t164 (= @t161 @t163)))) % 1.63/1.92 (assume @p41 (forall (@list @t2 @t31 @t16) (or @t152 (= (tptp.c_Power_Opower__class_Opower @t31 @t111 @t2) (tptp.c_HOL_Otimes__class_Otimes @t31 (tptp.c_Power_Opower__class_Opower @t31 @t16 @t2) @t2))))) % 1.63/1.92 (assume @p42 (forall @t169 (or @t152 (= @t168 @t166)))) % 1.63/1.92 (assume @p43 (forall @t176 (or (tptp.c_lessequals @t175 @t173 tptp.tc_nat) @t171 @t122))) % 1.63/1.92 (assume @p44 (forall @t183 (or @t182 (tptp.c_lessequals @t64 @t181 @t2) @t179 @t178))) % 1.63/1.92 (assume @p45 (forall @t26 (or @t184 @t22))) % 1.63/1.92 (assume @p46 (forall @t26 (or @t21 @t185))) % 1.63/1.92 (assume @p47 (forall @t189 (or (not @t188) @t187))) % 1.63/1.93 (assume @p48 (forall @t120 (or @t152 (= @t108 (tptp.c_HOL_Otimes__class_Otimes @t29 @t31 @t2))))) % 1.63/1.93 (assume @p49 (forall @t26 (= @t47 @t45))) % 1.63/1.93 (assume @p50 (forall @t194 (or @t193 @t192 @t192 @t191))) % 1.63/1.93 (assume @p51 (forall @t136 (or @t152 (= @t196 @t195)))) % 1.63/1.93 (assume @p52 (forall @t26 (tptp.c_HOL_Oord__class_Oless @t24 @t112 tptp.tc_nat))) % 1.63/1.93 (assume @p53 (forall @t201 (= (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t200 @t2) @t199))) % 1.63/1.93 (assume @p54 (forall @t136 (or @t193 (tptp.c_lessequals @t13 @t204 @t2) @t203 @t15))) % 1.63/1.93 (assume @p55 (tptp.c_InductTermi_OIT tptp.v_ta____)) % 1.63/1.93 (assume @p56 (forall @t208 (or @t207 @t36 @t39 @t206))) % 1.63/1.93 (assume @p57 (forall @t97 (or @t211 @t92 @t95 @t210))) % 1.63/1.93 (assume @p58 (forall (@list @t3 @t123 @t212 @t84) (or (tptp.c_Type_Otyping @t3 @t123 @t216) @t215))) % 1.63/1.93 (assume @p59 (forall @t120 (or @t42 @t219 @t218))) % 1.63/1.93 (assume @p60 (forall @t120 (or @t42 (not @t219) @t217))) % 1.63/1.93 (assume @p61 (forall @t35 (or @t42 @t223 @t221 @t218))) % 1.63/1.93 (assume @p62 (forall @t230 (or @t42 @t229 @t227 @t225))) % 1.63/1.93 (assume @p63 (forall @t120 (or @t42 (tptp.c_lessequals @t33 @t29 @t2)))) % 1.63/1.93 (assume @p64 (forall @t120 (or @t42 (tptp.c_lessequals @t33 @t31 @t2)))) % 1.63/1.93 (assume @p65 (forall @t159 (or @t158 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Suc @t231)))) @t155))) % 1.63/1.93 (assume @p66 (forall @t183 (or @t241 @t240 @t237 @t236 @t234 @t233))) % 1.63/1.93 (assume @p67 (forall @t243 (or @t242 @t164 (= (tptp.c_Power_Opower__class_Opower @t13 @t111 @t2) @t13)))) % 1.63/1.93 (assume @p68 (forall @t26 (= @t247 @t246))) % 1.63/1.93 (assume @p69 (forall @t26 (= @t248 @t246))) % 1.63/1.93 (assume @p70 (forall (@list @t148 @t20 @t16) (or (= @t148 @t119) (not (tptp.c_HOL_Oord__class_Oless @t20 (tptp.c_HOL_Otimes__class_Otimes @t16 @t167 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes @t16 @t148 tptp.tc_nat) @t20 tptp.tc_nat)) @t44))) % 1.63/1.93 (assume @p71 (forall (@list @t2 @t5 @t3 @t4 @t102) (or @t12 (= (tptp.hAPP @t10 @t250) @t249)))) % 1.63/1.93 (assume @p72 (forall @t254 (or @t253 @t252 @t132))) % 1.63/1.93 (assume @p73 (forall @t131 (or @t251 (not @t253) @t132))) % 1.63/1.93 (assume @p74 (forall @t256 (or @t255 @t252 @t122))) % 1.63/1.93 (assume @p75 (forall @t131 (or @t251 (not @t255) @t122))) % 1.63/1.93 (assume @p76 (forall @t258 (or @t12 @t257 (= @t1 @t250)))) % 1.63/1.93 (assume @p77 (forall @t258 (or @t12 @t257 (= @t8 @t102)))) % 1.63/1.93 (assume @p78 (forall (@list @t137 @t16 @t31) (or @t261 @t138 (not (tptp.c_HOL_Oord__class_Oless @t31 @t259 tptp.tc_nat)) @t155))) % 1.63/1.93 (assume @p79 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t83 (tptp.c_Suc (tptp.hAPP @t174 @t20)) tptp.tc_nat))) % 1.63/1.93 (assume @p80 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t83 (tptp.c_Suc (tptp.hAPP @t244 @t83)) tptp.tc_nat))) % 1.63/1.93 (assume @p81 (forall @t264 (tptp.c_HOL_Oord__class_Oless @t20 (tptp.c_Suc @t263) tptp.tc_nat))) % 1.63/1.93 (assume @p82 (forall @t267 (or @t266 (not @t265) @t50))) % 1.63/1.93 (assume @p83 (forall @t268 (or @t265 (not @t266) @t50))) % 1.63/1.93 (assume @p84 (forall @t35 (or @t42 @t271 @t270 @t221))) % 1.63/1.93 (assume @p85 (forall @t277 (or @t42 (tptp.c_lessequals @t276 @t31 @t2) @t275 @t273))) % 1.63/1.93 (assume @p86 (forall @t284 (or @t42 @t283 @t281 @t279))) % 1.63/1.93 (assume @p87 (forall @t120 (or @t42 (tptp.c_lessequals @t31 @t40 @t2)))) % 1.63/1.93 (assume @p88 (forall @t285 (or @t42 (tptp.c_lessequals @t29 @t40 @t2)))) % 1.63/1.93 (assume @p89 (forall @t286 (or (not (tptp.class_Orderings_Obot @t2)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t2) @t31 @t2)))) % 1.63/1.93 (assume @p90 (forall @t289 (= (tptp.c_Nat_Onat_Onat__rec @t90 @t89 @t288 @t2) (tptp.hAPP @t287 (tptp.c_Nat_Onat_Onat__rec @t90 @t89 @t157 @t2))))) % 1.63/1.93 (assume @p91 (forall (@list @t292 @t31 @t149 @t148 @t294 @t293 @t291 @t290 @t2) (or (= (tptp.hAPP (tptp.hAPP @t292 @t297) @t148) (tptp.hAPP @t296 @t150)) @t295))) % 1.63/1.93 (assume @p92 (forall @t277 (or @t42 (= (tptp.c_Orderings_Oord__class_Omin @t276 @t31 @t2) (tptp.c_Orderings_Oord__class_Omax @t298 (tptp.c_Orderings_Oord__class_Omin @t28 @t31 @t2) @t2))))) % 1.63/1.93 (assume @p93 (forall @t35 (or @t42 (= @t301 @t300)))) % 1.63/1.93 (assume @p94 (forall @t68 (or @t67 @t66 @t302 @t62 @t15))) % 1.63/1.93 (assume @p95 (forall @t68 (or @t67 @t66 @t302 @t304 @t237))) % 1.63/1.93 (assume @p96 (forall @t159 (or @t158 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Suc @t305)))) @t155))) % 1.63/1.93 (assume @p97 (forall @t309 (or (not (= @t308 (tptp.c_Type_Otype_OAtom @t306))) @t307))) % 1.63/1.93 (assume @p98 (forall @t159 (or @t158 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Suc @t310)))) @t155))) % 1.63/1.93 (assume @p99 (forall @t26 (or @t313 @t312))) % 1.63/1.93 (assume @p100 (forall @t26 (or @t311 @t314))) % 1.63/1.93 (assume @p101 (forall @t46 (or @t316 (not @t315)))) % 1.63/1.93 (assume @p102 (forall @t46 (or @t315 @t317))) % 1.63/1.93 (assume @p103 (forall @t100 (or @t322 @t319))) % 1.63/1.93 (assume @p104 (forall @t100 (or @t322 (not (tptp.c_HOL_Oord__class_Oless @t31 @t28 tptp.tc_nat))))) % 1.63/1.93 (assume @p105 (forall @t267 (or @t324 (not (tptp.c_HOL_Oord__class_Oless @t323 @t49 tptp.tc_nat))))) % 1.63/1.93 (assume @p106 (forall @t327 (or (tptp.c_HOL_Oord__class_Oless @t83 @t326 tptp.tc_nat) @t325))) % 1.63/1.93 (assume @p107 (forall @t329 (or (tptp.c_HOL_Oord__class_Oless @t83 @t328 tptp.tc_nat) @t325))) % 1.63/1.93 (assume @p108 (forall @t258 (or @t332 @t331 (not @t330)))) % 1.63/1.93 (assume @p109 (forall @t334 (or @t332 @t330 @t333))) % 1.63/1.93 (assume @p110 (forall @t258 (or @t332 @t331 (not @t335)))) % 1.63/1.93 (assume @p111 (forall @t336 (or @t332 @t335 @t333))) % 1.63/1.93 (assume @p112 (forall @t26 (or (= @t339 (tptp.c_Suc @t24)) @t338))) % 1.63/1.93 (assume @p113 (forall (@list @t80 @t84 @t49) (= (tptp.c_Lambda_Olift @t342 @t49) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t80 @t49)) @t340)))) % 1.63/1.93 (assume @p114 (forall @t120 (or @t345 (tptp.c_lessequals @t13 @t344 @t2)))) % 1.63/1.93 (assume @p115 (forall (@list @t2 @t5 @t1) (or @t152 (= @t64 @t347)))) % 1.63/1.93 (assume @p116 (forall @t136 (or @t66 (= @t204 @t348)))) % 1.63/1.93 (assume @p117 (forall @t26 (= @t245 @t349))) % 1.63/1.93 (assume @p118 (forall (@list @t20 @t170 @t49 @t16) (or (not (= (tptp.hAPP @t244 @t170) @t351)) @t350 @t311))) % 1.63/1.93 (assume @p119 (forall @t120 (or @t152 (= @t354 (tptp.hAPP @t352 @t31))))) % 1.63/1.93 (assume @p120 (forall @t26 (or @t356 @t355))) % 1.63/1.93 (assume @p121 (forall @t26 (or @t356 @t357))) % 1.63/1.93 (assume @p122 (forall (@list @t2 @t31 @t29 @t358) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t2)) (= (tptp.c_List_Ofoldl @t7 @t354 @t358 @t2 @t2) (tptp.hAPP @t353 (tptp.c_List_Ofoldl @t7 @t29 @t358 @t2 @t2)))))) % 1.63/1.93 (assume @p123 (forall @t361 (or (tptp.c_HOL_Oord__class_Oless @t360 @t359 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t20 @t170 tptp.tc_nat)) @t312))) % 1.63/1.93 (assume @p124 (forall @t363 (or @t261 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Suc @t362)))) @t155))) % 1.63/1.93 (assume @p125 (forall @t79 (or (not (tptp.class_Nat_Osemiring__char__0 @t2)) (not (= @t77 @t76)) @t57))) % 1.63/1.93 (assume @p126 (forall @t366 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t49 @t16 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t49 @t20 tptp.tc_nat) tptp.tc_nat) @t22 @t365))) % 1.63/1.93 (assume @p127 (forall @t26 (or @t367 @t312 @t44))) % 1.63/1.93 (assume @p128 (forall @t371 (or @t241 @t232 @t237 @t370))) % 1.63/1.93 (assume @p129 (forall @t371 (or @t241 @t232 @t237 @t375))) % 1.63/1.93 (assume @p130 (forall @t371 (or @t376 @t232 @t237 @t370))) % 1.63/1.93 (assume @p131 (forall @t371 (or @t376 @t232 @t237 @t375))) % 1.63/1.93 (assume @p132 (forall @t19 (or @t162 (= @t160 @t163)))) % 1.63/1.93 (assume @p133 (forall (@list @t137 @t20 @t16 @t31) (or (tptp.hBOOL (tptp.hAPP @t137 @t119)) (not @t138) (not (tptp.c_HOL_Oord__class_Oless @t20 (tptp.c_HOL_Otimes__class_Otimes @t16 @t186 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes @t16 @t31 tptp.tc_nat) @t20 tptp.tc_nat))))) % 1.63/1.93 (assume @p134 (forall @t379 (or @t42 @t378 @t274 (not @t377)))) % 1.63/1.93 (assume @p135 (forall @t153 (or @t152 (= (tptp.c_HOL_Otimes__class_Otimes @t151 @t165 @t2) (tptp.c_Power_Opower__class_Opower @t31 @t380 @t2))))) % 1.63/1.93 (assume @p136 (forall @t363 (or (tptp.c_lessequals @t382 @t16 tptp.tc_nat) @t381 @t154))) % 1.63/1.93 (assume @p137 (forall (@list @t293 @t292 @t31 @t149 @t148 @t294 @t291 @t290 @t2) (or (= (tptp.hAPP (tptp.hAPP @t293 @t297) @t383) (tptp.hAPP @t296 @t380)) @t295))) % 1.63/1.93 (assume @p138 (forall (@list @t16 @t84 @t49) (= (tptp.c_Lambda_Oliftn @t111 @t84 @t49) (tptp.c_Lambda_Olift @t384 @t49)))) % 1.63/1.93 (assume @p139 (forall (@list @t48 @t83 @t123 @t20) (or @t132 (= @t129 (tptp.hAPP @t126 @t134))))) % 1.63/1.93 (assume @p140 (forall @t208 (or @t42 @t220 @t385))) % 1.63/1.93 (assume @p141 (forall @t35 (or @t42 @t217 @t385))) % 1.63/1.93 (assume @p142 (forall @t35 (or @t42 @t386 @t270))) % 1.63/1.93 (assume @p143 (forall @t35 (or @t42 @t386 @t221))) % 1.63/1.93 (assume @p144 (forall @t284 (or @t42 @t387 @t281))) % 1.63/1.93 (assume @p145 (forall @t284 (or @t42 @t387 @t279))) % 1.63/1.93 (assume @p146 (forall (@list @t2 @t31 @t4 @t5) (or @t42 @t226 @t388))) % 1.63/1.93 (assume @p147 (forall @t230 (or @t42 @t224 @t388))) % 1.63/1.93 (assume @p148 (forall @t371 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP @t63 @t368) @t4 @t2) @t391) @t389))) % 1.63/1.93 (assume @p149 (forall @t393 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP @t63 @t372) @t4 @t2) @t391) @t389))) % 1.63/1.93 (assume @p150 (forall @t26 (or @t394 @t311 @t44))) % 1.63/1.93 (assume @p151 (forall @t120 (or @t193 @t398 @t397 @t396 @t395))) % 1.63/1.93 (assume @p152 (forall @t120 (or @t193 @t398 @t397 @t396 @t399))) % 1.63/1.93 (assume @p153 (forall @t401 (or (not (= @t186 (tptp.c_Suc @t29))) @t400))) % 1.63/1.93 (assume @p154 (forall @t309 (or (not (= @t288 @t402)) @t307))) % 1.63/1.93 (assume @p155 (forall @t258 (or @t332 @t404 (not @t403)))) % 1.63/1.93 (assume @p156 (forall @t334 (or @t332 @t403 @t405))) % 1.63/1.93 (assume @p157 (forall @t258 (or @t332 @t404 (not @t406)))) % 1.63/1.93 (assume @p158 (forall @t336 (or @t332 @t406 @t405))) % 1.63/1.93 (assume @p159 (forall @t131 (or @t407 @t132 (= @t134 @t16)))) % 1.63/1.93 (assume @p160 (forall @t120 (or @t42 (= @t40 @t31) @t273))) % 1.63/1.93 (assume @p161 (forall @t35 (or @t152 (= @t409 (tptp.hAPP (tptp.hAPP @t7 @t354) @t28))))) % 1.63/1.93 (assume @p162 (forall @t35 (or @t411 (= @t409 (tptp.hAPP @t352 @t410))))) % 1.63/1.93 (assume @p163 (forall @t100 (= (tptp.hAPP @t412 @t321) (tptp.hAPP @t320 @t413)))) % 1.63/1.93 (assume @p164 (forall @t73 (= (tptp.hAPP (tptp.hAPP @t51 @t245) @t49) (tptp.hAPP @t244 @t72)))) % 1.63/1.93 (assume @p165 (forall @t371 (or @t66 @t418))) % 1.63/1.93 (assume @p166 (forall @t371 (or @t66 (= @t415 (tptp.hAPP @t180 @t64))))) % 1.63/1.93 (assume @p167 (forall @t371 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t2)) @t418))) % 1.63/1.93 (assume @p168 (forall @t422 (or @t152 (= @t421 (tptp.hAPP @t419 @t102))))) % 1.63/1.93 (assume @p169 (forall @t371 (or @t152 (= @t417 (tptp.hAPP @t419 @t4))))) % 1.63/1.93 (assume @p170 (forall @t422 (or @t152 (= @t421 (tptp.hAPP @t346 (tptp.hAPP @t63 @t102)))))) % 1.63/1.93 (assume @p171 (forall @t371 (or @t152 @t418))) % 1.63/1.93 (assume @p172 (forall @t46 (or @t43 @t364 (not @t423)))) % 1.63/1.93 (assume @p173 (forall @t425 (or @t162 (= (tptp.c_Power_Opower__class_Opower @t5 @t245 @t2) (tptp.c_HOL_Otimes__class_Otimes @t424 @t17 @t2))))) % 1.63/1.93 (assume @p174 (forall @t46 (or @t428 @t427))) % 1.63/1.93 (assume @p175 (forall @t26 (or @t429 @t427))) % 1.63/1.93 (assume @p176 (forall (@list @t2 @t31 @t29 @t28 @t123) (or @t411 (not (= @t409 (tptp.hAPP @t352 @t123))) (= @t410 @t123)))) % 1.63/1.93 (assume @p177 (forall @t329 (or (tptp.c_lessequals @t83 @t328 tptp.tc_nat) @t122))) % 1.63/1.93 (assume @p178 (forall @t327 (or (tptp.c_lessequals @t83 @t326 tptp.tc_nat) @t122))) % 1.63/1.93 (assume @p179 (forall @t366 (or @t432 @t431))) % 1.63/1.93 (assume @p180 (forall @t73 (or @t21 @t431))) % 1.63/1.93 (assume @p181 (forall @t100 (or @t433 (not (tptp.c_lessequals @t31 @t28 tptp.tc_nat))))) % 1.63/1.93 (assume @p182 (forall @t100 (or @t433 (not @t434)))) % 1.63/1.93 (assume @p183 (forall @t120 (or @t42 @t435 @t218))) % 1.63/1.93 (assume @p184 (forall @t120 (or @t42 (not @t435) @t217))) % 1.63/1.93 (assume @p185 (forall @t120 (or @t42 (= @t33 @t29) @t273))) % 1.63/1.93 (assume @p186 (forall @t35 (or @t34 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t28 @t2) (tptp.c_Orderings_Oord__class_Omax @t32 @t30 @t2))))) % 1.63/1.93 (assume @p187 (forall @t120 (or @t42 @t205 @t272))) % 1.63/1.93 (assume @p188 (forall @t286 (or @t42 (not @t438) @t437))) % 1.63/1.93 (assume @p189 (forall @t286 (or @t42 @t436 @t438))) % 1.63/1.93 (assume @p190 (forall @t120 (or @t42 @t206 @t273))) % 1.63/1.93 (assume @p191 (forall @t285 (or @t42 @t272 @t205))) % 1.63/1.93 (assume @p192 (forall @t120 (or @t42 @t218 @t210))) % 1.63/1.93 (assume @p193 (forall @t285 (or @t42 @t209 @t217))) % 1.63/1.93 (assume @p194 (forall @t285 (or @t207 @t273 @t206))) % 1.63/1.93 (assume @p195 (forall @t363 (or @t261 (tptp.c_HOL_Oord__class_Oless @t23 @t259 tptp.tc_nat) @t155))) % 1.63/1.93 (assume @p196 (forall (@list @t31 @t80) (or @t440 (= (tptp.c_Lambda_Osubst @t439 @t80 @t31) @t80)))) % 1.63/1.93 (assume @p197 (forall (@list @t137 @t212) (or @t442 (not (tptp.hBOOL (tptp.hAPP @t137 @t441)))))) % 1.63/1.93 (assume @p198 (forall @t35 (or @t42 (= (tptp.c_Orderings_Oord__class_Omin @t33 @t28 @t2) @t443)))) % 1.63/1.93 (assume @p199 (forall @t35 (or @t42 (= @t443 (tptp.c_Orderings_Oord__class_Omin @t29 @t299 @t2))))) % 1.63/1.93 (assume @p200 (= @t74 @t445)) % 1.63/1.93 (assume @p201 (forall @t68 (or @t67 @t66 @t65 @t446 @t15))) % 1.63/1.93 (assume @p202 (forall @t361 (or (tptp.c_lessequals @t360 @t359 tptp.tc_nat) @t22))) % 1.63/1.93 (assume @p203 (forall (@list @t20 @t170 @t16) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t20 @t170 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t16 @t170 tptp.tc_nat) tptp.tc_nat) @t22))) % 1.63/1.93 (assume @p204 (forall @t143 (or @t451 @t22 @t448 @t447))) % 1.63/1.93 (assume @p205 (forall @t73 (or @t21 (not @t451) @t448 @t447))) % 1.63/1.93 (assume @p206 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t349 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p207 (forall @t268 (= @t453 (tptp.c_HOL_Ominus__class_Ominus @t83 @t452 tptp.tc_nat)))) % 1.63/1.93 (assume @p208 (forall @t455 (or @t18 (tptp.c_lessequals @t17 @t454 @t2) @t15 @t178))) % 1.63/1.93 (assume @p209 (forall (@list @t2 @t456 @t29 @t31) (or @t411 (not (= (tptp.c_HOL_Ominus__class_Ominus @t456 @t29 @t2) @t457)) (= @t456 @t29)))) % 1.63/1.93 (assume @p210 (forall (@list @t2 @t31 @t459 @t458) (or @t411 (not (= @t457 @t460)) (= @t459 @t458)))) % 1.63/1.93 (assume @p211 (forall @t143 (or (not (= @t450 @t449)) @t448 @t447 @t57))) % 1.63/1.93 (assume @p212 (forall @t120 (or @t42 (= (tptp.c_Orderings_Oord__class_Omin @t31 @t40 @t2) @t31)))) % 1.63/1.93 (assume @p213 (forall @t147 (or @t461 @t70 @t57))) % 1.63/1.93 (assume @p214 (forall @t26 (or @t462 @t357 @t113))) % 1.63/1.93 (assume @p215 (forall @t26 (or @t462 @t463 @t355))) % 1.63/1.93 (assume @p216 (forall @t147 (or @t69 @t465))) % 1.63/1.93 (assume @p217 (forall @t147 (or @t69 @t467))) % 1.63/1.93 (assume @p218 (forall @t26 (= @t248 @t247))) % 1.63/1.93 (assume @p219 (forall @t73 (or @t21 @t70 (not @t142)))) % 1.63/1.93 (assume @p220 (forall @t73 (or @t21 @t70 @t468))) % 1.63/1.93 (assume @p221 (forall @t73 (or @t21 @t468 @t70))) % 1.63/1.93 (assume @p222 (forall @t147 (or @t146 @t22 @t70))) % 1.63/1.93 (assume @p223 (forall @t68 (or @t345 @t303 @t472 @t470))) % 1.63/1.93 (assume @p224 (forall @t473 (or @t345 @t471 @t304 @t470))) % 1.63/1.93 (assume @p225 (forall @t371 (or @t345 @t177 @t472 @t475))) % 1.63/1.93 (assume @p226 (forall @t473 (or @t345 @t471 @t178 @t475))) % 1.63/1.93 (assume @p227 (forall @t371 (or @t241 @t177 @t475 @t472))) % 1.63/1.93 (assume @p228 (forall @t371 (or @t241 @t177 @t475 (not @t476)))) % 1.63/1.93 (assume @p229 (forall @t26 (or (tptp.c_HOL_Oord__class_Oless @t74 @t47 tptp.tc_nat) @t478 @t477))) % 1.63/1.93 (assume @p230 (forall @t143 (= (tptp.c_HOL_Ominus__class_Ominus @t430 @t72 tptp.tc_nat) @t24))) % 1.63/1.93 (assume @p231 (forall @t147 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t351 tptp.tc_nat) @t24))) % 1.63/1.93 (assume @p232 (forall @t114 (tptp.c_HOL_Oord__class_Oless @t23 @t111 tptp.tc_nat))) % 1.63/1.93 (assume @p233 (forall @t189 (tptp.c_HOL_Oord__class_Oless @t23 @t186 tptp.tc_nat))) % 1.63/1.93 (assume @p234 (forall @t479 (= (tptp.c_Nat_Osize__class_Osize @t200 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP @t51 (tptp.c_Nat_Osize__class_Osize @t198 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t197 tptp.tc_Lambda_OdB))) @t74)))) % 1.63/1.93 (assume @p235 (forall @t230 (or @t42 @t480 (not (tptp.c_HOL_Oord__class_Oless @t31 @t5 @t2))))) % 1.63/1.93 (assume @p236 (forall @t230 (or @t42 @t480 (not (tptp.c_HOL_Oord__class_Oless @t31 @t4 @t2))))) % 1.63/1.93 (assume @p237 (forall @t97 (or @t42 @t481 @t93))) % 1.63/1.93 (assume @p238 (forall @t97 (or @t42 @t481 @t95))) % 1.63/1.93 (assume @p239 (forall @t208 (or @t42 @t36 @t482))) % 1.63/1.93 (assume @p240 (forall @t277 (or @t42 @t38 @t482))) % 1.63/1.93 (assume @p241 (forall @t120 (or @t42 (= @t33 @t298)))) % 1.63/1.93 (assume @p242 (forall (@list @t83 @t123 @t48 @t49) (= (tptp.hAPP @t128 (tptp.hAPP @t126 @t49)) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t323 @t123 tptp.tc_nat)) @t49)))) % 1.63/1.93 (assume @p243 (forall (@list @t2 @t5 @t3 @t4 @t1) (or (not (tptp.class_Ring__and__Field_Osemiring @t2)) (= (tptp.hAPP @t10 (tptp.hAPP @t9 @t1)) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t204 @t3 @t2)) @t1))))) % 1.63/1.93 (assume @p244 (forall @t26 (tptp.c_lessequals @t24 @t20 tptp.tc_nat))) % 1.63/1.93 (assume @p245 (forall @t486 (or (not (= @t483 @t485)) (= @t483 @t80)))) % 1.63/1.93 (assume @p246 (forall @t46 (or @t43 @t488))) % 1.63/1.93 (assume @p247 (forall @t26 (or @t364 @t488))) % 1.63/1.93 (assume @p248 (forall @t136 (or @t193 @t492 @t491 @t490))) % 1.63/1.93 (assume @p249 (forall @t455 (or @t18 @t493 @t44 @t15 @t233))) % 1.63/1.93 (assume @p250 (forall @t120 (or @t345 @t399 @t494))) % 1.63/1.93 (assume @p251 (forall @t285 (or @t345 @t395 @t494))) % 1.63/1.93 (assume @p252 (forall (@list @t137 @t90 @t89 @t456) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Nat_Onat_Onat__case @t90 @t89 (tptp.c_Suc @t456) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t495))))) % 1.63/1.93 (assume @p253 (forall @t496 (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Nat_Onat_Onat__case @t90 @t89 @t288 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t287))))) % 1.63/1.93 (assume @p254 (forall @t147 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t24 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t145 @t144 tptp.tc_nat)))) % 1.63/1.93 (assume @p255 (forall @t73 (= (tptp.c_HOL_Otimes__class_Otimes @t24 @t49 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t141 @t140 tptp.tc_nat)))) % 1.63/1.93 (assume @p256 (forall @t284 (or @t42 @t497 (not (tptp.c_HOL_Oord__class_Oless @t5 @t31 @t2))))) % 1.63/1.93 (assume @p257 (forall @t284 (or @t42 @t497 (not (tptp.c_HOL_Oord__class_Oless @t4 @t31 @t2))))) % 1.63/1.93 (assume @p258 (forall @t97 (or @t42 @t92 @t498))) % 1.63/1.93 (assume @p259 (forall @t379 (or @t42 @t94 @t498))) % 1.63/1.93 (assume @p260 (forall @t131 (or @t407 @t122 (= @t20 @t125)))) % 1.63/1.93 (assume @p261 (forall @t277 (or @t42 @t269 @t220 (not @t386)))) % 1.63/1.93 (assume @p262 (forall (@list @t83 @t48 @t123 @t16) (or @t122 (= (tptp.hAPP @t128 @t125) @t127)))) % 1.63/1.93 (assume @p263 (tptp.c_HOL_Oord__class_Oless @t23 @t74 tptp.tc_nat)) % 1.63/1.93 (assume @p264 (forall @t118 (or @t117 @t499 @t490))) % 1.63/1.93 (assume @p265 (forall @t118 (or @t117 @t489 @t500))) % 1.63/1.93 (assume @p266 (forall @t118 (or @t501 @t489 @t500))) % 1.63/1.93 (assume @p267 (forall @t118 (or @t501 @t499 @t490))) % 1.63/1.93 (assume @p268 (forall @t26 (or @t462 @t357 @t355))) % 1.63/1.93 (assume @p269 (forall @t26 (or @t462 @t463 @t113))) % 1.63/1.93 (assume @p270 (forall @t502 (or @t241 @t235 @t61 (not (tptp.c_HOL_Oord__class_Oless @t13 @t195 @t2))))) % 1.63/1.93 (assume @p271 (forall @t502 (or @t241 @t235 @t61 (not @t503)))) % 1.63/1.93 (assume @p272 (forall @t136 (or @t241 @t503 @t236 @t61))) % 1.63/1.93 (assume @p273 (forall @t136 (or @t345 @t503 @t491 @t490))) % 1.63/1.93 (assume @p274 (forall @t26 (or @t487 @t44 @t365))) % 1.63/1.93 (assume @p275 (forall @t504 (or @t18 @t232 @t203 (not @t493)))) % 1.63/1.93 (assume @p276 (forall (@list @t2 @t31 @t358) (or @t505 (= (tptp.hAPP @t353 (tptp.c_List_Ofoldl @t7 @t13 @t358 @t2 @t2)) (tptp.c_List_Ofoldl @t7 @t31 @t358 @t2 @t2))))) % 1.63/1.93 (assume @p277 (forall @t277 (or @t42 @t269 @t506))) % 1.63/1.93 (assume @p278 (forall @t208 (or @t42 @t220 @t506))) % 1.63/1.93 (assume @p279 (forall @t97 (or @t42 @t377 @t507))) % 1.63/1.93 (assume @p280 (forall @t97 (or @t42 @t377 @t275))) % 1.63/1.93 (assume @p281 (forall @t230 (or @t42 @t508 @t227))) % 1.63/1.93 (assume @p282 (forall @t230 (or @t42 @t508 @t225))) % 1.63/1.93 (assume @p283 (forall (@list @t2 @t4 @t31 @t5) (or @t42 @t280 @t509))) % 1.63/1.93 (assume @p284 (forall (@list @t2 @t5 @t31 @t4) (or @t42 @t278 @t509))) % 1.63/1.93 (assume @p285 (forall @t512 (or @t511 (not @t510)))) % 1.63/1.93 (assume @p286 (forall @t513 (or @t510 (not @t511)))) % 1.63/1.93 (assume @p287 (forall @t19 (or @t18 (tptp.c_HOL_Oord__class_Oless @t13 @t17 @t2) @t61))) % 1.63/1.93 (assume @p288 (forall @t379 (or @t42 @t94 @t92 (not @t481)))) % 1.63/1.93 (assume @p289 (forall @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t111 tptp.tc_nat) (tptp.hAPP @t244 @t47)))) % 1.63/1.93 (assume @p290 (forall @t26 (= (tptp.c_HOL_Otimes__class_Otimes @t112 @t16 tptp.tc_nat) (tptp.hAPP @t71 @t47)))) % 1.63/1.93 (assume @p291 (forall (@list @t48 @t49 @t137 @t83) (or @t517 @t516 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t51 @t515) @t48) @t49 tptp.tc_nat)))) @t514))) % 1.63/1.93 (assume @p292 (forall @t486 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t483) @t80) @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t80)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t81 @t80 @t23) @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 1.63/1.93 (assume @p293 (forall @t520 (or (tptp.c_InductTermi_OIT @t519) @t518))) % 1.63/1.93 (assume @p294 (forall (@list @t16 @t521 @t81 @t484) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t522 @t521 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t483 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 1.63/1.93 (assume @p295 (forall @t289 (= (tptp.c_Nat_Onat_Onat__case @t90 @t89 @t288 @t2) @t287))) % 1.63/1.93 (assume @p296 (tptp.c_InductTermi_OIT tptp.v_s____)) % 1.63/1.93 (assume @p297 (forall (@list @t85 @t523) (or (not (= @t88 @t524)) (= @t85 @t523)))) % 1.63/1.93 (assume @p298 (forall @t120 (or @t345 (not (tptp.c_HOL_Oord__class_Oless @t344 @t13 @t2))))) % 1.63/1.93 (assume @p299 (forall @t254 (or @t527 @t526 @t132))) % 1.63/1.93 (assume @p300 (forall @t131 (or @t525 (not @t527) @t132))) % 1.63/1.93 (assume @p301 (forall @t256 (or @t528 @t526 @t122))) % 1.63/1.93 (assume @p302 (forall @t131 (or @t525 (not @t528) @t122))) % 1.63/1.93 (assume @p303 (forall @t79 (or @t529 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t47 @t2) (tptp.c_HOL_Otimes__class_Otimes @t77 @t76 @t2))))) % 1.63/1.93 (assume @p304 (forall @t277 (or @t42 @t38 @t36 (not @t530)))) % 1.63/1.93 (assume @p305 (forall (@list @t2 @t531 @t29 @t31 @t28) (or @t107 @t106 (not (= (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t531 @t29 @t2)) @t109) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t531 @t28 @t2)) @t108))) @t533 @t532))) % 1.63/1.93 (assume @p306 (forall @t183 (or @t107 @t106 (not (= (tptp.hAPP @t536 @t238) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t5 @t102 @t2)) @t368))) @t535 @t534))) % 1.63/1.93 (assume @p307 (forall (@list @t5 @t1 @t4 @t102) (or (not (= (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t5 @t1 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t4 @t102 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t5 @t102 tptp.tc_nat)) @t537))) @t535 @t534))) % 1.63/1.93 (assume @p308 (forall (@list @t531 @t29 @t31 @t28) (or (not (= (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t531 @t29 tptp.tc_nat)) @t99) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_HOL_Otimes__class_Otimes @t531 @t28 tptp.tc_nat)) @t98))) @t533 @t532))) % 1.63/1.93 (assume @p309 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t112 @t111 tptp.tc_nat) @t24))) % 1.63/1.93 (assume @p310 (forall @t136 (or @t193 @t492 @t491 @t539))) % 1.63/1.93 (assume @p311 (forall @t136 (or @t193 @t492 @t541 @t490))) % 1.63/1.93 (assume @p312 (forall @t136 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t196 @t4 @t2) @t5) @t389))) % 1.63/1.93 (assume @p313 (forall @t502 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t195 @t4 @t2) @t5) @t389))) % 1.63/1.93 (assume @p314 (forall @t26 (or @t57 @t311 @t185))) % 1.63/1.93 (assume @p315 (forall @t26 (or @t57 @t543 @t315))) % 1.63/1.93 (assume @p316 (forall @t46 (or @t544 @t543 @t315))) % 1.63/1.93 (assume @p317 (forall @t194 (or @t345 (tptp.c_lessequals @t546 @t13 @t2)))) % 1.63/1.93 (assume @p318 (forall @t268 (or (= @t548 @t547) @t50))) % 1.63/1.93 (assume @p319 (forall @t512 (or (= @t551 @t549) @t50))) % 1.63/1.93 (assume @p320 (= (tptp.c_HOL_Otimes__class_Otimes @t74 @t74 tptp.tc_nat) @t74)) % 1.63/1.93 (assume @p321 (forall @t560 (or @t152 (= @t559 (tptp.c_HOL_Otimes__class_Otimes @t556 (tptp.c_HOL_Otimes__class_Otimes @t553 @t552 @t2) @t2))))) % 1.63/1.93 (assume @p322 (forall @t560 (or @t152 (= @t559 (tptp.c_HOL_Otimes__class_Otimes @t555 (tptp.c_HOL_Otimes__class_Otimes @t553 @t557 @t2) @t2))))) % 1.63/1.93 (assume @p323 (forall @t560 (or @t152 (= @t559 (tptp.c_HOL_Otimes__class_Otimes @t554 (tptp.c_HOL_Otimes__class_Otimes @t558 @t552 @t2) @t2))))) % 1.63/1.93 (assume @p324 (forall @t268 (or (= (tptp.c_HOL_Ominus__class_Ominus @t83 @t55 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t175 @t48 tptp.tc_nat)) @t50))) % 1.63/1.93 (assume @p325 (forall (@list @t48 @t16 @t49) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t48 @t16 tptp.tc_nat) @t49 tptp.tc_nat) @t517))) % 1.63/1.93 (assume @p326 (forall (@list @t20 @t80 @t484) (or (not (= @t561 @t485)) (= @t561 @t80)))) % 1.63/1.93 (assume @p327 (forall @t289 (= (tptp.c_Type_Otype_Otype__rec @t90 @t89 @t308 @t2) @t562))) % 1.63/1.93 (assume @p328 (forall (@list @t81 @t484 @t80) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t484 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t485) @t82))) % 1.63/1.93 (assume @p329 (= @t74 @t75)) % 1.63/1.93 (assume @p330 (forall @t120 (or @t207 @t205 @t272 @t218))) % 1.63/1.93 (assume @p331 (forall @t189 (not @t440))) % 1.63/1.93 (assume @p332 (forall @t114 (not (tptp.c_HOL_Oord__class_Oless @t16 @t16 tptp.tc_nat)))) % 1.63/1.93 (assume @p333 (forall @t286 (or @t211 @t437))) % 1.63/1.93 (assume @p334 (forall @t286 (or @t42 @t437))) % 1.63/1.93 (assume @p335 (forall @t286 (or @t207 @t437))) % 1.63/1.93 (assume @p336 (forall @t564 (or (not (tptp.c_lessequals @t83 @t563 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t563 @t83 tptp.tc_nat) @t49)))) % 1.63/1.93 (assume @p337 (forall @t286 (or @t42 (= (tptp.c_Orderings_Oord__class_Omin @t31 @t31 @t2) @t31)))) % 1.63/1.93 (assume @p338 (forall @t566 (or (= @t565 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t174 @t16))) @t324))) % 1.63/1.93 (assume @p339 (forall @t569 (tptp.c_Lambda_Obeta @t568 (tptp.c_Lambda_Osubst @t80 @t84 @t23)))) % 1.63/1.93 (assume @p340 (forall @t136 (or @t193 @t570 @t236 @t61))) % 1.63/1.93 (assume @p341 (forall @t46 (tptp.c_lessequals @t16 @t349 tptp.tc_nat))) % 1.63/1.93 (assume @p342 (forall @t46 (tptp.c_lessequals @t16 @t245 tptp.tc_nat))) % 1.63/1.93 (assume @p343 (forall @t264 (tptp.c_lessequals @t20 @t263 tptp.tc_nat))) % 1.63/1.93 (assume @p344 (forall @t46 (= (tptp.hAPP (tptp.hAPP @t51 @t571) @t20) (tptp.c_Orderings_Oord__class_Omax @t16 @t20 tptp.tc_nat)))) % 1.63/1.93 (assume @p345 (forall @t285 (or @t501 @t209 @t205 @t400))) % 1.63/1.93 (assume @p346 (forall @t120 (or @t42 @t400 @t209 @t205))) % 1.63/1.93 (assume @p347 (forall @t26 (or @t57 @t338 @t22))) % 1.63/1.93 (assume @p348 (forall @t46 (or @t315 @t311 @t57))) % 1.63/1.93 (assume @p349 (forall (@list @t137 @t16 @t20) (or (tptp.hBOOL (tptp.hAPP @t260 @t20)) @t315 @t57 @t311))) % 1.63/1.93 (assume @p350 (forall (@list @t29 @t31) (or (tptp.c_HOL_Oord__class_Oless @t29 @t31 tptp.tc_nat) @t318 @t400))) % 1.63/1.93 (assume @p351 (forall @t120 (or @t211 @t400 @t273 @t218))) % 1.63/1.93 (assume @p352 (forall @t285 (or @t42 @t209 @t205 @t400))) % 1.63/1.93 (assume @p353 (forall @t120 (or @t211 @t400 @t218 @t273))) % 1.63/1.93 (assume @p354 (forall @t285 (or @t42 @t209 @t400 @t205))) % 1.63/1.93 (assume @p355 (forall @t120 (or @t42 @t400 @t205 @t209))) % 1.63/1.93 (assume @p356 (forall @t136 (or @t34 @t177 (not @t572)))) % 1.63/1.93 (assume @p357 (forall @t136 (or @t34 @t572 @t178))) % 1.63/1.93 (assume @p358 (forall @t286 (or @t42 (= (tptp.c_Orderings_Oord__class_Omax @t31 @t31 @t2) @t31)))) % 1.63/1.93 (assume @p359 (forall @t35 (or @t42 @t530 @t37))) % 1.63/1.93 (assume @p360 (forall @t35 (or @t42 @t530 @t39))) % 1.63/1.93 (assume @p361 (forall @t143 (or (= (tptp.c_HOL_Ominus__class_Ominus @t450 @t449 tptp.tc_nat) @t24) @t448 @t447))) % 1.63/1.93 (assume @p362 (forall @t268 (= @t453 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t83 @t49 tptp.tc_nat) @t48 tptp.tc_nat)))) % 1.63/1.93 (assume @p363 (forall @t136 (or @t193 @t570 @t236 @t15))) % 1.63/1.93 (assume @p364 (forall @t136 (or @t193 @t570 @t203 @t61))) % 1.63/1.93 (assume @p365 (forall (@list @t5 @t1 @t4) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t5 @t1 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t4 @t1 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t1 @t5 tptp.tc_nat)) @t573))) % 1.63/1.93 (assume @p366 (forall @t136 (or @t345 @t574 @t541 @t15))) % 1.63/1.93 (assume @p367 (forall @t136 (or @t345 @t574 @t203 @t539))) % 1.63/1.93 (assume @p368 (forall @t136 (or @t575 @t574 @t541 @t15))) % 1.63/1.93 (assume @p369 (forall @t136 (or @t575 @t574 @t203 @t539))) % 1.63/1.93 (assume @p370 (forall @t502 (or @t575 (tptp.c_lessequals @t195 @t13 @t2) @t541 @t15))) % 1.63/1.93 (assume @p371 (forall @t118 (or @t345 (not (tptp.c_HOL_Oord__class_Oless @t576 @t13 @t2))))) % 1.63/1.93 (assume @p372 (forall @t201 (= (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t200 @t2) (tptp.hAPP (tptp.hAPP @t199 (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t198 @t2)) (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t197 @t2))))) % 1.63/1.93 (assume @p373 (forall @t147 (or @t580 @t312))) % 1.63/1.93 (assume @p374 (forall @t73 (or @t311 (not @t580)))) % 1.63/1.93 (assume @p375 (forall @t26 (or @t581 (= @t112 @t16) @t312))) % 1.63/1.93 (assume @p376 (forall @t26 (or @t22 @t317))) % 1.63/1.93 (assume @p377 (forall @t46 (or @t316 @t21))) % 1.63/1.93 (assume @p378 (forall @t100 (or (not (= (tptp.hAPP @t412 @t29) @t413)) @t533))) % 1.63/1.93 (assume @p379 (forall @t143 (or (not (= @t430 @t72)) @t57))) % 1.63/1.93 (assume @p380 (forall @t147 (or (not (= @t53 @t351)) @t57))) % 1.63/1.93 (assume @p381 (forall @t35 (or @t107 @t106 (not (= @t354 @t410)) @t533))) % 1.63/1.93 (assume @p382 (forall @t371 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t2)) @t583 @t582))) % 1.63/1.93 (assume @p383 (forall @t371 (or @t584 @t583 @t582))) % 1.63/1.93 (assume @p384 (forall @t68 (or @t584 (not (= @t348 @t347)) @t582))) % 1.63/1.93 (assume @p385 (forall @t35 (or @t67 (= (tptp.hAPP (tptp.hAPP @t7 @t33) @t28) (tptp.c_Orderings_Oord__class_Omin @t410 @t408 @t2))))) % 1.63/1.93 (assume @p386 (forall @t73 (or (tptp.c_lessequals @t20 (tptp.c_HOL_Ominus__class_Ominus @t349 @t49 tptp.tc_nat) tptp.tc_nat) @t448))) % 1.63/1.93 (assume @p387 (forall (@list @t292 @t293 @t31 @t29 @t148 @t294 @t291 @t290 @t2) (or (= (tptp.hAPP (tptp.hAPP @t292 @t587) @t148) (tptp.hAPP @t585 (tptp.hAPP (tptp.hAPP @t292 @t29) @t148))) @t295))) % 1.63/1.93 (assume @p388 (forall (@list @t293 @t31 @t294 @t29 @t28 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t586 @t589) (tptp.hAPP (tptp.hAPP @t294 @t587) (tptp.hAPP @t586 @t28))) @t295))) % 1.63/1.93 (assume @p389 (forall (@list @t293 @t31 @t29 @t294 @t292 @t291 @t290 @t2) (or (= @t587 (tptp.hAPP @t590 @t31)) @t295))) % 1.63/1.93 (assume @p390 (forall (@list @t293 @t31 @t29 @t28 @t294 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t586 (tptp.hAPP @t590 @t28)) (tptp.hAPP (tptp.hAPP @t293 @t587) @t28)) @t295))) % 1.63/1.93 (assume @p391 (forall (@list @t293 @t290 @t31 @t294 @t292 @t291 @t2) (or (= (tptp.hAPP @t591 @t31) @t31) @t295))) % 1.63/1.93 (assume @p392 (forall (@list @t293 @t291 @t31 @t294 @t292 @t290 @t2) (or (= (tptp.hAPP @t592 @t31) @t291) @t295))) % 1.63/1.93 (assume @p393 (forall (@list @t294 @t31 @t29 @t293 @t292 @t291 @t290 @t2) (or (= @t594 (tptp.hAPP @t588 @t31)) @t295))) % 1.63/1.93 (assume @p394 (forall (@list @t294 @t31 @t29 @t28 @t293 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t593 @t589) (tptp.hAPP (tptp.hAPP @t294 @t594) @t28)) @t295))) % 1.63/1.93 (assume @p395 (forall (@list @t294 @t291 @t31 @t293 @t292 @t290 @t2) (or (= (tptp.hAPP @t595 @t31) @t31) @t295))) % 1.63/1.93 (assume @p396 (forall @t602 (or (= @t601 (tptp.hAPP @t598 @t102)) @t295))) % 1.63/1.93 (assume @p397 (forall (@list @t294 @t5 @t1 @t293 @t292 @t291 @t290 @t2) (or (= @t597 (tptp.hAPP @t599 @t5)) @t295))) % 1.63/1.93 (assume @p398 (forall @t606 (or (= @t605 (tptp.hAPP @t598 @t4)) @t295))) % 1.63/1.93 (assume @p399 (forall @t602 (or (= @t601 (tptp.hAPP @t599 (tptp.hAPP @t596 @t102))) @t295))) % 1.63/1.93 (assume @p400 (forall @t606 (or (= @t605 (tptp.hAPP @t596 (tptp.hAPP @t607 @t1))) @t295))) % 1.63/1.93 (assume @p401 (forall (@list @t294 @t5 @t4 @t1 @t102 @t293 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t604 @t600) (tptp.hAPP @t598 (tptp.hAPP @t607 @t102))) @t295))) % 1.63/1.93 (assume @p402 (forall @t612 (or (= @t611 (tptp.hAPP @t609 (tptp.hAPP @t608 @t552))) @t295))) % 1.63/1.93 (assume @p403 (forall @t612 (or (= @t611 (tptp.hAPP @t613 @t552)) @t295))) % 1.63/1.93 (assume @p404 (forall @t617 (or (= @t616 (tptp.hAPP @t608 (tptp.hAPP @t614 @t554))) @t295))) % 1.63/1.93 (assume @p405 (forall @t617 (or (= @t616 (tptp.hAPP @t613 @t553)) @t295))) % 1.63/1.93 (assume @p406 (forall @t619 (or (= @t618 (tptp.hAPP @t609 (tptp.hAPP @t615 @t552))) @t295))) % 1.63/1.93 (assume @p407 (forall @t619 (or (= @t618 (tptp.hAPP @t608 (tptp.hAPP @t614 @t610))) @t295))) % 1.63/1.93 (assume @p408 (forall @t619 (or (= @t618 (tptp.hAPP @t613 (tptp.hAPP @t614 @t552))) @t295))) % 1.63/1.93 (assume @p409 (forall (@list @t293 @t5 @t290 @t294 @t292 @t291 @t2) (or (= (tptp.hAPP @t620 @t290) @t5) @t295))) % 1.63/1.93 (assume @p410 (forall (@list @t293 @t290 @t5 @t294 @t292 @t291 @t2) (or (= (tptp.hAPP @t591 @t5) @t5) @t295))) % 1.63/1.93 (assume @p411 (forall (@list @t293 @t5 @t291 @t294 @t292 @t290 @t2) (or (= (tptp.hAPP @t620 @t291) @t291) @t295))) % 1.63/1.93 (assume @p412 (forall (@list @t293 @t291 @t5 @t294 @t292 @t290 @t2) (or (= (tptp.hAPP @t592 @t5) @t291) @t295))) % 1.63/1.93 (assume @p413 (forall (@list @t293 @t294 @t5 @t4 @t1 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t622 @t1) (tptp.hAPP (tptp.hAPP @t294 (tptp.hAPP @t620 @t1)) (tptp.hAPP @t621 @t1))) @t295))) % 1.63/1.93 (assume @p414 (forall (@list @t293 @t5 @t4 @t294 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t620 @t4) (tptp.hAPP @t621 @t5)) @t295))) % 1.63/1.93 (assume @p415 (forall (@list @t294 @t5 @t291 @t293 @t292 @t290 @t2) (or (= (tptp.hAPP @t596 @t291) @t5) @t295))) % 1.63/1.93 (assume @p416 (forall (@list @t294 @t291 @t5 @t293 @t292 @t290 @t2) (or (= (tptp.hAPP @t595 @t5) @t5) @t295))) % 1.63/1.93 (assume @p417 (forall (@list @t294 @t20 @t293 @t290 @t292 @t291 @t2) (or (= (tptp.hAPP @t623 @t20) (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP (tptp.hAPP @t294 @t290) @t290)) @t20)) @t295))) % 1.63/1.93 (assume @p418 (forall (@list @t294 @t20 @t293 @t5 @t290 @t292 @t291 @t2) (or (= (tptp.hAPP @t623 @t625) @t624) @t295))) % 1.63/1.93 (assume @p419 (forall (@list @t294 @t293 @t5 @t20 @t290 @t292 @t291 @t2) (or (= (tptp.hAPP @t626 @t20) @t624) @t295))) % 1.63/1.93 (assume @p420 (forall (@list @t294 @t293 @t5 @t20 @t4 @t292 @t291 @t290 @t2) (or (= (tptp.hAPP @t626 (tptp.hAPP @t621 @t20)) (tptp.hAPP @t622 @t20)) @t295))) % 1.63/1.93 (assume @p421 (forall (@list @t137 @t90 @t89 @t627) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Type_Otype_Otype__case @t90 @t89 (tptp.c_Type_Otype_OAtom @t627) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t90 @t627)))))) % 1.63/1.93 (assume @p422 (forall @t496 (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Type_Otype_Otype__case @t90 @t89 @t308 tptp.t_a)))) @t628))) % 1.63/1.93 (assume @p423 (forall (@list @t81 @t521 @t80) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t521 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t80 @t521 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t629))) % 1.63/1.93 (assume @p424 (forall @t26 (or @t630 @t357 @t113))) % 1.63/1.93 (assume @p425 (forall @t26 (or @t630 @t463 @t355))) % 1.63/1.93 (assume @p426 (forall @t73 (= (tptp.c_HOL_Ominus__class_Ominus @t339 @t577 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t24 @t49 tptp.tc_nat)))) % 1.63/1.93 (assume @p427 (forall @t143 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t20 @t49 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t16 @t49 tptp.tc_nat) tptp.tc_nat) @t22))) % 1.63/1.93 (assume @p428 (forall @t26 (or @t367 @t312))) % 1.63/1.93 (assume @p429 (forall @t147 (or @t631 @t22))) % 1.63/1.93 (assume @p430 (forall @t73 (or @t21 (not @t631)))) % 1.63/1.93 (assume @p431 (forall @t120 (or @t345 @t632 @t399))) % 1.63/1.93 (assume @p432 (forall @t120 (or @t345 @t632 @t395))) % 1.63/1.93 (assume @p433 (forall (@list @t81) (or (tptp.c_InductTermi_OIT @t483) @t633))) % 1.63/1.93 (assume @p434 (forall (@list @t2 @t5 @t4 @t1 @t102) (or @t152 (= (tptp.hAPP @t416 @t420) (tptp.hAPP @t419 @t181))))) % 1.63/1.93 (assume @p435 (forall (@list @t123 @t80 @t84) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t635 @t80) (tptp.hAPP @t635 @t84)) @t634))) % 1.63/1.93 (assume @p436 (forall (@list @t80 @t123 @t84) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t341 @t123) @t214) @t634))) % 1.63/1.93 (assume @p437 (forall @t636 (= (tptp.c_Nat_Osize__class_Osize @t88 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_Nat_Osize__class_Osize @t85 tptp.tc_Lambda_OdB)) @t74)))) % 1.63/1.93 (assume @p438 (forall @t637 (or @t18 (not (tptp.c_HOL_Oord__class_Oless @t77 @t13 @t2))))) % 1.63/1.93 (assume @p439 (forall @t120 (or @t42 (= @t40 @t638)))) % 1.63/1.93 (assume @p440 (forall @t455 (or @t18 (not (= @t17 @t454)) @t534 @t44 @t203 @t15))) % 1.63/1.93 (assume @p441 (forall @t566 (or (= @t565 @t121) @t639))) % 1.63/1.93 (assume @p442 (forall @t114 (tptp.c_lessequals @t111 @t111 tptp.tc_nat))) % 1.63/1.93 (assume @p443 (forall (@list @t83 @t49 @t31 @t2) (= (tptp.c_List_Odrop @t83 (tptp.c_List_Oreplicate @t49 @t31 @t2) @t2) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t49 @t83 tptp.tc_nat) @t31 @t2)))) % 1.63/1.93 (assume @p444 (forall @t35 (or @t42 (tptp.c_lessequals @t300 @t301 @t2)))) % 1.63/1.93 (assume @p445 (forall (@list @t16 @t80 @t84 @t49) (= (tptp.c_Lambda_Oliftn @t16 @t342 @t49) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t16 @t80 @t49)) @t384)))) % 1.63/1.93 (assume @p446 (forall @t640 (= (tptp.c_nat_Onat__size @t288) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_nat_Onat__size @t157)) @t74)))) % 1.63/1.93 (assume @p447 (forall @t120 (or @t42 (= (tptp.c_Orderings_Oord__class_Omax @t31 @t33 @t2) @t31)))) % 1.63/1.93 (assume @p448 (forall @t642 (tptp.c_lessequals @t20 @t641 tptp.tc_nat))) % 1.63/1.93 (assume @p449 (forall (@list @t84 @t49 @t80) (= (tptp.c_Lambda_Osubst @t340 @t80 @t49) @t84))) % 1.63/1.93 (assume @p450 (forall @t473 (or @t345 @t469 @t474 @t375))) % 1.63/1.93 (assume @p451 (forall @t68 (or @t345 @t643 @t232 @t375))) % 1.63/1.93 (assume @p452 (forall @t473 (or @t345 @t469 @t474 @t370))) % 1.63/1.93 (assume @p453 (forall @t68 (or @t345 @t643 @t232 @t370))) % 1.63/1.93 (assume @p454 (forall @t645 (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t644 tptp.tc_nat) @t83) (not (tptp.c_lessequals @t83 @t16 tptp.tc_nat))))) % 1.63/1.93 (assume @p455 (forall @t564 (or (= (tptp.c_Lambda_Olift @t121 @t49) @t121) @t639))) % 1.63/1.93 (assume @p456 (forall (@list @t81 @t83 @t80) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t81 @t83) (tptp.c_Lambda_Olift @t80 @t83)) @t82))) % 1.63/1.93 (assume @p457 (forall @t650 (or @t649 (= @t197 @t646)))) % 1.63/1.93 (assume @p458 (forall @t650 (or @t649 (= @t198 @t647)))) % 1.63/1.93 (assume @p459 (forall @t183 (or @t652 @t651 @t234 @t233))) % 1.63/1.93 (assume @p460 (forall @t176 (or (tptp.c_HOL_Oord__class_Oless @t175 @t173 tptp.tc_nat) @t350 @t325))) % 1.63/1.93 (assume @p461 (forall @t401 (or @t434 @t319))) % 1.63/1.93 (assume @p462 (forall @t26 (or @t21 @t312))) % 1.63/1.93 (assume @p463 (forall @t120 (or @t211 @t217 @t206))) % 1.63/1.93 (assume @p464 (forall @t120 (or @t207 @t217 @t206))) % 1.63/1.93 (assume @p465 (forall @t656 (or @t655 @t654))) % 1.63/1.93 (assume @p466 (forall @t656 (or @t655 @t629))) % 1.63/1.93 (assume @p467 (forall (@list @t80 @t484 @t81) (or (not (= @t485 @t483)) (= @t80 @t483)))) % 1.63/1.93 (assume @p468 (forall (@list @t20 @t48 @t49) (or (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t56 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t430 @t54 tptp.tc_nat)) @t50))) % 1.63/1.93 (assume @p469 (forall @t136 (or @t34 @t232 (not @t657)))) % 1.63/1.93 (assume @p470 (forall @t136 (or @t34 @t657 @t233))) % 1.63/1.93 (assume @p471 (forall @t79 (or @t18 @t658 @t312))) % 1.63/1.93 (assume @p472 (forall @t79 (or @t18 @t311 (not @t658)))) % 1.63/1.93 (assume @p473 (forall @t114 (tptp.c_HOL_Oord__class_Oless @t16 @t111 tptp.tc_nat))) % 1.63/1.93 (assume @p474 (forall @t189 @t187)) % 1.63/1.93 (assume @p475 (forall @t267 (or (tptp.c_HOL_Oord__class_Oless @t659 @t49 tptp.tc_nat) @t517 @t325))) % 1.63/1.93 (assume @p476 (forall @t393 (or @t67 @t660 @t178))) % 1.63/1.93 (assume @p477 (forall @t371 (or @t67 @t177 (not @t660)))) % 1.63/1.93 (assume @p478 (forall @t473 (or @t67 @t662 @t178))) % 1.63/1.93 (assume @p479 (forall @t371 (or @t67 @t177 (not @t662)))) % 1.63/1.93 (assume @p480 (forall @t393 (or @t182 @t660 @t178))) % 1.63/1.93 (assume @p481 (forall @t473 (or @t182 @t662 @t178))) % 1.63/1.93 (assume @p482 (forall @t267 (or (tptp.c_lessequals @t175 @t452 tptp.tc_nat) @t122))) % 1.63/1.93 (assume @p483 (forall @t73 (or @t21 (not @t663)))) % 1.63/1.93 (assume @p484 (forall @t147 (or @t663 @t22))) % 1.63/1.93 (assume @p485 (forall @t664 (or @t122 (= @t48 (tptp.hAPP (tptp.hAPP @t51 @t124) @t83))))) % 1.63/1.93 (assume @p486 (forall @t46 (or @t665 @t338))) % 1.63/1.93 (assume @p487 (forall @t26 (or (= (tptp.hAPP (tptp.hAPP @t51 @t24) @t16) @t20) @t338))) % 1.63/1.93 (assume @p488 (forall (@list @t293 @t31 @t292 @t148 @t294 @t291 @t290 @t2) (or (= @t667 @t666) @t295))) % 1.63/1.93 (assume @p489 (forall (@list @t293 @t292 @t31 @t148 @t294 @t291 @t290 @t2) (or (= (tptp.hAPP @t585 @t31) @t666) @t295))) % 1.63/1.93 (assume @p490 (forall (@list @t292 @t31 @t148 @t293 @t294 @t291 @t290 @t2) (or (= @t666 @t667) @t295))) % 1.63/1.93 (assume @p491 (forall (@list @t292 @t31 @t16 @t293 @t294 @t291 @t290 @t2) (or (= (tptp.hAPP @t296 @t111) (tptp.hAPP @t586 (tptp.hAPP @t296 @t16))) @t295))) % 1.63/1.93 (assume @p492 (forall @t73 (or @t311 @t467))) % 1.63/1.93 (assume @p493 (forall @t73 (or @t311 @t465))) % 1.63/1.93 (assume @p494 (forall @t268 (or (= @t547 @t548) @t50))) % 1.63/1.93 (assume @p495 (forall @t513 (or (= @t549 @t551) @t50))) % 1.63/1.93 (assume @p496 (forall (@list @t16 @t20 @t668 @t2) (= (tptp.c_List_Odrop @t16 (tptp.c_List_Odrop @t20 @t668 @t2) @t2) (tptp.c_List_Odrop @t349 @t668 @t2)))) % 1.63/1.93 (assume @p497 (forall @t504 (or @t18 @t177 @t203 (not (tptp.c_lessequals @t161 @t669 @t2))))) % 1.63/1.93 (assume @p498 (forall @t120 (or @t670 (= (tptp.c_HOL_Otimes__class_Otimes @t31 @t108 @t2) @t108)))) % 1.63/1.93 (assume @p499 (forall @t243 (or @t18 @t671 @t44))) % 1.63/1.93 (assume @p500 (forall @t243 (or @t18 @t43 (not @t671)))) % 1.63/1.93 (assume @p501 (forall @t183 (or @t241 @t240 @t475 @t15 @t179 @t233))) % 1.63/1.93 (assume @p502 (forall @t183 (or @t241 @t240 @t237 @t61 @t234 @t178))) % 1.63/1.93 (assume @p503 (forall @t147 (or @t672 @t70))) % 1.63/1.93 (assume @p504 (forall @t136 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t674 @t673 @t2) @t13)))) % 1.63/1.93 (assume @p505 (forall @t26 (= (tptp.c_Divides_Odiv__class_Odiv @t676 @t675 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p506 (forall @t91 (= (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t88 @t2) (tptp.hAPP @t87 (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t85 @t2))))) % 1.63/1.93 (assume @p507 (forall @t169 (or @t152 (= @t166 @t168)))) % 1.63/1.93 (assume @p508 (forall @t169 (or @t152 (= (tptp.c_HOL_Otimes__class_Otimes @t165 @t31 @t2) @t168)))) % 1.63/1.93 (assume @p509 (forall @t502 (or @t345 @t202 @t540 @t677))) % 1.63/1.93 (assume @p510 (forall @t136 (or @t345 @t538 @t540 @t677))) % 1.63/1.93 (assume @p511 (forall @t502 (or @t345 @t202 @t14 @t677))) % 1.63/1.93 (assume @p512 (forall @t136 (or @t345 @t538 @t14 @t677))) % 1.63/1.93 (assume @p513 (forall @t502 (or @t241 (tptp.c_HOL_Oord__class_Oless @t195 @t13 @t2) @t491 @t61))) % 1.63/1.93 (assume @p514 (forall @t136 (or @t241 @t678 @t491 @t61))) % 1.63/1.93 (assume @p515 (forall @t136 (or @t241 @t678 @t236 @t490))) % 1.63/1.93 (assume @p516 (forall @t26 (or @t21 @t314))) % 1.63/1.93 (assume @p517 (forall @t26 (or @t679 @t22))) % 1.63/1.93 (assume @p518 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t16 @t47 tptp.tc_nat) @t478 @t477))) % 1.63/1.93 (assume @p519 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t16 @t45 tptp.tc_nat) @t478 @t477))) % 1.63/1.93 (assume @p520 (forall @t114 (not (tptp.c_lessequals @t111 @t16 tptp.tc_nat)))) % 1.63/1.93 (assume @p521 (forall @t73 (or @t311 (not @t680) @t448 @t447))) % 1.63/1.93 (assume @p522 (forall @t143 (or @t680 @t312 @t448 @t447))) % 1.63/1.93 (assume @p523 (forall @t68 (or @t18 @t65 @t446 @t61))) % 1.63/1.93 (assume @p524 (forall (@list @t48 @t123 @t83) (or (= (tptp.c_Lambda_Osubst @t682 @t123 @t83) @t682) @t681))) % 1.63/1.93 (assume @p525 (forall (@list @t137 @t90 @t89 @t86 @t85) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t88 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t87))))) % 1.63/1.93 (assume @p526 (forall (@list @t137 @t90 @t89 @t86 @t456) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 (tptp.c_Lambda_OdB_OAbs @t456) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t86 @t456)))))) % 1.63/1.93 (assume @p527 (forall (@list @t81 @t83 @t48) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t81 @t121 @t48)) @t633))) % 1.63/1.93 (assume @p528 (forall @t118 (or @t117 @t683 @t539))) % 1.63/1.93 (assume @p529 (forall @t118 (or @t117 @t538 (not @t683)))) % 1.63/1.93 (assume @p530 (forall @t664 (not (tptp.c_HOL_Oord__class_Oless @t323 @t83 tptp.tc_nat)))) % 1.63/1.93 (assume @p531 (forall (@list @t48 @t83) (not (tptp.c_HOL_Oord__class_Oless @t550 @t83 tptp.tc_nat)))) % 1.63/1.93 (assume @p532 (forall @t79 (or (not (tptp.class_Ring__and__Field_Oring__1 @t2)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t24 @t2) (tptp.c_HOL_Ominus__class_Ominus @t77 @t76 @t2)) @t338))) % 1.63/1.93 (assume @p533 (forall (@list @t5 @t4 @t1) (= (tptp.c_Divides_Odiv__class_Odiv @t5 @t537 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Divides_Odiv__class_Odiv @t5 @t4 tptp.tc_nat) @t1 tptp.tc_nat)))) % 1.63/1.93 (assume @p534 (forall @t393 (or @t332 @t476 @t684 @t304))) % 1.63/1.93 (assume @p535 (forall @t473 (or @t332 @t471 @t684 @t304))) % 1.63/1.93 (assume @p536 (forall @t393 (or @t685 @t476 @t237 @t178))) % 1.63/1.93 (assume @p537 (forall @t473 (or @t685 @t471 @t237 @t178))) % 1.63/1.93 (assume @p538 (forall @t473 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t2)) @t471 @t237 @t178))) % 1.63/1.93 (assume @p539 (forall (@list @t2 @t31 @t81 @t1 @t102) (or @t107 @t106 (not (= (tptp.hAPP @t353 (tptp.c_HOL_Otimes__class_Otimes @t81 @t1 @t2)) (tptp.hAPP @t353 (tptp.c_HOL_Otimes__class_Otimes @t81 @t102 @t2)))) @t535 (= @t81 @t13)))) % 1.63/1.93 (assume @p540 (forall (@list @t31 @t81 @t1 @t102) (or (not (= (tptp.hAPP @t412 (tptp.c_HOL_Otimes__class_Otimes @t81 @t1 tptp.tc_nat)) (tptp.hAPP @t412 (tptp.c_HOL_Otimes__class_Otimes @t81 @t102 tptp.tc_nat)))) @t535 (= @t81 @t23)))) % 1.63/1.93 (assume @p541 (forall @t120 (or @t345 @t686 @t395))) % 1.63/1.93 (assume @p542 (forall @t120 (or @t345 @t686 @t399))) % 1.63/1.93 (assume @p543 (forall @t26 (or @t394 @t338 @t44))) % 1.63/1.93 (assume @p544 (forall @t267 (or @t688 (not @t687)))) % 1.63/1.93 (assume @p545 (forall @t268 (or @t687 (not @t688)))) % 1.63/1.93 (assume @p546 (forall @t114 (not (= @t111 @t16)))) % 1.63/1.93 (assume @p547 (forall @t114 (not (= @t16 @t111)))) % 1.63/1.93 (assume @p548 (forall @t393 (or @t652 @t689 @t233))) % 1.63/1.93 (assume @p549 (forall @t393 (or @t67 @t689 @t233))) % 1.63/1.93 (assume @p550 (forall @t371 (or @t67 @t232 (not @t689)))) % 1.63/1.93 (assume @p551 (forall @t473 (or @t652 @t690 @t233))) % 1.63/1.93 (assume @p552 (forall @t473 (or @t67 @t690 @t233))) % 1.63/1.93 (assume @p553 (forall @t371 (or @t67 @t232 (not @t690)))) % 1.63/1.93 (assume @p554 (forall @t267 (or (tptp.c_HOL_Oord__class_Oless @t175 @t452 tptp.tc_nat) @t325))) % 1.63/1.93 (assume @p555 (forall @t73 (or @t311 (not @t691)))) % 1.63/1.93 (assume @p556 (forall @t147 (or @t691 @t312))) % 1.63/1.93 (assume @p557 (forall @t26 (= (tptp.c_Orderings_Oord__class_Omin @t112 @t111 tptp.tc_nat) (tptp.c_Suc @t692)))) % 1.63/1.93 (assume @p558 (forall @t26 (or (= @t20 @t111) @t21 (not @t679)))) % 1.63/1.93 (assume @p559 (forall @t189 (or @t440 @t187))) % 1.63/1.93 (assume @p560 (forall @t26 (or @t312 @t543))) % 1.63/1.93 (assume @p561 (forall @t46 (or @t542 @t311))) % 1.63/1.93 (assume @p562 (forall @t143 (or @t464 @t312 @t70))) % 1.63/1.93 (assume @p563 (forall @t147 (or @t466 @t312 @t70))) % 1.63/1.93 (assume @p564 (forall @t694 (or (tptp.c_HOL_Oord__class_Oless @t515 @t693 tptp.tc_nat) @t70 @t325))) % 1.63/1.93 (assume @p565 (forall @t267 (or (tptp.c_HOL_Oord__class_Oless @t696 @t695 tptp.tc_nat) @t70 @t325))) % 1.63/1.93 (assume @p566 (forall @t73 (or @t311 @t467 @t70))) % 1.63/1.93 (assume @p567 (forall @t68 (or @t345 @t643 @t375 @t470))) % 1.63/1.93 (assume @p568 (forall @t473 (or @t345 @t374 @t697 @t470))) % 1.63/1.93 (assume @p569 (forall @t371 (or @t345 @t232 @t375 @t475))) % 1.63/1.93 (assume @p570 (forall @t473 (or @t345 @t374 @t233 @t475))) % 1.63/1.93 (assume @p571 (forall @t473 (or @t345 @t374 @t470 @t697))) % 1.63/1.93 (assume @p572 (forall @t473 (or @t241 @t374 @t475 @t233))) % 1.63/1.93 (assume @p573 (forall @t393 (or @t345 @t369 @t470 @t697))) % 1.63/1.93 (assume @p574 (forall @t393 (or @t241 @t369 @t475 @t233))) % 1.63/1.93 (assume @p575 (forall @t393 (or @t345 @t369 @t233 @t475))) % 1.63/1.93 (assume @p576 (forall @t393 (or @t345 @t369 @t697 @t470))) % 1.63/1.93 (assume @p577 (forall @t473 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t2)) @t374 @t475 @t233))) % 1.63/1.93 (assume @p578 (forall @t35 (or @t67 (= (tptp.hAPP (tptp.hAPP @t7 @t40) @t28) (tptp.c_Orderings_Oord__class_Omax @t410 @t408 @t2))))) % 1.63/1.93 (assume @p579 (forall @t520 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t213 @t121)) @t518))) % 1.63/1.93 (assume @p580 (forall @t455 (or @t18 (not (= @t161 @t669)) @t534 @t203 @t15))) % 1.63/1.93 (assume @p581 (forall @t473 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t373 @t372 @t2) @t390) @t698))) % 1.63/1.93 (assume @p582 (forall @t393 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t239 @t368 @t2) @t390) @t698))) % 1.63/1.93 (assume @p583 (forall @t147 (or @t672 @t516))) % 1.63/1.93 (assume @p584 (forall @t176 (or (tptp.c_lessequals @t696 (tptp.c_HOL_Otimes__class_Otimes @t48 @t170 tptp.tc_nat) tptp.tc_nat) @t171 @t122))) % 1.63/1.93 (assume @p585 (forall @t642 (tptp.c_lessequals @t20 (tptp.c_HOL_Otimes__class_Otimes @t20 @t641 tptp.tc_nat) tptp.tc_nat))) % 1.63/1.93 (assume @p586 (forall @t183 (or @t700 @t699 @t237 @t203 @t179 @t178))) % 1.63/1.93 (assume @p587 (forall @t183 (or @t700 @t699 @t237 @t15 @t179 @t178))) % 1.63/1.93 (assume @p588 (forall @t35 (or @t42 (= (tptp.c_Orderings_Oord__class_Omax @t40 @t28 @t2) @t701)))) % 1.63/1.93 (assume @p589 (forall @t35 (or @t42 (= @t701 (tptp.c_Orderings_Oord__class_Omax @t29 @t702 @t2))))) % 1.63/1.93 (assume @p590 (forall (@list @t2 @t5 @t20 @t4) (or @t152 (= (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t5 @t20 @t2)) (tptp.c_HOL_Otimes__class_Otimes @t4 @t20 @t2)) (tptp.c_HOL_Otimes__class_Otimes @t204 @t20 @t2))))) % 1.63/1.93 (assume @p591 (forall @t46 (or @t44 (tptp.c_HOL_Oord__class_Oless @t20 (tptp.c_HOL_Otimes__class_Otimes @t16 (tptp.c_Suc @t119) tptp.tc_nat) tptp.tc_nat)))) % 1.63/1.93 (assume @p592 (forall (@list @t80 @t84 @t16 @t484) (not (= @t568 @t703)))) % 1.63/1.93 (assume @p593 (forall @t243 (or @t18 (tptp.c_lessequals @t13 @t76 @t2)))) % 1.63/1.93 (assume @p594 (forall @t637 (or @t18 (tptp.c_lessequals @t13 @t77 @t2)))) % 1.63/1.93 (assume @p595 (forall @t194 (or @t345 (not (tptp.c_HOL_Oord__class_Oless @t13 @t546 @t2))))) % 1.63/1.93 (assume @p596 (forall @t569 (or (tptp.c_Lambda_Obeta @t567 @t704) @t634))) % 1.63/1.93 (assume @p597 (forall @t120 (or @t42 (= (tptp.c_Orderings_Oord__class_Omax @t31 @t40 @t2) @t40)))) % 1.63/1.93 (assume @p598 (forall @t642 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t74 tptp.tc_nat) @t20))) % 1.63/1.93 (assume @p599 (forall @t136 (or @t345 @t538 @t14 @t706))) % 1.63/1.93 (assume @p600 (forall @t502 (or @t345 @t540 @t14 @t706))) % 1.63/1.93 (assume @p601 (forall @t136 (or @t345 @t538 @t202 @t706))) % 1.63/1.93 (assume @p602 (forall @t502 (or @t345 @t540 @t202 @t706))) % 1.63/1.93 (assume @p603 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t245 @t16 tptp.tc_nat) @t20))) % 1.63/1.93 (assume @p604 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t349 @t16 tptp.tc_nat) @t20))) % 1.63/1.93 (assume @p605 (forall @t136 (or @t135 (= (tptp.c_HOL_Ominus__class_Ominus @t204 @t4 @t2) @t5)))) % 1.63/1.93 (assume @p606 (forall @t289 (= (tptp.c_Type_Otype_Otype__case @t90 @t89 @t308 @t2) @t562))) % 1.63/1.93 (assume @p607 (forall @t183 (or @t652 @t651 @t234 @t178))) % 1.63/1.93 (assume @p608 (forall @t183 (or @t652 @t651 @t179 @t233))) % 1.63/1.93 (assume @p609 (forall (@list @t31 @t16) (or (tptp.c_HOL_Oord__class_Oless @t186 @t111 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t31 @t16 tptp.tc_nat))))) % 1.63/1.93 (assume @p610 (forall @t26 (or @t311 (not @t707)))) % 1.63/1.93 (assume @p611 (forall @t26 (or @t707 @t312))) % 1.63/1.93 (assume @p612 (forall @t26 (or @t423 @t44))) % 1.63/1.93 (assume @p613 (forall @t26 (or @t423 @t365))) % 1.63/1.93 (assume @p614 (forall @t118 (or @t117 @t60 (not @t708)))) % 1.63/1.93 (assume @p615 (forall @t118 (or @t117 @t708 @t61))) % 1.63/1.93 (assume @p616 (forall (@list @t212 @t3 @t84) (or (= @t212 (tptp.c_Type_Otype_OFun @t711 @t710)) @t709))) % 1.63/1.93 (assume @p617 (forall @t19 (or @t716 @t715 @t714 @t164 @t713 @t712))) % 1.63/1.93 (assume @p618 (forall @t19 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t2)) @t713 @t712))) % 1.63/1.93 (assume @p619 (forall @t286 (or @t152 (= (tptp.c_HOL_Otimes__class_Otimes @t13 @t31 @t2) @t13)))) % 1.63/1.93 (assume @p620 (forall @t118 (or @t714 @t717))) % 1.63/1.93 (assume @p621 (forall @t118 (or @t714 @t718))) % 1.63/1.93 (assume @p622 (forall (@list @t2 @t4) (or @t719 (= @t673 @t13)))) % 1.63/1.93 (assume @p623 (forall @t118 (or @t719 @t718))) % 1.63/1.93 (assume @p624 (forall @t118 (or @t152 @t718))) % 1.63/1.93 (assume @p625 (forall @t118 (or @t152 @t717))) % 1.63/1.93 (assume @p626 (forall @t136 (or @t715 @t720 @t712 @t389))) % 1.63/1.93 (assume @p627 (forall @t136 (or @t715 @t720 @t389 @t712))) % 1.63/1.93 (assume @p628 (forall @t136 (or @t719 @t720 @t389 @t712))) % 1.63/1.93 (assume @p629 (forall @t118 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t5 @t13 @t2) @t13)))) % 1.63/1.93 (assume @p630 (forall @t118 (or @t392 (= (tptp.c_Divides_Odiv__class_Odiv @t13 @t5 @t2) @t13)))) % 1.63/1.93 (assume @p631 (forall @t118 (or @t117 (not (= @t115 @t13)) @t712))) % 1.63/1.93 (assume @p632 (forall @t286 (or @t107 @t106 @t721))) % 1.63/1.93 (assume @p633 (forall @t118 (or @t135 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t2) @t13)))) % 1.63/1.93 (assume @p634 (forall @t118 (or @t135 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t13 @t2) @t5)))) % 1.63/1.93 (assume @p635 (forall @t286 (or @t135 @t721))) % 1.63/1.93 (assume @p636 (forall @t286 (or @t411 @t721))) % 1.63/1.93 (assume @p637 (forall (@list @t2 @t31 @t5) (or @t107 @t106 (not (= @t31 (tptp.hAPP @t353 @t5))) @t712))) % 1.63/1.93 (assume @p638 (forall @t194 (or @t117 @t191))) % 1.63/1.93 (assume @p639 (forall @t120 (or @t107 @t106 (not (= @t722 @t13)) @t400))) % 1.63/1.93 (assume @p640 (forall @t136 (or @t135 @t723 @t534))) % 1.63/1.93 (assume @p641 (forall @t136 (or @t411 @t723 @t534))) % 1.63/1.93 (assume @p642 (forall @t286 (or @t152 (= (tptp.hAPP @t190 @t31) @t31)))) % 1.63/1.93 (assume @p643 (forall @t118 (or @t66 @t724))) % 1.63/1.93 (assume @p644 (forall @t286 (or @t107 @t106 (= @t31 (tptp.hAPP @t353 @t13))))) % 1.63/1.93 (assume @p645 (forall @t118 (or @t66 @t725))) % 1.63/1.93 (assume @p646 (forall @t118 (or @t505 @t724))) % 1.63/1.93 (assume @p647 (forall @t118 (or @t505 @t725))) % 1.63/1.93 (assume @p648 (forall @t118 (or @t152 @t725))) % 1.63/1.93 (assume @p649 (forall @t118 (or @t152 @t724))) % 1.63/1.93 (assume @p650 (tptp.c_lessequals @t23 @t23 tptp.tc_nat)) % 1.63/1.93 (assume @p651 (forall @t26 (= @t726 (tptp.c_HOL_Otimes__class_Otimes @t16 @t23 tptp.tc_nat)))) % 1.63/1.93 (assume @p652 (forall @t26 (= @t676 @t675))) % 1.63/1.93 (assume @p653 (not (tptp.c_HOL_Oord__class_Oless @t23 @t23 tptp.tc_nat))) % 1.63/1.93 (assume @p654 (forall @t26 (or @t426 (not @t428) (not @t429)))) % 1.63/1.93 (assume @p655 (forall @t97 (or @t211 @t274 @t507 @t273))) % 1.63/1.93 (assume @p656 (forall @t97 (or @t211 @t92 @t507 @t210))) % 1.63/1.93 (assume @p657 (forall @t97 (or @t211 @t92 @t95 @t273))) % 1.63/1.93 (assume @p658 (forall @t136 (or @t193 (tptp.c_lessequals @t204 @t13 @t2) @t541 @t539))) % 1.63/1.93 (assume @p659 (forall @t208 (or @t207 @t220 @t270 @t218))) % 1.63/1.93 (assume @p660 (forall @t114 (tptp.c_lessequals @t16 @t16 tptp.tc_nat))) % 1.63/1.93 (assume @p661 (forall @t267 (or (tptp.c_lessequals @t83 @t49 tptp.tc_nat) (not (tptp.c_lessequals @t48 @t49 tptp.tc_nat)) @t122))) % 1.63/1.93 (assume @p662 (forall @t189 @t188)) % 1.63/1.93 (assume @p663 (forall @t286 (or @t211 @t438))) % 1.63/1.93 (assume @p664 (forall @t286 (or @t207 @t438))) % 1.63/1.93 (assume @p665 (forall @t208 (or @t207 @t36 @t39 @t218))) % 1.63/1.93 (assume @p666 (forall @t208 (or @t207 @t36 @t270 @t206))) % 1.63/1.93 (assume @p667 (forall (@list @t2 @t5 @t4 @t102 @t1) (or @t34 (tptp.c_lessequals @t5 @t181 @t2) @t179 (not (tptp.c_lessequals @t5 @t414 @t2))))) % 1.63/1.93 (assume @p668 (forall (@list @t137 @t90 @t89 @t86 @t198 @t197) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t200 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t199))))) % 1.63/1.93 (assume @p669 (forall (@list @t137 @t90 @t89 @t86 @t727 @t627) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t727) @t627) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP (tptp.hAPP @t89 @t727) @t627)))))) % 1.63/1.93 (assume @p670 (forall @t729 (or @t728 @t654))) % 1.63/1.93 (assume @p671 (forall @t729 (or @t728 @t57))) % 1.63/1.93 (assume @p672 (forall (@list @t523 @t198 @t197) (not (= @t524 @t200)))) % 1.63/1.93 (assume @p673 (forall (@list @t20 @t83 @t16) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t20 @t83 tptp.tc_nat) @t644 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t692 @t83 tptp.tc_nat)))) % 1.63/1.93 (assume @p674 (forall (@list @t137 @t5 @t4) (or @t154 @t573 (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_HOL_Ominus__class_Ominus @t5 @t4 tptp.tc_nat))))))) % 1.63/1.93 (assume @p675 (= @t445 @t74)) % 1.63/1.93 (assume @p676 (forall @t286 (or @t670 (= @t343 @t31)))) % 1.63/1.93 (assume @p677 (forall (@list @t137 @t83 @t16) (or (not @t514) (not (tptp.c_HOL_Oord__class_Oless @t83 @t382 tptp.tc_nat)) @t381 @t154))) % 1.63/1.93 (assume @p678 (forall @t183 (or @t241 @t240 @t237 @t15 @t234 @t233))) % 1.63/1.93 (assume @p679 (forall @t46 (or @t544 @t543 @t22))) % 1.63/1.93 (assume @p680 (forall (@list @t198 @t197 @t523) (not (= @t200 @t524)))) % 1.63/1.93 (assume @p681 (forall @t267 (or (tptp.c_lessequals @t696 @t695 tptp.tc_nat) @t122))) % 1.63/1.93 (assume @p682 (forall @t694 (or (tptp.c_lessequals @t515 @t693 tptp.tc_nat) @t122))) % 1.63/1.93 (assume @p683 (forall @t147 (or @t146 @t22))) % 1.63/1.93 (assume @p684 (forall @t143 (or @t142 @t22))) % 1.63/1.93 (assume @p685 (forall @t26 (or @t311 (not @t730)))) % 1.63/1.93 (assume @p686 (forall @t46 (or @t730 @t312))) % 1.63/1.93 (assume @p687 (forall @t26 (or @t311 (not @t581)))) % 1.63/1.93 (assume @p688 (forall @t26 (or @t184 @t312))) % 1.63/1.93 (assume @p689 (forall @t194 (or @t345 (= @t546 @t13)))) % 1.63/1.93 (assume @p690 (forall @t473 (or @t345 @t469 @t232 @t370))) % 1.63/1.93 (assume @p691 (forall @t68 (or @t345 @t643 @t474 @t370))) % 1.63/1.93 (assume @p692 (forall @t473 (or @t345 @t469 @t232 @t375))) % 1.63/1.93 (assume @p693 (forall @t68 (or @t345 @t643 @t474 @t375))) % 1.63/1.93 (assume @p694 (forall (@list @t84 @t123 @t80 @t49) (= (tptp.c_Lambda_Osubst @t214 @t80 @t49) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t84 @t80 @t49)) (tptp.c_Lambda_Osubst @t123 @t80 @t49))))) % 1.63/1.93 (assume @p695 (forall @t147 (or (not (= @t579 @t578)) @t57))) % 1.63/1.93 (assume @p696 (forall @t114 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t16 @t74 tptp.tc_nat)) @t16) @t44))) % 1.63/1.93 (assume @p697 (forall @t79 (or @t529 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t245 @t2) (tptp.hAPP (tptp.hAPP @t7 @t77) @t76))))) % 1.63/1.93 (assume @p698 (forall @t26 (or (tptp.c_HOL_Oord__class_Oless @t24 @t20 tptp.tc_nat) @t365 @t44))) % 1.63/1.93 (assume @p699 (forall @t35 (or @t42 (tptp.c_lessequals @t732 @t731 @t2)))) % 1.63/1.93 (assume @p700 (forall @t735 (or @t34 @t734 @t733 @t273))) % 1.63/1.93 (assume @p701 (forall @t735 (or @t34 @t734 @t272 (not @t733)))) % 1.63/1.93 (assume @p702 (forall @t735 (or @t34 @t734 @t736 @t206))) % 1.63/1.93 (assume @p703 (forall @t735 (or @t34 @t734 @t205 (not @t736)))) % 1.63/1.93 (assume @p704 (forall @t504 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t2)) (= (tptp.c_Power_Opower__class_Opower @t196 @t16 @t2) (tptp.c_HOL_Otimes__class_Otimes @t17 @t454 @t2))))) % 1.63/1.93 (assume @p705 (forall (@list @t2 @t31 @t29 @t148) (or @t152 (= (tptp.c_Power_Opower__class_Opower @t108 @t148 @t2) (tptp.c_HOL_Otimes__class_Otimes @t165 (tptp.c_Power_Opower__class_Opower @t29 @t148 @t2) @t2))))) % 1.63/1.93 (assume @p706 (forall @t46 (or @t665 @t311))) % 1.63/1.93 (assume @p707 (forall @t645 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t16 @t659 tptp.tc_nat) @t16 tptp.tc_nat) @t44))) % 1.63/1.93 (assume @p708 (forall @t26 (or @t630 @t357 @t355))) % 1.63/1.93 (assume @p709 (forall @t26 (or @t630 @t463 @t113))) % 1.63/1.93 (assume @p710 (forall @t277 (or @t42 (= (tptp.c_Orderings_Oord__class_Omax @t222 @t31 @t2) (tptp.c_Orderings_Oord__class_Omin @t638 (tptp.c_Orderings_Oord__class_Omax @t28 @t31 @t2) @t2))))) % 1.63/1.93 (assume @p711 (forall @t35 (or @t42 (= @t732 @t731)))) % 1.63/1.93 (assume @p712 (forall @t425 (or @t162 (= (tptp.c_Power_Opower__class_Opower @t5 @t47 @t2) (tptp.c_Power_Opower__class_Opower @t424 @t16 @t2))))) % 1.63/1.93 (assume @p713 (forall @t502 (or @t211 @t643 @t534 @t304))) % 1.63/1.93 (assume @p714 (forall @t502 (or @t211 @t643 @t304 @t534))) % 1.63/1.93 (assume @p715 (forall @t26 (or @t311 @t57 @t22))) % 1.63/1.93 (assume @p716 (forall @t26 (or @t57 @t311 @t22))) % 1.63/1.93 (assume @p717 (forall @t120 (or @t211 @t400 @t205 @t218))) % 1.63/1.93 (assume @p718 (forall @t120 (or @t211 @t205 @t400 @t218))) % 1.63/1.93 (assume @p719 (forall @t136 (or @t211 @t232 @t534 @t178))) % 1.63/1.93 (assume @p720 (forall @t136 (or @t211 @t232 @t178 @t534))) % 1.63/1.93 (assume @p721 (forall @t120 (or @t42 @t400 @t218 @t205))) % 1.63/1.93 (assume @p722 (forall @t120 (or @t42 @t400 @t205 @t218))) % 1.63/1.93 (assume @p723 (forall @t136 (or @t575 @t705 @t203 @t15))) % 1.63/1.93 (assume @p724 (forall @t136 (or @t345 @t705 @t541 @t539))) % 1.63/1.93 (assume @p725 (forall @t136 (or @t345 @t705 @t203 @t15))) % 1.63/1.93 (assume @p726 (forall @t118 (or @t345 (tptp.c_lessequals @t13 @t576 @t2)))) % 1.63/1.93 (assume @p727 (forall @t136 (or @t332 @t705 @t541 @t539))) % 1.63/1.93 (assume @p728 (forall @t136 (or @t332 @t705 @t203 @t15))) % 1.63/1.93 (assume @p729 (forall @t46 (or @t44 (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes @t16 @t119 tptp.tc_nat) @t20 tptp.tc_nat)))) % 1.63/1.93 (assume @p730 (forall @t479 (= (tptp.c_Lambda_OdB_OdB__size @t200) (tptp.hAPP (tptp.hAPP @t51 (tptp.hAPP (tptp.hAPP @t51 (tptp.c_Lambda_OdB_OdB__size @t198)) (tptp.c_Lambda_OdB_OdB__size @t197))) @t74)))) % 1.63/1.93 (assume @p731 (forall @t46 (or @t337 (not @t737)))) % 1.63/1.93 (assume @p732 (forall @t46 (or @t737 @t338))) % 1.63/1.93 (assume @p733 (forall @t636 (= (tptp.c_Lambda_OdB_OdB__size @t88) (tptp.hAPP (tptp.hAPP @t51 (tptp.c_Lambda_OdB_OdB__size @t85)) @t74)))) % 1.63/1.93 (assume @p734 (forall @t371 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t2)) (= (tptp.c_HOL_Otimes__class_Otimes @t196 @t1 @t2) (tptp.c_HOL_Otimes__class_Otimes @t5 @t368 @t2))))) % 1.63/1.93 (assume @p735 (forall @t739 (or @t152 (= @t738 (tptp.c_HOL_Otimes__class_Otimes @t556 @t553 @t2))))) % 1.63/1.93 (assume @p736 (forall @t739 (or @t152 (= @t738 (tptp.c_HOL_Otimes__class_Otimes @t555 (tptp.c_HOL_Otimes__class_Otimes @t553 @t554 @t2) @t2))))) % 1.63/1.93 (assume @p737 (forall @t741 (or @t152 (= @t740 (tptp.c_HOL_Otimes__class_Otimes @t556 @t552 @t2))))) % 1.63/1.93 (assume @p738 (forall @t741 (or @t152 (= @t740 (tptp.c_HOL_Otimes__class_Otimes @t554 (tptp.c_HOL_Otimes__class_Otimes @t555 @t552 @t2) @t2))))) % 1.63/1.93 (assume @p739 (forall @t73 (= (tptp.c_HOL_Otimes__class_Otimes @t47 @t49 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t20 @t140 tptp.tc_nat)))) % 1.63/1.93 (assume @p740 (forall @t35 (or @t152 (= (tptp.c_HOL_Otimes__class_Otimes @t31 (tptp.c_HOL_Otimes__class_Otimes @t29 @t28 @t2) @t2) (tptp.c_HOL_Otimes__class_Otimes @t108 @t28 @t2))))) % 1.63/1.93 (assume @p741 (forall @t371 (or @t152 @t742))) % 1.63/1.93 (assume @p742 (forall @t371 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t2)) @t742))) % 1.63/1.93 (assume @p743 (forall @t73 (= (tptp.c_HOL_Otimes__class_Otimes @t245 @t49 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t51 @t141) @t140)))) % 1.63/1.93 (assume @p744 (forall @t147 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t245 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t51 @t145) @t144)))) % 1.63/1.93 (assume @p745 (forall @t35 (or @t152 (= (tptp.c_HOL_Otimes__class_Otimes @t31 @t408 @t2) @t110)))) % 1.63/1.93 (assume @p746 (forall @t136 (or @t211 @t233 @t697))) % 1.63/1.93 (assume @p747 (forall @t120 (or @t42 @t206 @t210))) % 1.63/1.93 (assume @p748 (forall @t46 (or @t337 @t21))) % 1.63/1.93 (assume @p749 (forall @t285 (or @t42 @t272 @t217))) % 1.63/1.93 (assume @p750 (forall @t285 (or @t207 @t210 @t206))) % 1.63/1.93 (assume @p751 (forall @t502 (or @t207 @t697 @t233))) % 1.63/1.93 (assume @p752 (forall (@list @t84 @t49) (= (tptp.c_Lambda_Oliftn @t23 @t84 @t49) @t84))) % 1.63/1.93 (assume @p753 (forall (@list @t137 @t20) (or (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Divides_Odiv__class_Odiv @t20 @t23 tptp.tc_nat))) @t155))) % 1.63/1.93 (assume @p754 (forall @t363 (or @t155 @t743))) % 1.63/1.93 (assume @p755 (forall @t363 (or (not @t743) @t154))) % 1.63/1.93 (assume @p756 (forall @t114 (or @t43 @t113))) % 1.63/1.93 (assume @p757 (forall @t744 (= (tptp.c_Nat_Onat_Onat__rec @t90 @t89 @t23 @t2) @t90))) % 1.63/1.93 (assume @p758 (forall @t363 (or (tptp.hBOOL (tptp.hAPP @t137 @t382)) @t381 @t154))) % 1.63/1.93 (assume @p759 (forall @t642 (not (= @t112 @t23)))) % 1.63/1.93 (assume @p760 (forall @t745 (not (= @t402 @t23)))) % 1.63/1.93 (assume @p761 (forall @t46 (or (not (= @t571 @t23)) @t27 @t57))) % 1.63/1.93 (assume @p762 (forall @t114 (or @t113 (not (tptp.c_lessequals @t16 @t23 tptp.tc_nat))))) % 1.63/1.93 (assume @p763 (forall @t363 (or @t261 (tptp.hBOOL (tptp.hAPP @t137 @t362)) @t155))) % 1.63/1.93 (assume @p764 (forall @t642 (= @t726 @t23))) % 1.63/1.93 (assume @p765 (forall @t114 (= @t675 @t23))) % 1.63/1.93 (assume @p766 (forall @t26 (or (not (= @t47 @t23)) @t113 @t463))) % 1.63/1.93 (assume @p767 (forall @t26 (or @t746 @t113))) % 1.63/1.93 (assume @p768 (forall @t26 (or @t746 @t463))) % 1.63/1.93 (assume @p769 (forall (@list @t31 @t747 @t2) (= (tptp.c_Nat_Onat_Onat__case @t31 @t747 @t23 @t2) @t31))) % 1.63/1.93 (assume @p770 (forall @t744 (= (tptp.c_Nat_Onat_Onat__case @t90 @t89 @t23 @t2) @t90))) % 1.63/1.93 (assume @p771 (forall @t114 (= (tptp.c_Orderings_Oord__class_Omin @t16 @t23 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p772 (forall @t114 (= (tptp.c_Orderings_Oord__class_Omin @t23 @t16 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p773 (forall @t143 (or (not (= @t141 @t140)) @t516 @t57))) % 1.63/1.93 (assume @p774 (forall @t147 (or @t461 @t516 @t57))) % 1.63/1.93 (assume @p775 (forall @t147 (or @t461 @t57 @t516))) % 1.63/1.93 (assume @p776 (forall @t642 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t23 tptp.tc_nat) @t20))) % 1.63/1.93 (assume @p777 (forall @t642 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p778 (forall (@list @t31 @t5) (or (not (= @t31 (tptp.hAPP @t412 @t5))) (= @t5 @t23)))) % 1.63/1.93 (assume @p779 (forall @t26 (or (not (= @t245 @t20)) @t113))) % 1.63/1.93 (assume @p780 (forall @t159 (or @t158 (tptp.hBOOL (tptp.hAPP @t137 @t310)) @t155))) % 1.63/1.93 (assume @p781 (forall @t642 (not (= @t23 @t112)))) % 1.63/1.93 (assume @p782 (forall @t745 (not (= @t23 @t402)))) % 1.63/1.93 (assume @p783 (forall (@list @t137 @t90 @t89) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Nat_Onat_Onat__case @t90 @t89 @t23 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t90))))) % 1.63/1.93 (assume @p784 (forall @t159 (or @t158 (tptp.hBOOL (tptp.hAPP @t137 @t156)) @t155))) % 1.63/1.93 (assume @p785 (forall @t189 (= (tptp.c_Nitpick_Onat__gcd @t31 @t23) @t31))) % 1.63/1.93 (assume @p786 (= (tptp.c_nat_Onat__size @t23) @t23)) % 1.63/1.93 (assume @p787 (forall @t748 (= (tptp.c_String_Ochar_Ochar__size @t1) @t23))) % 1.63/1.93 (assume @p788 (= (tptp.hAPP @t444 @t23) @t23)) % 1.63/1.93 (assume @p789 (forall @t159 (or @t158 (tptp.hBOOL (tptp.hAPP @t137 @t231)) @t155))) % 1.63/1.93 (assume @p790 (forall @t642 (not (tptp.c_HOL_Oord__class_Oless @t20 @t23 tptp.tc_nat)))) % 1.63/1.93 (assume @p791 (forall @t114 (not (tptp.c_HOL_Oord__class_Oless @t16 @t23 tptp.tc_nat)))) % 1.63/1.93 (assume @p792 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t23)) % 1.63/1.93 (assume @p793 (forall @t159 (or @t158 (tptp.hBOOL (tptp.hAPP @t137 @t305)) @t155))) % 1.63/1.93 (assume @p794 (forall (@list @t668 @t2) (= (tptp.c_List_Odrop @t23 @t668 @t2) @t668))) % 1.63/1.93 (assume @p795 (forall @t114 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t16 tptp.tc_nat) @t23))) % 1.63/1.93 (assume @p796 (forall @t363 (or @t261 (not (tptp.hBOOL (tptp.hAPP @t137 @t259))) @t155))) % 1.63/1.93 (assume @p797 (forall @t114 (tptp.c_lessequals @t23 @t16 tptp.tc_nat))) % 1.63/1.93 (assume @p798 (forall @t748 (= (tptp.c_Nat_Osize__class_Osize @t1 tptp.tc_String_Ochar) @t23))) % 1.63/1.93 (assume @p799 (forall (@list @t31 @t2 @t29) (= (tptp.c_List_Oreplicate @t23 @t31 @t2) (tptp.c_List_Oreplicate @t23 @t29 @t2)))) % 1.63/1.93 (assume @p800 (forall @t114 (= (tptp.c_Orderings_Oord__class_Omax @t16 @t23 tptp.tc_nat) @t16))) % 1.63/1.93 (assume @p801 (forall @t114 (= (tptp.c_Orderings_Oord__class_Omax @t23 @t16 tptp.tc_nat) @t16))) % 1.63/1.93 (assume @p802 (forall @t59 (or @t58 @t400 @t463))) % 1.63/1.93 (assume @p803 (forall @t189 (= @t31 (tptp.hAPP @t412 @t23)))) % 1.63/1.93 (assume @p804 (forall @t114 (= (tptp.hAPP @t444 @t16) @t16))) % 1.63/1.93 (assume @p805 (forall @t642 (= (tptp.hAPP @t244 @t23) @t20))) % 1.63/1.93 (assume @p806 (forall (@list @t292 @t31 @t290 @t294 @t293 @t291 @t2) (or (= (tptp.hAPP @t296 @t23) @t290) @t295))) % 1.63/1.93 (assume @p807 (forall (@list @t523 @t157) (not (= @t524 @t749)))) % 1.63/1.93 (assume @p808 (forall (@list @t137 @t90 @t89 @t86 @t750) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 (tptp.c_Lambda_OdB_OVar @t750) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t90 @t750)))))) % 1.63/1.93 (assume @p809 (forall (@list @t137 @t90 @t89 @t86 @t157) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t749 tptp.t_a)))) @t628))) % 1.63/1.93 (assume @p810 (forall (@list @t49 @t123) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t49) @t123 @t49) @t123))) % 1.63/1.93 (assume @p811 (forall (@list @t83 @t84) (not (tptp.c_Lambda_Obeta @t121 @t84)))) % 1.63/1.93 (assume @p812 (forall @t751 (= (tptp.c_Lambda_OdB_OdB__rec @t90 @t89 @t86 @t749 @t2) @t562))) % 1.63/1.93 (assume @p813 (forall (@list @t157 @t647 @t646) (not (= @t749 @t648)))) % 1.63/1.93 (assume @p814 (forall (@list @t157 @t523) (not (= @t749 @t524)))) % 1.63/1.93 (assume @p815 (forall @t114 (tptp.c_InductTermi_OIT @t522))) % 1.63/1.93 (assume @p816 (forall @t751 (= (tptp.c_Lambda_OdB_OdB__case @t90 @t89 @t86 @t749 @t2) @t562))) % 1.63/1.93 (assume @p817 (forall (@list @t647 @t646 @t157) (not (= @t648 @t749)))) % 1.63/1.93 (assume @p818 (forall (@list @t212 @t753 @t3 @t83 @t521) (or (= @t212 @t753) (not (tptp.c_Type_Otyping @t3 @t752 @t753)) (not (tptp.c_Type_Otyping @t3 @t752 @t212))))) % 1.63/1.93 (assume @p819 (forall (@list @t3 @t755 @t212 @t84) (or (tptp.c_Type_Otyping @t3 @t755 @t212) (not (tptp.c_Lambda_Obeta @t84 @t755)) @t754))) % 1.63/1.93 (assume @p820 (forall (@list @t3 @t84 @t212 @t123) (or (tptp.c_Type_Otyping @t3 @t84 (tptp.c_Type_Otype_OFun @t216 @t212)) @t215))) % 1.63/1.93 (assume @p821 (forall (@list @t757 @t756 @t157) (not (= @t758 @t308)))) % 1.63/1.93 (assume @p822 (forall (@list @t137 @t760 @t759 @t212) (or (not (= @t441 (tptp.c_Type_Otype_OFun @t760 @t759))) @t442 (tptp.hBOOL (tptp.hAPP @t137 @t759))))) % 1.63/1.93 (assume @p823 (forall (@list @t137 @t761 @t31 @t212) (or (not (= @t441 (tptp.c_Type_Otype_OFun @t761 @t31))) @t442 (tptp.hBOOL (tptp.hAPP @t137 @t761))))) % 1.63/1.93 (assume @p824 (forall @t766 (= (tptp.c_Type_Otype_Otype__rec @t90 @t89 @t765 @t2) (tptp.hAPP (tptp.hAPP @t764 (tptp.c_Type_Otype_Otype__rec @t90 @t89 @t763 @t2)) (tptp.c_Type_Otype_Otype__rec @t90 @t89 @t762 @t2))))) % 1.63/1.93 (assume @p825 (forall @t766 (= (tptp.c_Type_Otype_Otype__case @t90 @t89 @t765 @t2) @t764))) % 1.63/1.93 (assume @p826 (forall (@list @t137 @t90 @t89 @t456 @t727) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Type_Otype_Otype__case @t90 @t89 (tptp.c_Type_Otype_OFun @t456 @t727) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 (tptp.hAPP @t495 @t727)))))) % 1.63/1.93 (assume @p827 (forall (@list @t137 @t90 @t89 @t763 @t762) (or (not (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Type_Otype_Otype__case @t90 @t89 @t765 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t137 @t764))))) % 1.63/1.93 (assume @p828 (forall (@list @t157 @t757 @t756) (not (= @t308 @t758)))) % 1.63/1.93 (assume @p829 (forall (@list @t3 @t84 @t212) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t3 @t23 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t3 @t84) tptp.tc_Type_Otype) @t84 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t3 @t84)) @t709))) % 1.63/1.93 (assume @p830 (forall (@list @t3 @t212 @t84) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t3 @t23 @t711 tptp.tc_Type_Otype) @t84 @t710) @t709))) % 1.63/1.93 (assume @p831 (forall (@list @t3 @t83 @t212 @t2 @t48) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t3 @t83 @t212 @t2) @t48) (tptp.hAPP @t3 @t48)) @t681))) % 1.63/1.93 (assume @p832 (forall (@list @t84 @t123 @t83 @t3 @t753 @t212) (or (tptp.c_InductTermi_OIT @t768) (not (tptp.c_Type_Otyping @t3 @t123 @t753)) (not (tptp.c_InductTermi_OIT @t123)) (not (tptp.c_Type_Otyping @t767 @t84 @t212)) @t518))) % 1.63/1.93 (assume @p833 (forall @t243 (or @t716 @t715 @t714 @t164 @t769 @t113))) % 1.63/1.93 (assume @p834 (forall @t243 (or @t242 @t164 @t769 @t113))) % 1.63/1.93 (assume @p835 (forall @t118 (or @t716 @t715 @t714 @t164 (not (= (tptp.c_Power_Opower__class_Opower @t5 @t23 @t2) @t13))))) % 1.63/1.93 (assume @p836 (forall @t194 (or @t529 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t23 @t2) @t13)))) % 1.63/1.93 (assume @p837 (forall @t640 (= (tptp.c_Nat_Osize__class_Osize @t749 tptp.tc_Lambda_OdB) @t23))) % 1.63/1.93 (assume @p838 (forall @t640 (= (tptp.c_Lambda_OdB_OdB__size @t749) @t23))) % 1.63/1.93 (assume @p839 (forall (@list @t3 @t83 @t753 @t2 @t212) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t3 @t83 @t753 @t2) @t23 @t212 @t2) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t3 @t23 @t212 @t2) @t659 @t753 @t2)))) % 1.63/1.93 (assume @p840 (forall (@list @t771 @t80 @t84 @t753 @t212) (or (tptp.c_Type_Otyping @t771 @t342 @t753) (not (tptp.c_Type_Otyping @t771 @t84 @t212)) (not (tptp.c_Type_Otyping @t771 @t80 @t770))))) % 1.63/1.93 (assume @p841 (forall (@list @t3 @t83 @t753 @t84 @t212) (or (tptp.c_Type_Otyping @t767 @t519 @t212) @t754))) % 1.63/1.93 (assume @p842 (forall (@list @t772 @t123 @t753 @t83 @t84 @t212) (or (not (tptp.c_Type_Otyping @t772 @t123 @t753)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t772 @t83 @t753 tptp.tc_Type_Otype) @t84 @t212)) (tptp.c_Type_Otyping @t772 @t768 @t212)))) % 1.63/1.93 (assume @p843 (forall (@list @t771 @t84 @t212 @t753) (or (tptp.c_Type_Otyping @t771 @t704 @t770) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t771 @t23 @t212 tptp.tc_Type_Otype) @t84 @t753))))) % 1.63/1.93 (assume @p844 (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_ta____ tptp.v_Ta____)) % 1.63/1.93 (assume @p845 (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_s____ @t773)) % 1.63/1.93 (assume @p846 (forall @t309 (or (not (= @t749 (tptp.c_Lambda_OdB_OVar @t306))) @t307))) % 1.63/1.93 (assume @p847 (forall @t775 (or @t774 (= @t763 @t757)))) % 1.63/1.93 (assume @p848 (forall @t775 (or @t774 (= @t762 @t756)))) % 1.63/1.93 (assume @p849 @t777) % 1.63/1.93 (assume @p850 (forall (@list @t3 @t83 @t212) (or (= (tptp.hAPP @t3 @t83) @t212) (not (tptp.c_Type_Otyping @t3 @t121 @t212))))) % 1.63/1.93 (assume @p851 (forall (@list @t771 @t31) (tptp.c_Type_Otyping @t771 @t439 (tptp.hAPP @t771 @t31)))) % 1.63/1.93 (assume @p852 (not @t780)) % 1.63/1.93 (assume @p853 (forall @t784 (or (tptp.class_Orderings_Opreorder @t783) (not (tptp.class_Orderings_Opreorder @t781))))) % 1.63/1.93 (assume @p854 (forall @t784 (or (tptp.class_Orderings_Oorder @t783) (not (tptp.class_Orderings_Oorder @t781))))) % 1.63/1.93 (assume @p855 (forall @t784 (or (tptp.class_Orderings_Obot @t783) (not (tptp.class_Orderings_Obot @t781))))) % 1.63/1.93 (assume @p856 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p857 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.63/1.93 (assume @p858 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.63/1.93 (assume @p859 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.63/1.93 (assume @p860 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.63/1.93 (assume @p861 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p862 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.63/1.93 (assume @p863 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p864 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p865 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.63/1.93 (assume @p866 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.63/1.93 (assume @p867 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.63/1.93 (assume @p868 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.63/1.93 (assume @p869 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.63/1.93 (assume @p870 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.63/1.93 (assume @p871 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.63/1.93 (assume @p872 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p873 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.63/1.93 (assume @p874 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.63/1.93 (assume @p875 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.63/1.93 (assume @p876 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 1.63/1.93 (assume @p877 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.63/1.93 (assume @p878 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.63/1.93 (assume @p879 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.63/1.93 (assume @p880 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.63/1.93 (assume @p881 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.63/1.93 (assume @p882 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.63/1.93 (assume @p883 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.63/1.93 (assume @p884 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.63/1.93 (assume @p885 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 1.63/1.93 (assume @p886 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.63/1.93 (assume @p887 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.63/1.93 (assume @p888 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.63/1.93 (assume @p889 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.63/1.93 (assume @p890 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.63/1.93 (assume @p891 (tptp.class_Power_Opower tptp.tc_nat)) % 1.63/1.93 (assume @p892 (forall (@list @t31 @t2) (tptp.c_fequal @t31 @t31 @t2))) % 1.63/1.93 (assume @p893 (forall (@list @t786 @t785 @t2) (or (= @t786 @t785) (not (tptp.c_fequal @t786 @t785 @t2))))) % 1.63/1.93 (step @p894 :rule evaluate :args ((= false true))) % 1.63/1.93 (step @p895 :rule instantiate :premises (@p851) :args ((@list @t779 @t23))) % 1.63/1.93 (step @p896 :rule true_intro :premises (@p895)) % 1.63/1.93 (step @p897 :rule eq-symm :args (@t776 @t212)) % 1.63/1.93 (step @p898 :rule cong :premises (@p897) :args (@t777)) % 1.63/1.93 (step @p899 :rule eq_resolve :premises (@p849 @p898)) % 1.63/1.93 (step @p900 :rule instantiate :premises (@p899) :args ((@list tptp.v_ea____ @t23 @t773 tptp.tc_Type_Otype))) % 1.63/1.93 (step @p901 :rule refl :args (@t778)) % 1.63/1.93 (step @p902 :rule refl :args (@t779)) % 1.63/1.93 (step @p903 :rule cong :premises (@p902 @p901 @p900) :args (@t780)) % 1.63/1.93 (step @p904 :rule false_intro :premises (@p852)) % 1.63/1.93 (step @p905 :rule symm :premises (@p904)) % 1.63/1.93 (step @p906 :rule trans :premises (@p905 @p903 @p896)) % 1.63/1.93 (step @p907 false :rule eq_resolve :premises (@p906 @p894)) % 1.63/1.93 ) % 1.63/1.93 % SZS output end Proof % 1.63/1.93 % cvc5 exiting %------------------------------------------------------------------------------