%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 1.03s 1.33s % Output : Proof 1.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n028.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 17:08:14 UTC 2026 % 0.10/0.36 % CPUTime : % 0.45/0.70 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.33 % SZS status Unsatisfiable % 1.03/1.33 % SZS output start Proof % 1.03/1.39 ( % 1.03/1.39 (declare-sort $$unsorted 0) % 1.03/1.39 (declare-const tptp.v_ea____ $$unsorted) % 1.03/1.39 (declare-const tptp.v_Ta____ $$unsorted) % 1.03/1.39 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.tc_String_Ochar $$unsorted) % 1.03/1.39 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.v_ta____ $$unsorted) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.v_sko__List__Xlexn__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.v_s____ $$unsorted) % 1.03/1.39 (declare-const tptp.t_a $$unsorted) % 1.03/1.39 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.v_U____ $$unsorted) % 1.03/1.39 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.tc_nat $$unsorted) % 1.03/1.39 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.tc_Type_Otype $$unsorted) % 1.03/1.39 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.39 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.03/1.39 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 1.03/1.39 (define @t1 () (@var "V_m" $$unsorted)) % 1.03/1.39 (define @t2 () (@var "V_i" $$unsorted)) % 1.03/1.39 (define @t3 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 1.03/1.39 (define @t4 () (tptp.hAPP @t3 @t2)) % 1.03/1.39 (define @t5 () (@list @t2 @t1)) % 1.03/1.39 (define @t6 () (tptp.hAPP @t3 @t1)) % 1.03/1.39 (define @t7 () (@var "V_x" $$unsorted)) % 1.03/1.39 (define @t8 () (tptp.hAPP @t6 @t7)) % 1.03/1.39 (define @t9 () (@list @t1 @t7)) % 1.03/1.39 (define @t10 () (@var "V_j" $$unsorted)) % 1.03/1.39 (define @t11 () (@var "V_k" $$unsorted)) % 1.03/1.39 (define @t12 () (not (tptp.c_lessequals @t11 @t10 tptp.tc_nat))) % 1.03/1.39 (define @t13 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t14 () (tptp.c_lessequals @t2 @t13 tptp.tc_nat)) % 1.03/1.39 (define @t15 () (tptp.hAPP @t4 @t11)) % 1.03/1.39 (define @t16 () (tptp.c_lessequals @t15 @t10 tptp.tc_nat)) % 1.03/1.39 (define @t17 () (@list @t2 @t11 @t10)) % 1.03/1.39 (define @t18 () (@list @t2 @t10 @t11)) % 1.03/1.39 (define @t19 () (@var "V_c" $$unsorted)) % 1.03/1.39 (define @t20 () (@var "V_a" $$unsorted)) % 1.03/1.39 (define @t21 () (@var "T_a" $$unsorted)) % 1.03/1.39 (define @t22 () (tptp.c_HOL_Oplus__class_Oplus @t21)) % 1.03/1.39 (define @t23 () (tptp.hAPP @t22 @t20)) % 1.03/1.39 (define @t24 () (tptp.hAPP @t23 @t19)) % 1.03/1.39 (define @t25 () (@var "V_b" $$unsorted)) % 1.03/1.39 (define @t26 () (tptp.c_Divides_Odiv__class_Omod @t20 @t25 @t21)) % 1.03/1.39 (define @t27 () (tptp.c_Divides_Odiv__class_Odiv @t20 @t25 @t21)) % 1.03/1.39 (define @t28 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t25 @t21)) % 1.03/1.39 (define @t29 () (tptp.hAPP (tptp.hAPP @t22 @t28) @t26)) % 1.03/1.39 (define @t30 () (not (tptp.class_Divides_Osemiring__div @t21))) % 1.03/1.39 (define @t31 () (@list @t21 @t20 @t25 @t19)) % 1.03/1.39 (define @t32 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t25 @t27 @t21)) @t26)) % 1.03/1.39 (define @t33 () (@list @t21 @t25 @t20 @t19)) % 1.03/1.39 (define @t34 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.03/1.39 (define @t35 () (@var "V_P" $$unsorted)) % 1.03/1.39 (define @t36 () (tptp.hBOOL (tptp.hAPP @t35 @t34))) % 1.03/1.39 (define @t37 () (not @t36)) % 1.03/1.39 (define @t38 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t35)) % 1.03/1.39 (define @t39 () (tptp.hBOOL (tptp.hAPP @t35 @t7))) % 1.03/1.39 (define @t40 () (@var "V_n" $$unsorted)) % 1.03/1.39 (define @t41 () (tptp.hAPP @t35 @t40)) % 1.03/1.39 (define @t42 () (tptp.hBOOL @t41)) % 1.03/1.39 (define @t43 () (@var "V_d" $$unsorted)) % 1.03/1.39 (define @t44 () (@var "V_e" $$unsorted)) % 1.03/1.39 (define @t45 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t25 @t21)) % 1.03/1.39 (define @t46 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t45 @t44 @t21)) @t19)) % 1.03/1.39 (define @t47 () (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t25 @t44 @t21))) % 1.03/1.39 (define @t48 () (tptp.hAPP @t47 @t43)) % 1.03/1.39 (define @t49 () (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t20 @t44 @t21))) % 1.03/1.39 (define @t50 () (tptp.hAPP @t49 @t19)) % 1.03/1.39 (define @t51 () (not (= @t50 @t48))) % 1.03/1.39 (define @t52 () (not (tptp.class_Ring__and__Field_Oring @t21))) % 1.03/1.39 (define @t53 () (@list @t21 @t20 @t44 @t19 @t25 @t43)) % 1.03/1.39 (define @t54 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t25 @t20 @t21) @t44 @t21)) @t43)) % 1.03/1.39 (define @t55 () (not (tptp.c_lessequals @t2 @t10 tptp.tc_nat))) % 1.03/1.39 (define @t56 () (@var "V_u" $$unsorted)) % 1.03/1.39 (define @t57 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t2 tptp.tc_nat)) % 1.03/1.39 (define @t58 () (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t57 @t56 tptp.tc_nat)) @t40)) % 1.03/1.39 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t1 @t58 tptp.tc_nat)) % 1.03/1.39 (define @t60 () (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t10 @t56 tptp.tc_nat))) % 1.03/1.39 (define @t61 () (tptp.hAPP @t60 @t40)) % 1.03/1.39 (define @t62 () (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t2 @t56 tptp.tc_nat))) % 1.03/1.39 (define @t63 () (tptp.hAPP @t62 @t1)) % 1.03/1.39 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t63 @t61 tptp.tc_nat)) % 1.03/1.39 (define @t65 () (@list @t2 @t56 @t1 @t10 @t40)) % 1.03/1.39 (define @t66 () (not @t64)) % 1.03/1.39 (define @t67 () (@list @t1 @t10 @t2 @t56 @t40)) % 1.03/1.39 (define @t68 () (not (tptp.c_lessequals @t10 @t2 tptp.tc_nat))) % 1.03/1.39 (define @t69 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t10 tptp.tc_nat)) % 1.03/1.39 (define @t70 () (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t69 @t56 tptp.tc_nat)) @t1)) % 1.03/1.39 (define @t71 () (tptp.c_HOL_Oord__class_Oless @t70 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t72 () (@list @t2 @t10 @t56 @t1 @t40)) % 1.03/1.39 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t34 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t74 () (not @t73)) % 1.03/1.39 (define @t75 () (@var "V_q" $$unsorted)) % 1.03/1.39 (define @t76 () (tptp.c_Suc @t75)) % 1.03/1.39 (define @t77 () (tptp.c_Divides_Odiv__class_Odiv @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t78 () (tptp.hAPP @t6 @t40)) % 1.03/1.39 (define @t79 () (tptp.c_Suc @t78)) % 1.03/1.39 (define @t80 () (tptp.c_Suc @t1)) % 1.03/1.39 (define @t81 () (tptp.hAPP (tptp.hAPP @t3 @t80) @t40)) % 1.03/1.39 (define @t82 () (@list @t1 @t40)) % 1.03/1.39 (define @t83 () (tptp.c_Suc @t40)) % 1.03/1.39 (define @t84 () (tptp.hAPP @t6 @t83)) % 1.03/1.39 (define @t85 () (tptp.c_HOL_Ozero__class_Ozero @t21)) % 1.03/1.39 (define @t86 () (not (tptp.class_Power_Opower @t21))) % 1.03/1.39 (define @t87 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t21))) % 1.03/1.39 (define @t88 () (@list @t21 @t40)) % 1.03/1.39 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t20 @t25 @t21)) % 1.03/1.39 (define @t90 () (not @t89)) % 1.03/1.39 (define @t91 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t43 @t21))) % 1.03/1.39 (define @t92 () (tptp.c_HOL_Oord__class_Oless @t85 @t25 @t21)) % 1.03/1.39 (define @t93 () (not @t92)) % 1.03/1.39 (define @t94 () (not (tptp.c_lessequals @t85 @t19 @t21))) % 1.03/1.39 (define @t95 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t43 @t21)) % 1.03/1.39 (define @t96 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t19 @t21)) % 1.03/1.39 (define @t97 () (tptp.c_HOL_Oord__class_Oless @t96 @t95 @t21)) % 1.03/1.39 (define @t98 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t21))) % 1.03/1.39 (define @t99 () (@list @t21 @t20 @t19 @t25 @t43)) % 1.03/1.39 (define @t100 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t25 @t21)) % 1.03/1.39 (define @t101 () (tptp.c_Divides_Odiv__class_Omod @t100 @t19 @t21)) % 1.03/1.39 (define @t102 () (tptp.c_Divides_Odiv__class_Omod @t20 @t19 @t21)) % 1.03/1.39 (define @t103 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t102 @t25 @t21) @t19 @t21)) % 1.03/1.39 (define @t104 () (@list @t21 @t20 @t19 @t25)) % 1.03/1.39 (define @t105 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t35)) % 1.03/1.39 (define @t106 () (@var "V_nat" $$unsorted)) % 1.03/1.39 (define @t107 () (tptp.hBOOL (tptp.hAPP @t35 @t106))) % 1.03/1.39 (define @t108 () (@list @t35 @t106)) % 1.03/1.39 (define @t109 () (@var "V_y" $$unsorted)) % 1.03/1.39 (define @t110 () (tptp.c_Orderings_Oord__class_Omin @t7 @t109 @t21)) % 1.03/1.39 (define @t111 () (not (tptp.class_Orderings_Olinorder @t21))) % 1.03/1.39 (define @t112 () (@list @t21 @t7 @t109)) % 1.03/1.39 (define @t113 () (tptp.c_lessequals @t7 @t20 @t21)) % 1.03/1.39 (define @t114 () (not @t113)) % 1.03/1.39 (define @t115 () (tptp.c_lessequals @t7 @t25 @t21)) % 1.03/1.39 (define @t116 () (not @t115)) % 1.03/1.39 (define @t117 () (tptp.c_Orderings_Oord__class_Omin @t20 @t25 @t21)) % 1.03/1.39 (define @t118 () (tptp.c_lessequals @t7 @t117 @t21)) % 1.03/1.39 (define @t119 () (@list @t21 @t7 @t20 @t25)) % 1.03/1.39 (define @t120 () (tptp.c_lessequals @t7 @t109 @t21)) % 1.03/1.39 (define @t121 () (not @t120)) % 1.03/1.39 (define @t122 () (@var "V_z" $$unsorted)) % 1.03/1.39 (define @t123 () (tptp.c_lessequals @t7 @t122 @t21)) % 1.03/1.39 (define @t124 () (not @t123)) % 1.03/1.39 (define @t125 () (tptp.c_Orderings_Oord__class_Omin @t109 @t122 @t21)) % 1.03/1.39 (define @t126 () (tptp.c_lessequals @t7 @t125 @t21)) % 1.03/1.39 (define @t127 () (@list @t21 @t7 @t109 @t122)) % 1.03/1.39 (define @t128 () (tptp.c_lessequals @t85 @t20 @t21)) % 1.03/1.39 (define @t129 () (not @t128)) % 1.03/1.39 (define @t130 () (tptp.c_Power_Opower__class_Opower @t20 @t40 @t21)) % 1.03/1.39 (define @t131 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t21))) % 1.03/1.39 (define @t132 () (@list @t21 @t20 @t40)) % 1.03/1.39 (define @t133 () (tptp.c_lessequals @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t134 () (not @t133)) % 1.03/1.39 (define @t135 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t136 () (= @t135 @t34)) % 1.03/1.39 (define @t137 () (not @t136)) % 1.03/1.39 (define @t138 () (tptp.c_HOL_Ominus__class_Ominus @t109 @t122 @t21)) % 1.03/1.39 (define @t139 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t122 @t21)) % 1.03/1.39 (define @t140 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t21))) % 1.03/1.39 (define @t141 () (tptp.c_HOL_Oord__class_Oless @t7 @t122 @t21)) % 1.03/1.39 (define @t142 () (not @t141)) % 1.03/1.39 (define @t143 () (tptp.c_HOL_Oord__class_Oless @t109 @t122 @t21)) % 1.03/1.39 (define @t144 () (not @t143)) % 1.03/1.39 (define @t145 () (tptp.c_Orderings_Oord__class_Omax @t7 @t109 @t21)) % 1.03/1.39 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t145 @t122 @t21)) % 1.03/1.39 (define @t147 () (tptp.c_HOL_Otimes__class_Otimes @t40 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t148 () (@list @t40 @t1)) % 1.03/1.39 (define @t149 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t150 () (tptp.hAPP @t3 @t11)) % 1.03/1.39 (define @t151 () (tptp.hAPP @t150 @t1)) % 1.03/1.39 (define @t152 () (tptp.c_Suc @t10)) % 1.03/1.39 (define @t153 () (tptp.c_Suc @t13)) % 1.03/1.39 (define @t154 () (= @t1 @t40)) % 1.03/1.39 (define @t155 () (not (= (tptp.c_List_Oreplicate @t1 @t7 @t21) (tptp.c_List_Oreplicate @t40 @t109 @t21)))) % 1.03/1.39 (define @t156 () (@list @t1 @t7 @t21 @t40 @t109)) % 1.03/1.39 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t85 @t20 @t21)) % 1.03/1.39 (define @t158 () (not @t157)) % 1.03/1.39 (define @t159 () (not (tptp.c_lessequals @t25 @t19 @t21))) % 1.03/1.39 (define @t160 () (tptp.c_HOL_Oord__class_Oless @t25 @t24 @t21)) % 1.03/1.39 (define @t161 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t21))) % 1.03/1.39 (define @t162 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t21))) % 1.03/1.39 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t34 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t164 () (not @t163)) % 1.03/1.39 (define @t165 () (tptp.hAPP @t3 @t40)) % 1.03/1.39 (define @t166 () (tptp.hAPP @t165 @t11)) % 1.03/1.39 (define @t167 () (@list @t1 @t40 @t11)) % 1.03/1.39 (define @t168 () (tptp.c_Suc @t34)) % 1.03/1.39 (define @t169 () (tptp.hAPP (tptp.hAPP @t3 @t168) @t34)) % 1.03/1.39 (define @t170 () (@list @t21 @t20 @t25)) % 1.03/1.39 (define @t171 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t40 @t21)) % 1.03/1.39 (define @t172 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t21)) % 1.03/1.39 (define @t173 () (tptp.c_lessequals @t172 @t171 @t21)) % 1.03/1.39 (define @t174 () (@list @t21 @t1 @t40)) % 1.03/1.39 (define @t175 () (@var "V_s" $$unsorted)) % 1.03/1.39 (define @t176 () (@var "V_r" $$unsorted)) % 1.03/1.39 (define @t177 () (not (tptp.c_Lambda_Obeta @t176 @t175))) % 1.03/1.39 (define @t178 () (@var "V_t" $$unsorted)) % 1.03/1.39 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t122 @t7 @t21)) % 1.03/1.39 (define @t180 () (not @t179)) % 1.03/1.39 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t122 @t109 @t21)) % 1.03/1.39 (define @t182 () (not @t181)) % 1.03/1.39 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t122 @t110 @t21)) % 1.03/1.39 (define @t184 () (@list @t21 @t122 @t7 @t109)) % 1.03/1.39 (define @t185 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t109 tptp.tc_nat)) % 1.03/1.39 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t122 tptp.tc_nat)) % 1.03/1.39 (define @t187 () (@list @t7 @t109 @t122)) % 1.03/1.39 (define @t188 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t19 tptp.tc_nat)) % 1.03/1.39 (define @t189 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t43 tptp.tc_nat)) % 1.03/1.39 (define @t190 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t19 @t21)) % 1.03/1.39 (define @t191 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t43 @t21)) % 1.03/1.39 (define @t192 () (not (tptp.class_Int_Onumber__ring @t21))) % 1.03/1.39 (define @t193 () (not (tptp.class_Ring__and__Field_Oidom @t21))) % 1.03/1.39 (define @t194 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t109 @t21)) % 1.03/1.39 (define @t195 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t122 @t21)) % 1.03/1.39 (define @t196 () (tptp.hAPP (tptp.hAPP @t22 @t194) @t195)) % 1.03/1.39 (define @t197 () (= @t40 @t34)) % 1.03/1.39 (define @t198 () (@list @t40)) % 1.03/1.39 (define @t199 () (tptp.hAPP @t23 @t20)) % 1.03/1.39 (define @t200 () (tptp.c_lessequals @t85 @t199 @t21)) % 1.03/1.39 (define @t201 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t21))) % 1.03/1.39 (define @t202 () (@list @t21 @t20)) % 1.03/1.39 (define @t203 () (tptp.c_Lambda_OdB_OVar @t2)) % 1.03/1.39 (define @t204 () (tptp.c_HOL_Ominus__class_Ominus @t63 @t61 tptp.tc_nat)) % 1.03/1.39 (define @t205 () (not (tptp.class_OrderedGroup_Ogroup__add @t21))) % 1.03/1.39 (define @t206 () (tptp.hAPP @t3 @t25)) % 1.03/1.39 (define @t207 () (tptp.c_Divides_Odiv__class_Omod @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t208 () (tptp.c_Suc @t207)) % 1.03/1.39 (define @t209 () (= @t208 @t40)) % 1.03/1.39 (define @t210 () (tptp.c_Divides_Odiv__class_Omod @t80 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t211 () (tptp.c_HOL_Otimes__class_Otimes @t40 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t212 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t213 () (tptp.c_lessequals @t212 @t211 tptp.tc_nat)) % 1.03/1.39 (define @t214 () (@list @t1 @t11 @t40)) % 1.03/1.39 (define @t215 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t216 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t217 () (tptp.c_lessequals @t216 @t215 tptp.tc_nat)) % 1.03/1.39 (define @t218 () (@list @t11 @t1 @t40)) % 1.03/1.39 (define @t219 () (@var "V_p" $$unsorted)) % 1.03/1.39 (define @t220 () (tptp.c_HOL_Otimes__class_Otimes @t219 @t75 tptp.tc_nat)) % 1.03/1.39 (define @t221 () (tptp.c_Power_Opower__class_Opower @t7 @t219 @t21)) % 1.03/1.39 (define @t222 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t21))) % 1.03/1.39 (define @t223 () (@list @t21 @t7 @t219 @t75)) % 1.03/1.39 (define @t224 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t35)) % 1.03/1.39 (define @t225 () (tptp.c_HOL_Otimes__class_Otimes @t130 @t20 @t21)) % 1.03/1.39 (define @t226 () (tptp.c_Power_Opower__class_Opower @t20 @t83 @t21)) % 1.03/1.39 (define @t227 () (not (tptp.class_OrderedGroup_Omonoid__mult @t21))) % 1.03/1.39 (define @t228 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t130 @t21)) % 1.03/1.39 (define @t229 () (tptp.c_Power_Opower__class_Opower @t7 @t75 @t21)) % 1.03/1.39 (define @t230 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t229 @t21)) % 1.03/1.39 (define @t231 () (tptp.c_Power_Opower__class_Opower @t7 @t76 @t21)) % 1.03/1.39 (define @t232 () (@list @t21 @t7 @t75)) % 1.03/1.39 (define @t233 () (@var "V_l" $$unsorted)) % 1.03/1.39 (define @t234 () (not (tptp.c_lessequals @t11 @t233 tptp.tc_nat))) % 1.03/1.39 (define @t235 () (tptp.hAPP @t3 @t10)) % 1.03/1.39 (define @t236 () (tptp.hAPP @t235 @t233)) % 1.03/1.39 (define @t237 () (@list @t2 @t11 @t10 @t233)) % 1.03/1.39 (define @t238 () (tptp.c_lessequals @t20 @t25 @t21)) % 1.03/1.39 (define @t239 () (not @t238)) % 1.03/1.39 (define @t240 () (not (tptp.c_lessequals @t19 @t43 @t21))) % 1.03/1.39 (define @t241 () (tptp.hAPP @t22 @t25)) % 1.03/1.39 (define @t242 () (tptp.hAPP @t241 @t43)) % 1.03/1.39 (define @t243 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t21))) % 1.03/1.39 (define @t244 () (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t40 @t21)) % 1.03/1.39 (define @t245 () (tptp.hAPP @t22 @t244)) % 1.03/1.39 (define @t246 () (tptp.hAPP @t245 @t20)) % 1.03/1.39 (define @t247 () (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t83 @t21)) % 1.03/1.39 (define @t248 () (tptp.hAPP @t23 @t244)) % 1.03/1.39 (define @t249 () (tptp.c_HOL_Oord__class_Oless @t1 @t83 tptp.tc_nat)) % 1.03/1.39 (define @t250 () (not @t249)) % 1.03/1.39 (define @t251 () (tptp.c_Suc @t7)) % 1.03/1.39 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t7 @t251 tptp.tc_nat)) % 1.03/1.39 (define @t253 () (tptp.c_lessequals @t7 @t7 tptp.tc_nat)) % 1.03/1.39 (define @t254 () (@list @t7)) % 1.03/1.39 (define @t255 () (tptp.hAPP @t22 @t85)) % 1.03/1.39 (define @t256 () (= (tptp.hAPP @t255 @t85) @t85)) % 1.03/1.39 (define @t257 () (not (tptp.c_lessequals @t85 @t85 @t21))) % 1.03/1.39 (define @t258 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t21))) % 1.03/1.39 (define @t259 () (@list @t21)) % 1.03/1.39 (define @t260 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t20 @t21)) % 1.03/1.39 (define @t261 () (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t1 @t21)) % 1.03/1.39 (define @t262 () (@list @t21 @t20 @t1 @t40)) % 1.03/1.39 (define @t263 () (tptp.hAPP @t23 @t25)) % 1.03/1.39 (define @t264 () (@list @t21 @t20 @t25 @t40)) % 1.03/1.39 (define @t265 () (tptp.c_Divides_Odiv__class_Omod @t25 @t19 @t21)) % 1.03/1.39 (define @t266 () (tptp.hAPP @t22 @t102)) % 1.03/1.39 (define @t267 () (tptp.c_Divides_Odiv__class_Omod @t263 @t19 @t21)) % 1.03/1.39 (define @t268 () (tptp.c_lessequals @t85 @t25 @t21)) % 1.03/1.39 (define @t269 () (not @t268)) % 1.03/1.39 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t7 @t109 @t21)) % 1.03/1.39 (define @t271 () (not @t270)) % 1.03/1.39 (define @t272 () (not (tptp.class_Orderings_Opreorder @t21))) % 1.03/1.39 (define @t273 () (@list @t21 @t7 @t122 @t109)) % 1.03/1.39 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t109 @t7 @t21)) % 1.03/1.39 (define @t275 () (not @t274)) % 1.03/1.39 (define @t276 () (not (tptp.class_Orderings_Oorder @t21))) % 1.03/1.39 (define @t277 () (@var "V_T" $$unsorted)) % 1.03/1.39 (define @t278 () (tptp.c_Lambda_OdB_OApp @t178 @t56)) % 1.03/1.39 (define @t279 () (not (tptp.c_Type_Otyping @t44 @t278 @t277))) % 1.03/1.39 (define @t280 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t277 @t44 @t178 @t56)) % 1.03/1.39 (define @t281 () (= @t145 @t109)) % 1.03/1.39 (define @t282 () (tptp.c_lessequals @t109 @t7 @t21)) % 1.03/1.39 (define @t283 () (not @t282)) % 1.03/1.39 (define @t284 () (tptp.hAPP @t22 @t7)) % 1.03/1.39 (define @t285 () (tptp.hAPP @t284 @t109)) % 1.03/1.39 (define @t286 () (tptp.hAPP @t22 @t109)) % 1.03/1.39 (define @t287 () (tptp.hAPP @t286 @t122)) % 1.03/1.39 (define @t288 () (tptp.hAPP @t284 @t287)) % 1.03/1.39 (define @t289 () (tptp.hAPP @t284 @t122)) % 1.03/1.39 (define @t290 () (not (tptp.class_OrderedGroup_Oab__group__add @t21))) % 1.03/1.39 (define @t291 () (tptp.hAPP @t3 @t7)) % 1.03/1.39 (define @t292 () (tptp.hAPP @t291 @t122)) % 1.03/1.39 (define @t293 () (tptp.hAPP @t3 @t109)) % 1.03/1.39 (define @t294 () (tptp.hAPP @t293 @t122)) % 1.03/1.39 (define @t295 () (tptp.hAPP @t241 @t19)) % 1.03/1.39 (define @t296 () (tptp.hAPP @t23 @t295)) % 1.03/1.39 (define @t297 () (tptp.hAPP @t22 @t263)) % 1.03/1.39 (define @t298 () (tptp.hAPP @t297 @t19)) % 1.03/1.39 (define @t299 () (= @t298 @t296)) % 1.03/1.39 (define @t300 () (tptp.hAPP @t22 @t24)) % 1.03/1.39 (define @t301 () (tptp.hAPP @t22 @t19)) % 1.03/1.39 (define @t302 () (tptp.hAPP @t301 @t43)) % 1.03/1.39 (define @t303 () (tptp.hAPP @t23 @t302)) % 1.03/1.39 (define @t304 () (@list @t21 @t20 @t19 @t43)) % 1.03/1.39 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t34 @t78 tptp.tc_nat)) % 1.03/1.39 (define @t306 () (tptp.c_HOL_Oord__class_Oless @t34 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t307 () (tptp.c_Power_Opower__class_Opower @t20 @t1 @t21)) % 1.03/1.39 (define @t308 () (tptp.c_lessequals @t109 @t122 @t21)) % 1.03/1.39 (define @t309 () (not @t308)) % 1.03/1.39 (define @t310 () (tptp.c_lessequals @t145 @t122 @t21)) % 1.03/1.39 (define @t311 () (tptp.c_lessequals @t122 @t7 @t21)) % 1.03/1.39 (define @t312 () (not @t311)) % 1.03/1.39 (define @t313 () (tptp.c_Orderings_Oord__class_Omax @t109 @t122 @t21)) % 1.03/1.39 (define @t314 () (@list @t21 @t109 @t122 @t7)) % 1.03/1.39 (define @t315 () (tptp.c_lessequals @t20 @t7 @t21)) % 1.03/1.39 (define @t316 () (not @t315)) % 1.03/1.39 (define @t317 () (tptp.c_lessequals @t25 @t7 @t21)) % 1.03/1.39 (define @t318 () (not @t317)) % 1.03/1.39 (define @t319 () (tptp.c_Orderings_Oord__class_Omax @t20 @t25 @t21)) % 1.03/1.39 (define @t320 () (tptp.c_lessequals @t319 @t7 @t21)) % 1.03/1.39 (define @t321 () (@list @t21 @t20 @t25 @t7)) % 1.03/1.39 (define @t322 () (@list @t21 @t109 @t7)) % 1.03/1.39 (define @t323 () (@list @t21 @t7)) % 1.03/1.39 (define @t324 () (@var "V_f2" $$unsorted)) % 1.03/1.39 (define @t325 () (@var "V_f1" $$unsorted)) % 1.03/1.39 (define @t326 () (tptp.hAPP @t324 @t106)) % 1.03/1.39 (define @t327 () (tptp.c_Suc @t106)) % 1.03/1.39 (define @t328 () (@list @t325 @t324 @t106 @t21)) % 1.03/1.39 (define @t329 () (@var "V_r1" $$unsorted)) % 1.03/1.39 (define @t330 () (@var "V_r0" $$unsorted)) % 1.03/1.39 (define @t331 () (@var "V_pwr" $$unsorted)) % 1.03/1.39 (define @t332 () (@var "V_mul" $$unsorted)) % 1.03/1.39 (define @t333 () (@var "V_add" $$unsorted)) % 1.03/1.39 (define @t334 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t333 @t332 @t331 @t330 @t329 @t21))) % 1.03/1.39 (define @t335 () (tptp.hAPP @t331 @t7)) % 1.03/1.39 (define @t336 () (tptp.hAPP @t335 @t219)) % 1.03/1.39 (define @t337 () (tptp.c_Orderings_Oord__class_Omin @t109 @t7 @t21)) % 1.03/1.39 (define @t338 () (tptp.c_Orderings_Oord__class_Omin @t7 @t122 @t21)) % 1.03/1.39 (define @t339 () (tptp.c_Orderings_Oord__class_Omax @t110 @t338 @t21)) % 1.03/1.39 (define @t340 () (tptp.c_Orderings_Oord__class_Omin @t7 @t313 @t21)) % 1.03/1.39 (define @t341 () (tptp.c_HOL_Otimes__class_Otimes @t77 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t342 () (tptp.c_lessequals @t25 @t24 @t21)) % 1.03/1.39 (define @t343 () (tptp.c_lessequals @t25 @t20 @t21)) % 1.03/1.39 (define @t344 () (not @t343)) % 1.03/1.39 (define @t345 () (tptp.v_sko__List__Xupt__Xinduct__1 @t35)) % 1.03/1.39 (define @t346 () (@var "V_nat_H" $$unsorted)) % 1.03/1.39 (define @t347 () (= @t106 @t346)) % 1.03/1.39 (define @t348 () (tptp.c_Type_Otype_OAtom @t106)) % 1.03/1.39 (define @t349 () (@list @t106 @t346)) % 1.03/1.39 (define @t350 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t35)) % 1.03/1.39 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t352 () (not @t351)) % 1.03/1.39 (define @t353 () (tptp.c_lessequals @t80 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t354 () (not @t353)) % 1.03/1.39 (define @t355 () (tptp.c_HOL_Oord__class_Oless @t40 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t356 () (tptp.c_lessequals @t83 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t357 () (not @t356)) % 1.03/1.39 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t7 @t109 tptp.tc_nat)) % 1.03/1.39 (define @t359 () (not @t358)) % 1.03/1.39 (define @t360 () (tptp.c_HOL_Oord__class_Oless @t7 @t294 tptp.tc_nat)) % 1.03/1.39 (define @t361 () (tptp.hAPP @t4 @t10)) % 1.03/1.39 (define @t362 () (tptp.c_HOL_Oord__class_Oless @t2 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t363 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t10 tptp.tc_nat))) % 1.03/1.39 (define @t364 () (tptp.hAPP @t235 @t1)) % 1.03/1.39 (define @t365 () (@list @t2 @t10 @t1)) % 1.03/1.39 (define @t366 () (tptp.hAPP @t6 @t10)) % 1.03/1.39 (define @t367 () (@list @t2 @t1 @t10)) % 1.03/1.39 (define @t368 () (tptp.c_lessequals @t19 @t54 @t21)) % 1.03/1.39 (define @t369 () (tptp.c_lessequals @t50 @t48 @t21)) % 1.03/1.39 (define @t370 () (not (tptp.class_Ring__and__Field_Opordered__ring @t21))) % 1.03/1.39 (define @t371 () (not @t369)) % 1.03/1.39 (define @t372 () (@list @t21 @t19 @t25 @t20 @t44 @t43)) % 1.03/1.39 (define @t373 () (tptp.c_lessequals @t46 @t43 @t21)) % 1.03/1.39 (define @t374 () (@list @t21 @t20 @t25 @t44 @t19 @t43)) % 1.03/1.39 (define @t375 () (tptp.c_lessequals @t40 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t376 () (not @t375)) % 1.03/1.39 (define @t377 () (tptp.c_HOL_Ominus__class_Ominus @t80 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t378 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t7 @t21)) % 1.03/1.39 (define @t379 () (tptp.hAPP (tptp.hAPP @t22 @t378) (tptp.c_HOL_Otimes__class_Otimes @t109 @t109 @t21))) % 1.03/1.39 (define @t380 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t21))) % 1.03/1.39 (define @t381 () (tptp.hAPP @t301 @t20)) % 1.03/1.39 (define @t382 () (tptp.hAPP @t241 @t20)) % 1.03/1.39 (define @t383 () (tptp.hAPP @t165 @t1)) % 1.03/1.39 (define @t384 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t233 tptp.tc_nat))) % 1.03/1.39 (define @t385 () (tptp.hAPP @t150 @t40)) % 1.03/1.39 (define @t386 () (= @t1 @t168)) % 1.03/1.39 (define @t387 () (not (= @t149 @t168))) % 1.03/1.39 (define @t388 () (= @t40 @t168)) % 1.03/1.39 (define @t389 () (@var "V_times" $$unsorted)) % 1.03/1.39 (define @t390 () (@var "V_one" $$unsorted)) % 1.03/1.39 (define @t391 () (tptp.c_HOL_Ominus__class_Ominus @t233 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t392 () (tptp.c_HOL_Ominus__class_Ominus @t233 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t393 () (@list @t233 @t40 @t1)) % 1.03/1.39 (define @t394 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t35)) % 1.03/1.39 (define @t395 () (@list @t35 @t40)) % 1.03/1.39 (define @t396 () (not @t306)) % 1.03/1.39 (define @t397 () (@list @t11 @t40 @t1)) % 1.03/1.39 (define @t398 () (= @t77 @t34)) % 1.03/1.39 (define @t399 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t19 @t21)) % 1.03/1.39 (define @t400 () (tptp.c_HOL_Oord__class_Oless @t96 @t399 @t21)) % 1.03/1.39 (define @t401 () (not @t400)) % 1.03/1.39 (define @t402 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t25 @t21)) % 1.03/1.39 (define @t403 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t20 @t21)) % 1.03/1.39 (define @t404 () (tptp.c_HOL_Oord__class_Oless @t403 @t402 @t21)) % 1.03/1.39 (define @t405 () (not @t404)) % 1.03/1.39 (define @t406 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t21))) % 1.03/1.39 (define @t407 () (tptp.c_lessequals @t122 @t145 @t21)) % 1.03/1.39 (define @t408 () (tptp.c_lessequals @t122 @t109 @t21)) % 1.03/1.39 (define @t409 () (@list @t21 @t122 @t109 @t7)) % 1.03/1.39 (define @t410 () (tptp.hAPP (tptp.hAPP @t3 @t219) @t75)) % 1.03/1.39 (define @t411 () (not @t42)) % 1.03/1.39 (define @t412 () (tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 @t35 @t40)) % 1.03/1.39 (define @t413 () (tptp.hAPP @t335 @t75)) % 1.03/1.39 (define @t414 () (tptp.c_Lambda_Oliftn @t40 @t178 @t11)) % 1.03/1.39 (define @t415 () (not @t126)) % 1.03/1.39 (define @t416 () (tptp.c_lessequals @t110 @t122 @t21)) % 1.03/1.39 (define @t417 () (tptp.c_lessequals @t117 @t7 @t21)) % 1.03/1.39 (define @t418 () (not @t118)) % 1.03/1.39 (define @t419 () (= @t25 @t85)) % 1.03/1.39 (define @t420 () (tptp.hAPP @t301 @t27)) % 1.03/1.39 (define @t421 () (tptp.hAPP @t23 @t399)) % 1.03/1.39 (define @t422 () (tptp.hAPP @t23 @t402)) % 1.03/1.39 (define @t423 () (= @t77 (tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv @t135 @t40 tptp.tc_nat)))) % 1.03/1.39 (define @t424 () (= @t109 @t85)) % 1.03/1.39 (define @t425 () (not (tptp.c_lessequals @t85 @t7 @t21))) % 1.03/1.39 (define @t426 () (not (tptp.c_lessequals @t85 @t109 @t21))) % 1.03/1.39 (define @t427 () (not (= @t285 @t85))) % 1.03/1.39 (define @t428 () (= @t7 @t85)) % 1.03/1.39 (define @t429 () (= @t7 @t109)) % 1.03/1.39 (define @t430 () (@list @t7 @t109)) % 1.03/1.39 (define @t431 () (tptp.c_Suc @t346)) % 1.03/1.39 (define @t432 () (@var "V_dB_H" $$unsorted)) % 1.03/1.39 (define @t433 () (tptp.c_Lambda_OdB_OAbs @t432)) % 1.03/1.39 (define @t434 () (tptp.c_Lambda_OdB_OVar @t106)) % 1.03/1.39 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t19 @t54 @t21)) % 1.03/1.39 (define @t436 () (tptp.c_HOL_Oord__class_Oless @t50 @t48 @t21)) % 1.03/1.39 (define @t437 () (not @t436)) % 1.03/1.39 (define @t438 () (tptp.c_HOL_Oord__class_Oless @t46 @t43 @t21)) % 1.03/1.39 (define @t439 () (= @t207 (tptp.c_Divides_Odiv__class_Omod @t135 @t40 tptp.tc_nat))) % 1.03/1.39 (define @t440 () (not (= @t63 @t61))) % 1.03/1.39 (define @t441 () (@var "V_b_H" $$unsorted)) % 1.03/1.39 (define @t442 () (@var "V_a_H" $$unsorted)) % 1.03/1.39 (define @t443 () (not (= @t102 (tptp.c_Divides_Odiv__class_Omod @t442 @t19 @t21)))) % 1.03/1.39 (define @t444 () (not (= @t265 (tptp.c_Divides_Odiv__class_Omod @t441 @t19 @t21)))) % 1.03/1.39 (define @t445 () (@list @t21 @t25 @t19 @t441 @t20 @t442)) % 1.03/1.39 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t20 @t85 @t21)) % 1.03/1.39 (define @t447 () (not @t446)) % 1.03/1.39 (define @t448 () (tptp.c_HOL_Oord__class_Oless @t199 @t85 @t21)) % 1.03/1.39 (define @t449 () (not @t448)) % 1.03/1.39 (define @t450 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21))) % 1.03/1.39 (define @t451 () (not (= @t168 @t78))) % 1.03/1.39 (define @t452 () (= @t1 @t34)) % 1.03/1.39 (define @t453 () (@list @t21 @t25 @t20)) % 1.03/1.39 (define @t454 () (tptp.c_HOL_Oord__class_Oless @t85 @t100 @t21)) % 1.03/1.39 (define @t455 () (not (tptp.c_HOL_Oord__class_Oless @t25 @t85 @t21))) % 1.03/1.39 (define @t456 () (tptp.c_HOL_Oord__class_Oless @t34 @t149 tptp.tc_nat)) % 1.03/1.39 (define @t457 () (tptp.c_Power_Opower__class_Opower @t25 @t40 @t21)) % 1.03/1.39 (define @t458 () (tptp.c_HOL_Oord__class_Oless @t130 @t457 @t21)) % 1.03/1.39 (define @t459 () (not @t310)) % 1.03/1.39 (define @t460 () (tptp.c_lessequals @t168 @t149 tptp.tc_nat)) % 1.03/1.39 (define @t461 () (not @t460)) % 1.03/1.39 (define @t462 () (tptp.c_lessequals @t168 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t463 () (tptp.c_lessequals @t168 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t464 () (tptp.hAPP @t6 @t11)) % 1.03/1.39 (define @t465 () (not (tptp.c_lessequals @t464 @t40 tptp.tc_nat))) % 1.03/1.39 (define @t466 () (tptp.c_lessequals @t11 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t467 () (tptp.c_lessequals @t7 @t294 tptp.tc_nat)) % 1.03/1.39 (define @t468 () (tptp.c_lessequals @t7 @t109 tptp.tc_nat)) % 1.03/1.39 (define @t469 () (tptp.c_Divides_Odiv__class_Omod @t45 @t19 @t21)) % 1.03/1.39 (define @t470 () (not (tptp.class_Divides_Oring__div @t21))) % 1.03/1.39 (define @t471 () (= @t110 @t7)) % 1.03/1.39 (define @t472 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 @t21)) % 1.03/1.39 (define @t473 () (not @t472)) % 1.03/1.39 (define @t474 () (tptp.c_lessequals @t7 @t7 @t21)) % 1.03/1.39 (define @t475 () (tptp.c_Lambda_OdB_OVar @t7)) % 1.03/1.39 (define @t476 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)) % 1.03/1.39 (define @t477 () (@var "V_inc" $$unsorted)) % 1.03/1.39 (define @t478 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t21))) % 1.03/1.39 (define @t479 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t266 @t25) @t19 @t21)) % 1.03/1.39 (define @t480 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t23 @t265) @t19 @t21)) % 1.03/1.39 (define @t481 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t35)) % 1.03/1.39 (define @t482 () (tptp.hBOOL (tptp.hAPP @t35 @t277))) % 1.03/1.39 (define @t483 () (tptp.c_Orderings_Oord__class_Omin @t7 @t125 @t21)) % 1.03/1.39 (define @t484 () (tptp.hAPP @t3 @t34)) % 1.03/1.39 (define @t485 () (tptp.hAPP @t484 @t168)) % 1.03/1.39 (define @t486 () (not (tptp.c_HOL_Oord__class_Oless @t25 @t19 @t21))) % 1.03/1.39 (define @t487 () (not (tptp.c_lessequals @t11 @t1 tptp.tc_nat))) % 1.03/1.39 (define @t488 () (not @t466)) % 1.03/1.39 (define @t489 () (tptp.c_HOL_Ominus__class_Ominus @t40 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t490 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t491 () (tptp.c_lessequals @t490 @t489 tptp.tc_nat)) % 1.03/1.39 (define @t492 () (tptp.hAPP @t235 @t11)) % 1.03/1.39 (define @t493 () (tptp.c_HOL_Ominus__class_Ominus @t69 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t494 () (@list @t21 @t20 @t40 @t25)) % 1.03/1.39 (define @t495 () (@var "V_xa" $$unsorted)) % 1.03/1.39 (define @t496 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t7 @t21)) % 1.03/1.39 (define @t497 () (@var "V_y_H" $$unsorted)) % 1.03/1.39 (define @t498 () (@var "V_x_H" $$unsorted)) % 1.03/1.39 (define @t499 () (tptp.c_HOL_Ominus__class_Ominus @t498 @t497 @t21)) % 1.03/1.39 (define @t500 () (not (= @t216 @t215))) % 1.03/1.39 (define @t501 () (tptp.c_HOL_Oord__class_Oless @t212 @t211 tptp.tc_nat)) % 1.03/1.39 (define @t502 () (not @t501)) % 1.03/1.39 (define @t503 () (tptp.c_HOL_Oord__class_Oless @t216 @t215 tptp.tc_nat)) % 1.03/1.39 (define @t504 () (not @t503)) % 1.03/1.39 (define @t505 () (not @t217)) % 1.03/1.39 (define @t506 () (tptp.c_HOL_Oord__class_Oless @t19 @t85 @t21)) % 1.03/1.39 (define @t507 () (not @t506)) % 1.03/1.39 (define @t508 () (tptp.c_lessequals @t403 @t402 @t21)) % 1.03/1.39 (define @t509 () (not @t508)) % 1.03/1.39 (define @t510 () (@list @t21 @t19 @t20 @t25)) % 1.03/1.39 (define @t511 () (tptp.c_HOL_Oord__class_Oless @t85 @t19 @t21)) % 1.03/1.39 (define @t512 () (not @t511)) % 1.03/1.39 (define @t513 () (tptp.c_lessequals @t96 @t399 @t21)) % 1.03/1.39 (define @t514 () (not (tptp.c_HOL_Oord__class_Oless @t168 @t40 tptp.tc_nat))) % 1.03/1.39 (define @t515 () (not (tptp.c_HOL_Oord__class_Oless @t168 @t1 tptp.tc_nat))) % 1.03/1.39 (define @t516 () (tptp.c_HOL_Oord__class_Oless @t7 @t319 @t21)) % 1.03/1.39 (define @t517 () (tptp.c_HOL_Oord__class_Oless @t122 @t145 @t21)) % 1.03/1.39 (define @t518 () (not @t146)) % 1.03/1.39 (define @t519 () (not @t456)) % 1.03/1.39 (define @t520 () (tptp.c_HOL_Oord__class_Oless @t263 @t85 @t21)) % 1.03/1.39 (define @t521 () (not (tptp.c_lessequals @t379 @t85 @t21))) % 1.03/1.39 (define @t522 () (tptp.hAPP @t324 @t495)) % 1.03/1.39 (define @t523 () (@list @t35 @t325 @t324 @t106)) % 1.03/1.39 (define @t524 () (tptp.c_HOL_Oord__class_Oless @t117 @t7 @t21)) % 1.03/1.39 (define @t525 () (not @t183)) % 1.03/1.39 (define @t526 () (tptp.c_HOL_Oord__class_Oless @t110 @t122 @t21)) % 1.03/1.39 (define @t527 () (tptp.c_HOL_Oord__class_Oless @t85 @t263 @t21)) % 1.03/1.39 (define @t528 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t25 tptp.tc_nat))) % 1.03/1.39 (define @t529 () (tptp.c_lessequals @t25 @t85 @t21)) % 1.03/1.39 (define @t530 () (not @t529)) % 1.03/1.39 (define @t531 () (tptp.c_lessequals @t100 @t85 @t21)) % 1.03/1.39 (define @t532 () (tptp.c_lessequals @t20 @t85 @t21)) % 1.03/1.39 (define @t533 () (not @t532)) % 1.03/1.39 (define @t534 () (not @t408)) % 1.03/1.39 (define @t535 () (tptp.c_lessequals @t7 @t319 @t21)) % 1.03/1.39 (define @t536 () (not @t320)) % 1.03/1.39 (define @t537 () (tptp.c_lessequals @t13 @t2 tptp.tc_nat)) % 1.03/1.39 (define @t538 () (tptp.c_lessequals @t10 @t15 tptp.tc_nat)) % 1.03/1.39 (define @t539 () (@list @t10 @t2 @t11)) % 1.03/1.39 (define @t540 () (@list @t10 @t11 @t2)) % 1.03/1.39 (define @t541 () (tptp.hBOOL (tptp.hAPP @t35 @t2))) % 1.03/1.39 (define @t542 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t2 tptp.tc_nat)) % 1.03/1.39 (define @t543 () (tptp.hAPP (tptp.hAPP @t3 @t542) @t10)) % 1.03/1.39 (define @t544 () (= @t11 @t34)) % 1.03/1.39 (define @t545 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t11 tptp.tc_nat))) % 1.03/1.39 (define @t546 () (@list @t10 @t11 @t35 @t2)) % 1.03/1.39 (define @t547 () (@var "V_dB" $$unsorted)) % 1.03/1.39 (define @t548 () (tptp.c_lessequals @t63 @t61 tptp.tc_nat)) % 1.03/1.39 (define @t549 () (not @t548)) % 1.03/1.39 (define @t550 () (tptp.c_lessequals @t70 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t551 () (tptp.c_lessequals @t1 @t58 tptp.tc_nat)) % 1.03/1.39 (define @t552 () (tptp.hAPP (tptp.hAPP @t3 @t215) @t1)) % 1.03/1.39 (define @t553 () (@var "V_w" $$unsorted)) % 1.03/1.39 (define @t554 () (= @t553 @t7)) % 1.03/1.39 (define @t555 () (= @t109 @t122)) % 1.03/1.39 (define @t556 () (= @t20 @t25)) % 1.03/1.39 (define @t557 () (= @t19 @t43)) % 1.03/1.39 (define @t558 () (tptp.hAPP @t22 @t96)) % 1.03/1.39 (define @t559 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t19 tptp.tc_nat)) % 1.03/1.39 (define @t560 () (@var "V_dB2_H" $$unsorted)) % 1.03/1.39 (define @t561 () (@var "V_dB1_H" $$unsorted)) % 1.03/1.39 (define @t562 () (tptp.c_Lambda_OdB_OApp @t561 @t560)) % 1.03/1.39 (define @t563 () (tptp.c_HOL_Oord__class_Oless @t40 @t80 tptp.tc_nat)) % 1.03/1.39 (define @t564 () (not @t563)) % 1.03/1.39 (define @t565 () (= @t40 @t1)) % 1.03/1.39 (define @t566 () (tptp.c_HOL_Otimes__class_Otimes @t85 @t85 @t21)) % 1.03/1.39 (define @t567 () (tptp.hAPP (tptp.hAPP @t22 @t566) @t566)) % 1.03/1.39 (define @t568 () (tptp.hAPP @t4 @t13)) % 1.03/1.39 (define @t569 () (tptp.c_HOL_Ominus__class_Ominus @t361 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t570 () (tptp.hAPP (tptp.hAPP @t3 @t13) @t2)) % 1.03/1.39 (define @t571 () (tptp.hAPP @t235 @t2)) % 1.03/1.39 (define @t572 () (tptp.c_HOL_Ominus__class_Ominus @t571 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t573 () (@var "V_ry" $$unsorted)) % 1.03/1.39 (define @t574 () (@var "V_ly" $$unsorted)) % 1.03/1.39 (define @t575 () (@var "V_rx" $$unsorted)) % 1.03/1.39 (define @t576 () (@var "V_lx" $$unsorted)) % 1.03/1.39 (define @t577 () (tptp.c_HOL_Otimes__class_Otimes @t576 @t575 @t21)) % 1.03/1.39 (define @t578 () (tptp.c_HOL_Otimes__class_Otimes @t575 @t573 @t21)) % 1.03/1.39 (define @t579 () (tptp.c_HOL_Otimes__class_Otimes @t576 @t574 @t21)) % 1.03/1.39 (define @t580 () (tptp.c_HOL_Otimes__class_Otimes @t579 @t578 @t21)) % 1.03/1.39 (define @t581 () (@list @t21 @t576 @t574 @t575 @t573)) % 1.03/1.39 (define @t582 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t207 tptp.tc_nat)) % 1.03/1.39 (define @t583 () (tptp.c_HOL_Otimes__class_Otimes @t40 @t77 tptp.tc_nat)) % 1.03/1.39 (define @t584 () (@list @t1)) % 1.03/1.39 (define @t585 () (tptp.hAPP @t325 @t106)) % 1.03/1.39 (define @t586 () (tptp.v_sko__List__Xlexn__Xinduct__1 @t35)) % 1.03/1.39 (define @t587 () (tptp.hAPP @t150 @t2)) % 1.03/1.39 (define @t588 () (@list @t2 @t11)) % 1.03/1.39 (define @t589 () (tptp.c_Lambda_Oliftn @t40 @t203 @t11)) % 1.03/1.39 (define @t590 () (@list @t40 @t2 @t11)) % 1.03/1.39 (define @t591 () (tptp.c_Lambda_OdB_OAbs @t175)) % 1.03/1.39 (define @t592 () (@list @t175 @t178)) % 1.03/1.39 (define @t593 () (tptp.c_HOL_Ominus__class_Ominus @t40 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t594 () (tptp.c_lessequals @t45 @t85 @t21)) % 1.03/1.39 (define @t595 () (@var "V_dB2" $$unsorted)) % 1.03/1.39 (define @t596 () (@var "V_dB1" $$unsorted)) % 1.03/1.39 (define @t597 () (tptp.c_Lambda_OdB_OApp @t596 @t595)) % 1.03/1.39 (define @t598 () (not (= @t597 @t562))) % 1.03/1.39 (define @t599 () (@list @t596 @t595 @t561 @t560)) % 1.03/1.39 (define @t600 () (tptp.c_HOL_Oord__class_Oless @t24 @t242 @t21)) % 1.03/1.39 (define @t601 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t21))) % 1.03/1.39 (define @t602 () (tptp.c_HOL_Oord__class_Oless @t45 @t85 @t21)) % 1.03/1.39 (define @t603 () (tptp.c_HOL_Oord__class_Oless @t172 @t171 @t21)) % 1.03/1.39 (define @t604 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t21))) % 1.03/1.39 (define @t605 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t20 @t21)) % 1.03/1.39 (define @t606 () (tptp.c_Suc @t11)) % 1.03/1.39 (define @t607 () (tptp.c_HOL_Otimes__class_Otimes @t606 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t608 () (tptp.c_HOL_Otimes__class_Otimes @t606 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t609 () (tptp.c_HOL_Oord__class_Oless @t608 @t607 tptp.tc_nat)) % 1.03/1.39 (define @t610 () (tptp.c_HOL_Oord__class_Oless @t80 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t611 () (= @t25 @t19)) % 1.03/1.39 (define @t612 () (not (= @t263 @t24))) % 1.03/1.39 (define @t613 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t21))) % 1.03/1.39 (define @t614 () (tptp.hAPP @t332 @t413)) % 1.03/1.39 (define @t615 () (tptp.hAPP @t332 @t7)) % 1.03/1.39 (define @t616 () (tptp.hAPP @t615 @t109)) % 1.03/1.39 (define @t617 () (tptp.hAPP @t333 @t109)) % 1.03/1.39 (define @t618 () (tptp.hAPP @t617 @t122)) % 1.03/1.39 (define @t619 () (tptp.hAPP @t332 @t109)) % 1.03/1.39 (define @t620 () (tptp.hAPP @t332 @t329)) % 1.03/1.39 (define @t621 () (tptp.hAPP @t332 @t330)) % 1.03/1.39 (define @t622 () (tptp.hAPP @t333 @t7)) % 1.03/1.39 (define @t623 () (tptp.hAPP @t622 @t109)) % 1.03/1.39 (define @t624 () (tptp.hAPP @t333 @t330)) % 1.03/1.39 (define @t625 () (tptp.hAPP @t333 @t20)) % 1.03/1.39 (define @t626 () (tptp.hAPP @t625 @t19)) % 1.03/1.39 (define @t627 () (tptp.hAPP @t333 @t626)) % 1.03/1.39 (define @t628 () (tptp.hAPP @t333 @t19)) % 1.03/1.39 (define @t629 () (tptp.hAPP @t628 @t43)) % 1.03/1.39 (define @t630 () (tptp.hAPP @t625 @t629)) % 1.03/1.39 (define @t631 () (@list @t333 @t20 @t19 @t43 @t332 @t331 @t330 @t329 @t21)) % 1.03/1.39 (define @t632 () (tptp.hAPP @t625 @t25)) % 1.03/1.39 (define @t633 () (tptp.hAPP @t333 @t632)) % 1.03/1.39 (define @t634 () (tptp.hAPP @t633 @t19)) % 1.03/1.39 (define @t635 () (@list @t333 @t20 @t25 @t19 @t332 @t331 @t330 @t329 @t21)) % 1.03/1.39 (define @t636 () (tptp.hAPP @t333 @t25)) % 1.03/1.39 (define @t637 () (tptp.hAPP @t332 @t576)) % 1.03/1.39 (define @t638 () (tptp.hAPP @t332 @t575)) % 1.03/1.39 (define @t639 () (tptp.hAPP @t638 @t573)) % 1.03/1.39 (define @t640 () (tptp.hAPP @t637 @t639)) % 1.03/1.39 (define @t641 () (@list @t332 @t576 @t575 @t573 @t333 @t331 @t330 @t329 @t21)) % 1.03/1.39 (define @t642 () (tptp.hAPP @t332 (tptp.hAPP @t637 @t575))) % 1.03/1.39 (define @t643 () (tptp.hAPP @t332 @t574)) % 1.03/1.39 (define @t644 () (tptp.hAPP @t332 (tptp.hAPP @t637 @t574))) % 1.03/1.39 (define @t645 () (tptp.hAPP @t644 @t575)) % 1.03/1.39 (define @t646 () (@list @t332 @t576 @t574 @t575 @t333 @t331 @t330 @t329 @t21)) % 1.03/1.39 (define @t647 () (tptp.hAPP @t644 @t639)) % 1.03/1.39 (define @t648 () (@list @t332 @t576 @t574 @t575 @t573 @t333 @t331 @t330 @t329 @t21)) % 1.03/1.39 (define @t649 () (tptp.hAPP @t332 @t20)) % 1.03/1.39 (define @t650 () (tptp.hAPP @t332 @t25)) % 1.03/1.39 (define @t651 () (tptp.hAPP @t332 @t632)) % 1.03/1.39 (define @t652 () (tptp.hAPP @t333 @t1)) % 1.03/1.39 (define @t653 () (tptp.hAPP (tptp.hAPP @t332 (tptp.hAPP @t625 @t329)) @t1)) % 1.03/1.39 (define @t654 () (tptp.hAPP @t649 @t1)) % 1.03/1.39 (define @t655 () (tptp.hAPP @t333 @t654)) % 1.03/1.39 (define @t656 () (@var "V_xc" $$unsorted)) % 1.03/1.39 (define @t657 () (not (= @t78 @t168))) % 1.03/1.39 (define @t658 () (tptp.c_lessequals @t608 @t607 tptp.tc_nat)) % 1.03/1.39 (define @t659 () (tptp.c_HOL_Oord__class_Oless @t85 @t379 @t21)) % 1.03/1.39 (define @t660 () (not (tptp.c_InductTermi_OIT @t176))) % 1.03/1.39 (define @t661 () (not (tptp.c_Lambda_Obeta @t175 @t178))) % 1.03/1.39 (define @t662 () (@list @t21 @t1)) % 1.03/1.39 (define @t663 () (tptp.c_Orderings_Oord__class_Omax @t109 @t7 @t21)) % 1.03/1.39 (define @t664 () (not @t362)) % 1.03/1.39 (define @t665 () (tptp.c_Lambda_OdB_OApp @t175 @t178)) % 1.03/1.39 (define @t666 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t667 () (tptp.c_HOL_Oord__class_Oless @t25 @t20 @t21)) % 1.03/1.39 (define @t668 () (tptp.c_HOL_Ominus__class_Ominus @t40 @t2 tptp.tc_nat)) % 1.03/1.39 (define @t669 () (@list @t40 @t2)) % 1.03/1.39 (define @t670 () (tptp.c_Orderings_Oord__class_Omin @t1 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t671 () (tptp.c_lessequals @t1 @t83 tptp.tc_nat)) % 1.03/1.39 (define @t672 () (tptp.c_Suc @t2)) % 1.03/1.39 (define @t673 () (tptp.c_lessequals @t24 @t295 @t21)) % 1.03/1.39 (define @t674 () (tptp.hAPP @t301 @t25)) % 1.03/1.39 (define @t675 () (tptp.c_lessequals @t381 @t674 @t21)) % 1.03/1.39 (define @t676 () (tptp.c_lessequals @t151 @t385 tptp.tc_nat)) % 1.03/1.39 (define @t677 () (@list @t2 @t10)) % 1.03/1.39 (define @t678 () (= (tptp.hAPP @t165 @t135) @t1)) % 1.03/1.39 (define @t679 () (tptp.c_Divides_Odiv__class_Omod @t25 @t19 tptp.tc_nat)) % 1.03/1.39 (define @t680 () (tptp.c_Divides_Odiv__class_Odiv @t25 @t19 tptp.tc_nat)) % 1.03/1.39 (define @t681 () (@list @t20 @t25 @t19)) % 1.03/1.39 (define @t682 () (tptp.hAPP @t335 @t76)) % 1.03/1.39 (define @t683 () (tptp.hAPP @t615 @t413)) % 1.03/1.39 (define @t684 () (@var "V_xs" $$unsorted)) % 1.03/1.39 (define @t685 () (tptp.c_Power_Opower__class_Opower @t25 @t83 @t21)) % 1.03/1.39 (define @t686 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t21))) % 1.03/1.39 (define @t687 () (@var "V_xb" $$unsorted)) % 1.03/1.39 (define @t688 () (tptp.c_HOL_Oord__class_Oless @t85 @t171 @t21)) % 1.03/1.39 (define @t689 () (= (tptp.c_Divides_Odiv__class_Odiv @t216 @t215 tptp.tc_nat) @t77)) % 1.03/1.39 (define @t690 () (tptp.c_HOL_Otimes__class_Otimes @t85 @t25 @t21)) % 1.03/1.39 (define @t691 () (tptp.c_HOL_Otimes__class_Otimes @t85 @t20 @t21)) % 1.03/1.39 (define @t692 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t40 tptp.tc_nat)) % 1.03/1.39 (define @t693 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t1 tptp.tc_nat)) % 1.03/1.39 (define @t694 () (not @t531)) % 1.03/1.39 (define @t695 () (tptp.c_HOL_Oord__class_Oless @t100 @t85 @t21)) % 1.03/1.39 (define @t696 () (tptp.c_HOL_Oord__class_Oless @t490 @t489 tptp.tc_nat)) % 1.03/1.39 (define @t697 () (tptp.c_Divides_Odiv__class_Odiv @t20 @t25 tptp.tc_nat)) % 1.03/1.39 (define @t698 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t2 tptp.tc_nat))) % 1.03/1.39 (define @t699 () (tptp.c_Lambda_OdB_OVar @t10)) % 1.03/1.39 (define @t700 () (tptp.c_lessequals @t199 @t85 @t21)) % 1.03/1.39 (define @t701 () (not (tptp.c_lessequals @t19 @t85 @t21))) % 1.03/1.39 (define @t702 () (not (tptp.class_Ring__and__Field_Omult__mono @t21))) % 1.03/1.39 (define @t703 () (not (= @t379 @t85))) % 1.03/1.39 (define @t704 () (tptp.c_HOL_Oord__class_Oless @t2 @t13 tptp.tc_nat)) % 1.03/1.39 (define @t705 () (tptp.c_HOL_Oord__class_Oless @t15 @t10 tptp.tc_nat)) % 1.03/1.39 (define @t706 () (tptp.c_HOL_Oord__class_Oless @t24 @t295 @t21)) % 1.03/1.39 (define @t707 () (tptp.c_HOL_Oord__class_Oless @t381 @t674 @t21)) % 1.03/1.39 (define @t708 () (tptp.c_HOL_Oord__class_Oless @t151 @t385 tptp.tc_nat)) % 1.03/1.39 (define @t709 () (not (tptp.hBOOL (tptp.hAPP @t35 @t11)))) % 1.03/1.39 (define @t710 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 @t35)) % 1.03/1.39 (define @t711 () (@list @t35 @t11)) % 1.03/1.39 (define @t712 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t10 tptp.tc_nat)) % 1.03/1.39 (define @t713 () (@list @t11 @t2 @t10)) % 1.03/1.39 (define @t714 () (tptp.c_HOL_Otimes__class_Otimes @t10 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t715 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t11 tptp.tc_nat)) % 1.03/1.39 (define @t716 () (not @t667)) % 1.03/1.39 (define @t717 () (not (tptp.c_InductTermi_OIT @t178))) % 1.03/1.39 (define @t718 () (@list @t178 @t2)) % 1.03/1.39 (define @t719 () (= @t19 @t85)) % 1.03/1.39 (define @t720 () (tptp.c_lessequals @t96 @t95 @t21)) % 1.03/1.39 (define @t721 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t21))) % 1.03/1.39 (define @t722 () (tptp.c_Orderings_Oord__class_Omax @t7 @t313 @t21)) % 1.03/1.39 (define @t723 () (tptp.c_Orderings_Oord__class_Omax @t7 @t122 @t21)) % 1.03/1.39 (define @t724 () (tptp.c_Lambda_OdB_OAbs @t178)) % 1.03/1.39 (define @t725 () (tptp.c_lessequals @t85 @t100 @t21)) % 1.03/1.39 (define @t726 () (not @t725)) % 1.03/1.39 (define @t727 () (tptp.c_HOL_Oord__class_Oless @t80 @t83 tptp.tc_nat)) % 1.03/1.39 (define @t728 () (tptp.c_HOL_Oord__class_Oless @t85 @t199 @t21)) % 1.03/1.39 (define @t729 () (not (tptp.c_Type_Otyping @t44 @t724 @t277))) % 1.03/1.39 (define @t730 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t277 @t44 @t178)) % 1.03/1.39 (define @t731 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t277 @t44 @t178)) % 1.03/1.39 (define @t732 () (= @t20 @t85)) % 1.03/1.39 (define @t733 () (not (= @t130 @t85))) % 1.03/1.39 (define @t734 () (not (tptp.class_Ring__and__Field_Omult__zero @t21))) % 1.03/1.39 (define @t735 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t21))) % 1.03/1.39 (define @t736 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t21))) % 1.03/1.39 (define @t737 () (= @t691 @t85)) % 1.03/1.39 (define @t738 () (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t85 @t21) @t85)) % 1.03/1.39 (define @t739 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t21))) % 1.03/1.39 (define @t740 () (not (= @t100 @t85))) % 1.03/1.39 (define @t741 () (= @t496 @t85)) % 1.03/1.39 (define @t742 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t109 @t21)) % 1.03/1.39 (define @t743 () (not (= @t45 @t85))) % 1.03/1.39 (define @t744 () (= (tptp.hAPP @t255 @t20) @t20)) % 1.03/1.39 (define @t745 () (= (tptp.hAPP @t23 @t85) @t20)) % 1.03/1.39 (define @t746 () (not (tptp.class_OrderedGroup_Omonoid__add @t21))) % 1.03/1.39 (define @t747 () (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Omod @t40 @t34 tptp.tc_nat)))) % 1.03/1.39 (define @t748 () (tptp.c_HOL_Oord__class_Oless @t34 @t593 tptp.tc_nat)) % 1.03/1.39 (define @t749 () (tptp.c_Orderings_Oord__class_Omin @t145 @t723 @t21)) % 1.03/1.39 (define @t750 () (tptp.c_Orderings_Oord__class_Omax @t7 @t125 @t21)) % 1.03/1.39 (define @t751 () (tptp.c_lessequals @t497 @t498 @t21)) % 1.03/1.39 (define @t752 () (not (= @t742 @t499))) % 1.03/1.39 (define @t753 () (@list @t21 @t7 @t109 @t498 @t497)) % 1.03/1.39 (define @t754 () (tptp.c_HOL_Oord__class_Oless @t498 @t497 @t21)) % 1.03/1.39 (define @t755 () (tptp.c_lessequals @t83 @t80 tptp.tc_nat)) % 1.03/1.39 (define @t756 () (tptp.c_HOL_Otimes__class_Otimes @t579 @t575 @t21)) % 1.03/1.39 (define @t757 () (@list @t21 @t576 @t574 @t575)) % 1.03/1.39 (define @t758 () (tptp.c_HOL_Otimes__class_Otimes @t576 @t578 @t21)) % 1.03/1.39 (define @t759 () (@list @t21 @t576 @t575 @t573)) % 1.03/1.39 (define @t760 () (= (tptp.c_HOL_Otimes__class_Otimes @t263 @t19 @t21) (tptp.hAPP @t558 @t399))) % 1.03/1.39 (define @t761 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t34 tptp.tc_nat)) % 1.03/1.39 (define @t762 () (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Odiv @t40 @t34 tptp.tc_nat)))) % 1.03/1.39 (define @t763 () (@list @t325 @t324 @t21)) % 1.03/1.39 (define @t764 () (@list @t346)) % 1.03/1.39 (define @t765 () (not (= @t78 @t34))) % 1.03/1.39 (define @t766 () (@var "V_f" $$unsorted)) % 1.03/1.39 (define @t767 () (@list @t19)) % 1.03/1.39 (define @t768 () (not (tptp.c_Type_Otyping @t44 @t178 @t277))) % 1.03/1.39 (define @t769 () (@var "V_t_H" $$unsorted)) % 1.03/1.39 (define @t770 () (@var "V_env" $$unsorted)) % 1.03/1.39 (define @t771 () (@var "V_type2_H" $$unsorted)) % 1.03/1.39 (define @t772 () (@var "V_type1_H" $$unsorted)) % 1.03/1.39 (define @t773 () (tptp.c_Type_Otype_OFun @t772 @t771)) % 1.03/1.39 (define @t774 () (@var "V_T2" $$unsorted)) % 1.03/1.39 (define @t775 () (@var "V_T1" $$unsorted)) % 1.03/1.39 (define @t776 () (@var "V_T1a" $$unsorted)) % 1.03/1.39 (define @t777 () (@var "V_type2" $$unsorted)) % 1.03/1.39 (define @t778 () (@var "V_type1" $$unsorted)) % 1.03/1.39 (define @t779 () (tptp.hAPP (tptp.hAPP @t324 @t778) @t777)) % 1.03/1.39 (define @t780 () (tptp.c_Type_Otype_OFun @t778 @t777)) % 1.03/1.39 (define @t781 () (@list @t325 @t324 @t778 @t777 @t21)) % 1.03/1.39 (define @t782 () (tptp.c_Lambda_Olift @t178 @t2)) % 1.03/1.39 (define @t783 () (tptp.c_Lambda_Olift @t178 @t11)) % 1.03/1.39 (define @t784 () (@var "V_U" $$unsorted)) % 1.03/1.39 (define @t785 () (tptp.c_Type_Oshift @t44 @t2 @t784 tptp.tc_Type_Otype)) % 1.03/1.39 (define @t786 () (tptp.c_Lambda_Osubst @t178 @t56 @t2)) % 1.03/1.39 (define @t787 () (= (tptp.c_Power_Opower__class_Opower @t85 @t40 @t21) @t85)) % 1.03/1.39 (define @t788 () (tptp.c_Type_Otype_OFun @t277 @t784)) % 1.03/1.39 (define @t789 () (@var "V_e_H" $$unsorted)) % 1.03/1.39 (define @t790 () (tptp.c_Type_Otype_OFun tptp.v_Ta____ tptp.v_U____)) % 1.03/1.39 (define @t791 () (tptp.c_Type_Oshift tptp.v_ea____ @t34 @t790 tptp.tc_Type_Otype)) % 1.03/1.39 (define @t792 () (forall (@list @t44 @t2 @t784 @t178 @t277) (or (tptp.c_Type_Otyping @t785 @t782 @t277) @t768))) % 1.03/1.39 (define @t793 () (not (= @t780 @t773))) % 1.03/1.39 (define @t794 () (@list @t778 @t777 @t772 @t771)) % 1.03/1.39 (define @t795 () (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_ta____ tptp.v_Ta____)) % 1.03/1.39 (define @t796 () (tptp.c_Type_Otyping @t791 (tptp.c_Lambda_Olift tptp.v_ta____ @t34) tptp.v_Ta____)) % 1.03/1.39 (define @t797 () (@var "T_1" $$unsorted)) % 1.03/1.39 (define @t798 () (@var "T_2" $$unsorted)) % 1.03/1.39 (define @t799 () (tptp.tc_fun @t798 @t797)) % 1.03/1.39 (define @t800 () (@list @t798 @t797)) % 1.03/1.39 (define @t801 () (@var "V_Y" $$unsorted)) % 1.03/1.39 (define @t802 () (@var "V_X" $$unsorted)) % 1.03/1.39 (define @t803 () (not @t795)) % 1.03/1.39 (define @t804 () (or @t796 @t803)) % 1.03/1.39 (define @t805 () (not @t804)) % 1.03/1.39 (define @t806 () (@list true false)) % 1.03/1.39 (assume @p1 (forall @t5 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t4 @t1)) tptp.tc_nat))) % 1.03/1.39 (assume @p2 (forall @t5 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t6 @t2)) tptp.tc_nat))) % 1.03/1.39 (assume @p3 (forall @t9 (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_Suc @t8) tptp.tc_nat))) % 1.03/1.39 (assume @p4 (forall @t17 (or @t16 (not @t14) @t12))) % 1.03/1.39 (assume @p5 (forall @t18 (or @t14 (not @t16) @t12))) % 1.03/1.39 (assume @p6 (forall @t31 (or @t30 (= (tptp.hAPP (tptp.hAPP @t22 @t29) @t19) @t24)))) % 1.03/1.39 (assume @p7 (forall @t33 (or @t30 (= (tptp.hAPP (tptp.hAPP @t22 @t32) @t19) @t24)))) % 1.03/1.39 (assume @p8 (forall (@list @t35 @t40 @t7) (or @t42 @t39 (not (tptp.c_HOL_Oord__class_Oless @t7 @t38 tptp.tc_nat)) @t37))) % 1.03/1.39 (assume @p9 (forall @t53 (or @t52 @t51 (= @t46 @t43)))) % 1.03/1.39 (assume @p10 (forall @t53 (or @t52 @t51 (= @t19 @t54)))) % 1.03/1.39 (assume @p11 (forall @t65 (or @t64 (not @t59) @t55))) % 1.03/1.39 (assume @p12 (forall @t67 (or @t59 @t66 @t55))) % 1.03/1.39 (assume @p13 (forall @t65 (or @t64 (not @t71) @t68))) % 1.03/1.39 (assume @p14 (forall @t72 (or @t71 @t66 @t68))) % 1.03/1.39 (assume @p15 (forall (@list @t21 @t20 @t44 @t25 @t43) (or @t52 (= (tptp.hAPP @t49 @t54) @t48)))) % 1.03/1.39 (assume @p16 (forall (@list @t75 @t1 @t40) (or (= @t75 @t77) (not (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_HOL_Otimes__class_Otimes @t40 @t76 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes @t40 @t75 tptp.tc_nat) @t1 tptp.tc_nat)) @t74))) % 1.03/1.39 (assume @p17 (forall @t82 (= @t81 @t79))) % 1.03/1.39 (assume @p18 (forall @t82 (= @t84 @t79))) % 1.03/1.39 (assume @p19 (forall @t88 (or @t87 @t86 (= (tptp.c_Power_Opower__class_Opower @t85 @t83 @t21) @t85)))) % 1.03/1.39 (assume @p20 (forall @t99 (or @t98 @t97 @t94 @t93 @t91 @t90))) % 1.03/1.39 (assume @p21 (forall @t104 (or @t30 (= @t103 @t101)))) % 1.03/1.39 (assume @p22 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t105)))) @t37))) % 1.03/1.39 (assume @p23 (forall @t112 (or @t111 (tptp.c_lessequals @t110 @t7 @t21)))) % 1.03/1.39 (assume @p24 (forall @t112 (or @t111 (tptp.c_lessequals @t110 @t109 @t21)))) % 1.03/1.39 (assume @p25 (forall @t119 (or @t111 @t118 @t116 @t114))) % 1.03/1.39 (assume @p26 (forall @t127 (or @t111 @t126 @t124 @t121))) % 1.03/1.39 (assume @p27 (forall (@list @t21 @t20 @t44 @t19 @t25) (or @t52 (= @t50 (tptp.hAPP @t47 @t46))))) % 1.03/1.39 (assume @p28 (forall @t132 (or @t131 (tptp.c_lessequals @t85 @t130 @t21) @t129))) % 1.03/1.39 (assume @p29 (forall @t82 (or @t136 @t134))) % 1.03/1.39 (assume @p30 (forall @t82 (or @t137 @t133))) % 1.03/1.39 (assume @p31 (forall @t127 (or @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t110 @t122 @t21) (tptp.c_Orderings_Oord__class_Omin @t139 @t138 @t21))))) % 1.03/1.39 (assume @p32 (forall @t127 (or @t111 @t146 @t144 @t142))) % 1.03/1.39 (assume @p33 (forall @t148 (or (= (tptp.c_Divides_Odiv__class_Odiv @t147 @t40 tptp.tc_nat) @t1) @t74))) % 1.03/1.39 (assume @p34 (forall @t82 (or (= (tptp.c_Divides_Odiv__class_Odiv @t149 @t40 tptp.tc_nat) @t1) @t74))) % 1.03/1.39 (assume @p35 (forall (@list @t10 @t11 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t153 @t1 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t152 @t151 tptp.tc_nat)) @t12))) % 1.03/1.39 (assume @p36 (forall @t156 (or @t155 @t154))) % 1.03/1.39 (assume @p37 (forall @t33 (or @t162 @t161 @t160 @t159 @t158))) % 1.03/1.39 (assume @p38 (forall @t167 (or (tptp.c_HOL_Oord__class_Oless @t1 @t166 tptp.tc_nat) @t134 @t164))) % 1.03/1.39 (assume @p39 (= @t169 @t168)) % 1.03/1.39 (assume @p40 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t25 @t21) @t26)))) % 1.03/1.39 (assume @p41 (forall @t174 (or @t131 @t133 (not @t173)))) % 1.03/1.39 (assume @p42 (forall @t174 (or @t131 @t173 @t134))) % 1.03/1.39 (assume @p43 (forall (@list @t176 @t178 @t2 @t175) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t176 @t178 @t2) (tptp.c_Lambda_Osubst @t175 @t178 @t2)) @t177))) % 1.03/1.39 (assume @p44 (forall @t184 (or @t111 @t183 @t182 @t180))) % 1.03/1.39 (assume @p45 (forall @t187 (= (tptp.hAPP (tptp.hAPP @t3 @t185) @t186) (tptp.hAPP (tptp.hAPP @t3 @t186) @t185)))) % 1.03/1.39 (assume @p46 (forall (@list @t7 @t19 @t43) (= (tptp.hAPP (tptp.hAPP @t3 @t188) @t189) (tptp.hAPP (tptp.hAPP @t3 @t189) @t188)))) % 1.03/1.39 (assume @p47 (forall (@list @t21 @t7 @t19 @t43) (or @t193 @t192 (= (tptp.hAPP (tptp.hAPP @t22 @t190) @t191) (tptp.hAPP (tptp.hAPP @t22 @t191) @t190))))) % 1.03/1.39 (assume @p48 (forall @t127 (or @t193 @t192 (= @t196 (tptp.hAPP (tptp.hAPP @t22 @t195) @t194))))) % 1.03/1.39 (assume @p49 (forall @t82 (= (tptp.c_Orderings_Oord__class_Omax @t80 @t83 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t1 @t40 tptp.tc_nat))))) % 1.03/1.39 (assume @p50 (forall @t198 (or @t197 (not (tptp.c_HOL_Oord__class_Oless @t40 @t168 tptp.tc_nat))))) % 1.03/1.39 (assume @p51 (forall @t202 (or @t201 @t128 (not @t200)))) % 1.03/1.39 (assume @p52 (forall @t202 (or @t201 @t200 @t129))) % 1.03/1.39 (assume @p53 (forall @t82 (tptp.c_lessequals @t77 @t1 tptp.tc_nat))) % 1.03/1.39 (assume @p54 (forall @t112 (or @t111 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t110 @t21) @t110)))) % 1.03/1.39 (assume @p55 (forall (@list @t2 @t175 @t11) (or (= (tptp.c_Lambda_Osubst @t203 @t175 @t11) @t203) (= @t2 @t11) (tptp.c_HOL_Oord__class_Oless @t11 @t2 tptp.tc_nat)))) % 1.03/1.39 (assume @p56 (forall @t65 (or (= @t204 (tptp.c_HOL_Ominus__class_Ominus @t1 @t58 tptp.tc_nat)) @t55))) % 1.03/1.39 (assume @p57 (forall @t65 (or (= @t204 (tptp.c_HOL_Ominus__class_Ominus @t70 @t40 tptp.tc_nat)) @t68))) % 1.03/1.39 (assume @p58 (forall @t170 (or @t205 (= (tptp.hAPP (tptp.hAPP @t22 @t45) @t25) @t20)))) % 1.03/1.39 (assume @p59 (forall (@list @t35 @t25 @t7) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t206 @t7) @t25 tptp.tc_nat)))) @t39))) % 1.03/1.39 (assume @p60 (forall (@list @t35 @t25 @t43) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t206 @t43) @t25 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t35 @t43))))) % 1.03/1.39 (assume @p61 (forall @t82 (or (= @t210 @t208) @t209))) % 1.03/1.39 (assume @p62 (forall @t214 (or @t213 @t163))) % 1.03/1.39 (assume @p63 (forall @t218 (or @t217 @t163))) % 1.03/1.39 (assume @p64 (forall @t223 (or @t222 (= (tptp.c_Power_Opower__class_Opower @t221 @t75 @t21) (tptp.c_Power_Opower__class_Opower @t7 @t220 @t21))))) % 1.03/1.39 (assume @p65 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t224)))) @t37))) % 1.03/1.39 (assume @p66 (forall @t132 (or @t227 (= @t226 @t225)))) % 1.03/1.39 (assume @p67 (forall @t132 (or @t86 (= @t226 @t228)))) % 1.03/1.39 (assume @p68 (forall (@list @t21 @t7 @t40) (or @t222 (= (tptp.c_Power_Opower__class_Opower @t7 @t83 @t21) (tptp.c_HOL_Otimes__class_Otimes @t7 (tptp.c_Power_Opower__class_Opower @t7 @t40 @t21) @t21))))) % 1.03/1.39 (assume @p69 (forall @t232 (or @t222 (= @t231 @t230)))) % 1.03/1.39 (assume @p70 (forall @t237 (or (tptp.c_lessequals @t15 @t236 tptp.tc_nat) @t234 @t55))) % 1.03/1.39 (assume @p71 (forall @t99 (or @t243 (tptp.c_lessequals @t24 @t242 @t21) @t240 @t239))) % 1.03/1.39 (assume @p72 (forall @t132 (or @t161 (= @t247 @t246)))) % 1.03/1.39 (assume @p73 (forall @t132 (or @t161 (= @t247 @t248)))) % 1.03/1.39 (assume @p74 (forall @t82 (or @t249 @t134))) % 1.03/1.39 (assume @p75 (forall @t82 (or @t133 @t250))) % 1.03/1.39 (assume @p76 (forall @t254 (or (not @t253) @t252))) % 1.03/1.39 (assume @p77 (forall @t112 (or @t222 (= @t194 (tptp.c_HOL_Otimes__class_Otimes @t109 @t7 @t21))))) % 1.03/1.39 (assume @p78 (forall @t82 (= @t149 @t147))) % 1.03/1.39 (assume @p79 (forall @t259 (or @t258 @t257 @t257 @t256))) % 1.03/1.39 (assume @p80 (forall @t170 (or @t222 (= @t100 @t260)))) % 1.03/1.39 (assume @p81 (forall @t82 (tptp.c_HOL_Oord__class_Oless @t135 @t80 tptp.tc_nat))) % 1.03/1.39 (assume @p82 (forall @t262 (or @t161 (= (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t78 @t21) (tptp.hAPP (tptp.hAPP @t22 @t261) @t244))))) % 1.03/1.39 (assume @p83 (forall @t264 (or @t161 (= (tptp.c_Power_Opower_Opower @t85 @t22 @t263 @t40 @t21) (tptp.hAPP @t245 (tptp.c_Power_Opower_Opower @t85 @t22 @t25 @t40 @t21)))))) % 1.03/1.39 (assume @p84 (forall @t31 (or @t30 (= @t267 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t266 @t265) @t19 @t21))))) % 1.03/1.39 (assume @p85 (forall @t170 (or @t258 (tptp.c_lessequals @t85 @t263 @t21) @t269 @t129))) % 1.03/1.39 (assume @p86 (forall @t273 (or @t272 @t141 @t144 @t271))) % 1.03/1.39 (assume @p87 (forall @t184 (or @t276 @t179 @t182 @t275))) % 1.03/1.39 (assume @p88 (forall (@list @t44 @t56 @t277 @t178) (or (tptp.c_Type_Otyping @t44 @t56 @t280) @t279))) % 1.03/1.39 (assume @p89 (forall @t112 (or @t111 @t281 @t121))) % 1.03/1.39 (assume @p90 (forall @t112 (or @t111 (not @t281) @t120))) % 1.03/1.39 (assume @p91 (forall @t112 (or @t111 (= @t145 @t7) @t283))) % 1.03/1.39 (assume @p92 (forall @t127 (or @t222 (= @t288 (tptp.hAPP (tptp.hAPP @t22 @t285) @t122))))) % 1.03/1.39 (assume @p93 (forall @t127 (or @t290 (= @t288 (tptp.hAPP @t286 @t289))))) % 1.03/1.39 (assume @p94 (forall @t187 (= (tptp.hAPP @t291 @t294) (tptp.hAPP @t293 @t292)))) % 1.03/1.39 (assume @p95 (forall @t167 (= (tptp.hAPP (tptp.hAPP @t3 @t78) @t11) (tptp.hAPP @t6 @t166)))) % 1.03/1.39 (assume @p96 (forall @t31 (or @t161 @t299))) % 1.03/1.39 (assume @p97 (forall @t31 (or @t161 (= @t296 (tptp.hAPP @t241 @t24))))) % 1.03/1.39 (assume @p98 (forall @t31 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t21)) @t299))) % 1.03/1.39 (assume @p99 (forall @t304 (or @t222 (= @t303 (tptp.hAPP @t300 @t43))))) % 1.03/1.39 (assume @p100 (forall @t31 (or @t222 (= @t298 (tptp.hAPP @t300 @t25))))) % 1.03/1.39 (assume @p101 (forall @t304 (or @t222 (= @t303 (tptp.hAPP @t301 (tptp.hAPP @t23 @t43)))))) % 1.03/1.39 (assume @p102 (forall @t31 (or @t222 @t299))) % 1.03/1.39 (assume @p103 (forall @t148 (or @t73 @t306 (not @t305)))) % 1.03/1.39 (assume @p104 (forall @t262 (or @t227 (= (tptp.c_Power_Opower__class_Opower @t20 @t78 @t21) (tptp.c_HOL_Otimes__class_Otimes @t307 @t130 @t21))))) % 1.03/1.39 (assume @p105 (forall @t127 (or @t111 @t310 @t309 @t124))) % 1.03/1.39 (assume @p106 (forall @t314 (or @t111 (tptp.c_lessequals @t313 @t7 @t21) @t312 @t283))) % 1.03/1.39 (assume @p107 (forall @t321 (or @t111 @t320 @t318 @t316))) % 1.03/1.39 (assume @p108 (forall @t112 (or @t111 (tptp.c_lessequals @t7 @t145 @t21)))) % 1.03/1.39 (assume @p109 (forall @t322 (or @t111 (tptp.c_lessequals @t109 @t145 @t21)))) % 1.03/1.39 (assume @p110 (forall @t323 (or (not (tptp.class_Orderings_Obot @t21)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t21) @t7 @t21)))) % 1.03/1.39 (assume @p111 (forall @t328 (= (tptp.c_Nat_Onat_Onat__rec @t325 @t324 @t327 @t21) (tptp.hAPP @t326 (tptp.c_Nat_Onat_Onat__rec @t325 @t324 @t106 @t21))))) % 1.03/1.39 (assume @p112 (forall (@list @t331 @t7 @t219 @t75 @t333 @t332 @t330 @t329 @t21) (or (= (tptp.hAPP (tptp.hAPP @t331 @t336) @t75) (tptp.hAPP @t335 @t220)) @t334))) % 1.03/1.39 (assume @p113 (forall @t314 (or @t111 (= (tptp.c_Orderings_Oord__class_Omin @t313 @t7 @t21) (tptp.c_Orderings_Oord__class_Omax @t337 (tptp.c_Orderings_Oord__class_Omin @t122 @t7 @t21) @t21))))) % 1.03/1.39 (assume @p114 (forall @t127 (or @t111 (= @t340 @t339)))) % 1.03/1.39 (assume @p115 (forall @t82 (= @t207 (tptp.c_HOL_Ominus__class_Ominus @t1 @t341 tptp.tc_nat)))) % 1.03/1.39 (assume @p116 (forall @t33 (or @t162 @t161 @t342 @t159 @t129))) % 1.03/1.39 (assume @p117 (forall @t33 (or @t162 @t161 @t342 @t344 @t94))) % 1.03/1.39 (assume @p118 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t345)))) @t37))) % 1.03/1.39 (assume @p119 (forall @t349 (or (not (= @t348 (tptp.c_Type_Otype_OAtom @t346))) @t347))) % 1.03/1.39 (assume @p120 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t350)))) @t37))) % 1.03/1.39 (assume @p121 (forall @t82 (or @t353 @t352))) % 1.03/1.39 (assume @p122 (forall @t82 (or @t351 @t354))) % 1.03/1.39 (assume @p123 (forall @t148 (or @t356 (not @t355)))) % 1.03/1.39 (assume @p124 (forall @t148 (or @t355 @t357))) % 1.03/1.39 (assume @p125 (forall @t187 (or @t360 @t359))) % 1.03/1.39 (assume @p126 (forall @t187 (or @t360 (not (tptp.c_HOL_Oord__class_Oless @t7 @t122 tptp.tc_nat))))) % 1.03/1.39 (assume @p127 (forall @t17 (or @t362 (not (tptp.c_HOL_Oord__class_Oless @t361 @t11 tptp.tc_nat))))) % 1.03/1.39 (assume @p128 (forall @t365 (or (tptp.c_HOL_Oord__class_Oless @t2 @t364 tptp.tc_nat) @t363))) % 1.03/1.39 (assume @p129 (forall @t367 (or (tptp.c_HOL_Oord__class_Oless @t2 @t366 tptp.tc_nat) @t363))) % 1.03/1.39 (assume @p130 (forall @t53 (or @t370 @t369 (not @t368)))) % 1.03/1.39 (assume @p131 (forall @t372 (or @t370 @t368 @t371))) % 1.03/1.39 (assume @p132 (forall @t53 (or @t370 @t369 (not @t373)))) % 1.03/1.39 (assume @p133 (forall @t374 (or @t370 @t373 @t371))) % 1.03/1.39 (assume @p134 (forall @t82 (or (= @t377 (tptp.c_Suc @t135)) @t376))) % 1.03/1.39 (assume @p135 (forall @t112 (or @t380 (tptp.c_lessequals @t85 @t379 @t21)))) % 1.03/1.39 (assume @p136 (forall (@list @t21 @t20 @t19) (or @t222 (= @t24 @t381)))) % 1.03/1.39 (assume @p137 (forall @t170 (or @t161 (= @t263 @t382)))) % 1.03/1.39 (assume @p138 (forall @t82 (= @t78 @t383))) % 1.03/1.39 (assume @p139 (forall (@list @t1 @t233 @t11 @t40) (or (not (= (tptp.hAPP @t6 @t233) @t385)) @t384 @t351))) % 1.03/1.39 (assume @p140 (forall @t112 (or @t222 (= @t285 (tptp.hAPP @t286 @t7))))) % 1.03/1.39 (assume @p141 (forall @t82 (or @t387 @t386))) % 1.03/1.39 (assume @p142 (forall @t82 (or @t387 @t388))) % 1.03/1.39 (assume @p143 (forall @t82 (or (tptp.c_lessequals @t207 @t40 tptp.tc_nat) @t74))) % 1.03/1.39 (assume @p144 (forall (@list @t390 @t389 @t20 @t40 @t21) (= (tptp.c_Power_Opower_Opower @t390 @t389 @t20 @t83 @t21) (tptp.hAPP (tptp.hAPP @t389 @t20) (tptp.c_Power_Opower_Opower @t390 @t389 @t20 @t40 @t21))))) % 1.03/1.39 (assume @p145 (forall @t393 (or (tptp.c_HOL_Oord__class_Oless @t392 @t391 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t1 @t233 tptp.tc_nat)) @t352))) % 1.03/1.39 (assume @p146 (forall @t395 (or @t42 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t394)))) @t37))) % 1.03/1.39 (assume @p147 (forall @t174 (or (not (tptp.class_Nat_Osemiring__char__0 @t21)) (not (= @t172 @t171)) @t154))) % 1.03/1.39 (assume @p148 (forall @t397 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t11 @t40 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t11 @t1 tptp.tc_nat) tptp.tc_nat) @t134 @t396))) % 1.03/1.39 (assume @p149 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t26 @t25 @t21) @t85)))) % 1.03/1.39 (assume @p150 (forall @t82 (or @t398 @t352 @t74))) % 1.03/1.39 (assume @p151 (forall @t31 (or @t98 @t89 @t94 @t401))) % 1.03/1.39 (assume @p152 (forall @t31 (or @t98 @t89 @t94 @t405))) % 1.03/1.39 (assume @p153 (forall @t31 (or @t406 @t89 @t94 @t401))) % 1.03/1.39 (assume @p154 (forall @t31 (or @t406 @t89 @t94 @t405))) % 1.03/1.39 (assume @p155 (forall @t31 (or @t30 (= @t101 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t102 @t265 @t21) @t19 @t21))))) % 1.03/1.39 (assume @p156 (forall @t132 (or @t227 (= @t225 @t228)))) % 1.03/1.39 (assume @p157 (forall (@list @t35 @t1 @t40 @t7) (or (tptp.hBOOL (tptp.hAPP @t35 @t77)) (not @t39) (not (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_HOL_Otimes__class_Otimes @t40 @t251 tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes @t40 @t7 tptp.tc_nat) @t1 tptp.tc_nat))))) % 1.03/1.39 (assume @p158 (forall @t409 (or @t111 @t408 @t311 (not @t407)))) % 1.03/1.39 (assume @p159 (forall @t223 (or @t222 (= (tptp.c_HOL_Otimes__class_Otimes @t221 @t229 @t21) (tptp.c_Power_Opower__class_Opower @t7 @t410 @t21))))) % 1.03/1.39 (assume @p160 (forall @t395 (or (tptp.c_lessequals @t412 @t40 tptp.tc_nat) @t411 @t36))) % 1.03/1.39 (assume @p161 (forall (@list @t332 @t331 @t7 @t219 @t75 @t333 @t330 @t329 @t21) (or (= (tptp.hAPP (tptp.hAPP @t332 @t336) @t413) (tptp.hAPP @t335 @t410)) @t334))) % 1.03/1.39 (assume @p162 (forall (@list @t40 @t178 @t11) (= (tptp.c_Lambda_Oliftn @t83 @t178 @t11) (tptp.c_Lambda_Olift @t414 @t11)))) % 1.03/1.39 (assume @p163 (forall (@list @t10 @t2 @t56 @t1) (or @t68 (= @t63 (tptp.hAPP @t60 @t70))))) % 1.03/1.39 (assume @p164 (forall @t198 (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OVar @t40)))) % 1.03/1.39 (assume @p165 (forall @t273 (or @t111 @t123 @t415))) % 1.03/1.39 (assume @p166 (forall @t127 (or @t111 @t120 @t415))) % 1.03/1.39 (assume @p167 (forall @t127 (or @t111 @t416 @t309))) % 1.03/1.39 (assume @p168 (forall @t127 (or @t111 @t416 @t124))) % 1.03/1.39 (assume @p169 (forall @t321 (or @t111 @t417 @t318))) % 1.03/1.39 (assume @p170 (forall @t321 (or @t111 @t417 @t316))) % 1.03/1.39 (assume @p171 (forall (@list @t21 @t7 @t25 @t20) (or @t111 @t115 @t418))) % 1.03/1.39 (assume @p172 (forall @t119 (or @t111 @t113 @t418))) % 1.03/1.39 (assume @p173 (forall @t31 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t421 @t25 @t21) @t420) @t419))) % 1.03/1.39 (assume @p174 (forall @t104 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t422 @t25 @t21) @t420) @t419))) % 1.03/1.39 (assume @p175 (forall @t82 (or @t423 @t351 @t74))) % 1.03/1.39 (assume @p176 (forall @t112 (or @t258 @t427 @t426 @t425 @t424))) % 1.03/1.39 (assume @p177 (forall @t112 (or @t258 @t427 @t426 @t425 @t428))) % 1.03/1.39 (assume @p178 (forall @t430 (or (not (= @t251 (tptp.c_Suc @t109))) @t429))) % 1.03/1.39 (assume @p179 (forall @t349 (or (not (= @t327 @t431)) @t347))) % 1.03/1.39 (assume @p180 (forall (@list @t106 @t432) (not (= @t434 @t433)))) % 1.03/1.39 (assume @p181 (forall @t53 (or @t370 @t436 (not @t435)))) % 1.03/1.39 (assume @p182 (forall @t372 (or @t370 @t435 @t437))) % 1.03/1.39 (assume @p183 (forall @t53 (or @t370 @t436 (not @t438)))) % 1.03/1.39 (assume @p184 (forall @t374 (or @t370 @t438 @t437))) % 1.03/1.39 (assume @p185 (forall @t82 (or @t439 @t376))) % 1.03/1.39 (assume @p186 (forall @t65 (or @t440 @t68 (= @t70 @t40)))) % 1.03/1.39 (assume @p187 (forall @t65 (or @t440 @t55 (= @t1 @t58)))) % 1.03/1.39 (assume @p188 (forall @t314 (or @t111 @t308 @t123 (not @t416)))) % 1.03/1.39 (assume @p189 (forall (@list @t2 @t10 @t56 @t40) (or @t55 (= (tptp.hAPP @t62 @t58) @t61)))) % 1.03/1.39 (assume @p190 (forall @t445 (or @t30 @t444 @t443 (= @t267 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t22 @t442) @t441) @t19 @t21))))) % 1.03/1.39 (assume @p191 (tptp.c_HOL_Oord__class_Oless @t34 @t168 tptp.tc_nat)) % 1.03/1.39 (assume @p192 (forall @t202 (or @t201 @t448 @t447))) % 1.03/1.39 (assume @p193 (forall @t202 (or @t201 @t446 @t449))) % 1.03/1.39 (assume @p194 (forall @t202 (or @t450 @t446 @t449))) % 1.03/1.39 (assume @p195 (forall @t202 (or @t450 @t448 @t447))) % 1.03/1.39 (assume @p196 (forall @t82 (or @t451 @t388 @t386))) % 1.03/1.39 (assume @p197 (forall @t82 (or @t451 @t452 @t197))) % 1.03/1.39 (assume @p198 (forall @t453 (or @t98 @t92 @t158 (not (tptp.c_HOL_Oord__class_Oless @t85 @t260 @t21))))) % 1.03/1.39 (assume @p199 (forall @t453 (or @t98 @t92 @t158 (not @t454)))) % 1.03/1.39 (assume @p200 (forall @t170 (or @t98 @t454 @t93 @t158))) % 1.03/1.39 (assume @p201 (forall @t170 (or @t380 @t454 @t455 @t447))) % 1.03/1.39 (assume @p202 (forall @t82 (or @t456 @t74 @t396))) % 1.03/1.39 (assume @p203 (forall @t264 (or @t131 @t89 @t269 (not @t458)))) % 1.03/1.39 (assume @p204 (forall @t314 (or @t111 @t308 @t459))) % 1.03/1.39 (assume @p205 (forall @t148 (or @t462 @t461))) % 1.03/1.39 (assume @p206 (forall @t82 (or @t463 @t461))) % 1.03/1.39 (assume @p207 (forall (@list @t21 @t7 @t109 @t122 @t56) (or @t290 (not (= @t288 (tptp.hAPP @t286 @t56))) (= @t289 @t56)))) % 1.03/1.39 (assume @p208 (forall @t367 (or (tptp.c_lessequals @t2 @t366 tptp.tc_nat) @t55))) % 1.03/1.39 (assume @p209 (forall @t365 (or (tptp.c_lessequals @t2 @t364 tptp.tc_nat) @t55))) % 1.03/1.39 (assume @p210 (forall @t397 (or @t466 @t465))) % 1.03/1.39 (assume @p211 (forall @t167 (or @t133 @t465))) % 1.03/1.39 (assume @p212 (forall @t187 (or @t467 (not (tptp.c_lessequals @t7 @t122 tptp.tc_nat))))) % 1.03/1.39 (assume @p213 (forall @t187 (or @t467 (not @t468)))) % 1.03/1.39 (assume @p214 (forall @t31 (or @t470 (= @t469 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t102 @t25 @t21) @t19 @t21))))) % 1.03/1.39 (assume @p215 (forall @t31 (or @t470 (= @t469 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t20 @t265 @t21) @t19 @t21))))) % 1.03/1.39 (assume @p216 (forall @t112 (or @t111 @t471 @t121))) % 1.03/1.39 (assume @p217 (forall @t112 (or @t111 (not @t471) @t120))) % 1.03/1.39 (assume @p218 (forall @t112 (or @t111 (= @t110 @t109) @t283))) % 1.03/1.39 (assume @p219 (forall @t127 (or @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t145 @t122 @t21) (tptp.c_Orderings_Oord__class_Omax @t139 @t138 @t21))))) % 1.03/1.39 (assume @p220 (forall @t82 (or (tptp.c_HOL_Oord__class_Oless @t207 @t40 tptp.tc_nat) @t74))) % 1.03/1.39 (assume @p221 (forall @t112 (or @t111 @t270 @t282))) % 1.03/1.39 (assume @p222 (forall @t323 (or @t111 (not @t474) @t473))) % 1.03/1.39 (assume @p223 (forall @t323 (or @t111 @t472 @t474))) % 1.03/1.39 (assume @p224 (forall @t112 (or @t111 @t271 @t283))) % 1.03/1.39 (assume @p225 (forall @t322 (or @t111 @t282 @t270))) % 1.03/1.39 (assume @p226 (forall @t112 (or @t111 @t121 @t275))) % 1.03/1.39 (assume @p227 (forall @t322 (or @t111 @t274 @t120))) % 1.03/1.39 (assume @p228 (forall @t322 (or @t272 @t283 @t271))) % 1.03/1.39 (assume @p229 (forall @t395 (or @t42 (tptp.c_HOL_Oord__class_Oless @t34 @t38 tptp.tc_nat) @t37))) % 1.03/1.39 (assume @p230 (forall (@list @t7 @t175) (or @t476 (= (tptp.c_Lambda_Osubst @t475 @t175 @t7) @t175)))) % 1.03/1.39 (assume @p231 (forall (@list @t21 @t477 @t40 @t2) (or @t478 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t477 @t83 @t2 @t21) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t477 @t40 (tptp.hAPP @t477 @t2) @t21))))) % 1.03/1.39 (assume @p232 (forall @t31 (or @t30 (= @t267 @t479)))) % 1.03/1.39 (assume @p233 (forall @t31 (or @t30 (= @t267 @t480)))) % 1.03/1.39 (assume @p234 (forall (@list @t35 @t277) (or @t482 (not (tptp.hBOOL (tptp.hAPP @t35 @t481)))))) % 1.03/1.39 (assume @p235 (forall @t127 (or @t111 (= (tptp.c_Orderings_Oord__class_Omin @t110 @t122 @t21) @t483)))) % 1.03/1.39 (assume @p236 (forall @t127 (or @t111 (= @t483 (tptp.c_Orderings_Oord__class_Omin @t109 @t338 @t21))))) % 1.03/1.39 (assume @p237 (= @t168 @t485)) % 1.03/1.39 (assume @p238 (forall @t33 (or @t162 @t161 @t160 @t486 @t129))) % 1.03/1.39 (assume @p239 (forall @t393 (or (tptp.c_lessequals @t392 @t391 tptp.tc_nat) @t134))) % 1.03/1.39 (assume @p240 (forall (@list @t1 @t233 @t40) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t1 @t233 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t40 @t233 tptp.tc_nat) tptp.tc_nat) @t134))) % 1.03/1.39 (assume @p241 (forall @t214 (or @t491 @t134 @t488 @t487))) % 1.03/1.39 (assume @p242 (forall @t167 (or @t133 (not @t491) @t488 @t487))) % 1.03/1.39 (assume @p243 (forall @t148 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t383 tptp.tc_nat) @t34))) % 1.03/1.39 (assume @p244 (forall @t18 (= @t493 (tptp.c_HOL_Ominus__class_Ominus @t2 @t492 tptp.tc_nat)))) % 1.03/1.39 (assume @p245 (forall @t494 (or @t131 (tptp.c_lessequals @t130 @t457 @t21) @t129 @t239))) % 1.03/1.39 (assume @p246 (forall (@list @t21 @t495 @t109 @t7) (or @t290 (not (= (tptp.c_HOL_Ominus__class_Ominus @t495 @t109 @t21) @t496)) (= @t495 @t109)))) % 1.03/1.39 (assume @p247 (forall (@list @t21 @t7 @t498 @t497) (or @t290 (not (= @t496 @t499)) (= @t498 @t497)))) % 1.03/1.39 (assume @p248 (forall @t214 (or (not (= @t490 @t489)) @t488 @t487 @t154))) % 1.03/1.39 (assume @p249 (forall @t112 (or @t111 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t145 @t21) @t7)))) % 1.03/1.39 (assume @p250 (forall @t218 (or @t500 @t164 @t154))) % 1.03/1.39 (assume @p251 (forall @t82 (or @t451 @t388 @t197))) % 1.03/1.39 (assume @p252 (forall @t82 (or @t451 @t452 @t386))) % 1.03/1.39 (assume @p253 (forall @t218 (or @t163 @t502))) % 1.03/1.39 (assume @p254 (forall @t218 (or @t163 @t504))) % 1.03/1.39 (assume @p255 (forall @t82 (= @t81 @t84))) % 1.03/1.39 (assume @p256 (forall @t167 (or @t133 @t164 (not @t213)))) % 1.03/1.39 (assume @p257 (forall @t167 (or @t133 @t164 @t505))) % 1.03/1.39 (assume @p258 (forall @t167 (or @t133 @t505 @t164))) % 1.03/1.39 (assume @p259 (forall @t218 (or @t217 @t134 @t164))) % 1.03/1.39 (assume @p260 (forall @t33 (or @t380 @t343 @t509 @t507))) % 1.03/1.39 (assume @p261 (forall @t510 (or @t380 @t508 @t344 @t507))) % 1.03/1.39 (assume @p262 (forall @t31 (or @t380 @t238 @t509 @t512))) % 1.03/1.39 (assume @p263 (forall @t510 (or @t380 @t508 @t239 @t512))) % 1.03/1.39 (assume @p264 (forall @t31 (or @t98 @t238 @t512 @t509))) % 1.03/1.39 (assume @p265 (forall @t31 (or @t98 @t238 @t512 (not @t513)))) % 1.03/1.39 (assume @p266 (forall @t82 (or (tptp.c_HOL_Oord__class_Oless @t168 @t149 tptp.tc_nat) @t515 @t514))) % 1.03/1.39 (assume @p267 (forall @t214 (= (tptp.c_HOL_Ominus__class_Ominus @t464 @t166 tptp.tc_nat) @t135))) % 1.03/1.39 (assume @p268 (forall @t218 (= (tptp.c_HOL_Ominus__class_Ominus @t151 @t385 tptp.tc_nat) @t135))) % 1.03/1.39 (assume @p269 (forall @t198 (tptp.c_HOL_Oord__class_Oless @t34 @t83 tptp.tc_nat))) % 1.03/1.39 (assume @p270 (forall @t254 (tptp.c_HOL_Oord__class_Oless @t34 @t251 tptp.tc_nat))) % 1.03/1.39 (assume @p271 (forall @t119 (or @t111 @t516 (not (tptp.c_HOL_Oord__class_Oless @t7 @t20 @t21))))) % 1.03/1.39 (assume @p272 (forall @t119 (or @t111 @t516 (not (tptp.c_HOL_Oord__class_Oless @t7 @t25 @t21))))) % 1.03/1.39 (assume @p273 (forall @t184 (or @t111 @t517 @t180))) % 1.03/1.39 (assume @p274 (forall @t184 (or @t111 @t517 @t182))) % 1.03/1.39 (assume @p275 (forall @t273 (or @t111 @t141 @t518))) % 1.03/1.39 (assume @p276 (forall @t314 (or @t111 @t143 @t518))) % 1.03/1.39 (assume @p277 (forall @t112 (or @t111 (= @t110 @t337)))) % 1.03/1.39 (assume @p278 (forall (@list @t2 @t56 @t10 @t11) (= (tptp.hAPP @t62 (tptp.hAPP @t60 @t11)) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t361 @t56 tptp.tc_nat)) @t11)))) % 1.03/1.39 (assume @p279 (forall (@list @t21 @t20 @t44 @t25 @t19) (or (not (tptp.class_Ring__and__Field_Osemiring @t21)) (= (tptp.hAPP @t49 (tptp.hAPP @t47 @t19)) (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t263 @t44 @t21)) @t19))))) % 1.03/1.39 (assume @p280 (forall @t82 (tptp.c_lessequals @t135 @t1 tptp.tc_nat))) % 1.03/1.39 (assume @p281 (forall @t148 (or @t73 @t519))) % 1.03/1.39 (assume @p282 (forall @t82 (or @t306 @t519))) % 1.03/1.39 (assume @p283 (forall @t170 (or @t258 @t520 @t455 @t447))) % 1.03/1.39 (assume @p284 (forall @t494 (or @t131 @t458 @t74 @t129 @t90))) % 1.03/1.39 (assume @p285 (forall @t112 (or @t380 @t428 @t521))) % 1.03/1.39 (assume @p286 (forall @t322 (or @t380 @t424 @t521))) % 1.03/1.39 (assume @p287 (forall (@list @t35 @t325 @t324 @t495) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Nat_Onat_Onat__case @t325 @t324 (tptp.c_Suc @t495) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 @t522))))) % 1.03/1.39 (assume @p288 (forall @t523 (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Nat_Onat_Onat__case @t325 @t324 @t327 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 @t326))))) % 1.03/1.39 (assume @p289 (forall @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t135 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t216 @t215 tptp.tc_nat)))) % 1.03/1.39 (assume @p290 (forall @t167 (= (tptp.c_HOL_Otimes__class_Otimes @t135 @t11 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t212 @t211 tptp.tc_nat)))) % 1.03/1.39 (assume @p291 (forall @t321 (or @t111 @t524 (not (tptp.c_HOL_Oord__class_Oless @t20 @t7 @t21))))) % 1.03/1.39 (assume @p292 (forall @t321 (or @t111 @t524 (not (tptp.c_HOL_Oord__class_Oless @t25 @t7 @t21))))) % 1.03/1.39 (assume @p293 (forall @t184 (or @t111 @t179 @t525))) % 1.03/1.39 (assume @p294 (forall @t409 (or @t111 @t181 @t525))) % 1.03/1.39 (assume @p295 (forall @t127 (or @t111 @t526 @t142))) % 1.03/1.39 (assume @p296 (forall @t127 (or @t111 @t526 @t144))) % 1.03/1.39 (assume @p297 (forall @t214 (or (= (tptp.c_HOL_Ominus__class_Ominus @t490 @t489 tptp.tc_nat) @t135) @t488 @t487))) % 1.03/1.39 (assume @p298 (forall @t18 (= @t493 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t2 @t11 tptp.tc_nat) @t10 tptp.tc_nat)))) % 1.03/1.39 (assume @p299 (forall @t170 (or @t258 @t527 @t93 @t129))) % 1.03/1.39 (assume @p300 (forall @t170 (or @t258 @t527 @t269 @t158))) % 1.03/1.39 (assume @p301 (forall @t262 (or @t161 (= (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t149 @t21) (tptp.c_Power_Opower_Opower @t85 @t22 @t261 @t40 @t21))))) % 1.03/1.39 (assume @p302 (forall (@list @t20 @t19 @t25) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t20 @t19 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t25 @t19 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t19 @t20 tptp.tc_nat)) @t528))) % 1.03/1.40 (assume @p303 (forall @t170 (or @t380 @t531 @t530 @t129))) % 1.03/1.40 (assume @p304 (forall @t170 (or @t380 @t531 @t269 @t533))) % 1.03/1.40 (assume @p305 (forall @t273 (or @t111 @t123 @t459))) % 1.03/1.40 (assume @p306 (forall @t184 (or @t111 @t407 @t534))) % 1.03/1.40 (assume @p307 (forall @t184 (or @t111 @t407 @t312))) % 1.03/1.40 (assume @p308 (forall @t119 (or @t111 @t535 @t116))) % 1.03/1.40 (assume @p309 (forall @t119 (or @t111 @t535 @t114))) % 1.03/1.40 (assume @p310 (forall (@list @t21 @t25 @t7 @t20) (or @t111 @t317 @t536))) % 1.03/1.40 (assume @p311 (forall (@list @t21 @t20 @t7 @t25) (or @t111 @t315 @t536))) % 1.03/1.40 (assume @p312 (forall @t539 (or @t538 (not @t537)))) % 1.03/1.40 (assume @p313 (forall @t540 (or @t537 (not @t538)))) % 1.03/1.40 (assume @p314 (forall @t132 (or @t131 (tptp.c_HOL_Oord__class_Oless @t85 @t130 @t21) @t158))) % 1.03/1.40 (assume @p315 (forall @t409 (or @t111 @t181 @t179 (not @t517)))) % 1.03/1.40 (assume @p316 (forall @t82 (= (tptp.c_HOL_Otimes__class_Otimes @t1 @t83 tptp.tc_nat) (tptp.hAPP @t6 @t149)))) % 1.03/1.40 (assume @p317 (forall @t82 (= (tptp.c_HOL_Otimes__class_Otimes @t80 @t40 tptp.tc_nat) (tptp.hAPP @t165 @t149)))) % 1.03/1.40 (assume @p318 (forall @t546 (or @t545 @t544 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Odiv @t543 @t11 tptp.tc_nat)))) @t541))) % 1.03/1.40 (assume @p319 (forall @t328 (= (tptp.c_Nat_Onat_Onat__case @t325 @t324 @t327 @t21) @t326))) % 1.03/1.40 (assume @p320 (tptp.c_InductTermi_OIT tptp.v_s____)) % 1.03/1.40 (assume @p321 (forall (@list @t547 @t432) (or (not (= (tptp.c_Lambda_OdB_OAbs @t547) @t433)) (= @t547 @t432)))) % 1.03/1.40 (assume @p322 (forall @t112 (or @t380 (not (tptp.c_HOL_Oord__class_Oless @t379 @t85 @t21))))) % 1.03/1.40 (assume @p323 (forall @t72 (or @t550 @t549 @t68))) % 1.03/1.40 (assume @p324 (forall @t65 (or @t548 (not @t550) @t68))) % 1.03/1.40 (assume @p325 (forall @t67 (or @t551 @t549 @t55))) % 1.03/1.40 (assume @p326 (forall @t65 (or @t548 (not @t551) @t55))) % 1.03/1.40 (assume @p327 (forall @t174 (or @t478 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t149 @t21) (tptp.c_HOL_Otimes__class_Otimes @t172 @t171 @t21))))) % 1.03/1.40 (assume @p328 (forall @t397 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t552) @t40 tptp.tc_nat) @t210))) % 1.03/1.40 (assume @p329 (forall @t314 (or @t111 @t143 @t141 (not @t526)))) % 1.03/1.40 (assume @p330 (forall (@list @t21 @t553 @t109 @t7 @t122) (or @t193 @t192 (not (= (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t553 @t109 @t21)) @t195) (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t553 @t122 @t21)) @t194))) @t555 @t554))) % 1.03/1.40 (assume @p331 (forall @t99 (or @t193 @t192 (not (= (tptp.hAPP @t558 @t95) (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t20 @t43 @t21)) @t399))) @t557 @t556))) % 1.03/1.40 (assume @p332 (forall (@list @t20 @t19 @t25 @t43) (or (not (= (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t20 @t19 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t25 @t43 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t20 @t43 tptp.tc_nat)) @t559))) @t557 @t556))) % 1.03/1.40 (assume @p333 (forall (@list @t553 @t109 @t7 @t122) (or (not (= (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t553 @t109 tptp.tc_nat)) @t186) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t553 @t122 tptp.tc_nat)) @t185))) @t555 @t554))) % 1.03/1.40 (assume @p334 (forall @t82 (= (tptp.c_HOL_Ominus__class_Ominus @t80 @t83 tptp.tc_nat) @t135))) % 1.03/1.40 (assume @p335 (forall (@list @t106 @t561 @t560) (not (= @t434 @t562)))) % 1.03/1.40 (assume @p336 (forall @t170 (or @t258 @t520 @t455 @t533))) % 1.03/1.40 (assume @p337 (forall @t170 (or @t258 @t520 @t530 @t447))) % 1.03/1.40 (assume @p338 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t100 @t25 @t21) @t20) @t419))) % 1.03/1.40 (assume @p339 (forall @t453 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t260 @t25 @t21) @t20) @t419))) % 1.03/1.40 (assume @p340 (forall @t82 (or @t154 @t351 @t250))) % 1.03/1.40 (assume @p341 (forall @t82 (or @t154 @t564 @t355))) % 1.03/1.40 (assume @p342 (forall @t148 (or @t565 @t564 @t355))) % 1.03/1.40 (assume @p343 (forall @t259 (or @t380 (tptp.c_lessequals @t567 @t85 @t21)))) % 1.03/1.40 (assume @p344 (forall @t445 (or @t30 @t444 @t443 (= @t101 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t442 @t441 @t21) @t19 @t21))))) % 1.03/1.40 (assume @p345 (forall @t18 (or (= @t569 @t568) @t12))) % 1.03/1.40 (assume @p346 (forall @t539 (or (= @t572 @t570) @t12))) % 1.03/1.40 (assume @p347 (= (tptp.c_HOL_Otimes__class_Otimes @t168 @t168 tptp.tc_nat) @t168)) % 1.03/1.40 (assume @p348 (forall @t581 (or @t222 (= @t580 (tptp.c_HOL_Otimes__class_Otimes @t577 (tptp.c_HOL_Otimes__class_Otimes @t574 @t573 @t21) @t21))))) % 1.03/1.40 (assume @p349 (forall @t581 (or @t222 (= @t580 (tptp.c_HOL_Otimes__class_Otimes @t576 (tptp.c_HOL_Otimes__class_Otimes @t574 @t578 @t21) @t21))))) % 1.03/1.40 (assume @p350 (forall @t581 (or @t222 (= @t580 (tptp.c_HOL_Otimes__class_Otimes @t575 (tptp.c_HOL_Otimes__class_Otimes @t579 @t573 @t21) @t21))))) % 1.03/1.40 (assume @p351 (forall @t148 (= @t583 @t582))) % 1.03/1.40 (assume @p352 (forall @t82 (= @t341 @t582))) % 1.03/1.40 (assume @p353 (forall @t18 (or (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t13 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t15 @t10 tptp.tc_nat)) @t12))) % 1.03/1.40 (assume @p354 (forall @t584 (= (tptp.c_Divides_Odiv__class_Omod @t1 @t168 tptp.tc_nat) @t34))) % 1.03/1.40 (assume @p355 (forall @t88 (or @t161 (= (tptp.c_Power_Opower_Opower @t85 @t22 @t85 @t40 @t21) @t85)))) % 1.03/1.40 (assume @p356 (forall (@list @t10 @t40 @t11) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t10 @t40 tptp.tc_nat) @t11 tptp.tc_nat) @t545))) % 1.03/1.40 (assume @p357 (forall @t328 (= (tptp.c_Type_Otype_Otype__rec @t325 @t324 @t348 @t21) @t585))) % 1.03/1.40 (assume @p358 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t586)))) @t37))) % 1.03/1.40 (assume @p359 (forall @t82 (or (= @t207 @t1) @t352))) % 1.03/1.40 (assume @p360 (= @t168 @t169)) % 1.03/1.40 (assume @p361 (forall @t112 (or @t272 @t270 @t282 @t121))) % 1.03/1.40 (assume @p362 (forall @t254 (not @t476))) % 1.03/1.40 (assume @p363 (forall @t198 (not (tptp.c_HOL_Oord__class_Oless @t40 @t40 tptp.tc_nat)))) % 1.03/1.40 (assume @p364 (forall @t323 (or @t276 @t473))) % 1.03/1.40 (assume @p365 (forall @t323 (or @t111 @t473))) % 1.03/1.40 (assume @p366 (forall @t323 (or @t272 @t473))) % 1.03/1.40 (assume @p367 (forall @t588 (or (not (tptp.c_lessequals @t2 @t587 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t587 @t2 tptp.tc_nat) @t11)))) % 1.03/1.40 (assume @p368 (forall @t323 (or @t111 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t7 @t21) @t7)))) % 1.03/1.40 (assume @p369 (forall @t590 (or (= @t589 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t4 @t40))) @t362))) % 1.03/1.40 (assume @p370 (forall @t592 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t591 @t178) (tptp.c_Lambda_Osubst @t175 @t178 @t34)))) % 1.03/1.40 (assume @p371 (forall @t170 (or @t258 @t527 @t93 @t158))) % 1.03/1.40 (assume @p372 (forall @t148 (tptp.c_lessequals @t40 @t383 tptp.tc_nat))) % 1.03/1.40 (assume @p373 (forall @t148 (tptp.c_lessequals @t40 @t78 tptp.tc_nat))) % 1.03/1.40 (assume @p374 (forall @t9 (tptp.c_lessequals @t1 @t8 tptp.tc_nat))) % 1.03/1.40 (assume @p375 (forall @t148 (= (tptp.hAPP (tptp.hAPP @t3 @t593) @t1) (tptp.c_Orderings_Oord__class_Omax @t40 @t1 tptp.tc_nat)))) % 1.03/1.40 (assume @p376 (forall @t322 (or @t450 @t274 @t270 @t429))) % 1.03/1.40 (assume @p377 (forall @t112 (or @t111 @t429 @t274 @t270))) % 1.03/1.40 (assume @p378 (forall @t82 (or @t154 @t376 @t134))) % 1.03/1.40 (assume @p379 (forall @t148 (or @t355 @t351 @t154))) % 1.03/1.40 (assume @p380 (forall (@list @t35 @t40 @t1) (or (tptp.hBOOL (tptp.hAPP @t41 @t1)) @t355 @t154 @t351))) % 1.03/1.40 (assume @p381 (forall (@list @t109 @t7) (or (tptp.c_HOL_Oord__class_Oless @t109 @t7 tptp.tc_nat) @t358 @t429))) % 1.03/1.40 (assume @p382 (forall @t112 (or @t276 @t429 @t283 @t121))) % 1.03/1.40 (assume @p383 (forall @t322 (or @t111 @t274 @t270 @t429))) % 1.03/1.40 (assume @p384 (forall @t112 (or @t276 @t429 @t121 @t283))) % 1.03/1.40 (assume @p385 (forall @t322 (or @t111 @t274 @t429 @t270))) % 1.03/1.40 (assume @p386 (forall @t112 (or @t111 @t429 @t270 @t274))) % 1.03/1.40 (assume @p387 (forall @t445 (or @t470 @t444 @t443 (= @t469 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t442 @t441 @t21) @t19 @t21))))) % 1.03/1.40 (assume @p388 (forall @t170 (or @t140 @t238 (not @t594)))) % 1.03/1.40 (assume @p389 (forall @t170 (or @t140 @t594 @t239))) % 1.03/1.40 (assume @p390 (forall @t323 (or @t111 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t7 @t21) @t7)))) % 1.03/1.40 (assume @p391 (forall @t599 (or @t598 (= @t595 @t560)))) % 1.03/1.40 (assume @p392 (forall @t599 (or @t598 (= @t596 @t561)))) % 1.03/1.40 (assume @p393 (forall @t99 (or @t601 @t600 @t91 @t90))) % 1.03/1.40 (assume @p394 (forall @t237 (or (tptp.c_HOL_Oord__class_Oless @t15 @t236 tptp.tc_nat) @t384 @t363))) % 1.03/1.40 (assume @p395 (forall @t430 (or @t468 @t359))) % 1.03/1.40 (assume @p396 (forall @t82 (or @t133 @t352))) % 1.03/1.40 (assume @p397 (forall @t112 (or @t276 @t120 @t271))) % 1.03/1.40 (assume @p398 (forall @t112 (or @t272 @t120 @t271))) % 1.03/1.40 (assume @p399 (forall (@list @t2 @t178) (not (tptp.c_Lambda_Obeta @t203 @t178)))) % 1.03/1.40 (assume @p400 (forall (@list @t1 @t10 @t11) (or (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t153 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t464 @t152 tptp.tc_nat)) @t12))) % 1.03/1.40 (assume @p401 (forall @t170 (or @t140 @t89 (not @t602)))) % 1.03/1.40 (assume @p402 (forall @t170 (or @t140 @t602 @t90))) % 1.03/1.40 (assume @p403 (forall @t174 (or @t131 @t603 @t352))) % 1.03/1.40 (assume @p404 (forall @t170 (or @t604 @t531 @t530 @t129))) % 1.03/1.40 (assume @p405 (forall @t170 (or @t604 @t531 @t269 @t533))) % 1.03/1.40 (assume @p406 (forall @t453 (or @t604 (tptp.c_lessequals @t260 @t85 @t21) @t530 @t129))) % 1.03/1.40 (assume @p407 (forall @t202 (or @t380 (not (tptp.c_HOL_Oord__class_Oless @t605 @t85 @t21))))) % 1.03/1.40 (assume @p408 (forall @t218 (or @t609 @t352))) % 1.03/1.40 (assume @p409 (forall @t167 (or @t351 (not @t609)))) % 1.03/1.40 (assume @p410 (forall @t82 (or @t610 (= @t80 @t40) @t352))) % 1.03/1.40 (assume @p411 (forall @t82 (or @t134 @t357))) % 1.03/1.40 (assume @p412 (forall @t148 (or @t356 @t133))) % 1.03/1.40 (assume @p413 (forall @t187 (or (not (= (tptp.hAPP @t291 @t109) @t292)) @t555))) % 1.03/1.40 (assume @p414 (forall @t214 (or (not (= @t464 @t166)) @t154))) % 1.03/1.40 (assume @p415 (forall @t218 (or (not (= @t151 @t385)) @t154))) % 1.03/1.40 (assume @p416 (forall @t127 (or @t193 @t192 (not (= @t285 @t289)) @t555))) % 1.03/1.40 (assume @p417 (forall @t31 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t21)) @t612 @t611))) % 1.03/1.40 (assume @p418 (forall @t31 (or @t613 @t612 @t611))) % 1.03/1.40 (assume @p419 (forall @t33 (or @t613 (not (= @t382 @t381)) @t611))) % 1.03/1.40 (assume @p420 (forall @t82 (tptp.c_lessequals @t207 @t1 tptp.tc_nat))) % 1.03/1.40 (assume @p421 (forall @t127 (or @t162 (= (tptp.hAPP (tptp.hAPP @t22 @t110) @t122) (tptp.c_Orderings_Oord__class_Omin @t289 @t287 @t21))))) % 1.03/1.40 (assume @p422 (forall @t167 (or (tptp.c_lessequals @t1 (tptp.c_HOL_Ominus__class_Ominus @t383 @t11 tptp.tc_nat) tptp.tc_nat) @t488))) % 1.03/1.40 (assume @p423 (forall @t31 (or @t470 (= @t469 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t102 @t265 @t21) @t19 @t21))))) % 1.03/1.40 (assume @p424 (forall (@list @t331 @t332 @t7 @t109 @t75 @t333 @t330 @t329 @t21) (or (= (tptp.hAPP (tptp.hAPP @t331 @t616) @t75) (tptp.hAPP @t614 (tptp.hAPP (tptp.hAPP @t331 @t109) @t75))) @t334))) % 1.03/1.40 (assume @p425 (forall (@list @t332 @t7 @t333 @t109 @t122 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t615 @t618) (tptp.hAPP (tptp.hAPP @t333 @t616) (tptp.hAPP @t615 @t122))) @t334))) % 1.03/1.40 (assume @p426 (forall (@list @t332 @t7 @t109 @t333 @t331 @t330 @t329 @t21) (or (= @t616 (tptp.hAPP @t619 @t7)) @t334))) % 1.03/1.40 (assume @p427 (forall (@list @t332 @t7 @t109 @t122 @t333 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t615 (tptp.hAPP @t619 @t122)) (tptp.hAPP (tptp.hAPP @t332 @t616) @t122)) @t334))) % 1.03/1.40 (assume @p428 (forall (@list @t332 @t329 @t7 @t333 @t331 @t330 @t21) (or (= (tptp.hAPP @t620 @t7) @t7) @t334))) % 1.03/1.40 (assume @p429 (forall (@list @t332 @t330 @t7 @t333 @t331 @t329 @t21) (or (= (tptp.hAPP @t621 @t7) @t330) @t334))) % 1.03/1.40 (assume @p430 (forall (@list @t333 @t7 @t109 @t332 @t331 @t330 @t329 @t21) (or (= @t623 (tptp.hAPP @t617 @t7)) @t334))) % 1.03/1.40 (assume @p431 (forall (@list @t333 @t7 @t109 @t122 @t332 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t622 @t618) (tptp.hAPP (tptp.hAPP @t333 @t623) @t122)) @t334))) % 1.03/1.40 (assume @p432 (forall (@list @t333 @t330 @t7 @t332 @t331 @t329 @t21) (or (= (tptp.hAPP @t624 @t7) @t7) @t334))) % 1.03/1.40 (assume @p433 (forall @t631 (or (= @t630 (tptp.hAPP @t627 @t43)) @t334))) % 1.03/1.40 (assume @p434 (forall (@list @t333 @t20 @t19 @t332 @t331 @t330 @t329 @t21) (or (= @t626 (tptp.hAPP @t628 @t20)) @t334))) % 1.03/1.40 (assume @p435 (forall @t635 (or (= @t634 (tptp.hAPP @t627 @t25)) @t334))) % 1.03/1.40 (assume @p436 (forall @t631 (or (= @t630 (tptp.hAPP @t628 (tptp.hAPP @t625 @t43))) @t334))) % 1.03/1.40 (assume @p437 (forall @t635 (or (= @t634 (tptp.hAPP @t625 (tptp.hAPP @t636 @t19))) @t334))) % 1.03/1.40 (assume @p438 (forall (@list @t333 @t20 @t25 @t19 @t43 @t332 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t633 @t629) (tptp.hAPP @t627 (tptp.hAPP @t636 @t43))) @t334))) % 1.03/1.40 (assume @p439 (forall @t641 (or (= @t640 (tptp.hAPP @t638 (tptp.hAPP @t637 @t573))) @t334))) % 1.03/1.40 (assume @p440 (forall @t641 (or (= @t640 (tptp.hAPP @t642 @t573)) @t334))) % 1.03/1.40 (assume @p441 (forall @t646 (or (= @t645 (tptp.hAPP @t637 (tptp.hAPP @t643 @t575))) @t334))) % 1.03/1.40 (assume @p442 (forall @t646 (or (= @t645 (tptp.hAPP @t642 @t574)) @t334))) % 1.03/1.40 (assume @p443 (forall @t648 (or (= @t647 (tptp.hAPP @t638 (tptp.hAPP @t644 @t573))) @t334))) % 1.03/1.40 (assume @p444 (forall @t648 (or (= @t647 (tptp.hAPP @t637 (tptp.hAPP @t643 @t639))) @t334))) % 1.03/1.40 (assume @p445 (forall @t648 (or (= @t647 (tptp.hAPP @t642 (tptp.hAPP @t643 @t573))) @t334))) % 1.03/1.40 (assume @p446 (forall (@list @t332 @t20 @t329 @t333 @t331 @t330 @t21) (or (= (tptp.hAPP @t649 @t329) @t20) @t334))) % 1.03/1.40 (assume @p447 (forall (@list @t332 @t329 @t20 @t333 @t331 @t330 @t21) (or (= (tptp.hAPP @t620 @t20) @t20) @t334))) % 1.03/1.40 (assume @p448 (forall (@list @t332 @t20 @t330 @t333 @t331 @t329 @t21) (or (= (tptp.hAPP @t649 @t330) @t330) @t334))) % 1.03/1.40 (assume @p449 (forall (@list @t332 @t330 @t20 @t333 @t331 @t329 @t21) (or (= (tptp.hAPP @t621 @t20) @t330) @t334))) % 1.03/1.40 (assume @p450 (forall (@list @t332 @t333 @t20 @t25 @t19 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t651 @t19) (tptp.hAPP (tptp.hAPP @t333 (tptp.hAPP @t649 @t19)) (tptp.hAPP @t650 @t19))) @t334))) % 1.03/1.40 (assume @p451 (forall (@list @t332 @t20 @t25 @t333 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t649 @t25) (tptp.hAPP @t650 @t20)) @t334))) % 1.03/1.40 (assume @p452 (forall (@list @t333 @t20 @t330 @t332 @t331 @t329 @t21) (or (= (tptp.hAPP @t625 @t330) @t20) @t334))) % 1.03/1.40 (assume @p453 (forall (@list @t333 @t330 @t20 @t332 @t331 @t329 @t21) (or (= (tptp.hAPP @t624 @t20) @t20) @t334))) % 1.03/1.40 (assume @p454 (forall (@list @t333 @t1 @t332 @t329 @t331 @t330 @t21) (or (= (tptp.hAPP @t652 @t1) (tptp.hAPP (tptp.hAPP @t332 (tptp.hAPP (tptp.hAPP @t333 @t329) @t329)) @t1)) @t334))) % 1.03/1.40 (assume @p455 (forall (@list @t333 @t1 @t332 @t20 @t329 @t331 @t330 @t21) (or (= (tptp.hAPP @t652 @t654) @t653) @t334))) % 1.03/1.40 (assume @p456 (forall (@list @t333 @t332 @t20 @t1 @t329 @t331 @t330 @t21) (or (= (tptp.hAPP @t655 @t1) @t653) @t334))) % 1.03/1.40 (assume @p457 (forall (@list @t333 @t332 @t20 @t1 @t25 @t331 @t330 @t329 @t21) (or (= (tptp.hAPP @t655 (tptp.hAPP @t650 @t1)) (tptp.hAPP @t651 @t1)) @t334))) % 1.03/1.40 (assume @p458 (forall @t82 (or (not @t209) (= @t210 @t34)))) % 1.03/1.40 (assume @p459 (forall (@list @t35 @t325 @t324 @t656) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Type_Otype_Otype__case @t325 @t324 (tptp.c_Type_Otype_OAtom @t656) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t325 @t656)))))) % 1.03/1.40 (assume @p460 (forall @t523 (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Type_Otype_Otype__case @t325 @t324 @t348 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 @t585))))) % 1.03/1.40 (assume @p461 (forall @t31 (or @t30 (= @t101 @t103)))) % 1.03/1.40 (assume @p462 (forall @t31 (or @t30 (= @t101 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t20 @t265 @t21) @t19 @t21))))) % 1.03/1.40 (assume @p463 (forall @t82 (or @t657 @t388 @t197))) % 1.03/1.40 (assume @p464 (forall @t82 (or @t657 @t452 @t386))) % 1.03/1.40 (assume @p465 (forall @t167 (= (tptp.c_HOL_Ominus__class_Ominus @t377 @t606 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t135 @t11 tptp.tc_nat)))) % 1.03/1.40 (assume @p466 (forall @t214 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t1 @t11 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t40 @t11 tptp.tc_nat) tptp.tc_nat) @t134))) % 1.03/1.40 (assume @p467 (forall @t82 (or @t398 @t352))) % 1.03/1.40 (assume @p468 (forall @t218 (or @t658 @t134))) % 1.03/1.40 (assume @p469 (forall @t167 (or @t133 (not @t658)))) % 1.03/1.40 (assume @p470 (forall @t112 (or @t380 @t659 @t428))) % 1.03/1.40 (assume @p471 (forall @t112 (or @t380 @t659 @t424))) % 1.03/1.40 (assume @p472 (forall (@list @t176) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs @t176)) @t660))) % 1.03/1.40 (assume @p473 (forall (@list @t21 @t20 @t25 @t19 @t43) (or @t222 (= (tptp.hAPP @t297 @t302) (tptp.hAPP @t300 @t242))))) % 1.03/1.40 (assume @p474 (forall (@list @t56 @t175 @t178) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t56 @t175) (tptp.c_Lambda_OdB_OApp @t56 @t178)) @t661))) % 1.03/1.40 (assume @p475 (forall (@list @t175 @t56 @t178) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t175 @t56) @t278) @t661))) % 1.03/1.40 (assume @p476 (forall @t662 (or @t131 (not (tptp.c_HOL_Oord__class_Oless @t172 @t85 @t21))))) % 1.03/1.40 (assume @p477 (forall @t112 (or @t111 (= @t145 @t663)))) % 1.03/1.40 (assume @p478 (forall @t494 (or @t131 (not (= @t130 @t457)) @t556 @t74 @t269 @t129))) % 1.03/1.40 (assume @p479 (forall @t590 (or (= @t589 @t203) @t664))) % 1.03/1.40 (assume @p480 (forall @t198 (tptp.c_lessequals @t83 @t83 tptp.tc_nat))) % 1.03/1.40 (assume @p481 (forall (@list @t2 @t11 @t7 @t21) (= (tptp.c_List_Odrop @t2 (tptp.c_List_Oreplicate @t11 @t7 @t21) @t21) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t11 @t2 tptp.tc_nat) @t7 @t21)))) % 1.03/1.40 (assume @p482 (forall @t127 (or @t111 (tptp.c_lessequals @t339 @t340 @t21)))) % 1.03/1.40 (assume @p483 (forall (@list @t40 @t175 @t178 @t11) (= (tptp.c_Lambda_Oliftn @t40 @t665 @t11) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t40 @t175 @t11) @t414)))) % 1.03/1.40 (assume @p484 (forall (@list @t106) (= (tptp.c_nat_Onat__size @t327) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_nat_Onat__size @t106)) @t168)))) % 1.03/1.40 (assume @p485 (forall @t112 (or @t111 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t110 @t21) @t7)))) % 1.03/1.40 (assume @p486 (forall @t584 (tptp.c_lessequals @t1 @t666 tptp.tc_nat))) % 1.03/1.40 (assume @p487 (forall @t510 (or @t380 @t506 @t511 @t405))) % 1.03/1.40 (assume @p488 (forall @t33 (or @t380 @t667 @t89 @t405))) % 1.03/1.40 (assume @p489 (forall @t510 (or @t380 @t506 @t511 @t401))) % 1.03/1.40 (assume @p490 (forall @t33 (or @t380 @t667 @t89 @t401))) % 1.03/1.40 (assume @p491 (forall @t669 (or (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t668 tptp.tc_nat) @t2) (not (tptp.c_lessequals @t2 @t40 tptp.tc_nat))))) % 1.03/1.40 (assume @p492 (forall @t588 (or (= (tptp.c_Lambda_Olift @t203 @t11) @t203) @t664))) % 1.03/1.40 (assume @p493 (forall @t82 (= (tptp.c_Orderings_Oord__class_Omin @t80 @t83 tptp.tc_nat) (tptp.c_Suc @t670)))) % 1.03/1.40 (assume @p494 (forall @t82 (or (= @t1 @t83) @t133 (not @t671)))) % 1.03/1.40 (assume @p495 (forall @t254 (or @t476 @t252))) % 1.03/1.40 (assume @p496 (forall @t82 (or @t352 @t564))) % 1.03/1.40 (assume @p497 (forall @t148 (or @t563 @t351))) % 1.03/1.40 (assume @p498 (forall @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t207 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t216 @t215 tptp.tc_nat)))) % 1.03/1.40 (assume @p499 (forall @t167 (= (tptp.c_HOL_Otimes__class_Otimes @t207 @t11 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t212 @t211 tptp.tc_nat)))) % 1.03/1.40 (assume @p500 (forall @t214 (or @t501 @t352 @t164))) % 1.03/1.40 (assume @p501 (forall @t218 (or @t503 @t352 @t164))) % 1.03/1.40 (assume @p502 (forall @t174 (or @t131 @t351 (not @t603)))) % 1.03/1.40 (assume @p503 (forall @t198 (tptp.c_HOL_Oord__class_Oless @t40 @t83 tptp.tc_nat))) % 1.03/1.40 (assume @p504 (forall @t254 @t252)) % 1.03/1.40 (assume @p505 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t672 @t11 tptp.tc_nat) @t545 @t363))) % 1.03/1.40 (assume @p506 (forall @t104 (or @t162 @t673 @t239))) % 1.03/1.40 (assume @p507 (forall @t31 (or @t162 @t238 (not @t673)))) % 1.03/1.40 (assume @p508 (forall @t510 (or @t162 @t675 @t239))) % 1.03/1.40 (assume @p509 (forall @t31 (or @t162 @t238 (not @t675)))) % 1.03/1.40 (assume @p510 (forall @t104 (or @t243 @t673 @t239))) % 1.03/1.40 (assume @p511 (forall @t510 (or @t243 @t675 @t239))) % 1.03/1.40 (assume @p512 (forall @t17 (or (tptp.c_lessequals @t15 @t492 tptp.tc_nat) @t55))) % 1.03/1.40 (assume @p513 (forall @t167 (or @t133 (not @t676)))) % 1.03/1.40 (assume @p514 (forall @t218 (or @t676 @t134))) % 1.03/1.40 (assume @p515 (forall @t677 (or @t55 (= @t10 (tptp.hAPP (tptp.hAPP @t3 @t57) @t2))))) % 1.03/1.40 (assume @p516 (forall @t148 (or @t678 @t376))) % 1.03/1.40 (assume @p517 (forall @t82 (or (= (tptp.hAPP (tptp.hAPP @t3 @t135) @t40) @t1) @t376))) % 1.03/1.40 (assume @p518 (forall @t681 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t20 @t25 tptp.tc_nat) @t19 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t20 @t680 tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Otimes__class_Otimes @t20 @t679 tptp.tc_nat) @t19 tptp.tc_nat))))) % 1.03/1.40 (assume @p519 (forall (@list @t332 @t7 @t331 @t75 @t333 @t330 @t329 @t21) (or (= @t683 @t682) @t334))) % 1.03/1.40 (assume @p520 (forall (@list @t332 @t331 @t7 @t75 @t333 @t330 @t329 @t21) (or (= (tptp.hAPP @t614 @t7) @t682) @t334))) % 1.03/1.40 (assume @p521 (forall (@list @t331 @t7 @t75 @t332 @t333 @t330 @t329 @t21) (or (= @t682 @t683) @t334))) % 1.03/1.40 (assume @p522 (forall (@list @t331 @t7 @t40 @t332 @t333 @t330 @t329 @t21) (or (= (tptp.hAPP @t335 @t83) (tptp.hAPP @t615 (tptp.hAPP @t335 @t40))) @t334))) % 1.03/1.40 (assume @p523 (forall @t167 (or @t351 @t504))) % 1.03/1.40 (assume @p524 (forall @t167 (or @t351 @t502))) % 1.03/1.40 (assume @p525 (forall @t18 (or (= @t568 @t569) @t12))) % 1.03/1.40 (assume @p526 (forall @t540 (or (= @t570 @t572) @t12))) % 1.03/1.40 (assume @p527 (forall (@list @t40 @t1 @t684 @t21) (= (tptp.c_List_Odrop @t40 (tptp.c_List_Odrop @t1 @t684 @t21) @t21) (tptp.c_List_Odrop @t383 @t684 @t21)))) % 1.03/1.40 (assume @p528 (forall @t264 (or @t131 @t238 @t269 (not (tptp.c_lessequals @t226 @t685 @t21))))) % 1.03/1.40 (assume @p529 (forall @t112 (or @t686 (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t194 @t21) @t194)))) % 1.03/1.40 (assume @p530 (forall (@list @t7 @t40 @t495 @t109 @t687) (or (not (= (tptp.hAPP @t291 (tptp.c_HOL_Otimes__class_Otimes @t40 @t495 tptp.tc_nat)) (tptp.hAPP @t293 (tptp.c_HOL_Otimes__class_Otimes @t40 @t687 tptp.tc_nat)))) (= (tptp.c_Divides_Odiv__class_Omod @t7 @t40 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t109 @t40 tptp.tc_nat))))) % 1.03/1.40 (assume @p531 (forall @t88 (or @t131 @t688 @t74))) % 1.03/1.40 (assume @p532 (forall @t88 (or @t131 @t73 (not @t688)))) % 1.03/1.40 (assume @p533 (forall @t99 (or @t98 @t97 @t512 @t129 @t240 @t90))) % 1.03/1.40 (assume @p534 (forall @t99 (or @t98 @t97 @t94 @t158 @t91 @t239))) % 1.03/1.40 (assume @p535 (forall @t218 (or @t689 @t164))) % 1.03/1.40 (assume @p536 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t691 @t690 @t21) @t85)))) % 1.03/1.40 (assume @p537 (forall @t82 (= (tptp.c_Divides_Odiv__class_Odiv @t693 @t692 tptp.tc_nat) @t34))) % 1.03/1.40 (assume @p538 (forall @t232 (or @t222 (= @t230 @t231)))) % 1.03/1.40 (assume @p539 (forall @t232 (or @t222 (= (tptp.c_HOL_Otimes__class_Otimes @t229 @t7 @t21) @t231)))) % 1.03/1.40 (assume @p540 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t263 @t25 @t21) @t26)))) % 1.03/1.40 (assume @p541 (forall @t453 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t382 @t25 @t21) @t26)))) % 1.03/1.40 (assume @p542 (forall @t453 (or @t380 @t268 @t529 @t694))) % 1.03/1.40 (assume @p543 (forall @t170 (or @t380 @t532 @t529 @t694))) % 1.03/1.40 (assume @p544 (forall @t453 (or @t380 @t268 @t128 @t694))) % 1.03/1.40 (assume @p545 (forall @t170 (or @t380 @t532 @t128 @t694))) % 1.03/1.40 (assume @p546 (forall @t453 (or @t98 (tptp.c_HOL_Oord__class_Oless @t260 @t85 @t21) @t455 @t158))) % 1.03/1.40 (assume @p547 (forall @t170 (or @t98 @t695 @t455 @t158))) % 1.03/1.40 (assume @p548 (forall @t170 (or @t98 @t695 @t93 @t447))) % 1.03/1.40 (assume @p549 (forall @t132 (or @t161 (= @t246 @t248)))) % 1.03/1.40 (assume @p550 (forall @t82 (or @t133 @t354))) % 1.03/1.40 (assume @p551 (forall @t82 (or @t671 @t134))) % 1.03/1.40 (assume @p552 (forall @t148 (or (tptp.c_HOL_Oord__class_Oless @t40 @t149 tptp.tc_nat) @t515 @t514))) % 1.03/1.40 (assume @p553 (forall @t148 (or (tptp.c_HOL_Oord__class_Oless @t40 @t147 tptp.tc_nat) @t515 @t514))) % 1.03/1.40 (assume @p554 (forall @t198 (not (tptp.c_lessequals @t83 @t40 tptp.tc_nat)))) % 1.03/1.40 (assume @p555 (forall @t167 (or @t351 (not @t696) @t488 @t487))) % 1.03/1.40 (assume @p556 (forall @t214 (or @t696 @t352 @t488 @t487))) % 1.03/1.40 (assume @p557 (forall @t33 (or @t131 @t160 @t486 @t158))) % 1.03/1.40 (assume @p558 (forall @t681 (= (tptp.c_Divides_Odiv__class_Omod @t20 @t559 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t25 (tptp.c_Divides_Odiv__class_Omod @t697 @t19 tptp.tc_nat) tptp.tc_nat)) (tptp.c_Divides_Odiv__class_Omod @t20 @t25 tptp.tc_nat))))) % 1.03/1.40 (assume @p559 (forall (@list @t10 @t56 @t2) (or (= (tptp.c_Lambda_Osubst @t699 @t56 @t2) @t699) @t698))) % 1.03/1.40 (assume @p560 (forall (@list @t176 @t2 @t10) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t176 @t203 @t10)) @t660))) % 1.03/1.40 (assume @p561 (forall @t202 (or @t201 @t700 @t533))) % 1.03/1.40 (assume @p562 (forall @t202 (or @t201 @t532 (not @t700)))) % 1.03/1.40 (assume @p563 (forall @t677 (not (tptp.c_HOL_Oord__class_Oless @t361 @t2 tptp.tc_nat)))) % 1.03/1.40 (assume @p564 (forall (@list @t10 @t2) (not (tptp.c_HOL_Oord__class_Oless @t571 @t2 tptp.tc_nat)))) % 1.03/1.40 (assume @p565 (forall @t174 (or (not (tptp.class_Ring__and__Field_Oring__1 @t21)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t135 @t21) (tptp.c_HOL_Ominus__class_Ominus @t172 @t171 @t21)) @t376))) % 1.03/1.40 (assume @p566 (forall @t681 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t559 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t697 @t19 tptp.tc_nat)))) % 1.03/1.40 (assume @p567 (forall (@list @t25 @t75 @t19 @t176) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP @t3 (tptp.c_HOL_Otimes__class_Otimes @t25 (tptp.c_Divides_Odiv__class_Omod @t75 @t19 tptp.tc_nat) tptp.tc_nat)) @t176) @t559 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t176 @t25 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t34 @t19 tptp.tc_nat))))) % 1.03/1.40 (assume @p568 (forall @t104 (or @t370 @t513 @t701 @t344))) % 1.03/1.40 (assume @p569 (forall @t510 (or @t370 @t508 @t701 @t344))) % 1.03/1.40 (assume @p570 (forall @t104 (or @t702 @t513 @t94 @t239))) % 1.03/1.40 (assume @p571 (forall @t510 (or @t702 @t508 @t94 @t239))) % 1.03/1.40 (assume @p572 (forall @t510 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t21)) @t508 @t94 @t239))) % 1.03/1.40 (assume @p573 (forall @t82 (or @t439 @t351))) % 1.03/1.40 (assume @p574 (forall (@list @t21 @t7 @t176 @t19 @t43) (or @t193 @t192 (not (= (tptp.hAPP @t284 (tptp.c_HOL_Otimes__class_Otimes @t176 @t19 @t21)) (tptp.hAPP @t284 (tptp.c_HOL_Otimes__class_Otimes @t176 @t43 @t21)))) @t557 (= @t176 @t85)))) % 1.03/1.40 (assume @p575 (forall (@list @t7 @t176 @t19 @t43) (or (not (= (tptp.hAPP @t291 (tptp.c_HOL_Otimes__class_Otimes @t176 @t19 tptp.tc_nat)) (tptp.hAPP @t291 (tptp.c_HOL_Otimes__class_Otimes @t176 @t43 tptp.tc_nat)))) @t557 (= @t176 @t34)))) % 1.03/1.40 (assume @p576 (forall @t112 (or @t380 @t703 @t424))) % 1.03/1.40 (assume @p577 (forall @t112 (or @t380 @t703 @t428))) % 1.03/1.40 (assume @p578 (forall @t82 (or @t423 @t376 @t74))) % 1.03/1.40 (assume @p579 (forall @t17 (or @t705 (not @t704)))) % 1.03/1.40 (assume @p580 (forall @t18 (or @t704 (not @t705)))) % 1.03/1.40 (assume @p581 (forall @t198 (not (= @t83 @t40)))) % 1.03/1.40 (assume @p582 (forall @t198 (not (= @t40 @t83)))) % 1.03/1.40 (assume @p583 (forall @t82 (= @t210 (tptp.c_Divides_Odiv__class_Omod @t208 @t40 tptp.tc_nat)))) % 1.03/1.40 (assume @p584 (forall @t104 (or @t601 @t706 @t90))) % 1.03/1.40 (assume @p585 (forall @t104 (or @t162 @t706 @t90))) % 1.03/1.40 (assume @p586 (forall @t31 (or @t162 @t89 (not @t706)))) % 1.03/1.40 (assume @p587 (forall @t510 (or @t601 @t707 @t90))) % 1.03/1.40 (assume @p588 (forall @t510 (or @t162 @t707 @t90))) % 1.03/1.40 (assume @p589 (forall @t31 (or @t162 @t89 (not @t707)))) % 1.03/1.40 (assume @p590 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t15 @t492 tptp.tc_nat) @t363))) % 1.03/1.40 (assume @p591 (forall @t167 (or @t351 (not @t708)))) % 1.03/1.40 (assume @p592 (forall @t218 (or @t708 @t352))) % 1.03/1.40 (assume @p593 (forall @t711 (or @t36 (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Suc @t710))) @t709))) % 1.03/1.40 (assume @p594 (forall @t82 (or @t460 (not @t462) (not @t463)))) % 1.03/1.40 (assume @p595 (forall @t184 (or @t276 @t311 @t534 @t283))) % 1.03/1.40 (assume @p596 (forall @t184 (or @t276 @t179 @t534 @t275))) % 1.03/1.40 (assume @p597 (forall @t184 (or @t276 @t179 @t182 @t283))) % 1.03/1.40 (assume @p598 (forall @t170 (or @t258 (tptp.c_lessequals @t263 @t85 @t21) @t530 @t533))) % 1.03/1.40 (assume @p599 (forall @t273 (or @t272 @t123 @t309 @t121))) % 1.03/1.40 (assume @p600 (forall @t198 (tptp.c_lessequals @t40 @t40 tptp.tc_nat))) % 1.03/1.40 (assume @p601 (forall @t17 (or (tptp.c_lessequals @t2 @t11 tptp.tc_nat) (not (tptp.c_lessequals @t10 @t11 tptp.tc_nat)) @t55))) % 1.03/1.40 (assume @p602 (forall @t713 (or (tptp.c_HOL_Oord__class_Oless @t542 @t712 tptp.tc_nat) @t164 @t363))) % 1.03/1.40 (assume @p603 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t715 @t714 tptp.tc_nat) @t164 @t363))) % 1.03/1.40 (assume @p604 (forall @t167 (or @t351 @t504 @t164))) % 1.03/1.40 (assume @p605 (forall @t33 (or @t380 @t667 @t405 @t507))) % 1.03/1.40 (assume @p606 (forall @t510 (or @t380 @t404 @t716 @t507))) % 1.14/1.40 (assume @p607 (forall @t31 (or @t380 @t89 @t405 @t512))) % 1.14/1.40 (assume @p608 (forall @t510 (or @t380 @t404 @t90 @t512))) % 1.14/1.40 (assume @p609 (forall @t510 (or @t380 @t404 @t507 @t716))) % 1.14/1.40 (assume @p610 (forall @t510 (or @t98 @t404 @t512 @t90))) % 1.14/1.40 (assume @p611 (forall @t104 (or @t380 @t400 @t507 @t716))) % 1.14/1.40 (assume @p612 (forall @t104 (or @t98 @t400 @t512 @t90))) % 1.14/1.40 (assume @p613 (forall @t104 (or @t380 @t400 @t90 @t512))) % 1.14/1.40 (assume @p614 (forall @t104 (or @t380 @t400 @t716 @t507))) % 1.14/1.40 (assume @p615 (forall @t510 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t21)) @t404 @t512 @t90))) % 1.14/1.40 (assume @p616 (forall @t681 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t3 @t20) @t25) @t19 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t3 (tptp.hAPP (tptp.hAPP @t3 (tptp.c_Divides_Odiv__class_Odiv @t20 @t19 tptp.tc_nat)) @t680)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t3 (tptp.c_Divides_Odiv__class_Omod @t20 @t19 tptp.tc_nat)) @t679) @t19 tptp.tc_nat))))) % 1.14/1.40 (assume @p617 (forall @t127 (or @t162 (= (tptp.hAPP (tptp.hAPP @t22 @t145) @t122) (tptp.c_Orderings_Oord__class_Omax @t289 @t287 @t21))))) % 1.14/1.40 (assume @p618 (forall @t718 (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OApp @t178 @t203)) @t717))) % 1.14/1.40 (assume @p619 (forall @t494 (or @t131 (not (= @t226 @t685)) @t556 @t269 @t129))) % 1.14/1.40 (assume @p620 (forall @t510 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t403 @t402 @t21) @t27) @t719))) % 1.14/1.40 (assume @p621 (forall @t104 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t96 @t399 @t21) @t27) @t719))) % 1.14/1.40 (assume @p622 (forall @t218 (or @t689 @t544))) % 1.14/1.40 (assume @p623 (forall @t237 (or (tptp.c_lessequals @t715 (tptp.c_HOL_Otimes__class_Otimes @t10 @t233 tptp.tc_nat) tptp.tc_nat) @t234 @t55))) % 1.14/1.40 (assume @p624 (forall @t584 (tptp.c_lessequals @t1 (tptp.c_HOL_Otimes__class_Otimes @t1 @t666 tptp.tc_nat) tptp.tc_nat))) % 1.14/1.40 (assume @p625 (forall @t99 (or @t721 @t720 @t94 @t269 @t240 @t239))) % 1.14/1.40 (assume @p626 (forall @t99 (or @t721 @t720 @t94 @t129 @t240 @t239))) % 1.14/1.40 (assume @p627 (forall @t127 (or @t111 (= (tptp.c_Orderings_Oord__class_Omax @t145 @t122 @t21) @t722)))) % 1.14/1.40 (assume @p628 (forall @t127 (or @t111 (= @t722 (tptp.c_Orderings_Oord__class_Omax @t109 @t723 @t21))))) % 1.14/1.40 (assume @p629 (forall @t397 (= (tptp.c_Divides_Odiv__class_Omod @t552 @t40 tptp.tc_nat) @t207))) % 1.14/1.40 (assume @p630 (forall @t104 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t422 @t25 @t21) @t26)))) % 1.14/1.40 (assume @p631 (forall @t31 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t421 @t25 @t21) @t26)))) % 1.14/1.40 (assume @p632 (forall (@list @t21 @t20 @t1 @t25) (or @t222 (= (tptp.hAPP (tptp.hAPP @t22 (tptp.c_HOL_Otimes__class_Otimes @t20 @t1 @t21)) (tptp.c_HOL_Otimes__class_Otimes @t25 @t1 @t21)) (tptp.c_HOL_Otimes__class_Otimes @t263 @t1 @t21))))) % 1.14/1.40 (assume @p633 (forall @t148 (or @t74 (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_HOL_Otimes__class_Otimes @t40 (tptp.c_Suc @t77) tptp.tc_nat) tptp.tc_nat)))) % 1.14/1.40 (assume @p634 (forall @t88 (or @t131 (tptp.c_lessequals @t85 @t171 @t21)))) % 1.14/1.40 (assume @p635 (forall @t662 (or @t131 (tptp.c_lessequals @t85 @t172 @t21)))) % 1.14/1.40 (assume @p636 (forall @t259 (or @t380 (not (tptp.c_HOL_Oord__class_Oless @t85 @t567 @t21))))) % 1.14/1.40 (assume @p637 (forall @t592 (or (tptp.c_Lambda_Obeta @t591 @t724) @t661))) % 1.14/1.40 (assume @p638 (forall @t112 (or @t111 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t145 @t21) @t145)))) % 1.14/1.40 (assume @p639 (forall @t584 (= (tptp.c_Divides_Odiv__class_Odiv @t1 @t168 tptp.tc_nat) @t1))) % 1.14/1.40 (assume @p640 (forall @t170 (or @t380 @t532 @t128 @t726))) % 1.14/1.40 (assume @p641 (forall @t453 (or @t380 @t529 @t128 @t726))) % 1.14/1.40 (assume @p642 (forall @t170 (or @t380 @t532 @t268 @t726))) % 1.14/1.40 (assume @p643 (forall @t453 (or @t380 @t529 @t268 @t726))) % 1.14/1.40 (assume @p644 (forall @t82 (= (tptp.c_HOL_Ominus__class_Ominus @t78 @t40 tptp.tc_nat) @t1))) % 1.14/1.40 (assume @p645 (forall @t148 (= (tptp.c_HOL_Ominus__class_Ominus @t383 @t40 tptp.tc_nat) @t1))) % 1.14/1.40 (assume @p646 (forall @t170 (or @t205 (= (tptp.c_HOL_Ominus__class_Ominus @t263 @t25 @t21) @t20)))) % 1.14/1.40 (assume @p647 (forall @t328 (= (tptp.c_Type_Otype_Otype__case @t325 @t324 @t348 @t21) @t585))) % 1.14/1.40 (assume @p648 (forall @t430 (or (= (tptp.c_Nitpick_Onat__gcd @t7 @t109) (tptp.c_Nitpick_Onat__gcd @t109 (tptp.c_Divides_Odiv__class_Omod @t7 @t109 tptp.tc_nat))) (= @t109 @t34)))) % 1.14/1.40 (assume @p649 (forall @t546 (or @t545 @t544 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Omod @t543 @t11 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t35 @t10))))) % 1.14/1.40 (assume @p650 (forall @t99 (or @t601 @t600 @t91 @t239))) % 1.14/1.40 (assume @p651 (forall @t99 (or @t601 @t600 @t240 @t90))) % 1.14/1.40 (assume @p652 (forall (@list @t561 @t560 @t106) (not (= @t562 @t434)))) % 1.14/1.40 (assume @p653 (forall (@list @t7 @t40) (or (tptp.c_HOL_Oord__class_Oless @t251 @t83 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t7 @t40 tptp.tc_nat))))) % 1.14/1.40 (assume @p654 (forall @t82 (or @t351 (not @t727)))) % 1.14/1.40 (assume @p655 (forall @t82 (or @t727 @t352))) % 1.14/1.40 (assume @p656 (forall @t82 (or @t305 @t74))) % 1.14/1.40 (assume @p657 (forall @t82 (or @t305 @t396))) % 1.14/1.40 (assume @p658 (forall @t202 (or @t201 @t157 (not @t728)))) % 1.14/1.40 (assume @p659 (forall @t202 (or @t201 @t728 @t158))) % 1.14/1.40 (assume @p660 (forall (@list @t277 @t44 @t178) (or (= @t277 (tptp.c_Type_Otype_OFun @t731 @t730)) @t729))) % 1.14/1.40 (assume @p661 (forall @t132 (or @t736 @t735 @t734 @t86 @t733 @t732))) % 1.14/1.40 (assume @p662 (forall @t132 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t21)) @t733 @t732))) % 1.14/1.40 (assume @p663 (forall @t323 (or @t222 (= (tptp.c_HOL_Otimes__class_Otimes @t85 @t7 @t21) @t85)))) % 1.14/1.40 (assume @p664 (forall @t202 (or @t734 @t737))) % 1.14/1.40 (assume @p665 (forall @t202 (or @t734 @t738))) % 1.14/1.40 (assume @p666 (forall (@list @t21 @t25) (or @t739 (= @t690 @t85)))) % 1.14/1.40 (assume @p667 (forall @t202 (or @t739 @t738))) % 1.14/1.40 (assume @p668 (forall @t202 (or @t222 @t738))) % 1.14/1.40 (assume @p669 (forall @t202 (or @t222 @t737))) % 1.14/1.40 (assume @p670 (forall @t170 (or @t735 @t740 @t732 @t419))) % 1.14/1.40 (assume @p671 (forall @t170 (or @t735 @t740 @t419 @t732))) % 1.14/1.40 (assume @p672 (forall @t170 (or @t739 @t740 @t419 @t732))) % 1.14/1.40 (assume @p673 (forall @t202 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t85 @t21) @t85)))) % 1.14/1.40 (assume @p674 (forall @t202 (or @t30 (= (tptp.c_Divides_Odiv__class_Odiv @t85 @t20 @t21) @t85)))) % 1.14/1.40 (assume @p675 (forall @t202 (or @t201 (not (= @t199 @t85)) @t732))) % 1.14/1.40 (assume @p676 (forall @t323 (or @t193 @t192 @t741))) % 1.14/1.40 (assume @p677 (forall @t202 (or @t205 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t21) @t85)))) % 1.14/1.40 (assume @p678 (forall @t202 (or @t205 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t85 @t21) @t20)))) % 1.14/1.40 (assume @p679 (forall @t323 (or @t205 @t741))) % 1.14/1.40 (assume @p680 (forall @t323 (or @t290 @t741))) % 1.14/1.40 (assume @p681 (forall (@list @t21 @t7 @t20) (or @t193 @t192 (not (= @t7 (tptp.hAPP @t284 @t20))) @t732))) % 1.14/1.40 (assume @p682 (forall @t202 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t20 @t20 @t21) @t85)))) % 1.14/1.40 (assume @p683 (forall @t202 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t20 @t85 @t21) @t20)))) % 1.14/1.40 (assume @p684 (forall @t202 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t85 @t20 @t21) @t85)))) % 1.14/1.40 (assume @p685 (forall @t259 (or @t201 @t256))) % 1.14/1.40 (assume @p686 (forall @t112 (or @t193 @t192 (not (= @t742 @t85)) @t429))) % 1.14/1.40 (assume @p687 (forall @t170 (or @t205 @t743 @t556))) % 1.14/1.40 (assume @p688 (forall @t170 (or @t290 @t743 @t556))) % 1.14/1.40 (assume @p689 (forall @t323 (or @t222 (= (tptp.hAPP @t255 @t7) @t7)))) % 1.14/1.40 (assume @p690 (forall @t202 (or @t161 @t744))) % 1.14/1.40 (assume @p691 (forall @t323 (or @t193 @t192 (= @t7 (tptp.hAPP @t284 @t85))))) % 1.14/1.40 (assume @p692 (forall @t202 (or @t161 @t745))) % 1.14/1.40 (assume @p693 (forall @t202 (or @t746 @t744))) % 1.14/1.40 (assume @p694 (forall @t202 (or @t746 @t745))) % 1.14/1.40 (assume @p695 (forall @t202 (or @t222 @t745))) % 1.14/1.40 (assume @p696 (forall @t202 (or @t222 @t744))) % 1.14/1.40 (assume @p697 (forall @t202 (or @t161 (= (tptp.c_Power_Opower_Opower @t85 @t22 @t20 @t34 @t21) @t85)))) % 1.14/1.40 (assume @p698 (forall @t395 (or @t411 @t747))) % 1.14/1.40 (assume @p699 (forall @t254 @t253)) % 1.14/1.40 (assume @p700 (forall @t323 (or @t276 @t474))) % 1.14/1.40 (assume @p701 (forall @t323 (or @t272 @t474))) % 1.14/1.40 (assume @p702 (forall @t273 (or @t272 @t141 @t144 @t121))) % 1.14/1.40 (assume @p703 (forall @t273 (or @t272 @t141 @t309 @t271))) % 1.14/1.40 (assume @p704 (forall (@list @t21 @t20 @t25 @t43 @t19) (or @t140 (tptp.c_lessequals @t20 @t242 @t21) @t240 (not (tptp.c_lessequals @t20 @t295 @t21))))) % 1.14/1.40 (assume @p705 (forall (@list @t11 @t56) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t11) @t56 @t11) @t56))) % 1.14/1.40 (assume @p706 (forall (@list @t432 @t596 @t595) (not (= @t433 @t597)))) % 1.14/1.40 (assume @p707 (forall (@list @t1 @t2 @t40) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat) @t668 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t670 @t2 tptp.tc_nat)))) % 1.14/1.40 (assume @p708 (forall (@list @t35 @t20 @t25) (or @t36 @t528 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_HOL_Ominus__class_Ominus @t20 @t25 tptp.tc_nat))))))) % 1.14/1.40 (assume @p709 (= @t485 @t168)) % 1.14/1.40 (assume @p710 (forall @t323 (or @t686 (= @t378 @t7)))) % 1.14/1.40 (assume @p711 (forall @t170 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t100 @t25 @t21) @t85)))) % 1.14/1.40 (assume @p712 (forall @t453 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t260 @t25 @t21) @t85)))) % 1.14/1.40 (assume @p713 (forall (@list @t43 @t7) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t43 @t7 tptp.tc_nat) @t43 tptp.tc_nat) @t34))) % 1.14/1.40 (assume @p714 (forall @t349 (or (not (= @t434 (tptp.c_Lambda_OdB_OVar @t346))) @t347))) % 1.14/1.40 (assume @p715 (forall (@list @t35 @t2 @t40) (or (not @t541) (not (tptp.c_HOL_Oord__class_Oless @t2 @t412 tptp.tc_nat)) @t411 @t36))) % 1.14/1.40 (assume @p716 (forall @t99 (or @t98 @t97 @t94 @t129 @t91 @t90))) % 1.14/1.40 (assume @p717 (forall @t148 (or @t565 @t564 @t134))) % 1.14/1.40 (assume @p718 (forall (@list @t596 @t595 @t432) (not (= @t597 @t433)))) % 1.14/1.40 (assume @p719 (forall (@list @t432 @t106) (not (= @t433 @t434)))) % 1.14/1.40 (assume @p720 (forall @t170 (or @t30 (= (tptp.hAPP (tptp.hAPP @t22 @t26) @t28) @t20)))) % 1.14/1.40 (assume @p721 (forall @t17 (or (tptp.c_lessequals @t715 @t714 tptp.tc_nat) @t55))) % 1.14/1.40 (assume @p722 (forall @t713 (or (tptp.c_lessequals @t542 @t712 tptp.tc_nat) @t55))) % 1.14/1.40 (assume @p723 (forall @t218 (or @t217 @t134))) % 1.14/1.40 (assume @p724 (forall @t214 (or @t213 @t134))) % 1.14/1.40 (assume @p725 (forall @t82 (or @t351 (not @t748)))) % 1.14/1.40 (assume @p726 (forall @t148 (or @t748 @t352))) % 1.14/1.40 (assume @p727 (forall @t82 (or @t351 (not @t610)))) % 1.14/1.40 (assume @p728 (forall @t82 (or @t249 @t352))) % 1.14/1.40 (assume @p729 (forall @t259 (or @t380 (= @t567 @t85)))) % 1.14/1.40 (assume @p730 (forall @t510 (or @t380 @t506 @t89 @t401))) % 1.14/1.40 (assume @p731 (forall @t33 (or @t380 @t667 @t511 @t401))) % 1.14/1.40 (assume @p732 (forall @t510 (or @t380 @t506 @t89 @t405))) % 1.14/1.40 (assume @p733 (forall @t33 (or @t380 @t667 @t511 @t405))) % 1.14/1.40 (assume @p734 (forall (@list @t178 @t56 @t175 @t11) (= (tptp.c_Lambda_Osubst @t278 @t175 @t11) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t178 @t175 @t11) (tptp.c_Lambda_Osubst @t56 @t175 @t11))))) % 1.14/1.40 (assume @p735 (forall @t218 (or (not (= @t608 @t607)) @t154))) % 1.14/1.40 (assume @p736 (forall @t198 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t40 @t168 tptp.tc_nat)) @t40) @t74))) % 1.14/1.40 (assume @p737 (forall @t174 (or @t478 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t78 @t21) (tptp.hAPP (tptp.hAPP @t22 @t172) @t171))))) % 1.14/1.40 (assume @p738 (forall @t82 (or (tptp.c_HOL_Oord__class_Oless @t135 @t1 tptp.tc_nat) @t396 @t74))) % 1.14/1.40 (assume @p739 (forall @t127 (or @t111 (tptp.c_lessequals @t750 @t749 @t21)))) % 1.14/1.40 (assume @p740 (forall @t753 (or @t140 @t752 @t751 @t283))) % 1.14/1.40 (assume @p741 (forall @t753 (or @t140 @t752 @t282 (not @t751)))) % 1.14/1.40 (assume @p742 (forall @t753 (or @t140 @t752 @t754 @t271))) % 1.14/1.40 (assume @p743 (forall @t753 (or @t140 @t752 @t270 (not @t754)))) % 1.14/1.40 (assume @p744 (forall @t264 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t21)) (= (tptp.c_Power_Opower__class_Opower @t100 @t40 @t21) (tptp.c_HOL_Otimes__class_Otimes @t130 @t457 @t21))))) % 1.14/1.40 (assume @p745 (forall (@list @t21 @t7 @t109 @t75) (or @t222 (= (tptp.c_Power_Opower__class_Opower @t194 @t75 @t21) (tptp.c_HOL_Otimes__class_Otimes @t229 (tptp.c_Power_Opower__class_Opower @t109 @t75 @t21) @t21))))) % 1.14/1.40 (assume @p746 (forall @t104 (or @t30 (= @t479 @t267)))) % 1.14/1.40 (assume @p747 (forall @t31 (or @t30 (= @t480 @t267)))) % 1.14/1.40 (assume @p748 (forall @t148 (or @t678 @t351))) % 1.14/1.40 (assume @p749 (forall @t669 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t40 @t672 tptp.tc_nat) @t40 tptp.tc_nat) @t74))) % 1.14/1.40 (assume @p750 (forall @t82 (or @t657 @t388 @t386))) % 1.14/1.40 (assume @p751 (forall @t82 (or @t657 @t452 @t197))) % 1.14/1.40 (assume @p752 (forall @t314 (or @t111 (= (tptp.c_Orderings_Oord__class_Omax @t125 @t7 @t21) (tptp.c_Orderings_Oord__class_Omin @t663 (tptp.c_Orderings_Oord__class_Omax @t122 @t7 @t21) @t21))))) % 1.14/1.40 (assume @p753 (forall @t127 (or @t111 (= @t750 @t749)))) % 1.14/1.40 (assume @p754 (forall @t262 (or @t227 (= (tptp.c_Power_Opower__class_Opower @t20 @t149 @t21) (tptp.c_Power_Opower__class_Opower @t307 @t40 @t21))))) % 1.14/1.40 (assume @p755 (forall @t453 (or @t30 (= @t32 @t20)))) % 1.14/1.40 (assume @p756 (forall @t170 (or @t30 (= @t29 @t20)))) % 1.14/1.40 (assume @p757 (forall @t170 (or @t30 (= @t20 @t29)))) % 1.14/1.40 (assume @p758 (forall @t453 (or @t276 @t667 @t556 @t344))) % 1.14/1.40 (assume @p759 (forall @t453 (or @t276 @t667 @t344 @t556))) % 1.14/1.40 (assume @p760 (forall @t82 (or @t351 @t154 @t134))) % 1.14/1.40 (assume @p761 (forall @t82 (or @t154 @t351 @t134))) % 1.14/1.40 (assume @p762 (forall @t112 (or @t276 @t429 @t270 @t121))) % 1.14/1.40 (assume @p763 (forall @t112 (or @t276 @t270 @t429 @t121))) % 1.14/1.40 (assume @p764 (forall @t170 (or @t276 @t89 @t556 @t239))) % 1.14/1.40 (assume @p765 (forall @t170 (or @t276 @t89 @t239 @t556))) % 1.14/1.40 (assume @p766 (forall @t112 (or @t111 @t429 @t121 @t270))) % 1.14/1.40 (assume @p767 (forall @t112 (or @t111 @t429 @t270 @t121))) % 1.14/1.40 (assume @p768 (forall @t170 (or @t604 @t725 @t269 @t129))) % 1.14/1.40 (assume @p769 (forall @t170 (or @t380 @t725 @t530 @t533))) % 1.14/1.40 (assume @p770 (forall @t170 (or @t380 @t725 @t269 @t129))) % 1.14/1.40 (assume @p771 (forall @t202 (or @t380 (tptp.c_lessequals @t85 @t605 @t21)))) % 1.14/1.40 (assume @p772 (forall @t170 (or @t370 @t725 @t530 @t533))) % 1.14/1.40 (assume @p773 (forall @t170 (or @t370 @t725 @t269 @t129))) % 1.14/1.40 (assume @p774 (forall @t148 (or @t74 (tptp.c_lessequals @t583 @t1 tptp.tc_nat)))) % 1.14/1.40 (assume @p775 (forall @t104 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t96 @t399 @t21) (tptp.c_HOL_Otimes__class_Otimes @t26 @t19 @t21))))) % 1.14/1.40 (assume @p776 (forall @t510 (or @t30 (= (tptp.c_Divides_Odiv__class_Omod @t403 @t402 @t21) (tptp.c_HOL_Otimes__class_Otimes @t19 @t26 @t21))))) % 1.14/1.40 (assume @p777 (forall @t148 (or @t375 (not @t755)))) % 1.14/1.40 (assume @p778 (forall @t148 (or @t755 @t376))) % 1.14/1.40 (assume @p779 (forall @t31 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t21)) (= (tptp.c_HOL_Otimes__class_Otimes @t100 @t19 @t21) (tptp.c_HOL_Otimes__class_Otimes @t20 @t399 @t21))))) % 1.14/1.40 (assume @p780 (forall @t757 (or @t222 (= @t756 (tptp.c_HOL_Otimes__class_Otimes @t577 @t574 @t21))))) % 1.14/1.40 (assume @p781 (forall @t757 (or @t222 (= @t756 (tptp.c_HOL_Otimes__class_Otimes @t576 (tptp.c_HOL_Otimes__class_Otimes @t574 @t575 @t21) @t21))))) % 1.14/1.40 (assume @p782 (forall @t759 (or @t222 (= @t758 (tptp.c_HOL_Otimes__class_Otimes @t577 @t573 @t21))))) % 1.14/1.40 (assume @p783 (forall @t759 (or @t222 (= @t758 (tptp.c_HOL_Otimes__class_Otimes @t575 (tptp.c_HOL_Otimes__class_Otimes @t576 @t573 @t21) @t21))))) % 1.14/1.40 (assume @p784 (forall @t167 (= (tptp.c_HOL_Otimes__class_Otimes @t149 @t11 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t1 @t211 tptp.tc_nat)))) % 1.14/1.40 (assume @p785 (forall @t127 (or @t222 (= (tptp.c_HOL_Otimes__class_Otimes @t7 (tptp.c_HOL_Otimes__class_Otimes @t109 @t122 @t21) @t21) (tptp.c_HOL_Otimes__class_Otimes @t194 @t122 @t21))))) % 1.14/1.40 (assume @p786 (forall @t31 (or @t222 @t760))) % 1.14/1.40 (assume @p787 (forall @t31 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t21)) @t760))) % 1.14/1.40 (assume @p788 (forall @t167 (= (tptp.c_HOL_Otimes__class_Otimes @t78 @t11 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t3 @t212) @t211)))) % 1.14/1.40 (assume @p789 (forall @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t78 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t3 @t216) @t215)))) % 1.14/1.40 (assume @p790 (forall @t127 (or @t222 (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t287 @t21) @t196)))) % 1.14/1.40 (assume @p791 (forall @t170 (or @t276 @t90 @t716))) % 1.14/1.40 (assume @p792 (forall @t112 (or @t111 @t271 @t275))) % 1.14/1.40 (assume @p793 (forall @t148 (or @t375 @t133))) % 1.14/1.40 (assume @p794 (forall @t322 (or @t111 @t282 @t120))) % 1.14/1.40 (assume @p795 (forall @t322 (or @t272 @t275 @t271))) % 1.14/1.40 (assume @p796 (forall @t453 (or @t272 @t716 @t90))) % 1.14/1.40 (assume @p797 (forall @t395 (or (not @t747) @t42))) % 1.14/1.40 (assume @p798 (forall (@list @t390 @t389 @t20 @t21) (= (tptp.c_Power_Opower_Opower @t390 @t389 @t20 @t34 @t21) @t390))) % 1.14/1.40 (assume @p799 (tptp.c_lessequals @t34 @t34 tptp.tc_nat)) % 1.14/1.40 (assume @p800 (forall @t82 (= @t761 (tptp.c_HOL_Otimes__class_Otimes @t40 @t34 tptp.tc_nat)))) % 1.14/1.40 (assume @p801 (forall @t82 (= @t693 @t692))) % 1.14/1.40 (assume @p802 (forall (@list @t21 @t477 @t2) (or @t478 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t477 @t34 @t2 @t21) @t2)))) % 1.14/1.40 (assume @p803 (forall @t108 (or @t107 (tptp.hBOOL (tptp.hAPP @t35 @t586)) @t37))) % 1.14/1.40 (assume @p804 (forall @t711 (or @t36 (not (tptp.hBOOL (tptp.hAPP @t35 @t710))) @t709))) % 1.14/1.40 (assume @p805 (not (tptp.c_HOL_Oord__class_Oless @t34 @t34 tptp.tc_nat))) % 1.14/1.40 (assume @p806 (forall (@list @t178 @t11) (= (tptp.c_Lambda_Oliftn @t34 @t178 @t11) @t178))) % 1.14/1.40 (assume @p807 (forall (@list @t35 @t1) (or (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Divides_Odiv__class_Odiv @t1 @t34 tptp.tc_nat))) @t37))) % 1.14/1.40 (assume @p808 (forall @t395 (or @t37 @t762))) % 1.14/1.40 (assume @p809 (forall @t395 (or (not @t762) @t36))) % 1.14/1.40 (assume @p810 (forall @t198 (or @t73 @t197))) % 1.14/1.40 (assume @p811 (forall @t763 (= (tptp.c_Nat_Onat_Onat__rec @t325 @t324 @t34 @t21) @t325))) % 1.14/1.40 (assume @p812 (forall @t395 (or (tptp.hBOOL (tptp.hAPP @t35 @t412)) @t411 @t36))) % 1.14/1.40 (assume @p813 (forall @t584 (not (= @t80 @t34)))) % 1.14/1.40 (assume @p814 (forall @t764 (not (= @t431 @t34)))) % 1.14/1.40 (assume @p815 (forall @t148 (or (not (= @t593 @t34)) @t137 @t154))) % 1.14/1.40 (assume @p816 (forall @t198 (or @t197 (not (tptp.c_lessequals @t40 @t34 tptp.tc_nat))))) % 1.14/1.40 (assume @p817 (forall @t395 (or @t42 (tptp.hBOOL (tptp.hAPP @t35 @t394)) @t37))) % 1.14/1.40 (assume @p818 (forall @t584 (= @t761 @t34))) % 1.14/1.40 (assume @p819 (forall @t198 (= @t692 @t34))) % 1.14/1.40 (assume @p820 (forall @t82 (or (not (= @t149 @t34)) @t197 @t452))) % 1.14/1.40 (assume @p821 (forall @t82 (or @t765 @t197))) % 1.14/1.40 (assume @p822 (forall @t82 (or @t765 @t452))) % 1.14/1.40 (assume @p823 (forall (@list @t7 @t766 @t21) (= (tptp.c_Nat_Onat_Onat__case @t7 @t766 @t34 @t21) @t7))) % 1.14/1.40 (assume @p824 (forall @t763 (= (tptp.c_Nat_Onat_Onat__case @t325 @t324 @t34 @t21) @t325))) % 1.14/1.40 (assume @p825 (forall @t198 (= (tptp.c_Orderings_Oord__class_Omin @t40 @t34 tptp.tc_nat) @t34))) % 1.14/1.40 (assume @p826 (forall @t198 (= (tptp.c_Orderings_Oord__class_Omin @t34 @t40 tptp.tc_nat) @t34))) % 1.14/1.40 (assume @p827 (forall @t214 (or (not (= @t212 @t211)) @t544 @t154))) % 1.14/1.40 (assume @p828 (forall @t218 (or @t500 @t544 @t154))) % 1.14/1.40 (assume @p829 (forall @t218 (or @t500 @t154 @t544))) % 1.14/1.40 (assume @p830 (forall @t584 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t34 tptp.tc_nat) @t1))) % 1.14/1.40 (assume @p831 (forall @t584 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t1 tptp.tc_nat) @t34))) % 1.14/1.40 (assume @p832 (forall (@list @t7 @t20) (or (not (= @t7 (tptp.hAPP @t291 @t20))) (= @t20 @t34)))) % 1.14/1.40 (assume @p833 (forall @t82 (or (not (= @t78 @t1)) @t197))) % 1.14/1.40 (assume @p834 (forall @t108 (or @t107 (tptp.hBOOL (tptp.hAPP @t35 @t350)) @t37))) % 1.14/1.40 (assume @p835 (forall @t584 (not (= @t34 @t80)))) % 1.14/1.40 (assume @p836 (forall @t764 (not (= @t34 @t431)))) % 1.14/1.40 (assume @p837 (forall (@list @t35 @t325 @t324) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Nat_Onat_Onat__case @t325 @t324 @t34 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 @t325))))) % 1.14/1.40 (assume @p838 (forall @t108 (or @t107 (tptp.hBOOL (tptp.hAPP @t35 @t224)) @t37))) % 1.14/1.40 (assume @p839 (forall @t254 (= (tptp.c_Nitpick_Onat__gcd @t7 @t34) @t7))) % 1.14/1.40 (assume @p840 (= (tptp.c_nat_Onat__size @t34) @t34)) % 1.14/1.40 (assume @p841 (forall @t767 (= (tptp.c_String_Ochar_Ochar__size @t19) @t34))) % 1.14/1.40 (assume @p842 (= (tptp.hAPP @t484 @t34) @t34)) % 1.14/1.40 (assume @p843 (forall @t108 (or @t107 (tptp.hBOOL (tptp.hAPP @t35 @t105)) @t37))) % 1.14/1.40 (assume @p844 (forall @t584 (not (tptp.c_HOL_Oord__class_Oless @t1 @t34 tptp.tc_nat)))) % 1.14/1.40 (assume @p845 (forall @t198 (not (tptp.c_HOL_Oord__class_Oless @t40 @t34 tptp.tc_nat)))) % 1.14/1.40 (assume @p846 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t34)) % 1.14/1.40 (assume @p847 (forall @t108 (or @t107 (tptp.hBOOL (tptp.hAPP @t35 @t345)) @t37))) % 1.14/1.40 (assume @p848 (forall (@list @t684 @t21) (= (tptp.c_List_Odrop @t34 @t684 @t21) @t684))) % 1.14/1.40 (assume @p849 (forall @t198 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t40 tptp.tc_nat) @t34))) % 1.14/1.40 (assume @p850 (forall @t395 (or @t42 (not (tptp.hBOOL (tptp.hAPP @t35 @t38))) @t37))) % 1.14/1.40 (assume @p851 (forall @t198 (tptp.c_lessequals @t34 @t40 tptp.tc_nat))) % 1.14/1.40 (assume @p852 (forall @t767 (= (tptp.c_Nat_Osize__class_Osize @t19 tptp.tc_String_Ochar) @t34))) % 1.14/1.40 (assume @p853 (forall (@list @t7 @t21 @t109) (= (tptp.c_List_Oreplicate @t34 @t7 @t21) (tptp.c_List_Oreplicate @t34 @t109 @t21)))) % 1.14/1.40 (assume @p854 (forall @t198 (= (tptp.c_Orderings_Oord__class_Omax @t40 @t34 tptp.tc_nat) @t40))) % 1.14/1.40 (assume @p855 (forall @t198 (= (tptp.c_Orderings_Oord__class_Omax @t34 @t40 tptp.tc_nat) @t40))) % 1.14/1.40 (assume @p856 (forall @t156 (or @t155 @t429 @t452))) % 1.14/1.40 (assume @p857 (forall @t254 (= @t7 (tptp.hAPP @t291 @t34)))) % 1.14/1.40 (assume @p858 (forall @t198 (= (tptp.hAPP @t484 @t40) @t40))) % 1.14/1.40 (assume @p859 (forall @t584 (= (tptp.hAPP @t6 @t34) @t1))) % 1.14/1.40 (assume @p860 (forall (@list @t331 @t7 @t329 @t333 @t332 @t330 @t21) (or (= (tptp.hAPP @t335 @t34) @t329) @t334))) % 1.14/1.40 (assume @p861 (forall (@list @t44 @t769 @t277 @t178) (or (tptp.c_Type_Otyping @t44 @t769 @t277) (not (tptp.c_Lambda_Obeta @t178 @t769)) @t768))) % 1.14/1.40 (assume @p862 (forall (@list @t44 @t2 @t277) (or (= (tptp.hAPP @t44 @t2) @t277) (not (tptp.c_Type_Otyping @t44 @t203 @t277))))) % 1.14/1.40 (assume @p863 (forall (@list @t770 @t7) (tptp.c_Type_Otyping @t770 @t475 (tptp.hAPP @t770 @t7)))) % 1.14/1.40 (assume @p864 (forall (@list @t44 @t178 @t277 @t56) (or (tptp.c_Type_Otyping @t44 @t178 (tptp.c_Type_Otype_OFun @t280 @t277)) @t279))) % 1.14/1.40 (assume @p865 (forall (@list @t44 @t178 @t277) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t44 @t34 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t44 @t178) tptp.tc_Type_Otype) @t178 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t44 @t178)) @t729))) % 1.14/1.40 (assume @p866 (forall (@list @t44 @t277 @t178) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t44 @t34 @t731 tptp.tc_Type_Otype) @t178 @t730) @t729))) % 1.14/1.40 (assume @p867 (forall (@list @t772 @t771 @t106) (not (= @t773 @t348)))) % 1.14/1.40 (assume @p868 (forall (@list @t35 @t775 @t774 @t277) (or (not (= @t481 (tptp.c_Type_Otype_OFun @t775 @t774))) @t482 (tptp.hBOOL (tptp.hAPP @t35 @t774))))) % 1.14/1.40 (assume @p869 (forall (@list @t35 @t776 @t7 @t277) (or (not (= @t481 (tptp.c_Type_Otype_OFun @t776 @t7))) @t482 (tptp.hBOOL (tptp.hAPP @t35 @t776))))) % 1.14/1.40 (assume @p870 (forall @t781 (= (tptp.c_Type_Otype_Otype__rec @t325 @t324 @t780 @t21) (tptp.hAPP (tptp.hAPP @t779 (tptp.c_Type_Otype_Otype__rec @t325 @t324 @t778 @t21)) (tptp.c_Type_Otype_Otype__rec @t325 @t324 @t777 @t21))))) % 1.14/1.40 (assume @p871 (forall @t781 (= (tptp.c_Type_Otype_Otype__case @t325 @t324 @t780 @t21) @t779))) % 1.14/1.40 (assume @p872 (forall (@list @t35 @t325 @t324 @t495 @t687) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Type_Otype_Otype__case @t325 @t324 (tptp.c_Type_Otype_OFun @t495 @t687) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 (tptp.hAPP @t522 @t687)))))) % 1.14/1.40 (assume @p873 (forall (@list @t35 @t325 @t324 @t778 @t777) (or (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_Type_Otype_Otype__case @t325 @t324 @t780 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t35 @t779))))) % 1.14/1.40 (assume @p874 (forall (@list @t106 @t772 @t771) (not (= @t348 @t773)))) % 1.14/1.40 (assume @p875 (forall @t718 (or (tptp.c_InductTermi_OIT @t782) @t717))) % 1.14/1.40 (assume @p876 (forall (@list @t175 @t178 @t11) (= (tptp.c_Lambda_Olift @t665 @t11) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t175 @t11) @t783)))) % 1.14/1.40 (assume @p877 (forall (@list @t178 @t11 @t175) (= (tptp.c_Lambda_Osubst @t783 @t175 @t11) @t178))) % 1.14/1.40 (assume @p878 (forall (@list @t176 @t2 @t175) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t176 @t2) (tptp.c_Lambda_Olift @t175 @t2)) @t177))) % 1.14/1.40 (assume @p879 (forall (@list @t44 @t2 @t277 @t21 @t10) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t44 @t2 @t277 @t21) @t10) (tptp.hAPP @t44 @t10)) @t698))) % 1.14/1.40 (assume @p880 (forall (@list @t178 @t56 @t2 @t44 @t784 @t277) (or (tptp.c_InductTermi_OIT @t786) (not (tptp.c_Type_Otyping @t44 @t56 @t784)) (not (tptp.c_InductTermi_OIT @t56)) (not (tptp.c_Type_Otyping @t785 @t178 @t277)) @t717))) % 1.14/1.40 (assume @p881 (forall @t88 (or @t736 @t735 @t734 @t86 @t787 @t197))) % 1.14/1.40 (assume @p882 (forall @t88 (or @t87 @t86 @t787 @t197))) % 1.14/1.40 (assume @p883 (forall @t202 (or @t736 @t735 @t734 @t86 (not (= (tptp.c_Power_Opower__class_Opower @t20 @t34 @t21) @t85))))) % 1.14/1.40 (assume @p884 (forall @t259 (or @t478 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t34 @t21) @t85)))) % 1.14/1.40 (assume @p885 (tptp.c_InductTermi_OIT tptp.v_ta____)) % 1.14/1.40 (assume @p886 (forall (@list @t44 @t2 @t784 @t21 @t277) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t44 @t2 @t784 @t21) @t34 @t277 @t21) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t44 @t34 @t277 @t21) @t672 @t784 @t21)))) % 1.14/1.40 (assume @p887 (forall (@list @t770 @t175 @t178 @t784 @t277) (or (tptp.c_Type_Otyping @t770 @t665 @t784) (not (tptp.c_Type_Otyping @t770 @t178 @t277)) (not (tptp.c_Type_Otyping @t770 @t175 @t788))))) % 1.14/1.40 (assume @p888 (forall (@list @t789 @t56 @t784 @t2 @t178 @t277) (or (not (tptp.c_Type_Otyping @t789 @t56 @t784)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t789 @t2 @t784 tptp.tc_Type_Otype) @t178 @t277)) (tptp.c_Type_Otyping @t789 @t786 @t277)))) % 1.14/1.40 (assume @p889 (forall (@list @t770 @t178 @t277 @t784) (or (tptp.c_Type_Otyping @t770 @t724 @t788) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t770 @t34 @t277 tptp.tc_Type_Otype) @t178 @t784))))) % 1.14/1.40 (assume @p890 (tptp.c_Type_Otyping tptp.v_ea____ tptp.v_s____ @t790)) % 1.14/1.40 (assume @p891 (tptp.c_Type_Otyping @t791 (tptp.c_Lambda_OdB_OVar @t34) @t790)) % 1.14/1.40 (assume @p892 @t792) % 1.14/1.40 (assume @p893 (forall @t794 (or @t793 (= @t778 @t772)))) % 1.14/1.40 (assume @p894 (forall @t794 (or @t793 (= @t777 @t771)))) % 1.14/1.40 (assume @p895 (forall (@list @t44 @t7 @t277 @t21) (= (tptp.hAPP (tptp.c_Type_Oshift @t44 @t7 @t277 @t21) @t7) @t277))) % 1.14/1.40 (assume @p896 @t795) % 1.14/1.40 (assume @p897 (not @t796)) % 1.14/1.40 (assume @p898 (forall @t800 (or (tptp.class_Orderings_Opreorder @t799) (not (tptp.class_Orderings_Opreorder @t797))))) % 1.14/1.40 (assume @p899 (forall @t800 (or (tptp.class_Orderings_Oorder @t799) (not (tptp.class_Orderings_Oorder @t797))))) % 1.14/1.40 (assume @p900 (forall @t800 (or (tptp.class_Orderings_Obot @t799) (not (tptp.class_Orderings_Obot @t797))))) % 1.14/1.40 (assume @p901 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.14/1.40 (assume @p902 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.14/1.40 (assume @p903 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.14/1.40 (assume @p904 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.14/1.40 (assume @p905 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.14/1.40 (assume @p906 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.14/1.40 (assume @p907 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.14/1.40 (assume @p908 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.14/1.40 (assume @p909 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.14/1.40 (assume @p910 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.14/1.40 (assume @p911 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.14/1.40 (assume @p912 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.14/1.40 (assume @p913 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.14/1.40 (assume @p914 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.14/1.40 (assume @p915 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.14/1.40 (assume @p916 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.14/1.40 (assume @p917 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.14/1.40 (assume @p918 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.14/1.40 (assume @p919 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.14/1.40 (assume @p920 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.14/1.40 (assume @p921 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.14/1.40 (assume @p922 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.14/1.40 (assume @p923 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.14/1.40 (assume @p924 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.14/1.40 (assume @p925 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.14/1.40 (assume @p926 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.14/1.40 (assume @p927 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.14/1.40 (assume @p928 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.14/1.40 (assume @p929 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 1.14/1.40 (assume @p930 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.14/1.40 (assume @p931 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.14/1.40 (assume @p932 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.14/1.40 (assume @p933 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.14/1.40 (assume @p934 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.14/1.40 (assume @p935 (tptp.class_Power_Opower tptp.tc_nat)) % 1.14/1.40 (assume @p936 (forall (@list @t7 @t21) (tptp.c_fequal @t7 @t7 @t21))) % 1.14/1.40 (assume @p937 (forall (@list @t802 @t801 @t21) (or (= @t802 @t801) (not (tptp.c_fequal @t802 @t801 @t21))))) % 1.14/1.40 (step @p938 :rule cnf_or_pos :args (@t804)) % 1.14/1.40 (step @p939 :rule reordering :premises (@p938) :args ((or @t796 @t803 @t805))) % 1.14/1.40 (step @p940 :rule chain_m_resolution :premises (@p939 @p897 @p896) :args (@t805 @t806 (@list @t796 @t795))) % 1.14/1.40 (assume-push @p947 @t792) % 1.14/1.40 (step @p942 :rule instantiate :premises (@p892) :args ((@list tptp.v_ea____ @t34 @t790 tptp.v_ta____ tptp.v_Ta____))) % 1.14/1.40 (step-pop @p948 :rule scope :premises (@p942)) % 1.14/1.40 (step @p943 :rule process_scope :premises (@p948) :args (@t804)) % 1.14/1.40 (step @p945 :rule implies_elim :premises (@p943)) % 1.14/1.40 (step @p946 false :rule chain_m_resolution :premises (@p945 @p940 @p892) :args (false @t806 (@list @t804 @t792))) % 1.14/1.40 ) % 1.14/1.40 % SZS output end Proof % 1.14/1.40 % cvc5 exiting %------------------------------------------------------------------------------